1 files changed, 148 insertions, 0 deletions
diff --git a/usr/src/lib/libm/common/LD/__sinl.c b/usr/src/lib/libm/common/LD/__sinl.c
new file mode 100644
index 0000000000..348ef28f56
--- /dev/null
+++ b/usr/src/lib/libm/common/LD/__sinl.c
@@ -0,0 +1,148 @@
+/*
+ * 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 2006 Sun Microsystems, Inc.  All rights reserved.
+ * Use is subject to license terms.
+ */
+
+/* INDENT OFF */
+/*
+ * __k_sinl( long double x;  long 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.
+ *
+ * Table look up algorithm
+ *	1. by sin(-x) = -sin(x), need only to consider positive x
+ *	2. if x < 25/128 = [0x3ffc9000,0,0,0] = 0.1953125 , then
+ *	     if x < 2^-57 (hx < 0x3fc60000,0,0,0), return x (inexact if x !=  0)
+ *	     z = x*x;
+ *	     if x <= 1/64 = 2**-6
+ *		sin(x) = x + (y+(x*z)*(p1 + z*p2))
+ *	     else
+ *		sin(x) = x + (y+(x*z)*(p1 + z*(p2 + z*(p3 + z*p4))))
+ *	3. else
+ *		ht = (hx + 0x400)&0x7ffff800	(round x to a break point t)
+ *		lt = 0
+ *		i  = (hy-0x3ffc4000)>>11;	(i<=64)
+ *		x' = (x - t)+y 			(|x'| ~<= 2^-7
+ *	   By
+ *		sin(t+x')
+ *		  = sin(t)cos(x')+cos(t)sin(x')
+ *		  = sin(t)(1+z*(qq1+z*qq2))+[cos(t)]*x*(1+z*(pp1+z*pp2))
+ *		  = sin(t) + [sin(t)]*(z*(qq1+z*qq2))+
+ *				[cos(t)]*x*(1+z*(pp1+z*pp2))
+ *
+ *	   Thus,
+ *		let a= _TBL_sin_hi[i], b = _TBL_sin_lo[i], c= _TBL_cos_hi[i],
+ *		x = (x-t)+y
+ *		z = x*x;
+ *		sin(t+x) = a+(b+ ((c*x)*(1+z*(pp1+z*pp2))+a*(z*(qq1+z*qq2)))
+ */
+
+#include "libm.h"
+
+#include <sys/isa_defs.h>
+
+extern const long double _TBL_sinl_hi[], _TBL_sinl_lo[], _TBL_cosl_hi[];
+static const long double
+one	= 1.0,
+/*
+ * |sin(x) - (x+pp1*x^3+...+ pp5*x^11)| <= 2^-122.32 for |x|<1/64
+ */
+pp1	= -1.666666666666666666666666666586782940810e-0001L,
+pp2	=  8.333333333333333333333003723660929317540e-0003L,
+pp3	= -1.984126984126984076045903483778337804470e-0004L,
+pp4	=  2.755731922361906641319723106210900949413e-0006L,
+pp5	= -2.505198398570947019093998469135012057673e-0008L,
+/*
+ * |(sin(x) - (x+p1*x^3+...+p8*x^17)|
+ * |------------------------------- | <= 2^-116.17 for |x|<0.1953125
+ * |                 x              |
+ */
+p1	= -1.666666666666666666666666666666211262297e-0001L,
+p2	=  8.333333333333333333333333301497876908541e-0003L,
+p3	= -1.984126984126984126984041302881180621922e-0004L,
+p4	=  2.755731922398589064100587351307269621093e-0006L,
+p5	= -2.505210838544163129378906953765595393873e-0008L,
+p6	=  1.605904383643244375050998243778534074273e-0010L,
+p7	= -7.647162722800685516901456114270824622699e-0013L,
+p8	=  2.810046428661902961725428841068844462603e-0015L,
+/*
+ *		     2	         10        -123.84
+ * |cos(x) - (1+qq1*x +...+ qq5*x  )| <= 2        for |x|<=1/128
+ */
+qq1	= -4.999999999999999999999999999999378373641e-0001L,
+qq2	=  4.166666666666666666666665478399327703130e-0002L,
+qq3	= -1.388888888888888888058211230618051613494e-0003L,
+qq4	=  2.480158730156105377771585658905303111866e-0005L,
+qq5	= -2.755728099762526325736488376695157008736e-0007L;
+/* INDENT ON */
+long double
+__k_sinl(long double x, long double y) {
+	long double a, t, z, w;
+	int *pt = (int *) &t, *px = (int *) &x;
+	int i, j, hx, ix;
+
+	t = 1.0L;
+#if defined(__i386) || defined(__amd64)
+	XTOI(px, hx);
+#else
+	hx = px[0];
+#endif
+	ix = hx & 0x7fffffff;
+	if (ix < 0x3ffc9000) {
+		if (ix < 0x3fc60000)
+			if (((int) x) == 0)
+				return (x);	/* generate inexact */
+		z = x * x;
+		t = z * (p1 + z * (p2 + z * (p3 + z * (p4 + z * (p5 + z *
+			(p6 + z * (p7 + z * p8)))))));
+		t = y + x * t;
+		return (x + t);
+	}
+	j = (ix + 0x400) & 0x7ffff800;
+	i = (j - 0x3ffc4000) >> 11;
+#if defined(__i386) || defined(__amd64)
+	ITOX(j, pt);
+#else
+	pt[0] = j;
+#endif
+	if (hx > 0)
+		x = y - (t - x);
+	else
+		x = (-y) - (t + x);
+	a = _TBL_sinl_hi[i];
+	z = x * x;
+	t = z * (qq1 + z * (qq2 + z * (qq3 + z * (qq4 + z * qq5))));
+	w = x * (one + z * (pp1 + z * (pp2 + z * (pp3 + z * (pp4 + z *
+		pp5)))));
+	t = _TBL_cosl_hi[i] * w + a * t;
+	t += _TBL_sinl_lo[i];
+	if (hx < 0)
+		return (-a - t);
+	else
+		return (a + t);
+}