Head

GCC Code Coverage Report

Directory:	./		Exec	Total	Coverage
File:	lib/libm/src/s_casinf.c	Lines:	0	11	0.0 %
Date:	2017-11-07	Branches:	0	4	0.0 %


/*	$OpenBSD: s_casinf.c,v 1.5 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.
 */

/*							casinf()
 *
 *	Complex circular arc sine
 *
 *
 *
 * SYNOPSIS:
 *
 * void casinf();
 * cmplxf z, w;
 *
 * casinf( &z, &w );
 *
 *
 *
 * DESCRIPTION:
 *
 * Inverse complex sine:
 *
 *                               2
 * w = -i clog( iz + csqrt( 1 - z ) ).
 *
 *
 * ACCURACY:
 *
 *                      Relative error:
 * arithmetic   domain     # trials      peak         rms
 *    IEEE      -10,+10     30000       1.1e-5      1.5e-6
 * Larger relative error can be observed for z near zero.
 *
 */

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

float complex
casinf(float complex z)
{
	float complex w;
	float x, y;
	static float complex ca, ct, zz, z2;
	/*
	float cn, n;
	static float a, b, s, t, u, v, y2;
	static cmplxf sum;
	*/

	x = crealf(z);
	y = cimagf(z);

#if 0
	if(y == 0.0f) {
		if(fabsf(x) > 1.0f) {
			w = (float)M_PI_2 + 0.0f * I;
			/*mtherr( "casinf", DOMAIN );*/
		}
		else {
			w = asinf (x) + 0.0f * I;
		}
		return (w);
	}
#endif

	/* Power series expansion */
	/*
	b = cabsf(z);
	if(b < 0.125) {
		z2.r = (x - y) * (x + y);
		z2.i = 2.0 * x * y;

		cn = 1.0;
		n = 1.0;
		ca.r = x;
		ca.i = y;
		sum.r = x;
		sum.i = y;
		do {
			ct.r = z2.r * ca.r  -  z2.i * ca.i;
			ct.i = z2.r * ca.i  +  z2.i * ca.r;
			ca.r = ct.r;
			ca.i = ct.i;

			cn *= n;
			n += 1.0;
			cn /= n;
			n += 1.0;
			b = cn/n;

			ct.r *= b;
			ct.i *= b;
			sum.r += ct.r;
			sum.i += ct.i;
			b = fabsf(ct.r) + fabsf(ct.i);
		}
		while(b > MACHEPF);
		w->r = sum.r;
		w->i = sum.i;
		return;
	}
	*/


	ca = x + y * I;
	ct = ca * I;	/* iz */
	/* sqrt( 1 - z*z) */
	/* cmul( &ca, &ca, &zz ) */
	/*x * x  -  y * y */
	zz = (x - y) * (x + y) + (2.0f * x * y) * I;
	zz = 1.0f - crealf(zz) - cimagf(zz) * I;
	z2 = csqrtf (zz);

	zz = ct + z2;
	zz = clogf (zz);
	/* multiply by 1/i = -i */
	w = zz * (-1.0f * I);
	return (w);
}
DEF_STD(casinf);


Generated by: GCOVR (Version 3.3)

Line	Branch	Exec	Source
1			/* $OpenBSD: s_casinf.c,v 1.5 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			/* casinf()
19			*
20			* Complex circular arc sine
21			*
22			*
23			*
24			* SYNOPSIS:
25			*
26			* void casinf();
27			* cmplxf z, w;
28			*
29			* casinf( &z, &w );
30			*
31			*
32			*
33			* DESCRIPTION:
34			*
35			* Inverse complex sine:
36			*
37			* 2
38			* w = -i clog( iz + csqrt( 1 - z ) ).
39			*
40			*
41			* ACCURACY:
42			*
43			* Relative error:
44			* arithmetic domain # trials peak rms
45			* IEEE -10,+10 30000 1.1e-5 1.5e-6
46			* Larger relative error can be observed for z near zero.
47			*
48			*/
49
50			#include <complex.h>
51			#include <math.h>
52
53			float complex
54			casinf(float complex z)
55			{
56			float complex w;
57			float x, y;
58			static float complex ca, ct, zz, z2;
59			/*
60			float cn, n;
61			static float a, b, s, t, u, v, y2;
62			static cmplxf sum;
63			*/
64
65			x = crealf(z);
66			y = cimagf(z);
67
68			#if 0
69			if(y == 0.0f) {
70			if(fabsf(x) > 1.0f) {
71			w = (float)M_PI_2 + 0.0f * I;
72			/mtherr( "casinf", DOMAIN );/
73			}
74			else {
75			w = asinf (x) + 0.0f * I;
76			}
77			return (w);
78			}
79			#endif
80
81			/* Power series expansion */
82			/*
83			b = cabsf(z);
84			if(b < 0.125) {
85			z2.r = (x - y) * (x + y);
86			z2.i = 2.0 * x * y;
87
88			cn = 1.0;
89			n = 1.0;
90			ca.r = x;
91			ca.i = y;
92			sum.r = x;
93			sum.i = y;
94			do {
95			ct.r = z2.r * ca.r - z2.i * ca.i;
96			ct.i = z2.r * ca.i + z2.i * ca.r;
97			ca.r = ct.r;
98			ca.i = ct.i;
99
100			cn *= n;
101			n += 1.0;
102			cn /= n;
103			n += 1.0;
104			b = cn/n;
105
106			ct.r *= b;
107			ct.i *= b;
108			sum.r += ct.r;
109			sum.i += ct.i;
110			b = fabsf(ct.r) + fabsf(ct.i);
111			}
112			while(b > MACHEPF);
113			w->r = sum.r;
114			w->i = sum.i;
115			return;
116			}
117			*/
118
119
120			ca = x + y * I;
121			ct = ca * I; /* iz */
122			/* sqrt( 1 - zz) /
123			/* cmul( &ca, &ca, &zz ) */
124			/x x - y * y */
125			zz = (x - y) * (x + y) + (2.0f * x * y) * I;
126			zz = 1.0f - crealf(zz) - cimagf(zz) * I;
127			z2 = csqrtf (zz);
128
129			zz = ct + z2;
130			zz = clogf (zz);
131			/* multiply by 1/i = -i */
132			w = zz * (-1.0f * I);
133			return (w);
134			}
135			DEF_STD(casinf);