1/* Test file for mpfr_rec_sqrt.
2
3Copyright 2008, 2009, 2010, 2011 Free Software Foundation, Inc.
4Contributed by the Arenaire and Cacao projects, INRIA.
5
6This file is part of the GNU MPFR Library.
7
8The GNU MPFR Library is free software; you can redistribute it and/or modify
9it under the terms of the GNU Lesser General Public License as published by
10the Free Software Foundation; either version 3 of the License, or (at your
11option) any later version.
12
13The GNU MPFR Library is distributed in the hope that it will be useful, but
14WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
15or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU Lesser General Public
16License for more details.
17
18You should have received a copy of the GNU Lesser General Public License
19along with the GNU MPFR Library; see the file COPYING.LESSER.  If not, see
20http://www.gnu.org/licenses/ or write to the Free Software Foundation, Inc.,
2151 Franklin St, Fifth Floor, Boston, MA 02110-1301, USA. */
22
23#include <stdio.h>
24#include <stdlib.h>
25
26#include "mpfr-test.h"
27
28#if MPFR_VERSION >= MPFR_VERSION_NUM(2,4,0)
29
30#define TEST_FUNCTION mpfr_rec_sqrt
31#define TEST_RANDOM_POS 8 /* 8/512 = 1/64 of the tested numbers are negative */
32#include "tgeneric.c"
33
34static void
35special (void)
36{
37  mpfr_t x, y;
38  int inex;
39
40  mpfr_init (x);
41  mpfr_init (y);
42
43  /* rec_sqrt(NaN) = NaN */
44  mpfr_set_nan (x);
45  inex = mpfr_rec_sqrt (x, x, MPFR_RNDN);
46  MPFR_ASSERTN(mpfr_nan_p (x) && inex == 0);
47
48  /* rec_sqrt(+Inf) = +0 */
49  mpfr_set_inf (x, 1);
50  inex = mpfr_rec_sqrt (x, x, MPFR_RNDN);
51  MPFR_ASSERTN(mpfr_zero_p (x) && MPFR_IS_POS(x) && inex == 0);
52
53  /* rec_sqrt(-Inf) = NaN */
54  mpfr_set_inf (x, -1);
55  inex = mpfr_rec_sqrt (x, x, MPFR_RNDN);
56  MPFR_ASSERTN(mpfr_nan_p (x) && inex == 0);
57
58  /* rec_sqrt(+0) = +Inf */
59  mpfr_set_ui (x, 0, MPFR_RNDN);
60  inex = mpfr_rec_sqrt (x, x, MPFR_RNDN);
61  MPFR_ASSERTN(mpfr_inf_p (x) && MPFR_IS_POS(x) && inex == 0);
62
63  /* rec_sqrt(-0) = +Inf */
64  mpfr_set_ui (x, 0, MPFR_RNDN);
65  mpfr_neg (x, x, MPFR_RNDN);
66  inex = mpfr_rec_sqrt (x, x, MPFR_RNDN);
67  MPFR_ASSERTN(mpfr_inf_p (x) && MPFR_IS_POS(x) && inex == 0);
68
69  /* rec_sqrt(-1) = NaN */
70  mpfr_set_si (x, -1, MPFR_RNDN);
71  inex = mpfr_rec_sqrt (x, x, MPFR_RNDN);
72  MPFR_ASSERTN(mpfr_nan_p (x) && inex == 0);
73
74  /* rec_sqrt(1) = 1 */
75  mpfr_set_ui (x, 1, MPFR_RNDN);
76  inex = mpfr_rec_sqrt (x, x, MPFR_RNDN);
77  MPFR_ASSERTN((mpfr_cmp_ui (x, 1) == 0) && (inex == 0));
78
79  mpfr_set_prec (x, 23);
80  mpfr_set_prec (y, 33);
81  mpfr_set_str_binary (x, "1.0001110110101001010100e-1");
82  inex = mpfr_rec_sqrt (y, x, MPFR_RNDU);
83  mpfr_set_prec (x, 33);
84  mpfr_set_str_binary (x, "1.01010110101110100100100101011");
85  MPFR_ASSERTN (inex > 0 && mpfr_cmp (x, y) == 0);
86
87  mpfr_clear (x);
88  mpfr_clear (y);
89}
90
91/* Worst case incorrectly rounded in r5573, found with the bad_cases test */
92static void
93bad_case1 (void)
94{
95  mpfr_t x, y, z;
96
97  mpfr_init2 (x, 72);
98  mpfr_inits2 (6, y, z, (mpfr_ptr) 0);
99  mpfr_set_str (x, "1.08310518720928b30e@-120", 16, MPFR_RNDN);
100  mpfr_set_str (z, "f.8@59", 16, MPFR_RNDN);
101  /* z = rec_sqrt(x) rounded on 6 bits toward 0, the exact value
102     being ~= f.bffffffffffffffffa11@59. */
103  mpfr_rec_sqrt (y, x, MPFR_RNDZ);
104  if (mpfr_cmp0 (y, z) != 0)
105    {
106      printf ("Error in bad_case1\nexpected ");
107      mpfr_out_str (stdout, 16, 0, z, MPFR_RNDN);
108      printf ("\ngot      ");
109      mpfr_out_str (stdout, 16, 0, y, MPFR_RNDN);
110      printf ("\n");
111      exit (1);
112    }
113  mpfr_clears (x, y, z, (mpfr_ptr) 0);
114}
115
116static int
117pm2 (mpfr_ptr y, mpfr_srcptr x, mpfr_rnd_t rnd_mode)
118{
119  return mpfr_pow_si (y, x, -2, rnd_mode);
120}
121
122int
123main (void)
124{
125  tests_start_mpfr ();
126
127  special ();
128  bad_case1 ();
129  test_generic (2, 300, 15);
130
131  data_check ("data/rec_sqrt", mpfr_rec_sqrt, "mpfr_rec_sqrt");
132  bad_cases (mpfr_rec_sqrt, pm2, "mpfr_rec_sqrt", 8, -256, 255, 4, 128,
133             800, 50);
134
135  tests_end_mpfr ();
136  return 0;
137}
138
139#else  /* MPFR_VERSION */
140
141int
142main (void)
143{
144  printf ("Warning! Test disabled for this MPFR version.\n");
145  return 0;
146}
147
148#endif  /* MPFR_VERSION */
149