xref: /netbsd-src/external/lgpl3/mpfr/dist/tests/tget_ld_2exp.c (revision 92e958de60c71aa0f2452bd7074cbb006fe6546b)
1 /* Test mpfr_get_ld_2exp.
2 
3 Copyright 2006, 2007, 2008, 2009, 2010, 2011, 2012, 2013 Free Software Foundation, Inc.
4 Contributed by the AriC and Caramel projects, INRIA.
5 
6 This file is part of the GNU MPFR Library.
7 
8 The GNU MPFR Library is free software; you can redistribute it and/or modify
9 it under the terms of the GNU Lesser General Public License as published by
10 the Free Software Foundation; either version 3 of the License, or (at your
11 option) any later version.
12 
13 The GNU MPFR Library is distributed in the hope that it will be useful, but
14 WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
15 or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU Lesser General Public
16 License for more details.
17 
18 You should have received a copy of the GNU Lesser General Public License
19 along with the GNU MPFR Library; see the file COPYING.LESSER.  If not, see
20 http://www.gnu.org/licenses/ or write to the Free Software Foundation, Inc.,
21 51 Franklin St, Fifth Floor, Boston, MA 02110-1301, USA. */
22 
23 #include <stdio.h>
24 #include <stdlib.h>
25 #include <float.h>
26 
27 #include "mpfr-test.h"
28 
29 /* Check that hardware rounding doesn't make mpfr_get_ld_2exp return a value
30    outside its defined range. */
31 static void
32 check_round (void)
33 {
34   static const unsigned long data[] = {1, 32, 53, 54, 63, 64, 65, 127, 128, 256, 512 };
35   mpfr_t  f;
36   long double  got;
37   long    got_exp;
38   int     i, rnd_mode, neg;
39 
40   mpfr_init2 (f, 1024L);
41 
42   for (rnd_mode = 0; rnd_mode < MPFR_RND_MAX ; rnd_mode++)
43     {
44       for (i = 0; i < (int) numberof (data); i++)
45         {
46           mpfr_set_ui (f, 1L, MPFR_RNDZ);
47           mpfr_mul_2exp (f, f, data[i], MPFR_RNDZ);
48           mpfr_sub_ui (f, f, 1L, MPFR_RNDZ);
49 
50           for (neg = 0; neg <= 1; neg++)
51             {
52               got = mpfr_get_ld_2exp (&got_exp, f, (mpfr_rnd_t) rnd_mode);
53 
54               if (neg == 0
55                   ? (got < 0.5 || got >= 1.0)
56                   : (got <= -1.0 || got > -0.5))
57                 {
58                   printf  ("mpfr_get_ld_2exp wrong on 2**%lu-1\n", data[i]);
59                   printf  ("result out of range, expect 0.5 <= got < 1.0\n");
60                   printf  ("   rnd_mode = %d\n", rnd_mode);
61                   printf  ("   data[i]  = %lu\n", data[i]);
62                   printf  ("   f    ");
63                   mpfr_out_str (stdout, 2, 0, f, MPFR_RNDN);
64                   printf  ("\n");
65                   d_trace ("   got  ", got);
66                   printf  ("   got exp  %ld\n", got_exp);
67                   exit(1);
68                 }
69 
70               mpfr_neg (f, f, MPFR_RNDZ);
71             }
72         }
73     }
74 
75   mpfr_clear (f);
76 }
77 
78 
79 static void
80 check_inf_nan (void)
81 {
82   /* only if nans and infs are available */
83 #if _GMP_IEEE_FLOATS
84   mpfr_t  x;
85   double  d;
86   long    exp;
87 
88   mpfr_init2 (x, 123);
89 
90   mpfr_set_inf (x, 1);
91   d = (double) mpfr_get_ld_2exp (&exp, x, MPFR_RNDZ);
92   ASSERT_ALWAYS (d > 0);
93   ASSERT_ALWAYS (DOUBLE_ISINF (d));
94 
95   mpfr_set_inf (x, -1);
96   d = (double) mpfr_get_ld_2exp (&exp, x, MPFR_RNDZ);
97   ASSERT_ALWAYS (d < 0);
98   ASSERT_ALWAYS (DOUBLE_ISINF (d));
99 
100   mpfr_set_nan (x);
101   d = (double) mpfr_get_ld_2exp (&exp, x, MPFR_RNDZ);
102   ASSERT_ALWAYS (DOUBLE_ISNAN (d));
103 
104   mpfr_clear (x);
105 #endif
106 }
107 
108 static void
109 bug20090520 (void)
110 {
111   mpfr_t x;
112   long double d, e;
113   int i;
114 
115   mpfr_init (x);
116   mpfr_set_ui (x, 1, MPFR_RNDN);
117   d = 1.0;
118   mpfr_div_2exp (x, x, 16383, MPFR_RNDN);
119   for (i = 0; i < 16383; i++)
120     d *= 0.5;
121   e = mpfr_get_ld (x, MPFR_RNDN);
122   if (e != d)
123     {
124       printf ("mpfr_get_ld(1e-16383) failed\n");
125       printf ("expected %.20Le\n", d);
126       printf ("got      %.20Le\n", e);
127       exit (1);
128     }
129   mpfr_clear (x);
130 }
131 
132 int
133 main (void)
134 {
135   tests_start_mpfr ();
136   mpfr_test_init ();
137 
138   bug20090520 ();
139 
140   check_round ();
141   check_inf_nan ();
142 
143   tests_end_mpfr ();
144   return 0;
145 }
146