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
|
/*=============================================================================
This file is part of FLINT.
FLINT 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.
FLINT 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 FLINT; if not, write to the Free Software
Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
=============================================================================*/
/******************************************************************************
Copyright (C) 2011 Fredrik Johansson
******************************************************************************/
#include <stdio.h>
#include <stdlib.h>
#include <gmp.h>
#include "flint.h"
#include "fmpz.h"
#include "fmpz_vec.h"
#include "fmpz_mat.h"
#include "ulong_extras.h"
int
main(void)
{
slong i;
FLINT_TEST_INIT(state);
flint_printf("trace....");
fflush(stdout);
/* Test trace(AB) = trace(BA) */
for (i = 0; i < 1000 * flint_test_multiplier(); i++)
{
fmpz_mat_t A, B, AB, BA;
fmpz_t trab, trba;
slong m, n;
m = n_randint(state, 10);
n = n_randint(state, 10);
fmpz_mat_init(A, m, n);
fmpz_mat_init(B, n, m);
fmpz_mat_init(AB, m, m);
fmpz_mat_init(BA, n, n);
fmpz_init(trab);
fmpz_init(trba);
fmpz_mat_randtest(A, state, 1 + n_randint(state, 100));
fmpz_mat_randtest(B, state, 1 + n_randint(state, 100));
fmpz_mat_mul(AB, A, B);
fmpz_mat_mul(BA, B, A);
fmpz_mat_trace(trab, AB);
fmpz_mat_trace(trba, BA);
if (!fmpz_equal(trab, trba))
{
flint_printf("FAIL:\n");
fmpz_mat_print_pretty(A), flint_printf("\n");
fmpz_mat_print_pretty(B), flint_printf("\n");
fmpz_mat_print_pretty(AB), flint_printf("\n");
fmpz_mat_print_pretty(BA), flint_printf("\n");
flint_printf("tr(AB): "), fmpz_print(trab), flint_printf("\n");
flint_printf("tr(BA): "), fmpz_print(trba), flint_printf("\n");
abort();
}
fmpz_mat_clear(A);
fmpz_mat_clear(B);
fmpz_mat_clear(AB);
fmpz_mat_clear(BA);
fmpz_clear(trab);
fmpz_clear(trba);
}
FLINT_TEST_CLEANUP(state);
flint_printf("PASS\n");
return 0;
}
|
