/* Test file for mpfr_asin. Copyright 2001-2015 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_asin #define TEST_RANDOM_EMAX 7 #include "tgeneric.c" static void special (void) { mpfr_t x, y; int r; mpfr_init (x); mpfr_init (y); /* asin(NaN) = NaN */ mpfr_set_nan (x); mpfr_asin (y, x, MPFR_RNDN); if (!mpfr_nan_p (y)) { printf ("Error: mpfr_asin (NaN) <> NaN\n"); exit (1); } /* asin(+/-Inf) = NaN */ mpfr_set_inf (x, 1); mpfr_asin (y, x, MPFR_RNDN); if (!mpfr_nan_p (y)) { printf ("Error: mpfr_asin (+Inf) <> NaN\n"); exit (1); } mpfr_set_inf (x, -1); mpfr_asin (y, x, MPFR_RNDN); if (!mpfr_nan_p (y)) { printf ("Error: mpfr_asin (-Inf) <> NaN\n"); exit (1); } /* asin(+/-2) = NaN */ mpfr_set_ui (x, 2, MPFR_RNDN); mpfr_asin (y, x, MPFR_RNDN); if (!mpfr_nan_p (y)) { printf ("Error: mpfr_asin (+2) <> NaN\n"); exit (1); } mpfr_set_si (x, -2, MPFR_RNDN); mpfr_asin (y, x, MPFR_RNDN); if (!mpfr_nan_p (y)) { printf ("Error: mpfr_asin (-2) <> NaN\n"); exit (1); } /* asin(+/-0) = +/-0 */ mpfr_set_ui (x, 0, MPFR_RNDN); mpfr_asin (y, x, MPFR_RNDN); if (mpfr_cmp_ui (y, 0) || mpfr_sgn (y) < 0) { printf ("Error: mpfr_asin (+0) <> +0\n"); exit (1); } mpfr_neg (x, x, MPFR_RNDN); mpfr_asin (y, x, MPFR_RNDN); if (mpfr_cmp_ui (y, 0) || mpfr_sgn (y) > 0) { printf ("Error: mpfr_asin (-0) <> -0\n"); exit (1); } /* asin(1) = Pi/2 */ for (r = 0; r < MPFR_RND_MAX; r++) { mpfr_set_ui (x, 1, MPFR_RNDN); /* exact */ mpfr_asin (y, x, (mpfr_rnd_t) r); mpfr_const_pi (x, (mpfr_rnd_t) r); mpfr_div_2exp (x, x, 1, MPFR_RNDN); /* exact */ if (mpfr_cmp (x, y)) { printf ("Error: asin(1) != Pi/2 for rnd=%s\n", mpfr_print_rnd_mode ((mpfr_rnd_t) r)); exit (1); } } /* asin(-1) = -Pi/2 */ for (r = 0; r < MPFR_RND_MAX; r++) { mpfr_set_si (x, -1, MPFR_RNDN); /* exact */ mpfr_asin (y, x, (mpfr_rnd_t) r); mpfr_const_pi (x, MPFR_INVERT_RND((mpfr_rnd_t) r)); mpfr_neg (x, x, MPFR_RNDN); /* exact */ mpfr_div_2exp (x, x, 1, MPFR_RNDN); /* exact */ if (mpfr_cmp (x, y)) { printf ("Error: asin(-1) != -Pi/2 for rnd=%s\n", mpfr_print_rnd_mode ((mpfr_rnd_t) r)); exit (1); } } mpfr_set_prec (x, 32); mpfr_set_prec (y, 32); mpfr_set_str_binary (x, "0.1101110111111111001011101000101"); mpfr_asin (x, x, MPFR_RNDN); mpfr_set_str_binary (y, "1.00001100101011000001111100111"); if (mpfr_cmp (x, y)) { printf ("Error: mpfr_asin (1)\n"); exit (1); } mpfr_set_str_binary (x, "-0.01110111000011101010111100000101"); mpfr_asin (x, x, MPFR_RNDN); mpfr_set_str_binary (y, "-0.0111101111010100011111110101"); if (mpfr_cmp (x, y)) { printf ("Error: mpfr_asin (2)\n"); mpfr_print_binary (x); printf ("\n"); mpfr_print_binary (y); printf ("\n"); exit (1); } mpfr_set_prec (x, 9); mpfr_set_prec (y, 19); mpfr_set_str_binary (x, "0.110000000E-6"); mpfr_asin (y, x, MPFR_RNDD); mpfr_set_prec (x, 19); mpfr_set_str_binary (x, "0.1100000000000001001E-6"); if (mpfr_cmp (x, y)) { printf ("Error: mpfr_asin (3)\n"); mpfr_dump (x); mpfr_dump (y); exit (1); } mpfr_clear (x); mpfr_clear (y); } static void special_overflow (void) { mpfr_t x, y; mpfr_exp_t emin, emax; emin = mpfr_get_emin (); emax = mpfr_get_emax (); set_emin (-125); set_emax (128); mpfr_init2 (x, 24); mpfr_init2 (y, 48); mpfr_set_str_binary (x, "0.101100100000000000110100E0"); mpfr_asin (y, x, MPFR_RNDN); if (mpfr_cmp_str (y, "0.110001001101001111110000010110001000111011001000E0", 2, MPFR_RNDN)) { printf("Special Overflow error.\n"); mpfr_dump (y); exit (1); } mpfr_clear (y); mpfr_clear (x); set_emin (emin); set_emax (emax); } /* bug reported by Kevin Rauch on 15 December 2007 */ static void test20071215 (void) { mpfr_t x, y; mpfr_init (x); mpfr_init (y); mpfr_set_ui (x, 0, MPFR_RNDN); mpfr_neg (x, x, MPFR_RNDN); mpfr_set_ui (y, 1, MPFR_RNDN); mpfr_asin (y, x, MPFR_RNDN); MPFR_ASSERTN(mpfr_zero_p (y) && MPFR_IS_NEG(y)); mpfr_set_ui (x, 0, MPFR_RNDN); mpfr_set_si (y, -1, MPFR_RNDN); mpfr_asin (y, x, MPFR_RNDN); MPFR_ASSERTN(mpfr_zero_p (y) && MPFR_IS_POS(y)); mpfr_clear (x); mpfr_clear (y); } static void reduced_expo_range (void) { mpfr_exp_t emin, emax; mpfr_t x, y, ex_y; int inex, ex_inex; unsigned int flags, ex_flags; emin = mpfr_get_emin (); emax = mpfr_get_emax (); mpfr_inits2 (4, x, y, ex_y, (mpfr_ptr) 0); mpfr_set_str (x, "-0.1e1", 2, MPFR_RNDN); mpfr_set_emin (1); mpfr_set_emax (1); mpfr_clear_flags (); inex = mpfr_asin (y, x, MPFR_RNDA); flags = __gmpfr_flags; mpfr_set_emin (emin); mpfr_set_emax (emax); mpfr_set_str (ex_y, "-0.1101e1", 2, MPFR_RNDN); ex_inex = -1; ex_flags = MPFR_FLAGS_INEXACT; if (SIGN (inex) != ex_inex || flags != ex_flags || ! mpfr_equal_p (y, ex_y)) { printf ("Error in reduced_expo_range\non x = "); mpfr_dump (x); printf ("Expected y = "); mpfr_out_str (stdout, 2, 0, ex_y, MPFR_RNDN); printf ("\n inex = %d, flags = %u\n", ex_inex, ex_flags); printf ("Got y = "); mpfr_out_str (stdout, 2, 0, y, MPFR_RNDN); printf ("\n inex = %d, flags = %u\n", SIGN (inex), flags); exit (1); } mpfr_clears (x, y, ex_y, (mpfr_ptr) 0); } int main (void) { tests_start_mpfr (); special (); special_overflow (); reduced_expo_range (); test_generic (2, 100, 15); tests_end_mpfr (); data_check ("data/asin", mpfr_asin, "mpfr_asin"); bad_cases (mpfr_asin, mpfr_sin, "mpfr_asin", 256, -40, 1, 4, 128, 800, 30); test20071215 (); tests_end_mpfr (); return 0; }