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/* $OpenBSD: s_ccos.c,v 1.7 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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/* ccos() |
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* |
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* Complex circular cosine |
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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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* double complex ccos(); |
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* double complex z, w; |
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* |
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* w = ccos (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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* |
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* w = cos x cosh y - i sin x sinh y. |
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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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* DEC -10,+10 8400 4.5e-17 1.3e-17 |
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* IEEE -10,+10 30000 3.8e-16 1.0e-16 |
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*/ |
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#include <complex.h> |
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#include <float.h> |
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#include <math.h> |
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/* calculate cosh and sinh */ |
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static void |
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_cchsh(double x, double *c, double *s) |
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{ |
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double e, ei; |
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if (fabs(x) <= 0.5) { |
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*c = cosh(x); |
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*s = sinh(x); |
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} |
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else { |
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e = exp(x); |
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ei = 0.5/e; |
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e = 0.5 * e; |
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*s = e - ei; |
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*c = e + ei; |
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} |
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} |
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double complex |
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ccos(double complex z) |
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{ |
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double complex w; |
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double ch, sh; |
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_cchsh( cimag(z), &ch, &sh ); |
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w = cos(creal (z)) * ch - (sin (creal (z)) * sh) * I; |
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return (w); |
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} |
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DEF_STD(ccos); |
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LDBL_MAYBE_UNUSED_CLONE(ccos); |