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GCC Code Coverage Report

Directory:	./		Exec	Total	Coverage
File:	lib/libm/src/s_csin.c	Lines:	0	11	0.0 %
Date:	2017-11-07	Branches:	0	2	0.0 %


/*	$OpenBSD: s_csin.c,v 1.7 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.
 */

/*							csin()
 *
 *	Complex circular sine
 *
 *
 *
 * SYNOPSIS:
 *
 * double complex csin();
 * double complex z, w;
 *
 * w = csin (z);
 *
 *
 *
 * DESCRIPTION:
 *
 * If
 *     z = x + iy,
 *
 * then
 *
 *     w = sin x  cosh y  +  i cos x sinh y.
 *
 * csin(z) = -i csinh(iz).
 *
 * ACCURACY:
 *
 *                      Relative error:
 * arithmetic   domain     # trials      peak         rms
 *    DEC       -10,+10      8400       5.3e-17     1.3e-17
 *    IEEE      -10,+10     30000       3.8e-16     1.0e-16
 * Also tested by csin(casin(z)) = z.
 *
 */

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

/* calculate cosh and sinh */

static void
cchsh(double x, double *c, double *s)
{
	double e, ei;

	if (fabs(x) <= 0.5) {
		*c = cosh(x);
		*s = sinh(x);
	}
	else {
		e = exp(x);
		ei = 0.5/e;
		e = 0.5 * e;
		*s = e - ei;
		*c = e + ei;
	}
}

double complex
csin(double complex z)
{
	double complex w;
	double ch, sh;

	cchsh( cimag (z), &ch, &sh );
	w = sin (creal(z)) * ch + (cos (creal(z)) * sh) * I;
	return (w);
}
DEF_STD(csin);
LDBL_MAYBE_UNUSED_CLONE(csin);


Generated by: GCOVR (Version 3.3)

Line	Branch	Exec	Source
1			/* $OpenBSD: s_csin.c,v 1.7 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			/* csin()
19			*
20			* Complex circular sine
21			*
22			*
23			*
24			* SYNOPSIS:
25			*
26			* double complex csin();
27			* double complex z, w;
28			*
29			* w = csin (z);
30			*
31			*
32			*
33			* DESCRIPTION:
34			*
35			* If
36			* z = x + iy,
37			*
38			* then
39			*
40			* w = sin x cosh y + i cos x sinh y.
41			*
42			* csin(z) = -i csinh(iz).
43			*
44			* ACCURACY:
45			*
46			* Relative error:
47			* arithmetic domain # trials peak rms
48			* DEC -10,+10 8400 5.3e-17 1.3e-17
49			* IEEE -10,+10 30000 3.8e-16 1.0e-16
50			* Also tested by csin(casin(z)) = z.
51			*
52			*/
53
54			#include <complex.h>
55			#include <float.h>
56			#include <math.h>
57
58			/* calculate cosh and sinh */
59
60			static void
61			cchsh(double x, double c, double s)
62			{
63			double e, ei;
64
65			if (fabs(x) <= 0.5) {
66			*c = cosh(x);
67			*s = sinh(x);
68			}
69			else {
70			e = exp(x);
71			ei = 0.5/e;
72			e = 0.5 * e;
73			*s = e - ei;
74			*c = e + ei;
75			}
76			}
77
78			double complex
79			csin(double complex z)
80			{
81			double complex w;
82			double ch, sh;
83
84			cchsh( cimag (z), &ch, &sh );
85			w = sin (creal(z)) * ch + (cos (creal(z)) * sh) * I;
86			return (w);
87			}
88			DEF_STD(csin);
89			LDBL_MAYBE_UNUSED_CLONE(csin);