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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 "matrixPow.h"
#include <stdio.h>
#include <assert.h>
#include <math.h>
static void spowmaTest(void){
float in1[4]={1,5,4,2};
float expand1=2.2f;
float result1R[4]={ 27.93459280052221771484f , 23.580294119266994812278f ,
18.864235295413593007652f , 32.650651624375619519469f };
float out1[4];
int i;
float in2[16]={ 2.5358983855694532394409f , 9.0725262500345706939697f, 0.0026536155492067337036f, 3.9639251008629798889160f ,
7.9845732506364583969116f, 7.5407014600932598114014f, 10.196942830458283424377f , 8.2287722378969192504883f ,
10.538597775623202323914f, 0.8204884417355060577393f, 6.7301832754164934158325f, 7.9482832476496696472168f,
8.7162081208080053329468f , 2.3821726106107234954834f , 6.5310877952724695205688f, 2.784897476434707641602f };
float expand2 = 3.4683557949028909206390f;
float result2R[16]={13801.893971410685480805f , 9622.6108799100766191259f , 10325.586569611912636901f, 10694.791005280343597406f ,
24728.411825244897045195f , 18392.823733925368287601f , 18631.05868385956637212f , 19357.84707477861229563f ,
16169.682243927050876664f , 12258.542785024719705689f , 12630.164466338968850323f , 12827.915677254180991440f ,
13742.841851328515986097f , 10198.0420642120679986f , 10658.784670951883526868f , 10839.51135004585739807f };
float out2[16];
spowma(in1, 2, expand1, out1);
spowma(in2, 4, expand2, out2);
for (i=0;i<4;i++) {
assert( fabs(out1[i]-result1R[i]) / fabs(out1[i]) <1e-6);
}
for (i=0;i<16;i++) {
assert( fabs(out2[i]-result2R[i]) / fabs(out2[i]) <1e-6);
}
}
static void cpowmaTest(void){
{
float inR[9]={1,2,3,4,5,6,7,8,9};
float inI[9]={1,2,3,4,5,6,7,8,9};
float resultR[9]={- 4.7115011361608578610571f,- 2.0782061409646632732517f,0.5550888542315330909105f,
- 2.3202132490900626571317f,- 2.4412168031527574640904f,- 2.5622203572154611528333f,
0.0710746379807356554181f,- 2.80422746534086453352f,- 5.6795295686624518438634f};
float resultI[9]={- 12.188702380084603049681f,- 4.0827818504168584823333f,4.0231386792508754268738f,
- 3.0919079733956360556135f,- 2.5964710348850239540752f,- 2.1010340963744131848046f,
6.0048864332933264975622f,- 1.1101602193531934226201f,- 8.2252068719997026846613f};
floatComplex *in,out[9];
int i;
in=FloatComplexMatrix(inR,inI,9);
cpowma(in, 3, FloatComplex(1,1), out);
for (i=0;i<9;i++) printf("out[%d] = %f+%f*i\n",i,creals(out[i]),cimags(out[i]));
for (i=0;i<9;i++){
assert( (fabs(creals(out[i])-resultR[i])/ fabs(creals(out[i])) ) <3e-5);
assert( (fabs(cimags(out[i])-resultI[i])/ fabs(cimags(out[i])) ) <1e-6);
}
}
{
float in1R[4]={1,5,4,2};
float in1I[4]={0};
float expand1=2.2f;
float result1R[4]={ 27.93459280052221771484f , 23.580294119266994812278f ,
18.864235295413593007652f , 32.650651624375619519469f };
float result1I[4]={ 3.6611113731522362257920f , - 3.6611113731522362257920f ,
- 2.9288890985217883589087f , 2.9288890985217883589087f };
floatComplex out1[4];
int i;
float in2R[16]={ 2.5358983855694532394409f , 9.0725262500345706939697f, 0.0026536155492067337036f, 3.9639251008629798889160f ,
7.9845732506364583969116f, 7.5407014600932598114014f, 10.196942830458283424377f , 8.2287722378969192504883f ,
10.538597775623202323914f, 0.8204884417355060577393f, 6.7301832754164934158325f, 7.9482832476496696472168f,
8.7162081208080053329468f , 2.3821726106107234954834f , 6.5310877952724695205688f, 2.784897476434707641602f };
float in2I[16]={0};
float expand2 = 3.4683557949028909206390f;
float result2R[16]={13801.893971410685480805f , 9622.6108799100766191259f , 10325.586569611912636901f, 10694.791005280343597406f ,
24728.411825244897045195f , 18392.823733925368287601f , 18631.05868385956637212f , 19357.84707477861229563f ,
16169.682243927050876664f , 12258.542785024719705689f , 12630.164466338968850323f , 12827.915677254180991440f ,
13742.841851328515986097f , 10198.0420642120679986f , 10658.784670951883526868f , 10839.51135004585739807f };
float result2I[16]={ - 7.1981835972120027378196f , 1.9386514637886893552832f, - 17.692616672339234185074f , 24.561537532538231687340f ,
- 2.2418859631076406557781f , 0.6037961445855435371755f, - 5.5103941755046683681485f, 7.649730724813480264857f ,
- 4.865855522250573272913f , 1.310496989059492634056f , - 11.95992230200565309417f , 16.603201547139228466676f ,
16.00935601900000193609f , - 4.3117212921047043394651f , 39.34984366402868971591f , - 54.626892107189902958453f };
floatComplex out2[16];
floatComplex *in1,*in2;
in1=FloatComplexMatrix(in1R,in1I,4);
in2=FloatComplexMatrix(in2R,in2I,16);
cpowma(in1, 2, FloatComplex(expand1,0), out1);
cpowma(in2, 4, FloatComplex(expand2,0), out2);
for (i=0;i<4;i++) {
assert( fabs(creals(out1[i])-result1R[i]) / fabs(creals(out1[i])) <1e-6);
assert( fabs(cimags(out1[i])-result1I[i]) / fabs(cimags(out1[i])) <1e-6);
}
for (i=0;i<16;i++) {
assert( fabs(creals(out2[i])-result2R[i]) / fabs(creals(out2[i])) <1e-6);
assert( fabs(cimags(out2[i])-result2I[i]) / fabs(cimags(out2[i])) <1e-6);
}
}
}
int main(void){
spowmaTest();
cpowmaTest();
return 0;
}
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