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
|
/* -*- mode: C -*- */
/*
IGraph library.
Copyright (C) 2010-2012 Gabor Csardi <csardi.gabor@gmail.com>
334 Harvard st, Cambridge MA, 02139 USA
This program is free software; you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation; either version 2 of the License, or
(at your option) any later version.
This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with this program; if not, write to the Free Software
Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA
02110-1301 USA
*/
#include <igraph.h>
#include <time.h>
#include <stdio.h>
#define DIM 10
void igraph_print_warning(const char *reason, const char *file,
int line, int igraph_errno) {
printf("Warning: %s\n", reason);
}
int main() {
igraph_matrix_t A, B, RHS;
int info;
int i;
/* Identity matrix, you have to start somewhere */
igraph_matrix_init(&A, DIM, DIM);
igraph_matrix_init(&B, DIM, 1);
for (i=0; i<DIM; i++) {
MATRIX(A, i, i) = 1.0;
MATRIX(B, i, 0) = i+1;
}
igraph_matrix_copy(&RHS, &B);
igraph_lapack_dgesv(&A, /*ipiv=*/ 0, &RHS, &info);
if (info != 0) { return 1;}
if (!igraph_matrix_all_e(&B, &RHS)) { return 2; }
igraph_matrix_destroy(&A);
igraph_matrix_destroy(&B);
igraph_matrix_destroy(&RHS);
/* Diagonal matrix */
igraph_matrix_init(&A, DIM, DIM);
igraph_matrix_init(&RHS, DIM, 1);
for (i=0; i<DIM; i++) {
MATRIX(A, i, i) = i+1;
MATRIX(RHS, i, 0) = i+1;
}
igraph_lapack_dgesv(&A, /*ipiv=*/ 0, &RHS, &info);
if (info != 0) { return 3;}
for (i=0; i<DIM; i++) {
if (MATRIX(RHS, i, 0) != 1.0) { return 4; }
}
igraph_matrix_destroy(&A);
igraph_matrix_destroy(&RHS);
/* A general matrix */
igraph_rng_seed(igraph_rng_default(), 42);
igraph_matrix_init(&A, DIM, DIM);
igraph_matrix_init(&B, DIM, 1);
igraph_matrix_init(&RHS, DIM, 1);
for (i=0; i<DIM; i++) {
int j;
MATRIX(B, i, 0) = igraph_rng_get_integer(igraph_rng_default(), 1, 10);
for (j=0; j<DIM; j++) {
MATRIX(A, i, j) = igraph_rng_get_integer(igraph_rng_default(), 1, 10);
}
}
igraph_blas_dgemv_array(/*transpose=*/ 0, /*alpha=*/ 1.0, /*a=*/ &A,
/*x-*/ &MATRIX(B, 0, 0), /*beta=*/ 0,
/*y=*/ &MATRIX(RHS, 0, 0));
igraph_lapack_dgesv(&A, /*ipiv=*/ 0, &RHS, &info);
if (info != 0) { return 5; }
for (i=0; i<DIM; i++) {
if (fabs(MATRIX(B, i, 0) - MATRIX(RHS, i, 0)) > 1e-13) { return 6; }
}
igraph_matrix_destroy(&A);
igraph_matrix_destroy(&B);
igraph_matrix_destroy(&RHS);
/* A singular matrix */
igraph_rng_seed(igraph_rng_default(), 42);
igraph_matrix_init(&A, DIM, DIM);
igraph_matrix_init(&B, DIM, 1);
igraph_matrix_init(&RHS, DIM, 1);
for (i=0; i<DIM; i++) {
int j;
MATRIX(B, i, 0) = igraph_rng_get_integer(igraph_rng_default(), 1, 10);
for (j=0; j<DIM; j++) {
MATRIX(A, i, j) = igraph_rng_get_integer(igraph_rng_default(), 1, 10);
}
}
for (i=0; i<DIM; i++) {
MATRIX(A, DIM-1, i) = MATRIX(A, 0, i);
}
igraph_blas_dgemv_array(/*transpose=*/ 0, /*alpha=*/ 1.0, /*a=*/ &A,
/*x-*/ &MATRIX(B, 0, 0), /*beta=*/ 0,
/*y=*/ &MATRIX(RHS, 0, 0));
igraph_set_warning_handler(igraph_print_warning);
igraph_lapack_dgesv(&A, /*ipiv=*/ 0, &RHS, &info);
if (info != 10) {
printf("LAPACK returned info = %d, should have been 10", info);
return 7;
}
igraph_matrix_destroy(&A);
igraph_matrix_destroy(&B);
igraph_matrix_destroy(&RHS);
return 0;
}
|
