1 /* $OpenBSD: s_cpow.c,v 1.6 2013/07/03 04:46:36 espie Exp $ */
3 * Copyright (c) 2008 Stephen L. Moshier <steve@moshier.net>
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.
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.
20 * Complex power function
26 * double complex cpow();
27 * double complex a, z, w;
35 * Raises complex A to the complex Zth power.
36 * Definition is per AMS55 # 4.2.8,
37 * analytically equivalent to cpow(a,z) = cexp(z clog(a)).
42 * arithmetic domain # trials peak rms
43 * IEEE -10,+10 30000 9.4e-15 1.5e-15
52 cpow(double complex a, double complex z)
55 double x, y, r, theta, absa, arga;
61 return (0.0 + 0.0 * I);
67 r = r * exp (-y * arga);
68 theta = theta + y * log (absa);
70 w = r * cos (theta) + (r * sin (theta)) * I;
74 #if LDBL_MANT_DIG == DBL_MANT_DIG
75 __strong_alias(cpowl, cpow);
76 #endif /* LDBL_MANT_DIG == DBL_MANT_DIG */