--- /dev/null
+/* 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;
+}
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