1 /* $OpenBSD: s_cexpl.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 /* cexpl() 20 * 21 * Complex exponential function 22 * 23 * 24 * 25 * SYNOPSIS: 26 * 27 * long double complex cexpl(); 28 * long double complex z, w; 29 * 30 * w = cexpl( z ); 31 * 32 * 33 * 34 * DESCRIPTION: 35 * 36 * Returns the exponential of the complex argument z 37 * into the complex result w. 38 * 39 * If 40 * z = x + iy, 41 * r = exp(x), 42 * 43 * then 44 * 45 * w = r cos y + i r sin y. 46 * 47 * 48 * ACCURACY: 49 * 50 * Relative error: 51 * arithmetic domain # trials peak rms 52 * DEC -10,+10 8700 3.7e-17 1.1e-17 53 * IEEE -10,+10 30000 3.0e-16 8.7e-17 54 * 55 */ 56 57 #include <complex.h> 58 #include <math.h> 59 60 long double complex 61 cexpl(long double complex z) 62 { 63 long double complex w; 64 long double r; 65 66 r = expl(creall(z)); 67 w = r * cosl(cimagl(z)) + (r * sinl(cimagl(z))) * I; 68 return (w); 69 } 70