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Diffstat (limited to 'usr/src/lib/libm/common/C/cosh.c')
-rw-r--r-- | usr/src/lib/libm/common/C/cosh.c | 90 |
1 files changed, 90 insertions, 0 deletions
diff --git a/usr/src/lib/libm/common/C/cosh.c b/usr/src/lib/libm/common/C/cosh.c new file mode 100644 index 0000000000..91573149e6 --- /dev/null +++ b/usr/src/lib/libm/common/C/cosh.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 2005 Sun Microsystems, Inc. All rights reserved. + * Use is subject to license terms. + */ + +#pragma weak cosh = __cosh + +/* INDENT OFF */ +/* + * cosh(x) + * Code originated from 4.3bsd. + * Modified by K.C. Ng for SUN 4.0 libm. + * 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 <= 22 : cosh(x) := ------------------- + * 2 + * 22 <= x <= lnovft : cosh(x) := exp(x)/2 + * lnovft <= x < INF : cosh(x) := scalbn(exp(x-1024*ln2),1023) + * + * Note: .3465 is a number near one half of ln2. + * + * Special cases: + * cosh(x) is |x| if x is +INF, -INF, or NaN. + * only cosh(0)=1 is exact for finite x. + */ +/* INDENT ON */ + +#include "libm.h" + +static const double + ln2 = 6.93147180559945286227e-01, + ln2hi = 6.93147180369123816490e-01, + ln2lo = 1.90821492927058770002e-10, + lnovft = 7.09782712893383973096e+02; + +double +cosh(double x) { + double t, w; + + w = fabs(x); + if (!finite(w)) + return (w * w); + if (w < 0.3465) { + t = expm1(w); + w = 1.0 + t; + if (w != 1.0) + w = 1.0 + (t * t) / (w + w); + return (w); + } else if (w < 22.0) { + t = exp(w); + return (0.5 * (t + 1.0 / t)); + } else if (w <= lnovft) { + return (0.5 * exp(w)); + } else { + w = (w - 1024 * ln2hi) - 1024 * ln2lo; + if (w >= ln2) + return (_SVID_libm_err(x, x, 5)); + else + return (scalbn(exp(w), 1023)); + } +} |