1/* Test file for mpfr_sqr.
2
3Copyright 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011, 2012, 2013 Free Software Foundation, Inc.
4Contributed by the AriC and Caramel 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#define TEST_FUNCTION mpfr_sqr
29#include "tgeneric.c"
30
31static int
32inexact_sign (int x)
33{
34  return (x < 0) ? -1 : (x > 0);
35}
36
37static void
38error1 (mpfr_rnd_t rnd, mpfr_prec_t prec,
39        mpfr_t in, mpfr_t outmul, mpfr_t outsqr)
40{
41  printf("ERROR: for %s and prec=%lu\nINPUT=", mpfr_print_rnd_mode(rnd),
42         (unsigned long) prec);
43  mpfr_dump(in);
44  printf("OutputMul="); mpfr_dump(outmul);
45  printf("OutputSqr="); mpfr_dump(outsqr);
46  exit(1);
47}
48
49static void
50error2 (mpfr_rnd_t rnd, mpfr_prec_t prec, mpfr_t in, mpfr_t out,
51        int inexactmul, int inexactsqr)
52{
53  printf("ERROR: for %s and prec=%lu\nINPUT=", mpfr_print_rnd_mode(rnd),
54         (unsigned long) prec);
55  mpfr_dump(in);
56  printf("Output="); mpfr_dump(out);
57  printf("InexactMul= %d InexactSqr= %d\n", inexactmul, inexactsqr);
58  exit(1);
59}
60
61static void
62check_random (mpfr_prec_t p)
63{
64  mpfr_t x,y,z;
65  int r;
66  int i, inexact1, inexact2;
67
68  mpfr_inits2 (p, x, y, z, (mpfr_ptr) 0);
69  for(i = 0 ; i < 500 ; i++)
70    {
71      mpfr_urandomb (x, RANDS);
72      if (MPFR_IS_PURE_FP(x))
73        for (r = 0 ; r < MPFR_RND_MAX ; r++)
74          {
75            inexact1 = mpfr_mul (y, x, x, (mpfr_rnd_t) r);
76            inexact2 = mpfr_sqr (z, x, (mpfr_rnd_t) r);
77            if (mpfr_cmp (y, z))
78              error1 ((mpfr_rnd_t) r,p,x,y,z);
79            if (inexact_sign (inexact1) != inexact_sign (inexact2))
80              error2 ((mpfr_rnd_t) r,p,x,y,inexact1,inexact2);
81          }
82    }
83  mpfr_clears (x, y, z, (mpfr_ptr) 0);
84}
85
86static void
87check_special (void)
88{
89  mpfr_t x, y;
90  mpfr_exp_t emin;
91
92  mpfr_init (x);
93  mpfr_init (y);
94
95  mpfr_set_nan (x);
96  mpfr_sqr (y, x, MPFR_RNDN);
97  MPFR_ASSERTN (mpfr_nan_p (y));
98
99  mpfr_set_inf (x, 1);
100  mpfr_sqr (y, x, MPFR_RNDN);
101  MPFR_ASSERTN (mpfr_inf_p (y) && mpfr_sgn (y) > 0);
102
103  mpfr_set_inf (x, -1);
104  mpfr_sqr (y, x, MPFR_RNDN);
105  MPFR_ASSERTN (mpfr_inf_p (y) && mpfr_sgn (y) > 0);
106
107  mpfr_set_ui (x, 0, MPFR_RNDN);
108  mpfr_sqr (y, x, MPFR_RNDN);
109  MPFR_ASSERTN (mpfr_zero_p (y));
110
111  emin = mpfr_get_emin ();
112  mpfr_set_emin (0);
113  mpfr_set_ui (x, 1, MPFR_RNDN);
114  mpfr_div_2ui (x, x, 1, MPFR_RNDN);
115  MPFR_ASSERTN (!mpfr_zero_p (x));
116  mpfr_sqr (y, x, MPFR_RNDN);
117  MPFR_ASSERTN (mpfr_zero_p (y));
118  mpfr_set_emin (emin);
119
120  mpfr_clear (y);
121  mpfr_clear (x);
122}
123
124/* Test of a bug seen with GCC 4.5.2 and GMP 5.0.1 on m68k (m68000 target).
125     https://sympa.inria.fr/sympa/arc/mpfr/2011-05/msg00003.html
126     https://sympa.inria.fr/sympa/arc/mpfr/2011-05/msg00041.html
127*/
128static void
129check_mpn_sqr (void)
130{
131#if GMP_NUMB_BITS == 32 && __GNU_MP_VERSION >= 5
132  /* Note: since we test a low-level bug, src is initialized
133     without using a GMP function, just in case. */
134  mp_limb_t src[5] =
135    { 0x90000000, 0xbaa55f4f, 0x2cbec4d9, 0xfcef3242, 0xda827999 };
136  mp_limb_t exd[10] =
137    { 0x00000000, 0x31000000, 0xbd4bc59a, 0x41fbe2b5, 0x33471e7e,
138      0x90e826a7, 0xbaa55f4f, 0x2cbec4d9, 0xfcef3242, 0xba827999 };
139  mp_limb_t dst[10];
140  int i;
141
142  mpn_sqr (dst, src, 5);  /* new in GMP 5 */
143  for (i = 0; i < 10; i++)
144    {
145      if (dst[i] != exd[i])
146        {
147          printf ("Error in check_mpn_sqr\n");
148          printf ("exd[%d] = 0x%08lx\n", i, (unsigned long) exd[i]);
149          printf ("dst[%d] = 0x%08lx\n", i, (unsigned long) dst[i]);
150          printf ("Note: This is not a bug in MPFR, but a bug in"
151                  " either GMP or, more\nprobably, in the compiler."
152                  " It may cause other tests to fail.\n");
153          exit (1);
154        }
155    }
156#endif
157}
158
159int
160main (void)
161{
162  mpfr_prec_t p;
163
164  tests_start_mpfr ();
165
166  check_mpn_sqr ();
167
168  check_special ();
169  for (p = 2; p < 200; p++)
170    check_random (p);
171
172  test_generic (2, 200, 15);
173  data_check ("data/sqr", mpfr_sqr, "mpfr_sqr");
174  bad_cases (mpfr_sqr, mpfr_sqrt, "mpfr_sqr", 8, -256, 255, 4, 128, 800, 50);
175
176  tests_end_mpfr ();
177  return 0;
178}
179