summaryrefslogtreecommitdiff
path: root/tests/tsqr.c
blob: 6d8a84df0e7206c003d9d382d1f6e328bae14574 (plain)
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
/* Test file for mpfr_sqr.

Copyright 2004 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., 59 Temple Place - Suite 330, Boston,
MA 02111-1307, 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 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;
  mp_rnd_t 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, r);
            inexact2 = mpfr_sqr (z, x, r);
            if (mpfr_cmp(y, z))
              error1 (r,p,x,y,z);
            if (inexact1 != inexact2)
              error2 (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);
}