1/* Test file for mpfr_mul_ui.
2
3Copyright 1999, 2000, 2001, 2002, 2003, 2004, 2005, 2006, 2007, 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
28static void
29check_inexact (mpfr_prec_t p)
30{
31  mpfr_t x, y, z;
32  unsigned long u;
33  mpfr_prec_t q;
34  int inexact, cmp;
35  int rnd;
36
37  mpfr_init2 (x, p);
38  mpfr_init (y);
39  mpfr_init2 (z, p + mp_bits_per_limb);
40  mpfr_urandomb (x, RANDS);
41  u = randlimb ();
42  if (mpfr_mul_ui (z, x, u, MPFR_RNDN))
43    {
44      printf ("Error: result should be exact\n");
45      exit (1);
46    }
47
48  for (q = 2; q <= p; q++)
49    for (rnd = 0; rnd < MPFR_RND_MAX; rnd++)
50      {
51        mpfr_set_prec (y, q);
52        inexact = mpfr_mul_ui (y, x, u, (mpfr_rnd_t) rnd);
53        cmp = mpfr_cmp (y, z);
54        if (((inexact == 0) && (cmp != 0)) ||
55            ((inexact < 0) && (cmp >= 0)) ||
56            ((inexact > 0) && (cmp <= 0)))
57          {
58            printf ("Wrong inexact flag for p=%u, q=%u, rnd=%s\n",
59                    (unsigned int) p, (unsigned int) q,
60                    mpfr_print_rnd_mode ((mpfr_rnd_t) rnd));
61            exit (1);
62          }
63      }
64
65  mpfr_set_prec (x, 2);
66  mpfr_set_ui (x, 1, MPFR_RNDN);
67  if (mpfr_mul_ui (x, x, 5, MPFR_RNDZ) == 0)
68    {
69      printf ("mul_ui(1, 5) cannot be exact with prec=2\n");
70      exit (1);
71    }
72
73  mpfr_clear (x);
74  mpfr_clear (y);
75  mpfr_clear (z);
76}
77
78#define TEST_FUNCTION mpfr_mul_ui
79#define INTEGER_TYPE  unsigned long
80#define RAND_FUNCTION(x) mpfr_random2(x, MPFR_LIMB_SIZE (x), 1, RANDS)
81#include "tgeneric_ui.c"
82
83int
84main (int argc, char *argv[])
85{
86  mpfr_t x, y;
87  unsigned int xprec, yprec, i;
88  mpfr_prec_t p;
89  mpfr_exp_t emax;
90
91  tests_start_mpfr ();
92
93  for (p=2; p<100; p++)
94    for (i=1; i<50; i++)
95      check_inexact (p);
96
97  mpfr_init2 (x, 53);
98  mpfr_init2 (y, 53);
99
100  /* checks that result is normalized */
101  mpfr_set_str (y, "6.93147180559945286227e-01", 10, MPFR_RNDZ);
102  mpfr_mul_ui (x, y, 1, MPFR_RNDZ);
103  if (MPFR_MANT(x)[MPFR_PREC(x)/mp_bits_per_limb] >> (mp_bits_per_limb-1) == 0)
104    {
105      printf ("Error in mpfr_mul_ui: result not normalized\n");
106      exit (1);
107    }
108  if (mpfr_cmp (x, y))
109    {
110      printf ("Error in mpfr_mul_ui: 1*y != y\n");
111      printf ("y=  "); mpfr_print_binary (y); puts ("");
112      printf ("1*y="); mpfr_print_binary (x); puts ("");
113      exit (1);
114    }
115
116  mpfr_set_inf (x, 1);
117  mpfr_mul_ui (x, x, 3, MPFR_RNDU);
118  if (!mpfr_inf_p (x) || (mpfr_sgn (x) <= 0))
119    {
120      printf ("Error in mpfr_mul_ui: +Inf*3 does not give +Inf\n");
121      exit (1);
122    }
123
124  mpfr_set_inf (x, -1);
125  mpfr_mul_ui (x, x, 3, MPFR_RNDU);
126  if (!mpfr_inf_p (x) || (mpfr_sgn (x) >= 0))
127    {
128      printf ("Error in mpfr_mul_ui: -Inf*3 does not give -Inf\n");
129      exit (1);
130    }
131
132  mpfr_set_nan (x);
133  mpfr_mul_ui (x, x, 3, MPFR_RNDU);
134  if (!mpfr_nan_p(x))
135    {
136      printf ("Error in mpfr_mul_ui: NaN*3 does not give NaN\n");
137      exit (1);
138    }
139
140  mpfr_set_inf (x, 1);
141  mpfr_mul_ui (x, x, 0, MPFR_RNDU);
142  MPFR_ASSERTN(mpfr_nan_p (x));
143
144  mpfr_set_ui (x, 1, MPFR_RNDU);
145  mpfr_mul_ui (x, x, 0, MPFR_RNDU);
146  MPFR_ASSERTN(mpfr_cmp_ui (x, 0) == 0 && MPFR_IS_POS(x));
147
148  emax = mpfr_get_emax ();
149  set_emax (0);
150  mpfr_set_str_binary (x, "0.1E0");
151  mpfr_mul_ui (x, x, 2, MPFR_RNDN);
152  MPFR_ASSERTN(mpfr_inf_p (x) && MPFR_IS_POS(x));
153  set_emax (emax);
154
155  mpfr_set_str (x, /*1.0/3.0*/
156                "0.333333333333333333333333333333333", 10, MPFR_RNDZ);
157  mpfr_mul_ui (x, x, 3, MPFR_RNDU);
158  if (mpfr_cmp_ui (x, 1))
159    {
160      printf ("Error in mpfr_mul_ui: U(Z(1/3)*3) does not give 1\n");
161      exit (1);
162    }
163
164  /* checks sign is correct */
165  mpfr_set_si (x, -2, MPFR_RNDZ);
166  mpfr_set_si (y, 3, MPFR_RNDZ);
167  mpfr_mul_ui(x, y, 4, MPFR_RNDZ);
168  if (mpfr_cmp_ui(x, 0) <= 0)
169    {
170      printf("Error in mpfr_mul_ui: 4*3.0 does not give a positive result:\n");
171      mpfr_print_binary(x); puts ("");
172      printf("mpfr_cmp_ui(x, 0) = %d\n", mpfr_cmp_ui(x, 0));
173      exit(1);
174    }
175
176  mpfr_set_prec (x, 9);
177  mpfr_set_prec (y, 9);
178  mpfr_set_str_binary (y, "0.100001111E9"); /* 271 */
179  mpfr_mul_ui (x, y, 1335, MPFR_RNDN);
180  mpfr_set_str_binary (y, "0.101100001E19"); /* 361472 */
181  if (mpfr_cmp (x, y))
182    {
183      printf ("Error in mul_ui for 1335*(0.100001111E9)\n");
184      printf ("got "); mpfr_print_binary (x); puts ("");
185      exit(1);
186    }
187
188  mpfr_set_prec(y, 100);
189  mpfr_set_prec(x, 100);
190  /* y = 1199781142214086656 */
191  mpfr_set_str_binary(y, "0.1000010100110011110101001011110010101111000100001E61");
192  mpfr_mul_ui(x, y, 121, MPFR_RNDD);
193  /* 121*y = 145173518207904485376, representable exactly */
194  mpfr_set_str_binary(y, "0.1111101111010101111111100011010010111010111110110011001E67");
195  if (mpfr_cmp(x, y))
196    {
197      printf("Error for 121*y: expected result is:\n");
198      mpfr_print_binary(y); puts ("");
199    }
200
201  mpfr_set_prec (x, 32);
202  mpfr_set_str_binary (x, "0.10000000000000000000000000000000E1");
203  mpfr_set_prec (y, 93);
204  mpfr_mul_ui (y, x, 1, MPFR_RNDN);
205
206  mpfr_set_prec (x, 287);
207  mpfr_set_str_binary (x, "0.1111E7");
208  mpfr_set_prec (y, 289);
209  mpfr_mul_ui (y, x, 6, MPFR_RNDN);
210  mpfr_set_str_binary (x, "0.101101E10");
211  if (mpfr_cmp (x, y))
212    {
213      printf ("Error for 6 * 120\n");
214      exit (1);
215    }
216
217  mpfr_set_prec (x, 68);
218  mpfr_set_prec (y, 64);
219  mpfr_set_str (x, "2143861251406875.0", 10, MPFR_RNDN);
220  mpfr_mul_ui (y, x, 23, MPFR_RNDN);
221  mpfr_set_str_binary (x, "10101111001011100001100110101111110001010010011001101101.0");
222  if (mpfr_cmp (x, y))
223    {
224      printf ("Error for 23 * 2143861251406875.0\n");
225      printf ("expected "); mpfr_print_binary (x); puts ("");
226      printf ("got      "); mpfr_print_binary (y); puts ("");
227      exit (1);
228    }
229
230
231  for (xprec = 53; xprec <= 128; xprec++)
232    {
233      mpfr_set_prec (x, xprec);
234      mpfr_set_str_binary (x, "0.1100100100001111110011111000000011011100001100110111E2");
235      for (yprec = 53; yprec <= 128; yprec++)
236        {
237          mpfr_set_prec (y, yprec);
238          mpfr_mul_ui (y, x, 1, MPFR_RNDN);
239          if (mpfr_cmp(x,y))
240            {
241              printf ("multiplication by 1.0 fails for xprec=%u, yprec=%u\n",
242                      xprec, yprec);
243              printf ("expected "); mpfr_print_binary (x); puts ("");
244              printf ("got      "); mpfr_print_binary (y); puts ("");
245              exit (1);
246            }
247        }
248    }
249
250  mpfr_set_prec (x, 128);
251  mpfr_set_ui (x, 17, MPFR_RNDN);
252  mpfr_mul_ui (x, x, ULONG_HIGHBIT, MPFR_RNDN);
253  mpfr_set_prec (y, 128);
254  mpfr_set_ui (y, ULONG_HIGHBIT, MPFR_RNDN);
255  mpfr_mul_ui (y, y, 17, MPFR_RNDN);
256  if (mpfr_cmp (x, y))
257    {
258      printf ("Error for 17 * ULONG_HIGHBIT\n");
259      exit (1);
260    }
261
262  /* Check regression */
263  mpfr_set_prec (x, 32);
264  mpfr_set_prec (y, 96);
265  mpfr_set_ui (x, 1742175942, MPFR_RNDN);
266  mpfr_mul_ui (y, x, 59, MPFR_RNDN);
267  if (mpfr_cmp_str (y, "0.10111111011101010101000110111101000100000000000000"
268                    "0000000000000000000000000000000000000000000000E37",
269                    2, MPFR_RNDN))
270    {
271      printf ("Regression tested failed for x=1742175942 * 59\n");
272      exit (1);
273    }
274
275  mpfr_clear(x);
276  mpfr_clear(y);
277
278  test_generic_ui (2, 500, 100);
279
280  tests_end_mpfr ();
281  return 0;
282}
283