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
|
/* Test file for mpfr_sqr.
Copyright 2004, 2005 Free Software Foundation.
This file is part of the MPFR Library.
The MPFR Library is free software; you can redistribute it and/or modify
it under the terms of the GNU Lesser General Public License as published by
the Free Software Foundation; either version 2.1 of the License, or (at your
option) any later version.
The MPFR Library 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 Lesser General Public
License for more details.
You should have received a copy of the GNU Lesser General Public License
along with the MPFR Library; see the file COPYING.LIB. If not, write to
the Free Software Foundation, Inc., 51 Franklin Place, Fifth Floor, Boston,
MA 02110-1301, USA. */
#include <stdio.h>
#include <stdlib.h>
#include "mpfr-test.h"
void check_special (void);
void check_random (mpfr_prec_t p);
int main(void)
{
mpfr_prec_t p;
tests_start_mpfr ();
check_special ();
for(p = 2 ; p < 200 ; p++)
check_random (p);
tests_end_mpfr ();
return 0;
}
static int
inexact_sign (int x)
{
return (x < 0) ? -1 : (x > 0);
}
static void
error1 (mp_rnd_t rnd, mpfr_prec_t prec,
mpfr_t in, mpfr_t outmul, mpfr_t outsqr)
{
printf("ERROR: for %s and prec=%lu\nINPUT=", mpfr_print_rnd_mode(rnd), prec);
mpfr_dump(in);
printf("OutputMul="); mpfr_dump(outmul);
printf("OutputSqr="); mpfr_dump(outsqr);
exit(1);
}
static void
error2 (mp_rnd_t rnd, mpfr_prec_t prec, mpfr_t in, mpfr_t out,
int inexactmul, int inexactsqr)
{
printf("ERROR: for %s and prec=%lu\nINPUT=", mpfr_print_rnd_mode(rnd), prec);
mpfr_dump(in);
printf("Output="); mpfr_dump(out);
printf("InexactMul= %d InexactSqr= %d\n", inexactmul, inexactsqr);
exit(1);
}
void check_random(mpfr_prec_t p)
{
mpfr_t x,y,z;
int r;
int i, inexact1, inexact2;
mpfr_inits2(p, x, y, z, NULL);
for(i = 0 ; i < 500 ; i++)
{
mpfr_random (x);
if (MPFR_IS_PURE_FP(x))
for (r = 0 ; r < GMP_RND_MAX ; r++)
{
inexact1 = mpfr_mul (y, x, x, (mp_rnd_t) r);
inexact2 = mpfr_sqr (z, x, (mp_rnd_t) r);
if (mpfr_cmp (y, z))
error1 ((mp_rnd_t) r,p,x,y,z);
if (inexact_sign (inexact1) != inexact_sign (inexact2))
error2 ((mp_rnd_t) r,p,x,y,inexact1,inexact2);
}
}
mpfr_clears(x,y,z,NULL);
}
void check_special(void)
{
mpfr_t x, y;
mp_exp_t emin;
mpfr_init (x);
mpfr_init (y);
mpfr_set_nan (x);
mpfr_sqr (y, x, GMP_RNDN);
MPFR_ASSERTN (mpfr_nan_p (y));
mpfr_set_inf (x, 1);
mpfr_sqr (y, x, GMP_RNDN);
MPFR_ASSERTN (mpfr_inf_p (y) && mpfr_sgn (y) > 0);
mpfr_set_inf (x, -1);
mpfr_sqr (y, x, GMP_RNDN);
MPFR_ASSERTN (mpfr_inf_p (y) && mpfr_sgn (y) > 0);
mpfr_set_ui (x, 0, GMP_RNDN);
mpfr_sqr (y, x, GMP_RNDN);
MPFR_ASSERTN (mpfr_zero_p (y));
emin = mpfr_get_emin ();
mpfr_set_emin (0);
mpfr_set_ui (x, 1, GMP_RNDN);
mpfr_div_2ui (x, x, 1, GMP_RNDN);
MPFR_ASSERTN (!mpfr_zero_p (x));
mpfr_sqr (y, x, GMP_RNDN);
MPFR_ASSERTN (mpfr_zero_p (y));
mpfr_set_emin (emin);
mpfr_clear (y);
mpfr_clear (x);
}
|
