xref: /minix3/lib/libm/complex/ctan.c (revision 84d9c625bfea59e274550651111ae9edfdc40fbd)
1*84d9c625SLionel Sambuc /* $NetBSD: ctan.c,v 1.2 2011/07/03 06:45:24 mrg Exp $ */
22fe8fb19SBen Gras 
32fe8fb19SBen Gras /*-
42fe8fb19SBen Gras  * Copyright (c) 2007 The NetBSD Foundation, Inc.
52fe8fb19SBen Gras  * All rights reserved.
62fe8fb19SBen Gras  *
72fe8fb19SBen Gras  * This code is derived from software written by Stephen L. Moshier.
82fe8fb19SBen Gras  * It is redistributed by the NetBSD Foundation by permission of the author.
92fe8fb19SBen Gras  *
102fe8fb19SBen Gras  * Redistribution and use in source and binary forms, with or without
112fe8fb19SBen Gras  * modification, are permitted provided that the following conditions
122fe8fb19SBen Gras  * are met:
132fe8fb19SBen Gras  * 1. Redistributions of source code must retain the above copyright
142fe8fb19SBen Gras  *    notice, this list of conditions and the following disclaimer.
152fe8fb19SBen Gras  * 2. Redistributions in binary form must reproduce the above copyright
162fe8fb19SBen Gras  *    notice, this list of conditions and the following disclaimer in the
172fe8fb19SBen Gras  *    documentation and/or other materials provided with the distribution.
182fe8fb19SBen Gras  *
192fe8fb19SBen Gras  * THIS SOFTWARE IS PROVIDED BY THE NETBSD FOUNDATION, INC. AND CONTRIBUTORS
202fe8fb19SBen Gras  * ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
212fe8fb19SBen Gras  * TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
222fe8fb19SBen Gras  * PURPOSE ARE DISCLAIMED.  IN NO EVENT SHALL THE FOUNDATION OR CONTRIBUTORS
232fe8fb19SBen Gras  * BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
242fe8fb19SBen Gras  * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
252fe8fb19SBen Gras  * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
262fe8fb19SBen Gras  * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
272fe8fb19SBen Gras  * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
282fe8fb19SBen Gras  * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
292fe8fb19SBen Gras  * POSSIBILITY OF SUCH DAMAGE.
302fe8fb19SBen Gras  */
312fe8fb19SBen Gras 
322fe8fb19SBen Gras #include "../src/namespace.h"
332fe8fb19SBen Gras #include <complex.h>
342fe8fb19SBen Gras #include <math.h>
35*84d9c625SLionel Sambuc #include <float.h>
362fe8fb19SBen Gras #include "cephes_subr.h"
372fe8fb19SBen Gras 
38*84d9c625SLionel Sambuc #define MAXNUM DBL_MAX
392fe8fb19SBen Gras 
402fe8fb19SBen Gras double complex
ctan(double complex z)412fe8fb19SBen Gras ctan(double complex z)
422fe8fb19SBen Gras {
432fe8fb19SBen Gras 	double complex w;
442fe8fb19SBen Gras 	double d;
452fe8fb19SBen Gras 
462fe8fb19SBen Gras 	d = cos(2.0 * creal(z)) + cosh(2.0 * cimag(z));
472fe8fb19SBen Gras 
482fe8fb19SBen Gras 	if (fabs(d) < 0.25)
492fe8fb19SBen Gras 		d = _ctans(z);
502fe8fb19SBen Gras 
512fe8fb19SBen Gras 	if (d == 0.0) {
522fe8fb19SBen Gras 		/* mtherr ("ctan", OVERFLOW); */
532fe8fb19SBen Gras 		w = MAXNUM + MAXNUM * I;
542fe8fb19SBen Gras 		return w;
552fe8fb19SBen Gras 	}
562fe8fb19SBen Gras 
572fe8fb19SBen Gras 	w = sin(2.0 * creal(z)) / d + (sinh(2.0 * cimag(z)) / d) * I;
582fe8fb19SBen Gras 	return w;
592fe8fb19SBen Gras }
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