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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 dpowmaTest(void){
double in1[4]={1,5,4,2};
double expand1=2.2;
double result1R[4]={ 27.93459280052221771484 , 23.580294119266994812278 ,
18.864235295413593007652 , 32.650651624375619519469 };
double out1[4];
int i;
double in2[16]={ 2.5358983855694532394409 , 9.0725262500345706939697, 0.0026536155492067337036, 3.9639251008629798889160 ,
7.9845732506364583969116, 7.5407014600932598114014, 10.196942830458283424377 , 8.2287722378969192504883 ,
10.538597775623202323914, 0.8204884417355060577393, 6.7301832754164934158325, 7.9482832476496696472168,
8.7162081208080053329468 , 2.3821726106107234954834 , 6.5310877952724695205688, 2.784897476434707641602 };
double expand2 = 3.4683557949028909206390;
double result2R[16]={13801.893971410685480805 , 9622.6108799100766191259 , 10325.586569611912636901, 10694.791005280343597406 ,
24728.411825244897045195 , 18392.823733925368287601 , 18631.05868385956637212 , 19357.84707477861229563 ,
16169.682243927050876664 , 12258.542785024719705689 , 12630.164466338968850323 , 12827.915677254180991440 ,
13742.841851328515986097 , 10198.0420642120679986 , 10658.784670951883526868 , 10839.51135004585739807 };
double out2[16];
dpowma(in1, 2, expand1, out1);
dpowma(in2, 4, expand2, out2);
for (i=0;i<4;i++) {
assert( fabs(out1[i]-result1R[i]) / fabs(out1[i]) <3e-15);
}
for (i=0;i<16;i++) {
assert( fabs(out2[i]-result2R[i]) / fabs(out2[i]) <3e-14);
}
}
/* FIXME : assert 1e-14 */
static void zpowmaTest(void){
/* Tests 1 */
{
double inR[9]={1,2,3,4,5,6,7,8,9};
double inI[9]={1,2,3,4,5,6,7,8,9};
double resultR[9]={- 4.7115011361608578610571,- 2.0782061409646632732517,0.5550888542315330909105,
- 2.3202132490900626571317,- 2.4412168031527574640904,- 2.5622203572154611528333,
0.0710746379807356554181,- 2.80422746534086453352,- 5.6795295686624518438634};
double resultI[9]={- 12.188702380084603049681,- 4.0827818504168584823333,4.0231386792508754268738,
- 3.0919079733956360556135,- 2.5964710348850239540752,- 2.1010340963744131848046,
6.0048864332933264975622,- 1.1101602193531934226201,- 8.2252068719997026846613};
doubleComplex *in,out[9];
int i;
in=DoubleComplexMatrix(inR,inI,9);
zpowma(in, 3, DoubleComplex(1,1), out);
for (i=0;i<9;i++) printf("out[%d] = %f+%f*i\n",i,zreals(out[i]),zimags(out[i]));
for (i=0;i<9;i++){
assert( (fabs(zreals(out[i])-resultR[i])/ fabs(zreals(out[i])) ) <3e-13);
assert( (fabs(zimags(out[i])-resultI[i])/ fabs(zimags(out[i])) ) <3e-13);
}
}
/* Tests 2 and 3 */
{
double in1R[4]={1,5,4,2};
double in1I[4]={0};
double expand1=2.2;
double result1R[4]={ 27.93459280052221771484 , 23.580294119266994812278 ,
18.864235295413593007652 , 32.650651624375619519469 };
double result1I[4]={ 3.6611113731522362257920 , - 3.6611113731522362257920 ,
- 2.9288890985217883589087 , 2.9288890985217883589087 };
doubleComplex out1[4];
int i;
double in2R[16]={ 2.5358983855694532394409 , 9.0725262500345706939697, 0.0026536155492067337036, 3.9639251008629798889160 ,
7.9845732506364583969116, 7.5407014600932598114014, 10.196942830458283424377 , 8.2287722378969192504883 ,
10.538597775623202323914, 0.8204884417355060577393, 6.7301832754164934158325, 7.9482832476496696472168,
8.7162081208080053329468 , 2.3821726106107234954834 , 6.5310877952724695205688, 2.784897476434707641602 };
double in2I[16]={0};
double expand2 = 3.4683557949028909206390;
double result2R[16]={13801.893971410685480805 , 9622.6108799100766191259 , 10325.586569611912636901, 10694.791005280343597406 ,
24728.411825244897045195 , 18392.823733925368287601 , 18631.05868385956637212 , 19357.84707477861229563 ,
16169.682243927050876664 , 12258.542785024719705689 , 12630.164466338968850323 , 12827.915677254180991440 ,
13742.841851328515986097 , 10198.0420642120679986 , 10658.784670951883526868 , 10839.51135004585739807 };
double result2I[16]={ - 7.1981835972120027378196 , 1.9386514637886893552832, - 17.692616672339234185074 , 24.561537532538231687340 ,
- 2.2418859631076406557781 , 0.6037961445855435371755, - 5.5103941755046683681485, 7.649730724813480264857 ,
- 4.865855522250573272913 , 1.310496989059492634056 , - 11.95992230200565309417 , 16.603201547139228466676 ,
16.00935601900000193609 , - 4.3117212921047043394651 , 39.34984366402868971591 , - 54.626892107189902958453 };
doubleComplex out2[16];
doubleComplex *in1,*in2;
in1=DoubleComplexMatrix(in1R,in1I,4);
in2=DoubleComplexMatrix(in2R,in2I,16);
zpowma(in1, 2, DoubleComplex(expand1,0), out1);
zpowma(in2, 4, DoubleComplex(expand2,0), out2);
for (i=0;i<4;i++) {
assert( fabs(zreals(out1[i])-result1R[i]) / fabs(zreals(out1[i])) <3e-15);
assert( fabs(zimags(out1[i])-result1I[i]) / fabs(zimags(out1[i])) <3e-15);
}
/*
FIXME : assert 1e-11 maybe due to spec2
*/
for (i=0;i<16;i++) {
printf("out[%d] = %1.16f+%1.16f*i --- result = %1.16f+%1.16f*i\n",i,zreals(out2[i]),zimags(out2[i]),result2R[i],result2I[i]);
assert( fabs(zreals(out2[i])-result2R[i]) / fabs(zreals(out2[i])) <3e-11);
assert( fabs(zimags(out2[i])-result2I[i]) / fabs(zimags(out2[i])) <3e-11);
}
}
}
int main(void){
dpowmaTest();
zpowmaTest();
return 0;
}
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