summaryrefslogtreecommitdiff
path: root/usr/src/lib/libm/common/Q/sinhl.c
diff options
context:
space:
mode:
Diffstat (limited to 'usr/src/lib/libm/common/Q/sinhl.c')
-rw-r--r--usr/src/lib/libm/common/Q/sinhl.c90
1 files changed, 90 insertions, 0 deletions
diff --git a/usr/src/lib/libm/common/Q/sinhl.c b/usr/src/lib/libm/common/Q/sinhl.c
new file mode 100644
index 0000000000..dc37e457a7
--- /dev/null
+++ b/usr/src/lib/libm/common/Q/sinhl.c
@@ -0,0 +1,90 @@
+/*
+ * 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 sinhl = __sinhl
+
+#include "libm.h"
+#include "longdouble.h"
+
+/*
+ * sinhl(X)
+ * RETURN THE HYPERBOLIC SINE OF X
+ *
+ * Method :
+ * 1. reduce x to non-negative by sinhl(-x) = - sinhl(x).
+ * 2.
+ *
+ * expm1l(x) + expm1l(x)/(expm1l(x)+1)
+ * 0 <= x <= lnovft : sinhl(x) := --------------------------------
+ * 2
+ *
+ * lnovft <= x < INF : sinhl(x) := expl(x-MEP1*ln2)*2**ME
+ *
+ * here
+ * lnovft: logrithm of the overflow threshold
+ * = MEP1*ln2 chopped to machine precision.
+ * ME maximum exponent
+ * MEP1 maximum exponent plus 1
+ *
+ * Special cases:
+ * sinhl(x) is x if x is +INF, -INF, or NaN.
+ * only sinhl(0)=0 is exact for finite argument.
+ *
+ */
+
+#define ME 16383
+#define MEP1 16384
+#define LNOVFT 1.135652340629414394949193107797076342845e+4L
+ /* last 32 bits of LN2HI is zero */
+#define LN2HI 6.931471805599453094172319547495844850203e-0001L
+#define LN2LO 1.667085920830552208890449330400379754169e-0025L
+
+static const long double
+ half = 0.5L,
+ one = 1.0L,
+ ln2hi = LN2HI,
+ ln2lo = LN2LO,
+ lnovftL = LNOVFT;
+
+long double
+sinhl(long double x) {
+ long double r, t;
+
+ if (!finitel(x))
+ return (x + x); /* sinh of NaN or +-INF is itself */
+ r = fabsl(x);
+ if (r < lnovftL) {
+ t = expm1l(r);
+ r = copysignl((t + t / (one + t)) * half, x);
+ } else {
+ r = copysignl(expl((r - MEP1 * ln2hi) - MEP1 * ln2lo), x);
+ r = scalbnl(r, ME);
+ }
+ return (r);
+}