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/* Test file for mpfr_cos.
Copyright (C) 2001, 2002 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 <stdio.h>
#include <stdlib.h>
#include <math.h>
#include "gmp.h"
#include "mpfr.h"
#include "mpfr-test.h"
void check53 _PROTO ((double, double, mp_rnd_t));
void
check53 (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_cos (c, xx, rnd_mode);
if (mpfr_get_d (c) != cos_x && (!isnan(cos_x) || !isnan(mpfr_get_d(c))))
{
fprintf (stderr, "mpfr_cos failed for x=%1.20e, rnd=%s\n", x,
mpfr_print_rnd_mode (rnd_mode));
fprintf (stderr, "mpfr_cos gives cos(x)=%1.20e, expected %1.20e\n",
mpfr_get_d (c), cos_x);
exit (1);
}
mpfr_clear (xx);
mpfr_clear (c);
}
#define TEST_FUNCTION mpfr_cos
#include "tgeneric.c"
int
main (int argc, char *argv[])
{
mpfr_t x, y;
mpfr_init (x);
mpfr_init (y);
mpfr_set_prec (x, 53);
mpfr_set_prec (y, 2);
mpfr_set_d (x, 9.81333845856942e-1, GMP_RNDN);
mpfr_cos (y, x, GMP_RNDN);
mpfr_set_prec (x, 30);
mpfr_set_prec (y, 30);
mpfr_set_str_raw (x, "1.00001010001101110010100010101e-1");
mpfr_cos (y, x, GMP_RNDU);
mpfr_set_str_raw (x, "1.10111100010101011110101010100e-1");
if (mpfr_cmp (y, x))
{
fprintf (stderr, "Error for prec=30, rnd=GMP_RNDU\n");
printf ("expected "); mpfr_print_binary (x); putchar ('\n');
printf (" got "); mpfr_print_binary (y); putchar ('\n');
exit (1);
}
mpfr_set_prec (x, 59);
mpfr_set_prec (y, 59);
mpfr_set_str_raw (x, "1.01101011101111010011111110111111111011011101100111100011e-3");
mpfr_cos (y, x, GMP_RNDU);
mpfr_set_str_raw (x, "1.1111011111110010001001001011100111101110100010000010010011e-1");
if (mpfr_cmp (y, x))
{
fprintf (stderr, "Error for prec=59, rnd=GMP_RNDU\n");
printf ("expected "); mpfr_print_binary (x); putchar ('\n');
printf (" got "); mpfr_print_binary (y); putchar ('\n');
exit (1);
}
mpfr_set_prec (x, 5);
mpfr_set_prec (y, 5);
mpfr_set_str_raw (x, "1.1100e-2");
mpfr_cos (y, x, GMP_RNDD);
mpfr_set_str_raw (x, "1.1100e-1");
if (mpfr_cmp (y, x))
{
fprintf (stderr, "Error for x=1.1100e-2, rnd=GMP_RNDD\n");
printf ("expected 1.1100e-1, got "); mpfr_print_binary (y); putchar ('\n');
exit (1);
}
check53(0.0/0.0, 0.0/0.0, GMP_RNDN);
check53(1.0/0.0, 0.0/0.0, GMP_RNDN);
check53(-1.0/0.0, 0.0/0.0, GMP_RNDN);
/* worst case from PhD thesis of Vincent Lefe`vre: x=8980155785351021/2^54 */
check53 (4.984987858808754279e-1, 8.783012931285841817e-1, GMP_RNDN);
check53 (4.984987858808754279e-1, 8.783012931285840707e-1, GMP_RNDD);
check53 (4.984987858808754279e-1, 8.783012931285840707e-1, GMP_RNDZ);
check53 (4.984987858808754279e-1, 8.783012931285841817e-1, GMP_RNDU);
check53 (1.00031274099908640274, 0.540039116973283217504, GMP_RNDN);
check53 (1.00229256850978698523, 0.538371757797526551137, GMP_RNDZ);
check53 (1.00288304857059840103, 0.537874062022526966409, GMP_RNDZ);
check53 (1.00591265847407274059, 0.53531755997839769456, GMP_RNDN);
check53 (1.00591265847407274059, 0.53531755997839769456, GMP_RNDN);
test_generic (2, 100, 100);
mpfr_clear (x);
mpfr_clear (y);
return 0;
}
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