61 lines
1.6 KiB
C
61 lines
1.6 KiB
C
/* $OpenBSD: s_ctanhl.c,v 1.2 2011/07/20 19:28:33 martynas 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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/* ctanhl
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*
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* Complex hyperbolic 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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* long double complex ctanhl();
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* long double complex z, w;
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*
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* w = ctanhl (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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* tanh z = (sinh 2x + i sin 2y) / (cosh 2x + cos 2y) .
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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 1.7e-14 2.4e-16
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*
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*/
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#include <openlibm_complex.h>
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#include <openlibm_math.h>
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long double complex
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ctanhl(long double complex z)
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{
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long double complex w;
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long double x, y, d;
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x = creall(z);
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y = cimagl(z);
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d = coshl(2.0L * x) + cosl(2.0L * y);
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w = sinhl(2.0L * x) / d + (sinl(2.0L * y) / d) * I;
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return (w);
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}
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