/* * IBM Accurate Mathematical Library * Written by International Business Machines Corp. * Copyright (C) 2001-2012 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: 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 */ /**/ 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 */ #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 */ /**/ 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 */ #endif #endif #define ZERO 0.0 #define ONE 1.0 #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 0x1.0p8 /* 2^8 */ #define TWO52 0x1.0p52 /* 2^52 */ #endif