amath/src/cplex/csinh.c

67 lines
2.2 KiB
C

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