1/*	$OpenBSD: s_cexpf.c,v 1.2 2010/07/18 18:42:26 guenther 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/*							cexpf()
19 *
20 *	Complex exponential function
21 *
22 *
23 *
24 * SYNOPSIS:
25 *
26 * void cexpf();
27 * cmplxf z, w;
28 *
29 * cexpf( &z, &w );
30 *
31 *
32 *
33 * DESCRIPTION:
34 *
35 * Returns the exponential of the complex argument z
36 * into the complex result w.
37 *
38 * If
39 *     z = x + iy,
40 *     r = exp(x),
41 *
42 * then
43 *
44 *     w = r cos y + i r sin y.
45 *
46 *
47 * ACCURACY:
48 *
49 *                      Relative error:
50 * arithmetic   domain     # trials      peak         rms
51 *    IEEE      -10,+10     30000       1.4e-7      4.5e-8
52 *
53 */
54
55#include <complex.h>
56#include <math.h>
57
58float complex
59cexpf(float complex z)
60{
61	float complex w;
62	float r;
63
64	r = expf( crealf(z) );
65	w = r * cosf( cimagf(z) ) +  r * sinf( cimagf(z) ) * I;
66	return (w);
67}
68