diff options
| -rw-r--r-- | ChangeLog | 21 | ||||
| -rw-r--r-- | sysdeps/generic/e_exp2l.c | 14 | ||||
| -rw-r--r-- | sysdeps/i386/fpu/e_exp2.S | 37 | ||||
| -rw-r--r-- | sysdeps/i386/fpu/e_exp2f.S | 37 | ||||
| -rw-r--r-- | sysdeps/i386/fpu/e_exp2l.S | 37 | ||||
| -rw-r--r-- | sysdeps/ieee754/dbl-64/e_exp2.c | 130 | ||||
| -rw-r--r-- | sysdeps/ieee754/flt-32/e_exp2f.c | 128 | ||||
| -rw-r--r-- | sysdeps/m68k/fpu/e_exp2.c | 2 | ||||
| -rw-r--r-- | sysdeps/m68k/fpu/e_exp2f.c | 2 | ||||
| -rw-r--r-- | sysdeps/m68k/fpu/e_exp2l.c | 2 |
10 files changed, 410 insertions, 0 deletions
@@ -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. diff --git a/sysdeps/generic/e_exp2l.c b/sysdeps/generic/e_exp2l.c new file mode 100644 index 0000000..64ef6d3 --- /dev/null +++ b/sysdeps/generic/e_exp2l.c @@ -0,0 +1,14 @@ +#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> diff --git a/sysdeps/i386/fpu/e_exp2.S b/sysdeps/i386/fpu/e_exp2.S new file mode 100644 index 0000000..778c0c0 --- /dev/null +++ b/sysdeps/i386/fpu/e_exp2.S @@ -0,0 +1,37 @@ +/* + * 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) diff --git a/sysdeps/i386/fpu/e_exp2f.S b/sysdeps/i386/fpu/e_exp2f.S new file mode 100644 index 0000000..c2d1af1 --- /dev/null +++ b/sysdeps/i386/fpu/e_exp2f.S @@ -0,0 +1,37 @@ +/* + * 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) diff --git a/sysdeps/i386/fpu/e_exp2l.S b/sysdeps/i386/fpu/e_exp2l.S new file mode 100644 index 0000000..fa1fdc9 --- /dev/null +++ b/sysdeps/i386/fpu/e_exp2l.S @@ -0,0 +1,37 @@ +/* + * 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) diff --git a/sysdeps/ieee754/dbl-64/e_exp2.c b/sysdeps/ieee754/dbl-64/e_exp2.c new file mode 100644 index 0000000..d02af15 --- /dev/null +++ b/sysdeps/ieee754/dbl-64/e_exp2.c @@ -0,0 +1,130 @@ +/* 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; +} diff --git a/sysdeps/ieee754/flt-32/e_exp2f.c b/sysdeps/ieee754/flt-32/e_exp2f.c new file mode 100644 index 0000000..4d529ea --- /dev/null +++ b/sysdeps/ieee754/flt-32/e_exp2f.c @@ -0,0 +1,128 @@ +/* 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; +} diff --git a/sysdeps/m68k/fpu/e_exp2.c b/sysdeps/m68k/fpu/e_exp2.c new file mode 100644 index 0000000..24fac4f --- /dev/null +++ b/sysdeps/m68k/fpu/e_exp2.c @@ -0,0 +1,2 @@ +#define FUNC __ieee754_exp2 +#include <e_acos.c> diff --git a/sysdeps/m68k/fpu/e_exp2f.c b/sysdeps/m68k/fpu/e_exp2f.c new file mode 100644 index 0000000..593842e --- /dev/null +++ b/sysdeps/m68k/fpu/e_exp2f.c @@ -0,0 +1,2 @@ +#define FUNC __ieee754_exp2f +#include <e_acosf.c> diff --git a/sysdeps/m68k/fpu/e_exp2l.c b/sysdeps/m68k/fpu/e_exp2l.c new file mode 100644 index 0000000..0ab2a42 --- /dev/null +++ b/sysdeps/m68k/fpu/e_exp2l.c @@ -0,0 +1,2 @@ +#define FUNC __ieee754_exp2l +#include <e_acosl.c> |