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authorUlrich Drepper <drepper@gmail.com>2011-10-12 11:27:51 -0400
committerUlrich Drepper <drepper@gmail.com>2011-10-12 11:27:51 -0400
commit0ac5ae2335292908f39031b1ea9fe8edce433c0f (patch)
treef9d26c8abc0de39d18d4c13e70f6022cdc6b461f /sysdeps/ieee754/dbl-64/e_atanh.c
parenta843a204a3e8a0dd53584dad3668771abaec84ac (diff)
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Optimize libm
libm is now somewhat integrated with gcc's -ffinite-math-only option and lots of the wrapper functions have been optimized.
Diffstat (limited to 'sysdeps/ieee754/dbl-64/e_atanh.c')
-rw-r--r--sysdeps/ieee754/dbl-64/e_atanh.c122
1 files changed, 59 insertions, 63 deletions
diff --git a/sysdeps/ieee754/dbl-64/e_atanh.c b/sysdeps/ieee754/dbl-64/e_atanh.c
index fa4fe675c9..de3bc8f144 100644
--- a/sysdeps/ieee754/dbl-64/e_atanh.c
+++ b/sysdeps/ieee754/dbl-64/e_atanh.c
@@ -1,74 +1,70 @@
-/* @(#)e_atanh.c 5.1 93/09/24 */
-/*
- * ====================================================
- * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
- *
- * Developed at SunPro, a Sun Microsystems, Inc. business.
- * Permission to use, copy, modify, and distribute this
- * software is freely granted, provided that this notice
- * is preserved.
- * ====================================================
- */
+/* Copyright (C) 2011 Free Software Foundation, Inc.
+ This file is part of the GNU C Library.
+ Contributed by Ulrich Drepper <drepper@gmail.com>, 2011.
+
+ The GNU C Library is free software; you can redistribute it and/or
+ modify it under the terms of the GNU Lesser General Public
+ License as published by the Free Software Foundation; either
+ version 2.1 of the License, or (at your option) any later version.
+
+ The GNU C Library is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+ Lesser General Public License for more details.
+
+ You should have received a copy of the GNU Lesser General Public
+ License along with the GNU C Library; if not, write to the Free
+ Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA
+ 02111-1307 USA. */
-#if defined(LIBM_SCCS) && !defined(lint)
-static char rcsid[] = "$NetBSD: e_atanh.c,v 1.8 1995/05/10 20:44:55 jtc Exp $";
-#endif
/* __ieee754_atanh(x)
- * Method :
- * 1.Reduced x to positive by atanh(-x) = -atanh(x)
- * 2.For x>=0.5
- * 1 2x x
- * atanh(x) = --- * log(1 + -------) = 0.5 * log1p(2 * --------)
- * 2 1 - x 1 - x
- *
- * For x<0.5
- * atanh(x) = 0.5*log1p(2x+2x*x/(1-x))
- *
- * Special cases:
- * atanh(x) is NaN if |x| > 1 with signal;
- * atanh(NaN) is that NaN with no signal;
- * atanh(+-1) is +-INF with signal.
- *
+ Method :
+ 1.Reduced x to positive by atanh(-x) = -atanh(x)
+ 2.For x>=0.5
+ 1 2x x
+ atanh(x) = --- * log(1 + -------) = 0.5 * log1p(2 * --------)
+ 2 1 - x 1 - x
+
+ For x<0.5
+ atanh(x) = 0.5*log1p(2x+2x*x/(1-x))
+
+ Special cases:
+ atanh(x) is NaN if |x| > 1 with signal;
+ atanh(NaN) is that NaN with no signal;
+ atanh(+-1) is +-INF with signal.
+
*/
+#include <inttypes.h>
#include "math.h"
#include "math_private.h"
-#ifdef __STDC__
-static const double one = 1.0, huge = 1e300;
-#else
-static double one = 1.0, huge = 1e300;
-#endif
-
-#ifdef __STDC__
-static const double zero = 0.0;
-#else
-static double zero = 0.0;
-#endif
+static const double huge = 1e300;
-#ifdef __STDC__
- double __ieee754_atanh(double x)
-#else
- double __ieee754_atanh(x)
- double x;
-#endif
+double
+__ieee754_atanh (double x)
{
- double t;
- int32_t hx,ix;
- u_int32_t lx;
- EXTRACT_WORDS(hx,lx,x);
- ix = hx&0x7fffffff;
- if ((ix|((lx|(-lx))>>31))>0x3ff00000) /* |x|>1 */
- return (x-x)/(x-x);
- if(ix==0x3ff00000)
- return x/zero;
- if(ix<0x3e300000&&(huge+x)>zero) return x; /* x<2**-28 */
- SET_HIGH_WORD(x,ix);
- if(ix<0x3fe00000) { /* x < 0.5 */
- t = x+x;
- t = 0.5*__log1p(t+t*x/(one-x));
- } else
- t = 0.5*__log1p((x+x)/(one-x));
- if(hx>=0) return t; else return -t;
+ double xa = fabs (x);
+ double t;
+ if (xa < 0.5)
+ {
+ if (__builtin_expect (xa < 0x1.0p-28, 0) && (huge + x) > 0.0)
+ return x;
+
+ t = xa + xa;
+ t = 0.5 * __log1p (t + t * xa / (1.0 - xa));
+ }
+ else if (__builtin_expect (xa < 1.0, 1))
+ t = 0.5 * __log1p ((xa + xa) / (1.0 - xa));
+ else
+ {
+ if (xa > 1.0)
+ return (x - x) / (x - x);
+
+ return x / 0.0;
+ }
+
+ return __copysign (t, x);
}
+strong_alias (__ieee754_atanh, __atanh_finite)