diff options
Diffstat (limited to '2.3-1/src/c/matrixOperations')
31 files changed, 3707 insertions, 47 deletions
diff --git a/2.3-1/src/c/matrixOperations/Slash/dslasha.c b/2.3-1/src/c/matrixOperations/Slash/dslasha.c deleted file mode 100644 index cb2007b7..00000000 --- a/2.3-1/src/c/matrixOperations/Slash/dslasha.c +++ /dev/null @@ -1,32 +0,0 @@ -/* Copyright (C) 2017 - IIT Bombay - FOSSEE - - This file must be used under the terms of the CeCILL. - This source file is licensed as described in the file COPYING, which - you should have received as part of this distribution. The terms - are also available at - http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt - Author: Sandeep Gupta - Organization: FOSSEE, IIT Bombay - Email: toolbox@scilab.in - */ - -/*This function finds the A/B. */ - -/* X = slash(A,B) <=> X = A/B */ - -#include <stdio.h> -#include "string.h" -#include "stdlib.h" -#include "lapack.h" -#include "matrixTranspose.h" -#include "matrixMultiplication.h" - -void dslasha(double *A,int m1,int n1,double *B,int m2,int n2,double *out){ - if(m1 != n1 && m1 != m2 && m2 != n2){ - return; - } - - double AF; - AF = (double *)malloc(); - -} diff --git a/2.3-1/src/c/matrixOperations/cat/ccata.c b/2.3-1/src/c/matrixOperations/cat/ccata.c index a6ac6cf0..cd2b4c92 100644 --- a/2.3-1/src/c/matrixOperations/cat/ccata.c +++ b/2.3-1/src/c/matrixOperations/cat/ccata.c @@ -26,7 +26,7 @@ void crowcata(floatComplex *in1, int lines1, int columns1, floatComplex *in2, i { for (j = 0 ; j < lines1 ; ++j) { - /*out[i*(lines1 + lines2) + j] = in1[i*lines1 + j];*/ + out[i*(lines1 + lines2) + j] = in1[i*lines1 + j]; } for (j = 0 ; j < lines2 ; ++j) { diff --git a/2.3-1/src/c/matrixOperations/cat/zcata.c b/2.3-1/src/c/matrixOperations/cat/zcata.c index 455fea0e..485553d7 100644 --- a/2.3-1/src/c/matrixOperations/cat/zcata.c +++ b/2.3-1/src/c/matrixOperations/cat/zcata.c @@ -43,7 +43,7 @@ void zrowcata(doubleComplex *in1, int lines1, int columns1, doubleComplex *in2, ** A1=[1 2 3;4 5 6]; A2=[7 8 9 ;10 11 12]; y=cat(2,A1,A2) => y=[1 2 3 7 8 9 ; 4 5 6 10 11 12] ** */ -void zcolumncata(doubleComplex *in1, int lines1, int columns1, doubleComplex *in2, int lines2, int columns2, doubleComplex* out) { +void zcolumncata(doubleComplex *in1, int lines1, int columns1, doubleComplex *in2, int lines2, int columns2, doubleComplex* out) { int i = 0; for (i = 0 ; i < lines1 * columns1 ; ++i) { out[i] = in1[i]; diff --git a/2.3-1/src/c/matrixOperations/includes/spec.h b/2.3-1/src/c/matrixOperations/includes/spec.h new file mode 100644 index 00000000..b7b7d35c --- /dev/null +++ b/2.3-1/src/c/matrixOperations/includes/spec.h @@ -0,0 +1,56 @@ +/* + * 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 + * + */ + + +#ifndef __SPEC_H__ +#define __SPEC_H__ + +#include "dynlib_matrixoperations.h" +#include "doubleComplex.h" +#include "floatComplex.h" + +#ifdef __cplusplus +extern "C" { +#endif + +/* spec gives only the eigenvalues + If you want the eigenvalues and the eigenvectors, use spec2 */ + +/* spec */ +#define sspecs(in) in +#define dspecs(in) in +#define cspecs(in) in +#define zspecs(in) in + +EXTERN_MATOPS void sspeca(float* in, int rows, float* out); +EXTERN_MATOPS void dspeca(double* in, int rows, double* out); +EXTERN_MATOPS void cspeca(floatComplex* in, int rows, floatComplex* out); +EXTERN_MATOPS void zspeca(doubleComplex* in, int rows,doubleComplex* out); + + + +/* spec2 */ +#define sspec2s(in,out) sspecs(1);*out=in; +#define dspec2s(in,out) dspecs(1);*out=in; +#define cspec2s(in,out) cspecs(FloatComplex(1,0));*out=FloatComplex(creals(in),cimags(in)); +#define zspec2s(in,out) zspecs(DoubleComplex(1,0));*out=DoubleComplex(zreals(in),zimags(in)); + +EXTERN_MATOPS void sspec2a(float* in, int rows, float* eigenvalues,float* eigenvectors); +EXTERN_MATOPS void dspec2a(double* in, int rows, double* eigenvalues,double* eigenvectors); +EXTERN_MATOPS void cspec2a(floatComplex* in, int rows, floatComplex* eigenvalues,floatComplex* eigenvectors); +EXTERN_MATOPS void zspec2a(doubleComplex* in, int rows,doubleComplex* eigenvalues,doubleComplex* eigenvectors); + +#ifdef __cplusplus +} /* extern "C" */ +#endif + +#endif /* __SPEC_H__ */ diff --git a/2.3-1/src/c/matrixOperations/interfaces/int_spec.h b/2.3-1/src/c/matrixOperations/interfaces/int_spec.h new file mode 100644 index 00000000..77ab55e7 --- /dev/null +++ b/2.3-1/src/c/matrixOperations/interfaces/int_spec.h @@ -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 + * + */ + +/* THIS IS AN AUTOMATICALLY GENERATED FILE : DO NOT EDIT BY HAND. */ + +#ifndef __INT_SPEC_H__ +#define __INT_SPEC_H__ + +/* Only eigenvalues */ + +#define s0specc0(in) FloatComplex (sspecs(in) , 0) + +#define d0specz0(in) DoubleComplex ( dspecs(in) , 0) + +#define c0specc0(in) cspecs(in) + +#define z0specz0(in) zspecs(in) + +#define s2specc2(in,size,out) {float* ZEROS;\ + ZEROS=malloc((uint)(size[0]*size[0]*sizeof(float)));\ + szerosa(ZEROS,size[0],size[0]);\ + cspeca(FloatComplexMatrix(in,ZEROS,size[0]*size[0]), size[0], out);\ + } + +#define d2specz2(in,size,out) {double* ZEROS;\ + ZEROS=malloc((uint)(size[0]*size[0]*sizeof(double)));\ + dzerosa(ZEROS,size[0],size[0]);\ + zspeca(DoubleComplexMatrix(in,ZEROS,size[0]*size[0]), size[0] , out);\ + } + +#define c2specc2(in,size,out) cspeca(in, size[0], out) + +#define z2specz2(in,size,out) zspeca(in, size[0], out) + +/* Eigenvalues and eigenvectors */ + +#define s0specc0c0(in,out) cspec2s(FloatComplex( in,0) ,out) + +#define d0specz0z0(in,out) zspec2s(DoubleComplex(in,0) ,out) + +#define c0specc0c0(in,out) cspec2s(in,out) + +#define z0specz0z0(in,out) zspec2s(in,out) + +#define s2specc2c2(in,size,out1,out2) {float* ZEROS;\ + ZEROS=malloc((uint)(size[0]*size[0]*sizeof(float)));\ + szerosa(ZEROS,size[0],size[0]);\ + cspec2a(FloatComplexMatrix(in,ZEROS,size[0]*size[0]), size[0] , out1 , out2 );\ + } + +#define d2specz2z2(in,size,out1,out2) {double* ZEROS;\ + ZEROS=malloc((uint)(size[0]*size[0]*sizeof(double)));\ + dzerosa(ZEROS,size[0],size[0]);\ + zspec2a(DoubleComplexMatrix(in,ZEROS,size[0]*size[0]), size[0] , out1 , out2 );\ + } + + +#define c2specc2c2(in,size,out1,out2) cspec2a(in, size[0], out2, out1) + +#define z2specz2z2(in,size,out1,out2) zspec2a(in, size[0], out2, out1) + +#endif /* !__INT_SPEC_H__ */ diff --git a/2.3-1/src/c/matrixOperations/norm/dnorma.c b/2.3-1/src/c/matrixOperations/norm/dnorma.c index 2bb9b8b7..c912f857 100644 --- a/2.3-1/src/c/matrixOperations/norm/dnorma.c +++ b/2.3-1/src/c/matrixOperations/norm/dnorma.c @@ -6,8 +6,6 @@ are also available at http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt Author: Siddhesh Wani - - Edited by: Sandeep Gupta Organization: FOSSEE, IIT Bombay Email: toolbox@scilab.in */ @@ -16,17 +14,13 @@ /*Acceptable norms are: 1, 2, 'inf', 'fro', */ #include "norm.h" -#include "svd.h" #include <math.h> -#include <stdio.h> -#include<stdlib.h> double dnorma (double *in, int row, int col, int norm) { double res = 0, sum = 0; int col_count, row_count; - double *S; - S = (double *)malloc(min(row,col)*sizeof(double)); + switch (norm) { case 1: /*largest column sum*/ @@ -43,8 +37,6 @@ double dnorma (double *in, int row, int col, int norm) break; case 2: /*Largest singular value of the matrix*/ - dsvda(0,in,row,col,0,1,S,NULL,NULL); - res = S[0]; break; case 3: /*inf: largest row sum*/ @@ -77,4 +69,4 @@ double dnorma (double *in, int row, int col, int norm) return res; -} +}
\ No newline at end of file diff --git a/2.3-1/src/c/matrixOperations/spec/Makefile.am b/2.3-1/src/c/matrixOperations/spec/Makefile.am new file mode 100644 index 00000000..90dbd0aa --- /dev/null +++ b/2.3-1/src/c/matrixOperations/spec/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 +## +## + +libSpec_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 = libSpec.la + +HEAD = ../includes/spec.h + +libSpec_la_SOURCES = $(HEAD) \ + sspeca.c \ + dspeca.c \ + cspeca.c \ + zspeca.c + + +############ +## CHECK +############ + + +check_PROGRAMS = testDoubleSpec testFloatSpec + +check_LDADD = $(top_builddir)/src/c/type/libDoubleComplex.la \ + $(top_builddir)/src/c/type/libFloatComplex.la \ + $(top_builddir)/src/c/elementaryFunctions/sqrt/libSqrt.la \ + $(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\ + libSpec.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 + +testDoubleSpec_SOURCES = testDoubleSpec.c +testDoubleSpec_LDADD = $(check_LDADD) +testDoubleSpec_CFLAGS = $(check_INCLUDES) + +testFloatSpec_SOURCES = testFloatSpec.c +testFloatSpec_LDADD = $(check_LDADD) +testFloatSpec_CFLAGS = $(check_INCLUDES) + +TESTS = testDoubleSpec testFloatSpec + diff --git a/2.3-1/src/c/matrixOperations/spec/Makefile.in b/2.3-1/src/c/matrixOperations/spec/Makefile.in new file mode 100644 index 00000000..9c34c9e6 --- /dev/null +++ b/2.3-1/src/c/matrixOperations/spec/Makefile.in @@ -0,0 +1,755 @@ +# 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@ 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+libSpec_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 = libSpec.la +HEAD = ../includes/spec.h +libSpec_la_SOURCES = $(HEAD) \ + sspeca.c \ + dspeca.c \ + cspeca.c \ + zspeca.c + +check_LDADD = $(top_builddir)/src/c/type/libDoubleComplex.la \ + $(top_builddir)/src/c/type/libFloatComplex.la \ + $(top_builddir)/src/c/elementaryFunctions/sqrt/libSqrt.la \ + $(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 \ + 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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 cspeca(floatComplex* in, int rows, floatComplex* out){ + /* As we use Lapack to find the eigenvalues, we must cast the floatComplex input into doubleComplex + and the doubleComplex output of dspeca into floatComplex*/ + + int i; + doubleComplex* dblin; + doubleComplex* dblout; + + dblin=(doubleComplex*)malloc((unsigned int)(rows*rows)*sizeof(doubleComplex)); + dblout=(doubleComplex*)malloc((unsigned int)rows*sizeof(doubleComplex)); + + for (i=0;i<rows*rows;i++) dblin[i]=DoubleComplex((double)creals(in[i]),(double)cimags(in[i])); + + zspeca(dblin,rows,dblout); + + for (i=0;i<rows;i++) out[i]=FloatComplex((float)zreals(dblout[i]),(float)zimags(dblout[i])); +} diff --git a/2.3-1/src/c/matrixOperations/spec/dspeca.c b/2.3-1/src/c/matrixOperations/spec/dspeca.c new file mode 100644 index 00000000..1131ecf2 --- /dev/null +++ b/2.3-1/src/c/matrixOperations/spec/dspeca.c @@ -0,0 +1,71 @@ +/* + * 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 dspeca(double* in, int rows,double* out){ + int i=0, j=0; + int symmetric=0; + int INFO=0; + int iWorkSize = 0; + double* pdblWork; + double* outReal; + double* outImag; + double* pdblLeftvectors; + double* pdblRightvectors; + double* inCopy; + + inCopy = (double*)malloc((unsigned int)(rows*rows) * sizeof(double)); + outReal = (double*)malloc((unsigned int)rows * sizeof(double)); + outImag = (double*)malloc((unsigned int)rows * sizeof(double)); + pdblLeftvectors=NULL; + pdblRightvectors=NULL; + + + iWorkSize = 3*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; + + /* 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)( "N", "U", &rows, in, &rows, outReal, pdblWork, &iWorkSize, &INFO ); + } + else { + C2F(dgeev)( "N", "N", &rows, inCopy, &rows, outReal, outImag, + pdblLeftvectors, &rows, pdblRightvectors, &rows, pdblWork, &iWorkSize, &INFO ); + } + + for (i=0;i<rows;i++) out[i]=outReal[i]; + + + free(inCopy); + free(outReal); + free(outImag); + free(pdblWork); + free(pdblLeftvectors); + free(pdblRightvectors); +} + diff --git a/2.3-1/src/c/matrixOperations/spec/sspeca.c b/2.3-1/src/c/matrixOperations/spec/sspeca.c new file mode 100644 index 00000000..50751a29 --- /dev/null +++ b/2.3-1/src/c/matrixOperations/spec/sspeca.c @@ -0,0 +1,34 @@ +/* + * 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 sspeca(float* in, int rows, float* out){ + /* As we use Lapack to find the eigenvalues, we must cast the float input into double + and the doubleComplex output of dspeca into floatComplex*/ + + int i; + double* dblin; + double* dblout; + + dblin=(double*)malloc((unsigned int)(rows*rows)*sizeof(double)); + dblout=(double*)malloc((unsigned int)rows*sizeof(double)); + + for (i=0;i<rows*rows;i++) dblin[i]=(double)in[i]; + + dspeca(dblin,rows,dblout); + + for (i=0;i<rows;i++) out[i]=(float)dblout[i]; +} diff --git a/2.3-1/src/c/matrixOperations/spec/testDoubleSpec.c b/2.3-1/src/c/matrixOperations/spec/testDoubleSpec.c new file mode 100644 index 00000000..25c88065 --- /dev/null +++ b/2.3-1/src/c/matrixOperations/spec/testDoubleSpec.c @@ -0,0 +1,116 @@ +/* + * 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 "stdio.h" +#include "assert.h" +#include "math.h" + +static void dspecaTest(void){ + double in[4]={1,1,1,3}; + double resultR[2]={0.5857864376269050765700,3.4142135623730949234300}; + + + double *out; + + int i; + + out=(double*)malloc((unsigned int)2*sizeof(double)); + + dspeca(in,2,out); + for(i=0;i<2;i++){ + if (out[i]>1e-16) assert( fabs(out[i]-resultR[i]) / fabs(out[i]) <3e-16); + else assert(1); + } + +} + + + + +static void zspecaTest(void){ + double inR[4]={1,1,1,3}; + double inI[4]={0,0,0,0}; + double resultR[2]={0.5857864376269050765700,3.4142135623730949234300}; + double resultI[2]={0,0}; + + double in2R[4]={1,1,-2,3}; + double in2I[4]={0,0,0,0}; + double result2R[2]={1.9999999999999997779554,1.9999999999999997779554}; + double result2I[2]={0.9999999999999997779554,-0.9999999999999997779554}; + + double in3R[16]={0.0603054538369178771973,0.631347181741148233414 ,0.0241030259057879447937,0.1527438252232968807221, + 0.9481177683919668197632,0.2744265575893223285675,0.4794727200642228126526,0.485576837789267301559, + 0.676400367170572280884,0.8321249918080866336823,0.0125875836238265037537,0.5453779897652566432953, + 0.8426716942340135574341,0.9029165101237595081329,0.4409482078626751899719,0.8332359003834426403046 }; + double in3I[16]={0.7233976423740386962891,0.4377150186337530612946,0.3080607382580637931824,0.8749813153408467769623, + 0.5355882328003644943237 ,0.3085998897440731525421,0.3354632416740059852600,0.2342486302368342876434, + 0.2589411698281764984131,0.8521509231068193912506,0.4821739485487341880798,0.6095217890106141567230, + 0.9872822705656290054321,0.9811426815576851367950,0.3303113700821995735169,0.3589145573787391185761}; + double result3R[4]={1.9486046375762748894545,0.2315060459861970343365,- 0.7694743345806510648188,- 0.2300808535483104266817}; + double result3I[4]={2.1242015857341254303492,- 0.4115101262891645017561,- 0.1980716835789462781925,0.3584662621795701720195}; + + doubleComplex *in,*in2,*in3,out[2],out2[4]; + + int i; + + in=DoubleComplexMatrix(inR,inI,4); + in2=DoubleComplexMatrix(in2R,in2I,4); + in3=DoubleComplexMatrix(in3R,in3I,16); + + zspeca(in,2,out); + for(i=0;i<2;i++){ + if (zreals(out[i])>1e-16) assert( fabs(zreals(out[i])-resultR[i]) / fabs(zreals(out[i])) <3e-16); + else assert(1); + if (zimags(out[i])>1e-16) assert( fabs(zimags(out[i])-resultI[i]) / fabs(zimags(out[i])) <1e-16); + else assert(1); + } + + + zspeca(in2,2,out); + for(i=0;i<2;i++){ + if (zreals(out[i])>1e-16) assert( fabs(zreals(out[i])-result2R[i]) / fabs(zreals(out[i])) <3e-16); + else assert(1); + if (zimags(out[i])>1e-16) assert( fabs(zimags(out[i])-result2I[i]) / fabs(zimags(out[i])) <3e-15); + else assert(1); + } + + + zspeca(in3,4,out2); + for(i=0;i<4;i++){ + if (zreals(out2[i])>1e-16) assert( fabs(zreals(out2[i])-result3R[i]) / fabs(zreals(out2[i])) <3e-15); + else assert(1); + if (zimags(out2[i])>1e-16) assert( fabs(zimags(out2[i])-result3I[i]) / fabs(zimags(out2[i])) <3e-15); + else assert(1); + } + + +} + + +static int testSpec(void){ + printf(">>> Double Spec Tests <<<\n"); + printf(">>> Double <<<\n"); + dspecaTest(); + printf(">>> DoubleComplex <<<\n"); + zspecaTest(); + return 0; +} + + +int main(void){ + assert (testSpec()==0); + + + return 0; +} diff --git a/2.3-1/src/c/matrixOperations/spec/testFloatSpec.c b/2.3-1/src/c/matrixOperations/spec/testFloatSpec.c new file mode 100644 index 00000000..9bd46adc --- /dev/null +++ b/2.3-1/src/c/matrixOperations/spec/testFloatSpec.c @@ -0,0 +1,110 @@ +/* + * 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 "stdio.h" +#include "assert.h" +#include "math.h" + +static void sspecaTest(void){ + float in[4]={1.0f,1.0f,1.0f,3.0f}; + float resultR[2]={0.5857864376269050765700f,3.4142135623730949234300f}; + + float in1[4]={0.0f,4.0f,1.0f,0.0f}; + float result[2]={2.0f,-2.0f}; + + float in2[4]={1.0f,1.0f,-2.0f,3.0f}; + + float *out; + + int i; + + out=(float *)malloc((unsigned int)2*sizeof(float)); + + sspeca(in,2,out); + for (i=0;i<2;i++) printf("%f\n",out[i]); + for(i=0;i<2;i++){ + if (out[i]>1e-16) assert( fabs(out[i]-resultR[i]) / fabs(out[i]) <1e-16); + else assert(1); + } + + + sspeca(in1,2,out); + for (i=0;i<2;i++) printf("%f\n",out[i]); + for(i=0;i<2;i++){ + if (out[i]>1e-16) assert( fabs(out[i]-result[i]) / fabs(out[i]) <1e-16); + else assert(1); + } + + sspeca(in2,2,out); + for (i=0;i<2;i++) printf("%f\n",out[i]); + +} + + +static void cspecaTest(void){ + float inR[4]={1.0f,1.0f,1.0f,3.0f}; + float inI[4]={0.0f,0.0f,0.0f,0.0f}; + float resultR[2]={0.5857864376269050765700f,3.4142135623730949234300f}; + float resultI[2]={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 result2R[2]={1.9999999999999997779554f,1.9999999999999997779554f}; + float result2I[2]={0.9999999999999997779554f,-0.9999999999999997779554f}; + + floatComplex *in,*in2,out[4]; + + int i; + + in=FloatComplexMatrix(inR,inI,4); + in2=FloatComplexMatrix(in2R,in2I,4); + + cspeca(in,2,out); + for(i=0;i<2;i++){ + if (creals(out[i])>1e-16) assert( fabs(creals(out[i])-resultR[i]) / fabs(creals(out[i])) <1e-15); + else assert(1); + if (cimags(out[i])>1e-16) assert( fabs(cimags(out[i])-resultI[i]) / fabs(cimags(out[i])) <1e-16); + else assert(1); + } + + + cspeca(in2,2,out); + for(i=0;i<2;i++){ + if (creals(out[i])>1e-16) assert( fabs(creals(out[i])-result2R[i]) / fabs(creals(out[i])) <1e-15); + else assert(1); + if (cimags(out[i])>1e-16) assert( fabs(cimags(out[i])-result2I[i]) / fabs(cimags(out[i])) <1e-15); + else assert(1); + } + +} + + + + +static int testSpec(void){ + printf(">>> Float Spec Tests <<<\n"); + printf(">>> Float <<<\n"); + sspecaTest(); + printf(">>> FloatComplex <<<\n"); + cspecaTest(); + return 0; +} + + +int main(void){ + assert (testSpec()==0); + + + return 0; +} diff --git a/2.3-1/src/c/matrixOperations/spec/test_DoubleSpec/testDoubleSpec.vcxproj b/2.3-1/src/c/matrixOperations/spec/test_DoubleSpec/testDoubleSpec.vcxproj new file mode 100644 index 00000000..f696bff4 --- /dev/null +++ b/2.3-1/src/c/matrixOperations/spec/test_DoubleSpec/testDoubleSpec.vcxproj @@ -0,0 +1,178 @@ +<?xml version="1.0" encoding="utf-8"?>
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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 "conj.h" + +void zspeca(doubleComplex* in, int rows,doubleComplex* out){ + int i = 0, j = 0; + int hermitian = 0; + int INFO = 0; + int iWorkSize = 0; + doubleComplex* pdblWork; + doubleComplex* pdblLeftvectors; + doubleComplex* pdblRightvectors; + doubleComplex* pdblRWork; + 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 = (doubleComplex*)malloc((unsigned int)(3*rows) * sizeof(doubleComplex)); + + for(i=0;i<rows*rows;i++) inCopy[i]=DoubleComplex(zreals(in[i]),zimags(in[i])); + + /* 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){ + C2F(zheev)( "N", "U", &rows, inCopy, &rows, outReal, pdblWork, &iWorkSize, outImag, &INFO ); + dzerosa(outImag,1,rows); + for (i=0;i<rows;i++) out[i]=DoubleComplex(outReal[i],outImag[i]); + } + else { + C2F(zgeev)( "N", "N", &rows, inCopy, &rows, out, + pdblLeftvectors, &rows, pdblRightvectors, &rows, pdblWork, &iWorkSize, + pdblRWork, &INFO ); + } + + + + free(inCopy); + free(outReal); + free(outImag); + free(pdblWork); + free(pdblRWork); + free(pdblLeftvectors); + free(pdblRightvectors); +} diff --git a/2.3-1/src/c/matrixOperations/spec2/Makefile.am b/2.3-1/src/c/matrixOperations/spec2/Makefile.am new file mode 100644 index 00000000..5a357fa5 --- /dev/null +++ b/2.3-1/src/c/matrixOperations/spec2/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 +## +## + +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 +############ + + +check_PROGRAMS = testDoubleSpec2 testFloatSpec2 + +check_LDADD = $(top_builddir)/src/c/type/libDoubleComplex.la \ + $(top_builddir)/src/c/type/libFloatComplex.la \ + $(top_builddir)/src/c/elementaryFunctions/sqrt/libSqrt.la \ + $(top_builddir)/src/fortran/lapack/libscilapack.la \ + $(top_builddir)/src/fortran/blas/libsciblas.la \ + 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export all variables. +# Otherwise a system limit (for SysV at least) may be exceeded. +.NOEXPORT: diff --git a/2.3-1/src/c/matrixOperations/spec2/cspec2a.c b/2.3-1/src/c/matrixOperations/spec2/cspec2a.c new file mode 100644 index 00000000..d3a4312f --- /dev/null +++ b/2.3-1/src/c/matrixOperations/spec2/cspec2a.c @@ -0,0 +1,36 @@ +/* + * 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/2.3-1/src/c/matrixOperations/spec2/dspec2a.c b/2.3-1/src/c/matrixOperations/spec2/dspec2a.c new file mode 100644 index 00000000..98b2c5ad --- /dev/null +++ b/2.3-1/src/c/matrixOperations/spec2/dspec2a.c @@ -0,0 +1,113 @@ +/* + * 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/2.3-1/src/c/matrixOperations/spec2/sspec2a.c b/2.3-1/src/c/matrixOperations/spec2/sspec2a.c new file mode 100644 index 00000000..d3ab00d5 --- /dev/null +++ b/2.3-1/src/c/matrixOperations/spec2/sspec2a.c @@ -0,0 +1,36 @@ +/* + * 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/2.3-1/src/c/matrixOperations/spec2/testDoubleSpec2.c b/2.3-1/src/c/matrixOperations/spec2/testDoubleSpec2.c new file mode 100644 index 00000000..a090f028 --- /dev/null +++ b/2.3-1/src/c/matrixOperations/spec2/testDoubleSpec2.c @@ -0,0 +1,261 @@ +/* + * 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/2.3-1/src/c/matrixOperations/spec2/testFloatSpec2.c b/2.3-1/src/c/matrixOperations/spec2/testFloatSpec2.c new file mode 100644 index 00000000..fb2bc255 --- /dev/null +++ b/2.3-1/src/c/matrixOperations/spec2/testFloatSpec2.c @@ -0,0 +1,134 @@ +/* + * 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; +} diff --git a/2.3-1/src/c/matrixOperations/spec2/test_DoubleSpec2/testDoubleSpec2.vcxproj b/2.3-1/src/c/matrixOperations/spec2/test_DoubleSpec2/testDoubleSpec2.vcxproj new file mode 100644 index 00000000..7c36943b --- /dev/null +++ b/2.3-1/src/c/matrixOperations/spec2/test_DoubleSpec2/testDoubleSpec2.vcxproj @@ -0,0 +1,178 @@ +<?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/matrixOperations/spec2/zspec2a.c b/2.3-1/src/c/matrixOperations/spec2/zspec2a.c new file mode 100644 index 00000000..e33ed897 --- /dev/null +++ b/2.3-1/src/c/matrixOperations/spec2/zspec2a.c @@ -0,0 +1,96 @@ +/* + * 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); +} diff --git a/2.3-1/src/c/matrixOperations/transpose/ztransposea.c b/2.3-1/src/c/matrixOperations/transpose/ztransposea.c index c0e91844..e42d74d2 100644 --- a/2.3-1/src/c/matrixOperations/transpose/ztransposea.c +++ b/2.3-1/src/c/matrixOperations/transpose/ztransposea.c @@ -17,11 +17,11 @@ void ztransposea ( doubleComplex* in , int lines , int columns, doubleComplex* o int i = 0 ; int j = 0 ; - for(i = 0 ; i<lines ; i++) + for(i = 0 ; i < lines ; i++) { - for(j = 0 ; j < columns ; j++) + for(j = 0 ; j < columns ; j++) - out[j+i*columns] = in[i+j*lines]; + out[j+i*columns] = in[i+j*lines]; } } |