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974e12c1f0
Old version was 3.1.2 and is quite old: 2013-03-13 A lot has happened since then 4.0.1 is from 2018-02-07
283 lines
6.7 KiB
C
283 lines
6.7 KiB
C
/* Test file for mpfr_asin.
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Copyright 2001-2018 Free Software Foundation, Inc.
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Contributed by the AriC and Caramba projects, INRIA.
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This file is part of the GNU MPFR Library.
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The GNU MPFR Library is free software; you can redistribute it and/or modify
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it under the terms of the GNU Lesser General Public License as published by
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the Free Software Foundation; either version 3 of the License, or (at your
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option) any later version.
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The GNU MPFR Library is distributed in the hope that it will be useful, but
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WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
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or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public
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License for more details.
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You should have received a copy of the GNU Lesser General Public License
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along with the GNU MPFR Library; see the file COPYING.LESSER. If not, see
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http://www.gnu.org/licenses/ or write to the Free Software Foundation, Inc.,
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51 Franklin St, Fifth Floor, Boston, MA 02110-1301, USA. */
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#include "mpfr-test.h"
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#define TEST_FUNCTION mpfr_asin
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#define TEST_RANDOM_EMAX 7
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#include "tgeneric.c"
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static void
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special (void)
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{
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mpfr_t x, y;
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int r;
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mpfr_init (x);
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mpfr_init (y);
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/* asin(NaN) = NaN */
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mpfr_set_nan (x);
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mpfr_asin (y, x, MPFR_RNDN);
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if (!mpfr_nan_p (y))
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{
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printf ("Error: mpfr_asin (NaN) <> NaN\n");
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exit (1);
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}
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/* asin(+/-Inf) = NaN */
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mpfr_set_inf (x, 1);
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mpfr_asin (y, x, MPFR_RNDN);
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if (!mpfr_nan_p (y))
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{
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printf ("Error: mpfr_asin (+Inf) <> NaN\n");
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exit (1);
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}
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mpfr_set_inf (x, -1);
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mpfr_asin (y, x, MPFR_RNDN);
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if (!mpfr_nan_p (y))
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{
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printf ("Error: mpfr_asin (-Inf) <> NaN\n");
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exit (1);
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}
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/* asin(+/-2) = NaN */
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mpfr_set_ui (x, 2, MPFR_RNDN);
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mpfr_asin (y, x, MPFR_RNDN);
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if (!mpfr_nan_p (y))
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{
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printf ("Error: mpfr_asin (+2) <> NaN\n");
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exit (1);
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}
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mpfr_set_si (x, -2, MPFR_RNDN);
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mpfr_asin (y, x, MPFR_RNDN);
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if (!mpfr_nan_p (y))
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{
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printf ("Error: mpfr_asin (-2) <> NaN\n");
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exit (1);
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}
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/* asin(+/-0) = +/-0 */
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mpfr_set_ui (x, 0, MPFR_RNDN);
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mpfr_asin (y, x, MPFR_RNDN);
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if (MPFR_NOTZERO (y) || MPFR_IS_NEG (y))
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{
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printf ("Error: mpfr_asin (+0) <> +0\n");
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exit (1);
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}
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mpfr_neg (x, x, MPFR_RNDN);
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mpfr_asin (y, x, MPFR_RNDN);
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if (MPFR_NOTZERO (y) || MPFR_IS_POS (y))
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{
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printf ("Error: mpfr_asin (-0) <> -0\n");
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exit (1);
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}
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/* asin(1) = Pi/2 */
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for (r = 0; r < MPFR_RND_MAX; r++)
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{
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mpfr_set_ui (x, 1, MPFR_RNDN); /* exact */
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mpfr_asin (y, x, (mpfr_rnd_t) r);
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mpfr_const_pi (x, (mpfr_rnd_t) r);
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mpfr_div_2exp (x, x, 1, MPFR_RNDN); /* exact */
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if (mpfr_cmp (x, y))
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{
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printf ("Error: asin(1) != Pi/2 for rnd=%s\n",
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mpfr_print_rnd_mode ((mpfr_rnd_t) r));
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exit (1);
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}
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}
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/* asin(-1) = -Pi/2 */
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for (r = 0; r < MPFR_RND_MAX; r++)
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{
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mpfr_set_si (x, -1, MPFR_RNDN); /* exact */
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mpfr_asin (y, x, (mpfr_rnd_t) r);
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mpfr_const_pi (x, MPFR_INVERT_RND((mpfr_rnd_t) r));
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mpfr_neg (x, x, MPFR_RNDN); /* exact */
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mpfr_div_2exp (x, x, 1, MPFR_RNDN); /* exact */
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if (mpfr_cmp (x, y))
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{
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printf ("Error: asin(-1) != -Pi/2 for rnd=%s\n",
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mpfr_print_rnd_mode ((mpfr_rnd_t) r));
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exit (1);
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}
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}
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mpfr_set_prec (x, 32);
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mpfr_set_prec (y, 32);
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mpfr_set_str_binary (x, "0.1101110111111111001011101000101");
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mpfr_asin (x, x, MPFR_RNDN);
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mpfr_set_str_binary (y, "1.00001100101011000001111100111");
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if (mpfr_cmp (x, y))
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{
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printf ("Error: mpfr_asin (1)\n");
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exit (1);
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}
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mpfr_set_str_binary (x, "-0.01110111000011101010111100000101");
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mpfr_asin (x, x, MPFR_RNDN);
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mpfr_set_str_binary (y, "-0.0111101111010100011111110101");
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if (mpfr_cmp (x, y))
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{
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printf ("Error: mpfr_asin (2)\n");
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mpfr_dump (x);
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mpfr_dump (y);
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exit (1);
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}
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mpfr_set_prec (x, 9);
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mpfr_set_prec (y, 19);
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mpfr_set_str_binary (x, "0.110000000E-6");
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mpfr_asin (y, x, MPFR_RNDD);
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mpfr_set_prec (x, 19);
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mpfr_set_str_binary (x, "0.1100000000000001001E-6");
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if (mpfr_cmp (x, y))
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{
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printf ("Error: mpfr_asin (3)\n");
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mpfr_dump (x);
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mpfr_dump (y);
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exit (1);
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}
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mpfr_clear (x);
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mpfr_clear (y);
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}
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static void
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special_overflow (void)
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{
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mpfr_t x, y;
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mpfr_exp_t emin, emax;
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emin = mpfr_get_emin ();
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emax = mpfr_get_emax ();
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set_emin (-125);
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set_emax (128);
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mpfr_init2 (x, 24);
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mpfr_init2 (y, 48);
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mpfr_set_str_binary (x, "0.101100100000000000110100E0");
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mpfr_asin (y, x, MPFR_RNDN);
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if (mpfr_cmp_str (y, "0.110001001101001111110000010110001000111011001000E0",
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2, MPFR_RNDN))
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{
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printf("Special Overflow error.\n");
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mpfr_dump (y);
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exit (1);
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}
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mpfr_clear (y);
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mpfr_clear (x);
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set_emin (emin);
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set_emax (emax);
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}
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/* bug reported by Kevin Rauch on 15 December 2007 */
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static void
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test20071215 (void)
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{
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mpfr_t x, y;
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mpfr_init (x);
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mpfr_init (y);
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mpfr_set_ui (x, 0, MPFR_RNDN);
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mpfr_neg (x, x, MPFR_RNDN);
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mpfr_set_ui (y, 1, MPFR_RNDN);
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mpfr_asin (y, x, MPFR_RNDN);
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MPFR_ASSERTN(mpfr_zero_p (y) && MPFR_IS_NEG(y));
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mpfr_set_ui (x, 0, MPFR_RNDN);
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mpfr_set_si (y, -1, MPFR_RNDN);
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mpfr_asin (y, x, MPFR_RNDN);
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MPFR_ASSERTN(mpfr_zero_p (y) && MPFR_IS_POS(y));
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mpfr_clear (x);
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mpfr_clear (y);
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}
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static void
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reduced_expo_range (void)
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{
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mpfr_exp_t emin, emax;
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mpfr_t x, y, ex_y;
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int inex, ex_inex;
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unsigned int flags, ex_flags;
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emin = mpfr_get_emin ();
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emax = mpfr_get_emax ();
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mpfr_inits2 (4, x, y, ex_y, (mpfr_ptr) 0);
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mpfr_set_str (x, "-0.1e1", 2, MPFR_RNDN);
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mpfr_set_emin (1);
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mpfr_set_emax (1);
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mpfr_clear_flags ();
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inex = mpfr_asin (y, x, MPFR_RNDA);
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flags = __gmpfr_flags;
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mpfr_set_emin (emin);
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mpfr_set_emax (emax);
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mpfr_set_str (ex_y, "-0.1101e1", 2, MPFR_RNDN);
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ex_inex = -1;
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ex_flags = MPFR_FLAGS_INEXACT;
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if (VSIGN (inex) != ex_inex || flags != ex_flags ||
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! mpfr_equal_p (y, ex_y))
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{
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printf ("Error in reduced_expo_range\non x = ");
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mpfr_dump (x);
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printf ("Expected y = ");
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mpfr_out_str (stdout, 2, 0, ex_y, MPFR_RNDN);
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printf ("\n inex = %d, flags = %u\n", ex_inex, ex_flags);
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printf ("Got y = ");
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mpfr_out_str (stdout, 2, 0, y, MPFR_RNDN);
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printf ("\n inex = %d, flags = %u\n", VSIGN (inex), flags);
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exit (1);
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}
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mpfr_clears (x, y, ex_y, (mpfr_ptr) 0);
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}
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int
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main (void)
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{
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tests_start_mpfr ();
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special ();
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special_overflow ();
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reduced_expo_range ();
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test_generic (MPFR_PREC_MIN, 100, 15);
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tests_end_mpfr ();
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data_check ("data/asin", mpfr_asin, "mpfr_asin");
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bad_cases (mpfr_asin, mpfr_sin, "mpfr_asin", 256, -40, 1, 4, 128, 800, 30);
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test20071215 ();
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tests_end_mpfr ();
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return 0;
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}
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