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/* mpfr_sech - Hyperbolic secant function = 1/cosh.
Copyright 2005-2021 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. */
/* The hyperbolic secant function is defined by sech(x)=1/cosh(x):
csc (NaN) = NaN.
csc (+Inf) = csc (-Inf) = 0+.
csc (+0) = csc (-0) = 1.
*/
#define FUNCTION mpfr_sech
#define INVERSE mpfr_cosh
#define ACTION_NAN(y) do { MPFR_SET_NAN(y); MPFR_RET_NAN; } while (1)
#define ACTION_INF(y) return mpfr_set_ui (y, 0, MPFR_RNDN)
#define ACTION_ZERO(y,x) return mpfr_set_ui (y, 1, rnd_mode)
/* for x near 0, sech(x) = 1 - x^2/2 + ..., more precisely |sech(x)-1| <= x^2/2
for |x| <= 1. The tiny action is the same as for cos(x). */
#define ACTION_TINY(y,x,r) \
MPFR_FAST_COMPUTE_IF_SMALL_INPUT(y, __gmpfr_one, -2 * MPFR_GET_EXP (x), 1, \
0, r, inexact = _inexact; goto end)
#include "gen_inverse.h"
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