1 /* $OpenBSD: s_csinh.c,v 1.2 2011/07/08 19:25:31 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 /* LINTLIBRARY */ 19 20 /* csinh 21 * 22 * Complex hyperbolic sine 23 * 24 * 25 * 26 * SYNOPSIS: 27 * 28 * double complex csinh(); 29 * double complex z, w; 30 * 31 * w = csinh (z); 32 * 33 * DESCRIPTION: 34 * 35 * csinh z = (cexp(z) - cexp(-z))/2 36 * = sinh x * cos y + i cosh x * sin y . 37 * 38 * ACCURACY: 39 * 40 * Relative error: 41 * arithmetic domain # trials peak rms 42 * IEEE -10,+10 30000 3.1e-16 8.2e-17 43 * 44 */ 45 46 #include <sys/cdefs.h> 47 #include <complex.h> 48 #include <float.h> 49 #include <math.h> 50 51 double complex 52 csinh(double complex z) 53 { 54 double complex w; 55 double x, y; 56 57 x = creal(z); 58 y = cimag(z); 59 w = sinh (x) * cos (y) + (cosh (x) * sin (y)) * I; 60 return (w); 61 } 62 63 #if LDBL_MANT_DIG == 53 64 #ifdef lint 65 /* PROTOLIB1 */ 66 long double complex csinhl(long double complex); 67 #else /* lint */ 68 __weak_alias(csinhl, csinh); 69 #endif /* lint */ 70 #endif /* LDBL_MANT_DIG == 53 */ 71