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/*
* Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
* Copyright (C) 2008-2008 - INRIA - Allan SIMON
*
* 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 <assert.h>
#include <stdio.h>
#include <math.h>
#include "fft.h"
#define test1 {0.2113249000000000099586,0.3303270999999999846253,0.8497451999999999783242,0.0683740000000000042180,\
0.7560438999999999909463,0.6653810999999999475918,0.6857309999999999794440,0.5608486000000000304411,\
0.0002211000000000000075,0.6283917999999999448590,0.8782164999999999555058,0.6623569000000000261963}
#define test2 {0.2113249000000000099586,0.6857309999999999794440,\
0.3303270999999999846253,0.5608486000000000304411,\
0.8497451999999999783242,0.0002211000000000000075,\
0.0683740000000000042180,0.6283917999999999448590,\
0.7560438999999999909463,0.8782164999999999555058,\
0.6653810999999999475918,0.6623569000000000261963}
#define test3 {0.2113249000000000099586,0.7560438999999999909463,0.0002211000000000000075,\
0.3303270999999999846253,0.6653810999999999475918,0.6283917999999999448590,\
0.8497451999999999783242,0.6857309999999999794440,0.8782164999999999555058,\
0.0683740000000000042180,0.5608486000000000304411,0.6623569000000000261963}
#define test4 {0.2113249000000000099586,0.0683740000000000042180,0.6857309999999999794440,0.6283917999999999448590,\
0.3303270999999999846253,0.7560438999999999909463,0.5608486000000000304411,0.8782164999999999555058,\
0.8497451999999999783242,0.6653810999999999475918,0.0002211000000000000075,0.6623569000000000261963}
#define test6 {0.2113249000000000099586,0.8497451999999999783242,0.7560438999999999909463,0.6857309999999999794440,0.0002211000000000000075,0.8782164999999999555058,\
0.3303270999999999846253,0.0683740000000000042180,0.6653810999999999475918,0.5608486000000000304411,0.6283917999999999448590,0.6623569000000000261963}
#define test9 {1,2,3,4,5,6,7,8,9}
#define RRESULT1 {6.2969621000000000066166,-0.1908142591446193858662,0.0676336000000001824617,\
-1.4461027999999997994962,-0.7577484999999999359943,0.2136987591446193046618,\
0.4656031000000000474870,0.2136987591446193046618,-0.7577484999999999359943,\
-1.4461027999999997994962,0.0676336000000001824617,-0.1908142591446193858662}
#define IRESULT1 {0,-0.0438615735192828815059,-1.0572926567728160307524,0.3325204999999997745874,\
0.3011445725036896448046,-1.3036713264807171519521,0,1.3036713264807171519521,\
-0.3011445725036896448046,-0.3325204999999997745874,1.0572926567728160307524,\
0.0438615735192828815059}
#define RRESULT2 {6.2969621000000000066166,-0.5345696999999998144659,\
0.0676336000000000714394,-0.3918127000000001247670,\
-0.7577485000000003800835,-1.2843509999999995763176,\
0.4656030999999999364647,1.0404605000000000103455,\
-0.7577485000000003800835,-1.2843509999999995763176,\
0.0676336000000000714394,-0.3918127000000001247670}
#define IRESULT2 {0,0,\
-1.05729265677281625280,0.6392575178288871784460,\
0.3011445725036897003157,-1.043770536118125757952,\
0,0,\
-0.3011445725036897003157,1.043770536118125757952,\
1.05729265677281625280,-0.6392575178288871784460}
#define RRESULT3 {6.2969621000000000066166,-0.9588242499999999335358,-0.9588242499999999335358,\
-1.4461027999999997994962,-0.3545214899631756733101,-0.1146366100368243767793,\
0.4656031000000000474870,0.7607519500000001766438,0.7607519500000001766438,\
-1.4461027999999997994962,-0.1146366100368243767793,-0.3545214899631756733101}
#define IRESULT3 {0,0.4319893196725672623870,-0.4319893196725672623870,\
0.3325204999999997745874,1.0479284784196345459151,-0.5945896784196345041806,\
0,0.5437395057261036335206,-0.5437395057261036335206,\
-0.3325204999999997745874,0.5945896784196345041806,-1.0479284784196345459151}
#define RRESULT4 {6.2969621000000000066166,0.1445965000000000166835,-1.0205663000000000373291,\
0.1445965000000000166835,\
-0.7577485000000003800835,-0.6754837907274804376101,0.8107183000000001138474,\
-0.8923310092725194042629,\
-0.7577485000000003800835,-0.8923310092725194042629,0.8107183000000001138474,\
-0.6754837907274804376101}
#define IRESULT4 {0,-0.6791661999999999421718,0,0.6791661999999999421718,\
0.3011445725036897003157,-1.4357905268456061520510,-0.2297677979542606663266,\
-0.4349033268456063971996,\
-0.3011445725036897003157,0.4349033268456063971996,0.2297677979542606663266,\
1.4357905268456061520510}
#define RRESULT6 {6.2969621000000000066166,-0.5006002499999999688640,-0.4661336499999999549715,\
-1.113582300000000024909,-0.4661336499999999549715,-0.5006002499999999688640,\
0.46560309999999915931,0.5234847499999999431708,-0.2239812499999997985611,\
-1.7786232999999995740836,-0.2239812499999997985611,0.5234847499999999431708}
#define IRESULT6 {0,0.1475342691353691004785,-1.2256565689200087376776,0,1.2256565689200087376776,\
-0.1475342691353691004785,\
0,1.112275483826065114457,-0.1327806603564972709464,0,0.1327806603564972709464,\
-1.112275483826065114457}
#define RRESULT9 {45,-4.5,-4.5,-13.5,0,0,-13.5,0,0}
#define IRESULT9 {0,2.598076211353316011810,- 2.598076211353316011810,7.7942286340599471472501,0,0,- 7.7942286340599471472501,0,0}
static void dfftmaTest(void){
int i;
double in1[]=test1;
double in2[]=test2;
double in3[]=test3;
double in4[]=test4;
double in6[]=test6;
double in9[]=test9;
double resR1[]=RRESULT1;
double resR2[]=RRESULT2;
double resR3[]=RRESULT3;
double resR4[]=RRESULT4;
double resR6[]=RRESULT6;
double resR9[]=RRESULT9;
double out1[12], out2[12], out3[12], out4[12], out6[12], out9[9];
printf(" >>> Matrice 1*12 <<< \n");
dfftma(in1, 1, 12, out1);
for (i=0;i<12;i++){
printf("\t\n out : %e \t result : %e \t assert: %e",out1[i], resR1[i] ,(fabs(out1[i]-resR1[i]) / fabs(out1[i])) );
if (out1[i]>1e-16) assert( (fabs(out1[i]-resR1[i]) / fabs(out1[i])) < 1e-13);
else assert(1);
}
printf(" >>> Matrice 2*6 <<< \n");
dfftma(in2, 2, 6, out2);
for (i=0;i<12;i++){
printf("\n\t out : %e \t result : %e \t assert: %e\n",out2[i], resR2[i] ,(fabs(out2[i]-resR2[i]) / fabs(out2[i])) );
if (out2[i]>1e-16) assert( (fabs(out2[i]-resR2[i]) / fabs(out2[i])) < 1e-13);
else assert(1);
}
printf(" >>> Matrice 3*4 <<< \n");
dfftma(in3, 3, 4, out3);
for (i=0;i<12;i++){
if (out3[i]>1e-16) assert( (fabs(out3[i]-resR3[i]) / fabs(out3[i])) < 1e-13);
else assert(1);
}
printf(" >>> Matrice 4*3 <<< \n");
dfftma(in4, 4, 3, out4);
for (i=0;i<12;i++){
if (out4[i]>1e-16) assert( (fabs(out4[i]-resR4[i]) / fabs(out4[i])) < 1e-13);
else assert(1);
}
printf(" >>> Matrice 6*2 <<< \n");
dfftma(in6, 6, 2, out6);
for (i=0;i<12;i++){
if (out6[i]>1e-16) assert( (fabs(out6[i]-resR6[i]) / fabs(out6[i])) < 1e-13);
else assert(1);
}
printf(" >>> Matrice 3*3 <<< \n");
dfftma(in9, 3, 3, out9);
for (i=0;i<9;i++){
if (out9[i]>1e-16) assert( (fabs(out9[i]-resR9[i]) / fabs(out9[i])) < 1e-13);
else assert(1);
}
}
static void zfftmaTest(void){
int i;
double inR1[]=test1;
double inR2[]=test2;
double inR3[]=test3;
double inR4[]=test4;
double inR6[]=test6;
double inR9[]=test9;
double resR1[]=RRESULT1;
double resI1[]=IRESULT1;
double resR2[]=RRESULT2;
double resI2[]=IRESULT2;
double resR3[]=RRESULT3;
double resI3[]=IRESULT3;
double resR4[]=RRESULT4;
double resI4[]=IRESULT4;
double resR6[]=RRESULT6;
double resI6[]=IRESULT6;
double resR9[]=RRESULT9;
double resI9[]=IRESULT9;
doubleComplex *in1, *in2, *in3, *in4, *in6, *in9, out1[12], out2[12], out3[12], out4[12], out6[12], out9[12];
in1=(doubleComplex*)malloc((unsigned int)12*sizeof(doubleComplex));
in2=(doubleComplex*)malloc((unsigned int)12*sizeof(doubleComplex));
in3=(doubleComplex*)malloc((unsigned int)12*sizeof(doubleComplex));
in4=(doubleComplex*)malloc((unsigned int)12*sizeof(doubleComplex));
in6=(doubleComplex*)malloc((unsigned int)12*sizeof(doubleComplex));
in9=(doubleComplex*)malloc((unsigned int)9*sizeof(doubleComplex));
for (i=0;i<12;i++){
in1[i]=DoubleComplex(inR1[i],0);
in2[i]=DoubleComplex(inR2[i],0);
in3[i]=DoubleComplex(inR3[i],0);
in4[i]=DoubleComplex(inR4[i],0);
in6[i]=DoubleComplex(inR6[i],0);
}
for (i=0;i<9;i++){
in9[i]=DoubleComplex(inR9[i],0);
}
/* !!!!!!!!!!!!!!!!!!!!!!!
for the imaginary part, the assert is out + res instead of out - res
cause I export the transposate of the result matrix and the transposate change the sign
of the imaginary part.
And instead of change all the define, I only change the sign of the assert.*/
printf(" >>> Matrice 1*12 <<< \n");
zfftma(in1, 1, 12, out1);
for (i=0;i<12;i++){
if (zreals(out1[i])>1e-16) assert( (fabs(zreals(out1[i])-resR1[i]) / fabs(zreals(out1[i]))) < 1e-13);
else assert(1);
if (zimags(out1[i])>1e-16) assert( (fabs(zimags(out1[i])+resI1[i]) / fabs(zimags(out1[i]))) < 1e-13);
else assert(1);
}
printf(" >>> Matrice 2*6 <<< \n");
zfftma(in2, 2, 6, out2);
for (i=0;i<12;i++){
printf("\t\n outR : %e \t result : %e \t assert: %e",zreals(out2[i]), resR2[i] ,(fabs(zreals(out2[i])-resR2[i]) / fabs(zreals(out2[i]))) );
printf("\t\n outI : %e \t result : %e \t assert: %e",zimags(out2[i]), resI2[i] ,(fabs(zimags(out2[i])-resI2[i]) / fabs(zimags(out2[i]))) );
if (zreals(out2[i])>1e-16) assert( (fabs(zreals(out2[i])-resR2[i]) / fabs(zreals(out2[i]))) < 1e-13);
else assert(1);
if (zimags(out2[i])>2e-16) assert( (fabs(zimags(out2[i])+resI2[i]) / fabs(zimags(out2[i]))) < 1e-13 );
else assert(1);
}
printf(" >>> Matrice 3*4 <<< \n");
zfftma(in3, 3, 4, out3);
for (i=0;i<12;i++){
if (zreals(out3[i])>1e-16) assert( (fabs(zreals(out3[i])-resR3[i]) / fabs(zreals(out3[i]))) < 1e-13);
else assert(1);
if (zimags(out3[i])>1e-16) assert( (fabs(zimags(out3[i])+resI3[i]) / fabs(zimags(out3[i]))) < 1e-13);
else assert(1);
}
printf(" >>> Matrice 4*3 <<< \n");
zfftma(in4, 4, 3, out4);
for (i=0;i<12;i++){
if (zreals(out4[i])>1e-16) assert( (fabs(zreals(out4[i])-resR4[i]) / fabs(zreals(out4[i]))) < 1e-13);
else assert(1);
if (zimags(out4[i])>1e-16) assert( (fabs(zimags(out4[i])+resI4[i]) / fabs(zimags(out4[i]))) < 1e-13);
else assert(1);
}
printf(" >>> Matrice 6*2 <<< \n");
zfftma(in6, 6, 2, out6);
for (i=0;i<12;i++){
if (zreals(out6[i])>1e-16) assert( (fabs(zreals(out6[i])-resR6[i]) / fabs(zreals(out6[i]))) < 1e-13);
else assert(1);
if (zimags(out6[i])>1e-16) assert( (fabs(zimags(out6[i])+resI6[i]) / fabs(zimags(out6[i]))) < 1e-13);
else assert(1);
}
printf(" >>> Matrice 3*3 <<< \n");
zfftma(in9, 3, 3, out9);
for (i=0;i<9;i++){
if (zreals(out9[i])>1e-16) assert( (fabs(zreals(out9[i])-resR9[i]) / fabs(zreals(out9[i]))) < 1e-13);
else assert(1);
if (zimags(out9[i])>1e-16) assert( (fabs(zimags(out9[i])-resI9[i]) / fabs(zimags(out9[i]))) < 1e-13);
else assert(1);
}
}
static int testFft(void){
dfftmaTest();
zfftmaTest();
return 0;
}
int main(void) {
printf(">>> Fft Matrices Double Tests <<<\n");
assert(testFft() == 0);
return 0;
}
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