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2001-02-17  Ulrich Drepper  <drepper@redhat.com>

	* sysdeps/generic/s_exp2l.c: Renamed to...
	* sysdeps/generic/s_exp2l.c: ...this.   New file.
	* sysdeps/i386/fpu/s_exp2.S: Renamed to...
	* sysdeps/i386/fpu/s_exp2.S: ...this.   New file.
	* sysdeps/i386/fpu/s_exp2f.S: Renamed to...
	* sysdeps/i386/fpu/s_exp2f.S: ...this.   New file.
	* sysdeps/i386/fpu/s_exp2l.S: Renamed to...
	* sysdeps/i386/fpu/s_exp2l.S: ...this.   New file.
	* sysdeps/ieee754/flt-32/s_exp2f.c: Renamed to...
	* sysdeps/ieee754/flt-32/s_exp2f.c: ...this.   New file.
	* sysdeps/ieee754/dbl-64/s_exp2.c: Renamed to...
	* sysdeps/ieee754/dbl-64/s_exp2.c: ...this.   New file.
	* sysdeps/m68k/fpu/s_exp2.c: Renamed to...
	* sysdeps/m68k/fpu/s_exp2.c: ...this.   New file.
	* sysdeps/m68k/fpu/s_exp2f.c: Renamed to...
	* sysdeps/m68k/fpu/s_exp2f.c: ...this.   New file.
	* sysdeps/m68k/fpu/s_exp2l.c: Renamed to...
	* sysdeps/m68k/fpu/s_exp2l.c: ...this.   New file.
This commit is contained in:
Ulrich Drepper 2001-02-17 16:54:13 +00:00
parent d313277ad2
commit 63640cb777
10 changed files with 410 additions and 0 deletions
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21
ChangeLog
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@ -1,3 +1,24 @@
2001-02-17 Ulrich Drepper <drepper@redhat.com>
* sysdeps/generic/s_exp2l.c: Renamed to...
* sysdeps/generic/s_exp2l.c: ...this. New file.
* sysdeps/i386/fpu/s_exp2.S: Renamed to...
* sysdeps/i386/fpu/s_exp2.S: ...this. New file.
* sysdeps/i386/fpu/s_exp2f.S: Renamed to...
* sysdeps/i386/fpu/s_exp2f.S: ...this. New file.
* sysdeps/i386/fpu/s_exp2l.S: Renamed to...
* sysdeps/i386/fpu/s_exp2l.S: ...this. New file.
* sysdeps/ieee754/flt-32/s_exp2f.c: Renamed to...
* sysdeps/ieee754/flt-32/s_exp2f.c: ...this. New file.
* sysdeps/ieee754/dbl-64/s_exp2.c: Renamed to...
* sysdeps/ieee754/dbl-64/s_exp2.c: ...this. New file.
* sysdeps/m68k/fpu/s_exp2.c: Renamed to...
* sysdeps/m68k/fpu/s_exp2.c: ...this. New file.
* sysdeps/m68k/fpu/s_exp2f.c: Renamed to...
* sysdeps/m68k/fpu/s_exp2f.c: ...this. New file.
* sysdeps/m68k/fpu/s_exp2l.c: Renamed to...
* sysdeps/m68k/fpu/s_exp2l.c: ...this. New file.
2001-02-17 Andreas Jaeger <aj@suse.de>
* configure.in: Allow gcc 3.

14
sysdeps/generic/e_exp2l.c Normal file
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#include <math.h>
#include <stdio.h>
#include <errno.h>
long double
__ieee754_exp2l (long double x)
{
fputs ("__ieee754_exp2l not implemented\n", stderr);
__set_errno (ENOSYS);
return 0.0;
}
stub_warning (exp2l)
#include <stub-tag.h>

37
sysdeps/i386/fpu/e_exp2.S Normal file
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/*
* Written by J.T. Conklin <jtc@netbsd.org>.
* Adapted for exp2 by Ulrich Drepper <drepper@cygnus.com>.
* Public domain.
*/
#include <machine/asm.h>
ENTRY(__ieee754_exp2)
fldl 4(%esp)
/* I added the following ugly construct because exp(+-Inf) resulted
in NaN. The ugliness results from the bright minds at Intel.
For the i686 the code can be written better.
-- drepper@cygnus.com. */
fxam /* Is NaN or +-Inf? */
fstsw %ax
movb $0x45, %dh
andb %ah, %dh
cmpb $0x05, %dh
je 1f /* Is +-Inf, jump. */
fld %st
frndint /* int(x) */
fsubr %st,%st(1) /* fract(x) */
fxch
f2xm1 /* 2^(fract(x)) - 1 */
fld1
faddp /* 2^(fract(x)) */
fscale /* e^x */
fstp %st(1)
ret
1: testl $0x200, %eax /* Test sign. */
jz 2f /* If positive, jump. */
fstp %st
fldz /* Set result to 0. */
2: ret
END (__ieee754_exp2)

37
sysdeps/i386/fpu/e_exp2f.S Normal file
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/*
* Written by J.T. Conklin <jtc@netbsd.org>.
* Adapted for exp2 by Ulrich Drepper <drepper@cygnus.com>.
* Public domain.
*/
#include <machine/asm.h>
ENTRY(__ieee754_exp2f)
flds 4(%esp)
/* I added the following ugly construct because exp(+-Inf) resulted
in NaN. The ugliness results from the bright minds at Intel.
For the i686 the code can be written better.
-- drepper@cygnus.com. */
fxam /* Is NaN or +-Inf? */
fstsw %ax
movb $0x45, %dh
andb %ah, %dh
cmpb $0x05, %dh
je 1f /* Is +-Inf, jump. */
fld %st
frndint /* int(x) */
fsubr %st,%st(1) /* fract(x) */
fxch
f2xm1 /* 2^(fract(x)) - 1 */
fld1
faddp /* 2^(fract(x)) */
fscale /* e^x */
fstp %st(1)
ret
1: testl $0x200, %eax /* Test sign. */
jz 2f /* If positive, jump. */
fstp %st
fldz /* Set result to 0. */
2: ret
END (__ieee754_exp2f)

37
sysdeps/i386/fpu/e_exp2l.S Normal file
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/*
* Written by J.T. Conklin <jtc@netbsd.org>.
* Adapted for exp2 by Ulrich Drepper <drepper@cygnus.com>.
* Public domain.
*/
#include <machine/asm.h>
ENTRY(__ieee754_exp2l)
fldt 4(%esp)
/* I added the following ugly construct because exp(+-Inf) resulted
in NaN. The ugliness results from the bright minds at Intel.
For the i686 the code can be written better.
-- drepper@cygnus.com. */
fxam /* Is NaN or +-Inf? */
fstsw %ax
movb $0x45, %dh
andb %ah, %dh
cmpb $0x05, %dh
je 1f /* Is +-Inf, jump. */
fld %st
frndint /* int(x) */
fsubr %st,%st(1) /* fract(x) */
fxch
f2xm1 /* 2^(fract(x)) - 1 */
fld1
faddp /* 2^(fract(x)) */
fscale /* e^x */
fstp %st(1)
ret
1: testl $0x200, %eax /* Test sign. */
jz 2f /* If positive, jump. */
fstp %st
fldz /* Set result to 0. */
2: ret
END (__ieee754_exp2l)

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sysdeps/ieee754/dbl-64/e_exp2.c Normal file
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/* Double-precision floating point 2^x.
Copyright (C) 1997, 1998, 2000 Free Software Foundation, Inc.
This file is part of the GNU C Library.
Contributed by Geoffrey Keating <geoffk@ozemail.com.au>
The GNU C Library is free software; you can redistribute it and/or
modify it under the terms of the GNU Library General Public License as
published by the Free Software Foundation; either version 2 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
Library General Public License for more details.
You should have received a copy of the GNU Library General Public
License along with the GNU C Library; see the file COPYING.LIB. If not,
write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
Boston, MA 02111-1307, USA. */
/* The basic design here is from
Shmuel Gal and Boris Bachelis, "An Accurate Elementary Mathematical
Library for the IEEE Floating Point Standard", ACM Trans. Math. Soft.,
17 (1), March 1991, pp. 26-45.
It has been slightly modified to compute 2^x instead of e^x.
*/
#ifndef _GNU_SOURCE
#define _GNU_SOURCE
#endif
#include <stdlib.h>
#include <float.h>
#include <ieee754.h>
#include <math.h>
#include <fenv.h>
#include <inttypes.h>
#include <math_private.h>
#include "t_exp2.h"
static const volatile double TWO1023 = 8.988465674311579539e+307;
static const volatile double TWOM1000 = 9.3326361850321887899e-302;
double
__ieee754_exp2 (double x)
{
static const double himark = (double) DBL_MAX_EXP;
static const double lomark = (double) (DBL_MIN_EXP - DBL_MANT_DIG - 1) - 1.0;
/* Check for usual case. */
if (isless (x, himark) && isgreater (x, lomark))
{
static const double THREEp42 = 13194139533312.0;
int tval, unsafe;
double rx, x22, result;
union ieee754_double ex2_u, scale_u;
fenv_t oldenv;
feholdexcept (&oldenv);
#ifdef FE_TONEAREST
/* If we don't have this, it's too bad. */
fesetround (FE_TONEAREST);
#endif
/* 1. Argument reduction.
Choose integers ex, -256 <= t < 256, and some real
-1/1024 <= x1 <= 1024 so that
x = ex + t/512 + x1.
First, calculate rx = ex + t/512. */
rx = x + THREEp42;
rx -= THREEp42;
x -= rx; /* Compute x=x1. */
/* Compute tval = (ex*512 + t)+256.
Now, t = (tval mod 512)-256 and ex=tval/512 [that's mod, NOT %; and
/-round-to-nearest not the usual c integer /]. */
tval = (int) (rx * 512.0 + 256.0);
/* 2. Adjust for accurate table entry.
Find e so that
x = ex + t/512 + e + x2
where -1e6 < e < 1e6, and
(double)(2^(t/512+e))
is accurate to one part in 2^-64. */
/* 'tval & 511' is the same as 'tval%512' except that it's always
positive.
Compute x = x2. */
x -= exp2_deltatable[tval & 511];
/* 3. Compute ex2 = 2^(t/512+e+ex). */
ex2_u.d = exp2_accuratetable[tval & 511];
tval >>= 9;
unsafe = abs(tval) >= -DBL_MIN_EXP - 1;
ex2_u.ieee.exponent += tval >> unsafe;
scale_u.d = 1.0;
scale_u.ieee.exponent += tval - (tval >> unsafe);
/* 4. Approximate 2^x2 - 1, using a fourth-degree polynomial,
with maximum error in [-2^-10-2^-30,2^-10+2^-30]
less than 10^-19. */
x22 = (((.0096181293647031180
* x + .055504110254308625)
* x + .240226506959100583)
* x + .69314718055994495) * ex2_u.d;
/* 5. Return (2^x2-1) * 2^(t/512+e+ex) + 2^(t/512+e+ex). */
fesetenv (&oldenv);
result = x22 * x + ex2_u.d;
if (!unsafe)
return result;
else
return result * scale_u.d;
}
/* Exceptional cases: */
else if (isless (x, himark))
{
if (__isinf (x))
/* e^-inf == 0, with no error. */
return 0;
else
/* Underflow */
return TWOM1000 * TWOM1000;
}
else
/* Return x, if x is a NaN or Inf; or overflow, otherwise. */
return TWO1023*x;
}

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sysdeps/ieee754/flt-32/e_exp2f.c Normal file
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/* Single-precision floating point 2^x.
Copyright (C) 1997, 1998, 2000 Free Software Foundation, Inc.
This file is part of the GNU C Library.
Contributed by Geoffrey Keating <geoffk@ozemail.com.au>
The GNU C Library is free software; you can redistribute it and/or
modify it under the terms of the GNU Library General Public License as
published by the Free Software Foundation; either version 2 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
Library General Public License for more details.
You should have received a copy of the GNU Library General Public
License along with the GNU C Library; see the file COPYING.LIB. If not,
write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
Boston, MA 02111-1307, USA. */
/* The basic design here is from
Shmuel Gal and Boris Bachelis, "An Accurate Elementary Mathematical
Library for the IEEE Floating Point Standard", ACM Trans. Math. Soft.,
17 (1), March 1991, pp. 26-45.
It has been slightly modified to compute 2^x instead of e^x, and for
single-precision.
*/
#ifndef _GNU_SOURCE
# define _GNU_SOURCE
#endif
#include <stdlib.h>
#include <float.h>
#include <ieee754.h>
#include <math.h>
#include <fenv.h>
#include <inttypes.h>
#include <math_private.h>
#include "t_exp2f.h"
static const volatile float TWOM100 = 7.88860905e-31;
static const volatile float TWO127 = 1.7014118346e+38;
float
__ieee754_exp2f (float x)
{
static const float himark = (float) FLT_MAX_EXP;
static const float lomark = (float) (FLT_MIN_EXP - FLT_MANT_DIG - 1) - 1.0;
/* Check for usual case. */
if (isless (x, himark) && isgreater (x, lomark))
{
static const float THREEp14 = 49152.0;
int tval, unsafe;
float rx, x22, result;
union ieee754_float ex2_u, scale_u;
fenv_t oldenv;
feholdexcept (&oldenv);
#ifdef FE_TONEAREST
/* If we don't have this, it's too bad. */
fesetround (FE_TONEAREST);
#endif
/* 1. Argument reduction.
Choose integers ex, -128 <= t < 128, and some real
-1/512 <= x1 <= 1/512 so that
x = ex + t/512 + x1.
First, calculate rx = ex + t/256. */
rx = x + THREEp14;
rx -= THREEp14;
x -= rx; /* Compute x=x1. */
/* Compute tval = (ex*256 + t)+128.
Now, t = (tval mod 256)-128 and ex=tval/256 [that's mod, NOT %; and
/-round-to-nearest not the usual c integer /]. */
tval = (int) (rx * 256.0f + 128.0f);
/* 2. Adjust for accurate table entry.
Find e so that
x = ex + t/256 + e + x2
where -7e-4 < e < 7e-4, and
(float)(2^(t/256+e))
is accurate to one part in 2^-64. */
/* 'tval & 255' is the same as 'tval%256' except that it's always
positive.
Compute x = x2. */
x -= __exp2f_deltatable[tval & 255];
/* 3. Compute ex2 = 2^(t/255+e+ex). */
ex2_u.f = __exp2f_atable[tval & 255];
tval >>= 8;
unsafe = abs(tval) >= -FLT_MIN_EXP - 1;
ex2_u.ieee.exponent += tval >> unsafe;
scale_u.f = 1.0;
scale_u.ieee.exponent += tval - (tval >> unsafe);
/* 4. Approximate 2^x2 - 1, using a second-degree polynomial,
with maximum error in [-2^-9 - 2^-14, 2^-9 + 2^-14]
less than 1.3e-10. */
x22 = (.24022656679f * x + .69314736128f) * ex2_u.f;
/* 5. Return (2^x2-1) * 2^(t/512+e+ex) + 2^(t/512+e+ex). */
fesetenv (&oldenv);
result = x22 * x + ex2_u.f;
if (!unsafe)
return result;
else
return result * scale_u.f;
}
/* Exceptional cases: */
else if (isless (x, himark))
{
if (__isinff (x))
/* e^-inf == 0, with no error. */
return 0;
else
/* Underflow */
return TWOM100 * TWOM100;
}
else
/* Return x, if x is a NaN or Inf; or overflow, otherwise. */
return TWO127*x;
}

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sysdeps/m68k/fpu/e_exp2.c Normal file
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#define FUNC __ieee754_exp2
#include <e_acos.c>

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sysdeps/m68k/fpu/e_exp2f.c Normal file
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#define FUNC __ieee754_exp2f
#include <e_acosf.c>

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sysdeps/m68k/fpu/e_exp2l.c Normal file
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#define FUNC __ieee754_exp2l
#include <e_acosl.c>