1/* tsqr -- test file for mpc_sqr.
2
3Copyright (C) 2002, 2005, 2008, 2010, 2011 INRIA
4
5This file is part of GNU MPC.
6
7GNU MPC is free software; you can redistribute it and/or modify it under
8the terms of the GNU Lesser General Public License as published by the
9Free Software Foundation; either version 3 of the License, or (at your
10option) any later version.
11
12GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY
13WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
14FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for
15more details.
16
17You should have received a copy of the GNU Lesser General Public License
18along with this program. If not, see http://www.gnu.org/licenses/ .
19*/
20
21#include <stdlib.h>
22#include "mpc-tests.h"
23
24static void
25cmpsqr (mpc_srcptr x, mpc_rnd_t rnd)
26   /* computes the square of x with the specific function or by simple     */
27   /* multiplication using the rounding mode rnd and compares the results  */
28   /* and return values.                                                   */
29   /* In our current test suite, the real and imaginary parts of x have    */
30   /* the same precision, and we use this precision also for the result.   */
31   /* Furthermore, we check whether computing the square in the same       */
32   /* place yields the same result.                                        */
33   /* We also compute the result with four times the precision and check   */
34   /* whether the rounding is correct. Error reports in this part of the   */
35   /* algorithm might still be wrong, though, since there are two          */
36   /* consecutive roundings.                                               */
37{
38  mpc_t z, t, u;
39  int   inexact_z, inexact_t;
40
41  mpc_init2 (z, MPC_MAX_PREC (x));
42  mpc_init2 (t, MPC_MAX_PREC (x));
43  mpc_init2 (u, 4 * MPC_MAX_PREC (x));
44
45  inexact_z = mpc_sqr (z, x, rnd);
46  inexact_t = mpc_mul (t, x, x, rnd);
47
48  if (mpc_cmp (z, t))
49    {
50      fprintf (stderr, "sqr and mul differ for rnd=(%s,%s) \nx=",
51               mpfr_print_rnd_mode(MPC_RND_RE(rnd)),
52               mpfr_print_rnd_mode(MPC_RND_IM(rnd)));
53      mpc_out_str (stderr, 2, 0, x, MPC_RNDNN);
54      fprintf (stderr, "\nmpc_sqr gives ");
55      mpc_out_str (stderr, 2, 0, z, MPC_RNDNN);
56      fprintf (stderr, "\nmpc_mul gives ");
57      mpc_out_str (stderr, 2, 0, t, MPC_RNDNN);
58      fprintf (stderr, "\n");
59      exit (1);
60    }
61  if (inexact_z != inexact_t)
62    {
63      fprintf (stderr, "The return values of sqr and mul differ for rnd=(%s,%s) \nx=  ",
64               mpfr_print_rnd_mode(MPC_RND_RE(rnd)),
65               mpfr_print_rnd_mode(MPC_RND_IM(rnd)));
66      mpc_out_str (stderr, 2, 0, x, MPC_RNDNN);
67      fprintf (stderr, "\nx^2=");
68      mpc_out_str (stderr, 2, 0, z, MPC_RNDNN);
69      fprintf (stderr, "\nmpc_sqr gives %i", inexact_z);
70      fprintf (stderr, "\nmpc_mul gives %i", inexact_t);
71      fprintf (stderr, "\n");
72      exit (1);
73    }
74
75  mpc_set (t, x, MPC_RNDNN);
76  inexact_t = mpc_sqr (t, t, rnd);
77  if (mpc_cmp (z, t))
78    {
79      fprintf (stderr, "sqr and sqr in place differ for rnd=(%s,%s) \nx=",
80               mpfr_print_rnd_mode(MPC_RND_RE(rnd)),
81               mpfr_print_rnd_mode(MPC_RND_IM(rnd)));
82      mpc_out_str (stderr, 2, 0, x, MPC_RNDNN);
83      fprintf (stderr, "\nmpc_sqr          gives ");
84      mpc_out_str (stderr, 2, 0, z, MPC_RNDNN);
85      fprintf (stderr, "\nmpc_sqr in place gives ");
86      mpc_out_str (stderr, 2, 0, t, MPC_RNDNN);
87      fprintf (stderr, "\n");
88      exit (1);
89    }
90  if (inexact_z != inexact_t)
91    {
92      fprintf (stderr, "The return values of sqr and sqr in place differ for rnd=(%s,%s) \nx=  ",
93               mpfr_print_rnd_mode(MPC_RND_RE(rnd)),
94               mpfr_print_rnd_mode(MPC_RND_IM(rnd)));
95      mpc_out_str (stderr, 2, 0, x, MPC_RNDNN);
96      fprintf (stderr, "\nx^2=");
97      mpc_out_str (stderr, 2, 0, z, MPC_RNDNN);
98      fprintf (stderr, "\nmpc_sqr          gives %i", inexact_z);
99      fprintf (stderr, "\nmpc_sqr in place gives %i", inexact_t);
100      fprintf (stderr, "\n");
101      exit (1);
102    }
103
104  mpc_sqr (u, x, rnd);
105  mpc_set (t, u, rnd);
106  if (mpc_cmp (z, t))
107    {
108      fprintf (stderr, "rounding in sqr might be incorrect for rnd=(%s,%s) \nx=",
109               mpfr_print_rnd_mode(MPC_RND_RE(rnd)),
110               mpfr_print_rnd_mode(MPC_RND_IM(rnd)));
111      mpc_out_str (stderr, 2, 0, x, MPC_RNDNN);
112      fprintf (stderr, "\nmpc_sqr                     gives ");
113      mpc_out_str (stderr, 2, 0, z, MPC_RNDNN);
114      fprintf (stderr, "\nmpc_sqr quadruple precision gives ");
115      mpc_out_str (stderr, 2, 0, u, MPC_RNDNN);
116      fprintf (stderr, "\nand is rounded to                 ");
117      mpc_out_str (stderr, 2, 0, t, MPC_RNDNN);
118      fprintf (stderr, "\n");
119      exit (1);
120    }
121
122  mpc_clear (z);
123  mpc_clear (t);
124  mpc_clear (u);
125}
126
127
128static void
129testsqr (long a, long b, mpfr_prec_t prec, mpc_rnd_t rnd)
130{
131  mpc_t x;
132
133  mpc_init2 (x, prec);
134
135  mpc_set_si_si (x, a, b, rnd);
136
137  cmpsqr (x, rnd);
138
139  mpc_clear (x);
140}
141
142
143static void
144reuse_bug (void)
145{
146  mpc_t z1;
147
148  /* reuse bug found by Paul Zimmermann 20081021 */
149  mpc_init2 (z1, 2);
150  /* RE (z1^2) overflows, IM(z^2) = -0 */
151  mpfr_set_str (mpc_realref (z1), "0.11", 2, GMP_RNDN);
152  mpfr_mul_2si (mpc_realref (z1), mpc_realref (z1), mpfr_get_emax (), GMP_RNDN);
153  mpfr_set_ui (mpc_imagref (z1), 0, GMP_RNDN);
154  mpc_conj (z1, z1, MPC_RNDNN);
155  mpc_sqr (z1, z1, MPC_RNDNN);
156  if (!mpfr_inf_p (mpc_realref (z1)) || mpfr_signbit (mpc_realref (z1))
157      ||!mpfr_zero_p (mpc_imagref (z1)) || !mpfr_signbit (mpc_imagref (z1)))
158    {
159      printf ("Error: Regression, bug 20081021 reproduced\n");
160      MPC_OUT (z1);
161      exit (1);
162    }
163
164  mpc_clear (z1);
165}
166
167int
168main (void)
169{
170  DECL_FUNC (CC, f, mpc_sqr);
171  test_start ();
172
173  testsqr (247, -65, 8, 24);
174  testsqr (5, -896, 3, 2);
175  testsqr (-3, -512, 2, 16);
176  testsqr (266013312, 121990769, 27, 0);
177  testsqr (170, 9, 8, 0);
178  testsqr (768, 85, 8, 16);
179  testsqr (145, 1816, 8, 24);
180  testsqr (0, 1816, 8, 24);
181  testsqr (145, 0, 8, 24);
182
183  data_check (f, "sqr.dat");
184  tgeneric (f, 2, 1024, 1, 0);
185
186  reuse_bug ();
187
188  test_end ();
189
190  return 0;
191}
192