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authorPiotr Jasiukajtis <estibi@me.com>2014-02-04 20:31:57 +0100
committerDan McDonald <danmcd@omniti.com>2014-10-17 18:00:52 -0400
commit25c28e83beb90e7c80452a7c818c5e6f73a07dc8 (patch)
tree95cb102e7fb37f52d4b3ec3e44508f352a335ee5 /usr/src/lib/libm/common/LD/cosl.c
parent4e6070e87069f63bef94d8e79c2fc3cab2c1ab6b (diff)
downloadillumos-gate-25c28e83beb90e7c80452a7c818c5e6f73a07dc8.tar.gz
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>
Diffstat (limited to 'usr/src/lib/libm/common/LD/cosl.c')
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diff --git a/usr/src/lib/libm/common/LD/cosl.c b/usr/src/lib/libm/common/LD/cosl.c
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+/*
+ * 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.
+ */
+
+#pragma weak cosl = __cosl
+
+/* INDENT OFF */
+/* cosl(x)
+ * Table look-up algorithm by K.C. Ng, November, 1989.
+ *
+ * kernel function:
+ * __k_sinl ... sin function on [-pi/4,pi/4]
+ * __k_cosl ... cos function on [-pi/4,pi/4]
+ * __rem_pio2l ... argument reduction routine
+ *
+ * Method.
+ * Let S and C denote the sin and cos respectively on [-PI/4, +PI/4].
+ * 1. Assume the argument x is reduced to y1+y2 = x-k*pi/2 in
+ * [-pi/2 , +pi/2], and let n = k mod 4.
+ * 2. Let S=S(y1+y2), C=C(y1+y2). Depending on n, we have
+ *
+ * n sin(x) cos(x) tan(x)
+ * ----------------------------------------------------------
+ * 0 S C S/C
+ * 1 C -S -C/S
+ * 2 -S -C S/C
+ * 3 -C S -C/S
+ * ----------------------------------------------------------
+ *
+ * Special cases:
+ * Let trig be any of sin, cos, or tan.
+ * trig(+-INF) is NaN, with signals;
+ * trig(NaN) is that NaN;
+ *
+ * Accuracy:
+ * computer TRIG(x) returns trig(x) nearly rounded.
+ */
+/* INDENT ON */
+
+#include "libm.h"
+#include "libm_synonyms.h"
+#include "longdouble.h"
+
+#include <sys/isa_defs.h>
+
+long double
+cosl(long double x) {
+ long double y[2], z = 0.0L;
+ int n, ix;
+ int *px = (int *) &x;
+
+ /* trig(Inf or NaN) is NaN */
+ if (!finitel(x))
+ return x - x;
+
+ /* High word of x. */
+#if defined(__i386) || defined(__amd64)
+ XTOI(px, ix);
+#else
+ ix = px[0];
+#endif
+
+ /* |x| ~< pi/4 */
+ ix &= 0x7fffffff;
+ if (ix <= 0x3ffe9220)
+ return __k_cosl(x, z);
+
+ /* argument reduction needed */
+ else {
+ n = __rem_pio2l(x, y);
+ switch (n & 3) {
+ case 0:
+ return __k_cosl(y[0], y[1]);
+ case 1:
+ return -__k_sinl(y[0], y[1]);
+ case 2:
+ return -__k_cosl(y[0], y[1]);
+ case 3:
+ return __k_sinl(y[0], y[1]);
+ /* NOTREACHED */
+ }
+ }
+ return 0.0L;
+}