693 Opensource replacement of sunwlibm

Reviewed by: Igor Kozhukhov ikozhukhov@gmail.com
Reviewed by: Keith M Wesolowski <keith.wesolowski@joyent.com>
Reviewed by: Richard Lowe <richlowe@richlowe.net>
Approved by: Dan McDonald <danmcd@omniti.com>

1 files changed, 129 insertions, 0 deletions

diff --git a/usr/src/lib/libm/common/C/__sin.c b/usr/src/lib/libm/common/C/__sin.c
new file mode 100644
index 0000000000..323468709d
--- /dev/null
+++ b/usr/src/lib/libm/common/C/__sin.c
@@ -0,0 +1,129 @@
+/*
+ * CDDL HEADER START
+ *
+ * The contents of this file are subject to the terms of the
+ * Common Development and Distribution License (the "License").
+ * You may not use this file except in compliance with the License.
+ *
+ * You can obtain a copy of the license at usr/src/OPENSOLARIS.LICENSE
+ * or http://www.opensolaris.org/os/licensing.
+ * See the License for the specific language governing permissions
+ * and limitations under the License.
+ *
+ * When distributing Covered Code, include this CDDL HEADER in each
+ * file and include the License file at usr/src/OPENSOLARIS.LICENSE.
+ * If applicable, add the following below this CDDL HEADER, with the
+ * fields enclosed by brackets "[]" replaced with your own identifying
+ * information: Portions Copyright [yyyy] [name of copyright owner]
+ *
+ * CDDL HEADER END
+ */
+/*
+ * Copyright 2011 Nexenta Systems, Inc.  All rights reserved.
+ */
+/*
+ * Copyright 2005 Sun Microsystems, Inc.  All rights reserved.
+ * Use is subject to license terms.
+ */
+
+/* INDENT OFF */
+/*
+ * __k_sin( double x;  double y )
+ * kernel sin function on [-pi/4, pi/4], pi/4 ~ 0.785398164
+ * Input x is assumed to be bounded by ~pi/4 in magnitude.
+ * Input y is the tail of x.
+ *
+ * Accurate Table look-up algorithm by K.C. Ng, May, 1995.
+ *
+ * Algorithm: see __sincos.c
+ */
+
+#include "libm.h"
+
+static const double sc[] = {
+/* ONE	= */  1.0,
+/* NONE	= */ -1.0,
+/*
+ * |sin(x) - (x+pp1*x^3+pp2*x^5)| <= 2^-58.79 for |x| < 0.008
+ */
+/* PP1	= */ -0.166666666666316558867252052378889521480627858683055567,
+/* PP2	= */   .008333315652997472323564894248466758248475374977974017927,
+/*
+ * |(sin(x) - (x+p1*x^3+...+p4*x^9)|
+ * |------------------------------ | <= 2^-57.63 for |x| < 0.1953125
+ * |                 x             |
+ */
+/* P1  	= */ -1.666666666666629669805215138920301589656e-0001,
+/* P2  	= */  8.333333332390951295683993455280336376663e-0003,
+/* P3  	= */ -1.984126237997976692791551778230098403960e-0004,
+/* P4  	= */  2.753403624854277237649987622848330351110e-0006,
+/*
+ * |cos(x) - (1+qq1*x^2+qq2*x^4)| <= 2^-55.99 for |x| <= 0.008 (0x3f80624d)
+ */
+/* QQ1	= */ -0.4999999999975492381842911981948418542742729,
+/* QQ2	= */  0.041666542904352059294545209158357640398771740,
+/*
+ * |cos(x) - (1+q1*x^2+...+q4*x^8)| <= 2^-55.86 for |x| <= 0.1640625 (10.5/64)
+ */
+/* Q1  	= */ -0.5,
+/* Q2  	= */  4.166666666500350703680945520860748617445e-0002,
+/* Q3  	= */ -1.388888596436972210694266290577848696006e-0003,
+/* Q4  	= */  2.478563078858589473679519517892953492192e-0005,
+};
+/* INDENT ON */
+
+#define	ONE	sc[0]
+#define	NONE	sc[1]
+#define	PP1	sc[2]
+#define	PP2	sc[3]
+#define	P1	sc[4]
+#define	P2	sc[5]
+#define	P3	sc[6]
+#define	P4	sc[7]
+#define	QQ1	sc[8]
+#define	QQ2	sc[9]
+#define	Q1	sc[10]
+#define	Q2	sc[11]
+#define	Q3	sc[12]
+#define	Q4	sc[13]
+
+extern const double _TBL_sincos[], _TBL_sincosx[];
+
+double
+__k_sin(double x, double y) {
+	double	z, w, s, v, p, q;
+	int	i, j, n, hx, ix;
+
+	hx = ((int *)&x)[HIWORD];
+	ix = hx & ~0x80000000;
+
+	if (ix <= 0x3fc50000) {	/* |x| < 10.5/64 = 0.164062500 */
+		if (ix < 0x3e400000)	/* |x| < 2**-27 */
+			if ((int)x == 0)
+				return (x + y);
+		z = x * x;
+		if (ix < 0x3f800000)	/* |x| < 0.008  */
+			p = (x * z) * (PP1 + z * PP2) + y;
+		else
+			p = (x * z) * ((P1 + z * P2) + (z * z) * (P3 +
+			    z * P4)) + y;
+		return (x + p);
+	} else {		/* 0.164062500 < |x| < ~pi/4 */
+		n = ix >> 20;
+		i = (((ix >> 12) & 0xff) | 0x100) >> (0x401 - n);
+		j = i - 10;
+		if (hx < 0)
+			v = -y - (_TBL_sincosx[j] + x);
+		else
+			v = y - (_TBL_sincosx[j] - x);
+		s = v * v;
+		j <<= 1;
+		w = _TBL_sincos[j];
+		z = _TBL_sincos[j+1];
+		p = s * (PP1 + s * PP2);
+		q = s * (QQ1 + s * QQ2);
+		p = v + v * p;
+		s = w * q + z * p;
+		return ((hx >= 0)? w + s : -(w + s));
+	}
+}