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Diffstat (limited to 'usr/src/lib/libm/common/C/asinh.c')
-rw-r--r--usr/src/lib/libm/common/C/asinh.c89
1 files changed, 89 insertions, 0 deletions
diff --git a/usr/src/lib/libm/common/C/asinh.c b/usr/src/lib/libm/common/C/asinh.c
new file mode 100644
index 0000000000..6d6b852009
--- /dev/null
+++ b/usr/src/lib/libm/common/C/asinh.c
@@ -0,0 +1,89 @@
+/*
+ * 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 asinh = __asinh
+
+/* INDENT OFF */
+/*
+ * asinh(x)
+ * Method :
+ * Based on
+ * asinh(x) = sign(x) * log [ |x| + sqrt(x*x+1) ]
+ * we have
+ * asinh(x) := x if 1+x*x == 1,
+ * := sign(x)*(log(x)+ln2)) for large |x|, else
+ * := sign(x)*log(2|x|+1/(|x|+sqrt(x*x+1))) if|x| > 2, else
+ * := sign(x)*log1p(|x|+x^2/(1+sqrt(1+x^2)))
+ */
+/* INDENT ON */
+
+#include "libm_synonyms.h" /* __asinh */
+#include "libm_macros.h"
+#include <math.h>
+
+static const double xxx[] = {
+/* one */ 1.00000000000000000000e+00, /* 3FF00000, 00000000 */
+/* ln2 */ 6.93147180559945286227e-01, /* 3FE62E42, FEFA39EF */
+/* huge */ 1.00000000000000000000e+300
+};
+#define one xxx[0]
+#define ln2 xxx[1]
+#define huge xxx[2]
+
+double
+asinh(double x) {
+ double t, w;
+ int hx, ix;
+
+ hx = ((int *) &x)[HIWORD];
+ ix = hx & 0x7fffffff;
+ if (ix >= 0x7ff00000)
+#if defined(FPADD_TRAPS_INCOMPLETE_ON_NAN)
+ return (ix >= 0x7ff80000 ? x : x + x);
+ /* assumes sparc-like QNaN */
+#else
+ return (x + x); /* x is inf or NaN */
+#endif
+ if (ix < 0x3e300000) { /* |x|<2**-28 */
+ if (huge + x > one)
+ return (x); /* return x inexact except 0 */
+ }
+ if (ix > 0x41b00000) { /* |x| > 2**28 */
+ w = log(fabs(x)) + ln2;
+ } else if (ix > 0x40000000) {
+ /* 2**28 > |x| > 2.0 */
+ t = fabs(x);
+ w = log(2.0 * t + one / (sqrt(x * x + one) + t));
+ } else {
+ /* 2.0 > |x| > 2**-28 */
+ t = x * x;
+ w = log1p(fabs(x) + t / (one + sqrt(one + t)));
+ }
+ return (hx > 0 ? w : -w);
+}