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, 189 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..d15f54f1b5
--- /dev/null
+++ b/usr/src/lib/libm/common/C/sin.c
@@ -0,0 +1,189 @@
+/*
+ * 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.
+ */
+
+#pragma weak sin = __sin
+
+/* INDENT OFF */
+/*
+ * sin(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,
+/* PI_H	= */  3.1415926535897931159979634685,
+/* PI_L    = */  1.22464679914735317722606593227425e-16,
+/* PI_L0   = */  1.22464679914558443311283879205095e-16,
+/* PI_L1   = */  1.768744113227140223300005233735517376e-28,
+/* PI2_H   = */  6.2831853071795862319959269370,
+/* PI2_L   = */  2.44929359829470635445213186454850e-16,
+/* PI2_L0  = */  2.44929359829116886622567758410190e-16,
+/* PI2_L1  = */  3.537488226454280446600010467471034752e-28,
+};
+/* INDENT ON */
+
+#define	ONEA	sc
+#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	PI_H	sc[10]
+#define	PI_L	sc[11]
+#define	PI_L0	sc[12]
+#define	PI_L1	sc[13]
+#define	PI2_H	sc[14]
+#define	PI2_L	sc[15]
+#define	PI2_L0	sc[16]
+#define	PI2_L1	sc[17]
+
+extern const double  _TBL_sincos[], _TBL_sincosx[];
+
+double
+sin(double x) {
+	double	z, y[2], w, s, v, p, q;
+	int	i, j, n, hx, ix, lx;
+
+	hx = ((int *)&x)[HIWORD];
+	lx = ((int *)&x)[LOWORD];
+	ix = hx & ~0x80000000;
+
+	if (ix <= 0x3fc50000) {	/* |x| < .1640625 */
+		if (ix < 0x3e400000)	/* |x| < 2**-27 */
+			if ((int)x == 0)
+				return (x);
+		z = x * x;
+		if (ix < 0x3f800000)	/* |x| < 2**-8 */
+			w = (z * x) * (PP1 + z * PP2);
+		else
+			w = (x * z) * ((P1 + z * P2) + (z * z) * (P3 + z * P4));
+		return (x + w);
+	}
+
+	/* for .1640625 < x < M, */
+	n = ix >> 20;
+	if (n < 0x402) {	/* x < 8 */
+		i = (((ix >> 12) & 0xff) | 0x100) >> (0x401 - n);
+		j = i - 10;
+		x = fabs(x);
+		v = x - _TBL_sincosx[j];
+		if (((j - 181) ^ (j - 201)) < 0) {
+			/* near pi, sin(x) = sin(pi-x) */
+			p = PI_H - x;
+			i = ix - 0x400921fb;
+			x = p + PI_L;
+			if ((i | ((lx - 0x54442D00) & 0xffffff00)) == 0) {
+				/* very close to pi */
+				x = p + PI_L0;
+				return ((hx >= 0)? x + PI_L1 : -(x + PI_L1));
+			}
+			z = x * x;
+			if (((ix - 0x40092000) >> 11) == 0) {
+				/* |pi-x|<2**-8 */
+				w = PI_L + (z * x) * (PP1 + z * PP2);
+			} else {
+				w = PI_L + (z * x) * ((P1 + z * P2) +
+				    (z * z) * (P3 + z * P4));
+			}
+			return ((hx >= 0)? p + w : -p - w);
+		}
+		s = v * v;
+		if (((j - 382) ^ (j - 402)) < 0) {
+			/* near 2pi, sin(x) = sin(x-2pi) */
+			p = x - PI2_H;
+			i = ix - 0x401921fb;
+			x = p - PI2_L;
+			if ((i | ((lx - 0x54442D00) & 0xffffff00)) == 0) {
+				/* very close to 2pi */
+				x = p - PI2_L0;
+				return ((hx >= 0)? x - PI2_L1 : -(x - PI2_L1));
+			}
+			z = x * x;
+			if (((ix - 0x40192000) >> 10) == 0) {
+				/* |x-2pi|<2**-8 */
+				w = (z * x) * (PP1 + z * PP2) - PI2_L;
+			} else {
+				w = (z * x) * ((P1 + z * P2) +
+				    (z * z) * (P3 + z * P4)) - PI2_L;
+			}
+			return ((hx >= 0)? p + w : -p - w);
+		}
+		j <<= 1;
+		w = _TBL_sincos[j+1];
+		z = _TBL_sincos[j];
+		p = v + (v * s) * (PP1 + s * PP2);
+		q = s * (QQ1 + s * QQ2);
+		v = w * p + z * q;
+		return ((hx >= 0)? z + v : -z - v);
+	}
+
+	if (ix >= 0x7ff00000)	/* sin(Inf or NaN) is NaN */
+		return (x / x);
+
+	/* argument reduction needed */
+	n = __rem_pio2(x, y);
+	switch (n & 3) {
+	case 0:
+		return (__k_sin(y[0], y[1]));
+	case 1:
+		return (__k_cos(y[0], y[1]));
+	case 2:
+		return (-__k_sin(y[0], y[1]));
+	default:
+		return (-__k_cos(y[0], y[1]));
+	}
+}