1 /* $OpenBSD: s_csinhl.c,v 1.2 2011/07/20 19:28:33 martynas Exp $ */ 2 3 /* 4 * Copyright (c) 2008 Stephen L. Moshier <steve@moshier.net> 5 * 6 * Permission to use, copy, modify, and distribute this software for any 7 * purpose with or without fee is hereby granted, provided that the above 8 * copyright notice and this permission notice appear in all copies. 9 * 10 * THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES 11 * WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF 12 * MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR 13 * ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES 14 * WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN 15 * ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF 16 * OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE. 17 */ 18 19 /* csinhl 20 * 21 * Complex hyperbolic sine 22 * 23 * 24 * 25 * SYNOPSIS: 26 * 27 * long double complex csinhl(); 28 * long double complex z, w; 29 * 30 * w = csinhl (z); 31 * 32 * DESCRIPTION: 33 * 34 * csinh z = (cexp(z) - cexp(-z))/2 35 * = sinh x * cos y + i cosh x * sin y . 36 * 37 * ACCURACY: 38 * 39 * Relative error: 40 * arithmetic domain # trials peak rms 41 * IEEE -10,+10 30000 3.1e-16 8.2e-17 42 * 43 */ 44 45 #include <complex.h> 46 #include <math.h> 47 48 long double complex 49 csinhl(long double complex z) 50 { 51 long double complex w; 52 long double x, y; 53 54 x = creall(z); 55 y = cimagl(z); 56 w = sinhl(x) * cosl(y) + (coshl(x) * sinl(y)) * I; 57 return (w); 58 } 59