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GCC Code Coverage Report

Directory:	./		Exec	Total	Coverage
File:	lib/libm/src/s_cpowf.c	Lines:	0	13	0.0 %
Date:	2017-11-13	Branches:	0	4	0.0 %


/*	$OpenBSD: s_cpowf.c,v 1.2 2010/07/18 18:42:26 guenther Exp $	*/
/*
 * Copyright (c) 2008 Stephen L. Moshier <steve@moshier.net>
 *
 * Permission to use, copy, modify, and distribute this software for any
 * purpose with or without fee is hereby granted, provided that the above
 * copyright notice and this permission notice appear in all copies.
 *
 * THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
 * WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
 * MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR
 * ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
 * WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN
 * ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF
 * OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
 */

/*							cpowf
 *
 *	Complex power function
 *
 *
 *
 * SYNOPSIS:
 *
 * float complex cpowf();
 * float complex a, z, w;
 *
 * w = cpowf (a, z);
 *
 *
 *
 * DESCRIPTION:
 *
 * Raises complex A to the complex Zth power.
 * Definition is per AMS55 # 4.2.8,
 * analytically equivalent to cpow(a,z) = cexp(z clog(a)).
 *
 * ACCURACY:
 *
 *                      Relative error:
 * arithmetic   domain     # trials      peak         rms
 *    IEEE      -10,+10     30000       9.4e-15     1.5e-15
 *
 */

#include <complex.h>
#include <math.h>

float complex
cpowf(float complex a, float complex z)
{
	float complex w;
	float x, y, r, theta, absa, arga;

	x = crealf(z);
	y = cimagf(z);
	absa = cabsf (a);
	if (absa == 0.0f) {
		return (0.0f + 0.0f * I);
	}
	arga = cargf (a);
	r = powf (absa, x);
	theta = x * arga;
	if (y != 0.0f) {
		r = r * expf (-y * arga);
		theta = theta + y * logf (absa);
	}
	w = r * cosf (theta) + (r * sinf (theta)) * I;
	return (w);
}


Generated by: GCOVR (Version 3.3)

Line	Branch	Exec	Source
1			/* $OpenBSD: s_cpowf.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			/* cpowf
19			*
20			* Complex power function
21			*
22			*
23			*
24			* SYNOPSIS:
25			*
26			* float complex cpowf();
27			* float complex a, z, w;
28			*
29			* w = cpowf (a, z);
30			*
31			*
32			*
33			* DESCRIPTION:
34			*
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)).
38			*
39			* ACCURACY:
40			*
41			* Relative error:
42			* arithmetic domain # trials peak rms
43			* IEEE -10,+10 30000 9.4e-15 1.5e-15
44			*
45			*/
46
47			#include <complex.h>
48			#include <math.h>
49
50			float complex
51			cpowf(float complex a, float complex z)
52			{
53			float complex w;
54			float x, y, r, theta, absa, arga;
55
56			x = crealf(z);
57			y = cimagf(z);
58			absa = cabsf (a);
59			if (absa == 0.0f) {
60			return (0.0f + 0.0f * I);
61			}
62			arga = cargf (a);
63			r = powf (absa, x);
64			theta = x * arga;
65			if (y != 0.0f) {
66			r = r * expf (-y * arga);
67			theta = theta + y * logf (absa);
68			}
69			w = r * cosf (theta) + (r * sinf (theta)) * I;
70			return (w);
71			}