1*05a0b428SJohn Marino /* $OpenBSD: s_ccosh.c,v 1.6 2013/07/03 04:46:36 espie Exp $ */ 2*05a0b428SJohn Marino /* 3*05a0b428SJohn Marino * Copyright (c) 2008 Stephen L. Moshier <steve@moshier.net> 4*05a0b428SJohn Marino * 5*05a0b428SJohn Marino * Permission to use, copy, modify, and distribute this software for any 6*05a0b428SJohn Marino * purpose with or without fee is hereby granted, provided that the above 7*05a0b428SJohn Marino * copyright notice and this permission notice appear in all copies. 8*05a0b428SJohn Marino * 9*05a0b428SJohn Marino * THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES 10*05a0b428SJohn Marino * WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF 11*05a0b428SJohn Marino * MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR 12*05a0b428SJohn Marino * ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES 13*05a0b428SJohn Marino * WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN 14*05a0b428SJohn Marino * ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF 15*05a0b428SJohn Marino * OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE. 16*05a0b428SJohn Marino */ 17*05a0b428SJohn Marino 18*05a0b428SJohn Marino /* ccosh 19*05a0b428SJohn Marino * 20*05a0b428SJohn Marino * Complex hyperbolic cosine 21*05a0b428SJohn Marino * 22*05a0b428SJohn Marino * 23*05a0b428SJohn Marino * 24*05a0b428SJohn Marino * SYNOPSIS: 25*05a0b428SJohn Marino * 26*05a0b428SJohn Marino * double complex ccosh(); 27*05a0b428SJohn Marino * double complex z, w; 28*05a0b428SJohn Marino * 29*05a0b428SJohn Marino * w = ccosh (z); 30*05a0b428SJohn Marino * 31*05a0b428SJohn Marino * 32*05a0b428SJohn Marino * 33*05a0b428SJohn Marino * DESCRIPTION: 34*05a0b428SJohn Marino * 35*05a0b428SJohn Marino * ccosh(z) = cosh x cos y + i sinh x sin y . 36*05a0b428SJohn Marino * 37*05a0b428SJohn Marino * ACCURACY: 38*05a0b428SJohn Marino * 39*05a0b428SJohn Marino * Relative error: 40*05a0b428SJohn Marino * arithmetic domain # trials peak rms 41*05a0b428SJohn Marino * IEEE -10,+10 30000 2.9e-16 8.1e-17 42*05a0b428SJohn Marino * 43*05a0b428SJohn Marino */ 44*05a0b428SJohn Marino 45*05a0b428SJohn Marino #include <complex.h> 46*05a0b428SJohn Marino #include <float.h> 47*05a0b428SJohn Marino #include <math.h> 48*05a0b428SJohn Marino 49*05a0b428SJohn Marino double complex 50*05a0b428SJohn Marino ccosh(double complex z) 51*05a0b428SJohn Marino { 52*05a0b428SJohn Marino double complex w; 53*05a0b428SJohn Marino double x, y; 54*05a0b428SJohn Marino 55*05a0b428SJohn Marino x = creal(z); 56*05a0b428SJohn Marino y = cimag(z); 57*05a0b428SJohn Marino w = cosh (x) * cos (y) + (sinh (x) * sin (y)) * I; 58*05a0b428SJohn Marino return (w); 59*05a0b428SJohn Marino } 60*05a0b428SJohn Marino 61*05a0b428SJohn Marino #if LDBL_MANT_DIG == DBL_MANT_DIG 62*05a0b428SJohn Marino __strong_alias(ccoshl, ccosh); 63*05a0b428SJohn Marino #endif /* LDBL_MANT_DIG == DBL_MANT_DIG */ 64