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Optimize exp
Add __exp*_finite optimizations and rewrite some wrappers.
This commit is contained in:
Ulrich Drepper
parent
ba1a0d5938
commit
bcf01e6d80
15
ChangeLog
15
ChangeLog
@ -1,5 +1,20 @@
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2011-10-15 Ulrich Drepper <drepper@gmail.com>
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* math/Versions [libm] (GLIBC_2.15): Add __exp_finite, __expf_finite,
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__expl_finite.
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* math/bits/math-finite.h: Add entries for exp.
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* math/e_expl.c: Add __*_finite alias.
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* sysdeps/i386/fpu/e_exp.S: Likewise.
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* sysdeps/i386/fpu/e_expf.S: Likewise.
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* sysdeps/i386/fpu/e_expl.c: Likewise.
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* sysdeps/ieee754/dbl-64/e_exp.c: Likewise.
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* sysdeps/ieee754/flt-32/e_expf.c: Likewise.
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* sysdeps/ieee754/ldbl-128/e_expl.c: Likewise.
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* sysdeps/ieee754/ldbl-128ibm/e_expl.c: Likewise.
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* sysdeps/ieee754/dbl-64/w_exp.c: Complete rewrite.
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* sysdeps/ieee754/flt-32/w_expf.c: Likewise.
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* sysdeps/ieee754/ldbl-96/w_expl.c: Likewise.
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* sysdeps/i386/i686/fpu/e_logf.S: No need for the fyl2xp1 use, fyl2x
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is sufficient, at least on modern CPUs.
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@ -196,5 +196,6 @@ libm {
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__sinh_finite; __sinhf_finite; __sinhl_finite;
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__sqrt_finite; __sqrtf_finite; __sqrtl_finite;
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__gamma_r_finite; __gammaf_r_finite; __gammal_r_finite;
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__exp_finite; __expf_finite; __expl_finite;
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}
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}
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@ -67,6 +67,13 @@ extern float coshf (float) __asm__ ("__coshf_finite");
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extern long double coshl (long double) __asm__ ("__coshl_finite");
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#endif
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/* exp. */
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extern double exp (double) __asm__ ("__exp_finite");
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extern float expf (float) __asm__ ("__expf_finite");
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#ifdef __MATH_DECLARE_LDOUBLE
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extern long double expl (long double) __asm__ ("__expl_finite");
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#endif
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#ifdef __USE_GNU
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/* exp10. */
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extern double exp10 (double) __asm__ ("__exp10_finite");
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@ -9,6 +9,7 @@ __ieee754_expl (long double x)
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__set_errno (ENOSYS);
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return 0.0;
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}
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strong_alias (__ieee754_expl, __expl_finite)
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stub_warning (expl)
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#include <stub-tag.h>
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@ -5,7 +5,6 @@
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#include <machine/asm.h>
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RCSID("$NetBSD: e_exp.S,v 1.7 1996/07/03 17:31:28 jtc Exp $")
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/* e^x = 2^(x * log2(e)) */
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ENTRY(__ieee754_exp)
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@ -39,3 +38,19 @@ ENTRY(__ieee754_exp)
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fldz /* Set result to 0. */
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2: ret
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END (__ieee754_exp)
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ENTRY(__exp_finite)
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fldl2e
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fmull 4(%esp) /* x * log2(e) */
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fld %st
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frndint /* int(x * log2(e)) */
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fsubr %st,%st(1) /* fract(x * log2(e)) */
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fxch
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f2xm1 /* 2^(fract(x * log2(e))) - 1 */
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fld1
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faddp /* 2^(fract(x * log2(e))) */
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fscale /* e^x */
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fstp %st(1)
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ret
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END(__exp_finite)
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@ -6,7 +6,6 @@
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#include <machine/asm.h>
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RCSID("$NetBSD: $")
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/* e^x = 2^(x * log2(e)) */
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ENTRY(__ieee754_expf)
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@ -40,3 +39,19 @@ ENTRY(__ieee754_expf)
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fldz /* Set result to 0. */
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2: ret
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END (__ieee754_expf)
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ENTRY(__expf_finite)
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fldl2e
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fmuls 4(%esp) /* x * log2(e) */
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fld %st
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frndint /* int(x * log2(e)) */
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fsubr %st,%st(1) /* fract(x * log2(e)) */
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fxch
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f2xm1 /* 2^(fract(x * log2(e))) - 1 */
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fld1
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faddp /* 2^(fract(x * log2(e))) */
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fscale /* e^x */
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fstp %st(1)
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ret
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END(__expf_finite)
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@ -63,7 +63,7 @@ __ieee754_expl (long double x)
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"fld1\n\t" /* 4 1.0 */
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"faddp\n\t" /* 3 2^(fract(x * log2(e))) */
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"fstp %%st(1)\n\t" /* 2 */
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"fscale\n\t" /* 2 scale factor is st(1); e^x */
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"fscale\n\t" /* 2 scale factor is st(1); e^x */
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"fstp %%st(1)\n\t" /* 1 */
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"fstp %%st(1)\n\t" /* 0 */
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"jmp 2f\n\t"
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@ -75,3 +75,4 @@ __ieee754_expl (long double x)
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: "=t" (res) : "0" (x), "m" (c0), "m" (c1) : "ax", "dx");
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return res;
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}
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strong_alias (__ieee754_expl, __expl_finite)
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@ -1,7 +1,7 @@
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/*
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* IBM Accurate Mathematical Library
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* written by International Business Machines Corp.
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* Copyright (C) 2001 Free Software Foundation
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* Copyright (C) 2001, 2011 Free Software Foundation
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*
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* This program is free software; you can redistribute it and/or modify
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* it under the terms of the GNU Lesser General Public License as published by
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@ -145,6 +145,7 @@ double __ieee754_exp(double x) {
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else return __slowexp(x);
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}
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}
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strong_alias (__ieee754_exp, __exp_finite)
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/************************************************************************/
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/* Compute e^(x+xx)(Double-Length number) .The routine also receive */
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@ -1,55 +1,46 @@
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/* @(#)w_exp.c 5.1 93/09/24 */
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/*
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* ====================================================
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* Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
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*
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* Developed at SunPro, a Sun Microsystems, Inc. business.
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* Permission to use, copy, modify, and distribute this
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* software is freely granted, provided that this notice
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* is preserved.
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* ====================================================
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*/
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/* Copyright (C) 2011 Free Software Foundation, Inc.
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This file is part of the GNU C Library.
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Contributed by Ulrich Drepper <drepper@gmail.com>, 2011.
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#if defined(LIBM_SCCS) && !defined(lint)
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static char rcsid[] = "$NetBSD: w_exp.c,v 1.6 1995/05/10 20:48:51 jtc Exp $";
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#endif
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The GNU C Library is free software; you can redistribute it and/or
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modify it under the terms of the GNU Lesser General Public
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License as published by the Free Software Foundation; either
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version 2.1 of the License, or (at your option) any later version.
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/*
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* wrapper exp(x)
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*/
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The GNU C Library is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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Lesser General Public License for more details.
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#include "math.h"
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#include "math_private.h"
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You should have received a copy of the GNU Lesser General Public
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License along with the GNU C Library; if not, write to the Free
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Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA
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02111-1307 USA. */
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#include <math.h>
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#include <math_private.h>
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#ifdef __STDC__
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static const double
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#else
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static double
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#endif
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o_threshold= 7.09782712893383973096e+02, /* 0x40862E42, 0xFEFA39EF */
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u_threshold= -7.45133219101941108420e+02; /* 0xc0874910, 0xD52D3051 */
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#ifdef __STDC__
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double __exp(double x) /* wrapper exp */
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#else
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double __exp(x) /* wrapper exp */
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double x;
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#endif
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/* wrapper exp */
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double
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__exp (double x)
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{
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#ifdef _IEEE_LIBM
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return __ieee754_exp(x);
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#else
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double z;
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z = __ieee754_exp(x);
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if(_LIB_VERSION == _IEEE_) return z;
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if(__finite(x)) {
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if(x>o_threshold)
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return __kernel_standard(x,x,6); /* exp overflow */
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else if(x<u_threshold)
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return __kernel_standard(x,x,7); /* exp underflow */
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}
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return z;
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#endif
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if (__builtin_expect (x > o_threshold, 0))
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{
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if (_LIB_VERSION != _IEEE_)
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return __kernel_standard_f (x, x, 6);
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}
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else if (__builtin_expect (x < u_threshold, 0))
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{
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if (_LIB_VERSION != _IEEE_)
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return __kernel_standard_f (x, x, 7);
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}
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return __ieee754_exp (x);
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}
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hidden_def (__exp)
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weak_alias (__exp, exp)
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@ -1,5 +1,5 @@
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/* Single-precision floating point e^x.
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Copyright (C) 1997, 1998, 2005, 2006 Free Software Foundation, Inc.
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Copyright (C) 1997, 1998, 2005, 2006, 2011 Free Software Foundation, Inc.
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This file is part of the GNU C Library.
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Contributed by Geoffrey Keating <geoffk@ozemail.com.au>
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@ -33,8 +33,8 @@
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Then e^x is approximated as
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e^x = 2^n ( e^(t/512 + delta[t])
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+ ( e^(t/512 + delta[t])
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* ( p(x + delta[t] + n * ln(2)) - delta ) ) )
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+ ( e^(t/512 + delta[t])
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* ( p(x + delta[t] + n * ln(2)) - delta ) ) )
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where
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- p(x) is a polynomial approximating e(x)-1;
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@ -138,3 +138,4 @@ __ieee754_expf (float x)
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/* Return x, if x is a NaN or Inf; or overflow, otherwise. */
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return TWO127*x;
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}
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strong_alias (__ieee754_expf, __expf_finite)
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@ -1,60 +1,46 @@
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/* w_expf.c -- float version of w_exp.c.
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* Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
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*/
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/* Copyright (C) 2011 Free Software Foundation, Inc.
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This file is part of the GNU C Library.
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Contributed by Ulrich Drepper <drepper@gmail.com>, 2011.
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/*
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* ====================================================
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* Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
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*
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* Developed at SunPro, a Sun Microsystems, Inc. business.
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* Permission to use, copy, modify, and distribute this
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* software is freely granted, provided that this notice
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* is preserved.
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* ====================================================
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*/
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The GNU C Library is free software; you can redistribute it and/or
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modify it under the terms of the GNU Lesser General Public
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License as published by the Free Software Foundation; either
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version 2.1 of the License, or (at your option) any later version.
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#if defined(LIBM_SCCS) && !defined(lint)
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static char rcsid[] = "$NetBSD: w_expf.c,v 1.3 1995/05/10 20:48:53 jtc Exp $";
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#endif
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The GNU C Library is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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Lesser General Public License for more details.
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/*
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* wrapper expf(x)
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*/
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You should have received a copy of the GNU Lesser General Public
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License along with the GNU C Library; if not, write to the Free
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Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA
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02111-1307 USA. */
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#include "math.h"
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#include "math_private.h"
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#include <math.h>
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#include <math_private.h>
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#ifdef __STDC__
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static const float
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#else
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static float
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#endif
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o_threshold= 8.8722831726e+01, /* 0x42b17217 */
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u_threshold= -1.0397208405e+02; /* 0xc2cff1b5 */
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#ifdef __STDC__
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float __expf(float x) /* wrapper expf */
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#else
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float __expf(x) /* wrapper expf */
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float x;
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#endif
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/* wrapper expf */
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float
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__expf (float x)
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{
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#ifdef _IEEE_LIBM
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return __ieee754_expf(x);
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#else
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float z;
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z = __ieee754_expf(x);
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if(_LIB_VERSION == _IEEE_) return z;
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if(__finitef(x)) {
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if(x>o_threshold)
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/* exp overflow */
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return (float)__kernel_standard((double)x,(double)x,106);
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else if(x<u_threshold)
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/* exp underflow */
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return (float)__kernel_standard((double)x,(double)x,107);
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}
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return z;
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#endif
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if (__builtin_expect (x > o_threshold, 0))
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{
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if (_LIB_VERSION != _IEEE_)
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return __kernel_standard_f (x, x, 106);
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}
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else if (__builtin_expect (x < u_threshold, 0))
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{
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if (_LIB_VERSION != _IEEE_)
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return __kernel_standard_f (x, x, 107);
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}
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return __ieee754_expf (x);
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}
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hidden_def (__expf)
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weak_alias (__expf, expf)
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@ -1,5 +1,5 @@
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/* Quad-precision floating point e^x.
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Copyright (C) 1999 Free Software Foundation, Inc.
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Copyright (C) 1999, 2011 Free Software Foundation, Inc.
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This file is part of the GNU C Library.
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Contributed by Jakub Jelinek <jj@ultra.linux.cz>
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Partly based on double-precision code
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@ -73,7 +73,7 @@ static const long double C[] = {
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/* Smallest integer x for which e^x overflows. */
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#define himark C[0]
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11356.523406294143949491931077970765L,
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/* Largest integer x for which e^x underflows. */
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#define lomark C[1]
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-11433.4627433362978788372438434526231L,
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@ -247,3 +247,4 @@ __ieee754_expl (long double x)
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/* Return x, if x is a NaN or Inf; or overflow, otherwise. */
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return TWO16383*x;
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}
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strong_alias (__ieee754_expl, __expl_finite)
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@ -1,5 +1,5 @@
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/* Quad-precision floating point e^x.
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Copyright (C) 1999,2004,2006, 2008 Free Software Foundation, Inc.
|
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Copyright (C) 1999,2004,2006, 2008, 2011 Free Software Foundation, Inc.
|
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This file is part of the GNU C Library.
|
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Contributed by Jakub Jelinek <jj@ultra.linux.cz>
|
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Partly based on double-precision code
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@ -255,3 +255,4 @@ __ieee754_expl (long double x)
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/* Return x, if x is a NaN or Inf; or overflow, otherwise. */
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return TWO1023*x;
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}
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strong_alias (__ieee754_expl, __expl_finite)
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@ -1,61 +1,48 @@
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/* w_expl.c -- long double version of w_exp.c.
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* Conversion to long double by Ulrich Drepper,
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* Cygnus Support, drepper@cygnus.com.
|
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*/
|
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/* Copyright (C) 2011 Free Software Foundation, Inc.
|
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This file is part of the GNU C Library.
|
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Contributed by Ulrich Drepper <drepper@gmail.com>, 2011.
|
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|
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/*
|
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* ====================================================
|
||||
* 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.
|
||||
|
||||
#if defined(LIBM_SCCS) && !defined(lint)
|
||||
static char rcsid[] = "$NetBSD: $";
|
||||
#endif
|
||||
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.
|
||||
|
||||
/*
|
||||
* wrapper expl(x)
|
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*/
|
||||
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. */
|
||||
|
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#include "math.h"
|
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#include "math_private.h"
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#include <math.h>
|
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#include <math_private.h>
|
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|
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#ifdef __STDC__
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static const long double
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#else
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static long double
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#endif
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o_threshold= 1.135652340629414394949193107797076489134e4,
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/* 0x400C, 0xB17217F7, 0xD1CF79AC */
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u_threshold= -1.140019167866942050398521670162263001513e4;
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/* 0x400C, 0xB220C447, 0x69C201E8 */
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#ifdef __STDC__
|
||||
long double __expl(long double x) /* wrapper exp */
|
||||
#else
|
||||
long double __expl(x) /* wrapper exp */
|
||||
long double x;
|
||||
#endif
|
||||
|
||||
/* wrapper expl */
|
||||
long double
|
||||
__expl (long double x)
|
||||
{
|
||||
#ifdef _IEEE_LIBM
|
||||
return __ieee754_expl(x);
|
||||
#else
|
||||
long double z;
|
||||
z = __ieee754_expl(x);
|
||||
if(_LIB_VERSION == _IEEE_) return z;
|
||||
if(__finitel(x)) {
|
||||
if(x>o_threshold)
|
||||
return __kernel_standard(x,x,206); /* exp overflow */
|
||||
else if(x<u_threshold)
|
||||
return __kernel_standard(x,x,207); /* exp underflow */
|
||||
}
|
||||
return z;
|
||||
#endif
|
||||
if (__builtin_expect (x > o_threshold, 0))
|
||||
{
|
||||
if (_LIB_VERSION != _IEEE_)
|
||||
return __kernel_standard (x, x, 206);
|
||||
}
|
||||
else if (__builtin_expect (x < u_threshold, 0))
|
||||
{
|
||||
if (_LIB_VERSION != _IEEE_)
|
||||
return __kernel_standard (x, x, 207);
|
||||
}
|
||||
|
||||
return __ieee754_expl (x);
|
||||
}
|
||||
hidden_def (__expl)
|
||||
weak_alias (__expl, expl)
|
||||
|
||||
Loading…
Reference in New Issue
Block a user