/* * IBM Accurate Mathematical Library * Written by International Business Machines Corp. * Copyright (C) 2001-2016 Free Software Foundation, Inc. * * 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 2.1 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 Lesser 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, see . */ /******************************************************************/ /* */ /* 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 */ #if 0 /**/ c1 = {{0x3ff00000, 0x00000000} }, /* 1 */ #endif /**/ 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 */ /**/ 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 */ #if 0 /**/ c1 = {{0x00000000, 0x3ff00000} }, /* 1 */ #endif /**/ 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 */ /**/ 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 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