1*05a0b428SJohn Marino /* $OpenBSD: s_ccoshl.c,v 1.2 2011/07/20 19:28:33 martynas Exp $ */ 2*05a0b428SJohn Marino 3*05a0b428SJohn Marino /* 4*05a0b428SJohn Marino * Copyright (c) 2008 Stephen L. Moshier <steve@moshier.net> 5*05a0b428SJohn Marino * 6*05a0b428SJohn Marino * Permission to use, copy, modify, and distribute this software for any 7*05a0b428SJohn Marino * purpose with or without fee is hereby granted, provided that the above 8*05a0b428SJohn Marino * copyright notice and this permission notice appear in all copies. 9*05a0b428SJohn Marino * 10*05a0b428SJohn Marino * THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES 11*05a0b428SJohn Marino * WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF 12*05a0b428SJohn Marino * MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR 13*05a0b428SJohn Marino * ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES 14*05a0b428SJohn Marino * WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN 15*05a0b428SJohn Marino * ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF 16*05a0b428SJohn Marino * OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE. 17*05a0b428SJohn Marino */ 18*05a0b428SJohn Marino 19*05a0b428SJohn Marino /* ccoshl 20*05a0b428SJohn Marino * 21*05a0b428SJohn Marino * Complex hyperbolic cosine 22*05a0b428SJohn Marino * 23*05a0b428SJohn Marino * 24*05a0b428SJohn Marino * 25*05a0b428SJohn Marino * SYNOPSIS: 26*05a0b428SJohn Marino * 27*05a0b428SJohn Marino * long double complex ccoshl(); 28*05a0b428SJohn Marino * long double complex z, w; 29*05a0b428SJohn Marino * 30*05a0b428SJohn Marino * w = ccoshl (z); 31*05a0b428SJohn Marino * 32*05a0b428SJohn Marino * 33*05a0b428SJohn Marino * 34*05a0b428SJohn Marino * DESCRIPTION: 35*05a0b428SJohn Marino * 36*05a0b428SJohn Marino * ccosh(z) = cosh x cos y + i sinh x sin y . 37*05a0b428SJohn Marino * 38*05a0b428SJohn Marino * ACCURACY: 39*05a0b428SJohn Marino * 40*05a0b428SJohn Marino * Relative error: 41*05a0b428SJohn Marino * arithmetic domain # trials peak rms 42*05a0b428SJohn Marino * IEEE -10,+10 30000 2.9e-16 8.1e-17 43*05a0b428SJohn Marino * 44*05a0b428SJohn Marino */ 45*05a0b428SJohn Marino 46*05a0b428SJohn Marino #include <complex.h> 47*05a0b428SJohn Marino #include <math.h> 48*05a0b428SJohn Marino 49*05a0b428SJohn Marino long double complex 50*05a0b428SJohn Marino ccoshl(long double complex z) 51*05a0b428SJohn Marino { 52*05a0b428SJohn Marino long double complex w; 53*05a0b428SJohn Marino long double x, y; 54*05a0b428SJohn Marino 55*05a0b428SJohn Marino x = creall(z); 56*05a0b428SJohn Marino y = cimagl(z); 57*05a0b428SJohn Marino w = coshl(x) * cosl(y) + (sinhl(x) * sinl(y)) * I; 58*05a0b428SJohn Marino return (w); 59*05a0b428SJohn Marino } 60