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/*
* 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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