/* Test file for mpfr_cot. Copyright 2005, 2006, 2007, 2008, 2009, 2010, 2011, 2012, 2013 Free Software Foundation, Inc. Contributed by the AriC and Caramel 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 3 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.LESSER. If not, see http://www.gnu.org/licenses/ or write to the Free Software Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301, USA. */ #include #include #include "mpfr-test.h" #define TEST_FUNCTION mpfr_cot #define REDUCE_EMAX 262143 /* otherwise arg. reduction is too expensive */ #include "tgeneric.c" static void check_specials (void) { mpfr_t x, y; mpfr_init2 (x, 123L); mpfr_init2 (y, 123L); mpfr_set_nan (x); mpfr_cot (y, x, MPFR_RNDN); if (! mpfr_nan_p (y)) { printf ("Error: cot(NaN) != NaN\n"); exit (1); } mpfr_set_inf (x, 1); mpfr_cot (y, x, MPFR_RNDN); if (! mpfr_nan_p (y)) { printf ("Error: cot(Inf) != NaN\n"); exit (1); } mpfr_set_inf (x, -1); mpfr_cot (y, x, MPFR_RNDN); if (! mpfr_nan_p (y)) { printf ("Error: cot(-Inf) != NaN\n"); exit (1); } /* cot(+/-0) = +/-Inf */ mpfr_set_ui (x, 0, MPFR_RNDN); mpfr_cot (y, x, MPFR_RNDN); if (! (mpfr_inf_p (y) && mpfr_sgn (y) > 0)) { printf ("Error: cot(+0) != +Inf\n"); exit (1); } mpfr_neg (x, x, MPFR_RNDN); mpfr_cot (y, x, MPFR_RNDN); if (! (mpfr_inf_p (y) && mpfr_sgn (y) < 0)) { printf ("Error: cot(-0) != -Inf\n"); exit (1); } mpfr_clear (x); mpfr_clear (y); } static void two2emin (mpfr_exp_t e) { mpfr_exp_t old_emin, old_emax; mpfr_t x, y; int i, rnd; old_emin = mpfr_get_emin (); old_emax = mpfr_get_emax (); if (mpfr_set_emin (-e) || mpfr_set_emax (e)) { printf ("Can't change exponent range\n"); exit (1); } mpfr_inits2 (53, x, y, (mpfr_ptr) 0); for (i = -4; i <= 4; i++) RND_LOOP (rnd) { mpfr_set_si (y, i, MPFR_RNDN); mpfr_ui_div (y, 1, y, (mpfr_rnd_t) rnd); /* no overflow/underflow */ mpfr_set_si_2exp (x, i, -e, MPFR_RNDN); if (ABS (i) != 3) /* not a power of 2 (not 0 either) */ mpfr_sub (y, y, x, (mpfr_rnd_t) rnd); /* no overflow/underflow */ mpfr_set_ui_2exp (x, 1, -e, MPFR_RNDN); mpfr_div (y, y, x, (mpfr_rnd_t) rnd); /* 1/x - SIGN(x).epsilon */ mpfr_set_si_2exp (x, i, -e, MPFR_RNDN); mpfr_cot (x, x, (mpfr_rnd_t) rnd); if (! mpfr_equal_p (x, y)) { printf ("Error in two2emin for i = %d and rnd = %s\n", i, mpfr_print_rnd_mode ((mpfr_rnd_t) rnd)); printf ("Got "); mpfr_dump (x); printf ("instead of "); mpfr_dump (y); exit (1); } } mpfr_clears (x, y, (mpfr_ptr) 0); mpfr_set_emin (old_emin); mpfr_set_emax (old_emax); } int main (int argc, char *argv[]) { tests_start_mpfr (); check_specials (); two2emin (256); two2emin (MPFR_EMAX_DEFAULT); if (MPFR_EMAX_MAX != MPFR_EMAX_DEFAULT) two2emin (MPFR_EMAX_MAX); test_generic (2, 200, 5); tests_end_mpfr (); return 0; }