1 /* $OpenBSD: s_csinh.c,v 1.1 2008/09/07 20:36:09 martynas Exp $ */ 2 /* 3 * Copyright (c) 2008 Stephen L. Moshier <steve@moshier.net> 4 * 5 * Permission to use, copy, modify, and distribute this software for any 6 * purpose with or without fee is hereby granted, provided that the above 7 * copyright notice and this permission notice appear in all copies. 8 * 9 * THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES 10 * WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF 11 * MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR 12 * ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES 13 * WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN 14 * ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF 15 * OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE. 16 */ 17 18 /* csinh 19 * 20 * Complex hyperbolic sine 21 * 22 * 23 * 24 * SYNOPSIS: 25 * 26 * double complex csinh(); 27 * double complex z, w; 28 * 29 * w = csinh (z); 30 * 31 * DESCRIPTION: 32 * 33 * csinh z = (cexp(z) - cexp(-z))/2 34 * = sinh x * cos y + i cosh x * sin y . 35 * 36 * ACCURACY: 37 * 38 * Relative error: 39 * arithmetic domain # trials peak rms 40 * IEEE -10,+10 30000 3.1e-16 8.2e-17 41 * 42 */ 43 44 #include <complex.h> 45 #include <math.h> 46 47 double complex 48 csinh(double complex z) 49 { 50 double complex w; 51 double x, y; 52 53 x = creal(z); 54 y = cimag(z); 55 w = sinh (x) * cos (y) + (cosh (x) * sin (y)) * I; 56 return (w); 57 } 58