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 %

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( x**2 + y**2 ),
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);