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/* $OpenBSD: s_cexpl.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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/* cexpl() |
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* |
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* Complex exponential function |
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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 cexpl(); |
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* long double complex z, w; |
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* |
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* w = cexpl( 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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* Returns the exponential of the complex argument z |
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* into the complex result w. |
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* |
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* If |
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* z = x + iy, |
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* r = exp(x), |
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* |
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* then |
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* |
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* w = r cos y + i r sin y. |
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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 8700 3.7e-17 1.1e-17 |
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* IEEE -10,+10 30000 3.0e-16 8.7e-17 |
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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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cexpl(long double complex z) |
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{ |
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long double complex w; |
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long double r; |
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r = expl(creall(z)); |
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w = r * cosl(cimagl(z)) + (r * sinl(cimagl(z))) * I; |
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return (w); |
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} |