75 lines
1.9 KiB
C
75 lines
1.9 KiB
C
/* $OpenBSD: s_cpowl.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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/* cpowl
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*
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* Complex power 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 cpowl();
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* long double complex a, z, w;
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*
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* w = cpowl (a, 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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* Raises complex A to the complex Zth power.
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* Definition is per AMS55 # 4.2.8,
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* analytically equivalent to cpow(a,z) = cexp(z clog(a)).
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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 9.4e-15 1.5e-15
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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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#include "math_private.h"
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OLM_DLLEXPORT long double complex
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cpowl(long double complex a, long double complex z)
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{
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long double complex w;
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long double x, y, r, theta, absa, arga;
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x = creall(z);
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y = cimagl(z);
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absa = cabsl(a);
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if (absa == 0.0L) {
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return (0.0L + 0.0L * I);
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}
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arga = cargl(a);
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r = powl(absa, x);
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theta = x * arga;
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if (y != 0.0L) {
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r = r * expl(-y * arga);
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theta = theta + y * logl(absa);
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}
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w = r * cosl(theta) + (r * sinl(theta)) * I;
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return (w);
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}
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