9d8b5fa74e
Most complex function implementations are from the "c9x-complex" library, originating from the "cephes" math library, see http://www.netlib.org/cephes/, from Stephen L. Moshier, incorporated and redistributed with the NetBSD license by permission of the author. Error behaviour and other boundary conditions (branch cuts) need to be looked at. For namespace sanity, I've done the rename/weak alias procedure to most of the exported functions which are also used internally. Didn't do so for sin/cos(f) yet because assembler implementations use them directly, and renaming functions shared between the main libm and the machine specific "overlay" might raise binary compatibility issues.
58 lines
2.0 KiB
C
58 lines
2.0 KiB
C
/* $NetBSD: cpowf.c,v 1.1 2007/08/20 16:01:36 drochner Exp $ */
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/*-
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* Copyright (c) 2007 The NetBSD Foundation, Inc.
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* All rights reserved.
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*
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* This code is derived from software written by Stephen L. Moshier.
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* It is redistributed by the NetBSD Foundation by permission of the author.
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*
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* Redistribution and use in source and binary forms, with or without
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* modification, are permitted provided that the following conditions
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* are met:
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* 1. Redistributions of source code must retain the above copyright
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* notice, this list of conditions and the following disclaimer.
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* 2. Redistributions in binary form must reproduce the above copyright
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* notice, this list of conditions and the following disclaimer in the
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* documentation and/or other materials provided with the distribution.
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*
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* THIS SOFTWARE IS PROVIDED BY THE NETBSD FOUNDATION, INC. AND CONTRIBUTORS
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* ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
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* TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
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* PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE FOUNDATION OR CONTRIBUTORS
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* BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
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* CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
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* SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
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* INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
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* CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
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* ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
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* POSSIBILITY OF SUCH DAMAGE.
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*/
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#include "../src/namespace.h"
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#include <complex.h>
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#include <math.h>
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float complex
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cpowf(float complex a, float complex z)
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{
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float complex w;
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float x, y, r, theta, absa, arga;
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x = crealf(z);
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y = cimagf(z);
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absa = cabsf(a);
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if (absa == 0.0f) {
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return (0.0f + 0.0f * I);
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}
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arga = cargf(a);
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r = powf(absa, x);
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theta = x * arga;
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if (y != 0.0f) {
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r = r * expf(-y * arga);
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theta = theta + y * logf(absa);
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}
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w = r * cosf(theta) + (r * sinf(theta)) * I;
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return w;
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}
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