1/* Test file for mpfr_agm.
2
3Copyright 1999, 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
28#define check(a,b,r) check4(a,b,r,0.0)
29
30static void
31check4 (const char *as, const char *bs, mpfr_rnd_t rnd_mode,
32        const char *res, int inex)
33{
34  mpfr_t ta, tb, tc, tres;
35  mpfr_exp_t emin, emax;
36  int i;
37
38  emin = mpfr_get_emin ();
39  emax = mpfr_get_emax ();
40
41  mpfr_inits2 (53, ta, tb, tc, tres, (mpfr_ptr) 0);
42
43  for (i = 0; i <= 2; i++)
44    {
45      unsigned int expflags, newflags;
46      int inex2;
47
48      mpfr_set_str1 (ta, as);
49      mpfr_set_str1 (tb, bs);
50      mpfr_set_str1 (tc, res);
51
52      if (i > 0)
53        {
54          mpfr_exp_t ea, eb, ec, e0;
55
56          set_emin (MPFR_EMIN_MIN);
57          set_emax (MPFR_EMAX_MAX);
58
59          ea = mpfr_get_exp (ta);
60          eb = mpfr_get_exp (tb);
61          ec = mpfr_get_exp (tc);
62
63          e0 = i == 1 ? __gmpfr_emin : __gmpfr_emax;
64          if ((i == 1 && ea < eb) || (i == 2 && ea > eb))
65            {
66              mpfr_set_exp (ta, e0);
67              mpfr_set_exp (tb, e0 + (eb - ea));
68              mpfr_set_exp (tc, e0 + (ec - ea));
69            }
70          else
71            {
72              mpfr_set_exp (ta, e0 + (ea - eb));
73              mpfr_set_exp (tb, e0);
74              mpfr_set_exp (tc, e0 + (ec - eb));
75            }
76        }
77
78      __gmpfr_flags = expflags =
79        (randlimb () & 1) ? MPFR_FLAGS_ALL ^ MPFR_FLAGS_ERANGE : 0;
80      inex2 = mpfr_agm (tres, ta, tb, rnd_mode);
81      newflags = __gmpfr_flags;
82      expflags |= MPFR_FLAGS_INEXACT;
83
84      if (SIGN (inex2) != inex || newflags != expflags ||
85          ! mpfr_equal_p (tres, tc))
86        {
87          printf ("mpfr_agm failed in rnd_mode=%s for\n",
88                  mpfr_print_rnd_mode (rnd_mode));
89          printf ("  a = ");
90          mpfr_out_str (stdout, 10, 0, ta, MPFR_RNDN);
91          printf ("\n");
92          printf ("  b = ");
93          mpfr_out_str (stdout, 10, 0, tb, MPFR_RNDN);
94          printf ("\n");
95          printf ("expected inex = %d, flags = %u,\n"
96                  "         ", inex, expflags);
97          mpfr_dump (tc);
98          printf ("got      inex = %d, flags = %u,\n"
99                  "         ", inex2, newflags);
100          mpfr_dump (tres);
101          exit (1);
102        }
103
104      set_emin (emin);
105      set_emax (emax);
106    }
107
108  mpfr_clears (ta, tb, tc, tres, (mpfr_ptr) 0);
109}
110
111static void
112check_large (void)
113{
114  mpfr_t a, b, agm;
115  int inex;
116
117  mpfr_init2 (a, 82);
118  mpfr_init2 (b, 82);
119  mpfr_init2 (agm, 82);
120
121  mpfr_set_ui (a, 1, MPFR_RNDN);
122  mpfr_set_str_binary (b, "0.1111101100001000000001011000110111101000001011111000100001000101010100011111110010E-39");
123  mpfr_agm (agm, a, b, MPFR_RNDN);
124  mpfr_set_str_binary (a, "0.1110001000111101101010101010101101001010001001001011100101111011110101111001111100E-4");
125  if (mpfr_cmp (agm, a))
126    {
127      printf ("mpfr_agm failed for precision 82\n");
128      exit (1);
129    }
130
131  /* problem found by Damien Fischer <damien@maths.usyd.edu.au> 4 Aug 2003:
132     produced a division by zero exception */
133  mpfr_set_prec (a, 268);
134  mpfr_set_prec (b, 268);
135  mpfr_set_prec (agm, 268);
136  mpfr_set_str (a, "703.93543315330225238487276503953366664991725089988315253092140138947103394917006", 10, MPFR_RNDN);
137  mpfr_set_str (b, "703.93543315330225238487279020523738740563816490895994499256063816906728642622316", 10, MPFR_RNDN);
138  mpfr_agm (agm, a, b, MPFR_RNDN);
139
140  mpfr_set_prec (a, 18);
141  mpfr_set_prec (b, 70);
142  mpfr_set_prec (agm, 67);
143  mpfr_set_str_binary (a, "0.111001111100101000e8");
144  mpfr_set_str_binary (b, "0.1101110111100100010100110000010111011011011100110100111001010100100001e10");
145  inex = mpfr_agm (agm, a, b, MPFR_RNDN);
146  mpfr_set_str_binary (b, "0.1111110010011101101100010101011011010010010000001010100011000110011e9");
147  if (mpfr_cmp (agm, b))
148    {
149      printf ("Error in mpfr_agm (1)\n");
150      exit (1);
151    }
152  if (inex >= 0)
153    {
154      printf ("Wrong flag for mpfr_agm (1)\n");
155      exit (1);
156    }
157
158  /* test worst case: 9 consecutive ones after the last bit */
159  mpfr_set_prec (a, 2);
160  mpfr_set_prec (b, 2);
161  mpfr_set_ui (a, 1, MPFR_RNDN);
162  mpfr_set_ui (b, 2, MPFR_RNDN);
163  mpfr_set_prec (agm, 904);
164  mpfr_agm (agm, a, b, MPFR_RNDZ);
165
166  mpfr_clear (a);
167  mpfr_clear (b);
168  mpfr_clear (agm);
169}
170
171static void
172check_nans (void)
173{
174  mpfr_t  x, y, m;
175
176  mpfr_init2 (x, 123L);
177  mpfr_init2 (y, 123L);
178  mpfr_init2 (m, 123L);
179
180  /* agm(1,nan) == nan */
181  mpfr_set_ui (x, 1L, MPFR_RNDN);
182  mpfr_set_nan (y);
183  mpfr_agm (m, x, y, MPFR_RNDN);
184  MPFR_ASSERTN (mpfr_nan_p (m));
185
186  /* agm(1,+inf) == +inf */
187  mpfr_set_ui (x, 1L, MPFR_RNDN);
188  mpfr_set_inf (y, 1);
189  mpfr_agm (m, x, y, MPFR_RNDN);
190  MPFR_ASSERTN (mpfr_inf_p (m));
191  MPFR_ASSERTN (mpfr_sgn (m) > 0);
192
193  /* agm(+inf,+inf) == +inf */
194  mpfr_set_inf (x, 1);
195  mpfr_set_inf (y, 1);
196  mpfr_agm (m, x, y, MPFR_RNDN);
197  MPFR_ASSERTN (mpfr_inf_p (m));
198  MPFR_ASSERTN (mpfr_sgn (m) > 0);
199
200  /* agm(-inf,+inf) == nan */
201  mpfr_set_inf (x, -1);
202  mpfr_set_inf (y, 1);
203  mpfr_agm (m, x, y, MPFR_RNDN);
204  MPFR_ASSERTN (mpfr_nan_p (m));
205
206  /* agm(+0,+inf) == nan */
207  mpfr_set_ui (x, 0, MPFR_RNDN);
208  mpfr_set_inf (y, 1);
209  mpfr_agm (m, x, y, MPFR_RNDN);
210  MPFR_ASSERTN (mpfr_nan_p (m));
211
212  /* agm(+0,1) == +0 */
213  mpfr_set_ui (x, 0, MPFR_RNDN);
214  mpfr_set_ui (y, 1, MPFR_RNDN);
215  mpfr_agm (m, x, y, MPFR_RNDN);
216  MPFR_ASSERTN (MPFR_IS_ZERO (m) && MPFR_IS_POS(m));
217
218  /* agm(-0,1) == +0 */
219  mpfr_set_ui (x, 0, MPFR_RNDN);
220  mpfr_neg (x, x, MPFR_RNDN);
221  mpfr_set_ui (y, 1, MPFR_RNDN);
222  mpfr_agm (m, x, y, MPFR_RNDN);
223  MPFR_ASSERTN (MPFR_IS_ZERO (m) && MPFR_IS_POS(m));
224
225  /* agm(-0,+0) == +0 */
226  mpfr_set_ui (x, 0, MPFR_RNDN);
227  mpfr_neg (x, x, MPFR_RNDN);
228  mpfr_set_ui (y, 0, MPFR_RNDN);
229  mpfr_agm (m, x, y, MPFR_RNDN);
230  MPFR_ASSERTN (MPFR_IS_ZERO (m) && MPFR_IS_POS(m));
231
232  /* agm(1,1) == 1 */
233  mpfr_set_ui (x, 1, MPFR_RNDN);
234  mpfr_set_ui (y, 1, MPFR_RNDN);
235  mpfr_agm (m, x, y, MPFR_RNDN);
236  MPFR_ASSERTN (mpfr_cmp_ui (m ,1) == 0);
237
238  /* agm(-1,-2) == NaN */
239  mpfr_set_si (x, -1, MPFR_RNDN);
240  mpfr_set_si (y, -2, MPFR_RNDN);
241  mpfr_agm (m, x, y, MPFR_RNDN);
242  MPFR_ASSERTN (mpfr_nan_p (m));
243
244  mpfr_clear (x);
245  mpfr_clear (y);
246  mpfr_clear (m);
247}
248
249#define TEST_FUNCTION mpfr_agm
250#define TWO_ARGS
251#define TEST_RANDOM_POS 4
252#define TEST_RANDOM_POS2 4
253#include "tgeneric.c"
254
255int
256main (int argc, char* argv[])
257{
258  tests_start_mpfr ();
259
260  check_nans ();
261
262  check_large ();
263  check4 ("2.0", "1.0", MPFR_RNDN, "1.456791031046906869", -1);
264  check4 ("6.0", "4.0", MPFR_RNDN, "4.949360872472608925", 1);
265  check4 ("62.0", "61.0", MPFR_RNDN, "61.498983718845075902", -1);
266  check4 ("0.5", "1.0", MPFR_RNDN, "0.72839551552345343459", -1);
267  check4 ("1.0", "2.0", MPFR_RNDN, "1.456791031046906869", -1);
268  check4 ("234375765.0", "234375000.0", MPFR_RNDN, "234375382.49984394025", 1);
269  check4 ("8.0", "1.0", MPFR_RNDU, "3.61575617759736274873", 1);
270  check4 ("1.0", "44.0", MPFR_RNDU, "13.3658354512981243907", 1);
271  check4 ("1.0", "3.7252902984619140625e-9", MPFR_RNDU,
272          "0.07553933569711989657765", 1);
273  test_generic (2, 300, 17);
274
275  tests_end_mpfr ();
276  return 0;
277}
278