GCC Code Coverage Report
Directory: ./ Exec Total Coverage
File: lib/libm/src/s_catanf.c Lines: 0 24 0.0 %
Date: 2017-11-13 Branches: 0 8 0.0 %

Line Branch Exec Source
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/*	$OpenBSD: s_catanf.c,v 1.3 2016/09/12 19:47:02 guenther Exp $	*/
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/*
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 * Copyright (c) 2008 Stephen L. Moshier <steve@moshier.net>
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 *
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 * Permission to use, copy, modify, and distribute this software for any
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 * purpose with or without fee is hereby granted, provided that the above
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 * copyright notice and this permission notice appear in all copies.
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 *
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 * THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
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 * WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
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 * MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR
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 * ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
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 * WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN
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 * ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF
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 * OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
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 */
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/*							catanf()
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 *
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 *	Complex circular arc tangent
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 *
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 *
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 *
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 * SYNOPSIS:
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 *
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 * float complex catanf();
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 * float complex z, w;
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 *
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 * w = catanf( z );
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 *
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 *
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 *
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 * DESCRIPTION:
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 *
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 * If
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 *     z = x + iy,
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 *
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 * then
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 *          1       (    2x     )
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 * Re w  =  - arctan(-----------)  +  k PI
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 *          2       (     2    2)
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 *                  (1 - x  - y )
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 *
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 *               ( 2         2)
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 *          1    (x  +  (y+1) )
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 * Im w  =  - log(------------)
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 *          4    ( 2         2)
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 *               (x  +  (y-1) )
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 *
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 * Where k is an arbitrary integer.
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 *
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 *
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 *
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 * ACCURACY:
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 *
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 *                      Relative error:
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 * arithmetic   domain     # trials      peak         rms
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 *    IEEE      -10,+10     30000        2.3e-6      5.2e-8
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 *
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 */
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#include <complex.h>
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#include <math.h>
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#define MAXNUMF 1.0e38F
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static const double DP1 = 3.140625;
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static const double DP2 = 9.67502593994140625E-4;
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static const double DP3 = 1.509957990978376432E-7;
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static float
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_redupif(float xx)
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{
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	float x, t;
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	long i;
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	x = xx;
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	t = x/(float)M_PI;
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	if(t >= 0.0)
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		t += 0.5;
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	else
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		t -= 0.5;
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	i = t;	/* the multiple */
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	t = i;
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	t = ((x - t * DP1) - t * DP2) - t * DP3;
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	return(t);
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}
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float complex
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catanf(float complex z)
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{
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	float complex w;
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	float a, t, x, x2, y;
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	x = crealf(z);
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	y = cimagf(z);
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	if((x == 0.0f) && (y > 1.0f))
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		goto ovrf;
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	x2 = x * x;
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	a = 1.0f - x2 - (y * y);
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	if (a == 0.0f)
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		goto ovrf;
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	t = 0.5f * atan2f(2.0f * x, a);
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	w = _redupif(t);
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	t = y - 1.0f;
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	a = x2 + (t * t);
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	if(a == 0.0f)
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		goto ovrf;
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	t = y + 1.0f;
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	a = (x2 + (t * t))/a;
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	w = w + (0.25f * logf (a)) * I;
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	return (w);
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ovrf:
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	/*mtherr( "catanf", OVERFLOW );*/
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	w = MAXNUMF + MAXNUMF * I;
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	return (w);
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}
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DEF_STD(catanf);