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5
Commits
| Author | SHA1 | Date | |
|---|---|---|---|
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dc230e23df | ||
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7dc9a7c1aa | ||
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309a2d3d35 | ||
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e260a9f8a9 | ||
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eb38f71b35 |
@@ -14,7 +14,7 @@ Major new features:
|
||||
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||||
* Optimized x86-64 trunc and truncf for processors with SSE4.1.
|
||||
|
||||
* Optimized generic expf, exp2f, logf.
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||||
* Optimized generic expf, exp2f, logf, log2f and powf.
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||||
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||||
* In order to support faster and safer process termination the malloc API
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||||
family of functions will no longer print a failure address and stack
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+2
-1
@@ -115,7 +115,8 @@ type-double-routines := branred doasin dosincos halfulp mpa mpatan2 \
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# float support
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||||
type-float-suffix := f
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type-float-routines := k_rem_pio2f math_errf e_exp2f_data e_logf_data
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type-float-routines := k_rem_pio2f math_errf e_exp2f_data e_logf_data \
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e_log2f_data e_powf_log2_data
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||||
|
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# _Float128 support
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||||
type-float128-suffix := f128
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||||
|
||||
+1
-1
@@ -230,6 +230,6 @@ libm {
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fromfpx; fromfpxf; fromfpxl; ufromfpx; ufromfpxf; ufromfpxl;
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}
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||||
GLIBC_2.27 {
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expf; exp2f;
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expf; exp2f; logf; log2f; powf;
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}
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||||
}
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||||
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||||
@@ -0,0 +1,7 @@
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||||
#include <math-type-macros-float.h>
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||||
#undef __USE_WRAPPER_TEMPLATE
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||||
#define __USE_WRAPPER_TEMPLATE 1
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||||
#undef declare_mgen_alias
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||||
#define declare_mgen_alias(a, b)
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#include <w_log2_template.c>
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versioned_symbol (libm, __log2f, log2f, GLIBC_2_27);
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@@ -23,10 +23,10 @@
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#include <libm-alias-float.h>
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||||
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||||
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#if LIBM_SVID_COMPAT
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#if LIBM_SVID_COMPAT && SHLIB_COMPAT (libm, GLIBC_2_1, GLIBC_2_27)
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/* wrapper log2f(x) */
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float
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__log2f (float x)
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||||
__log2f_compat (float x)
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||||
{
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||||
if (__builtin_expect (islessequal (x, 0.0f), 0) && _LIB_VERSION != _IEEE_)
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||||
{
|
||||
@@ -44,5 +44,5 @@ __log2f (float x)
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return __ieee754_log2f (x);
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||||
}
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||||
libm_alias_float (__log2, log2)
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||||
compat_symbol (libm, __log2f_compat, log2f, GLIBC_2_1);
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||||
#endif
|
||||
|
||||
@@ -0,0 +1,7 @@
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||||
#include <math-type-macros-float.h>
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||||
#undef __USE_WRAPPER_TEMPLATE
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||||
#define __USE_WRAPPER_TEMPLATE 1
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||||
#undef declare_mgen_alias
|
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#define declare_mgen_alias(a, b)
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||||
#include <w_log_template.c>
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||||
versioned_symbol (libm, __logf, logf, GLIBC_2_27);
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||||
@@ -23,10 +23,10 @@
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||||
#include <libm-alias-float.h>
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||||
|
||||
|
||||
#if LIBM_SVID_COMPAT
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#if LIBM_SVID_COMPAT && SHLIB_COMPAT (libm, GLIBC_2_0, GLIBC_2_27)
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||||
/* wrapper logf(x) */
|
||||
float
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||||
__logf (float x)
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__logf_compat (float x)
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||||
{
|
||||
if (__builtin_expect (islessequal (x, 0.0f), 0) && _LIB_VERSION != _IEEE_)
|
||||
{
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||||
@@ -44,5 +44,5 @@ __logf (float x)
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||||
|
||||
return __ieee754_logf (x);
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||||
}
|
||||
libm_alias_float (__log, log)
|
||||
compat_symbol (libm, __logf_compat, logf, GLIBC_2_0);
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||||
#endif
|
||||
|
||||
@@ -0,0 +1,7 @@
|
||||
#include <math-type-macros-float.h>
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||||
#undef __USE_WRAPPER_TEMPLATE
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||||
#define __USE_WRAPPER_TEMPLATE 1
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||||
#undef declare_mgen_alias
|
||||
#define declare_mgen_alias(a, b)
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||||
#include <w_pow_template.c>
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||||
versioned_symbol (libm, __powf, powf, GLIBC_2_27);
|
||||
@@ -22,10 +22,10 @@
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||||
#include <libm-alias-float.h>
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||||
|
||||
|
||||
#if LIBM_SVID_COMPAT
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||||
#if LIBM_SVID_COMPAT && SHLIB_COMPAT (libm, GLIBC_2_0, GLIBC_2_27)
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||||
/* wrapper powf */
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||||
float
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||||
__powf (float x, float y)
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||||
__powf_compat (float x, float y)
|
||||
{
|
||||
float z = __ieee754_powf (x, y);
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||||
if (__glibc_unlikely (!isfinite (z)))
|
||||
@@ -60,5 +60,5 @@ __powf (float x, float y)
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||||
|
||||
return z;
|
||||
}
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||||
libm_alias_float (__pow, pow)
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||||
compat_symbol (libm, __powf_compat, powf, GLIBC_2_0);
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||||
#endif
|
||||
|
||||
@@ -0,0 +1 @@
|
||||
/* Not needed. */
|
||||
@@ -0,0 +1 @@
|
||||
/* Not needed. */
|
||||
@@ -0,0 +1 @@
|
||||
#include <sysdeps/../math/w_exp2f.c>
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||||
@@ -0,0 +1 @@
|
||||
#include <sysdeps/../math/w_expf.c>
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||||
@@ -0,0 +1 @@
|
||||
#include <sysdeps/../math/w_log2f.c>
|
||||
@@ -0,0 +1 @@
|
||||
#include <sysdeps/../math/w_logf.c>
|
||||
@@ -0,0 +1 @@
|
||||
#include <sysdeps/../math/w_powf.c>
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||||
@@ -0,0 +1 @@
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||||
#include <sysdeps/../math/w_expf.c>
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@@ -252,7 +252,7 @@ LOCAL_OBJECT_END(T_table)
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|
||||
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.section .text
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GLOBAL_LIBM_ENTRY(log2f)
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GLOBAL_LIBM_ENTRY(__log2f)
|
||||
|
||||
{ .mfi
|
||||
alloc r32=ar.pfs,1,4,4,0
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||||
@@ -491,7 +491,13 @@ SPECIAL_log2f:
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||||
br.ret.sptk b0;;
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||||
}
|
||||
|
||||
GLOBAL_LIBM_END(log2f)
|
||||
GLOBAL_LIBM_END(__log2f)
|
||||
#ifdef SHARED
|
||||
.symver __log2f,log2f@@GLIBC_2.27
|
||||
.weak __log2f_compat
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.set __log2f_compat,__log2f
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||||
.symver __log2f_compat,log2f@GLIBC_2.2
|
||||
#endif
|
||||
|
||||
|
||||
LOCAL_LIBM_ENTRY(__libm_error_region)
|
||||
|
||||
@@ -0,0 +1 @@
|
||||
/* Not needed. */
|
||||
@@ -1088,6 +1088,12 @@ logf_libm_err:
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||||
nop.i 0
|
||||
};;
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||||
GLOBAL_IEEE754_END(logf)
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||||
#ifdef SHARED
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||||
.symver logf,logf@@GLIBC_2.27
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.weak __logf_compat
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.set __logf_compat,__logf
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.symver __logf_compat,logf@GLIBC_2.2
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||||
#endif
|
||||
|
||||
|
||||
// Stack operations when calling error support.
|
||||
|
||||
@@ -868,7 +868,7 @@ data8 0xEAC0C6E7DD24392F , 0x00003FFF
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||||
LOCAL_OBJECT_END(pow_tbl2)
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||||
|
||||
.section .text
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||||
GLOBAL_LIBM_ENTRY(powf)
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||||
GLOBAL_LIBM_ENTRY(__powf)
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||||
|
||||
// Get exponent of x. Will be used to calculate K.
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||||
{ .mfi
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||||
@@ -2002,7 +2002,13 @@ POW_OVER_UNDER_ERROR:
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||||
}
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||||
;;
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||||
|
||||
GLOBAL_LIBM_END(powf)
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||||
GLOBAL_LIBM_END(__powf)
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||||
#ifdef SHARED
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||||
.symver __powf,powf@@GLIBC_2.27
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||||
.weak __powf_compat
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||||
.set __powf_compat,__powf
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||||
.symver __powf_compat,powf@GLIBC_2.2
|
||||
#endif
|
||||
|
||||
|
||||
LOCAL_LIBM_ENTRY(__libm_error_region)
|
||||
|
||||
@@ -0,0 +1 @@
|
||||
/* Not needed. */
|
||||
@@ -18,6 +18,7 @@
|
||||
|
||||
#include <math.h>
|
||||
#include <stdint.h>
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||||
#include <shlib-compat.h>
|
||||
#include "math_config.h"
|
||||
|
||||
/*
|
||||
@@ -42,7 +43,7 @@ top12 (float x)
|
||||
}
|
||||
|
||||
float
|
||||
__ieee754_exp2f (float x)
|
||||
__exp2f (float x)
|
||||
{
|
||||
uint32_t abstop;
|
||||
uint64_t ki, t;
|
||||
@@ -85,4 +86,8 @@ __ieee754_exp2f (float x)
|
||||
y = y * s;
|
||||
return (float) y;
|
||||
}
|
||||
strong_alias (__ieee754_exp2f, __exp2f_finite)
|
||||
#ifndef __exp2f
|
||||
strong_alias (__exp2f, __ieee754_exp2f)
|
||||
strong_alias (__exp2f, __exp2f_finite)
|
||||
versioned_symbol (libm, __exp2f, exp2f, GLIBC_2_27);
|
||||
#endif
|
||||
|
||||
@@ -16,8 +16,14 @@
|
||||
License along with the GNU C Library; if not, see
|
||||
<http://www.gnu.org/licenses/>. */
|
||||
|
||||
#ifdef __expf
|
||||
# undef libm_hidden_proto
|
||||
# define libm_hidden_proto(ignored)
|
||||
#endif
|
||||
|
||||
#include <math.h>
|
||||
#include <stdint.h>
|
||||
#include <shlib-compat.h>
|
||||
#include "math_config.h"
|
||||
|
||||
/*
|
||||
@@ -42,7 +48,7 @@ top12 (float x)
|
||||
}
|
||||
|
||||
float
|
||||
__ieee754_expf (float x)
|
||||
__expf (float x)
|
||||
{
|
||||
uint32_t abstop;
|
||||
uint64_t ki, t;
|
||||
@@ -99,4 +105,10 @@ __ieee754_expf (float x)
|
||||
y = y * s;
|
||||
return (float) y;
|
||||
}
|
||||
strong_alias (__ieee754_expf, __expf_finite)
|
||||
|
||||
#ifndef __expf
|
||||
hidden_def (__expf)
|
||||
strong_alias (__expf, __ieee754_expf)
|
||||
strong_alias (__expf, __expf_finite)
|
||||
versioned_symbol (libm, __expf, expf, GLIBC_2_27);
|
||||
#endif
|
||||
|
||||
@@ -1,86 +1,93 @@
|
||||
/* e_logf.c -- float version of e_log.c.
|
||||
* Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
|
||||
* adapted for log2 by Ulrich Drepper <drepper@cygnus.com>
|
||||
*/
|
||||
/* Single-precision log2 function.
|
||||
Copyright (C) 2017 Free Software Foundation, Inc.
|
||||
This file is part of the GNU C Library.
|
||||
|
||||
/*
|
||||
* ====================================================
|
||||
* 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.
|
||||
* ====================================================
|
||||
*/
|
||||
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, see
|
||||
<http://www.gnu.org/licenses/>. */
|
||||
|
||||
#include <math.h>
|
||||
#include <math_private.h>
|
||||
#include <fix-int-fp-convert-zero.h>
|
||||
#include <stdint.h>
|
||||
#include <shlib-compat.h>
|
||||
#include "math_config.h"
|
||||
|
||||
static const float
|
||||
ln2 = 0.69314718055994530942,
|
||||
two25 = 3.355443200e+07, /* 0x4c000000 */
|
||||
Lg1 = 6.6666668653e-01, /* 3F2AAAAB */
|
||||
Lg2 = 4.0000000596e-01, /* 3ECCCCCD */
|
||||
Lg3 = 2.8571429849e-01, /* 3E924925 */
|
||||
Lg4 = 2.2222198546e-01, /* 3E638E29 */
|
||||
Lg5 = 1.8183572590e-01, /* 3E3A3325 */
|
||||
Lg6 = 1.5313838422e-01, /* 3E1CD04F */
|
||||
Lg7 = 1.4798198640e-01; /* 3E178897 */
|
||||
/*
|
||||
LOG2F_TABLE_BITS = 4
|
||||
LOG2F_POLY_ORDER = 4
|
||||
|
||||
static const float zero = 0.0;
|
||||
ULP error: 0.752 (nearest rounding.)
|
||||
Relative error: 1.9 * 2^-26 (before rounding.)
|
||||
*/
|
||||
|
||||
#define N (1 << LOG2F_TABLE_BITS)
|
||||
#define T __log2f_data.tab
|
||||
#define A __log2f_data.poly
|
||||
#define OFF 0x3f330000
|
||||
|
||||
float
|
||||
__ieee754_log2f(float x)
|
||||
__log2f (float x)
|
||||
{
|
||||
float hfsq,f,s,z,R,w,t1,t2,dk;
|
||||
int32_t k,ix,i,j;
|
||||
/* double_t for better performance on targets with FLT_EVAL_METHOD==2. */
|
||||
double_t z, r, r2, p, y, y0, invc, logc;
|
||||
uint32_t ix, iz, top, tmp;
|
||||
int k, i;
|
||||
|
||||
GET_FLOAT_WORD(ix,x);
|
||||
ix = asuint (x);
|
||||
#if WANT_ROUNDING
|
||||
/* Fix sign of zero with downward rounding when x==1. */
|
||||
if (__glibc_unlikely (ix == 0x3f800000))
|
||||
return 0;
|
||||
#endif
|
||||
if (__glibc_unlikely (ix - 0x00800000 >= 0x7f800000 - 0x00800000))
|
||||
{
|
||||
/* x < 0x1p-126 or inf or nan. */
|
||||
if (ix * 2 == 0)
|
||||
return __math_divzerof (1);
|
||||
if (ix == 0x7f800000) /* log2(inf) == inf. */
|
||||
return x;
|
||||
if ((ix & 0x80000000) || ix * 2 >= 0xff000000)
|
||||
return __math_invalidf (x);
|
||||
/* x is subnormal, normalize it. */
|
||||
ix = asuint (x * 0x1p23f);
|
||||
ix -= 23 << 23;
|
||||
}
|
||||
|
||||
k=0;
|
||||
if (ix < 0x00800000) { /* x < 2**-126 */
|
||||
if (__builtin_expect((ix&0x7fffffff)==0, 0))
|
||||
return -two25/__fabsf (x); /* log(+-0)=-inf */
|
||||
if (__builtin_expect(ix<0, 0))
|
||||
return (x-x)/(x-x); /* log(-#) = NaN */
|
||||
k -= 25; x *= two25; /* subnormal number, scale up x */
|
||||
GET_FLOAT_WORD(ix,x);
|
||||
}
|
||||
if (__builtin_expect(ix >= 0x7f800000, 0)) return x+x;
|
||||
k += (ix>>23)-127;
|
||||
ix &= 0x007fffff;
|
||||
i = (ix+(0x95f64<<3))&0x800000;
|
||||
SET_FLOAT_WORD(x,ix|(i^0x3f800000)); /* normalize x or x/2 */
|
||||
k += (i>>23);
|
||||
dk = (float)k;
|
||||
f = x-(float)1.0;
|
||||
if((0x007fffff&(15+ix))<16) { /* |f| < 2**-20 */
|
||||
if(f==zero)
|
||||
{
|
||||
if (FIX_INT_FP_CONVERT_ZERO && dk == 0.0f)
|
||||
dk = 0.0f;
|
||||
return dk;
|
||||
}
|
||||
R = f*f*((float)0.5-(float)0.33333333333333333*f);
|
||||
return dk-(R-f)/ln2;
|
||||
}
|
||||
s = f/((float)2.0+f);
|
||||
z = s*s;
|
||||
i = ix-(0x6147a<<3);
|
||||
w = z*z;
|
||||
j = (0x6b851<<3)-ix;
|
||||
t1= w*(Lg2+w*(Lg4+w*Lg6));
|
||||
t2= z*(Lg1+w*(Lg3+w*(Lg5+w*Lg7)));
|
||||
i |= j;
|
||||
R = t2+t1;
|
||||
if(i>0) {
|
||||
hfsq=(float)0.5*f*f;
|
||||
return dk-((hfsq-(s*(hfsq+R)))-f)/ln2;
|
||||
} else {
|
||||
return dk-((s*(f-R))-f)/ln2;
|
||||
}
|
||||
/* x = 2^k z; where z is in range [OFF,2*OFF] and exact.
|
||||
The range is split into N subintervals.
|
||||
The ith subinterval contains z and c is near its center. */
|
||||
tmp = ix - OFF;
|
||||
i = (tmp >> (23 - LOG2F_TABLE_BITS)) % N;
|
||||
top = tmp & 0xff800000;
|
||||
iz = ix - top;
|
||||
k = (int32_t) tmp >> 23; /* arithmetic shift */
|
||||
invc = T[i].invc;
|
||||
logc = T[i].logc;
|
||||
z = (double_t) asfloat (iz);
|
||||
|
||||
/* log2(x) = log1p(z/c-1)/ln2 + log2(c) + k */
|
||||
r = z * invc - 1;
|
||||
y0 = logc + (double_t) k;
|
||||
|
||||
/* Pipelined polynomial evaluation to approximate log1p(r)/ln2. */
|
||||
r2 = r * r;
|
||||
y = A[1] * r + A[2];
|
||||
y = A[0] * r2 + y;
|
||||
p = A[3] * r + y0;
|
||||
y = y * r2 + p;
|
||||
return (float) y;
|
||||
}
|
||||
strong_alias (__ieee754_log2f, __log2f_finite)
|
||||
#ifndef __log2f
|
||||
strong_alias (__log2f, __ieee754_log2f)
|
||||
strong_alias (__log2f, __log2f_finite)
|
||||
versioned_symbol (libm, __log2f, log2f, GLIBC_2_27);
|
||||
#endif
|
||||
|
||||
@@ -0,0 +1,44 @@
|
||||
/* Data definition for log2f.
|
||||
Copyright (C) 2017 Free Software Foundation, Inc.
|
||||
This file is part of the GNU C Library.
|
||||
|
||||
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, see
|
||||
<http://www.gnu.org/licenses/>. */
|
||||
|
||||
#include "math_config.h"
|
||||
|
||||
const struct log2f_data __log2f_data = {
|
||||
.tab = {
|
||||
{ 0x1.661ec79f8f3bep+0, -0x1.efec65b963019p-2 },
|
||||
{ 0x1.571ed4aaf883dp+0, -0x1.b0b6832d4fca4p-2 },
|
||||
{ 0x1.49539f0f010bp+0, -0x1.7418b0a1fb77bp-2 },
|
||||
{ 0x1.3c995b0b80385p+0, -0x1.39de91a6dcf7bp-2 },
|
||||
{ 0x1.30d190c8864a5p+0, -0x1.01d9bf3f2b631p-2 },
|
||||
{ 0x1.25e227b0b8eap+0, -0x1.97c1d1b3b7afp-3 },
|
||||
{ 0x1.1bb4a4a1a343fp+0, -0x1.2f9e393af3c9fp-3 },
|
||||
{ 0x1.12358f08ae5bap+0, -0x1.960cbbf788d5cp-4 },
|
||||
{ 0x1.0953f419900a7p+0, -0x1.a6f9db6475fcep-5 },
|
||||
{ 0x1p+0, 0x0p+0 },
|
||||
{ 0x1.e608cfd9a47acp-1, 0x1.338ca9f24f53dp-4 },
|
||||
{ 0x1.ca4b31f026aap-1, 0x1.476a9543891bap-3 },
|
||||
{ 0x1.b2036576afce6p-1, 0x1.e840b4ac4e4d2p-3 },
|
||||
{ 0x1.9c2d163a1aa2dp-1, 0x1.40645f0c6651cp-2 },
|
||||
{ 0x1.886e6037841edp-1, 0x1.88e9c2c1b9ff8p-2 },
|
||||
{ 0x1.767dcf5534862p-1, 0x1.ce0a44eb17bccp-2 },
|
||||
},
|
||||
.poly = {
|
||||
-0x1.712b6f70a7e4dp-2, 0x1.ecabf496832ep-2, -0x1.715479ffae3dep-1,
|
||||
0x1.715475f35c8b8p0,
|
||||
}
|
||||
};
|
||||
@@ -18,6 +18,7 @@
|
||||
|
||||
#include <math.h>
|
||||
#include <stdint.h>
|
||||
#include <shlib-compat.h>
|
||||
#include "math_config.h"
|
||||
|
||||
/*
|
||||
@@ -35,7 +36,7 @@ Relative error: 1.957 * 2^-26 (before rounding.)
|
||||
#define OFF 0x3f330000
|
||||
|
||||
float
|
||||
__ieee754_logf (float x)
|
||||
__logf (float x)
|
||||
{
|
||||
/* double_t for better performance on targets with FLT_EVAL_METHOD==2. */
|
||||
double_t z, r, r2, y, y0, invc, logc;
|
||||
@@ -84,4 +85,8 @@ __ieee754_logf (float x)
|
||||
y = y * r2 + (y0 + r);
|
||||
return (float) y;
|
||||
}
|
||||
strong_alias (__ieee754_logf, __logf_finite)
|
||||
#ifndef __logf
|
||||
strong_alias (__logf, __ieee754_logf)
|
||||
strong_alias (__logf, __logf_finite)
|
||||
versioned_symbol (libm, __logf, logf, GLIBC_2_27);
|
||||
#endif
|
||||
|
||||
+192
-197
@@ -1,7 +1,5 @@
|
||||
/* e_powf.c -- float version of e_pow.c.
|
||||
* Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
|
||||
*/
|
||||
/* Copyright (C) 2017 Free Software Foundation, Inc.
|
||||
/* Single-precision pow function.
|
||||
Copyright (C) 2017 Free Software Foundation, Inc.
|
||||
This file is part of the GNU C Library.
|
||||
|
||||
The GNU C Library is free software; you can redistribute it and/or
|
||||
@@ -18,210 +16,207 @@
|
||||
License along with the GNU C Library; if not, see
|
||||
<http://www.gnu.org/licenses/>. */
|
||||
|
||||
/*
|
||||
* ====================================================
|
||||
* 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 <math.h>
|
||||
#include <math_private.h>
|
||||
#include <stdint.h>
|
||||
#include <shlib-compat.h>
|
||||
#include "math_config.h"
|
||||
|
||||
static const float huge = 1.0e+30, tiny = 1.0e-30;
|
||||
/*
|
||||
POWF_LOG2_POLY_ORDER = 5
|
||||
EXP2F_TABLE_BITS = 5
|
||||
|
||||
static const float
|
||||
bp[] = {1.0, 1.5,},
|
||||
zero = 0.0,
|
||||
one = 1.0,
|
||||
two = 2.0,
|
||||
two24 = 16777216.0, /* 0x4b800000 */
|
||||
/* poly coefs for (3/2)*(log(x)-2s-2/3*s**3 */
|
||||
L1 = 6.0000002384e-01, /* 0x3f19999a */
|
||||
L2 = 4.2857143283e-01, /* 0x3edb6db7 */
|
||||
L3 = 3.3333334327e-01, /* 0x3eaaaaab */
|
||||
L4 = 2.7272811532e-01, /* 0x3e8ba305 */
|
||||
L5 = 2.3066075146e-01, /* 0x3e6c3255 */
|
||||
L6 = 2.0697501302e-01, /* 0x3e53f142 */
|
||||
P1 = 1.6666667163e-01, /* 0x3e2aaaab */
|
||||
P2 = -2.7777778450e-03, /* 0xbb360b61 */
|
||||
P3 = 6.6137559770e-05, /* 0x388ab355 */
|
||||
P4 = -1.6533901999e-06, /* 0xb5ddea0e */
|
||||
P5 = 4.1381369442e-08, /* 0x3331bb4c */
|
||||
ovt = 4.2995665694e-08; /* -(128-log2(ovfl+.5ulp)) */
|
||||
ULP error: 0.82 (~ 0.5 + relerr*2^24)
|
||||
relerr: 1.27 * 2^-26 (Relative error ~= 128*Ln2*relerr_log2 + relerr_exp2)
|
||||
relerr_log2: 1.83 * 2^-33 (Relative error of logx.)
|
||||
relerr_exp2: 1.69 * 2^-34 (Relative error of exp2(ylogx).)
|
||||
*/
|
||||
|
||||
static const double
|
||||
dp[] = { 0.0, 0x1.2b803473f7ad1p-1, }, /* log2(1.5) */
|
||||
lg2 = M_LN2,
|
||||
cp = 2.0/3.0/M_LN2,
|
||||
invln2 = 1.0/M_LN2;
|
||||
#define N (1 << POWF_LOG2_TABLE_BITS)
|
||||
#define T __powf_log2_data.tab
|
||||
#define A __powf_log2_data.poly
|
||||
#define OFF 0x3f330000
|
||||
|
||||
/* Subnormal input is normalized so ix has negative biased exponent.
|
||||
Output is multiplied by N (POWF_SCALE) if TOINT_INTRINICS is set. */
|
||||
static inline double_t
|
||||
log2_inline (uint32_t ix)
|
||||
{
|
||||
/* double_t for better performance on targets with FLT_EVAL_METHOD==2. */
|
||||
double_t z, r, r2, r4, p, q, y, y0, invc, logc;
|
||||
uint32_t iz, top, tmp;
|
||||
int k, i;
|
||||
|
||||
/* x = 2^k z; where z is in range [OFF,2*OFF] and exact.
|
||||
The range is split into N subintervals.
|
||||
The ith subinterval contains z and c is near its center. */
|
||||
tmp = ix - OFF;
|
||||
i = (tmp >> (23 - POWF_LOG2_TABLE_BITS)) % N;
|
||||
top = tmp & 0xff800000;
|
||||
iz = ix - top;
|
||||
k = (int32_t) top >> (23 - POWF_SCALE_BITS); /* arithmetic shift */
|
||||
invc = T[i].invc;
|
||||
logc = T[i].logc;
|
||||
z = (double_t) asfloat (iz);
|
||||
|
||||
/* log2(x) = log1p(z/c-1)/ln2 + log2(c) + k */
|
||||
r = z * invc - 1;
|
||||
y0 = logc + (double_t) k;
|
||||
|
||||
/* Pipelined polynomial evaluation to approximate log1p(r)/ln2. */
|
||||
r2 = r * r;
|
||||
y = A[0] * r + A[1];
|
||||
p = A[2] * r + A[3];
|
||||
r4 = r2 * r2;
|
||||
q = A[4] * r + y0;
|
||||
q = p * r2 + q;
|
||||
y = y * r4 + q;
|
||||
return y;
|
||||
}
|
||||
|
||||
#undef N
|
||||
#undef T
|
||||
#define N (1 << EXP2F_TABLE_BITS)
|
||||
#define T __exp2f_data.tab
|
||||
#define SIGN_BIAS (1 << (EXP2F_TABLE_BITS + 11))
|
||||
|
||||
/* The output of log2 and thus the input of exp2 is either scaled by N
|
||||
(in case of fast toint intrinsics) or not. The unscaled xd must be
|
||||
in [-1021,1023], sign_bias sets the sign of the result. */
|
||||
static inline double_t
|
||||
exp2_inline (double_t xd, unsigned long sign_bias)
|
||||
{
|
||||
uint64_t ki, ski, t;
|
||||
/* double_t for better performance on targets with FLT_EVAL_METHOD==2. */
|
||||
double_t kd, z, r, r2, y, s;
|
||||
|
||||
#if TOINT_INTRINSICS
|
||||
# define C __exp2f_data.poly_scaled
|
||||
/* N*x = k + r with r in [-1/2, 1/2] */
|
||||
kd = roundtoint (xd); /* k */
|
||||
ki = converttoint (xd);
|
||||
#else
|
||||
# define C __exp2f_data.poly
|
||||
# define SHIFT __exp2f_data.shift_scaled
|
||||
/* x = k/N + r with r in [-1/(2N), 1/(2N)] */
|
||||
kd = (double) (xd + SHIFT); /* Rounding to double precision is required. */
|
||||
ki = asuint64 (kd);
|
||||
kd -= SHIFT; /* k/N */
|
||||
#endif
|
||||
r = xd - kd;
|
||||
|
||||
/* exp2(x) = 2^(k/N) * 2^r ~= s * (C0*r^3 + C1*r^2 + C2*r + 1) */
|
||||
t = T[ki % N];
|
||||
ski = ki + sign_bias;
|
||||
t += ski << (52 - EXP2F_TABLE_BITS);
|
||||
s = asdouble (t);
|
||||
z = C[0] * r + C[1];
|
||||
r2 = r * r;
|
||||
y = C[2] * r + 1;
|
||||
y = z * r2 + y;
|
||||
y = y * s;
|
||||
return y;
|
||||
}
|
||||
|
||||
/* Returns 0 if not int, 1 if odd int, 2 if even int. */
|
||||
static inline int
|
||||
checkint (uint32_t iy)
|
||||
{
|
||||
int e = iy >> 23 & 0xff;
|
||||
if (e < 0x7f)
|
||||
return 0;
|
||||
if (e > 0x7f + 23)
|
||||
return 2;
|
||||
if (iy & ((1 << (0x7f + 23 - e)) - 1))
|
||||
return 0;
|
||||
if (iy & (1 << (0x7f + 23 - e)))
|
||||
return 1;
|
||||
return 2;
|
||||
}
|
||||
|
||||
static inline int
|
||||
zeroinfnan (uint32_t ix)
|
||||
{
|
||||
return 2 * ix - 1 >= 2u * 0x7f800000 - 1;
|
||||
}
|
||||
|
||||
float
|
||||
__ieee754_powf(float x, float y)
|
||||
__powf (float x, float y)
|
||||
{
|
||||
float z, ax, s;
|
||||
double d1, d2;
|
||||
int32_t i,j,k,yisint,n;
|
||||
int32_t hx,hy,ix,iy;
|
||||
unsigned long sign_bias = 0;
|
||||
uint32_t ix, iy;
|
||||
|
||||
GET_FLOAT_WORD(hy,y);
|
||||
iy = hy&0x7fffffff;
|
||||
|
||||
/* y==zero: x**0 = 1 */
|
||||
if(iy==0 && !issignaling (x)) return one;
|
||||
|
||||
/* x==+-1 */
|
||||
if(x == 1.0 && !issignaling (y)) return one;
|
||||
if(x == -1.0 && isinf(y)) return one;
|
||||
|
||||
GET_FLOAT_WORD(hx,x);
|
||||
ix = hx&0x7fffffff;
|
||||
|
||||
/* +-NaN return x+y */
|
||||
if(__builtin_expect(ix > 0x7f800000 ||
|
||||
iy > 0x7f800000, 0))
|
||||
return x+y;
|
||||
|
||||
/* special value of y */
|
||||
if (__builtin_expect(iy==0x7f800000, 0)) { /* y is +-inf */
|
||||
if (ix==0x3f800000)
|
||||
return y - y; /* inf**+-1 is NaN */
|
||||
else if (ix > 0x3f800000)/* (|x|>1)**+-inf = inf,0 */
|
||||
return (hy>=0)? y: zero;
|
||||
else /* (|x|<1)**-,+inf = inf,0 */
|
||||
return (hy<0)?-y: zero;
|
||||
ix = asuint (x);
|
||||
iy = asuint (y);
|
||||
if (__glibc_unlikely (ix - 0x00800000 >= 0x7f800000 - 0x00800000
|
||||
|| zeroinfnan (iy)))
|
||||
{
|
||||
/* Either (x < 0x1p-126 or inf or nan) or (y is 0 or inf or nan). */
|
||||
if (__glibc_unlikely (zeroinfnan (iy)))
|
||||
{
|
||||
if (2 * iy == 0)
|
||||
return issignalingf_inline (x) ? x + y : 1.0f;
|
||||
if (ix == 0x3f800000)
|
||||
return issignalingf_inline (y) ? x + y : 1.0f;
|
||||
if (2 * ix > 2u * 0x7f800000 || 2 * iy > 2u * 0x7f800000)
|
||||
return x + y;
|
||||
if (2 * ix == 2 * 0x3f800000)
|
||||
return 1.0f;
|
||||
if ((2 * ix < 2 * 0x3f800000) == !(iy & 0x80000000))
|
||||
return 0.0f; /* |x|<1 && y==inf or |x|>1 && y==-inf. */
|
||||
return y * y;
|
||||
}
|
||||
if(iy==0x3f800000) { /* y is +-1 */
|
||||
if(hy<0) return one/x; else return x;
|
||||
}
|
||||
if(hy==0x40000000) return x*x; /* y is 2 */
|
||||
if(hy==0x3f000000) { /* y is 0.5 */
|
||||
if(__builtin_expect(hx>=0, 1)) /* x >= +0 */
|
||||
return __ieee754_sqrtf(x);
|
||||
}
|
||||
|
||||
/* determine if y is an odd int when x < 0
|
||||
* yisint = 0 ... y is not an integer
|
||||
* yisint = 1 ... y is an odd int
|
||||
* yisint = 2 ... y is an even int
|
||||
*/
|
||||
yisint = 0;
|
||||
if(hx<0) {
|
||||
if(iy>=0x4b800000) yisint = 2; /* even integer y */
|
||||
else if(iy>=0x3f800000) {
|
||||
k = (iy>>23)-0x7f; /* exponent */
|
||||
j = iy>>(23-k);
|
||||
if((j<<(23-k))==iy) yisint = 2-(j&1);
|
||||
if (__glibc_unlikely (zeroinfnan (ix)))
|
||||
{
|
||||
float_t x2 = x * x;
|
||||
if (ix & 0x80000000 && checkint (iy) == 1)
|
||||
{
|
||||
x2 = -x2;
|
||||
sign_bias = 1;
|
||||
}
|
||||
#if WANT_ERRNO
|
||||
if (2 * ix == 0 && iy & 0x80000000)
|
||||
return __math_divzerof (sign_bias);
|
||||
#endif
|
||||
return iy & 0x80000000 ? 1 / x2 : x2;
|
||||
}
|
||||
|
||||
ax = fabsf(x);
|
||||
/* special value of x */
|
||||
if(__builtin_expect(ix==0x7f800000||ix==0||ix==0x3f800000, 0)){
|
||||
z = ax; /*x is +-0,+-inf,+-1*/
|
||||
if(hy<0) z = one/z; /* z = (1/|x|) */
|
||||
if(hx<0) {
|
||||
if(((ix-0x3f800000)|yisint)==0) {
|
||||
z = (z-z)/(z-z); /* (-1)**non-int is NaN */
|
||||
} else if(yisint==1)
|
||||
z = -z; /* (x<0)**odd = -(|x|**odd) */
|
||||
}
|
||||
return z;
|
||||
/* x and y are non-zero finite. */
|
||||
if (ix & 0x80000000)
|
||||
{
|
||||
/* Finite x < 0. */
|
||||
int yint = checkint (iy);
|
||||
if (yint == 0)
|
||||
return __math_invalidf (x);
|
||||
if (yint == 1)
|
||||
sign_bias = SIGN_BIAS;
|
||||
ix &= 0x7fffffff;
|
||||
}
|
||||
|
||||
/* (x<0)**(non-int) is NaN */
|
||||
if(__builtin_expect(((((uint32_t)hx>>31)-1)|yisint)==0, 0))
|
||||
return (x-x)/(x-x);
|
||||
|
||||
/* |y| is huge */
|
||||
if(__builtin_expect(iy>0x4d000000, 0)) { /* if |y| > 2**27 */
|
||||
/* over/underflow if x is not close to one */
|
||||
if(ix<0x3f7ffff8) return (hy<0)? huge*huge:tiny*tiny;
|
||||
if(ix>0x3f800007) return (hy>0)? huge*huge:tiny*tiny;
|
||||
/* now |1-x| is tiny <= 2**-20, suffice to compute
|
||||
log(x) by x-x^2/2+x^3/3-x^4/4 */
|
||||
d2 = ax-1; /* d2 has 20 trailing zeros. */
|
||||
d2 = d2 * invln2 -
|
||||
(d2 * d2) * (0.5 - d2 * (0.333333333333 - d2 * 0.25)) * invln2;
|
||||
} else {
|
||||
/* Avoid internal underflow for tiny y. The exact value
|
||||
of y does not matter if |y| <= 2**-32. */
|
||||
if (iy < 0x2f800000)
|
||||
SET_FLOAT_WORD (y, (hy & 0x80000000) | 0x2f800000);
|
||||
n = 0;
|
||||
/* take care subnormal number */
|
||||
if(ix<0x00800000)
|
||||
{ax *= two24; n -= 24; GET_FLOAT_WORD(ix,ax); }
|
||||
n += ((ix)>>23)-0x7f;
|
||||
j = ix&0x007fffff;
|
||||
/* determine interval */
|
||||
ix = j|0x3f800000; /* normalize ix */
|
||||
if(j<=0x1cc471) k=0; /* |x|<sqrt(3/2) */
|
||||
else if(j<0x5db3d7) k=1; /* |x|<sqrt(3) */
|
||||
else {k=0;n+=1;ix -= 0x00800000;}
|
||||
SET_FLOAT_WORD(ax,ix);
|
||||
|
||||
/* compute d1 = (x-1)/(x+1) or (x-1.5)/(x+1.5) */
|
||||
d1 = (ax-(double)bp[k])/(ax+(double)bp[k]);
|
||||
/* compute d2 = log(ax) */
|
||||
d2 = d1 * d1;
|
||||
d2 = 3.0 + d2 + d2*d2*(L1+d2*(L2+d2*(L3+d2*(L4+d2*(L5+d2*L6)))));
|
||||
/* 2/(3log2)*(d2+...) */
|
||||
d2 = d1*d2*cp;
|
||||
/* log2(ax) = (d2+..)*2/(3*log2) */
|
||||
d2 = d2+dp[k]+(double)n;
|
||||
if (ix < 0x00800000)
|
||||
{
|
||||
/* Normalize subnormal x so exponent becomes negative. */
|
||||
ix = asuint (x * 0x1p23f);
|
||||
ix &= 0x7fffffff;
|
||||
ix -= 23 << 23;
|
||||
}
|
||||
|
||||
s = one; /* s (sign of result -ve**odd) = -1 else = 1 */
|
||||
if(((((uint32_t)hx>>31)-1)|(yisint-1))==0)
|
||||
s = -one; /* (-ve)**(odd int) */
|
||||
|
||||
/* compute y * d2 */
|
||||
d1 = y * d2;
|
||||
z = d1;
|
||||
GET_FLOAT_WORD(j,z);
|
||||
if (__builtin_expect(j>0x43000000, 0)) /* if z > 128 */
|
||||
return s*huge*huge; /* overflow */
|
||||
else if (__builtin_expect(j==0x43000000, 0)) { /* if z == 128 */
|
||||
if(ovt>(z-d1)) return s*huge*huge; /* overflow */
|
||||
}
|
||||
else if (__builtin_expect((j&0x7fffffff)>0x43160000, 0))/* z <= -150 */
|
||||
return s*tiny*tiny; /* underflow */
|
||||
else if (__builtin_expect((uint32_t) j==0xc3160000, 0)){/* z == -150*/
|
||||
if(0.0<=(z-d1)) return s*tiny*tiny; /* underflow */
|
||||
}
|
||||
/*
|
||||
* compute 2**d1
|
||||
*/
|
||||
i = j&0x7fffffff;
|
||||
k = (i>>23)-0x7f;
|
||||
n = 0;
|
||||
if(i>0x3f000000) { /* if |z| > 0.5, set n = [z+0.5] */
|
||||
n = j+(0x00800000>>(k+1));
|
||||
k = ((n&0x7fffffff)>>23)-0x7f; /* new k for n */
|
||||
SET_FLOAT_WORD(z,n&~(0x007fffff>>k));
|
||||
n = ((n&0x007fffff)|0x00800000)>>(23-k);
|
||||
if(j<0) n = -n;
|
||||
d1 -= z;
|
||||
}
|
||||
d1 = d1 * lg2;
|
||||
d2 = d1*d1;
|
||||
d2 = d1 - d2*(P1+d2*(P2+d2*(P3+d2*(P4+d2*P5))));
|
||||
d2 = (d1*d2)/(d2-two);
|
||||
z = one - (d2-d1);
|
||||
GET_FLOAT_WORD(j,z);
|
||||
j += (n<<23);
|
||||
if((j>>23)<=0) /* subnormal output */
|
||||
{
|
||||
z = __scalbnf (z, n);
|
||||
float force_underflow = z * z;
|
||||
math_force_eval (force_underflow);
|
||||
}
|
||||
else SET_FLOAT_WORD(z,j);
|
||||
return s*z;
|
||||
}
|
||||
double_t logx = log2_inline (ix);
|
||||
double_t ylogx = y * logx; /* Note: cannot overflow, y is single prec. */
|
||||
if (__glibc_unlikely ((asuint64 (ylogx) >> 47 & 0xffff)
|
||||
>= asuint64 (126.0 * POWF_SCALE) >> 47))
|
||||
{
|
||||
/* |y*log(x)| >= 126. */
|
||||
if (ylogx > 0x1.fffffffd1d571p+6 * POWF_SCALE)
|
||||
return __math_oflowf (sign_bias);
|
||||
if (ylogx <= -150.0 * POWF_SCALE)
|
||||
return __math_uflowf (sign_bias);
|
||||
#if WANT_ERRNO_UFLOW
|
||||
if (ylogx < -149.0 * POWF_SCALE)
|
||||
return __math_may_uflowf (sign_bias);
|
||||
#endif
|
||||
}
|
||||
return (float) exp2_inline (ylogx, sign_bias);
|
||||
}
|
||||
strong_alias (__ieee754_powf, __powf_finite)
|
||||
#ifndef __powf
|
||||
strong_alias (__powf, __ieee754_powf)
|
||||
strong_alias (__powf, __powf_finite)
|
||||
versioned_symbol (libm, __powf, powf, GLIBC_2_27);
|
||||
#endif
|
||||
|
||||
@@ -0,0 +1,45 @@
|
||||
/* Data definition for powf.
|
||||
Copyright (C) 2017 Free Software Foundation, Inc.
|
||||
This file is part of the GNU C Library.
|
||||
|
||||
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, see
|
||||
<http://www.gnu.org/licenses/>. */
|
||||
|
||||
#include "math_config.h"
|
||||
|
||||
const struct powf_log2_data __powf_log2_data = {
|
||||
.tab = {
|
||||
{ 0x1.661ec79f8f3bep+0, -0x1.efec65b963019p-2 * POWF_SCALE },
|
||||
{ 0x1.571ed4aaf883dp+0, -0x1.b0b6832d4fca4p-2 * POWF_SCALE },
|
||||
{ 0x1.49539f0f010bp+0, -0x1.7418b0a1fb77bp-2 * POWF_SCALE },
|
||||
{ 0x1.3c995b0b80385p+0, -0x1.39de91a6dcf7bp-2 * POWF_SCALE },
|
||||
{ 0x1.30d190c8864a5p+0, -0x1.01d9bf3f2b631p-2 * POWF_SCALE },
|
||||
{ 0x1.25e227b0b8eap+0, -0x1.97c1d1b3b7afp-3 * POWF_SCALE },
|
||||
{ 0x1.1bb4a4a1a343fp+0, -0x1.2f9e393af3c9fp-3 * POWF_SCALE },
|
||||
{ 0x1.12358f08ae5bap+0, -0x1.960cbbf788d5cp-4 * POWF_SCALE },
|
||||
{ 0x1.0953f419900a7p+0, -0x1.a6f9db6475fcep-5 * POWF_SCALE },
|
||||
{ 0x1p+0, 0x0p+0 * POWF_SCALE },
|
||||
{ 0x1.e608cfd9a47acp-1, 0x1.338ca9f24f53dp-4 * POWF_SCALE },
|
||||
{ 0x1.ca4b31f026aap-1, 0x1.476a9543891bap-3 * POWF_SCALE },
|
||||
{ 0x1.b2036576afce6p-1, 0x1.e840b4ac4e4d2p-3 * POWF_SCALE },
|
||||
{ 0x1.9c2d163a1aa2dp-1, 0x1.40645f0c6651cp-2 * POWF_SCALE },
|
||||
{ 0x1.886e6037841edp-1, 0x1.88e9c2c1b9ff8p-2 * POWF_SCALE },
|
||||
{ 0x1.767dcf5534862p-1, 0x1.ce0a44eb17bccp-2 * POWF_SCALE },
|
||||
},
|
||||
.poly = {
|
||||
0x1.27616c9496e0bp-2 * POWF_SCALE, -0x1.71969a075c67ap-2 * POWF_SCALE,
|
||||
0x1.ec70a6ca7baddp-2 * POWF_SCALE, -0x1.7154748bef6c8p-1 * POWF_SCALE,
|
||||
0x1.71547652ab82bp0 * POWF_SCALE,
|
||||
}
|
||||
};
|
||||
@@ -21,6 +21,7 @@
|
||||
|
||||
#include <math.h>
|
||||
#include <math_private.h>
|
||||
#include <nan-high-order-bit.h>
|
||||
#include <stdint.h>
|
||||
|
||||
#ifndef WANT_ROUNDING
|
||||
@@ -90,6 +91,15 @@ asdouble (uint64_t i)
|
||||
return u.f;
|
||||
}
|
||||
|
||||
static inline int
|
||||
issignalingf_inline (float x)
|
||||
{
|
||||
uint32_t ix = asuint (x);
|
||||
if (HIGH_ORDER_BIT_IS_SET_FOR_SNAN)
|
||||
return (ix & 0x7fc00000) == 0x7fc00000;
|
||||
return 2 * (ix ^ 0x00400000) > 2u * 0x7fc00000;
|
||||
}
|
||||
|
||||
#define NOINLINE __attribute__ ((noinline))
|
||||
|
||||
attribute_hidden float __math_oflowf (unsigned long);
|
||||
@@ -123,4 +133,32 @@ extern const struct logf_data
|
||||
double poly[LOGF_POLY_ORDER - 1]; /* First order coefficient is 1. */
|
||||
} __logf_data attribute_hidden;
|
||||
|
||||
#define LOG2F_TABLE_BITS 4
|
||||
#define LOG2F_POLY_ORDER 4
|
||||
extern const struct log2f_data
|
||||
{
|
||||
struct
|
||||
{
|
||||
double invc, logc;
|
||||
} tab[1 << LOG2F_TABLE_BITS];
|
||||
double poly[LOG2F_POLY_ORDER];
|
||||
} __log2f_data attribute_hidden;
|
||||
|
||||
#define POWF_LOG2_TABLE_BITS 4
|
||||
#define POWF_LOG2_POLY_ORDER 5
|
||||
#if TOINT_INTRINSICS
|
||||
#define POWF_SCALE_BITS EXP2F_TABLE_BITS
|
||||
#else
|
||||
#define POWF_SCALE_BITS 0
|
||||
#endif
|
||||
#define POWF_SCALE ((double) (1 << POWF_SCALE_BITS))
|
||||
extern const struct powf_log2_data
|
||||
{
|
||||
struct
|
||||
{
|
||||
double invc, logc;
|
||||
} tab[1 << POWF_LOG2_TABLE_BITS];
|
||||
double poly[POWF_LOG2_POLY_ORDER];
|
||||
} __powf_log2_data attribute_hidden;
|
||||
|
||||
#endif
|
||||
|
||||
@@ -0,0 +1 @@
|
||||
/* Not needed. */
|
||||
@@ -0,0 +1 @@
|
||||
/* Not needed. */
|
||||
@@ -0,0 +1 @@
|
||||
/* Not needed. */
|
||||
@@ -0,0 +1 @@
|
||||
/* Not needed. */
|
||||
@@ -0,0 +1 @@
|
||||
/* Not needed. */
|
||||
@@ -0,0 +1 @@
|
||||
/* Not needed. */
|
||||
@@ -0,0 +1 @@
|
||||
/* Not needed. */
|
||||
@@ -0,0 +1 @@
|
||||
#include <sysdeps/../math/w_exp2f.c>
|
||||
@@ -0,0 +1 @@
|
||||
#include <sysdeps/../math/w_expf.c>
|
||||
@@ -0,0 +1 @@
|
||||
#include <sysdeps/../math/w_log2f.c>
|
||||
@@ -0,0 +1 @@
|
||||
#include <sysdeps/../math/w_logf.c>
|
||||
@@ -0,0 +1 @@
|
||||
#include <sysdeps/../math/w_powf.c>
|
||||
@@ -16,9 +16,6 @@
|
||||
License along with the GNU C Library; if not, see
|
||||
<http://www.gnu.org/licenses/>. */
|
||||
|
||||
#undef strong_alias
|
||||
#define strong_alias(a, b)
|
||||
|
||||
#define __ieee754_expf __ieee754_expf_ppc64
|
||||
#define __expf __ieee754_expf_ppc64
|
||||
|
||||
#include <sysdeps/ieee754/flt-32/e_expf.c>
|
||||
|
||||
@@ -0,0 +1 @@
|
||||
#include <sysdeps/../math/w_expf.c>
|
||||
@@ -0,0 +1 @@
|
||||
#include <sysdeps/../math/w_expf.c>
|
||||
@@ -463,3 +463,6 @@ GLIBC_2.25 ufromfpxl F
|
||||
GLIBC_2.27 GLIBC_2.27 A
|
||||
GLIBC_2.27 exp2f F
|
||||
GLIBC_2.27 expf F
|
||||
GLIBC_2.27 log2f F
|
||||
GLIBC_2.27 logf F
|
||||
GLIBC_2.27 powf F
|
||||
|
||||
@@ -473,6 +473,9 @@ GLIBC_2.25 ufromfpxl F
|
||||
GLIBC_2.27 GLIBC_2.27 A
|
||||
GLIBC_2.27 exp2f F
|
||||
GLIBC_2.27 expf F
|
||||
GLIBC_2.27 log2f F
|
||||
GLIBC_2.27 logf F
|
||||
GLIBC_2.27 powf F
|
||||
GLIBC_2.3.4 GLIBC_2.3.4 A
|
||||
GLIBC_2.3.4 __c1_cabsf F
|
||||
GLIBC_2.3.4 __c1_cacosf F
|
||||
|
||||
@@ -120,6 +120,9 @@ GLIBC_2.25 ufromfpxl F
|
||||
GLIBC_2.27 GLIBC_2.27 A
|
||||
GLIBC_2.27 exp2f F
|
||||
GLIBC_2.27 expf F
|
||||
GLIBC_2.27 log2f F
|
||||
GLIBC_2.27 logf F
|
||||
GLIBC_2.27 powf F
|
||||
GLIBC_2.4 GLIBC_2.4 A
|
||||
GLIBC_2.4 _LIB_VERSION D 0x4
|
||||
GLIBC_2.4 __clog10 F
|
||||
|
||||
@@ -432,5 +432,8 @@ GLIBC_2.25 ufromfpxl F
|
||||
GLIBC_2.27 GLIBC_2.27 A
|
||||
GLIBC_2.27 exp2f F
|
||||
GLIBC_2.27 expf F
|
||||
GLIBC_2.27 log2f F
|
||||
GLIBC_2.27 logf F
|
||||
GLIBC_2.27 powf F
|
||||
GLIBC_2.4 GLIBC_2.4 A
|
||||
GLIBC_2.4 exp2l F
|
||||
|
||||
@@ -614,4 +614,7 @@ GLIBC_2.26 ynf128 F
|
||||
GLIBC_2.27 GLIBC_2.27 A
|
||||
GLIBC_2.27 exp2f F
|
||||
GLIBC_2.27 expf F
|
||||
GLIBC_2.27 log2f F
|
||||
GLIBC_2.27 logf F
|
||||
GLIBC_2.27 powf F
|
||||
GLIBC_2.4 GLIBC_2.4 A
|
||||
|
||||
@@ -543,4 +543,7 @@ GLIBC_2.26 ynf128 F
|
||||
GLIBC_2.27 GLIBC_2.27 A
|
||||
GLIBC_2.27 exp2f F
|
||||
GLIBC_2.27 expf F
|
||||
GLIBC_2.27 log2f F
|
||||
GLIBC_2.27 logf F
|
||||
GLIBC_2.27 powf F
|
||||
GLIBC_2.4 GLIBC_2.4 A
|
||||
|
||||
@@ -120,6 +120,9 @@ GLIBC_2.25 ufromfpxl F
|
||||
GLIBC_2.27 GLIBC_2.27 A
|
||||
GLIBC_2.27 exp2f F
|
||||
GLIBC_2.27 expf F
|
||||
GLIBC_2.27 log2f F
|
||||
GLIBC_2.27 logf F
|
||||
GLIBC_2.27 powf F
|
||||
GLIBC_2.4 GLIBC_2.4 A
|
||||
GLIBC_2.4 _LIB_VERSION D 0x4
|
||||
GLIBC_2.4 __clog10 F
|
||||
|
||||
@@ -474,4 +474,7 @@ GLIBC_2.25 ufromfpxl F
|
||||
GLIBC_2.27 GLIBC_2.27 A
|
||||
GLIBC_2.27 exp2f F
|
||||
GLIBC_2.27 expf F
|
||||
GLIBC_2.27 log2f F
|
||||
GLIBC_2.27 logf F
|
||||
GLIBC_2.27 powf F
|
||||
GLIBC_2.4 GLIBC_2.4 A
|
||||
|
||||
@@ -431,3 +431,6 @@ GLIBC_2.25 ufromfpxl F
|
||||
GLIBC_2.27 GLIBC_2.27 A
|
||||
GLIBC_2.27 exp2f F
|
||||
GLIBC_2.27 expf F
|
||||
GLIBC_2.27 log2f F
|
||||
GLIBC_2.27 logf F
|
||||
GLIBC_2.27 powf F
|
||||
|
||||
@@ -433,6 +433,9 @@ GLIBC_2.25 ufromfpxl F
|
||||
GLIBC_2.27 GLIBC_2.27 A
|
||||
GLIBC_2.27 exp2f F
|
||||
GLIBC_2.27 expf F
|
||||
GLIBC_2.27 log2f F
|
||||
GLIBC_2.27 logf F
|
||||
GLIBC_2.27 powf F
|
||||
GLIBC_2.4 GLIBC_2.4 A
|
||||
GLIBC_2.4 exp2l F
|
||||
_gp_disp _gp_disp A
|
||||
|
||||
@@ -465,4 +465,7 @@ GLIBC_2.25 ufromfpxl F
|
||||
GLIBC_2.27 GLIBC_2.27 A
|
||||
GLIBC_2.27 exp2f F
|
||||
GLIBC_2.27 expf F
|
||||
GLIBC_2.27 log2f F
|
||||
GLIBC_2.27 logf F
|
||||
GLIBC_2.27 powf F
|
||||
GLIBC_2.4 GLIBC_2.4 A
|
||||
|
||||
@@ -431,3 +431,6 @@ GLIBC_2.25 ufromfpxl F
|
||||
GLIBC_2.27 GLIBC_2.27 A
|
||||
GLIBC_2.27 exp2f F
|
||||
GLIBC_2.27 expf F
|
||||
GLIBC_2.27 log2f F
|
||||
GLIBC_2.27 logf F
|
||||
GLIBC_2.27 powf F
|
||||
|
||||
@@ -476,6 +476,9 @@ GLIBC_2.25 ufromfpxl F
|
||||
GLIBC_2.27 GLIBC_2.27 A
|
||||
GLIBC_2.27 exp2f F
|
||||
GLIBC_2.27 expf F
|
||||
GLIBC_2.27 log2f F
|
||||
GLIBC_2.27 logf F
|
||||
GLIBC_2.27 powf F
|
||||
GLIBC_2.4 GLIBC_2.4 A
|
||||
GLIBC_2.4 __clog10l F
|
||||
GLIBC_2.4 __finitel F
|
||||
|
||||
@@ -475,6 +475,9 @@ GLIBC_2.25 ufromfpxl F
|
||||
GLIBC_2.27 GLIBC_2.27 A
|
||||
GLIBC_2.27 exp2f F
|
||||
GLIBC_2.27 expf F
|
||||
GLIBC_2.27 log2f F
|
||||
GLIBC_2.27 logf F
|
||||
GLIBC_2.27 powf F
|
||||
GLIBC_2.4 GLIBC_2.4 A
|
||||
GLIBC_2.4 __clog10l F
|
||||
GLIBC_2.4 __finitel F
|
||||
|
||||
@@ -608,3 +608,6 @@ GLIBC_2.26 ynf128 F
|
||||
GLIBC_2.27 GLIBC_2.27 A
|
||||
GLIBC_2.27 exp2f F
|
||||
GLIBC_2.27 expf F
|
||||
GLIBC_2.27 log2f F
|
||||
GLIBC_2.27 logf F
|
||||
GLIBC_2.27 powf F
|
||||
|
||||
@@ -151,6 +151,9 @@ GLIBC_2.25 ufromfpxl F
|
||||
GLIBC_2.27 GLIBC_2.27 A
|
||||
GLIBC_2.27 exp2f F
|
||||
GLIBC_2.27 expf F
|
||||
GLIBC_2.27 log2f F
|
||||
GLIBC_2.27 logf F
|
||||
GLIBC_2.27 powf F
|
||||
GLIBC_2.3 GLIBC_2.3 A
|
||||
GLIBC_2.3 _LIB_VERSION D 0x4
|
||||
GLIBC_2.3 __clog10 F
|
||||
|
||||
@@ -463,6 +463,9 @@ GLIBC_2.25 ufromfpxl F
|
||||
GLIBC_2.27 GLIBC_2.27 A
|
||||
GLIBC_2.27 exp2f F
|
||||
GLIBC_2.27 expf F
|
||||
GLIBC_2.27 log2f F
|
||||
GLIBC_2.27 logf F
|
||||
GLIBC_2.27 powf F
|
||||
GLIBC_2.4 GLIBC_2.4 A
|
||||
GLIBC_2.4 __clog10l F
|
||||
GLIBC_2.4 __finitel F
|
||||
|
||||
@@ -461,6 +461,9 @@ GLIBC_2.25 ufromfpxl F
|
||||
GLIBC_2.27 GLIBC_2.27 A
|
||||
GLIBC_2.27 exp2f F
|
||||
GLIBC_2.27 expf F
|
||||
GLIBC_2.27 log2f F
|
||||
GLIBC_2.27 logf F
|
||||
GLIBC_2.27 powf F
|
||||
GLIBC_2.4 GLIBC_2.4 A
|
||||
GLIBC_2.4 __clog10l F
|
||||
GLIBC_2.4 __finitel F
|
||||
|
||||
@@ -432,5 +432,8 @@ GLIBC_2.25 ufromfpxl F
|
||||
GLIBC_2.27 GLIBC_2.27 A
|
||||
GLIBC_2.27 exp2f F
|
||||
GLIBC_2.27 expf F
|
||||
GLIBC_2.27 log2f F
|
||||
GLIBC_2.27 logf F
|
||||
GLIBC_2.27 powf F
|
||||
GLIBC_2.4 GLIBC_2.4 A
|
||||
GLIBC_2.4 exp2l F
|
||||
|
||||
@@ -467,6 +467,9 @@ GLIBC_2.25 ufromfpxl F
|
||||
GLIBC_2.27 GLIBC_2.27 A
|
||||
GLIBC_2.27 exp2f F
|
||||
GLIBC_2.27 expf F
|
||||
GLIBC_2.27 log2f F
|
||||
GLIBC_2.27 logf F
|
||||
GLIBC_2.27 powf F
|
||||
GLIBC_2.4 GLIBC_2.4 A
|
||||
GLIBC_2.4 __clog10l F
|
||||
GLIBC_2.4 __finitel F
|
||||
|
||||
@@ -464,4 +464,7 @@ GLIBC_2.25 ufromfpxl F
|
||||
GLIBC_2.27 GLIBC_2.27 A
|
||||
GLIBC_2.27 exp2f F
|
||||
GLIBC_2.27 expf F
|
||||
GLIBC_2.27 log2f F
|
||||
GLIBC_2.27 logf F
|
||||
GLIBC_2.27 powf F
|
||||
GLIBC_2.4 GLIBC_2.4 A
|
||||
|
||||
@@ -432,3 +432,6 @@ GLIBC_2.25 ufromfpxl F
|
||||
GLIBC_2.27 GLIBC_2.27 A
|
||||
GLIBC_2.27 exp2f F
|
||||
GLIBC_2.27 expf F
|
||||
GLIBC_2.27 log2f F
|
||||
GLIBC_2.27 logf F
|
||||
GLIBC_2.27 powf F
|
||||
|
||||
@@ -432,3 +432,6 @@ GLIBC_2.25 ufromfpxl F
|
||||
GLIBC_2.27 GLIBC_2.27 A
|
||||
GLIBC_2.27 exp2f F
|
||||
GLIBC_2.27 expf F
|
||||
GLIBC_2.27 log2f F
|
||||
GLIBC_2.27 logf F
|
||||
GLIBC_2.27 powf F
|
||||
|
||||
@@ -432,3 +432,6 @@ GLIBC_2.25 ufromfpxl F
|
||||
GLIBC_2.27 GLIBC_2.27 A
|
||||
GLIBC_2.27 exp2f F
|
||||
GLIBC_2.27 expf F
|
||||
GLIBC_2.27 log2f F
|
||||
GLIBC_2.27 logf F
|
||||
GLIBC_2.27 powf F
|
||||
|
||||
@@ -603,4 +603,7 @@ GLIBC_2.26 ynf128 F
|
||||
GLIBC_2.27 GLIBC_2.27 A
|
||||
GLIBC_2.27 exp2f F
|
||||
GLIBC_2.27 expf F
|
||||
GLIBC_2.27 log2f F
|
||||
GLIBC_2.27 logf F
|
||||
GLIBC_2.27 powf F
|
||||
GLIBC_2.4 GLIBC_2.4 A
|
||||
|
||||
@@ -602,3 +602,6 @@ GLIBC_2.26 ynf128 F
|
||||
GLIBC_2.27 GLIBC_2.27 A
|
||||
GLIBC_2.27 exp2f F
|
||||
GLIBC_2.27 expf F
|
||||
GLIBC_2.27 log2f F
|
||||
GLIBC_2.27 logf F
|
||||
GLIBC_2.27 powf F
|
||||
|
||||
@@ -0,0 +1 @@
|
||||
#include <sysdeps/../math/w_expf.c>
|
||||
Reference in New Issue
Block a user