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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 <assert.h>
#include <math.h>
#include <stdio.h>
#include "logm.h"
static void slogmaTest(void){
int i=0;
float in4[4] = {0.0683740368112921714783f,0.5608486062847077846527f,
0.6623569373041391372681f,0.7263506767340004444122f };
float in9[9] = {0.1985143842175602912903f,0.5442573162727057933807f,0.2320747897028923034668f,
0.2312237196601927280426f,0.2164632631465792655945f,0.8833887814544141292572f,
0.6525134947150945663452f,0.3076090742833912372589f,0.9329616213217377662659f};
float in16[16] = {2.1460078610107302665710f,3.126419968903064727783f,3.6163610080257058143616f,2.922266637906432151794f,
5.664248815737664699554f,4.8264719732105731964111f,3.3217189135029911994934f,5.9350947011262178421021f,
5.0153415976092219352722f,4.3685875833034515380859f,2.6931248093023896217346f,6.3257448654621839523315f,
4.051954015158116817474f,9.1847078315913677215576f,0.4373343335464596748352f,4.818508932366967201233f};
float inHer[16] = {2.0f,3.0f,4.0f,5.0f,3.0f,1.0f,7.0f,9.0f,4.0f,7.0f,2.0f,4.0f,5.0f,9.0f,4.0f,7.0f};
float result4R[4]={- 0.8770746698483730119378f,0.5288031941140065583795f,
0.6245116064569415925689f,- 0.2566930821175439358939f};
float result9R[9]={- 0.8537183024765053751537f,1.9622873186332121520081f,- 0.8931518563294031931577f,
- 0.6983367178614473536f,- 1.1199049557115796638129f,1.539392415892589571769f,
1.0815849580686147657f,- 0.4078285487954845245362f,0.1789837218054647349774f};
float result16R[16]={1.4069394184534917968676f,- 1.7915236034592834091228f,2.3099248310776610004780f,0.5320777350783232328979f,
0.6986579270151970222358f,0.9874373592109859654187f,0.8902400742596190408307f,0.6067035092100719895214f,
0.0466142343271527676007f,0.3821963653954382200695f,1.129789301050062144682f,1.2310339071369393870725f,
0.424502387440284123521f,3.4580528009566289249221f,- 2.1337657344549150195689f,1.0826836628584670663145f};
float resultHerR[16]={- 0.0707459665791660696765f,0.9744491331561414559914f,0.0316695005563280007621f,0.9186825501429138896015f,
0.9744491331561416780360f,1.9318283614573175110962f,- 0.0664515082056250649956f,0.3546926741474874522631f,
0.0316695005563280562733f,- 0.0664515082056250649956f,0.3206743709780528472919f,1.82590946141052867802f,
0.9186825501429141116461f,0.3546926741474875632854f,1.82590946141052867802f,0.9537374500729456361370f};
float out4[4],out9[9],out16[16],outHer[16];
slogma(in4,2,out4);
slogma(in9,3,out9);
slogma(in16,4,out16);
slogma(inHer,4,outHer);
for(i=0;i<4;i++) {
assert( (fabs(out4[i]-result4R[i]) / fabs(out4[i])) <1e-6);
}
for(i=0;i<9;i++) {
assert( (fabs(out9[i]-result9R[i]) / fabs(out9[i])) <1e-6);
}
for(i=0;i<16;i++) {
assert( (fabs(out16[i]-result16R[i]) / fabs(out16[i])) <1e-6);
}
for(i=0;i<16;i++) {
assert( (fabs(outHer[i]-resultHerR[i]) / fabs(outHer[i])) <1e-7);
}
}
static void clogmaTest(void){
int i;
float in4D[4] = {0.0683740368112921714783f,0.5608486062847077846527f,
0.6623569373041391372681f,0.7263506767340004444122f };
float in9D[9] = {0.1985143842175602912903f,0.5442573162727057933807f,0.2320747897028923034668f,
0.2312237196601927280426f,0.2164632631465792655945f,0.8833887814544141292572f,
0.6525134947150945663452f,0.3076090742833912372589f,0.9329616213217377662659f};
float in16D[16] = {2.1460078610107302665710f,3.126419968903064727783f,3.6163610080257058143616f,2.922266637906432151794f,
5.664248815737664699554f,4.8264719732105731964111f,3.3217189135029911994934f,5.9350947011262178421021f,
5.0153415976092219352722f,4.3685875833034515380859f,2.6931248093023896217346f,6.3257448654621839523315f,
4.051954015158116817474f,9.1847078315913677215576f,0.4373343335464596748352f,4.818508932366967201233f};
float inHerD[16] = {2.0f,3.0f,4.0f,5.0f,3.0f,1.0f,7.0f,9.0f,4.0f,7.0f,2.0f,4.0f,5.0f,9.0f,4.0f,7.0f};
float result4R[4]={- 0.8770746698483730119378f,0.5288031941140065583795f,
0.6245116064569415925689f,- 0.2566930821175439358939f};
float result4I[4]={2.3169161534469857599561f,- 1.2719608554746495432397f,
- 1.5021738258100643115256f,0.8246765001428078001311f};
float result9R[9]={- 0.8537183024765053751537f,1.9622873186332121520081f,- 0.8931518563294031931577f,
- 0.6983367178614473536f,- 1.1199049557115796638129f,1.539392415892589571769f,
1.0815849580686147657f,- 0.4078285487954845245362f,0.1789837218054647349774f};
float result9I[9]={- 0.0000000000000006661338f,0.0000000000000005551115f,0.0000000000000001110223f,
0.0000000000000002844947f,0.0000000000000004163336f,- 0.0000000000000008743006f,
0.0000000000000001665335f,- 0.0000000000000004996004f,0.0000000000000003330669f};
float result16R[16]={1.4069394184534917968676f,- 1.7915236034592834091228f,2.3099248310776610004780f,0.5320777350783232328979f,
0.6986579270151970222358f,0.9874373592109859654187f,0.8902400742596190408307f,0.6067035092100719895214f,
0.0466142343271527676007f,0.3821963653954382200695f,1.129789301050062144682f,1.2310339071369393870725f,
0.424502387440284123521f,3.4580528009566289249221f,- 2.1337657344549150195689f,1.0826836628584670663145f};
float result16I[16]={-1.4875734535892033427729f,+ 1.8146634352088595321106f,-0.0551064758054355952055f,-0.8617364610492967980093f,
+ 1.0892397305420760122985f,-1.3287434690517783142383f,+ 0.0403503858667347281575f,+ 0.6309857092212021179023f,
+ 1.3838992102024216813f,-1.6881931367553519862668f,+ 0.0512659110447117594145f,+ 0.8016790061501579689463f,
-0.6500053973791579675634f,+ 0.7929296025459252605927f,-0.0240791515993044047406f,-0.3765416419935233571792f};
float resultHerR[16]={- 0.0707459665791660696765f,0.9744491331561414559914f,0.0316695005563280007621f,0.9186825501429138896015f,
0.9744491331561416780360f,1.9318283614573175110962f,- 0.0664515082056250649956f,0.3546926741474874522631f,
0.0316695005563280562733f,- 0.0664515082056250649956f,0.3206743709780528472919f,1.82590946141052867802f,
0.9186825501429141116461f,0.3546926741474875632854f,1.82590946141052867802f,0.9537374500729456361370f};
float resultHerI[16]={2.1383917599789858954296f,- 0.5351429414718615884539f,- 1.3567950682942089279948f,0.1340361867044403687554f,
- 0.5351429414718615884539f,2.2766753224580762449136f,- 0.6151069729626167381653f,- 1.1421039303668867326280f,
- 1.3567950682942089279948f,- 0.6151069729626165161207f,1.2861990290089324595613f,0.4088471998565592624431f,
0.1340361867044403965110f,- 1.1421039303668867326280f,0.4088471998565592624431f,0.5819191957335942966267f};
floatComplex out4[4],out9[9],out16[16],outHer[16];
floatComplex in4[4],in9[9],in16[16],inHer[16];
for(i=0;i<4;i++) in4[i]=FloatComplex(in4D[i],0);
for(i=0;i<9;i++) in9[i]=FloatComplex(in9D[i],0);
for(i=0;i<16;i++) in16[i]=FloatComplex(in16D[i],0);
for(i=0;i<16;i++) inHer[i]=FloatComplex(inHerD[i],0);
clogma(in4,2,out4);
clogma(in9,3,out9);
clogma(in16,4,out16);
clogma(inHer,4,outHer);
for(i=0;i<4;i++) {
assert( fabs(creals(out4[i])-result4R[i]) / fabs(creals(out4[i])) <1e-6);
assert( fabs(cimags(out4[i])-result4I[i]) / fabs(cimags(out4[i])) <1e-6);
}
for(i=0;i<9;i++) {
assert( fabs(creals(out9[i])-result9R[i]) / fabs(creals(out9[i])) <1e-6);
if (cimags(out9[i])>1e-15) assert( fabs(cimags(out9[i])-result9I[i]) / fabs(cimags(out9[i])) <1e-7);
else assert(1);
}
/* FIXME : sign pb with the imaginary part below : it's due to the reals eigenvalues which are
stored like that : eigenvalues + (-0)*i instead of eigenvalues + 0 *i
When we do operations with eigenvalues the sign isn't good
*/
for(i=0;i<16;i++) {
printf("out[%d] = %f + %f *i ---result = %f + %f *i --- assert : %f + %f*i\n",
i,
creals(out16[i]),
cimags(out16[i]),
result16R[i],
result16I[i],
fabs(creals(out16[i])-result16R[i]) / fabs(creals(out16[i])),
fabs(cimags(out16[i])-result16I[i]) / fabs(cimags(out16[i])));
assert( fabs(creals(out16[i])-result16R[i]) / fabs(creals(out16[i])) <1e-6);
assert( fabs(cimags(out16[i])-result16I[i]) / fabs(cimags(out16[i])) <3e-6);
}
for(i=0;i<16;i++) {
assert( fabs(creals(outHer[i])-resultHerR[i]) / fabs(creals(outHer[i])) <1e-7);
assert( fabs(cimags(outHer[i])-resultHerI[i]) / fabs(cimags(outHer[i])) <1e-7);
}
}
static int logmTest(void){
slogmaTest();
clogmaTest();
return 0;
}
int main (void){
assert(logmTest()==0);
return 0;
}
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