From e4d8276142b9c07b23043ef44b0fe8fa7bcc3121 Mon Sep 17 00:00:00 2001 From: Ulrich Drepper Date: Mon, 12 Mar 2001 00:04:52 +0000 Subject: Update. 2001-03-11 Ulrich Drepper Last-bit accurate math library implementation by IBM Haifa. Contributed by Abraham Ziv , Moshe Olshansky , Ealan Henis , and Anna Reitman . * 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. --- sysdeps/ieee754/dbl-64/ulog.h | 195 ++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 195 insertions(+) create mode 100644 sysdeps/ieee754/dbl-64/ulog.h (limited to 'sysdeps/ieee754/dbl-64/ulog.h') diff --git a/sysdeps/ieee754/dbl-64/ulog.h b/sysdeps/ieee754/dbl-64/ulog.h new file mode 100644 index 0000000000..8710c1f8f2 --- /dev/null +++ b/sysdeps/ieee754/dbl-64/ulog.h @@ -0,0 +1,195 @@ + +/* + * 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:ulog.h */ +/* */ +/* common data and variables prototype and definition */ +/******************************************************************/ + +#ifndef ULOG_H +#define ULOG_H + +#ifdef BIG_ENDI + static const number + /* polynomial I */ +/**/ a2 = {0xbfe00000, 0x0001aa8f, }, /* -0.500... */ +/**/ a3 = {0x3fd55555, 0x55588d2e, }, /* 0.333... */ + /* polynomial II */ +/**/ b0 = {0x3fd55555, 0x55555555, }, /* 0.333... */ +/**/ b1 = {0xbfcfffff, 0xffffffbb, }, /* -0.249... */ +/**/ b2 = {0x3fc99999, 0x9999992f, }, /* 0.199... */ +/**/ b3 = {0xbfc55555, 0x556503fd, }, /* -0.166... */ +/**/ b4 = {0x3fc24924, 0x925b3d62, }, /* 0.142... */ +/**/ b5 = {0xbfbffffe, 0x160472fc, }, /* -0.124... */ +/**/ b6 = {0x3fbc71c5, 0x25db58ac, }, /* 0.111... */ +/**/ b7 = {0xbfb9a4ac, 0x11a2a61c, }, /* -0.100... */ +/**/ b8 = {0x3fb75077, 0x0df2b591, }, /* 0.091... */ + /* polynomial III */ +/**/ c1 = {0x3ff00000, 0x00000000, }, /* 1 */ +/**/ c2 = {0xbfe00000, 0x00000000, }, /* -1/2 */ +/**/ c3 = {0x3fd55555, 0x55555555, }, /* 1/3 */ +/**/ c4 = {0xbfd00000, 0x00000000, }, /* -1/4 */ +/**/ c5 = {0x3fc99999, 0x9999999a, }, /* 1/5 */ + /* polynomial IV */ +/**/ d2 = {0xbfe00000, 0x00000000, }, /* -1/2 */ +/**/ dd2 = {0x00000000, 0x00000000, }, /* -1/2-d2 */ +/**/ d3 = {0x3fd55555, 0x55555555, }, /* 1/3 */ +/**/ dd3 = {0x3c755555, 0x55555555, }, /* 1/3-d3 */ +/**/ d4 = {0xbfd00000, 0x00000000, }, /* -1/4 */ +/**/ dd4 = {0x00000000, 0x00000000, }, /* -1/4-d4 */ +/**/ d5 = {0x3fc99999, 0x9999999a, }, /* 1/5 */ +/**/ dd5 = {0xbc699999, 0x9999999a, }, /* 1/5-d5 */ +/**/ d6 = {0xbfc55555, 0x55555555, }, /* -1/6 */ +/**/ dd6 = {0xbc655555, 0x55555555, }, /* -1/6-d6 */ +/**/ d7 = {0x3fc24924, 0x92492492, }, /* 1/7 */ +/**/ dd7 = {0x3c624924, 0x92492492, }, /* 1/7-d7 */ +/**/ d8 = {0xbfc00000, 0x00000000, }, /* -1/8 */ +/**/ dd8 = {0x00000000, 0x00000000, }, /* -1/8-d8 */ +/**/ d9 = {0x3fbc71c7, 0x1c71c71c, }, /* 1/9 */ +/**/ dd9 = {0x3c5c71c7, 0x1c71c71c, }, /* 1/9-d9 */ +/**/ d10 = {0xbfb99999, 0x9999999a, }, /* -1/10 */ +/**/ dd10 = {0x3c599999, 0x9999999a, }, /* -1/10-d10 */ +/**/ d11 = {0x3fb745d1, 0x745d1746, }, /* 1/11 */ +/**/ d12 = {0xbfb55555, 0x55555555, }, /* -1/12 */ +/**/ d13 = {0x3fb3b13b, 0x13b13b14, }, /* 1/13 */ +/**/ d14 = {0xbfb24924, 0x92492492, }, /* -1/14 */ +/**/ d15 = {0x3fb11111, 0x11111111, }, /* 1/15 */ +/**/ d16 = {0xbfb00000, 0x00000000, }, /* -1/16 */ +/**/ d17 = {0x3fae1e1e, 0x1e1e1e1e, }, /* 1/17 */ +/**/ d18 = {0xbfac71c7, 0x1c71c71c, }, /* -1/18 */ +/**/ d19 = {0x3faaf286, 0xbca1af28, }, /* 1/19 */ +/**/ d20 = {0xbfa99999, 0x9999999a, }, /* -1/20 */ + /* constants */ +/**/ zero = {0x00000000, 0x00000000, }, /* 0 */ +/**/ one = {0x3ff00000, 0x00000000, }, /* 1 */ +/**/ half = {0x3fe00000, 0x00000000, }, /* 1/2 */ +/**/ mhalf = {0xbfe00000, 0x00000000, }, /* -1/2 */ +/**/ sqrt_2 = {0x3ff6a09e, 0x667f3bcc, }, /* sqrt(2) */ +/**/ h1 = {0x3fd2e000, 0x00000000, }, /* 151/2**9 */ +/**/ h2 = {0x3f669000, 0x00000000, }, /* 361/2**17 */ +/**/ delu = {0x3f700000, 0x00000000, }, /* 1/2**8 */ +/**/ delv = {0x3ef00000, 0x00000000, }, /* 1/2**16 */ +/**/ ln2a = {0x3fe62e42, 0xfefa3800, }, /* ln(2) 43 bits */ +/**/ ln2b = {0x3d2ef357, 0x93c76730, }, /* ln(2)-ln2a */ +/**/ e1 = {0x3bbcc868, 0x00000000, }, /* 6.095e-21 */ +/**/ e2 = {0x3c1138ce, 0x00000000, }, /* 2.334e-19 */ +/**/ e3 = {0x3aa1565d, 0x00000000, }, /* 2.801e-26 */ +/**/ e4 = {0x39809d88, 0x00000000, }, /* 1.024e-31 */ +/**/ e[M] ={{0x37da223a, 0x00000000, }, /* 1.2e-39 */ +/**/ {0x35c851c4, 0x00000000, }, /* 1.3e-49 */ +/**/ {0x2ab85e51, 0x00000000, }, /* 6.8e-103 */ +/**/ {0x17383827, 0x00000000, }},/* 8.1e-197 */ +/**/ two54 = {0x43500000, 0x00000000, }, /* 2**54 */ +/**/ u03 = {0x3f9eb851, 0xeb851eb8, }; /* 0.03 */ + +#else +#ifdef LITTLE_ENDI + static const number + /* polynomial I */ +/**/ a2 = {0x0001aa8f, 0xbfe00000, }, /* -0.500... */ +/**/ a3 = {0x55588d2e, 0x3fd55555, }, /* 0.333... */ + /* polynomial II */ +/**/ b0 = {0x55555555, 0x3fd55555, }, /* 0.333... */ +/**/ b1 = {0xffffffbb, 0xbfcfffff, }, /* -0.249... */ +/**/ b2 = {0x9999992f, 0x3fc99999, }, /* 0.199... */ +/**/ b3 = {0x556503fd, 0xbfc55555, }, /* -0.166... */ +/**/ b4 = {0x925b3d62, 0x3fc24924, }, /* 0.142... */ +/**/ b5 = {0x160472fc, 0xbfbffffe, }, /* -0.124... */ +/**/ b6 = {0x25db58ac, 0x3fbc71c5, }, /* 0.111... */ +/**/ b7 = {0x11a2a61c, 0xbfb9a4ac, }, /* -0.100... */ +/**/ b8 = {0x0df2b591, 0x3fb75077, }, /* 0.091... */ + /* polynomial III */ +/**/ c1 = {0x00000000, 0x3ff00000, }, /* 1 */ +/**/ c2 = {0x00000000, 0xbfe00000, }, /* -1/2 */ +/**/ c3 = {0x55555555, 0x3fd55555, }, /* 1/3 */ +/**/ c4 = {0x00000000, 0xbfd00000, }, /* -1/4 */ +/**/ c5 = {0x9999999a, 0x3fc99999, }, /* 1/5 */ + /* polynomial IV */ +/**/ d2 = {0x00000000, 0xbfe00000, }, /* -1/2 */ +/**/ dd2 = {0x00000000, 0x00000000, }, /* -1/2-d2 */ +/**/ d3 = {0x55555555, 0x3fd55555, }, /* 1/3 */ +/**/ dd3 = {0x55555555, 0x3c755555, }, /* 1/3-d3 */ +/**/ d4 = {0x00000000, 0xbfd00000, }, /* -1/4 */ +/**/ dd4 = {0x00000000, 0x00000000, }, /* -1/4-d4 */ +/**/ d5 = {0x9999999a, 0x3fc99999, }, /* 1/5 */ +/**/ dd5 = {0x9999999a, 0xbc699999, }, /* 1/5-d5 */ +/**/ d6 = {0x55555555, 0xbfc55555, }, /* -1/6 */ +/**/ dd6 = {0x55555555, 0xbc655555, }, /* -1/6-d6 */ +/**/ d7 = {0x92492492, 0x3fc24924, }, /* 1/7 */ +/**/ dd7 = {0x92492492, 0x3c624924, }, /* 1/7-d7 */ +/**/ d8 = {0x00000000, 0xbfc00000, }, /* -1/8 */ +/**/ dd8 = {0x00000000, 0x00000000, }, /* -1/8-d8 */ +/**/ d9 = {0x1c71c71c, 0x3fbc71c7, }, /* 1/9 */ +/**/ dd9 = {0x1c71c71c, 0x3c5c71c7, }, /* 1/9-d9 */ +/**/ d10 = {0x9999999a, 0xbfb99999, }, /* -1/10 */ +/**/ dd10 = {0x9999999a, 0x3c599999, }, /* -1/10-d10 */ +/**/ d11 = {0x745d1746, 0x3fb745d1, }, /* 1/11 */ +/**/ d12 = {0x55555555, 0xbfb55555, }, /* -1/12 */ +/**/ d13 = {0x13b13b14, 0x3fb3b13b, }, /* 1/13 */ +/**/ d14 = {0x92492492, 0xbfb24924, }, /* -1/14 */ +/**/ d15 = {0x11111111, 0x3fb11111, }, /* 1/15 */ +/**/ d16 = {0x00000000, 0xbfb00000, }, /* -1/16 */ +/**/ d17 = {0x1e1e1e1e, 0x3fae1e1e, }, /* 1/17 */ +/**/ d18 = {0x1c71c71c, 0xbfac71c7, }, /* -1/18 */ +/**/ d19 = {0xbca1af28, 0x3faaf286, }, /* 1/19 */ +/**/ d20 = {0x9999999a, 0xbfa99999, }, /* -1/20 */ + /* constants */ +/**/ zero = {0x00000000, 0x00000000, }, /* 0 */ +/**/ one = {0x00000000, 0x3ff00000, }, /* 1 */ +/**/ half = {0x00000000, 0x3fe00000, }, /* 1/2 */ +/**/ mhalf = {0x00000000, 0xbfe00000, }, /* -1/2 */ +/**/ sqrt_2 = {0x667f3bcc, 0x3ff6a09e, }, /* sqrt(2) */ +/**/ h1 = {0x00000000, 0x3fd2e000, }, /* 151/2**9 */ +/**/ h2 = {0x00000000, 0x3f669000, }, /* 361/2**17 */ +/**/ delu = {0x00000000, 0x3f700000, }, /* 1/2**8 */ +/**/ delv = {0x00000000, 0x3ef00000, }, /* 1/2**16 */ +/**/ ln2a = {0xfefa3800, 0x3fe62e42, }, /* ln(2) 43 bits */ +/**/ ln2b = {0x93c76730, 0x3d2ef357, }, /* ln(2)-ln2a */ +/**/ e1 = {0x00000000, 0x3bbcc868, }, /* 6.095e-21 */ +/**/ e2 = {0x00000000, 0x3c1138ce, }, /* 2.334e-19 */ +/**/ e3 = {0x00000000, 0x3aa1565d, }, /* 2.801e-26 */ +/**/ e4 = {0x00000000, 0x39809d88, }, /* 1.024e-31 */ +/**/ e[M] ={{0x00000000, 0x37da223a, }, /* 1.2e-39 */ +/**/ {0x00000000, 0x35c851c4, }, /* 1.3e-49 */ +/**/ {0x00000000, 0x2ab85e51, }, /* 6.8e-103 */ +/**/ {0x00000000, 0x17383827, }},/* 8.1e-197 */ +/**/ two54 = {0x00000000, 0x43500000, }, /* 2**54 */ +/**/ u03 = {0xeb851eb8, 0x3f9eb851, }; /* 0.03 */ + +#endif +#endif + +#define ZERO zero.d +#define ONE one.d +#define HALF half.d +#define MHALF mhalf.d +#define SQRT_2 sqrt_2.d +#define DEL_U delu.d +#define DEL_V delv.d +#define LN2A ln2a.d +#define LN2B ln2b.d +#define E1 e1.d +#define E2 e2.d +#define E3 e3.d +#define E4 e4.d +#define U03 u03.d + +#endif -- cgit v1.2.3