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41 lines
1.7 KiB
C
41 lines
1.7 KiB
C
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/* mpfr_sech - Hyperbolic secant function = 1/cosh.
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Copyright 2005, 2006, 2007 Free Software Foundation, Inc.
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Contributed by the Arenaire and Cacao projects, INRIA.
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This file is part of the MPFR Library.
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The MPFR Library is free software; you can redistribute it and/or modify
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it under the terms of the GNU Lesser General Public License as published by
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the Free Software Foundation; either version 2.1 of the License, or (at your
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option) any later version.
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The MPFR Library is distributed in the hope that it will be useful, but
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WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
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or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public
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License for more details.
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You should have received a copy of the GNU Lesser General Public License
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along with the MPFR Library; see the file COPYING.LIB. If not, write to
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the Free Software Foundation, Inc., 51 Franklin St, Fifth Floor, Boston,
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MA 02110-1301, USA. */
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/* The hyperbolic secant function is defined by sech(x)=1/cosh(x):
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csc (NaN) = NaN.
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csc (+Inf) = csc (-Inf) = 0+.
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csc (+0) = csc (-0) = 1.
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*/
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#define FUNCTION mpfr_sech
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#define INVERSE mpfr_cosh
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#define ACTION_NAN(y) do { MPFR_SET_NAN(y); MPFR_RET_NAN; } while (1)
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#define ACTION_INF(y) return mpfr_set_ui (y, 0, GMP_RNDN)
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#define ACTION_ZERO(y,x) return mpfr_set_ui (y, 1, rnd_mode)
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/* for x near 0, sech(x) = 1 - x^2/2 + ..., more precisely |sech(x)-1| <= x^2/2
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for |x| <= 1. The tiny action is the same as for cos(x). */
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#define ACTION_TINY(y,x,r) \
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MPFR_FAST_COMPUTE_IF_SMALL_INPUT(y, __gmpfr_one, -2 * MPFR_GET_EXP (x), 1, \
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0, r, inexact = _inexact; goto end)
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#include "gen_inverse.h"
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