2001-03-12 01:04:52 +01:00
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/*
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* IBM Accurate Mathematical Library
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2002-08-20 23:51:55 +02:00
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* Written by International Business Machines Corp.
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* Copyright (C) 2001 Free Software Foundation, Inc.
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2001-03-12 01:04:52 +01:00
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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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2002-08-27 00:40:48 +02:00
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* the Free Software Foundation; either version 2.1 of the License, or
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2001-03-12 01:04:52 +01:00
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* (at your option) any later version.
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2001-03-12 08:57:09 +01:00
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*
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2001-03-12 01:04:52 +01:00
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* This program 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
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2002-08-20 23:51:55 +02:00
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* GNU Lesser General Public License for more details.
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2001-03-12 01:04:52 +01:00
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*
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* You should have received a copy of the GNU Lesser General Public License
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* along with this program; if not, write to the Free Software
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2001-03-12 08:57:09 +01:00
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* Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
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2001-03-12 01:04:52 +01:00
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*/
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2002-08-20 23:51:55 +02:00
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2001-03-12 01:04:52 +01:00
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/******************************************************************/
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/* */
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/* MODULE_NAME:ulog.h */
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/* */
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/* common data and variables prototype and definition */
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/******************************************************************/
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#ifndef ULOG_H
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#define ULOG_H
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#ifdef BIG_ENDI
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static const number
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/* polynomial I */
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2001-03-12 08:57:09 +01:00
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/**/ a2 = {{0xbfe00000, 0x0001aa8f} }, /* -0.500... */
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/**/ a3 = {{0x3fd55555, 0x55588d2e} }, /* 0.333... */
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2001-03-12 01:04:52 +01:00
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/* polynomial II */
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2001-03-12 08:57:09 +01:00
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/**/ b0 = {{0x3fd55555, 0x55555555} }, /* 0.333... */
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/**/ b1 = {{0xbfcfffff, 0xffffffbb} }, /* -0.249... */
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/**/ b2 = {{0x3fc99999, 0x9999992f} }, /* 0.199... */
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/**/ b3 = {{0xbfc55555, 0x556503fd} }, /* -0.166... */
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/**/ b4 = {{0x3fc24924, 0x925b3d62} }, /* 0.142... */
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/**/ b5 = {{0xbfbffffe, 0x160472fc} }, /* -0.124... */
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/**/ b6 = {{0x3fbc71c5, 0x25db58ac} }, /* 0.111... */
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/**/ b7 = {{0xbfb9a4ac, 0x11a2a61c} }, /* -0.100... */
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/**/ b8 = {{0x3fb75077, 0x0df2b591} }, /* 0.091... */
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2001-03-12 01:04:52 +01:00
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/* polynomial III */
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2001-03-12 08:57:09 +01:00
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#if 0
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/**/ c1 = {{0x3ff00000, 0x00000000} }, /* 1 */
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#endif
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/**/ c2 = {{0xbfe00000, 0x00000000} }, /* -1/2 */
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/**/ c3 = {{0x3fd55555, 0x55555555} }, /* 1/3 */
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/**/ c4 = {{0xbfd00000, 0x00000000} }, /* -1/4 */
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/**/ c5 = {{0x3fc99999, 0x9999999a} }, /* 1/5 */
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/* polynomial IV */
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/**/ d2 = {{0xbfe00000, 0x00000000} }, /* -1/2 */
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/**/ dd2 = {{0x00000000, 0x00000000} }, /* -1/2-d2 */
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/**/ d3 = {{0x3fd55555, 0x55555555} }, /* 1/3 */
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/**/ dd3 = {{0x3c755555, 0x55555555} }, /* 1/3-d3 */
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/**/ d4 = {{0xbfd00000, 0x00000000} }, /* -1/4 */
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/**/ dd4 = {{0x00000000, 0x00000000} }, /* -1/4-d4 */
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/**/ d5 = {{0x3fc99999, 0x9999999a} }, /* 1/5 */
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/**/ dd5 = {{0xbc699999, 0x9999999a} }, /* 1/5-d5 */
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/**/ d6 = {{0xbfc55555, 0x55555555} }, /* -1/6 */
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/**/ dd6 = {{0xbc655555, 0x55555555} }, /* -1/6-d6 */
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/**/ d7 = {{0x3fc24924, 0x92492492} }, /* 1/7 */
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/**/ dd7 = {{0x3c624924, 0x92492492} }, /* 1/7-d7 */
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/**/ d8 = {{0xbfc00000, 0x00000000} }, /* -1/8 */
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/**/ dd8 = {{0x00000000, 0x00000000} }, /* -1/8-d8 */
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/**/ d9 = {{0x3fbc71c7, 0x1c71c71c} }, /* 1/9 */
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/**/ dd9 = {{0x3c5c71c7, 0x1c71c71c} }, /* 1/9-d9 */
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/**/ d10 = {{0xbfb99999, 0x9999999a} }, /* -1/10 */
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/**/ dd10 = {{0x3c599999, 0x9999999a} }, /* -1/10-d10 */
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/**/ d11 = {{0x3fb745d1, 0x745d1746} }, /* 1/11 */
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/**/ d12 = {{0xbfb55555, 0x55555555} }, /* -1/12 */
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/**/ d13 = {{0x3fb3b13b, 0x13b13b14} }, /* 1/13 */
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/**/ d14 = {{0xbfb24924, 0x92492492} }, /* -1/14 */
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/**/ d15 = {{0x3fb11111, 0x11111111} }, /* 1/15 */
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/**/ d16 = {{0xbfb00000, 0x00000000} }, /* -1/16 */
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/**/ d17 = {{0x3fae1e1e, 0x1e1e1e1e} }, /* 1/17 */
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/**/ d18 = {{0xbfac71c7, 0x1c71c71c} }, /* -1/18 */
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/**/ d19 = {{0x3faaf286, 0xbca1af28} }, /* 1/19 */
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/**/ d20 = {{0xbfa99999, 0x9999999a} }, /* -1/20 */
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/* constants */
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2001-03-12 08:57:09 +01:00
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/**/ zero = {{0x00000000, 0x00000000} }, /* 0 */
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/**/ one = {{0x3ff00000, 0x00000000} }, /* 1 */
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/**/ half = {{0x3fe00000, 0x00000000} }, /* 1/2 */
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/**/ mhalf = {{0xbfe00000, 0x00000000} }, /* -1/2 */
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/**/ sqrt_2 = {{0x3ff6a09e, 0x667f3bcc} }, /* sqrt(2) */
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/**/ h1 = {{0x3fd2e000, 0x00000000} }, /* 151/2**9 */
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/**/ h2 = {{0x3f669000, 0x00000000} }, /* 361/2**17 */
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/**/ delu = {{0x3f700000, 0x00000000} }, /* 1/2**8 */
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/**/ delv = {{0x3ef00000, 0x00000000} }, /* 1/2**16 */
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/**/ ln2a = {{0x3fe62e42, 0xfefa3800} }, /* ln(2) 43 bits */
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/**/ ln2b = {{0x3d2ef357, 0x93c76730} }, /* ln(2)-ln2a */
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/**/ e1 = {{0x3bbcc868, 0x00000000} }, /* 6.095e-21 */
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/**/ e2 = {{0x3c1138ce, 0x00000000} }, /* 2.334e-19 */
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/**/ e3 = {{0x3aa1565d, 0x00000000} }, /* 2.801e-26 */
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/**/ e4 = {{0x39809d88, 0x00000000} }, /* 1.024e-31 */
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/**/ e[M] ={{{0x37da223a, 0x00000000} }, /* 1.2e-39 */
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/**/ {{0x35c851c4, 0x00000000} }, /* 1.3e-49 */
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/**/ {{0x2ab85e51, 0x00000000} }, /* 6.8e-103 */
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/**/ {{0x17383827, 0x00000000} }},/* 8.1e-197 */
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/**/ two54 = {{0x43500000, 0x00000000} }, /* 2**54 */
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/**/ u03 = {{0x3f9eb851, 0xeb851eb8} }; /* 0.03 */
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2001-03-12 01:04:52 +01:00
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#else
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#ifdef LITTLE_ENDI
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static const number
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/* polynomial I */
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2001-03-12 08:57:09 +01:00
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/**/ a2 = {{0x0001aa8f, 0xbfe00000} }, /* -0.500... */
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/**/ a3 = {{0x55588d2e, 0x3fd55555} }, /* 0.333... */
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2001-03-12 01:04:52 +01:00
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/* polynomial II */
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2001-03-12 08:57:09 +01:00
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/**/ b0 = {{0x55555555, 0x3fd55555} }, /* 0.333... */
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/**/ b1 = {{0xffffffbb, 0xbfcfffff} }, /* -0.249... */
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/**/ b2 = {{0x9999992f, 0x3fc99999} }, /* 0.199... */
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/**/ b3 = {{0x556503fd, 0xbfc55555} }, /* -0.166... */
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/**/ b4 = {{0x925b3d62, 0x3fc24924} }, /* 0.142... */
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/**/ b5 = {{0x160472fc, 0xbfbffffe} }, /* -0.124... */
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/**/ b6 = {{0x25db58ac, 0x3fbc71c5} }, /* 0.111... */
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/**/ b7 = {{0x11a2a61c, 0xbfb9a4ac} }, /* -0.100... */
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/**/ b8 = {{0x0df2b591, 0x3fb75077} }, /* 0.091... */
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2001-03-12 01:04:52 +01:00
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/* polynomial III */
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2001-03-12 08:57:09 +01:00
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#if 0
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/**/ c1 = {{0x00000000, 0x3ff00000} }, /* 1 */
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#endif
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/**/ c2 = {{0x00000000, 0xbfe00000} }, /* -1/2 */
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/**/ c3 = {{0x55555555, 0x3fd55555} }, /* 1/3 */
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/**/ c4 = {{0x00000000, 0xbfd00000} }, /* -1/4 */
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/**/ c5 = {{0x9999999a, 0x3fc99999} }, /* 1/5 */
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/* polynomial IV */
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/**/ d2 = {{0x00000000, 0xbfe00000} }, /* -1/2 */
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/**/ dd2 = {{0x00000000, 0x00000000} }, /* -1/2-d2 */
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/**/ d3 = {{0x55555555, 0x3fd55555} }, /* 1/3 */
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/**/ dd3 = {{0x55555555, 0x3c755555} }, /* 1/3-d3 */
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/**/ d4 = {{0x00000000, 0xbfd00000} }, /* -1/4 */
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/**/ dd4 = {{0x00000000, 0x00000000} }, /* -1/4-d4 */
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/**/ d5 = {{0x9999999a, 0x3fc99999} }, /* 1/5 */
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/**/ dd5 = {{0x9999999a, 0xbc699999} }, /* 1/5-d5 */
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/**/ d6 = {{0x55555555, 0xbfc55555} }, /* -1/6 */
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/**/ dd6 = {{0x55555555, 0xbc655555} }, /* -1/6-d6 */
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/**/ d7 = {{0x92492492, 0x3fc24924} }, /* 1/7 */
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/**/ dd7 = {{0x92492492, 0x3c624924} }, /* 1/7-d7 */
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/**/ d8 = {{0x00000000, 0xbfc00000} }, /* -1/8 */
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/**/ dd8 = {{0x00000000, 0x00000000} }, /* -1/8-d8 */
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/**/ d9 = {{0x1c71c71c, 0x3fbc71c7} }, /* 1/9 */
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/**/ dd9 = {{0x1c71c71c, 0x3c5c71c7} }, /* 1/9-d9 */
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/**/ d10 = {{0x9999999a, 0xbfb99999} }, /* -1/10 */
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/**/ dd10 = {{0x9999999a, 0x3c599999} }, /* -1/10-d10 */
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/**/ d11 = {{0x745d1746, 0x3fb745d1} }, /* 1/11 */
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/**/ d12 = {{0x55555555, 0xbfb55555} }, /* -1/12 */
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/**/ d13 = {{0x13b13b14, 0x3fb3b13b} }, /* 1/13 */
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/**/ d14 = {{0x92492492, 0xbfb24924} }, /* -1/14 */
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/**/ d15 = {{0x11111111, 0x3fb11111} }, /* 1/15 */
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/**/ d16 = {{0x00000000, 0xbfb00000} }, /* -1/16 */
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/**/ d17 = {{0x1e1e1e1e, 0x3fae1e1e} }, /* 1/17 */
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/**/ d18 = {{0x1c71c71c, 0xbfac71c7} }, /* -1/18 */
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/**/ d19 = {{0xbca1af28, 0x3faaf286} }, /* 1/19 */
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/**/ d20 = {{0x9999999a, 0xbfa99999} }, /* -1/20 */
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/* constants */
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2001-03-12 08:57:09 +01:00
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/**/ zero = {{0x00000000, 0x00000000} }, /* 0 */
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/**/ one = {{0x00000000, 0x3ff00000} }, /* 1 */
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/**/ half = {{0x00000000, 0x3fe00000} }, /* 1/2 */
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/**/ mhalf = {{0x00000000, 0xbfe00000} }, /* -1/2 */
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/**/ sqrt_2 = {{0x667f3bcc, 0x3ff6a09e} }, /* sqrt(2) */
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/**/ h1 = {{0x00000000, 0x3fd2e000} }, /* 151/2**9 */
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/**/ h2 = {{0x00000000, 0x3f669000} }, /* 361/2**17 */
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/**/ delu = {{0x00000000, 0x3f700000} }, /* 1/2**8 */
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/**/ delv = {{0x00000000, 0x3ef00000} }, /* 1/2**16 */
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/**/ ln2a = {{0xfefa3800, 0x3fe62e42} }, /* ln(2) 43 bits */
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/**/ ln2b = {{0x93c76730, 0x3d2ef357} }, /* ln(2)-ln2a */
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/**/ e1 = {{0x00000000, 0x3bbcc868} }, /* 6.095e-21 */
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/**/ e2 = {{0x00000000, 0x3c1138ce} }, /* 2.334e-19 */
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/**/ e3 = {{0x00000000, 0x3aa1565d} }, /* 2.801e-26 */
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/**/ e4 = {{0x00000000, 0x39809d88} }, /* 1.024e-31 */
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/**/ e[M] ={{{0x00000000, 0x37da223a} }, /* 1.2e-39 */
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/**/ {{0x00000000, 0x35c851c4} }, /* 1.3e-49 */
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/**/ {{0x00000000, 0x2ab85e51} }, /* 6.8e-103 */
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/**/ {{0x00000000, 0x17383827} }},/* 8.1e-197 */
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/**/ two54 = {{0x00000000, 0x43500000} }, /* 2**54 */
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/**/ u03 = {{0xeb851eb8, 0x3f9eb851} }; /* 0.03 */
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2001-03-12 01:04:52 +01:00
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#endif
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#endif
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#define ZERO zero.d
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#define ONE one.d
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#define HALF half.d
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#define MHALF mhalf.d
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#define SQRT_2 sqrt_2.d
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#define DEL_U delu.d
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#define DEL_V delv.d
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#define LN2A ln2a.d
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#define LN2B ln2b.d
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#define E1 e1.d
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#define E2 e2.d
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#define E3 e3.d
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#define E4 e4.d
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#define U03 u03.d
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#endif
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