diff packages/language/c/libm/current/src/complex/cpow.c @ 3260:77f9d3253c3e

Add: Complex number header and library (single and double precision floating point), port from Newlib. Add: Single precision floating point library, port from Newlib. [ Bugzilla 1001539 ]
author vae
date Sun, 25 Aug 2013 14:38:57 +0000
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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.
+ *
+ * imported and modified include for newlib 2010/10/03 
+ * Marco Atzeri <marco_atzeri@yahoo.it>
+ */
+
+/*
+FUNCTION
+        <<cpow>>, <<cpowf>>---complex power
+
+INDEX
+        cpow
+INDEX
+        cpowf
+
+ANSI_SYNOPSIS
+       #include <complex.h>
+       double complex cpow(double complex <[x]>, double complex <[y]>);
+       float complex cpowf(float complex <[x]>, float complex <[y]>);
+
+
+DESCRIPTION
+        @ifnottex
+        The cpow functions compute the complex power function x^y 
+        power, with a branch cut for the first parameter along the 
+        negative real axis.
+        @end ifnottex
+        @tex
+        The cpow functions compute the complex power function $x^y$ 
+        power, with a branch cut for the first parameter along the 
+        negative real axis.
+        @end tex
+
+        <<cpowf>> is identical to <<cpow>>, except that it performs
+        its calculations on <<floats complex>>.
+
+RETURNS
+        The cpow functions return the complex power function value.
+
+PORTABILITY
+        <<cpow>> and <<cpowf>> are ISO C99
+
+QUICKREF
+        <<cpow>> and <<cpowf>> are ISO C99
+
+*/
+
+
+#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;
+}