summaryrefslogtreecommitdiff
path: root/tests/tui_pow.c
blob: 249a020e57fe8465bdc5f38b0bbb3349181dbe31 (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
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
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
/* Test file for mpfr_ui_pow.

Copyright 2001, 2002, 2003 Free Software Foundation.
Adapted from tarctan.c.

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 <limits.h>

#include "mpfr-test.h"

static void
test1 (void)
{
  mpfr_t x, y;

  mpfr_init2 (x, 32);
  mpfr_init2 (y, 65);

  mpfr_set_str_binary (x, "-0.101110001001011011011e-9");
  mpfr_ui_pow (y, 7, x, GMP_RNDN);

  mpfr_set_prec (x, 40);
  mpfr_set_str_binary (x, "-0.1100101100101111011001010010110011110110E-1");
  mpfr_set_prec (y, 74);
  mpfr_ui_pow (y, 8, x, GMP_RNDN);
  mpfr_set_prec (x, 74);
  mpfr_set_str_binary (x, "0.11100000010100111101000011111011011010011000011000101011010011010101000011E-1");
  if (mpfr_cmp (x, y))
    {
      printf ("Error for input of 40 bits, output of 74 bits\n");
      exit (1);
    }

  mpfr_clear (x);
  mpfr_clear (y);
}

static void
check1 (mpfr_ptr x, mp_prec_t prec, unsigned long nt, mp_rnd_t rnd)
{
  mpfr_t y, z, t;
  int inexact, compare, compare2;
  mp_prec_t yprec;
  mp_exp_t err;

  yprec = prec + 10;

  mpfr_init (y);
  mpfr_init (z);
  mpfr_init (t);
  mpfr_set_prec (y, yprec);
  mpfr_set_prec (z, prec);
  mpfr_set_prec (t, prec);

  compare = mpfr_ui_pow (y, nt, x, rnd);
  err = (rnd == GMP_RNDN) ? yprec + 1 : yprec;
  if (mpfr_can_round (y, err, rnd, rnd, prec))
    {
      mpfr_set (t, y, rnd);
      inexact = mpfr_ui_pow (z, nt, x, rnd);
      if (mpfr_cmp (t, z))
        {
          printf ("results differ for x=");
          mpfr_out_str (stdout, 2, prec, x, GMP_RNDN);
          printf (" n=%lu", nt);
          printf (" prec=%u rnd_mode=%s\n", (unsigned) prec,
                  mpfr_print_rnd_mode (rnd));
          printf ("got      ");
          mpfr_out_str (stdout, 2, prec, z, GMP_RNDN);
          puts ("");
          printf ("expected ");
          mpfr_out_str (stdout, 2, prec, t, GMP_RNDN);
          puts ("");
          printf ("approx  ");
          mpfr_print_binary (y);
          puts ("");
          exit (1);
        }
      compare2 = mpfr_cmp (t, y);
      /* if rounding to nearest, cannot know the sign of t - f(x)
         because of composed rounding: y = o(f(x)) and t = o(y) */
      if ((rnd != GMP_RNDN) && (compare * compare2 >= 0))
        compare = compare + compare2;
      else
        compare = inexact; /* cannot determine sign(t-f(x)) */
      if (((inexact == 0) && (compare != 0)) ||
          ((inexact > 0) && (compare <= 0)) ||
          ((inexact < 0) && (compare >= 0)))
        {
          printf ("Wrong inexact flag for rnd=%s: expected %d, got %d\n",
                  mpfr_print_rnd_mode (rnd), compare, inexact);
          printf ("x="); mpfr_print_binary (x); puts ("");
          printf ("y="); mpfr_print_binary (y); puts ("");
          printf ("t="); mpfr_print_binary (t); puts ("");
          exit (1);
        }
    }

  mpfr_clear (y);
  mpfr_clear (z);
  mpfr_clear (t);
}

int
main (int argc, char *argv[])
{
  mpfr_t x, y;
  unsigned long int n;

  tests_start_mpfr ();

  mpfr_init (x);
  mpfr_init (y);

  n = randlimb ();

  MPFR_SET_INF(x);
  mpfr_ui_pow (y, n, x, GMP_RNDN);
  if(!MPFR_IS_INF(y))
    {
      printf ("evaluation of function in INF does not return INF\n");
      exit (1);
    }

  MPFR_CHANGE_SIGN(x);
  mpfr_ui_pow (y, n, x, GMP_RNDN);
  if(!MPFR_IS_ZERO(y))
    {
      printf ("evaluation of function in -INF does not return 0");
      exit (1);
    }

  MPFR_SET_NAN(x);
  mpfr_ui_pow (y, n, x, GMP_RNDN);
  if(!MPFR_IS_NAN(y))
    {
      printf ("evaluation of function in NAN does not return NAN");
      exit (1);
    }

  test1 ();

  {
  mpfr_t z, t;
  mp_prec_t prec;
  mp_rnd_t rnd;
  unsigned int n;

  mp_prec_t p0=2, p1=100;
  unsigned int N=20;

  mpfr_init2 (z, 38);
  mpfr_init2 (t, 6);

  /* check exact power */
  mpfr_set_str_binary (t, "0.110000E5");
  mpfr_ui_pow (z, 3, t, GMP_RNDN);

  mpfr_set_prec (x, 2);
  mpfr_set_prec (y, 2);
  mpfr_set_str (x, "-0.5", 10, GMP_RNDZ);
  mpfr_ui_pow (y, 4, x, GMP_RNDD);
  if (mpfr_cmp_ui_2exp(y, 1, -1))
    {
      fprintf (stderr, "Error for 4^(-0.5), prec=2, GMP_RNDD\n");
      fprintf (stderr, "expected 0.5, got ");
      mpfr_out_str (stderr, 2, 0, y, GMP_RNDN);
      fprintf (stderr, "\n");
      exit (1);
    }

  /* problem found by Kevin on spe175.testdrive.compaq.com
     (03 Sep 2003) */
  mpfr_set_prec (x, 2);
  mpfr_set_prec (y, 2);
  mpfr_set_str (x, "0.5", 10, GMP_RNDN);
  mpfr_ui_pow (y, 398441521, x, GMP_RNDN);
  if (mpfr_cmp_ui_2exp(y, 1, 14))
    {
      fprintf (stderr, "Error for 398441521^(0.5), prec=2, GMP_RNDN\n");
      fprintf (stderr, "expected 1.0e14, got ");
      mpfr_out_str (stderr, 2, 0, y, GMP_RNDN);
      fprintf (stderr, "\n");
      exit (1);
    }

  mpfr_clear (z);
  mpfr_clear (t);

  mpfr_set_prec (x, 2);
  mpfr_set_str (x, "0.5", 10, GMP_RNDN);
  check1 (x, 2, 398441521, GMP_RNDN);  /* 398441521 = 19961^2 */

  /* generic test */
  for (prec = p0; prec <= p1; prec++)
    {
      mpfr_set_prec (x, prec);
      for (n=0; n<N; n++)
	{
          int nt;
          nt = randlimb () & INT_MAX;
	  mpfr_random (x);
	  rnd = randlimb () % 4;
          check1 (x, prec, nt, rnd);
	}
    }
  }

  mpfr_clear (x);
  mpfr_clear (y);

  tests_end_mpfr ();
  return 0;
}