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/* Test file for mpfr_cot.
Copyright 2005-2019 Free Software Foundation, Inc.
Contributed by the AriC and Caramba 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 3 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.LESSER. If not, see
https://www.gnu.org/licenses/ or write to the Free Software Foundation, Inc.,
51 Franklin St, Fifth Floor, Boston, MA 02110-1301, USA. */
#include "mpfr-test.h"
#define TEST_FUNCTION mpfr_cot
#define REDUCE_EMAX 262143 /* otherwise arg. reduction is too expensive */
#include "tgeneric.c"
static void
check_specials (void)
{
mpfr_t x, y;
mpfr_init2 (x, 123L);
mpfr_init2 (y, 123L);
mpfr_set_nan (x);
mpfr_cot (y, x, MPFR_RNDN);
if (! mpfr_nan_p (y))
{
printf ("Error: cot(NaN) != NaN\n");
exit (1);
}
mpfr_set_inf (x, 1);
mpfr_cot (y, x, MPFR_RNDN);
if (! mpfr_nan_p (y))
{
printf ("Error: cot(Inf) != NaN\n");
exit (1);
}
mpfr_set_inf (x, -1);
mpfr_cot (y, x, MPFR_RNDN);
if (! mpfr_nan_p (y))
{
printf ("Error: cot(-Inf) != NaN\n");
exit (1);
}
/* cot(+/-0) = +/-Inf */
mpfr_set_ui (x, 0, MPFR_RNDN);
mpfr_cot (y, x, MPFR_RNDN);
if (! (mpfr_inf_p (y) && mpfr_sgn (y) > 0))
{
printf ("Error: cot(+0) != +Inf\n");
exit (1);
}
mpfr_neg (x, x, MPFR_RNDN);
mpfr_cot (y, x, MPFR_RNDN);
if (! (mpfr_inf_p (y) && mpfr_sgn (y) < 0))
{
printf ("Error: cot(-0) != -Inf\n");
exit (1);
}
mpfr_clear (x);
mpfr_clear (y);
}
static void
two2emin (mpfr_exp_t e)
{
mpfr_exp_t old_emin, old_emax;
mpfr_t x, y;
int i, rnd;
old_emin = mpfr_get_emin ();
old_emax = mpfr_get_emax ();
if (mpfr_set_emin (-e) || mpfr_set_emax (e))
{
printf ("Can't change exponent range\n");
exit (1);
}
mpfr_inits2 (53, x, y, (mpfr_ptr) 0);
for (i = -4; i <= 4; i++)
RND_LOOP (rnd)
{
mpfr_set_si (y, i, MPFR_RNDN);
mpfr_ui_div (y, 1, y, (mpfr_rnd_t) rnd); /* no overflow/underflow */
mpfr_set_si_2exp (x, i, -e, MPFR_RNDN);
if (ABS (i) != 3) /* not a power of 2 (not 0 either) */
mpfr_sub (y, y, x, (mpfr_rnd_t) rnd); /* no overflow/underflow */
mpfr_set_ui_2exp (x, 1, -e, MPFR_RNDN);
mpfr_div (y, y, x, (mpfr_rnd_t) rnd); /* 1/x - SIGN(x).epsilon */
mpfr_set_si_2exp (x, i, -e, MPFR_RNDN);
mpfr_cot (x, x, (mpfr_rnd_t) rnd);
if (! mpfr_equal_p (x, y) && rnd != MPFR_RNDF)
{
printf ("Error in two2emin for i = %d and rnd = %s\n",
i, mpfr_print_rnd_mode ((mpfr_rnd_t) rnd));
printf ("Got ");
mpfr_dump (x);
printf ("instead of ");
mpfr_dump (y);
exit (1);
}
}
mpfr_clears (x, y, (mpfr_ptr) 0);
mpfr_set_emin (old_emin);
mpfr_set_emax (old_emax);
}
int
main (int argc, char *argv[])
{
tests_start_mpfr ();
check_specials ();
two2emin (256);
two2emin (MPFR_EMAX_DEFAULT);
if (MPFR_EMAX_MAX != MPFR_EMAX_DEFAULT)
two2emin (MPFR_EMAX_MAX);
test_generic (MPFR_PREC_MIN, 200, 5);
tests_end_mpfr ();
return 0;
}
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