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/* $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 <complex.h> |
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#include <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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} |