LinearAlgebra and MatrixOperation Update

author: Sandeep Gupta 2017-07-05 12:41:25 +0530
committer: Sandeep Gupta 2017-07-05 12:41:25 +0530
commit: 06337f0dc8114c70fd0c7767083971a0d091750a (patch)
tree: 446481550ba88e6e0f7df2db7fdc66d2016ee2f1 /src/c/matrixOperations/spec2
parent: c2e305c3b82ed944d57402dd515b3d5839a31980 (diff)
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12 files changed, 0 insertions, 1903 deletions
diff --git a/src/c/matrixOperations/spec2/Makefile.am b/src/c/matrixOperations/spec2/Makefile.am
deleted file mode 100644
index 5a357fa..0000000
--- a/src/c/matrixOperations/spec2/Makefile.am
+++ /dev/null
@@ -1,70 +0,0 @@
-##
-##  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
-##
-##
-
-libSpec2_la_CFLAGS =	-I $(top_builddir)/src/c/type \
-			-I $(top_builddir)/src/c/matrixOperations/includes \
-			-I $(top_builddir)/src/c/operations/includes \
-			-I $(top_builddir)/src/c/elementaryFunctions/includes\
-			-I $(top_builddir)/src/c/auxiliaryFunctions/includes
-
-
-instdir = $(top_builddir)/lib
-
-pkglib_LTLIBRARIES = libSpec2.la
-
-HEAD = ../includes/spec.h
-
-libSpec2_la_SOURCES = 	$(HEAD) \
-				sspec2a.c \
-				dspec2a.c \
-				cspec2a.c \
-				zspec2a.c
-
-
-############
-##  CHECK
-############
-
-
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-
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-			$(top_builddir)/src/fortran/lapack/libscilapack.la \
-			$(top_builddir)/src/fortran/blas/libsciblas.la \
-			$(top_builddir)/src/c/auxiliaryFunctions/abs/libAbs.la \
-			$(top_builddir)/src/c/auxiliaryFunctions/conj/libConj.la \
-			$(top_builddir)/src/c/auxiliaryFunctions/sign/libSign.la \
-			$(top_builddir)/src/c/auxiliaryFunctions/pythag/libPythag.la \
-			$(top_builddir)/src/c/operations/addition/libAddition.la \
-			$(top_builddir)/src/c/operations/multiplication/libMultiplication.la \
-			$(top_builddir)/src/c/matrixOperations/inversion/libMatrixInversion.la\
-			$(top_builddir)/src/c/matrixOperations/zeros/libMatrixZeros.la\
-			libSpec2.la
-
-check_INCLUDES =	-I $(top_builddir)/src/c/type \
-			-I $(top_builddir)/src/c/matrixOperations/includes \
-			-I $(top_builddir)/src/c/operations/includes \
-			-I $(top_builddir)/src/c/elementaryFunctions/includes\
-			-I $(top_builddir)/src/c/auxiliaryFunctions/includes
-
-testDoubleSpec2_SOURCES = testDoubleSpec2.c
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-testDoubleSpec2_CFLAGS = $(check_INCLUDES)
-
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-testFloatSpec2_LDADD = $(check_LDADD)
-testFloatSpec2_CFLAGS = $(check_INCLUDES)
-
-TESTS =		testDoubleSpec2   testFloatSpec2
-
diff --git a/src/c/matrixOperations/spec2/Makefile.in b/src/c/matrixOperations/spec2/Makefile.in
deleted file mode 100644
index 6e46c05..0000000
--- a/src/c/matrixOperations/spec2/Makefile.in
+++ /dev/null
@@ -1,757 +0,0 @@
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-
-# 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/src/c/matrixOperations/spec2/cspec2a.c b/src/c/matrixOperations/spec2/cspec2a.c
deleted file mode 100644
index d3a4312..0000000
--- a/src/c/matrixOperations/spec2/cspec2a.c
+++ /dev/null
@@ -1,36 +0,0 @@
-/*
- *  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 <stdlib.h>
-#include "spec.h"
-
-
-
-void cspec2a(floatComplex* in, int rows, floatComplex* eigenvalues,floatComplex* eigenvectors){
-	/* As we use Lapack to find the eigenvalues, we must cast the floatComplex input into doubleComplex
-	and the doubleComplex outputs of dspeca into floatComplex*/
-	
-	int i;
-	doubleComplex* dblin;
-	doubleComplex* dbleigenvalues,*dbleigenvectors;
-	
-	dblin=(doubleComplex*)malloc((unsigned int)(rows*rows)*sizeof(doubleComplex));
-	dbleigenvalues=(doubleComplex*)malloc((unsigned int)(rows*rows)*sizeof(doubleComplex));	
-	dbleigenvectors=(doubleComplex*)malloc((unsigned int)(rows*rows)*sizeof(doubleComplex));
-	
-	for (i=0;i<rows*rows;i++) dblin[i]=DoubleComplex((double)creals(in[i]),(double)cimags(in[i]));
-	
-	zspec2a(dblin,rows,dbleigenvalues,dbleigenvectors);
-	
-	for (i=0;i<rows*rows;i++) eigenvalues[i]=FloatComplex((float)zreals(dbleigenvalues[i]),(float)zimags(dbleigenvalues[i]));
-	for (i=0;i<rows*rows;i++) eigenvectors[i]=FloatComplex((float)zreals(dbleigenvectors[i]),(float)zimags(dbleigenvectors[i]));
-}
diff --git a/src/c/matrixOperations/spec2/dspec2a.c b/src/c/matrixOperations/spec2/dspec2a.c
deleted file mode 100644
index 98b2c5a..0000000
--- a/src/c/matrixOperations/spec2/dspec2a.c
+++ /dev/null
@@ -1,113 +0,0 @@
-/*
- *  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 <stdlib.h>
-#include "spec.h"
-#include "lapack.h"
-#include "zeros.h"
-#include "max.h"
-
-void dspec2a(double* in, int rows,double* eigenvalues,double* eigenvectors){
-	int i=0, j=0, ij=0, ij1=0;
-	int symmetric=0;
-	int INFO=0;
-	int iWorkSize = 0;
-	double* pdblWork;
-	double* outReal;
-	double* outImag;
-	double* pdblLeftvectors;
-	double* pdblRightvectors;
-	double* inCopy;
-	
-	/* FIXME : malloc here */
-	inCopy = (double*)malloc((unsigned int)(rows*rows) * sizeof(double));
-	outReal = (double*)malloc((unsigned int)rows * sizeof(double));
-	outImag = NULL;
-	pdblLeftvectors=NULL;
-	pdblRightvectors=NULL;
-	
-	
-	iWorkSize = 4*rows;
-	pdblWork = (double*)malloc((unsigned int)iWorkSize * sizeof(double));
-	
-	for(i=0;i<rows*rows;i++)	inCopy[i]=in[i];
-	
-	
-	
-	/* look if the matrix is symmetric */
-	for (i=0;i<rows;i++){	
-		for (j=0;j<rows;j++) 	
-			if (in[i*rows+j]!=in[i+j*rows]) break;
-		if (j!=rows) break;
-		
-	}
-	
-	/* the matrix is symmetric if the 2 loops goes to end i.e
-		i==rows and j==rows */
-	if ((i==rows)&&(j==rows)) symmetric=1;
-	
-	/* apply lapack function according to symmetry */
-	if(symmetric){	
-		C2F(dsyev)( "V", "U", &rows, inCopy, &rows, outReal, pdblWork, &iWorkSize, &INFO );
-	
-		/* Computation of eigenvectors */
-		for (i=0;i<rows*rows;i++) 	eigenvectors[i] = inCopy[i];
-	}
-	else {	
-		pdblRightvectors=(double*)malloc((unsigned int)(rows*rows) * sizeof(double));
-		outImag = (double*)malloc((unsigned int)rows * sizeof(double));
-		C2F(dgeev)( "N", "V", &rows, inCopy, &rows, outReal, outImag,
-        			pdblLeftvectors, &rows, pdblRightvectors, &rows, pdblWork, &iWorkSize, &INFO );  
-	
-		/* Computation of eigenvectors */        			
-        	j=0;
-		while (j<rows)
-		{
-			if (outImag[j]==0)
-			{	
-				for(i = 0 ; i < rows ; i++)
-				{
-					ij = i + j * rows;
-					eigenvectors[ij] = pdblRightvectors[ij];
-				}
-				j = j + 1;
-			}
-			else
-			{
-				for(i = 0 ; i < rows ; i++)
-				{
-					ij = i + j * rows;
-					ij1 = i + (j + 1) * rows;
-					eigenvectors[ij] = pdblRightvectors[ij];
-					eigenvectors[ij1] = pdblRightvectors[ij];
-				}
-				j = j + 2;
-			}
-		}
-	}
-	
-	/* Computation of eigenvalues */
-	dzerosa(eigenvalues,1,rows*rows);
-	for (i=0;i<rows;i++) eigenvalues[i+i*rows]=outReal[i];
-	
-
-	
-
-	free(inCopy);
-	free(outReal);
-	free(outImag);
-	free(pdblLeftvectors);
-	free(pdblRightvectors);
-	free(pdblWork);
-
-}
-
diff --git a/src/c/matrixOperations/spec2/sspec2a.c b/src/c/matrixOperations/spec2/sspec2a.c
deleted file mode 100644
index d3ab00d..0000000
--- a/src/c/matrixOperations/spec2/sspec2a.c
+++ /dev/null
@@ -1,36 +0,0 @@
-/*
- *  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 <stdlib.h>
-#include "spec.h"
-
-
-
-void sspec2a(float* in, int rows, float* eigenvalues,float* eigenvectors){
-	/* As we use Lapack to find the eigenvalues, we must cast the float input into double
-	and the doubleComplex outputs of dspec2a into floatComplex*/
-	
-	int i;
-	double* dblin;
-	double *dbleigenvalues,*dbleigenvectors;
-	
-	dblin=(double*)malloc((unsigned int)(rows*rows)*sizeof(double));
-	dbleigenvalues = (double*)malloc((unsigned int)(rows*rows)*sizeof(double));	
-	dbleigenvectors = (double*)malloc((unsigned int)(rows*rows)*sizeof(double));
-	
-	for (i=0;i<rows*rows;i++) dblin[i]=(double)in[i];
-	
-	dspec2a(dblin,rows,dbleigenvalues,dbleigenvectors);
-	
-	for (i=0;i<rows*rows;i++) eigenvalues[i]=(float)dbleigenvalues[i];
-	for (i=0;i<rows*rows;i++) eigenvectors[i]=(float)dbleigenvectors[i];
-}
diff --git a/src/c/matrixOperations/spec2/testDoubleSpec2.c b/src/c/matrixOperations/spec2/testDoubleSpec2.c
deleted file mode 100644
index a090f02..0000000
--- a/src/c/matrixOperations/spec2/testDoubleSpec2.c
+++ /dev/null
@@ -1,261 +0,0 @@
-/*
- *  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 "spec.h" 
-#include "stdio.h"
-#include "assert.h"
-#include "math.h"
-
-static void dspec2aTest(void){
-	double in[4]={1,1,1,3};
-	double resultValuesR[4]={0.5857864376269050765700,0,0,3.4142135623730949234300};
-		double resultVectorsR[4]={- 0.9238795325112867384831,0.3826834323650897817792,
-	0.3826834323650897817792,0.9238795325112867384831};
-		
-	
-	double in2[4]={1,1,-2,3};
-	double resultValues2R[4]={1.9999999999999997779554,0,0,1.9999999999999997779554};
-	double resultVectors2R[4]={0.8164965809277261454824,- 0.4082482904638631282523,
-	0.8164965809277261454824,- 0.4082482904638631282523};
-	
-	double in3[9]={0,-1,0,1,0,0,0,0,0};
-	double resultValues3R[9]={0};
-	double resultVectors3R[9]={0.7071067811865474617150,0,0,0.7071067811865474617150,0,0,0,0,1};
-
-	
-	double out1[4],out2[4],out3[9],out4[9];
-	
-	int i;
-	dspec2a(in3,3,out3,out4);
-	for(i=0;i<9;i++){
-		if (out3[i]>1e-16)  assert( fabs(out3[i]-resultValues3R[i]) / fabs(out3[i]) <3e-16);
-		else assert(1);
-	}
-	for(i=0;i<9;i++){
-		if (out4[i]>1e-16)  assert( fabs(out4[i]-resultVectors3R[i]) / fabs(out4[i]) <3e-16);
-		else assert(1);
-	}
-	
-
-	dspec2a(in,2,out1,out2);
-	for(i=0;i<4;i++) printf("%f\n",out1[i]);
-	for(i=0;i<4;i++){
-		if (out1[i]>1e-16)  assert( fabs(out1[i]-resultValuesR[i]) / fabs(out1[i]) <3e-16);
-		else assert(1);
-	}
-	for(i=0;i<4;i++){
-		if (out2[i]>1e-16)  assert( fabs(out2[i]-resultVectorsR[i]) / fabs(out2[i]) <3e-16);
-		else assert(1);
-	}
-	
-	
-	dspec2a(in2,2,out1,out2);
-
-	for(i=0;i<4;i++){
-		if (out1[i]>1e-16)  assert( fabs(out1[i]-resultValues2R[i]) / fabs(out1[i]) <1e-16);
-		else assert(1);
-	}
-	for(i=0;i<4;i++){
-		if (out2[i]>1e-16)  assert( fabs(out2[i]-resultVectors2R[i]) / fabs(out2[i]) <3e-16);
-		else assert(1);
-	}
-	
-}
-
-
-
-	
-static void zspec2aTest(void){
-	double inR[4]={1,1,1,3};	
-	double inI[4]={0,0,0,0};
-	double resultValuesR[4]={0.5857864376269050765700,0,0,3.4142135623730949234300};
-	double resultValuesI[4]={0,0,0,0};
-	double resultVectorsR[4]={- 0.9238795325112867384831,0.3826834323650897817792,
-	0.3826834323650897817792,0.9238795325112867384831};
-	double resultVectorsI[4]={0,0,0,0};
-		
-	double in2R[4]={1,1,-2,3};
-	double in2I[4]={0,0,0,0};
-	double resultValues2R[4]={1.9999999999999997779554,0,0,1.9999999999999997779554};
-	double resultValues2I[4]={0.9999999999999997779554,0,0,-0.9999999999999997779554};
-	double resultVectors2R[4]={0.8164965809277261454824,- 0.4082482904638631282523,
-	0.8164965809277261454824,- 0.4082482904638631282523};
-	double resultVectors2I[4]={0,- 0.4082482904638629062077,0,0.4082482904638629062077};
-	
-	  
-	double in3R[16]={ 0.4685934986919164657593,    0.4262020816095173358917,    0.4217656338587403297424,    0.1034853602759540081024  ,
-    0.4279759414494037628174,    0.7860729382373392581940,    0.8568082069978117942810,    0.1993437460623681545258 , 
-    0.7131301630288362503052,    0.5208952468819916248322,    0.9311723159626126289368,    0.4143836158327758312225,  
-    0.5980196148157119750977,    0.5549105503596365451813,    0.8552952585741877555847,    0.3097750707529485225678};
-	double in3I[16]={0.9446128141134977340698,    0.2442680452950298786163,    0.8760446915403008460999,    0.4874215493910014629364,  
-    0.3844018988311290740967,    0.0922345430590212345123,    0.0705418726429343223572,    0.7338807261548936367035,  
-    0.7792180571705102920532,    0.7827638057060539722443,    0.2161567779257893562317,    0.3420197847299277782440,  
-    0.430093832314014434814 ,    0.6261752569116652011871,    0.9554250938817858695984,    0.45415506651625037193 };
-	double resultValues3R[16]={2.0556597713281337114211 ,   0.         ,                 0.      ,                    0.   ,                     
-    0.         ,               - 0.3025728286579054682193  ,  0.                        ,  0.                        ,
-    0.         ,                 0.                        ,  0.1432776981289703988054  ,  0.                        ,
-    0.         ,                 0.                        ,  0.                        ,  0.59924918284561956571821};
- 	double resultValues3I[16]={2.0772175543447914947137 ,   0.      ,                    0.     ,                     0. ,                       
-    0.        ,                - 0.5223086999196728807959 ,   0.                       ,   0.     ,                   
-    0.        ,                  0.                       ,   0.3871735516160564882782 ,   0.     ,                   
-    0.        ,                  0.                       ,   0.                       , - 0.2349232044266161556489  };
-	double resultVectors3R[16]={   0.5762578366606958546470 ,   0.4529873647084416976583 ,   0.5438116534400605495137  ,  0.3599855200589946457868 , 
-  - 0.3285074902800487195442,  - 0.0923654569732548225147,    0.6473744750124794666846,  - 0.1812302216765642182139  ,
-    0.7395301236826927748780,  - 0.4588526195219964631811,    0.0997916953568371567496,  - 0.3603263850824164338249  ,
-    0.0717862182160008133192,    0.6967198304315765922112,  - 0.1153149977500917411355 , - 0.3232658081022470875077 };
-	double resultVectors3I[16]={ 0. ,                       - 0.1082260232744242933745,  - 0.1403164362264210929254 ,   0.0775054168635924967123 , 
-    0.0347047096401541868560,  - 0.4780157518240965019984,    0.                       ,   0.4493438228998393735303,  
-    0.                      ,  - 0.0484367977162360741072 ,   0.0664282497469102783949 , - 0.3098340648435350952461 , 
-    0.1768623397230159322024,    0.                       , - 0.4621680558325051979551 ,   0.3830799998945915163517};    
-    
-    
-    double in4R[49]={0.0292230211198329925537,    0.1069206790998578071594,    9.7463708464056253433228,    7.7042609406635165214539 ,   6.3966313377022743225098, 9.5358861843124032020569,    4.1484833415597677230835,
- 	  4.6615396952256560325623,    2.2384551353752613067627,    3.4569733263924717903137,    2.3406236339360475540161,    6.6193414805456995964050,2.6911795139312744140625,9.8302489006891846656799 ,
-      7.3933512251824140548706,    2.9021358629688620567322 ,   3.9959496073424816131592   , 9.792278115637600421906 ,    0.0755135808140039443970, 7.0210226578637957572937 ,   8.9075061306357383728027 ,
-     6.5269742021337151527405  ,  4.136228552088141441345 ,    8.5816909139975905418396  ,  2.3960896767675876617432  ,  4.8200417729094624519348,  9.848585547879338264465 ,    4.4697216479107737541199, 
-      2.3298137634992599487305,    2.2345139319077134132385,    8.0025654565542936325073,    7.7507343282923102378845,    4.8250066302716732025146,  7.8448831336572766304016 ,   1.5346793178468942642212 ,
-      7.7228771103546023368835 ,   8.9520217850804328918457,    9.4673257926478981971741,    6.9818257447332143783569,    9.5591608202084898948669,  0.4840173013508319854736,    5.3235206427052617073059,
-      2.9468670953065156936646,    6.9771366892382502555847 ,   9.3762038648128509521484 ,   1.0755608463659882545471 ,   7.7634243946522474288940,   6.3734178384765982627869 ,   0.6630615703761577606201 };
-      double in4I[49]={8.1694598542526364326477,    3.5473910067230463027954,    5.860544512979686260223,     3.4610254690051078796387,    4.4247510144487023353577,    8.8226650562137365341187,    7.6436930662021040916443 ,
-    7.764139864593744277954,     2.8076809318736195564270,    6.9086006004363298416138,    7.1747286943718791007996,    3.7201813608407974243164 ,   9.3254965776577591896057,    2.2566775511950254440308,
-    7.5211019208654761314392 ,   3.0747506581246852874756 ,   5.9793261485174298286438,    1.9238903466612100601196,    2.3870888305827975273132 ,   7.4708331003785133361816,    9.7131536761298775672913,
-    4.3703553732484579086304,    6.2248750543221831321716,    3.2913279719650745391846,    3.2963873865082859992981,    2.7686371374875307083130 ,    4.8729835031554102897644,    7.7320465445518493652344 ,
-    9.0775218093767762184143,    5.0122931879013776779175,    5.1595458528026938438416,    5.79267887398600578308  ,    1.5463936375454068183899 ,     7.6111377868801355361938,    6.9079177780076861381531 ,
-    2.8732293471693992614746,    9.64253133628517389297 ,     5.6607243325561285018921,    5.7821379369124770164490,    2.6634209789335727691650  ,    4.7470985027030110359192,    6.0735465306788682937622,  
-    0.4097307054325938224793,    5.0125684589147567749023 ,   5.2959309751167893409729,    6.2594583164900541305542,    2.2193526616320013999939  ,   3.467419948428869247437,     3.9511676924303174018860 }; 
-	double resultValues4R[49]={39.018457752476393807228 ,0,0,0,0,0,0,
-    			  		  0,2.2455352415739073812517,0,0,0,0,0,
-    					  0,0,- 8.4848591657394489828903,0,0,0,0,
-    					  0,0,0,- 9.617033196016185669919,0,0,0,
-    					  0,0,0,0,- 3.7815852014367528077798,0,0,
-    					  0,0,0,0,0,- 4.44858427601393291440,0,
-    					  0,0,0,0,0,0,- 0.3001282122401837670900};
-	double resultValues4I[49]={36.525725390582877594170,0,0,0,0,0,0,
-    					  0,- 5.9058762755733944516123,0,0,0,0,0,
-					  0,0,- 3.5959527108686115681735,0,0,0,0,
-					  0,0,0,1.8928051444081777088257,0,0,0,
-					  0,0,0,0,- 3.1889864758923365251064,0,0,
-					  0,0,0,0,0,3.2418188738592150777151,0,
-					  0,0,0,0,0,0,1.5279802073147508156836}; 
-					   
- 	double resultVectors4R[49]={  0.3499995148567048852684,    0.3131141942665225941234,    0.4518966551544936205431,    0.3429358568207974133912,    0.3073919828504245721490,   0.4236868694783915145763,    0.3928739146959387973368 ,
-    0.2654822689469810148566 , - 0.3607918093136298631762,    0.0473515544359270068586 ,   0.5097969509656486986060 , -0.3771134435310480315096  , 0.2011534205484152293408,  - 0.4415200724898113993078,
-    0.5454886553461798515130,  - 0.2173248800239625522224,  - 0.2171708216301463378883 , - 0.2460117034233289534662 , -0.3694743444265859433351  ,  0.3601018742104445391483,    0.1530612374027510713681,
-    0.6385835932752577104310,  - 0.0013906755423099548263,  - 0.3368505708673739662551 ,   0.1394203608831885433    , -0.2292783363046769218308  , -0.2740379414191142504187,    0.1926279946047058377889 ,
-  - 0.6106238336849327819067,    0.0128604884735820379493,    0.2248434453925002574071,  - 0.0955950290268089419854 , 0.6322383898844411431739  ,         - 0.1362122761803175874373,  - 0.0030545591332723984190,
-    0.5431360047322275619308,    0.1304324282476526930541,  - 0.3713242513274904177401,  - 0.2693820083406764376299 , - 0.1431429883314006001882   ,   0.0533021313694299267438,    0.0071247423818797811501 ,
-  - 0.156705245229635081738,     0.0034676864415526253982 , - 0.3351413975178426096768 ,   0.2927797449896782921996  ,  0.5714932440406852443005   ,   0.0738366305178744797288,  - 0.4509415569247051669422  };
- 	double resultVectors4I[49]={  0.0720991445669864616796 ,   0.0844739028302603361942 ,   0.           ,               0.0173431366502564965337,  -0.0428710162141596462515,  0.0695226101295536302871,    0.0999385617869267273150,
-    0.2510960793336660668018 , - 0.1123901435582568414384,    0.0091069807153507792430,    0.      ,                  - 0.2545493692188907641771,   0.1149714203529902251111,    0.0762796210842419941667,
-    0.      ,                    0.0611827470444509316505,    0.2295643426501567385678,  - 0.2950878328821502361024,    0.198556748820033573955,     0.0646801132828138114483,  - 0.2660572521172601678785,  
-    0.          ,                0.2688905463703794573860,    0.2230635356255223633593 , - 0.2013432448241845862391,  - 0.0386922946770884290668,    0.0358963301038670995480,  - 0.3593711366897305303780 , 
-  - 0.1386717901043315326337,    0.0600994116374372472356,  - 0.1167558596038882207102 ,   0.317965599565130263571,     0. ,         -0.0642522754144960878131,  - 0.0853665514099945371695,                
-    0.             ,             0.2715431731544318272320,  - 0.1184277560110737481658 ,   0.3655618467608299226868, - 0.4598766797780974302512 ,     0.0188698345957667955319,  - 0.1446429340244405892246,
-    0.346095581161616094867  ,   0.0750882555805542639682,  - 0.2494867985551498246188,  - 0.2328934592128872882455,    0.  ,               -0.0047307828167728396829,  - 0.0078254955461786041004};         
-  
-   
-    
- 
-	doubleComplex *in,*in2,*in3,*in4,out1[4],out2[4],out3[16],out4[16],out5[49],out6[49];
-	
-	int i;
-	
-	in=DoubleComplexMatrix(inR,inI,4);
-	in2=DoubleComplexMatrix(in2R,in2I,4);
-	in3=DoubleComplexMatrix(in3R,in3I,16);
-	in4=DoubleComplexMatrix(in4R,in4I,49);
-	zspec2a(in,2,out1,out2);
-
-	
-	for(i=0;i<4;i++){
-		if (zreals(out1[i])>1e-16)  assert( fabs(zreals(out1[i])-resultValuesR[i]) / fabs(zreals(out1[i])) <3e-16);
-		else assert(1);
-		if (zimags(out1[i])>1e-16)  assert( fabs(zimags(out1[i])-resultValuesI[i]) / fabs(zimags(out1[i])) <1e-16);
-		else assert(1);
-	}
-	
-	for(i=0;i<4;i++){
-		if (zreals(out2[i])>1e-16)  assert( fabs(zreals(out2[i])-resultVectorsR[i]) / fabs(zreals(out2[i])) <3e-16);
-		else assert(1);
-		if (zimags(out2[i])>1e-16)  assert( fabs(zimags(out2[i])-resultVectorsI[i]) / fabs(zimags(out2[i])) <1e-16);
-		else assert(1);
-	}
-	
-	
-	zspec2a(in2,2,out1,out2);	
-	for(i=0;i<4;i++){
-		if (zreals(out1[i])>1e-16)  assert( fabs(zreals(out1[i])-resultValues2R[i]) / fabs(zreals(out1[i])) <3e-16);
-		else assert(1);
-		if (zimags(out1[i])>1e-16)  assert( fabs(zimags(out1[i])-resultValues2I[i]) / fabs(zimags(out1[i])) <3e-15);
-		else assert(1);
-	}
-		
-	for(i=0;i<4;i++){
-		if (zreals(out2[i])>1e-16)  assert( fabs(zreals(out2[i])-resultVectors2R[i]) / fabs(zreals(out2[i])) <3e-16);
-		else assert(1);
-		if (zimags(out2[i])>1e-16)  assert( fabs(zimags(out2[i])-resultVectors2I[i]) / fabs(zimags(out2[i])) <3e-15);
-		else assert(1);
-	}
-	
-	
-	
-	zspec2a(in3,4,out3,out4);	
-	for(i=0;i<16;i++){
-		if (zreals(out3[i])>1e-16)  assert( fabs(zreals(out3[i])-resultValues3R[i]) / fabs(zreals(out3[i])) <3e-15);
-		else assert(1);
-		if (zimags(out3[i])>1e-16)  assert( fabs(zimags(out3[i])-resultValues3I[i]) / fabs(zimags(out3[i])) <3e-15);
-		else assert(1);
-	}	
-	for(i=0;i<16;i++){
-		if (zreals(out4[i])>1e-16)  assert( fabs(zreals(out4[i])-resultVectors3R[i]) / fabs(zreals(out4[i])) <3e-15);
-		else assert(1);
-		if (zimags(out4[i])>1e-16)  assert( fabs(zimags(out4[i])-resultVectors3I[i]) / fabs(zimags(out4[i])) <3e-14);
-		else assert(1);
-	}	
-	
-	/* FIXME : assert : 3e-16 maybe du to little values like  0.001... */
-	zspec2a(in4,7,out5,out6);	
-	
-	for(i=0;i<49;i++){
-		if (zreals(out5[i])>1e-16)  assert( fabs(zreals(out5[i])-resultValues4R[i]) / fabs(zreals(out5[i])) <3e-15);
-		else assert(1);
-		if (zimags(out5[i])>1e-16)  assert( fabs(zimags(out5[i])-resultValues4I[i]) / fabs(zimags(out5[i])) <3e-14);
-		else assert(1);
-	}	
-	for(i=0;i<49;i++){
-		if (zreals(out6[i])>1e-16)  assert( fabs(zreals(out6[i])-resultVectors4R[i]) / fabs(zreals(out6[i])) <3e-14);
-		else assert(1);
-		if (zimags(out6[i])>1e-16)  assert( fabs(zimags(out6[i])-resultVectors4I[i]) / fabs(zimags(out6[i])) <3e-13);
-		else assert(1);
-	}
-	
-	
-	
-}
-
-
-static int testSpec2(void){
-	printf(">>> Double Spec2 Tests <<<\n");
-	printf(">>> Double <<<\n");
-	dspec2aTest();
-	printf(">>> DoubleComplex <<<\n");
-	zspec2aTest();
-	return 0;
-}
-
-
-int main(void){
-	assert (testSpec2()==0);
-
-	
-	return 0;
-}
diff --git a/src/c/matrixOperations/spec2/testFloatSpec2.c b/src/c/matrixOperations/spec2/testFloatSpec2.c
deleted file mode 100644
index fb2bc25..0000000
--- a/src/c/matrixOperations/spec2/testFloatSpec2.c
+++ /dev/null
@@ -1,134 +0,0 @@
-/*
- *  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 "spec.h" 
-#include "stdio.h"
-#include "assert.h"
-#include "math.h"
-
-static void sspec2aTest(void){
-	float in[4]={1.0f,1.0f,1.0f,3.0f};
-	float resultValuesR[4]={0.5857864376269050765700f,0,0,3.4142135623730949234300f};
-	float resultVectorsR[4]={- 0.9238795325112867384831f,0.3826834323650897817792f,
-	0.3826834323650897817792f,0.9238795325112867384831f};
-	
-	float in2[4]={1.0f,1.0f,-2.0f,3.0f};
-	float resultValues2R[4]={1.9999999999999997779554f,0,0,1.9999999999999997779554f};
-	float resultVectors2R[4]={0.8164965809277261454824f,- 0.4082482904638631282523f,
-	0.8164965809277261454824f,- 0.4082482904638631282523f};
-	float eigenvalues[4],eigenvectors[4];
-
-	int i;
-		
-	sspec2a(in,2,eigenvalues,eigenvectors);
-
-	for(i=0;i<4;i++){
-		if (eigenvalues[i]>1e-6)  assert( fabs(eigenvalues[i]-resultValuesR[i]) / fabs(eigenvalues[i]) <1e-16);
-		else assert(1);
-	}
-	for(i=0;i<4;i++){
-		if (eigenvectors[i]>1e-6)  assert( fabs(eigenvectors[i]-resultVectorsR[i]) / fabs(eigenvectors[i]) <1e-16);
-		else assert(1);
-	}
-	
-	
-	sspec2a(in2,2,eigenvalues,eigenvectors);
-	
-
-	
-	for(i=0;i<4;i++){
-		if (eigenvalues[i]>1e-6)  assert( fabs(eigenvalues[i]-resultValues2R[i]) / fabs(eigenvalues[i]) <1e-16);
-		else assert(1);
-	}
-	for(i=0;i<4;i++){
-		if (eigenvectors[i]>1e-6)  assert( fabs(eigenvectors[i]-resultVectors2R[i]) / fabs(eigenvectors[i]) <1e-16);
-		else assert(1);
-	}
-}
-
-
-
-	
-static void cspec2aTest(void){
-	float inR[4]={1.0f,1.0f,1.0f,3.0f};	
-	float inI[4]={0.0f,0.0f,0.0f,0.0f};
-	float resultValuesR[4]={0.5857864376269050765700f,0,0,3.4142135623730949234300f};
-	float resultValuesI[4]={0,0,0,0};
-	float resultVectorsR[4]={- 0.9238795325112867384831f,0.3826834323650897817792f,
-	0.3826834323650897817792f,0.9238795325112867384831f};
-	float resultVectorsI[4]={0,0,0,0};
-	
-	float in2R[4]={1.0f,1.0f,-2.0f,3.0f};
-	float in2I[4]={0.0f,0.0f,0.0f,0.0f};
-	float resultValues2R[4]={1.9999999999999997779554f,0,0,1.9999999999999997779554f};
-	float resultValues2I[4]={0.9999999999999997779554f,0,0,-0.9999999999999997779554f};
-	float resultVectors2R[4]={0.8164965809277261454824f,- 0.4082482904638631282523f,
-	0.8164965809277261454824f,- 0.4082482904638631282523f};
-	float resultVectors2I[4]={0,- 0.4082482904638629062077f,0,0.4082482904638629062077f};
-	
-	floatComplex *in,*in2,out1[4],out2[4];
-	
-	int i;
-	
-	in=FloatComplexMatrix(inR,inI,4);
-	in2=FloatComplexMatrix(in2R,in2I,4);
-	
-	cspec2a(in,2,out1,out2);
-	for(i=0;i<4;i++){
-		if (creals(out1[i])>1e-16)  assert( fabs(creals(out1[i])-resultValuesR[i]) / fabs(creals(out1[i])) <1e-15);
-		else assert(1);
-		if (cimags(out1[i])>1e-16)  assert( fabs(cimags(out1[i])-resultValuesI[i]) / fabs(cimags(out1[i])) <1e-16);
-		else assert(1);
-	}
-	for(i=0;i<4;i++){
-		if (creals(out2[i])>1e-16)  assert( fabs(creals(out2[i])-resultVectorsR[i]) / fabs(creals(out2[i])) <1e-15);
-		else assert(1);
-		if (cimags(out2[i])>1e-16)  assert( fabs(cimags(out2[i])-resultVectorsI[i]) / fabs(cimags(out2[i])) <1e-16);
-		else assert(1);
-	}
-	
-	
-	cspec2a(in2,2,out1,out2);	
-	for(i=0;i<4;i++){
-		if (creals(out1[i])>1e-16)  assert( fabs(creals(out1[i])-resultValues2R[i]) / fabs(creals(out1[i])) <1e-15);
-		else assert(1);
-		if (cimags(out1[i])>1e-16)  assert( fabs(cimags(out1[i])-resultValues2I[i]) / fabs(cimags(out1[i])) <1e-15);
-		else assert(1);
-	}	
-	for(i=0;i<4;i++){
-		if (creals(out2[i])>1e-16)  assert( fabs(creals(out2[i])-resultVectors2R[i]) / fabs(creals(out2[i])) <1e-15);
-		else assert(1);
-		if (cimags(out2[i])>1e-16)  assert( fabs(cimags(out2[i])-resultVectors2I[i]) / fabs(cimags(out2[i])) <1e-16);
-		else assert(1);
-	}
-}
-
-
-
-
-static int testSpec2(void){
-	printf(">>> Float Spec2 Tests <<<\n");
-	printf(">>> Float <<<\n");
-	sspec2aTest();
-	printf(">>> FloatComplex <<<\n");
-	cspec2aTest();
-	return 0;
-}
-
-
-int main(void){
-	assert (testSpec2()==0);
-
-	
-	return 0;
-}
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deleted file mode 100644
index 7c36943..0000000
--- a/src/c/matrixOperations/spec2/test_DoubleSpec2/testDoubleSpec2.vcxproj
+++ /dev/null
@@ -1,178 +0,0 @@
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-    <ProjectGuid>{FD0A4495-C372-41EF-B8EF-0A0939DA6C1E}</ProjectGuid>
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diff --git a/src/c/matrixOperations/spec2/zspec2a.c b/src/c/matrixOperations/spec2/zspec2a.c
deleted file mode 100644
index e33ed89..0000000
--- a/src/c/matrixOperations/spec2/zspec2a.c
+++ /dev/null
@@ -1,96 +0,0 @@
-/*
- *  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 <stdlib.h>
-#include "spec.h"
-#include "lapack.h"
-#include "zeros.h"
-#include "stdio.h"
-#include "conj.h"
-
-void zspec2a(doubleComplex* in, int rows,doubleComplex* eigenvalues, doubleComplex* eigenvectors){
-	int i = 0, j = 0;
-	int hermitian = 0;
-	int INFO = 0;
-	int iWorkSize = 0;
-	doubleComplex* pdblWork;
-	doubleComplex* pdblLeftvectors;
-	doubleComplex* pdblRightvectors;
-	doubleComplex* pdblRWork;
-	double* pdblRWork2;
-	double* outReal;
-	double* outImag;
-	doubleComplex* inCopy;
-	
-	inCopy = (doubleComplex*)malloc((unsigned int)(rows*rows) * sizeof(doubleComplex));
-	outReal = (double*)malloc((unsigned int)rows * sizeof(double));
-	outImag = (double*)malloc((unsigned int)rows * sizeof(double));
-	pdblLeftvectors=NULL;
-	pdblRightvectors=NULL;
-	
-	iWorkSize = 2*rows;
-	pdblWork = (doubleComplex*)malloc((unsigned int)iWorkSize * sizeof(doubleComplex));
-	pdblRWork = NULL;	
-	pdblRWork2 = NULL;
-	
-	for(i=0;i<rows*rows;i++) {
-		inCopy[i]=DoubleComplex(zreals(in[i]),zimags(in[i]));
-		eigenvectors[i]=DoubleComplex(zreals(in[i]),zimags(in[i]));
-	}	
-	zzerosa(eigenvalues,1,rows*rows);
-	
-	
-	/* look if the matrix is symmetric */
-	for (i=0;i<rows;i++){
-		for (j=0;j<rows;j++) 
-			if ( (zreals(in[i*rows+j])!=zreals(zconjs(in[i+j*rows]))) ||
-			     (zimags(in[i*rows+j])!=zimags(zconjs(in[i+j*rows])))  )
-			     break;
-		if (j!=rows) break;
-	}
-		
-	
-	/* the matrix is symmetric if the 2 loops goes to end i.e
-		i==rows and j==rows */
-	if ((i==rows)&&(j==rows)) hermitian=1;
-	
-	
-	/* apply lapack function according to symmetry */
-	if(hermitian){
-		pdblRWork2 = (double*)malloc((unsigned int)(3*rows) * sizeof(double));
-		C2F(zheev)( "V", "U", &rows, eigenvectors, &rows, outReal, pdblWork, &iWorkSize, pdblRWork2, &INFO );
-		dzerosa(outImag,1,rows);
-		for (i=0;i<rows;i++) eigenvalues[i+i*rows]=DoubleComplex(outReal[i],outImag[i]);
-	}
-	else {
-		pdblRWork = (doubleComplex*)malloc((unsigned int)(3*rows) * sizeof(doubleComplex));	
-		C2F(zgeev)( "N", "V", &rows, inCopy, &rows, eigenvalues, 
-		pdblLeftvectors, &rows, eigenvectors, &rows, pdblWork, &iWorkSize,
-		pdblRWork, &INFO );
-		for (i=1;i<rows;i++) {
-			eigenvalues[i+i*rows]=DoubleComplex(zreals(eigenvalues[i]),zimags(eigenvalues[i]));
-			eigenvalues[i]=DoubleComplex(0,0);
-		}
-	}
-	
-	
-
-
-	free(inCopy);
-	free(outReal);
-	free(outImag);
-	free(pdblWork);
-	free(pdblRWork);
-	free(pdblRWork2);
-	free(pdblLeftvectors);
-	free(pdblRightvectors);
-}
author	Sandeep Gupta	2017-07-05 12:41:25 +0530
committer	Sandeep Gupta	2017-07-05 12:41:25 +0530
commit	06337f0dc8114c70fd0c7767083971a0d091750a (patch)
tree	446481550ba88e6e0f7df2db7fdc66d2016ee2f1 /src/c/matrixOperations/spec2
parent	c2e305c3b82ed944d57402dd515b3d5839a31980 (diff)
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