1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
|
/*
* 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 <math.h>
#include <stdlib.h>
#include <assert.h>
#include <stdio.h>
#include "chol.h"
/* FIXME : assert à 1e-14 pour une valeur d'entrée de 0.003... */
static void dcholsTest(void){
double in=4;
double out;
printf("\n >>> DCholS <<<\n");
out=dchols(in);
assert( (fabs(out-2) / fabs(out)) <1e-16);
}
static void dcholaTest(void){
/* in2 non viable car non définie positive, ne fonctionne pas dans Scilab */
double in2[49]={0.2113249,0.7560439,0.0002211,0.3303271, 0.6653811,0.6283918,0.8497452 ,\
0.6857310,0.8782165,0.0683740,0.5608486,0.6623569,0.7263507,0.1985144 ,\
0.5442573, 0.2320748 , 0.2312237, 0.2164633, 0.8833888, 0.6525135, 0.3076091 ,\
0.9329616, 0.2146008 , 0.312642 , 0.3616361 , 0.2922267 , 0.5664249 , 0.4826472 ,\
0.3321719, 0.5935095, 0.5015342 , 0.4368588 , 0.2693125 , 0.6325745 , 0.4051954 ,\
0.9184708, 0.0437334, 0.4818509 , 0.2639556 , 0.4148104 , 0.2806498 , 0.1280058 ,\
0.7783129, 0.2119030, 0.1121355 ,0.6856896 ,0.1531217 ,0.6970851 ,0.8415518 };
double in[9]= {0.722725308034569025040,0.8976796260103583335877,0.2427821881137788295746,\
0.4337721113115549087524,0.9677053210325539112091,0.5068534435704350471497,\
0.523297640960663557053,0.5596947595477104187012,0.5617307000793516635895};
double res[9]={0.8501325238070644996213,0,0,\
0.5102405791617476982225,0.8410468907315681308390,0,\
0.6155483131232661886401,0.2920372626834314977451,0.3123222878611475739064};
double out[9]={0}, out2[49]={0};
int size=3;
int i;
printf("\n >>> DCholA <<<\n");
dchola(in2,7,out2);
for (i=0;i<49;i++)printf("out2[i]= %f\n",out2[i]);
dchola(in,size,out);
for (i=0;i<9;i++){
if (out[i]>1e-16) assert( (fabs(out[i]-res[i]) / fabs(out[i])) <3e-16);
}
}
static void zcholsTest(void){
doubleComplex in;
doubleComplex out;
in=DoubleComplex(3,1);
printf("\n >>> ZCholS <<<\n");
out=zchols(in);
printf("result : %f\n",zreals(out));
}
static void zcholaTest(void){
{
double inR[9]= {9,4,2,4,5,1,2,1,4};
double inI[9]= {1,-1,2,-1,-4,1,2,1,4};
double resR[9]= {3,0,0,1.333333333333333259319,\
1.763834207376393736766,0,0.6666666666666666296592,\
0.1889822365046136265487,1.7525491637693282331867};
double resI[9]= {0,0,0,- 0.3333333333333333148296,\
0,0,0.6666666666666666296592,- 0.0629940788348712366052,0};
doubleComplex *in, out[9];
int i;
printf("\n >>> ZCholA Test1 <<<\n");
in=DoubleComplexMatrix(inR,inI,9);
zchola(in,3,out);
for (i=0;i<9;i++) printf("indice : %d out : %f+%f *i\n",i,zreals(out[i]),zimags(out[i]));
for (i=0;i<9;i++){
if (zreals(out[i])>1e-16)
assert( (fabs(zreals(out[i])-resR[i]) / fabs(zreals(out[i]))) <3e-16);
if (zimags(out[i])>1e-16)
assert( (fabs(zimags(out[i])-resI[i]) / fabs(zimags(out[i]))) <3e-16);
}
free(in);
}
{
double inR[9]= {1.90865864663256012967,0.9230693052910239337905,1.7121882610664511670251,
0.9230693052910239337905,1.6572668858351540244200,0.8330281942607563605563,
1.7121882610664511670251,0.8330281942607563605563,1.6029756354175805910245};
double inI[9]= {0.0000000000000001301043,- 0.0097963300301950190230,- 0.2359069351837047023857,
0.0097963300301950190230,0,- 0.0909413002461877950644,
0.2359069351837046468745,0.0909413002461877811866,0.0000000000000000034694};
double resR[9]= {1.381542126260564051776 ,0,0,
0.6681441613289825776079,1.1003635695246982706408 ,0,
1.239331199911254843826,0.0034220321368758992685,0.1941496531533084546339 };
double resI[9]= {0,0,0,
0.0070908659562273776769,0,0,
0.1707562373231691910114,- 0.0130507331536391171789,0};
doubleComplex *in, out[9];
int i;
printf("\n >>> ZCholA Test2 <<<\n");
in=DoubleComplexMatrix(inR,inI,9);
zchola(in,3,out);
for (i=0;i<9;i++){
if (zreals(out[i])>1e-16)
assert( (fabs(zreals(out[i])-resR[i]) / fabs(zreals(out[i]))) <3e-15);
if (zimags(out[i])>1e-16)
assert( (fabs(zimags(out[i])-resI[i]) / fabs(zimags(out[i]))) <1e-15);
}
free(in);
}
}
static int cholTest(void){
printf("\n >>> Double Chol <<<\n");
dcholsTest();
dcholaTest();
zcholsTest();
zcholaTest();
return 0;
}
int main (void){
assert(cholTest()==0);
return 0;
}
|
