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/* Test file for mpfr_sin_cos.
Copyright (C) 2000, 2001 Free Software Foundation, Inc.
This file is part of the MPFR Library.
The 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 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 MPFR Library; see the file COPYING.LIB. If not, write to
the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston,
MA 02111-1307, USA. */
#include "gmp.h"
#include "mpfr.h"
void large_test _PROTO ((int, int));
void check53 _PROTO ((double, double, double, mp_rnd_t));
void check53sin _PROTO ((double, double, mp_rnd_t));
void check53cos _PROTO ((double, double, mp_rnd_t));
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_d (x, 3.0, 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); putchar('\n');
mpfr_clear (x);
mpfr_clear (s);
mpfr_clear (c);
}
void check53 (double x, double sin_x, double cos_x, mp_rnd_t rnd_mode)
{
mpfr_t xx, s, c;
mpfr_init2 (xx, 53);
mpfr_init2 (s, 53);
mpfr_init2 (c, 53);
mpfr_set_d (xx, x, rnd_mode); /* should be exact */
mpfr_sin_cos (s, c, xx, rnd_mode);
if (mpfr_get_d (s) != sin_x && (!isnan(sin_x) || !isnan(mpfr_get_d(s)))) {
fprintf (stderr, "mpfr_sin_cos failed for x=%1.20e, rnd=%s\n", x,
mpfr_print_rnd_mode (rnd_mode));
fprintf (stderr, "mpfr_sin_cos gives sin(x)=%1.20e, expected %1.20e\n",
mpfr_get_d (s), sin_x);
exit(1);
}
if (mpfr_get_d (c) != cos_x && (!isnan(cos_x) || !isnan(mpfr_get_d(c)))) {
fprintf (stderr, "mpfr_sin_cos failed for x=%1.20e, rnd=%s\n", x,
mpfr_print_rnd_mode (rnd_mode));
fprintf (stderr, "mpfr_sin_cos gives cos(x)=%1.20e, expected %1.20e\n",
mpfr_get_d (c), cos_x);
exit(1);
}
mpfr_clear (xx);
mpfr_clear (s);
mpfr_clear (c);
}
void check53sin (double x, double sin_x, mp_rnd_t rnd_mode)
{
mpfr_t xx, s;
mpfr_init2 (xx, 53);
mpfr_init2 (s, 53);
mpfr_set_d (xx, x, rnd_mode); /* should be exact */
mpfr_sin_cos (s, NULL, xx, rnd_mode);
if (mpfr_get_d (s) != sin_x && (!isnan(sin_x) || !isnan(mpfr_get_d(s)))) {
fprintf (stderr, "mpfr_sin_cos failed for x=%1.20e, rnd=%s\n", x,
mpfr_print_rnd_mode (rnd_mode));
fprintf (stderr, "mpfr_sin_cos gives sin(x)=%1.20e, expected %1.20e\n",
mpfr_get_d (s), sin_x);
exit(1);
}
mpfr_clear (xx);
mpfr_clear (s);
}
void check53cos (double x, double cos_x, mp_rnd_t rnd_mode)
{
mpfr_t xx, c;
mpfr_init2 (xx, 53);
mpfr_init2 (c, 53);
mpfr_set_d (xx, x, rnd_mode); /* should be exact */
mpfr_sin_cos (NULL, c, xx, rnd_mode);
if (mpfr_get_d (c) != cos_x && (!isnan(cos_x) || !isnan(mpfr_get_d(c)))) {
fprintf (stderr, "mpfr_sin_cos failed for x=%1.20e, rnd=%s\n", x,
mpfr_print_rnd_mode (rnd_mode));
fprintf (stderr, "mpfr_sin_cos gives cos(x)=%1.20e, expected %1.20e\n",
mpfr_get_d (c), cos_x);
exit(1);
}
mpfr_clear (xx);
mpfr_clear (c);
}
/* tsin_cos prec [N] performs N tests with prec bits */
int
main(int argc, char *argv[])
{
if (argc > 1) {
large_test (atoi (argv[1]), (argc > 2) ? atoi (argv[2]) : 1);
}
check53(0.0/0.0, 0.0/0.0, 0.0/0.0, GMP_RNDN);
check53(1.0/0.0, 0.0/0.0, 0.0/0.0, GMP_RNDN);
check53(-1.0/0.0, 0.0/0.0, 0.0/0.0, GMP_RNDN);
/* 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 with one argument NULL */
check53sin (1.00591265847407274059, 8.446508805292128885e-1, GMP_RNDN);
check53cos (1.00591265847407274059, 0.53531755997839769456, GMP_RNDN);
return 0;
}
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