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| author | Siddhesh Wani | 2015-05-25 14:46:31 +0530 |
|---|---|---|
| committer | Siddhesh Wani | 2015-05-25 14:46:31 +0530 |
| commit | 6a320264c2de3d6dd8cc1d1327b3c30df4c8cb26 (patch) | |
| tree | 1b7bd89fdcfd01715713d8a15db471dc75a96bbf /2.3-1/src/c/elementaryFunctions | |
| download | Scilab2C-6a320264c2de3d6dd8cc1d1327b3c30df4c8cb26.tar.gz Scilab2C-6a320264c2de3d6dd8cc1d1327b3c30df4c8cb26.tar.bz2 Scilab2C-6a320264c2de3d6dd8cc1d1327b3c30df4c8cb26.zip | |
Original Version
Diffstat (limited to '2.3-1/src/c/elementaryFunctions')
388 files changed, 59591 insertions, 0 deletions
diff --git a/2.3-1/src/c/elementaryFunctions/Makefile.am b/2.3-1/src/c/elementaryFunctions/Makefile.am new file mode 100644 index 00000000..66caa2d4 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/Makefile.am @@ -0,0 +1,40 @@ +## +## Scilab ( http://www.scilab.org/ ) - This file is part of Scilab +## Copyright (C) 2006-2008 - INRIA - Bruno JOFRET +## +## This file must be used under the terms of the CeCILL. +## This source file is licensed as described in the file COPYING, which +## you should have received as part of this distribution. The terms +## are also available at +## http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt +## +## + +dist_SUBDIRS= includes + +SUBDIRS= cos \ + cosh \ + acos \ + acosh \ + sin \ + sinh \ + asinh \ + tan \ + tanh \ + atan \ + atanh \ + exp \ + exp10 \ + log \ + log1p \ + log10 \ + sqrt \ + asin \ + lnp1m1 \ + pow \ + atan2\ + ceil\ + floor\ + fix\ + int\ + round diff --git a/2.3-1/src/c/elementaryFunctions/Makefile.in b/2.3-1/src/c/elementaryFunctions/Makefile.in new file mode 100644 index 00000000..d9edd2db --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/Makefile.in @@ -0,0 +1,587 @@ +# Makefile.in generated by automake 1.11.1 from Makefile.am. +# @configure_input@ + +# Copyright (C) 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002, +# 2003, 2004, 2005, 2006, 2007, 2008, 2009 Free Software Foundation, +# Inc. +# This Makefile.in is free software; the Free Software Foundation +# gives unlimited permission to copy and/or distribute it, +# with or without modifications, as long as this notice is preserved. + +# This program is distributed in the hope that it will be useful, +# but WITHOUT ANY WARRANTY, to the extent permitted by law; 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The terms +## are also available at +## http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt +## +## + +libAcos_la_CFLAGS = -I $(top_builddir)/src/c/type \ + -I $(top_builddir)/src/c/elementaryFunctions/includes \ + -I $(top_builddir)/src/c/auxiliaryFunctions/includes + +instdir = $(top_builddir)/lib + +pkglib_LTLIBRARIES = libAcos.la + +libAcos_la_SOURCES = $(HEAD) $(SRC) + +SRC = sacoss.c \ + dacoss.c \ + cacoss.c \ + zacoss.c \ + sacosa.c \ + dacosa.c \ + cacosa.c \ + zacosa.c + +HEAD = ../includes/acos.h \ + ../../auxiliaryFunctions/includes/min.h \ + ../../auxiliaryFunctions/includes/max.h + +#### +# Checking Part +#### + +check_INCLUDES = -I $(top_builddir)/src/c/elementaryFunctions/includes \ + -I $(top_builddir)/includes \ + -I $(top_builddir)/src/c/type + +check_LDADD = $(top_builddir)/src/c/type/libDoubleComplex.la \ + $(top_builddir)/src/c/type/libFloatComplex.la \ + $(top_builddir)/src/c/operations/addition/libAddition.la \ + 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This file is part of Scilab + * Copyright (C) 2007-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "acos.h" + +void cacosa(floatComplex* x, int size, floatComplex* y) { + int i = 0; + for (i = 0; i < size; ++i) { + y[i] = cacoss(x[i]); + } +} diff --git a/2.3-1/src/c/elementaryFunctions/acos/cacoss.c b/2.3-1/src/c/elementaryFunctions/acos/cacoss.c new file mode 100644 index 00000000..97420313 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/acos/cacoss.c @@ -0,0 +1,147 @@ +/*
+ * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
+ * Copyright (C) 2007-2008 - INRIA - Bruno JOFRET
+ * Copyright (C) Bruno Pincon
+ *
+ * This file must be used under the terms of the CeCILL.
+ * This source file is licensed as described in the file COPYING, which
+ * you should have received as part of this distribution. The terms
+ * are also available at
+ * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt
+ *
+ */
+
+/*
+ * This fonction is a translation of fortran wacos write by Bruno Pincon <Bruno.Pincon@iecn.u-nancy.fr>
+ * REFERENCE
+ * This is a Fortran-77 translation of an algorithm by
+ * T.E. Hull, T. F. Fairgrieve and P.T.P. Tang which
+ * appears in their article :
+ * "Implementing the Complex Arcsine and Arccosine
+ * Functions Using Exception Handling", ACM, TOMS,
+ * Vol 23, No. 3, Sept 1997, p. 299-335
+ */
+
+#include "acos.h"
+#include "atan.h"
+#include "log.h"
+#include "log1p.h"
+#include "sqrt.h"
+#include "abs.h"
+#include "lapack.h"
+#include "min.h"
+#include "max.h"
+
+#define localSign(x) (x>0 ? 1.0f : -1.0f)
+
+floatComplex cacoss(floatComplex z) {
+ static float sfltPi = 3.1415926535897932384626433f;
+ static float sfltPi_2 = 1.5707963267948966192313216f;
+ static float sfltLn2 = 0.6931471805599453094172321f;
+ static float sfltAcross = 1.5f;
+ static float sfltBcross = 0.6417f;
+
+ float fltLsup = ssqrts((float) getOverflowThreshold())/8.0f;
+ float fltLinf = 4.0f * ssqrts((float) getUnderflowThreshold());
+ float fltEpsm = ssqrts((float) getRelativeMachinePrecision());
+
+ float fltAbsReal = sabss(creals(z));
+ float fltAbsImg = sabss(cimags(z));
+ float fltSignReal = localSign(creals(z));
+ float fltSignImg = localSign(cimags(z));
+
+ float fltR = 0, fltS = 0, fltA = 0, fltB = 0;
+
+ float fltTemp = 0;
+
+ float _pfltReal = 0;
+ float _pfltImg = 0;
+
+ if( min(fltAbsReal, fltAbsImg) > fltLinf && max(fltAbsReal, fltAbsImg) <= fltLsup)
+ {/* we are in the safe region */
+ fltR = ssqrts( (fltAbsReal + 1 )*(fltAbsReal + 1 ) + fltAbsImg*fltAbsImg);
+ fltS = ssqrts( (fltAbsReal - 1 )*(fltAbsReal - 1 ) + fltAbsImg*fltAbsImg);
+ fltA = 0.5f * ( fltR + fltS );
+ fltB = fltAbsReal / fltA;
+
+
+ /* compute the real part */
+ if(fltB <= sfltBcross)
+ _pfltReal = sacoss(fltB);
+ else if( fltAbsReal <= 1)
+ _pfltReal = satans(ssqrts(0.5f * (fltA + fltAbsReal) * (fltAbsImg*fltAbsImg / (fltR + (fltAbsReal + 1)) + (fltS + (1 - fltAbsReal)))) / fltAbsReal);
+ else
+ _pfltReal = satans((fltAbsImg * ssqrts(0.5f * ((fltA + fltAbsReal) / (fltR + (fltAbsReal + 1)) + (fltA + fltAbsReal) / (fltS + (fltAbsReal - 1))))) / fltAbsReal);
+
+ /* compute the imaginary part */
+ if(fltA <= sfltAcross)
+ {
+ float fltImg1 = 0;
+
+ if(fltAbsReal < 1)
+ /* Am1 = 0.5d0*((y**2)/(R+(x+1.d0))+(y**2)/(S+(1.d0-x))) */
+ fltImg1 = 0.5f * (fltAbsImg*fltAbsImg / (fltR + (fltAbsReal + 1)) + fltAbsImg*fltAbsImg / (fltS + (1 - fltAbsReal)));
+ else
+ /* Am1 = 0.5d0*((y**2)/(R+(x+1.d0))+(S+(x-1.d0))) */
+ fltImg1 = 0.5f * (fltAbsImg*fltAbsImg / (fltR + (fltAbsReal + 1)) + (fltS + (fltAbsReal - 1)));
+ /* ai = logp1(Am1 + sqrt(Am1*(A+1.d0))) */
+ fltTemp = fltImg1 + ssqrts(fltImg1 *( fltA + 1));
+ _pfltImg = slog1ps(fltTemp);
+ }
+ else
+ /* ai = log(A + sqrt(A**2 - 1.d0)) */
+ _pfltImg = slogs(fltA + ssqrts(fltA*fltA - 1));
+ }
+ else
+ {/* evaluation in the special regions ... */
+ if(fltAbsImg <= fltEpsm * sabss(fltAbsReal - 1))
+ {
+ if(fltAbsReal < 1)
+ {
+ _pfltReal = sacoss(fltAbsReal);
+ _pfltImg = fltAbsImg / ssqrts((1 + fltAbsReal) * (1 - fltAbsReal));
+ }
+ else
+ {
+ _pfltReal = 0;
+ if(fltAbsReal <= fltLsup)
+ {
+ fltTemp = (fltAbsReal - 1) + ssqrts((fltAbsReal - 1) * (fltAbsReal + 1));
+ _pfltImg = slog1ps(fltTemp);
+ }
+ else
+ _pfltImg = sfltLn2 + slogs(fltAbsReal);
+ }
+ }
+ else if(fltAbsImg < fltLinf)
+ {
+ _pfltReal = ssqrts(fltAbsImg);
+ _pfltImg = _pfltReal;
+ }
+ else if((fltEpsm * fltAbsImg - 1 >= fltAbsReal))
+ {
+ _pfltReal = sfltPi_2;
+ _pfltImg = sfltLn2 + slogs(fltAbsImg);
+ }
+ else if(fltAbsReal > 1)
+ {
+ _pfltReal = satans(fltAbsImg / fltAbsReal);
+ fltTemp = (fltAbsReal / fltAbsImg)*(fltAbsReal / fltAbsImg);
+ _pfltImg = sfltLn2 + slogs(fltAbsImg) + 0.5f * slog1ps(fltTemp);
+ }
+ else
+ {
+ float fltTemp2 = ssqrts(1 + fltAbsImg*fltAbsImg);
+ _pfltReal = sfltPi_2;
+ fltTemp = 2 * fltAbsImg * (fltAbsImg + fltTemp2);
+ _pfltImg = 0.5f * slog1ps(fltTemp);
+ }
+ }
+ if(fltSignReal < 0)
+ _pfltReal = sfltPi - _pfltReal;
+
+ if(fltAbsImg != 0 || fltSignReal < 0)
+ _pfltImg = - fltSignImg * _pfltImg;
+
+ return FloatComplex(_pfltReal, _pfltImg);
+}
diff --git a/2.3-1/src/c/elementaryFunctions/acos/dacosa.c b/2.3-1/src/c/elementaryFunctions/acos/dacosa.c new file mode 100644 index 00000000..62626a7c --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/acos/dacosa.c @@ -0,0 +1,20 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2007-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "acos.h" + +void dacosa(double* x, int size, double* y) { + int i = 0; + for (i = 0; i < size; ++i) { + y[i] = dacoss(x[i]); + } +} diff --git a/2.3-1/src/c/elementaryFunctions/acos/dacoss.c b/2.3-1/src/c/elementaryFunctions/acos/dacoss.c new file mode 100644 index 00000000..1c5eab24 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/acos/dacoss.c @@ -0,0 +1,19 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2007-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + + +#include <math.h> +#include "acos.h" + +double dacoss(double x) { + return (acos(x)); +} diff --git a/2.3-1/src/c/elementaryFunctions/acos/sacosa.c b/2.3-1/src/c/elementaryFunctions/acos/sacosa.c new file mode 100644 index 00000000..6035130b --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/acos/sacosa.c @@ -0,0 +1,20 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2007-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "acos.h" + +void sacosa(float* x, int size, float* y) { + int i = 0; + for (i = 0; i < size; ++i) { + y[i] = sacoss(x[i]); + } +} diff --git a/2.3-1/src/c/elementaryFunctions/acos/sacoss.c b/2.3-1/src/c/elementaryFunctions/acos/sacoss.c new file mode 100644 index 00000000..733c8afe --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/acos/sacoss.c @@ -0,0 +1,18 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include <math.h> +#include "acos.h" + +float sacoss(float x) { + return (acosf(x)); +} diff --git a/2.3-1/src/c/elementaryFunctions/acos/testAcos.h b/2.3-1/src/c/elementaryFunctions/acos/testAcos.h new file mode 100644 index 00000000..781c9cb9 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/acos/testAcos.h @@ -0,0 +1,38 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2007-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#ifndef _TESTACOS_H_ +#define _TESTACOS_H_ + +#include <stdio.h> +#include <assert.h> +#include "acos.h" + +void sacossTest(void); + +void dacossTest(void); + +void cacossTest(void); + +void zacossTest(void); + +void sacosaTest(void); + +void dacosaTest(void); + +void cacosaTest(void); + +void zacosaTest(void); + +int testAcos(void); + +#endif /* ! _TESTACOS_H_ */ diff --git a/2.3-1/src/c/elementaryFunctions/acos/testCplxAcos.c b/2.3-1/src/c/elementaryFunctions/acos/testCplxAcos.c new file mode 100644 index 00000000..f1b235db --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/acos/testCplxAcos.c @@ -0,0 +1,681 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Arnaud TORSET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "testAcos.h" +#include <math.h> +#include <stdio.h> +#include <assert.h> + + +#define InRF {0.4424391170032322406769f,0.6678683990612626075745f,0.3319660718552768230438f, \ +0.9546736516058444976807f,0.0156700448133051395416f,0.8749210601672530174255f, \ +0.4522444806061685085297f,0.5117330569773912429810f,0.0253186416812241077423f, \ +0.0014351801946759223938f,0.9977079438976943492889f,0.2380047738552093505859f, \ +0.9923671730794012546539f,0.8377430764958262443542f,0.3201149418018758296967f, \ +0.8609968703240156173706f,0.2300571207888424396515f,0.0514277378097176551819f, \ +0.7738713542930781841278f,0.7888738475739955902100f,0.3247241438366472721100f, \ +0.4342710664495825767517f,0.2505763596855103969574f,0.1493970695883035659790f, \ +0.1849924144335091114044f,0.4753739954903721809387f,0.1413027080707252025604f, \ +0.8269120678305625915527f,0.7530783289112150669098f,0.4791984809562563896179f, \ +0.5703613697551190853119f,0.4661327209323644638062f,0.9719535936601459980011f, \ +0.9472813690081238746643f,0.2443005586974322795868f,0.9114723093807697296143f, \ +0.1021176860667765140533f,0.442370138131082057953f,0.7598891309462487697601f, \ +0.0506714452058076858521f,0.9817296904511749744415f,0.6537305163219571113586f, \ +0.7148343580774962902069f,0.5314728766679763793945f,0.3238495090045034885406f, \ +0.8823759732767939567566f,0.4649840756319463253021f,0.3200931679457426071167f, \ +0.6445384477265179157257f,0.6649690875783562660217f,0.87176320655271410942f, \ +0.5702412538230419158936f,0.9155691773630678653717f,0.7551447888836264610291f, \ +0.8835946596227586269379f,0.7714338693767786026001f,0.535495069343596696854f, \ +0.1810054751113057136536f,0.2950546029023826122284f,0.6453578546643257141113f, \ +0.7128289067186415195465f,0.5975380046293139457703f,0.5275121121667325496674f, \ +0.7590293344110250473022f,0.8550809700973331928253f,0.6527025634422898292542f, \ +0.7750031943432986736298f,0.3234997726976871490479f,0.0574064985848963260651f, \ +0.5859434073790907859802f,0.3590891859494149684906f,0.146858902648091316223f, \ +0.2846125257201492786407f,0.7778714792802929878235f,0.6364495265297591686249f, \ +0.2102845311164855957031f,0.3402740904130041599274f,0.46986890118569135666f, \ +0.3029589070938527584076f,0.8358892183750867843628f,0.2167098228819668292999f, \ +0.372365341521799564362f,0.4379987935535609722137f,0.9151138328015804290771f, \ +0.9195669055916368961334f,0.3805362572893500328064f,0.1327533251605927944183f, \ +0.1664179805666208267212f,0.3607654091902077198029f,0.1161730112507939338684f, \ +0.0462395879440009593964f,0.8910173103213310241699f,0.4135520034469664096832f, \ +0.5144748641178011894226f,0.7328222631476819515228f,0.1954176928848028182983f, \ +0.7234130431897938251495f,0.1745128417387604713440f,0.0849626506678760051727f, \ +0.1494962759315967559814f,0.3685970292426645755768f,0.6921154772862792015076f, \ +0.734952067490667104721f,0.8488794136792421340942f,0.9639964443631470203400f, \ +0.6939264284446835517883f,0.7593796211294829845428f,0.8503674715757369995117f, \ +0.3021389641799032688141f,0.7913839695975184440613f,0.5300843580625951290131f, \ +0.9491565059870481491089f,0.1250380431301891803741f,0.1733723590150475502014f, \ +0.0553417871706187725067f,0.7666068188846111297607f,0.1206528753973543643951f, \ +0.0562950810417532920837f,0.6550347781740128993988f,0.1173083875328302383423f, \ +0.7377077308483421802521f,0.7103199632838368415833f,0.3135588350705802440643f, \ +0.6241931691765785217285f,0.9126206659711897373199f,0.2805461687967181205750f, \ +0.5542117445729672908783f,0.5504442807286977767944f,0.3022916098125278949738f, \ +0.1218430632725358009338f,0.1788175995461642742157f,0.3169520534574985504150f, \ +0.1164998249150812625885f,0.8661109572276473045349f,0.7163351974450051784515f, \ +0.6740669626742601394653f,0.1436607432551681995392f,0.9407137231901288032532f, \ +0.9242008137516677379608f,0.9963994324207305908203f,0.0636921771802008152008f, \ +0.7568332878872752189636f,0.1861553504131734371185f,0.6694165151566267014f, \ +0.6417399053461849689484f,0.2864959994331002235413f,0.1503058592788875102997f, \ +0.036585446447134017944f,0.8965126336552202701569f,0.2470208695158362388611f, \ +0.4511714405380189418793f,0.8758140746504068374634f,0.8369763311930000782013f, \ +0.6116396905854344367981f,0.8594635161571204662323f,0.8739381656050682067871f, \ +0.8611579411663115024567f,0.6650390280410647392273f,0.7033504783175885677338f, \ +0.0680055823177099227905f,0.4108084668405354022980f,0.3225740874186158180237f, \ +0.9049567128531634807587f,0.7221073396503925323486f,0.9756754324771463871002f, \ +0.931904456578195095062f,0.4758459976874291896820f,0.6085055340081453323364f, \ +0.0411347192712128162384f,0.27580172289162874222f,0.8152392762713134288788f, \ +0.1618081480264663696289f,0.0729317762888967990875f,0.9948789654299616813660f, \ +0.6547168060205876827240f,0.4749407302588224411011f,0.1327822064049541950226f, \ +0.1489921221509575843811f,0.9931546817533671855927f,0.605664949864149093628f, \ +0.2185817272402346134186f,0.1360632320865988731384f,0.8656457341276109218597f, \ +0.1623940262943506240845f,0.9229755070991814136505f,0.6870755525305867195129f, \ +0.2901548030786216259003f,0.6380550339818000793457f,0.5040368759073317050934f, \ +0.1559905512258410453796f,0.2356583862565457820892f,0.4607480820268392562866f, \ +0.9618054111488163471222f,0.8233367735520005226135f,0.9555186624638736248016f, \ +0.2299523688852787017822f,0.2144343988038599491119f,0.4322205847129225730896f, \ +0.5298418900929391384125f,0.1070291120558977127075f} + +#define InIF {0.9676976692862808704376f,0.6755087869241833686829f,0.9605711805634200572968f, \ +0.8287713527679443359375f,0.3716058083809912204742f,0.8529331116005778312683f, \ +0.6630636467598378658295f,0.3127506356686353683472f,0.0578817431814968585968f, \ +.4168665865436196327209f,0.6979019264690577983856f,0.3232105635106563568115f, \ +0.6520457030273973941803f,0.6255217781290411949158f,0.5866900808177888393402f, \ +0.1662572268396615982056f,0.3538595554418861865997f,0.0223209084942936897278f, \ +0.0555838677100837230682f,0.8830965086817741394043f,0.6798805170692503452301f, \ +0.9601878477260470390320f,0.5503053902648389339447f,0.9100682642310857772827f, \ +0.9618742396123707294464f,0.8895119810476899147034f,0.8663921202532947063446f, \ +0.6742273755371570587158f,0.6948372707702219486237f,0.6285339510068297386169f, \ +0.7384302965365350246429f,0.0932216811925172805786f,0.3283788901753723621368f, \ +0.3349032746627926826477f,0.7320226985029876232147f,0.4482167810201644897461f, \ +0.5952123203314840793610f,0.3971578357741236686707f,0.2822407945059239864349f, \ +0.5986177157610654830933f,0.9705053125508129596710f,0.9648752519860863685608f, \ +0.2223112653009593486786f,0.0073375217616558074951f,0.3558401078917086124420f, \ +0.3362461170181632041931f,0.6462869024835526943207f,0.5453626606613397598267f, \ +0.5815327730961143970490f,0.9218191178515553474426f,0.4494518819265067577362f, \ +0.5443653240799903869629f,0.8210619115270674228668f,0.0031680269166827201843f, \ +0.3902114122174680233002f,0.0661126133054494857788f,0.5113567491061985492706f, \ +0.0052305692806839942932f,0.0172157580964267253876f,0.8574225939810276031494f, \ +0.872694595251232385635f,0.5010691648349165916443f,0.3054686388932168483734f, \ +0.9594172257930040359497f,0.6219576788134872913361f,0.6678035454824566841125f, \ +0.3451700019650161266327f,0.439822167158126831055f,0.9729993590153753757477f, \ +0.4124652473255991935730f,0.9270431711338460445404f,0.2170634549111127853394f, \ +0.5178697113879024982452f,0.8865239778533577919006f,0.3678963701240718364716f, \ +0.4449110589921474456787f,0.0826504887081682682037f,0.6078358581289649009705f, \ +0.4201686209999024868011f,0.4264193121343851089478f,0.1516494569368660449982f, \ +0.9087635399773716926575f,0.6092100176028907299042f,0.5259142145514488220215f, \ +0.9537041061557829380035f,0.9292181981727480888367f,0.8420463739894330501556f, \ +0.0477776136249303817749f,0.8043447365052998065948f,0.8733733976259827613831f, \ +0.6313782478682696819305f,0.5507782585918903350830f,0.7975669191218912601471f, \ +0.7488008355721831321716f,0.7785643390379846096039f,0.5666997302323579788208f, \ +0.4409633320756256580353f,0.3067779587581753730774f,0.8593392628245055675507f, \ +0.1920152455568313598633f,0.3279649713076651096344f,0.4025174556300044059753f, \ +0.3560156985186040401459f,0.5213593374937772750854f,0.4409417365677654743195f, \ +0.4940686235204339027405f,0.7799209128133952617645f,0.3915464095771312713623f, \ +0.1789123923517763614655f,0.4986406108364462852478f,0.6278176582418382167816f, \ +0.4048861656337976455688f,0.7036139038391411304474f,0.7250975342467427253723f, \ +0.5160594466142356395721f,0.7005459144711494445801f,0.6976801478303968906403f, \ +0.1013754708692431449890f,0.3362301974557340145111f,0.4427097495645284652710f, \ +0.1286799986846745014191f,0.4155713254585862159729f,0.7760182614438235759735f, \ +0.4942846037447452545166f,0.1127647892571985721588f,0.7894535725936293601990f, \ +0.0490748188458383083344f,0.2449031788855791091919f,0.4716751468367874622345f, \ +0.1031448738649487495422f,0.1776066529564559459686f,0.0619737505912780761719f, \ +0.0768572040833532810211f,0.5897265700623393058777f,0.6714532985351979732513f, \ +0.3335268478840589523315f,0.5744381849654018878937f,0.3185150483623147010803f, \ +0.9473985652439296245575f,0.57160880789160728455f,0.5848113656975328922272f, \ +0.7857599845156073570251f,0.3324664360843598842621f,0.5449722055345773696899f, \ +0.9705804106779396533966f,0.3315144600346684455872f,0.9949513408355414867401f, \ +0.9098131582140922546387f,0.2666130834259092807770f,0.6014269543811678886414f, \ +0.6469328044913709163666f,0.3073055054992437362671f,0.8659543325193226337433f, \ +0.7722052121534943580627f,0.3620244706980884075165f,0.3966818638145923614502f, \ +0.0553487525321543216705f,0.7595019852742552757263f,0.3521075001917779445648f, \ +0.7926115561276674270630f,0.4941224199719727039337f,0.1269726501777768135071f, \ +0.0467983442358672618866f,0.3756254166364669799805f,0.2301741042174398899078f, \ +0.9152546999976038932800f,0.3194008930586278438568f,0.9443374704569578170776f, \ +0.8468258534558117389679f,0.1096191117540001869202f,0.2030929992906749248505f, \ +0.6782134883105754852295f,0.8342829556204378604889f,0.9650435885414481163025f, \ +0.9410973764024674892426f,0.3796364162117242813110f,0.7794532743282616138458f, \ +0.9074576767161488533020f,0.7145868721418082714081f,0.9640186801552772521973f, \ +0.4678759598173201084137f,0.2299097580835223197937f,0.8920741169713437557220f, \ +0.1667113658040761947632f,0.4915095348842442035675f,0.3024059170857071876526f, \ +0.1440355475060641765594f,0.9354602731764316558838f,0.4561293558217585086823f, \ +0.5141706829890608787537f,0.2665198049508035182953f,0.4771588463336229324341f, \ +0.3820844483561813831329f,0.6670796470716595649719f,0.0574905085377395153046f, \ +0.4276479780673980712891f,0.3921637185849249362946f,0.0390139548107981681824f, \ +0.0896534039638936519623f,0.1133126895874738693237f} + +#define ResRF {1.255529833022194452496f,1.0200026717383132712769f,1.3324589639215225211899f, \ +0.8677406156444121831939f,1.5561073447625946020167f,0.9286968935379427136922f, \ +1.1937226600193293624130f,1.067915927099262640709f,1.545517326047555650703f, \ +1.5694716389035829884335f,0.7825751983710025339036f,1.3429338762216549429951f, \ +0.7639188473405255086490f,0.8664584310401818312286f,1.2939802433811951054565f, \ +0.5990898407849659657032f,1.3527841901085291276274f,1.5193587499057941148095f, \ +0.6904789613904125378241f,0.9961995980090498914450f,1.3021994564088539281244f, \ +1.26004387047876331707f,1.3507596621653372714889f,1.4603873397973008430029f, \ +1.4376480261770669955013f,1.2185152537606129818926f,1.4640602217743992063959f, \ +0.894854807527207585238f,0.9591997301055474878240f,1.164221222913740527716f, \ +1.1146461656150485897143f,1.0887716288036126677241f,0.5830870294869971992568f, \ +0.6121373513947664379842f,1.3737517861001466989990f,0.7178494362155037888940f, \ +1.4830224178312794158785f,1.15302764511686950399f,0.7870894488597584004452f, \ +1.5273165827155432694440f,0.9046421279509564428167f,1.1098998065332701390417f, \ +0.8178369263058140603562f,1.0104814656927540994502f,1.2625532917342228156343f, \ +0.6793632590344759192291f,1.1798090506359553142346f,1.2887180301097407308930f, \ +1.0105656841969548054294f,1.0915011675220371856199f,0.7542427310988851774098f, \ +1.0653686177891663611206f,0.8900627912448225709241f,0.7149348217487093704037f, \ +0.7102600249699384526991f,0.6960735527765307129044f,1.088533305867128486710f, \ +1.388790211991853373874f,1.2713337729965381583952f,1.088577004770347134155f, \ +1.0451133763707507462470f,1.028861647762511877f,1.0500108990334240388620f, \ +1.0388362590565514143037f,0.8513413455225736781173f,1.0298997364083655181588f, \ +0.7980374938553029817712f,1.272512010082343492101f,1.5296574807566454268226f, \ +1.0155756589776196996411f,1.3087404816635104243261f,1.4268507232054599143112f, \ +1.3171287563927265296115f,1.0046812403038571925862f,0.9520223764784513376114f, \ +1.3780800950311928865233f,1.2249760089920562755594f,1.1679630143718853219070f, \ +1.2895295822531129825705f,0.7757074400337321540277f,1.3549804577387012383127f, \ +1.2966028029732796778006f,1.1956170559024092980849f,0.7573690728750529510549f, \ +0.9358060876311721232312f,1.2935811029700821084276f,1.4692924940131448785507f, \ +1.403798205397557063989f,1.2904936439816625526333f,1.4833304573509458190728f, \ +1.5316962881883187108656f,0.7896852637031629429387f,1.2487229023268595629048f, \ +1.1608910658948932148604f,1.0024005845134518200013f,1.4005673415801471737296f, \ +0.8902696237675791213206f,1.4033814016250207856729f,1.5063701881984010721993f, \ +1.4235075164410782022628f,1.2154417216544426416647f,0.9067832509325496337382f, \ +0.8451361326845713284328f,0.8105760364528488137736f,0.6677149293012821784643f, \ +0.9376824522142382933865f,0.9834531063046333398958f,0.7435234402945338771929f, \ +1.2692770995801996303243f,0.8506643591613352040071f,1.1209388788239313949902f, \ +0.6577834067257107841797f,1.4685347852910790589220f,1.4304586887418837548580f, \ +1.5216097729687187989356f,0.9508172376200363373755f,1.4718437723337385314437f, \ +1.5147598813826532726523f,0.9228342692416234838149f,1.463425399368290413804f, \ +0.7595378867190821781108f,0.8934128848181713822285f,1.3234788454526924539323f, \ +1.0022503118871550764624f,0.4807627355715887174092f,1.3509123886799738745168f, \ +0.9845326329544197285770f,1.0135326383159133367684f,1.2959003688929946473962f, \ +1.4493071459819437674099f,1.393898839191649585700f,1.2489929355782913856f, \ +1.4543809570962817900863f,0.8282434492927793767691f,0.979974070275603015290f, \ +0.9016529084751209177639f,1.4461450567069793482489f,0.6070295384428338048011f, \ +0.9308147234333767894299f,0.7189471755291521049003f,1.5158092773905904593335f, \ +0.9872214614683698652442f,1.3935021592326080064339f,0.9771853998510096062091f, \ +1.1193192900537867195965f,1.296487096062820532083f,1.4643457982927459148925f, \ +1.5437362050733878238162f,0.6187847061723403818689f,1.3588173690830449569233f, \ +1.1915339871130086191187f,0.6686084978144331003591f,0.9583842322663218560308f, \ +1.0912664509894050013372f,0.7181625782359223331142f,0.7233140240221890282513f, \ +0.5428178535441999796873f,1.0471999339904087822362f,0.8769816861755428405445f, \ +1.5175053601847408035752f,1.1993783088315406182289f,1.2453663926230837954989f, \ +0.4514953581289469219939f,0.8662667007384096118372f,0.4974730247398895799371f, \ +0.9147617192703559885203f,1.1061521220724712666339f,1.1357238908175482094975f, \ +1.5394063571165421677733f,1.2932180862175921554069f,0.6824933434976203638911f, \ +1.43686302401783927429f,1.5148015609296603400935f,0.8950325309450218869145f, \ +1.1033723890979516557564f,1.1179316393641773874634f,1.4660961587943455164407f, \ +1.4605422546022659435749f,0.7934640514556516865952f,1.1421515306768439401708f, \ +1.3722266762337298473540f,1.4378608786974975686235f,0.9484918901540384528204f, \ +1.409977666065525436778f,0.7322918733552260528441f,0.8770810468745882104713f, \ +1.2797762559830598849686f,1.113354965599829160539f,1.1052282890851641283803f, \ +1.4319057784002142685864f,1.3414927111991592489915f,1.150175091750528233447f, \ +0.6311676673228704403940f,0.8947310349200747747744f,0.3427408557056949023334f, \ +1.3585307702603606205827f,1.3703718078359574672476f,1.1242902219788122319954f, \ +1.0158255484348914787773f,1.4642540410581941223711f} + +#define ResIF {-0.89394934684766447219f,-0.7269960621148598978181f,-0.873228865930417708086f, \ +-0.9411580369058477613109f,-0.3635823360806625381692f,-0.9266296361203899545345f, \ +-0.6634195150572302912551f,-0.3497653794429004814326f,-0.0578679396761476172451f, \ +-0.4056499805826500049122f,-0.8741287625997348209594f,-0.3259826010316183575455f, \ +-0.8401934298465025818814f,-0.7488675904074600930826f,-0.5773032354998757220699f, \ +-0.2907264701768227377343f,-0.3549390003452199127132f,-0.0223486092632642734113f, \ +-0.0871612243254889368371f,-0.9176985409654165870563f,-0.6568925683359604361655f, \ +-0.8873647393225528867688f,-0.5376252047526711708159f,-0.8204495329467825781578f, \ +-0.8603334854615410920431f,-0.8439135541376909799283f,-0.7874200016694758996749f, \ +-0.7820668187587638264802f,-0.7702271668977674901058f,-0.6397730584800335185136f, \ +-0.7501646240735952986256f,-0.1050163064317838901296f,-0.5657338500383883861389f, \ +-0.5540440668540072000070f,-0.6903185807895677594814f,-0.6373808782648936466231f, \ +-0.5666907482042378152443f,-0.4219005724672658108609f,-0.3886193868474250856515f, \ +-0.5681250599967884173935f,-1.0378225966102092581167f,-0.9349807842842002836292f, \ +-0.3001473873644374679159f,-0.0086619472523597629970f,-0.3652645919168465704630f, \ +-0.5124455823851000735303f,-0.6518809665531226649193f,-0.5410207144441225857179f, \ +-0.6415487649665978509006f,-0.9086003711350160161331f,-0.6165709440100644034288f, \ +-0.5877295308593559752808f,-0.9208050182698661600966f,-0.0048324714164703318209f, \ +-0.5674999297524496721934f,-0.1029242691026374945107f,-0.5491640506289516832084f, \ +-0.0053183908272447745144f,-0.0180166547854653871785f,-0.8584065847628071788122f, \ +-0.8876649204332747178370f,-0.5558116272697392057367f,-0.3452541277977640987729f, \ +-0.9592322323801306671598f,-0.7535283497855133072463f,-0.7161931212080890896132f, \ +-0.4651350655885536089507f,-0.4452798781006889750067f,-0.8627422069241995616906f, \ +-0.4680940627922438035391f,-0.8526687741435754475106f,-0.2176103156742132949120f, \ +-0.5122870446551318623918f,-0.9165631260315680872708f,-0.4375389900682862820425f, \ +-0.4390596706521518455268f,-0.0877388848995636905226f,-0.6201939230056620067089f, \ +-0.4244909451374946907087f,-0.5765081340409458077190f,-0.1546339715387441970940f, \ +-0.8412371149638495637646f,-0.6152054338449556292190f,-0.7055085618375696032700f, \ +-1.0060843012853948330587f,-0.8572003556218193986993f,-0.7684942188683597796839f, \ +-0.0484327267220403465120f,-0.7613094946055299905296f,-0.7914662562103550458303f, \ +-0.5959529832580606756309f,-0.7135015962341314521566f,-0.7642115760119819745100f, \ +-0.7454508488281011979737f,-0.8264682151161963918895f,-0.5472791982347332551129f, \ +-0.5406217977943502672744f,-0.3063151633155380415552f,-0.7796913689590335705404f, \ +-0.1929181474134157303624f,-0.3430522750956541133682f,-0.4911328183727812768389f, \ +-0.459568916168811014700f,-0.6685113226304408851064f,-0.6625697799772538587604f, \ +-0.5798078060087921148380f,-0.8360708027394485597483f,-0.5502607336825936501512f, \ +-0.1862858035907569154155f,-0.6223700777366898417853f,-0.6503554622010890851058f, \ +-0.6214803763548166770647f,-0.658644048866955045263f,-0.6789244719569749175747f, \ +-0.4960847336430311282918f,-0.7793968717468962026373f,-0.6535755489490102654315f, \ +-0.1013611882342874415119f,-0.4101097128485187148783f,-0.4317360856761057741338f, \ +-0.1858046514491050738016f,-0.5108140928015871828904f,-0.7329583102689192219970f, \ +-0.5572655332532194805140f,-0.2414852833474282756132f,-0.7396265276752447270781f, \ +-0.0588783609986792688673f,-0.2846992688951475170001f,-0.4723177842872927079121f, \ +-0.1037246805315373693324f,-0.1794574611552203768916f,-0.0652808430937008854489f, \ +-0.0773039499491101622652f,-0.7330187724544895422341f,-0.7392992415079050472215f,\ +-0.4133533124652354895368f,-0.5506738102468112794341f,-0.5328074192235940920170f, \ +-1.0038415897821586497685f,-0.7848345170731062525604f,-0.5565211946593774383629f, \ +-0.8394668443345630892694f,-0.3316478088740031915371f,-0.6174546571080481438543f, \ +-0.9359141759808927707454f,-0.3379222154458279558931f,-0.8818086263290126902703f, \ +-0.8163896696778171202524f,-0.4448261056193882900800f,-0.5818126677407939872921f, \ +-0.6497328441864358428148f,-0.4773967451595543809439f,-0.9219910445529124753961f, \ +-0.7866824847635498496601f,-0.5256445971902782288154f,-0.5682526122395586964942f, \ +-0.1069466527081457118964f,-0.7916702346016932789752f,-0.4433240253515259299277f, \ +-0.7277712730096503879196f,-0.508130072062960125301f,-0.1336083189147964367383f,\ +-0.1070544087071799849165f,-0.4749428955148710107537f,-0.4653576600823912667870f, \ +-0.9868535311953914312966f,-0.3500843154048065564155f,-0.9103124176740465811619f, \ +-0.7691355099915161419588f,-0.1137367567447675059666f,-0.3166772504537387900037f, \ +-0.6397920481545310567029f,-0.7602207727265776204817f,-1.0393654015282784985885f, \ +-0.9191682984673771317219f,-0.4105629424946563021948f,-0.7199249389558314282667f, \ +-0.8184995123883722634162f,-0.8831578283865785250484f,-0.9231074927684407294137f, \ +-0.4607753273118053716217f,-0.2299250742000491787298f,-0.9489247717923485758718f, \ +-0.1680978688129062259549f,-0.6812321574150533853853f,-0.3838159223290327215494f, \ +-0.1497969931648169827909f,-0.9112200478501172318246f,-0.4905472078299850102745f, \ +-0.4982920949193456183757f,-0.2703771635876200951643f,-0.501441786599973071681f,\ +-0.6091306446866900925485f,-0.7751834725402599879374f,-0.1702436202720564450974f, \ +-0.4245933471268953929290f,-0.3901971933403464709578f,-0.0432410994613097177108f, \ +-0.1052903868471218307157f,-0.1137136398834104750177f} + + + +#define InRD {0.9181839306838810443878,0.0884356433525681495667,0.4926414485089480876923, \ +0.8834870792925357818604,0.6802056566812098026276,0.0268530314788222312927, \ +0.7203164598904550075531,0.4598560053855180740356,0.4730282914824783802032, \ +0.0919386046007275581360,0.7707213866524398326874,0.2658544182777404785156, \ +0.0074534364975988864899,0.9752697972580790519714,0.7235199823044240474701, \ +0.5191026907414197921753,0.6986512844450771808624,0.0405965903773903846741, \ +0.1825077752582728862762,0.3346745036542415618896,0.7407455802895128726959, \ +0.2895397534593939781189,0.1539079672656953334808,0.2327872756868600845337, \ +0.249757957179099321365,0.1534609617665410041809,0.8524017068557441234589, \ +0.1445394679903984069824,0.5686616473831236362457,0.3302547885105013847351, \ +0.2786427377723157405853,0.8844447638839483261108,0.3282945682294666767120, \ +0.3848125720396637916565,0.9120064224116504192352,0.5585131235420703887939, \ +0.3578817830421030521393,0.3319081580266356468201,0.3623231402598321437836, \ +0.8766287136822938919067,0.0389173370786011219025,0.9202555166557431221008, \ +0.3243460613302886486053,0.8379747122526168823242,0.1961554684676229953766, \ +0.836488234810531139374,0.6787032946012914180756,0.7582549881190061569214, \ +0.1194611941464245319366,0.5478108832612633705139,0.0830844114534556865692, \ +0.1074626557528972625732,0.8102702707983553409576,0.0020722588524222373962, \ +0.8974113441072404384613,0.1269455049186944961548,0.0464085307903587818146, \ +0.9040105016902089118958,0.7867436590604484081268,0.6945183053612709045410, \ +0.3590205931104719638824,0.7864200873300433158875,0.8456682055257260799408, \ +0.4063719864934682846069,0.5153579493053257465363,0.5949906939640641212463, \ +0.5879231388680636882782,0.3445296920835971832275,0.6011764244176447391510, \ +0.0055679446086287498474,0.6450063190422952175140,0.4985997099429368972778, \ +0.2964930129237473011017,0.1925860242918133735657,0.5175180840305984020233, \ +0.3105752766132354736328,0.4384520896710455417633,0.2674221722409129142761, \ +0.2229883982799947261810,0.3114312570542097091675,0.465050995815545320511, \ +0.1054230490699410438538,0.1839383761398494243622,0.3182676993310451507568, \ +0.8334749997593462467194,0.7803529789671301841736,0.1999261802993714809418, \ +0.1607502643018960952759,0.0067916330881416797638,0.3250140668824315071106, \ +0.8473272952251136302948,0.4055975303053855895996,0.1027544015087187290192, \ +0.0367881907150149345398,0.1505991755984723567963,0.0478651728481054306030, \ +0.7984658707864582538605,0.0468508685007691383362,0.8687802697531878948212, \ +0.6377770192921161651611,0.5846501276828348636627,0.3718070005998015403748, \ +0.2409734181128442287445,0.8118529785424470901489,0.9632846158929169178009, \ +0.1664984868839383125305,0.5345636266283690929413,0.6970838457345962524414, \ +0.6823413469828665256500,0.3967337189242243766785,0.2399202152155339717865, \ +0.1569029819220304489136,0.6013874863274395465851,0.6506889471784234046936, \ +0.2553333411924540996552,0.3477048687636852264404,0.2817953140474855899811, \ +0.3077315231785178184509,0.9059348977170884609222,0.5546605382114648818970, \ +0.8953115609474480152130,0.7834150167182087898254,0.1403537872247397899628, \ +0.7755798771977424621582,0.5447361194528639316559,0.0693962080404162406921, \ +0.7488555698655545711517,0.0215708073228597640991,0.5904601295478641986847, \ +0.2870239550247788429260,0.9467164869420230388641,0.8032453395426273345947, \ +0.0766134397126734256744,0.4733499353751540184021,0.1665818593464791774750, \ +0.7712225038558244705200,0.8505714428611099720001,0.3183112638071179389954, \ +0.4035588609986007213593,0.9796781539916992187500,0.4695712872780859470367, \ +0.0718349842354655265808,0.9567936672829091548920,0.7416916470974683761597, \ 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+-0.8283554785369232620340,-0.7385639097367507899250,-0.6511255066138333935655, \ +-0.2976620683491659202780,-0.9257955504050334738508,-0.2890528438121037768660, \ +-0.6604934892243505828446,-0.9834822614680237551354,-0.8377366271338905212573, \ +-0.3818062735980304323036,-0.8101402379111779517018,-0.3767706089539061276028, \ +-0.8471279280465069394523,-0.7100416511121218077207,-0.4827879396812622680990, \ +-0.2907446603933081519244,-0.3540413099584073797210,-0.6691029908570297335402, \ +-0.5779752710357292100340,-0.1293680641651104301637,-0.8672105047323137583248, \ +-0.5445780680276932628203,-0.6098830976698420558435,-0.701796561463252421831, \ +-0.3286839097690721356315,-0.4736684460520745321155,-0.7974492297316398969897, \ +-0.0163420882574338011128,-0.3086940489965586675858,-0.2208475495159677448598, \ +-0.8330345833509705810727,-0.8899247395553587791639,-0.4121122816452804649145, \ +-0.110296470108896760287,-0.4573875737589336853972,-0.5921314598231492976055, \ 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+-0.5739837580671862671267,-0.9770097106672435138819,-0.8021342946497018733254, \ +-1.0021601470891579044320,-0.5801678547205166847078,-0.2254843767325802050827, \ +-0.7149457311090813282917,-0.5814477978791194878738,-0.4632588121589609753137, \ +-0.8972503262100923748790,-0.5936926452425980160754,-0.0604108143246592510511, \ +-0.2083620749723606169201,-0.6092960412140594472774,-0.6787459939901434591292, \ +-0.6970693351773428192431,-0.6155344865687581989988,-0.8847535831035618913987, \ +-0.9045009940161035100203,-0.2228370896879496854126,-0.7435945044006587734131, \ +-0.7797072997435431362945,-0.9858551830709869623348,-0.6231594490146994402835, \ +-0.3087944685075739159608,-0.4935703580252177591348,-0.4570457045425700415286, \ +-0.0002785589239395412880,-0.7550970319205865255441,-0.9107367125371321758820, \ +-0.0805255675456537367563,-0.4411921852011919109593,-0.3509629581295168887500, \ +-0.8834651688371163436031,-0.6829765945613543998149,-0.7587154857028519661100, \ +-0.9508788895131682350481,-0.1722922072289033157411,-0.4769308753189193672561, \ +-0.8698653140140508721601,-0.3524550030910831299735,-0.48064598279368742073, \ +-0.2198520225955942486440,-0.0766272000705114642027,-0.3065575707631173485446, \ +-0.9428944463643879059234,-0.8787732160663290770231,-0.4124717822835545222304, \ +-0.198953189056428669801,-0.8954090767834280706339,-0.6481614554957403351310, \ +-0.0247021173339000768565,-0.2380648741688522473936,-0.8303628800121001241052, \ +-0.4061558941427557689607,-0.8344614350167003369307,-0.8022035151889936877012, \ +-0.9540346088196560714323,-0.9416233317955250425868,-0.0836566823356919425647, \ +-0.0210575991644249005397,-0.0430401703581563405132,-0.8035548300562509460576, \ +-0.5345951582358715592491,-0.4468307121957418859282,-0.2281623925724436396933, \ +-0.9410916791444350337770,-0.8853872018362433093941,-0.3859095350986695427409, \ +-0.7013552814699581805513,-0.0140485558911140305527,-0.4806326207619357471224, \ +-0.0710526121402196841892,-0.8801311527599792183807,-0.8674163434334025701844, \ +-0.2852979580229001999037,-0.3032063540671979806618,-0.8027805094234632399264, \ +-0.0484003958010784038346,-0.3355136589916887235319,-0.9554164532781582730436, \ +-0.7111271555138466426982,-0.4940883791858934337426} + + + + + + +void cacossTest(void){ + int i=0; + float tInR[]=InRF; + float tInI[]=InIF; + float tResR[]=ResRF; + float tResI[]=ResIF; + floatComplex tIn[200]; + floatComplex tRes[200]; + floatComplex out[200]; + + for (i=0;i<200;i++){ + tIn[i]=FloatComplex(tInR[i],tInI[i]); + tRes[i]=FloatComplex(tResR[i],tResI[i]); + out[i]=cacoss(tIn[i]); + } + + + for (i=0;i<200;i++){ + assert ( ( fabs(creals(out[i]) - creals(tRes[i])) / fabs(creals(out[i])) ) < 1e-6); + assert ( ( fabs(cimags(out[i]) - cimags(tRes[i])) / fabs(cimags(out[i])) ) < 1e-6); + } +} + + + +void zacossTest(void){ + int i=0; + double tInR[]=InRD; + double tInI[]=InID; + double tResR[]=ResRD; + double tResI[]=ResID; + doubleComplex tIn[200]; + doubleComplex tRes[200]; + doubleComplex out[200]; + + for (i=0;i<200;i++){ + tIn[i]=DoubleComplex(tInR[i],tInI[i]); + tRes[i]=DoubleComplex(tResR[i],tResI[i]); + out[i]=zacoss(tIn[i]); + } + + + for (i=0;i<200;i++){ + assert ( ( fabs(zreals(out[i]) - zreals(tRes[i])) / fabs(zreals(out[i])) ) < 3e-15); + assert ( ( fabs(zimags(out[i]) - zimags(tRes[i])) / fabs(zimags(out[i])) ) < 3e-15); + } + + out[0]=zacoss(DoubleComplex(0.2,0.1)); + printf ("%1.20f + %1.20f *i\n",zreals(out[0]),zimags(out[0])); + assert ( ( fabs(zreals(out[0]) - 1.3704927556955963652285) / fabs(zreals(out[0])) ) < 3e-16); + assert ( ( fabs(zimags(out[0]) - (- 0.1018639159801242727310)) / fabs(zimags(out[0])) ) < 3e-16); +} + + +void cacosaTest(void){ + int i=0; + float tInR[]=InRF; + float tInI[]=InIF; + float tResR[]=ResRF; + float tResI[]=ResIF; + floatComplex tIn[200]; + floatComplex tRes[200]; + floatComplex out[200]; + + for (i=0;i<200;i++){ + tIn[i]=FloatComplex(tInR[i],tInI[i]); + tRes[i]=FloatComplex(tResR[i],tResI[i]); + } + cacosa(tIn,200,out); + for (i=0;i<200;i++){ + assert ( ( fabs(creals(out[i]) - creals(tRes[i])) / fabs(creals(out[i])) ) < 1e-6); + assert ( ( fabs(cimags(out[i]) - cimags(tRes[i])) / fabs(cimags(out[i])) ) < 1e-6); + } +} + + +void zacosaTest(void){ + int i=0; + double tInR[]=InRD; + double tInI[]=InID; + double tResR[]=ResRD; + double tResI[]=ResID; + doubleComplex tIn[200]; + doubleComplex tRes[200]; + doubleComplex out[200]; + + for (i=0;i<200;i++){ + tIn[i]=DoubleComplex(tInR[i],tInI[i]); + tRes[i]=DoubleComplex(tResR[i],tResI[i]); + } + zacosa(tIn,200,out); + for (i=0;i<200;i++){ + assert ( ( fabs(zreals(out[i]) - zreals(tRes[i])) / fabs(zreals(out[i])) ) < 3e-15); + assert ( ( fabs(zimags(out[i]) - zimags(tRes[i])) / fabs(zimags(out[i])) ) < 3e-15); + } +} + + +int testAcos(void) { + printf("\n>>>> Complex ArcCosine Tests\n"); + cacossTest(); + zacossTest(); + cacosaTest(); + zacosaTest(); + return 0; +} + +int main(void) { + assert(testAcos() == 0); + return 0; +} diff --git a/2.3-1/src/c/elementaryFunctions/acos/testRealsAcos.c b/2.3-1/src/c/elementaryFunctions/acos/testRealsAcos.c new file mode 100644 index 00000000..0609a7c2 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/acos/testRealsAcos.c @@ -0,0 +1,647 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Arnaud TORSET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "testAcos.h" +#include <math.h> +#include <stdio.h> +#include <assert.h> + + +#define InRF {0.2146485899575054645538f,0.0151845822110772132874f,0.0480025182478129863739f, \ +0.2151292376220226287842f,0.3335768491961061954498f,0.4239571234211325645447f, \ +0.8191771185956895351410f,0.1142293009907007217407f,0.2984248069114983081818f, \ +0.7708469005301594734192f,0.9841971280984580516815f,0.4902752116322517395020f, \ +0.1607228242792189121246f,0.4278817875310778617859f,0.3875273256562650203705f, \ +0.9808397348970174789429f,0.9092800100333988666534f,0.482719236053526401520f, \ +0.665830671321600675583f,0.2464372254908084869385f,0.7713316814042627811432f, \ +0.8996570175513625144958f,0.9153267047367990016937f,0.9860265571624040603638f, \ +0.2070462000556290149689f,0.6318158404901623725891f,0.9118843185715377330780f, \ +0.5755609273910522460938f,0.6911411830224096775055f,0.9032438425347208976746f, \ +0.7275989069603383541107f,0.2983345370739698410034f,0.8753590886481106281281f, \ +0.3796929577365517616272f,0.0876038889400660991669f,0.6358761452138423919678f, \ +0.2255521775223314762115f,0.446817158721387386322f,0.3108666068874299526215f, \ +0.5881394986063241958618f,0.7271268484182655811310f,0.3145425738766789436340f, \ +0.1787185999564826488495f,0.4917406365275382995605f,0.7525973492302000522614f, \ +0.1663594795390963554382f,0.5748702525161206722260f,0.3049920704215764999390f, \ +0.6849988629110157489777f,0.0722861671820282936096f,0.2406598175875842571259f, \ +0.8284838385879993438721f,0.3909099684096872806549f,0.8842546856030821800232f, \ +0.4892868152819573879242f,0.8299614358693361282349f,0.1368344766087830066681f, \ +0.8326684581115841865540f,0.2227798062376677989960f,0.5422506183385848999023f, \ +0.0426926412619650363922f,0.0428817747160792350769f,0.0954485400579869747162f, \ +0.5029790829867124557495f,0.6661717449314892292023f,0.6903511593118309974670f, \ +0.1675704787485301494598f,0.2048450224101543426514f,0.8116860599257051944733f, \ +0.0132086118683218955994f,0.8930616951547563076019f,0.5251825544983148574829f, \ +0.1576961842365562915802f,0.9010067256167531013489f,0.7848821463994681835175f, \ +0.4035740271210670471191f,0.7961377524770796298981f,0.2783856792375445365906f, \ +0.6019253223203122615814f,0.7362591978162527084351f,0.2777095218189060688019f, \ +0.0024121040478348731995f,0.4011422689072787761688f,0.9560912884771823883057f, \ +0.2567708329297602176666f,0.4923398261889815330505f,0.2986499867402017116547f, \ +0.2667899150401353836060f,0.3295984459109604358673f,0.8105424838140606880188f, \ +0.2835742044262588024139f,0.0002408921718597412109f,0.1597527512349188327789f, \ +0.4133680192753672599792f,0.9283765270374715328217f,0.0655929129570722579956f, \ +0.4843033556826412677765f,0.2906650463119149208069f,0.3394159595482051372528f, \ +0.9589011035859584808350f,0.0946640432812273502350f,0.7127310922369360923767f, \ +0.1914948052726686000824f,0.3020674530416727066040f,0.3857871112413704395294f, \ +0.303432715125381946564f,0.1901389393024146556854f,0.3798281177878379821777f, \ +0.5674670808948576450348f,0.6582474960014224052429f,0.8053624569438397884369f, \ +0.6435376014560461044312f,0.1315037836320698261261f,0.2259779060259461402893f, \ +0.6206666971556842327118f,0.6504998095333576202393f,0.6684748218394815921783f, \ +0.6728870486840605735779f,0.1410236409865319728851f,0.4075959790498018264771f, \ +0.627867404837161302567f,0.4480062769725918769836f,0.4035936850123107433319f, \ +0.5879594832658767700195f,0.1153195598162710666656f,0.7683646855875849723816f, \ +0.2349277897737920284271f,0.5894475113600492477417f,0.3207207177765667438507f, \ +0.7428904781118035316467f,0.4984040032140910625458f,0.9036596231162548065186f, \ +0.6709216744638979434967f,0.8537342092022299766541f,0.1756483591161668300629f, \ +0.7642531786113977432251f,0.3008039263077080249786f,0.5137639017775654792786f, \ +0.6256901505403220653534f,0.5433056429028511047363f,0.9364583813585340976715f, \ +0.9189820392057299613953f,0.8656015782617032527924f,0.8644737657159566879272f, \ +0.7842234452255070209503f,0.9146144324913620948792f,0.2163717742078006267548f, \ +0.9016996361315250396729f,0.5193324820138514041901f,0.0936209624633193016052f, \ +0.1577651998959481716156f,0.8322136122733354568481f,0.9679206502623856067657f, \ +0.8463781969621777534485f,0.7359144198708236217499f,0.9125841259956359863281f, \ +0.5761411138810217380524f,0.5802838830277323722839f,0.3673972501419484615326f, \ +0.1465643625706434249878f,0.2601406280882656574249f,0.8280333140864968299866f, \ +0.3835482816211879253387f,0.0134858153760433197021f,0.7306445003487169742584f, \ +0.4633175721392035484314f,0.1587547785602509975433f,0.2259487155824899673462f, \ +0.8859009263105690479279f,0.7426936449483036994934f,0.1664869519881904125214f, \ +0.9855593368411064147949f,0.3667347007431089878082f,0.3923764182254672050476f, \ +0.8068126081489026546478f,0.7054641749709844589233f,0.8674603034742176532745f, \ +0.4587025428190827369690f,0.34914617193862795830f,0.6684310026466846466064f, \ +0.2964043603278696537018f,0.1410161769017577171326f,0.8339820853434503078461f, \ +0.5892267990857362747192f,0.3797874790616333484650f,0.3257266031578183174133f, \ +0.277362580876797437668f,0.5500425547361373901367f,0.8027154603041708469391f, \ +0.0402877209708094596863f,0.0218298300169408321381f,0.2777149509638547897339f, \ +0.4810298834927380084991f,0.5458494136109948158264f,0.5776124666444957256317f, \ +0.2314949147403240203857f,0.0577680678106844425201f,0.2873307904228568077087f, \ +0.7977964854799211025238f,0.4701130483299493789673f} + + +#define InIF {0.0394321014173328876495f,0.3370208526030182838440f,0.6783407176844775676727f, \ +0.2560503073036670684814f,0.5241241441108286380768f,0.9488922869786620140076f, \ +0.3087073317728936672211f,0.7950635720044374465942f,0.9224105221219360828400f, \ +0.4595228182151913642883f,0.7807972389273345470428f,0.226513788104057312012f, \ +0.9408814110793173313141f,0.6131632206961512565613f,0.4430119856260716915131f, \ +0.2909095119684934616089f,0.8606127654202282428741f,0.8565102526918053627014f, \ +0.9051895807497203350067f,0.6799235455691814422607f,0.5336262793280184268951f, \ +0.7887798985466361045837f,0.7137753940187394618988f,0.4034583661705255508423f, \ +0.1977087226696312427521f,0.1879524858668446540833f,0.7047274294309318065643f, \ +0.4047584310173988342285f,0.2033406519331037998199f,0.8319396777078509330750f, \ +0.8779059736989438533783f,0.3923193570226430892944f,0.2464844961650669574738f, \ +0.8334233397617936134338f,0.1366976196877658367157f,0.3573439754545688629150f, \ +0.2009820179082453250885f,0.7071162825450301170349f,0.7366236648522317409515f, \ +0.7454952616244554519653f,0.1443111491389572620392f,0.8881948785856366157532f, \ +0.7866828846745193004608f,0.751696139574050903f,0.6704522022046148777008f, \ +0.9206535546109080314636f,0.6471786811016499996185f,0.7067261617630720138550f, \ +0.0836134557612240314484f,0.0343311587348580360413f,0.5677806059829890727997f, \ +0.0243650637567043304443f,0.5665661157108843326569f,0.3293592026457190513611f, \ +0.4095702595077455043793f,0.6778331939131021499634f,0.9173386511392891407013f, \ +0.2867819787934422492981f,0.7948215636424720287323f,0.6742788180708885192871f, \ +0.9480205052532255649567f,0.8240985525771975517273f,0.5282654105685651302338f, \ +0.4960622992366552352905f,0.1394251813180744647980f,0.6144766295328736305237f, \ +0.6335886861197650432587f,0.9775871522724628448486f,0.6453627035953104496002f, \ +0.8883882975205779075623f,0.8489176682196557521820f,0.5864279735833406448364f, \ +0.240271453280001878738f,0.4364176439121365547180f,0.925035800319164991379f, \ +0.5775052458047866821289f,0.3039593794383108615875f,0.0319902477785944938660f, \ +0.5700858398340642452240f,0.9890570174902677536011f,0.4372045849449932575226f, \ +0.9927745470777153968811f,0.3845063815824687480927f,0.9491574577987194061279f, \ +0.8019652874208986759186f,0.0995050808414816856384f,0.6299527562223374843597f, \ +0.2615322861820459365845f,0.7799491551704704761505f,0.5909776063635945320129f, \ +0.1759523036889731884003f,0.7394210770726203918457f,0.0432920181192457675934f, \ +0.4539660913869738578796f,0.4680440216325223445892f,0.2562364395707845687866f, \ +0.6310959537513554096222f,0.7268115812912583351135f,0.8611525888554751873016f, \ +0.9817700721323490142822f,0.125576748047024011612f,0.0354329412803053855896f, \ +0.1619467637501657009125f,0.7726956922560930252075f,0.5215707314200699329376f, \ +0.0805094735696911811829f,0.7239321577362716197968f,0.1861188411712646484375f, \ +0.8831509896554052829742f,0.2945854095742106437683f,0.9390283836983144283295f, \ +0.0849235635250806808472f,0.3811029498465359210968f,0.3878462770953774452209f, \ +0.4693805794231593608856f,0.3036659620702266693115f,0.8050093413330614566803f, \ +0.0013171425089240074158f,0.0631553060375154018402f,0.3437646273523569107056f, \ +0.1436945316381752490997f,0.1862327279523015022278f,0.2980708214454352855682f, \ +0.5667379423975944519043f,0.3277782374061644077301f,0.9283294035121798515320f, \ +0.0964117287658154964447f,0.8542382624000310897827f,0.7280886103399097919464f, \ +0.4358090544119477272034f,0.3552779997698962688446f,0.2036329694092273712158f, \ +0.5036846981383860111237f,0.4097248231992125511169f,0.5358183733187615871429f, \ +0.2278824020177125930786f,0.3932382804341614246368f,0.0155387269333004951477f, \ +0.5551981288008391857147f,0.0284646600484848022461f,0.0435250797308981418610f, \ +0.7746011493727564811707f,0.8250512345694005489349f,0.4100972842425107955933f, \ +0.4687753473408520221710f,0.0943022081628441810608f,0.7801668713800609111786f, \ +0.9060058109462261199951f,0.7346338243223726749420f,0.6556449970230460166931f, \ +0.7411603308282792568207f,0.5824892017990350723267f,0.4604790774174034595490f, \ +0.3769907029345631599426f,0.4548782887868583202362f,0.0915321484208106994629f, \ +0.2338522099889814853668f,0.1727255983278155326843f,0.1562884538434445858002f, \ +0.9402142520993947982788f,0.5307449479587376117706f,0.2255999082699418067932f, \ +0.495603590738028287888f,0.4456660784780979156494f,0.2354971007443964481354f, \ +0.9914885526522994041443f,0.1743899188004434108734f,0.3443220872431993484497f, \ +0.354053397197276353836f,0.6553237633779644966125f,0.6344098853878676891327f, \ +0.5242204368114471435547f,0.0143296965397894382477f,0.2569495765492320060730f, \ +0.6429493143223226070404f,0.8490996640175580978394f,0.3474385743029415607452f, \ +0.2056481996551156044006f,0.1183789293281733989716f,0.5430422388017177581787f, \ +0.3435242832638323307037f,0.4020882537588477134705f,0.0397002524696290493011f, \ +0.1044149938970804214478f,0.2759570893831551074982f,0.6864448906853795051575f, \ +0.7838258775882422924042f,0.217856429517269134521f,0.7876369827426970005035f, \ +0.8314417852088809013367f,0.7343441187404096126556f,0.6330608930438756942749f, \ +0.2331567634828388690948f,0.79906500224024057388f,0.5055180336348712444305f, \ +0.4791096337139606475830f,0.3705745027400553226471f,0.4796987390145659446716f, \ +0.6252688220702111721039f,0.9830987323075532913208f} + + +#define ResRF {1.3544643076000049131125f,1.555611161001190234643f,1.5227753545043396510295f, \ +1.3539721626852589953f,1.2307011179667750599975f,1.132986233674521114878f, \ +0.6108215211136103217626f,1.4563171387342028761935f,1.26775449603837397916f, \ +0.6906267709340139226981f,0.1780149993077420056409f,1.0583908356731808186879f, \ +1.4093733723685308856233f,1.1286484374252463425137f,1.1728485230904668323859f, \ +0.1960702202025065843394f,0.4292455238079518897720f,1.0670393141498673017509f, \ +0.8421897142243505163250f,1.3217939513349721281088f,0.6898654070878095234676f, \ +0.4518130294310849226491f,0.4144778912738525944448f,0.1673685006122558327490f, \ +1.3622415598200958708475f,0.886902683876586550582f,0.4229445354426950576254f, \ +0.9575064117084541859271f,0.8077294519947597617460f,0.4435267853313298869189f, \ +0.7559810258252398496026f,1.2678490741689776299950f,0.5046182820452449480086f, \ +1.1813319501282872892034f,1.4830799972889596727299f,0.8816531266139947531357f, \ +1.3432865448676185593513f,1.107591898499146854107f,1.2546916476714633503775f, \ +0.9420398538652174913466f,0.7566689041304636154095f,1.2508215962260114118010f, \ +1.3911123978681665391832f,1.0567086722755880678903f,0.7187986332601904448936f, \ +1.4036597839870441628563f,0.9583507556750017197800f,1.260866223812947772842f, \ +0.8161941887163420839002f,1.49844705842773628923f,1.327750735837211149004f, \ +0.5944014578559909667277f,1.1691763062196611766552f,0.4859006803898779369710f, \ +1.0595245187218389482098f,0.5917577795331790957434f,1.4335312043991983443902f, \ +0.5868872597311183270108f,1.3461313138241890463576f,0.9976829092544128307907f, \ +1.5280907058444337387471f,1.5279013990243792697754f,1.4752022598870020431150f, \ +1.0437541728877690605515f,0.8417324807407642328627f,0.8088220073687144573427f, \ +1.4024315436728629347130f,1.3644909573371579725176f,0.6237633497149321915032f, \ +1.5575873308176619858045f,0.4666916888200717261626f,1.0178667076465526264428f, \ +1.4124391178254291911998f,0.4487116894768009012218f,0.6682904180063654608901f, \ +1.1553765634714785459636f,0.6499108421939678859047f,1.2886833903313061888696f, \ +0.9248863868474237470707f,0.7432707317726728879492f,1.2893873050266133617470f, \ +1.5683842204080198357019f,1.1580328237052455175871f,0.297435226780083439291f, \ +1.3111168037999454405451f,1.0560204013836156367034f,1.267518556897496040392f, \ +1.300735649674872540515f,1.2349181037163743379637f,0.6257185580692986581752f, \ +1.2832770556580765930477f,1.5705554346207071247932f,1.4103561444004117930717f, \ +1.1446465290134530956578f,0.3807759856686916410951f,1.5051562877181774435797f, \ +1.065229590564843231704f,1.2758745069326440368940f,1.2245003981556386030149f, \ +0.2876926938040382797368f,1.475990325123716528921f,0.7774122140225130372926f, \ +1.3781114155823581679527f,1.263935652317189628491f,1.1747355003768786829710f, \ +1.2625031633451624379916f,1.379492661159100963530f,1.1811858445520480032087f, \ +0.9673699297198078417281f,0.8523079182101511719338f,0.6345096623572386019f, \ +0.8716851786364174792254f,1.438910541717890456681f,1.3428495335058063808731f, \ +0.9012036112561767620122f,0.8625540038617608429306f,0.8386401358861846899728f, \ +0.8326916717391449340724f,1.4293010137458141972644f,1.1509764487838076707504f, \ +0.8919861503219816967203f,1.1062622764047711498847f,1.1553550780909149775511f, \ +0.9422624178970196995309f,1.4552196270328432436969f,0.6945142387614549051023f, \ +1.33365204874339027263f,0.940421593525194388086f,1.244306023462703247873f, \ +0.7334183218187529940124f,1.049039471207045437495f,0.4425568980368907445744f, \ +0.8353452979806201827984f,0.5476812518090538040028f,1.3942319989111211508970f, \ +0.7009138051156860171886f,1.2652608172154014010147f,1.0312300888962582234853f, \ +0.8947803803621411367075f,0.9964267421930456114509f,0.3584025169927071985398f, \ +0.4053053537674792816681f,0.52444580540694141213f,0.5266937610818180903749f, \ +0.6693527332761076698020f,0.4162430398171838019650f,1.3526996566064570792776f, \ +0.4471117451927261177147f,1.0247266752134434053545f,1.4770380592585463652711f, \ +1.4123692272878969333760f,0.5877081129044480212187f,0.2539777406414896465670f, \ +0.5616486929670342354015f,0.7437800898892800161022f,0.4212363058629264855881f, \ +0.9567967508657543307393f,0.9517191061460341661160f,1.1945873210943909192849f, \ +1.4237020985347941248733f,1.307628484293123394266f,0.5952054691773595029858f, \ +1.1771609573131449621997f,1.5573101026141118463642f,0.7515308864404272037874f, \ +1.08906115052591578873f,1.4113670182151965004635f,1.3428794989819419214427f, \ +0.4823637262878405218558f,0.7337123123270111735295f,1.403530508718869640461f, \ +0.1701502458411716656173f,1.1952995905474013138559f,1.1675825417504139824842f, \ +0.632059235534878305351f,0.7877184695580223827704f,0.5207218041934291719031f, \ +1.0942618099823884225685f,1.2141365475300021081750f,0.8386990520942673166260f, \ +1.2698707048803585806240f,1.4293085531739009308438f,0.5845108665288674121285f, \ +0.9406947904242937141817f,1.1812297752030191944073f,1.2390161854573771282872f, \ +1.2897484327948283144849f,0.9883811343629644863285f,0.6389615878853852626307f, \ +1.5304976993530934326060f,1.5489647626028015814370f,1.2893816535780269205702f, \ +1.0689672707047077615528f,0.9933937851799321538948f,0.9549954566636918995570f, \ +1.337182267875798302725f,1.5129960805231705833762f,1.2793573801230322395384f, \ +0.6471646932978184496577f,1.0813774684738581832733f} + +#define ResIF {1.5313539994534084431876f,1.2270454945240594213374f,0.8252943559980340237914f, \ +1.3118622512767883492302f,1.0191099717030900340120f,0.3210890168818836265530f, \ +1.2569626427487261555171f,0.6516839411893488032135f,0.3965201754844740467121f, \ +1.0933384694570118522705f,0.6748555027471666578620f,1.3422993862285261812417f, \ +0.3455732962500616678447f,0.9107376302950138668990f,1.1118407738194451273017f, \ +1.2756190002512473036234f,0.534324627989826939078f,0.5423264441023638582351f, \ +0.4389707532009931023609f,0.8231379603724421345490f,1.0079137337479666669537f, \ +0.6619748165277959950359f,0.7759222830602500176056f,1.1555029726809751267069f, \ +1.3717763753859233410992f,1.3817192645680580476153f,0.7887574388774107880806f, \ +1.154081687844786152652f,1.3660276734930973940862f,0.5882019906981408308155f, \ +0.4993250010048232434556f,1.1676445771431656073247f,1.3217451760779403979740f, \ +0.5855226957110959418173f,1.4336693595120120203745f,1.205373778014949381898f, \ +1.3684360354595728193061f,0.7853847263571438475083f,0.7427319788503217168341f, \ +0.7295187281370371090716f,1.425979527467823082532f,0.4773949303589768988765f, \ +0.6653789652250786668120f,0.7201661840055592067600f,0.8359782312775623225320f, \ +0.4010449856231582121957f,0.8669186056114237537429f,0.7859362957809750138694f, \ +1.4870851367060453629421f,1.536458420533861612967f,0.9669891090554120216538f, \ +1.5464288516482158630794f,0.9684637239770992334087f,1.2351714956359907127137f, \ +1.1488133772379154340371f,0.8259848817840680368363f,0.4094531852851721054343f, \ +1.2799303040161731370716f,0.6520828442366262134300f,0.8308086408007220313721f, \ +0.3238399424616983379721f,0.6021873821209878796523f,1.0142399690964163383455f, \ +1.0517384795139694819710f,1.4309154243829336206062f,0.9090739203715231253611f, \ +0.8846133529122768290875f,0.2121182423802339123142f,0.8692983189363326923527f, \ +0.47697379514371801568f,0.5568622476164218904060f,0.9441544643774535394698f, \ +1.3281508401476103120586f,1.1191830432760909719292f,0.3896665024665909582424f, \ +0.9551267985697193818595f,1.2619503910172775729137f,1.5388006201603028344493f, \ +0.9641859946151247751089f,0.1480742995944135109720f,1.1183082300559199495638f, \ +0.1202844206176664348940f,1.1761232908094509941321f,0.3202477413820724594373f, \ +0.6402184399260194558323f,1.4711263056909940072359f,0.8893039482321445365898f, \ +1.3061869235485943363528f,0.6762117558368399006241f,0.9385261464846976764420f, \ +1.3939232457675478915604f,0.7385862765729950263349f,1.5274907742828045531525f, \ +1.0995848226997599894617f,1.0837202329455530858127f,1.3116696951046082908476f, \ +0.8878310767922412694020f,0.7571280287683522791653f,0.5332636611081145172619f, \ +0.1912359123928325799202f,1.44488716691460328256f,1.5353559670190242147925f, \ +1.4081331860416281820392f,0.6877194039437647399282f,1.02210543863474323523f, \ +1.4901996245029442977881f,0.7613110787878502039305f,1.3835858489414398775352f, \ +0.4882587676373527640905f,1.2717746792548134671108f,0.3510027969902725919482f, \ +1.48577035226708975557f,1.1798073422108839025668f,1.1725025103978652385450f, \ +1.082207178445642403730f,1.262258365804196147408f,0.6351051130420296564338f, \ +1.5694791839051283055539f,1.5075989617580312085465f,1.2198734065895773248656f, \ +1.4266026395050115383f,1.3834699355835038403484f,1.2681253600974256023903f, \ +0.9682551856135412915449f,1.2368453959617209392263f,0.3809027641084558046813f, \ +1.4742346083993373984100f,0.5467124691036475692130f,0.7552669049014355540095f, \ +1.1198593352029904135492f,1.2075848742491721576897f,1.3657291093636882983731f, \ +1.0429375766976551886955f,1.1486439448135470353662f,1.0053196235121615309538f, \ +1.3408940198345395966584f,1.166645348645906299367f,1.555256974484105159107f, \ +0.9821951633092294020599f,1.5423278214913895833860f,1.5272574927805724342988f, \ +0.6847121192620346796787f,0.6005034615094222427700f,1.1482356007343721415737f, \ +1.0828924838534597085982f,1.4763537862006439471685f,0.6758638036045827579557f, \ +0.4370463027476746975530f,0.7456695165395208491077f,0.8557598004935614843802f, \ +0.7359992024987982439654f,0.9490086268240732758628f,1.0922615019568577832132f, \ +1.184251206507022535774f,1.098560786595480287531f,1.4791358826505083268188f, \ +1.334758450002002438950f,1.3972001359840415801727f,1.4138645236300337870716f, \ +0.3475374929910621246698f,1.0113170412320249269555f,1.3432375513394290145186f, \ +1.0522666912154046148231f,1.1088781475531621634190f,1.3330663041014356728908f, \ +0.1305645353871486558095f,1.3955101678176036195111f,1.2192797033375830650925f, \ +1.2088946193116594240990f,0.8561851579342378837367f,0.8835514575659523250906f, \ +1.0189969006408940987995f,1.5564661397993202474055f,1.3109318548790835912143f, \ +0.8724535168872261658990f,0.5565178057806303701938f,1.215958206971465838109f, \ +1.3636703086937589368688f,1.4521391539839998419126f,0.9967404603545287899991f, \ +1.2201293368773795666726f,1.1569998731124000457271f,1.5310856382606727876805f, \ +1.4661906653829819280332f,1.2912110119575965772043f,0.8142075135673421115712f, \ +0.6699932176804166417128f,1.3511787210901111677686f,0.6638319846196626405899f, \ +0.5890987081162550875746f,0.7460964201464012068854f,0.8852953565042832595466f, \ +1.3354736682149619397819f,0.6450578234482783335224f,1.0408140682934756693356f, \ +1.0711562631188329408616f,1.1911688411902121575991f,1.0704849901046198379362f, \ +0.8953203785098390321551f,0.1841145960893279809323f} + + +#define InRD {0.3596746218390762805939,0.9327730434015393257141,0.6520409691147506237030, \ +0.4466360807418823242188,0.5597501345910131931305,0.1586764482781291007996, \ +0.1349689974449574947357,0.5309285502880811691284,0.7984495465643703937531, \ +0.5877699116244912147522,0.5329149584285914897919,0.3033532761037349700928, \ +0.0826407433487474918365,0.2014105310663580894470,0.2214868194423615932465, \ +0.5626921299844980239868,0.594995748717337846756,0.3364775599911808967590, \ +0.9449067446403205394745,0.2256392762064933776855,0.0615444355644285678864, \ +0.3346643997356295585632,0.9560257433913648128510,0.1118353512138128280640, \ +0.875087611842900514603,0.9554424667730927467346,0.2715726937167346477509, \ +0.6644485183060169219971,0.0682194815017282962799,0.7714469349011778831482, \ +0.8863877407275140285492,0.5750523973256349563599,0.7297094804234802722931, \ +0.2650343524292111396790,0.2903900700621306896210,0.7815508693456649780273, \ +0.9579934873618185520172,0.8447621343657374382019,0.1320300563238561153412, \ +0.8078997563570737838745,0.9455244098789989948273,0.500539929606020450592, \ +0.3719757865183055400848,0.9143753759562969207764,0.2877321452833712100983, \ +0.3162028631195425987244,0.7707839584909379482269,0.0271399710327386856079, \ +0.1103429165668785572052,0.5582566531375050544739,0.0543051543645560741425, \ +0.9158540144562721252441,0.1088079833425581455231,0.5595446033403277397156, \ +0.6005734889768064022064,0.5880853887647390365601,0.0935917277820408344269, \ +0.1165864700451493263245,0.9919306333176791667938,0.3692654408514499664307, \ +0.1350691155530512332916,0.6193392043933272361755,0.2761342129670083522797, \ +0.6369419116526842117310,0.9017825317569077014923,0.6321295695379376411438, \ +0.2802005815319716930389,0.6780787408351898193359,0.2858079918660223484039, \ +0.1445086328312754631042,0.8207319690845906734467,0.6381527464836835861206, \ +0.9089807276614010334015,0.2107781330123543739319,0.1544780055992305278778, \ +0.0307971797883510589600,0.6037301481701433658600,0.1969387223944067955017, \ +0.5128816193901002407074,0.7767421547323465347290,0.4622741756029427051544, \ +0.3538100840523838996887,0.0643593105487525463104,0.2408019527792930603027, \ +0.54792295629158616066,0.9350729240104556083679,0.148065799381583929062, \ +0.2356592025607824325562,0.8622419466264545917511,0.5789828384295105934143, \ +0.1228930498473346233368,0.4611959345638751983643,0.6618243739940226078033, \ +0.1725060557946562767029,0.6754536679945886135101,0.3481215108186006546021, \ +0.7184230727143585681915,0.9166270541027188301086,0.9307986753992736339569, \ +0.7746474295854568481445,0.6161916949786245822906,0.8115780530497431755066, \ +0.2096196576021611690521,0.6249590050429105758667,0.6797852967865765094757, \ +0.2807403812184929847717,0.7756852875463664531708,0.6582339219748973846436, \ +0.6270702988840639591217,0.1519677182659506797791,0.4172622240148484706879, \ +0.6569576654583215713501,0.5401938227005302906036,0.7150812121108174324036, \ +0.2062703850679099559784,0.3232858255505561828613,0.2487624012865126132965, \ +0.0742864711210131645203,0.2789225964806973934174,0.8922032769769430160522, \ +0.7188800652511417865753,0.5142624313011765480042,0.9815986151807010173798, \ +0.9302302338182926177979,0.5417958036996424198151,0.0986720984801650047302, \ +0.2257035276852548122406,0.2884251791983842849731,0.1159104001708328723907, \ +0.2198451654985547065735,0.3952605235390365123749,0.6784346699714660644531, \ +0.6158926435746252536774,0.3183825043961405754089,0.6509880437515676021576, \ +0.8403400164097547531128,0.3426549141295254230499,0.4914325335994362831116, \ +0.9746113042347133159637,0.7710508368909358978271,0.5479381443001329898834, \ +0.2083894601091742515564,0.7971581942401826381683,0.98199548758566379547, \ +0.327256154734641313553,0.8527633966878056526184,0.5549895497970283031464, \ +0.2548583671450614929199,0.6749493652023375034332,0.3089723540470004081726, \ +0.0173138021491467952728,0.8641140963882207870483,0.2950978805311024188995, \ +0.3128061080351471900940,0.7289360011927783489227,0.7351085729897022247314, \ +0.2620439515449106693268,0.7843119418248534202576,0.4119912139140069484711, \ +0.5064369011670351028442,0.1242738110013306140900,0.8618522631004452705383, \ +0.6704122978262603282928,0.9653681963682174682617,0.5454088845290243625641, \ +0.8560840962454676628113,0.8408820494078099727631,0.8250672649592161178589, \ +0.0760563765652477741241,0.8426104495301842689514,0.3340197275392711162567, \ +0.3123631589114665985107,0.1502692312933504581451,0.1120535572990775108337, \ +0.3095519519411027431488,0.5348146054893732070923,0.9003654685802757740021, \ +0.1962999971583485603333,0.0292179766111075878143,0.0958223119378089904785, \ +0.8838568949140608310699,0.6896676821634173393250,0.7311593382619321346283, \ +0.926538145169615745544,0.3162371893413364887238,0.5837447280064225196838, \ +0.3695438797585666179657,0.8033211864531040191650,0.9033793644048273563385, \ +0.3346501952037215232849,0.0631741485558450222015,0.5194906610995531082153, \ +0.8672926020808517932892,0.3814667062833905220032,0.5968301701359450817108, \ +0.1801257431507110595703,0.2589884647168219089508,0.3345949379727244377136, \ +0.8190965964458882808685,0.5886622350662946701050} + + +#define InID {0.9229331132955849170685,0.3624883117154240608215,0.4197423788718879222870, \ +0.1054803654551506042480,0.9433643990196287631989,0.2429116321727633476257, \ +0.5323819159530103206635,0.6621514465659856796265,0.3330680062063038349152, \ +0.5687411213293671607971,0.8901842678897082805634,0.3511209674179553985596, \ +0.0435834513045847415924,0.3901510154828429222107,0.6022473922930657863617, \ +0.1305641103535890579224,0.7857504826970398426056,0.3076619254425168037415, \ +0.1008732873015105724335,0.4706113189458847045898,0.23320029163733124733, \ +0.7386203287169337272644,0.0550201400183141231537,0.9430699776858091354370, \ +0.3567060981877148151398,0.8223499367013573646545,0.7739888499490916728973, \ +0.6216929666697978973389,0.9831431121565401554108,0.1827249368652701377869, \ +0.9450939274393022060394,0.2617440912872552871704,0.1728078690357506275177, \ +0.2669151099398732185364,0.0490687671117484569550,0.7276103869080543518066, \ +0.5088469409383833408356,0.4790528221055865287781,0.2969552963040769100189, \ +0.6372112985700368881226,0.8925450225360691547394,0.8275718921795487403870, \ +0.4322279985062777996063,0.6919547356665134429932,0.9382223919965326786041, \ +0.3049683338031172752380,0.2419023117981851100922,0.6609900016337633132935, \ +0.5614917469210922718048,0.7187329726293683052063,0.1203774022869765758514, \ +0.4885075986385345458984,0.8546244152821600437164,0.1922059385105967521667, \ +0.5297633125446736812592,0.4928359072655439376831,0.8427759413607418537140, \ +0.0541030326858162879944,0.7004424850456416606903,0.1260847412049770355225, \ +0.214821046683937311172,0.3354639699682593345642,0.4156156606040894985199, \ +0.2630857769399881362915,0.6225479659624397754669,0.5927724959328770637512, \ +0.2235821518115699291229,0.4883798584342002868652,0.6419621580280363559723, \ +0.2759983791038393974304,0.9215044914744794368744,0.3500011768192052841187, \ +0.9904493917711079120636,0.3603112781420350074768,0.6544074560515582561493, \ +0.0488083250820636749268,0.0935482070781290531158,0.4602164840325713157654, \ +0.4731614640913903713226,0.5321122277528047561646,0.5950817507691681385040, \ +0.1448625372722744941711,0.6952003496699035167694,0.4603509455919265747070, \ +0.9043989875353872776031,0.6732707200571894645691,0.9117235108278691768646, \ +0.0155613552778959274292,0.3744752858765423297882,0.8682364234700798988342, \ +0.9851324330084025859833,0.0203977040946483612061,0.2046223790384829044342, \ +0.3476523896679282188416,0.8804515874944627285004,0.3364470396190881729126, \ +0.6615577009506523609161,0.8320038290694355964661,0.6744837048463523387909, \ +0.0105915144085884094238,0.7125830971635878086090,0.7467854125425219535828, \ +0.5864494233392179012299,0.1381675656884908676147,0.6646229107864201068878, \ +0.8385901385918259620667,0.3738613124005496501923,0.9116719700396060943604, \ +0.9028714434243738651276,0.0236200755462050437927,0.9373822710476815700531, \ +0.8237647730857133865356,0.3227997911162674427032,0.1873689787462353706360, \ +0.4784183013252913951874,0.4933190941810607910156,0.5492720552720129489899, \ +0.1542267827317118644714,0.0531956567429006099701,0.0832678060978651046753, \ +0.5365209286101162433624,0.5457559684291481971741,0.8670723657123744487762, \ +0.7789970897138118743896,0.6427326560951769351959,0.7463898053392767906189, \ +0.1528341299854218959808,0.2960368636995553970337,0.772991370875388383865, \ +0.6953024687245488166809,0.9767245980910956859589,0.8857980892062187194824, \ +0.6843328052200376987457,0.7232010317966341972351,0.8159600137732923030853, \ +0.8081069495528936386108,0.0466573764570057392120,0.1527893329039216041565, \ +0.2514782394282519817352,0.7392859049141407012939,0.3532526479102671146393, \ +0.8816537177190184593201,0.6196721545420587062836,0.0845316220074892044067, \ +0.2746751648373901844025,0.6663206564262509346008,0.9668574291281402111053, \ +0.6633397787809371948242,0.5497416653670370578766,0.32623623590916395187, \ +0.1502246721647679805756,0.7367267441004514694214,0.0073796664364635944366, \ +0.5864175269380211830139,0.4290259550325572490692,0.8449981324374675750732, \ +0.8130874247290194034576,0.7775258263573050498962,0.3897457099519670009613, \ +0.4248142335563898086548,0.533753272611647844315,0.1121117742732167243958, \ +0.5490060034207999706268,0.6743023172020912170410,0.1145843290723860263824, \ +0.7557823462411761283875,0.4779561846517026424408,0.6349658127874135971069, \ +0.3618945856578648090363,0.4120397204533219337463,0.7918969090096652507782, \ +0.9591403640806674957275,0.0255023674108088016510,0.6395420199260115623474, \ +0.8488885364495217800140,0.3317467588931322097778,0.0744871688075363636017, \ +0.6205359296873211860657,0.5010939049534499645233,0.0150907337665557861328, \ +0.2600558646954596042633,0.5992111889645457267761,0.7426054789684712886810, \ +0.48545965366065502167,0.5592682962305843830109,0.7087269583716988563538, \ +0.5975068728439509868622,0.6302660666406154632568,0.5933722318150103092194, \ +0.4056600620970129966736,0.0919187492690980434418,0.4744881335645914077759, \ +0.6144977030344307422638,0.2306251050904393196106,0.6537790927104651927948, \ +0.9051569327712059020996,0.1544607155956327915192,0.1138164652511477470398, \ +0.7841078578494489192963,0.3626406397670507431030} + + +#define ResRD {1.2028771717397248597337,0.3687655164040291033700,0.8605230767316590645422, \ +1.1077942947750605284796,0.9767120864552386594326,1.4114463541323842843411, \ +1.4354141532486464072349,1.0111003946929904007135,0.6460807643012056455945, \ +0.942496758054768402069,1.0087545936051280914825,1.262586531900748765267, \ +1.4880612274536648698131,1.3679985766801496804845,1.3474574320651662162618, \ +0.9731575131888534624380,0.9335359675538464907518,1.2276224867355149950043, \ +0.3334867299422681341525,1.3431971414533188102780,1.5092129727018919194137, \ +1.2295472552241557551156,0.2976587959346745915212,1.4587265301529550587389, \ +0.5051795104327043706149,0.2996411780017103065887,1.2957695643431932364109, \ +0.8440406830828603990113,1.50252381975481164034,0.6896842944166139410811, \ +0.4813132194495245430588,0.9581281339053301371322,0.7528993595207621458698, \ +1.3025567781811444589835,1.2761618784887454047805,0.6736483673578720354769, \ +0.2908743485069323897463,0.5646758064966191925649,1.438379639941827381477, \ +0.6302168108311377858755,0.3315946371104716572376,1.0465739819013770706135, \ +1.1896596872617526408078,0.4168338903307298726197,1.2789383292392024760176, \ +1.2490720222420119700502,0.6907255719643182745315,1.5436530228729308245050, \ +1.4602282599819302877364,0.9785132735167261230913,1.5164644455125539934670, \ +0.4131665402940313813751,1.4617724919866201815921,0.976960093696471187918, \ +0.9265781639066993369269,0.9421067569746168768319,1.4770674228670064298541, \ +1.4539441129892149984215,0.1271238965902136142105,1.1925778534654034590545, \ +1.4353131098866320769503,0.9028955486769573157702,1.291026727930056683391, \ +0.8802714396298314536438,0.4469199799286652230457,0.8864978673073259374249, \ +1.2867932721224226710888,0.8256508509224979031060,1.280946841714904582687, \ +1.4257799518141858197140,0.6081052805119846471626,0.8786997656642617782197, \ +0.4299640690276578247619,1.358425418880489399243,1.4156972317305263064924, \ +1.539994276579740084543,0.9226243343869420243664,1.3725618187689798688211, \ +1.0322581557317391798279,0.6813198095430882395007,1.0902381815309389878621, \ 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( fabs(sacoss(tIn1[i]) - tRes1[i]) / fabs(sacoss(tIn1[i])) ) < 1e-6); + assert ( ( fabs(sacoss(tIn2[i]) - tRes2[i]) / fabs(sacoss(tIn2[i])) ) < 3e-6); + } +} + + +void dacossTest(void) { + int i=0; + double tIn1[]=InRD; + double tRes1[]=ResRD; + double tIn2[]=InID; + double tRes2[]=ResID; + + for(i=0;i<200;i++){ + assert ( ( (fabs(dacoss(tIn1[i])) - tRes1[i]) / fabs(dacoss(tIn1[i])) ) < 3e-15); + assert ( ( (fabs(dacoss(tIn2[i])) - tRes2[i]) / fabs(dacoss(tIn2[i])) ) < 3e-15); + } +} + + +void sacosaTest(void){ + int i=0; + float tIn1[]=InRF; + float tRes1[]=ResRF; + float tIn2[]=InIF; + float tRes2[]=ResIF; + float out1[200]; + float out2[200]; + sacosa(tIn1,200,out1); + sacosa(tIn2,200,out2); + for(i=0;i<200;i++){ + assert( (fabs(out1[i]-tRes1[i])/fabs(out1[i])) <1e-6); + assert( (fabs(out2[i]-tRes2[i])/fabs(out2[i])) <3e-6); + } +} + +void dacosaTest(void){ + int i=0; + double tIn1[]=InRD; + double tRes1[]=ResRD; + double tIn2[]=InID; + double tRes2[]=ResID; + double out1[200]; + double out2[200]; + dacosa(tIn1,200,out1); + dacosa(tIn2,200,out2); + for(i=0;i<200;i++){ + assert( (fabs(out1[i]-tRes1[i])/fabs(out1[i])) <3e-15); + assert( (fabs(out2[i]-tRes2[i])/fabs(out2[i])) <3e-15); + } +} + + + + +int testAcos(void) { + printf("\n>>>> Reals ArcCosine Tests\n"); + sacossTest(); + dacossTest(); + sacosaTest(); + dacosaTest(); + return 0; +} + +int main(void) { + assert(testAcos() == 0); + return 0; +} + + diff --git a/2.3-1/src/c/elementaryFunctions/acos/test_cplxacos/test_cplxacos.vcxproj b/2.3-1/src/c/elementaryFunctions/acos/test_cplxacos/test_cplxacos.vcxproj new file mode 100644 index 00000000..16540c31 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/acos/test_cplxacos/test_cplxacos.vcxproj @@ -0,0 +1,182 @@ +<?xml version="1.0" encoding="utf-8"?>
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\ No newline at end of file diff --git a/2.3-1/src/c/elementaryFunctions/acos/zacosa.c b/2.3-1/src/c/elementaryFunctions/acos/zacosa.c new file mode 100644 index 00000000..812c1405 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/acos/zacosa.c @@ -0,0 +1,20 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2007-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "acos.h" + +void zacosa(doubleComplex* x, int size, doubleComplex* y) { + int i = 0; + for (i = 0; i < size; ++i) { + y[i] = zacoss(x[i]); + } +} diff --git a/2.3-1/src/c/elementaryFunctions/acos/zacoss.c b/2.3-1/src/c/elementaryFunctions/acos/zacoss.c new file mode 100644 index 00000000..de6f3fe9 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/acos/zacoss.c @@ -0,0 +1,147 @@ +/*
+ * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
+ * Copyright (C) 2007-2008 - INRIA - Bruno JOFRET
+ * Copyright (C) Bruno Pincon
+ *
+ * This file must be used under the terms of the CeCILL.
+ * This source file is licensed as described in the file COPYING, which
+ * you should have received as part of this distribution. The terms
+ * are also available at
+ * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt
+ *
+ */
+
+/*
+ * This fonction is a translation of fortran wacos write by Bruno Pincon <Bruno.Pincon@iecn.u-nancy.fr>
+ * REFERENCE
+ * This is a Fortran-77 translation of an algorithm by
+ * T.E. Hull, T. F. Fairgrieve and P.T.P. Tang which
+ * appears in their article :
+ * "Implementing the Complex Arcsine and Arccosine
+ * Functions Using Exception Handling", ACM, TOMS,
+ * Vol 23, No. 3, Sept 1997, p. 299-335
+ */
+
+#include "acos.h"
+#include "atan.h"
+#include "log.h"
+#include "log1p.h"
+#include "sqrt.h"
+#include "abs.h"
+#include "lapack.h"
+#include "min.h"
+#include "max.h"
+
+#define localSign(x) (x>0 ? 1 : -1)
+
+doubleComplex zacoss(doubleComplex z) {
+ static double sdblPi = 3.1415926535897932384626433;
+ static double sdblPi_2 = 1.5707963267948966192313216;
+ static double sdblLn2 = 0.6931471805599453094172321;
+ static double sdblAcross = 1.5;
+ static double sdblBcross = 0.6417;
+
+ double dblLsup = dsqrts(getOverflowThreshold())/8.0;
+ double dblLinf = 4.0 * dsqrts(getUnderflowThreshold());
+ double dblEpsm = dsqrts(getRelativeMachinePrecision());
+
+ double dblAbsReal = dabss(zreals(z));
+ double dblAbsImg = dabss(zimags(z));
+ double dblSignReal = localSign(zreals(z));
+ double dblSignImg = localSign(zimags(z));
+
+ double dblR = 0, dblS = 0, dblA = 0, dblB = 0;
+
+ double dblTemp = 0;
+
+ double _pdblReal = 0;
+ double _pdblImg = 0;
+
+ if( min(dblAbsReal, dblAbsImg) > dblLinf && max(dblAbsReal, dblAbsImg) <= dblLsup)
+ {/* we are in the safe region */
+ dblR = dsqrts( (dblAbsReal + 1 )*(dblAbsReal + 1 ) + dblAbsImg*dblAbsImg);
+ dblS = dsqrts( (dblAbsReal - 1 )*(dblAbsReal - 1 ) + dblAbsImg*dblAbsImg);
+ dblA = 0.5 * ( dblR + dblS );
+ dblB = dblAbsReal / dblA;
+
+
+ /* compute the real part */
+ if(dblB <= sdblBcross)
+ _pdblReal = dacoss(dblB);
+ else if( dblAbsReal <= 1)
+ _pdblReal = datans(dsqrts(0.5 * (dblA + dblAbsReal) * (dblAbsImg*dblAbsImg / (dblR + (dblAbsReal + 1)) + (dblS + (1 - dblAbsReal)))) / dblAbsReal);
+ else
+ _pdblReal = datans((dblAbsImg * dsqrts(0.5 * ((dblA + dblAbsReal) / (dblR + (dblAbsReal + 1)) + (dblA + dblAbsReal) / (dblS + (dblAbsReal - 1))))) / dblAbsReal);
+
+ /* compute the imaginary part */
+ if(dblA <= sdblAcross)
+ {
+ double dblImg1 = 0;
+
+ if(dblAbsReal < 1)
+ /* Am1 = 0.5d0*((y**2)/(R+(x+1.d0))+(y**2)/(S+(1.d0-x))) */
+ dblImg1 = 0.5 * (dblAbsImg*dblAbsImg / (dblR + (dblAbsReal + 1)) + dblAbsImg*dblAbsImg / (dblS + (1 - dblAbsReal)));
+ else
+ /* Am1 = 0.5d0*((y**2)/(R+(x+1.d0))+(S+(x-1.d0))) */
+ dblImg1 = 0.5 * (dblAbsImg*dblAbsImg / (dblR + (dblAbsReal + 1)) + (dblS + (dblAbsReal - 1)));
+ /* ai = logp1(Am1 + sqrt(Am1*(A+1.d0))) */
+ dblTemp = dblImg1 + dsqrts(dblImg1 *( dblA + 1));
+ _pdblImg = dlog1ps(dblTemp);
+ }
+ else
+ /* ai = log(A + sqrt(A**2 - 1.d0)) */
+ _pdblImg = dlogs(dblA + dsqrts(dblA*dblA - 1));
+ }
+ else
+ {/* evaluation in the special regions ... */
+ if(dblAbsImg <= dblEpsm * dabss(dblAbsReal - 1))
+ {
+ if(dblAbsReal < 1)
+ {
+ _pdblReal = dacoss(dblAbsReal);
+ _pdblImg = dblAbsImg / dsqrts((1 + dblAbsReal) * (1 - dblAbsReal));
+ }
+ else
+ {
+ _pdblReal = 0;
+ if(dblAbsReal <= dblLsup)
+ {
+ dblTemp = (dblAbsReal - 1) + dsqrts((dblAbsReal - 1) * (dblAbsReal + 1));
+ _pdblImg = dlog1ps(dblTemp);
+ }
+ else
+ _pdblImg = sdblLn2 + dlogs(dblAbsReal);
+ }
+ }
+ else if(dblAbsImg < dblLinf)
+ {
+ _pdblReal = dsqrts(dblAbsImg);
+ _pdblImg = _pdblReal;
+ }
+ else if((dblEpsm * dblAbsImg - 1 >= dblAbsReal))
+ {
+ _pdblReal = sdblPi_2;
+ _pdblImg = sdblLn2 + dlogs(dblAbsImg);
+ }
+ else if(dblAbsReal > 1)
+ {
+ _pdblReal = datans(dblAbsImg / dblAbsReal);
+ dblTemp = (dblAbsReal / dblAbsImg)*(dblAbsReal / dblAbsImg);
+ _pdblImg = sdblLn2 + dlogs(dblAbsImg) + 0.5 * dlog1ps(dblTemp);
+ }
+ else
+ {
+ double dblTemp2 = dsqrts(1 + dblAbsImg*dblAbsImg);
+ _pdblReal = sdblPi_2;
+ dblTemp = 2 * dblAbsImg * (dblAbsImg + dblTemp2);
+ _pdblImg = 0.5 * dlog1ps(dblTemp);
+ }
+ }
+ if(dblSignReal < 0)
+ _pdblReal = sdblPi - _pdblReal;
+
+ if(dblAbsImg != 0 || dblSignReal < 0)
+ _pdblImg = - dblSignImg * _pdblImg;
+
+ return DoubleComplex(_pdblReal, _pdblImg);
+}
diff --git a/2.3-1/src/c/elementaryFunctions/acosh/Makefile.am b/2.3-1/src/c/elementaryFunctions/acosh/Makefile.am new file mode 100644 index 00000000..467f2ffb --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/acosh/Makefile.am @@ -0,0 +1,72 @@ +## +## Scilab ( http://www.scilab.org/ ) - This file is part of Scilab +## Copyright (C) 2008-2008 - INRIA - Bruno JOFRET +## +## This file must be used under the terms of the CeCILL. +## This source file is licensed as described in the file COPYING, which +## you should have received as part of this distribution. The terms +## are also available at +## http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt +## +## + +libAcosh_la_CFLAGS = -I ../../type \ + -I $(top_builddir)/src/c/auxiliaryFunctions/includes \ + -I ../includes + +instdir = $(top_builddir)/lib + +pkglib_LTLIBRARIES = libAcosh.la + +libAcosh_la_SOURCES = $(HEAD) $(SRC) + +SRC = sacoshs.c \ + dacoshs.c \ + cacoshs.c \ + zacoshs.c \ + sacosha.c \ + dacosha.c \ + cacosha.c \ + zacosha.c + +HEAD = ../includes/acosh.h + +#### +# Checking Part +#### + +check_INCLUDES = -I $(top_builddir)/src/c/elementaryFunctions/includes \ + -I $(top_builddir)/src/c/auxiliaryFunctions/includes \ + -I $(top_builddir)/src/c/type + +check_LDADD = $(top_builddir)/src/c/type/libDoubleComplex.la \ + $(top_builddir)/src/c/type/libFloatComplex.la \ + $(top_builddir)/src/c/operations/addition/libAddition.la \ + $(top_builddir)/src/fortran/lapack/libscilapack.la \ + $(top_builddir)/src/c/elementaryFunctions/acos/libAcos.la \ + $(top_builddir)/src/c/elementaryFunctions/acosh/libAcosh.la \ + $(top_builddir)/src/c/elementaryFunctions/atan/libAtan.la \ + $(top_builddir)/src/c/elementaryFunctions/log/libLog.la \ + $(top_builddir)/src/c/elementaryFunctions/log1p/libLog1p.la \ + $(top_builddir)/src/c/elementaryFunctions/sqrt/libSqrt.la \ + $(top_builddir)/src/c/elementaryFunctions/lnp1m1/libLnp1m1.la \ + $(top_builddir)/src/c/auxiliaryFunctions/abs/libAbs.la \ + $(top_builddir)/src/c/auxiliaryFunctions/pythag/libPythag.la \ + $(top_builddir)/src/c/operations/multiplication/libMultiplication.la \ + $(top_builddir)/src/c/auxiliaryFunctions/isnan/libIsnan.la \ + @LIBMATH@ + +check_PROGRAMS = testFloatAcosh testDoubleAcosh + +TESTS = testFloatAcosh testDoubleAcosh + +# +# -*- Hyperbolic Acosine Tests -*- +# +testFloatAcosh_SOURCES = testAcosh.h testFloatAcosh.c +testFloatAcosh_CFLAGS = $(check_INCLUDES) +testFloatAcosh_LDADD = $(check_LDADD) + +testDoubleAcosh_SOURCES = testAcosh.h testDoubleAcosh.c 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+install-info-am: + +install-man: + +install-pdf: install-pdf-am + +install-pdf-am: + +install-ps: install-ps-am + +install-ps-am: + +installcheck-am: + +maintainer-clean: maintainer-clean-am + -rm -rf ./$(DEPDIR) + -rm -f Makefile +maintainer-clean-am: distclean-am maintainer-clean-generic + +mostlyclean: mostlyclean-am + +mostlyclean-am: mostlyclean-compile mostlyclean-generic \ + mostlyclean-libtool + +pdf: pdf-am + +pdf-am: + +ps: ps-am + +ps-am: + +uninstall-am: uninstall-pkglibLTLIBRARIES + +.MAKE: check-am install-am install-strip + +.PHONY: CTAGS GTAGS all all-am check check-TESTS check-am clean \ + clean-checkPROGRAMS clean-generic clean-libtool \ + clean-pkglibLTLIBRARIES ctags distclean distclean-compile \ + distclean-generic distclean-libtool distclean-tags distdir dvi \ + dvi-am html html-am info info-am install install-am \ + install-data install-data-am install-dvi install-dvi-am \ + install-exec install-exec-am install-html install-html-am \ + install-info install-info-am install-man install-pdf \ + install-pdf-am install-pkglibLTLIBRARIES install-ps \ + install-ps-am install-strip installcheck installcheck-am \ + installdirs maintainer-clean maintainer-clean-generic \ + mostlyclean mostlyclean-compile mostlyclean-generic \ + mostlyclean-libtool pdf pdf-am ps ps-am tags uninstall \ + uninstall-am uninstall-pkglibLTLIBRARIES + + +# Tell versions [3.59,3.63) of GNU make to not export all variables. +# Otherwise a system limit (for SysV at least) may be exceeded. +.NOEXPORT: diff --git a/2.3-1/src/c/elementaryFunctions/acosh/cacosha.c b/2.3-1/src/c/elementaryFunctions/acosh/cacosha.c new file mode 100644 index 00000000..925ddf88 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/acosh/cacosha.c @@ -0,0 +1,20 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2007-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "acosh.h" + +void cacosha(floatComplex* x, int size, floatComplex* y) { + int i = 0; + for (i = 0; i < size; ++i) { + y[i] = cacoshs(x[i]); + } +} diff --git a/2.3-1/src/c/elementaryFunctions/acosh/cacoshs.c b/2.3-1/src/c/elementaryFunctions/acosh/cacoshs.c new file mode 100644 index 00000000..15238215 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/acosh/cacoshs.c @@ -0,0 +1,33 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2007-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +/* +// METHOD +// based on the formula : +// +// acosh(z) = sign(-imag(acos(z)) i acos(z) +// +// sign(x) = 1 if x >= 0 +// | -1 if x < 0 +*/ + +#include "acosh.h" +#include "acos.h" + +#define localSign(x) x >= 0 ? 1.0f : -1.0f + +floatComplex cacoshs(floatComplex z) { + floatComplex acos_z = cacoss(z); + float sign = localSign(-cimags(acos_z)); + + return FloatComplex(-sign * cimags(acos_z), sign * creals(acos_z)); +} diff --git a/2.3-1/src/c/elementaryFunctions/acosh/dacosha.c b/2.3-1/src/c/elementaryFunctions/acosh/dacosha.c new file mode 100644 index 00000000..d681a052 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/acosh/dacosha.c @@ -0,0 +1,20 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2007-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "acosh.h" + +void dacosha(double* x, int size, double* y) { + int i = 0; + for (i = 0; i < size; ++i) { + y[i] = dacoshs(x[i]); + } +} diff --git a/2.3-1/src/c/elementaryFunctions/acosh/dacoshs.c b/2.3-1/src/c/elementaryFunctions/acosh/dacoshs.c new file mode 100644 index 00000000..a5c13c8b --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/acosh/dacoshs.c @@ -0,0 +1,25 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2007-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include <math.h> +#include "acosh.h" + +#ifdef _MSC_VER +double acosh(double x)
+{
+ return log(x + sqrt(x * x - 1));
+}
+#endif + +double dacoshs(double x) { + return (acosh(x)); +} diff --git a/2.3-1/src/c/elementaryFunctions/acosh/sacosha.c b/2.3-1/src/c/elementaryFunctions/acosh/sacosha.c new file mode 100644 index 00000000..12b748cf --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/acosh/sacosha.c @@ -0,0 +1,20 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2007-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "acosh.h" + +void sacosha(float* x, int size, float* y) { + int i = 0; + for (i = 0; i < size; ++i) { + y[i] = sacoshs(x[i]); + } +} diff --git a/2.3-1/src/c/elementaryFunctions/acosh/sacoshs.c b/2.3-1/src/c/elementaryFunctions/acosh/sacoshs.c new file mode 100644 index 00000000..d2a9ae53 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/acosh/sacoshs.c @@ -0,0 +1,25 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2007-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include <math.h> +#include "acosh.h" + +#ifdef _MSC_VER +float acoshf (float x)
+{
+ return (float) log(x + sqrt(x * x - 1));
+}
+#endif
+ +float sacoshs(float x) { + return (acoshf(x)); +} diff --git a/2.3-1/src/c/elementaryFunctions/acosh/testAcosh.h b/2.3-1/src/c/elementaryFunctions/acosh/testAcosh.h new file mode 100644 index 00000000..04f91707 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/acosh/testAcosh.h @@ -0,0 +1,39 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#ifndef _TESTACOSH_H_ +#define _TESTACOSH_H_ + +#include <stdio.h> +#include <assert.h> +#include "acosh.h" + + +void sacoshsTest(void); + +void dacoshsTest(void); + +void cacoshsTest(void); + +void zacoshsTest(void); + +void sacoshaTest(void); + +void dacoshaTest(void); + +void cacoshaTest(void); + +void zacoshaTest(void); + +int testAcosh(void); + +#endif /* ! _TESTACOSH_H_ */ diff --git a/2.3-1/src/c/elementaryFunctions/acosh/testDoubleAcosh.c b/2.3-1/src/c/elementaryFunctions/acosh/testDoubleAcosh.c new file mode 100644 index 00000000..60a041db --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/acosh/testDoubleAcosh.c @@ -0,0 +1,512 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include <math.h> +#include "isnan.h" +#include "testAcosh.h" + +#ifdef _MSC_VER
+#include <float.h>
+#define isnan(x) _isnan((double)x)
+#endif + + +#define IN {38.746443623676896095276,39.8779044859111309052,99.6399083640426397324,\ +93.207842670381069183350,6.8147667217999696731567,71.874653641134500503540,\ +65.928971720859408378601,43.781969323754310607910,95.70061699487268924713,\ +39.777786191552877426147,54.149620747193694114685,14.754852838814258575439,\ +91.972588421776890754700,41.853474546223878860474,90.448315022513270378113,\ +32.027477025985717773438,57.482325518503785133362,75.726259034126996994019,\ +32.547289272770285606384,50.125551037490367889404,26.862081931903958320618,\ +11.706684622913599014282,36.675705714151263237000,87.538864836096763610840,\ +52.483216533437371253967,76.861125137656927108765,82.899243896827101707458,\ +64.99033216387033462524,56.250627012923359870911,21.698794979602098464966,\ +93.22312804870307445526,93.5097210109233856201,97.608120972290635108948,\ +91.35094834491610527039,26.843591919168829917908,9.1870715841650962829590,\ +17.129724519327282905579,73.117265943437814712524,86.922781122848391532898,\ +1.4808017760515213012695,65.071928361430764198303,42.254429217427968978882,\ +23.262092983350157737732,31.955500133335590362549,74.261871399357914924622,\ +77.881882060319185256958,65.248953877016901969910,90.324406325817108154297,\ +86.69646182097494602203,70.879780035465955734253,69.452034076675772666931,\ +84.671579115092754364014,93.227435695007443428040,95.654127094894647598267,\ +16.239900095388293266296,12.728751823306083679199,95.707353064790368080139,\ +67.644099798053503036499,39.798104530200362205505,11.081875301897525787354,\ +50.97153154201805591583,58.446559030562639236450,25.919713405892252922058,\ +29.182348400354385375977,6.0309174004942178726196,90.43274922296404838562,\ +61.944271018728613853455,25.037935934960842132568,83.850894169881939888000,\ +82.732185069471597671509,73.220202280208468437195,29.458374157547950744629,\ 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+13.735765032470226287842,0.2187759149819612503052,1.4656470157206058502197,\ +30.469974083825945854187,80.307766422629356384277,99.052629480138421058655,\ +82.85992136225104331970,87.21015579067170619965,29.531141556799411773682,\ +58.27610609121620655060,29.06773509457707405090,2.0005736034363508224,\ +71.4346818625926971436,26.664068037644028663635,51.992803346365690231323,\ +48.17320345900952816010,0.0918259844183921813965,38.418471114709973335266,\ +49.06664276495575904846,44.197808159515261650085,65.678765252232551574707,\ +10.470610717311501502991,42.787145730108022689819,75.105277216061949729919,\ +36.962236650288105010986,84.119305433705449104309,90.374342072755098342896,\ +44.184404192492365837097,1.0920032858848571777344,20.380018139258027076721,\ +85.418348293751478195190,39.327101549133658409119,97.573022358119487762451,\ +8.4199145901948213577271,23.39450428262352943420,48.397052986547350883484,\ +33.292300626635551452637,96.453859517350792884827,52.920697536319494247437,\ +7.9968032892793416976929,75.475437380373477935791,4.476350219920277596,\ +84.631874877959489822388,20.008285669609904289246,69.44785490632057189941,\ +28.204387659206986427307,79.546741675585508346558,20.281786611303687095642,\ +78.075716458261013031006,93.606285052374005317688,88.801648560911417007446,\ +33.848348213359713554382,89.761531725525856018066} + +#define RESULT {4.3500195892822599574856,4.378812333443298676627,5.2946847693089331698957,\ +5.2279502699832844925254,2.6068118507181217147206,4.968022463585481496295,\ +4.8816676362403299549442,4.4722388068202851840738,5.2543446283333992141706,\ +4.3762977630646631155287,4.6848128785767624293612,3.3835688928264802122214,\ +5.2146082054939908445590,4.4271792498758397726988,5.1978952030053422461719,\ +4.159497560939560578674,4.7445490293632399669832,5.0202285648475850621253,\ +4.1756051841813626168687,4.6075785448582253778227,3.9835162329116351465075,\ 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+4.9073526741507107473694,4.3768085901327413722584,3.0964161555968114925008,\ +4.6243182142058252281913,4.7611868033967539304285,3.9477786701409951497510,\ +4.0664175090632737052943,2.4831009250018341028010,5.1977230816033159754852,\ +4.8193171469932529760172,3.9131402651137854320496,5.1221517738388655516246,\ +5.1087193584020944570057,4.98657191625376672306,4.0758371911626332106948,\ +4.0632814774108050315249,4.9481239065017428302440,4.1094776238806378643176,\ +5.0202867341820684998766,4.9860329708595516606806,4.9279811897230469952547,\ +4.8266925606060153697285,4.421080015153528108840,4.0288134359166507536543,\ +2.4118364183807097234080,4.7542122019999739634954,0,\ +4.9167355873994562642793,5.1832514554357551617159,5.2255055264178071894321,\ +4.0392267678246307482937,2.9816410740582028893186,4.4155348942144980739499,\ +4.8538668500531736427206,4.8627367182462748473881,4.5437480774189333843083,\ +4.7954231948046981415246,4.8998553915953095838631,4.9613217960209823331752,\ +4.6843975172654603866818,4.3578777660333960497496,0.4626347638559775710121,\ +5.1945923008314265345575,3.3228343258666956927527,2.830622803369744922009,\ +4.238528249750794785200,4.438709481897562980635,5.077806047884725337838,\ +4.1519928438683244564800,3.5839165427001460351164,4.9371344840241793150426,\ +4.2619788264190443527468,3.4726281293145686568380,5.0151457380383783757338,\ +4.8233440014012511909414,4.6348430510092004652734,4.9099388325030934865367,\ +4.81482819845952114690,4.9446162371720561168331,3.3034540778469194677314,\ +4.8018287252966844746993,3.6328352359975357721567,4.556167488561304601546,\ +3.5349368514717505185274,4.41558212917596915048,3.4210967363570983224008,\ +3.8224459155669441301484,5.2559705982049909067655,4.3692671498839636967659,\ +1.5671566063449566819088,4.4980634827120455909721,5.2081885950679547292452,\ +3.0901072205487807309510,5.0089838747007107144782,0,\ +3.850698741029123794988,5.076462566530570263978,4.8744723131002718474747,\ +4.6369786693462113902342,4.9454673471881154256380,2.3923187222394570738970,\ +4.8292733779221936885051,5.127649658742538640865,3.5426723072020398497273,\ +4.424241396092424949416,5.0983081346685077406278,3.9246509637740216724922,\ +5.1484540607983912963164,3.537944651477085589164,5.0505959169093319616195,\ +3.3118225003889145696689,0,0.9310418690232507010762,\ +4.1096195393026562214800,5.0789747485012091132717,5.2887730188734272118722,\ +5.1102622536361952398920,5.1614350980940946200803,4.0783057415377843568649,\ +4.7582657239633334711471,4.0624799671967695147146,1.3172890037212539038336,\ +4.9618816771260449982606,3.9761122565887623281,4.64415999832871140285,\ +4.5678423566873336270078,0,4.3415161209508754680542,\ +4.5862227542495350718355,4.481694375737592217490,4.8778648861550966131517,\ +3.0394313734202933474648,4.4492483198356360674097,5.0119936831694982259933,\ +4.3028609023006350042806,5.1253479422290126876760,5.1970769705972195140475,\ +4.4813909798397162376205,0.4257373352329655857851,3.7070996451820255046528,\ +5.1406738437618608728030,4.3648993866947414232982,5.2737219653314042489001,\ +2.820201721217977297584,3.8451912168199942065883,4.5724793527790357217100,\ +4.1982477070823893683382,5.2621850617105074832125,4.661852422144622920541,\ +2.7682565538529817494862,5.0169105620070073570105,2.1792385497944919414692,\ +5.131423242241443638534,3.6886685835548016498819,4.9336715234659216378077,\ +4.032310316197459165721,5.0694524637856641646749,3.7022621441401133424165,\ +5.0507852459760567143121,5.2322161767096924123166,5.1795206909289932539764,\ +4.2148191048546337356129,5.19027265701442619417} + + +#define ZRIN {0.1483933464623987674713,0.5565875237807631492615,0.4628333351574838161469,\ +0.9158247429877519607544,0.0444016349501907825470,0.8175177471712231636047,\ +0.5320580708794295787811,0.2989391684532165527344,0.5029047676362097263336,\ +0.4266923693940043449402,0.3965902938507497310638,0.7440190296620130538940,\ +0.7921002809889614582062,0.5715918401256203651428,0.4155966262333095073700,\ +0.2953372262418270111084,0.1075767637230455875397,0.7572548976168036460876,\ +0.93660886352881789207,0.7694978956133127212524,0.0902581927366554737091,\ +0.4731486858800053596497,0.4765542480163276195526,0.6361737176775932312012,\ +0.5064576440490782260895,0.9049607468768954277039,0.6742701171897351741791,\ +0.3656400945037603378296,0.6837903787381947040558,0.4100628877058625221252,\ +0.3582529271952807903290,0.7118562050163745880127,0.7966963038779795169830,\ +0.9753969227895140647888,0.5733916512690484523773,0.8998429346829652786255,\ +0.5953218084760010242462,0.3765322910621762275696,0.9104355531744658946991,\ +0.1861076802015304565430,0.6715109744109213352203,0.2566455481573939323425,\ +0.9819463356398046016693,0.7608660291880369186401,0.8556561623699963092804,\ +0.8441717335954308509827,0.3884846637956798076630,0.4608103148639202117920,\ +0.8381579727865755558014,0.5278776129707694053650,0.0187810636125504970551,\ +0.2611750457435846328735,0.6092445817776024341583,0.0081067951396107673645,\ +0.0276411953382194042206,0.0158492103219032287598,0.8109004520811140537262,\ +0.2429467244073748588562,0.3353355019353330135345,0.4142854567617177963257,\ +0.5946544189937412738800,0.9080675477162003517151,0.992223232518881559372,\ +0.6239561475813388824463,0.0789771513082087039948,0.5889828568324446678162,\ +0.2523608407936990261078,0.5871062893420457839966,0.0000379872508347034454,\ +0.4244823055341839790344,0.69984475849196314812,0.4405533373355865478516,\ +0.6495711454190313816071,0.4199861017987132072449,0.2716385438106954097748,\ +0.0272838752716779708862,0.6936013107188045978546,0.1495713749900460243,\ +0.5206344048492610454559,0.9685971699655055999756,0.9657785953022539615631,\ +0.0654204180464148521423,0.9626990980468690395355,0.2655456010252237319946,\ +0.8290728745050728321075,0.1334408046677708625793,0.8514542016200721263885,\ +0.8984219655394554138184,0.1995774977840483188629,0.0138073815032839775085,\ +0.2245407640002667903900,0.3930436577647924423218,0.8261723746545612812042,\ +0.5051761353388428688049,0.5651183272711932659149,0.822583723813295364380,\ +0.9197964356280863285065,0.4713199352845549583435,0.9223483256064355373383,\ +0.2136987913399934768677,0.7260794681496918201447,0.9689361499622464179993,\ +0.8346118587069213390350,0.8257038742303848266602,0.1350833275355398654938,\ +0.7953761396929621696472,0.8992118402384221553802,0.2715440522879362106323,\ +0.9219025229103863239288,0.1750466236844658851624,0.3323095212690532207489,\ +0.9493130259215831756592,0.7118741781450808048248,0.8032329222187399864197,\ +0.3628453887067735195160,0.7530685458332300186157,0.2641473677940666675568,\ +0.9660940738394856452942,0.8041944387368857860565,0.5316947177052497863770,\ +0.1673618280328810214996,0.955579827539622783661,0.6473058252595365047455,\ +0.2645611818879842758179,0.5411860425956547260284,0.4980195099487900733948,\ +0.0190768833272159099579,0.4227291680872440338135,0.8374647037126123905182,\ +0.4151327675208449363708,0.3497115275822579860687,0.4844544250518083572388,\ +0.3347255480475723743439,0.2362121837213635444641,0.0928130256943404674530,\ +0.0737370252609252929688,0.4197955676354467868805,0.9802277712151408195496,\ +0.8419611467979848384857,0.6906680446118116378784,0.2502765958197414875031,\ +0.8266033390536904335022,0.1875236849300563335419,0.5023231171071529388428,\ +0.8916302681900560855865,0.8934147348627448081970,0.1574523574672639369965,\ +0.1629528645426034927368,0.5226223585195839405060,0.8417599620297551155090,\ +0.5858130785636603832245,0.1322202011942863464355,0.8028764897026121616364,\ +0.5250511718913912773132,0.2528006075881421566010,0.4602345135062932968140,\ +0.996287219692021608353,0.4019785309210419654846,0.1399875725619494915009,\ +0.5081327147781848907471,0.9440425024367868900299,0.9318959629163146018982,\ +0.6445578685961663722992,0.5729571748524904251099,0.4810055238194763660431,\ +0.6713787661865353584290,0.0962744313292205333710,0.8855805248022079467773,\ +0.3892059125937521457672,0.2907031057402491569519,0.4209313853643834590912,\ +0.9504273366183042526245,0.482190326321870088577,0.2289973804727196693420,\ +0.2940405677072703838348,0.6957426778972148895264,0.9139824123121798038483,\ +0.2068154653534293174744,0.6285024262033402919769,0.4031575415283441543579,\ +0.3064021435566246509552,0.3148818286135792732239,0.7400112929753959178925,\ +0.8853011503815650939941,0.788494529668241739273,0.8977585239335894584656,\ +0.0339450328610837459564,0.8802101369947195053101,0.5418177028186619281769,\ +0.9511840576305985450745,0.5574890668503940105438,0.1312845982611179351807,\ +0.9453403786756098270416,0.2518341308459639549255,0.2607447705231606960297,\ +0.1215410251170396804810,0.9136986923404037952423,0.9382542567327618598938,\ +0.3105722474865615367889,0.9309121072292327880859} + +#define ZIIN {0.5225624092854559421539,0.7617142526432871818542,0.3009174778126180171967,\ +0.1853434126824140548706,0.5148605112917721271515,0.7257346073165535926819,\ +0.7033738414756953716278,0.5664369426667690277100,0.7816161573864519596100,\ +0.3330347230657935142517,0.4017280167900025844574,0.8503915611654520034790,\ +0.41114101978018879890,0.1586530329659581184387,0.6542402538470923900604,\ +0.9449902996420860290527,0.400338994804769754410,0.9679889930412173271179,\ +0.32740902295336127281,0.8933845367282629013062,0.6218692888505756855011,\ +0.0985169494524598121643,0.7449700380675494670868,0.3134250529110431671143,\ +0.1409188793040812015533,0.3239218806847929954529,0.9958796552382409572601,\ +0.2412899602204561233521,0.4753343504853546619415,0.9194070147350430488586,\ +0.0450326460413634777069,0.8481595069169998168945,0.8928631045855581760406,\ +0.1469233212992548942566,0.4904643460176885128021,0.9986877571791410446167,\ +0.3392539476044476032257,0.8790708789601922035217,0.3107871781103312969208,\ +0.1200211457908153533936,0.0909670502878725528717,0.5804221173748373985291,\ +0.446611551102250814438,0.3501139078289270401001,0.7262432840652763843536,\ +0.3650169344618916511536,0.5597011330537497997284,0.434090383350849151611,\ +0.5082829319871962070465,0.3487796885892748832703,0.8136124997399747371674,\ +0.337404197081923484802,0.7742837746627628803253,0.0156080657616257667542,\ +0.0195691580884158611298,0.0445443131029605865479,0.4240885511972010135651,\ +0.8158838218078017234802,0.9913199446164071559906,0.5120379645377397537231,\ +0.1021917951293289661407,0.7161553995683789253235,0.4527317988686263561249,\ +0.2445004582405090332031,0.1668560453690588474274,0.9187424210831522941589,\ +0.3418669118545949459076,0.4624818544834852218628,0.0400874321348965167999,\ +0.4700120547786355018616,0.8552942494861781597137,0.3308605216443538665771,\ +0.0322206378914415836334,0.9760772576555609703064,0.0763854510150849819183,\ +0.2165335658937692642212,0.2348632332868874073029,0.1446668924763798713684,\ +0.5313451024703681468964,0.4441541358828544616699,0.5759493880905210971832,\ +0.3719177199527621269226,0.5167253850959241390228,0.5186656024307012557983,\ +0.6306529571302235126495,0.0928382659330964088440,0.5421750987879931926727,\ +0.2833826132118701934814,0.2819099412299692630768,0.1141945635899901390076,\ +0.7321730605326592922211,0.9823690224438905715942,0.8243003231473267078400,\ +0.6485677706077694892883,0.5304958778433501720428,0.6958626955747604370117,\ +0.6050392785109579563141,0.2683336613699793815613,0.5511700971983373165131,\ +0.1174971889704465866089,0.7958277617581188678741,0.4983139941468834877014,\ +0.9196587274782359600067,0.1420703046023845672607,0.389312467072159051895,\ +0.2658497532829642295837,0.9480321384035050868988,0.2326095197349786758423,\ +0.0139051643200218677521,0.9270462663844227790833,0.4878733339719474315643,\ +0.0354842916131019592285,0.6607114099897444248199,0.0879401965066790580750,\ +0.8046676008962094783783,0.212315237149596214294,0.9163186331279575824738,\ +0.9393384093418717384338,0.3174265320412814617157,0.9574301876127719879150,\ +0.7951935962773859500885,0.3240787154063582420349,0.0472964248619973659515,\ +0.1696171183139085769653,0.7654392314143478870392,0.2554624872282147407532,\ +0.1189010548405349254608,0.7469239532947540283203,0.0616608508862555027008,\ +0.1056091515347361564636,0.1581688239239156246185,0.9732552450150251388550,\ +0.8786917333491146564484,0.1824825564399361610413,0.9303942839615046977997,\ +0.4655157290399074554443,0.5399280847050249576569,0.9143392136320471763611,\ +0.0622840351425111293793,0.6500507537275552749634,0.2340233740396797657013,\ +0.3603484155610203742981,0.1917369994334876537323,0.2371335849165916442871,\ +0.4136920445598661899567,0.2661342276260256767273,0.3891090690158307552338,\ +0.6622495856136083602905,0.4503725995309650897980,0.3829893553629517555237,\ +0.1937121297232806682587,0.9629272706806659698486,0.6385000632144510746002,\ +0.2695108866319060325623,0.1092974594794213771820,0.0598662365227937698364,\ +0.1431378168053925037384,0.2944079088047146797180,0.9022735017351806163788,\ +0.9111119657754898071289,0.9847188093699514865875,0.0592310009524226188660,\ +0.5464080139063298702240,0.5080275069922208786011,0.6546461437828838825226,\ +0.9597736010327935218811,0.1577645908109843730927,0.1818120293319225311279,\ +0.4555030376650393009186,0.1048952480778098106384,0.7636235631071031093597,\ +0.1893162522464990615845,0.1596221593208611011505,0.3115166993811726570129,\ +0.2491372707299888134003,0.0469047501683235168457,0.0797643386758863925934,\ +0.3945369226858019828796,0.3254697113297879695892,0.5811151321977376937866,\ +0.1456566532142460346222,0.4704219633713364601135,0.8631705637089908123016,\ +0.1648640967905521392822,0.0801398889161646366119,0.4932156866416335105896,\ +0.4345335862599313259125,0.1079503614455461502075,0.2686753761954605579376,\ +0.7417223947122693061829,0.4086893904022872447968,0.6706044673919677734375,\ +0.4159612008370459079742,0.4766113189980387687683,0.4431825890205800533295,\ +0.6688354592770338058472,0.5834077899344265460968,0.4861929873004555702209,\ +0.715783319901674985886,0.1403244398534297943115} + +#define ZRRESULT {0.5053397031743451783825,0.7650083608446867078356,0.3289296819323739295982,\ +0.3563456766158749622342,0.4948207655225617118688,0.8169593462846268527855,\ +0.7132198900639351579755,0.5570137230416445373038,0.7685376318852206178889,\ +0.3559803193123551312560,0.4189790595413633300659,0.8813522345691391368661,\ +0.5405451162482487470484,0.1905551975849387180695,0.6493731034151291048317,\ +0.8578709195697519218626,0.3922142862720902067863,0.9642946930057294530059,\ +0.5389615746319644795648,0.9186094888728127960675,0.5890418064066422765279,\ +0.1113977102429560134267,0.7345860770241963155769,0.3799876579856086289411,\ +0.1619970506356118999935,0.51382943864194075001,0.9605702232101991366875,\ +0.2552214504374311077051,0.5588288246069162967800,0.8545155572742579863643,\ +0.0482073009402987154304,0.8701819105023789191478,0.9267094766915666692597,\ +0.3583874762657675017152,0.5394241582016752190043,1.0267057888096897677599,\ +0.3962322220487046187110,0.8200372580795054489045,0.5035682683774097556650,\ +0.1218215489911998739014,0.1217295472085216101465,0.5645974853924803360528,\ +0.6787204142960019392916,0.4641409785094591788912,0.8320374579652175528466,\ +0.5202648072575078996849,0.5635084163999081185992,0.4608376215542885900867,\ +0.6521335567127740651117,0.3901559225476997627702,0.7433295520896158192770,\ +0.3414853587252406064145,0.7876437052847802267053,0.0156079448330699189357,\ +0.0195753850507095344957,0.0445351746116087257588,0.5619901990592348628439,\ +0.7563216032216260042986,0.8953230010983072029163,0.5250759023565449989945,\ +0.1262270783291525866332,0.8463340938014771719367,0.6903512283163251161966,\ +0.3002023271844543317322,0.1665929038330317135674,0.8881085995755062523216,\ +0.3450945758035259824936,0.5168125326109850314893,0.0400767031552608649081,\ +0.4881659313644853837033,0.8717577944100705078512,0.3559191435167290418207,\ +0.0423384874325624382951,0.8962569818869624560520,0.0792669980362326609402,\ +0.2149514867261388406661,0.3084002596083564862184,0.1457610223920582370738,\ +0.5638322964331675679617,0.6681928703809085767773,0.7715309042125101379739,\ +0.3644939000586688848671,0.7241095709372292743566,0.5109856481565466790329,\ +0.7492592023075983487246,0.0935322123614654998836,0.6873609600399674945947,\ +0.4653574362777189166174,0.2834338708350941926639,0.1139584955905696417311,\ +0.6886187601911135658384,0.8966624572124947123442,0.8901159605244814976288,\ +0.6621780758434868685569,0.5739364819547106977282,0.7967040377802739881119,\ +0.7702556784014074064970,0.2963495189276508789966,0.729639913718978516677,\ +0.1199467917211827494572,0.8369585267706058928638,0.7130151705637984838049,\ +0.9564173315765011063050,0.2362741844905166255231,0.3829952297292640861492,\ +0.3854654409071321952140,0.9956878617898979877410,0.2388852521695121466916,\ +0.0357548125472270175718,0.8344528446849692748799,0.4908081134490644426016,\ +0.1072298401775326898155,0.7292248632489435333781,0.1444440063075330404896,\ +0.7618560442692507983509,0.3014073074948313002430,0.8338433864005018181231,\ +1.013809216729007589564,0.4488437286282063176657,0.9028988520348978363828,\ +0.7342748763980897486192,0.5492704923146081164020,0.0619250478958671968233,\ +0.1747947745500638971894,0.7643392221916658346714,0.2869233753851287982428,\ +0.1186438529044472750540,0.7261517086175122148717,0.1110167797262640587697,\ +0.1156665104854840142590,0.1677179018762894047168,0.9049771869312485117476,\ +0.8140692858573190804350,0.1865250841653489921601,0.8328626043313867022277,\ +0.4511026850510220786994,0.5511713324178673101272,1.0040394102716723168101,\ +0.1134432764930088655131,0.7136163206069113806862,0.2389915016256592694699,\ +0.5061510239067475991348,0.1938531425179492451161,0.267912781705172242663,\ +0.594520593176991907214,0.4421595740617755287971,0.3838580911610497414799,\ +0.6265966551277006857390,0.4892019455111443759776,0.5371648663643865395656,\ +0.2336644699290637006150,0.8580649693764487162539,0.7447932141471096390006,\ +0.30664577808112553070,0.1126796888171682081703,0.0673404850217956818526,\ +0.3780061914448271664924,0.3135468248495265064513,0.8141814149801622768621,\ +0.8656800272972641208113,1.0330415543607425199468,0.1517147576472806791426,\ +0.6107832692276639052764,0.5555300503019462432519,0.6621194316643849164805,\ +0.9359383537376269046604,0.1578266511911156633197,0.3288869400610432980336,\ +0.4688911283964798393242,0.1093517544178844447256,0.7390278072154514710235,\ +0.3915656081630794482784,0.1803516698292359499156,0.3140185989593758941751,\ +0.2570435038916802361619,0.0651252572213311814453,0.1812803236410877871787,\ +0.3918987512324060840108,0.3907169202420177067658,0.5847178774812699098007,\ +0.1522469534945809221949,0.4726351219523636792985,0.8890284419930043480207,\ +0.3043305148205690535690,0.1282404489119809976039,0.6689999411776240689775,\ +0.4220981761434796641907,0.2107039270298768085521,0.3089304668962193911597,\ +0.8825265124364938262858,0.4570764804119011315287,0.6317437032300170507426,\ +0.6289949625530589782940,0.4716158816756069738219,0.4417016096894970100806,\ +0.6297964082740089564183,0.7506329678118981441060,0.6853639001045995771122,\ +0.6844909750084481325771,0.3028385676048351293765} + +#define ZIRESULT {1.4391441245686327210507,1.130955515640670316913,1.1164484564631134144719,\ +0.5343429881094952094145,1.5313159234681512632648,0.9218282568507811802760,\ +1.1368031918334591257036,1.309961324172885133166,1.1768313149474189938104,\ +1.1581725732800560724201,1.198068547194847122128,1.0167778558643913999759,\ +0.8107284978807606234952,0.9747572654361357225028,1.2226962809307837520834,\ +1.356863284326968122073,1.4708283871101888173882,1.0424189614104724110888,\ +0.6175483783889722522176,1.012434899444895508580,1.4941377955828787360559,\ +1.081247186686038253001,1.189977918876721885155,0.9361970185325101390106,\ +1.0473314366303878575337,0.6478815708564551467674,1.103880390282215628872,\ +1.208902068619972958174,0.9405460211534443226711,1.2708555309086870810376,\ +1.2048457921815343141247,1.0386992340805454304586,0.9940470159552662332558,\ +0.4129471251607437776165,1.0483368304459323994138,0.9626808065085141752348,\ +0.9866797451792658213421,1.2893127532844186333705,0.6333368050416610106623,\ +1.3849939050391590900091,0.8412033774271403530065,1.3484185557182311043789,\ +0.6561721869869621137639,0.8152667302376208624537,0.8942162872449925803409,\ +0.7354476761871528989190,1.2302184692777484720239,1.1419032200306009627866,\ +0.8136425490751511002685,1.0585917357001826122342,1.5562281161680697749716,\ +1.3215709464122720184776,1.0936282246933759498830,1.562690430228121041267,\ +1.5431569076078051061529,1.5549621593607869662890,0.7985043985204253180754,\ +1.3827954341839958640747,1.3338048203354757603734,1.1992311317991326546917,\ +0.9398015526727905299964,0.8526323846859752420002,0.6516084904889641871151,\ +0.9312161189612270240090,1.4928235928235611407189,1.1434135639085114544145,\ +1.3304436504678796016066,1.0279557218905930326969,1.5707583700301124274290,\ +1.18264027414866035315,1.049240570305455033662,1.1438977350867394200407,\ +0.8645410048697405036577,1.272544314036070156604,1.2965854453389789036066,\ +1.5441276936419627840991,0.8474785980812834518261,1.4222542688372477037717,\ +1.1067340541491283989473,0.6658230283826037654293,0.7440600810961385258580,\ +1.509454955782236762474,0.7139904083352976993382,1.3343109319103572119047,\ +0.8754276015708571945240,1.4375430902494801266300,0.8182153660902479197503,\ +0.6279916190243797213810,1.3777792247900606525945,1.5570776874524723254467,\ +1.3896877170114805277734,1.292290381577097857502,0.9513544490495031702437,\ +1.146595322853661613749,1.0663673649265974496814,0.9066444651210990857138,\ +0.7936124351430207113367,1.1025133400691302654195,0.7646931356316959416120,\ +1.3570006423237950254901,1.0127507430242304042878,0.6984070724030820853656,\ +0.9777377069899801931285,0.6381815285628557044006,1.4447151619316793702552,\ +0.7381184252357657626931,0.9463444174447509515957,1.3036540993301888313738,\ +0.3993509460349408124458,1.4425649666003559357108,1.2703537792660923866350,\ +0.3366052452908819825339,0.9799364183556658058905,0.6519110571169279833015,\ +1.288935099739083156578,0.766834829952783847418,1.3765235555687964641436,\ +0.9026821267000586512808,0.7532458865053713870097,1.1915253215495016370085,\ +1.4398661339551832583084,0.5960292480319858698934,0.8683763627836410536887,\ +1.307183356265154250409,1.1437419441048803925298,1.0721920855425228769064,\ +1.5518517938677236500666,1.2329687641584510249260,0.5874976025749066854686,\ +1.1457409989520814797004,1.2187173974473419768572,1.2272326680013900812583,\ +1.3202499364548996307889,1.3364966855772182352524,1.5028659601895917319325,\ +1.5039244799556488185743,1.199080874147727016066,0.8850027352965960103504,\ +0.5797999065603636204003,0.9935513093218836244702,1.3250345117052622079257,\ +0.7510747251416685088543,1.3856864393507652977178,1.0646397833458374204696,\ +0.7161423103150551527918,0.6220745390646167383153,1.4237426982899421545881,\ +1.4349026977530163762253,1.0862935323189089054097,0.7475103036060971595234,\ +0.9640755596017442918821,1.4756182374730877349123,0.8992686396344509169865,\ +1.0456992348735927311765,1.316872193719026640224,1.0937098269572853581622,\ +0.3787889502350130777053,1.1777575502770252224849,1.466927792635024818679,\ +1.198998549247170863907,0.9317214709279717510526,0.3994553068013038665818,\ +0.9996993047110468433303,1.0533682169916682713762,1.1680862767422879322510,\ +1.0968093743281353003027,1.475564759332087749755,0.5739680940616843640711,\ +1.2132055498728515630091,1.277641763762892734846,1.2372616699165408515881,\ +0.4908185034943345348424,1.0764535824324550361553,1.3508749145869605179371,\ +1.282220574891209663448,0.8033914160655766245611,0.4529330910646225394345,\ +1.3777085436870080137339,0.9478851551815749010288,1.2208388985822435923723,\ +1.263077873207383738929,1.284175149159334061721,1.023436357706823729430,\ +0.5626793926847969418148,0.6728398111486185717567,0.7545922256887819257187,\ +1.5396608871785673056110,0.5335122401588628937574,1.0275094129340511805992,\ +0.8338356239168208672297,1.0426578447465559840168,1.4617456602888381222982,\ +0.6682797094798482717692,1.3426136823908161321839,1.3312882615539098907220,\ +1.4697575902556172522395,0.7877417380659905710161,0.7165102522491650915981,\ +1.3183788402186256139004,0.4738958779540429211430} + +void dacoshsTest(void) { + double In[]=IN; + double Res[]=RESULT; + double out; + int i = 0; + + for (i=0;i<200;i++){ + if (In[i]<1) assert(1); + else { + out = dacoshs(In[i]); + assert ( ( fabs(out-Res[i]) / fabs(out) ) <3e-16); + } + } +} + +void zacoshsTest(void) { + double InR[]=ZRIN; + double InI[]=ZIIN; + double ResR[]=ZRRESULT; + double ResI[]=ZIRESULT; + int i=0; + doubleComplex in,out; + + for (i=0;i<200;i++){ + in=DoubleComplex(InR[i],InI[i]); + out=zacoshs(in); + assert( ( fabs(zreals(out)-ResR[i]) / fabs(zreals(out)) ) <3e-15); + assert( ( fabs(zimags(out)-ResI[i]) / fabs(zimags(out)) ) <3e-15); + } +} + +void dacoshaTest(void) { + double In[]=IN; + double Res[]=RESULT; + double out[200],in[200]; + int i = 0; + + for (i=0;i<200;i++){ + in[i]=In[i]; + } + + dacosha(in,200,out); + for (i=0;i<200;i++){ + if (isnan(out[i])) assert(1); + else{ + assert ( ( fabs(out[i]-Res[i]) / fabs(out[i]) ) <3e-16); + } + } +} + +void zacoshaTest(void) { + double InR[]=ZRIN; + double InI[]=ZIIN; + double ResR[]=ZRRESULT; + double ResI[]=ZIRESULT; + int i=0; + doubleComplex in[200],out[200]; + + for (i=0;i<200;i++){ + in[i]=DoubleComplex(InR[i],InI[i]); + } + zacosha(in,200,out); + for (i=0;i<200;i++){ + assert( ( fabs(zreals(out[i])-ResR[i]) / fabs(zreals(out[i])) ) <3e-15); + assert( ( fabs(zimags(out[i])-ResI[i]) / fabs(zimags(out[i])) ) <3e-15); + } +} + +int testAcosh(void) { + printf("\n>>>> Double Hyperbolic ArcCosine Tests\n"); + dacoshsTest(); + zacoshsTest(); + dacoshaTest(); + zacoshaTest(); + return 0; +} + +int main(void) { + assert(testAcosh() == 0); + return 0; +} diff --git a/2.3-1/src/c/elementaryFunctions/acosh/testFloatAcosh.c b/2.3-1/src/c/elementaryFunctions/acosh/testFloatAcosh.c new file mode 100644 index 00000000..aa14a308 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/acosh/testFloatAcosh.c @@ -0,0 +1,510 @@ +/*
+ * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
+ * Copyright (C) 2006-2008 - INRIA - Bruno JOFRET
+ *
+ * This file must be used under the terms of the CeCILL.
+ * This source file is licensed as described in the file COPYING, which
+ * you should have received as part of this distribution. The terms
+ * are also available at
+ * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt
+ *
+ */
+
+#include "testAcosh.h"
+#include "isnan.h"
+
+#ifdef _MSC_VER
+#include <float.h>
+#define isnan(x) _isnan((double)x)
+#endif
+
+#define IN {38.746443623676896095276f,39.8779044859111309052f,99.6399083640426397324f,\
+93.207842670381069183350f,6.8147667217999696731567f,71.874653641134500503540f,\
+65.928971720859408378601f,43.781969323754310607910f,95.70061699487268924713f,\
+39.777786191552877426147f,54.149620747193694114685f,14.754852838814258575439f,\
+91.972588421776890754700f,41.853474546223878860474f,90.448315022513270378113f,\
+32.027477025985717773438f,57.482325518503785133362f,75.726259034126996994019f,\
+32.547289272770285606384f,50.125551037490367889404f,26.862081931903958320618f,\
+11.706684622913599014282f,36.675705714151263237000f,87.538864836096763610840f,\
+52.483216533437371253967f,76.861125137656927108765f,82.899243896827101707458f,\
+64.99033216387033462524f,56.250627012923359870911f,21.698794979602098464966f,\
+93.22312804870307445526f,93.5097210109233856201f,97.608120972290635108948f,\
+91.35094834491610527039f,26.843591919168829917908f,9.1870715841650962829590f,\
+17.129724519327282905579f,73.117265943437814712524f,86.922781122848391532898f,\
+1.4808017760515213012695f,65.071928361430764198303f,42.254429217427968978882f,\
+23.262092983350157737732f,31.955500133335590362549f,74.261871399357914924622f,\
+77.881882060319185256958f,65.248953877016901969910f,90.324406325817108154297f,\
+86.69646182097494602203f,70.879780035465955734253f,69.452034076675772666931f,\
+84.671579115092754364014f,93.227435695007443428040f,95.654127094894647598267f,\
+16.239900095388293266296f,12.728751823306083679199f,95.707353064790368080139f,\
+67.644099798053503036499f,39.798104530200362205505f,11.081875301897525787354f,\
+50.97153154201805591583f,58.446559030562639236450f,25.919713405892252922058f,\
+29.182348400354385375977f,6.0309174004942178726196f,90.43274922296404838562f,\
+61.944271018728613853455f,25.037935934960842132568f,83.850894169881939888000f,\
+82.732185069471597671509f,73.220202280208468437195f,29.458374157547950744629f,\
+29.091028729453682899475f,70.458725746721029281616f,30.465652560815215110779f,\
+75.730663724243640899658f,73.18075490184128284454f,69.053836632519960403442f,\
+62.402765033766627311707f,41.599050164222717285156f,28.105994546785950660706f,\
+5.6220385245978832244873f,58.040395518764853477478f,0.4246918484568595886230f,\
+68.2817161548882722855f,89.133544359356164932251f,92.980264825746417045593f,\
+28.40001545846462249756f,9.885430941358208656311f,41.369083430618047714233f,\
+64.121548598632216453552f,64.692758955061435699463f,47.02662643976509571075f,\
+60.481913108378648757935f,67.138904659077525138855f,71.394702047109603881836f,\
+54.127137595787644386292f,39.052018057554960250854f,1.1089378502219915390015f,\
+90.150084160268306732178f,13.887455360963940620422f,8.5074969567358493804932f,\
+34.66010238043963909149f,42.338709905743598937988f,80.213972786441445351f,\
+31.7881367169320583344f,18.021041667088866233826f,69.688742049038410186768f,\
+35.482168616726994514465f,16.12617420032620429993f,75.34236568026244640350f,\
+62.194181978702545166016f,51.510728383436799049377f,67.819245439022779464722f,\
+61.666865786537528038025f,70.212037675082683563232f,13.621602999046444892883f,\
+60.870522353798151016235f,18.923167092725634574890f,47.614179179072380065918f,\
+17.161004850640892982483f,41.371036972850561141968f,15.31781828962266445160f,\
+22.868881560862064361572f,95.856341393664479255676f,39.499193150550127029419f,\
+2.500818995758891106f,44.927055388689041137695f,91.384086245670914649963f,\
+11.012465786188840866089f,74.87958460114896297455f,0.7881646975874900817871f,\
+23.523587780073285102844f,80.106287542730569839478f,65.456348611041903495789f,\
+51.620832458138465881348f,70.271815219894051551819f,5.5151230655610561370850f,\
+62.56400248967111110687f,84.313133545219898223877f,17.294042231515049934387f,\
+41.730730701237916946411f,81.875373004004359245300f,25.327575206756591796875f,\
+86.085468018427491188049f,17.212611716240644454956f,78.060937067493796348572f,\
+13.735765032470226287842f,0.2187759149819612503052f,1.4656470157206058502197f,\
+30.469974083825945854187f,80.307766422629356384277f,99.052629480138421058655f,\
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+33.292300626635551452637f,96.453859517350792884827f,52.920697536319494247437f,\
+7.9968032892793416976929f,75.475437380373477935791f,4.476350219920277596f,\
+84.631874877959489822388f,20.008285669609904289246f,69.44785490632057189941f,\
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+33.848348213359713554382f,89.761531725525856018066f}
+
+#define RESULT {4.3500195892822599574856f,4.378812333443298676627f,5.2946847693089331698957f,\
+5.2279502699832844925254f,2.6068118507181217147206f,4.968022463585481496295f,\
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+3.1514779837977200394050f,4.2950758361772223281605f,5.165197419194649697261f,\
+4.653549840642725143880f,5.035105083560019956224f,5.1107367420045859418565f,\
+4.8673265089936572636020f,4.7228853485288873059744f,3.7698725167565876326137f,\
+5.2281142583800894740875f,5.2311839874435639430317f,5.2740816359097371091025f,\
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+3.5331093207527803912171f,4.9851649496034715625115f,5.1581342419725935144470f,\
+0.9450506373811344840163f,4.8685813827251553931319f,4.4367163112396088564537f,\
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+4.4813909798397162376205f,0.4257373352329655857851f,3.7070996451820255046528f,\
+5.1406738437618608728030f,4.3648993866947414232982f,5.2737219653314042489001f,\
+2.820201721217977297584f,3.8451912168199942065883f,4.5724793527790357217100f,\
+4.1982477070823893683382f,5.2621850617105074832125f,4.661852422144622920541f,\
+2.7682565538529817494862f,5.0169105620070073570105f,2.1792385497944919414692f,\
+5.131423242241443638534f,3.6886685835548016498819f,4.9336715234659216378077f,\
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+4.2148191048546337356129f,5.19027265701442619417f}
+
+#define CRIN {0.1483933464623987674713f,0.5565875237807631492615f,0.4628333351574838161469f,\
+0.9158247429877519607544f,0.0444016349501907825470f,0.8175177471712231636047f,\
+0.5320580708794295787811f,0.2989391684532165527344f,0.5029047676362097263336f,\
+0.4266923693940043449402f,0.3965902938507497310638f,0.7440190296620130538940f,\
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+0.2953372262418270111084f,0.1075767637230455875397f,0.7572548976168036460876f,\
+0.93660886352881789207f,0.7694978956133127212524f,0.0902581927366554737091f,\
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+0.5946544189937412738800f,0.9080675477162003517151f,0.992223232518881559372f,\
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+0.3892059125937521457672f,0.2907031057402491569519f,0.4209313853643834590912f,\
+0.9504273366183042526245f,0.482190326321870088577f,0.2289973804727196693420f,\
+0.2940405677072703838348f,0.6957426778972148895264f,0.9139824123121798038483f,\
+0.2068154653534293174744f,0.6285024262033402919769f,0.4031575415283441543579f,\
+0.3064021435566246509552f,0.3148818286135792732239f,0.7400112929753959178925f,\
+0.8853011503815650939941f,0.788494529668241739273f,0.8977585239335894584656f,\
+0.0339450328610837459564f,0.8802101369947195053101f,0.5418177028186619281769f,\
+0.9511840576305985450745f,0.5574890668503940105438f,0.1312845982611179351807f,\
+0.9453403786756098270416f,0.2518341308459639549255f,0.2607447705231606960297f,\
+0.1215410251170396804810f,0.9136986923404037952423f,0.9382542567327618598938f,\
+0.3105722474865615367889f,0.9309121072292327880859f}
+
+#define CIIN {0.5225624092854559421539f,0.7617142526432871818542f,0.3009174778126180171967f,\
+0.1853434126824140548706f,0.5148605112917721271515f,0.7257346073165535926819f,\
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+0.41114101978018879890f,0.1586530329659581184387f,0.6542402538470923900604f,\
+0.9449902996420860290527f,0.400338994804769754410f,0.9679889930412173271179f,\
+0.32740902295336127281f,0.8933845367282629013062f,0.6218692888505756855011f,\
+0.0985169494524598121643f,0.7449700380675494670868f,0.3134250529110431671143f,\
+0.1409188793040812015533f,0.3239218806847929954529f,0.9958796552382409572601f,\
+0.2412899602204561233521f,0.4753343504853546619415f,0.9194070147350430488586f,\
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+0.1021917951293289661407f,0.7161553995683789253235f,0.4527317988686263561249f,\
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+0.6485677706077694892883f,0.5304958778433501720428f,0.6958626955747604370117f,\
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+0.2658497532829642295837f,0.9480321384035050868988f,0.2326095197349786758423f,\
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+0.0354842916131019592285f,0.6607114099897444248199f,0.0879401965066790580750f,\
+0.8046676008962094783783f,0.212315237149596214294f,0.9163186331279575824738f,\
+0.9393384093418717384338f,0.3174265320412814617157f,0.9574301876127719879150f,\
+0.7951935962773859500885f,0.3240787154063582420349f,0.0472964248619973659515f,\
+0.1696171183139085769653f,0.7654392314143478870392f,0.2554624872282147407532f,\
+0.1189010548405349254608f,0.7469239532947540283203f,0.0616608508862555027008f,\
+0.1056091515347361564636f,0.1581688239239156246185f,0.9732552450150251388550f,\
+0.8786917333491146564484f,0.1824825564399361610413f,0.9303942839615046977997f,\
+0.4655157290399074554443f,0.5399280847050249576569f,0.9143392136320471763611f,\
+0.0622840351425111293793f,0.6500507537275552749634f,0.2340233740396797657013f,\
+0.3603484155610203742981f,0.1917369994334876537323f,0.2371335849165916442871f,\
+0.4136920445598661899567f,0.2661342276260256767273f,0.3891090690158307552338f,\
+0.6622495856136083602905f,0.4503725995309650897980f,0.3829893553629517555237f,\
+0.1937121297232806682587f,0.9629272706806659698486f,0.6385000632144510746002f,\
+0.2695108866319060325623f,0.1092974594794213771820f,0.0598662365227937698364f,\
+0.1431378168053925037384f,0.2944079088047146797180f,0.9022735017351806163788f,\
+0.9111119657754898071289f,0.9847188093699514865875f,0.0592310009524226188660f,\
+0.5464080139063298702240f,0.5080275069922208786011f,0.6546461437828838825226f,\
+0.9597736010327935218811f,0.1577645908109843730927f,0.1818120293319225311279f,\
+0.4555030376650393009186f,0.1048952480778098106384f,0.7636235631071031093597f,\
+0.1893162522464990615845f,0.1596221593208611011505f,0.3115166993811726570129f,\
+0.2491372707299888134003f,0.0469047501683235168457f,0.0797643386758863925934f,\
+0.3945369226858019828796f,0.3254697113297879695892f,0.5811151321977376937866f,\
+0.1456566532142460346222f,0.4704219633713364601135f,0.8631705637089908123016f,\
+0.1648640967905521392822f,0.0801398889161646366119f,0.4932156866416335105896f,\
+0.4345335862599313259125f,0.1079503614455461502075f,0.2686753761954605579376f,\
+0.7417223947122693061829f,0.4086893904022872447968f,0.6706044673919677734375f,\
+0.4159612008370459079742f,0.4766113189980387687683f,0.4431825890205800533295f,\
+0.6688354592770338058472f,0.5834077899344265460968f,0.4861929873004555702209f,\
+0.715783319901674985886f,0.1403244398534297943115f}
+
+#define CRRESULT {0.5053397031743451783825f,0.7650083608446867078356f,0.3289296819323739295982f,\
+0.3563456766158749622342f,0.4948207655225617118688f,0.8169593462846268527855f,\
+0.7132198900639351579755f,0.5570137230416445373038f,0.7685376318852206178889f,\
+0.3559803193123551312560f,0.4189790595413633300659f,0.8813522345691391368661f,\
+0.5405451162482487470484f,0.1905551975849387180695f,0.6493731034151291048317f,\
+0.8578709195697519218626f,0.3922142862720902067863f,0.9642946930057294530059f,\
+0.5389615746319644795648f,0.9186094888728127960675f,0.5890418064066422765279f,\
+0.1113977102429560134267f,0.7345860770241963155769f,0.3799876579856086289411f,\
+0.1619970506356118999935f,0.51382943864194075001f,0.9605702232101991366875f,\
+0.2552214504374311077051f,0.5588288246069162967800f,0.8545155572742579863643f,\
+0.0482073009402987154304f,0.8701819105023789191478f,0.9267094766915666692597f,\
+0.3583874762657675017152f,0.5394241582016752190043f,1.0267057888096897677599f,\
+0.3962322220487046187110f,0.8200372580795054489045f,0.5035682683774097556650f,\
+0.1218215489911998739014f,0.1217295472085216101465f,0.5645974853924803360528f,\
+0.6787204142960019392916f,0.4641409785094591788912f,0.8320374579652175528466f,\
+0.5202648072575078996849f,0.5635084163999081185992f,0.4608376215542885900867f,\
+0.6521335567127740651117f,0.3901559225476997627702f,0.7433295520896158192770f,\
+0.3414853587252406064145f,0.7876437052847802267053f,0.0156079448330699189357f,\
+0.0195753850507095344957f,0.0445351746116087257588f,0.5619901990592348628439f,\
+0.7563216032216260042986f,0.8953230010983072029163f,0.5250759023565449989945f,\
+0.1262270783291525866332f,0.8463340938014771719367f,0.6903512283163251161966f,\
+0.3002023271844543317322f,0.1665929038330317135674f,0.8881085995755062523216f,\
+0.3450945758035259824936f,0.5168125326109850314893f,0.0400767031552608649081f,\
+0.4881659313644853837033f,0.8717577944100705078512f,0.3559191435167290418207f,\
+0.0423384874325624382951f,0.8962569818869624560520f,0.0792669980362326609402f,\
+0.2149514867261388406661f,0.3084002596083564862184f,0.1457610223920582370738f,\
+0.5638322964331675679617f,0.6681928703809085767773f,0.7715309042125101379739f,\
+0.3644939000586688848671f,0.7241095709372292743566f,0.5109856481565466790329f,\
+0.7492592023075983487246f,0.0935322123614654998836f,0.6873609600399674945947f,\
+0.4653574362777189166174f,0.2834338708350941926639f,0.1139584955905696417311f,\
+0.6886187601911135658384f,0.8966624572124947123442f,0.8901159605244814976288f,\
+0.6621780758434868685569f,0.5739364819547106977282f,0.7967040377802739881119f,\
+0.7702556784014074064970f,0.2963495189276508789966f,0.729639913718978516677f,\
+0.1199467917211827494572f,0.8369585267706058928638f,0.7130151705637984838049f,\
+0.9564173315765011063050f,0.2362741844905166255231f,0.3829952297292640861492f,\
+0.3854654409071321952140f,0.9956878617898979877410f,0.2388852521695121466916f,\
+0.0357548125472270175718f,0.8344528446849692748799f,0.4908081134490644426016f,\
+0.1072298401775326898155f,0.7292248632489435333781f,0.1444440063075330404896f,\
+0.7618560442692507983509f,0.3014073074948313002430f,0.8338433864005018181231f,\
+1.013809216729007589564f,0.4488437286282063176657f,0.9028988520348978363828f,\
+0.7342748763980897486192f,0.5492704923146081164020f,0.0619250478958671968233f,\
+0.1747947745500638971894f,0.7643392221916658346714f,0.2869233753851287982428f,\
+0.1186438529044472750540f,0.7261517086175122148717f,0.1110167797262640587697f,\
+0.1156665104854840142590f,0.1677179018762894047168f,0.9049771869312485117476f,\
+0.8140692858573190804350f,0.1865250841653489921601f,0.8328626043313867022277f,\
+0.4511026850510220786994f,0.5511713324178673101272f,1.0040394102716723168101f,\
+0.1134432764930088655131f,0.7136163206069113806862f,0.2389915016256592694699f,\
+0.5061510239067475991348f,0.1938531425179492451161f,0.267912781705172242663f,\
+0.594520593176991907214f,0.4421595740617755287971f,0.3838580911610497414799f,\
+0.6265966551277006857390f,0.4892019455111443759776f,0.5371648663643865395656f,\
+0.2336644699290637006150f,0.8580649693764487162539f,0.7447932141471096390006f,\
+0.30664577808112553070f,0.1126796888171682081703f,0.0673404850217956818526f,\
+0.3780061914448271664924f,0.3135468248495265064513f,0.8141814149801622768621f,\
+0.8656800272972641208113f,1.0330415543607425199468f,0.1517147576472806791426f,\
+0.6107832692276639052764f,0.5555300503019462432519f,0.6621194316643849164805f,\
+0.9359383537376269046604f,0.1578266511911156633197f,0.3288869400610432980336f,\
+0.4688911283964798393242f,0.1093517544178844447256f,0.7390278072154514710235f,\
+0.3915656081630794482784f,0.1803516698292359499156f,0.3140185989593758941751f,\
+0.2570435038916802361619f,0.0651252572213311814453f,0.1812803236410877871787f,\
+0.3918987512324060840108f,0.3907169202420177067658f,0.5847178774812699098007f,\
+0.1522469534945809221949f,0.4726351219523636792985f,0.8890284419930043480207f,\
+0.3043305148205690535690f,0.1282404489119809976039f,0.6689999411776240689775f,\
+0.4220981761434796641907f,0.2107039270298768085521f,0.3089304668962193911597f,\
+0.8825265124364938262858f,0.4570764804119011315287f,0.6317437032300170507426f,\
+0.6289949625530589782940f,0.4716158816756069738219f,0.4417016096894970100806f,\
+0.6297964082740089564183f,0.7506329678118981441060f,0.6853639001045995771122f,\
+0.6844909750084481325771f,0.3028385676048351293765f}
+
+#define CIRESULT {1.4391441245686327210507f,1.130955515640670316913f,1.1164484564631134144719f,\
+0.5343429881094952094145f,1.5313159234681512632648f,0.9218282568507811802760f,\
+1.1368031918334591257036f,1.309961324172885133166f,1.1768313149474189938104f,\
+1.1581725732800560724201f,1.198068547194847122128f,1.0167778558643913999759f,\
+0.8107284978807606234952f,0.9747572654361357225028f,1.2226962809307837520834f,\
+1.356863284326968122073f,1.4708283871101888173882f,1.0424189614104724110888f,\
+0.6175483783889722522176f,1.012434899444895508580f,1.4941377955828787360559f,\
+1.081247186686038253001f,1.189977918876721885155f,0.9361970185325101390106f,\
+1.0473314366303878575337f,0.6478815708564551467674f,1.103880390282215628872f,\
+1.208902068619972958174f,0.9405460211534443226711f,1.2708555309086870810376f,\
+1.2048457921815343141247f,1.0386992340805454304586f,0.9940470159552662332558f,\
+0.4129471251607437776165f,1.0483368304459323994138f,0.9626808065085141752348f,\
+0.9866797451792658213421f,1.2893127532844186333705f,0.6333368050416610106623f,\
+1.3849939050391590900091f,0.8412033774271403530065f,1.3484185557182311043789f,\
+0.6561721869869621137639f,0.8152667302376208624537f,0.8942162872449925803409f,\
+0.7354476761871528989190f,1.2302184692777484720239f,1.1419032200306009627866f,\
+0.8136425490751511002685f,1.0585917357001826122342f,1.5562281161680697749716f,\
+1.3215709464122720184776f,1.0936282246933759498830f,1.562690430228121041267f,\
+1.5431569076078051061529f,1.5549621593607869662890f,0.7985043985204253180754f,\
+1.3827954341839958640747f,1.3338048203354757603734f,1.1992311317991326546917f,\
+0.9398015526727905299964f,0.8526323846859752420002f,0.6516084904889641871151f,\
+0.9312161189612270240090f,1.4928235928235611407189f,1.1434135639085114544145f,\
+1.3304436504678796016066f,1.0279557218905930326969f,1.5707583700301124274290f,\
+1.18264027414866035315f,1.049240570305455033662f,1.1438977350867394200407f,\
+0.8645410048697405036577f,1.272544314036070156604f,1.2965854453389789036066f,\
+1.5441276936419627840991f,0.8474785980812834518261f,1.4222542688372477037717f,\
+1.1067340541491283989473f,0.6658230283826037654293f,0.7440600810961385258580f,\
+1.509454955782236762474f,0.7139904083352976993382f,1.3343109319103572119047f,\
+0.8754276015708571945240f,1.4375430902494801266300f,0.8182153660902479197503f,\
+0.6279916190243797213810f,1.3777792247900606525945f,1.5570776874524723254467f,\
+1.3896877170114805277734f,1.292290381577097857502f,0.9513544490495031702437f,\
+1.146595322853661613749f,1.0663673649265974496814f,0.9066444651210990857138f,\
+0.7936124351430207113367f,1.1025133400691302654195f,0.7646931356316959416120f,\
+1.3570006423237950254901f,1.0127507430242304042878f,0.6984070724030820853656f,\
+0.9777377069899801931285f,0.6381815285628557044006f,1.4447151619316793702552f,\
+0.7381184252357657626931f,0.9463444174447509515957f,1.3036540993301888313738f,\
+0.3993509460349408124458f,1.4425649666003559357108f,1.2703537792660923866350f,\
+0.3366052452908819825339f,0.9799364183556658058905f,0.6519110571169279833015f,\
+1.288935099739083156578f,0.766834829952783847418f,1.3765235555687964641436f,\
+0.9026821267000586512808f,0.7532458865053713870097f,1.1915253215495016370085f,\
+1.4398661339551832583084f,0.5960292480319858698934f,0.8683763627836410536887f,\
+1.307183356265154250409f,1.1437419441048803925298f,1.0721920855425228769064f,\
+1.5518517938677236500666f,1.2329687641584510249260f,0.5874976025749066854686f,\
+1.1457409989520814797004f,1.2187173974473419768572f,1.2272326680013900812583f,\
+1.3202499364548996307889f,1.3364966855772182352524f,1.5028659601895917319325f,\
+1.5039244799556488185743f,1.199080874147727016066f,0.8850027352965960103504f,\
+0.5797999065603636204003f,0.9935513093218836244702f,1.3250345117052622079257f,\
+0.7510747251416685088543f,1.3856864393507652977178f,1.0646397833458374204696f,\
+0.7161423103150551527918f,0.6220745390646167383153f,1.4237426982899421545881f,\
+1.4349026977530163762253f,1.0862935323189089054097f,0.7475103036060971595234f,\
+0.9640755596017442918821f,1.4756182374730877349123f,0.8992686396344509169865f,\
+1.0456992348735927311765f,1.316872193719026640224f,1.0937098269572853581622f,\
+0.3787889502350130777053f,1.1777575502770252224849f,1.466927792635024818679f,\
+1.198998549247170863907f,0.9317214709279717510526f,0.3994553068013038665818f,\
+0.9996993047110468433303f,1.0533682169916682713762f,1.1680862767422879322510f,\
+1.0968093743281353003027f,1.475564759332087749755f,0.5739680940616843640711f,\
+1.2132055498728515630091f,1.277641763762892734846f,1.2372616699165408515881f,\
+0.4908185034943345348424f,1.0764535824324550361553f,1.3508749145869605179371f,\
+1.282220574891209663448f,0.8033914160655766245611f,0.4529330910646225394345f,\
+1.3777085436870080137339f,0.9478851551815749010288f,1.2208388985822435923723f,\
+1.263077873207383738929f,1.284175149159334061721f,1.023436357706823729430f,\
+0.5626793926847969418148f,0.6728398111486185717567f,0.7545922256887819257187f,\
+1.5396608871785673056110f,0.5335122401588628937574f,1.0275094129340511805992f,\
+0.8338356239168208672297f,1.0426578447465559840168f,1.4617456602888381222982f,\
+0.6682797094798482717692f,1.3426136823908161321839f,1.3312882615539098907220f,\
+1.4697575902556172522395f,0.7877417380659905710161f,0.7165102522491650915981f,\
+1.3183788402186256139004f,0.4738958779540429211430f}
+
+
+void sacoshsTest(void) {
+ float In[]=IN;
+ float Res[]=RESULT;
+ float out;
+ int i = 0;
+
+ for (i=0;i<200;i++){
+ if (In[i]<1) assert(1);
+ else {
+ out = sacoshs(In[i]);
+ assert ( ( fabs(out-Res[i]) / fabs(out) ) <1e-6);
+ }
+ }
+}
+
+void cacoshsTest(void) {
+ float InR[]=CRIN;
+ float InI[]=CIIN;
+ float ResR[]=CRRESULT;
+ float ResI[]=CIRESULT;
+ int i=0;
+ floatComplex in,out;
+
+ for (i=0;i<200;i++){
+ in=FloatComplex(InR[i],InI[i]);
+ out=cacoshs(in);
+ assert( ( fabs(creals(out)-ResR[i]) / fabs(creals(out)) ) <1e-6);
+ assert( ( fabs(cimags(out)-ResI[i]) / fabs(cimags(out)) ) <1e-6);
+ }
+}
+
+void sacoshaTest(void) {
+ float In[]=IN;
+ float Res[]=RESULT;
+ float out[200],in[200];
+ int i = 0;
+
+ for (i=0;i<200;i++){
+ in[i]=In[i];
+ }
+
+ sacosha(in,200,out);
+ for (i=0;i<200;i++){
+ if (isnan(out[i])) assert(1);
+ else{
+ assert ( ( fabs(out[i]-Res[i]) / fabs(out[i]) ) <1e-6);
+ }
+ }
+}
+
+void cacoshaTest(void) {
+ float InR[]=CRIN;
+ float InI[]=CIIN;
+ float ResR[]=CRRESULT;
+ float ResI[]=CIRESULT;
+ int i=0;
+ floatComplex in[200],out[200];
+
+ for (i=0;i<200;i++){
+ in[i]=FloatComplex(InR[i],InI[i]);
+ }
+ cacosha(in,200,out);
+ for (i=0;i<200;i++){
+ assert( ( fabs(creals(out[i])-ResR[i]) / fabs(creals(out[i])) ) <1e-6);
+ assert( ( fabs(cimags(out[i])-ResI[i]) / fabs(cimags(out[i])) ) <1e-6);
+ }
+}
+
+int testAcosh(void) {
+ printf("\n>>>> Float Hyperbolic ArcCosine Tests\n");
+ sacoshsTest();
+ cacoshsTest();
+ sacoshaTest();
+ cacoshaTest();
+ return 0;
+}
+
+int main(void) {
+ assert(testAcosh() == 0);
+ return 0;
+}
diff --git a/2.3-1/src/c/elementaryFunctions/acosh/test_FloatAcosh/testFloatAcosh.vcxproj b/2.3-1/src/c/elementaryFunctions/acosh/test_FloatAcosh/testFloatAcosh.vcxproj new file mode 100644 index 00000000..9e4fef1a --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/acosh/test_FloatAcosh/testFloatAcosh.vcxproj @@ -0,0 +1,178 @@ +<?xml version="1.0" encoding="utf-8"?>
+<Project DefaultTargets="Build" ToolsVersion="4.0" xmlns="http://schemas.microsoft.com/developer/msbuild/2003">
+ <ItemGroup Label="ProjectConfigurations">
+ <ProjectConfiguration Include="Debug|Win32">
+ <Configuration>Debug</Configuration>
+ <Platform>Win32</Platform>
+ </ProjectConfiguration>
+ <ProjectConfiguration Include="Debug|x64">
+ <Configuration>Debug</Configuration>
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The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "acosh.h" + +void zacosha(doubleComplex* x, int size, doubleComplex* y) { + int i = 0; + for (i = 0; i < size; ++i) { + y[i] = zacoshs(x[i]); + } +} diff --git a/2.3-1/src/c/elementaryFunctions/acosh/zacoshs.c b/2.3-1/src/c/elementaryFunctions/acosh/zacoshs.c new file mode 100644 index 00000000..3bb3b25a --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/acosh/zacoshs.c @@ -0,0 +1,33 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2007-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +/* +// METHOD +// based on the formula : +// +// acosh(z) = sign(-imag(acos(z)) i acos(z) +// +// sign(x) = 1 if x >= 0 +// | -1 if x < 0 +*/ + +#include "acosh.h" +#include "acos.h" + +#define localSign(x) x >= 0 ? 1.0 : -1.0 + +doubleComplex zacoshs(doubleComplex z) { + doubleComplex acos_z = zacoss(z); + double sign = localSign(-zimags(acos_z)); + + return DoubleComplex(-sign * zimags(acos_z), sign * zreals(acos_z)); +} diff --git a/2.3-1/src/c/elementaryFunctions/asin/Makefile.am b/2.3-1/src/c/elementaryFunctions/asin/Makefile.am new file mode 100644 index 00000000..0a8ab05a --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/asin/Makefile.am @@ -0,0 +1,72 @@ +## +## Scilab ( http://www.scilab.org/ ) - This file is part of Scilab +## Copyright (C) 2007-2008 - INRIA - Bruno JOFRET +## +## This file must be used under the terms of the CeCILL. +## This source file is licensed as described in the file COPYING, which +## you should have received as part of this distribution. The terms +## are also available at +## http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt +## +## + +libAsin_la_CFLAGS = -I $(top_builddir)/src/c/type \ + -I $(top_builddir)/src/c/elementaryFunctions/includes \ + -I $(top_builddir)/src/c/auxiliaryFunctions/includes + +instdir = $(top_builddir)/lib + +pkglib_LTLIBRARIES = libAsin.la + +libAsin_la_SOURCES = $(HEAD) $(SRC) + +SRC = sasins.c \ + dasins.c \ + casins.c \ + zasins.c \ + sasina.c \ + dasina.c \ + casina.c \ + zasina.c + +HEAD = ../includes/asin.h + + +#### +# Checking Part +#### + +check_INCLUDES = -I $(top_builddir)/src/c/elementaryFunctions/includes \ + -I $(top_builddir)/src/c/auxiliaryFunctions/includes \ + -I $(top_builddir)/src/c/type + +check_LDADD = $(top_builddir)/src/c/type/libDoubleComplex.la \ + $(top_builddir)/src/c/type/libFloatComplex.la \ + $(top_builddir)/src/c/operations/addition/libAddition.la \ + $(top_builddir)/src/fortran/lapack/libscilapack.la \ + $(top_builddir)/src/fortran/blas/libsciblas.la \ + 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install-exec-am +install-data: install-data-am +uninstall: uninstall-am + +install-am: all-am + @$(MAKE) $(AM_MAKEFLAGS) install-exec-am install-data-am + +installcheck: installcheck-am +install-strip: + $(MAKE) $(AM_MAKEFLAGS) INSTALL_PROGRAM="$(INSTALL_STRIP_PROGRAM)" \ + install_sh_PROGRAM="$(INSTALL_STRIP_PROGRAM)" INSTALL_STRIP_FLAG=-s \ + `test -z '$(STRIP)' || \ + echo "INSTALL_PROGRAM_ENV=STRIPPROG='$(STRIP)'"` install +mostlyclean-generic: + +clean-generic: + +distclean-generic: + -test -z "$(CONFIG_CLEAN_FILES)" || rm -f $(CONFIG_CLEAN_FILES) + -test . = "$(srcdir)" || test -z "$(CONFIG_CLEAN_VPATH_FILES)" || rm -f $(CONFIG_CLEAN_VPATH_FILES) + +maintainer-clean-generic: + @echo "This command is intended for maintainers to use" + @echo "it deletes files that may require special tools to rebuild." +clean: clean-am + +clean-am: clean-checkPROGRAMS clean-generic clean-libtool \ + clean-pkglibLTLIBRARIES mostlyclean-am + +distclean: distclean-am + -rm -rf ./$(DEPDIR) + -rm -f Makefile +distclean-am: clean-am distclean-compile distclean-generic \ + distclean-tags + +dvi: dvi-am + +dvi-am: + +html: html-am + +html-am: + +info: info-am + +info-am: + +install-data-am: + +install-dvi: install-dvi-am + +install-dvi-am: + +install-exec-am: install-pkglibLTLIBRARIES + +install-html: install-html-am + +install-html-am: + +install-info: install-info-am + +install-info-am: + +install-man: + +install-pdf: install-pdf-am + +install-pdf-am: + +install-ps: install-ps-am + +install-ps-am: + +installcheck-am: + +maintainer-clean: maintainer-clean-am + -rm -rf ./$(DEPDIR) + -rm -f Makefile +maintainer-clean-am: distclean-am maintainer-clean-generic + +mostlyclean: mostlyclean-am + +mostlyclean-am: mostlyclean-compile mostlyclean-generic \ + mostlyclean-libtool + +pdf: pdf-am + +pdf-am: + +ps: ps-am + +ps-am: + +uninstall-am: uninstall-pkglibLTLIBRARIES + +.MAKE: check-am install-am install-strip + +.PHONY: CTAGS GTAGS all all-am check check-TESTS check-am clean \ + clean-checkPROGRAMS clean-generic clean-libtool \ + clean-pkglibLTLIBRARIES ctags distclean distclean-compile \ + distclean-generic distclean-libtool distclean-tags distdir dvi \ + dvi-am html html-am info info-am install install-am \ + install-data install-data-am install-dvi install-dvi-am \ + install-exec install-exec-am install-html install-html-am \ + install-info install-info-am install-man install-pdf \ + install-pdf-am install-pkglibLTLIBRARIES install-ps \ + install-ps-am install-strip installcheck installcheck-am \ + installdirs maintainer-clean maintainer-clean-generic \ + mostlyclean mostlyclean-compile mostlyclean-generic \ + mostlyclean-libtool pdf pdf-am ps ps-am tags uninstall \ + uninstall-am uninstall-pkglibLTLIBRARIES + + +# Tell versions [3.59,3.63) of GNU make to not export all variables. +# Otherwise a system limit (for SysV at least) may be exceeded. +.NOEXPORT: diff --git a/2.3-1/src/c/elementaryFunctions/asin/casina.c b/2.3-1/src/c/elementaryFunctions/asin/casina.c new file mode 100644 index 00000000..9433290e --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/asin/casina.c @@ -0,0 +1,20 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2007-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "asin.h" + +void casina(floatComplex* x, int size, floatComplex* y) { + int i = 0; + for (i = 0; i < size; ++i) { + y[i] = casins(x[i]); + } +} diff --git a/2.3-1/src/c/elementaryFunctions/asin/casins.c b/2.3-1/src/c/elementaryFunctions/asin/casins.c new file mode 100644 index 00000000..35a4a8d8 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/asin/casins.c @@ -0,0 +1,146 @@ +/*
+ * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
+ * Copyright (C) 2008-2008 - INRIA - Bruno JOFRET
+ * Copyright (C) Bruno Pincon
+ *
+ * This file must be used under the terms of the CeCILL.
+ * This source file is licensed as described in the file COPYING, which
+ * you should have received as part of this distribution. The terms
+ * are also available at
+ * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt
+ *
+ */
+
+/*
+ * REFERENCE
+ * This is a Fortran-77 translation of an algorithm by
+ * T.E. Hull, T. F. Fairgrieve and P.T.P. Tang which
+ * appears in their article :
+ * "Implementing the Complex Arcsine and Arccosine
+ * Functions Using Exception Handling", ACM, TOMS,
+ * Vol 23, No. 3, Sept 1997, p. 299-335
+ * Thanks to Tom Fairgrieve
+ */
+
+#include "lapack.h"
+#include "asin.h"
+#include "atan.h"
+#include "sqrt.h"
+#include "abs.h"
+#include "log.h"
+#include "log1p.h"
+#include "min.h"
+#include "max.h"
+
+floatComplex casins(floatComplex z) {
+ static float sdblPi_2 = 1.5707963267948966192313216f;
+ static float sdblLn2 = 0.6931471805599453094172321f;
+ static float sdblAcross = 1.5f;
+ static float sdblBcross = 0.6417f;
+
+ float dblLsup = ssqrts((float) getOverflowThreshold())/ 8.0f;
+ float dblLinf = 4.0f * ssqrts((float) getUnderflowThreshold());
+ float dblEpsm = ssqrts((float) getRelativeMachinePrecision());
+
+ float _dblReal = creals(z);
+ float _dblImg = cimags(z);
+
+ float dblAbsReal = sabss(_dblReal);
+ float dblAbsImg = sabss(_dblImg);
+ float iSignReal = _dblReal < 0 ? -1.0f : 1.0f;
+ float iSignImg = _dblImg < 0 ? -1.0f : 1.0f;
+
+ float dblR = 0, dblS = 0, dblA = 0, dblB = 0;
+
+ float dblTemp = 0;
+
+ float _pdblReal = 0;
+ float _pdblImg = 0;
+
+ if( min(dblAbsReal, dblAbsImg) > dblLinf && max(dblAbsReal, dblAbsImg) <= dblLsup)
+ {
+ /* we are in the safe region */
+ dblR = ssqrts( (dblAbsReal + 1) * (dblAbsReal + 1) + dblAbsImg * dblAbsImg);
+ dblS = ssqrts( (dblAbsReal - 1) * (dblAbsReal - 1) + dblAbsImg * dblAbsImg);
+ dblA = (float) 0.5 * ( dblR + dblS );
+ dblB = dblAbsReal / dblA;
+
+
+ /* compute the real part */
+ if(dblB <= sdblBcross)
+ _pdblReal = sasins(dblB);
+ else if( dblAbsReal <= 1)
+ _pdblReal = satans(dblAbsReal / ssqrts( 0.5f * (dblA + dblAbsReal) * ( (dblAbsImg * dblAbsImg) / (dblR + (dblAbsReal + 1)) + (dblS + (1 - dblAbsReal)))));
+ else
+ _pdblReal = satans(dblAbsReal / (dblAbsImg * ssqrts( 0.5f * ((dblA + dblAbsReal) / (dblR + (dblAbsReal + 1)) + (dblA + dblAbsReal) / (dblS + (dblAbsReal-1))))));
+
+ /* compute the imaginary part */
+ if(dblA <= sdblAcross)
+ {
+ float dblImg1 = 0;
+
+ if(dblAbsReal < 1)
+ /* Am1 = 0.5d0*((y**2)/(R+(x+1.d0))+(y**2)/(S+(1.d0-x))) */
+ dblImg1 = 0.5f * (dblAbsImg * dblAbsImg / (dblR + (dblAbsReal + 1)) + dblAbsImg * dblAbsImg / (dblS + (1 - dblAbsReal)));
+ else
+ /* Am1 = 0.5d0*((y**2)/(R+(x+1.d0))+(S+(x-1.d0))) */
+ dblImg1 = 0.5f * (dblAbsImg * dblAbsImg / (dblR + (dblAbsReal + 1)) + (dblS + (dblAbsReal - 1)));
+ /* ai = logp1(Am1 + sqrt(Am1*(A+1.d0))) */
+ dblTemp = dblImg1 + ssqrts(dblImg1 * (dblA + 1));
+ _pdblImg = slog1ps(dblTemp);
+ }
+ else
+ /* ai = log(A + sqrt(A**2 - 1.d0)) */
+ _pdblImg = slogs(dblA + ssqrts(dblA * dblA - (float) 1.0));
+ }
+ else
+ {
+ /* evaluation in the special regions ... */
+ if(dblAbsImg <= dblEpsm * dabss(dblAbsReal - 1))
+ {
+ if(dblAbsReal < 1)
+ {
+ _pdblReal = sasins(dblAbsReal);
+ _pdblImg = dblAbsImg / ssqrts((1 + dblAbsReal) * (1 - dblAbsReal));
+ }
+ else
+ {
+ _pdblReal = sdblPi_2;
+ if(dblAbsReal <= dblLsup)
+ {
+ dblTemp = (dblAbsReal - 1) + ssqrts((dblAbsReal - 1) * (dblAbsReal + 1));
+ _pdblImg = slog1ps(dblTemp);
+ }
+ else
+ _pdblImg = sdblLn2 + slogs(dblAbsReal);
+ }
+ }
+ else if(dblAbsImg < dblLinf)
+ {
+ _pdblReal = sdblPi_2 - ssqrts(dblAbsImg);
+ _pdblImg = ssqrts(dblAbsImg);
+ }
+ else if((dblEpsm * dblAbsImg - 1 >= dblAbsReal))
+ {
+ _pdblReal = dblAbsReal * dblAbsImg;
+ _pdblImg = sdblLn2 + slogs(dblAbsReal);
+ }
+ else if(dblAbsReal > 1)
+ {
+ _pdblReal = satans(dblAbsReal / dblAbsImg);
+ dblTemp = (dblAbsReal / dblAbsImg) * (dblAbsReal / dblAbsImg);
+ _pdblImg = sdblLn2 + slogs(dblAbsReal) + 0.5f * slog1ps(dblTemp);
+ }
+ else
+ {
+ float dblTemp2 = ssqrts(1 + dblAbsImg * dblAbsImg);
+ _pdblReal = dblAbsReal / dblTemp2;
+ dblTemp = 2.0f * dblAbsImg * (dblAbsImg + dblTemp2);
+ _pdblImg = 0.5f * slog1ps(dblTemp);
+ }
+ }
+ _pdblReal *= iSignReal;
+ _pdblImg *= iSignImg;
+
+ return (FloatComplex(_pdblReal, _pdblImg));
+}
diff --git a/2.3-1/src/c/elementaryFunctions/asin/dasina.c b/2.3-1/src/c/elementaryFunctions/asin/dasina.c new file mode 100644 index 00000000..beb38d42 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/asin/dasina.c @@ -0,0 +1,20 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2007-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "asin.h" + +void dasina(double* x, int size, double* y) { + int i = 0; + for (i = 0; i < size; ++i) { + y[i] = dasins(x[i]); + } +} diff --git a/2.3-1/src/c/elementaryFunctions/asin/dasins.c b/2.3-1/src/c/elementaryFunctions/asin/dasins.c new file mode 100644 index 00000000..08e524b3 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/asin/dasins.c @@ -0,0 +1,18 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include <math.h> +#include "asin.h" + +double dasins(double x) { + return (asin(x)); +} diff --git a/2.3-1/src/c/elementaryFunctions/asin/sasina.c b/2.3-1/src/c/elementaryFunctions/asin/sasina.c new file mode 100644 index 00000000..d6e76ba3 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/asin/sasina.c @@ -0,0 +1,20 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2007-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "asin.h" + +void sasina(float* x, int size, float* y) { + int i = 0; + for (i = 0; i < size; ++i) { + y[i] = sasins(x[i]); + } +} diff --git a/2.3-1/src/c/elementaryFunctions/asin/sasins.c b/2.3-1/src/c/elementaryFunctions/asin/sasins.c new file mode 100644 index 00000000..63967c27 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/asin/sasins.c @@ -0,0 +1,18 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include <math.h> +#include "asin.h" + +float sasins(float x) { + return (asinf(x)); +} diff --git a/2.3-1/src/c/elementaryFunctions/asin/testAsin.h b/2.3-1/src/c/elementaryFunctions/asin/testAsin.h new file mode 100644 index 00000000..ede65bfc --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/asin/testAsin.h @@ -0,0 +1,41 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2007-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#ifndef _TESTASIN_H_ +#define _TESTASIN_H_ + +#include <stdio.h> +#include <assert.h> +#include <math.h> +#include "asin.h" +#include "constant.h" + + +void sasinsTest(void); + +void dasinsTest(void); + +void casinsTest(void); + +void zasinsTest(void); + +void sasinaTest(void); + +void dasinaTest(void); + +void casinaTest(void); + +void zasinaTest(void); + +int testAsin(void); + +#endif /* ! _TESTASIN_H_ */ diff --git a/2.3-1/src/c/elementaryFunctions/asin/testDoubleAsin.c b/2.3-1/src/c/elementaryFunctions/asin/testDoubleAsin.c new file mode 100644 index 00000000..58149a42 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/asin/testDoubleAsin.c @@ -0,0 +1,495 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "testAsin.h" + +#define SOURCE {0.9356911443173885345459,0.5202743173576891422272,0.8356943717226386070251,\ +0.1390841729007661342621,0.1484344247728586196899,0.5062630889005959033966,\ +0.6569615425541996955872,0.1527653667144477367401,0.2077333852648735046387,\ +0.1310311132110655307770,0.2355898572131991386414,0.9000837444327771663666,\ +0.0360118653625249862671,0.4438733388669788837433,0.2795370602980256080627,\ +0.3609029497019946575165,0.0737524814903736114502,0.8877843604423105716705,\ +0.7357059037312865257263,0.1533541432581841945648,0.2168745566159486770630,\ +0.7783402544446289539337,0.6990017639473080635071,0.6133037763647735118866,\ +0.1271589249372482299805,0.3196897902525961399078,0.2413121340796351432800,\ +0.0203057392500340938568,0.8844696115702390670776,0.7514050160534679889679,\ +0.8791579911485314369202,0.3137878845445811748505,0.4495223872363567352295,\ +0.7199412197805941104889,0.8987670382484793663025,0.1432229257188737392426,\ +0.9059501979500055313110,0.4684562650509178638458,0.2573188217356801033020,\ +0.5960337105207145214081,0.9504154697060585021973,0.9387393021024763584137,\ +0.2791117234155535697937,0.4469828694127500057220,0.5995192881673574447632,\ +0.3789988537319004535675,0.8654018277302384376526,0.2727968390099704265594,\ +0.5822574533522129058838,0.5512602762319147586823,0.4366636639460921287537,\ +0.2757742605172097682953,0.3867734093219041824341,0.1321225953288376331329,\ +0.3260228233411908149719,0.1601287531666457653046,0.4301580488681793212891,\ +0.4006247171200811862946,0.8426104513928294181824,0.9048160626552999019623,\ +0.320046393200755119324,0.8069710140116512775421,0.7235896149650216102600,\ +0.7765955845825374126434,0.6767611466348171234131,0.5158662856556475162506,\ 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+0.4051931219540680362279,0.6019650966008720516243,0.0965255712145899474885,\ +0.3599518411886321600512,0.3243946620517429990649,0.6238620609478121581404,\ +1.1804783562721565814968,0.9088946724537740884386,0.7265514890656400437408,\ +0.407093673069975237055,0.6693775784027574671242,0.1985261923397042549411,\ +0.9367355633059043507060,1.0143322323911900806337,1.199387299048776833743,\ +0.8224738107516712526390,0.7363424248289601736772,0.1551259899908567496674,\ +0.6669785285495629656438,1.289980681935538386895,0.0404065303042144760570,\ +0.0334024783187645626925,0.8548073921139841546690,0.7561744594372630245971,\ +0.4495844069894625594230,0.6403046132494145670222,0.8295822852568314198507,\ +0.4530252724246893181181,0.2107930369382310653581,0.747103346555288094777,\ +0.3631353147252046054128,0.0757405812005388645591,1.1871407475057926816930,\ +0.9874192358186812956689,0.8376237455287295352591,0.5128690395827339987278,\ +0.6635292564994419439728,0.8173250039556049229006,0.6269213761078136215588,\ +1.0418634321911146578543,1.4947401270369859993536,0.1392800314888206769659,\ +0.4175628314057308609897,0.4704260294397792363519,0.29126887742414786509,\ +0.2734108525510542397896,0.2687961431094310627010} + + +#define RSOURCE {0.0100881215184926986694,0.0074436445720493793488,0.2989360922947525978088,\ +0.3327573235146701335907,0.237830940634012222290,0.8535961345769464969635,\ +0.7922197943553328514099,0.9695409736596047878265,0.6468791384249925613403,\ +0.9159972262568771839142,0.7485287981107831001282,0.5446169781498610973358,\ +0.4380150139331817626953,0.8022991069592535495758,0.0770919052883982658386,\ +0.6038356139324605464935,0.0416274946182966232300,0.0491319303400814533234,\ +0.2167323390021920204163,0.5511633078567683696747,0.5648556910455226898193,\ +0.7904387773014605045319,0.8203159859403967857361,0.8707285351119935512543,\ +0.7680293265730142593384,0.9941699919290840625763,0.7653715135529637336731,\ +0.7766020926646888256073,0.0391560420393943786621,0.3610868924297392368317,\ +0.7096323622390627861023,0.1340617476962506771088,0.3352055754512548446655,\ +0.4794248570688068866730,0.9102506125345826148987,0.9960912610404193401337,\ +0.5589408166706562042236,0.3291657851077616214752,0.5254327272996306419373,\ +0.5988637856207787990570,0.3400457371026277542114,0.7296699327416718006134,\ +0.1172471689060330390930,0.1599596398882567882538,0.6893001943826675415039,\ +0.8244171240366995334625,0.5743538914248347282410,0.3230684562586247920990,\ +0.4945516120642423629761,0.1966073368676006793976,0.1734057078137993812561,\ +0.5929257045499980449677,0.3272335343062877655029,0.7093706638552248477936,\ +0.9978715321049094200134,0.6042335904203355312347,0.5281810555607080459595,\ +0.6643366483040153980255,0.4330314965918660163879,0.5683163288049399852753,\ 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+0.1300270427018404006958,0.6536684674210846424103,0.9546198891475796699524,\ +0.3356514233164489269257,0.6098881512880325317383,0.7403389909304678440094,\ +0.4407326159998774528503,0.0114278956316411495209,0.4274448286741971969604,\ +0.4898742889054119586945,0.0670661935582756996155,0.9097212324850261211395,\ +0.9331833533942699432373,0.1665275008417665958405,0.4363766452297568321228,\ +0.1269035614095628261566,0.4618353042751550674438,0.6410199669189751148224,\ +0.5118249626830220222473,0.4726877692155539989471,0.6037398651242256164551,\ +0.6487199389375746250153,0.3443940980359911918640,0.1257671504281461238861,\ +0.1930030044168233871460,0.0536806662566959857941,0.813977831043303012848,\ +0.6546894307248294353485,0.4812035299837589263916,0.2122878567315638065338,\ +0.6028915112838149070740,0.2477151653729379177094} + +#define ISOURCE {0.4653960186988115310669,0.0302665126509964466095,0.1205546753481030464172,\ +0.4954105126671493053436,0.8391606211662292480469,0.8067971416749060153961,\ +0.5980955390259623527527,0.5697243823669850826263,0.535449741408228874207,\ +0.4594913427717983722687,0.0716273644939064979553,0.1432999591343104839325,\ +0.3299815915524959564209,0.2239767671562731266022,0.4729467025026679039001,\ +0.8927706009708344936371,0.4739306215196847915649,0.4218414542265236377716,\ +0.5464035095646977424622,0.9297901126556098461151,0.8246648237109184265137,\ +0.3906875425018370151520,0.8106931401416659355164,0.0035473941825330257416,\ +0.4432799126952886581421,0.1700443555600941181183,0.2843202138319611549377,\ +0.8185154641978442668915,0.1276803798973560333252,0.0368908629752695560455,\ +0.1934843575581908226013,0.3111848584376275539398,0.8499574232846498489380,\ +0.4845375162549316883087,0.3811378227546811103821,0.2295314031653106212616,\ +0.5668137520551681518555,0.7386174597777426242828,0.6359649775549769401550,\ +0.8589683636091649532318,0.3717852663248777389526,0.4039371167309582233429,\ +0.6600336739793419837952,0.2385329673998057842255,0.4580096118152141571045,\ +0.3359361500479280948639,0.8938684901222586631775,0.7110573030076920986176,\ +0.8602916095405817031860,0.3305067983455955982208,0.9176958473399281501770,\ +0.15107359318062663078,0.4452155604958534240723,0.7259225868619978427887,\ +0.6476110024377703666687,0.7142038433812558650970,0.1180544253438711166382,\ +0.5106264133937656879425,0.0454169148579239845276,0.4517838652245700359344,\ +0.7152258791029453277588,0.0306280092336237430573,0.5608849888667464256287,\ +0.6344716749154031276703,0.5510452408343553543091,0.8902607751078903675079,\ +0.0251876907423138618469,0.1285902666859328746796,0.0875252783298492431641,\ +0.1400479921139776706696,0.2142530409619212150574,0.6689547612331807613373,\ +0.6959728877991437911987,0.3454284076578915119171,0.8007909813895821571350,\ +0.3719339291565120220184,0.9791326485574245452881,0.6300911963917315006256,\ +0.9137416174635291099548,0.3324960893951356410980,0.6226272527128458023071,\ +0.2876702961511909961700,0.0238953353837132453918,0.6489893826656043529510,\ +0.2444448098540306091309,0.0555481188930571079254,0.374434794299304485321,\ +0.7194064198993146419525,0.2112230267375707626343,0.6445186366327106952667,\ +0.6751487934961915016174,0.1528833056800067424774,0.8900802619755268096924,\ +0.6180598423816263675690,0.27906801458448171616,0.1401830366812646389008,\ +0.3047434557229280471802,0.2149655860848724842072,0.5602726386860013008118,\ +0.6269132751040160655975,0.6647229343652725219727,0.2090867855586111545563,\ +0.7116218386217951774597,0.133228497114032506943,0.7362840902060270309448,\ +0.3999320124275982379913,0.6811551460996270179749,0.5637665162794291973114,\ +0.523965936154127120972,0.8278774530626833438873,0.4659156939014792442322,\ +0.8515693820081651210785,0.23139653541147708893,0.3077362445183098316193,\ +0.4819453330710530281067,0.7797386529855430126190,0.9701553061604499816895,\ +0.3744371854700148105621,0.2292016251012682914734,0.8245750456117093563080,\ +0.1854322012513875961304,0.2345628221519291400909,0.9701467091217637062073,\ +0.3639524574391543865204,0.2672337628901004791260,0.8174969092942774295807,\ +0.6407580440863966941833,0.0946763656102120876312,0.3158860523253679275513,\ +0.5199312460608780384064,0.7127110259607434272766,0.0025766002945601940155,\ +0.5305844545364379882812,0.7374818869866430759430,0.2254834799095988273621,\ +0.7290844931267201900482,0.1897403579205274581909,0.7771647279150784015656,\ +0.7071320274844765663147,0.67804440064355731010,0.6918747089803218841553,\ +0.2444804669357836246490,0.2024903288111090660095,0.7065096027217805385590,\ +0.6258084420114755630493,0.4988589403219521045685,0.1275391997769474983215,\ +0.7432725760154426097870,0.3388997837901115417480,0.2712128334678709506989,\ +0.1686986042186617851257,0.1788796423934400081635,0.9720784332603216171265,\ +0.0373507668264210224152,0.9457915211096405982971,0.3708799923770129680634,\ +0.4304266162216663360596,0.2409997568465769290924,0.6574296867474913597107,\ +0.1080590835772454738617,0.2580570150166749954224,0.9601870519109070301056,\ +0.4275712119415402412415,0.3774064141325652599335,0.8860375732183456420898,\ +0.1107313432730734348297,0.572000074200332164764,0.2775676711462438106537,\ +0.2221131753176450729370,0.7805933509953320026398,0.5034774849191308021545,\ +0.4225312541238963603973,0.0509742014110088348389,0.7888357848860323429108,\ +0.4943151315674185752869,0.6792991734109818935394,0.2138219568878412246704,\ +0.0629426804371178150177,0.0151202948763966560364,0.5832923236303031444550,\ +0.0359809771180152893066,0.9282481097616255283356,0.8684628410264849662781,\ +0.2752401321195065975189,0.9713082071393728256226,0.90322426753118634224,\ +0.8362140888348221778870,0.3033045823685824871063,0.9321490563452243804932,\ +0.0943789319135248661041,0.0593075519427657127380,0.1341886124573647975922,\ +0.2735903281718492507935,0.7845123005099594593048,0.868671556003391742706,\ +0.7169788884930312633514,0.9007600247859954833984,0.3080832012929022312164,\ +0.2860837308689951896667,0.9434729530476033687592} + +#define RRESULT {0.0091461935615653692372,0.0074403059517685150512,0.3011120408510194468299,\ +0.2998770814044370847107,0.1819248875927510500361,0.6444988336836313669309,\ +0.6791245188293772994115,0.8328839139359748289237,0.5765876696591275551995,\ +0.8504976129204943058326,0.8394277222457392495514,0.5667892427465585081237,\ +0.4244768273740840425212,0.8613255288489666261498,0.0697161665763657567574,\ +0.4438565921449716400460,0.0376207427201287192275,0.0452773943778729953680,\ +0.1905350234324321712087,0.3984765801447008870539,0.4314770699424559374791,\ +0.7678818181682768306828,0.6201489749119961647494,1.056635799167679801158,\ +0.7224469139675204765183,1.1570753191068809950792,0.7891360295709419769850,\ +0.5869418614770346431797,0.0388500272557359208059,0.3691306128445250300807,\ +0.7557159781600413239744,0.1282646090865436350192,0.254601106881209460209,\ +0.4365177363889400918850,0.8917468285467748945194,1.0969945987775304718781,\ +0.4896234023783549438313,0.2644825052430134770809,0.4440381533885026654751,\ +0.4483584089258232929787,0.3221387984110837821028,0.7011289310321348056121,\ +0.0978674265602834936306,0.1561241830600058055900,0.6415261435351872210120,\ +0.8301262834168886550756,0.4226589438886647065452,0.2631688682703156034748,\ +0.3718501469694869832061,0.1874416812787549069252,0.1276292125120765952317,\ +0.6223362931435947320580,0.3011173751873987280980,0.5675795050042053979666,\ +0.8129219748246857557561,0.4890104311779664980619,0.550584097940126637738,\ +0.6003329153401916196131,0.4472450285127820834852,0.5277749449162034700578,\ +0.0337492295725758256753,0.3812817338877603767777,0.8272241071562403957884,\ +0.6236783490132045137955,0.8396686488386544411355,0.5323480108875771055210,\ +1.2121602671977980136830,0.2578891950501832064369,0.2902963532926625123132,\ +1.0407218420407280401463,0.719658282922589376263,0.1422515549798589185038,\ +0.6295643770268913863575,0.6485925881357603728361,0.3247882629711342783452,\ +0.0497195040545942226751,0.3510527044460081680377,0.50563338590045081578,\ +0.3179706585678286345775,0.99285160840273078975,0.7609503370287584722576,\ +0.6176058717047394619470,0.1531988771495936818567,0.2266760787365090790146,\ +0.0415517947772082799074,1.218422457974889017152,0.2526690822330791563743,\ +0.6329425814457148025127,0.7204713317072120037921,0.2231989518352319179506,\ +0.5985707095895493878857,0.2172853881448477131322,0.0593293879714889560439,\ +0.7385713745542424879531,0.7823911147317434977566,0.0289551632441432602039,\ +0.0779646258693818400287,0.8182888473500083970080,0.5715052817983971022997,\ +0.5528641949610285655226,0.2141542425335012378440,0.4153673917132313930800,\ +0.4332354240667932732123,0.5700436227902923036481,0.6908832900189864067997,\ +0.0995605703740609776498,0.6869435543144543077076,0.5227653368830831315250,\ +0.2770997202417057603263,0.5689013982218961151816,0.6692632096949825415422,\ +0.4851064406738322953849,0.7345650510869129456992,0.8789819041715580816287,\ +0.0263110479671970418081,0.4230828882691921033476,0.3752940809060429927513,\ +0.6545085349432201438091,0.2474097208124308444610,0.3590569749582296354973,\ +1.0107395629243736134839,0.2444967346619240644578,0.6498559643022308041083,\ +0.0187681811419864209844,0.0853955435810109381167,0.23858632896482903640,\ +0.0338939736966144267161,0.8239189153398052134492,0.3225505736889286989566,\ +0.6168540121263207387514,0.428433060998039016987,0.5950583374560662885955,\ +0.2394573971728722883157,0.2741095497000874958715,0.0487731652979911251000,\ +0.7269475532699710695894,0.0444861838193508288275,0.4501104783981072499088,\ +0.6528448282940336744318,0.0028372513246705619722,0.4536708244402919421034,\ +0.5336004611058299262893,0.2198360890060693795256,0.5959746705988369086526,\ +0.6396262340663229073456,0.5139896603726894497299,1.0518513414805021888299,\ +0.1644962891003966809489,0.5624905673203877132238,0.6391528366469793054350,\ +0.2879084713580257748333,0.0063726492100631259435,0.2079683900269996554844,\ +0.1617268596829900817458,0.45252598419205131153,0.1042540297218644135269,\ +0.9167320764408587452365,0.7202498119943631094131,0.3747568855205881677151,\ +1.1832506588357394328170,0.8926873380378329558837,0.4837753498734558843530,\ +0.2545199640454580136684,0.1931610886369621860048,0.0735568361645391743942,\ +0.7995145050294805155744,0.8044454260553820512669,0.9085111724757110041040,\ +0.1272278092834613905104,0.5090362502018392909520,0.8578711409272452570463,\ +0.3118078521746414644156,0.6543371722769727449887,0.5706133911152972970626,\ +0.3988750643962680753063,0.0094531166452282121282,0.4291477558442853834642,\ +0.5104896641888095887296,0.0671088543520260150110,0.7800123094015957159186,\ +1.1912011959193866683648,0.12192992647229736192,0.3274120948460061963914,\ +0.1225950921700365431333,0.3281975873099651774822,0.4674494885223512974370,\ +0.3894697523335833855285,0.4641231634718703258358,0.4345931392944782367671,\ +0.6995072076723701792744,0.3508640282412981981075,0.1249574421756384084992,\ +0.1870180747450552183331,0.0422329366873970546425,0.5961240984598299430530,\ +0.5279606410558730367200,0.3544288908497560397493,0.2039132017920733119798,\ +0.6057722587792238044813,0.1797611770377918194441} + +#define IRESULT {0.4500666085684790207466,0.0302627309405466352055,0.1259014236203331582598,\ +0.4977434045460411571327,0.773705242465913545225,0.887900733341152936795,\ +0.7079916425568136828517,0.7688472856787659237554,0.6017352744773040162940,\ +0.6498883599394120746950,0.107039917160296094156,0.1690548918257823163280,\ +0.3546374548515999203246,0.3373847934787007063484,0.4579255569364570899182,\ +0.8732609696455944092719,0.4580771972571195393975,0.4106361461893539566148,\ +0.5311452992294272146268,0.8876026166669700456779,0.8147068623051754165942,\ +0.5194139247849689500214,0.8786785088163897583513,0.0072129604104987166471,\ +0.5609976062745508640361,0.4112823226813016597170,0.3933766150232178571144,\ +0.8693290272249873940,0.1274316261040582265451,0.0395449426043308974177,\ +0.2628191746325336808354,0.3088296914886584088045,0.7926272523547727155702,\ +0.5120084435293993374572,0.5746945549365780614437,0.4839450538685827751806,\ +0.6047355489888047719305,0.7052834690539023787537,0.6561539945033735277136,\ +0.8478769656358153827824,0.3825478020514606614100,0.5066754044490697772574,\ +0.6222644111952397860676,0.2391828028480158796487,0.5443776858218749570284,\ +0.4792822085648152929949,0.86724431342169228110,0.6822409980077328572889,\ +0.8261589834748411798060,0.3303572550644504612904,0.8274965298010771297399,\ +0.1848774585857928254296,0.4507700784722463716037,0.7795271583399024928340,\ +0.8398668346264467343687,0.7396983997066739480175,0.1380866564681807739934,\ +0.5849046253180708587749,0.0503500622675033676634,0.5016357319277500170784,\ +0.6654269099346773463921,0.0329916341046517930247,0.7548317451254575871644,\ +0.7182541963203104007363,0.7522847340656214631949,0.9046859380442064946237,\ +0.0716988879790057820340,0.132599207337852937,0.0912207697238807957429,\ +0.2735698269446988906139,0.2811794411108771152286,0.6327124304403525245633,\ +0.7796338249130402298093,0.4209075105417727225010,0.7673980540361009516914,\ +0.3642835980514441684974,0.9112659650125345400795,0.6691470644846674309392,\ +0.8542200565296905745427,0.5762098993480122555155,0.7786617427494030296842,\ +0.3459141320122436358275,0.0241761593182958818560,0.6246129374546308676841,\ +0.2422787652159511528893,0.1602629717157874056355,0.3776710192863622084225,\ +0.8030895628249021811484,0.2774953901907728504028,0.6203514328186836568335,\ +0.7460670209249947726349,0.1559320495131248929255,0.8026468549051214429468,\ +0.760424886296417135156,0.3839751822834133743179,0.1397861363985309635094,\ +0.3011015740622249303726,0.3095528263794048440261,0.6246974136518177456168,\ +0.6824390801574051756972,0.6364220425441351469686,0.2265745526065163772955,\ +0.7201722295639139126422,0.1575984581645545612449,0.8494571876510255137305,\ +0.3918195908099642577049,0.7946547307771568702250,0.6117848393634578441080,\ +0.5208720859508298994811,0.8690531065973791102763,0.5637323042761468450124,\ +0.8547026638602744919027,0.306960447908322775490,0.4654093394618514789585,\ +0.4651555318578067255153,0.7751475575968125308890,0.9112674172531984861934,\ +0.4560028346615129235531,0.234251732325255618283,0.7944832243829529350165,\ +0.3423334159329023407281,0.239457736168475460170,1.02777275826487124455,\ +0.3564220429250729016424,0.2650952420467553305450,0.7646166714313819001703,\ +0.6037691171359901298743,0.1389158036998756340363,0.3271927879913820724767,\ +0.6006321860598116124663,0.7197540296752282795723,0.0031113959438069660468,\ +0.5221204081389118067946,0.7059634191281195514378,0.2238770907129097598176,\ +0.8641197102092305071253,0.1888045378279312735970,0.7812121068214791241857,\ +0.8015589685608611736356,0.6345893564856053270518,0.7088628827258813824841,\ +0.2802718253544457249760,0.2060232397943899673720,0.7740411253804675428825,\ +0.716974289181374180302,0.5454318495795067445187,0.2544009667091767235014,\ +0.6958995710025659420239,0.3906147496642403682543,0.3317958100335353655019,\ +0.1750450440110335736943,0.1779427350870727009280,0.8767597428372501111582,\ +0.0378355850756998610129,0.9174242179663641971743,0.3647620293190586560073,\ +0.6587619708007782515224,0.3153773564551797248257,0.6579511103942273786416,\ +0.2821737200327205097317,0.4005650534773762538876,0.9399862930023007434599,\ +0.4285643691635598884204,0.3756601850966035938129,0.8002497169354958472809,\ +0.1581953331446839250418,0.7519083154621302167442,0.4373149903759625534150,\ +0.2220927412218937635480,0.804348871566688328,0.7089002298114742695034,\ +0.4305150724386235805419,0.0641995146174158398678,0.8363640441971674777122,\ +0.5135521078813733986124,0.6356504507416418370269,0.2330299466993880075361,\ +0.0720777388352223102874,0.0151538267615728122067,0.7485905695903387613299,\ +0.0969510446209165821507,0.8347965442360075760675,0.8215865796515979813108,\ +0.2738845295035164384423,0.8996918043828731059719,0.8896690120740690099765,\ +0.8117683352741612567982,0.3329971294517217184072,0.9008120497468148357711,\ +0.1230347833276769775601,0.0631133065200175230602,0.1348341818397757463366,\ +0.2749675342978448178144,0.7210794354646373749418,0.9161054973709473747689,\ +0.7559186765863976642521,0.8531345425055275599746,0.3096300406745840505529,\ +0.3413400734450014462062,0.8520286730709790701255} + +void dasinsTest(void) { + double in[]= SOURCE; + double res[]= RESULT; + double out; + int i=0; + + for (i=0;i<200;i++){ + out=dasins(in[i]); + assert( ( (fabs(out-res[i])) / (fabs(out)) ) <3e-16); + } +} + +void zasinsTest(void) { + double inR[]= RSOURCE; + double inI[]= ISOURCE; + double resR[]= RRESULT; + double resI[]= IRESULT; + doubleComplex out,in; + int i=0; + + for (i=0;i<200;i++){ + in = DoubleComplex(inR[i],inI[i]); + out=zasins(in); + assert( ( (fabs(zreals(out)-resR[i])) / (fabs(zreals(out))) ) <3e-15); + assert( ( (fabs(zimags(out)-resI[i])) / (fabs(zimags(out))) ) <3e-15); + } +} + +void dasinaTest(void) { + double in[]= SOURCE; + double res[]= RESULT; + double out[200]; + int i=0; + + dasina(in,200,out); + for (i=0;i<200;i++){ + assert( ( (fabs(out[i]-res[i])) / (fabs(out[i])) ) <3e-16); + } +} + +void zasinaTest(void) { + double inR[]= RSOURCE; + double inI[]= ISOURCE; + double resR[]= RRESULT; + double resI[]= IRESULT; + doubleComplex out[200],*in; + int i=0; + + + in= DoubleComplexMatrix(inR,inI,200); + zasina(in,200,out); + + for (i=0;i<200;i++){ + assert( ( (fabs(zreals(out[i])-resR[i])) / (fabs(zreals(out[i]))) ) <3e-15); + assert( ( (fabs(zimags(out[i])-resI[i])) / (fabs(zimags(out[i]))) ) <3e-15); + } +} + +int testAsin(void) { + printf("\n>>>> Double ArcSine Tests\n"); + dasinsTest(); + zasinsTest(); + dasinaTest(); + zasinaTest(); + return 0; +} + +int main(void) { + assert(testAsin() == 0); + return 0; +} diff --git a/2.3-1/src/c/elementaryFunctions/asin/testFloatAsin.c b/2.3-1/src/c/elementaryFunctions/asin/testFloatAsin.c new file mode 100644 index 00000000..00a630ac --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/asin/testFloatAsin.c @@ -0,0 +1,497 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "testAsin.h" + +#define SOURCE {0.9356911443173885345459f,0.5202743173576891422272f,0.8356943717226386070251f,\ +0.1390841729007661342621f,0.1484344247728586196899f,0.5062630889005959033966f,\ +0.6569615425541996955872f,0.1527653667144477367401f,0.2077333852648735046387f,\ +0.1310311132110655307770f,0.2355898572131991386414f,0.9000837444327771663666f,\ +0.0360118653625249862671f,0.4438733388669788837433f,0.2795370602980256080627f,\ +0.3609029497019946575165f,0.0737524814903736114502f,0.8877843604423105716705f,\ +0.7357059037312865257263f,0.1533541432581841945648f,0.2168745566159486770630f,\ +0.7783402544446289539337f,0.6990017639473080635071f,0.6133037763647735118866f,\ +0.1271589249372482299805f,0.3196897902525961399078f,0.2413121340796351432800f,\ +0.0203057392500340938568f,0.8844696115702390670776f,0.7514050160534679889679f,\ +0.8791579911485314369202f,0.3137878845445811748505f,0.4495223872363567352295f,\ +0.7199412197805941104889f,0.8987670382484793663025f,0.1432229257188737392426f,\ +0.9059501979500055313110f,0.4684562650509178638458f,0.2573188217356801033020f,\ +0.5960337105207145214081f,0.9504154697060585021973f,0.9387393021024763584137f,\ +0.2791117234155535697937f,0.4469828694127500057220f,0.5995192881673574447632f,\ +0.3789988537319004535675f,0.8654018277302384376526f,0.2727968390099704265594f,\ +0.5822574533522129058838f,0.5512602762319147586823f,0.4366636639460921287537f,\ +0.2757742605172097682953f,0.3867734093219041824341f,0.1321225953288376331329f,\ +0.3260228233411908149719f,0.1601287531666457653046f,0.4301580488681793212891f,\ +0.4006247171200811862946f,0.8426104513928294181824f,0.9048160626552999019623f,\ +0.320046393200755119324f,0.8069710140116512775421f,0.7235896149650216102600f,\ +0.7765955845825374126434f,0.6767611466348171234131f,0.5158662856556475162506f,\ +0.1936035444959998130798f,0.4270762628875672817230f,0.4847531262785196304321f,\ +0.5182100948877632617950f,0.3503957511857151985168f,0.4174968632869422435760f,\ +0.442088566720485687256f,0.4049004786647856235504f,0.0953520191833376884460f,\ +0.0149906217120587825775f,0.2767332997173070907593f,0.396497034002095460892f,\ +0.3277142727747559547424f,0.6040842677466571331024f,0.4983838088810443878174f,\ +0.7224933789111673831940f,0.6212163185700774192810f,0.5571814230643212795258f,\ +0.5545951593667268753052f,0.9439489883370697498322f,0.1018914626911282539368f,\ +0.9077803748659789562225f,0.8599558025598526000977f,0.3132304050959646701813f,\ +0.7458020029589533805847f,0.6701762243174016475677f,0.6670592557638883590698f,\ +0.7646118258126080036163f,0.8154405960813164710999f,0.1493974099867045879364f,\ +0.2480226568877696990967f,0.6294850618578493595123f,0.6535534998401999473572f,\ +0.0851266062818467617035f,0.3553021941334009170532f,0.6699288752861320972443f,\ +0.5531356902793049812317f,0.9733559968881309032440f,0.4305554106831550598145f,\ +0.5243876897729933261871f,0.9223478538915514945984f,0.4095269232057034969330f,\ +0.5303003843873739242554f,0.1592096765525639057159f,0.4631052548065781593323f,\ +0.7969039077870547771454f,0.4371217824518680572510f,0.4197942153550684452057f,\ +0.5820884769782423973083f,0.2639330527745187282562f,0.9251737911254167556763f,\ +0.2750987303443253040314f,0.7529260413721203804016f,0.1343348133377730846405f,\ +0.6487299203872680664062f,0.8492549010552465915680f,0.0482988981530070304871f,\ +0.7936811461113393306732f,0.6225296836346387863159f,0.8340442483313381671906f,\ +0.5607167938724160194397f,0.2962070326320827007294f,0.7626721523702144622803f,\ +0.3759830952621996402740f,0.9307165136560797691345f,0.5556063777767121791840f,\ +0.4568063858896493911743f,0.0317669031210243701935f,0.7012319983914494514465f,\ +0.4635622831992805004120f,0.6323687359690666198730f,0.8858239823020994663239f,\ +0.7168863369151949882507f,0.7797616957686841487885f,0.2916170265525579452515f,\ +0.4237285782583057880402f,0.28695563320070505142f,0.1371444310061633586884f,\ +0.9822116084396839141846f,0.2552233324386179447174f,0.3307547485455870628357f,\ +0.0061365715228021144867f,0.1720932889729738235474f,0.2806011182256042957306f,\ +0.2241949187591671943665f,0.9616182404570281505585f,0.9974081367254257202148f,\ +0.3941962518729269504547f,0.5662632463499903678894f,0.0963757499121129512787f,\ +0.3522291611880064010620f,0.3187350784428417682648f,0.5841740677133202552795f,\ +0.9247881243936717510223f,0.7888248674571514129639f,0.6642959327436983585358f,\ +0.3959421953186392784119f,0.6204979992471635341644f,0.1972246859222650527954f,\ +0.8056284752674400806427f,0.8491280348971486091614f,0.9318168940953910350800f,\ +0.7328312769532203674316f,0.6715824031271040439606f,0.1545045776292681694031f,\ +0.6186148612760007381439f,0.9608297105878591537476f,0.0403955359943211078644f,\ +0.0333962673321366310120f,0.7544445092789828777313f,0.6861435212194919586182f,\ +0.4345912770368158817291f,0.5974397426471114158630f,0.7376494011841714382172f,\ +0.4376876372843980789185f,0.2092354488559067249298f,0.6795164542272686958313f,\ +0.3552068280987441539764f,0.0756681859493255615234f,0.9273025044240057468414f,\ +0.8346071569249033927917f,0.743054957594722509384f,0.4906791727989912033081f,\ +0.6159011130221188068390f,0.7293182769790291786194f,0.5866543571464717388153f,\ +0.8633460365235805511475f,0.9971091211773455142975f,0.1388301542028784751892f,\ +0.4055338925682008266449f,0.4532660786062479019165f,0.2871678886003792285919f,\ +0.2700171591714024543762f,0.2655710014514625072479f} + +#define RESULT {1.2102129173972693276795f,0.547172134283395505960f,0.9893959167427971435060f,\ +0.1395365387198562734383f,0.1489849714320161666592f,0.5308459929384929942842f,\ +0.7167814580056727224999f,0.1533658822581816516539f,0.2092572247647190852859f,\ +0.1314089889300391889027f,0.2378254645317898763324f,1.1199616760260284742401f,\ +0.0360196535997655206685f,0.4599165600749937077296f,0.2833119142414158297960f,\ +0.3692359156088362848180f,0.0738195075749003143395f,1.0925087004242901578266f,\ +0.8267083221396219760990f,0.1539616791242165161346f,0.2186116813912043488344f,\ +0.8920178989455170848188f,0.7740006423727355810982f,0.6602366372124121030041f,\ +0.1275041230444604323235f,0.3254020787470935927033f,0.2437177159295554063068f,\ +0.0203071349297229801489f,1.0853560691206285415689f,0.8501888295310906507041f,\ +1.0740923528156336441697f,0.3191797921431215878663f,0.4662305874507110536875f,\ +0.8037176217662085342397f,1.1169491151572188414320f,0.1437171522303946902266f,\ +1.13361865210398771175f,0.4875426458125770023955f,0.2602465647055824948808f,\ +0.6385524103330081358010f,1.2545691699775671779093f,1.2189537472935179085454f,\ +0.2828689457902803794376f,0.4633896660240007236986f,0.6429003543060739511716f,\ +0.3887142006801726501486f,1.0459517428704359076619f,0.2762989388590115780175f,\ +0.6215026189895035413358f,0.5838740042814533071081f,0.4518867349636846997285f,\ +0.2793951051102595561915f,0.3971301217078890832823f,0.132510043706192570667f,\ +0.3320934649289025153429f,0.1608210878711773539340f,0.4446678438400747945813f,\ +0.4121985697961437211667f,1.0021124190562762379386f,1.1309475449498487265032f,\ +0.3257784557613874198978f,0.9390052579549887923349f,0.8089888457708835911575f,\ +0.8892438326422247296676f,0.7433542835357417333242f,0.5420185672225497075516f,\ +0.1948338635337260038582f,0.4412568471414960447063f,0.5060808916267004464729f,\ +0.5447567844134539871703f,0.3579936097184594490095f,0.430688870641149468277f,\ +0.4579258061456900619213f,0.4168699854700866902490f,0.0954971037836137986998f,\ +0.0149911832144437959929f,0.2803929768115001053275f,0.4076979699824179737000f,\ +0.3338832266123987202455f,0.6486162776185823153341f,0.5217335620683097863193f,\ +0.8074019476106287784845f,0.6702938912826584827442f,0.5909876416606805182852f,\ +0.5878763702657983092337f,1.2343959660274554934745f,0.1020685954711661458383f,\ +1.1379615773910940479396f,1.0351830670880448614923f,0.3185927153117306676045f,\ +0.8417379366997205236700f,0.7344461964462585257252f,0.7302544939241956134524f,\ +0.8704388193816158247884f,0.9534899570984974870314f,0.1499588151786827583400f,\ +0.2506386006706501912156f,0.6808903181988129604818f,0.7122699052095804450602f,\ +0.0852297552133160912780f,0.3632373356223638216633f,0.7341129828114539845885f,\ +0.5861234773434839118167f,1.3394387326603169885431f,0.4451080564403126493822f,\ +0.5519958405399131295965f,1.1741139184516546922765f,0.4219354466987135787726f,\ +0.5589548324277814339567f,0.1598900667546140630382f,0.4814956074594635149211f,\ +0.9221526721268241688634f,0.4523960307711298312050f,0.4332185780481620507310f,\ +0.6212947925772885904294f,0.2670975836918499934924f,1.1814932336008394653248f,\ +0.2786923935221553016994f,0.8524970032637724237645f,0.1347421608080361932203f,\ +0.7059143267628599227592f,1.014572470500166190277f,0.0483176963724658639632f,\ +0.9168365263416731192336f,0.6719709888964939814571f,0.9863981265157644173769f,\ +0.5952512315907774187451f,0.3007190162077965633891f,0.8674345484889434132469f,\ +0.3854574865641427483531f,1.1963670583888645904125f,0.5890920941092092633085f,\ +0.4744017948433008613485f,0.0317722484037002914081f,0.7771241013419247778415f,\ +0.4820113338532510671719f,0.6846071548899330672100f,1.0882667543007658040f,\ +0.7993259845681112141236f,0.8942850957473000850229f,0.2959169071935129347040f,\ +0.4375577621669283212569f,0.2910472961271438063768f,0.1375780266978623433971f,\ +1.3818975127290542559422f,0.2580786782411462754183f,0.337103224922307598277f,\ +0.0061366100381220973006f,0.1729542689024595181202f,0.2844203312567258890020f,\ +0.2261168471284604464255f,1.292840105239649206581f,1.4987826659389660299837f,\ +0.4051931219540680362279f,0.6019650966008720516243f,0.0965255712145899474885f,\ +0.3599518411886321600512f,0.3243946620517429990649f,0.6238620609478121581404f,\ +1.1804783562721565814968f,0.9088946724537740884386f,0.7265514890656400437408f,\ +0.407093673069975237055f,0.6693775784027574671242f,0.1985261923397042549411f,\ +0.9367355633059043507060f,1.0143322323911900806337f,1.199387299048776833743f,\ +0.8224738107516712526390f,0.7363424248289601736772f,0.1551259899908567496674f,\ +0.6669785285495629656438f,1.289980681935538386895f,0.0404065303042144760570f,\ +0.0334024783187645626925f,0.8548073921139841546690f,0.7561744594372630245971f,\ +0.4495844069894625594230f,0.6403046132494145670222f,0.8295822852568314198507f,\ +0.4530252724246893181181f,0.2107930369382310653581f,0.747103346555288094777f,\ +0.3631353147252046054128f,0.0757405812005388645591f,1.1871407475057926816930f,\ +0.9874192358186812956689f,0.8376237455287295352591f,0.5128690395827339987278f,\ +0.6635292564994419439728f,0.8173250039556049229006f,0.6269213761078136215588f,\ +1.0418634321911146578543f,1.4947401270369859993536f,0.1392800314888206769659f,\ +0.4175628314057308609897f,0.4704260294397792363519f,0.29126887742414786509f,\ +0.2734108525510542397896f,0.2687961431094310627010f} + + + +#define RSOURCE {0.0100881215184926986694f,0.0074436445720493793488f,0.2989360922947525978088f,\ +0.3327573235146701335907f,0.237830940634012222290f,0.8535961345769464969635f,\ +0.7922197943553328514099f,0.9695409736596047878265f,0.6468791384249925613403f,\ +0.9159972262568771839142f,0.7485287981107831001282f,0.5446169781498610973358f,\ +0.4380150139331817626953f,0.8022991069592535495758f,0.0770919052883982658386f,\ +0.6038356139324605464935f,0.0416274946182966232300f,0.0491319303400814533234f,\ +0.2167323390021920204163f,0.5511633078567683696747f,0.5648556910455226898193f,\ +0.7904387773014605045319f,0.8203159859403967857361f,0.8707285351119935512543f,\ +0.7680293265730142593384f,0.9941699919290840625763f,0.7653715135529637336731f,\ +0.7766020926646888256073f,0.0391560420393943786621f,0.3610868924297392368317f,\ +0.7096323622390627861023f,0.1340617476962506771088f,0.3352055754512548446655f,\ +0.4794248570688068866730f,0.9102506125345826148987f,0.9960912610404193401337f,\ +0.5589408166706562042236f,0.3291657851077616214752f,0.5254327272996306419373f,\ +0.5988637856207787990570f,0.3400457371026277542114f,0.7296699327416718006134f,\ +0.1172471689060330390930f,0.1599596398882567882538f,0.6893001943826675415039f,\ +0.8244171240366995334625f,0.5743538914248347282410f,0.3230684562586247920990f,\ +0.4945516120642423629761f,0.1966073368676006793976f,0.1734057078137993812561f,\ +0.5929257045499980449677f,0.3272335343062877655029f,0.7093706638552248477936f,\ +0.9978715321049094200134f,0.6042335904203355312347f,0.5281810555607080459595f,\ +0.6643366483040153980255f,0.4330314965918660163879f,0.5683163288049399852753f,\ +0.0414931252598762512207f,0.3723129951395094394684f,0.9558939440175890922546f,\ +0.7412597923539578914642f,0.9651917275041341781616f,0.7298236568458378314972f,\ +0.9387842947617173194885f,0.2572855348698794841766f,0.2874279357492923736572f,\ +0.8952562944032251834869f,0.6853557890281081199646f,0.1711091897450387477875f,\ +0.7769848424941301345825f,0.658369113225489854813f,0.4177721040323376655579f,\ +0.0530332433991134166718f,0.4968273639678955078125f,0.59690707409754395485f,\ +0.4338118461892008781433f,0.9805241837166249752045f,0.9094489198178052902222f,\ +0.6140774791128933429718f,0.152644918300211429596f,0.2700240234844386577606f,\ +0.0427649877965450286865f,0.9506349326111376285553f,0.2680307617411017417908f,\ +0.7927461988292634487152f,0.6853035334497690200806f,0.2653256771154701709747f,\ +0.7276884736493229866028f,0.2182058426551520824432f,0.0794423148036003112793f,\ +0.8774413042701780796051f,0.7575887991115450859070f,0.0292344330810010433197f,\ +0.0814430620521306991577f,0.7652318407781422138214f,0.6499179983511567115784f,\ +0.652228816878050565720f,0.2570325322449207305908f,0.4139282093383371829987f,\ +0.5334635889157652854919f,0.5463846079073846340179f,0.8812804389744997024536f,\ +0.1071240645833313465118f,0.8451719628646969795227f,0.5956639605574309825897f,\ +0.3115242570638656616211f,0.7552670040167868137360f,0.7216278789564967155457f,\ +0.64724771818146109581f,0.7020909022539854049683f,0.8550091539509594440460f,\ +0.0292058298364281654358f,0.5402219365350902080536f,0.5295652858912944793701f,\ +0.6731671304441988468170f,0.2516432842239737510681f,0.4682487822137773036957f,\ +0.8973557446151971817017f,0.2490413752384483814240f,0.953785804100334644318f,\ +0.0199718060903251171112f,0.0883063450455665588379f,0.3088448666967451572418f,\ +0.0402540368959307670593f,0.7409055917523801326752f,0.3341060634702444076538f,\ +0.6859912057407200336456f,0.5277825826779007911682f,0.5605597789399325847626f,\ +0.2702448405325412750244f,0.3409920767880976200104f,0.0499807363376021385193f,\ +0.9285474619828164577484f,0.0452665109187364578247f,0.5747140836901962757111f,\ +0.8132651047781109809875f,0.0034279632382094860077f,0.5530686080455780029297f,\ +0.5287449606694281101227f,0.2227140991017222404480f,0.7380339815281331539154f,\ +0.7569990437477827072144f,0.5666191582567989826202f,0.8965943017974495887756f,\ +0.205033115576952695847f,0.5744996629655361175537f,0.6296528042294085025787f,\ +0.28830870892852544785f,0.0064737624488770961761f,0.2910466734319925308228f,\ +0.161138039547950029373f,0.6345168473199009895325f,0.1110653909854590892792f,\ +0.9721379503607749938965f,0.6926467292942106723785f,0.4481767667457461357117f,\ +0.9629431902430951595306f,0.8420772161334753036499f,0.6861935486085712909698f,\ +0.2752589071169495582581f,0.2056670929305255413055f,0.0983050949871540069580f,\ +0.7260084436275064945221f,0.9338818406686186790466f,0.8652051738463342189789f,\ +0.1300270427018404006958f,0.6536684674210846424103f,0.9546198891475796699524f,\ +0.3356514233164489269257f,0.6098881512880325317383f,0.7403389909304678440094f,\ +0.4407326159998774528503f,0.0114278956316411495209f,0.4274448286741971969604f,\ +0.4898742889054119586945f,0.0670661935582756996155f,0.9097212324850261211395f,\ +0.9331833533942699432373f,0.1665275008417665958405f,0.4363766452297568321228f,\ +0.1269035614095628261566f,0.4618353042751550674438f,0.6410199669189751148224f,\ +0.5118249626830220222473f,0.4726877692155539989471f,0.6037398651242256164551f,\ +0.6487199389375746250153f,0.3443940980359911918640f,0.1257671504281461238861f,\ +0.1930030044168233871460f,0.0536806662566959857941f,0.813977831043303012848f,\ +0.6546894307248294353485f,0.4812035299837589263916f,0.2122878567315638065338f,\ +0.6028915112838149070740f,0.2477151653729379177094f} + +#define ISOURCE {0.4653960186988115310669f,0.0302665126509964466095f,0.1205546753481030464172f,\ +0.4954105126671493053436f,0.8391606211662292480469f,0.8067971416749060153961f,\ +0.5980955390259623527527f,0.5697243823669850826263f,0.535449741408228874207f,\ +0.4594913427717983722687f,0.0716273644939064979553f,0.1432999591343104839325f,\ +0.3299815915524959564209f,0.2239767671562731266022f,0.4729467025026679039001f,\ +0.8927706009708344936371f,0.4739306215196847915649f,0.4218414542265236377716f,\ +0.5464035095646977424622f,0.9297901126556098461151f,0.8246648237109184265137f,\ +0.3906875425018370151520f,0.8106931401416659355164f,0.0035473941825330257416f,\ +0.4432799126952886581421f,0.1700443555600941181183f,0.2843202138319611549377f,\ +0.8185154641978442668915f,0.1276803798973560333252f,0.0368908629752695560455f,\ +0.1934843575581908226013f,0.3111848584376275539398f,0.8499574232846498489380f,\ +0.4845375162549316883087f,0.3811378227546811103821f,0.2295314031653106212616f,\ +0.5668137520551681518555f,0.7386174597777426242828f,0.6359649775549769401550f,\ +0.8589683636091649532318f,0.3717852663248777389526f,0.4039371167309582233429f,\ +0.6600336739793419837952f,0.2385329673998057842255f,0.4580096118152141571045f,\ +0.3359361500479280948639f,0.8938684901222586631775f,0.7110573030076920986176f,\ +0.8602916095405817031860f,0.3305067983455955982208f,0.9176958473399281501770f,\ +0.15107359318062663078f,0.4452155604958534240723f,0.7259225868619978427887f,\ +0.6476110024377703666687f,0.7142038433812558650970f,0.1180544253438711166382f,\ +0.5106264133937656879425f,0.0454169148579239845276f,0.4517838652245700359344f,\ +0.7152258791029453277588f,0.0306280092336237430573f,0.5608849888667464256287f,\ +0.6344716749154031276703f,0.5510452408343553543091f,0.8902607751078903675079f,\ +0.0251876907423138618469f,0.1285902666859328746796f,0.0875252783298492431641f,\ +0.1400479921139776706696f,0.2142530409619212150574f,0.6689547612331807613373f,\ +0.6959728877991437911987f,0.3454284076578915119171f,0.8007909813895821571350f,\ +0.3719339291565120220184f,0.9791326485574245452881f,0.6300911963917315006256f,\ +0.9137416174635291099548f,0.3324960893951356410980f,0.6226272527128458023071f,\ +0.2876702961511909961700f,0.0238953353837132453918f,0.6489893826656043529510f,\ +0.2444448098540306091309f,0.0555481188930571079254f,0.374434794299304485321f,\ +0.7194064198993146419525f,0.2112230267375707626343f,0.6445186366327106952667f,\ +0.6751487934961915016174f,0.1528833056800067424774f,0.8900802619755268096924f,\ +0.6180598423816263675690f,0.27906801458448171616f,0.1401830366812646389008f,\ +0.3047434557229280471802f,0.2149655860848724842072f,0.5602726386860013008118f,\ +0.6269132751040160655975f,0.6647229343652725219727f,0.2090867855586111545563f,\ +0.7116218386217951774597f,0.133228497114032506943f,0.7362840902060270309448f,\ +0.3999320124275982379913f,0.6811551460996270179749f,0.5637665162794291973114f,\ +0.523965936154127120972f,0.8278774530626833438873f,0.4659156939014792442322f,\ +0.8515693820081651210785f,0.23139653541147708893f,0.3077362445183098316193f,\ +0.4819453330710530281067f,0.7797386529855430126190f,0.9701553061604499816895f,\ +0.3744371854700148105621f,0.2292016251012682914734f,0.8245750456117093563080f,\ +0.1854322012513875961304f,0.2345628221519291400909f,0.9701467091217637062073f,\ +0.3639524574391543865204f,0.2672337628901004791260f,0.8174969092942774295807f,\ +0.6407580440863966941833f,0.0946763656102120876312f,0.3158860523253679275513f,\ +0.5199312460608780384064f,0.7127110259607434272766f,0.0025766002945601940155f,\ +0.5305844545364379882812f,0.7374818869866430759430f,0.2254834799095988273621f,\ +0.7290844931267201900482f,0.1897403579205274581909f,0.7771647279150784015656f,\ +0.7071320274844765663147f,0.67804440064355731010f,0.6918747089803218841553f,\ +0.2444804669357836246490f,0.2024903288111090660095f,0.7065096027217805385590f,\ +0.6258084420114755630493f,0.4988589403219521045685f,0.1275391997769474983215f,\ +0.7432725760154426097870f,0.3388997837901115417480f,0.2712128334678709506989f,\ +0.1686986042186617851257f,0.1788796423934400081635f,0.9720784332603216171265f,\ +0.0373507668264210224152f,0.9457915211096405982971f,0.3708799923770129680634f,\ +0.4304266162216663360596f,0.2409997568465769290924f,0.6574296867474913597107f,\ +0.1080590835772454738617f,0.2580570150166749954224f,0.9601870519109070301056f,\ +0.4275712119415402412415f,0.3774064141325652599335f,0.8860375732183456420898f,\ +0.1107313432730734348297f,0.572000074200332164764f,0.2775676711462438106537f,\ +0.2221131753176450729370f,0.7805933509953320026398f,0.5034774849191308021545f,\ +0.4225312541238963603973f,0.0509742014110088348389f,0.7888357848860323429108f,\ +0.4943151315674185752869f,0.6792991734109818935394f,0.2138219568878412246704f,\ +0.0629426804371178150177f,0.0151202948763966560364f,0.5832923236303031444550f,\ +0.0359809771180152893066f,0.9282481097616255283356f,0.8684628410264849662781f,\ +0.2752401321195065975189f,0.9713082071393728256226f,0.90322426753118634224f,\ +0.8362140888348221778870f,0.3033045823685824871063f,0.9321490563452243804932f,\ +0.0943789319135248661041f,0.0593075519427657127380f,0.1341886124573647975922f,\ +0.2735903281718492507935f,0.7845123005099594593048f,0.868671556003391742706f,\ +0.7169788884930312633514f,0.9007600247859954833984f,0.3080832012929022312164f,\ +0.2860837308689951896667f,0.9434729530476033687592f} + +#define RRESULT {0.0091461935615653692372f,0.0074403059517685150512f,0.3011120408510194468299f,\ +0.2998770814044370847107f,0.1819248875927510500361f,0.6444988336836313669309f,\ +0.6791245188293772994115f,0.8328839139359748289237f,0.5765876696591275551995f,\ +0.8504976129204943058326f,0.8394277222457392495514f,0.5667892427465585081237f,\ +0.4244768273740840425212f,0.8613255288489666261498f,0.0697161665763657567574f,\ +0.4438565921449716400460f,0.0376207427201287192275f,0.0452773943778729953680f,\ +0.1905350234324321712087f,0.3984765801447008870539f,0.4314770699424559374791f,\ +0.7678818181682768306828f,0.6201489749119961647494f,1.056635799167679801158f,\ +0.7224469139675204765183f,1.1570753191068809950792f,0.7891360295709419769850f,\ +0.5869418614770346431797f,0.0388500272557359208059f,0.3691306128445250300807f,\ +0.7557159781600413239744f,0.1282646090865436350192f,0.254601106881209460209f,\ +0.4365177363889400918850f,0.8917468285467748945194f,1.0969945987775304718781f,\ +0.4896234023783549438313f,0.2644825052430134770809f,0.4440381533885026654751f,\ +0.4483584089258232929787f,0.3221387984110837821028f,0.7011289310321348056121f,\ +0.0978674265602834936306f,0.1561241830600058055900f,0.6415261435351872210120f,\ +0.8301262834168886550756f,0.4226589438886647065452f,0.2631688682703156034748f,\ +0.3718501469694869832061f,0.1874416812787549069252f,0.1276292125120765952317f,\ +0.6223362931435947320580f,0.3011173751873987280980f,0.5675795050042053979666f,\ +0.8129219748246857557561f,0.4890104311779664980619f,0.550584097940126637738f,\ +0.6003329153401916196131f,0.4472450285127820834852f,0.5277749449162034700578f,\ +0.0337492295725758256753f,0.3812817338877603767777f,0.8272241071562403957884f,\ +0.6236783490132045137955f,0.8396686488386544411355f,0.5323480108875771055210f,\ +1.2121602671977980136830f,0.2578891950501832064369f,0.2902963532926625123132f,\ +1.0407218420407280401463f,0.719658282922589376263f,0.1422515549798589185038f,\ +0.6295643770268913863575f,0.6485925881357603728361f,0.3247882629711342783452f,\ +0.0497195040545942226751f,0.3510527044460081680377f,0.50563338590045081578f,\ +0.3179706585678286345775f,0.99285160840273078975f,0.7609503370287584722576f,\ +0.6176058717047394619470f,0.1531988771495936818567f,0.2266760787365090790146f,\ +0.0415517947772082799074f,1.218422457974889017152f,0.2526690822330791563743f,\ +0.6329425814457148025127f,0.7204713317072120037921f,0.2231989518352319179506f,\ +0.5985707095895493878857f,0.2172853881448477131322f,0.0593293879714889560439f,\ +0.7385713745542424879531f,0.7823911147317434977566f,0.0289551632441432602039f,\ +0.0779646258693818400287f,0.8182888473500083970080f,0.5715052817983971022997f,\ +0.5528641949610285655226f,0.2141542425335012378440f,0.4153673917132313930800f,\ +0.4332354240667932732123f,0.5700436227902923036481f,0.6908832900189864067997f,\ +0.0995605703740609776498f,0.6869435543144543077076f,0.5227653368830831315250f,\ +0.2770997202417057603263f,0.5689013982218961151816f,0.6692632096949825415422f,\ +0.4851064406738322953849f,0.7345650510869129456992f,0.8789819041715580816287f,\ +0.0263110479671970418081f,0.4230828882691921033476f,0.3752940809060429927513f,\ +0.6545085349432201438091f,0.2474097208124308444610f,0.3590569749582296354973f,\ +1.0107395629243736134839f,0.2444967346619240644578f,0.6498559643022308041083f,\ +0.0187681811419864209844f,0.0853955435810109381167f,0.23858632896482903640f,\ +0.0338939736966144267161f,0.8239189153398052134492f,0.3225505736889286989566f,\ +0.6168540121263207387514f,0.428433060998039016987f,0.5950583374560662885955f,\ +0.2394573971728722883157f,0.2741095497000874958715f,0.0487731652979911251000f,\ +0.7269475532699710695894f,0.0444861838193508288275f,0.4501104783981072499088f,\ +0.6528448282940336744318f,0.0028372513246705619722f,0.4536708244402919421034f,\ +0.5336004611058299262893f,0.2198360890060693795256f,0.5959746705988369086526f,\ +0.6396262340663229073456f,0.5139896603726894497299f,1.0518513414805021888299f,\ +0.1644962891003966809489f,0.5624905673203877132238f,0.6391528366469793054350f,\ +0.2879084713580257748333f,0.0063726492100631259435f,0.2079683900269996554844f,\ +0.1617268596829900817458f,0.45252598419205131153f,0.1042540297218644135269f,\ +0.9167320764408587452365f,0.7202498119943631094131f,0.3747568855205881677151f,\ +1.1832506588357394328170f,0.8926873380378329558837f,0.4837753498734558843530f,\ +0.2545199640454580136684f,0.1931610886369621860048f,0.0735568361645391743942f,\ +0.7995145050294805155744f,0.8044454260553820512669f,0.9085111724757110041040f,\ +0.1272278092834613905104f,0.5090362502018392909520f,0.8578711409272452570463f,\ +0.3118078521746414644156f,0.6543371722769727449887f,0.5706133911152972970626f,\ +0.3988750643962680753063f,0.0094531166452282121282f,0.4291477558442853834642f,\ +0.5104896641888095887296f,0.0671088543520260150110f,0.7800123094015957159186f,\ +1.1912011959193866683648f,0.12192992647229736192f,0.3274120948460061963914f,\ +0.1225950921700365431333f,0.3281975873099651774822f,0.4674494885223512974370f,\ +0.3894697523335833855285f,0.4641231634718703258358f,0.4345931392944782367671f,\ +0.6995072076723701792744f,0.3508640282412981981075f,0.1249574421756384084992f,\ +0.1870180747450552183331f,0.0422329366873970546425f,0.5961240984598299430530f,\ +0.5279606410558730367200f,0.3544288908497560397493f,0.2039132017920733119798f,\ +0.6057722587792238044813f,0.1797611770377918194441f} + +#define IRESULT {0.4500666085684790207466f,0.0302627309405466352055f,0.1259014236203331582598f,\ +0.4977434045460411571327f,0.773705242465913545225f,0.887900733341152936795f,\ +0.7079916425568136828517f,0.7688472856787659237554f,0.6017352744773040162940f,\ +0.6498883599394120746950f,0.107039917160296094156f,0.1690548918257823163280f,\ +0.3546374548515999203246f,0.3373847934787007063484f,0.4579255569364570899182f,\ +0.8732609696455944092719f,0.4580771972571195393975f,0.4106361461893539566148f,\ +0.5311452992294272146268f,0.8876026166669700456779f,0.8147068623051754165942f,\ +0.5194139247849689500214f,0.8786785088163897583513f,0.0072129604104987166471f,\ +0.5609976062745508640361f,0.4112823226813016597170f,0.3933766150232178571144f,\ +0.8693290272249873940f,0.1274316261040582265451f,0.0395449426043308974177f,\ +0.2628191746325336808354f,0.3088296914886584088045f,0.7926272523547727155702f,\ +0.5120084435293993374572f,0.5746945549365780614437f,0.4839450538685827751806f,\ +0.6047355489888047719305f,0.7052834690539023787537f,0.6561539945033735277136f,\ +0.8478769656358153827824f,0.3825478020514606614100f,0.5066754044490697772574f,\ +0.6222644111952397860676f,0.2391828028480158796487f,0.5443776858218749570284f,\ +0.4792822085648152929949f,0.86724431342169228110f,0.6822409980077328572889f,\ +0.8261589834748411798060f,0.3303572550644504612904f,0.8274965298010771297399f,\ +0.1848774585857928254296f,0.4507700784722463716037f,0.7795271583399024928340f,\ +0.8398668346264467343687f,0.7396983997066739480175f,0.1380866564681807739934f,\ +0.5849046253180708587749f,0.0503500622675033676634f,0.5016357319277500170784f,\ +0.6654269099346773463921f,0.0329916341046517930247f,0.7548317451254575871644f,\ +0.7182541963203104007363f,0.7522847340656214631949f,0.9046859380442064946237f,\ +0.0716988879790057820340f,0.132599207337852937f,0.0912207697238807957429f,\ +0.2735698269446988906139f,0.2811794411108771152286f,0.6327124304403525245633f,\ +0.7796338249130402298093f,0.4209075105417727225010f,0.7673980540361009516914f,\ +0.3642835980514441684974f,0.9112659650125345400795f,0.6691470644846674309392f,\ +0.8542200565296905745427f,0.5762098993480122555155f,0.7786617427494030296842f,\ +0.3459141320122436358275f,0.0241761593182958818560f,0.6246129374546308676841f,\ +0.2422787652159511528893f,0.1602629717157874056355f,0.3776710192863622084225f,\ +0.8030895628249021811484f,0.2774953901907728504028f,0.6203514328186836568335f,\ +0.7460670209249947726349f,0.1559320495131248929255f,0.8026468549051214429468f,\ +0.760424886296417135156f,0.3839751822834133743179f,0.1397861363985309635094f,\ +0.3011015740622249303726f,0.3095528263794048440261f,0.6246974136518177456168f,\ +0.6824390801574051756972f,0.6364220425441351469686f,0.2265745526065163772955f,\ +0.7201722295639139126422f,0.1575984581645545612449f,0.8494571876510255137305f,\ +0.3918195908099642577049f,0.7946547307771568702250f,0.6117848393634578441080f,\ +0.5208720859508298994811f,0.8690531065973791102763f,0.5637323042761468450124f,\ +0.8547026638602744919027f,0.306960447908322775490f,0.4654093394618514789585f,\ +0.4651555318578067255153f,0.7751475575968125308890f,0.9112674172531984861934f,\ +0.4560028346615129235531f,0.234251732325255618283f,0.7944832243829529350165f,\ +0.3423334159329023407281f,0.239457736168475460170f,1.02777275826487124455f,\ +0.3564220429250729016424f,0.2650952420467553305450f,0.7646166714313819001703f,\ +0.6037691171359901298743f,0.1389158036998756340363f,0.3271927879913820724767f,\ +0.6006321860598116124663f,0.7197540296752282795723f,0.0031113959438069660468f,\ +0.5221204081389118067946f,0.7059634191281195514378f,0.2238770907129097598176f,\ +0.8641197102092305071253f,0.1888045378279312735970f,0.7812121068214791241857f,\ +0.8015589685608611736356f,0.6345893564856053270518f,0.7088628827258813824841f,\ +0.2802718253544457249760f,0.2060232397943899673720f,0.7740411253804675428825f,\ +0.716974289181374180302f,0.5454318495795067445187f,0.2544009667091767235014f,\ +0.6958995710025659420239f,0.3906147496642403682543f,0.3317958100335353655019f,\ +0.1750450440110335736943f,0.1779427350870727009280f,0.8767597428372501111582f,\ +0.0378355850756998610129f,0.9174242179663641971743f,0.3647620293190586560073f,\ +0.6587619708007782515224f,0.3153773564551797248257f,0.6579511103942273786416f,\ +0.2821737200327205097317f,0.4005650534773762538876f,0.9399862930023007434599f,\ +0.4285643691635598884204f,0.3756601850966035938129f,0.8002497169354958472809f,\ +0.1581953331446839250418f,0.7519083154621302167442f,0.4373149903759625534150f,\ +0.2220927412218937635480f,0.804348871566688328f,0.7089002298114742695034f,\ +0.4305150724386235805419f,0.0641995146174158398678f,0.8363640441971674777122f,\ +0.5135521078813733986124f,0.6356504507416418370269f,0.2330299466993880075361f,\ +0.0720777388352223102874f,0.0151538267615728122067f,0.7485905695903387613299f,\ +0.0969510446209165821507f,0.8347965442360075760675f,0.8215865796515979813108f,\ +0.2738845295035164384423f,0.8996918043828731059719f,0.8896690120740690099765f,\ +0.8117683352741612567982f,0.3329971294517217184072f,0.9008120497468148357711f,\ +0.1230347833276769775601f,0.0631133065200175230602f,0.1348341818397757463366f,\ +0.2749675342978448178144f,0.7210794354646373749418f,0.9161054973709473747689f,\ +0.7559186765863976642521f,0.8531345425055275599746f,0.3096300406745840505529f,\ +0.3413400734450014462062f,0.8520286730709790701255f} + +void sasinsTest(void) { + float in[]= SOURCE; + float res[]= RESULT; + float out; + int i=0; + + for (i=0;i<200;i++){ + out=sasins(in[i]); + assert( ( (fabs(out-res[i])) / (fabs(out)) ) <1e-6); + } +} + +void casinsTest(void) { + float inR[]= RSOURCE; + float inI[]= ISOURCE; + float resR[]= RRESULT; + float resI[]= IRESULT; + floatComplex out,in; + int i=0; + + for (i=0;i<200;i++){ + in = FloatComplex(inR[i],inI[i]); + out=casins(in); + assert( ( (fabs(creals(out)-resR[i])) / (fabs(creals(out))) ) <1e-6); + assert( ( (fabs(cimags(out)-resI[i])) / (fabs(cimags(out))) ) <1e-6); + } +} + +void sasinaTest(void) { + float in[]= SOURCE; + float res[]= RESULT; + float out[200]; + int i=0; + + sasina(in,200,out); + for (i=0;i<200;i++){ + assert( ( (fabs(out[i]-res[i])) / (fabs(out[i])) ) <1e-6); + } +} + +void casinaTest(void) { + float inR[]= RSOURCE; + float inI[]= ISOURCE; + float resR[]= RRESULT; + float resI[]= IRESULT; + floatComplex out[200],in[200]; + int i=0; + + for (i=0;i<200;i++){ + in[i] = FloatComplex(inR[i],inI[i]); + } + + casina(in,200,out); + for (i=0;i<200;i++){ + assert( ( (fabs(creals(out[i])-resR[i])) / (fabs(creals(out[i]))) ) <1e-6); + assert( ( (fabs(cimags(out[i])-resI[i])) / (fabs(cimags(out[i]))) ) <1e-6); + } +} + + +int testAsin(void) { + printf("\n>>>> Float ArcSine Tests\n"); + sasinsTest(); + casinsTest(); + sasinaTest(); + casinaTest(); + return 0; +} + +int main(void) { + assert(testAsin() == 0); + return 0; +} diff --git a/2.3-1/src/c/elementaryFunctions/asin/zasina.c b/2.3-1/src/c/elementaryFunctions/asin/zasina.c new file mode 100644 index 00000000..ca46ff3f --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/asin/zasina.c @@ -0,0 +1,20 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2007-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "asin.h" + +void zasina(doubleComplex* x, int size, doubleComplex* y) { + int i = 0; + for (i = 0; i < size; ++i) { + y[i] = zasins(x[i]); + } +} diff --git a/2.3-1/src/c/elementaryFunctions/asin/zasins.c b/2.3-1/src/c/elementaryFunctions/asin/zasins.c new file mode 100644 index 00000000..5bd586a8 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/asin/zasins.c @@ -0,0 +1,146 @@ +/*
+ * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
+ * Copyright (C) 2007-2008 - INRIA - Bruno JOFRET
+ * Copyright (C) Bruno Pincon
+ *
+ * This file must be used under the terms of the CeCILL.
+ * This source file is licensed as described in the file COPYING, which
+ * you should have received as part of this distribution. The terms
+ * are also available at
+ * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt
+ *
+ */
+
+/*
+ * REFERENCE
+ * This is a Fortran-77 translation of an algorithm by
+ * T.E. Hull, T. F. Fairgrieve and P.T.P. Tang which
+ * appears in their article :
+ * "Implementing the Complex Arcsine and Arccosine
+ * Functions Using Exception Handling", ACM, TOMS,
+ * Vol 23, No. 3, Sept 1997, p. 299-335
+ * Thanks to Tom Fairgrieve
+ */
+
+#include "lapack.h"
+#include "asin.h"
+#include "atan.h"
+#include "sqrt.h"
+#include "abs.h"
+#include "log.h"
+#include "log1p.h"
+#include "min.h"
+#include "max.h"
+
+doubleComplex zasins(doubleComplex z) {
+ static double sdblPi_2 = 1.5707963267948966192313216;
+ static double sdblLn2 = 0.6931471805599453094172321;
+ static double sdblAcross = 1.5;
+ static double sdblBcross = 0.6417;
+
+ double dblLsup = dsqrts(getOverflowThreshold())/8.0;
+ double dblLinf = 4 * dsqrts(getUnderflowThreshold());
+ double dblEpsm = dsqrts(getRelativeMachinePrecision());
+
+ double _dblReal = zreals(z);
+ double _dblImg = zimags(z);
+
+ double dblAbsReal = dabss(_dblReal);
+ double dblAbsImg = dabss(_dblImg);
+ int iSignReal = _dblReal < 0 ? -1 : 1;
+ int iSignImg = _dblImg < 0 ? -1 : 1;
+
+ double dblR = 0, dblS = 0, dblA = 0, dblB = 0;
+
+ double dblTemp = 0;
+
+ double _pdblReal = 0;
+ double _pdblImg = 0;
+
+ if( min(dblAbsReal, dblAbsImg) > dblLinf && max(dblAbsReal, dblAbsImg) <= dblLsup)
+ {
+ /* we are in the safe region */
+ dblR = dsqrts( (dblAbsReal + 1) * (dblAbsReal + 1) + dblAbsImg * dblAbsImg);
+ dblS = dsqrts( (dblAbsReal - 1) * (dblAbsReal - 1) + dblAbsImg * dblAbsImg);
+ dblA = 0.5 * ( dblR + dblS );
+ dblB = dblAbsReal / dblA;
+
+
+ /* compute the real part */
+ if(dblB <= sdblBcross)
+ _pdblReal = dasins(dblB);
+ else if( dblAbsReal <= 1)
+ _pdblReal = datans(dblAbsReal / dsqrts( 0.5 * (dblA + dblAbsReal) * ( (dblAbsImg * dblAbsImg) / (dblR + (dblAbsReal + 1)) + (dblS + (1 - dblAbsReal)))));
+ else
+ _pdblReal = datans(dblAbsReal / (dblAbsImg * dsqrts(0.5 * ((dblA + dblAbsReal) / (dblR + (dblAbsReal + 1)) + (dblA + dblAbsReal) / (dblS + (dblAbsReal-1))))));
+
+ /* compute the imaginary part */
+ if(dblA <= sdblAcross)
+ {
+ double dblImg1 = 0;
+
+ if(dblAbsReal < 1)
+ /* Am1 = 0.5d0*((y**2)/(R+(x+1.d0))+(y**2)/(S+(1.d0-x))) */
+ dblImg1 = 0.5 * (dblAbsImg * dblAbsImg / (dblR + (dblAbsReal + 1)) + dblAbsImg * dblAbsImg / (dblS + (1 - dblAbsReal)));
+ else
+ /* Am1 = 0.5d0*((y**2)/(R+(x+1.d0))+(S+(x-1.d0))) */
+ dblImg1 = 0.5 * (dblAbsImg * dblAbsImg / (dblR + (dblAbsReal + 1)) + (dblS + (dblAbsReal - 1)));
+ /* ai = logp1(Am1 + sqrt(Am1*(A+1.d0))) */
+ dblTemp = dblImg1 + dsqrts(dblImg1 * (dblA + 1));
+ _pdblImg = dlog1ps(dblTemp);
+ }
+ else
+ /* ai = log(A + sqrt(A**2 - 1.d0)) */
+ _pdblImg = dlogs(dblA + dsqrts(dblA * dblA - 1));
+ }
+ else
+ {
+ /* evaluation in the special regions ... */
+ if(dblAbsImg <= dblEpsm * dabss(dblAbsReal - 1))
+ {
+ if(dblAbsReal < 1)
+ {
+ _pdblReal = dasins(dblAbsReal);
+ _pdblImg = dblAbsImg / dsqrts((1 + dblAbsReal) * (1 - dblAbsReal));
+ }
+ else
+ {
+ _pdblReal = sdblPi_2;
+ if(dblAbsReal <= dblLsup)
+ {
+ dblTemp = (dblAbsReal - 1) + dsqrts((dblAbsReal - 1) * (dblAbsReal + 1));
+ _pdblImg = dlog1ps(dblTemp);
+ }
+ else
+ _pdblImg = sdblLn2 + dlogs(dblAbsReal);
+ }
+ }
+ else if(dblAbsImg < dblLinf)
+ {
+ _pdblReal = sdblPi_2 - dsqrts(dblAbsImg);
+ _pdblImg = dsqrts(dblAbsImg);
+ }
+ else if((dblEpsm * dblAbsImg - 1 >= dblAbsReal))
+ {
+ _pdblReal = dblAbsReal * dblAbsImg;
+ _pdblImg = sdblLn2 + dlogs(dblAbsReal);
+ }
+ else if(dblAbsReal > 1)
+ {
+ _pdblReal = datans(dblAbsReal / dblAbsImg);
+ dblTemp = (dblAbsReal / dblAbsImg) * (dblAbsReal / dblAbsImg);
+ _pdblImg = sdblLn2 + dlogs(dblAbsReal) + 0.5 * dlog1ps(dblTemp);
+ }
+ else
+ {
+ double dblTemp2 = dsqrts(1 + dblAbsImg * dblAbsImg);
+ _pdblReal = dblAbsReal / dblTemp2;
+ dblTemp = 2 * dblAbsImg * (dblAbsImg + dblTemp2);
+ _pdblImg = 0.5 * dlog1ps(dblTemp);
+ }
+ }
+ _pdblReal *= iSignReal;
+ _pdblImg *= iSignImg;
+
+ return (DoubleComplex(_pdblReal, _pdblImg));
+}
diff --git a/2.3-1/src/c/elementaryFunctions/asinh/Makefile.am b/2.3-1/src/c/elementaryFunctions/asinh/Makefile.am new file mode 100644 index 00000000..33f4436e --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/asinh/Makefile.am @@ -0,0 +1,69 @@ +## +## Scilab ( http://www.scilab.org/ ) - This file is part of Scilab +## Copyright (C) 2006-2008 - INRIA - Bruno JOFRET +## +## This file must be used under the terms of the CeCILL. +## This source file is licensed as described in the file COPYING, which +## you should have received as part of this distribution. The terms +## are also available at +## http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt +## +## + +libAsinh_la_CFLAGS = -I ../../type \ + -I ../includes + +instdir = $(top_builddir)/lib + +pkglib_LTLIBRARIES = libAsinh.la + +libAsinh_la_SOURCES = $(HEAD) $(SRC) + +SRC = sasinhs.c \ + dasinhs.c \ + casinhs.c \ + zasinhs.c \ + sasinha.c \ + dasinha.c \ + casinha.c \ + zasinha.c + +HEAD = ../includes/asinh.h + +#### +# Checking Part +#### + +check_INCLUDES = -I $(top_builddir)/src/c/elementaryFunctions/includes \ + -I $(top_builddir)/src/c/type + +check_LDADD = $(top_builddir)/src/c/type/libDoubleComplex.la \ + $(top_builddir)/src/c/type/libFloatComplex.la \ + $(top_builddir)/src/c/operations/addition/libAddition.la \ + $(top_builddir)/src/fortran/lapack/libscilapack.la \ + $(top_builddir)/src/c/elementaryFunctions/asinh/libAsinh.la \ + $(top_builddir)/src/c/elementaryFunctions/asin/libAsin.la \ + $(top_builddir)/src/c/elementaryFunctions/log1p/libLog1p.la \ + 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$(MKDIR_P) `echo "$$dist_files" | \ + sed '/\//!d;s|^|$(distdir)/|;s,/[^/]*$$,,' | \ + sort -u` ;; \ + esac; \ + for file in $$dist_files; do \ + if test -f $$file || test -d $$file; then d=.; else d=$(srcdir); fi; \ + if test -d $$d/$$file; then \ + dir=`echo "/$$file" | sed -e 's,/[^/]*$$,,'`; \ + if test -d "$(distdir)/$$file"; then \ + find "$(distdir)/$$file" -type d ! -perm -700 -exec chmod u+rwx {} \;; \ + fi; \ + if test -d $(srcdir)/$$file && test $$d != $(srcdir); then \ + cp -fpR $(srcdir)/$$file "$(distdir)$$dir" || exit 1; \ + find "$(distdir)/$$file" -type d ! -perm -700 -exec chmod u+rwx {} \;; \ + fi; \ + cp -fpR $$d/$$file "$(distdir)$$dir" || exit 1; \ + else \ + test -f "$(distdir)/$$file" \ + || cp -p $$d/$$file "$(distdir)/$$file" \ + || exit 1; \ + fi; \ + done +check-am: all-am + $(MAKE) $(AM_MAKEFLAGS) $(check_PROGRAMS) + $(MAKE) $(AM_MAKEFLAGS) check-TESTS +check: check-am +all-am: Makefile $(LTLIBRARIES) +installdirs: + for dir in "$(DESTDIR)$(pkglibdir)"; do \ + test -z "$$dir" || $(MKDIR_P) "$$dir"; \ + done +install: install-am +install-exec: install-exec-am +install-data: install-data-am +uninstall: uninstall-am + +install-am: all-am + @$(MAKE) $(AM_MAKEFLAGS) install-exec-am install-data-am + +installcheck: installcheck-am +install-strip: + $(MAKE) $(AM_MAKEFLAGS) INSTALL_PROGRAM="$(INSTALL_STRIP_PROGRAM)" \ + install_sh_PROGRAM="$(INSTALL_STRIP_PROGRAM)" INSTALL_STRIP_FLAG=-s \ + `test -z '$(STRIP)' || \ + echo "INSTALL_PROGRAM_ENV=STRIPPROG='$(STRIP)'"` install +mostlyclean-generic: + +clean-generic: + +distclean-generic: + -test -z "$(CONFIG_CLEAN_FILES)" || rm -f $(CONFIG_CLEAN_FILES) + -test . = "$(srcdir)" || test -z "$(CONFIG_CLEAN_VPATH_FILES)" || rm -f $(CONFIG_CLEAN_VPATH_FILES) + +maintainer-clean-generic: + @echo "This command is intended for maintainers to use" + @echo "it deletes files that may require special tools to rebuild." +clean: clean-am + +clean-am: clean-checkPROGRAMS clean-generic clean-libtool \ + clean-pkglibLTLIBRARIES mostlyclean-am + +distclean: distclean-am + -rm -rf ./$(DEPDIR) + -rm -f Makefile +distclean-am: clean-am distclean-compile distclean-generic \ + distclean-tags + +dvi: dvi-am + +dvi-am: + +html: html-am + +html-am: + +info: info-am + +info-am: + +install-data-am: + +install-dvi: install-dvi-am + +install-dvi-am: + +install-exec-am: install-pkglibLTLIBRARIES + +install-html: install-html-am + +install-html-am: + +install-info: install-info-am + +install-info-am: + +install-man: + +install-pdf: install-pdf-am + +install-pdf-am: + +install-ps: install-ps-am + +install-ps-am: + +installcheck-am: + +maintainer-clean: maintainer-clean-am + -rm -rf ./$(DEPDIR) + -rm -f Makefile +maintainer-clean-am: distclean-am maintainer-clean-generic + +mostlyclean: mostlyclean-am + +mostlyclean-am: mostlyclean-compile mostlyclean-generic \ + mostlyclean-libtool + +pdf: pdf-am + +pdf-am: + +ps: ps-am + +ps-am: + +uninstall-am: uninstall-pkglibLTLIBRARIES + +.MAKE: check-am install-am install-strip + +.PHONY: CTAGS GTAGS all all-am check check-TESTS check-am clean \ + clean-checkPROGRAMS clean-generic clean-libtool \ + clean-pkglibLTLIBRARIES ctags distclean distclean-compile \ + distclean-generic distclean-libtool distclean-tags distdir dvi \ + dvi-am html html-am info info-am install install-am \ + install-data install-data-am install-dvi install-dvi-am \ + install-exec install-exec-am install-html install-html-am \ + install-info install-info-am install-man install-pdf \ + install-pdf-am install-pkglibLTLIBRARIES install-ps \ + install-ps-am install-strip installcheck installcheck-am \ + installdirs maintainer-clean maintainer-clean-generic \ + mostlyclean mostlyclean-compile mostlyclean-generic \ + mostlyclean-libtool pdf pdf-am ps ps-am tags uninstall \ + uninstall-am uninstall-pkglibLTLIBRARIES + + +# Tell versions [3.59,3.63) of GNU make to not export all variables. +# Otherwise a system limit (for SysV at least) may be exceeded. +.NOEXPORT: diff --git a/2.3-1/src/c/elementaryFunctions/asinh/casinha.c b/2.3-1/src/c/elementaryFunctions/asinh/casinha.c new file mode 100644 index 00000000..76108aaf --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/asinh/casinha.c @@ -0,0 +1,20 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2007-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "asinh.h" + +void casinha(floatComplex* x, int size, floatComplex* y) { + int i = 0; + for (i = 0; i < size; ++i) { + y[i] = casinhs(x[i]); + } +} diff --git a/2.3-1/src/c/elementaryFunctions/asinh/casinhs.c b/2.3-1/src/c/elementaryFunctions/asinh/casinhs.c new file mode 100644 index 00000000..0d90c5ec --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/asinh/casinhs.c @@ -0,0 +1,26 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2007-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +/* +// METHOD +// based on the formula asinh(z) = -i asin(i z) +*/ + +#include "asinh.h" +#include "asin.h" + +floatComplex casinhs(floatComplex z) { + floatComplex i_z = FloatComplex(-cimags(z), creals(z)); + floatComplex asin_i_z = casins(i_z); + + return FloatComplex(cimags(asin_i_z), -creals(asin_i_z)); +} diff --git a/2.3-1/src/c/elementaryFunctions/asinh/dasinha.c b/2.3-1/src/c/elementaryFunctions/asinh/dasinha.c new file mode 100644 index 00000000..0b6caf84 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/asinh/dasinha.c @@ -0,0 +1,20 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2007-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "asinh.h" + +void dasinha(double* x, int size, double* y) { + int i = 0; + for (i = 0; i < size; ++i) { + y[i] = dasinhs(x[i]); + } +} diff --git a/2.3-1/src/c/elementaryFunctions/asinh/dasinhs.c b/2.3-1/src/c/elementaryFunctions/asinh/dasinhs.c new file mode 100644 index 00000000..1e7c3037 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/asinh/dasinhs.c @@ -0,0 +1,24 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2007-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +/* +// METHOD +// based on the formula asinh(z) = -i asin(i z) +// In real case asinh(z) = imag(asin(i z)) +*/ + +#include "asinh.h" +#include "asin.h" + +double dasinhs(double x) { + return zimags(zasins(DoubleComplex(0.0, x))); +} diff --git a/2.3-1/src/c/elementaryFunctions/asinh/sasinha.c b/2.3-1/src/c/elementaryFunctions/asinh/sasinha.c new file mode 100644 index 00000000..e5dc9a32 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/asinh/sasinha.c @@ -0,0 +1,20 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2007-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "asinh.h" + +void sasinha(float* x, int size, float* y) { + int i = 0; + for (i = 0; i < size; ++i) { + y[i] = sasinhs(x[i]); + } +} diff --git a/2.3-1/src/c/elementaryFunctions/asinh/sasinhs.c b/2.3-1/src/c/elementaryFunctions/asinh/sasinhs.c new file mode 100644 index 00000000..ab12d16d --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/asinh/sasinhs.c @@ -0,0 +1,24 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +/* +// METHOD +// based on the formula asinh(z) = -i asin(i z) +// In real case asinh(z) = imag(asin(i z)) +*/ + +#include "asinh.h" +#include "asin.h" + +float sasinhs(float x) { + return cimags(casins(FloatComplex(0.0f, x))); +} diff --git a/2.3-1/src/c/elementaryFunctions/asinh/testAsinh.h b/2.3-1/src/c/elementaryFunctions/asinh/testAsinh.h new file mode 100644 index 00000000..4352300a --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/asinh/testAsinh.h @@ -0,0 +1,41 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2007-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#ifndef _TESTASINH_H_ +#define _TESTASINH_H_ + +#include <stdio.h> +#include <assert.h> +#include <math.h> +#include "asinh.h" +#include "constant.h" + + +void sasinhsTest(void); + +void dasinhsTest(void); + +void casinhsTest(void); + +void zasinhsTest(void); + +void sasinhaTest(void); + +void dasinhaTest(void); + +void casinhaTest(void); + +void zasinhaTest(void); + +int testAsinh(void); + +#endif /* ! _TESTASINH_H_ */ diff --git a/2.3-1/src/c/elementaryFunctions/asinh/testDoubleAsinh.c b/2.3-1/src/c/elementaryFunctions/asinh/testDoubleAsinh.c new file mode 100644 index 00000000..105c32af --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/asinh/testDoubleAsinh.c @@ -0,0 +1,497 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "testAsinh.h" + + + +#define SOURCE {-1.3576117896733277401466,-1.7637832035201410629810,0.3855566139299755334946,\ +-0.2160798468986061537933,0.5079016244365412990902,-0.6713405437771273742698,\ +1.2405146112769958044453,1.3996914808133518182132,2.455810932856137718261,\ +-0.140780207215658148545,-0.4702849878182233100965,0.0273321471208497618344,\ +0.1272959744763040301763,1.0077609385751984394375,-0.5992823608151862657678,\ +-1.4909735993420030197854,1.1850328323549159659223,-0.7532372700108580509948,\ +0.1544844959811866313970,-0.4395251247591652199453,-0.1710077835697096926282,\ +-0.0020392103157046703732,2.3911285878389949566269,-1.8171171150936700211531,\ +-0.7159791420443786247318,0.5100070355081758322058,-0.9023845512384770506387,\ +0.1404573536528139765522,1.101925188407546940539,-0.0755748286838698046797,\ +0.0052019860396882644168,-0.3525317421211751067744,0.9599782396584397581307,\ +-0.3373393328184763340083,-0.9424787821879185845120,1.107342433121214275715,\ +0.5275760618563184456420,2.2874014544326271014540,0.8431549305721607323605,\ +-0.1180124731434434998123,-0.4202553394312918411124,-1.114616954771672663327,\ +0.7423526085481280123446,-0.8110912540737037490501,-0.2279425085104251347268,\ +0.6450672141930872127702,0.7812946955887702937815,1.4559939295961445981931,\ +1.4808632601102580395036,-0.0561674797508281767322,-0.6499637724416639228409,\ +0.9406577697059905762700,0.4408659857477613686072,1.0630757257539220628217,\ +-1.3783233641019425608221,-0.3062086297728683903507,0.3570701509900506276374,\ +0.2722352561686949279363,-0.8234027247256571202527,-0.5990920922251514735279,\ +0.8126089186562406307957,-0.9202541957145593531919,0.4637689483065319806521,\ +2.7285780311422769273122,-0.5523000528063060077244,0.5645499540468182919639,\ 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+-0.5126921017648137235412,0.8253623930867394209443,-0.5636867633411185574133,\ +1.4780035136607696522049,-0.1150898513104453707578,-0.0895959753888824761425,\ +-0.1719733530741588689583,0.2269131790250100699780,2.0342102181126362481223,\ +-0.0976186373893909720145,-1.0193857468205604899,0.778026114056752038373,\ +0.3469309321844699645077,-0.2119385547567329830532,0.1122013143743656737872,\ +0.5130455426994967593757,-0.9836962738165191399986,-1.8662473753394661635241,\ +0.5046191490309642757595,0.5397589965174257597980,0.1495290449776452701425,\ +-1.0010126697848658050560,-1.231087303316227510308,0.493771591129457787517,\ +0.0084749296034232757258,0.6528794554325030308206,1.3165434517533367575481,\ +-0.7644706245855447113158,1.60959294894722515501,-0.3945002118117288958388,\ +-1.7397191133485980785167,0.7283944071784652640744,-0.8252534213629215686936,\ +0.1067480143242338502807,1.4303021806407054672405,-0.9653188502218088551388,\ 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+0.8667822397875659667932,-0.8918524882230300931951,0.5818810906621436629393,\ +0.5786477410918646757665,-1.2824019249961673416749,-0.8858272202103619763491,\ +1.49931415247364041576,-0.3191008638398869501351,-0.6302800825827241659738,\ +-0.9307697616588104239099,-0.2218962076254625825911,0.5504657591791385362612,\ +0.7937732776747626894931,0.4530121091137990219089,-0.5561836772913717474864,\ +-0.0487810094749783207391,1.0373690852013959240452,-1.9605345216190741552964,\ +-0.6318190008183720562940,-0.2595506312908315571519,1.6655693943633802511783,\ +0.2643484753712377899326,0.5166487752761181884154,-1.7642021092407271787295,\ +0.9519817124353935344772,1.5941109627321103925368,-0.3268346133298423716873,\ +-0.8591341754919610274044,-0.5067465121338621258928,0.4012524027420211192307,\ +-1.3781772559142455580883,-1.0900200484217259511155,0.7071849131547247591101,\ +0.6311112492498477388736,-1.5661486235109134401711,-0.3037032596268335327139,\ +-2.3928711979350367755615,0.9280630230889591603116,1.234345031017325400313,\ +0.0245382276611107209841,-1.7795591476102954331395,-0.1457340296796875434016,\ +-1.4175919090731374794245,-1.0931645829165108629866,0.0976120560124896369247,\ +-0.4917932561715864236973,0.3236361331498361360026,-1.3493789441767958248164,\ +-0.4975410901203008995353,-0.5175498508985710843788,1.9028534065523732277114,\ +-1.0213015320689262654952,0.7201673839470011939667,-0.229479324750370056174,\ +0.0507808834449509222120,-0.6036524407661360003274,-0.3189899214184117592907,\ +0.8969390978377852485792,0.0689550751790670851671,-0.3842312216289716086948,\ +-0.5817559662860881664059,-1.4228206622942274339749,-0.8055937171612096436846,\ +-0.8761791574203163790457,0.6999940081500163335804,0.3592083211755666694032,\ +-2.2759824091756848396528,1.1126243656877470300515,-1.490042708505755930659,\ +-0.2517675074289520420479,-0.4649616224894683735869,-0.9304122891120238936224,\ +-0.2780945839682648634827,-1.186365868114249266796,-1.0805465619847403058174,\ +-0.2982113561322028982836,-0.4608151973468663786804,0.5142626215675811796046,\ +-0.8962085262358048254328,-1.8912922138922239057024,1.5339839202719194322100,\ +-1.0493592314888038341536,1.5275565058768361126340,-0.3000289995792813080300,\ +-1.2901253199534357118949,0.4517205659557054775455,0.1925085892467791881533,\ +0.4244705571771024699146,1.1465794102472002258253} + +#define ZRESULTR {0.2881823261718455264635,-1.2239148834349047323400,-0.7845879395690421587162,\ +1.7398908843418365854916,0.6267968040978579846723,-0.0069618200210163757799,\ +-1.3647060336777470102021,0.3067781755755824568688,0.8879601142484547793288,\ +-1.1408081118402808584733,-1.0511217892257147532575,-0.4630227853264242132703,\ +-0.8052300885146775888401,-1.0799054881923455528892,-0.3673239873834487356774,\ +-1.3895193771431015861140,1.4748704381210364644517,-0.4721815868535457205724,\ +-0.0800715444386163321955,0.7328675926305248111703,1.1062012776691256821238,\ +1.1578188890116758447135,0.7250736097899580512305,-0.7268209399811761395327,\ +-1.020749615675486277055,-0.7543891378811746761812,0.1777916795470285138414,\ +1.224903809672051702151,-1.074529895353530717372,0.6903548013878436639956,\ +-0.4611640141379182988857,0.933556473565831823613,1.4531339378119088046049,\ +1.1451427225776011908920,-1.0686132863053487973559,-0.1688483441440512822229,\ +-0.1889456477264452038956,0.5985578048499338166266,0.6993236665323845357989,\ +-0.4109810453160360754765,0.4971360116983927213141,0.3821580291233257486994,\ +0.4128919091647823558233,0.9758538921704605906271,1.0346135696067118026065,\ +-0.2478280180540722854587,0.6216905071606976251886,-0.0450118169844396301404,\ +0.3340415020637265142156,-0.4315313860868430495543,1.3446595868643815840926,\ +-1.4033414360880258620057,0.8274220763035017300879,-1.309144795084008494612,\ +-1.3004176310924011605863,1.4613978516551788811029,0.4652521895005036212112,\ +-0.3810083873666035292338,-0.4305652750257212835194,-1.0463819862831613693999,\ +-0.0968555231163464591670,-0.7621978211341690068181,-1.0442639351316740370379,\ +0.8551375533721097266238,0.4624338658491132791895,-0.2135461711123592121186,\ +-0.9192783709328955499274,1.406572519212488048268,-0.5996917427163407365853,\ +0.8472849136812159454024,-0.0948718277212909494311,-0.6635046470522460992925,\ +1.102552918644890800337,1.0241591511876448894469,-1.1946095915247210150767,\ +1.3012416677676885701231,-0.860094399966521483414,0.4848763007604853791932,\ +0.7459402751068522352540,0.9429407450799555112653,-0.2932662625241302944978,\ +0.8365772498525353428889,0.4339900657778844039747,-0.0520088659229247518567,\ +0.540163948037489571874,-1.5617045052623743650599,-1.1990755672824380262398,\ +1.6897714229424107834632,-0.4304392780607278479188,-0.7314935627224536940361,\ +-0.2521660858364912494167,-1.1139709472810304102808,1.03593284093582016503,\ +0.9879482215425008373444,1.008898373366306833177,-0.5387894626210441018088,\ +1.0404295395317768591070,-0.2970761763070669525533,-1.1952939328908356309000,\ +0.3857997224260597546319,0.8038817262315489653446,-0.5212531537640049394966,\ +-0.3822389517390957225373,0.3966495909859810709008,-0.6230521638604892276092,\ +-0.7692209701300163349202,1.03425437487647720047,-0.0946733232120821749378,\ +1.0396309891046779938506,0.0495385539831420876333,0.6452562376798283150237,\ +1.1985497422790862831476,1.2458585900431864423865,0.8349246161988523873276,\ +0.5689579490080320933743,-0.7806209699664544698905,-1.5187452500641256403213,\ +-1.0796802038517956390251,0.9639374126836365297422,1.1711728912763936794050,\ +-0.362488012679416937711,-0.0199872602643281528645,-0.5128264059242761963020,\ +0.8492028743473079011039,0.1591587587129435210631,0.3212111561314560104208,\ +0.5775318673000989777577,-0.8249558967503766160334,-1.7154192273737123297650,\ +0.9346304365709510175719,-1.2804432024400131950870,-1.1426657840798974952179,\ +0.4703017265736584850977,-0.9677493848474170157203,-1.2320829767979621927054,\ +0.4762683633703864716225,-1.0444970147674126348392,0.2072645201710894835578,\ +-0.7498010260478793487238,0.9188781401771745072082,-0.4789588845434366026765,\ +0.8476937452776511783270,0.8895027647705600060135,0.7682169660294876356588,\ +0.2922093151936491217668,-1.0429114806489117039945,1.166492728893671504409,\ +-1.8646253504096552688907,-0.8923239533314403226782,1.0666374040344190898821,\ +-0.7669950473749445052363,-1.3585386555510787776058,-0.1491456224121993634490,\ +1.354597929546794699007,-1.4004360287243708960148,0.9567139977921835791719,\ +-0.1859618971982733570680,0.0067522660769214690180,-0.842830481930881947328,\ +-0.0503539309377906904586,-0.5389456072426579424928,-1.2991753231583602623544,\ +1.0064698858838660999737,-0.7727166159011478185903,-1.375918311051623987851,\ +-0.5968365322787659854598,0.4909328325978893903248,0.0069327197759769939797,\ +-0.4109069224660110153380,-0.8305261099098545374275,1.067766372332880076002,\ +0.1364036525382384124061,1.0185816452043403579353,0.2263896344197315613211,\ +0.7241797053868859190828,-0.3310339119084142467386,-0.4485953806654829345568,\ +1.4637030484564286236804,0.8062581119903107218505,1.135230070733268981087,\ +0.8486739138084887779101,0.8869200257723099944940,0.8304138989692378958196,\ +0.4970805707137128659490,-1.6189532479764259242927,0.7536345887109229257916,\ +0.0614297741451279438740,-0.9217679644120017057318,-0.1351912284135200204016,\ +0.9344534227267771164804,-1.3237759469951597690596,-1.2409772949992454726953,\ +-0.4266400610039619012426,1.2242961173386468498592,-1.3507787481217943259537,\ +-0.7743193525686042910650,1.0905655681187926830944,1.869097852573508911078,\ +0.8141159942263986870614,-0.5353611933969746328188} + +#define ZRESULTI {1.0927665474832626291146,0.0577041411945533808114,-0.6605411939586326441898,\ +1.4173928005937053153929,-0.8196938376873322829042,-0.3389699587748392084485,\ +0.6182411929183926346809,0.2489298772050817232238,-0.1790179858054015138435,\ +1.2497543779018556175942,0.2282445233800083350673,0.3316185520857942714557,\ +-1.1178350760886399672955,-0.5992404494636266454322,0.5409431572062767257236,\ +0.165426376161976390611,-1.1122536593055589726475,0.1171231329897951256580,\ +-0.0827933061236485051682,0.4436212447193593200190,-1.2403328057018132568601,\ +0.6960798868922111193314,-0.0629757037081154352753,0.2697689038111338311055,\ +0.3922302209885859536342,1.4842743869253867128322,-0.1751428834182987837043,\ +-1.13801740936157136375,0.2394213509890497915134,-0.2668464988788373237760,\ +-0.7726426977316005473284,1.3382415873096298319922,-0.0269807302035863991185,\ +0.1656312162752983929703,-0.1911246952977092017356,0.2339836780169318453115,\ +1.0284310438096477824388,0.8686878315011077322794,0.3246111072217529036621,\ +0.2706500543034189298908,-0.0935407508346946525712,-0.2477506860556301926390,\ +0.5421539099371334158306,-0.7327711559744070068945,1.05214358953255682216,\ +0.0214509576394467729732,0.2493724089381304798163,0.1326531466862980457311,\ +-0.5409686898264083332322,0.7065143938000820744705,-1.3284854753780470648650,\ +0.3984512917058077308141,-1.5446072484052193463100,-0.1469509150678137976431,\ +0.3947301571210936610434,1.461008167394748147316,-0.8567501445560671280433,\ +-0.0046292376134026641879,0.9577036871573997300899,-0.1140752778705255016112,\ +0.0163250605343483005949,0.3628386917181465332050,0.9320951721399445277783,\ +1.44423353597128478754,-0.7628206936973814800140,-0.9280966118664348840639,\ +1.2849894108105837098321,1.2792864989827095190122,0.9061761299907579170210,\ +-0.8122605612540356734286,0.1350064725981316715586,0.4883936062374085174120,\ +-1.102637196793889051705,-0.3106468603302708908487,0.4543964386247798525886,\ +0.0885735454738456329249,0.0254706011136682855533,-0.8796254633651946486239,\ +0.151022627304807338655,1.1452851102523748938466,0.3283556388648877777392,\ +-0.9434455972747952667845,0.1659123702555805879300,0.6086281726098896616151,\ +0.631662047814702143356,0.6431181331610840157254,-0.5760553428914201301581,\ +0.8026360136122261401681,-0.1814351276467410234439,-0.1944579368330171531554,\ +-0.2953494745705410595704,-0.4250058789202441067445,0.599813865521373279499,\ +0.0016830438518425523946,0.8854731871017331723550,-0.3534985427172745442448,\ +-0.6383931728072353983805,0.3358307199066276060861,-0.0711733718807077142543,\ +0.2207727851446303901639,-0.8556718335996058577564,-0.1281371029552695606224,\ +-0.0358976629777693137524,0.2532084228703710415687,0.983986642358089413918,\ +1.1345925939829912820755,-0.0898559156199065373061,-1.1416915329673189560822,\ +-0.9870037974692073001748,-0.2283270051627071806077,0.0112664968061259064547,\ +0.4998464672322767698986,-0.4937534754955061888637,0.4389132738737425154518,\ +0.5191615917775272981416,-1.330080589614465180759,-0.3792401398168883108752,\ +1.1512099997314479971067,-0.2141264512433771194377,-0.3645359117298094808746,\ +-1.0609046855212507232125,-0.2237132816089271170057,0.5066458933231118288987,\ +0.6114387233853804115569,0.4637825784576218857147,-0.5570387380565021695489,\ +-0.0416532931678999865377,0.8675730496349238762832,-0.7521971544712148238787,\ +-0.4444425039044248570974,-0.1343255157657375076230,1.3031888522890535675458,\ +0.2398794824711508455461,0.3501788639961876947737,-1.2484148728039676790047,\ +1.0223862780907517766593,1.5114877336366283611113,-0.3256639805152193312132,\ +-0.7257147000802074421344,-0.3563177118938634091450,0.367466380314942664409,\ +-1.5032253124394940879682,-0.8731092741090689113292,0.5703012583169800864269,\ +0.6498833797759138164452,-1.3804786941428137669874,-0.1733188156619589748164,\ +-0.8098487944615534450676,0.7091099644264757806411,0.8627806630820323841036,\ +0.0187490818204580703132,-1.0316116049359651540840,-0.1446317495535741626256,\ +-0.7559013344655626243096,-0.5329078157992787057040,0.0653983668850169619358,\ +-0.5045465362161873912328,0.3295621318182701542376,-1.3711989596398608259875,\ +-0.5200355557922887728139,-0.4673488331710942134123,1.3098786184351398631520,\ +-0.7189565120188516900157,0.580208200526596162838,-0.1091990841314347954194,\ +0.0429221122996483323009,-0.5675416667058814645941,-0.3246554520854594838575,\ +0.9723329710924543123340,0.0505316478341986258238,-0.2385123070932486100126,\ +-0.6142986606043344677275,-1.1409813222703388824186,-0.9033119064286492250204,\ +-0.7584587763797572268487,0.7252421018090512427889,0.3319280479688784257775,\ +-1.5464687515566899467245,0.9763347698321626078055,-1.0511809923664583443781,\ +-0.1831638202759971745248,-0.3336438319634690841120,-0.7499286125479456277532,\ +-0.2495331996617490000201,-0.4693439688376106477818,-0.9839213631021112016484,\ +-0.3022296870844187743899,-0.3220832096726037319101,0.5347182539371353460211,\ +-0.6559994287878105900802,-1.2228456605235495935347,0.9588662882096035122714,\ +-1.2891530456629314294048,0.9731441796186428572213,-0.1461840118371629804184,\ +-1.3757278523698810435150,0.2762809284691948308321,0.0580458636704428015962,\ +0.3198225937522309325622,1.5529789344620548163789} + +void dasinhsTest(void) { + double in[]= SOURCE; + double res[]= RESULT; + double out; + int i=0; + + for (i=0;i<200;i++){ + out=dasinhs(in[i]); + assert ( ( (fabs(out-res[i])) / (fabs(out)) ) <3e-15); + } +} + +void zasinhsTest(void) { + double inR[]=ZSOURCER; + double inI[]=ZSOURCEI; + double resR[]=ZRESULTR; + double resI[]=ZRESULTI; + doubleComplex in, out; + int i=0; + + for (i=0;i<200;i++){ + in=DoubleComplex(inR[i],inI[i]); + out = zasinhs(in); + + assert( ( ( fabs( zreals(out)-resR[i] ) ) / (fabs(zreals(out)) ) ) <3e-15); + assert( ( ( fabs( zimags(out)-resI[i] ) ) / (fabs(zimags(out)) ) ) <3e-15); + } +} + +void dasinhaTest(void) { + double in[]= SOURCE; + double res[]= RESULT; + double out[200]; + int i=0; + + dasinha(in,200,out); + for (i=0;i<200;i++){ + assert ( ( (fabs(out[i]-res[i])) / (fabs(out[i])) ) <3e-15); + }} + +void zasinhaTest(void) { + double inR[]=ZSOURCER; + double inI[]=ZSOURCEI; + double resR[]=ZRESULTR; + double resI[]=ZRESULTI; + doubleComplex in[200], out[200]; + int i=0; + + for (i=0;i<200;i++){ + in[i]=DoubleComplex(inR[i],inI[i]); + } + zasinha(in,200,out); + for (i=0;i<200;i++){ + assert( ( ( fabs( zreals(out[i])-resR[i] ) ) / (fabs(zreals(out[i])) ) ) <3e-15); + assert( ( ( fabs( zimags(out[i])-resI[i] ) ) / (fabs(zimags(out[i])) ) ) <3e-15); + } +} + +int testAsinh(void) { + printf("\n>>>> Double Hyperbolic ArcSine Tests\n"); + dasinhsTest(); + zasinhsTest(); + dasinhaTest(); + zasinhaTest(); + + return 0; +} + +int main(void) { + assert(testAsinh() == 0); + return 0; +} diff --git a/2.3-1/src/c/elementaryFunctions/asinh/testFloatAsinh.c b/2.3-1/src/c/elementaryFunctions/asinh/testFloatAsinh.c new file mode 100644 index 00000000..ab6add0a --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/asinh/testFloatAsinh.c @@ -0,0 +1,497 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "testAsinh.h" + + + +#define SOURCE {-1.3576117896733277401466f,-1.7637832035201410629810f,0.3855566139299755334946f,\ +-0.2160798468986061537933f,0.5079016244365412990902f,-0.6713405437771273742698f,\ +1.2405146112769958044453f,1.3996914808133518182132f,2.455810932856137718261f,\ +-0.140780207215658148545f,-0.4702849878182233100965f,0.0273321471208497618344f,\ +0.1272959744763040301763f,1.0077609385751984394375f,-0.5992823608151862657678f,\ +-1.4909735993420030197854f,1.1850328323549159659223f,-0.7532372700108580509948f,\ +0.1544844959811866313970f,-0.4395251247591652199453f,-0.1710077835697096926282f,\ +-0.0020392103157046703732f,2.3911285878389949566269f,-1.8171171150936700211531f,\ +-0.7159791420443786247318f,0.5100070355081758322058f,-0.9023845512384770506387f,\ +0.1404573536528139765522f,1.101925188407546940539f,-0.0755748286838698046797f,\ +0.0052019860396882644168f,-0.3525317421211751067744f,0.9599782396584397581307f,\ +-0.3373393328184763340083f,-0.9424787821879185845120f,1.107342433121214275715f,\ +0.5275760618563184456420f,2.2874014544326271014540f,0.8431549305721607323605f,\ +-0.1180124731434434998123f,-0.4202553394312918411124f,-1.114616954771672663327f,\ +0.7423526085481280123446f,-0.8110912540737037490501f,-0.2279425085104251347268f,\ +0.6450672141930872127702f,0.7812946955887702937815f,1.4559939295961445981931f,\ +1.4808632601102580395036f,-0.0561674797508281767322f,-0.6499637724416639228409f,\ +0.9406577697059905762700f,0.4408659857477613686072f,1.0630757257539220628217f,\ +-1.3783233641019425608221f,-0.3062086297728683903507f,0.3570701509900506276374f,\ +0.2722352561686949279363f,-0.8234027247256571202527f,-0.5990920922251514735279f,\ +0.8126089186562406307957f,-0.9202541957145593531919f,0.4637689483065319806521f,\ +2.7285780311422769273122f,-0.5523000528063060077244f,0.5645499540468182919639f,\ +-0.1966239792749471526623f,0.3232076144184721222530f,0.2044915219084416369011f,\ +0.9122595139735795166658f,1.32862804461268768641f,-0.3933121244849541731092f,\ +0.6800596076198115458311f,-0.0390966465388340317366f,0.4460664717379928534413f,\ +0.0466968662605830517331f,-1.159097013642337747896f,-0.1516000867442619526315f,\ +1.099835547132880231302f,-1.8591997482220850024248f,-1.5859733492347323213778f,\ +-2.3518422239705527587716f,-0.0363309315202365243347f,-0.3671077430846361733252f,\ +1.4974841041542252817464f,0.1166082461631383904166f,0.6150562435701190100446f,\ +-1.1854669210396810985486f,0.3562903039222897749738f,0.3468046496992864269338f,\ +-0.7767949783190361001672f,-0.0388605946733660209680f,0.4658948000641440767566f,\ +2.5397452836287333077792f,-1.6499955625089919308834f,-1.730408375709416413102f,\ +-0.5118965544481819396339f,0.6229106301535243250811f,1.2541834743916775440908f,\ +-0.4242067654129669240781f,-2.4609745338396713520979f,-0.5875679117078018709464f,\ +0.0525256277866840218249f,-0.0221901005868065138993f,0.0047340660621973179242f,\ +0.5954335288237887491292f,1.240326181995874410546f,-0.4474314847009220885710f,\ +0.309985603496633732590f,0.1897272751476858920761f,-0.5041309171227571495066f,\ +-1.0407049076417729249755f,-0.8790182225827031237131f,-0.8241442015820352740008f,\ +0.0114520840633361691702f,-0.8375012162452729613804f,1.5044689875616372720657f,\ +-1.4872169103117691690841f,-0.9491620445763213620438f,-0.4714572242020408365804f,\ +-0.9944436112957297790871f,-0.7897744853013518584461f,-1.9610605179993771951530f,\ +-0.5551411828413486126976f,-0.1498033190111577317438f,1.049612455441040648196f,\ +-1.873247408264758551155f,-1.7768646550852811305532f,2.055125969134249608317f,\ +0.4181799324473139956027f,0.4756981765178688870144f,-0.0497090050304667893655f,\ +-0.8254170186481527560218f,0.3315212467523889205978f,-0.1049083295446031904863f,\ +0.9436361823785577307433f,-0.4297495677869329622212f,0.6041720693587251389545f,\ +-0.5126921017648137235412f,0.8253623930867394209443f,-0.5636867633411185574133f,\ +1.4780035136607696522049f,-0.1150898513104453707578f,-0.0895959753888824761425f,\ +-0.1719733530741588689583f,0.2269131790250100699780f,2.0342102181126362481223f,\ +-0.0976186373893909720145f,-1.0193857468205604899f,0.778026114056752038373f,\ +0.3469309321844699645077f,-0.2119385547567329830532f,0.1122013143743656737872f,\ +0.5130455426994967593757f,-0.9836962738165191399986f,-1.8662473753394661635241f,\ +0.5046191490309642757595f,0.5397589965174257597980f,0.1495290449776452701425f,\ +-1.0010126697848658050560f,-1.231087303316227510308f,0.493771591129457787517f,\ +0.0084749296034232757258f,0.6528794554325030308206f,1.3165434517533367575481f,\ +-0.7644706245855447113158f,1.60959294894722515501f,-0.3945002118117288958388f,\ +-1.7397191133485980785167f,0.7283944071784652640744f,-0.8252534213629215686936f,\ +0.1067480143242338502807f,1.4303021806407054672405f,-0.9653188502218088551388f,\ +0.3473141482678416824825f,1.3246017895509272221943f,2.2493951812296155701176f,\ +-0.6569708783346918101742f,-0.321524642114760117462f,0.6051546744959480639281f,\ +0.3028414522677088660529f,-0.6449695892069078340114f,0.3426130327302095435194f,\ +-0.9643932135296735541630f,1.3325612893853038265490f,-1.628074335418207230219f,\ +0.7075076309451185929689f,1.0853008279162978944044f,-2.3506278976788554935240f,\ +-0.1463993258475799474905f,-1.0813242242905494183702f,0.8848173893719444293993f,\ +-0.8759582027327027509145f,-0.8344888331049786778237f,-1.0485734628076319729928f,\ +1.9962933549994803517080f,1.2493174700563109968954f,1.1394362749053514871633f,\ +-0.2197402489428784411185f,0.3152457615995896134109f} + +#define RESULT {-1.1130949556588403126511f,-1.3327159168755193796585f,0.3765918165954149632313f,\ +-0.2144327449409605401698f,0.4882680607211341006213f,-0.6290298228269889380115f,\ +1.0416537998862092084806f,1.1378027100741174848508f,1.6306935238556961031975f,\ +-0.1403192842222721059553f,-0.4544772654936784506141f,0.0273287452012760077869f,\ +0.1269546678262620797994f,0.8868507654832032960357f,-0.568209430801213888351f,\ +-1.1897458189645284676317f,1.0063560088725012064970f,-0.6957349846601869058915f,\ +0.1538765289352577170234f,-0.4264787556420423508818f,-0.1701850823931514988807f,\ +-0.0020392089024058542880f,1.6060204471410550741695f,-1.3587234662009097796442f,\ +-0.6657080515933866404765f,0.4901444289074484705893f,-0.8106383081775411225678f,\ +0.1399995760847499992607f,0.9516413314489057251322f,-0.0755030713336432846017f,\ +0.0052019625784457792020f,-0.3456102163306026819889f,0.8527889195091039598040f,\ +-0.3312482849825826303203f,-0.8401095674014050773692f,0.9552769725934540101520f,\ +0.5057396137890651788283f,1.5652435713544583517631f,0.7660130911978242362892f,\ +-0.1177402502570575049123f,-0.4087756154845550438104f,-0.9601436921836913329642f,\ +0.6870180358136419584980f,-0.7413056602559416896625f,-0.2260133834402236752137f,\ +0.607083791196235011967f,0.7179951440904949189203f,1.1701025225825925080159f,\ +1.1841009702891132082669f,-0.0561379888707583402097f,-0.6111939387463327655325f,\ +0.8387837653657870262691f,0.4277059773372764994726f,0.9252791007143230661569f,\ +-1.1253178411086610655f,-0.3016147291750726489035f,0.3498873875038394642978f,\ +0.2689800399453179946541f,-0.7508385861915640724362f,-0.568046218336308084140f,\ +0.7424839156827229835756f,-0.8238461490952974086710f,0.4485733597383650406165f,\ +1.7289314850929364819621f,-0.5274948117440469985695f,0.5381900831525847639369f,\ +-0.1953785803896550821168f,0.3178295637778837390286f,0.2030924952508830483300f,\ +0.8179516300830952379997f,1.0957859238613814056862f,-0.3838186466908449778757f,\ +0.6362542602331872076959f,-0.0390866932016993157140f,0.4324599635687117471505f,\ +0.0466799117153936446445f,-0.9895220015504287980335f,-0.1510253177999459628378f,\ +0.9502363023238964423456f,-1.3788344661100282451116f,-1.2415257056941875202227f,\ +-1.5907556842186492129798f,-0.0363229438428324669097f,-0.3593253093499745309813f,\ +1.1933668386250828596928f,0.1163455870775610828671f,0.5816925710627691703536f,\ +-1.0066359311257613295965f,0.3491528652755562234233f,0.3402040976525141924292f,\ +-0.7144454627768908050456f,-0.0388508204533765666433f,0.4505011238681072560652f,\ +1.6618918653106427019139f,-1.2751867809374948237178f,-1.3161363888578068159774f,\ +-0.4918270306483571441269f,0.5883710719531183297448f,1.0502037442465796956981f,\ +-0.4124158523209305871049f,-1.6326391191927918100646f,-0.5581352790789477769096f,\ +0.0525015052004256660423f,-0.0221882799205271458165f,0.0047340483795489029725f,\ +0.5649052397488373289391f,1.0415355372390291410767f,-0.4337062598861871065559f,\ +0.3052242689715726209343f,0.1886070763157441099178f,-0.4849035737297955339642f,\ +-0.9098654196250280934422f,-0.7931897365608786554247f,-0.7514108860522482613575f,\ +0.0114518337541998777018f,-0.7616847132530191188948f,1.1972396117455856856537f,\ +-1.1876514534079536389299f,-0.8449650527155313506356f,-0.4555378112663634460056f,\ +-0.8774391641368382011024f,-0.7246635421278604383133f,-1.4260843463597587810199f,\ +-0.5299803397861506670807f,-0.1492486124002971037417f,0.9160234338985321356219f,\ +-1.3854693118499961101975f,-1.339149741178953689769f,1.4680202081995989971119f,\ +0.4068615933419172381313f,0.4593706772145678129959f,-0.0496885560579486892929f,\ +-0.7523928088748154108245f,0.3257305872841815830299f,-0.1047168437798993573251f,\ +0.8409515953244546260237f,-0.4175134246305884921924f,0.5723991247141133609233f,\ +-0.4925350737504667897326f,0.7523506802368506996004f,-0.5374382677208087155662f,\ +1.1824994989469264083937f,-0.1148372801243118385139f,-0.0894765353119480744137f,\ +-0.1711367593250398000393f,0.2250096841326320595833f,1.458830901005770064316f,\ +-0.0974642573471812823094f,-0.8950151622701945086646f,0.7154174354590427942213f,\ +0.3403234064876564657354f,-0.2103831526165375054305f,0.1119672185619183107930f,\ +0.4928495654965970862449f,-0.8697979955142227659337f,-1.382167978700230337452f,\ +0.4853394960873701480253f,0.5164877528407616491535f,0.1489773595696585739567f,\ +-0.8820894714376154022162f,-1.0357236173571910953228f,0.4756340389263381540630f,\ +0.0084748281555349427863f,0.6136369862616236625641f,1.0884976091419886756739f,\ +-0.7046834979102297724651f,1.254056645766540967202f,-0.3849240656020492257205f,\ +-1.3207856959376931271777f,0.6757730196964429891793f,-0.7522666350656633804661f,\ +0.1065463121770779120201f,1.155469512029384748786f,-0.8566364746899163273852f,\ +0.3406854318087456645614f,1.0933623617966952146219f,1.5499122891284196068540f,\ +-0.6170596901911918896744f,-0.3162277642902040497574f,0.5732399668068761666717f,\ +0.2983935984890606074593f,-0.6070017519078403367416f,0.3362413129909137543549f,\ +-0.8559703502467290725519f,1.0981489764525824703867f,-1.2637694566754069658288f,\ +0.6588062099967662010869f,0.9404229224232689698937f,-1.590280419973736147909f,\ +-0.1458813492114517662568f,-0.9377256428290303702511f,0.7975391112088442424621f,\ +-0.7908896752603351565369f,-0.7593735645090678998415f,-0.9153065625835585805703f,\ +1.441976583204267914340f,1.0471665685842834747632f,0.9766162941953494547320f,\ +-0.2180092160957680658129f,0.3102448153202543856821f} + + +#define CSOURCER {0.1344153599005591392945f,-1.5506135890216410366804f,-0.6851077106999041710367f,\ +0.4218254137797516900577f,0.4563186792784946765877f,-0.0065657292828231895304f,\ +-1.4909053660893785142605f,0.3020078702400747494572f,0.9932063361099687792688f,\ +-0.4433136654301204071515f,-1.2230912696221460933543f,-0.4536074652511654647924f,\ +-0.391728395210721336284f,-1.0754644749418362792426f,-0.3220075728643138068819f,\ +-1.8561721663709394025688f,0.9166361449615868517427f,-0.4865676280317013935317f,\ +-0.0798825634299456799337f,0.7227932226211960520246f,0.4367586477867241301354f,\ +1.100708465607679542586f,0.7887304681164191144660f,-0.7638617615134800642451f,\ +-1.1157778009204568636648f,-0.0715514394916681589764f,0.1759955522740979383389f,\ +0.6521704771208436390850f,-1.2566799200234315403435f,0.7200913102328155845910f,\ +-0.3420550667112094989086f,0.2477935566640704911912f,2.0205940701992970431888f,\ +1.3930268695166325709778f,-1.2605487293586259411882f,-0.1650288634784027319569f,\ +-0.0981081330322927658294f,0.4100655669623185506367f,0.7181621264742018562188f,\ +-0.4072630840419457221024f,0.5156039430832634051782f,0.3795734781395984636099f,\ +0.3638182194100580413298f,0.8461109103084072380341f,0.6093905395787995171730f,\ +-0.2503150987783319125768f,0.6420253514641469649860f,-0.0446314315869399819148f,\ +0.2916988037421140433914f,-0.3385179884731976951429f,0.4290547410494972568884f,\ +-1.7617580904822116583119f,0.0242252644066083683283f,-1.6979773429025941666737f,\ +-1.5685374082937220130418f,0.2235220732382334762889f,0.3158040584918663795655f,\ +-0.3902896794740354780018f,-0.2554731784615550393980f,-1.2399505074947390070861f,\ +-0.0969941013810174113008f,-0.7835998873676693898815f,-0.7420185738540517883521f,\ +0.1215847078229450456410f,0.346331144382537814419f,-0.1289657459832099506425f,\ +-0.2972509851392565738415f,0.5513684955823417999099f,-0.3924372370508544816126f,\ +0.6550918706396454682661f,-0.0941496244175293039991f,-0.6298808116548983981886f,\ +0.6046273337026021321705f,1.154776599111647650275f,-1.3475403271419439388268f,\ +1.6941635868888738070126f,-0.9698161544930480326698f,0.321333626597992860763f,\ +0.8077673631787291030903f,0.4495327099693594008478f,-0.2815944820401523052134f,\ +0.5503911320698096076853f,0.4415940612643087237466f,-0.0426890352355768151749f,\ +0.4574486820024267763607f,-1.8233880107049311725120f,-1.2644581540832258159668f,\ +1.8182154451811951556550f,-0.4365692326313646565161f,-0.7834466000398015994577f,\ +-0.2438122853723030947215f,-1.238179759598785789620f,1.0164635023339896324757f,\ +1.1566875865587697980175f,0.7525323014625638906594f,-0.5302881550474964900133f,\ +0.9946348209098996306921f,-0.2846244148716441380031f,-1.4971569165104527954213f,\ +0.3858437386079422992680f,0.5857497893655945198077f,-0.5407108407032041874629f,\ +-0.3913628275219260821416f,0.394150621449124050066f,-0.3677461583219513441279f,\ +-0.3580090499105863521834f,1.2238011161239454871463f,-0.0394483595782139026542f,\ +0.6819869387311006114771f,0.0482725904112477066654f,0.6909298247176761664790f,\ +1.3224847954183336362632f,1.4037115762091163517766f,0.8467069128655627663349f,\ +0.5210759995289813151231f,-0.2055830325344648878971f,-2.0192992995259366750815f,\ +-0.5304191698016149647543f,1.09472080578548336405f,1.3620867421349684978082f,\ +-0.1808242201566298279491f,-0.0194904828858388744217f,-0.4683180277648698042192f,\ +0.7819869233308703870833f,0.1429480494914288357666f,0.2773646548392231792057f,\ +0.6096476038786750040188f,-0.5960852983339143262853f,-1.963887290912852856550f,\ +0.9721629223729456592551f,-1.6452050961761244263215f,-0.3723296190652639614527f,\ +0.4738633834151028678683f,-1.057700746568926764013f,-0.4968910756708404541371f,\ +0.2577873463311163293454f,-0.0737988795500269523231f,0.1977793752007929173331f,\ +-0.6149210248305110315670f,0.9875664176674272543011f,-0.4642707502431423494116f,\ +0.0643413048674845028385f,0.6498540575999842694443f,0.7121440663138152160627f,\ +0.2359686505725840099945f,-0.2350484222736072826f,1.427908791905283747425f,\ +-2.1717696603112686126735f,-0.7707405591334609562537f,0.8328839983146067993403f,\ +-0.8442913355247498863321f,-0.9327775490791254675571f,-0.1481361786955139869804f,\ +1.3160166106571784538914f,-1.641046498941054032628f,1.1071159236267200665083f,\ +-0.1637297725664050573879f,0.0063889356258534446900f,-0.1876117315630027870821f,\ +-0.0437156856017992812014f,-0.5047856242612756005883f,-0.4377080020532335691286f,\ +0.8918622387976500309748f,-0.7125206673387354250337f,-1.8420141064608679393f,\ +-0.6323236657671401639291f,0.4307970989642812553733f,0.0065706118931696342461f,\ +-0.2380637309545470814420f,-0.9281665549650555124828f,1.2462413799568070604806f,\ +0.1118120260462647785893f,0.5017427788303500113543f,0.1413380949238240147370f,\ +0.5728474017890546887699f,-0.2522748296906130449635f,-0.4384774472140181011959f,\ +0.0497517512937118988603f,0.5020924835745471659365f,0.6928164360637126817366f,\ +0.9383192238380625438410f,0.9522811808490952989459f,0.6799302528285031677058f,\ +0.5017679240717164423913f,-2.1626383553421018035579f,0.4579762384000223285341f,\ +0.0586823729814069730559f,-1.0035555258293702429739f,-0.1166748359615927543853f,\ +0.8530686378617126086610f,-0.5952441201854786756442f,-0.9104692400773028992944f,\ +-0.1222081949574846115869f,0.8743861864198215760879f,-1.7814901158856750740256f,\ +-0.1655434636829379024814f,1.2699075561256230049167f,3.1587625106365013749610f,\ +0.8610776754247619901861f,-0.0100004380673695478232f} + +#define CSOURCEI {0.9250286334648400998759f,0.1065362941212572023275f,-0.8122748012511081805442f,\ +2.9016509109873367400212f,-0.879282905363888867001f,-0.3325238972742790566350f,\ +1.2084799362120550725308f,0.2580513186266746861186f,-0.2529978784629969279507f,\ +1.6363224419507169660193f,0.3632057263498695842685f,0.3611017132584669053763f,\ +-1.2067543995469365292195f,-0.9261214746973902567362f,0.5500770410591231396324f,\ +0.3509274981930612380410f,-2.0620828383452867171854f,0.1301261656898765051160f,\ +-0.0829640021096160473757f,0.5497292800458170036748f,-1.586103376800369391120f,\ +1.1212128658770057487715f,-0.0802149047940418080671f,0.3400568097779858578456f,\ +0.5992917235464352287977f,1.2934484737369573714716f,-0.1770100915330515556345f,\ +-1.6783588206143511545321f,0.3877335362207995905770f,-0.3290626192650726866695f,\ +-0.7735806757117498211329f,1.4288193530454935675778f,-0.0608386450296815664562f,\ +0.2853217242027552558170f,-0.3091484421032868468160f,0.2351673955360732704012f,\ +0.8718242905301006873131f,0.9043814712183079196350f,0.4001603453209788274769f,\ +0.2902565872125924539837f,-0.1051862594971314374126f,-0.2633497801636938695502f,\ +0.5605928815183498503671f,-1.0135332223701010168071f,1.3762849538989350151041f,\ +0.0221113855817069056287f,0.296045052860035018405f,0.1323984531412186749222f,\ +-0.5439657044615130443432f,0.7105758550684416752219f,-1.988902172751357388947f,\ +0.8370036445008282033342f,-1.361827445493777322127f,-0.2908726176761944892668f,\ +0.7582058566306987268391f,2.2582687071318150451305f,-0.838995532132944754622f,\ +-0.0049693115325542529942f,0.8948621233346091274896f,-0.1820415696112677728102f,\ +0.0164009645281327567923f,0.4631157184786182656744f,1.2818863747394355634412f,\ +1.37735582155233560187f,-0.7661687725125947423521f,-0.8188017890741936533061f,\ +1.3941959606340814659120f,2.0721869090596265472470f,0.9329858014692479217800f,\ +-1.0023470169799657547571f,0.1352029091047084741195f,0.5763346694547388793239f,\ +-1.492034523395888490072f,-0.4804977288873880647557f,0.7911732889577677285686f,\ +0.1745293679511154827377f,0.0354831535332537570393f,-0.8628629256538601355331f,\ +0.1942834096659604437018f,1.3466596448020036191906f,0.3364543941938548110571f,\ +-1.109797124842869298078f,0.1809508886112952685821f,0.5725159396053964844242f,\ +0.6787472822917395287590f,1.4922528447187788369632f,-0.9855408452288743070824f,\ +2.0147405762642014437347f,-0.1974169216352719968821f,-0.2472797570908096820297f,\ +-0.3003777280233598800940f,-0.6957353172991608269982f,0.8954567399776292013769f,\ +0.0025734217968703923703f,1.2028191624106452373155f,-0.3976568161030914483334f,\ +-0.9486032699014914637559f,0.344203116731234826098f,-0.1282579491971870822020f,\ +0.2354837848969928981724f,-1.0123893486718691381299f,-0.1455435264750559176683f,\ +-0.0385439121492695893623f,0.2704776801120854501370f,0.9996348746916957628272f,\ +1.1879952493572987215487f,-0.1421627190737907164841f,-0.9134168336317867176177f,\ +-1.3273949616244651306118f,-0.2266260602581666450117f,0.0136941574262192684169f,\ +0.8667822397875659667932f,-0.8918524882230300931951f,0.5818810906621436629393f,\ +0.5786477410918646757665f,-1.2824019249961673416749f,-0.8858272202103619763491f,\ +1.49931415247364041576f,-0.3191008638398869501351f,-0.6302800825827241659738f,\ +-0.9307697616588104239099f,-0.2218962076254625825911f,0.5504657591791385362612f,\ +0.7937732776747626894931f,0.4530121091137990219089f,-0.5561836772913717474864f,\ +-0.0487810094749783207391f,1.0373690852013959240452f,-1.9605345216190741552964f,\ +-0.6318190008183720562940f,-0.2595506312908315571519f,1.6655693943633802511783f,\ +0.2643484753712377899326f,0.5166487752761181884154f,-1.7642021092407271787295f,\ +0.9519817124353935344772f,1.5941109627321103925368f,-0.3268346133298423716873f,\ +-0.8591341754919610274044f,-0.5067465121338621258928f,0.4012524027420211192307f,\ +-1.3781772559142455580883f,-1.0900200484217259511155f,0.7071849131547247591101f,\ +0.6311112492498477388736f,-1.5661486235109134401711f,-0.3037032596268335327139f,\ +-2.3928711979350367755615f,0.9280630230889591603116f,1.234345031017325400313f,\ +0.0245382276611107209841f,-1.7795591476102954331395f,-0.1457340296796875434016f,\ +-1.4175919090731374794245f,-1.0931645829165108629866f,0.0976120560124896369247f,\ +-0.4917932561715864236973f,0.3236361331498361360026f,-1.3493789441767958248164f,\ +-0.4975410901203008995353f,-0.5175498508985710843788f,1.9028534065523732277114f,\ +-1.0213015320689262654952f,0.7201673839470011939667f,-0.229479324750370056174f,\ +0.0507808834449509222120f,-0.6036524407661360003274f,-0.3189899214184117592907f,\ +0.8969390978377852485792f,0.0689550751790670851671f,-0.3842312216289716086948f,\ +-0.5817559662860881664059f,-1.4228206622942274339749f,-0.8055937171612096436846f,\ +-0.8761791574203163790457f,0.6999940081500163335804f,0.3592083211755666694032f,\ +-2.2759824091756848396528f,1.1126243656877470300515f,-1.490042708505755930659f,\ +-0.2517675074289520420479f,-0.4649616224894683735869f,-0.9304122891120238936224f,\ +-0.2780945839682648634827f,-1.186365868114249266796f,-1.0805465619847403058174f,\ +-0.2982113561322028982836f,-0.4608151973468663786804f,0.5142626215675811796046f,\ +-0.8962085262358048254328f,-1.8912922138922239057024f,1.5339839202719194322100f,\ +-1.0493592314888038341536f,1.5275565058768361126340f,-0.3000289995792813080300f,\ +-1.2901253199534357118949f,0.4517205659557054775455f,0.1925085892467791881533f,\ +0.4244705571771024699146f,1.1465794102472002258253f} + +#define CRESULTR {0.2881823261718455264635f,-1.2239148834349047323400f,-0.7845879395690421587162f,\ +1.7398908843418365854916f,0.6267968040978579846723f,-0.0069618200210163757799f,\ +-1.3647060336777470102021f,0.3067781755755824568688f,0.8879601142484547793288f,\ +-1.1408081118402808584733f,-1.0511217892257147532575f,-0.4630227853264242132703f,\ +-0.8052300885146775888401f,-1.0799054881923455528892f,-0.3673239873834487356774f,\ +-1.3895193771431015861140f,1.4748704381210364644517f,-0.4721815868535457205724f,\ +-0.0800715444386163321955f,0.7328675926305248111703f,1.1062012776691256821238f,\ +1.1578188890116758447135f,0.7250736097899580512305f,-0.7268209399811761395327f,\ +-1.020749615675486277055f,-0.7543891378811746761812f,0.1777916795470285138414f,\ +1.224903809672051702151f,-1.074529895353530717372f,0.6903548013878436639956f,\ +-0.4611640141379182988857f,0.933556473565831823613f,1.4531339378119088046049f,\ +1.1451427225776011908920f,-1.0686132863053487973559f,-0.1688483441440512822229f,\ +-0.1889456477264452038956f,0.5985578048499338166266f,0.6993236665323845357989f,\ +-0.4109810453160360754765f,0.4971360116983927213141f,0.3821580291233257486994f,\ +0.4128919091647823558233f,0.9758538921704605906271f,1.0346135696067118026065f,\ +-0.2478280180540722854587f,0.6216905071606976251886f,-0.0450118169844396301404f,\ +0.3340415020637265142156f,-0.4315313860868430495543f,1.3446595868643815840926f,\ +-1.4033414360880258620057f,0.8274220763035017300879f,-1.309144795084008494612f,\ +-1.3004176310924011605863f,1.4613978516551788811029f,0.4652521895005036212112f,\ +-0.3810083873666035292338f,-0.4305652750257212835194f,-1.0463819862831613693999f,\ +-0.0968555231163464591670f,-0.7621978211341690068181f,-1.0442639351316740370379f,\ +0.8551375533721097266238f,0.4624338658491132791895f,-0.2135461711123592121186f,\ +-0.9192783709328955499274f,1.406572519212488048268f,-0.5996917427163407365853f,\ +0.8472849136812159454024f,-0.0948718277212909494311f,-0.6635046470522460992925f,\ +1.102552918644890800337f,1.0241591511876448894469f,-1.1946095915247210150767f,\ +1.3012416677676885701231f,-0.860094399966521483414f,0.4848763007604853791932f,\ +0.7459402751068522352540f,0.9429407450799555112653f,-0.2932662625241302944978f,\ +0.8365772498525353428889f,0.4339900657778844039747f,-0.0520088659229247518567f,\ +0.540163948037489571874f,-1.5617045052623743650599f,-1.1990755672824380262398f,\ +1.6897714229424107834632f,-0.4304392780607278479188f,-0.7314935627224536940361f,\ +-0.2521660858364912494167f,-1.1139709472810304102808f,1.03593284093582016503f,\ +0.9879482215425008373444f,1.008898373366306833177f,-0.5387894626210441018088f,\ +1.0404295395317768591070f,-0.2970761763070669525533f,-1.1952939328908356309000f,\ +0.3857997224260597546319f,0.8038817262315489653446f,-0.5212531537640049394966f,\ +-0.3822389517390957225373f,0.3966495909859810709008f,-0.6230521638604892276092f,\ +-0.7692209701300163349202f,1.03425437487647720047f,-0.0946733232120821749378f,\ +1.0396309891046779938506f,0.0495385539831420876333f,0.6452562376798283150237f,\ +1.1985497422790862831476f,1.2458585900431864423865f,0.8349246161988523873276f,\ +0.5689579490080320933743f,-0.7806209699664544698905f,-1.5187452500641256403213f,\ +-1.0796802038517956390251f,0.9639374126836365297422f,1.1711728912763936794050f,\ +-0.362488012679416937711f,-0.0199872602643281528645f,-0.5128264059242761963020f,\ +0.8492028743473079011039f,0.1591587587129435210631f,0.3212111561314560104208f,\ +0.5775318673000989777577f,-0.8249558967503766160334f,-1.7154192273737123297650f,\ +0.9346304365709510175719f,-1.2804432024400131950870f,-1.1426657840798974952179f,\ +0.4703017265736584850977f,-0.9677493848474170157203f,-1.2320829767979621927054f,\ +0.4762683633703864716225f,-1.0444970147674126348392f,0.2072645201710894835578f,\ +-0.7498010260478793487238f,0.9188781401771745072082f,-0.4789588845434366026765f,\ +0.8476937452776511783270f,0.8895027647705600060135f,0.7682169660294876356588f,\ +0.2922093151936491217668f,-1.0429114806489117039945f,1.166492728893671504409f,\ +-1.8646253504096552688907f,-0.8923239533314403226782f,1.0666374040344190898821f,\ +-0.7669950473749445052363f,-1.3585386555510787776058f,-0.1491456224121993634490f,\ +1.354597929546794699007f,-1.4004360287243708960148f,0.9567139977921835791719f,\ +-0.1859618971982733570680f,0.0067522660769214690180f,-0.842830481930881947328f,\ +-0.0503539309377906904586f,-0.5389456072426579424928f,-1.2991753231583602623544f,\ +1.0064698858838660999737f,-0.7727166159011478185903f,-1.375918311051623987851f,\ +-0.5968365322787659854598f,0.4909328325978893903248f,0.0069327197759769939797f,\ +-0.4109069224660110153380f,-0.8305261099098545374275f,1.067766372332880076002f,\ +0.1364036525382384124061f,1.0185816452043403579353f,0.2263896344197315613211f,\ +0.7241797053868859190828f,-0.3310339119084142467386f,-0.4485953806654829345568f,\ +1.4637030484564286236804f,0.8062581119903107218505f,1.135230070733268981087f,\ +0.8486739138084887779101f,0.8869200257723099944940f,0.8304138989692378958196f,\ +0.4970805707137128659490f,-1.6189532479764259242927f,0.7536345887109229257916f,\ +0.0614297741451279438740f,-0.9217679644120017057318f,-0.1351912284135200204016f,\ +0.9344534227267771164804f,-1.3237759469951597690596f,-1.2409772949992454726953f,\ +-0.4266400610039619012426f,1.2242961173386468498592f,-1.3507787481217943259537f,\ +-0.7743193525686042910650f,1.0905655681187926830944f,1.869097852573508911078f,\ +0.8141159942263986870614f,-0.5353611933969746328188f} + +#define CRESULTI {1.0927665474832626291146f,0.0577041411945533808114f,-0.6605411939586326441898f,\ +1.4173928005937053153929f,-0.8196938376873322829042f,-0.3389699587748392084485f,\ +0.6182411929183926346809f,0.2489298772050817232238f,-0.1790179858054015138435f,\ +1.2497543779018556175942f,0.2282445233800083350673f,0.3316185520857942714557f,\ +-1.1178350760886399672955f,-0.5992404494636266454322f,0.5409431572062767257236f,\ +0.165426376161976390611f,-1.1122536593055589726475f,0.1171231329897951256580f,\ +-0.0827933061236485051682f,0.4436212447193593200190f,-1.2403328057018132568601f,\ +0.6960798868922111193314f,-0.0629757037081154352753f,0.2697689038111338311055f,\ +0.3922302209885859536342f,1.4842743869253867128322f,-0.1751428834182987837043f,\ +-1.13801740936157136375f,0.2394213509890497915134f,-0.2668464988788373237760f,\ +-0.7726426977316005473284f,1.3382415873096298319922f,-0.0269807302035863991185f,\ +0.1656312162752983929703f,-0.1911246952977092017356f,0.2339836780169318453115f,\ +1.0284310438096477824388f,0.8686878315011077322794f,0.3246111072217529036621f,\ +0.2706500543034189298908f,-0.0935407508346946525712f,-0.2477506860556301926390f,\ +0.5421539099371334158306f,-0.7327711559744070068945f,1.05214358953255682216f,\ +0.0214509576394467729732f,0.2493724089381304798163f,0.1326531466862980457311f,\ +-0.5409686898264083332322f,0.7065143938000820744705f,-1.3284854753780470648650f,\ +0.3984512917058077308141f,-1.5446072484052193463100f,-0.1469509150678137976431f,\ +0.3947301571210936610434f,1.461008167394748147316f,-0.8567501445560671280433f,\ +-0.0046292376134026641879f,0.9577036871573997300899f,-0.1140752778705255016112f,\ +0.0163250605343483005949f,0.3628386917181465332050f,0.9320951721399445277783f,\ +1.44423353597128478754f,-0.7628206936973814800140f,-0.9280966118664348840639f,\ +1.2849894108105837098321f,1.2792864989827095190122f,0.9061761299907579170210f,\ 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i=0; + + for (i=0;i<200;i++){ + in=FloatComplex(inR[i],inI[i]); + out = casinhs(in); + + assert( ( ( fabs( creals(out)-resR[i] ) ) / (fabs(creals(out)) ) ) <1e-6); + assert( ( ( fabs( cimags(out)-resI[i] ) ) / (fabs(cimags(out)) ) ) <1e-6); + } +} + +void sasinhaTest(void) { + float in[]= SOURCE; + float res[]= RESULT; + float out[200]; + int i=0; + + sasinha(in,200,out); + for (i=0;i<200;i++){ + assert ( ( (fabs(out[i]-res[i])) / (fabs(out[i])) ) <1e-6); + }} + +void casinhaTest(void) { + float inR[]=CSOURCER; + float inI[]=CSOURCEI; + float resR[]=CRESULTR; + float resI[]=CRESULTI; + floatComplex in[200], out[200]; + int i=0; + + for (i=0;i<200;i++){ + in[i]=FloatComplex(inR[i],inI[i]); + } + casinha(in,200,out); + for (i=0;i<200;i++){ + assert( ( ( fabs( creals(out[i])-resR[i] ) ) / (fabs(creals(out[i])) ) ) <1e-6); + assert( ( ( fabs( cimags(out[i])-resI[i] ) ) / (fabs(cimags(out[i])) ) ) <1e-6); + } +} + +int testAsinh(void) { + printf("\n>>>> Double Hyperbolic ArcSine Tests\n"); + sasinhsTest(); + casinhsTest(); + sasinhaTest(); + casinhaTest(); + + return 0; +} + +int main(void) { + assert(testAsinh() == 0); + return 0; +} diff --git a/2.3-1/src/c/elementaryFunctions/asinh/zasinha.c b/2.3-1/src/c/elementaryFunctions/asinh/zasinha.c new file mode 100644 index 00000000..4ce24bd8 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/asinh/zasinha.c @@ -0,0 +1,20 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2007-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "asinh.h" + +void zasinha(doubleComplex* x, int size, doubleComplex* y) { + int i = 0; + for (i = 0; i < size; ++i) { + y[i] = zasinhs(x[i]); + } +} diff --git a/2.3-1/src/c/elementaryFunctions/asinh/zasinhs.c b/2.3-1/src/c/elementaryFunctions/asinh/zasinhs.c new file mode 100644 index 00000000..9322b04e --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/asinh/zasinhs.c @@ -0,0 +1,26 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2007-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +/* +// METHOD +// based on the formula asinh(z) = -i asin(i z) +*/ + +#include "asinh.h" +#include "asin.h" + +doubleComplex zasinhs(doubleComplex z) { + doubleComplex i_z = DoubleComplex(-zimags(z), zreals(z)); + doubleComplex asin_i_z = zasins(i_z); + + return DoubleComplex(zimags(asin_i_z), -zreals(asin_i_z)); +} diff --git a/2.3-1/src/c/elementaryFunctions/atan/Makefile.am b/2.3-1/src/c/elementaryFunctions/atan/Makefile.am new file mode 100644 index 00000000..5c090404 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/atan/Makefile.am @@ -0,0 +1,67 @@ +## +## Scilab ( http://www.scilab.org/ ) - This file is part of Scilab +## Copyright (C) 2007-2008 - INRIA - Bruno JOFRET +## +## This file must be used under the terms of the CeCILL. +## This source file is licensed as described in the file COPYING, which +## you should have received as part of this distribution. The terms +## are also available at +## http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt +## +## + +libAtan_la_CFLAGS = -I $(top_builddir)/src/c/type \ + -I $(top_builddir)/src/c/elementaryFunctions/includes \ + -I $(top_builddir)/src/c/auxiliaryFunctions/includes + + +instdir = $(top_builddir)/lib + +pkglib_LTLIBRARIES = libAtan.la + +libAtan_la_SOURCES = $(HEAD) $(SRC) + +SRC = satans.c \ + datans.c \ + catans.c \ + zatans.c \ + satana.c \ + datana.c \ + catana.c \ + zatana.c + +HEAD = ../includes/atan.h + +#### +# Checking Part +#### + +check_INCLUDES = -I $(top_builddir)/src/c/elementaryFunctions/includes \ + -I $(top_builddir)/src/c/type + +check_LDADD = $(top_builddir)/src/c/type/libDoubleComplex.la \ + $(top_builddir)/src/c/type/libFloatComplex.la \ + $(top_builddir)/src/c/operations/addition/libAddition.la \ + $(top_builddir)/src/fortran/lapack/libscilapack.la \ + $(top_builddir)/src/c/elementaryFunctions/sqrt/libSqrt.la \ + 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$(top_builddir)/src/c/elementaryFunctions/includes \ + -I $(top_builddir)/src/c/type + +check_LDADD = $(top_builddir)/src/c/type/libDoubleComplex.la \ + $(top_builddir)/src/c/type/libFloatComplex.la \ + $(top_builddir)/src/c/operations/addition/libAddition.la \ + $(top_builddir)/src/fortran/lapack/libscilapack.la \ + $(top_builddir)/src/c/elementaryFunctions/sqrt/libSqrt.la \ + $(top_builddir)/src/c/elementaryFunctions/atan/libAtan.la \ + $(top_builddir)/src/c/elementaryFunctions/lnp1m1/libLnp1m1.la \ + $(top_builddir)/src/c/auxiliaryFunctions/abs/libAbs.la \ + $(top_builddir)/src/c/auxiliaryFunctions/pythag/libPythag.la \ + $(top_builddir)/src/c/operations/multiplication/libMultiplication.la \ + @LIBMATH@ + + +# +# -*- Arc tangeant Tests -*- +# +testFloatAtan_SOURCES = testAtan.h testFloatAtan.c +testFloatAtan_CFLAGS = $(check_INCLUDES) +testFloatAtan_LDADD = $(check_LDADD) +testDoubleAtan_SOURCES = testAtan.h testDoubleAtan.c +testDoubleAtan_CFLAGS = $(check_INCLUDES) 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Otherwise a system limit (for SysV at least) may be exceeded. +.NOEXPORT: diff --git a/2.3-1/src/c/elementaryFunctions/atan/catana.c b/2.3-1/src/c/elementaryFunctions/atan/catana.c new file mode 100644 index 00000000..d6335cd8 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/atan/catana.c @@ -0,0 +1,20 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "atan.h" + +void catana(floatComplex* x, int size, floatComplex* y) { + int i = 0; + for (i = 0; i < size; ++i) { + y[i] = catans(x[i]); + } +} diff --git a/2.3-1/src/c/elementaryFunctions/atan/catans.c b/2.3-1/src/c/elementaryFunctions/atan/catans.c new file mode 100644 index 00000000..d2081181 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/atan/catans.c @@ -0,0 +1,249 @@ +/*
+ * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
+ * Copyright (C) 2006-2008 - INRIA - Bruno JOFRET
+ * Copyright (C) Bruno Pincon
+ *
+ * This file must be used under the terms of the CeCILL.
+ * This source file is licensed as described in the file COPYING, which
+ * you should have received as part of this distribution. The terms
+ * are also available at
+ * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt
+ *
+ */
+
+/*
+ PURPOSE
+ watan compute the arctangent of a complex number
+ y = yr + i yi = atan(x), x = xr + i xi
+
+ CALLING LIST / PARAMETERS
+ subroutine watan(xr,xi,yr,yi)
+ double precision xr,xi,yr,yi
+
+ xr,xi: real and imaginary parts of the complex number
+ yr,yi: real and imaginary parts of the result
+ yr,yi may have the same memory cases than xr et xi
+
+ COPYRIGHT (C) 2001 Bruno Pincon and Lydia van Dijk
+ Written by Bruno Pincon <Bruno.Pincon@iecn.u-nancy.fr> so
+ as to get more precision. Also to fix the
+ behavior at the singular points and at the branch cuts.
+ Polished by Lydia van Dijk
+ <lvandijk@hammersmith-consulting.com>
+
+ CHANGES : - (Bruno on 2001 May 22) for ysptrk use a
+ minimax polynome to enlarge the special
+ evaluation zone |s| < SLIM. Also rename
+ this function as lnp1m1.
+ - (Bruno on 2001 June 7) better handling
+ of spurious over/underflow ; remove
+ the call to pythag ; better accuracy
+ in the real part for z near +-i
+
+ EXTERNALS FUNCTIONS
+ dlamch
+ lnp1m1 (at the end of this file)
+
+ ALGORITHM : noting z = a + i*b, we have:
+ Z = yr + yi*b = arctan(z) = (i/2) * log( (i+z)/(i-z) )
+
+ This function has two branch points at +i and -i and the
+ chosen branch cuts are the two half-straight lines
+ D1 = [i, i*oo) and D2 = (-i*oo, i]. The function is then
+ analytic in C \ (D1 U D2)).
+
+ From the definition it follows that:
+
+ yr = 0.5 Arg ( (i+z)/(i-z) ) (1)
+ yi = 0.5 log (|(i+z)/(i-z)|) (2)
+
+ so lim (z -> +- i) yr = undefined (and Nan is logical)
+ lim (z -> +i) yi = +oo
+ lim (z -> -i) yi = -oo
+
+ The real part of arctan(z) is discontinuous across D1 and D2
+ and we impose the following definitions:
+ if imag(z) > 1 then
+ Arg(arctan(z)) = pi/2 (=lim real(z) -> 0+)
+ if imag(z) < 1 then
+ Arg(arctan(z)) = -pi/2 (=lim real(z) -> 0-)
+
+
+ Basic evaluation: if we write (i+z)/(i-z) using
+ z = a + i*b, we get:
+
+ i+z 1-(a**2+b**2) + i*(2a)
+ --- = ----------------------
+ i-z a**2 + (1-b)**2
+
+ then, with r2 = |z|^2 = a**2 + b**2 :
+
+ yr = 0.5 * Arg(1-r2 + (2*a)*i)
+ = 0.5 * atan2(2a, (1-r2)) (3)
+
+ This formula is changed when r2 > RMAX (max pos float)
+ and also when |1-r2| and |a| are near 0 (see comments
+ in the code).
+
+ After some math:
+
+ yi = 0.25 * log( (a**2 + (b + 1)**2) /
+ (a**2 + (b - 1)**2) ) (4)
+
+ Evaluation for "big" |z|
+ ------------------------
+
+ If |z| is "big", the direct evaluation of yi by (4) may
+ suffer of innaccuracies and of spurious overflow. Noting
+ that s = 2 b / (1 + |z|**2), we have:
+
+ yi = 0.25 log ( (1 + s)/(1 - s) ) (5)
+
+ 3 5
+ yi = 0.25*( 2 * ( s + 1/3 s + 1/5 s + ... ))
+
+ yi = 0.25 * lnp1m1(s) if |s| < SLIM
+
+ So if |s| is less than SLIM we switch to a special
+ evaluation done by the function lnp1m1. The
+ threshold value SLIM is choosen by experiment
+ (with the Pari-gp software). For |s|
+ "very small" we used a truncated taylor dvp,
+ else a minimax polynome (see lnp1m1).
+
+ To avoid spurious overflows (which result in spurious
+ underflows for s) in computing s with s= 2 b / (1 + |z|**2)
+ when |z|^2 > RMAX (max positive float) we use :
+
+ s = 2d0 / ( (a/b)*a + b )
+
+ but if |b| = Inf this formula leads to NaN when
+ |a| is also Inf. As we have :
+
+ |s| <= 2 / |b|
+
+ we impose simply : s = 0 when |b| = Inf
+
+ Evaluation for z very near to i or -i:
+ --------------------------------------
+ Floating point numbers of the form a+i or a-i with 0 <
+ a**2 < tiny (approximately 1d-308) may lead to underflow
+ (i.e., a**2 = 0) and the logarithm will break formula (4).
+ So we switch to the following formulas:
+
+ If b = +-1 and |a| < sqrt(tiny) approximately 1d-150 (say)
+ then (by using that a**2 + 4 = 4 in machine for such a):
+
+ yi = 0.5 * log( 2/|a| ) for b=1
+
+ yi = 0.5 * log( |a|/2 ) for b=-1
+
+ finally: yi = 0.5 * sign(b) * log( 2/|a| )
+ yi = 0.5 * sign(b) * (log(2) - log(|a|)) (6)
+
+ The last trick is to avoid overflow for |a|=tiny! In fact
+ this formula may be used until a**2 + 4 = 4 so that the
+ threshold value may be larger.
+*/
+
+#include <math.h>
+#include "atan.h"
+#include "abs.h"
+#include "lnp1m1.h"
+#include "lapack.h"
+
+#define _sign(a, b) b >=0 ? a : -a
+
+floatComplex catans(floatComplex z) {
+ static float sSlim = 0.2f;
+ /* .
+ ** / \ WARNING : this algorithm was based on double precision
+ ** / ! \ using float truncate the value to 0.
+ ** `----'
+ **
+ ** static float sAlim = 1E-150f;
+ */
+ static float sAlim = 0.0f;
+ static float sTol = 0.3f;
+ static float sLn2 = 0.6931471805599453094172321f;
+
+ float RMax = (float) getOverflowThreshold();
+ float Pi_2 = 2.0f * satans(1);
+
+ float _inReal = creals(z);
+ float _inImg = cimags(z);
+ float _outReal = 0;
+ float _outImg = 0;
+
+ /* Temporary variables */
+ float R2 = 0;
+ float S = 0;
+
+
+ if(_inImg == 0)
+ {
+ _outReal = satans(_inReal);
+ _outImg = 0;
+ }
+ else
+ {
+ R2 = _inReal * _inReal + _inImg * _inImg; /* Oo */
+ if(R2 > RMax)
+ {
+ if( dabss(_inImg) > RMax)
+ S = 0;
+ else
+ S = 1.0f / (((0.5f * _inReal) / _inImg) * _inReal + 0.5f * _inImg );
+ }
+ else
+ S = (2 * _inImg) / (1+R2);
+
+ if(dabss(S) < sSlim)
+ {
+ /*
+ s is small: |s| < SLIM <=> |z| outside the following disks:
+ D+ = D(center = [0; 1/slim], radius = sqrt(1/slim**2 - 1)) if b > 0
+ D- = D(center = [0; -1/slim], radius = sqrt(1/slim**2 - 1)) if b < 0
+ use the special evaluation of log((1+s)/(1-s)) (5)
+ */
+ _outImg = slnp1m1s(S) * 0.25f;
+ }
+ else
+ {
+ if(sabss(S) == 1 && sabss(_inReal) <= sAlim)
+ {
+ /* |s| >= SLIM => |z| is inside D+ or D- */
+ _outImg = _sign(0.5f,_inImg) * ( sLn2 - logf(sabss(_inReal)));
+ }
+ else
+ {
+ _outImg = 0.25f * logf((powf(_inReal,2) + powf((_inImg + 1.0f),2)) / (powf(_inReal,2) + powf((_inImg - 1.0f),2)));
+ }
+ }
+ if(_inReal == 0)
+ {/* z is purely imaginary */
+ if( dabss(_inImg) > 1)
+ {/* got sign(b) * pi/2 */
+ _outReal = _sign(1, _inImg) * Pi_2;
+ }
+ else if( dabss(_inImg) == 1)
+ {/* got a Nan with 0/0 */
+ _outReal = (_inReal - _inReal) / (_inReal - _inReal); /* Oo */
+ }
+ else
+ _outReal = 0;
+ }
+ else if(R2 > RMax)
+ {/* _outImg is necessarily very near sign(a)* pi/2 */
+ _outReal = _sign(1, _inReal) * Pi_2;
+ }
+ else if(sabss(1 - R2) + sabss(_inReal) <= sTol)
+ {/* |b| is very near 1 (and a is near 0) some cancellation occur in the (next) generic formula */
+ _outReal = 0.5f * atan2f(2.0f * _inReal, (1.0f - _inImg) * (1.0f + _inImg) - powf(_inReal,2.0f));
+ }
+ else
+ _outReal = 0.5f * atan2f(2.0f * _inReal, 1.0f - R2);
+ }
+
+ return FloatComplex(_outReal, _outImg);
+}
diff --git a/2.3-1/src/c/elementaryFunctions/atan/datana.c b/2.3-1/src/c/elementaryFunctions/atan/datana.c new file mode 100644 index 00000000..9b1d9c94 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/atan/datana.c @@ -0,0 +1,20 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "atan.h" + +void datana(double* x, int size, double* y) { + int i = 0; + for (i = 0; i < size; ++i) { + y[i] = datans(x[i]); + } +} diff --git a/2.3-1/src/c/elementaryFunctions/atan/datans.c b/2.3-1/src/c/elementaryFunctions/atan/datans.c new file mode 100644 index 00000000..a16df82d --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/atan/datans.c @@ -0,0 +1,18 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include <math.h> +#include "atan.h" + +double datans(double x) { + return (atan(x)); +} diff --git a/2.3-1/src/c/elementaryFunctions/atan/satana.c b/2.3-1/src/c/elementaryFunctions/atan/satana.c new file mode 100644 index 00000000..639c6f58 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/atan/satana.c @@ -0,0 +1,20 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "atan.h" + +void satana(float* x, int size, float* y) { + int i = 0; + for (i = 0; i < size; ++i) { + y[i] = satans(x[i]); + } +} diff --git a/2.3-1/src/c/elementaryFunctions/atan/satans.c b/2.3-1/src/c/elementaryFunctions/atan/satans.c new file mode 100644 index 00000000..5c7badee --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/atan/satans.c @@ -0,0 +1,18 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include <math.h> +#include "atan.h" + +float satans(float x) { + return (atanf(x)); +} diff --git a/2.3-1/src/c/elementaryFunctions/atan/testAtan.h b/2.3-1/src/c/elementaryFunctions/atan/testAtan.h new file mode 100644 index 00000000..86ba100a --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/atan/testAtan.h @@ -0,0 +1,40 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2007-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#ifndef _TESTATAN_H_ +#define _TESTATAN_H_ + +#include <stdio.h> +#include <assert.h> +#include <math.h> +#include "atan.h" +#include "constant.h" + +void satansTest(void); + +void satanaTest(void); + +void catansTest(void); + +void catanaTest(void); + +void datansTest(void); + +void datanaTest(void); + +void zatansTest(void); + +void zatanaTest(void); + +int testAtan(void); + +#endif /* !_TESTATAN_H_ */ diff --git a/2.3-1/src/c/elementaryFunctions/atan/testDoubleAtan.c b/2.3-1/src/c/elementaryFunctions/atan/testDoubleAtan.c new file mode 100644 index 00000000..85ef1087 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/atan/testDoubleAtan.c @@ -0,0 +1,496 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Arnaud TORSET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "testAtan.h" + +#define SOURCE {0.2271646957046519754719,0.0509554588447201708967,1.85687282969809008826,\ +-0.0600149264751901750925,0.1154209251583080408921,0.3931023811137128731730,\ +-0.3192353063868129114944,-0.1509983292012369027191,-0.3971164405532471297633,\ +-0.4879179365092389808467,0.8039704485327389127391,-1.6086183006520318183874,\ +-1.4550051558571557297483,-2.0613539298303464875062,2.3614638061462338569640,\ +-1.1480101088176024592968,-0.2658609898928261938700,1.5427739450302764279144,\ +0.7423335722389889923534,0.3296187860375025535653,0.8154893385384427428875,\ +-0.7055736212996815970300,0.2819847871866195676560,0.3955156539663013948172,\ +-1.0216483261612141486552,-0.9217285194529017955389,0.1388701122197689430404,\ +0.2561008611862776729318,0.9488840790776944533746,-0.6033504831579518112861,\ +-1.255847241084065313288,-1.5093582375924872174267,-0.2071228671170260715595,\ +-0.3992159361232490155658,1.1415777038585108726920,1.2096296402394912661293,\ +1.2000346264198469281581,0.7648344037454491983752,0.5126417298496636076877,\ +-0.6005237850264322219118,-2.2808601123468448257370,-1.0478316411512684780405,\ +0.3987387706615069249416,-0.7901557685645255180162,0.9472076517346639246142,\ +1.2552561019596721880731,0.4826393798173508331573,-1.9230607741483070061150,\ +0.4005546162223627693066,0.1739168390171661471300,-0.0825727057882147952306,\ +0.8203738818332056981220,0.9228038015421474726807,0.4570111559683089907935,\ +0.9219829463190309937204,1.604104528474896707024,-0.7201236539398426783620,\ +0.6869793119903724321063,-1.3399970213280150144186,0.6385085849830633986102,\ +-2.1392676796592846599765,0.3031216472852934495918,1.4731483222685206602165,\ +-0.6666106701273177836953,2.5253251451367195735,-0.3387226520606179125394,\ +0.1099263677503663910739,0.2055796316301525261672,0.4180157426427644207223,\ +-0.5676554981767482077615,0.1457986457557736703627,-1.887021345850510067876,\ +-2.0255226332731517402408,-1.5021973207858168031237,-0.1565213082415607970255,\ +1.792895025421787247311,0.9902819037203779428680,-1.3877868870664777922741,\ +-1.9114516712610110094062,-0.1241624780676525430234,-0.1512289550370426727266,\ +1.0440663453119916059819,0.8275748256509259936919,0.9453274386638104154201,\ +0.8371330563424048687438,0.7021707191099652023425,-1.06501992349112173386,\ +0.0584382761085656052269,0.3908208204693481846448,0.1507745763925768811564,\ +1.0041017891872929812536,-1.2313120848428102949157,0.3394895696418271380246,\ +-0.0827142520512850892844,0.6446222176264210235175,-1.4935026770981445487507,\ +-0.8052775249062644746800,-0.5748653112322126279565,0.9754979932482783500092,\ +-2.2884524191498907264020,2.022987266935787342703,0.1637454282369502356342,\ +0.5475744092801727580522,-0.8932610448161549809853,-1.2797351399265011195894,\ +0.1118201613432585478369,-0.9620980829388734445473,0.3643849907609559291011,\ +-0.6874188098904436827752,-1.217541476664303568000,-0.5294220756831705676504,\ +-0.5958966870065123266897,0.1130069370904074471662,1.3982224083465000230575,\ +-1.0698899503771839292199,-0.4886124217435617311800,-1.3658513358172643670230,\ +0.7879963184644042106797,-1.4375620975102927356915,-0.4139225629147579854639,\ +0.4724629049642866118752,1.3786020791121860185058,-0.1818007311019581573319,\ +-0.1220915022718044445904,-2.1432379005797042026416,-0.8715288727031362814301,\ +1.7328275421264391908949,0.0746395063981880602100,0.9478227559099661192477,\ +-0.6746643568348875685814,-1.12189978973121218253,0.7712825781700975991129,\ +0.7878967433781322027286,-0.114954127571938721775,-0.8797100720757337066757,\ +0.3945983137523260686486,-0.1335061206135170208675,-0.8812942795785859706470,\ +0.9678256351883146590964,-1.2184863124466103201371,0.2811177412486541848935,\ +0.9039980069833579712224,-0.8586130195545335075380,-0.9119525776637865677188,\ +0.7834023749729661645347,-1.8588322045751330957586,0.9413946838303350883592,\ +-0.6013167449649100548825,0.7116576086154465796696,0.1856739618227061516809,\ +-2.4025809662081938355982,-1.1900189182655975805858,0.4811625406314723463197,\ +0.2175387195999395339996,-0.0380853618830928608574,-0.6838145482543566133771,\ +-1.5179336348870946515888,-1.718734246002084020688,-0.5464611700109887060250,\ +0.7723526959000743818962,0.3006795138383335785903,1.4291868716265472283311,\ +-0.0677166634975557846232,0.0573956162401944233742,0.1830487012206095109867,\ +0.6989722492840018119864,0.1910038834963114218191,0.2306826823577726726100,\ +-0.2565102919971545825106,-0.3420573662934773273570,-0.0978166804483409507709,\ +0.1422536753322360680851,0.5435939242933658377410,-0.3468100829076145585894,\ +0.4660640367220392210612,0.8993729143853705920719,0.7600191222869452367661,\ +0.8968829064436780740266,0.5805771807617583490924,-0.2307843851109470378891,\ +0.5165770205506754475522,0.8824788500189956197417,-0.7969387348104061130627,\ +-1.8168722946703086407183,1.5190242407155258863583,-0.8149773729875190442229,\ +2.4028228775031306163612,0.4982657796195523181026,0.2226740315197290043248,\ +0.1768897379163425209736,0.3603060382424789764855,0.3218716686921767045071,\ +-1.192570046506437719813,-0.1122386313819233177869,-2.0287975179488202392974,\ +0.100288454133301133120,-0.9179783877737051067669,-1.1999331406575297620520,\ +0.7483478159755958536437,2.2060613717090746810356} + +#define RESULT {0.2233738732437201557346,0.0509114261721980362885,1.0767942567911201745545,\ +-0.0599430280405672463728,0.1149124379797051148655,0.3745460477695387035979,\ +-0.3090091280795300709983,-0.1498661654051850200542,-0.3780180809438991595961,\ +-0.4539353243495501954996,0.6771572627749745665326,-1.0146085369409014731445,\ +-0.9686564923933993487282,-1.1191250002845629651915,1.1702255762215818535310,\ +-0.8541951038511210736459,-0.2598500531232013632810,0.9956994243583069392756,\ +0.6385765127412353914238,0.3184037447477280347030,0.6841145592833487443230,\ +-0.6144568631857774132499,0.2748482455938721091826,0.3766345938432117956829,\ +-0.7961060093123013547967,-0.7446909349913972686608,0.1379876022907993438071,\ +0.2507123565043022361820,0.759175872898178005777,-0.5428794496736766284073,\ +-0.89833074078511021554,-0.9856607896834306270506,-0.2042349952101077392719,\ +-0.3798302772852411579585,0.8514111742492602719068,0.8799860018302214648145,\ +0.8760722415122048634117,0.6529277236314812160600,0.4737097703113398172725,\ +-0.5408045473230975730417,-1.1576046419742331838876,-0.8087511308495316519895,\ +0.3794186378049814734048,-0.6687094713589172290114,0.7582929808049961861727,\ +0.8981012978260718426782,0.4496629050128420623800,-1.0912735975391061327144,\ +0.3809844030879972476278,0.1721944986308187042212,-0.0823858026410947269502,\ +0.6870411688329144395126,0.7452719880215435965809,0.4286690862084140407617,\ +0.7448284765591709488675,1.0133478453990099055204,-0.6241044852011972121630,\ +0.6019336895450897451099,-0.9296864924479115721567,0.5682544332615881987891,\ +-1.1335263715873262757583,0.2943182248013878621329,0.9744281865108882501048,\ +-0.5879638357107155322012,1.1937528186152712716961,-0.3265930739728566956082,\ +0.1094867742408287547562,0.2027547884149371593132,0.3959400774109990694960,\ +-0.5162971747333449101802,0.1447785328438968288634,-1.0834879385306221966090,\ +-1.112201615701992940544,-0.98346913687842862917,-0.1552615733221418270471,\ +1.062017052786182524926,0.7805154284284491206236,-0.9463968404701921244282,\ +-1.088790816976063835497,-0.1235302727421704604982,-0.1500916423979053448967,\ +0.8069530021779800499360,0.6913301738780865957068,0.7573010048408638228423,\ +0.6969765492354944580455,0.6121813376326975530972,-0.8168741064761906311986,\ +0.0583718892203711620104,0.3725683317450820819516,0.1496473933205103579169,\ +0.7874448575733706823243,-0.8886955789071054878647,0.3272808967598674345645,\ +-0.0825263887088810432768,0.5725854110105892402771,-0.980788536566781998793,\ +-0.6779506710306395511623,-0.5217330517396027156352,0.772995847351621967469,\ +-1.1588253401537096376472,1.1117042516684423337,0.1623050519698593929796,\ +0.5009790459791051420169,-0.7290794216990050813365,-0.9074929345625200038938,\ +0.111357569834535111153,-0.7660835307058299070704,0.349432040770661034301,\ +-0.6022322122997969540137,-0.883185569845575946246,-0.4869072854862174781765,\ +-0.5373968957759416298359,0.1125295355475867259409,0.9499457978350420717106,\ +-0.8191503966966299232766,-0.4544961153792455021971,-0.9388212744104845741688,\ +0.667378646873721059762,-0.9630145809992480820938,-0.3924506725722226585518,\ +0.4413762601275756369823,0.9432440329190430183814,-0.1798366074472934617035,\ +-0.1214902252731905191174,-1.134237248756892579848,-0.7168606663031997783264,\ +1.0473916695445741886772,0.0745013609201800736104,0.7586170976909952790024,\ +-0.5935190472805600414574,-0.8427835085661474767704,0.6569834032811123769591,\ +0.6673172133738860534180,-0.1144517528481678869667,-0.7214914324609644769026,\ +0.3758410950307565223660,-0.1327212976140068612096,-0.722383800988696922474,\ +0.769049408891516961262,-0.8835660062516154100720,0.2740448831292710551999,\ +0.7350195594735607906856,-0.7094731621063239401792,-0.7393796262522003281958,\ +0.6645381846985234375325,-1.0772344059827341222757,0.7552201039546350136433,\ +-0.5413871326815293816281,0.6185070897724082028546,0.1835833463904297524483,\ +-1.176386657281365266670,-0.8719472877519027775861,0.4484643942741659561335,\ +0.2142014421948802427309,-0.0380669636860080026763,-0.5997804502671881810016,\ +-0.9882664118774061590145,-1.0438491153613729256477,-0.5001221995547742160682,\ +0.6576540281533080900545,0.292080085019127744239,0.9602726979256205330771,\ +-0.0676134413768641334697,0.0573327152217289193192,0.1810443840994339081973,\ +0.6100358657130787731759,0.1887306738654894733287,0.2267166741276365193869,\ +-0.2510965487437752940991,-0.3295815282597121531616,-0.0975064859373050984992,\ +0.141305606529955662953,0.4979116182528884881897,-0.3338302007475900112787,\ +0.4361321851910835434296,0.7324685375973356560309,0.6498825704253795576548,\ +0.731090278993245523687,0.526015577583169635645,-0.2268132361170670519002,\ +0.4768211073463659022131,0.7230501420836584758334,-0.6728715276854828619690,\ +-1.0676488164290300897363,0.9885963208407696489743,-0.6838069995773392584226,\ +1.1764223744131836468796,0.4622592705138702240397,0.2190994523411692873616,\ 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+-1.0526498309129606045786,0.0553606627561369843415,0.7291584643384485531215,\ +-0.8211933984789114848724,-1.1593353121271579020402,1.3152057671476293787549,\ +-1.172801856026281397405,1.4071868225661712248353,-1.237749706635684621148,\ +1.1803373520872921798031,1.5151506180989924299496,0.7531983030718831795269,\ +-0.9762856051169326310202,-1.1612557605568909480098,1.4932305416569968681273,\ +-0.8614722664300586973951,0.8618528735715539346174,1.1016443473924788509777,\ +0.9393199732131509716027,1.0919198431908447854966,-0.9052324038739091305317,\ +-0.9298866314213817263479,0.7633780893052066751636,-0.7143116680469970836143,\ +-1.2127221047629597183715,-0.7227638256662162197230,-1.253501631676815275540,\ +-1.4738165927959636647415,0.9413278434132237304510,-1.1484735264203178584097,\ +0.3698862224535668929981,-1.0222624393360630890015,0.6231994143282580944643,\ +0.9950036636352803665062,-0.2983226702432650867536,0.0176907017367243651895,\ 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+0.2783356640126000702828,1.1824291811858682610392,0.8685688319389791578473,\ +1.1519647668153425446036,0.4220715686665841848146,-1.1065714015957384130928,\ +-0.861924596730684333679,0.9073537157079681891858,-0.6218839294281949259258,\ +-1.120015581786375724604,-0.9733844585621500566930,0.595029230494463101664,\ +1.175230190501943328130,0.9508205283471821145369,-0.8508278968495206484590,\ +0.1541098930310453307690,-0.8824217885955716322854,0.8902851444120675195038,\ +-0.6639557596979325237996,0.1084368331219868891724,-1.2396941127079998956617,\ +0.3226031789257856052799,-0.8843151570857661347702,0.5707126023897258759732,\ +0.3012759106579737111709,-0.8367027089033168829602,-1.4909615617958020816758,\ +-0.7009193727197650103378,-0.5098573775891588333309,0.6979392344955810401075,\ +-0.11360619748546052499,-0.9509385591695135309109,-1.253860295053432105661,\ +0.650797750208578995590,0.1772712514866976729611,-0.9640945137047890467485,\ +-0.5689005122453275609118,-0.1250511412013994849701,-0.4037636514907702589561,\ +-0.7926166698304296653887,-0.2823466357029139617296,-1.056824688357730357424,\ +0.9537129762345133432433,-0.5025361511250948653995,0.4038372312258701746224,\ +-1.356748408455357823854,-0.1106205947085566049237,-1.3416335800212069173654,\ +1.1885949854017261451133,-1.3422443000337007656952,0.6375731708639520434190,\ +0.3760968575323995755078,-0.9884746207385446403748,0.7854115858087797885645,\ +0.999043445647114114472,1.033179400413832382810,1.1526308570666976560659,\ +0.6867562899067288784138,-1.4009010309735028254607,-0.6940419760103245794269,\ +0.5354681750957488439724,0.9063410461496741454823,0.2034358249367814175379,\ +1.3295608151948998809644,1.5281379412739910517161,-1.0737486644518823286631,\ +1.0727905584835071284289,-0.6577524210666327864061,-1.1372820311372766610702,\ +-0.1467884541731124814490,-0.3758609793464613990643,-0.9135278670013463608868,\ +-0.5879353157795642603745,1.3892627420568484097885} + +#define ZRESULTI {-0.3299360864553753103223,0.5773236414575498853807,0.4991095547887292593892,\ +1.0331094146354482532502,-0.3176151990967214233663,-0.0427672547155572568833,\ +-0.5408736725419536206516,-0.1380553162115908116814,-0.1495803862615101287314,\ +0.2075977110248564960759,0.1483156441793008761820,0.1814264210630067153396,\ +-0.2481388687151736549552,-0.1914494023025192226406,0.0475995307877313186817,\ +0.0486725512662827888843,0.0793454719839349342791,0.8749639413571212998022,\ +-0.6896294045728997845757,-0.5086525074514365307721,0.2944098793875352670923,\ +-0.3917506744074427116331,-0.1846852570799382420308,-0.3894217746197643492678,\ +-0.5646100518854718641748,0.4746040014516990646065,-0.3015127179783077537856,\ +-0.0002750414994330601867,-0.4738712470203229054633,0.6504861039469930217294,\ +0.0770111005352082517161,-0.1450021418767060144006,-0.2504460533174687753011,\ +-0.1242925201299330817406,-0.3767991401181884358884,-0.4132076872602681860691,\ +-0.3870747570445600693745,-0.1287551829606753961421,-0.5591653729797143590474,\ +-0.3808547758746415601294,0.0560087196606005033317,0.0701856173788610038233,\ +-0.3788485405347551959743,0.0044895072328474238538,-0.4792093730891275327188,\ +-0.0422815385429984591514,0.0061101098120875880007,1.3269258764406561823535,\ +0.50216582477378490790,-0.3441118926473294425961,0.2204807457606408893636,\ +0.0790893257779779063066,-0.1890021515648551142519,0.518665277550073300361,\ +-0.8006086655024508003109,1.0073379811293934338323,0.2137094925844510162616,\ +0.5375421998418649094376,-0.2320202834395212743157,0.3256990051992574852768,\ +-0.5075425697148114867474,0.4587488944259289214145,0.8635283954295314146066,\ +-0.1297869621390935479521,-0.852694676585578515,0.3180243625197139989424,\ +-0.1362504231180562963566,0.1356147426873018091431,-0.5110906304654022624945,\ +0.0364746671485365880905,0.3518205609306652159596,-0.1882338930265980980749,\ +-0.1641509348055795458610,-0.1003678389496054923491,0.3533058939584889368568,\ +0.1400753442460135889114,-0.3190262039403771177071,0.1130098866744752156288,\ +0.4874882612585151875351,0.0821093566409674818773,-0.4196102828902398829136,\ +-0.451423643355465198379,-0.2794721520836026540380,0.0388676985912680683644,\ +0.5261724556813406339373,0.3369140501375452179111,0.5021943268293638240607,\ +-0.9466008502228719923011,0.0813161752282447886087,-0.3647911127697049948893,\ +0.9402058236775613364600,0.2373145443406108057172,0.1741667096823807936445,\ +0.6110175965051998225874,-0.3276211596627106037438,0.1205074840878167241609,\ +-0.3776545253138779423274,-0.8929722827626465075923,0.549792722962075375293,\ +0.0271042479895461374539,-0.47522513055127707515,0.0593823102898174345898,\ +-0.2798313897020670570903,0.3034375004902351569136,0.1544875118519504486603,\ +-0.3064946913611272250044,-0.1233973071314871799986,-0.9748519593919268144688,\ +-0.2695469774323944189831,-0.2398595153162375315237,-0.3849351067537384318840,\ +-0.4832629774775746844817,0.2120502817724358168849,-0.5500280838647416681297,\ +-0.6567358702149050930785,-0.0439088406752093027285,0.3215272662057582220285,\ +0.252983359599071477852,0.3285524490410307585364,-0.7260295113781071174586,\ +0.5814783672028649430530,0.2280478984411803411447,0.1921683660815579341996,\ +0.2598222279442688464890,-1.2261944929533434844870,0.6354501028006451779362,\ +-0.6350507146232319266588,0.5241840999802419576170,0.1326112979841672367964,\ +0.5331634907909190701503,-0.1060363792025432461141,-0.1405159325068739140097,\ +-1.2650277702054697481771,0.2669908129991411804838,0.2495345813255305800205,\ +-0.3316627619047222141901,-0.2282918540535401608071,-0.1217152595768435791035,\ +-0.4921799931736892674827,0.4709770755615852455556,-0.5858164911014823728053,\ +0.2035859669317575948444,0.2043112301670926833630,-0.6450693837623580062512,\ +-0.0755935103401305513726,-0.5356174761081086144188,-0.3471562389208797116957,\ +0.2328317315621121486036,0.7651997819792383248583,-0.3199579280419243554334,\ +-0.3582454315092570285017,0.7669246314230472316709,0.5441811107763497856737,\ +0.6504831149102675569296,0.1580962824886572026806,-0.2872668874651375658935,\ +0.7084196447067554469612,-0.2398740644903666341392,-0.0138893916104706732079,\ +-0.0382724601233607325534,-0.0114683647521359316501,1.042906817386681339599,\ +0.0689854613036876146426,0.1910230634709511876590,-0.3704134917614289590482,\ +0.1911216797569713354843,0.2522464542416475996589,-0.4451672855349098623101,\ +0.0515134584128001532521,0.4287903998263715155126,0.3315338614185490695441,\ +0.7124742713592439047332,-0.1805296499983318203597,0.5024343285394804459187,\ +-0.0459393453273769861167,0.3351247751616924785978,-0.0681623033986126780626,\ +-0.2332477835758634543417,0.4789761892657505848447,0.1091019217623192538724,\ +0.1355147604481500289708,-0.1428984493591255733325,0.3037123307940571281804,\ +1.5115293287912119346572,0.4692494475562393740908,-0.154956179496453544386,\ +0.4557841446769143045614,0.0301394028826129541099,-0.0919789120268482279785,\ +-0.8385856266070932374390,0.5121474514176801440257,-0.5562655937076338430458,\ +-0.4610543161770726539039,-0.4105611124291430047428,-0.5820664911774818817136,\ +-0.5994113052598605273502,-0.4878070905668511203501,0.2712394281598410339384,\ +-0.5014387951037901913764,0.5397742494143892288960} + + + +void datansTest() { + double in[]= SOURCE; + double res[]= RESULT; + double out; + int i=0; + + for (i=0;i<200;i++){ + out=datans(in[i]); + assert( ( (fabs(out-res[i])) / (fabs(out)) ) <3e-16); + } +} + +void zatansTest() { + double inR[]=ZSOURCER; + double inI[]=ZSOURCEI; + double resR[]=ZRESULTR; + double resI[]=ZRESULTI; + doubleComplex in, out; + int i=0; + + for (i=0;i<200;i++){ + in=DoubleComplex(inR[i],inI[i]); + out=zatans(in); + assert( ( (fabs(zreals(out)-resR[i])) / (fabs(zreals(out))) ) <3e-15); + assert( ( (fabs(zimags(out)-resI[i])) / (fabs(zimags(out))) ) <3e-15); + } +} + +void datanaTest(void) { + double in[]= SOURCE; + double res[]= RESULT; + double out[200]; + int i=0; + + datana(in,200,out); + for (i=0;i<200;i++){ + assert( ( (fabs(out[i]-res[i])) / (fabs(out[i])) ) <3e-16); + } +} + +void zatanaTest(void) { + double inR[]=ZSOURCER; + double inI[]=ZSOURCEI; + double resR[]=ZRESULTR; + double resI[]=ZRESULTI; + doubleComplex in[200], out[200]; + int i=0; + + for (i=0;i<200;i++){ + in[i]=DoubleComplex(inR[i],inI[i]); + } + zatana(in,200,out); + for (i=0;i<200;i++){ + assert( ( (fabs(zreals(out[i])-resR[i])) / (fabs(zreals(out[i]))) ) <3e-15); + assert( ( (fabs(zimags(out[i])-resI[i])) / (fabs(zimags(out[i]))) ) <3e-15); + } +} + +int testAtan() { + printf("\n>>>> Double Arc Tangeant Tests\n"); + datansTest(); + zatansTest(); + datanaTest(); + zatanaTest(); + + return 0; +} + +int main() { + assert(testAtan() == 0); + return 0; +} diff --git a/2.3-1/src/c/elementaryFunctions/atan/testFloatAtan.c b/2.3-1/src/c/elementaryFunctions/atan/testFloatAtan.c new file mode 100644 index 00000000..a740b53c --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/atan/testFloatAtan.c @@ -0,0 +1,502 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Arnaud TORSET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "testAtan.h" + + +#define SOURCE {0.2271646957046519754719f,0.0509554588447201708967f,1.85687282969809008826f,\ +-0.0600149264751901750925f,0.1154209251583080408921f,0.3931023811137128731730f,\ +-0.3192353063868129114944f,-0.1509983292012369027191f,-0.3971164405532471297633f,\ +-0.4879179365092389808467f,0.8039704485327389127391f,-1.6086183006520318183874f,\ +-1.4550051558571557297483f,-2.0613539298303464875062f,2.3614638061462338569640f,\ +-1.1480101088176024592968f,-0.2658609898928261938700f,1.5427739450302764279144f,\ +0.7423335722389889923534f,0.3296187860375025535653f,0.8154893385384427428875f,\ +-0.7055736212996815970300f,0.2819847871866195676560f,0.3955156539663013948172f,\ +-1.0216483261612141486552f,-0.9217285194529017955389f,0.1388701122197689430404f,\ +0.2561008611862776729318f,0.9488840790776944533746f,-0.6033504831579518112861f,\ +-1.255847241084065313288f,-1.5093582375924872174267f,-0.2071228671170260715595f,\ +-0.3992159361232490155658f,1.1415777038585108726920f,1.2096296402394912661293f,\ +1.2000346264198469281581f,0.7648344037454491983752f,0.5126417298496636076877f,\ +-0.6005237850264322219118f,-2.2808601123468448257370f,-1.0478316411512684780405f,\ +0.3987387706615069249416f,-0.7901557685645255180162f,0.9472076517346639246142f,\ +1.2552561019596721880731f,0.4826393798173508331573f,-1.9230607741483070061150f,\ +0.4005546162223627693066f,0.1739168390171661471300f,-0.0825727057882147952306f,\ +0.8203738818332056981220f,0.9228038015421474726807f,0.4570111559683089907935f,\ +0.9219829463190309937204f,1.604104528474896707024f,-0.7201236539398426783620f,\ +0.6869793119903724321063f,-1.3399970213280150144186f,0.6385085849830633986102f,\ +-2.1392676796592846599765f,0.3031216472852934495918f,1.4731483222685206602165f,\ +-0.6666106701273177836953f,2.5253251451367195735f,-0.3387226520606179125394f,\ +0.1099263677503663910739f,0.2055796316301525261672f,0.4180157426427644207223f,\ +-0.5676554981767482077615f,0.1457986457557736703627f,-1.887021345850510067876f,\ +-2.0255226332731517402408f,-1.5021973207858168031237f,-0.1565213082415607970255f,\ +1.792895025421787247311f,0.9902819037203779428680f,-1.3877868870664777922741f,\ +-1.9114516712610110094062f,-0.1241624780676525430234f,-0.1512289550370426727266f,\ +1.0440663453119916059819f,0.8275748256509259936919f,0.9453274386638104154201f,\ +0.8371330563424048687438f,0.7021707191099652023425f,-1.06501992349112173386f,\ +0.0584382761085656052269f,0.3908208204693481846448f,0.1507745763925768811564f,\ +1.0041017891872929812536f,-1.2313120848428102949157f,0.3394895696418271380246f,\ +-0.0827142520512850892844f,0.6446222176264210235175f,-1.4935026770981445487507f,\ +-0.8052775249062644746800f,-0.5748653112322126279565f,0.9754979932482783500092f,\ +-2.2884524191498907264020f,2.022987266935787342703f,0.1637454282369502356342f,\ +0.5475744092801727580522f,-0.8932610448161549809853f,-1.2797351399265011195894f,\ +0.1118201613432585478369f,-0.9620980829388734445473f,0.3643849907609559291011f,\ +-0.6874188098904436827752f,-1.217541476664303568000f,-0.5294220756831705676504f,\ +-0.5958966870065123266897f,0.1130069370904074471662f,1.3982224083465000230575f,\ +-1.0698899503771839292199f,-0.4886124217435617311800f,-1.3658513358172643670230f,\ +0.7879963184644042106797f,-1.4375620975102927356915f,-0.4139225629147579854639f,\ +0.4724629049642866118752f,1.3786020791121860185058f,-0.1818007311019581573319f,\ +-0.1220915022718044445904f,-2.1432379005797042026416f,-0.8715288727031362814301f,\ +1.7328275421264391908949f,0.0746395063981880602100f,0.9478227559099661192477f,\ +-0.6746643568348875685814f,-1.12189978973121218253f,0.7712825781700975991129f,\ +0.7878967433781322027286f,-0.114954127571938721775f,-0.8797100720757337066757f,\ +0.3945983137523260686486f,-0.1335061206135170208675f,-0.8812942795785859706470f,\ +0.9678256351883146590964f,-1.2184863124466103201371f,0.2811177412486541848935f,\ +0.9039980069833579712224f,-0.8586130195545335075380f,-0.9119525776637865677188f,\ +0.7834023749729661645347f,-1.8588322045751330957586f,0.9413946838303350883592f,\ +-0.6013167449649100548825f,0.7116576086154465796696f,0.1856739618227061516809f,\ +-2.4025809662081938355982f,-1.1900189182655975805858f,0.4811625406314723463197f,\ +0.2175387195999395339996f,-0.0380853618830928608574f,-0.6838145482543566133771f,\ +-1.5179336348870946515888f,-1.718734246002084020688f,-0.5464611700109887060250f,\ +0.7723526959000743818962f,0.3006795138383335785903f,1.4291868716265472283311f,\ +-0.0677166634975557846232f,0.0573956162401944233742f,0.1830487012206095109867f,\ +0.6989722492840018119864f,0.1910038834963114218191f,0.2306826823577726726100f,\ +-0.2565102919971545825106f,-0.3420573662934773273570f,-0.0978166804483409507709f,\ +0.1422536753322360680851f,0.5435939242933658377410f,-0.3468100829076145585894f,\ +0.4660640367220392210612f,0.8993729143853705920719f,0.7600191222869452367661f,\ +0.8968829064436780740266f,0.5805771807617583490924f,-0.2307843851109470378891f,\ +0.5165770205506754475522f,0.8824788500189956197417f,-0.7969387348104061130627f,\ +-1.8168722946703086407183f,1.5190242407155258863583f,-0.8149773729875190442229f,\ +2.4028228775031306163612f,0.4982657796195523181026f,0.2226740315197290043248f,\ +0.1768897379163425209736f,0.3603060382424789764855f,0.3218716686921767045071f,\ +-1.192570046506437719813f,-0.1122386313819233177869f,-2.0287975179488202392974f,\ +0.100288454133301133120f,-0.9179783877737051067669f,-1.1999331406575297620520f,\ +0.7483478159755958536437f,2.2060613717090746810356f} + +#define RESULT {0.2233738732437201557346f,0.0509114261721980362885f,1.0767942567911201745545f,\ +-0.0599430280405672463728f,0.1149124379797051148655f,0.3745460477695387035979f,\ +-0.3090091280795300709983f,-0.1498661654051850200542f,-0.3780180809438991595961f,\ +-0.4539353243495501954996f,0.6771572627749745665326f,-1.0146085369409014731445f,\ +-0.9686564923933993487282f,-1.1191250002845629651915f,1.1702255762215818535310f,\ +-0.8541951038511210736459f,-0.2598500531232013632810f,0.9956994243583069392756f,\ +0.6385765127412353914238f,0.3184037447477280347030f,0.6841145592833487443230f,\ +-0.6144568631857774132499f,0.2748482455938721091826f,0.3766345938432117956829f,\ +-0.7961060093123013547967f,-0.7446909349913972686608f,0.1379876022907993438071f,\ +0.2507123565043022361820f,0.759175872898178005777f,-0.5428794496736766284073f,\ +-0.89833074078511021554f,-0.9856607896834306270506f,-0.2042349952101077392719f,\ +-0.3798302772852411579585f,0.8514111742492602719068f,0.8799860018302214648145f,\ +0.8760722415122048634117f,0.6529277236314812160600f,0.4737097703113398172725f,\ +-0.5408045473230975730417f,-1.1576046419742331838876f,-0.8087511308495316519895f,\ +0.3794186378049814734048f,-0.6687094713589172290114f,0.7582929808049961861727f,\ +0.8981012978260718426782f,0.4496629050128420623800f,-1.0912735975391061327144f,\ +0.3809844030879972476278f,0.1721944986308187042212f,-0.0823858026410947269502f,\ +0.6870411688329144395126f,0.7452719880215435965809f,0.4286690862084140407617f,\ +0.7448284765591709488675f,1.0133478453990099055204f,-0.6241044852011972121630f,\ +0.6019336895450897451099f,-0.9296864924479115721567f,0.5682544332615881987891f,\ +-1.1335263715873262757583f,0.2943182248013878621329f,0.9744281865108882501048f,\ +-0.5879638357107155322012f,1.1937528186152712716961f,-0.3265930739728566956082f,\ +0.1094867742408287547562f,0.2027547884149371593132f,0.3959400774109990694960f,\ +-0.5162971747333449101802f,0.1447785328438968288634f,-1.0834879385306221966090f,\ +-1.112201615701992940544f,-0.98346913687842862917f,-0.1552615733221418270471f,\ +1.062017052786182524926f,0.7805154284284491206236f,-0.9463968404701921244282f,\ +-1.088790816976063835497f,-0.1235302727421704604982f,-0.1500916423979053448967f,\ +0.8069530021779800499360f,0.6913301738780865957068f,0.7573010048408638228423f,\ +0.6969765492354944580455f,0.6121813376326975530972f,-0.8168741064761906311986f,\ +0.0583718892203711620104f,0.3725683317450820819516f,0.1496473933205103579169f,\ +0.7874448575733706823243f,-0.8886955789071054878647f,0.3272808967598674345645f,\ +-0.0825263887088810432768f,0.5725854110105892402771f,-0.980788536566781998793f,\ +-0.6779506710306395511623f,-0.5217330517396027156352f,0.772995847351621967469f,\ +-1.1588253401537096376472f,1.1117042516684423337f,0.1623050519698593929796f,\ +0.5009790459791051420169f,-0.7290794216990050813365f,-0.9074929345625200038938f,\ +0.111357569834535111153f,-0.7660835307058299070704f,0.349432040770661034301f,\ +-0.6022322122997969540137f,-0.883185569845575946246f,-0.4869072854862174781765f,\ +-0.5373968957759416298359f,0.1125295355475867259409f,0.9499457978350420717106f,\ +-0.8191503966966299232766f,-0.4544961153792455021971f,-0.9388212744104845741688f,\ +0.667378646873721059762f,-0.9630145809992480820938f,-0.3924506725722226585518f,\ +0.4413762601275756369823f,0.9432440329190430183814f,-0.1798366074472934617035f,\ +-0.1214902252731905191174f,-1.134237248756892579848f,-0.7168606663031997783264f,\ +1.0473916695445741886772f,0.0745013609201800736104f,0.7586170976909952790024f,\ +-0.5935190472805600414574f,-0.8427835085661474767704f,0.6569834032811123769591f,\ +0.6673172133738860534180f,-0.1144517528481678869667f,-0.7214914324609644769026f,\ +0.3758410950307565223660f,-0.1327212976140068612096f,-0.722383800988696922474f,\ +0.769049408891516961262f,-0.8835660062516154100720f,0.2740448831292710551999f,\ +0.7350195594735607906856f,-0.7094731621063239401792f,-0.7393796262522003281958f,\ +0.6645381846985234375325f,-1.0772344059827341222757f,0.7552201039546350136433f,\ +-0.5413871326815293816281f,0.6185070897724082028546f,0.1835833463904297524483f,\ +-1.176386657281365266670f,-0.8719472877519027775861f,0.4484643942741659561335f,\ +0.2142014421948802427309f,-0.0380669636860080026763f,-0.5997804502671881810016f,\ +-0.9882664118774061590145f,-1.0438491153613729256477f,-0.5001221995547742160682f,\ +0.6576540281533080900545f,0.292080085019127744239f,0.9602726979256205330771f,\ +-0.0676134413768641334697f,0.0573327152217289193192f,0.1810443840994339081973f,\ +0.6100358657130787731759f,0.1887306738654894733287f,0.2267166741276365193869f,\ +-0.2510965487437752940991f,-0.3295815282597121531616f,-0.0975064859373050984992f,\ +0.141305606529955662953f,0.4979116182528884881897f,-0.3338302007475900112787f,\ +0.4361321851910835434296f,0.7324685375973356560309f,0.6498825704253795576548f,\ +0.731090278993245523687f,0.526015577583169635645f,-0.2268132361170670519002f,\ +0.4768211073463659022131f,0.7230501420836584758334f,-0.6728715276854828619690f,\ +-1.0676488164290300897363f,0.9885963208407696489743f,-0.6838069995773392584226f,\ +1.1764223744131836468796f,0.4622592705138702240397f,0.2190994523411692873616f,\ +0.1750786606269341127984f,0.345826480359459564884f,0.3113998336672463840280f,\ +-0.8730018295092231150889f,-0.1117708529226727198758f,-1.1128425715998719880417f,\ +0.0999542424787834421496f,-0.7426595867662098005013f,-0.8760306483273037070347f,\ +0.6424428721795988339593f,1.1452043748636047126865f} + +#define CSOURCER {-1.1795163216180464260674f,-0.6957584169324845246862f,0.8259988996926452831104f,\ +0.2005040766836741483736f,-1.2112828126521528737669f,1.577061196992769698255f,\ +0.7637772368360737917925f,1.8192271630516374525399f,0.5455430088849253511540f,\ +1.146539236621446411490f,1.6240394311350210276856f,-1.4966797534977682726520f,\ +-1.59547014335820214193f,-0.7395898851221245351439f,-0.8068636961152658715335f,\ +-1.0311002075319768422901f,1.2005970723482952688954f,-0.2648910783446530303742f,\ +-0.2626223153489460337973f,-0.7475187472806215094323f,-0.5661153624892958369230f,\ +0.7434875747358512532159f,0.7872535238570613769227f,0.451715552409009846180f,\ +0.4606878032667490185936f,0.0776842938192593146507f,0.8641526902252117947612f,\ +1.207833841833020782630f,0.8731959322473188400693f,0.0203507380205638840898f,\ +-2.142561452892851825425f,0.3422111419280877142590f,1.2579314478540355448644f,\ +1.7477933051936518360492f,0.5187339957481993391042f,-0.132728581017459240643f,\ +-1.1602733035670516059668f,0.4875989045190238790894f,-0.5701105851822111381111f,\ +-1.1912139790942799510987f,2.0124340046175204221868f,-2.7045248893564091119401f,\ +-0.6431322992574242114472f,-1.9153194443350760600708f,-0.5655545944523592272191f,\ +-0.65321727466490830949f,-0.704349532744792949934f,0.1130503418105048285547f,\ +0.7790220841116946015603f,-0.8369920883463126681789f,-1.604067362874623814406f,\ +-0.2256746981594401069149f,-0.1392938143448255172707f,0.6830835101317246360608f,\ +-0.4155213883413004238854f,0.0229733819760836940893f,0.8246417042132325736503f,\ +-0.6376565658151804871778f,-1.7068298799179615343746f,1.4073819355206949044401f,\ +-0.8295221757203087298294f,0.6373043870424420775933f,-0.2922017410826197592044f,\ +2.1752387761511053909658f,0.0600723389389604608968f,0.7835812912685555797765f,\ +-1.3959357154825373648066f,-2.0629358999978850697232f,0.2656918800288301518719f,\ +-1.1613766205716309354301f,0.8939124507954123721731f,1.6784098435216081579568f,\ +1.2683311792448521693188f,1.8385748076192800493089f,-0.9497329202198889763764f,\ +-1.270378528387523964227f,0.7963056587352231874277f,-0.8480009473832804678395f,\ +-0.8640072224951356183453f,-0.8715001223760306947597f,-1.0437638424148545368553f,\ +-0.4238345049288854693437f,1.1151445198271947578661f,-2.2055374030068151114392f,\ +0.2874269036908579932899f,-1.141542990475093111158f,0.5076848390265716881586f,\ +0.3056363849775944885323f,-0.3052849785217074396471f,0.0155317052678219415240f,\ +0.2432114799458970910706f,0.6784283234918451199746f,1.872617399166290219625f,\ +-0.5480102320972454199577f,-1.1310137592478748391756f,-0.0865801063652356234224f,\ +-0.32288669591661972591f,-0.3304845320488251636526f,0.0611848701378388329375f,\ +1.826560717567842440090f,0.7447867877814601245134f,-1.1564474239432984692399f,\ +-1.1265940444751152416103f,0.142628529129462972014f,-0.8925873814067234457426f,\ +-0.3627863505191566417807f,-0.5662183332585394301972f,-0.2716795089578870614488f,\ +1.3639803640910439508360f,1.237612166886607800720f,0.3924305122780659127457f,\ +0.7582137693795522048745f,-1.1492170633741971563779f,0.4241382639443282975833f,\ +0.4098444400457034175744f,-1.37669132334320454270f,-1.4476326062045372644604f,\ +0.7114066611465256206870f,-1.3924830606697651269599f,0.0338524257403221839891f,\ +0.0146836062137128426502f,1.2378730149006278438151f,0.2801823548361609406143f,\ +-1.3742686169958964192972f,0.1717540380186403925489f,-0.5855903929173471578196f,\ +0.1907429151227005570401f,0.7888793090772500127272f,1.1338168541183824000740f,\ +0.7778678198128919918375f,0.4430509890900592440133f,-1.8169712227336964893709f,\ +-0.1603235606348805963872f,1.0728726966089832117746f,-0.6538383763382829005906f,\ +-1.2903854138672581353120f,-1.2588653493715018516497f,0.662482523108547827206f,\ +0.8653058064884894262647f,0.8205627120768179683097f,-0.6052538675768098785923f,\ +0.1489320223008726296055f,-1.1002545757952191252116f,0.5601748137285590400936f,\ +-0.7753064210754536667025f,0.0825270383499445148168f,-1.3301792471357218872186f,\ +0.3149537401293732719054f,-0.4413283119409475707684f,0.5584497354764290655282f,\ +0.2709448579613401020261f,-0.4281368707331745238065f,-0.2387957265896963054974f,\ +-0.4604827882307634956405f,-0.5412644127984000963494f,0.7328783982761175597176f,\ +-0.0713404400136534444510f,-1.1936962614002064597685f,-3.042807307214757006619f,\ +0.7597050488151386726798f,0.1791274991920646930676f,-0.2506292816675101398083f,\ +-0.6351531470374360832665f,-0.121161180968055212648f,-0.3652194549719223193307f,\ +-0.9437320920432173965153f,-0.2710022932148818952669f,-0.9443973941449046449748f,\ +1.3983220899832822237130f,-0.4381256814836405610869f,0.3765568950431126271639f,\ +-0.3219819650340491334894f,-0.1074889504736799422657f,-0.6785727331891553415488f,\ +2.4505579021475099033012f,-1.3142551981836398944381f,0.7354780365902759964314f,\ +0.3711279315629368302787f,-0.8351813322615772028357f,0.9766824658266765046832f,\ +1.461883720898450089720f,1.5553635146325224258845f,1.4271923988949506423296f,\ +0.0934141721491809351452f,-0.6278372555306163116384f,-0.7994063607890871114847f,\ +0.4560734872063767486594f,1.2736575371127356604006f,0.2044809074410245119946f,\ +0.2464253458581916467196f,0.1480097817386342162749f,-0.7352399556856978879438f,\ +0.9198120099159204920980f,-0.6013531026590643868701f,-0.6865004071225593307304f,\ +-0.104616070370811706236f,-0.3041328910990643286105f,-1.0780356133329238588203f,\ +-0.4779521279351744977859f,0.5025105381497957379722f} + +#define CSOURCEI {-0.9552428551144188650923f,1.2961834852294731312838f,1.1017640646828426032044f,\ +0.8711087850527934328682f,-0.9420760043657475657497f,-0.1497284505613425964476f,\ +-1.3185366552605053414027f,-0.6344981208817582762904f,-0.1939736947913383302566f,\ +0.5047024828595823020549f,0.571239270735604098839f,0.6329832938920191276466f,\ +-1.0836206204774869732432f,-0.2988022043772741165313f,0.0786451729619408040906f,\ +0.1005946170325885125063f,0.1951019512685897017157f,1.3036996759610997020928f,\ +-1.604446040591435362899f,-1.665829130168900329423f,0.3894119616051456289618f,\ +-0.6441312956332616579402f,-0.3024073427875212938254f,-0.4621890957188650173038f,\ +-0.6774568059775447625981f,0.445231860114528421590f,-0.5535293580988084327643f,\ +-0.0006762893110915249931f,-1.089389506561633025328f,0.5723493142465210237191f,\ +0.4420973206857362058919f,-0.1612581930858848211496f,-0.7163329171822375718293f,\ +-0.5277733874018479820478f,-0.4768406780661605948168f,-0.3993604887388358948286f,\ +-1.3804293506092022436604f,-0.1591254367281162429570f,-1.6980146860343119374903f,\ +-1.4761781930573465437817f,0.2862303841437082718713f,0.6052999005919722508295f,\ +-0.5483298295339265049364f,0.0209604427664898014527f,-0.6457183807429971444947f,\ +-0.0603329310380973649064f,0.0091414413452102355473f,1.0949883817318917245132f,\ +1.6400776092272673079009f,-0.623485665086227380804f,0.9132225220115295361012f,\ +0.0829708966832887195864f,-0.1905412057335640341194f,1.7237280439025588485435f,\ +-1.1486098807701770052603f,0.7656322424078984001383f,0.365608177776686305016f,\ +0.8275570484489896960767f,-1.1195346368945833237518f,2.009348617520048563279f,\ +-1.3914607990698013573194f,2.0854477679794358735421f,1.2877168046463016715109f,\ +-0.8111545211857794646093f,-1.4392639991852771430558f,0.5337937550547192655515f,\ +-0.4149967301072188807787f,0.7753596072101661684783f,-2.0802067762281923890555f,\ +0.0857878546561958027494f,0.6902510695334604928775f,-0.8020501997457173404271f,\ +-0.4448276219158631139550f,-0.4542741017673427861290f,0.7497806557441212271797f,\ 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+0.9766933236701691445347f,2.039099736880281454887f,-0.2559919392094065493382f,\ +0.5420836083333696597819f,0.0791245311903027159772f,-0.0955893777744002970387f,\ +-1.3712286813648302263857f,2.1069701518694308184365f,-1.189922581642507859456f,\ +-1.1599757893702906663691f,-0.5696357256121767909107f,-1.3015572133370920671069f,\ +-0.5449309642239419382292f,-0.5067789559895423678881f,0.6346443332238025369918f,\ +-0.6108333161328157734360f,1.8419857567724760016858f} + +#define CRESULTR {-1.0378404956328399766363f,-1.133735695651125086059f,1.0339197498326544444325f,\ +0.5531122148702418694910f,-1.040340001858497842591f,1.0085860369894361632248f,\ +1.1420720538989748149561f,1.1056797792052726059353f,0.5117972485274214777817f,\ +0.9070677525728206846978f,1.0572990288526666891045f,-1.0360972400059726972188f,\ +-1.1383229838393340571656f,-0.6648420928164470167232f,-0.6807443500487321275116f,\ +-0.8031597943350016199915f,0.883947625424225447155f,-1.269412549612109586405f,\ 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+-0.5689005122453275609118f,-0.1250511412013994849701f,-0.4037636514907702589561f,\ +-0.7926166698304296653887f,-0.2823466357029139617296f,-1.056824688357730357424f,\ +0.9537129762345133432433f,-0.5025361511250948653995f,0.4038372312258701746224f,\ +-1.356748408455357823854f,-0.1106205947085566049237f,-1.3416335800212069173654f,\ +1.1885949854017261451133f,-1.3422443000337007656952f,0.6375731708639520434190f,\ +0.3760968575323995755078f,-0.9884746207385446403748f,0.7854115858087797885645f,\ +0.999043445647114114472f,1.033179400413832382810f,1.1526308570666976560659f,\ +0.6867562899067288784138f,-1.4009010309735028254607f,-0.6940419760103245794269f,\ +0.5354681750957488439724f,0.9063410461496741454823f,0.2034358249367814175379f,\ +1.3295608151948998809644f,1.5281379412739910517161f,-1.0737486644518823286631f,\ +1.0727905584835071284289f,-0.6577524210666327864061f,-1.1372820311372766610702f,\ +-0.1467884541731124814490f,-0.3758609793464613990643f,-0.9135278670013463608868f,\ +-0.5879353157795642603745f,1.3892627420568484097885f} + +#define CRESULTI {-0.3299360864553753103223f,0.5773236414575498853807f,0.4991095547887292593892f,\ +1.0331094146354482532502f,-0.3176151990967214233663f,-0.0427672547155572568833f,\ +-0.5408736725419536206516f,-0.1380553162115908116814f,-0.1495803862615101287314f,\ +0.2075977110248564960759f,0.1483156441793008761820f,0.1814264210630067153396f,\ +-0.2481388687151736549552f,-0.1914494023025192226406f,0.0475995307877313186817f,\ +0.0486725512662827888843f,0.0793454719839349342791f,0.8749639413571212998022f,\ +-0.6896294045728997845757f,-0.5086525074514365307721f,0.2944098793875352670923f,\ +-0.3917506744074427116331f,-0.1846852570799382420308f,-0.3894217746197643492678f,\ +-0.5646100518854718641748f,0.4746040014516990646065f,-0.3015127179783077537856f,\ +-0.0002750414994330601867f,-0.4738712470203229054633f,0.6504861039469930217294f,\ +0.0770111005352082517161f,-0.1450021418767060144006f,-0.2504460533174687753011f,\ +-0.1242925201299330817406f,-0.3767991401181884358884f,-0.4132076872602681860691f,\ +-0.3870747570445600693745f,-0.1287551829606753961421f,-0.5591653729797143590474f,\ +-0.3808547758746415601294f,0.0560087196606005033317f,0.0701856173788610038233f,\ +-0.3788485405347551959743f,0.0044895072328474238538f,-0.4792093730891275327188f,\ +-0.0422815385429984591514f,0.0061101098120875880007f,1.3269258764406561823535f,\ +0.50216582477378490790f,-0.3441118926473294425961f,0.2204807457606408893636f,\ +0.0790893257779779063066f,-0.1890021515648551142519f,0.518665277550073300361f,\ +-0.8006086655024508003109f,1.0073379811293934338323f,0.2137094925844510162616f,\ +0.5375421998418649094376f,-0.2320202834395212743157f,0.3256990051992574852768f,\ +-0.5075425697148114867474f,0.4587488944259289214145f,0.8635283954295314146066f,\ +-0.1297869621390935479521f,-0.852694676585578515f,0.3180243625197139989424f,\ +-0.1362504231180562963566f,0.1356147426873018091431f,-0.5110906304654022624945f,\ 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+-0.2332477835758634543417f,0.4789761892657505848447f,0.1091019217623192538724f,\ +0.1355147604481500289708f,-0.1428984493591255733325f,0.3037123307940571281804f,\ +1.5115293287912119346572f,0.4692494475562393740908f,-0.154956179496453544386f,\ +0.4557841446769143045614f,0.0301394028826129541099f,-0.0919789120268482279785f,\ +-0.8385856266070932374390f,0.5121474514176801440257f,-0.5562655937076338430458f,\ +-0.4610543161770726539039f,-0.4105611124291430047428f,-0.5820664911774818817136f,\ +-0.5994113052598605273502f,-0.4878070905668511203501f,0.2712394281598410339384f,\ +-0.5014387951037901913764f,0.5397742494143892288960f} + + + + + + +void satansTest() { + float in[]= SOURCE; + float res[]= RESULT; + float out; + int i=0; + + for (i=0;i<200;i++){ + out=satans(in[i]); + assert( ( (fabs(out-res[i])) / (fabs(out)) ) <1e-7); + } +} + +void catansTest(void) { + float inR[]=CSOURCER; + float inI[]=CSOURCEI; + float resR[]=CRESULTR; + float resI[]=CRESULTI; + floatComplex in, out; + int i=0; + + for (i=0;i<200;i++){ + in=FloatComplex(inR[i],inI[i]); + out=catans(in); + assert( ( (fabs(creals(out)-resR[i])) / (fabs(creals(out))) ) <1e-6); + assert( ( (fabs(cimags(out)-resI[i])) / (fabs(cimags(out))) ) <1e-6); + } +} + +void satanaTest(void) { + float in[]= SOURCE; + float res[]= RESULT; + float out[200]; + int i=0; + + satana(in,200,out); + for (i=0;i<200;i++){ + assert( ( (fabs(out[i]-res[i])) / (fabs(out[i])) ) <1e-6); + } +} + +void catanaTest(void) { + float inR[]=CSOURCER; + float inI[]=CSOURCEI; + float resR[]=CRESULTR; + float resI[]=CRESULTI; + floatComplex in[200], out[200]; + int i=0; + + for (i=0;i<200;i++){ + in[i]=FloatComplex(inR[i],inI[i]); + } + catana(in,200,out); + for (i=0;i<200;i++){ + assert( ( (fabs(creals(out[i])-resR[i])) / (fabs(creals(out[i]))) ) <1e-6); + assert( ( (fabs(cimags(out[i])-resI[i])) / (fabs(cimags(out[i]))) ) <1e-6); + } +} + + + +int testAtan() { + printf("\n>>>> Float Arc tangeant Tests\n"); + satansTest(); + catansTest(); + satanaTest(); + catanaTest(); + + return 0; +} + +int main() { + assert(testAtan() == 0); + return 0; +} diff --git a/2.3-1/src/c/elementaryFunctions/atan/zatana.c b/2.3-1/src/c/elementaryFunctions/atan/zatana.c new file mode 100644 index 00000000..bfe4fc34 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/atan/zatana.c @@ -0,0 +1,20 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "atan.h" + +void zatana(doubleComplex* x, int size, doubleComplex* y) { + int i = 0; + for (i = 0; i < size; ++i) { + y[i] = zatans(x[i]); + } +} diff --git a/2.3-1/src/c/elementaryFunctions/atan/zatans.c b/2.3-1/src/c/elementaryFunctions/atan/zatans.c new file mode 100644 index 00000000..4b8e9640 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/atan/zatans.c @@ -0,0 +1,242 @@ +/*
+ * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
+ * Copyright (C) 2006-2008 - INRIA - Bruno JOFRET
+ * Copyright (C) Bruno Pincon
+ *
+ * This file must be used under the terms of the CeCILL.
+ * This source file is licensed as described in the file COPYING, which
+ * you should have received as part of this distribution. The terms
+ * are also available at
+ * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt
+ *
+ */
+
+/*
+ PURPOSE
+ watan compute the arctangent of a complex number
+ y = yr + i yi = atan(x), x = xr + i xi
+
+ CALLING LIST / PARAMETERS
+ subroutine watan(xr,xi,yr,yi)
+ double precision xr,xi,yr,yi
+
+ xr,xi: real and imaginary parts of the complex number
+ yr,yi: real and imaginary parts of the result
+ yr,yi may have the same memory cases than xr et xi
+
+ COPYRIGHT (C) 2001 Bruno Pincon and Lydia van Dijk
+ Written by Bruno Pincon <Bruno.Pincon@iecn.u-nancy.fr> so
+ as to get more precision. Also to fix the
+ behavior at the singular points and at the branch cuts.
+ Polished by Lydia van Dijk
+ <lvandijk@hammersmith-consulting.com>
+
+ CHANGES : - (Bruno on 2001 May 22) for ysptrk use a
+ minimax polynome to enlarge the special
+ evaluation zone |s| < SLIM. Also rename
+ this function as lnp1m1.
+ - (Bruno on 2001 June 7) better handling
+ of spurious over/underflow ; remove
+ the call to pythag ; better accuracy
+ in the real part for z near +-i
+
+ EXTERNALS FUNCTIONS
+ dlamch
+ lnp1m1 (at the end of this file)
+
+ ALGORITHM : noting z = a + i*b, we have:
+ Z = yr + yi*b = arctan(z) = (i/2) * log( (i+z)/(i-z) )
+
+ This function has two branch points at +i and -i and the
+ chosen branch cuts are the two half-straight lines
+ D1 = [i, i*oo) and D2 = (-i*oo, i]. The function is then
+ analytic in C \ (D1 U D2)).
+
+ From the definition it follows that:
+
+ yr = 0.5 Arg ( (i+z)/(i-z) ) (1)
+ yi = 0.5 log (|(i+z)/(i-z)|) (2)
+
+ so lim (z -> +- i) yr = undefined (and Nan is logical)
+ lim (z -> +i) yi = +oo
+ lim (z -> -i) yi = -oo
+
+ The real part of arctan(z) is discontinuous across D1 and D2
+ and we impose the following definitions:
+ if imag(z) > 1 then
+ Arg(arctan(z)) = pi/2 (=lim real(z) -> 0+)
+ if imag(z) < 1 then
+ Arg(arctan(z)) = -pi/2 (=lim real(z) -> 0-)
+
+
+ Basic evaluation: if we write (i+z)/(i-z) using
+ z = a + i*b, we get:
+
+ i+z 1-(a**2+b**2) + i*(2a)
+ --- = ----------------------
+ i-z a**2 + (1-b)**2
+
+ then, with r2 = |z|^2 = a**2 + b**2 :
+
+ yr = 0.5 * Arg(1-r2 + (2*a)*i)
+ = 0.5 * atan2(2a, (1-r2)) (3)
+
+ This formula is changed when r2 > RMAX (max pos float)
+ and also when |1-r2| and |a| are near 0 (see comments
+ in the code).
+
+ After some math:
+
+ yi = 0.25 * log( (a**2 + (b + 1)**2) /
+ (a**2 + (b - 1)**2) ) (4)
+
+ Evaluation for "big" |z|
+ ------------------------
+
+ If |z| is "big", the direct evaluation of yi by (4) may
+ suffer of innaccuracies and of spurious overflow. Noting
+ that s = 2 b / (1 + |z|**2), we have:
+
+ yi = 0.25 log ( (1 + s)/(1 - s) ) (5)
+
+ 3 5
+ yi = 0.25*( 2 * ( s + 1/3 s + 1/5 s + ... ))
+
+ yi = 0.25 * lnp1m1(s) if |s| < SLIM
+
+ So if |s| is less than SLIM we switch to a special
+ evaluation done by the function lnp1m1. The
+ threshold value SLIM is choosen by experiment
+ (with the Pari-gp software). For |s|
+ "very small" we used a truncated taylor dvp,
+ else a minimax polynome (see lnp1m1).
+
+ To avoid spurious overflows (which result in spurious
+ underflows for s) in computing s with s= 2 b / (1 + |z|**2)
+ when |z|^2 > RMAX (max positive float) we use :
+
+ s = 2d0 / ( (a/b)*a + b )
+
+ but if |b| = Inf this formula leads to NaN when
+ |a| is also Inf. As we have :
+
+ |s| <= 2 / |b|
+
+ we impose simply : s = 0 when |b| = Inf
+
+ Evaluation for z very near to i or -i:
+ --------------------------------------
+ Floating point numbers of the form a+i or a-i with 0 <
+ a**2 < tiny (approximately 1d-308) may lead to underflow
+ (i.e., a**2 = 0) and the logarithm will break formula (4).
+ So we switch to the following formulas:
+
+ If b = +-1 and |a| < sqrt(tiny) approximately 1d-150 (say)
+ then (by using that a**2 + 4 = 4 in machine for such a):
+
+ yi = 0.5 * log( 2/|a| ) for b=1
+
+ yi = 0.5 * log( |a|/2 ) for b=-1
+
+ finally: yi = 0.5 * sign(b) * log( 2/|a| )
+ yi = 0.5 * sign(b) * (log(2) - log(|a|)) (6)
+
+ The last trick is to avoid overflow for |a|=tiny! In fact
+ this formula may be used until a**2 + 4 = 4 so that the
+ threshold value may be larger.
+*/
+
+#include <math.h>
+#include "lapack.h"
+#include "atan.h"
+#include "abs.h"
+#include "lnp1m1.h"
+
+#define _sign(a, b) b >=0 ? a : -a
+
+doubleComplex zatans(doubleComplex z) {
+ static double sSlim = 0.2;
+ static double sAlim = 1E-150;
+ static double sTol = 0.3;
+ static double sLn2 = 0.6931471805599453094172321;
+
+ double RMax = getOverflowThreshold();
+ double Pi_2 = 2.0 * datans(1);
+
+ double _inReal = zreals(z);
+ double _inImg = zimags(z);
+ double _outReal = 0;
+ double _outImg = 0;
+
+ /* Temporary variables */
+ double R2 = 0;
+ double S = 0;
+
+
+ if(_inImg == 0)
+ {
+ _outReal = datans(_inReal);
+ _outImg = 0;
+ }
+ else
+ {
+ R2 = _inReal * _inReal + _inImg * _inImg; /* Oo */
+ if(R2 > RMax)
+ {
+ if( dabss(_inImg) > RMax)
+ S = 0;
+ else
+ S = 1 / (((0.5 * _inReal) / _inImg) * _inReal + 0.5 * _inImg );
+ }
+ else
+ S = (2 * _inImg) / (1+R2);
+
+ if(dabss(S) < sSlim)
+ {
+ /*
+ s is small: |s| < SLIM <=> |z| outside the following disks:
+ D+ = D(center = [0; 1/slim], radius = sqrt(1/slim**2 - 1)) if b > 0
+ D- = D(center = [0; -1/slim], radius = sqrt(1/slim**2 - 1)) if b < 0
+ use the special evaluation of log((1+s)/(1-s)) (5)
+ */
+ _outImg = dlnp1m1s(S) * 0.25;
+ }
+ else
+ {
+ if(dabss(S) == 1 && dabss(_inReal) <= sAlim)
+ {
+ /* |s| >= SLIM => |z| is inside D+ or D- */
+ _outImg = _sign(0.5,_inImg) * ( sLn2 - log(dabss(_inReal)));
+ }
+ else
+ {
+ _outImg = 0.25 * log((pow(_inReal,2) + pow((_inImg + 1),2)) / (pow(_inReal,2) + pow((_inImg - 1),2)));
+ }
+ }
+ if(_inReal == 0)
+ {/* z is purely imaginary */
+ if( dabss(_inImg) > 1)
+ {/* got sign(b) * pi/2 */
+ _outReal = _sign(1, _inImg) * Pi_2;
+ }
+ else if( dabss(_inImg) == 1)
+ {/* got a Nan with 0/0 */
+ _outReal = (_inReal - _inReal) / (_inReal - _inReal); /* Oo */
+ }
+ else
+ _outReal = 0;
+ }
+ else if(R2 > RMax)
+ {/* _outImg is necessarily very near sign(a)* pi/2 */
+ _outReal = _sign(1, _inReal) * Pi_2;
+ }
+ else if(dabss(1 - R2) + dabss(_inReal) <= sTol)
+ {/* |b| is very near 1 (and a is near 0) some cancellation occur in the (next) generic formula */
+ _outReal = 0.5 * atan2(2 * _inReal, (1-_inImg) * (1 + _inImg) - pow(_inReal,2));
+ }
+ else
+ _outReal = 0.5 * atan2(2 * _inReal, 1 - R2);
+ }
+
+ return DoubleComplex(_outReal, _outImg);
+}
diff --git a/2.3-1/src/c/elementaryFunctions/atan2/Makefile.am b/2.3-1/src/c/elementaryFunctions/atan2/Makefile.am new file mode 100644 index 00000000..becea0f4 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/atan2/Makefile.am @@ -0,0 +1,58 @@ +## +## Scilab ( http://www.scilab.org/ ) - This file is part of Scilab +## Copyright (C) 2008-2008 - INRIA - Allan SIMON +## +## This file must be used under the terms of the CeCILL. +## This source file is licensed as described in the file COPYING, which +## you should have received as part of this distribution. The terms +## are also available at +## http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt +## +## + +libAtan2_la_CFLAGS = -I ../../type \ + -I ../includes + +instdir = $(top_builddir)/lib + +pkglib_LTLIBRARIES = libAtan2.la + +libAtan2_la_SOURCES = $(HEAD) $(SRC) + +SRC = satan2s.c \ + datan2s.c \ + satan2a.c \ + datan2a.c + +HEAD = ../includes/atan2.h + +#### +# Checking Part +#### + +check_INCLUDES = -I $(top_builddir)/src/c/elementaryFunctions/includes \ + -I $(top_builddir)/src/c/type + +check_LDADD = $(top_builddir)/src/c/type/libDoubleComplex.la \ + $(top_builddir)/src/c/type/libFloatComplex.la \ + $(top_builddir)/src/c/operations/addition/libAddition.la \ + $(top_builddir)/src/fortran/lapack/libscilapack.la \ + $(top_builddir)/src/c/elementaryFunctions/atan/libAtan.la \ + $(top_builddir)/src/c/elementaryFunctions/sqrt/libSqrt.la \ + $(top_builddir)/src/c/elementaryFunctions/atan2/libAtan2.la \ + $(top_builddir)/src/c/elementaryFunctions/lnp1m1/libLnp1m1.la \ + 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+# with or without modifications, as long as this notice is preserved. + +# This program is distributed in the hope that it will be useful, +# but WITHOUT ANY WARRANTY, to the extent permitted by law; without +# even the implied warranty of MERCHANTABILITY or FITNESS FOR A +# PARTICULAR PURPOSE. + +@SET_MAKE@ + +VPATH = @srcdir@ +pkgdatadir = $(datadir)/@PACKAGE@ +pkgincludedir = $(includedir)/@PACKAGE@ +pkglibdir = $(libdir)/@PACKAGE@ +pkglibexecdir = $(libexecdir)/@PACKAGE@ +am__cd = CDPATH="$${ZSH_VERSION+.}$(PATH_SEPARATOR)" && cd +install_sh_DATA = $(install_sh) -c -m 644 +install_sh_PROGRAM = $(install_sh) -c +install_sh_SCRIPT = $(install_sh) -c +INSTALL_HEADER = $(INSTALL_DATA) +transform = $(program_transform_name) +NORMAL_INSTALL = : +PRE_INSTALL = : +POST_INSTALL = : +NORMAL_UNINSTALL = : +PRE_UNINSTALL = : +POST_UNINSTALL = : +build_triplet = @build@ +host_triplet = @host@ +check_PROGRAMS = testAtan2$(EXEEXT) +TESTS = testAtan2$(EXEEXT) +subdir = 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* This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "atan2.h" + + +void datan2a(double *in1, int size1, + double *in2, int size2, + double * out) +{ + int i = 0; + + for(i = 0 ; i < size1 && i < size2 ; ++i) + { + out[i] = datan2s( in1[i] , in2[i]) ; + } +}
\ No newline at end of file diff --git a/2.3-1/src/c/elementaryFunctions/atan2/datan2s.c b/2.3-1/src/c/elementaryFunctions/atan2/datan2s.c new file mode 100644 index 00000000..f6c8637c --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/atan2/datan2s.c @@ -0,0 +1,18 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Allan SIMON + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "atan2.h" + + +double datan2s ( double x , double y ) { + return atan2 ( x, y ) ; +} diff --git a/2.3-1/src/c/elementaryFunctions/atan2/satan2a.c b/2.3-1/src/c/elementaryFunctions/atan2/satan2a.c new file mode 100644 index 00000000..0e563915 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/atan2/satan2a.c @@ -0,0 +1,26 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Allan SIMON + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "atan2.h" + + +void satan2a(float *in1, int size1, + float *in2, int size2, + float * out) +{ + int i = 0; + + for(i = 0 ; i < size1 && i < size2 ; ++i) + { + out[i] = satan2s( in1[i] , in2[i]) ; + } +}
\ No newline at end of file diff --git a/2.3-1/src/c/elementaryFunctions/atan2/satan2s.c b/2.3-1/src/c/elementaryFunctions/atan2/satan2s.c new file mode 100644 index 00000000..35015a8c --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/atan2/satan2s.c @@ -0,0 +1,18 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Allan SIMON + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "atan2.h" + + +float satan2s ( float x , float y ) { + return atan2f ( x, y ) ; +}
\ No newline at end of file diff --git a/2.3-1/src/c/elementaryFunctions/atan2/testAtan2.c b/2.3-1/src/c/elementaryFunctions/atan2/testAtan2.c new file mode 100644 index 00000000..bae5fe54 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/atan2/testAtan2.c @@ -0,0 +1,429 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Allan SIMON + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "atan2.h" +#include <assert.h> +#include <stdio.h> +#define SIZE 100 + + +static void satan2sTest ( void ) +{ + + + int i = 0 ; + float Fin1[SIZE] = +{0.0373321f,0.4293466f,0.3157233f,0.3682477f,0.1458774f,0.6768379f,0.5261979f,0.4003626f, +0.0029108f,0.3068181f,0.7902694f,0.9577950f,0.6689271f,0.2929616f,0.8223899f,0.0179846f, +0.8710701f,0.3181024f,0.5724473f,0.5738658f,0.3492018f,0.7067298f,0.3599201f,0.4052311f, +0.6140811f,0.6524047f,0.0295171f,0.5668896f,0.7114017f,0.4588491f,0.4720517f,0.0623731f, +0.0854401f,0.0134564f,0.3543002f,0.6719395f,0.1360619f,0.2119744f,0.4015942f,0.4036219f, +0.5628382f,0.5531093f,0.0768984f,0.5360758f,0.0900212f,0.6218026f,0.0001215f,0.7219727f, +0.6661293f,0.6799288f,0.9514125f,0.1206901f,0.7318910f,0.0831662f,0.8021909f,0.0290492f, +0.6502991f,0.7427882f,0.2176611f,0.9788486f,0.8925237f,0.3511275f,0.4745619f,0.7699462f, +0.0734342f,0.5894619f,0.2378993f,0.4076361f,0.4304818f,0.0370717f,0.6404148f,0.4130743f, +0.8396902f,0.0002195f,0.5085374f,0.4754997f,0.9625065f,0.9798011f,0.0785698f,0.9150032f, +0.6172610f,0.9964195f,0.0468599f,0.9245926f,0.9689865f,0.4916290f,0.2977053f,0.0603055f, +0.6313472f,0.0241030f,0.1527438f,0.9481178f,0.2744266f,0.4794727f,0.4855768f,0.6764004f, +0.8321250f,0.0125876f,0.5453780f,0.8426717f}; + float Fin2[] = +{0.9029165f,0.4409482f,0.8332359f,0.7233976f,0.4377150f,0.3080607f,0.8749813f,0.5355882f, +0.3085999f,0.3354632f,0.2342486f,0.2589412f,0.8521509f,0.4821739f,0.6095218f,0.9872823f, +0.9811427f,0.3303114f,0.3589146f,0.2780528f,0.9583482f,0.0156363f,0.2964352f,0.4685935f, +0.4262021f,0.4217656f,0.1034854f,0.4279759f,0.7860729f,0.8568082f,0.1993437f,0.7131302f, +0.5208952f,0.9311723f,0.4143836f,0.5980196f,0.5549106f,0.8552953f,0.3097751f,0.9446128f, +0.2442680f,0.8760447f,0.4874215f,0.3844019f,0.0922345f,0.0705419f,0.7338807f,0.7792181f, +0.7827638f,0.2161568f,0.3420198f,0.4300938f,0.6261753f,0.9554251f,0.4541551f,0.0029223f, +0.0106921f,0.9746371f,0.7704261f,0.6396631f,0.9535886f,0.4148483f,0.4661540f,0.2238455f, +0.3456973f,0.2340624f,0.6619341f,0.2691180f,0.9830249f,0.7393351f,0.2902136f,0.3995950f, +0.9792278f,0.0075514f,0.7021023f,0.8907506f,0.6526974f,0.4136229f,0.8581691f,0.2396090f, +0.4820042f,0.9848586f,0.4469722f,0.2329814f,0.2234514f,0.8002565f,0.7750734f,0.4825007f, +0.7844883f,0.1534679f,0.7722877f,0.8952022f,0.9467326f,0.6981826f,0.9559161f,0.0484017f, +0.5323521f,0.2946867f,0.6977137f,0.9376204f}; + + float Fout[SIZE] ; + + float Result[] = +{0.0413226f,0.7720683f,0.3621962f,0.4708637f,0.3216938f,1.1436704f,0.5414350f,0.6419116f, +0.0094320f,0.7408287f,1.2826307f,1.3067571f,0.6655192f,0.5459780f,0.9329774f,0.0182142f, +0.7260404f,0.7665715f,1.0107725f,1.1196046f,0.3494266f,1.5486751f,0.8818216f,0.7130133f, +0.9640758f,0.9969006f,0.2778515f,0.9241318f,0.7355747f,0.4916683f,1.1712215f,0.0872419f, +0.1625778f,0.0144500f,0.7073927f,0.8435390f,0.2404522f,0.2429425f,0.9137623f,0.4038071f, +1.1613329f,0.5631677f,0.1564760f,0.9487081f,0.7732547f,1.4578319f,0.0001656f,0.7472834f, +0.7050723f,1.2629896f,1.2256956f,0.2735775f,0.8630843f,0.0868274f,1.0556435f,1.4705351f,1.554356f, +0.6512114f,0.2753444f,0.9919749f,0.7523326f,0.7024002f,0.7943357f,1.2878668f,0.2093122f, +1.1928114f,0.3450245f,0.9872899f,0.4127591f,0.0501000f,1.1453135f,0.8019831f,0.7088335f, +0.0290531f,0.6268536f,0.4903355f,0.9749046f,1.1713423f,0.0913007f,1.3146805f,0.9078258f, +0.7912332f,0.1044568f,1.3239524f,1.3441551f,0.5508964f,0.3667243f,0.1243404f,0.6776540f, +0.1557832f,0.1952610f,0.8140970f,0.2821348f,0.6017738f,0.4700034f,1.4993603f,1.0016604f, +0.0426892f,0.6634603f,0.7321154f} ; + + + + + + + + + for ( i = 0 ; i < SIZE ; ++i) + { + Fout[i] = satan2s( Fin1[i], Fin2[i] ); + printf ( "%e - %e\n" , Fout[i] , Result[i] ); + assert ( fabs ( Fout[i] - Result[i] ) / fabs( Fout[i]) < 3e-4 ); + } + +} + +static void datan2sTest ( void ) +{ + + + int i = 0 ; + double Fin1[SIZE] = +{0.70964269945397973061,0.6610225578770041465759,0.7252350724302232265472, +0.510143497958779335022,0.2824866441078484058380,0.2214915128424763679504, +0.5767575385980308055878,0.7048253491520881652832,0.5607945644296705722809, +0.3628880484029650688171,0.3088326244615018367767,0.9813414867967367172241, +0.7428482254035770893097,0.1616391474381089210510,0.3652521963231265544891, +0.3835070468485355377197,0.1169181005097925662994,0.8911246126517653465271, +0.0634272000752389431000,0.6263941843062639236450,0.6807702076621353626251, +0.2588596837595105171204,0.4394804346375167369843,0.8598818778991699218750, +0.5482823201455175876617,0.8135995296761393547058,0.4898237003944814205170, +0.0240026097744703292847,0.7369195525534451007843,0.2411156157031655311584, +0.1529693226329982280731,0.2648359201848506927490,0.4298193217255175113678, +0.7673939457163214683533,0.8753260499797761440277,0.3796988371759653091431, +0.3062356826849281787872,0.3880051793530583381653,0.1047293278388679027557, +0.7603831812739372253418,0.0340930395759642124176,0.1423966242000460624695, +0.5554559468291699886322,0.8031897451728582382202,0.5183992316015064716339, +0.1518561029806733131409,0.5884730662219226360321,0.2545093484222888946533, +0.9992679939605295658112,0.6398976957425475120544,0.5506716123782098293304, +0.4607007671147584915161,0.5933007937856018543243,0.6538193570449948310852, +0.4168340521864593029022,0.9910155385732650756836,0.3720780410803854465485, +0.7061824081465601921082,0.5780865414999425411224,0.602319641038775444031, +0.5715096746571362018585,0.0549629041925072669983,0.1205854485742747784, +0.0143620483577251434326,0.0257951230742037296295,0.8411248764023184776306, +0.4381882525049149990082,0.4643401596695184707642,0.4197426405735313892365, +0.8023654492571949958801,0.5228588166646659374237,0.5095121040940284729004, +0.4531980180181562900543,0.7817818326875567436218,0.776557037141174077988, +0.0466059204190969467163,0.5113326688297092914581,0.7502101892605423927307, +0.6883628661744296550751,0.0167756117880344390869,0.9345410899259150028229, +0.5609863763675093650818,0.2205847105942666530609,0.7648540753871202468872, +0.4816976976580917835236,0.1558785634115338325500,0.2476022052578628063202, +0.5216529071331024169922,0.0805230387486517429352,0.4409417239949107170105, +0.8911933614872395992279,0.9780590813606977462769,0.4588093762286007404327, +0.5510440031066536903381,0.0960960905067622661591,0.4196785055100917816162, +0.7502556503750383853912,0.7218149593099951744080,0.2895541018806397914886, +0.3907764498144388198853} +; + double Fin2[SIZE] = +{0.6686618146486580371857,0.4877656819298863410950,0.4685971769504249095917, +0.3562648519873619079590,0.3442325466312468051910,0.4253307832404971122742, +0.5588058172725141048431,0.3304864969104528427124,0.4157403339631855487823, +0.1595822656527161598206,0.3883102680556476116180,0.9415460713207721710205, +0.4722979352809488773346,0.8533652639016509056091,0.1207739165984094142914, +0.8999380934983491897583,0.4384902161546051502228,0.8976056622341275215149, +0.4911110657267272472382,0.3402217179536819458008,0.9966153600253164768219, +0.0215395865961909294128,0.6876890822313725948334,0.0044924151152372360229, +0.6397854541428387165070,0.5416147718206048011780,0.2247649203054606914520, +0.7364005260169506072998,0.4496364505030214786530,0.9678138038143515586853, +0.6489060199819505214691,0.2544666919857263565063,0.1923975017853081226349, +0.6861492367461323738098,0.4231455805711448192596,0.6734441593289375305176, +0.8270696722902357578278,0.9360805852338671684265,0.8326222090981900691986, +0.7424779590219259262085,0.0194640238769352436066,0.8016031915321946144104, +0.2554539437405765056610,0.2688109613955020904541,0.7558490769006311893463, +0.4347589677199721336365,0.6425966522656381130219,0.6957868058234453201294, +0.6499576461501419544220,0.2303190128877758979797,0.5504368054680526256561, +0.3038997054100036621094,0.0371030517853796482086,0.1703881053254008293152, +0.5698686256073415279388,0.0036411266773939132690,0.4491547052748501300812, +0.0576810697093605995178,0.4956056098453700542450,0.1888933442533016204834, +0.5641230703331530094147,0.8562210192903876304626,0.0794764286838471889496, +0.6196198705583810806274,0.2241039988584816455841,0.8582094730809330940247, +0.7114551994018256664276,0.8026027604937553405762,0.6153324418701231479645, +0.8958183480426669120789,0.8721761344932019710541,0.8389767911285161972046, +0.2040955354459583759308,0.3166538262739777565002,0.7006825651042163372040, +0.2073105163872241973877,0.5222550616599619388580,0.9416420971974730491638, +0.52116033947095274925,0.4509841967374086380005,0.3961292845197021961212, +0.7240869747474789619446,0.6724055963568389415741,0.2386146038770675659180, +0.7124841609038412570953,0.3286493895575404167175,0.4837769134901463985443, +0.7662767004221677780151,0.3153839264996349811554,0.3489987561479210853577, +0.7413818310014903545380,0.9702721945941448211670,0.1276510567404329776764, +0.3828862151131033897400,0.4882477498613297939301,0.5191949699074029922485, +0.0906856027431786060333,0.6833897503092885017395,0.5022272053174674510956, +0.0540433898568153381348} + + ; + double Fout[SIZE] ; + +double Result[] = +{0.8151222298353714146302,0.9350871051642664077974,0.997145470042032466829, +0.9611705131081605957277,0.6871926567255678408586,0.48011041457317088499, +0.8012054946208865269242,1.132343901220193460588,0.9328596693816280094325, +1.1564937347686861102147,0.6718834468335361798097,0.8060908633813578250127, +1.00447314922565955619,0.1871960989477313985763,1.25145462350922120898, +0.4028428263783953022781,0.2605755136377292391359,0.781774911019853857574, +0.1284394521185465987134,1.073232720478735968683,0.5992812665317298614909, +1.4877780687994013320008,0.5686520903625903455847,1.5655719182360376962038, +0.7085314645036139280521,0.9834619198256084882104,1.140591448484360226345, +0.0325829683756781798842,1.0229420689159220980713,0.2441637219657823987262, +0.2315075947889858876128,0.805363112922971136065,1.1499199282073593320064, +0.8412343166232832958329,1.1205046812517129861675,0.5133888656295326757828, +0.3546137657219728400726,0.3929433432393027447738,0.1251254110872664360166, +0.7973116893083483924798,1.0520419606393343059381,0.1758058639068769690716, +1.1397404905667376517897,1.2478349146446092721163,0.6011661864384908460224, +0.336040406143340686373,0.7414617770855178591205,0.35066862507579671382, +0.994116233357116407809,1.225301837543258720586,0.7856114093437986944934, +0.9876695123648748797507,1.5083409965621017434501,1.3158623593693956621564, +0.6315271916809107599633,1.5671222065095873343665,0.6918174612768925868522, +1.4892971216950183777072,0.8620674912261098166155,1.2669007116100525767166, +0.7919024670030506696250,0.0641044712091229373918,0.9880588227443989346455, +0.0231746556747607738991,0.1145990356665423787197,0.7753448027391854902035, +0.5520317684396915947076,0.5244928157781221234046,0.5986382937223412303851, +0.730422528982288210564,0.5400426833033002971263,0.5457711699419741657735, +1.1476553996273199942380,1.1859516842120860768972,0.8367154013891151542737, +0.2211356254003243038131,0.7748311007637324054897,0.6727280587907351616650, +0.9227659311220508531193,0.0371806395770535452749,1.16987833340959523909, +0.6591538541213141089159,0.3169908006212094342402,1.2683907108855461132180, +0.5944925989956957312899,0.4428774366489620084586,0.4730514714397818787361, +0.5976982909559278578371,0.2499770826480406105130,0.9012690725036259786762, +0.8769058262572594353301,0.7893948375778501169719,1.2994367291712400902526, +0.9635433198261218468161,0.1943343662922066283905,0.6797968572652465235606, +1.4505069462951736269929,0.8127362698086932901731,0.5229909037180106023968, +1.4333705873570850020116}; + + + + for ( i = 0 ; i < SIZE ; ++i) + { + Fout[i] = datan2s( Fin1[i], Fin2[i] ); + printf ( "%e - %e\n" , Fout[i] , Result[i] ); + assert ( fabs ( Fout[i] - Result[i] ) / fabs( Fout[i]) < 1e-16 ); + } + +} + + +static void satan2aTest ( void ) +{ + + + int i = 0 ; + float Fin1[SIZE] = +{0.0373321f,0.4293466f,0.3157233f,0.3682477f,0.1458774f,0.6768379f,0.5261979f,0.4003626f, +0.0029108f,0.3068181f,0.7902694f,0.9577950f,0.6689271f,0.2929616f,0.8223899f,0.0179846f, +0.8710701f,0.3181024f,0.5724473f,0.5738658f,0.3492018f,0.7067298f,0.3599201f,0.4052311f, +0.6140811f,0.6524047f,0.0295171f,0.5668896f,0.7114017f,0.4588491f,0.4720517f,0.0623731f, +0.0854401f,0.0134564f,0.3543002f,0.6719395f,0.1360619f,0.2119744f,0.4015942f,0.4036219f, +0.5628382f,0.5531093f,0.0768984f,0.5360758f,0.0900212f,0.6218026f,0.0001215f,0.7219727f, +0.6661293f,0.6799288f,0.9514125f,0.1206901f,0.7318910f,0.0831662f,0.8021909f,0.0290492f, +0.6502991f,0.7427882f,0.2176611f,0.9788486f,0.8925237f,0.3511275f,0.4745619f,0.7699462f, +0.0734342f,0.5894619f,0.2378993f,0.4076361f,0.4304818f,0.0370717f,0.6404148f,0.4130743f, +0.8396902f,0.0002195f,0.5085374f,0.4754997f,0.9625065f,0.9798011f,0.0785698f,0.9150032f, +0.6172610f,0.9964195f,0.0468599f,0.9245926f,0.9689865f,0.4916290f,0.2977053f,0.0603055f, +0.6313472f,0.0241030f,0.1527438f,0.9481178f,0.2744266f,0.4794727f,0.4855768f,0.6764004f, +0.8321250f,0.0125876f,0.5453780f,0.8426717f}; + float Fin2[] = +{0.9029165f,0.4409482f,0.8332359f,0.7233976f,0.4377150f,0.3080607f,0.8749813f,0.5355882f, +0.3085999f,0.3354632f,0.2342486f,0.2589412f,0.8521509f,0.4821739f,0.6095218f,0.9872823f, +0.9811427f,0.3303114f,0.3589146f,0.2780528f,0.9583482f,0.0156363f,0.2964352f,0.4685935f, +0.4262021f,0.4217656f,0.1034854f,0.4279759f,0.7860729f,0.8568082f,0.1993437f,0.7131302f, +0.5208952f,0.9311723f,0.4143836f,0.5980196f,0.5549106f,0.8552953f,0.3097751f,0.9446128f, +0.2442680f,0.8760447f,0.4874215f,0.3844019f,0.0922345f,0.0705419f,0.7338807f,0.7792181f, +0.7827638f,0.2161568f,0.3420198f,0.4300938f,0.6261753f,0.9554251f,0.4541551f,0.0029223f, +0.0106921f,0.9746371f,0.7704261f,0.6396631f,0.9535886f,0.4148483f,0.4661540f,0.2238455f, +0.3456973f,0.2340624f,0.6619341f,0.2691180f,0.9830249f,0.7393351f,0.2902136f,0.3995950f, +0.9792278f,0.0075514f,0.7021023f,0.8907506f,0.6526974f,0.4136229f,0.8581691f,0.2396090f, +0.4820042f,0.9848586f,0.4469722f,0.2329814f,0.2234514f,0.8002565f,0.7750734f,0.4825007f, +0.7844883f,0.1534679f,0.7722877f,0.8952022f,0.9467326f,0.6981826f,0.9559161f,0.0484017f, +0.5323521f,0.2946867f,0.6977137f,0.9376204f}; + + float Fout[SIZE] ; + + float Result[] = +{0.0413226f,0.7720683f,0.3621962f,0.4708637f,0.3216938f,1.1436704f,0.5414350f,0.6419116f, +0.0094320f,0.7408287f,1.2826307f,1.3067571f,0.6655192f,0.5459780f,0.9329774f,0.0182142f, +0.7260404f,0.7665715f,1.0107725f,1.1196046f,0.3494266f,1.5486751f,0.8818216f,0.7130133f, +0.9640758f,0.9969006f,0.2778515f,0.9241318f,0.7355747f,0.4916683f,1.1712215f,0.0872419f, +0.1625778f,0.0144500f,0.7073927f,0.8435390f,0.2404522f,0.2429425f,0.9137623f,0.4038071f, +1.1613329f,0.5631677f,0.1564760f,0.9487081f,0.7732547f,1.4578319f,0.0001656f,0.7472834f, +0.7050723f,1.2629896f,1.2256956f,0.2735775f,0.8630843f,0.0868274f,1.0556435f,1.4705351f,1.554356f, +0.6512114f,0.2753444f,0.9919749f,0.7523326f,0.7024002f,0.7943357f,1.2878668f,0.2093122f, +1.1928114f,0.3450245f,0.9872899f,0.4127591f,0.0501000f,1.1453135f,0.8019831f,0.7088335f, +0.0290531f,0.6268536f,0.4903355f,0.9749046f,1.1713423f,0.0913007f,1.3146805f,0.9078258f, +0.7912332f,0.1044568f,1.3239524f,1.3441551f,0.5508964f,0.3667243f,0.1243404f,0.6776540f, +0.1557832f,0.1952610f,0.8140970f,0.2821348f,0.6017738f,0.4700034f,1.4993603f,1.0016604f, +0.0426892f,0.6634603f,0.7321154f} ; + + + + + + + satan2a( Fin1, SIZE , Fin2 , SIZE , Fout ); + + for ( i = 0 ; i < SIZE ; ++i) + { + printf ( "%e - %e\n" , Fout[i] , Result[i] ); + assert ( fabs ( Fout[i] - Result[i] ) / fabs( Fout[i]) < 3e-4 ); + } + +} + +static void datan2aTest ( void ) +{ + + + int i = 0 ; + double Fin1[SIZE] = +{0.70964269945397973061,0.6610225578770041465759,0.7252350724302232265472, +0.510143497958779335022,0.2824866441078484058380,0.2214915128424763679504, +0.5767575385980308055878,0.7048253491520881652832,0.5607945644296705722809, +0.3628880484029650688171,0.3088326244615018367767,0.9813414867967367172241, +0.7428482254035770893097,0.1616391474381089210510,0.3652521963231265544891, +0.3835070468485355377197,0.1169181005097925662994,0.8911246126517653465271, +0.0634272000752389431000,0.6263941843062639236450,0.6807702076621353626251, +0.2588596837595105171204,0.4394804346375167369843,0.8598818778991699218750, +0.5482823201455175876617,0.8135995296761393547058,0.4898237003944814205170, +0.0240026097744703292847,0.7369195525534451007843,0.2411156157031655311584, +0.1529693226329982280731,0.2648359201848506927490,0.4298193217255175113678, +0.7673939457163214683533,0.8753260499797761440277,0.3796988371759653091431, +0.3062356826849281787872,0.3880051793530583381653,0.1047293278388679027557, +0.7603831812739372253418,0.0340930395759642124176,0.1423966242000460624695, +0.5554559468291699886322,0.8031897451728582382202,0.5183992316015064716339, +0.1518561029806733131409,0.5884730662219226360321,0.2545093484222888946533, +0.9992679939605295658112,0.6398976957425475120544,0.5506716123782098293304, +0.4607007671147584915161,0.5933007937856018543243,0.6538193570449948310852, +0.4168340521864593029022,0.9910155385732650756836,0.3720780410803854465485, +0.7061824081465601921082,0.5780865414999425411224,0.602319641038775444031, +0.5715096746571362018585,0.0549629041925072669983,0.1205854485742747784, +0.0143620483577251434326,0.0257951230742037296295,0.8411248764023184776306, +0.4381882525049149990082,0.4643401596695184707642,0.4197426405735313892365, +0.8023654492571949958801,0.5228588166646659374237,0.5095121040940284729004, +0.4531980180181562900543,0.7817818326875567436218,0.776557037141174077988, +0.0466059204190969467163,0.5113326688297092914581,0.7502101892605423927307, +0.6883628661744296550751,0.0167756117880344390869,0.9345410899259150028229, +0.5609863763675093650818,0.2205847105942666530609,0.7648540753871202468872, +0.4816976976580917835236,0.1558785634115338325500,0.2476022052578628063202, +0.5216529071331024169922,0.0805230387486517429352,0.4409417239949107170105, +0.8911933614872395992279,0.9780590813606977462769,0.4588093762286007404327, +0.5510440031066536903381,0.0960960905067622661591,0.4196785055100917816162, +0.7502556503750383853912,0.7218149593099951744080,0.2895541018806397914886, +0.3907764498144388198853} +; + double Fin2[SIZE] = +{0.6686618146486580371857,0.4877656819298863410950,0.4685971769504249095917, +0.3562648519873619079590,0.3442325466312468051910,0.4253307832404971122742, +0.5588058172725141048431,0.3304864969104528427124,0.4157403339631855487823, +0.1595822656527161598206,0.3883102680556476116180,0.9415460713207721710205, +0.4722979352809488773346,0.8533652639016509056091,0.1207739165984094142914, +0.8999380934983491897583,0.4384902161546051502228,0.8976056622341275215149, +0.4911110657267272472382,0.3402217179536819458008,0.9966153600253164768219, +0.0215395865961909294128,0.6876890822313725948334,0.0044924151152372360229, +0.6397854541428387165070,0.5416147718206048011780,0.2247649203054606914520, +0.7364005260169506072998,0.4496364505030214786530,0.9678138038143515586853, +0.6489060199819505214691,0.2544666919857263565063,0.1923975017853081226349, +0.6861492367461323738098,0.4231455805711448192596,0.6734441593289375305176, +0.8270696722902357578278,0.9360805852338671684265,0.8326222090981900691986, +0.7424779590219259262085,0.0194640238769352436066,0.8016031915321946144104, +0.2554539437405765056610,0.2688109613955020904541,0.7558490769006311893463, +0.4347589677199721336365,0.6425966522656381130219,0.6957868058234453201294, +0.6499576461501419544220,0.2303190128877758979797,0.5504368054680526256561, +0.3038997054100036621094,0.0371030517853796482086,0.1703881053254008293152, +0.5698686256073415279388,0.0036411266773939132690,0.4491547052748501300812, +0.0576810697093605995178,0.4956056098453700542450,0.1888933442533016204834, +0.5641230703331530094147,0.8562210192903876304626,0.0794764286838471889496, +0.6196198705583810806274,0.2241039988584816455841,0.8582094730809330940247, +0.7114551994018256664276,0.8026027604937553405762,0.6153324418701231479645, +0.8958183480426669120789,0.8721761344932019710541,0.8389767911285161972046, +0.2040955354459583759308,0.3166538262739777565002,0.7006825651042163372040, +0.2073105163872241973877,0.5222550616599619388580,0.9416420971974730491638, +0.52116033947095274925,0.4509841967374086380005,0.3961292845197021961212, +0.7240869747474789619446,0.6724055963568389415741,0.2386146038770675659180, +0.7124841609038412570953,0.3286493895575404167175,0.4837769134901463985443, +0.7662767004221677780151,0.3153839264996349811554,0.3489987561479210853577, +0.7413818310014903545380,0.9702721945941448211670,0.1276510567404329776764, +0.3828862151131033897400,0.4882477498613297939301,0.5191949699074029922485, +0.0906856027431786060333,0.6833897503092885017395,0.5022272053174674510956, +0.0540433898568153381348} + + ; + double Fout[SIZE] ; + +double Result[] = +{0.8151222298353714146302,0.9350871051642664077974,0.997145470042032466829, +0.9611705131081605957277,0.6871926567255678408586,0.48011041457317088499, +0.8012054946208865269242,1.132343901220193460588,0.9328596693816280094325, +1.1564937347686861102147,0.6718834468335361798097,0.8060908633813578250127, +1.00447314922565955619,0.1871960989477313985763,1.25145462350922120898, +0.4028428263783953022781,0.2605755136377292391359,0.781774911019853857574, +0.1284394521185465987134,1.073232720478735968683,0.5992812665317298614909, +1.4877780687994013320008,0.5686520903625903455847,1.5655719182360376962038, +0.7085314645036139280521,0.9834619198256084882104,1.140591448484360226345, +0.0325829683756781798842,1.0229420689159220980713,0.2441637219657823987262, +0.2315075947889858876128,0.805363112922971136065,1.1499199282073593320064, +0.8412343166232832958329,1.1205046812517129861675,0.5133888656295326757828, +0.3546137657219728400726,0.3929433432393027447738,0.1251254110872664360166, +0.7973116893083483924798,1.0520419606393343059381,0.1758058639068769690716, +1.1397404905667376517897,1.2478349146446092721163,0.6011661864384908460224, +0.336040406143340686373,0.7414617770855178591205,0.35066862507579671382, +0.994116233357116407809,1.225301837543258720586,0.7856114093437986944934, +0.9876695123648748797507,1.5083409965621017434501,1.3158623593693956621564, +0.6315271916809107599633,1.5671222065095873343665,0.6918174612768925868522, +1.4892971216950183777072,0.8620674912261098166155,1.2669007116100525767166, +0.7919024670030506696250,0.0641044712091229373918,0.9880588227443989346455, +0.0231746556747607738991,0.1145990356665423787197,0.7753448027391854902035, +0.5520317684396915947076,0.5244928157781221234046,0.5986382937223412303851, +0.730422528982288210564,0.5400426833033002971263,0.5457711699419741657735, +1.1476553996273199942380,1.1859516842120860768972,0.8367154013891151542737, +0.2211356254003243038131,0.7748311007637324054897,0.6727280587907351616650, +0.9227659311220508531193,0.0371806395770535452749,1.16987833340959523909, +0.6591538541213141089159,0.3169908006212094342402,1.2683907108855461132180, +0.5944925989956957312899,0.4428774366489620084586,0.4730514714397818787361, +0.5976982909559278578371,0.2499770826480406105130,0.9012690725036259786762, +0.8769058262572594353301,0.7893948375778501169719,1.2994367291712400902526, +0.9635433198261218468161,0.1943343662922066283905,0.6797968572652465235606, +1.4505069462951736269929,0.8127362698086932901731,0.5229909037180106023968, +1.4333705873570850020116}; + + + + datan2a( Fin1, SIZE , Fin2 , SIZE , Fout ); + + for ( i = 0 ; i < SIZE ; ++i) + { + printf ( "%e - %e\n" , Fout[i] , Result[i] ); + assert ( fabs ( Fout[i] - Result[i] ) / fabs( Fout[i]) < 1e-17 ); + } + +} + + + + +static int testAtan2 (void) { + + printf("\n>>>> Float a Tests\n"); + satan2aTest(); +printf("\t>>>> Double a Tests\n"); + datan2aTest(); +printf("\t>>>> Double s Tests\n"); + datan2sTest(); +printf("\t>>>> Float s Tests\n"); + satan2sTest(); + + return 0; +} + + +int main(void) { + assert(testAtan2() == 0); + return 0; +} diff --git a/2.3-1/src/c/elementaryFunctions/atanh/Makefile.am b/2.3-1/src/c/elementaryFunctions/atanh/Makefile.am new file mode 100644 index 00000000..df8ec211 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/atanh/Makefile.am @@ -0,0 +1,68 @@ +## +## Scilab ( http://www.scilab.org/ ) - This file is part of Scilab +## Copyright (C) 2008-2008 - INRIA - Bruno JOFRET +## +## This file must be used under the terms of the CeCILL. +## This source file is licensed as described in the file COPYING, which +## you should have received as part of this distribution. The terms +## are also available at +## http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt +## +## + +libAtanh_la_CFLAGS = -I ../../type \ + -I ../includes + +instdir = $(top_builddir)/lib + +pkglib_LTLIBRARIES = libAtanh.la + +libAtanh_la_SOURCES = $(HEAD) $(SRC) + +SRC = satanhs.c \ + datanhs.c \ + catanhs.c \ + zatanhs.c \ + satanha.c \ + datanha.c \ + catanha.c \ + zatanha.c + +HEAD = ../includes/atanh.h + +#### +# Checking Part +#### + +check_INCLUDES = -I $(top_builddir)/src/c/elementaryFunctions/includes \ + -I $(top_builddir)/src/c/auxiliaryFunctions/includes \ + -I $(top_builddir)/src/c/type + +check_LDADD = $(top_builddir)/src/c/type/libDoubleComplex.la \ + $(top_builddir)/src/c/type/libFloatComplex.la \ + $(top_builddir)/src/c/operations/addition/libAddition.la \ + $(top_builddir)/src/fortran/lapack/libscilapack.la \ + $(top_builddir)/src/c/elementaryFunctions/atan/libAtan.la \ + $(top_builddir)/src/c/elementaryFunctions/sqrt/libSqrt.la \ + 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distclean-libtool distclean-tags distdir dvi \ + dvi-am html html-am info info-am install install-am \ + install-data install-data-am install-dvi install-dvi-am \ + install-exec install-exec-am install-html install-html-am \ + install-info install-info-am install-man install-pdf \ + install-pdf-am install-pkglibLTLIBRARIES install-ps \ + install-ps-am install-strip installcheck installcheck-am \ + installdirs maintainer-clean maintainer-clean-generic \ + mostlyclean mostlyclean-compile mostlyclean-generic \ + mostlyclean-libtool pdf pdf-am ps ps-am tags uninstall \ + uninstall-am uninstall-pkglibLTLIBRARIES + + +# Tell versions [3.59,3.63) of GNU make to not export all variables. +# Otherwise a system limit (for SysV at least) may be exceeded. +.NOEXPORT: diff --git a/2.3-1/src/c/elementaryFunctions/atanh/catanha.c b/2.3-1/src/c/elementaryFunctions/atanh/catanha.c new file mode 100644 index 00000000..0c7a77eb --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/atanh/catanha.c @@ -0,0 +1,20 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "atanh.h" + +void catanha(floatComplex* x, int size, floatComplex* y) { + int i = 0; + for (i = 0; i < size; ++i) { + y[i] = catanhs(x[i]); + } +} diff --git a/2.3-1/src/c/elementaryFunctions/atanh/catanhs.c b/2.3-1/src/c/elementaryFunctions/atanh/catanhs.c new file mode 100644 index 00000000..8c975154 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/atanh/catanhs.c @@ -0,0 +1,20 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "atanh.h" +#include "atan.h" + +floatComplex catanhs(floatComplex z) { + floatComplex minus_i_z = FloatComplex(cimags(z), -creals(z)); + floatComplex atan_minus_i_z = catans(minus_i_z); + return FloatComplex(-cimags(atan_minus_i_z), creals(atan_minus_i_z)); +} diff --git a/2.3-1/src/c/elementaryFunctions/atanh/datanha.c b/2.3-1/src/c/elementaryFunctions/atanh/datanha.c new file mode 100644 index 00000000..01189a8d --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/atanh/datanha.c @@ -0,0 +1,20 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "atanh.h" + +void datanha(double* x, int size, double* y) { + int i = 0; + for (i = 0; i < size; ++i) { + y[i] = datanhs(x[i]); + } +} diff --git a/2.3-1/src/c/elementaryFunctions/atanh/datanhs.c b/2.3-1/src/c/elementaryFunctions/atanh/datanhs.c new file mode 100644 index 00000000..e5eddf39 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/atanh/datanhs.c @@ -0,0 +1,23 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "atanh.h" +#include "atan.h" +/* +// METHOD +// based on the formula atanh(z) = i atan(-i z) +// +// Real case : atanh(x) = -imag(atan(-i x)) +*/ +double datanhs(double x) { + return (-zimags(zatans(DoubleComplex(0.0, -x)))); +} diff --git a/2.3-1/src/c/elementaryFunctions/atanh/satanha.c b/2.3-1/src/c/elementaryFunctions/atanh/satanha.c new file mode 100644 index 00000000..48b79a0d --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/atanh/satanha.c @@ -0,0 +1,20 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "atanh.h" + +void satanha(float* x, int size, float* y) { + int i = 0; + for (i = 0; i < size; ++i) { + y[i] = satanhs(x[i]); + } +} diff --git a/2.3-1/src/c/elementaryFunctions/atanh/satanhs.c b/2.3-1/src/c/elementaryFunctions/atanh/satanhs.c new file mode 100644 index 00000000..15354aad --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/atanh/satanhs.c @@ -0,0 +1,18 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "atanh.h" +#include "atan.h" + +float satanhs(float x) { + return (-cimags(catans(FloatComplex(0.0, -x)))); +} diff --git a/2.3-1/src/c/elementaryFunctions/atanh/testAtanh.h b/2.3-1/src/c/elementaryFunctions/atanh/testAtanh.h new file mode 100644 index 00000000..c683c179 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/atanh/testAtanh.h @@ -0,0 +1,40 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2007-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#ifndef _TESTATANH_H_ +#define _TESTATANH_H_ + +#include <stdio.h> +#include <assert.h> +#include <math.h> +#include "atanh.h" +#include "constant.h" + +void satanhsTest(void); + +void satanhaTest(void); + +void datanhsTest(void); + +void datanhaTest(void); + +void catanhsTest(void); + +void catanhaTest(void); + +void zatanhsTest(void); + +void zatanhaTest(void); + +int testAtanh(void); + +#endif /* !_TESTATANH_H_ */ diff --git a/2.3-1/src/c/elementaryFunctions/atanh/testDoubleAtanh.c b/2.3-1/src/c/elementaryFunctions/atanh/testDoubleAtanh.c new file mode 100644 index 00000000..03b97e8f --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/atanh/testDoubleAtanh.c @@ -0,0 +1,605 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "testAtanh.h" +#include "isnan.h" + +#define SOURCE {-1.1105866164187250255679,-1.0028386111936116176224,0.2375765916352992890292,\ +-1.9260782734203465427214,1.6339029335662884623304,0.4006142544568777608127,\ +-0.1884054141613809019162,0.3250370808239260722594,0.4942341130822986983162,\ +-0.5271214361991748420522,-0.2047974713791562706433,-0.6989092545405519718571,\ +-0.7715561486980614391840,-0.571989225566208348006,-0.5020150984917894909643,\ +-2.2857334641783242368263,2.332010485133160226923,1.3889136138977253853710,\ +1.3789467621494246873937,0.1097978131481585906126,-0.0647218447158609960779,\ +0.0281807372021152316433,0.1350188864488831574917,1.0304207301469319180143,\ +1.2534650597477734468299,-0.6673847151191693027883,0.7687329161404042876526,\ +0.9397659613234893294376,-0.1842256540708016310237,-0.6380964000421092130466,\ +-0.4312384814994691395462,0.2955203345655439961526,-0.9485014036835781592316,\ +-0.7318488744075331009498,1.0038104194654713374746,-1.1353561092070965088396,\ +-1.0960321876977914268281,-0.0171134176442899188508,-0.5858103496627128370378,\ +0.1289555865425900393895,1.5820296359767425098397,-1.4631497998103890623156,\ +1.2963845181574007447978,-0.3801415377268548834166,2.06830447887869084411,\ +-0.5625246161593648874799,0.5326361661049561213588,-1.2444472935191353002438,\ +1.98041335297601972520,-1.1243976757801756871658,-0.2002672475586080858001,\ +-0.8369527550627472445299,-0.5501861155367867572963,-0.4142018271607930679501,\ +0.0805610771656549429220,1.1377543872793591805959,0.0358630657002049213489,\ +-0.7784293535508046701921,0.1468114639619267913773,0.8017875463824070125796,\ +0.9541283226908341408290,0.2570812112878080313294,0.5669583797452802942374,\ +-0.5124357940757415796895,-1.0874670623228419596984,0.1679748561443953069894,\ 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+1.1100538942612350190586,0.4362472672541874985086,1.6185312525007526929244,\ +-0.2435431173062182208522,1.3489566990051822248375,0.7594498437474611618470,\ +-0.2810994191894010674204,0.0572337467470783664569,-0.2986850540752242211262,\ +0.3080328437634018978741,-1.063898707867213300204,-0.4732241206771939379117,\ +0.4359979545522715271844,-1.1975945596394972358922,-2.0463590761656762495591,\ +-1.6981361097863292286547,-0.3298420709745075729558,0.6443404115154376388119,\ +1.1582132747946760620295,-0.1360263343598554774960,1.1191856336437415730956,\ +-0.3857336264473540388131,-0.9009857125105711350699,-0.6654259233895634118028,\ +0.8142113557520732625150,-0.7421459588282103281287,-0.7442082361451903826932,\ +-0.7150337980929084569226,0.9101123379002086233314,1.6512593716591941195304,\ +0.5444875921569681809231,-1.4717893200735545633506,-0.2233299046672752585785,\ +-0.0991741463892287511417,-0.9902546973703609811679,-1.376446086882661790085,\ +-1.7488399727971684072259,1.8239775508132596293365,-0.2630036367047015599674,\ +-0.5010962842642737724574,-0.5862555775092695986572,-1.3195380346103915414346,\ +-0.3864449051827200110054,-0.0225200748008141174439,-0.9526576040369814091235,\ +1.6155833271255157779223,1.2505121957121025921822,-0.1546296525315759562424,\ +0.7865497689541539605429,-0.6949758322935190024694,-0.4332203785337710999492,\ +0.6084666055394067907258,0.2648887243137521552150,-0.3173806367287662633103,\ +-0.9277748648924035723695,-0.6967437125955047161341,0.0106825075357279020843,\ +0.7977499585474604471003,0.9612439572909651230859,0.6750778949370804804531,\ +0.0690725368983376858401,-1.8076399886892613455558,-0.2596249600654364497743,\ +0.6728882350569161951981,-0.4537439012069451327314,0.695587590556807633391,\ +1.2463414096089968641223,-0.2637405473740589423315,-0.8045531944567444471161,\ +0.2829556705817293793537,0.1166763530431780965246,1.0028892209395869894450,\ +0.4234280063942446603598,0.6056937191431178701961,-1.4168714241399820163991,\ +-0.7415110426654055730822,-1.6002352979874459038001,-0.0441220186662526561716,\ +-0.6809183287313597121582,0.2835255852521558761481,0.2496331067144885174081,\ +0.1563210463282909690186,-1.006767784835231216434,-0.6458091780006059989816,\ +-2.529451976430145521135,-0.4966644528621277365765,0.3057445000796202294602,\ +0.0051108872162743653259,0.3463692486733729314352,0.4684023556979828861735,\ +-2.0819698824296395400779,-1.8736446723365958177965,0.5032045449115828406050,\ +1.0514506638411960093293,-0.5657157774822674234372,-0.2842153768346438180714,\ +0.1431506224954579853392,1.0806316268163596028273} + +/* +#define RESULT {-1.4744610660983759053977+%i*1.5707963267948965579990,\ +-3.2795029213225106445861+%i*1.5707963267948965579990,0.2422041646840577544531,\ +-0.5752297863073998485106+%i*1.5707963267948965579990,\ +0.7121630945985538696519-%i*1.5707963267948965579990,0.4243803995861772371256,\ 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+1.6252679142635939602002-%i*1.5707963267948965579990} +*/ +#define ZSOURCER {0.1566312085376346807664,-0.9832172164912469369824,-0.4352704306190940952703,\ +0.5411529581857100756892,-0.4189678441885264503775,-0.3123240835354778588417,\ +-0.6429953452754243459211,0.5746034575341304462270,0.0583200256392587754184,\ +-0.7281504683187327575666,0.4564682359303286474095,1.2276307555220513645367,\ +1.0722151830463704236251,-0.8694353593641974686790,0.4560977429718384712487,\ +0.922397585949679688078,0.3447492619094876808994,-1.2072516069836567442763,\ +-3.0311848873460989217676,-0.5227521113472203273531,-0.9127256852426085531604,\ +0.9702908997340189412029,0.7984557906741573951592,-0.374280495762714437991,\ +0.2178224309624917087724,-0.7621335705740988064605,0.4017588191443041689688,\ +0.0259981222714757570502,-2.250132425948803138738,0.5878367273362664624514,\ +2.3809410297786541832465,0.1486053165381447105364,0.101236219868174881498,\ 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+-1.1660526540945894691248,2.4012435579972462029730,1.8717476066252398680945,\ +0.6269431765551266577674,-0.7276289505214773578601,0.5485159953217271233683,\ +-1.0371187436769986334184,2.282202076649753941240} + +#define ZRESULTR {0.0586345786159515672264,-0.4119079581767730036113,-0.2376773392005311347219,\ +0.5274985111723742292611,-0.3785076402666358030835,-0.0984442400006558665515,\ +-0.5157322835496214175066,0.1877549307968403857760,0.0529309487949000886942,\ +-0.8980782630098248509043,0.1535280327645664466552,0.3347825460369071581823,\ +0.3118103625565722958335,-0.4854100811784345381739,0.4200271027799429846006,\ +0.558160367722654870981,0.3440445808210612077538,-0.9190853850068781971672,\ +-0.2206972238733744262618,-0.3495146734241325048309,-0.3828254526784128919381,\ +0.3837160824181031770763,0.6067122840309074893739,-0.3528285483819846302112,\ +0.2081338122939639656561,-0.3109916924279712002743,0.3607981848765179355709,\ +0.0230220619188065515892,-0.4409843876587154487545,0.6706334235337022553480,\ +0.4476928944367338791821,0.0530051009287677843407,0.0580922710665942171326,\ +0.6889248635636368023327,-0.7403179849986993854571,-0.6014835481325517818618,\ +0.9148458682398055152873,-0.9100406392834269331260,-0.3512629496668798201320,\ +-0.0497281250251861567380,-0.4533232590993708788218,0.1183827451686376569517,\ +-0.5400714293963024825729,0.0986159601519734224651,-0.0080964813496256192449,\ +1.2504251172076377152109,0.553383982176059552316,0.2851532314993195926789,\ +-0.1735373380028721046475,-0.3392884681219434650501,0.6674877635610125814480,\ +0.3361668249120546292374,-0.0103608516149833115860,0.6876886023380593959686,\ +0.2994018975364160506381,-0.5461669463711513738957,-0.3036470157958083837535,\ +0.5659099835134179246054,-0.2522688982901432619421,0.73840604848731461463,\ +-0.1399717847889199173750,0.2285367773899925347703,-0.3073816797691770186240,\ +0.3738323046463303267473,0.6895008314715558306318,-0.0869179912549136179933,\ +0.1045814791078650968226,0.2183617419002600035238,0.1799962512946713666384,\ +-0.4306170362358095471400,-0.956790010441086580251,-0.2988659063401313820130,\ +-0.26528818791890551587,1.2018988344435987958292,0.6134078020904577543959,\ +-0.4635409097157874858119,0.4066731412601408690577,-0.0129216461290907521503,\ +0.5459518490067882812156,0.0551242941387568297085,0.4571890743247491450951,\ +0.1235106929418888221939,-0.8301715333893021631084,-0.3700021952100086553017,\ +0.1433522018206848380739,0.3867313699737674470569,-0.1503114555841373045642,\ +0.0501390172375495365986,1.193524050554648274769,0.3916234392819171183930,\ +-0.2811037877759303138525,0.3767282302151824247005,0.7464338830239950484113,\ +0.4613726054161970124845,0.6177367275920276901147,0.3993738908711506052640,\ +0.2139276426895061200550,-0.0554860078847602203322,0.5165924809229520686671,\ +0.1633124027176871273515,-0.2918709165103665625907,-0.2528080890770357247455,\ +0.2897583915934112130941,0.4021736360794072595581,-0.713539018877845987454,\ +0.3562716257530119112751,0.7547097044407786725628,0.2233423544188815612621,\ +-0.3032157270895312062287,0.1400739703409606129458,-0.0867211925226533952848,\ +-0.0758855325499612903828,-0.3269646450472631915574,-0.0564625318897502212478,\ +0.6090972295195002939039,0.2104281878811394279616,-0.0676285383445118792878,\ +-0.1277092508406163506862,-0.7041149381903939463712,-0.3071683332013411815709,\ +-0.4736979352269045095980,-0.1404550230528205378988,-0.0412179517191962191403,\ +0.3529283428251930310182,0.1380434056063472858522,0.6051661095195016715209,\ +-0.5594498837332433360814,-0.3889971602159096875084,0.2168075281019664068971,\ +-0.3028666557798217473518,-0.1458483340857026078208,0.4293137169051447488144,\ +0.6953697523295457871839,0.1321249855766219449826,-0.4265596445818128912286,\ +0.3486234081846604770938,0.3421608935025099995642,0.2115120471977689209364,\ +-0.2203370156751261743633,0.1545639581145290264441,0.0357922784779254460341,\ +0.5794250482661091883330,0.4312552311016552564205,-0.3727620017605887681178,\ +0.1576377379130869393897,0.2624856474568436071060,1.3577286999442579329411,\ +0.4860182340340697959569,0.7617714539289787145648,0.0366834217396586823035,\ +-0.0394322693273299676453,0.9807192175900326658322,-0.6164954700307514467994,\ +-0.0357893654572665059765,-0.4572287236587250780495,0.0072135289476597582586,\ +0.0765359692550191955673,0.0335408660165012612042,0.4931690601828112585636,\ +0.4939993220457917777466,-0.296325232124018844715,-0.2516901659302647753513,\ +-0.1874945429943649932714,-0.1522841974461120184703,-1.0886404519839611992893,\ +0.8661426586684568551533,0.0144669239838038730245,-0.2498600121525025030689,\ +0.2258303913936256790418,-0.0996627600161344717744,0.5798388843647412915772,\ +0.4402912178536843579302,-0.0821496253311937152386,1.1995498265712831731378,\ +0.1037875988793510867447,0.1808411497687466285011,0.9003994950861190504909,\ +0.8693703906397208802659,0.3871229651004495231348,0.5084262016718109622460,\ +-0.3127921352240150554280,0.4284515458646944163768,0.1566612259199449408431,\ +0.8425254932446538669311,-0.8675086878856705929763,0.3679908151081396905369,\ +0.0059690185652748976169,-0.4818927853047598741654,0.3475368987720111602080,\ +-0.2928677403656957944911,-0.21281918945471237081,-0.0615315656203920743894,\ +-0.3828854358877186170318,-0.0395445045895176927608,-0.2453056840726963727661,\ +-0.3319274210060903507191,0.2716611153754885932265,0.3885772436850290501020,\ +0.4083161225294907326067,0.1256636073410991871757} + +#define ZRESULTI {-0.9150826723701824816359,-1.0038007968241344780580,0.7761168535216221853190,\ +-0.3822213477951738047622,0.4088073079437265500147,-0.9829838814461281382151,\ +-0.6207924428978939257462,-0.9924436424002488488227,0.3107781745847606469368,\ +0.190823563908477877860,-0.9717930993017909191423,1.1362832817249874928223,\ +-1.0952400709881249252220,0.8906629459042527674484,-0.4031733379746096357366,\ +-0.8926214809458651311402,-0.2125955165236021182640,-1.1626545105534673574255,\ +1.4098114180999468114663,0.6875898477221956683891,-0.9827065462915589577619,\ +1.0122682558571856059615,0.7403338169936454216113,0.3329978318477040399870,\ +-0.2487126175192662380642,0.9535461622187894059621,0.4086259224331897366156,\ +0.3454903551399998162807,-1.4480476267508943788442,-0.0795552773231696652712,\ +-1.5699867995861691571946,0.9329922799220887741356,-0.7134073946597112581003,\ +-0.3357762973784728099957,-0.2527252112264842809353,-0.0962463379406888058787,\ +0.7882465889811950399135,-1.2456800812145352175264,0.9674854545265952898703,\ +-1.1957951138140576752278,-1.0308375326751320066876,-0.5464592420922904647540,\ +-1.3032325007401501792970,1.1035601617683621356036,-0.6554945586705149818130,\ +0.8103435172856551238496,-0.8103372317467707475203,-0.2385573277010208381732,\ +1.1587938021757215878438,0.3435431890072572769235,1.279788873802896409515,\ +-1.3915550484745486947702,-1.143175630086853633571,-1.3493948361964505089361,\ +1.180878018812092644652,1.4994549779312595916281,0.3471363780379303487500,\ +-0.5114436565324694816681,0.922077454999635448551,0.5359370502466848096290,\ +-0.9575622722618749582679,0.9840232928412098178939,-0.7866361736794498238368,\ +0.3275153905103054818859,0.6621644080795368036974,0.6911787537867797315272,\ +0.5555203262090003812901,-0.7845741854114917090968,0.0910458923193785268912,\ +-1.367532424689007264362,0.8821163892946874973688,-0.8805618815721650838313,\ +0.0615381817744835926676,-1.5581379012861951149915,-1.3216226160366340014463,\ +-1.1059140418930615279436,-0.9879008462145800750775,0.986169123983388073995,\ +0.2146596902165759102044,0.6986026791593697993221,0.3134566221055383739014,\ +-0.7342575229927524871343,-0.1797145584041555665955,-0.8413107892059722425770,\ +-1.019619130948550722593,0.0308925093685123823561,-0.0465149720271331584831,\ +-0.7628135267341744629732,-0.5063811875785856342347,0.8689285269800102184945,\ +-0.5424489267017504889878,1.5149231207825908374076,-0.7635699257253423244407,\ +-0.9835608360649982229162,-0.7651335213236122312352,-1.3047698554262849857110,\ +-0.9383103802342007693227,-0.1974540431056293898759,-0.8100733516290339331078,\ +-0.9439058311312691351702,-0.1288637100697393178539,0.2871927052822376702501,\ +0.1283857487876574610119,-0.9893521517129132414325,-1.4229736910621084700068,\ +-1.278268082403663186142,0.88910168768678732309,-1.1784373117164359534570,\ +1.03935358865908744619,-0.1470722349218777647017,0.6828818013490814964328,\ +1.1635383473949738597497,0.0888393991592487247688,0.1483135488190464867930,\ +0.4446342289575472839225,-1.055940453660143329984,-0.6913288042725108661912,\ +-0.9407243087808065951094,-1.4053508981321376491991,0.2342864098211708545616,\ +0.4844410101414913238926,0.8475776035888460402390,-0.6960123633858344982528,\ +-1.3016421578221382127083,0.8519589639880413844963,0.7342440505866469901974,\ +0.6668635124458689444893,-1.2591545397069716649696,0.535024814500131951078,\ +1.30226369708141054282,1.1661057476987222170095,0.2373787574293542146364,\ +-0.9309471081116736934646,-0.4736579850459717855315,1.5236251088004300058287,\ +-1.171065543003733777638,1.2334327135159162125433,-1.153213069447322158823,\ +0.0728510737378383066432,0.4639741641063248600574,-0.9996734202650466860618,\ +-1.3518108187607991155232,-1.4723273061328936428538,0.8933558949405833171653,\ +-0.0093018535376701225181,-1.0826576750905823054438,1.2404141733855511553486,\ +-1.3465428092378513014182,0.8747309046321107839361,0.9253397074562169644096,\ +0.0400381835355557713640,-0.7765785126027255902414,-1.0546807717631738743336,\ +0.0838092326986521196641,-0.0189446011407611511479,0.9396543988269212555053,\ +0.7141040044798073749277,0.7596541492574908627233,0.4957818734457210552158,\ +-1.5271090619693206136276,-1.1987057982776780917789,0.6860846415801318265437,\ +1.0836815939774062655943,0.0257348439490480244973,-0.8966457616590515211641,\ +0.7629454929184202871539,0.8326995831057554253718,0.6358947917453465770166,\ +1.122174794910343109677,0.9210086183100237855470,-0.9179542949015334629692,\ +0.4753128844824887067055,-0.6057418122474197419436,1.0912054352763760345368,\ +-0.7811598998629154522177,-0.8252118132068452238670,-0.8003932093064218822320,\ +1.040963230413896711823,1.2239764586679500180111,0.1191234084420016575701,\ +1.064003892301497833373,-0.3509788166940612241795,-1.1278108079499422622405,\ +1.1420720075136889803957,-1.0231852297083139369249,-0.1916370368791805167685,\ +-0.941129540386991148004,-0.4709650954727132576849,1.2604683484747309929475,\ +0.6665567013842946808566,0.9183588395793375047660,-1.0371195264398431756803,\ +-1.276620042706810842503,1.1799805845600985776400,1.255793767839696428723,\ +0.6354974793467924598644,-0.6865980682751140484754,0.5939555774818401356896,\ +-1.3024651432778990844952,1.197724373266410013983} + +#define RESULT {-1.4744610660983759053977,-3.2795029213225106445861,0.2422041646840577544531,\ +-0.5752297863073998485106,0.7121630945985538696519,0.4243803995861772371256,\ +-0.1906833812311178877330,0.3372689843733094883227,0.5416475837340712917722,\ +-0.5861506043378337249550,-0.2077349615310257191503,-0.8651650049502660477785,\ +-1.0241615832881652004005,-0.6504743749122398055462,-0.5519965631116492410513,\ +-0.4691302795139216663678,0.4584432136447526562328,0.9076183700076346783092,\ +0.9185087029260963209509,0.1102422571172131521289,-0.0648124440153749203919,\ +0.0281882007066550886731,0.1358484485857832935185,2.1004370090239423696232,\ +1.0924991774831627200371,-0.8060125587957032156083,1.0172227264061333151801,\ +1.736042493622687921118,-0.1863533018119427342452,-0.7549561185313359290561,\ +-0.4614170985204111286038,0.3046041145449288611857,-1.8166306469319770666715,\ +-0.9326970536559181512715,3.1325332888309622703105,-1.3792397781139973389486,\ +-1.5415589891296013203004,-0.0171150886014554831638,-0.6712634278717346525411,\ +0.1296776288627018158817,0.7449048409492748934468,-0.8355728364335629487769,\ +1.0237167786809893144095,-0.4002250855702985665729,0.5275261647661907415952,\ +-0.6365188485604326151801,0.593818237113303393215,-1.1086074290970830968917,\ +0.5559215037224033428842,-1.4188800488983950298660,-0.2030109524350925953584,\ +-1.2109116806527058241016,-0.618648185057067423465,-0.4406726279385401179312,\ +0.0807360417981298622569,1.3710194541092590725384,0.0358784527834248925804,\ +-1.041372191940861169357,0.1478800901804916689830,1.1035975394582797637355,\ +1.8759258138597765253053,0.2629805384285096581110,0.6430289187352878910175,\ +-0.5660273762902281458054,-1.5862221930864266461469,0.1695819872689824647782,\ +1.7267400811821158601589,0.8547625432037965209631,0.5402035003963170378682,\ +1.4525009288261496731565,0.5539201036322172200244,-0.1844324167806210001963,\ +-0.8089386385243267918455,0.2955667016509896383170,0.0313028129649670083801,\ +0.7108684384800065814147,-1.0383547009634652713572,1.4799479994581337116699,\ +0.0442526991314810200229,0.6878256510027744852209,-0.8434557413354200061661,\ +-1.1364652701643074284021,-0.1306969520152806707447,0.6762452782098172798797,\ +1.005717225984443130571,-1.5273278613167085016045,1.2461250150575873263392,\ +-0.4763639926970618110325,-1.0549712063383256399618,1.5370414589157994633695,\ +-2.6233309837037732670240,0.5329709825316656379712,0.0656342963912304455665,\ +-0.3044404175419783142864,0.7166384348283165728333,-0.4277478080499193535680,\ +0.6675457063378462674308,-0.6224892627320329774321,-0.2853073726746037097612,\ +0.4474264519637772830052,-0.5733611255013777441292,-0.8489115589330021860448,\ +1.4767492874056193929988,0.4675865941091252309114,0.7215105644264150352996,\ +-0.2485372004835029458025,0.9533893539015392271097,0.9949139163386880868600,\ +-0.2888754177942080558772,0.0572963634231402757502,-0.3080752338091528041986,\ +0.3183705746036424866219,-1.7375264548714035583998,-0.5142166878802835183748,\ +0.4672787235144033601841,-1.2044507032201230423141,-0.5343152701155061690130,\ +-0.6759512002250491757849,-0.3426510354825004212032,0.7655602779397917556636,\ +1.3065460037453791031226,-0.1368747459554155443406,1.4390524672743967293798,\ +-0.4067781526762131449892,-1.4774318344439005823432,-0.8024889348769219665769,\ +1.1393982155849557980076,-0.9552396245178285116850,-0.9598461538853348962164,\ +-0.8974087416560057040016,1.5281783215878395054688,0.7019410287263873060581,\ +0.6105122611902852325372,-0.8280825291376695540535,-0.2271580885894484980181,\ +-0.0995012215536074662303,-2.6596162554083884188572,-0.9212932842045244985485,\ +-0.6502044836894653734305,0.6158791818865629874580,-0.2693325220287110521866,\ +-0.5507689268125864900938,-0.6719415444836209783119,-0.9911235054617995032800,\ +-0.4076140317144636981972,-0.0225238830066269123120,-1.8597701914697917224828,\ +0.7233360518064337885136,1.0977027535066357089022,-0.1558800560054872108573,\ +1.0623189198966227486665,-0.8575163748144335462698,-0.463854325361329367094,\ +0.7064828873383774965333,0.2713587745389601235679,-0.3287316374977890531817,\ +-1.6421667900158274377986,-0.8609439745036365776443,0.0106829139117793642938,\ +1.092393189014539744974,1.9620237692362385573119,0.8200147353723576948425,\ +0.0691827011392311119753,-0.6229915735462322468052,-0.2657062181808059753152,\ +0.8160024961656430209089,-0.4894047987117864928486,0.8587006143920951073412,\ +1.1051698569402153005115,-0.2701243583599451381083,-1.1113900272171266525589,\ +0.2908920738530955119039,0.1172101729688146409813,3.2706795664298211612220,\ +0.4518615589828762768576,0.7020915980292293800957,-0.8787256719819279693340,\ +-0.9538277279422371357498,-0.7330177387440419689568,-0.0441506837064596646680,\ +-0.8308242272476199508091,0.2915116980546684222197,0.2550214973106580407247,\ +0.1576133484131722883870,-2.8460534045826286764225,-0.768075815339287371053,\ +-0.4181165627609883528315,-0.5448685867460187903788,0.3158443034854154785052,\ +0.0051109317177532613205,0.3613121056785816853640,0.5080216801947243787652,\ +-0.5233928099098102970643,-0.5953313420807592182271,0.5535880446904775098460,\ +1.842839548963430384987,-0.6411995769353845409100,-0.2922619465382557679689,\ +0.1441406428551997020993,1.6252679142635939602002} + + +void datanhsTest() { + double in[]= SOURCE; + double res[]= RESULT; + double out; + int i=0; + + for (i=0;i<200;i++){ + out=datanhs(in[i]); + if (disnans(out)) assert(1); + else { + assert( ( (fabs(out-res[i])) / (fabs(out)) ) <3e-15); + } + } +} + +void zatanhsTest() { + double inR[]=ZSOURCER; + double inI[]=ZSOURCEI; + double resR[]=ZRESULTR; + double resI[]=ZRESULTI; + doubleComplex in, out; + int i=0; + + for (i=0;i<200;i++){ + in=DoubleComplex(inR[i],inI[i]); + out=zatanhs(in); + assert( ( (fabs(zreals(out)-resR[i])) / (fabs(zreals(out))) ) <3e-15); + assert( ( (fabs(zimags(out)-resI[i])) / (fabs(zimags(out))) ) <3e-15); + } + out=zatanhs((DoubleComplex(2.0/10.0,11.0/10.0))); + assert( ( (fabs(zreals(out)-0.0898435002269743487879)) / (fabs(zreals(out))) ) <3e-15); + assert( ( (fabs(zimags(out)-0.8419736541926906570055)) / (fabs(zimags(out))) ) <1e-15); + +} + +void datanhaTest(void) { + double in[]= SOURCE; + double res[]=RESULT; + double out[200]; + int i=0; + + datanha(in,200,out); + for (i=0;i<200;i++){ + if (disnans(out[i])) assert(1); + else assert( ( (fabs(out[i]-res[i])) / (fabs(out[i])) ) <3e-15); + } +} + +void zatanhaTest(void) { + double inR[]=ZSOURCER; + double inI[]=ZSOURCEI; + double resR[]=ZRESULTR; + double resI[]=ZRESULTI; + doubleComplex in[200], out[200]; + int i=0; + + for (i=0;i<200;i++){ + in[i]=DoubleComplex(inR[i],inI[i]); + } + zatanha(in,200,out); + for (i=0;i<200;i++){ + assert( ( (fabs(zreals(out[i])-resR[i])) / (fabs(zreals(out[i]))) ) <3e-15); + assert( ( (fabs(zimags(out[i])-resI[i])) / (fabs(zimags(out[i]))) ) <3e-15); + } +} + + + +int testAtanh() { + printf("\n>>>> Double Hyperbolic Arctangeant Tests\n"); + datanhsTest(); + zatanhsTest(); + datanhaTest(); + zatanhaTest(); + return 0; +} + +int main() { + assert(testAtanh() == 0); + return 0; +} diff --git a/2.3-1/src/c/elementaryFunctions/atanh/testFloatAtanh.c b/2.3-1/src/c/elementaryFunctions/atanh/testFloatAtanh.c new file mode 100644 index 00000000..3addb959 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/atanh/testFloatAtanh.c @@ -0,0 +1,600 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Arnaud TORSET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "testAtanh.h" +#include "isnan.h" + + +#define SOURCE {-1.1105866164187250255679f,-1.0028386111936116176224f,0.2375765916352992890292f,\ +-1.9260782734203465427214f,1.6339029335662884623304f,0.4006142544568777608127f,\ +-0.1884054141613809019162f,0.3250370808239260722594f,0.4942341130822986983162f,\ +-0.5271214361991748420522f,-0.2047974713791562706433f,-0.6989092545405519718571f,\ +-0.7715561486980614391840f,-0.571989225566208348006f,-0.5020150984917894909643f,\ +-2.2857334641783242368263f,2.332010485133160226923f,1.3889136138977253853710f,\ +1.3789467621494246873937f,0.1097978131481585906126f,-0.0647218447158609960779f,\ +0.0281807372021152316433f,0.1350188864488831574917f,1.0304207301469319180143f,\ +1.2534650597477734468299f,-0.6673847151191693027883f,0.7687329161404042876526f,\ +0.9397659613234893294376f,-0.1842256540708016310237f,-0.6380964000421092130466f,\ +-0.4312384814994691395462f,0.2955203345655439961526f,-0.9485014036835781592316f,\ +-0.7318488744075331009498f,1.0038104194654713374746f,-1.1353561092070965088396f,\ +-1.0960321876977914268281f,-0.0171134176442899188508f,-0.5858103496627128370378f,\ +0.1289555865425900393895f,1.5820296359767425098397f,-1.4631497998103890623156f,\ +1.2963845181574007447978f,-0.3801415377268548834166f,2.06830447887869084411f,\ +-0.5625246161593648874799f,0.5326361661049561213588f,-1.2444472935191353002438f,\ +1.98041335297601972520f,-1.1243976757801756871658f,-0.2002672475586080858001f,\ +-0.8369527550627472445299f,-0.5501861155367867572963f,-0.4142018271607930679501f,\ +0.0805610771656549429220f,1.1377543872793591805959f,0.0358630657002049213489f,\ +-0.7784293535508046701921f,0.1468114639619267913773f,0.8017875463824070125796f,\ +0.9541283226908341408290f,0.2570812112878080313294f,0.5669583797452802942374f,\ +-0.5124357940757415796895f,-1.0874670623228419596984f,0.1679748561443953069894f,\ +1.0653376770396050243761f,1.4418584607257751706300f,0.4931419934636970814346f,\ +0.8961862868877283894165f,1.9862847823434610639026f,-0.1823693074986679762972f,\ +-1.4947586037652456081304f,0.2872503175279246256935f,0.0312925927822978733328f,\ +0.6112211190486463996407f,-0.7772375221664085120921f,1.1093137211625221372202f,\ +0.0442238350338455751820f,1.6762117307909378816078f,-0.6876351157010545112058f,\ +-1.22967891951066876643f,-0.1299578267276684795384f,1.6975824415216096419101f,\ +1.308926550069704708434f,-1.098941911191897657929f,0.8471934585094353931112f,\ +-0.4433269337102597185130f,-0.7837315591442685080992f,0.9116218827858540985076f,\ +-1.0105858633572861737804f,0.4876488481804939212338f,0.0655402107055627763943f,\ +-0.2953709263667435580558f,0.6148227532021686148056f,-0.4034374023520052587877f,\ +0.5833631341612930398810f,-0.5528588193199002187583f,-0.2778100246524093375200f,\ +2.382193101614083818873f,-0.5178234271111435971235f,-0.6905004153871671102038f,\ +1.1100538942612350190586f,0.4362472672541874985086f,1.6185312525007526929244f,\ +-0.2435431173062182208522f,1.3489566990051822248375f,0.7594498437474611618470f,\ +-0.2810994191894010674204f,0.0572337467470783664569f,-0.2986850540752242211262f,\ +0.3080328437634018978741f,-1.063898707867213300204f,-0.4732241206771939379117f,\ +0.4359979545522715271844f,-1.1975945596394972358922f,-2.0463590761656762495591f,\ +-1.6981361097863292286547f,-0.3298420709745075729558f,0.6443404115154376388119f,\ +1.1582132747946760620295f,-0.1360263343598554774960f,1.1191856336437415730956f,\ +-0.3857336264473540388131f,-0.9009857125105711350699f,-0.6654259233895634118028f,\ +0.8142113557520732625150f,-0.7421459588282103281287f,-0.7442082361451903826932f,\ +-0.7150337980929084569226f,0.9101123379002086233314f,1.6512593716591941195304f,\ +0.5444875921569681809231f,-1.4717893200735545633506f,-0.2233299046672752585785f,\ +-0.0991741463892287511417f,-0.9902546973703609811679f,-1.376446086882661790085f,\ +-1.7488399727971684072259f,1.8239775508132596293365f,-0.2630036367047015599674f,\ +-0.5010962842642737724574f,-0.5862555775092695986572f,-1.3195380346103915414346f,\ +-0.3864449051827200110054f,-0.0225200748008141174439f,-0.9526576040369814091235f,\ +1.6155833271255157779223f,1.2505121957121025921822f,-0.1546296525315759562424f,\ +0.7865497689541539605429f,-0.6949758322935190024694f,-0.4332203785337710999492f,\ +0.6084666055394067907258f,0.2648887243137521552150f,-0.3173806367287662633103f,\ +-0.9277748648924035723695f,-0.6967437125955047161341f,0.0106825075357279020843f,\ +0.7977499585474604471003f,0.9612439572909651230859f,0.6750778949370804804531f,\ +0.0690725368983376858401f,-1.8076399886892613455558f,-0.2596249600654364497743f,\ +0.6728882350569161951981f,-0.4537439012069451327314f,0.695587590556807633391f,\ +1.2463414096089968641223f,-0.2637405473740589423315f,-0.8045531944567444471161f,\ +0.2829556705817293793537f,0.1166763530431780965246f,1.0028892209395869894450f,\ +0.4234280063942446603598f,0.6056937191431178701961f,-1.4168714241399820163991f,\ +-0.7415110426654055730822f,-1.6002352979874459038001f,-0.0441220186662526561716f,\ +-0.6809183287313597121582f,0.2835255852521558761481f,0.2496331067144885174081f,\ +0.1563210463282909690186f,-1.006767784835231216434f,-0.6458091780006059989816f,\ +-2.529451976430145521135f,-0.4966644528621277365765f,0.3057445000796202294602f,\ +0.0051108872162743653259f,0.3463692486733729314352f,0.4684023556979828861735f,\ +-2.0819698824296395400779f,-1.8736446723365958177965f,0.5032045449115828406050f,\ +1.0514506638411960093293f,-0.5657157774822674234372f,-0.2842153768346438180714f,\ +0.1431506224954579853392f,1.0806316268163596028273f} + +#define RESULT {-1.4744610660983759053977f,-3.2795029213225106445861f,0.2422041646840577544531f,\ +-0.5752297863073998485106f,0.7121630945985538696519f,0.4243803995861772371256f,\ +-0.1906833812311178877330f,0.3372689843733094883227f,0.5416475837340712917722f,\ +-0.5861506043378337249550f,-0.2077349615310257191503f,-0.8651650049502660477785f,\ +-1.0241615832881652004005f,-0.6504743749122398055462f,-0.5519965631116492410513f,\ +-0.4691302795139216663678f,0.4584432136447526562328f,0.9076183700076346783092f,\ +0.9185087029260963209509f,0.1102422571172131521289f,-0.0648124440153749203919f,\ +0.0281882007066550886731f,0.1358484485857832935185f,2.1004370090239423696232f,\ +1.0924991774831627200371f,-0.8060125587957032156083f,1.0172227264061333151801f,\ +1.736042493622687921118f,-0.1863533018119427342452f,-0.7549561185313359290561f,\ +-0.4614170985204111286038f,0.3046041145449288611857f,-1.8166306469319770666715f,\ +-0.9326970536559181512715f,3.1325332888309622703105f,-1.3792397781139973389486f,\ +-1.5415589891296013203004f,-0.0171150886014554831638f,-0.6712634278717346525411f,\ +0.1296776288627018158817f,0.7449048409492748934468f,-0.8355728364335629487769f,\ +1.0237167786809893144095f,-0.4002250855702985665729f,0.5275261647661907415952f,\ +-0.6365188485604326151801f,0.593818237113303393215f,-1.1086074290970830968917f,\ +0.5559215037224033428842f,-1.4188800488983950298660f,-0.2030109524350925953584f,\ +-1.2109116806527058241016f,-0.618648185057067423465f,-0.4406726279385401179312f,\ +0.0807360417981298622569f,1.3710194541092590725384f,0.0358784527834248925804f,\ +-1.041372191940861169357f,0.1478800901804916689830f,1.1035975394582797637355f,\ +1.8759258138597765253053f,0.2629805384285096581110f,0.6430289187352878910175f,\ +-0.5660273762902281458054f,-1.5862221930864266461469f,0.1695819872689824647782f,\ +1.7267400811821158601589f,0.8547625432037965209631f,0.5402035003963170378682f,\ +1.4525009288261496731565f,0.5539201036322172200244f,-0.1844324167806210001963f,\ +-0.8089386385243267918455f,0.2955667016509896383170f,0.0313028129649670083801f,\ +0.7108684384800065814147f,-1.0383547009634652713572f,1.4799479994581337116699f,\ +0.0442526991314810200229f,0.6878256510027744852209f,-0.8434557413354200061661f,\ +-1.1364652701643074284021f,-0.1306969520152806707447f,0.6762452782098172798797f,\ +1.005717225984443130571f,-1.5273278613167085016045f,1.2461250150575873263392f,\ +-0.4763639926970618110325f,-1.0549712063383256399618f,1.5370414589157994633695f,\ +-2.6233309837037732670240f,0.5329709825316656379712f,0.0656342963912304455665f,\ +-0.3044404175419783142864f,0.7166384348283165728333f,-0.4277478080499193535680f,\ +0.6675457063378462674308f,-0.6224892627320329774321f,-0.2853073726746037097612f,\ +0.4474264519637772830052f,-0.5733611255013777441292f,-0.8489115589330021860448f,\ +1.4767492874056193929988f,0.4675865941091252309114f,0.7215105644264150352996f,\ +-0.2485372004835029458025f,0.9533893539015392271097f,0.9949139163386880868600f,\ +-0.2888754177942080558772f,0.0572963634231402757502f,-0.3080752338091528041986f,\ +0.3183705746036424866219f,-1.7375264548714035583998f,-0.5142166878802835183748f,\ +0.4672787235144033601841f,-1.2044507032201230423141f,-0.5343152701155061690130f,\ +-0.6759512002250491757849f,-0.3426510354825004212032f,0.7655602779397917556636f,\ +1.3065460037453791031226f,-0.1368747459554155443406f,1.4390524672743967293798f,\ +-0.4067781526762131449892f,-1.4774318344439005823432f,-0.8024889348769219665769f,\ +1.1393982155849557980076f,-0.9552396245178285116850f,-0.9598461538853348962164f,\ +-0.8974087416560057040016f,1.5281783215878395054688f,0.7019410287263873060581f,\ +0.6105122611902852325372f,-0.8280825291376695540535f,-0.2271580885894484980181f,\ +-0.0995012215536074662303f,-2.6596162554083884188572f,-0.9212932842045244985485f,\ +-0.6502044836894653734305f,0.6158791818865629874580f,-0.2693325220287110521866f,\ +-0.5507689268125864900938f,-0.6719415444836209783119f,-0.9911235054617995032800f,\ +-0.4076140317144636981972f,-0.0225238830066269123120f,-1.8597701914697917224828f,\ +0.7233360518064337885136f,1.0977027535066357089022f,-0.1558800560054872108573f,\ +1.0623189198966227486665f,-0.8575163748144335462698f,-0.463854325361329367094f,\ +0.7064828873383774965333f,0.2713587745389601235679f,-0.3287316374977890531817f,\ +-1.6421667900158274377986f,-0.8609439745036365776443f,0.0106829139117793642938f,\ +1.092393189014539744974f,1.9620237692362385573119f,0.8200147353723576948425f,\ +0.0691827011392311119753f,-0.6229915735462322468052f,-0.2657062181808059753152f,\ +0.8160024961656430209089f,-0.4894047987117864928486f,0.8587006143920951073412f,\ +1.1051698569402153005115f,-0.2701243583599451381083f,-1.1113900272171266525589f,\ +0.2908920738530955119039f,0.1172101729688146409813f,3.2706795664298211612220f,\ +0.4518615589828762768576f,0.7020915980292293800957f,-0.8787256719819279693340f,\ +-0.9538277279422371357498f,-0.7330177387440419689568f,-0.0441506837064596646680f,\ +-0.8308242272476199508091f,0.2915116980546684222197f,0.2550214973106580407247f,\ +0.1576133484131722883870f,-2.8460534045826286764225f,-0.768075815339287371053f,\ +-0.4181165627609883528315f,-0.5448685867460187903788f,0.3158443034854154785052f,\ +0.0051109317177532613205f,0.3613121056785816853640f,0.5080216801947243787652f,\ +-0.5233928099098102970643f,-0.5953313420807592182271f,0.5535880446904775098460f,\ +1.842839548963430384987f,-0.6411995769353845409100f,-0.2922619465382557679689f,\ +0.1441406428551997020993f,1.6252679142635939602002f} +/* +#define RESULT2 {-1.4744610660983759053977+%i*1.5707963267948965579990f,\ +-3.2795029213225106445861+%i*1.5707963267948965579990f,0.2422041646840577544531f,\ +-0.5752297863073998485106+%i*1.5707963267948965579990f,\ +0.7121630945985538696519-%i*1.5707963267948965579990f,0.4243803995861772371256f,\ +-0.1906833812311178877330f,0.3372689843733094883227f,0.5416475837340712917722f,\ +-0.5861506043378337249550f,-0.2077349615310257191503f,-0.8651650049502660477785f,\ +-1.0241615832881652004005f,-0.6504743749122398055462f,-0.5519965631116492410513f,\ +-0.4691302795139216663678+%i*1.5707963267948965579990f,\ +0.4584432136447526562328-%i*1.5707963267948965579990f,\ +0.9076183700076346783092-%i*1.5707963267948965579990f,\ +0.9185087029260963209509-%i*1.5707963267948965579990f,0.1102422571172131521289f,\ +-0.0648124440153749203919f,0.0281882007066550886731f,0.1358484485857832935185f,\ +2.1004370090239423696232-%i*1.5707963267948965579990f,\ +1.0924991774831627200371-%i*1.5707963267948965579990f,-0.8060125587957032156083f,\ +1.0172227264061333151801f,1.736042493622687921118f,-0.1863533018119427342452f,\ +-0.7549561185313359290561f,-0.4614170985204111286038f,0.3046041145449288611857f,\ +-1.8166306469319770666715f,-0.9326970536559181512715f,\ +3.1325332888309622703105-%i*1.5707963267948965579990f,\ +-1.3792397781139973389486+%i*1.5707963267948965579990f,\ +-1.5415589891296013203004+%i*1.5707963267948965579990f,-0.0171150886014554831638f,\ +-0.6712634278717346525411f,0.1296776288627018158817f,\ +0.7449048409492748934468-%i*1.5707963267948965579990f,\ +-0.8355728364335629487769+%i*1.5707963267948965579990f,\ +1.0237167786809893144095-%i*1.5707963267948965579990f,-0.4002250855702985665729f,\ +0.5275261647661907415952-%i*1.5707963267948965579990f,-0.6365188485604326151801f,\ +0.593818237113303393215f,-1.1086074290970830968917+%i*1.5707963267948965579990f,\ +0.5559215037224033428842-%i*1.5707963267948965579990f,\ +-1.4188800488983950298660+%i*1.5707963267948965579990f,-0.2030109524350925953584f,\ +-1.2109116806527058241016f,-0.618648185057067423465f,-0.4406726279385401179312f,\ +0.0807360417981298622569f,1.3710194541092590725384-%i*1.5707963267948965579990f,\ +0.0358784527834248925804f,-1.041372191940861169357f,0.1478800901804916689830f,\ +1.1035975394582797637355f,1.8759258138597765253053f,0.2629805384285096581110f,\ +0.6430289187352878910175f,-0.5660273762902281458054f,\ +-1.5862221930864266461469+%i*1.5707963267948965579990f,0.1695819872689824647782f,\ +1.7267400811821158601589-%i*1.5707963267948965579990f,\ +0.8547625432037965209631-%i*1.5707963267948965579990f,0.5402035003963170378682f,\ +1.4525009288261496731565f,0.5539201036322172200244-%i*1.5707963267948965579990f,\ +-0.1844324167806210001963f,-0.8089386385243267918455+%i*1.5707963267948965579990f,\ +0.2955667016509896383170f,0.0313028129649670083801f,0.7108684384800065814147f,\ +-1.0383547009634652713572f,1.4799479994581337116699-%i*1.5707963267948965579990f,\ +0.0442526991314810200229f,0.6878256510027744852209-%i*1.5707963267948965579990f,\ +-0.8434557413354200061661f,-1.1364652701643074284021+%i*1.5707963267948965579990f,\ +-0.1306969520152806707447f,0.6762452782098172798797-%i*1.5707963267948965579990f,\ +1.005717225984443130571-%i*1.5707963267948965579990f,\ +-1.5273278613167085016045+%i*1.5707963267948965579990f,1.2461250150575873263392f,\ +-0.4763639926970618110325f,-1.0549712063383256399618f,1.5370414589157994633695f,\ +-2.6233309837037732670240+%i*1.5707963267948965579990f,0.5329709825316656379712f,\ +0.0656342963912304455665f,-0.3044404175419783142864f,0.7166384348283165728333f,\ +-0.4277478080499193535680f,0.6675457063378462674308f,-0.6224892627320329774321f,\ +-0.2853073726746037097612f,0.4474264519637772830052-%i*1.5707963267948965579990f,\ +-0.5733611255013777441292f,-0.8489115589330021860448f,\ +1.4767492874056193929988-%i*1.5707963267948965579990f,0.4675865941091252309114f,\ +0.7215105644264150352996-%i*1.5707963267948965579990f,-0.2485372004835029458025f,\ +0.9533893539015392271097-%i*1.5707963267948965579990f,0.9949139163386880868600f,\ +-0.2888754177942080558772f,0.0572963634231402757502f,-0.3080752338091528041986f,\ +0.3183705746036424866219f,-1.7375264548714035583998+%i*1.5707963267948965579990f,\ +-0.5142166878802835183748f,0.4672787235144033601841f,\ +-1.2044507032201230423141+%i*1.5707963267948965579990f,\ +-0.5343152701155061690130+%i*1.5707963267948965579990f,\ +-0.6759512002250491757849+%i*1.5707963267948965579990f,-0.3426510354825004212032f,\ +0.7655602779397917556636f,1.3065460037453791031226-%i*1.5707963267948965579990f,\ +-0.1368747459554155443406f,1.4390524672743967293798-%i*1.5707963267948965579990f,\ +-0.4067781526762131449892f,-1.4774318344439005823432f,-0.8024889348769219665769f,\ +1.1393982155849557980076f,-0.9552396245178285116850f,-0.9598461538853348962164f,\ +-0.8974087416560057040016f,1.5281783215878395054688f,\ +0.7019410287263873060581-%i*1.5707963267948965579990f,0.6105122611902852325372f,\ +-0.8280825291376695540535+%i*1.5707963267948965579990f,-0.2271580885894484980181f,\ +-0.0995012215536074662303f,-2.6596162554083884188572f,\ +-0.9212932842045244985485+%i*1.5707963267948965579990f,\ +-0.6502044836894653734305+%i*1.5707963267948965579990f,\ +0.6158791818865629874580-%i*1.5707963267948965579990f,-0.2693325220287110521866f,\ +-0.5507689268125864900938f,-0.6719415444836209783119f,\ +-0.9911235054617995032800+%i*1.5707963267948965579990f,-0.4076140317144636981972f,\ +-0.0225238830066269123120f,-1.8597701914697917224828f,\ +0.7233360518064337885136-%i*1.5707963267948965579990f,\ +1.0977027535066357089022-%i*1.5707963267948965579990f,-0.1558800560054872108573f,\ +1.0623189198966227486665f,-0.8575163748144335462698f,-0.463854325361329367094f,\ +0.7064828873383774965333f,0.2713587745389601235679f,-0.3287316374977890531817f,\ +-1.6421667900158274377986f,-0.8609439745036365776443f,0.0106829139117793642938f,\ +1.092393189014539744974f,1.9620237692362385573119f,0.8200147353723576948425f,\ +0.0691827011392311119753f,-0.6229915735462322468052+%i*1.5707963267948965579990f,\ +-0.2657062181808059753152f,0.8160024961656430209089f,-0.4894047987117864928486f,\ +0.8587006143920951073412f,1.1051698569402153005115-%i*1.5707963267948965579990f,\ +-0.2701243583599451381083f,-1.1113900272171266525589f,0.2908920738530955119039f,\ +0.1172101729688146409813f,3.2706795664298211612220-%i*1.5707963267948965579990f,\ +0.4518615589828762768576f,0.7020915980292293800957f,\ +-0.8787256719819279693340+%i*1.5707963267948965579990f,-0.9538277279422371357498f,\ +-0.7330177387440419689568+%i*1.5707963267948965579990f,-0.0441506837064596646680f,\ +-0.8308242272476199508091f,0.2915116980546684222197f,0.2550214973106580407247f,\ +0.1576133484131722883870f,-2.8460534045826286764225+%i*1.5707963267948965579990f,\ +-0.768075815339287371053f,-0.4181165627609883528315+%i*1.5707963267948965579990f,\ +-0.5448685867460187903788f,0.3158443034854154785052f,0.0051109317177532613205f,\ +0.3613121056785816853640f,0.5080216801947243787652f,\ +-0.5233928099098102970643+%i*1.5707963267948965579990f,\ +-0.5953313420807592182271+%i*1.5707963267948965579990f,0.5535880446904775098460f,\ +1.842839548963430384987-%i*1.5707963267948965579990f,-0.6411995769353845409100f,\ +-0.2922619465382557679689f,0.1441406428551997020993f,\ +1.6252679142635939602002-%i*1.5707963267948965579990f} +*/ +#define CSOURCER {0.1566312085376346807664f,-0.9832172164912469369824f,-0.4352704306190940952703f,\ +0.5411529581857100756892f,-0.4189678441885264503775f,-0.3123240835354778588417f,\ +-0.6429953452754243459211f,0.5746034575341304462270f,0.0583200256392587754184f,\ +-0.7281504683187327575666f,0.4564682359303286474095f,1.2276307555220513645367f,\ +1.0722151830463704236251f,-0.8694353593641974686790f,0.4560977429718384712487f,\ +0.922397585949679688078f,0.3447492619094876808994f,-1.2072516069836567442763f,\ +-3.0311848873460989217676f,-0.5227521113472203273531f,-0.9127256852426085531604f,\ +0.9702908997340189412029f,0.7984557906741573951592f,-0.374280495762714437991f,\ +0.2178224309624917087724f,-0.7621335705740988064605f,0.4017588191443041689688f,\ +0.0259981222714757570502f,-2.250132425948803138738f,0.5878367273362664624514f,\ +2.3809410297786541832465f,0.1486053165381447105364f,0.101236219868174881498f,\ +0.6421364318076420163450f,-0.6540329098904471560871f,-0.5416580949191436289425f,\ +0.9514918150544823260972f,-1.267340977798151469003f,-0.8455403103569121281424f,\ +-0.364558782701674466420f,-1.0697180418170626481356f,0.1606013529586497734503f,\ +-1.6656989490484364058176f,0.4667927145215887141383f,-0.0128825329067423742513f,\ +0.9947195275346620846335f,0.8275102004468978256213f,0.2927543106645062453985f,\ +-0.9280170868066852651879f,-0.3636959897126564866809f,1.4783506936052415170479f,\ +2.4281448731590140610592f,-0.0602106018714212570808f,1.541843889601811401491f,\ +1.341076792855444343999f,-1.9789304036759756133534f,-0.3294688652910273685137f,\ +0.622286327382227888450f,-0.6118557906779339417014f,0.7459354816620213934897f,\ +-0.4040802511755230974622f,0.6577039363065745325443f,-0.5486081684530353941298f,\ +0.3927975474240214537325f,0.7894975295935096060163f,-0.1452945797743281086678f,\ +0.1437495883505973681693f,0.4103084241265512188690f,0.1795141291570316322002f,\ +-2.0420270362087347137958f,-1.0136631446624102537157f,-0.6372521675576777733241f,\ +-0.2601528835939894701568f,1.1986221523039410907785f,1.601129898882974078589f,\ +-1.2343266797475058726974f,0.9483471983582205666607f,-0.0424058145973261885198f,\ +0.5150673339403005757120f,0.0937153808744289607002f,0.4638195050716256706558f,\ +0.2202932903531656105844f,-0.6924450714085558233890f,-0.6889026252552187257194f,\ +0.4927201161848878685490f,0.3688430529148965519859f,-0.1495056200185169992256f,\ +0.0956460878099940903230f,0.8967077311519383586713f,0.7486850824131056070243f,\ +-0.3635393959060023716390f,2.72178097931810514254f,0.8872833757746945160250f,\ +0.9893578306194498184212f,0.8262130885403843327808f,1.8679166202704664545564f,\ +0.5569566531470352410693f,-0.0576405625178402075681f,0.8001172842696224751791f,\ +0.4480121632350138050072f,-0.2882322764074837784243f,-0.2677211241656151097246f,\ +0.2862315832454170316801f,0.9463381000719524038800f,-1.574827516423719320215f,\ +1.7962971923614798885893f,0.9930237578825827915452f,1.17225507537484907594f,\ +-0.9161863233099263315040f,0.1421586828731320473196f,-0.1430347256308386882928f,\ +-0.4683233849545334614994f,-0.3180446316984328336552f,-0.0576576190062656410151f,\ +0.6249620545306199259628f,0.7539731616235149092020f,-0.1134181356790778527621f,\ +-0.3551074647649283821949f,-1.5743164879335251882253f,-0.3132427332940839193043f,\ +-0.5345549536487770314608f,-0.3108292305558989498948f,-0.0698678127822071615149f,\ +1.9098270701284520978191f,0.3087451523556873911325f,0.792464324566980904407f,\ +-0.7089070907362685636244f,-1.69657580301203281259f,0.2839165766617411379436f,\ +-1.9503478026750964424707f,-0.8383432843348773699788f,0.4243701560501659808544f,\ +1.0206422864827822127864f,0.1651260412410127109695f,-2.4565661716609770159891f,\ +1.3581676364949575308572f,1.5976518292284813682613f,1.038096252933477403602f,\ +-0.2179395863297476365616f,0.1906211564102877620286f,0.1220518503007956001571f,\ +1.7007780598076820410824f,2.3461749520518053735429f,-0.7583114756702955538969f,\ +0.1563580374722161325796f,0.9458374821601646109670f,1.106385383701591562655f,\ +1.857413924600636034867f,0.9819266230329063427362f,0.1010843883126317094279f,\ +-0.0394749928167329941497f,0.9565452494078602319050f,-1.164240263162510835571f,\ +-0.0360262254241734622418f,-0.4279483181417821913151f,0.0207154879461370518279f,\ +0.1331812668838084079415f,0.0637098112636336894044f,0.5563753726211196903861f,\ +2.170691821782472885616f,-1.4105863647114469383581f,-0.3956456917805734052607f,\ +-0.7536155387925271842420f,-0.1512156734265959479036f,-1.0252674376565367175829f,\ +0.9250804906985814479725f,0.0319417929504777348138f,-0.3662171854280546479110f,\ +0.9733260674698945846828f,-0.2668109355235854240895f,0.9653716053391865337119f,\ +0.5007936673782547032374f,-0.1208939822530236685161f,1.0971085072938426829836f,\ +0.2029604338428208087919f,0.3746473304704570073120f,0.9561076870030955632274f,\ +1.1282520720814495085449f,1.5637873924930061342309f,0.4739411474762828535567f,\ +-0.9908999627117486275196f,0.4483771591380850130015f,0.7638174840760570960541f,\ +1.21967084705659489785f,-1.1141855892005874117956f,0.3637931277318062761594f,\ +0.0172116174170295101187f,-0.5359859794230503737822f,1.7180258735531828140353f,\ +-0.4389711879238100133982f,-0.5289769194381308548003f,-0.2349363816328474963147f,\ +-1.770826942434098993928f,-0.2698746134406798669048f,-1.6219764795098883247704f,\ +-0.4683402918639187895167f,0.4233140865550635290049f,0.5072350201185169549234f,\ +1.846909249365268790299f,0.8538988411566506009365f} + +#define CSOURCEI {-1.2880264074010461250452f,-0.9681461673606511775247f,0.8819263929226937026584f,\ +-0.2968181427237222558269f,0.3676169132810200301797f,-1.4546278949302484662098f,\ +-0.4969724671301882223950f,-1.3684785326259825133377f,0.3201951876584711031981f,\ +0.0925515282972030062236f,-1.3629699188377910612502f,1.3008264376880041002238f,\ +-1.312881117519760332257f,0.7519787618494813141723f,-0.349314202941638340949f,\ +-0.6612113457421112672208f,-0.1912192548186895935114f,-0.2871763408135362682927f,\ +2.1040662039819300055399f,0.6770601919983177952034f,-0.9998765495359557275989f,\ +1.0320694267454630921321f,0.5184250597548623051836f,0.3020078279774962016f,\ +-0.2426203970909892593255f,1.085343122387009806573f,0.3728224888143483184422f,\ +0.3597109342835585477083f,-0.5464095547489105086925f,-0.0522892744113094345981f,\ +-0.0037796004128336437196f,1.3386616898503973516199f,-0.8603866811447716811401f,\ +-0.215138661778858181206f,-0.1519505658345833010170f,-0.0684049031594022166614f,\ +0.3134237083474871732314f,-0.2552970754123656815793f,1.0371924512876768975644f,\ +-2.4944520251764212837031f,-0.9105655292839007763916f,-0.5967335487543307115388f,\ +-0.6520109300715212219401f,1.891233309015407648701f,-0.7688305781614098721732f,\ +0.1640648747943601049037f,-0.613585069751534706306f,-0.2234197861121311190491f,\ +1.9233974415188206386063f,0.315204859780382373735f,0.4595542257467975510998f,\ +-1.1764564844019769207506f,-2.1928435621757311757563f,-0.3567337876240649907622f,\ +1.4844812942744205486179f,0.2127167501638982105572f,0.326665566953199926203f,\ +-0.3823116465408597508535f,1.1195697860125490841199f,0.3156195041989769412005f,\ +-1.3411228504687704443654f,1.2817926351994635147946f,-0.8385592799769060468051f,\ +0.2920629737538525949603f,0.4117329700106473477916f,0.8168979807640022183790f,\ +0.6114286447089312126479f,-0.9103003485572774833301f,0.0883797323534893930486f,\ +-0.8309636819350860736932f,0.300088746736916378577f,-0.9870316877320252091366f,\ +0.0574605523525985317779f,-0.0055294403676948468418f,-0.4910286442216560409690f,\ +-0.9282905300686704608282f,-0.9620222168730435674533f,1.5101979946106838248454f,\ +0.16215452036647093337f,0.8355679951054210130579f,0.2598273768449387843837f,\ +-0.8781794540671359339257f,-0.0960593767304002976726f,-0.8457942620552999501982f,\ +-1.5126206512504021262089f,0.0267016916333849170517f,-0.0455102979008666919114f,\ +-0.9512410833653791586428f,-0.1410038404270228529214f,0.8526701417894808621156f,\ +-0.5427383894147087550763f,0.3670995115141847953133f,-0.4196045805115825033660f,\ +-0.861511165291383607112f,-0.5242638386479363532544f,-1.0690056931583220567461f,\ +-1.204258995571379831091f,-0.1994216356488724417595f,-0.651264013076401249158f,\ +-1.2804046190990912013064f,-0.1189798590125256405603f,0.2757828726342566594276f,\ +0.1186787898486535430820f,-0.9717707229710241811915f,-0.2337132662497607982210f,\ +-1.2810105417899781965474f,0.4516508120864454189913f,-1.7941677742351858082515f,\ +1.2424962452829722003855f,-0.1452111265545129592525f,0.803374036348334819024f,\ +2.2359407014896999221776f,0.0801276770871145183062f,0.1489247936009177042394f,\ +0.3146211320275099643240f,-1.49119197842913098206f,-0.8212344459793755602206f,\ +-1.3094646972226284820096f,-0.2661055404338998897629f,0.2164009824597608044883f,\ +0.4021554472831923576770f,1.0836546525394512574536f,-0.8330897968467666503400f,\ +-1.2783354864784060023197f,1.0944391027576960695455f,0.5158321013729825210703f,\ +0.5039256424604841022585f,-1.1530018443600813515815f,0.5567649276400054025871f,\ +1.5507245891800580661624f,2.0511800424609365478545f,0.2003839203406024560561f,\ +-0.5188228347179002497569f,-0.5014579405716672599880f,0.2409475853154263991218f,\ +-1.2895515809257553918599f,1.3505164949531500706570f,-1.7662555890569775485233f,\ +0.0695313390316097817978f,0.4857809488385180229919f,-1.54949381746834280449f,\ +-0.5022279078645265348868f,-0.4715667339089154030951f,0.9071363416804920642988f,\ +-0.0090747242741150424550f,-1.426140714401586517823f,0.0902619806757116310836f,\ +-0.7111783918397256432087f,0.4421886947944868029303f,1.3229936148586256550175f,\ +0.0399972677459073389095f,-0.2744759605679197855821f,-0.6365722011642755973071f,\ +0.0838977431731276618310f,-0.0154779602574307128399f,1.3680369604712516728995f,\ +0.8578728691952266505183f,0.9477645632263477226687f,0.4034044727794333096149f,\ +-0.1637512612660888822180f,-1.521579761721328916124f,0.7389202762668894974851f,\ +1.6242287608009475796678f,0.0251523200085141500348f,-0.2296479198161843759962f,\ +0.3374847554612029343346f,1.0988696857027278053209f,0.6720077941707034430152f,\ +1.6284314621145825618953f,1.2811365743500131575416f,-0.6480287734962971724073f,\ +0.4079918994040774293808f,-0.6857363255654103095793f,0.1644734231427373016832f,\ +-0.9707468997532966437092f,-1.0103908741767126944211f,-0.3245462572729273520444f,\ +0.3569008288111439886059f,1.1707819570142721232742f,0.0931015649413182710958f,\ +1.2605162559518456877328f,-0.2998099303847839292025f,-1.8576048661033506270712f,\ +0.3542284165121863948045f,-0.3606813370588974332343f,-0.1691565053601437607078f,\ +-1.3723457158075849093848f,-0.3869812789951324605298f,1.327934065790971063237f,\ +0.6883264291332520379285f,1.1636463404567130019984f,-1.6679940626595868291560f,\ +-1.1660526540945894691248f,2.4012435579972462029730f,1.8717476066252398680945f,\ +0.6269431765551266577674f,-0.7276289505214773578601f,0.5485159953217271233683f,\ +-1.0371187436769986334184f,2.282202076649753941240f} + +#define CRESULTR {0.0586345786159515672264f,-0.4119079581767730036113f,-0.2376773392005311347219f,\ +0.5274985111723742292611f,-0.3785076402666358030835f,-0.0984442400006558665515f,\ +-0.5157322835496214175066f,0.1877549307968403857760f,0.0529309487949000886942f,\ +-0.8980782630098248509043f,0.1535280327645664466552f,0.3347825460369071581823f,\ +0.3118103625565722958335f,-0.4854100811784345381739f,0.4200271027799429846006f,\ +0.558160367722654870981f,0.3440445808210612077538f,-0.9190853850068781971672f,\ +-0.2206972238733744262618f,-0.3495146734241325048309f,-0.3828254526784128919381f,\ +0.3837160824181031770763f,0.6067122840309074893739f,-0.3528285483819846302112f,\ +0.2081338122939639656561f,-0.3109916924279712002743f,0.3607981848765179355709f,\ +0.0230220619188065515892f,-0.4409843876587154487545f,0.6706334235337022553480f,\ +0.4476928944367338791821f,0.0530051009287677843407f,0.0580922710665942171326f,\ +0.6889248635636368023327f,-0.7403179849986993854571f,-0.6014835481325517818618f,\ +0.9148458682398055152873f,-0.9100406392834269331260f,-0.3512629496668798201320f,\ +-0.0497281250251861567380f,-0.4533232590993708788218f,0.1183827451686376569517f,\ +-0.5400714293963024825729f,0.0986159601519734224651f,-0.0080964813496256192449f,\ +1.2504251172076377152109f,0.553383982176059552316f,0.2851532314993195926789f,\ +-0.1735373380028721046475f,-0.3392884681219434650501f,0.6674877635610125814480f,\ +0.3361668249120546292374f,-0.0103608516149833115860f,0.6876886023380593959686f,\ +0.2994018975364160506381f,-0.5461669463711513738957f,-0.3036470157958083837535f,\ +0.5659099835134179246054f,-0.2522688982901432619421f,0.73840604848731461463f,\ +-0.1399717847889199173750f,0.2285367773899925347703f,-0.3073816797691770186240f,\ +0.3738323046463303267473f,0.6895008314715558306318f,-0.0869179912549136179933f,\ +0.1045814791078650968226f,0.2183617419002600035238f,0.1799962512946713666384f,\ +-0.4306170362358095471400f,-0.956790010441086580251f,-0.2988659063401313820130f,\ +-0.26528818791890551587f,1.2018988344435987958292f,0.6134078020904577543959f,\ +-0.4635409097157874858119f,0.4066731412601408690577f,-0.0129216461290907521503f,\ +0.5459518490067882812156f,0.0551242941387568297085f,0.4571890743247491450951f,\ +0.1235106929418888221939f,-0.8301715333893021631084f,-0.3700021952100086553017f,\ +0.1433522018206848380739f,0.3867313699737674470569f,-0.1503114555841373045642f,\ +0.0501390172375495365986f,1.193524050554648274769f,0.3916234392819171183930f,\ +-0.2811037877759303138525f,0.3767282302151824247005f,0.7464338830239950484113f,\ +0.4613726054161970124845f,0.6177367275920276901147f,0.3993738908711506052640f,\ +0.2139276426895061200550f,-0.0554860078847602203322f,0.5165924809229520686671f,\ +0.1633124027176871273515f,-0.2918709165103665625907f,-0.2528080890770357247455f,\ +0.2897583915934112130941f,0.4021736360794072595581f,-0.713539018877845987454f,\ +0.3562716257530119112751f,0.7547097044407786725628f,0.2233423544188815612621f,\ +-0.3032157270895312062287f,0.1400739703409606129458f,-0.0867211925226533952848f,\ +-0.0758855325499612903828f,-0.3269646450472631915574f,-0.0564625318897502212478f,\ +0.6090972295195002939039f,0.2104281878811394279616f,-0.0676285383445118792878f,\ +-0.1277092508406163506862f,-0.7041149381903939463712f,-0.3071683332013411815709f,\ +-0.4736979352269045095980f,-0.1404550230528205378988f,-0.0412179517191962191403f,\ +0.3529283428251930310182f,0.1380434056063472858522f,0.6051661095195016715209f,\ +-0.5594498837332433360814f,-0.3889971602159096875084f,0.2168075281019664068971f,\ +-0.3028666557798217473518f,-0.1458483340857026078208f,0.4293137169051447488144f,\ +0.6953697523295457871839f,0.1321249855766219449826f,-0.4265596445818128912286f,\ +0.3486234081846604770938f,0.3421608935025099995642f,0.2115120471977689209364f,\ +-0.2203370156751261743633f,0.1545639581145290264441f,0.0357922784779254460341f,\ +0.5794250482661091883330f,0.4312552311016552564205f,-0.3727620017605887681178f,\ +0.1576377379130869393897f,0.2624856474568436071060f,1.3577286999442579329411f,\ +0.4860182340340697959569f,0.7617714539289787145648f,0.0366834217396586823035f,\ +-0.0394322693273299676453f,0.9807192175900326658322f,-0.6164954700307514467994f,\ +-0.0357893654572665059765f,-0.4572287236587250780495f,0.0072135289476597582586f,\ +0.0765359692550191955673f,0.0335408660165012612042f,0.4931690601828112585636f,\ +0.4939993220457917777466f,-0.296325232124018844715f,-0.2516901659302647753513f,\ +-0.1874945429943649932714f,-0.1522841974461120184703f,-1.0886404519839611992893f,\ +0.8661426586684568551533f,0.0144669239838038730245f,-0.2498600121525025030689f,\ +0.2258303913936256790418f,-0.0996627600161344717744f,0.5798388843647412915772f,\ +0.4402912178536843579302f,-0.0821496253311937152386f,1.1995498265712831731378f,\ +0.1037875988793510867447f,0.1808411497687466285011f,0.9003994950861190504909f,\ +0.8693703906397208802659f,0.3871229651004495231348f,0.5084262016718109622460f,\ +-0.3127921352240150554280f,0.4284515458646944163768f,0.1566612259199449408431f,\ +0.8425254932446538669311f,-0.8675086878856705929763f,0.3679908151081396905369f,\ +0.0059690185652748976169f,-0.4818927853047598741654f,0.3475368987720111602080f,\ +-0.2928677403656957944911f,-0.21281918945471237081f,-0.0615315656203920743894f,\ +-0.3828854358877186170318f,-0.0395445045895176927608f,-0.2453056840726963727661f,\ +-0.3319274210060903507191f,0.2716611153754885932265f,0.3885772436850290501020f,\ +0.4083161225294907326067f,0.1256636073410991871757f} + +#define CRESULTI {-0.9150826723701824816359f,-1.0038007968241344780580f,0.7761168535216221853190f,\ +-0.3822213477951738047622f,0.4088073079437265500147f,-0.9829838814461281382151f,\ +-0.6207924428978939257462f,-0.9924436424002488488227f,0.3107781745847606469368f,\ +0.190823563908477877860f,-0.9717930993017909191423f,1.1362832817249874928223f,\ +-1.0952400709881249252220f,0.8906629459042527674484f,-0.4031733379746096357366f,\ +-0.8926214809458651311402f,-0.2125955165236021182640f,-1.1626545105534673574255f,\ +1.4098114180999468114663f,0.6875898477221956683891f,-0.9827065462915589577619f,\ +1.0122682558571856059615f,0.7403338169936454216113f,0.3329978318477040399870f,\ +-0.2487126175192662380642f,0.9535461622187894059621f,0.4086259224331897366156f,\ +0.3454903551399998162807f,-1.4480476267508943788442f,-0.0795552773231696652712f,\ +-1.5699867995861691571946f,0.9329922799220887741356f,-0.7134073946597112581003f,\ +-0.3357762973784728099957f,-0.2527252112264842809353f,-0.0962463379406888058787f,\ +0.7882465889811950399135f,-1.2456800812145352175264f,0.9674854545265952898703f,\ +-1.1957951138140576752278f,-1.0308375326751320066876f,-0.5464592420922904647540f,\ +-1.3032325007401501792970f,1.1035601617683621356036f,-0.6554945586705149818130f,\ +0.8103435172856551238496f,-0.8103372317467707475203f,-0.2385573277010208381732f,\ +1.1587938021757215878438f,0.3435431890072572769235f,1.279788873802896409515f,\ +-1.3915550484745486947702f,-1.143175630086853633571f,-1.3493948361964505089361f,\ +1.180878018812092644652f,1.4994549779312595916281f,0.3471363780379303487500f,\ +-0.5114436565324694816681f,0.922077454999635448551f,0.5359370502466848096290f,\ +-0.9575622722618749582679f,0.9840232928412098178939f,-0.7866361736794498238368f,\ +0.3275153905103054818859f,0.6621644080795368036974f,0.6911787537867797315272f,\ +0.5555203262090003812901f,-0.7845741854114917090968f,0.0910458923193785268912f,\ +-1.367532424689007264362f,0.8821163892946874973688f,-0.8805618815721650838313f,\ +0.0615381817744835926676f,-1.5581379012861951149915f,-1.3216226160366340014463f,\ +-1.1059140418930615279436f,-0.9879008462145800750775f,0.986169123983388073995f,\ +0.2146596902165759102044f,0.6986026791593697993221f,0.3134566221055383739014f,\ +-0.7342575229927524871343f,-0.1797145584041555665955f,-0.8413107892059722425770f,\ +-1.019619130948550722593f,0.0308925093685123823561f,-0.0465149720271331584831f,\ 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(fabs(out[i])) ) <3e-6); + } +} + +void catanhaTest(void) { + float inR[]=CSOURCER; + float inI[]=CSOURCEI; + float resR[]=CRESULTR; + float resI[]=CRESULTI; + floatComplex in[200], out[200]; + int i=0; + + for (i=0;i<200;i++){ + in[i]=FloatComplex(inR[i],inI[i]); + } + catanha(in,200,out); + for (i=0;i<200;i++){ + assert( ( (fabs(creals(out[i])-resR[i])) / (fabs(creals(out[i]))) ) <1e-6); + assert( ( (fabs(cimags(out[i])-resI[i])) / (fabs(cimags(out[i]))) ) <1e-6); + } +} + +int testAtanh() { + printf("\n>>>> Float Hyperbolic Arctangeant Tests\n"); + satanhsTest(); + catanhsTest(); + satanhaTest(); + catanhaTest(); + return 0; +} + +int main() { + assert(testAtanh() == 0); + return 0; +} diff --git a/2.3-1/src/c/elementaryFunctions/atanh/zatanha.c b/2.3-1/src/c/elementaryFunctions/atanh/zatanha.c new file mode 100644 index 00000000..e35af912 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/atanh/zatanha.c @@ -0,0 +1,20 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "atanh.h" + +void zatanha(doubleComplex* x, int size, doubleComplex* y) { + int i = 0; + for (i = 0; i < size; ++i) { + y[i] = zatanhs(x[i]); + } +} diff --git a/2.3-1/src/c/elementaryFunctions/atanh/zatanhs.c b/2.3-1/src/c/elementaryFunctions/atanh/zatanhs.c new file mode 100644 index 00000000..7fb81126 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/atanh/zatanhs.c @@ -0,0 +1,25 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +/* +// METHOD +// based on the formula atanh(z) = i atan(-i z) +*/ + +#include "atanh.h" +#include "atan.h" + +doubleComplex zatanhs(doubleComplex z) { + doubleComplex minus_i_z = DoubleComplex(zimags(z), -zreals(z)); + doubleComplex atan_minus_i_z = zatans(minus_i_z); + return DoubleComplex(-zimags(atan_minus_i_z), zreals(atan_minus_i_z)); +} diff --git a/2.3-1/src/c/elementaryFunctions/auxiliaryFunctions_Import.def b/2.3-1/src/c/elementaryFunctions/auxiliaryFunctions_Import.def new file mode 100644 index 00000000..ee7e26e6 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/auxiliaryFunctions_Import.def @@ -0,0 +1,8 @@ +LIBRARY auxiliaryFunctions.dll
+
+
+EXPORTS
+sabss
+dabss
+spythags
+dpythags
\ No newline at end of file diff --git a/2.3-1/src/c/elementaryFunctions/ceil/Makefile.am b/2.3-1/src/c/elementaryFunctions/ceil/Makefile.am new file mode 100644 index 00000000..26723826 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/ceil/Makefile.am @@ -0,0 +1,60 @@ +## +## Scilab ( http://www.scilab.org/ ) - This file is part of Scilab +## Copyright (C) 2006-2008 - INRIA - Bruno JOFRET +## +## This file must be used under the terms of the CeCILL. +## This source file is licensed as described in the file COPYING, which +## you should have received as part of this distribution. The terms +## are also available at +## http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt +## +## + + + +libCeil_la_CFLAGS = -I $(top_builddir)/src/c/type \ + -I $(top_builddir)/src/c/elementaryFunctions/includes + +instdir = $(top_builddir)/lib + +pkglib_LTLIBRARIES = libCeil.la + +libCeil_la_SOURCES = $(HEAD) $(SRC) + +HEAD = ../includes/ceil.h + +SRC = sceils.c \ + dceils.c \ + cceils.c \ + zceils.c \ + sceila.c \ + dceila.c \ + cceila.c \ + zceila.c + +#### +# Checking Part +#### + +check_INCLUDES = -I $(top_builddir)/src/c/elementaryFunctions/includes \ + -I $(top_builddir)/src/c/type + +check_LDADD = $(top_builddir)/src/c/type/libDoubleComplex.la \ + $(top_builddir)/src/c/type/libFloatComplex.la \ + $(top_builddir)/src/c/elementaryFunctions/ceil/libCeil.la \ + @LIBMATH@ + +check_PROGRAMS = testFloatCeil testDoubleCeil + +TESTS = testFloatCeil testDoubleCeil + +# +# -*- Ceil Tests -*- +# +testFloatCeil_SOURCES = testFloatCeil.c +testFloatCeil_CFLAGS = $(check_INCLUDES) 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of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include <math.h> +#include "ceil.h" + +void cceila(floatComplex* x, int size, floatComplex* out) { + int i = 0; + for (i=0;i<size;i++) out[i] = cceils(x[i]); +} diff --git a/2.3-1/src/c/elementaryFunctions/ceil/cceils.c b/2.3-1/src/c/elementaryFunctions/ceil/cceils.c new file mode 100644 index 00000000..b09fafc3 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/ceil/cceils.c @@ -0,0 +1,21 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Arnaud Torset + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include <math.h> +#include "ceil.h" + +floatComplex cceils(floatComplex x) { + float ceilReal = ceilf(creals(x)); + float ceilImag = ceilf(cimags(x)); + + return FloatComplex(ceilReal, ceilImag); +} diff --git a/2.3-1/src/c/elementaryFunctions/ceil/dceila.c b/2.3-1/src/c/elementaryFunctions/ceil/dceila.c new file mode 100644 index 00000000..d21a9914 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/ceil/dceila.c @@ -0,0 +1,19 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Arnaud Torset + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include <math.h> +#include "ceil.h" + +void dceila(double* x, int size, double* out) { + int i = 0; + for (i=0;i<size;i++) out[i] = dceils(x[i]); +} diff --git a/2.3-1/src/c/elementaryFunctions/ceil/dceils.c b/2.3-1/src/c/elementaryFunctions/ceil/dceils.c new file mode 100644 index 00000000..cd3df445 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/ceil/dceils.c @@ -0,0 +1,18 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Arnaud Torset + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include <math.h> +#include "ceil.h" + +double dceils(double x) { + return (ceil(x)); +} diff --git a/2.3-1/src/c/elementaryFunctions/ceil/sceila.c b/2.3-1/src/c/elementaryFunctions/ceil/sceila.c new file mode 100644 index 00000000..217536b1 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/ceil/sceila.c @@ -0,0 +1,19 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Arnaud Torset + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include <math.h> +#include "ceil.h" + +void sceila(float* x, int size, float* out) { + int i = 0; + for (i=0;i<size;i++) out[i] = sceils(x[i]); +} diff --git a/2.3-1/src/c/elementaryFunctions/ceil/sceils.c b/2.3-1/src/c/elementaryFunctions/ceil/sceils.c new file mode 100644 index 00000000..cfcddeea --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/ceil/sceils.c @@ -0,0 +1,18 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Arnaud Torset + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include <math.h> +#include "ceil.h" + +float sceils(float x) { + return (ceilf(x)); +} diff --git a/2.3-1/src/c/elementaryFunctions/ceil/testDoubleCeil.c b/2.3-1/src/c/elementaryFunctions/ceil/testDoubleCeil.c new file mode 100644 index 00000000..29b42c42 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/ceil/testDoubleCeil.c @@ -0,0 +1,153 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008 - INRIA - Arnaud TORSET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + + +#include <assert.h> +#include <math.h> +#include <stdio.h> +#include "ceil.h" + + + +static void dceilsTest(void) { + assert ((fabs( dceils(-2) - (-2))/fabs(dceils(-2)))<1e-16); + assert ((fabs( dceils(-1.9) - (-1))/fabs(dceils(-1.9)))<1e-16); + assert ((fabs( dceils(-1.8) - (-1))/fabs(dceils(-1.8)))<1e-16); + assert ((fabs( dceils(-1.7) - (-1))/fabs(dceils(-1.7)))<1e-16); + assert ((fabs( dceils(-1.6) - (-1))/fabs(dceils(-1.6)))<1e-16); + assert ((fabs( dceils(-1.5) - (-1))/fabs(dceils(-1.5)))<1e-16); + assert ((fabs( dceils(-1.4) - (-1))/fabs(dceils(-1.4)))<1e-16); + assert ((fabs( dceils(-1.3) - (-1))/fabs(dceils(-1.3)))<1e-16); + assert ((fabs( dceils(-1.2) - (-1))/fabs(dceils(-1.2)))<1e-16); + assert ((fabs( dceils(-1.1) - (-1))/fabs(dceils(-1.1)))<1e-16); + assert ((fabs( dceils(-1.0) - (-1))/fabs(dceils(-1.0)))<1e-16); + assert (fabs( dceils(-.9))<1e-16); + assert ((fabs( dceils(1.0) - (1))/fabs(dceils(1.0)))<1e-16); + assert ((fabs( dceils(1.1) - (2))/fabs(dceils(1.1)))<1e-16); + assert ((fabs( dceils(1.2) - (2))/fabs(dceils(1.2)))<1e-16); + assert ((fabs( dceils(1.3) - (2))/fabs(dceils(1.3)))<1e-16); + assert ((fabs( dceils(1.4) - (2))/fabs(dceils(1.4)))<1e-16); + assert ((fabs( dceils(1.5) - (2))/fabs(dceils(1.9)))<1e-16); + assert ((fabs( dceils(1.6) - (2))/fabs(dceils(1.9)))<1e-16); + assert ((fabs( dceils(1.7) - (2))/fabs(dceils(1.9)))<1e-16); + assert ((fabs( dceils(1.8) - (2))/fabs(dceils(1.9)))<1e-16); + assert ((fabs( dceils(1.9) - (2))/fabs(dceils(1.9)))<1e-16); + assert ((fabs( dceils(2.0) - (2))/fabs(dceils(2.0)))<1e-16); + +} + +static void zceilsTest(void) { + doubleComplex in, out; + + + /* tests allant de -2 + i a -1 + 2*i, les reels décroissants de 0.1, les imaginaires croissant de 0.1 + + 1 test supplementaire : -0.9 + 0.9*i*/ + + in=DoubleComplex(-2,1); + out = zceils(in); + assert ((fabs( zreals(out) - (-2))/fabs(zreals(out)))<1e-16); + assert ((fabs( zimags(out) - (1))/fabs(zimags(out)))<1e-16); + in=DoubleComplex(-1.9,1.1); + out = zceils(in); + assert ((fabs( zreals(out) - (-1))/fabs(zreals(out)))<1e-16); + assert ((fabs( zimags(out) - (2))/fabs(zimags(out)))<1e-16); + in=DoubleComplex(-1.8,1.2); + out = zceils(in); + assert ((fabs( zreals(out) - (-1))/fabs(zreals(out)))<1e-16); + assert ((fabs( zimags(out) - (2))/fabs(zimags(out)))<1e-16); + in=DoubleComplex(-1.7,1.3); + out = zceils(in); + assert ((fabs( zreals(out) - (-1))/fabs(zreals(out)))<1e-16); + assert ((fabs( zimags(out) - (2))/fabs(zimags(out)))<1e-16); + in=DoubleComplex(-1.6,1.4); + out = zceils(in); + assert ((fabs( zreals(out) - (-1))/fabs(zreals(out)))<1e-16); + assert ((fabs( zimags(out) - (2))/fabs(zimags(out)))<1e-16); + in=DoubleComplex(-1.5,1.5); + out = zceils(in); + assert ((fabs( zreals(out) - (-1))/fabs(zreals(out)))<1e-16); + assert ((fabs( zimags(out) - (2))/fabs(zimags(out)))<1e-16); + in=DoubleComplex(-1.4,1.6); + out = zceils(in); + assert ((fabs( zreals(out) - (-1))/fabs(zreals(out)))<1e-16); + assert ((fabs( zimags(out) - (2))/fabs(zimags(out)))<1e-16); + in=DoubleComplex(-1.3,1.7); + out = zceils(in); + assert ((fabs( zreals(out) - (-1))/fabs(zreals(out)))<1e-16); + assert ((fabs( zimags(out) - (2))/fabs(zimags(out)))<1e-16); + in=DoubleComplex(-1.2,1.8); + out = zceils(in); + assert ((fabs( zreals(out) - (-1))/fabs(zreals(out)))<1e-16); + assert ((fabs( zimags(out) - (2))/fabs(zimags(out)))<1e-16); + in=DoubleComplex(-1.1,1.9); + out = zceils(in); + assert ((fabs( zreals(out) - (-1))/fabs(zreals(out)))<1e-16); + assert ((fabs( zimags(out) - (2))/fabs(zimags(out)))<1e-16); + in=DoubleComplex(-1.0,2.0); + out = zceils(in); + assert ((fabs( zreals(out) - (-1))/fabs(zreals(out)))<1e-16); + assert ((fabs( zimags(out) - (2))/fabs(zimags(out)))<1e-16); + in=DoubleComplex(-.9,.9); + out = zceils(in); + assert (fabs( zreals(out))<1e-16); + assert ((fabs( zimags(out) - (1))/fabs(zimags(out)))<1e-16); + +} + +static void dceilaTest(void) { + int i; + double in[10]={1.2, 2.0,-2.0,-3.1,-4.5,6.1,4.1,4.9,-0.7, 0.5}; + double res[10]={2,2,-2,-3,-4,7,5,5,0,1}; + double out[10]; + + dceila(in,10,out); + + for (i=0;i<10;i++) + if (out[i]!=0) assert(fabs(out[i]-res[i])/fabs(out[i]) <1e-16); + else assert (fabs(out[i]-res[i])==0); +} + +static void zceilaTest(void) { + int i; + double inR[10]={1.2, 2.0,-2.0,-3.1,-4.5,6.1,4.1,4.9,-0.7, 0.5}; + double inI[10]={5.4,1.8,1.4,-4.0,-2.7,-0.3,1.5,1.4,7.3,-4.6}; + double resR[10]={2,2,-2,-3,-4,7,5,5,0,1}; + double resI[10]={6,2,2,-4,-2,0,2,2,8,-4}; + doubleComplex out[10],*in; + + in=DoubleComplexMatrix(inR,inI,10); + zceila(in,10,out); + + for (i=0;i<10;i++){ + if (zreals(out[i])!=0) assert(fabs(zreals(out[i])-resR[i])/fabs(zreals(out[i]))<1e-16); + else assert(fabs(zreals(out[i])-resR[i]) <1e-16); + if (zimags(out[i])!=0) assert(fabs(zimags(out[i])-resI[i])/fabs(zimags(out[i]))<1e-16); + else assert(fabs(zimags(out[i])-resI[i]) <1e-16); + } + +} + + +static int testCeil() { + printf("\n>>>> Double Ceil Tests\n"); + dceilsTest(); + zceilsTest(); + dceilaTest(); + zceilaTest(); + + return 0; +} + +int main() { + assert(testCeil() == 0); + return 0; +} diff --git a/2.3-1/src/c/elementaryFunctions/ceil/testFloatCeil.c b/2.3-1/src/c/elementaryFunctions/ceil/testFloatCeil.c new file mode 100644 index 00000000..f3ded89b --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/ceil/testFloatCeil.c @@ -0,0 +1,149 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008 - INRIA - Arnaud TORSET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + + +#include <assert.h> +#include <math.h> +#include <stdio.h> +#include "ceil.h" + + +static void sceilsTest(void) { + + assert ((fabs( sceils(-2) - (-2))/fabs(sceils(-2)))<1e-16); + assert ((fabs( sceils(-1.9f) - (-1))/fabs(sceils(-1.9f)))<1e-16); + assert ((fabs( sceils(-1.8f) - (-1))/fabs(sceils(-1.8f)))<1e-16); + assert ((fabs( sceils(-1.7f) - (-1))/fabs(sceils(-1.7f)))<1e-16); + assert ((fabs( sceils(-1.6f) - (-1))/fabs(sceils(-1.6f)))<1e-16); + assert ((fabs( sceils(-1.5f) - (-1))/fabs(sceils(-1.5f)))<1e-16); + assert ((fabs( sceils(-1.4f) - (-1))/fabs(sceils(-1.4f)))<1e-16); + assert ((fabs( sceils(-1.3f) - (-1))/fabs(sceils(-1.3f)))<1e-16); + assert ((fabs( sceils(-1.2f) - (-1))/fabs(sceils(-1.2f)))<1e-16); + assert ((fabs( sceils(-1.1f) - (-1))/fabs(sceils(-1.1f)))<1e-16); + assert ((fabs( sceils(-1.0f) - (-1))/fabs(sceils(-1.0f)))<1e-16); + assert (fabs( sceils(-.9f))<1e-16); + assert ((fabs( sceils(1.0f) - (1))/fabs(sceils(1.0f)))<1e-16); + assert ((fabs( sceils(1.1f) - (2))/fabs(sceils(1.1f)))<1e-16); + assert ((fabs( sceils(1.2f) - (2))/fabs(sceils(1.2f)))<1e-16); + assert ((fabs( sceils(1.3f) - (2))/fabs(sceils(1.3f)))<1e-16); + assert ((fabs( sceils(1.4f) - (2))/fabs(sceils(1.4f)))<1e-16); + assert ((fabs( sceils(1.5f) - (2))/fabs(sceils(1.5f)))<1e-16); + assert ((fabs( sceils(1.6f) - (2))/fabs(sceils(1.6f)))<1e-16); + assert ((fabs( sceils(1.7f) - (2))/fabs(sceils(1.7f)))<1e-16); + assert ((fabs( sceils(1.8f) - (2))/fabs(sceils(1.8f)))<1e-16); + assert ((fabs( sceils(1.9f) - (2))/fabs(sceils(1.9f)))<1e-16); + assert ((fabs( sceils(2.0f) - (2))/fabs(sceils(2.0f)))<1e-16); +} + +static void cceilsTest(void) { + floatComplex in, out; + + + /* tests allant de -2 + i a -1 + 2*i, les reels décroissants de 0.1, les imaginaires croissant de 0.1 + + 1 test supplementaire : -0.9 + 0.9*i*/ + + in=FloatComplex(-2,1); + out = cceils(in); + assert ((fabs( creals(out) - (-2))/fabs(creals(out)))<1e-16); + assert ((fabs( cimags(out) - (1))/fabs(cimags(out)))<1e-16); + in=FloatComplex(-1.9f,1.1f); + out = cceils(in); + assert ((fabs( creals(out) - (-1))/fabs(creals(out)))<1e-16); + assert ((fabs( cimags(out) - (2))/fabs(cimags(out)))<1e-16); + in=FloatComplex(-1.8f,1.2f); + out = cceils(in); + assert ((fabs( creals(out) - (-1))/fabs(creals(out)))<1e-16); + assert ((fabs( cimags(out) - (2))/fabs(cimags(out)))<1e-16); + in=FloatComplex(-1.7f,1.3f); + out = cceils(in); + assert ((fabs( creals(out) - (-1))/fabs(creals(out)))<1e-16); + assert ((fabs( cimags(out) - (2))/fabs(cimags(out)))<1e-16); + in=FloatComplex(-1.6f,1.4f); + out = cceils(in); + assert ((fabs( creals(out) - (-1))/fabs(creals(out)))<1e-16); + assert ((fabs( cimags(out) - (2))/fabs(cimags(out)))<1e-16); + in=FloatComplex(-1.5f,1.5f); + out = cceils(in); + assert ((fabs( creals(out) - (-1))/fabs(creals(out)))<1e-16); + assert ((fabs( cimags(out) - (2))/fabs(cimags(out)))<1e-16); + in=FloatComplex(-1.4f,1.6f); + out = cceils(in); + assert ((fabs( creals(out) - (-1))/fabs(creals(out)))<1e-16); + assert ((fabs( cimags(out) - (2))/fabs(cimags(out)))<1e-16); + in=FloatComplex(-1.3f,1.7f); + out = cceils(in); + assert ((fabs( creals(out) - (-1))/fabs(creals(out)))<1e-16); + assert ((fabs( cimags(out) - (2))/fabs(cimags(out)))<1e-16); + in=FloatComplex(-1.2f,1.8f); + out = cceils(in); + assert ((fabs( creals(out) - (-1))/fabs(creals(out)))<1e-16); + assert ((fabs( cimags(out) - (2))/fabs(cimags(out)))<1e-16); + in=FloatComplex(-1.1f,1.9f); + out = cceils(in); + assert ((fabs( creals(out) - (-1))/fabs(creals(out)))<1e-16); + assert ((fabs( cimags(out) - (2))/fabs(cimags(out)))<1e-16); + in=FloatComplex(-1.0f,2.0f); + out = cceils(in); + assert ((fabs( creals(out) - (-1))/fabs(creals(out)))<1e-16); + assert ((fabs( cimags(out) - (2))/fabs(cimags(out)))<1e-16); + in=FloatComplex(-.9f,.9f); + out = cceils(in); + assert (fabs( creals(out))<1e-16); + assert ((fabs( cimags(out) - (1))/fabs(cimags(out)))<1e-16); +} + +static void sceilaTest(void) { + int i; + float in[10]={1.2f, 2.0f,-2.0f,-3.1f,-4.5f,6.1f,4.1f,4.9f,-0.7f, 0.5f}; + float res[10]={2,2,-2,-3,-4,7,5,5,0,1}; + float out[10]; + + sceila(in,10,out); + + for (i=0;i<10;i++) + if (out[i]!=0) assert(fabs(out[i]-res[i])/fabs(out[i])<1e-16); + else assert(fabs(out[i]-res[i]) <1e-16); +} + +static void cceilaTest(void) { + int i; + float inR[10]={1.2f, 2.0f,-2.0f,-3.1f,-4.5f,6.1f,4.1f,4.9f,-0.7f, 0.5f}; + float inI[10]={5.4f,1.8f,1.4f,-4.0f,-2.7f,-0.3f,1.5f,1.4f,7.3f,-4.6f}; + float resR[10]={2,2,-2,-3,-4,7,5,5,0,1}; + float resI[10]={6,2,2,-4,-2,0,2,2,8,-4}; + floatComplex out[10],*in; + + in=FloatComplexMatrix(inR,inI,10); + cceila(in,10,out); + + for (i=0;i<10;i++){ + if(creals(out[i])!=0) assert(fabs(creals(out[i])-resR[i])/fabs(creals(out[i]))<1e-16); + else assert(fabs(creals(out[i])-resR[i]) <1e-16); + if(cimags(out[i])!=0) assert(fabs(cimags(out[i])-resI[i])/fabs(cimags(out[i]))<1e-16); + else assert(fabs(cimags(out[i])-resI[i]) <1e-16); + } +} + +static int testCeil() { + printf("\n>>>> Float Ceil Tests\n"); + sceilsTest(); + cceilsTest(); + sceilaTest(); + cceilaTest(); + + return 0; +} + +int main() { + assert(testCeil() == 0); + return 0; +} diff --git a/2.3-1/src/c/elementaryFunctions/ceil/zceila.c b/2.3-1/src/c/elementaryFunctions/ceil/zceila.c new file mode 100644 index 00000000..292726b1 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/ceil/zceila.c @@ -0,0 +1,19 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Arnaud Torset + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include <math.h> +#include "ceil.h" + +void zceila(doubleComplex* x, int size, doubleComplex* out) { + int i = 0; + for (i=0;i<size;i++) out[i] = zceils(x[i]); +} diff --git a/2.3-1/src/c/elementaryFunctions/ceil/zceils.c b/2.3-1/src/c/elementaryFunctions/ceil/zceils.c new file mode 100644 index 00000000..3befcd57 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/ceil/zceils.c @@ -0,0 +1,21 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Arnaud Torset + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include <math.h> +#include "ceil.h" + +doubleComplex zceils(doubleComplex x) { + double ceilReal = ceil(zreals(x)); + double ceilImag = ceil(zimags(x)); + + return DoubleComplex(ceilReal, ceilImag); +} diff --git a/2.3-1/src/c/elementaryFunctions/cos/Makefile.am b/2.3-1/src/c/elementaryFunctions/cos/Makefile.am new file mode 100644 index 00000000..890675be --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/cos/Makefile.am @@ -0,0 +1,71 @@ +## +## Scilab ( http://www.scilab.org/ ) - This file is part of Scilab +## Copyright (C) 2006-2008 - INRIA - Bruno JOFRET +## +## This file must be used under the terms of the CeCILL. +## This source file is licensed as described in the file COPYING, which +## you should have received as part of this distribution. The terms +## are also available at +## http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt +## +## + + + +libCos_la_CFLAGS = -I $(top_builddir)/src/c/type \ + -I $(top_builddir)/src/c/elementaryFunctions/includes + +instdir = $(top_builddir)/lib + +pkglib_LTLIBRARIES = libCos.la + +libCos_la_SOURCES = $(HEAD) $(SRC) + +HEAD = ../includes/cos.h + +SRC = scoss.c \ + dcoss.c \ + ccoss.c \ + zcoss.c \ + scosa.c \ + dcosa.c \ + ccosa.c \ + zcosa.c + +#### +# Checking Part +#### + +check_INCLUDES = -I $(top_builddir)/src/c/elementaryFunctions/includes \ + -I $(top_builddir)/src/c/type + +check_LDADD = $(top_builddir)/src/c/type/libDoubleComplex.la \ + $(top_builddir)/src/c/type/libFloatComplex.la \ + $(top_builddir)/src/c/operations/addition/libAddition.la \ + $(top_builddir)/src/fortran/lapack/libscilapack.la \ + $(top_builddir)/src/c/elementaryFunctions/cos/libCos.la \ + $(top_builddir)/src/c/elementaryFunctions/sin/libSin.la \ + 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$(AM_LIBTOOLFLAGS) \ + $(LIBTOOLFLAGS) --mode=link $(CCLD) $(testFloatCos_CFLAGS) \ + $(CFLAGS) $(AM_LDFLAGS) $(LDFLAGS) -o $@ +DEFAULT_INCLUDES = -I.@am__isrc@ -I$(top_builddir)/includes +depcomp = $(SHELL) $(top_srcdir)/config/depcomp +am__depfiles_maybe = depfiles +am__mv = mv -f +COMPILE = $(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) \ + $(CPPFLAGS) $(AM_CFLAGS) $(CFLAGS) +LTCOMPILE = $(LIBTOOL) --tag=CC $(AM_LIBTOOLFLAGS) $(LIBTOOLFLAGS) \ + --mode=compile $(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) \ + $(AM_CPPFLAGS) $(CPPFLAGS) $(AM_CFLAGS) $(CFLAGS) +CCLD = $(CC) +LINK = $(LIBTOOL) --tag=CC $(AM_LIBTOOLFLAGS) $(LIBTOOLFLAGS) \ + --mode=link $(CCLD) $(AM_CFLAGS) $(CFLAGS) $(AM_LDFLAGS) \ + $(LDFLAGS) -o $@ +SOURCES = $(libCos_la_SOURCES) $(testDoubleCos_SOURCES) \ + $(testFloatCos_SOURCES) +DIST_SOURCES = $(libCos_la_SOURCES) $(testDoubleCos_SOURCES) \ + $(testFloatCos_SOURCES) +ETAGS = etags +CTAGS = ctags +am__tty_colors = \ +red=; grn=; lgn=; blu=; std= +DISTFILES = $(DIST_COMMON) $(DIST_SOURCES) $(TEXINFOS) $(EXTRA_DIST) +ACLOCAL = @ACLOCAL@ +AMTAR = @AMTAR@ +AR = @AR@ +AUTOCONF = @AUTOCONF@ +AUTOHEADER = @AUTOHEADER@ +AUTOMAKE = @AUTOMAKE@ +AWK = @AWK@ +CC = @CC@ +CCDEPMODE = @CCDEPMODE@ +CFLAGS = @CFLAGS@ +CPP = @CPP@ +CPPFLAGS = @CPPFLAGS@ +CXX = @CXX@ +CXXCPP = @CXXCPP@ +CXXDEPMODE = @CXXDEPMODE@ +CXXFLAGS = @CXXFLAGS@ +CYGPATH_W = @CYGPATH_W@ +DEFS = @DEFS@ +DEPDIR = @DEPDIR@ +DSYMUTIL = @DSYMUTIL@ +DUMPBIN = @DUMPBIN@ +ECHO_C = @ECHO_C@ +ECHO_N = @ECHO_N@ +ECHO_T = @ECHO_T@ +EGREP = @EGREP@ +EXEEXT = @EXEEXT@ +F77 = @F77@ +FFLAGS = @FFLAGS@ +FGREP = @FGREP@ +GREP = @GREP@ +INSTALL = @INSTALL@ +INSTALL_DATA = @INSTALL_DATA@ +INSTALL_PROGRAM = @INSTALL_PROGRAM@ +INSTALL_SCRIPT = @INSTALL_SCRIPT@ +INSTALL_STRIP_PROGRAM = @INSTALL_STRIP_PROGRAM@ +LD = @LD@ +LDFLAGS = @LDFLAGS@ +LIBMATH = @LIBMATH@ +LIBOBJS = @LIBOBJS@ +LIBS = @LIBS@ +LIBTOOL = @LIBTOOL@ +LIPO = @LIPO@ +LN_S = @LN_S@ +LTLIBOBJS = @LTLIBOBJS@ +MAINT = @MAINT@ +MAKEINFO = @MAKEINFO@ +MKDIR_P = @MKDIR_P@ +NM = @NM@ +NMEDIT = @NMEDIT@ +OBJDUMP = @OBJDUMP@ +OBJEXT = @OBJEXT@ +OTOOL = @OTOOL@ +OTOOL64 = @OTOOL64@ +PACKAGE = @PACKAGE@ +PACKAGE_BUGREPORT = @PACKAGE_BUGREPORT@ +PACKAGE_NAME = @PACKAGE_NAME@ +PACKAGE_STRING = @PACKAGE_STRING@ +PACKAGE_TARNAME = @PACKAGE_TARNAME@ +PACKAGE_URL = @PACKAGE_URL@ +PACKAGE_VERSION = @PACKAGE_VERSION@ +PATH_SEPARATOR = @PATH_SEPARATOR@ +RANLIB = @RANLIB@ +SED = @SED@ +SET_MAKE = @SET_MAKE@ +SHELL = @SHELL@ +STRIP = @STRIP@ +VERSION = @VERSION@ +abs_builddir = @abs_builddir@ +abs_srcdir = @abs_srcdir@ +abs_top_builddir = @abs_top_builddir@ +abs_top_srcdir = @abs_top_srcdir@ +ac_ct_CC = @ac_ct_CC@ +ac_ct_CXX = @ac_ct_CXX@ +ac_ct_DUMPBIN = @ac_ct_DUMPBIN@ +ac_ct_F77 = @ac_ct_F77@ +am__include = @am__include@ +am__leading_dot = @am__leading_dot@ +am__quote = @am__quote@ +am__tar = @am__tar@ +am__untar = @am__untar@ +bindir = @bindir@ +build = @build@ +build_alias = @build_alias@ +build_cpu = @build_cpu@ +build_os = @build_os@ +build_vendor = @build_vendor@ +builddir = @builddir@ +datadir = @datadir@ +datarootdir = @datarootdir@ +docdir = @docdir@ +dvidir = @dvidir@ +exec_prefix = @exec_prefix@ +host = @host@ +host_alias = @host_alias@ +host_cpu = @host_cpu@ +host_os = @host_os@ +host_vendor = @host_vendor@ +htmldir = @htmldir@ +includedir = @includedir@ +infodir = @infodir@ +install_sh = @install_sh@ +libdir = @libdir@ +libexecdir = @libexecdir@ +localedir = @localedir@ +localstatedir = @localstatedir@ +lt_ECHO = @lt_ECHO@ +mandir = @mandir@ +mkdir_p = @mkdir_p@ +oldincludedir = @oldincludedir@ +pdfdir = @pdfdir@ +prefix = @prefix@ +program_transform_name = @program_transform_name@ +psdir = @psdir@ +sbindir = @sbindir@ +sharedstatedir = @sharedstatedir@ +srcdir = @srcdir@ +sysconfdir = @sysconfdir@ +target_alias = @target_alias@ +top_build_prefix = @top_build_prefix@ +top_builddir = @top_builddir@ +top_srcdir = @top_srcdir@ +libCos_la_CFLAGS = -I $(top_builddir)/src/c/type \ + -I $(top_builddir)/src/c/elementaryFunctions/includes + +instdir = $(top_builddir)/lib +pkglib_LTLIBRARIES = libCos.la +libCos_la_SOURCES = $(HEAD) $(SRC) +HEAD = ../includes/cos.h +SRC = scoss.c \ + dcoss.c \ + ccoss.c \ + zcoss.c \ + scosa.c \ + dcosa.c \ + ccosa.c \ + zcosa.c + + +#### +# Checking Part +#### +check_INCLUDES = -I $(top_builddir)/src/c/elementaryFunctions/includes \ + -I $(top_builddir)/src/c/type + +check_LDADD = $(top_builddir)/src/c/type/libDoubleComplex.la \ + $(top_builddir)/src/c/type/libFloatComplex.la \ + $(top_builddir)/src/c/operations/addition/libAddition.la \ + $(top_builddir)/src/fortran/lapack/libscilapack.la \ + $(top_builddir)/src/c/elementaryFunctions/cos/libCos.la \ + $(top_builddir)/src/c/elementaryFunctions/sin/libSin.la \ + $(top_builddir)/src/c/elementaryFunctions/cosh/libCosh.la \ + $(top_builddir)/src/c/elementaryFunctions/sinh/libSinh.la \ + $(top_builddir)/src/c/elementaryFunctions/exp/libExp.la \ + 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else break; fi; }; \ + exit 1;; \ + esac; \ + done; \ + echo ' cd $(top_srcdir) && $(AUTOMAKE) --foreign src/c/elementaryFunctions/cos/Makefile'; \ + $(am__cd) $(top_srcdir) && \ + $(AUTOMAKE) --foreign src/c/elementaryFunctions/cos/Makefile +.PRECIOUS: Makefile +Makefile: $(srcdir)/Makefile.in $(top_builddir)/config.status + @case '$?' in \ + *config.status*) \ + cd $(top_builddir) && $(MAKE) $(AM_MAKEFLAGS) am--refresh;; \ + *) \ + echo ' cd $(top_builddir) && $(SHELL) ./config.status $(subdir)/$@ $(am__depfiles_maybe)'; \ + cd $(top_builddir) && $(SHELL) ./config.status $(subdir)/$@ $(am__depfiles_maybe);; \ + esac; + +$(top_builddir)/config.status: $(top_srcdir)/configure $(CONFIG_STATUS_DEPENDENCIES) + cd $(top_builddir) && $(MAKE) $(AM_MAKEFLAGS) am--refresh + +$(top_srcdir)/configure: @MAINTAINER_MODE_TRUE@ $(am__configure_deps) + cd $(top_builddir) && $(MAKE) $(AM_MAKEFLAGS) am--refresh +$(ACLOCAL_M4): @MAINTAINER_MODE_TRUE@ $(am__aclocal_m4_deps) + cd $(top_builddir) && $(MAKE) $(AM_MAKEFLAGS) am--refresh +$(am__aclocal_m4_deps): +install-pkglibLTLIBRARIES: $(pkglib_LTLIBRARIES) + @$(NORMAL_INSTALL) + test -z "$(pkglibdir)" || $(MKDIR_P) "$(DESTDIR)$(pkglibdir)" + @list='$(pkglib_LTLIBRARIES)'; test -n "$(pkglibdir)" || list=; \ + list2=; for p in $$list; do \ + if test -f $$p; then \ + list2="$$list2 $$p"; \ + else :; fi; \ + done; \ + test -z "$$list2" || { \ + echo " $(LIBTOOL) $(AM_LIBTOOLFLAGS) $(LIBTOOLFLAGS) --mode=install $(INSTALL) $(INSTALL_STRIP_FLAG) $$list2 '$(DESTDIR)$(pkglibdir)'"; \ + $(LIBTOOL) $(AM_LIBTOOLFLAGS) $(LIBTOOLFLAGS) --mode=install $(INSTALL) $(INSTALL_STRIP_FLAG) $$list2 "$(DESTDIR)$(pkglibdir)"; \ + } + +uninstall-pkglibLTLIBRARIES: + @$(NORMAL_UNINSTALL) + @list='$(pkglib_LTLIBRARIES)'; test -n "$(pkglibdir)" || list=; \ + for p in $$list; do \ + $(am__strip_dir) \ + echo " $(LIBTOOL) $(AM_LIBTOOLFLAGS) $(LIBTOOLFLAGS) --mode=uninstall rm -f '$(DESTDIR)$(pkglibdir)/$$f'"; \ + $(LIBTOOL) $(AM_LIBTOOLFLAGS) $(LIBTOOLFLAGS) --mode=uninstall rm -f "$(DESTDIR)$(pkglibdir)/$$f"; \ + done + +clean-pkglibLTLIBRARIES: + -test -z "$(pkglib_LTLIBRARIES)" || rm -f $(pkglib_LTLIBRARIES) + @list='$(pkglib_LTLIBRARIES)'; for p in $$list; do \ + dir="`echo $$p | sed -e 's|/[^/]*$$||'`"; \ + test "$$dir" != "$$p" || dir=.; \ + echo "rm -f \"$${dir}/so_locations\""; \ + rm -f "$${dir}/so_locations"; \ + done +libCos.la: $(libCos_la_OBJECTS) $(libCos_la_DEPENDENCIES) + $(libCos_la_LINK) -rpath $(pkglibdir) $(libCos_la_OBJECTS) $(libCos_la_LIBADD) $(LIBS) + +clean-checkPROGRAMS: + @list='$(check_PROGRAMS)'; test -n "$$list" || exit 0; \ + echo " rm -f" $$list; \ + rm -f $$list || exit $$?; \ + test -n "$(EXEEXT)" || exit 0; \ + list=`for p in $$list; do echo "$$p"; done | sed 's/$(EXEEXT)$$//'`; \ + echo " rm -f" $$list; \ + rm -f $$list +testDoubleCos$(EXEEXT): $(testDoubleCos_OBJECTS) $(testDoubleCos_DEPENDENCIES) + @rm -f testDoubleCos$(EXEEXT) + $(testDoubleCos_LINK) $(testDoubleCos_OBJECTS) $(testDoubleCos_LDADD) $(LIBS) +testFloatCos$(EXEEXT): $(testFloatCos_OBJECTS) $(testFloatCos_DEPENDENCIES) + @rm -f testFloatCos$(EXEEXT) + $(testFloatCos_LINK) $(testFloatCos_OBJECTS) $(testFloatCos_LDADD) $(LIBS) + +mostlyclean-compile: + -rm -f *.$(OBJEXT) + +distclean-compile: + -rm -f *.tab.c + +@AMDEP_TRUE@@am__include@ @am__quote@./$(DEPDIR)/libCos_la-ccosa.Plo@am__quote@ +@AMDEP_TRUE@@am__include@ @am__quote@./$(DEPDIR)/libCos_la-ccoss.Plo@am__quote@ +@AMDEP_TRUE@@am__include@ @am__quote@./$(DEPDIR)/libCos_la-dcosa.Plo@am__quote@ +@AMDEP_TRUE@@am__include@ @am__quote@./$(DEPDIR)/libCos_la-dcoss.Plo@am__quote@ +@AMDEP_TRUE@@am__include@ @am__quote@./$(DEPDIR)/libCos_la-scosa.Plo@am__quote@ +@AMDEP_TRUE@@am__include@ @am__quote@./$(DEPDIR)/libCos_la-scoss.Plo@am__quote@ +@AMDEP_TRUE@@am__include@ @am__quote@./$(DEPDIR)/libCos_la-zcosa.Plo@am__quote@ +@AMDEP_TRUE@@am__include@ @am__quote@./$(DEPDIR)/libCos_la-zcoss.Plo@am__quote@ +@AMDEP_TRUE@@am__include@ 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distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "cos.h" + +void ccosa(floatComplex* x, int size, floatComplex* y) { + int i = 0; + for (i = 0; i < size; ++i) { + y[i] = ccoss(x[i]); + } +} diff --git a/2.3-1/src/c/elementaryFunctions/cos/ccoss.c b/2.3-1/src/c/elementaryFunctions/cos/ccoss.c new file mode 100644 index 00000000..cee27a6e --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/cos/ccoss.c @@ -0,0 +1,24 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "cos.h" +#include "sin.h" +#include "cosh.h" +#include "sinh.h" + +floatComplex ccoss(floatComplex z) { + float real = creals(z); + float imag = cimags(z); + + return FloatComplex(scoss(real) * scoshs(imag), + -ssins(real) * ssinhs(imag)); +} diff --git a/2.3-1/src/c/elementaryFunctions/cos/dcosa.c b/2.3-1/src/c/elementaryFunctions/cos/dcosa.c new file mode 100644 index 00000000..3a3242be --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/cos/dcosa.c @@ -0,0 +1,20 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "cos.h" + +void dcosa(double* x, int size, double* y) { + int i = 0; + for (i = 0; i < size; ++i) { + y[i] = dcoss(x[i]); + } +} diff --git a/2.3-1/src/c/elementaryFunctions/cos/dcoss.c b/2.3-1/src/c/elementaryFunctions/cos/dcoss.c new file mode 100644 index 00000000..4614bd8a --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/cos/dcoss.c @@ -0,0 +1,18 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include <math.h> +#include "cos.h" + +double dcoss(double x) { + return (cos(x)); +} diff --git a/2.3-1/src/c/elementaryFunctions/cos/scosa.c b/2.3-1/src/c/elementaryFunctions/cos/scosa.c new file mode 100644 index 00000000..19930636 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/cos/scosa.c @@ -0,0 +1,20 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "cos.h" + +void scosa(float* x, int size, float* y) { + int i = 0; + for (i = 0; i < size; ++i) { + y[i] = scoss(x[i]); + } +} diff --git a/2.3-1/src/c/elementaryFunctions/cos/scoss.c b/2.3-1/src/c/elementaryFunctions/cos/scoss.c new file mode 100644 index 00000000..9a3ca059 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/cos/scoss.c @@ -0,0 +1,18 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include <math.h> +#include "cos.h" + +float scoss(float x) { + return (cosf(x)); +} diff --git a/2.3-1/src/c/elementaryFunctions/cos/testCos.h b/2.3-1/src/c/elementaryFunctions/cos/testCos.h new file mode 100644 index 00000000..11be0542 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/cos/testCos.h @@ -0,0 +1,41 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Arnaud TORSET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#ifndef _TESTCOS_H_ +#define _TESTCOS_H_ + +#include <stdio.h> +#include <assert.h> +#include <math.h> +#include "cos.h" +#include "constant.h" + + +void scossTest(void); + +void dcossTest(void); + +void ccossTest(void); + +void zcossTest(void); + +void scosaTest(void); + +void dcosaTest(void); + +void ccosaTest(void); + +void zcosaTest(void); + +int testCos(void); + +#endif /* ! _TESTCOS_H_ */ diff --git a/2.3-1/src/c/elementaryFunctions/cos/testDoubleCos.c b/2.3-1/src/c/elementaryFunctions/cos/testDoubleCos.c new file mode 100644 index 00000000..d53d4aa6 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/cos/testDoubleCos.c @@ -0,0 +1,496 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Arnaud TORSET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "testCos.h" + +#define SOURCE {0.6087216374946681218816,-0.4914009399790010834685,0.2966492127240239473629,\ +-1.0120131171793795843428,-2.1768580524449996360659,0.0399891371904198267284,\ +0.3264664449949340463419,0.3928915710000103755917,-0.9023248339668938911018,\ +-0.7061054028011619632110,0.6351420537982425118528,1.7243031942788638044561,\ +-1.193843423508647916265,-0.6699486724870092890782,0.9455390047179551560319,\ +-0.7269584830448905243827,0.0587220167793607444873,0.7465722023081590164040,\ +-1.8115798920517958148224,-2.7758706356233147083401,1.6672616062636114175888,\ +-0.0836705642425854267952,0.3278617890836109105557,-0.4784618803967296551960,\ +-1.5167866307363953026766,0.3278666902123760218402,1.4583399615307341967707,\ +0.1568728504489345088,0.8788327319516627822438,0.6503974594047504664829,\ +-1.2192475208695570110251,1.1760897921697979207067,-1.8443279857673484656289,\ +0.7800878370874437806037,-1.7143820612787801227483,-1.2442138561935551788196,\ +-0.5030865876060848229656,-0.7500891916411158710787,0.0131204357988426462828,\ +-1.3051873378120935065283,-0.4721103394959948462706,-1.08171405175402890464,\ +0.1772346225663179453136,0.0709726766378662859980,0.5997183167182360552516,\ +-0.7982542475055777186910,1.1146919091581586336304,-0.5226194052411643475864,\ +-0.3280122727754089528851,0.0845844607820355476324,-0.4076056231156577891461,\ +2.671024580732940023609,0.2751537532064078916960,0.6141628828811964702084,\ +-0.7694928564341785293124,1.5452838740749164081478,1.2047554263319388834219,\ +-0.4418728868867642933793,-2.3845314085200706166745,-0.4507303538478215632068,\ +-1.2843948816610906149549,0.6258568994217935665958,0.5221599455292258440409,\ +0.6881147826420792590341,-1.5350411433640571701176,-0.9627472135269001807245,\ +-0.5218069771892938080171,0.1257945676013507985136,-1.6629602539620385037722,\ +-0.1168122168368753571732,0.6319751771097191772597,0.0279680711838030011951,\ +-1.0789454333610759562134,-2.2539675570413915117740,0.0159524501831603895963,\ +0.7246005623822228125519,1.3584241656028799294376,0.1335331404272114830256,\ +0.8003059664568770159576,-1.5933335032689068810896,-0.2766963701941145270524,\ +-0.1259819476132254256751,-2.1871819624452908392698,-0.0027183437417650840526,\ +0.0895441283705892265843,-0.0655528187812533247314,0.0082181667448872272597,\ +-0.1292799439278431716804,0.8059814954561199673577,-1.0227158239595737221350,\ +-1.1728578375397291644333,0.3095622814458759419765,0.4085150016548139140227,\ +0.4376992889872045044974,3.0932123457325086945957,-0.2404500241757465406334,\ +-0.2553482065690487190501,1.0058683512127921666490,1.8395637792194936555035,\ +0.3411429898658094317376,-3.0536685582128435534344,-0.1095788307430261981912,\ +1.6414918920137913094237,-1.0744672373614887472826,1.5353378953533194373193,\ +-0.8528406784492137404641,-0.7422456212235352124296,0.1342811638770788351671,\ +-1.6549750406888592557664,-0.7256367869747750720677,-0.0862485588565954086615,\ +-0.0561038363580659213414,-0.0030846890449726638815,0.2539566584786872027735,\ +-2.255576969911772700073,-1.7353562843564334094992,1.4790955315931679781016,\ +-0.6277258320505759714436,-0.874734985447433444072,1.7535503835541961237254,\ +-0.8019918985373268860428,0.2826253943812546687298,0.9297345065408313402600,\ +-0.1628091770786383452041,-0.5361503318172788912221,-0.1559543394910963276523,\ +0.4214606760227143644748,1.9422068405845787086861,1.126122745997659491124,\ +-0.3806596390838080656849,0.2838150495409667017910,0.5356418000869134221631,\ +-0.8698259506453359657385,-1.4811954887734988250969,-0.6640101248288414748089,\ +-0.8768395331826340788339,0.1637943427647920169310,0.8023136616688257838348,\ +1.9190648920981443481537,-1.1659867862660415749332,0.9175250832331292016875,\ +-0.4629851548188154697350,1.1531379126231540155345,1.280357188491430875388,\ +0.8752030571429955108087,-1.80360898378670553299,0.5261137866109517613467,\ +0.0015036147858927245008,-0.9395126502065724860557,0.1254332133415215488892,\ +0.7981010350443900058792,-0.7787639258289269506008,-2.211373434923878722458,\ +0.4245313340753193442900,0.4777310697112210347015,-0.7091015173222630085803,\ +2.5269774755909995000991,-0.5189834616032670266961,0.7465455379507028865760,\ +1.6922232637382539355286,-0.7527036628439752741215,-0.1791091421294778995854,\ +-1.143803039940205490410,-0.3557089242818732288676,-2.5859928945830414903639,\ +-0.4620292997028574988327,2.1043646801028508264153,0.2700104378784371483846,\ +-0.5683100411735593215923,0.0576234736047250076241,-0.3494123351876678440497,\ +-0.6437179916333417573071,1.1183843932324186720706,-1.7070244497383502135790,\ +-0.5423910203569126675660,1.478528409100926088726,1.4635937207455358421981,\ +0.9926533118110351106012,-0.7069946768514858703725,-0.7247022468472048561949,\ +0.0958136359005943571976,-0.3502577985930430126693,-0.7552136456030923428173,\ +0.4974020403078212582137,-1.1482817888259779781635,-0.2861580091485689814057,\ +-0.5017215979538576231533,-0.6146143460074020570261,-0.8743941016318307335453,\ +0.6112858348465053381915,1.1276508199848169766710,-0.6796253617896085286176,\ +1.0967206821241466396799,0.3644470031679390431556,0.2076189090924974445240,\ +-0.5458105472995297136052,-0.0671640776881476525562,0.9301013215147568846675,\ +1.4191187165731935504454,1.9739542618337482249302} + +#define RESULT {0.8203796801888452172591,0.8816726743563225721090,0.9563213494741442666225,\ +0.5301548730715204271746,-0.5696350270974277485436,0.9992005409985472708101,\ +0.9471814588690369296486,0.9238058529293791121262,0.6197871850499613310959,\ +0.7608947481851529026642,0.8049874252319156875402,-0.1529046956055711559141,\ +0.3680890208730970281081,0.7838535385146575551474,0.5853059322813873865954,\ +0.7471992477828661716188,0.9982763577574981228580,0.7340210854728602685171,\ +-0.2384636600673788464633,-0.9338657938993391027793,-0.0963157386477964672089,\ +0.9965016599751398418405,0.9467330527147245211594,0.8877041448701339376726,\ +0.0539834417486552073373,0.9467314744445589624888,0.1122194864288899307514,\ +0.9877206673462950448084,0.6380503687973807513956,0.7958431986465404062159,\ +0.3443523016260275904088,0.3845373047091283913446,-0.2701334763293031793197,\ +0.7108517612540402597077,-0.1430928615933441672148,0.32080801483743826008,\ +0.8760985949432102959378,0.7316280694838999121288,0.9999139283169750092028,\ +0.2624969502467918158750,0.8906105597759395031687,0.4698159512131697135295,\ +0.9843350146218102780793,0.9974824965990314318276,0.8254946325091827574738,\ +0.6979579732366844035951,0.4404541009116093031039,0.8665146735535679267670,\ +0.9466845833195259851678,0.9964248667932769087940,0.9180726139212290748404,\ +-0.8913108719456435125039,0.9623834350402660220425,0.8172561425171237514675,\ +0.718263617781651042549,0.0255096851968806929978,0.3579214307842031317364,\ +0.903952340447022550940,-0.7268574491788566405148,0.9001291834726419249790,\ +0.2825020879048804056666,0.8104614523160890149356,0.8667439221341659560949,\ +0.7724446547102603588542,0.0357475654825572253248,0.5712673305171682702763,\ +0.8669199123046601451748,0.9920982915300309290529,-0.0920335062605047438122,\ +0.9931852073290609039802,0.8068622676403011118040,0.9996089189905136285219,\ +0.4722581851967700972139,-0.6312557202207959017315,0.9998727623649044105036,\ +0.7487642434889083542515,0.2107793581335721255776,0.9910976901702407415584,\ +0.6964871898378746095659,-0.0225352686591101247782,0.961963168947402524900,\ +0.992074764843193790398,-0.5780897184534614652307,0.9999963053059259809885,\ +0.9959936026023269439733,0.997852183268367110003,0.9999662310577351886920,\ +0.9916549805054094557377,0.6924034092861499622984,0.5210498486203913870440,\ +0.3875187390378670992952,0.9524670084743368514424,0.9177117455650365407394,\ +0.9057292314266010002655,-0.9988299011655918935304,0.9712309045685737496356,\ +0.9675754035185222257098,0.5353549836201899614352,-0.2655433409023978952312,\ +0.9423728774251888262725,-0.9961371662051550224248,0.9940022450449995661259,\ +-0.0706366921418750404182,0.4762007884740003804680,0.0354510015922323284965,\ +0.65784633984897000758,0.7369525027778347503471,0.9909978235616448971612,\ +-0.0840793332663393455650,0.7480769942249303472437,0.9962828981406220973938,\ +0.9984265925479938186271,0.9999952423505205079124,0.9679259470687455735316,\ +-0.632503122148043273043,-0.1638182491633654591645,0.0915723300147998908738,\ +0.8093652317898135661878,0.6412002458492904732879,-0.1817384524188947747536,\ +0.6952764275967198148720,0.9603265844478726664946,0.5980467860661466961147,\ +0.9867758355724630670025,0.8596815738538068352170,0.9878637498486452228619,\ +0.9124923605358673528443,-0.3629301323805959045288,0.4301632279198022157374,\ +0.9284197599136463363578,0.959994136496382766133,0.8599412360983218484023,\ +0.6449595684306472787028,0.0894809955848772375919,0.7875272110120042912129,\ +0.6395838526894777054110,0.9866156703762346547038,0.6950451267922697073942,\ +-0.3412708317791682266495,0.3938437014688686566011,0.6077873470346980555590,\ +0.8947232532371431901197,0.405621261011146261311,0.2863729991092465732017,\ +0.6408409897588510650834,-0.2307152077489570130009,0.8647651606784810818240,\ +0.9999988695715007480658,0.5901815182487093469632,0.9921435633684139165922,\ +0.6980676864202854936536,0.7117823002210422744795,-0.5976582378696937425389,\ +0.9112318735935986957486,0.8880403834946687391394,0.7589472311619362976387,\ +-0.8169954127513406882954,0.8683238289487801297994,0.7340391936884439472166,\ +-0.1211287602524158124595,0.7298432754851863490941,0.9840027922687679673430,\ +0.414135922956764768177,0.9373998379717353168772,-0.8495842484392269744475,\ +0.8951497493851807707443,-0.5086089166239101677647,0.9637681122030780089815,\ +0.8428117284541520870533,0.9983402269892645009008,0.9395740596053013815592,\ +0.7998698514817192961601,0.4371360854041511645462,-0.1358071578606558360569,\ +0.8564769211630707257399,0.0921370549444396474970,0.1069973881579713986811,\ +0.5464696941763740323239,0.7603174194154225240538,0.7486968394521967828936,\ +0.9954133840567818136691,0.9392842830606296100626,0.7281251176521188472890,\ +0.8788251271401545938744,0.4100551583355765972172,0.9593354263834207307227,\ +0.8767558837388640391453,0.8169958925140410332943,0.6414617938312918710153,\ +0.8189107275146941811172,0.4287832557249183773607,0.7778082340710044118026,\ +0.4565162294470550552461,0.9343210101535780465198,0.9785245037094734144034,\ +0.8547068075395470865274,0.9977453410917197507146,0.5977527578720709389160,\ +0.1510966938752993093953,-0.3923250465140346587845} + +#define ZSOURCER {0.8652785065984375245662,-1.3368838685782120645484,1.6264408224927449087005,\ +-1.8690897079220740728545,0.9951518628175756164822,-1.688893672224414332916,\ +-0.7497508971113807652031,0.8268999681758193442960,2.2753757356206412154620,\ +-0.3872960166494098244172,-0.0799160908491712979052,-0.1884631346495315440404,\ +0.2094439405660133701748,0.3401928613448036986533,-1.2494684410199645707706,\ +-0.2979401746978811993394,-0.5157853813810977516852,0.7932915899466403963913,\ +1.5620570356415210966361,-0.844359823617092053460,-1.0437648196696975855247,\ +1.932990034770735388037,0.1853438341489616059121,-0.9962801836788344189699,\ +-0.5388351087532706751304,0.6070505636662814064053,1.5888625026588754085566,\ +0.2617832537783132407228,1.1970490473872079650874,0.12578128394682370,\ +1.39770280807620150831,0.2099988595145213798876,0.3421775699723230701466,\ +-1.8782261453279518459425,-0.6664189835307311460255,0.8127373993936040097452,\ +0.3767873922208855863580,-0.6374952135371538819442,-0.974468710244571822976,\ +-0.6722228555627711710230,0.8585099013504803311392,0.2446046980188737729467,\ +-0.9043973313471151964649,0.1358880163960933251666,-0.7695067786636404782996,\ +-0.8938327489087023458580,-1.9114553148531847615033,1.0171770494404650531095,\ +0.1835886481619793952902,-0.3163377812153213564095,-0.9195862784206330076131,\ +-0.1072018571251609070361,-1.7348283435296543153470,-1.0280015900042309695550,\ +-0.1045837022850216735392,-1.5256722999247080974072,1.1084725864612092749439,\ +0.6805135215035358342561,1.6689686098271181435848,0.2989927467898484958475,\ +-0.5006434061857586437227,0.7116857998261418849495,0.2485278541920327155523,\ +-0.6900291112600369647367,-0.6267355965803992345897,-0.4282667464892624953343,\ +-0.7336468298863978443336,-0.3574021092257179676999,0.2860336762162377644003,\ +1.1425687805503488281289,0.6919758815746888114262,0.8010668577124011591195,\ +1.7767980155474207837329,0.197833004692656910795,-1.8362538605563030191803,\ +0.3869279168511000066566,0.5325960336459322208569,0.0883113910959548165103,\ +-2.6418732644466236259007,-0.6564988101863107328171,-0.5566003466732061255584,\ +-1.479779603028395396080,0.1430519638431400619716,0.4320971393139262928251,\ +-0.3181852113191626640898,0.5371570151959671468589,1.4535234978041589037900,\ +0.3101271616559506116850,-1.340732344843439172166,2.060471964067395411746,\ +-0.0787601433757613156317,-1.0771984898755455617447,0.5648344207720079612756,\ +-0.3508614616179664413842,-0.9690830277765453137917,0.5156195652795886319453,\ 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+-2.2467727407263837768880,0.5311634003342166066020,0.0127028917577170375602,\ +1.4336465735979566638036,1.140130846486164140074,0.7078292602873598182711,\ +0.6419172762011019495176,-0.7752020495699509794463,-0.2227250211522007472542,\ +0.1418062472773869153730,0.3461143754334283229035,0.9346610138588777871860,\ +-1.1766714696487656777180,-1.155321545637316260624,-1.0348373990480448370022,\ +-0.4377198927182634480282,0.5342901632756290597470} + +#define ZRESULTR {0.6603968316049805276080,0.2592621892570787789367,-0.3318454617138371642859,\ +-0.2997813790812504652905,0.5587163403231363290047,-0.1189561420345783687713,\ +0.7381324458324397541631,2.142136719995466176414,-1.3458078751828295160919,\ +1.3129764303388649082649,3.3523257180963095258619,1.2630048090441925445759,\ +1.6535623505413692413413,1.0844508507590295831591,0.4550473771130031930277,\ +0.9621269818830543441024,1.013062998048058771516,0.9256575460351638140466,\ +0.0102887155976816024872,0.6668255580964917994535,1.0432946799591633624260,\ +-0.4668000327046901709593,4.4102457143090099123128,0.6767097030615227826189,\ +9.8624279257033951040512,0.9672974379596046556884,-0.0208338391589294388839,\ +1.0307881917288705952984,0.5404196044618572170037,1.5733521090107187578866,\ +0.4580812522816201659559,5.0350486020971887413111,1.2277369531593618212639,\ +-0.8994082908263842934815,0.8177424613018864363312,0.7782283917530580241717,\ +1.8099404305650070856615,0.8082102149385829159556,0.5629089875114635654896,\ +1.4748501127652635656062,0.6669768846821123586821,1.699726699407153374111,\ +1.298577834389474938703,0.9945484939786765066216,0.7581576733086236030701,\ +0.8456096567246286221931,-0.4135520032774342991111,0.5435636589621466452371,\ +1.810248147243165517395,1.4551350063240526822028,1.4924370356604863552263,\ +2.0000431078502241000194,-0.1972543510483453221838,0.5590324784918681011447,\ +2.068372118994307395923,0.0835345805491203158288,0.4460902185747692705320,\ +0.8645923158579836842463,-0.1111931823350623821378,1.8617144830169030100819,\ +1.02983082411914805832,0.7572686801513547338871,1.0567502136654132183224,\ +0.8128189945963255613748,0.8399378223031567225476,1.4017511305320988768131,\ +2.956644273924759147576,1.132754400798835492381,1.265693867178816711672,\ +0.5610629520868651853860,0.8055306977755860575741,0.9213852223586275203004,\ +-0.4199962882323669544071,0.9807673830270958736932,-0.3590470367287647013299,\ +1.2420524197984359471292,1.6706050779946230999684,1.6747789118158156185245,\ +-2.16927668845889520810,0.8261050353521025568782,1.3826822282594428692448,\ +0.1727680624199215975167,9.057823043102500193413,0.9457668311290795548629,\ +1.833812877114292083647,0.8940453644463330906689,0.2341249670166324903242,\ +1.363576337757532064288,0.7162232362688260023376,-0.7845189065148089335722,\ 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+-0.8189305685602711326609,1.5345662883929571673747,1.7188713168135731912400,\ +0.4555641729620423796554,1.273008943337736509349,0.4560137683691281029752,\ +1.1053164018215166919390,-0.9060167575034622222674,1.0910838839542402745053,\ +-0.9695473009615381831949,2.7466955042474223702698,1.4261078323829836644876,\ +2.297318046615583586600,0.8629928731306283351543,1.2099030156571450866920,\ +0.5606054313387058840590,0.8663522170995916482639,1.8289146898108739058841,\ +0.7647265415048952741373,0.6847484857113015355168,1.0021685183539132957264,\ +1.3866261204365910586489,0.1714987437851132057176,0.9918063704778133926609,\ +-0.8398571556569223162114,1.624536447087556512159,1.17576217917109437927,\ +0.7155426268638502840247,1.1625689563760244205071,0.6145684296686997338810,\ +0.1028453801776162412907,0.8392286126386587774562,1.4202930257299617444744,\ +0.7599315975784372012569,1.74429364867563263530,0.4552293130713663815712,\ +0.4842614797058485409664,-0.759839135565466450295} + +#define ZRESULTI {-0.146941580724984616202,0.4874941601771347610139,-5.8732506000776529830887,\ +-0.1923557391894928081388,-0.1938092227520436805488,0.1380525220047903456333,\ +-0.0894197912409416678647,-2.2083871916990625017263,1.38762940282270652581,\ +-0.379707247416236348680,0.2563331150684992620903,-0.1514182976925468326890,\ +-0.2833925825567581990860,-0.1897432487381172094842,0.9841855659814751078329,\ +0.0334435644614089755411,0.2943712296517632109882,-0.6135431940236653058918,\ +-0.6213108038265401367184,0.0664065988188502348555,1.5707022449109617756591,\ +0.8020378110570226537490,0.8061058304221635495423,-0.6229364595259883063960,\ +5.873854580840536243613,0.3548772564844954735541,0.5743671991358663131422,\ +-0.0964195772855189620065,-1.015948375800173053563,0.1544112964905340057431,\ +-2.427720301875694985938,-1.0527358981959802353146,-0.2804463002040958885530,\ +-2.667664304679369102757,-0.1773304122311009645152,0.3851475525760940099573,\ +-0.6144403782537597447089,-0.0639215126270850642065,0.0563572709924226103451,\ +0.9949983775946195097006,-0.1541120072724549983079,0.3483472405495082191429,\ +-1.4521802331617248427165,0.0118245383836800051908,0.2351284238449595775933,\ +0.7067939417094389886742,0.6875306193270583898780,-0.2231728770983253673510,\ +0.2822282491943420845715,-0.3606863345205877369182,-1.789492973412827536706,\ +0.1867542931864467348202,-0.6684973125435003105110,-0.3544323112754915183764,\ +0.1903651481757896168912,-1.5570503331148395353978,0.0148172477875626266292,\ +-0.3065501441038122609761,-0.5331323204569118345830,0.4924734236714592428008,\ +-0.2951210995789439461845,-0.0027560721209946860942,-0.1068344484336290478588,\ +-0.2118570413928013151939,-0.1610793407630224660654,0.4868738628243398092188,\ +-2.579960937463402714798,0.2378086541486917060428,-0.2428029308169650513083,\ +-0.8265359232776167131007,-0.1960976284506159017518,-0.6230605514253650945022,\ +-1.755406116186124965139,-0.0046349019875992188491,0.9016172621635419881514,\ +0.3372605888766848636351,-0.8436494304870341132130,-0.1192082555849750258314,\ +1.0830200228715931576318,0.1806566116072005345750,0.6790264707808069122308,\ +1.609828137915977341876,1.2968382390971706641380,0.1218796661012466753249,\ +-0.5166846594494688416077,-0.1472753279361777856149,1.7212963380251158351797,\ +-0.3127599294310591804269,-2.89888504993117113173,1.1780998114195078141364,\ +-0.0361775267207019371463,0.5456053298268405127303,0.4123679880285295307196,\ +0.0659019050150095875296,-0.4713866341281334748636,0.9028599597514885832794,\ +-0.3674007976866919822356,-1.2146233237644410429823,-0.2198736582857065691154,\ +-0.8094828887322721433506,-0.0706994284778254822310,-0.2230241649514515533959,\ +-0.5643984283124198197967,-0.0164146852495472492239,-1.3391611472776376867699,\ +0.1376079760459386902571,0.1047929421413649753170,-0.1533297870650806860038,\ +0.1966501815957944765412,-0.7921571860524847519258,0.5604745942609183906313,\ +0.1489022072975806909589,-1.8902500881495403195487,-0.0621612461401919516590,\ +0.0270260228763795351536,-0.1072348104191992446133,0.4697601544599027123539,\ +0.0124466007411300864927,1.0036512376933612866736,-1.049412060795365198018,\ +0.6666269392002136529030,2.010144371510963257066,1.2757551800142050701936,\ +-0.1634497680436179101182,0.0805305413426501415231,-0.1208519512813724661182,\ +0.0144424770778995917309,2.8348773781599185817015,-0.2949185744370810824400,\ +-0.7818376664535492404084,0.5616872313168002062156,-0.5124110438039969350754,\ +-0.9747306641614861266731,0.0065779403553887496811,-0.205370183808804979142,\ +-0.269054670595636091779,-0.3938808526857590086578,-0.0634893958645683514908,\ +-3.0489600352607997280074,2.072697136598120604134,-0.0161438616695122189038,\ +-0.6420425137334005993850,-0.144832386550082847787,1.3961681016866522853093,\ +1.534869934827646220654,-0.2242019675630647912445,-0.5795004710241905554469,\ +3.3483419852888491874410,0.0991308462877908275201,-0.0425076535895645771235,\ +1.309216767461068409162,0.7684601350295457988793,0.2535070961278987344834,\ +-0.3156127379694732559834,-0.278872470151356244283,-0.3161734445550384298151,\ +-0.106765701893629952335,-4.6100082079818358593570,0.0493978828262259944681,\ +-0.4363059774746961272385,0.3760761368145200678192,-1.4011279329067940491171,\ +0.1037666142610354780285,-0.5844725415055048722834,-0.6033334328120393275086,\ +-1.1866522252940947534938,-0.2666075239397875384917,0.4100487177769164826024,\ +-1.570972740050773142073,2.0165334475753500242945,0.9815781508770222707483,\ +0.3701172711568467832421,0.5330671903876023076663,-0.4865756887562372456912,\ +-0.7719024118076073248673,-0.101927682205751976574,-0.6886382760934363078675,\ +-0.4533487312581489514507,0.4994598581237761347751,-0.2054810163364952091403,\ +0.4584447177031794051771,-0.7868410449880314239124,-0.0043750939988532102504,\ +4.4747804523350742655907,-0.5502105833706960602569,0.0016307130557308498371,\ +1.83024619927524345719,-0.4687597592810309743427,-0.2779394557997144632466,\ +-0.5547224826362566751925,0.400556327585974369931,-0.1797184375596841132694,\ +-0.1415425280521077078255,-0.2158502978608074218680,0.2764160437046866980459,\ +1.326476685000083532984,0.0406909700160508550071,-1.1778701919064038516893,\ +-0.4054547584096580559176,0.419311934137157338309} + + +void dcossTest(void) { + double in[]=SOURCE; + double res[]=RESULT; + double out; + int i; + + for (i=0;i<200;i++){ + out=dcoss(in[i]); + assert(( (fabs(out-res[i]))/(fabs(out)) )<3e-16); + } +} + +void zcossTest(void) { + double inR[]=ZSOURCER; + double inI[]=ZSOURCEI; + double resR[]=ZRESULTR; + double resI[]=ZRESULTI; + doubleComplex in,out; + int i; + + for (i=0;i<200;i++){ + in=DoubleComplex(inR[i],inI[i]); + out=zcoss(in); + assert( fabs(zreals(out)-resR[i]) < 3e-15); + assert( fabs(zimags(out)-resI[i]) < 3e-15); + } +} + +void dcosaTest(void) { + double in[]=SOURCE; + double res[]=RESULT; + double out[200]; + int i; + + dcosa(in,200,out); + for (i=0;i<200;i++){ + assert( fabs(out[i]-res[i]) < 1e-15); + } +} + +void zcosaTest(void) { + double inR[]=ZSOURCER; + double inI[]=ZSOURCEI; + double resR[]=ZRESULTR; + double resI[]=ZRESULTI; + doubleComplex in[200],out[200]; + int i; + + for (i=0;i<200;i++){ + in[i]=DoubleComplex(inR[i],inI[i]); + } + zcosa(in,200,out); + for (i=0;i<200;i++){ + assert( fabs(zreals(out[i])-resR[i]) < 3e-14); + assert( fabs(zimags(out[i])-resI[i]) < 3e-14); + } +} + + + +int testCos(void) { + printf("\n>>>> Double Cosine Tests\n"); + dcossTest(); + zcossTest(); + dcosaTest(); + zcosaTest(); + return 0; +} + +int main(void) { + assert(testCos() == 0); + return 0; +} diff --git a/2.3-1/src/c/elementaryFunctions/cos/testFloatCos.c b/2.3-1/src/c/elementaryFunctions/cos/testFloatCos.c new file mode 100644 index 00000000..98353b3d --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/cos/testFloatCos.c @@ -0,0 +1,494 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "testCos.h" + +#define SOURCE {0.6087216374946681218816f,-0.4914009399790010834685f,0.2966492127240239473629f,\ +-1.0120131171793795843428f,-2.1768580524449996360659f,0.0399891371904198267284f,\ +0.3264664449949340463419f,0.3928915710000103755917f,-0.9023248339668938911018f,\ +-0.7061054028011619632110f,0.6351420537982425118528f,1.7243031942788638044561f,\ +-1.193843423508647916265f,-0.6699486724870092890782f,0.9455390047179551560319f,\ +-0.7269584830448905243827f,0.0587220167793607444873f,0.7465722023081590164040f,\ +-1.8115798920517958148224f,-2.7758706356233147083401f,1.6672616062636114175888f,\ +-0.0836705642425854267952f,0.3278617890836109105557f,-0.4784618803967296551960f,\ +-1.5167866307363953026766f,0.3278666902123760218402f,1.4583399615307341967707f,\ +0.1568728504489345088f,0.8788327319516627822438f,0.6503974594047504664829f,\ +-1.2192475208695570110251f,1.1760897921697979207067f,-1.8443279857673484656289f,\ +0.7800878370874437806037f,-1.7143820612787801227483f,-1.2442138561935551788196f,\ +-0.5030865876060848229656f,-0.7500891916411158710787f,0.0131204357988426462828f,\ +-1.3051873378120935065283f,-0.4721103394959948462706f,-1.08171405175402890464f,\ +0.1772346225663179453136f,0.0709726766378662859980f,0.5997183167182360552516f,\ +-0.7982542475055777186910f,1.1146919091581586336304f,-0.5226194052411643475864f,\ +-0.3280122727754089528851f,0.0845844607820355476324f,-0.4076056231156577891461f,\ +2.671024580732940023609f,0.2751537532064078916960f,0.6141628828811964702084f,\ +-0.7694928564341785293124f,1.5452838740749164081478f,1.2047554263319388834219f,\ +-0.4418728868867642933793f,-2.3845314085200706166745f,-0.4507303538478215632068f,\ +-1.2843948816610906149549f,0.6258568994217935665958f,0.5221599455292258440409f,\ +0.6881147826420792590341f,-1.5350411433640571701176f,-0.9627472135269001807245f,\ +-0.5218069771892938080171f,0.1257945676013507985136f,-1.6629602539620385037722f,\ +-0.1168122168368753571732f,0.6319751771097191772597f,0.0279680711838030011951f,\ +-1.0789454333610759562134f,-2.2539675570413915117740f,0.0159524501831603895963f,\ +0.7246005623822228125519f,1.3584241656028799294376f,0.1335331404272114830256f,\ +0.8003059664568770159576f,-1.5933335032689068810896f,-0.2766963701941145270524f,\ +-0.1259819476132254256751f,-2.1871819624452908392698f,-0.0027183437417650840526f,\ +0.0895441283705892265843f,-0.0655528187812533247314f,0.0082181667448872272597f,\ +-0.1292799439278431716804f,0.8059814954561199673577f,-1.0227158239595737221350f,\ +-1.1728578375397291644333f,0.3095622814458759419765f,0.4085150016548139140227f,\ +0.4376992889872045044974f,3.0932123457325086945957f,-0.2404500241757465406334f,\ +-0.2553482065690487190501f,1.0058683512127921666490f,1.8395637792194936555035f,\ +0.3411429898658094317376f,-3.0536685582128435534344f,-0.1095788307430261981912f,\ +1.6414918920137913094237f,-1.0744672373614887472826f,1.5353378953533194373193f,\ +-0.8528406784492137404641f,-0.7422456212235352124296f,0.1342811638770788351671f,\ +-1.6549750406888592557664f,-0.7256367869747750720677f,-0.0862485588565954086615f,\ +-0.0561038363580659213414f,-0.0030846890449726638815f,0.2539566584786872027735f,\ +-2.255576969911772700073f,-1.7353562843564334094992f,1.4790955315931679781016f,\ +-0.6277258320505759714436f,-0.874734985447433444072f,1.7535503835541961237254f,\ +-0.8019918985373268860428f,0.2826253943812546687298f,0.9297345065408313402600f,\ +-0.1628091770786383452041f,-0.5361503318172788912221f,-0.1559543394910963276523f,\ +0.4214606760227143644748f,1.9422068405845787086861f,1.126122745997659491124f,\ +-0.3806596390838080656849f,0.2838150495409667017910f,0.5356418000869134221631f,\ +-0.8698259506453359657385f,-1.4811954887734988250969f,-0.6640101248288414748089f,\ +-0.8768395331826340788339f,0.1637943427647920169310f,0.8023136616688257838348f,\ +1.9190648920981443481537f,-1.1659867862660415749332f,0.9175250832331292016875f,\ +-0.4629851548188154697350f,1.1531379126231540155345f,1.280357188491430875388f,\ +0.8752030571429955108087f,-1.80360898378670553299f,0.5261137866109517613467f,\ +0.0015036147858927245008f,-0.9395126502065724860557f,0.1254332133415215488892f,\ +0.7981010350443900058792f,-0.7787639258289269506008f,-2.211373434923878722458f,\ +0.4245313340753193442900f,0.4777310697112210347015f,-0.7091015173222630085803f,\ +2.5269774755909995000991f,-0.5189834616032670266961f,0.7465455379507028865760f,\ +1.6922232637382539355286f,-0.7527036628439752741215f,-0.1791091421294778995854f,\ +-1.143803039940205490410f,-0.3557089242818732288676f,-2.5859928945830414903639f,\ +-0.4620292997028574988327f,2.1043646801028508264153f,0.2700104378784371483846f,\ +-0.5683100411735593215923f,0.0576234736047250076241f,-0.3494123351876678440497f,\ +-0.6437179916333417573071f,1.1183843932324186720706f,-1.7070244497383502135790f,\ +-0.5423910203569126675660f,1.478528409100926088726f,1.4635937207455358421981f,\ +0.9926533118110351106012f,-0.7069946768514858703725f,-0.7247022468472048561949f,\ +0.0958136359005943571976f,-0.3502577985930430126693f,-0.7552136456030923428173f,\ +0.4974020403078212582137f,-1.1482817888259779781635f,-0.2861580091485689814057f,\ +-0.5017215979538576231533f,-0.6146143460074020570261f,-0.8743941016318307335453f,\ +0.6112858348465053381915f,1.1276508199848169766710f,-0.6796253617896085286176f,\ +1.0967206821241466396799f,0.3644470031679390431556f,0.2076189090924974445240f,\ +-0.5458105472995297136052f,-0.0671640776881476525562f,0.9301013215147568846675f,\ +1.4191187165731935504454f,1.9739542618337482249302f} + +#define RESULT {0.8203796801888452172591f,0.8816726743563225721090f,0.9563213494741442666225f,\ +0.5301548730715204271746f,-0.5696350270974277485436f,0.9992005409985472708101f,\ +0.9471814588690369296486f,0.9238058529293791121262f,0.6197871850499613310959f,\ +0.7608947481851529026642f,0.8049874252319156875402f,-0.1529046956055711559141f,\ +0.3680890208730970281081f,0.7838535385146575551474f,0.5853059322813873865954f,\ +0.7471992477828661716188f,0.9982763577574981228580f,0.7340210854728602685171f,\ +-0.2384636600673788464633f,-0.9338657938993391027793f,-0.0963157386477964672089f,\ +0.9965016599751398418405f,0.9467330527147245211594f,0.8877041448701339376726f,\ +0.0539834417486552073373f,0.9467314744445589624888f,0.1122194864288899307514f,\ +0.9877206673462950448084f,0.6380503687973807513956f,0.7958431986465404062159f,\ +0.3443523016260275904088f,0.3845373047091283913446f,-0.2701334763293031793197f,\ +0.7108517612540402597077f,-0.1430928615933441672148f,0.32080801483743826008f,\ +0.8760985949432102959378f,0.7316280694838999121288f,0.9999139283169750092028f,\ +0.2624969502467918158750f,0.8906105597759395031687f,0.4698159512131697135295f,\ +0.9843350146218102780793f,0.9974824965990314318276f,0.8254946325091827574738f,\ +0.6979579732366844035951f,0.4404541009116093031039f,0.8665146735535679267670f,\ +0.9466845833195259851678f,0.9964248667932769087940f,0.9180726139212290748404f,\ +-0.8913108719456435125039f,0.9623834350402660220425f,0.8172561425171237514675f,\ +0.718263617781651042549f,0.0255096851968806929978f,0.3579214307842031317364f,\ +0.903952340447022550940f,-0.7268574491788566405148f,0.9001291834726419249790f,\ +0.2825020879048804056666f,0.8104614523160890149356f,0.8667439221341659560949f,\ +0.7724446547102603588542f,0.0357475654825572253248f,0.5712673305171682702763f,\ +0.8669199123046601451748f,0.9920982915300309290529f,-0.0920335062605047438122f,\ +0.9931852073290609039802f,0.8068622676403011118040f,0.9996089189905136285219f,\ +0.4722581851967700972139f,-0.6312557202207959017315f,0.9998727623649044105036f,\ +0.7487642434889083542515f,0.2107793581335721255776f,0.9910976901702407415584f,\ +0.6964871898378746095659f,-0.0225352686591101247782f,0.961963168947402524900f,\ +0.992074764843193790398f,-0.5780897184534614652307f,0.9999963053059259809885f,\ +0.9959936026023269439733f,0.997852183268367110003f,0.9999662310577351886920f,\ +0.9916549805054094557377f,0.6924034092861499622984f,0.5210498486203913870440f,\ +0.3875187390378670992952f,0.9524670084743368514424f,0.9177117455650365407394f,\ +0.9057292314266010002655f,-0.9988299011655918935304f,0.9712309045685737496356f,\ +0.9675754035185222257098f,0.5353549836201899614352f,-0.2655433409023978952312f,\ +0.9423728774251888262725f,-0.9961371662051550224248f,0.9940022450449995661259f,\ +-0.0706366921418750404182f,0.4762007884740003804680f,0.0354510015922323284965f,\ +0.65784633984897000758f,0.7369525027778347503471f,0.9909978235616448971612f,\ +-0.0840793332663393455650f,0.7480769942249303472437f,0.9962828981406220973938f,\ +0.9984265925479938186271f,0.9999952423505205079124f,0.9679259470687455735316f,\ +-0.632503122148043273043f,-0.1638182491633654591645f,0.0915723300147998908738f,\ +0.8093652317898135661878f,0.6412002458492904732879f,-0.1817384524188947747536f,\ +0.6952764275967198148720f,0.9603265844478726664946f,0.5980467860661466961147f,\ +0.9867758355724630670025f,0.8596815738538068352170f,0.9878637498486452228619f,\ +0.9124923605358673528443f,-0.3629301323805959045288f,0.4301632279198022157374f,\ +0.9284197599136463363578f,0.959994136496382766133f,0.8599412360983218484023f,\ +0.6449595684306472787028f,0.0894809955848772375919f,0.7875272110120042912129f,\ +0.6395838526894777054110f,0.9866156703762346547038f,0.6950451267922697073942f,\ +-0.3412708317791682266495f,0.3938437014688686566011f,0.6077873470346980555590f,\ +0.8947232532371431901197f,0.405621261011146261311f,0.2863729991092465732017f,\ +0.6408409897588510650834f,-0.2307152077489570130009f,0.8647651606784810818240f,\ +0.9999988695715007480658f,0.5901815182487093469632f,0.9921435633684139165922f,\ +0.6980676864202854936536f,0.7117823002210422744795f,-0.5976582378696937425389f,\ +0.9112318735935986957486f,0.8880403834946687391394f,0.7589472311619362976387f,\ +-0.8169954127513406882954f,0.8683238289487801297994f,0.7340391936884439472166f,\ +-0.1211287602524158124595f,0.7298432754851863490941f,0.9840027922687679673430f,\ +0.414135922956764768177f,0.9373998379717353168772f,-0.8495842484392269744475f,\ +0.8951497493851807707443f,-0.5086089166239101677647f,0.9637681122030780089815f,\ +0.8428117284541520870533f,0.9983402269892645009008f,0.9395740596053013815592f,\ +0.7998698514817192961601f,0.4371360854041511645462f,-0.1358071578606558360569f,\ +0.8564769211630707257399f,0.0921370549444396474970f,0.1069973881579713986811f,\ +0.5464696941763740323239f,0.7603174194154225240538f,0.7486968394521967828936f,\ +0.9954133840567818136691f,0.9392842830606296100626f,0.7281251176521188472890f,\ +0.8788251271401545938744f,0.4100551583355765972172f,0.9593354263834207307227f,\ +0.8767558837388640391453f,0.8169958925140410332943f,0.6414617938312918710153f,\ +0.8189107275146941811172f,0.4287832557249183773607f,0.7778082340710044118026f,\ +0.4565162294470550552461f,0.9343210101535780465198f,0.9785245037094734144034f,\ +0.8547068075395470865274f,0.9977453410917197507146f,0.5977527578720709389160f,\ +0.1510966938752993093953f,-0.3923250465140346587845f} + +#define CSOURCER {0.8652785065984375245662f,-1.3368838685782120645484f,1.6264408224927449087005f,\ +-1.8690897079220740728545f,0.9951518628175756164822f,-1.688893672224414332916f,\ +-0.7497508971113807652031f,0.8268999681758193442960f,2.2753757356206412154620f,\ +-0.3872960166494098244172f,-0.0799160908491712979052f,-0.1884631346495315440404f,\ +0.2094439405660133701748f,0.3401928613448036986533f,-1.2494684410199645707706f,\ +-0.2979401746978811993394f,-0.5157853813810977516852f,0.7932915899466403963913f,\ +1.5620570356415210966361f,-0.844359823617092053460f,-1.0437648196696975855247f,\ +1.932990034770735388037f,0.1853438341489616059121f,-0.9962801836788344189699f,\ +-0.5388351087532706751304f,0.6070505636662814064053f,1.5888625026588754085566f,\ +0.2617832537783132407228f,1.1970490473872079650874f,0.12578128394682370f,\ +1.39770280807620150831f,0.2099988595145213798876f,0.3421775699723230701466f,\ +-1.8782261453279518459425f,-0.6664189835307311460255f,0.8127373993936040097452f,\ +0.3767873922208855863580f,-0.6374952135371538819442f,-0.974468710244571822976f,\ +-0.6722228555627711710230f,0.8585099013504803311392f,0.2446046980188737729467f,\ +-0.9043973313471151964649f,0.1358880163960933251666f,-0.7695067786636404782996f,\ +-0.8938327489087023458580f,-1.9114553148531847615033f,1.0171770494404650531095f,\ +0.1835886481619793952902f,-0.3163377812153213564095f,-0.9195862784206330076131f,\ +-0.1072018571251609070361f,-1.7348283435296543153470f,-1.0280015900042309695550f,\ +-0.1045837022850216735392f,-1.5256722999247080974072f,1.1084725864612092749439f,\ +0.6805135215035358342561f,1.6689686098271181435848f,0.2989927467898484958475f,\ +-0.5006434061857586437227f,0.7116857998261418849495f,0.2485278541920327155523f,\ +-0.6900291112600369647367f,-0.6267355965803992345897f,-0.4282667464892624953343f,\ +-0.7336468298863978443336f,-0.3574021092257179676999f,0.2860336762162377644003f,\ +1.1425687805503488281289f,0.6919758815746888114262f,0.8010668577124011591195f,\ +1.7767980155474207837329f,0.197833004692656910795f,-1.8362538605563030191803f,\ +0.3869279168511000066566f,0.5325960336459322208569f,0.0883113910959548165103f,\ +-2.6418732644466236259007f,-0.6564988101863107328171f,-0.5566003466732061255584f,\ +-1.479779603028395396080f,0.1430519638431400619716f,0.4320971393139262928251f,\ +-0.3181852113191626640898f,0.5371570151959671468589f,1.4535234978041589037900f,\ +0.3101271616559506116850f,-1.340732344843439172166f,2.060471964067395411746f,\ +-0.0787601433757613156317f,-1.0771984898755455617447f,0.5648344207720079612756f,\ +-0.3508614616179664413842f,-0.9690830277765453137917f,0.5156195652795886319453f,\ +-0.5293387239139798472465f,-0.9571359764302782568990f,-0.2269082544310593585468f,\ +0.4895059752188103407988f,-0.2522128725839323237778f,-1.4975804078553673903684f,\ +-0.1603766798935232218426f,0.1464267186008629817451f,2.1615853347433549025425f,\ +0.0399126120226646896594f,-0.5544284809990485118902f,0.5328414558183197646812f,\ +0.3907850242802237139550f,-0.3787774013072854883966f,0.8417359908290755754479f,\ +0.3176700186731257757877f,1.592244506660871694592f,-0.9951932381029318097632f,\ +0.0410951006109449151760f,-0.5188832355843150390129f,-0.4767385649438746209050f,\ +-0.3777777846485093071749f,0.7910209775449256186519f,-0.7086741723196363640369f,\ +-2.3537808974280172158444f,0.3583714955858253170540f,-2.508952017613233387294f,\ +2.087806522953977506063f,0.2382312089001768218299f,1.9833918106929020463980f,\ +-2.167582574594525635092f,-1.401225926702102553278f,0.4640426253451597760069f,\ +-0.3076759844353880168910f,-0.7615259380675128975113f,-1.1385700743993105721330f,\ +-0.4270402705994392755784f,-0.0367498239842839885538f,-0.9128849844856976591956f,\ +-1.9549432857416617626001f,-0.8811112725878604834406f,2.9821802878266292502474f,\ +-1.7022507648063245344616f,1.2487885639051212738337f,0.0676735499770482057391f,\ +-0.2367248998667950132813f,-0.5285347231086527930444f,0.7141648125067473484862f,\ +-0.5878970571029352720771f,-1.1459325979718588683909f,0.4680548872241794833293f,\ +-0.6843012596069305564228f,0.5355357649056337043803f,0.1540760632792411710668f,\ +-0.6157450195036280327088f,-1.41787024661118454816f,-0.4570344170862304378211f,\ +-0.1411796126420029884319f,-0.6614438004746325816541f,1.5436797442842080663183f,\ +-0.0655012358215935341921f,-1.0114218055676069685234f,0.1895887411932805077797f,\ +-1.2984646974992717360919f,-0.5015613008687210827574f,-1.162209366222186623929f,\ +-2.509167640329787563047f,-0.4405707024000362626026f,-0.3943332184880063984167f,\ +1.2805404560028668115024f,-0.3061569333239507750832f,-1.1420665340809226240282f,\ +1.0167026164121319986577f,1.958453071130288769552f,-0.8471715882458593638304f,\ +2.5258191429986913689731f,-0.2048087265120654143491f,-0.4182027716366760183853f,\ +-0.3527210857802417498519f,-0.5595241893671244470809f,-0.6478265699785845654901f,\ +-1.0507861982209916185127f,0.7848448646063929112771f,-0.1328983392812562724927f,\ +-0.8579290931640745077047f,-1.0403775604411991118070f,-0.0520608986196072903718f,\ +1.276568442453563045902f,1.4203725991168176800983f,-0.1287251249804796937592f,\ +-1.959471210760952208929f,0.3404865901494299462726f,0.3700863012564228338164f,\ +0.9399888255640819201275f,0.4874471402488251836616f,-0.9277526481559981164082f,\ +1.4687996535197915815019f,0.6577767757776173951356f,-0.2596038157216366548674f,\ +1.1286217610308955094922f,0.0284581900701165874112f,-1.2794761544488175708523f,\ +-1.1137434890242723373177f,-2.2955389951107569856958f} + +#define CSOURCEI {0.1918412521642277324130f,0.4822328106056159024995f,2.4722523083922975928317f,\ +-0.1999085627658134245443f,0.2290361675784305939274f,0.1385769022152809337722f,\ +-0.1308449665803144978948f,1.8188246235702238973175f,-1.360744719214450615397f,\ +-0.8851525561710794631765f,1.8831231089443882797951f,-0.7390687967111120304509f,\ +1.1162950684058663419762f,0.5417636328738030249141f,0.9074880499974204983715f,\ +0.1136822955664789497332f,0.5661113725007503871822f,0.7795296942845783005893f,\ +0.5870328147250098993482f,0.0887163653774847987821f,1.3588131422838234385608f,\ +-0.7770801239208607880116f,-2.1816983571681287656929f,-0.6867928574771322569603f,\ +3.132774112529277399375f,-0.5876856927977032185595f,-0.5468023513790022383f,\ +0.3644381766801820243806f,0.9444714440193706650462f,-1.0355805625638589972937f,\ +1.6339838311734231623973f,2.3222150378340997711746f,0.7603859366849585743608f,\ +-1.7528561088374936538514f,-0.2830657824851525727894f,-0.5082187590533610022092f,\ +1.2854936372804377509027f,-0.1071924175739472628877f,0.0680608377011317072780f,\ +1.2478214718780462622050f,0.2022362844423137018257f,-1.1601145695370460586560f,\ +-1.3732471859884713971667f,-0.0871747108156779304533f,0.3318121744832343011922f,\ +0.813877556086732623086f,0.6766249185129517007553f,0.2594423975862346631871f,\ +-1.2199874507987620297911f,-0.9897424388234272729648f,-1.5501341727479884813334f,\ +1.3236241898041882780745f,-0.6342132090900320928739f,-0.4029346079915554490469f,\ +1.3618162247590774871497f,-1.2268551088323862430229f,-0.0165544865341302541162f,\ +0.4697449293077746168557f,0.5129232238932224241523f,-1.2864890116754716942182f,\ +-0.5815154649104360418121f,0.0042198993973377365435f,0.4217149352171605802830f,\ +-0.3269590438815029309616f,-0.2713027722538356445448f,0.9981558319993941719162f,\ +-2.0584511427735407984585f,0.6360071281896889638929f,0.7792532924825519291545f,\ +0.8152290078526440719742f,0.302690835462471330430f,0.7846292874622610158397f,\ +1.3471935456922272678071f,0.0235796939592457371893f,0.8341783427284864549378f,\ +-0.8042305059271110945218f,1.2811212643144183065402f,1.109535684815037281936f,\ +1.5542750631114032877633f,0.2918299696375577512164f,1.0694551283559152743408f,\ +1.2577061015533308463432f,-2.904044346742185922494f,-0.2870782813229341146055f,\ +-1.2760057024544790849063f,0.283985753428556031430f,-1.3175328345022150333676f,\ +0.8988284250430720323521f,-1.8112538507045783386928f,-1.0995994665801063217003f,\ +-0.4449820788080595668212f,0.5855247264136794749234f,-0.7093745947817804431423f,\ +0.1905828492221817993535f,-0.5445080014401588730522f,-1.365437721272832805042f,\ +-0.6751146881456216997108f,-1.1868018509166287088874f,-0.8652762231421259331299f,\ +1.3117247998219794258290f,-0.2796512899932403484193f,-0.2218002038379895402009f,\ +-1.9751109128000410297687f,0.1122673197507930292760f,1.2555755229270146866583f,\ +-1.9515162530964744735940f,0.1977614186013104402573f,0.2974354172914404070838f,\ +-0.4957061458086293725955f,-1.5054836292812976417110f,-0.6943524973783626874635f,\ +-0.4602840002479897663079f,1.3936515683502606055555f,-0.0740340331806867979481f,\ +-0.6177784175603027172485f,-0.2145874798022777973916f,0.8980342752260660477148f,\ +0.0337374057866826476682f,-1.1446268541982025368497f,-1.2555511561156762478930f,\ +0.8386583904487018292784f,-2.446562477109361033456f,1.5119860122449106931697f,\ +0.1869337784232076582480f,-0.3349553867803892748256f,0.131542782393392315710f,\ +0.0174597275898690194873f,1.778529610135566318974f,0.618702552545296935449f,\ +-1.6771343167918386640736f,0.7435693095206714620105f,-0.5379787827929278787309f,\ +-1.5913674625260130213178f,0.1780898508541619018608f,-0.25671563034338790166f,\ +-0.2862788634729842573989f,-0.4906498481756356722094f,0.3900012521547605026662f,\ +-1.84205336065016078706f,-1.5234366963806009742655f,0.2365255965998115661453f,\ +-1.7320610820689275044515f,-0.2834038205636343343841f,-1.5009852265404577398300f,\ +1.7422292049682128745047f,-0.2436614706579122158203f,1.0689605525655874185276f,\ +2.3690635117400145048805f,-0.1930577380634317663510f,0.2735573868128330365934f,\ +1.5569516288681788385162f,0.7150292123422491430418f,0.5468099984878278529976f,\ +-1.5473048247641658647922f,-0.4396944448158471852039f,0.3112403247843043563314f,\ +-1.26537605009678144619f,-2.3950841704590355440985f,-0.2592078718414222993083f,\ +-0.4387845364322502383914f,0.7187054098642295940635f,-1.2095433748027486497989f,\ +0.1746582197927172008800f,-1.1207357315790709151315f,-1.2331864421831437717003f,\ +1.040361177077658849655f,-0.7973568364198504454521f,0.4368277956791839500283f,\ +1.3732228487397339922182f,-1.520585040532598242180f,1.0844121210894082096843f,\ +-0.6034908039898051468342f,1.691270204422151035573f,-1.0147637811434373489305f,\ +-1.543831005555790003569f,-0.1908715944289217369967f,-0.9777526617402377828725f,\ +-0.5011593951678696701180f,-0.6581745867398813842897f,-1.222568274664002307972f,\ +0.5739764929054486097826f,-0.8178919175936580909791f,-0.0839772392176704185474f,\ +-2.2467727407263837768880f,0.5311634003342166066020f,0.0127028917577170375602f,\ +1.4336465735979566638036f,1.140130846486164140074f,0.7078292602873598182711f,\ +0.6419172762011019495176f,-0.7752020495699509794463f,-0.2227250211522007472542f,\ +0.1418062472773869153730f,0.3461143754334283229035f,0.9346610138588777871860f,\ +-1.1766714696487656777180f,-1.155321545637316260624f,-1.0348373990480448370022f,\ +-0.4377198927182634480282f,0.5342901632756290597470f} + +#define CRESULTR {0.6603968316049805276080f,0.2592621892570787789367f,-0.3318454617138371642859f,\ +-0.2997813790812504652905f,0.5587163403231363290047f,-0.1189561420345783687713f,\ +0.7381324458324397541631f,2.142136719995466176414f,-1.3458078751828295160919f,\ +1.3129764303388649082649f,3.3523257180963095258619f,1.2630048090441925445759f,\ +1.6535623505413692413413f,1.0844508507590295831591f,0.4550473771130031930277f,\ +0.9621269818830543441024f,1.013062998048058771516f,0.9256575460351638140466f,\ +0.0102887155976816024872f,0.6668255580964917994535f,1.0432946799591633624260f,\ +-0.4668000327046901709593f,4.4102457143090099123128f,0.6767097030615227826189f,\ +9.8624279257033951040512f,0.9672974379596046556884f,-0.0208338391589294388839f,\ +1.0307881917288705952984f,0.5404196044618572170037f,1.5733521090107187578866f,\ +0.4580812522816201659559f,5.0350486020971887413111f,1.2277369531593618212639f,\ +-0.8994082908263842934815f,0.8177424613018864363312f,0.7782283917530580241717f,\ +1.8099404305650070856615f,0.8082102149385829159556f,0.5629089875114635654896f,\ +1.4748501127652635656062f,0.6669768846821123586821f,1.699726699407153374111f,\ +1.298577834389474938703f,0.9945484939786765066216f,0.7581576733086236030701f,\ +0.8456096567246286221931f,-0.4135520032774342991111f,0.5435636589621466452371f,\ +1.810248147243165517395f,1.4551350063240526822028f,1.4924370356604863552263f,\ +2.0000431078502241000194f,-0.1972543510483453221838f,0.5590324784918681011447f,\ +2.068372118994307395923f,0.0835345805491203158288f,0.4460902185747692705320f,\ +0.8645923158579836842463f,-0.1111931823350623821378f,1.8617144830169030100819f,\ +1.02983082411914805832f,0.7572686801513547338871f,1.0567502136654132183224f,\ +0.8128189945963255613748f,0.8399378223031567225476f,1.4017511305320988768131f,\ +2.956644273924759147576f,1.132754400798835492381f,1.265693867178816711672f,\ +0.5610629520868651853860f,0.8055306977755860575741f,0.9213852223586275203004f,\ +-0.4199962882323669544071f,0.9807673830270958736932f,-0.3590470367287647013299f,\ +1.2420524197984359471292f,1.6706050779946230999684f,1.6747789118158156185245f,\ +-2.16927668845889520810f,0.8261050353521025568782f,1.3826822282594428692448f,\ +0.1727680624199215975167f,9.057823043102500193413f,0.9457668311290795548629f,\ +1.833812877114292083647f,0.8940453644463330906689f,0.2341249670166324903242f,\ +1.363576337757532064288f,0.7162232362688260023376f,-0.7845189065148089335722f,\ +1.097237008647440115183f,0.5573625517969845732935f,1.0662662205819704031029f,\ +0.9561831479074293094200f,0.6520642360884429944434f,1.8151009640860991112277f,\ +1.0674278234021243871865f,1.0313090898160910402481f,1.3624555698791520619295f,\ +1.757155073751679230654f,1.0064753136983999315390f,0.0749572440340378898238f,\ +3.6259465360107721032534f,0.9955398364095786600814f,-1.0568745874589622336f,\ +3.5878460752889553830869f,0.8668812254131966765769f,0.8997505054992860351604f,\ +1.040555384796898463762f,2.1965462296781987916461f,0.8333142225488954224488f,\ +1.0523855335407785727142f,-0.0458709738274477793474f,0.5458332569596060501738f,\ +1.195961273756254605871f,0.8884437146730177481402f,1.2715015087988947861675f,\ +0.9300156339115848158627f,1.2162605499523735375078f,1.4405129668915395146911f,\ +-0.9683533444224800001976f,5.4479898316980985839564f,-1.9178644985834492064924f,\ +-0.5029446665597729904107f,1.0267816742413071740003f,-0.4044626121435637711166f,\ +-0.5620727987859718277619f,0.5138734552212488315703f,1.0709367349326839313761f,\ +2.6385439370616894372290f,0.9332628709668898681073f,0.4809878535892211925962f,\ +2.3274184357315248483644f,1.0152140200890447108151f,0.6317250697033859330176f,\ +-0.390230756302790915413f,0.7144330074150475606842f,-1.0633635201019895344388f,\ +-0.4238985166974506557658f,0.7604701169947127858961f,1.0257495217324759106958f,\ +2.8333209029821588842424f,0.8984586856426056700187f,1.7791621377373312284931f,\ +2.4485583447413197255571f,0.4244935342539479794510f,1.4527777983860266086680f,\ +4.1768674382240673637057f,0.8760717584983536143639f,1.025358467451832122919f,\ +2.0225373659775809365158f,0.1929591577071132768584f,1.0348979760988403775457f,\ +2.4313713775277490114490f,0.8666224950927583492444f,0.0284371329577691699109f,\ +1.9091763626738669223926f,2.934604495210217045553f,1.0152593733387236252241f,\ +0.2952893892910067874524f,1.1132087589342971600814f,0.7251532821639393722180f,\ +-0.8189305685602711326609f,1.5345662883929571673747f,1.7188713168135731912400f,\ +0.4555641729620423796554f,1.273008943337736509349f,0.4560137683691281029752f,\ +1.1053164018215166919390f,-0.9060167575034622222674f,1.0910838839542402745053f,\ +-0.9695473009615381831949f,2.7466955042474223702698f,1.4261078323829836644876f,\ +2.297318046615583586600f,0.8629928731306283351543f,1.2099030156571450866920f,\ +0.5606054313387058840590f,0.8663522170995916482639f,1.8289146898108739058841f,\ +0.7647265415048952741373f,0.6847484857113015355168f,1.0021685183539132957264f,\ +1.3866261204365910586489f,0.1714987437851132057176f,0.9918063704778133926609f,\ +-0.8398571556569223162114f,1.624536447087556512159f,1.17576217917109437927f,\ +0.7155426268638502840247f,1.1625689563760244205071f,0.6145684296686997338810f,\ +0.1028453801776162412907f,0.8392286126386587774562f,1.4202930257299617444744f,\ +0.7599315975784372012569f,1.74429364867563263530f,0.4552293130713663815712f,\ +0.4842614797058485409664f,-0.759839135565466450295f} + +#define CRESULTI {-0.146941580724984616202f,0.4874941601771347610139f,-5.8732506000776529830887f,\ +-0.1923557391894928081388f,-0.1938092227520436805488f,0.1380525220047903456333f,\ +-0.0894197912409416678647f,-2.2083871916990625017263f,1.38762940282270652581f,\ +-0.379707247416236348680f,0.2563331150684992620903f,-0.1514182976925468326890f,\ +-0.2833925825567581990860f,-0.1897432487381172094842f,0.9841855659814751078329f,\ +0.0334435644614089755411f,0.2943712296517632109882f,-0.6135431940236653058918f,\ +-0.6213108038265401367184f,0.0664065988188502348555f,1.5707022449109617756591f,\ +0.8020378110570226537490f,0.8061058304221635495423f,-0.6229364595259883063960f,\ +5.873854580840536243613f,0.3548772564844954735541f,0.5743671991358663131422f,\ +-0.0964195772855189620065f,-1.015948375800173053563f,0.1544112964905340057431f,\ +-2.427720301875694985938f,-1.0527358981959802353146f,-0.2804463002040958885530f,\ +-2.667664304679369102757f,-0.1773304122311009645152f,0.3851475525760940099573f,\ +-0.6144403782537597447089f,-0.0639215126270850642065f,0.0563572709924226103451f,\ +0.9949983775946195097006f,-0.1541120072724549983079f,0.3483472405495082191429f,\ +-1.4521802331617248427165f,0.0118245383836800051908f,0.2351284238449595775933f,\ +0.7067939417094389886742f,0.6875306193270583898780f,-0.2231728770983253673510f,\ +0.2822282491943420845715f,-0.3606863345205877369182f,-1.789492973412827536706f,\ +0.1867542931864467348202f,-0.6684973125435003105110f,-0.3544323112754915183764f,\ +0.1903651481757896168912f,-1.5570503331148395353978f,0.0148172477875626266292f,\ +-0.3065501441038122609761f,-0.5331323204569118345830f,0.4924734236714592428008f,\ +-0.2951210995789439461845f,-0.0027560721209946860942f,-0.1068344484336290478588f,\ +-0.2118570413928013151939f,-0.1610793407630224660654f,0.4868738628243398092188f,\ +-2.579960937463402714798f,0.2378086541486917060428f,-0.2428029308169650513083f,\ +-0.8265359232776167131007f,-0.1960976284506159017518f,-0.6230605514253650945022f,\ +-1.755406116186124965139f,-0.0046349019875992188491f,0.9016172621635419881514f,\ +0.3372605888766848636351f,-0.8436494304870341132130f,-0.1192082555849750258314f,\ +1.0830200228715931576318f,0.1806566116072005345750f,0.6790264707808069122308f,\ +1.609828137915977341876f,1.2968382390971706641380f,0.1218796661012466753249f,\ +-0.5166846594494688416077f,-0.1472753279361777856149f,1.7212963380251158351797f,\ +-0.3127599294310591804269f,-2.89888504993117113173f,1.1780998114195078141364f,\ +-0.0361775267207019371463f,0.5456053298268405127303f,0.4123679880285295307196f,\ +0.0659019050150095875296f,-0.4713866341281334748636f,0.9028599597514885832794f,\ +-0.3674007976866919822356f,-1.2146233237644410429823f,-0.2198736582857065691154f,\ +-0.8094828887322721433506f,-0.0706994284778254822310f,-0.2230241649514515533959f,\ +-0.5643984283124198197967f,-0.0164146852495472492239f,-1.3391611472776376867699f,\ +0.1376079760459386902571f,0.1047929421413649753170f,-0.1533297870650806860038f,\ +0.1966501815957944765412f,-0.7921571860524847519258f,0.5604745942609183906313f,\ +0.1489022072975806909589f,-1.8902500881495403195487f,-0.0621612461401919516590f,\ +0.0270260228763795351536f,-0.1072348104191992446133f,0.4697601544599027123539f,\ +0.0124466007411300864927f,1.0036512376933612866736f,-1.049412060795365198018f,\ +0.6666269392002136529030f,2.010144371510963257066f,1.2757551800142050701936f,\ +-0.1634497680436179101182f,0.0805305413426501415231f,-0.1208519512813724661182f,\ +0.0144424770778995917309f,2.8348773781599185817015f,-0.2949185744370810824400f,\ +-0.7818376664535492404084f,0.5616872313168002062156f,-0.5124110438039969350754f,\ +-0.9747306641614861266731f,0.0065779403553887496811f,-0.205370183808804979142f,\ +-0.269054670595636091779f,-0.3938808526857590086578f,-0.0634893958645683514908f,\ +-3.0489600352607997280074f,2.072697136598120604134f,-0.0161438616695122189038f,\ +-0.6420425137334005993850f,-0.144832386550082847787f,1.3961681016866522853093f,\ +1.534869934827646220654f,-0.2242019675630647912445f,-0.5795004710241905554469f,\ +3.3483419852888491874410f,0.0991308462877908275201f,-0.0425076535895645771235f,\ +1.309216767461068409162f,0.7684601350295457988793f,0.2535070961278987344834f,\ +-0.3156127379694732559834f,-0.278872470151356244283f,-0.3161734445550384298151f,\ +-0.106765701893629952335f,-4.6100082079818358593570f,0.0493978828262259944681f,\ +-0.4363059774746961272385f,0.3760761368145200678192f,-1.4011279329067940491171f,\ +0.1037666142610354780285f,-0.5844725415055048722834f,-0.6033334328120393275086f,\ +-1.1866522252940947534938f,-0.2666075239397875384917f,0.4100487177769164826024f,\ +-1.570972740050773142073f,2.0165334475753500242945f,0.9815781508770222707483f,\ +0.3701172711568467832421f,0.5330671903876023076663f,-0.4865756887562372456912f,\ +-0.7719024118076073248673f,-0.101927682205751976574f,-0.6886382760934363078675f,\ +-0.4533487312581489514507f,0.4994598581237761347751f,-0.2054810163364952091403f,\ +0.4584447177031794051771f,-0.7868410449880314239124f,-0.0043750939988532102504f,\ +4.4747804523350742655907f,-0.5502105833706960602569f,0.0016307130557308498371f,\ +1.83024619927524345719f,-0.4687597592810309743427f,-0.2779394557997144632466f,\ +-0.5547224826362566751925f,0.400556327585974369931f,-0.1797184375596841132694f,\ +-0.1415425280521077078255f,-0.2158502978608074218680f,0.2764160437046866980459f,\ +1.326476685000083532984f,0.0406909700160508550071f,-1.1778701919064038516893f,\ +-0.4054547584096580559176f,0.419311934137157338309f} + + +void scossTest(void) { + float in[]=SOURCE; + float res[]=RESULT; + float out; + int i; + + for (i=0;i<200;i++){ + out=scoss(in[i]); + assert(( (fabs(out-res[i]))/(fabs(out)) )<3e-6); + } +} + +void ccossTest(void) { + float inR[]=CSOURCER; + float inI[]=CSOURCEI; + float resR[]=CRESULTR; + float resI[]=CRESULTI; + floatComplex in,out; + int i; + + for (i=0;i<200;i++){ + in=FloatComplex(inR[i],inI[i]); + out=ccoss(in); + assert(( (fabs(creals(out)-resR[i]))/(fabs(creals(out))) )<3e-6); + assert(( (fabs(cimags(out)-resI[i]))/(fabs(cimags(out))) )<1e-6); + } +} + +void scosaTest(void) { + float in[]=SOURCE; + float res[]=RESULT; + float out[200]; + int i; + + scosa(in,200,out); + for (i=0;i<200;i++){ + assert(( (fabs(out[i]-res[i]))/(fabs(out[i])) )<3e-6); + } +} + +void ccosaTest(void) { + float inR[]=CSOURCER; + float inI[]=CSOURCEI; + float resR[]=CRESULTR; + float resI[]=CRESULTI; + floatComplex in[200],out[200]; + int i; + + for (i=0;i<200;i++){ + in[i]=FloatComplex(inR[i],inI[i]); + } + ccosa(in,200,out); + for (i=0;i<200;i++){ + assert(( (fabs(creals(out[i])-resR[i]))/(fabs(creals(out[i]))) )<3e-6); + assert(( (fabs(cimags(out[i])-resI[i]))/(fabs(cimags(out[i]))) )<1e-6); + } +} + +int testCos(void) { + printf("\n>>>> Float Cosine Tests\n"); + scossTest(); + ccossTest(); + scosaTest(); + ccosaTest(); + return 0; +} + +int main(void) { + assert(testCos() == 0); + return 0; +} diff --git a/2.3-1/src/c/elementaryFunctions/cos/zcosa.c b/2.3-1/src/c/elementaryFunctions/cos/zcosa.c new file mode 100644 index 00000000..76a4f2d6 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/cos/zcosa.c @@ -0,0 +1,20 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "cos.h" + +void zcosa(doubleComplex* x, int size, doubleComplex* y) { + int i = 0; + for (i = 0; i < size; ++i) { + y[i] = zcoss(x[i]); + } +} diff --git a/2.3-1/src/c/elementaryFunctions/cos/zcoss.c b/2.3-1/src/c/elementaryFunctions/cos/zcoss.c new file mode 100644 index 00000000..4fd5d3f0 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/cos/zcoss.c @@ -0,0 +1,24 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "cos.h" +#include "sin.h" +#include "cosh.h" +#include "sinh.h" + +doubleComplex zcoss(doubleComplex z) { + double real = zreals(z); + double imag = zimags(z); + + return DoubleComplex(dcoss(real) * dcoshs(imag), + -dsins(real) * dsinhs(imag)); +} diff --git a/2.3-1/src/c/elementaryFunctions/cosh/Makefile.am b/2.3-1/src/c/elementaryFunctions/cosh/Makefile.am new file mode 100644 index 00000000..4d28f07e --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/cosh/Makefile.am @@ -0,0 +1,70 @@ +## +## Scilab ( http://www.scilab.org/ ) - This file is part of Scilab +## Copyright (C) 2006-2008 - INRIA - Bruno JOFRET +## +## This file must be used under the terms of the CeCILL. +## This source file is licensed as described in the file COPYING, which +## you should have received as part of this distribution. The terms +## are also available at +## http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt +## +## + +libCosh_la_CFLAGS = -I $(top_builddir)/src/c/type \ + -I $(top_builddir)/src/c/auxiliaryFunctions/includes \ + -I $(top_builddir)/src/c/elementaryFunctions/includes + +instdir = $(top_builddir)/lib + +pkglib_LTLIBRARIES = libCosh.la + +libCosh_la_SOURCES = $(HEAD) $(SRC) + +SRC = scoshs.c \ + dcoshs.c \ + ccoshs.c \ + zcoshs.c \ + scosha.c \ + dcosha.c \ + ccosha.c \ + zcosha.c + +HEAD = ../includes/cosh.h + +#### +# Checking Part +#### + +check_INCLUDES = -I $(top_builddir)/src/c/elementaryFunctions/includes \ + -I $(top_builddir)/src/c/type + +check_LDADD = $(top_builddir)/src/c/type/libDoubleComplex.la \ + $(top_builddir)/src/c/type/libFloatComplex.la \ + $(top_builddir)/src/c/operations/addition/libAddition.la \ + $(top_builddir)/src/fortran/lapack/libscilapack.la \ + $(top_builddir)/src/c/elementaryFunctions/cosh/libCosh.la \ + 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sort -u` ;; \ + esac; \ + for file in $$dist_files; do \ + if test -f $$file || test -d $$file; then d=.; else d=$(srcdir); fi; \ + if test -d $$d/$$file; then \ + dir=`echo "/$$file" | sed -e 's,/[^/]*$$,,'`; \ + if test -d "$(distdir)/$$file"; then \ + find "$(distdir)/$$file" -type d ! -perm -700 -exec chmod u+rwx {} \;; \ + fi; \ + if test -d $(srcdir)/$$file && test $$d != $(srcdir); then \ + cp -fpR $(srcdir)/$$file "$(distdir)$$dir" || exit 1; \ + find "$(distdir)/$$file" -type d ! -perm -700 -exec chmod u+rwx {} \;; \ + fi; \ + cp -fpR $$d/$$file "$(distdir)$$dir" || exit 1; \ + else \ + test -f "$(distdir)/$$file" \ + || cp -p $$d/$$file "$(distdir)/$$file" \ + || exit 1; \ + fi; \ + done +check-am: all-am + $(MAKE) $(AM_MAKEFLAGS) $(check_PROGRAMS) + $(MAKE) $(AM_MAKEFLAGS) check-TESTS +check: check-am +all-am: Makefile $(LTLIBRARIES) +installdirs: + for dir in "$(DESTDIR)$(pkglibdir)"; do \ + test -z "$$dir" || $(MKDIR_P) "$$dir"; \ + done +install: install-am +install-exec: install-exec-am +install-data: install-data-am +uninstall: uninstall-am + +install-am: all-am + @$(MAKE) $(AM_MAKEFLAGS) install-exec-am install-data-am + +installcheck: installcheck-am +install-strip: + $(MAKE) $(AM_MAKEFLAGS) INSTALL_PROGRAM="$(INSTALL_STRIP_PROGRAM)" \ + install_sh_PROGRAM="$(INSTALL_STRIP_PROGRAM)" INSTALL_STRIP_FLAG=-s \ + `test -z '$(STRIP)' || \ + echo "INSTALL_PROGRAM_ENV=STRIPPROG='$(STRIP)'"` install +mostlyclean-generic: + +clean-generic: + +distclean-generic: + -test -z "$(CONFIG_CLEAN_FILES)" || rm -f $(CONFIG_CLEAN_FILES) + -test . = "$(srcdir)" || test -z "$(CONFIG_CLEAN_VPATH_FILES)" || rm -f $(CONFIG_CLEAN_VPATH_FILES) + +maintainer-clean-generic: + @echo "This command is intended for maintainers to use" + @echo "it deletes files that may require special tools to rebuild." +clean: clean-am + +clean-am: clean-checkPROGRAMS clean-generic clean-libtool \ + clean-pkglibLTLIBRARIES mostlyclean-am + +distclean: distclean-am + -rm -rf ./$(DEPDIR) + -rm -f Makefile +distclean-am: clean-am distclean-compile distclean-generic \ + distclean-tags + +dvi: dvi-am + +dvi-am: + +html: html-am + +html-am: + +info: info-am + +info-am: + +install-data-am: + +install-dvi: install-dvi-am + +install-dvi-am: + +install-exec-am: install-pkglibLTLIBRARIES + +install-html: install-html-am + +install-html-am: + +install-info: install-info-am + +install-info-am: + +install-man: + +install-pdf: install-pdf-am + +install-pdf-am: + +install-ps: install-ps-am + +install-ps-am: + +installcheck-am: + +maintainer-clean: maintainer-clean-am + -rm -rf ./$(DEPDIR) + -rm -f Makefile +maintainer-clean-am: distclean-am maintainer-clean-generic + +mostlyclean: mostlyclean-am + +mostlyclean-am: mostlyclean-compile mostlyclean-generic \ + mostlyclean-libtool + +pdf: pdf-am + +pdf-am: + +ps: ps-am + +ps-am: + +uninstall-am: uninstall-pkglibLTLIBRARIES + +.MAKE: check-am install-am install-strip + +.PHONY: CTAGS GTAGS all all-am check check-TESTS check-am clean \ + clean-checkPROGRAMS clean-generic clean-libtool \ + clean-pkglibLTLIBRARIES ctags distclean distclean-compile \ + distclean-generic distclean-libtool distclean-tags distdir dvi \ + dvi-am html html-am info info-am install install-am \ + install-data install-data-am install-dvi install-dvi-am \ + install-exec install-exec-am install-html install-html-am \ + install-info install-info-am install-man install-pdf \ + install-pdf-am install-pkglibLTLIBRARIES install-ps \ + install-ps-am install-strip installcheck installcheck-am \ + installdirs maintainer-clean maintainer-clean-generic \ + mostlyclean mostlyclean-compile mostlyclean-generic \ + mostlyclean-libtool pdf pdf-am ps ps-am tags uninstall \ + uninstall-am uninstall-pkglibLTLIBRARIES + + +# Tell versions [3.59,3.63) of GNU make to not export all variables. +# Otherwise a system limit (for SysV at least) may be exceeded. +.NOEXPORT: diff --git a/2.3-1/src/c/elementaryFunctions/cosh/ccosha.c b/2.3-1/src/c/elementaryFunctions/cosh/ccosha.c new file mode 100644 index 00000000..57e2ed4d --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/cosh/ccosha.c @@ -0,0 +1,20 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "cosh.h" + +void ccosha(floatComplex* x, int size, floatComplex* y) { + int i = 0; + for (i = 0; i < size; ++i) { + y[i] = ccoshs(x[i]); + } +} diff --git a/2.3-1/src/c/elementaryFunctions/cosh/ccoshs.c b/2.3-1/src/c/elementaryFunctions/cosh/ccoshs.c new file mode 100644 index 00000000..4504bec9 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/cosh/ccoshs.c @@ -0,0 +1,20 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "cosh.h" +#include "cos.h" + +/** ch(z) = cos(i.z) */ +floatComplex ccoshs(floatComplex z) { + + return (ccoss(FloatComplex(-cimags(z), creals(z)))); +} diff --git a/2.3-1/src/c/elementaryFunctions/cosh/dcosha.c b/2.3-1/src/c/elementaryFunctions/cosh/dcosha.c new file mode 100644 index 00000000..9b8ce3b2 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/cosh/dcosha.c @@ -0,0 +1,20 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "cosh.h" + +void dcosha(double* x, int size, double* y) { + int i = 0; + for (i = 0; i < size; ++i) { + y[i] = dcoshs(x[i]); + } +} diff --git a/2.3-1/src/c/elementaryFunctions/cosh/dcoshs.c b/2.3-1/src/c/elementaryFunctions/cosh/dcoshs.c new file mode 100644 index 00000000..78131389 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/cosh/dcoshs.c @@ -0,0 +1,26 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +/* +// cosh(z) = 0.5 (exp(|z|) + exp(-|z|)) +// = 0.5 ( y + 1/y ) with y = exp(|z|) +*/ + +#include <math.h> +#include "cosh.h" +#include "exp.h" +#include "abs.h" + +double dcoshs(double x) { + double y = dexps(dabss(x)); + return (0.5 * (y + 1.0/y)); +} diff --git a/2.3-1/src/c/elementaryFunctions/cosh/scosha.c b/2.3-1/src/c/elementaryFunctions/cosh/scosha.c new file mode 100644 index 00000000..8ac948a1 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/cosh/scosha.c @@ -0,0 +1,20 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "cosh.h" + +void scosha(float* x, int size, float* y) { + int i = 0; + for (i = 0; i < size; ++i) { + y[i] = scoshs(x[i]); + } +} diff --git a/2.3-1/src/c/elementaryFunctions/cosh/scoshs.c b/2.3-1/src/c/elementaryFunctions/cosh/scoshs.c new file mode 100644 index 00000000..3e8a1e18 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/cosh/scoshs.c @@ -0,0 +1,26 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +/* +// cosh(z) = 0.5 (exp(|z|) + exp(-|z|)) +// = 0.5 ( y + 1/y ) with y = exp(|z|) +*/ + +#include <math.h> +#include "cosh.h" +#include "exp.h" +#include "abs.h" + +float scoshs(float x) { + float y = sexps(sabss(x)); + return (0.5f * (y + 1.0f / y)); +} diff --git a/2.3-1/src/c/elementaryFunctions/cosh/testCosh.h b/2.3-1/src/c/elementaryFunctions/cosh/testCosh.h new file mode 100644 index 00000000..a4de725c --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/cosh/testCosh.h @@ -0,0 +1,40 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2007-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#ifndef _TESTCOSH_H_ +#define _TESTCOSH_H_ + +#include <stdio.h> +#include <assert.h> +#include <math.h> +#include "cosh.h" +#include "constant.h" + +void scoshsTest(void); + +void dcoshsTest(void); + +void ccoshsTest(void); + +void zcoshsTest(void); + +void scoshaTest(void); + +void dcoshaTest(void); + +void ccoshaTest(void); + +void zcoshaTest(void); + +int testCosh(void); + +#endif /*! _TESTCOSH_H_ */ diff --git a/2.3-1/src/c/elementaryFunctions/cosh/testDoubleCosh.c b/2.3-1/src/c/elementaryFunctions/cosh/testDoubleCosh.c new file mode 100644 index 00000000..ef3b5289 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/cosh/testDoubleCosh.c @@ -0,0 +1,507 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "testCosh.h" + +#define SOURCE {-1.205685175775274453613,-0.8333271236779051793775,1.2335774322243386880160,\ +0.3311018349037936903123,-0.8052653369328224286505,0.1998487851928297531767,\ +-0.8705427356398579563646,0.1975294304937466050021,0.9239335793216870706956,\ +0.2378506537628061745515,0.0049366873129022617595,-0.669236585027300545647,\ +1.0653101376824569701540,-0.3369456198746673680766,0.6204667311042414423738,\ +1.6283002068610463730636,0.7206914942876857521625,1.7221990362694574727698,\ +-1.0902216302137626158242,0.2874486754733126536721,-1.2122889745482419154854,\ +1.8215917027079053802652,2.8016558959521908889201,0.4050930510541474460773,\ +0.0617355341334478585624,-0.4301267567705842620462,-0.8284509700102783424924,\ +1.0256901078279201389165,1.525021231170059277105,-1.3197460532844016434240,\ +-0.4460647093896898951471,0.5045503141647188494190,-0.8098965560197782798113,\ +0.4268132043604428993433,-1.1336964590865461488534,1.127146072313511160345,\ +-0.9122705295277132586662,-0.3089065753248803058995,-2.3178211651402826909418,\ +1.1439933378277502562526,0.7005552213939509886842,0.4233298618301614135717,\ +-2.5208275627904130899992,-0.2816183187535069021301,0.7467093404219694585677,\ +0.7637510409783198062073,0.3396503036180347767647,-0.9747149605661590276995,\ +0.1472242280982364037722,0.9901921384491637612157,-1.2197737051905059857404,\ +-0.4607952353595122785279,-0.9492383290419380559300,1.4160381392623584417834,\ +-0.2758297498115374613015,1.7324484611160422264931,1.1368999048747294722261,\ +0.8568173351546003457813,0.3519313905007281362280,-0.8897875910518927566883,\ +0.2244273879422930551009,0.2394303391704008243668,-1.0382487030291693841377,\ +-1.0129167707607047432816,-0.3443356316152397234021,0.9904626758703307665144,\ 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+-0.3083046332207799999914,0.2621552778202266842378,0.5195575373923391193642,\ +1.56243573209724884165,0.2068570860697496183178,-1.0570132216452536866313,\ +-0.5904609039323533981047,-1.8482550680523897046470,-1.291460161650367144404,\ +-0.7557326141240545691602,-1.0579108981634606223565,1.2726680818341371548286,\ +0.8679294400149879518125,0.1923087263308917160831,-0.7207099055968289036400,\ +-0.9810187619058614583167,-1.1007025532949878954270,1.0502610988542768755138,\ +2.1328376492581355705624,0.2517811686949605887165,0.0286045569084023044992,\ +0.5426452678085846859091,1.0007501149236575077595,-0.1483667758019126259317,\ +0.6740034918705165578601,-0.7882925718203834808406,-0.7561945904807015894633,\ +0.5978999579905148742398,-1.0006972818202708452873,-0.8844110367528469351939,\ +0.0563203493770412927377,0.0010532695687821122445,-2.2465253729529170989565,\ +1.141716522775603870343,-0.4500026076505115879556,0.9053568457125464874480,\ +1.1182847109018192455210,0.8014435340539697305573,0.7353172667964483766312,\ +-1.0684850588765142376246,-0.8549786389844856726583,3.744686089807424789200,\ +0.2152832470021692201634,-0.8813298598480671097732,1.096456876472062580419,\ +0.3072305150928033579127,-0.0799524082246828721177,-0.0588190904677381790067,\ +-1.1720572424194137806097,1.4720320544391665151807,0.0931276494198173265815,\ +0.555984015411468357470,0.8773397145008163811042,0.3438026639727968514215,\ +0.2511717975861258445036,-0.4806220734748062883845,0.1665649861790623464941,\ +-0.9011922058627225284866,-1.3882654124150977104080,-1.0995275754970570414315,\ +-0.2796226936636541648973,1.8675624576106222285432,-0.6479880884779005700835,\ +-1.2193765127792735025736,-0.4210708606718742141872,1.074252254135527273604,\ +0.5620287257728261431922,-0.5121392183328929981201,0.0495074962957085112913,\ +-1.483551847645206089865,-0.1477396930496895632867,0.4331368024681788719832,\ +-0.1336623009706502385185,-0.5252621832336971108290,0.6576305030526226058640,\ +-2.5329417269156695446952,-0.3644974785307753539776,-3.0957701776748671740336,\ +-1.5563868957442139606684,-1.3037172144407160878643,0.1173565633554439491260,\ +-1.4546337195274263720535,0.8077473947731041992171,0.5608831835142086275070,\ +-0.2032753128403547993042,2.1656548569001641268983,-1.0352617083883073334505,\ +0.0703447174899709398721,0.9001420266818445092838} + +#define ZRESULTR {0.7816146272263719829709,0.9335239938948984850242,1.3671418657595642009994,\ +1.251053426889690234347,0.7638235407866506010421,1.05442571981112132029,\ +0.7654863707154079266459,0.9870695051633786576417,0.4317842171461107048103,\ +0.6134213525393761301530,0.2077424772758102444747,0.0466895952950193357522,\ +1.360861123120397309094,0.1290276167481773372803,1.6109467398934755877349,\ +0.4514742994866134950804,0.0978899773240222564885,1.9847014656066033211346,\ +0.8795516810834358434334,0.9805643961019996357464,1.2914771272713012617572,\ +1.45266805020831779593,0.9982291599155850292391,0.8256234470461548680120,\ +-0.4185192299594263642959,0.2310786951961565083291,1.0010177538173574696145,\ +0.7891557184270517888436,2.5416517088949488467620,0.6546112908226877635798,\ +2.3190840475863043756988,-1.0326993872554559583676,1.9805065587758790002226,\ +1.9896627954528611770257,0.9782130127113016770934,0.9495035596250852583111,\ +2.6155274562386430226013,-0.3882195415344683042669,1.6969468407328636150311,\ +2.3343766660435352200409,1.0146967843242544748961,1.8258003683547168183310,\ +0.8286050933424484732370,0.7704328385697075676219,0.1502070282359266317762,\ +2.3818436251417942628450,7.4205579165122914631070,0.9034699872486960936513,\ +0.0421812525739015259374,2.772183837530781680414,1.05592364033954333458,\ +0.4321743126982589000562,1.0104075090452335761171,1.172999728469012792331,\ +2.4859521407117588509550,1.0004516930864140178414,0.546406215495572333829,\ +-0.0897848836255507876114,0.4902005853747226638006,1.3459428245240352417511,\ +-0.9702703286402243332276,0.4885630407318873325018,0.8780295479347596243613,\ +1.70760011581548409865,0.3365500801559331289781,0.9791465640129676240022,\ +1.0399586044108937166186,1.694655018871175533590,0.782984551558400743154,\ +3.2677601373666536055396,2.1277760759506403332,1.14078060084558496889,\ +0.5190124031043247265771,1.1102812125309757806946,1.1710705982540408065518,\ +0.9356000257245263851402,0.2627541871520008842644,0.9248192933983879759907,\ +1.521163371222483906564,1.6845378275230893372338,1.06533482774366716761,\ +0.8498389444062255382306,1.0685794539652364587567,0.652956087446700861321,\ +1.1336945232455741816580,0.4760496137462009169639,1.0655234579631518432308,\ +0.3786859524519583519719,1.1151440885209693565372,1.0396183182135259048806,\ +0.9918753196058325283246,1.3573231183580980463432,0.0667878216615050979144,\ +0.9763703551872023878033,1.1968339368077574036420,0.3044649077728942554444,\ +1.3772502379038416009394,1.17234744424829684384,1.4766671247289078205966,\ +1.1826761905568310417891,1.9143513147617730041361,2.0066566439861803772260,\ +0.8422630906406018969079,0.0168918363185286551920,1.0985590427740710151028,\ +1.1765072536632881217145,0.6974498887881349640239,1.9699828668985011059789,\ +-0.5023701162984575141479,-0.5400394193341752080428,0.2985422403364683119342,\ +1.5853347023892305767134,2.8298681106779470795232,1.57430200098008077347,\ +0.0085163822819922137264,2.34150280392945697727,0.9260267598505396158259,\ +1.935359947414732717519,-0.624580203843195791436,0.2899045962478056792655,\ +1.1098967555784207128511,0.6015796718407534493522,0.4088898624506622225816,\ +2.4110975561220100438220,1.194926943855234124925,0.8031086031385790136028,\ +0.7056759527365589201864,0.4529743829467441917913,1.4838629998186587677367,\ +-2.0715572287647061600069,4.2672653505633393322682,1.3529709414016093393940,\ +1.7293958649615748246475,0.6702228972280770413761,1.246418198725941284266,\ +0.8524596514683829839854,0.9764536278838282790105,0.7407821510692440547530,\ +0.8301521851442831279044,0.6387195724636756111181,0.6461301327556139284525,\ +2.7018352901688040823558,4.1613347047505291342873,-2.8343681862783589586741,\ +0.7623226303646806201186,0.9067568500030595002315,0.8723652455116047699235,\ +0.6696132906174546706168,0.7552700261493744404717,1.1992371819877765126705,\ +1.8643427000471699539474,0.9539854852947572405597,-1.8677739580920826867327,\ +1.9475448138625472971341,1.5369506397672023645384,0.5466606741068265051808,\ +0.9729193674298542982015,2.3999437957484786032580,1.4341047292357653741846,\ +0.5111837868275163065945,0.1111569790233604693164,1.091716362873146328738,\ +0.9138969247921984173644,0.7040484777727061826980,0.9721353920795816616618,\ +2.0373197284299586762302,0.8964067096914249965778,2.3355486655682877739082,\ +1.7093760866374785312161,0.2716303051904848664400,0.9460612941094431738165,\ +1.2762143042912967860758,-0.5352378220939374431353,1.1838129188764214827501,\ +0.3761598820395333775402,2.3805545048605618596582,0.7017854493503786761366,\ +0.9822084988099225588698,1.1648832392783827760496,0.9992994024245958062380,\ +0.1738523619678353504536,1.6004378914991708171556,1.3222645989799672872067,\ +1.6332603440938282535200,1.1558588483310223704592,0.8687697917589873863875,\ +-0.8204224950713523423218,1.4547791700377004087130,-1.0014359468702989097721,\ +0.0144439712508898226995,0.2674388703277625345400,1.0538721408636444465401,\ +0.1548583219344299433118,0.6953871836582313781250,3.5373520681952288491345,\ +1.0989946596859092586840,-0.8807918395297148483891,1.18456726702104053750,\ +1.6180875245455190736266,0.6615360547308598571092} + +#define ZRESULTI {0.8476313539717991174527,-0.0020945428347154504238,-0.0107702820990110675198,\ +-1.3194799051731675998411,-1.5788424410279275900137,0.0069265821924918190636,\ +-0.3180628434269115456523,-0.1158623505001605547005,0.2488922702434745726219,\ +0.3333162069042073238911,-2.7579550935532486377610,-0.0929722217314629395535,\ +-2.558018975124945360022,1.0673421965913736375597,-0.0202992468302341001751,\ +-0.5103135313335316336492,-1.0383893485568700398858,0.2955939972849115360276,\ +-0.3716363644745803163083,-0.669112301980219426056,-0.3318327753869652063656,\ +0.9035686841735829366584,-0.0067883075736271340089,-0.0021471806447879195068,\ +-0.1287847092516060110157,2.8852450693166233897102,-0.0010974001216119489213,\ +-0.1508680801994282949519,0.315705921414520418455,-0.2580859369524737267909,\ +-0.4893903475844605388545,-2.116294802120160856163,0.5953479459460185863051,\ +2.0617504351927595784844,0.3616928144472888462246,0.0048175006267416721831,\ +-3.1913265982599425818478,-0.0679428805767179483377,-0.3743690366783002931861,\ +1.6027053949682106281927,0.0107745309683946743906,0.8329399053511026274066,\ +0.0907062192789129806414,0.0408000708558418981320,0.1702419063491371065133,\ +2.5813113904964448686030,4.3826942657913274814518,-0.1250993995488117738191,\ +-0.366232782627764485994,0.1355060901825991537262,0.4285644238647245418683,\ +0.2943941929388677047896,-0.0242296816969479640591,-0.5347582943284873158163,\ +5.440972259812645539512,0.1130116459854922927875,-0.0230886388762507679950,\ +-0.0758567265188389433517,-0.0153004723200108137121,0.6705905748883707051533,\ +0.3580727041769314333841,0.5060754117432990639713,-0.0529558939424066774104,\ +0.8998620364333704824134,2.4830051583371242074350,-0.0075609544367582562363,\ +-4.5567155472995342080367,0.3858035723583744802667,-0.1243338609096430735779,\ +-1.9945093918095539997637,-1.2920941940088974675405,1.2080631306058675633608,\ +0.8083456169264077173509,-0.0085739065252298622688,-0.1660020282935961710713,\ +-0.0959540597572042242014,0.0927222427996397119410,0.2221508503381195154258,\ +-0.1409070089536773040528,0.1405249830722395676386,-0.0419169397939630830607,\ +1.0272672902510724401992,0.1050876648914500499643,-0.3835786757949954384195,\ +0.5298437409836795897178,2.9106995454114534815915,-0.0190217208337024913656,\ +-0.5609150372475696366692,0.1029355491400509997613,0.4090658874763115071538,\ +-0.0046870241505978906330,0.0668889266782490693464,0.7415168418856862286859,\ +-0.0168562013052173872985,0.3406253082923152986083,-0.4061399877851155082453,\ +0.2969570085375197732169,-0.3434409399238548266098,-0.9854495385788534234095,\ +-0.0867374346127948586682,0.3597999966335438393195,0.5808295174480837541608,\ +-0.9935741356819206560047,0.3096185219585154135835,-4.5479921396771585406782,\ +-0.4366900670417938612466,-0.9018465944214471008422,-0.5250881076401040514767,\ +-0.8025691478992442728924,0.0572684987995472974398,0.4945930961405698988997,\ +0.4034972398433521179051,0.7137454043276676429741,0.7512128888062908904644,\ +0.1939996418115135512483,-0.4464039676558783642513,1.3907357608014461192170,\ +1.17156541392215607367,-1.9708685366549760775712,0.3123022444724680712902,\ +-0.7896872395843760328304,-0.6179850212857144198253,0.9256883067644073870284,\ +-2.7417718288371224488742,-0.1326893078962607386284,-0.2491649089658723725815,\ +0.6490031468453125729212,-0.0039713278584005608923,-2.4386883505629461943442,\ +3.178543851545130305425,-1.0690676099739919724385,-0.0260882664072711288605,\ +-0.9060493921002102934992,0.6199896062130800800105,-0.1133779208230118323852,\ +-0.2723070216270195298414,0.6794632710962359434248,-0.1319558520667497847345,\ +-0.0528338647750857190455,-0.53278022650161005469,-0.1536737960232173183517,\ +-0.1415472283443244549961,0.0042545728383564943367,3.4486281529351474617329,\ +-1.3962363760387317412892,0.0515879186128369374154,-0.7852445756480942451461,\ +-1.0432119477148995567717,-0.3036586016327645909385,-0.8524640219222514581077,\ +-3.278864600929186412515,-0.7961629883628608128632,-1.1545100621855832745410,\ +0.3684195377039459207147,-1.6970666375940057779559,0.5849997270051815467795,\ +0.0618729525386339657134,-0.1749203390283090575608,-0.0606310989665877000943,\ +0.7892429044220883316285,-0.5178739198482895655928,-0.0418201497112469372519,\ +0.2095761220035197158751,-0.3550942958596610687927,-0.0867144455279654918778,\ +-0.4598945931287213850780,0.0685694193597463919065,-0.3559389766660929765862,\ +2.0119894555407911163059,-1.0947444956011096461879,-1.6288470340375438283331,\ +-0.2410820142960599099524,1.4659778142858674865323,0.6624490343288035321123,\ +0.4136536130989748594189,-0.9846866209581750517543,0.9510859925791920188587,\ +-0.3140825904492373088495,0.4344001304574144906034,0.0016042272632115935332,\ +-1.7199780122539785054414,-0.1872506113405222882839,0.4446357342161921244461,\ +-0.1745599221993578142875,0.4442139130537332003534,0.2767209124711134116126,\ +-0.0013781156561338940309,0.4254643497866397727769,-0.0032333769526939463469,\ +-0.0697738544158777868054,0.1581414947349125965648,-0.0415758240738434495243,\ +-0.8801521218406083146846,0.0803587769045229632914,2.1574882446469239027920,\ +-0.1027605757720615048401,1.0043017952229080780313,-1.8015810020856124484823,\ +0.0897692625606805599814,-0.2856956371820633111547} + + + + +void dcoshsTest(void) { + double in[]=SOURCE; + double res[]=RESULT; + double out; + int i; + + for (i=0;i<200;i++){ + out=dcoshs(in[i]); + assert(( (fabs(out-res[i]))/(fabs(out)) )<3e-16); + } +} + +void zcoshsTest(void) { + double inR[]=ZSOURCER; + double inI[]=ZSOURCEI; + double resR[]=ZRESULTR; + double resI[]=ZRESULTI; + doubleComplex in,out; + int i; + + for (i=0;i<200;i++){ + in=DoubleComplex(inR[i],inI[i]); + out=zcoshs(in); + assert( fabs(zreals(out) - resR[i]) < 1e-14); + assert( fabs(zimags(out) - resI[i]) < 1e-14); + } +} + +void dcoshaTest(void) { + double in[]=SOURCE; + double res[]=RESULT; + double out[200]; + int i; + double mon_test[9]={1,8,3,2,8,4,3,4,5}; + double mon_res[9]={1.5430806348152437124099,1490.4791612521778461087,10.06766199577776710328, + 3.7621956910836313880964,1490.4791612521778461087,27.308232836016486544395, + 10.06766199577776710328,27.308232836016486544395,74.209948524787861856566}; + double mon_out[9]; + dcosha(in,200,out); + + dcosha(mon_test,9,mon_out); + + for (i=0;i<200;i++){ + assert(( (fabs(out[i]-res[i]))/(fabs(out[i])) )<3e-16); + } + + for (i=0;i<9;i++){ + assert(( (fabs(mon_out[i]-mon_res[i]))/(fabs(mon_out[i])) )<3e-16); + } +} + +void zcoshaTest(void) { + double inR[]=ZSOURCER; + double inI[]=ZSOURCEI; + double resR[]=ZRESULTR; + double resI[]=ZRESULTI; + doubleComplex in[200],out[200]; + int i; + + for (i=0;i<200;i++){ + in[i]=DoubleComplex(inR[i],inI[i]); + } + zcosha(in,200,out); + for (i=0;i<200;i++){ + assert( fabs(zreals(out[i]) - resR[i]) < 3e-15); + assert( fabs(zimags(out[i]) - resI[i]) < 3e-15); + } +} + +int testCosh(void) { + printf("\n>>>> Double Hyperbolic Cosine Tests\n"); + dcoshsTest(); + zcoshsTest(); + dcoshaTest(); + zcoshaTest(); + return 0; +} + +int main(void) { + assert(testCosh() == 0); + return 0; +} diff --git a/2.3-1/src/c/elementaryFunctions/cosh/testFloatCosh.c b/2.3-1/src/c/elementaryFunctions/cosh/testFloatCosh.c new file mode 100644 index 00000000..979d8d64 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/cosh/testFloatCosh.c @@ -0,0 +1,497 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Arnaud TORSET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "testCosh.h" + +#define SOURCE {-1.205685175775274453613f,-0.8333271236779051793775f,1.2335774322243386880160f,\ +0.3311018349037936903123f,-0.8052653369328224286505f,0.1998487851928297531767f,\ +-0.8705427356398579563646f,0.1975294304937466050021f,0.9239335793216870706956f,\ +0.2378506537628061745515f,0.0049366873129022617595f,-0.669236585027300545647f,\ +1.0653101376824569701540f,-0.3369456198746673680766f,0.6204667311042414423738f,\ +1.6283002068610463730636f,0.7206914942876857521625f,1.7221990362694574727698f,\ +-1.0902216302137626158242f,0.2874486754733126536721f,-1.2122889745482419154854f,\ +1.8215917027079053802652f,2.8016558959521908889201f,0.4050930510541474460773f,\ +0.0617355341334478585624f,-0.4301267567705842620462f,-0.8284509700102783424924f,\ +1.0256901078279201389165f,1.525021231170059277105f,-1.3197460532844016434240f,\ +-0.4460647093896898951471f,0.5045503141647188494190f,-0.8098965560197782798113f,\ +0.4268132043604428993433f,-1.1336964590865461488534f,1.127146072313511160345f,\ +-0.9122705295277132586662f,-0.3089065753248803058995f,-2.3178211651402826909418f,\ +1.1439933378277502562526f,0.7005552213939509886842f,0.4233298618301614135717f,\ +-2.5208275627904130899992f,-0.2816183187535069021301f,0.7467093404219694585677f,\ +0.7637510409783198062073f,0.3396503036180347767647f,-0.9747149605661590276995f,\ +0.1472242280982364037722f,0.9901921384491637612157f,-1.2197737051905059857404f,\ +-0.4607952353595122785279f,-0.9492383290419380559300f,1.4160381392623584417834f,\ +-0.2758297498115374613015f,1.7324484611160422264931f,1.1368999048747294722261f,\ +0.8568173351546003457813f,0.3519313905007281362280f,-0.8897875910518927566883f,\ +0.2244273879422930551009f,0.2394303391704008243668f,-1.0382487030291693841377f,\ +-1.0129167707607047432816f,-0.3443356316152397234021f,0.9904626758703307665144f,\ +-0.5700286524862564485616f,-1.2143893416629112369520f,-0.7653327397314562130504f,\ +0.5932733856160632424093f,1.0109636831448121085941f,-0.2591906321322083317504f,\ +-0.6337213759172125593366f,-1.3891534527523830000462f,-0.7588209965122667544080f,\ +-0.7751521002127067516696f,-0.2569588781664822740858f,-1.1144881209346948480743f,\ +1.3683403773429958505403f,-1.3171565382517111952865f,-2.0066059395312958457680f,\ +1.1665757372971858885080f,0.1803963656727911035738f,-1.4583403177666438566007f,\ +-2.0738880513575592701159f,-0.7736713589363241050378f,-0.4690505767289738225934f,\ +0.5290181646318501407222f,-0.6366436437236088208280f,-0.1514973533385992610079f,\ +-0.4939237897364461837846f,1.2009977647347911400288f,-0.4479171393972471992839f,\ +0.7962022364285237241432f,1.0553131168098721648363f,0.6399283922940391944323f,\ +0.6404945676646236485396f,0.4718907579921589601213f,-1.1669004068172705856909f,\ +0.8239670665751658296116f,-0.5209824870944876895607f,-0.5564774733886624913382f,\ +0.677433403214317775287f,-0.9826152250790042286255f,-0.2301482766849789196595f,\ +1.5256623976111793883348f,-0.0141042499939363699668f,-0.2206563911375283293381f,\ +-1.2404617973010751974527f,0.4956722425079039262563f,-0.9198528977539149886766f,\ +-0.9204208417497926619788f,0.8313756689801026222852f,0.3180154749624292120913f,\ +0.2494121392443543194783f,1.9786862305439512077498f,-0.7539887840478504132946f,\ +-0.2522144002260635065049f,1.4817018679370650424687f,-1.1886013018444978595056f,\ +0.3497827881131843619222f,0.0164051036269147361424f,-0.3356971818656850903295f,\ +1.5387250556465030815190f,-2.2939395533776552049687f,0.5463520678571377464650f,\ +-0.6249598247747292223409f,-0.3795057983233444121041f,-0.6817850926970092650947f,\ +0.1137639445438838742275f,-0.3667643438770555319728f,0.7811095630972452186214f,\ +-0.6491897518190495874890f,-0.4116889792407164572197f,2.2135576248798094489700f,\ +-0.8117887004060938549443f,0.543890637094475826174f,-0.4300056333049381840361f,\ +-1.1073264735386671997475f,1.9600404811338050237168f,-1.1810889471038799047875f,\ +-1.5998650464994574882382f,0.2370987431342703177783f,-1.1837915340560738464148f,\ +-1.3250738110530209112881f,0.9867165393345800339375f,-0.4254735979103318466166f,\ +-0.1977286302171261667127f,-1.3843612904745590252986f,0.0058770971600078198913f,\ +1.6513137110120594819307f,-1.9479686718307542836470f,-1.1853539723928359084226f,\ +-0.1952876876932538308118f,-0.3910952467587283098993f,2.6051477231429984726674f,\ +-1.1685665444554920178177f,0.4303553159707447783866f,0.4980619697002917622974f,\ +-0.5945099409025637049453f,0.6251723753612481448982f,0.5667367529854526742028f,\ +0.2583522627447231712061f,-1.117334797621551301106f,-0.1572947959550771157566f,\ +-0.1675843890566963978461f,-0.4415529643720014774111f,0.0296777742804143623845f,\ +0.950535269366517221457f,-0.2023353295590510914082f,1.2240649283812428116391f,\ +0.8408743467009373029342f,0.7289489292828028599303f,-0.3650480390020546805907f,\ +0.7141089622210116116818f,-1.6330473677930090747878f,-1.2120035333729530790947f,\ +2.5522160888662996924836f,0.4631064145940361198583f,-0.0364246441804653570129f,\ +0.7308349560709582748430f,-1.059234312724760096458f,-1.5608743035213317185f,\ +0.7865883787823105821602f,-0.1899223202317779357617f,-0.4035214553331447628892f,\ +1.4993140466900047869103f,1.2050329976249689600820f,-0.2109320691913422751718f,\ +0.0478227589320652582416f,1.1080187662760754285785f,0.3698710666565526716809f,\ +-1.8629885917707584841452f,0.1117850228517819205498f,0.9930250182564113181627f,\ +1.2533428090752711803191f,0.5303160507909902010582f,0.2252859052932770778099f,\ +-0.7558035543285445134742f,1.1653980888802857318609f} + +#define RESULT {1.819266428064204577097f,1.3677812549451693335811f,1.8623697303215194231996f,\ +1.0553168123818659207558f,1.3421296845542964870646f,1.0200363222965405096687f,\ +1.403465448863383979727f,1.0195724536239654245406f,1.4580674176636316818900f,\ +1.0284200725097112361084f,1.0000121854655601438822f,1.2324226844271635172845f,\ +1.6231798706546742838697f,1.0573052784271492754442f,1.1987446423322825062030f,\ +2.64573472675944731947f,1.2711350583337506225945f,2.8877476825709762486838f,\ +1.6555376604226368364436f,1.0415986209192817923963f,1.829342489722003417540f,\ +3.171729047671292711641f,8.2663047019615358834699f,1.0831783845382449982253f,\ +1.0019062434070211686787f,1.0939395186073928023518f,1.3632471669518277934685f,\ +1.5737842316817938215223f,2.4064287835907673951397f,2.0048370085520934580359f,\ +1.1011474483510161892497f,1.1300087947090773354830f,1.3462897763229764169779f,\ +1.0924759182927643585970f,1.7144810122297002852321f,1.7053954010120264683792f,\ +1.4457904936509571314218f,1.048092245021622570533f,5.126007634597746331906f,\ +1.7289119973762236970316f,1.2555903810189259495189f,1.0909502538663513604433f,\ +6.2596397068650517780952f,1.03991721163594563748f,1.2919843250699158954120f,\ +1.3061137606130501787050f,1.0582378205813938176760f,1.5138557575271749389145f,\ +1.0108570760043096292691f,1.5316284576789631621807f,1.8408591504389772985917f,\ +1.1080580118223748442574f,1.4853883271417620548505f,2.1817178624460376035188f,\ +1.0382828245407387246502f,2.9156663093555850174710f,1.7189510624849844155904f,\ +1.390081256029065626123f,1.0625696729809925855648f,1.4226777259325882329932f,\ +1.0252897080419871578272f,1.0288006377558764903313f,1.5891703898572226982822f,\ +1.558389589207426872974f,1.0598715893830090717f,1.5319423704594259394440f,\ +1.1669134763143933497531f,1.8325639262468249590654f,1.3074443355436990987783f,\ +1.1812094824791219416227f,1.5560581683472911596056f,1.0337783603024415235438f,\ +1.20761220067196339834f,2.1303694894256701708457f,1.3019874017358665785338f,\ +1.3157780065006974279385f,1.0331959861022277369358f,1.6880453716815839726451f,\ +2.0916769731603670479103f,2.000344096331303500591f,3.7862367743494589333864f,\ +1.7612050492619382158210f,1.016315598810441089839f,2.2657204820986769355784f,\ +4.0406956659153259181494f,1.3145132010698166169504f,1.1120358920747182018829f,\ +1.1432241110320022769997f,1.2095957312624510127108f,1.0114976895400229484068f,\ +1.1244804773055134816673f,1.8121625561683152305648f,1.1020033178144590380043f,\ +1.3340717665795371882353f,1.6104789889363373411868f,1.2118376325588768871455f,\ +1.2122253780682052948237f,1.1134219567585550425548f,1.7616758393639733171199f,\ +1.3591064226145659343814f,1.1388088791439558988827f,1.1588706347019575026991f,\ +1.2383685118981913042546f,1.5228821862471519921201f,1.0266012226158198750170f,\ +2.4078326713444666573594f,1.00009946658283555010f,1.0244435586923690273409f,\ +1.8732301190987417083278f,1.1253813439974511556585f,1.4537494816372256156711f,\ +1.4543489946263667977888f,1.3659627989922018542757f,1.0509945293445170921842f,\ +1.0312647772215886021741f,3.68574234301369418887f,1.2979736367142225006432f,\ +1.0319750139115386744493f,2.3138394341351444793986f,1.7935669311616093679618f,\ +1.061800258350523940010f,1.0001345667304306630285f,1.0568774415753066087120f,\ +2.4366507835843460583192f,5.0073927789679837374592f,1.1530000373394655444059f,\ +1.2017269174685778487799f,1.0728807813362080114672f,1.2415589372685298386045f,\ +1.0064780997777151849704f,1.0680153713756039834948f,1.3208958764713327749263f,\ +1.2182291644802725194552f,1.0859476120918869490595f,4.6287577582643999463130f,\ +1.3479977392146349490787f,1.1515908109414143556393f,1.0938858068153072267137f,\ +1.6783490081276506433738f,3.6202335893551729206763f,1.782432142455154355787f,\ +2.5771439034538188295187f,1.0282398297270358700217f,1.786426290897340729558f,\ +2.014123198363930722365f,1.5276055774381211982f,1.0918876182447221356853f,\ +1.019612078038364622046f,2.1213794605936713288941f,1.0000172701852236833986f,\ +2.7028112826383159372767f,3.5784939357816578642257f,1.7887413660887121480414f,\ +1.0191293197498234590626f,1.0774575372953134611009f,6.8035582731627464170288f,\ +1.764094760751516499653f,1.0940409161295887585652f,1.1266181837435944590453f,\ +1.1819878003429369339727f,1.2018685976750431709803f,1.1649400331120620677439f,\ +1.03355898490236453036f,1.6919235891909962798962f,1.0123963536864837298168f,\ +1.0140751587041334502715f,1.0990787112389970303639f,1.0004404174672476557362f,\ +1.4868140745992959317334f,1.02053972356750688455f,1.847508472372893173485f,\ +1.3748631970003435398553f,1.2776582369190518928548f,1.0673732569157268201820f,\ +1.2659971203245654614022f,2.6573926189895762384197f,1.8289053177424414720065f,\ +6.4567128779259412851843f,1.1091640429888753871523f,1.0006634506999989575604f,\ +1.2791603587689326371191f,1.61544148317066760256f,2.4864680737312045977205f,\ +1.3256439332679719189656f,1.0180895207546800662612f,1.0825255238019519943293f,\ +2.3509495822805339670936f,1.8182756477804529193776f,1.0223287733363202178793f,\ +1.001143726087694751925f,1.679282557162007583074f,1.0691856802487731403772f,\ +3.2990857486037623580444f,1.0062544545151006492034f,1.5349210973541418390198f,\ +1.8937893477592186997072f,1.1439441561926790846826f,1.0254843822262098562703f,\ +1.2994774746280413069144f,1.7594989466591723914490f} + +#define CSOURCER {-0.8912345066950769778558f,-0.0058415661764856371616f,0.8327394520710053038570f,\ +-1.3031116495573464852953f,1.3063996947557070527068f,-0.3291212350984021872691f,\ +-0.4314780628860441225036f,0.3257069146291299843732f,0.2704533752036020199938f,\ +0.3948286552396417792288f,1.7413456505609685720515f,-0.0929389968439678221257f,\ +-1.7740482961163070996236f,-0.9310406640182858906130f,1.0558482448966843847415f,\ +0.5302093445317125341987f,0.9099214704748677107204f,-1.3248358105760951186625f,\ +-0.5468817390748145212953f,-0.8462613338460863721124f,-0.8447436284186202737345f,\ +-1.201032047282137193989f,0.0724835993626015417934f,0.0038054949984360143984f,\ +-0.1410382163048108095094f,-1.7842189597096504982687f,0.0501420738427398662851f,\ +-0.2334922077300364828822f,1.5945984531602754863400f,-0.3238241601909672695569f,\ +1.513308285995593083229f,1.5778451444411625281816f,1.3691912706993336623640f,\ +1.748251159750787042668f,0.6019009531079806407661f,0.0153371667399079970179f,\ +-2.11368074169300124154f,0.0736235546297408505190f,1.16364818469077779817f,\ +-1.7239586420846975123311f,-0.1812698216235553161368f,1.3506264987504341679170f,\ +0.1572244306209917286132f,0.0637660966151842728555f,-0.1712993899334549763314f,\ +1.9516485698976029361518f,2.845403039274271073111f,0.2554082947132658709677f,\ +0.3587738434809014664850f,1.6800084635178351710749f,-0.7143150645295742728891f,\ +0.3176042681985608573392f,0.1918613409687800752668f,-0.8669525494355047046113f,\ +-2.486482303849266717322f,-0.3399076190046602663486f,-0.0275599140270330646152f,\ +0.0760891140551305106277f,0.0175525149136643889014f,-1.0447511992604696651199f,\ +0.5928194662003063442057f,0.5337685538183976063920f,-0.1083277352156265110894f,\ +1.3163705916013288543809f,1.6481947619041572572485f,-0.0366427588652487520871f,\ +-2.24532677610144792979f,1.1646157862674424432470f,0.1931514629705824159789f,\ +-2.0280558458213828743055f,-1.588195044157987734224f,1.217389599860282611843f,\ +-0.7923310676779923289459f,0.4657912238712272334773f,0.6341322794098591675294f,\ +-0.2308714073795904986319f,0.0959191686134504700734f,-0.4119590516116395373380f,\ +0.9909317687163362586844f,-1.1184985773424866994930f,0.3764360122586650203580f,\ +1.0283807947333536425560f,0.4399875767202614529339f,-0.4587329057670580523265f,\ +-0.8383371473991714228902f,1.8010370613667443517869f,0.3638310348854316700340f,\ +0.5630372956104594539539f,0.5158868637708874382852f,0.6872616626544041373847f,\ +-0.0355020269914341005113f,0.8259138693919667595367f,0.6872047295901000385498f,\ +0.0739287007414783509107f,-0.7662836697323893719869f,0.4114094358620231095536f,\ +0.9046891131020067255974f,0.7464765051550138474923f,-1.2447871833324788415354f,\ +0.6121845724663061982795f,1.2932746927561220573466f,-1.3794546951962081138277f,\ +-1.0054979370864329801805f,0.304912140043878954199f,2.2462341404304981828943f,\ +0.8089620929537136850840f,0.9035087652875184449641f,1.3506573247795918835124f,\ +0.7844818177699410810533f,-0.0679273669198190016560f,0.4928294105013013015615f,\ +-1.096446680245239946316f,1.737658266453646849214f,1.2019686032899719041467f,\ +0.1928095667884118236124f,-1.5186389453508686298022f,-1.2473448039026917566f,\ +-1.489337044442988755577f,1.4654430117361589847036f,-0.3194353686893170451988f,\ +0.9845148496238763646815f,0.6602210723100759848236f,0.8588563891948870487880f,\ +-1.9910804060218119104775f,-0.6479512615308331557884f,0.3691293678246713727553f,\ +-0.71770775009329423888f,0.0044545145586906377197f,-1.7569208392800599316530f,\ +2.0338706868044176268029f,-2.1630248696548646236693f,-0.8178753147165283010622f,\ +-1.3281476236021181325242f,0.6822623476118111485178f,0.7066790730643729423477f,\ +-0.423530195967014910785f,-0.8514600115056394358248f,0.1911450421094866014560f,\ +-0.0937215291541069195347f,0.5968058072572121064425f,0.1973784591490661544100f,\ +-1.6526328643143648466918f,2.1042236280016610727728f,-2.19182144090441122231f,\ +-1.2142537279036162978230f,-0.1183253697043944729916f,-0.8801137301237593746350f,\ +-0.9900854927608483402324f,-0.4110378213905900302017f,-1.0605052107018932971982f,\ +2.0298978504498510488929f,0.9198308522281034571577f,1.4593911606425682414567f,\ +1.313234307458837291094f,1.5294344184237567141338f,0.6175875795682116420338f,\ +0.2031917147194874651017f,1.5255721310550354186120f,0.9034041242193133758320f,\ +-0.7761278947312221232480f,-0.4993921694234899066878f,-0.4357874013090125009384f,\ +0.3873324791493603647119f,-0.4467287463644364353677f,-0.2545033653001004259053f,\ +-1.3746540854818518617719f,-0.1477740272607140914474f,-1.5074443625622220288562f,\ +-1.6715013742258788553841f,0.9592226709426125985658f,1.3640187263976746301353f,\ +0.7890452102613630946948f,1.2129240708363580036888f,-0.9486821752491236825477f,\ +-0.4274439849602727492517f,1.6129284060703097392f,0.9379949480470993750103f,\ +-0.5596964661999650481050f,-0.7987634619537844482551f,0.0324112900849305857198f,\ +1.314201571181351946294f,1.0612990922031533269632f,0.9227327442687582870207f,\ +1.0844570327567082390630f,-0.7983322787922396690519f,0.4385271461747112797802f,\ +0.0024102971394308028881f,-1.0118154904234695212750f,0.0705293335731081022510f,\ +0.0697245903762851448882f,-0.1632285547093744459968f,-0.3480161062719534514898f,\ +0.7985173205564675136259f,0.1109596610185162313122f,2.1081890906632976268043f,\ +0.4892671398131347992866f,1.0240089881181213549155f,1.4852757378982723857064f,\ +1.0644644981998814259327f,-0.3570451345877300175502f} + +#define CSOURCEI {-0.9898306808620782604180f,0.3667210055378663513537f,-0.0115516846422681774414f,\ +0.8852998822794806432768f,-1.1751393894807391493629f,-0.0206719580996688329089f,\ +0.7962831267090092479677f,-0.3570515343460327617464f,1.1412480529936015472003f,\ +0.9660799200593181979002f,-1.500080296017527903274f,1.5242908911731756216312f,\ +1.105363493233324723164f,-1.4826475597643153925276f,-0.0160696607830907479963f,\ +-1.1650712441016521925263f,-1.5029224597675916452744f,-0.1699343140216190151115f,\ +0.7034171630892511739575f,0.78048631235475940393f,0.3572706186066606504070f,\ +-0.6408324378966977485916f,-0.0937081428320361148332f,-0.5995006453733843221343f,\ +1.998069767982257660677f,-1.4952437710179469210203f,-0.0218783914582419587724f,\ +0.6948934249723224265693f,0.1340798946938218938474f,0.89984980932311908752f,\ +-0.2284707639451582783519f,-1.9920610974541457238729f,0.3296873301478878692805f,\ +0.8334316663655645385234f,0.6017800660861944983537f,0.3195021884236714515559f,\ +0.8984984730147690390467f,-1.9683562813815465020184f,-0.2621383110944355832039f,\ +-0.6316753727255608463764f,-0.0591493996271135885623f,0.4809775893765277920977f,\ +0.6120565292662866196949f,0.6937256492244192607188f,-1.4222204429149998272663f,\ +0.8456412639793806640398f,0.5364524335270092203487f,-0.5058105404615705902316f,\ +-1.5311811141279494385969f,0.0523506509744253098471f,-0.5845520117472021714988f,\ +1.1469635617104527725019f,-0.1258479133308397501789f,0.5773840158286764889795f,\ +-1.1474331349335626928365f,-0.3322391415499996170091f,0.9929767773460509427963f,\ +-1.660441950926221155171f,-1.0585630798226148829855f,-0.5685726288282663132279f,\ +2.5350425363467468109491f,1.1303214701472124037451f,0.5096756039133761850835f,\ +0.5467199129804439783342f,1.4455896704702442256973f,0.2077882393389256510119f,\ +1.3512301851415178255422f,0.2700167751147149464153f,-0.6941424124437390874576f,\ +0.5635246670082925124490f,0.5834755445761464764942f,0.9008533966882129595533f,\ +-1.170120921094221611014f,-0.0177589837851252312084f,-0.2475436907499060923410f,\ +0.4245903735389653377297f,1.3061684980078611673093f,-0.5518911372967175710258f,\ +-0.1216398923828668349190f,-0.1029994384259720480168f,-0.1089806892178883240829f,\ +1.0016946254399594629092f,0.2334205918306470894930f,0.9399822370279485861388f,\ +-0.5987819428189028458931f,1.4171477596181012437171f,-0.0511681877729818074263f,\ +-1.239060328697855206670f,0.1921278548938223085241f,0.5833400770787767752878f,\ +0.1323798905411992243852f,0.0725274151024776908558f,1.517150104931189957824f,\ +-0.2298162704468252326429f,-0.4156880360427151477332f,-1.2865870850947289660837f,\ +0.2915127708019566443731f,-0.4334207057720374511867f,0.6674221275639458106355f,\ +-0.1336045597099253245954f,0.2151665632136103845085f,-0.3174957202806932832218f,\ +0.9961380035737125160367f,1.5546597091479958940852f,-1.3388468039798184783251f,\ +-0.5065257499177515665423f,-1.0639142786788362560202f,-0.2959444267422965957337f,\ +-1.960038123367497275851f,-2.1398034807947201585421f,1.3019428580756020608078f,\ +-0.3083046332207799999914f,0.2621552778202266842378f,0.5195575373923391193642f,\ +1.56243573209724884165f,0.2068570860697496183178f,-1.0570132216452536866313f,\ +-0.5904609039323533981047f,-1.8482550680523897046470f,-1.291460161650367144404f,\ +-0.7557326141240545691602f,-1.0579108981634606223565f,1.2726680818341371548286f,\ +0.8679294400149879518125f,0.1923087263308917160831f,-0.7207099055968289036400f,\ +-0.9810187619058614583167f,-1.1007025532949878954270f,1.0502610988542768755138f,\ +2.1328376492581355705624f,0.2517811686949605887165f,0.0286045569084023044992f,\ +0.5426452678085846859091f,1.0007501149236575077595f,-0.1483667758019126259317f,\ +0.6740034918705165578601f,-0.7882925718203834808406f,-0.7561945904807015894633f,\ +0.5978999579905148742398f,-1.0006972818202708452873f,-0.8844110367528469351939f,\ +0.0563203493770412927377f,0.0010532695687821122445f,-2.2465253729529170989565f,\ +1.141716522775603870343f,-0.4500026076505115879556f,0.9053568457125464874480f,\ +1.1182847109018192455210f,0.8014435340539697305573f,0.7353172667964483766312f,\ +-1.0684850588765142376246f,-0.8549786389844856726583f,3.744686089807424789200f,\ +0.2152832470021692201634f,-0.8813298598480671097732f,1.096456876472062580419f,\ +0.3072305150928033579127f,-0.0799524082246828721177f,-0.0588190904677381790067f,\ +-1.1720572424194137806097f,1.4720320544391665151807f,0.0931276494198173265815f,\ +0.555984015411468357470f,0.8773397145008163811042f,0.3438026639727968514215f,\ +0.2511717975861258445036f,-0.4806220734748062883845f,0.1665649861790623464941f,\ +-0.9011922058627225284866f,-1.3882654124150977104080f,-1.0995275754970570414315f,\ +-0.2796226936636541648973f,1.8675624576106222285432f,-0.6479880884779005700835f,\ +-1.2193765127792735025736f,-0.4210708606718742141872f,1.074252254135527273604f,\ +0.5620287257728261431922f,-0.5121392183328929981201f,0.0495074962957085112913f,\ +-1.483551847645206089865f,-0.1477396930496895632867f,0.4331368024681788719832f,\ +-0.1336623009706502385185f,-0.5252621832336971108290f,0.6576305030526226058640f,\ +-2.5329417269156695446952f,-0.3644974785307753539776f,-3.0957701776748671740336f,\ +-1.5563868957442139606684f,-1.3037172144407160878643f,0.1173565633554439491260f,\ +-1.4546337195274263720535f,0.8077473947731041992171f,0.5608831835142086275070f,\ +-0.2032753128403547993042f,2.1656548569001641268983f,-1.0352617083883073334505f,\ +0.0703447174899709398721f,0.9001420266818445092838f} + +#define CRESULTR {0.7816146272263719829709f,0.9335239938948984850242f,1.3671418657595642009994f,\ +1.251053426889690234347f,0.7638235407866506010421f,1.05442571981112132029f,\ +0.7654863707154079266459f,0.9870695051633786576417f,0.4317842171461107048103f,\ +0.6134213525393761301530f,0.2077424772758102444747f,0.0466895952950193357522f,\ +1.360861123120397309094f,0.1290276167481773372803f,1.6109467398934755877349f,\ +0.4514742994866134950804f,0.0978899773240222564885f,1.9847014656066033211346f,\ +0.8795516810834358434334f,0.9805643961019996357464f,1.2914771272713012617572f,\ +1.45266805020831779593f,0.9982291599155850292391f,0.8256234470461548680120f,\ +-0.4185192299594263642959f,0.2310786951961565083291f,1.0010177538173574696145f,\ +0.7891557184270517888436f,2.5416517088949488467620f,0.6546112908226877635798f,\ +2.3190840475863043756988f,-1.0326993872554559583676f,1.9805065587758790002226f,\ +1.9896627954528611770257f,0.9782130127113016770934f,0.9495035596250852583111f,\ +2.6155274562386430226013f,-0.3882195415344683042669f,1.6969468407328636150311f,\ +2.3343766660435352200409f,1.0146967843242544748961f,1.8258003683547168183310f,\ +0.8286050933424484732370f,0.7704328385697075676219f,0.1502070282359266317762f,\ +2.3818436251417942628450f,7.4205579165122914631070f,0.9034699872486960936513f,\ +0.0421812525739015259374f,2.772183837530781680414f,1.05592364033954333458f,\ +0.4321743126982589000562f,1.0104075090452335761171f,1.172999728469012792331f,\ +2.4859521407117588509550f,1.0004516930864140178414f,0.546406215495572333829f,\ +-0.0897848836255507876114f,0.4902005853747226638006f,1.3459428245240352417511f,\ +-0.9702703286402243332276f,0.4885630407318873325018f,0.8780295479347596243613f,\ +1.70760011581548409865f,0.3365500801559331289781f,0.9791465640129676240022f,\ +1.0399586044108937166186f,1.694655018871175533590f,0.782984551558400743154f,\ +3.2677601373666536055396f,2.1277760759506403332f,1.14078060084558496889f,\ +0.5190124031043247265771f,1.1102812125309757806946f,1.1710705982540408065518f,\ +0.9356000257245263851402f,0.2627541871520008842644f,0.9248192933983879759907f,\ +1.521163371222483906564f,1.6845378275230893372338f,1.06533482774366716761f,\ +0.8498389444062255382306f,1.0685794539652364587567f,0.652956087446700861321f,\ +1.1336945232455741816580f,0.4760496137462009169639f,1.0655234579631518432308f,\ +0.3786859524519583519719f,1.1151440885209693565372f,1.0396183182135259048806f,\ +0.9918753196058325283246f,1.3573231183580980463432f,0.0667878216615050979144f,\ +0.9763703551872023878033f,1.1968339368077574036420f,0.3044649077728942554444f,\ +1.3772502379038416009394f,1.17234744424829684384f,1.4766671247289078205966f,\ +1.1826761905568310417891f,1.9143513147617730041361f,2.0066566439861803772260f,\ +0.8422630906406018969079f,0.0168918363185286551920f,1.0985590427740710151028f,\ +1.1765072536632881217145f,0.6974498887881349640239f,1.9699828668985011059789f,\ +-0.5023701162984575141479f,-0.5400394193341752080428f,0.2985422403364683119342f,\ +1.5853347023892305767134f,2.8298681106779470795232f,1.57430200098008077347f,\ +0.0085163822819922137264f,2.34150280392945697727f,0.9260267598505396158259f,\ +1.935359947414732717519f,-0.624580203843195791436f,0.2899045962478056792655f,\ +1.1098967555784207128511f,0.6015796718407534493522f,0.4088898624506622225816f,\ +2.4110975561220100438220f,1.194926943855234124925f,0.8031086031385790136028f,\ +0.7056759527365589201864f,0.4529743829467441917913f,1.4838629998186587677367f,\ +-2.0715572287647061600069f,4.2672653505633393322682f,1.3529709414016093393940f,\ +1.7293958649615748246475f,0.6702228972280770413761f,1.246418198725941284266f,\ +0.8524596514683829839854f,0.9764536278838282790105f,0.7407821510692440547530f,\ +0.8301521851442831279044f,0.6387195724636756111181f,0.6461301327556139284525f,\ +2.7018352901688040823558f,4.1613347047505291342873f,-2.8343681862783589586741f,\ +0.7623226303646806201186f,0.9067568500030595002315f,0.8723652455116047699235f,\ +0.6696132906174546706168f,0.7552700261493744404717f,1.1992371819877765126705f,\ +1.8643427000471699539474f,0.9539854852947572405597f,-1.8677739580920826867327f,\ +1.9475448138625472971341f,1.5369506397672023645384f,0.5466606741068265051808f,\ +0.9729193674298542982015f,2.3999437957484786032580f,1.4341047292357653741846f,\ +0.5111837868275163065945f,0.1111569790233604693164f,1.091716362873146328738f,\ 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+1.6180875245455190736266f,0.6615360547308598571092f} + +#define CRESULTI {0.8476313539717991174527f,-0.0020945428347154504238f,-0.0107702820990110675198f,\ +-1.3194799051731675998411f,-1.5788424410279275900137f,0.0069265821924918190636f,\ +-0.3180628434269115456523f,-0.1158623505001605547005f,0.2488922702434745726219f,\ +0.3333162069042073238911f,-2.7579550935532486377610f,-0.0929722217314629395535f,\ +-2.558018975124945360022f,1.0673421965913736375597f,-0.0202992468302341001751f,\ +-0.5103135313335316336492f,-1.0383893485568700398858f,0.2955939972849115360276f,\ +-0.3716363644745803163083f,-0.669112301980219426056f,-0.3318327753869652063656f,\ +0.9035686841735829366584f,-0.0067883075736271340089f,-0.0021471806447879195068f,\ +-0.1287847092516060110157f,2.8852450693166233897102f,-0.0010974001216119489213f,\ +-0.1508680801994282949519f,0.315705921414520418455f,-0.2580859369524737267909f,\ +-0.4893903475844605388545f,-2.116294802120160856163f,0.5953479459460185863051f,\ 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(i=0;i<200;i++){ + in=FloatComplex(inR[i],inI[i]); + out=ccoshs(in); + assert( fabs(creals(out) - resR[i]) < 3e-6); + assert( fabs(cimags(out) - resI[i]) < 3e-6); + } +} + +void scoshaTest(void) { + float in[]=SOURCE; + float res[]=RESULT; + float out[200]; + int i,j; + j=1; + scosha(in,200,out); + for (i=0;i<200;i++){ + assert(( (fabs(out[i]-res[i]))/(fabs(out[i])) )<1e-6); + } +} + +void ccoshaTest(void) { + float inR[]=CSOURCER; + float inI[]=CSOURCEI; + float resR[]=CRESULTR; + float resI[]=CRESULTI; + floatComplex in[200],out[200]; + int i; + + for (i=0;i<200;i++){ + in[i]=FloatComplex(inR[i],inI[i]); + } + ccosha(in,200,out); + for (i=0;i<200;i++){ + assert( fabs(creals(out[i]) - resR[i]) < 3e-6); + assert( fabs(cimags(out[i]) - resI[i]) < 3e-6); + } +} + + +int testCosh(void) { + printf("\n>>>> Hyperbolic Cosine Tests\n"); + scoshsTest(); + ccoshsTest(); + scoshaTest(); + ccoshaTest(); + return 0; +} + +int main(void) { + assert(testCosh() == 0); + return 0; +} diff --git a/2.3-1/src/c/elementaryFunctions/cosh/zcosha.c b/2.3-1/src/c/elementaryFunctions/cosh/zcosha.c new file mode 100644 index 00000000..a7f59136 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/cosh/zcosha.c @@ -0,0 +1,20 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "cosh.h" + +void zcosha(doubleComplex* x, int size, doubleComplex* y) { + int i = 0; + for (i = 0; i < size; ++i) { + y[i] = zcoshs(x[i]); + } +} diff --git a/2.3-1/src/c/elementaryFunctions/cosh/zcoshs.c b/2.3-1/src/c/elementaryFunctions/cosh/zcoshs.c new file mode 100644 index 00000000..a4c072fd --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/cosh/zcoshs.c @@ -0,0 +1,21 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +/** cosh(z) = cos(i z) */ + +#include "cosh.h" +#include "cos.h" + +doubleComplex zcoshs(doubleComplex z) { + + return (zcoss(DoubleComplex(-zimags(z), zreals(z)))); +} diff --git a/2.3-1/src/c/elementaryFunctions/elementaryFunctions.vcxproj b/2.3-1/src/c/elementaryFunctions/elementaryFunctions.vcxproj new file mode 100644 index 00000000..e1029fb7 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/elementaryFunctions.vcxproj @@ -0,0 +1,1562 @@ +<?xml version="1.0" encoding="utf-8"?>
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\ No newline at end of file diff --git a/2.3-1/src/c/elementaryFunctions/exp/Makefile.am b/2.3-1/src/c/elementaryFunctions/exp/Makefile.am new file mode 100644 index 00000000..f8c73aa5 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/exp/Makefile.am @@ -0,0 +1,65 @@ +## +## Scilab ( http://www.scilab.org/ ) - This file is part of Scilab +## Copyright (C) 2008-2008 - INRIA - Bruno JOFRET +## +## This file must be used under the terms of the CeCILL. +## This source file is licensed as described in the file COPYING, which +## you should have received as part of this distribution. The terms +## are also available at +## http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt +## +## + +libExp_la_CFLAGS = -I ../../type \ + -I ../includes + +instdir = $(top_builddir)/lib + +pkglib_LTLIBRARIES = libExp.la + +libExp_la_SOURCES = $(HEAD) $(SRC) + +SRC = sexps.c \ + dexps.c \ + cexps.c \ + zexps.c \ + sexpa.c \ + dexpa.c \ + cexpa.c \ + zexpa.c + +HEAD = ../includes/exp.h + +#### +# Checking Part +#### + +check_INCLUDES = -I $(top_builddir)/src/c/elementaryFunctions/includes \ + -I $(top_builddir)/src/c/type + +check_LDADD = $(top_builddir)/src/c/type/libDoubleComplex.la \ + $(top_builddir)/src/c/type/libFloatComplex.la \ + $(top_builddir)/src/c/operations/addition/libAddition.la \ + $(top_builddir)/src/fortran/lapack/libscilapack.la \ + $(top_builddir)/src/c/elementaryFunctions/cos/libCos.la \ + $(top_builddir)/src/c/elementaryFunctions/sin/libSin.la \ + $(top_builddir)/src/c/elementaryFunctions/cosh/libCosh.la \ + 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new file mode 100644 index 00000000..1c98e0e0 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/exp/cexpa.c @@ -0,0 +1,20 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "exp.h" + +void cexpa(floatComplex* x, int size, floatComplex* y) { + int i = 0; + for (i = 0; i < size; ++i) { + y[i] = cexps(x[i]); + } +} diff --git a/2.3-1/src/c/elementaryFunctions/exp/cexps.c b/2.3-1/src/c/elementaryFunctions/exp/cexps.c new file mode 100644 index 00000000..3be3b01f --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/exp/cexps.c @@ -0,0 +1,23 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "exp.h" +#include "cos.h" +#include "sin.h" + +floatComplex cexps(floatComplex z) { + float real = creals(z); + float imag = cimags(z); + + return FloatComplex(sexps(real)*scoss(imag), + sexps(real)*ssins(imag)); +} diff --git a/2.3-1/src/c/elementaryFunctions/exp/dexpa.c b/2.3-1/src/c/elementaryFunctions/exp/dexpa.c new file mode 100644 index 00000000..3907b174 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/exp/dexpa.c @@ -0,0 +1,20 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "exp.h" + +void dexpa(double* x, int size, double* y) { + int i = 0; + for (i = 0; i < size; ++i) { + y[i] = dexps(x[i]); + } +} diff --git a/2.3-1/src/c/elementaryFunctions/exp/dexps.c b/2.3-1/src/c/elementaryFunctions/exp/dexps.c new file mode 100644 index 00000000..c244c684 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/exp/dexps.c @@ -0,0 +1,18 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include <math.h> +#include "exp.h" + +double dexps(double x) { + return (exp(x)); +} diff --git a/2.3-1/src/c/elementaryFunctions/exp/sexpa.c b/2.3-1/src/c/elementaryFunctions/exp/sexpa.c new file mode 100644 index 00000000..733e4b37 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/exp/sexpa.c @@ -0,0 +1,20 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "exp.h" + +void sexpa(float* x, int size, float* y) { + int i = 0; + for (i = 0; i < size; ++i) { + y[i] = sexps(x[i]); + } +} diff --git a/2.3-1/src/c/elementaryFunctions/exp/sexps.c b/2.3-1/src/c/elementaryFunctions/exp/sexps.c new file mode 100644 index 00000000..643e8873 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/exp/sexps.c @@ -0,0 +1,18 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include <math.h> +#include "exp.h" + +float sexps(float x) { + return (expf(x)); +} diff --git a/2.3-1/src/c/elementaryFunctions/exp/testDoubleExp.c b/2.3-1/src/c/elementaryFunctions/exp/testDoubleExp.c new file mode 100644 index 00000000..a56e13fd --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/exp/testDoubleExp.c @@ -0,0 +1,499 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Arnaud TORSET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "testExp.h" + +#define SOURCE {0.2179693998688542744269,-0.0965447246339290049422,0.7336822469173450711466,\ +0.1536179219946321450330,2.4661907147341337598334,0.6332832861607330388054,\ +0.4890665386763063948727,-1.2667347141842044688786,0.1055086446255857485221,\ +-0.5936826571652784600985,-0.7816336465253074239357,-1.2815191120322371176599,\ +-0.9972908908531801230879,-0.5763370349806613557320,0.3762718127153176217448,\ +-0.8343599392689131644119,-1.0647534449045219506758,0.8534997909421322415113,\ +0.4306578956143343739349,0.5321132560429659985601,1.5974906319789743402993,\ +0.7312358120089610391545,0.4431279991113933891533,0.0087064913021668820237,\ +-0.8280501749431711244753,-1.0000194068543815095751,-0.8231062295149559338014,\ +-1.014391306624823796412,0.9121054970139131912177,-0.3855306050210344781526,\ +-0.2598191828862038144088,-0.0831341089570867414205,1.6949336044621277075350,\ +0.2429392861367114797577,1.8753502720069497033961,0.1984146246369250243813,\ +-0.7119008641532499348514,0.2504295152565002013922,1.8412596530958635909769,\ +-0.8228059182439799723596,0.6769888144769687920999,-0.4970822573553836942750,\ +0.0527831065241245664388,0.9397902577952749192391,-0.1148979773734264131502,\ +0.0647134776331551031525,0.3730550115687696344224,1.8451193005461747898011,\ +-0.5388550697275177325807,0.9483924031089353556823,0.0149553330989996690475,\ +0.3492458987360779198994,0.6782119558587149654727,-1.0638111247721440122405,\ +-0.0013200516387791912543,0.5311672327771198576229,-0.6446734157979014945283,\ +0.7518088875179287366990,-0.6321033286458267452801,-1.7783294717850963717609,\ +-0.9695340176537615706209,0.0585248375044749719054,-0.4174672618194515405499,\ +1.067002270541741681953,-0.1107931733964626630495,0.9733263412399585368107,\ +-1.5676178926909869471018,1.5082394419009976793689,1.4975531724590585014312,\ +0.0773364211376570409584,0.8296923447513622207339,-0.9966607229071756668404,\ +-0.5179876589725144198084,0.4414952679928694223577,-0.8736872755871413209761,\ +-0.0349791375435402618344,0.9274876201813765375093,0.4517463561226834900530,\ +-0.9961910310034214344199,-0.4760507657625145383484,0.2735565496341169633432,\ +-0.8683706445498747816814,-0.5819104976015757602070,1.0334934603683001430596,\ +1.3664069352627037368109,0.7304950466471921144418,-2.2795501799654798169570,\ +-0.3686784792993444970222,-1.2288389604009317679356,-1.372993238103811464157,\ +0.4327366693143714915237,-2.5372469745505505933636,-0.6466940204055214858059,\ +0.3727678446055545102844,-1.2012067538727111415398,-0.4120248811585083825726,\ +-0.1824358873620524901238,-0.7071004997444696460462,-0.0734584462405756949410,\ +0.4857107830752938615326,-1.5839443933479926407415,-2.6376393427060378371607,\ +-0.1810786671588598961691,0.8157163062709066325695,-0.3867087459826359374659,\ +0.4198660262170845203222,-0.6048459538042058047935,0.7659922557941690746119,\ +0.7134643264223192726803,0.1349874125377001632398,0.9411487010623025284417,\ +-2.1973029826905001726800,-1.9520696706230427075468,-1.2525761477383645647876,\ +0.3859074186443228193788,2.7807429866034785170825,-0.4523923998873963236989,\ +1.585571863180605944876,-0.8857651118640259557679,1.3802479208151854361830,\ +-0.3327040930736118173883,-0.2328335442849216174732,-0.7859150581069940244561,\ +-0.7298755566585160003967,-0.2812060079915064125800,-0.5573134267677620767856,\ +-0.5509002031358800621774,1.5296906305375963519566,-0.5702710404977533453774,\ +-1.3692402567978680938410,0.1826473558262797503016,0.1798346311903204763905,\ +0.4425890891364235302241,-0.9017692018513575602512,-1.4772671313778520385540,\ +0.4118240527515873439235,-0.3831680771908100302525,-1.7286187555088927680913,\ +0.9581454530897092203290,-0.4289057042708049327651,-1.2735233142733974887051,\ +0.7534058867095866363073,0.4695440194018555835065,-1.4064759963786124252749,\ +0.4697098567590811124539,-0.4910731440349740406504,0.9955428392828012951199,\ +1.1510113490256201895789,-0.1082632054930593029640,0.4856574660939540488691,\ +2.8432492089162182402617,-0.2526776656626389394589,-2.1526240294434693112180,\ +-0.1700067035996372932782,-1.2942848891673066624719,0.3501843381023743151381,\ +0.1214335524018897854992,-0.0093577680302103644072,-0.8404790744305570271422,\ +-0.2709432496692772418534,2.129923383430207373124,0.1924976275921922719281,\ +-0.9958949135265199315015,0.5029057807067898178133,2.1223686722196575260568,\ +0.0454634212534271303641,0.9495546668659169409210,0.9477155819428292327089,\ +2.5219360071943213164047,0.6965268573783115479969,1.0778432726775772909633,\ +-2.5098595900849196560500,0.4486528645511871360441,-0.4241938936353907840804,\ +-0.1335517966712884141423,-0.1078744374453666915459,0.2327494623534509532448,\ +0.9351842746020352370451,0.5235744811910800766697,-0.0660252647673259390748,\ +-0.5945113005344258017004,0.8805986363667026584068,1.4189560003612493588321,\ +1.409077916250558226707,0.696455894185944335284,0.90951587071067696577,\ +-0.3637587731642325517001,-0.6227550415243503501017,-0.8451138025419450139353,\ +-0.9376931811420606832641,-0.5548689487135263220807,-0.5854929781645817898905,\ +1.2660172290794624583299,0.5877121654077364087954,-1.2764933780334013491142,\ +0.7392453034050661120347,0.3032161878585472591929,-0.4000095029594706308451,\ +0.6502681159628262985706,1.845716594779029051665} + +#define RESULT {1.2435490142739233920821,0.9079692880976051316821,2.0827356520772775105854,\ +1.1660452814005672905751,11.777497445956059962668,1.8837854434705150197260,\ +1.6307932268341887027674,0.2817501160466636123125,1.1112757110437740948328,\ +0.5522896416607726566284,0.4576577492819154380221,0.2776152512958051654657,\ +0.3688774179340663095239,0.5619530154526948262372,1.456843068428832488337,\ +0.4341522763440999188589,0.3448128596551297553319,2.347849472141609439291,\ +1.5382692112870990364115,1.7025263838493789325668,4.9406190246302923441135,\ +2.0776466024256405873416,1.5575716893750450875444,1.0087445030337489626504,\ +0.43690033557496926742,0.3678723018579735937195,0.4390656952911728971856,\ +0.3626230889407328072949,2.489558777574301107194,0.6800896814511222521205,\ +0.7711910177313587855252,0.9202277281636028760659,5.4462843442294808227189,\ +1.2749912121263455855313,6.5231035807982653551562,1.219467910454189230052,\ +0.4907105362925133218432,1.2845770436515608903250,6.3044747124787887671005,\ +0.4391975714691279120139,1.9679429600133448996502,0.6083029443616727593991,\ +1.054200971008417697661,2.5594445384876851612432,0.8914570880611734082777,\ +1.0668533032547884431551,1.4521642234675371518904,6.3288547811978252966014,\ +0.5834158405874197983465,2.5815562199289581180039,1.0150677236735847763782,\ +1.4179978313495280595191,1.9703515051800046808950,0.3451379368940441505487,\ +0.9986808192461388289374,1.7009165158858785549256,0.5248339165868535216575,\ +2.120832897097891578397,0.5314727626805419991030,0.1689200974890469886258,\ +0.3792597252702665788782,1.0602713198612101486162,0.6587130565620143984873,\ +2.9066530672450663352890,0.8951238652136722651065,2.6467337728218058856555,\ +0.2085413590449486931355,4.5187682330848559786318,4.4707365550132545095607,\ +1.0804054865026515575011,2.2926132972391299880144,0.3691099459169989716045,\ +0.5957181306287809841038,1.5550306685748274126979,0.4174096039635283306168,\ +0.9656255613686579586386,2.5281495201925832105871,1.5710534099579722688844,\ +0.3692833545913285497875,0.6212319441335979464114,1.314631699051673319190,\ +0.4196347266560193634000,0.5588297032433613420466,2.810868359578304609414,\ +3.921236098173682904644,2.076108123684798468,0.1023302265504790059536,\ +0.6916477537748028092679,0.2926321380214171319345,0.2533474941164985949626,\ +1.5414702508327886576467,0.0790838201409621577298,0.5237745054427331847791,\ +1.4517472697479263388232,0.3008309638501235339092,0.6623077968618373834175,\ +0.8332380633061603480982,0.4930717885873925898643,0.9291747556935816554358,\ +1.6253298553258777037200,0.2051642515979318348585,0.0715299280520010488660,\ +0.8343697186187617464981,2.2607945137747993413768,0.6792889117422631350962,\ +1.521757666329790259496,0.5461585538073224777023,2.1511277850444776582606,\ +2.0410498879452951825897,1.1445223776283628414063,2.5629237613167004106174,\ +0.1111023997465931806294,0.141979915628105440861,0.2857676680597394103245,\ +1.470948482105968180278,16.13100161483945527152,0.6361045134063019190762,\ +4.882082463582880116348,0.4123985215384664559934,3.9758872105147431419425,\ +0.7169823228043985530,0.7922854429887553617817,0.4557025166581872288596,\ +0.4819689641868314944340,0.7548728096296193346149,0.5727457220779371693808,\ +0.5764306720519700721894,4.61674832039780813631,0.5653721791738470781041,\ +0.2543000889430159783267,1.2003910225327127925254,1.1970193970806983774224,\ +1.5567325245923557819339,0.4058509918676029837314,0.2282606431186239848152,\ +1.5095688084830436448414,0.681698311719268423836,0.1775294522772180583203,\ +2.606857448284196188126,0.6512213336764225424247,0.279843904757457517807,\ +2.1242225714533806701922,1.5992647932168715385615,0.2450051627087996841681,\ +1.5995300330564117263776,0.6119693104596294341846,2.706192970479794457361,\ +3.1613885606985867582353,0.8973913670061375302822,1.6252431999544321161721,\ +17.171468681707562353722,0.7767182044255251938125,0.1161789005908738792172,\ +0.8436591610241814809257,0.2740938017114021296727,1.4193291609241254214169,\ +1.129114336496770620855,0.9906858796267230538035,0.4315037514894317638436,\ +0.7626597763715156075293,8.4142221179071938763627,1.2122736276966128432520,\ +0.3693927220385589405005,1.6535190604459728547226,8.350894611450568660871,\ +1.0465127237901119539032,2.5845584134924157737601,2.579809559192972390207,\ +12.452681823131790395109,2.0067707887308077197019,2.9383355238494659467108,\ +0.0812796509085991214505,1.5662008789775083705820,0.6542970055839620879823,\ +0.8749821466412209813868,0.8977403119208263726492,1.2620652448583575822028,\ +2.547682887735915890914,1.6880507842731462542218,0.9361072134619135010070,\ +0.5518321800737933102710,2.4123433907357978434050,4.132803541818598880297,\ +4.0921803308889375117019,2.0066283869219931901284,2.4831200911745119341845,\ +0.6950588413666404230540,0.5364644180251368910106,0.4295084762729607374965,\ +0.3915299831612857883734,0.5741474990346947526731,0.5568312884718313870991,\ +3.546698706809571000065,1.7998659059051445030519,0.2790139835869558937453,\ +2.094354315836046254162,1.3542071959523713786666,0.6703136760416763539894,\ +1.916054484944200275720,6.3326360988263932227937} + +#define ZSOURCER {0.4962097263673624913949,0.8910778018246798826141,0.0947801220713381104011,\ +-0.4603936178711778848260,-1.0252845699539288037982,-0.98492140788616533431,\ +0.6666841978684399094846,-0.8284280082188715255143,-0.8087801325930177309687,\ +0.4980076621960153326896,0.7628920854029445086653,2.8126683658021311984498,\ +1.691339266824742670892,-0.658296432197564951316,-0.8165943259043131341457,\ +-0.153838313722479663737,1.0488069232465311308999,0.8083896014295570697783,\ +-2.5696290069516263265825,-0.1755006665720788838758,-0.4111892069294727503070,\ +0.4347439848326261624401,0.2238731702156319669506,0.1031628567688149950010,\ 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+1.0136746786541579457008,2.1053235388732902677589,0.3428728910762353088160,\ +0.5219502401364545240980,2.4645660104152655733856,0.0042184623117796499203,\ +0.4339378404381282194890,0.1212485246955130047120,0.5305120745426482598006,\ +0.4178714460322863755160,1.42725807301201368382,0.1083449257198766668697,\ +0.2290848259097614525448,0.5275132726780440428627,0.4939136954488312358791,\ +0.5598904753492991437369,2.8019267774958218630843,0.1010607343958155046604,\ +0.838703631682240602,3.9411880425167020725041,0.4367206268973685134860,\ +0.1919888550719570374792,-0.0150705892655913463452,1.1588916915452081024540,\ +1.1410183495054209146247,1.2356219575708369262657,0.4749404480211336654349,\ +0.8577273295080861670314,0.4048075578221899673004,2.7627080603314042583918,\ +0.1777810656017677348739,2.1021956426305754561668,0.2330964886175431460824,\ +5.66671671967639412060,0.4735105506685184928450,0.8882739731815125772130,\ +0.3935986079583607688548,1.1791667609118299253623,-0.0267606605538480354922,\ +0.6267669571981022702545,0.0659441611256419563114,0.1427681092204574897497,\ +0.2360440610261224370081,0.8400442654362825223302,0.4217500256271256020568,\ +0.4836741737176751265714,0.659708006511050548681,1.4679764549267637629981,\ +-0.5928767353529774686294,0.7133645918582519618312,-0.0417400106828591799246,\ +2.46953429512858368966,1.2982129272812710230056,-13.430164449559464756589,\ +0.0501008887550637785346,-0.0697374371031275891442,0.2574407425697148865673,\ +0.0575298048786480678563,1.5214153238495213837922,2.1695830700438989424583,\ +0.1752306830704533635590,0.6307656294349494041640,9.5316214402790411241995,\ +2.1288031244453153867369,0.6363319322612546180551,-0.3752333236632875990146,\ +0.3201657030914684676226,0.1778562682310512732542,0.2378885254191149545289,\ +0.5920073359495072740089,-0.1831081087669608753465,2.2719985676152019138385,\ +1.9544837479586136819165,0.6083604660209539494176} + +#define ZRESULTI {0.66789173388469347259,1.9929317082415038964172,1.0134693185160317252524,\ +0.4685368189063157107199,0.0192861086704356442245,-0.1432921900711904839021,\ +1.9021551721948490865088,-0.2416937871379007396477,-0.3698944066530311935992,\ +-1.630400797414071512037,-1.53213128993891678498,8.5994415909131678432686,\ +-3.3657446415150640284253,0.2237921440211748103088,-0.0896829281433757230513,\ +-0.3897266612271670926937,2.6944436446476398572258,0.5128535974480390446928,\ +0.0674551867661900700357,0.3951923071518532726287,-0.1737389326052603821804,\ +-1.2977574398167355251843,-1.220297105474789312041,-0.5222431149169146635813,\ +0.2216906290760837783260,0.2445752865761168237668,0.4669490113374816231406,\ +1.983268587510182312528,0.6339653057626817300729,-1.1309555970451541373478,\ +0.2417594109687444814405,1.2901913158229225686568,-4.40337349863430294050,\ +-1.5425684980543696855904,0.2523692809573465090089,0.0955121010048793767089,\ +0.1372242993017437351355,0.5200557398879992465623,1.8081956965026793060503,\ +0.2489243937541025242233,0.1658522561714183829462,5.5692357559437404290748,\ +-0.0926616074754614826858,0.2704548071084568183764,-0.5999663537818090697229,\ +1.0049457307841926922976,0.6848514061793418150614,2.2823134654584236180597,\ +-0.1615224571979621548401,0.6804242491001384340876,-0.6188951521875099004433,\ +-0.2144424405243884335093,-0.9669529580119747835809,-1.1455586484969144667190,\ +0.3418574459217512129250,-0.6970321107785095726683,0.2369522455719338394076,\ +-0.2051372202341115724700,1.8654869710971573315561,0.9177784888023613474317,\ +2.2886105642667078363672,0.7272712824943110554443,0.5173355346085974915127,\ +-0.4383775740596613790245,1.7499274197824987719940,-0.3649863488832993385635,\ +-0.9529087376623858185454,0.7892565481221736067852,-5.2327138940157267299469,\ +5.9498471753939741191175,0.1827777741034706804335,-0.0516109653428112533091,\ +-0.2947431961312417803001,1.4188420873857061632606,-5.534739336307598733811,\ +-2.255013513539458447354,-0.4229165121855131270756,1.2028903349471207206989,\ +-0.0023812266691438442427,-0.1528305178806574626815,-0.3467892290786088183019,\ +0.1344033089941876202289,0.7027456808048029301972,-2.7761066302583010667604,\ +-0.1415572225289876973076,-1.9671936933888867216069,-0.1590647203810587884121,\ +0.1032177704018006486608,0.6858644064375456483873,0.5012535303694961585919,\ +0.2145546901849673948615,-1.6825191334017586264338,-1.3692428047734856999540,\ +0.6071558835309880386433,0.7048129294793062937785,-0.2550146122571063656004,\ +0.3727193608915256306524,0.388381095349859650767,-1.1552707405821953656755,\ +-0.1762073913025017923850,0.2856835610783352019659,-0.6826826797070948416035,\ +0.2414553165222597663764,-1.2645359787455874300832,-4.5934329346040874142432,\ +0.2899138963758796094794,-0.2765396421605960108892,0.7755744714874250878012,\ +-0.5133371708548779555059,-0.3840592062347947810430,-0.1752712350242682792789,\ +0.4264971552447213154480,-0.6075754177972138014852,0.7035454748522144141631,\ +0.2940690048846716919684,3.1502912129208726632612,-0.1636049555981854697340,\ +-0.66946985566275640789,-0.1859947683471395718513,-0.5966446238894932418972,\ +-1.1156829506070020663344,0.1927677941084386115111,-0.2009874518146967659060,\ +0.9790782744873792742268,-1.7340674208694739633074,0.7252463079270474732851,\ +-0.5716056662861231929540,0.2127452321317529204681,1.1366978856910239237266,\ +1.4821597980401888250412,0.5790353877850622499324,0.0948502955617512716335,\ +-0.5009900731541635510169,0.2411262068342296116530,-0.1136285464587050847429,\ +-0.0230670473414846290139,0.1765562266540864622133,-0.7297546590556842627251,\ +-0.0953969444497970303631,-0.1562582727501122537017,0.0526527844386815990774,\ +-0.4627604755682861448207,1.0716924742142539539458,0.1366141387590569244992,\ +-0.3665452417574971422098,-0.5756642515297435425126,-0.5549906098825418965248,\ +-0.0677059511108183409434,0.2774865464288255867409,0.5910566892682205253351,\ +0.8087239218207783464365,0.5623045509398011398972,-0.5238753172271245484026,\ +-0.4845296390188432167356,-0.1372866414817625335676,-1.3186482320231969200819,\ +-0.4982790611331439079024,0.2083797712931309276119,0.2186064764396851156647,\ +0.6738135687471651369407,0.2207138713569412324933,-2.3068359206298949537484,\ +0.2851861631055106482968,-0.2572412622481385358064,-0.5440918958783450554151,\ +-0.2513065277256731899769,-0.0926726651078676189055,-0.7210825269104839119194,\ +0.0332111240217310629830,1.4439889712068714189286,0.9755400591442719981927,\ +-0.7738329957764321642699,1.1548413262354173536295,0.0704326239228644929158,\ +-1.6002810307194081929083,0.0501692094503282184914,-1.6501195063537017482247,\ +1.012969261434880197115,-0.4600643435261628222399,-12.481321255158581706723,\ +0.4390187012381037146014,0.5228891202405995253244,1.5903431490098800527022,\ +0.0708411654197008272549,2.8815196278940593543894,-0.3318628781486120393751,\ +-1.218706228014425851924,0.6920752550579561956923,-0.9623724741584287478702,\ +-0.1367438235977035676516,0.8789505770880949864221,2.005732337058288017317,\ +-2.760719914038102906773,0.1937015573007111746140,0.0941350707005644549152,\ +0.5734318083679456057311,1.095987006643926342520,0.6740067391703287169591,\ +0.3834169282796987543449,0.6179115751021659885822} + + + + +void dexpsTest(void) { + double in[]=SOURCE; + double res[]=RESULT; + double out; + int i; + + for (i=0;i<200;i++){ + out=dexps(in[i]); + assert(( (fabs(out-res[i]))/(fabs(out)) )<3e-16); + } + + assert(( (fabs(exp(3)-20.085536923187671476398))/(exp(3)) )<3e-16); + +} + +void zexpsTest(void) { + double inR[]=ZSOURCER; + double inI[]=ZSOURCEI; + double resR[]=ZRESULTR; + double resI[]=ZRESULTI; + doubleComplex in,out; + int i; + + for (i=0;i<200;i++){ + in=DoubleComplex(inR[i],inI[i]); + out=zexps(in); + assert(( (fabs(zreals(out)-resR[i]))/(fabs(zreals(out))) )<3e-15); + assert(( (fabs(zimags(out)-resI[i]))/(fabs(zimags(out))) )<3e-15); + } +} + +void dexpaTest(void) { + double in[]=SOURCE; + double res[]=RESULT; + double out[200]; + int i; + + dexpa(in,200,out); + for (i=0;i<200;i++){ + assert(( (fabs(out[i]-res[i]))/(fabs(out[i])) )<3e-16); + } +} + +void zexpaTest(void) { + double inR[]=ZSOURCER; + double inI[]=ZSOURCEI; + double resR[]=ZRESULTR; + double resI[]=ZRESULTI; + doubleComplex in[200],out[200]; + int i; + + for (i=0;i<200;i++){ + in[i]=DoubleComplex(inR[i],inI[i]); + } + zexpa(in,200,out); + for (i=0;i<200;i++){ + assert(( (fabs(zreals(out[i])-resR[i]))/(fabs(zreals(out[i]))) )<3e-15); + assert(( (fabs(zimags(out[i])-resI[i]))/(fabs(zimags(out[i]))) )<3e-15); + } +} + +int testExp(void) { + printf("\n>>>> Double Hyperbolic Cosine Tests\n"); + dexpsTest(); + zexpsTest(); + dexpaTest(); + zexpaTest(); + return 0; +} + +int main(void) { + assert( testExp() == 0); + return 0; +} diff --git a/2.3-1/src/c/elementaryFunctions/exp/testExp.h b/2.3-1/src/c/elementaryFunctions/exp/testExp.h new file mode 100644 index 00000000..6f0a879f --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/exp/testExp.h @@ -0,0 +1,41 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2007-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#ifndef _TESTEXP_H_ +#define _TESTEXP_H_ + +#include <stdio.h> +#include <assert.h> +#include <math.h> +#include "exp.h" +#include "constant.h" + + +void sexpsTest(void); + +void dexpsTest(void); + +void cexpsTest(void); + +void zexpsTest(void); + +void sexpaTest(void); + +void dexpaTest(void); + +void cexpaTest(void); + +void zexpaTest(void); + +int testExp(void); + +#endif /* ! _TESTEXP_H_ */ diff --git a/2.3-1/src/c/elementaryFunctions/exp/testFloatExp.c b/2.3-1/src/c/elementaryFunctions/exp/testFloatExp.c new file mode 100644 index 00000000..f1099d4c --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/exp/testFloatExp.c @@ -0,0 +1,514 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Arnaud TORSET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "testExp.h" + +#define SOURCE {0.2179693998688542744269f,-0.0965447246339290049422f,0.7336822469173450711466f,\ +0.1536179219946321450330f,2.4661907147341337598334f,0.6332832861607330388054f,\ +0.4890665386763063948727f,-1.2667347141842044688786f,0.1055086446255857485221f,\ +-0.5936826571652784600985f,-0.7816336465253074239357f,-1.2815191120322371176599f,\ +-0.9972908908531801230879f,-0.5763370349806613557320f,0.3762718127153176217448f,\ +-0.8343599392689131644119f,-1.0647534449045219506758f,0.8534997909421322415113f,\ +0.4306578956143343739349f,0.5321132560429659985601f,1.5974906319789743402993f,\ +0.7312358120089610391545f,0.4431279991113933891533f,0.0087064913021668820237f,\ +-0.8280501749431711244753f,-1.0000194068543815095751f,-0.8231062295149559338014f,\ +-1.014391306624823796412f,0.9121054970139131912177f,-0.3855306050210344781526f,\ +-0.2598191828862038144088f,-0.0831341089570867414205f,1.6949336044621277075350f,\ +0.2429392861367114797577f,1.8753502720069497033961f,0.1984146246369250243813f,\ +-0.7119008641532499348514f,0.2504295152565002013922f,1.8412596530958635909769f,\ +-0.8228059182439799723596f,0.6769888144769687920999f,-0.4970822573553836942750f,\ +0.0527831065241245664388f,0.9397902577952749192391f,-0.1148979773734264131502f,\ +0.0647134776331551031525f,0.3730550115687696344224f,1.8451193005461747898011f,\ +-0.5388550697275177325807f,0.9483924031089353556823f,0.0149553330989996690475f,\ +0.3492458987360779198994f,0.6782119558587149654727f,-1.0638111247721440122405f,\ +-0.0013200516387791912543f,0.5311672327771198576229f,-0.6446734157979014945283f,\ +0.7518088875179287366990f,-0.6321033286458267452801f,-1.7783294717850963717609f,\ +-0.9695340176537615706209f,0.0585248375044749719054f,-0.4174672618194515405499f,\ +1.067002270541741681953f,-0.1107931733964626630495f,0.9733263412399585368107f,\ +-1.5676178926909869471018f,1.5082394419009976793689f,1.4975531724590585014312f,\ +0.0773364211376570409584f,0.8296923447513622207339f,-0.9966607229071756668404f,\ +-0.5179876589725144198084f,0.4414952679928694223577f,-0.8736872755871413209761f,\ +-0.0349791375435402618344f,0.9274876201813765375093f,0.4517463561226834900530f,\ +-0.9961910310034214344199f,-0.4760507657625145383484f,0.2735565496341169633432f,\ +-0.8683706445498747816814f,-0.5819104976015757602070f,1.0334934603683001430596f,\ +1.3664069352627037368109f,0.7304950466471921144418f,-2.2795501799654798169570f,\ +-0.3686784792993444970222f,-1.2288389604009317679356f,-1.372993238103811464157f,\ +0.4327366693143714915237f,-2.5372469745505505933636f,-0.6466940204055214858059f,\ +0.3727678446055545102844f,-1.2012067538727111415398f,-0.4120248811585083825726f,\ +-0.1824358873620524901238f,-0.7071004997444696460462f,-0.0734584462405756949410f,\ +0.4857107830752938615326f,-1.5839443933479926407415f,-2.6376393427060378371607f,\ +-0.1810786671588598961691f,0.8157163062709066325695f,-0.3867087459826359374659f,\ +0.4198660262170845203222f,-0.6048459538042058047935f,0.7659922557941690746119f,\ +0.7134643264223192726803f,0.1349874125377001632398f,0.9411487010623025284417f,\ +-2.1973029826905001726800f,-1.9520696706230427075468f,-1.2525761477383645647876f,\ +0.3859074186443228193788f,2.7807429866034785170825f,-0.4523923998873963236989f,\ +1.585571863180605944876f,-0.8857651118640259557679f,1.3802479208151854361830f,\ +-0.3327040930736118173883f,-0.2328335442849216174732f,-0.7859150581069940244561f,\ +-0.7298755566585160003967f,-0.2812060079915064125800f,-0.5573134267677620767856f,\ +-0.5509002031358800621774f,1.5296906305375963519566f,-0.5702710404977533453774f,\ +-1.3692402567978680938410f,0.1826473558262797503016f,0.1798346311903204763905f,\ +0.4425890891364235302241f,-0.9017692018513575602512f,-1.4772671313778520385540f,\ +0.4118240527515873439235f,-0.3831680771908100302525f,-1.7286187555088927680913f,\ +0.9581454530897092203290f,-0.4289057042708049327651f,-1.2735233142733974887051f,\ +0.7534058867095866363073f,0.4695440194018555835065f,-1.4064759963786124252749f,\ +0.4697098567590811124539f,-0.4910731440349740406504f,0.9955428392828012951199f,\ +1.1510113490256201895789f,-0.1082632054930593029640f,0.4856574660939540488691f,\ +2.8432492089162182402617f,-0.2526776656626389394589f,-2.1526240294434693112180f,\ +-0.1700067035996372932782f,-1.2942848891673066624719f,0.3501843381023743151381f,\ +0.1214335524018897854992f,-0.0093577680302103644072f,-0.8404790744305570271422f,\ +-0.2709432496692772418534f,2.129923383430207373124f,0.1924976275921922719281f,\ +-0.9958949135265199315015f,0.5029057807067898178133f,2.1223686722196575260568f,\ +0.0454634212534271303641f,0.9495546668659169409210f,0.9477155819428292327089f,\ +2.5219360071943213164047f,0.6965268573783115479969f,1.0778432726775772909633f,\ +-2.5098595900849196560500f,0.4486528645511871360441f,-0.4241938936353907840804f,\ +-0.1335517966712884141423f,-0.1078744374453666915459f,0.2327494623534509532448f,\ +0.9351842746020352370451f,0.5235744811910800766697f,-0.0660252647673259390748f,\ +-0.5945113005344258017004f,0.8805986363667026584068f,1.4189560003612493588321f,\ +1.409077916250558226707f,0.696455894185944335284f,0.90951587071067696577f,\ +-0.3637587731642325517001f,-0.6227550415243503501017f,-0.8451138025419450139353f,\ +-0.9376931811420606832641f,-0.5548689487135263220807f,-0.5854929781645817898905f,\ +1.2660172290794624583299f,0.5877121654077364087954f,-1.2764933780334013491142f,\ +0.7392453034050661120347f,0.3032161878585472591929f,-0.4000095029594706308451f,\ +0.6502681159628262985706f,1.845716594779029051665f} + +#define RESULT {1.2435490142739233920821f,0.9079692880976051316821f,2.0827356520772775105854f,\ +1.1660452814005672905751f,11.777497445956059962668f,1.8837854434705150197260f,\ +1.6307932268341887027674f,0.2817501160466636123125f,1.1112757110437740948328f,\ +0.5522896416607726566284f,0.4576577492819154380221f,0.2776152512958051654657f,\ +0.3688774179340663095239f,0.5619530154526948262372f,1.456843068428832488337f,\ +0.4341522763440999188589f,0.3448128596551297553319f,2.347849472141609439291f,\ +1.5382692112870990364115f,1.7025263838493789325668f,4.9406190246302923441135f,\ +2.0776466024256405873416f,1.5575716893750450875444f,1.0087445030337489626504f,\ +0.43690033557496926742f,0.3678723018579735937195f,0.4390656952911728971856f,\ +0.3626230889407328072949f,2.489558777574301107194f,0.6800896814511222521205f,\ +0.7711910177313587855252f,0.9202277281636028760659f,5.4462843442294808227189f,\ +1.2749912121263455855313f,6.5231035807982653551562f,1.219467910454189230052f,\ +0.4907105362925133218432f,1.2845770436515608903250f,6.3044747124787887671005f,\ +0.4391975714691279120139f,1.9679429600133448996502f,0.6083029443616727593991f,\ +1.054200971008417697661f,2.5594445384876851612432f,0.8914570880611734082777f,\ +1.0668533032547884431551f,1.4521642234675371518904f,6.3288547811978252966014f,\ +0.5834158405874197983465f,2.5815562199289581180039f,1.0150677236735847763782f,\ +1.4179978313495280595191f,1.9703515051800046808950f,0.3451379368940441505487f,\ +0.9986808192461388289374f,1.7009165158858785549256f,0.5248339165868535216575f,\ +2.120832897097891578397f,0.5314727626805419991030f,0.1689200974890469886258f,\ +0.3792597252702665788782f,1.0602713198612101486162f,0.6587130565620143984873f,\ +2.9066530672450663352890f,0.8951238652136722651065f,2.6467337728218058856555f,\ +0.2085413590449486931355f,4.5187682330848559786318f,4.4707365550132545095607f,\ +1.0804054865026515575011f,2.2926132972391299880144f,0.3691099459169989716045f,\ +0.5957181306287809841038f,1.5550306685748274126979f,0.4174096039635283306168f,\ +0.9656255613686579586386f,2.5281495201925832105871f,1.5710534099579722688844f,\ +0.3692833545913285497875f,0.6212319441335979464114f,1.314631699051673319190f,\ +0.4196347266560193634000f,0.5588297032433613420466f,2.810868359578304609414f,\ +3.921236098173682904644f,2.076108123684798468f,0.1023302265504790059536f,\ +0.6916477537748028092679f,0.2926321380214171319345f,0.2533474941164985949626f,\ +1.5414702508327886576467f,0.0790838201409621577298f,0.5237745054427331847791f,\ +1.4517472697479263388232f,0.3008309638501235339092f,0.6623077968618373834175f,\ +0.8332380633061603480982f,0.4930717885873925898643f,0.9291747556935816554358f,\ +1.6253298553258777037200f,0.2051642515979318348585f,0.0715299280520010488660f,\ +0.8343697186187617464981f,2.2607945137747993413768f,0.6792889117422631350962f,\ +1.521757666329790259496f,0.5461585538073224777023f,2.1511277850444776582606f,\ +2.0410498879452951825897f,1.1445223776283628414063f,2.5629237613167004106174f,\ +0.1111023997465931806294f,0.141979915628105440861f,0.2857676680597394103245f,\ +1.470948482105968180278f,16.13100161483945527152f,0.6361045134063019190762f,\ +4.882082463582880116348f,0.4123985215384664559934f,3.9758872105147431419425f,\ +0.7169823228043985530f,0.7922854429887553617817f,0.4557025166581872288596f,\ +0.4819689641868314944340f,0.7548728096296193346149f,0.5727457220779371693808f,\ +0.5764306720519700721894f,4.61674832039780813631f,0.5653721791738470781041f,\ +0.2543000889430159783267f,1.2003910225327127925254f,1.1970193970806983774224f,\ +1.5567325245923557819339f,0.4058509918676029837314f,0.2282606431186239848152f,\ +1.5095688084830436448414f,0.681698311719268423836f,0.1775294522772180583203f,\ +2.606857448284196188126f,0.6512213336764225424247f,0.279843904757457517807f,\ +2.1242225714533806701922f,1.5992647932168715385615f,0.2450051627087996841681f,\ +1.5995300330564117263776f,0.6119693104596294341846f,2.706192970479794457361f,\ +3.1613885606985867582353f,0.8973913670061375302822f,1.6252431999544321161721f,\ +17.171468681707562353722f,0.7767182044255251938125f,0.1161789005908738792172f,\ +0.8436591610241814809257f,0.2740938017114021296727f,1.4193291609241254214169f,\ +1.129114336496770620855f,0.9906858796267230538035f,0.4315037514894317638436f,\ +0.7626597763715156075293f,8.4142221179071938763627f,1.2122736276966128432520f,\ +0.3693927220385589405005f,1.6535190604459728547226f,8.350894611450568660871f,\ +1.0465127237901119539032f,2.5845584134924157737601f,2.579809559192972390207f,\ +12.452681823131790395109f,2.0067707887308077197019f,2.9383355238494659467108f,\ +0.0812796509085991214505f,1.5662008789775083705820f,0.6542970055839620879823f,\ +0.8749821466412209813868f,0.8977403119208263726492f,1.2620652448583575822028f,\ +2.547682887735915890914f,1.6880507842731462542218f,0.9361072134619135010070f,\ +0.5518321800737933102710f,2.4123433907357978434050f,4.132803541818598880297f,\ +4.0921803308889375117019f,2.0066283869219931901284f,2.4831200911745119341845f,\ +0.6950588413666404230540f,0.5364644180251368910106f,0.4295084762729607374965f,\ +0.3915299831612857883734f,0.5741474990346947526731f,0.5568312884718313870991f,\ +3.546698706809571000065f,1.7998659059051445030519f,0.2790139835869558937453f,\ +2.094354315836046254162f,1.3542071959523713786666f,0.6703136760416763539894f,\ +1.916054484944200275720f,6.3326360988263932227937f} + +#define CSOURCER {0.4962097263673624913949f,0.8910778018246798826141f,0.0947801220713381104011f,\ +-0.4603936178711778848260f,-1.0252845699539288037982f,-0.98492140788616533431f,\ +0.6666841978684399094846f,-0.8284280082188715255143f,-0.8087801325930177309687f,\ +0.4980076621960153326896f,0.7628920854029445086653f,2.8126683658021311984498f,\ +1.691339266824742670892f,-0.658296432197564951316f,-0.8165943259043131341457f,\ +-0.153838313722479663737f,1.0488069232465311308999f,0.8083896014295570697783f,\ +-2.5696290069516263265825f,-0.1755006665720788838758f,-0.4111892069294727503070f,\ +0.4347439848326261624401f,0.2238731702156319669506f,0.1031628567688149950010f,\ +-0.8488244709313933489270f,-1.4082269940133023133910f,-0.5694039300480933096793f,\ +0.6847821865673663355167f,-0.2355866905280663559097f,0.126244929305970754463f,\ +-0.7524531768104696372035f,1.547744870456928323321f,1.9472508676223883039569f,\ +0.4418443111187473348878f,-1.2649638329504953038196f,-1.8396310805312170444381f,\ +-1.8200055182230749917238f,-0.2830037881038854896687f,1.0167783703917296911357f,\ +-1.3736934824588333814432f,-1.6523791477656657455952f,2.0750211192468381860010f,\ +-2.2299199681252757088146f,0.0617102387651526432255f,-0.1883752530215108134115f,\ +0.2017498149536396945258f,-0.3785108864619266544338f,1.4258759859183376406122f,\ +-0.2179348061181922979745f,0.1732283900046150681984f,0.1667406411484310679860f,\ +-0.6517590587731293405582f,0.2359187276296556834421f,0.2867271206877638478616f,\ +0.0606400241806124770672f,-0.0258227029380159664451f,0.0208448589487377940188f,\ +-0.1006137675958410082622f,0.6887664099542869511339f,0.1558887949250353788244f,\ +0.8324928725743804269754f,-0.3151516259195137337201f,-0.3438938576674008262835f,\ +0.0533533125037666533519f,1.410105419112359426137f,-0.72771444778030081046f,\ +-0.0273112350183467821052f,-0.1234715201495915903873f,1.6876811670344133986532f,\ +1.7843408966113634139816f,0.4553194681918236175200f,-2.482440448619641859551f,\ +-0.5647234157267987386675f,0.4002741476630126693514f,2.0575413657607160011764f,\ +0.9910894257133318063779f,-0.8534666223545112062610f,1.0313921190741603961527f,\ +-0.5817813998765138938651f,0.6420267245927361310365f,-0.9597162563373448085358f,\ +0.1578963713606084673380f,-0.3170234887209238405781f,1.1563426252866808585651f,\ +-1.9325017123145520336891f,0.6854693920869295853393f,-0.5604369008834102494632f,\ +-2.2658178544445064517276f,-0.3315993869783789849137f,-0.3992162906900829644208f,\ +-1.538475385459755262474f,0.7929279218821023711428f,0.4799096678735629839530f,\ +0.3842559929950347674676f,-0.2870732232583454446306f,-0.5902902430980193626553f,\ +-0.7496420812260378152558f,-0.5047035567506975572982f,0.2586980379965187482050f,\ +1.5714132313006403673938f,-1.0578766388700049372318f,0.7485548459128271714391f,\ +-1.3801279040397811392893f,0.4597603556312274686313f,1.6137862227144141868962f,\ +-1.2277987398411676078780f,0.2068847811693011184975f,-0.2479337336106740286024f,\ +-0.3541997324021416981843f,0.1707344260894599619061f,-1.1381496515511626554940f,\ +-0.8140025532586576684224f,0.0735093571009233642810f,0.3035280587071761959628f,\ +-0.2782846453257922791913f,1.6871692459980407452491f,-1.323166422518824214549f,\ +-0.0753800807237546693917f,-0.4003058770927516718530f,0.4033101968714281615469f,\ +0.1113491527432870636938f,-0.8349617120636146916368f,-0.6907116891918870793532f,\ +-0.0170584241359153961082f,0.8194033291997417922659f,0.1556399708519044799981f,\ +0.1516310573630105518195f,0.7495489249293494360415f,0.1716685606331417590642f,\ +0.4519531238973814590842f,0.9288803038597209793537f,-2.3544674327002401703623f,\ +-0.4112942143200571387673f,-1.3097240599804396143924f,-0.6114852145918039383332f,\ +-0.8710601639646612381895f,0.3633484479767548624984f,-0.3041452834723618048329f,\ +-1.3937055405477738467823f,-0.5975281694506322516247f,-0.6997444046104884796122f,\ +-0.3196851144737095085091f,1.09857442199734944843f,-1.77236020622582612916f,\ +-0.0885003512087364219152f,1.3820373060805490883496f,-0.3478356988431264840145f,\ +-1.5917082966936921817336f,-1.2805101534361520432270f,0.2630673092127150392017f,\ +0.3354398592128065015316f,0.3056832398609472534190f,-0.3465598133034439864986f,\ +-0.0149898968435104897046f,-0.8499089854435717406034f,1.1188306614388350279654f,\ +-0.6366826455916885230124f,0.7478712286232889194793f,-1.1407898077101095157815f,\ +1.7416298413146675816421f,-0.6492757257758221545174f,0.9050061520410521698210f,\ +-0.7214302149042788325772f,0.1880549880800692907901f,-0.6074290437972867939820f,\ +-0.3926402375420063872724f,-2.1738375226761288416810f,-0.3077758151743882342188f,\ +-1.4339354091797107404460f,0.5131602976051053977002f,0.0609103217068958785463f,\ +-0.0915059705228822850565f,0.2851713506321221225370f,0.3850345796175008161732f,\ +0.5344891195679912776484f,-0.3352957511414503266600f,0.5011675332336322785665f,\ +0.9817842562968046582483f,0.3201410638941641906285f,2.908782756663177426759f,\ +-0.8167435983319983883177f,-0.6395703111646185989869f,0.4768832439562080693918f,\ +-2.3940570181394389415175f,1.181268742272832517060f,0.7860988797801938821053f,\ +0.2080213710796271764369f,-0.0657191135894376471382f,2.2596861347367309669210f,\ +0.7576187360739459197845f,0.0816850726713814895286f,0.713209526903904489359f,\ +1.0221713946590338384368f,-1.3357158672812421418286f,-1.3632163488573514342761f,\ +-0.1933486222136764076662f,0.1054205318382937656141f,0.8628332102807707570946f,\ +0.6890069943729065782279f,-0.1425645528482178403529f} + +#define CSOURCEI {0.4187679309893236334617f,0.9571040727588696617190f,1.172760842677368797737f,\ +0.8367787345559263290085f,0.0537934646406551114639f,-0.3937773223205939254754f,\ +1.7876375988580777143255f,-0.5864530819794440130721f,-0.9799596671663597380331f,\ +-1.435491321041636902933f,-0.7958478780018579668010f,0.5425829186077295585022f,\ +-0.6690160051984340716658f,0.4469912205186009623858f,-0.2043520888417388603475f,\ +-0.4718547031305261874046f,1.2345904036110504353729f,0.2305518055397126619965f,\ +1.0780366202665678798667f,0.4904320988250001067676f,-0.2652022209879114633679f,\ +-0.9976659763947106629445f,-1.349099117857334384496f,-0.4904839979026296425957f,\ +0.5445911400019642911730f,1.5676016792969027502380f,0.9705535858979048580153f,\ +1.562322752104617240576f,0.9312705713450669664510f,-1.491064034017491879425f,\ +0.5387480326121706353248f,0.2780267771815282396020f,-0.6792511192992195523388f,\ +-1.7001946270260519522566f,1.1064967394734230854425f,0.6449691334115315033415f,\ +1.010191395265231717460f,0.7617257042808376343856f,0.7130320908537892687917f,\ +1.3873980946032253847022f,1.0464400502880701893105f,0.7743318486747019502303f,\ +-1.0385544825558827852774f,0.2570923151837984921286f,-0.8100639413180467096609f,\ +0.9637587964856539901604f,1.5615765140914361630564f,0.5804915960065005764434f,\ +-0.2022297555607953933876f,0.6091855774356720321094f,-0.5513582447276994535912f,\ +-0.4240953703415643594177f,-0.8690915476323599619946f,-1.0352497689734347918744f,\ +0.3275700398280019243202f,-0.7970043301223290743707f,0.2341992112983941609627f,\ +-0.2288430429610794625273f,1.213479264737873375424f,0.9031823906644896871043f,\ +1.4754958638303785622981f,1.6520423035243945175665f,0.8178319166692843422695f,\ +-0.4286042039456253727181f,0.4413804125451418203241f,-0.8566414495458910538517f,\ +-1.3669367412247732662678f,2.0376720143917643746079f,-1.8253356531263227324757f,\ +1.5266365006585700392350f,0.1161871811298216261576f,-0.6659495480394291844206f,\ +-0.5450277852280467349999f,1.2558648076421243811041f,-0.7854748651398538727975f,\ 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+1.8452573890170231862840f,-0.5998455574460443973095f,0.5461062118050383773493f,\ +0.3989213456307151295377f,0.6223400150931739371885f,-0.661605777551548035476f,\ +-0.806522789665139905324f,-0.2812497112451433634028f,-0.4100128914055168882768f,\ +-1.50945722493549672194f,0.4603669785905236677692f,-0.4126050173509914209546f,\ +1.6611257451475334168123f,-0.8697907951355576816610f,0.6696537851786207307114f,\ +-0.5134482200325719558620f,0.1007092240430608326429f,1.2778361566544564897896f,\ +1.2322028231309287704676f,0.2307590408528507608388f,1.5263506644977615778203f,\ +-0.8569947230359247214437f,1.1048772379802629384216f,-0.2109985124170330184068f,\ +-0.0551453334787995949617f,0.1230778288705814127457f,-1.423405390861443020611f,\ +-0.394586285353004440069f,-0.2879823286948200999902f,0.1062021177580684955233f,\ +-0.6907035832345697068391f,0.3653158847737960068791f,0.9338855454474609407711f,\ +-0.4120224826154939568035f,-0.1450379965292624417916f,-0.9040960399672915981384f,\ +-0.3390386771829260181832f,1.625054083669380089461f,0.4716305826679590418316f,\ +0.6165901874856758446697f,0.4270688825812783973035f,-0.8343519087812022450024f,\ +-0.5142102680242138790234f,-0.3269678763130224319333f,-0.4453255190855087697344f,\ +-1.2280852212014194968503f,0.0988020658802584578195f,0.7533305302295955074854f,\ +0.1183515262592216288340f,0.4361801271894044096378f,-1.203233821600386388440f,\ +0.6270203182178656353685f,-0.2147899120281239748742f,-1.6199408065241285293f,\ +-0.3813310069938283253244f,-0.952339709740829487572f,-1.3753328967678597472002f,\ +0.1397812751994848834425f,1.043902134788026403456f,1.1627380196617531638026f,\ +-1.0121704799221244996943f,1.0517816399459063436694f,0.0479426304050067017548f,\ +-1.9256009187313227748461f,0.0702119825151238802219f,-1.5960860779727858993482f,\ +0.3892567541356096727512f,-0.3405739777798729162051f,-2.3927967690864724303879f,\ +1.4571677327957668346414f,1.7033833498531005812282f,1.4103109856750082329313f,\ +0.8887233594164675176685f,1.085007779468186495109f,-0.1517851031708108977547f,\ +-1.4279908879739833249545f,0.8317119599758505676945f,-0.100625285489182120235f,\ +-0.0641469431098572184791f,0.9441650291895723468016f,1.7557389523285045207501f,\ +-1.4553402741895795635685f,0.8280178925672729839391f,0.3768033744738639723160f,\ +0.769460862052703697955f,1.7363387952951863102413f,0.2883880023549790228010f,\ +0.1937130526956079012990f,0.7931867418127547253448f} + +#define CRESULTR {1.5005579968888511643854f,1.4038788522636540534450f,0.4261430281005708642361f,\ +0.4227040163485943913280f,0.3581755188101993225835f,0.3448856718113299524298f,\ +-0.4190544272790215352131f,0.3637606739341552875011f,0.2481133547640819725366f,\ +0.221957537083997319405f,1.5004406253943489701896f,14.262372555443052490887f,\ +4.2569132214783609313713f,0.4668662514373775884735f,0.4327387090783468837074f,\ +0.7637186245018753316671f,0.9416373255706453893055f,2.1849079400266222528160f,\ +0.0362192687509753849517f,0.7401390786280732658753f,0.6396875438787329448687f,\ +0.8375646978007738052696f,0.2750576263630330475785f,0.9779650400990845815485f,\ +0.3660147454727735727431f,0.0007813344853740371429f,0.3196234331185683896770f,\ +0.0168057767355581332003f,0.4715477957119850183076f,0.0903652551480593341227f,\ +0.4044631913155857239062f,4.5203389894684722349893f,5.4536105990647092411905f,\ +-0.2007273149144214174910f,0.1263903817022170861240f,0.1269607449461356840636f,\ +0.0861483947375209779818f,0.5452795580354135029921f,2.0908477302753070148356f,\ +0.0461711120003356623176f,0.0959224290498517928594f,5.6938820505915233027849f,\ +0.0545714270555244795879f,1.0286954018234739649529f,0.5710758281447196882397f,\ +0.6979532622664902374865f,0.0063143806135506170760f,3.4798191533417077714319f,\ +0.7877896535828416979541f,0.9752288031986856564615f,1.0063735441532775105600f,\ +0.4749622284565679919410f,0.8172752232835529540012f,0.6797654131732457916115f,\ +1.0060191413953609718135f,0.6810372893714221609329f,0.9931890911476703998062f,\ +0.8807071418681532426476f,0.6964662788868779541573f,0.7235561661943166189559f,\ +0.2187683453764143193254f,-0.0592182210929489902251f,0.4848204523909904195555f,\ +0.9593919417277750882889f,3.7038010572869821679376f,0.3163625232453476932015f,\ +0.1969961410854516870028f,-0.3978181614570159285726f,-1.361462433143773242961f,\ +0.2629151417766518727959f,1.5660468223975476664833f,0.0656893454691978989635f,\ +0.4861465273206775350445f,0.4622214272783724542393f,5.5338903531227128240744f,\ +-1.474264258662732141048f,0.0506254763419271280878f,2.5339495141019958701634f,\ +0.5588967788586440832432f,1.8941728912398605455536f,0.1625651067402884841773f,\ +1.1633063892460699940f,0.191283239298288054719f,1.547496475194143350507f,\ +0.0304040029736053936393f,-0.2630510364909662279764f,0.5483550218772245132826f,\ +0.0104474069781232917903f,0.2116381376777875800155f,0.4458460510519014485808f,\ +-0.0081176195921236100894f,1.4326892345597483924280f,-0.8581368290819433308769f,\ +1.3371299915531948965253f,0.2577287469128092811665f,0.4920040313161565537214f,\ +-0.2904655234170689381834f,0.462163508824150970344f,0.5856645720520745612703f,\ +4.81021957957627943614f,0.1973001680885165531887f,2.0006745533290084537725f,\ +-0.0705330419570823624609f,0.9534341938168940933096f,2.0294673010324730810794f,\ +0.0419743009154483204259f,1.198346516707147646486f,0.0867559391436964755240f,\ +0.4784523700257174994022f,1.1222795076752876131110f,0.2682227152927741387067f,\ +-0.1200874658138830208820f,0.8883849124062789259781f,1.1576031776174615650632f,\ +0.6976356512079191496412f,4.3909706615004120422441f,0.2101052025810229428870f,\ +0.6417663596495127853458f,0.6437857682896207522916f,1.3727122635941697570416f,\ +0.0685209480693795836004f,0.3887184828749501441791f,0.4591565751761637059758f,\ +-0.0886808967743262233085f,1.4635680657432861284661f,0.9160726657458563293446f,\ +1.0136746786541579457008f,2.1053235388732902677589f,0.3428728910762353088160f,\ +0.5219502401364545240980f,2.4645660104152655733856f,0.0042184623117796499203f,\ +0.4339378404381282194890f,0.1212485246955130047120f,0.5305120745426482598006f,\ +0.4178714460322863755160f,1.42725807301201368382f,0.1083449257198766668697f,\ +0.2290848259097614525448f,0.5275132726780440428627f,0.4939136954488312358791f,\ +0.5598904753492991437369f,2.8019267774958218630843f,0.1010607343958155046604f,\ +0.838703631682240602f,3.9411880425167020725041f,0.4367206268973685134860f,\ +0.1919888550719570374792f,-0.0150705892655913463452f,1.1588916915452081024540f,\ +1.1410183495054209146247f,1.2356219575708369262657f,0.4749404480211336654349f,\ +0.8577273295080861670314f,0.4048075578221899673004f,2.7627080603314042583918f,\ +0.1777810656017677348739f,2.1021956426305754561668f,0.2330964886175431460824f,\ +5.66671671967639412060f,0.4735105506685184928450f,0.8882739731815125772130f,\ +0.3935986079583607688548f,1.1791667609118299253623f,-0.0267606605538480354922f,\ +0.6267669571981022702545f,0.0659441611256419563114f,0.1427681092204574897497f,\ +0.2360440610261224370081f,0.8400442654362825223302f,0.4217500256271256020568f,\ +0.4836741737176751265714f,0.659708006511050548681f,1.4679764549267637629981f,\ +-0.5928767353529774686294f,0.7133645918582519618312f,-0.0417400106828591799246f,\ +2.46953429512858368966f,1.2982129272812710230056f,-13.430164449559464756589f,\ +0.0501008887550637785346f,-0.0697374371031275891442f,0.2574407425697148865673f,\ +0.0575298048786480678563f,1.5214153238495213837922f,2.1695830700438989424583f,\ +0.1752306830704533635590f,0.6307656294349494041640f,9.5316214402790411241995f,\ +2.1288031244453153867369f,0.6363319322612546180551f,-0.3752333236632875990146f,\ +0.3201657030914684676226f,0.1778562682310512732542f,0.2378885254191149545289f,\ +0.5920073359495072740089f,-0.1831081087669608753465f,2.2719985676152019138385f,\ +1.9544837479586136819165f,0.6083604660209539494176f} + +#define CRESULTI {0.66789173388469347259f,1.9929317082415038964172f,1.0134693185160317252524f,\ +0.4685368189063157107199f,0.0192861086704356442245f,-0.1432921900711904839021f,\ +1.9021551721948490865088f,-0.2416937871379007396477f,-0.3698944066530311935992f,\ +-1.630400797414071512037f,-1.53213128993891678498f,8.5994415909131678432686f,\ +-3.3657446415150640284253f,0.2237921440211748103088f,-0.0896829281433757230513f,\ +-0.3897266612271670926937f,2.6944436446476398572258f,0.5128535974480390446928f,\ +0.0674551867661900700357f,0.3951923071518532726287f,-0.1737389326052603821804f,\ +-1.2977574398167355251843f,-1.220297105474789312041f,-0.5222431149169146635813f,\ +0.2216906290760837783260f,0.2445752865761168237668f,0.4669490113374816231406f,\ +1.983268587510182312528f,0.6339653057626817300729f,-1.1309555970451541373478f,\ +0.2417594109687444814405f,1.2901913158229225686568f,-4.40337349863430294050f,\ +-1.5425684980543696855904f,0.2523692809573465090089f,0.0955121010048793767089f,\ +0.1372242993017437351355f,0.5200557398879992465623f,1.8081956965026793060503f,\ +0.2489243937541025242233f,0.1658522561714183829462f,5.5692357559437404290748f,\ +-0.0926616074754614826858f,0.2704548071084568183764f,-0.5999663537818090697229f,\ +1.0049457307841926922976f,0.6848514061793418150614f,2.2823134654584236180597f,\ +-0.1615224571979621548401f,0.6804242491001384340876f,-0.6188951521875099004433f,\ +-0.2144424405243884335093f,-0.9669529580119747835809f,-1.1455586484969144667190f,\ +0.3418574459217512129250f,-0.6970321107785095726683f,0.2369522455719338394076f,\ +-0.2051372202341115724700f,1.8654869710971573315561f,0.9177784888023613474317f,\ +2.2886105642667078363672f,0.7272712824943110554443f,0.5173355346085974915127f,\ +-0.4383775740596613790245f,1.7499274197824987719940f,-0.3649863488832993385635f,\ +-0.9529087376623858185454f,0.7892565481221736067852f,-5.2327138940157267299469f,\ +5.9498471753939741191175f,0.1827777741034706804335f,-0.0516109653428112533091f,\ +-0.2947431961312417803001f,1.4188420873857061632606f,-5.534739336307598733811f,\ +-2.255013513539458447354f,-0.4229165121855131270756f,1.2028903349471207206989f,\ +-0.0023812266691438442427f,-0.1528305178806574626815f,-0.3467892290786088183019f,\ +0.1344033089941876202289f,0.7027456808048029301972f,-2.7761066302583010667604f,\ +-0.1415572225289876973076f,-1.9671936933888867216069f,-0.1590647203810587884121f,\ +0.1032177704018006486608f,0.6858644064375456483873f,0.5012535303694961585919f,\ +0.2145546901849673948615f,-1.6825191334017586264338f,-1.3692428047734856999540f,\ +0.6071558835309880386433f,0.7048129294793062937785f,-0.2550146122571063656004f,\ +0.3727193608915256306524f,0.388381095349859650767f,-1.1552707405821953656755f,\ +-0.1762073913025017923850f,0.2856835610783352019659f,-0.6826826797070948416035f,\ +0.2414553165222597663764f,-1.2645359787455874300832f,-4.5934329346040874142432f,\ 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(fabs(sexps(2)-7.3890560989306504069418))/(fabs(sexps(2))) )<1e-6); + assert(( (fabs(sexps(3)-20.085536923187671476398))/(fabs(sexps(3))) )<1e-6); + assert(( (fabs(sexps(4)-54.598150033144236203952))/(fabs(sexps(4))) )<1e-6); + assert(( (fabs(sexps(5)-148.41315910257662835647))/(fabs(sexps(5))) )<1e-6); + assert(( (fabs(sexps(6)-403.42879349273533762243))/(fabs(sexps(6))) )<1e-6); + assert(( (fabs(sexps(7)-1096.6331584284580458188))/(fabs(sexps(7))) )<1e-6); +} + +void cexpsTest(void) { + float inR[]=CSOURCER; + float inI[]=CSOURCEI; + float resR[]=CRESULTR; + float resI[]=CRESULTI; + floatComplex in,out; + int i; + + for (i=0;i<200;i++){ + in=FloatComplex(inR[i],inI[i]); + out=cexps(in); + assert(( (fabs(creals(out)-resR[i]))/(fabs(creals(out))) )<8e-6); + assert(( (fabs(cimags(out)-resI[i]))/(fabs(cimags(out))) )<1e-6); + } +} + +void sexpaTest(void) { + float in[]=SOURCE; + float res[]=RESULT; + float out[200]; + int i,j; + float mon_test[6]={1.0f,4.0f,2.0f,5.0f,3.0f,6.0f}; + float result_mon_test[6]={2.7182818284590450907956f,54.598150033144236203952f,7.3890560989306504069418f, + 148.41315910257662835647f,20.085536923187671476398f,403.42879349273533762243f}; + float out_mon_test[6]; + j=1; + sexpa(in,200,out); + for (i=0;i<200;i++){ + assert(( (fabs(out[i]-res[i]))/(fabs(out[i])) )<1e-6); + } + sexpa(mon_test,6,out_mon_test); + for (i=0;i<6;i++){ + assert(( (fabs(out_mon_test[i]-result_mon_test[i]))/(fabs(out_mon_test[i])) )<1e-6); + } +} + +void cexpaTest(void) { + float inR[]=CSOURCER; + float inI[]=CSOURCEI; + float resR[]=CRESULTR; + float resI[]=CRESULTI; + floatComplex in[200],out[200]; + int i; + + for (i=0;i<200;i++){ + in[i]=FloatComplex(inR[i],inI[i]); + } + cexpa(in,200,out); + for (i=0;i<200;i++){ + assert(( (fabs(creals(out[i])-resR[i]))/(fabs(creals(out[i]))) )<8e-6); + assert(( (fabs(cimags(out[i])-resI[i]))/(fabs(cimags(out[i]))) )<1e-6); + } +} + + +int testExp(void) { + printf("\n>>>> Float Exp Tests\n"); + sexpsTest(); + cexpsTest(); + sexpaTest(); + cexpaTest(); + return 0; +} + +int main(void) { + assert(testExp() == 0); + return 0; +} diff --git a/2.3-1/src/c/elementaryFunctions/exp/zexpa.c b/2.3-1/src/c/elementaryFunctions/exp/zexpa.c new file mode 100644 index 00000000..c4c8df38 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/exp/zexpa.c @@ -0,0 +1,20 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "exp.h" + +void zexpa(doubleComplex* x, int size, doubleComplex* y) { + int i = 0; + for (i = 0; i < size; ++i) { + y[i] = zexps(x[i]); + } +} diff --git a/2.3-1/src/c/elementaryFunctions/exp/zexps.c b/2.3-1/src/c/elementaryFunctions/exp/zexps.c new file mode 100644 index 00000000..4de8877d --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/exp/zexps.c @@ -0,0 +1,23 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "exp.h" +#include "cos.h" +#include "sin.h" + +doubleComplex zexps(doubleComplex z) { + double real = zreals(z); + double imag = zimags(z); + + return DoubleComplex(dexps(real)*dcoss(imag), + dexps(real)*dsins(imag)); +} diff --git a/2.3-1/src/c/elementaryFunctions/exp10/Makefile.am b/2.3-1/src/c/elementaryFunctions/exp10/Makefile.am new file mode 100644 index 00000000..bc258bbd --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/exp10/Makefile.am @@ -0,0 +1,71 @@ +## +## Scilab ( http://www.scilab.org/ ) - This file is part of Scilab +## Copyright (C) 2007-2008 - INRIA - Bruno JOFRET +## +## This file must be used under the terms of the CeCILL. +## This source file is licensed as described in the file COPYING, which +## you should have received as part of this distribution. The terms +## are also available at +## http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt +## +## + +libExp10_la_CFLAGS = -I ../../type \ + -I $(top_builddir)/src/c/operations/includes \ + -I ../includes + +instdir = $(top_builddir)/lib + +pkglib_LTLIBRARIES = libExp10.la + +libExp10_la_SOURCES = $(HEAD) $(SRC) + +SRC = sexp10s.c \ + dexp10s.c \ + cexp10s.c \ + zexp10s.c \ + sexp10a.c \ + dexp10a.c \ + cexp10a.c \ + zexp10a.c + +HEAD = ../includes/exp10.h + +#### +# Checking Part +#### + +check_INCLUDES = -I $(top_builddir)/src/c/elementaryFunctions/includes \ + -I $(top_builddir)/src/c/type + +check_LDADD = $(top_builddir)/src/c/type/libDoubleComplex.la \ + $(top_builddir)/src/c/type/libFloatComplex.la \ + $(top_builddir)/src/c/operations/addition/libAddition.la \ + $(top_builddir)/src/fortran/lapack/libscilapack.la \ + $(top_builddir)/src/c/elementaryFunctions/pow/libPow.la \ + $(top_builddir)/src/c/elementaryFunctions/exp/libExp.la \ + 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$(top_builddir)/src/c/type/libDoubleComplex.la \ + $(top_builddir)/src/c/type/libFloatComplex.la \ + $(top_builddir)/src/c/operations/addition/libAddition.la \ + $(top_builddir)/src/fortran/lapack/libscilapack.la \ + $(top_builddir)/src/c/elementaryFunctions/pow/libPow.la \ + $(top_builddir)/src/c/elementaryFunctions/exp/libExp.la \ + $(top_builddir)/src/c/elementaryFunctions/log/libLog.la \ + $(top_builddir)/src/c/elementaryFunctions/log1p/libLog1p.la \ + $(top_builddir)/src/c/elementaryFunctions/lnp1m1/libLnp1m1.la \ + $(top_builddir)/src/c/elementaryFunctions/cos/libCos.la \ + $(top_builddir)/src/c/elementaryFunctions/sin/libSin.la \ + $(top_builddir)/src/c/elementaryFunctions/cosh/libCosh.la \ + $(top_builddir)/src/c/elementaryFunctions/sinh/libSinh.la \ + $(top_builddir)/src/c/elementaryFunctions/exp10/libExp10.la \ + $(top_builddir)/src/c/elementaryFunctions/sqrt/libSqrt.la \ + $(top_builddir)/src/c/auxiliaryFunctions/abs/libAbs.la \ + $(top_builddir)/src/c/auxiliaryFunctions/pythag/libPythag.la \ + $(top_builddir)/src/c/operations/multiplication/libMultiplication.la \ + @LIBMATH@ + +testFloatExp10_SOURCES = testExp10.h testFloatExp10.c +testFloatExp10_CFLAGS = $(check_INCLUDES) +testFloatExp10_LDADD = $(check_LDADD) +testDoubleExp10_SOURCES = testExp10.h testDoubleExp10.c +testDoubleExp10_CFLAGS = $(check_INCLUDES) +testDoubleExp10_LDADD = $(check_LDADD) +all: all-am + +.SUFFIXES: +.SUFFIXES: .c .lo .o .obj +$(srcdir)/Makefile.in: @MAINTAINER_MODE_TRUE@ $(srcdir)/Makefile.am $(am__configure_deps) + @for dep in $?; do \ + case '$(am__configure_deps)' in \ + *$$dep*) \ + ( cd $(top_builddir) && $(MAKE) $(AM_MAKEFLAGS) am--refresh ) \ + && { if test -f $@; then exit 0; else break; fi; }; \ + exit 1;; \ + esac; \ + done; \ + echo ' cd $(top_srcdir) && $(AUTOMAKE) --foreign src/c/elementaryFunctions/exp10/Makefile'; \ + $(am__cd) $(top_srcdir) && \ + $(AUTOMAKE) --foreign src/c/elementaryFunctions/exp10/Makefile +.PRECIOUS: Makefile +Makefile: $(srcdir)/Makefile.in $(top_builddir)/config.status + @case '$?' in \ + *config.status*) \ + cd $(top_builddir) && $(MAKE) $(AM_MAKEFLAGS) am--refresh;; \ + *) \ + echo ' cd $(top_builddir) && $(SHELL) ./config.status $(subdir)/$@ $(am__depfiles_maybe)'; \ + cd $(top_builddir) && $(SHELL) ./config.status $(subdir)/$@ $(am__depfiles_maybe);; \ + esac; + +$(top_builddir)/config.status: $(top_srcdir)/configure $(CONFIG_STATUS_DEPENDENCIES) + cd $(top_builddir) && $(MAKE) $(AM_MAKEFLAGS) am--refresh + +$(top_srcdir)/configure: @MAINTAINER_MODE_TRUE@ $(am__configure_deps) + cd $(top_builddir) && $(MAKE) $(AM_MAKEFLAGS) am--refresh +$(ACLOCAL_M4): @MAINTAINER_MODE_TRUE@ $(am__aclocal_m4_deps) + cd $(top_builddir) && $(MAKE) $(AM_MAKEFLAGS) am--refresh +$(am__aclocal_m4_deps): +install-pkglibLTLIBRARIES: $(pkglib_LTLIBRARIES) + @$(NORMAL_INSTALL) + test -z "$(pkglibdir)" || $(MKDIR_P) "$(DESTDIR)$(pkglibdir)" + @list='$(pkglib_LTLIBRARIES)'; test -n "$(pkglibdir)" || list=; \ + list2=; for p in $$list; do \ + if test -f $$p; then \ + list2="$$list2 $$p"; \ + else :; fi; \ + done; \ + test -z "$$list2" || { \ + echo " $(LIBTOOL) $(AM_LIBTOOLFLAGS) $(LIBTOOLFLAGS) --mode=install $(INSTALL) $(INSTALL_STRIP_FLAG) $$list2 '$(DESTDIR)$(pkglibdir)'"; \ + $(LIBTOOL) $(AM_LIBTOOLFLAGS) $(LIBTOOLFLAGS) --mode=install $(INSTALL) $(INSTALL_STRIP_FLAG) $$list2 "$(DESTDIR)$(pkglibdir)"; \ + } + +uninstall-pkglibLTLIBRARIES: + @$(NORMAL_UNINSTALL) + @list='$(pkglib_LTLIBRARIES)'; test -n "$(pkglibdir)" || list=; \ + for p in $$list; do \ + $(am__strip_dir) \ + echo " $(LIBTOOL) $(AM_LIBTOOLFLAGS) $(LIBTOOLFLAGS) --mode=uninstall rm -f '$(DESTDIR)$(pkglibdir)/$$f'"; \ + $(LIBTOOL) $(AM_LIBTOOLFLAGS) $(LIBTOOLFLAGS) --mode=uninstall rm -f "$(DESTDIR)$(pkglibdir)/$$f"; \ + done + +clean-pkglibLTLIBRARIES: + -test -z "$(pkglib_LTLIBRARIES)" || rm -f $(pkglib_LTLIBRARIES) + @list='$(pkglib_LTLIBRARIES)'; for p in $$list; do \ + dir="`echo $$p | sed -e 's|/[^/]*$$||'`"; \ + test "$$dir" != "$$p" || dir=.; \ + echo "rm -f \"$${dir}/so_locations\""; \ + rm -f "$${dir}/so_locations"; \ + done +libExp10.la: $(libExp10_la_OBJECTS) $(libExp10_la_DEPENDENCIES) + $(libExp10_la_LINK) -rpath $(pkglibdir) $(libExp10_la_OBJECTS) $(libExp10_la_LIBADD) $(LIBS) + +clean-checkPROGRAMS: + @list='$(check_PROGRAMS)'; test -n "$$list" || exit 0; \ + echo " rm -f" $$list; \ + rm -f $$list || exit $$?; \ + test -n "$(EXEEXT)" || exit 0; \ + list=`for p in $$list; do echo "$$p"; done | sed 's/$(EXEEXT)$$//'`; \ + echo " rm -f" $$list; \ + rm -f $$list +testDoubleExp10$(EXEEXT): $(testDoubleExp10_OBJECTS) $(testDoubleExp10_DEPENDENCIES) + @rm -f testDoubleExp10$(EXEEXT) + $(testDoubleExp10_LINK) $(testDoubleExp10_OBJECTS) $(testDoubleExp10_LDADD) $(LIBS) +testFloatExp10$(EXEEXT): $(testFloatExp10_OBJECTS) $(testFloatExp10_DEPENDENCIES) + @rm -f testFloatExp10$(EXEEXT) + $(testFloatExp10_LINK) $(testFloatExp10_OBJECTS) $(testFloatExp10_LDADD) $(LIBS) + +mostlyclean-compile: + -rm -f *.$(OBJEXT) + +distclean-compile: + -rm -f *.tab.c + +@AMDEP_TRUE@@am__include@ @am__quote@./$(DEPDIR)/libExp10_la-cexp10a.Plo@am__quote@ +@AMDEP_TRUE@@am__include@ @am__quote@./$(DEPDIR)/libExp10_la-cexp10s.Plo@am__quote@ +@AMDEP_TRUE@@am__include@ @am__quote@./$(DEPDIR)/libExp10_la-dexp10a.Plo@am__quote@ +@AMDEP_TRUE@@am__include@ @am__quote@./$(DEPDIR)/libExp10_la-dexp10s.Plo@am__quote@ +@AMDEP_TRUE@@am__include@ @am__quote@./$(DEPDIR)/libExp10_la-sexp10a.Plo@am__quote@ +@AMDEP_TRUE@@am__include@ @am__quote@./$(DEPDIR)/libExp10_la-sexp10s.Plo@am__quote@ +@AMDEP_TRUE@@am__include@ @am__quote@./$(DEPDIR)/libExp10_la-zexp10a.Plo@am__quote@ +@AMDEP_TRUE@@am__include@ @am__quote@./$(DEPDIR)/libExp10_la-zexp10s.Plo@am__quote@ +@AMDEP_TRUE@@am__include@ @am__quote@./$(DEPDIR)/testDoubleExp10-testDoubleExp10.Po@am__quote@ +@AMDEP_TRUE@@am__include@ @am__quote@./$(DEPDIR)/testFloatExp10-testFloatExp10.Po@am__quote@ + +.c.o: +@am__fastdepCC_TRUE@ $(COMPILE) -MT 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index 00000000..6245c801 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/exp10/cexp10a.c @@ -0,0 +1,20 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "exp10.h" + +void cexp10a(floatComplex* x, int size, floatComplex* y) { + int i = 0; + for (i = 0; i < size; ++i) { + y[i] = cexp10s(x[i]); + } +} diff --git a/2.3-1/src/c/elementaryFunctions/exp10/cexp10s.c b/2.3-1/src/c/elementaryFunctions/exp10/cexp10s.c new file mode 100644 index 00000000..479909a7 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/exp10/cexp10s.c @@ -0,0 +1,18 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "exp10.h" +#include "pow.h" + +floatComplex cexp10s(floatComplex z) { + return cpows(FloatComplex(10.0f, 0.0f), z); +} diff --git a/2.3-1/src/c/elementaryFunctions/exp10/dexp10a.c b/2.3-1/src/c/elementaryFunctions/exp10/dexp10a.c new file mode 100644 index 00000000..137754d8 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/exp10/dexp10a.c @@ -0,0 +1,20 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "exp10.h" + +void dexp10a(double* x, int size, double* y) { + int i = 0; + for (i = 0; i < size; ++i) { + y[i] = dexp10s(x[i]); + } +} diff --git a/2.3-1/src/c/elementaryFunctions/exp10/dexp10s.c b/2.3-1/src/c/elementaryFunctions/exp10/dexp10s.c new file mode 100644 index 00000000..29ae40fe --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/exp10/dexp10s.c @@ -0,0 +1,18 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include <math.h> +#include "exp10.h" + +double dexp10s(double x) { + return (pow(10, x)); +} diff --git a/2.3-1/src/c/elementaryFunctions/exp10/sexp10a.c b/2.3-1/src/c/elementaryFunctions/exp10/sexp10a.c new file mode 100644 index 00000000..aa6cc0eb --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/exp10/sexp10a.c @@ -0,0 +1,20 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "exp10.h" + +void sexp10a(float* x, int size, float* y) { + int i = 0; + for (i = 0; i < size; ++i) { + y[i] = sexp10s(x[i]); + } +} diff --git a/2.3-1/src/c/elementaryFunctions/exp10/sexp10s.c b/2.3-1/src/c/elementaryFunctions/exp10/sexp10s.c new file mode 100644 index 00000000..8f428293 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/exp10/sexp10s.c @@ -0,0 +1,18 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include <math.h> +#include "exp10.h" + +float sexp10s(float x) { + return (powf(10,x)); +} diff --git a/2.3-1/src/c/elementaryFunctions/exp10/testDoubleExp10.c b/2.3-1/src/c/elementaryFunctions/exp10/testDoubleExp10.c new file mode 100644 index 00000000..2f4b2559 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/exp10/testDoubleExp10.c @@ -0,0 +1,496 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Arnaud TORSET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "testExp10.h" + +#define SOURCE {0.3796988371759653091431,0.3062356826849281787872,0.3880051793530583381653,\ +0.1047293278388679027557,0.7603831812739372253418,0.0340930395759642124176,\ +0.1423966242000460624695,0.5554559468291699886322,0.8031897451728582382202,\ +0.5183992316015064716339,0.1518561029806733131409,0.5884730662219226360321,\ +0.2545093484222888946533,0.9992679939605295658112,0.6398976957425475120544,\ +0.5506716123782098293304,0.4607007671147584915161,0.5933007937856018543243,\ +0.6538193570449948310852,0.4168340521864593029022,0.9910155385732650756836,\ +0.3720780410803854465485,0.7061824081465601921082,0.5780865414999425411224,\ +0.602319641038775444031,0.5715096746571362018585,0.0549629041925072669983,\ +0.1205854485742747784,0.0143620483577251434326,0.0257951230742037296295,\ +0.8411248764023184776306,0.4381882525049149990082,0.4643401596695184707642,\ +0.4197426405735313892365,0.8023654492571949958801,0.5228588166646659374237,\ +0.5095121040940284729004,0.4531980180181562900543,0.7817818326875567436218,\ +0.776557037141174077988,0.0466059204190969467163,0.5113326688297092914581,\ +0.7502101892605423927307,0.6883628661744296550751,0.0167756117880344390869,\ +0.9345410899259150028229,0.5609863763675093650818,0.2205847105942666530609,\ +0.7648540753871202468872,0.4816976976580917835236,0.1558785634115338325500,\ +0.2476022052578628063202,0.5216529071331024169922,0.0805230387486517429352,\ +0.4409417239949107170105,0.8911933614872395992279,0.9780590813606977462769,\ +0.4588093762286007404327,0.5510440031066536903381,0.0960960905067622661591,\ +0.4196785055100917816162,0.7502556503750383853912,0.7218149593099951744080,\ +0.2895541018806397914886,0.3907764498144388198853,0.6686618146486580371857,\ +0.4877656819298863410950,0.4685971769504249095917,0.3562648519873619079590,\ +0.3442325466312468051910,0.4253307832404971122742,0.5588058172725141048431,\ +0.3304864969104528427124,0.4157403339631855487823,0.1595822656527161598206,\ +0.3883102680556476116180,0.9415460713207721710205,0.4722979352809488773346,\ +0.8533652639016509056091,0.1207739165984094142914,0.8999380934983491897583,\ +0.4384902161546051502228,0.8976056622341275215149,0.4911110657267272472382,\ +0.3402217179536819458008,0.9966153600253164768219,0.0215395865961909294128,\ +0.6876890822313725948334,0.0044924151152372360229,0.6397854541428387165070,\ +0.5416147718206048011780,0.2247649203054606914520,0.7364005260169506072998,\ +0.4496364505030214786530,0.9678138038143515586853,0.6489060199819505214691,\ +0.2544666919857263565063,0.1923975017853081226349,0.6861492367461323738098,\ +0.4231455805711448192596,0.6734441593289375305176,0.8270696722902357578278,\ +0.9360805852338671684265,0.8326222090981900691986,0.7424779590219259262085,\ +0.0194640238769352436066,0.8016031915321946144104,0.2554539437405765056610,\ +0.2688109613955020904541,0.7558490769006311893463,0.4347589677199721336365,\ +0.6425966522656381130219,0.6957868058234453201294,0.6499576461501419544220,\ +0.2303190128877758979797,0.5504368054680526256561,0.3038997054100036621094,\ +0.0371030517853796482086,0.1703881053254008293152,0.5698686256073415279388,\ +0.0036411266773939132690,0.4491547052748501300812,0.0576810697093605995178,\ +0.4956056098453700542450,0.1888933442533016204834,0.5641230703331530094147,\ +0.8562210192903876304626,0.0794764286838471889496,0.6196198705583810806274,\ +0.2241039988584816455841,0.8582094730809330940247,0.7114551994018256664276,\ +0.8026027604937553405762,0.6153324418701231479645,0.8958183480426669120789,\ +0.8721761344932019710541,0.8389767911285161972046,0.2040955354459583759308,\ +0.3166538262739777565002,0.7006825651042163372040,0.2073105163872241973877,\ +0.5222550616599619388580,0.9416420971974730491638,0.52116033947095274925,\ +0.4509841967374086380005,0.3961292845197021961212,0.7240869747474789619446,\ +0.6724055963568389415741,0.2386146038770675659180,0.7124841609038412570953,\ +0.3286493895575404167175,0.4837769134901463985443,0.7662767004221677780151,\ +0.3153839264996349811554,0.3489987561479210853577,0.7413818310014903545380,\ +0.9702721945941448211670,0.1276510567404329776764,0.3828862151131033897400,\ +0.4882477498613297939301,0.5191949699074029922485,0.0906856027431786060333,\ +0.6833897503092885017395,0.5022272053174674510956,0.0540433898568153381348,\ +0.0163939022459089756012,0.6050811810418963432312,0.2953875153325498104095,\ +0.6451294776052236557007,0.9449766655452549457550,0.5638650292530655860901,\ +0.9786348040215671062469,0.9345349706709384918213,0.1023264364339411258698,\ +0.7292392617091536521912,0.8353224000893533229828,0.9328642506152391433716,\ +0.0507844281382858753204,0.1677279071882367134094,0.9475936102680861949921,\ +0.9390441477298736572266,0.1270067342557013034821,0.6562355486676096916199,\ +0.7192088677547872066498,0.5519206207245588302612,0.7606899146921932697296,\ +0.8840736905112862586975,0.6386072556488215923309,0.2424023114144802093506,\ +0.7679059565998613834381,0.2624090006574988365173,0.1259524053893983364105,\ +0.4549009744077920913696,0.2127966103143990039825,0.0598834278061985969543,\ +0.8079127701930701732635,0.7068187817931175231934,0.9313771002925932407379,\ +0.0831561936065554618835,0.0639262734912335872650} + +#define RESULT {2.3971700177038997026102,2.0241173275316319823958,2.4434596929789558217294,\ +1.2727096230040590985055,5.7594787634974791146192,1.0816656533775219628524,\ +1.3880228773309635226241,3.5929894899598955326780,6.3560857138200033134012,\ +3.2991285007258008832309,1.4185874159639277891642,3.8767970491010381728358,\ +1.7968397576993500042164,9.9831591347336789965539,4.3641301682226361080552,\ +3.5536251298653307451048,2.8886888633814562510338,3.9201329280029257873252,\ +4.506292282304419138939,2.6111634148093250118450,9.7952503109731186015097,\ +2.3554725153952857930051,5.0837291957799548569596,3.7851800417010572630261,\ +4.0023921772430028909184,3.7282899025795783742865,1.1349138714412994044523,\ +1.3200350064956956064322,1.033622723333016191205,1.0611948240957502775927,\ +6.9362522133054556050524,2.7427628125876060138921,2.9129978203666571090480,\ +2.6287097779191044288893,6.3440332316119087963102,3.3331803790647938079417,\ +3.232303288716906752853,2.8392132821292248578970,6.0503685885843978553567,\ +5.97801550527315583849,1.1132838793654469267125,3.245881561190152808649,\ +5.6261355226100322468596,4.879360051235307693673,1.0393830059871540516525,\ +8.600844382521195541358,3.6390362044693791432337,1.6618227902609816748480,\ +5.8190766171103653903174,3.0317800975513509165182,1.4317874896288145247780,\ +1.7684883582783652578030,3.3239379437878064926792,1.2037132434952326764943,\ +2.7602074516612016275019,7.7838303437469935630588,9.5073412259646765676280,\ +2.876135722709581621359,3.5566735327883938211357,1.2476595365735951848052,\ +2.6283216080771176770270,5.626724486525223944966,5.2700527142503661437445,\ +1.947843685866482488223,2.4591014722412456450229,4.6629613384726322777851,\ +3.0744375934314547293980,2.941691847776138235560,2.2712495380631962937912,\ +2.2091873443061853521385,2.6627523904580243652163,3.620810677149941980701,\ +2.1403583776871992760960,2.60459578833533411668,1.44405011565138674534,\ +2.4451768086326421958177,8.7406971172900771449576,2.9668660249388048022468,\ +7.1345282822869320327186,1.3206079780376647203610,7.9421501528532889579992,\ +2.7446705104699793409395,7.899610206034289205945,3.0982115292188217026137,\ +2.188878814912672332582,9.9223686842029490406958,1.050847236808647444661,\ +4.8717958623764170411619,1.0103978539346472054206,4.3630024226971446665857,\ +3.4802846963616036468636,1.6778955425132806578148,5.4500504945081766905446,\ +2.8160246398239912046790,9.2856819400663770380788,4.4555982016116564281560,\ +1.7966632806306144232167,1.5573904303972738727424,4.8545528865355054293218,\ +2.6493880955344351058045,4.7145924820058668913703,6.715365764647851953839,\ +8.6313869205483300106607,6.8017741785747647398352,5.5268535777229557126589,\ +1.0458370517364794505255,6.3329081834648581761371,1.8007521573290650174215,\ +1.8569959706339840277423,5.6996616704912836937069,2.7211906353565828986518,\ +4.39133583975054442305,4.9634860523035060353436,4.4664003219774368602657,\ +1.6994915629457518768675,3.5517043359266669000363,2.0132592604656482926373,\ +1.089188511318553986840,1.4804307775633922528158,3.7142285642082217833604,\ +1.0084192481976341770888,2.8129026699324310989425,1.142039354028792752516,\ +3.1304416262076188992580,1.5448749964710146720392,3.6654143041103313116480,\ +7.181596810407055997416,1.200815897009761545888,4.1650466551411478022260,\ +1.6753440162955879344509,7.21455374553604489307,5.1458272136838258958846,\ +6.3475007446385660614396,4.1241309049764449667919,7.8671666160643907161898,\ +7.450340721306332625318,6.9020291813359317956156,1.5999099356849897368704,\ +2.0732602743658210542321,5.0197555099972408498843,1.6117976431404783532741,\ +3.3285498202301311287954,8.7426299668587681424015,3.3201701404059416056214,\ +2.824777184045289768477,2.4895983330428896884712,5.297695284941288385028,\ +4.7033315715610184426509,1.7322660897889763376156,5.1580335293393115847493,\ +2.1313235787699511547544,3.0463297621649392254994,5.8381695091926415486228,\ +2.0672068075526839336931,2.2335658257207593457849,5.5129217858217156589262,\ +9.3383940240121710019139,1.3416865210022335119788,2.414828068089148516151,\ +3.0778521213560718905455,3.3051788871815572790069,1.2322124790790967008292,\ +4.8238050773970124751600,3.1785365175695079464901,1.1325135056912927211670,\ +1.038469874168215900667,4.0279231974946911876145,1.97418348876764548905,\ +4.4170211379151878006155,8.8100153590470213771368,3.663237102755284801958,\ +9.5199529943728755654320,8.6007231965720354338600,1.2656873409568392130353,\ +5.3609192017188229684166,6.8441954007674699056452,8.5676999890922083125133,\ +1.1240468894427289026083,1.471390362736320067683,8.8632624680127776173322,\ +8.690487669968261386089,1.3396974608773437598330,4.5314328497492990521778,\ +5.2385231533328031616747,3.5638598811998751791918,5.7635480038278910086547,\ +7.6572652334911666116568,4.351182064426246220989,1.7474401555184173595592,\ +5.8601125417902917291713,1.8298226565740485227707,1.336449046213224356450,\ +2.8503682671020214023372,1.6322873327021125700043,1.1478454784492588824918,\ +6.4255864384701686375934,5.0911838672535516536755,8.538411872415464287656,\ +1.211033602346728965671,1.1585806569998515769271} + +#define ZSOURCER {0.0521394181996583938599,0.4229906541295349597931,0.9028727160766720771790,\ +0.270216043572872877121,0.4369520992040634155273,0.0152578153647482395172,\ +0.6548111913725733757019,0.0449309810064733028412,0.2133925389498472213745,\ +0.5342523609288036823273,0.7069207737222313880920,0.2409008811227977275848,\ +0.2901745550334453582764,0.7550916881300508975983,0.2289740880951285362244,\ +0.4858699417673051357269,0.6168978903442621231079,0.8581895199604332447052,\ +0.9484143527224659919739,0.2478762450627982616425,0.3616605177521705627441,\ +0.4686846160329878330231,0.0340223712846636772156,0.5221414058469235897064,\ +0.3054678197950124740601,0.2017288585193455219269,0.4932554000988602638245,\ +0.3831945951096713542938,0.9221886433660984039307,0.8073847130872309207916,\ +0.3020078903064131736755,0.2459809384308755397797,0.1128082294017076492310,\ +0.5088820648379623889923,0.9855441050603985786438,0.1797042894177138805389,\ +0.0627280175685882568359,0.6279844292439520359039,0.8693526117131114006042,\ +0.1181543781422078609467,0.1908623259514570236206,0.0912145380862057209015,\ +0.7186726490035653114319,0.310268334578722715378,0.6592819057404994964600,\ +0.9106893003918230533600,0.9854423692449927330017,0.8546765870414674282074,\ +0.4121543709188699722290,0.2333141383714973926544,0.3814189555123448371887,\ +0.6619831356219947338104,0.212731502950191497803,0.0520866983570158481598,\ +0.9962206138297915458679,0.6885302006267011165619,0.6471334304660558700562,\ +0.1732599367387592792511,0.6790404403582215309143,0.7853972460143268108368,\ +0.5636796839535236358643,0.5331145809032022953033,0.9027821635827422142029,\ +0.0063843778334558010101,0.9165171254426240921021,0.4580909651704132556915,\ +0.8293677615001797676086,0.7187301176600158214569,0.4822947531938552856445,\ +0.9620302417315542697906,0.7949669538065791130066,0.3603135510347783565521,\ +0.4186353813856840133667,0.6742749665863811969757,0.9338985690847039222717,\ +0.18709085090085864067,0.1331541948020458221436,0.4923790604807436466217,\ +0.1599537869915366172791,0.8545161760412156581879,0.4317741785198450088501,\ +0.5531771448440849781036,0.2238912554457783699036,0.1766969445161521434784,\ +0.4150884225964546203613,0.6159632527269423007965,0.0658540828153491020203,\ +0.9070334821008145809174,0.0915193017572164535522,0.4515289147384464740753,\ +0.1814587051048874855042,0.8840930457226932048798,0.1760245300829410552979,\ +0.3308106199838221073151,0.2203056281432509422302,0.3864682218991219997406,\ +0.0431000906974077224731,0.2068966520018875598907,0.5356620447710156440735,\ +0.0403697001747786998749,0.3028300404548645019531,0.6841432997025549411774,\ +0.9040663270279765129089,0.1237034215591847896576,0.9687331896275281906128,\ +0.3681504433043301105499,0.1336043933406472206116,0.6103821019642055034637,\ +0.6861566565930843353271,0.6903465152718126773834,0.779607950709760189056,\ +0.7986211306415498256683,0.9899662975221872329712,0.8009328362531960010529,\ +0.6865246118977665901184,0.8669688436202704906464,0.0602840110659599304199,\ +0.6239373260177671909332,0.5747098876163363456726,0.2018211721442639827728,\ +0.9450219180434942245483,0.6681275893934071063995,0.3908910537138581275940,\ +0.8401706661097705364227,0.7179634161293506622314,0.6875333772040903568268,\ +0.6410528933629393577576,0.8713398925028741359711,0.5411411095410585403442,\ +0.7853284222073853015900,0.4244953142479062080383,0.1414492088370025157928,\ +0.1002616137266159057617,0.0548216500319540500641,0.3878128407523036003113,\ +0.1043689115904271602631,0.3819272350519895553589,0.3513077651150524616241,\ +0.3175459811463952064514,0.1629057596437633037567,0.2614045254886150360107,\ +0.2885272116400301456451,0.5902544697746634483337,0.3439738727174699306488,\ +0.8696897123008966445923,0.0534855094738304615021,0.1987623842433094978333,\ +0.6515000048093497753143,0.2086210027337074279785,0.1333819651044905185699,\ +0.5733251376077532768250,0.9408131926320493221283,0.9827877636998891830444,\ +0.5483977575786411762238,0.9164683455601334571838,0.6582687790505588054657,\ +0.1169865764677524566650,0.6840933994390070438385,0.2702485686168074607849,\ +0.2898568115197122097015,0.9279741663485765457153,0.3171655726619064807892,\ +0.0346859293058514595032,0.8625448155216872692,0.4192672073841094970703,\ +0.9283133395947515964508,0.1561186043545603752136,0.3421049430035054683685,\ +0.6677390020340681076050,0.8959637288935482501984,0.7042291918769478797913,\ +0.2711754958145320415497,0.7707630358636379241943,0.6646066964603960514069,\ +0.0564929535612463951111,0.4913068241439759731293,0.3226534072309732437134,\ +0.4814894613809883594513,0.4087979318574070930481,0.2927415999583899974823,\ +0.8891521319746971130371,0.7954202168621122837067,0.8309869421645998954773,\ +0.8356794654391705989838,0.4487133231014013290405,0.9114312161691486835480,\ +0.5860714400187134742737,0.186776056420058012009,0.2693342454731464385986,\ +0.9950512335635721683502,0.9318672632798552513123,0.8146264008246362209320,\ +0.1896832454949617385864,0.0199374002404510974884,0.1238022493198513984680,\ +0.8879826921038329601288,0.7732745558023452758789,0.7526164152659475803375,\ +0.8376457272097468376160,0.2204564376734197139740} + +#define ZSOURCEI {0.3044399749487638473511,0.3680851315148174762726,0.7309098849073052406311,\ +0.2054549823515117168427,0.0948474220931529998779,0.7900205166079103946686,\ +0.3616730114445090293884,0.5851024067960679531097,0.0693163666874170303345,\ +0.3493489888496696949005,0.1835746141150593757629,0.3968948009423911571503,\ +0.0996801331639289855957,0.8549251281656324863434,0.8357324106618762016296,\ +0.9418399124406278133392,0.0554450806230306625366,0.6700697620399296283722,\ +0.4463311964645981788635,0.1178311700932681560516,0.0399966575205326080322,\ +0.8887174264527857303619,0.1686335867270827293396,0.9620060822926461696625,\ +0.781102331355214118958,0.2049232018180191516876,0.6681626336649060249329,\ +0.7458390104584395885468,0.6444613933563232421875,0.5694789239205420017242,\ +0.7798063186928629875183,0.4667183174751698970795,0.2390516381710767745972,\ +0.2273887698538601398468,0.0535939196124672889709,0.0797578911297023296356,\ +0.0830229185521602630615,0.2299542189575731754303,0.4078942527994513511658,\ 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+0.2415534253232181072235,0.5118484236299991607666,0.4379267231561243534088,\ +0.8779173558577895164490,0.1360241672955453395844,0.9468084294348955154419,\ +0.2738420856185257434845,0.5806620018556714057922,0.5942221391014754772186,\ +0.8508083224296569824219,0.378734225872904062271,0.2592755584046244621277,\ +0.7080181255005300045013,0.3032848816365003585815,0.0120116178877651691437,\ +0.0807306626811623573303,0.7887271861545741558075,0.5701906941831111907959,\ +0.2198487878777086734772,0.2014332404360175132751,0.3704045540653169155121,\ +0.2366845849901437759399,0.103130650240927934647,0.1840926231816411018372,\ +0.1408759090118110179901,0.8378689214587211608887,0.2475062184967100620270,\ +0.4595135403797030448914,0.6442520259879529476166,0.9563237931579351425171,\ +0.9093016912229359149933,0.552059986628592014313,0.0986777986399829387665,\ +0.2551880665123462677002,0.0510429129935801029205,0.287540963850915431976,\ +0.1730656377039849758148,0.4155373144894838333130,0.8203372103162109851837,\ +0.7022680984809994697571,0.0665632444433867931366,0.4468086212873458862305,\ +0.5658646025694906711578,0.8720351336523890495300,0.7345057590864598751068,\ +0.3390222620218992233276,0.9842283879406750202179,0.3797692963853478431702,\ +0.6046022842638194561005,0.5255502574145793914795,0.4914151043631136417389,\ +0.6406045397743582725525,0.6271067834459245204926} + +#define ZRESULTR {0.8616789149319691309969,1.7528026973616770423092,-0.8951576871785223987743,\ +1.65839939772781952421,2.670002318435218402470,-0.2545370391954314692740,\ +3.0388538062879217882539,0.2458549627872582132859,1.613753544958956620547,\ +2.373140931257777808128,4.6441801233654604885714,1.0634345748771927286924,\ +1.8994737292284431529055,-2.2038440203063891509316,-0.5865941523645769040129,\ +-1.7230123422001577537799,4.1053385752577806755426,0.2012772387479372093733,\ +4.5889850773872540301568,1.7048706561180972940406,2.2898980543543361321213,\ +-1.3470616397449584056289,1.000979918376255772827,-1.998745505240199671348,\ +-0.4562266859878671976247,1.4173389563254865652908,0.1005345377926576272420,\ +-0.3529055360142766550879,0.7252834368660135977436,1.6469252220572825340383,\ +-0.4467771279955162211373,0.8387209999987794706300,1.1050928340202259558822,\ +2.7952258554924300781863,9.5990623048041356923932,1.4870960004060611581167,\ +1.1343408485170072275139,3.664612325782657276108,4.3703600670610898148993,\ +0.9850722877732481785884,1.1986551091809227731488,1.2329567566066641504108,\ +0.8800935914266996284994,1.1832797973754654030643,-1.2910350436339537161246,\ +7.6571266019263468649569,-2.4697863053099986530015,0.3907140975028082774401,\ +-1.655858606271026545187,-0.5746050598208488624508,-0.4432229757632685229751,\ +-2.9672355970693655713433,1.3424314109887605095395,0.9766924789772336579219,\ +8.4134496859782270661299,1.0052614992336186272581,0.5743785834192948192012,\ +1.1969550027714319639927,-1.929705102086765711178,-1.7419725915375741109870,\ +1.6154412531361730387403,3.4109538321538344085582,7.9439933441705683492273,\ +0.9533381558732610949747,-3.7544424962625675412653,2.8656935239804841586420,\ +2.0671417342103679537502,-1.992605711686495695290,0.8871291147322790671126,\ +8.6682584526683399417379,-1.8914875129526329544660,-0.1401839917101320720505,\ +0.0776428549278006530088,-2.560598020200964608506,-5.5730608716054170770349,\ +0.1580601872370170912774,-0.7747638844786981504598,2.9997587850927698305270,\ +0.1654170760372596638010,-0.7609360918468449641594,-1.2203777718239325889016,\ +1.4986628046871217634362,1.6729053694884241654250,1.381936351079181113377,\ +-0.3450348611667466425246,1.9706824980594530583033,1.1101876800122791877357,\ +-4.0234586128898426338196,1.1906849924222373537930,-0.3456983902450189716227,\ +1.459474884821820195313,6.0143936939361175575414,-0.0988538832443286719087,\ +1.597480633260187854461,0.9129179205342567993142,-0.0488550375477847867445,\ +1.0523032581716083022627,0.9288642069528815214952,2.6218635570145862878633,\ +0.8072263924219229558332,1.5687383989731884526009,3.842899231404802939949,\ +-4.2624261266025849081984,1.2547786671163203564561,7.0708952400269708959968,\ +0.2138025786160810681746,-0.5039897261739162415140,3.6311482225254705369366,\ +2.7511697563589119219785,-1.0199337285771719052718,-3.9613785741953506658319,\ +5.3644844232216355450760,-4.261894060044243204288,-2.440577323716713653567,\ +-2.5162841502447741426352,-3.5973154891472156613474,0.9736685483701841281601,\ +0.2600685777468328963025,1.2216142738714919069309,0.7803738463829824612006,\ +8.5132680918277277015704,4.2958732896863782713126,2.4210488328114880829389,\ +5.79755622526757630197,-0.3837915438103189358365,3.75964173341358565139,\ +2.4386368546342671592697,-2.6776116153796971630641,2.5102046010802867570533,\ +5.821177306248865868099,0.2640059162189042352153,1.31446884371506267364,\ +1.2488505950260830879017,-0.7482976046844636019983,-0.6275966789165404735584,\ +0.8893791469828959961319,-0.6903683581860716733658,-0.5450973252013330272447,\ +-1.1028092549899868313190,1.4183297900536229185775,1.773434980128008042755,\ +-0.2859252183654940604463,3.3012839410905678860786,0.3197431184385559066463,\ +2.2263782918939738487,1.0146592610810074575056,1.0051892636742449926857,\ +3.8066700246852320788093,0.6179593115281443171938,0.7249522760637888696422,\ +-1.6307732738859830323719,8.3014440376437921287334,-5.5006403965152692592255,\ +2.8552972304138433123910,1.9111692714948702587208,0.9158531650125845136046,\ +-0.4956155140563224259509,3.1079184772588979157604,1.5408715933614589577161,\ +-0.1158617194706384467828,6.4886221326459514457952,2.0749108619541400955200,\ +1.0644832532013759340828,-1.769719547358157507588,0.6696790607045245424800,\ +7.4150575771959807980238,1.2812290258043323998294,1.4461251309266722753222,\ +3.9789946052408695642555,7.6489498856535602655526,4.6130068144799594165306,\ +1.7697609579312818528507,-2.069533011859056692572,3.8895055335340873448047,\ +0.5587033140125831076617,0.2704103697575463982616,-1.2405136002402707973147,\ +-1.5134557095053997599621,0.7566012248243810800474,1.9117596963451992664318,\ +6.447932326957059423478,6.2003146906774571078813,5.344469754581457898723,\ +6.3131049040564706231748,1.6189521464425622454542,-2.550619599252561098268,\ +-0.1781945407584817342439,1.5193399835582135359857,0.9590574537903557850171,\ +2.6165522176992435099407,-3.6188103766399173366608,-0.7842216609502735691350,\ +1.0995885822264845899099,-0.6708497380942372023682,0.8529889923514888394607,\ +1.3729938244229744626068,2.0937757207972880202362,2.4059764571152468803916,\ +0.6578397026948303860650,0.2101416292188336421010} + +#define ZRESULTI {0.7272548245748866602156,1.9854303798419310478351,7.9457339679995211412233,\ +0.8488412125630352411676,0.5925642663233093854203,1.0039936024574043216262,\ +3.3414071705695578273776,1.081403318108233868600,0.2597757190370896807075,\ +2.4651157060741901716483,2.0890001084665330566281,1.3789900497554921088295,\ +0.4437915251064282751159,5.2455794258294652365748,1.5894481231762551676212,\ +2.5300661616939024156636,0.5269825145414556155643,7.2114139192406465639351,\ +7.6023759189514121814568,0.474253708603649237752,0.2114880398457448518190,\ +2.615809838094426353905,0.40946194724304191270,2.660538085383924222782,\ +1.96836124960102032411,0.7232671662286862535041,3.111923291962274351619,\ +2.3906358097335185242116,8.3281383621146503060118,6.2028635418634419096406,\ +1.9540840065283944237962,1.5494625392422922693925,0.678202414336372183534,\ +1.6137618479690827300033,1.1906180579664376040228,0.2762165158082148241903,\ +0.2195296884715036700442,2.1446447456633843664520,5.9741482912408789829328,\ +0.867597682821533044972,0.9856997170507159067299,0.0432225133986508733286,\ +5.157507023966152459593,1.6654420749486735786604,4.3768952511866894283799,\ +2.7654687058579336955688,9.3496470896606780343063,7.1454288620924977237792,\ +1.9826603369952136013410,1.6118978629668390123442,2.3655185893491501580854,\ +3.5043054723514432957643,0.9281385166491339377970,0.5631636514321668451899,\ +5.2429430139302253266465,4.7766052326802679317552,4.4001190809809767046090,\ +0.8877792684794596489439,4.368513033448009785786,5.8469722698220429890625,\ +3.2860624631665138473124,0.1131306785331901154645,0.8957170057781025374055,\ +0.3478275260751592101727,7.3475483360254925102595,0.1806513152317329173879,\ +6.4267295981620362610442,4.8385133662587431757629,2.9034462647978491744993,\ +2.9696777404396668131881,5.9431363200854443462617,2.288232180725223052775,\ +2.6208664370161969259243,3.9693733894002809492463,6.5342907486237020719955,\ +1.5303355006050158859665,1.1162736854609731640409,0.8102944693911555695820,\ +1.4357885386399356075771,7.1128736564949752718690,2.4113210957685655699834,\ +3.2448135685253003401840,0.0735981604163226527104,0.5886735706121437594618,\ +2.5776994154551164939448,3.629648394334391792171,0.3489446690644626425382,\ +6.9989048057282028381110,0.3262782224609265258053,2.8071160078618211386470,\ +0.4198114062820728631387,4.7398318369933782889802,1.4965081339145251959621,\ +1.4268961804460684739126,1.3873315379595159146930,2.4343374430326063517782,\ +0.3349767990169579268134,1.3153540511429153703205,2.2160059373349834110911,\ +0.7434370339011254769090,1.253936082334201174149,2.929523877257661279572,\ +6.7911802335851190193239,0.4395719515095502516466,6.0491461603781946365643,\ +2.324454495134102849363,1.263389181071626898856,1.8546860110985297076525,\ +3.9998192433092101261,4.7944107664763828680066,4.5331878790851858340716,\ +3.2834478309428574149820,8.7932187934310537258398,5.8331542843869588210737,\ +4.1564133542481211947006,6.4227435117275550879867,0.6098783468239901139896,\ +4.1986123528738117371972,3.5516439676096513977654,1.3871043178012487651074,\ +2.2708618645232787613963,1.7986812579372670750644,0.4346204841779990335482,\ +3.7800771946382365484851,5.2094034804655127146589,3.0955575196143279015359,\ +3.6332179827516117853747,6.9371912371180162182327,2.4051741186173338782339,\ +1.8230887730163647386661,2.6444893659134645069742,0.4363389413001144689908,\ +0.1648513733929060642858,0.8527852017899220093966,2.3603668450398678224644,\ +0.9089049761135811200674,2.308482167770112614136,2.1783058145209865941183,\ +1.760657933306752465086,0.3252423522775149677955,0.4332745364849133751228,\ +1.922093093505325978043,2.0627370874500741138036,2.184596685297794049774,\ +7.065327858525169979487,0.4997624596555385045882,1.2195103000378291202566,\ +2.3664724579469695875389,1.4939021538810592915070,1.1500903795661745476764,\ +3.3700776947908237524132,2.6885676432811540514933,7.8817788746511769915060,\ +2.0842223123540501994455,8.0258609977666459656120,4.459626216287859712395,\ +1.211699888667206126414,3.6993867326108555992903,1.0474037470444790276503,\ +1.9457553430070655409168,5.4468957190088280739815,0.0574020495019843535189,\ +0.200187099983916316770,7.068768975957844702407,2.5390022146337085651169,\ +4.1109611351982495719426,0.6408861046921948689814,1.6557914176531909333789,\ +2.4121782951381569581883,1.8513041911556680219064,2.0815970551782250197448,\ +0.5950929849744456268112,5.5238367721873160576251,2.4925246722707656843454,\ +0.9924655082402137340480,3.0877905115051524909120,1.6970418763867407552226,\ +2.6253251426459978112860,2.4490847102298514137431,0.4420113886405674930025,\ +4.2948005817238108505762,0.7321010758042626465070,4.1657752085548631626466,\ +2.6579704039050806585465,2.2968127063505034968216,7.7460044759776618406022,\ +3.851297516891551087070,0.2347062006554227753252,1.5927846479405329827017,\ +9.5341720234343370066199,7.7442521101341821321284,6.478396320140080710814,\ +1.0891470158039435744968,0.8038176255057727370712,1.0202487324661473344634,\ +7.6035293179001266494765,5.5512724543076572558675,5.1202912658114749788751,\ +6.849389505178533177343,1.6479880468591965314573} + + + + +void dexp10sTest(void) { + double in[]=SOURCE; + double res[]=RESULT; + double out; + int i; + + for (i=0;i<200;i++){ + out=dexp10s(in[i]); + assert(( (fabs(out-res[i]))/(fabs(out)) )<3e-16); + } +} + +void zexp10sTest(void) { + double inR[]=ZSOURCER; + double inI[]=ZSOURCEI; + double resR[]=ZRESULTR; + double resI[]=ZRESULTI; + doubleComplex in,out; + int i; + + for (i=0;i<200;i++){ + in=DoubleComplex(inR[i],inI[i]); + out=zexp10s(in); + assert(( (fabs(zreals(out)-resR[i]))/(fabs(zreals(out))) )<3e-15); + assert(( (fabs(zimags(out)-resI[i]))/(fabs(zimags(out))) )<3e-15); + } +} + +void dexp10aTest(void) { + double in[]=SOURCE; + double res[]=RESULT; + double out[200]; + int i; + + dexp10a(in,200,out); + for (i=0;i<200;i++){ + assert(( (fabs(out[i]-res[i]))/(fabs(out[i])) )<3e-16); + } +} + +void zexp10aTest(void) { + double inR[]=ZSOURCER; + double inI[]=ZSOURCEI; + double resR[]=ZRESULTR; + double resI[]=ZRESULTI; + doubleComplex *in,out[200]; + int i; + + + in=DoubleComplexMatrix(inR,inI,200); + zexp10a(in,200,out); + + for (i=0;i<200;i++){ + assert(( (fabs(zreals(out[i])-resR[i]))/(fabs(zreals(out[i]))) )<3e-15); + assert(( (fabs(zimags(out[i])-resI[i]))/(fabs(zimags(out[i]))) )<3e-15); + } +} + +int testExp10(void) { + printf("\n>>>> Double 10-Base Exponential Tests\n"); + dexp10sTest(); + zexp10sTest(); + dexp10aTest(); + zexp10aTest(); + return 0; +} + +int main(void) { + assert(testExp10() == 0); + return 0; +} diff --git a/2.3-1/src/c/elementaryFunctions/exp10/testExp10.h b/2.3-1/src/c/elementaryFunctions/exp10/testExp10.h new file mode 100644 index 00000000..8e3bbdbd --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/exp10/testExp10.h @@ -0,0 +1,41 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2007-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#ifndef _TESTEXP10_H_ +#define _TESTEXP10_H_ + +#include <stdio.h> +#include <assert.h> +#include <math.h> +#include "exp10.h" +#include "constant.h" + + +void sexp10sTest(void); + +void dexp10sTest(void); + +void cexp10sTest(void); + +void zexp10sTest(void); + +void sexp10aTest(void); + +void dexp10aTest(void); + +void cexp10aTest(void); + +void zexp10aTest(void); + +int testExp10(void); + +#endif /* ! _TESTEXP10_H_ */ diff --git a/2.3-1/src/c/elementaryFunctions/exp10/testFloatExp10.c b/2.3-1/src/c/elementaryFunctions/exp10/testFloatExp10.c new file mode 100644 index 00000000..234c66dd --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/exp10/testFloatExp10.c @@ -0,0 +1,495 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Arnaud TORSET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "testExp10.h" + +#define SOURCE {0.3796988371759653091431f,0.3062356826849281787872f,0.3880051793530583381653f,\ +0.1047293278388679027557f,0.7603831812739372253418f,0.0340930395759642124176f,\ +0.1423966242000460624695f,0.5554559468291699886322f,0.8031897451728582382202f,\ +0.5183992316015064716339f,0.1518561029806733131409f,0.5884730662219226360321f,\ +0.2545093484222888946533f,0.9992679939605295658112f,0.6398976957425475120544f,\ +0.5506716123782098293304f,0.4607007671147584915161f,0.5933007937856018543243f,\ +0.6538193570449948310852f,0.4168340521864593029022f,0.9910155385732650756836f,\ +0.3720780410803854465485f,0.7061824081465601921082f,0.5780865414999425411224f,\ +0.602319641038775444031f,0.5715096746571362018585f,0.0549629041925072669983f,\ +0.1205854485742747784f,0.0143620483577251434326f,0.0257951230742037296295f,\ +0.8411248764023184776306f,0.4381882525049149990082f,0.4643401596695184707642f,\ +0.4197426405735313892365f,0.8023654492571949958801f,0.5228588166646659374237f,\ +0.5095121040940284729004f,0.4531980180181562900543f,0.7817818326875567436218f,\ +0.776557037141174077988f,0.0466059204190969467163f,0.5113326688297092914581f,\ +0.7502101892605423927307f,0.6883628661744296550751f,0.0167756117880344390869f,\ +0.9345410899259150028229f,0.5609863763675093650818f,0.2205847105942666530609f,\ +0.7648540753871202468872f,0.4816976976580917835236f,0.1558785634115338325500f,\ +0.2476022052578628063202f,0.5216529071331024169922f,0.0805230387486517429352f,\ +0.4409417239949107170105f,0.8911933614872395992279f,0.9780590813606977462769f,\ +0.4588093762286007404327f,0.5510440031066536903381f,0.0960960905067622661591f,\ +0.4196785055100917816162f,0.7502556503750383853912f,0.7218149593099951744080f,\ +0.2895541018806397914886f,0.3907764498144388198853f,0.6686618146486580371857f,\ +0.4877656819298863410950f,0.4685971769504249095917f,0.3562648519873619079590f,\ +0.3442325466312468051910f,0.4253307832404971122742f,0.5588058172725141048431f,\ +0.3304864969104528427124f,0.4157403339631855487823f,0.1595822656527161598206f,\ +0.3883102680556476116180f,0.9415460713207721710205f,0.4722979352809488773346f,\ +0.8533652639016509056091f,0.1207739165984094142914f,0.8999380934983491897583f,\ +0.4384902161546051502228f,0.8976056622341275215149f,0.4911110657267272472382f,\ +0.3402217179536819458008f,0.9966153600253164768219f,0.0215395865961909294128f,\ +0.6876890822313725948334f,0.0044924151152372360229f,0.6397854541428387165070f,\ +0.5416147718206048011780f,0.2247649203054606914520f,0.7364005260169506072998f,\ +0.4496364505030214786530f,0.9678138038143515586853f,0.6489060199819505214691f,\ +0.2544666919857263565063f,0.1923975017853081226349f,0.6861492367461323738098f,\ +0.4231455805711448192596f,0.6734441593289375305176f,0.8270696722902357578278f,\ +0.9360805852338671684265f,0.8326222090981900691986f,0.7424779590219259262085f,\ +0.0194640238769352436066f,0.8016031915321946144104f,0.2554539437405765056610f,\ +0.2688109613955020904541f,0.7558490769006311893463f,0.4347589677199721336365f,\ +0.6425966522656381130219f,0.6957868058234453201294f,0.6499576461501419544220f,\ +0.2303190128877758979797f,0.5504368054680526256561f,0.3038997054100036621094f,\ +0.0371030517853796482086f,0.1703881053254008293152f,0.5698686256073415279388f,\ +0.0036411266773939132690f,0.4491547052748501300812f,0.0576810697093605995178f,\ +0.4956056098453700542450f,0.1888933442533016204834f,0.5641230703331530094147f,\ +0.8562210192903876304626f,0.0794764286838471889496f,0.6196198705583810806274f,\ +0.2241039988584816455841f,0.8582094730809330940247f,0.7114551994018256664276f,\ +0.8026027604937553405762f,0.6153324418701231479645f,0.8958183480426669120789f,\ +0.8721761344932019710541f,0.8389767911285161972046f,0.2040955354459583759308f,\ +0.3166538262739777565002f,0.7006825651042163372040f,0.2073105163872241973877f,\ +0.5222550616599619388580f,0.9416420971974730491638f,0.52116033947095274925f,\ +0.4509841967374086380005f,0.3961292845197021961212f,0.7240869747474789619446f,\ +0.6724055963568389415741f,0.2386146038770675659180f,0.7124841609038412570953f,\ +0.3286493895575404167175f,0.4837769134901463985443f,0.7662767004221677780151f,\ +0.3153839264996349811554f,0.3489987561479210853577f,0.7413818310014903545380f,\ +0.9702721945941448211670f,0.1276510567404329776764f,0.3828862151131033897400f,\ +0.4882477498613297939301f,0.5191949699074029922485f,0.0906856027431786060333f,\ +0.6833897503092885017395f,0.5022272053174674510956f,0.0540433898568153381348f,\ +0.0163939022459089756012f,0.6050811810418963432312f,0.2953875153325498104095f,\ +0.6451294776052236557007f,0.9449766655452549457550f,0.5638650292530655860901f,\ +0.9786348040215671062469f,0.9345349706709384918213f,0.1023264364339411258698f,\ +0.7292392617091536521912f,0.8353224000893533229828f,0.9328642506152391433716f,\ +0.0507844281382858753204f,0.1677279071882367134094f,0.9475936102680861949921f,\ +0.9390441477298736572266f,0.1270067342557013034821f,0.6562355486676096916199f,\ +0.7192088677547872066498f,0.5519206207245588302612f,0.7606899146921932697296f,\ +0.8840736905112862586975f,0.6386072556488215923309f,0.2424023114144802093506f,\ +0.7679059565998613834381f,0.2624090006574988365173f,0.1259524053893983364105f,\ +0.4549009744077920913696f,0.2127966103143990039825f,0.0598834278061985969543f,\ +0.8079127701930701732635f,0.7068187817931175231934f,0.9313771002925932407379f,\ +0.0831561936065554618835f,0.0639262734912335872650f} + +#define RESULT {2.3971700177038997026102f,2.0241173275316319823958f,2.4434596929789558217294f,\ +1.2727096230040590985055f,5.7594787634974791146192f,1.0816656533775219628524f,\ +1.3880228773309635226241f,3.5929894899598955326780f,6.3560857138200033134012f,\ +3.2991285007258008832309f,1.4185874159639277891642f,3.8767970491010381728358f,\ +1.7968397576993500042164f,9.9831591347336789965539f,4.3641301682226361080552f,\ +3.5536251298653307451048f,2.8886888633814562510338f,3.9201329280029257873252f,\ +4.506292282304419138939f,2.6111634148093250118450f,9.7952503109731186015097f,\ +2.3554725153952857930051f,5.0837291957799548569596f,3.7851800417010572630261f,\ +4.0023921772430028909184f,3.7282899025795783742865f,1.1349138714412994044523f,\ +1.3200350064956956064322f,1.033622723333016191205f,1.0611948240957502775927f,\ +6.9362522133054556050524f,2.7427628125876060138921f,2.9129978203666571090480f,\ +2.6287097779191044288893f,6.3440332316119087963102f,3.3331803790647938079417f,\ +3.232303288716906752853f,2.8392132821292248578970f,6.0503685885843978553567f,\ +5.97801550527315583849f,1.1132838793654469267125f,3.245881561190152808649f,\ +5.6261355226100322468596f,4.879360051235307693673f,1.0393830059871540516525f,\ +8.600844382521195541358f,3.6390362044693791432337f,1.6618227902609816748480f,\ +5.8190766171103653903174f,3.0317800975513509165182f,1.4317874896288145247780f,\ +1.7684883582783652578030f,3.3239379437878064926792f,1.2037132434952326764943f,\ +2.7602074516612016275019f,7.7838303437469935630588f,9.5073412259646765676280f,\ +2.876135722709581621359f,3.5566735327883938211357f,1.2476595365735951848052f,\ +2.6283216080771176770270f,5.626724486525223944966f,5.2700527142503661437445f,\ +1.947843685866482488223f,2.4591014722412456450229f,4.6629613384726322777851f,\ +3.0744375934314547293980f,2.941691847776138235560f,2.2712495380631962937912f,\ +2.2091873443061853521385f,2.6627523904580243652163f,3.620810677149941980701f,\ +2.1403583776871992760960f,2.60459578833533411668f,1.44405011565138674534f,\ +2.4451768086326421958177f,8.7406971172900771449576f,2.9668660249388048022468f,\ +7.1345282822869320327186f,1.3206079780376647203610f,7.9421501528532889579992f,\ +2.7446705104699793409395f,7.899610206034289205945f,3.0982115292188217026137f,\ +2.188878814912672332582f,9.9223686842029490406958f,1.050847236808647444661f,\ +4.8717958623764170411619f,1.0103978539346472054206f,4.3630024226971446665857f,\ +3.4802846963616036468636f,1.6778955425132806578148f,5.4500504945081766905446f,\ +2.8160246398239912046790f,9.2856819400663770380788f,4.4555982016116564281560f,\ +1.7966632806306144232167f,1.5573904303972738727424f,4.8545528865355054293218f,\ +2.6493880955344351058045f,4.7145924820058668913703f,6.715365764647851953839f,\ +8.6313869205483300106607f,6.8017741785747647398352f,5.5268535777229557126589f,\ +1.0458370517364794505255f,6.3329081834648581761371f,1.8007521573290650174215f,\ +1.8569959706339840277423f,5.6996616704912836937069f,2.7211906353565828986518f,\ +4.39133583975054442305f,4.9634860523035060353436f,4.4664003219774368602657f,\ +1.6994915629457518768675f,3.5517043359266669000363f,2.0132592604656482926373f,\ +1.089188511318553986840f,1.4804307775633922528158f,3.7142285642082217833604f,\ +1.0084192481976341770888f,2.8129026699324310989425f,1.142039354028792752516f,\ +3.1304416262076188992580f,1.5448749964710146720392f,3.6654143041103313116480f,\ +7.181596810407055997416f,1.200815897009761545888f,4.1650466551411478022260f,\ +1.6753440162955879344509f,7.21455374553604489307f,5.1458272136838258958846f,\ +6.3475007446385660614396f,4.1241309049764449667919f,7.8671666160643907161898f,\ +7.450340721306332625318f,6.9020291813359317956156f,1.5999099356849897368704f,\ +2.0732602743658210542321f,5.0197555099972408498843f,1.6117976431404783532741f,\ +3.3285498202301311287954f,8.7426299668587681424015f,3.3201701404059416056214f,\ +2.824777184045289768477f,2.4895983330428896884712f,5.297695284941288385028f,\ +4.7033315715610184426509f,1.7322660897889763376156f,5.1580335293393115847493f,\ +2.1313235787699511547544f,3.0463297621649392254994f,5.8381695091926415486228f,\ +2.0672068075526839336931f,2.2335658257207593457849f,5.5129217858217156589262f,\ +9.3383940240121710019139f,1.3416865210022335119788f,2.414828068089148516151f,\ +3.0778521213560718905455f,3.3051788871815572790069f,1.2322124790790967008292f,\ +4.8238050773970124751600f,3.1785365175695079464901f,1.1325135056912927211670f,\ +1.038469874168215900667f,4.0279231974946911876145f,1.97418348876764548905f,\ +4.4170211379151878006155f,8.8100153590470213771368f,3.663237102755284801958f,\ +9.5199529943728755654320f,8.6007231965720354338600f,1.2656873409568392130353f,\ +5.3609192017188229684166f,6.8441954007674699056452f,8.5676999890922083125133f,\ +1.1240468894427289026083f,1.471390362736320067683f,8.8632624680127776173322f,\ +8.690487669968261386089f,1.3396974608773437598330f,4.5314328497492990521778f,\ +5.2385231533328031616747f,3.5638598811998751791918f,5.7635480038278910086547f,\ +7.6572652334911666116568f,4.351182064426246220989f,1.7474401555184173595592f,\ +5.8601125417902917291713f,1.8298226565740485227707f,1.336449046213224356450f,\ +2.8503682671020214023372f,1.6322873327021125700043f,1.1478454784492588824918f,\ +6.4255864384701686375934f,5.0911838672535516536755f,8.538411872415464287656f,\ +1.211033602346728965671f,1.1585806569998515769271f} + +#define CSOURCER {0.0521394181996583938599f,0.4229906541295349597931f,0.9028727160766720771790f,\ +0.270216043572872877121f,0.4369520992040634155273f,0.0152578153647482395172f,\ +0.6548111913725733757019f,0.0449309810064733028412f,0.2133925389498472213745f,\ +0.5342523609288036823273f,0.7069207737222313880920f,0.2409008811227977275848f,\ +0.2901745550334453582764f,0.7550916881300508975983f,0.2289740880951285362244f,\ +0.4858699417673051357269f,0.6168978903442621231079f,0.8581895199604332447052f,\ +0.9484143527224659919739f,0.2478762450627982616425f,0.3616605177521705627441f,\ +0.4686846160329878330231f,0.0340223712846636772156f,0.5221414058469235897064f,\ +0.3054678197950124740601f,0.2017288585193455219269f,0.4932554000988602638245f,\ +0.3831945951096713542938f,0.9221886433660984039307f,0.8073847130872309207916f,\ +0.3020078903064131736755f,0.2459809384308755397797f,0.1128082294017076492310f,\ +0.5088820648379623889923f,0.9855441050603985786438f,0.1797042894177138805389f,\ +0.0627280175685882568359f,0.6279844292439520359039f,0.8693526117131114006042f,\ +0.1181543781422078609467f,0.1908623259514570236206f,0.0912145380862057209015f,\ +0.7186726490035653114319f,0.310268334578722715378f,0.6592819057404994964600f,\ +0.9106893003918230533600f,0.9854423692449927330017f,0.8546765870414674282074f,\ +0.4121543709188699722290f,0.2333141383714973926544f,0.3814189555123448371887f,\ +0.6619831356219947338104f,0.212731502950191497803f,0.0520866983570158481598f,\ +0.9962206138297915458679f,0.6885302006267011165619f,0.6471334304660558700562f,\ +0.1732599367387592792511f,0.6790404403582215309143f,0.7853972460143268108368f,\ +0.5636796839535236358643f,0.5331145809032022953033f,0.9027821635827422142029f,\ +0.0063843778334558010101f,0.9165171254426240921021f,0.4580909651704132556915f,\ +0.8293677615001797676086f,0.7187301176600158214569f,0.4822947531938552856445f,\ +0.9620302417315542697906f,0.7949669538065791130066f,0.3603135510347783565521f,\ +0.4186353813856840133667f,0.6742749665863811969757f,0.9338985690847039222717f,\ +0.18709085090085864067f,0.1331541948020458221436f,0.4923790604807436466217f,\ +0.1599537869915366172791f,0.8545161760412156581879f,0.4317741785198450088501f,\ +0.5531771448440849781036f,0.2238912554457783699036f,0.1766969445161521434784f,\ +0.4150884225964546203613f,0.6159632527269423007965f,0.0658540828153491020203f,\ +0.9070334821008145809174f,0.0915193017572164535522f,0.4515289147384464740753f,\ +0.1814587051048874855042f,0.8840930457226932048798f,0.1760245300829410552979f,\ +0.3308106199838221073151f,0.2203056281432509422302f,0.3864682218991219997406f,\ +0.0431000906974077224731f,0.2068966520018875598907f,0.5356620447710156440735f,\ +0.0403697001747786998749f,0.3028300404548645019531f,0.6841432997025549411774f,\ +0.9040663270279765129089f,0.1237034215591847896576f,0.9687331896275281906128f,\ +0.3681504433043301105499f,0.1336043933406472206116f,0.6103821019642055034637f,\ +0.6861566565930843353271f,0.6903465152718126773834f,0.779607950709760189056f,\ +0.7986211306415498256683f,0.9899662975221872329712f,0.8009328362531960010529f,\ +0.6865246118977665901184f,0.8669688436202704906464f,0.0602840110659599304199f,\ +0.6239373260177671909332f,0.5747098876163363456726f,0.2018211721442639827728f,\ +0.9450219180434942245483f,0.6681275893934071063995f,0.3908910537138581275940f,\ +0.8401706661097705364227f,0.7179634161293506622314f,0.6875333772040903568268f,\ +0.6410528933629393577576f,0.8713398925028741359711f,0.5411411095410585403442f,\ +0.7853284222073853015900f,0.4244953142479062080383f,0.1414492088370025157928f,\ +0.1002616137266159057617f,0.0548216500319540500641f,0.3878128407523036003113f,\ +0.1043689115904271602631f,0.3819272350519895553589f,0.3513077651150524616241f,\ +0.3175459811463952064514f,0.1629057596437633037567f,0.2614045254886150360107f,\ +0.2885272116400301456451f,0.5902544697746634483337f,0.3439738727174699306488f,\ +0.8696897123008966445923f,0.0534855094738304615021f,0.1987623842433094978333f,\ +0.6515000048093497753143f,0.2086210027337074279785f,0.1333819651044905185699f,\ +0.5733251376077532768250f,0.9408131926320493221283f,0.9827877636998891830444f,\ +0.5483977575786411762238f,0.9164683455601334571838f,0.6582687790505588054657f,\ +0.1169865764677524566650f,0.6840933994390070438385f,0.2702485686168074607849f,\ +0.2898568115197122097015f,0.9279741663485765457153f,0.3171655726619064807892f,\ +0.0346859293058514595032f,0.8625448155216872692f,0.4192672073841094970703f,\ +0.9283133395947515964508f,0.1561186043545603752136f,0.3421049430035054683685f,\ +0.6677390020340681076050f,0.8959637288935482501984f,0.7042291918769478797913f,\ +0.2711754958145320415497f,0.7707630358636379241943f,0.6646066964603960514069f,\ +0.0564929535612463951111f,0.4913068241439759731293f,0.3226534072309732437134f,\ +0.4814894613809883594513f,0.4087979318574070930481f,0.2927415999583899974823f,\ +0.8891521319746971130371f,0.7954202168621122837067f,0.8309869421645998954773f,\ +0.8356794654391705989838f,0.4487133231014013290405f,0.9114312161691486835480f,\ +0.5860714400187134742737f,0.186776056420058012009f,0.2693342454731464385986f,\ +0.9950512335635721683502f,0.9318672632798552513123f,0.8146264008246362209320f,\ +0.1896832454949617385864f,0.0199374002404510974884f,0.1238022493198513984680f,\ +0.8879826921038329601288f,0.7732745558023452758789f,0.7526164152659475803375f,\ +0.8376457272097468376160f,0.2204564376734197139740f} + +#define CSOURCEI {0.3044399749487638473511f,0.3680851315148174762726f,0.7309098849073052406311f,\ +0.2054549823515117168427f,0.0948474220931529998779f,0.7900205166079103946686f,\ +0.3616730114445090293884f,0.5851024067960679531097f,0.0693163666874170303345f,\ +0.3493489888496696949005f,0.1835746141150593757629f,0.3968948009423911571503f,\ +0.0996801331639289855957f,0.8549251281656324863434f,0.8357324106618762016296f,\ +0.9418399124406278133392f,0.0554450806230306625366f,0.6700697620399296283722f,\ +0.4463311964645981788635f,0.1178311700932681560516f,0.0399966575205326080322f,\ +0.8887174264527857303619f,0.1686335867270827293396f,0.9620060822926461696625f,\ +0.781102331355214118958f,0.2049232018180191516876f,0.6681626336649060249329f,\ +0.7458390104584395885468f,0.6444613933563232421875f,0.5694789239205420017242f,\ +0.7798063186928629875183f,0.4667183174751698970795f,0.2390516381710767745972f,\ +0.2273887698538601398468f,0.0535939196124672889709f,0.0797578911297023296356f,\ +0.0830229185521602630615f,0.2299542189575731754303f,0.4078942527994513511658f,\ +0.3135930425487458705902f,0.2988875750452280044556f,0.0152183887548744678497f,\ +0.6087857903912663459778f,0.4139107796363532543182f,0.8067577406764030456543f,\ +0.1505197458900511264801f,0.7943486524745821952820f,0.6584644555114209651947f,\ +0.9843795206397771835327f,0.8309051920659840106964f,0.7626284742727875709534f,\ +0.9873227919451892375946f,0.2627140469849109649658f,0.2271525249816477298737f,\ +0.242022148333489894867f,0.5921032777987420558929f,0.6258154083043336868286f,\ +0.2771522742696106433868f,0.8628354417160153388977f,0.8079399424605071544647f,\ +0.4837554544210433959961f,0.0143989124335348606110f,0.0487624881789088249207f,\ +0.1519355042837560176849f,0.8873454760760068893433f,0.0273414407856762409210f,\ +0.5470371553674340248108f,0.8518478940241038799286f,0.5534047596156597137451f,\ +0.1433433503843843936920f,0.8160062870010733604431f,0.7087611532770097255707f,\ +0.6693260166794061660767f,0.9310019579716026782990f,0.9888748200610280036926f,\ +0.6374907079152762889862f,0.9456876888871192932129f,0.1145771169103682041168f,\ +0.6323727769777178764343f,0.7284730165265500545502f,0.8856631275266408920288f,\ +0.4942793031223118305206f,0.0190941328182816505432f,0.1748895938508212566376f,\ +0.7399766482412815093994f,0.4661670760251581668854f,0.1322575574740767478943f,\ +0.9087754092179238796234f,0.11615646071732044220f,0.7354039144702255725861f,\ +0.1216390328481793403625f,0.2898616599850356578827f,0.7108344733715057373047f,\ +0.3166244276799261569977f,0.4294263450428843498230f,0.6909029199741780757904f,\ +0.1338429730385541915894f,0.4151599411852657794952f,0.3047454515472054481506f,\ +0.323238662909716367722f,0.2928581796586513519287f,0.2828734577633440494537f,\ +0.9256087234243750572205f,0.1463391608558595180511f,0.3073406759649515151978f,\ +0.6423539933748543262482f,0.8470350624993443489075f,0.2050857576541602611542f,\ +0.4205227121710777282715f,0.7732202881015837192535f,0.9940918935462832450867f,\ +0.2385355173610150814056f,0.87819238565862178802f,0.8542838920839130878448f,\ +0.9186090314760804176331f,0.9039202476851642131805f,0.2430246956646442413330f,\ +0.6553216264583170413971f,0.5383144235238432884216f,0.4596298984251916408539f,\ +0.1132094729691743850708f,0.1722074192948639392853f,0.0771417664363980293274f,\ +0.2509303349070250988007f,0.7141261845827102661133f,0.2991535165347158908844f,\ +0.4254599986597895622253f,0.8421654864214360714f,0.3318156134337186813354f,\ +0.1318110679276287555695f,0.6389746675267815589905f,0.1391938696615397930145f,\ +0.0569984130561351776123f,0.9949800879694521427155f,0.7950511714443564414978f,\ +0.3458094871602952480316f,0.8083905372768640518188f,0.7886787918396294116974f,\ +0.9252098770812153816223f,0.0978971007280051708221f,0.1040655449032783508301f,\ +0.7463223063386976718903f,0.2425431115552783012390f,0.6190718798898160457611f,\ +0.5496137794107198715210f,0.1987607558257877826691f,0.3828040296211838722229f,\ +0.2415534253232181072235f,0.5118484236299991607666f,0.4379267231561243534088f,\ +0.8779173558577895164490f,0.1360241672955453395844f,0.9468084294348955154419f,\ +0.2738420856185257434845f,0.5806620018556714057922f,0.5942221391014754772186f,\ +0.8508083224296569824219f,0.378734225872904062271f,0.2592755584046244621277f,\ +0.7080181255005300045013f,0.3032848816365003585815f,0.0120116178877651691437f,\ +0.0807306626811623573303f,0.7887271861545741558075f,0.5701906941831111907959f,\ +0.2198487878777086734772f,0.2014332404360175132751f,0.3704045540653169155121f,\ +0.2366845849901437759399f,0.103130650240927934647f,0.1840926231816411018372f,\ +0.1408759090118110179901f,0.8378689214587211608887f,0.2475062184967100620270f,\ +0.4595135403797030448914f,0.6442520259879529476166f,0.9563237931579351425171f,\ +0.9093016912229359149933f,0.552059986628592014313f,0.0986777986399829387665f,\ +0.2551880665123462677002f,0.0510429129935801029205f,0.287540963850915431976f,\ +0.1730656377039849758148f,0.4155373144894838333130f,0.8203372103162109851837f,\ +0.7022680984809994697571f,0.0665632444433867931366f,0.4468086212873458862305f,\ +0.5658646025694906711578f,0.8720351336523890495300f,0.7345057590864598751068f,\ +0.3390222620218992233276f,0.9842283879406750202179f,0.3797692963853478431702f,\ +0.6046022842638194561005f,0.5255502574145793914795f,0.4914151043631136417389f,\ +0.6406045397743582725525f,0.6271067834459245204926f} + +#define CRESULTR {0.8616789149319691309969f,1.7528026973616770423092f,-0.8951576871785223987743f,\ +1.65839939772781952421f,2.670002318435218402470f,-0.2545370391954314692740f,\ +3.0388538062879217882539f,0.2458549627872582132859f,1.613753544958956620547f,\ +2.373140931257777808128f,4.6441801233654604885714f,1.0634345748771927286924f,\ +1.8994737292284431529055f,-2.2038440203063891509316f,-0.5865941523645769040129f,\ +-1.7230123422001577537799f,4.1053385752577806755426f,0.2012772387479372093733f,\ +4.5889850773872540301568f,1.7048706561180972940406f,2.2898980543543361321213f,\ +-1.3470616397449584056289f,1.000979918376255772827f,-1.998745505240199671348f,\ +-0.4562266859878671976247f,1.4173389563254865652908f,0.1005345377926576272420f,\ +-0.3529055360142766550879f,0.7252834368660135977436f,1.6469252220572825340383f,\ +-0.4467771279955162211373f,0.8387209999987794706300f,1.1050928340202259558822f,\ +2.7952258554924300781863f,9.5990623048041356923932f,1.4870960004060611581167f,\ +1.1343408485170072275139f,3.664612325782657276108f,4.3703600670610898148993f,\ +0.9850722877732481785884f,1.1986551091809227731488f,1.2329567566066641504108f,\ +0.8800935914266996284994f,1.1832797973754654030643f,-1.2910350436339537161246f,\ +7.6571266019263468649569f,-2.4697863053099986530015f,0.3907140975028082774401f,\ +-1.655858606271026545187f,-0.5746050598208488624508f,-0.4432229757632685229751f,\ +-2.9672355970693655713433f,1.3424314109887605095395f,0.9766924789772336579219f,\ +8.4134496859782270661299f,1.0052614992336186272581f,0.5743785834192948192012f,\ +1.1969550027714319639927f,-1.929705102086765711178f,-1.7419725915375741109870f,\ +1.6154412531361730387403f,3.4109538321538344085582f,7.9439933441705683492273f,\ +0.9533381558732610949747f,-3.7544424962625675412653f,2.8656935239804841586420f,\ +2.0671417342103679537502f,-1.992605711686495695290f,0.8871291147322790671126f,\ +8.6682584526683399417379f,-1.8914875129526329544660f,-0.1401839917101320720505f,\ +0.0776428549278006530088f,-2.560598020200964608506f,-5.5730608716054170770349f,\ +0.1580601872370170912774f,-0.7747638844786981504598f,2.9997587850927698305270f,\ +0.1654170760372596638010f,-0.7609360918468449641594f,-1.2203777718239325889016f,\ +1.4986628046871217634362f,1.6729053694884241654250f,1.381936351079181113377f,\ +-0.3450348611667466425246f,1.9706824980594530583033f,1.1101876800122791877357f,\ +-4.0234586128898426338196f,1.1906849924222373537930f,-0.3456983902450189716227f,\ +1.459474884821820195313f,6.0143936939361175575414f,-0.0988538832443286719087f,\ +1.597480633260187854461f,0.9129179205342567993142f,-0.0488550375477847867445f,\ +1.0523032581716083022627f,0.9288642069528815214952f,2.6218635570145862878633f,\ +0.8072263924219229558332f,1.5687383989731884526009f,3.842899231404802939949f,\ +-4.2624261266025849081984f,1.2547786671163203564561f,7.0708952400269708959968f,\ +0.2138025786160810681746f,-0.5039897261739162415140f,3.6311482225254705369366f,\ +2.7511697563589119219785f,-1.0199337285771719052718f,-3.9613785741953506658319f,\ +5.3644844232216355450760f,-4.261894060044243204288f,-2.440577323716713653567f,\ +-2.5162841502447741426352f,-3.5973154891472156613474f,0.9736685483701841281601f,\ +0.2600685777468328963025f,1.2216142738714919069309f,0.7803738463829824612006f,\ +8.5132680918277277015704f,4.2958732896863782713126f,2.4210488328114880829389f,\ +5.79755622526757630197f,-0.3837915438103189358365f,3.75964173341358565139f,\ +2.4386368546342671592697f,-2.6776116153796971630641f,2.5102046010802867570533f,\ +5.821177306248865868099f,0.2640059162189042352153f,1.31446884371506267364f,\ +1.2488505950260830879017f,-0.7482976046844636019983f,-0.6275966789165404735584f,\ +0.8893791469828959961319f,-0.6903683581860716733658f,-0.5450973252013330272447f,\ +-1.1028092549899868313190f,1.4183297900536229185775f,1.773434980128008042755f,\ +-0.2859252183654940604463f,3.3012839410905678860786f,0.3197431184385559066463f,\ +2.2263782918939738487f,1.0146592610810074575056f,1.0051892636742449926857f,\ +3.8066700246852320788093f,0.6179593115281443171938f,0.7249522760637888696422f,\ +-1.6307732738859830323719f,8.3014440376437921287334f,-5.5006403965152692592255f,\ +2.8552972304138433123910f,1.9111692714948702587208f,0.9158531650125845136046f,\ +-0.4956155140563224259509f,3.1079184772588979157604f,1.5408715933614589577161f,\ +-0.1158617194706384467828f,6.4886221326459514457952f,2.0749108619541400955200f,\ +1.0644832532013759340828f,-1.769719547358157507588f,0.6696790607045245424800f,\ +7.4150575771959807980238f,1.2812290258043323998294f,1.4461251309266722753222f,\ +3.9789946052408695642555f,7.6489498856535602655526f,4.6130068144799594165306f,\ +1.7697609579312818528507f,-2.069533011859056692572f,3.8895055335340873448047f,\ +0.5587033140125831076617f,0.2704103697575463982616f,-1.2405136002402707973147f,\ +-1.5134557095053997599621f,0.7566012248243810800474f,1.9117596963451992664318f,\ +6.447932326957059423478f,6.2003146906774571078813f,5.344469754581457898723f,\ +6.3131049040564706231748f,1.6189521464425622454542f,-2.550619599252561098268f,\ +-0.1781945407584817342439f,1.5193399835582135359857f,0.9590574537903557850171f,\ +2.6165522176992435099407f,-3.6188103766399173366608f,-0.7842216609502735691350f,\ +1.0995885822264845899099f,-0.6708497380942372023682f,0.8529889923514888394607f,\ +1.3729938244229744626068f,2.0937757207972880202362f,2.4059764571152468803916f,\ +0.6578397026948303860650f,0.2101416292188336421010f} + +#define CRESULTI {0.7272548245748866602156f,1.9854303798419310478351f,7.9457339679995211412233f,\ +0.8488412125630352411676f,0.5925642663233093854203f,1.0039936024574043216262f,\ +3.3414071705695578273776f,1.081403318108233868600f,0.2597757190370896807075f,\ +2.4651157060741901716483f,2.0890001084665330566281f,1.3789900497554921088295f,\ +0.4437915251064282751159f,5.2455794258294652365748f,1.5894481231762551676212f,\ +2.5300661616939024156636f,0.5269825145414556155643f,7.2114139192406465639351f,\ +7.6023759189514121814568f,0.474253708603649237752f,0.2114880398457448518190f,\ +2.615809838094426353905f,0.40946194724304191270f,2.660538085383924222782f,\ +1.96836124960102032411f,0.7232671662286862535041f,3.111923291962274351619f,\ +2.3906358097335185242116f,8.3281383621146503060118f,6.2028635418634419096406f,\ +1.9540840065283944237962f,1.5494625392422922693925f,0.678202414336372183534f,\ +1.6137618479690827300033f,1.1906180579664376040228f,0.2762165158082148241903f,\ +0.2195296884715036700442f,2.1446447456633843664520f,5.9741482912408789829328f,\ +0.867597682821533044972f,0.9856997170507159067299f,0.0432225133986508733286f,\ +5.157507023966152459593f,1.6654420749486735786604f,4.3768952511866894283799f,\ +2.7654687058579336955688f,9.3496470896606780343063f,7.1454288620924977237792f,\ +1.9826603369952136013410f,1.6118978629668390123442f,2.3655185893491501580854f,\ +3.5043054723514432957643f,0.9281385166491339377970f,0.5631636514321668451899f,\ +5.2429430139302253266465f,4.7766052326802679317552f,4.4001190809809767046090f,\ +0.8877792684794596489439f,4.368513033448009785786f,5.8469722698220429890625f,\ +3.2860624631665138473124f,0.1131306785331901154645f,0.8957170057781025374055f,\ +0.3478275260751592101727f,7.3475483360254925102595f,0.1806513152317329173879f,\ +6.4267295981620362610442f,4.8385133662587431757629f,2.9034462647978491744993f,\ +2.9696777404396668131881f,5.9431363200854443462617f,2.288232180725223052775f,\ +2.6208664370161969259243f,3.9693733894002809492463f,6.5342907486237020719955f,\ +1.5303355006050158859665f,1.1162736854609731640409f,0.8102944693911555695820f,\ +1.4357885386399356075771f,7.1128736564949752718690f,2.4113210957685655699834f,\ +3.2448135685253003401840f,0.0735981604163226527104f,0.5886735706121437594618f,\ +2.5776994154551164939448f,3.629648394334391792171f,0.3489446690644626425382f,\ +6.9989048057282028381110f,0.3262782224609265258053f,2.8071160078618211386470f,\ +0.4198114062820728631387f,4.7398318369933782889802f,1.4965081339145251959621f,\ +1.4268961804460684739126f,1.3873315379595159146930f,2.4343374430326063517782f,\ +0.3349767990169579268134f,1.3153540511429153703205f,2.2160059373349834110911f,\ +0.7434370339011254769090f,1.253936082334201174149f,2.929523877257661279572f,\ +6.7911802335851190193239f,0.4395719515095502516466f,6.0491461603781946365643f,\ +2.324454495134102849363f,1.263389181071626898856f,1.8546860110985297076525f,\ +3.9998192433092101261f,4.7944107664763828680066f,4.5331878790851858340716f,\ +3.2834478309428574149820f,8.7932187934310537258398f,5.8331542843869588210737f,\ +4.1564133542481211947006f,6.4227435117275550879867f,0.6098783468239901139896f,\ +4.1986123528738117371972f,3.5516439676096513977654f,1.3871043178012487651074f,\ +2.2708618645232787613963f,1.7986812579372670750644f,0.4346204841779990335482f,\ +3.7800771946382365484851f,5.2094034804655127146589f,3.0955575196143279015359f,\ +3.6332179827516117853747f,6.9371912371180162182327f,2.4051741186173338782339f,\ +1.8230887730163647386661f,2.6444893659134645069742f,0.4363389413001144689908f,\ +0.1648513733929060642858f,0.8527852017899220093966f,2.3603668450398678224644f,\ +0.9089049761135811200674f,2.308482167770112614136f,2.1783058145209865941183f,\ +1.760657933306752465086f,0.3252423522775149677955f,0.4332745364849133751228f,\ +1.922093093505325978043f,2.0627370874500741138036f,2.184596685297794049774f,\ +7.065327858525169979487f,0.4997624596555385045882f,1.2195103000378291202566f,\ +2.3664724579469695875389f,1.4939021538810592915070f,1.1500903795661745476764f,\ +3.3700776947908237524132f,2.6885676432811540514933f,7.8817788746511769915060f,\ +2.0842223123540501994455f,8.0258609977666459656120f,4.459626216287859712395f,\ +1.211699888667206126414f,3.6993867326108555992903f,1.0474037470444790276503f,\ +1.9457553430070655409168f,5.4468957190088280739815f,0.0574020495019843535189f,\ +0.200187099983916316770f,7.068768975957844702407f,2.5390022146337085651169f,\ +4.1109611351982495719426f,0.6408861046921948689814f,1.6557914176531909333789f,\ +2.4121782951381569581883f,1.8513041911556680219064f,2.0815970551782250197448f,\ +0.5950929849744456268112f,5.5238367721873160576251f,2.4925246722707656843454f,\ +0.9924655082402137340480f,3.0877905115051524909120f,1.6970418763867407552226f,\ +2.6253251426459978112860f,2.4490847102298514137431f,0.4420113886405674930025f,\ +4.2948005817238108505762f,0.7321010758042626465070f,4.1657752085548631626466f,\ +2.6579704039050806585465f,2.2968127063505034968216f,7.7460044759776618406022f,\ +3.851297516891551087070f,0.2347062006554227753252f,1.5927846479405329827017f,\ +9.5341720234343370066199f,7.7442521101341821321284f,6.478396320140080710814f,\ +1.0891470158039435744968f,0.8038176255057727370712f,1.0202487324661473344634f,\ +7.6035293179001266494765f,5.5512724543076572558675f,5.1202912658114749788751f,\ +6.849389505178533177343f,1.6479880468591965314573f} + + + + +void sexp10sTest(void) { + float in[]=SOURCE; + float res[]=RESULT; + float out; + int i; + + for (i=0;i<200;i++){ + out=sexp10s(in[i]); + assert(( (fabs(out-res[i]))/(fabs(out)) )<1e-6); + } +} + +void cexp10sTest(void) { + float inR[]=CSOURCER; + float inI[]=CSOURCEI; + float resR[]=CRESULTR; + float resI[]=CRESULTI; + floatComplex in,out; + int i; + + for (i=0;i<200;i++){ + in=FloatComplex(inR[i],inI[i]); + out=cexp10s(in); + assert(( (fabs(creals(out)-resR[i]))/(fabs(creals(out))) )<8e-6); + assert(( (fabs(cimags(out)-resI[i]))/(fabs(cimags(out))) )<1e-6); + } +} + +void sexp10aTest(void) { + float in[]=SOURCE; + float res[]=RESULT; + float out[200]; + int i,j; + j=1; + sexp10a(in,200,out); + for (i=0;i<200;i++){ + assert(( (fabs(out[i]-res[i]))/(fabs(out[i])) )<1e-6); + } +} + +void cexp10aTest(void) { + float inR[]=CSOURCER; + float inI[]=CSOURCEI; + float resR[]=CRESULTR; + float resI[]=CRESULTI; + floatComplex *in,out[200]; + int i; + + in=FloatComplexMatrix(inR,inI,200); + cexp10a(in,200,out); + + for (i=0;i<200;i++){ + assert(( (fabs(creals(out[i])-resR[i]))/(fabs(creals(out[i]))) )<8e-6); + assert(( (fabs(cimags(out[i])-resI[i]))/(fabs(cimags(out[i]))) )<1e-6); + } +} + +int testExp10(void) { + printf("\n>>>> Float 10-Base Exponential Tests\n"); + sexp10sTest(); + cexp10sTest(); + sexp10aTest(); + cexp10aTest(); + return 0; +} + +int main(void) { + assert(testExp10() == 0); + return 0; +} diff --git a/2.3-1/src/c/elementaryFunctions/exp10/zexp10a.c b/2.3-1/src/c/elementaryFunctions/exp10/zexp10a.c new file mode 100644 index 00000000..10413355 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/exp10/zexp10a.c @@ -0,0 +1,20 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "exp10.h" + +void zexp10a(doubleComplex* x, int size, doubleComplex* y) { + int i = 0; + for (i = 0; i < size; ++i) { + y[i] = zexp10s(x[i]); + } +} diff --git a/2.3-1/src/c/elementaryFunctions/exp10/zexp10s.c b/2.3-1/src/c/elementaryFunctions/exp10/zexp10s.c new file mode 100644 index 00000000..6d1ebfd6 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/exp10/zexp10s.c @@ -0,0 +1,18 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "exp10.h" +#include "pow.h" + +doubleComplex zexp10s(doubleComplex z) { + return zpows(DoubleComplex(10.0, 0.0), z); +} diff --git a/2.3-1/src/c/elementaryFunctions/fix/Makefile.am b/2.3-1/src/c/elementaryFunctions/fix/Makefile.am new file mode 100644 index 00000000..a1d1cfdf --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/fix/Makefile.am @@ -0,0 +1,60 @@ +## +## Scilab ( http://www.scilab.org/ ) - This file is part of Scilab +## Copyright (C) 2006-2008 - INRIA - Bruno JOFRET +## +## This file must be used under the terms of the CeCILL. +## This source file is licensed as described in the file COPYING, which +## you should have received as part of this distribution. The terms +## are also available at +## http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt +## +## + + + +libFix_la_CFLAGS = -I $(top_builddir)/src/c/type \ + -I $(top_builddir)/src/c/elementaryFunctions/includes + +instdir = $(top_builddir)/lib + +pkglib_LTLIBRARIES = libFix.la + +libFix_la_SOURCES = $(HEAD) $(SRC) + +HEAD = ../includes/fix.h + +SRC = sfixs.c \ + dfixs.c \ + cfixs.c \ + zfixs.c \ + sfixa.c \ + dfixa.c \ + cfixa.c \ + zfixa.c + +#### +# Checking Part +#### + +check_INCLUDES = -I $(top_builddir)/src/c/elementaryFunctions/includes \ + -I $(top_builddir)/src/c/type + +check_LDADD = $(top_builddir)/src/c/type/libDoubleComplex.la \ + $(top_builddir)/src/c/type/libFloatComplex.la \ + $(top_builddir)/src/c/elementaryFunctions/fix/libFix.la \ + @LIBMATH@ + +check_PROGRAMS = testFloatFix testDoubleFix + +TESTS = testFloatFix testDoubleFix + +# +# -*- Fix Tests -*- +# +testFloatFix_SOURCES = testFloatFix.c +testFloatFix_CFLAGS = $(check_INCLUDES) +testFloatFix_LDADD = $(check_LDADD) + +testDoubleFix_SOURCES = testDoubleFix.c +testDoubleFix_CFLAGS = $(check_INCLUDES) +testDoubleFix_LDADD = $(check_LDADD) diff --git a/2.3-1/src/c/elementaryFunctions/fix/Makefile.in b/2.3-1/src/c/elementaryFunctions/fix/Makefile.in new file mode 100644 index 00000000..49c3c5cd --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/fix/Makefile.in @@ -0,0 +1,788 @@ +# Makefile.in generated by automake 1.11.1 from Makefile.am. +# @configure_input@ + +# Copyright (C) 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002, +# 2003, 2004, 2005, 2006, 2007, 2008, 2009 Free Software Foundation, +# Inc. +# This Makefile.in is free software; the Free Software Foundation +# gives unlimited permission to copy and/or distribute it, +# with or without modifications, as long as this notice is preserved. + +# This program is distributed in the hope that it will be useful, +# but WITHOUT ANY WARRANTY, to the extent permitted by law; without +# even the implied warranty of MERCHANTABILITY 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to not export all variables. +# Otherwise a system limit (for SysV at least) may be exceeded. +.NOEXPORT: diff --git a/2.3-1/src/c/elementaryFunctions/fix/cfixa.c b/2.3-1/src/c/elementaryFunctions/fix/cfixa.c new file mode 100644 index 00000000..525d7393 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/fix/cfixa.c @@ -0,0 +1,18 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Arnaud Torset + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "fix.h" + +void cfixa(floatComplex* x, int size, floatComplex* out) { + int i = 0; + for (i=0;i<size;i++) out[i] = cfixs(x[i]); +} diff --git a/2.3-1/src/c/elementaryFunctions/fix/cfixs.c b/2.3-1/src/c/elementaryFunctions/fix/cfixs.c new file mode 100644 index 00000000..1d9e753a --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/fix/cfixs.c @@ -0,0 +1,26 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Arnaud Torset + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include <math.h> +#include "fix.h" + +floatComplex cfixs(floatComplex x) { + float fixReal = 0, fixImag = 0; + + if (creals(x)>=0) fixReal = floorf(creals(x)); + else fixReal = ceilf(creals(x)); + + if (cimags(x)>=0) fixImag = floorf(cimags(x)); + else fixImag = ceilf(cimags(x)); + + return FloatComplex(fixReal, fixImag); +} diff --git a/2.3-1/src/c/elementaryFunctions/fix/dfixa.c b/2.3-1/src/c/elementaryFunctions/fix/dfixa.c new file mode 100644 index 00000000..4d000ca1 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/fix/dfixa.c @@ -0,0 +1,19 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Arnaud Torset + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include <math.h> +#include "fix.h" + +void dfixa(double* x, int size, double* out) { + int i = 0; + for (i=0;i<size;i++) out[i] = dfixs(x[i]); +} diff --git a/2.3-1/src/c/elementaryFunctions/fix/dfixs.c b/2.3-1/src/c/elementaryFunctions/fix/dfixs.c new file mode 100644 index 00000000..6fdbadf6 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/fix/dfixs.c @@ -0,0 +1,19 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Arnaud Torset + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include <math.h> +#include "fix.h" + +double dfixs(double x) { + if (x>=0) return floor(x); + else return ceil(x); +} diff --git a/2.3-1/src/c/elementaryFunctions/fix/sfixa.c b/2.3-1/src/c/elementaryFunctions/fix/sfixa.c new file mode 100644 index 00000000..4b27dae2 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/fix/sfixa.c @@ -0,0 +1,19 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Arnaud Torset + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include <math.h> +#include "fix.h" + +void sfixa(float* x, int size, float* out) { + int i = 0; + for (i=0;i<size;i++) out[i] = sfixs(x[i]); +} diff --git a/2.3-1/src/c/elementaryFunctions/fix/sfixs.c b/2.3-1/src/c/elementaryFunctions/fix/sfixs.c new file mode 100644 index 00000000..50f58240 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/fix/sfixs.c @@ -0,0 +1,19 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Arnaud Torset + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include <math.h> +#include "fix.h" + +float sfixs(float x) { + if (x>=0) return floorf(x); + else return ceilf(x); +} diff --git a/2.3-1/src/c/elementaryFunctions/fix/testDoubleFix.c b/2.3-1/src/c/elementaryFunctions/fix/testDoubleFix.c new file mode 100644 index 00000000..2d7c6cb5 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/fix/testDoubleFix.c @@ -0,0 +1,150 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008 - INRIA - Arnaud TORSET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include <assert.h> +#include <math.h> +#include <stdio.h> +#include "fix.h" + +static void dfixsTest(void) { + assert ((fabs( dfixs(-2) - (-2))/fabs(dfixs(-2)))<1e-16); + assert ((fabs( dfixs(-1.9) - (-1))/fabs(dfixs(-1.9)))<1e-16); + assert ((fabs( dfixs(-1.8) - (-1))/fabs(dfixs(-1.8)))<1e-16); + assert ((fabs( dfixs(-1.7) - (-1))/fabs(dfixs(-1.7)))<1e-16); + assert ((fabs( dfixs(-1.6) - (-1))/fabs(dfixs(-1.6)))<1e-16); + assert ((fabs( dfixs(-1.5) - (-1))/fabs(dfixs(-1.5)))<1e-16); + assert ((fabs( dfixs(-1.4) - (-1))/fabs(dfixs(-1.4)))<1e-16); + assert ((fabs( dfixs(-1.3) - (-1))/fabs(dfixs(-1.3)))<1e-16); + assert ((fabs( dfixs(-1.2) - (-1))/fabs(dfixs(-1.2)))<1e-16); + assert ((fabs( dfixs(-1.1) - (-1))/fabs(dfixs(-1.1)))<1e-16); + assert ((fabs( dfixs(-1.0) - (-1))/fabs(dfixs(-1.0)))<1e-16); + assert (fabs( dfixs(-.9))<1e-16); + assert ((fabs( dfixs(1.0) - (1))/fabs(dfixs(1.0)))<1e-16); + assert ((fabs( dfixs(1.1) - (1))/fabs(dfixs(1.1)))<1e-16); + assert ((fabs( dfixs(1.2) - (1))/fabs(dfixs(1.2)))<1e-16); + assert ((fabs( dfixs(1.3) - (1))/fabs(dfixs(1.3)))<1e-16); + assert ((fabs( dfixs(1.4) - (1))/fabs(dfixs(1.4)))<1e-16); + assert ((fabs( dfixs(1.5) - (1))/fabs(dfixs(1.5)))<1e-16); + assert ((fabs( dfixs(1.6) - (1))/fabs(dfixs(1.6)))<1e-16); + assert ((fabs( dfixs(1.7) - (1))/fabs(dfixs(1.7)))<1e-16); + assert ((fabs( dfixs(1.8) - (1))/fabs(dfixs(1.8)))<1e-16); + assert ((fabs( dfixs(1.9) - (1))/fabs(dfixs(1.9)))<1e-16); + assert ((fabs( dfixs(2.0) - (2))/fabs(dfixs(2.0)))<1e-16); + +} + +static void zfixsTest(void) { + doubleComplex in, out; + + + /* tests allant de -2 + i a -1 + 2*i, les reels décroissants de 0.1, les imaginaires croissant de 0.1 + + 1 test supplementaire : -0.9 + 0.9*i*/ + + in=DoubleComplex(-2,1); + out = zfixs(in); + assert ((fabs( zreals(out) - (-2))/fabs(zreals(out)))<1e-16); + assert ((fabs( zimags(out) - (1))/fabs(zimags(out)))<1e-16); + in=DoubleComplex(-1.9,1.1); + out = zfixs(in); + assert ((fabs( zreals(out) - (-1))/fabs(zreals(out)))<1e-16); + assert ((fabs( zimags(out) - (1))/fabs(zimags(out)))<1e-16); + in=DoubleComplex(-1.8,1.2); + out = zfixs(in); + assert ((fabs( zreals(out) - (-1))/fabs(zreals(out)))<1e-16); + assert ((fabs( zimags(out) - (1))/fabs(zimags(out)))<1e-16); + in=DoubleComplex(-1.7,1.3); + out = zfixs(in); + assert ((fabs( zreals(out) - (-1))/fabs(zreals(out)))<1e-16); + assert ((fabs( zimags(out) - (1))/fabs(zimags(out)))<1e-16); + in=DoubleComplex(-1.6,1.4); + out = zfixs(in); + assert ((fabs( zreals(out) - (-1))/fabs(zreals(out)))<1e-16); + assert ((fabs( zimags(out) - (1))/fabs(zimags(out)))<1e-16); + in=DoubleComplex(-1.5,1.5); + out = zfixs(in); + assert ((fabs( zreals(out) - (-1))/fabs(zreals(out)))<1e-16); + assert ((fabs( zimags(out) - (1))/fabs(zimags(out)))<1e-16); + in=DoubleComplex(-1.4,1.6); + out = zfixs(in); + assert ((fabs( zreals(out) - (-1))/fabs(zreals(out)))<1e-16); + assert ((fabs( zimags(out) - (1))/fabs(zimags(out)))<1e-16); + in=DoubleComplex(-1.3,1.7); + out = zfixs(in); + assert ((fabs( zreals(out) - (-1))/fabs(zreals(out)))<1e-16); + assert ((fabs( zimags(out) - (1))/fabs(zimags(out)))<1e-16); + in=DoubleComplex(-1.2,1.8); + out = zfixs(in); + assert ((fabs( zreals(out) - (-1))/fabs(zreals(out)))<1e-16); + assert ((fabs( zimags(out) - (1))/fabs(zimags(out)))<1e-16); + in=DoubleComplex(-1.1,1.9); + out = zfixs(in); + assert ((fabs( zreals(out) - (-1))/fabs(zreals(out)))<1e-16); + assert ((fabs( zimags(out) - (1))/fabs(zimags(out)))<1e-16); + in=DoubleComplex(-1.0,2.0); + out = zfixs(in); + assert ((fabs( zreals(out) - (-1))/fabs(zreals(out)))<1e-16); + assert ((fabs( zimags(out) - (2))/fabs(zimags(out)))<1e-16); + in=DoubleComplex(-.9,.9); + out = zfixs(in); + assert (fabs( zreals(out))<1e-16); + assert (fabs( zimags(out))<1e-16); +} + +static void dfixaTest(void) { + int i; + double in[10]={1.2, 2.0,-2.0,-3.1,-4.5,6.1,4.1,4.9,-0.7, 0.5}; + double res[10]={1,2,-2,-3,-4,6,4,4,0,0}; + double out[10]; + + dfixa(in,10,out); + + for (i=0;i<10;i++) + if (out[i]!=0) assert (fabs(out[i]-res[i])/fabs(out[i]) <1e-16); + else assert(fabs(out[i]-res[i]) <1e-16); + +} + +static void zfixaTest(void) { + int i; + double inR[10]={1.2, 2.0,-2.0,-3.1,-4.5,6.1,4.1,4.9,-0.7, 0.5}; + double inI[10]={5.4,1.8,1.4,-4.0,-2.7,-0.3,1.5,1.4,7.3,-4.6}; + double resR[10]={1,2,-2,-3,-4,6,4,4,0,0}; + double resI[10]={5,1,1,-4,-2,0,1,1,7,-4}; + doubleComplex out[10],*in; + + in=DoubleComplexMatrix(inR,inI,10); + zfixa(in,10,out); + + for (i=0;i<10;i++){ + if (zreals(out[i])!=0) assert(fabs(zreals(out[i])-resR[i])/fabs(zreals(out[i])) <1e-16); + else assert(fabs(zreals(out[i])-resR[i]) <1e-16); + if (zimags(out[i])!=0) assert(fabs(zimags(out[i])-resI[i])/fabs(zimags(out[i])) <1e-16); + else assert(fabs(zimags(out[i])-resI[i]) <1e-16); + } + +} + + +static int testFix() { + printf("\n>>>> Double Fix Tests\n"); + dfixsTest(); + zfixsTest(); + dfixaTest(); + zfixaTest(); + + return 0; +} + +int main() { + assert(testFix() == 0); + return 0; +} diff --git a/2.3-1/src/c/elementaryFunctions/fix/testFloatFix.c b/2.3-1/src/c/elementaryFunctions/fix/testFloatFix.c new file mode 100644 index 00000000..44d5596c --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/fix/testFloatFix.c @@ -0,0 +1,148 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008 - INRIA - Arnaud TORSET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include <assert.h> +#include <math.h> +#include <stdio.h> +#include "fix.h" + + +static void sfixsTest(void) { + assert ((fabs( sfixs(-2) - (-2))/fabs(sfixs(-2)))<1e-16); + assert ((fabs( sfixs(-1.9f) - (-1))/fabs(sfixs(-1.9f)))<1e-16); + assert ((fabs( sfixs(-1.8f) - (-1))/fabs(sfixs(-1.8f)))<1e-16); + assert ((fabs( sfixs(-1.7f) - (-1))/fabs(sfixs(-1.7f)))<1e-16); + assert ((fabs( sfixs(-1.6f) - (-1))/fabs(sfixs(-1.6f)))<1e-16); + assert ((fabs( sfixs(-1.5f) - (-1))/fabs(sfixs(-1.5f)))<1e-16); + assert ((fabs( sfixs(-1.4f) - (-1))/fabs(sfixs(-1.4f)))<1e-16); + assert ((fabs( sfixs(-1.3f) - (-1))/fabs(sfixs(-1.3f)))<1e-16); + assert ((fabs( sfixs(-1.2f) - (-1))/fabs(sfixs(-1.2f)))<1e-16); + assert ((fabs( sfixs(-1.1f) - (-1))/fabs(sfixs(-1.1f)))<1e-16); + assert ((fabs( sfixs(-1.0f) - (-1))/fabs(sfixs(-1.0f)))<1e-16); + assert (fabs( sfixs(-.9f))<1e-16); + assert ((fabs( sfixs(1.0f) - (1))/fabs(sfixs(1.0f)))<1e-16); + assert ((fabs( sfixs(1.1f) - (1))/fabs(sfixs(1.1f)))<1e-16); + assert ((fabs( sfixs(1.2f) - (1))/fabs(sfixs(1.2f)))<1e-16); + assert ((fabs( sfixs(1.3f) - (1))/fabs(sfixs(1.3f)))<1e-16); + assert ((fabs( sfixs(1.4f) - (1))/fabs(sfixs(1.4f)))<1e-16); + assert ((fabs( sfixs(1.5f) - (1))/fabs(sfixs(1.5f)))<1e-16); + assert ((fabs( sfixs(1.6f) - (1))/fabs(sfixs(1.6f)))<1e-16); + assert ((fabs( sfixs(1.7f) - (1))/fabs(sfixs(1.7f)))<1e-16); + assert ((fabs( sfixs(1.8f) - (1))/fabs(sfixs(1.8f)))<1e-16); + assert ((fabs( sfixs(1.9f) - (1))/fabs(sfixs(1.9f)))<1e-16); + assert ((fabs( sfixs(2.0f) - (2))/fabs(sfixs(2.0f)))<1e-16); +} + +static void cfixsTest(void) { + floatComplex in, out; + + + /* tests allant de -2 + i a -1 + 2*i, les reels décroissants de 0.1, les imaginaires croissant de 0.1 + + 1 test supplementaire : -0.9 + 0.9*i*/ + + in=FloatComplex(-2,1); + out = cfixs(in); + assert ((fabs( creals(out) - (-2))/fabs(creals(out)))<1e-16); + assert ((fabs( cimags(out) - (1))/fabs(cimags(out)))<1e-16); + in=FloatComplex(-1.9f,1.1f); + out = cfixs(in); + assert ((fabs( creals(out) - (-1))/fabs(creals(out)))<1e-16); + assert ((fabs( cimags(out) - (1))/fabs(cimags(out)))<1e-16); + in=FloatComplex(-1.8f,1.2f); + out = cfixs(in); + assert ((fabs( creals(out) - (-1))/fabs(creals(out)))<1e-16); + assert ((fabs( cimags(out) - (1))/fabs(cimags(out)))<1e-16); + in=FloatComplex(-1.7f,1.3f); + out = cfixs(in); + assert ((fabs( creals(out) - (-1))/fabs(creals(out)))<1e-16); + assert ((fabs( cimags(out) - (1))/fabs(cimags(out)))<1e-16); + in=FloatComplex(-1.6f,1.4f); + out = cfixs(in); + assert ((fabs( creals(out) - (-1))/fabs(creals(out)))<1e-16); + assert ((fabs( cimags(out) - (1))/fabs(cimags(out)))<1e-16); + in=FloatComplex(-1.5f,1.5f); + out = cfixs(in); + assert ((fabs( creals(out) - (-1))/fabs(creals(out)))<1e-16); + assert ((fabs( cimags(out) - (1))/fabs(cimags(out)))<1e-16); + in=FloatComplex(-1.4f,1.6f); + out = cfixs(in); + assert ((fabs( creals(out) - (-1))/fabs(creals(out)))<1e-16); + assert ((fabs( cimags(out) - (1))/fabs(cimags(out)))<1e-16); + in=FloatComplex(-1.3f,1.7f); + out = cfixs(in); + assert ((fabs( creals(out) - (-1))/fabs(creals(out)))<1e-16); + assert ((fabs( cimags(out) - (1))/fabs(cimags(out)))<1e-16); + in=FloatComplex(-1.2f,1.8f); + out = cfixs(in); + assert ((fabs( creals(out) - (-1))/fabs(creals(out)))<1e-16); + assert ((fabs( cimags(out) - (1))/fabs(cimags(out)))<1e-16); + in=FloatComplex(-1.1f,1.9f); + out = cfixs(in); + assert ((fabs( creals(out) - (-1))/fabs(creals(out)))<1e-16); + assert ((fabs( cimags(out) - (1))/fabs(cimags(out)))<1e-16); + in=FloatComplex(-1.0f,2.0f); + out = cfixs(in); + assert ((fabs( creals(out) - (-1))/fabs(creals(out)))<1e-16); + assert ((fabs( cimags(out) - (2))/fabs(cimags(out)))<1e-16); + in=FloatComplex(-.9f,.9f); + out = cfixs(in); + assert (fabs( creals(out))<1e-16); + assert (fabs( cimags(out))<1e-16); +} + +static void sfixaTest(void) { + int i; + float in[10]={1.2f, 2.0f,-2.0f,-3.1f,-4.5f,6.1f,4.1f,4.9f,-0.7f, 0.5f}; + float res[10]={1,2,-2,-3,-4,6,4,4,0,0}; + float out[10]; + + sfixa(in,10,out); + + for (i=0;i<10;i++) + if (out[i]!=0) assert(fabs(out[i]-res[i])/fabs(out[i]) <1e-16); + else assert(fabs(out[i]-res[i]) <1e-16); +} + +static void cfixaTest(void) { + int i; + float inR[10]={1.2f, 2.0f,-2.0f,-3.1f,-4.5f,6.1f,4.1f,4.9f,-0.7f, 0.5f}; + float inI[10]={5.4f,1.8f,1.4f,-4.0f,-2.7f,-0.3f,1.5f,1.4f,7.3f,-4.6f}; + float resR[10]={1,2,-2,-3,-4,6,4,4,0,0}; + float resI[10]={5,1,1,-4,-2,0,1,1,7,-4}; + floatComplex out[10],*in; + + in=FloatComplexMatrix(inR,inI,10); + cfixa(in,10,out); + + for (i=0;i<10;i++){ + if (creals(out[i])!=0) assert(fabs(creals(out[i])-resR[i])/fabs(creals(out[i])) <1e-16); + else assert(fabs(creals(out[i])-resR[i]) <1e-16); + if (cimags(out[i])!=0) assert(fabs(cimags(out[i])-resI[i])/fabs(cimags(out[i])) <1e-16); + else assert(fabs(cimags(out[i])-resI[i]) <1e-16); + } + +} + +static int testFix() { + printf("\n>>>> Float Fix Tests\n"); + sfixsTest(); + cfixsTest(); + sfixaTest(); + cfixaTest(); + + return 0; +} + +int main() { + assert(testFix() == 0); + return 0; +} diff --git a/2.3-1/src/c/elementaryFunctions/fix/zfixa.c b/2.3-1/src/c/elementaryFunctions/fix/zfixa.c new file mode 100644 index 00000000..6c04fc6e --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/fix/zfixa.c @@ -0,0 +1,19 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Arnaud Torset + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include <math.h> +#include "fix.h" + +void zfixa(doubleComplex* x, int size, doubleComplex* out) { + int i = 0; + for (i=0;i<size;i++) out[i] = zfixs(x[i]); +} diff --git a/2.3-1/src/c/elementaryFunctions/fix/zfixs.c b/2.3-1/src/c/elementaryFunctions/fix/zfixs.c new file mode 100644 index 00000000..0a802d11 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/fix/zfixs.c @@ -0,0 +1,26 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Arnaud Torset + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include <math.h> +#include "fix.h" + +doubleComplex zfixs(doubleComplex x) { + double fixReal = 0, fixImag = 0; + + if (zreals(x)>=0) fixReal = floor(zreals(x)); + else fixReal = ceil(zreals(x)); + + if (zimags(x)>=0) fixImag = floor(zimags(x)); + else fixImag = ceil(zimags(x)); + + return DoubleComplex(fixReal, fixImag); +} diff --git a/2.3-1/src/c/elementaryFunctions/floor/Makefile.am b/2.3-1/src/c/elementaryFunctions/floor/Makefile.am new file mode 100644 index 00000000..469d2c1a --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/floor/Makefile.am @@ -0,0 +1,60 @@ +## +## Scilab ( http://www.scilab.org/ ) - This file is part of Scilab +## Copyright (C) 2006-2008 - INRIA - Bruno JOFRET +## +## This file must be used under the terms of the CeCILL. +## This source file is licensed as described in the file COPYING, which +## you should have received as part of this distribution. The terms +## are also available at +## http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt +## +## + + + +libFloor_la_CFLAGS = -I $(top_builddir)/src/c/type \ + -I $(top_builddir)/src/c/elementaryFunctions/includes + +instdir = $(top_builddir)/lib + +pkglib_LTLIBRARIES = libFloor.la + +libFloor_la_SOURCES = $(HEAD) $(SRC) + +HEAD = ../includes/floor.h + +SRC = sfloors.c \ + dfloors.c \ + cfloors.c \ + zfloors.c \ + sfloora.c \ + dfloora.c \ + cfloora.c \ + zfloora.c + +#### +# Checking Part +#### + +check_INCLUDES = -I $(top_builddir)/src/c/elementaryFunctions/includes \ + -I $(top_builddir)/src/c/type + +check_LDADD = $(top_builddir)/src/c/type/libDoubleComplex.la \ + $(top_builddir)/src/c/type/libFloatComplex.la \ + $(top_builddir)/src/c/elementaryFunctions/floor/libFloor.la \ + @LIBMATH@ + +check_PROGRAMS = testFloatFloor testDoubleFloor + +TESTS = testFloatFloor testDoubleFloor + +# +# -*- Floor Tests -*- +# +testFloatFloor_SOURCES = testFloatFloor.c +testFloatFloor_CFLAGS = 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--git a/2.3-1/src/c/elementaryFunctions/floor/cfloora.c b/2.3-1/src/c/elementaryFunctions/floor/cfloora.c new file mode 100644 index 00000000..941e8316 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/floor/cfloora.c @@ -0,0 +1,19 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Arnaud Torset + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include <math.h> +#include "floor.h" + +void cfloora(floatComplex* x, int size, floatComplex* out) { + int i = 0; + for (i=0;i<size;i++) out[i] = cfloors(x[i]); +} diff --git a/2.3-1/src/c/elementaryFunctions/floor/cfloors.c b/2.3-1/src/c/elementaryFunctions/floor/cfloors.c new file mode 100644 index 00000000..75368638 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/floor/cfloors.c @@ -0,0 +1,21 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Arnaud Torset + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include <math.h> +#include "floor.h" + +floatComplex cfloors(floatComplex x) { + float floorReal = floorf(creals(x)); + float floorImag = floorf(cimags(x)); + + return FloatComplex(floorReal, floorImag); +} diff --git a/2.3-1/src/c/elementaryFunctions/floor/dfloora.c b/2.3-1/src/c/elementaryFunctions/floor/dfloora.c new file mode 100644 index 00000000..fd70b53e --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/floor/dfloora.c @@ -0,0 +1,19 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Arnaud Torset + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include <math.h> +#include "floor.h" + +void dfloora(double* x, int size, double* out) { + int i = 0; + for (i=0;i<size;i++) out[i] = dfloors(x[i]); +} diff --git a/2.3-1/src/c/elementaryFunctions/floor/dfloors.c b/2.3-1/src/c/elementaryFunctions/floor/dfloors.c new file mode 100644 index 00000000..20b51054 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/floor/dfloors.c @@ -0,0 +1,18 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Arnaud Torset + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include <math.h> +#include "floor.h" + +double dfloors(double x) { + return (floor(x)); +} diff --git a/2.3-1/src/c/elementaryFunctions/floor/sfloora.c b/2.3-1/src/c/elementaryFunctions/floor/sfloora.c new file mode 100644 index 00000000..9a549e2a --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/floor/sfloora.c @@ -0,0 +1,19 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Arnaud Torset + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include <math.h> +#include "floor.h" + +void sfloora(float* x, int size, float* out) { + int i = 0; + for (i=0;i<size;i++) out[i] = sfloors(x[i]); +} diff --git a/2.3-1/src/c/elementaryFunctions/floor/sfloors.c b/2.3-1/src/c/elementaryFunctions/floor/sfloors.c new file mode 100644 index 00000000..0feaa72e --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/floor/sfloors.c @@ -0,0 +1,18 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Arnaud Torset + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include <math.h> +#include "floor.h" + +float sfloors(float x) { + return (floorf(x)); +} diff --git a/2.3-1/src/c/elementaryFunctions/floor/testDoubleFloor.c b/2.3-1/src/c/elementaryFunctions/floor/testDoubleFloor.c new file mode 100644 index 00000000..71e0b36f --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/floor/testDoubleFloor.c @@ -0,0 +1,152 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008 - INRIA - Arnaud TORSET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + + +#include <assert.h> +#include <math.h> +#include <stdio.h> +#include "floor.h" + + +static void dfloorsTest(void) { + assert ((fabs( dfloors(-2) - (-2))/fabs(dfloors(-2)))<1e-16); + assert ((fabs( dfloors(-1.9) - (-2))/fabs(dfloors(-1.9)))<1e-16); + assert ((fabs( dfloors(-1.8) - (-2))/fabs(dfloors(-1.8)))<1e-16); + assert ((fabs( dfloors(-1.7) - (-2))/fabs(dfloors(-1.7)))<1e-16); + assert ((fabs( dfloors(-1.6) - (-2))/fabs(dfloors(-1.6)))<1e-16); + assert ((fabs( dfloors(-1.5) - (-2))/fabs(dfloors(-1.5)))<1e-16); + assert ((fabs( dfloors(-1.4) - (-2))/fabs(dfloors(-1.4)))<1e-16); + assert ((fabs( dfloors(-1.3) - (-2))/fabs(dfloors(-1.3)))<1e-16); + assert ((fabs( dfloors(-1.2) - (-2))/fabs(dfloors(-1.2)))<1e-16); + assert ((fabs( dfloors(-1.1) - (-2))/fabs(dfloors(-1.1)))<1e-16); + assert ((fabs( dfloors(-1.0) - (-1))/fabs(dfloors(-1.0)))<1e-16); + assert ((fabs( dfloors(-0.9) - (-1))/fabs(dfloors(-0.9)))<1e-16); + assert ((fabs( dfloors(1.0) - (1))/fabs(dfloors(1.0)))<1e-16); + assert ((fabs( dfloors(1.1) - (1))/fabs(dfloors(1.1)))<1e-16); + assert ((fabs( dfloors(1.2) - (1))/fabs(dfloors(1.2)))<1e-16); + assert ((fabs( dfloors(1.3) - (1))/fabs(dfloors(1.3)))<1e-16); + assert ((fabs( dfloors(1.4) - (1))/fabs(dfloors(1.4)))<1e-16); + assert ((fabs( dfloors(1.5) - (1))/fabs(dfloors(1.5)))<1e-16); + assert ((fabs( dfloors(1.6) - (1))/fabs(dfloors(1.6)))<1e-16); + assert ((fabs( dfloors(1.7) - (1))/fabs(dfloors(1.7)))<1e-16); + assert ((fabs( dfloors(1.8) - (1))/fabs(dfloors(1.8)))<1e-16); + assert ((fabs( dfloors(1.9) - (1))/fabs(dfloors(1.9)))<1e-16); + assert ((fabs( dfloors(2.0) - (2))/fabs(dfloors(2.0)))<1e-16); + +} + +static void zfloorsTest(void) { + doubleComplex in, out; + + + /* tests allant de -2 + i a -1 + 2*i, les reels décroissants de 0.1, les imaginaires croissant de 0.1 + + 1 test supplementaire : -0.9 + 0.9*i*/ + + in=DoubleComplex(-2,1); + out = zfloors(in); + assert ((fabs( zreals(out) - (-2))/fabs(zreals(out)))<1e-16); + assert ((fabs( zimags(out) - (1))/fabs(zimags(out)))<1e-16); + in=DoubleComplex(-1.9,1.1); + out = zfloors(in); + assert ((fabs( zreals(out) - (-2))/fabs(zreals(out)))<1e-16); + assert ((fabs( zimags(out) - (1))/fabs(zimags(out)))<1e-16); + in=DoubleComplex(-1.8,1.2); + out = zfloors(in); + assert ((fabs( zreals(out) - (-2))/fabs(zreals(out)))<1e-16); + assert ((fabs( zimags(out) - (1))/fabs(zimags(out)))<1e-16); + in=DoubleComplex(-1.7,1.3); + out = zfloors(in); + assert ((fabs( zreals(out) - (-2))/fabs(zreals(out)))<1e-16); + assert ((fabs( zimags(out) - (1))/fabs(zimags(out)))<1e-16); + in=DoubleComplex(-1.6,1.4); + out = zfloors(in); + assert ((fabs( zreals(out) - (-2))/fabs(zreals(out)))<1e-16); + assert ((fabs( zimags(out) - (1))/fabs(zimags(out)))<1e-16); + in=DoubleComplex(-1.5,1.5); + out = zfloors(in); + assert ((fabs( zreals(out) - (-2))/fabs(zreals(out)))<1e-16); + assert ((fabs( zimags(out) - (1))/fabs(zimags(out)))<1e-16); + in=DoubleComplex(-1.4,1.6); + out = zfloors(in); + assert ((fabs( zreals(out) - (-2))/fabs(zreals(out)))<1e-16); + assert ((fabs( zimags(out) - (1))/fabs(zimags(out)))<1e-16); + in=DoubleComplex(-1.3,1.7); + out = zfloors(in); + assert ((fabs( zreals(out) - (-2))/fabs(zreals(out)))<1e-16); + assert ((fabs( zimags(out) - (1))/fabs(zimags(out)))<1e-16); + in=DoubleComplex(-1.2,1.8); + out = zfloors(in); + assert ((fabs( zreals(out) - (-2))/fabs(zreals(out)))<1e-16); + assert ((fabs( zimags(out) - (1))/fabs(zimags(out)))<1e-16); + in=DoubleComplex(-1.1,1.9); + out = zfloors(in); + assert ((fabs( zreals(out) - (-2))/fabs(zreals(out)))<1e-16); + assert ((fabs( zimags(out) - (1))/fabs(zimags(out)))<1e-16); + in=DoubleComplex(-1.0,2.0); + out = zfloors(in); + assert ((fabs( zreals(out) - (-1))/fabs(zreals(out)))<1e-16); + assert ((fabs( zimags(out) - (2))/fabs(zimags(out)))<1e-16); + in=DoubleComplex(-.9,.9); + out = zfloors(in); + assert ((fabs( zreals(out) - (-1))/fabs(zreals(out)))<1e-16); + assert (fabs( zimags(out))<1e-16); + +} + +static void dflooraTest(void) { + int i; + double in[10]={1.2, 2.0,-2.0,-3.1,-4.5,6.1,4.1,4.9,-0.7, 0.5}; + double res[10]={1,2,-2,-4,-5,6,4,4,-1,0}; + double out[10]; + + dfloora(in,10,out); + + for (i=0;i<10;i++) + if (out[i]!=0) assert(fabs(out[i]-res[i])/fabs(out[i]) < 1e-16); + else assert(fabs(out[i]-res[i]) <1e-16); +} + +static void zflooraTest(void) { + int i; + double inR[10]={1.2, 2.0,-2.0,-3.1,-4.5,6.1,4.1,4.9,-0.7, 0.5}; + double inI[10]={5.4,1.8,1.4,-4.0,-2.7,-0.3,1.5,1.4,7.3,-4.6}; + double resR[10]={1,2,-2,-4,-5,6,4,4,-1,0}; + double resI[10]={5,1,1,-4,-3,-1,1,1,7,-5}; + doubleComplex out[10],*in; + + in=DoubleComplexMatrix(inR,inI,10); + zfloora(in,10,out); + + for (i=0;i<10;i++){ + if (zreals(out[i])!=0) assert( fabs(zreals(out[i])-resR[i])/fabs(zreals(out[i])) < 1e-16); + else assert(fabs(zreals(out[i])-resR[i]) <1e-16); + if (zimags(out[i])!=0) assert( fabs(zimags(out[i])-resI[i])/fabs(zimags(out[i])) < 1e-16); + else assert(fabs(zimags(out[i])-resI[i]) <1e-16); + } + +} + + +static int testFloor() { + printf("\n>>>> Double Floor Tests\n"); + dfloorsTest(); + zfloorsTest(); + dflooraTest(); + zflooraTest(); + + return 0; +} + +int main() { + assert(testFloor() == 0); + return 0; +} diff --git a/2.3-1/src/c/elementaryFunctions/floor/testFloatFloor.c b/2.3-1/src/c/elementaryFunctions/floor/testFloatFloor.c new file mode 100644 index 00000000..df49ee0d --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/floor/testFloatFloor.c @@ -0,0 +1,147 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008 - INRIA - Arnaud TORSET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include <assert.h> +#include <math.h> +#include <stdio.h> +#include "floor.h" + +static void sfloorsTest(void) { + assert ((fabs( sfloors(-2) - (-2))/fabs(sfloors(-2)))<1e-16); + assert ((fabs( sfloors(-1.9f) - (-2))/fabs(sfloors(-1.9f)))<1e-16); + assert ((fabs( sfloors(-1.8f) - (-2))/fabs(sfloors(-1.8f)))<1e-16); + assert ((fabs( sfloors(-1.7f) - (-2))/fabs(sfloors(-1.7f)))<1e-16); + assert ((fabs( sfloors(-1.6f) - (-2))/fabs(sfloors(-1.6f)))<1e-16); + assert ((fabs( sfloors(-1.5f) - (-2))/fabs(sfloors(-1.5f)))<1e-16); + assert ((fabs( sfloors(-1.4f) - (-2))/fabs(sfloors(-1.4f)))<1e-16); + assert ((fabs( sfloors(-1.3f) - (-2))/fabs(sfloors(-1.3f)))<1e-16); + assert ((fabs( sfloors(-1.2f) - (-2))/fabs(sfloors(-1.2f)))<1e-16); + assert ((fabs( sfloors(-1.1f) - (-2))/fabs(sfloors(-1.1f)))<1e-16); + assert ((fabs( sfloors(-1.0f) - (-1))/fabs(sfloors(-1.0f)))<1e-16); + assert ((fabs( sfloors(-0.9f) - (-1))/fabs(sfloors(-0.9f)))<1e-16); + assert ((fabs( sfloors(1.0f) - (1))/fabs(sfloors(1.0f)))<1e-16); + assert ((fabs( sfloors(1.1f) - (1))/fabs(sfloors(1.1f)))<1e-16); + assert ((fabs( sfloors(1.2f) - (1))/fabs(sfloors(1.2f)))<1e-16); + assert ((fabs( sfloors(1.3f) - (1))/fabs(sfloors(1.3f)))<1e-16); + assert ((fabs( sfloors(1.4f) - (1))/fabs(sfloors(1.4f)))<1e-16); + assert ((fabs( sfloors(1.5f) - (1))/fabs(sfloors(1.5f)))<1e-16); + assert ((fabs( sfloors(1.6f) - (1))/fabs(sfloors(1.6f)))<1e-16); + assert ((fabs( sfloors(1.7f) - (1))/fabs(sfloors(1.7f)))<1e-16); + assert ((fabs( sfloors(1.8f) - (1))/fabs(sfloors(1.8f)))<1e-16); + assert ((fabs( sfloors(1.9f) - (1))/fabs(sfloors(1.9f)))<1e-16); + assert ((fabs( sfloors(2.0f) - (2))/fabs(sfloors(2.0f)))<1e-16); +} + +static void cfloorsTest(void) { + floatComplex in, out; + + + /* tests allant de -2 + i a -1 + 2*i, les reels décroissants de 0.1, les imaginaires croissant de 0.1 + + 1 test supplementaire : -0.9 + 0.9*i*/ + + in=FloatComplex(-2,1); + out = cfloors(in); + assert ((fabs( creals(out) - (-2))/fabs(creals(out)))<1e-16); + assert ((fabs( cimags(out) - (1))/fabs(cimags(out)))<1e-16); + in=FloatComplex(-1.9f,1.1f); + out = cfloors(in); + assert ((fabs( creals(out) - (-2))/fabs(creals(out)))<1e-16); + assert ((fabs( cimags(out) - (1))/fabs(cimags(out)))<1e-16); + in=FloatComplex(-1.8f,1.2f); + out = cfloors(in); + assert ((fabs( creals(out) - (-2))/fabs(creals(out)))<1e-16); + assert ((fabs( cimags(out) - (1))/fabs(cimags(out)))<1e-16); + in=FloatComplex(-1.7f,1.3f); + out = cfloors(in); + assert ((fabs( creals(out) - (-2))/fabs(creals(out)))<1e-16); + assert ((fabs( cimags(out) - (1))/fabs(cimags(out)))<1e-16); + in=FloatComplex(-1.6f,1.4f); + out = cfloors(in); + assert ((fabs( creals(out) - (-2))/fabs(creals(out)))<1e-16); + assert ((fabs( cimags(out) - (1))/fabs(cimags(out)))<1e-16); + in=FloatComplex(-1.5f,1.5f); + out = cfloors(in); + assert ((fabs( creals(out) - (-2))/fabs(creals(out)))<1e-16); + assert ((fabs( cimags(out) - (1))/fabs(cimags(out)))<1e-16); + in=FloatComplex(-1.4f,1.6f); + out = cfloors(in); + assert ((fabs( creals(out) - (-2))/fabs(creals(out)))<1e-16); + assert ((fabs( cimags(out) - (1))/fabs(cimags(out)))<1e-16); + in=FloatComplex(-1.3f,1.7f); + out = cfloors(in); + assert ((fabs( creals(out) - (-2))/fabs(creals(out)))<1e-16); + assert ((fabs( cimags(out) - (1))/fabs(cimags(out)))<1e-16); + in=FloatComplex(-1.2f,1.8f); + out = cfloors(in); + assert ((fabs( creals(out) - (-2))/fabs(creals(out)))<1e-16); + assert ((fabs( cimags(out) - (1))/fabs(cimags(out)))<1e-16); + in=FloatComplex(-1.1f,1.9f); + out = cfloors(in); + assert ((fabs( creals(out) - (-2))/fabs(creals(out)))<1e-16); + assert ((fabs( cimags(out) - (1))/fabs(cimags(out)))<1e-16); + in=FloatComplex(-1.0f,2.0f); + out = cfloors(in); + assert ((fabs( creals(out) - (-1))/fabs(creals(out)))<1e-16); + assert ((fabs( cimags(out) - (2))/fabs(cimags(out)))<1e-16); + in=FloatComplex(-.9f,.9f); + out = cfloors(in); + assert ((fabs( creals(out) - (-1))/fabs(creals(out)))<1e-16); + assert (fabs( cimags(out))<1e-16); + +} + +static void sflooraTest(void) { + int i; + float in[10]={1.2f, 2.0f,-2.0f,-3.1f,-4.5f,6.1f,4.1f,4.9f,-0.7f, 0.5f}; + float res[10]={1,2,-2,-4,-5,6,4,4,-1,0}; + float out[10]; + + sfloora(in,10,out); + + for (i=0;i<10;i++) + if (out[i]!=0) assert(fabs(out[i]-res[i])/fabs(out[i]) <1e-16); + else assert(fabs(out[i]-res[i]) <1e-16); +} + +static void cflooraTest(void) { + int i; + float inR[10]={1.2f, 2.0f,-2.0f,-3.1f,-4.5f,6.1f,4.1f,4.9f,-0.7f, 0.5f}; + float inI[10]={5.4f,1.8f,1.4f,-4.0f,-2.7f,-0.3f,1.5f,1.4f,7.3f,-4.6f}; + float resR[10]={1,2,-2,-4,-5,6,4,4,-1,0}; + float resI[10]={5,1,1,-4,-3,-1,1,1,7,-5}; + floatComplex out[10],*in; + + in=FloatComplexMatrix(inR,inI,10); + cfloora(in,10,out); + + for (i=0;i<10;i++){ + if (creals(out[i])!=0) assert(fabs(creals(out[i])-resR[i])/fabs(creals(out[i])) <1e-16); + else assert(fabs(creals(out[i])-resR[i]) <1e-16); + if (cimags(out[i])!=0) assert(fabs(cimags(out[i])-resI[i])/fabs(cimags(out[i])) <1e-16); + else assert(fabs(cimags(out[i])-resI[i]) <1e-16); + } +} + +static int testFloor() { + printf("\n>>>> Float Floor Tests\n"); + sfloorsTest(); + cfloorsTest(); + sflooraTest(); + cflooraTest(); + + return 0; +} + +int main() { + assert(testFloor() == 0); + return 0; +} diff --git a/2.3-1/src/c/elementaryFunctions/floor/zfloora.c b/2.3-1/src/c/elementaryFunctions/floor/zfloora.c new file mode 100644 index 00000000..a6386c39 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/floor/zfloora.c @@ -0,0 +1,19 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Arnaud Torset + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include <math.h> +#include "floor.h" + +void zfloora(doubleComplex* x, int size, doubleComplex* out) { + int i = 0; + for (i=0;i<size;i++) out[i] = zfloors(x[i]); +} diff --git a/2.3-1/src/c/elementaryFunctions/floor/zfloors.c b/2.3-1/src/c/elementaryFunctions/floor/zfloors.c new file mode 100644 index 00000000..783951fb --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/floor/zfloors.c @@ -0,0 +1,21 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Arnaud Torset + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include <math.h> +#include "floor.h" + +doubleComplex zfloors(doubleComplex x) { + double floorReal = floor(zreals(x)); + double floorImag = floor(zimags(x)); + + return DoubleComplex(floorReal, floorImag); +} diff --git a/2.3-1/src/c/elementaryFunctions/includes/acos.h b/2.3-1/src/c/elementaryFunctions/includes/acos.h new file mode 100644 index 00000000..6b68c025 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/includes/acos.h @@ -0,0 +1,89 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2007-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#ifndef __ACOS_H__ +#define __ACOS_H__ + +#include "dynlib_elementaryfunctions.h" +#include "floatComplex.h" +#include "doubleComplex.h" + +#ifdef __cplusplus +extern "C" { +#endif + + +/* +** Compute ArcCosine for different types . +*/ + +/* +** \brief Float ArcCosine function +** \param in : input array value. +*/ +EXTERN_ELEMFUNCT float sacoss(float in); + +/* +** \brief Double ArcCosine function +** \param in : input array value. +*/ +EXTERN_ELEMFUNCT double dacoss(double in); + +/* +** \brief Float Complex ArcCosine function +** \param in : input array value. +*/ +EXTERN_ELEMFUNCT floatComplex cacoss(floatComplex in); + +/* +** \brief Double Complex ArcCosine function +** \param in : input array value. +*/ +EXTERN_ELEMFUNCT doubleComplex zacoss(doubleComplex in); + +/* +** \brief Float Matrix ArcCosine function +** \param in : input array value. +** \param out : output array value. +** \param size : the size of in and out arrays. +*/ +EXTERN_ELEMFUNCT void sacosa(float* in, int size, float* out); + +/* +** \brief Double Matrix ArcCosine function +** \param in : input array value. +** \param out : output array value. +** \param size : the size of in and out arrays. +*/ +EXTERN_ELEMFUNCT void dacosa(double* in, int size, double* out); + +/* +** \brief Float Complex Matrix ArcCosine function +** \param in : input array value. +** \param out : output array value. +** \param size : the size of in and out arrays. +*/ +EXTERN_ELEMFUNCT void cacosa(floatComplex* in, int size, floatComplex* out); + +/* +** \brief Double Complex Matrix ArcCosine function +** \param in : input array value. +** \param out : output array value. +** \param size : the size of in and out arrays. +*/ +EXTERN_ELEMFUNCT void zacosa(doubleComplex* in, int size, doubleComplex* out); + +#ifdef __cplusplus +} /* extern "C" */ +#endif + +#endif /* !__ACOS_H__ */ diff --git a/2.3-1/src/c/elementaryFunctions/includes/acosh.h b/2.3-1/src/c/elementaryFunctions/includes/acosh.h new file mode 100644 index 00000000..ed7aa6aa --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/includes/acosh.h @@ -0,0 +1,91 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2007-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#ifndef __ACOSH_H__ +#define __ACOSH_H__ + +#include "dynlib_elementaryfunctions.h" +#include "floatComplex.h" +#include "doubleComplex.h" + + +#ifdef __cplusplus +extern "C" { +#endif + + +/* +** Compute Hyperbolic Hyperbolic ArcCosine for different types . +*/ + +/* +** \brief Float Hyperbolic ArcCosine function +** \param in : input array value. +*/ +EXTERN_ELEMFUNCT float sacoshs(float in); + +/* +** \brief Double Hyperbolic ArcCosine function +** \param in : input array value. +*/ +EXTERN_ELEMFUNCT double dacoshs(double in); + +/* +** \brief Float Complex Hyperbolic ArcCosine function +** \param in : input array value. +*/ +EXTERN_ELEMFUNCT floatComplex cacoshs(floatComplex in); + +/* +** \brief Double Complex Hyperbolic ArcCosine function +** \param in : input array value. +*/ +EXTERN_ELEMFUNCT doubleComplex zacoshs(doubleComplex in); + +/* +** \brief Float Matrix Hyperbolic ArcCosine function +** \param in : input array value. +** \param out : output array value. +** \param size : the size of in and out arrays. +*/ +EXTERN_ELEMFUNCT void sacosha(float* in, int size, float* out); + +/* +** \brief Double Matrix Hyperbolic ArcCosine function +** \param in : input array value. +** \param out : output array value. +** \param size : the size of in and out arrays. +*/ +EXTERN_ELEMFUNCT void dacosha(double* in, int size, double* out); + +/* +** \brief Float Complex Matrix Hyperbolic ArcCosine function +** \param in : input array value. +** \param out : output array value. +** \param size : the size of in and out arrays. +*/ +EXTERN_ELEMFUNCT void cacosha(floatComplex* in, int size, floatComplex* out); + +/* +** \brief Double Complex Matrix Hyperbolic ArcCosine function +** \param in : input array value. +** \param out : output array value. +** \param size : the size of in and out arrays. +*/ +EXTERN_ELEMFUNCT void zacosha(doubleComplex* in, int size, doubleComplex* out); + +#ifdef __cplusplus +} /* extern "C" */ +#endif + + +#endif /* !__ACOSH_H__ */ diff --git a/2.3-1/src/c/elementaryFunctions/includes/asin.h b/2.3-1/src/c/elementaryFunctions/includes/asin.h new file mode 100644 index 00000000..3a28df18 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/includes/asin.h @@ -0,0 +1,90 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2007-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#ifndef __ASIN_H__ +#define __ASIN_H__ + +#include "dynlib_elementaryfunctions.h" +#include "floatComplex.h" +#include "doubleComplex.h" + + +#ifdef __cplusplus +extern "C" { +#endif + +/* +** Compute ArcSine for different types . +*/ + +/* +** \brief Float ArcSine function +** \param in : input value. +*/ +EXTERN_ELEMFUNCT float sasins(float in); + +/* +** \brief Double ArcSine function +** \param in : input value. +*/ +EXTERN_ELEMFUNCT double dasins(double in); + +/* +** \brief Float Complex ArcSine function +** \param in : input value. +*/ +EXTERN_ELEMFUNCT floatComplex casins(floatComplex in); + +/* +** \brief Double Complex ArcSine function +** \param in : input value. +*/ +EXTERN_ELEMFUNCT doubleComplex zasins(doubleComplex in); + +/* +** \brief Float Matrix ArcSine function +** \param in : input array value. +** \param out : output array value. +** \param size : the size of in and out arrays. +*/ +EXTERN_ELEMFUNCT void sasina(float* in, int size, float* out); + +/* +** \brief Double Matrix ArcSine function +** \param in : input array value. +** \param out : output array value. +** \param size : the size of in and out arrays. +*/ +EXTERN_ELEMFUNCT void dasina(double* in, int size, double* out); + +/* +** \brief Float Complex Matrix ArcSine function +** \param in : input array value. +** \param out : output array value. +** \param size : the size of in and out arrays. +*/ +EXTERN_ELEMFUNCT void casina(floatComplex* in, int size, floatComplex* out); + +/* +** \brief Double Complex Matrix ArcSine function +** \param in : input array value. +** \param out : output array value. +** \param size : the size of in and out arrays. +*/ +EXTERN_ELEMFUNCT void zasina(doubleComplex* in, int size, doubleComplex* out); + +#ifdef __cplusplus +} /* extern "C" */ +#endif + + +#endif /* !__ASIN_H__ */ diff --git a/2.3-1/src/c/elementaryFunctions/includes/asinh.h b/2.3-1/src/c/elementaryFunctions/includes/asinh.h new file mode 100644 index 00000000..9df597a5 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/includes/asinh.h @@ -0,0 +1,90 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2007-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#ifndef __ASINH_H__ +#define __ASINH_H__ + +#include "dynlib_elementaryfunctions.h" +#include "floatComplex.h" +#include "doubleComplex.h" + + +#ifdef __cplusplus +extern "C" { +#endif + +/* +** Compute Hyperbolic ArcSine for different types . +*/ + +/* +** \brief Float Hyperbolic ArcSine function +** \param in : input value. +*/ +EXTERN_ELEMFUNCT float sasinhs(float in); + +/* +** \brief Double Hyperbolic ArcSine function +** \param in : input value. +*/ +EXTERN_ELEMFUNCT double dasinhs(double in); + +/* +** \brief Float Complex Hyperbolic ArcSine function +** \param in : input value. +*/ +EXTERN_ELEMFUNCT floatComplex casinhs(floatComplex in); + +/* +** \brief Double Complex Hyperbolic ArcSine function +** \param in : input value. +*/ +EXTERN_ELEMFUNCT doubleComplex zasinhs(doubleComplex in); + +/* +** \brief Float Matrix Hyperbolic ArcSine function +** \param in : input array value. +** \param out : output array value. +** \param size : the size of in and out arrays. +*/ +EXTERN_ELEMFUNCT void sasinha(float* in, int size, float* out); + +/* +** \brief Double Matrix Hyperbolic ArcSine function +** \param in : input array value. +** \param out : output array value. +** \param size : the size of in and out arrays. +*/ +EXTERN_ELEMFUNCT void dasinha(double* in, int size, double* out); + +/* +** \brief Float Complex Matrix Hyperbolic ArcSine function +** \param in : input array value. +** \param out : output array value. +** \param size : the size of in and out arrays. +*/ +EXTERN_ELEMFUNCT void casinha(floatComplex* in, int size, floatComplex* out); + +/* +** \brief Double Complex Matrix Hyperbolic ArcSine function +** \param in : input array value. +** \param out : output array value. +** \param size : the size of in and out arrays. +*/ +EXTERN_ELEMFUNCT void zasinha(doubleComplex* in, int size, doubleComplex* out); + +#ifdef __cplusplus +} /* extern "C" */ +#endif + + +#endif /* !__ASINH_H__ */ diff --git a/2.3-1/src/c/elementaryFunctions/includes/atan.h b/2.3-1/src/c/elementaryFunctions/includes/atan.h new file mode 100644 index 00000000..b6a4cf0a --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/includes/atan.h @@ -0,0 +1,90 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#ifndef __ATAN_H__ +#define __ATAN_H__ + +#include "dynlib_elementaryfunctions.h" +#include "floatComplex.h" +#include "doubleComplex.h" + + +#ifdef __cplusplus +extern "C" { +#endif + +/* +** Compute ArcTangeant for different types . +*/ + +/* +** \brief Float ArcTangeant function +** \param in : input value. +*/ +EXTERN_ELEMFUNCT float satans(float in); + +/* +** \brief Double ArcTangeant function +** \param in : input value. +*/ +EXTERN_ELEMFUNCT double datans(double in); + +/* +** \brief Float Complex ArcTangeant function +** \param in : input value. +*/ +EXTERN_ELEMFUNCT floatComplex catans(floatComplex in); + +/* +** \brief Double Complex ArcTangeant function +** \param in : input value. +*/ +EXTERN_ELEMFUNCT doubleComplex zatans(doubleComplex in); + +/* +** \brief Float Matrix ArcTangeant function +** \param in : input array value. +** \param out : input array value. +** \param size : the size of in and out arrays. +*/ +EXTERN_ELEMFUNCT void satana(float* in, int size, float* out); + +/* +** \brief Double Matrix ArcTangeant function +** \param in : input array value. +** \param out : input array value. +** \param size : the size of in and out arrays. +*/ +EXTERN_ELEMFUNCT void datana(double* in, int size, double* out); + +/* +** \brief Float Complex Matrix ArcTangeant function +** \param in : input array value. +** \param out : input array value. +** \param size : the size of in and out arrays. +*/ +EXTERN_ELEMFUNCT void catana(floatComplex* in, int size, floatComplex* out); + +/* +** \brief Double Complex Matrix ArcTangeant function +** \param in : input array value. +** \param out : input array value. +** \param size : the size of in and out arrays. +*/ +EXTERN_ELEMFUNCT void zatana(doubleComplex* in, int size, doubleComplex* out); + +#ifdef __cplusplus +} /* extern "C" */ +#endif + + +#endif /* !__ATAN_H__ */ diff --git a/2.3-1/src/c/elementaryFunctions/includes/atan2.h b/2.3-1/src/c/elementaryFunctions/includes/atan2.h new file mode 100644 index 00000000..83aeebe2 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/includes/atan2.h @@ -0,0 +1,57 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Allan SIMON + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#ifndef __ATAN2_H__ +#define __ATAN2_H__ + +#include "dynlib_elementaryfunctions.h" +#include "floatComplex.h" +#include "doubleComplex.h" +#include <math.h> + +#ifdef __cplusplus +extern "C" { +#endif + +/* +** Compute arctan with two parameters . +*/ + + +/* +** \brief Float arc tangent function +*/ +EXTERN_ELEMFUNCT float satan2s ( float x , float y ); + +/* +** \brief Double arc tangent function +*/ +EXTERN_ELEMFUNCT double datan2s ( double x , double y); + + +/* +** \brief array's Float arc tangent function +*/ +EXTERN_ELEMFUNCT void satan2a (float* in1, int size1, float* in2, int size2, float* out) ; + +/* +** \brief array's Double arc tangent function +*/ +EXTERN_ELEMFUNCT void datan2a (double* in1, int size1, double* in2, int size2, double* out) ; + +#ifdef __cplusplus +} /* extern "C" */ +#endif + + + +#endif /* !__EXP10_H__ */ diff --git a/2.3-1/src/c/elementaryFunctions/includes/atanh.h b/2.3-1/src/c/elementaryFunctions/includes/atanh.h new file mode 100644 index 00000000..32fe1789 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/includes/atanh.h @@ -0,0 +1,91 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#ifndef __ATANH_H__ +#define __ATANH_H__ + +#include "dynlib_elementaryfunctions.h" +#include "floatComplex.h" +#include "doubleComplex.h" + + +#ifdef __cplusplus +extern "C" { +#endif + +/* +** Compute Hyperbolic ArcTangeant for different types . +*/ + +/* +** \brief Float Hyperbolic ArcTangeant function +** \param in : input value. +*/ +EXTERN_ELEMFUNCT float satanhs(float in); + +/* +** \brief Double Hyperbolic ArcTangeant function +** \param in : input value. +*/ +EXTERN_ELEMFUNCT double datanhs(double in); + +/* +** \brief Float Complex Hyperbolic ArcTangeant function +** \param in : input value. +*/ +EXTERN_ELEMFUNCT floatComplex catanhs(floatComplex in); + +/* +** \brief Double Complex Hyperbolic ArcTangeant function +** \param in : input value. +*/ +EXTERN_ELEMFUNCT doubleComplex zatanhs(doubleComplex in); + +/* +** \brief Float Matrix Hyperbolic ArcTangeant function +** \param in : input array value. +** \param out : input array value. +** \param size : the size of in and out arrays. +*/ +EXTERN_ELEMFUNCT void satanha(float* in, int size, float* out); + +/* +** \brief Double Matrix Hyperbolic ArcTangeant function +** \param in : input array value. +** \param out : input array value. +** \param size : the size of in and out arrays. +*/ +EXTERN_ELEMFUNCT void datanha(double* in, int size, double* out); + +/* +** \brief Float Complex Matrix Hyperbolic ArcTangeant function +** \param in : input array value. +** \param out : input array value. +** \param size : the size of in and out arrays. +*/ +EXTERN_ELEMFUNCT void catanha(floatComplex* in, int size, floatComplex* out); + +/* +** \brief Double Complex Matrix Hyperbolic ArcTangeant function +** \param in : input array value. +** \param out : input array value. +** \param size : the size of in and out arrays. +*/ +EXTERN_ELEMFUNCT void zatanha(doubleComplex* in, int size, doubleComplex* out); + +#ifdef __cplusplus +} /* extern "C" */ +#endif + + +#endif /* !__ATANH_H__ */ + diff --git a/2.3-1/src/c/elementaryFunctions/includes/ceil.h b/2.3-1/src/c/elementaryFunctions/includes/ceil.h new file mode 100644 index 00000000..960b8b3b --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/includes/ceil.h @@ -0,0 +1,50 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Arnaud Torset + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#ifndef __CEIL_H__ +#define __CEIL_H__ + +#include "dynlib_elementaryfunctions.h" +#include "floatComplex.h" +#include "doubleComplex.h" + + +#ifdef __cplusplus +extern "C" { +#endif +/* + ceil(x) returns an integer matrix made of rounded up elements +*/ + +EXTERN_ELEMFUNCT float sceils(float in); + +EXTERN_ELEMFUNCT double dceils(double in); + +EXTERN_ELEMFUNCT floatComplex cceils(floatComplex in); + +EXTERN_ELEMFUNCT doubleComplex zceils(doubleComplex in); + +EXTERN_ELEMFUNCT void sceila(float* in, int size, float* out); + +EXTERN_ELEMFUNCT void dceila(double* in, int size, double* out); + +EXTERN_ELEMFUNCT void cceila(floatComplex* in, int size, floatComplex* out); + +EXTERN_ELEMFUNCT void zceila(doubleComplex* in, int size, doubleComplex* out); + +#ifdef __cplusplus +} /* extern "C" */ +#endif + + +#endif /* !__CEIL_H__ */ + diff --git a/2.3-1/src/c/elementaryFunctions/includes/cos.h b/2.3-1/src/c/elementaryFunctions/includes/cos.h new file mode 100644 index 00000000..5d573b1e --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/includes/cos.h @@ -0,0 +1,88 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#ifndef __COS_H__ +#define __COS_H__ + +#include "dynlib_elementaryfunctions.h" +#include "floatComplex.h" +#include "doubleComplex.h" + +#ifdef __cplusplus +extern "C" { +#endif +/* +** Compute Cosine for different types . +*/ + +/* +** \brief Float Cosine function +** \param in : input value. +*/ +EXTERN_ELEMFUNCT float scoss(float in); + +/* +** \brief Double Cosine function +** \param in : input value. +*/ +EXTERN_ELEMFUNCT double dcoss(double in); + +/* +** \brief Float Complex Cosine function +** \param in : input value. +*/ +EXTERN_ELEMFUNCT floatComplex ccoss(floatComplex in); + +/* +** \brief Double Complex Cosine function +** \param in : input value. +*/ +EXTERN_ELEMFUNCT doubleComplex zcoss(doubleComplex in); + +/* +** \brief Float Matrix Cosine function +** \param in : input array value. +** \param out : output array value. +** \param size : the size of in and out arrays. +*/ +EXTERN_ELEMFUNCT void scosa(float* in, int size, float* out); + +/* +** \brief Double Matrix Cosine function +** \param in : input array value. +** \param out : output array value. +** \param size : the size of in and out arrays. +*/ +EXTERN_ELEMFUNCT void dcosa(double* in, int size, double* out); + +/* +** \brief Float Complex Matrix Cosine function +** \param in : input array value. +** \param out : output array value. +** \param size : the size of in and out arrays. +*/ +EXTERN_ELEMFUNCT void ccosa(floatComplex* in, int size, floatComplex* out); + +/* +** \brief Double Complex Matrix Cosine function +** \param in : input array value. +** \param out : output array value. +** \param size : the size of in and out arrays. +*/ +EXTERN_ELEMFUNCT void zcosa(doubleComplex* in, int size, doubleComplex* out); + +#ifdef __cplusplus +} /* extern "C" */ +#endif + + +#endif /* !__COS_H__ */ diff --git a/2.3-1/src/c/elementaryFunctions/includes/cosh.h b/2.3-1/src/c/elementaryFunctions/includes/cosh.h new file mode 100644 index 00000000..0cbf8eb4 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/includes/cosh.h @@ -0,0 +1,90 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#ifndef __COSH_H__ +#define __COSH_H__ + +#include "dynlib_elementaryfunctions.h" +#include "floatComplex.h" +#include "doubleComplex.h" + + +#ifdef __cplusplus +extern "C" { +#endif +/* +** Compute Cosine for different types . +*/ + +/* +** \brief Float Cosine function +** \param in : input value. +*/ +EXTERN_ELEMFUNCT float scoshs(float in); + +/* +** \brief Double Cosine function +** \param in : input value. +*/ +EXTERN_ELEMFUNCT double dcoshs(double in); + +/* +** \brief Float Complex Cosine function +** \param in : input value. +*/ +EXTERN_ELEMFUNCT floatComplex ccoshs(floatComplex in); + +/* +** \brief Double Complex Cosine function +** \param in : input value. +*/ +EXTERN_ELEMFUNCT doubleComplex zcoshs(doubleComplex in); + +/* +** \brief Float Matrix Cosine function +** \param in : input array value. +** \param out : output array value. +** \param size : the size of in and out arrays. +*/ +EXTERN_ELEMFUNCT void scosha(float* in, int size, float* out); + +/* +** \brief Double Matrix Cosine function +** \param in : input array value. +** \param out : output array value. +** \param size : the size of in and out arrays. +*/ +EXTERN_ELEMFUNCT void dcosha(double* in, int size, double* out); + +/* +** \brief Float Complex Matrix Cosine function +** \param in : input array value. +** \param out : output array value. +** \param size : the size of in and out arrays. +*/ +EXTERN_ELEMFUNCT void ccosha(floatComplex* in, int size, floatComplex* out); + +/* +** \brief Double Complex Matrix Cosine function +** \param in : input array value. +** \param out : output array value. +** \param size : the size of in and out arrays. +*/ +EXTERN_ELEMFUNCT void zcosha(doubleComplex* in, int size, doubleComplex* out); + +#ifdef __cplusplus +} /* extern "C" */ +#endif + + +#endif /* !__COSH_H__ */ + diff --git a/2.3-1/src/c/elementaryFunctions/includes/dynlib_elementaryfunctions.h b/2.3-1/src/c/elementaryFunctions/includes/dynlib_elementaryfunctions.h new file mode 100644 index 00000000..5037696f --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/includes/dynlib_elementaryfunctions.h @@ -0,0 +1,26 @@ +/*
+* Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
+* Copyright (C) 2009 - DIGITEO - Allan CORNET
+*
+* This file must be used under the terms of the CeCILL.
+* This source file is licensed as described in the file COPYING, which
+* you should have received as part of this distribution. The terms
+* are also available at
+* http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt
+*
+*/
+
+#ifndef __DYNLIB_ELEMENTARYFUNCTIONS_H__
+#define __DYNLIB_ELEMENTARYFUNCTIONS_H__
+
+#if defined(_MSC_VER) && defined(_USRDLL)
+ #if ELEMENTARYFUNCTIONS_EXPORTS
+ #define EXTERN_ELEMFUNCT __declspec (dllexport)
+ #else
+ #define EXTERN_ELEMFUNCT __declspec (dllimport)
+ #endif
+#else
+ #define EXTERN_ELEMFUNCT
+#endif
+
+#endif /* __DYNLIB_ELEMENTARYFUNCTIONS_H__ */
diff --git a/2.3-1/src/c/elementaryFunctions/includes/exp.h b/2.3-1/src/c/elementaryFunctions/includes/exp.h new file mode 100644 index 00000000..297a5769 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/includes/exp.h @@ -0,0 +1,90 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#ifndef __EXP_H__ +#define __EXP_H__ + +#include "dynlib_elementaryfunctions.h" +#include "floatComplex.h" +#include "doubleComplex.h" + + +#ifdef __cplusplus +extern "C" { +#endif +/* +** Compute Exponential for different types . +*/ + +/* +** \brief Float Exponential function +** \param in : input value. +*/ +EXTERN_ELEMFUNCT float sexps(float in); + +/* +** \brief Double Exponential function +** \param in : input value. +*/ +EXTERN_ELEMFUNCT double dexps(double in); + +/* +** \brief Float Complex Exponential function +** \param in : input value. +*/ +EXTERN_ELEMFUNCT floatComplex cexps(floatComplex in); + +/* +** \brief Double Complex Exponential function +** \param in : input value. +*/ +EXTERN_ELEMFUNCT doubleComplex zexps(doubleComplex in); + +/* +** \brief Float Matrix Exponential function +** \param in : input array value. +** \param out : output array value. +** \param size : the size of in and out arrays. +*/ +EXTERN_ELEMFUNCT void sexpa(float* in, int size, float* out); + +/* +** \brief Double Matrix Exponential function +** \param in : input array value. +** \param out : output array value. +** \param size : the size of in and out arrays. +*/ +EXTERN_ELEMFUNCT void dexpa(double* in, int size, double* out); + +/* +** \brief Float Complex Matrix Exponential function +** \param in : input array value. +** \param out : output array value. +** \param size : the size of in and out arrays. +*/ +EXTERN_ELEMFUNCT void cexpa(floatComplex* in, int size, floatComplex* out); + +/* +** \brief Double Complex Matrix Exponential function +** \param in : input array value. +** \param out : output array value. +** \param size : the size of in and out arrays. +*/ +EXTERN_ELEMFUNCT void zexpa(doubleComplex* in, int size, doubleComplex* out); + +#ifdef __cplusplus +} /* extern "C" */ +#endif + + +#endif /* !__EXP_H__ */ + diff --git a/2.3-1/src/c/elementaryFunctions/includes/exp10.h b/2.3-1/src/c/elementaryFunctions/includes/exp10.h new file mode 100644 index 00000000..56a1d999 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/includes/exp10.h @@ -0,0 +1,90 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#ifndef __EXP10_H__ +#define __EXP10_H__ + +#include "dynlib_elementaryfunctions.h" +#include "floatComplex.h" +#include "doubleComplex.h" + + +#ifdef __cplusplus +extern "C" { +#endif +/* +** Compute 10 based Exponential for different types . +*/ + +/* +** \brief Float 10 based Exponential function +** \param in : input value. +*/ +EXTERN_ELEMFUNCT float sexp10s(float in); + +/* +** \brief Double Exp10onential function +** \param in : input value. +*/ +EXTERN_ELEMFUNCT double dexp10s(double in); + +/* +** \brief Float Complex 10 based Exponential function +** \param in : input value. +*/ +EXTERN_ELEMFUNCT floatComplex cexp10s(floatComplex in); + +/* +** \brief Double Complex 10 based Exponential function +** \param in : input value. +*/ +EXTERN_ELEMFUNCT doubleComplex zexp10s(doubleComplex in); + +/* +** \brief Float Matrix 10 based Exponential function +** \param in : input array value. +** \param out : output array value. +** \param size : the size of in and out arrays. +*/ +EXTERN_ELEMFUNCT void sexp10a(float* in, int size, float* out); + +/* +** \brief Double Matrix 10 based Exponential function +** \param in : input array value. +** \param out : output array value. +** \param size : the size of in and out arrays. +*/ +EXTERN_ELEMFUNCT void dexp10a(double* in, int size, double* out); + +/* +** \brief Float Complex Matrix 10 based Exponential function +** \param in : input array value. +** \param out : output array value. +** \param size : the size of in and out arrays. +*/ +EXTERN_ELEMFUNCT void cexp10a(floatComplex* in, int size, floatComplex* out); + +/* +** \brief Double Complex Matrix 10 based Exponential function +** \param in : input array value. +** \param out : output array value. +** \param size : the size of in and out arrays. +*/ +EXTERN_ELEMFUNCT void zexp10a(doubleComplex* in, int size, doubleComplex* out); + +#ifdef __cplusplus +} /* extern "C" */ +#endif + + +#endif /* !__EXP10_H__ */ + diff --git a/2.3-1/src/c/elementaryFunctions/includes/fix.h b/2.3-1/src/c/elementaryFunctions/includes/fix.h new file mode 100644 index 00000000..504a63c1 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/includes/fix.h @@ -0,0 +1,52 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Arnaud Torset + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#ifndef __FIX_H__ +#define __FIX_H__ + +#include "dynlib_elementaryfunctions.h" +#include "floatComplex.h" +#include "doubleComplex.h" + +#ifdef __cplusplus +extern "C" { +#endif +/* + fix(x) returns an integer matrix made of nearest rounded integers toward zero,i.e, y=sign(x).*floor(abs(x)). Same as int. + In these functions, I take the formula : + if x>=0 y=floor(x) + else y=ceil(x) +*/ + +EXTERN_ELEMFUNCT float sfixs(float in); + +EXTERN_ELEMFUNCT double dfixs(double in); + +EXTERN_ELEMFUNCT floatComplex cfixs(floatComplex in); + +EXTERN_ELEMFUNCT doubleComplex zfixs(doubleComplex in); + +EXTERN_ELEMFUNCT void sfixa(float* in, int size, float* out); + +EXTERN_ELEMFUNCT void dfixa(double* in, int size, double* out); + +EXTERN_ELEMFUNCT void cfixa(floatComplex* in, int size, floatComplex* out); + +EXTERN_ELEMFUNCT void zfixa(doubleComplex* in, int size, doubleComplex* out); + +#ifdef __cplusplus +} /* extern "C" */ +#endif + + +#endif /* !__FIX_H__ */ + diff --git a/2.3-1/src/c/elementaryFunctions/includes/floor.h b/2.3-1/src/c/elementaryFunctions/includes/floor.h new file mode 100644 index 00000000..971cdf65 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/includes/floor.h @@ -0,0 +1,49 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Arnaud Torset + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#ifndef __FLOOR_H__ +#define __FLOOR_H__ + +#include "dynlib_elementaryfunctions.h" +#include "floatComplex.h" +#include "doubleComplex.h" + +#ifdef __cplusplus +extern "C" { +#endif +/* + floor(x) returns an integer matrix made of nearest rounded down integers. +*/ + +EXTERN_ELEMFUNCT float sfloors(float in); + +EXTERN_ELEMFUNCT double dfloors(double in); + +EXTERN_ELEMFUNCT floatComplex cfloors(floatComplex in); + +EXTERN_ELEMFUNCT doubleComplex zfloors(doubleComplex in); + +EXTERN_ELEMFUNCT void sfloora(float* in, int size, float* out); + +EXTERN_ELEMFUNCT void dfloora(double* in, int size, double* out); + +EXTERN_ELEMFUNCT void cfloora(floatComplex* in, int size, floatComplex* out); + +EXTERN_ELEMFUNCT void zfloora(doubleComplex* in, int size, doubleComplex* out); + +#ifdef __cplusplus +} /* extern "C" */ +#endif + + +#endif /* !__FLOOR_H__ */ + diff --git a/2.3-1/src/c/elementaryFunctions/includes/int.h b/2.3-1/src/c/elementaryFunctions/includes/int.h new file mode 100644 index 00000000..53985887 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/includes/int.h @@ -0,0 +1,49 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Arnaud Torset + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#ifndef __INT_H__ +#define __INT_H__ + +#include "dynlib_elementaryfunctions.h" +#include "floatComplex.h" +#include "doubleComplex.h" + +#ifdef __cplusplus +extern "C" { +#endif +/* + int(X) returns the integer part of the real matrix X. Same as fix. +*/ + +EXTERN_ELEMFUNCT float sints(float in); + +EXTERN_ELEMFUNCT double dints(double in); + +EXTERN_ELEMFUNCT floatComplex cints(floatComplex in); + +EXTERN_ELEMFUNCT doubleComplex zints(doubleComplex in); + +EXTERN_ELEMFUNCT void sinta(float* in, int size, float* out); + +EXTERN_ELEMFUNCT void dinta(double* in, int size, double* out); + +EXTERN_ELEMFUNCT void cinta(floatComplex* in, int size, floatComplex* out); + +EXTERN_ELEMFUNCT void zinta(doubleComplex* in, int size, doubleComplex* out); + +#ifdef __cplusplus +} /* extern "C" */ +#endif + + +#endif /* !__INT_H__ */ + diff --git a/2.3-1/src/c/elementaryFunctions/includes/lnp1m1.h b/2.3-1/src/c/elementaryFunctions/includes/lnp1m1.h new file mode 100644 index 00000000..e5f37515 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/includes/lnp1m1.h @@ -0,0 +1,46 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2007-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#ifndef __LNP1M1_H__ +#define __LNP1M1_H__ + +#include "dynlib_elementaryfunctions.h" +#include "floatComplex.h" +#include "doubleComplex.h" + +#ifdef __cplusplus +extern "C" { +#endif +/* +** Compute v = log ( (1 + s)/(1 - s) ) for different types . +*/ + +/* +** \brief Float Lnp1m1 function +** \param in : input value. +*/ +EXTERN_ELEMFUNCT float slnp1m1s(float in); + +/* +** \brief Double Lnp1m1 function +** \param in : input value. +*/ +EXTERN_ELEMFUNCT double dlnp1m1s(double in); + + +#ifdef __cplusplus +} /* extern "C" */ +#endif + + +#endif /* !__LNP1M1_H__ */ + diff --git a/2.3-1/src/c/elementaryFunctions/includes/log.h b/2.3-1/src/c/elementaryFunctions/includes/log.h new file mode 100644 index 00000000..9fb5e75b --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/includes/log.h @@ -0,0 +1,89 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2007-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#ifndef __LOG_H__ +#define __LOG_H__ + +#include "dynlib_elementaryfunctions.h" +#include "floatComplex.h" +#include "doubleComplex.h" + +#ifdef __cplusplus +extern "C" { +#endif +/* +** Compute Logarithm for different types . +*/ + +/* +** \brief Float Logarithm function +** \param in : input value. +*/ +EXTERN_ELEMFUNCT float slogs(float in); + +/* +** \brief Double Logarithm function +** \param in : input value. +*/ +EXTERN_ELEMFUNCT double dlogs(double in); + +/* +** \brief Float Complex Logarithm function +** \param in : input value. +*/ +EXTERN_ELEMFUNCT floatComplex clogs(floatComplex in); + +/* +** \brief Double Complex Logarithm function +** \param in : input value. +*/ +EXTERN_ELEMFUNCT doubleComplex zlogs(doubleComplex in); + +/* +** \brief Float Matrix Logarithm function +** \param in : input array value. +** \param out : output array value. +** \param size : the size of in and out arrays. +*/ +EXTERN_ELEMFUNCT void sloga(float* in, int size, float* out); + +/* +** \brief Double Matrix Logarithm function +** \param in : input array value. +** \param out : output array value. +** \param size : the size of in and out arrays. +*/ +EXTERN_ELEMFUNCT void dloga(double* in, int size, double* out); + +/* +** \brief Float Complex Matrix Logarithm function +** \param in : input array value. +** \param out : output array value. +** \param size : the size of in and out arrays. +*/ +EXTERN_ELEMFUNCT void cloga(floatComplex* in, int size, floatComplex* out); + +/* +** \brief Double Complex Matrix Logarithm function +** \param in : input array value. +** \param out : output array value. +** \param size : the size of in and out arrays. +*/ +EXTERN_ELEMFUNCT void zloga(doubleComplex* in, int size, doubleComplex* out); + +#ifdef __cplusplus +} /* extern "C" */ +#endif + + +#endif /* !__LOG_H__ */ + diff --git a/2.3-1/src/c/elementaryFunctions/includes/log10.h b/2.3-1/src/c/elementaryFunctions/includes/log10.h new file mode 100644 index 00000000..a595424e --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/includes/log10.h @@ -0,0 +1,89 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2007-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#ifndef __LOG10_H__ +#define __LOG10_H__ + +#include "dynlib_elementaryfunctions.h" +#include "floatComplex.h" +#include "doubleComplex.h" + +#ifdef __cplusplus +extern "C" { +#endif +/* +** Compute Ten based Logarithm for different types . +*/ + +/* +** \brief Float Ten based Logarithm function +** \param in : input value. +*/ +EXTERN_ELEMFUNCT float slog10s(float in); + +/* +** \brief Double Ten based Logarithm function +** \param in : input value. +*/ +EXTERN_ELEMFUNCT double dlog10s(double in); + +/* +** \brief Float Complex Ten based Logarithm function +** \param in : input value. +*/ +EXTERN_ELEMFUNCT floatComplex clog10s(floatComplex in); + +/* +** \brief Double Complex Ten based Logarithm function +** \param in : input value. +*/ +EXTERN_ELEMFUNCT doubleComplex zlog10s(doubleComplex in); + +/* +** \brief Float Matrix Ten based Logarithm function +** \param in : input array value. +** \param out : output array value. +** \param size : the size of in and out arrays. +*/ +EXTERN_ELEMFUNCT void slog10a(float* in, int size, float* out); + +/* +** \brief Double Matrix Ten based Logarithm function +** \param in : input array value. +** \param out : output array value. +** \param size : the size of in and out arrays. +*/ +EXTERN_ELEMFUNCT void dlog10a(double* in, int size, double* out); + +/* +** \brief Float Complex Matrix Ten based Logarithm function +** \param in : input array value. +** \param out : output array value. +** \param size : the size of in and out arrays. +*/ +EXTERN_ELEMFUNCT void clog10a(floatComplex* in, int size, floatComplex* out); + +/* +** \brief Double Complex Matrix Ten based Logarithm function +** \param in : input array value. +** \param out : output array value. +** \param size : the size of in and out arrays. +*/ +EXTERN_ELEMFUNCT void zlog10a(doubleComplex* in, int size, doubleComplex* out); + +#ifdef __cplusplus +} /* extern "C" */ +#endif + + +#endif /* !__LOG10_H__ */ + diff --git a/2.3-1/src/c/elementaryFunctions/includes/log1p.h b/2.3-1/src/c/elementaryFunctions/includes/log1p.h new file mode 100644 index 00000000..58b93d07 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/includes/log1p.h @@ -0,0 +1,88 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#ifndef __LOG1P_H__ +#define __LOG1P_H__ + +#include "dynlib_elementaryfunctions.h" +#include "floatComplex.h" +#include "doubleComplex.h" + +#ifdef __cplusplus +extern "C" { +#endif +/* +** Compute Logarithm for different types . +*/ + +/* +** \brief Float Logarithm function +** \param in : input value. +*/ +EXTERN_ELEMFUNCT float slog1ps(float in); + +/* +** \brief Double Logarithm function +** \param in : input value. +*/ +EXTERN_ELEMFUNCT double dlog1ps(double in); + +/* +** \brief Float Complex Logarithm function +** \param in : input value. +*/ +EXTERN_ELEMFUNCT floatComplex clog1ps(floatComplex in); + +/* +** \brief Double Complex Logarithm function +** \param in : input value. +*/ +EXTERN_ELEMFUNCT doubleComplex zlog1ps(doubleComplex in); + +/* +** \brief Float Matrix Logarithm function +** \param in : input array value. +** \param out : output array value. +** \param size : the size of in and out arrays. +*/ +EXTERN_ELEMFUNCT void slog1pa(float* in, int size, float* out); + +/* +** \brief Double Matrix Logarithm function +** \param in : input array value. +** \param out : output array value. +** \param size : the size of in and out arrays. +*/ +EXTERN_ELEMFUNCT void dlog1pa(double* in, int size, double* out); + +/* +** \brief Float Complex Matrix Logarithm function +** \param in : input array value. +** \param out : output array value. +** \param size : the size of in and out arrays. +*/ +EXTERN_ELEMFUNCT void clog1pa(floatComplex* in, int size, floatComplex* out); + +/* +** \brief Double Complex Matrix Logarithm function +** \param in : input array value. +** \param out : output array value. +** \param size : the size of in and out arrays. +*/ +EXTERN_ELEMFUNCT void zlog1pa(doubleComplex* in, int size, doubleComplex* out); + +#ifdef __cplusplus +} /* extern "C" */ +#endif + +#endif /* !__LOG1P_H__ */ + diff --git a/2.3-1/src/c/elementaryFunctions/includes/pow.h b/2.3-1/src/c/elementaryFunctions/includes/pow.h new file mode 100644 index 00000000..ec8216d8 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/includes/pow.h @@ -0,0 +1,43 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#ifndef __POW_H__ +#define __POW_H__ + +#include "dynlib_elementaryfunctions.h" +#include "multiplication.h" + +#ifdef __cplusplus +extern "C" { +#endif +EXTERN_ELEMFUNCT float spows(float value, float expand); + +EXTERN_ELEMFUNCT double dpows(double value, double expand); + +EXTERN_ELEMFUNCT floatComplex cpows(floatComplex value, floatComplex expand); + +EXTERN_ELEMFUNCT doubleComplex zpows(doubleComplex value, doubleComplex expand); + +EXTERN_ELEMFUNCT void spowa(float *value, int size, float* expand, float *out); + +EXTERN_ELEMFUNCT void dpowa(double *value, int size, double* expand, double *out); + +EXTERN_ELEMFUNCT void cpowa(floatComplex *value, int size, floatComplex* expand, floatComplex *out); + +EXTERN_ELEMFUNCT void zpowa(doubleComplex *value, int size, doubleComplex* expand, doubleComplex *out); + +#ifdef __cplusplus +} /* extern "C" */ +#endif + + +#endif /* !__POW_H__ */ diff --git a/2.3-1/src/c/elementaryFunctions/includes/round.h b/2.3-1/src/c/elementaryFunctions/includes/round.h new file mode 100644 index 00000000..1c3c0cea --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/includes/round.h @@ -0,0 +1,48 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Arnaud Torset + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#ifndef __ROUND_H__ +#define __ROUND_H__ + +#include "dynlib_elementaryfunctions.h" +#include "floatComplex.h" +#include "doubleComplex.h" + +#ifdef __cplusplus +extern "C" { +#endif +/* + round(x) rounds the elements of x to the nearest integers. +*/ + +EXTERN_ELEMFUNCT float srounds(float in); + +EXTERN_ELEMFUNCT double drounds(double in); + +EXTERN_ELEMFUNCT floatComplex crounds(floatComplex in); + +EXTERN_ELEMFUNCT doubleComplex zrounds(doubleComplex in); + +EXTERN_ELEMFUNCT void srounda(float* in, int size, float* out); + +EXTERN_ELEMFUNCT void drounda(double* in, int size, double* out); + +EXTERN_ELEMFUNCT void crounda(floatComplex* in, int size, floatComplex* out); + +EXTERN_ELEMFUNCT void zrounda(doubleComplex* in, int size, doubleComplex* out); + +#ifdef __cplusplus +} /* extern "C" */ +#endif + +#endif /* !__ROUND_H__ */ + diff --git a/2.3-1/src/c/elementaryFunctions/includes/sin.h b/2.3-1/src/c/elementaryFunctions/includes/sin.h new file mode 100644 index 00000000..198b0665 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/includes/sin.h @@ -0,0 +1,89 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#ifndef __SIN_H__ +#define __SIN_H__ + +#include "dynlib_elementaryfunctions.h" +#include "floatComplex.h" +#include "doubleComplex.h" + +#ifdef __cplusplus +extern "C" { +#endif +/* +** Compute Sine for different types . +*/ + +/* +** \brief Float Sine function +** \param in : input value. +*/ +EXTERN_ELEMFUNCT float ssins(float in); + +/* +** \brief Double Sine function +** \param in : input value. +*/ +EXTERN_ELEMFUNCT double dsins(double in); + +/* +** \brief Float Complex Sine function +** \param in : input value. +*/ +EXTERN_ELEMFUNCT floatComplex csins(floatComplex in); + +/* +** \brief Double Complex Sine function +** \param in : input value. +*/ +EXTERN_ELEMFUNCT doubleComplex zsins(doubleComplex in); + +/* +** \brief Float Matrix Sine function +** \param in : input array value. +** \param out : output array value. +** \param size : the size of in and out arrays. +*/ +EXTERN_ELEMFUNCT void ssina(float* in, int size, float* out); + +/* +** \brief Double Matrix Sine function +** \param in : input array value. +** \param out : output array value. +** \param size : the size of in and out arrays. +*/ +EXTERN_ELEMFUNCT void dsina(double* in, int size, double* out); + +/* +** \brief Float Complex Matrix Sine function +** \param in : input array value. +** \param out : output array value. +** \param size : the size of in and out arrays. +*/ +EXTERN_ELEMFUNCT void csina(floatComplex* in, int size, floatComplex* out); + +/* +** \brief Double Complex Matrix Sine function +** \param in : input array value. +** \param out : output array value. +** \param size : the size of in and out arrays. +*/ +EXTERN_ELEMFUNCT void zsina(doubleComplex* in, int size, doubleComplex* out); + +#ifdef __cplusplus +} /* extern "C" */ +#endif + + +#endif /* !__SIN_H__ */ + diff --git a/2.3-1/src/c/elementaryFunctions/includes/sinh.h b/2.3-1/src/c/elementaryFunctions/includes/sinh.h new file mode 100644 index 00000000..c052a901 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/includes/sinh.h @@ -0,0 +1,88 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#ifndef __SINH_H__ +#define __SINH_H__ + +#include "dynlib_elementaryfunctions.h" +#include "floatComplex.h" +#include "doubleComplex.h" + +#ifdef __cplusplus +extern "C" { +#endif +/* +** Compute Sine for different types . +*/ + +/* +** \brief Float Sine function +** \param in : input value. +*/ +EXTERN_ELEMFUNCT float ssinhs(float in); + +/* +** \brief Double Sine function +** \param in : input value. +*/ +EXTERN_ELEMFUNCT double dsinhs(double in); + +/* +** \brief Float Complex Sine function +** \param in : input value. +*/ +EXTERN_ELEMFUNCT floatComplex csinhs(floatComplex in); + +/* +** \brief Double Complex Sine function +** \param in : input value. +*/ +EXTERN_ELEMFUNCT doubleComplex zsinhs(doubleComplex in); + +/* +** \brief Float Matrix Sine function +** \param in : input array value. +** \param out : input array value. +** \param size : the size of in and out arrays. +*/ +EXTERN_ELEMFUNCT void ssinha(float* in, int size, float* out); + +/* +** \brief Double Matrix Sine function +** \param in : input array value. +** \param out : input array value. +** \param size : the size of in and out arrays. +*/ +EXTERN_ELEMFUNCT void dsinha(double* in, int size, double* out); + +/* +** \brief Float Complex Matrix Sine function +** \param in : input array value. +** \param out : input array value. +** \param size : the size of in and out arrays. +*/ +EXTERN_ELEMFUNCT void csinha(floatComplex* in, int size, floatComplex* out); + +/* +** \brief Double Complex Matrix Sine function +** \param in : input array value. +** \param out : input array value. +** \param size : the size of in and out arrays. +*/ +EXTERN_ELEMFUNCT void zsinha(doubleComplex* in, int size, doubleComplex* out); + +#ifdef __cplusplus +} /* extern "C" */ +#endif + + +#endif /* !__SINH_H__ */ diff --git a/2.3-1/src/c/elementaryFunctions/includes/sqrt.h b/2.3-1/src/c/elementaryFunctions/includes/sqrt.h new file mode 100644 index 00000000..7885c9c2 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/includes/sqrt.h @@ -0,0 +1,88 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2007-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#ifndef __SQRT_H__ +#define __SQRT_H__ + +#include "dynlib_elementaryfunctions.h" +#include "floatComplex.h" +#include "doubleComplex.h" + +#ifdef __cplusplus +extern "C" { +#endif +/* +** Compute Square Root for different types . +*/ + +/* +** \brief Float Square Root function +** \param in : input value. +*/ +EXTERN_ELEMFUNCT float ssqrts(float in); + +/* +** \brief Double Square Root function +** \param in : input value. +*/ +EXTERN_ELEMFUNCT double dsqrts(double in); + +/* +** \brief Float Complex Square Root function +** \param in : input value. +*/ +EXTERN_ELEMFUNCT floatComplex csqrts(floatComplex in); + +/* +** \brief Double Complex Square Root function +** \param in : input value. +*/ +EXTERN_ELEMFUNCT doubleComplex zsqrts(doubleComplex in); + +/* +** \brief Float Matrix Square Root function +** \param in : input array value. +** \param out : output array value. +** \param size : the size of in and out arrays. +*/ +EXTERN_ELEMFUNCT void ssqrta(float* in, int size, float* out); + +/* +** \brief Double Matrix Square Root function +** \param in : input array value. +** \param out : output array value. +** \param size : the size of in and out arrays. +*/ +EXTERN_ELEMFUNCT void dsqrta(double* in, int size, double* out); + +/* +** \brief Float Complex Matrix Square Root function +** \param in : input array value. +** \param out : output array value. +** \param size : the size of in and out arrays. +*/ +EXTERN_ELEMFUNCT void csqrta(floatComplex* in, int size, floatComplex* out); + +/* +** \brief Double Complex Matrix Square Root function +** \param in : input array value. +** \param out : output array value. +** \param size : the size of in and out arrays. +*/ +EXTERN_ELEMFUNCT void zsqrta(doubleComplex* in, int size, doubleComplex* out); + +#ifdef __cplusplus +} /* extern "C" */ +#endif + + +#endif /* !__SQRT_H__ */ diff --git a/2.3-1/src/c/elementaryFunctions/includes/tan.h b/2.3-1/src/c/elementaryFunctions/includes/tan.h new file mode 100644 index 00000000..77ef7868 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/includes/tan.h @@ -0,0 +1,89 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#ifndef __TAN_H__ +#define __TAN_H__ + +#include "dynlib_elementaryfunctions.h" +#include "floatComplex.h" +#include "doubleComplex.h" + +#ifdef __cplusplus +extern "C" { +#endif +/* +** Compute Tangeant for different types . +*/ + +/* +** \brief Float Tangeant function +** \param in : input value. +*/ +EXTERN_ELEMFUNCT float stans(float in); + +/* +** \brief Double Tangeant function +** \param in : input value. +*/ +EXTERN_ELEMFUNCT double dtans(double in); + +/* +** \brief Float Complex Tangeant function +** \param in : input value. +*/ +EXTERN_ELEMFUNCT floatComplex ctans(floatComplex in); + +/* +** \brief Double Complex Tangeant function +** \param in : input value. +*/ +EXTERN_ELEMFUNCT doubleComplex ztans(doubleComplex in); + +/* +** \brief Float Matrix Tangeant function +** \param in : input array value. +** \param out : input array value. +** \param size : the size of in and out arrays. +*/ +EXTERN_ELEMFUNCT void stana(float* in, int size, float* out); + +/* +** \brief Double Matrix Tangeant function +** \param in : input array value. +** \param out : input array value. +** \param size : the size of in and out arrays. +*/ +EXTERN_ELEMFUNCT void dtana(double* in, int size, double* out); + +/* +** \brief Float Complex Matrix Tangeant function +** \param in : input array value. +** \param out : input array value. +** \param size : the size of in and out arrays. +*/ +EXTERN_ELEMFUNCT void ctana(floatComplex* in, int size, floatComplex* out); + +/* +** \brief Double Complex Matrix Tangeant function +** \param in : input array value. +** \param out : input array value. +** \param size : the size of in and out arrays. +*/ +EXTERN_ELEMFUNCT void ztana(doubleComplex* in, int size, doubleComplex* out); + +#ifdef __cplusplus +} /* extern "C" */ +#endif + + +#endif /* !__TAN_H__ */ + diff --git a/2.3-1/src/c/elementaryFunctions/includes/tanh.h b/2.3-1/src/c/elementaryFunctions/includes/tanh.h new file mode 100644 index 00000000..9ff440cf --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/includes/tanh.h @@ -0,0 +1,88 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#ifndef __TANH_H__ +#define __TANH_H__ + +#include "dynlib_elementaryfunctions.h" +#include "floatComplex.h" +#include "doubleComplex.h" + +#ifdef __cplusplus +extern "C" { +#endif +/* +** Compute Hyperbolic Tangeant for different types . +*/ + +/* +** \brief Float Hyperbolic Tangeant function +** \param in : input value. +*/ +EXTERN_ELEMFUNCT float stanhs(float in); + +/* +** \brief Double Hyperbolic Tangeant function +** \param in : input value. +*/ +EXTERN_ELEMFUNCT double dtanhs(double in); + +/* +** \brief Float Complex Hyperbolic Tangeant function +** \param in : input value. +*/ +EXTERN_ELEMFUNCT floatComplex ctanhs(floatComplex in); + +/* +** \brief Double Complex Hyperbolic Tangeant function +** \param in : input value. +*/ +EXTERN_ELEMFUNCT doubleComplex ztanhs(doubleComplex in); + +/* +** \brief Float Matrix Hyperbolic Tangeant function +** \param in : input array value. +** \param out : output array value. +** \param size : the size of in and out arrays. +*/ +EXTERN_ELEMFUNCT void stanha(float* in, int size, float* out); + +/* +** \brief Double Matrix Hyperbolic Tangeant function +** \param in : input array value. +** \param out : output array value. +** \param size : the size of in and out arrays. +*/ +EXTERN_ELEMFUNCT void dtanha(double* in, int size, double* out); + +/* +** \brief Float Complex Matrix Hyperbolic Tangeant function +** \param in : input array value. +** \param out : output array value. +** \param size : the size of in and out arrays. +*/ +EXTERN_ELEMFUNCT void ctanha(floatComplex* in, int size, floatComplex* out); + +/* +** \brief Double Complex Matrix Hyperbolic Tangeant function +** \param in : input array value. +** \param out : output array value. +** \param size : the size of in and out arrays. +*/ +EXTERN_ELEMFUNCT void ztanha(doubleComplex* in, int size, doubleComplex* out); + +#ifdef __cplusplus +} /* extern "C" */ +#endif + + +#endif /* !__TANH_H__ */ diff --git a/2.3-1/src/c/elementaryFunctions/int/Makefile.am b/2.3-1/src/c/elementaryFunctions/int/Makefile.am new file mode 100644 index 00000000..be6e6617 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/int/Makefile.am @@ -0,0 +1,61 @@ +## +## Scilab ( http://www.scilab.org/ ) - This file is part of Scilab +## Copyright (C) 2006-2008 - INRIA - Bruno JOFRET +## +## This file must be used under the terms of the CeCILL. +## This source file is licensed as described in the file COPYING, which +## you should have received as part of this distribution. 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mostlyclean-generic \ + mostlyclean-libtool pdf pdf-am ps ps-am tags uninstall \ + uninstall-am uninstall-pkglibLTLIBRARIES + + +# Tell versions [3.59,3.63) of GNU make to not export all variables. +# Otherwise a system limit (for SysV at least) may be exceeded. +.NOEXPORT: diff --git a/2.3-1/src/c/elementaryFunctions/int/cinta.c b/2.3-1/src/c/elementaryFunctions/int/cinta.c new file mode 100644 index 00000000..a567b7af --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/int/cinta.c @@ -0,0 +1,18 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Arnaud Torset + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "fix.h" +#include "int.h" + +void cinta(floatComplex* x, int size, floatComplex* out) { + cfixa(x,size,out); +} diff --git a/2.3-1/src/c/elementaryFunctions/int/cints.c b/2.3-1/src/c/elementaryFunctions/int/cints.c new file mode 100644 index 00000000..0a3fad2f --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/int/cints.c @@ -0,0 +1,19 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Arnaud Torset + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + + +#include "fix.h" +#include "int.h" + +floatComplex cints(floatComplex x) { + return cfixs(x); +} diff --git a/2.3-1/src/c/elementaryFunctions/int/dinta.c b/2.3-1/src/c/elementaryFunctions/int/dinta.c new file mode 100644 index 00000000..5e34f757 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/int/dinta.c @@ -0,0 +1,19 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Arnaud Torset + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + + +#include "fix.h" +#include "int.h" + +void dinta(double* x, int size, double* out) { + dfixa(x,size,out); +} diff --git a/2.3-1/src/c/elementaryFunctions/int/dints.c b/2.3-1/src/c/elementaryFunctions/int/dints.c new file mode 100644 index 00000000..82150665 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/int/dints.c @@ -0,0 +1,19 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Arnaud Torset + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + + +#include "fix.h" +#include "int.h" + +double dints(double x) { + return dfixs(x); +} diff --git a/2.3-1/src/c/elementaryFunctions/int/sinta.c b/2.3-1/src/c/elementaryFunctions/int/sinta.c new file mode 100644 index 00000000..0035db05 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/int/sinta.c @@ -0,0 +1,19 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Arnaud Torset + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + + +#include "fix.h" +#include "int.h" + +void sinta(float* x, int size, float* out) { + sfixa(x,size,out); +} diff --git a/2.3-1/src/c/elementaryFunctions/int/sints.c b/2.3-1/src/c/elementaryFunctions/int/sints.c new file mode 100644 index 00000000..dd65a526 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/int/sints.c @@ -0,0 +1,19 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Arnaud Torset + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + + +#include "fix.h" +#include "int.h" + +float sints(float x) { + return sfixs(x); +} diff --git a/2.3-1/src/c/elementaryFunctions/int/testDoubleInt.c b/2.3-1/src/c/elementaryFunctions/int/testDoubleInt.c new file mode 100644 index 00000000..f5bf78b8 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/int/testDoubleInt.c @@ -0,0 +1,160 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008 - INRIA - Arnaud TORSET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + + +#include <assert.h> +#include <math.h> +#include <stdio.h> +#include "int.h" + +static void dintsTest(void) { + /* FIXME : results could be differents of what wanted because of C number + where 1 can be 0.99999999999992347 + This example fail : + for(i=-2;i<-1;i+=.1){ + out = dints(i); + } + In the case of -1, -1 wasn't -1 exactly so error + */ + assert ((fabs( dints(-2) - (-2))/fabs(dints(-2)))<1e-16); + assert ((fabs( dints(-1.9) - (-1))/fabs(dints(-1.9)))<1e-16); + assert ((fabs( dints(-1.8) - (-1))/fabs(dints(-1.8)))<1e-16); + assert ((fabs( dints(-1.7) - (-1))/fabs(dints(-1.7)))<1e-16); + assert ((fabs( dints(-1.6) - (-1))/fabs(dints(-1.6)))<1e-16); + assert ((fabs( dints(-1.5) - (-1))/fabs(dints(-1.5)))<1e-16); + assert ((fabs( dints(-1.4) - (-1))/fabs(dints(-1.4)))<1e-16); + assert ((fabs( dints(-1.3) - (-1))/fabs(dints(-1.3)))<1e-16); + assert ((fabs( dints(-1.2) - (-1))/fabs(dints(-1.2)))<1e-16); + assert ((fabs( dints(-1.1) - (-1))/fabs(dints(-1.1)))<1e-16); + assert ((fabs( dints(-1.0) - (-1))/fabs(dints(-1.0)))<1e-16); + assert (fabs( dints(-.9))<1e-16); + assert ((fabs( dints(1.0) - (1))/fabs(dints(1.0)))<1e-16); + assert ((fabs( dints(1.1) - (1))/fabs(dints(1.1)))<1e-16); + assert ((fabs( dints(1.2) - (1))/fabs(dints(1.2)))<1e-16); + assert ((fabs( dints(1.3) - (1))/fabs(dints(1.3)))<1e-16); + assert ((fabs( dints(1.4) - (1))/fabs(dints(1.4)))<1e-16); + assert ((fabs( dints(1.5) - (1))/fabs(dints(1.5)))<1e-16); + assert ((fabs( dints(1.6) - (1))/fabs(dints(1.6)))<1e-16); + assert ((fabs( dints(1.7) - (1))/fabs(dints(1.7)))<1e-16); + assert ((fabs( dints(1.8) - (1))/fabs(dints(1.8)))<1e-16); + assert ((fabs( dints(1.9) - (1))/fabs(dints(1.9)))<1e-16); + assert ((fabs( dints(2.0) - (2))/fabs(dints(2.0)))<1e-16); + +} + +static void zintsTest(void) { + doubleComplex in, out; + + + /* tests allant de -2 + i a -1 + 2*i, les reels décroissants de 0.1, les imaginaires croissant de 0.1 + + 1 test supplementaire : -0.9 + 0.9*i*/ + + in=DoubleComplex(-2,1); + out = zints(in); + assert ((fabs( zreals(out) - (-2))/fabs(zreals(out)))<1e-16); + assert ((fabs( zimags(out) - (1))/fabs(zimags(out)))<1e-16); + in=DoubleComplex(-1.9,1.1); + out = zints(in); + assert ((fabs( zreals(out) - (-1))/fabs(zreals(out)))<1e-16); + assert ((fabs( zimags(out) - (1))/fabs(zimags(out)))<1e-16); + in=DoubleComplex(-1.8,1.2); + out = zints(in); + assert ((fabs( zreals(out) - (-1))/fabs(zreals(out)))<1e-16); + assert ((fabs( zimags(out) - (1))/fabs(zimags(out)))<1e-16); + in=DoubleComplex(-1.7,1.3); + out = zints(in); + assert ((fabs( zreals(out) - (-1))/fabs(zreals(out)))<1e-16); + assert ((fabs( zimags(out) - (1))/fabs(zimags(out)))<1e-16); + in=DoubleComplex(-1.6,1.4); + out = zints(in); + assert ((fabs( zreals(out) - (-1))/fabs(zreals(out)))<1e-16); + assert ((fabs( zimags(out) - (1))/fabs(zimags(out)))<1e-16); + in=DoubleComplex(-1.5,1.5); + out = zints(in); + assert ((fabs( zreals(out) - (-1))/fabs(zreals(out)))<1e-16); + assert ((fabs( zimags(out) - (1))/fabs(zimags(out)))<1e-16); + in=DoubleComplex(-1.4,1.6); + out = zints(in); + assert ((fabs( zreals(out) - (-1))/fabs(zreals(out)))<1e-16); + assert ((fabs( zimags(out) - (1))/fabs(zimags(out)))<1e-16); + in=DoubleComplex(-1.3,1.7); + out = zints(in); + assert ((fabs( zreals(out) - (-1))/fabs(zreals(out)))<1e-16); + assert ((fabs( zimags(out) - (1))/fabs(zimags(out)))<1e-16); + in=DoubleComplex(-1.2,1.8); + out = zints(in); + assert ((fabs( zreals(out) - (-1))/fabs(zreals(out)))<1e-16); + assert ((fabs( zimags(out) - (1))/fabs(zimags(out)))<1e-16); + in=DoubleComplex(-1.4,1.9); + out = zints(in); + assert ((fabs( zreals(out) - (-1))/fabs(zreals(out)))<1e-16); + assert ((fabs( zimags(out) - (1))/fabs(zimags(out)))<1e-16); + in=DoubleComplex(-1.0,2.0); + out = zints(in); + assert ((fabs( zreals(out) - (-1))/fabs(zreals(out)))<1e-16); + assert ((fabs( zimags(out) - (2))/fabs(zimags(out)))<1e-16); + in=DoubleComplex(-.9,.9); + out = zints(in); + assert (fabs( zreals(out))<1e-16); + assert (fabs( zimags(out))<1e-16); +} + +static void dintaTest(void) { + int i; + double in[10]={1.2, 2.0,-2.0,-3.1,-4.5,6.1,4.1,4.9,-0.7, 0.5}; + double res[10]={1,2,-2,-3,-4,6,4,4,0,0}; + double out[10]; + + dinta(in,10,out); + + for (i=0;i<10;i++) + if (out[i]!=0) assert(fabs(out[i]-res[i])/fabs(out[i]) <1e-16); + else assert(fabs(out[i]-res[i]) <1e-16); + + + +} + +static void zintaTest(void) { + int i; + double inR[10]={1.2, 2.0,-2.0,-3.1,-4.5,6.1,4.1,4.9,-0.7, 0.5}; + double inI[10]={5.4,1.8,1.4,-4.0,-2.7,-0.3,1.5,1.4,7.3,-4.6}; + double resR[10]={1,2,-2,-3,-4,6,4,4,0,0}; + double resI[10]={5,1,1,-4,-2,0,1,1,7,-4}; + doubleComplex out[10],*in; + + in=DoubleComplexMatrix(inR,inI,10); + zinta(in,10,out); + + for (i=0;i<10;i++){ + if(zreals(out[i])!=0) assert(fabs(zreals(out[i])-resR[i])/ fabs(zreals(out[i]))<1e-16); + assert(fabs(zreals(out[i])-resR[i]) <1e-16); + if(zimags(out[i])!=0) assert(fabs(zimags(out[i])-resI[i])/ fabs(zimags(out[i]))<1e-16); + assert(fabs(zimags(out[i])-resI[i]) <1e-16); + } +} + + +static int testInt() { + printf("\n>>>> Double Int Tests\n"); + dintsTest(); + zintsTest(); + dintaTest(); + zintaTest(); + + return 0; +} + +int main() { + assert(testInt() == 0); + return 0; +} diff --git a/2.3-1/src/c/elementaryFunctions/int/testFloatInt.c b/2.3-1/src/c/elementaryFunctions/int/testFloatInt.c new file mode 100644 index 00000000..923ebf5b --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/int/testFloatInt.c @@ -0,0 +1,149 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008 - INRIA - Arnaud TORSET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + + +#include <assert.h> +#include <math.h> +#include <stdio.h> +#include "int.h" + +static void sintsTest(void) { + + assert ((fabs( sints(-2) - (-2))/fabs(sints(-2)))<1e-16); + assert ((fabs( sints(-1.9f) - (-1))/fabs(sints(-1.9f)))<1e-16); + assert ((fabs( sints(-1.8f) - (-1))/fabs(sints(-1.8f)))<1e-16); + assert ((fabs( sints(-1.7f) - (-1))/fabs(sints(-1.7f)))<1e-16); + assert ((fabs( sints(-1.6f) - (-1))/fabs(sints(-1.6f)))<1e-16); + assert ((fabs( sints(-1.5f) - (-1))/fabs(sints(-1.5f)))<1e-16); + assert ((fabs( sints(-1.4f) - (-1))/fabs(sints(-1.4f)))<1e-16); + assert ((fabs( sints(-1.3f) - (-1))/fabs(sints(-1.3f)))<1e-16); + assert ((fabs( sints(-1.2f) - (-1))/fabs(sints(-1.2f)))<1e-16); + assert ((fabs( sints(-1.1f) - (-1))/fabs(sints(-1.1f)))<1e-16); + assert ((fabs( sints(-1.0f) - (-1))/fabs(sints(-1.0f)))<1e-16); + assert (fabs( sints(-.9f))<1e-16); + assert ((fabs( sints(1.0f) - (1))/fabs(sints(1.0f)))<1e-16); + assert ((fabs( sints(1.1f) - (1))/fabs(sints(1.1f)))<1e-16); + assert ((fabs( sints(1.2f) - (1))/fabs(sints(1.2f)))<1e-16); + assert ((fabs( sints(1.3f) - (1))/fabs(sints(1.3f)))<1e-16); + assert ((fabs( sints(1.4f) - (1))/fabs(sints(1.4f)))<1e-16); + assert ((fabs( sints(1.5f) - (1))/fabs(sints(1.5f)))<1e-16); + assert ((fabs( sints(1.6f) - (1))/fabs(sints(1.6f)))<1e-16); + assert ((fabs( sints(1.7f) - (1))/fabs(sints(1.7f)))<1e-16); + assert ((fabs( sints(1.8f) - (1))/fabs(sints(1.8f)))<1e-16); + assert ((fabs( sints(1.9f) - (1))/fabs(sints(1.9f)))<1e-16); + assert ((fabs( sints(2.0f) - (2))/fabs(sints(2.0f)))<1e-16); +} + +static void cintsTest(void) { + floatComplex in, out; + + + /* tests allant de -2 + i a -1 + 2*i, les reels décroissants de 0.1, les imaginaires croissant de 0.1 + + 1 test supplementaire : -0.9 + 0.9*i*/ + + in=FloatComplex(-2,1); + out = cints(in); + assert ((fabs( creals(out) - (-2))/fabs(creals(out)))<1e-16); + assert ((fabs( cimags(out) - (1))/fabs(cimags(out)))<1e-16); + in=FloatComplex(-1.9f,1.1f); + out = cints(in); + assert ((fabs( creals(out) - (-1))/fabs(creals(out)))<1e-16); + assert ((fabs( cimags(out) - (1))/fabs(cimags(out)))<1e-16); + in=FloatComplex(-1.8f,1.2f); + out = cints(in); + assert ((fabs( creals(out) - (-1))/fabs(creals(out)))<1e-16); + assert ((fabs( cimags(out) - (1))/fabs(cimags(out)))<1e-16); + in=FloatComplex(-1.7f,1.3f); + out = cints(in); + assert ((fabs( creals(out) - (-1))/fabs(creals(out)))<1e-16); + assert ((fabs( cimags(out) - (1))/fabs(cimags(out)))<1e-16); + in=FloatComplex(-1.6f,1.4f); + out = cints(in); + assert ((fabs( creals(out) - (-1))/fabs(creals(out)))<1e-16); + assert ((fabs( cimags(out) - (1))/fabs(cimags(out)))<1e-16); + in=FloatComplex(-1.5f,1.5f); + out = cints(in); + assert ((fabs( creals(out) - (-1))/fabs(creals(out)))<1e-16); + assert ((fabs( cimags(out) - (1))/fabs(cimags(out)))<1e-16); + in=FloatComplex(-1.4f,1.6f); + out = cints(in); + assert ((fabs( creals(out) - (-1))/fabs(creals(out)))<1e-16); + assert ((fabs( cimags(out) - (1))/fabs(cimags(out)))<1e-16); + in=FloatComplex(-1.3f,1.7f); + out = cints(in); + assert ((fabs( creals(out) - (-1))/fabs(creals(out)))<1e-16); + assert ((fabs( cimags(out) - (1))/fabs(cimags(out)))<1e-16); + in=FloatComplex(-1.2f,1.8f); + out = cints(in); + assert ((fabs( creals(out) - (-1))/fabs(creals(out)))<1e-16); + assert ((fabs( cimags(out) - (1))/fabs(cimags(out)))<1e-16); + in=FloatComplex(-1.1f,1.9f); + out = cints(in); + assert ((fabs( creals(out) - (-1))/fabs(creals(out)))<1e-16); + assert ((fabs( cimags(out) - (1))/fabs(cimags(out)))<1e-16); + in=FloatComplex(-1.0f,2.0f); + out = cints(in); + assert ((fabs( creals(out) - (-1))/fabs(creals(out)))<1e-16); + assert ((fabs( cimags(out) - (2))/fabs(cimags(out)))<1e-16); + in=FloatComplex(-.9f,.9f); + out = cints(in); + assert (fabs( creals(out))<1e-16); + assert (fabs( cimags(out))<1e-16); +} + +static void sintaTest(void) { + int i; + float in[10]={1.2f, 2.0f,-2.0f,-3.1f,-4.5f,6.1f,4.1f,4.9f,-0.7f, 0.5f}; + float res[10]={1,2,-2,-3,-4,6,4,4,0,0}; + float out[10]; + + sinta(in,10,out); + + for (i=0;i<10;i++) + if (out[i]!=0) assert(fabs(out[i]-res[i])/fabs(out[i]) <1e-16); + else assert(fabs(out[i]-res[i]) <1e-16); + +} + +static void cintaTest(void) { + int i; + float inR[10]={1.2f, 2.0f,-2.0f,-3.1f,-4.5f,6.1f,4.1f,4.9f,-0.7f, 0.5f}; + float inI[10]={5.4f,1.8f,1.4f,-4.0f,-2.7f,-0.3f,1.5f,1.4f,7.3f,-4.6f}; + float resR[10]={1,2,-2,-3,-4,6,4,4,0,0}; + float resI[10]={5,1,1,-4,-2,0,1,1,7,-4}; + floatComplex out[10],*in; + + in=FloatComplexMatrix(inR,inI,10); + cinta(in,10,out); + + for (i=0;i<10;i++){ + if (creals(out[i])!=0) assert(fabs(creals(out[i])-resR[i])/fabs(creals(out[i])) <1e-16); + else assert(fabs(creals(out[i])-resR[i]) <1e-16); + if (cimags(out[i])!=0) assert(fabs(cimags(out[i])-resI[i])/fabs(cimags(out[i])) <1e-16); + else assert(fabs(cimags(out[i])-resI[i]) <1e-16); + } +} + +static int testInt() { + printf("\n>>>> Float Int Tests\n"); + sintsTest(); + cintsTest(); + sintaTest(); + cintaTest(); + + return 0; +} + +int main() { + assert(testInt() == 0); + return 0; +} diff --git a/2.3-1/src/c/elementaryFunctions/int/zinta.c b/2.3-1/src/c/elementaryFunctions/int/zinta.c new file mode 100644 index 00000000..1d6392be --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/int/zinta.c @@ -0,0 +1,18 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Arnaud Torset + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "fix.h" +#include "int.h" + +void zinta(doubleComplex* x, int size, doubleComplex* out) { + zfixa(x,size,out); +} diff --git a/2.3-1/src/c/elementaryFunctions/int/zints.c b/2.3-1/src/c/elementaryFunctions/int/zints.c new file mode 100644 index 00000000..1c014a57 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/int/zints.c @@ -0,0 +1,19 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Arnaud Torset + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + + +#include "fix.h" +#include "int.h" + +doubleComplex zints(doubleComplex x) { + return zfixs(x); +} diff --git a/2.3-1/src/c/elementaryFunctions/interfaces/int_OpDotHat.h b/2.3-1/src/c/elementaryFunctions/interfaces/int_OpDotHat.h new file mode 100644 index 00000000..8e5c7042 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/interfaces/int_OpDotHat.h @@ -0,0 +1,139 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +/* THIS IS AN AUTOMATICALLY GENERATED FILE : DO NOT EDIT BY HAND. */ + +#ifndef __INT_OPDOTHAT_H__ +#define __INT_OPDOTHAT_H__ + + +/* Scalar - Scalar */ +#define s0s0OpDotHats0(in1, in2) spows(in1, in2) + +#define d0d0OpDotHatd0(in1, in2) dpows(in1, in2) + +#define c0c0OpDotHatc0(in1, in2) cpows(in1, in2) + +#define z0z0OpDotHatz0(in1, in2) zpows(in1, in2) + +#define s0c0OpDotHatc0(in1, in2) cpows(FloatComplex(in1,0), in2) + +#define c0s0OpDotHatc0(in1, in2) cpows(in1, FloatComplex(in2,0)) + +#define d0z0OpDotHatz0(in1, in2) zpows(DoubleComplex(in1,0), in2) + +#define z0d0OpDotHatz0(in1, in2) zpows(in1, DoubleComplex(in2,0)) + + +/* Scalar - Matrix */ +#define s0s2OpDotHats2(in1, in2, size, out) {int i=0;\ + for (i=0;i<size[0]*size[1];i++) out[i]=spows(in1,in2[i]);\ + } + +#define d0d2OpDotHatd2(in1, in2, size, out) {int i=0;\ + for (i=0;i<size[0]*size[1];i++) out[i]=dpows(in1,in2[i]);\ + } + + +#define c0c2OpDotHatc2(in1, in2, size, out) {int i=0;\ + for (i=0;i<size[0]*size[1];i++) out[i]=cpows(in1,in2[i]);\ + } + + +#define z0z2OpDotHatz2(in1, in2, size, out) {int i=0;\ + for (i=0;i<size[0]*size[1];i++) out[i]=zpows(in1,in2[i]);\ + } + + + +#define s0c2OpDotHatc2(in1, in2, size, out) {int i=0;\ + for (i=0;i<size[0]*size[1];i++) out[i]=cpows(FloatComplex(in1,0),in2[i]);\ + } + +#define d0z2OpDotHatz2(in1, in2, size, out) {int i=0;\ + for (i=0;i<size[0]*size[1];i++) out[i]=zpows(DoubleComplex(in1,0),in2[i]);\ + } + +#define c0s2OpDotHatc2(in1, in2, size, out) {int i=0;\ + for (i=0;i<size[0]*size[1];i++) out[i]=cpows(in1,FloatComplex(in2[i],0));\ + } + +#define z0d2OpDotHatz2(in1, in2, size, out) {int i=0;\ + for (i=0;i<size[0]*size[1];i++) out[i]=zpows(in1,DoubleComplex(in2[i],0));\ + } + + +/* Matrix - Scalar */ + +#define s2s0OpDotHats2(in1,size,in2,out) {int i=0;\ + for (i=0;i<size[0]*size[1];i++) out[i]=spows(in1[i],in2);\ + } + +#define d2d0OpDotHatd2(in1,size,in2,out) {int i=0;\ + for (i=0;i<size[0]*size[1];i++) out[i]=dpows(in1[i],in2);\ + } + +#define c2c0OpDotHatc2(in1,size,in2,out) {int i=0;\ + for (i=0;i<size[0]*size[1];i++) out[i]=cpows(in1[i],in2);\ + } + +#define z2z0OpDotHatz2(in1,size,in2,out) {int i=0;\ + for (i=0;i<size[0]*size[1];i++) out[i]=zpows(in1[i],in2);\ + } + +#define s2c0OpDotHatc2(in1,size,in2,out) {int i=0;\ + for (i=0;i<size[0]*size[1];i++) out[i]=cpows(FloatComplex(in1[i],0),in2);\ + } + +#define d2z0OpDotHatz2(in1,size,in2,out) {int i=0;\ + for (i=0;i<size[0]*size[1];i++) out[i]=zpows(DoubleComplex(in1[i],0),in2);\ + } + +#define c2s0OpDotHatc2(in1,size,in2,out) {int i=0;\ + for (i=0;i<size[0]*size[1];i++) out[i]=cpows(in1[i],FloatComplex(in2,0));\ + } + +#define z2d0OpDotHatz2(in1,size,in2,out) {int i=0;\ + for (i=0;i<size[0]*size[1];i++) out[i]=zpows(in1[i],DoubleComplex(in2,0));\ + } + + +/* Matrix - Matrix */ + +#define s2s2OpDotHats2(in1, size1, in2, size2, out) spowa(in1, size1[0]*size2[1], in2, out) + +#define d2d2OpDotHatd2(in1, size1, in2, size2, out) dpowa(in1, size1[0]*size2[1], in2, out) + +#define c2c2OpDotHatc2(in1, size1, in2, size2, out) cpowa(in1, size1[0]*size2[1], in2, out) + +#define z2z2OpDotHatz2(in1, size1, in2, size2, out) zpowa(in1, size1[0]*size2[1], in2, out) + +#define s2c2OpDotHatc2(in1, size1, in2, size2, out) {int i=0;\ + for (i=0;i<size1[0]*size2[1];i++) out[i]=cpows(FloatComplex(in1[i],0),in2[i]);\ + } + +#define c2s2OpDotHatc2(in1, size1, in2, size2, out) {int i=0;\ + for (i=0;i<size1[0]*size2[1];i++) out[i]=cpows(in1[i],FloatComplex(in2[i],0));\ + } + +#define d2z2OpDotHatz2(in1, size1, in2, size2, out) {int i=0;\ + for (i=0;i<size1[0]*size2[1];i++) out[i]=zpows(DoubleComplex(in1[i],0),in2[i]);\ + } + +#define z2d2OpDotHatz2(in1, size1, in2, size2, out) {int i=0;\ + for (i=0;i<size1[0]*size2[1];i++) out[i]=zpows(in1[i],DoubleComplex(in2[i],0));\ + } + + + + +#endif /* !__INT_OPDOTHAT_H__ */ diff --git a/2.3-1/src/c/elementaryFunctions/interfaces/int_OpHat.h b/2.3-1/src/c/elementaryFunctions/interfaces/int_OpHat.h new file mode 100644 index 00000000..8cc8849c --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/interfaces/int_OpHat.h @@ -0,0 +1,110 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +/* THIS IS AN AUTOMATICALLY GENERATED FILE : DO NOT EDIT BY HAND. */ + +#ifndef __INT_OPHAT_H__ +#define __INT_OPHAT_H__ + + +/* Scalar - Scalar */ +#define s0s0OpHats0(in1, in2) spows(in1, in2) + +#define d0d0OpHatd0(in1, in2) dpows(in1, in2) + +#define c0c0OpHatc0(in1, in2) cpows(in1, in2) + +#define s0c0OpHatc0(in1, in2) cpows(FloatComplex(in1,0), in2) + +#define c0s0OpHatc0(in1, in2) cpows(in1, FloatComplex(in2,0)) + +#define z0z0OpHatz0(in1, in2) zpows(in1, in2) + +#define d0z0OpHatz0(in1, in2) zpows(DoubleComplex(in1,0), in2) + +#define z0d0OpHatz0(in1, in2) zpows(in1, DoubleComplex(in2,0)) + + + +/* Scalar - Matrix */ +#define s0s2OpHats2(in1, in2, size, out) {int i=0;\ + for (i=0;i<size[0]*size[1];i++) out[i]=spows(in1,in2[i]);\ + } + +#define d0d2OpHatd2(in1, in2, size, out) {int i=0;\ + for (i=0;i<size[0]*size[1];i++) out[i]=dpows(in1,in2[i]);\ + } + + +#define c0c2OpHatc2(in1, in2, size, out) {int i=0;\ + for (i=0;i<size[0]*size[1];i++) out[i]=cpows(in1,in2[i]);\ + } + + +#define z0z2OpHatz2(in1, in2, size, out) {int i=0;\ + for (i=0;i<size[0]*size[1];i++) out[i]=zpows(in1,in2[i]);\ + } + + + +#define s0c2OpHatc2(in1, in2, size, out) {int i=0;\ + for (i=0;i<size[0]*size[1];i++) out[i]=cpows(FloatComplex(in1,0),in2[i]);\ + } + +#define d0z2OpHatz2(in1, in2, size, out) {int i=0;\ + for (i=0;i<size[0]*size[1];i++) out[i]=zpows(DoubleComplex(in1,0),in2[i]);\ + } + +#define c0s2OpHatc2(in1, in2, size, out) {int i=0;\ + for (i=0;i<size[0]*size[1];i++) out[i]=cpows(in1,FloatComplex(in2[i],0));\ + } + +#define z0d2OpHatz2(in1, in2, size, out) {int i=0;\ + for (i=0;i<size[0]*size[1];i++) out[i]=zpows(in1,DoubleComplex(in2[i],0));\ + } + + +/* Matrix - Scalar */ +/* Matrices must be square */ + +#define s2s0OpHats2(in1,size,in2,out) spowma(in1,size[0],in2,out); + +#define d2d0OpHatd2(in1,size,in2,out) dpowma(in1,size[0],in2,out); + +#define c2c0OpHatc2(in1,size,in2,out) cpowma(in1,size[0],in2,out); + +#define z2z0OpHatz2(in1,size,in2,out) zpowma(in1,size[0],in2,out); + +/* FIXME : malloc here */ +#define s2c0OpHatc2(in1,size,in2,out) {float* tmp;\ + tmp = malloc((uint)(size[0]*size[1])*sizeof(float));\ + szerosa(tmp,size[0],size[1]);\ + cpowma(FloatComplexMatrix(in1,tmp,size[0]*size[1]),size[0],in2,out);\ + free(tmp);\ + } + +#define d2z0OpHatz2(in1,size,in2,out) {double* tmp;\ + tmp = malloc((uint)(size[0]*size[1])*sizeof(double));\ + dzerosa(tmp,size[0],size[1]);\ + zpowma(DoubleComplexMatrix(in1,tmp,size[0]*size[1]),size[0],in2,out);\ + free(tmp);\ + } + +#define c2s0OpHatc2(in1,size,in2,out) cpowma(in1,size[0],FloatComplex(in2,0),out); + +#define z2d0OpHatz2(in1,size,in2,out) zpowma(in1,size[0],DoubleComplex(in2,0),out); + + + + + +#endif /* !__INT_OPHAT_H__ */ diff --git a/2.3-1/src/c/elementaryFunctions/interfaces/int_acos.h b/2.3-1/src/c/elementaryFunctions/interfaces/int_acos.h new file mode 100644 index 00000000..ad625348 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/interfaces/int_acos.h @@ -0,0 +1,42 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +/* THIS IS AN AUTOMATICALLY GENERATED FILE : DO NOT EDIT BY HAND. */ + +#ifndef __INT_ACOS_H__ +#define __INT_ACOS_H__ + +#define s0acoss0(in) sacoss(in) + +#define s0acosc0(in) cacoss(FloatComplex(in,0)) + +#define d0acosd0(in) dacoss(in) + +#define d0acosz0(in) zacoss(DoubleComplex(in,0)) + +#define c0acosc0(in) cacoss(in) + +#define z0acosz0(in) zacoss(in) + +#define s2acoss2(in,size,out) sacosa(in, size[0]*size[1], out) + +#define s2acosc2(in,size,out) cacosa(FloatComplexMatrix(in,0), size[0]*size[1], out) + +#define d2acosd2(in,size,out) dacosa(in, size[0]*size[1], out) + +#define d2acosz2(in,size,out) zacosa(DoubleComplexMatrix(in,0), size[0]*size[1], out) + +#define c2acosc2(in,size,out) cacosa(in, size[0]*size[1], out) + +#define z2acosz2(in,size,out) zacosa(in, size[0]*size[1], out) + +#endif /* !__INT_ACOS_H__ */ diff --git a/2.3-1/src/c/elementaryFunctions/interfaces/int_acosh.h b/2.3-1/src/c/elementaryFunctions/interfaces/int_acosh.h new file mode 100644 index 00000000..51280aa4 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/interfaces/int_acosh.h @@ -0,0 +1,42 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +/* THIS IS AN AUTOMATICALLY GENERATED FILE : DO NOT EDIT BY HAND. */ + +#ifndef __INT_ACOSH_H__ +#define __INT_ACOSH_H__ + +#define s0acoshs0(in) sacoshs(in) + +#define s0acoshc0(in) cacoshs(FloatComplex(in,0)) + +#define d0acoshd0(in) dacoshs(in) + +#define d0acoshz0(in) zacoshs(DoubleComplex(in,0)) + +#define c0acoshc0(in) cacoshs(in) + +#define z0acoshz0(in) zacoshs(in) + +#define s2acoshs2(in,size,out) sacosha(in, size[0]*size[1], out) + +#define s2acoshc2(in,size,out) cacosha(FloatComplexMatrix(in,0), size[0]*size[1], out) + +#define d2acoshd2(in,size,out) dacosha(in, size[0]*size[1], out) + +#define d2acoshz2(in,size,out) zacosha(DoubleComplexMatrix(in,0), size[0]*size[1], out) + +#define c2acoshc2(in,size,out) cacosha(in, size[0]*size[1], out) + +#define z2acoshz2(in,size,out) zacosha(in, size[0]*size[1], out) + +#endif /* !__INT_ACOSH_H__ */ diff --git a/2.3-1/src/c/elementaryFunctions/interfaces/int_asin.h b/2.3-1/src/c/elementaryFunctions/interfaces/int_asin.h new file mode 100644 index 00000000..65b5d17f --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/interfaces/int_asin.h @@ -0,0 +1,42 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +/* THIS IS AN AUTOMATICALLY GENERATED FILE : DO NOT EDIT BY HAND. */ + +#ifndef __INT_ASIN_H__ +#define __INT_ASIN_H__ + +#define s0asins0(in) sasins(in) + +#define s0asinc0(in) casins(FloatComplex(in,0)) + +#define d0asind0(in) dasins(in) + +#define d0asinz0(in) zasins(DoubleComplex(in,0)) + +#define c0asinc0(in) casins(in) + +#define z0asinz0(in) zasins(in) + +#define s2asins2(in,size,out) sasina(in, size[0]*size[1], out) + +#define s2asinc2(in,size,out) casina(FloatComplexMatrix(in,0), size[0]*size[1], out) + +#define d2asind2(in,size,out) dasina(in, size[0]*size[1], out) + +#define d2asinz2(in,size,out) zasina(DoubleComplexMatrix(in,0), size[0]*size[1], out) + +#define c2asinc2(in,size,out) casina(in, size[0]*size[1], out) + +#define z2asinz2(in,size,out) zasina(in, size[0]*size[1], out) + +#endif /* !__INT_ASIN_H__ */ diff --git a/2.3-1/src/c/elementaryFunctions/interfaces/int_asinh.h b/2.3-1/src/c/elementaryFunctions/interfaces/int_asinh.h new file mode 100644 index 00000000..590d0ad9 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/interfaces/int_asinh.h @@ -0,0 +1,34 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +/* THIS IS AN AUTOMATICALLY GENERATED FILE : DO NOT EDIT BY HAND. */ + +#ifndef __INT_ASINH_H__ +#define __INT_ASINH_H__ + +#define s0asinhs0(in) sasinhs(in) + +#define d0asinhd0(in) dasinhs(in) + +#define c0asinhc0(in) casinhs(in) + +#define z0asinhz0(in) zasinhs(in) + +#define s2asinhs2(in,size,out) sasinha(in, size[0]*size[1], out) + +#define d2asinhd2(in,size,out) dasinha(in, size[0]*size[1], out) + +#define c2asinhc2(in,size,out) casinha(in, size[0]*size[1], out) + +#define z2asinhz2(in,size,out) zasinha(in, size[0]*size[1], out) + +#endif /* !__INT_ASINH_H__ */ diff --git a/2.3-1/src/c/elementaryFunctions/interfaces/int_atan.h b/2.3-1/src/c/elementaryFunctions/interfaces/int_atan.h new file mode 100644 index 00000000..ad87e675 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/interfaces/int_atan.h @@ -0,0 +1,44 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +/* THIS IS AN AUTOMATICALLY GENERATED FILE : DO NOT EDIT BY HAND. */ + +#ifndef __INT_ATAN_H__ +#define __INT_ATAN_H__ + +#define s0atans0(in) satans(in) + +#define d0atand0(in) datans(in) + +#define c0atanc0(in) catans(in) + +#define z0atanz0(in) zatans(in) + +#define s2atans2(in,size,out) satana(in, size[0]*size[1], out) + +#define d2atand2(in,size,out) datana(in, size[0]*size[1], out) + +#define c2atanc2(in,size,out) catana(in, size[0]*size[1], out) + +#define z2atanz2(in,size,out) zatana(in, size[0]*size[1], out) + +#define s0s0atans0(in1, in2) satan2s(in1, in2) + +#define d0d0atand0(in1, in2) datan2s(in1, in2) + +#define s2s2atans2(in1,size1, in2, size2, out) satan2a(in1, size1[0]*size1[1], in2, size2[0]*size2[1], out) + +#define d2d2atand2(in1, size1, in2,size2, out) datan2a(in1, size1[0]*size1[1], in2, size2[0]*size2[1], out) + + + +#endif /* !__INT_ATAN_H__ */ diff --git a/2.3-1/src/c/elementaryFunctions/interfaces/int_atanh.h b/2.3-1/src/c/elementaryFunctions/interfaces/int_atanh.h new file mode 100644 index 00000000..492fa746 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/interfaces/int_atanh.h @@ -0,0 +1,42 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +/* THIS IS AN AUTOMATICALLY GENERATED FILE : DO NOT EDIT BY HAND. */ + +#ifndef __INT_ATANH_H__ +#define __INT_ATANH_H__ + +#define s0atanhs0(in) satanhs(in) + +#define s0atanhc0(in) catanhs(FloatComplex(in,0)) + +#define d0atanhd0(in) datanhs(in) + +#define d0atanhz0(in) zatanhs(DoubleComplex(in,0)) + +#define c0atanhc0(in) catanhs(in) + +#define z0atanhz0(in) zatanhs(in) + +#define s2atanhs2(in,size,out) satanha(in, size[0]*size[1], out) + +#define s2atanhc2(in,size,out) catanha(FloatComplexMatrix(in,0), size[0]*size[1], out) + +#define d2atanhd2(in,size,out) datanha(in, size[0]*size[1], out) + +#define d2atanhz2(in,size,out) zatanha(DoubleComplexMatrix(in,0), size[0]*size[1], out) + +#define c2atanhc2(in,size,out) catanha(in, size[0]*size[1], out) + +#define z2atanhz2(in,size,out) zatanha(in, size[0]*size[1], out) + +#endif /* !__INT_ATANH_H__ */ diff --git a/2.3-1/src/c/elementaryFunctions/interfaces/int_ceil.h b/2.3-1/src/c/elementaryFunctions/interfaces/int_ceil.h new file mode 100644 index 00000000..918dd5a0 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/interfaces/int_ceil.h @@ -0,0 +1,34 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +/* THIS IS AN AUTOMATICALLY GENERATED FILE : DO NOT EDIT BY HAND. */ + +#ifndef __INT_CEIL_H__ +#define __INT_CEIL_H__ + +#define s0ceils0(in) sceils(in) + +#define d0ceild0(in) dceils(in) + +#define c0ceilc0(in) cceils(in) + +#define z0ceilz0(in) zceils(in) + +#define s2ceils2(in,size,out) sceila(in, size[0]*size[1], out) + +#define d2ceild2(in,size,out) dceila(in, size[0]*size[1], out) + +#define c2ceilc2(in,size,out) cceila(in, size[0]*size[1], out) + +#define z2ceilz2(in,size,out) zceila(in, size[0]*size[1], out) + +#endif /* !__INT_CEIL_H__ */ diff --git a/2.3-1/src/c/elementaryFunctions/interfaces/int_cos.h b/2.3-1/src/c/elementaryFunctions/interfaces/int_cos.h new file mode 100644 index 00000000..647bff6c --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/interfaces/int_cos.h @@ -0,0 +1,34 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +/* THIS IS AN AUTOMATICALLY GENERATED FILE : DO NOT EDIT BY HAND. */ + +#ifndef __INT_COS_H__ +#define __INT_COS_H__ + +#define s0coss0(in) scoss(in) + +#define d0cosd0(in) dcoss(in) + +#define c0cosc0(in) ccoss(in) + +#define z0cosz0(in) zcoss(in) + +#define s2coss2(in,size,out) scosa(in, size[0]*size[1], out) + +#define d2cosd2(in,size,out) dcosa(in, size[0]*size[1], out) + +#define c2cosc2(in,size,out) ccosa(in, size[0]*size[1], out) + +#define z2cosz2(in,size,out) zcosa(in, size[0]*size[1], out) + +#endif /* !__INT_COS_H__ */ diff --git a/2.3-1/src/c/elementaryFunctions/interfaces/int_cosh.h b/2.3-1/src/c/elementaryFunctions/interfaces/int_cosh.h new file mode 100644 index 00000000..28915ca3 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/interfaces/int_cosh.h @@ -0,0 +1,34 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +/* THIS IS AN AUTOMATICALLY GENERATED FILE : DO NOT EDIT BY HAND. */ + +#ifndef __INT_COSH_H__ +#define __INT_COSH_H__ + +#define s0coshs0(in) scoshs(in) + +#define d0coshd0(in) dcoshs(in) + +#define c0coshc0(in) ccoshs(in) + +#define z0coshz0(in) zcoshs(in) + +#define s2coshs2(in,size,out) scosha(in, size[0]*size[1], out) + +#define d2coshd2(in,size,out) dcosha(in, size[0]*size[1], out) + +#define c2coshc2(in,size,out) ccosha(in, size[0]*size[1], out) + +#define z2coshz2(in,size,out) zcosha(in, size[0]*size[1], out) + +#endif /* !__INT_COSH_H__ */ diff --git a/2.3-1/src/c/elementaryFunctions/interfaces/int_exp.h b/2.3-1/src/c/elementaryFunctions/interfaces/int_exp.h new file mode 100644 index 00000000..3727e3b6 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/interfaces/int_exp.h @@ -0,0 +1,34 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +/* THIS IS AN AUTOMATICALLY GENERATED FILE : DO NOT EDIT BY HAND. */ + +#ifndef __INT_EXP_H__ +#define __INT_EXP_H__ + +#define s0exps0(in) sexps(in) + +#define d0expd0(in) dexps(in) + +#define c0expc0(in) cexps(in) + +#define z0expz0(in) zexps(in) + +#define s2exps2(in,size,out) sexpa(in, size[0]*size[1], out) + +#define d2expd2(in,size,out) dexpa(in, size[0]*size[1], out) + +#define c2expc2(in,size,out) cexpa(in, size[0]*size[1], out) + +#define z2expz2(in,size,out) zexpa(in, size[0]*size[1], out) + +#endif /* !__INT_EXP_H__ */ diff --git a/2.3-1/src/c/elementaryFunctions/interfaces/int_exp10.h b/2.3-1/src/c/elementaryFunctions/interfaces/int_exp10.h new file mode 100644 index 00000000..6cd9f136 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/interfaces/int_exp10.h @@ -0,0 +1,34 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +/* THIS IS AN AUTOMATICALLY GENERATED FILE : DO NOT EDIT BY HAND. */ + +#ifndef __INT_EXP10_H__ +#define __INT_EXP10_H__ + +#define s0exp10s0(in) sexp10s(in) + +#define d0exp10d0(in) dexp10s(in) + +#define c0exp10c0(in) cexp10s(in) + +#define z0exp10z0(in) zexp10s(in) + +#define s2exp10s2(in,size,out) sexp10a(in, size[0]*size[1], out) + +#define d2exp10d2(in,size,out) dexp10a(in, size[0]*size[1], out) + +#define c2exp10c2(in,size,out) cexp10a(in, size[0]*size[1], out) + +#define z2exp10z2(in,size,out) zexp10a(in, size[0]*size[1], out) + +#endif /* !__INT_EXP10_H__ */ diff --git a/2.3-1/src/c/elementaryFunctions/interfaces/int_fix.h b/2.3-1/src/c/elementaryFunctions/interfaces/int_fix.h new file mode 100644 index 00000000..ac483c92 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/interfaces/int_fix.h @@ -0,0 +1,34 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +/* THIS IS AN AUTOMATICALLY GENERATED FILE : DO NOT EDIT BY HAND. */ + +#ifndef __INT_FIX_H__ +#define __INT_FIX_H__ + +#define s0fixs0(in) sfixs(in) + +#define d0fixd0(in) dfixs(in) + +#define c0fixc0(in) cfixs(in) + +#define z0fixz0(in) zfixs(in) + +#define s2fixs2(in,size,out) sfixa(in, size[0]*size[1], out) + +#define d2fixd2(in,size,out) dfixa(in, size[0]*size[1], out) + +#define c2fixc2(in,size,out) cfixa(in, size[0]*size[1], out) + +#define z2fixz2(in,size,out) zfixa(in, size[0]*size[1], out) + +#endif /* !__INT_FIX_H__ */ diff --git a/2.3-1/src/c/elementaryFunctions/interfaces/int_floor.h b/2.3-1/src/c/elementaryFunctions/interfaces/int_floor.h new file mode 100644 index 00000000..548c5e2a --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/interfaces/int_floor.h @@ -0,0 +1,34 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +/* THIS IS AN AUTOMATICALLY GENERATED FILE : DO NOT EDIT BY HAND. */ + +#ifndef __INT_FLOOR_H__ +#define __INT_FLOOR_H__ + +#define s0floors0(in) sfloors(in) + +#define d0floord0(in) dfloors(in) + +#define c0floorc0(in) cfloors(in) + +#define z0floorz0(in) zfloors(in) + +#define s2floors2(in,size,out) sfloora(in, size[0]*size[1], out) + +#define d2floord2(in,size,out) dfloora(in, size[0]*size[1], out) + +#define c2floorc2(in,size,out) cfloora(in, size[0]*size[1], out) + +#define z2floorz2(in,size,out) zfloora(in, size[0]*size[1], out) + +#endif /* !__INT_FLOOR_H__ */ diff --git a/2.3-1/src/c/elementaryFunctions/interfaces/int_int.h b/2.3-1/src/c/elementaryFunctions/interfaces/int_int.h new file mode 100644 index 00000000..b40811ad --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/interfaces/int_int.h @@ -0,0 +1,34 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +/* THIS IS AN AUTOMATICALLY GENERATED FILE : DO NOT EDIT BY HAND. */ + +#ifndef __INT_INT_H__ +#define __INT_INT_H__ + +#define s0ints0(in) sints(in) + +#define d0intd0(in) dints(in) + +#define c0intc0(in) cints(in) + +#define z0intz0(in) zints(in) + +#define s2ints2(in,size,out) sinta(in, size[0]*size[1], out) + +#define d2intd2(in,size,out) dinta(in, size[0]*size[1], out) + +#define c2intc2(in,size,out) cinta(in, size[0]*size[1], out) + +#define z2intz2(in,size,out) zinta(in, size[0]*size[1], out) + +#endif /* !__INT_INT_H__ */ diff --git a/2.3-1/src/c/elementaryFunctions/interfaces/int_lnp1m1.h b/2.3-1/src/c/elementaryFunctions/interfaces/int_lnp1m1.h new file mode 100644 index 00000000..0a745112 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/interfaces/int_lnp1m1.h @@ -0,0 +1,26 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +/* THIS IS AN AUTOMATICALLY GENERATED FILE : DO NOT EDIT BY HAND. */ + +#ifndef __INT_LNP1M1_H__ +#define __INT_LNP1M1_H__ + +/* +** Compute v = log ( (1 + s)/(1 - s) ) for different types . +*/ + +#define s0lnp1m1s0(in1) slnp1m1s(in1) + +#define d0lnp1m1d0(in1) dlnp1m1s(in1) + +#endif /* !__INT_LNP1M1_H__ */ diff --git a/2.3-1/src/c/elementaryFunctions/interfaces/int_log.h b/2.3-1/src/c/elementaryFunctions/interfaces/int_log.h new file mode 100644 index 00000000..d7f19fee --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/interfaces/int_log.h @@ -0,0 +1,42 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +/* THIS IS AN AUTOMATICALLY GENERATED FILE : DO NOT EDIT BY HAND. */ + +#ifndef __INT_LOG_H__ +#define __INT_LOG_H__ + +#define s0logs0(in) slogs(in) + +#define s0logc0(in) clogs(FloatComplex(in,0)) + +#define d0logd0(in) dlogs(in) + +#define d0logz0(in) zlogs(DoubleComplex(in,0)) + +#define c0logc0(in) clogs(in) + +#define z0logz0(in) zlogs(in) + +#define s2logs2(in,size,out) sloga(in, size[0]*size[1], out) + +#define s2logc2(in,size,out) cloga(FloatComplexMatrix(in,0), size[0]*size[1], out) + +#define d2logd2(in,size,out) dloga(in, size[0]*size[1], out) + +#define d2logz2(in,size,out) zloga(DoubleComplexMatrix(in,0), size[0]*size[1], out) + +#define c2logc2(in,size,out) cloga(in, size[0]*size[1], out) + +#define z2logz2(in,size,out) zloga(in, size[0]*size[1], out) + +#endif /* !__INT_LOG_H__ */ diff --git a/2.3-1/src/c/elementaryFunctions/interfaces/int_log10.h b/2.3-1/src/c/elementaryFunctions/interfaces/int_log10.h new file mode 100644 index 00000000..85d5ddeb --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/interfaces/int_log10.h @@ -0,0 +1,42 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +/* THIS IS AN AUTOMATICALLY GENERATED FILE : DO NOT EDIT BY HAND. */ + +#ifndef __INT_LOG10_H__ +#define __INT_LOG10_H__ + +#define s0log10s0(in) slog10s(in) + +#define s0log10c0(in) clog10s(FloatComplex(in,0)) + +#define d0log10d0(in) dlog10s(in) + +#define d0log10z0(in) zlog10s(DoubleComplex(in,0)) + +#define c0log10c0(in) clog10s(in) + +#define z0log10z0(in) zlog10s(in) + +#define s2log10s2(in,size,out) slog10a(in, size[0]*size[1], out) + +#define s2log10c2(in,size,out) clog10a(FloatComplexMatrix(in,0), size[0]*size[1], out) + +#define d2log10d2(in,size,out) dlog10a(in, size[0]*size[1], out) + +#define d2log10z2(in,size,out) zlog10a(DoubleComplexMatrix(in,0), size[0]*size[1], out) + +#define c2log10c2(in,size,out) clog10a(in, size[0]*size[1], out) + +#define z2log10z2(in,size,out) zlog10a(in, size[0]*size[1], out) + +#endif /* !__INT_LOG10_H__ */ diff --git a/2.3-1/src/c/elementaryFunctions/interfaces/int_log1p.h b/2.3-1/src/c/elementaryFunctions/interfaces/int_log1p.h new file mode 100644 index 00000000..29f6fb3a --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/interfaces/int_log1p.h @@ -0,0 +1,41 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +/* THIS IS AN AUTOMATICALLY GENERATED FILE : DO NOT EDIT BY HAND. */ + +#ifndef __INT_LOG1p1P_H__ +#define __INT_LOG1p1P_H__ + +#define s0log1ps0(in) slog1ps(in) + +#define s0log1pc0(in) clog1ps(FloatComplex(in,0)) + +#define d0log1pd0(in) dlog1ps(in) + +#define d0log1pz0(in) zlog1ps(DoubleComplex(in,0)) + +#define c0log1pc0(in) clog1ps(in) + +#define z0log1pz0(in) zlog1ps(in) + +#define s2log1ps2(in,size,out) slog1pa(in, size[0]*size[1], out) + +#define s2log1pc2(in,size,out) clog1pa(FloatComplexMatrix(in,0), size[0]*size[1], out) + +#define d2log1pd2(in,size,out) dlog1pa(in, size[0]*size[1], out) + +#define d2log1pz2(in,size,out) zlog1pa(DoubleComplexMatrix(in,0), size[0]*size[1], out) + +#define c2log1pc2(in,size,out) clog1pa(in, size[0]*size[1], out) + +#define z2log1pz2(in,size,out) zlog1pa(in, size[0]*size[1], out) +#endif /* !__INT_LOG1p1P_H__ */ diff --git a/2.3-1/src/c/elementaryFunctions/interfaces/int_pow.h b/2.3-1/src/c/elementaryFunctions/interfaces/int_pow.h new file mode 100644 index 00000000..39f5e1ae --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/interfaces/int_pow.h @@ -0,0 +1,34 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +/* THIS IS AN AUTOMATICALLY GENERATED FILE : DO NOT EDIT BY HAND. */ + +#ifndef __INT_OPDOTHAT_H__ +#define __INT_OPDOTHAT_H__ + +#define s0s0OpDotHats0(in1, in2) spows(in1, in2) + +#define d0d0OpDotHatd0(in1, in2) dpows(in1, in2) + +#define c0c0OpDotHatc0(in1, in2) cpows(in1, in2) + +#define z0z0OpDotHatz0(in1, in2) zpows(in1, in2) + +#define s2s0OpDotHats2(in1, size, in2, out) spowa(in1, size[0]*size[1], in2, out) + +#define d2d0OpDotHatd2(in1, size, in2, out) dpowa(in1, size[0]*size[1], in2, out) + +#define c2c0OpDotHatc2(in1, size, in2, out) cpowa(in1, size[0]*size[1], in2, out) + +#define z2z0OpDotHatz2(in1, size, in2, out) zpowa(in1, size[0]*size[1], in2, out) + +#endif /* !__INT_OPDOTHAT_H__ */ diff --git a/2.3-1/src/c/elementaryFunctions/interfaces/int_round.h b/2.3-1/src/c/elementaryFunctions/interfaces/int_round.h new file mode 100644 index 00000000..a5da230c --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/interfaces/int_round.h @@ -0,0 +1,34 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +/* THIS IS AN AUTOMATICALLY GENERATED FILE : DO NOT EDIT BY HAND. */ + +#ifndef __INT_ROUND_H__ +#define __INT_ROUND_H__ + +#define s0rounds0(in) srounds(in) + +#define d0roundd0(in) drounds(in) + +#define c0roundc0(in) crounds(in) + +#define z0roundz0(in) zrounds(in) + +#define s2rounds2(in,size,out) srounda(in, size[0]*size[1], out) + +#define d2roundd2(in,size,out) drounda(in, size[0]*size[1], out) + +#define c2roundc2(in,size,out) crounda(in, size[0]*size[1], out) + +#define z2roundz2(in,size,out) zrounda(in, size[0]*size[1], out) + +#endif /* !__INT_ROUND_H__ */ diff --git a/2.3-1/src/c/elementaryFunctions/interfaces/int_sin.h b/2.3-1/src/c/elementaryFunctions/interfaces/int_sin.h new file mode 100644 index 00000000..556281a5 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/interfaces/int_sin.h @@ -0,0 +1,34 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +/* THIS IS AN AUTOMATICALLY GENERATED FILE : DO NOT EDIT BY HAND. */ + +#ifndef __INT_SIN_H__ +#define __INT_SIN_H__ + +#define s0sins0(in) ssins(in) + +#define d0sind0(in) dsins(in) + +#define c0sinc0(in) csins(in) + +#define z0sinz0(in) zsins(in) + +#define s2sins2(in,size,out) ssina(in, size[0]*size[1], out) + +#define d2sind2(in,size,out) dsina(in, size[0]*size[1], out) + +#define c2sinc2(in,size,out) csina(in, size[0]*size[1], out) + +#define z2sinz2(in,size,out) zsina(in, size[0]*size[1], out) + +#endif /* !__INT_SIN_H__ */ diff --git a/2.3-1/src/c/elementaryFunctions/interfaces/int_sinh.h b/2.3-1/src/c/elementaryFunctions/interfaces/int_sinh.h new file mode 100644 index 00000000..e0c930e9 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/interfaces/int_sinh.h @@ -0,0 +1,34 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +/* THIS IS AN AUTOMATICALLY GENERATED FILE : DO NOT EDIT BY HAND. */ + +#ifndef __INT_SINH_H__ +#define __INT_SINH_H__ + +#define s0sinhs0(in) ssinhs(in) + +#define d0sinhd0(in) dsinhs(in) + +#define c0sinhc0(in) csinhs(in) + +#define z0sinhz0(in) zsinhs(in) + +#define s2sinhs2(in,size,out) ssinha(in, size[0]*size[1], out) + +#define d2sinhd2(in,size,out) dsinha(in, size[0]*size[1], out) + +#define c2sinhc2(in,size,out) csinha(in, size[0]*size[1], out) + +#define z2sinhz2(in,size,out) zsinha(in, size[0]*size[1], out) + +#endif /* !__INT_SINH_H__ */ diff --git a/2.3-1/src/c/elementaryFunctions/interfaces/int_sqrt.h b/2.3-1/src/c/elementaryFunctions/interfaces/int_sqrt.h new file mode 100644 index 00000000..0efbca96 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/interfaces/int_sqrt.h @@ -0,0 +1,59 @@ +/* +** -*- C -*- +** +** int_sqrt.h +** Made by Raffaele Nutricato <raffaele.nutricato@tiscali.it> +** +** +** Copyright POLIBA 2008 +*/ +/* + 1. Search for sqrt in INIT_FillSCI2LibCDirs.sci + 2. Search for // --- Function List Class. --- in INIT_FillSCI2LibCDirs.sci + 3. You will find + PrintStringInfo('s0'+ArgSeparator+'s0',ClassFileName,'file','y'); + PrintStringInfo('s0'+ArgSeparator+'c0',ClassFileName,'file','y'); + PrintStringInfo('d0'+ArgSeparator+'d0',ClassFileName,'file','y'); + PrintStringInfo('d0'+ArgSeparator+'z0',ClassFileName,'file','y'); + PrintStringInfo('c0'+ArgSeparator+'c0',ClassFileName,'file','y'); + PrintStringInfo('z0'+ArgSeparator+'z0',ClassFileName,'file','y'); + + PrintStringInfo('s2'+ArgSeparator+'s2',ClassFileName,'file','y'); + PrintStringInfo('s2'+ArgSeparator+'c2',ClassFileName,'file','y'); + PrintStringInfo('d2'+ArgSeparator+'d2',ClassFileName,'file','y'); + PrintStringInfo('d2'+ArgSeparator+'z2',ClassFileName,'file','y'); + PrintStringInfo('c2'+ArgSeparator+'c2',ClassFileName,'file','y'); + PrintStringInfo('z2'+ArgSeparator+'z2',ClassFileName,'file','y'); + 4. These are all the functions to be implemented. + 5. According to functions available in src you have to generate the mapping between + functions in step3 and functions in src. +*/ + +#ifndef __INT_SQRT_H__ +#define __INT_SQRT_H__ + +#define s0sqrts0(in) ssqrts(in) +
+#define s0sqrtc0(in) csqrts(FloatComplex(in,0)) + +#define d0sqrtd0(in) dsqrts(in) +
+#define d0sqrtz0(in) zsqrts(DoubleComplex(in,0)) + +#define c0sqrtc0(in) csqrts(in) +
+#define z0sqrtz0(in) zsqrts(in) +
+#define s2sqrts2(in,size,out) ssqrta(in, size[0]*size[1], out) + +#define s2sqrtc2(in,size,out) csqrta(FloatComplexMatrix(in,0), size[0]*size[1], out) + +#define d2sqrtd2(in,size,out) dsqrta(in, size[0]*size[1], out) +
+#define d2sqrtz2(in,size,out) zsqrta(DoubleComplexMatrix(in,0), size[0]*size[1], out) + +#define c2sqrtc2(in,size,out) csqrta(in, size[0]*size[1], out) +
+#define z2sqrtz2(in,size,out) zsqrta(in, size[0]*size[1], out)
+ +#endif /* !__INT_SQRT_H__ */ diff --git a/2.3-1/src/c/elementaryFunctions/interfaces/int_tan.h b/2.3-1/src/c/elementaryFunctions/interfaces/int_tan.h new file mode 100644 index 00000000..c2c3df2e --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/interfaces/int_tan.h @@ -0,0 +1,34 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +/* THIS IS AN AUTOMATICALLY GENERATED FILE : DO NOT EDIT BY HAND. */ + +#ifndef __INT_TAN_H__ +#define __INT_TAN_H__ + +#define s0tans0(in) stans(in) + +#define d0tand0(in) dtans(in) + +#define c0tanc0(in) ctans(in) + +#define z0tanz0(in) ztans(in) + +#define s2tans2(in,size,out) stana(in, size[0]*size[1], out) + +#define d2tand2(in,size,out) dtana(in, size[0]*size[1], out) + +#define c2tanc2(in,size,out) ctana(in, size[0]*size[1], out) + +#define z2tanz2(in,size,out) ztana(in, size[0]*size[1], out) + +#endif /* !__INT_TAN_H__ */ diff --git a/2.3-1/src/c/elementaryFunctions/interfaces/int_tanh.h b/2.3-1/src/c/elementaryFunctions/interfaces/int_tanh.h new file mode 100644 index 00000000..1819d3a1 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/interfaces/int_tanh.h @@ -0,0 +1,34 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +/* THIS IS AN AUTOMATICALLY GENERATED FILE : DO NOT EDIT BY HAND. */ + +#ifndef __INT_TANH_H__ +#define __INT_TANH_H__ + +#define s0tanhs0(in) stanhs(in) + +#define d0tanhd0(in) dtanhs(in) + +#define c0tanhc0(in) ctanhs(in) + +#define z0tanhz0(in) ztanhs(in) + +#define s2tanhs2(in,size,out) stanha(in, size[0]*size[1], out) + +#define d2tanhd2(in,size,out) dtanha(in, size[0]*size[1], out) + +#define c2tanhc2(in,size,out) ctanha(in, size[0]*size[1], out) + +#define z2tanhz2(in,size,out) ztanha(in, size[0]*size[1], out) + +#endif /* !__INT_TANH_H__ */ diff --git a/2.3-1/src/c/elementaryFunctions/lnp1m1/Makefile.am b/2.3-1/src/c/elementaryFunctions/lnp1m1/Makefile.am new file mode 100644 index 00000000..16cd3465 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/lnp1m1/Makefile.am @@ -0,0 +1,56 @@ +## +## Scilab ( http://www.scilab.org/ ) - This file is part of Scilab +## Copyright (C) 2008-2008 - INRIA - Bruno JOFRET +## +## This file must be used under the terms of the CeCILL. +## This source file is licensed as described in the file COPYING, which +## you should have received as part of this distribution. 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00000000..7e1759be --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/lnp1m1/dlnp1m1s.c @@ -0,0 +1,77 @@ +/*
+ * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
+ * Copyright (C) 2008-2008 - INRIA - Bruno JOFRET
+ * Copyright (C) Bruno Pincon
+ *
+ * This file must be used under the terms of the CeCILL.
+ * This source file is licensed as described in the file COPYING, which
+ * you should have received as part of this distribution. The terms
+ * are also available at
+ * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt
+ *
+ */
+
+#include "lnp1m1.h"
+#include "abs.h"
+
+/*
+ PURPOSE : Compute v = log ( (1 + s)/(1 - s) )
+ for small s, this is for |s| < SLIM = 0.20
+
+ ALGORITHM :
+ 1/ if |s| is "very small" we use a truncated
+ taylor dvp (by keeping 3 terms) from :
+ 2 4 6
+ t = 2 * s * ( 1 + 1/3 s + 1/5 s + [ 1/7 s + ....] )
+ 2 4
+ t = 2 * s * ( 1 + 1/3 s + 1/5 s + er)
+
+ The limit E until we use this formula may be simply
+ gotten so that the negliged part er is such that :
+ 2 4
+ (#) er <= epsm * ( 1 + 1/3 s + 1/5 s ) for all |s|<= E
+
+ As er = 1/7 s^6 + 1/9 s^8 + ...
+ er <= 1/7 * s^6 ( 1 + s^2 + s^4 + ...) = 1/7 s^6/(1-s^2)
+
+ the inequality (#) is forced if :
+
+ 1/7 s^6 / (1-s^2) <= epsm * ( 1 + 1/3 s^2 + 1/5 s^4 )
+
+ s^6 <= 7 epsm * (1 - 2/3 s^2 - 3/15 s^4 - 1/5 s^6)
+
+ So that E is very near (7 epsm)^(1/6) (approximately 3.032d-3):
+
+ 2/ For larger |s| we used a minimax polynome :
+
+ yi = s * (2 + d3 s^3 + d5 s^5 .... + d13 s^13 + d15 s^15)
+
+ This polynome was computed (by some remes algorithm) following
+ (*) the sin(x) example (p 39) of the book :
+
+ "ELEMENTARY FUNCTIONS"
+ "Algorithms and implementation"
+ J.M. Muller (Birkhauser)
+
+ (*) without the additionnal raffinement to get the first coefs
+ very near floating point numbers)
+*/
+double dlnp1m1s(double Var)
+{
+ static double D3 = 0.66666666666672679472;
+ static double D5 = 0.39999999996176889299;
+ static double D7 = 0.28571429392829380980;
+ static double D9 = 0.22222138684562683797;
+ static double D11 = 0.18186349187499222459;
+ static double D13 = 0.15250315884469364710;
+ static double D15 = 0.15367270224757008114;
+ static double E = 3.032E-3;
+ static double C3 = 2.0/3.0;
+ static double C5 = 2.0/5.0;
+
+ double S2 = Var * Var;
+ if( dabss(Var) <= E)
+ return Var * (2 + S2 * (C3 + C5 * S2));
+ else
+ return Var * (2 + S2 * (D3 + S2 * (D5 + S2 * (D7 + S2 * (D9 + S2 * (D11 + S2 * (D13 + S2 * D15)))))));
+}
diff --git a/2.3-1/src/c/elementaryFunctions/lnp1m1/slnp1m1s.c b/2.3-1/src/c/elementaryFunctions/lnp1m1/slnp1m1s.c new file mode 100644 index 00000000..9940810c --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/lnp1m1/slnp1m1s.c @@ -0,0 +1,77 @@ +/*
+ * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
+ * Copyright (C) 2007-2008 - INRIA - Bruno JOFRET
+ * Copyright (C) Bruno Pincon
+ *
+ * This file must be used under the terms of the CeCILL.
+ * This source file is licensed as described in the file COPYING, which
+ * you should have received as part of this distribution. The terms
+ * are also available at
+ * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt
+ *
+ */
+
+#include "lnp1m1.h"
+#include "abs.h"
+
+/*
+ PURPOSE : Compute v = log ( (1 + s)/(1 - s) )
+ for small s, this is for |s| < SLIM = 0.20
+
+ ALGORITHM :
+ 1/ if |s| is "very small" we use a truncated
+ taylor dvp (by keeping 3 terms) from :
+ 2 4 6
+ t = 2 * s * ( 1 + 1/3 s + 1/5 s + [ 1/7 s + ....] )
+ 2 4
+ t = 2 * s * ( 1 + 1/3 s + 1/5 s + er)
+
+ The limit E until we use this formula may be simply
+ gotten so that the negliged part er is such that :
+ 2 4
+ (#) er <= epsm * ( 1 + 1/3 s + 1/5 s ) for all |s|<= E
+
+ As er = 1/7 s^6 + 1/9 s^8 + ...
+ er <= 1/7 * s^6 ( 1 + s^2 + s^4 + ...) = 1/7 s^6/(1-s^2)
+
+ the inequality (#) is forced if :
+
+ 1/7 s^6 / (1-s^2) <= epsm * ( 1 + 1/3 s^2 + 1/5 s^4 )
+
+ s^6 <= 7 epsm * (1 - 2/3 s^2 - 3/15 s^4 - 1/5 s^6)
+
+ So that E is very near (7 epsm)^(1/6) (approximately 3.032d-3):
+
+ 2/ For larger |s| we used a minimax polynome :
+
+ yi = s * (2 + d3 s^3 + d5 s^5 .... + d13 s^13 + d15 s^15)
+
+ This polynome was computed (by some remes algorithm) following
+ (*) the sin(x) example (p 39) of the book :
+
+ "ELEMENTARY FUNCTIONS"
+ "Algorithms and implementation"
+ J.M. Muller (Birkhauser)
+
+ (*) without the additionnal raffinement to get the first coefs
+ very near floating point numbers)
+*/
+float slnp1m1s(float Var)
+{
+ static float D3 = 0.66666666666672679472f;
+ static float D5 = 0.39999999996176889299f;
+ static float D7 = 0.28571429392829380980f;
+ static float D9 = 0.22222138684562683797f;
+ static float D11 = 0.18186349187499222459f;
+ static float D13 = 0.15250315884469364710f;
+ static float D15 = 0.15367270224757008114f;
+ static float E = 3.032E-3f;
+ static float C3 = 2.0f/3.0f;
+ static float C5 = 2.0f/5.0f;
+
+ float S2 = Var * Var;
+ if( sabss(Var) <= E)
+ return Var * (2 + S2 * (C3 + C5 * S2));
+ else
+ return Var * (2 + S2 * (D3 + S2 * (D5 + S2 * (D7 + S2 * (D9 + S2 * (D11 + S2 * (D13 + S2 * D15)))))));
+}
diff --git a/2.3-1/src/c/elementaryFunctions/lnp1m1/testDoubleLnp1m1.c b/2.3-1/src/c/elementaryFunctions/lnp1m1/testDoubleLnp1m1.c new file mode 100644 index 00000000..701d986c --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/lnp1m1/testDoubleLnp1m1.c @@ -0,0 +1,36 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "testLnp1m1.h" + +void dlnp1m1sTest(void) { + double value = 0; + double maxValue = 1; + double increment = 1e-3; + printf(">> Double scalar\n"); + while (value <= maxValue) + { + printf("dlnp1m1s(%e) = %e\n", value, dlnp1m1s(value)); + value += increment; + } +} + +int testLnp1m1(void) { + printf("\n>>>> Double Lnp1m1 Tests\n"); + dlnp1m1sTest(); + return 0; +} + +int main(void) { + assert(testLnp1m1() == 0); + return 0; +} diff --git a/2.3-1/src/c/elementaryFunctions/lnp1m1/testFloatLnp1m1.c b/2.3-1/src/c/elementaryFunctions/lnp1m1/testFloatLnp1m1.c new file mode 100644 index 00000000..d144c1bf --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/lnp1m1/testFloatLnp1m1.c @@ -0,0 +1,36 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "testLnp1m1.h" + +void slnp1m1sTest(void) { + float value = 0.0f; + float maxValue = 1.0f; + float increment = 1e-3f; + printf(">> Float scalar\n"); + while (value <= maxValue) + { + printf("slnp1m1s(%e) = %e\n", value, slnp1m1s(value)); + value += increment; + } +} + +int testLnp1m1(void) { + printf("\n>>>> Float Lnp1m1 Tests\n"); + slnp1m1sTest(); + return 0; +} + +int main(void) { + assert(testLnp1m1() == 0); + return 0; +} diff --git a/2.3-1/src/c/elementaryFunctions/lnp1m1/testLnp1m1.h b/2.3-1/src/c/elementaryFunctions/lnp1m1/testLnp1m1.h new file mode 100644 index 00000000..888a9238 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/lnp1m1/testLnp1m1.h @@ -0,0 +1,26 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#ifndef _TESTLNP1M1_H_ +#define _TESTLNP1M1_H_ + +#include <stdio.h> +#include <assert.h> +#include "lnp1m1.h" + +void slnp1m1sTest(void); + +void dlnp1m1sTest(void); + +int testLnp1m1(void); + +#endif /* ! _TESTLNP1M1_H_ */ diff --git a/2.3-1/src/c/elementaryFunctions/log/Makefile.am b/2.3-1/src/c/elementaryFunctions/log/Makefile.am new file mode 100644 index 00000000..6fd45c8b --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/log/Makefile.am @@ -0,0 +1,65 @@ +## +## Scilab ( http://www.scilab.org/ ) - This file is part of Scilab +## Copyright (C) 2008-2008 - INRIA - Bruno JOFRET +## +## This file must be used under the terms of the CeCILL. +## This source file is licensed as described in the file COPYING, which +## you should have received as part of this distribution. The terms +## are also available at +## http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt +## +## + +libLog_la_CFLAGS = -I $(top_builddir)/src/c/type \ + -I $(top_builddir)/src/c/auxiliaryFunctions/includes \ + -I $(top_builddir)/src/c/elementaryFunctions/includes \ + -I $(top_builddir)/src/c/operations/includes + +instdir = $(top_builddir)/lib + +pkglib_LTLIBRARIES = libLog.la + +libLog_la_SOURCES = $(HEAD) $(SRC) + +SRC = slogs.c \ + dlogs.c \ + clogs.c \ + zlogs.c \ + sloga.c \ + dloga.c \ + cloga.c \ + zloga.c + +HEAD = $(top_builddir)/elementaryFunctions/includes/log.h + +#### +# Checking Part +#### + +check_INCLUDES = -I $(top_builddir)/src/c/elementaryFunctions/includes \ + -I $(top_builddir)/src/c/type + +check_LDADD = $(top_builddir)/src/c/type/libDoubleComplex.la \ + $(top_builddir)/src/c/type/libFloatComplex.la \ + $(top_builddir)/src/c/operations/addition/libAddition.la \ + $(top_builddir)/src/fortran/lapack/libscilapack.la \ + 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$(check_LDADD) +testDoubleLog_SOURCES = testLog.h testDoubleLog.c +testDoubleLog_CFLAGS = $(check_INCLUDES) +testDoubleLog_LDADD = $(check_LDADD) +all: all-am + +.SUFFIXES: +.SUFFIXES: .c .lo .o .obj +$(srcdir)/Makefile.in: @MAINTAINER_MODE_TRUE@ $(srcdir)/Makefile.am $(am__configure_deps) + @for dep in $?; do \ + case '$(am__configure_deps)' in \ + *$$dep*) \ + ( cd $(top_builddir) && $(MAKE) $(AM_MAKEFLAGS) am--refresh ) \ + && { if test -f $@; then exit 0; else break; fi; }; \ + exit 1;; \ + esac; \ + done; \ + echo ' cd $(top_srcdir) && $(AUTOMAKE) --foreign src/c/elementaryFunctions/log/Makefile'; \ + $(am__cd) $(top_srcdir) && \ + $(AUTOMAKE) --foreign src/c/elementaryFunctions/log/Makefile +.PRECIOUS: Makefile +Makefile: $(srcdir)/Makefile.in $(top_builddir)/config.status + @case '$?' in \ + *config.status*) \ + cd $(top_builddir) && $(MAKE) $(AM_MAKEFLAGS) am--refresh;; \ + *) \ + echo ' cd $(top_builddir) && $(SHELL) ./config.status $(subdir)/$@ $(am__depfiles_maybe)'; \ + cd $(top_builddir) && $(SHELL) ./config.status $(subdir)/$@ $(am__depfiles_maybe);; \ + esac; + +$(top_builddir)/config.status: $(top_srcdir)/configure $(CONFIG_STATUS_DEPENDENCIES) + cd $(top_builddir) && $(MAKE) $(AM_MAKEFLAGS) am--refresh + +$(top_srcdir)/configure: @MAINTAINER_MODE_TRUE@ $(am__configure_deps) + cd $(top_builddir) && $(MAKE) $(AM_MAKEFLAGS) am--refresh +$(ACLOCAL_M4): @MAINTAINER_MODE_TRUE@ $(am__aclocal_m4_deps) + cd $(top_builddir) && $(MAKE) $(AM_MAKEFLAGS) am--refresh +$(am__aclocal_m4_deps): +install-pkglibLTLIBRARIES: $(pkglib_LTLIBRARIES) + @$(NORMAL_INSTALL) + test -z "$(pkglibdir)" || $(MKDIR_P) "$(DESTDIR)$(pkglibdir)" + @list='$(pkglib_LTLIBRARIES)'; test -n "$(pkglibdir)" || list=; \ + list2=; for p in $$list; do \ + if test -f $$p; then \ + list2="$$list2 $$p"; \ + else :; fi; \ + done; \ + test -z "$$list2" || { \ + echo " $(LIBTOOL) $(AM_LIBTOOLFLAGS) $(LIBTOOLFLAGS) --mode=install $(INSTALL) $(INSTALL_STRIP_FLAG) $$list2 '$(DESTDIR)$(pkglibdir)'"; \ + $(LIBTOOL) $(AM_LIBTOOLFLAGS) $(LIBTOOLFLAGS) --mode=install $(INSTALL) $(INSTALL_STRIP_FLAG) $$list2 "$(DESTDIR)$(pkglibdir)"; \ + } + +uninstall-pkglibLTLIBRARIES: + @$(NORMAL_UNINSTALL) + @list='$(pkglib_LTLIBRARIES)'; test -n "$(pkglibdir)" || list=; \ + for p in $$list; do \ + $(am__strip_dir) \ + echo " $(LIBTOOL) $(AM_LIBTOOLFLAGS) $(LIBTOOLFLAGS) --mode=uninstall rm -f '$(DESTDIR)$(pkglibdir)/$$f'"; \ + $(LIBTOOL) $(AM_LIBTOOLFLAGS) $(LIBTOOLFLAGS) --mode=uninstall rm -f "$(DESTDIR)$(pkglibdir)/$$f"; \ + done + +clean-pkglibLTLIBRARIES: + -test -z "$(pkglib_LTLIBRARIES)" || rm -f $(pkglib_LTLIBRARIES) + @list='$(pkglib_LTLIBRARIES)'; for p in $$list; do \ + dir="`echo $$p | sed -e 's|/[^/]*$$||'`"; \ + test "$$dir" != "$$p" || dir=.; \ + echo "rm -f \"$${dir}/so_locations\""; \ + rm -f "$${dir}/so_locations"; \ + done +libLog.la: $(libLog_la_OBJECTS) $(libLog_la_DEPENDENCIES) + $(libLog_la_LINK) -rpath $(pkglibdir) $(libLog_la_OBJECTS) $(libLog_la_LIBADD) $(LIBS) + +clean-checkPROGRAMS: + @list='$(check_PROGRAMS)'; test -n "$$list" || exit 0; \ + echo " rm -f" $$list; \ + rm -f $$list || exit $$?; \ + test -n "$(EXEEXT)" || exit 0; \ + list=`for p in $$list; do echo "$$p"; done | sed 's/$(EXEEXT)$$//'`; \ + echo " rm -f" $$list; \ + rm -f $$list +testDoubleLog$(EXEEXT): $(testDoubleLog_OBJECTS) $(testDoubleLog_DEPENDENCIES) + @rm -f testDoubleLog$(EXEEXT) + $(testDoubleLog_LINK) $(testDoubleLog_OBJECTS) $(testDoubleLog_LDADD) $(LIBS) +testFloatLog$(EXEEXT): $(testFloatLog_OBJECTS) $(testFloatLog_DEPENDENCIES) + @rm -f testFloatLog$(EXEEXT) + $(testFloatLog_LINK) $(testFloatLog_OBJECTS) $(testFloatLog_LDADD) $(LIBS) + +mostlyclean-compile: + -rm -f *.$(OBJEXT) + +distclean-compile: + -rm -f *.tab.c + +@AMDEP_TRUE@@am__include@ @am__quote@./$(DEPDIR)/libLog_la-cloga.Plo@am__quote@ +@AMDEP_TRUE@@am__include@ @am__quote@./$(DEPDIR)/libLog_la-clogs.Plo@am__quote@ +@AMDEP_TRUE@@am__include@ @am__quote@./$(DEPDIR)/libLog_la-dloga.Plo@am__quote@ +@AMDEP_TRUE@@am__include@ @am__quote@./$(DEPDIR)/libLog_la-dlogs.Plo@am__quote@ +@AMDEP_TRUE@@am__include@ @am__quote@./$(DEPDIR)/libLog_la-sloga.Plo@am__quote@ +@AMDEP_TRUE@@am__include@ @am__quote@./$(DEPDIR)/libLog_la-slogs.Plo@am__quote@ +@AMDEP_TRUE@@am__include@ @am__quote@./$(DEPDIR)/libLog_la-zloga.Plo@am__quote@ +@AMDEP_TRUE@@am__include@ @am__quote@./$(DEPDIR)/libLog_la-zlogs.Plo@am__quote@ +@AMDEP_TRUE@@am__include@ @am__quote@./$(DEPDIR)/testDoubleLog-testDoubleLog.Po@am__quote@ +@AMDEP_TRUE@@am__include@ @am__quote@./$(DEPDIR)/testFloatLog-testFloatLog.Po@am__quote@ + +.c.o: +@am__fastdepCC_TRUE@ $(COMPILE) -MT $@ -MD -MP -MF $(DEPDIR)/$*.Tpo -c -o $@ $< +@am__fastdepCC_TRUE@ $(am__mv) $(DEPDIR)/$*.Tpo $(DEPDIR)/$*.Po +@AMDEP_TRUE@@am__fastdepCC_FALSE@ source='$<' object='$@' libtool=no @AMDEPBACKSLASH@ +@AMDEP_TRUE@@am__fastdepCC_FALSE@ DEPDIR=$(DEPDIR) $(CCDEPMODE) $(depcomp) @AMDEPBACKSLASH@ +@am__fastdepCC_FALSE@ $(COMPILE) -c $< + +.c.obj: +@am__fastdepCC_TRUE@ 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+@am__fastdepCC_TRUE@ $(am__mv) $(DEPDIR)/libLog_la-clogs.Tpo $(DEPDIR)/libLog_la-clogs.Plo +@AMDEP_TRUE@@am__fastdepCC_FALSE@ source='clogs.c' object='libLog_la-clogs.lo' libtool=yes @AMDEPBACKSLASH@ +@AMDEP_TRUE@@am__fastdepCC_FALSE@ DEPDIR=$(DEPDIR) $(CCDEPMODE) $(depcomp) @AMDEPBACKSLASH@ +@am__fastdepCC_FALSE@ $(LIBTOOL) --tag=CC $(AM_LIBTOOLFLAGS) $(LIBTOOLFLAGS) --mode=compile $(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) $(libLog_la_CFLAGS) $(CFLAGS) -c -o libLog_la-clogs.lo `test -f 'clogs.c' || echo '$(srcdir)/'`clogs.c + +libLog_la-zlogs.lo: zlogs.c +@am__fastdepCC_TRUE@ $(LIBTOOL) --tag=CC $(AM_LIBTOOLFLAGS) $(LIBTOOLFLAGS) --mode=compile $(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) $(libLog_la_CFLAGS) $(CFLAGS) -MT libLog_la-zlogs.lo -MD -MP -MF $(DEPDIR)/libLog_la-zlogs.Tpo -c -o libLog_la-zlogs.lo `test -f 'zlogs.c' || echo '$(srcdir)/'`zlogs.c +@am__fastdepCC_TRUE@ $(am__mv) $(DEPDIR)/libLog_la-zlogs.Tpo 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/dev/null +++ b/2.3-1/src/c/elementaryFunctions/log/cloga.c @@ -0,0 +1,20 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2007-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "log.h" + +void cloga(floatComplex* in, int size, floatComplex* out) { + int i = 0; + for (i = 0; i < size; ++i) { + out[i] = clogs(in[i]); + } +} diff --git a/2.3-1/src/c/elementaryFunctions/log/clogs.c b/2.3-1/src/c/elementaryFunctions/log/clogs.c new file mode 100644 index 00000000..3b9f6911 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/log/clogs.c @@ -0,0 +1,65 @@ +/*
+ * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
+ * Copyright (C) 2007-2008 - INRIA - Bruno JOFRET
+ * Copyright (C) Bruno Pincon
+ *
+ * This file must be used under the terms of the CeCILL.
+ * This source file is licensed as described in the file COPYING, which
+ * you should have received as part of this distribution. The terms
+ * are also available at
+ * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt
+ *
+ */
+
+#include <math.h>
+#include "log.h"
+#include "lapack.h"
+#include "log1p.h"
+#include "pythag.h"
+
+floatComplex clogs(floatComplex in) {
+ static float sR2 = 1.41421356237309504f;
+
+ float _RealIn = creals(in);
+ float _ImgIn = cimags(in);
+
+ float _RealOut = 0;
+ float _ImgOut = 0;
+
+ float RMax = (float) getOverflowThreshold();
+ float LInf = sqrtf((float) getUnderflowThreshold());
+ float LSup = sqrtf(0.5f * RMax);
+
+ float AbsReal = fabsf(_RealIn);
+ float AbsImg = fabsf(_ImgIn);
+
+ _ImgOut = atan2f(_ImgIn, _RealIn);
+
+ if(_ImgIn > _RealIn)
+ {/* switch Real part and Imaginary part */
+ float Temp = AbsReal;
+ AbsReal = AbsImg;
+ AbsImg = Temp;
+ }
+
+ if((0.5 <= AbsReal) && (AbsReal <= sR2))
+ _RealOut = 0.5f * slog1ps((AbsReal - 1.0f) * (AbsReal + 1.0f) + AbsImg * AbsImg);
+ else if(LInf < AbsImg && AbsReal < LSup)
+ _RealOut = 0.5f * slogs(AbsReal * AbsReal + AbsImg * AbsImg);
+ else if(AbsReal > RMax)
+ _RealOut = AbsReal;
+ else
+ {
+ float Temp = spythags(AbsReal, AbsImg);
+ if(Temp <= RMax)
+ {
+ _RealOut = slogs(Temp);
+ }
+ else /* handle rare spurious overflow with : */
+ {
+ float Temp2 = AbsImg/AbsReal;
+ _RealOut = slogs(AbsReal) + 0.5f * slog1ps(Temp2 * Temp2);
+ }
+ }
+ return FloatComplex(_RealOut, _ImgOut);
+}
diff --git a/2.3-1/src/c/elementaryFunctions/log/dloga.c b/2.3-1/src/c/elementaryFunctions/log/dloga.c new file mode 100644 index 00000000..e5f7490d --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/log/dloga.c @@ -0,0 +1,20 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "log.h" + +void dloga(double* x, int size, double* y) { + int i = 0; + for (i = 0; i < size; ++i) { + y[i] = dlogs(x[i]); + } +} diff --git a/2.3-1/src/c/elementaryFunctions/log/dlogs.c b/2.3-1/src/c/elementaryFunctions/log/dlogs.c new file mode 100644 index 00000000..c75bef21 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/log/dlogs.c @@ -0,0 +1,18 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2007-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include <math.h> +#include "log.h" + +double dlogs(double in) { + return (log(in)); +} diff --git a/2.3-1/src/c/elementaryFunctions/log/sloga.c b/2.3-1/src/c/elementaryFunctions/log/sloga.c new file mode 100644 index 00000000..e6fab861 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/log/sloga.c @@ -0,0 +1,20 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2007-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "log.h" + +void sloga(float* in, int size, float* out) { + int i = 0; + for (i = 0; i < size; ++i) { + out[i] = slogs(in[i]); + } +} diff --git a/2.3-1/src/c/elementaryFunctions/log/slogs.c b/2.3-1/src/c/elementaryFunctions/log/slogs.c new file mode 100644 index 00000000..f8e7b61b --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/log/slogs.c @@ -0,0 +1,18 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2007-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include <math.h> +#include "log.h" + +float slogs(float in) { + return (logf(in)); +} diff --git a/2.3-1/src/c/elementaryFunctions/log/testDoubleLog.c b/2.3-1/src/c/elementaryFunctions/log/testDoubleLog.c new file mode 100644 index 00000000..89924830 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/log/testDoubleLog.c @@ -0,0 +1,956 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008 - INRIA - Arnaud TORSET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "testLog.h" + +#define SOURCE {0.3628176329657435417175,0.924179898109287023544,0.5243524145334959030151,\ +0.7886543427594006061554,0.6525151440873742103577,0.2477638195268809795380,\ +0.2364655844867229461670,0.7240293831564486026764,0.8278210600838065147400,\ +0.4287728047929704189301,0.4858888480812311172485,0.5923984018154442310333,\ +0.0949383648112416267395,0.1356843891553580760956,0.9917455688118934631348,\ +0.7212927364744246006012,0.0115638775750994682312,0.0211908905766904354095,\ +0.1524727698415517807007,0.9165380974300205707550,0.4467271203175187110901,\ +0.5868234331719577312469,0.1882771886885166168213,0.4196520284749567508698,\ +0.2730510598048567771912,0.7565603456459939479828,0.9378882069140672683716,\ +0.0586007428355515003204,0.5101847248151898384094,0.5031699347309768199921,\ +0.7783576548099517822266,0.6856653341092169284821,0.1381576983258128166199,\ +0.371037633623927831650,0.6366564910858869552612,0.4961673622019588947296,\ +0.2994064847007393836975,0.2392275254242122173309,0.5618183575570583343506,\ +0.3218038142658770084381,0.1082227518782019615173,0.1685282415710389614105,\ +0.8263800088316202163696,0.4923414406366646289825,0.7863734485581517219543,\ +0.6762332352809607982635,0.0258686169981956481934,0.3594204657711088657379,\ +0.3436427963897585868835,0.2824054299853742122650,0.1450859513133764266968,\ +0.0762176741845905780792,0.5220461571589112281799,0.6713762427680194377899,\ +0.0599394328892230987549,0.7267188713885843753815,0.2224657749757170677185,\ +0.3122289828024804592133,0.4435700643807649612427,0.3983507198281586170197,\ +0.1324583934620022773743,0.8820166247896850109100,0.5455272346735000610352,\ +0.2917219498194754123688,0.7739847479388117790222,0.3354639573954045772552,\ 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+0.113488640636205673218,0.4145256043411791324615,0.6172473421320319175720,\ +0.7440188056789338588715,0.9038409832864999771118,0.3976829168386757373810,\ +0.9472072543576359748840,0.2581262919120490550995,0.1955799385905265808105,\ +0.9381833248771727085114,0.4226356102153658866882,0.0937463282607495784760,\ +0.9977992679923772811890,0.2042182614095509052277,0.9455819511786103248596,\ +0.9336234177462756633759,0.9743702597916126251221,0.4100225553847849369049,\ +0.5125095760449767112732,0.0948633304797112941742,0.5688196588307619094849,\ +0.7322562676854431629181,0.8108531581237912178040,0.5459008770994842052460,\ +0.5022544711828231811523,0.7634959020651876926422,0.7354982374235987663269,\ +0.0699520572088658809662,0.6130836438387632369995,0.0965849910862743854523,\ +0.5439325878396630287170,0.9187005828134715557098,0.5072866193950176239014,\ +0.1335940570570528507233,0.8688194593414664268494,0.7999687767587602138519,\ +0.9879787657409906387329,0.7131399479694664478302,0.3067426951602101325989,\ +0.5431228461675345897675,0.7330236807465553283691,0.6498145484365522861481,\ +0.8018737239763140678406,0.2859625308774411678314,0.1894423719495534896851,\ +0.7794728656299412250519,0.5433104271069169044495,0.5268451268784701824188,\ +0.1533693112432956695557,0.6041304902173578739166,0.5948378806933760643005,\ +0.8857938847504556179047,0.0043053645640611648560,0.1302204323001205921173,\ +0.9758609728887677192688,0.9183407831005752086639,0.0624175965785980224609,\ +0.9939593323506414890289,0.4122588960453867912292,0.8258536770008504390717,\ +0.0376359503716230392456,0.4675730471499264240265,0.4759115139022469520569,\ +0.4060978214256465435028,0.0392968021333217620850,0.4401316107250750064850,\ +0.3316476037725806236267,0.0877817696891725063324,0.1150833908468484878540,\ +0.9667435702867805957794,0.8103649737313389778137,0.3928376468829810619354,\ +0.7880131229758262634277,0.4798596971668303012848,0.0270724548026919364929,\ +0.6701857983134686946869,0.5602217521518468856812,0.2564360727556049823761,\ +0.2626037681475281715393,0.4447338129393756389618,0.8522944338619709014893,\ +0.2347065494395792484283,0.3277532672509551048279,0.2253599218092858791351,\ +0.3468936551362276077271,0.7743145865388214588165,0.1285835551097989082336,\ +0.1156307714991271495819,0.2054340392351150512695,0.4535544612444937229156,\ +0.6516549764201045036316,0.0710035725496709346771,0.1265540253371000289917,\ +0.4974718545563519001007,0.0879269847646355628967,0.1462626229040324687958,\ +0.715134423226118087769,0.9305738122202455997467} + +#define RESULT {-1.0138549594808059506335,-0.0788485313675790222554,-0.6455912738997077182646,\ +-0.2374271494900490608870,-0.4269209307253117313685,-1.3952793271990111545477,\ +-1.4419526017799386696794,-0.3229233029497151630238,-0.1889582589621221220266,\ +-0.8468280928949678543205,-0.7217753888910144466351,-0.5235758944053595653756,\ +-2.354527389398466841186,-1.9974237581445692946147,-0.0082886876471943305572,\ +-0.3267102095711482134810,-4.459869041610169837497,-3.8541838794260296907623,\ +-1.8807692572941765440930,-0.0871516441756800402940,-0.8058073398690168698266,\ +-0.5330312996797691438289,-1.6698399941066854879068,-0.8683294147345963498452,\ +-1.2980964690333058886296,-0.2789729794097077220094,-0.0641245194730828693697,\ +-2.8370079061049158219987,-0.6729824133243695882811,-0.6868273235307851276588,\ +-0.2505691498856313370602,-0.3773656214470872405364,-1.9793595047655996310709,\ +-0.9914517831797942104544,-0.4515250293249062352174,-0.7008419853775434971155,\ +-1.205953148244055972427,-1.4303401906823356437570,-0.5765766885249945516989,\ +-1.1338131915858427056776,-2.2235636585360341044293,-1.7806519374711546888079,\ +-0.1907005521377241608061,-0.7085828181522180191365,-0.240323473997209546837,\ +-0.3912172398408133022762,-3.6547247438886865111840,-1.0232623619826317629133,\ +-1.0681525436893481995071,-1.264411545554370741584,-1.93042894450046809141,\ +-2.5741618985048786427683,-0.6499992713325659643431,-0.3984255796794416437656,\ +-2.8144206784459675496635,-0.3192155730871417684824,-1.502982009541258934249,\ +-1.1640184411209602011184,-0.8128995091446955534309,-0.9204224561330225373723,\ +-2.0214866944753584476757,-0.1255443741850884864508,-0.6060025488810325544620,\ +-1.231954157015291428934,-0.2562031110919770759971,-1.092240757863258915350,\ +-0.2073435333764902521736,-0.7738715719712579987899,-0.3713377296431035756719,\ +-0.0357265538888332026546,-0.1971863344268207918208,-1.2721063818886333418590,\ +-0.0127492850765575892191,-1.223497392724554932997,-0.7216267835832522736794,\ +-1.4929081951001816896962,-0.0423175999341945593968,-1.8944780628936490618486,\ +-3.8337127761178795282149,-2.6759270254015836698613,-0.0049411834200203501311,\ +-0.2785673796390666367984,-0.483865736386189515539,-2.446681086792801718133,\ +-0.6606074257995434573232,-1.651927892749795789840,-1.2239814994040887352611,\ +-1.0417910371382139711471,-2.026517124423018234580,-2.9011343997056400212387,\ +-0.0732671142462539837226,-0.3039567280501898061118,-0.2863606107139139989037,\ +-0.3725359507043504159185,-0.1204550575726043570857,-0.3722729288835950889336,\ +-0.1418966944811957953121,-0.2297229087732643171282,-1.3877929980613914473508,\ +-0.9325703042223095762253,-0.3150747190128889152483,-0.2372333033314831252092,\ +-2.1760525295696577785520,-0.8806205346832632896437,-0.4824854567490562962107,\ +-0.2956889680183093505050,-0.1011018375069230867958,-0.9221002825850308504130,\ +-0.0542373561426655603768,-1.3543063102932182406590,-1.6317860900845253535607,\ +-0.0638099067725128449302,-0.8612449127611128130155,-2.3671627801172654415041,\ +-0.0022031571770593774348,-1.5885659482121525787335,-0.0559547196755256631695,\ +-0.0686821150485829451382,-0.0259639040526286474231,-0.8915431076633286711086,\ +-0.6684358831783273613425,-2.3553180497276513527538,-0.5641918391516044239964,\ +-0.3116247338224413798713,-0.2096683039932461523058,-0.6053178634921361211951,\ +-0.6886483730214458809371,-0.2698475216395072595610,-0.3072071353764207479742,\ +-2.659945168598087494871,-0.4892539023727084379622,-2.3373319216128076725170,\ +-0.6089299592172232600262,-0.0847950173155939540548,-0.6786791108759814283857,\ +-2.0129495019748864237386,-0.1406199321004115432299,-0.2231825811274127380202,\ +-0.0120940736302183569906,-0.3380775973662459854552,-1.181746009333312530387,\ +-0.6104197485997391314783,-0.3105772710053884000381,-0.4310682668987352861301,\ +-0.2208041349135003439397,-1.25189448766300226445,-1.6636704065163092636226,\ +-0.2491374010581904052675,-0.6100744334370675758805,-0.6408486505219985751580,\ +-1.8749064671471911136535,-0.5039650609751163967687,-0.5194663799859419173188,\ +-0.1212709911627764675091,-5.4478934608177302933996,-2.038526631411456513376,\ +-0.0244351485261014196582,-0.0851867338269072515988,-2.7739080469083896574034,\ +-0.0060589862906551463645,-0.8861037385262900967220,-0.1913376676415258770270,\ +-3.2797955584796012473703,-0.7601996918711692030612,-0.7425233371947113081291,\ +-0.9011612089296217043000,-3.2366121340710831688625,-0.8206814815116268979622,\ +-1.1036823082060371881141,-2.4329014344197728014763,-2.1620982756055884266289,\ +-0.0338219993709664781822,-0.2102705479450195091840,-0.9343588647242980771424,\ +-0.2382405357403041268327,-0.7342615153765646995865,-3.609238495954611991579,\ +-0.4002002941250653034189,-0.5794225876492602456125,-1.36087587445700952671,\ +-1.337108967835097139698,-0.8102793489627861944768,-0.1598232322015146200656,\ +-1.449419270934711789778,-1.1154941876589379301521,-1.4900565023732303959747,\ +-1.05873701535465292167,-0.2557770454111949476328,-2.0511763516400991491651,\ +-2.1573531687271665369110,-1.5826302735280548539265,-0.7906399256902217898002,\ +-0.4282400343889684046772,-2.6450250856057104797969,-2.0670859842226763092299,\ +-0.6982162977399214431884,-2.4312485274946018520836,-1.9223514861397812403254,\ +-0.3352847494467096622905,-0.0719538807151878373469} + + +#define SOURCE2 {2.6395560009405016899109,4.1481037065386772155762,2.8064980218186974525452,\ +1.2800584640353918075562,7.7831285959109663963318,2.1190304495394229888916,\ +1.121354666538536548615,6.8568959552794694900513,1.5312166837975382804871,\ +6.970850601792335510254,8.4155184263363480567932,4.0620247554033994674683,\ +4.09482547547668218613,8.7841258011758327484131,1.1383596854284405708313,\ +1.9983377400785684585571,5.6186607433483004570007,5.8961773291230201721,\ +6.8539796629920601844788,8.9062247332185506820679,5.0422128057107329368591,\ +3.493615407496690750122,3.8737787725403904914856,9.2228986788541078567505,\ +9.4881842611357569694519,3.4353372454643249511719,3.7601187312975525856018,\ +7.3409405630081892013550,2.6157614728435873985291,4.99349383637309074402,\ +2.6385784195736050605774,5.25356308557093143463,5.3762298030778765678406,\ +1.1999255046248435974121,2.2563034901395440101624,6.2740930821746587753296,\ +7.6084325974807143211365,0.4855662025511264801025,6.7239497276023030281067,\ +2.017172696068882942200,3.911573919467628002167,8.3003165572881698608398,\ +5.8787201577797532081604,4.8291792999953031539917,2.2328650346025824546814,\ +8.4008856676518917083740,1.2059959070757031440735,2.8553641680628061294556,\ +8.6075146449729800224304,8.494101651012897491455,5.2570608118548989295959,\ +9.9312098976224660873413,6.4885628735646605491638,9.923190940171480178833,\ +0.5004197778180241584778,7.4855065811425447463989,4.1040589986369013786316,\ +6.0845263302326202392578,8.5442108893766999244690,0.6426467280834913253784,\ +8.279082938097417354584,9.2623437754809856414795,5.6672112690284848213196,\ +5.711638936772942543030,8.1601104838773608207703,0.5689279362559318542481,\ +5.5959366867318749427795,1.2493403162807226181030,7.279222286306321620941,\ +2.6777664758265018463135,5.4653349192813038825989,9.885407658293843269348,\ +7.3956565884873270988464,0.0371731072664260864258,5.9005728596821427345276,\ +3.096467358991503715515,2.5522057106718420982361,6.2518793903291225433350,\ +1.1574173765257000923157,6.1170040909200906753540,6.7839562846347689628601,\ +3.3200952783226966857910,0.2587099233642220497131,5.1744682248681783676147,\ +3.9168732380494475364685,2.4135384149849414825439,5.064434898085892200470,\ +4.2361020017415285110474,2.8937275288626551628113,0.8879321813583374023438,\ +6.2128817522898316383362,3.4549844544380903244019,7.0648676296696066856384,\ +5.2114724926650524139404,2.8704008506610989570618,6.502795079723000526428,\ +0.8813347620889544487000,4.498763345181941986084,7.2272530803456902503967,\ +8.9767962601035833358765,2.4278218811377882957458,4.3377211131155490875244,\ +9.6770532103255391120911,5.0685344357043504714966,5.2329764096066355705261,\ +5.5969475954771041870117,5.6173070007935166358948,4.68176002614200115204,\ +7.794546722434461116791,7.9010718129575252532959,9.8085420625284314155579,\ +8.1870661024004220962524,4.2568723810836672782898,2.4615605548024177551270,\ +9.2295324662700295448303,1.000745808705687522888,4.6782181179150938987732,\ +3.9504976756870746612549,0.3661171020939946174622,5.175368534401059150696,\ +8.3254515705630183219910,6.1048321425914764404297,1.8711117887869477272034,\ +0.1895748358219861984253,8.4335647663101553916931,0.7485948316752910614014,\ +8.5328151332214474678040,0.1245901081711053848267,1.8675393564626574516296,\ +4.920584075152873992920,7.4896081397309899330,9.414957007393240928650,\ +2.1240556007251143455505,5.7950199581682682037354,2.628147569485008716583,\ +4.3609866220504045486450,9.1105451015755534172058,8.0826673656702041625977,\ +8.1026530498638749122620,2.5904283951967954635620,4.1390872886404395103455,\ +3.599927779287099838257,6.91278793383389711380,7.6568587962538003921509,\ +3.572649653069674968720,7.6933998242020606994629,5.4776339093223214149475,\ +0.9622887428849935531616,9.5611717319115996360779,2.2074085660278797149658,\ +0.1432593585923314094544,8.1914897728711366653442,1.3049928424879908561707,\ +9.6820035576820373535156,6.5613814676180481910706,2.4455389659851789474487,\ +5.2831235667690634727478,8.4689256362617015838623,7.8766220854595303535461,\ +1.262082615867257118225,7.8838609857484698295593,3.4530424699187278747559,\ +2.6598573336377739906311,9.7098186518996953964233,8.8752476638182997703552,\ +2.066752854734659194946,8.5251609655097126960754,6.7446978110820055007935,\ +9.152874383144080638886,0.2848597615957260131836,2.367841475643217563629,\ +7.0153435599058866500854,1.2025266280397772789001,8.2874121330678462982178,\ +3.1610729591920971870422,5.30519076623022556305,5.715174819342792034149,\ +0.4780154302716255187988,8.2486197212710976600647,5.7988431211560964584351,\ +2.7918082987889647483826,9.5451109297573566436768,9.0711546363309025764465,\ +3.3601493109017610549927,1.1756130633875727653503,9.2537237703800201416016,\ +7.2636712575331330299377,9.0094979386776685714722,3.9489932497963309288025,\ +5.6551797501742839813232,7.0614896761253476142883,6.7878311965614557266235,\ +4.1329363686963915824890,1.402290873229503631592,4.9523561308160424232483,\ +4.1948772873729467391968,8.6262222891673445701599,2.8575096465647220611572,\ +2.5121363671496510505676,3.389101596549153327942} + + +#define RESULT2 {0.9706107215522056241852,1.4226512916310911638362,1.0319374505428213772973,\ +0.246905751916103338717,2.0519583905069445073366,0.7509586489514044060911,\ +0.1145374781176292794394,1.9252548546825831721208,0.4260626375542267973984,\ +1.9417372548863311987333,2.1300774331528766758481,1.4016815575274605976119,\ +1.4097240974656071177407,2.1729462062921069964716,0.1295883538042104654586,\ +0.6923157050192292327751,1.7260933336118711167728,1.7743042306089458204355,\ +1.9248294562744026059420,2.1867504404929474226549,1.6178450344817050243762,\ +1.2509371333857781660726,1.3542304576599399901227,2.2216893784894660157647,\ +2.2500472625069045662372,1.2341151000295289552611,1.3244505343759986892849,\ +1.993466976516135025221,0.9615552493321314342367,1.6081358323702796830901,\ +0.9702402946929443716684,1.658906529368289861637,1.6819873484154954645931,\ +0.1822594753876470019538,0.8137278503591067746470,1.8364289458354570161447,\ +2.0292571844941731384893,-0.7224396410182910566178,1.9056757389571916672,\ +0.7016968755690818904114,1.3639398299492546673406,2.1162936535075722588317,\ 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+-1.943098595033752262751,2.1030957827723826270017,0.2661975560760838632746,\ +2.2702688589706512267696,1.8812011703610473922765,0.8942655346201515698112,\ +1.6645175074163265360738,2.136403657202092354339,2.0638991426068855616904,\ +0.2327632262134610163784,2.0648177566830252516183,1.2392557177584351268962,\ +0.9782724873844932389488,2.273137605702431063293,2.183266240754464071472,\ +0.7259787064172199544387,2.1430219045760425800040,1.9087566867408878312773,\ +2.2140679701900434217521,-1.255758284393388990452,0.8619787703734573813819,\ +1.9480996873952269865526,0.1844248666526293323198,2.114737753111020968078,\ +1.1509115140149177580753,1.668685731123507043350,1.7431248863402162285752,\ +-0.7381122661087159420035,2.1100458798366994450646,1.7576584357875708608532,\ +1.0266895216506544131,2.2560290788762715763482,2.205099558817555038814,\ +1.2119854107561658373982,0.1617897676032789000544,2.2250260402856771868585,\ +1.9828853838780200469216,2.1982793473903963210603,1.373460672957984574083,\ +1.73257189512379894403,1.9546560315313432631967,1.9151314791431239825670,\ +1.4189881394992434060498,0.3381072372999247011016,1.5998634493586285643119,\ +1.4338640873752146465137,2.15480666756291494579,1.0499504925567986202140,\ +0.9211335334181942613441,1.2205648705022635880368} + + +#define ZSOURCER {0.3140813848003745079041,0.5769402063451707363129,0.1306138429790735244751,\ +0.0478980806656181812286,0.4500174494460225105286,0.0384718659333884716034,\ +0.483350999653339385986,0.2981918179430067539215,0.7112689120694994926453,\ +0.9268360524438321590424,0.9477838929742574691772,0.1729496796615421772003,\ +0.2750928336754441261292,0.0044281478039920330048,0.0611358620226383209229,\ +0.1950612799264490604401,0.3789803450927138328552,0.2549188635312020778656,\ +0.1764185149222612380981,0.6008180272765457630157,0.3703392641618847846985,\ +0.2908470141701400279999,0.5384815335273742675781,0.8090293356217443943024,\ +0.9260985879227519035339,0.1576966657303273677826,0.9518593531101942062378,\ +0.2709982101805508136749,0.1609848598018288612366,0.8782086591236293315887,\ +0.5091647170484066009521,0.7951062084175646305084,0.8432204117998480796814,\ +0.5806765086017549037933,0.3487791065126657485962,0.9397577759809792041779,\ +0.4363934816792607307434,0.5549766751937568187714,0.9105900451540946960449,\ +0.5684339576400816440582,0.1862502051517367362976,0.0800832151435315608978,\ +0.6585252787917852401733,0.1606054832227528095245,0.9711584830656647682190,\ +0.3668168033473193645477,0.7386338301002979278564,0.9722552285529673099518,\ +0.1349937235936522483826,0.4595781317912042140961,0.5414639282971620559692,\ +0.6397600513882935047150,0.0211964594200253486633,0.4408156829886138439178,\ +0.6374878138303756713867,0.3208820023573935031891,0.4267518399283289909363,\ +0.7819778784178197383881,0.0543234180659055709839,0.9666189108975231647491,\ +0.6948409983888268470764,0.1846996019594371318817,0.3645029179751873016357,\ +0.8176643461920320987701,0.664914294146001338959,0.7559730983339250087738,\ +0.5525381658226251602173,0.7192269531078636646271,0.1989364298060536384583,\ +0.8610532465390861034393,0.1300329938530921936035,0.347959163133054971695,\ +0.5025534434244036674500,0.4978472082875669002533,0.4675923939794301986694,\ +0.9447452803142368793488,0.9599315756931900978088,0.5365384514443576335907,\ +0.8122785724699497222900,0.6470989421941339969635,0.7010180121287703514099,\ +0.6681951484642922878265,0.9593638796359300613403,0.0149199557490646839142,\ +0.6199735002592206001282,0.4061129498295485973358,0.0471306145191192626953,\ +0.8433605083264410495758,0.0635268418118357658386,0.9836421324871480464935,\ +0.4434677045792341232300,0.8565507535822689533234,0.9080012599006295204163,\ 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+0.9679268277250230312347,0.3924236092716455459595,0.717360940296202898026,\ +0.8640465112403035163879,0.7354763629846274852753,0.0304915383458137512207,\ +0.6331009590066969394684,0.4550241930410265922546,0.3173553734086453914642,\ +0.8250397499650716781616,0.2725940425880253314972,0.3458735281601548194885,\ +0.5352854127995669841766,0.7017193175852298736572,0.9817278520204126834869,\ +0.2777477568015456199646,0.1314821145497262477875,0.366813333705067634583,\ +0.7377605927176773548126,0.9103105561807751655579,0.3637479650788009166718,\ +0.8207867145538330078125,0.3059372254647314548492,0.9788405327126383781433,\ +0.9970494522713124752045,0.4636328797787427902222,0.7769650523550808429718,\ +0.3400075891986489295959,0.0353285889141261577606,0.2607673071324825286865,\ +0.5790986777283251285553,0.1250711670145392417908,0.0372988111339509487152,\ +0.9382179621607065200806,0.5585843441076576709747,0.7192503632977604866028,\ +0.3599752518348395824432,0.6758626028895378112793,0.2222136431373655796051,\ +0.7860159231349825859070,0.1736893891356885433197,0.2674629595130681991577,\ +0.7357366015203297138214,0.0550541067495942115784,0.5923380698077380657196,\ +0.2162457890808582305908,0.7718841419555246829987,0.0926524316892027854919,\ +0.7626169077120721340179,0.7347808051854372024536,0.8017499190755188465118,\ +0.7732572900131344795227,0.2559880572371184825897,0.1179054826498031616,\ +0.9232815303839743137360,0.6709534404799342155457,0.6071323617361485958099,\ +0.4574467372149229049683,0.8206311021931469440460,0.0896153757348656654358,\ +0.3426358769647777080536,0.1674894802272319793701,0.9481152505613863468170,\ +0.9504805644974112510681,0.3436607695184648036957,0.2889420483261346817017,\ +0.5325344172306358814240,0.2558945687487721443176,0.8863505902700126171112,\ +0.0421485081315040588379,0.4876015805639326572418} + +#define ZSOURCEI {0.347978035919368267059,0.2037199228070676326752,0.5962978359311819076538,\ +0.8342303414829075336456,0.6809655660763382911682,0.9127784068696200847626,\ +0.5243799723684787750244,0.7204323844052851200104,0.3259664541110396385193,\ +0.1506391367875039577484,0.9124387521296739578247,0.6345743131823837757111,\ +0.9268973069265484809875,0.7633614349178969860077,0.5918717086315155029297,\ +0.9057438620366156101227,0.3263365356251597404480,0.3912780000828206539154,\ +0.4635267537087202072144,0.0849754814989864826202,0.5800507226958870887756,\ +0.7945564310066401958466,0.3823457323014736175537,0.3010852993465960025787,\ +0.5789428642019629478455,0.2627451247535645961761,0.5713048521429300308228,\ +0.1848654565401375293732,0.9971724869683384895325,0.4520535501651465892792,\ +0.0334019884467124938965,0.4553878181613981723785,0.7851976407691836357117,\ +0.4941168962977826595306,0.9304408635944128036499,0.7621670593507587909698,\ 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+0.5514106499031186103821,0.7882929998449981212616,0.8028824776411056518555,\ +0.2425694861449301242828,0.7024780390784144401550,0.0922905071638524532318,\ +0.4318286012858152389526,0.0804965649731457233429,0.7126307198777794837952,\ +0.6893844078294932842255,0.2756213061511516571045,0.6968217701651155948639,\ +0.4598932703956961631775,0.6099067903123795986176,0.3065654132515192031860,\ +0.0749373403377830982208,0.9619921119883656501770,0.4158898773603141307831,\ +0.3287452235817909240723,0.7406168007291853427887,0.5725225014612078666687,\ +0.9504556744359433650970,0.1849336978048086166382,0.8698030491359531879425,\ +0.6907873982563614845276,0.9524399931542575359344,0.6490485109388828277588,\ +0.9960058168508112430573,0.2040582066401839256287,0.3800008497200906276703,\ +0.9729049820452928543091,0.9110585046000778675079,0.3810073928907513618469,\ +0.7869612383656203746796,0.5560158789157867431641,0.8529843934811651706696,\ +0.4350629774853587150574,0.5956362797878682613373,0.7071880977600812911987,\ +0.5747222309000790119171,0.4764349022880196571350,0.6098947445861995220184,\ +0.9666662178933620452881,0.3874611915089190006256,0.0715632727369666099548,\ +0.6122049516998231410980,0.9575729314237833023071,0.7723352131433784961700,\ +0.1287384750321507453918,0.3884150418452918529510,0.2353963479399681091309,\ +0.6542267077602446079254,0.3286431683227419853210,0.024017625954002141953,\ +0.1042741741985082626343,0.9314296473748981952667,0.8185661518946290016174,\ +0.8156488086096942424774,0.8688247688114643096924,0.3549220249988138675690,\ +0.3890381073579192161560,0.6415715864859521389008,0.4902750719338655471802,\ +0.3509976905770599842072,0.8516392158344388008118,0.1348936217837035655975,\ +0.1156354099512100219727,0.8810075619257986545563,0.8367286501452326774597,\ +0.5032693906687200069427,0.4486711751669645309448,0.9319602106697857379913,\ +0.7298459419980645179749,0.3388367067091166973114,0.4314213804900646209717,\ +0.7317318231798708438873,0.9655342241749167442322,0.2621376193128526210785,\ +0.2050140891224145889282,0.2826355365104973316193,0.3973353477194905281067,\ +0.7437736871652305126190,0.8185287192463874816895,0.3071001493372023105621,\ +0.9627068741247057914734,0.9475456266663968563080,0.6546552237123250961304,\ +0.1992082078941166400909,0.3616109425202012062073,0.9388273353688418865204,\ +0.0409001447260379791260,0.0758434669114649295807} + +#define ZRESULTR {-0.7576646139762764908809,-0.4912662732014974609207,-0.4935831983604013761813,\ +-0.1796001444111503253520,-0.2030603062114124668369,-0.0903746939402042676059,\ +-0.3380442117380291211504,-0.2488385719103628768156,-0.2453827611475934422636,\ +-0.0629419446509737884332,0.2743030686751847802007,-0.4189753318430110562431,\ +-0.0337034837449739430038,-0.2700068328094388236948,-0.5191589716059612502619,\ +-0.0763304013057857499991,-0.6929039668216129266298,-0.7614418400301237177530,\ +-0.7012514181881327468560,-0.4995602487864141960650,-0.3736855282655331400576,\ +-0.1670990767606896909570,-0.4148838171877601843640,-0.1470641870540525808497,\ +0.0881657571965975273010,-1.1827451998005302780115,0.1044920740886167709327,\ +-1.1145963776166571967963,0.0100332050022288142566,-0.0123498399546466911675,\ +-0.6728365416861274983518,-0.0874315516128119363248,0.1416698281269971604335,\ +-0.2712125731855208887744,-0.0063567040970050154788,0.1906009971260032298535,\ +0.0238331967155752874610,-0.0953429917974444041118,-0.0065067191893498198957,\ +0.0440644425532304637172,-0.3540655459766552382028,-0.1661126167793314234444,\ +0.0062509933701612868662,-0.1693877982336349785619,-0.0292579566847096204929,\ +0.0137816953226981269570,-0.0288761524361324552201,-0.0250652390791611112686,\ +-0.7581745137578204118967,-0.7505545612383084375097,-0.0046973071232757198853,\ +-0.3406170651999906873186,-2.0764518222153585114143,-0.8157393323281721952966,\ +-0.0852474852363154095292,0.0348077956215509243254,-0.8387202021909221372198,\ +-0.0663540586103768398329,-0.9554969196553003696337,-0.0212599130834864695483,\ +-0.0245601140031842454792,-1.6679899099681032570430,-0.4509584277017124609443,\ +0.1011698547763601602201,-0.2120439010955574854478,-0.1131958883879479044188,\ +0.0199327284817682297280,0.0781443465987670671247,-0.3004592565973881468366,\ +-0.1451799924584522560878,-0.5281452333714923286223,-0.0505933914241510074294,\ +-0.2819958038859460280889,-0.122323084811984963971,-0.2632782651610236501760,\ +-0.0540558326414990047981,0.2512879183645665981395,-0.1214932149359973512226,\ +0.0055773659320434761794,0.0673704632706614986448,-0.2906343733694730646633,\ +0.0851020319327377705587,0.0365640112295984101576,-1.0976622196833336619903,\ +-0.4020870876485082012763,-0.3719849821436939651953,-0.3158125612041708385469,\ +0.2324359424588408329360,-1.5742845766045041600023,-0.0033130260706617652329,\ +-0.1069329039454427060507,-0.1341564770393289252048,-0.0510429776001832605226,\ +-0.3847912680433241972011,-0.9153668051115183557087,-0.3798345871473772783489,\ +-0.6590618454479428844905,-0.0755413642077243097095,0.0808833545731707098669,\ +-0.417646722764209388234,-0.8522405945532404158982,0.1463133685463073596633,\ +-0.2416082657366604991012,0.0219217192558878656850,-0.8077093656959043466159,\ +-0.1128924015633438332484,-0.3996389102953575300781,-0.9892317511551623754329,\ +-0.5874413267393940873973,-0.1422192352759769073955,-0.1954743580270074387872,\ +-0.0763719684521397823573,0.1332266112260754309382,-2.2385346085566988350024,\ +-0.5112419918132667939759,-0.0541885453710462053345,0.1544990573544810508189,\ +0.1051325180789595692410,-0.9326914829433226028499,0.0764891336322670034598,\ +-0.4245421077023512346216,-0.4665013282915527192962,-0.3980722181205589849107,\ +-1.152706389176620049852,-0.0091123646200983177135,-0.8629224644504486230190,\ +-0.0671956049468366567456,-0.1483256896732535745631,-0.0470857769330114903084,\ +0.3049502630226416100001,-0.8351336293434713509143,0.1199665328310368234144,\ +0.100965515388687754328,0.1851149271955789266109,-0.4311455286578065315695,\ +0.1656739977240755667953,-0.6957805672270640506838,-0.7030137346248552798755,\ +0.2434410334133135511703,-0.0502776447144934607314,-0.6643994214275527054880,\ +-0.0494471424057717073852,-0.1105954430789197057150,0.2627700024490645658304,\ +-0.6613338575819812659162,-0.4943364682181946023753,-0.2273273919604619497381,\ +-0.0669964153308245241591,0.0270809622513717325465,-0.3423076587443550367063,\ +0.2375373770411028651051,-0.7058599113455784612725,-0.0187211007688289424178,\ +0.1570046667576522059218,0.0619494218295955287323,0.0912342621811634557627,\ +-1.0118000314587793919685,-0.9415613562651380386015,-1.04611739737066766764,\ +-0.1350076179226963601909,-1.045153664947628735504,-3.1153566294303054462489,\ +-0.0576346967934074291828,0.0825782285147220879162,0.0858710750707356584854,\ +-0.1147913938093602786994,0.0959901869720326261781,-0.8704897942843184965866,\ +-0.1312205414500346722928,-0.4084692473683823599195,-0.5825265796688483543875,\ +-0.2043543873503067542785,-0.1585071715930248537063,-0.4983971045262390875408,\ +-1.405591688480441803222,0.1581272765392360557524,-0.1721619754559372272862,\ +-0.0902428450071243726249,-0.1497365537505691013287,0.2065025609822116192671,\ +0.0613750886386554700413,-0.8564551079948240497330,-0.804653684520539647096,\ +0.1638887899169061412863,0.1619231669215081825808,-0.4135383706484943022730,\ +-0.6905772083929240245936,-0.1416337472709212619293,-0.8981660716461068449945,\ +-0.1997922350746098307805,-0.1797380100619248022298,-0.0033949848444226812805,\ +0.3022174959979692654422,0.0079098230306947625579,-0.3346557902575436060921,\ +-0.5646231542298842942529,-0.8141969637368523526888,0.2555170413707821830407,\ +-2.8347892907784113525338,-0.7063037006217763869032} + +#define ZRESULTI {0.8365523024247201178127,0.3394374381847692356828,1.355160662925530390410,\ +1.5134434006476746858993,0.9868300791435297147913,1.528673168936313331301,\ +0.8260899014265745687879,1.1783591647662248202977,0.4297253343366602140740,\ +0.1611216299891750081130,0.7663999599077054858398,1.3047144916618338417180,\ +1.2822880914611145541926,1.5649955384218765530591,1.4678689248356304730692,\ +1.3586758006659467312716,0.7108977814935093508808,0.9933651109027943348906,\ +1.2071246910756632253481,0.1405010934420483359464,1.0025763105214653414521,\ +1.21989563358396813086,0.6174353300937470701015,0.3562751652356153653223,\ +0.5587012199090121145062,1.0302380576516638743811,0.5405656721364887618009,\ +0.5986555168040823549092,1.4107360213988626718162,0.4753739371565622318094,\ +0.0655076733245526648952,0.5201329289544929235234,0.7497818580560413614933,\ +0.7050355621930805005704,1.2121540141336599738509,0.6814274485183255958276,\ +1.1306014284455374596661,0.9141116926495304051414,0.4114688990228685949724,\ +0.9956827833608694611200,1.3022000158632660582469,1.4761001233596913184698,\ +0.8573788009054216230354,1.379379585022410426021,0.0039117682490215858332,\ +1.2006025140002900553071,0.7070620318380608226860,0.0783395850399789817065,\ +1.2785255791075276210478,0.2308747034561683952880,0.9955835564035591112031,\ +0.4524376138027601523817,1.4009149235535949262754,0.0822834615192538504358,\ +0.8034667275967887212218,1.2557032585647818212493,0.1598599852603853899158,\ +0.5815258576469973794687,1.4290836436420499833133,0.1589807896730044689537,\ +0.7782863583371778526399,0.2043896563749957318024,0.9616073478994561218869,\ +0.7392289023091881405847,0.6059375681629087795343,0.5612744745893767372991,\ +0.9984170767670760282542,0.8430838000818645650014,1.29879528501095431459,\ +0.0939407915654127262384,1.3484611857054962236191,1.1960714214373144859138,\ +0.8415982269448546437829,0.9732366936364994502995,0.9167206383382787704406,\ +0.0745857498941502189416,0.7278097264573785141195,0.9199632393837048338625,\ +0.6304525502744320331061,0.9211062195464506663356,0.3555526540057888373880,\ +0.9100796877015666641597,0.3899732161636976779384,1.5260640477653748536824,\ +0.3849315818496458763143,0.9408368768631211187525,1.5061175798419510485360,\ +0.838676229611447277001,1.2591119550131308901797,0.1620018843959732390836,\ +1.0546671087981356329522,0.2026968016035011754816,0.299271305708051660321,\ +0.7622771187183752239491,1.067757629024185028754,0.9888735682758375000745,\ +1.0801593307389727449674,1.4588740911245949849473,0.4118082358815949306496,\ +0.5629599662610861310341,0.4399958138718327860239,0.9004381750108224613527,\ +1.3516535386697041687398,1.2852850170743990165789,0.2721670546404741375390,\ +0.0569631738604013462823,0.3951736758236387148102,0.3862903740059538404417,\ +1.4457867030840705346861,1.1403205655573340759901,1.3522555755333163229892,\ +0.264908300074692404369,0.6622029195378335009181,1.0464389789763977045567,\ +0.8038225849224520658254,0.0850815175089563863198,0.6568351393392068970911,\ +0.669491640154789569017,0.7760242270392859742500,0.7016907095208140265896,\ +0.7797846541592131641707,1.335473484345777617222,0.4740136251481967821775,\ +0.2395937042296285568455,1.3285359486862795552753,1.401425714315664317056,\ +0.3592738595863486095183,1.0333805631652628331807,0.6436572543635337151358,\ +0.7762911838119904706090,0.4403927201098556398762,0.8811512979588507210593,\ +0.674423430961778702653,0.9132365009577151360176,1.5238520140402758151765,\ +1.00458246450610100275,0.4215689680173497211335,0.874990498737184374534,\ +0.8674547514202983755638,1.2800682610709759323697,0.8336956783393613124034,\ +0.9734878037135866746254,0.6700663792657182149526,0.7153420705223627606983,\ +1.0026132338500262086711,1.3535381134312993722801,1.0923065980664201646277,\ +0.6618099327465949421878,0.4821732258146940175436,1.033019939116806895640,\ +0.8668307442664776596430,0.9024324853624734465996,0.0729804020494689703602,\ +0.5506621520352920073904,1.1198886719657494825952,0.7824098301910974440077,\ +0.3619529370272654977825,1.4800901440707066036850,0.7343084050589578914980,\ +0.8462379976616437593506,1.2071528313995831815930,0.5720924999360996743292,\ +0.1106864208392598775132,1.0305927183418297499173,0.8498909387724447039858,\ +1.15517062965696792887,0.9096742728488710350021,1.01141253782177353848,\ +0.4595989696224830889371,1.3064089912173471041967,1.071386424855859109684,\ +0.4451357270611538408112,1.5062412806888749727818,0.2239121309027737871666,\ +0.4910523338147070870896,0.8513221989625705532490,1.460513851259993778342,\ +0.5833202395880134893957,0.5481910770820362932554,0.8603624185522980027940,\ +0.7565250407629732221082,0.9237902776741101495972,1.3040155501467787235725,\ +0.6701717740731456540715,0.9634987985586029868301,0.4075854524817449364704,\ +0.4213313914917447000619,0.3316883655770838101873,1.3489670985956061510791,\ +1.1391029061589752480188,1.3689599297259111843061,0.3132420296422914196555,\ +0.7917886209906572769768,1.2228656637749606428400,1.1551462426298317875961,\ +0.3579601167993540777879,0.9549534865181378284760,0.8141418225805733266398,\ +0.7703675837106083168493,0.1543074266086776613616} + + +#define ZSOURCE2R {3.9219759730622172355652,4.6815521270036697387695,3.361602746881544589996,\ +5.3368766140192747116089,2.03906395938247442245,1.5899897180497646331787,\ +0.1818151073530316352844,4.0983706060796976089478,0.1058345986530184745789,\ +1.9653097167611122131348,2.7255953708663582801819,3.4376550372689962387085,\ +2.0337020372971892356873,3.0119446106255054473877,2.7625959040597081184387,\ +2.9445307422429323196411,5.7180739520117640495300,2.141770124435424804688,\ +6.8954616272822022438049,5.8555728476494550704956,4.2041230341419577598572,\ +4.2775720171630382537842,3.1845858739688992500305,5.7618944440037012100220,\ +4.2549022240564227104187,9.7619816288352012634277,2.518960000015795230866,\ +4.3911290075629949569702,0.7593036955222487449646,2.5593801774084568023682,\ +0.6706167431548237800598,7.6511315722018480300903,0.4173615900799632072449,\ +3.438271805644035339356,1.9701673323288559913635,2.1228986512869596481323,\ +3.1403985014185309410095,7.8216253779828548431396,0.5409323470667004585266,\ +9.1902069095522165298462,4.6035157097503542900085,2.9926850274205207824707,\ +0.0291663268581032752991,8.9934705849736928939819,8.3879271661862730979919,\ +4.3437494523823261260986,7.7678761305287480354309,1.3953176606446504592896,\ +1.1506372271105647087097,5.3554199635982513427734,4.3117330456152558326721,\ +6.145384786650538444519,9.2589621385559439659119,0.9938172809779644012451,\ +4.2805786477401852607727,9.431830951943993568420,0.3273952705785632133484,\ +9.2132670804858207702637,9.4490244099870324134827,9.007069906219840049744,\ +8.0943161016330122947693,0.2519542910158634185791,0.0196450622752308845520,\ +5.0752213317900896072388,4.0760429529473185539246,8.4080461412668228149414,\ +5.017265700735151767731,9.1287807654589414596558,4.4357294728979468345642,\ +5.9837839566171169281006,7.7418426470831036567688,7.9220082703977823257446,\ +5.5046048713847994804382,4.0850437059998512268066,7.2174380579963326454163,\ +4.768535858020186424255,6.3930579042062163352966,9.963865298777818679810,\ +1.5747882844880223274231,5.3506936598569154739380,2.1290646074339747428894,\ +5.59145063161849975586,4.304965981282293796539,0.2280548494309186935425,\ +5.7614597817882895469666,7.1491303853690624237061,9.3216359661892056465149,\ +1.2326993141323328018188,2.8655522270128130912781,0.1247995719313621520996,\ +5.7694048294797539710999,3.9386960770934820175171,6.8885837262496352195740,\ +9.7023218311369419097900,8.51576429326087236404,3.3933044690638780593872,\ +8.7725317804142832756042,1.1314024776220321655273,5.2641283208504319190979,\ +5.297394050285220146179,9.2917560925707221031189,9.7654302977025508880615,\ +6.2254639761522412300110,9.822583282366394996643,7.5429888023063540458679,\ +5.4547880962491035461426,7.2860160330310463905334,0.2525969501584768295288,\ +4.0251684701070189476013,0.9831319935619831085205,2.6086253346875309944153,\ +3.6363423336297273635864,1.7466178117319941520691,9.2341394722461700439453,\ +7.6051409030333161354065,5.6402041297405958175659,3.7970651825889945030212,\ +8.7762261740863323211670,8.21742579806596040726,6.787058124318718910217,\ +0.8220098121091723442078,2.5527314469218254089355,7.4444567272439599037170,\ +2.2695036139339208602905,6.836930788122117519379,9.3650726415216922760010,\ +5.0530174048617482185364,2.5248145777732133865356,6.8188397912308573722839,\ +2.8363681584596633911133,1.409485661424696445465,6.7591095995157957077026,\ +4.5126775791868567466736,7.5430292449891567230225,1.3702143030241131782532,\ +6.6082405392080545425415,3.8900542212650179862976,7.001820541918277740479,\ +9.168005720712244510651,2.1228999551385641098022,2.6978330826386809349060,\ +3.1998893804848194122314,0.2321802498772740364075,7.26544727571308612823,\ +1.5340585587546229362488,2.3552638292312622070312,0.8797382796183228492737,\ +7.1059537213295698165894,6.8887275597080588340759,6.5953194908797740936279,\ +1.8151161121204495429993,3.9049659762531518936157,1.5869047446176409721375,\ +6.2407150492072105407715,6.3760355720296502113342,4.2704886104911565780640,\ +1.0716815060004591941833,2.3822965659201145172119,9.4629473658278584480286,\ +4.5766852516680955886841,8.9644787041470408439636,4.4384705275297164916992,\ +8.08956819120794534683,6.8317985069006681442261,0.3401931514963507652283,\ +2.3805456422269344329834,9.4920115964487195014954,2.1827886346727609634399,\ +6.1546878470107913017273,8.3135433867573738098145,7.7340125897899270057678,\ +4.2441909667104482650757,7.262125960551202297211,7.0999773032963275909424,\ +4.7457459988072514533997,9.4386920798569917678833,1.4596485672518610954285,\ +0.7141010463237762451172,6.7337385797873139381409,6.536924717947840690613,\ +1.996896131895482540131,6.01412517949938774109,1.8993748771026730537415,\ +2.5839814636856317520142,0.9878737432882189750671,0.6199027225375175476074,\ +0.4034968325868248939514,7.4001471605151891708374,6.1626600986346602439880,\ +6.5835834480822086334229,2.5145971449092030525208,3.8433500844985246658325,\ +4.3964602379128336906433,6.5407369285821914672852,5.878106378950178623200,\ +6.0208318661898374557495,0.4535020282492041587830,2.0294443331658840179443,\ +7.844273825176060199738,2.6375361625105142593384} + + +#define ZSOURCE2I {4.3832763982936739921570,8.6648589745163917541504,3.7921421090140938758850,\ +7.6687160786241292953491,6.0066213225945830345154,7.85673560574650764465,\ +7.3871155502274632453918,5.5442603398114442825317,9.9291495559737086296082,\ +9.757428467273712158203,3.709622272290289402008,3.0322382133454084396362,\ +9.5195201179012656211853,7.1278580836951732635498,1.192370061762630939484,\ +5.0091631803661584854126,3.2900535268709063529968,4.8089468106627464294434,\ +3.3036959776654839515686,6.3044753577560186386108,2.1171907847747206687927,\ +4.4860231317579746246338,5.9145097108557820320129,6.8067426700145006179810,\ +0.7392961112782359123230,9.4336947053670883178711,1.2863306934013962745667,\ +2.0190807711333036422729,1.9693034281954169273376,8.9286901615560054779053,\ +4.6179189579561352729797,6.2512917164713144302368,7.0597065938636660575867,\ +7.0181696489453315734863,4.0879997471347451210022,0.6362213846296072006226,\ +0.6573933875188231468201,5.3310041315853595733643,0.3315818728879094123840,\ +3.157835649326443672180,3.785823243670165538788,4.6195234358310699462891,\ +6.2873698258772492408752,2.8785153012722730636597,3.2920487364754080772400,\ +4.7192330472171306610107,3.3537696348503232002258,5.5530697200447320938110,\ +1.196080814115703105927,7.6139996573328971862793,4.7909884760156273841858,\ +2.8169692959636449813843,2.380097783170640468597,3.2942054606974124908447,\ +2.3067280324175953865051,2.1362966019660234451294,4.0549980429932475090027,\ +3.0953712016344070434570,6.762971603311598300934,9.7069163154810667037964,\ +5.4417965700849890708923,0.2047479711472988128662,8.9413649635389447212219,\ +3.4903638903051614761353,1.1053651524707674980164,2.0233777537941932678223,\ +1.3046909729018807411194,8.573952978476881980896,6.3780163740739226341248,\ +4.0711227245628833770752,6.6919379355385899543762,2.042601602151989936829,\ +8.3104313490912318229675,0.1221632957458496093750,4.8844617092981934547424,\ +9.549877075478434562683,0.5874312063679099082947,8.2584649138152599334717,\ +2.9807415651157498359680,0.7757596764713525772095,5.8460923237726092338562,\ +7.528713606297969818115,0.5172297963872551918030,5.9586250688880681991577,\ +3.8337053125724196434021,4.9002202786505222320557,5.2727950783446431159973,\ +0.6889454741030931472778,8.843077751807868480682,7.1912937611341476440430,\ +0.6942595774307847023010,1.1522095929831266403198,4.862680672667920589447,\ +7.6715826056897640228271,0.8805298106744885444641,7.0085612777620553970337,\ +1.879138792864978313446,2.0178856328129768371582,4.0628212550655007362366,\ +4.0966569539159536361694,1.769564501009881496429,3.31293122842907905579,\ +0.5184767069295048713684,4.1492417920380830764771,7.2212355909869074821472,\ +0.7746253907680511474609,5.8558783913031220436096,3.7079446297138929367065,\ +2.1161167463287711143494,1.903268527239561080933,5.607953821308910846710,\ +9.4247916433960199356079,6.8177247745916247367859,2.7342410013079643249512,\ +2.0717754075303673744202,1.9379387702792882919312,6.797837591730058193207,\ +5.88365742936730384827,9.331753817386925220490,5.509122880175709724426,\ +8.0405469564720988273621,1.074489727616310119629,7.4039250845089554786682,\ +5.6103316973894834518433,7.6611549546942114830017,7.8306589089334011077881,\ +1.4388314681127667427063,1.6471924725919961929321,3.1774142337962985038757,\ +5.0265956297516822814941,6.9204960623756051064,7.0065794046968221664429,\ +8.8706119870766997337341,6.9797694869339466094971,6.7989911558106541633606,\ +3.6159398127347230911255,2.6739976881071925163269,0.7736870646476745605469,\ +1.494100340642035007477,3.2018390577286481857300,2.0260545751079916954041,\ +4.4988587312400341033936,7.7075743721798062324524,2.4352242145687341690063,\ +2.1261148853227496147156,1.0992341861128807067871,6.9814807781949639320374,\ +4.1509064938873052597046,5.0298188393935561180115,7.51160675659775733948,\ +9.9401472182944416999817,1.82876241393387317657,3.021917375735938549042,\ +3.7854864448308944702148,7.1531985932961106300354,9.5241537224501371383667,\ +4.7039186349138617515564,1.8709417246282100677490,2.55718790460377931595,\ +4.4350660685449838638306,7.2340781940147280693054,8.7619100883603096008301,\ +0.3733208635821938514710,4.2934664245694875717163,3.1572330510243773460388,\ +3.682477343827486038208,1.4587742509320378303528,6.7683792579919099807739,\ +5.2619793592020869255066,4.003625661134719848633,0.0291080260649323463440,\ +3.0681814532727003097534,7.9026939114555716514587,9.5779503695666790008545,\ +6.6892711864784359931946,2.9296159837394952774048,8.2238993747159838676453,\ +0.1798455044627189636231,8.7107013771310448646545,3.1810243334621191024780,\ +5.7244732743129134178162,5.7386581040918827056885,3.4920182498171925544739,\ +7.06729766912758350372,3.5992007283493876457214,4.0523112565279006958008,\ +6.1408105725422501564026,6.5240467619150876998901,0.2951709320768713951111,\ +5.6688958965241909027100,7.1140170888975262641907,4.5884906593710184097290,\ +4.7205173922702670097351,0.6237313523888587951660,0.8544011274352669715881,\ +0.1345641072839498519898,3.5430019116029143333435,6.7193946428596973419189,\ +1.3606189610436558723450,2.1197437215596437454224} + + +#define ZRESULT2R {1.7718546901199148102535,2.2873385372432406548171,1.6228701567171754938101,\ +2.2346263074245684698838,1.8473969837167181218263,2.0814403666906242662549,\ +2.000040135761198101250,1.930738025076279118508,2.2955316341715112926636,\ +2.2979125914561788768253,1.52676863913911398107,1.5225454413433419098567,\ +2.2756589535249842626285,2.0461560089912054216654,1.10158579014350732628,\ +1.7596676151017560663092,1.886619744318301705732,1.6609534913253483079387,\ +2.0341867590624715944614,2.1522631887405574424577,1.5490800609419352884544,\ +1.8243154431583954444562,1.9046961835587756795007,2.1880745312667504443027,\ +1.462943224821960486182,2.6082576924848916988253,1.0397086540972344526068,\ +1.5754847768676314423431,0.746979645400304148595,2.2287521705924668857790,\ +1.5403790183895167409389,2.29053332003721576982,1.9561479629741382879615,\ +2.056062919004959077540,1.5124829204355532130677,0.7957872878063905197621,\ +1.1657936572577645151227,2.247663310479210085902,-0.4549625893688244437918,\ +2.273939094117130466088,1.7851157264602297569667,1.705510493291471751931,\ +1.838553591041654167171,2.2452631537104275061267,2.1984262619387999748710,\ +1.858482175867823826820,2.1354614286115483068329,1.7449625890299069741474,\ +0.5066316450005309279803,2.2309587833094872699746,1.8633839241242127204856,\ +1.9110608576794807511590,2.2575857867741544460216,1.23571911173189863398,\ +1.581562045830424700910,2.2691047577207688057399,1.4031989962500943658341,\ +2.2741179432518765501925,2.4527182982567738989133,2.5833963585371355620168,\ +2.2776279862384747332271,-1.1249835300913728630690,2.1906906716320380112961,\ +1.8180097251363194210683,1.440608273684235829393,2.157337396250079031290,\ +1.6456014738468727198750,2.5276363856092047832647,2.0501201476301127435420,\ +1.9792596577711849548109,2.325636279713856779949,2.1018269082301319627959,\ +2.2993946557097193483798,1.407779382548410174181,2.1650335217497893580685,\ +2.3678319878208848869861,1.8594164774388513006187,2.56043452139564964298,\ +1.2152594801616827258073,1.6876273083151080989239,1.8280452566376663714465,\ +2.2383606348726785562064,1.4669353168458199032642,1.7855716392006990567154,\ +1.9344712649878033072781,2.1595582205209731263551,2.3711393709457433409682,\ +0.3451198452895575252697,2.2295598849908442318224,1.9730216569827605521681,\ +1.7597572254564382010500,1.4119056335367026200345,2.1320313551579719302254,\ +2.5151804905590435801344,2.1472364706413502588589,2.052431577045615185284,\ +2.1940570121896025845842,0.8387289948467516742525,1.8945610375322186058611,\ +1.901605848224737327357,2.2469410116186243620007,2.3333167208432867845147,\ +1.8321040495156570848678,2.3667788410376999763685,2.345870799293293007537,\ +1.7064766326923879180555,2.2351179984798275057756,1.3127927306468758494873,\ +1.5145818637157286712380,0.7618288453812751548355,1.8221250086585414340590,\ +2.3127298919002594601579,1.9513099157402993277799,2.2649290827240116108499,\ +2.0646178740610454660498,1.7857162805439725783430,2.0523808897592226152540,\ +2.357637781206334715023,2.5204455223537904906550,2.1680868421848340510394,\ +2.08969579055791898625,1.0187212773133276222381,2.351321025745570558740,\ +1.8003855797977157404688,2.3290564194645368978343,2.5020530275623595883872,\ +1.6589662323678027178175,1.1034736729371952268508,2.0179385634489594991692,\ +1.7529535621370035958222,1.9548092141654069830992,2.2757671672542376661852,\ +2.2978225629400212959297,2.329897705001075625120,1.9366802551403343723990,\ +2.0192737614105338295190,1.5519072144028889237433,1.9522381258437428996899,\ +2.228825942499146339770,1.3459088341323246496017,1.2160693133443531976923,\ +1.708519320712721833999,2.042657041378174831436,2.0363649964518035773153,\ +0.9638512795498686003270,0.9551846741593900125267,1.951137961258366582129,\ +2.107724763084950492242,2.1435395035941335883933,2.30219731892690226971,\ +2.3129821080069814520641,1.4613961122338947618005,1.2276638750511146280786,\ +1.98774702803650615834,2.2599263943254159769936,2.3454288218721179859472,\ +1.5736974684351636710744,1.1082826047896976451312,2.2826248447267389884985,\ +1.852079302129498561413,2.4440219801181322090144,2.2846216839061130876587,\ +2.0916390604994830049179,2.0880185293365247645170,1.1554676622252344486697,\ +1.4781743340729813773748,2.2621227047071905680298,1.9617338719614783038026,\ +2.0915485321054503309313,2.222172100020261886755,2.0456349034700243016971,\ +1.6557620395745074048932,2.3732960033711649749932,2.4784302018604411621538,\ +2.1043456955600268187823,2.2908052004546388680239,2.1225525715426596384816,\ +-0.3059820602804464440006,2.398801697565509982724,1.9837316998415748248163,\ +1.8021669050328577021958,2.1177911026101683411582,1.3800624471185749531088,\ +2.0182134290564768264176,1.3170274339145702224840,1.4108532825842892144408,\ +1.817110834423457665920,2.2890298175330245911141,1.8196542505912531861867,\ +2.1619335403208914669904,2.0209326327770549269758,1.7893311710629888899859,\ +1.8641960608110765829082,1.882576152038281991352,1.7816883851861540222217,\ +1.7954751269073565556056,1.2730999018963571334240,1.9486466131391497746961,\ +2.074605067637334876451,1.2189909546635331327735} + + +#define ZRESULT2I {0.8408843669071919268987,1.0754371807248737091811,0.8455094310786673839075,\ +0.962808271271232585242,1.2435335418309885202603,1.371120256581034091425,\ +1.5461888319559713433904,0.9342369007616236897817,1.56013775123029430070,\ +1.3720388608498168547811,0.9371355532144381994542,0.7228179279461685036168,\ +1.360325287393417292847,1.1709945644102059958414,0.4074578726347549695319,\ +1.0393742565506918218432,0.5221182542768327827787,1.1517977305599864656926,\ +0.4467977216337457035955,0.8222975857540034683169,0.4665224019878621564139,\ +0.8091797065019556978172,1.0768746352304479074746,0.8683388375483406251831,\ +0.1720341159830799382391,0.7682977019562435838651,0.4721387487057847609506,\ +0.4309811115589534114001,1.20279143843462255070,1.2916347740244560338141,\ +1.4265839008392693365579,0.6850460436644268957807,1.5117462274209296779759,\ +1.1152532149987959275705,1.1217014706271768442747,0.2911766403909815670303,\ +0.2063546073155473614680,0.5982511040925977408023,0.5499105526382754849379,\ +0.3309697617869979402450,0.6882370204600587459964,0.9959451809388051302108,\ +1.5661574844082004620560,0.3097639368523368297304,0.3740022155825183380884,\ +0.8268049495959598482742,0.407572856709710940049,1.3246230944084764757918,\ +0.8047604843662868878695,0.9578156211088914018248,0.8379992820836518196970,\ +0.4298072736875270249968,0.2516111351341220880862,1.2777930133692467773443,\ +0.4942674920588698839197,0.2227403824735175175142,1.4902323819071812138759,\ +0.3241206854947055737704,0.6212066791677098853697,0.8227777158663325263177,\ +0.5918914368525474145599,0.6824004867135488039409,1.5685992315253338702519,\ +0.602441091725517741118,0.2648167750385964080984,0.2361574036342227733698,\ +0.2544057494452062195833,0.7540670573431564882583,0.9631160038064509043565,\ +0.5974222702744066415548,0.7127866343417466055143,0.2523427003112133637508,\ +0.9857721947818851582213,0.0298961055939373325507,0.5949566736712420533806,\ +1.1076852186579833059454,0.0916284996635063769821,0.6920814866116709040966,\ +1.0847494758718594365376,0.1439797822740493671301,1.2215400197911927548944,\ +0.9319943094964961982640,0.1195740768674621451462,1.5325419323859537090726,\ +0.5871287736405550461427,0.6008795873685909283424,0.5147800680430554276512,\ +0.5096442477271476700906,1.2574287319730830247977,1.55344381002968989769,\ +0.1197588579388608048815,0.2845949117488152935174,0.6146775806026560928785,\ +0.6690416852557365956,0.1030338183393550155476,1.1198962694059428901738,\ +0.2110181909408466172096,1.0597850788835401214527,0.6573038229366630069706,\ +0.6582686240328038396186,0.1881909924839933190288,0.3270668956957688000564,\ +0.0830914673081940696742,0.3996821407672082604456,0.763608851537480148863,\ +0.1410651270101331844487,0.677001919140020169685,1.5027782434779339837405,\ +0.4840122714003086690227,1.0939971143713191903402,1.1354027775868176242113,\ +1.2025671422981056846169,1.3200023979900399329068,0.2878762084297626921980,\ +0.2659639364881328793544,0.3309563133803885004447,1.0613976119428301103653,\ +0.5905886949329369750572,0.84881047253311037171,0.6818405058224251691357,\ +1.4689172047242584628890,0.3984077871527766379067,0.7826684691736193189016,\ +1.1863976071520063726439,0.8421875864316380466690,0.6964016273061860440308,\ +0.2774051332309265816001,0.5780614975169666713839,0.4360596809152573194446,\ +1.0570616474517706695480,1.3698760574306645398934,0.8033735187122362786383,\ +1.100195299896877587642,0.7466330742895204153342,1.3719281224888897341430,\ +0.5006805450256617273652,0.6022149721715611692119,0.1100515320096066840261,\ +0.1615487638997855912582,0.9853189831543425203364,0.6441365190650450989196,\ +0.9525486295501676137221,1.540681786544560338825,0.3234105928346787672822,\ +0.9457654725170446807780,0.4366658824494836776964,1.4454467286135332937391,\ +0.5286797419321711544171,0.6306769685466229180548,0.8502600566998695930110,\ +1.3901817278534140953639,0.4379816003966337523146,1.0872460520812594619855,\ +0.5452429334871597976786,0.8427783441184910628863,1.1492861648773524674283,\ +1.346792368827264718689,0.665745289338786183642,0.2639277343938546960267,\ +0.7696845111061191291313,0.6789773815510785626159,1.1019111077295657974418,\ +0.0461157104075398602272,0.5610787453255564605215,1.4634600366382779501606,\ +0.9969191986962234741654,0.1524913254966685227654,1.2588290814744897971877,\ +0.7073635046287626293449,0.4488022872724745648831,0.0037636205385015429094,\ +0.6259389684526723840463,0.8276134607557569244918,0.9328971084913546540918,\ +0.9537519653655091023126,0.3009556732582234217510,1.3951370123387065724785,\ +0.2467179687642131191705,0.9127106501576134345299,0.4528896475979662383793,\ +1.2351598243895067774645,0.7619639996129009551495,1.0726338584530288322583,\ +1.220269965181696392165,1.3029226301867964377124,1.4189980227900089726489,\ +1.5051832236136615250643,0.7225617055791342391302,0.0478600995604049964105,\ +0.710883123025403795836,1.2310328539390928970221,0.8735414139313334436210,\ +0.8209275679220129351421,0.0950735258592600440686,0.1443422571457730618771,\ +0.0223460331642115414552,1.443489200421151252840,1.2774801572114198311425,\ +0.1717450012966928174496,0.6769828145758884918593} + + + + + /* in is between 0 and 1 + in2 between 0 and 10 */ + +void dlogsTest(void) { + + double in[]=SOURCE; + double res[]=RESULT; + double out; + double in2[]=SOURCE2; + double res2[]=RESULT2; + int i; + + for (i=0;i<200;i++){ + out=dlogs(in[i]); + assert(( (fabs(out-res[i]))/(fabs(out)) )<3e-16); + } + + for (i=0;i<200;i++){ + out=dlogs(in2[i]); + assert(( (fabs(out-res2[i]))/(fabs(out)) )<1e-16); + } +} + + +/* FIXME : assert à 10^-14 */ +void zlogsTest(void) { + double inR[]=ZSOURCER; + double inI[]=ZSOURCEI; + double resR[]=ZRESULTR; + double resI[]=ZRESULTI; + double in2R[]=ZSOURCE2R; + double in2I[]=ZSOURCE2I; + double res2R[]=ZRESULT2R; + double res2I[]=ZRESULT2I; + doubleComplex in,in2,out; + int i; + + for (i=0;i<200;i++){ + in=DoubleComplex(inR[i],inI[i]); + out=zlogs(in); + assert(( (fabs(zreals(out)-resR[i]))/(fabs(zreals(out))) )<3e-14); + assert(( (fabs(zimags(out)-resI[i]))/(fabs(zimags(out))) )<3e-14); + } + + + for (i=0;i<200;i++){ + in2=DoubleComplex(in2R[i],in2I[i]); + out=zlogs(in2); + assert(( (fabs(zreals(out)-res2R[i]))/(fabs(zreals(out))) )<3e-14); + assert(( (fabs(zimags(out)-res2I[i]))/(fabs(zimags(out))) )<1e-14); + } +} + +void dlogaTest(void) { + double in[]=SOURCE; + double res[]=RESULT; + double out[200]; + double in2[]=SOURCE2; + double res2[]=RESULT2; + int i; + + dloga(in,200,out); + for (i=0;i<200;i++){ + assert(( (fabs(out[i]-res[i]))/(fabs(out[i])) )<3e-16); + } + + dloga(in2,200,out); + for (i=0;i<200;i++){ + assert(( (fabs(out[i]-res2[i]))/(fabs(out[i])) )<1e-16); + } +} + +void zlogaTest(void) { + double inR[]=ZSOURCER; + double inI[]=ZSOURCEI; + double resR[]=ZRESULTR; + double resI[]=ZRESULTI; + double in2R[]=ZSOURCE2R; + double in2I[]=ZSOURCE2I; + double res2R[]=ZRESULT2R; + double res2I[]=ZRESULT2I; + doubleComplex *in,*in2,out[200]; + int i; + + + in=DoubleComplexMatrix(inR,inI,200); + zloga(in,200,out); + + for (i=0;i<200;i++){ + assert(( (fabs(zreals(out[i])-resR[i]))/(fabs(zreals(out[i]))) )<3e-14); + assert(( (fabs(zimags(out[i])-resI[i]))/(fabs(zimags(out[i]))) )<3e-14); + } + + in2=DoubleComplexMatrix(in2R,in2I,200); + zloga(in2,200,out); + + for (i=0;i<200;i++){ + assert(( (fabs(zreals(out[i])-res2R[i]))/(fabs(zreals(out[i]))) )<3e-14); + assert(( (fabs(zimags(out[i])-res2I[i]))/(fabs(zimags(out[i]))) )<1e-14); + } + + +} +int testLog(void) { + printf("\n>>>> Double Logarithm Tests\n"); + dlogsTest(); + zlogsTest(); + dlogaTest(); + zlogaTest(); + return 0; +} + +int main(void) { + assert(testLog() == 0); + return 0; +} diff --git a/2.3-1/src/c/elementaryFunctions/log/testFloatLog.c b/2.3-1/src/c/elementaryFunctions/log/testFloatLog.c new file mode 100644 index 00000000..1966acf1 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/log/testFloatLog.c @@ -0,0 +1,958 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Arnaud TORSET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "testLog.h" + +#define SOURCE {0.3628176329657435417175f,0.924179898109287023544f,0.5243524145334959030151f,\ +0.7886543427594006061554f,0.6525151440873742103577f,0.2477638195268809795380f,\ +0.2364655844867229461670f,0.7240293831564486026764f,0.8278210600838065147400f,\ +0.4287728047929704189301f,0.4858888480812311172485f,0.5923984018154442310333f,\ +0.0949383648112416267395f,0.1356843891553580760956f,0.9917455688118934631348f,\ +0.7212927364744246006012f,0.0115638775750994682312f,0.0211908905766904354095f,\ +0.1524727698415517807007f,0.9165380974300205707550f,0.4467271203175187110901f,\ +0.5868234331719577312469f,0.1882771886885166168213f,0.4196520284749567508698f,\ +0.2730510598048567771912f,0.7565603456459939479828f,0.9378882069140672683716f,\ +0.0586007428355515003204f,0.5101847248151898384094f,0.5031699347309768199921f,\ +0.7783576548099517822266f,0.6856653341092169284821f,0.1381576983258128166199f,\ +0.371037633623927831650f,0.6366564910858869552612f,0.4961673622019588947296f,\ +0.2994064847007393836975f,0.2392275254242122173309f,0.5618183575570583343506f,\ +0.3218038142658770084381f,0.1082227518782019615173f,0.1685282415710389614105f,\ +0.8263800088316202163696f,0.4923414406366646289825f,0.7863734485581517219543f,\ +0.6762332352809607982635f,0.0258686169981956481934f,0.3594204657711088657379f,\ +0.3436427963897585868835f,0.2824054299853742122650f,0.1450859513133764266968f,\ +0.0762176741845905780792f,0.5220461571589112281799f,0.6713762427680194377899f,\ +0.0599394328892230987549f,0.7267188713885843753815f,0.2224657749757170677185f,\ +0.3122289828024804592133f,0.4435700643807649612427f,0.3983507198281586170197f,\ +0.1324583934620022773743f,0.8820166247896850109100f,0.5455272346735000610352f,\ +0.2917219498194754123688f,0.7739847479388117790222f,0.3354639573954045772552f,\ +0.8127403985708951950073f,0.4612239454872906208038f,0.6898109326139092445374f,\ +0.9649041066877543926239f,0.8210376314818859100342f,0.2802407057024538516998f,\ +0.9873316427692770957947f,0.294199434574693441391f,0.4859610591083765029907f,\ +0.2247181800194084644318f,0.9585652919486165046692f,0.1503968122415244579315f,\ +0.0216291621327400207520f,0.0688429796136915683746f,0.9950710041448473930359f,\ +0.7568672685883939266205f,0.6163959559053182601929f,0.0865804632194340229034f,\ +0.5165374809876084327698f,0.1916800136677920818329f,0.2940570451319217681885f,\ +0.3528221980668604373932f,0.1317937439307570457458f,0.0549608371220529079437f,\ +0.929352553561329841614f,0.737892795819789171219f,0.7509917514398694038391f,\ +0.6889848816208541393280f,0.8865169286727905273438f,0.6891661235131323337555f,\ +0.8677108911797404289246f,0.7947537912987172603607f,0.2496256213635206222534f,\ +0.3935408894903957843781f,0.7297343472018837928772f,0.7888072351925075054169f,\ +0.113488640636205673218f,0.4145256043411791324615f,0.6172473421320319175720f,\ +0.7440188056789338588715f,0.9038409832864999771118f,0.3976829168386757373810f,\ +0.9472072543576359748840f,0.2581262919120490550995f,0.1955799385905265808105f,\ +0.9381833248771727085114f,0.4226356102153658866882f,0.0937463282607495784760f,\ +0.9977992679923772811890f,0.2042182614095509052277f,0.9455819511786103248596f,\ +0.9336234177462756633759f,0.9743702597916126251221f,0.4100225553847849369049f,\ +0.5125095760449767112732f,0.0948633304797112941742f,0.5688196588307619094849f,\ +0.7322562676854431629181f,0.8108531581237912178040f,0.5459008770994842052460f,\ +0.5022544711828231811523f,0.7634959020651876926422f,0.7354982374235987663269f,\ +0.0699520572088658809662f,0.6130836438387632369995f,0.0965849910862743854523f,\ +0.5439325878396630287170f,0.9187005828134715557098f,0.5072866193950176239014f,\ +0.1335940570570528507233f,0.8688194593414664268494f,0.7999687767587602138519f,\ +0.9879787657409906387329f,0.7131399479694664478302f,0.3067426951602101325989f,\ +0.5431228461675345897675f,0.7330236807465553283691f,0.6498145484365522861481f,\ +0.8018737239763140678406f,0.2859625308774411678314f,0.1894423719495534896851f,\ +0.7794728656299412250519f,0.5433104271069169044495f,0.5268451268784701824188f,\ +0.1533693112432956695557f,0.6041304902173578739166f,0.5948378806933760643005f,\ +0.8857938847504556179047f,0.0043053645640611648560f,0.1302204323001205921173f,\ +0.9758609728887677192688f,0.9183407831005752086639f,0.0624175965785980224609f,\ +0.9939593323506414890289f,0.4122588960453867912292f,0.8258536770008504390717f,\ +0.0376359503716230392456f,0.4675730471499264240265f,0.4759115139022469520569f,\ +0.4060978214256465435028f,0.0392968021333217620850f,0.4401316107250750064850f,\ +0.3316476037725806236267f,0.0877817696891725063324f,0.1150833908468484878540f,\ +0.9667435702867805957794f,0.8103649737313389778137f,0.3928376468829810619354f,\ +0.7880131229758262634277f,0.4798596971668303012848f,0.0270724548026919364929f,\ +0.6701857983134686946869f,0.5602217521518468856812f,0.2564360727556049823761f,\ +0.2626037681475281715393f,0.4447338129393756389618f,0.8522944338619709014893f,\ +0.2347065494395792484283f,0.3277532672509551048279f,0.2253599218092858791351f,\ +0.3468936551362276077271f,0.7743145865388214588165f,0.1285835551097989082336f,\ +0.1156307714991271495819f,0.2054340392351150512695f,0.4535544612444937229156f,\ +0.6516549764201045036316f,0.0710035725496709346771f,0.1265540253371000289917f,\ +0.4974718545563519001007f,0.0879269847646355628967f,0.1462626229040324687958f,\ +0.715134423226118087769f,0.9305738122202455997467f} + +#define RESULT {-1.0138549594808059506335f,-0.0788485313675790222554f,-0.6455912738997077182646f,\ +-0.2374271494900490608870f,-0.4269209307253117313685f,-1.3952793271990111545477f,\ +-1.4419526017799386696794f,-0.3229233029497151630238f,-0.1889582589621221220266f,\ +-0.8468280928949678543205f,-0.7217753888910144466351f,-0.5235758944053595653756f,\ +-2.354527389398466841186f,-1.9974237581445692946147f,-0.0082886876471943305572f,\ +-0.3267102095711482134810f,-4.459869041610169837497f,-3.8541838794260296907623f,\ +-1.8807692572941765440930f,-0.0871516441756800402940f,-0.8058073398690168698266f,\ +-0.5330312996797691438289f,-1.6698399941066854879068f,-0.8683294147345963498452f,\ +-1.2980964690333058886296f,-0.2789729794097077220094f,-0.0641245194730828693697f,\ +-2.8370079061049158219987f,-0.6729824133243695882811f,-0.6868273235307851276588f,\ +-0.2505691498856313370602f,-0.3773656214470872405364f,-1.9793595047655996310709f,\ +-0.9914517831797942104544f,-0.4515250293249062352174f,-0.7008419853775434971155f,\ +-1.205953148244055972427f,-1.4303401906823356437570f,-0.5765766885249945516989f,\ +-1.1338131915858427056776f,-2.2235636585360341044293f,-1.7806519374711546888079f,\ +-0.1907005521377241608061f,-0.7085828181522180191365f,-0.240323473997209546837f,\ +-0.3912172398408133022762f,-3.6547247438886865111840f,-1.0232623619826317629133f,\ +-1.0681525436893481995071f,-1.264411545554370741584f,-1.93042894450046809141f,\ +-2.5741618985048786427683f,-0.6499992713325659643431f,-0.3984255796794416437656f,\ +-2.8144206784459675496635f,-0.3192155730871417684824f,-1.502982009541258934249f,\ +-1.1640184411209602011184f,-0.8128995091446955534309f,-0.9204224561330225373723f,\ +-2.0214866944753584476757f,-0.1255443741850884864508f,-0.6060025488810325544620f,\ +-1.231954157015291428934f,-0.2562031110919770759971f,-1.092240757863258915350f,\ +-0.2073435333764902521736f,-0.7738715719712579987899f,-0.3713377296431035756719f,\ +-0.0357265538888332026546f,-0.1971863344268207918208f,-1.2721063818886333418590f,\ +-0.0127492850765575892191f,-1.223497392724554932997f,-0.7216267835832522736794f,\ +-1.4929081951001816896962f,-0.0423175999341945593968f,-1.8944780628936490618486f,\ 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+-0.0638099067725128449302f,-0.8612449127611128130155f,-2.3671627801172654415041f,\ +-0.0022031571770593774348f,-1.5885659482121525787335f,-0.0559547196755256631695f,\ +-0.0686821150485829451382f,-0.0259639040526286474231f,-0.8915431076633286711086f,\ +-0.6684358831783273613425f,-2.3553180497276513527538f,-0.5641918391516044239964f,\ +-0.3116247338224413798713f,-0.2096683039932461523058f,-0.6053178634921361211951f,\ +-0.6886483730214458809371f,-0.2698475216395072595610f,-0.3072071353764207479742f,\ +-2.659945168598087494871f,-0.4892539023727084379622f,-2.3373319216128076725170f,\ +-0.6089299592172232600262f,-0.0847950173155939540548f,-0.6786791108759814283857f,\ +-2.0129495019748864237386f,-0.1406199321004115432299f,-0.2231825811274127380202f,\ +-0.0120940736302183569906f,-0.3380775973662459854552f,-1.181746009333312530387f,\ +-0.6104197485997391314783f,-0.3105772710053884000381f,-0.4310682668987352861301f,\ +-0.2208041349135003439397f,-1.25189448766300226445f,-1.6636704065163092636226f,\ +-0.2491374010581904052675f,-0.6100744334370675758805f,-0.6408486505219985751580f,\ +-1.8749064671471911136535f,-0.5039650609751163967687f,-0.5194663799859419173188f,\ +-0.1212709911627764675091f,-5.4478934608177302933996f,-2.038526631411456513376f,\ +-0.0244351485261014196582f,-0.0851867338269072515988f,-2.7739080469083896574034f,\ +-0.0060589862906551463645f,-0.8861037385262900967220f,-0.1913376676415258770270f,\ +-3.2797955584796012473703f,-0.7601996918711692030612f,-0.7425233371947113081291f,\ +-0.9011612089296217043000f,-3.2366121340710831688625f,-0.8206814815116268979622f,\ +-1.1036823082060371881141f,-2.4329014344197728014763f,-2.1620982756055884266289f,\ +-0.0338219993709664781822f,-0.2102705479450195091840f,-0.9343588647242980771424f,\ +-0.2382405357403041268327f,-0.7342615153765646995865f,-3.609238495954611991579f,\ +-0.4002002941250653034189f,-0.5794225876492602456125f,-1.36087587445700952671f,\ +-1.337108967835097139698f,-0.8102793489627861944768f,-0.1598232322015146200656f,\ +-1.449419270934711789778f,-1.1154941876589379301521f,-1.4900565023732303959747f,\ +-1.05873701535465292167f,-0.2557770454111949476328f,-2.0511763516400991491651f,\ +-2.1573531687271665369110f,-1.5826302735280548539265f,-0.7906399256902217898002f,\ +-0.4282400343889684046772f,-2.6450250856057104797969f,-2.0670859842226763092299f,\ +-0.6982162977399214431884f,-2.4312485274946018520836f,-1.9223514861397812403254f,\ +-0.3352847494467096622905f,-0.0719538807151878373469f} + + +#define SOURCE2 {2.6395560009405016899109f,4.1481037065386772155762f,2.8064980218186974525452f,\ +1.2800584640353918075562f,7.7831285959109663963318f,2.1190304495394229888916f,\ +1.121354666538536548615f,6.8568959552794694900513f,1.5312166837975382804871f,\ +6.970850601792335510254f,8.4155184263363480567932f,4.0620247554033994674683f,\ +4.09482547547668218613f,8.7841258011758327484131f,1.1383596854284405708313f,\ +1.9983377400785684585571f,5.6186607433483004570007f,5.8961773291230201721f,\ +6.8539796629920601844788f,8.9062247332185506820679f,5.0422128057107329368591f,\ +3.493615407496690750122f,3.8737787725403904914856f,9.2228986788541078567505f,\ +9.4881842611357569694519f,3.4353372454643249511719f,3.7601187312975525856018f,\ +7.3409405630081892013550f,2.6157614728435873985291f,4.99349383637309074402f,\ +2.6385784195736050605774f,5.25356308557093143463f,5.3762298030778765678406f,\ +1.1999255046248435974121f,2.2563034901395440101624f,6.2740930821746587753296f,\ +7.6084325974807143211365f,0.4855662025511264801025f,6.7239497276023030281067f,\ +2.017172696068882942200f,3.911573919467628002167f,8.3003165572881698608398f,\ +5.8787201577797532081604f,4.8291792999953031539917f,2.2328650346025824546814f,\ +8.4008856676518917083740f,1.2059959070757031440735f,2.8553641680628061294556f,\ +8.6075146449729800224304f,8.494101651012897491455f,5.2570608118548989295959f,\ +9.9312098976224660873413f,6.4885628735646605491638f,9.923190940171480178833f,\ +0.5004197778180241584778f,7.4855065811425447463989f,4.1040589986369013786316f,\ +6.0845263302326202392578f,8.5442108893766999244690f,0.6426467280834913253784f,\ +8.279082938097417354584f,9.2623437754809856414795f,5.6672112690284848213196f,\ +5.711638936772942543030f,8.1601104838773608207703f,0.5689279362559318542481f,\ +5.5959366867318749427795f,1.2493403162807226181030f,7.279222286306321620941f,\ +2.6777664758265018463135f,5.4653349192813038825989f,9.885407658293843269348f,\ +7.3956565884873270988464f,0.0371731072664260864258f,5.9005728596821427345276f,\ +3.096467358991503715515f,2.5522057106718420982361f,6.2518793903291225433350f,\ +1.1574173765257000923157f,6.1170040909200906753540f,6.7839562846347689628601f,\ +3.3200952783226966857910f,0.2587099233642220497131f,5.1744682248681783676147f,\ 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+8.3254515705630183219910f,6.1048321425914764404297f,1.8711117887869477272034f,\ +0.1895748358219861984253f,8.4335647663101553916931f,0.7485948316752910614014f,\ +8.5328151332214474678040f,0.1245901081711053848267f,1.8675393564626574516296f,\ +4.920584075152873992920f,7.4896081397309899330f,9.414957007393240928650f,\ +2.1240556007251143455505f,5.7950199581682682037354f,2.628147569485008716583f,\ +4.3609866220504045486450f,9.1105451015755534172058f,8.0826673656702041625977f,\ +8.1026530498638749122620f,2.5904283951967954635620f,4.1390872886404395103455f,\ +3.599927779287099838257f,6.91278793383389711380f,7.6568587962538003921509f,\ +3.572649653069674968720f,7.6933998242020606994629f,5.4776339093223214149475f,\ +0.9622887428849935531616f,9.5611717319115996360779f,2.2074085660278797149658f,\ +0.1432593585923314094544f,8.1914897728711366653442f,1.3049928424879908561707f,\ +9.6820035576820373535156f,6.5613814676180481910706f,2.4455389659851789474487f,\ +5.2831235667690634727478f,8.4689256362617015838623f,7.8766220854595303535461f,\ +1.262082615867257118225f,7.8838609857484698295593f,3.4530424699187278747559f,\ +2.6598573336377739906311f,9.7098186518996953964233f,8.8752476638182997703552f,\ +2.066752854734659194946f,8.5251609655097126960754f,6.7446978110820055007935f,\ +9.152874383144080638886f,0.2848597615957260131836f,2.367841475643217563629f,\ +7.0153435599058866500854f,1.2025266280397772789001f,8.2874121330678462982178f,\ +3.1610729591920971870422f,5.30519076623022556305f,5.715174819342792034149f,\ +0.4780154302716255187988f,8.2486197212710976600647f,5.7988431211560964584351f,\ +2.7918082987889647483826f,9.5451109297573566436768f,9.0711546363309025764465f,\ +3.3601493109017610549927f,1.1756130633875727653503f,9.2537237703800201416016f,\ +7.2636712575331330299377f,9.0094979386776685714722f,3.9489932497963309288025f,\ +5.6551797501742839813232f,7.0614896761253476142883f,6.7878311965614557266235f,\ +4.1329363686963915824890f,1.402290873229503631592f,4.9523561308160424232483f,\ +4.1948772873729467391968f,8.6262222891673445701599f,2.8575096465647220611572f,\ +2.5121363671496510505676f,3.389101596549153327942f} + + +#define RESULT2 {0.9706107215522056241852f,1.4226512916310911638362f,1.0319374505428213772973f,\ +0.246905751916103338717f,2.0519583905069445073366f,0.7509586489514044060911f,\ +0.1145374781176292794394f,1.9252548546825831721208f,0.4260626375542267973984f,\ +1.9417372548863311987333f,2.1300774331528766758481f,1.4016815575274605976119f,\ +1.4097240974656071177407f,2.1729462062921069964716f,0.1295883538042104654586f,\ +0.6923157050192292327751f,1.7260933336118711167728f,1.7743042306089458204355f,\ +1.9248294562744026059420f,2.1867504404929474226549f,1.6178450344817050243762f,\ +1.2509371333857781660726f,1.3542304576599399901227f,2.2216893784894660157647f,\ +2.2500472625069045662372f,1.2341151000295289552611f,1.3244505343759986892849f,\ +1.993466976516135025221f,0.9615552493321314342367f,1.6081358323702796830901f,\ +0.9702402946929443716684f,1.658906529368289861637f,1.6819873484154954645931f,\ +0.1822594753876470019538f,0.8137278503591067746470f,1.8364289458354570161447f,\ +2.0292571844941731384893f,-0.7224396410182910566178f,1.9056757389571916672f,\ +0.7016968755690818904114f,1.3639398299492546673406f,2.1162936535075722588317f,\ +1.7713390779775688432807f,1.5746765360416834500512f,0.8032855297427843321856f,\ +2.1283371369164427733267f,0.1873057044979935803486f,1.0491993894614395355092f,\ +2.1526356176491328042744f,2.1393719992097341986437f,1.659572089557145968541f,\ +2.2956823132957397959331f,1.870041069148148160650f,2.294874536928924957380f,\ +-0.6923079771535994852982f,2.012968695092798743218f,1.4119764836513208905444f,\ +1.8057488812128539290569f,2.1452539646586252786165f,-0.4421601177273855043381f,\ +2.1137322059948120411832f,2.225957124135133913256f,1.7346971570693363595694f,\ +1.7425060116900870088585f,2.0992577085752079923964f,-0.5640015026903990591478f,\ +1.7220407427170496550417f,0.2226156650313379503636f,1.9850240276979147502345f,\ +0.9849830425057782834486f,1.6984254041571493765161f,2.2910596958626552321903f,\ +2.0008928803872945145770f,-3.2921697020833700086939f,1.7750494410596528993551f,\ +1.1302619000814182470549f,0.9369579698639551867956f,1.83288212099904845864f,\ +0.146191123459191885114f,1.8110724490390321950173f,1.9145604545765595450035f,\ +1.1999934808065779723307f,-1.3520478319474638073672f,1.6437365753918393718180f,\ +1.3652936921609135634270f,0.8810938927039604351421f,1.62224256150308399071f,\ +1.4436435071804869512135f,1.0625454734184220928483f,-0.1188599112506976002157f,\ +1.8266248385955683453119f,1.2398179577704631082469f,1.9551342798915567477991f,\ +1.6508624439841452780087f,1.0544516892385875639349f,1.8722320967378904832401f,\ +-0.1263177455503078638888f,1.5038025468266962292319f,1.9778590304154859413899f,\ +2.194643054750437638489f,0.8869945101840888135314f,1.4673491210608482493427f,\ +2.2697574345222681913015f,1.6230517098794554620156f,1.6549802193742981781810f,\ +1.7222213768989977911161f,1.7258523677080592761968f,1.5436741131934335058418f,\ +2.0534243510350704831069f,2.0669984227965598755361f,2.2832536450533371663596f,\ +2.1025556044304130054456f,1.4485347077928583114925f,0.9007955206863934582984f,\ +2.2224083935232625819367f,0.0007455307285780288533f,1.5429172933929051758639f,\ +1.3738415648213015973766f,-1.0048020456777133624371f,1.6439105509928255699492f,\ +2.1193172771056971726011f,1.8090806121136604467381f,0.6265327936561931876369f,\ +-1.6629714204274992361832f,2.1322195493342954719651f,-0.2895573875226954974060f,\ +2.1439193343978621975054f,-2.0827260644551484070064f,0.62462171221383455677f,\ +1.5934272379201788183423f,2.0135164783675794097917f,2.24229959570391956802f,\ +0.7533272804029441660489f,1.7569989208182723583462f,0.9662792518179295075953f,\ +1.4726983212224467045814f,2.209432545000515446532f,2.089721937569185339356f,\ +2.09219154507008475719f,0.951823265584673561257f,1.4204753018509210793496f,\ +1.2809137839516946399954f,1.9333730200617991190626f,2.0356018208291457582959f,\ +1.273307520236932832702f,2.0403627955950214278857f,1.700673239349282273025f,\ +-0.0384407248228896478159f,2.257710285652239079468f,0.7918192329452391486910f,\ +-1.943098595033752262751f,2.1030957827723826270017f,0.2661975560760838632746f,\ +2.2702688589706512267696f,1.8812011703610473922765f,0.8942655346201515698112f,\ +1.6645175074163265360738f,2.136403657202092354339f,2.0638991426068855616904f,\ +0.2327632262134610163784f,2.0648177566830252516183f,1.2392557177584351268962f,\ +0.9782724873844932389488f,2.273137605702431063293f,2.183266240754464071472f,\ +0.7259787064172199544387f,2.1430219045760425800040f,1.9087566867408878312773f,\ +2.2140679701900434217521f,-1.255758284393388990452f,0.8619787703734573813819f,\ +1.9480996873952269865526f,0.1844248666526293323198f,2.114737753111020968078f,\ +1.1509115140149177580753f,1.668685731123507043350f,1.7431248863402162285752f,\ +-0.7381122661087159420035f,2.1100458798366994450646f,1.7576584357875708608532f,\ +1.0266895216506544131f,2.2560290788762715763482f,2.205099558817555038814f,\ +1.2119854107561658373982f,0.1617897676032789000544f,2.2250260402856771868585f,\ +1.9828853838780200469216f,2.1982793473903963210603f,1.373460672957984574083f,\ +1.73257189512379894403f,1.9546560315313432631967f,1.9151314791431239825670f,\ +1.4189881394992434060498f,0.3381072372999247011016f,1.5998634493586285643119f,\ +1.4338640873752146465137f,2.15480666756291494579f,1.0499504925567986202140f,\ +0.9211335334181942613441f,1.2205648705022635880368f} + + + + + + + + +#define CSOURCER {0.3140813848003745079041f,0.5769402063451707363129f,0.1306138429790735244751f,\ +0.0478980806656181812286f,0.4500174494460225105286f,0.0384718659333884716034f,\ +0.483350999653339385986f,0.2981918179430067539215f,0.7112689120694994926453f,\ +0.9268360524438321590424f,0.9477838929742574691772f,0.1729496796615421772003f,\ +0.2750928336754441261292f,0.0044281478039920330048f,0.0611358620226383209229f,\ +0.1950612799264490604401f,0.3789803450927138328552f,0.2549188635312020778656f,\ +0.1764185149222612380981f,0.6008180272765457630157f,0.3703392641618847846985f,\ +0.2908470141701400279999f,0.5384815335273742675781f,0.8090293356217443943024f,\ +0.9260985879227519035339f,0.1576966657303273677826f,0.9518593531101942062378f,\ +0.2709982101805508136749f,0.1609848598018288612366f,0.8782086591236293315887f,\ +0.5091647170484066009521f,0.7951062084175646305084f,0.8432204117998480796814f,\ +0.5806765086017549037933f,0.3487791065126657485962f,0.9397577759809792041779f,\ +0.4363934816792607307434f,0.5549766751937568187714f,0.9105900451540946960449f,\ +0.5684339576400816440582f,0.1862502051517367362976f,0.0800832151435315608978f,\ +0.6585252787917852401733f,0.1606054832227528095245f,0.9711584830656647682190f,\ +0.3668168033473193645477f,0.7386338301002979278564f,0.9722552285529673099518f,\ +0.1349937235936522483826f,0.4595781317912042140961f,0.5414639282971620559692f,\ +0.6397600513882935047150f,0.0211964594200253486633f,0.4408156829886138439178f,\ +0.6374878138303756713867f,0.3208820023573935031891f,0.4267518399283289909363f,\ +0.7819778784178197383881f,0.0543234180659055709839f,0.9666189108975231647491f,\ +0.6948409983888268470764f,0.1846996019594371318817f,0.3645029179751873016357f,\ +0.8176643461920320987701f,0.664914294146001338959f,0.7559730983339250087738f,\ +0.5525381658226251602173f,0.7192269531078636646271f,0.1989364298060536384583f,\ +0.8610532465390861034393f,0.1300329938530921936035f,0.347959163133054971695f,\ +0.5025534434244036674500f,0.4978472082875669002533f,0.4675923939794301986694f,\ +0.9447452803142368793488f,0.9599315756931900978088f,0.5365384514443576335907f,\ +0.8122785724699497222900f,0.6470989421941339969635f,0.7010180121287703514099f,\ +0.6681951484642922878265f,0.9593638796359300613403f,0.0149199557490646839142f,\ +0.6199735002592206001282f,0.4061129498295485973358f,0.0471306145191192626953f,\ +0.8433605083264410495758f,0.0635268418118357658386f,0.9836421324871480464935f,\ +0.4434677045792341232300f,0.8565507535822689533234f,0.9080012599006295204163f,\ +0.4922491232864558696747f,0.1930142603814601898193f,0.3759337724186480045319f,\ +0.2437626412138342857361f,0.1035623974166810512543f,0.9936000052839517593384f,\ +0.5569599089212715625763f,0.3858396532014012336731f,0.7191527518443763256073f,\ +0.1707325801253318786621f,0.2878904812969267368317f,0.4294657362625002861023f,\ +0.8917979537509381771088f,0.6188817229121923446655f,0.3444608678109943866730f,\ +0.0692929709330201148987f,0.3619817639701068401337f,0.1783103235065937042236f,\ +0.8941529677249491214752f,0.9010278200730681419373f,0.0533773354254662990570f,\ +0.4162023533135652542114f,0.9438270372338593006134f,0.9242387460544705390930f,\ +0.8710649865679442882538f,0.2808376699686050415039f,0.8244629004038870334625f,\ +0.4650857029482722282410f,0.1462343498133122920990f,0.5975636970251798629761f,\ +0.3067605351097881793976f,0.2377215037122368812561f,0.0711208949796855449677f,\ +0.8753139786422252655029f,0.4413500339724123477936f,0.7631150623783469200134f,\ +0.9679268277250230312347f,0.3924236092716455459595f,0.717360940296202898026f,\ +0.8640465112403035163879f,0.7354763629846274852753f,0.0304915383458137512207f,\ +0.6331009590066969394684f,0.4550241930410265922546f,0.3173553734086453914642f,\ +0.8250397499650716781616f,0.2725940425880253314972f,0.3458735281601548194885f,\ +0.5352854127995669841766f,0.7017193175852298736572f,0.9817278520204126834869f,\ +0.2777477568015456199646f,0.1314821145497262477875f,0.366813333705067634583f,\ +0.7377605927176773548126f,0.9103105561807751655579f,0.3637479650788009166718f,\ +0.8207867145538330078125f,0.3059372254647314548492f,0.9788405327126383781433f,\ +0.9970494522713124752045f,0.4636328797787427902222f,0.7769650523550808429718f,\ +0.3400075891986489295959f,0.0353285889141261577606f,0.2607673071324825286865f,\ +0.5790986777283251285553f,0.1250711670145392417908f,0.0372988111339509487152f,\ +0.9382179621607065200806f,0.5585843441076576709747f,0.7192503632977604866028f,\ +0.3599752518348395824432f,0.6758626028895378112793f,0.2222136431373655796051f,\ +0.7860159231349825859070f,0.1736893891356885433197f,0.2674629595130681991577f,\ +0.7357366015203297138214f,0.0550541067495942115784f,0.5923380698077380657196f,\ +0.2162457890808582305908f,0.7718841419555246829987f,0.0926524316892027854919f,\ +0.7626169077120721340179f,0.7347808051854372024536f,0.8017499190755188465118f,\ +0.7732572900131344795227f,0.2559880572371184825897f,0.1179054826498031616f,\ +0.9232815303839743137360f,0.6709534404799342155457f,0.6071323617361485958099f,\ +0.4574467372149229049683f,0.8206311021931469440460f,0.0896153757348656654358f,\ +0.3426358769647777080536f,0.1674894802272319793701f,0.9481152505613863468170f,\ +0.9504805644974112510681f,0.3436607695184648036957f,0.2889420483261346817017f,\ +0.5325344172306358814240f,0.2558945687487721443176f,0.8863505902700126171112f,\ +0.0421485081315040588379f,0.4876015805639326572418f} + +#define CSOURCEI {0.347978035919368267059f,0.2037199228070676326752f,0.5962978359311819076538f,\ +0.8342303414829075336456f,0.6809655660763382911682f,0.9127784068696200847626f,\ +0.5243799723684787750244f,0.7204323844052851200104f,0.3259664541110396385193f,\ +0.1506391367875039577484f,0.9124387521296739578247f,0.6345743131823837757111f,\ +0.9268973069265484809875f,0.7633614349178969860077f,0.5918717086315155029297f,\ +0.9057438620366156101227f,0.3263365356251597404480f,0.3912780000828206539154f,\ +0.4635267537087202072144f,0.0849754814989864826202f,0.5800507226958870887756f,\ +0.7945564310066401958466f,0.3823457323014736175537f,0.3010852993465960025787f,\ +0.5789428642019629478455f,0.2627451247535645961761f,0.5713048521429300308228f,\ +0.1848654565401375293732f,0.9971724869683384895325f,0.4520535501651465892792f,\ +0.0334019884467124938965f,0.4553878181613981723785f,0.7851976407691836357117f,\ +0.4941168962977826595306f,0.9304408635944128036499f,0.7621670593507587909698f,\ +0.9264887655153870582581f,0.7199950958602130413055f,0.3973621018230915069580f,\ +0.8769331262446939945221f,0.6766644334420561790466f,0.8431562236510217189789f,\ +0.7608711589127779006958f,0.8287630719132721424103f,0.0037989662960171699524f,\ +0.9451942699961364269257f,0.6311131268739700317383f,0.0763222672976553440094f,\ +0.4486519275233149528503f,0.1080312891863286495209f,0.8351444136351346969604f,\ +0.3109649871475994586945f,0.1235694894567131996155f,0.0363539229147136211395f,\ +0.6609512977302074432373f,0.9844443709589540958405f,0.0688076755031943321228f,\ +0.5140342987142503261566f,0.3807653579860925674438f,0.1549817589111626148224f,\ +0.6850274773314595222473f,0.0382853033952414989471f,0.5224257782101631164551f,\ +0.7454454028047621250153f,0.4607118470594286918640f,0.4753002314828336238861f,\ +0.8575385268777608871460f,0.8073885519988834857941f,0.7132545644417405128479f,\ +0.0811268086545169353485f,0.5751824118196964263916f,0.884696914348751306534f,\ +0.5624709790572524070740f,0.7315255901776254177094f,0.6099120099097490310669f,\ +0.0705954921431839466095f,0.8552806274965405464172f,0.7045627343468368053436f,\ +0.5928074717521667480469f,0.8517647930420935153961f,0.2603117255493998527527f,\ +0.8596871509216725826263f,0.3943212013691663742065f,0.3333164160139858722687f,\ +0.2511775353923439979553f,0.5570420245639979839325f,0.7276714108884334564209f,\ +0.9383780122734606266022f,0.1971746077761054039001f,0.1607607132755219936371f,\ +0.7815325502306222915649f,0.1760376212187111377716f,0.2801528992131352424622f,\ +0.4699970218352973461151f,0.3507726117968559265137f,0.5713973813690245151520f,\ +0.4563077641651034355164f,0.9214398502372205257416f,0.4339873101562261581421f,\ +0.3514866163022816181183f,0.1816438222303986549377f,0.9070622171275317668915f,\ +0.7665811367332935333252f,0.9807842955924570560455f,0.1198607003316283226013f,\ +0.0508546582423150539398f,0.2581452894955873489380f,0.1401008707471191883087f,\ +0.5514106499031186103821f,0.7882929998449981212616f,0.8028824776411056518555f,\ +0.2425694861449301242828f,0.7024780390784144401550f,0.0922905071638524532318f,\ +0.4318286012858152389526f,0.0804965649731457233429f,0.7126307198777794837952f,\ +0.6893844078294932842255f,0.2756213061511516571045f,0.6968217701651155948639f,\ +0.4598932703956961631775f,0.6099067903123795986176f,0.3065654132515192031860f,\ +0.0749373403377830982208f,0.9619921119883656501770f,0.4158898773603141307831f,\ +0.3287452235817909240723f,0.7406168007291853427887f,0.5725225014612078666687f,\ +0.9504556744359433650970f,0.1849336978048086166382f,0.8698030491359531879425f,\ +0.6907873982563614845276f,0.9524399931542575359344f,0.6490485109388828277588f,\ +0.9960058168508112430573f,0.2040582066401839256287f,0.3800008497200906276703f,\ +0.9729049820452928543091f,0.9110585046000778675079f,0.3810073928907513618469f,\ +0.7869612383656203746796f,0.5560158789157867431641f,0.8529843934811651706696f,\ +0.4350629774853587150574f,0.5956362797878682613373f,0.7071880977600812911987f,\ +0.5747222309000790119171f,0.4764349022880196571350f,0.6098947445861995220184f,\ +0.9666662178933620452881f,0.3874611915089190006256f,0.0715632727369666099548f,\ +0.6122049516998231410980f,0.9575729314237833023071f,0.7723352131433784961700f,\ +0.1287384750321507453918f,0.3884150418452918529510f,0.2353963479399681091309f,\ +0.6542267077602446079254f,0.3286431683227419853210f,0.024017625954002141953f,\ +0.1042741741985082626343f,0.9314296473748981952667f,0.8185661518946290016174f,\ +0.8156488086096942424774f,0.8688247688114643096924f,0.3549220249988138675690f,\ +0.3890381073579192161560f,0.6415715864859521389008f,0.4902750719338655471802f,\ +0.3509976905770599842072f,0.8516392158344388008118f,0.1348936217837035655975f,\ +0.1156354099512100219727f,0.8810075619257986545563f,0.8367286501452326774597f,\ +0.5032693906687200069427f,0.4486711751669645309448f,0.9319602106697857379913f,\ +0.7298459419980645179749f,0.3388367067091166973114f,0.4314213804900646209717f,\ +0.7317318231798708438873f,0.9655342241749167442322f,0.2621376193128526210785f,\ +0.2050140891224145889282f,0.2826355365104973316193f,0.3973353477194905281067f,\ +0.7437736871652305126190f,0.8185287192463874816895f,0.3071001493372023105621f,\ +0.9627068741247057914734f,0.9475456266663968563080f,0.6546552237123250961304f,\ +0.1992082078941166400909f,0.3616109425202012062073f,0.9388273353688418865204f,\ +0.0409001447260379791260f,0.0758434669114649295807f} + +#define CRESULTR {-0.7576646139762764908809f,-0.4912662732014974609207f,-0.4935831983604013761813f,\ +-0.1796001444111503253520f,-0.2030603062114124668369f,-0.0903746939402042676059f,\ +-0.3380442117380291211504f,-0.2488385719103628768156f,-0.2453827611475934422636f,\ +-0.0629419446509737884332f,0.2743030686751847802007f,-0.4189753318430110562431f,\ +-0.0337034837449739430038f,-0.2700068328094388236948f,-0.5191589716059612502619f,\ +-0.0763304013057857499991f,-0.6929039668216129266298f,-0.7614418400301237177530f,\ +-0.7012514181881327468560f,-0.4995602487864141960650f,-0.3736855282655331400576f,\ +-0.1670990767606896909570f,-0.4148838171877601843640f,-0.1470641870540525808497f,\ +0.0881657571965975273010f,-1.1827451998005302780115f,0.1044920740886167709327f,\ +-1.1145963776166571967963f,0.0100332050022288142566f,-0.0123498399546466911675f,\ +-0.6728365416861274983518f,-0.0874315516128119363248f,0.1416698281269971604335f,\ +-0.2712125731855208887744f,-0.0063567040970050154788f,0.1906009971260032298535f,\ +0.0238331967155752874610f,-0.0953429917974444041118f,-0.0065067191893498198957f,\ +0.0440644425532304637172f,-0.3540655459766552382028f,-0.1661126167793314234444f,\ +0.0062509933701612868662f,-0.1693877982336349785619f,-0.0292579566847096204929f,\ +0.0137816953226981269570f,-0.0288761524361324552201f,-0.0250652390791611112686f,\ +-0.7581745137578204118967f,-0.7505545612383084375097f,-0.0046973071232757198853f,\ +-0.3406170651999906873186f,-2.0764518222153585114143f,-0.8157393323281721952966f,\ +-0.0852474852363154095292f,0.0348077956215509243254f,-0.8387202021909221372198f,\ +-0.0663540586103768398329f,-0.9554969196553003696337f,-0.0212599130834864695483f,\ +-0.0245601140031842454792f,-1.6679899099681032570430f,-0.4509584277017124609443f,\ +0.1011698547763601602201f,-0.2120439010955574854478f,-0.1131958883879479044188f,\ +0.0199327284817682297280f,0.0781443465987670671247f,-0.3004592565973881468366f,\ +-0.1451799924584522560878f,-0.5281452333714923286223f,-0.0505933914241510074294f,\ +-0.2819958038859460280889f,-0.122323084811984963971f,-0.2632782651610236501760f,\ +-0.0540558326414990047981f,0.2512879183645665981395f,-0.1214932149359973512226f,\ +0.0055773659320434761794f,0.0673704632706614986448f,-0.2906343733694730646633f,\ +0.0851020319327377705587f,0.0365640112295984101576f,-1.0976622196833336619903f,\ +-0.4020870876485082012763f,-0.3719849821436939651953f,-0.3158125612041708385469f,\ +0.2324359424588408329360f,-1.5742845766045041600023f,-0.0033130260706617652329f,\ +-0.1069329039454427060507f,-0.1341564770393289252048f,-0.0510429776001832605226f,\ +-0.3847912680433241972011f,-0.9153668051115183557087f,-0.3798345871473772783489f,\ +-0.6590618454479428844905f,-0.0755413642077243097095f,0.0808833545731707098669f,\ +-0.417646722764209388234f,-0.8522405945532404158982f,0.1463133685463073596633f,\ +-0.2416082657366604991012f,0.0219217192558878656850f,-0.8077093656959043466159f,\ +-0.1128924015633438332484f,-0.3996389102953575300781f,-0.9892317511551623754329f,\ +-0.5874413267393940873973f,-0.1422192352759769073955f,-0.1954743580270074387872f,\ +-0.0763719684521397823573f,0.1332266112260754309382f,-2.2385346085566988350024f,\ +-0.5112419918132667939759f,-0.0541885453710462053345f,0.1544990573544810508189f,\ +0.1051325180789595692410f,-0.9326914829433226028499f,0.0764891336322670034598f,\ +-0.4245421077023512346216f,-0.4665013282915527192962f,-0.3980722181205589849107f,\ +-1.152706389176620049852f,-0.0091123646200983177135f,-0.8629224644504486230190f,\ +-0.0671956049468366567456f,-0.1483256896732535745631f,-0.0470857769330114903084f,\ +0.3049502630226416100001f,-0.8351336293434713509143f,0.1199665328310368234144f,\ +0.100965515388687754328f,0.1851149271955789266109f,-0.4311455286578065315695f,\ +0.1656739977240755667953f,-0.6957805672270640506838f,-0.7030137346248552798755f,\ +0.2434410334133135511703f,-0.0502776447144934607314f,-0.6643994214275527054880f,\ +-0.0494471424057717073852f,-0.1105954430789197057150f,0.2627700024490645658304f,\ +-0.6613338575819812659162f,-0.4943364682181946023753f,-0.2273273919604619497381f,\ +-0.0669964153308245241591f,0.0270809622513717325465f,-0.3423076587443550367063f,\ +0.2375373770411028651051f,-0.7058599113455784612725f,-0.0187211007688289424178f,\ +0.1570046667576522059218f,0.0619494218295955287323f,0.0912342621811634557627f,\ +-1.0118000314587793919685f,-0.9415613562651380386015f,-1.04611739737066766764f,\ +-0.1350076179226963601909f,-1.045153664947628735504f,-3.1153566294303054462489f,\ +-0.0576346967934074291828f,0.0825782285147220879162f,0.0858710750707356584854f,\ +-0.1147913938093602786994f,0.0959901869720326261781f,-0.8704897942843184965866f,\ +-0.1312205414500346722928f,-0.4084692473683823599195f,-0.5825265796688483543875f,\ +-0.2043543873503067542785f,-0.1585071715930248537063f,-0.4983971045262390875408f,\ +-1.405591688480441803222f,0.1581272765392360557524f,-0.1721619754559372272862f,\ +-0.0902428450071243726249f,-0.1497365537505691013287f,0.2065025609822116192671f,\ +0.0613750886386554700413f,-0.8564551079948240497330f,-0.804653684520539647096f,\ +0.1638887899169061412863f,0.1619231669215081825808f,-0.4135383706484943022730f,\ +-0.6905772083929240245936f,-0.1416337472709212619293f,-0.8981660716461068449945f,\ +-0.1997922350746098307805f,-0.1797380100619248022298f,-0.0033949848444226812805f,\ +0.3022174959979692654422f,0.0079098230306947625579f,-0.3346557902575436060921f,\ +-0.5646231542298842942529f,-0.8141969637368523526888f,0.2555170413707821830407f,\ +-2.8347892907784113525338f,-0.7063037006217763869032f} + +#define CRESULTI {0.8365523024247201178127f,0.3394374381847692356828f,1.355160662925530390410f,\ +1.5134434006476746858993f,0.9868300791435297147913f,1.528673168936313331301f,\ +0.8260899014265745687879f,1.1783591647662248202977f,0.4297253343366602140740f,\ +0.1611216299891750081130f,0.7663999599077054858398f,1.3047144916618338417180f,\ +1.2822880914611145541926f,1.5649955384218765530591f,1.4678689248356304730692f,\ +1.3586758006659467312716f,0.7108977814935093508808f,0.9933651109027943348906f,\ +1.2071246910756632253481f,0.1405010934420483359464f,1.0025763105214653414521f,\ +1.21989563358396813086f,0.6174353300937470701015f,0.3562751652356153653223f,\ +0.5587012199090121145062f,1.0302380576516638743811f,0.5405656721364887618009f,\ +0.5986555168040823549092f,1.4107360213988626718162f,0.4753739371565622318094f,\ +0.0655076733245526648952f,0.5201329289544929235234f,0.7497818580560413614933f,\ +0.7050355621930805005704f,1.2121540141336599738509f,0.6814274485183255958276f,\ +1.1306014284455374596661f,0.9141116926495304051414f,0.4114688990228685949724f,\ +0.9956827833608694611200f,1.3022000158632660582469f,1.4761001233596913184698f,\ +0.8573788009054216230354f,1.379379585022410426021f,0.0039117682490215858332f,\ +1.2006025140002900553071f,0.7070620318380608226860f,0.0783395850399789817065f,\ +1.2785255791075276210478f,0.2308747034561683952880f,0.9955835564035591112031f,\ +0.4524376138027601523817f,1.4009149235535949262754f,0.0822834615192538504358f,\ +0.8034667275967887212218f,1.2557032585647818212493f,0.1598599852603853899158f,\ +0.5815258576469973794687f,1.4290836436420499833133f,0.1589807896730044689537f,\ +0.7782863583371778526399f,0.2043896563749957318024f,0.9616073478994561218869f,\ +0.7392289023091881405847f,0.6059375681629087795343f,0.5612744745893767372991f,\ +0.9984170767670760282542f,0.8430838000818645650014f,1.29879528501095431459f,\ +0.0939407915654127262384f,1.3484611857054962236191f,1.1960714214373144859138f,\ +0.8415982269448546437829f,0.9732366936364994502995f,0.9167206383382787704406f,\ +0.0745857498941502189416f,0.7278097264573785141195f,0.9199632393837048338625f,\ +0.6304525502744320331061f,0.9211062195464506663356f,0.3555526540057888373880f,\ +0.9100796877015666641597f,0.3899732161636976779384f,1.5260640477653748536824f,\ +0.3849315818496458763143f,0.9408368768631211187525f,1.5061175798419510485360f,\ +0.838676229611447277001f,1.2591119550131308901797f,0.1620018843959732390836f,\ +1.0546671087981356329522f,0.2026968016035011754816f,0.299271305708051660321f,\ +0.7622771187183752239491f,1.067757629024185028754f,0.9888735682758375000745f,\ +1.0801593307389727449674f,1.4588740911245949849473f,0.4118082358815949306496f,\ +0.5629599662610861310341f,0.4399958138718327860239f,0.9004381750108224613527f,\ +1.3516535386697041687398f,1.2852850170743990165789f,0.2721670546404741375390f,\ +0.0569631738604013462823f,0.3951736758236387148102f,0.3862903740059538404417f,\ +1.4457867030840705346861f,1.1403205655573340759901f,1.3522555755333163229892f,\ +0.264908300074692404369f,0.6622029195378335009181f,1.0464389789763977045567f,\ +0.8038225849224520658254f,0.0850815175089563863198f,0.6568351393392068970911f,\ +0.669491640154789569017f,0.7760242270392859742500f,0.7016907095208140265896f,\ +0.7797846541592131641707f,1.335473484345777617222f,0.4740136251481967821775f,\ +0.2395937042296285568455f,1.3285359486862795552753f,1.401425714315664317056f,\ +0.3592738595863486095183f,1.0333805631652628331807f,0.6436572543635337151358f,\ +0.7762911838119904706090f,0.4403927201098556398762f,0.8811512979588507210593f,\ +0.674423430961778702653f,0.9132365009577151360176f,1.5238520140402758151765f,\ +1.00458246450610100275f,0.4215689680173497211335f,0.874990498737184374534f,\ +0.8674547514202983755638f,1.2800682610709759323697f,0.8336956783393613124034f,\ +0.9734878037135866746254f,0.6700663792657182149526f,0.7153420705223627606983f,\ +1.0026132338500262086711f,1.3535381134312993722801f,1.0923065980664201646277f,\ +0.6618099327465949421878f,0.4821732258146940175436f,1.033019939116806895640f,\ +0.8668307442664776596430f,0.9024324853624734465996f,0.0729804020494689703602f,\ +0.5506621520352920073904f,1.1198886719657494825952f,0.7824098301910974440077f,\ +0.3619529370272654977825f,1.4800901440707066036850f,0.7343084050589578914980f,\ +0.8462379976616437593506f,1.2071528313995831815930f,0.5720924999360996743292f,\ +0.1106864208392598775132f,1.0305927183418297499173f,0.8498909387724447039858f,\ +1.15517062965696792887f,0.9096742728488710350021f,1.01141253782177353848f,\ +0.4595989696224830889371f,1.3064089912173471041967f,1.071386424855859109684f,\ +0.4451357270611538408112f,1.5062412806888749727818f,0.2239121309027737871666f,\ +0.4910523338147070870896f,0.8513221989625705532490f,1.460513851259993778342f,\ +0.5833202395880134893957f,0.5481910770820362932554f,0.8603624185522980027940f,\ +0.7565250407629732221082f,0.9237902776741101495972f,1.3040155501467787235725f,\ +0.6701717740731456540715f,0.9634987985586029868301f,0.4075854524817449364704f,\ +0.4213313914917447000619f,0.3316883655770838101873f,1.3489670985956061510791f,\ +1.1391029061589752480188f,1.3689599297259111843061f,0.3132420296422914196555f,\ +0.7917886209906572769768f,1.2228656637749606428400f,1.1551462426298317875961f,\ +0.3579601167993540777879f,0.9549534865181378284760f,0.8141418225805733266398f,\ +0.7703675837106083168493f,0.1543074266086776613616f} + +#define CSOURCE2R {3.9219759730622172355652f,4.6815521270036697387695f,3.361602746881544589996f,\ +5.3368766140192747116089f,2.03906395938247442245f,1.5899897180497646331787f,\ +0.1818151073530316352844f,4.0983706060796976089478f,0.1058345986530184745789f,\ +1.9653097167611122131348f,2.7255953708663582801819f,3.4376550372689962387085f,\ +2.0337020372971892356873f,3.0119446106255054473877f,2.7625959040597081184387f,\ +2.9445307422429323196411f,5.7180739520117640495300f,2.141770124435424804688f,\ +6.8954616272822022438049f,5.8555728476494550704956f,4.2041230341419577598572f,\ +4.2775720171630382537842f,3.1845858739688992500305f,5.7618944440037012100220f,\ +4.2549022240564227104187f,9.7619816288352012634277f,2.518960000015795230866f,\ +4.3911290075629949569702f,0.7593036955222487449646f,2.5593801774084568023682f,\ +0.6706167431548237800598f,7.6511315722018480300903f,0.4173615900799632072449f,\ +3.438271805644035339356f,1.9701673323288559913635f,2.1228986512869596481323f,\ +3.1403985014185309410095f,7.8216253779828548431396f,0.5409323470667004585266f,\ +9.1902069095522165298462f,4.6035157097503542900085f,2.9926850274205207824707f,\ +0.0291663268581032752991f,8.9934705849736928939819f,8.3879271661862730979919f,\ +4.3437494523823261260986f,7.7678761305287480354309f,1.3953176606446504592896f,\ +1.1506372271105647087097f,5.3554199635982513427734f,4.3117330456152558326721f,\ +6.145384786650538444519f,9.2589621385559439659119f,0.9938172809779644012451f,\ +4.2805786477401852607727f,9.431830951943993568420f,0.3273952705785632133484f,\ +9.2132670804858207702637f,9.4490244099870324134827f,9.007069906219840049744f,\ +8.0943161016330122947693f,0.2519542910158634185791f,0.0196450622752308845520f,\ +5.0752213317900896072388f,4.0760429529473185539246f,8.4080461412668228149414f,\ +5.017265700735151767731f,9.1287807654589414596558f,4.4357294728979468345642f,\ +5.9837839566171169281006f,7.7418426470831036567688f,7.9220082703977823257446f,\ +5.5046048713847994804382f,4.0850437059998512268066f,7.2174380579963326454163f,\ +4.768535858020186424255f,6.3930579042062163352966f,9.963865298777818679810f,\ +1.5747882844880223274231f,5.3506936598569154739380f,2.1290646074339747428894f,\ +5.59145063161849975586f,4.304965981282293796539f,0.2280548494309186935425f,\ +5.7614597817882895469666f,7.1491303853690624237061f,9.3216359661892056465149f,\ +1.2326993141323328018188f,2.8655522270128130912781f,0.1247995719313621520996f,\ +5.7694048294797539710999f,3.9386960770934820175171f,6.8885837262496352195740f,\ +9.7023218311369419097900f,8.51576429326087236404f,3.3933044690638780593872f,\ +8.7725317804142832756042f,1.1314024776220321655273f,5.2641283208504319190979f,\ +5.297394050285220146179f,9.2917560925707221031189f,9.7654302977025508880615f,\ +6.2254639761522412300110f,9.822583282366394996643f,7.5429888023063540458679f,\ +5.4547880962491035461426f,7.2860160330310463905334f,0.2525969501584768295288f,\ +4.0251684701070189476013f,0.9831319935619831085205f,2.6086253346875309944153f,\ +3.6363423336297273635864f,1.7466178117319941520691f,9.2341394722461700439453f,\ +7.6051409030333161354065f,5.6402041297405958175659f,3.7970651825889945030212f,\ +8.7762261740863323211670f,8.21742579806596040726f,6.787058124318718910217f,\ +0.8220098121091723442078f,2.5527314469218254089355f,7.4444567272439599037170f,\ +2.2695036139339208602905f,6.836930788122117519379f,9.3650726415216922760010f,\ +5.0530174048617482185364f,2.5248145777732133865356f,6.8188397912308573722839f,\ +2.8363681584596633911133f,1.409485661424696445465f,6.7591095995157957077026f,\ +4.5126775791868567466736f,7.5430292449891567230225f,1.3702143030241131782532f,\ +6.6082405392080545425415f,3.8900542212650179862976f,7.001820541918277740479f,\ +9.168005720712244510651f,2.1228999551385641098022f,2.6978330826386809349060f,\ +3.1998893804848194122314f,0.2321802498772740364075f,7.26544727571308612823f,\ +1.5340585587546229362488f,2.3552638292312622070312f,0.8797382796183228492737f,\ +7.1059537213295698165894f,6.8887275597080588340759f,6.5953194908797740936279f,\ +1.8151161121204495429993f,3.9049659762531518936157f,1.5869047446176409721375f,\ +6.2407150492072105407715f,6.3760355720296502113342f,4.2704886104911565780640f,\ +1.0716815060004591941833f,2.3822965659201145172119f,9.4629473658278584480286f,\ +4.5766852516680955886841f,8.9644787041470408439636f,4.4384705275297164916992f,\ +8.08956819120794534683f,6.8317985069006681442261f,0.3401931514963507652283f,\ +2.3805456422269344329834f,9.4920115964487195014954f,2.1827886346727609634399f,\ +6.1546878470107913017273f,8.3135433867573738098145f,7.7340125897899270057678f,\ +4.2441909667104482650757f,7.262125960551202297211f,7.0999773032963275909424f,\ +4.7457459988072514533997f,9.4386920798569917678833f,1.4596485672518610954285f,\ +0.7141010463237762451172f,6.7337385797873139381409f,6.536924717947840690613f,\ +1.996896131895482540131f,6.01412517949938774109f,1.8993748771026730537415f,\ +2.5839814636856317520142f,0.9878737432882189750671f,0.6199027225375175476074f,\ +0.4034968325868248939514f,7.4001471605151891708374f,6.1626600986346602439880f,\ +6.5835834480822086334229f,2.5145971449092030525208f,3.8433500844985246658325f,\ +4.3964602379128336906433f,6.5407369285821914672852f,5.878106378950178623200f,\ +6.0208318661898374557495f,0.4535020282492041587830f,2.0294443331658840179443f,\ +7.844273825176060199738f,2.6375361625105142593384f} + +#define CSOURCE2I {4.3832763982936739921570f,8.6648589745163917541504f,3.7921421090140938758850f,\ +7.6687160786241292953491f,6.0066213225945830345154f,7.85673560574650764465f,\ +7.3871155502274632453918f,5.5442603398114442825317f,9.9291495559737086296082f,\ +9.757428467273712158203f,3.709622272290289402008f,3.0322382133454084396362f,\ +9.5195201179012656211853f,7.1278580836951732635498f,1.192370061762630939484f,\ +5.0091631803661584854126f,3.2900535268709063529968f,4.8089468106627464294434f,\ +3.3036959776654839515686f,6.3044753577560186386108f,2.1171907847747206687927f,\ +4.4860231317579746246338f,5.9145097108557820320129f,6.8067426700145006179810f,\ +0.7392961112782359123230f,9.4336947053670883178711f,1.2863306934013962745667f,\ +2.0190807711333036422729f,1.9693034281954169273376f,8.9286901615560054779053f,\ +4.6179189579561352729797f,6.2512917164713144302368f,7.0597065938636660575867f,\ +7.0181696489453315734863f,4.0879997471347451210022f,0.6362213846296072006226f,\ +0.6573933875188231468201f,5.3310041315853595733643f,0.3315818728879094123840f,\ +3.157835649326443672180f,3.785823243670165538788f,4.6195234358310699462891f,\ +6.2873698258772492408752f,2.8785153012722730636597f,3.2920487364754080772400f,\ +4.7192330472171306610107f,3.3537696348503232002258f,5.5530697200447320938110f,\ +1.196080814115703105927f,7.6139996573328971862793f,4.7909884760156273841858f,\ +2.8169692959636449813843f,2.380097783170640468597f,3.2942054606974124908447f,\ +2.3067280324175953865051f,2.1362966019660234451294f,4.0549980429932475090027f,\ +3.0953712016344070434570f,6.762971603311598300934f,9.7069163154810667037964f,\ +5.4417965700849890708923f,0.2047479711472988128662f,8.9413649635389447212219f,\ +3.4903638903051614761353f,1.1053651524707674980164f,2.0233777537941932678223f,\ +1.3046909729018807411194f,8.573952978476881980896f,6.3780163740739226341248f,\ +4.0711227245628833770752f,6.6919379355385899543762f,2.042601602151989936829f,\ +8.3104313490912318229675f,0.1221632957458496093750f,4.8844617092981934547424f,\ +9.549877075478434562683f,0.5874312063679099082947f,8.2584649138152599334717f,\ +2.9807415651157498359680f,0.7757596764713525772095f,5.8460923237726092338562f,\ +7.528713606297969818115f,0.5172297963872551918030f,5.9586250688880681991577f,\ +3.8337053125724196434021f,4.9002202786505222320557f,5.2727950783446431159973f,\ +0.6889454741030931472778f,8.843077751807868480682f,7.1912937611341476440430f,\ +0.6942595774307847023010f,1.1522095929831266403198f,4.862680672667920589447f,\ +7.6715826056897640228271f,0.8805298106744885444641f,7.0085612777620553970337f,\ +1.879138792864978313446f,2.0178856328129768371582f,4.0628212550655007362366f,\ +4.0966569539159536361694f,1.769564501009881496429f,3.31293122842907905579f,\ +0.5184767069295048713684f,4.1492417920380830764771f,7.2212355909869074821472f,\ +0.7746253907680511474609f,5.8558783913031220436096f,3.7079446297138929367065f,\ +2.1161167463287711143494f,1.903268527239561080933f,5.607953821308910846710f,\ +9.4247916433960199356079f,6.8177247745916247367859f,2.7342410013079643249512f,\ +2.0717754075303673744202f,1.9379387702792882919312f,6.797837591730058193207f,\ +5.88365742936730384827f,9.331753817386925220490f,5.509122880175709724426f,\ +8.0405469564720988273621f,1.074489727616310119629f,7.4039250845089554786682f,\ +5.6103316973894834518433f,7.6611549546942114830017f,7.8306589089334011077881f,\ +1.4388314681127667427063f,1.6471924725919961929321f,3.1774142337962985038757f,\ +5.0265956297516822814941f,6.9204960623756051064f,7.0065794046968221664429f,\ +8.8706119870766997337341f,6.9797694869339466094971f,6.7989911558106541633606f,\ +3.6159398127347230911255f,2.6739976881071925163269f,0.7736870646476745605469f,\ +1.494100340642035007477f,3.2018390577286481857300f,2.0260545751079916954041f,\ +4.4988587312400341033936f,7.7075743721798062324524f,2.4352242145687341690063f,\ +2.1261148853227496147156f,1.0992341861128807067871f,6.9814807781949639320374f,\ +4.1509064938873052597046f,5.0298188393935561180115f,7.51160675659775733948f,\ +9.9401472182944416999817f,1.82876241393387317657f,3.021917375735938549042f,\ +3.7854864448308944702148f,7.1531985932961106300354f,9.5241537224501371383667f,\ +4.7039186349138617515564f,1.8709417246282100677490f,2.55718790460377931595f,\ +4.4350660685449838638306f,7.2340781940147280693054f,8.7619100883603096008301f,\ +0.3733208635821938514710f,4.2934664245694875717163f,3.1572330510243773460388f,\ +3.682477343827486038208f,1.4587742509320378303528f,6.7683792579919099807739f,\ +5.2619793592020869255066f,4.003625661134719848633f,0.0291080260649323463440f,\ +3.0681814532727003097534f,7.9026939114555716514587f,9.5779503695666790008545f,\ +6.6892711864784359931946f,2.9296159837394952774048f,8.2238993747159838676453f,\ +0.1798455044627189636231f,8.7107013771310448646545f,3.1810243334621191024780f,\ +5.7244732743129134178162f,5.7386581040918827056885f,3.4920182498171925544739f,\ +7.06729766912758350372f,3.5992007283493876457214f,4.0523112565279006958008f,\ +6.1408105725422501564026f,6.5240467619150876998901f,0.2951709320768713951111f,\ +5.6688958965241909027100f,7.1140170888975262641907f,4.5884906593710184097290f,\ +4.7205173922702670097351f,0.6237313523888587951660f,0.8544011274352669715881f,\ +0.1345641072839498519898f,3.5430019116029143333435f,6.7193946428596973419189f,\ +1.3606189610436558723450f,2.1197437215596437454224f} + +#define CRESULT2R {1.7718546901199148102535f,2.2873385372432406548171f,1.6228701567171754938101f,\ +2.2346263074245684698838f,1.8473969837167181218263f,2.0814403666906242662549f,\ +2.000040135761198101250f,1.930738025076279118508f,2.2955316341715112926636f,\ +2.2979125914561788768253f,1.52676863913911398107f,1.5225454413433419098567f,\ +2.2756589535249842626285f,2.0461560089912054216654f,1.10158579014350732628f,\ +1.7596676151017560663092f,1.886619744318301705732f,1.6609534913253483079387f,\ +2.0341867590624715944614f,2.1522631887405574424577f,1.5490800609419352884544f,\ +1.8243154431583954444562f,1.9046961835587756795007f,2.1880745312667504443027f,\ +1.462943224821960486182f,2.6082576924848916988253f,1.0397086540972344526068f,\ +1.5754847768676314423431f,0.746979645400304148595f,2.2287521705924668857790f,\ +1.5403790183895167409389f,2.29053332003721576982f,1.9561479629741382879615f,\ +2.056062919004959077540f,1.5124829204355532130677f,0.7957872878063905197621f,\ +1.1657936572577645151227f,2.247663310479210085902f,-0.4549625893688244437918f,\ +2.273939094117130466088f,1.7851157264602297569667f,1.705510493291471751931f,\ +1.838553591041654167171f,2.2452631537104275061267f,2.1984262619387999748710f,\ +1.858482175867823826820f,2.1354614286115483068329f,1.7449625890299069741474f,\ +0.5066316450005309279803f,2.2309587833094872699746f,1.8633839241242127204856f,\ +1.9110608576794807511590f,2.2575857867741544460216f,1.23571911173189863398f,\ +1.581562045830424700910f,2.2691047577207688057399f,1.4031989962500943658341f,\ +2.2741179432518765501925f,2.4527182982567738989133f,2.5833963585371355620168f,\ +2.2776279862384747332271f,-1.1249835300913728630690f,2.1906906716320380112961f,\ +1.8180097251363194210683f,1.440608273684235829393f,2.157337396250079031290f,\ +1.6456014738468727198750f,2.5276363856092047832647f,2.0501201476301127435420f,\ +1.9792596577711849548109f,2.325636279713856779949f,2.1018269082301319627959f,\ +2.2993946557097193483798f,1.407779382548410174181f,2.1650335217497893580685f,\ +2.3678319878208848869861f,1.8594164774388513006187f,2.56043452139564964298f,\ +1.2152594801616827258073f,1.6876273083151080989239f,1.8280452566376663714465f,\ +2.2383606348726785562064f,1.4669353168458199032642f,1.7855716392006990567154f,\ +1.9344712649878033072781f,2.1595582205209731263551f,2.3711393709457433409682f,\ +0.3451198452895575252697f,2.2295598849908442318224f,1.9730216569827605521681f,\ +1.7597572254564382010500f,1.4119056335367026200345f,2.1320313551579719302254f,\ +2.5151804905590435801344f,2.1472364706413502588589f,2.052431577045615185284f,\ +2.1940570121896025845842f,0.8387289948467516742525f,1.8945610375322186058611f,\ +1.901605848224737327357f,2.2469410116186243620007f,2.3333167208432867845147f,\ +1.8321040495156570848678f,2.3667788410376999763685f,2.345870799293293007537f,\ +1.7064766326923879180555f,2.2351179984798275057756f,1.3127927306468758494873f,\ +1.5145818637157286712380f,0.7618288453812751548355f,1.8221250086585414340590f,\ +2.3127298919002594601579f,1.9513099157402993277799f,2.2649290827240116108499f,\ +2.0646178740610454660498f,1.7857162805439725783430f,2.0523808897592226152540f,\ +2.357637781206334715023f,2.5204455223537904906550f,2.1680868421848340510394f,\ +2.08969579055791898625f,1.0187212773133276222381f,2.351321025745570558740f,\ +1.8003855797977157404688f,2.3290564194645368978343f,2.5020530275623595883872f,\ +1.6589662323678027178175f,1.1034736729371952268508f,2.0179385634489594991692f,\ +1.7529535621370035958222f,1.9548092141654069830992f,2.2757671672542376661852f,\ +2.2978225629400212959297f,2.329897705001075625120f,1.9366802551403343723990f,\ +2.0192737614105338295190f,1.5519072144028889237433f,1.9522381258437428996899f,\ +2.228825942499146339770f,1.3459088341323246496017f,1.2160693133443531976923f,\ +1.708519320712721833999f,2.042657041378174831436f,2.0363649964518035773153f,\ +0.9638512795498686003270f,0.9551846741593900125267f,1.951137961258366582129f,\ +2.107724763084950492242f,2.1435395035941335883933f,2.30219731892690226971f,\ +2.3129821080069814520641f,1.4613961122338947618005f,1.2276638750511146280786f,\ +1.98774702803650615834f,2.2599263943254159769936f,2.3454288218721179859472f,\ +1.5736974684351636710744f,1.1082826047896976451312f,2.2826248447267389884985f,\ +1.852079302129498561413f,2.4440219801181322090144f,2.2846216839061130876587f,\ +2.0916390604994830049179f,2.0880185293365247645170f,1.1554676622252344486697f,\ +1.4781743340729813773748f,2.2621227047071905680298f,1.9617338719614783038026f,\ +2.0915485321054503309313f,2.222172100020261886755f,2.0456349034700243016971f,\ +1.6557620395745074048932f,2.3732960033711649749932f,2.4784302018604411621538f,\ +2.1043456955600268187823f,2.2908052004546388680239f,2.1225525715426596384816f,\ +-0.3059820602804464440006f,2.398801697565509982724f,1.9837316998415748248163f,\ +1.8021669050328577021958f,2.1177911026101683411582f,1.3800624471185749531088f,\ +2.0182134290564768264176f,1.3170274339145702224840f,1.4108532825842892144408f,\ +1.817110834423457665920f,2.2890298175330245911141f,1.8196542505912531861867f,\ +2.1619335403208914669904f,2.0209326327770549269758f,1.7893311710629888899859f,\ +1.8641960608110765829082f,1.882576152038281991352f,1.7816883851861540222217f,\ +1.7954751269073565556056f,1.2730999018963571334240f,1.9486466131391497746961f,\ +2.074605067637334876451f,1.2189909546635331327735f} + +#define CRESULT2I {0.8408843669071919268987f,1.0754371807248737091811f,0.8455094310786673839075f,\ +0.962808271271232585242f,1.2435335418309885202603f,1.371120256581034091425f,\ +1.5461888319559713433904f,0.9342369007616236897817f,1.56013775123029430070f,\ +1.3720388608498168547811f,0.9371355532144381994542f,0.7228179279461685036168f,\ +1.360325287393417292847f,1.1709945644102059958414f,0.4074578726347549695319f,\ +1.0393742565506918218432f,0.5221182542768327827787f,1.1517977305599864656926f,\ +0.4467977216337457035955f,0.8222975857540034683169f,0.4665224019878621564139f,\ +0.8091797065019556978172f,1.0768746352304479074746f,0.8683388375483406251831f,\ +0.1720341159830799382391f,0.7682977019562435838651f,0.4721387487057847609506f,\ +0.4309811115589534114001f,1.20279143843462255070f,1.2916347740244560338141f,\ +1.4265839008392693365579f,0.6850460436644268957807f,1.5117462274209296779759f,\ +1.1152532149987959275705f,1.1217014706271768442747f,0.2911766403909815670303f,\ +0.2063546073155473614680f,0.5982511040925977408023f,0.5499105526382754849379f,\ +0.3309697617869979402450f,0.6882370204600587459964f,0.9959451809388051302108f,\ +1.5661574844082004620560f,0.3097639368523368297304f,0.3740022155825183380884f,\ +0.8268049495959598482742f,0.407572856709710940049f,1.3246230944084764757918f,\ +0.8047604843662868878695f,0.9578156211088914018248f,0.8379992820836518196970f,\ +0.4298072736875270249968f,0.2516111351341220880862f,1.2777930133692467773443f,\ +0.4942674920588698839197f,0.2227403824735175175142f,1.4902323819071812138759f,\ +0.3241206854947055737704f,0.6212066791677098853697f,0.8227777158663325263177f,\ +0.5918914368525474145599f,0.6824004867135488039409f,1.5685992315253338702519f,\ +0.602441091725517741118f,0.2648167750385964080984f,0.2361574036342227733698f,\ +0.2544057494452062195833f,0.7540670573431564882583f,0.9631160038064509043565f,\ +0.5974222702744066415548f,0.7127866343417466055143f,0.2523427003112133637508f,\ 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+1.2351598243895067774645f,0.7619639996129009551495f,1.0726338584530288322583f,\ +1.220269965181696392165f,1.3029226301867964377124f,1.4189980227900089726489f,\ +1.5051832236136615250643f,0.7225617055791342391302f,0.0478600995604049964105f,\ +0.710883123025403795836f,1.2310328539390928970221f,0.8735414139313334436210f,\ +0.8209275679220129351421f,0.0950735258592600440686f,0.1443422571457730618771f,\ +0.0223460331642115414552f,1.443489200421151252840f,1.2774801572114198311425f,\ +0.1717450012966928174496f,0.6769828145758884918593f} + + +/* in is between 0 and 1 + in2 is between 0 and 10 */ + + +/* FIXME : Tests à 10^-4 +in the slogsTest with these values +in : 1.00074577 --- out : 0.00074550 --- result : 0.00074553 + */ + +void slogsTest(void) { + float in[]=SOURCE; + float res[]=RESULT; + float out; + float in2[]=SOURCE2; + float res2[]=RESULT2; + int i; + + for (i=0;i<200;i++){ + out=slogs(in[i]); + assert(( (fabs(out-res[i]))/(fabs(out)) )<8e-6); + } + + for (i=0;i<200;i++){ + out=slogs(in2[i]); + assert( ( (fabs(out-res2[i]) ) / (fabs(out)) )<3e-4); + } +} + +void clogsTest(void) { + float inR[]=CSOURCER; + float inI[]=CSOURCEI; + float resR[]=CRESULTR; + float resI[]=CRESULTI; + float in2R[]=CSOURCE2R; + float in2I[]=CSOURCE2I; + float res2R[]=CRESULT2R; + float res2I[]=CRESULT2I; + floatComplex in,in2,out; + int i; + + for (i=0;i<200;i++){ + in=FloatComplex(inR[i],inI[i]); + out=clogs(in); + assert(( (fabs(creals(out)-resR[i]))/(fabs(creals(out))) )<3e-5); + assert(( (fabs(cimags(out)-resI[i]))/(fabs(cimags(out))) )<1e-6); + } + + for (i=0;i<200;i++){ + in2=FloatComplex(in2R[i],in2I[i]); + out=clogs(in2); + assert(( (fabs(creals(out)-res2R[i]))/(fabs(creals(out))) )<1e-6); + assert(( (fabs(cimags(out)-res2I[i]))/(fabs(cimags(out))) )<1e-6); + } +} + +void slogaTest(void) { + float in[]=SOURCE; + float res[]=RESULT; + float out[200]; + float in2[]=SOURCE2; + float res2[]=RESULT2; + int i; + + sloga(in,200,out); + for (i=0;i<200;i++){ + assert(( (fabs(out[i]-res[i]))/(fabs(out[i])) )<3e-5); + } + + sloga(in2,200,out); + for (i=0;i<200;i++){ + assert(( (fabs(out[i]-res2[i]))/(fabs(out[i])) )<3e-4); + } +} + +void clogaTest(void) { + float inR[]=CSOURCER; + float inI[]=CSOURCEI; + float resR[]=CRESULTR; + float resI[]=CRESULTI; + float in2R[]=CSOURCE2R; + float in2I[]=CSOURCE2I; + float res2R[]=CRESULT2R; + float res2I[]=CRESULT2I; + floatComplex *in,*in2,out[200]; + int i; + + in=FloatComplexMatrix(inR,inI,200); + cloga(in,200,out); + + for (i=0;i<200;i++){ + assert(( (fabs(creals(out[i])-resR[i]))/(fabs(creals(out[i]))) )<3e-5); + assert(( (fabs(cimags(out[i])-resI[i]))/(fabs(cimags(out[i]))) )<1e-6); + } + + + in2=FloatComplexMatrix(in2R,in2I,200); + cloga(in2,200,out); + + for (i=0;i<200;i++){ + assert(( (fabs(creals(out[i])-res2R[i]))/(fabs(creals(out[i]))) )<1e-6); + assert(( (fabs(cimags(out[i])-res2I[i]))/(fabs(cimags(out[i]))) )<1e-6); + } +} + + +int testLog(void) { + printf("\n>>>> Float Logarithm Tests\n"); + slogsTest(); + clogsTest(); + slogaTest(); + clogaTest(); + return 0; +} + +int main(void) { + assert(testLog() == 0); + return 0; +} diff --git a/2.3-1/src/c/elementaryFunctions/log/testLog.h b/2.3-1/src/c/elementaryFunctions/log/testLog.h new file mode 100644 index 00000000..b0f3bacb --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/log/testLog.h @@ -0,0 +1,39 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#ifndef _TESTLOG_H_ +#define _TESTLOG_H_ + +#include <stdio.h> +#include <assert.h> +#include <math.h> +#include "log.h" + +void slogsTest(void); + +void dlogsTest(void); + +void clogsTest(void); + +void zlogsTest(void); + +void slogaTest(void); + +void dlogaTest(void); + +void clogaTest(void); + +void zlogaTest(void); + +int testLog(void); + +#endif /* ! _TESTLOG_H_ */ diff --git a/2.3-1/src/c/elementaryFunctions/log/zloga.c b/2.3-1/src/c/elementaryFunctions/log/zloga.c new file mode 100644 index 00000000..d4f083d7 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/log/zloga.c @@ -0,0 +1,20 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2007-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "log.h" + +void zloga(doubleComplex* in, int size, doubleComplex* out) { + int i = 0; + for (i = 0; i < size; ++i) { + out[i] = zlogs(in[i]); + } +} diff --git a/2.3-1/src/c/elementaryFunctions/log/zlogs.c b/2.3-1/src/c/elementaryFunctions/log/zlogs.c new file mode 100644 index 00000000..e5e9ded1 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/log/zlogs.c @@ -0,0 +1,65 @@ +/*
+ * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
+ * Copyright (C) 2007-2008 - INRIA - Bruno JOFRET
+ * Copyright (C) Bruno Pincon
+ *
+ * This file must be used under the terms of the CeCILL.
+ * This source file is licensed as described in the file COPYING, which
+ * you should have received as part of this distribution. The terms
+ * are also available at
+ * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt
+ *
+ */
+
+#include <math.h>
+#include "log.h"
+#include "lapack.h"
+#include "log1p.h"
+#include "pythag.h"
+
+doubleComplex zlogs(doubleComplex in) {
+ static double sR2 = 1.41421356237309504;
+
+ double _RealIn = zreals(in);
+ double _ImgIn = zimags(in);
+
+ double _RealOut = 0;
+ double _ImgOut = 0;
+
+ double RMax = getOverflowThreshold();
+ double LInf = sqrt(getUnderflowThreshold());
+ double LSup = sqrt(0.5 * RMax);
+
+ double AbsReal = fabs(_RealIn);
+ double AbsImg = fabs(_ImgIn);
+
+ _ImgOut = atan2(_ImgIn, _RealIn);
+
+ if(_ImgIn > _RealIn)
+ {/* switch Real part and Imaginary part */
+ double Temp = AbsReal;
+ AbsReal = AbsImg;
+ AbsImg = Temp;
+ }
+
+ if((0.5 <= AbsReal) && (AbsReal <= sR2))
+ _RealOut = 0.5 * dlog1ps((AbsReal - 1) * (AbsReal + 1) + AbsImg * AbsImg);
+ else if(LInf < AbsImg && AbsReal < LSup)
+ _RealOut = 0.5 * dlogs(AbsReal * AbsReal + AbsImg * AbsImg);
+ else if(AbsReal > RMax)
+ _RealOut = AbsReal;
+ else
+ {
+ double Temp = dpythags(AbsReal, AbsImg);
+ if(Temp <= RMax)
+ {
+ _RealOut = dlogs(Temp);
+ }
+ else /* handle rare spurious overflow with : */
+ {
+ double Temp2 = AbsImg/AbsReal;
+ _RealOut = dlogs(AbsReal) + 0.5 * dlog1ps(Temp2 * Temp2);
+ }
+ }
+ return DoubleComplex(_RealOut, _ImgOut);
+}
diff --git a/2.3-1/src/c/elementaryFunctions/log10/Makefile.am b/2.3-1/src/c/elementaryFunctions/log10/Makefile.am new file mode 100644 index 00000000..6e5e0908 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/log10/Makefile.am @@ -0,0 +1,67 @@ +## +## Scilab ( http://www.scilab.org/ ) - This file is part of Scilab +## Copyright (C) 2008-2008 - INRIA - Bruno JOFRET +## +## This file must be used under the terms of the CeCILL. +## This source file is licensed as described in the file COPYING, which +## you should have received as part of this distribution. The terms +## are also available at +## http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt +## +## + +libLog10_la_CFLAGS = -I ../../type \ + -I ../includes + +instdir = $(top_builddir)/lib + +pkglib_LTLIBRARIES = libLog10.la + +libLog10_la_SOURCES = $(HEAD) $(SRC) + +SRC = slog10s.c \ + dlog10s.c \ + clog10s.c \ + zlog10s.c \ + slog10a.c \ + dlog10a.c \ + clog10a.c \ + zlog10a.c + +HEAD = ../includes/log10.h + +#### +# Checking Part +#### + +check_INCLUDES = -I $(top_builddir)/src/c/elementaryFunctions/includes \ + -I $(top_builddir)/src/c/type + +check_LDADD = $(top_builddir)/src/c/type/libDoubleComplex.la \ + $(top_builddir)/src/c/type/libFloatComplex.la \ + $(top_builddir)/src/c/operations/addition/libAddition.la \ + $(top_builddir)/src/fortran/lapack/libscilapack.la \ + $(top_builddir)/src/c/elementaryFunctions/log/libLog.la \ + $(top_builddir)/src/c/elementaryFunctions/log10/libLog10.la \ + $(top_builddir)/src/c/elementaryFunctions/log1p/libLog1p.la \ + $(top_builddir)/src/c/elementaryFunctions/lnp1m1/libLnp1m1.la \ + $(top_builddir)/src/c/elementaryFunctions/sqrt/libSqrt.la \ + $(top_builddir)/src/c/auxiliaryFunctions/abs/libAbs.la \ + $(top_builddir)/src/c/auxiliaryFunctions/pythag/libPythag.la \ + $(top_builddir)/src/c/operations/multiplication/libMultiplication.la \ + @LIBMATH@ + +check_PROGRAMS = testFloatLog10 testDoubleLog10 + +TESTS = testFloatLog10 testDoubleLog10 + +# +# -*- 10-Base Logarithm Tests -*- +# +testFloatLog10_SOURCES = testLog10.h testFloatLog10.c +testFloatLog10_CFLAGS = $(check_INCLUDES) +testFloatLog10_LDADD = $(check_LDADD) + +testDoubleLog10_SOURCES = testLog10.h testDoubleLog10.c +testDoubleLog10_CFLAGS = $(check_INCLUDES) +testDoubleLog10_LDADD = $(check_LDADD) diff --git a/2.3-1/src/c/elementaryFunctions/log10/Makefile.in b/2.3-1/src/c/elementaryFunctions/log10/Makefile.in new file mode 100644 index 00000000..fdfaa1e1 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/log10/Makefile.in @@ -0,0 +1,808 @@ +# Makefile.in generated by automake 1.11.1 from Makefile.am. +# @configure_input@ + +# Copyright (C) 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002, +# 2003, 2004, 2005, 2006, 2007, 2008, 2009 Free Software Foundation, +# Inc. +# This Makefile.in is free software; the Free Software Foundation +# gives unlimited permission to copy and/or distribute it, +# with or without modifications, as long as this notice is preserved. + +# This program is distributed in the hope that it will be useful, +# but WITHOUT ANY WARRANTY, to the extent permitted by law; without +# even the implied warranty of MERCHANTABILITY or FITNESS FOR A +# PARTICULAR PURPOSE. + +@SET_MAKE@ + +VPATH = @srcdir@ +pkgdatadir = $(datadir)/@PACKAGE@ +pkgincludedir = $(includedir)/@PACKAGE@ +pkglibdir = $(libdir)/@PACKAGE@ +pkglibexecdir = $(libexecdir)/@PACKAGE@ +am__cd = CDPATH="$${ZSH_VERSION+.}$(PATH_SEPARATOR)" && cd +install_sh_DATA = $(install_sh) -c -m 644 +install_sh_PROGRAM = $(install_sh) -c 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* Copyright (C) 2007-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "log10.h" + +void clog10a(floatComplex* in, int size, floatComplex* out) { + int i = 0; + for (i = 0 ; i < size ; ++i) { + out[i] = clog10s(in[i]); + } +} diff --git a/2.3-1/src/c/elementaryFunctions/log10/clog10s.c b/2.3-1/src/c/elementaryFunctions/log10/clog10s.c new file mode 100644 index 00000000..7d35ab1b --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/log10/clog10s.c @@ -0,0 +1,19 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2007-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "log10.h" +#include "log.h" + +floatComplex clog10s(floatComplex in) { + floatComplex log_z = clogs(in); + return FloatComplex(creals(log_z) / slogs(10.0f), cimags(log_z) / slogs(10.0f)); +} diff --git a/2.3-1/src/c/elementaryFunctions/log10/dlog10a.c b/2.3-1/src/c/elementaryFunctions/log10/dlog10a.c new file mode 100644 index 00000000..fcfeb486 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/log10/dlog10a.c @@ -0,0 +1,20 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2007-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "log10.h" + +void dlog10a(double* in, int size, double* out) { + int i = 0; + for (i = 0 ; i < size ; ++i) { + out[i] = dlog10s(in[i]); + } +} diff --git a/2.3-1/src/c/elementaryFunctions/log10/dlog10s.c b/2.3-1/src/c/elementaryFunctions/log10/dlog10s.c new file mode 100644 index 00000000..14bc739b --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/log10/dlog10s.c @@ -0,0 +1,18 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2007-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include <math.h> +#include "log10.h" + +double dlog10s(double in) { + return (log10(in)); +} diff --git a/2.3-1/src/c/elementaryFunctions/log10/slog10a.c b/2.3-1/src/c/elementaryFunctions/log10/slog10a.c new file mode 100644 index 00000000..b5f65405 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/log10/slog10a.c @@ -0,0 +1,20 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2007-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "log10.h" + +void slog10a(float* in, int size, float* out) { + int i = 0; + for (i = 0 ; i < size ; ++i) { + out[i] = slog10s(in[i]); + } +} diff --git a/2.3-1/src/c/elementaryFunctions/log10/slog10s.c b/2.3-1/src/c/elementaryFunctions/log10/slog10s.c new file mode 100644 index 00000000..cd1ed8e8 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/log10/slog10s.c @@ -0,0 +1,18 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include <math.h> +#include "log10.h" + +float slog10s(float in) { + return (log10f(in)); +} diff --git a/2.3-1/src/c/elementaryFunctions/log10/testDoubleLog10.c b/2.3-1/src/c/elementaryFunctions/log10/testDoubleLog10.c new file mode 100644 index 00000000..2ac56920 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/log10/testDoubleLog10.c @@ -0,0 +1,495 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008 - INRIA - Arnaud TORSET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "testLog10.h" + +#define SOURCE {0.3628176329657435417175,0.924179898109287023544,0.5243524145334959030151,\ +0.7886543427594006061554,0.6525151440873742103577,0.2477638195268809795380,\ +0.2364655844867229461670,0.7240293831564486026764,0.8278210600838065147400,\ +0.4287728047929704189301,0.4858888480812311172485,0.5923984018154442310333,\ +0.0949383648112416267395,0.1356843891553580760956,0.9917455688118934631348,\ +0.7212927364744246006012,0.0115638775750994682312,0.0211908905766904354095,\ +0.1524727698415517807007,0.9165380974300205707550,0.4467271203175187110901,\ +0.5868234331719577312469,0.1882771886885166168213,0.4196520284749567508698,\ +0.2730510598048567771912,0.7565603456459939479828,0.9378882069140672683716,\ +0.0586007428355515003204,0.5101847248151898384094,0.5031699347309768199921,\ +0.7783576548099517822266,0.6856653341092169284821,0.1381576983258128166199,\ +0.371037633623927831650,0.6366564910858869552612,0.4961673622019588947296,\ +0.2994064847007393836975,0.2392275254242122173309,0.5618183575570583343506,\ +0.3218038142658770084381,0.1082227518782019615173,0.1685282415710389614105,\ +0.8263800088316202163696,0.4923414406366646289825,0.7863734485581517219543,\ +0.6762332352809607982635,0.0258686169981956481934,0.3594204657711088657379,\ +0.3436427963897585868835,0.2824054299853742122650,0.1450859513133764266968,\ +0.0762176741845905780792,0.5220461571589112281799,0.6713762427680194377899,\ +0.0599394328892230987549,0.7267188713885843753815,0.2224657749757170677185,\ +0.3122289828024804592133,0.4435700643807649612427,0.3983507198281586170197,\ +0.1324583934620022773743,0.8820166247896850109100,0.5455272346735000610352,\ +0.2917219498194754123688,0.7739847479388117790222,0.3354639573954045772552,\ +0.8127403985708951950073,0.4612239454872906208038,0.6898109326139092445374,\ +0.9649041066877543926239,0.8210376314818859100342,0.2802407057024538516998,\ +0.9873316427692770957947,0.294199434574693441391,0.4859610591083765029907,\ +0.2247181800194084644318,0.9585652919486165046692,0.1503968122415244579315,\ +0.0216291621327400207520,0.0688429796136915683746,0.9950710041448473930359,\ +0.7568672685883939266205,0.6163959559053182601929,0.0865804632194340229034,\ +0.5165374809876084327698,0.1916800136677920818329,0.2940570451319217681885,\ +0.3528221980668604373932,0.1317937439307570457458,0.0549608371220529079437,\ +0.929352553561329841614,0.737892795819789171219,0.7509917514398694038391,\ +0.6889848816208541393280,0.8865169286727905273438,0.6891661235131323337555,\ +0.8677108911797404289246,0.7947537912987172603607,0.2496256213635206222534,\ +0.3935408894903957843781,0.7297343472018837928772,0.7888072351925075054169,\ +0.113488640636205673218,0.4145256043411791324615,0.6172473421320319175720,\ +0.7440188056789338588715,0.9038409832864999771118,0.3976829168386757373810,\ +0.9472072543576359748840,0.2581262919120490550995,0.1955799385905265808105,\ +0.9381833248771727085114,0.4226356102153658866882,0.0937463282607495784760,\ +0.9977992679923772811890,0.2042182614095509052277,0.9455819511786103248596,\ +0.9336234177462756633759,0.9743702597916126251221,0.4100225553847849369049,\ +0.5125095760449767112732,0.0948633304797112941742,0.5688196588307619094849,\ +0.7322562676854431629181,0.8108531581237912178040,0.5459008770994842052460,\ +0.5022544711828231811523,0.7634959020651876926422,0.7354982374235987663269,\ +0.0699520572088658809662,0.6130836438387632369995,0.0965849910862743854523,\ +0.5439325878396630287170,0.9187005828134715557098,0.5072866193950176239014,\ +0.1335940570570528507233,0.8688194593414664268494,0.7999687767587602138519,\ +0.9879787657409906387329,0.7131399479694664478302,0.3067426951602101325989,\ +0.5431228461675345897675,0.7330236807465553283691,0.6498145484365522861481,\ +0.8018737239763140678406,0.2859625308774411678314,0.1894423719495534896851,\ +0.7794728656299412250519,0.5433104271069169044495,0.5268451268784701824188,\ +0.1533693112432956695557,0.6041304902173578739166,0.5948378806933760643005,\ +0.8857938847504556179047,0.0043053645640611648560,0.1302204323001205921173,\ +0.9758609728887677192688,0.9183407831005752086639,0.0624175965785980224609,\ +0.9939593323506414890289,0.4122588960453867912292,0.8258536770008504390717,\ +0.0376359503716230392456,0.4675730471499264240265,0.4759115139022469520569,\ +0.4060978214256465435028,0.0392968021333217620850,0.4401316107250750064850,\ +0.3316476037725806236267,0.0877817696891725063324,0.1150833908468484878540,\ +0.9667435702867805957794,0.8103649737313389778137,0.3928376468829810619354,\ +0.7880131229758262634277,0.4798596971668303012848,0.0270724548026919364929,\ +0.6701857983134686946869,0.5602217521518468856812,0.2564360727556049823761,\ +0.2626037681475281715393,0.4447338129393756389618,0.8522944338619709014893,\ +0.2347065494395792484283,0.3277532672509551048279,0.2253599218092858791351,\ +0.3468936551362276077271,0.7743145865388214588165,0.1285835551097989082336,\ +0.1156307714991271495819,0.2054340392351150512695,0.4535544612444937229156,\ +0.6516549764201045036316,0.0710035725496709346771,0.1265540253371000289917,\ +0.4974718545563519001007,0.0879269847646355628967,0.1462626229040324687958,\ +0.715134423226118087769,0.9305738122202455997467} + +#define RESULT {-0.4403116143527589509965,-0.0342434820791150257291,-0.2803767278195338774616,\ +-0.1031133008775467624352,-0.1854094044230032989340,-0.6059621125162122368124,\ +-0.6262320581190643498104,-0.1402438085490333719019,-0.0820635291772953134881,\ +-0.36777276786493884320,-0.3134630685689411833117,-0.2273861217978072890578,\ +-1.0225582527058232340522,-0.8674701161846418706602,-0.0035997313073961446743,\ +-0.1418884411982046234169,-1.9368965147824408479238,-1.67385079107519252339,\ +-0.8168077101761380687250,-0.0378494781542935143648,-0.3499576811822522337536,\ +-0.2314925521326422763746,-0.7252022951018919361132,-0.3771106732935153860176,\ +-0.563756133479260124197,-0.1211564255577455423429,-0.0278489249618575039624,\ +-1.232096878737263700998,-0.2922725485247071319783,-0.2982853166297994018663,\ +-0.1088207991305185085018,-0.1638878070544614040660,-0.8596249106224531644216,\ +-0.4305820385081238765856,-0.1960948286770107240606,-0.3043718069355866306935,\ +-0.5237387977162476504489,-0.6211888520577832917269,-0.2504040742204550751282,\ +-0.4924088126148459254594,-0.9656814270628060192792,-0.7733273106340565750116,\ +-0.0828201974893169740044,-0.3077336078949636233304,-0.1043711586288077197704,\ +-0.169903488488286208424,-1.5872267891461315780788,-0.444397197348344763501,\ +-0.4638927555552059822652,-0.5491269570890252582629,-0.8383746383028719550978,\ +-1.1179443080462672099884,-0.2822910967808678894819,-0.1730340307038858715938,\ +-1.222287370403489781268,-0.1386335619293298515586,-0.6527367931436293124747,\ +-0.5055267858124582458501,-0.3530377711634032356081,-0.3997343937184095197246,\ +-0.8779205166514928437849,-0.0545232289425809854566,-0.2631835629983380608898,\ +-0.535030892349513287343,-0.1112675973936914503026,-0.4743541340498391156721,\ +-0.0900481524037324287946,-0.3360881534089125155518,-0.1612699269064814533436,\ +-0.0155158452113394202537,-0.0856369369482974790442,-0.5524687820481442024345,\ +-0.0055369441569604379433,-0.5313581662832899121796,-0.3133985301037985338191,\ +-0.6483617911201521311071,-0.0183783001388101094320,-0.8227613688014733250853,\ +-1.664960303869991609105,-1.1621403411076904887977,-0.0021459286933866758389,\ +-0.1209802758154948920666,-0.2101402192945755753595,-1.0625800949711647902518,\ +-0.2868981597290535812128,-0.7174231683233029954749,-0.5315684111428640168384,\ +-0.4524440987253919854716,-0.8801052046193623690229,-1.259946661051862371039,\ +-0.0318195034221232311844,-0.1320067297295647867905,-0.1243648330674980567734,\ +-0.1617903077014812007750,-0.05231296682112057672,-0.1616760787761070405910,\ +-0.0616249514134949369359,-0.0997673916469928034889,-0.6027108410820325445911,\ +-0.4050101371105858660826,-0.1368352118545152207307,-0.1030291145605434360855,\ +-0.9450476059237150616710,-0.3824486388636323952461,-0.2095407714646851937701,\ +-0.1284160871700188444322,-0.0439079701395359081606,-0.4004630644881080336894,\ +-0.0235549844857810899978,-0.5881677573670978098619,-0.7086756945701918608549,\ +-0.0277122904020632616906,-0.3740339131793987692554,-1.0280457331716890134743,\ +-0.0009568190047624330983,-0.6899054254479447534365,-0.0243008259915241074667,\ +-0.0298282635710438621957,-0.0112759802587220972492,-0.38719225203706036931,\ +-0.2902980155704742437628,-1.0229016321238477704725,-0.2450254024783888040506,\ +-0.1353369023236559165468,-0.0910577874542803367142,-0.2628862079121005446147,\ +-0.2990761883748661031923,-0.1171932896033063276064,-0.1334183636952847862300,\ +-1.1551995088873641126526,-0.2124802700500995344957,-1.0150903559327661973555,\ +-0.2644549211536121879895,-0.0368260081130531435889,-0.2947465928364439435860,\ +-0.8742128610575919944736,-0.0610704605568186745246,-0.0969269634405601765437,\ +-0.0052523894413354609012,-0.1468252349912699539214,-0.5132257708646462690538,\ +-0.2651019284616369375840,-0.1348819950022109859233,-0.1872105696377188988055,\ +-0.0958940173743543372575,-0.5436908679171403857566,-0.7225228772557727996428,\ +-0.1081989985152894545584,-0.2649519599919711310143,-0.2783170326568494279407,\ +-0.8142615327667455105143,-0.2188692450535288658298,-0.2256013823621523806118,\ +-0.0526673222769318341574,-2.3659900680299497111037,-0.8853208672348196195401,\ +-0.0106120501693722224523,-0.0369961284323869002422,-1.2046929580793401814987,\ +-0.0026313843119589821508,-0.3848299640358096573856,-0.0830968932369530594029,\ +-1.424397112818484689711,-0.3301505313242010797303,-0.3224737880280506563402,\ +-0.3913693403433980977368,-1.4056427898881791449526,-0.3564174388206851062932,\ +-0.4793231362281260010683,-1.0565956679830132980413,-0.9389873504280431548707,\ +-0.0146887076937459951781,-0.0913193386792951061759,-0.4057868990671495423861,\ +-0.1034665500376885233225,-0.3188857244019617231956,-1.5674723626658799702227,\ +-0.1738047793945742269806,-0.2516400325061770026913,-0.5910208828319416518582,\ +-0.5806990464341352797817,-0.3518998500546973717817,-0.0694103478250598926458,\ +-0.6294747913311795617375,-0.4844529702954271654924,-0.6471233167047535372873,\ +-0.4598036435552441125729,-0.1110825594195994081570,-0.8908145709277390800196,\ +-0.9369265766947033613476,-0.6873275946862682506122,-0.3433705568996603396670,\ +-0.1859822838651877530136,-1.1487197991742361669054,-0.8977240365674604705148,\ +-0.3032314852833657981002,-1.055877819626311886481,-0.8348666427090224440022,\ +-0.1456123165510203598672,-0.0312491733461308825170} + +#define ZSOURCER {0.3140813848003745079041,0.5769402063451707363129,0.1306138429790735244751,\ +0.0478980806656181812286,0.4500174494460225105286,0.0384718659333884716034,\ +0.483350999653339385986,0.2981918179430067539215,0.7112689120694994926453,\ +0.9268360524438321590424,0.9477838929742574691772,0.1729496796615421772003,\ +0.2750928336754441261292,0.0044281478039920330048,0.0611358620226383209229,\ +0.1950612799264490604401,0.3789803450927138328552,0.2549188635312020778656,\ +0.1764185149222612380981,0.6008180272765457630157,0.3703392641618847846985,\ +0.2908470141701400279999,0.5384815335273742675781,0.8090293356217443943024,\ +0.9260985879227519035339,0.1576966657303273677826,0.9518593531101942062378,\ +0.2709982101805508136749,0.1609848598018288612366,0.8782086591236293315887,\ +0.5091647170484066009521,0.7951062084175646305084,0.8432204117998480796814,\ +0.5806765086017549037933,0.3487791065126657485962,0.9397577759809792041779,\ +0.4363934816792607307434,0.5549766751937568187714,0.9105900451540946960449,\ +0.5684339576400816440582,0.1862502051517367362976,0.0800832151435315608978,\ +0.6585252787917852401733,0.1606054832227528095245,0.9711584830656647682190,\ +0.3668168033473193645477,0.7386338301002979278564,0.9722552285529673099518,\ +0.1349937235936522483826,0.4595781317912042140961,0.5414639282971620559692,\ +0.6397600513882935047150,0.0211964594200253486633,0.4408156829886138439178,\ +0.6374878138303756713867,0.3208820023573935031891,0.4267518399283289909363,\ +0.7819778784178197383881,0.0543234180659055709839,0.9666189108975231647491,\ 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+-0.0291826804365620078030,-0.0644170285495881678184,-0.020449093098134307755,\ +0.1324382164856784949158,-0.3626939268757052303727,0.0521008032215845851010,\ +0.0438487661958249438920,0.0803943913989621228300,-0.1872441239933456957889,\ +0.0719513030064179159861,-0.3021736609622284186472,-0.30531498564977166410,\ +0.1057250974802272092123,-0.0218353036625967035500,-0.2885450025056992551242,\ +-0.0214746210927109354438,-0.0480309906528200089570,0.1141195620733326948626,\ +-0.2872136450436454380153,-0.2146876003507041108520,-0.0987270319138862650910,\ +-0.0290961734854755134372,0.0117611124704010052561,-0.1486623273058947924952,\ +0.1031611720947231414236,-0.3065510644941032425415,-0.0081304707590571338727,\ +0.0681862604059072646701,0.0269042920576901857521,0.0396225366257938194092,\ +-0.4394191704520844510284,-0.4089149013992912085058,-0.4543230131010723149565,\ +-0.0586330634787295829069,-0.4539044694277152292017,-1.3529821933222951901854,\ +-0.0250304307835438853702,0.0358632689692895620381,0.0372933340583203806751,\ +-0.0498532689013882687745,0.0416880085188151769393,-0.3780489142107763544942,\ +-0.0569883570641069869822,-0.1773959401592627993516,-0.2529880791121558170076,\ +-0.0887499827789579032178,-0.0688387899649425538673,-0.2164511122923038211052,\ +-0.6104407141161303229637,0.0686738036393797490753,-0.0747689959340766124862,\ +-0.0391919696178445325918,-0.0650297590330818214843,0.0896829227334642459235,\ +0.0266548623220910323173,-0.3719537274000056514822,-0.3494566550303903618158,\ +0.0711759971067136287814,0.0703223378863101489245,-0.1795974324279027423135,\ +-0.2999138709331988783546,-0.0615107548910408530318,-0.3900685687486248887090,\ +-0.0867686652200203717422,-0.0780592259581650849132,-0.0014744231840779402701,\ +0.1312513908465361422984,0.0034351924950619906404,-0.1453391630458231997824,\ +-0.2452127202368474256922,-0.3536012485332969967899,0.1109696410995756055140,\ +-1.2311333463434968038541,-0.3067437997278838479609} + +#define ZRESULTI {0.3633100487665162359185,0.1474158063550214115001,0.5885387980009104680335,\ +0.6572801175741773693773,0.4285748579481841735728,0.6638943219025983388804,\ +0.3587662857455625187164,0.5117548829580961244901,0.1866273414364414962030,\ +0.0699742348195561969515,0.3328432735187898949825,0.5666303041879406920955,\ +0.5568906423318142895340,0.6796689265398294654830,0.6374873742133734255688,\ +0.5900654029247031084893,0.3087389836998947201252,0.4314129861802953325167,\ +0.5242475923033280693630,0.0610188495832547500575,0.4354133593463934692736,\ +0.5297939421633884871099,0.2681487567918271475165,0.1547283383009969981448,\ +0.2426408568390991671304,0.4474267034848418145287,0.2347646885151994655683,\ +0.2599927875089523832131,0.6126748695156737367640,0.2064522777477181547656,\ +0.0284496210471740680614,0.2258908609011123780341,0.3256261235849059465508,\ +0.3061930542060117277359,0.5264317995551247575392,0.2959401807089209746060,\ +0.4910139616058311062829,0.3969936639609323303368,0.1786986723204381510843,\ +0.4324195385396965018998,0.5655382812237433887148,0.6410621383118232374798,\ +0.3723548821340513237388,0.5990569422252302045351,0.0016988593650344200551,\ +0.5214150467894975715666,0.3070731387905711318176,0.0340224494974534080738,\ +0.5552566039785586937683,0.1002676097220635414997,0.4323764448196805720848,\ +0.1964911590800132445978,0.6084096209152420886568,0.0357352532897105071297,\ +0.3489411661881484660874,0.5453449961026168857359,0.0694263094757205379004,\ +0.2525534710601468613156,0.6206431406119353733075,0.0690444796836073154678,\ +0.3380054707664132407352,0.0887652999217624361084,0.4176207649503542729263,\ +0.3210430331362784106553,0.2631553422310267675854,0.2437584071473132274477,\ +0.4336070270779164292918,0.3661466421575780838538,0.5640596254022186561983,\ +0.0407979674024822880352,0.5856292520126130662916,0.5194472182924043668351,\ +0.3655014659417109568196,0.4226713256320973055580,0.3981267146771410581074,\ +0.0323921796076454895918,0.3160837480759546291864,0.3995349584181833169083,\ +0.273802063686018282151,0.4000313483957886884212,0.1544145556607701974539,\ +0.3952425864610250583198,0.1693632158699578948990,0.6627611949754427245196,\ +0.167173661907591114550,0.4086002639927426849376,0.6540985540228395622719,\ +0.3642324586236761474467,0.5468253741606181606016,0.0703565244510996889993,\ +0.4580361055958868110594,0.0880301024358387529389,0.1299718766609879727625,\ +0.3310527463405003034680,0.4637212462953029801227,0.4294623340021747059936,\ +0.4691072369162453403746,0.6335809675670333040998,0.1788460444456893838616,\ +0.2444904068796305007805,0.1910877540250672246280,0.3910553307022346936073,\ +0.5870156732892560791370,0.5581921905883382439839,0.1182006499862187365313,\ +0.0247387920792678586701,0.1716217468036307647328,0.1677637778431290971337,\ +0.6278971871585069530752,0.4952349292223454657602,0.5872771345770251283369,\ +0.1150482129328096875254,0.2875910738555041423758,0.4544626742179224132556,\ +0.3490957130610289338435,0.0369504335660946620079,0.2852598765351710419225,\ +0.2907565249995825995555,0.3370230396263981242910,0.3047404031476670938083,\ +0.33865617237418182972,0.5799887649794799315828,0.2058615017488183152050,\ +0.1040542236456874769512,0.5769758315245528956794,0.6086314545246159779524,\ +0.1560306547104348962041,0.4487914762887483810516,0.2795367938070804081363,\ +0.3371389774796904048593,0.1912601282140735381443,0.3826791464254168939618,\ +0.2928983745329591936724,0.396613573038569422469,0.6618005209348483131038,\ +0.4362846209517689533008,0.1830850765515834310815,0.3800035453193333911948,\ +0.376730811842592550054,0.5559265822426159298075,0.3620694326893729719785,\ +0.4227803813529266152571,0.2910061310239929199817,0.3106691139011089619615,\ +0.435429394944240932830,0.5878341337089509899272,0.4743827280867594087255,\ +0.2874204018606083543830,0.2094051712928121644630,0.4486348592544623370415,\ +0.3764598089790200385885,0.3919214486831592569871,0.0316949858971651426964,\ +0.2391495340218968146395,0.486361470580685850695,0.3397962718388538583270,\ +0.1571941632596165761004,0.6427949822892967679522,0.3189060883322832884446,\ +0.3675164927613087662017,0.5242598134907254792125,0.2484566158604845087510,\ +0.0480705017921116625756,0.4475807306655288364539,0.3691029449284471408710,\ +0.5016842301167260265160,0.3950665170276177473596,0.4392508841037601752255,\ +0.1996012963954646446396,0.5673662159944875549300,0.4652972123009525562409,\ +0.1933199899606511118488,0.6541522766180654091528,0.0972438028822732308809,\ +0.2132613189014408716648,0.3697245333311866000159,0.6342931063454819717862,\ +0.2533327612355570357394,0.2380763598053285134970,0.3736506508141989035821,\ +0.3285546506249918952136,0.4011970200297387822985,0.5663267577447791412126,\ +0.2910519034072798771895,0.4184422115344140213899,0.1770121129168618634431,\ +0.1829818983774834095790,0.1440504268816359956240,0.5858489671891115024849,\ +0.4947061064648006212252,0.5945317434266266243270,0.1360392849738219778200,\ +0.3438694289300276984989,0.5310838098864226752838,0.5016736389654107286518,\ +0.1554601034674029658156,0.4147310296690985831347,0.3535773010333992383281,\ +0.3345663906426585842979,0.0670148638928397127890} + + +/* FIXME : assert à 1e-14 */ + +void dlog10sTest(void) { + double in[]=SOURCE; + double res[]=RESULT; + double out; + int i; + + for (i=0;i<200;i++){ + out=dlog10s(in[i]); + assert(( (fabs(out-res[i]))/(fabs(out)) )<3e-16); + } +} + +void zlog10sTest(void) { + double inR[]=ZSOURCER; + double inI[]=ZSOURCEI; + double resR[]=ZRESULTR; + double resI[]=ZRESULTI; + doubleComplex in,out; + int i; + + for (i=0;i<200;i++){ + in=DoubleComplex(inR[i],inI[i]); + out=zlog10s(in); + assert(( (fabs(zreals(out)-resR[i]))/(fabs(zreals(out))) )<3e-15); + assert(( (fabs(zimags(out)-resI[i]))/(fabs(zimags(out))) )<3e-15); + } +} + +void dlog10aTest(void) { + double in[]=SOURCE; + double res[]=RESULT; + double out[200]; + int i; + + dlog10a(in,200,out); + for (i=0;i<200;i++){ + assert(( (fabs(out[i]-res[i]))/(fabs(out[i])) )<3e-16); + } +} + +void zlog10aTest(void) { + double inR[]=ZSOURCER; + double inI[]=ZSOURCEI; + double resR[]=ZRESULTR; + double resI[]=ZRESULTI; + doubleComplex *in,out[200]; + int i; + + + in=DoubleComplexMatrix(inR,inI,200); + zlog10a(in,200,out); + + for (i=0;i<200;i++){ + assert(( (fabs(zreals(out[i])-resR[i]))/(fabs(zreals(out[i]))) )<3e-15); + assert(( (fabs(zimags(out[i])-resI[i]))/(fabs(zimags(out[i]))) )<3e-15); + } +} + +int testLog10(void) { + printf("\n>>>> Double 10-Based Logarithm Tests\n"); + dlog10sTest(); + zlog10sTest(); + dlog10aTest(); + zlog10aTest(); + return 0; +} + +int main(void) { + assert(testLog10() == 0); + return 0; +} diff --git a/2.3-1/src/c/elementaryFunctions/log10/testFloatLog10.c b/2.3-1/src/c/elementaryFunctions/log10/testFloatLog10.c new file mode 100644 index 00000000..be214484 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/log10/testFloatLog10.c @@ -0,0 +1,495 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Arnaud TORSET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "testLog10.h" + +#define SOURCE {0.3628176329657435417175f,0.924179898109287023544f,0.5243524145334959030151f,\ +0.7886543427594006061554f,0.6525151440873742103577f,0.2477638195268809795380f,\ +0.2364655844867229461670f,0.7240293831564486026764f,0.8278210600838065147400f,\ +0.4287728047929704189301f,0.4858888480812311172485f,0.5923984018154442310333f,\ +0.0949383648112416267395f,0.1356843891553580760956f,0.9917455688118934631348f,\ +0.7212927364744246006012f,0.0115638775750994682312f,0.0211908905766904354095f,\ +0.1524727698415517807007f,0.9165380974300205707550f,0.4467271203175187110901f,\ +0.5868234331719577312469f,0.1882771886885166168213f,0.4196520284749567508698f,\ +0.2730510598048567771912f,0.7565603456459939479828f,0.9378882069140672683716f,\ +0.0586007428355515003204f,0.5101847248151898384094f,0.5031699347309768199921f,\ +0.7783576548099517822266f,0.6856653341092169284821f,0.1381576983258128166199f,\ +0.371037633623927831650f,0.6366564910858869552612f,0.4961673622019588947296f,\ +0.2994064847007393836975f,0.2392275254242122173309f,0.5618183575570583343506f,\ +0.3218038142658770084381f,0.1082227518782019615173f,0.1685282415710389614105f,\ +0.8263800088316202163696f,0.4923414406366646289825f,0.7863734485581517219543f,\ +0.6762332352809607982635f,0.0258686169981956481934f,0.3594204657711088657379f,\ +0.3436427963897585868835f,0.2824054299853742122650f,0.1450859513133764266968f,\ +0.0762176741845905780792f,0.5220461571589112281799f,0.6713762427680194377899f,\ +0.0599394328892230987549f,0.7267188713885843753815f,0.2224657749757170677185f,\ +0.3122289828024804592133f,0.4435700643807649612427f,0.3983507198281586170197f,\ +0.1324583934620022773743f,0.8820166247896850109100f,0.5455272346735000610352f,\ +0.2917219498194754123688f,0.7739847479388117790222f,0.3354639573954045772552f,\ +0.8127403985708951950073f,0.4612239454872906208038f,0.6898109326139092445374f,\ +0.9649041066877543926239f,0.8210376314818859100342f,0.2802407057024538516998f,\ +0.9873316427692770957947f,0.294199434574693441391f,0.4859610591083765029907f,\ +0.2247181800194084644318f,0.9585652919486165046692f,0.1503968122415244579315f,\ +0.0216291621327400207520f,0.0688429796136915683746f,0.9950710041448473930359f,\ +0.7568672685883939266205f,0.6163959559053182601929f,0.0865804632194340229034f,\ +0.5165374809876084327698f,0.1916800136677920818329f,0.2940570451319217681885f,\ +0.3528221980668604373932f,0.1317937439307570457458f,0.0549608371220529079437f,\ +0.929352553561329841614f,0.737892795819789171219f,0.7509917514398694038391f,\ +0.6889848816208541393280f,0.8865169286727905273438f,0.6891661235131323337555f,\ +0.8677108911797404289246f,0.7947537912987172603607f,0.2496256213635206222534f,\ +0.3935408894903957843781f,0.7297343472018837928772f,0.7888072351925075054169f,\ +0.113488640636205673218f,0.4145256043411791324615f,0.6172473421320319175720f,\ +0.7440188056789338588715f,0.9038409832864999771118f,0.3976829168386757373810f,\ +0.9472072543576359748840f,0.2581262919120490550995f,0.1955799385905265808105f,\ +0.9381833248771727085114f,0.4226356102153658866882f,0.0937463282607495784760f,\ +0.9977992679923772811890f,0.2042182614095509052277f,0.9455819511786103248596f,\ +0.9336234177462756633759f,0.9743702597916126251221f,0.4100225553847849369049f,\ +0.5125095760449767112732f,0.0948633304797112941742f,0.5688196588307619094849f,\ +0.7322562676854431629181f,0.8108531581237912178040f,0.5459008770994842052460f,\ +0.5022544711828231811523f,0.7634959020651876926422f,0.7354982374235987663269f,\ +0.0699520572088658809662f,0.6130836438387632369995f,0.0965849910862743854523f,\ +0.5439325878396630287170f,0.9187005828134715557098f,0.5072866193950176239014f,\ +0.1335940570570528507233f,0.8688194593414664268494f,0.7999687767587602138519f,\ +0.9879787657409906387329f,0.7131399479694664478302f,0.3067426951602101325989f,\ +0.5431228461675345897675f,0.7330236807465553283691f,0.6498145484365522861481f,\ +0.8018737239763140678406f,0.2859625308774411678314f,0.1894423719495534896851f,\ +0.7794728656299412250519f,0.5433104271069169044495f,0.5268451268784701824188f,\ +0.1533693112432956695557f,0.6041304902173578739166f,0.5948378806933760643005f,\ +0.8857938847504556179047f,0.0043053645640611648560f,0.1302204323001205921173f,\ +0.9758609728887677192688f,0.9183407831005752086639f,0.0624175965785980224609f,\ +0.9939593323506414890289f,0.4122588960453867912292f,0.8258536770008504390717f,\ +0.0376359503716230392456f,0.4675730471499264240265f,0.4759115139022469520569f,\ +0.4060978214256465435028f,0.0392968021333217620850f,0.4401316107250750064850f,\ +0.3316476037725806236267f,0.0877817696891725063324f,0.1150833908468484878540f,\ +0.9667435702867805957794f,0.8103649737313389778137f,0.3928376468829810619354f,\ +0.7880131229758262634277f,0.4798596971668303012848f,0.0270724548026919364929f,\ +0.6701857983134686946869f,0.5602217521518468856812f,0.2564360727556049823761f,\ +0.2626037681475281715393f,0.4447338129393756389618f,0.8522944338619709014893f,\ +0.2347065494395792484283f,0.3277532672509551048279f,0.2253599218092858791351f,\ +0.3468936551362276077271f,0.7743145865388214588165f,0.1285835551097989082336f,\ +0.1156307714991271495819f,0.2054340392351150512695f,0.4535544612444937229156f,\ +0.6516549764201045036316f,0.0710035725496709346771f,0.1265540253371000289917f,\ +0.4974718545563519001007f,0.0879269847646355628967f,0.1462626229040324687958f,\ +0.715134423226118087769f,0.9305738122202455997467f} + +#define RESULT {-0.4403116143527589509965f,-0.0342434820791150257291f,-0.2803767278195338774616f,\ +-0.1031133008775467624352f,-0.1854094044230032989340f,-0.6059621125162122368124f,\ +-0.6262320581190643498104f,-0.1402438085490333719019f,-0.0820635291772953134881f,\ +-0.36777276786493884320f,-0.3134630685689411833117f,-0.2273861217978072890578f,\ +-1.0225582527058232340522f,-0.8674701161846418706602f,-0.0035997313073961446743f,\ +-0.1418884411982046234169f,-1.9368965147824408479238f,-1.67385079107519252339f,\ +-0.8168077101761380687250f,-0.0378494781542935143648f,-0.3499576811822522337536f,\ +-0.2314925521326422763746f,-0.7252022951018919361132f,-0.3771106732935153860176f,\ +-0.563756133479260124197f,-0.1211564255577455423429f,-0.0278489249618575039624f,\ +-1.232096878737263700998f,-0.2922725485247071319783f,-0.2982853166297994018663f,\ +-0.1088207991305185085018f,-0.1638878070544614040660f,-0.8596249106224531644216f,\ +-0.4305820385081238765856f,-0.1960948286770107240606f,-0.3043718069355866306935f,\ +-0.5237387977162476504489f,-0.6211888520577832917269f,-0.2504040742204550751282f,\ +-0.4924088126148459254594f,-0.9656814270628060192792f,-0.7733273106340565750116f,\ +-0.0828201974893169740044f,-0.3077336078949636233304f,-0.1043711586288077197704f,\ +-0.169903488488286208424f,-1.5872267891461315780788f,-0.444397197348344763501f,\ +-0.4638927555552059822652f,-0.5491269570890252582629f,-0.8383746383028719550978f,\ +-1.1179443080462672099884f,-0.2822910967808678894819f,-0.1730340307038858715938f,\ +-1.222287370403489781268f,-0.1386335619293298515586f,-0.6527367931436293124747f,\ +-0.5055267858124582458501f,-0.3530377711634032356081f,-0.3997343937184095197246f,\ +-0.8779205166514928437849f,-0.0545232289425809854566f,-0.2631835629983380608898f,\ +-0.535030892349513287343f,-0.1112675973936914503026f,-0.4743541340498391156721f,\ +-0.0900481524037324287946f,-0.3360881534089125155518f,-0.1612699269064814533436f,\ +-0.0155158452113394202537f,-0.0856369369482974790442f,-0.5524687820481442024345f,\ +-0.0055369441569604379433f,-0.5313581662832899121796f,-0.3133985301037985338191f,\ +-0.6483617911201521311071f,-0.0183783001388101094320f,-0.8227613688014733250853f,\ +-1.664960303869991609105f,-1.1621403411076904887977f,-0.0021459286933866758389f,\ +-0.1209802758154948920666f,-0.2101402192945755753595f,-1.0625800949711647902518f,\ +-0.2868981597290535812128f,-0.7174231683233029954749f,-0.5315684111428640168384f,\ +-0.4524440987253919854716f,-0.8801052046193623690229f,-1.259946661051862371039f,\ +-0.0318195034221232311844f,-0.1320067297295647867905f,-0.1243648330674980567734f,\ +-0.1617903077014812007750f,-0.05231296682112057672f,-0.1616760787761070405910f,\ +-0.0616249514134949369359f,-0.0997673916469928034889f,-0.6027108410820325445911f,\ +-0.4050101371105858660826f,-0.1368352118545152207307f,-0.1030291145605434360855f,\ +-0.9450476059237150616710f,-0.3824486388636323952461f,-0.2095407714646851937701f,\ +-0.1284160871700188444322f,-0.0439079701395359081606f,-0.4004630644881080336894f,\ +-0.0235549844857810899978f,-0.5881677573670978098619f,-0.7086756945701918608549f,\ +-0.0277122904020632616906f,-0.3740339131793987692554f,-1.0280457331716890134743f,\ +-0.0009568190047624330983f,-0.6899054254479447534365f,-0.0243008259915241074667f,\ +-0.0298282635710438621957f,-0.0112759802587220972492f,-0.38719225203706036931f,\ +-0.2902980155704742437628f,-1.0229016321238477704725f,-0.2450254024783888040506f,\ +-0.1353369023236559165468f,-0.0910577874542803367142f,-0.2628862079121005446147f,\ +-0.2990761883748661031923f,-0.1171932896033063276064f,-0.1334183636952847862300f,\ +-1.1551995088873641126526f,-0.2124802700500995344957f,-1.0150903559327661973555f,\ +-0.2644549211536121879895f,-0.0368260081130531435889f,-0.2947465928364439435860f,\ +-0.8742128610575919944736f,-0.0610704605568186745246f,-0.0969269634405601765437f,\ +-0.0052523894413354609012f,-0.1468252349912699539214f,-0.5132257708646462690538f,\ +-0.2651019284616369375840f,-0.1348819950022109859233f,-0.1872105696377188988055f,\ +-0.0958940173743543372575f,-0.5436908679171403857566f,-0.7225228772557727996428f,\ +-0.1081989985152894545584f,-0.2649519599919711310143f,-0.2783170326568494279407f,\ +-0.8142615327667455105143f,-0.2188692450535288658298f,-0.2256013823621523806118f,\ +-0.0526673222769318341574f,-2.3659900680299497111037f,-0.8853208672348196195401f,\ +-0.0106120501693722224523f,-0.0369961284323869002422f,-1.2046929580793401814987f,\ +-0.0026313843119589821508f,-0.3848299640358096573856f,-0.0830968932369530594029f,\ +-1.424397112818484689711f,-0.3301505313242010797303f,-0.3224737880280506563402f,\ +-0.3913693403433980977368f,-1.4056427898881791449526f,-0.3564174388206851062932f,\ +-0.4793231362281260010683f,-1.0565956679830132980413f,-0.9389873504280431548707f,\ +-0.0146887076937459951781f,-0.0913193386792951061759f,-0.4057868990671495423861f,\ +-0.1034665500376885233225f,-0.3188857244019617231956f,-1.5674723626658799702227f,\ +-0.1738047793945742269806f,-0.2516400325061770026913f,-0.5910208828319416518582f,\ +-0.5806990464341352797817f,-0.3518998500546973717817f,-0.0694103478250598926458f,\ +-0.6294747913311795617375f,-0.4844529702954271654924f,-0.6471233167047535372873f,\ +-0.4598036435552441125729f,-0.1110825594195994081570f,-0.8908145709277390800196f,\ +-0.9369265766947033613476f,-0.6873275946862682506122f,-0.3433705568996603396670f,\ +-0.1859822838651877530136f,-1.1487197991742361669054f,-0.8977240365674604705148f,\ +-0.3032314852833657981002f,-1.055877819626311886481f,-0.8348666427090224440022f,\ +-0.1456123165510203598672f,-0.0312491733461308825170f} + +#define CSOURCER {0.3140813848003745079041f,0.5769402063451707363129f,0.1306138429790735244751f,\ +0.0478980806656181812286f,0.4500174494460225105286f,0.0384718659333884716034f,\ +0.483350999653339385986f,0.2981918179430067539215f,0.7112689120694994926453f,\ +0.9268360524438321590424f,0.9477838929742574691772f,0.1729496796615421772003f,\ +0.2750928336754441261292f,0.0044281478039920330048f,0.0611358620226383209229f,\ +0.1950612799264490604401f,0.3789803450927138328552f,0.2549188635312020778656f,\ +0.1764185149222612380981f,0.6008180272765457630157f,0.3703392641618847846985f,\ +0.2908470141701400279999f,0.5384815335273742675781f,0.8090293356217443943024f,\ +0.9260985879227519035339f,0.1576966657303273677826f,0.9518593531101942062378f,\ +0.2709982101805508136749f,0.1609848598018288612366f,0.8782086591236293315887f,\ +0.5091647170484066009521f,0.7951062084175646305084f,0.8432204117998480796814f,\ +0.5806765086017549037933f,0.3487791065126657485962f,0.9397577759809792041779f,\ +0.4363934816792607307434f,0.5549766751937568187714f,0.9105900451540946960449f,\ +0.5684339576400816440582f,0.1862502051517367362976f,0.0800832151435315608978f,\ +0.6585252787917852401733f,0.1606054832227528095245f,0.9711584830656647682190f,\ +0.3668168033473193645477f,0.7386338301002979278564f,0.9722552285529673099518f,\ +0.1349937235936522483826f,0.4595781317912042140961f,0.5414639282971620559692f,\ +0.6397600513882935047150f,0.0211964594200253486633f,0.4408156829886138439178f,\ +0.6374878138303756713867f,0.3208820023573935031891f,0.4267518399283289909363f,\ +0.7819778784178197383881f,0.0543234180659055709839f,0.9666189108975231647491f,\ +0.6948409983888268470764f,0.1846996019594371318817f,0.3645029179751873016357f,\ +0.8176643461920320987701f,0.664914294146001338959f,0.7559730983339250087738f,\ +0.5525381658226251602173f,0.7192269531078636646271f,0.1989364298060536384583f,\ +0.8610532465390861034393f,0.1300329938530921936035f,0.347959163133054971695f,\ +0.5025534434244036674500f,0.4978472082875669002533f,0.4675923939794301986694f,\ +0.9447452803142368793488f,0.9599315756931900978088f,0.5365384514443576335907f,\ +0.8122785724699497222900f,0.6470989421941339969635f,0.7010180121287703514099f,\ +0.6681951484642922878265f,0.9593638796359300613403f,0.0149199557490646839142f,\ +0.6199735002592206001282f,0.4061129498295485973358f,0.0471306145191192626953f,\ +0.8433605083264410495758f,0.0635268418118357658386f,0.9836421324871480464935f,\ +0.4434677045792341232300f,0.8565507535822689533234f,0.9080012599006295204163f,\ +0.4922491232864558696747f,0.1930142603814601898193f,0.3759337724186480045319f,\ +0.2437626412138342857361f,0.1035623974166810512543f,0.9936000052839517593384f,\ +0.5569599089212715625763f,0.3858396532014012336731f,0.7191527518443763256073f,\ +0.1707325801253318786621f,0.2878904812969267368317f,0.4294657362625002861023f,\ +0.8917979537509381771088f,0.6188817229121923446655f,0.3444608678109943866730f,\ +0.0692929709330201148987f,0.3619817639701068401337f,0.1783103235065937042236f,\ +0.8941529677249491214752f,0.9010278200730681419373f,0.0533773354254662990570f,\ +0.4162023533135652542114f,0.9438270372338593006134f,0.9242387460544705390930f,\ +0.8710649865679442882538f,0.2808376699686050415039f,0.8244629004038870334625f,\ +0.4650857029482722282410f,0.1462343498133122920990f,0.5975636970251798629761f,\ +0.3067605351097881793976f,0.2377215037122368812561f,0.0711208949796855449677f,\ +0.8753139786422252655029f,0.4413500339724123477936f,0.7631150623783469200134f,\ +0.9679268277250230312347f,0.3924236092716455459595f,0.717360940296202898026f,\ +0.8640465112403035163879f,0.7354763629846274852753f,0.0304915383458137512207f,\ +0.6331009590066969394684f,0.4550241930410265922546f,0.3173553734086453914642f,\ +0.8250397499650716781616f,0.2725940425880253314972f,0.3458735281601548194885f,\ +0.5352854127995669841766f,0.7017193175852298736572f,0.9817278520204126834869f,\ +0.2777477568015456199646f,0.1314821145497262477875f,0.366813333705067634583f,\ +0.7377605927176773548126f,0.9103105561807751655579f,0.3637479650788009166718f,\ +0.8207867145538330078125f,0.3059372254647314548492f,0.9788405327126383781433f,\ +0.9970494522713124752045f,0.4636328797787427902222f,0.7769650523550808429718f,\ +0.3400075891986489295959f,0.0353285889141261577606f,0.2607673071324825286865f,\ +0.5790986777283251285553f,0.1250711670145392417908f,0.0372988111339509487152f,\ +0.9382179621607065200806f,0.5585843441076576709747f,0.7192503632977604866028f,\ +0.3599752518348395824432f,0.6758626028895378112793f,0.2222136431373655796051f,\ +0.7860159231349825859070f,0.1736893891356885433197f,0.2674629595130681991577f,\ +0.7357366015203297138214f,0.0550541067495942115784f,0.5923380698077380657196f,\ +0.2162457890808582305908f,0.7718841419555246829987f,0.0926524316892027854919f,\ +0.7626169077120721340179f,0.7347808051854372024536f,0.8017499190755188465118f,\ +0.7732572900131344795227f,0.2559880572371184825897f,0.1179054826498031616f,\ +0.9232815303839743137360f,0.6709534404799342155457f,0.6071323617361485958099f,\ +0.4574467372149229049683f,0.8206311021931469440460f,0.0896153757348656654358f,\ +0.3426358769647777080536f,0.1674894802272319793701f,0.9481152505613863468170f,\ +0.9504805644974112510681f,0.3436607695184648036957f,0.2889420483261346817017f,\ +0.5325344172306358814240f,0.2558945687487721443176f,0.8863505902700126171112f,\ +0.0421485081315040588379f,0.4876015805639326572418f} + +#define CSOURCEI {0.347978035919368267059f,0.2037199228070676326752f,0.5962978359311819076538f,\ +0.8342303414829075336456f,0.6809655660763382911682f,0.9127784068696200847626f,\ +0.5243799723684787750244f,0.7204323844052851200104f,0.3259664541110396385193f,\ +0.1506391367875039577484f,0.9124387521296739578247f,0.6345743131823837757111f,\ +0.9268973069265484809875f,0.7633614349178969860077f,0.5918717086315155029297f,\ +0.9057438620366156101227f,0.3263365356251597404480f,0.3912780000828206539154f,\ +0.4635267537087202072144f,0.0849754814989864826202f,0.5800507226958870887756f,\ +0.7945564310066401958466f,0.3823457323014736175537f,0.3010852993465960025787f,\ +0.5789428642019629478455f,0.2627451247535645961761f,0.5713048521429300308228f,\ +0.1848654565401375293732f,0.9971724869683384895325f,0.4520535501651465892792f,\ +0.0334019884467124938965f,0.4553878181613981723785f,0.7851976407691836357117f,\ +0.4941168962977826595306f,0.9304408635944128036499f,0.7621670593507587909698f,\ +0.9264887655153870582581f,0.7199950958602130413055f,0.3973621018230915069580f,\ +0.8769331262446939945221f,0.6766644334420561790466f,0.8431562236510217189789f,\ +0.7608711589127779006958f,0.8287630719132721424103f,0.0037989662960171699524f,\ +0.9451942699961364269257f,0.6311131268739700317383f,0.0763222672976553440094f,\ +0.4486519275233149528503f,0.1080312891863286495209f,0.8351444136351346969604f,\ +0.3109649871475994586945f,0.1235694894567131996155f,0.0363539229147136211395f,\ +0.6609512977302074432373f,0.9844443709589540958405f,0.0688076755031943321228f,\ +0.5140342987142503261566f,0.3807653579860925674438f,0.1549817589111626148224f,\ +0.6850274773314595222473f,0.0382853033952414989471f,0.5224257782101631164551f,\ +0.7454454028047621250153f,0.4607118470594286918640f,0.4753002314828336238861f,\ +0.8575385268777608871460f,0.8073885519988834857941f,0.7132545644417405128479f,\ +0.0811268086545169353485f,0.5751824118196964263916f,0.884696914348751306534f,\ +0.5624709790572524070740f,0.7315255901776254177094f,0.6099120099097490310669f,\ +0.0705954921431839466095f,0.8552806274965405464172f,0.7045627343468368053436f,\ +0.5928074717521667480469f,0.8517647930420935153961f,0.2603117255493998527527f,\ +0.8596871509216725826263f,0.3943212013691663742065f,0.3333164160139858722687f,\ +0.2511775353923439979553f,0.5570420245639979839325f,0.7276714108884334564209f,\ +0.9383780122734606266022f,0.1971746077761054039001f,0.1607607132755219936371f,\ +0.7815325502306222915649f,0.1760376212187111377716f,0.2801528992131352424622f,\ +0.4699970218352973461151f,0.3507726117968559265137f,0.5713973813690245151520f,\ +0.4563077641651034355164f,0.9214398502372205257416f,0.4339873101562261581421f,\ +0.3514866163022816181183f,0.1816438222303986549377f,0.9070622171275317668915f,\ +0.7665811367332935333252f,0.9807842955924570560455f,0.1198607003316283226013f,\ +0.0508546582423150539398f,0.2581452894955873489380f,0.1401008707471191883087f,\ +0.5514106499031186103821f,0.7882929998449981212616f,0.8028824776411056518555f,\ +0.2425694861449301242828f,0.7024780390784144401550f,0.0922905071638524532318f,\ +0.4318286012858152389526f,0.0804965649731457233429f,0.7126307198777794837952f,\ +0.6893844078294932842255f,0.2756213061511516571045f,0.6968217701651155948639f,\ +0.4598932703956961631775f,0.6099067903123795986176f,0.3065654132515192031860f,\ +0.0749373403377830982208f,0.9619921119883656501770f,0.4158898773603141307831f,\ +0.3287452235817909240723f,0.7406168007291853427887f,0.5725225014612078666687f,\ +0.9504556744359433650970f,0.1849336978048086166382f,0.8698030491359531879425f,\ +0.6907873982563614845276f,0.9524399931542575359344f,0.6490485109388828277588f,\ +0.9960058168508112430573f,0.2040582066401839256287f,0.3800008497200906276703f,\ +0.9729049820452928543091f,0.9110585046000778675079f,0.3810073928907513618469f,\ +0.7869612383656203746796f,0.5560158789157867431641f,0.8529843934811651706696f,\ +0.4350629774853587150574f,0.5956362797878682613373f,0.7071880977600812911987f,\ +0.5747222309000790119171f,0.4764349022880196571350f,0.6098947445861995220184f,\ +0.9666662178933620452881f,0.3874611915089190006256f,0.0715632727369666099548f,\ +0.6122049516998231410980f,0.9575729314237833023071f,0.7723352131433784961700f,\ +0.1287384750321507453918f,0.3884150418452918529510f,0.2353963479399681091309f,\ +0.6542267077602446079254f,0.3286431683227419853210f,0.024017625954002141953f,\ +0.1042741741985082626343f,0.9314296473748981952667f,0.8185661518946290016174f,\ +0.8156488086096942424774f,0.8688247688114643096924f,0.3549220249988138675690f,\ +0.3890381073579192161560f,0.6415715864859521389008f,0.4902750719338655471802f,\ +0.3509976905770599842072f,0.8516392158344388008118f,0.1348936217837035655975f,\ +0.1156354099512100219727f,0.8810075619257986545563f,0.8367286501452326774597f,\ +0.5032693906687200069427f,0.4486711751669645309448f,0.9319602106697857379913f,\ +0.7298459419980645179749f,0.3388367067091166973114f,0.4314213804900646209717f,\ +0.7317318231798708438873f,0.9655342241749167442322f,0.2621376193128526210785f,\ +0.2050140891224145889282f,0.2826355365104973316193f,0.3973353477194905281067f,\ +0.7437736871652305126190f,0.8185287192463874816895f,0.3071001493372023105621f,\ +0.9627068741247057914734f,0.9475456266663968563080f,0.6546552237123250961304f,\ +0.1992082078941166400909f,0.3616109425202012062073f,0.9388273353688418865204f,\ +0.0409001447260379791260f,0.0758434669114649295807f} + +#define CRESULTR {-0.3290495609832542744932f,-0.2133542315965856750459f,-0.2143604594080804615075f,\ +-0.0779993516667897290873f,-0.0881879704812010417614f,-0.0392492308819259588804f,\ +-0.1468107357971605020364f,-0.1080692186653561120968f,-0.1065683791205834785032f,\ +-0.0273353392421778126908f,0.1191283090947614642374f,-0.1819586746730034731989f,\ +-0.0146372370113581271034f,-0.1172624775653131612430f,-0.2254678765990359434745f,\ +-0.0331498720885635145272f,-0.3009243692795003366491f,-0.3306899894153413344000f,\ +-0.3045496213459356615871f,-0.2169562594261553178931f,-0.1622895628928226752219f,\ +-0.0725702069682954281626f,-0.1801817524356017496956f,-0.0638691649231626773497f,\ +0.0382899018433042123699f,-0.5136597137709293381391f,0.0453803311793120195405f,\ +-0.4840630563482673509590f,0.0043573655682720771609f,-0.0053634673446913633602f,\ +-0.2922091972771523882280f,-0.0379710404096835762999f,0.0615264246077369611476f,\ +-0.1177861239572535467790f,-0.0027606815124210713590f,0.0827769612970807588948f,\ +0.0103506258196890514600f,-0.0414069352257771042258f,-0.0028258322392286264017f,\ +0.0191369442490108253307f,-0.1537687128497234601010f,-0.0721417928417731474378f,\ +0.0027147719270748577915f,-0.0735641860746090447964f,-0.0127065691399337477724f,\ +0.0059853142299196512854f,-0.0125407536616094668347f,-0.0108856950196654141821f,\ +-0.3292710076447024625246f,-0.3259617043131136093770f,-0.0020400145634434829929f,\ +-0.1479281118584361010004f,-0.9017915683260822046208f,-0.3542710907015680921184f,\ +-0.0370225124342607042616f,0.0151168335656557354524f,-0.3642515556722971115100f,\ +-0.0288172015063716119299f,-0.4149670396818516682202f,-0.0092330629379009203361f,\ +-0.0106663219864977006773f,-0.7243988137694490347940f,-0.1958487567186202316094f,\ +0.0439375096643265586338f,-0.0920894961670395001407f,-0.0491603497010221490715f,\ +0.0086566739889077232162f,0.0339376585197796801219f,-0.1304877971769988764805f,\ +-0.0630508696074615210270f,-0.2293705604967442579500f,-0.0219724307162800849835f,\ +-0.1224692215475379208911f,-0.0531242407432285373980f,-0.1143402977644937118518f,\ +-0.0234761498308886963626f,0.1091329563146860859302f,-0.0527638328353893792944f,\ +0.0024222192478416683901f,0.0292586204417139908451f,-0.1262209046057715389200f,\ +0.0369593428671423362974f,0.0158795483132631205792f,-0.4767086450021467136651f,\ +-0.1746242034102962470410f,-0.1615510250958859250758f,-0.1371556526467043735096f,\ +0.100945647205856317563f,-0.6837031045647332661019f,-0.0014388289408900174424f,\ +-0.0464403701173962263349f,-0.0582634176897608505041f,-0.0221676835116708763340f,\ +-0.1671127243957707675381f,-0.3975387523773417086659f,-0.1649600652341057516193f,\ +-0.2862269227110153524407f,-0.0328071976308584797866f,0.0351271945689521844503f,\ +-0.1813816670814733522654f,-0.3701233874684188296378f,0.0635430885883380841550f,\ +-0.1049291365916461549190f,0.0095204817066643597501f,-0.3507837205033069172266f,\ +-0.0490285470477662618793f,-0.1735609734951024107907f,-0.4296178908501777637952f,\ +-0.2551225266448440276434f,-0.0617650291008570578866f,-0.0848934350447099472792f,\ +-0.0331679244708535381214f,0.0578595820981543801365f,-0.9721832280456300656724f,\ +-0.2220295759617292030708f,-0.0235337862370093645059f,0.0670980880683051256197f,\ +0.0456584724702859962031f,-0.4050627643604459149351f,0.0332188086620539904659f,\ +-0.1843762947107071559216f,-0.2025989526775586746510f,-0.1728805677287464093173f,\ +-0.5006140240740283298138f,-0.0039574496715991209703f,-0.3747624646211847876387f,\ +-0.0291826804365620078030f,-0.0644170285495881678184f,-0.020449093098134307755f,\ +0.1324382164856784949158f,-0.3626939268757052303727f,0.0521008032215845851010f,\ +0.0438487661958249438920f,0.0803943913989621228300f,-0.1872441239933456957889f,\ +0.0719513030064179159861f,-0.3021736609622284186472f,-0.30531498564977166410f,\ +0.1057250974802272092123f,-0.0218353036625967035500f,-0.2885450025056992551242f,\ +-0.0214746210927109354438f,-0.0480309906528200089570f,0.1141195620733326948626f,\ +-0.2872136450436454380153f,-0.2146876003507041108520f,-0.0987270319138862650910f,\ +-0.0290961734854755134372f,0.0117611124704010052561f,-0.1486623273058947924952f,\ +0.1031611720947231414236f,-0.3065510644941032425415f,-0.0081304707590571338727f,\ +0.0681862604059072646701f,0.0269042920576901857521f,0.0396225366257938194092f,\ +-0.4394191704520844510284f,-0.4089149013992912085058f,-0.4543230131010723149565f,\ +-0.0586330634787295829069f,-0.4539044694277152292017f,-1.3529821933222951901854f,\ +-0.0250304307835438853702f,0.0358632689692895620381f,0.0372933340583203806751f,\ +-0.0498532689013882687745f,0.0416880085188151769393f,-0.3780489142107763544942f,\ +-0.0569883570641069869822f,-0.1773959401592627993516f,-0.2529880791121558170076f,\ +-0.0887499827789579032178f,-0.0688387899649425538673f,-0.2164511122923038211052f,\ +-0.6104407141161303229637f,0.0686738036393797490753f,-0.0747689959340766124862f,\ +-0.0391919696178445325918f,-0.0650297590330818214843f,0.0896829227334642459235f,\ +0.0266548623220910323173f,-0.3719537274000056514822f,-0.3494566550303903618158f,\ +0.0711759971067136287814f,0.0703223378863101489245f,-0.1795974324279027423135f,\ +-0.2999138709331988783546f,-0.0615107548910408530318f,-0.3900685687486248887090f,\ +-0.0867686652200203717422f,-0.0780592259581650849132f,-0.0014744231840779402701f,\ +0.1312513908465361422984f,0.0034351924950619906404f,-0.1453391630458231997824f,\ +-0.2452127202368474256922f,-0.3536012485332969967899f,0.1109696410995756055140f,\ +-1.2311333463434968038541f,-0.3067437997278838479609f} + +#define CRESULTI {0.3633100487665162359185f,0.1474158063550214115001f,0.5885387980009104680335f,\ +0.6572801175741773693773f,0.4285748579481841735728f,0.6638943219025983388804f,\ +0.3587662857455625187164f,0.5117548829580961244901f,0.1866273414364414962030f,\ +0.0699742348195561969515f,0.3328432735187898949825f,0.5666303041879406920955f,\ +0.5568906423318142895340f,0.6796689265398294654830f,0.6374873742133734255688f,\ +0.5900654029247031084893f,0.3087389836998947201252f,0.4314129861802953325167f,\ +0.5242475923033280693630f,0.0610188495832547500575f,0.4354133593463934692736f,\ +0.5297939421633884871099f,0.2681487567918271475165f,0.1547283383009969981448f,\ +0.2426408568390991671304f,0.4474267034848418145287f,0.2347646885151994655683f,\ +0.2599927875089523832131f,0.6126748695156737367640f,0.2064522777477181547656f,\ +0.0284496210471740680614f,0.2258908609011123780341f,0.3256261235849059465508f,\ +0.3061930542060117277359f,0.5264317995551247575392f,0.2959401807089209746060f,\ +0.4910139616058311062829f,0.3969936639609323303368f,0.1786986723204381510843f,\ +0.4324195385396965018998f,0.5655382812237433887148f,0.6410621383118232374798f,\ +0.3723548821340513237388f,0.5990569422252302045351f,0.0016988593650344200551f,\ +0.5214150467894975715666f,0.3070731387905711318176f,0.0340224494974534080738f,\ +0.5552566039785586937683f,0.1002676097220635414997f,0.4323764448196805720848f,\ +0.1964911590800132445978f,0.6084096209152420886568f,0.0357352532897105071297f,\ +0.3489411661881484660874f,0.5453449961026168857359f,0.0694263094757205379004f,\ +0.2525534710601468613156f,0.6206431406119353733075f,0.0690444796836073154678f,\ +0.3380054707664132407352f,0.0887652999217624361084f,0.4176207649503542729263f,\ +0.3210430331362784106553f,0.2631553422310267675854f,0.2437584071473132274477f,\ +0.4336070270779164292918f,0.3661466421575780838538f,0.5640596254022186561983f,\ +0.0407979674024822880352f,0.5856292520126130662916f,0.5194472182924043668351f,\ +0.3655014659417109568196f,0.4226713256320973055580f,0.3981267146771410581074f,\ +0.0323921796076454895918f,0.3160837480759546291864f,0.3995349584181833169083f,\ +0.273802063686018282151f,0.4000313483957886884212f,0.1544145556607701974539f,\ +0.3952425864610250583198f,0.1693632158699578948990f,0.6627611949754427245196f,\ +0.167173661907591114550f,0.4086002639927426849376f,0.6540985540228395622719f,\ +0.3642324586236761474467f,0.5468253741606181606016f,0.0703565244510996889993f,\ +0.4580361055958868110594f,0.0880301024358387529389f,0.1299718766609879727625f,\ +0.3310527463405003034680f,0.4637212462953029801227f,0.4294623340021747059936f,\ +0.4691072369162453403746f,0.6335809675670333040998f,0.1788460444456893838616f,\ +0.2444904068796305007805f,0.1910877540250672246280f,0.3910553307022346936073f,\ +0.5870156732892560791370f,0.5581921905883382439839f,0.1182006499862187365313f,\ +0.0247387920792678586701f,0.1716217468036307647328f,0.1677637778431290971337f,\ +0.6278971871585069530752f,0.4952349292223454657602f,0.5872771345770251283369f,\ +0.1150482129328096875254f,0.2875910738555041423758f,0.4544626742179224132556f,\ +0.3490957130610289338435f,0.0369504335660946620079f,0.2852598765351710419225f,\ +0.2907565249995825995555f,0.3370230396263981242910f,0.3047404031476670938083f,\ +0.33865617237418182972f,0.5799887649794799315828f,0.2058615017488183152050f,\ +0.1040542236456874769512f,0.5769758315245528956794f,0.6086314545246159779524f,\ +0.1560306547104348962041f,0.4487914762887483810516f,0.2795367938070804081363f,\ +0.3371389774796904048593f,0.1912601282140735381443f,0.3826791464254168939618f,\ +0.2928983745329591936724f,0.396613573038569422469f,0.6618005209348483131038f,\ +0.4362846209517689533008f,0.1830850765515834310815f,0.3800035453193333911948f,\ +0.376730811842592550054f,0.5559265822426159298075f,0.3620694326893729719785f,\ +0.4227803813529266152571f,0.2910061310239929199817f,0.3106691139011089619615f,\ +0.435429394944240932830f,0.5878341337089509899272f,0.4743827280867594087255f,\ +0.2874204018606083543830f,0.2094051712928121644630f,0.4486348592544623370415f,\ +0.3764598089790200385885f,0.3919214486831592569871f,0.0316949858971651426964f,\ +0.2391495340218968146395f,0.486361470580685850695f,0.3397962718388538583270f,\ +0.1571941632596165761004f,0.6427949822892967679522f,0.3189060883322832884446f,\ +0.3675164927613087662017f,0.5242598134907254792125f,0.2484566158604845087510f,\ +0.0480705017921116625756f,0.4475807306655288364539f,0.3691029449284471408710f,\ +0.5016842301167260265160f,0.3950665170276177473596f,0.4392508841037601752255f,\ +0.1996012963954646446396f,0.5673662159944875549300f,0.4652972123009525562409f,\ +0.1933199899606511118488f,0.6541522766180654091528f,0.0972438028822732308809f,\ +0.2132613189014408716648f,0.3697245333311866000159f,0.6342931063454819717862f,\ +0.2533327612355570357394f,0.2380763598053285134970f,0.3736506508141989035821f,\ +0.3285546506249918952136f,0.4011970200297387822985f,0.5663267577447791412126f,\ +0.2910519034072798771895f,0.4184422115344140213899f,0.1770121129168618634431f,\ +0.1829818983774834095790f,0.1440504268816359956240f,0.5858489671891115024849f,\ +0.4947061064648006212252f,0.5945317434266266243270f,0.1360392849738219778200f,\ +0.3438694289300276984989f,0.5310838098864226752838f,0.5016736389654107286518f,\ +0.1554601034674029658156f,0.4147310296690985831347f,0.3535773010333992383281f,\ +0.3345663906426585842979f,0.0670148638928397127890f} + + + + +void slog10sTest(void) { + float in[]=SOURCE; + float res[]=RESULT; + float out; + int i; + + for (i=0;i<200;i++){ + out=slog10s(in[i]); + assert(( (fabs(out-res[i]))/(fabs(out)) )<3e-5); + } +} + +void clog10sTest(void) { + float inR[]=CSOURCER; + float inI[]=CSOURCEI; + float resR[]=CRESULTR; + float resI[]=CRESULTI; + floatComplex in,out; + int i; + + for (i=0;i<200;i++){ + in=FloatComplex(inR[i],inI[i]); + out=clog10s(in); + assert(( (fabs(creals(out)-resR[i]))/(fabs(creals(out))) )<3e-5); + assert(( (fabs(cimags(out)-resI[i]))/(fabs(cimags(out))) )<1e-6); + } +} + +void slog10aTest(void) { + float in[]=SOURCE; + float res[]=RESULT; + float out[200]; + int i,j; + j=1; + slog10a(in,200,out); + for (i=0;i<200;i++){ + assert(( (fabs(out[i]-res[i]))/(fabs(out[i])) )<3e-5); + } +} + +void clog10aTest(void) { + float inR[]=CSOURCER; + float inI[]=CSOURCEI; + float resR[]=CRESULTR; + float resI[]=CRESULTI; + floatComplex *in,out[200]; + int i; + + in=FloatComplexMatrix(inR,inI,200); + clog10a(in,200,out); + + for (i=0;i<200;i++){ + assert(( (fabs(creals(out[i])-resR[i]))/(fabs(creals(out[i]))) )<3e-5); + assert(( (fabs(cimags(out[i])-resI[i]))/(fabs(cimags(out[i]))) )<1e-6); + } +} + +int testLog10(void) { + printf("\n>>>> 10-Based Logarithm Tests\n"); + slog10sTest(); + clog10sTest(); + slog10aTest(); + clog10aTest(); + return 0; +} + +int main(void) { + assert(testLog10() == 0); + return 0; +} diff --git a/2.3-1/src/c/elementaryFunctions/log10/testLog10.h b/2.3-1/src/c/elementaryFunctions/log10/testLog10.h new file mode 100644 index 00000000..5d0ed0a4 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/log10/testLog10.h @@ -0,0 +1,39 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#ifndef _TESTLOG10_H_ +#define _TESTLOG10_H_ + +#include <stdio.h> +#include <assert.h> +#include <math.h> +#include "log10.h" + +void slog10sTest(void); + +void dlog10sTest(void); + +void clog10sTest(void); + +void zlog10sTest(void); + +void slog10aTest(void); + +void dlog10aTest(void); + +void clog10aTest(void); + +void zlog10aTest(void); + +int testLog10(void); + +#endif /* ! _TESTLOG10_H_ */ diff --git a/2.3-1/src/c/elementaryFunctions/log10/zlog10a.c b/2.3-1/src/c/elementaryFunctions/log10/zlog10a.c new file mode 100644 index 00000000..dd25f7a5 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/log10/zlog10a.c @@ -0,0 +1,20 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2007-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "log10.h" + +void zlog10a(doubleComplex* in, int size, doubleComplex* out) { + int i = 0; + for (i = 0 ; i < size ; ++i) { + out[i] = zlog10s(in[i]); + } +} diff --git a/2.3-1/src/c/elementaryFunctions/log10/zlog10s.c b/2.3-1/src/c/elementaryFunctions/log10/zlog10s.c new file mode 100644 index 00000000..5403162f --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/log10/zlog10s.c @@ -0,0 +1,19 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "log10.h" +#include "log.h" + +doubleComplex zlog10s(doubleComplex in) { + doubleComplex log_z = zlogs(in); + return DoubleComplex(zreals(log_z) / dlogs(10.0), zimags(log_z) / dlogs(10.0)); +} diff --git a/2.3-1/src/c/elementaryFunctions/log1p/Makefile.am b/2.3-1/src/c/elementaryFunctions/log1p/Makefile.am new file mode 100644 index 00000000..d62c071e --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/log1p/Makefile.am @@ -0,0 +1,66 @@ +## +## Scilab ( http://www.scilab.org/ ) - This file is part of Scilab +## Copyright (C) 2007-2008 - INRIA - Bruno JOFRET +## +## This file must be used under the terms of the CeCILL. +## This source file is licensed as described in the file COPYING, which +## you should have received as part of this distribution. The terms +## are also available at +## http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt +## +## + +libLog1p_la_CFLAGS = -I ../../type \ + -I ../includes + +instdir = $(top_builddir)/lib + +pkglib_LTLIBRARIES = libLog1p.la + +libLog1p_la_SOURCES = $(HEAD) $(SRC) + +SRC = slog1ps.c \ + dlog1ps.c \ + clog1ps.c \ + zlog1ps.c \ + slog1pa.c \ + dlog1pa.c \ + clog1pa.c \ + zlog1pa.c + +HEAD = ../includes/log1p.h + +#### +# Checking Part +#### + +check_INCLUDES = -I $(top_builddir)/src/c/elementaryFunctions/includes \ + -I $(top_builddir)/src/c/type + +check_LDADD = $(top_builddir)/src/c/type/libDoubleComplex.la \ + $(top_builddir)/src/c/type/libFloatComplex.la \ + $(top_builddir)/src/c/operations/addition/libAddition.la \ + $(top_builddir)/src/fortran/lapack/libscilapack.la \ + $(top_builddir)/src/c/elementaryFunctions/log1p/libLog1p.la \ + $(top_builddir)/src/c/elementaryFunctions/lnp1m1/libLnp1m1.la \ + $(top_builddir)/src/c/auxiliaryFunctions/pythag/libPythag.la \ + 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in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "log1p.h" + +void clog1pa(floatComplex* in, int size, floatComplex* out) { + int i = 0; + for (i = 0; i < size; ++i) { + out[i] = clog1ps(in[i]); + } +} diff --git a/2.3-1/src/c/elementaryFunctions/log1p/clog1ps.c b/2.3-1/src/c/elementaryFunctions/log1p/clog1ps.c new file mode 100644 index 00000000..1cf6c555 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/log1p/clog1ps.c @@ -0,0 +1,18 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "log1p.h" +#include "log.h" + +floatComplex clog1ps(floatComplex in) { + return clogs(FloatComplex(creals(in) + 1, cimags(in))); +} diff --git a/2.3-1/src/c/elementaryFunctions/log1p/dlog1pa.c b/2.3-1/src/c/elementaryFunctions/log1p/dlog1pa.c new file mode 100644 index 00000000..c1bf85ba --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/log1p/dlog1pa.c @@ -0,0 +1,20 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "log1p.h" + +void dlog1pa(double* x, int size, double* y) { + int i = 0; + for (i = 0; i < size; ++i) { + y[i] = dlog1ps(x[i]); + } +} diff --git a/2.3-1/src/c/elementaryFunctions/log1p/dlog1ps.c b/2.3-1/src/c/elementaryFunctions/log1p/dlog1ps.c new file mode 100644 index 00000000..e75a05fd --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/log1p/dlog1ps.c @@ -0,0 +1,34 @@ +/*
+ * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
+ * Copyright (C) 2008-2008 - INRIA - Bruno JOFRET
+ * Copyright (C) Bruno Pincon
+ *
+ * This file must be used under the terms of the CeCILL.
+ * This source file is licensed as described in the file COPYING, which
+ * you should have received as part of this distribution. The terms
+ * are also available at
+ * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt
+ *
+ */
+
+#include "log1p.h"
+#include "log.h"
+#include "lnp1m1.h"
+
+double dlog1ps(double in) {
+ static double A = -1.0/3.0;
+ static double B = 0.5;
+
+ if(in < -1)
+ {/* got NaN */
+ return (in - in) / (in - in); /* NaN */
+ }
+ else if(A <= in && in <= B)
+ {/* use the function log((1+g)/(1-g)) with g = x/(x + 2) */
+ return dlnp1m1s(in / (in + 2));
+ }
+ else
+ {/* use the standard formula */
+ return dlogs(in + 1);
+ }
+}
diff --git a/2.3-1/src/c/elementaryFunctions/log1p/slog1pa.c b/2.3-1/src/c/elementaryFunctions/log1p/slog1pa.c new file mode 100644 index 00000000..05334841 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/log1p/slog1pa.c @@ -0,0 +1,20 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "log1p.h" + +void slog1pa(float* in, int size, float* out) { + int i = 0; + for (i = 0; i < size; ++i) { + out[i] = slog1ps(in[i]); + } +} diff --git a/2.3-1/src/c/elementaryFunctions/log1p/slog1ps.c b/2.3-1/src/c/elementaryFunctions/log1p/slog1ps.c new file mode 100644 index 00000000..04786524 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/log1p/slog1ps.c @@ -0,0 +1,35 @@ +/*
+ * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
+ * Copyright (C) 2008-2008 - INRIA - Bruno JOFRET
+ * Copyright (C) Bruno Pincon
+
+ *
+ * This file must be used under the terms of the CeCILL.
+ * This source file is licensed as described in the file COPYING, which
+ * you should have received as part of this distribution. The terms
+ * are also available at
+ * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt
+ *
+ */
+
+#include "log1p.h"
+#include "log.h"
+#include "lnp1m1.h"
+
+float slog1ps(float in) {
+ static double A = -1.0/3.0;
+ static double B = 0.5;
+
+ if(in < -1)
+ {/* got NaN */
+ return (in - in) / (in - in); /* NaN */
+ }
+ else if(A <= in && in <= B)
+ {/* use the function log((1+g)/(1-g)) with g = x/(x + 2) */
+ return slnp1m1s(in / (in + 2));
+ }
+ else
+ {/* use the standard formula */
+ return slogs(in + 1);
+ }
+}
diff --git a/2.3-1/src/c/elementaryFunctions/log1p/testDoubleLog1p.c b/2.3-1/src/c/elementaryFunctions/log1p/testDoubleLog1p.c new file mode 100644 index 00000000..2faacfaa --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/log1p/testDoubleLog1p.c @@ -0,0 +1,1255 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "testLog1p.h" +#include "math.h" + +#define SOURCE {0.3628176329657435417175,0.924179898109287023544,0.5243524145334959030151,\ +0.7886543427594006061554,0.6525151440873742103577,0.2477638195268809795380,\ +0.2364655844867229461670,0.7240293831564486026764,0.8278210600838065147400,\ +0.4287728047929704189301,0.4858888480812311172485,0.5923984018154442310333,\ +0.0949383648112416267395,0.1356843891553580760956,0.9917455688118934631348,\ +0.7212927364744246006012,0.0115638775750994682312,0.0211908905766904354095,\ +0.1524727698415517807007,0.9165380974300205707550,0.4467271203175187110901,\ +0.5868234331719577312469,0.1882771886885166168213,0.4196520284749567508698,\ +0.2730510598048567771912,0.7565603456459939479828,0.9378882069140672683716,\ +0.0586007428355515003204,0.5101847248151898384094,0.5031699347309768199921,\ 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+0.113488640636205673218,0.4145256043411791324615,0.6172473421320319175720,\ +0.7440188056789338588715,0.9038409832864999771118,0.3976829168386757373810,\ +0.9472072543576359748840,0.2581262919120490550995,0.1955799385905265808105,\ +0.9381833248771727085114,0.4226356102153658866882,0.0937463282607495784760,\ +0.9977992679923772811890,0.2042182614095509052277,0.9455819511786103248596,\ +0.9336234177462756633759,0.9743702597916126251221,0.4100225553847849369049,\ +0.5125095760449767112732,0.0948633304797112941742,0.5688196588307619094849,\ +0.7322562676854431629181,0.8108531581237912178040,0.5459008770994842052460,\ +0.5022544711828231811523,0.7634959020651876926422,0.7354982374235987663269,\ +0.0699520572088658809662,0.6130836438387632369995,0.0965849910862743854523,\ +0.5439325878396630287170,0.9187005828134715557098,0.5072866193950176239014,\ +0.1335940570570528507233,0.8688194593414664268494,0.7999687767587602138519,\ 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+-0.1212709911627764675091,-5.4478934608177302933996,-2.038526631411456513376,\ +-0.0244351485261014196582,-0.0851867338269072515988,-2.7739080469083896574034,\ +-0.0060589862906551463645,-0.8861037385262900967220,-0.1913376676415258770270,\ +-3.2797955584796012473703,-0.7601996918711692030612,-0.7425233371947113081291,\ +-0.9011612089296217043000,-3.2366121340710831688625,-0.8206814815116268979622,\ +-1.1036823082060371881141,-2.4329014344197728014763,-2.1620982756055884266289,\ +-0.0338219993709664781822,-0.2102705479450195091840,-0.9343588647242980771424,\ +-0.2382405357403041268327,-0.7342615153765646995865,-3.609238495954611991579,\ +-0.4002002941250653034189,-0.5794225876492602456125,-1.36087587445700952671,\ +-1.337108967835097139698,-0.8102793489627861944768,-0.1598232322015146200656,\ +-1.449419270934711789778,-1.1154941876589379301521,-1.4900565023732303959747,\ +-1.05873701535465292167,-0.2557770454111949476328,-2.0511763516400991491651,\ +-2.1573531687271665369110,-1.5826302735280548539265,-0.7906399256902217898002,\ +-0.4282400343889684046772,-2.6450250856057104797969,-2.0670859842226763092299,\ +-0.6982162977399214431884,-2.4312485274946018520836,-1.9223514861397812403254,\ +-0.3352847494467096622905,-0.0719538807151878373469} + +#define ZSOURCER {0.3140813848003745079041,0.5769402063451707363129,0.1306138429790735244751,\ +0.0478980806656181812286,0.4500174494460225105286,0.0384718659333884716034,\ +0.483350999653339385986,0.2981918179430067539215,0.7112689120694994926453,\ +0.9268360524438321590424,0.9477838929742574691772,0.1729496796615421772003,\ +0.2750928336754441261292,0.0044281478039920330048,0.0611358620226383209229,\ +0.1950612799264490604401,0.3789803450927138328552,0.2549188635312020778656,\ +0.1764185149222612380981,0.6008180272765457630157,0.3703392641618847846985,\ +0.2908470141701400279999,0.5384815335273742675781,0.8090293356217443943024,\ +0.9260985879227519035339,0.1576966657303273677826,0.9518593531101942062378,\ +0.2709982101805508136749,0.1609848598018288612366,0.8782086591236293315887,\ +0.5091647170484066009521,0.7951062084175646305084,0.8432204117998480796814,\ +0.5806765086017549037933,0.3487791065126657485962,0.9397577759809792041779,\ +0.4363934816792607307434,0.5549766751937568187714,0.9105900451540946960449,\ +0.5684339576400816440582,0.1862502051517367362976,0.0800832151435315608978,\ +0.6585252787917852401733,0.1606054832227528095245,0.9711584830656647682190,\ +0.3668168033473193645477,0.7386338301002979278564,0.9722552285529673099518,\ +0.1349937235936522483826,0.4595781317912042140961,0.5414639282971620559692,\ +0.6397600513882935047150,0.0211964594200253486633,0.4408156829886138439178,\ +0.6374878138303756713867,0.3208820023573935031891,0.4267518399283289909363,\ +0.7819778784178197383881,0.0543234180659055709839,0.9666189108975231647491,\ 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+0.7860159231349825859070,0.1736893891356885433197,0.2674629595130681991577,\ +0.7357366015203297138214,0.0550541067495942115784,0.5923380698077380657196,\ +0.2162457890808582305908,0.7718841419555246829987,0.0926524316892027854919,\ +0.7626169077120721340179,0.7347808051854372024536,0.8017499190755188465118,\ +0.7732572900131344795227,0.2559880572371184825897,0.1179054826498031616,\ +0.9232815303839743137360,0.6709534404799342155457,0.6071323617361485958099,\ +0.4574467372149229049683,0.8206311021931469440460,0.0896153757348656654358,\ +0.3426358769647777080536,0.1674894802272319793701,0.9481152505613863468170,\ +0.9504805644974112510681,0.3436607695184648036957,0.2889420483261346817017,\ +0.5325344172306358814240,0.2558945687487721443176,0.8863505902700126171112,\ +0.0421485081315040588379,0.4876015805639326572418} + +#define ZSOURCEI {0.347978035919368267059,0.2037199228070676326752,0.5962978359311819076538,\ +0.8342303414829075336456,0.6809655660763382911682,0.9127784068696200847626,\ +0.5243799723684787750244,0.7204323844052851200104,0.3259664541110396385193,\ +0.1506391367875039577484,0.9124387521296739578247,0.6345743131823837757111,\ +0.9268973069265484809875,0.7633614349178969860077,0.5918717086315155029297,\ +0.9057438620366156101227,0.3263365356251597404480,0.3912780000828206539154,\ +0.4635267537087202072144,0.0849754814989864826202,0.5800507226958870887756,\ +0.7945564310066401958466,0.3823457323014736175537,0.3010852993465960025787,\ +0.5789428642019629478455,0.2627451247535645961761,0.5713048521429300308228,\ +0.1848654565401375293732,0.9971724869683384895325,0.4520535501651465892792,\ +0.0334019884467124938965,0.4553878181613981723785,0.7851976407691836357117,\ +0.4941168962977826595306,0.9304408635944128036499,0.7621670593507587909698,\ +0.9264887655153870582581,0.7199950958602130413055,0.3973621018230915069580,\ 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+0.5747222309000790119171,0.4764349022880196571350,0.6098947445861995220184,\ +0.9666662178933620452881,0.3874611915089190006256,0.0715632727369666099548,\ +0.6122049516998231410980,0.9575729314237833023071,0.7723352131433784961700,\ +0.1287384750321507453918,0.3884150418452918529510,0.2353963479399681091309,\ +0.6542267077602446079254,0.3286431683227419853210,0.024017625954002141953,\ +0.1042741741985082626343,0.9314296473748981952667,0.8185661518946290016174,\ +0.8156488086096942424774,0.8688247688114643096924,0.3549220249988138675690,\ +0.3890381073579192161560,0.6415715864859521389008,0.4902750719338655471802,\ +0.3509976905770599842072,0.8516392158344388008118,0.1348936217837035655975,\ +0.1156354099512100219727,0.8810075619257986545563,0.8367286501452326774597,\ +0.5032693906687200069427,0.4486711751669645309448,0.9319602106697857379913,\ +0.7298459419980645179749,0.3388367067091166973114,0.4314213804900646209717,\ +0.7317318231798708438873,0.9655342241749167442322,0.2621376193128526210785,\ +0.2050140891224145889282,0.2826355365104973316193,0.3973353477194905281067,\ +0.7437736871652305126190,0.8185287192463874816895,0.3071001493372023105621,\ +0.9627068741247057914734,0.9475456266663968563080,0.6546552237123250961304,\ +0.1992082078941166400909,0.3616109425202012062073,0.9388273353688418865204,\ +0.0409001447260379791260,0.0758434669114649295807} + +#define ZRESULTR {-0.7576646139762764908809,-0.4912662732014974609207,-0.4935831983604013761813,\ +-0.1796001444111503253520,-0.2030603062114124668369,-0.0903746939402042676059,\ +-0.3380442117380291211504,-0.2488385719103628768156,-0.2453827611475934422636,\ +-0.0629419446509737884332,0.2743030686751847802007,-0.4189753318430110562431,\ +-0.0337034837449739430038,-0.2700068328094388236948,-0.5191589716059612502619,\ +-0.0763304013057857499991,-0.6929039668216129266298,-0.7614418400301237177530,\ +-0.7012514181881327468560,-0.4995602487864141960650,-0.3736855282655331400576,\ +-0.1670990767606896909570,-0.4148838171877601843640,-0.1470641870540525808497,\ +0.0881657571965975273010,-1.1827451998005302780115,0.1044920740886167709327,\ +-1.1145963776166571967963,0.0100332050022288142566,-0.0123498399546466911675,\ +-0.6728365416861274983518,-0.0874315516128119363248,0.1416698281269971604335,\ +-0.2712125731855208887744,-0.0063567040970050154788,0.1906009971260032298535,\ +0.0238331967155752874610,-0.0953429917974444041118,-0.0065067191893498198957,\ +0.0440644425532304637172,-0.3540655459766552382028,-0.1661126167793314234444,\ +0.0062509933701612868662,-0.1693877982336349785619,-0.0292579566847096204929,\ +0.0137816953226981269570,-0.0288761524361324552201,-0.0250652390791611112686,\ +-0.7581745137578204118967,-0.7505545612383084375097,-0.0046973071232757198853,\ +-0.3406170651999906873186,-2.0764518222153585114143,-0.8157393323281721952966,\ +-0.0852474852363154095292,0.0348077956215509243254,-0.8387202021909221372198,\ +-0.0663540586103768398329,-0.9554969196553003696337,-0.0212599130834864695483,\ +-0.0245601140031842454792,-1.6679899099681032570430,-0.4509584277017124609443,\ +0.1011698547763601602201,-0.2120439010955574854478,-0.1131958883879479044188,\ +0.0199327284817682297280,0.0781443465987670671247,-0.3004592565973881468366,\ +-0.1451799924584522560878,-0.5281452333714923286223,-0.0505933914241510074294,\ +-0.2819958038859460280889,-0.122323084811984963971,-0.2632782651610236501760,\ +-0.0540558326414990047981,0.2512879183645665981395,-0.1214932149359973512226,\ +0.0055773659320434761794,0.0673704632706614986448,-0.2906343733694730646633,\ +0.0851020319327377705587,0.0365640112295984101576,-1.0976622196833336619903,\ +-0.4020870876485082012763,-0.3719849821436939651953,-0.3158125612041708385469,\ +0.2324359424588408329360,-1.5742845766045041600023,-0.0033130260706617652329,\ 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+-0.0671956049468366567456,-0.1483256896732535745631,-0.0470857769330114903084,\ +0.3049502630226416100001,-0.8351336293434713509143,0.1199665328310368234144,\ +0.100965515388687754328,0.1851149271955789266109,-0.4311455286578065315695,\ +0.1656739977240755667953,-0.6957805672270640506838,-0.7030137346248552798755,\ +0.2434410334133135511703,-0.0502776447144934607314,-0.6643994214275527054880,\ +-0.0494471424057717073852,-0.1105954430789197057150,0.2627700024490645658304,\ +-0.6613338575819812659162,-0.4943364682181946023753,-0.2273273919604619497381,\ +-0.0669964153308245241591,0.0270809622513717325465,-0.3423076587443550367063,\ +0.2375373770411028651051,-0.7058599113455784612725,-0.0187211007688289424178,\ +0.1570046667576522059218,0.0619494218295955287323,0.0912342621811634557627,\ +-1.0118000314587793919685,-0.9415613562651380386015,-1.04611739737066766764,\ +-0.1350076179226963601909,-1.045153664947628735504,-3.1153566294303054462489,\ +-0.0576346967934074291828,0.0825782285147220879162,0.0858710750707356584854,\ +-0.1147913938093602786994,0.0959901869720326261781,-0.8704897942843184965866,\ +-0.1312205414500346722928,-0.4084692473683823599195,-0.5825265796688483543875,\ +-0.2043543873503067542785,-0.1585071715930248537063,-0.4983971045262390875408,\ +-1.405591688480441803222,0.1581272765392360557524,-0.1721619754559372272862,\ +-0.0902428450071243726249,-0.1497365537505691013287,0.2065025609822116192671,\ +0.0613750886386554700413,-0.8564551079948240497330,-0.804653684520539647096,\ +0.1638887899169061412863,0.1619231669215081825808,-0.4135383706484943022730,\ +-0.6905772083929240245936,-0.1416337472709212619293,-0.8981660716461068449945,\ +-0.1997922350746098307805,-0.1797380100619248022298,-0.0033949848444226812805,\ +0.3022174959979692654422,0.0079098230306947625579,-0.3346557902575436060921,\ +-0.5646231542298842942529,-0.8141969637368523526888,0.2555170413707821830407,\ +-2.8347892907784113525338,-0.7063037006217763869032} + +#define ZRESULTI {0.8365523024247201178127,0.3394374381847692356828,1.355160662925530390410,\ +1.5134434006476746858993,0.9868300791435297147913,1.528673168936313331301,\ +0.8260899014265745687879,1.1783591647662248202977,0.4297253343366602140740,\ +0.1611216299891750081130,0.7663999599077054858398,1.3047144916618338417180,\ +1.2822880914611145541926,1.5649955384218765530591,1.4678689248356304730692,\ +1.3586758006659467312716,0.7108977814935093508808,0.9933651109027943348906,\ +1.2071246910756632253481,0.1405010934420483359464,1.0025763105214653414521,\ +1.21989563358396813086,0.6174353300937470701015,0.3562751652356153653223,\ +0.5587012199090121145062,1.0302380576516638743811,0.5405656721364887618009,\ +0.5986555168040823549092,1.4107360213988626718162,0.4753739371565622318094,\ +0.0655076733245526648952,0.5201329289544929235234,0.7497818580560413614933,\ +0.7050355621930805005704,1.2121540141336599738509,0.6814274485183255958276,\ +1.1306014284455374596661,0.9141116926495304051414,0.4114688990228685949724,\ +0.9956827833608694611200,1.3022000158632660582469,1.4761001233596913184698,\ +0.8573788009054216230354,1.379379585022410426021,0.0039117682490215858332,\ +1.2006025140002900553071,0.7070620318380608226860,0.0783395850399789817065,\ +1.2785255791075276210478,0.2308747034561683952880,0.9955835564035591112031,\ +0.4524376138027601523817,1.4009149235535949262754,0.0822834615192538504358,\ +0.8034667275967887212218,1.2557032585647818212493,0.1598599852603853899158,\ +0.5815258576469973794687,1.4290836436420499833133,0.1589807896730044689537,\ +0.7782863583371778526399,0.2043896563749957318024,0.9616073478994561218869,\ +0.7392289023091881405847,0.6059375681629087795343,0.5612744745893767372991,\ +0.9984170767670760282542,0.8430838000818645650014,1.29879528501095431459,\ 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+0.5833202395880134893957,0.5481910770820362932554,0.8603624185522980027940,\ +0.7565250407629732221082,0.9237902776741101495972,1.3040155501467787235725,\ +0.6701717740731456540715,0.9634987985586029868301,0.4075854524817449364704,\ +0.4213313914917447000619,0.3316883655770838101873,1.3489670985956061510791,\ +1.1391029061589752480188,1.3689599297259111843061,0.3132420296422914196555,\ +0.7917886209906572769768,1.2228656637749606428400,1.1551462426298317875961,\ +0.3579601167993540777879,0.9549534865181378284760,0.8141418225805733266398,\ +0.7703675837106083168493,0.1543074266086776613616} + + + + +#define SOURCE2 {2.6395560009405016899109,4.1481037065386772155762,2.8064980218186974525452,\ +1.2800584640353918075562,7.7831285959109663963318,2.1190304495394229888916,\ +1.121354666538536548615,6.8568959552794694900513,1.5312166837975382804871,\ +6.970850601792335510254,8.4155184263363480567932,4.0620247554033994674683,\ 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+4.1948772873729467391968,8.6262222891673445701599,2.8575096465647220611572,\ +2.5121363671496510505676,3.389101596549153327942} + + +#define RESULT2 {0.9706107215522056241852,1.4226512916310911638362,1.0319374505428213772973,\ +0.246905751916103338717,2.0519583905069445073366,0.7509586489514044060911,\ +0.1145374781176292794394,1.9252548546825831721208,0.4260626375542267973984,\ +1.9417372548863311987333,2.1300774331528766758481,1.4016815575274605976119,\ +1.4097240974656071177407,2.1729462062921069964716,0.1295883538042104654586,\ +0.6923157050192292327751,1.7260933336118711167728,1.7743042306089458204355,\ +1.9248294562744026059420,2.1867504404929474226549,1.6178450344817050243762,\ +1.2509371333857781660726,1.3542304576599399901227,2.2216893784894660157647,\ +2.2500472625069045662372,1.2341151000295289552611,1.3244505343759986892849,\ +1.993466976516135025221,0.9615552493321314342367,1.6081358323702796830901,\ 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+0.9970494522713124752045,0.4636328797787427902222,0.7769650523550808429718,\ +0.3400075891986489295959,0.0353285889141261577606,0.2607673071324825286865,\ +0.5790986777283251285553,0.1250711670145392417908,0.0372988111339509487152,\ +0.9382179621607065200806,0.5585843441076576709747,0.7192503632977604866028,\ +0.3599752518348395824432,0.6758626028895378112793,0.2222136431373655796051,\ +0.7860159231349825859070,0.1736893891356885433197,0.2674629595130681991577,\ +0.7357366015203297138214,0.0550541067495942115784,0.5923380698077380657196,\ +0.2162457890808582305908,0.7718841419555246829987,0.0926524316892027854919,\ +0.7626169077120721340179,0.7347808051854372024536,0.8017499190755188465118,\ +0.7732572900131344795227,0.2559880572371184825897,0.1179054826498031616,\ +0.9232815303839743137360,0.6709534404799342155457,0.6071323617361485958099,\ +0.4574467372149229049683,0.8206311021931469440460,0.0896153757348656654358,\ +0.3426358769647777080536,0.1674894802272319793701,0.9481152505613863468170,\ +0.9504805644974112510681,0.3436607695184648036957,0.2889420483261346817017,\ +0.5325344172306358814240,0.2558945687487721443176,0.8863505902700126171112,\ +0.0421485081315040588379,0.4876015805639326572418} + +#define ZSOURCEI {0.347978035919368267059,0.2037199228070676326752,0.5962978359311819076538,\ +0.8342303414829075336456,0.6809655660763382911682,0.9127784068696200847626,\ +0.5243799723684787750244,0.7204323844052851200104,0.3259664541110396385193,\ +0.1506391367875039577484,0.9124387521296739578247,0.6345743131823837757111,\ +0.9268973069265484809875,0.7633614349178969860077,0.5918717086315155029297,\ +0.9057438620366156101227,0.3263365356251597404480,0.3912780000828206539154,\ +0.4635267537087202072144,0.0849754814989864826202,0.5800507226958870887756,\ +0.7945564310066401958466,0.3823457323014736175537,0.3010852993465960025787,\ 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+0.6850274773314595222473,0.0382853033952414989471,0.5224257782101631164551,\ +0.7454454028047621250153,0.4607118470594286918640,0.4753002314828336238861,\ +0.8575385268777608871460,0.8073885519988834857941,0.7132545644417405128479,\ +0.0811268086545169353485,0.5751824118196964263916,0.884696914348751306534,\ +0.5624709790572524070740,0.7315255901776254177094,0.6099120099097490310669,\ +0.0705954921431839466095,0.8552806274965405464172,0.7045627343468368053436,\ +0.5928074717521667480469,0.8517647930420935153961,0.2603117255493998527527,\ +0.8596871509216725826263,0.3943212013691663742065,0.3333164160139858722687,\ +0.2511775353923439979553,0.5570420245639979839325,0.7276714108884334564209,\ +0.9383780122734606266022,0.1971746077761054039001,0.1607607132755219936371,\ +0.7815325502306222915649,0.1760376212187111377716,0.2801528992131352424622,\ +0.4699970218352973461151,0.3507726117968559265137,0.5713973813690245151520,\ +0.4563077641651034355164,0.9214398502372205257416,0.4339873101562261581421,\ +0.3514866163022816181183,0.1816438222303986549377,0.9070622171275317668915,\ +0.7665811367332935333252,0.9807842955924570560455,0.1198607003316283226013,\ +0.0508546582423150539398,0.2581452894955873489380,0.1401008707471191883087,\ +0.5514106499031186103821,0.7882929998449981212616,0.8028824776411056518555,\ +0.2425694861449301242828,0.7024780390784144401550,0.0922905071638524532318,\ +0.4318286012858152389526,0.0804965649731457233429,0.7126307198777794837952,\ +0.6893844078294932842255,0.2756213061511516571045,0.6968217701651155948639,\ +0.4598932703956961631775,0.6099067903123795986176,0.3065654132515192031860,\ +0.0749373403377830982208,0.9619921119883656501770,0.4158898773603141307831,\ +0.3287452235817909240723,0.7406168007291853427887,0.5725225014612078666687,\ +0.9504556744359433650970,0.1849336978048086166382,0.8698030491359531879425,\ +0.6907873982563614845276,0.9524399931542575359344,0.6490485109388828277588,\ +0.9960058168508112430573,0.2040582066401839256287,0.3800008497200906276703,\ +0.9729049820452928543091,0.9110585046000778675079,0.3810073928907513618469,\ +0.7869612383656203746796,0.5560158789157867431641,0.8529843934811651706696,\ +0.4350629774853587150574,0.5956362797878682613373,0.7071880977600812911987,\ +0.5747222309000790119171,0.4764349022880196571350,0.6098947445861995220184,\ +0.9666662178933620452881,0.3874611915089190006256,0.0715632727369666099548,\ +0.6122049516998231410980,0.9575729314237833023071,0.7723352131433784961700,\ +0.1287384750321507453918,0.3884150418452918529510,0.2353963479399681091309,\ +0.6542267077602446079254,0.3286431683227419853210,0.024017625954002141953,\ +0.1042741741985082626343,0.9314296473748981952667,0.8185661518946290016174,\ +0.8156488086096942424774,0.8688247688114643096924,0.3549220249988138675690,\ +0.3890381073579192161560,0.6415715864859521389008,0.4902750719338655471802,\ +0.3509976905770599842072,0.8516392158344388008118,0.1348936217837035655975,\ +0.1156354099512100219727,0.8810075619257986545563,0.8367286501452326774597,\ +0.5032693906687200069427,0.4486711751669645309448,0.9319602106697857379913,\ +0.7298459419980645179749,0.3388367067091166973114,0.4314213804900646209717,\ +0.7317318231798708438873,0.9655342241749167442322,0.2621376193128526210785,\ +0.2050140891224145889282,0.2826355365104973316193,0.3973353477194905281067,\ +0.7437736871652305126190,0.8185287192463874816895,0.3071001493372023105621,\ +0.9627068741247057914734,0.9475456266663968563080,0.6546552237123250961304,\ +0.1992082078941166400909,0.3616109425202012062073,0.9388273353688418865204,\ +0.0409001447260379791260,0.0758434669114649295807} + +#define ZRESULTR {-0.7576646139762764908809,-0.4912662732014974609207,-0.4935831983604013761813,\ +-0.1796001444111503253520,-0.2030603062114124668369,-0.0903746939402042676059,\ +-0.3380442117380291211504,-0.2488385719103628768156,-0.2453827611475934422636,\ +-0.0629419446509737884332,0.2743030686751847802007,-0.4189753318430110562431,\ +-0.0337034837449739430038,-0.2700068328094388236948,-0.5191589716059612502619,\ +-0.0763304013057857499991,-0.6929039668216129266298,-0.7614418400301237177530,\ +-0.7012514181881327468560,-0.4995602487864141960650,-0.3736855282655331400576,\ +-0.1670990767606896909570,-0.4148838171877601843640,-0.1470641870540525808497,\ +0.0881657571965975273010,-1.1827451998005302780115,0.1044920740886167709327,\ +-1.1145963776166571967963,0.0100332050022288142566,-0.0123498399546466911675,\ +-0.6728365416861274983518,-0.0874315516128119363248,0.1416698281269971604335,\ +-0.2712125731855208887744,-0.0063567040970050154788,0.1906009971260032298535,\ +0.0238331967155752874610,-0.0953429917974444041118,-0.0065067191893498198957,\ +0.0440644425532304637172,-0.3540655459766552382028,-0.1661126167793314234444,\ +0.0062509933701612868662,-0.1693877982336349785619,-0.0292579566847096204929,\ +0.0137816953226981269570,-0.0288761524361324552201,-0.0250652390791611112686,\ +-0.7581745137578204118967,-0.7505545612383084375097,-0.0046973071232757198853,\ +-0.3406170651999906873186,-2.0764518222153585114143,-0.8157393323281721952966,\ +-0.0852474852363154095292,0.0348077956215509243254,-0.8387202021909221372198,\ +-0.0663540586103768398329,-0.9554969196553003696337,-0.0212599130834864695483,\ +-0.0245601140031842454792,-1.6679899099681032570430,-0.4509584277017124609443,\ +0.1011698547763601602201,-0.2120439010955574854478,-0.1131958883879479044188,\ +0.0199327284817682297280,0.0781443465987670671247,-0.3004592565973881468366,\ +-0.1451799924584522560878,-0.5281452333714923286223,-0.0505933914241510074294,\ +-0.2819958038859460280889,-0.122323084811984963971,-0.2632782651610236501760,\ +-0.0540558326414990047981,0.2512879183645665981395,-0.1214932149359973512226,\ +0.0055773659320434761794,0.0673704632706614986448,-0.2906343733694730646633,\ +0.0851020319327377705587,0.0365640112295984101576,-1.0976622196833336619903,\ +-0.4020870876485082012763,-0.3719849821436939651953,-0.3158125612041708385469,\ +0.2324359424588408329360,-1.5742845766045041600023,-0.0033130260706617652329,\ +-0.1069329039454427060507,-0.1341564770393289252048,-0.0510429776001832605226,\ +-0.3847912680433241972011,-0.9153668051115183557087,-0.3798345871473772783489,\ +-0.6590618454479428844905,-0.0755413642077243097095,0.0808833545731707098669,\ +-0.417646722764209388234,-0.8522405945532404158982,0.1463133685463073596633,\ +-0.2416082657366604991012,0.0219217192558878656850,-0.8077093656959043466159,\ +-0.1128924015633438332484,-0.3996389102953575300781,-0.9892317511551623754329,\ +-0.5874413267393940873973,-0.1422192352759769073955,-0.1954743580270074387872,\ +-0.0763719684521397823573,0.1332266112260754309382,-2.2385346085566988350024,\ +-0.5112419918132667939759,-0.0541885453710462053345,0.1544990573544810508189,\ +0.1051325180789595692410,-0.9326914829433226028499,0.0764891336322670034598,\ +-0.4245421077023512346216,-0.4665013282915527192962,-0.3980722181205589849107,\ +-1.152706389176620049852,-0.0091123646200983177135,-0.8629224644504486230190,\ +-0.0671956049468366567456,-0.1483256896732535745631,-0.0470857769330114903084,\ +0.3049502630226416100001,-0.8351336293434713509143,0.1199665328310368234144,\ +0.100965515388687754328,0.1851149271955789266109,-0.4311455286578065315695,\ +0.1656739977240755667953,-0.6957805672270640506838,-0.7030137346248552798755,\ +0.2434410334133135511703,-0.0502776447144934607314,-0.6643994214275527054880,\ +-0.0494471424057717073852,-0.1105954430789197057150,0.2627700024490645658304,\ +-0.6613338575819812659162,-0.4943364682181946023753,-0.2273273919604619497381,\ +-0.0669964153308245241591,0.0270809622513717325465,-0.3423076587443550367063,\ +0.2375373770411028651051,-0.7058599113455784612725,-0.0187211007688289424178,\ +0.1570046667576522059218,0.0619494218295955287323,0.0912342621811634557627,\ +-1.0118000314587793919685,-0.9415613562651380386015,-1.04611739737066766764,\ +-0.1350076179226963601909,-1.045153664947628735504,-3.1153566294303054462489,\ +-0.0576346967934074291828,0.0825782285147220879162,0.0858710750707356584854,\ +-0.1147913938093602786994,0.0959901869720326261781,-0.8704897942843184965866,\ +-0.1312205414500346722928,-0.4084692473683823599195,-0.5825265796688483543875,\ +-0.2043543873503067542785,-0.1585071715930248537063,-0.4983971045262390875408,\ +-1.405591688480441803222,0.1581272765392360557524,-0.1721619754559372272862,\ +-0.0902428450071243726249,-0.1497365537505691013287,0.2065025609822116192671,\ +0.0613750886386554700413,-0.8564551079948240497330,-0.804653684520539647096,\ +0.1638887899169061412863,0.1619231669215081825808,-0.4135383706484943022730,\ +-0.6905772083929240245936,-0.1416337472709212619293,-0.8981660716461068449945,\ +-0.1997922350746098307805,-0.1797380100619248022298,-0.0033949848444226812805,\ +0.3022174959979692654422,0.0079098230306947625579,-0.3346557902575436060921,\ +-0.5646231542298842942529,-0.8141969637368523526888,0.2555170413707821830407,\ +-2.8347892907784113525338,-0.7063037006217763869032} + +#define ZRESULTI {0.8365523024247201178127,0.3394374381847692356828,1.355160662925530390410,\ +1.5134434006476746858993,0.9868300791435297147913,1.528673168936313331301,\ +0.8260899014265745687879,1.1783591647662248202977,0.4297253343366602140740,\ +0.1611216299891750081130,0.7663999599077054858398,1.3047144916618338417180,\ +1.2822880914611145541926,1.5649955384218765530591,1.4678689248356304730692,\ +1.3586758006659467312716,0.7108977814935093508808,0.9933651109027943348906,\ +1.2071246910756632253481,0.1405010934420483359464,1.0025763105214653414521,\ +1.21989563358396813086,0.6174353300937470701015,0.3562751652356153653223,\ +0.5587012199090121145062,1.0302380576516638743811,0.5405656721364887618009,\ +0.5986555168040823549092,1.4107360213988626718162,0.4753739371565622318094,\ +0.0655076733245526648952,0.5201329289544929235234,0.7497818580560413614933,\ +0.7050355621930805005704,1.2121540141336599738509,0.6814274485183255958276,\ +1.1306014284455374596661,0.9141116926495304051414,0.4114688990228685949724,\ +0.9956827833608694611200,1.3022000158632660582469,1.4761001233596913184698,\ +0.8573788009054216230354,1.379379585022410426021,0.0039117682490215858332,\ +1.2006025140002900553071,0.7070620318380608226860,0.0783395850399789817065,\ +1.2785255791075276210478,0.2308747034561683952880,0.9955835564035591112031,\ +0.4524376138027601523817,1.4009149235535949262754,0.0822834615192538504358,\ +0.8034667275967887212218,1.2557032585647818212493,0.1598599852603853899158,\ +0.5815258576469973794687,1.4290836436420499833133,0.1589807896730044689537,\ +0.7782863583371778526399,0.2043896563749957318024,0.9616073478994561218869,\ +0.7392289023091881405847,0.6059375681629087795343,0.5612744745893767372991,\ +0.9984170767670760282542,0.8430838000818645650014,1.29879528501095431459,\ +0.0939407915654127262384,1.3484611857054962236191,1.1960714214373144859138,\ +0.8415982269448546437829,0.9732366936364994502995,0.9167206383382787704406,\ +0.0745857498941502189416,0.7278097264573785141195,0.9199632393837048338625,\ +0.6304525502744320331061,0.9211062195464506663356,0.3555526540057888373880,\ +0.9100796877015666641597,0.3899732161636976779384,1.5260640477653748536824,\ +0.3849315818496458763143,0.9408368768631211187525,1.5061175798419510485360,\ +0.838676229611447277001,1.2591119550131308901797,0.1620018843959732390836,\ +1.0546671087981356329522,0.2026968016035011754816,0.299271305708051660321,\ +0.7622771187183752239491,1.067757629024185028754,0.9888735682758375000745,\ +1.0801593307389727449674,1.4588740911245949849473,0.4118082358815949306496,\ +0.5629599662610861310341,0.4399958138718327860239,0.9004381750108224613527,\ +1.3516535386697041687398,1.2852850170743990165789,0.2721670546404741375390,\ +0.0569631738604013462823,0.3951736758236387148102,0.3862903740059538404417,\ +1.4457867030840705346861,1.1403205655573340759901,1.3522555755333163229892,\ +0.264908300074692404369,0.6622029195378335009181,1.0464389789763977045567,\ +0.8038225849224520658254,0.0850815175089563863198,0.6568351393392068970911,\ +0.669491640154789569017,0.7760242270392859742500,0.7016907095208140265896,\ +0.7797846541592131641707,1.335473484345777617222,0.4740136251481967821775,\ +0.2395937042296285568455,1.3285359486862795552753,1.401425714315664317056,\ +0.3592738595863486095183,1.0333805631652628331807,0.6436572543635337151358,\ +0.7762911838119904706090,0.4403927201098556398762,0.8811512979588507210593,\ +0.674423430961778702653,0.9132365009577151360176,1.5238520140402758151765,\ +1.00458246450610100275,0.4215689680173497211335,0.874990498737184374534,\ +0.8674547514202983755638,1.2800682610709759323697,0.8336956783393613124034,\ +0.9734878037135866746254,0.6700663792657182149526,0.7153420705223627606983,\ +1.0026132338500262086711,1.3535381134312993722801,1.0923065980664201646277,\ +0.6618099327465949421878,0.4821732258146940175436,1.033019939116806895640,\ +0.8668307442664776596430,0.9024324853624734465996,0.0729804020494689703602,\ +0.5506621520352920073904,1.1198886719657494825952,0.7824098301910974440077,\ +0.3619529370272654977825,1.4800901440707066036850,0.7343084050589578914980,\ +0.8462379976616437593506,1.2071528313995831815930,0.5720924999360996743292,\ +0.1106864208392598775132,1.0305927183418297499173,0.8498909387724447039858,\ +1.15517062965696792887,0.9096742728488710350021,1.01141253782177353848,\ +0.4595989696224830889371,1.3064089912173471041967,1.071386424855859109684,\ +0.4451357270611538408112,1.5062412806888749727818,0.2239121309027737871666,\ +0.4910523338147070870896,0.8513221989625705532490,1.460513851259993778342,\ +0.5833202395880134893957,0.5481910770820362932554,0.8603624185522980027940,\ +0.7565250407629732221082,0.9237902776741101495972,1.3040155501467787235725,\ +0.6701717740731456540715,0.9634987985586029868301,0.4075854524817449364704,\ +0.4213313914917447000619,0.3316883655770838101873,1.3489670985956061510791,\ +1.1391029061589752480188,1.3689599297259111843061,0.3132420296422914196555,\ +0.7917886209906572769768,1.2228656637749606428400,1.1551462426298317875961,\ +0.3579601167993540777879,0.9549534865181378284760,0.8141418225805733266398,\ +0.7703675837106083168493,0.1543074266086776613616} + + + +#define ZSOURCE2R {3.9219759730622172355652,4.6815521270036697387695,3.361602746881544589996,\ +5.3368766140192747116089,2.03906395938247442245,1.5899897180497646331787,\ +0.1818151073530316352844,4.0983706060796976089478,0.1058345986530184745789,\ +1.9653097167611122131348,2.7255953708663582801819,3.4376550372689962387085,\ +2.0337020372971892356873,3.0119446106255054473877,2.7625959040597081184387,\ +2.9445307422429323196411,5.7180739520117640495300,2.141770124435424804688,\ +6.8954616272822022438049,5.8555728476494550704956,4.2041230341419577598572,\ +4.2775720171630382537842,3.1845858739688992500305,5.7618944440037012100220,\ +4.2549022240564227104187,9.7619816288352012634277,2.518960000015795230866,\ +4.3911290075629949569702,0.7593036955222487449646,2.5593801774084568023682,\ +0.6706167431548237800598,7.6511315722018480300903,0.4173615900799632072449,\ +3.438271805644035339356,1.9701673323288559913635,2.1228986512869596481323,\ +3.1403985014185309410095,7.8216253779828548431396,0.5409323470667004585266,\ +9.1902069095522165298462,4.6035157097503542900085,2.9926850274205207824707,\ +0.0291663268581032752991,8.9934705849736928939819,8.3879271661862730979919,\ +4.3437494523823261260986,7.7678761305287480354309,1.3953176606446504592896,\ +1.1506372271105647087097,5.3554199635982513427734,4.3117330456152558326721,\ +6.145384786650538444519,9.2589621385559439659119,0.9938172809779644012451,\ +4.2805786477401852607727,9.431830951943993568420,0.3273952705785632133484,\ +9.2132670804858207702637,9.4490244099870324134827,9.007069906219840049744,\ +8.0943161016330122947693,0.2519542910158634185791,0.0196450622752308845520,\ +5.0752213317900896072388,4.0760429529473185539246,8.4080461412668228149414,\ +5.017265700735151767731,9.1287807654589414596558,4.4357294728979468345642,\ +5.9837839566171169281006,7.7418426470831036567688,7.9220082703977823257446,\ +5.5046048713847994804382,4.0850437059998512268066,7.2174380579963326454163,\ +4.768535858020186424255,6.3930579042062163352966,9.963865298777818679810,\ +1.5747882844880223274231,5.3506936598569154739380,2.1290646074339747428894,\ +5.59145063161849975586,4.304965981282293796539,0.2280548494309186935425,\ +5.7614597817882895469666,7.1491303853690624237061,9.3216359661892056465149,\ +1.2326993141323328018188,2.8655522270128130912781,0.1247995719313621520996,\ +5.7694048294797539710999,3.9386960770934820175171,6.8885837262496352195740,\ +9.7023218311369419097900,8.51576429326087236404,3.3933044690638780593872,\ +8.7725317804142832756042,1.1314024776220321655273,5.2641283208504319190979,\ +5.297394050285220146179,9.2917560925707221031189,9.7654302977025508880615,\ +6.2254639761522412300110,9.822583282366394996643,7.5429888023063540458679,\ +5.4547880962491035461426,7.2860160330310463905334,0.2525969501584768295288,\ +4.0251684701070189476013,0.9831319935619831085205,2.6086253346875309944153,\ +3.6363423336297273635864,1.7466178117319941520691,9.2341394722461700439453,\ +7.6051409030333161354065,5.6402041297405958175659,3.7970651825889945030212,\ +8.7762261740863323211670,8.21742579806596040726,6.787058124318718910217,\ +0.8220098121091723442078,2.5527314469218254089355,7.4444567272439599037170,\ +2.2695036139339208602905,6.836930788122117519379,9.3650726415216922760010,\ +5.0530174048617482185364,2.5248145777732133865356,6.8188397912308573722839,\ +2.8363681584596633911133,1.409485661424696445465,6.7591095995157957077026,\ +4.5126775791868567466736,7.5430292449891567230225,1.3702143030241131782532,\ +6.6082405392080545425415,3.8900542212650179862976,7.001820541918277740479,\ +9.168005720712244510651,2.1228999551385641098022,2.6978330826386809349060,\ +3.1998893804848194122314,0.2321802498772740364075,7.26544727571308612823,\ +1.5340585587546229362488,2.3552638292312622070312,0.8797382796183228492737,\ +7.1059537213295698165894,6.8887275597080588340759,6.5953194908797740936279,\ +1.8151161121204495429993,3.9049659762531518936157,1.5869047446176409721375,\ +6.2407150492072105407715,6.3760355720296502113342,4.2704886104911565780640,\ +1.0716815060004591941833,2.3822965659201145172119,9.4629473658278584480286,\ +4.5766852516680955886841,8.9644787041470408439636,4.4384705275297164916992,\ +8.08956819120794534683,6.8317985069006681442261,0.3401931514963507652283,\ +2.3805456422269344329834,9.4920115964487195014954,2.1827886346727609634399,\ +6.1546878470107913017273,8.3135433867573738098145,7.7340125897899270057678,\ +4.2441909667104482650757,7.262125960551202297211,7.0999773032963275909424,\ +4.7457459988072514533997,9.4386920798569917678833,1.4596485672518610954285,\ +0.7141010463237762451172,6.7337385797873139381409,6.536924717947840690613,\ +1.996896131895482540131,6.01412517949938774109,1.8993748771026730537415,\ +2.5839814636856317520142,0.9878737432882189750671,0.6199027225375175476074,\ +0.4034968325868248939514,7.4001471605151891708374,6.1626600986346602439880,\ +6.5835834480822086334229,2.5145971449092030525208,3.8433500844985246658325,\ +4.3964602379128336906433,6.5407369285821914672852,5.878106378950178623200,\ +6.0208318661898374557495,0.4535020282492041587830,2.0294443331658840179443,\ +7.844273825176060199738,2.6375361625105142593384} + + +#define ZSOURCE2I {4.3832763982936739921570,8.6648589745163917541504,3.7921421090140938758850,\ +7.6687160786241292953491,6.0066213225945830345154,7.85673560574650764465,\ +7.3871155502274632453918,5.5442603398114442825317,9.9291495559737086296082,\ +9.757428467273712158203,3.709622272290289402008,3.0322382133454084396362,\ +9.5195201179012656211853,7.1278580836951732635498,1.192370061762630939484,\ +5.0091631803661584854126,3.2900535268709063529968,4.8089468106627464294434,\ +3.3036959776654839515686,6.3044753577560186386108,2.1171907847747206687927,\ +4.4860231317579746246338,5.9145097108557820320129,6.8067426700145006179810,\ +0.7392961112782359123230,9.4336947053670883178711,1.2863306934013962745667,\ +2.0190807711333036422729,1.9693034281954169273376,8.9286901615560054779053,\ +4.6179189579561352729797,6.2512917164713144302368,7.0597065938636660575867,\ +7.0181696489453315734863,4.0879997471347451210022,0.6362213846296072006226,\ +0.6573933875188231468201,5.3310041315853595733643,0.3315818728879094123840,\ +3.157835649326443672180,3.785823243670165538788,4.6195234358310699462891,\ +6.2873698258772492408752,2.8785153012722730636597,3.2920487364754080772400,\ +4.7192330472171306610107,3.3537696348503232002258,5.5530697200447320938110,\ +1.196080814115703105927,7.6139996573328971862793,4.7909884760156273841858,\ +2.8169692959636449813843,2.380097783170640468597,3.2942054606974124908447,\ +2.3067280324175953865051,2.1362966019660234451294,4.0549980429932475090027,\ +3.0953712016344070434570,6.762971603311598300934,9.7069163154810667037964,\ +5.4417965700849890708923,0.2047479711472988128662,8.9413649635389447212219,\ +3.4903638903051614761353,1.1053651524707674980164,2.0233777537941932678223,\ +1.3046909729018807411194,8.573952978476881980896,6.3780163740739226341248,\ +4.0711227245628833770752,6.6919379355385899543762,2.042601602151989936829,\ +8.3104313490912318229675,0.1221632957458496093750,4.8844617092981934547424,\ +9.549877075478434562683,0.5874312063679099082947,8.2584649138152599334717,\ +2.9807415651157498359680,0.7757596764713525772095,5.8460923237726092338562,\ +7.528713606297969818115,0.5172297963872551918030,5.9586250688880681991577,\ +3.8337053125724196434021,4.9002202786505222320557,5.2727950783446431159973,\ +0.6889454741030931472778,8.843077751807868480682,7.1912937611341476440430,\ +0.6942595774307847023010,1.1522095929831266403198,4.862680672667920589447,\ +7.6715826056897640228271,0.8805298106744885444641,7.0085612777620553970337,\ +1.879138792864978313446,2.0178856328129768371582,4.0628212550655007362366,\ +4.0966569539159536361694,1.769564501009881496429,3.31293122842907905579,\ +0.5184767069295048713684,4.1492417920380830764771,7.2212355909869074821472,\ +0.7746253907680511474609,5.8558783913031220436096,3.7079446297138929367065,\ +2.1161167463287711143494,1.903268527239561080933,5.607953821308910846710,\ +9.4247916433960199356079,6.8177247745916247367859,2.7342410013079643249512,\ +2.0717754075303673744202,1.9379387702792882919312,6.797837591730058193207,\ +5.88365742936730384827,9.331753817386925220490,5.509122880175709724426,\ +8.0405469564720988273621,1.074489727616310119629,7.4039250845089554786682,\ +5.6103316973894834518433,7.6611549546942114830017,7.8306589089334011077881,\ +1.4388314681127667427063,1.6471924725919961929321,3.1774142337962985038757,\ +5.0265956297516822814941,6.9204960623756051064,7.0065794046968221664429,\ +8.8706119870766997337341,6.9797694869339466094971,6.7989911558106541633606,\ +3.6159398127347230911255,2.6739976881071925163269,0.7736870646476745605469,\ +1.494100340642035007477,3.2018390577286481857300,2.0260545751079916954041,\ +4.4988587312400341033936,7.7075743721798062324524,2.4352242145687341690063,\ +2.1261148853227496147156,1.0992341861128807067871,6.9814807781949639320374,\ +4.1509064938873052597046,5.0298188393935561180115,7.51160675659775733948,\ +9.9401472182944416999817,1.82876241393387317657,3.021917375735938549042,\ +3.7854864448308944702148,7.1531985932961106300354,9.5241537224501371383667,\ +4.7039186349138617515564,1.8709417246282100677490,2.55718790460377931595,\ +4.4350660685449838638306,7.2340781940147280693054,8.7619100883603096008301,\ +0.3733208635821938514710,4.2934664245694875717163,3.1572330510243773460388,\ +3.682477343827486038208,1.4587742509320378303528,6.7683792579919099807739,\ +5.2619793592020869255066,4.003625661134719848633,0.0291080260649323463440,\ +3.0681814532727003097534,7.9026939114555716514587,9.5779503695666790008545,\ +6.6892711864784359931946,2.9296159837394952774048,8.2238993747159838676453,\ +0.1798455044627189636231,8.7107013771310448646545,3.1810243334621191024780,\ +5.7244732743129134178162,5.7386581040918827056885,3.4920182498171925544739,\ +7.06729766912758350372,3.5992007283493876457214,4.0523112565279006958008,\ +6.1408105725422501564026,6.5240467619150876998901,0.2951709320768713951111,\ +5.6688958965241909027100,7.1140170888975262641907,4.5884906593710184097290,\ +4.7205173922702670097351,0.6237313523888587951660,0.8544011274352669715881,\ +0.1345641072839498519898,3.5430019116029143333435,6.7193946428596973419189,\ +1.3606189610436558723450,2.1197437215596437454224} + + +#define ZRESULT2R {1.7718546901199148102535,2.2873385372432406548171,1.6228701567171754938101,\ +2.2346263074245684698838,1.8473969837167181218263,2.0814403666906242662549,\ +2.000040135761198101250,1.930738025076279118508,2.2955316341715112926636,\ +2.2979125914561788768253,1.52676863913911398107,1.5225454413433419098567,\ +2.2756589535249842626285,2.0461560089912054216654,1.10158579014350732628,\ +1.7596676151017560663092,1.886619744318301705732,1.6609534913253483079387,\ +2.0341867590624715944614,2.1522631887405574424577,1.5490800609419352884544,\ +1.8243154431583954444562,1.9046961835587756795007,2.1880745312667504443027,\ +1.462943224821960486182,2.6082576924848916988253,1.0397086540972344526068,\ +1.5754847768676314423431,0.746979645400304148595,2.2287521705924668857790,\ +1.5403790183895167409389,2.29053332003721576982,1.9561479629741382879615,\ +2.056062919004959077540,1.5124829204355532130677,0.7957872878063905197621,\ +1.1657936572577645151227,2.247663310479210085902,-0.4549625893688244437918,\ +2.273939094117130466088,1.7851157264602297569667,1.705510493291471751931,\ +1.838553591041654167171,2.2452631537104275061267,2.1984262619387999748710,\ +1.858482175867823826820,2.1354614286115483068329,1.7449625890299069741474,\ +0.5066316450005309279803,2.2309587833094872699746,1.8633839241242127204856,\ +1.9110608576794807511590,2.2575857867741544460216,1.23571911173189863398,\ +1.581562045830424700910,2.2691047577207688057399,1.4031989962500943658341,\ +2.2741179432518765501925,2.4527182982567738989133,2.5833963585371355620168,\ +2.2776279862384747332271,-1.1249835300913728630690,2.1906906716320380112961,\ +1.8180097251363194210683,1.440608273684235829393,2.157337396250079031290,\ +1.6456014738468727198750,2.5276363856092047832647,2.0501201476301127435420,\ +1.9792596577711849548109,2.325636279713856779949,2.1018269082301319627959,\ +2.2993946557097193483798,1.407779382548410174181,2.1650335217497893580685,\ +2.3678319878208848869861,1.8594164774388513006187,2.56043452139564964298,\ +1.2152594801616827258073,1.6876273083151080989239,1.8280452566376663714465,\ +2.2383606348726785562064,1.4669353168458199032642,1.7855716392006990567154,\ +1.9344712649878033072781,2.1595582205209731263551,2.3711393709457433409682,\ +0.3451198452895575252697,2.2295598849908442318224,1.9730216569827605521681,\ +1.7597572254564382010500,1.4119056335367026200345,2.1320313551579719302254,\ +2.5151804905590435801344,2.1472364706413502588589,2.052431577045615185284,\ +2.1940570121896025845842,0.8387289948467516742525,1.8945610375322186058611,\ +1.901605848224737327357,2.2469410116186243620007,2.3333167208432867845147,\ +1.8321040495156570848678,2.3667788410376999763685,2.345870799293293007537,\ +1.7064766326923879180555,2.2351179984798275057756,1.3127927306468758494873,\ +1.5145818637157286712380,0.7618288453812751548355,1.8221250086585414340590,\ +2.3127298919002594601579,1.9513099157402993277799,2.2649290827240116108499,\ +2.0646178740610454660498,1.7857162805439725783430,2.0523808897592226152540,\ +2.357637781206334715023,2.5204455223537904906550,2.1680868421848340510394,\ +2.08969579055791898625,1.0187212773133276222381,2.351321025745570558740,\ +1.8003855797977157404688,2.3290564194645368978343,2.5020530275623595883872,\ +1.6589662323678027178175,1.1034736729371952268508,2.0179385634489594991692,\ +1.7529535621370035958222,1.9548092141654069830992,2.2757671672542376661852,\ +2.2978225629400212959297,2.329897705001075625120,1.9366802551403343723990,\ +2.0192737614105338295190,1.5519072144028889237433,1.9522381258437428996899,\ +2.228825942499146339770,1.3459088341323246496017,1.2160693133443531976923,\ +1.708519320712721833999,2.042657041378174831436,2.0363649964518035773153,\ +0.9638512795498686003270,0.9551846741593900125267,1.951137961258366582129,\ +2.107724763084950492242,2.1435395035941335883933,2.30219731892690226971,\ +2.3129821080069814520641,1.4613961122338947618005,1.2276638750511146280786,\ +1.98774702803650615834,2.2599263943254159769936,2.3454288218721179859472,\ +1.5736974684351636710744,1.1082826047896976451312,2.2826248447267389884985,\ +1.852079302129498561413,2.4440219801181322090144,2.2846216839061130876587,\ +2.0916390604994830049179,2.0880185293365247645170,1.1554676622252344486697,\ +1.4781743340729813773748,2.2621227047071905680298,1.9617338719614783038026,\ +2.0915485321054503309313,2.222172100020261886755,2.0456349034700243016971,\ +1.6557620395745074048932,2.3732960033711649749932,2.4784302018604411621538,\ +2.1043456955600268187823,2.2908052004546388680239,2.1225525715426596384816,\ +-0.3059820602804464440006,2.398801697565509982724,1.9837316998415748248163,\ +1.8021669050328577021958,2.1177911026101683411582,1.3800624471185749531088,\ +2.0182134290564768264176,1.3170274339145702224840,1.4108532825842892144408,\ +1.817110834423457665920,2.2890298175330245911141,1.8196542505912531861867,\ +2.1619335403208914669904,2.0209326327770549269758,1.7893311710629888899859,\ +1.8641960608110765829082,1.882576152038281991352,1.7816883851861540222217,\ +1.7954751269073565556056,1.2730999018963571334240,1.9486466131391497746961,\ +2.074605067637334876451,1.2189909546635331327735} + + +#define ZRESULT2I {0.8408843669071919268987,1.0754371807248737091811,0.8455094310786673839075,\ +0.962808271271232585242,1.2435335418309885202603,1.371120256581034091425,\ +1.5461888319559713433904,0.9342369007616236897817,1.56013775123029430070,\ +1.3720388608498168547811,0.9371355532144381994542,0.7228179279461685036168,\ +1.360325287393417292847,1.1709945644102059958414,0.4074578726347549695319,\ +1.0393742565506918218432,0.5221182542768327827787,1.1517977305599864656926,\ +0.4467977216337457035955,0.8222975857540034683169,0.4665224019878621564139,\ +0.8091797065019556978172,1.0768746352304479074746,0.8683388375483406251831,\ +0.1720341159830799382391,0.7682977019562435838651,0.4721387487057847609506,\ +0.4309811115589534114001,1.20279143843462255070,1.2916347740244560338141,\ +1.4265839008392693365579,0.6850460436644268957807,1.5117462274209296779759,\ +1.1152532149987959275705,1.1217014706271768442747,0.2911766403909815670303,\ +0.2063546073155473614680,0.5982511040925977408023,0.5499105526382754849379,\ +0.3309697617869979402450,0.6882370204600587459964,0.9959451809388051302108,\ +1.5661574844082004620560,0.3097639368523368297304,0.3740022155825183380884,\ +0.8268049495959598482742,0.407572856709710940049,1.3246230944084764757918,\ +0.8047604843662868878695,0.9578156211088914018248,0.8379992820836518196970,\ +0.4298072736875270249968,0.2516111351341220880862,1.2777930133692467773443,\ +0.4942674920588698839197,0.2227403824735175175142,1.4902323819071812138759,\ +0.3241206854947055737704,0.6212066791677098853697,0.8227777158663325263177,\ +0.5918914368525474145599,0.6824004867135488039409,1.5685992315253338702519,\ +0.602441091725517741118,0.2648167750385964080984,0.2361574036342227733698,\ +0.2544057494452062195833,0.7540670573431564882583,0.9631160038064509043565,\ +0.5974222702744066415548,0.7127866343417466055143,0.2523427003112133637508,\ +0.9857721947818851582213,0.0298961055939373325507,0.5949566736712420533806,\ +1.1076852186579833059454,0.0916284996635063769821,0.6920814866116709040966,\ +1.0847494758718594365376,0.1439797822740493671301,1.2215400197911927548944,\ +0.9319943094964961982640,0.1195740768674621451462,1.5325419323859537090726,\ +0.5871287736405550461427,0.6008795873685909283424,0.5147800680430554276512,\ +0.5096442477271476700906,1.2574287319730830247977,1.55344381002968989769,\ +0.1197588579388608048815,0.2845949117488152935174,0.6146775806026560928785,\ +0.6690416852557365956,0.1030338183393550155476,1.1198962694059428901738,\ +0.2110181909408466172096,1.0597850788835401214527,0.6573038229366630069706,\ +0.6582686240328038396186,0.1881909924839933190288,0.3270668956957688000564,\ +0.0830914673081940696742,0.3996821407672082604456,0.763608851537480148863,\ +0.1410651270101331844487,0.677001919140020169685,1.5027782434779339837405,\ +0.4840122714003086690227,1.0939971143713191903402,1.1354027775868176242113,\ +1.2025671422981056846169,1.3200023979900399329068,0.2878762084297626921980,\ +0.2659639364881328793544,0.3309563133803885004447,1.0613976119428301103653,\ +0.5905886949329369750572,0.84881047253311037171,0.6818405058224251691357,\ +1.4689172047242584628890,0.3984077871527766379067,0.7826684691736193189016,\ +1.1863976071520063726439,0.8421875864316380466690,0.6964016273061860440308,\ +0.2774051332309265816001,0.5780614975169666713839,0.4360596809152573194446,\ +1.0570616474517706695480,1.3698760574306645398934,0.8033735187122362786383,\ +1.100195299896877587642,0.7466330742895204153342,1.3719281224888897341430,\ +0.5006805450256617273652,0.6022149721715611692119,0.1100515320096066840261,\ +0.1615487638997855912582,0.9853189831543425203364,0.6441365190650450989196,\ +0.9525486295501676137221,1.540681786544560338825,0.3234105928346787672822,\ +0.9457654725170446807780,0.4366658824494836776964,1.4454467286135332937391,\ +0.5286797419321711544171,0.6306769685466229180548,0.8502600566998695930110,\ +1.3901817278534140953639,0.4379816003966337523146,1.0872460520812594619855,\ +0.5452429334871597976786,0.8427783441184910628863,1.1492861648773524674283,\ +1.346792368827264718689,0.665745289338786183642,0.2639277343938546960267,\ +0.7696845111061191291313,0.6789773815510785626159,1.1019111077295657974418,\ +0.0461157104075398602272,0.5610787453255564605215,1.4634600366382779501606,\ +0.9969191986962234741654,0.1524913254966685227654,1.2588290814744897971877,\ +0.7073635046287626293449,0.4488022872724745648831,0.0037636205385015429094,\ +0.6259389684526723840463,0.8276134607557569244918,0.9328971084913546540918,\ +0.9537519653655091023126,0.3009556732582234217510,1.3951370123387065724785,\ +0.2467179687642131191705,0.9127106501576134345299,0.4528896475979662383793,\ +1.2351598243895067774645,0.7619639996129009551495,1.0726338584530288322583,\ +1.220269965181696392165,1.3029226301867964377124,1.4189980227900089726489,\ +1.5051832236136615250643,0.7225617055791342391302,0.0478600995604049964105,\ +0.710883123025403795836,1.2310328539390928970221,0.8735414139313334436210,\ +0.8209275679220129351421,0.0950735258592600440686,0.1443422571457730618771,\ +0.0223460331642115414552,1.443489200421151252840,1.2774801572114198311425,\ +0.1717450012966928174496,0.6769828145758884918593} + + + + + /* in is between 0 and 1 + in2 between 0 and 10 */ + + + +void dlog1psTest(void) { + double in[]=SOURCE; + double res[]=RESULT; + double out; + double in2[]=SOURCE2; + double res2[]=RESULT2; + int i; + + for (i=0;i<200;i++) { + in[i]=in[i]-1; + in2[i]=in2[i]-1; + } + + for (i=0;i<200;i++){ + out=dlog1ps(in[i]); + assert(( (fabs(out-res[i]))/(fabs(out)) )<3e-16); + } + + + for (i=0;i<200;i++){ + out=dlog1ps(in2[i]); + assert(( (fabs(out-res2[i]))/(fabs(out)) )<3e-16); + } + +} + + +void zlog1psTest(void) { + double inR[]=ZSOURCER; + double inI[]=ZSOURCEI; + double resR[]=ZRESULTR; + double resI[]=ZRESULTI; + double in2R[]=ZSOURCE2R; + double in2I[]=ZSOURCE2I; + double res2R[]=ZRESULT2R; + double res2I[]=ZRESULT2I; + doubleComplex in,in2,out; + int i; + + for (i=0;i<200;i++){ + in=DoubleComplex(inR[i]-1,inI[i]); + out=zlog1ps(in); + assert(( (fabs(zreals(out)-resR[i]))/(fabs(zreals(out))) )<3e-15); + assert(( (fabs(zimags(out)-resI[i]))/(fabs(zimags(out))) )<3e-15); + } + + for (i=0;i<200;i++){ + in2=DoubleComplex(in2R[i]-1,in2I[i]); + out=zlog1ps(in2); + assert(( (fabs(zreals(out)-res2R[i]))/(fabs(zreals(out))) )<3e-16); + assert(( (fabs(zimags(out)-res2I[i]))/(fabs(zimags(out))) )<1e-16); + } + +} + +void dlog1paTest(void) { + double in[]=SOURCE; + double res[]=RESULT; + double out[200]; + double in2[]=SOURCE2; + double res2[]=RESULT2; + int i; + + for (i=0;i<200;i++) { + in[i]=in[i]-1; + in2[i]=in2[i]-1; + } + + dlog1pa(in,200,out); + for (i=0;i<200;i++){ + assert(( (fabs(out[i]-res[i]))/(fabs(out[i])) )<3e-16); + } + + dlog1pa(in2,200,out); + for (i=0;i<200;i++){ + assert(( (fabs(out[i]-res2[i]))/(fabs(out[i])) )<3e-16); + } +} + +void zlog1paTest(void) { + double inR[]=ZSOURCER; + double inI[]=ZSOURCEI; + double resR[]=ZRESULTR; + double resI[]=ZRESULTI; + double in2R[]=ZSOURCE2R; + double in2I[]=ZSOURCE2I; + double res2R[]=ZRESULT2R; + double res2I[]=ZRESULT2I; + doubleComplex *in,*in2,out[200]; + int i; + + + for (i=0;i<200;i++) { + inR[i]=inR[i]-1; + in2R[i]=in2R[i]-1; + } + + in=DoubleComplexMatrix(inR,inI,200); + zlog1pa(in,200,out); + + for (i=0;i<200;i++){ + assert(( (fabs(zreals(out[i])-resR[i]))/(fabs(zreals(out[i]))) )<3e-15); + assert(( (fabs(zimags(out[i])-resI[i]))/(fabs(zimags(out[i]))) )<3e-15); + } + + in2=DoubleComplexMatrix(in2R,in2I,200); + zlog1pa(in2,200,out); + + for (i=0;i<200;i++){ + assert(( (fabs(zreals(out[i])-res2R[i]))/(fabs(zreals(out[i]))) )<3e-16); + assert(( (fabs(zimags(out[i])-res2I[i]))/(fabs(zimags(out[i]))) )<1e-16); + } + +} + + + + + +int testLog1p(void) { + printf("\n>>>> Double Logarithm x + 1 Tests\n"); + dlog1psTest(); + zlog1psTest(); + dlog1paTest(); + zlog1paTest(); + + return 0; +} + +int main(void) { + assert(testLog1p() == 0); + return 0; +} diff --git a/2.3-1/src/c/elementaryFunctions/log1p/testFloatLog1p.c b/2.3-1/src/c/elementaryFunctions/log1p/testFloatLog1p.c new file mode 100644 index 00000000..5704838c --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/log1p/testFloatLog1p.c @@ -0,0 +1,966 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Arnaud TORSET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "testLog1p.h" +#include "math.h" + +#define SOURCE {0.3628176329657435417175f,0.924179898109287023544f,0.5243524145334959030151f,\ +0.7886543427594006061554f,0.6525151440873742103577f,0.2477638195268809795380f,\ +0.2364655844867229461670f,0.7240293831564486026764f,0.8278210600838065147400f,\ +0.4287728047929704189301f,0.4858888480812311172485f,0.5923984018154442310333f,\ +0.0949383648112416267395f,0.1356843891553580760956f,0.9917455688118934631348f,\ +0.7212927364744246006012f,0.0115638775750994682312f,0.0211908905766904354095f,\ +0.1524727698415517807007f,0.9165380974300205707550f,0.4467271203175187110901f,\ +0.5868234331719577312469f,0.1882771886885166168213f,0.4196520284749567508698f,\ +0.2730510598048567771912f,0.7565603456459939479828f,0.9378882069140672683716f,\ +0.0586007428355515003204f,0.5101847248151898384094f,0.5031699347309768199921f,\ +0.7783576548099517822266f,0.6856653341092169284821f,0.1381576983258128166199f,\ +0.371037633623927831650f,0.6366564910858869552612f,0.4961673622019588947296f,\ +0.2994064847007393836975f,0.2392275254242122173309f,0.5618183575570583343506f,\ +0.3218038142658770084381f,0.1082227518782019615173f,0.1685282415710389614105f,\ +0.8263800088316202163696f,0.4923414406366646289825f,0.7863734485581517219543f,\ +0.6762332352809607982635f,0.0258686169981956481934f,0.3594204657711088657379f,\ +0.3436427963897585868835f,0.2824054299853742122650f,0.1450859513133764266968f,\ +0.0762176741845905780792f,0.5220461571589112281799f,0.6713762427680194377899f,\ +0.0599394328892230987549f,0.7267188713885843753815f,0.2224657749757170677185f,\ +0.3122289828024804592133f,0.4435700643807649612427f,0.3983507198281586170197f,\ +0.1324583934620022773743f,0.8820166247896850109100f,0.5455272346735000610352f,\ +0.2917219498194754123688f,0.7739847479388117790222f,0.3354639573954045772552f,\ +0.8127403985708951950073f,0.4612239454872906208038f,0.6898109326139092445374f,\ +0.9649041066877543926239f,0.8210376314818859100342f,0.2802407057024538516998f,\ +0.9873316427692770957947f,0.294199434574693441391f,0.4859610591083765029907f,\ +0.2247181800194084644318f,0.9585652919486165046692f,0.1503968122415244579315f,\ +0.0216291621327400207520f,0.0688429796136915683746f,0.9950710041448473930359f,\ +0.7568672685883939266205f,0.6163959559053182601929f,0.0865804632194340229034f,\ +0.5165374809876084327698f,0.1916800136677920818329f,0.2940570451319217681885f,\ +0.3528221980668604373932f,0.1317937439307570457458f,0.0549608371220529079437f,\ +0.929352553561329841614f,0.737892795819789171219f,0.7509917514398694038391f,\ +0.6889848816208541393280f,0.8865169286727905273438f,0.6891661235131323337555f,\ +0.8677108911797404289246f,0.7947537912987172603607f,0.2496256213635206222534f,\ +0.3935408894903957843781f,0.7297343472018837928772f,0.7888072351925075054169f,\ +0.113488640636205673218f,0.4145256043411791324615f,0.6172473421320319175720f,\ +0.7440188056789338588715f,0.9038409832864999771118f,0.3976829168386757373810f,\ +0.9472072543576359748840f,0.2581262919120490550995f,0.1955799385905265808105f,\ +0.9381833248771727085114f,0.4226356102153658866882f,0.0937463282607495784760f,\ +0.9977992679923772811890f,0.2042182614095509052277f,0.9455819511786103248596f,\ +0.9336234177462756633759f,0.9743702597916126251221f,0.4100225553847849369049f,\ +0.5125095760449767112732f,0.0948633304797112941742f,0.5688196588307619094849f,\ +0.7322562676854431629181f,0.8108531581237912178040f,0.5459008770994842052460f,\ +0.5022544711828231811523f,0.7634959020651876926422f,0.7354982374235987663269f,\ +0.0699520572088658809662f,0.6130836438387632369995f,0.0965849910862743854523f,\ +0.5439325878396630287170f,0.9187005828134715557098f,0.5072866193950176239014f,\ +0.1335940570570528507233f,0.8688194593414664268494f,0.7999687767587602138519f,\ +0.9879787657409906387329f,0.7131399479694664478302f,0.3067426951602101325989f,\ +0.5431228461675345897675f,0.7330236807465553283691f,0.6498145484365522861481f,\ +0.8018737239763140678406f,0.2859625308774411678314f,0.1894423719495534896851f,\ +0.7794728656299412250519f,0.5433104271069169044495f,0.5268451268784701824188f,\ +0.1533693112432956695557f,0.6041304902173578739166f,0.5948378806933760643005f,\ +0.8857938847504556179047f,0.0043053645640611648560f,0.1302204323001205921173f,\ +0.9758609728887677192688f,0.9183407831005752086639f,0.0624175965785980224609f,\ +0.9939593323506414890289f,0.4122588960453867912292f,0.8258536770008504390717f,\ +0.0376359503716230392456f,0.4675730471499264240265f,0.4759115139022469520569f,\ +0.4060978214256465435028f,0.0392968021333217620850f,0.4401316107250750064850f,\ +0.3316476037725806236267f,0.0877817696891725063324f,0.1150833908468484878540f,\ +0.9667435702867805957794f,0.8103649737313389778137f,0.3928376468829810619354f,\ +0.7880131229758262634277f,0.4798596971668303012848f,0.0270724548026919364929f,\ +0.6701857983134686946869f,0.5602217521518468856812f,0.2564360727556049823761f,\ +0.2626037681475281715393f,0.4447338129393756389618f,0.8522944338619709014893f,\ +0.2347065494395792484283f,0.3277532672509551048279f,0.2253599218092858791351f,\ +0.3468936551362276077271f,0.7743145865388214588165f,0.1285835551097989082336f,\ +0.1156307714991271495819f,0.2054340392351150512695f,0.4535544612444937229156f,\ +0.6516549764201045036316f,0.0710035725496709346771f,0.1265540253371000289917f,\ +0.4974718545563519001007f,0.0879269847646355628967f,0.1462626229040324687958f,\ +0.715134423226118087769f,0.9305738122202455997467f} + +#define RESULT {-1.0138549594808059506335f,-0.0788485313675790222554f,-0.6455912738997077182646f,\ +-0.2374271494900490608870f,-0.4269209307253117313685f,-1.3952793271990111545477f,\ +-1.4419526017799386696794f,-0.3229233029497151630238f,-0.1889582589621221220266f,\ +-0.8468280928949678543205f,-0.7217753888910144466351f,-0.5235758944053595653756f,\ +-2.354527389398466841186f,-1.9974237581445692946147f,-0.0082886876471943305572f,\ +-0.3267102095711482134810f,-4.459869041610169837497f,-3.8541838794260296907623f,\ +-1.8807692572941765440930f,-0.0871516441756800402940f,-0.8058073398690168698266f,\ +-0.5330312996797691438289f,-1.6698399941066854879068f,-0.8683294147345963498452f,\ +-1.2980964690333058886296f,-0.2789729794097077220094f,-0.0641245194730828693697f,\ +-2.8370079061049158219987f,-0.6729824133243695882811f,-0.6868273235307851276588f,\ +-0.2505691498856313370602f,-0.3773656214470872405364f,-1.9793595047655996310709f,\ +-0.9914517831797942104544f,-0.4515250293249062352174f,-0.7008419853775434971155f,\ +-1.205953148244055972427f,-1.4303401906823356437570f,-0.5765766885249945516989f,\ +-1.1338131915858427056776f,-2.2235636585360341044293f,-1.7806519374711546888079f,\ +-0.1907005521377241608061f,-0.7085828181522180191365f,-0.240323473997209546837f,\ +-0.3912172398408133022762f,-3.6547247438886865111840f,-1.0232623619826317629133f,\ +-1.0681525436893481995071f,-1.264411545554370741584f,-1.93042894450046809141f,\ +-2.5741618985048786427683f,-0.6499992713325659643431f,-0.3984255796794416437656f,\ +-2.8144206784459675496635f,-0.3192155730871417684824f,-1.502982009541258934249f,\ +-1.1640184411209602011184f,-0.8128995091446955534309f,-0.9204224561330225373723f,\ +-2.0214866944753584476757f,-0.1255443741850884864508f,-0.6060025488810325544620f,\ +-1.231954157015291428934f,-0.2562031110919770759971f,-1.092240757863258915350f,\ +-0.2073435333764902521736f,-0.7738715719712579987899f,-0.3713377296431035756719f,\ +-0.0357265538888332026546f,-0.1971863344268207918208f,-1.2721063818886333418590f,\ +-0.0127492850765575892191f,-1.223497392724554932997f,-0.7216267835832522736794f,\ +-1.4929081951001816896962f,-0.0423175999341945593968f,-1.8944780628936490618486f,\ +-3.8337127761178795282149f,-2.6759270254015836698613f,-0.0049411834200203501311f,\ +-0.2785673796390666367984f,-0.483865736386189515539f,-2.446681086792801718133f,\ +-0.6606074257995434573232f,-1.651927892749795789840f,-1.2239814994040887352611f,\ +-1.0417910371382139711471f,-2.026517124423018234580f,-2.9011343997056400212387f,\ +-0.0732671142462539837226f,-0.3039567280501898061118f,-0.2863606107139139989037f,\ +-0.3725359507043504159185f,-0.1204550575726043570857f,-0.3722729288835950889336f,\ +-0.1418966944811957953121f,-0.2297229087732643171282f,-1.3877929980613914473508f,\ +-0.9325703042223095762253f,-0.3150747190128889152483f,-0.2372333033314831252092f,\ +-2.1760525295696577785520f,-0.8806205346832632896437f,-0.4824854567490562962107f,\ +-0.2956889680183093505050f,-0.1011018375069230867958f,-0.9221002825850308504130f,\ +-0.0542373561426655603768f,-1.3543063102932182406590f,-1.6317860900845253535607f,\ +-0.0638099067725128449302f,-0.8612449127611128130155f,-2.3671627801172654415041f,\ +-0.0022031571770593774348f,-1.5885659482121525787335f,-0.0559547196755256631695f,\ +-0.0686821150485829451382f,-0.0259639040526286474231f,-0.8915431076633286711086f,\ +-0.6684358831783273613425f,-2.3553180497276513527538f,-0.5641918391516044239964f,\ +-0.3116247338224413798713f,-0.2096683039932461523058f,-0.6053178634921361211951f,\ +-0.6886483730214458809371f,-0.2698475216395072595610f,-0.3072071353764207479742f,\ +-2.659945168598087494871f,-0.4892539023727084379622f,-2.3373319216128076725170f,\ +-0.6089299592172232600262f,-0.0847950173155939540548f,-0.6786791108759814283857f,\ +-2.0129495019748864237386f,-0.1406199321004115432299f,-0.2231825811274127380202f,\ +-0.0120940736302183569906f,-0.3380775973662459854552f,-1.181746009333312530387f,\ +-0.6104197485997391314783f,-0.3105772710053884000381f,-0.4310682668987352861301f,\ +-0.2208041349135003439397f,-1.25189448766300226445f,-1.6636704065163092636226f,\ +-0.2491374010581904052675f,-0.6100744334370675758805f,-0.6408486505219985751580f,\ +-1.8749064671471911136535f,-0.5039650609751163967687f,-0.5194663799859419173188f,\ +-0.1212709911627764675091f,-5.4478934608177302933996f,-2.038526631411456513376f,\ +-0.0244351485261014196582f,-0.0851867338269072515988f,-2.7739080469083896574034f,\ +-0.0060589862906551463645f,-0.8861037385262900967220f,-0.1913376676415258770270f,\ +-3.2797955584796012473703f,-0.7601996918711692030612f,-0.7425233371947113081291f,\ +-0.9011612089296217043000f,-3.2366121340710831688625f,-0.8206814815116268979622f,\ +-1.1036823082060371881141f,-2.4329014344197728014763f,-2.1620982756055884266289f,\ +-0.0338219993709664781822f,-0.2102705479450195091840f,-0.9343588647242980771424f,\ +-0.2382405357403041268327f,-0.7342615153765646995865f,-3.609238495954611991579f,\ +-0.4002002941250653034189f,-0.5794225876492602456125f,-1.36087587445700952671f,\ +-1.337108967835097139698f,-0.8102793489627861944768f,-0.1598232322015146200656f,\ +-1.449419270934711789778f,-1.1154941876589379301521f,-1.4900565023732303959747f,\ +-1.05873701535465292167f,-0.2557770454111949476328f,-2.0511763516400991491651f,\ +-2.1573531687271665369110f,-1.5826302735280548539265f,-0.7906399256902217898002f,\ +-0.4282400343889684046772f,-2.6450250856057104797969f,-2.0670859842226763092299f,\ +-0.6982162977399214431884f,-2.4312485274946018520836f,-1.9223514861397812403254f,\ +-0.3352847494467096622905f,-0.0719538807151878373469f} + + +#define SOURCE2 {2.6395560009405016899109f,4.1481037065386772155762f,2.8064980218186974525452f,\ +1.2800584640353918075562f,7.7831285959109663963318f,2.1190304495394229888916f,\ +1.121354666538536548615f,6.8568959552794694900513f,1.5312166837975382804871f,\ +6.970850601792335510254f,8.4155184263363480567932f,4.0620247554033994674683f,\ +4.09482547547668218613f,8.7841258011758327484131f,1.1383596854284405708313f,\ +1.9983377400785684585571f,5.6186607433483004570007f,5.8961773291230201721f,\ +6.8539796629920601844788f,8.9062247332185506820679f,5.0422128057107329368591f,\ +3.493615407496690750122f,3.8737787725403904914856f,9.2228986788541078567505f,\ +9.4881842611357569694519f,3.4353372454643249511719f,3.7601187312975525856018f,\ +7.3409405630081892013550f,2.6157614728435873985291f,4.99349383637309074402f,\ +2.6385784195736050605774f,5.25356308557093143463f,5.3762298030778765678406f,\ +1.1999255046248435974121f,2.2563034901395440101624f,6.2740930821746587753296f,\ +7.6084325974807143211365f,0.4855662025511264801025f,6.7239497276023030281067f,\ +2.017172696068882942200f,3.911573919467628002167f,8.3003165572881698608398f,\ +5.8787201577797532081604f,4.8291792999953031539917f,2.2328650346025824546814f,\ +8.4008856676518917083740f,1.2059959070757031440735f,2.8553641680628061294556f,\ +8.6075146449729800224304f,8.494101651012897491455f,5.2570608118548989295959f,\ +9.9312098976224660873413f,6.4885628735646605491638f,9.923190940171480178833f,\ +0.5004197778180241584778f,7.4855065811425447463989f,4.1040589986369013786316f,\ +6.0845263302326202392578f,8.5442108893766999244690f,0.6426467280834913253784f,\ +8.279082938097417354584f,9.2623437754809856414795f,5.6672112690284848213196f,\ +5.711638936772942543030f,8.1601104838773608207703f,0.5689279362559318542481f,\ +5.5959366867318749427795f,1.2493403162807226181030f,7.279222286306321620941f,\ +2.6777664758265018463135f,5.4653349192813038825989f,9.885407658293843269348f,\ +7.3956565884873270988464f,0.0371731072664260864258f,5.9005728596821427345276f,\ +3.096467358991503715515f,2.5522057106718420982361f,6.2518793903291225433350f,\ +1.1574173765257000923157f,6.1170040909200906753540f,6.7839562846347689628601f,\ +3.3200952783226966857910f,0.2587099233642220497131f,5.1744682248681783676147f,\ +3.9168732380494475364685f,2.4135384149849414825439f,5.064434898085892200470f,\ +4.2361020017415285110474f,2.8937275288626551628113f,0.8879321813583374023438f,\ +6.2128817522898316383362f,3.4549844544380903244019f,7.0648676296696066856384f,\ +5.2114724926650524139404f,2.8704008506610989570618f,6.502795079723000526428f,\ +0.8813347620889544487000f,4.498763345181941986084f,7.2272530803456902503967f,\ +8.9767962601035833358765f,2.4278218811377882957458f,4.3377211131155490875244f,\ +9.6770532103255391120911f,5.0685344357043504714966f,5.2329764096066355705261f,\ +5.5969475954771041870117f,5.6173070007935166358948f,4.68176002614200115204f,\ +7.794546722434461116791f,7.9010718129575252532959f,9.8085420625284314155579f,\ +8.1870661024004220962524f,4.2568723810836672782898f,2.4615605548024177551270f,\ +9.2295324662700295448303f,1.000745808705687522888f,4.6782181179150938987732f,\ +3.9504976756870746612549f,0.3661171020939946174622f,5.175368534401059150696f,\ +8.3254515705630183219910f,6.1048321425914764404297f,1.8711117887869477272034f,\ +0.1895748358219861984253f,8.4335647663101553916931f,0.7485948316752910614014f,\ +8.5328151332214474678040f,0.1245901081711053848267f,1.8675393564626574516296f,\ +4.920584075152873992920f,7.4896081397309899330f,9.414957007393240928650f,\ +2.1240556007251143455505f,5.7950199581682682037354f,2.628147569485008716583f,\ +4.3609866220504045486450f,9.1105451015755534172058f,8.0826673656702041625977f,\ +8.1026530498638749122620f,2.5904283951967954635620f,4.1390872886404395103455f,\ +3.599927779287099838257f,6.91278793383389711380f,7.6568587962538003921509f,\ +3.572649653069674968720f,7.6933998242020606994629f,5.4776339093223214149475f,\ +0.9622887428849935531616f,9.5611717319115996360779f,2.2074085660278797149658f,\ +0.1432593585923314094544f,8.1914897728711366653442f,1.3049928424879908561707f,\ +9.6820035576820373535156f,6.5613814676180481910706f,2.4455389659851789474487f,\ +5.2831235667690634727478f,8.4689256362617015838623f,7.8766220854595303535461f,\ +1.262082615867257118225f,7.8838609857484698295593f,3.4530424699187278747559f,\ +2.6598573336377739906311f,9.7098186518996953964233f,8.8752476638182997703552f,\ +2.066752854734659194946f,8.5251609655097126960754f,6.7446978110820055007935f,\ +9.152874383144080638886f,0.2848597615957260131836f,2.367841475643217563629f,\ +7.0153435599058866500854f,1.2025266280397772789001f,8.2874121330678462982178f,\ +3.1610729591920971870422f,5.30519076623022556305f,5.715174819342792034149f,\ +0.4780154302716255187988f,8.2486197212710976600647f,5.7988431211560964584351f,\ +2.7918082987889647483826f,9.5451109297573566436768f,9.0711546363309025764465f,\ +3.3601493109017610549927f,1.1756130633875727653503f,9.2537237703800201416016f,\ +7.2636712575331330299377f,9.0094979386776685714722f,3.9489932497963309288025f,\ +5.6551797501742839813232f,7.0614896761253476142883f,6.7878311965614557266235f,\ +4.1329363686963915824890f,1.402290873229503631592f,4.9523561308160424232483f,\ +4.1948772873729467391968f,8.6262222891673445701599f,2.8575096465647220611572f,\ +2.5121363671496510505676f,3.389101596549153327942f} + + +#define RESULT2 {0.9706107215522056241852f,1.4226512916310911638362f,1.0319374505428213772973f,\ +0.246905751916103338717f,2.0519583905069445073366f,0.7509586489514044060911f,\ +0.1145374781176292794394f,1.9252548546825831721208f,0.4260626375542267973984f,\ +1.9417372548863311987333f,2.1300774331528766758481f,1.4016815575274605976119f,\ +1.4097240974656071177407f,2.1729462062921069964716f,0.1295883538042104654586f,\ +0.6923157050192292327751f,1.7260933336118711167728f,1.7743042306089458204355f,\ +1.9248294562744026059420f,2.1867504404929474226549f,1.6178450344817050243762f,\ +1.2509371333857781660726f,1.3542304576599399901227f,2.2216893784894660157647f,\ +2.2500472625069045662372f,1.2341151000295289552611f,1.3244505343759986892849f,\ +1.993466976516135025221f,0.9615552493321314342367f,1.6081358323702796830901f,\ +0.9702402946929443716684f,1.658906529368289861637f,1.6819873484154954645931f,\ +0.1822594753876470019538f,0.8137278503591067746470f,1.8364289458354570161447f,\ +2.0292571844941731384893f,-0.7224396410182910566178f,1.9056757389571916672f,\ +0.7016968755690818904114f,1.3639398299492546673406f,2.1162936535075722588317f,\ +1.7713390779775688432807f,1.5746765360416834500512f,0.8032855297427843321856f,\ +2.1283371369164427733267f,0.1873057044979935803486f,1.0491993894614395355092f,\ +2.1526356176491328042744f,2.1393719992097341986437f,1.659572089557145968541f,\ +2.2956823132957397959331f,1.870041069148148160650f,2.294874536928924957380f,\ +-0.6923079771535994852982f,2.012968695092798743218f,1.4119764836513208905444f,\ +1.8057488812128539290569f,2.1452539646586252786165f,-0.4421601177273855043381f,\ +2.1137322059948120411832f,2.225957124135133913256f,1.7346971570693363595694f,\ +1.7425060116900870088585f,2.0992577085752079923964f,-0.5640015026903990591478f,\ +1.7220407427170496550417f,0.2226156650313379503636f,1.9850240276979147502345f,\ +0.9849830425057782834486f,1.6984254041571493765161f,2.2910596958626552321903f,\ +2.0008928803872945145770f,-3.2921697020833700086939f,1.7750494410596528993551f,\ +1.1302619000814182470549f,0.9369579698639551867956f,1.83288212099904845864f,\ +0.146191123459191885114f,1.8110724490390321950173f,1.9145604545765595450035f,\ +1.1999934808065779723307f,-1.3520478319474638073672f,1.6437365753918393718180f,\ +1.3652936921609135634270f,0.8810938927039604351421f,1.62224256150308399071f,\ +1.4436435071804869512135f,1.0625454734184220928483f,-0.1188599112506976002157f,\ +1.8266248385955683453119f,1.2398179577704631082469f,1.9551342798915567477991f,\ +1.6508624439841452780087f,1.0544516892385875639349f,1.8722320967378904832401f,\ +-0.1263177455503078638888f,1.5038025468266962292319f,1.9778590304154859413899f,\ +2.194643054750437638489f,0.8869945101840888135314f,1.4673491210608482493427f,\ +2.2697574345222681913015f,1.6230517098794554620156f,1.6549802193742981781810f,\ +1.7222213768989977911161f,1.7258523677080592761968f,1.5436741131934335058418f,\ +2.0534243510350704831069f,2.0669984227965598755361f,2.2832536450533371663596f,\ +2.1025556044304130054456f,1.4485347077928583114925f,0.9007955206863934582984f,\ +2.2224083935232625819367f,0.0007455307285780288533f,1.5429172933929051758639f,\ +1.3738415648213015973766f,-1.0048020456777133624371f,1.6439105509928255699492f,\ +2.1193172771056971726011f,1.8090806121136604467381f,0.6265327936561931876369f,\ +-1.6629714204274992361832f,2.1322195493342954719651f,-0.2895573875226954974060f,\ +2.1439193343978621975054f,-2.0827260644551484070064f,0.62462171221383455677f,\ +1.5934272379201788183423f,2.0135164783675794097917f,2.24229959570391956802f,\ +0.7533272804029441660489f,1.7569989208182723583462f,0.9662792518179295075953f,\ +1.4726983212224467045814f,2.209432545000515446532f,2.089721937569185339356f,\ +2.09219154507008475719f,0.951823265584673561257f,1.4204753018509210793496f,\ +1.2809137839516946399954f,1.9333730200617991190626f,2.0356018208291457582959f,\ +1.273307520236932832702f,2.0403627955950214278857f,1.700673239349282273025f,\ +-0.0384407248228896478159f,2.257710285652239079468f,0.7918192329452391486910f,\ +-1.943098595033752262751f,2.1030957827723826270017f,0.2661975560760838632746f,\ +2.2702688589706512267696f,1.8812011703610473922765f,0.8942655346201515698112f,\ +1.6645175074163265360738f,2.136403657202092354339f,2.0638991426068855616904f,\ +0.2327632262134610163784f,2.0648177566830252516183f,1.2392557177584351268962f,\ +0.9782724873844932389488f,2.273137605702431063293f,2.183266240754464071472f,\ +0.7259787064172199544387f,2.1430219045760425800040f,1.9087566867408878312773f,\ +2.2140679701900434217521f,-1.255758284393388990452f,0.8619787703734573813819f,\ +1.9480996873952269865526f,0.1844248666526293323198f,2.114737753111020968078f,\ +1.1509115140149177580753f,1.668685731123507043350f,1.7431248863402162285752f,\ +-0.7381122661087159420035f,2.1100458798366994450646f,1.7576584357875708608532f,\ +1.0266895216506544131f,2.2560290788762715763482f,2.205099558817555038814f,\ +1.2119854107561658373982f,0.1617897676032789000544f,2.2250260402856771868585f,\ +1.9828853838780200469216f,2.1982793473903963210603f,1.373460672957984574083f,\ +1.73257189512379894403f,1.9546560315313432631967f,1.9151314791431239825670f,\ +1.4189881394992434060498f,0.3381072372999247011016f,1.5998634493586285643119f,\ +1.4338640873752146465137f,2.15480666756291494579f,1.0499504925567986202140f,\ +0.9211335334181942613441f,1.2205648705022635880368f} + + + + + + + + +#define CSOURCER {0.3140813848003745079041f,0.5769402063451707363129f,0.1306138429790735244751f,\ +0.0478980806656181812286f,0.4500174494460225105286f,0.0384718659333884716034f,\ +0.483350999653339385986f,0.2981918179430067539215f,0.7112689120694994926453f,\ +0.9268360524438321590424f,0.9477838929742574691772f,0.1729496796615421772003f,\ +0.2750928336754441261292f,0.0044281478039920330048f,0.0611358620226383209229f,\ +0.1950612799264490604401f,0.3789803450927138328552f,0.2549188635312020778656f,\ +0.1764185149222612380981f,0.6008180272765457630157f,0.3703392641618847846985f,\ +0.2908470141701400279999f,0.5384815335273742675781f,0.8090293356217443943024f,\ +0.9260985879227519035339f,0.1576966657303273677826f,0.9518593531101942062378f,\ +0.2709982101805508136749f,0.1609848598018288612366f,0.8782086591236293315887f,\ +0.5091647170484066009521f,0.7951062084175646305084f,0.8432204117998480796814f,\ +0.5806765086017549037933f,0.3487791065126657485962f,0.9397577759809792041779f,\ +0.4363934816792607307434f,0.5549766751937568187714f,0.9105900451540946960449f,\ +0.5684339576400816440582f,0.1862502051517367362976f,0.0800832151435315608978f,\ +0.6585252787917852401733f,0.1606054832227528095245f,0.9711584830656647682190f,\ +0.3668168033473193645477f,0.7386338301002979278564f,0.9722552285529673099518f,\ +0.1349937235936522483826f,0.4595781317912042140961f,0.5414639282971620559692f,\ +0.6397600513882935047150f,0.0211964594200253486633f,0.4408156829886138439178f,\ +0.6374878138303756713867f,0.3208820023573935031891f,0.4267518399283289909363f,\ +0.7819778784178197383881f,0.0543234180659055709839f,0.9666189108975231647491f,\ +0.6948409983888268470764f,0.1846996019594371318817f,0.3645029179751873016357f,\ +0.8176643461920320987701f,0.664914294146001338959f,0.7559730983339250087738f,\ +0.5525381658226251602173f,0.7192269531078636646271f,0.1989364298060536384583f,\ +0.8610532465390861034393f,0.1300329938530921936035f,0.347959163133054971695f,\ +0.5025534434244036674500f,0.4978472082875669002533f,0.4675923939794301986694f,\ +0.9447452803142368793488f,0.9599315756931900978088f,0.5365384514443576335907f,\ +0.8122785724699497222900f,0.6470989421941339969635f,0.7010180121287703514099f,\ +0.6681951484642922878265f,0.9593638796359300613403f,0.0149199557490646839142f,\ +0.6199735002592206001282f,0.4061129498295485973358f,0.0471306145191192626953f,\ +0.8433605083264410495758f,0.0635268418118357658386f,0.9836421324871480464935f,\ +0.4434677045792341232300f,0.8565507535822689533234f,0.9080012599006295204163f,\ +0.4922491232864558696747f,0.1930142603814601898193f,0.3759337724186480045319f,\ +0.2437626412138342857361f,0.1035623974166810512543f,0.9936000052839517593384f,\ +0.5569599089212715625763f,0.3858396532014012336731f,0.7191527518443763256073f,\ +0.1707325801253318786621f,0.2878904812969267368317f,0.4294657362625002861023f,\ +0.8917979537509381771088f,0.6188817229121923446655f,0.3444608678109943866730f,\ +0.0692929709330201148987f,0.3619817639701068401337f,0.1783103235065937042236f,\ +0.8941529677249491214752f,0.9010278200730681419373f,0.0533773354254662990570f,\ +0.4162023533135652542114f,0.9438270372338593006134f,0.9242387460544705390930f,\ +0.8710649865679442882538f,0.2808376699686050415039f,0.8244629004038870334625f,\ +0.4650857029482722282410f,0.1462343498133122920990f,0.5975636970251798629761f,\ +0.3067605351097881793976f,0.2377215037122368812561f,0.0711208949796855449677f,\ +0.8753139786422252655029f,0.4413500339724123477936f,0.7631150623783469200134f,\ +0.9679268277250230312347f,0.3924236092716455459595f,0.717360940296202898026f,\ +0.8640465112403035163879f,0.7354763629846274852753f,0.0304915383458137512207f,\ +0.6331009590066969394684f,0.4550241930410265922546f,0.3173553734086453914642f,\ +0.8250397499650716781616f,0.2725940425880253314972f,0.3458735281601548194885f,\ +0.5352854127995669841766f,0.7017193175852298736572f,0.9817278520204126834869f,\ +0.2777477568015456199646f,0.1314821145497262477875f,0.366813333705067634583f,\ +0.7377605927176773548126f,0.9103105561807751655579f,0.3637479650788009166718f,\ +0.8207867145538330078125f,0.3059372254647314548492f,0.9788405327126383781433f,\ +0.9970494522713124752045f,0.4636328797787427902222f,0.7769650523550808429718f,\ +0.3400075891986489295959f,0.0353285889141261577606f,0.2607673071324825286865f,\ +0.5790986777283251285553f,0.1250711670145392417908f,0.0372988111339509487152f,\ +0.9382179621607065200806f,0.5585843441076576709747f,0.7192503632977604866028f,\ +0.3599752518348395824432f,0.6758626028895378112793f,0.2222136431373655796051f,\ +0.7860159231349825859070f,0.1736893891356885433197f,0.2674629595130681991577f,\ +0.7357366015203297138214f,0.0550541067495942115784f,0.5923380698077380657196f,\ +0.2162457890808582305908f,0.7718841419555246829987f,0.0926524316892027854919f,\ +0.7626169077120721340179f,0.7347808051854372024536f,0.8017499190755188465118f,\ +0.7732572900131344795227f,0.2559880572371184825897f,0.1179054826498031616f,\ +0.9232815303839743137360f,0.6709534404799342155457f,0.6071323617361485958099f,\ +0.4574467372149229049683f,0.8206311021931469440460f,0.0896153757348656654358f,\ +0.3426358769647777080536f,0.1674894802272319793701f,0.9481152505613863468170f,\ +0.9504805644974112510681f,0.3436607695184648036957f,0.2889420483261346817017f,\ +0.5325344172306358814240f,0.2558945687487721443176f,0.8863505902700126171112f,\ +0.0421485081315040588379f,0.4876015805639326572418f} + +#define CSOURCEI {0.347978035919368267059f,0.2037199228070676326752f,0.5962978359311819076538f,\ +0.8342303414829075336456f,0.6809655660763382911682f,0.9127784068696200847626f,\ +0.5243799723684787750244f,0.7204323844052851200104f,0.3259664541110396385193f,\ +0.1506391367875039577484f,0.9124387521296739578247f,0.6345743131823837757111f,\ +0.9268973069265484809875f,0.7633614349178969860077f,0.5918717086315155029297f,\ +0.9057438620366156101227f,0.3263365356251597404480f,0.3912780000828206539154f,\ +0.4635267537087202072144f,0.0849754814989864826202f,0.5800507226958870887756f,\ +0.7945564310066401958466f,0.3823457323014736175537f,0.3010852993465960025787f,\ +0.5789428642019629478455f,0.2627451247535645961761f,0.5713048521429300308228f,\ +0.1848654565401375293732f,0.9971724869683384895325f,0.4520535501651465892792f,\ +0.0334019884467124938965f,0.4553878181613981723785f,0.7851976407691836357117f,\ +0.4941168962977826595306f,0.9304408635944128036499f,0.7621670593507587909698f,\ +0.9264887655153870582581f,0.7199950958602130413055f,0.3973621018230915069580f,\ +0.8769331262446939945221f,0.6766644334420561790466f,0.8431562236510217189789f,\ +0.7608711589127779006958f,0.8287630719132721424103f,0.0037989662960171699524f,\ +0.9451942699961364269257f,0.6311131268739700317383f,0.0763222672976553440094f,\ +0.4486519275233149528503f,0.1080312891863286495209f,0.8351444136351346969604f,\ +0.3109649871475994586945f,0.1235694894567131996155f,0.0363539229147136211395f,\ +0.6609512977302074432373f,0.9844443709589540958405f,0.0688076755031943321228f,\ +0.5140342987142503261566f,0.3807653579860925674438f,0.1549817589111626148224f,\ +0.6850274773314595222473f,0.0382853033952414989471f,0.5224257782101631164551f,\ +0.7454454028047621250153f,0.4607118470594286918640f,0.4753002314828336238861f,\ +0.8575385268777608871460f,0.8073885519988834857941f,0.7132545644417405128479f,\ +0.0811268086545169353485f,0.5751824118196964263916f,0.884696914348751306534f,\ +0.5624709790572524070740f,0.7315255901776254177094f,0.6099120099097490310669f,\ +0.0705954921431839466095f,0.8552806274965405464172f,0.7045627343468368053436f,\ +0.5928074717521667480469f,0.8517647930420935153961f,0.2603117255493998527527f,\ +0.8596871509216725826263f,0.3943212013691663742065f,0.3333164160139858722687f,\ +0.2511775353923439979553f,0.5570420245639979839325f,0.7276714108884334564209f,\ +0.9383780122734606266022f,0.1971746077761054039001f,0.1607607132755219936371f,\ +0.7815325502306222915649f,0.1760376212187111377716f,0.2801528992131352424622f,\ +0.4699970218352973461151f,0.3507726117968559265137f,0.5713973813690245151520f,\ +0.4563077641651034355164f,0.9214398502372205257416f,0.4339873101562261581421f,\ +0.3514866163022816181183f,0.1816438222303986549377f,0.9070622171275317668915f,\ +0.7665811367332935333252f,0.9807842955924570560455f,0.1198607003316283226013f,\ +0.0508546582423150539398f,0.2581452894955873489380f,0.1401008707471191883087f,\ +0.5514106499031186103821f,0.7882929998449981212616f,0.8028824776411056518555f,\ +0.2425694861449301242828f,0.7024780390784144401550f,0.0922905071638524532318f,\ +0.4318286012858152389526f,0.0804965649731457233429f,0.7126307198777794837952f,\ +0.6893844078294932842255f,0.2756213061511516571045f,0.6968217701651155948639f,\ +0.4598932703956961631775f,0.6099067903123795986176f,0.3065654132515192031860f,\ +0.0749373403377830982208f,0.9619921119883656501770f,0.4158898773603141307831f,\ +0.3287452235817909240723f,0.7406168007291853427887f,0.5725225014612078666687f,\ +0.9504556744359433650970f,0.1849336978048086166382f,0.8698030491359531879425f,\ +0.6907873982563614845276f,0.9524399931542575359344f,0.6490485109388828277588f,\ +0.9960058168508112430573f,0.2040582066401839256287f,0.3800008497200906276703f,\ +0.9729049820452928543091f,0.9110585046000778675079f,0.3810073928907513618469f,\ +0.7869612383656203746796f,0.5560158789157867431641f,0.8529843934811651706696f,\ +0.4350629774853587150574f,0.5956362797878682613373f,0.7071880977600812911987f,\ +0.5747222309000790119171f,0.4764349022880196571350f,0.6098947445861995220184f,\ +0.9666662178933620452881f,0.3874611915089190006256f,0.0715632727369666099548f,\ +0.6122049516998231410980f,0.9575729314237833023071f,0.7723352131433784961700f,\ +0.1287384750321507453918f,0.3884150418452918529510f,0.2353963479399681091309f,\ +0.6542267077602446079254f,0.3286431683227419853210f,0.024017625954002141953f,\ +0.1042741741985082626343f,0.9314296473748981952667f,0.8185661518946290016174f,\ +0.8156488086096942424774f,0.8688247688114643096924f,0.3549220249988138675690f,\ +0.3890381073579192161560f,0.6415715864859521389008f,0.4902750719338655471802f,\ +0.3509976905770599842072f,0.8516392158344388008118f,0.1348936217837035655975f,\ +0.1156354099512100219727f,0.8810075619257986545563f,0.8367286501452326774597f,\ +0.5032693906687200069427f,0.4486711751669645309448f,0.9319602106697857379913f,\ +0.7298459419980645179749f,0.3388367067091166973114f,0.4314213804900646209717f,\ +0.7317318231798708438873f,0.9655342241749167442322f,0.2621376193128526210785f,\ +0.2050140891224145889282f,0.2826355365104973316193f,0.3973353477194905281067f,\ +0.7437736871652305126190f,0.8185287192463874816895f,0.3071001493372023105621f,\ +0.9627068741247057914734f,0.9475456266663968563080f,0.6546552237123250961304f,\ +0.1992082078941166400909f,0.3616109425202012062073f,0.9388273353688418865204f,\ +0.0409001447260379791260f,0.0758434669114649295807f} + +#define CRESULTR {-0.7576646139762764908809f,-0.4912662732014974609207f,-0.4935831983604013761813f,\ +-0.1796001444111503253520f,-0.2030603062114124668369f,-0.0903746939402042676059f,\ +-0.3380442117380291211504f,-0.2488385719103628768156f,-0.2453827611475934422636f,\ +-0.0629419446509737884332f,0.2743030686751847802007f,-0.4189753318430110562431f,\ +-0.0337034837449739430038f,-0.2700068328094388236948f,-0.5191589716059612502619f,\ +-0.0763304013057857499991f,-0.6929039668216129266298f,-0.7614418400301237177530f,\ +-0.7012514181881327468560f,-0.4995602487864141960650f,-0.3736855282655331400576f,\ +-0.1670990767606896909570f,-0.4148838171877601843640f,-0.1470641870540525808497f,\ +0.0881657571965975273010f,-1.1827451998005302780115f,0.1044920740886167709327f,\ +-1.1145963776166571967963f,0.0100332050022288142566f,-0.0123498399546466911675f,\ +-0.6728365416861274983518f,-0.0874315516128119363248f,0.1416698281269971604335f,\ +-0.2712125731855208887744f,-0.0063567040970050154788f,0.1906009971260032298535f,\ +0.0238331967155752874610f,-0.0953429917974444041118f,-0.0065067191893498198957f,\ +0.0440644425532304637172f,-0.3540655459766552382028f,-0.1661126167793314234444f,\ +0.0062509933701612868662f,-0.1693877982336349785619f,-0.0292579566847096204929f,\ +0.0137816953226981269570f,-0.0288761524361324552201f,-0.0250652390791611112686f,\ +-0.7581745137578204118967f,-0.7505545612383084375097f,-0.0046973071232757198853f,\ +-0.3406170651999906873186f,-2.0764518222153585114143f,-0.8157393323281721952966f,\ +-0.0852474852363154095292f,0.0348077956215509243254f,-0.8387202021909221372198f,\ +-0.0663540586103768398329f,-0.9554969196553003696337f,-0.0212599130834864695483f,\ +-0.0245601140031842454792f,-1.6679899099681032570430f,-0.4509584277017124609443f,\ +0.1011698547763601602201f,-0.2120439010955574854478f,-0.1131958883879479044188f,\ +0.0199327284817682297280f,0.0781443465987670671247f,-0.3004592565973881468366f,\ +-0.1451799924584522560878f,-0.5281452333714923286223f,-0.0505933914241510074294f,\ +-0.2819958038859460280889f,-0.122323084811984963971f,-0.2632782651610236501760f,\ +-0.0540558326414990047981f,0.2512879183645665981395f,-0.1214932149359973512226f,\ +0.0055773659320434761794f,0.0673704632706614986448f,-0.2906343733694730646633f,\ +0.0851020319327377705587f,0.0365640112295984101576f,-1.0976622196833336619903f,\ +-0.4020870876485082012763f,-0.3719849821436939651953f,-0.3158125612041708385469f,\ +0.2324359424588408329360f,-1.5742845766045041600023f,-0.0033130260706617652329f,\ +-0.1069329039454427060507f,-0.1341564770393289252048f,-0.0510429776001832605226f,\ +-0.3847912680433241972011f,-0.9153668051115183557087f,-0.3798345871473772783489f,\ +-0.6590618454479428844905f,-0.0755413642077243097095f,0.0808833545731707098669f,\ +-0.417646722764209388234f,-0.8522405945532404158982f,0.1463133685463073596633f,\ +-0.2416082657366604991012f,0.0219217192558878656850f,-0.8077093656959043466159f,\ +-0.1128924015633438332484f,-0.3996389102953575300781f,-0.9892317511551623754329f,\ +-0.5874413267393940873973f,-0.1422192352759769073955f,-0.1954743580270074387872f,\ +-0.0763719684521397823573f,0.1332266112260754309382f,-2.2385346085566988350024f,\ +-0.5112419918132667939759f,-0.0541885453710462053345f,0.1544990573544810508189f,\ +0.1051325180789595692410f,-0.9326914829433226028499f,0.0764891336322670034598f,\ +-0.4245421077023512346216f,-0.4665013282915527192962f,-0.3980722181205589849107f,\ +-1.152706389176620049852f,-0.0091123646200983177135f,-0.8629224644504486230190f,\ +-0.0671956049468366567456f,-0.1483256896732535745631f,-0.0470857769330114903084f,\ +0.3049502630226416100001f,-0.8351336293434713509143f,0.1199665328310368234144f,\ +0.100965515388687754328f,0.1851149271955789266109f,-0.4311455286578065315695f,\ +0.1656739977240755667953f,-0.6957805672270640506838f,-0.7030137346248552798755f,\ +0.2434410334133135511703f,-0.0502776447144934607314f,-0.6643994214275527054880f,\ +-0.0494471424057717073852f,-0.1105954430789197057150f,0.2627700024490645658304f,\ +-0.6613338575819812659162f,-0.4943364682181946023753f,-0.2273273919604619497381f,\ +-0.0669964153308245241591f,0.0270809622513717325465f,-0.3423076587443550367063f,\ +0.2375373770411028651051f,-0.7058599113455784612725f,-0.0187211007688289424178f,\ +0.1570046667576522059218f,0.0619494218295955287323f,0.0912342621811634557627f,\ +-1.0118000314587793919685f,-0.9415613562651380386015f,-1.04611739737066766764f,\ +-0.1350076179226963601909f,-1.045153664947628735504f,-3.1153566294303054462489f,\ +-0.0576346967934074291828f,0.0825782285147220879162f,0.0858710750707356584854f,\ +-0.1147913938093602786994f,0.0959901869720326261781f,-0.8704897942843184965866f,\ +-0.1312205414500346722928f,-0.4084692473683823599195f,-0.5825265796688483543875f,\ +-0.2043543873503067542785f,-0.1585071715930248537063f,-0.4983971045262390875408f,\ +-1.405591688480441803222f,0.1581272765392360557524f,-0.1721619754559372272862f,\ +-0.0902428450071243726249f,-0.1497365537505691013287f,0.2065025609822116192671f,\ +0.0613750886386554700413f,-0.8564551079948240497330f,-0.804653684520539647096f,\ +0.1638887899169061412863f,0.1619231669215081825808f,-0.4135383706484943022730f,\ +-0.6905772083929240245936f,-0.1416337472709212619293f,-0.8981660716461068449945f,\ +-0.1997922350746098307805f,-0.1797380100619248022298f,-0.0033949848444226812805f,\ +0.3022174959979692654422f,0.0079098230306947625579f,-0.3346557902575436060921f,\ +-0.5646231542298842942529f,-0.8141969637368523526888f,0.2555170413707821830407f,\ +-2.8347892907784113525338f,-0.7063037006217763869032f} + +#define CRESULTI {0.8365523024247201178127f,0.3394374381847692356828f,1.355160662925530390410f,\ +1.5134434006476746858993f,0.9868300791435297147913f,1.528673168936313331301f,\ +0.8260899014265745687879f,1.1783591647662248202977f,0.4297253343366602140740f,\ +0.1611216299891750081130f,0.7663999599077054858398f,1.3047144916618338417180f,\ +1.2822880914611145541926f,1.5649955384218765530591f,1.4678689248356304730692f,\ +1.3586758006659467312716f,0.7108977814935093508808f,0.9933651109027943348906f,\ +1.2071246910756632253481f,0.1405010934420483359464f,1.0025763105214653414521f,\ +1.21989563358396813086f,0.6174353300937470701015f,0.3562751652356153653223f,\ +0.5587012199090121145062f,1.0302380576516638743811f,0.5405656721364887618009f,\ +0.5986555168040823549092f,1.4107360213988626718162f,0.4753739371565622318094f,\ +0.0655076733245526648952f,0.5201329289544929235234f,0.7497818580560413614933f,\ +0.7050355621930805005704f,1.2121540141336599738509f,0.6814274485183255958276f,\ +1.1306014284455374596661f,0.9141116926495304051414f,0.4114688990228685949724f,\ +0.9956827833608694611200f,1.3022000158632660582469f,1.4761001233596913184698f,\ +0.8573788009054216230354f,1.379379585022410426021f,0.0039117682490215858332f,\ +1.2006025140002900553071f,0.7070620318380608226860f,0.0783395850399789817065f,\ +1.2785255791075276210478f,0.2308747034561683952880f,0.9955835564035591112031f,\ +0.4524376138027601523817f,1.4009149235535949262754f,0.0822834615192538504358f,\ +0.8034667275967887212218f,1.2557032585647818212493f,0.1598599852603853899158f,\ +0.5815258576469973794687f,1.4290836436420499833133f,0.1589807896730044689537f,\ +0.7782863583371778526399f,0.2043896563749957318024f,0.9616073478994561218869f,\ +0.7392289023091881405847f,0.6059375681629087795343f,0.5612744745893767372991f,\ +0.9984170767670760282542f,0.8430838000818645650014f,1.29879528501095431459f,\ +0.0939407915654127262384f,1.3484611857054962236191f,1.1960714214373144859138f,\ +0.8415982269448546437829f,0.9732366936364994502995f,0.9167206383382787704406f,\ +0.0745857498941502189416f,0.7278097264573785141195f,0.9199632393837048338625f,\ +0.6304525502744320331061f,0.9211062195464506663356f,0.3555526540057888373880f,\ +0.9100796877015666641597f,0.3899732161636976779384f,1.5260640477653748536824f,\ +0.3849315818496458763143f,0.9408368768631211187525f,1.5061175798419510485360f,\ +0.838676229611447277001f,1.2591119550131308901797f,0.1620018843959732390836f,\ +1.0546671087981356329522f,0.2026968016035011754816f,0.299271305708051660321f,\ +0.7622771187183752239491f,1.067757629024185028754f,0.9888735682758375000745f,\ +1.0801593307389727449674f,1.4588740911245949849473f,0.4118082358815949306496f,\ +0.5629599662610861310341f,0.4399958138718327860239f,0.9004381750108224613527f,\ +1.3516535386697041687398f,1.2852850170743990165789f,0.2721670546404741375390f,\ +0.0569631738604013462823f,0.3951736758236387148102f,0.3862903740059538404417f,\ +1.4457867030840705346861f,1.1403205655573340759901f,1.3522555755333163229892f,\ +0.264908300074692404369f,0.6622029195378335009181f,1.0464389789763977045567f,\ +0.8038225849224520658254f,0.0850815175089563863198f,0.6568351393392068970911f,\ +0.669491640154789569017f,0.7760242270392859742500f,0.7016907095208140265896f,\ +0.7797846541592131641707f,1.335473484345777617222f,0.4740136251481967821775f,\ +0.2395937042296285568455f,1.3285359486862795552753f,1.401425714315664317056f,\ +0.3592738595863486095183f,1.0333805631652628331807f,0.6436572543635337151358f,\ +0.7762911838119904706090f,0.4403927201098556398762f,0.8811512979588507210593f,\ +0.674423430961778702653f,0.9132365009577151360176f,1.5238520140402758151765f,\ +1.00458246450610100275f,0.4215689680173497211335f,0.874990498737184374534f,\ +0.8674547514202983755638f,1.2800682610709759323697f,0.8336956783393613124034f,\ +0.9734878037135866746254f,0.6700663792657182149526f,0.7153420705223627606983f,\ +1.0026132338500262086711f,1.3535381134312993722801f,1.0923065980664201646277f,\ +0.6618099327465949421878f,0.4821732258146940175436f,1.033019939116806895640f,\ +0.8668307442664776596430f,0.9024324853624734465996f,0.0729804020494689703602f,\ +0.5506621520352920073904f,1.1198886719657494825952f,0.7824098301910974440077f,\ +0.3619529370272654977825f,1.4800901440707066036850f,0.7343084050589578914980f,\ +0.8462379976616437593506f,1.2071528313995831815930f,0.5720924999360996743292f,\ +0.1106864208392598775132f,1.0305927183418297499173f,0.8498909387724447039858f,\ +1.15517062965696792887f,0.9096742728488710350021f,1.01141253782177353848f,\ +0.4595989696224830889371f,1.3064089912173471041967f,1.071386424855859109684f,\ +0.4451357270611538408112f,1.5062412806888749727818f,0.2239121309027737871666f,\ +0.4910523338147070870896f,0.8513221989625705532490f,1.460513851259993778342f,\ +0.5833202395880134893957f,0.5481910770820362932554f,0.8603624185522980027940f,\ +0.7565250407629732221082f,0.9237902776741101495972f,1.3040155501467787235725f,\ +0.6701717740731456540715f,0.9634987985586029868301f,0.4075854524817449364704f,\ +0.4213313914917447000619f,0.3316883655770838101873f,1.3489670985956061510791f,\ +1.1391029061589752480188f,1.3689599297259111843061f,0.3132420296422914196555f,\ +0.7917886209906572769768f,1.2228656637749606428400f,1.1551462426298317875961f,\ +0.3579601167993540777879f,0.9549534865181378284760f,0.8141418225805733266398f,\ +0.7703675837106083168493f,0.1543074266086776613616f} + +#define CSOURCE2R {3.9219759730622172355652f,4.6815521270036697387695f,3.361602746881544589996f,\ +5.3368766140192747116089f,2.03906395938247442245f,1.5899897180497646331787f,\ +0.1818151073530316352844f,4.0983706060796976089478f,0.1058345986530184745789f,\ +1.9653097167611122131348f,2.7255953708663582801819f,3.4376550372689962387085f,\ +2.0337020372971892356873f,3.0119446106255054473877f,2.7625959040597081184387f,\ +2.9445307422429323196411f,5.7180739520117640495300f,2.141770124435424804688f,\ +6.8954616272822022438049f,5.8555728476494550704956f,4.2041230341419577598572f,\ +4.2775720171630382537842f,3.1845858739688992500305f,5.7618944440037012100220f,\ +4.2549022240564227104187f,9.7619816288352012634277f,2.518960000015795230866f,\ +4.3911290075629949569702f,0.7593036955222487449646f,2.5593801774084568023682f,\ +0.6706167431548237800598f,7.6511315722018480300903f,0.4173615900799632072449f,\ +3.438271805644035339356f,1.9701673323288559913635f,2.1228986512869596481323f,\ +3.1403985014185309410095f,7.8216253779828548431396f,0.5409323470667004585266f,\ +9.1902069095522165298462f,4.6035157097503542900085f,2.9926850274205207824707f,\ +0.0291663268581032752991f,8.9934705849736928939819f,8.3879271661862730979919f,\ +4.3437494523823261260986f,7.7678761305287480354309f,1.3953176606446504592896f,\ +1.1506372271105647087097f,5.3554199635982513427734f,4.3117330456152558326721f,\ +6.145384786650538444519f,9.2589621385559439659119f,0.9938172809779644012451f,\ +4.2805786477401852607727f,9.431830951943993568420f,0.3273952705785632133484f,\ +9.2132670804858207702637f,9.4490244099870324134827f,9.007069906219840049744f,\ +8.0943161016330122947693f,0.2519542910158634185791f,0.0196450622752308845520f,\ +5.0752213317900896072388f,4.0760429529473185539246f,8.4080461412668228149414f,\ +5.017265700735151767731f,9.1287807654589414596558f,4.4357294728979468345642f,\ +5.9837839566171169281006f,7.7418426470831036567688f,7.9220082703977823257446f,\ +5.5046048713847994804382f,4.0850437059998512268066f,7.2174380579963326454163f,\ +4.768535858020186424255f,6.3930579042062163352966f,9.963865298777818679810f,\ +1.5747882844880223274231f,5.3506936598569154739380f,2.1290646074339747428894f,\ +5.59145063161849975586f,4.304965981282293796539f,0.2280548494309186935425f,\ +5.7614597817882895469666f,7.1491303853690624237061f,9.3216359661892056465149f,\ +1.2326993141323328018188f,2.8655522270128130912781f,0.1247995719313621520996f,\ +5.7694048294797539710999f,3.9386960770934820175171f,6.8885837262496352195740f,\ +9.7023218311369419097900f,8.51576429326087236404f,3.3933044690638780593872f,\ +8.7725317804142832756042f,1.1314024776220321655273f,5.2641283208504319190979f,\ +5.297394050285220146179f,9.2917560925707221031189f,9.7654302977025508880615f,\ +6.2254639761522412300110f,9.822583282366394996643f,7.5429888023063540458679f,\ +5.4547880962491035461426f,7.2860160330310463905334f,0.2525969501584768295288f,\ +4.0251684701070189476013f,0.9831319935619831085205f,2.6086253346875309944153f,\ +3.6363423336297273635864f,1.7466178117319941520691f,9.2341394722461700439453f,\ +7.6051409030333161354065f,5.6402041297405958175659f,3.7970651825889945030212f,\ +8.7762261740863323211670f,8.21742579806596040726f,6.787058124318718910217f,\ +0.8220098121091723442078f,2.5527314469218254089355f,7.4444567272439599037170f,\ +2.2695036139339208602905f,6.836930788122117519379f,9.3650726415216922760010f,\ +5.0530174048617482185364f,2.5248145777732133865356f,6.8188397912308573722839f,\ +2.8363681584596633911133f,1.409485661424696445465f,6.7591095995157957077026f,\ +4.5126775791868567466736f,7.5430292449891567230225f,1.3702143030241131782532f,\ +6.6082405392080545425415f,3.8900542212650179862976f,7.001820541918277740479f,\ +9.168005720712244510651f,2.1228999551385641098022f,2.6978330826386809349060f,\ +3.1998893804848194122314f,0.2321802498772740364075f,7.26544727571308612823f,\ +1.5340585587546229362488f,2.3552638292312622070312f,0.8797382796183228492737f,\ +7.1059537213295698165894f,6.8887275597080588340759f,6.5953194908797740936279f,\ +1.8151161121204495429993f,3.9049659762531518936157f,1.5869047446176409721375f,\ +6.2407150492072105407715f,6.3760355720296502113342f,4.2704886104911565780640f,\ +1.0716815060004591941833f,2.3822965659201145172119f,9.4629473658278584480286f,\ +4.5766852516680955886841f,8.9644787041470408439636f,4.4384705275297164916992f,\ +8.08956819120794534683f,6.8317985069006681442261f,0.3401931514963507652283f,\ +2.3805456422269344329834f,9.4920115964487195014954f,2.1827886346727609634399f,\ +6.1546878470107913017273f,8.3135433867573738098145f,7.7340125897899270057678f,\ +4.2441909667104482650757f,7.262125960551202297211f,7.0999773032963275909424f,\ +4.7457459988072514533997f,9.4386920798569917678833f,1.4596485672518610954285f,\ +0.7141010463237762451172f,6.7337385797873139381409f,6.536924717947840690613f,\ +1.996896131895482540131f,6.01412517949938774109f,1.8993748771026730537415f,\ +2.5839814636856317520142f,0.9878737432882189750671f,0.6199027225375175476074f,\ +0.4034968325868248939514f,7.4001471605151891708374f,6.1626600986346602439880f,\ +6.5835834480822086334229f,2.5145971449092030525208f,3.8433500844985246658325f,\ +4.3964602379128336906433f,6.5407369285821914672852f,5.878106378950178623200f,\ +6.0208318661898374557495f,0.4535020282492041587830f,2.0294443331658840179443f,\ +7.844273825176060199738f,2.6375361625105142593384f} + +#define CSOURCE2I {4.3832763982936739921570f,8.6648589745163917541504f,3.7921421090140938758850f,\ +7.6687160786241292953491f,6.0066213225945830345154f,7.85673560574650764465f,\ +7.3871155502274632453918f,5.5442603398114442825317f,9.9291495559737086296082f,\ +9.757428467273712158203f,3.709622272290289402008f,3.0322382133454084396362f,\ +9.5195201179012656211853f,7.1278580836951732635498f,1.192370061762630939484f,\ +5.0091631803661584854126f,3.2900535268709063529968f,4.8089468106627464294434f,\ +3.3036959776654839515686f,6.3044753577560186386108f,2.1171907847747206687927f,\ +4.4860231317579746246338f,5.9145097108557820320129f,6.8067426700145006179810f,\ +0.7392961112782359123230f,9.4336947053670883178711f,1.2863306934013962745667f,\ +2.0190807711333036422729f,1.9693034281954169273376f,8.9286901615560054779053f,\ +4.6179189579561352729797f,6.2512917164713144302368f,7.0597065938636660575867f,\ +7.0181696489453315734863f,4.0879997471347451210022f,0.6362213846296072006226f,\ +0.6573933875188231468201f,5.3310041315853595733643f,0.3315818728879094123840f,\ +3.157835649326443672180f,3.785823243670165538788f,4.6195234358310699462891f,\ +6.2873698258772492408752f,2.8785153012722730636597f,3.2920487364754080772400f,\ +4.7192330472171306610107f,3.3537696348503232002258f,5.5530697200447320938110f,\ +1.196080814115703105927f,7.6139996573328971862793f,4.7909884760156273841858f,\ +2.8169692959636449813843f,2.380097783170640468597f,3.2942054606974124908447f,\ +2.3067280324175953865051f,2.1362966019660234451294f,4.0549980429932475090027f,\ +3.0953712016344070434570f,6.762971603311598300934f,9.7069163154810667037964f,\ +5.4417965700849890708923f,0.2047479711472988128662f,8.9413649635389447212219f,\ +3.4903638903051614761353f,1.1053651524707674980164f,2.0233777537941932678223f,\ +1.3046909729018807411194f,8.573952978476881980896f,6.3780163740739226341248f,\ +4.0711227245628833770752f,6.6919379355385899543762f,2.042601602151989936829f,\ +8.3104313490912318229675f,0.1221632957458496093750f,4.8844617092981934547424f,\ +9.549877075478434562683f,0.5874312063679099082947f,8.2584649138152599334717f,\ +2.9807415651157498359680f,0.7757596764713525772095f,5.8460923237726092338562f,\ +7.528713606297969818115f,0.5172297963872551918030f,5.9586250688880681991577f,\ +3.8337053125724196434021f,4.9002202786505222320557f,5.2727950783446431159973f,\ +0.6889454741030931472778f,8.843077751807868480682f,7.1912937611341476440430f,\ +0.6942595774307847023010f,1.1522095929831266403198f,4.862680672667920589447f,\ +7.6715826056897640228271f,0.8805298106744885444641f,7.0085612777620553970337f,\ +1.879138792864978313446f,2.0178856328129768371582f,4.0628212550655007362366f,\ +4.0966569539159536361694f,1.769564501009881496429f,3.31293122842907905579f,\ +0.5184767069295048713684f,4.1492417920380830764771f,7.2212355909869074821472f,\ +0.7746253907680511474609f,5.8558783913031220436096f,3.7079446297138929367065f,\ +2.1161167463287711143494f,1.903268527239561080933f,5.607953821308910846710f,\ +9.4247916433960199356079f,6.8177247745916247367859f,2.7342410013079643249512f,\ +2.0717754075303673744202f,1.9379387702792882919312f,6.797837591730058193207f,\ +5.88365742936730384827f,9.331753817386925220490f,5.509122880175709724426f,\ +8.0405469564720988273621f,1.074489727616310119629f,7.4039250845089554786682f,\ +5.6103316973894834518433f,7.6611549546942114830017f,7.8306589089334011077881f,\ +1.4388314681127667427063f,1.6471924725919961929321f,3.1774142337962985038757f,\ +5.0265956297516822814941f,6.9204960623756051064f,7.0065794046968221664429f,\ +8.8706119870766997337341f,6.9797694869339466094971f,6.7989911558106541633606f,\ +3.6159398127347230911255f,2.6739976881071925163269f,0.7736870646476745605469f,\ +1.494100340642035007477f,3.2018390577286481857300f,2.0260545751079916954041f,\ +4.4988587312400341033936f,7.7075743721798062324524f,2.4352242145687341690063f,\ +2.1261148853227496147156f,1.0992341861128807067871f,6.9814807781949639320374f,\ +4.1509064938873052597046f,5.0298188393935561180115f,7.51160675659775733948f,\ +9.9401472182944416999817f,1.82876241393387317657f,3.021917375735938549042f,\ +3.7854864448308944702148f,7.1531985932961106300354f,9.5241537224501371383667f,\ +4.7039186349138617515564f,1.8709417246282100677490f,2.55718790460377931595f,\ +4.4350660685449838638306f,7.2340781940147280693054f,8.7619100883603096008301f,\ +0.3733208635821938514710f,4.2934664245694875717163f,3.1572330510243773460388f,\ +3.682477343827486038208f,1.4587742509320378303528f,6.7683792579919099807739f,\ +5.2619793592020869255066f,4.003625661134719848633f,0.0291080260649323463440f,\ +3.0681814532727003097534f,7.9026939114555716514587f,9.5779503695666790008545f,\ +6.6892711864784359931946f,2.9296159837394952774048f,8.2238993747159838676453f,\ +0.1798455044627189636231f,8.7107013771310448646545f,3.1810243334621191024780f,\ +5.7244732743129134178162f,5.7386581040918827056885f,3.4920182498171925544739f,\ +7.06729766912758350372f,3.5992007283493876457214f,4.0523112565279006958008f,\ +6.1408105725422501564026f,6.5240467619150876998901f,0.2951709320768713951111f,\ +5.6688958965241909027100f,7.1140170888975262641907f,4.5884906593710184097290f,\ +4.7205173922702670097351f,0.6237313523888587951660f,0.8544011274352669715881f,\ +0.1345641072839498519898f,3.5430019116029143333435f,6.7193946428596973419189f,\ +1.3606189610436558723450f,2.1197437215596437454224f} + +#define CRESULT2R {1.7718546901199148102535f,2.2873385372432406548171f,1.6228701567171754938101f,\ +2.2346263074245684698838f,1.8473969837167181218263f,2.0814403666906242662549f,\ +2.000040135761198101250f,1.930738025076279118508f,2.2955316341715112926636f,\ +2.2979125914561788768253f,1.52676863913911398107f,1.5225454413433419098567f,\ +2.2756589535249842626285f,2.0461560089912054216654f,1.10158579014350732628f,\ +1.7596676151017560663092f,1.886619744318301705732f,1.6609534913253483079387f,\ +2.0341867590624715944614f,2.1522631887405574424577f,1.5490800609419352884544f,\ +1.8243154431583954444562f,1.9046961835587756795007f,2.1880745312667504443027f,\ +1.462943224821960486182f,2.6082576924848916988253f,1.0397086540972344526068f,\ +1.5754847768676314423431f,0.746979645400304148595f,2.2287521705924668857790f,\ +1.5403790183895167409389f,2.29053332003721576982f,1.9561479629741382879615f,\ +2.056062919004959077540f,1.5124829204355532130677f,0.7957872878063905197621f,\ +1.1657936572577645151227f,2.247663310479210085902f,-0.4549625893688244437918f,\ +2.273939094117130466088f,1.7851157264602297569667f,1.705510493291471751931f,\ +1.838553591041654167171f,2.2452631537104275061267f,2.1984262619387999748710f,\ +1.858482175867823826820f,2.1354614286115483068329f,1.7449625890299069741474f,\ +0.5066316450005309279803f,2.2309587833094872699746f,1.8633839241242127204856f,\ +1.9110608576794807511590f,2.2575857867741544460216f,1.23571911173189863398f,\ +1.581562045830424700910f,2.2691047577207688057399f,1.4031989962500943658341f,\ +2.2741179432518765501925f,2.4527182982567738989133f,2.5833963585371355620168f,\ +2.2776279862384747332271f,-1.1249835300913728630690f,2.1906906716320380112961f,\ +1.8180097251363194210683f,1.440608273684235829393f,2.157337396250079031290f,\ +1.6456014738468727198750f,2.5276363856092047832647f,2.0501201476301127435420f,\ +1.9792596577711849548109f,2.325636279713856779949f,2.1018269082301319627959f,\ +2.2993946557097193483798f,1.407779382548410174181f,2.1650335217497893580685f,\ +2.3678319878208848869861f,1.8594164774388513006187f,2.56043452139564964298f,\ +1.2152594801616827258073f,1.6876273083151080989239f,1.8280452566376663714465f,\ +2.2383606348726785562064f,1.4669353168458199032642f,1.7855716392006990567154f,\ +1.9344712649878033072781f,2.1595582205209731263551f,2.3711393709457433409682f,\ +0.3451198452895575252697f,2.2295598849908442318224f,1.9730216569827605521681f,\ +1.7597572254564382010500f,1.4119056335367026200345f,2.1320313551579719302254f,\ +2.5151804905590435801344f,2.1472364706413502588589f,2.052431577045615185284f,\ +2.1940570121896025845842f,0.8387289948467516742525f,1.8945610375322186058611f,\ +1.901605848224737327357f,2.2469410116186243620007f,2.3333167208432867845147f,\ +1.8321040495156570848678f,2.3667788410376999763685f,2.345870799293293007537f,\ +1.7064766326923879180555f,2.2351179984798275057756f,1.3127927306468758494873f,\ +1.5145818637157286712380f,0.7618288453812751548355f,1.8221250086585414340590f,\ +2.3127298919002594601579f,1.9513099157402993277799f,2.2649290827240116108499f,\ +2.0646178740610454660498f,1.7857162805439725783430f,2.0523808897592226152540f,\ +2.357637781206334715023f,2.5204455223537904906550f,2.1680868421848340510394f,\ +2.08969579055791898625f,1.0187212773133276222381f,2.351321025745570558740f,\ +1.8003855797977157404688f,2.3290564194645368978343f,2.5020530275623595883872f,\ +1.6589662323678027178175f,1.1034736729371952268508f,2.0179385634489594991692f,\ +1.7529535621370035958222f,1.9548092141654069830992f,2.2757671672542376661852f,\ +2.2978225629400212959297f,2.329897705001075625120f,1.9366802551403343723990f,\ +2.0192737614105338295190f,1.5519072144028889237433f,1.9522381258437428996899f,\ +2.228825942499146339770f,1.3459088341323246496017f,1.2160693133443531976923f,\ +1.708519320712721833999f,2.042657041378174831436f,2.0363649964518035773153f,\ +0.9638512795498686003270f,0.9551846741593900125267f,1.951137961258366582129f,\ +2.107724763084950492242f,2.1435395035941335883933f,2.30219731892690226971f,\ +2.3129821080069814520641f,1.4613961122338947618005f,1.2276638750511146280786f,\ +1.98774702803650615834f,2.2599263943254159769936f,2.3454288218721179859472f,\ +1.5736974684351636710744f,1.1082826047896976451312f,2.2826248447267389884985f,\ +1.852079302129498561413f,2.4440219801181322090144f,2.2846216839061130876587f,\ +2.0916390604994830049179f,2.0880185293365247645170f,1.1554676622252344486697f,\ +1.4781743340729813773748f,2.2621227047071905680298f,1.9617338719614783038026f,\ +2.0915485321054503309313f,2.222172100020261886755f,2.0456349034700243016971f,\ +1.6557620395745074048932f,2.3732960033711649749932f,2.4784302018604411621538f,\ +2.1043456955600268187823f,2.2908052004546388680239f,2.1225525715426596384816f,\ +-0.3059820602804464440006f,2.398801697565509982724f,1.9837316998415748248163f,\ +1.8021669050328577021958f,2.1177911026101683411582f,1.3800624471185749531088f,\ +2.0182134290564768264176f,1.3170274339145702224840f,1.4108532825842892144408f,\ +1.817110834423457665920f,2.2890298175330245911141f,1.8196542505912531861867f,\ +2.1619335403208914669904f,2.0209326327770549269758f,1.7893311710629888899859f,\ +1.8641960608110765829082f,1.882576152038281991352f,1.7816883851861540222217f,\ +1.7954751269073565556056f,1.2730999018963571334240f,1.9486466131391497746961f,\ +2.074605067637334876451f,1.2189909546635331327735f} + +#define CRESULT2I {0.8408843669071919268987f,1.0754371807248737091811f,0.8455094310786673839075f,\ +0.962808271271232585242f,1.2435335418309885202603f,1.371120256581034091425f,\ +1.5461888319559713433904f,0.9342369007616236897817f,1.56013775123029430070f,\ +1.3720388608498168547811f,0.9371355532144381994542f,0.7228179279461685036168f,\ +1.360325287393417292847f,1.1709945644102059958414f,0.4074578726347549695319f,\ +1.0393742565506918218432f,0.5221182542768327827787f,1.1517977305599864656926f,\ +0.4467977216337457035955f,0.8222975857540034683169f,0.4665224019878621564139f,\ +0.8091797065019556978172f,1.0768746352304479074746f,0.8683388375483406251831f,\ +0.1720341159830799382391f,0.7682977019562435838651f,0.4721387487057847609506f,\ +0.4309811115589534114001f,1.20279143843462255070f,1.2916347740244560338141f,\ +1.4265839008392693365579f,0.6850460436644268957807f,1.5117462274209296779759f,\ +1.1152532149987959275705f,1.1217014706271768442747f,0.2911766403909815670303f,\ +0.2063546073155473614680f,0.5982511040925977408023f,0.5499105526382754849379f,\ +0.3309697617869979402450f,0.6882370204600587459964f,0.9959451809388051302108f,\ +1.5661574844082004620560f,0.3097639368523368297304f,0.3740022155825183380884f,\ +0.8268049495959598482742f,0.407572856709710940049f,1.3246230944084764757918f,\ +0.8047604843662868878695f,0.9578156211088914018248f,0.8379992820836518196970f,\ +0.4298072736875270249968f,0.2516111351341220880862f,1.2777930133692467773443f,\ +0.4942674920588698839197f,0.2227403824735175175142f,1.4902323819071812138759f,\ +0.3241206854947055737704f,0.6212066791677098853697f,0.8227777158663325263177f,\ +0.5918914368525474145599f,0.6824004867135488039409f,1.5685992315253338702519f,\ +0.602441091725517741118f,0.2648167750385964080984f,0.2361574036342227733698f,\ +0.2544057494452062195833f,0.7540670573431564882583f,0.9631160038064509043565f,\ +0.5974222702744066415548f,0.7127866343417466055143f,0.2523427003112133637508f,\ +0.9857721947818851582213f,0.0298961055939373325507f,0.5949566736712420533806f,\ +1.1076852186579833059454f,0.0916284996635063769821f,0.6920814866116709040966f,\ +1.0847494758718594365376f,0.1439797822740493671301f,1.2215400197911927548944f,\ +0.9319943094964961982640f,0.1195740768674621451462f,1.5325419323859537090726f,\ +0.5871287736405550461427f,0.6008795873685909283424f,0.5147800680430554276512f,\ +0.5096442477271476700906f,1.2574287319730830247977f,1.55344381002968989769f,\ +0.1197588579388608048815f,0.2845949117488152935174f,0.6146775806026560928785f,\ +0.6690416852557365956f,0.1030338183393550155476f,1.1198962694059428901738f,\ +0.2110181909408466172096f,1.0597850788835401214527f,0.6573038229366630069706f,\ +0.6582686240328038396186f,0.1881909924839933190288f,0.3270668956957688000564f,\ +0.0830914673081940696742f,0.3996821407672082604456f,0.763608851537480148863f,\ +0.1410651270101331844487f,0.677001919140020169685f,1.5027782434779339837405f,\ +0.4840122714003086690227f,1.0939971143713191903402f,1.1354027775868176242113f,\ +1.2025671422981056846169f,1.3200023979900399329068f,0.2878762084297626921980f,\ +0.2659639364881328793544f,0.3309563133803885004447f,1.0613976119428301103653f,\ +0.5905886949329369750572f,0.84881047253311037171f,0.6818405058224251691357f,\ +1.4689172047242584628890f,0.3984077871527766379067f,0.7826684691736193189016f,\ +1.1863976071520063726439f,0.8421875864316380466690f,0.6964016273061860440308f,\ +0.2774051332309265816001f,0.5780614975169666713839f,0.4360596809152573194446f,\ +1.0570616474517706695480f,1.3698760574306645398934f,0.8033735187122362786383f,\ +1.100195299896877587642f,0.7466330742895204153342f,1.3719281224888897341430f,\ +0.5006805450256617273652f,0.6022149721715611692119f,0.1100515320096066840261f,\ +0.1615487638997855912582f,0.9853189831543425203364f,0.6441365190650450989196f,\ +0.9525486295501676137221f,1.540681786544560338825f,0.3234105928346787672822f,\ +0.9457654725170446807780f,0.4366658824494836776964f,1.4454467286135332937391f,\ +0.5286797419321711544171f,0.6306769685466229180548f,0.8502600566998695930110f,\ +1.3901817278534140953639f,0.4379816003966337523146f,1.0872460520812594619855f,\ +0.5452429334871597976786f,0.8427783441184910628863f,1.1492861648773524674283f,\ +1.346792368827264718689f,0.665745289338786183642f,0.2639277343938546960267f,\ +0.7696845111061191291313f,0.6789773815510785626159f,1.1019111077295657974418f,\ +0.0461157104075398602272f,0.5610787453255564605215f,1.4634600366382779501606f,\ +0.9969191986962234741654f,0.1524913254966685227654f,1.2588290814744897971877f,\ +0.7073635046287626293449f,0.4488022872724745648831f,0.0037636205385015429094f,\ +0.6259389684526723840463f,0.8276134607557569244918f,0.9328971084913546540918f,\ +0.9537519653655091023126f,0.3009556732582234217510f,1.3951370123387065724785f,\ +0.2467179687642131191705f,0.9127106501576134345299f,0.4528896475979662383793f,\ +1.2351598243895067774645f,0.7619639996129009551495f,1.0726338584530288322583f,\ +1.220269965181696392165f,1.3029226301867964377124f,1.4189980227900089726489f,\ +1.5051832236136615250643f,0.7225617055791342391302f,0.0478600995604049964105f,\ +0.710883123025403795836f,1.2310328539390928970221f,0.8735414139313334436210f,\ +0.8209275679220129351421f,0.0950735258592600440686f,0.1443422571457730618771f,\ +0.0223460331642115414552f,1.443489200421151252840f,1.2774801572114198311425f,\ +0.1717450012966928174496f,0.6769828145758884918593f} + + +/* in is between 0 and 1 + in2 is between 0 and 10 */ + + +/* FIXME : Tests à 10^-4 cf testFloatLog.c */ + +void slog1psTest(void) { + float in[]=SOURCE; + float res[]=RESULT; + float out; + float in2[]=SOURCE2; + float res2[]=RESULT2; + int i; + + for (i=0;i<200;i++){ + out=slog1ps(in[i]-1); + assert(( (fabs(out-res[i]))/(fabs(out)) )<3e-5); + } + + for (i=0;i<200;i++){ + out=slog1ps(in2[i]-1); + assert(( (fabs(out-res2[i]))/(fabs(out)) )<3e-4); + } +} + +void clog1psTest(void) { + float inR[]=CSOURCER; + float inI[]=CSOURCEI; + float resR[]=CRESULTR; + float resI[]=CRESULTI; + float in2R[]=CSOURCE2R; + float in2I[]=CSOURCE2I; + float res2R[]=CRESULT2R; + float res2I[]=CRESULT2I; + floatComplex in,in2,out; + int i; + + for (i=0;i<200;i++){ + in=FloatComplex(inR[i]-1,inI[i]); + out=clog1ps(in); + assert(( (fabs(creals(out)-resR[i]))/(fabs(creals(out))) )<3e-5); + assert(( (fabs(cimags(out)-resI[i]))/(fabs(cimags(out))) )<1e-6); + } + + for (i=0;i<200;i++){ + in2=FloatComplex(in2R[i]-1,in2I[i]); + out=clog1ps(in2); + assert(( (fabs(creals(out)-res2R[i]))/(fabs(creals(out))) )<1e-6); + assert(( (fabs(cimags(out)-res2I[i]))/(fabs(cimags(out))) )<1e-6); + } +} + +void slog1paTest(void) { + float in[]=SOURCE; + float res[]=RESULT; + float out[200]; + float in2[]=SOURCE2; + float res2[]=RESULT2; + int i; + + for (i=0;i<200;i++){ + in[i]=in[i]-1; + in2[i]=in2[i]-1; + } + + slog1pa(in,200,out); + for (i=0;i<200;i++){ + assert(( (fabs(out[i]-res[i]))/(fabs(out[i])) )<3e-5); + } + + slog1pa(in2,200,out); + for (i=0;i<200;i++){ + assert(( (fabs(out[i]-res2[i]))/(fabs(out[i])) )<3e-4); + } +} + +void clog1paTest(void) { + float inR[]=CSOURCER; + float inI[]=CSOURCEI; + float resR[]=CRESULTR; + float resI[]=CRESULTI; + float in2R[]=CSOURCE2R; + float in2I[]=CSOURCE2I; + float res2R[]=CRESULT2R; + float res2I[]=CRESULT2I; + floatComplex *in,*in2,out[200]; + int i; + + for (i=0;i<200;i++){ + inR[i]=inR[i]-1; + in2R[i]=in2R[i]-1; + } + + in=FloatComplexMatrix(inR,inI,200); + clog1pa(in,200,out); + + for (i=0;i<200;i++){ + assert(( (fabs(creals(out[i])-resR[i]))/(fabs(creals(out[i]))) )<3e-5); + assert(( (fabs(cimags(out[i])-resI[i]))/(fabs(cimags(out[i]))) )<1e-6); + } + + + in2=FloatComplexMatrix(in2R,in2I,200); + clog1pa(in2,200,out); + + for (i=0;i<200;i++){ + assert(( (fabs(creals(out[i])-res2R[i]))/(fabs(creals(out[i]))) )<1e-6); + assert(( (fabs(cimags(out[i])-res2I[i]))/(fabs(cimags(out[i]))) )<1e-6); + } +} + + +int testLog1p(void) { + printf("\n>>>> Float Logarithm 1+x Tests\n"); + slog1psTest(); + clog1psTest(); + slog1paTest(); + clog1paTest(); + return 0; +} + +int main(void) { + assert(testLog1p() == 0); + return 0; +} diff --git a/2.3-1/src/c/elementaryFunctions/log1p/testLog1p.h b/2.3-1/src/c/elementaryFunctions/log1p/testLog1p.h new file mode 100644 index 00000000..e9f613aa --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/log1p/testLog1p.h @@ -0,0 +1,38 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#ifndef _TESTLOG1P_H_ +#define _TESTLOG1P_H_ + +#include <stdio.h> +#include <assert.h> +#include "log1p.h" + +void slog1psTest(void); + +void dlog1psTest(void); + +void clog1psTest(void); + +void zlog1psTest(void); + +void slog1paTest(void); + +void dlog1paTest(void); + +void clog1paTest(void); + +void zlog1paTest(void); + +int testLog1p(void); + +#endif /* ! _TESTLOG1P_H_ */ diff --git a/2.3-1/src/c/elementaryFunctions/log1p/zlog1pa.c b/2.3-1/src/c/elementaryFunctions/log1p/zlog1pa.c new file mode 100644 index 00000000..0b6b35ae --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/log1p/zlog1pa.c @@ -0,0 +1,20 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "log1p.h" + +void zlog1pa(doubleComplex* in, int size, doubleComplex* out) { + int i = 0; + for (i = 0; i < size; ++i) { + out[i] = zlog1ps(in[i]); + } +} diff --git a/2.3-1/src/c/elementaryFunctions/log1p/zlog1ps.c b/2.3-1/src/c/elementaryFunctions/log1p/zlog1ps.c new file mode 100644 index 00000000..8b0aeb67 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/log1p/zlog1ps.c @@ -0,0 +1,18 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "log.h" +#include "log1p.h" + +doubleComplex zlog1ps(doubleComplex in) { + return zlogs(DoubleComplex(zreals(in) + 1, zimags(in))); +} diff --git a/2.3-1/src/c/elementaryFunctions/pow/Makefile.am b/2.3-1/src/c/elementaryFunctions/pow/Makefile.am new file mode 100644 index 00000000..9b564f92 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/pow/Makefile.am @@ -0,0 +1,71 @@ +## +## Scilab ( http://www.scilab.org/ ) - This file is part of Scilab +## Copyright (C) 2008-2008 - INRIA - Bruno JOFRET +## +## This file must be used under the terms of the CeCILL. +## This source file is licensed as described in the file COPYING, which +## you should have received as part of this distribution. The terms +## are also available at +## http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt +## +## + +libPow_la_CFLAGS = -I $(top_builddir)/src/c/type \ + -I $(top_builddir)/src/c/operations/includes \ + -I $(top_builddir)/src/c/elementaryFunctions/includes + +instdir = $(top_builddir)/lib + +pkglib_LTLIBRARIES = libPow.la + +libPow_la_SOURCES = $(HEAD) $(SRC) + +SRC = spows.c \ + dpows.c \ + cpows.c \ + zpows.c \ + spowa.c \ + dpowa.c \ + cpowa.c \ + zpowa.c + +HEAD = ../includes/pow.h + +#### +# Checking Part +#### + +check_INCLUDES = -I $(top_builddir)/src/c/elementaryFunctions/includes \ + -I $(top_builddir)/src/c/operations/includes \ + -I $(top_builddir)/src/c/type + +check_LDADD = $(top_builddir)/src/fortran/lapack/libscilapack.la \ + $(top_builddir)/src/c/type/libDoubleComplex.la \ + $(top_builddir)/src/c/type/libFloatComplex.la \ + $(top_builddir)/src/c/elementaryFunctions/pow/libPow.la \ + $(top_builddir)/src/c/elementaryFunctions/exp/libExp.la \ + 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"s|^$$topsrcdirstrip/|$(top_builddir)/|;t"`; \ + case $$dist_files in \ + */*) $(MKDIR_P) `echo "$$dist_files" | \ + sed '/\//!d;s|^|$(distdir)/|;s,/[^/]*$$,,' | \ + sort -u` ;; \ + esac; \ + for file in $$dist_files; do \ + if test -f $$file || test -d $$file; then d=.; else d=$(srcdir); fi; \ + if test -d $$d/$$file; then \ + dir=`echo "/$$file" | sed -e 's,/[^/]*$$,,'`; \ + if test -d "$(distdir)/$$file"; then \ + find "$(distdir)/$$file" -type d ! -perm -700 -exec chmod u+rwx {} \;; \ + fi; \ + if test -d $(srcdir)/$$file && test $$d != $(srcdir); then \ + cp -fpR $(srcdir)/$$file "$(distdir)$$dir" || exit 1; \ + find "$(distdir)/$$file" -type d ! -perm -700 -exec chmod u+rwx {} \;; \ + fi; \ + cp -fpR $$d/$$file "$(distdir)$$dir" || exit 1; \ + else \ + test -f "$(distdir)/$$file" \ + || cp -p $$d/$$file "$(distdir)/$$file" \ + || exit 1; \ + fi; \ + done +check-am: all-am + $(MAKE) $(AM_MAKEFLAGS) $(check_PROGRAMS) + $(MAKE) $(AM_MAKEFLAGS) check-TESTS +check: check-am +all-am: Makefile $(LTLIBRARIES) +installdirs: + for dir in "$(DESTDIR)$(pkglibdir)"; do \ + test -z "$$dir" || $(MKDIR_P) "$$dir"; \ + done +install: install-am +install-exec: install-exec-am +install-data: install-data-am +uninstall: uninstall-am + +install-am: all-am + @$(MAKE) $(AM_MAKEFLAGS) install-exec-am install-data-am + +installcheck: installcheck-am +install-strip: + $(MAKE) $(AM_MAKEFLAGS) INSTALL_PROGRAM="$(INSTALL_STRIP_PROGRAM)" \ + install_sh_PROGRAM="$(INSTALL_STRIP_PROGRAM)" INSTALL_STRIP_FLAG=-s \ + `test -z '$(STRIP)' || \ + echo "INSTALL_PROGRAM_ENV=STRIPPROG='$(STRIP)'"` install +mostlyclean-generic: + +clean-generic: + +distclean-generic: + -test -z "$(CONFIG_CLEAN_FILES)" || rm -f $(CONFIG_CLEAN_FILES) + -test . = "$(srcdir)" || test -z "$(CONFIG_CLEAN_VPATH_FILES)" || rm -f $(CONFIG_CLEAN_VPATH_FILES) + +maintainer-clean-generic: + @echo "This command is intended for maintainers to use" + @echo "it deletes files that may require special tools to rebuild." +clean: clean-am + +clean-am: clean-checkPROGRAMS clean-generic clean-libtool \ + clean-pkglibLTLIBRARIES mostlyclean-am + +distclean: distclean-am + -rm -rf ./$(DEPDIR) + -rm -f Makefile +distclean-am: clean-am distclean-compile distclean-generic \ + distclean-tags + +dvi: dvi-am + +dvi-am: + +html: html-am + +html-am: + +info: info-am + +info-am: + +install-data-am: + +install-dvi: install-dvi-am + +install-dvi-am: + +install-exec-am: install-pkglibLTLIBRARIES + +install-html: install-html-am + +install-html-am: + +install-info: install-info-am + +install-info-am: + +install-man: + +install-pdf: install-pdf-am + +install-pdf-am: + +install-ps: install-ps-am + +install-ps-am: + +installcheck-am: + +maintainer-clean: maintainer-clean-am + -rm -rf ./$(DEPDIR) + -rm -f Makefile +maintainer-clean-am: distclean-am maintainer-clean-generic + +mostlyclean: mostlyclean-am + +mostlyclean-am: mostlyclean-compile mostlyclean-generic \ + mostlyclean-libtool + +pdf: pdf-am + +pdf-am: + +ps: ps-am + +ps-am: + +uninstall-am: uninstall-pkglibLTLIBRARIES + +.MAKE: check-am install-am install-strip + +.PHONY: CTAGS GTAGS all all-am check check-TESTS check-am clean \ + clean-checkPROGRAMS clean-generic clean-libtool \ + clean-pkglibLTLIBRARIES ctags distclean distclean-compile \ + distclean-generic distclean-libtool distclean-tags distdir dvi \ + dvi-am html html-am info info-am install install-am \ + install-data install-data-am install-dvi install-dvi-am \ + install-exec install-exec-am install-html install-html-am \ + install-info install-info-am install-man install-pdf \ + install-pdf-am install-pkglibLTLIBRARIES install-ps \ + install-ps-am install-strip installcheck installcheck-am \ + installdirs maintainer-clean maintainer-clean-generic \ + mostlyclean mostlyclean-compile mostlyclean-generic \ + mostlyclean-libtool pdf pdf-am ps ps-am tags uninstall \ + uninstall-am uninstall-pkglibLTLIBRARIES + + +# Tell versions [3.59,3.63) of GNU make to not export all variables. +# Otherwise a system limit (for SysV at least) may be exceeded. +.NOEXPORT: diff --git a/2.3-1/src/c/elementaryFunctions/pow/cpowa.c b/2.3-1/src/c/elementaryFunctions/pow/cpowa.c new file mode 100644 index 00000000..c5a87327 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/pow/cpowa.c @@ -0,0 +1,25 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "pow.h" + +void cpowa(floatComplex* x, int size, floatComplex* power, floatComplex *out) { + /* + Computes Scilab x.^power + Computes power element by element + x and power must have same size + */ + int i = 0; + for (i = 0; i < size; ++i) { + out[i] = cpows(x[i], power[i]); + } +} diff --git a/2.3-1/src/c/elementaryFunctions/pow/cpows.c b/2.3-1/src/c/elementaryFunctions/pow/cpows.c new file mode 100644 index 00000000..5848c4b5 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/pow/cpows.c @@ -0,0 +1,28 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "pow.h" +#include "exp.h" +#include "log.h" + +floatComplex cpows(floatComplex z, floatComplex power) { + /*Cas z=0 */ + if ( (creals(z)==0) && (cimags(z)==0) ){ + /* Cas 0^0 */ + if ( (creals(power)==0) && (cimags(power)==0) ) return FloatComplex(1,0); + /* Cas 0^x, x!=0 */ + return FloatComplex(0,0); + } + + /* Cas z!=0 */ + return cexps(cmuls(clogs(z), power)); +} diff --git a/2.3-1/src/c/elementaryFunctions/pow/dpowa.c b/2.3-1/src/c/elementaryFunctions/pow/dpowa.c new file mode 100644 index 00000000..64e0ca9e --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/pow/dpowa.c @@ -0,0 +1,25 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "pow.h" + +void dpowa(double* x, int size, double* power, double *out) { + /* + Computes Scilab x.^power + Computes power element by element + x and power must have same size + */ + int i = 0; + for (i = 0; i < size; ++i) { + out[i] = dpows(x[i], power[i]); + } +} diff --git a/2.3-1/src/c/elementaryFunctions/pow/dpows.c b/2.3-1/src/c/elementaryFunctions/pow/dpows.c new file mode 100644 index 00000000..c291bf71 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/pow/dpows.c @@ -0,0 +1,18 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include <math.h> +#include "pow.h" + +double dpows(double x, double p) { + return pow(x, p); +} diff --git a/2.3-1/src/c/elementaryFunctions/pow/spowa.c b/2.3-1/src/c/elementaryFunctions/pow/spowa.c new file mode 100644 index 00000000..3ff43ecf --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/pow/spowa.c @@ -0,0 +1,25 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "pow.h" + +void spowa(float* x, int size, float* y, float *out) { + /* + Computes Scilab x.^power + Computes power element by element + x and power must have same size + */ + int i = 0; + for (i = 0; i < size; ++i) { + out[i] = spows(x[i], y[i]); + } +} diff --git a/2.3-1/src/c/elementaryFunctions/pow/spows.c b/2.3-1/src/c/elementaryFunctions/pow/spows.c new file mode 100644 index 00000000..b218763e --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/pow/spows.c @@ -0,0 +1,18 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include <math.h> +#include "pow.h" + +float spows(float x, float p) { + return powf(x, p); +} diff --git a/2.3-1/src/c/elementaryFunctions/pow/testDoublePow.c b/2.3-1/src/c/elementaryFunctions/pow/testDoublePow.c new file mode 100644 index 00000000..5d0e9389 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/pow/testDoublePow.c @@ -0,0 +1,519 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008 - INRIA - Arnaud TORSET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "testPow.h" + +#define SOURCE {0.4672355107031762599945,0.9742379654198884963989,0.6003209394402801990509,\ +0.8107941793277859687805,0.8507457631640136241913,0.2203239351511001586914,\ +0.9582479097880423069000,0.0577683029696345329285,0.6003680988214910030365,\ +0.0178048145025968551636,0.878713116515427827835,0.9244096884503960609436,\ +0.1339239249937236309052,0.4019813351333141326904,0.9738700897432863712311,\ +0.5752419373020529747009,0.6085763848386704921722,0.5994307789951562881470,\ +0.2787468102760612964630,0.7734748693183064460754,0.1174856307916343212128,\ +0.6118692830204963684082,0.5719244205392897129059,0.4209215147420763969421,\ +0.9079484730027616024017,0.5168110188096761703491,0.7020753105171024799347,\ +0.1115869814530014991760,0.9647724027745425701141,0.9537742473185062408447,\ +0.0141105786897242069244,0.9176791971549391746521,0.8026339909993112087250,\ +0.7647842485457658767700,0.4686868679709732532501,0.1267915265634655952454,\ +0.8111716615967452526093,0.2579231262207031250000,0.5488225766457617282867,\ +0.1490072635933756828308,0.9965628399513661861420,0.0626764874905347824097,\ +0.5473734443075954914093,0.3126759985461831092835,0.4633354763500392436981,\ +0.0458269976079463958740,0.3291175127960741519928,0.7676118602976202964783,\ +0.4801639444194734096527,0.2566448096185922622681,0.1611994621343910694122,\ +0.2144636334851384162903,0.4733993145637214183807,0.370124869048595428467,\ +0.7056843214668333530426,0.6790067506954073905945,0.7920840024016797542572,\ +0.5970210935920476913452,0.7679705549962818622589,0.0501071596518158912659,\ +0.5882007922045886516571,0.5294274277985095977783,0.8948125229217112064362,\ +0.6001070654019713401794,0.6559062353335320949554,0.89065577276051044464,\ +0.4157023173756897449493,0.2063825475051999092102,0.5734984236769378185272,\ +0.6581607908010482788086,0.0213609733618795871735,0.4928230522200465202332,\ +0.9918691380880773067474,0.5282615851610898971558,0.4730890546925365924835,\ +0.6099827596917748451233,0.4131903718225657939911,0.1914102546870708465576,\ +0.5367266149260103702545,0.8726538261398673057556,0.3035852289758622646332,\ +0.3867573235183954238892,0.7349725333042442798615,0.9736115010455250740051,\ +0.8835331979207694530487,0.2047640457749366760254,0.0118132256902754306793,\ +0.9922811193391680717468,0.4397597997449338436127,0.6066115852445363998413,\ +0.9028107305057346820831,0.9170769685879349708557,0.5023606116883456707001,\ +0.6291570700705051422119,0.3050001696683466434479,0.9001630311831831932,\ +0.7309096655808389186859,0.2441865224391222000122,0.4401465845294296741486,\ +0.9633856015279889106751,0.8533022212795913219452,0.3407146632671356201172,\ +0.1051111468113958835602,0.3741277782246470451355,0.5010819151066243648529,\ +0.7990815918892621994019,0.8030767445452511310577,0.4098358312621712684631,\ +0.2850022832863032817841,0.1255963407456874847412,0.8493829430080950260162,\ +0.7299674442037940025330,0.9545726603828370571137,0.6164773050695657730103,\ +0.0457203206606209278107,0.0741118313744664192200,0.9853384527377784252167,\ +0.5198395475745201110840,0.0164341800846159458160,0.505031730048358440399,\ +0.4376457869075238704681,0.1644789781421422958374,0.8006876339204609394074,\ +0.9153772676363587379456,0.4306405331008136272430,0.5242034085094928741455,\ +0.7942340658046305179596,0.0168217038735747337341,0.0752517036162316799164,\ +0.186460481956601142883,0.6345489663071930408478,0.5303690480068325996399,\ +0.2099092262797057628632,0.1940124779939651489258,0.1230711438693106174469,\ +0.7965835509821772575378,0.7827460928820073604584,0.7284079920500516891480,\ +0.7783033107407391071320,0.5244910726323723793030,0.2240348826162517070770,\ +0.10400049015879631042,0.1135220439173281192780,0.8979023238644003868103,\ +0.6526086605153977870941,0.0412637386471033096313,0.2328471210785210132599,\ +0.7579079838469624519348,0.2600162508897483348846,0.6881541088223457336426,\ +0.8394202315248548984528,0.0802956921979784965515,0.7161618857644498348236,\ +0.3582697566598653793335,0.2494430621154606342316,0.4666389161720871925354,\ +0.9401792283169925212860,0.4545566774904727935791,0.5058247582055628299713,\ +0.8678076928481459617615,0.0802897713147103786469,0.5473116356879472732544,\ +0.1851887595839798450470,0.258651246316730976105,0.0463956105522811412811,\ +0.0752319693565368652344,0.9919890114106237888336,0.4826024798676371574402,\ +0.4391565932892262935638,0.6382622700184583663940,0.7334855501540005207062,\ +0.9849543431773781776428,0.2193018416874110698700,0.3509879373013973236084,\ +0.7693294645287096500397,0.6535580744966864585877,0.9609256512485444545746,\ +0.2253256086260080337524,0.5295072314329445362091,0.4856933178380131721497,\ +0.0325177642516791820526,0.0512604638934135437012,0.1943944268859922885895,\ +0.2998601151630282402039,0.549478018190711736679,0.7443804051727056503296,\ +0.1306688119657337665558,0.2112427735701203346252,0.4418653692118823528290,\ +0.6289571113884449005127,0.1768327937461435794830,0.0895956074818968772888,\ +0.481131290551275014877,0.6253239680081605911255,0.3720952612347900867462,\ +0.7183005558326840400696,0.6095875459723174571991,0.8103008717298507690430,\ +0.2223627963103353977203,0.8733466742560267448425} + +#define EXPAND 0.4163583382032811641693 + +#define RESULT {0.7284646681346131913415,0.989192008106873243989,0.8085895400964338008976,\ +0.9163769951101256028281,0.9349137762043832067249,0.5326945489743132311489,\ +0.9823995642201152067585,0.305083797583213633953,0.8086159867079506513576,\ +0.1868945690068203879797,0.9475895783496315338823,0.9678039608420992978566,\ +0.4329723055503270634503,0.68423899539773069822,0.9890364718108022312748,\ +0.7943497624629932696294,0.8132007898688196068093,0.808090117466149226999,\ +0.5875008761072864071906,0.8985735866087510848033,0.4099967340694569695181,\ +0.8150299171646913087841,0.7924391432248698574625,0.6974820008616173794280,\ +0.9605908201300753512797,0.7597020352483303540225,0.8630591732121281056678,\ +0.4012970358491440014959,0.9851790447321197019548,0.9804873634101264334717,\ +0.1696475368521674076394,0.9648638597435894581622,0.9125256586220036325585,\ +0.8943560812692227246501,0.7294059529194845126199,0.4232180082272890553341,\ +0.916554605507083564042,0.5688124226892673496181,0.7789513375488348323472,\ +0.4526453084551937400271,0.9985674717102872577357,0.3156199821647662773216,\ +0.7780943221002011300769,0.6162804684283178513482,0.7259267967438961521864,\ +0.2770427140579521108066,0.6295715021115366738513,0.8957313597799472226768,\ +0.7367902678841352637207,0.5676369465830355398595,0.4677127626898579526582,\ +0.5267487587241619362288,0.7324505569224598611200,0.6611168125785117366533,\ +0.8649036030014317644188,0.8511368159883252459963,0.9075123889490784856449,\ +0.8067359928657767964566,0.8959056083070979781269,0.2875361378747636753595,\ +0.8017520221011086301033,0.7673694529244873274720,0.9547798347087154136048,\ +0.8084695859896496861197,0.8389586175592145256275,0.9529306420557314138975,\ +0.6938680535086353406982,0.5183921020261006429308,0.793346444899387437388,\ +0.8401580945174779158080,0.2016154416018380302056,0.7448165896518380568736,\ +0.9966065805762621687691,0.7666654335848160917166,0.732250650546897197124,\ +0.8139827028709292200404,0.6921192559761130125295,0.5023891186631103122906,\ +0.7717567966494431885849,0.9448634993544591242909,0.6087559602629232236026,\ +0.6733278820109139806149,0.8796721878469864197569,0.9889271210673219458798,\ +0.9497503111327298963573,0.5166955674002130516342,0.157548601510365510192,\ +0.9967789108028516364968,0.7103130756882061191959,0.812106637266760356120,\ +0.9583239035572395092544,0.9646001738095134614426,0.7507845794857243015841,\ +0.8245398795703052785555,0.6099356789350187657561,0.9571527235790283638650,\ +0.8776442633914852686772,0.5559974763067492276036,0.7105731272697249911730,\ +0.9845891777882239681574,0.9360824607784468120997,0.6387148606873016554175,\ +0.3914310831295715331635,0.6640844299927105565118,0.7499883148290458212415,\ +0.9108419054310594731305,0.9127352082795270327154,0.6897741461687679764836,\ +0.5929547610295462511942,0.4215523895030350853830,0.934289925422809419686,\ +0.8771730273596389793056,0.9808290164206334704744,0.8175799454103661600968,\ +0.2767740197567316595695,0.3384295343168625125330,0.9938692202734674685516,\ +0.7615524516687232070566,0.1807639486854548671602,0.7524441192146538170960,\ +0.7088893722374375316875,0.4716512920271773157133,0.9116036713239157318611,\ +0.9638554137274480959619,0.7041427136462521385596,0.7642077184686376645217,\ +0.9085372292434992225196,0.1825266043999770881889,0.3405871110552653457937,\ +0.4969386012149143438954,0.8274746814049287468862,0.7679374104413381196821,\ +0.5220621091101612654128,0.5052216371459599120186,0.4180025804993992566416,\ +0.9096552753365539922825,0.9030424754444578150370,0.8763923131750169792653,\ +0.9009048556663895590546,0.7643822986790410611846,0.5364120201901159123992,\ +0.3897036620350837199389,0.4041799474476096554199,0.956151132910635803697,\ +0.8371998878550279687971,0.2652042210750701900501,0.5450981151899623178281,\ +0.8909992090057128333314,0.5707298363723116718660,0.8558922439179788010932,\ +0.9297114995403523707296,0.3499125215193959470561,0.8702273048082653783553,\ +0.6522163450193463329896,0.560949837269416606844,0.7280772489811332404130,\ +0.9746440403672457231110,0.7201681760891580630357,0.7529358332138126330690,\ +0.9426752591053616514571,0.3499017784013320198078,0.7780577391146925592125,\ +0.4955246248432562672370,0.5694804460964003611778,0.2784687951398606142739,\ +0.3405499204525159195889,0.9966567274503397300123,0.7383459049553654507392,\ +0.7099072481980015503211,0.8294873733988427089159,0.8789307415943956591775,\ +0.9937078900984196438984,0.5316642496139925011534,0.6466638927283177018524,\ +0.8965653157624376978774,0.8377067792805890089625,0.9835416334061796161947,\ +0.5376965838311716927578,0.7674176109757441244241,0.7403110930323951732746,\ +0.2401646248105218373059,0.2902733727718892486891,0.5056355181408417331923,\ +0.6056346866145997376307,0.7793385312672220788244,0.8843430174683920563794,\ +0.4285591961287324447305,0.5234404705944887270519,0.7117271278107557552772,\ +0.8244307605644806136169,0.4860897924292185146022,0.3662484869284197697148,\ +0.7374079263129095229701,0.8224445894290783876102,0.6625799211503411445534,\ +0.8713083765590698970271,0.8137630792596124429394,0.9161448146036499373679,\ +0.5347414781155725993500,0.9451757704519925251674} + +#define ZSOURCER {0.6045256052166223526001,0.9455216196365654468536,0.4476299257948994636536,\ +0.8624908211641013622284,0.1751048639416694641113,0.2067177616991102695465,\ +0.6848411662504076957703,0.1348653226159512996674,0.0069159921258687973022,\ +0.1496290047653019428253,0.5665438110008835792542,0.4359452719800174236298,\ +0.6547604538500308990479,0.3381605879403650760651,0.4259321158751845359802,\ +0.3060420057736337184906,0.7704779822379350662231,0.7058695447631180286408,\ +0.2373670237138867378235,0.8205849635414779186249,0.6789963841438293457031,\ +0.5250809141434729099274,0.3359806565567851066589,0.8941988362930715084076,\ +0.5461782198399305343628,0.7568633262999355792999,0.0259526828303933143616,\ +0.3250150899402797222138,0.6072143577039241791,0.8756139636971056461334,\ +0.2962085595354437828064,0.4229678637348115444183,0.4243144039064645767212,\ +0.7620028969831764698029,0.3622896494343876838684,0.5658242437057197093964,\ +0.6424440070986747741699,0.7580267959274351596832,0.2531452132388949394226,\ +0.5266989110969007015228,0.2118590380996465682983,0.4779220153577625751495,\ +0.1615962767973542213440,0.9168031658045947551727,0.5461866445839405059815,\ +0.4686870560981333255768,0.7772213732823729515076,0.5871783248148858547211,\ +0.5848031807690858840942,0.3139644009061157703400,0.3204141603782773017883,\ +0.3331634956412017345429,0.2282590121030807495117,0.2750317254103720188141,\ +0.4963629124686121940613,0.7453477247618138790131,0.1155001949518918991089,\ +0.0626524840481579303741,0.0877018878236413002014,0.5507565210573375225067,\ +0.2116370312869548797607,0.8335358710028231143951,0.4045845707878470420837,\ +0.2880227542482316493988,0.1750094983726739883423,0.0051561561413109302521,\ +0.3109287889674305915833,0.6602919283322989940643,0.9722995534539222717285,\ +0.9826813959516584873200,0.0455837054178118705750,0.4096118300221860408783,\ +0.7104403134435415267944,0.3917615194804966449738,0.5571686858311295509338,\ +0.0565565521828830242157,0.1540721096098423004150,0.9109257892705500125885,\ +0.5713340407237410545349,0.3488348922692239284515,0.8972954172641038894653,\ +0.2973396372981369495392,0.1091936426237225532532,0.7626331257633864879608,\ +0.6584706604480743408203,0.6996708759106695652008,0.6756794182583689689636,\ +0.9004421546123921871185,0.6668148916214704513550,0.8518152837641537189484,\ +0.8365677157416939735413,0.1291190306656062602997,0.6095453463494777679443,\ +0.2412315667606890201569,0.4029275467619299888611,0.3019328541122376918793,\ +0.1083198729902505874634,0.8456356939859688282013,0.9417407037690281867981,\ +0.9083450469188392162323,0.1937242373824119567871,0.5318046086467802524567,\ +0.8314437521621584892273,0.4952740012668073177338,0.7465563025325536727905,\ +0.7102393140085041522980,0.5811418974772095680237,0.7035941029898822307587,\ +0.3746570833027362823486,0.3394373343326151371002,0.6322447275742888450623,\ +0.7636191300116479396820,0.6940386760979890823364,0.8735245508141815662384,\ +0.3612738298252224922180,0.7933200257830321788788,0.4830590635538101196289,\ +0.2469964125193655490875,0.5025922833010554313660,0.7430270477198064327240,\ +0.6783937942236661911011,0.4903185223229229450226,0.709806025959551334381,\ +0.3303662906400859355927,0.6815545372664928436279,0.0701365978457033634186,\ +0.4745870968326926231384,0.8091805852018296718597,0.9447045121341943740845,\ +0.5478458073921501636505,0.1216687532141804695129,0.9161847713403403759003,\ +0.3045207932591438293457,0.6502694808878004550934,0.0987624628469347953796,\ +0.8391053467057645320892,0.0328534897416830062866,0.3461971958167850971222,\ +0.2801467711105942726135,0.5500544901005923748016,0.0729318000376224517822,\ +0.0225322381593286991119,0.50267804320901632309,0.3478884599171578884125,\ +0.4298669416457414627075,0.3537984383292496204376,0.0529730813577771186829,\ +0.9533003675751388072968,0.1842019557952880859375,0.958756382111459970474,\ +0.3245136169716715812683,0.0003973259590566158295,0.0972583871334791183472,\ +0.4378789965994656086,0.3634226778522133827210,0.2685119728557765483856,\ +0.2770298384130001068115,0.8854365111328661441803,0.5216628303751349449158,\ +0.4979983693920075893,0.8733724001795053482056,0.4699407932348549365997,\ +0.9364062966778874397278,0.1337622734718024730682,0.2712419554591178894043,\ +0.1766990595497190952301,0.0543269468471407890320,0.8402757882140576839447,\ +0.7507283594459295272827,0.3062269617803394794464,0.9195641661062836647034,\ +0.1318263853900134563446,0.0826364941895008087158,0.8222710476256906986237,\ +0.4441085970029234886169,0.9617503038607537746429,0.0283641982823610305786,\ +0.1431905967183411121368,0.3793597565963864326477,0.6144003230147063732147,\ +0.2128270715475082397461,0.4704488315619528293610,0.2076055286452174186707,\ +0.7435979112051427364349,0.3391801547259092330933,0.2479635034687817096710,\ +0.6721735307946801185608,0.9013197491876780986786,0.2140864841639995574951,\ +0.8460668534971773624420,0.1650043567642569541931,0.4003686285577714443207,\ +0.5522825215011835098267,0.0638249483890831470490,0.6903966935351490974426,\ +0.8547787251882255077362,0.0291904583573341369629,0.5434663915075361728668,\ +0.6236743135377764701843,0.2417052476666867733002} + +#define ZSOURCEI {0.5503273960202932357788,0.6906704087741672992706,0.9835249418392777442932,\ +0.8285484607331454753876,0.2062614001333713531494,0.1944643096067011356354,\ +0.4367609983310103416443,0.8090620837174355983734,0.8818644303828477859497,\ +0.7404803228564560413361,0.7542522149160504341126,0.9921960639767348766327,\ +0.9886121451854705810547,0.0113218077458441257477,0.9367801276966929435730,\ +0.3874237253330647945404,0.2886805813759565353394,0.567788839805871248245,\ +0.7295644441619515419006,0.0303032915107905864716,0.2795897088944911956787,\ +0.7047131718136370182037,0.7442112853750586509705,0.8920237845741212368012,\ +0.1081438604742288589478,0.8751525697298347949982,0.9068333031609654426575,\ +0.2166852983646094799042,0.4824190363287925720215,0.7766945236362516880035,\ +0.4510916722938418388367,0.1300636469386518001556,0.5505470838397741317749,\ +0.6936193336732685565949,0.1749099576845765113831,0.8636093880049884319305,\ +0.2150467522442340850830,0.1886725709773600101471,0.1796098565682768821716,\ +0.4374312213622033596039,0.8514516223222017288208,0.7381969136185944080353,\ +0.8102188156917691230774,0.1460137623362243175507,0.8999849110841751098633,\ +0.4043733575381338596344,0.0156995235010981559753,0.6904196902178227901459,\ +0.2990311514586210250855,0.1383218024857342243195,0.8478512773290276527405,\ +0.3007262717001140117645,0.229154746979475021362,0.8078110129572451114655,\ +0.3176332255825400352478,0.6924462593160569667816,0.1364154014736413955689,\ +0.5433279541321098804474,0.3276594849303364753723,0.2006831648759543895721,\ +0.5037304237484931945801,0.4962565028108656406403,0.8996161324903368949890,\ +0.9357709079049527645111,0.3390339072793722152710,0.6029155333526432514191,\ +0.4153500730171799659729,0.3041478390805423259735,0.8489827848970890045166,\ +0.4482063786126673221588,0.0903797810897231101990,0.7382151386700570583344,\ +0.2669597584754228591919,0.8226196658797562122345,0.3985779182985424995422,\ +0.9789295899681746959686,0.3041231036186218261719,0.0663515278138220310211,\ +0.6667758254334330558777,0.7548807277344167232513,0.1922533493489027023315,\ +0.7942791883833706378937,0.5580398896709084510803,0.2016023616306483745575,\ +0.787146832793951034546,0.0955459238030016422272,0.6623697867617011070252,\ +0.864868474658578634262,0.7013061288744211196899,0.8015053984709084033966,\ +0.9135685982182621955872,0.6317234965972602367401,0.9346773549914360046387,\ +0.9157753759063780307770,0.0510348035022616386414,0.4329969524405896663666,\ +0.9721843507140874862671,0.8001508046872913837433,0.8452261472120881080627,\ +0.0610524858348071575165,0.8168097324669361114502,0.2101262793876230716705,\ +0.3055453812703490257263,0.9465212575159966945648,0.9269728232175111770630,\ +0.7737778765149414539337,0.5893978821113705635071,0.2377697187475860118866,\ +0.5269544571638107299805,0.0077543654479086399078,0.8311711428686976432800,\ +0.0268517597578465938568,0.2591186594218015670776,0.4641277943737804889679,\ +0.6098861405625939369202,0.0656952331773936748505,0.6466812007129192352295,\ +0.1018534512259066104889,0.2742705782875418663025,0.8162728524766862392426,\ +0.3357750270515680313110,0.4765891996212303638458,0.8440040023997426033020,\ +0.1785074654035270214081,0.5855625644326210021973,0.8426241897977888584137,\ +0.7058847947046160697937,0.7396617024205625057221,0.9751448985189199447632,\ +0.7606669445522129535675,0.8236690396443009376526,0.8889620001427829265595,\ +0.7960178293287754058838,0.3052428201772272586823,0.6803312664851546287537,\ +0.6412069997750222682953,0.0988248009234666824341,0.4654508423991501331329,\ +0.6714970665052533149719,0.5131103205494582653046,0.8631567060947418212891,\ +0.8328299173153936862946,0.1687975851818919181824,0.2961277081631124019623,\ +0.2591485660523176193237,0.1700844173319637775421,0.9718958893790841102600,\ +0.0695185582153499126434,0.4696230851113796234131,0.9544191421009600162506,\ +0.3679352095350623130798,0.2973918146453797817230,0.0415310803800821304321,\ +0.4892336544580757617950,0.5171590568497776985169,0.3534862431697547435761,\ +0.2354387864470481872559,0.6779259913600981235504,0.3834532154724001884460,\ +0.3174350797198712825775,0.3418120350688695907593,0.0535557498224079608917,\ +0.9285596096888184547424,0.3862650538794696331024,0.4328473098576068878174,\ +0.1581165478564798831940,0.7887120461091399192810,0.7448797873221337795258,\ +0.5185996759682893753052,0.8651678604073822498322,0.1524438308551907539368,\ +0.2392775672487914562225,0.5761575847864151000977,0.7395762302912771701813,\ +0.0583172617480158805847,0.6962534948252141475678,0.4206145536154508590698,\ +0.0281158541329205036163,0.8313249954953789710999,0.2333360086195170879364,\ +0.8865877203643321990967,0.3746785433031618595123,0.87671328987926244736,\ +0.4027077830396592617035,0.2890332732349634170532,0.8538430598564445972443,\ +0.5499771209433674812317,0.5128610017709434032440,0.6321087554097175598145,\ +0.4165538274683058261871,0.3217771751806139945984,0.9717370062135159969330,\ +0.5348322447389364242554,0.3416590173728764057159,0.9565287167206406593323,\ +0.9951003189198672771454,0.3422884084284305572510,0.7870580093003809452057,\ +0.9234123295173048973084,0.5238970420323312282562} + +#define ZEXPAND DoubleComplex(0.3911314327269792556763,0.0342082274146378040314) + +#define ZRESULTR {0.8655722944852924927162,1.0080311239181567461998,0.8925609142479407065451,\ +0.9964280419988468251447,0.5571485762795388430035,0.5766215951761861635561,\ +0.8833535690601446166426,0.7551084203039666320478,0.7412402656397241162978,\ +0.7391120775302850720578,0.8861033666941620090540,0.8909045287065679996630,\ +0.9553114711351453625099,0.6535792477810216105638,0.8762967780815824614393,\ +0.6963121473209069600685,0.9071008437483685238334,0.9080649209860272019768,\ +0.7651103758972559454321,0.9246247726026085578255,0.8656267259726894147676,\ +0.8620727374643903928586,0.8030427255614291937036,1.014256580496504245303,\ +0.7887395917701954806134,0.9690769811804932354349,0.75373087988847220497,\ +0.665324036040102595457,0.8564304632009258622105,0.9943426065332526819773,\ +0.7091702303650339045404,0.7167445282856460542220,0.7911175844993063588362,\ +0.9453949687634901621891,0.6824619663334378083519,0.9058411269303636714767,\ +0.8438785717448686884978,0.8969692115256107101118,0.6070703034893107918890,\ +0.8141804062940767305889,0.7904108638330922254056,0.8517415416153172325053,\ +0.7635694344691914547951,0.9644146393547212703368,0.9063017724357406157409,\ +0.7813949726703418585672,0.9055722155740445478145,0.8821341574516833317077,\ +0.8226826712356364312839,0.6436863850966426658928,0.8232923424855791427746,\ +0.6889381687909778007040,0.6034207402867282077352,0.7986983615906712019594,\ +0.7808389246254876514541,0.9393662483390998740873,0.4756496767288962979059,\ +0.6410331785900358347874,0.5570736776954752222935,0.7962089930094966572227,\ +0.6867653317367202747690,0.9490886605505213236000,0.8617186127290810127022,\ +0.8347121855317853889034,0.6099049384775118154423,0.6446553539303585544928,\ +0.7064095183446724712795,0.8589826028412402836310,1.0333280419860488841266,\ +1.0009679370157384958873,0.3688473932823669865222,0.8275000335386157868101,\ +0.8791435711677849651480,0.8404774761127835613905,0.8221259638143403325472,\ +0.7823902259896605704270,0.5836984889260519171472,0.9624591212353429403592,\ +0.87214445216994962440,0.8101176247061679935868,0.9569519742645639093226,\ +0.8025144823533889582023,0.6640375158107885145142,0.8994725858878525048823,\ +0.9233788797234009360082,0.8679958766637961842250,0.9100186689417938401547,\ +1.0128641777475222429672,0.9127218133217330775509,0.9896138009394465084867,\ +0.9993082101967839525614,0.6972926524978265705457,0.9323806069591931144913,\ +0.8160101391916357860268,0.6998385921148442267992,0.7068441167224135401881,\ +0.7938968406481717865475,0.9874359653522727375830,1.0234238356749769671694,\ +0.9614819054159017275296,0.7753407410455703807628,0.7868519463954313231113,\ +0.9338642936617034262525,0.8994361995251628494330,0.9734883682358368428567,\ +0.9388466429512447586347,0.8625681777851778031518,0.8742421714653901831937,\ +0.7644849876693550205786,0.6546359139100853541393,0.9218660826188850299090,\ +0.8990166027048773766950,0.8711301239674282825831,0.9615090167391108222361,\ +0.7791813215771166145629,0.9117874338036765502480,0.8349616312306362697626,\ +0.5854098493033248473694,0.7781598635219196813395,0.9560498319869397132464,\ +0.8700533052058453398203,0.8046824930853576640644,0.9493290716357183356422,\ +0.6616981690563410456463,0.9011123668510968576229,0.7463274688937293621649,\ +0.8438944808683609410949,0.967670917420046960977,1.0395767162530316074509,\ +0.8807547325114291059123,0.7554892774648256370540,1.0206386037631571817030,\ +0.8053238451013553511615,0.8544388176999402340073,0.7032843861931318274472,\ +0.9661800692102989751575,0.3625289807733498292919,0.7365208997706992333221,\ +0.7641887204486981222118,0.8370383509177440339855,0.7532858906222718031742,\ +0.7301419617080030510792,0.7674102539899976260784,0.6963774291087447831927,\ +0.7363495079699874379386,0.6761329476101115565356,0.7795085331527642491523,\ +0.9796876475370105419316,0.6630224685689680708123,1.0412428453447015730404,\ +0.7007987051265935907196,0.4957725828833144943175,0.4082730584143764995808,\ +0.7838070894699612489731,0.7572068286455557739600,0.6666425764079034754772,\ +0.6381705607729424301056,0.9863693130746217230254,0.8032162659781901803413,\ +0.7816455003905713461165,0.9529341373635599188319,0.7431207805833531798712,\ +1.0315213570726253777821,0.6072910725514631957722,0.6918695596662881586170,\ +0.5400639166795813128630,0.7250562108574124531302,0.9788012629543616505146,\ +0.9194404507581022123475,0.8230461548879194344508,0.9655761323394732587033,\ +0.5404820390080352643381,0.6609198489663343778489,0.9720869068178448202389,\ +0.7269646989456197694324,1.0139914787794561679135,0.5745919175986482496654,\ +0.4679101548416189637614,0.8383907049310611592219,0.8313089288905458618117,\ +0.8000776949896156731157,0.7769598400111837888105,0.7959059962591698011991,\ +0.9044673697739834539178,0.6897306414144260822141,0.8021024469389655964235,\ +0.8925260669951027292512,0.9759461964985622905999,0.7283675470231352200301,\ +0.9471290701945646040016,0.5973840169182614845411,0.8760985519463477810831,\ +0.8416576754202981236475,0.5517569581734146355601,0.9608393360039786390558,\ +1.0156994041747668955367,0.5352727784981988756741,0.8841861277509572847322,\ +0.9348154737561720217798,0.7061621510971951565239} + +#define ZRESULTI {0.2507352759957017229731,0.2597077035238002373774,0.4311375801547998043439,\ +0.3142096700904059569659,0.1689085837110216592460,0.1485678383570865346286,\ +0.1928467320522971317764,0.4557228688087557322284,0.5147867499839029470365,\ +0.4298954588594036674287,0.3339518115646432083743,0.4361032888669963969441,\ +0.3942661152625340226230,-0.0156759414692011767034,0.4216342190154458435814,\ +0.2375262387333460234462,0.1218623208365654658758,0.2430961140393538000293,\ +0.4005557344949497444731,0.0071165503832518592006,0.1239424146890654998554,\ +0.3239999103802678193098,0.3796166421020668590991,0.3301654490061948776791,\ +0.0445509799759439481526,0.3433255246943433536266,0.5155063670908992534692,\ +0.1333705576653928526199,0.2222401853006255867395,0.2958473844131312979755,\ +0.2718238835045109769162,0.0638111633635406738652,0.2844115395647432431581,\ +0.2819711640048214729148,0.0995008638276371482068,0.3708897696809553279351,\ +0.0957826319358946326465,0.0782020197404261763197,0.1239058544887542273605,\ +0.2149541532842871305320,0.4468354605467026452459,0.3454060748345405551518,\ +0.4482667635221281310365,0.0571905015324990773085,0.3861704363530624739553,\ +0.2095642888443723650394,-0.0006474107340685887483,0.3074538897511936430540,\ +0.1416418035595575219965,0.0813510707235199914678,0.4178944079756690133110,\ +0.18311799903417008695,0.1665779146084863104882,0.4164312720201777673346,\ +0.1619976176982119708825,0.2837987818207240997559,0.1371322947622884147467,\ +0.3919995308417341117746,0.286564517326931111896,0.0947138076393856248592,\ +0.3217566148347950072406,0.2012986727837245137796,0.4147875243243727139131,\ +0.4526264616938408535951,0.2543075867710146709122,0.4351291297892320164564,\ +0.25036019692983552121,0.1367950667990639190830,0.3077766302819374688582,\ +0.1718309573016958136105,0.1360328259424684049783,0.3601092291418593882568,\ +0.115968588156260335453,0.3929767663484189932355,0.1924420270514885511481,\ +0.5251513760714544565289,0.2427797113296941700078,0.0243927289528858663725,\ +0.3014989005539743804896,0.3801688209308042853962,0.0763497789484379602021,\ +0.4062860677618788662890,0.3797590074517701586032,0.0838649495994110844022,\ +0.3295489656272450607055,0.0357665894585867810695,0.2829096131593998308951,\ +0.3209960925989643332201,0.2983490076404094470952,0.3068339844593696019715,\ +0.3442039183940806545969,0.3997229201738806136923,0.3855619142782349961784,\ +0.4583545007457388020811,0.0129171956556070680056,0.2615205358423942638702,\ +0.5091243033451308130921,0.3071680827115451650755,0.3100250105838900926969,\ +0.0221547458511593270414,0.4411750253003750010805,0.1013179671536272169474,\ +0.1255083141058383477962,0.4104233196300889341401,0.3610487505240286831842,\ +0.3169796206475462563290,0.2701202532733757433192,0.1030111453872422366818,\ +0.2857724100202110317781,-0.0183464877937233594718,0.3485944785418330638116,\ +0.0040848531118679188429,0.1134446524724902760628,0.1855694326698145713017,\ +0.3234291264874709082022,0.0223549106164038433042,0.3105918323857878027283,\ +0.0633707862092978274626,0.1386383792252010582757,0.3263302138383256667531,\ +0.1495653713305781229437,0.238933687038423103743,0.3403467519630717363910,\ +0.1069587420575875136297,0.2532367083846476796261,0.4848918076968742330024,\ +0.3344586340162984394731,0.2917134330674172049136,0.3489590836696481734869,\ +0.3396338202076644718908,0.4639844509888130796860,0.3265435199559258427904,\ +0.4050419249651691089298,0.1381892282967451812681,0.4265392723554026210842,\ +0.2540046810921274267336,0.1582030803668608431867,0.2652048658869911035296,\ +0.3681251025496489193145,0.2442033766470435018903,0.4897753247400377096810,\ +0.4969094538937048333160,0.0808848883024730763713,0.177092893746416069067,\ +0.1405588477423546367451,0.0975493235811483866415,0.5243731122097079477840,\ +0.0263866256125966647250,0.3160166163140329387282,0.3411837870670260119965,\ +0.2224220694199508796540,0.319442449785955595587,0.0331421867036013270691,\ +0.2549221660285751478448,0.2842420144041926111100,0.2302184532629851232422,\ +0.1567850704050047783156,0.2616647545633992155700,0.1906579007076603937687,\ +0.1616590279518919370805,0.1379022630075907862590,0.0139510212573068798775,\ +0.3361354155389051356906,0.2959004712785165969180,0.2703106383010808189127,\ +0.1300325021070959929936,0.4744646613374619570358,0.2895824249534337813117,\ +0.2184961358962822230989,0.426807187423937750559,0.0597990003127331498645,\ +0.2115261803479235591663,0.3963149188292993674310,0.2900288348173129526764,\ +0.0171555875146988598412,0.259954574571872487621,0.3590435173524976764092,\ +0.0046771943868099191341,0.3986564841709960838045,0.1066577525426010836229,\ +0.4571171140442078506538,0.1948069655442623004937,0.4555736953569811120701,\ +0.172447721502373058078,0.1749336453691343052,0.4380034702144764424681,\ +0.2406770716320568714863,0.2014785207952041745649,0.3725791699557115532748,\ +0.169353818078211759701,0.2485400584530522705151,0.4375888098622027211349,\ +0.2529242309847982150828,0.3057408437536958678571,0.3787762920334192262573,\ +0.3662661014371520473709,0.3241866507622078730222,0.3495665845168827723377,\ +0.3796220139680390737169,0.3208771087739308858211} + + + +void dpowsTest(void) { + double in1[]=SOURCE; + double in2=EXPAND; + double res[]=RESULT; + double out1,out2,out3; + int i; + + for (i=0;i<200;i++){ + out1=dpows(in1[i],in2); + out2=dpows(in1[i],0); + out3=dpows(in1[i],1); + + assert(( (fabs(out1-res[i]))/(fabs(out1)) )<3e-16); + assert(( (fabs(out2-1))/(fabs(out2)) )<1e-16); + assert(( (fabs(out3-in1[i]))/(fabs(out3)) )<1e-16); + } +} + +void zpowsTest(void) { + double in1R[]=ZSOURCER; + double in1I[]=ZSOURCEI; + doubleComplex in2=ZEXPAND; + double resR[]=ZRESULTR; + double resI[]=ZRESULTI; + doubleComplex in1,out; + int i; + + for (i=0;i<200;i++){ + in1=DoubleComplex(in1R[i],in1I[i]); + out=zpows(in1,in2); + assert(( (fabs(zreals(out)-resR[i]))/(fabs(zreals(out))) )<3e-15); + assert(( (fabs(zimags(out)-resI[i]))/(fabs(zimags(out))) )<3e-15); + } +} + +void dpowaTest(void) { + double in1[]=SOURCE; + double in2[200]; + double ZERO[200]={0}; + double ONE[200]; + double res[]=RESULT; + double out1[200],out2[200],out3[200]; + int i; + + for (i=0;i<200;i++) { + in2[i]=EXPAND; + ONE[i]=1; + } + dpowa(in1,200,in2,out1); + dpowa(in1,200,ZERO,out2); + dpowa(in1,200,ONE,out3); + for (i=0;i<200;i++){ + assert(( (fabs(out1[i]-res[i]))/(fabs(out1[i])) )<3e-16); + assert(( (fabs(out2[i]-1))/(fabs(out2[i])) )<1e-16); + assert(( (fabs(out3[i]-in1[i]))/(fabs(out3[i])) )<1e-16); + } +} + +void zpowaTest(void) { + double in1R[]=ZSOURCER; + double in1I[]=ZSOURCEI; + doubleComplex in2[200]; + double resR[]=ZRESULTR; + double resI[]=ZRESULTI; + doubleComplex *in1,out[200]; + int i; + + for (i=0;i<200;i++) in2[i]=ZEXPAND; + in1=DoubleComplexMatrix(in1R,in1I,200); + zpowa(in1,200,in2,out); + + for (i=0;i<200;i++){ + assert(( (fabs(zreals(out[i])-resR[i]))/(fabs(zreals(out[i]))) )<3e-15); + assert(( (fabs(zimags(out[i])-resI[i]))/(fabs(zimags(out[i]))) )<3e-15); + } +} + +int testPow(void) { + printf("\n>>>> Double Powonential Tests\n"); + dpowsTest(); + zpowsTest(); + dpowaTest(); + zpowaTest(); + + return 0; +} + +int main(void) { + assert(testPow() == 0); + return 0; +} diff --git a/2.3-1/src/c/elementaryFunctions/pow/testFloatPow.c b/2.3-1/src/c/elementaryFunctions/pow/testFloatPow.c new file mode 100644 index 00000000..18a5e849 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/pow/testFloatPow.c @@ -0,0 +1,521 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Arnaud TORSET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "testPow.h" + +#define SOURCE {0.4672355107031762599945f,0.9742379654198884963989f,0.6003209394402801990509f,\ +0.8107941793277859687805f,0.8507457631640136241913f,0.2203239351511001586914f,\ +0.9582479097880423069000f,0.0577683029696345329285f,0.6003680988214910030365f,\ +0.0178048145025968551636f,0.878713116515427827835f,0.9244096884503960609436f,\ +0.1339239249937236309052f,0.4019813351333141326904f,0.9738700897432863712311f,\ +0.5752419373020529747009f,0.6085763848386704921722f,0.5994307789951562881470f,\ +0.2787468102760612964630f,0.7734748693183064460754f,0.1174856307916343212128f,\ +0.6118692830204963684082f,0.5719244205392897129059f,0.4209215147420763969421f,\ +0.9079484730027616024017f,0.5168110188096761703491f,0.7020753105171024799347f,\ +0.1115869814530014991760f,0.9647724027745425701141f,0.9537742473185062408447f,\ +0.0141105786897242069244f,0.9176791971549391746521f,0.8026339909993112087250f,\ +0.7647842485457658767700f,0.4686868679709732532501f,0.1267915265634655952454f,\ +0.8111716615967452526093f,0.2579231262207031250000f,0.5488225766457617282867f,\ +0.1490072635933756828308f,0.9965628399513661861420f,0.0626764874905347824097f,\ +0.5473734443075954914093f,0.3126759985461831092835f,0.4633354763500392436981f,\ +0.0458269976079463958740f,0.3291175127960741519928f,0.7676118602976202964783f,\ +0.4801639444194734096527f,0.2566448096185922622681f,0.1611994621343910694122f,\ +0.2144636334851384162903f,0.4733993145637214183807f,0.370124869048595428467f,\ +0.7056843214668333530426f,0.6790067506954073905945f,0.7920840024016797542572f,\ +0.5970210935920476913452f,0.7679705549962818622589f,0.0501071596518158912659f,\ +0.5882007922045886516571f,0.5294274277985095977783f,0.8948125229217112064362f,\ +0.6001070654019713401794f,0.6559062353335320949554f,0.89065577276051044464f,\ +0.4157023173756897449493f,0.2063825475051999092102f,0.5734984236769378185272f,\ +0.6581607908010482788086f,0.0213609733618795871735f,0.4928230522200465202332f,\ +0.9918691380880773067474f,0.5282615851610898971558f,0.4730890546925365924835f,\ +0.6099827596917748451233f,0.4131903718225657939911f,0.1914102546870708465576f,\ +0.5367266149260103702545f,0.8726538261398673057556f,0.3035852289758622646332f,\ +0.3867573235183954238892f,0.7349725333042442798615f,0.9736115010455250740051f,\ +0.8835331979207694530487f,0.2047640457749366760254f,0.0118132256902754306793f,\ +0.9922811193391680717468f,0.4397597997449338436127f,0.6066115852445363998413f,\ +0.9028107305057346820831f,0.9170769685879349708557f,0.5023606116883456707001f,\ +0.6291570700705051422119f,0.3050001696683466434479f,0.9001630311831831932f,\ +0.7309096655808389186859f,0.2441865224391222000122f,0.4401465845294296741486f,\ +0.9633856015279889106751f,0.8533022212795913219452f,0.3407146632671356201172f,\ +0.1051111468113958835602f,0.3741277782246470451355f,0.5010819151066243648529f,\ +0.7990815918892621994019f,0.8030767445452511310577f,0.4098358312621712684631f,\ +0.2850022832863032817841f,0.1255963407456874847412f,0.8493829430080950260162f,\ +0.7299674442037940025330f,0.9545726603828370571137f,0.6164773050695657730103f,\ +0.0457203206606209278107f,0.0741118313744664192200f,0.9853384527377784252167f,\ +0.5198395475745201110840f,0.0164341800846159458160f,0.505031730048358440399f,\ +0.4376457869075238704681f,0.1644789781421422958374f,0.8006876339204609394074f,\ +0.9153772676363587379456f,0.4306405331008136272430f,0.5242034085094928741455f,\ +0.7942340658046305179596f,0.0168217038735747337341f,0.0752517036162316799164f,\ +0.186460481956601142883f,0.6345489663071930408478f,0.5303690480068325996399f,\ +0.2099092262797057628632f,0.1940124779939651489258f,0.1230711438693106174469f,\ +0.7965835509821772575378f,0.7827460928820073604584f,0.7284079920500516891480f,\ +0.7783033107407391071320f,0.5244910726323723793030f,0.2240348826162517070770f,\ +0.10400049015879631042f,0.1135220439173281192780f,0.8979023238644003868103f,\ +0.6526086605153977870941f,0.0412637386471033096313f,0.2328471210785210132599f,\ +0.7579079838469624519348f,0.2600162508897483348846f,0.6881541088223457336426f,\ +0.8394202315248548984528f,0.0802956921979784965515f,0.7161618857644498348236f,\ +0.3582697566598653793335f,0.2494430621154606342316f,0.4666389161720871925354f,\ +0.9401792283169925212860f,0.4545566774904727935791f,0.5058247582055628299713f,\ +0.8678076928481459617615f,0.0802897713147103786469f,0.5473116356879472732544f,\ +0.1851887595839798450470f,0.258651246316730976105f,0.0463956105522811412811f,\ +0.0752319693565368652344f,0.9919890114106237888336f,0.4826024798676371574402f,\ +0.4391565932892262935638f,0.6382622700184583663940f,0.7334855501540005207062f,\ +0.9849543431773781776428f,0.2193018416874110698700f,0.3509879373013973236084f,\ +0.7693294645287096500397f,0.6535580744966864585877f,0.9609256512485444545746f,\ +0.2253256086260080337524f,0.5295072314329445362091f,0.4856933178380131721497f,\ +0.0325177642516791820526f,0.0512604638934135437012f,0.1943944268859922885895f,\ +0.2998601151630282402039f,0.549478018190711736679f,0.7443804051727056503296f,\ +0.1306688119657337665558f,0.2112427735701203346252f,0.4418653692118823528290f,\ +0.6289571113884449005127f,0.1768327937461435794830f,0.0895956074818968772888f,\ +0.481131290551275014877f,0.6253239680081605911255f,0.3720952612347900867462f,\ +0.7183005558326840400696f,0.6095875459723174571991f,0.8103008717298507690430f,\ +0.2223627963103353977203f,0.8733466742560267448425f} + +#define EXPAND 0.4163583382032811641693f + +#define RESULT {0.7284646681346131913415f,0.989192008106873243989f,0.8085895400964338008976f,\ +0.9163769951101256028281f,0.9349137762043832067249f,0.5326945489743132311489f,\ +0.9823995642201152067585f,0.305083797583213633953f,0.8086159867079506513576f,\ +0.1868945690068203879797f,0.9475895783496315338823f,0.9678039608420992978566f,\ +0.4329723055503270634503f,0.68423899539773069822f,0.9890364718108022312748f,\ +0.7943497624629932696294f,0.8132007898688196068093f,0.808090117466149226999f,\ +0.5875008761072864071906f,0.8985735866087510848033f,0.4099967340694569695181f,\ +0.8150299171646913087841f,0.7924391432248698574625f,0.6974820008616173794280f,\ +0.9605908201300753512797f,0.7597020352483303540225f,0.8630591732121281056678f,\ +0.4012970358491440014959f,0.9851790447321197019548f,0.9804873634101264334717f,\ +0.1696475368521674076394f,0.9648638597435894581622f,0.9125256586220036325585f,\ +0.8943560812692227246501f,0.7294059529194845126199f,0.4232180082272890553341f,\ +0.916554605507083564042f,0.5688124226892673496181f,0.7789513375488348323472f,\ +0.4526453084551937400271f,0.9985674717102872577357f,0.3156199821647662773216f,\ +0.7780943221002011300769f,0.6162804684283178513482f,0.7259267967438961521864f,\ +0.2770427140579521108066f,0.6295715021115366738513f,0.8957313597799472226768f,\ +0.7367902678841352637207f,0.5676369465830355398595f,0.4677127626898579526582f,\ +0.5267487587241619362288f,0.7324505569224598611200f,0.6611168125785117366533f,\ +0.8649036030014317644188f,0.8511368159883252459963f,0.9075123889490784856449f,\ +0.8067359928657767964566f,0.8959056083070979781269f,0.2875361378747636753595f,\ +0.8017520221011086301033f,0.7673694529244873274720f,0.9547798347087154136048f,\ +0.8084695859896496861197f,0.8389586175592145256275f,0.9529306420557314138975f,\ +0.6938680535086353406982f,0.5183921020261006429308f,0.793346444899387437388f,\ +0.8401580945174779158080f,0.2016154416018380302056f,0.7448165896518380568736f,\ +0.9966065805762621687691f,0.7666654335848160917166f,0.732250650546897197124f,\ +0.8139827028709292200404f,0.6921192559761130125295f,0.5023891186631103122906f,\ +0.7717567966494431885849f,0.9448634993544591242909f,0.6087559602629232236026f,\ +0.6733278820109139806149f,0.8796721878469864197569f,0.9889271210673219458798f,\ +0.9497503111327298963573f,0.5166955674002130516342f,0.157548601510365510192f,\ +0.9967789108028516364968f,0.7103130756882061191959f,0.812106637266760356120f,\ +0.9583239035572395092544f,0.9646001738095134614426f,0.7507845794857243015841f,\ +0.8245398795703052785555f,0.6099356789350187657561f,0.9571527235790283638650f,\ +0.8776442633914852686772f,0.5559974763067492276036f,0.7105731272697249911730f,\ +0.9845891777882239681574f,0.9360824607784468120997f,0.6387148606873016554175f,\ +0.3914310831295715331635f,0.6640844299927105565118f,0.7499883148290458212415f,\ +0.9108419054310594731305f,0.9127352082795270327154f,0.6897741461687679764836f,\ +0.5929547610295462511942f,0.4215523895030350853830f,0.934289925422809419686f,\ +0.8771730273596389793056f,0.9808290164206334704744f,0.8175799454103661600968f,\ +0.2767740197567316595695f,0.3384295343168625125330f,0.9938692202734674685516f,\ +0.7615524516687232070566f,0.1807639486854548671602f,0.7524441192146538170960f,\ +0.7088893722374375316875f,0.4716512920271773157133f,0.9116036713239157318611f,\ +0.9638554137274480959619f,0.7041427136462521385596f,0.7642077184686376645217f,\ +0.9085372292434992225196f,0.1825266043999770881889f,0.3405871110552653457937f,\ +0.4969386012149143438954f,0.8274746814049287468862f,0.7679374104413381196821f,\ +0.5220621091101612654128f,0.5052216371459599120186f,0.4180025804993992566416f,\ +0.9096552753365539922825f,0.9030424754444578150370f,0.8763923131750169792653f,\ +0.9009048556663895590546f,0.7643822986790410611846f,0.5364120201901159123992f,\ +0.3897036620350837199389f,0.4041799474476096554199f,0.956151132910635803697f,\ +0.8371998878550279687971f,0.2652042210750701900501f,0.5450981151899623178281f,\ +0.8909992090057128333314f,0.5707298363723116718660f,0.8558922439179788010932f,\ +0.9297114995403523707296f,0.3499125215193959470561f,0.8702273048082653783553f,\ +0.6522163450193463329896f,0.560949837269416606844f,0.7280772489811332404130f,\ +0.9746440403672457231110f,0.7201681760891580630357f,0.7529358332138126330690f,\ +0.9426752591053616514571f,0.3499017784013320198078f,0.7780577391146925592125f,\ +0.4955246248432562672370f,0.5694804460964003611778f,0.2784687951398606142739f,\ +0.3405499204525159195889f,0.9966567274503397300123f,0.7383459049553654507392f,\ +0.7099072481980015503211f,0.8294873733988427089159f,0.8789307415943956591775f,\ +0.9937078900984196438984f,0.5316642496139925011534f,0.6466638927283177018524f,\ +0.8965653157624376978774f,0.8377067792805890089625f,0.9835416334061796161947f,\ +0.5376965838311716927578f,0.7674176109757441244241f,0.7403110930323951732746f,\ +0.2401646248105218373059f,0.2902733727718892486891f,0.5056355181408417331923f,\ +0.6056346866145997376307f,0.7793385312672220788244f,0.8843430174683920563794f,\ +0.4285591961287324447305f,0.5234404705944887270519f,0.7117271278107557552772f,\ +0.8244307605644806136169f,0.4860897924292185146022f,0.3662484869284197697148f,\ +0.7374079263129095229701f,0.8224445894290783876102f,0.6625799211503411445534f,\ +0.8713083765590698970271f,0.8137630792596124429394f,0.9161448146036499373679f,\ +0.5347414781155725993500f,0.9451757704519925251674f} + +#define CSOURCER {0.6045256052166223526001f,0.9455216196365654468536f,0.4476299257948994636536f,\ +0.8624908211641013622284f,0.1751048639416694641113f,0.2067177616991102695465f,\ +0.6848411662504076957703f,0.1348653226159512996674f,0.0069159921258687973022f,\ +0.1496290047653019428253f,0.5665438110008835792542f,0.4359452719800174236298f,\ +0.6547604538500308990479f,0.3381605879403650760651f,0.4259321158751845359802f,\ +0.3060420057736337184906f,0.7704779822379350662231f,0.7058695447631180286408f,\ +0.2373670237138867378235f,0.8205849635414779186249f,0.6789963841438293457031f,\ +0.5250809141434729099274f,0.3359806565567851066589f,0.8941988362930715084076f,\ +0.5461782198399305343628f,0.7568633262999355792999f,0.0259526828303933143616f,\ +0.3250150899402797222138f,0.6072143577039241791f,0.8756139636971056461334f,\ +0.2962085595354437828064f,0.4229678637348115444183f,0.4243144039064645767212f,\ +0.7620028969831764698029f,0.3622896494343876838684f,0.5658242437057197093964f,\ +0.6424440070986747741699f,0.7580267959274351596832f,0.2531452132388949394226f,\ +0.5266989110969007015228f,0.2118590380996465682983f,0.4779220153577625751495f,\ +0.1615962767973542213440f,0.9168031658045947551727f,0.5461866445839405059815f,\ +0.4686870560981333255768f,0.7772213732823729515076f,0.5871783248148858547211f,\ +0.5848031807690858840942f,0.3139644009061157703400f,0.3204141603782773017883f,\ +0.3331634956412017345429f,0.2282590121030807495117f,0.2750317254103720188141f,\ +0.4963629124686121940613f,0.7453477247618138790131f,0.1155001949518918991089f,\ +0.0626524840481579303741f,0.0877018878236413002014f,0.5507565210573375225067f,\ +0.2116370312869548797607f,0.8335358710028231143951f,0.4045845707878470420837f,\ +0.2880227542482316493988f,0.1750094983726739883423f,0.0051561561413109302521f,\ +0.3109287889674305915833f,0.6602919283322989940643f,0.9722995534539222717285f,\ +0.9826813959516584873200f,0.0455837054178118705750f,0.4096118300221860408783f,\ +0.7104403134435415267944f,0.3917615194804966449738f,0.5571686858311295509338f,\ +0.0565565521828830242157f,0.1540721096098423004150f,0.9109257892705500125885f,\ +0.5713340407237410545349f,0.3488348922692239284515f,0.8972954172641038894653f,\ +0.2973396372981369495392f,0.1091936426237225532532f,0.7626331257633864879608f,\ +0.6584706604480743408203f,0.6996708759106695652008f,0.6756794182583689689636f,\ +0.9004421546123921871185f,0.6668148916214704513550f,0.8518152837641537189484f,\ +0.8365677157416939735413f,0.1291190306656062602997f,0.6095453463494777679443f,\ +0.2412315667606890201569f,0.4029275467619299888611f,0.3019328541122376918793f,\ +0.1083198729902505874634f,0.8456356939859688282013f,0.9417407037690281867981f,\ +0.9083450469188392162323f,0.1937242373824119567871f,0.5318046086467802524567f,\ +0.8314437521621584892273f,0.4952740012668073177338f,0.7465563025325536727905f,\ +0.7102393140085041522980f,0.5811418974772095680237f,0.7035941029898822307587f,\ +0.3746570833027362823486f,0.3394373343326151371002f,0.6322447275742888450623f,\ +0.7636191300116479396820f,0.6940386760979890823364f,0.8735245508141815662384f,\ +0.3612738298252224922180f,0.7933200257830321788788f,0.4830590635538101196289f,\ +0.2469964125193655490875f,0.5025922833010554313660f,0.7430270477198064327240f,\ +0.6783937942236661911011f,0.4903185223229229450226f,0.709806025959551334381f,\ +0.3303662906400859355927f,0.6815545372664928436279f,0.0701365978457033634186f,\ +0.4745870968326926231384f,0.8091805852018296718597f,0.9447045121341943740845f,\ +0.5478458073921501636505f,0.1216687532141804695129f,0.9161847713403403759003f,\ +0.3045207932591438293457f,0.6502694808878004550934f,0.0987624628469347953796f,\ +0.8391053467057645320892f,0.0328534897416830062866f,0.3461971958167850971222f,\ +0.2801467711105942726135f,0.5500544901005923748016f,0.0729318000376224517822f,\ +0.0225322381593286991119f,0.50267804320901632309f,0.3478884599171578884125f,\ +0.4298669416457414627075f,0.3537984383292496204376f,0.0529730813577771186829f,\ +0.9533003675751388072968f,0.1842019557952880859375f,0.958756382111459970474f,\ +0.3245136169716715812683f,0.0003973259590566158295f,0.0972583871334791183472f,\ +0.4378789965994656086f,0.3634226778522133827210f,0.2685119728557765483856f,\ +0.2770298384130001068115f,0.8854365111328661441803f,0.5216628303751349449158f,\ +0.4979983693920075893f,0.8733724001795053482056f,0.4699407932348549365997f,\ +0.9364062966778874397278f,0.1337622734718024730682f,0.2712419554591178894043f,\ +0.1766990595497190952301f,0.0543269468471407890320f,0.8402757882140576839447f,\ +0.7507283594459295272827f,0.3062269617803394794464f,0.9195641661062836647034f,\ +0.1318263853900134563446f,0.0826364941895008087158f,0.8222710476256906986237f,\ +0.4441085970029234886169f,0.9617503038607537746429f,0.0283641982823610305786f,\ +0.1431905967183411121368f,0.3793597565963864326477f,0.6144003230147063732147f,\ +0.2128270715475082397461f,0.4704488315619528293610f,0.2076055286452174186707f,\ +0.7435979112051427364349f,0.3391801547259092330933f,0.2479635034687817096710f,\ +0.6721735307946801185608f,0.9013197491876780986786f,0.2140864841639995574951f,\ +0.8460668534971773624420f,0.1650043567642569541931f,0.4003686285577714443207f,\ +0.5522825215011835098267f,0.0638249483890831470490f,0.6903966935351490974426f,\ +0.8547787251882255077362f,0.0291904583573341369629f,0.5434663915075361728668f,\ +0.6236743135377764701843f,0.2417052476666867733002f} + +#define CSOURCEI {0.5503273960202932357788f,0.6906704087741672992706f,0.9835249418392777442932f,\ +0.8285484607331454753876f,0.2062614001333713531494f,0.1944643096067011356354f,\ +0.4367609983310103416443f,0.8090620837174355983734f,0.8818644303828477859497f,\ +0.7404803228564560413361f,0.7542522149160504341126f,0.9921960639767348766327f,\ +0.9886121451854705810547f,0.0113218077458441257477f,0.9367801276966929435730f,\ +0.3874237253330647945404f,0.2886805813759565353394f,0.567788839805871248245f,\ +0.7295644441619515419006f,0.0303032915107905864716f,0.2795897088944911956787f,\ +0.7047131718136370182037f,0.7442112853750586509705f,0.8920237845741212368012f,\ +0.1081438604742288589478f,0.8751525697298347949982f,0.9068333031609654426575f,\ +0.2166852983646094799042f,0.4824190363287925720215f,0.7766945236362516880035f,\ +0.4510916722938418388367f,0.1300636469386518001556f,0.5505470838397741317749f,\ +0.6936193336732685565949f,0.1749099576845765113831f,0.8636093880049884319305f,\ +0.2150467522442340850830f,0.1886725709773600101471f,0.1796098565682768821716f,\ +0.4374312213622033596039f,0.8514516223222017288208f,0.7381969136185944080353f,\ +0.8102188156917691230774f,0.1460137623362243175507f,0.8999849110841751098633f,\ +0.4043733575381338596344f,0.0156995235010981559753f,0.6904196902178227901459f,\ +0.2990311514586210250855f,0.1383218024857342243195f,0.8478512773290276527405f,\ +0.3007262717001140117645f,0.229154746979475021362f,0.8078110129572451114655f,\ +0.3176332255825400352478f,0.6924462593160569667816f,0.1364154014736413955689f,\ +0.5433279541321098804474f,0.3276594849303364753723f,0.2006831648759543895721f,\ +0.5037304237484931945801f,0.4962565028108656406403f,0.8996161324903368949890f,\ +0.9357709079049527645111f,0.3390339072793722152710f,0.6029155333526432514191f,\ +0.4153500730171799659729f,0.3041478390805423259735f,0.8489827848970890045166f,\ +0.4482063786126673221588f,0.0903797810897231101990f,0.7382151386700570583344f,\ +0.2669597584754228591919f,0.8226196658797562122345f,0.3985779182985424995422f,\ +0.9789295899681746959686f,0.3041231036186218261719f,0.0663515278138220310211f,\ +0.6667758254334330558777f,0.7548807277344167232513f,0.1922533493489027023315f,\ +0.7942791883833706378937f,0.5580398896709084510803f,0.2016023616306483745575f,\ +0.787146832793951034546f,0.0955459238030016422272f,0.6623697867617011070252f,\ +0.864868474658578634262f,0.7013061288744211196899f,0.8015053984709084033966f,\ +0.9135685982182621955872f,0.6317234965972602367401f,0.9346773549914360046387f,\ +0.9157753759063780307770f,0.0510348035022616386414f,0.4329969524405896663666f,\ +0.9721843507140874862671f,0.8001508046872913837433f,0.8452261472120881080627f,\ +0.0610524858348071575165f,0.8168097324669361114502f,0.2101262793876230716705f,\ +0.3055453812703490257263f,0.9465212575159966945648f,0.9269728232175111770630f,\ +0.7737778765149414539337f,0.5893978821113705635071f,0.2377697187475860118866f,\ +0.5269544571638107299805f,0.0077543654479086399078f,0.8311711428686976432800f,\ +0.0268517597578465938568f,0.2591186594218015670776f,0.4641277943737804889679f,\ +0.6098861405625939369202f,0.0656952331773936748505f,0.6466812007129192352295f,\ +0.1018534512259066104889f,0.2742705782875418663025f,0.8162728524766862392426f,\ +0.3357750270515680313110f,0.4765891996212303638458f,0.8440040023997426033020f,\ +0.1785074654035270214081f,0.5855625644326210021973f,0.8426241897977888584137f,\ +0.7058847947046160697937f,0.7396617024205625057221f,0.9751448985189199447632f,\ +0.7606669445522129535675f,0.8236690396443009376526f,0.8889620001427829265595f,\ +0.7960178293287754058838f,0.3052428201772272586823f,0.6803312664851546287537f,\ +0.6412069997750222682953f,0.0988248009234666824341f,0.4654508423991501331329f,\ +0.6714970665052533149719f,0.5131103205494582653046f,0.8631567060947418212891f,\ +0.8328299173153936862946f,0.1687975851818919181824f,0.2961277081631124019623f,\ +0.2591485660523176193237f,0.1700844173319637775421f,0.9718958893790841102600f,\ +0.0695185582153499126434f,0.4696230851113796234131f,0.9544191421009600162506f,\ +0.3679352095350623130798f,0.2973918146453797817230f,0.0415310803800821304321f,\ +0.4892336544580757617950f,0.5171590568497776985169f,0.3534862431697547435761f,\ +0.2354387864470481872559f,0.6779259913600981235504f,0.3834532154724001884460f,\ +0.3174350797198712825775f,0.3418120350688695907593f,0.0535557498224079608917f,\ +0.9285596096888184547424f,0.3862650538794696331024f,0.4328473098576068878174f,\ +0.1581165478564798831940f,0.7887120461091399192810f,0.7448797873221337795258f,\ +0.5185996759682893753052f,0.8651678604073822498322f,0.1524438308551907539368f,\ +0.2392775672487914562225f,0.5761575847864151000977f,0.7395762302912771701813f,\ +0.0583172617480158805847f,0.6962534948252141475678f,0.4206145536154508590698f,\ +0.0281158541329205036163f,0.8313249954953789710999f,0.2333360086195170879364f,\ +0.8865877203643321990967f,0.3746785433031618595123f,0.87671328987926244736f,\ +0.4027077830396592617035f,0.2890332732349634170532f,0.8538430598564445972443f,\ +0.5499771209433674812317f,0.5128610017709434032440f,0.6321087554097175598145f,\ +0.4165538274683058261871f,0.3217771751806139945984f,0.9717370062135159969330f,\ +0.5348322447389364242554f,0.3416590173728764057159f,0.9565287167206406593323f,\ +0.9951003189198672771454f,0.3422884084284305572510f,0.7870580093003809452057f,\ +0.9234123295173048973084f,0.5238970420323312282562f} + +#define CEXPAND FloatComplex(0.3911314327269792556763f,0.0342082274146378040314f) + +#define CRESULTR {0.8655722944852924927162f,1.0080311239181567461998f,0.8925609142479407065451f,\ +0.9964280419988468251447f,0.5571485762795388430035f,0.5766215951761861635561f,\ +0.8833535690601446166426f,0.7551084203039666320478f,0.7412402656397241162978f,\ +0.7391120775302850720578f,0.8861033666941620090540f,0.8909045287065679996630f,\ +0.9553114711351453625099f,0.6535792477810216105638f,0.8762967780815824614393f,\ +0.6963121473209069600685f,0.9071008437483685238334f,0.9080649209860272019768f,\ +0.7651103758972559454321f,0.9246247726026085578255f,0.8656267259726894147676f,\ +0.8620727374643903928586f,0.8030427255614291937036f,1.014256580496504245303f,\ +0.7887395917701954806134f,0.9690769811804932354349f,0.75373087988847220497f,\ +0.665324036040102595457f,0.8564304632009258622105f,0.9943426065332526819773f,\ +0.7091702303650339045404f,0.7167445282856460542220f,0.7911175844993063588362f,\ +0.9453949687634901621891f,0.6824619663334378083519f,0.9058411269303636714767f,\ +0.8438785717448686884978f,0.8969692115256107101118f,0.6070703034893107918890f,\ +0.8141804062940767305889f,0.7904108638330922254056f,0.8517415416153172325053f,\ +0.7635694344691914547951f,0.9644146393547212703368f,0.9063017724357406157409f,\ +0.7813949726703418585672f,0.9055722155740445478145f,0.8821341574516833317077f,\ +0.8226826712356364312839f,0.6436863850966426658928f,0.8232923424855791427746f,\ +0.6889381687909778007040f,0.6034207402867282077352f,0.7986983615906712019594f,\ +0.7808389246254876514541f,0.9393662483390998740873f,0.4756496767288962979059f,\ +0.6410331785900358347874f,0.5570736776954752222935f,0.7962089930094966572227f,\ +0.6867653317367202747690f,0.9490886605505213236000f,0.8617186127290810127022f,\ +0.8347121855317853889034f,0.6099049384775118154423f,0.6446553539303585544928f,\ +0.7064095183446724712795f,0.8589826028412402836310f,1.0333280419860488841266f,\ +1.0009679370157384958873f,0.3688473932823669865222f,0.8275000335386157868101f,\ +0.8791435711677849651480f,0.8404774761127835613905f,0.8221259638143403325472f,\ +0.7823902259896605704270f,0.5836984889260519171472f,0.9624591212353429403592f,\ +0.87214445216994962440f,0.8101176247061679935868f,0.9569519742645639093226f,\ +0.8025144823533889582023f,0.6640375158107885145142f,0.8994725858878525048823f,\ +0.9233788797234009360082f,0.8679958766637961842250f,0.9100186689417938401547f,\ +1.0128641777475222429672f,0.9127218133217330775509f,0.9896138009394465084867f,\ +0.9993082101967839525614f,0.6972926524978265705457f,0.9323806069591931144913f,\ +0.8160101391916357860268f,0.6998385921148442267992f,0.7068441167224135401881f,\ +0.7938968406481717865475f,0.9874359653522727375830f,1.0234238356749769671694f,\ +0.9614819054159017275296f,0.7753407410455703807628f,0.7868519463954313231113f,\ +0.9338642936617034262525f,0.8994361995251628494330f,0.9734883682358368428567f,\ +0.9388466429512447586347f,0.8625681777851778031518f,0.8742421714653901831937f,\ +0.7644849876693550205786f,0.6546359139100853541393f,0.9218660826188850299090f,\ +0.8990166027048773766950f,0.8711301239674282825831f,0.9615090167391108222361f,\ +0.7791813215771166145629f,0.9117874338036765502480f,0.8349616312306362697626f,\ +0.5854098493033248473694f,0.7781598635219196813395f,0.9560498319869397132464f,\ +0.8700533052058453398203f,0.8046824930853576640644f,0.9493290716357183356422f,\ +0.6616981690563410456463f,0.9011123668510968576229f,0.7463274688937293621649f,\ +0.8438944808683609410949f,0.967670917420046960977f,1.0395767162530316074509f,\ +0.8807547325114291059123f,0.7554892774648256370540f,1.0206386037631571817030f,\ +0.8053238451013553511615f,0.8544388176999402340073f,0.7032843861931318274472f,\ +0.9661800692102989751575f,0.3625289807733498292919f,0.7365208997706992333221f,\ +0.7641887204486981222118f,0.8370383509177440339855f,0.7532858906222718031742f,\ +0.7301419617080030510792f,0.7674102539899976260784f,0.6963774291087447831927f,\ +0.7363495079699874379386f,0.6761329476101115565356f,0.7795085331527642491523f,\ +0.9796876475370105419316f,0.6630224685689680708123f,1.0412428453447015730404f,\ +0.7007987051265935907196f,0.4957725828833144943175f,0.4082730584143764995808f,\ +0.7838070894699612489731f,0.7572068286455557739600f,0.6666425764079034754772f,\ +0.6381705607729424301056f,0.9863693130746217230254f,0.8032162659781901803413f,\ +0.7816455003905713461165f,0.9529341373635599188319f,0.7431207805833531798712f,\ +1.0315213570726253777821f,0.6072910725514631957722f,0.6918695596662881586170f,\ +0.5400639166795813128630f,0.7250562108574124531302f,0.9788012629543616505146f,\ +0.9194404507581022123475f,0.8230461548879194344508f,0.9655761323394732587033f,\ +0.5404820390080352643381f,0.6609198489663343778489f,0.9720869068178448202389f,\ +0.7269646989456197694324f,1.0139914787794561679135f,0.5745919175986482496654f,\ +0.4679101548416189637614f,0.8383907049310611592219f,0.8313089288905458618117f,\ +0.8000776949896156731157f,0.7769598400111837888105f,0.7959059962591698011991f,\ +0.9044673697739834539178f,0.6897306414144260822141f,0.8021024469389655964235f,\ +0.8925260669951027292512f,0.9759461964985622905999f,0.7283675470231352200301f,\ +0.9471290701945646040016f,0.5973840169182614845411f,0.8760985519463477810831f,\ +0.8416576754202981236475f,0.5517569581734146355601f,0.9608393360039786390558f,\ +1.0156994041747668955367f,0.5352727784981988756741f,0.8841861277509572847322f,\ +0.9348154737561720217798f,0.7061621510971951565239f} + +#define CRESULTI {0.2507352759957017229731f,0.2597077035238002373774f,0.4311375801547998043439f,\ +0.3142096700904059569659f,0.1689085837110216592460f,0.1485678383570865346286f,\ +0.1928467320522971317764f,0.4557228688087557322284f,0.5147867499839029470365f,\ +0.4298954588594036674287f,0.3339518115646432083743f,0.4361032888669963969441f,\ +0.3942661152625340226230f,-0.0156759414692011767034f,0.4216342190154458435814f,\ +0.2375262387333460234462f,0.1218623208365654658758f,0.2430961140393538000293f,\ +0.4005557344949497444731f,0.0071165503832518592006f,0.1239424146890654998554f,\ +0.3239999103802678193098f,0.3796166421020668590991f,0.3301654490061948776791f,\ +0.0445509799759439481526f,0.3433255246943433536266f,0.5155063670908992534692f,\ +0.1333705576653928526199f,0.2222401853006255867395f,0.2958473844131312979755f,\ +0.2718238835045109769162f,0.0638111633635406738652f,0.2844115395647432431581f,\ +0.2819711640048214729148f,0.0995008638276371482068f,0.3708897696809553279351f,\ +0.0957826319358946326465f,0.0782020197404261763197f,0.1239058544887542273605f,\ +0.2149541532842871305320f,0.4468354605467026452459f,0.3454060748345405551518f,\ +0.4482667635221281310365f,0.0571905015324990773085f,0.3861704363530624739553f,\ +0.2095642888443723650394f,-0.0006474107340685887483f,0.3074538897511936430540f,\ +0.1416418035595575219965f,0.0813510707235199914678f,0.4178944079756690133110f,\ +0.18311799903417008695f,0.1665779146084863104882f,0.4164312720201777673346f,\ +0.1619976176982119708825f,0.2837987818207240997559f,0.1371322947622884147467f,\ +0.3919995308417341117746f,0.286564517326931111896f,0.0947138076393856248592f,\ +0.3217566148347950072406f,0.2012986727837245137796f,0.4147875243243727139131f,\ 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out3=spows(in1[i],1); + + assert(( (fabs(out1-res[i]))/(fabs(out1)) )<1e-6); + assert(( (fabs(out2-1))/(fabs(out2)) )<1e-16); + assert(( (fabs(out3-in1[i]))/(fabs(out3)) )<1e-16); + } +} + + +void cpowsTest(void) { + float in1R[]=CSOURCER; + float in1I[]=CSOURCEI; + floatComplex in2=CEXPAND; + float resR[]=CRESULTR; + float resI[]=CRESULTI; + floatComplex in1,out; + int i; + + for (i=0;i<200;i++){ + in1=FloatComplex(in1R[i],in1I[i]); + out=cpows(in1,in2); + assert(( (fabs(creals(out)-resR[i]))/(fabs(creals(out))) )<1e-5); + assert(( (fabs(cimags(out)-resI[i]))/(fabs(cimags(out))) )<1e-5); + } +} + +void spowaTest(void) { + float in1[]=SOURCE; + float in2[200]; + float ZERO[200]={0}; + float ONE[200]; + float res[]=RESULT; + float out1[200],out2[200],out3[200]; + int i; + + for (i=0;i<200;i++) { + in2[i]=EXPAND; + ONE[i]=1; + } + spowa(in1,200,in2,out1); + spowa(in1,200,ZERO,out2); + spowa(in1,200,ONE,out3); + for (i=0;i<200;i++){ + assert(( (fabs(out1[i]-res[i]))/(fabs(out1[i])) )<1e-6); + assert(( (fabs(out2[i]-1))/(fabs(out2[i])) )<1e-16); + assert(( (fabs(out3[i]-in1[i]))/(fabs(out3[i])) )<1e-16); + } +} + +void cpowaTest(void) { + float in1R[]=CSOURCER; + float in1I[]=CSOURCEI; + floatComplex in2[200]; + float resR[]=CRESULTR; + float resI[]=CRESULTI; + floatComplex *in1, out[200]; + int i; + + for (i=0;i<200;i++) in2[i]=CEXPAND; + in1=FloatComplexMatrix(in1R,in1I,200); + cpowa(in1,200,in2,out); + + for (i=0;i<200;i++){ + assert(( (fabs(creals(out[i])-resR[i]))/(fabs(creals(out[i]))) )<1e-6); + assert(( (fabs(cimags(out[i])-resI[i]))/(fabs(cimags(out[i]))) )<1e-6); + } +} + +int testPow(void) { + printf("\n>>>> Powonential Tests\n"); + spowsTest(); + + cpowsTest(); + spowaTest(); + cpowaTest(); + + return 0; +} + +int main(void) { + assert(testPow() == 0); + return 0; +} diff --git a/2.3-1/src/c/elementaryFunctions/pow/testPow.h b/2.3-1/src/c/elementaryFunctions/pow/testPow.h new file mode 100644 index 00000000..700909f0 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/pow/testPow.h @@ -0,0 +1,41 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2007-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#ifndef _TESTPOW_H_ +#define _TESTPOW_H_ + +#include <stdio.h> +#include <assert.h> +#include <math.h> +#include "pow.h" +#include "constant.h" + + +void spowsTest(void); + +void dpowsTest(void); + +void cpowsTest(void); + +void zpowsTest(void); + +void spowaTest(void); + +void dpowaTest(void); + +void cpowaTest(void); + +void zpowaTest(void); + +int testPow(void); + +#endif /* ! _TESTPOW_H_ */ diff --git a/2.3-1/src/c/elementaryFunctions/pow/zpowa.c b/2.3-1/src/c/elementaryFunctions/pow/zpowa.c new file mode 100644 index 00000000..ace264de --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/pow/zpowa.c @@ -0,0 +1,25 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "pow.h" + +void zpowa(doubleComplex* x, int size, doubleComplex* y, doubleComplex *out) { + /* + Computes Scilab x.^power + Computes power element by element + x and power must have same size + */ + int i = 0; + for (i = 0; i < size; ++i) { + out[i] = zpows(x[i], y[i]); + } +} diff --git a/2.3-1/src/c/elementaryFunctions/pow/zpows.c b/2.3-1/src/c/elementaryFunctions/pow/zpows.c new file mode 100644 index 00000000..1a7059b2 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/pow/zpows.c @@ -0,0 +1,28 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "pow.h" +#include "log.h" +#include "exp.h" + +doubleComplex zpows(doubleComplex z, doubleComplex power) { + /*Cas z=0 */ + if ( (zreals(z)==0) && (zimags(z)==0) ){ + /* Cas 0^0 */ + if ( (zreals(power)==0) && (zimags(power)==0) ) return DoubleComplex(1,0); + /* Cas 0^x, x!=0 */ + return DoubleComplex(0,0); + } + + /* Cas z!=0 */ + return zexps(zmuls(zlogs(z), power)); +} diff --git a/2.3-1/src/c/elementaryFunctions/round/Makefile.am b/2.3-1/src/c/elementaryFunctions/round/Makefile.am new file mode 100644 index 00000000..12ee342a --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/round/Makefile.am @@ -0,0 +1,59 @@ +## +## Scilab ( http://www.scilab.org/ ) - This file is part of Scilab +## Copyright (C) 2006-2008 - INRIA - Bruno JOFRET +## +## This file must be used under the terms of the CeCILL. +## This source file is licensed as described in the file COPYING, which +## you should have received as part of this distribution. The terms +## are also available at +## http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt +## +## + + + +libRound_la_CFLAGS = -I $(top_builddir)/src/c/type \ + -I $(top_builddir)/src/c/elementaryFunctions/includes + +instdir = $(top_builddir)/lib + +pkglib_LTLIBRARIES = libRound.la + +libRound_la_SOURCES = $(HEAD) $(SRC) + +HEAD = ../includes/round.h + +SRC = srounds.c \ + drounds.c \ + crounds.c \ + zrounds.c \ + srounda.c \ + drounda.c \ + crounda.c \ + zrounda.c + +#### +# Checking Part +#### + +check_INCLUDES = -I $(top_builddir)/src/c/elementaryFunctions/includes \ + -I $(top_builddir)/src/c/type + +check_LDADD = $(top_builddir)/src/c/type/libDoubleComplex.la \ + $(top_builddir)/src/c/type/libFloatComplex.la \ + $(top_builddir)/src/c/elementaryFunctions/round/libRound.la + +check_PROGRAMS = testFloatRound testDoubleRound + +TESTS = testFloatRound testDoubleRound + +# +# -*- Round Tests -*- +# +testFloatRound_SOURCES = testFloatRound.c +testFloatRound_CFLAGS = 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= @abs_top_builddir@ +abs_top_srcdir = @abs_top_srcdir@ +ac_ct_CC = @ac_ct_CC@ +ac_ct_CXX = @ac_ct_CXX@ +ac_ct_DUMPBIN = @ac_ct_DUMPBIN@ +ac_ct_F77 = @ac_ct_F77@ +am__include = @am__include@ +am__leading_dot = @am__leading_dot@ +am__quote = @am__quote@ +am__tar = @am__tar@ +am__untar = @am__untar@ +bindir = @bindir@ +build = @build@ +build_alias = @build_alias@ +build_cpu = @build_cpu@ +build_os = @build_os@ +build_vendor = @build_vendor@ +builddir = @builddir@ +datadir = @datadir@ +datarootdir = @datarootdir@ +docdir = @docdir@ +dvidir = @dvidir@ +exec_prefix = @exec_prefix@ +host = @host@ +host_alias = @host_alias@ +host_cpu = @host_cpu@ +host_os = @host_os@ +host_vendor = @host_vendor@ +htmldir = @htmldir@ +includedir = @includedir@ +infodir = @infodir@ +install_sh = @install_sh@ +libdir = @libdir@ +libexecdir = @libexecdir@ +localedir = @localedir@ +localstatedir = @localstatedir@ +lt_ECHO = @lt_ECHO@ +mandir = @mandir@ +mkdir_p = @mkdir_p@ +oldincludedir = @oldincludedir@ +pdfdir = @pdfdir@ +prefix = @prefix@ +program_transform_name = @program_transform_name@ +psdir = @psdir@ +sbindir = @sbindir@ +sharedstatedir = @sharedstatedir@ +srcdir = @srcdir@ +sysconfdir = @sysconfdir@ +target_alias = @target_alias@ +top_build_prefix = @top_build_prefix@ +top_builddir = @top_builddir@ +top_srcdir = @top_srcdir@ +libRound_la_CFLAGS = -I $(top_builddir)/src/c/type \ + -I $(top_builddir)/src/c/elementaryFunctions/includes + +instdir = $(top_builddir)/lib +pkglib_LTLIBRARIES = libRound.la +libRound_la_SOURCES = $(HEAD) $(SRC) +HEAD = ../includes/round.h +SRC = srounds.c \ + drounds.c \ + crounds.c \ + zrounds.c \ + srounda.c \ + drounda.c \ + crounda.c \ + zrounda.c + + +#### +# Checking Part +#### +check_INCLUDES = -I $(top_builddir)/src/c/elementaryFunctions/includes \ + -I $(top_builddir)/src/c/type + +check_LDADD = $(top_builddir)/src/c/type/libDoubleComplex.la \ + $(top_builddir)/src/c/type/libFloatComplex.la \ + $(top_builddir)/src/c/elementaryFunctions/round/libRound.la + + +# +# -*- Round Tests -*- +# +testFloatRound_SOURCES = testFloatRound.c +testFloatRound_CFLAGS = $(check_INCLUDES) +testFloatRound_LDADD = $(check_LDADD) +testDoubleRound_SOURCES = testDoubleRound.c +testDoubleRound_CFLAGS = $(check_INCLUDES) +testDoubleRound_LDADD = $(check_LDADD) +all: all-am + +.SUFFIXES: +.SUFFIXES: .c .lo .o .obj +$(srcdir)/Makefile.in: @MAINTAINER_MODE_TRUE@ $(srcdir)/Makefile.am $(am__configure_deps) + @for dep in $?; do \ + case '$(am__configure_deps)' in \ + *$$dep*) \ + ( cd $(top_builddir) && $(MAKE) $(AM_MAKEFLAGS) am--refresh ) \ + && { if test -f $@; then exit 0; else break; fi; }; \ + exit 1;; \ + esac; \ + done; \ + echo ' cd $(top_srcdir) && $(AUTOMAKE) --foreign src/c/elementaryFunctions/round/Makefile'; \ + $(am__cd) $(top_srcdir) && \ + $(AUTOMAKE) --foreign src/c/elementaryFunctions/round/Makefile +.PRECIOUS: Makefile +Makefile: $(srcdir)/Makefile.in $(top_builddir)/config.status + @case '$?' in \ + *config.status*) \ + cd $(top_builddir) && $(MAKE) $(AM_MAKEFLAGS) am--refresh;; \ + *) \ + echo ' cd $(top_builddir) && $(SHELL) ./config.status $(subdir)/$@ $(am__depfiles_maybe)'; \ + cd $(top_builddir) && $(SHELL) ./config.status $(subdir)/$@ $(am__depfiles_maybe);; \ + esac; + +$(top_builddir)/config.status: $(top_srcdir)/configure $(CONFIG_STATUS_DEPENDENCIES) + cd $(top_builddir) && $(MAKE) $(AM_MAKEFLAGS) am--refresh + +$(top_srcdir)/configure: @MAINTAINER_MODE_TRUE@ $(am__configure_deps) + cd $(top_builddir) && $(MAKE) $(AM_MAKEFLAGS) am--refresh +$(ACLOCAL_M4): @MAINTAINER_MODE_TRUE@ $(am__aclocal_m4_deps) + cd $(top_builddir) && $(MAKE) $(AM_MAKEFLAGS) am--refresh +$(am__aclocal_m4_deps): +install-pkglibLTLIBRARIES: $(pkglib_LTLIBRARIES) + @$(NORMAL_INSTALL) + test -z "$(pkglibdir)" || $(MKDIR_P) "$(DESTDIR)$(pkglibdir)" + @list='$(pkglib_LTLIBRARIES)'; test -n "$(pkglibdir)" || list=; \ + list2=; for p in $$list; do \ + if test -f $$p; then \ + list2="$$list2 $$p"; \ + else :; fi; \ + done; \ + test -z "$$list2" || { \ + echo " $(LIBTOOL) $(AM_LIBTOOLFLAGS) $(LIBTOOLFLAGS) --mode=install $(INSTALL) $(INSTALL_STRIP_FLAG) $$list2 '$(DESTDIR)$(pkglibdir)'"; \ + $(LIBTOOL) $(AM_LIBTOOLFLAGS) $(LIBTOOLFLAGS) --mode=install $(INSTALL) $(INSTALL_STRIP_FLAG) $$list2 "$(DESTDIR)$(pkglibdir)"; \ + } + +uninstall-pkglibLTLIBRARIES: + @$(NORMAL_UNINSTALL) + @list='$(pkglib_LTLIBRARIES)'; test -n "$(pkglibdir)" || list=; \ + for p in $$list; do \ + $(am__strip_dir) \ + echo " $(LIBTOOL) $(AM_LIBTOOLFLAGS) $(LIBTOOLFLAGS) --mode=uninstall rm -f '$(DESTDIR)$(pkglibdir)/$$f'"; \ + $(LIBTOOL) $(AM_LIBTOOLFLAGS) $(LIBTOOLFLAGS) --mode=uninstall rm -f "$(DESTDIR)$(pkglibdir)/$$f"; \ + done + +clean-pkglibLTLIBRARIES: + -test -z "$(pkglib_LTLIBRARIES)" || rm -f $(pkglib_LTLIBRARIES) + @list='$(pkglib_LTLIBRARIES)'; for p in $$list; do \ + dir="`echo $$p | sed -e 's|/[^/]*$$||'`"; \ + test "$$dir" != "$$p" || dir=.; \ + echo "rm -f \"$${dir}/so_locations\""; \ + rm -f "$${dir}/so_locations"; \ + done +libRound.la: $(libRound_la_OBJECTS) $(libRound_la_DEPENDENCIES) + $(libRound_la_LINK) -rpath $(pkglibdir) $(libRound_la_OBJECTS) $(libRound_la_LIBADD) $(LIBS) + +clean-checkPROGRAMS: + @list='$(check_PROGRAMS)'; test -n "$$list" || exit 0; \ + echo " rm -f" $$list; \ + rm -f $$list || exit $$?; \ + test -n "$(EXEEXT)" || exit 0; \ + list=`for p in $$list; do echo "$$p"; done | sed 's/$(EXEEXT)$$//'`; \ + echo " rm -f" $$list; \ + rm -f $$list +testDoubleRound$(EXEEXT): $(testDoubleRound_OBJECTS) $(testDoubleRound_DEPENDENCIES) + @rm -f testDoubleRound$(EXEEXT) + $(testDoubleRound_LINK) $(testDoubleRound_OBJECTS) $(testDoubleRound_LDADD) $(LIBS) +testFloatRound$(EXEEXT): $(testFloatRound_OBJECTS) $(testFloatRound_DEPENDENCIES) + @rm -f testFloatRound$(EXEEXT) + $(testFloatRound_LINK) $(testFloatRound_OBJECTS) $(testFloatRound_LDADD) $(LIBS) + +mostlyclean-compile: + -rm -f *.$(OBJEXT) + +distclean-compile: + -rm -f 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+1,19 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Arnaud Torset + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "round.h" + +void crounda(floatComplex* x, int size, floatComplex* out) { + int i=0; + + for (i=0;i<size;i++) out[i]=crounds(x[i]); +} diff --git a/2.3-1/src/c/elementaryFunctions/round/crounds.c b/2.3-1/src/c/elementaryFunctions/round/crounds.c new file mode 100644 index 00000000..598fd16b --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/round/crounds.c @@ -0,0 +1,29 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Arnaud Torset + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + + +#include "round.h" + +floatComplex crounds(floatComplex x) { + int roundReal; + int roundImag; + + if (creals(x)>=0) roundReal = (int)(creals(x)+0.5); + else roundReal = (int)(creals(x)-0.5); + + + + if (cimags(x)>=0) roundImag = (int)(cimags(x)+0.5); + else roundImag = (int)(cimags(x)-0.5); + + return FloatComplex((float)roundReal, (float)roundImag); +} diff --git a/2.3-1/src/c/elementaryFunctions/round/drounda.c b/2.3-1/src/c/elementaryFunctions/round/drounda.c new file mode 100644 index 00000000..e3440969 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/round/drounda.c @@ -0,0 +1,20 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Arnaud Torset + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + + +#include "round.h" + +void drounda(double* x, int size, double* out) { + int i=0; + + for (i=0;i<size;i++) out[i]=drounds(x[i]); +} diff --git a/2.3-1/src/c/elementaryFunctions/round/drounds.c b/2.3-1/src/c/elementaryFunctions/round/drounds.c new file mode 100644 index 00000000..5cc46429 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/round/drounds.c @@ -0,0 +1,22 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Arnaud Torset + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + + +#include "round.h" + +double drounds(double x) { + int result; + if(x>=0) result = (int)(x+0.5); + else result = (int)(x-0.5); + + return (double)result; +} diff --git a/2.3-1/src/c/elementaryFunctions/round/srounda.c b/2.3-1/src/c/elementaryFunctions/round/srounda.c new file mode 100644 index 00000000..785c7c9d --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/round/srounda.c @@ -0,0 +1,20 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Arnaud Torset + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + + +#include "round.h" + +void srounda(float* x, int size, float* out) { + int i=0; + + for (i=0;i<size;i++) out[i]=srounds(x[i]); +} diff --git a/2.3-1/src/c/elementaryFunctions/round/srounds.c b/2.3-1/src/c/elementaryFunctions/round/srounds.c new file mode 100644 index 00000000..17ae537d --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/round/srounds.c @@ -0,0 +1,23 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Arnaud Torset + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + + +#include "round.h" + +float srounds(float x) { + int result; + + if(x>=0) result = (int)(x+0.5); + else result = (int)(x-0.5); + + return (float)result; +} diff --git a/2.3-1/src/c/elementaryFunctions/round/testDoubleRound.c b/2.3-1/src/c/elementaryFunctions/round/testDoubleRound.c new file mode 100644 index 00000000..5844a39b --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/round/testDoubleRound.c @@ -0,0 +1,152 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008 - INRIA - Arnaud TORSET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + + +#include <assert.h> +#include <math.h> +#include <stdio.h> +#include "round.h" + +static void droundsTest(void) { + assert ((fabs( drounds(-2) - (-2))/fabs(drounds(-2)))<1e-16); + assert ((fabs( drounds(-1.9) - (-2))/fabs(drounds(-1.9)))<1e-16); + assert ((fabs( drounds(-1.8) - (-2))/fabs(drounds(-1.8)))<1e-16); + assert ((fabs( drounds(-1.7) - (-2))/fabs(drounds(-1.7)))<1e-16); + assert ((fabs( drounds(-1.6) - (-2))/fabs(drounds(-1.6)))<1e-16); + assert ((fabs( drounds(-1.5) - (-2))/fabs(drounds(-1.5)))<1e-16); + assert ((fabs( drounds(-1.4) - (-1))/fabs(drounds(-1.4)))<1e-16); + assert ((fabs( drounds(-1.3) - (-1))/fabs(drounds(-1.3)))<1e-16); + assert ((fabs( drounds(-1.2) - (-1))/fabs(drounds(-1.2)))<1e-16); + assert ((fabs( drounds(-1.1) - (-1))/fabs(drounds(-1.1)))<1e-16); + assert ((fabs( drounds(-1.0) - (-1))/fabs(drounds(-1.0)))<1e-16); + assert ((fabs( drounds(-0.9) - (-1))/fabs(drounds(-0.9)))<1e-16); + assert ((fabs( drounds(1.0) - (1))/fabs(drounds(1.0)))<1e-16); + assert ((fabs( drounds(1.1) - (1))/fabs(drounds(1.1)))<1e-16); + assert ((fabs( drounds(1.2) - (1))/fabs(drounds(1.2)))<1e-16); + assert ((fabs( drounds(1.3) - (1))/fabs(drounds(1.3)))<1e-16); + assert ((fabs( drounds(1.4) - (1))/fabs(drounds(1.4)))<1e-16); + assert ((fabs( drounds(1.5) - (2))/fabs(drounds(1.5)))<1e-16); + assert ((fabs( drounds(1.6) - (2))/fabs(drounds(1.6)))<1e-16); + assert ((fabs( drounds(1.7) - (2))/fabs(drounds(1.7)))<1e-16); + assert ((fabs( drounds(1.8) - (2))/fabs(drounds(1.8)))<1e-16); + assert ((fabs( drounds(1.9) - (2))/fabs(drounds(1.9)))<1e-16); + assert ((fabs( drounds(2.0) - (2))/fabs(drounds(2.0)))<1e-16); + +} + +static void zroundsTest(void) { + doubleComplex in, out; + + + /* tests allant de -2 + i a -1 + 2*i, les reels décroissants de 0.1, les imaginaires croissant de 0.1 + + 1 test supplementaire : -0.9 + 0.9*i*/ + + in=DoubleComplex(-2,1); + out = zrounds(in); + assert ((fabs( zreals(out) - (-2))/fabs(zreals(out)))<1e-16); + assert ((fabs( zimags(out) - (1))/fabs(zimags(out)))<1e-16); + in=DoubleComplex(-1.9,1.1); + out = zrounds(in); + assert ((fabs( zreals(out) - (-2))/fabs(zreals(out)))<1e-16); + assert ((fabs( zimags(out) - (1))/fabs(zimags(out)))<1e-16); + in=DoubleComplex(-1.8,1.2); + out = zrounds(in); + assert ((fabs( zreals(out) - (-2))/fabs(zreals(out)))<1e-16); + assert ((fabs( zimags(out) - (1))/fabs(zimags(out)))<1e-16); + in=DoubleComplex(-1.7,1.3); + out = zrounds(in); + assert ((fabs( zreals(out) - (-2))/fabs(zreals(out)))<1e-16); + assert ((fabs( zimags(out) - (1))/fabs(zimags(out)))<1e-16); + in=DoubleComplex(-1.6,1.4); + out = zrounds(in); + assert ((fabs( zreals(out) - (-2))/fabs(zreals(out)))<1e-16); + assert ((fabs( zimags(out) - (1))/fabs(zimags(out)))<1e-16); + in=DoubleComplex(-1.5,1.5); + out = zrounds(in); + assert ((fabs( zreals(out) - (-2))/fabs(zreals(out)))<1e-16); + assert ((fabs( zimags(out) - (2))/fabs(zimags(out)))<1e-16); + in=DoubleComplex(-1.4,1.6); + out = zrounds(in); + assert ((fabs( zreals(out) - (-1))/fabs(zreals(out)))<1e-16); + assert ((fabs( zimags(out) - (2))/fabs(zimags(out)))<1e-16); + in=DoubleComplex(-1.3,1.7); + out = zrounds(in); + assert ((fabs( zreals(out) - (-1))/fabs(zreals(out)))<1e-16); + assert ((fabs( zimags(out) - (2))/fabs(zimags(out)))<1e-16); + in=DoubleComplex(-1.2,1.8); + out = zrounds(in); + assert ((fabs( zreals(out) - (-1))/fabs(zreals(out)))<1e-16); + assert ((fabs( zimags(out) - (2))/fabs(zimags(out)))<1e-16); + in=DoubleComplex(-1.1,1.9); + out = zrounds(in); + assert ((fabs( zreals(out) - (-1))/fabs(zreals(out)))<1e-16); + assert ((fabs( zimags(out) - (2))/fabs(zimags(out)))<1e-16); + in=DoubleComplex(-1.0,2.0); + out = zrounds(in); + assert ((fabs( zreals(out) - (-1))/fabs(zreals(out)))<1e-16); + assert ((fabs( zimags(out) - (2))/fabs(zimags(out)))<1e-16); + in=DoubleComplex(-.9,.9); + out = zrounds(in); + assert ((fabs( zreals(out) - (-1))/fabs(zreals(out)))<1e-16); + assert ((fabs( zimags(out) - (1))/fabs(zimags(out)))<1e-16); + +} + +static void droundaTest(void) { + int i; + double in[10]={1.2, 2.0,-2.0,-3.1,-4.5,6.1,4.1,4.9,-0.7, 0.5}; + double res[10]={1,2,-2,-3,-5,6,4,5,-1,1}; + double out[10]; + + drounda(in,10,out); + + for (i=0;i<10;i++) + if (out[i]!=0) assert(fabs(out[i]-res[i])/fabs(out[i]) <1e-16); + else assert(fabs(out[i]-res[i]) <1e-16); + +} + +static void zroundaTest(void) { + int i; + double inR[10]={1.2, 2.0,-2.0,-3.1,-4.5,6.1,4.1,4.9,-0.7, 0.5}; + double inI[10]={5.4,1.8,1.4,-4.0,-2.7,-0.3,1.5,1.4,7.3,-4.6}; + double resR[10]={1,2,-2,-3,-5,6,4,5,-1,1}; + double resI[10]={5,2,1,-4,-3,0,2,1,7,-5}; + doubleComplex out[10],*in; + + in=DoubleComplexMatrix(inR,inI,10); + zrounda(in,10,out); + + for (i=0;i<10;i++){ + if (zreals(out[i])!=0) assert(fabs(zreals(out[i])-resR[i])/fabs(zreals(out[i])) <1e-16); + else assert(fabs(zreals(out[i])-resR[i]) <1e-16); + if (zimags(out[i])!=0) assert(fabs(zimags(out[i])-resI[i])/fabs(zimags(out[i])) <1e-16); + else assert(fabs(zimags(out[i])-resI[i]) <1e-16); + } + +} + + +static int testRound() { + printf("\n>>>> Double Round Tests\n"); + droundsTest(); + zroundsTest(); + droundaTest(); + zroundaTest(); + + return 0; +} + +int main() { + assert(testRound() == 0); + return 0; +} diff --git a/2.3-1/src/c/elementaryFunctions/round/testFloatRound.c b/2.3-1/src/c/elementaryFunctions/round/testFloatRound.c new file mode 100644 index 00000000..faac7665 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/round/testFloatRound.c @@ -0,0 +1,148 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008 - INRIA - Arnaud TORSET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + + +#include <assert.h> +#include <math.h> +#include <stdio.h> +#include "round.h" + +static void sroundsTest(void) { + + assert ((fabs( srounds(-2) - (-2))/fabs(srounds(-2)))<1e-16); + assert ((fabs( srounds(-1.9f) - (-2))/fabs(srounds(-1.9f)))<1e-16); + assert ((fabs( srounds(-1.8f) - (-2))/fabs(srounds(-1.8f)))<1e-16); + assert ((fabs( srounds(-1.7f) - (-2))/fabs(srounds(-1.7f)))<1e-16); + assert ((fabs( srounds(-1.6f) - (-2))/fabs(srounds(-1.6f)))<1e-16); + assert ((fabs( srounds(-1.5f) - (-2))/fabs(srounds(-1.5f)))<1e-16); + assert ((fabs( srounds(-1.4f) - (-1))/fabs(srounds(-1.4f)))<1e-16); + assert ((fabs( srounds(-1.3f) - (-1))/fabs(srounds(-1.3f)))<1e-16); + assert ((fabs( srounds(-1.2f) - (-1))/fabs(srounds(-1.2f)))<1e-16); + assert ((fabs( srounds(-1.1f) - (-1))/fabs(srounds(-1.1f)))<1e-16); + assert ((fabs( srounds(-1.0f) - (-1))/fabs(srounds(-1.0f)))<1e-16); + assert ((fabs( srounds(-0.9f) - (-1))/fabs(srounds(-0.9f)))<1e-16); + assert ((fabs( srounds(1.0f) - (1))/fabs(srounds(1.0f)))<1e-16); + assert ((fabs( srounds(1.1f) - (1))/fabs(srounds(1.1f)))<1e-16); + assert ((fabs( srounds(1.2f) - (1))/fabs(srounds(1.2f)))<1e-16); + assert ((fabs( srounds(1.3f) - (1))/fabs(srounds(1.3f)))<1e-16); + assert ((fabs( srounds(1.4f) - (1))/fabs(srounds(1.4f)))<1e-16); + assert ((fabs( srounds(1.5f) - (2))/fabs(srounds(1.5f)))<1e-16); + assert ((fabs( srounds(1.6f) - (2))/fabs(srounds(1.6f)))<1e-16); + assert ((fabs( srounds(1.7f) - (2))/fabs(srounds(1.7f)))<1e-16); + assert ((fabs( srounds(1.8f) - (2))/fabs(srounds(1.8f)))<1e-16); + assert ((fabs( srounds(1.9f) - (2))/fabs(srounds(1.9f)))<1e-16); + assert ((fabs( srounds(2.0f) - (2))/fabs(srounds(2.0f)))<1e-16); +} + +static void croundsTest(void) { + floatComplex in, out; + + + /* tests allant de -2 + i a -1 + 2*i, les reels décroissants de 0.1, les imaginaires croissant de 0.1 + + 1 test supplementaire : -0.9 + 0.9*i*/ + + in=FloatComplex(-2,1); + out = crounds(in); + assert ((fabs( creals(out) - (-2))/fabs(creals(out)))<1e-16); + assert ((fabs( cimags(out) - (1))/fabs(cimags(out)))<1e-16); + in=FloatComplex(-1.9f,1.1f); + out = crounds(in); + assert ((fabs( creals(out) - (-2))/fabs(creals(out)))<1e-16); + assert ((fabs( cimags(out) - (1))/fabs(cimags(out)))<1e-16); + in=FloatComplex(-1.8f,1.2f); + out = crounds(in); + assert ((fabs( creals(out) - (-2))/fabs(creals(out)))<1e-16); + assert ((fabs( cimags(out) - (1))/fabs(cimags(out)))<1e-16); + in=FloatComplex(-1.7f,1.3f); + out = crounds(in); + assert ((fabs( creals(out) - (-2))/fabs(creals(out)))<1e-16); + assert ((fabs( cimags(out) - (1))/fabs(cimags(out)))<1e-16); + in=FloatComplex(-1.6f,1.4f); + out = crounds(in); + assert ((fabs( creals(out) - (-2))/fabs(creals(out)))<1e-16); + assert ((fabs( cimags(out) - (1))/fabs(cimags(out)))<1e-16); + in=FloatComplex(-1.5f,1.5f); + out = crounds(in); + assert ((fabs( creals(out) - (-2))/fabs(creals(out)))<1e-16); + assert ((fabs( cimags(out) - (2))/fabs(cimags(out)))<1e-16); + in=FloatComplex(-1.4f,1.6f); + out = crounds(in); + assert ((fabs( creals(out) - (-1))/fabs(creals(out)))<1e-16); + assert ((fabs( cimags(out) - (2))/fabs(cimags(out)))<1e-16); + in=FloatComplex(-1.3f,1.7f); + out = crounds(in); + assert ((fabs( creals(out) - (-1))/fabs(creals(out)))<1e-16); + assert ((fabs( cimags(out) - (2))/fabs(cimags(out)))<1e-16); + in=FloatComplex(-1.2f,1.8f); + out = crounds(in); + assert ((fabs( creals(out) - (-1))/fabs(creals(out)))<1e-16); + assert ((fabs( cimags(out) - (2))/fabs(cimags(out)))<1e-16); + in=FloatComplex(-1.1f,1.9f); + out = crounds(in); + assert ((fabs( creals(out) - (-1))/fabs(creals(out)))<1e-16); + assert ((fabs( cimags(out) - (2))/fabs(cimags(out)))<1e-16); + in=FloatComplex(-1.0f,2.0f); + out = crounds(in); + assert ((fabs( creals(out) - (-1))/fabs(creals(out)))<1e-16); + assert ((fabs( cimags(out) - (2))/fabs(cimags(out)))<1e-16); + in=FloatComplex(-.9f,.9f); + out = crounds(in); + assert ((fabs( creals(out) - (-1))/fabs(creals(out)))<1e-16); + assert ((fabs( cimags(out) - (1))/fabs(cimags(out)))<1e-16); +} + +static void sroundaTest(void) { + int i; + float in[10]={1.2f, 2.0f,-2.0f,-3.1f,-4.5f,6.1f,4.1f,4.9f,-0.7f, 0.5f}; + float res[10]={1,2,-2,-3,-5,6,4,5,-1,1}; + float out[10]; + + srounda(in,10,out); + + for (i=0;i<10;i++) + if (out[i]!=0) assert(fabs(out[i]-res[i])/fabs(out[i]) <1e-16); + else assert(fabs(out[i]-res[i]) <1e-16); +} + +static void croundaTest(void) { + int i; + float inR[10]={1.2f, 2.0f,-2.0f,-3.1f,-4.5f,6.1f,4.1f,4.9f,-0.7f, 0.5f}; + float inI[10]={5.4f,1.8f,1.4f,-4.0f,-2.7f,-0.3f,1.5f,1.4f,7.3f,-4.6f}; + float resR[10]={1,2,-2,-3,-5,6,4,5,-1,1}; + float resI[10]={5,2,1,-4,-3,0,2,1,7,-5}; + floatComplex out[10],*in; + + in=FloatComplexMatrix(inR,inI,10); + crounda(in,10,out); + + for (i=0;i<10;i++){ + if (creals(out[i])!=0) assert(fabs(creals(out[i])-resR[i])/fabs(creals(out[i])) <1e-16); + else assert(fabs(creals(out[i])-resR[i]) <1e-16); + if (cimags(out[i])!=0) assert(fabs(cimags(out[i])-resI[i])/fabs(cimags(out[i])) <1e-16); + else assert(fabs(cimags(out[i])-resI[i]) <1e-16); + } +} + +static int testRound() { + printf("\n>>>> Float Round Tests\n"); + sroundsTest(); + croundsTest(); + sroundaTest(); + croundaTest(); + + return 0; +} + +int main() { + assert(testRound() == 0); + return 0; +} diff --git a/2.3-1/src/c/elementaryFunctions/round/zrounda.c b/2.3-1/src/c/elementaryFunctions/round/zrounda.c new file mode 100644 index 00000000..1356e459 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/round/zrounda.c @@ -0,0 +1,20 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Arnaud Torset + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "fix.h" +#include "round.h" + +void zrounda(doubleComplex* x, int size, doubleComplex* out) { + int i=0; + + for (i=0;i<size;i++) out[i]=zrounds(x[i]); +} diff --git a/2.3-1/src/c/elementaryFunctions/round/zrounds.c b/2.3-1/src/c/elementaryFunctions/round/zrounds.c new file mode 100644 index 00000000..3f723adf --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/round/zrounds.c @@ -0,0 +1,29 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Arnaud Torset + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + + +#include "round.h" + +doubleComplex zrounds(doubleComplex x) { + int roundReal; + int roundImag; + + if (zreals(x)>=0) roundReal = (int)(zreals(x)+0.5); + else roundReal = (int)(zreals(x)-0.5); + + + + if (zimags(x)>=0) roundImag = (int)(zimags(x)+0.5); + else roundImag = (int)(zimags(x)-0.5); + + return DoubleComplex((double)roundReal, (double)roundImag); +} diff --git a/2.3-1/src/c/elementaryFunctions/sin/Makefile.am b/2.3-1/src/c/elementaryFunctions/sin/Makefile.am new file mode 100644 index 00000000..4f58c56e --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/sin/Makefile.am @@ -0,0 +1,68 @@ +## +## Scilab ( http://www.scilab.org/ ) - This file is part of Scilab +## Copyright (C) 2006-2008 - INRIA - Bruno JOFRET +## +## This file must be used under the terms of the CeCILL. +## This source file is licensed as described in the file COPYING, which +## you should have received as part of this distribution. The terms +## are also available at +## http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt +## +## + +libSin_la_CFLAGS = -I ../../type \ + -I ../includes + +instdir = $(top_builddir)/lib + +pkglib_LTLIBRARIES = libSin.la + +libSin_la_SOURCES = $(HEAD) $(SRC) + +SRC = ssins.c \ + dsins.c \ + csins.c \ + zsins.c \ + ssina.c \ + dsina.c \ + csina.c \ + zsina.c + +HEAD = ../includes/sin.h + +#### +# Checking Part +#### + +check_INCLUDES = -I $(top_builddir)/src/c/elementaryFunctions/includes \ + -I $(top_builddir)/src/c/type + +check_LDADD = $(top_builddir)/src/c/type/libDoubleComplex.la \ + $(top_builddir)/src/c/type/libFloatComplex.la \ + $(top_builddir)/src/c/operations/addition/libAddition.la \ + $(top_builddir)/src/fortran/lapack/libscilapack.la \ + $(top_builddir)/src/c/elementaryFunctions/sin/libSin.la \ + $(top_builddir)/src/c/elementaryFunctions/cos/libCos.la \ + $(top_builddir)/src/c/elementaryFunctions/sinh/libSinh.la \ + $(top_builddir)/src/c/elementaryFunctions/exp/libExp.la \ + $(top_builddir)/src/c/elementaryFunctions/cosh/libCosh.la \ + $(top_builddir)/src/c/elementaryFunctions/sqrt/libSqrt.la \ + $(top_builddir)/src/c/auxiliaryFunctions/abs/libAbs.la \ + $(top_builddir)/src/c/auxiliaryFunctions/pythag/libPythag.la \ + $(top_builddir)/src/c/operations/multiplication/libMultiplication.la \ + @LIBMATH@ + +check_PROGRAMS = testFloatSin testDoubleSin + +TESTS = testFloatSin testDoubleSin + +# +# -*- Sine Tests -*- +# +testFloatSin_SOURCES = testSin.h testFloatSin.c +testFloatSin_CFLAGS = $(check_INCLUDES) +testFloatSin_LDADD = $(check_LDADD) + +testDoubleSin_SOURCES = testSin.h testDoubleSin.c +testDoubleSin_CFLAGS = $(check_INCLUDES) +testDoubleSin_LDADD = $(check_LDADD) diff --git a/2.3-1/src/c/elementaryFunctions/sin/Makefile.in b/2.3-1/src/c/elementaryFunctions/sin/Makefile.in new file mode 100644 index 00000000..4b7729a3 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/sin/Makefile.in @@ -0,0 +1,808 @@ +# Makefile.in generated by automake 1.11.1 from Makefile.am. +# @configure_input@ + +# Copyright (C) 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002, +# 2003, 2004, 2005, 2006, 2007, 2008, 2009 Free Software Foundation, +# Inc. +# This Makefile.in is free software; the Free Software Foundation +# gives unlimited permission to copy and/or distribute it, +# with or without modifications, as long as this notice is preserved. + +# This program is distributed in the hope that it will be useful, +# but WITHOUT ANY WARRANTY, to the extent permitted by law; without +# even the implied warranty of MERCHANTABILITY or FITNESS FOR A +# PARTICULAR PURPOSE. + +@SET_MAKE@ + +VPATH = @srcdir@ +pkgdatadir = $(datadir)/@PACKAGE@ +pkgincludedir = $(includedir)/@PACKAGE@ +pkglibdir = $(libdir)/@PACKAGE@ +pkglibexecdir = $(libexecdir)/@PACKAGE@ +am__cd = CDPATH="$${ZSH_VERSION+.}$(PATH_SEPARATOR)" && cd +install_sh_DATA = $(install_sh) -c -m 644 +install_sh_PROGRAM = $(install_sh) -c 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new file mode 100644 index 00000000..e4fb1aae --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/sin/csina.c @@ -0,0 +1,20 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "sin.h" + +void csina(floatComplex* x, int size, floatComplex* y) { + int i = 0; + for (i = 0; i < size; ++i) { + y[i] = csins(x[i]); + } +} diff --git a/2.3-1/src/c/elementaryFunctions/sin/csins.c b/2.3-1/src/c/elementaryFunctions/sin/csins.c new file mode 100644 index 00000000..e48491c2 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/sin/csins.c @@ -0,0 +1,23 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "sin.h" +#include "cos.h" +#include "sinh.h" +#include "cosh.h" + +floatComplex csins(floatComplex z) { + float real = creals(z); + float imag = cimags(z); + + return(FloatComplex(ssins(real) * scoshs(imag), scoss(real) * ssinhs(imag))); +} diff --git a/2.3-1/src/c/elementaryFunctions/sin/dsina.c b/2.3-1/src/c/elementaryFunctions/sin/dsina.c new file mode 100644 index 00000000..e290845e --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/sin/dsina.c @@ -0,0 +1,20 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "sin.h" + +void dsina(double* x, int size, double* y) { + int i = 0; + for (i = 0; i < size; ++i) { + y[i] = dsins(x[i]); + } +} diff --git a/2.3-1/src/c/elementaryFunctions/sin/dsins.c b/2.3-1/src/c/elementaryFunctions/sin/dsins.c new file mode 100644 index 00000000..2acd0294 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/sin/dsins.c @@ -0,0 +1,18 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include <math.h> +#include "sin.h" + +double dsins(double x) { + return (sin(x)); +} diff --git a/2.3-1/src/c/elementaryFunctions/sin/ssina.c b/2.3-1/src/c/elementaryFunctions/sin/ssina.c new file mode 100644 index 00000000..39288cc4 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/sin/ssina.c @@ -0,0 +1,20 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "sin.h" + +void ssina(float* x, int size, float* y) { + int i = 0; + for (i = 0; i < size; ++i) { + y[i] = ssins(x[i]); + } +} diff --git a/2.3-1/src/c/elementaryFunctions/sin/ssins.c b/2.3-1/src/c/elementaryFunctions/sin/ssins.c new file mode 100644 index 00000000..2bc52da8 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/sin/ssins.c @@ -0,0 +1,18 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include <math.h> +#include "sin.h" + +float ssins(float x) { + return (sinf(x)); +} diff --git a/2.3-1/src/c/elementaryFunctions/sin/testDoubleSin.c b/2.3-1/src/c/elementaryFunctions/sin/testDoubleSin.c new file mode 100644 index 00000000..f5407331 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/sin/testDoubleSin.c @@ -0,0 +1,498 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008 - INRIA - Arnaud TORSET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "testSin.h" + + +#define SOURCE {0.7062616096809506416321,0.4090520101599395275116,0.3011248558759689331055,\ +0.1880126395262777805328,0.1796709178015589714050,0.2828889950178563594818,\ +0.7232380937784910202026,0.7360379849560558795929,0.1852612206712365150452,\ +0.7703790138475596904755,0.1914967410266399383545,0.7521587223745882511139,\ +0.6205883463844656944275,0.2807604051195085048676,0.2289868686348199844360,\ +0.5049233403988182544708,0.8354099662974476814270,0.8174716415815055370331,\ +0.0030740275979042053223,0.3677616142667829990387,0.8278525872156023979187,\ +0.72754097869619727135,0.5323124285787343978882,0.9267726917751133441925,\ +0.9542504185810685157776,0.3162104780785739421845,0.5789009965956211090088,\ +0.6881225542165338993073,0.3714061146602034568787,0.1705444059334695339203,\ +0.1954363007098436355591,0.978800852317363023758,0.9300233917310833930969,\ +0.5357720064930617809296,0.3947123587131500244141,0.1344871171750128269196,\ +0.7380615202710032463074,0.588114650454372167587,0.9113173168152570724487,\ +0.5682763461954891681671,0.1127616921439766883850,0.9478473584167659282684,\ +0.5237770043313503265381,0.8140139640308916568756,0.1400952627882361412048,\ +0.2763446993194520473480,0.9059953633695840835571,0.1379901585169136524200,\ +0.5603838684037327766419,0.3008610638789832592011,0.4767417535185813904,\ +0.8127435916103422641754,0.1988414181396365165710,0.1107953130267560482025,\ +0.2159351315349340438843,0.6467244853265583515167,0.6597879612818360328674,\ +0.0691898013465106487274,0.9164751060307025909424,0.8635670826770365238190,\ +0.5032854294404387474060,0.1832137755118310451508,0.8403698671609163284302,\ +0.9247214836068451404572,0.6229452537372708320618,0.2773811477236449718475,\ +0.2479109913110733032227,0.3891948559321463108063,0.0436578569933772087097,\ +0.8132526441477239131928,0.7686451207846403121948,0.4041520212776958942413,\ +0.8579940209165215492249,0.6993723283521831035614,0.0828925184905529022217,\ +0.9201254160143435001373,0.5200281282886862754822,0.9351884997449815273285,\ +0.8825624976307153701782,0.2245844271965324878693,0.2153332801535725593567,\ +0.4327089670114219188690,0.5800157263875007629395,0.8876141034997999668121,\ +0.5258982880041003227234,0.859640696551650762558,0.7337234076112508773804,\ +0.7134532411582767963409,0.1087165409699082374573,0.8477638359181582927704,\ +0.6594733335077762603760,0.7916418449021875858307,0.6067967480048537254334,\ +0.4102901122532784938812,0.1958728153258562088013,0.241527963895350694656,\ +0.5113455550745129585266,0.9119556057266891002655,0.0928984880447387695313,\ +0.7438839026726782321930,0.1938720373436808586121,0.4355978979729115962982,\ +0.9922429900616407394409,0.4533818070776760578156,0.8269640663638710975647,\ +0.8889675955288112163544,0.4682085178792476654053,0.3856786251999437808991,\ +0.4124865522608160972595,0.6955242282710969448090,0.0978972557932138442993,\ +0.8728604433126747608185,0.6359515609219670295715,0.4129665228538215160370,\ +0.0294486805796623229980,0.1809961968101561069489,0.7658103061839938163757,\ +0.1232470511458814144135,0.0170737411826848983765,0.8835507561452686786652,\ +0.3164170170202851295471,0.9378212536685168743134,0.3916359134018421173096,\ +0.0844073877669870853424,0.6934146797284483909607,0.4618808380328118801117,\ +0.9355291295796632766724,0.0842495900578796863556,0.5402926551178097724915,\ +0.5613215523771941661835,0.1306025832891464233398,0.5840523042716085910797,\ +0.0048661706969141960144,0.2761953338049352169037,0.7478824090212583541870,\ +0.0194325004704296588898,0.6444276878610253334045,0.2243968318216502666473,\ +0.2478402368724346160889,0.1196091384626924991608,0.1883201440796256065369,\ +0.3393343067727982997894,0.959958622232079505920,0.2847225037403404712677,\ +0.8766820700839161872864,0.2853349032811820507050,0.5103433504700660705566,\ +0.8752629184164106845856,0.5941145820543169975281,0.3945342986844480037689,\ +0.4661326166242361068726,0.0073588271625339984894,0.5170202488079667091370,\ +0.4690007264725863933563,0.6654530800879001617432,0.9476742581464350223541,\ +0.4933638339862227439880,0.2918433747254312038422,0.2016727942973375320435,\ +0.7016656589694321155548,0.8736049132421612739563,0.191055159550160169601,\ +0.5307010114192962646484,0.8889481076039373874664,0.0115523664280772209167,\ +0.4998398735187947750092,0.6700848620384931564331,0.4995208983309566974640,\ +0.1538907447829842567444,0.2571737091057002544403,0.9586529098451137542725,\ +0.6246025026775896549225,0.9371285131201148033142,0.9923511571250855922699,\ +0.3454555813223123550415,0.7558249053545296192169,0.2107181670144200325012,\ +0.9372652801685035228729,0.6767524704337120056152,0.7465373151935636997223,\ +0.4050982249900698661804,0.5101723610423505306244,0.9497965183109045028687,\ +0.0289692510850727558136,0.1634070957079529762268,0.4146909262053668498993,\ +0.0021650679409503936768,0.1810030029155313968658,0.4556188201531767845154,\ +0.1977851442061364650726,0.6053877938538789749146,0.4363054675050079822540,\ +0.8938506888225674629211,0.6104825991205871105194,0.4316215068101882934570,\ +0.2315693595446646213532,0.4675927339121699333191,0.6150764389894902706146,\ +0.8621218334883451461792,0.3846137975342571735382} + +#define RESULT {0.6489941700631755017170,0.3977397277804613495711,0.2965946353370927379700,\ +0.1869069269006927436205,0.1787057982923107302131,0.2791309758033572174796,\ +0.6618156282674139134770,0.6713568034120557248556,0.1842032905163836498108,\ +0.6964072867055017823645,0.1903284889107588750967,0.6832166836832923584311,\ +0.5815139023939676077291,0.2770863600724933761832,0.2269909547378782532778,\ +0.4837403483762576783533,0.7415716096535567292136,0.7294185948731235491493,\ +0.0030740227564945614772,0.3595276195652636896938,0.7364804339477919459256,\ +0.6650352209120763413708,0.5075271675293236972593,0.7996863750649069180199,\ +0.8158805463618925557512,0.3109671621400240670852,0.5471043307230858410151,\ +0.6350880886600825947497,0.3629260331962892438540,0.1697188821645874701183,\ +0.1941945483009222261916,0.8298288212470000813070,0.8016339250362096713332,\ +0.5105050203992042012757,0.3845426809733389905688,0.1340820770536885198077,\ +0.6728551393063956220786,0.5547934214048261258867,0.7903115520300768581663,\ +0.5381801020151927295032,0.1125228794588504499519,0.8121614659213718390163,\ +0.5001543426683193738214,0.7270489540313778142888,0.1396374447476722568950,\ +0.2728408635666067505454,0.787039586876701835472,0.1375526569581922986529,\ +0.5315113932434574195440,0.2963427027488344522865,0.4588866814078613742822,\ +0.7261761481530248918404,0.1975337103519642922844,0.1105687722679299794804,\ +0.2142609363196769090010,0.6025755797169196625873,0.6129493292515678648513,\ +0.0691346099927565571619,0.7934612300206389523538,0.7601650349312217835873,\ +0.4823061815340158875465,0.1821904962108664982612,0.7448899416114136418088,\ +0.7984531114259775241848,0.5834297155392762501691,0.2738378415422391687351,\ +0.2453793544289556705085,0.3794436069308826930957,0.0436439896074229186085,\ +0.7265260320935078564020,0.6951619177333813182074,0.3932392395246541161313,\ +0.756532263098035340221,0.6437374906114369244037,0.0827976230060826490220,\ +0.7956775933285428203945,0.4969045479155810296490,0.8047109984386738856799,\ +0.7723690449233312493860,0.2227012449582090047873,0.2136730232885993008285,\ +0.4193316280451939714880,0.5480370912598671040428,0.7755678252599553790248,\ +0.5019901124659599256361,0.7576080909498315030248,0.6696395939777050054786,\ +0.6544486857456611739181,0.1085025088408962251618,0.7498026974031274383137,\ +0.6127007045227848003322,0.7115079193085073194780,0.5702389863986391249640,\ +0.3988753791946258453471,0.1946227344887739574286,0.2391865177264060060569,\ +0.4893511304026755825980,0.7907024739412412683848,0.0927649247006697985629,\ +0.6771509587172231947605,0.1926598267972080835708,0.4219525417710163206486,\ +0.8372545804484667897327,0.4380081794254953031498,0.7358790955224862040396,\ +0.7764215257273850978592,0.4512883308374140978181,0.3761879989923791467454,\ +0.4008885622012666738456,0.6407879869830552799215,0.0977409582360771744813,\ +0.7661702973755802892342,0.5939433204542849953356,0.4013282299434615674194,\ +0.0294444243265947341870,0.1800095863769710646807,0.6931213117261505463063,\ +0.1229352709600845944271,0.0170729116595537758205,0.7729963838033769851776,\ +0.3111634543825066989697,0.8062711862134785967271,0.3817009768423728632847,\ +0.0843071952194427848282,0.6391670242169816829048,0.4456326503441452313581,\ +0.8049131723565879914517,0.0841499582510354254827,0.5143869824676139401731,\ +0.5323054257425473556609,0.1302316176753355037032,0.5514090290933710836185,\ +0.0048661514920936704831,0.2726971620593832135171,0.6800878151345280953066,\ +0.0194312774699979817772,0.6007410055835120665790,0.2225183567972019438308,\ +0.2453107625419813642154,0.1193241474447570282802,0.1872090036522589262535,\ +0.3328594328994332052218,0.8191678366228465346666,0.2808911379544120623386,\ +0.7686206175384947547613,0.2814788293582466960352,0.4884768753384709505383,\ +0.7677120055843160706388,0.5597752773423979588685,0.3843783063813486222671,\ +0.4494348707705640433296,0.0073587607464321675918,0.4942920505581040457876,\ +0.4519951388248303891793,0.6174156057066327862870,0.8120604613904897073340,\ +0.4735912411780784370130,0.2877181408083371860762,0.2003085018506444991981,\ +0.6454907592331077248460,0.7666485093752634094599,0.1898949607970919217781,\ +0.5061380545505530514916,0.7764092440179690690627,0.0115521094721033057429,\ +0.4792850082508480769050,0.6210525015048259378503,0.4790050323268763010631,\ +0.1532840475926474099744,0.2543482295640571710926,0.8184182421341416047156,\ +0.5847748710564846241766,0.8058612048242990155700,0.8373137227375435642784,\ +0.3386253785349607747790,0.6858891905260645627251,0.2091622355697206059322,\ +0.8059421776695899763965,0.6262645222993747928797,0.6791010706734159629860,\ +0.3941090372936942864968,0.4883276667837411211259,0.8132971260929759971248,\ +0.0289651993379718974975,0.1626808532406751051092,0.4029070726587401507501,\ +0.0021650662494845369747,0.1800162812994652028475,0.4400180916539356279493,\ +0.1964981391369581276152,0.5690809947427917236951,0.4225939313085426696226,\ +0.7794896502659051096273,0.5732629547867681418794,0.4183441479008401797657,\ +0.2295052748166268863361,0.4507387331252663553727,0.5770209539366986106757,\ +0.7592252195553320648358,0.3752011769086914250160} + +#define ZSOURCER {0.6045256052166223526001,0.9455216196365654468536,0.4476299257948994636536,\ +0.8624908211641013622284,0.1751048639416694641113,0.2067177616991102695465,\ +0.6848411662504076957703,0.1348653226159512996674,0.0069159921258687973022,\ +0.1496290047653019428253,0.5665438110008835792542,0.4359452719800174236298,\ +0.6547604538500308990479,0.3381605879403650760651,0.4259321158751845359802,\ +0.3060420057736337184906,0.7704779822379350662231,0.7058695447631180286408,\ +0.2373670237138867378235,0.8205849635414779186249,0.6789963841438293457031,\ +0.5250809141434729099274,0.3359806565567851066589,0.8941988362930715084076,\ 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+0.3045207932591438293457,0.6502694808878004550934,0.0987624628469347953796,\ +0.8391053467057645320892,0.0328534897416830062866,0.3461971958167850971222,\ +0.2801467711105942726135,0.5500544901005923748016,0.0729318000376224517822,\ +0.0225322381593286991119,0.50267804320901632309,0.3478884599171578884125,\ +0.4298669416457414627075,0.3537984383292496204376,0.0529730813577771186829,\ +0.9533003675751388072968,0.1842019557952880859375,0.958756382111459970474,\ +0.3245136169716715812683,0.0003973259590566158295,0.0972583871334791183472,\ +0.4378789965994656086,0.3634226778522133827210,0.2685119728557765483856,\ +0.2770298384130001068115,0.8854365111328661441803,0.5216628303751349449158,\ +0.4979983693920075893,0.8733724001795053482056,0.4699407932348549365997,\ +0.9364062966778874397278,0.1337622734718024730682,0.2712419554591178894043,\ +0.1766990595497190952301,0.0543269468471407890320,0.8402757882140576839447,\ 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+0.8285484607331454753876,0.2062614001333713531494,0.1944643096067011356354,\ +0.4367609983310103416443,0.8090620837174355983734,0.8818644303828477859497,\ +0.7404803228564560413361,0.7542522149160504341126,0.9921960639767348766327,\ +0.9886121451854705810547,0.0113218077458441257477,0.9367801276966929435730,\ +0.3874237253330647945404,0.2886805813759565353394,0.567788839805871248245,\ +0.7295644441619515419006,0.0303032915107905864716,0.2795897088944911956787,\ +0.7047131718136370182037,0.7442112853750586509705,0.8920237845741212368012,\ +0.1081438604742288589478,0.8751525697298347949982,0.9068333031609654426575,\ +0.2166852983646094799042,0.4824190363287925720215,0.7766945236362516880035,\ +0.4510916722938418388367,0.1300636469386518001556,0.5505470838397741317749,\ +0.6936193336732685565949,0.1749099576845765113831,0.8636093880049884319305,\ +0.2150467522442340850830,0.1886725709773600101471,0.1796098565682768821716,\ 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+0.4027077830396592617035,0.2890332732349634170532,0.8538430598564445972443,\ +0.5499771209433674812317,0.5128610017709434032440,0.6321087554097175598145,\ +0.4165538274683058261871,0.3217771751806139945984,0.9717370062135159969330,\ +0.5348322447389364242554,0.3416590173728764057159,0.9565287167206406593323,\ +0.9951003189198672771454,0.3422884084284305572510,0.7870580093003809452057,\ +0.9234123295173048973084,0.5238970420323312282562} + +#define ZRESULTR {0.6566347140259699566300,1.0119999258966314581443,0.6596019011837132017817,\ +1.035407544941025825835,0.1779303602523068794650,0.2091417769467268095163,\ +0.6938478808740486947215,0.1809168200637071011183,0.0097840077120305499192,\ +0.1918418803766589464388,0.6967642148886226127758,0.6477398327340490036264,\ +0.9315995708552796683577,0.3317736774434180135884,0.6081114651603225507159,\ +0.3241823207263323514127,0.7257014354377283593678,0.7561000009288112444494,\ 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+1.074286510426218699266,0.1553189729796884688273,0.8413108822720302137910,\ +0.3462739066818524835689,0.3926238690106399475965,0.3256804935966552405624,\ +0.1633497671324356526057,1.0010270500405602511762,1.115022351982163151263,\ +0.7899569005544465616353,0.2603865455411881191239,0.5183255731419573741903,\ +0.7736654652779521024186,0.7045488355155032911270,0.99239017570392618062,\ +0.8571418992433421646382,0.6471261632164159172120,0.6653365916658987577748,\ +0.4179492416945764787783,0.332966594116362202271,0.8071129279142643664358,\ +0.6917895244691119049918,0.6612409505512693019824,0.8506578773411223037826,\ +0.4212670370210502279740,0.7142246190696375229834,0.5650468142706680518828,\ +0.2457619298195089230230,0.4999304697490009052885,0.9146990697266257352993,\ +0.6632530384013611834959,0.5254071357713419043733,0.8979087718767884140902,\ +0.3295715941858761155459,0.7411311982358101957402,0.0964650394595463894776,\ +0.5756260203046842383046,0.9308880528862794045963,1.2271094550000687384284,\ +0.6789423000457328605251,0.1649198200195263752654,1.1279258179884905644030,\ +0.3999539922775662836862,0.6338241429246500580064,0.1223148225900566599123,\ +0.9023144865193905017620,0.0330081109061416202999,0.3767477211449618557104,\ +0.3412118905344592723061,0.5930700069420078435201,0.1017393430189639513817,\ +0.0308061153410014963716,0.4886538358989525598908,0.3559707023880692156048,\ +0.4308223854061962176942,0.3514869377238818426434,0.0799867738322445898103,\ +0.8173018105145738454453,0.2037338143062503714731,1.220430983869785990237,\ +0.3406746275228044185113,0.0004150259547877954485,0.0971888856349881896657,\ +0.4757842207231965381276,0.4040809859598182285367,0.2820450997896822298294,\ +0.2811152693325764118093,0.9590128703774639662427,0.5354093557700149164091,\ +0.5019368627578308927895,0.8117140104249528365088,0.4534830656186849551226,\ +1.1783423931120406980000,0.1434370411700725822524,0.2934216038065708409555,\ +0.1779829127631718521663,0.0720832823745556211525,0.9611918663155849529289,\ +0.7759794971968927423944,0.4215038017355943744668,0.8045968908805133379403,\ +0.1352257439826550500239,0.0966259862726158991197,0.9423768067086430999524,\ +0.4303839309127981405112,1.027158469056514755735,0.0309063123957022088673,\ +0.1427581856076631239283,0.5058338353137836751472,0.5922330662524728506213,\ +0.2998212988294082781415,0.4854774490519005447631,0.2905366689284186176856,\ +0.732577252768074504985,0.3467085924376158700966,0.3404646689762517719480,\ +0.7192597601031739396049,0.8895525359433824608146,0.2563314638119464916599,\ +0.8145777458167494655683,0.1728338655335915907685,0.5887205934900180404057,\ +0.6014718010439381590260,0.0675406202372636349507,0.9510839296787396701660,\ +1.1598095667324348490013,0.0309128254938883482994,0.6857099135308569737290,\ +0.8512200678266018671891,0.2729650321569278004219} + +#define ZRESULTI {0.4759980266175199981049,0.4371792356294723624899,1.0366401767050017479477,\ +0.6028332456001923578270,0.2045505325550055208961,0.1915259687562470281019,\ +0.3491380267554807237396,0.8920876814407183719169,1.0006703458507313353465,\ +0.8009779429459989996687,0.6984902194099197325627,1.0544026495724472258786,\ +0.9182841727572422785286,0.0106808422200693302340,0.9834445059055472171394,\ +0.3787326350421501008903,0.2100400056445083096790,0.4557093767576786413898,\ +0.7737087506882367460293,0.0206637462688268880306,0.2204234493680024276063,\ +0.6615160486898620240126,0.7692763584553293787494,0.6356101396181920160089,\ +0.0925908774129100275996,0.7206114133477932170990,1.0359844944992535609174,\ +0.2069515918997265613299,0.4117290503525293243747,0.5490423106381259188424,\ +0.4462283131040214456675,0.1189364264093275003198,0.5274577925657699672968,\ +0.5430180765717186330832,0.1643914008870697718301,0.8230721066766158999783,\ +0.1735038050714417801057,0.1378272158996049767676,0.1748220246567987745667,\ +0.3903220669843952550515,0.936703269190418574830,0.7166597754518847507299,\ +0.8900704241537943373075,0.0891449760436722887791,0.8771518805722777756273,\ +0.3706792570421439947381,0.0111920996603491820776,0.6215444290094976897976,\ +0.2530709869257740662896,0.1319801016143227201383,0.9046350616526124266414,\ +0.2884930138703660218447,0.2251695646636414915864,0.8648081988694793498240,\ +0.2840216379380148814526,0.5504953762822683005496,0.1359271700042656016993,\ +0.5693382736493431961478,0.3322720353016644923017,0.1721580834994098363477,\ +0.5135850315563981194345,0.3474773880755230304196,0.9431362964718456032287,\ +1.0340232262721140710227,0.3402877573217258366789,0.6401040473330621427550,\ +0.4069022009136239459437,0.2439407776749255851723,0.5378842266979906305835,\ +0.2570716586141951753852,0.0904088654517940515376,0.7403475521247256940782,\ +0.2047878426979200527924,0.8489939536581485590716,0.3473238625280567482001,\ +1.1411188764290771668897,0.3051746072580045487932,0.0407043050782743276450,\ +0.6033725923116708411698,0.778737542643346047910,0.1206535237380119696127,\ +0.8418336511001852651148,0.5839585555917582437857,0.1467518266954731531726,\ +0.6888901126606848945855,0.0732090771366951525989,0.5554652901202962178573,\ +0.6068461403975041745795,0.5973804827482247503667,0.5862495346519734917834,\ +0.7008734442762630800772,0.6689719175986947874435,0.8829098191147302099324,\ +1.0188712228965588479923,0.0469681660587412258545,0.4264494425604897775983,\ +1.1260897634779567511032,0.5891751058811135477455,0.5586811292942333029288,\ +0.0375737549548666310839,0.8936786828452066844264,0.1824421274677656690244,\ +0.2090978327687162685589,0.9628255596340984379111,0.7821471108810679195855,\ +0.6470050596557553879151,0.5216627363302938080736,0.1830177712067865836154,\ +0.5134143514131775942744,0.0073119913675850425894,0.7504222430574429836270,\ +0.0193983766100578602920,0.2014128332431188439511,0.3088455785813677967333,\ +0.6065483134448432789299,0.0461172484518394959485,0.6134456837548584173803,\ +0.0989331667688019139595,0.2433781622039619951803,0.6701373782390742661619,\ +0.2663685035487164953771,0.4365368071405912875349,0.7189236163164304249662,\ +0.1697526069685433847134,0.4811811372286406429666,0.9436115675726329810047,\ +0.6813279536427474525340,0.5582673535726633273768,0.6663831331574520122629,\ +0.7137987696438253815146,0.9132123041060544732517,0.6154027043735471602659,\ +0.8421707385350217789366,0.2467394118703030714279,0.730464243452961903280,\ +0.4583747264016979627854,0.0989323235351602520149,0.4538168380708768601117,\ +0.6949204434222109316721,0.4568731305870791792323,0.9718116503334458533558,\ +0.9322636874728698064274,0.1486199865445305412504,0.2824746711136658094965,\ +0.238217162606873950059,0.1603203534786354911290,1.130704398714823533112,\ +0.0402833511895827542371,0.4788366747059483730098,0.6354755115001236021044,\ +0.3566529249056448747091,0.3017948657011057522759,0.0413466935121344983384,\ +0.46096369056612357,0.5052181131344314346521,0.3479618653266752237308,\ +0.2285599720872606155364,0.462725396526868226754,0.3406579403750831791520,\ +0.2835867580422753442271,0.2238269615848648141920,0.0477728736811990767341,\ +0.6329115684248395323763,0.3924052442709091148565,0.4301664447715317640686,\ +0.1563039559206648165812,0.8717772653208039068673,0.544280842419675670030,\ +0.3964232571280063566199,0.9317498908981691752018,0.0927647199866874355711,\ +0.239471404370552171104,0.6064908073717841796579,0.5504808053886728336224,\ +0.0526899922619719976447,0.4312873750429307428966,0.4329527886793243518504,\ +0.0278317754230633894463,0.8642909834572990446233,0.1923982024967207382638,\ +0.9846585214795218199413,0.3418444780294159768275,0.9720887284222768931485,\ +0.3044849414953779143112,0.2763773261322472474255,0.9320336608375792142311,\ +0.4523656548286881795562,0.3324058771805019629753,0.6596413052835798929152,\ +0.2842028663251400799616,0.3229125187951548126009,1.0425270197833373941876,\ +0.4773378821453879150560,0.3476356752155591589570,0.8551943809979846156111,\ +0.7664315470559724952082,0.3488628182805697530711,0.7453969031814248191736,\ +0.8607289142164601392082,0.5322582746397167552388} + + + + + +void dsinsTest() { + double in[]=SOURCE; + double res[]=RESULT; + double out; + int i; + + for (i=0;i<200;i++){ + out=dsins(in[i]); + assert(( (fabs(out-res[i]))/(fabs(out)) )<3e-16); + } +} + +void zsinsTest(void) { + double inR[]=ZSOURCER; + double inI[]=ZSOURCEI; + double resR[]=ZRESULTR; + double resI[]=ZRESULTI; + doubleComplex in,out; + int i; + + for (i=0;i<200;i++){ + in=DoubleComplex(inR[i],inI[i]); + out=zsins(in); + assert(( (fabs(zreals(out)-resR[i]))/(fabs(zreals(out))) )<3e-15); + assert(( (fabs(zimags(out)-resI[i]))/(fabs(zimags(out))) )<3e-15); + } +} + +void dsinaTest(void) { + double in[]=SOURCE; + double res[]=RESULT; + double out[200]; + int i; + + dsina(in,200,out); + for (i=0;i<200;i++){ + assert(( (fabs(out[i]-res[i]))/(fabs(out[i])) )<1e-16); + } +} + +void zsinaTest(void) { + double inR[]=ZSOURCER; + double inI[]=ZSOURCEI; + double resR[]=ZRESULTR; + double resI[]=ZRESULTI; + doubleComplex *in,out[200]; + int i; + + + in=DoubleComplexMatrix(inR,inI,200); + zsina(in,200,out); + + for (i=0;i<200;i++){ + assert(( (fabs(zreals(out[i])-resR[i]))/(fabs(zreals(out[i]))) )<3e-15); + assert(( (fabs(zimags(out[i])-resI[i]))/(fabs(zimags(out[i]))) )<3e-15); + } +} + +int testSin() { + printf("\n>>>> Double Sine Tests\n"); + dsinsTest(); + zsinsTest(); + dsinaTest(); + zsinaTest(); + return 0; +} + +int main(void) { + assert(testSin() == 0); + return 0; +} diff --git a/2.3-1/src/c/elementaryFunctions/sin/testFloatSin.c b/2.3-1/src/c/elementaryFunctions/sin/testFloatSin.c new file mode 100644 index 00000000..dfaef72b --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/sin/testFloatSin.c @@ -0,0 +1,494 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008 - INRIA - Arnaud TORSET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + + +#include "testSin.h" + +#define SOURCE {0.7062616096809506416321f,0.4090520101599395275116f,0.3011248558759689331055f,\ +0.1880126395262777805328f,0.1796709178015589714050f,0.2828889950178563594818f,\ +0.7232380937784910202026f,0.7360379849560558795929f,0.1852612206712365150452f,\ +0.7703790138475596904755f,0.1914967410266399383545f,0.7521587223745882511139f,\ +0.6205883463844656944275f,0.2807604051195085048676f,0.2289868686348199844360f,\ +0.5049233403988182544708f,0.8354099662974476814270f,0.8174716415815055370331f,\ +0.0030740275979042053223f,0.3677616142667829990387f,0.8278525872156023979187f,\ +0.72754097869619727135f,0.5323124285787343978882f,0.9267726917751133441925f,\ +0.9542504185810685157776f,0.3162104780785739421845f,0.5789009965956211090088f,\ +0.6881225542165338993073f,0.3714061146602034568787f,0.1705444059334695339203f,\ +0.1954363007098436355591f,0.978800852317363023758f,0.9300233917310833930969f,\ +0.5357720064930617809296f,0.3947123587131500244141f,0.1344871171750128269196f,\ +0.7380615202710032463074f,0.588114650454372167587f,0.9113173168152570724487f,\ +0.5682763461954891681671f,0.1127616921439766883850f,0.9478473584167659282684f,\ +0.5237770043313503265381f,0.8140139640308916568756f,0.1400952627882361412048f,\ +0.2763446993194520473480f,0.9059953633695840835571f,0.1379901585169136524200f,\ +0.5603838684037327766419f,0.3008610638789832592011f,0.4767417535185813904f,\ +0.8127435916103422641754f,0.1988414181396365165710f,0.1107953130267560482025f,\ +0.2159351315349340438843f,0.6467244853265583515167f,0.6597879612818360328674f,\ +0.0691898013465106487274f,0.9164751060307025909424f,0.8635670826770365238190f,\ +0.5032854294404387474060f,0.1832137755118310451508f,0.8403698671609163284302f,\ +0.9247214836068451404572f,0.6229452537372708320618f,0.2773811477236449718475f,\ +0.2479109913110733032227f,0.3891948559321463108063f,0.0436578569933772087097f,\ +0.8132526441477239131928f,0.7686451207846403121948f,0.4041520212776958942413f,\ +0.8579940209165215492249f,0.6993723283521831035614f,0.0828925184905529022217f,\ +0.9201254160143435001373f,0.5200281282886862754822f,0.9351884997449815273285f,\ +0.8825624976307153701782f,0.2245844271965324878693f,0.2153332801535725593567f,\ +0.4327089670114219188690f,0.5800157263875007629395f,0.8876141034997999668121f,\ +0.5258982880041003227234f,0.859640696551650762558f,0.7337234076112508773804f,\ +0.7134532411582767963409f,0.1087165409699082374573f,0.8477638359181582927704f,\ +0.6594733335077762603760f,0.7916418449021875858307f,0.6067967480048537254334f,\ +0.4102901122532784938812f,0.1958728153258562088013f,0.241527963895350694656f,\ +0.5113455550745129585266f,0.9119556057266891002655f,0.0928984880447387695313f,\ +0.7438839026726782321930f,0.1938720373436808586121f,0.4355978979729115962982f,\ +0.9922429900616407394409f,0.4533818070776760578156f,0.8269640663638710975647f,\ +0.8889675955288112163544f,0.4682085178792476654053f,0.3856786251999437808991f,\ +0.4124865522608160972595f,0.6955242282710969448090f,0.0978972557932138442993f,\ +0.8728604433126747608185f,0.6359515609219670295715f,0.4129665228538215160370f,\ +0.0294486805796623229980f,0.1809961968101561069489f,0.7658103061839938163757f,\ +0.1232470511458814144135f,0.0170737411826848983765f,0.8835507561452686786652f,\ +0.3164170170202851295471f,0.9378212536685168743134f,0.3916359134018421173096f,\ +0.0844073877669870853424f,0.6934146797284483909607f,0.4618808380328118801117f,\ +0.9355291295796632766724f,0.0842495900578796863556f,0.5402926551178097724915f,\ +0.5613215523771941661835f,0.1306025832891464233398f,0.5840523042716085910797f,\ +0.0048661706969141960144f,0.2761953338049352169037f,0.7478824090212583541870f,\ +0.0194325004704296588898f,0.6444276878610253334045f,0.2243968318216502666473f,\ +0.2478402368724346160889f,0.1196091384626924991608f,0.1883201440796256065369f,\ +0.3393343067727982997894f,0.959958622232079505920f,0.2847225037403404712677f,\ +0.8766820700839161872864f,0.2853349032811820507050f,0.5103433504700660705566f,\ +0.8752629184164106845856f,0.5941145820543169975281f,0.3945342986844480037689f,\ +0.4661326166242361068726f,0.0073588271625339984894f,0.5170202488079667091370f,\ +0.4690007264725863933563f,0.6654530800879001617432f,0.9476742581464350223541f,\ +0.4933638339862227439880f,0.2918433747254312038422f,0.2016727942973375320435f,\ +0.7016656589694321155548f,0.8736049132421612739563f,0.191055159550160169601f,\ +0.5307010114192962646484f,0.8889481076039373874664f,0.0115523664280772209167f,\ +0.4998398735187947750092f,0.6700848620384931564331f,0.4995208983309566974640f,\ +0.1538907447829842567444f,0.2571737091057002544403f,0.9586529098451137542725f,\ +0.6246025026775896549225f,0.9371285131201148033142f,0.9923511571250855922699f,\ +0.3454555813223123550415f,0.7558249053545296192169f,0.2107181670144200325012f,\ +0.9372652801685035228729f,0.6767524704337120056152f,0.7465373151935636997223f,\ +0.4050982249900698661804f,0.5101723610423505306244f,0.9497965183109045028687f,\ +0.0289692510850727558136f,0.1634070957079529762268f,0.4146909262053668498993f,\ +0.0021650679409503936768f,0.1810030029155313968658f,0.4556188201531767845154f,\ +0.1977851442061364650726f,0.6053877938538789749146f,0.4363054675050079822540f,\ +0.8938506888225674629211f,0.6104825991205871105194f,0.4316215068101882934570f,\ +0.2315693595446646213532f,0.4675927339121699333191f,0.6150764389894902706146f,\ +0.8621218334883451461792f,0.3846137975342571735382f} + +#define RESULT {0.6489941700631755017170f,0.3977397277804613495711f,0.2965946353370927379700f,\ +0.1869069269006927436205f,0.1787057982923107302131f,0.2791309758033572174796f,\ +0.6618156282674139134770f,0.6713568034120557248556f,0.1842032905163836498108f,\ +0.6964072867055017823645f,0.1903284889107588750967f,0.6832166836832923584311f,\ +0.5815139023939676077291f,0.2770863600724933761832f,0.2269909547378782532778f,\ +0.4837403483762576783533f,0.7415716096535567292136f,0.7294185948731235491493f,\ +0.0030740227564945614772f,0.3595276195652636896938f,0.7364804339477919459256f,\ +0.6650352209120763413708f,0.5075271675293236972593f,0.7996863750649069180199f,\ +0.8158805463618925557512f,0.3109671621400240670852f,0.5471043307230858410151f,\ +0.6350880886600825947497f,0.3629260331962892438540f,0.1697188821645874701183f,\ +0.1941945483009222261916f,0.8298288212470000813070f,0.8016339250362096713332f,\ +0.5105050203992042012757f,0.3845426809733389905688f,0.1340820770536885198077f,\ +0.6728551393063956220786f,0.5547934214048261258867f,0.7903115520300768581663f,\ +0.5381801020151927295032f,0.1125228794588504499519f,0.8121614659213718390163f,\ +0.5001543426683193738214f,0.7270489540313778142888f,0.1396374447476722568950f,\ +0.2728408635666067505454f,0.787039586876701835472f,0.1375526569581922986529f,\ +0.5315113932434574195440f,0.2963427027488344522865f,0.4588866814078613742822f,\ +0.7261761481530248918404f,0.1975337103519642922844f,0.1105687722679299794804f,\ +0.2142609363196769090010f,0.6025755797169196625873f,0.6129493292515678648513f,\ +0.0691346099927565571619f,0.7934612300206389523538f,0.7601650349312217835873f,\ +0.4823061815340158875465f,0.1821904962108664982612f,0.7448899416114136418088f,\ +0.7984531114259775241848f,0.5834297155392762501691f,0.2738378415422391687351f,\ +0.2453793544289556705085f,0.3794436069308826930957f,0.0436439896074229186085f,\ +0.7265260320935078564020f,0.6951619177333813182074f,0.3932392395246541161313f,\ +0.756532263098035340221f,0.6437374906114369244037f,0.0827976230060826490220f,\ +0.7956775933285428203945f,0.4969045479155810296490f,0.8047109984386738856799f,\ +0.7723690449233312493860f,0.2227012449582090047873f,0.2136730232885993008285f,\ +0.4193316280451939714880f,0.5480370912598671040428f,0.7755678252599553790248f,\ +0.5019901124659599256361f,0.7576080909498315030248f,0.6696395939777050054786f,\ +0.6544486857456611739181f,0.1085025088408962251618f,0.7498026974031274383137f,\ +0.6127007045227848003322f,0.7115079193085073194780f,0.5702389863986391249640f,\ +0.3988753791946258453471f,0.1946227344887739574286f,0.2391865177264060060569f,\ +0.4893511304026755825980f,0.7907024739412412683848f,0.0927649247006697985629f,\ +0.6771509587172231947605f,0.1926598267972080835708f,0.4219525417710163206486f,\ +0.8372545804484667897327f,0.4380081794254953031498f,0.7358790955224862040396f,\ +0.7764215257273850978592f,0.4512883308374140978181f,0.3761879989923791467454f,\ +0.4008885622012666738456f,0.6407879869830552799215f,0.0977409582360771744813f,\ +0.7661702973755802892342f,0.5939433204542849953356f,0.4013282299434615674194f,\ +0.0294444243265947341870f,0.1800095863769710646807f,0.6931213117261505463063f,\ +0.1229352709600845944271f,0.0170729116595537758205f,0.7729963838033769851776f,\ +0.3111634543825066989697f,0.8062711862134785967271f,0.3817009768423728632847f,\ +0.0843071952194427848282f,0.6391670242169816829048f,0.4456326503441452313581f,\ +0.8049131723565879914517f,0.0841499582510354254827f,0.5143869824676139401731f,\ +0.5323054257425473556609f,0.1302316176753355037032f,0.5514090290933710836185f,\ +0.0048661514920936704831f,0.2726971620593832135171f,0.6800878151345280953066f,\ +0.0194312774699979817772f,0.6007410055835120665790f,0.2225183567972019438308f,\ +0.2453107625419813642154f,0.1193241474447570282802f,0.1872090036522589262535f,\ +0.3328594328994332052218f,0.8191678366228465346666f,0.2808911379544120623386f,\ +0.7686206175384947547613f,0.2814788293582466960352f,0.4884768753384709505383f,\ +0.7677120055843160706388f,0.5597752773423979588685f,0.3843783063813486222671f,\ +0.4494348707705640433296f,0.0073587607464321675918f,0.4942920505581040457876f,\ +0.4519951388248303891793f,0.6174156057066327862870f,0.8120604613904897073340f,\ +0.4735912411780784370130f,0.2877181408083371860762f,0.2003085018506444991981f,\ +0.6454907592331077248460f,0.7666485093752634094599f,0.1898949607970919217781f,\ +0.5061380545505530514916f,0.7764092440179690690627f,0.0115521094721033057429f,\ +0.4792850082508480769050f,0.6210525015048259378503f,0.4790050323268763010631f,\ +0.1532840475926474099744f,0.2543482295640571710926f,0.8184182421341416047156f,\ +0.5847748710564846241766f,0.8058612048242990155700f,0.8373137227375435642784f,\ +0.3386253785349607747790f,0.6858891905260645627251f,0.2091622355697206059322f,\ +0.8059421776695899763965f,0.6262645222993747928797f,0.6791010706734159629860f,\ +0.3941090372936942864968f,0.4883276667837411211259f,0.8132971260929759971248f,\ +0.0289651993379718974975f,0.1626808532406751051092f,0.4029070726587401507501f,\ +0.0021650662494845369747f,0.1800162812994652028475f,0.4400180916539356279493f,\ +0.1964981391369581276152f,0.5690809947427917236951f,0.4225939313085426696226f,\ +0.7794896502659051096273f,0.5732629547867681418794f,0.4183441479008401797657f,\ +0.2295052748166268863361f,0.4507387331252663553727f,0.5770209539366986106757f,\ +0.7592252195553320648358f,0.3752011769086914250160f} + +#define CSOURCER {0.6045256052166223526001f,0.9455216196365654468536f,0.4476299257948994636536f,\ +0.8624908211641013622284f,0.1751048639416694641113f,0.2067177616991102695465f,\ +0.6848411662504076957703f,0.1348653226159512996674f,0.0069159921258687973022f,\ +0.1496290047653019428253f,0.5665438110008835792542f,0.4359452719800174236298f,\ +0.6547604538500308990479f,0.3381605879403650760651f,0.4259321158751845359802f,\ +0.3060420057736337184906f,0.7704779822379350662231f,0.7058695447631180286408f,\ +0.2373670237138867378235f,0.8205849635414779186249f,0.6789963841438293457031f,\ +0.5250809141434729099274f,0.3359806565567851066589f,0.8941988362930715084076f,\ +0.5461782198399305343628f,0.7568633262999355792999f,0.0259526828303933143616f,\ +0.3250150899402797222138f,0.6072143577039241791f,0.8756139636971056461334f,\ +0.2962085595354437828064f,0.4229678637348115444183f,0.4243144039064645767212f,\ +0.7620028969831764698029f,0.3622896494343876838684f,0.5658242437057197093964f,\ +0.6424440070986747741699f,0.7580267959274351596832f,0.2531452132388949394226f,\ +0.5266989110969007015228f,0.2118590380996465682983f,0.4779220153577625751495f,\ +0.1615962767973542213440f,0.9168031658045947551727f,0.5461866445839405059815f,\ +0.4686870560981333255768f,0.7772213732823729515076f,0.5871783248148858547211f,\ +0.5848031807690858840942f,0.3139644009061157703400f,0.3204141603782773017883f,\ +0.3331634956412017345429f,0.2282590121030807495117f,0.2750317254103720188141f,\ +0.4963629124686121940613f,0.7453477247618138790131f,0.1155001949518918991089f,\ +0.0626524840481579303741f,0.0877018878236413002014f,0.5507565210573375225067f,\ +0.2116370312869548797607f,0.8335358710028231143951f,0.4045845707878470420837f,\ +0.2880227542482316493988f,0.1750094983726739883423f,0.0051561561413109302521f,\ +0.3109287889674305915833f,0.6602919283322989940643f,0.9722995534539222717285f,\ +0.9826813959516584873200f,0.0455837054178118705750f,0.4096118300221860408783f,\ +0.7104403134435415267944f,0.3917615194804966449738f,0.5571686858311295509338f,\ +0.0565565521828830242157f,0.1540721096098423004150f,0.9109257892705500125885f,\ +0.5713340407237410545349f,0.3488348922692239284515f,0.8972954172641038894653f,\ +0.2973396372981369495392f,0.1091936426237225532532f,0.7626331257633864879608f,\ +0.6584706604480743408203f,0.6996708759106695652008f,0.6756794182583689689636f,\ +0.9004421546123921871185f,0.6668148916214704513550f,0.8518152837641537189484f,\ +0.8365677157416939735413f,0.1291190306656062602997f,0.6095453463494777679443f,\ +0.2412315667606890201569f,0.4029275467619299888611f,0.3019328541122376918793f,\ +0.1083198729902505874634f,0.8456356939859688282013f,0.9417407037690281867981f,\ +0.9083450469188392162323f,0.1937242373824119567871f,0.5318046086467802524567f,\ +0.8314437521621584892273f,0.4952740012668073177338f,0.7465563025325536727905f,\ +0.7102393140085041522980f,0.5811418974772095680237f,0.7035941029898822307587f,\ +0.3746570833027362823486f,0.3394373343326151371002f,0.6322447275742888450623f,\ +0.7636191300116479396820f,0.6940386760979890823364f,0.8735245508141815662384f,\ +0.3612738298252224922180f,0.7933200257830321788788f,0.4830590635538101196289f,\ +0.2469964125193655490875f,0.5025922833010554313660f,0.7430270477198064327240f,\ +0.6783937942236661911011f,0.4903185223229229450226f,0.709806025959551334381f,\ +0.3303662906400859355927f,0.6815545372664928436279f,0.0701365978457033634186f,\ +0.4745870968326926231384f,0.8091805852018296718597f,0.9447045121341943740845f,\ +0.5478458073921501636505f,0.1216687532141804695129f,0.9161847713403403759003f,\ +0.3045207932591438293457f,0.6502694808878004550934f,0.0987624628469347953796f,\ +0.8391053467057645320892f,0.0328534897416830062866f,0.3461971958167850971222f,\ +0.2801467711105942726135f,0.5500544901005923748016f,0.0729318000376224517822f,\ +0.0225322381593286991119f,0.50267804320901632309f,0.3478884599171578884125f,\ +0.4298669416457414627075f,0.3537984383292496204376f,0.0529730813577771186829f,\ +0.9533003675751388072968f,0.1842019557952880859375f,0.958756382111459970474f,\ +0.3245136169716715812683f,0.0003973259590566158295f,0.0972583871334791183472f,\ +0.4378789965994656086f,0.3634226778522133827210f,0.2685119728557765483856f,\ +0.2770298384130001068115f,0.8854365111328661441803f,0.5216628303751349449158f,\ +0.4979983693920075893f,0.8733724001795053482056f,0.4699407932348549365997f,\ +0.9364062966778874397278f,0.1337622734718024730682f,0.2712419554591178894043f,\ +0.1766990595497190952301f,0.0543269468471407890320f,0.8402757882140576839447f,\ +0.7507283594459295272827f,0.3062269617803394794464f,0.9195641661062836647034f,\ +0.1318263853900134563446f,0.0826364941895008087158f,0.8222710476256906986237f,\ +0.4441085970029234886169f,0.9617503038607537746429f,0.0283641982823610305786f,\ +0.1431905967183411121368f,0.3793597565963864326477f,0.6144003230147063732147f,\ +0.2128270715475082397461f,0.4704488315619528293610f,0.2076055286452174186707f,\ +0.7435979112051427364349f,0.3391801547259092330933f,0.2479635034687817096710f,\ +0.6721735307946801185608f,0.9013197491876780986786f,0.2140864841639995574951f,\ +0.8460668534971773624420f,0.1650043567642569541931f,0.4003686285577714443207f,\ +0.5522825215011835098267f,0.0638249483890831470490f,0.6903966935351490974426f,\ +0.8547787251882255077362f,0.0291904583573341369629f,0.5434663915075361728668f,\ +0.6236743135377764701843f,0.2417052476666867733002f} + +#define CSOURCEI {0.5503273960202932357788f,0.6906704087741672992706f,0.9835249418392777442932f,\ +0.8285484607331454753876f,0.2062614001333713531494f,0.1944643096067011356354f,\ +0.4367609983310103416443f,0.8090620837174355983734f,0.8818644303828477859497f,\ +0.7404803228564560413361f,0.7542522149160504341126f,0.9921960639767348766327f,\ +0.9886121451854705810547f,0.0113218077458441257477f,0.9367801276966929435730f,\ +0.3874237253330647945404f,0.2886805813759565353394f,0.567788839805871248245f,\ +0.7295644441619515419006f,0.0303032915107905864716f,0.2795897088944911956787f,\ +0.7047131718136370182037f,0.7442112853750586509705f,0.8920237845741212368012f,\ +0.1081438604742288589478f,0.8751525697298347949982f,0.9068333031609654426575f,\ +0.2166852983646094799042f,0.4824190363287925720215f,0.7766945236362516880035f,\ +0.4510916722938418388367f,0.1300636469386518001556f,0.5505470838397741317749f,\ +0.6936193336732685565949f,0.1749099576845765113831f,0.8636093880049884319305f,\ +0.2150467522442340850830f,0.1886725709773600101471f,0.1796098565682768821716f,\ +0.4374312213622033596039f,0.8514516223222017288208f,0.7381969136185944080353f,\ +0.8102188156917691230774f,0.1460137623362243175507f,0.8999849110841751098633f,\ +0.4043733575381338596344f,0.0156995235010981559753f,0.6904196902178227901459f,\ +0.2990311514586210250855f,0.1383218024857342243195f,0.8478512773290276527405f,\ +0.3007262717001140117645f,0.229154746979475021362f,0.8078110129572451114655f,\ +0.3176332255825400352478f,0.6924462593160569667816f,0.1364154014736413955689f,\ +0.5433279541321098804474f,0.3276594849303364753723f,0.2006831648759543895721f,\ +0.5037304237484931945801f,0.4962565028108656406403f,0.8996161324903368949890f,\ +0.9357709079049527645111f,0.3390339072793722152710f,0.6029155333526432514191f,\ +0.4153500730171799659729f,0.3041478390805423259735f,0.8489827848970890045166f,\ +0.4482063786126673221588f,0.0903797810897231101990f,0.7382151386700570583344f,\ +0.2669597584754228591919f,0.8226196658797562122345f,0.3985779182985424995422f,\ +0.9789295899681746959686f,0.3041231036186218261719f,0.0663515278138220310211f,\ +0.6667758254334330558777f,0.7548807277344167232513f,0.1922533493489027023315f,\ +0.7942791883833706378937f,0.5580398896709084510803f,0.2016023616306483745575f,\ +0.787146832793951034546f,0.0955459238030016422272f,0.6623697867617011070252f,\ +0.864868474658578634262f,0.7013061288744211196899f,0.8015053984709084033966f,\ +0.9135685982182621955872f,0.6317234965972602367401f,0.9346773549914360046387f,\ +0.9157753759063780307770f,0.0510348035022616386414f,0.4329969524405896663666f,\ +0.9721843507140874862671f,0.8001508046872913837433f,0.8452261472120881080627f,\ +0.0610524858348071575165f,0.8168097324669361114502f,0.2101262793876230716705f,\ +0.3055453812703490257263f,0.9465212575159966945648f,0.9269728232175111770630f,\ +0.7737778765149414539337f,0.5893978821113705635071f,0.2377697187475860118866f,\ +0.5269544571638107299805f,0.0077543654479086399078f,0.8311711428686976432800f,\ +0.0268517597578465938568f,0.2591186594218015670776f,0.4641277943737804889679f,\ +0.6098861405625939369202f,0.0656952331773936748505f,0.6466812007129192352295f,\ +0.1018534512259066104889f,0.2742705782875418663025f,0.8162728524766862392426f,\ +0.3357750270515680313110f,0.4765891996212303638458f,0.8440040023997426033020f,\ +0.1785074654035270214081f,0.5855625644326210021973f,0.8426241897977888584137f,\ +0.7058847947046160697937f,0.7396617024205625057221f,0.9751448985189199447632f,\ +0.7606669445522129535675f,0.8236690396443009376526f,0.8889620001427829265595f,\ +0.7960178293287754058838f,0.3052428201772272586823f,0.6803312664851546287537f,\ +0.6412069997750222682953f,0.0988248009234666824341f,0.4654508423991501331329f,\ +0.6714970665052533149719f,0.5131103205494582653046f,0.8631567060947418212891f,\ +0.8328299173153936862946f,0.1687975851818919181824f,0.2961277081631124019623f,\ +0.2591485660523176193237f,0.1700844173319637775421f,0.9718958893790841102600f,\ +0.0695185582153499126434f,0.4696230851113796234131f,0.9544191421009600162506f,\ +0.3679352095350623130798f,0.2973918146453797817230f,0.0415310803800821304321f,\ +0.4892336544580757617950f,0.5171590568497776985169f,0.3534862431697547435761f,\ +0.2354387864470481872559f,0.6779259913600981235504f,0.3834532154724001884460f,\ +0.3174350797198712825775f,0.3418120350688695907593f,0.0535557498224079608917f,\ +0.9285596096888184547424f,0.3862650538794696331024f,0.4328473098576068878174f,\ +0.1581165478564798831940f,0.7887120461091399192810f,0.7448797873221337795258f,\ +0.5185996759682893753052f,0.8651678604073822498322f,0.1524438308551907539368f,\ +0.2392775672487914562225f,0.5761575847864151000977f,0.7395762302912771701813f,\ +0.0583172617480158805847f,0.6962534948252141475678f,0.4206145536154508590698f,\ +0.0281158541329205036163f,0.8313249954953789710999f,0.2333360086195170879364f,\ +0.8865877203643321990967f,0.3746785433031618595123f,0.87671328987926244736f,\ +0.4027077830396592617035f,0.2890332732349634170532f,0.8538430598564445972443f,\ +0.5499771209433674812317f,0.5128610017709434032440f,0.6321087554097175598145f,\ +0.4165538274683058261871f,0.3217771751806139945984f,0.9717370062135159969330f,\ +0.5348322447389364242554f,0.3416590173728764057159f,0.9565287167206406593323f,\ +0.9951003189198672771454f,0.3422884084284305572510f,0.7870580093003809452057f,\ +0.9234123295173048973084f,0.5238970420323312282562f} + +#define CRESULTR {0.6566347140259699566300f,1.0119999258966314581443f,0.6596019011837132017817f,\ +1.035407544941025825835f,0.1779303602523068794650f,0.2091417769467268095163f,\ +0.6938478808740486947215f,0.1809168200637071011183f,0.0097840077120305499192f,\ +0.1918418803766589464388f,0.6967642148886226127758f,0.6477398327340490036264f,\ +0.9315995708552796683577f,0.3317736774434180135884f,0.6081114651603225507159f,\ +0.3241823207263323514127f,0.7257014354377283593678f,0.7561000009288112444494f,\ +0.3005492023050818084506f,0.7318806897852137005600f,0.6527186268049437467553f,\ +0.6309941597264083767982f,0.4252885469799541073854f,1.1110399216338266992210f,\ +0.5224655834751933403126f,0.9668090801088078389824f,0.0373711557740689717666f,\ +0.3268489749847858782950f,0.6382749343202905878414f,1.0114485987268988509413f,\ +0.3221010444660392657568f,0.4139453304596071303578f,0.4756810141068628650096f,\ +0.8632093598097250186640f,0.3598514339778784987267f,0.7487720850314417697646f,\ +0.6130614254242318095223f,0.6997626019564747723578f,0.2545007621033356648432f,\ +0.5515473173800672368472f,0.2912178978332317091926f,0.5910474830807833646063f,\ +0.2166565482354273763921f,0.8021363255207357711996f,0.7443835374940948046429f,\ +0.4891530673136452178618f,0.7013877718782099979222f,0.6913869813942569164667f,\ +0.5769011420640627330059f,0.3117908008696873567445f,0.4351103756992900639666f,\ +0.3419338661078391572445f,0.2322493315296763338740f,0.3651122336184794425762f,\ +0.5004568464347787237756f,0.8474278924029616799629f,0.1163175220516309976704f,\ +0.0720827231471598273149f,0.0923335564898466049089f,0.5339057146859005342776f,\ +0.2372798723378120866467f,0.8333578948329619651148f,0.5639606188473457182298f,\ +0.4177713004682119257716f,0.1842205910422827219719f,0.0061220134095790416234f,\ +0.3327145852908883205679f,0.6419359463626251871560f,1.1422474153376851457864f,\ +0.9169649828841031080629f,0.0457541584695274616834f,0.5117881770849980194171f,\ +0.6755451518212014505593f,0.5184569836246168961225f,0.5713468012823553765500f,\ +0.0858443570774837100279f,0.1606151108412635364342f,0.7918113937347260877786f,\ +0.6654818631286439911676f,0.4439038705567253662032f,0.796132686757749730155f,\ +0.3903563868552101800979f,0.1263898622508018709798f,0.7049140832202889228597f,\ +0.8114695967676066601371f,0.6469075512356741164410f,0.7677157469479103379939f,\ +1.0953970513593642710504f,0.7769182781192301989748f,1.0073965025007358686793f,\ +1.074286510426218699266f,0.1553189729796884688273f,0.8413108822720302137910f,\ +0.3462739066818524835689f,0.3926238690106399475965f,0.3256804935966552405624f,\ +0.1633497671324356526057f,1.0010270500405602511762f,1.115022351982163151263f,\ +0.7899569005544465616353f,0.2603865455411881191239f,0.5183255731419573741903f,\ +0.7736654652779521024186f,0.7045488355155032911270f,0.99239017570392618062f,\ +0.8571418992433421646382f,0.6471261632164159172120f,0.6653365916658987577748f,\ +0.4179492416945764787783f,0.332966594116362202271f,0.8071129279142643664358f,\ +0.6917895244691119049918f,0.6612409505512693019824f,0.8506578773411223037826f,\ +0.4212670370210502279740f,0.7142246190696375229834f,0.5650468142706680518828f,\ +0.2457619298195089230230f,0.4999304697490009052885f,0.9146990697266257352993f,\ +0.6632530384013611834959f,0.5254071357713419043733f,0.8979087718767884140902f,\ +0.3295715941858761155459f,0.7411311982358101957402f,0.0964650394595463894776f,\ +0.5756260203046842383046f,0.9308880528862794045963f,1.2271094550000687384284f,\ +0.6789423000457328605251f,0.1649198200195263752654f,1.1279258179884905644030f,\ +0.3999539922775662836862f,0.6338241429246500580064f,0.1223148225900566599123f,\ +0.9023144865193905017620f,0.0330081109061416202999f,0.3767477211449618557104f,\ +0.3412118905344592723061f,0.5930700069420078435201f,0.1017393430189639513817f,\ +0.0308061153410014963716f,0.4886538358989525598908f,0.3559707023880692156048f,\ +0.4308223854061962176942f,0.3514869377238818426434f,0.0799867738322445898103f,\ +0.8173018105145738454453f,0.2037338143062503714731f,1.220430983869785990237f,\ +0.3406746275228044185113f,0.0004150259547877954485f,0.0971888856349881896657f,\ +0.4757842207231965381276f,0.4040809859598182285367f,0.2820450997896822298294f,\ +0.2811152693325764118093f,0.9590128703774639662427f,0.5354093557700149164091f,\ +0.5019368627578308927895f,0.8117140104249528365088f,0.4534830656186849551226f,\ +1.1783423931120406980000f,0.1434370411700725822524f,0.2934216038065708409555f,\ +0.1779829127631718521663f,0.0720832823745556211525f,0.9611918663155849529289f,\ +0.7759794971968927423944f,0.4215038017355943744668f,0.8045968908805133379403f,\ +0.1352257439826550500239f,0.0966259862726158991197f,0.9423768067086430999524f,\ +0.4303839309127981405112f,1.027158469056514755735f,0.0309063123957022088673f,\ +0.1427581856076631239283f,0.5058338353137836751472f,0.5922330662524728506213f,\ +0.2998212988294082781415f,0.4854774490519005447631f,0.2905366689284186176856f,\ +0.732577252768074504985f,0.3467085924376158700966f,0.3404646689762517719480f,\ +0.7192597601031739396049f,0.8895525359433824608146f,0.2563314638119464916599f,\ +0.8145777458167494655683f,0.1728338655335915907685f,0.5887205934900180404057f,\ +0.6014718010439381590260f,0.0675406202372636349507f,0.9510839296787396701660f,\ +1.1598095667324348490013f,0.0309128254938883482994f,0.6857099135308569737290f,\ +0.8512200678266018671891f,0.2729650321569278004219f} + +#define CRESULTI {0.4759980266175199981049f,0.4371792356294723624899f,1.0366401767050017479477f,\ +0.6028332456001923578270f,0.2045505325550055208961f,0.1915259687562470281019f,\ +0.3491380267554807237396f,0.8920876814407183719169f,1.0006703458507313353465f,\ +0.8009779429459989996687f,0.6984902194099197325627f,1.0544026495724472258786f,\ +0.9182841727572422785286f,0.0106808422200693302340f,0.9834445059055472171394f,\ +0.3787326350421501008903f,0.2100400056445083096790f,0.4557093767576786413898f,\ +0.7737087506882367460293f,0.0206637462688268880306f,0.2204234493680024276063f,\ +0.6615160486898620240126f,0.7692763584553293787494f,0.6356101396181920160089f,\ +0.0925908774129100275996f,0.7206114133477932170990f,1.0359844944992535609174f,\ +0.2069515918997265613299f,0.4117290503525293243747f,0.5490423106381259188424f,\ +0.4462283131040214456675f,0.1189364264093275003198f,0.5274577925657699672968f,\ +0.5430180765717186330832f,0.1643914008870697718301f,0.8230721066766158999783f,\ +0.1735038050714417801057f,0.1378272158996049767676f,0.1748220246567987745667f,\ +0.3903220669843952550515f,0.936703269190418574830f,0.7166597754518847507299f,\ +0.8900704241537943373075f,0.0891449760436722887791f,0.8771518805722777756273f,\ +0.3706792570421439947381f,0.0111920996603491820776f,0.6215444290094976897976f,\ +0.2530709869257740662896f,0.1319801016143227201383f,0.9046350616526124266414f,\ +0.2884930138703660218447f,0.2251695646636414915864f,0.8648081988694793498240f,\ +0.2840216379380148814526f,0.5504953762822683005496f,0.1359271700042656016993f,\ +0.5693382736493431961478f,0.3322720353016644923017f,0.1721580834994098363477f,\ +0.5135850315563981194345f,0.3474773880755230304196f,0.9431362964718456032287f,\ +1.0340232262721140710227f,0.3402877573217258366789f,0.6401040473330621427550f,\ +0.4069022009136239459437f,0.2439407776749255851723f,0.5378842266979906305835f,\ +0.2570716586141951753852f,0.0904088654517940515376f,0.7403475521247256940782f,\ +0.2047878426979200527924f,0.8489939536581485590716f,0.3473238625280567482001f,\ +1.1411188764290771668897f,0.3051746072580045487932f,0.0407043050782743276450f,\ +0.6033725923116708411698f,0.778737542643346047910f,0.1206535237380119696127f,\ +0.8418336511001852651148f,0.5839585555917582437857f,0.1467518266954731531726f,\ +0.6888901126606848945855f,0.0732090771366951525989f,0.5554652901202962178573f,\ +0.6068461403975041745795f,0.5973804827482247503667f,0.5862495346519734917834f,\ +0.7008734442762630800772f,0.6689719175986947874435f,0.8829098191147302099324f,\ +1.0188712228965588479923f,0.0469681660587412258545f,0.4264494425604897775983f,\ +1.1260897634779567511032f,0.5891751058811135477455f,0.5586811292942333029288f,\ +0.0375737549548666310839f,0.8936786828452066844264f,0.1824421274677656690244f,\ +0.2090978327687162685589f,0.9628255596340984379111f,0.7821471108810679195855f,\ +0.6470050596557553879151f,0.5216627363302938080736f,0.1830177712067865836154f,\ +0.5134143514131775942744f,0.0073119913675850425894f,0.7504222430574429836270f,\ +0.0193983766100578602920f,0.2014128332431188439511f,0.3088455785813677967333f,\ +0.6065483134448432789299f,0.0461172484518394959485f,0.6134456837548584173803f,\ +0.0989331667688019139595f,0.2433781622039619951803f,0.6701373782390742661619f,\ +0.2663685035487164953771f,0.4365368071405912875349f,0.7189236163164304249662f,\ +0.1697526069685433847134f,0.4811811372286406429666f,0.9436115675726329810047f,\ +0.6813279536427474525340f,0.5582673535726633273768f,0.6663831331574520122629f,\ +0.7137987696438253815146f,0.9132123041060544732517f,0.6154027043735471602659f,\ +0.8421707385350217789366f,0.2467394118703030714279f,0.730464243452961903280f,\ +0.4583747264016979627854f,0.0989323235351602520149f,0.4538168380708768601117f,\ +0.6949204434222109316721f,0.4568731305870791792323f,0.9718116503334458533558f,\ +0.9322636874728698064274f,0.1486199865445305412504f,0.2824746711136658094965f,\ +0.238217162606873950059f,0.1603203534786354911290f,1.130704398714823533112f,\ +0.0402833511895827542371f,0.4788366747059483730098f,0.6354755115001236021044f,\ +0.3566529249056448747091f,0.3017948657011057522759f,0.0413466935121344983384f,\ +0.46096369056612357f,0.5052181131344314346521f,0.3479618653266752237308f,\ +0.2285599720872606155364f,0.462725396526868226754f,0.3406579403750831791520f,\ +0.2835867580422753442271f,0.2238269615848648141920f,0.0477728736811990767341f,\ +0.6329115684248395323763f,0.3924052442709091148565f,0.4301664447715317640686f,\ +0.1563039559206648165812f,0.8717772653208039068673f,0.544280842419675670030f,\ +0.3964232571280063566199f,0.9317498908981691752018f,0.0927647199866874355711f,\ +0.239471404370552171104f,0.6064908073717841796579f,0.5504808053886728336224f,\ +0.0526899922619719976447f,0.4312873750429307428966f,0.4329527886793243518504f,\ +0.0278317754230633894463f,0.8642909834572990446233f,0.1923982024967207382638f,\ +0.9846585214795218199413f,0.3418444780294159768275f,0.9720887284222768931485f,\ +0.3044849414953779143112f,0.2763773261322472474255f,0.9320336608375792142311f,\ +0.4523656548286881795562f,0.3324058771805019629753f,0.6596413052835798929152f,\ +0.2842028663251400799616f,0.3229125187951548126009f,1.0425270197833373941876f,\ +0.4773378821453879150560f,0.3476356752155591589570f,0.8551943809979846156111f,\ +0.7664315470559724952082f,0.3488628182805697530711f,0.7453969031814248191736f,\ +0.8607289142164601392082f,0.5322582746397167552388f} + + +void ssinsTest() { + float in[]=SOURCE; + float res[]=RESULT; + float out; + int i; + + for (i=0;i<200;i++){ + out=ssins(in[i]); + assert(( (fabs(out-res[i]))/(fabs(out)) )<1e-6); + } +} + +void csinsTest(void) { + float inR[]=CSOURCER; + float inI[]=CSOURCEI; + float resR[]=CRESULTR; + float resI[]=CRESULTI; + floatComplex in,out; + int i; + + for (i=0;i<200;i++){ + in=FloatComplex(inR[i],inI[i]); + out=csins(in); + assert(( (fabs(creals(out)-resR[i]))/(fabs(creals(out))) )<1e-6); + assert(( (fabs(cimags(out)-resI[i]))/(fabs(cimags(out))) )<1e-6); + } +} + +void ssinaTest(void) { + float in[]=SOURCE; + float res[]=RESULT; + float out[200]; + int i,j; + j=1; + ssina(in,200,out); + for (i=0;i<200;i++){ + assert(( (fabs(out[i]-res[i]))/(fabs(out[i])) )<1e-6); + } +} + +void csinaTest(void) { + float inR[]=CSOURCER; + float inI[]=CSOURCEI; + float resR[]=CRESULTR; + float resI[]=CRESULTI; + floatComplex *in,out[200]; + int i; + + in=FloatComplexMatrix(inR,inI,200); + csina(in,200,out); + + for (i=0;i<200;i++){ + assert(( (fabs(creals(out[i])-resR[i]))/(fabs(creals(out[i]))) )<1e-6); + assert(( (fabs(cimags(out[i])-resI[i]))/(fabs(cimags(out[i]))) )<1e-6); + } +} + +int testSin() { + printf("\n>>>> Float Sine Tests\n"); + ssinsTest(); + csinsTest(); + ssinaTest(); + csinaTest(); + return 0; +} + +int main(void) { + assert(testSin() == 0); + return 0; +} diff --git a/2.3-1/src/c/elementaryFunctions/sin/testSin.h b/2.3-1/src/c/elementaryFunctions/sin/testSin.h new file mode 100644 index 00000000..d443985f --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/sin/testSin.h @@ -0,0 +1,40 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2007-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#ifndef _TESTSIN_H_ +#define _TESTSIN_H_ + +#include <stdio.h> +#include <assert.h> +#include <math.h> +#include "sin.h" +#include "constant.h" + +void ssinsTest(void); + +void dsinsTest(void); + +void csinsTest(void); + +void zsinsTest(void); + +void ssinaTest(void); + +void dsinaTest(void); + +void csinaTest(void); + +void zsinaTest(void); + +int testSin(void); + +#endif /* !_TESTSIN_H_ */ diff --git a/2.3-1/src/c/elementaryFunctions/sin/zsina.c b/2.3-1/src/c/elementaryFunctions/sin/zsina.c new file mode 100644 index 00000000..ed417ea8 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/sin/zsina.c @@ -0,0 +1,20 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "sin.h" + +void zsina(doubleComplex* x, int size, doubleComplex* y) { + int i = 0; + for (i = 0; i < size; ++i) { + y[i] = zsins(x[i]); + } +} diff --git a/2.3-1/src/c/elementaryFunctions/sin/zsins.c b/2.3-1/src/c/elementaryFunctions/sin/zsins.c new file mode 100644 index 00000000..163cfcc9 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/sin/zsins.c @@ -0,0 +1,23 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "sin.h" +#include "cos.h" +#include "sinh.h" +#include "cosh.h" + +doubleComplex zsins(doubleComplex z) { + double real = zreals(z); + double imag = zimags(z); + + return(DoubleComplex(dsins(real) * dcoshs(imag), dcoss(real) * dsinhs(imag))); +} diff --git a/2.3-1/src/c/elementaryFunctions/sinh/Makefile.am b/2.3-1/src/c/elementaryFunctions/sinh/Makefile.am new file mode 100644 index 00000000..edcba921 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/sinh/Makefile.am @@ -0,0 +1,68 @@ +## +## Scilab ( http://www.scilab.org/ ) - This file is part of Scilab +## Copyright (C) 2008-2008 - INRIA - Bruno JOFRET +## +## This file must be used under the terms of the CeCILL. +## This source file is licensed as described in the file COPYING, which +## you should have received as part of this distribution. The terms +## are also available at +## http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt +## +## + +libSinh_la_CFLAGS = -I ../../type \ + -I ../includes + +instdir = $(top_builddir)/lib + +pkglib_LTLIBRARIES = libSinh.la + +libSinh_la_SOURCES = $(HEAD) $(SRC) + +SRC = ssinhs.c \ + dsinhs.c \ + csinhs.c \ + zsinhs.c \ + ssinha.c \ + dsinha.c \ + csinha.c \ + zsinha.c + +HEAD = ../includes/sinh.h + +#### +# Checking Part +#### + +check_INCLUDES = -I $(top_builddir)/src/c/elementaryFunctions/includes \ + -I $(top_builddir)/src/c/type + +check_LDADD = $(top_builddir)/src/c/type/libDoubleComplex.la \ + $(top_builddir)/src/c/type/libFloatComplex.la \ + $(top_builddir)/src/c/operations/addition/libAddition.la \ + $(top_builddir)/src/fortran/lapack/libscilapack.la \ + $(top_builddir)/src/c/elementaryFunctions/sinh/libSinh.la \ + $(top_builddir)/src/c/elementaryFunctions/sin/libSin.la \ + $(top_builddir)/src/c/elementaryFunctions/cosh/libCosh.la \ + 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The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "sinh.h" + +void csinha(floatComplex* x, int size, floatComplex* y) { + int i = 0; + for (i = 0; i < size; ++i) { + y[i] = csinhs(x[i]); + } +} diff --git a/2.3-1/src/c/elementaryFunctions/sinh/csinhs.c b/2.3-1/src/c/elementaryFunctions/sinh/csinhs.c new file mode 100644 index 00000000..d4e7e7d9 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/sinh/csinhs.c @@ -0,0 +1,22 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2007-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "sinh.h" +#include "sin.h" + +floatComplex csinhs(floatComplex z) { + float real = creals(z); + float imag = cimags(z); + + floatComplex result = csins(FloatComplex(-imag, real)); + return (FloatComplex(cimags(result), -creals(result))); +} diff --git a/2.3-1/src/c/elementaryFunctions/sinh/dsinha.c b/2.3-1/src/c/elementaryFunctions/sinh/dsinha.c new file mode 100644 index 00000000..df28279f --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/sinh/dsinha.c @@ -0,0 +1,20 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "sinh.h" + +void dsinha(double* x, int size, double* y) { + int i = 0; + for (i = 0; i < size; ++i) { + y[i] = dsinhs(x[i]); + } +} diff --git a/2.3-1/src/c/elementaryFunctions/sinh/dsinhs.c b/2.3-1/src/c/elementaryFunctions/sinh/dsinhs.c new file mode 100644 index 00000000..558bea06 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/sinh/dsinhs.c @@ -0,0 +1,18 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include <math.h> +#include "sinh.h" + +double dsinhs(double x) { + return (sinh(x)); +} diff --git a/2.3-1/src/c/elementaryFunctions/sinh/ssinha.c b/2.3-1/src/c/elementaryFunctions/sinh/ssinha.c new file mode 100644 index 00000000..a095dbe2 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/sinh/ssinha.c @@ -0,0 +1,20 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "sinh.h" + +void ssinha(float* x, int size, float* y) { + int i = 0; + for (i = 0; i < size; ++i) { + y[i] = ssinhs(x[i]); + } +} diff --git a/2.3-1/src/c/elementaryFunctions/sinh/ssinhs.c b/2.3-1/src/c/elementaryFunctions/sinh/ssinhs.c new file mode 100644 index 00000000..326b5804 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/sinh/ssinhs.c @@ -0,0 +1,18 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include <math.h> +#include "sinh.h" + +float ssinhs(float x) { + return (sinhf(x)); +} diff --git a/2.3-1/src/c/elementaryFunctions/sinh/testDoubleSinh.c b/2.3-1/src/c/elementaryFunctions/sinh/testDoubleSinh.c new file mode 100644 index 00000000..d4223852 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/sinh/testDoubleSinh.c @@ -0,0 +1,511 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008 - INRIA - Arnaud TORSET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "testSinh.h" + +#define SOURCE {0.7062616096809506416321,0.4090520101599395275116,0.3011248558759689331055,\ +0.1880126395262777805328,0.1796709178015589714050,0.2828889950178563594818,\ +0.7232380937784910202026,0.7360379849560558795929,0.1852612206712365150452,\ +0.7703790138475596904755,0.1914967410266399383545,0.7521587223745882511139,\ +0.6205883463844656944275,0.2807604051195085048676,0.2289868686348199844360,\ +0.5049233403988182544708,0.8354099662974476814270,0.8174716415815055370331,\ +0.0030740275979042053223,0.3677616142667829990387,0.8278525872156023979187,\ +0.72754097869619727135,0.5323124285787343978882,0.9267726917751133441925,\ +0.9542504185810685157776,0.3162104780785739421845,0.5789009965956211090088,\ +0.6881225542165338993073,0.3714061146602034568787,0.1705444059334695339203,\ 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+0.2478402368724346160889,0.1196091384626924991608,0.1883201440796256065369,\ +0.3393343067727982997894,0.959958622232079505920,0.2847225037403404712677,\ +0.8766820700839161872864,0.2853349032811820507050,0.5103433504700660705566,\ +0.8752629184164106845856,0.5941145820543169975281,0.3945342986844480037689,\ +0.4661326166242361068726,0.0073588271625339984894,0.5170202488079667091370,\ +0.4690007264725863933563,0.6654530800879001617432,0.9476742581464350223541,\ +0.4933638339862227439880,0.2918433747254312038422,0.2016727942973375320435,\ +0.7016656589694321155548,0.8736049132421612739563,0.191055159550160169601,\ +0.5307010114192962646484,0.8889481076039373874664,0.0115523664280772209167,\ +0.4998398735187947750092,0.6700848620384931564331,0.4995208983309566974640,\ +0.1538907447829842567444,0.2571737091057002544403,0.9586529098451137542725,\ +0.6246025026775896549225,0.9371285131201148033142,0.9923511571250855922699,\ +0.3454555813223123550415,0.7558249053545296192169,0.2107181670144200325012,\ +0.9372652801685035228729,0.6767524704337120056152,0.7465373151935636997223,\ +0.4050982249900698661804,0.5101723610423505306244,0.9497965183109045028687,\ +0.0289692510850727558136,0.1634070957079529762268,0.4146909262053668498993,\ +0.0021650679409503936768,0.1810030029155313968658,0.4556188201531767845154,\ +0.1977851442061364650726,0.6053877938538789749146,0.4363054675050079822540,\ +0.8938506888225674629211,0.6104825991205871105194,0.4316215068101882934570,\ +0.2315693595446646213532,0.4675927339121699333191,0.6150764389894902706146,\ +0.8621218334883451461792,0.3846137975342571735382} + +#define RESULT {0.7664580028254754928696,0.4205551659468407255105,0.3056963415200024125618,\ +0.1891222676242167166638,0.1806391579088424403921,0.2866772088777344573707,\ +0.7879588923423612722985,0.8043199087726096152551,0.1863227880624591659142,\ +0.8488736885251115804607,0.1926692851046332977116,0.8251135119137460449679,\ +0.6611970121102711539507,0.2844635257838270536723,0.2309932755888478017603,\ +0.5266533298916223904129,0.9360312470542428986420,0.9116099093552539889274,\ +0.0030740324393184245005,0.3761077290387422333851,0.9257063259676088229355,\ +0.7934443680694276412879,0.5578100394371053871723,1.0652568032347091708800,\ +1.1058113484469005438626,0.3215064844139553512648,0.6117813058051149166516,\ +0.7437286582384788902189,0.3800039829530417190284,0.1713723342659267123711,\ +0.1966828051044853253870,1.1427508290431065418602,1.0700119918415624820085,\ +0.5617747940982125154363,0.4050417184145185811595,0.1348928905465842098543,\ +0.8069184166073162245425,0.6226085497916535871354,1.0428015042623968167135,\ +0.599360373550158476164,0.1130008086773218733967,1.0962875524202524424311,\ +0.5480567058218726028684,0.9069365704321199483928,0.1405539802560804574227,\ +0.2798753950272672152977,1.0351270996105206290139,0.1384284939283927651221,\ +0.5901774101693750829156,0.3054205096845967748465,0.4950072868345940513279,\ +0.9052222830609093495724,0.2001543065651501807079,0.1110221320487437962621,\ +0.2176171514122479666575,0.6927590813444466366633,0.7087105942005499370495,\ +0.0692450191279527643706,1.0502673603752690212332,0.9749750092666438217037,\ +0.5248028600685283873162,0.1842404954551666029783,0.9428365029551442066946,\ +1.0622620507764020114649,0.6640243707694319930113,0.2809518213531947417039,\ +0.2504582355084098987952,0.3990949339123049943723,0.0436717270227189244269,\ +0.9059090417535855532805,0.8466005962798425210636,0.4152445147326426222456,\ +0.9672066028315211561051,0.7577960172200091104600,0.0829874792017267076671,\ +1.0555680256611981171488,0.5437855687819154182350,1.0775908909563920446,\ +1.0016820806611792527008,0.2264771318543304656767,0.2170012532427569029725,\ 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+0.4863845156450118945024,0.7156655787491872366957,1.0960307119322381108617,\ +0.5136236116845008803367,0.2960038943626104313012,0.2030426468819693797130,\ +0.7606754386337204465463,0.9890435019692191964680,0.1922196010078167094370,\ +0.5559656008212838784743,1.0107407789878923853877,0.0115526233874804207247,\ +0.5209147493956211016908,0.72136900661981750993,0.5205551177967873144326,\ +0.1544988804781949887079,0.2600179378248433925691,1.112385813317804839073,\ +0.6660146232231449747729,1.080444939603935505801,1.163432674859314452931,\ +0.3523677837341518959136,0.8298721326257240127333,0.212281022488974985274,\ +1.0806462976206427928361,0.729606491474904528260,0.8178385727082368994445,\ +0.4162692379888194293969,0.5325930826611361412759,1.099181921047706733674,\ +0.0289733031722175932154,0.1641352799703627574068,0.4266791772900341284114,\ +0.0021650696324170431474,0.1819929625387523564051,0.4715467862637556795136,\ +0.1990771937658423751394,0.6430498957811131566231,0.4502805198476966808130,\ +1.0177235844677285925286,0.6491155460121008635710,0.4451485373036410675418,\ +0.2336445425260662012157,0.4848192931203018085640,0.6545992099992568036271,\ +0.9729575479551634265008,0.394166691840286298465} + +#define ZSOURCER {0.6045256052166223526001,0.9455216196365654468536,0.4476299257948994636536,\ +0.8624908211641013622284,0.1751048639416694641113,0.2067177616991102695465,\ +0.6848411662504076957703,0.1348653226159512996674,0.0069159921258687973022,\ +0.1496290047653019428253,0.5665438110008835792542,0.4359452719800174236298,\ +0.6547604538500308990479,0.3381605879403650760651,0.4259321158751845359802,\ +0.3060420057736337184906,0.7704779822379350662231,0.7058695447631180286408,\ +0.2373670237138867378235,0.8205849635414779186249,0.6789963841438293457031,\ +0.5250809141434729099274,0.3359806565567851066589,0.8941988362930715084076,\ +0.5461782198399305343628,0.7568633262999355792999,0.0259526828303933143616,\ +0.3250150899402797222138,0.6072143577039241791,0.8756139636971056461334,\ +0.2962085595354437828064,0.4229678637348115444183,0.4243144039064645767212,\ +0.7620028969831764698029,0.3622896494343876838684,0.5658242437057197093964,\ +0.6424440070986747741699,0.7580267959274351596832,0.2531452132388949394226,\ +0.5266989110969007015228,0.2118590380996465682983,0.4779220153577625751495,\ +0.1615962767973542213440,0.9168031658045947551727,0.5461866445839405059815,\ +0.4686870560981333255768,0.7772213732823729515076,0.5871783248148858547211,\ +0.5848031807690858840942,0.3139644009061157703400,0.3204141603782773017883,\ +0.3331634956412017345429,0.2282590121030807495117,0.2750317254103720188141,\ +0.4963629124686121940613,0.7453477247618138790131,0.1155001949518918991089,\ +0.0626524840481579303741,0.0877018878236413002014,0.5507565210573375225067,\ +0.2116370312869548797607,0.8335358710028231143951,0.4045845707878470420837,\ +0.2880227542482316493988,0.1750094983726739883423,0.0051561561413109302521,\ +0.3109287889674305915833,0.6602919283322989940643,0.9722995534539222717285,\ +0.9826813959516584873200,0.0455837054178118705750,0.4096118300221860408783,\ +0.7104403134435415267944,0.3917615194804966449738,0.5571686858311295509338,\ +0.0565565521828830242157,0.1540721096098423004150,0.9109257892705500125885,\ +0.5713340407237410545349,0.3488348922692239284515,0.8972954172641038894653,\ +0.2973396372981369495392,0.1091936426237225532532,0.7626331257633864879608,\ +0.6584706604480743408203,0.6996708759106695652008,0.6756794182583689689636,\ +0.9004421546123921871185,0.6668148916214704513550,0.8518152837641537189484,\ +0.8365677157416939735413,0.1291190306656062602997,0.6095453463494777679443,\ +0.2412315667606890201569,0.4029275467619299888611,0.3019328541122376918793,\ +0.1083198729902505874634,0.8456356939859688282013,0.9417407037690281867981,\ +0.9083450469188392162323,0.1937242373824119567871,0.5318046086467802524567,\ +0.8314437521621584892273,0.4952740012668073177338,0.7465563025325536727905,\ +0.7102393140085041522980,0.5811418974772095680237,0.7035941029898822307587,\ +0.3746570833027362823486,0.3394373343326151371002,0.6322447275742888450623,\ +0.7636191300116479396820,0.6940386760979890823364,0.8735245508141815662384,\ +0.3612738298252224922180,0.7933200257830321788788,0.4830590635538101196289,\ +0.2469964125193655490875,0.5025922833010554313660,0.7430270477198064327240,\ +0.6783937942236661911011,0.4903185223229229450226,0.709806025959551334381,\ +0.3303662906400859355927,0.6815545372664928436279,0.0701365978457033634186,\ +0.4745870968326926231384,0.8091805852018296718597,0.9447045121341943740845,\ +0.5478458073921501636505,0.1216687532141804695129,0.9161847713403403759003,\ +0.3045207932591438293457,0.6502694808878004550934,0.0987624628469347953796,\ +0.8391053467057645320892,0.0328534897416830062866,0.3461971958167850971222,\ +0.2801467711105942726135,0.5500544901005923748016,0.0729318000376224517822,\ +0.0225322381593286991119,0.50267804320901632309,0.3478884599171578884125,\ +0.4298669416457414627075,0.3537984383292496204376,0.0529730813577771186829,\ +0.9533003675751388072968,0.1842019557952880859375,0.958756382111459970474,\ +0.3245136169716715812683,0.0003973259590566158295,0.0972583871334791183472,\ +0.4378789965994656086,0.3634226778522133827210,0.2685119728557765483856,\ +0.2770298384130001068115,0.8854365111328661441803,0.5216628303751349449158,\ +0.4979983693920075893,0.8733724001795053482056,0.4699407932348549365997,\ +0.9364062966778874397278,0.1337622734718024730682,0.2712419554591178894043,\ +0.1766990595497190952301,0.0543269468471407890320,0.8402757882140576839447,\ +0.7507283594459295272827,0.3062269617803394794464,0.9195641661062836647034,\ +0.1318263853900134563446,0.0826364941895008087158,0.8222710476256906986237,\ +0.4441085970029234886169,0.9617503038607537746429,0.0283641982823610305786,\ +0.1431905967183411121368,0.3793597565963864326477,0.6144003230147063732147,\ +0.2128270715475082397461,0.4704488315619528293610,0.2076055286452174186707,\ +0.7435979112051427364349,0.3391801547259092330933,0.2479635034687817096710,\ +0.6721735307946801185608,0.9013197491876780986786,0.2140864841639995574951,\ +0.8460668534971773624420,0.1650043567642569541931,0.4003686285577714443207,\ +0.5522825215011835098267,0.0638249483890831470490,0.6903966935351490974426,\ +0.8547787251882255077362,0.0291904583573341369629,0.5434663915075361728668,\ +0.6236743135377764701843,0.2417052476666867733002} + +#define ZSOURCEI {0.5503273960202932357788,0.6906704087741672992706,0.9835249418392777442932,\ +0.8285484607331454753876,0.2062614001333713531494,0.1944643096067011356354,\ +0.4367609983310103416443,0.8090620837174355983734,0.8818644303828477859497,\ +0.7404803228564560413361,0.7542522149160504341126,0.9921960639767348766327,\ +0.9886121451854705810547,0.0113218077458441257477,0.9367801276966929435730,\ +0.3874237253330647945404,0.2886805813759565353394,0.567788839805871248245,\ +0.7295644441619515419006,0.0303032915107905864716,0.2795897088944911956787,\ +0.7047131718136370182037,0.7442112853750586509705,0.8920237845741212368012,\ +0.1081438604742288589478,0.8751525697298347949982,0.9068333031609654426575,\ +0.2166852983646094799042,0.4824190363287925720215,0.7766945236362516880035,\ +0.4510916722938418388367,0.1300636469386518001556,0.5505470838397741317749,\ +0.6936193336732685565949,0.1749099576845765113831,0.8636093880049884319305,\ +0.2150467522442340850830,0.1886725709773600101471,0.1796098565682768821716,\ +0.4374312213622033596039,0.8514516223222017288208,0.7381969136185944080353,\ +0.8102188156917691230774,0.1460137623362243175507,0.8999849110841751098633,\ +0.4043733575381338596344,0.0156995235010981559753,0.6904196902178227901459,\ +0.2990311514586210250855,0.1383218024857342243195,0.8478512773290276527405,\ +0.3007262717001140117645,0.229154746979475021362,0.8078110129572451114655,\ +0.3176332255825400352478,0.6924462593160569667816,0.1364154014736413955689,\ +0.5433279541321098804474,0.3276594849303364753723,0.2006831648759543895721,\ +0.5037304237484931945801,0.4962565028108656406403,0.8996161324903368949890,\ +0.9357709079049527645111,0.3390339072793722152710,0.6029155333526432514191,\ +0.4153500730171799659729,0.3041478390805423259735,0.8489827848970890045166,\ +0.4482063786126673221588,0.0903797810897231101990,0.7382151386700570583344,\ +0.2669597584754228591919,0.8226196658797562122345,0.3985779182985424995422,\ +0.9789295899681746959686,0.3041231036186218261719,0.0663515278138220310211,\ +0.6667758254334330558777,0.7548807277344167232513,0.1922533493489027023315,\ +0.7942791883833706378937,0.5580398896709084510803,0.2016023616306483745575,\ +0.787146832793951034546,0.0955459238030016422272,0.6623697867617011070252,\ +0.864868474658578634262,0.7013061288744211196899,0.8015053984709084033966,\ +0.9135685982182621955872,0.6317234965972602367401,0.9346773549914360046387,\ +0.9157753759063780307770,0.0510348035022616386414,0.4329969524405896663666,\ +0.9721843507140874862671,0.8001508046872913837433,0.8452261472120881080627,\ +0.0610524858348071575165,0.8168097324669361114502,0.2101262793876230716705,\ +0.3055453812703490257263,0.9465212575159966945648,0.9269728232175111770630,\ +0.7737778765149414539337,0.5893978821113705635071,0.2377697187475860118866,\ +0.5269544571638107299805,0.0077543654479086399078,0.8311711428686976432800,\ +0.0268517597578465938568,0.2591186594218015670776,0.4641277943737804889679,\ +0.6098861405625939369202,0.0656952331773936748505,0.6466812007129192352295,\ +0.1018534512259066104889,0.2742705782875418663025,0.8162728524766862392426,\ +0.3357750270515680313110,0.4765891996212303638458,0.8440040023997426033020,\ +0.1785074654035270214081,0.5855625644326210021973,0.8426241897977888584137,\ +0.7058847947046160697937,0.7396617024205625057221,0.9751448985189199447632,\ +0.7606669445522129535675,0.8236690396443009376526,0.8889620001427829265595,\ +0.7960178293287754058838,0.3052428201772272586823,0.6803312664851546287537,\ +0.6412069997750222682953,0.0988248009234666824341,0.4654508423991501331329,\ +0.6714970665052533149719,0.5131103205494582653046,0.8631567060947418212891,\ +0.8328299173153936862946,0.1687975851818919181824,0.2961277081631124019623,\ +0.2591485660523176193237,0.1700844173319637775421,0.9718958893790841102600,\ +0.0695185582153499126434,0.4696230851113796234131,0.9544191421009600162506,\ +0.3679352095350623130798,0.2973918146453797817230,0.0415310803800821304321,\ +0.4892336544580757617950,0.5171590568497776985169,0.3534862431697547435761,\ +0.2354387864470481872559,0.6779259913600981235504,0.3834532154724001884460,\ +0.3174350797198712825775,0.3418120350688695907593,0.0535557498224079608917,\ +0.9285596096888184547424,0.3862650538794696331024,0.4328473098576068878174,\ +0.1581165478564798831940,0.7887120461091399192810,0.7448797873221337795258,\ +0.5185996759682893753052,0.8651678604073822498322,0.1524438308551907539368,\ +0.2392775672487914562225,0.5761575847864151000977,0.7395762302912771701813,\ +0.0583172617480158805847,0.6962534948252141475678,0.4206145536154508590698,\ +0.0281158541329205036163,0.8313249954953789710999,0.2333360086195170879364,\ +0.8865877203643321990967,0.3746785433031618595123,0.87671328987926244736,\ +0.4027077830396592617035,0.2890332732349634170532,0.8538430598564445972443,\ +0.5499771209433674812317,0.5128610017709434032440,0.6321087554097175598145,\ +0.4165538274683058261871,0.3217771751806139945984,0.9717370062135159969330,\ +0.5348322447389364242554,0.3416590173728764057159,0.9565287167206406593323,\ +0.9951003189198672771454,0.3422884084284305572510,0.7870580093003809452057,\ +0.9234123295173048973084,0.5238970420323312282562} + +#define ZRESULTR {0.5472322176851935893183,0.8423815144738766580446,0.2563943802472780086887,\ +0.6580149781735437075625,0.172270452907771959294,0.2042689977544929758047,\ +0.6702103597375301813344,0.0933634309412847973597,0.0043966214876582573878,\ +0.1108604362841248136551,0.4353327109259368388194,0.2460210551978029014375,\ +0.3863009441992301673530,0.3446203724316067584788,0.2600144972151141042893,\ +0.2878039319893796466054,0.8138720272443707992593,0.6457782886418844681131,\ +0.1786150863987957249091,0.9154066811177691276313,0.7039465385045338141623,\ +0.4186412388856993738173,0.251831143580886374078,0.6392775639808577770040,\ +0.5703895608242733894,0.5327133470263697434532,0.0159949490007091424393,\ +0.3230326909984754801819,0.5715867388279289862396,0.70743658734176706471,\ +0.2704947225723857706647,0.4320127595486245031253,0.3725662344034775808055,\ +0.6443049465819230547936,0.3646176810862393202761,0.3875469668337525042112,\ +0.6717212085417494371598,0.8179578243363959666468,0.2517417237838881494128,\ +0.4994735839970788071618,0.1406387935502509678454,0.3671229322416942886243,\ +0.1118802149170177451243,1.0395621212598731286647,0.3566561127022580546253,\ +0.4468365274738785863917,0.8577631106167230568005,0.4791678319520160100886,\ +0.5912541631998992075481,0.3160997340804129196457,0.2156306076938400706489,\ +0.3241312167359722828941,0.2242273866635746126796,0.1924748395730505323709,\ +0.4911358423279918450355,0.6282969869096745041404,0.1146817647308075033275,\ +0.0536651752624737465869,0.0831424755428421952130,0.5674049454933377534260,\ +0.1867359129769284864508,0.8208629596874984502009,0.2585362736705908437429,\ +0.1732265992600796333800,0.16589114027651630234,0.0042470718039759334031,\ +0.2890982749320905043078,0.6767719859275036498048,0.7485620199211779901560,\ +1.0351949282063730439774,0.0454133801589929955722,0.3115216746749414067352,\ +0.7443929466921332949170,0.2733866129562390612229,0.5404777583133708596108,\ +0.0315703580162773125850,0.147584010699447737425,1.039942513447497107748,\ +0.4737927564457495854811,0.2592593650600479859847,1.0038035523317359043460,\ +0.2114594061381599998661,0.0928125663229541070232,0.8217516921908377680595,\ +0.4991177362348290791339,0.7547125896791468946390,0.5742746733474036746614,\ +0.6663538162766660111203,0.5480484998281744957183,0.6668472960736752108701,\ +0.5728135406334763368719,0.1044902427136027156518,0.3849616107773408679726,\ +0.1483818586286529961349,0.4133800608325002845511,0.2782513626438464227064,\ +0.0611572839884242727693,0.6618291251618653170397,0.7214555888399967198410,\ +1.0365769046431902999927,0.1334450193993464428566,0.5449721531302730292978,\ +0.8875031186053717879858,0.3014734616304127201580,0.4909287752495701262490,\ +0.5518178196952380210050,0.5107438627596426750088,0.7416305403413676611280,\ +0.3314614008027890745822,0.3459827842193233804480,0.4551032028697677422890,\ +0.8397231818014913029558,0.7260395894674003258729,0.8843138378471343541420,\ +0.3026251045027910646645,0.8772951459166481447127,0.4006929045316259263565,\ +0.2482223780387364797662,0.5044338903508289728705,0.5570690492655497871866,\ +0.6907809922454775097833,0.4533479549350135084929,0.5122634930781091444629,\ +0.3310630379415674395816,0.613016054683563793581,0.0467146352521808638780,\ +0.3748904897125588941975,0.6651387060224456249102,0.6124566220104487035414,\ +0.4169978608497757477380,0.0828821922879106609550,0.6616323773282192233225,\ +0.2163376802382008246006,0.6648529631046872223621,0.0768992913125638027916,\ +0.7541728606139842527867,0.0326990726296657319150,0.3155854015657582611887,\ +0.2222045454294520605565,0.5037531760449395212831,0.0474507678257595696958,\ +0.0151606295675061168715,0.5166679862331013950438,0.3394987264597518761278,\ +0.4284286045731299230610,0.3560134790628905476773,0.0298767286161388812005,\ +1.1017278018047820253855,0.1651905315864863887931,0.6431406060888099629480,\ +0.3081371323272805162752,0.0003798849528566614498,0.0973277933130341499357,\ +0.3989833287694000141244,0.3228967085282569149385,0.2549483000782091224323,\ +0.2728461176861247117209,0.7833569024666595659312,0.5060212064439562063001,\ +0.4929175980688511038430,0.9315180933744126035023,0.4867312349946628091679,\ +0.6465368595829137365882,0.1242768439875277936002,0.2492570609243859591775,\ +0.1754042926970652005458,0.0383062756502238338507,0.6930494891633879328552,\ +0.7150128880873719561251,0.2017103771899077802043,1.0425200734321566908847,\ +0.1284418402888304333587,0.0693747355415850891491,0.6782611829725390117929,\ +0.4580719788105512280119,0.8570372579890597197760,0.0258953949937216834631,\ +0.1436236317560128927795,0.2618257507714434328960,0.6360738131964667196883,\ +0.1355372871482912744412,0.4541408129960864403785,0.1337573051159255954623,\ +0.7489238330244115671164,0.3313805035932426146239,0.1646094396781437041444,\ +0.6171903594464053233182,0.8960982240646825358610,0.1740438285898232018134,\ +0.8693877096502734547201,0.1572467731529608725438,0.2318339325462937250411,\ +0.4996847882291703402125,0.0601767100407825661357,0.4302901718551004339730,\ +0.5241328386970756092467,0.0275009970661485095289,0.4028168044525495261610,\ +0.4010021931852675303176,0.2113305958381946625391} + +#define ZRESULTI {0.6214715223992962611632,0.9436786189504819954976,0.9172582471851381535899,\ +1.0284753878837631368981,0.2079498059841204116172,0.1973845021659479948006,\ +0.5261415139330058998723,0.7302311658604533350925,0.7719439236164448159272,\ +0.6822088697503370102737,0.7976066327178688020183,0.9180538587851772014403,\ +1.0207957462450507613028,0.0119750831911820069392,0.879846633700931413102,\ +0.3956357637150365591516,0.3734519291784937355949,0.6773972534299040892947,\ +0.6854109454702602688414,0.0410850121880191737622,0.3420572770093958103743,\ +0.7391907226260076013702,0.7159858470768458715838,1.1108178290074384175767,\ +0.1244362063872984924817,0.9982082241998391225479,0.7878214785460178060106,\ +0.2264493394334471387808,0.552110320407191546010,0.9872379452017052692270,\ +0.4552134557945506365684,0.1414727851379618539518,0.5709593924198277381521,\ +0.8340926447704026802654,0.1855652888756788854163,0.8851645482631337324975,\ +0.2589660662395600887464,0.2440703736645542243355,0.1844003846229365917164,\ +0.4837426621723381336970,0.7691827103731639914130,0.7512840132775820967126,\ +0.7339173856842455823113,0.2110467570718085883463,0.9030907830676864200825,\ +0.4374528982447763447716,0.0206840630038046084660,0.7498395827082200426617,\ +0.3464215069230207055817,0.1447328712349580659424,0.7886833031982384278891,\ +0.312806155477839797907,0.2330978063822336521227,0.7502851663968435058649,\ +0.3515894758711366474557,0.8241207799426445435032,0.1369007991441129890031,\ +0.5180025607419450617286,0.3230663992238576032179,0.2303438195780269093227,\ +0.4935463909681327976387,0.6513439726551492059414,0.8480586102235279089001,\ +0.8386806876018545464646,0.3376822861028858646648,0.5670539014238122899059,\ +0.4231729333084569000256,0.3671714099084233406956,1.13425596729819333497,\ +0.6599735877547936446774,0.0903505740838268234238,0.7302185329365624699705,\ +0.3332210660971928195551,0.7898975683733762132022,0.4499243250096228718959,\ +0.8312282843326663783756,0.303017954499597730322,0.0957670218140728168876,\ +0.7221703011467139887714,0.7273159314358644822463,0.2732920828342843555525,\ +0.7451259889709352934872,0.5326844296662366362583,0.2613476456913891299294,\ +0.8675343198300645708443,0.1197200851202140647889,0.7607940863441885470664,\ +1.090938503691738947765,0.7940557967113777149137,0.9951827798045931317006,\ +1.0852570666616287997641,0.595465988685999203511,0.9585290107353723332295,\ +0.8162216959679288175167,0.0552099482904373911607,0.4388645680780451363567,\ +0.8309698024824113682385,0.9896452984090404747519,1.1051208602025746063902,\ +0.0879648640386297558935,0.7426871822259456523696,0.2387805138959819828415,\ +0.4109188911191957171987,0.9129531289726338094681,1.033237369823349904863,\ +0.8826396237315312642835,0.6523964780046094258381,0.2962811673651402077923,\ +0.538613833971326338990,0.0082053089862361757584,0.8913512641166435601647,\ +0.0350642631947976693,0.3204573641970900332865,0.6295687491907059341045,\ +0.6105613490275437760246,0.0874124111159134270510,0.6742190253215021300548,\ +0.104794765122307897975,0.3057785774947048840211,0.9391488111872891009213,\ +0.4082750199603700225204,0.5150095094925122296559,0.9436041246896892387142,\ +0.1873390728066921528949,0.686076538028982052531,0.7482286603321709472780,\ +0.7231441171996566552593,0.9070157682190420622703,1.2254699773201918056031,\ +0.7954755918374329937137,0.7390808722803764441167,1.1257197223371009364712,\ +0.7479651939595457488252,0.3663340286526505784615,0.6321209550080593153609,\ +0.8213953702909778664676,0.0987172713829019138343,0.4759918803039691614920,\ +0.6467330123916542605755,0.5670425014955073894640,0.7619202005568085356302,\ +0.7400260728625026596106,0.1896730654043395358777,0.3096563558430623364082,\ +0.2803008416090244647734,0.1799702823909465065899,0.8271151236999281231022,\ +0.1034896632231103036359,0.4602495369086131438152,1.2206297477145873209281,\ +0.3787956849306995388282,0.2930275328196350614896,0.0417156660446471733161,\ +0.5157276686593796899416,0.5274236913745330435077,0.3587249786695337894216,\ +0.2422782860407424743165,0.8895205282611465813503,0.4261958074481287384039,\ +0.3516419517981719256028,0.4713702889404160489839,0.0595506543369787033626,\ +1.1782482373185512170011,0.3801066173107530143938,0.4349822461068365009318,\ +0.1599230612164924403285,0.7104933564880103746830,0.9316143186085994454260,\ +0.6420254878605806680980,0.7971748574811535759110,0.2207115251543733114303,\ +0.2390631455930626592110,0.5466671036053578625058,0.9149528397614811181526,\ +0.0641270748267019075062,0.9615389273937551273264,0.4084857821404656030850,\ +0.0284008421665001876966,0.7926291386522584803132,0.2762568577554586624068,\ +0.792535972676840283491,0.407224868689896601914,0.785264393436451157982,\ +0.5053477011274932761964,0.3015786475260285870448,0.7771045707144023095836,\ +0.6452560689270674387785,0.7038409533210520097057,0.6044393344259090250503,\ +0.5582751049083489736091,0.3205680190439157417615,0.8929464541247862374718,\ +0.5894255515487558660936,0.3357333458035489104354,1.0198128299863529200309,\ +1.1643703264707510047771,0.3357866330198117088557,0.8154766229713432679205,\ +0.9578920067258681614320,0.5149424663113579825335} + + + +void dsinhsTest(void) { + double in[]=SOURCE; + double res[]=RESULT; + double out; + int i; + + for (i=0;i<200;i++){ + out=dsinhs(in[i]); + assert(( (fabs(out-res[i]))/(fabs(out)) )<3e-16); + } +} + +void zsinhsTest(void) { + double inR[]=ZSOURCER; + double inI[]=ZSOURCEI; + double resR[]=ZRESULTR; + double resI[]=ZRESULTI; + doubleComplex in,out; + int i; + + for (i=0;i<200;i++){ + in=DoubleComplex(inR[i],inI[i]); + out=zsinhs(in); + assert(( (fabs(zreals(out)-resR[i]))/(fabs(zreals(out))) )<3e-15); + assert(( (fabs(zimags(out)-resI[i]))/(fabs(zimags(out))) )<3e-15); + } +} + +void dsinhaTest(void) { + double in[]=SOURCE; + double res[]=RESULT; + double out[200]; + int i; + + dsinha(in,200,out); + for (i=0;i<200;i++){ + assert(( (fabs(out[i]-res[i]))/(fabs(out[i])) )<3e-16); + } +} + +void zsinhaTest(void) { + double inR[]=ZSOURCER; + double inI[]=ZSOURCEI; + double resR[]=ZRESULTR; + double resI[]=ZRESULTI; + doubleComplex *in,out[200]; + int i; + double mon_testR[9]={1,8,3,2,8,4,3,4,5}; + double mon_testI[9]={0,0,4,0,-1,0,3,0,0}; + double mon_resR[9]={1.1752011936438013783857,1490.4788257895500009909,- 6.548120040911003414408, + 3.6268604078470190188455,805.30914642173127049318,27.289917197127749659558, + - 9.9176210100175374861919,27.289917197127749659558,74.203210577788766499907}; + double mon_resI[9]={0,0,- 7.6192317203214106058340, + 0,- 1254.1949676545177680964,0, + 1.4207485419881773491824,0,0}; + doubleComplex* mon_test; + doubleComplex mon_out[9]; + +mon_test=DoubleComplexMatrix(mon_testR,mon_testI,9); + in=DoubleComplexMatrix(inR,inI,200); + zsinha(in,200,out); + + for (i=0;i<200;i++){ + assert(( (fabs(zreals(out[i])-resR[i]))/(fabs(zreals(out[i]))) )<3e-15); + assert(( (fabs(zimags(out[i])-resI[i]))/(fabs(zimags(out[i]))) )<3e-15); + } + zsinha(mon_test,9,mon_out); + for (i=0;i<9;i++){ + printf("%f + %f*i\n",zreals(mon_out[i]),zimags(mon_out[i])); + assert(( (fabs(zreals(mon_out[i])-mon_resR[i]))/(fabs(zreals(mon_out[i]))) )<3e-16); + if (zimags(mon_out[i])!=0) assert(( (fabs(zimags(mon_out[i])-mon_resI[i]))/(fabs(zimags(mon_out[i]))) )<3e-16); + } +} + +int testSinh() { + printf("\n>>>> Double Hyperbolic Sine Tests\n"); + dsinhsTest(); + zsinhsTest(); + dsinhaTest(); + zsinhaTest(); + return 0; +} + +int main() { + assert(testSinh() == 0); + return 0; +} diff --git a/2.3-1/src/c/elementaryFunctions/sinh/testFloatSinh.c b/2.3-1/src/c/elementaryFunctions/sinh/testFloatSinh.c new file mode 100644 index 00000000..90cbf188 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/sinh/testFloatSinh.c @@ -0,0 +1,495 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Arnaud TORSET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "testSinh.h" + +#define SOURCE {0.7062616096809506416321f,0.4090520101599395275116f,0.3011248558759689331055f,\ +0.1880126395262777805328f,0.1796709178015589714050f,0.2828889950178563594818f,\ +0.7232380937784910202026f,0.7360379849560558795929f,0.1852612206712365150452f,\ +0.7703790138475596904755f,0.1914967410266399383545f,0.7521587223745882511139f,\ +0.6205883463844656944275f,0.2807604051195085048676f,0.2289868686348199844360f,\ +0.5049233403988182544708f,0.8354099662974476814270f,0.8174716415815055370331f,\ +0.0030740275979042053223f,0.3677616142667829990387f,0.8278525872156023979187f,\ +0.72754097869619727135f,0.5323124285787343978882f,0.9267726917751133441925f,\ +0.9542504185810685157776f,0.3162104780785739421845f,0.5789009965956211090088f,\ +0.6881225542165338993073f,0.3714061146602034568787f,0.1705444059334695339203f,\ +0.1954363007098436355591f,0.978800852317363023758f,0.9300233917310833930969f,\ +0.5357720064930617809296f,0.3947123587131500244141f,0.1344871171750128269196f,\ +0.7380615202710032463074f,0.588114650454372167587f,0.9113173168152570724487f,\ +0.5682763461954891681671f,0.1127616921439766883850f,0.9478473584167659282684f,\ +0.5237770043313503265381f,0.8140139640308916568756f,0.1400952627882361412048f,\ +0.2763446993194520473480f,0.9059953633695840835571f,0.1379901585169136524200f,\ +0.5603838684037327766419f,0.3008610638789832592011f,0.4767417535185813904f,\ +0.8127435916103422641754f,0.1988414181396365165710f,0.1107953130267560482025f,\ +0.2159351315349340438843f,0.6467244853265583515167f,0.6597879612818360328674f,\ +0.0691898013465106487274f,0.9164751060307025909424f,0.8635670826770365238190f,\ +0.5032854294404387474060f,0.1832137755118310451508f,0.8403698671609163284302f,\ +0.9247214836068451404572f,0.6229452537372708320618f,0.2773811477236449718475f,\ +0.2479109913110733032227f,0.3891948559321463108063f,0.0436578569933772087097f,\ +0.8132526441477239131928f,0.7686451207846403121948f,0.4041520212776958942413f,\ +0.8579940209165215492249f,0.6993723283521831035614f,0.0828925184905529022217f,\ +0.9201254160143435001373f,0.5200281282886862754822f,0.9351884997449815273285f,\ +0.8825624976307153701782f,0.2245844271965324878693f,0.2153332801535725593567f,\ +0.4327089670114219188690f,0.5800157263875007629395f,0.8876141034997999668121f,\ +0.5258982880041003227234f,0.859640696551650762558f,0.7337234076112508773804f,\ +0.7134532411582767963409f,0.1087165409699082374573f,0.8477638359181582927704f,\ +0.6594733335077762603760f,0.7916418449021875858307f,0.6067967480048537254334f,\ +0.4102901122532784938812f,0.1958728153258562088013f,0.241527963895350694656f,\ +0.5113455550745129585266f,0.9119556057266891002655f,0.0928984880447387695313f,\ +0.7438839026726782321930f,0.1938720373436808586121f,0.4355978979729115962982f,\ +0.9922429900616407394409f,0.4533818070776760578156f,0.8269640663638710975647f,\ +0.8889675955288112163544f,0.4682085178792476654053f,0.3856786251999437808991f,\ +0.4124865522608160972595f,0.6955242282710969448090f,0.0978972557932138442993f,\ +0.8728604433126747608185f,0.6359515609219670295715f,0.4129665228538215160370f,\ +0.0294486805796623229980f,0.1809961968101561069489f,0.7658103061839938163757f,\ +0.1232470511458814144135f,0.0170737411826848983765f,0.8835507561452686786652f,\ +0.3164170170202851295471f,0.9378212536685168743134f,0.3916359134018421173096f,\ +0.0844073877669870853424f,0.6934146797284483909607f,0.4618808380328118801117f,\ +0.9355291295796632766724f,0.0842495900578796863556f,0.5402926551178097724915f,\ +0.5613215523771941661835f,0.1306025832891464233398f,0.5840523042716085910797f,\ +0.0048661706969141960144f,0.2761953338049352169037f,0.7478824090212583541870f,\ +0.0194325004704296588898f,0.6444276878610253334045f,0.2243968318216502666473f,\ +0.2478402368724346160889f,0.1196091384626924991608f,0.1883201440796256065369f,\ +0.3393343067727982997894f,0.959958622232079505920f,0.2847225037403404712677f,\ +0.8766820700839161872864f,0.2853349032811820507050f,0.5103433504700660705566f,\ +0.8752629184164106845856f,0.5941145820543169975281f,0.3945342986844480037689f,\ +0.4661326166242361068726f,0.0073588271625339984894f,0.5170202488079667091370f,\ +0.4690007264725863933563f,0.6654530800879001617432f,0.9476742581464350223541f,\ +0.4933638339862227439880f,0.2918433747254312038422f,0.2016727942973375320435f,\ +0.7016656589694321155548f,0.8736049132421612739563f,0.191055159550160169601f,\ +0.5307010114192962646484f,0.8889481076039373874664f,0.0115523664280772209167f,\ +0.4998398735187947750092f,0.6700848620384931564331f,0.4995208983309566974640f,\ +0.1538907447829842567444f,0.2571737091057002544403f,0.9586529098451137542725f,\ +0.6246025026775896549225f,0.9371285131201148033142f,0.9923511571250855922699f,\ +0.3454555813223123550415f,0.7558249053545296192169f,0.2107181670144200325012f,\ +0.9372652801685035228729f,0.6767524704337120056152f,0.7465373151935636997223f,\ +0.4050982249900698661804f,0.5101723610423505306244f,0.9497965183109045028687f,\ +0.0289692510850727558136f,0.1634070957079529762268f,0.4146909262053668498993f,\ +0.0021650679409503936768f,0.1810030029155313968658f,0.4556188201531767845154f,\ +0.1977851442061364650726f,0.6053877938538789749146f,0.4363054675050079822540f,\ +0.8938506888225674629211f,0.6104825991205871105194f,0.4316215068101882934570f,\ +0.2315693595446646213532f,0.4675927339121699333191f,0.6150764389894902706146f,\ +0.8621218334883451461792f,0.3846137975342571735382f} + +#define RESULT {0.7664580028254754928696f,0.4205551659468407255105f,0.3056963415200024125618f,\ +0.1891222676242167166638f,0.1806391579088424403921f,0.2866772088777344573707f,\ +0.7879588923423612722985f,0.8043199087726096152551f,0.1863227880624591659142f,\ +0.8488736885251115804607f,0.1926692851046332977116f,0.8251135119137460449679f,\ +0.6611970121102711539507f,0.2844635257838270536723f,0.2309932755888478017603f,\ +0.5266533298916223904129f,0.9360312470542428986420f,0.9116099093552539889274f,\ +0.0030740324393184245005f,0.3761077290387422333851f,0.9257063259676088229355f,\ +0.7934443680694276412879f,0.5578100394371053871723f,1.0652568032347091708800f,\ +1.1058113484469005438626f,0.3215064844139553512648f,0.6117813058051149166516f,\ +0.7437286582384788902189f,0.3800039829530417190284f,0.1713723342659267123711f,\ +0.1966828051044853253870f,1.1427508290431065418602f,1.0700119918415624820085f,\ +0.5617747940982125154363f,0.4050417184145185811595f,0.1348928905465842098543f,\ +0.8069184166073162245425f,0.6226085497916535871354f,1.0428015042623968167135f,\ +0.599360373550158476164f,0.1130008086773218733967f,1.0962875524202524424311f,\ +0.5480567058218726028684f,0.9069365704321199483928f,0.1405539802560804574227f,\ +0.2798753950272672152977f,1.0351270996105206290139f,0.1384284939283927651221f,\ +0.5901774101693750829156f,0.3054205096845967748465f,0.4950072868345940513279f,\ +0.9052222830609093495724f,0.2001543065651501807079f,0.1110221320487437962621f,\ +0.2176171514122479666575f,0.6927590813444466366633f,0.7087105942005499370495f,\ +0.0692450191279527643706f,1.0502673603752690212332f,0.9749750092666438217037f,\ +0.5248028600685283873162f,0.1842404954551666029783f,0.9428365029551442066946f,\ +1.0622620507764020114649f,0.6640243707694319930113f,0.2809518213531947417039f,\ +0.2504582355084098987952f,0.3990949339123049943723f,0.0436717270227189244269f,\ +0.9059090417535855532805f,0.8466005962798425210636f,0.4152445147326426222456f,\ +0.9672066028315211561051f,0.7577960172200091104600f,0.0829874792017267076671f,\ +1.0555680256611981171488f,0.5437855687819154182350f,1.0775908909563920446f,\ +1.0016820806611792527008f,0.2264771318543304656767f,0.2170012532427569029725f,\ +0.4463391386879682620759f,0.6130884787237118604963f,1.0088449524118139333240f,\ +0.5504769168224112885213f,0.9694988006053883999869f,0.8013516989017863689782f,\ +0.7755389514921953164617f,0.1089308262191755055648f,0.9530245458199384511744f,\ +0.7083249989659490264415f,0.8769583844905950442694f,0.6447256579530228348673f,\ +0.4218986249201953087074f,0.1971277014550009420990f,0.2438831089846125732557f,\ +0.533922660930493120368f,1.0437239139050094038907f,0.0930321667054502116079f,\ +0.8144136536953445748566f,0.1950888127224135459858f,0.4495046404602288658836f,\ +1.1632667385972190743360f,0.4690747173387543877965f,0.9244959100750387293033f,\ +1.0107684876711933164017f,0.4855037229984789926007f,0.3953114776639800043157f,\ +0.4242835646837694318911f,0.7529734313215303842526f,0.0980537032157421939438f,\ +0.9879966883143458389327f,0.6796935751591178798137f,0.4248049987494686430267f,\ +0.0294529372018587365378f,0.1819860446417611021808f,0.8428897015241260115559f,\ +0.1235593052805215308343f,0.0170745707299980210847f,1.00308135457124825152f,\ +0.3217234423590110692359f,1.0814650488452381971172f,0.4017244052147506683248f,\ +0.0845076517232198759499f,0.7503344007980436991545f,0.4784793780524976836155f,\ +1.0780917143422910076112f,0.0843492926084187938374f,0.5669657003997248256866f,\ +0.5912664777040658181662f,0.1309741822002446487439f,0.6178283036240778125503f,\ +0.0048661899017801981890f,0.2797202929941594029550f,0.8195769639564471908955f,\ +0.0194337235170454029898f,0.6899668115272159507612f,0.2262847895615458237995f,\ +0.2503852962589531161441f,0.1198945374904236832458f,0.1894352321040725928292f,\ +0.3458841682539985917799f,1.114339839966214773526f,0.2885850554536735224076f,\ +0.9933761739682215319292f,0.2892224999614779745727f,0.5327868189334407089675f,\ +0.9913768259985344943885f,0.6296876098817790756712f,0.4048496130982584539915f,\ +0.4831971402378967828106f,0.0073588935789954878705f,0.5403641862154227037962f,\ +0.4863845156450118945024f,0.7156655787491872366957f,1.0960307119322381108617f,\ +0.5136236116845008803367f,0.2960038943626104313012f,0.2030426468819693797130f,\ +0.7606754386337204465463f,0.9890435019692191964680f,0.1922196010078167094370f,\ +0.5559656008212838784743f,1.0107407789878923853877f,0.0115526233874804207247f,\ +0.5209147493956211016908f,0.72136900661981750993f,0.5205551177967873144326f,\ +0.1544988804781949887079f,0.2600179378248433925691f,1.112385813317804839073f,\ +0.6660146232231449747729f,1.080444939603935505801f,1.163432674859314452931f,\ +0.3523677837341518959136f,0.8298721326257240127333f,0.212281022488974985274f,\ +1.0806462976206427928361f,0.729606491474904528260f,0.8178385727082368994445f,\ +0.4162692379888194293969f,0.5325930826611361412759f,1.099181921047706733674f,\ +0.0289733031722175932154f,0.1641352799703627574068f,0.4266791772900341284114f,\ +0.0021650696324170431474f,0.1819929625387523564051f,0.4715467862637556795136f,\ +0.1990771937658423751394f,0.6430498957811131566231f,0.4502805198476966808130f,\ +1.0177235844677285925286f,0.6491155460121008635710f,0.4451485373036410675418f,\ +0.2336445425260662012157f,0.4848192931203018085640f,0.6545992099992568036271f,\ +0.9729575479551634265008f,0.394166691840286298465f} + +#define CSOURCER {0.6045256052166223526001f,0.9455216196365654468536f,0.4476299257948994636536f,\ +0.8624908211641013622284f,0.1751048639416694641113f,0.2067177616991102695465f,\ +0.6848411662504076957703f,0.1348653226159512996674f,0.0069159921258687973022f,\ +0.1496290047653019428253f,0.5665438110008835792542f,0.4359452719800174236298f,\ +0.6547604538500308990479f,0.3381605879403650760651f,0.4259321158751845359802f,\ +0.3060420057736337184906f,0.7704779822379350662231f,0.7058695447631180286408f,\ +0.2373670237138867378235f,0.8205849635414779186249f,0.6789963841438293457031f,\ +0.5250809141434729099274f,0.3359806565567851066589f,0.8941988362930715084076f,\ +0.5461782198399305343628f,0.7568633262999355792999f,0.0259526828303933143616f,\ +0.3250150899402797222138f,0.6072143577039241791f,0.8756139636971056461334f,\ +0.2962085595354437828064f,0.4229678637348115444183f,0.4243144039064645767212f,\ +0.7620028969831764698029f,0.3622896494343876838684f,0.5658242437057197093964f,\ +0.6424440070986747741699f,0.7580267959274351596832f,0.2531452132388949394226f,\ +0.5266989110969007015228f,0.2118590380996465682983f,0.4779220153577625751495f,\ +0.1615962767973542213440f,0.9168031658045947551727f,0.5461866445839405059815f,\ +0.4686870560981333255768f,0.7772213732823729515076f,0.5871783248148858547211f,\ +0.5848031807690858840942f,0.3139644009061157703400f,0.3204141603782773017883f,\ +0.3331634956412017345429f,0.2282590121030807495117f,0.2750317254103720188141f,\ +0.4963629124686121940613f,0.7453477247618138790131f,0.1155001949518918991089f,\ +0.0626524840481579303741f,0.0877018878236413002014f,0.5507565210573375225067f,\ +0.2116370312869548797607f,0.8335358710028231143951f,0.4045845707878470420837f,\ +0.2880227542482316493988f,0.1750094983726739883423f,0.0051561561413109302521f,\ +0.3109287889674305915833f,0.6602919283322989940643f,0.9722995534539222717285f,\ +0.9826813959516584873200f,0.0455837054178118705750f,0.4096118300221860408783f,\ +0.7104403134435415267944f,0.3917615194804966449738f,0.5571686858311295509338f,\ +0.0565565521828830242157f,0.1540721096098423004150f,0.9109257892705500125885f,\ +0.5713340407237410545349f,0.3488348922692239284515f,0.8972954172641038894653f,\ +0.2973396372981369495392f,0.1091936426237225532532f,0.7626331257633864879608f,\ +0.6584706604480743408203f,0.6996708759106695652008f,0.6756794182583689689636f,\ +0.9004421546123921871185f,0.6668148916214704513550f,0.8518152837641537189484f,\ +0.8365677157416939735413f,0.1291190306656062602997f,0.6095453463494777679443f,\ +0.2412315667606890201569f,0.4029275467619299888611f,0.3019328541122376918793f,\ +0.1083198729902505874634f,0.8456356939859688282013f,0.9417407037690281867981f,\ +0.9083450469188392162323f,0.1937242373824119567871f,0.5318046086467802524567f,\ +0.8314437521621584892273f,0.4952740012668073177338f,0.7465563025325536727905f,\ +0.7102393140085041522980f,0.5811418974772095680237f,0.7035941029898822307587f,\ +0.3746570833027362823486f,0.3394373343326151371002f,0.6322447275742888450623f,\ +0.7636191300116479396820f,0.6940386760979890823364f,0.8735245508141815662384f,\ +0.3612738298252224922180f,0.7933200257830321788788f,0.4830590635538101196289f,\ +0.2469964125193655490875f,0.5025922833010554313660f,0.7430270477198064327240f,\ +0.6783937942236661911011f,0.4903185223229229450226f,0.709806025959551334381f,\ +0.3303662906400859355927f,0.6815545372664928436279f,0.0701365978457033634186f,\ +0.4745870968326926231384f,0.8091805852018296718597f,0.9447045121341943740845f,\ +0.5478458073921501636505f,0.1216687532141804695129f,0.9161847713403403759003f,\ +0.3045207932591438293457f,0.6502694808878004550934f,0.0987624628469347953796f,\ +0.8391053467057645320892f,0.0328534897416830062866f,0.3461971958167850971222f,\ +0.2801467711105942726135f,0.5500544901005923748016f,0.0729318000376224517822f,\ +0.0225322381593286991119f,0.50267804320901632309f,0.3478884599171578884125f,\ +0.4298669416457414627075f,0.3537984383292496204376f,0.0529730813577771186829f,\ +0.9533003675751388072968f,0.1842019557952880859375f,0.958756382111459970474f,\ +0.3245136169716715812683f,0.0003973259590566158295f,0.0972583871334791183472f,\ +0.4378789965994656086f,0.3634226778522133827210f,0.2685119728557765483856f,\ +0.2770298384130001068115f,0.8854365111328661441803f,0.5216628303751349449158f,\ +0.4979983693920075893f,0.8733724001795053482056f,0.4699407932348549365997f,\ +0.9364062966778874397278f,0.1337622734718024730682f,0.2712419554591178894043f,\ +0.1766990595497190952301f,0.0543269468471407890320f,0.8402757882140576839447f,\ +0.7507283594459295272827f,0.3062269617803394794464f,0.9195641661062836647034f,\ +0.1318263853900134563446f,0.0826364941895008087158f,0.8222710476256906986237f,\ +0.4441085970029234886169f,0.9617503038607537746429f,0.0283641982823610305786f,\ +0.1431905967183411121368f,0.3793597565963864326477f,0.6144003230147063732147f,\ +0.2128270715475082397461f,0.4704488315619528293610f,0.2076055286452174186707f,\ +0.7435979112051427364349f,0.3391801547259092330933f,0.2479635034687817096710f,\ +0.6721735307946801185608f,0.9013197491876780986786f,0.2140864841639995574951f,\ +0.8460668534971773624420f,0.1650043567642569541931f,0.4003686285577714443207f,\ +0.5522825215011835098267f,0.0638249483890831470490f,0.6903966935351490974426f,\ +0.8547787251882255077362f,0.0291904583573341369629f,0.5434663915075361728668f,\ +0.6236743135377764701843f,0.2417052476666867733002f} + +#define CSOURCEI {0.5503273960202932357788f,0.6906704087741672992706f,0.9835249418392777442932f,\ +0.8285484607331454753876f,0.2062614001333713531494f,0.1944643096067011356354f,\ +0.4367609983310103416443f,0.8090620837174355983734f,0.8818644303828477859497f,\ +0.7404803228564560413361f,0.7542522149160504341126f,0.9921960639767348766327f,\ +0.9886121451854705810547f,0.0113218077458441257477f,0.9367801276966929435730f,\ +0.3874237253330647945404f,0.2886805813759565353394f,0.567788839805871248245f,\ +0.7295644441619515419006f,0.0303032915107905864716f,0.2795897088944911956787f,\ +0.7047131718136370182037f,0.7442112853750586509705f,0.8920237845741212368012f,\ +0.1081438604742288589478f,0.8751525697298347949982f,0.9068333031609654426575f,\ +0.2166852983646094799042f,0.4824190363287925720215f,0.7766945236362516880035f,\ +0.4510916722938418388367f,0.1300636469386518001556f,0.5505470838397741317749f,\ +0.6936193336732685565949f,0.1749099576845765113831f,0.8636093880049884319305f,\ +0.2150467522442340850830f,0.1886725709773600101471f,0.1796098565682768821716f,\ +0.4374312213622033596039f,0.8514516223222017288208f,0.7381969136185944080353f,\ +0.8102188156917691230774f,0.1460137623362243175507f,0.8999849110841751098633f,\ +0.4043733575381338596344f,0.0156995235010981559753f,0.6904196902178227901459f,\ +0.2990311514586210250855f,0.1383218024857342243195f,0.8478512773290276527405f,\ +0.3007262717001140117645f,0.229154746979475021362f,0.8078110129572451114655f,\ +0.3176332255825400352478f,0.6924462593160569667816f,0.1364154014736413955689f,\ +0.5433279541321098804474f,0.3276594849303364753723f,0.2006831648759543895721f,\ +0.5037304237484931945801f,0.4962565028108656406403f,0.8996161324903368949890f,\ +0.9357709079049527645111f,0.3390339072793722152710f,0.6029155333526432514191f,\ +0.4153500730171799659729f,0.3041478390805423259735f,0.8489827848970890045166f,\ +0.4482063786126673221588f,0.0903797810897231101990f,0.7382151386700570583344f,\ +0.2669597584754228591919f,0.8226196658797562122345f,0.3985779182985424995422f,\ +0.9789295899681746959686f,0.3041231036186218261719f,0.0663515278138220310211f,\ +0.6667758254334330558777f,0.7548807277344167232513f,0.1922533493489027023315f,\ +0.7942791883833706378937f,0.5580398896709084510803f,0.2016023616306483745575f,\ +0.787146832793951034546f,0.0955459238030016422272f,0.6623697867617011070252f,\ +0.864868474658578634262f,0.7013061288744211196899f,0.8015053984709084033966f,\ +0.9135685982182621955872f,0.6317234965972602367401f,0.9346773549914360046387f,\ +0.9157753759063780307770f,0.0510348035022616386414f,0.4329969524405896663666f,\ +0.9721843507140874862671f,0.8001508046872913837433f,0.8452261472120881080627f,\ +0.0610524858348071575165f,0.8168097324669361114502f,0.2101262793876230716705f,\ +0.3055453812703490257263f,0.9465212575159966945648f,0.9269728232175111770630f,\ +0.7737778765149414539337f,0.5893978821113705635071f,0.2377697187475860118866f,\ +0.5269544571638107299805f,0.0077543654479086399078f,0.8311711428686976432800f,\ +0.0268517597578465938568f,0.2591186594218015670776f,0.4641277943737804889679f,\ +0.6098861405625939369202f,0.0656952331773936748505f,0.6466812007129192352295f,\ +0.1018534512259066104889f,0.2742705782875418663025f,0.8162728524766862392426f,\ +0.3357750270515680313110f,0.4765891996212303638458f,0.8440040023997426033020f,\ +0.1785074654035270214081f,0.5855625644326210021973f,0.8426241897977888584137f,\ +0.7058847947046160697937f,0.7396617024205625057221f,0.9751448985189199447632f,\ +0.7606669445522129535675f,0.8236690396443009376526f,0.8889620001427829265595f,\ +0.7960178293287754058838f,0.3052428201772272586823f,0.6803312664851546287537f,\ +0.6412069997750222682953f,0.0988248009234666824341f,0.4654508423991501331329f,\ +0.6714970665052533149719f,0.5131103205494582653046f,0.8631567060947418212891f,\ +0.8328299173153936862946f,0.1687975851818919181824f,0.2961277081631124019623f,\ +0.2591485660523176193237f,0.1700844173319637775421f,0.9718958893790841102600f,\ +0.0695185582153499126434f,0.4696230851113796234131f,0.9544191421009600162506f,\ +0.3679352095350623130798f,0.2973918146453797817230f,0.0415310803800821304321f,\ +0.4892336544580757617950f,0.5171590568497776985169f,0.3534862431697547435761f,\ +0.2354387864470481872559f,0.6779259913600981235504f,0.3834532154724001884460f,\ +0.3174350797198712825775f,0.3418120350688695907593f,0.0535557498224079608917f,\ +0.9285596096888184547424f,0.3862650538794696331024f,0.4328473098576068878174f,\ +0.1581165478564798831940f,0.7887120461091399192810f,0.7448797873221337795258f,\ +0.5185996759682893753052f,0.8651678604073822498322f,0.1524438308551907539368f,\ +0.2392775672487914562225f,0.5761575847864151000977f,0.7395762302912771701813f,\ +0.0583172617480158805847f,0.6962534948252141475678f,0.4206145536154508590698f,\ +0.0281158541329205036163f,0.8313249954953789710999f,0.2333360086195170879364f,\ +0.8865877203643321990967f,0.3746785433031618595123f,0.87671328987926244736f,\ +0.4027077830396592617035f,0.2890332732349634170532f,0.8538430598564445972443f,\ +0.5499771209433674812317f,0.5128610017709434032440f,0.6321087554097175598145f,\ +0.4165538274683058261871f,0.3217771751806139945984f,0.9717370062135159969330f,\ +0.5348322447389364242554f,0.3416590173728764057159f,0.9565287167206406593323f,\ +0.9951003189198672771454f,0.3422884084284305572510f,0.7870580093003809452057f,\ +0.9234123295173048973084f,0.5238970420323312282562f} + +#define CRESULTR {0.5472322176851935893183f,0.8423815144738766580446f,0.2563943802472780086887f,\ +0.6580149781735437075625f,0.172270452907771959294f,0.2042689977544929758047f,\ +0.6702103597375301813344f,0.0933634309412847973597f,0.0043966214876582573878f,\ +0.1108604362841248136551f,0.4353327109259368388194f,0.2460210551978029014375f,\ +0.3863009441992301673530f,0.3446203724316067584788f,0.2600144972151141042893f,\ +0.2878039319893796466054f,0.8138720272443707992593f,0.6457782886418844681131f,\ +0.1786150863987957249091f,0.9154066811177691276313f,0.7039465385045338141623f,\ +0.4186412388856993738173f,0.251831143580886374078f,0.6392775639808577770040f,\ +0.5703895608242733894f,0.5327133470263697434532f,0.0159949490007091424393f,\ +0.3230326909984754801819f,0.5715867388279289862396f,0.70743658734176706471f,\ +0.2704947225723857706647f,0.4320127595486245031253f,0.3725662344034775808055f,\ +0.6443049465819230547936f,0.3646176810862393202761f,0.3875469668337525042112f,\ +0.6717212085417494371598f,0.8179578243363959666468f,0.2517417237838881494128f,\ +0.4994735839970788071618f,0.1406387935502509678454f,0.3671229322416942886243f,\ +0.1118802149170177451243f,1.0395621212598731286647f,0.3566561127022580546253f,\ +0.4468365274738785863917f,0.8577631106167230568005f,0.4791678319520160100886f,\ +0.5912541631998992075481f,0.3160997340804129196457f,0.2156306076938400706489f,\ +0.3241312167359722828941f,0.2242273866635746126796f,0.1924748395730505323709f,\ +0.4911358423279918450355f,0.6282969869096745041404f,0.1146817647308075033275f,\ +0.0536651752624737465869f,0.0831424755428421952130f,0.5674049454933377534260f,\ +0.1867359129769284864508f,0.8208629596874984502009f,0.2585362736705908437429f,\ +0.1732265992600796333800f,0.16589114027651630234f,0.0042470718039759334031f,\ +0.2890982749320905043078f,0.6767719859275036498048f,0.7485620199211779901560f,\ +1.0351949282063730439774f,0.0454133801589929955722f,0.3115216746749414067352f,\ +0.7443929466921332949170f,0.2733866129562390612229f,0.5404777583133708596108f,\ +0.0315703580162773125850f,0.147584010699447737425f,1.039942513447497107748f,\ +0.4737927564457495854811f,0.2592593650600479859847f,1.0038035523317359043460f,\ +0.2114594061381599998661f,0.0928125663229541070232f,0.8217516921908377680595f,\ +0.4991177362348290791339f,0.7547125896791468946390f,0.5742746733474036746614f,\ +0.6663538162766660111203f,0.5480484998281744957183f,0.6668472960736752108701f,\ +0.5728135406334763368719f,0.1044902427136027156518f,0.3849616107773408679726f,\ +0.1483818586286529961349f,0.4133800608325002845511f,0.2782513626438464227064f,\ +0.0611572839884242727693f,0.6618291251618653170397f,0.7214555888399967198410f,\ +1.0365769046431902999927f,0.1334450193993464428566f,0.5449721531302730292978f,\ +0.8875031186053717879858f,0.3014734616304127201580f,0.4909287752495701262490f,\ +0.5518178196952380210050f,0.5107438627596426750088f,0.7416305403413676611280f,\ +0.3314614008027890745822f,0.3459827842193233804480f,0.4551032028697677422890f,\ +0.8397231818014913029558f,0.7260395894674003258729f,0.8843138378471343541420f,\ +0.3026251045027910646645f,0.8772951459166481447127f,0.4006929045316259263565f,\ +0.2482223780387364797662f,0.5044338903508289728705f,0.5570690492655497871866f,\ +0.6907809922454775097833f,0.4533479549350135084929f,0.5122634930781091444629f,\ +0.3310630379415674395816f,0.613016054683563793581f,0.0467146352521808638780f,\ +0.3748904897125588941975f,0.6651387060224456249102f,0.6124566220104487035414f,\ +0.4169978608497757477380f,0.0828821922879106609550f,0.6616323773282192233225f,\ +0.2163376802382008246006f,0.6648529631046872223621f,0.0768992913125638027916f,\ +0.7541728606139842527867f,0.0326990726296657319150f,0.3155854015657582611887f,\ +0.2222045454294520605565f,0.5037531760449395212831f,0.0474507678257595696958f,\ +0.0151606295675061168715f,0.5166679862331013950438f,0.3394987264597518761278f,\ +0.4284286045731299230610f,0.3560134790628905476773f,0.0298767286161388812005f,\ +1.1017278018047820253855f,0.1651905315864863887931f,0.6431406060888099629480f,\ +0.3081371323272805162752f,0.0003798849528566614498f,0.0973277933130341499357f,\ +0.3989833287694000141244f,0.3228967085282569149385f,0.2549483000782091224323f,\ +0.2728461176861247117209f,0.7833569024666595659312f,0.5060212064439562063001f,\ +0.4929175980688511038430f,0.9315180933744126035023f,0.4867312349946628091679f,\ +0.6465368595829137365882f,0.1242768439875277936002f,0.2492570609243859591775f,\ +0.1754042926970652005458f,0.0383062756502238338507f,0.6930494891633879328552f,\ +0.7150128880873719561251f,0.2017103771899077802043f,1.0425200734321566908847f,\ +0.1284418402888304333587f,0.0693747355415850891491f,0.6782611829725390117929f,\ +0.4580719788105512280119f,0.8570372579890597197760f,0.0258953949937216834631f,\ +0.1436236317560128927795f,0.2618257507714434328960f,0.6360738131964667196883f,\ +0.1355372871482912744412f,0.4541408129960864403785f,0.1337573051159255954623f,\ +0.7489238330244115671164f,0.3313805035932426146239f,0.1646094396781437041444f,\ +0.6171903594464053233182f,0.8960982240646825358610f,0.1740438285898232018134f,\ +0.8693877096502734547201f,0.1572467731529608725438f,0.2318339325462937250411f,\ +0.4996847882291703402125f,0.0601767100407825661357f,0.4302901718551004339730f,\ +0.5241328386970756092467f,0.0275009970661485095289f,0.4028168044525495261610f,\ +0.4010021931852675303176f,0.2113305958381946625391f} + +#define CRESULTI {0.6214715223992962611632f,0.9436786189504819954976f,0.9172582471851381535899f,\ +1.0284753878837631368981f,0.2079498059841204116172f,0.1973845021659479948006f,\ +0.5261415139330058998723f,0.7302311658604533350925f,0.7719439236164448159272f,\ +0.6822088697503370102737f,0.7976066327178688020183f,0.9180538587851772014403f,\ +1.0207957462450507613028f,0.0119750831911820069392f,0.879846633700931413102f,\ +0.3956357637150365591516f,0.3734519291784937355949f,0.6773972534299040892947f,\ +0.6854109454702602688414f,0.0410850121880191737622f,0.3420572770093958103743f,\ +0.7391907226260076013702f,0.7159858470768458715838f,1.1108178290074384175767f,\ +0.1244362063872984924817f,0.9982082241998391225479f,0.7878214785460178060106f,\ +0.2264493394334471387808f,0.552110320407191546010f,0.9872379452017052692270f,\ +0.4552134557945506365684f,0.1414727851379618539518f,0.5709593924198277381521f,\ +0.8340926447704026802654f,0.1855652888756788854163f,0.8851645482631337324975f,\ +0.2589660662395600887464f,0.2440703736645542243355f,0.1844003846229365917164f,\ +0.4837426621723381336970f,0.7691827103731639914130f,0.7512840132775820967126f,\ +0.7339173856842455823113f,0.2110467570718085883463f,0.9030907830676864200825f,\ +0.4374528982447763447716f,0.0206840630038046084660f,0.7498395827082200426617f,\ +0.3464215069230207055817f,0.1447328712349580659424f,0.7886833031982384278891f,\ +0.312806155477839797907f,0.2330978063822336521227f,0.7502851663968435058649f,\ +0.3515894758711366474557f,0.8241207799426445435032f,0.1369007991441129890031f,\ +0.5180025607419450617286f,0.3230663992238576032179f,0.2303438195780269093227f,\ +0.4935463909681327976387f,0.6513439726551492059414f,0.8480586102235279089001f,\ +0.8386806876018545464646f,0.3376822861028858646648f,0.5670539014238122899059f,\ +0.4231729333084569000256f,0.3671714099084233406956f,1.13425596729819333497f,\ +0.6599735877547936446774f,0.0903505740838268234238f,0.7302185329365624699705f,\ +0.3332210660971928195551f,0.7898975683733762132022f,0.4499243250096228718959f,\ +0.8312282843326663783756f,0.303017954499597730322f,0.0957670218140728168876f,\ +0.7221703011467139887714f,0.7273159314358644822463f,0.2732920828342843555525f,\ +0.7451259889709352934872f,0.5326844296662366362583f,0.2613476456913891299294f,\ +0.8675343198300645708443f,0.1197200851202140647889f,0.7607940863441885470664f,\ +1.090938503691738947765f,0.7940557967113777149137f,0.9951827798045931317006f,\ +1.0852570666616287997641f,0.595465988685999203511f,0.9585290107353723332295f,\ +0.8162216959679288175167f,0.0552099482904373911607f,0.4388645680780451363567f,\ +0.8309698024824113682385f,0.9896452984090404747519f,1.1051208602025746063902f,\ +0.0879648640386297558935f,0.7426871822259456523696f,0.2387805138959819828415f,\ +0.4109188911191957171987f,0.9129531289726338094681f,1.033237369823349904863f,\ +0.8826396237315312642835f,0.6523964780046094258381f,0.2962811673651402077923f,\ +0.538613833971326338990f,0.0082053089862361757584f,0.8913512641166435601647f,\ +0.0350642631947976693f,0.3204573641970900332865f,0.6295687491907059341045f,\ +0.6105613490275437760246f,0.0874124111159134270510f,0.6742190253215021300548f,\ +0.104794765122307897975f,0.3057785774947048840211f,0.9391488111872891009213f,\ +0.4082750199603700225204f,0.5150095094925122296559f,0.9436041246896892387142f,\ +0.1873390728066921528949f,0.686076538028982052531f,0.7482286603321709472780f,\ +0.7231441171996566552593f,0.9070157682190420622703f,1.2254699773201918056031f,\ +0.7954755918374329937137f,0.7390808722803764441167f,1.1257197223371009364712f,\ +0.7479651939595457488252f,0.3663340286526505784615f,0.6321209550080593153609f,\ +0.8213953702909778664676f,0.0987172713829019138343f,0.4759918803039691614920f,\ +0.6467330123916542605755f,0.5670425014955073894640f,0.7619202005568085356302f,\ +0.7400260728625026596106f,0.1896730654043395358777f,0.3096563558430623364082f,\ +0.2803008416090244647734f,0.1799702823909465065899f,0.8271151236999281231022f,\ +0.1034896632231103036359f,0.4602495369086131438152f,1.2206297477145873209281f,\ +0.3787956849306995388282f,0.2930275328196350614896f,0.0417156660446471733161f,\ +0.5157276686593796899416f,0.5274236913745330435077f,0.3587249786695337894216f,\ +0.2422782860407424743165f,0.8895205282611465813503f,0.4261958074481287384039f,\ +0.3516419517981719256028f,0.4713702889404160489839f,0.0595506543369787033626f,\ +1.1782482373185512170011f,0.3801066173107530143938f,0.4349822461068365009318f,\ +0.1599230612164924403285f,0.7104933564880103746830f,0.9316143186085994454260f,\ +0.6420254878605806680980f,0.7971748574811535759110f,0.2207115251543733114303f,\ +0.2390631455930626592110f,0.5466671036053578625058f,0.9149528397614811181526f,\ +0.0641270748267019075062f,0.9615389273937551273264f,0.4084857821404656030850f,\ +0.0284008421665001876966f,0.7926291386522584803132f,0.2762568577554586624068f,\ +0.792535972676840283491f,0.407224868689896601914f,0.785264393436451157982f,\ +0.5053477011274932761964f,0.3015786475260285870448f,0.7771045707144023095836f,\ +0.6452560689270674387785f,0.7038409533210520097057f,0.6044393344259090250503f,\ +0.5582751049083489736091f,0.3205680190439157417615f,0.8929464541247862374718f,\ +0.5894255515487558660936f,0.3357333458035489104354f,1.0198128299863529200309f,\ +1.1643703264707510047771f,0.3357866330198117088557f,0.8154766229713432679205f,\ +0.9578920067258681614320f,0.5149424663113579825335f} + + + + +void ssinhsTest(void) { + float in[]=SOURCE; + float res[]=RESULT; + float out; + int i; + + for (i=0;i<200;i++){ + out=ssinhs(in[i]); + assert(( (fabs(out-res[i]))/(fabs(out)) )<1e-6); + } +} + +void csinhsTest(void) { + float inR[]=CSOURCER; + float inI[]=CSOURCEI; + float resR[]=CRESULTR; + float resI[]=CRESULTI; + floatComplex in,out; + int i; + + for (i=0;i<200;i++){ + in=FloatComplex(inR[i],inI[i]); + out=csinhs(in); + assert(( (fabs(creals(out)-resR[i]))/(fabs(creals(out))) )<1e-6); + assert(( (fabs(cimags(out)-resI[i]))/(fabs(cimags(out))) )<1e-6); + } +} + +void ssinhaTest(void) { + float in[]=SOURCE; + float res[]=RESULT; + float out[200]; + int i,j; + j=1; + ssinha(in,200,out); + for (i=0;i<200;i++){ + assert(( (fabs(out[i]-res[i]))/(fabs(out[i])) )<1e-6); + } +} + +void csinhaTest(void) { + float inR[]=CSOURCER; + float inI[]=CSOURCEI; + float resR[]=CRESULTR; + float resI[]=CRESULTI; + floatComplex *in,out[200]; + int i; + + in=FloatComplexMatrix(inR,inI,200); + csinha(in,200,out); + + for (i=0;i<200;i++){ + assert(( (fabs(creals(out[i])-resR[i]))/(fabs(creals(out[i]))) )<1e-6); + assert(( (fabs(cimags(out[i])-resI[i]))/(fabs(cimags(out[i]))) )<1e-6); + } +} + +int testSinh() { + printf("\n>>>> Hyperbolic Sine Tests\n"); + ssinhsTest(); + csinhsTest(); + ssinhaTest(); + csinhaTest(); + return 0; +} + +int main() { + assert(testSinh() == 0); + return 0; +} diff --git a/2.3-1/src/c/elementaryFunctions/sinh/testSinh.h b/2.3-1/src/c/elementaryFunctions/sinh/testSinh.h new file mode 100644 index 00000000..cdb432eb --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/sinh/testSinh.h @@ -0,0 +1,40 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2007-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#ifndef _TESTSINH_H_ +#define _TESTSINH_H_ + +#include <stdio.h> +#include <assert.h> +#include <math.h> +#include "sinh.h" +#include "constant.h" + +void ssinhsTest(void); + +void dsinhsTest(void); + +void csinhsTest(void); + +void zsinhsTest(void); + +void ssinhaTest(void); + +void dsinhaTest(void); + +void csinhaTest(void); + +void zsinhaTest(void); + +int testSinh(void); + +#endif /* !_TESTSINH_H_ */ diff --git a/2.3-1/src/c/elementaryFunctions/sinh/zsinha.c b/2.3-1/src/c/elementaryFunctions/sinh/zsinha.c new file mode 100644 index 00000000..59d18d47 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/sinh/zsinha.c @@ -0,0 +1,20 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "sinh.h" + +void zsinha(doubleComplex* x, int size, doubleComplex* y) { + int i = 0; + for (i = 0; i < size; ++i) { + y[i] = zsinhs(x[i]); + } +} diff --git a/2.3-1/src/c/elementaryFunctions/sinh/zsinhs.c b/2.3-1/src/c/elementaryFunctions/sinh/zsinhs.c new file mode 100644 index 00000000..3ea4e71c --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/sinh/zsinhs.c @@ -0,0 +1,22 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "sinh.h" +#include "sin.h" + +doubleComplex zsinhs(doubleComplex z) { + double real = zreals(z); + double imag = zimags(z); + + doubleComplex result = zsins(DoubleComplex(-imag, real)); + return (DoubleComplex(zimags(result), -zreals(result))); +} diff --git a/2.3-1/src/c/elementaryFunctions/sqrt/Makefile.am b/2.3-1/src/c/elementaryFunctions/sqrt/Makefile.am new file mode 100644 index 00000000..6cde141a --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/sqrt/Makefile.am @@ -0,0 +1,65 @@ +## +## Scilab ( http://www.scilab.org/ ) - This file is part of Scilab +## Copyright (C) 2007-2008 - INRIA - Bruno JOFRET +## +## This file must be used under the terms of the CeCILL. +## This source file is licensed as described in the file COPYING, which +## you should have received as part of this distribution. The terms +## are also available at +## http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt +## +## + +libSqrt_la_CFLAGS = -I $(top_builddir)/src/c/type \ + -I $(top_builddir)/src/c/elementaryFunctions/includes \ + -I $(top_builddir)/src/c/auxiliaryFunctions/includes \ + -I $(top_builddir)/src/c/operations/includes + +instdir = $(top_builddir)/lib + +pkglib_LTLIBRARIES = libSqrt.la + +libSqrt_la_SOURCES = $(HEAD) $(SRC) + +SRC = ssqrts.c \ + dsqrts.c \ + csqrts.c \ + zsqrts.c \ + ssqrta.c \ + dsqrta.c \ + csqrta.c \ + zsqrta.c + +HEAD = ../includes/sqrt.h + +#### +# Checking Part +#### + +check_INCLUDES = -I $(top_builddir)/src/c/elementaryFunctions/includes \ + -I $(top_builddir)/src/c/type + +check_LDADD = $(top_builddir)/src/c/type/libDoubleComplex.la \ + $(top_builddir)/src/c/type/libFloatComplex.la \ + $(top_builddir)/src/c/operations/addition/libAddition.la \ + $(top_builddir)/src/fortran/lapack/libscilapack.la \ + $(top_builddir)/src/c/elementaryFunctions/sqrt/libSqrt.la \ + $(top_builddir)/src/c/auxiliaryFunctions/abs/libAbs.la \ + $(top_builddir)/src/c/auxiliaryFunctions/pythag/libPythag.la \ + $(top_builddir)/src/c/operations/multiplication/libMultiplication.la \ + @LIBMATH@ + +check_PROGRAMS = testFloatSqrt testDoubleSqrt + +TESTS = testFloatSqrt testDoubleSqrt + +# +# -*- Square Root Tests -*- +# +testFloatSqrt_SOURCES = testSqrt.h testFloatSqrt.c +testFloatSqrt_CFLAGS = $(check_INCLUDES) +testFloatSqrt_LDADD = $(check_LDADD) + +testDoubleSqrt_SOURCES = testSqrt.h testDoubleSqrt.c +testDoubleSqrt_CFLAGS = $(check_INCLUDES) +testDoubleSqrt_LDADD = $(check_LDADD) diff --git a/2.3-1/src/c/elementaryFunctions/sqrt/Makefile.in b/2.3-1/src/c/elementaryFunctions/sqrt/Makefile.in new file mode 100644 index 00000000..574f1e0a --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/sqrt/Makefile.in @@ -0,0 +1,800 @@ +# Makefile.in generated by automake 1.11.1 from Makefile.am. +# @configure_input@ + +# Copyright (C) 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002, +# 2003, 2004, 2005, 2006, 2007, 2008, 2009 Free Software Foundation, +# Inc. +# This Makefile.in is free software; the Free Software Foundation +# gives unlimited permission to copy and/or distribute it, +# with or without modifications, as long as this notice is preserved. + +# This program is distributed in the hope that it will be useful, +# but WITHOUT ANY WARRANTY, to the extent permitted by law; without +# even the implied warranty of MERCHANTABILITY or FITNESS FOR A +# PARTICULAR PURPOSE. + +@SET_MAKE@ + +VPATH = @srcdir@ +pkgdatadir = $(datadir)/@PACKAGE@ +pkgincludedir = $(includedir)/@PACKAGE@ +pkglibdir = $(libdir)/@PACKAGE@ +pkglibexecdir = $(libexecdir)/@PACKAGE@ +am__cd = CDPATH="$${ZSH_VERSION+.}$(PATH_SEPARATOR)" && cd +install_sh_DATA = $(install_sh) -c -m 644 +install_sh_PROGRAM = $(install_sh) -c +install_sh_SCRIPT = $(install_sh) -c +INSTALL_HEADER = $(INSTALL_DATA) +transform = $(program_transform_name) +NORMAL_INSTALL = : +PRE_INSTALL = : +POST_INSTALL = : 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This file is part of Scilab + * Copyright (C) 2007-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "sqrt.h" + +void csqrta(floatComplex* in, int size, floatComplex* out) { + int i = 0; + for (i = 0 ; i < size ; ++i) { + out[i] = csqrts(in[i]); + } +} diff --git a/2.3-1/src/c/elementaryFunctions/sqrt/csqrts.c b/2.3-1/src/c/elementaryFunctions/sqrt/csqrts.c new file mode 100644 index 00000000..a24f9558 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/sqrt/csqrts.c @@ -0,0 +1,111 @@ +/*
+ * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
+ * Copyright (C) 2008-2008 - INRIA - Bruno JOFRET
+ * Copyright (C) Bruno Pincon
+ *
+ * This file must be used under the terms of the CeCILL.
+ * This source file is licensed as described in the file COPYING, which
+ * you should have received as part of this distribution. The terms
+ * are also available at
+ * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt
+ *
+ */
+
+#include <math.h>
+#include "sqrt.h"
+#include "lapack.h"
+#include "abs.h"
+#include "sign.h"
+#include "pythag.h"
+
+#ifdef _MSC_VER
+#include <float.h>
+#define isnan(x) _isnan((double)x)
+#endif
+
+#define _sign(a, b) b >=0 ? a : -a
+
+floatComplex csqrts(floatComplex in) {
+ float RMax = (float) getOverflowThreshold();
+ float BRMin = 2.0f * (float) getUnderflowThreshold();
+
+ float RealIn = creals(in);
+ float ImgIn = cimags(in);
+
+ float RealOut = 0;
+ float ImgOut = 0;
+
+ if(RealIn == 0)
+ {/* pure imaginary case */
+ if(dabss(ImgIn >= BRMin))
+ RealOut = ssqrts(0.5f * sabss(ImgIn));
+ else
+ RealOut = ssqrts(sabss(ImgIn)) * ssqrts(0.5);
+
+ ImgOut = _sign(1, ImgIn) * RealOut;
+ }
+ else if( sabss(RealIn) <= RMax && sabss(ImgIn) <= RMax)
+ {/* standard case : a (not zero) and b are finite */
+ float Temp = ssqrts(2.0f * (sabss(RealIn) + spythags(RealIn, ImgIn)));
+ /* overflow test */
+ if(Temp > RMax)
+ {/* handle (spurious) overflow by scaling a and b */
+ float RealTemp = RealIn / 16.0f;
+ float ImgTemp = ImgIn / 16.0f;
+ Temp = ssqrts(2.0f * (sabss(RealIn) + spythags(RealIn, ImgTemp)));
+ if(RealTemp >= 0)
+ {
+ RealOut = 2 * Temp;
+ ImgOut = 4 * ImgTemp / Temp;
+ }
+ else
+ {
+ RealOut = 4 * sabss(ImgIn) / Temp;
+ ImgOut = _sign(2, ImgIn) * Temp;
+ }
+ }
+ else if(RealIn >= 0) /* classic switch to get the stable formulas */
+ {
+ RealOut = 0.5f * Temp;
+ ImgOut = ImgIn / Temp;
+ }
+ else
+ {
+ RealOut = sabss(ImgIn) / Temp;
+ ImgOut = (_sign(0.5f, ImgIn)) * Temp;
+ }
+ }
+ else
+ {
+ /*
+ //Here we treat the special cases where a and b are +- 00 or NaN.
+ //The following is the treatment recommended by the C99 standard
+ //with the simplification of returning NaN + i NaN if the
+ //the real part or the imaginary part is NaN (C99 recommends
+ //something more complicated)
+ */
+
+ if(isnan(RealIn) == 1 || isnan(ImgIn) == 1)
+ {/* got NaN + i NaN */
+ RealOut = RealIn + ImgIn;
+ ImgOut = RealOut;
+ }
+ else if( dabss(ImgIn) > RMax)
+ {/* case a +- i oo -> result must be +oo +- i oo for all a (finite or not) */
+ RealOut = sabss(ImgIn);
+ ImgOut = ImgIn;
+ }
+ else if(RealIn < -RMax)
+ {/* here a is -Inf and b is finite */
+ RealOut = 0;
+ ImgOut = _sign(1, ImgIn) * sabss(RealIn);
+ }
+ else
+ {/* here a is +Inf and b is finite */
+ RealOut = RealIn;
+ ImgOut = 0;
+ }
+ }
+
+ return FloatComplex(RealOut, ImgOut);
+}
diff --git a/2.3-1/src/c/elementaryFunctions/sqrt/dsqrta.c b/2.3-1/src/c/elementaryFunctions/sqrt/dsqrta.c new file mode 100644 index 00000000..a948f35b --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/sqrt/dsqrta.c @@ -0,0 +1,20 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2007-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "sqrt.h" + +void dsqrta(double* in, int size, double* out) { + int i = 0; + for (i = 0 ; i < size ; ++i) { + out[i] = dsqrts(in[i]); + } +} diff --git a/2.3-1/src/c/elementaryFunctions/sqrt/dsqrts.c b/2.3-1/src/c/elementaryFunctions/sqrt/dsqrts.c new file mode 100644 index 00000000..350cbbd0 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/sqrt/dsqrts.c @@ -0,0 +1,18 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2007-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include <math.h> +#include "sqrt.h" + +double dsqrts(double in){ + return sqrt(in); +} diff --git a/2.3-1/src/c/elementaryFunctions/sqrt/ssqrta.c b/2.3-1/src/c/elementaryFunctions/sqrt/ssqrta.c new file mode 100644 index 00000000..9c379751 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/sqrt/ssqrta.c @@ -0,0 +1,20 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2007-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "sqrt.h" + +void ssqrta(float* in, int size, float* out) { + int i = 0; + for (i = 0 ; i < size ; ++i) { + out[i] = ssqrts(in[i]); + } +} diff --git a/2.3-1/src/c/elementaryFunctions/sqrt/ssqrts.c b/2.3-1/src/c/elementaryFunctions/sqrt/ssqrts.c new file mode 100644 index 00000000..541fea2f --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/sqrt/ssqrts.c @@ -0,0 +1,18 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include <math.h> +#include "sqrt.h" + +float ssqrts(float in) { + return (float) sqrt((float) in); +} diff --git a/2.3-1/src/c/elementaryFunctions/sqrt/testDoubleSqrt.c b/2.3-1/src/c/elementaryFunctions/sqrt/testDoubleSqrt.c new file mode 100644 index 00000000..08b74137 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/sqrt/testDoubleSqrt.c @@ -0,0 +1,497 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008 - INRIA - Arnaud TORSET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "testSqrt.h" + +#define SOURCE {0.7062616096809506416321,0.4090520101599395275116,0.3011248558759689331055,\ +0.1880126395262777805328,0.1796709178015589714050,0.2828889950178563594818,\ +0.7232380937784910202026,0.7360379849560558795929,0.1852612206712365150452,\ +0.7703790138475596904755,0.1914967410266399383545,0.7521587223745882511139,\ +0.6205883463844656944275,0.2807604051195085048676,0.2289868686348199844360,\ +0.5049233403988182544708,0.8354099662974476814270,0.8174716415815055370331,\ +0.0030740275979042053223,0.3677616142667829990387,0.8278525872156023979187,\ +0.72754097869619727135,0.5323124285787343978882,0.9267726917751133441925,\ +0.9542504185810685157776,0.3162104780785739421845,0.5789009965956211090088,\ +0.6881225542165338993073,0.3714061146602034568787,0.1705444059334695339203,\ +0.1954363007098436355591,0.978800852317363023758,0.9300233917310833930969,\ +0.5357720064930617809296,0.3947123587131500244141,0.1344871171750128269196,\ +0.7380615202710032463074,0.588114650454372167587,0.9113173168152570724487,\ +0.5682763461954891681671,0.1127616921439766883850,0.9478473584167659282684,\ +0.5237770043313503265381,0.8140139640308916568756,0.1400952627882361412048,\ +0.2763446993194520473480,0.9059953633695840835571,0.1379901585169136524200,\ +0.5603838684037327766419,0.3008610638789832592011,0.4767417535185813904,\ +0.8127435916103422641754,0.1988414181396365165710,0.1107953130267560482025,\ +0.2159351315349340438843,0.6467244853265583515167,0.6597879612818360328674,\ +0.0691898013465106487274,0.9164751060307025909424,0.8635670826770365238190,\ +0.5032854294404387474060,0.1832137755118310451508,0.8403698671609163284302,\ +0.9247214836068451404572,0.6229452537372708320618,0.2773811477236449718475,\ +0.2479109913110733032227,0.3891948559321463108063,0.0436578569933772087097,\ +0.8132526441477239131928,0.7686451207846403121948,0.4041520212776958942413,\ +0.8579940209165215492249,0.6993723283521831035614,0.0828925184905529022217,\ +0.9201254160143435001373,0.5200281282886862754822,0.9351884997449815273285,\ +0.8825624976307153701782,0.2245844271965324878693,0.2153332801535725593567,\ +0.4327089670114219188690,0.5800157263875007629395,0.8876141034997999668121,\ +0.5258982880041003227234,0.859640696551650762558,0.7337234076112508773804,\ +0.7134532411582767963409,0.1087165409699082374573,0.8477638359181582927704,\ +0.6594733335077762603760,0.7916418449021875858307,0.6067967480048537254334,\ +0.4102901122532784938812,0.1958728153258562088013,0.241527963895350694656,\ +0.5113455550745129585266,0.9119556057266891002655,0.0928984880447387695313,\ +0.7438839026726782321930,0.1938720373436808586121,0.4355978979729115962982,\ +0.9922429900616407394409,0.4533818070776760578156,0.8269640663638710975647,\ +0.8889675955288112163544,0.4682085178792476654053,0.3856786251999437808991,\ +0.4124865522608160972595,0.6955242282710969448090,0.0978972557932138442993,\ +0.8728604433126747608185,0.6359515609219670295715,0.4129665228538215160370,\ +0.0294486805796623229980,0.1809961968101561069489,0.7658103061839938163757,\ +0.1232470511458814144135,0.0170737411826848983765,0.8835507561452686786652,\ +0.3164170170202851295471,0.9378212536685168743134,0.3916359134018421173096,\ +0.0844073877669870853424,0.6934146797284483909607,0.4618808380328118801117,\ +0.9355291295796632766724,0.0842495900578796863556,0.5402926551178097724915,\ +0.5613215523771941661835,0.1306025832891464233398,0.5840523042716085910797,\ +0.0048661706969141960144,0.2761953338049352169037,0.7478824090212583541870,\ +0.0194325004704296588898,0.6444276878610253334045,0.2243968318216502666473,\ +0.2478402368724346160889,0.1196091384626924991608,0.1883201440796256065369,\ +0.3393343067727982997894,0.959958622232079505920,0.2847225037403404712677,\ +0.8766820700839161872864,0.2853349032811820507050,0.5103433504700660705566,\ +0.8752629184164106845856,0.5941145820543169975281,0.3945342986844480037689,\ +0.4661326166242361068726,0.0073588271625339984894,0.5170202488079667091370,\ +0.4690007264725863933563,0.6654530800879001617432,0.9476742581464350223541,\ +0.4933638339862227439880,0.2918433747254312038422,0.2016727942973375320435,\ +0.7016656589694321155548,0.8736049132421612739563,0.191055159550160169601,\ +0.5307010114192962646484,0.8889481076039373874664,0.0115523664280772209167,\ +0.4998398735187947750092,0.6700848620384931564331,0.4995208983309566974640,\ +0.1538907447829842567444,0.2571737091057002544403,0.9586529098451137542725,\ +0.6246025026775896549225,0.9371285131201148033142,0.9923511571250855922699,\ +0.3454555813223123550415,0.7558249053545296192169,0.2107181670144200325012,\ +0.9372652801685035228729,0.6767524704337120056152,0.7465373151935636997223,\ +0.4050982249900698661804,0.5101723610423505306244,0.9497965183109045028687,\ +0.0289692510850727558136,0.1634070957079529762268,0.4146909262053668498993,\ +0.0021650679409503936768,0.1810030029155313968658,0.4556188201531767845154,\ +0.1977851442061364650726,0.6053877938538789749146,0.4363054675050079822540,\ +0.8938506888225674629211,0.6104825991205871105194,0.4316215068101882934570,\ +0.2315693595446646213532,0.4675927339121699333191,0.6150764389894902706146,\ +0.8621218334883451461792,0.3846137975342571735382} + +#define RESULT {0.8403937230137732417035,0.6395717396507912821946,0.5487484449872901404177,\ +0.4336042429754092819572,0.4238760641998542411102,0.5318731004834296172135,\ +0.8504340619815806689985,0.8579265615168094605281,0.4304198190967006287799,\ +0.8777123753528599525708,0.4376034060957934568314,0.8672708471836166888025,\ +0.7877742991393319460514,0.5298682903510159025728,0.4785257241098120895018,\ +0.7105795806233234923610,0.9140076401745489409478,0.9041413836239913237591,\ +0.0554439139843518405404,0.6064335200718896645711,0.9098640487543193655640,\ +0.8529601272604701023283,0.7295974428263399813588,0.9626903405431641580492,\ +0.9768574197809363202083,0.5623259535879292503324,0.7608554373832265849131,\ +0.8295315269575556094139,0.6094309761246169410143,0.4129702240276767466476,\ +0.4420817805676271472493,0.9893436472315183527471,0.9643772040706288795064,\ +0.7319644844478875311822,0.6282613777029032453569,0.3667248521371476721598,\ +0.8591050694012946076228,0.7668863347683098075081,0.9546294133407251525370,\ +0.7538410616273759634609,0.3358000776414095667199,0.9735745263803721183393,\ +0.7237243980489743711004,0.9022272241685526106281,0.3742930172849022740778,\ +0.5256849810670379818944,0.9518378871265757990017,0.3714702659930047001780,\ +0.7485879162822044463610,0.5485080344707662369785,0.6904648821761910637562,\ +0.9015229290541324491670,0.4459163802100529760963,0.3328592991441819970433,\ +0.4646882089476060961886,0.8041918212258555298533,0.8122733291705668268179,\ +0.2630395433133783655855,0.9573270632499127907877,0.9292831014696417701870,\ +0.709426126838051174239,0.4280347830630485406189,0.9167168958631211062027,\ +0.9616243984045148573969,0.7892688095555726590646,0.5266698659726460896025,\ +0.4979066090253003729060,0.6238548356245596782088,0.2089446266200143398351,\ +0.9018052140832431007311,0.8767240847522328461849,0.6357295189604584839671,\ +0.9262796666863207795117,0.8362848368541564436640,0.2879106085064475628599,\ +0.9592316800514584240744,0.7211297582881227574703,0.9670514462762472840396,\ +0.9394479749463060525017,0.4739033943711866703197,0.4640401708403837921502,\ +0.6578061773892229791017,0.7615876353956259059430,0.9421327419741869491077,\ +0.7251884499935863370723,0.9271681058749005055475,0.8565765626091171869305,\ +0.8446616134040167978014,0.3297219146036675652134,0.9207409168263124277232,\ +0.8120796349544644465723,0.8897425722658142133170,0.7789715964044220397611,\ +0.6405389232929397103078,0.4425752086661161044390,0.4914549459465747394127,\ +0.7150842992784227636349,0.9549636672285962690765,0.3047925327903207581848,\ +0.8624870449303445596456,0.4403090248265198458633,0.6599984075533149585624,\ +0.9961139443164325202318,0.6733363253810654702747,0.9093756464541323802919,\ +0.9428507811572365282515,0.6842576399860272884368,0.6210302933029465677350,\ +0.6422511597971747310254,0.8339809519833752959883,0.3128853716510470728274,\ +0.9342700055726260721656,0.7974657114396624946195,0.6426247138523553115164,\ +0.1716061787339323019275,0.4254364779966053888849,0.8751058828416100610070,\ +0.351065593793925379007,0.1306665266343484677059,0.939973806095291464224,\ +0.5625095706032787745698,0.9684117170235585492222,0.6258082081611283653544,\ +0.2905294955197958439719,0.8327152452840337337747,0.6796181560500071938691,\ +0.967227547984270019654,0.2902577993058579330921,0.7350460224488054583603,\ +0.7492139563417076209,0.3613897941131520297198,0.7642331478492728757956,\ +0.0697579436115643852778,0.5255428943530063845557,0.8648019478593109710118,\ +0.1394005038385071892915,0.8027625351628122629677,0.4737054272664081300270,\ +0.4978355520374520559734,0.3458455413370143394225,0.4339586893698818559351,\ +0.5825240825689512735863,0.9797747813819661644175,0.5335939502471336304268,\ +0.9363130192857067601864,0.5341674861700046461621,0.7143831958200487219912,\ +0.9355548719430681892106,0.7707882861423861475814,0.628119653158892954359,\ +0.6827390545620164452600,0.0857836066071717417980,0.7190412010503756112811,\ +0.6848362771294949080669,0.8157530754388242488773,0.9734856229788064752029,\ +0.7023986289751872336140,0.5402252999679219014340,0.4490799419895499244859,\ +0.8376548567097501507561,0.9346683439820572258938,0.4370985696043401258493,\ +0.7284922864514739027086,0.9428404465252524513375,0.1074819353569576446672,\ +0.7069935455991057660086,0.8185871132863582477768,0.7067679239545019420632,\ +0.3922891086723976905581,0.5071229723703120084721,0.9791082217227642381374,\ +0.7903179756766194330453,0.9680539825444213208883,0.9961682373600784234924,\ +0.5877546948534841941836,0.8693819099535771144360,0.4590404851583572698459,\ +0.9681246201644205795489,0.8226496644585178374953,0.8640239089247262471716,\ +0.6364732712298842853826,0.7142635095273666134830,0.9745750449867390807768,\ +0.1702035577920530950991,0.4042364354037782381290,0.643965003866954543987,\ +0.0465302905745321321307,0.4254444768892075012801,0.6749954223201641845265,\ +0.444730417450995230144,0.7780667027022033499506,0.6605342288670648098758,\ +0.9454367714567524227931,0.7813338589364902109224,0.6569790763869031158251,\ +0.4812165412209607473493,0.6838075269490457852584,0.7842680912733159814820,\ +0.9285051607225159875370,0.6201723933990106463199} + +#define ZSOURCER {0.6045256052166223526001,0.9455216196365654468536,0.4476299257948994636536,\ +0.8624908211641013622284,0.1751048639416694641113,0.2067177616991102695465,\ +0.6848411662504076957703,0.1348653226159512996674,0.0069159921258687973022,\ +0.1496290047653019428253,0.5665438110008835792542,0.4359452719800174236298,\ +0.6547604538500308990479,0.3381605879403650760651,0.4259321158751845359802,\ +0.3060420057736337184906,0.7704779822379350662231,0.7058695447631180286408,\ +0.2373670237138867378235,0.8205849635414779186249,0.6789963841438293457031,\ +0.5250809141434729099274,0.3359806565567851066589,0.8941988362930715084076,\ 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+1.0186506185399304413863,0.6220542372412505294221,0.9288207542994831866778,\ +0.7707938959111726440199,0.63603233719709606486,0.6441295538205468185211,\ +0.7370617546735380720691,1.0024537010421461502574,1.0505138587196660715506,\ +0.953608813532313304151,0.7187463572209089601728,0.7428380749761755996730,\ +0.9266208094400342210051,0.8841784551932333480195,0.9840672842877067338918,\ +0.9382321956452510658409,0.8393030146072417707615,0.8503757458476615127552,\ +0.7145712412765103938028,0.5826505086380492359766,0.9155742917376128442442,\ +0.8739880489156448550858,0.8470155698847267045082,0.9650636753683585755681,\ +0.7314820521682621201620,0.8914470068047345430173,0.8031939281911506522960,\ +0.5070351579739499348065,0.7331953647718203459505,0.9609459795569127438242,\ +0.847153172323739211969,0.7661900708888577105071,0.9519994233321562582262,\ +0.5940854373891888418058,0.8888500969738630796968,0.6766367900740852814323,\ +0.8139959478095014633325,0.9760840415848224260742,1.0729430743093604228022,\ +0.8617604247210989276695,0.6907515785500089045002,1.0470820008330794514961,\ +0.7605256422767727730872,0.8272295000550387022997,0.6269868176753693456149,\ +0.9734363297756469801669,0.2617213661737881613689,0.6805441931353264362059,\ +0.709837674958288866733,0.8069322418000910435154,0.6852606023040614946496,\ +0.6540897892889659948068,0.7186585042731442607433,0.6343284289266235553839,\ +0.6825711485307393022737,0.610883282746898181870,0.7163489185444231743816,\ +0.9770189769897136278232,0.5867956626396594321804,1.0750765659376522176416,\ +0.6384005820717564283484,0.3858687639762184984349,0.3186007968636310749844,\ +0.7397471191545493818254,0.7055161810773808994668,0.5968318319385850223569,\ +0.5659466952073320955563,1.0001490762521170196919,0.7645570771657418385203,\ +0.7377545989844320750706,0.9516433749813681952645,0.6866306949128065939547,\ +1.0618728756326238915619,0.5208322311777507929165,0.6253215357738258761700,\ +0.4548702015131091402900,0.6499645432009629741899,0.9907517258725765385563,\ +0.9119111641770327736367,0.7823013339720715775272,0.9622054437069111898495,\ +0.4500082630180006204590,0.5764937377448445809947,0.9818886833563331695274,\ +0.6678434466414240322507,1.0365982590716655842300,0.4743068831608843738401,\ +0.3802074434441635730764,0.8040992937118037753308,0.7973759350671048018455,\ +0.7498672536100723373664,0.7320754444197923316295,0.7445011903920762952325,\ +0.8914147503382092718738,0.6264212402370327170686,0.7540169824914779717062,\ +0.8776882812655947274649,0.9844634271419567816963,0.6638769890354155878143,\ +0.9458113966252766902088,0.5131381594621587938221,0.8518664381177757372043,\ +0.812738510298055549796,0.4535385196962208320670,0.9669683162928227604382,\ +1.040816644093084830658,0.4316950876741513232204,0.8660041994184899394327,\ +0.9321942634710010944232,0.6397933456564963705660} + +#define ZRESULTI {0.3263261982366231217512,0.3357016264078308553920,0.5625695149136477057894,\ +0.4083475049199193351868,0.2184722473340149073717,0.1963327431456096394680,\ +0.2524080275917597870894,0.5853888978723345015709,0.6614285891378552939557,\ +0.5503716236174250875379,0.4340417579628489397337,0.5691216233293430182272,\ +0.5152745668080026542057,0.0097333750513688352402,0.5491507438051371758903,\ +0.3063310306018693363050,0.1617182509817773616856,0.3162436265422815528936,\ +0.5147040404416135528365,0.0167233791158154128376,0.1662985694996903240917,\ +0.4205606470816827258119,0.4901820135407665146587,0.4294486162653968763792,\ +0.0728126817040040535955,0.4473105496989639440209,0.6637966234200971538115,\ +0.1811203866159907804878,0.2900944639504645650163,0.3839508177567231839156,\ +0.3488856874362309956617,0.0988580458466166156484,0.36794821735938526563,\ +0.3663418129703439607425,0.1414440314101028384197,0.4830310461641617592044,\ +0.1323559272370566086696,0.1075347714236491863948,0.1691821287725076283781,\ +0.2810338004872128814249,0.5768683871779194394236,0.4480389811753019424501,\ +0.5764461773381487352808,0.0760084144919923321293,0.5032733679892044120763,\ +0.2741647566958217985267,0.0089035245651246392590,0.3994776154055512673580,\ +0.1897607024294587774183,0.1206637982137782894032,0.5412770094909528095784,\ +0.2404690476392074838241,0.2181535914362372208242,0.5377337924125580315149,\ +0.2155582732432577419690,0.3687913267931641758679,0.1778256377212544814270,\ +0.4920751198642726587096,0.3546066849097115891709,0.1330846352869425042176,\ +0.4091125411822805202355,0.2612879326286920989020,0.5393616451432939884469,\ +0.5878226164089255245671,0.3213486447830481429477,0.5467089832022555828672,\ +0.3224195659455129092663,0.1825954124653428600755,0.3990552600779624370375,\ +0.2206681056892876025000,0.1667943253834255346035,0.4661703075143642238665,\ +0.1557268144037805002178,0.5095982399018667008406,0.2528705265313027639174,\ +0.6797078130539779827757,0.3056564645363825660773,0.0347369736586594715644,\ +0.3916242993690946527785,0.4912984601114738780758,0.1009080702371304705256,\ +0.5247714720741629701450,0.4792854332576366727,0.1144484422667324668987,\ +0.4288220783749939757357,0.0569809815370433195292,0.36777102554791152311,\ +0.4171776516254488420543,0.3878789385171945158781,0.3986227007920866149959,\ +0.4484209706404114204048,0.5077720388168175391641,0.5031527077021280547342,\ +0.5940468527088033079409,0.0401196609964555792049,0.3361101426509159328937,\ +0.6594999296529031607150,0.3990961397296745039043,0.4022917642620268408038,\ +0.0320112843801534235899,0.5682183459163515637513,0.1414347799783703119037,\ +0.1648707746240843652341,0.5352546490793753664050,0.470990570471244762718,\ +0.4123594778064457178068,0.3511234154134331153507,0.1398027400878979753518,\ +0.3687207284066310042370,0.0066543882936226537647,0.4539069906010949617681,\ +0.0153616286808277956177,0.1529597971009351853322,0.2404648554390081682808,\ +0.4168838721023755411466,0.0368475258068726510552,0.4025685317176705413367,\ +0.1004402255189763004672,0.1870378561196294198155,0.4247235900050622126045,\ +0.1981784628926891167478,0.3110123830424602608957,0.4432796815388754252396,\ +0.1502372000465193591090,0.3293933175156303350128,0.6226562035634579661547,\ +0.4335923272125510874453,0.3788924267318253269465,0.4544252728163645227433,\ +0.4413447883722416142938,0.5962122022024949341557,0.4244949294494160807467,\ +0.5233339844701030418861,0.1844970592543655196760,0.5425403272492764772395,\ +0.3293523059298621991076,0.1887977324286261304742,0.3419695936679567616068,\ +0.4729933970782203567218,0.3179389135603382654516,0.6298017886863316316948,\ +0.6366327153805051430879,0.1174393569255921254690,0.2334182851178558948391,\ +0.1898326398721546515169,0.1392118774041107009953,0.6783676670817878617825,\ +0.0355768720222523482377,0.4001589607861217867679,0.4438842647772449079291,\ +0.2881695442233370707541,0.3853535740764292283345,0.0651773014834273051177,\ +0.330676282333628224208,0.3665111238554681349910,0.2961355479495680342872,\ +0.2080043831343482141350,0.3389124718789456314205,0.2507682074527933790975,\ +0.2151359545279972751430,0.1795904033249649811577,0.0389989482113152971521,\ +0.4372272948094740319114,0.3708152364207700224519,0.3460997943417740696503,\ +0.1738040295127169787559,0.6067346706520863053314,0.3759164722454063634061,\ +0.2843476954448227456140,0.5529633038042787163136,0.0792158430677229186134,\ +0.2658590818355930918138,0.4997084504683915184842,0.3766089999954101985580,\ +0.0436608774416314404654,0.3358357438535300443228,0.4433991668140928599229,\ +0.0369743604678396259322,0.5169293158173903224295,0.1463149302341813229322,\ +0.5911631132684145306655,0.2559015919459735610708,0.5887924030165481159571,\ +0.2258812650827625445604,0.2307020058304501131108,0.5661961730855942231955,\ +0.3133100513489369687292,0.2604774274143707435414,0.4760737048049700770314,\ +0.2202097738273190163927,0.3135385365979036498274,0.5703576069745146526202,\ +0.3290309478154280209417,0.3766593161719967164380,0.4946018916047810187742,\ +0.4780382426469301782035,0.3964469578199069088598,0.4544192798538850830425,\ +0.4952896438554572622337,0.4094267669310915347403} + + + + +void dsqrtsTest(void) { + double in[]=SOURCE; + double res[]=RESULT; + double out; + int i; + + for (i=0;i<200;i++){ + out=dsqrts(in[i]); + assert(( (fabs(out-res[i]))/(fabs(out)) )<3e-16); + } +} + +void zsqrtsTest(void) { + double inR[]=ZSOURCER; + double inI[]=ZSOURCEI; + double resR[]=ZRESULTR; + double resI[]=ZRESULTI; + doubleComplex in,out; + int i; + + for (i=0;i<200;i++){ + in=DoubleComplex(inR[i],inI[i]); + out=zsqrts(in); + assert(( (fabs(zreals(out)-resR[i]))/(fabs(zreals(out))) )<3e-16); + assert(( (fabs(zimags(out)-resI[i]))/(fabs(zimags(out))) )<3e-16); + } +} + +void dsqrtaTest(void) { + double in[]=SOURCE; + double res[]=RESULT; + double out[200]; + int i; + + dsqrta(in,200,out); + for (i=0;i<200;i++){ + assert(( (fabs(out[i]-res[i]))/(fabs(out[i])) )<1e-16); + } +} + +void zsqrtaTest(void) { + double inR[]=ZSOURCER; + double inI[]=ZSOURCEI; + double resR[]=ZRESULTR; + double resI[]=ZRESULTI; + doubleComplex *in,out[200]; + int i; + + + in=DoubleComplexMatrix(inR,inI,200); + zsqrta(in,200,out); + + for (i=0;i<200;i++){ + assert(( (fabs(zreals(out[i])-resR[i]))/(fabs(zreals(out[i]))) )<3e-16); + assert(( (fabs(zimags(out[i])-resI[i]))/(fabs(zimags(out[i]))) )<3e-16); + } +} + + +int testSqrt() { + printf("\n>>>> Double Square Root Tests\n"); + dsqrtsTest(); + zsqrtsTest(); + dsqrtaTest(); + zsqrtaTest(); + + return 0; +} + +int main() { + assert(testSqrt() == 0); + return 0; +} diff --git a/2.3-1/src/c/elementaryFunctions/sqrt/testFloatSqrt.c b/2.3-1/src/c/elementaryFunctions/sqrt/testFloatSqrt.c new file mode 100644 index 00000000..e4c72cb0 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/sqrt/testFloatSqrt.c @@ -0,0 +1,496 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008 - INRIA - Arnaud TORSET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "testSqrt.h" + +#define SOURCE {0.7062616096809506416321f,0.4090520101599395275116f,0.3011248558759689331055f,\ +0.1880126395262777805328f,0.1796709178015589714050f,0.2828889950178563594818f,\ +0.7232380937784910202026f,0.7360379849560558795929f,0.1852612206712365150452f,\ +0.7703790138475596904755f,0.1914967410266399383545f,0.7521587223745882511139f,\ +0.6205883463844656944275f,0.2807604051195085048676f,0.2289868686348199844360f,\ +0.5049233403988182544708f,0.8354099662974476814270f,0.8174716415815055370331f,\ +0.0030740275979042053223f,0.3677616142667829990387f,0.8278525872156023979187f,\ +0.72754097869619727135f,0.5323124285787343978882f,0.9267726917751133441925f,\ +0.9542504185810685157776f,0.3162104780785739421845f,0.5789009965956211090088f,\ +0.6881225542165338993073f,0.3714061146602034568787f,0.1705444059334695339203f,\ +0.1954363007098436355591f,0.978800852317363023758f,0.9300233917310833930969f,\ +0.5357720064930617809296f,0.3947123587131500244141f,0.1344871171750128269196f,\ +0.7380615202710032463074f,0.588114650454372167587f,0.9113173168152570724487f,\ +0.5682763461954891681671f,0.1127616921439766883850f,0.9478473584167659282684f,\ +0.5237770043313503265381f,0.8140139640308916568756f,0.1400952627882361412048f,\ +0.2763446993194520473480f,0.9059953633695840835571f,0.1379901585169136524200f,\ +0.5603838684037327766419f,0.3008610638789832592011f,0.4767417535185813904f,\ +0.8127435916103422641754f,0.1988414181396365165710f,0.1107953130267560482025f,\ +0.2159351315349340438843f,0.6467244853265583515167f,0.6597879612818360328674f,\ +0.0691898013465106487274f,0.9164751060307025909424f,0.8635670826770365238190f,\ +0.5032854294404387474060f,0.1832137755118310451508f,0.8403698671609163284302f,\ +0.9247214836068451404572f,0.6229452537372708320618f,0.2773811477236449718475f,\ +0.2479109913110733032227f,0.3891948559321463108063f,0.0436578569933772087097f,\ +0.8132526441477239131928f,0.7686451207846403121948f,0.4041520212776958942413f,\ +0.8579940209165215492249f,0.6993723283521831035614f,0.0828925184905529022217f,\ +0.9201254160143435001373f,0.5200281282886862754822f,0.9351884997449815273285f,\ +0.8825624976307153701782f,0.2245844271965324878693f,0.2153332801535725593567f,\ +0.4327089670114219188690f,0.5800157263875007629395f,0.8876141034997999668121f,\ +0.5258982880041003227234f,0.859640696551650762558f,0.7337234076112508773804f,\ +0.7134532411582767963409f,0.1087165409699082374573f,0.8477638359181582927704f,\ +0.6594733335077762603760f,0.7916418449021875858307f,0.6067967480048537254334f,\ +0.4102901122532784938812f,0.1958728153258562088013f,0.241527963895350694656f,\ +0.5113455550745129585266f,0.9119556057266891002655f,0.0928984880447387695313f,\ +0.7438839026726782321930f,0.1938720373436808586121f,0.4355978979729115962982f,\ +0.9922429900616407394409f,0.4533818070776760578156f,0.8269640663638710975647f,\ +0.8889675955288112163544f,0.4682085178792476654053f,0.3856786251999437808991f,\ +0.4124865522608160972595f,0.6955242282710969448090f,0.0978972557932138442993f,\ +0.8728604433126747608185f,0.6359515609219670295715f,0.4129665228538215160370f,\ +0.0294486805796623229980f,0.1809961968101561069489f,0.7658103061839938163757f,\ +0.1232470511458814144135f,0.0170737411826848983765f,0.8835507561452686786652f,\ +0.3164170170202851295471f,0.9378212536685168743134f,0.3916359134018421173096f,\ +0.0844073877669870853424f,0.6934146797284483909607f,0.4618808380328118801117f,\ +0.9355291295796632766724f,0.0842495900578796863556f,0.5402926551178097724915f,\ +0.5613215523771941661835f,0.1306025832891464233398f,0.5840523042716085910797f,\ +0.0048661706969141960144f,0.2761953338049352169037f,0.7478824090212583541870f,\ +0.0194325004704296588898f,0.6444276878610253334045f,0.2243968318216502666473f,\ +0.2478402368724346160889f,0.1196091384626924991608f,0.1883201440796256065369f,\ +0.3393343067727982997894f,0.959958622232079505920f,0.2847225037403404712677f,\ +0.8766820700839161872864f,0.2853349032811820507050f,0.5103433504700660705566f,\ +0.8752629184164106845856f,0.5941145820543169975281f,0.3945342986844480037689f,\ +0.4661326166242361068726f,0.0073588271625339984894f,0.5170202488079667091370f,\ +0.4690007264725863933563f,0.6654530800879001617432f,0.9476742581464350223541f,\ +0.4933638339862227439880f,0.2918433747254312038422f,0.2016727942973375320435f,\ +0.7016656589694321155548f,0.8736049132421612739563f,0.191055159550160169601f,\ +0.5307010114192962646484f,0.8889481076039373874664f,0.0115523664280772209167f,\ +0.4998398735187947750092f,0.6700848620384931564331f,0.4995208983309566974640f,\ +0.1538907447829842567444f,0.2571737091057002544403f,0.9586529098451137542725f,\ +0.6246025026775896549225f,0.9371285131201148033142f,0.9923511571250855922699f,\ +0.3454555813223123550415f,0.7558249053545296192169f,0.2107181670144200325012f,\ +0.9372652801685035228729f,0.6767524704337120056152f,0.7465373151935636997223f,\ +0.4050982249900698661804f,0.5101723610423505306244f,0.9497965183109045028687f,\ +0.0289692510850727558136f,0.1634070957079529762268f,0.4146909262053668498993f,\ +0.0021650679409503936768f,0.1810030029155313968658f,0.4556188201531767845154f,\ +0.1977851442061364650726f,0.6053877938538789749146f,0.4363054675050079822540f,\ +0.8938506888225674629211f,0.6104825991205871105194f,0.4316215068101882934570f,\ +0.2315693595446646213532f,0.4675927339121699333191f,0.6150764389894902706146f,\ +0.8621218334883451461792f,0.3846137975342571735382f} + +#define RESULT {0.8403937230137732417035f,0.6395717396507912821946f,0.5487484449872901404177f,\ +0.4336042429754092819572f,0.4238760641998542411102f,0.5318731004834296172135f,\ +0.8504340619815806689985f,0.8579265615168094605281f,0.4304198190967006287799f,\ +0.8777123753528599525708f,0.4376034060957934568314f,0.8672708471836166888025f,\ +0.7877742991393319460514f,0.5298682903510159025728f,0.4785257241098120895018f,\ +0.7105795806233234923610f,0.9140076401745489409478f,0.9041413836239913237591f,\ +0.0554439139843518405404f,0.6064335200718896645711f,0.9098640487543193655640f,\ +0.8529601272604701023283f,0.7295974428263399813588f,0.9626903405431641580492f,\ +0.9768574197809363202083f,0.5623259535879292503324f,0.7608554373832265849131f,\ +0.8295315269575556094139f,0.6094309761246169410143f,0.4129702240276767466476f,\ +0.4420817805676271472493f,0.9893436472315183527471f,0.9643772040706288795064f,\ +0.7319644844478875311822f,0.6282613777029032453569f,0.3667248521371476721598f,\ +0.8591050694012946076228f,0.7668863347683098075081f,0.9546294133407251525370f,\ +0.7538410616273759634609f,0.3358000776414095667199f,0.9735745263803721183393f,\ +0.7237243980489743711004f,0.9022272241685526106281f,0.3742930172849022740778f,\ +0.5256849810670379818944f,0.9518378871265757990017f,0.3714702659930047001780f,\ +0.7485879162822044463610f,0.5485080344707662369785f,0.6904648821761910637562f,\ +0.9015229290541324491670f,0.4459163802100529760963f,0.3328592991441819970433f,\ +0.4646882089476060961886f,0.8041918212258555298533f,0.8122733291705668268179f,\ +0.2630395433133783655855f,0.9573270632499127907877f,0.9292831014696417701870f,\ +0.709426126838051174239f,0.4280347830630485406189f,0.9167168958631211062027f,\ +0.9616243984045148573969f,0.7892688095555726590646f,0.5266698659726460896025f,\ +0.4979066090253003729060f,0.6238548356245596782088f,0.2089446266200143398351f,\ +0.9018052140832431007311f,0.8767240847522328461849f,0.6357295189604584839671f,\ +0.9262796666863207795117f,0.8362848368541564436640f,0.2879106085064475628599f,\ +0.9592316800514584240744f,0.7211297582881227574703f,0.9670514462762472840396f,\ +0.9394479749463060525017f,0.4739033943711866703197f,0.4640401708403837921502f,\ +0.6578061773892229791017f,0.7615876353956259059430f,0.9421327419741869491077f,\ +0.7251884499935863370723f,0.9271681058749005055475f,0.8565765626091171869305f,\ +0.8446616134040167978014f,0.3297219146036675652134f,0.9207409168263124277232f,\ +0.8120796349544644465723f,0.8897425722658142133170f,0.7789715964044220397611f,\ +0.6405389232929397103078f,0.4425752086661161044390f,0.4914549459465747394127f,\ +0.7150842992784227636349f,0.9549636672285962690765f,0.3047925327903207581848f,\ +0.8624870449303445596456f,0.4403090248265198458633f,0.6599984075533149585624f,\ +0.9961139443164325202318f,0.6733363253810654702747f,0.9093756464541323802919f,\ +0.9428507811572365282515f,0.6842576399860272884368f,0.6210302933029465677350f,\ +0.6422511597971747310254f,0.8339809519833752959883f,0.3128853716510470728274f,\ +0.9342700055726260721656f,0.7974657114396624946195f,0.6426247138523553115164f,\ +0.1716061787339323019275f,0.4254364779966053888849f,0.8751058828416100610070f,\ +0.351065593793925379007f,0.1306665266343484677059f,0.939973806095291464224f,\ +0.5625095706032787745698f,0.9684117170235585492222f,0.6258082081611283653544f,\ +0.2905294955197958439719f,0.8327152452840337337747f,0.6796181560500071938691f,\ +0.967227547984270019654f,0.2902577993058579330921f,0.7350460224488054583603f,\ +0.7492139563417076209f,0.3613897941131520297198f,0.7642331478492728757956f,\ +0.0697579436115643852778f,0.5255428943530063845557f,0.8648019478593109710118f,\ +0.1394005038385071892915f,0.8027625351628122629677f,0.4737054272664081300270f,\ +0.4978355520374520559734f,0.3458455413370143394225f,0.4339586893698818559351f,\ +0.5825240825689512735863f,0.9797747813819661644175f,0.5335939502471336304268f,\ +0.9363130192857067601864f,0.5341674861700046461621f,0.7143831958200487219912f,\ +0.9355548719430681892106f,0.7707882861423861475814f,0.628119653158892954359f,\ +0.6827390545620164452600f,0.0857836066071717417980f,0.7190412010503756112811f,\ +0.6848362771294949080669f,0.8157530754388242488773f,0.9734856229788064752029f,\ +0.7023986289751872336140f,0.5402252999679219014340f,0.4490799419895499244859f,\ +0.8376548567097501507561f,0.9346683439820572258938f,0.4370985696043401258493f,\ +0.7284922864514739027086f,0.9428404465252524513375f,0.1074819353569576446672f,\ +0.7069935455991057660086f,0.8185871132863582477768f,0.7067679239545019420632f,\ +0.3922891086723976905581f,0.5071229723703120084721f,0.9791082217227642381374f,\ +0.7903179756766194330453f,0.9680539825444213208883f,0.9961682373600784234924f,\ +0.5877546948534841941836f,0.8693819099535771144360f,0.4590404851583572698459f,\ +0.9681246201644205795489f,0.8226496644585178374953f,0.8640239089247262471716f,\ +0.6364732712298842853826f,0.7142635095273666134830f,0.9745750449867390807768f,\ +0.1702035577920530950991f,0.4042364354037782381290f,0.643965003866954543987f,\ +0.0465302905745321321307f,0.4254444768892075012801f,0.6749954223201641845265f,\ +0.444730417450995230144f,0.7780667027022033499506f,0.6605342288670648098758f,\ +0.9454367714567524227931f,0.7813338589364902109224f,0.6569790763869031158251f,\ +0.4812165412209607473493f,0.6838075269490457852584f,0.7842680912733159814820f,\ +0.9285051607225159875370f,0.6201723933990106463199f} + +#define CSOURCER {0.6045256052166223526001f,0.9455216196365654468536f,0.4476299257948994636536f,\ +0.8624908211641013622284f,0.1751048639416694641113f,0.2067177616991102695465f,\ +0.6848411662504076957703f,0.1348653226159512996674f,0.0069159921258687973022f,\ +0.1496290047653019428253f,0.5665438110008835792542f,0.4359452719800174236298f,\ +0.6547604538500308990479f,0.3381605879403650760651f,0.4259321158751845359802f,\ +0.3060420057736337184906f,0.7704779822379350662231f,0.7058695447631180286408f,\ +0.2373670237138867378235f,0.8205849635414779186249f,0.6789963841438293457031f,\ +0.5250809141434729099274f,0.3359806565567851066589f,0.8941988362930715084076f,\ +0.5461782198399305343628f,0.7568633262999355792999f,0.0259526828303933143616f,\ +0.3250150899402797222138f,0.6072143577039241791f,0.8756139636971056461334f,\ +0.2962085595354437828064f,0.4229678637348115444183f,0.4243144039064645767212f,\ +0.7620028969831764698029f,0.3622896494343876838684f,0.5658242437057197093964f,\ +0.6424440070986747741699f,0.7580267959274351596832f,0.2531452132388949394226f,\ +0.5266989110969007015228f,0.2118590380996465682983f,0.4779220153577625751495f,\ +0.1615962767973542213440f,0.9168031658045947551727f,0.5461866445839405059815f,\ +0.4686870560981333255768f,0.7772213732823729515076f,0.5871783248148858547211f,\ +0.5848031807690858840942f,0.3139644009061157703400f,0.3204141603782773017883f,\ +0.3331634956412017345429f,0.2282590121030807495117f,0.2750317254103720188141f,\ +0.4963629124686121940613f,0.7453477247618138790131f,0.1155001949518918991089f,\ +0.0626524840481579303741f,0.0877018878236413002014f,0.5507565210573375225067f,\ +0.2116370312869548797607f,0.8335358710028231143951f,0.4045845707878470420837f,\ +0.2880227542482316493988f,0.1750094983726739883423f,0.0051561561413109302521f,\ +0.3109287889674305915833f,0.6602919283322989940643f,0.9722995534539222717285f,\ +0.9826813959516584873200f,0.0455837054178118705750f,0.4096118300221860408783f,\ +0.7104403134435415267944f,0.3917615194804966449738f,0.5571686858311295509338f,\ +0.0565565521828830242157f,0.1540721096098423004150f,0.9109257892705500125885f,\ +0.5713340407237410545349f,0.3488348922692239284515f,0.8972954172641038894653f,\ +0.2973396372981369495392f,0.1091936426237225532532f,0.7626331257633864879608f,\ +0.6584706604480743408203f,0.6996708759106695652008f,0.6756794182583689689636f,\ +0.9004421546123921871185f,0.6668148916214704513550f,0.8518152837641537189484f,\ +0.8365677157416939735413f,0.1291190306656062602997f,0.6095453463494777679443f,\ +0.2412315667606890201569f,0.4029275467619299888611f,0.3019328541122376918793f,\ +0.1083198729902505874634f,0.8456356939859688282013f,0.9417407037690281867981f,\ +0.9083450469188392162323f,0.1937242373824119567871f,0.5318046086467802524567f,\ +0.8314437521621584892273f,0.4952740012668073177338f,0.7465563025325536727905f,\ +0.7102393140085041522980f,0.5811418974772095680237f,0.7035941029898822307587f,\ +0.3746570833027362823486f,0.3394373343326151371002f,0.6322447275742888450623f,\ +0.7636191300116479396820f,0.6940386760979890823364f,0.8735245508141815662384f,\ +0.3612738298252224922180f,0.7933200257830321788788f,0.4830590635538101196289f,\ +0.2469964125193655490875f,0.5025922833010554313660f,0.7430270477198064327240f,\ +0.6783937942236661911011f,0.4903185223229229450226f,0.709806025959551334381f,\ +0.3303662906400859355927f,0.6815545372664928436279f,0.0701365978457033634186f,\ +0.4745870968326926231384f,0.8091805852018296718597f,0.9447045121341943740845f,\ +0.5478458073921501636505f,0.1216687532141804695129f,0.9161847713403403759003f,\ +0.3045207932591438293457f,0.6502694808878004550934f,0.0987624628469347953796f,\ +0.8391053467057645320892f,0.0328534897416830062866f,0.3461971958167850971222f,\ +0.2801467711105942726135f,0.5500544901005923748016f,0.0729318000376224517822f,\ +0.0225322381593286991119f,0.50267804320901632309f,0.3478884599171578884125f,\ +0.4298669416457414627075f,0.3537984383292496204376f,0.0529730813577771186829f,\ +0.9533003675751388072968f,0.1842019557952880859375f,0.958756382111459970474f,\ +0.3245136169716715812683f,0.0003973259590566158295f,0.0972583871334791183472f,\ +0.4378789965994656086f,0.3634226778522133827210f,0.2685119728557765483856f,\ +0.2770298384130001068115f,0.8854365111328661441803f,0.5216628303751349449158f,\ +0.4979983693920075893f,0.8733724001795053482056f,0.4699407932348549365997f,\ +0.9364062966778874397278f,0.1337622734718024730682f,0.2712419554591178894043f,\ +0.1766990595497190952301f,0.0543269468471407890320f,0.8402757882140576839447f,\ +0.7507283594459295272827f,0.3062269617803394794464f,0.9195641661062836647034f,\ +0.1318263853900134563446f,0.0826364941895008087158f,0.8222710476256906986237f,\ +0.4441085970029234886169f,0.9617503038607537746429f,0.0283641982823610305786f,\ +0.1431905967183411121368f,0.3793597565963864326477f,0.6144003230147063732147f,\ +0.2128270715475082397461f,0.4704488315619528293610f,0.2076055286452174186707f,\ +0.7435979112051427364349f,0.3391801547259092330933f,0.2479635034687817096710f,\ +0.6721735307946801185608f,0.9013197491876780986786f,0.2140864841639995574951f,\ +0.8460668534971773624420f,0.1650043567642569541931f,0.4003686285577714443207f,\ +0.5522825215011835098267f,0.0638249483890831470490f,0.6903966935351490974426f,\ +0.8547787251882255077362f,0.0291904583573341369629f,0.5434663915075361728668f,\ +0.6236743135377764701843f,0.2417052476666867733002f} + +#define CSOURCEI {0.5503273960202932357788f,0.6906704087741672992706f,0.9835249418392777442932f,\ +0.8285484607331454753876f,0.2062614001333713531494f,0.1944643096067011356354f,\ +0.4367609983310103416443f,0.8090620837174355983734f,0.8818644303828477859497f,\ +0.7404803228564560413361f,0.7542522149160504341126f,0.9921960639767348766327f,\ +0.9886121451854705810547f,0.0113218077458441257477f,0.9367801276966929435730f,\ +0.3874237253330647945404f,0.2886805813759565353394f,0.567788839805871248245f,\ +0.7295644441619515419006f,0.0303032915107905864716f,0.2795897088944911956787f,\ +0.7047131718136370182037f,0.7442112853750586509705f,0.8920237845741212368012f,\ +0.1081438604742288589478f,0.8751525697298347949982f,0.9068333031609654426575f,\ +0.2166852983646094799042f,0.4824190363287925720215f,0.7766945236362516880035f,\ +0.4510916722938418388367f,0.1300636469386518001556f,0.5505470838397741317749f,\ +0.6936193336732685565949f,0.1749099576845765113831f,0.8636093880049884319305f,\ +0.2150467522442340850830f,0.1886725709773600101471f,0.1796098565682768821716f,\ +0.4374312213622033596039f,0.8514516223222017288208f,0.7381969136185944080353f,\ +0.8102188156917691230774f,0.1460137623362243175507f,0.8999849110841751098633f,\ +0.4043733575381338596344f,0.0156995235010981559753f,0.6904196902178227901459f,\ +0.2990311514586210250855f,0.1383218024857342243195f,0.8478512773290276527405f,\ +0.3007262717001140117645f,0.229154746979475021362f,0.8078110129572451114655f,\ +0.3176332255825400352478f,0.6924462593160569667816f,0.1364154014736413955689f,\ +0.5433279541321098804474f,0.3276594849303364753723f,0.2006831648759543895721f,\ +0.5037304237484931945801f,0.4962565028108656406403f,0.8996161324903368949890f,\ +0.9357709079049527645111f,0.3390339072793722152710f,0.6029155333526432514191f,\ +0.4153500730171799659729f,0.3041478390805423259735f,0.8489827848970890045166f,\ +0.4482063786126673221588f,0.0903797810897231101990f,0.7382151386700570583344f,\ +0.2669597584754228591919f,0.8226196658797562122345f,0.3985779182985424995422f,\ +0.9789295899681746959686f,0.3041231036186218261719f,0.0663515278138220310211f,\ +0.6667758254334330558777f,0.7548807277344167232513f,0.1922533493489027023315f,\ +0.7942791883833706378937f,0.5580398896709084510803f,0.2016023616306483745575f,\ +0.787146832793951034546f,0.0955459238030016422272f,0.6623697867617011070252f,\ +0.864868474658578634262f,0.7013061288744211196899f,0.8015053984709084033966f,\ +0.9135685982182621955872f,0.6317234965972602367401f,0.9346773549914360046387f,\ +0.9157753759063780307770f,0.0510348035022616386414f,0.4329969524405896663666f,\ +0.9721843507140874862671f,0.8001508046872913837433f,0.8452261472120881080627f,\ +0.0610524858348071575165f,0.8168097324669361114502f,0.2101262793876230716705f,\ +0.3055453812703490257263f,0.9465212575159966945648f,0.9269728232175111770630f,\ +0.7737778765149414539337f,0.5893978821113705635071f,0.2377697187475860118866f,\ +0.5269544571638107299805f,0.0077543654479086399078f,0.8311711428686976432800f,\ +0.0268517597578465938568f,0.2591186594218015670776f,0.4641277943737804889679f,\ +0.6098861405625939369202f,0.0656952331773936748505f,0.6466812007129192352295f,\ +0.1018534512259066104889f,0.2742705782875418663025f,0.8162728524766862392426f,\ +0.3357750270515680313110f,0.4765891996212303638458f,0.8440040023997426033020f,\ +0.1785074654035270214081f,0.5855625644326210021973f,0.8426241897977888584137f,\ +0.7058847947046160697937f,0.7396617024205625057221f,0.9751448985189199447632f,\ +0.7606669445522129535675f,0.8236690396443009376526f,0.8889620001427829265595f,\ +0.7960178293287754058838f,0.3052428201772272586823f,0.6803312664851546287537f,\ +0.6412069997750222682953f,0.0988248009234666824341f,0.4654508423991501331329f,\ +0.6714970665052533149719f,0.5131103205494582653046f,0.8631567060947418212891f,\ +0.8328299173153936862946f,0.1687975851818919181824f,0.2961277081631124019623f,\ +0.2591485660523176193237f,0.1700844173319637775421f,0.9718958893790841102600f,\ +0.0695185582153499126434f,0.4696230851113796234131f,0.9544191421009600162506f,\ +0.3679352095350623130798f,0.2973918146453797817230f,0.0415310803800821304321f,\ +0.4892336544580757617950f,0.5171590568497776985169f,0.3534862431697547435761f,\ +0.2354387864470481872559f,0.6779259913600981235504f,0.3834532154724001884460f,\ +0.3174350797198712825775f,0.3418120350688695907593f,0.0535557498224079608917f,\ +0.9285596096888184547424f,0.3862650538794696331024f,0.4328473098576068878174f,\ +0.1581165478564798831940f,0.7887120461091399192810f,0.7448797873221337795258f,\ +0.5185996759682893753052f,0.8651678604073822498322f,0.1524438308551907539368f,\ +0.2392775672487914562225f,0.5761575847864151000977f,0.7395762302912771701813f,\ +0.0583172617480158805847f,0.6962534948252141475678f,0.4206145536154508590698f,\ +0.0281158541329205036163f,0.8313249954953789710999f,0.2333360086195170879364f,\ +0.8865877203643321990967f,0.3746785433031618595123f,0.87671328987926244736f,\ +0.4027077830396592617035f,0.2890332732349634170532f,0.8538430598564445972443f,\ +0.5499771209433674812317f,0.5128610017709434032440f,0.6321087554097175598145f,\ +0.4165538274683058261871f,0.3217771751806139945984f,0.9717370062135159969330f,\ +0.5348322447389364242554f,0.3416590173728764057159f,0.9565287167206406593323f,\ +0.9951003189198672771454f,0.3422884084284305572510f,0.7870580093003809452057f,\ +0.9234123295173048973084f,0.5238970420323312282562f} + +#define CRESULTR {0.8432166939003225003546f,1.028696846310626300536f,0.8741363651656853805960f,\ +1.0145139259460289604675f,0.4720540083473970804917f,0.4952416659876168192334f,\ +0.8651884064428800868996f,0.6910466586042781633736f,0.6666361606264414874090f,\ +0.6727093940540614935841f,0.8688705649614124615354f,0.8716907101266159196840f,\ +0.959306172735902795701f,0.5815972201878681913101f,0.8529353171823288448650f,\ +0.6323612148789939935156f,0.8925417496893577329331f,0.8977079570170535260942f,\ +0.7087222819700315090685f,0.9060158028150111508836f,0.8406257183559593393341f,\ +0.8378258601984284181796f,0.7591172919619637582400f,1.0385687027372507706957f,\ +0.7426169311676505957465f,0.9782382399865202637912f,0.6830656191716251157686f,\ +0.5981803109332550771882f,0.8314861127635455595453f,1.011450539647472002258f,\ +0.6464748892519300849102f,0.6578303557631125508820f,0.7481312014375646191056f,\ +0.9466832738110327882808f,0.6183009489366241284714f,0.8939481166511646925699f,\ +0.8123805134131761862548f,0.8772630865325246052322f,0.5308180535125875953995f,\ +0.7782537556049359261934f,0.7379946979653042582470f,0.8238088030668070382845f,\ +0.7027705686531833251252f,0.9605105126328297160399f,0.8941312697312054913468f,\ +0.7374641482216017784879f,0.8816465539160547315589f,0.8641531635219484863697f,\ +0.7879164327234249309839f,0.5731702653710250006114f,0.7831953532687397911971f,\ +0.6252910190572938953224f,0.5252142434850843866201f,0.7511253936013374543634f,\ +0.7367688115224660938551f,0.9388049677540464266201f,0.3835650562588603929015f,\ +0.5520782622396902539208f,0.4620041004215187374626f,0.753968196415999991622f,\ +0.6156379639362553612969f,0.9496353272389349564620f,0.8339637612267859489990f,\ +0.7959636817154828181131f,0.5275172507857687209665f,0.5514044508846071002139f,\ +0.6441142487726253529345f,0.8328463321559912424519f,1.0637408773050947008443f,\ +1.0155667426713801404503f,0.2709318224164963262446f,0.7917869572241151843173f,\ +0.8571412685012261833961f,0.8071256937996567071281f,0.7881067116954072471202f,\ +0.7201105910271731191941f,0.4974916923152819525633f,0.9550562531126176590846f,\ +0.8512952675658871370956f,0.7682506551752034118508f,0.9526163214553304836585f,\ +0.756785792150606484441f,0.5821581994240766499971f,0.8807562498788572558084f,\ +0.9178011959841433364815f,0.8384018774833429388238f,0.9005192643641398708709f,\ +1.0365709563884744071061f,0.9040270806600297914812f,1.0053433947417824700921f,\ +1.0186506185399304413863f,0.6220542372412505294221f,0.9288207542994831866778f,\ +0.7707938959111726440199f,0.63603233719709606486f,0.6441295538205468185211f,\ +0.7370617546735380720691f,1.0024537010421461502574f,1.0505138587196660715506f,\ +0.953608813532313304151f,0.7187463572209089601728f,0.7428380749761755996730f,\ +0.9266208094400342210051f,0.8841784551932333480195f,0.9840672842877067338918f,\ +0.9382321956452510658409f,0.8393030146072417707615f,0.8503757458476615127552f,\ +0.7145712412765103938028f,0.5826505086380492359766f,0.9155742917376128442442f,\ +0.8739880489156448550858f,0.8470155698847267045082f,0.9650636753683585755681f,\ +0.7314820521682621201620f,0.8914470068047345430173f,0.8031939281911506522960f,\ +0.5070351579739499348065f,0.7331953647718203459505f,0.9609459795569127438242f,\ +0.847153172323739211969f,0.7661900708888577105071f,0.9519994233321562582262f,\ +0.5940854373891888418058f,0.8888500969738630796968f,0.6766367900740852814323f,\ +0.8139959478095014633325f,0.9760840415848224260742f,1.0729430743093604228022f,\ +0.8617604247210989276695f,0.6907515785500089045002f,1.0470820008330794514961f,\ +0.7605256422767727730872f,0.8272295000550387022997f,0.6269868176753693456149f,\ +0.9734363297756469801669f,0.2617213661737881613689f,0.6805441931353264362059f,\ +0.709837674958288866733f,0.8069322418000910435154f,0.6852606023040614946496f,\ +0.6540897892889659948068f,0.7186585042731442607433f,0.6343284289266235553839f,\ +0.6825711485307393022737f,0.610883282746898181870f,0.7163489185444231743816f,\ +0.9770189769897136278232f,0.5867956626396594321804f,1.0750765659376522176416f,\ +0.6384005820717564283484f,0.3858687639762184984349f,0.3186007968636310749844f,\ +0.7397471191545493818254f,0.7055161810773808994668f,0.5968318319385850223569f,\ +0.5659466952073320955563f,1.0001490762521170196919f,0.7645570771657418385203f,\ +0.7377545989844320750706f,0.9516433749813681952645f,0.6866306949128065939547f,\ +1.0618728756326238915619f,0.5208322311777507929165f,0.6253215357738258761700f,\ +0.4548702015131091402900f,0.6499645432009629741899f,0.9907517258725765385563f,\ +0.9119111641770327736367f,0.7823013339720715775272f,0.9622054437069111898495f,\ +0.4500082630180006204590f,0.5764937377448445809947f,0.9818886833563331695274f,\ +0.6678434466414240322507f,1.0365982590716655842300f,0.4743068831608843738401f,\ +0.3802074434441635730764f,0.8040992937118037753308f,0.7973759350671048018455f,\ +0.7498672536100723373664f,0.7320754444197923316295f,0.7445011903920762952325f,\ +0.8914147503382092718738f,0.6264212402370327170686f,0.7540169824914779717062f,\ +0.8776882812655947274649f,0.9844634271419567816963f,0.6638769890354155878143f,\ +0.9458113966252766902088f,0.5131381594621587938221f,0.8518664381177757372043f,\ +0.812738510298055549796f,0.4535385196962208320670f,0.9669683162928227604382f,\ +1.040816644093084830658f,0.4316950876741513232204f,0.8660041994184899394327f,\ +0.9321942634710010944232f,0.6397933456564963705660f} + +#define CRESULTI {0.3263261982366231217512f,0.3357016264078308553920f,0.5625695149136477057894f,\ +0.4083475049199193351868f,0.2184722473340149073717f,0.1963327431456096394680f,\ +0.2524080275917597870894f,0.5853888978723345015709f,0.6614285891378552939557f,\ +0.5503716236174250875379f,0.4340417579628489397337f,0.5691216233293430182272f,\ +0.5152745668080026542057f,0.0097333750513688352402f,0.5491507438051371758903f,\ +0.3063310306018693363050f,0.1617182509817773616856f,0.3162436265422815528936f,\ +0.5147040404416135528365f,0.0167233791158154128376f,0.1662985694996903240917f,\ +0.4205606470816827258119f,0.4901820135407665146587f,0.4294486162653968763792f,\ +0.0728126817040040535955f,0.4473105496989639440209f,0.6637966234200971538115f,\ +0.1811203866159907804878f,0.2900944639504645650163f,0.3839508177567231839156f,\ +0.3488856874362309956617f,0.0988580458466166156484f,0.36794821735938526563f,\ +0.3663418129703439607425f,0.1414440314101028384197f,0.4830310461641617592044f,\ +0.1323559272370566086696f,0.1075347714236491863948f,0.1691821287725076283781f,\ +0.2810338004872128814249f,0.5768683871779194394236f,0.4480389811753019424501f,\ +0.5764461773381487352808f,0.0760084144919923321293f,0.5032733679892044120763f,\ +0.2741647566958217985267f,0.0089035245651246392590f,0.3994776154055512673580f,\ +0.1897607024294587774183f,0.1206637982137782894032f,0.5412770094909528095784f,\ +0.2404690476392074838241f,0.2181535914362372208242f,0.5377337924125580315149f,\ +0.2155582732432577419690f,0.3687913267931641758679f,0.1778256377212544814270f,\ +0.4920751198642726587096f,0.3546066849097115891709f,0.1330846352869425042176f,\ +0.4091125411822805202355f,0.2612879326286920989020f,0.5393616451432939884469f,\ +0.5878226164089255245671f,0.3213486447830481429477f,0.5467089832022555828672f,\ +0.3224195659455129092663f,0.1825954124653428600755f,0.3990552600779624370375f,\ +0.2206681056892876025000f,0.1667943253834255346035f,0.4661703075143642238665f,\ +0.1557268144037805002178f,0.5095982399018667008406f,0.2528705265313027639174f,\ +0.6797078130539779827757f,0.3056564645363825660773f,0.0347369736586594715644f,\ +0.3916242993690946527785f,0.4912984601114738780758f,0.1009080702371304705256f,\ +0.5247714720741629701450f,0.4792854332576366727f,0.1144484422667324668987f,\ +0.4288220783749939757357f,0.0569809815370433195292f,0.36777102554791152311f,\ +0.4171776516254488420543f,0.3878789385171945158781f,0.3986227007920866149959f,\ +0.4484209706404114204048f,0.5077720388168175391641f,0.5031527077021280547342f,\ +0.5940468527088033079409f,0.0401196609964555792049f,0.3361101426509159328937f,\ +0.6594999296529031607150f,0.3990961397296745039043f,0.4022917642620268408038f,\ +0.0320112843801534235899f,0.5682183459163515637513f,0.1414347799783703119037f,\ +0.1648707746240843652341f,0.5352546490793753664050f,0.470990570471244762718f,\ +0.4123594778064457178068f,0.3511234154134331153507f,0.1398027400878979753518f,\ +0.3687207284066310042370f,0.0066543882936226537647f,0.4539069906010949617681f,\ +0.0153616286808277956177f,0.1529597971009351853322f,0.2404648554390081682808f,\ +0.4168838721023755411466f,0.0368475258068726510552f,0.4025685317176705413367f,\ +0.1004402255189763004672f,0.1870378561196294198155f,0.4247235900050622126045f,\ +0.1981784628926891167478f,0.3110123830424602608957f,0.4432796815388754252396f,\ +0.1502372000465193591090f,0.3293933175156303350128f,0.6226562035634579661547f,\ +0.4335923272125510874453f,0.3788924267318253269465f,0.4544252728163645227433f,\ +0.4413447883722416142938f,0.5962122022024949341557f,0.4244949294494160807467f,\ +0.5233339844701030418861f,0.1844970592543655196760f,0.5425403272492764772395f,\ +0.3293523059298621991076f,0.1887977324286261304742f,0.3419695936679567616068f,\ +0.4729933970782203567218f,0.3179389135603382654516f,0.6298017886863316316948f,\ +0.6366327153805051430879f,0.1174393569255921254690f,0.2334182851178558948391f,\ +0.1898326398721546515169f,0.1392118774041107009953f,0.6783676670817878617825f,\ +0.0355768720222523482377f,0.4001589607861217867679f,0.4438842647772449079291f,\ +0.2881695442233370707541f,0.3853535740764292283345f,0.0651773014834273051177f,\ +0.330676282333628224208f,0.3665111238554681349910f,0.2961355479495680342872f,\ +0.2080043831343482141350f,0.3389124718789456314205f,0.2507682074527933790975f,\ +0.2151359545279972751430f,0.1795904033249649811577f,0.0389989482113152971521f,\ +0.4372272948094740319114f,0.3708152364207700224519f,0.3460997943417740696503f,\ +0.1738040295127169787559f,0.6067346706520863053314f,0.3759164722454063634061f,\ +0.2843476954448227456140f,0.5529633038042787163136f,0.0792158430677229186134f,\ +0.2658590818355930918138f,0.4997084504683915184842f,0.3766089999954101985580f,\ +0.0436608774416314404654f,0.3358357438535300443228f,0.4433991668140928599229f,\ +0.0369743604678396259322f,0.5169293158173903224295f,0.1463149302341813229322f,\ +0.5911631132684145306655f,0.2559015919459735610708f,0.5887924030165481159571f,\ +0.2258812650827625445604f,0.2307020058304501131108f,0.5661961730855942231955f,\ +0.3133100513489369687292f,0.2604774274143707435414f,0.4760737048049700770314f,\ +0.2202097738273190163927f,0.3135385365979036498274f,0.5703576069745146526202f,\ +0.3290309478154280209417f,0.3766593161719967164380f,0.4946018916047810187742f,\ +0.4780382426469301782035f,0.3964469578199069088598f,0.4544192798538850830425f,\ +0.4952896438554572622337f,0.4094267669310915347403f} + + + + +void ssqrtsTest(void) { + float in[]=SOURCE; + float res[]=RESULT; + float out; + int i; + + for (i=0;i<200;i++){ + out=ssqrts(in[i]); + assert(( (fabs(out-res[i]))/(fabs(out)) )<1e-7); + } +} + +void csqrtsTest(void) { + float inR[]=CSOURCER; + float inI[]=CSOURCEI; + float resR[]=CRESULTR; + float resI[]=CRESULTI; + floatComplex in,out; + int i; + + for (i=0;i<200;i++){ + in=FloatComplex(inR[i],inI[i]); + out=csqrts(in); + assert(( (fabs(creals(out)-resR[i]))/(fabs(creals(out))) )<1e-6); + assert(( (fabs(cimags(out)-resI[i]))/(fabs(cimags(out))) )<1e-6); + } +} + +void ssqrtaTest(void) { + float in[]=SOURCE; + float res[]=RESULT; + float out[200]; + int i,j; + j=1; + ssqrta(in,200,out); + for (i=0;i<200;i++){ + assert(( (fabs(out[i]-res[i]))/(fabs(out[i])) )<1e-6); + } +} + +void csqrtaTest(void) { + float inR[]=CSOURCER; + float inI[]=CSOURCEI; + float resR[]=CRESULTR; + float resI[]=CRESULTI; + floatComplex *in,out[200]; + int i; + + in=FloatComplexMatrix(inR,inI,200); + csqrta(in,200,out); + + for (i=0;i<200;i++){ + assert(( (fabs(creals(out[i])-resR[i]))/(fabs(creals(out[i]))) )<1e-6); + assert(( (fabs(cimags(out[i])-resI[i]))/(fabs(cimags(out[i]))) )<1e-6); + } +} + +int testSqrt() { + printf("\n>>>> Float Square Root Tests\n"); + ssqrtsTest(); + csqrtsTest(); + ssqrtaTest(); + csqrtaTest(); + + return 0; +} + +int main() { + assert(testSqrt() == 0); + return 0; +} diff --git a/2.3-1/src/c/elementaryFunctions/sqrt/testSqrt.h b/2.3-1/src/c/elementaryFunctions/sqrt/testSqrt.h new file mode 100644 index 00000000..8262de7c --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/sqrt/testSqrt.h @@ -0,0 +1,40 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2007-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#ifndef _TESTSQRT_H_ +#define _TESTSQRT_H_ + +#include <stdio.h> +#include <assert.h> +#include <math.h> +#include "sqrt.h" +#include "constant.h" + +void ssqrtsTest(void); + +void ssqrtaTest(void); + +void dsqrtsTest(void); + +void dsqrtaTest(void); + +void csqrtsTest(void); + +void csqrtaTest(void); + +void zsqrtsTest(void); + +void zsqrtaTest(void); + +int testSqrt(void); + +#endif /* !_TESTSQRT_H_ */ diff --git a/2.3-1/src/c/elementaryFunctions/sqrt/zsqrta.c b/2.3-1/src/c/elementaryFunctions/sqrt/zsqrta.c new file mode 100644 index 00000000..b6472951 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/sqrt/zsqrta.c @@ -0,0 +1,20 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2007-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "sqrt.h" + +void zsqrta(doubleComplex* in, int size, doubleComplex* out) { + int i = 0; + for (i = 0 ; i < size ; ++i) { + out[i] = zsqrts(in[i]); + } +} diff --git a/2.3-1/src/c/elementaryFunctions/sqrt/zsqrts.c b/2.3-1/src/c/elementaryFunctions/sqrt/zsqrts.c new file mode 100644 index 00000000..3637ddd6 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/sqrt/zsqrts.c @@ -0,0 +1,111 @@ +/*
+ * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
+ * Copyright (C) 2008-2008 - INRIA - Bruno JOFRET
+ * Copyright (C) Bruno Pincon
+ *
+ * This file must be used under the terms of the CeCILL.
+ * This source file is licensed as described in the file COPYING, which
+ * you should have received as part of this distribution. The terms
+ * are also available at
+ * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt
+ *
+ */
+#include <stdio.h>
+#include <math.h>
+#include "sqrt.h"
+#include "lapack.h"
+#include "abs.h"
+#include "sign.h"
+#include "pythag.h"
+
+#ifdef _MSC_VER
+#include <float.h>
+#define isnan(x) _isnan((double)x)
+#endif
+
+#define _sign(a, b) b >=0 ? a : -a
+
+doubleComplex zsqrts(doubleComplex in) {
+ double RMax = getOverflowThreshold();
+ double BRMin = 2 * getUnderflowThreshold();
+
+ double RealIn = zreals(in);
+ double ImgIn = zimags(in);
+
+ double RealOut = 0;
+ double ImgOut = 0;
+
+ if(RealIn == 0)
+ {/* pure imaginary case */
+ if(dabss(ImgIn >= BRMin))
+ RealOut = dsqrts(0.5 * dabss(ImgIn));
+ else
+ RealOut = dsqrts(dabss(ImgIn)) * dsqrts(0.5);
+
+ ImgOut = _sign(1, ImgIn) * RealOut;
+ }
+ else if( dabss(RealIn) <= RMax && dabss(ImgIn) <= RMax)
+ {/* standard case : a (not zero) and b are finite */
+ double Temp = dsqrts(2 * (dabss(RealIn) + dpythags(RealIn, ImgIn)));
+ /* overflow test */
+ if(Temp > RMax)
+ {/* handle (spurious) overflow by scaling a and b */
+ double RealTemp = RealIn / 16;
+ double ImgTemp = ImgIn / 16;
+ Temp = dsqrts(2 * (dabss(RealIn) + dpythags(RealIn, ImgTemp)));
+ if(RealTemp >= 0)
+ {
+ RealOut = 2 * Temp;
+ ImgOut = 4 * ImgTemp / Temp;
+ }
+ else
+ {
+ RealOut = 4 * dabss(ImgIn) / Temp;
+ ImgOut = _sign(2, ImgIn) * Temp;
+ }
+ }
+ else if(RealIn >= 0) /* classic switch to get the stable formulas */
+ {
+ RealOut = 0.5 * Temp;
+ ImgOut = ImgIn / Temp;
+ }
+ else
+ {
+ RealOut = dabss(ImgIn) / Temp;
+ ImgOut = (_sign(0.5, ImgIn)) * Temp;
+ }
+ }
+ else
+ {
+ /*
+ //Here we treat the special cases where a and b are +- 00 or NaN.
+ //The following is the treatment recommended by the C99 standard
+ //with the simplification of returning NaN + i NaN if the
+ //the real part or the imaginary part is NaN (C99 recommends
+ //something more complicated)
+ */
+
+ if(isnan(RealIn) == 1 || isnan(ImgIn) == 1)
+ {/* got NaN + i NaN */
+ RealOut = RealIn + ImgIn;
+ ImgOut = RealOut;
+ }
+ else if( dabss(ImgIn) > RMax)
+ {/* case a +- i oo -> result must be +oo +- i oo for all a (finite or not) */
+ RealOut = dabss(ImgIn);
+ ImgOut = ImgIn;
+ }
+ else if(RealIn < -RMax)
+ {/* here a is -Inf and b is finite */
+ RealOut = 0;
+ ImgOut = _sign(1, ImgIn) * dabss(RealIn);
+ }
+ else
+ {/* here a is +Inf and b is finite */
+ RealOut = RealIn;
+ ImgOut = 0;
+ }
+ }
+
+ return DoubleComplex(RealOut, ImgOut);
+}
diff --git a/2.3-1/src/c/elementaryFunctions/tan/Makefile.am b/2.3-1/src/c/elementaryFunctions/tan/Makefile.am new file mode 100644 index 00000000..71fc0112 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/tan/Makefile.am @@ -0,0 +1,73 @@ +## +## Scilab ( http://www.scilab.org/ ) - This file is part of Scilab +## Copyright (C) 2008-2008 - INRIA - Bruno JOFRET +## +## This file must be used under the terms of the CeCILL. +## This source file is licensed as described in the file COPYING, which +## you should have received as part of this distribution. The terms +## are also available at +## http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt +## +## + +libTan_la_CFLAGS = -I $(top_builddir)/src/c/type \ + -I $(top_builddir)/src/c/elementaryFunctions/includes \ + -I $(top_builddir)/src/c/auxiliaryFunctions/includes + +instdir = $(top_builddir)/lib + +pkglib_LTLIBRARIES = libTan.la + +libTan_la_SOURCES = $(HEAD) $(SRC) + +SRC = stans.c \ + dtans.c \ + ctans.c \ + ztans.c \ + stana.c \ + dtana.c \ + ctana.c \ + ztana.c + +HEAD = ../includes/tan.h + +#### +# Checking Part +#### + +check_INCLUDES = -I $(top_builddir)/src/c/elementaryFunctions/includes \ + -I $(top_builddir)/src/c/type + +check_LDADD = $(top_builddir)/src/fortran/lapack/libscilapack.la \ + $(top_builddir)/src/c/type/libDoubleComplex.la \ + $(top_builddir)/src/c/type/libFloatComplex.la \ + $(top_builddir)/src/c/operations/addition/libAddition.la \ + $(top_builddir)/src/c/elementaryFunctions/tan/libTan.la \ + $(top_builddir)/src/c/elementaryFunctions/sin/libSin.la \ + $(top_builddir)/src/c/elementaryFunctions/cos/libCos.la \ + $(top_builddir)/src/c/elementaryFunctions/sinh/libSinh.la \ + $(top_builddir)/src/c/elementaryFunctions/cosh/libCosh.la \ + $(top_builddir)/src/c/elementaryFunctions/exp/libExp.la \ + $(top_builddir)/src/c/elementaryFunctions/log/libLog.la \ + $(top_builddir)/src/c/elementaryFunctions/sqrt/libSqrt.la \ + $(top_builddir)/src/c/elementaryFunctions/log1p/libLog1p.la \ + $(top_builddir)/src/c/elementaryFunctions/lnp1m1/libLnp1m1.la \ + $(top_builddir)/src/c/auxiliaryFunctions/abs/libAbs.la \ + $(top_builddir)/src/c/auxiliaryFunctions/pythag/libPythag.la \ + $(top_builddir)/src/c/operations/multiplication/libMultiplication.la \ + @LIBMATH@ + +check_PROGRAMS = testFloatTan testDoubleTan + +TESTS = testFloatTan testDoubleTan + +# +# -*- Tangeant Tests -*- +# +testFloatTan_SOURCES = testTan.h testFloatTan.c +testFloatTan_CFLAGS = $(check_INCLUDES) -g +testFloatTan_LDADD = $(check_LDADD) + +testDoubleTan_SOURCES = testTan.h testDoubleTan.c +testDoubleTan_CFLAGS = $(check_INCLUDES) -g +testDoubleTan_LDADD = $(check_LDADD) diff --git a/2.3-1/src/c/elementaryFunctions/tan/Makefile.in b/2.3-1/src/c/elementaryFunctions/tan/Makefile.in new file mode 100644 index 00000000..01d6aecf --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/tan/Makefile.in @@ -0,0 +1,818 @@ +# Makefile.in generated by automake 1.11.1 from Makefile.am. +# @configure_input@ + +# Copyright (C) 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002, +# 2003, 2004, 2005, 2006, 2007, 2008, 2009 Free Software Foundation, +# Inc. +# This Makefile.in is free software; the Free Software Foundation +# gives unlimited permission to copy and/or distribute it, +# with or without modifications, as long as this notice is preserved. + +# This program is distributed in the hope that it will be useful, +# but WITHOUT ANY WARRANTY, to the extent permitted by law; without +# even the implied warranty of MERCHANTABILITY or FITNESS FOR A +# PARTICULAR PURPOSE. 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@program_transform_name@ +psdir = @psdir@ +sbindir = @sbindir@ +sharedstatedir = @sharedstatedir@ +srcdir = @srcdir@ +sysconfdir = @sysconfdir@ +target_alias = @target_alias@ +top_build_prefix = @top_build_prefix@ +top_builddir = @top_builddir@ +top_srcdir = @top_srcdir@ +libTan_la_CFLAGS = -I $(top_builddir)/src/c/type \ + -I $(top_builddir)/src/c/elementaryFunctions/includes \ + -I $(top_builddir)/src/c/auxiliaryFunctions/includes + +instdir = $(top_builddir)/lib +pkglib_LTLIBRARIES = libTan.la +libTan_la_SOURCES = $(HEAD) $(SRC) +SRC = stans.c \ + dtans.c \ + ctans.c \ + ztans.c \ + stana.c \ + dtana.c \ + ctana.c \ + ztana.c + +HEAD = ../includes/tan.h + +#### +# Checking Part +#### +check_INCLUDES = -I $(top_builddir)/src/c/elementaryFunctions/includes \ + -I $(top_builddir)/src/c/type + +check_LDADD = $(top_builddir)/src/fortran/lapack/libscilapack.la \ + $(top_builddir)/src/c/type/libDoubleComplex.la \ + $(top_builddir)/src/c/type/libFloatComplex.la \ + $(top_builddir)/src/c/operations/addition/libAddition.la \ + $(top_builddir)/src/c/elementaryFunctions/tan/libTan.la \ + $(top_builddir)/src/c/elementaryFunctions/sin/libSin.la \ + $(top_builddir)/src/c/elementaryFunctions/cos/libCos.la \ + $(top_builddir)/src/c/elementaryFunctions/sinh/libSinh.la \ + $(top_builddir)/src/c/elementaryFunctions/cosh/libCosh.la \ + $(top_builddir)/src/c/elementaryFunctions/exp/libExp.la \ + $(top_builddir)/src/c/elementaryFunctions/log/libLog.la \ + $(top_builddir)/src/c/elementaryFunctions/sqrt/libSqrt.la \ + $(top_builddir)/src/c/elementaryFunctions/log1p/libLog1p.la \ + $(top_builddir)/src/c/elementaryFunctions/lnp1m1/libLnp1m1.la \ + $(top_builddir)/src/c/auxiliaryFunctions/abs/libAbs.la \ + $(top_builddir)/src/c/auxiliaryFunctions/pythag/libPythag.la \ + $(top_builddir)/src/c/operations/multiplication/libMultiplication.la \ + @LIBMATH@ + + +# +# -*- Tangeant Tests -*- +# +testFloatTan_SOURCES = testTan.h testFloatTan.c +testFloatTan_CFLAGS = $(check_INCLUDES) -g +testFloatTan_LDADD = $(check_LDADD) +testDoubleTan_SOURCES = testTan.h testDoubleTan.c +testDoubleTan_CFLAGS = $(check_INCLUDES) -g +testDoubleTan_LDADD = $(check_LDADD) +all: all-am + +.SUFFIXES: +.SUFFIXES: .c .lo .o .obj +$(srcdir)/Makefile.in: @MAINTAINER_MODE_TRUE@ $(srcdir)/Makefile.am $(am__configure_deps) + @for dep in $?; do \ + case '$(am__configure_deps)' in \ + *$$dep*) \ + ( cd $(top_builddir) && $(MAKE) $(AM_MAKEFLAGS) am--refresh ) \ + && { if test -f $@; then exit 0; else break; fi; }; \ + exit 1;; \ + esac; \ + done; \ + echo ' cd $(top_srcdir) && $(AUTOMAKE) --foreign src/c/elementaryFunctions/tan/Makefile'; \ + $(am__cd) $(top_srcdir) && \ + $(AUTOMAKE) --foreign src/c/elementaryFunctions/tan/Makefile +.PRECIOUS: Makefile +Makefile: $(srcdir)/Makefile.in $(top_builddir)/config.status + @case '$?' in \ + *config.status*) \ + cd $(top_builddir) && $(MAKE) $(AM_MAKEFLAGS) am--refresh;; \ + *) \ + echo ' cd $(top_builddir) && $(SHELL) 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new file mode 100644 index 00000000..731407ee --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/tan/ctana.c @@ -0,0 +1,20 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "tan.h" + +void ctana(floatComplex* x, int size, floatComplex* y) { + int i = 0; + for (i = 0; i < size; ++i) { + y[i] = ctans(x[i]); + } +} diff --git a/2.3-1/src/c/elementaryFunctions/tan/ctans.c b/2.3-1/src/c/elementaryFunctions/tan/ctans.c new file mode 100644 index 00000000..9a6bd8c1 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/tan/ctans.c @@ -0,0 +1,45 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include <math.h> +#include "lapack.h" +#include "tan.h" +#include "sqrt.h" +#include "cos.h" +#include "sinh.h" +#include "sin.h" +#include "log.h" +#include "abs.h" + +#define localSign(x) x >= 0 ? 1.0f : -1.0f + +floatComplex ctans(floatComplex z) { + float Temp = 0.0f; + float Lim = 1.0f + slogs(2.0f / ssqrts((float) getRelativeMachinePrecision())); + float RealIn = creals(z); + float ImagIn = cimags(z); + float RealOut = 0.0f; + float ImagOut = 0.0f; + + Temp = powf(scoss(RealIn), 2.0f) + powf(ssinhs(ImagIn), 2.0f); + RealOut = 0.5f * ssins(2 * RealIn) / Temp; + if(sabss(ImagIn) < Lim) + { + ImagOut = 0.5f * ssinhs(2.0f * ImagIn) / Temp; + } + else + { + ImagOut = localSign(ImagIn); + } + + return FloatComplex(RealOut, ImagOut); +} diff --git a/2.3-1/src/c/elementaryFunctions/tan/dtana.c b/2.3-1/src/c/elementaryFunctions/tan/dtana.c new file mode 100644 index 00000000..8a5f4f68 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/tan/dtana.c @@ -0,0 +1,20 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "tan.h" + +void dtana(double* x, int size, double* y) { + int i = 0; + for (i = 0; i < size; ++i) { + y[i] = dtans(x[i]); + } +} diff --git a/2.3-1/src/c/elementaryFunctions/tan/dtans.c b/2.3-1/src/c/elementaryFunctions/tan/dtans.c new file mode 100644 index 00000000..888a2dae --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/tan/dtans.c @@ -0,0 +1,18 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include <math.h> +#include "tan.h" + +double dtans(double x) { + return tan(x); +} diff --git a/2.3-1/src/c/elementaryFunctions/tan/stana.c b/2.3-1/src/c/elementaryFunctions/tan/stana.c new file mode 100644 index 00000000..c228afe1 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/tan/stana.c @@ -0,0 +1,20 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "tan.h" + +void stana(float* x, int size, float* y) { + int i = 0; + for (i = 0; i < size; ++i) { + y[i] = stans(x[i]); + } +} diff --git a/2.3-1/src/c/elementaryFunctions/tan/stans.c b/2.3-1/src/c/elementaryFunctions/tan/stans.c new file mode 100644 index 00000000..436c32e4 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/tan/stans.c @@ -0,0 +1,18 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include <math.h> +#include "tan.h" + +float stans(float x) { + return (tanf(x)); +} diff --git a/2.3-1/src/c/elementaryFunctions/tan/testDoubleTan.c b/2.3-1/src/c/elementaryFunctions/tan/testDoubleTan.c new file mode 100644 index 00000000..33c791d5 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/tan/testDoubleTan.c @@ -0,0 +1,497 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008 - INRIA - Arnaud TORSET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "testTan.h" + +#define SOURCE {0.7062616096809506416321,0.4090520101599395275116,0.3011248558759689331055,\ +0.1880126395262777805328,0.1796709178015589714050,0.2828889950178563594818,\ +0.7232380937784910202026,0.7360379849560558795929,0.1852612206712365150452,\ +0.7703790138475596904755,0.1914967410266399383545,0.7521587223745882511139,\ +0.6205883463844656944275,0.2807604051195085048676,0.2289868686348199844360,\ +0.5049233403988182544708,0.8354099662974476814270,0.8174716415815055370331,\ +0.0030740275979042053223,0.3677616142667829990387,0.8278525872156023979187,\ +0.72754097869619727135,0.5323124285787343978882,0.9267726917751133441925,\ +0.9542504185810685157776,0.3162104780785739421845,0.5789009965956211090088,\ +0.6881225542165338993073,0.3714061146602034568787,0.1705444059334695339203,\ 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+0.2479109913110733032227,0.3891948559321463108063,0.0436578569933772087097,\ +0.8132526441477239131928,0.7686451207846403121948,0.4041520212776958942413,\ +0.8579940209165215492249,0.6993723283521831035614,0.0828925184905529022217,\ +0.9201254160143435001373,0.5200281282886862754822,0.9351884997449815273285,\ +0.8825624976307153701782,0.2245844271965324878693,0.2153332801535725593567,\ +0.4327089670114219188690,0.5800157263875007629395,0.8876141034997999668121,\ +0.5258982880041003227234,0.859640696551650762558,0.7337234076112508773804,\ +0.7134532411582767963409,0.1087165409699082374573,0.8477638359181582927704,\ +0.6594733335077762603760,0.7916418449021875858307,0.6067967480048537254334,\ +0.4102901122532784938812,0.1958728153258562088013,0.241527963895350694656,\ +0.5113455550745129585266,0.9119556057266891002655,0.0928984880447387695313,\ +0.7438839026726782321930,0.1938720373436808586121,0.4355978979729115962982,\ +0.9922429900616407394409,0.4533818070776760578156,0.8269640663638710975647,\ +0.8889675955288112163544,0.4682085178792476654053,0.3856786251999437808991,\ +0.4124865522608160972595,0.6955242282710969448090,0.0978972557932138442993,\ +0.8728604433126747608185,0.6359515609219670295715,0.4129665228538215160370,\ +0.0294486805796623229980,0.1809961968101561069489,0.7658103061839938163757,\ +0.1232470511458814144135,0.0170737411826848983765,0.8835507561452686786652,\ +0.3164170170202851295471,0.9378212536685168743134,0.3916359134018421173096,\ +0.0844073877669870853424,0.6934146797284483909607,0.4618808380328118801117,\ +0.9355291295796632766724,0.0842495900578796863556,0.5402926551178097724915,\ +0.5613215523771941661835,0.1306025832891464233398,0.5840523042716085910797,\ +0.0048661706969141960144,0.2761953338049352169037,0.7478824090212583541870,\ +0.0194325004704296588898,0.6444276878610253334045,0.2243968318216502666473,\ +0.2478402368724346160889,0.1196091384626924991608,0.1883201440796256065369,\ +0.3393343067727982997894,0.959958622232079505920,0.2847225037403404712677,\ +0.8766820700839161872864,0.2853349032811820507050,0.5103433504700660705566,\ +0.8752629184164106845856,0.5941145820543169975281,0.3945342986844480037689,\ +0.4661326166242361068726,0.0073588271625339984894,0.5170202488079667091370,\ +0.4690007264725863933563,0.6654530800879001617432,0.9476742581464350223541,\ +0.4933638339862227439880,0.2918433747254312038422,0.2016727942973375320435,\ +0.7016656589694321155548,0.8736049132421612739563,0.191055159550160169601,\ +0.5307010114192962646484,0.8889481076039373874664,0.0115523664280772209167,\ +0.4998398735187947750092,0.6700848620384931564331,0.4995208983309566974640,\ +0.1538907447829842567444,0.2571737091057002544403,0.9586529098451137542725,\ +0.6246025026775896549225,0.9371285131201148033142,0.9923511571250855922699,\ +0.3454555813223123550415,0.7558249053545296192169,0.2107181670144200325012,\ +0.9372652801685035228729,0.6767524704337120056152,0.7465373151935636997223,\ +0.4050982249900698661804,0.5101723610423505306244,0.9497965183109045028687,\ +0.0289692510850727558136,0.1634070957079529762268,0.4146909262053668498993,\ +0.0021650679409503936768,0.1810030029155313968658,0.4556188201531767845154,\ +0.1977851442061364650726,0.6053877938538789749146,0.4363054675050079822540,\ +0.8938506888225674629211,0.6104825991205871105194,0.4316215068101882934570,\ +0.2315693595446646213532,0.4675927339121699333191,0.6150764389894902706146,\ +0.8621218334883451461792,0.3846137975342571735382} + +#define RESULT {0.8530491813252144561730,0.4335045992710032103368,0.3105691712500722179158,\ +0.1902597554084684006170,0.1816295703181560194928,0.2906848138476661458363,\ +0.8828132281173867168533,0.9058504084575731418738,0.1874102230574337113467,\ +0.9704039825071290037428,0.193872386487773856745,0.9356368085981127125095,\ +0.7147975865621483126944,0.2883777870673323029394,0.233074941053011769343,\ +0.5527124758136455762170,1.1053818146408691536209,1.0662960354617996294735,\ +0.0030740372807646679752,0.3852902674825339213172,1.0887291048642380175693,\ +0.8904988483295813717078,0.589027514944382324380,1.3318828819928720808008,\ +1.4110197782284186196478,0.3271889768526293207351,0.6535988324182537834162,\ +0.8221846610900451768345,0.3894816929387301396304,0.1722173220386573888607,\ +0.1979631660252146874157,1.4871003608159341080608,1.3409392796872054987034,\ +0.5936969391438152721108,0.4165742349308056979851,0.1353038396146245825324,\ +0.9095411562053630216695,0.666828524289825752547,1.2898724607003566600127,\ +0.6385394321030002373618,0.1132420646312260748001,1.3920395973271377787484,\ +0.5775879319584731330650,1.058934135979150648055,0.141019050913288951365,\ +0.2836009152345423944830,1.2757925164705434806223,0.1388727177433937698403,\ +0.6274844177211460483079,0.3102799593553379198241,0.5164764951302321938087,\ +1.0562428612021228513385,0.2015041286208432702587,0.1112509099475587071026,\ +0.2193551393571971375174,0.7550487488328985197228,0.7757652108685924030596,\ +0.0693004223106622879724,1.3037037706937266712259,1.1699705921283873877314,\ +0.550576129776577216646,0.1852916762694652719201,1.1164629082914852009623,\ +1.3262085052804502005586,0.7183647379901514362643,0.2847210542962326229599,\ +0.2531178933037822043062,0.4101140401836267934677,0.0436856155719798008863,\ +1.0573204171612526902635,0.9670429620877326604145,0.4276960657258361830913,\ +1.156854335998896532445,0.8412159741625684361566,0.0830828979444599852178,\ +1.3136054718047147638060,0.5725991803557812787062,1.355492790615370424234,\ +1.2159959299593459114419,0.2284380696339281535678,0.2187244120791704826701,\ +0.4619038629088654257515,0.6551909258647544698206,1.228594570395200147317,\ +0.5804203670779729540286,1.1607121297665823345113,0.9016453790519162181383,\ +0.8655510240366158791758,0.1091468929729377396187,1.133211951033040509884,\ +0.7752613593928633362040,1.0125659843026109108166,0.6941614960626277808231,\ +0.4349761638068749824981,0.1984168266250701806452,0.2463367776963759914199,\ +0.5611266025781723732,1.2915741173940875619053,0.0931666557927946503703,\ +0.9202369550199469561136,0.1963381019951347117303,0.4654138557801037467954,\ +1.531152598161082067918,0.4872328317068129743817,1.0867892686527245160732,\ +1.231996743210198141938,0.5057142067082607272965,0.4060123002390389479466,\ +0.4375906817398340642455,0.8346659585500807443381,0.0982112043307575288686,\ +1.1922276352973026902760,0.7382700256000707117465,0.4381626799731911381386,\ +0.0294571964089862109448,0.1829988997674065476229,0.9615720911131384607273,\ +0.1238749003414561927761,0.0170754004466078072866,1.2184484210758381728112,\ +0.3274176417863428056876,1.3629896342945482246023,0.4129685310508503515159,\ +0.0846084171803287293789,0.8310930423770829245100,0.4977934831990530883950,\ +1.3564597268158093967827,0.0844494919835185042789,0.5998275037194918946071,\ +0.6287920720664262885791,0.1313502491565903540494,0.6609756367352789263592,\ +0.0048662091069645377339,0.2834395431640467921675,0.9276488528261589427970,\ +0.0194349468870056892034,0.7514487870197579244547,0.2282406932471093830017,\ +0.2530426070707028074480,0.1201828114589197499251,0.1905784099029704803385,\ +0.352988062986135442411,1.428231701456014857143,0.2926743123472941854324,\ +1.2015237487616485800856,0.2933392882321691486069,0.5598095809652490206787,\ +1.1980617264883439698764,0.6755313107918682336006,0.4163652909127465440164,\ +0.5031101302799753094419,0.0073589599979746594949,0.5686119631638693050491,\ +0.5067094190821778143530,0.7848798186452353720100,1.391531190313842980544,\ +0.5377167840923406938458,0.3004214213647905529214,0.2044521595617958820146,\ +0.8451397437154636316237,1.1940319015577840477960,0.1934142466999154985619,\ +0.5868590674474564172769,1.2319476773796440571829,0.0115528803708900857511,\ +0.5460945923736312268559,0.792392311128046200608,0.5456805647330320585553,\ +0.1551171962759635702955,0.2629975069837691137309,1.4242699230594764170377,\ +0.7208802037485926295091,1.3610118285291581408103,1.5315144150725372718114,\ +0.3598870449025589057790,0.9425361247426047306419,0.2138933525822492576207,\ +1.3614020090881830959972,0.8033042279594378998198,0.925149379458894971506,\ +0.4288158062140490778269,0.5595850272060393093554,1.397781375537582970736,\ +0.0289773576405878592610,0.1648772252909011803990,0.4402197018088547242343,\ +0.0021650713238892428658,0.1830059338084651376910,0.4900039273308094966986,\ +0.2004051993228692374327,0.6920756616600035604492,0.4662749757103929471036,\ +1.244365984627544330365,0.6996374475054760733173,0.4605850493651166277509,\ +0.2357993689411847226811,0.5049411785573922895054,0.7065020490746397596737,\ +1.16655281751026174142,0.4047724755535024310227} + +#define ZSOURCER {0.6045256052166223526001,0.9455216196365654468536,0.4476299257948994636536,\ +0.8624908211641013622284,0.1751048639416694641113,0.2067177616991102695465,\ +0.6848411662504076957703,0.1348653226159512996674,0.0069159921258687973022,\ +0.1496290047653019428253,0.5665438110008835792542,0.4359452719800174236298,\ +0.6547604538500308990479,0.3381605879403650760651,0.4259321158751845359802,\ +0.3060420057736337184906,0.7704779822379350662231,0.7058695447631180286408,\ +0.2373670237138867378235,0.8205849635414779186249,0.6789963841438293457031,\ +0.5250809141434729099274,0.3359806565567851066589,0.8941988362930715084076,\ +0.5461782198399305343628,0.7568633262999355792999,0.0259526828303933143616,\ +0.3250150899402797222138,0.6072143577039241791,0.8756139636971056461334,\ +0.2962085595354437828064,0.4229678637348115444183,0.4243144039064645767212,\ +0.7620028969831764698029,0.3622896494343876838684,0.5658242437057197093964,\ +0.6424440070986747741699,0.7580267959274351596832,0.2531452132388949394226,\ +0.5266989110969007015228,0.2118590380996465682983,0.4779220153577625751495,\ +0.1615962767973542213440,0.9168031658045947551727,0.5461866445839405059815,\ +0.4686870560981333255768,0.7772213732823729515076,0.5871783248148858547211,\ +0.5848031807690858840942,0.3139644009061157703400,0.3204141603782773017883,\ +0.3331634956412017345429,0.2282590121030807495117,0.2750317254103720188141,\ +0.4963629124686121940613,0.7453477247618138790131,0.1155001949518918991089,\ +0.0626524840481579303741,0.0877018878236413002014,0.5507565210573375225067,\ +0.2116370312869548797607,0.8335358710028231143951,0.4045845707878470420837,\ +0.2880227542482316493988,0.1750094983726739883423,0.0051561561413109302521,\ +0.3109287889674305915833,0.6602919283322989940643,0.9722995534539222717285,\ +0.9826813959516584873200,0.0455837054178118705750,0.4096118300221860408783,\ +0.7104403134435415267944,0.3917615194804966449738,0.5571686858311295509338,\ +0.0565565521828830242157,0.1540721096098423004150,0.9109257892705500125885,\ +0.5713340407237410545349,0.3488348922692239284515,0.8972954172641038894653,\ +0.2973396372981369495392,0.1091936426237225532532,0.7626331257633864879608,\ +0.6584706604480743408203,0.6996708759106695652008,0.6756794182583689689636,\ +0.9004421546123921871185,0.6668148916214704513550,0.8518152837641537189484,\ +0.8365677157416939735413,0.1291190306656062602997,0.6095453463494777679443,\ +0.2412315667606890201569,0.4029275467619299888611,0.3019328541122376918793,\ +0.1083198729902505874634,0.8456356939859688282013,0.9417407037690281867981,\ +0.9083450469188392162323,0.1937242373824119567871,0.5318046086467802524567,\ +0.8314437521621584892273,0.4952740012668073177338,0.7465563025325536727905,\ +0.7102393140085041522980,0.5811418974772095680237,0.7035941029898822307587,\ +0.3746570833027362823486,0.3394373343326151371002,0.6322447275742888450623,\ +0.7636191300116479396820,0.6940386760979890823364,0.8735245508141815662384,\ +0.3612738298252224922180,0.7933200257830321788788,0.4830590635538101196289,\ +0.2469964125193655490875,0.5025922833010554313660,0.7430270477198064327240,\ +0.6783937942236661911011,0.4903185223229229450226,0.709806025959551334381,\ +0.3303662906400859355927,0.6815545372664928436279,0.0701365978457033634186,\ +0.4745870968326926231384,0.8091805852018296718597,0.9447045121341943740845,\ +0.5478458073921501636505,0.1216687532141804695129,0.9161847713403403759003,\ +0.3045207932591438293457,0.6502694808878004550934,0.0987624628469347953796,\ +0.8391053467057645320892,0.0328534897416830062866,0.3461971958167850971222,\ +0.2801467711105942726135,0.5500544901005923748016,0.0729318000376224517822,\ +0.0225322381593286991119,0.50267804320901632309,0.3478884599171578884125,\ +0.4298669416457414627075,0.3537984383292496204376,0.0529730813577771186829,\ +0.9533003675751388072968,0.1842019557952880859375,0.958756382111459970474,\ +0.3245136169716715812683,0.0003973259590566158295,0.0972583871334791183472,\ +0.4378789965994656086,0.3634226778522133827210,0.2685119728557765483856,\ +0.2770298384130001068115,0.8854365111328661441803,0.5216628303751349449158,\ +0.4979983693920075893,0.8733724001795053482056,0.4699407932348549365997,\ +0.9364062966778874397278,0.1337622734718024730682,0.2712419554591178894043,\ +0.1766990595497190952301,0.0543269468471407890320,0.8402757882140576839447,\ +0.7507283594459295272827,0.3062269617803394794464,0.9195641661062836647034,\ +0.1318263853900134563446,0.0826364941895008087158,0.8222710476256906986237,\ +0.4441085970029234886169,0.9617503038607537746429,0.0283641982823610305786,\ +0.1431905967183411121368,0.3793597565963864326477,0.6144003230147063732147,\ +0.2128270715475082397461,0.4704488315619528293610,0.2076055286452174186707,\ +0.7435979112051427364349,0.3391801547259092330933,0.2479635034687817096710,\ +0.6721735307946801185608,0.9013197491876780986786,0.2140864841639995574951,\ +0.8460668534971773624420,0.1650043567642569541931,0.4003686285577714443207,\ +0.5522825215011835098267,0.0638249483890831470490,0.6903966935351490974426,\ +0.8547787251882255077362,0.0291904583573341369629,0.5434663915075361728668,\ +0.6236743135377764701843,0.2417052476666867733002} + +#define ZSOURCEI {0.5503273960202932357788,0.6906704087741672992706,0.9835249418392777442932,\ +0.8285484607331454753876,0.2062614001333713531494,0.1944643096067011356354,\ +0.4367609983310103416443,0.8090620837174355983734,0.8818644303828477859497,\ +0.7404803228564560413361,0.7542522149160504341126,0.9921960639767348766327,\ +0.9886121451854705810547,0.0113218077458441257477,0.9367801276966929435730,\ +0.3874237253330647945404,0.2886805813759565353394,0.567788839805871248245,\ +0.7295644441619515419006,0.0303032915107905864716,0.2795897088944911956787,\ +0.7047131718136370182037,0.7442112853750586509705,0.8920237845741212368012,\ +0.1081438604742288589478,0.8751525697298347949982,0.9068333031609654426575,\ +0.2166852983646094799042,0.4824190363287925720215,0.7766945236362516880035,\ +0.4510916722938418388367,0.1300636469386518001556,0.5505470838397741317749,\ +0.6936193336732685565949,0.1749099576845765113831,0.8636093880049884319305,\ +0.2150467522442340850830,0.1886725709773600101471,0.1796098565682768821716,\ 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+0.0268517597578465938568,0.2591186594218015670776,0.4641277943737804889679,\ +0.6098861405625939369202,0.0656952331773936748505,0.6466812007129192352295,\ +0.1018534512259066104889,0.2742705782875418663025,0.8162728524766862392426,\ +0.3357750270515680313110,0.4765891996212303638458,0.8440040023997426033020,\ +0.1785074654035270214081,0.5855625644326210021973,0.8426241897977888584137,\ +0.7058847947046160697937,0.7396617024205625057221,0.9751448985189199447632,\ +0.7606669445522129535675,0.8236690396443009376526,0.8889620001427829265595,\ +0.7960178293287754058838,0.3052428201772272586823,0.6803312664851546287537,\ +0.6412069997750222682953,0.0988248009234666824341,0.4654508423991501331329,\ +0.6714970665052533149719,0.5131103205494582653046,0.8631567060947418212891,\ +0.8328299173153936862946,0.1687975851818919181824,0.2961277081631124019623,\ +0.2591485660523176193237,0.1700844173319637775421,0.9718958893790841102600,\ +0.0695185582153499126434,0.4696230851113796234131,0.9544191421009600162506,\ +0.3679352095350623130798,0.2973918146453797817230,0.0415310803800821304321,\ +0.4892336544580757617950,0.5171590568497776985169,0.3534862431697547435761,\ +0.2354387864470481872559,0.6779259913600981235504,0.3834532154724001884460,\ +0.3174350797198712825775,0.3418120350688695907593,0.0535557498224079608917,\ +0.9285596096888184547424,0.3862650538794696331024,0.4328473098576068878174,\ +0.1581165478564798831940,0.7887120461091399192810,0.7448797873221337795258,\ +0.5185996759682893753052,0.8651678604073822498322,0.1524438308551907539368,\ +0.2392775672487914562225,0.5761575847864151000977,0.7395762302912771701813,\ +0.0583172617480158805847,0.6962534948252141475678,0.4206145536154508590698,\ +0.0281158541329205036163,0.8313249954953789710999,0.2333360086195170879364,\ +0.8865877203643321990967,0.3746785433031618595123,0.87671328987926244736,\ +0.4027077830396592617035,0.2890332732349634170532,0.8538430598564445972443,\ +0.5499771209433674812317,0.5128610017709434032440,0.6321087554097175598145,\ +0.4165538274683058261871,0.3217771751806139945984,0.9717370062135159969330,\ +0.5348322447389364242554,0.3416590173728764057159,0.9565287167206406593323,\ +0.9951003189198672771454,0.3422884084284305572510,0.7870580093003809452057,\ +0.9234123295173048973084,0.5238970420323312282562} + +#define ZRESULTR {0.4622549506274005182149,0.52703543104286754151,0.1827556517526441881572,\ +0.3854184255425531224759,0.1693791983359425601385,0.2016515153621968869935,\ +0.6100517388487384229379,0.0743340542544716487150,0.0034555684806514769605,\ +0.0902156984479902251950,0.3241135973562218053345,0.1760110212342378688266,\ +0.2452633832131958513401,0.3516179963878625636120,0.1885474403955421374146,\ +0.2692513911062309750477,0.8321367071581778906975,0.5264631357733180472280,\ +0.1448019483693787634593,1.0708552390146606203558,0.7125992289896019293849,\ +0.3253494174977278885486,0.2001345889867806593365,0.343199696050296210181,\ +0.5982400693418048476246,0.3303593637710269814711,0.0125118697596118978038,\ +0.3199717638395740970658,0.5061472843217617034739,0.4295842023027047207329,\ +0.2465282516242081889413,0.441112206343829249544,0.3219119603275076846316,\ +0.4595743499683106469966,0.3660794615870797685808,0.2720878846188879984780,\ +0.6972660654407580871350,0.8861718442431221198774,0.2499974132956042649489,\ +0.4568598941148580561134,0.1097116340955419794279,0.2836394335106861008811,\ +0.0888432657814137161090,1.2330526748467487418992,0.2488174581727523593244,\ +0.4160762578947443945943,0.9833017375902159962209,0.3688379479484371614717,\ +0.5845995722843282393910,0.3179368621558099627933,0.1652197278936747004696,\ +0.3133619394599517771205,0.2199213980004723900663,0.150759611907827051347,\ +0.4771998617931776376366,0.4525965638532219448287,0.1138559184839921800680,\ +0.0472861014102091622990,0.0790630167394415495075,0.5814611436078345185763,\ +0.1667238962880819019841,0.6920944670661310915705,0.1906861485587098559158,\ +0.1307919466930784202496,0.1574308648240616004266,0.0036575163164140646332,\ +0.2674520780172894851567,0.6735689731298903915047,0.378774827327838792268,\ +0.8834054385824835486929,0.0452439501756518244746,0.2447083220521515389834,\ +0.7633578523125562620422,0.2078243181020067997800,0.5055052026142557997090,\ +0.0245040445592060660007,0.1414831146311008314154,1.2738839652002900137973,\ +0.3722074374977639710238,0.2046196449929307825677,1.143222534499549469800,\ +0.1658122283683383380026,0.0812521009905448621247,0.8856778536505196530726,\ +0.3496455120553698669994,0.8287603905975037266174,0.4374379182437952429119,\ +0.3632754548631693114480,0.4065565887334736672187,0.4042071334744706256892,\ +0.3223163664494689273354,0.0887658719864259648791,0.2562423384997916109285,\ +0.1135016065651749256338,0.4249393631867034448746,0.2555315607462380622650,\ +0.0473167224981555015195,0.4038863981107233547263,0.3812800945055046519805,\ +1.2694612396144742128001,0.1054006198029389801407,0.5548755616229488207836,\ +0.9047138472187979951755,0.2120875774680325287491,0.2977497737582537329359,\ +0.3793852632159244175902,0.4216852391721442327999,0.7719661269702553507699,\ +0.2909766448133100369411,0.3530800537032807717708,0.3144419867733496687379,\ +0.9560423318471079623393,0.7455173297127551945707,0.7647697575929581770282,\ +0.2552307563419532465687,1.0071246904841177904899,0.3254058309317561237251,\ +0.2493837937457981657197,0.4995060266703120754883,0.3635478722517977989703,\ +0.6755663854502449439110,0.4060422219779377672744,0.3354119513743121228089,\ +0.3310200365444659897918,0.4956952069626366363941,0.0369899619573449203735,\ 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+0.3200337217432840941633,0.1160441175011530240413,0.2289284118436291093346,\ +0.1740340532494602521219,0.0308192365918868102503,0.4474996159504823212139,\ +0.601992209828681956729,0.1542000078067730650666,1.2334589409579821417395,\ +0.1251630868814269104128,0.0603288006292757861271,0.4462414520672394746548,\ +0.4738309669088760500699,0.5239025685810345667193,0.0238870191275340100490,\ +0.1440610501660575526461,0.1990046768508525187880,0.6514000598731057856128,\ +0.1047897932784156715957,0.429099188123020058860,0.1037294840964696623908,\ +0.6989271583573236634734,0.3217396834648525993927,0.1276324483471362458698,\ +0.51478179757014652651,0.7241126844123151329313,0.1471790945486320945079,\ +0.7963244963417922539506,0.1499982428024713432269,0.1685430842340138735125,\ +0.4298103979039861188838,0.0569704807929593617932,0.2690745622378380996764,\ +0.2759880123858853839813,0.0260258640811948625815,0.2968457197721043328009,\ +0.2658449701658989750008,0.1869340145100120420540} + +#define ZRESULTI {0.6606731609576530495076,1.0352924413907944600766,0.8208009210718538728457,\ +0.9855228198847613141354,0.2094799364238341676803,0.2001711092576675676824,\ +0.6157063400955946619320,0.6758210089185754387842,0.7073690227519786599686,\ +0.6379959312114483749312,0.7691489792855270568595,0.8204717538076390370705,\ +0.8992691795054111869590,0.0127212399656787735619,0.7965072880961274748302,\ +0.4005414846539865347808,0.5078102333041875082742,0.7442675929748912011519,\ +0.6446164613619681515999,0.0651017559751383007027,0.4292463160345246220295,\ +0.7218268661973539224164,0.675831849442214971369,1.016847265460205207432,\ +0.1468976923106849463707,0.923642083424730087060,0.7198425877508842773977,\ +0.2363604106893440193193,0.6057859843456331327971,0.9859934125773722746189,\ +0.4546059235344489524167,0.1550160776744255175519,0.5737784438019621902072,\ +0.8635696530908816281880,0.1971722712896061546761,0.8187472766310414096225,\ +0.3223047939566238695441,0.3428986541358745587793,0.1891956718334251719149,\ +0.5208354545548833369750,0.7081524694874962166935,0.7203267007574796210179,\ +0.6794103936977667901331,0.3782115660166653348107,0.8246286245352181243362,\ +0.4645139855543011786487,0.0308839406628786498910,0.7450942218464524646748,\ +0.4028312748892641792509,0.1516356705950959171680,0.7277735925258916882541,\ +0.3236400086381776008970,0.2367328033923032648556,0.6968150511733807173087,\ +0.3868027398676305850245,0.8499965389936866566600,0.1373663005352325217068,\ +0.4969728656393965771088,0.3186158192908606912042,0.2687494032146487410451,\ +0.4817044586911616854685,0.8091241454316642212064,0.7745837276131475324092,\ +0.7616864033669616951272,0.3357065002058312042088,0.5391311137157557276112,\ +0.4267832806356777752832,0.4494653959304828472199,1.07409232431056356205,\ +0.9773946189840253540027,0.0903205143448218145119,0.6947943813727951445358,\ +0.4320600869989819070582,0.7345738223824911372617,0.4980076917918512258154,\ +0.753646277499480543582,0.3015650137112788620186,0.1750320030662110004638,\ +0.7223173121894863601966,0.6855367528648522723600,0.4620100861135144620917,\ +0.6944021533252422440086,0.5110335784375538148439,0.3672451576697671193905,\ +0.8344551064956932107108,0.16170594539219715347,0.7832786921268890534265,\ +1.0189285776822756268700,0.7988551639208606447440,0.9719247807905779801274,\ +0.9809763387972041392970,0.5656833224514162816732,0.8638733429144607178785,\ +0.7441066604777042403640,0.0602264440127683667314,0.4402801210484636462716,\ +0.7535199884397705272221,0.9667811691361050119298,1.0493588871220529412653,\ +0.1602121578348635611011,0.6872528304663769738170,0.2746926003887739664577,\ +0.5904217499472341756928,0.8227770718789775283852,0.9300490141104427177510,\ +0.8608967966610167055208,0.6761042332942854837796,0.3862514929365022942065,\ +0.5383206023328632738867,0.0087209580621782408633,0.8379947814437334052684,\ +0.0514162894427564812205,0.4107196425718538934646,0.8291800128662117908007,\ +0.5965153474380232578866,0.1327243053149035900695,0.6666204349503430659496,\ +0.1078852700862242136592,0.3410661266092010479589,0.8978136284012265821986,\ +0.4999590426790496699994,0.5396356462900459005638,0.8861720904164178680418,\ +0.1966865820582558155305,0.7384948934734244518907,0.6889822634082830576929,\ +0.7002461629632836803694,0.9202927678328401972507,1.0522470356995357043672,\ +0.7633410819201092989417,0.6825068129840573538658,1.032180426666563732852,\ +0.6970224139462883883311,0.4448502829538992786596,0.5954971038562514307202,\ +0.9072269118636318019355,0.0986096977623509007849,0.4792818549998886235031,\ +0.6169344532127701841162,0.5996614784596430158814,0.6997864810760641152143,\ +0.6821778350957495851148,0.2159298191152681511973,0.3221001280586711645881,\ +0.3026923795099815683862,0.1907050596442291245936,0.7504581695080775327611,\ +0.2050797642560421019109,0.4500993401191650811200,1.0616552076870116039231,\ +0.3866139253948813192530,0.2889239979563678062391,0.0419016457354280461023,\ +0.5291730503201013124937,0.5270449613735276317428,0.3620065401137618765759,\ +0.2487989439191494456249,0.9684607851607960338214,0.4659312790851565244665,\ +0.3871941948924775833696,0.6912156199525602007228,0.0672566496597855195683,\ +1.0473726182255131966770,0.3738845568372618499708,0.4336537904037139901092,\ +0.1616849585723995341713,0.6587810404999043800700,0.9478245114156004236250,\ +0.7443033774708265326581,0.7329852502477968156924,0.3960943016785423709258,\ +0.2387102372514374737378,0.5224647164810142241365,0.9310236182750510902650,\ +0.0713841738247450452448,1.0541437904171060413461,0.3977173917051313734028,\ +0.0286922698814963753056,0.7352303476692350070465,0.3345177682401353491670,\ +0.7257755336052617023412,0.4362132495206523241649,0.7201678840265979264501,\ +0.6279860575277228518232,0.3131701555376726897606,0.7154672057942548235587,\ +0.7055403294219286802758,0.90419581128384973745,0.5774063124958943582499,\ +0.748377680093745611956,0.3188837788675313866804,0.8029276503063254022408,\ +0.6186055293635583929301,0.3301554535865592887589,0.907799805701633655275,\ +1.0004593122932974313954,0.3297692664500386783288,0.774518614973831232007,\ +0.8666563831612021928663,0.5028547740750087813311} + + + + +void dtansTest(void) { + double in[]=SOURCE; + double res[]=RESULT; + double out; + int i; + + for (i=0;i<200;i++){ + out=dtans(in[i]); + assert(( (fabs(out-res[i]))/(fabs(out)) )<3e-16); + } +} + +void ztansTest(void) { + double inR[]=ZSOURCER; + double inI[]=ZSOURCEI; + double resR[]=ZRESULTR; + double resI[]=ZRESULTI; + doubleComplex in,out; + int i; + + for (i=0;i<200;i++){ + in=DoubleComplex(inR[i],inI[i]); + out=ztans(in); + assert(( (fabs(zreals(out)-resR[i]))/(fabs(zreals(out))) )<3e-15); + assert(( (fabs(zimags(out)-resI[i]))/(fabs(zimags(out))) )<3e-15); + } +} + +void dtanaTest(void) { + double in[]=SOURCE; + double res[]=RESULT; + double out[200]; + int i; + + dtana(in,200,out); + for (i=0;i<200;i++){ + assert(( (fabs(out[i]-res[i]))/(fabs(out[i])) )<1e-16); + } +} + +void ztanaTest(void) { + double inR[]=ZSOURCER; + double inI[]=ZSOURCEI; + double resR[]=ZRESULTR; + double resI[]=ZRESULTI; + doubleComplex *in,out[200]; + int i; + + + in=DoubleComplexMatrix(inR,inI,200); + ztana(in,200,out); + + for (i=0;i<200;i++){ + assert(( (fabs(zreals(out[i])-resR[i]))/(fabs(zreals(out[i]))) )<3e-15); + assert(( (fabs(zimags(out[i])-resI[i]))/(fabs(zimags(out[i]))) )<3e-15); + } +} + +int testTan() { + printf("\n>>>> Double Tangeant Tests\n"); + dtansTest(); + ztansTest(); + dtanaTest(); + ztanaTest(); + + return 0; +} + +int main() { + assert(testTan() == 0); + return 0; +} diff --git a/2.3-1/src/c/elementaryFunctions/tan/testFloatTan.c b/2.3-1/src/c/elementaryFunctions/tan/testFloatTan.c new file mode 100644 index 00000000..4b487887 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/tan/testFloatTan.c @@ -0,0 +1,495 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008 - INRIA - Arnaud TORSET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "testTan.h" + +#define SOURCE {0.7062616096809506416321f,0.4090520101599395275116f,0.3011248558759689331055f,\ +0.1880126395262777805328f,0.1796709178015589714050f,0.2828889950178563594818f,\ +0.7232380937784910202026f,0.7360379849560558795929f,0.1852612206712365150452f,\ +0.7703790138475596904755f,0.1914967410266399383545f,0.7521587223745882511139f,\ +0.6205883463844656944275f,0.2807604051195085048676f,0.2289868686348199844360f,\ +0.5049233403988182544708f,0.8354099662974476814270f,0.8174716415815055370331f,\ +0.0030740275979042053223f,0.3677616142667829990387f,0.8278525872156023979187f,\ +0.72754097869619727135f,0.5323124285787343978882f,0.9267726917751133441925f,\ +0.9542504185810685157776f,0.3162104780785739421845f,0.5789009965956211090088f,\ +0.6881225542165338993073f,0.3714061146602034568787f,0.1705444059334695339203f,\ +0.1954363007098436355591f,0.978800852317363023758f,0.9300233917310833930969f,\ +0.5357720064930617809296f,0.3947123587131500244141f,0.1344871171750128269196f,\ +0.7380615202710032463074f,0.588114650454372167587f,0.9113173168152570724487f,\ +0.5682763461954891681671f,0.1127616921439766883850f,0.9478473584167659282684f,\ +0.5237770043313503265381f,0.8140139640308916568756f,0.1400952627882361412048f,\ +0.2763446993194520473480f,0.9059953633695840835571f,0.1379901585169136524200f,\ +0.5603838684037327766419f,0.3008610638789832592011f,0.4767417535185813904f,\ +0.8127435916103422641754f,0.1988414181396365165710f,0.1107953130267560482025f,\ +0.2159351315349340438843f,0.6467244853265583515167f,0.6597879612818360328674f,\ +0.0691898013465106487274f,0.9164751060307025909424f,0.8635670826770365238190f,\ +0.5032854294404387474060f,0.1832137755118310451508f,0.8403698671609163284302f,\ +0.9247214836068451404572f,0.6229452537372708320618f,0.2773811477236449718475f,\ +0.2479109913110733032227f,0.3891948559321463108063f,0.0436578569933772087097f,\ +0.8132526441477239131928f,0.7686451207846403121948f,0.4041520212776958942413f,\ +0.8579940209165215492249f,0.6993723283521831035614f,0.0828925184905529022217f,\ +0.9201254160143435001373f,0.5200281282886862754822f,0.9351884997449815273285f,\ +0.8825624976307153701782f,0.2245844271965324878693f,0.2153332801535725593567f,\ +0.4327089670114219188690f,0.5800157263875007629395f,0.8876141034997999668121f,\ +0.5258982880041003227234f,0.859640696551650762558f,0.7337234076112508773804f,\ +0.7134532411582767963409f,0.1087165409699082374573f,0.8477638359181582927704f,\ +0.6594733335077762603760f,0.7916418449021875858307f,0.6067967480048537254334f,\ +0.4102901122532784938812f,0.1958728153258562088013f,0.241527963895350694656f,\ +0.5113455550745129585266f,0.9119556057266891002655f,0.0928984880447387695313f,\ +0.7438839026726782321930f,0.1938720373436808586121f,0.4355978979729115962982f,\ +0.9922429900616407394409f,0.4533818070776760578156f,0.8269640663638710975647f,\ +0.8889675955288112163544f,0.4682085178792476654053f,0.3856786251999437808991f,\ +0.4124865522608160972595f,0.6955242282710969448090f,0.0978972557932138442993f,\ +0.8728604433126747608185f,0.6359515609219670295715f,0.4129665228538215160370f,\ +0.0294486805796623229980f,0.1809961968101561069489f,0.7658103061839938163757f,\ +0.1232470511458814144135f,0.0170737411826848983765f,0.8835507561452686786652f,\ +0.3164170170202851295471f,0.9378212536685168743134f,0.3916359134018421173096f,\ +0.0844073877669870853424f,0.6934146797284483909607f,0.4618808380328118801117f,\ +0.9355291295796632766724f,0.0842495900578796863556f,0.5402926551178097724915f,\ +0.5613215523771941661835f,0.1306025832891464233398f,0.5840523042716085910797f,\ +0.0048661706969141960144f,0.2761953338049352169037f,0.7478824090212583541870f,\ +0.0194325004704296588898f,0.6444276878610253334045f,0.2243968318216502666473f,\ +0.2478402368724346160889f,0.1196091384626924991608f,0.1883201440796256065369f,\ +0.3393343067727982997894f,0.959958622232079505920f,0.2847225037403404712677f,\ +0.8766820700839161872864f,0.2853349032811820507050f,0.5103433504700660705566f,\ +0.8752629184164106845856f,0.5941145820543169975281f,0.3945342986844480037689f,\ +0.4661326166242361068726f,0.0073588271625339984894f,0.5170202488079667091370f,\ +0.4690007264725863933563f,0.6654530800879001617432f,0.9476742581464350223541f,\ +0.4933638339862227439880f,0.2918433747254312038422f,0.2016727942973375320435f,\ +0.7016656589694321155548f,0.8736049132421612739563f,0.191055159550160169601f,\ +0.5307010114192962646484f,0.8889481076039373874664f,0.0115523664280772209167f,\ +0.4998398735187947750092f,0.6700848620384931564331f,0.4995208983309566974640f,\ +0.1538907447829842567444f,0.2571737091057002544403f,0.9586529098451137542725f,\ +0.6246025026775896549225f,0.9371285131201148033142f,0.9923511571250855922699f,\ +0.3454555813223123550415f,0.7558249053545296192169f,0.2107181670144200325012f,\ +0.9372652801685035228729f,0.6767524704337120056152f,0.7465373151935636997223f,\ +0.4050982249900698661804f,0.5101723610423505306244f,0.9497965183109045028687f,\ +0.0289692510850727558136f,0.1634070957079529762268f,0.4146909262053668498993f,\ +0.0021650679409503936768f,0.1810030029155313968658f,0.4556188201531767845154f,\ +0.1977851442061364650726f,0.6053877938538789749146f,0.4363054675050079822540f,\ +0.8938506888225674629211f,0.6104825991205871105194f,0.4316215068101882934570f,\ +0.2315693595446646213532f,0.4675927339121699333191f,0.6150764389894902706146f,\ +0.8621218334883451461792f,0.3846137975342571735382f} + +#define RESULT {0.8530491813252144561730f,0.4335045992710032103368f,0.3105691712500722179158f,\ +0.1902597554084684006170f,0.1816295703181560194928f,0.2906848138476661458363f,\ +0.8828132281173867168533f,0.9058504084575731418738f,0.1874102230574337113467f,\ +0.9704039825071290037428f,0.193872386487773856745f,0.9356368085981127125095f,\ +0.7147975865621483126944f,0.2883777870673323029394f,0.233074941053011769343f,\ +0.5527124758136455762170f,1.1053818146408691536209f,1.0662960354617996294735f,\ +0.0030740372807646679752f,0.3852902674825339213172f,1.0887291048642380175693f,\ +0.8904988483295813717078f,0.589027514944382324380f,1.3318828819928720808008f,\ +1.4110197782284186196478f,0.3271889768526293207351f,0.6535988324182537834162f,\ +0.8221846610900451768345f,0.3894816929387301396304f,0.1722173220386573888607f,\ +0.1979631660252146874157f,1.4871003608159341080608f,1.3409392796872054987034f,\ +0.5936969391438152721108f,0.4165742349308056979851f,0.1353038396146245825324f,\ +0.9095411562053630216695f,0.666828524289825752547f,1.2898724607003566600127f,\ +0.6385394321030002373618f,0.1132420646312260748001f,1.3920395973271377787484f,\ +0.5775879319584731330650f,1.058934135979150648055f,0.141019050913288951365f,\ +0.2836009152345423944830f,1.2757925164705434806223f,0.1388727177433937698403f,\ +0.6274844177211460483079f,0.3102799593553379198241f,0.5164764951302321938087f,\ +1.0562428612021228513385f,0.2015041286208432702587f,0.1112509099475587071026f,\ +0.2193551393571971375174f,0.7550487488328985197228f,0.7757652108685924030596f,\ +0.0693004223106622879724f,1.3037037706937266712259f,1.1699705921283873877314f,\ +0.550576129776577216646f,0.1852916762694652719201f,1.1164629082914852009623f,\ +1.3262085052804502005586f,0.7183647379901514362643f,0.2847210542962326229599f,\ +0.2531178933037822043062f,0.4101140401836267934677f,0.0436856155719798008863f,\ +1.0573204171612526902635f,0.9670429620877326604145f,0.4276960657258361830913f,\ +1.156854335998896532445f,0.8412159741625684361566f,0.0830828979444599852178f,\ +1.3136054718047147638060f,0.5725991803557812787062f,1.355492790615370424234f,\ +1.2159959299593459114419f,0.2284380696339281535678f,0.2187244120791704826701f,\ +0.4619038629088654257515f,0.6551909258647544698206f,1.228594570395200147317f,\ +0.5804203670779729540286f,1.1607121297665823345113f,0.9016453790519162181383f,\ +0.8655510240366158791758f,0.1091468929729377396187f,1.133211951033040509884f,\ +0.7752613593928633362040f,1.0125659843026109108166f,0.6941614960626277808231f,\ +0.4349761638068749824981f,0.1984168266250701806452f,0.2463367776963759914199f,\ +0.5611266025781723732f,1.2915741173940875619053f,0.0931666557927946503703f,\ +0.9202369550199469561136f,0.1963381019951347117303f,0.4654138557801037467954f,\ +1.531152598161082067918f,0.4872328317068129743817f,1.0867892686527245160732f,\ +1.231996743210198141938f,0.5057142067082607272965f,0.4060123002390389479466f,\ +0.4375906817398340642455f,0.8346659585500807443381f,0.0982112043307575288686f,\ +1.1922276352973026902760f,0.7382700256000707117465f,0.4381626799731911381386f,\ +0.0294571964089862109448f,0.1829988997674065476229f,0.9615720911131384607273f,\ +0.1238749003414561927761f,0.0170754004466078072866f,1.2184484210758381728112f,\ +0.3274176417863428056876f,1.3629896342945482246023f,0.4129685310508503515159f,\ +0.0846084171803287293789f,0.8310930423770829245100f,0.4977934831990530883950f,\ +1.3564597268158093967827f,0.0844494919835185042789f,0.5998275037194918946071f,\ +0.6287920720664262885791f,0.1313502491565903540494f,0.6609756367352789263592f,\ +0.0048662091069645377339f,0.2834395431640467921675f,0.9276488528261589427970f,\ +0.0194349468870056892034f,0.7514487870197579244547f,0.2282406932471093830017f,\ +0.2530426070707028074480f,0.1201828114589197499251f,0.1905784099029704803385f,\ +0.352988062986135442411f,1.428231701456014857143f,0.2926743123472941854324f,\ +1.2015237487616485800856f,0.2933392882321691486069f,0.5598095809652490206787f,\ +1.1980617264883439698764f,0.6755313107918682336006f,0.4163652909127465440164f,\ +0.5031101302799753094419f,0.0073589599979746594949f,0.5686119631638693050491f,\ +0.5067094190821778143530f,0.7848798186452353720100f,1.391531190313842980544f,\ +0.5377167840923406938458f,0.3004214213647905529214f,0.2044521595617958820146f,\ +0.8451397437154636316237f,1.1940319015577840477960f,0.1934142466999154985619f,\ +0.5868590674474564172769f,1.2319476773796440571829f,0.0115528803708900857511f,\ +0.5460945923736312268559f,0.792392311128046200608f,0.5456805647330320585553f,\ +0.1551171962759635702955f,0.2629975069837691137309f,1.4242699230594764170377f,\ +0.7208802037485926295091f,1.3610118285291581408103f,1.5315144150725372718114f,\ +0.3598870449025589057790f,0.9425361247426047306419f,0.2138933525822492576207f,\ +1.3614020090881830959972f,0.8033042279594378998198f,0.925149379458894971506f,\ +0.4288158062140490778269f,0.5595850272060393093554f,1.397781375537582970736f,\ +0.0289773576405878592610f,0.1648772252909011803990f,0.4402197018088547242343f,\ +0.0021650713238892428658f,0.1830059338084651376910f,0.4900039273308094966986f,\ +0.2004051993228692374327f,0.6920756616600035604492f,0.4662749757103929471036f,\ +1.244365984627544330365f,0.6996374475054760733173f,0.4605850493651166277509f,\ +0.2357993689411847226811f,0.5049411785573922895054f,0.7065020490746397596737f,\ +1.16655281751026174142f,0.4047724755535024310227f} + +#define CSOURCER {0.6045256052166223526001f,0.9455216196365654468536f,0.4476299257948994636536f,\ +0.8624908211641013622284f,0.1751048639416694641113f,0.2067177616991102695465f,\ +0.6848411662504076957703f,0.1348653226159512996674f,0.0069159921258687973022f,\ +0.1496290047653019428253f,0.5665438110008835792542f,0.4359452719800174236298f,\ +0.6547604538500308990479f,0.3381605879403650760651f,0.4259321158751845359802f,\ +0.3060420057736337184906f,0.7704779822379350662231f,0.7058695447631180286408f,\ +0.2373670237138867378235f,0.8205849635414779186249f,0.6789963841438293457031f,\ +0.5250809141434729099274f,0.3359806565567851066589f,0.8941988362930715084076f,\ +0.5461782198399305343628f,0.7568633262999355792999f,0.0259526828303933143616f,\ +0.3250150899402797222138f,0.6072143577039241791f,0.8756139636971056461334f,\ +0.2962085595354437828064f,0.4229678637348115444183f,0.4243144039064645767212f,\ +0.7620028969831764698029f,0.3622896494343876838684f,0.5658242437057197093964f,\ +0.6424440070986747741699f,0.7580267959274351596832f,0.2531452132388949394226f,\ +0.5266989110969007015228f,0.2118590380996465682983f,0.4779220153577625751495f,\ +0.1615962767973542213440f,0.9168031658045947551727f,0.5461866445839405059815f,\ +0.4686870560981333255768f,0.7772213732823729515076f,0.5871783248148858547211f,\ +0.5848031807690858840942f,0.3139644009061157703400f,0.3204141603782773017883f,\ +0.3331634956412017345429f,0.2282590121030807495117f,0.2750317254103720188141f,\ +0.4963629124686121940613f,0.7453477247618138790131f,0.1155001949518918991089f,\ +0.0626524840481579303741f,0.0877018878236413002014f,0.5507565210573375225067f,\ +0.2116370312869548797607f,0.8335358710028231143951f,0.4045845707878470420837f,\ +0.2880227542482316493988f,0.1750094983726739883423f,0.0051561561413109302521f,\ +0.3109287889674305915833f,0.6602919283322989940643f,0.9722995534539222717285f,\ +0.9826813959516584873200f,0.0455837054178118705750f,0.4096118300221860408783f,\ +0.7104403134435415267944f,0.3917615194804966449738f,0.5571686858311295509338f,\ +0.0565565521828830242157f,0.1540721096098423004150f,0.9109257892705500125885f,\ +0.5713340407237410545349f,0.3488348922692239284515f,0.8972954172641038894653f,\ +0.2973396372981369495392f,0.1091936426237225532532f,0.7626331257633864879608f,\ +0.6584706604480743408203f,0.6996708759106695652008f,0.6756794182583689689636f,\ +0.9004421546123921871185f,0.6668148916214704513550f,0.8518152837641537189484f,\ +0.8365677157416939735413f,0.1291190306656062602997f,0.6095453463494777679443f,\ +0.2412315667606890201569f,0.4029275467619299888611f,0.3019328541122376918793f,\ +0.1083198729902505874634f,0.8456356939859688282013f,0.9417407037690281867981f,\ +0.9083450469188392162323f,0.1937242373824119567871f,0.5318046086467802524567f,\ +0.8314437521621584892273f,0.4952740012668073177338f,0.7465563025325536727905f,\ +0.7102393140085041522980f,0.5811418974772095680237f,0.7035941029898822307587f,\ +0.3746570833027362823486f,0.3394373343326151371002f,0.6322447275742888450623f,\ +0.7636191300116479396820f,0.6940386760979890823364f,0.8735245508141815662384f,\ +0.3612738298252224922180f,0.7933200257830321788788f,0.4830590635538101196289f,\ +0.2469964125193655490875f,0.5025922833010554313660f,0.7430270477198064327240f,\ +0.6783937942236661911011f,0.4903185223229229450226f,0.709806025959551334381f,\ +0.3303662906400859355927f,0.6815545372664928436279f,0.0701365978457033634186f,\ +0.4745870968326926231384f,0.8091805852018296718597f,0.9447045121341943740845f,\ +0.5478458073921501636505f,0.1216687532141804695129f,0.9161847713403403759003f,\ +0.3045207932591438293457f,0.6502694808878004550934f,0.0987624628469347953796f,\ +0.8391053467057645320892f,0.0328534897416830062866f,0.3461971958167850971222f,\ +0.2801467711105942726135f,0.5500544901005923748016f,0.0729318000376224517822f,\ +0.0225322381593286991119f,0.50267804320901632309f,0.3478884599171578884125f,\ +0.4298669416457414627075f,0.3537984383292496204376f,0.0529730813577771186829f,\ +0.9533003675751388072968f,0.1842019557952880859375f,0.958756382111459970474f,\ +0.3245136169716715812683f,0.0003973259590566158295f,0.0972583871334791183472f,\ +0.4378789965994656086f,0.3634226778522133827210f,0.2685119728557765483856f,\ +0.2770298384130001068115f,0.8854365111328661441803f,0.5216628303751349449158f,\ +0.4979983693920075893f,0.8733724001795053482056f,0.4699407932348549365997f,\ +0.9364062966778874397278f,0.1337622734718024730682f,0.2712419554591178894043f,\ +0.1766990595497190952301f,0.0543269468471407890320f,0.8402757882140576839447f,\ +0.7507283594459295272827f,0.3062269617803394794464f,0.9195641661062836647034f,\ +0.1318263853900134563446f,0.0826364941895008087158f,0.8222710476256906986237f,\ +0.4441085970029234886169f,0.9617503038607537746429f,0.0283641982823610305786f,\ +0.1431905967183411121368f,0.3793597565963864326477f,0.6144003230147063732147f,\ +0.2128270715475082397461f,0.4704488315619528293610f,0.2076055286452174186707f,\ +0.7435979112051427364349f,0.3391801547259092330933f,0.2479635034687817096710f,\ +0.6721735307946801185608f,0.9013197491876780986786f,0.2140864841639995574951f,\ +0.8460668534971773624420f,0.1650043567642569541931f,0.4003686285577714443207f,\ +0.5522825215011835098267f,0.0638249483890831470490f,0.6903966935351490974426f,\ +0.8547787251882255077362f,0.0291904583573341369629f,0.5434663915075361728668f,\ +0.6236743135377764701843f,0.2417052476666867733002f} + +#define CSOURCEI {0.5503273960202932357788f,0.6906704087741672992706f,0.9835249418392777442932f,\ +0.8285484607331454753876f,0.2062614001333713531494f,0.1944643096067011356354f,\ +0.4367609983310103416443f,0.8090620837174355983734f,0.8818644303828477859497f,\ +0.7404803228564560413361f,0.7542522149160504341126f,0.9921960639767348766327f,\ +0.9886121451854705810547f,0.0113218077458441257477f,0.9367801276966929435730f,\ +0.3874237253330647945404f,0.2886805813759565353394f,0.567788839805871248245f,\ +0.7295644441619515419006f,0.0303032915107905864716f,0.2795897088944911956787f,\ +0.7047131718136370182037f,0.7442112853750586509705f,0.8920237845741212368012f,\ +0.1081438604742288589478f,0.8751525697298347949982f,0.9068333031609654426575f,\ +0.2166852983646094799042f,0.4824190363287925720215f,0.7766945236362516880035f,\ +0.4510916722938418388367f,0.1300636469386518001556f,0.5505470838397741317749f,\ +0.6936193336732685565949f,0.1749099576845765113831f,0.8636093880049884319305f,\ +0.2150467522442340850830f,0.1886725709773600101471f,0.1796098565682768821716f,\ +0.4374312213622033596039f,0.8514516223222017288208f,0.7381969136185944080353f,\ +0.8102188156917691230774f,0.1460137623362243175507f,0.8999849110841751098633f,\ +0.4043733575381338596344f,0.0156995235010981559753f,0.6904196902178227901459f,\ +0.2990311514586210250855f,0.1383218024857342243195f,0.8478512773290276527405f,\ +0.3007262717001140117645f,0.229154746979475021362f,0.8078110129572451114655f,\ +0.3176332255825400352478f,0.6924462593160569667816f,0.1364154014736413955689f,\ +0.5433279541321098804474f,0.3276594849303364753723f,0.2006831648759543895721f,\ +0.5037304237484931945801f,0.4962565028108656406403f,0.8996161324903368949890f,\ +0.9357709079049527645111f,0.3390339072793722152710f,0.6029155333526432514191f,\ +0.4153500730171799659729f,0.3041478390805423259735f,0.8489827848970890045166f,\ +0.4482063786126673221588f,0.0903797810897231101990f,0.7382151386700570583344f,\ +0.2669597584754228591919f,0.8226196658797562122345f,0.3985779182985424995422f,\ +0.9789295899681746959686f,0.3041231036186218261719f,0.0663515278138220310211f,\ +0.6667758254334330558777f,0.7548807277344167232513f,0.1922533493489027023315f,\ +0.7942791883833706378937f,0.5580398896709084510803f,0.2016023616306483745575f,\ +0.787146832793951034546f,0.0955459238030016422272f,0.6623697867617011070252f,\ +0.864868474658578634262f,0.7013061288744211196899f,0.8015053984709084033966f,\ +0.9135685982182621955872f,0.6317234965972602367401f,0.9346773549914360046387f,\ +0.9157753759063780307770f,0.0510348035022616386414f,0.4329969524405896663666f,\ +0.9721843507140874862671f,0.8001508046872913837433f,0.8452261472120881080627f,\ +0.0610524858348071575165f,0.8168097324669361114502f,0.2101262793876230716705f,\ +0.3055453812703490257263f,0.9465212575159966945648f,0.9269728232175111770630f,\ +0.7737778765149414539337f,0.5893978821113705635071f,0.2377697187475860118866f,\ +0.5269544571638107299805f,0.0077543654479086399078f,0.8311711428686976432800f,\ +0.0268517597578465938568f,0.2591186594218015670776f,0.4641277943737804889679f,\ +0.6098861405625939369202f,0.0656952331773936748505f,0.6466812007129192352295f,\ +0.1018534512259066104889f,0.2742705782875418663025f,0.8162728524766862392426f,\ +0.3357750270515680313110f,0.4765891996212303638458f,0.8440040023997426033020f,\ +0.1785074654035270214081f,0.5855625644326210021973f,0.8426241897977888584137f,\ +0.7058847947046160697937f,0.7396617024205625057221f,0.9751448985189199447632f,\ +0.7606669445522129535675f,0.8236690396443009376526f,0.8889620001427829265595f,\ +0.7960178293287754058838f,0.3052428201772272586823f,0.6803312664851546287537f,\ +0.6412069997750222682953f,0.0988248009234666824341f,0.4654508423991501331329f,\ +0.6714970665052533149719f,0.5131103205494582653046f,0.8631567060947418212891f,\ +0.8328299173153936862946f,0.1687975851818919181824f,0.2961277081631124019623f,\ +0.2591485660523176193237f,0.1700844173319637775421f,0.9718958893790841102600f,\ +0.0695185582153499126434f,0.4696230851113796234131f,0.9544191421009600162506f,\ +0.3679352095350623130798f,0.2973918146453797817230f,0.0415310803800821304321f,\ +0.4892336544580757617950f,0.5171590568497776985169f,0.3534862431697547435761f,\ +0.2354387864470481872559f,0.6779259913600981235504f,0.3834532154724001884460f,\ +0.3174350797198712825775f,0.3418120350688695907593f,0.0535557498224079608917f,\ +0.9285596096888184547424f,0.3862650538794696331024f,0.4328473098576068878174f,\ +0.1581165478564798831940f,0.7887120461091399192810f,0.7448797873221337795258f,\ +0.5185996759682893753052f,0.8651678604073822498322f,0.1524438308551907539368f,\ +0.2392775672487914562225f,0.5761575847864151000977f,0.7395762302912771701813f,\ +0.0583172617480158805847f,0.6962534948252141475678f,0.4206145536154508590698f,\ +0.0281158541329205036163f,0.8313249954953789710999f,0.2333360086195170879364f,\ +0.8865877203643321990967f,0.3746785433031618595123f,0.87671328987926244736f,\ +0.4027077830396592617035f,0.2890332732349634170532f,0.8538430598564445972443f,\ +0.5499771209433674812317f,0.5128610017709434032440f,0.6321087554097175598145f,\ +0.4165538274683058261871f,0.3217771751806139945984f,0.9717370062135159969330f,\ +0.5348322447389364242554f,0.3416590173728764057159f,0.9565287167206406593323f,\ +0.9951003189198672771454f,0.3422884084284305572510f,0.7870580093003809452057f,\ +0.9234123295173048973084f,0.5238970420323312282562f} + +#define CRESULTR {0.4622549506274005182149f,0.52703543104286754151f,0.1827556517526441881572f,\ +0.3854184255425531224759f,0.1693791983359425601385f,0.2016515153621968869935f,\ +0.6100517388487384229379f,0.0743340542544716487150f,0.0034555684806514769605f,\ +0.0902156984479902251950f,0.3241135973562218053345f,0.1760110212342378688266f,\ +0.2452633832131958513401f,0.3516179963878625636120f,0.1885474403955421374146f,\ +0.2692513911062309750477f,0.8321367071581778906975f,0.5264631357733180472280f,\ +0.1448019483693787634593f,1.0708552390146606203558f,0.7125992289896019293849f,\ +0.3253494174977278885486f,0.2001345889867806593365f,0.343199696050296210181f,\ +0.5982400693418048476246f,0.3303593637710269814711f,0.0125118697596118978038f,\ +0.3199717638395740970658f,0.5061472843217617034739f,0.4295842023027047207329f,\ +0.2465282516242081889413f,0.441112206343829249544f,0.3219119603275076846316f,\ +0.4595743499683106469966f,0.3660794615870797685808f,0.2720878846188879984780f,\ +0.6972660654407580871350f,0.8861718442431221198774f,0.2499974132956042649489f,\ +0.4568598941148580561134f,0.1097116340955419794279f,0.2836394335106861008811f,\ +0.0888432657814137161090f,1.2330526748467487418992f,0.2488174581727523593244f,\ +0.4160762578947443945943f,0.9833017375902159962209f,0.3688379479484371614717f,\ +0.5845995722843282393910f,0.3179368621558099627933f,0.1652197278936747004696f,\ +0.3133619394599517771205f,0.2199213980004723900663f,0.150759611907827051347f,\ +0.4771998617931776376366f,0.4525965638532219448287f,0.1138559184839921800680f,\ +0.0472861014102091622990f,0.0790630167394415495075f,0.5814611436078345185763f,\ +0.1667238962880819019841f,0.6920944670661310915705f,0.1906861485587098559158f,\ +0.1307919466930784202496f,0.1574308648240616004266f,0.0036575163164140646332f,\ +0.2674520780172894851567f,0.6735689731298903915047f,0.378774827327838792268f,\ +0.8834054385824835486929f,0.0452439501756518244746f,0.2447083220521515389834f,\ +0.7633578523125562620422f,0.2078243181020067997800f,0.5055052026142557997090f,\ +0.0245040445592060660007f,0.1414831146311008314154f,1.2738839652002900137973f,\ +0.3722074374977639710238f,0.2046196449929307825677f,1.143222534499549469800f,\ +0.1658122283683383380026f,0.0812521009905448621247f,0.8856778536505196530726f,\ +0.3496455120553698669994f,0.8287603905975037266174f,0.4374379182437952429119f,\ +0.3632754548631693114480f,0.4065565887334736672187f,0.4042071334744706256892f,\ +0.3223163664494689273354f,0.0887658719864259648791f,0.2562423384997916109285f,\ +0.1135016065651749256338f,0.4249393631867034448746f,0.2555315607462380622650f,\ +0.0473167224981555015195f,0.4038863981107233547263f,0.3812800945055046519805f,\ +1.2694612396144742128001f,0.1054006198029389801407f,0.5548755616229488207836f,\ +0.9047138472187979951755f,0.2120875774680325287491f,0.2977497737582537329359f,\ +0.3793852632159244175902f,0.4216852391721442327999f,0.7719661269702553507699f,\ +0.2909766448133100369411f,0.3530800537032807717708f,0.3144419867733496687379f,\ +0.9560423318471079623393f,0.7455173297127551945707f,0.7647697575929581770282f,\ +0.2552307563419532465687f,1.0071246904841177904899f,0.3254058309317561237251f,\ +0.2493837937457981657197f,0.4995060266703120754883f,0.3635478722517977989703f,\ +0.6755663854502449439110f,0.4060422219779377672744f,0.3354119513743121228089f,\ +0.3310200365444659897918f,0.4956952069626366363941f,0.0369899619573449203735f,\ +0.2949888674609426608697f,0.4417162785414836534415f,0.2901327037722924995222f,\ +0.3113814080983853260776f,0.0657705595388366343057f,0.3468932593605689174154f,\ +0.1693138876335541220808f,0.6604383641650866110240f,0.0641696842881706724926f,\ +0.5420718455446384975716f,0.0325460783396350344931f,0.2856018727381676169941f,\ +0.1837045440337584378820f,0.4394912998560263073244f,0.0373805900188774464787f,\ +0.0120513737523088183129f,0.5299342664002043568061f,0.3290248923514364487453f,\ +0.4232813397541956845771f,0.3574733895472496092438f,0.0231976592717455104564f,\ +1.388138041383984555566f,0.1495922092250967505578f,0.3027074594945061147833f,\ +0.2906013786665496145822f,0.0003641583735012103801f,0.0973965246964013098285f,\ +0.3558085542679609303285f,0.2850038039654740895657f,0.2413433027684695197923f,\ +0.2679865438260303767137f,0.5240490385593890021454f,0.4768351880953459742685f,\ +0.479037567928660701355f,0.9219838892273597430460f,0.5060637477109658499686f,\ +0.3200337217432840941633f,0.1160441175011530240413f,0.2289284118436291093346f,\ +0.1740340532494602521219f,0.0308192365918868102503f,0.4474996159504823212139f,\ +0.601992209828681956729f,0.1542000078067730650666f,1.2334589409579821417395f,\ +0.1251630868814269104128f,0.0603288006292757861271f,0.4462414520672394746548f,\ +0.4738309669088760500699f,0.5239025685810345667193f,0.0238870191275340100490f,\ +0.1440610501660575526461f,0.1990046768508525187880f,0.6514000598731057856128f,\ +0.1047897932784156715957f,0.429099188123020058860f,0.1037294840964696623908f,\ +0.6989271583573236634734f,0.3217396834648525993927f,0.1276324483471362458698f,\ +0.51478179757014652651f,0.7241126844123151329313f,0.1471790945486320945079f,\ +0.7963244963417922539506f,0.1499982428024713432269f,0.1685430842340138735125f,\ +0.4298103979039861188838f,0.0569704807929593617932f,0.2690745622378380996764f,\ +0.2759880123858853839813f,0.0260258640811948625815f,0.2968457197721043328009f,\ +0.2658449701658989750008f,0.1869340145100120420540f} + +#define CRESULTI {0.6606731609576530495076f,1.0352924413907944600766f,0.8208009210718538728457f,\ +0.9855228198847613141354f,0.2094799364238341676803f,0.2001711092576675676824f,\ +0.6157063400955946619320f,0.6758210089185754387842f,0.7073690227519786599686f,\ +0.6379959312114483749312f,0.7691489792855270568595f,0.8204717538076390370705f,\ +0.8992691795054111869590f,0.0127212399656787735619f,0.7965072880961274748302f,\ +0.4005414846539865347808f,0.5078102333041875082742f,0.7442675929748912011519f,\ +0.6446164613619681515999f,0.0651017559751383007027f,0.4292463160345246220295f,\ +0.7218268661973539224164f,0.675831849442214971369f,1.016847265460205207432f,\ +0.1468976923106849463707f,0.923642083424730087060f,0.7198425877508842773977f,\ +0.2363604106893440193193f,0.6057859843456331327971f,0.9859934125773722746189f,\ +0.4546059235344489524167f,0.1550160776744255175519f,0.5737784438019621902072f,\ +0.8635696530908816281880f,0.1971722712896061546761f,0.8187472766310414096225f,\ +0.3223047939566238695441f,0.3428986541358745587793f,0.1891956718334251719149f,\ +0.5208354545548833369750f,0.7081524694874962166935f,0.7203267007574796210179f,\ +0.6794103936977667901331f,0.3782115660166653348107f,0.8246286245352181243362f,\ +0.4645139855543011786487f,0.0308839406628786498910f,0.7450942218464524646748f,\ +0.4028312748892641792509f,0.1516356705950959171680f,0.7277735925258916882541f,\ +0.3236400086381776008970f,0.2367328033923032648556f,0.6968150511733807173087f,\ +0.3868027398676305850245f,0.8499965389936866566600f,0.1373663005352325217068f,\ +0.4969728656393965771088f,0.3186158192908606912042f,0.2687494032146487410451f,\ +0.4817044586911616854685f,0.8091241454316642212064f,0.7745837276131475324092f,\ +0.7616864033669616951272f,0.3357065002058312042088f,0.5391311137157557276112f,\ +0.4267832806356777752832f,0.4494653959304828472199f,1.07409232431056356205f,\ +0.9773946189840253540027f,0.0903205143448218145119f,0.6947943813727951445358f,\ +0.4320600869989819070582f,0.7345738223824911372617f,0.4980076917918512258154f,\ +0.753646277499480543582f,0.3015650137112788620186f,0.1750320030662110004638f,\ +0.7223173121894863601966f,0.6855367528648522723600f,0.4620100861135144620917f,\ +0.6944021533252422440086f,0.5110335784375538148439f,0.3672451576697671193905f,\ +0.8344551064956932107108f,0.16170594539219715347f,0.7832786921268890534265f,\ +1.0189285776822756268700f,0.7988551639208606447440f,0.9719247807905779801274f,\ +0.9809763387972041392970f,0.5656833224514162816732f,0.8638733429144607178785f,\ +0.7441066604777042403640f,0.0602264440127683667314f,0.4402801210484636462716f,\ +0.7535199884397705272221f,0.9667811691361050119298f,1.0493588871220529412653f,\ +0.1602121578348635611011f,0.6872528304663769738170f,0.2746926003887739664577f,\ +0.5904217499472341756928f,0.8227770718789775283852f,0.9300490141104427177510f,\ +0.8608967966610167055208f,0.6761042332942854837796f,0.3862514929365022942065f,\ +0.5383206023328632738867f,0.0087209580621782408633f,0.8379947814437334052684f,\ +0.0514162894427564812205f,0.4107196425718538934646f,0.8291800128662117908007f,\ +0.5965153474380232578866f,0.1327243053149035900695f,0.6666204349503430659496f,\ +0.1078852700862242136592f,0.3410661266092010479589f,0.8978136284012265821986f,\ +0.4999590426790496699994f,0.5396356462900459005638f,0.8861720904164178680418f,\ +0.1966865820582558155305f,0.7384948934734244518907f,0.6889822634082830576929f,\ +0.7002461629632836803694f,0.9202927678328401972507f,1.0522470356995357043672f,\ +0.7633410819201092989417f,0.6825068129840573538658f,1.032180426666563732852f,\ +0.6970224139462883883311f,0.4448502829538992786596f,0.5954971038562514307202f,\ +0.9072269118636318019355f,0.0986096977623509007849f,0.4792818549998886235031f,\ +0.6169344532127701841162f,0.5996614784596430158814f,0.6997864810760641152143f,\ +0.6821778350957495851148f,0.2159298191152681511973f,0.3221001280586711645881f,\ +0.3026923795099815683862f,0.1907050596442291245936f,0.7504581695080775327611f,\ +0.2050797642560421019109f,0.4500993401191650811200f,1.0616552076870116039231f,\ +0.3866139253948813192530f,0.2889239979563678062391f,0.0419016457354280461023f,\ +0.5291730503201013124937f,0.5270449613735276317428f,0.3620065401137618765759f,\ +0.2487989439191494456249f,0.9684607851607960338214f,0.4659312790851565244665f,\ +0.3871941948924775833696f,0.6912156199525602007228f,0.0672566496597855195683f,\ +1.0473726182255131966770f,0.3738845568372618499708f,0.4336537904037139901092f,\ +0.1616849585723995341713f,0.6587810404999043800700f,0.9478245114156004236250f,\ +0.7443033774708265326581f,0.7329852502477968156924f,0.3960943016785423709258f,\ +0.2387102372514374737378f,0.5224647164810142241365f,0.9310236182750510902650f,\ +0.0713841738247450452448f,1.0541437904171060413461f,0.3977173917051313734028f,\ +0.0286922698814963753056f,0.7352303476692350070465f,0.3345177682401353491670f,\ +0.7257755336052617023412f,0.4362132495206523241649f,0.7201678840265979264501f,\ +0.6279860575277228518232f,0.3131701555376726897606f,0.7154672057942548235587f,\ +0.7055403294219286802758f,0.90419581128384973745f,0.5774063124958943582499f,\ +0.748377680093745611956f,0.3188837788675313866804f,0.8029276503063254022408f,\ +0.6186055293635583929301f,0.3301554535865592887589f,0.907799805701633655275f,\ +1.0004593122932974313954f,0.3297692664500386783288f,0.774518614973831232007f,\ +0.8666563831612021928663f,0.5028547740750087813311f} + + + + +void stansTest(void) { + float in[]=SOURCE; + float res[]=RESULT; + float out; + int i; + + for (i=0;i<200;i++){ + out=stans(in[i]); + assert(( (fabs(out-res[i]))/(fabs(out)) )<1e-7); + } +} + +void ctansTest(void) { + float inR[]=CSOURCER; + float inI[]=CSOURCEI; + float resR[]=CRESULTR; + float resI[]=CRESULTI; + floatComplex in,out; + int i; + + for (i=0;i<200;i++){ + in=FloatComplex(inR[i],inI[i]); + out=ctans(in); + assert(( (fabs(creals(out)-resR[i]))/(fabs(creals(out))) )<1e-6); + assert(( (fabs(cimags(out)-resI[i]))/(fabs(cimags(out))) )<1e-6); + } +} + +void stanaTest(void) { + float in[]=SOURCE; + float res[]=RESULT; + float out[200]; + int i; + + stana(in,200,out); + for (i=0;i<200;i++){ + assert(( (fabs(out[i]-res[i]))/(fabs(out[i])) )<1e-6); + } +} + +void ctanaTest(void) { + float inR[]=CSOURCER; + float inI[]=CSOURCEI; + float resR[]=CRESULTR; + float resI[]=CRESULTI; + floatComplex *in,out[200]; + int i; + + in=FloatComplexMatrix(inR,inI,200); + ctana(in,200,out); + + for (i=0;i<200;i++){ + assert(( (fabs(creals(out[i])-resR[i]))/(fabs(creals(out[i]))) )<1e-6); + assert(( (fabs(cimags(out[i])-resI[i]))/(fabs(cimags(out[i]))) )<1e-6); + } +} +int testTan() { + printf("\n>>>> Float Tangeant Tests\n"); + stansTest(); + ctansTest(); + stanaTest(); + ctanaTest(); + + return 0; +} + +int main() { + assert(testTan() == 0); + return 0; +} diff --git a/2.3-1/src/c/elementaryFunctions/tan/testTan.h b/2.3-1/src/c/elementaryFunctions/tan/testTan.h new file mode 100644 index 00000000..b9adf6f7 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/tan/testTan.h @@ -0,0 +1,36 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2007-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#ifndef _TESTTAN_H_ +#define _TESTTAN_H_ + +#include <stdio.h> +#include <assert.h> +#include <math.h> +#include "tan.h" +#include "constant.h" + +void stansTest(void); +void stanaTest(void); + +void dtansTest(void); +void dtanaTest(void); + +void ctansTest(void); +void ctanaTest(void); + +void ztansTest(void); +void ztanaTest(void); + +int testTan(void); + +#endif /* !_TESTTAN_H_ */ diff --git a/2.3-1/src/c/elementaryFunctions/tan/ztana.c b/2.3-1/src/c/elementaryFunctions/tan/ztana.c new file mode 100644 index 00000000..6634d422 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/tan/ztana.c @@ -0,0 +1,20 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "tan.h" + +void ztana(doubleComplex* x, int size, doubleComplex* y) { + int i = 0; + for (i = 0; i < size; ++i) { + y[i] = ztans(x[i]); + } +} diff --git a/2.3-1/src/c/elementaryFunctions/tan/ztans.c b/2.3-1/src/c/elementaryFunctions/tan/ztans.c new file mode 100644 index 00000000..761da36b --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/tan/ztans.c @@ -0,0 +1,104 @@ +/*
+ * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
+ * Copyright (C) 2006-2008 - INRIA - Bruno JOFRET
+ * Copyright (C) Bruno Pincon
+ *
+ * This file must be used under the terms of the CeCILL.
+ * This source file is licensed as described in the file COPYING, which
+ * you should have received as part of this distribution. The terms
+ * are also available at
+ * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt
+ *
+ */
+
+/*
+ ALGORITHM
+ based on the formula :
+
+ 0.5 sin(2 xr) + i 0.5 sinh(2 xi)
+ tan(xr + i xi) = ---------------------------------
+ cos(xr)^2 + sinh(xi)^2
+
+ noting d = cos(xr)^2 + sinh(xi)^2, we have :
+
+ yr = 0.5 * sin(2 * xr) / d (1)
+
+ yi = 0.5 * sinh(2 * xi) / d (2)
+
+ to avoid spurious overflows in computing yi with
+ formula (2) (which results in NaN for yi)
+ we use also the following formula :
+
+ yi = sign(xi) when |xi| > LIM (3)
+
+ Explanations for (3) :
+
+ we have d = sinh(xi)^2 ( 1 + (cos(xr)/sinh(xi))^2 ),
+ so when :
+
+ (cos(xr)/sinh(xi))^2 < epsm ( epsm = max relative error
+ for coding a real in a f.p.
+ number set F(b,p,emin,emax)
+ epsm = 0.5 b^(1-p) )
+ which is forced when :
+
+ 1/sinh(xi)^2 < epsm (4)
+ <=> |xi| > asinh(1/sqrt(epsm)) (= 19.06... in ieee 754 double)
+
+ sinh(xi)^2 is a good approximation for d (relative to the f.p.
+ arithmetic used) and then yr may be approximate with :
+
+ yr = cosh(xi)/sinh(xi)
+ = sign(xi) (1 + exp(-2 |xi|))/(1 - exp(-2|xi|))
+ = sign(xi) (1 + 2 u + 2 u^2 + 2 u^3 + ...)
+
+ with u = exp(-2 |xi|)). Now when :
+
+ 2 exp(-2|xi|) < epsm (2)
+ <=> |xi| > 0.5 * log(2/epsm) (= 18.71... in ieee 754 double)
+
+ sign(xi) is a good approximation for yr.
+
+ Constraint (1) is stronger than (2) and we take finaly
+
+ LIM = 1 + log(2/sqrt(epsm))
+
+ (log(2/sqrt(epsm)) being very near asinh(1/sqrt(epsm))
+
+AUTHOR
+ Bruno Pincon <Bruno.Pincon@iecn.u-nancy.fr>
+*/
+
+#include <math.h>
+#include "lapack.h"
+#include "tan.h"
+#include "sqrt.h"
+#include "cos.h"
+#include "sinh.h"
+#include "sin.h"
+#include "log.h"
+#include "abs.h"
+
+#define localSign(x) x >= 0 ? 1.0 : -1.0
+
+doubleComplex ztans(doubleComplex z) {
+ double Temp = 0;
+ double Lim = 1 + dlogs(2.0 / dsqrts( getRelativeMachinePrecision()));
+ double RealIn = zreals(z);
+ double ImagIn = zimags(z);
+ double RealOut = 0;
+ double ImagOut = 0;
+
+ Temp = pow(dcoss(RealIn), 2) + pow(dsinhs(ImagIn), 2);
+ RealOut = 0.5 * dsins(2 * RealIn) / Temp;
+ if(dabss(ImagIn) < Lim)
+ {
+ ImagOut = 0.5 * dsinhs(2 * ImagIn) / Temp;
+ }
+ else
+ {
+ ImagOut = localSign(ImagIn);
+ }
+
+ return DoubleComplex(RealOut, ImagOut);
+}
diff --git a/2.3-1/src/c/elementaryFunctions/tanh/Makefile.am b/2.3-1/src/c/elementaryFunctions/tanh/Makefile.am new file mode 100644 index 00000000..714eec18 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/tanh/Makefile.am @@ -0,0 +1,73 @@ +## +## Scilab ( http://www.scilab.org/ ) - This file is part of Scilab +## Copyright (C) 2006-2008 - INRIA - Bruno JOFRET +## +## This file must be used under the terms of the CeCILL. +## This source file is licensed as described in the file COPYING, which +## you should have received as part of this distribution. The terms +## are also available at +## http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt +## +## + +libTanh_la_CFLAGS = -I ../../type \ + -I ../includes + +instdir = $(top_builddir)/lib + +pkglib_LTLIBRARIES = libTanh.la + +libTanh_la_SOURCES = $(HEAD) $(SRC) + +SRC = stanhs.c \ + dtanhs.c \ + ctanhs.c \ + ztanhs.c \ + stanha.c \ + dtanha.c \ + ctanha.c \ + ztanha.c + +HEAD = ../includes/tanh.h + +#### +# Checking Part +#### + +check_INCLUDES = -I $(top_builddir)/src/c/elementaryFunctions/includes \ + -I $(top_builddir)/src/c/type + +check_LDADD = $(top_builddir)/src/fortran/lapack/libscilapack.la \ + $(top_builddir)/src/c/type/libDoubleComplex.la \ + $(top_builddir)/src/c/type/libFloatComplex.la \ + $(top_builddir)/src/c/operations/addition/libAddition.la \ + $(top_builddir)/src/c/elementaryFunctions/tan/libTan.la \ + $(top_builddir)/src/c/elementaryFunctions/sin/libSin.la \ + $(top_builddir)/src/c/elementaryFunctions/cos/libCos.la \ + 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"$(distdir)$$dir" || exit 1; \ + else \ + test -f "$(distdir)/$$file" \ + || cp -p $$d/$$file "$(distdir)/$$file" \ + || exit 1; \ + fi; \ + done +check-am: all-am + $(MAKE) $(AM_MAKEFLAGS) $(check_PROGRAMS) + $(MAKE) $(AM_MAKEFLAGS) check-TESTS +check: check-am +all-am: Makefile $(LTLIBRARIES) +installdirs: + for dir in "$(DESTDIR)$(pkglibdir)"; do \ + test -z "$$dir" || $(MKDIR_P) "$$dir"; \ + done +install: install-am +install-exec: install-exec-am +install-data: install-data-am +uninstall: uninstall-am + +install-am: all-am + @$(MAKE) $(AM_MAKEFLAGS) install-exec-am install-data-am + +installcheck: installcheck-am +install-strip: + $(MAKE) $(AM_MAKEFLAGS) INSTALL_PROGRAM="$(INSTALL_STRIP_PROGRAM)" \ + install_sh_PROGRAM="$(INSTALL_STRIP_PROGRAM)" INSTALL_STRIP_FLAG=-s \ + `test -z '$(STRIP)' || \ + echo "INSTALL_PROGRAM_ENV=STRIPPROG='$(STRIP)'"` install +mostlyclean-generic: + +clean-generic: + +distclean-generic: + -test -z "$(CONFIG_CLEAN_FILES)" || rm -f $(CONFIG_CLEAN_FILES) + -test . = "$(srcdir)" || test -z "$(CONFIG_CLEAN_VPATH_FILES)" || rm -f $(CONFIG_CLEAN_VPATH_FILES) + +maintainer-clean-generic: + @echo "This command is intended for maintainers to use" + @echo "it deletes files that may require special tools to rebuild." +clean: clean-am + +clean-am: clean-checkPROGRAMS clean-generic clean-libtool \ + clean-pkglibLTLIBRARIES mostlyclean-am + +distclean: distclean-am + -rm -rf ./$(DEPDIR) + -rm -f Makefile +distclean-am: clean-am distclean-compile distclean-generic \ + distclean-tags + +dvi: dvi-am + +dvi-am: + +html: html-am + +html-am: + +info: info-am + +info-am: + +install-data-am: + +install-dvi: install-dvi-am + +install-dvi-am: + +install-exec-am: install-pkglibLTLIBRARIES + +install-html: install-html-am + +install-html-am: + +install-info: install-info-am + +install-info-am: + +install-man: + +install-pdf: install-pdf-am + +install-pdf-am: + +install-ps: install-ps-am + +install-ps-am: + +installcheck-am: + +maintainer-clean: maintainer-clean-am + -rm -rf ./$(DEPDIR) + -rm -f Makefile +maintainer-clean-am: distclean-am maintainer-clean-generic + +mostlyclean: mostlyclean-am + +mostlyclean-am: mostlyclean-compile mostlyclean-generic \ + mostlyclean-libtool + +pdf: pdf-am + +pdf-am: + +ps: ps-am + +ps-am: + +uninstall-am: uninstall-pkglibLTLIBRARIES + +.MAKE: check-am install-am install-strip + +.PHONY: CTAGS GTAGS all all-am check check-TESTS check-am clean \ + clean-checkPROGRAMS clean-generic clean-libtool \ + clean-pkglibLTLIBRARIES ctags distclean distclean-compile \ + distclean-generic distclean-libtool distclean-tags distdir dvi \ + dvi-am html html-am info info-am install install-am \ + install-data install-data-am install-dvi install-dvi-am \ + install-exec install-exec-am install-html install-html-am \ + install-info install-info-am install-man install-pdf \ + install-pdf-am install-pkglibLTLIBRARIES install-ps \ + install-ps-am install-strip installcheck installcheck-am \ + installdirs maintainer-clean maintainer-clean-generic \ + mostlyclean mostlyclean-compile mostlyclean-generic \ + mostlyclean-libtool pdf pdf-am ps ps-am tags uninstall \ + uninstall-am uninstall-pkglibLTLIBRARIES + + +# Tell versions [3.59,3.63) of GNU make to not export all variables. +# Otherwise a system limit (for SysV at least) may be exceeded. +.NOEXPORT: diff --git a/2.3-1/src/c/elementaryFunctions/tanh/ctanha.c b/2.3-1/src/c/elementaryFunctions/tanh/ctanha.c new file mode 100644 index 00000000..e8f9bdf8 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/tanh/ctanha.c @@ -0,0 +1,20 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "tanh.h" + +void ctanha(floatComplex* x, int size, floatComplex* y) { + int i = 0; + for (i = 0; i < size; ++i) { + y[i] = ctanhs(x[i]); + } +} diff --git a/2.3-1/src/c/elementaryFunctions/tanh/ctanhs.c b/2.3-1/src/c/elementaryFunctions/tanh/ctanhs.c new file mode 100644 index 00000000..5111dbd7 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/tanh/ctanhs.c @@ -0,0 +1,22 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "tanh.h" +#include "tan.h" + +floatComplex ctanhs(floatComplex z) { + float real = creals(z); + float imag = cimags(z); + + floatComplex result = ctans(FloatComplex(-imag, real)); + return (FloatComplex(cimags(result), -creals(result))); +} diff --git a/2.3-1/src/c/elementaryFunctions/tanh/dtanha.c b/2.3-1/src/c/elementaryFunctions/tanh/dtanha.c new file mode 100644 index 00000000..d7fce426 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/tanh/dtanha.c @@ -0,0 +1,20 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "tanh.h" + +void dtanha(double* x, int size, double* y) { + int i = 0; + for (i = 0; i < size; ++i) { + y[i] = dtanhs(x[i]); + } +} diff --git a/2.3-1/src/c/elementaryFunctions/tanh/dtanhs.c b/2.3-1/src/c/elementaryFunctions/tanh/dtanhs.c new file mode 100644 index 00000000..b968010e --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/tanh/dtanhs.c @@ -0,0 +1,18 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include <math.h> +#include "tanh.h" + +double dtanhs(double x) { + return (tanh(x)); +} diff --git a/2.3-1/src/c/elementaryFunctions/tanh/stanha.c b/2.3-1/src/c/elementaryFunctions/tanh/stanha.c new file mode 100644 index 00000000..1474e467 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/tanh/stanha.c @@ -0,0 +1,20 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "tanh.h" + +void stanha(float* x, int size, float* y) { + int i = 0; + for (i = 0; i < size; ++i) { + y[i] = stanhs(x[i]); + } +} diff --git a/2.3-1/src/c/elementaryFunctions/tanh/stanhs.c b/2.3-1/src/c/elementaryFunctions/tanh/stanhs.c new file mode 100644 index 00000000..80462855 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/tanh/stanhs.c @@ -0,0 +1,18 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include <math.h> +#include "tanh.h" + +float stanhs(float x) { + return (tanhf(x)); +} diff --git a/2.3-1/src/c/elementaryFunctions/tanh/testDoubleTanh.c b/2.3-1/src/c/elementaryFunctions/tanh/testDoubleTanh.c new file mode 100644 index 00000000..3aecd1f4 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/tanh/testDoubleTanh.c @@ -0,0 +1,496 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008 - INRIA - Arnaud TORSET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "testTanh.h" + +#define SOURCE {0.7062616096809506416321,0.4090520101599395275116,0.3011248558759689331055,\ +0.1880126395262777805328,0.1796709178015589714050,0.2828889950178563594818,\ +0.7232380937784910202026,0.7360379849560558795929,0.1852612206712365150452,\ +0.7703790138475596904755,0.1914967410266399383545,0.7521587223745882511139,\ +0.6205883463844656944275,0.2807604051195085048676,0.2289868686348199844360,\ +0.5049233403988182544708,0.8354099662974476814270,0.8174716415815055370331,\ +0.0030740275979042053223,0.3677616142667829990387,0.8278525872156023979187,\ +0.72754097869619727135,0.5323124285787343978882,0.9267726917751133441925,\ +0.9542504185810685157776,0.3162104780785739421845,0.5789009965956211090088,\ +0.6881225542165338993073,0.3714061146602034568787,0.1705444059334695339203,\ +0.1954363007098436355591,0.978800852317363023758,0.9300233917310833930969,\ +0.5357720064930617809296,0.3947123587131500244141,0.1344871171750128269196,\ +0.7380615202710032463074,0.588114650454372167587,0.9113173168152570724487,\ +0.5682763461954891681671,0.1127616921439766883850,0.9478473584167659282684,\ +0.5237770043313503265381,0.8140139640308916568756,0.1400952627882361412048,\ +0.2763446993194520473480,0.9059953633695840835571,0.1379901585169136524200,\ +0.5603838684037327766419,0.3008610638789832592011,0.4767417535185813904,\ +0.8127435916103422641754,0.1988414181396365165710,0.1107953130267560482025,\ +0.2159351315349340438843,0.6467244853265583515167,0.6597879612818360328674,\ +0.0691898013465106487274,0.9164751060307025909424,0.8635670826770365238190,\ +0.5032854294404387474060,0.1832137755118310451508,0.8403698671609163284302,\ +0.9247214836068451404572,0.6229452537372708320618,0.2773811477236449718475,\ +0.2479109913110733032227,0.3891948559321463108063,0.0436578569933772087097,\ +0.8132526441477239131928,0.7686451207846403121948,0.4041520212776958942413,\ +0.8579940209165215492249,0.6993723283521831035614,0.0828925184905529022217,\ +0.9201254160143435001373,0.5200281282886862754822,0.9351884997449815273285,\ +0.8825624976307153701782,0.2245844271965324878693,0.2153332801535725593567,\ +0.4327089670114219188690,0.5800157263875007629395,0.8876141034997999668121,\ +0.5258982880041003227234,0.859640696551650762558,0.7337234076112508773804,\ +0.7134532411582767963409,0.1087165409699082374573,0.8477638359181582927704,\ +0.6594733335077762603760,0.7916418449021875858307,0.6067967480048537254334,\ +0.4102901122532784938812,0.1958728153258562088013,0.241527963895350694656,\ +0.5113455550745129585266,0.9119556057266891002655,0.0928984880447387695313,\ +0.7438839026726782321930,0.1938720373436808586121,0.4355978979729115962982,\ +0.9922429900616407394409,0.4533818070776760578156,0.8269640663638710975647,\ +0.8889675955288112163544,0.4682085178792476654053,0.3856786251999437808991,\ +0.4124865522608160972595,0.6955242282710969448090,0.0978972557932138442993,\ +0.8728604433126747608185,0.6359515609219670295715,0.4129665228538215160370,\ +0.0294486805796623229980,0.1809961968101561069489,0.7658103061839938163757,\ +0.1232470511458814144135,0.0170737411826848983765,0.8835507561452686786652,\ +0.3164170170202851295471,0.9378212536685168743134,0.3916359134018421173096,\ +0.0844073877669870853424,0.6934146797284483909607,0.4618808380328118801117,\ +0.9355291295796632766724,0.0842495900578796863556,0.5402926551178097724915,\ +0.5613215523771941661835,0.1306025832891464233398,0.5840523042716085910797,\ +0.0048661706969141960144,0.2761953338049352169037,0.7478824090212583541870,\ +0.0194325004704296588898,0.6444276878610253334045,0.2243968318216502666473,\ +0.2478402368724346160889,0.1196091384626924991608,0.1883201440796256065369,\ +0.3393343067727982997894,0.959958622232079505920,0.2847225037403404712677,\ +0.8766820700839161872864,0.2853349032811820507050,0.5103433504700660705566,\ +0.8752629184164106845856,0.5941145820543169975281,0.3945342986844480037689,\ +0.4661326166242361068726,0.0073588271625339984894,0.5170202488079667091370,\ +0.4690007264725863933563,0.6654530800879001617432,0.9476742581464350223541,\ +0.4933638339862227439880,0.2918433747254312038422,0.2016727942973375320435,\ +0.7016656589694321155548,0.8736049132421612739563,0.191055159550160169601,\ +0.5307010114192962646484,0.8889481076039373874664,0.0115523664280772209167,\ +0.4998398735187947750092,0.6700848620384931564331,0.4995208983309566974640,\ +0.1538907447829842567444,0.2571737091057002544403,0.9586529098451137542725,\ +0.6246025026775896549225,0.9371285131201148033142,0.9923511571250855922699,\ +0.3454555813223123550415,0.7558249053545296192169,0.2107181670144200325012,\ +0.9372652801685035228729,0.6767524704337120056152,0.7465373151935636997223,\ +0.4050982249900698661804,0.5101723610423505306244,0.9497965183109045028687,\ +0.0289692510850727558136,0.1634070957079529762268,0.4146909262053668498993,\ +0.0021650679409503936768,0.1810030029155313968658,0.4556188201531767845154,\ +0.1977851442061364650726,0.6053877938538789749146,0.4363054675050079822540,\ +0.8938506888225674629211,0.6104825991205871105194,0.4316215068101882934570,\ +0.2315693595446646213532,0.4675927339121699333191,0.6150764389894902706146,\ +0.8621218334883451461792,0.3846137975342571735382} + +#define RESULT {0.6083272331025194601395,0.3876674561956683362496,0.2923416719993215950879,\ +0.1858281840181150723623,0.1777622033720960281755,0.2755767974985386392639,\ +0.6189110466547474986854,0.6267454363670084127591,0.1831704252906815044710,\ +0.6471497862444923754310,0.1891897820789192330437,0.6364350501403950310930,\ +0.5515375365220808179245,0.2736087067004031037065,0.2250667607234114742099,\ +0.4659802867043164043004,0.6833702176797041838441,0.6736913883505325495449,\ +0.0030740179151169427958,0.3520322698255886617602,0.6793212620436761550735,\ +0.6215586405472446340781,0.4871467381023854570366,0.7290856689840882198794,\ +0.7417012620322497307157,0.3060764076080783047118,0.5218661923298004712279,\ +0.5967745422524275422660,0.3552210140242362257368,0.1689099681737986358154,\ +0.1929854853271556480721,0.752546334797111304837,0.7306048018962054690917,\ +0.4897808669902837253041,0.3754155858264546230529,0.1336821273676178090106,\ +0.6279725491443334250974,0.5285382896600216984240,0.7217639239261176564710,\ +0.5140922941464451945137,0.1122861813568946515174,0.7388069522259688159949,\ +0.4806098503179282999120,0.6717986111263679616101,0.1391858664071369267035,\ 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+0.4373915670200547722857,0.5819809696038570345777,0.7387283262105414083365,\ +0.4568821823646959101595,0.2838305708191527498840,0.1989824153354164404384,\ +0.6054239725907547553518,0.7032010676851431218992,0.1887639704824971842445,\ +0.4859167650222710466146,0.7108737933392066388194,0.0115518525401329084923,\ +0.461991216833716300538,0.5850357022343135593445,0.4617402854275272083839,\ +0.1526873114812071496882,0.2516501130208930181453,0.7436753924988391828421,\ +0.5543244269171754279313,0.7339001657945646295289,0.7583630791792929093376,\ +0.3323391775157006899910,0.6386111600303081559105,0.2076538016886759763224,\ +0.7339632624841636587831,0.5894041048692751916249,0.6330786187202321890766,\ +0.3843027300435838400361,0.4700794834210440531486,0.7396909169647786219670,\ +0.0289611499702619457075,0.1619680384735620870540,0.3924484198089013831101,\ +0.0021650645580242309542,0.1790518892412555074234,0.4265067109232646425099,\ +0.1952458211607971949597,0.5408723031703753791888,0.4105773773696593798022,\ +0.7132904548568874680825,0.5444667235672814298297,0.4066755344379027192758,\ +0.2275170058253208615895,0.4362522385676954606026,0.5476906607425194861705,\ +0.6973492805657204307579,0.3667075667170831554387} + +#define ZSOURCER {0.6045256052166223526001,0.9455216196365654468536,0.4476299257948994636536,\ +0.8624908211641013622284,0.1751048639416694641113,0.2067177616991102695465,\ +0.6848411662504076957703,0.1348653226159512996674,0.0069159921258687973022,\ +0.1496290047653019428253,0.5665438110008835792542,0.4359452719800174236298,\ +0.6547604538500308990479,0.3381605879403650760651,0.4259321158751845359802,\ +0.3060420057736337184906,0.7704779822379350662231,0.7058695447631180286408,\ +0.2373670237138867378235,0.8205849635414779186249,0.6789963841438293457031,\ +0.5250809141434729099274,0.3359806565567851066589,0.8941988362930715084076,\ 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+0.1083198729902505874634,0.8456356939859688282013,0.9417407037690281867981,\ +0.9083450469188392162323,0.1937242373824119567871,0.5318046086467802524567,\ +0.8314437521621584892273,0.4952740012668073177338,0.7465563025325536727905,\ +0.7102393140085041522980,0.5811418974772095680237,0.7035941029898822307587,\ +0.3746570833027362823486,0.3394373343326151371002,0.6322447275742888450623,\ +0.7636191300116479396820,0.6940386760979890823364,0.8735245508141815662384,\ +0.3612738298252224922180,0.7933200257830321788788,0.4830590635538101196289,\ +0.2469964125193655490875,0.5025922833010554313660,0.7430270477198064327240,\ +0.6783937942236661911011,0.4903185223229229450226,0.709806025959551334381,\ +0.3303662906400859355927,0.6815545372664928436279,0.0701365978457033634186,\ +0.4745870968326926231384,0.8091805852018296718597,0.9447045121341943740845,\ +0.5478458073921501636505,0.1216687532141804695129,0.9161847713403403759003,\ +0.3045207932591438293457,0.6502694808878004550934,0.0987624628469347953796,\ +0.8391053467057645320892,0.0328534897416830062866,0.3461971958167850971222,\ +0.2801467711105942726135,0.5500544901005923748016,0.0729318000376224517822,\ +0.0225322381593286991119,0.50267804320901632309,0.3478884599171578884125,\ +0.4298669416457414627075,0.3537984383292496204376,0.0529730813577771186829,\ +0.9533003675751388072968,0.1842019557952880859375,0.958756382111459970474,\ +0.3245136169716715812683,0.0003973259590566158295,0.0972583871334791183472,\ +0.4378789965994656086,0.3634226778522133827210,0.2685119728557765483856,\ +0.2770298384130001068115,0.8854365111328661441803,0.5216628303751349449158,\ +0.4979983693920075893,0.8733724001795053482056,0.4699407932348549365997,\ +0.9364062966778874397278,0.1337622734718024730682,0.2712419554591178894043,\ +0.1766990595497190952301,0.0543269468471407890320,0.8402757882140576839447,\ +0.7507283594459295272827,0.3062269617803394794464,0.9195641661062836647034,\ +0.1318263853900134563446,0.0826364941895008087158,0.8222710476256906986237,\ +0.4441085970029234886169,0.9617503038607537746429,0.0283641982823610305786,\ +0.1431905967183411121368,0.3793597565963864326477,0.6144003230147063732147,\ +0.2128270715475082397461,0.4704488315619528293610,0.2076055286452174186707,\ +0.7435979112051427364349,0.3391801547259092330933,0.2479635034687817096710,\ +0.6721735307946801185608,0.9013197491876780986786,0.2140864841639995574951,\ +0.8460668534971773624420,0.1650043567642569541931,0.4003686285577714443207,\ +0.5522825215011835098267,0.0638249483890831470490,0.6903966935351490974426,\ +0.8547787251882255077362,0.0291904583573341369629,0.5434663915075361728668,\ +0.6236743135377764701843,0.2417052476666867733002} + +#define ZSOURCEI {0.5503273960202932357788,0.6906704087741672992706,0.9835249418392777442932,\ +0.8285484607331454753876,0.2062614001333713531494,0.1944643096067011356354,\ +0.4367609983310103416443,0.8090620837174355983734,0.8818644303828477859497,\ +0.7404803228564560413361,0.7542522149160504341126,0.9921960639767348766327,\ +0.9886121451854705810547,0.0113218077458441257477,0.9367801276966929435730,\ +0.3874237253330647945404,0.2886805813759565353394,0.567788839805871248245,\ +0.7295644441619515419006,0.0303032915107905864716,0.2795897088944911956787,\ +0.7047131718136370182037,0.7442112853750586509705,0.8920237845741212368012,\ +0.1081438604742288589478,0.8751525697298347949982,0.9068333031609654426575,\ +0.2166852983646094799042,0.4824190363287925720215,0.7766945236362516880035,\ +0.4510916722938418388367,0.1300636469386518001556,0.5505470838397741317749,\ +0.6936193336732685565949,0.1749099576845765113831,0.8636093880049884319305,\ +0.2150467522442340850830,0.1886725709773600101471,0.1796098565682768821716,\ +0.4374312213622033596039,0.8514516223222017288208,0.7381969136185944080353,\ +0.8102188156917691230774,0.1460137623362243175507,0.8999849110841751098633,\ +0.4043733575381338596344,0.0156995235010981559753,0.6904196902178227901459,\ +0.2990311514586210250855,0.1383218024857342243195,0.8478512773290276527405,\ +0.3007262717001140117645,0.229154746979475021362,0.8078110129572451114655,\ +0.3176332255825400352478,0.6924462593160569667816,0.1364154014736413955689,\ +0.5433279541321098804474,0.3276594849303364753723,0.2006831648759543895721,\ +0.5037304237484931945801,0.4962565028108656406403,0.8996161324903368949890,\ +0.9357709079049527645111,0.3390339072793722152710,0.6029155333526432514191,\ +0.4153500730171799659729,0.3041478390805423259735,0.8489827848970890045166,\ +0.4482063786126673221588,0.0903797810897231101990,0.7382151386700570583344,\ +0.2669597584754228591919,0.8226196658797562122345,0.3985779182985424995422,\ +0.9789295899681746959686,0.3041231036186218261719,0.0663515278138220310211,\ +0.6667758254334330558777,0.7548807277344167232513,0.1922533493489027023315,\ +0.7942791883833706378937,0.5580398896709084510803,0.2016023616306483745575,\ +0.787146832793951034546,0.0955459238030016422272,0.6623697867617011070252,\ +0.864868474658578634262,0.7013061288744211196899,0.8015053984709084033966,\ +0.9135685982182621955872,0.6317234965972602367401,0.9346773549914360046387,\ +0.9157753759063780307770,0.0510348035022616386414,0.4329969524405896663666,\ +0.9721843507140874862671,0.8001508046872913837433,0.8452261472120881080627,\ +0.0610524858348071575165,0.8168097324669361114502,0.2101262793876230716705,\ +0.3055453812703490257263,0.9465212575159966945648,0.9269728232175111770630,\ +0.7737778765149414539337,0.5893978821113705635071,0.2377697187475860118866,\ +0.5269544571638107299805,0.0077543654479086399078,0.8311711428686976432800,\ 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+0.0695185582153499126434,0.4696230851113796234131,0.9544191421009600162506,\ +0.3679352095350623130798,0.2973918146453797817230,0.0415310803800821304321,\ +0.4892336544580757617950,0.5171590568497776985169,0.3534862431697547435761,\ +0.2354387864470481872559,0.6779259913600981235504,0.3834532154724001884460,\ +0.3174350797198712825775,0.3418120350688695907593,0.0535557498224079608917,\ +0.9285596096888184547424,0.3862650538794696331024,0.4328473098576068878174,\ +0.1581165478564798831940,0.7887120461091399192810,0.7448797873221337795258,\ +0.5185996759682893753052,0.8651678604073822498322,0.1524438308551907539368,\ +0.2392775672487914562225,0.5761575847864151000977,0.7395762302912771701813,\ +0.0583172617480158805847,0.6962534948252141475678,0.4206145536154508590698,\ +0.0281158541329205036163,0.8313249954953789710999,0.2333360086195170879364,\ +0.8865877203643321990967,0.3746785433031618595123,0.87671328987926244736,\ +0.4027077830396592617035,0.2890332732349634170532,0.8538430598564445972443,\ +0.5499771209433674812317,0.5128610017709434032440,0.6321087554097175598145,\ +0.4165538274683058261871,0.3217771751806139945984,0.9717370062135159969330,\ +0.5348322447389364242554,0.3416590173728764057159,0.9565287167206406593323,\ +0.9951003189198672771454,0.3422884084284305572510,0.7870580093003809452057,\ +0.9234123295173048973084,0.5238970420323312282562} + +#define ZRESULTR {0.6700223015238303547747,0.9051590648529930227539,0.9783774998303537140387,\ +0.9672554578415690773596,0.1806879116022510611828,0.2113884833531175511112,\ +0.6724311908168314477763,0.2759693779071136221504,0.0171117603025009445972,\ +0.2676571377242007998554,0.7836070482910290069256,0.9837911114618788088748,\ +1.0787649507707848250959,0.3258715909732741722316,0.8818391305817397940459,\ +0.3412489698350346656319,0.6791962837910036077105,0.7436127103435716811930,\ +0.40184826884232582866,0.6757254959645757619313,0.6216816234807176488886,\ +0.7106811634553994450059,0.5496317899100798820555,1.015517869987778709628,\ +0.5020506061187628432663,0.9811456923663512963429,0.0682501782366792819623,\ +0.3276872649171290174941,0.6393144648282618192070,0.9360249253515308121010,\ +0.3486021801541281939230,0.405155698729944113712,0.5200555835311830854550,\ +0.8452234271752276928424,0.3567295147730688009702,0.8928456199942530480129,\ +0.5846382117554749235922,0.6534877266970448017602,0.2555268336748864332897,\ +0.5599022272385358878211,0.4549851524880720865518,0.6983186009546583639107,\ +0.3278445848029415965463,0.7317436304730139395858,0.9243668151604532701171,\ +0.4997101034619103598899,0.6512014053656888235011,0.7461784468374338397112,\ +0.5613804235723615088105,0.309377290465780441231,0.6302193796318024121561,\ +0.3488048678688123183100,0.2359369023748482674385,0.5207697215592063111345,\ +0.4975483327992256676886,0.8371220343907752603485,0.1171268218028372609663,\ +0.085272785233540815408,0.0974986984973703479929,0.5164560743022618138909,\ +0.2683348894394235739647,0.7764310536494951620057,0.8045234481921298419493,\ +0.6958959159533119054331,0.1940650650900959395262,0.0075996484393591736892,\ +0.3536342521606328781481,0.6152689741862609196232,0.9952856734893198442649,\ +0.8206704954595607226509,0.0459255053037718463660,0.6307753783837566352588,\ +0.6388147154641353742122,0.6937233166977520015806,0.5697295509652193779004,\ +0.1802327077236753061218,0.1675371469878289276689,0.7230999921866064772402,\ +0.7176490691010239952874,0.5749086647774364067232,0.7279693322506849417763,\ +0.5413870504782296588786,0.1504476557625347432623,0.6581157602540366191590,\ +0.8675383161064098569426,0.6076707020048850438343,0.7819483789931592765399,\ +0.9976690503006511168138,0.8038234125831255072470,0.9466047824946693944881,\ +1.0263044057305568124150,0.1954383476167207978058,0.9991226583234396052546,\ +0.5824462236684256888353,0.3833026614151368027805,0.3492943337672331227672,\ +0.3315115099350262606315,0.9442386171423264862312,0.9899258002262354416700,\ +0.7216294786971718666635,0.3920325460401206107974,0.5034740230892749135450,\ +0.715969761025848305813,0.9550125571098367904810,1.0265780142294762544708,\ +0.8803585794351714843842,0.6748726933268143213240,0.6286862272305427934427,\ +0.4593360950510761986365,0.3269925373376404986736,0.8950979801820350134634,\ +0.6434757060207739742808,0.6268824366882729259842,0.7824259493911607243888,\ +0.4869178781705328362683,0.6618946105318512795890,0.6319261919275969141552,\ +0.2444724751522657224534,0.4924981727592058766696,0.9272283746811394999909,\ +0.6354081057135144705583,0.5455716136398853777223,0.9397290975289604997300,\ +0.3281437517029104355970,0.7390025847943897385761,0.1571298352097142136952,\ +0.6681717696917298665582,0.893260926700763513431,1.0727843133940448971941,\ +0.7758756582495047737780,0.2577884404871108037227,1.0152118695965053341013,\ +0.553316515865495128779,0.6088582613070312454795,0.1618775254222162562900,\ +0.8458278989313633422498,0.0331641659985394132715,0.4056540942022494600217,\ +0.4254458405105830398618,0.6108828412056167556088,0.1710530527126769284596,\ +0.0497407205620656947542,0.4747317015892947855704,0.3618696796533303894350,\ +0.4287418625744875422257,0.3485740919790226710617,0.1655375133873851212218,\ +0.7428884062630719542497,0.2271172969578298117543,1.0587395337282918816868,\ +0.3549940948693925402147,0.0004346469449674766222,0.0971187244038783509259,\ +0.5043807505243238509252,0.4434874448032950500220,0.2951797103676901401492,\ +0.2845053188094572860223,0.8815102337365799956004,0.5368898054807562658652,\ +0.4988328370209159090543,0.745435623332440511213,0.4391683137636283595917,\ +1.0422403039497714072326,0.1545117394214212958037,0.3165746040477503964183,\ +0.1791895467797269270172,0.1089461488105609721089,0.9065124792766549033374,\ +0.7446224625751999282031,0.6296662678760955866864,0.7337000953456223051319,\ +0.1387263358911398902773,0.1169149268680415021393,0.8975235374861081361075,\ +0.4182178630757872883628,0.9119369228139623251295,0.0340248805832462572485,\ +0.1423301258754861298161,0.6888548451397347172076,0.5685106882588889520847,\ +0.4923020191500164788323,0.4917581413760083730580,0.4716616017939372351719,\ +0.6955693872489776552470,0.3523112018531558975454,0.5222250480132760719343,\ +0.7144705774015845944902,0.8119440584245034564503,0.3164274689259520823015,\ +0.7538323331802344595687,0.1811571114058267151226,0.9128449761317551924833,\ +0.6233160136433549824986,0.0717615749734574065455,1.0473491540209625139113,\ +1.0924869453095222837646,0.0328835678516360627177,0.7973589739562461087274,\ +0.9908609316019793000763,0.3104246876762664641980} + +#define ZRESULTI {0.3914561710408779870996,0.2745677431871340612446,0.8850988190375015385314,\ +0.3546606100359354085683,0.2026838146454169320432,0.1884673919393772267839,\ +0.2801601885873738484456,1.0096958835716720592757,1.21412343558816204769,\ +0.8776375911322839007411,0.5620073675207013508270,0.9130433942963852578245,\ +0.5770284711891953133289,0.0101200891695042028556,0.8779935002098492313749,\ +0.3667139971005198284537,0.1664312994282131086266,0.3494312783943472333625,\ +0.8104125516371111226377,0.0164786111567649697085,0.1816457336156695190343,\ +0.5593166230651334114299,0.7569161316066348454967,0.3415023725885689698245,\ +0.0814423238542508892701,0.4465689540632135634546,1.275733507144991119020,\ +0.197487841611818731868,0.3421719548772197971864,0.3349549978483222778536,\ +0.4357966181675047567801,0.1096343010109522564388,0.4859836370575167374675,\ +0.3800931088000560897910,0.1548265257107722947527,0.6348894325615116462913,\ +0.1460748031318926942745,0.1110957110750060844451,0.1700664034230296439709,\ +0.3412176537402174525404,1.0332395638414424432483,0.6273383485614248966655,\ +0.9957192459042429888427,0.0691093109901288471519,0.6804424693811944591104,\ +0.3344738416260302771299,0.0090436204351948476510,0.5006804162977720462635,\ +0.2172201211207329951680,0.1261162082552027552396,0.9120640605812813106468,\ +0.2753688308103523496584,0.2209039383694014757609,0.8997305533684579748055,\ +0.2536420004619579504634,0.3903699376999557602019,0.1354191697515705339328,\ +0.6007399379388951299319,0.3370127497194151389159,0.1507780721992685313282,\ +0.5203153088877445764382,0.254583375618394558426,0.8702994198605253917123,\ +1.0924089238964773684870,0.3407939274374255367306,0.6883985279629690756664,\ +0.3940203751449571356602,0.2021529986071308460094,0.2883410464579913012884,\ +0.1832164764792163502705,0.0904370855097187398286,0.6870692259557662495695,\ +0.1667494081756663859562,0.7986735402486416779411,0.2997470364729120650971,\ +1.4723672873315984954701,0.3058215886262277694030,0.0317778181669746695448,\ +0.4953897349233554736614,0.7593857543036769408573,0.0933417291983620195373,\ +0.8587250458616788595379,0.6140082043678934953235,0.1179425317948916696054,\ +0.5008800041022678506408,0.0606528647874819346053,0.4208891412439614287955,\ +0.3345057926491249999934,0.4488362148523600825278,0.356228513965734405744,\ +0.3862019012866550471408,0.7133939454258028112221,0.6183512140459618278143,\ +1.122372846973830329276,0.0435912326295722213354,0.4149318455829275609226,\ +1.4136182419356593253923,0.360095911709175209303,0.3059781012378688380693,\ +0.0293528815458468754496,0.9850054988638156094893,0.1610071461548980287226,\ +0.1615738175268226772818,0.7804595725744208900565,0.4664649257591839126569,\ +0.4516332153201338406312,0.4324429865103157633044,0.1499229835931424337225,\ +0.4861395789308433634801,0.0069254200843589181283,0.5470248281814621416075,\ +0.0157419761082240212968,0.1652796264802975090280,0.2251845784941430561599,\ +0.5809144105432306748327,0.0370371154221026954723,0.5409142410066014594605,\ +0.0961579912696427369090,0.2170435871168209518434,0.4413938390627674124289,\ +0.2180518991856933708196,0.3882731529916919055445,0.4793791546290147587150,\ +0.1615500633583723533171,0.3727683427019338191499,1.1092002442556854191480,\ +0.6007159335006776457178,0.3670729131136168943428,0.3082959548830728202518,\ +0.5833221942824414751883,1.0459318594890267828390,0.3263494274187709875967,\ +0.8544844347571096676575,0.2053831793406840910965,0.7963141410348304471967,\ +0.3137393761405720127300,0.0990397931617461729781,0.4344101753145302446946,\ +0.7023788886417181576150,0.3911554522022889779365,1.1544412437572197926983,\ +1.0984333102013155158971,0.1328621940810992829718,0.268167531788618462851,\ +0.2190523476868022068054,0.1514050595867235948777,1.452314392851102864412,\ +0.0312862499326923282350,0.4864975811326933685663,0.3000795354832859751504,\ +0.3425769720223186820540,0.3064807342294366687696,0.0411636957365836206324,\ +0.4217989293277185081088,0.4809545441238126106676,0.3404220390913085259044,\ +0.2214498702533347351817,0.3018772698523388142711,0.2996779751331964392058,\ +0.2530674633040843612974,0.1693130128868851891344,0.0432918302807213800643,\ +0.3147578695966239403781,0.3983398179395671312442,0.4233396532725078320603,\ +0.1544509091417925472634,1.000697611141370568788,0.3487050795605025621526,\ +0.3006071168291280515383,0.9542614300639570279472,0.0718340034799053589465,\ +0.2395154786718341477503,0.6434277607558438472069,0.3585399891990152521082,\ +0.0482004898594938432921,0.2679535503180693334357,0.4468782830994436072736,\ +0.0275539888537934679613,0.8228411197528838760817,0.1637277172538824099313,\ +1.0994704384405307173722,0.3084433992108448485681,1.0856016429316568405739,\ +0.2389273879432435854220,0.2631293443272026966184,1.0016126450700377770175,\ +0.3562135410626017795188,0.2353197404250201296705,0.6834823618792332799998,\ +0.2126404560740041416178,0.3234875849405334791165,0.9562375286253093076283,\ +0.4069690501749418376498,0.3539780611029934576095,0.5294802297322954709458,\ +0.3733196120144765539628,0.3559718013547358839155,0.6068341504607892566980,\ +0.5969952503542278465787,0.5352237566999263895795} + + + +void dtanhsTest(void) { + double in[]=SOURCE; + double res[]=RESULT; + double out; + int i; + + for (i=0;i<200;i++){ + out=dtanhs(in[i]); + assert(( (fabs(out-res[i]))/(fabs(out)) )<3e-16); + } +} + +void ztanhsTest(void) { + double inR[]=ZSOURCER; + double inI[]=ZSOURCEI; + double resR[]=ZRESULTR; + double resI[]=ZRESULTI; + doubleComplex in,out; + int i; + + for (i=0;i<200;i++){ + in=DoubleComplex(inR[i],inI[i]); + out=ztanhs(in); + assert(( (fabs(zreals(out)-resR[i]))/(fabs(zreals(out))) )<3e-15); + assert(( (fabs(zimags(out)-resI[i]))/(fabs(zimags(out))) )<3e-15); + } +} + +void dtanhaTest(void) { + double in[]=SOURCE; + double res[]=RESULT; + double out[200]; + int i; + + dtanha(in,200,out); + for (i=0;i<200;i++){ + assert(( (fabs(out[i]-res[i]))/(fabs(out[i])) )<3e-15); + } +} + +void ztanhaTest(void) { + double inR[]=ZSOURCER; + double inI[]=ZSOURCEI; + double resR[]=ZRESULTR; + double resI[]=ZRESULTI; + doubleComplex *in,out[200]; + int i; + + + in=DoubleComplexMatrix(inR,inI,200); + ztanha(in,200,out); + + for (i=0;i<200;i++){ + assert(( (fabs(zreals(out[i])-resR[i]))/(fabs(zreals(out[i]))) )<3e-15); + assert(( (fabs(zimags(out[i])-resI[i]))/(fabs(zimags(out[i]))) )<3e-15); + } +} + + +int testTanh() { + printf("\n>>>> Double Hyperbolic Tangeant Tests\n"); + dtanhsTest(); + ztanhsTest(); + dtanhaTest(); + ztanhaTest(); + return 0; +} + +int main() { + assert(testTanh() == 0); + return 0; +} diff --git a/2.3-1/src/c/elementaryFunctions/tanh/testFloatTanh.c b/2.3-1/src/c/elementaryFunctions/tanh/testFloatTanh.c new file mode 100644 index 00000000..33b86684 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/tanh/testFloatTanh.c @@ -0,0 +1,494 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2008 - INRIA - Arnaud TORSET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "testTanh.h" + +#define SOURCE {0.7062616096809506416321f,0.4090520101599395275116f,0.3011248558759689331055f,\ +0.1880126395262777805328f,0.1796709178015589714050f,0.2828889950178563594818f,\ +0.7232380937784910202026f,0.7360379849560558795929f,0.1852612206712365150452f,\ +0.7703790138475596904755f,0.1914967410266399383545f,0.7521587223745882511139f,\ +0.6205883463844656944275f,0.2807604051195085048676f,0.2289868686348199844360f,\ +0.5049233403988182544708f,0.8354099662974476814270f,0.8174716415815055370331f,\ +0.0030740275979042053223f,0.3677616142667829990387f,0.8278525872156023979187f,\ +0.72754097869619727135f,0.5323124285787343978882f,0.9267726917751133441925f,\ +0.9542504185810685157776f,0.3162104780785739421845f,0.5789009965956211090088f,\ +0.6881225542165338993073f,0.3714061146602034568787f,0.1705444059334695339203f,\ +0.1954363007098436355591f,0.978800852317363023758f,0.9300233917310833930969f,\ +0.5357720064930617809296f,0.3947123587131500244141f,0.1344871171750128269196f,\ +0.7380615202710032463074f,0.588114650454372167587f,0.9113173168152570724487f,\ +0.5682763461954891681671f,0.1127616921439766883850f,0.9478473584167659282684f,\ +0.5237770043313503265381f,0.8140139640308916568756f,0.1400952627882361412048f,\ +0.2763446993194520473480f,0.9059953633695840835571f,0.1379901585169136524200f,\ +0.5603838684037327766419f,0.3008610638789832592011f,0.4767417535185813904f,\ +0.8127435916103422641754f,0.1988414181396365165710f,0.1107953130267560482025f,\ +0.2159351315349340438843f,0.6467244853265583515167f,0.6597879612818360328674f,\ +0.0691898013465106487274f,0.9164751060307025909424f,0.8635670826770365238190f,\ +0.5032854294404387474060f,0.1832137755118310451508f,0.8403698671609163284302f,\ +0.9247214836068451404572f,0.6229452537372708320618f,0.2773811477236449718475f,\ +0.2479109913110733032227f,0.3891948559321463108063f,0.0436578569933772087097f,\ +0.8132526441477239131928f,0.7686451207846403121948f,0.4041520212776958942413f,\ +0.8579940209165215492249f,0.6993723283521831035614f,0.0828925184905529022217f,\ +0.9201254160143435001373f,0.5200281282886862754822f,0.9351884997449815273285f,\ +0.8825624976307153701782f,0.2245844271965324878693f,0.2153332801535725593567f,\ +0.4327089670114219188690f,0.5800157263875007629395f,0.8876141034997999668121f,\ +0.5258982880041003227234f,0.859640696551650762558f,0.7337234076112508773804f,\ +0.7134532411582767963409f,0.1087165409699082374573f,0.8477638359181582927704f,\ +0.6594733335077762603760f,0.7916418449021875858307f,0.6067967480048537254334f,\ +0.4102901122532784938812f,0.1958728153258562088013f,0.241527963895350694656f,\ +0.5113455550745129585266f,0.9119556057266891002655f,0.0928984880447387695313f,\ +0.7438839026726782321930f,0.1938720373436808586121f,0.4355978979729115962982f,\ +0.9922429900616407394409f,0.4533818070776760578156f,0.8269640663638710975647f,\ +0.8889675955288112163544f,0.4682085178792476654053f,0.3856786251999437808991f,\ +0.4124865522608160972595f,0.6955242282710969448090f,0.0978972557932138442993f,\ +0.8728604433126747608185f,0.6359515609219670295715f,0.4129665228538215160370f,\ +0.0294486805796623229980f,0.1809961968101561069489f,0.7658103061839938163757f,\ +0.1232470511458814144135f,0.0170737411826848983765f,0.8835507561452686786652f,\ +0.3164170170202851295471f,0.9378212536685168743134f,0.3916359134018421173096f,\ +0.0844073877669870853424f,0.6934146797284483909607f,0.4618808380328118801117f,\ +0.9355291295796632766724f,0.0842495900578796863556f,0.5402926551178097724915f,\ +0.5613215523771941661835f,0.1306025832891464233398f,0.5840523042716085910797f,\ +0.0048661706969141960144f,0.2761953338049352169037f,0.7478824090212583541870f,\ +0.0194325004704296588898f,0.6444276878610253334045f,0.2243968318216502666473f,\ +0.2478402368724346160889f,0.1196091384626924991608f,0.1883201440796256065369f,\ +0.3393343067727982997894f,0.959958622232079505920f,0.2847225037403404712677f,\ +0.8766820700839161872864f,0.2853349032811820507050f,0.5103433504700660705566f,\ +0.8752629184164106845856f,0.5941145820543169975281f,0.3945342986844480037689f,\ +0.4661326166242361068726f,0.0073588271625339984894f,0.5170202488079667091370f,\ +0.4690007264725863933563f,0.6654530800879001617432f,0.9476742581464350223541f,\ +0.4933638339862227439880f,0.2918433747254312038422f,0.2016727942973375320435f,\ +0.7016656589694321155548f,0.8736049132421612739563f,0.191055159550160169601f,\ +0.5307010114192962646484f,0.8889481076039373874664f,0.0115523664280772209167f,\ +0.4998398735187947750092f,0.6700848620384931564331f,0.4995208983309566974640f,\ +0.1538907447829842567444f,0.2571737091057002544403f,0.9586529098451137542725f,\ +0.6246025026775896549225f,0.9371285131201148033142f,0.9923511571250855922699f,\ +0.3454555813223123550415f,0.7558249053545296192169f,0.2107181670144200325012f,\ +0.9372652801685035228729f,0.6767524704337120056152f,0.7465373151935636997223f,\ +0.4050982249900698661804f,0.5101723610423505306244f,0.9497965183109045028687f,\ +0.0289692510850727558136f,0.1634070957079529762268f,0.4146909262053668498993f,\ +0.0021650679409503936768f,0.1810030029155313968658f,0.4556188201531767845154f,\ +0.1977851442061364650726f,0.6053877938538789749146f,0.4363054675050079822540f,\ +0.8938506888225674629211f,0.6104825991205871105194f,0.4316215068101882934570f,\ +0.2315693595446646213532f,0.4675927339121699333191f,0.6150764389894902706146f,\ +0.8621218334883451461792f,0.3846137975342571735382f} + +#define RESULT {0.6083272331025194601395f,0.3876674561956683362496f,0.2923416719993215950879f,\ +0.1858281840181150723623f,0.1777622033720960281755f,0.2755767974985386392639f,\ +0.6189110466547474986854f,0.6267454363670084127591f,0.1831704252906815044710f,\ +0.6471497862444923754310f,0.1891897820789192330437f,0.6364350501403950310930f,\ +0.5515375365220808179245f,0.2736087067004031037065f,0.2250667607234114742099f,\ +0.4659802867043164043004f,0.6833702176797041838441f,0.6736913883505325495449f,\ +0.0030740179151169427958f,0.3520322698255886617602f,0.6793212620436761550735f,\ +0.6215586405472446340781f,0.4871467381023854570366f,0.7290856689840882198794f,\ +0.7417012620322497307157f,0.3060764076080783047118f,0.5218661923298004712279f,\ +0.5967745422524275422660f,0.3552210140242362257368f,0.1689099681737986358154f,\ +0.1929854853271556480721f,0.752546334797111304837f,0.7306048018962054690917f,\ +0.4897808669902837253041f,0.3754155858264546230529f,0.1336821273676178090106f,\ +0.6279725491443334250974f,0.5285382896600216984240f,0.7217639239261176564710f,\ +0.5140922941464451945137f,0.1122861813568946515174f,0.7388069522259688159949f,\ +0.4806098503179282999120f,0.6717986111263679616101f,0.1391858664071369267035f,\ +0.2695186533316221155765f,0.7192045990350994788543f,0.1371209417264223628941f,\ +0.5082621919460940107527f,0.2921004060298734161805f,0.4436303990482610704049f,\ +0.6711009797617260019820f,0.1962616190799932602840f,0.1103441684263640337749f,\ +0.2126403628770875964271f,0.5694607822364758931144f,0.5782222848708917783966f,\ +0.0690796032269536119941f,0.7242256121481682740182f,0.69809096281132376749f,\ +0.4646970495827091318652f,0.1811909351875044538183f,0.6860049185734097276779f,\ +0.7281233753912585981993f,0.5531753555435303670862f,0.2704795450464865247398f,\ +0.2429539608603658584762f,0.3706659125047845337875f,0.0436301407089985798793f,\ +0.6713806714122574348380f,0.6461409215061649780054f,0.3834959767038711997422f,\ +0.6952226974662015779316f,0.6039692179338833621927f,0.0827031826719682033877f,\ +0.7259567403708432342668f,0.4777217213658969674484f,0.7330037868445029580755f,\ +0.7077007368815937393691f,0.2208832069439833623026f,0.2120656512810102645172f,\ +0.4075827434794156989284f,0.5226768598581769120770f,0.7102132909685879846862f,\ +0.4822394836530664030683f,0.6960725041612901842214f,0.6253380086104668444946f,\ +0.6128377044260436834477f,0.1082902389835735668111f,0.6898994401629748862703f,\ +0.5780128119634093675217f,0.6593381318630107124079f,0.5418683181743142451836f,\ +0.3887189835668665716106f,0.1934057072291916479223f,0.2369384549831176911550f,\ +0.4709929270514126020686f,0.7220695597477664318120f,0.0926321653854568632935f,\ +0.6314859919362979523427f,0.1914790269022769997331f,0.4099889146528875039088f,\ +0.7583171167988222993728f,0.4246748836724252296193f,0.6788424846042582228023f,\ +0.7108834330723724503898f,0.4367506950167392987261f,0.3676288421910962611605f,\ +0.3905819425256221721909f,0.6015191410314820741334f,0.0975857051379892537213f,\ +0.7028245349377849615635f,0.5621367138424371301397f,0.3909886152936559167159f,\ +0.0294401706564003176614f,0.1790453013287252037600f,0.6444866108356477329977f,\ +0.1226267854182154504183f,0.0170720823056739953727f,0.7081936907445306461639f,\ +0.3062635855747415369876f,0.7342196272687927516287f,0.3727696775311670207564f,\ +0.0842075009021545223264f,0.6001711719907401043628f,0.4316159054333421063454f,\ +0.7331613587758020189611f,0.0840508200406931138549f,0.4932094637687579607999f,\ +0.5089573121007661127280f,0.1298650506608897969851f,0.5256044879043626494308f,\ +0.0048661322875914753833f,0.2693801321981743046585f,0.6338839281129466929343f,\ +0.0194300547927987350694f,0.5679067732631524201281f,0.2207047568409323534677f,\ +0.2428873816732023682707f,0.1190419938419155360121f,0.1861250528158440442628f,\ +0.3268829619862821389553f,0.7442584101595816070685f,0.2772702073231406161291f,\ +0.7047532323150516031518f,0.2778354302962353084006f,0.4702126778004429574764f,\ +0.7040382261737980762462f,0.5328484040985558278791f,0.3752626107952297673798f,\ +0.43506925228714365961f,0.0073586943328478923027f,0.4753969607482095849349f,\ +0.4373915670200547722857f,0.5819809696038570345777f,0.7387283262105414083365f,\ +0.4568821823646959101595f,0.2838305708191527498840f,0.1989824153354164404384f,\ +0.6054239725907547553518f,0.7032010676851431218992f,0.1887639704824971842445f,\ +0.4859167650222710466146f,0.7108737933392066388194f,0.0115518525401329084923f,\ +0.461991216833716300538f,0.5850357022343135593445f,0.4617402854275272083839f,\ +0.1526873114812071496882f,0.2516501130208930181453f,0.7436753924988391828421f,\ +0.5543244269171754279313f,0.7339001657945646295289f,0.7583630791792929093376f,\ +0.3323391775157006899910f,0.6386111600303081559105f,0.2076538016886759763224f,\ +0.7339632624841636587831f,0.5894041048692751916249f,0.6330786187202321890766f,\ +0.3843027300435838400361f,0.4700794834210440531486f,0.7396909169647786219670f,\ +0.0289611499702619457075f,0.1619680384735620870540f,0.3924484198089013831101f,\ +0.0021650645580242309542f,0.1790518892412555074234f,0.4265067109232646425099f,\ +0.1952458211607971949597f,0.5408723031703753791888f,0.4105773773696593798022f,\ +0.7132904548568874680825f,0.5444667235672814298297f,0.4066755344379027192758f,\ +0.2275170058253208615895f,0.4362522385676954606026f,0.5476906607425194861705f,\ +0.6973492805657204307579f,0.3667075667170831554387f} + +#define CSOURCER {0.6045256052166223526001f,0.9455216196365654468536f,0.4476299257948994636536f,\ +0.8624908211641013622284f,0.1751048639416694641113f,0.2067177616991102695465f,\ +0.6848411662504076957703f,0.1348653226159512996674f,0.0069159921258687973022f,\ +0.1496290047653019428253f,0.5665438110008835792542f,0.4359452719800174236298f,\ +0.6547604538500308990479f,0.3381605879403650760651f,0.4259321158751845359802f,\ +0.3060420057736337184906f,0.7704779822379350662231f,0.7058695447631180286408f,\ +0.2373670237138867378235f,0.8205849635414779186249f,0.6789963841438293457031f,\ +0.5250809141434729099274f,0.3359806565567851066589f,0.8941988362930715084076f,\ +0.5461782198399305343628f,0.7568633262999355792999f,0.0259526828303933143616f,\ +0.3250150899402797222138f,0.6072143577039241791f,0.8756139636971056461334f,\ +0.2962085595354437828064f,0.4229678637348115444183f,0.4243144039064645767212f,\ +0.7620028969831764698029f,0.3622896494343876838684f,0.5658242437057197093964f,\ +0.6424440070986747741699f,0.7580267959274351596832f,0.2531452132388949394226f,\ +0.5266989110969007015228f,0.2118590380996465682983f,0.4779220153577625751495f,\ +0.1615962767973542213440f,0.9168031658045947551727f,0.5461866445839405059815f,\ +0.4686870560981333255768f,0.7772213732823729515076f,0.5871783248148858547211f,\ +0.5848031807690858840942f,0.3139644009061157703400f,0.3204141603782773017883f,\ +0.3331634956412017345429f,0.2282590121030807495117f,0.2750317254103720188141f,\ +0.4963629124686121940613f,0.7453477247618138790131f,0.1155001949518918991089f,\ +0.0626524840481579303741f,0.0877018878236413002014f,0.5507565210573375225067f,\ +0.2116370312869548797607f,0.8335358710028231143951f,0.4045845707878470420837f,\ +0.2880227542482316493988f,0.1750094983726739883423f,0.0051561561413109302521f,\ +0.3109287889674305915833f,0.6602919283322989940643f,0.9722995534539222717285f,\ +0.9826813959516584873200f,0.0455837054178118705750f,0.4096118300221860408783f,\ +0.7104403134435415267944f,0.3917615194804966449738f,0.5571686858311295509338f,\ +0.0565565521828830242157f,0.1540721096098423004150f,0.9109257892705500125885f,\ +0.5713340407237410545349f,0.3488348922692239284515f,0.8972954172641038894653f,\ +0.2973396372981369495392f,0.1091936426237225532532f,0.7626331257633864879608f,\ +0.6584706604480743408203f,0.6996708759106695652008f,0.6756794182583689689636f,\ +0.9004421546123921871185f,0.6668148916214704513550f,0.8518152837641537189484f,\ +0.8365677157416939735413f,0.1291190306656062602997f,0.6095453463494777679443f,\ +0.2412315667606890201569f,0.4029275467619299888611f,0.3019328541122376918793f,\ +0.1083198729902505874634f,0.8456356939859688282013f,0.9417407037690281867981f,\ +0.9083450469188392162323f,0.1937242373824119567871f,0.5318046086467802524567f,\ +0.8314437521621584892273f,0.4952740012668073177338f,0.7465563025325536727905f,\ +0.7102393140085041522980f,0.5811418974772095680237f,0.7035941029898822307587f,\ +0.3746570833027362823486f,0.3394373343326151371002f,0.6322447275742888450623f,\ +0.7636191300116479396820f,0.6940386760979890823364f,0.8735245508141815662384f,\ +0.3612738298252224922180f,0.7933200257830321788788f,0.4830590635538101196289f,\ +0.2469964125193655490875f,0.5025922833010554313660f,0.7430270477198064327240f,\ +0.6783937942236661911011f,0.4903185223229229450226f,0.709806025959551334381f,\ +0.3303662906400859355927f,0.6815545372664928436279f,0.0701365978457033634186f,\ +0.4745870968326926231384f,0.8091805852018296718597f,0.9447045121341943740845f,\ +0.5478458073921501636505f,0.1216687532141804695129f,0.9161847713403403759003f,\ +0.3045207932591438293457f,0.6502694808878004550934f,0.0987624628469347953796f,\ +0.8391053467057645320892f,0.0328534897416830062866f,0.3461971958167850971222f,\ +0.2801467711105942726135f,0.5500544901005923748016f,0.0729318000376224517822f,\ +0.0225322381593286991119f,0.50267804320901632309f,0.3478884599171578884125f,\ +0.4298669416457414627075f,0.3537984383292496204376f,0.0529730813577771186829f,\ +0.9533003675751388072968f,0.1842019557952880859375f,0.958756382111459970474f,\ +0.3245136169716715812683f,0.0003973259590566158295f,0.0972583871334791183472f,\ +0.4378789965994656086f,0.3634226778522133827210f,0.2685119728557765483856f,\ +0.2770298384130001068115f,0.8854365111328661441803f,0.5216628303751349449158f,\ +0.4979983693920075893f,0.8733724001795053482056f,0.4699407932348549365997f,\ +0.9364062966778874397278f,0.1337622734718024730682f,0.2712419554591178894043f,\ +0.1766990595497190952301f,0.0543269468471407890320f,0.8402757882140576839447f,\ +0.7507283594459295272827f,0.3062269617803394794464f,0.9195641661062836647034f,\ +0.1318263853900134563446f,0.0826364941895008087158f,0.8222710476256906986237f,\ +0.4441085970029234886169f,0.9617503038607537746429f,0.0283641982823610305786f,\ +0.1431905967183411121368f,0.3793597565963864326477f,0.6144003230147063732147f,\ +0.2128270715475082397461f,0.4704488315619528293610f,0.2076055286452174186707f,\ +0.7435979112051427364349f,0.3391801547259092330933f,0.2479635034687817096710f,\ +0.6721735307946801185608f,0.9013197491876780986786f,0.2140864841639995574951f,\ +0.8460668534971773624420f,0.1650043567642569541931f,0.4003686285577714443207f,\ +0.5522825215011835098267f,0.0638249483890831470490f,0.6903966935351490974426f,\ +0.8547787251882255077362f,0.0291904583573341369629f,0.5434663915075361728668f,\ +0.6236743135377764701843f,0.2417052476666867733002f} + +#define CSOURCEI {0.5503273960202932357788f,0.6906704087741672992706f,0.9835249418392777442932f,\ +0.8285484607331454753876f,0.2062614001333713531494f,0.1944643096067011356354f,\ +0.4367609983310103416443f,0.8090620837174355983734f,0.8818644303828477859497f,\ +0.7404803228564560413361f,0.7542522149160504341126f,0.9921960639767348766327f,\ +0.9886121451854705810547f,0.0113218077458441257477f,0.9367801276966929435730f,\ +0.3874237253330647945404f,0.2886805813759565353394f,0.567788839805871248245f,\ +0.7295644441619515419006f,0.0303032915107905864716f,0.2795897088944911956787f,\ +0.7047131718136370182037f,0.7442112853750586509705f,0.8920237845741212368012f,\ +0.1081438604742288589478f,0.8751525697298347949982f,0.9068333031609654426575f,\ +0.2166852983646094799042f,0.4824190363287925720215f,0.7766945236362516880035f,\ +0.4510916722938418388367f,0.1300636469386518001556f,0.5505470838397741317749f,\ +0.6936193336732685565949f,0.1749099576845765113831f,0.8636093880049884319305f,\ +0.2150467522442340850830f,0.1886725709773600101471f,0.1796098565682768821716f,\ +0.4374312213622033596039f,0.8514516223222017288208f,0.7381969136185944080353f,\ +0.8102188156917691230774f,0.1460137623362243175507f,0.8999849110841751098633f,\ +0.4043733575381338596344f,0.0156995235010981559753f,0.6904196902178227901459f,\ +0.2990311514586210250855f,0.1383218024857342243195f,0.8478512773290276527405f,\ +0.3007262717001140117645f,0.229154746979475021362f,0.8078110129572451114655f,\ +0.3176332255825400352478f,0.6924462593160569667816f,0.1364154014736413955689f,\ +0.5433279541321098804474f,0.3276594849303364753723f,0.2006831648759543895721f,\ +0.5037304237484931945801f,0.4962565028108656406403f,0.8996161324903368949890f,\ +0.9357709079049527645111f,0.3390339072793722152710f,0.6029155333526432514191f,\ +0.4153500730171799659729f,0.3041478390805423259735f,0.8489827848970890045166f,\ +0.4482063786126673221588f,0.0903797810897231101990f,0.7382151386700570583344f,\ +0.2669597584754228591919f,0.8226196658797562122345f,0.3985779182985424995422f,\ +0.9789295899681746959686f,0.3041231036186218261719f,0.0663515278138220310211f,\ +0.6667758254334330558777f,0.7548807277344167232513f,0.1922533493489027023315f,\ +0.7942791883833706378937f,0.5580398896709084510803f,0.2016023616306483745575f,\ +0.787146832793951034546f,0.0955459238030016422272f,0.6623697867617011070252f,\ +0.864868474658578634262f,0.7013061288744211196899f,0.8015053984709084033966f,\ +0.9135685982182621955872f,0.6317234965972602367401f,0.9346773549914360046387f,\ +0.9157753759063780307770f,0.0510348035022616386414f,0.4329969524405896663666f,\ +0.9721843507140874862671f,0.8001508046872913837433f,0.8452261472120881080627f,\ +0.0610524858348071575165f,0.8168097324669361114502f,0.2101262793876230716705f,\ +0.3055453812703490257263f,0.9465212575159966945648f,0.9269728232175111770630f,\ +0.7737778765149414539337f,0.5893978821113705635071f,0.2377697187475860118866f,\ +0.5269544571638107299805f,0.0077543654479086399078f,0.8311711428686976432800f,\ +0.0268517597578465938568f,0.2591186594218015670776f,0.4641277943737804889679f,\ +0.6098861405625939369202f,0.0656952331773936748505f,0.6466812007129192352295f,\ +0.1018534512259066104889f,0.2742705782875418663025f,0.8162728524766862392426f,\ +0.3357750270515680313110f,0.4765891996212303638458f,0.8440040023997426033020f,\ +0.1785074654035270214081f,0.5855625644326210021973f,0.8426241897977888584137f,\ +0.7058847947046160697937f,0.7396617024205625057221f,0.9751448985189199447632f,\ +0.7606669445522129535675f,0.8236690396443009376526f,0.8889620001427829265595f,\ +0.7960178293287754058838f,0.3052428201772272586823f,0.6803312664851546287537f,\ +0.6412069997750222682953f,0.0988248009234666824341f,0.4654508423991501331329f,\ +0.6714970665052533149719f,0.5131103205494582653046f,0.8631567060947418212891f,\ +0.8328299173153936862946f,0.1687975851818919181824f,0.2961277081631124019623f,\ +0.2591485660523176193237f,0.1700844173319637775421f,0.9718958893790841102600f,\ +0.0695185582153499126434f,0.4696230851113796234131f,0.9544191421009600162506f,\ +0.3679352095350623130798f,0.2973918146453797817230f,0.0415310803800821304321f,\ +0.4892336544580757617950f,0.5171590568497776985169f,0.3534862431697547435761f,\ +0.2354387864470481872559f,0.6779259913600981235504f,0.3834532154724001884460f,\ +0.3174350797198712825775f,0.3418120350688695907593f,0.0535557498224079608917f,\ +0.9285596096888184547424f,0.3862650538794696331024f,0.4328473098576068878174f,\ +0.1581165478564798831940f,0.7887120461091399192810f,0.7448797873221337795258f,\ +0.5185996759682893753052f,0.8651678604073822498322f,0.1524438308551907539368f,\ +0.2392775672487914562225f,0.5761575847864151000977f,0.7395762302912771701813f,\ +0.0583172617480158805847f,0.6962534948252141475678f,0.4206145536154508590698f,\ +0.0281158541329205036163f,0.8313249954953789710999f,0.2333360086195170879364f,\ +0.8865877203643321990967f,0.3746785433031618595123f,0.87671328987926244736f,\ +0.4027077830396592617035f,0.2890332732349634170532f,0.8538430598564445972443f,\ +0.5499771209433674812317f,0.5128610017709434032440f,0.6321087554097175598145f,\ +0.4165538274683058261871f,0.3217771751806139945984f,0.9717370062135159969330f,\ +0.5348322447389364242554f,0.3416590173728764057159f,0.9565287167206406593323f,\ +0.9951003189198672771454f,0.3422884084284305572510f,0.7870580093003809452057f,\ +0.9234123295173048973084f,0.5238970420323312282562f} +#define CRESULTR {0.6700223015238303547747f,0.9051590648529930227539f,0.9783774998303537140387f,\ +0.9672554578415690773596f,0.1806879116022510611828f,0.2113884833531175511112f,\ +0.6724311908168314477763f,0.2759693779071136221504f,0.0171117603025009445972f,\ +0.2676571377242007998554f,0.7836070482910290069256f,0.9837911114618788088748f,\ +1.0787649507707848250959f,0.3258715909732741722316f,0.8818391305817397940459f,\ +0.3412489698350346656319f,0.6791962837910036077105f,0.7436127103435716811930f,\ +0.40184826884232582866f,0.6757254959645757619313f,0.6216816234807176488886f,\ +0.7106811634553994450059f,0.5496317899100798820555f,1.015517869987778709628f,\ +0.5020506061187628432663f,0.9811456923663512963429f,0.0682501782366792819623f,\ +0.3276872649171290174941f,0.6393144648282618192070f,0.9360249253515308121010f,\ +0.3486021801541281939230f,0.405155698729944113712f,0.5200555835311830854550f,\ +0.8452234271752276928424f,0.3567295147730688009702f,0.8928456199942530480129f,\ +0.5846382117554749235922f,0.6534877266970448017602f,0.2555268336748864332897f,\ +0.5599022272385358878211f,0.4549851524880720865518f,0.6983186009546583639107f,\ +0.3278445848029415965463f,0.7317436304730139395858f,0.9243668151604532701171f,\ +0.4997101034619103598899f,0.6512014053656888235011f,0.7461784468374338397112f,\ +0.5613804235723615088105f,0.309377290465780441231f,0.6302193796318024121561f,\ +0.3488048678688123183100f,0.2359369023748482674385f,0.5207697215592063111345f,\ +0.4975483327992256676886f,0.8371220343907752603485f,0.1171268218028372609663f,\ +0.085272785233540815408f,0.0974986984973703479929f,0.5164560743022618138909f,\ +0.2683348894394235739647f,0.7764310536494951620057f,0.8045234481921298419493f,\ +0.6958959159533119054331f,0.1940650650900959395262f,0.0075996484393591736892f,\ +0.3536342521606328781481f,0.6152689741862609196232f,0.9952856734893198442649f,\ +0.8206704954595607226509f,0.0459255053037718463660f,0.6307753783837566352588f,\ +0.6388147154641353742122f,0.6937233166977520015806f,0.5697295509652193779004f,\ +0.1802327077236753061218f,0.1675371469878289276689f,0.7230999921866064772402f,\ +0.7176490691010239952874f,0.5749086647774364067232f,0.7279693322506849417763f,\ +0.5413870504782296588786f,0.1504476557625347432623f,0.6581157602540366191590f,\ +0.8675383161064098569426f,0.6076707020048850438343f,0.7819483789931592765399f,\ +0.9976690503006511168138f,0.8038234125831255072470f,0.9466047824946693944881f,\ +1.0263044057305568124150f,0.1954383476167207978058f,0.9991226583234396052546f,\ +0.5824462236684256888353f,0.3833026614151368027805f,0.3492943337672331227672f,\ +0.3315115099350262606315f,0.9442386171423264862312f,0.9899258002262354416700f,\ +0.7216294786971718666635f,0.3920325460401206107974f,0.5034740230892749135450f,\ +0.715969761025848305813f,0.9550125571098367904810f,1.0265780142294762544708f,\ +0.8803585794351714843842f,0.6748726933268143213240f,0.6286862272305427934427f,\ +0.4593360950510761986365f,0.3269925373376404986736f,0.8950979801820350134634f,\ +0.6434757060207739742808f,0.6268824366882729259842f,0.7824259493911607243888f,\ +0.4869178781705328362683f,0.6618946105318512795890f,0.6319261919275969141552f,\ +0.2444724751522657224534f,0.4924981727592058766696f,0.9272283746811394999909f,\ +0.6354081057135144705583f,0.5455716136398853777223f,0.9397290975289604997300f,\ +0.3281437517029104355970f,0.7390025847943897385761f,0.1571298352097142136952f,\ +0.6681717696917298665582f,0.893260926700763513431f,1.0727843133940448971941f,\ +0.7758756582495047737780f,0.2577884404871108037227f,1.0152118695965053341013f,\ +0.553316515865495128779f,0.6088582613070312454795f,0.1618775254222162562900f,\ +0.8458278989313633422498f,0.0331641659985394132715f,0.4056540942022494600217f,\ +0.4254458405105830398618f,0.6108828412056167556088f,0.1710530527126769284596f,\ +0.0497407205620656947542f,0.4747317015892947855704f,0.3618696796533303894350f,\ +0.4287418625744875422257f,0.3485740919790226710617f,0.1655375133873851212218f,\ +0.7428884062630719542497f,0.2271172969578298117543f,1.0587395337282918816868f,\ +0.3549940948693925402147f,0.0004346469449674766222f,0.0971187244038783509259f,\ +0.5043807505243238509252f,0.4434874448032950500220f,0.2951797103676901401492f,\ +0.2845053188094572860223f,0.8815102337365799956004f,0.5368898054807562658652f,\ +0.4988328370209159090543f,0.745435623332440511213f,0.4391683137636283595917f,\ +1.0422403039497714072326f,0.1545117394214212958037f,0.3165746040477503964183f,\ +0.1791895467797269270172f,0.1089461488105609721089f,0.9065124792766549033374f,\ +0.7446224625751999282031f,0.6296662678760955866864f,0.7337000953456223051319f,\ +0.1387263358911398902773f,0.1169149268680415021393f,0.8975235374861081361075f,\ +0.4182178630757872883628f,0.9119369228139623251295f,0.0340248805832462572485f,\ +0.1423301258754861298161f,0.6888548451397347172076f,0.5685106882588889520847f,\ +0.4923020191500164788323f,0.4917581413760083730580f,0.4716616017939372351719f,\ +0.6955693872489776552470f,0.3523112018531558975454f,0.5222250480132760719343f,\ +0.7144705774015845944902f,0.8119440584245034564503f,0.3164274689259520823015f,\ +0.7538323331802344595687f,0.1811571114058267151226f,0.9128449761317551924833f,\ +0.6233160136433549824986f,0.0717615749734574065455f,1.0473491540209625139113f,\ +1.0924869453095222837646f,0.0328835678516360627177f,0.7973589739562461087274f,\ +0.9908609316019793000763f,0.3104246876762664641980f} + +#define CRESULTI {0.3914561710408779870996f,0.2745677431871340612446f,0.8850988190375015385314f,\ +0.3546606100359354085683f,0.2026838146454169320432f,0.1884673919393772267839f,\ +0.2801601885873738484456f,1.0096958835716720592757f,1.21412343558816204769f,\ +0.8776375911322839007411f,0.5620073675207013508270f,0.9130433942963852578245f,\ +0.5770284711891953133289f,0.0101200891695042028556f,0.8779935002098492313749f,\ +0.3667139971005198284537f,0.1664312994282131086266f,0.3494312783943472333625f,\ +0.8104125516371111226377f,0.0164786111567649697085f,0.1816457336156695190343f,\ +0.5593166230651334114299f,0.7569161316066348454967f,0.3415023725885689698245f,\ +0.0814423238542508892701f,0.4465689540632135634546f,1.275733507144991119020f,\ +0.197487841611818731868f,0.3421719548772197971864f,0.3349549978483222778536f,\ +0.4357966181675047567801f,0.1096343010109522564388f,0.4859836370575167374675f,\ +0.3800931088000560897910f,0.1548265257107722947527f,0.6348894325615116462913f,\ +0.1460748031318926942745f,0.1110957110750060844451f,0.1700664034230296439709f,\ +0.3412176537402174525404f,1.0332395638414424432483f,0.6273383485614248966655f,\ +0.9957192459042429888427f,0.0691093109901288471519f,0.6804424693811944591104f,\ +0.3344738416260302771299f,0.0090436204351948476510f,0.5006804162977720462635f,\ +0.2172201211207329951680f,0.1261162082552027552396f,0.9120640605812813106468f,\ +0.2753688308103523496584f,0.2209039383694014757609f,0.8997305533684579748055f,\ +0.2536420004619579504634f,0.3903699376999557602019f,0.1354191697515705339328f,\ +0.6007399379388951299319f,0.3370127497194151389159f,0.1507780721992685313282f,\ +0.5203153088877445764382f,0.254583375618394558426f,0.8702994198605253917123f,\ +1.0924089238964773684870f,0.3407939274374255367306f,0.6883985279629690756664f,\ +0.3940203751449571356602f,0.2021529986071308460094f,0.2883410464579913012884f,\ +0.1832164764792163502705f,0.0904370855097187398286f,0.6870692259557662495695f,\ +0.1667494081756663859562f,0.7986735402486416779411f,0.2997470364729120650971f,\ +1.4723672873315984954701f,0.3058215886262277694030f,0.0317778181669746695448f,\ +0.4953897349233554736614f,0.7593857543036769408573f,0.0933417291983620195373f,\ +0.8587250458616788595379f,0.6140082043678934953235f,0.1179425317948916696054f,\ +0.5008800041022678506408f,0.0606528647874819346053f,0.4208891412439614287955f,\ +0.3345057926491249999934f,0.4488362148523600825278f,0.356228513965734405744f,\ +0.3862019012866550471408f,0.7133939454258028112221f,0.6183512140459618278143f,\ +1.122372846973830329276f,0.0435912326295722213354f,0.4149318455829275609226f,\ +1.4136182419356593253923f,0.360095911709175209303f,0.3059781012378688380693f,\ +0.0293528815458468754496f,0.9850054988638156094893f,0.1610071461548980287226f,\ +0.1615738175268226772818f,0.7804595725744208900565f,0.4664649257591839126569f,\ +0.4516332153201338406312f,0.4324429865103157633044f,0.1499229835931424337225f,\ +0.4861395789308433634801f,0.0069254200843589181283f,0.5470248281814621416075f,\ +0.0157419761082240212968f,0.1652796264802975090280f,0.2251845784941430561599f,\ +0.5809144105432306748327f,0.0370371154221026954723f,0.5409142410066014594605f,\ +0.0961579912696427369090f,0.2170435871168209518434f,0.4413938390627674124289f,\ +0.2180518991856933708196f,0.3882731529916919055445f,0.4793791546290147587150f,\ +0.1615500633583723533171f,0.3727683427019338191499f,1.1092002442556854191480f,\ +0.6007159335006776457178f,0.3670729131136168943428f,0.3082959548830728202518f,\ +0.5833221942824414751883f,1.0459318594890267828390f,0.3263494274187709875967f,\ +0.8544844347571096676575f,0.2053831793406840910965f,0.7963141410348304471967f,\ +0.3137393761405720127300f,0.0990397931617461729781f,0.4344101753145302446946f,\ +0.7023788886417181576150f,0.3911554522022889779365f,1.1544412437572197926983f,\ 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+0.0275539888537934679613f,0.8228411197528838760817f,0.1637277172538824099313f,\ +1.0994704384405307173722f,0.3084433992108448485681f,1.0856016429316568405739f,\ +0.2389273879432435854220f,0.2631293443272026966184f,1.0016126450700377770175f,\ +0.3562135410626017795188f,0.2353197404250201296705f,0.6834823618792332799998f,\ +0.2126404560740041416178f,0.3234875849405334791165f,0.9562375286253093076283f,\ +0.4069690501749418376498f,0.3539780611029934576095f,0.5294802297322954709458f,\ +0.3733196120144765539628f,0.3559718013547358839155f,0.6068341504607892566980f,\ +0.5969952503542278465787f,0.5352237566999263895795f} + + + + +void stanhsTest(void) { + float in[]=SOURCE; + float res[]=RESULT; + float out; + int i; + + for (i=0;i<200;i++){ + out=stanhs(in[i]); + assert(( (fabs(out-res[i]))/(fabs(out)) )<1e-6); + } +} + +void ctanhsTest(void) { + float inR[]=CSOURCER; + float inI[]=CSOURCEI; + float resR[]=CRESULTR; + float resI[]=CRESULTI; + floatComplex in,out; + int i; + + for (i=0;i<200;i++){ + in=FloatComplex(inR[i],inI[i]); + out=ctanhs(in); + assert(( (fabs(creals(out)-resR[i]))/(fabs(creals(out))) )<1e-6); + assert(( (fabs(cimags(out)-resI[i]))/(fabs(cimags(out))) )<1e-6); + } +} + +void stanhaTest(void) { + float in[]=SOURCE; + float res[]=RESULT; + float out[200]; + int i; + + stanha(in,200,out); + for (i=0;i<200;i++){ + assert(( (fabs(out[i]-res[i]))/(fabs(out[i])) )<1e-6); + } +} + +void ctanhaTest(void) { + float inR[]=CSOURCER; + float inI[]=CSOURCEI; + float resR[]=CRESULTR; + float resI[]=CRESULTI; + floatComplex *in,out[200]; + int i; + + in=FloatComplexMatrix(inR,inI,200); + ctanha(in,200,out); + + for (i=0;i<200;i++){ + assert(( (fabs(creals(out[i])-resR[i]))/(fabs(creals(out[i]))) )<1e-6); + assert(( (fabs(cimags(out[i])-resI[i]))/(fabs(cimags(out[i]))) )<1e-6); + } +} + +int testTanh() { + printf("\n>>>> Float Hyperbolic Tangeant Tests\n"); + stanhsTest(); + ctanhsTest(); + stanhaTest(); + ctanhaTest(); + return 0; +} + +int main() { + assert(testTanh() == 0); + return 0; +} diff --git a/2.3-1/src/c/elementaryFunctions/tanh/testTanh.h b/2.3-1/src/c/elementaryFunctions/tanh/testTanh.h new file mode 100644 index 00000000..ac4c546a --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/tanh/testTanh.h @@ -0,0 +1,40 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2007-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#ifndef _TESTTANH_H_ +#define _TESTTANH_H_ + +#include <stdio.h> +#include <assert.h> +#include <math.h> +#include "tanh.h" +#include "constant.h" + +void stanhsTest(void); + +void dtanhsTest(void); + +void ctanhsTest(void); + +void ztanhsTest(void); + +void stanhaTest(void); + +void dtanhaTest(void); + +void ctanhaTest(void); + +void ztanhaTest(void); + +int testTanh(void); + +#endif /* !_TESTTANH_H_ */ diff --git a/2.3-1/src/c/elementaryFunctions/tanh/ztanha.c b/2.3-1/src/c/elementaryFunctions/tanh/ztanha.c new file mode 100644 index 00000000..0419d6c8 --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/tanh/ztanha.c @@ -0,0 +1,20 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "tanh.h" + +void ztanha(doubleComplex* x, int size, doubleComplex* y) { + int i = 0; + for (i = 0; i < size; ++i) { + y[i] = ztanhs(x[i]); + } +} diff --git a/2.3-1/src/c/elementaryFunctions/tanh/ztanhs.c b/2.3-1/src/c/elementaryFunctions/tanh/ztanhs.c new file mode 100644 index 00000000..c7a6c11d --- /dev/null +++ b/2.3-1/src/c/elementaryFunctions/tanh/ztanhs.c @@ -0,0 +1,22 @@ +/* + * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab + * Copyright (C) 2006-2008 - INRIA - Bruno JOFRET + * + * This file must be used under the terms of the CeCILL. + * This source file is licensed as described in the file COPYING, which + * you should have received as part of this distribution. The terms + * are also available at + * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt + * + */ + +#include "tanh.h" +#include "tan.h" + +doubleComplex ztanhs(doubleComplex z) { + double real = zreals(z); + double imag = zimags(z); + + doubleComplex result = ztans(DoubleComplex(-imag, real)); + return (DoubleComplex(zimags(result), -zreals(result))); +} |