diff options
Diffstat (limited to 'usr/src/lib/libm/common/Q/asinl.c')
-rw-r--r-- | usr/src/lib/libm/common/Q/asinl.c | 78 |
1 files changed, 78 insertions, 0 deletions
diff --git a/usr/src/lib/libm/common/Q/asinl.c b/usr/src/lib/libm/common/Q/asinl.c new file mode 100644 index 0000000000..8594a2195b --- /dev/null +++ b/usr/src/lib/libm/common/Q/asinl.c @@ -0,0 +1,78 @@ +/* + * 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. + */ + +#if defined(ELFOBJ) +#pragma weak asinl = __asinl +#endif + +/* + * asinl(x) = atan2l(x,sqrt(1-x*x)); + * + * For better accuracy, 1-x*x is computed as follows + * 1-x*x if x < 0.5, + * 2*(1-|x|)-(1-|x|)*(1-|x|) if x >= 0.5. + * + * Special cases: + * if x is NaN, return x itself; + * if |x|>1, return NaN with invalid signal. + */ + +#include "libm.h" + +static const long double zero = 0.0L, small = 1.0e-20L, half = 0.5L, one = 1.0L; +#ifndef lint +static const long double big = 1.0e+20L; +#endif + +long double +asinl(long double x) { + long double t, w; + volatile long double dummy; + + w = fabsl(x); + if (isnanl(x)) + return (x + x); + else if (w <= half) { + if (w < small) { +#ifndef lint + dummy = w + big; + /* inexact if w != 0 */ +#endif + return (x); + } else + return (atanl(x / sqrtl(one - x * x))); + } else if (w < one) { + t = one - w; + w = t + t; + return (atanl(x / sqrtl(w - t * t))); + } else if (w == one) + return (atan2l(x, zero)); /* asin(+-1) = +- PI/2 */ + else + return (zero / zero); /* |x| > 1: invalid */ +} |