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-rw-r--r--usr/src/libm/src/LD/coshl.c107
1 files changed, 107 insertions, 0 deletions
diff --git a/usr/src/libm/src/LD/coshl.c b/usr/src/libm/src/LD/coshl.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 2006 Sun Microsystems, Inc. All rights reserved.
+ * Use is subject to license terms.
+ */
+
+#pragma ident "@(#)coshl.c 1.7 06/01/31 SMI"
+
+#if defined(ELFOBJ)
+#pragma weak coshl = __coshl
+#endif
+
+#include "libm.h"
+
+/*
+ * COSH(X)
+ * RETURN THE HYPERBOLIC COSINE OF X
+ *
+ * Method :
+ * 1. Replace x by |x| (COSH(x) = COSH(-x)).
+ * 2.
+ * [ EXP(x) - 1 ]^2
+ * 0 <= x <= 0.3465 : COSH(x) := 1 + -------------------
+ * 2*EXP(x)
+ *
+ * EXP(x) + 1/EXP(x)
+ * 0.3465 <= x <= thresh : COSH(x) := -------------------
+ * 2
+ * thresh <= x <= lnovft : COSH(x) := EXP(x)/2
+ * lnovft <= x < INF : COSH(x) := SCALBN(EXP(x-MEP1*ln2),ME)
+ *
+ *
+ * here
+ * 0.3465 a number that is near one half of ln2.
+ * thresh a number such that
+ * EXP(thresh)+EXP(-thresh)=EXP(thresh)
+ * lnovft logarithm of the overflow threshold
+ * = MEP1*ln2 chopped to machine precision.
+ * ME maximum exponent
+ * MEP1 maximum exponent plus 1
+ *
+ * Special cases:
+ * COSH(x) is |x| if x is +INF, -INF, or NaN.
+ * only COSH(0)=1 is exact for finite x.
+ */
+
+static const long double C[] = {
+ 0.5L,
+ 1.0L,
+ 0.3465L,
+ 45.0L,
+ 1.135652340629414394879149e+04L,
+ 7.004447686242549087858985e-16L,
+ 2.710505431213761085018632e-20L, /* 2^-65 */
+};
+
+#define half C[0]
+#define one C[1]
+#define thr1 C[2]
+#define thr2 C[3]
+#define lnovft C[4]
+#define lnovlo C[5]
+#define tinyl C[6]
+
+long double
+coshl(long double x) {
+ long double w, t;
+
+ w = fabsl(x);
+ if (!finitel(w))
+ return (w + w); /* x is INF or NaN */
+ if (w < thr1) {
+ if (w < tinyl)
+ return (one + w); /* inexact+directed rounding */
+ t = expm1l(w);
+ w = one + t;
+ w = one + (t * t) / (w + w);
+ return (w);
+ }
+ if (w < thr2) {
+ t = expl(w);
+ return (half * (t + one / t));
+ }
+ if (w <= lnovft)
+ return (half * expl(w));
+ return (scalbnl(expl((w - lnovft) - lnovlo), 16383));
+}