glibc/sysdeps/ieee754/dbl-64/atnat.h

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Update. 2001-03-11 Ulrich Drepper <drepper@redhat.com> Last-bit accurate math library implementation by IBM Haifa. Contributed by Abraham Ziv <ziv@il.ibm.com>, Moshe Olshansky <olshansk@il.ibm.com>, Ealan Henis <ealan@il.ibm.com>, and Anna Reitman <reitman@il.ibm.com>. * math/Makefile (dbl-only-routines): New variable. (libm-routines): Add $(dbl-only-routines). * sysdeps/ieee754/dbl-64/e_acos.c: Empty, definition is in e_asin.c. * sysdeps/ieee754/dbl-64/e_asin.c: Replaced with accurate asin implementation. * sysdeps/ieee754/dbl-64/e_atan2.c: Replaced with accurate atan2 implementation. * sysdeps/ieee754/dbl-64/e_exp.c: Replaced with accurate exp implementation. * sysdeps/ieee754/dbl-64/e_lgamma_r.c: Don't use __kernel_sin and __kernel_cos. * sysdeps/ieee754/dbl-64/e_log.c: Replaced with accurate log implementation. * sysdeps/ieee754/dbl-64/e_remainder.c: Replaced with accurate remainder implementation. * sysdeps/ieee754/dbl-64/e_pow.c: Replaced with accurate pow implementation. * sysdeps/ieee754/dbl-64/e_sqrt.c: Replaced with accurate sqrt implementation. * sysdeps/ieee754/dbl-64/k_cos.c: Empty, definition is in s_sin.c. * sysdeps/ieee754/dbl-64/k_sin.c: Empty, definition is in s_sin.c. * sysdeps/ieee754/dbl-64/s_atan.c: Replaced with accurate atan implementation. * sysdeps/ieee754/dbl-64/s_cos.c: Empty, definition is in s_sin.c. * sysdeps/ieee754/dbl-64/s_sin.c: Replaced with accurate sin/cos implementation. * sysdeps/ieee754/dbl-64/s_sincos.c: Rewritten to not use __kernel_sin and __kernel_cos. * sysdeps/ieee754/dbl-64/s_tan.c: Replaced with accurate tan implementation. * sysdeps/ieee754/dbl-64/Dist: Add new non-code files. * sysdeps/ieee754/dbl-64/MathLib.h: New file. * sysdeps/ieee754/dbl-64/asincos.tbl: New file. * sysdeps/ieee754/dbl-64/atnat.h: New file. * sysdeps/ieee754/dbl-64/atnat2.h: New file. * sysdeps/ieee754/dbl-64/branred.c: New file. * sysdeps/ieee754/dbl-64/branred.h: New file. * sysdeps/ieee754/dbl-64/dla.h: New file. * sysdeps/ieee754/dbl-64/doasin.c: New file. * sysdeps/ieee754/dbl-64/doasin.h: New file. * sysdeps/ieee754/dbl-64/dosincos.c: New file. * sysdeps/ieee754/dbl-64/dosincos.h: New file. * sysdeps/ieee754/dbl-64/endian.h: New file. * sysdeps/ieee754/dbl-64/halfulp.c: New file. * sysdeps/ieee754/dbl-64/mpa.c: New file. * sysdeps/ieee754/dbl-64/mpa.h: New file. * sysdeps/ieee754/dbl-64/mpa2.h: New file. * sysdeps/ieee754/dbl-64/mpatan.c: New file. * sysdeps/ieee754/dbl-64/mpatan.h: New file. * sysdeps/ieee754/dbl-64/mpatan2.c: New file. * sysdeps/ieee754/dbl-64/mpexp.c: New file. * sysdeps/ieee754/dbl-64/mpexp.h: New file. * sysdeps/ieee754/dbl-64/mplog.c: New file. * sysdeps/ieee754/dbl-64/mplog.h: New file. * sysdeps/ieee754/dbl-64/mpsqrt.c: New file. * sysdeps/ieee754/dbl-64/mpsqrt.h: New file. * sysdeps/ieee754/dbl-64/mptan.c: New file. * sysdeps/ieee754/dbl-64/mydefs.h: New file. * sysdeps/ieee754/dbl-64/powtwo.tbl: New file. * sysdeps/ieee754/dbl-64/root.tbl: New file. * sysdeps/ieee754/dbl-64/sincos.tbl: New file. * sysdeps/ieee754/dbl-64/sincos32.c: New file. * sysdeps/ieee754/dbl-64/sincos32.h: New file. * sysdeps/ieee754/dbl-64/slowexp.c: New file. * sysdeps/ieee754/dbl-64/slowpow.c: New file. * sysdeps/ieee754/dbl-64/uasncs.h: New file. * sysdeps/ieee754/dbl-64/uatan.tbl: New file. * sysdeps/ieee754/dbl-64/uexp.h: New file. * sysdeps/ieee754/dbl-64/uexp.tbl: New file. * sysdeps/ieee754/dbl-64/ulog.h: New file. * sysdeps/ieee754/dbl-64/ulog.tbl: New file. * sysdeps/ieee754/dbl-64/upow.h: New file. * sysdeps/ieee754/dbl-64/upow.tbl: New file. * sysdeps/ieee754/dbl-64/urem.h: New file. * sysdeps/ieee754/dbl-64/uroot.h: New file. * sysdeps/ieee754/dbl-64/usncs.h: New file. * sysdeps/ieee754/dbl-64/utan.h: New file. * sysdeps/ieee754/dbl-64/utan.tbl: New file. * sysdeps/i386/fpu/branred.c: New file. * sysdeps/i386/fpu/doasin.c: New file. * sysdeps/i386/fpu/dosincos.c: New file. * sysdeps/i386/fpu/halfulp.c: New file. * sysdeps/i386/fpu/mpa.c: New file. * sysdeps/i386/fpu/mpatan.c: New file. * sysdeps/i386/fpu/mpatan2.c: New file. * sysdeps/i386/fpu/mpexp.c: New file. * sysdeps/i386/fpu/mplog.c: New file. * sysdeps/i386/fpu/mpsqrt.c: New file. * sysdeps/i386/fpu/mptan.c: New file. * sysdeps/i386/fpu/sincos32.c: New file. * sysdeps/i386/fpu/slowexp.c: New file. * sysdeps/i386/fpu/slowpow.c: New file. * sysdeps/ia64/fpu/branred.c: New file. * sysdeps/ia64/fpu/doasin.c: New file. * sysdeps/ia64/fpu/dosincos.c: New file. * sysdeps/ia64/fpu/halfulp.c: New file. * sysdeps/ia64/fpu/mpa.c: New file. * sysdeps/ia64/fpu/mpatan.c: New file. * sysdeps/ia64/fpu/mpatan2.c: New file. * sysdeps/ia64/fpu/mpexp.c: New file. * sysdeps/ia64/fpu/mplog.c: New file. * sysdeps/ia64/fpu/mpsqrt.c: New file. * sysdeps/ia64/fpu/mptan.c: New file. * sysdeps/ia64/fpu/sincos32.c: New file. * sysdeps/ia64/fpu/slowexp.c: New file. * sysdeps/ia64/fpu/slowpow.c: New file. * sysdeps/m68k/fpu/branred.c: New file. * sysdeps/m68k/fpu/doasin.c: New file. * sysdeps/m68k/fpu/dosincos.c: New file. * sysdeps/m68k/fpu/halfulp.c: New file. * sysdeps/m68k/fpu/mpa.c: New file. * sysdeps/m68k/fpu/mpatan.c: New file. * sysdeps/m68k/fpu/mpatan2.c: New file. * sysdeps/m68k/fpu/mpexp.c: New file. * sysdeps/m68k/fpu/mplog.c: New file. * sysdeps/m68k/fpu/mpsqrt.c: New file. * sysdeps/m68k/fpu/mptan.c: New file. * sysdeps/m68k/fpu/sincos32.c: New file. * sysdeps/m68k/fpu/slowexp.c: New file. * sysdeps/m68k/fpu/slowpow.c: New file. * iconvdata/gconv-modules: Add a number of alias, mostly for IBM codepages.
2001-03-12 01:04:52 +01:00
/*
* IBM Accurate Mathematical Library
* Copyright (c) International Business Machines Corp., 2001
*
* This program 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 of the License, or
* (at your option) any later version.
*
* This program 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 General Public License for more details.
*
* You should have received a copy of the GNU Lesser General Public License
* along with this program; if not, write to the Free Software
* Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
*/
/************************************************************************/
/* MODULE_NAME: atnat.h */
/* */
/* */
/* common data and variables definition for BIG or LITTLE ENDIAN */
/************************************************************************/
#ifndef ATNAT_H
#define ATNAT_H
#define M 4
#ifdef BIG_ENDI
static const number
/* polynomial I */
/**/ d3 = {0xbfd55555, 0x55555555, }, /* -0.333... */
/**/ d5 = {0x3fc99999, 0x999997fd, }, /* 0.199... */
/**/ d7 = {0xbfc24924, 0x923f7603, }, /* -0.142... */
/**/ d9 = {0x3fbc71c6, 0xe5129a3b, }, /* 0.111... */
/**/ d11 = {0xbfb74580, 0x22b13c25, }, /* -0.090... */
/**/ d13 = {0x3fb375f0, 0x8b31cbce, }, /* 0.076... */
/* polynomial II */
/**/ f3 = {0xbfd55555, 0x55555555, }, /* -1/3 */
/**/ ff3 = {0xbc755555, 0x55555555, }, /* -1/3-f3 */
/**/ f5 = {0x3fc99999, 0x9999999a, }, /* 1/5 */
/**/ ff5 = {0xbc699999, 0x9999999a, }, /* 1/5-f5 */
/**/ f7 = {0xbfc24924, 0x92492492, }, /* -1/7 */
/**/ ff7 = {0xbc624924, 0x92492492, }, /* -1/7-f7 */
/**/ f9 = {0x3fbc71c7, 0x1c71c71c, }, /* 1/9 */
/**/ ff9 = {0x3c5c71c7, 0x1c71c71c, }, /* 1/9-f9 */
/**/ f11 = {0xbfb745d1, 0x745d1746, }, /* -1/11 */
/**/ f13 = {0x3fb3b13b, 0x13b13b14, }, /* 1/13 */
/**/ f15 = {0xbfb11111, 0x11111111, }, /* -1/15 */
/**/ f17 = {0x3fae1e1e, 0x1e1e1e1e, }, /* 1/17 */
/**/ f19 = {0xbfaaf286, 0xbca1af28, }, /* -1/19 */
/* constants */
/**/ zero = {0x00000000, 0x00000000, }, /* 0 */
/**/ one = {0x3ff00000, 0x00000000, }, /* 1 */
/**/ a = {0x3e4bb67a, 0x00000000, }, /* 1.290e-8 */
/**/ b = {0x3fb00000, 0x00000000, }, /* 1/16 */
/**/ c = {0x3ff00000, 0x00000000, }, /* 1 */
/**/ d = {0x40300000, 0x00000000, }, /* 16 */
/**/ e = {0x43349ff2, 0x00000000, }, /* 5.805e15 */
/**/ hpi = {0x3ff921fb, 0x54442d18, }, /* pi/2 */
/**/ mhpi = {0xbff921fb, 0x54442d18, }, /* -pi/2 */
/**/ hpi1 = {0x3c91a626, 0x33145c07, }, /* pi/2-hpi */
/**/ u1 = {0x3c2d3382, 0x00000000, }, /* 7.915e-19 */
/**/ u21 = {0x3c6dffc0, 0x00000000, }, /* 1.301e-17 */
/**/ u22 = {0x3c527bd0, 0x00000000, }, /* 4.008e-18 */
/**/ u23 = {0x3c3cd057, 0x00000000, }, /* 1.562e-18 */
/**/ u24 = {0x3c329cdf, 0x00000000, }, /* 1.009e-18 */
/**/ u31 = {0x3c3a1edf, 0x00000000, }, /* 1.416e-18 */
/**/ u32 = {0x3c33f0e1, 0x00000000, }, /* 1.081e-18 */
/**/ u4 = {0x3bf955e4, 0x00000000, }, /* 8.584e-20 */
/**/ u5 = {0x3aaef2d1, 0x00000000, }, /* 5e-26 */
/**/ u6 = {0x3a98c56d, 0x00000000, }, /* 2.001e-26 */
/**/ u7 = {0x3a9375de, 0x00000000, }, /* 1.572e-26 */
/**/ u8 = {0x3a6eeb36, 0x00000000, }, /* 3.122e-27 */
/**/ u9[M] ={{0x38c1aa5b, 0x00000000, }, /* 2.658e-35 */
/**/ {0x35c1aa4d, 0x00000000, }, /* 9.443e-50 */
/**/ {0x32c1aa88, 0x00000000, }, /* 3.355e-64 */
/**/ {0x11c1aa56, 0x00000000, }},/* 3.818e-223 */
/**/ two8 = {0x40700000, 0x00000000, }, /* 2**8=256 */
/**/ two52 = {0x43300000, 0x00000000, }; /* 2**52 */
#else
#ifdef LITTLE_ENDI
static const number
/* polynomial I */
/**/ d3 = {0x55555555, 0xbfd55555, }, /* -0.333... */
/**/ d5 = {0x999997fd, 0x3fc99999, }, /* 0.199... */
/**/ d7 = {0x923f7603, 0xbfc24924, }, /* -0.142... */
/**/ d9 = {0xe5129a3b, 0x3fbc71c6, }, /* 0.111... */
/**/ d11 = {0x22b13c25, 0xbfb74580, }, /* -0.090... */
/**/ d13 = {0x8b31cbce, 0x3fb375f0, }, /* 0.076... */
/* polynomial II */
/**/ f3 = {0x55555555, 0xbfd55555, }, /* -1/3 */
/**/ ff3 = {0x55555555, 0xbc755555, }, /* -1/3-f3 */
/**/ f5 = {0x9999999a, 0x3fc99999, }, /* 1/5 */
/**/ ff5 = {0x9999999a, 0xbc699999, }, /* 1/5-f5 */
/**/ f7 = {0x92492492, 0xbfc24924, }, /* -1/7 */
/**/ ff7 = {0x92492492, 0xbc624924, }, /* -1/7-f7 */
/**/ f9 = {0x1c71c71c, 0x3fbc71c7, }, /* 1/9 */
/**/ ff9 = {0x1c71c71c, 0x3c5c71c7, }, /* 1/9-f9 */
/**/ f11 = {0x745d1746, 0xbfb745d1, }, /* -1/11 */
/**/ f13 = {0x13b13b14, 0x3fb3b13b, }, /* 1/13 */
/**/ f15 = {0x11111111, 0xbfb11111, }, /* -1/15 */
/**/ f17 = {0x1e1e1e1e, 0x3fae1e1e, }, /* 1/17 */
/**/ f19 = {0xbca1af28, 0xbfaaf286, }, /* -1/19 */
/* constants */
/**/ zero = {0x00000000, 0x00000000, }, /* 0 */
/**/ one = {0x00000000, 0x3ff00000, }, /* 1 */
/**/ a = {0x00000000, 0x3e4bb67a, }, /* 1.290e-8 */
/**/ b = {0x00000000, 0x3fb00000, }, /* 1/16 */
/**/ c = {0x00000000, 0x3ff00000, }, /* 1 */
/**/ d = {0x00000000, 0x40300000, }, /* 16 */
/**/ e = {0x00000000, 0x43349ff2, }, /* 5.805e15 */
/**/ hpi = {0x54442d18, 0x3ff921fb, }, /* pi/2 */
/**/ mhpi = {0x54442d18, 0xbff921fb, }, /* -pi/2 */
/**/ hpi1 = {0x33145c07, 0x3c91a626, }, /* pi/2-hpi */
/**/ u1 = {0x00000000, 0x3c2d3382, }, /* 7.915e-19 */
/**/ u21 = {0x00000000, 0x3c6dffc0, }, /* 1.301e-17 */
/**/ u22 = {0x00000000, 0x3c527bd0, }, /* 4.008e-18 */
/**/ u23 = {0x00000000, 0x3c3cd057, }, /* 1.562e-18 */
/**/ u24 = {0x00000000, 0x3c329cdf, }, /* 1.009e-18 */
/**/ u31 = {0x00000000, 0x3c3a1edf, }, /* 1.416e-18 */
/**/ u32 = {0x00000000, 0x3c33f0e1, }, /* 1.081e-18 */
/**/ u4 = {0x00000000, 0x3bf955e4, }, /* 8.584e-20 */
/**/ u5 = {0x00000000, 0x3aaef2d1, }, /* 5e-26 */
/**/ u6 = {0x00000000, 0x3a98c56d, }, /* 2.001e-26 */
/**/ u7 = {0x00000000, 0x3a9375de, }, /* 1.572e-26 */
/**/ u8 = {0x00000000, 0x3a6eeb36, }, /* 3.122e-27 */
/**/ u9[M] ={{0x00000000, 0x38c1aa5b, }, /* 2.658e-35 */
/**/ {0x00000000, 0x35c1aa4d, }, /* 9.443e-50 */
/**/ {0x00000000, 0x32c1aa88, }, /* 3.355e-64 */
/**/ {0x00000000, 0x11c1aa56, }},/* 3.818e-223 */
/**/ two8 = {0x00000000, 0x40700000, }, /* 2**8=256 */
/**/ two52 = {0x00000000, 0x43300000, }; /* 2**52 */
#endif
#endif
#define ZERO zero.d
#define ONE one.d
#define A a.d
#define B b.d
#define C c.d
#define D d.d
#define E e.d
#define HPI hpi.d
#define MHPI mhpi.d
#define HPI1 hpi1.d
#define U1 u1.d
#define U21 u21.d
#define U22 u22.d
#define U23 u23.d
#define U24 u24.d
#define U31 u31.d
#define U32 u32.d
#define U4 u4.d
#define U5 u5.d
#define U6 u6.d
#define U7 u7.d
#define U8 u8.d
#define TWO8 two8.d
#define TWO52 two52.d
#endif