Author: das
Date: Mon Jun 10 06:04:58 2013
New Revision: 251599
URL: http://svnweb.freebsd.org/changeset/base/251599
Log:
Add implementations of acoshl(), asinhl(), and atanhl(). This is a
merge of the work done by bde and myself.
Added:
head/lib/msun/src/e_acoshl.c
- copied, changed from r251484, head/lib/msun/src/e_acosh.c
head/lib/msun/src/e_atanhl.c
- copied, changed from r251484, head/lib/msun/src/e_atanh.c
head/lib/msun/src/s_asinhl.c
- copied, changed from r251484, head/lib/msun/src/s_asinh.c
Modified:
head/lib/msun/Makefile
head/lib/msun/Symbol.map
head/lib/msun/man/acosh.3
head/lib/msun/man/asinh.3
head/lib/msun/man/atanh.3
head/lib/msun/src/e_acosh.c
head/lib/msun/src/e_atanh.c
head/lib/msun/src/math.h
head/lib/msun/src/s_asinh.c
Modified: head/lib/msun/Makefile
==============================================================================
--- head/lib/msun/Makefile Mon Jun 10 06:03:03 2013 (r251598)
+++ head/lib/msun/Makefile Mon Jun 10 06:04:58 2013 (r251599)
@@ -94,10 +94,10 @@ SYMBOL_MAPS= ${SYM_MAPS}
COMMON_SRCS+= s_copysignl.c s_fabsl.c s_llrintl.c s_lrintl.c s_modfl.c
.if ${LDBL_PREC} != 53
# If long double != double use these; otherwise, we alias the double versions.
-COMMON_SRCS+= e_acosl.c e_asinl.c e_atan2l.c e_fmodl.c \
- e_hypotl.c e_remainderl.c e_sqrtl.c \
+COMMON_SRCS+= e_acoshl.c e_acosl.c e_asinl.c e_atan2l.c e_atanhl.c \
+ e_fmodl.c e_hypotl.c e_remainderl.c e_sqrtl.c \
invtrig.c k_cosl.c k_sinl.c k_tanl.c \
- s_atanl.c s_cbrtl.c s_ceill.c s_cosl.c s_cprojl.c \
+ s_asinhl.c s_atanl.c s_cbrtl.c s_ceill.c s_cosl.c s_cprojl.c \
s_csqrtl.c s_exp2l.c s_expl.c s_floorl.c s_fmal.c \
s_frexpl.c s_logbl.c s_logl.c s_nanl.c s_nextafterl.c \
s_nexttoward.c s_remquol.c s_rintl.c s_scalbnl.c \
@@ -138,11 +138,11 @@ MAN= acos.3 acosh.3 asin.3 asinh.3 atan.
complex.3
MLINKS+=acos.3 acosf.3 acos.3 acosl.3
-MLINKS+=acosh.3 acoshf.3
+MLINKS+=acosh.3 acoshf.3 acosh.3 acoshl.3
MLINKS+=asin.3 asinf.3 asin.3 asinl.3
-MLINKS+=asinh.3 asinhf.3
+MLINKS+=asinh.3 asinhf.3 asinh.3 asinhl.3
MLINKS+=atan.3 atanf.3 atan.3 atanl.3
-MLINKS+=atanh.3 atanhf.3
+MLINKS+=atanh.3 atanhf.3 atanh.3 atanhl.3
MLINKS+=atan2.3 atan2f.3 atan2.3 atan2l.3 \
atan2.3 carg.3 atan2.3 cargf.3 atan2.3 cargl.3
MLINKS+=cacos.3 cacosf.3 cacos.3 cacosh.3 cacos.3 cacoshf.3 \
Modified: head/lib/msun/Symbol.map
==============================================================================
--- head/lib/msun/Symbol.map Mon Jun 10 06:03:03 2013 (r251598)
+++ head/lib/msun/Symbol.map Mon Jun 10 06:04:58 2013 (r251599)
@@ -237,6 +237,9 @@ FBSD_1.3 {
fegetround;
fesetround;
fesetenv;
+ acoshl;
+ asinhl;
+ atanhl;
cacos;
cacosf;
cacosh;
Modified: head/lib/msun/man/acosh.3
==============================================================================
--- head/lib/msun/man/acosh.3 Mon Jun 10 06:03:03 2013 (r251598)
+++ head/lib/msun/man/acosh.3 Mon Jun 10 06:04:58 2013 (r251599)
@@ -28,12 +28,13 @@
.\" from: @(#)acosh.3 5.2 (Berkeley) 5/6/91
.\" $FreeBSD$
.\"
-.Dd January 14, 2005
+.Dd June 9, 2013
.Dt ACOSH 3
.Os
.Sh NAME
.Nm acosh ,
-.Nm acoshf
+.Nm acoshf ,
+.Nm acoshl
.Nd inverse hyperbolic cosine functions
.Sh LIBRARY
.Lb libm
@@ -43,11 +44,14 @@
.Fn acosh "double x"
.Ft float
.Fn acoshf "float x"
+.Ft long double
+.Fn acoshl "long double x"
.Sh DESCRIPTION
The
-.Fn acosh
-and the
-.Fn acoshf
+.Fn acosh ,
+.Fn acoshf ,
+and
+.Fn acoshl
functions compute the inverse hyperbolic cosine
of the real
argument
@@ -55,11 +59,7 @@ argument
For a discussion of error due to roundoff, see
.Xr math 3 .
.Sh RETURN VALUES
-The
-.Fn acosh
-and the
-.Fn acoshf
-functions
+These functions
return the inverse hyperbolic cosine of
.Ar x .
If the argument is less than 1,
@@ -73,6 +73,13 @@ raises an invalid exception and returns
.Xr math 3
.Sh HISTORY
The
-.Fn acosh
-function appeared in
-.Bx 4.3 .
+.Fn acosh ,
+.Fn acoshf ,
+and
+.Fn acoshl
+functions appeared in
+.Bx 4.3 ,
+.Fx 2.0 ,
+and
+.Fx 10.0 ,
+respectively.
Modified: head/lib/msun/man/asinh.3
==============================================================================
--- head/lib/msun/man/asinh.3 Mon Jun 10 06:03:03 2013 (r251598)
+++ head/lib/msun/man/asinh.3 Mon Jun 10 06:04:58 2013 (r251599)
@@ -28,12 +28,13 @@
.\" from: @(#)asinh.3 6.4 (Berkeley) 5/6/91
.\" $FreeBSD$
.\"
-.Dd May 6, 1991
+.Dd June 9, 2013
.Dt ASINH 3
.Os
.Sh NAME
.Nm asinh ,
-.Nm asinhf
+.Nm asinhf ,
+.Nm asinhl
.Nd inverse hyperbolic sine functions
.Sh LIBRARY
.Lb libm
@@ -43,11 +44,14 @@
.Fn asinh "double x"
.Ft float
.Fn asinhf "float x"
+.Ft long double
+.Fn asinhl "long double x"
.Sh DESCRIPTION
The
-.Fn asinh
-and the
-.Fn asinhf
+.Fn asinh ,
+.Fn asinhf ,
+and
+.Fn asinhl
functions compute the inverse hyperbolic sine
of the real
argument
@@ -55,11 +59,7 @@ argument
For a discussion of error due to roundoff, see
.Xr math 3 .
.Sh RETURN VALUES
-The
-.Fn asinh
-and the
-.Fn asinhf
-functions
+These functions
return the inverse hyperbolic sine of
.Ar x .
.Sh SEE ALSO
@@ -69,6 +69,13 @@ return the inverse hyperbolic sine of
.Xr math 3
.Sh HISTORY
The
-.Fn asinh
-function appeared in
-.Bx 4.3 .
+.Fn asinh ,
+.Fn asinhf ,
+and
+.Fn asinhl
+functions appeared in
+.Bx 4.3 ,
+.Fx 2.0 ,
+and
+.Fx 10.0 ,
+respectively.
Modified: head/lib/msun/man/atanh.3
==============================================================================
--- head/lib/msun/man/atanh.3 Mon Jun 10 06:03:03 2013 (r251598)
+++ head/lib/msun/man/atanh.3 Mon Jun 10 06:04:58 2013 (r251599)
@@ -28,12 +28,13 @@
.\" from: @(#)atanh.3 5.2 (Berkeley) 5/6/91
.\" $FreeBSD$
.\"
-.Dd January 14, 2005
+.Dd June 9, 2013
.Dt ATANH 3
.Os
.Sh NAME
.Nm atanh ,
-.Nm atanhf
+.Nm atanhf ,
+.Nm atanhl
.Nd inverse hyperbolic tangent functions
.Sh LIBRARY
.Lb libm
@@ -43,11 +44,14 @@
.Fn atanh "double x"
.Ft float
.Fn atanhf "float x"
+.Ft long double
+.Fn atanhl "long double x"
.Sh DESCRIPTION
The
-.Fn atanh
-and the
-.Fn atanhf
+.Fn atanh ,
+.Fn atanhf ,
+and
+.Fn atanhl
functions compute the inverse hyperbolic tangent
of the real
argument
@@ -55,11 +59,7 @@ argument
For a discussion of error due to roundoff, see
.Xr math 3 .
.Sh RETURN VALUES
-The
-.Fn atanh
-and the
-.Fn atanhf
-functions
+These functions
return the inverse hyperbolic tangent of
.Ar x
if successful.
@@ -76,6 +76,13 @@ If
.Xr math 3
.Sh HISTORY
The
-.Fn atanh
-function appeared in
-.Bx 4.3 .
+.Fn atanh ,
+.Fn atanhf ,
+and
+.Fn atanhl
+functions appeared in
+.Bx 4.3 ,
+.Fx 2.0 ,
+and
+.Fx 10.0 ,
+respectively.
Modified: head/lib/msun/src/e_acosh.c
==============================================================================
--- head/lib/msun/src/e_acosh.c Mon Jun 10 06:03:03 2013 (r251598)
+++ head/lib/msun/src/e_acosh.c Mon Jun 10 06:04:58 2013 (r251599)
@@ -29,6 +29,8 @@ __FBSDID("$FreeBSD$");
* acosh(NaN) is NaN without signal.
*/
+#include <float.h>
+
#include "math.h"
#include "math_private.h"
@@ -60,3 +62,7 @@ __ieee754_acosh(double x)
return log1p(t+sqrt(2.0*t+t*t));
}
}
+
+#if LDBL_MANT_DIG == 53
+__weak_reference(acosh, acoshl);
+#endif
Copied and modified: head/lib/msun/src/e_acoshl.c (from r251484,
head/lib/msun/src/e_acosh.c)
==============================================================================
--- head/lib/msun/src/e_acosh.c Fri Jun 7 05:18:07 2013 (r251484, copy
source)
+++ head/lib/msun/src/e_acoshl.c Mon Jun 10 06:04:58 2013
(r251599)
@@ -1,3 +1,4 @@
+/* from: FreeBSD: head/lib/msun/src/e_acosh.c 176451 2008-02-22 02:30:36Z das
*/
/* @(#)e_acosh.c 1.3 95/01/18 */
/*
@@ -15,48 +16,74 @@
#include <sys/cdefs.h>
__FBSDID("$FreeBSD$");
-/* __ieee754_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.
+/*
+ * See e_acosh.c for complete comments.
*
- * Special cases:
- * acosh(x) is NaN with signal if x<1.
- * acosh(NaN) is NaN without signal.
+ * Converted to long double by David Schultz <d...@freebsd.org> and
+ * Bruce D. Evans.
*/
+#include <float.h>
+#ifdef __i386__
+#include <ieeefp.h>
+#endif
+
+#include "fpmath.h"
#include "math.h"
#include "math_private.h"
+/* EXP_LARGE is the threshold above which we use acosh(x) ~= log(2x). */
+#if LDBL_MANT_DIG == 64
+#define EXP_LARGE 34
+#elif LDBL_MANT_DIG == 113
+#define EXP_LARGE 58
+#else
+#error "Unsupported long double format"
+#endif
+
+#if LDBL_MAX_EXP != 0x4000
+/* We also require the usual expsign encoding. */
+#error "Unsupported long double format"
+#endif
+
+#define BIAS (LDBL_MAX_EXP - 1)
+
static const double
-one = 1.0,
-ln2 = 6.93147180559945286227e-01; /* 0x3FE62E42, 0xFEFA39EF */
+one = 1.0;
+
+#if LDBL_MANT_DIG == 64
+static const union IEEEl2bits
+u_ln2 = LD80C(0xb17217f7d1cf79ac, -1, 6.93147180559945309417e-1L);
+#define ln2 u_ln2.e
+#elif LDBL_MANT_DIG == 113
+static const long double
+ln2 = 6.93147180559945309417232121458176568e-1L; /*
0x162e42fefa39ef35793c7673007e6.0p-113 */
+#else
+#error "Unsupported long double format"
+#endif
-double
-__ieee754_acosh(double x)
+long double
+acoshl(long double x)
{
- double t;
- int32_t hx;
- u_int32_t lx;
- EXTRACT_WORDS(hx,lx,x);
- if(hx<0x3ff00000) { /* x < 1 */
- return (x-x)/(x-x);
- } else if(hx >=0x41b00000) { /* x > 2**28 */
- if(hx >=0x7ff00000) { /* x is inf of NaN */
- return x+x;
+ long double t;
+ int16_t hx;
+
+ ENTERI();
+ GET_LDBL_EXPSIGN(hx, x);
+ if (hx < 0x3fff) { /* x < 1, or misnormal */
+ RETURNI((x-x)/(x-x));
+ } else if (hx >= BIAS + EXP_LARGE) { /* x >= LARGE */
+ if (hx >= 0x7fff) { /* x is inf, NaN or misnormal */
+ RETURNI(x+x);
} else
- return __ieee754_log(x)+ln2; /* acosh(huge)=log(2x) */
- } else if(((hx-0x3ff00000)|lx)==0) {
- return 0.0; /* acosh(1) = 0 */
- } else if (hx > 0x40000000) { /* 2**28 > x > 2 */
+ RETURNI(logl(x)+ln2); /* acosh(huge)=log(2x), or misnormal */
+ } else if (hx == 0x3fff && x == 1) {
+ RETURNI(0.0); /* acosh(1) = 0 */
+ } else if (hx >= 0x4000) { /* LARGE > x >= 2, or misnormal */
t=x*x;
- return __ieee754_log(2.0*x-one/(x+sqrt(t-one)));
+ RETURNI(logl(2.0*x-one/(x+sqrtl(t-one))));
} else { /* 1<x<2 */
t = x-one;
- return log1p(t+sqrt(2.0*t+t*t));
+ RETURNI(log1pl(t+sqrtl(2.0*t+t*t)));
}
}
Modified: head/lib/msun/src/e_atanh.c
==============================================================================
--- head/lib/msun/src/e_atanh.c Mon Jun 10 06:03:03 2013 (r251598)
+++ head/lib/msun/src/e_atanh.c Mon Jun 10 06:04:58 2013 (r251599)
@@ -33,6 +33,8 @@ __FBSDID("$FreeBSD$");
*
*/
+#include <float.h>
+
#include "math.h"
#include "math_private.h"
@@ -60,3 +62,7 @@ __ieee754_atanh(double x)
t = 0.5*log1p((x+x)/(one-x));
if(hx>=0) return t; else return -t;
}
+
+#if LDBL_MANT_DIG == 53
+__weak_reference(atanh, atanhl);
+#endif
Copied and modified: head/lib/msun/src/e_atanhl.c (from r251484,
head/lib/msun/src/e_atanh.c)
==============================================================================
--- head/lib/msun/src/e_atanh.c Fri Jun 7 05:18:07 2013 (r251484, copy
source)
+++ head/lib/msun/src/e_atanhl.c Mon Jun 10 06:04:58 2013
(r251599)
@@ -1,3 +1,4 @@
+/* from: FreeBSD: head/lib/msun/src/e_atanh.c 176451 2008-02-22 02:30:36Z das
*/
/* @(#)e_atanh.c 1.3 95/01/18 */
/*
@@ -15,48 +16,59 @@
#include <sys/cdefs.h>
__FBSDID("$FreeBSD$");
-/* __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.
+/*
+ * See e_atanh.c for complete comments.
*
+ * Converted to long double by David Schultz <d...@freebsd.org> and
+ * Bruce D. Evans.
*/
+#include <float.h>
+#ifdef __i386__
+#include <ieeefp.h>
+#endif
+
+#include "fpmath.h"
#include "math.h"
#include "math_private.h"
+/* EXP_TINY is the threshold below which we use atanh(x) ~= x. */
+#if LDBL_MANT_DIG == 64
+#define EXP_TINY -34
+#elif LDBL_MANT_DIG == 113
+#define EXP_TINY -58
+#else
+#error "Unsupported long double format"
+#endif
+
+#if LDBL_MAX_EXP != 0x4000
+/* We also require the usual expsign encoding. */
+#error "Unsupported long double format"
+#endif
+
+#define BIAS (LDBL_MAX_EXP - 1)
+
static const double one = 1.0, huge = 1e300;
static const double zero = 0.0;
-double
-__ieee754_atanh(double x)
+long double
+atanhl(long 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 */
+ long double t;
+ uint16_t hx, ix;
+
+ ENTERI();
+ GET_LDBL_EXPSIGN(hx, x);
+ ix = hx & 0x7fff;
+ if (ix >= 0x3fff) /* |x| >= 1, or NaN or misnormal */
+ RETURNI(fabsl(x) == 1 ? x / zero : (x - x) / (x - x));
+ if (ix < BIAS + EXP_TINY && (huge + x) > zero)
+ RETURNI(x); /* x is tiny */
+ SET_LDBL_EXPSIGN(x, ix);
+ if (ix < 0x3ffe) { /* |x| < 0.5, or misnormal */
t = x+x;
- t = 0.5*log1p(t+t*x/(one-x));
+ t = 0.5*log1pl(t+t*x/(one-x));
} else
- t = 0.5*log1p((x+x)/(one-x));
- if(hx>=0) return t; else return -t;
+ t = 0.5*log1pl((x+x)/(one-x));
+ RETURNI((hx & 0x8000) == 0 ? t : -t);
}
Modified: head/lib/msun/src/math.h
==============================================================================
--- head/lib/msun/src/math.h Mon Jun 10 06:03:03 2013 (r251598)
+++ head/lib/msun/src/math.h Mon Jun 10 06:04:58 2013 (r251599)
@@ -395,9 +395,12 @@ float significandf(float);
* long double versions of ISO/POSIX math functions
*/
#if __ISO_C_VISIBLE >= 1999
+long double acoshl(long double);
long double acosl(long double);
+long double asinhl(long double);
long double asinl(long double);
long double atan2l(long double, long double);
+long double atanhl(long double);
long double atanl(long double);
long double cbrtl(long double);
long double ceill(long double);
@@ -461,9 +464,6 @@ __END_DECLS
*/
__BEGIN_DECLS
-long double acoshl(long double);
-long double asinhl(long double);
-long double atanhl(long double);
long double coshl(long double);
long double erfcl(long double);
long double erfl(long double);
Modified: head/lib/msun/src/s_asinh.c
==============================================================================
--- head/lib/msun/src/s_asinh.c Mon Jun 10 06:03:03 2013 (r251598)
+++ head/lib/msun/src/s_asinh.c Mon Jun 10 06:04:58 2013 (r251599)
@@ -24,6 +24,8 @@ __FBSDID("$FreeBSD$");
* := sign(x)*log1p(|x| + x^2/(1 + sqrt(1+x^2)))
*/
+#include <float.h>
+
#include "math.h"
#include "math_private.h"
@@ -54,3 +56,7 @@ asinh(double x)
}
if(hx>0) return w; else return -w;
}
+
+#if LDBL_MANT_DIG == 53
+__weak_reference(asinh, asinhl);
+#endif
Copied and modified: head/lib/msun/src/s_asinhl.c (from r251484,
head/lib/msun/src/s_asinh.c)
==============================================================================
--- head/lib/msun/src/s_asinh.c Fri Jun 7 05:18:07 2013 (r251484, copy
source)
+++ head/lib/msun/src/s_asinhl.c Mon Jun 10 06:04:58 2013
(r251599)
@@ -1,3 +1,5 @@
+/* from: FreeBSD: head/lib/msun/src/e_acosh.c 176451 2008-02-22 02:30:36Z das
*/
+
/* @(#)s_asinh.c 5.1 93/09/24 */
/*
* ====================================================
@@ -13,44 +15,77 @@
#include <sys/cdefs.h>
__FBSDID("$FreeBSD$");
-/* asinh(x)
- * Method :
- * Based on
- * asinh(x) = sign(x) * log [ |x| + sqrt(x*x+1) ]
- * we have
- * asinh(x) := x if 1+x*x=1,
- * := sign(x)*(log(x)+ln2)) for large |x|, else
- * := sign(x)*log(2|x|+1/(|x|+sqrt(x*x+1))) if|x|>2, else
- * := sign(x)*log1p(|x| + x^2/(1 + sqrt(1+x^2)))
+/*
+ * See s_asinh.c for complete comments.
+ *
+ * Converted to long double by David Schultz <d...@freebsd.org> and
+ * Bruce D. Evans.
*/
+#include <float.h>
+#ifdef __i386__
+#include <ieeefp.h>
+#endif
+
+#include "fpmath.h"
#include "math.h"
#include "math_private.h"
+/* EXP_LARGE is the threshold above which we use asinh(x) ~= log(2x). */
+/* EXP_TINY is the threshold below which we use asinh(x) ~= x. */
+#if LDBL_MANT_DIG == 64
+#define EXP_LARGE 34
+#define EXP_TINY -34
+#elif LDBL_MANT_DIG == 113
+#define EXP_LARGE 58
+#define EXP_TINY -58
+#else
+#error "Unsupported long double format"
+#endif
+
+#if LDBL_MAX_EXP != 0x4000
+/* We also require the usual expsign encoding. */
+#error "Unsupported long double format"
+#endif
+
+#define BIAS (LDBL_MAX_EXP - 1)
+
static const double
one = 1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */
-ln2 = 6.93147180559945286227e-01, /* 0x3FE62E42, 0xFEFA39EF */
huge= 1.00000000000000000000e+300;
-double
-asinh(double x)
+#if LDBL_MANT_DIG == 64
+static const union IEEEl2bits
+u_ln2 = LD80C(0xb17217f7d1cf79ac, -1, 6.93147180559945309417e-1L);
+#define ln2 u_ln2.e
+#elif LDBL_MANT_DIG == 113
+static const long double
+ln2 = 6.93147180559945309417232121458176568e-1L; /*
0x162e42fefa39ef35793c7673007e6.0p-113 */
+#else
+#error "Unsupported long double format"
+#endif
+
+long double
+asinhl(long double x)
{
- double t,w;
- int32_t hx,ix;
- GET_HIGH_WORD(hx,x);
- ix = hx&0x7fffffff;
- if(ix>=0x7ff00000) return x+x; /* x is inf or NaN */
- if(ix< 0x3e300000) { /* |x|<2**-28 */
- if(huge+x>one) return x; /* return x inexact except 0 */
+ long double t, w;
+ uint16_t hx, ix;
+
+ ENTERI();
+ GET_LDBL_EXPSIGN(hx, x);
+ ix = hx & 0x7fff;
+ if (ix >= 0x7fff) RETURNI(x+x); /* x is inf, NaN or misnormal */
+ if (ix < BIAS + EXP_TINY) { /* |x| < TINY, or misnormal */
+ if (huge + x > one) RETURNI(x); /* return x inexact except 0 */
}
- if(ix>0x41b00000) { /* |x| > 2**28 */
- w = __ieee754_log(fabs(x))+ln2;
- } else if (ix>0x40000000) { /* 2**28 > |x| > 2.0 */
- t = fabs(x);
- w = __ieee754_log(2.0*t+one/(__ieee754_sqrt(x*x+one)+t));
- } else { /* 2.0 > |x| > 2**-28 */
+ if (ix >= BIAS + EXP_LARGE) { /* |x| >= LARGE, or misnormal */
+ w = logl(fabsl(x))+ln2;
+ } else if (ix >= 0x4000) { /* LARGE > |x| >= 2.0, or misnormal */
+ t = fabsl(x);
+ w = logl(2.0*t+one/(sqrtl(x*x+one)+t));
+ } else { /* 2.0 > |x| >= TINY, or misnormal */
t = x*x;
- w =log1p(fabs(x)+t/(one+__ieee754_sqrt(one+t)));
+ w =log1pl(fabsl(x)+t/(one+sqrtl(one+t)));
}
- if(hx>0) return w; else return -w;
+ RETURNI((hx & 0x8000) == 0 ? w : -w);
}
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