--- /dev/null
+/* Test file for mpfr_sin_cos.
+
+Copyright 2000, 2001, 2002, 2003, 2004, 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"
+
+static void
+large_test (int prec, int N)
+{
+ int i;
+ mpfr_t x, s, c;
+
+ mpfr_init2 (x, prec);
+ mpfr_init2 (s, prec);
+ mpfr_init2 (c, prec);
+ mpfr_set_ui (x, 3, GMP_RNDN);
+ mpfr_sqrt (x, x, GMP_RNDN);
+ for (i=0; i<N; i++)
+ mpfr_sin_cos (s, c, x, GMP_RNDN);
+ mpfr_out_str (stdout, 10, 0, s, GMP_RNDN); puts ("");
+ mpfr_clear (x);
+ mpfr_clear (s);
+ mpfr_clear (c);
+}
+
+static void
+check53 (const char *xs, const char *sin_xs, const char *cos_xs,
+ mp_rnd_t rnd_mode)
+{
+ mpfr_t xx, s, c;
+
+ mpfr_inits2 (53, xx, s, c, (mpfr_ptr) 0);
+ mpfr_set_str1 (xx, xs); /* should be exact */
+ mpfr_sin_cos (s, c, xx, rnd_mode);
+ if (mpfr_cmp_str1 (s, sin_xs))
+ {
+ printf ("mpfr_sin_cos failed for x=%s, rnd=%s\n",
+ xs, mpfr_print_rnd_mode (rnd_mode));
+ printf ("mpfr_sin_cos gives sin(x)=");
+ mpfr_out_str(stdout, 10, 0, s, GMP_RNDN);
+ printf(", expected %s\n", sin_xs);
+ exit (1);
+ }
+ if (mpfr_cmp_str1 (c, cos_xs))
+ {
+ printf ("mpfr_sin_cos failed for x=%s, rnd=%s\n",
+ xs, mpfr_print_rnd_mode (rnd_mode));
+ printf ("mpfr_sin_cos gives cos(x)=");
+ mpfr_out_str(stdout, 10, 0, c, GMP_RNDN);
+ printf(", expected %s\n", cos_xs);
+ exit (1);
+ }
+ mpfr_clears (xx, s, c, (mpfr_ptr) 0);
+}
+
+static void
+check53sin (const char *xs, const char *sin_xs, mp_rnd_t rnd_mode)
+{
+ mpfr_t xx, s, c;
+
+ mpfr_inits2 (53, xx, s, c, (mpfr_ptr) 0);
+ mpfr_set_str1 (xx, xs); /* should be exact */
+ mpfr_sin_cos (s, c, xx, rnd_mode);
+ if (mpfr_cmp_str1 (s, sin_xs))
+ {
+ printf ("mpfr_sin_cos failed for x=%s, rnd=%s\n",
+ xs, mpfr_print_rnd_mode (rnd_mode));
+ printf ("mpfr_sin_cos gives sin(x)=");
+ mpfr_out_str(stdout, 10, 0, s, GMP_RNDN);
+ printf(", expected %s\n", sin_xs);
+ exit (1);
+ }
+ mpfr_clears (xx, s, c, (mpfr_ptr) 0);
+}
+
+static void
+check53cos (const char *xs, const char *cos_xs, mp_rnd_t rnd_mode)
+{
+ mpfr_t xx, c, s;
+
+ mpfr_inits2 (53, xx, s, c, (mpfr_ptr) 0);
+ mpfr_set_str1 (xx, xs); /* should be exact */
+ mpfr_sin_cos (s, c, xx, rnd_mode);
+ if (mpfr_cmp_str1 (c, cos_xs))
+ {
+ printf ("mpfr_sin_cos failed for x=%s, rnd=%s\n",
+ xs, mpfr_print_rnd_mode (rnd_mode));
+ printf ("mpfr_sin_cos gives cos(x)=");
+ mpfr_out_str(stdout, 10, 0, c, GMP_RNDN);
+ printf(", expected %s\n", cos_xs);
+ exit (1);
+ }
+ mpfr_clears (xx, s, c, (mpfr_ptr) 0);
+}
+
+static void
+check_nans (void)
+{
+ mpfr_t x, s, c;
+
+ mpfr_init2 (x, 123L);
+ mpfr_init2 (s, 123L);
+ mpfr_init2 (c, 123L);
+
+ /* sin(NaN)==NaN, cos(NaN)==NaN */
+ mpfr_set_nan (x);
+ mpfr_sin_cos (s, c, x, GMP_RNDN);
+ MPFR_ASSERTN (mpfr_nan_p (s));
+ MPFR_ASSERTN (mpfr_nan_p (c));
+
+ /* sin(+Inf)==NaN, cos(+Inf)==NaN */
+ mpfr_set_inf (x, 1);
+ mpfr_sin_cos (s, c, x, GMP_RNDN);
+ MPFR_ASSERTN (mpfr_nan_p (s));
+ MPFR_ASSERTN (mpfr_nan_p (c));
+
+ /* sin(-Inf)==NaN, cos(-Inf)==NaN */
+ mpfr_set_inf (x, -1);
+ mpfr_sin_cos (s, c, x, GMP_RNDN);
+ MPFR_ASSERTN (mpfr_nan_p (s));
+ MPFR_ASSERTN (mpfr_nan_p (c));
+
+ /* check zero */
+ mpfr_set_ui (x, 0, GMP_RNDN);
+ mpfr_sin_cos (s, c, x, GMP_RNDN);
+ MPFR_ASSERTN (mpfr_cmp_ui (s, 0) == 0 && MPFR_IS_POS (s));
+ MPFR_ASSERTN (mpfr_cmp_ui (c, 1) == 0);
+ mpfr_neg (x, x, GMP_RNDN);
+ mpfr_sin_cos (s, c, x, GMP_RNDN);
+ MPFR_ASSERTN (mpfr_cmp_ui (s, 0) == 0 && MPFR_IS_NEG (s));
+ MPFR_ASSERTN (mpfr_cmp_ui (c, 1) == 0);
+
+ /* coverage test */
+ mpfr_set_prec (x, 2);
+ mpfr_set_ui (x, 4, GMP_RNDN);
+ mpfr_set_prec (s, 2);
+ mpfr_set_prec (c, 2);
+ mpfr_sin_cos (s, c, x, GMP_RNDN);
+ MPFR_ASSERTN (mpfr_cmp_si_2exp (s, -3, -2) == 0);
+ MPFR_ASSERTN (mpfr_cmp_si_2exp (c, -3, -2) == 0);
+
+ mpfr_clear (x);
+ mpfr_clear (s);
+ mpfr_clear (c);
+}
+
+static void
+overflowed_sin_cos0 (void)
+{
+ mpfr_t x, y, z;
+ int emax, inex, rnd, err = 0;
+ mp_exp_t old_emax;
+
+ old_emax = mpfr_get_emax ();
+
+ mpfr_init2 (x, 8);
+ mpfr_init2 (y, 8);
+ mpfr_init2 (z, 8);
+
+ for (emax = -1; emax <= 0; emax++)
+ {
+ mpfr_set_ui_2exp (z, 1, emax, GMP_RNDN);
+ mpfr_nextbelow (z);
+ set_emax (emax); /* 1 is not representable. */
+ /* and if emax < 0, 1 - eps is not representable either. */
+ RND_LOOP (rnd)
+ {
+ mpfr_set_si (x, 0, GMP_RNDN);
+ mpfr_neg (x, x, GMP_RNDN);
+ mpfr_clear_flags ();
+ inex = mpfr_sin_cos (x, y, x, (mp_rnd_t) rnd);
+ if (! mpfr_overflow_p ())
+ {
+ printf ("Error in overflowed_sin_cos0 (rnd = %s):\n"
+ " The overflow flag is not set.\n",
+ mpfr_print_rnd_mode ((mp_rnd_t) rnd));
+ err = 1;
+ }
+ if (! (mpfr_zero_p (x) && MPFR_SIGN (x) < 0))
+ {
+ printf ("Error in overflowed_sin_cos0 (rnd = %s):\n"
+ " Got sin = ", mpfr_print_rnd_mode ((mp_rnd_t) rnd));
+ mpfr_print_binary (x);
+ printf (" instead of -0.\n");
+ err = 1;
+ }
+ if (rnd == GMP_RNDZ || rnd == GMP_RNDD)
+ {
+ if (inex == 0)
+ {
+ printf ("Error in overflowed_sin_cos0 (rnd = %s):\n"
+ " The inexact value must be non-zero.\n",
+ mpfr_print_rnd_mode ((mp_rnd_t) rnd));
+ err = 1;
+ }
+ if (! mpfr_equal_p (y, z))
+ {
+ printf ("Error in overflowed_sin_cos0 (rnd = %s):\n"
+ " Got cos = ",
+ mpfr_print_rnd_mode ((mp_rnd_t) rnd));
+ mpfr_print_binary (y);
+ printf (" instead of 0.11111111E%d.\n", emax);
+ err = 1;
+ }
+ }
+ else
+ {
+ if (inex == 0)
+ {
+ printf ("Error in overflowed_sin_cos0 (rnd = %s):\n"
+ " The inexact value must be non-zero.\n",
+ mpfr_print_rnd_mode ((mp_rnd_t) rnd));
+ err = 1;
+ }
+ if (! (mpfr_inf_p (y) && MPFR_SIGN (y) > 0))
+ {
+ printf ("Error in overflowed_sin_cos0 (rnd = %s):\n"
+ " Got cos = ",
+ mpfr_print_rnd_mode ((mp_rnd_t) rnd));
+ mpfr_print_binary (y);
+ printf (" instead of +Inf.\n");
+ err = 1;
+ }
+ }
+ }
+ set_emax (old_emax);
+ }
+
+ if (err)
+ exit (1);
+ mpfr_clear (x);
+ mpfr_clear (y);
+ mpfr_clear (z);
+}
+
+static void
+tiny (void)
+{
+ mpfr_t x, s, c;
+ int i, inex;
+
+ mpfr_inits2 (64, x, s, c, (mpfr_ptr) 0);
+
+ for (i = -1; i <= 1; i += 2)
+ {
+ mpfr_set_si (x, i, GMP_RNDN);
+ mpfr_set_exp (x, mpfr_get_emin ());
+ inex = mpfr_sin_cos (s, c, x, GMP_RNDN);
+ MPFR_ASSERTN (inex != 0);
+ MPFR_ASSERTN (mpfr_equal_p (s, x));
+ MPFR_ASSERTN (!mpfr_nan_p (c) && mpfr_cmp_ui (c, 1) == 0);
+ }
+
+ mpfr_clears (x, s, c, (mpfr_ptr) 0);
+}
+
+/* bug found in nightly tests */
+static void
+test20071214 (void)
+{
+ mpfr_t a, b;
+
+ mpfr_init2 (a, 4);
+ mpfr_init2 (b, 4);
+
+ mpfr_set_ui_2exp (a, 3, -4, GMP_RNDN);
+ mpfr_sin_cos (a, b, a, GMP_RNDD);
+ MPFR_ASSERTN(mpfr_cmp_ui_2exp (a, 11, -6) == 0);
+ MPFR_ASSERTN(mpfr_cmp_ui_2exp (b, 15, -4) == 0);
+
+ mpfr_clear (a);
+ mpfr_clear (b);
+}
+
+/* tsin_cos prec [N] performs N tests with prec bits */
+int
+main(int argc, char *argv[])
+{
+ tests_start_mpfr ();
+
+ if (argc > 1)
+ {
+ large_test (atoi (argv[1]), (argc > 2) ? atoi (argv[2]) : 1);
+ }
+
+ check_nans ();
+
+ /* worst case from PhD thesis of Vincent Lefe`vre: x=8980155785351021/2^54 */
+ check53 ("4.984987858808754279e-1", "4.781075595393330379e-1",
+ "8.783012931285841817e-1", GMP_RNDN);
+ check53 ("4.984987858808754279e-1", "4.781075595393329824e-1",
+ "8.783012931285840707e-1", GMP_RNDD);
+ check53 ("4.984987858808754279e-1", "4.781075595393329824e-1",
+ "8.783012931285840707e-1", GMP_RNDZ);
+ check53 ("4.984987858808754279e-1", "4.781075595393330379e-1",
+ "8.783012931285841817e-1", GMP_RNDU);
+ check53 ("1.00031274099908640274", "8.416399183372403892e-1",
+ "0.540039116973283217504", GMP_RNDN);
+ check53 ("1.00229256850978698523", "8.427074524447979442e-1",
+ "0.538371757797526551137", GMP_RNDZ);
+ check53 ("1.00288304857059840103", "8.430252033025980029e-1",
+ "0.537874062022526966409", GMP_RNDZ);
+ check53 ("1.00591265847407274059", "8.446508805292128885e-1",
+ "0.53531755997839769456", GMP_RNDN);
+
+ /* check one argument only */
+ check53sin ("1.00591265847407274059", "8.446508805292128885e-1", GMP_RNDN);
+ check53cos ("1.00591265847407274059", "0.53531755997839769456", GMP_RNDN);
+
+ overflowed_sin_cos0 ();
+ tiny ();
+ test20071214 ();
+
+ tests_end_mpfr ();
+ return 0;
+}
projects / msp430-gcc.git / blobdiff