mirror of https://gitlab.com/rnger/amath
70 lines
2.3 KiB
C
70 lines
2.3 KiB
C
/*-
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* Copyright (c) 2014-2017 Carsten Sonne Larsen <cs@innolan.net>
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* Copyright (c) 2007 The NetBSD Foundation, Inc.
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* All rights reserved.
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*
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* This code is derived from software written by Stephen L. Moshier.
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* It is redistributed by the NetBSD Foundation by permission of the author.
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*
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* Redistribution and use in source and binary forms, with or without
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* modification, are permitted provided that the following conditions
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* are met:
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* 1. Redistributions of source code must retain the above copyright
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* notice, this list of conditions and the following disclaimer.
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* 2. Redistributions in binary form must reproduce the above copyright
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* notice, this list of conditions and the following disclaimer in the
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* documentation and/or other materials provided with the distribution.
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*
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* THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
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* IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
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* OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
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* IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
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* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
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* NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
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* DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
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* THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
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* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
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* THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
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*
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* The original source code can be obtained from:
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* http://cvsweb.netbsd.org/bsdweb.cgi/src/lib/libm/complex/ctanh.c?rev=1.1
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*
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* Project homepage:
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* http://amath.innolan.net
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*
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*/
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#include "prim.h"
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#include "math.h"
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#include "complex.h"
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/**
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* @brief Hyperbolic tangent of a complex number
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* @version 1.1
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* @date 2007/08/20
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* @details
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* <pre>
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* a+bi
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* sinh(2.0 * a)
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* real = ------------------------------
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* cosh(2.0 * a) + cos(2.0 * b)
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*
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* sin(2.0 * b)
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* imag = ------------------------------
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* cosh(2.0 * a) + cos(2.0 * b)
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* </pre>
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*/
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complex ctanh(complex z)
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{
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complex w;
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double a, b;
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double d;
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a = creal(z);
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b = cimag(z);
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d = cosh(2.0 * a) + cos(2.0 * b);
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w = cpack((sinh(2.0 * a) / d), (sin(2.0 * b) / d));
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return w;
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}
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