diff packages/language/c/libm/current/src/complex/casinf.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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+++ b/packages/language/c/libm/current/src/complex/casinf.c
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+/* $NetBSD: casinf.c,v 1.1 2007/08/20 16:01:31 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>
+ */
+
+#include <complex.h>
+#include <math.h>
+
+#ifdef __weak_alias
+__weak_alias(casinf, _casinf)
+#endif
+
+float complex
+casinf(float complex z)
+{
+	float complex w;
+	float complex ca, ct, zz, z2;
+	float x, y;
+
+	x = crealf(z);
+	y = cimagf(z);
+
+#if 0 /* MD: test is incorrect, casin(>1) is defined */
+	if (y == 0.0f) {
+		if (fabsf(x) > 1.0) {
+			w = M_PI_2 + 0.0f * I;
+#if 0
+			mtherr ("casin", DOMAIN);
+#endif
+		} else {
+			w = asinf(x) + 0.0f * I;
+		}
+		return w;
+	}
+#endif
+
+/* Power series expansion */
+/*
+b = cabsf(z);
+if( b < 0.125 )
+{
+z2.r = (x - y) * (x + y);
+z2.i = 2.0 * x * y;
+
+cn = 1.0;
+n = 1.0;
+ca.r = x;
+ca.i = y;
+sum.r = x;
+sum.i = y;
+do
+	{
+	ct.r = z2.r * ca.r  -  z2.i * ca.i;
+	ct.i = z2.r * ca.i  +  z2.i * ca.r;
+	ca.r = ct.r;
+	ca.i = ct.i;
+
+	cn *= n;
+	n += 1.0;
+	cn /= n;
+	n += 1.0;
+	b = cn/n;
+
+	ct.r *= b;
+	ct.i *= b;
+	sum.r += ct.r;
+	sum.i += ct.i;
+	b = fabsf(ct.r) + fabsf(ct.i);
+	}
+while( b > MACHEP );
+w->r = sum.r;
+w->i = sum.i;
+return;
+}
+*/
+
+
+	ca = x + y * I;
+	ct = ca * I;
+	/* sqrt( 1 - z*z) */
+	/* cmul( &ca, &ca, &zz ) */
+	/*x * x  -  y * y */
+	zz = (x - y) * (x + y) + (2.0f * x * y) * I;
+
+	zz = 1.0f - crealf(zz) - cimagf(zz) * I;
+	z2 = csqrtf(zz);
+
+	zz = ct + z2;
+	zz = clogf(zz);
+	/* multiply by 1/i = -i */
+	w = zz * (-1.0f * I);
+	return w;
+}