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authorRodrigo Osorio <rodrigo@FreeBSD.org>2017-12-03 23:12:34 +0000
committerRodrigo Osorio <rodrigo@FreeBSD.org>2017-12-03 23:12:34 +0000
commit646a05f6f8120714655b2ef6d75e60047694b072 (patch)
treeb03853dfc62e7d499fb3895376fcd1a661b1fade /math/nfft/files/cpow.c
parentUpdate to 7.58 (diff)
Add new port math/nfft
NFFT is a software library, written in C, for computing non-equispaced fast Fourier transforms and related variations. It implements the following transforms: 1. Non-equispaced fast Fourier transform (NFFT) - forward transform (NFFT), i.e. frequency to time/space domain - adjoint transform (adjoint NFFT), i.e. time/space to frequency domain 2. Generalisations - to arbitrary nodes in time and frequency domain (NNFFT) - to real-valued data, i.e. (co)sine transforms, (NFCT, NFST) - to the sphere S^2 (NFSFT) - to the rotation group (NFSOFT) - to the hyperbolic cross (NSFFT) 3. Generalised inverse transformations based on iterative methods, e.g. CGNR/CGNE PR: 223429 Submitted by: Michael Danilov <mike.d.ft402@gmail.com>
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+/* $NetBSD: cpow.c,v 1.1 2007/08/20 16:01:35 drochner Exp $ */
+
+/*-
+ * Copyright (c) 2007 The NetBSD Foundation, Inc.
+ * All rights reserved.
+ *
+ * This code is derived from software written by Stephen L. Moshier.
+ * It is redistributed by the NetBSD Foundation by permission of the author.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE NETBSD FOUNDATION, INC. AND CONTRIBUTORS
+ * ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
+ * TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
+ * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE FOUNDATION OR CONTRIBUTORS
+ * BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
+ * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
+ * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
+ * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
+ * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
+ * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+ * POSSIBILITY OF SUCH DAMAGE.
+ */
+
+#include <complex.h>
+#include <math.h>
+
+double complex
+cpow(double complex a, double complex z)
+{
+ double complex w;
+ double x, y, r, theta, absa, arga;
+
+ x = creal(z);
+ y = cimag(z);
+ absa = cabs(a);
+ if (absa == 0.0) {
+ return (0.0 + 0.0 * I);
+ }
+ arga = carg(a);
+ r = pow(absa, x);
+ theta = x * arga;
+ if (y != 0.0) {
+ r = r * exp(-y * arga);
+ theta = theta + y * log(absa);
+ }
+ w = r * cos(theta) + (r * sin(theta)) * I;
+ return w;
+}