/* Test file for mpfr_sin_cos. Copyright 2000, 2001, 2002, 2003, 2004, 2006, 2007, 2008, 2009 Free Software Foundation, Inc. Contributed by the Arenaire and Cacao projects, INRIA. This file is part of the GNU MPFR Library. The GNU MPFR Library is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 2.1 of the License, or (at your option) any later version. The GNU MPFR Library is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with the GNU MPFR Library; see the file COPYING.LIB. If not, write to the Free Software Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301, USA. */ #include #include #include "mpfr-test.h" static void large_test (int prec, int N) { int i; mpfr_t x, s, c; mpfr_init2 (x, prec); mpfr_init2 (s, prec); mpfr_init2 (c, prec); mpfr_set_ui (x, 3, GMP_RNDN); mpfr_sqrt (x, x, GMP_RNDN); for (i=0; i 0)) { printf ("Error in overflowed_sin_cos0 (rnd = %s):\n" " Got cos = ", mpfr_print_rnd_mode ((mp_rnd_t) rnd)); mpfr_print_binary (y); printf (" instead of +Inf.\n"); err = 1; } } } set_emax (old_emax); } if (err) exit (1); mpfr_clear (x); mpfr_clear (y); mpfr_clear (z); } static void tiny (void) { mpfr_t x, s, c; int i, inex; mpfr_inits2 (64, x, s, c, (mpfr_ptr) 0); for (i = -1; i <= 1; i += 2) { mpfr_set_si (x, i, GMP_RNDN); mpfr_set_exp (x, mpfr_get_emin ()); inex = mpfr_sin_cos (s, c, x, GMP_RNDN); MPFR_ASSERTN (inex != 0); MPFR_ASSERTN (mpfr_equal_p (s, x)); MPFR_ASSERTN (!mpfr_nan_p (c) && mpfr_cmp_ui (c, 1) == 0); } mpfr_clears (x, s, c, (mpfr_ptr) 0); } /* bug found in nightly tests */ static void test20071214 (void) { mpfr_t a, b; mpfr_init2 (a, 4); mpfr_init2 (b, 4); mpfr_set_ui_2exp (a, 3, -4, GMP_RNDN); mpfr_sin_cos (a, b, a, GMP_RNDD); MPFR_ASSERTN(mpfr_cmp_ui_2exp (a, 11, -6) == 0); MPFR_ASSERTN(mpfr_cmp_ui_2exp (b, 15, -4) == 0); mpfr_clear (a); mpfr_clear (b); } /* Bug fixed in the trunk in r6507. */ static void bug20091008 (void) { mpfr_t x, y, z, yref, zref; mp_prec_t p = 3; mp_rnd_t r = GMP_RNDN; mpfr_init2 (x, p); mpfr_init2 (y, p); mpfr_init2 (z, p); mpfr_init2 (yref, p); mpfr_init2 (zref, p); mpfr_set_str (x, "-0.111E27", 2, GMP_RNDN); mpfr_sin_cos (yref, zref, x, r); mpfr_sin (y, x, r); mpfr_cos (z, x, r); if (mpfr_cmp (y, yref)) { printf ("mpfr_sin_cos and mpfr_sin disagree (bug20091008)\n"); printf ("yref = "); mpfr_dump (yref); printf ("y = "); mpfr_dump (y); exit (1); } if (mpfr_cmp (z, zref)) { printf ("mpfr_sin_cos and mpfr_cos disagree (bug20091008)\n"); printf ("zref = "); mpfr_dump (zref); printf ("z = "); mpfr_dump (z); exit (1); } mpfr_clear (x); mpfr_clear (y); mpfr_clear (z); mpfr_clear (yref); mpfr_clear (zref); } /* Bug reported by Laurent Fousse. http://websympa.loria.fr/wwsympa/arc/mpfr/2009-11/msg00044.html */ static void bug20091122 (void) { mpfr_t x, y, z, yref, zref; mp_prec_t p = 3; mp_rnd_t r = GMP_RNDN; mpfr_init2 (x, 5); mpfr_init2 (y, p); mpfr_init2 (z, p); mpfr_init2 (yref, p); mpfr_init2 (zref, p); mpfr_set_str (x, "0.11111E49", 2, GMP_RNDN); mpfr_sin_cos (yref, zref, x, r); mpfr_sin (y, x, r); mpfr_cos (z, x, r); if (! mpfr_equal_p (y, yref)) { printf ("mpfr_sin_cos and mpfr_sin disagree (bug20091122)\n"); printf ("yref = "); mpfr_dump (yref); printf ("y = "); mpfr_dump (y); exit (1); } if (! mpfr_equal_p (z, zref)) { printf ("mpfr_sin_cos and mpfr_cos disagree (bug20091122)\n"); printf ("zref = "); mpfr_dump (zref); printf ("z = "); mpfr_dump (z); exit (1); } mpfr_clear (x); mpfr_clear (y); mpfr_clear (z); mpfr_clear (yref); mpfr_clear (zref); } static void consistency (void) { mpfr_t x, s1, s2, c1, c2; mp_rnd_t rnd; int i; for (i = 0; i <= 10000; i++) { mpfr_init2 (x, MPFR_PREC_MIN + (randlimb () % 8)); mpfr_inits2 (MPFR_PREC_MIN + (randlimb () % 8), s1, s2, c1, c2, (mpfr_ptr) 0); tests_default_random (x, 256, -5, 50); rnd = RND_RAND (); mpfr_sin (s1, x, rnd); mpfr_cos (c1, x, rnd); mpfr_sin_cos (s2, c2, x, rnd); if (!(mpfr_equal_p (s1, s2) && mpfr_equal_p (c1, c2))) { printf ("mpfr_sin_cos and mpfr_sin/mpfr_cos disagree on %s,\nx = ", mpfr_print_rnd_mode (rnd)); mpfr_dump (x); printf ("s1 = "); mpfr_dump (s1); printf ("s2 = "); mpfr_dump (s2); printf ("c1 = "); mpfr_dump (c1); printf ("c2 = "); mpfr_dump (c2); exit (1); } mpfr_clears (x, s1, s2, c1, c2, (mpfr_ptr) 0); } } /* tsin_cos prec [N] performs N tests with prec bits */ int main(int argc, char *argv[]) { tests_start_mpfr (); if (argc > 1) { large_test (atoi (argv[1]), (argc > 2) ? atoi (argv[2]) : 1); } bug20091008 (); bug20091122 (); consistency (); check_nans (); /* worst case from PhD thesis of Vincent Lefe`vre: x=8980155785351021/2^54 */ check53 ("4.984987858808754279e-1", "4.781075595393330379e-1", "8.783012931285841817e-1", GMP_RNDN); check53 ("4.984987858808754279e-1", "4.781075595393329824e-1", "8.783012931285840707e-1", GMP_RNDD); check53 ("4.984987858808754279e-1", "4.781075595393329824e-1", "8.783012931285840707e-1", GMP_RNDZ); check53 ("4.984987858808754279e-1", "4.781075595393330379e-1", "8.783012931285841817e-1", GMP_RNDU); check53 ("1.00031274099908640274", "8.416399183372403892e-1", "0.540039116973283217504", GMP_RNDN); check53 ("1.00229256850978698523", "8.427074524447979442e-1", "0.538371757797526551137", GMP_RNDZ); check53 ("1.00288304857059840103", "8.430252033025980029e-1", "0.537874062022526966409", GMP_RNDZ); check53 ("1.00591265847407274059", "8.446508805292128885e-1", "0.53531755997839769456", GMP_RNDN); /* check one argument only */ check53sin ("1.00591265847407274059", "8.446508805292128885e-1", GMP_RNDN); check53cos ("1.00591265847407274059", "0.53531755997839769456", GMP_RNDN); overflowed_sin_cos0 (); tiny (); test20071214 (); tests_end_mpfr (); return 0; }