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-rw-r--r--usr/src/lib/libm/common/C/acosh.c96
1 files changed, 96 insertions, 0 deletions
diff --git a/usr/src/lib/libm/common/C/acosh.c b/usr/src/lib/libm/common/C/acosh.c
new file mode 100644
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+++ b/usr/src/lib/libm/common/C/acosh.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 acosh = __acosh
+
+/* INDENT OFF */
+/*
+ * acosh(x)
+ * Method :
+ * Based on
+ * acosh(x) = log [ x + sqrt(x*x-1) ]
+ * we have
+ * acosh(x) := log(x)+ln2, if x is large; else
+ * acosh(x) := log(2x-1/(sqrt(x*x-1)+x)) if x > 2; else
+ * acosh(x) := log1p(t+sqrt(2.0*t+t*t)); where t = x-1.
+ *
+ * Special cases:
+ * acosh(x) is NaN with signal if x < 1.
+ * acosh(NaN) is NaN without signal.
+ */
+/* INDENT ON */
+
+#include "libm_synonyms.h" /* __acosh, __log, __log1p */
+#include "libm_protos.h" /* _SVID_libm_error */
+#include "libm_macros.h"
+#include <math.h>
+
+static const double
+ one = 1.0,
+ ln2 = 6.93147180559945286227e-01; /* 3FE62E42, FEFA39EF */
+
+double
+acosh(double x) {
+ double t;
+ int hx;
+
+ hx = ((int *) &x)[HIWORD];
+ if (hx < 0x3ff00000) { /* x < 1 */
+ if (isnan(x))
+#if defined(FPADD_TRAPS_INCOMPLETE_ON_NAN)
+ return (hx >= 0xfff80000 ? x : (x - x) / (x - x));
+ /* assumes sparc-like QNaN */
+#else
+ return (x - x) / (x - x);
+#endif
+ else
+ return (_SVID_libm_err(x, x, 29));
+ } else if (hx >= 0x41b00000) {
+ /* x > 2**28 */
+ if (hx >= 0x7ff00000) { /* x is inf of NaN */
+#if defined(FPADD_TRAPS_INCOMPLETE_ON_NAN)
+ return (hx >= 0x7ff80000 ? x : x + x);
+ /* assumes sparc-like QNaN */
+#else
+ return (x + x);
+#endif
+ } else /* acosh(huge)=log(2x) */
+ return (log(x) + ln2);
+ } else if (((hx - 0x3ff00000) | ((int *) &x)[LOWORD]) == 0) {
+ return (0.0); /* acosh(1) = 0 */
+ } else if (hx > 0x40000000) {
+ /* 2**28 > x > 2 */
+ t = x * x;
+ return (log(2.0 * x - one / (x + sqrt(t - one))));
+ } else {
+ /* 1 < x < 2 */
+ t = x - one;
+ return (log1p(t + sqrt(2.0 * t + t * t)));
+ }
+}