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-rw-r--r--usr/src/lib/libm/common/LD/__sincosl.c154
1 files changed, 154 insertions, 0 deletions
diff --git a/usr/src/lib/libm/common/LD/__sincosl.c b/usr/src/lib/libm/common/LD/__sincosl.c
new file mode 100644
index 0000000000..e9318069ae
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+++ b/usr/src/lib/libm/common/LD/__sincosl.c
@@ -0,0 +1,154 @@
+/*
+ * 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 */
+/*
+ * long double __k_sincos( long double x, long double y, long double *c )
+ * kernel sincosl 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.
+ * return sinl(x) with *c = cosl(x)
+ *
+ * Table look up algorithm
+ * see __k_sinl() and __k_cosl()
+ */
+
+#include "libm.h"
+
+#include <sys/isa_defs.h>
+
+extern const long double _TBL_sinl_hi[], _TBL_sinl_lo[], _TBL_cosl_hi[],
+ _TBL_cosl_lo[];
+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,
+/*
+ *
+ * |cos(x) - (1+qq1*x^2+...+ qq5*x^10)| <= 2^-123.84 for |x|<=1/128
+ */
+qq1 = -4.999999999999999999999999999999378373641e-0001L,
+qq2 = 4.166666666666666666666665478399327703130e-0002L,
+qq3 = -1.388888888888888888058211230618051613494e-0003L,
+qq4 = 2.480158730156105377771585658905303111866e-0005L,
+qq5 = -2.755728099762526325736488376695157008736e-0007L,
+/*
+ *
+ * |cos(x) - (1+q1*x^2+...+ q8*x^16)| <= 2^-117.11 for |x|<= 0.15625
+ */
+q1 = -4.999999999999999999999999999999756416975e-0001L,
+q2 = 4.166666666666666666666666664006066577258e-0002L,
+q3 = -1.388888888888888888888877700363937169637e-0003L,
+q4 = 2.480158730158730158494468463031814083559e-0005L,
+q5 = -2.755731922398586276322819250356005542871e-0007L,
+q6 = 2.087675698767424261441959760729854017855e-0009L,
+q7 = -1.147074481239662089072452129010790774761e-0011L,
+q8 = 4.777761647399651599730663422263531034782e-0014L;
+/* INDENT ON */
+long double
+__k_sincosl(long double x, long double y, long double *c) {
+ long double a1, a2, t, t1, t2, z, w;
+ int *pt = (int *) &t, *px = (int *) &x;
+ int i, j, hx, ix;
+
+ t = 1.0;
+#if defined(__i386) || defined(__amd64)
+ XTOI(px, hx);
+#else
+ hx = px[0];
+#endif
+ ix = hx & 0x7fffffff;
+ if (ix < 0x3ffc4000) {
+ if (ix < 0x3fc60000)
+ if (((int) x) == 0) {
+ *c = one;
+ return (x);
+ } /* generate inexact */
+ z = x * x;
+
+ if (ix < 0x3ff80000) {
+ *c = one + z * (qq1 + z * (qq2 + z * (qq3 + z * (qq4 +
+ z * qq5))));
+ t = z * (p1 + z * (p2 + z * (p3 + z * (p4 + z * (p5 +
+ z * p6)))));
+ } else {
+ *c = one + z * (q1 + z * (q2 + z * (q3 + z * (q4 + z *
+ (q5 + z * (q6 + z * (q7 + z * q8)))))));
+ 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);
+ a1 = _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)))));
+ a2 = _TBL_cosl_hi[i];
+ t2 = _TBL_cosl_lo[i] - (a1 * w - a2 * t);
+ *c = a2 + t2;
+ t1 = a2 * w + a1 * t;
+ t1 += _TBL_sinl_lo[i];
+ if (hx < 0)
+ return (-a1 - t1);
+ else
+ return (a1 + t1);
+}