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Add implementations of acoshl(), asinhl(), and atanhl(). This is a

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merge of the work done by bde and myself.
This commit is contained in:
David Schultz 2013-06-10 06:04:58 +00:00
parent 7a62fe0f3e
commit 998b640bcb
12 changed files with 344 additions and 48 deletions
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12
lib/msun/Makefile
View File

@ -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.3 atan2.3 atanh.3 \
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 \

3
lib/msun/Symbol.map
View File

@ -237,6 +237,9 @@ FBSD_1.3 {
fegetround;
fesetround;
fesetenv;
acoshl;
asinhl;
atanhl;
cacos;
cacosf;
cacosh;

33
lib/msun/man/acosh.3
View File

@ -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 an \*(Na.
.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.

33
lib/msun/man/asinh.3
View File

@ -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.

33
lib/msun/man/atanh.3
View File

@ -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.

6
lib/msun/src/e_acosh.c
View File

@ -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

89
lib/msun/src/e_acoshl.c Normal file
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@ -0,0 +1,89 @@
/* 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 */
/*
* ====================================================
* Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
*
* Developed at SunSoft, a Sun Microsystems, Inc. business.
* Permission to use, copy, modify, and distribute this
* software is freely granted, provided that this notice
* is preserved.
* ====================================================
*
*/
#include <sys/cdefs.h>
__FBSDID("$FreeBSD$");
/*
* See e_acosh.c for complete comments.
*
* Converted to long double by David Schultz <das@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;
#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
acoshl(long double 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
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;
RETURNI(logl(2.0*x-one/(x+sqrtl(t-one))));
} else { /* 1<x<2 */
t = x-one;
RETURNI(log1pl(t+sqrtl(2.0*t+t*t)));
}
}

6
lib/msun/src/e_atanh.c
View File

@ -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

74
lib/msun/src/e_atanhl.c Normal file
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@ -0,0 +1,74 @@
/* 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 */
/*
* ====================================================
* Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
*
* Developed at SunSoft, a Sun Microsystems, Inc. business.
* Permission to use, copy, modify, and distribute this
* software is freely granted, provided that this notice
* is preserved.
* ====================================================
*
*/
#include <sys/cdefs.h>
__FBSDID("$FreeBSD$");
/*
* See e_atanh.c for complete comments.
*
* Converted to long double by David Schultz <das@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;
long double
atanhl(long double x)
{
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*log1pl(t+t*x/(one-x));
} else
t = 0.5*log1pl((x+x)/(one-x));
RETURNI((hx & 0x8000) == 0 ? t : -t);
}

6
lib/msun/src/math.h
View File

@ -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);

6
lib/msun/src/s_asinh.c
View File

@ -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

91
lib/msun/src/s_asinhl.c Normal file
View File

@ -0,0 +1,91 @@
/* 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 */
/*
* ====================================================
* 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.
* ====================================================
*/
#include <sys/cdefs.h>
__FBSDID("$FreeBSD$");
/*
* See s_asinh.c for complete comments.
*
* Converted to long double by David Schultz <das@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 */
huge= 1.00000000000000000000e+300;
#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)
{
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 >= 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 =log1pl(fabsl(x)+t/(one+sqrtl(one+t)));
}
RETURNI((hx & 0x8000) == 0 ? w : -w);
}