| /* Test file for mpfr_asin. |
| |
| Copyright 2001, 2002, 2003, 2004, 2005, 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 <stdio.h> |
| #include <stdlib.h> |
| |
| #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, GMP_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, GMP_RNDN); |
| if (!mpfr_nan_p (y)) |
| { |
| printf ("Error: mpfr_asin (+Inf) <> NaN\n"); |
| exit (1); |
| } |
| mpfr_set_inf (x, -1); |
| mpfr_asin (y, x, GMP_RNDN); |
| if (!mpfr_nan_p (y)) |
| { |
| printf ("Error: mpfr_asin (-Inf) <> NaN\n"); |
| exit (1); |
| } |
| |
| /* asin(+/-2) = NaN */ |
| mpfr_set_ui (x, 2, GMP_RNDN); |
| mpfr_asin (y, x, GMP_RNDN); |
| if (!mpfr_nan_p (y)) |
| { |
| printf ("Error: mpfr_asin (+2) <> NaN\n"); |
| exit (1); |
| } |
| mpfr_set_si (x, -2, GMP_RNDN); |
| mpfr_asin (y, x, GMP_RNDN); |
| if (!mpfr_nan_p (y)) |
| { |
| printf ("Error: mpfr_asin (-2) <> NaN\n"); |
| exit (1); |
| } |
| |
| /* asin(+/-0) = +/-0 */ |
| mpfr_set_ui (x, 0, GMP_RNDN); |
| mpfr_asin (y, x, GMP_RNDN); |
| if (mpfr_cmp_ui (y, 0) || mpfr_sgn (y) < 0) |
| { |
| printf ("Error: mpfr_asin (+0) <> +0\n"); |
| exit (1); |
| } |
| mpfr_neg (x, x, GMP_RNDN); |
| mpfr_asin (y, x, GMP_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 < GMP_RND_MAX; r++) |
| { |
| mpfr_set_ui (x, 1, GMP_RNDN); /* exact */ |
| mpfr_asin (y, x, (mp_rnd_t) r); |
| mpfr_const_pi (x, (mp_rnd_t) r); |
| mpfr_div_2exp (x, x, 1, GMP_RNDN); /* exact */ |
| if (mpfr_cmp (x, y)) |
| { |
| printf ("Error: asin(1) != Pi/2 for rnd=%s\n", |
| mpfr_print_rnd_mode ((mp_rnd_t) r)); |
| exit (1); |
| } |
| } |
| |
| /* asin(-1) = -Pi/2 */ |
| for (r = 0; r < GMP_RND_MAX; r++) |
| { |
| mpfr_set_si (x, -1, GMP_RNDN); /* exact */ |
| mpfr_asin (y, x, (mp_rnd_t) r); |
| mpfr_const_pi (x, MPFR_INVERT_RND((mp_rnd_t) r)); |
| mpfr_neg (x, x, GMP_RNDN); /* exact */ |
| mpfr_div_2exp (x, x, 1, GMP_RNDN); /* exact */ |
| if (mpfr_cmp (x, y)) |
| { |
| printf ("Error: asin(-1) != -Pi/2 for rnd=%s\n", |
| mpfr_print_rnd_mode ((mp_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, GMP_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, GMP_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, GMP_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; |
| mp_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, GMP_RNDN); |
| if (mpfr_cmp_str (y, "0.110001001101001111110000010110001000111011001000E0", |
| 2, GMP_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, GMP_RNDN); |
| mpfr_neg (x, x, GMP_RNDN); |
| mpfr_set_ui (y, 1, GMP_RNDN); |
| mpfr_asin (y, x, GMP_RNDN); |
| MPFR_ASSERTN(mpfr_zero_p (y) && MPFR_IS_NEG(y)); |
| |
| mpfr_set_ui (x, 0, GMP_RNDN); |
| mpfr_set_si (y, -1, GMP_RNDN); |
| mpfr_asin (y, x, GMP_RNDN); |
| MPFR_ASSERTN(mpfr_zero_p (y) && MPFR_IS_POS(y)); |
| |
| mpfr_clear (x); |
| mpfr_clear (y); |
| } |
| |
| int |
| main (void) |
| { |
| tests_start_mpfr (); |
| |
| special (); |
| special_overflow (); |
| |
| 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; |
| } |