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GCC Code Coverage Report

Directory:	./		Exec	Total	Coverage
File:	lib/libm/src/s_catanf.c	Lines:	0	24	0.0 %
Date:	2017-11-07	Branches:	0	8	0.0 %


/*	$OpenBSD: s_catanf.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.
 */

/*							catanf()
 *
 *	Complex circular arc tangent
 *
 *
 *
 * SYNOPSIS:
 *
 * float complex catanf();
 * float complex z, w;
 *
 * w = catanf( z );
 *
 *
 *
 * DESCRIPTION:
 *
 * If
 *     z = x + iy,
 *
 * then
 *          1       (    2x     )
 * Re w  =  - arctan(-----------)  +  k PI
 *          2       (     2    2)
 *                  (1 - x  - y )
 *
 *               ( 2         2)
 *          1    (x  +  (y+1) )
 * Im w  =  - log(------------)
 *          4    ( 2         2)
 *               (x  +  (y-1) )
 *
 * Where k is an arbitrary integer.
 *
 *
 *
 * ACCURACY:
 *
 *                      Relative error:
 * arithmetic   domain     # trials      peak         rms
 *    IEEE      -10,+10     30000        2.3e-6      5.2e-8
 *
 */

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

#define MAXNUMF 1.0e38F

static const double DP1 = 3.140625;
static const double DP2 = 9.67502593994140625E-4;
static const double DP3 = 1.509957990978376432E-7;

static float
_redupif(float xx)
{
	float x, t;
	long i;

	x = xx;
	t = x/(float)M_PI;
	if(t >= 0.0)
		t += 0.5;
	else
		t -= 0.5;

	i = t;	/* the multiple */
	t = i;
	t = ((x - t * DP1) - t * DP2) - t * DP3;
	return(t);
}

float complex
catanf(float complex z)
{
	float complex w;
	float a, t, x, x2, y;

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

	if((x == 0.0f) && (y > 1.0f))
		goto ovrf;

	x2 = x * x;
	a = 1.0f - x2 - (y * y);
	if (a == 0.0f)
		goto ovrf;

	t = 0.5f * atan2f(2.0f * x, a);
	w = _redupif(t);

	t = y - 1.0f;
	a = x2 + (t * t);
	if(a == 0.0f)
		goto ovrf;

	t = y + 1.0f;
	a = (x2 + (t * t))/a;
	w = w + (0.25f * logf (a)) * I;
	return (w);

ovrf:
	/*mtherr( "catanf", OVERFLOW );*/
	w = MAXNUMF + MAXNUMF * I;
	return (w);
}
DEF_STD(catanf);


Generated by: GCOVR (Version 3.3)

Line	Branch	Exec	Source
1			/* $OpenBSD: s_catanf.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			/* catanf()
19			*
20			* Complex circular arc tangent
21			*
22			*
23			*
24			* SYNOPSIS:
25			*
26			* float complex catanf();
27			* float complex z, w;
28			*
29			* w = catanf( z );
30			*
31			*
32			*
33			* DESCRIPTION:
34			*
35			* If
36			* z = x + iy,
37			*
38			* then
39			* 1 ( 2x )
40			* Re w = - arctan(-----------) + k PI
41			* 2 ( 2 2)
42			* (1 - x - y )
43			*
44			* ( 2 2)
45			* 1 (x + (y+1) )
46			* Im w = - log(------------)
47			* 4 ( 2 2)
48			* (x + (y-1) )
49			*
50			* Where k is an arbitrary integer.
51			*
52			*
53			*
54			* ACCURACY:
55			*
56			* Relative error:
57			* arithmetic domain # trials peak rms
58			* IEEE -10,+10 30000 2.3e-6 5.2e-8
59			*
60			*/
61
62			#include <complex.h>
63			#include <math.h>
64
65			#define MAXNUMF 1.0e38F
66
67			static const double DP1 = 3.140625;
68			static const double DP2 = 9.67502593994140625E-4;
69			static const double DP3 = 1.509957990978376432E-7;
70
71			static float
72			_redupif(float xx)
73			{
74			float x, t;
75			long i;
76
77			x = xx;
78			t = x/(float)M_PI;
79			if(t >= 0.0)
80			t += 0.5;
81			else
82			t -= 0.5;
83
84			i = t; /* the multiple */
85			t = i;
86			t = ((x - t * DP1) - t * DP2) - t * DP3;
87			return(t);
88			}
89
90			float complex
91			catanf(float complex z)
92			{
93			float complex w;
94			float a, t, x, x2, y;
95
96			x = crealf(z);
97			y = cimagf(z);
98
99			if((x == 0.0f) && (y > 1.0f))
100			goto ovrf;
101
102			x2 = x * x;
103			a = 1.0f - x2 - (y * y);
104			if (a == 0.0f)
105			goto ovrf;
106
107			t = 0.5f * atan2f(2.0f * x, a);
108			w = _redupif(t);
109
110			t = y - 1.0f;
111			a = x2 + (t * t);
112			if(a == 0.0f)
113			goto ovrf;
114
115			t = y + 1.0f;
116			a = (x2 + (t * t))/a;
117			w = w + (0.25f * logf (a)) * I;
118			return (w);
119
120			ovrf:
121			/mtherr( "catanf", OVERFLOW );/
122			w = MAXNUMF + MAXNUMF * I;
123			return (w);
124			}
125			DEF_STD(catanf);