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GCC Code Coverage Report

Directory:	./		Exec	Total	Coverage
File:	lib/libm/src/s_clogf.c	Lines:	0	7	0.0 %
Date:	2017-11-13	Branches:	0	0	0.0 %


/*	$OpenBSD: s_clogf.c,v 1.3 2016/09/12 19:47:02 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.
 */

/*							clogf.c
 *
 *	Complex natural logarithm
 *
 *
 *
 * SYNOPSIS:
 *
 * void clogf();
 * cmplxf z, w;
 *
 * clogf( &z, &w );
 *
 *
 *
 * DESCRIPTION:
 *
 * Returns complex logarithm to the base e (2.718...) of
 * the complex argument x.
 *
 * If z = x + iy, r = sqrt( x**2 + y**2 ),
 * then
 *       w = log(r) + i arctan(y/x).
 *
 * The arctangent ranges from -PI to +PI.
 *
 *
 * ACCURACY:
 *
 *                      Relative error:
 * arithmetic   domain     # trials      peak         rms
 *    IEEE      -10,+10     30000       1.9e-6       6.2e-8
 *
 * Larger relative error can be observed for z near 1 +i0.
 * In IEEE arithmetic the peak absolute error is 3.1e-7.
 *
 */

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

float complex
clogf(float complex z)
{
	float complex w;
	float p, rr, x, y;

	x = crealf(z);
	y = cimagf(z);
	rr = atan2f(y, x);
	p = cabsf(z);
	p = logf(p);
	w = p + rr * I;
	return (w);
}
DEF_STD(clogf);


Generated by: GCOVR (Version 3.3)

Line	Branch	Exec	Source
1			/* $OpenBSD: s_clogf.c,v 1.3 2016/09/12 19:47:02 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			/* clogf.c
19			*
20			* Complex natural logarithm
21			*
22			*
23			*
24			* SYNOPSIS:
25			*
26			* void clogf();
27			* cmplxf z, w;
28			*
29			* clogf( &z, &w );
30			*
31			*
32			*
33			* DESCRIPTION:
34			*
35			* Returns complex logarithm to the base e (2.718...) of
36			* the complex argument x.
37			*
38			* If z = x + iy, r = sqrt( x2 + y2 ),
39			* then
40			* w = log(r) + i arctan(y/x).
41			*
42			* The arctangent ranges from -PI to +PI.
43			*
44			*
45			* ACCURACY:
46			*
47			* Relative error:
48			* arithmetic domain # trials peak rms
49			* IEEE -10,+10 30000 1.9e-6 6.2e-8
50			*
51			* Larger relative error can be observed for z near 1 +i0.
52			* In IEEE arithmetic the peak absolute error is 3.1e-7.
53			*
54			*/
55
56			#include <complex.h>
57			#include <math.h>
58
59			float complex
60			clogf(float complex z)
61			{
62			float complex w;
63			float p, rr, x, y;
64
65			x = crealf(z);
66			y = cimagf(z);
67			rr = atan2f(y, x);
68			p = cabsf(z);
69			p = logf(p);
70			w = p + rr * I;
71			return (w);
72			}
73			DEF_STD(clogf);