libm/upstream-netbsd/lib/libm/complex/catanl.c

/* $NetBSD: catanl.c,v 1.1 2014/10/10 00:48:18 christos Exp $ */

/*-
 * Copyright (c) 2007 The NetBSD Foundation, Inc.
 * All rights reserved.
 *
 * This code is derived from software written by Stephen L. Moshier.
 * It is redistributed by the NetBSD Foundation by permission of the author.
 *
 * Redistribution and use in source and binary forms, with or without
 * modification, are permitted provided that the following conditions
 * are met:
 * 1. Redistributions of source code must retain the above copyright
 *    notice, this list of conditions and the following disclaimer.
 * 2. Redistributions in binary form must reproduce the above copyright
 *    notice, this list of conditions and the following disclaimer in the
 *    documentation and/or other materials provided with the distribution.
 *
 * THIS SOFTWARE IS PROVIDED BY THE NETBSD FOUNDATION, INC. AND CONTRIBUTORS
 * ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
 * TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
 * PURPOSE ARE DISCLAIMED.  IN NO EVENT SHALL THE FOUNDATION OR CONTRIBUTORS
 * BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
 * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
 * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
 * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
 * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
 * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
 * POSSIBILITY OF SUCH DAMAGE.
 */

#include "../src/namespace.h"
#include <complex.h>
#include <math.h>
#include <float.h>
#include "cephes_subrl.h"

#ifdef __weak_alias
__weak_alias(catanl, _catanl)
#endif

#define MAXNUM LDBL_MAX

long double complex
catanl(long double complex z)
{
	long double complex w;
	long double a, t, x, x2, y;

	x = creall(z);
	y = cimagl(z);

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

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

	t = 0.5L * atan2l(2.0L * x, a);
	w = _redupil(t);

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

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

ovrf:
#if 0
	mtherr ("catanl", OVERFLOW);
#endif
	w = MAXNUM + MAXNUM * I;
	return w;
}