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glibc  2.9
ulog.h
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00001 /*
00002  * IBM Accurate Mathematical Library
00003  * Written by International Business Machines Corp.
00004  * Copyright (C) 2001 Free Software Foundation, Inc.
00005  *
00006  * This program is free software; you can redistribute it and/or modify
00007  * it under the terms of the GNU Lesser General Public License as published by
00008  * the Free Software Foundation; either version 2.1 of the License, or
00009  * (at your option) any later version.
00010  *
00011  * This program is distributed in the hope that it will be useful,
00012  * but WITHOUT ANY WARRANTY; without even the implied warranty of
00013  * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
00014  * GNU Lesser General Public License for more details.
00015  *
00016  * You should have received a copy of the GNU Lesser General Public License
00017  * along with this program; if not, write to the Free Software
00018  * Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
00019  */
00020 
00021 /******************************************************************/
00022 /*                                                                */
00023 /* MODULE_NAME:ulog.h                                             */
00024 /*                                                                */
00025 /* common data and variables prototype and definition             */
00026 /******************************************************************/
00027 
00028 #ifndef ULOG_H
00029 #define ULOG_H
00030 
00031 #ifdef BIG_ENDI
00032   static const number
00033   /* polynomial I */
00034  a2             = {{0xbfe00000, 0x0001aa8f} }, /* -0.500... */
00035  a3             = {{0x3fd55555, 0x55588d2e} }, /*  0.333... */
00036   /* polynomial II */
00037  b0             = {{0x3fd55555, 0x55555555} }, /*  0.333... */
00038  b1             = {{0xbfcfffff, 0xffffffbb} }, /* -0.249... */
00039  b2             = {{0x3fc99999, 0x9999992f} }, /*  0.199... */
00040  b3             = {{0xbfc55555, 0x556503fd} }, /* -0.166... */
00041  b4             = {{0x3fc24924, 0x925b3d62} }, /*  0.142... */
00042  b5             = {{0xbfbffffe, 0x160472fc} }, /* -0.124... */
00043  b6             = {{0x3fbc71c5, 0x25db58ac} }, /*  0.111... */
00044  b7             = {{0xbfb9a4ac, 0x11a2a61c} }, /* -0.100... */
00045  b8             = {{0x3fb75077, 0x0df2b591} }, /*  0.091... */
00046   /* polynomial III */
00047 #if 0
00048  c1             = {{0x3ff00000, 0x00000000} }, /*  1        */
00049 #endif
00050  c2             = {{0xbfe00000, 0x00000000} }, /* -1/2      */
00051  c3             = {{0x3fd55555, 0x55555555} }, /*  1/3      */
00052  c4             = {{0xbfd00000, 0x00000000} }, /* -1/4      */
00053  c5             = {{0x3fc99999, 0x9999999a} }, /*  1/5      */
00054   /* polynomial IV */
00055  d2             = {{0xbfe00000, 0x00000000} }, /* -1/2      */
00056  dd2            = {{0x00000000, 0x00000000} }, /* -1/2-d2   */
00057  d3             = {{0x3fd55555, 0x55555555} }, /*  1/3      */
00058  dd3            = {{0x3c755555, 0x55555555} }, /*  1/3-d3   */
00059  d4             = {{0xbfd00000, 0x00000000} }, /* -1/4      */
00060  dd4            = {{0x00000000, 0x00000000} }, /* -1/4-d4   */
00061  d5             = {{0x3fc99999, 0x9999999a} }, /*  1/5      */
00062  dd5            = {{0xbc699999, 0x9999999a} }, /*  1/5-d5   */
00063  d6             = {{0xbfc55555, 0x55555555} }, /* -1/6      */
00064  dd6            = {{0xbc655555, 0x55555555} }, /* -1/6-d6   */
00065  d7             = {{0x3fc24924, 0x92492492} }, /*  1/7      */
00066  dd7            = {{0x3c624924, 0x92492492} }, /*  1/7-d7   */
00067  d8             = {{0xbfc00000, 0x00000000} }, /* -1/8      */
00068  dd8            = {{0x00000000, 0x00000000} }, /* -1/8-d8   */
00069  d9             = {{0x3fbc71c7, 0x1c71c71c} }, /*  1/9      */
00070  dd9            = {{0x3c5c71c7, 0x1c71c71c} }, /*  1/9-d9   */
00071  d10            = {{0xbfb99999, 0x9999999a} }, /* -1/10     */
00072  dd10           = {{0x3c599999, 0x9999999a} }, /* -1/10-d10 */
00073  d11            = {{0x3fb745d1, 0x745d1746} }, /*  1/11     */
00074  d12            = {{0xbfb55555, 0x55555555} }, /* -1/12     */
00075  d13            = {{0x3fb3b13b, 0x13b13b14} }, /*  1/13     */
00076  d14            = {{0xbfb24924, 0x92492492} }, /* -1/14     */
00077  d15            = {{0x3fb11111, 0x11111111} }, /*  1/15     */
00078  d16            = {{0xbfb00000, 0x00000000} }, /* -1/16     */
00079  d17            = {{0x3fae1e1e, 0x1e1e1e1e} }, /*  1/17     */
00080  d18            = {{0xbfac71c7, 0x1c71c71c} }, /* -1/18     */
00081  d19            = {{0x3faaf286, 0xbca1af28} }, /*  1/19     */
00082  d20            = {{0xbfa99999, 0x9999999a} }, /* -1/20     */
00083   /* constants    */
00084  zero           = {{0x00000000, 0x00000000} }, /* 0         */
00085  one            = {{0x3ff00000, 0x00000000} }, /* 1         */
00086  half           = {{0x3fe00000, 0x00000000} }, /* 1/2       */
00087  mhalf          = {{0xbfe00000, 0x00000000} }, /* -1/2      */
00088  sqrt_2         = {{0x3ff6a09e, 0x667f3bcc} }, /* sqrt(2)   */
00089  h1             = {{0x3fd2e000, 0x00000000} }, /* 151/2**9  */
00090  h2             = {{0x3f669000, 0x00000000} }, /* 361/2**17 */
00091  delu           = {{0x3f700000, 0x00000000} }, /* 1/2**8    */
00092  delv           = {{0x3ef00000, 0x00000000} }, /* 1/2**16   */
00093  ln2a           = {{0x3fe62e42, 0xfefa3800} }, /* ln(2) 43 bits */
00094  ln2b           = {{0x3d2ef357, 0x93c76730} }, /* ln(2)-ln2a    */
00095  e1             = {{0x3bbcc868, 0x00000000} }, /* 6.095e-21     */
00096  e2             = {{0x3c1138ce, 0x00000000} }, /* 2.334e-19     */
00097  e3             = {{0x3aa1565d, 0x00000000} }, /* 2.801e-26     */
00098  e4             = {{0x39809d88, 0x00000000} }, /* 1.024e-31     */
00099  e[M]           ={{{0x37da223a, 0x00000000} }, /* 1.2e-39       */
00100                   {{0x35c851c4, 0x00000000} }, /* 1.3e-49       */
00101                   {{0x2ab85e51, 0x00000000} }, /* 6.8e-103      */
00102                   {{0x17383827, 0x00000000} }},/* 8.1e-197      */
00103  two54          = {{0x43500000, 0x00000000} }, /* 2**54         */
00104  u03            = {{0x3f9eb851, 0xeb851eb8} }; /* 0.03          */
00105 
00106 #else
00107 #ifdef LITTLE_ENDI
00108   static const number
00109   /* polynomial I */
00110  a2             = {{0x0001aa8f, 0xbfe00000} }, /* -0.500... */
00111  a3             = {{0x55588d2e, 0x3fd55555} }, /*  0.333... */
00112   /* polynomial II */
00113  b0             = {{0x55555555, 0x3fd55555} }, /*  0.333... */
00114  b1             = {{0xffffffbb, 0xbfcfffff} }, /* -0.249... */
00115  b2             = {{0x9999992f, 0x3fc99999} }, /*  0.199... */
00116  b3             = {{0x556503fd, 0xbfc55555} }, /* -0.166... */
00117  b4             = {{0x925b3d62, 0x3fc24924} }, /*  0.142... */
00118  b5             = {{0x160472fc, 0xbfbffffe} }, /* -0.124... */
00119  b6             = {{0x25db58ac, 0x3fbc71c5} }, /*  0.111... */
00120  b7             = {{0x11a2a61c, 0xbfb9a4ac} }, /* -0.100... */
00121  b8             = {{0x0df2b591, 0x3fb75077} }, /*  0.091... */
00122   /* polynomial III */
00123 #if 0
00124  c1             = {{0x00000000, 0x3ff00000} }, /*  1        */
00125 #endif
00126  c2             = {{0x00000000, 0xbfe00000} }, /* -1/2      */
00127  c3             = {{0x55555555, 0x3fd55555} }, /*  1/3      */
00128  c4             = {{0x00000000, 0xbfd00000} }, /* -1/4      */
00129  c5             = {{0x9999999a, 0x3fc99999} }, /*  1/5      */
00130   /* polynomial IV */
00131  d2             = {{0x00000000, 0xbfe00000} }, /* -1/2      */
00132  dd2            = {{0x00000000, 0x00000000} }, /* -1/2-d2   */
00133  d3             = {{0x55555555, 0x3fd55555} }, /*  1/3      */
00134  dd3            = {{0x55555555, 0x3c755555} }, /*  1/3-d3   */
00135  d4             = {{0x00000000, 0xbfd00000} }, /* -1/4      */
00136  dd4            = {{0x00000000, 0x00000000} }, /* -1/4-d4   */
00137  d5             = {{0x9999999a, 0x3fc99999} }, /*  1/5      */
00138  dd5            = {{0x9999999a, 0xbc699999} }, /*  1/5-d5   */
00139  d6             = {{0x55555555, 0xbfc55555} }, /* -1/6      */
00140  dd6            = {{0x55555555, 0xbc655555} }, /* -1/6-d6   */
00141  d7             = {{0x92492492, 0x3fc24924} }, /*  1/7      */
00142  dd7            = {{0x92492492, 0x3c624924} }, /*  1/7-d7   */
00143  d8             = {{0x00000000, 0xbfc00000} }, /* -1/8      */
00144  dd8            = {{0x00000000, 0x00000000} }, /* -1/8-d8   */
00145  d9             = {{0x1c71c71c, 0x3fbc71c7} }, /*  1/9      */
00146  dd9            = {{0x1c71c71c, 0x3c5c71c7} }, /*  1/9-d9   */
00147  d10            = {{0x9999999a, 0xbfb99999} }, /* -1/10     */
00148  dd10           = {{0x9999999a, 0x3c599999} }, /* -1/10-d10 */
00149  d11            = {{0x745d1746, 0x3fb745d1} }, /*  1/11     */
00150  d12            = {{0x55555555, 0xbfb55555} }, /* -1/12     */
00151  d13            = {{0x13b13b14, 0x3fb3b13b} }, /*  1/13     */
00152  d14            = {{0x92492492, 0xbfb24924} }, /* -1/14     */
00153  d15            = {{0x11111111, 0x3fb11111} }, /*  1/15     */
00154  d16            = {{0x00000000, 0xbfb00000} }, /* -1/16     */
00155  d17            = {{0x1e1e1e1e, 0x3fae1e1e} }, /*  1/17     */
00156  d18            = {{0x1c71c71c, 0xbfac71c7} }, /* -1/18     */
00157  d19            = {{0xbca1af28, 0x3faaf286} }, /*  1/19     */
00158  d20            = {{0x9999999a, 0xbfa99999} }, /* -1/20     */
00159   /* constants    */
00160  zero           = {{0x00000000, 0x00000000} }, /* 0         */
00161  one            = {{0x00000000, 0x3ff00000} }, /* 1         */
00162  half           = {{0x00000000, 0x3fe00000} }, /* 1/2       */
00163  mhalf          = {{0x00000000, 0xbfe00000} }, /* -1/2      */
00164  sqrt_2         = {{0x667f3bcc, 0x3ff6a09e} }, /* sqrt(2)   */
00165  h1             = {{0x00000000, 0x3fd2e000} }, /* 151/2**9  */
00166  h2             = {{0x00000000, 0x3f669000} }, /* 361/2**17 */
00167  delu           = {{0x00000000, 0x3f700000} }, /* 1/2**8    */
00168  delv           = {{0x00000000, 0x3ef00000} }, /* 1/2**16   */
00169  ln2a           = {{0xfefa3800, 0x3fe62e42} }, /* ln(2) 43 bits */
00170  ln2b           = {{0x93c76730, 0x3d2ef357} }, /* ln(2)-ln2a    */
00171  e1             = {{0x00000000, 0x3bbcc868} }, /* 6.095e-21     */
00172  e2             = {{0x00000000, 0x3c1138ce} }, /* 2.334e-19     */
00173  e3             = {{0x00000000, 0x3aa1565d} }, /* 2.801e-26     */
00174  e4             = {{0x00000000, 0x39809d88} }, /* 1.024e-31     */
00175  e[M]           ={{{0x00000000, 0x37da223a} }, /* 1.2e-39       */
00176                   {{0x00000000, 0x35c851c4} }, /* 1.3e-49       */
00177                   {{0x00000000, 0x2ab85e51} }, /* 6.8e-103      */
00178                   {{0x00000000, 0x17383827} }},/* 8.1e-197      */
00179  two54          = {{0x00000000, 0x43500000} }, /* 2**54         */
00180  u03            = {{0xeb851eb8, 0x3f9eb851} }; /* 0.03          */
00181 
00182 #endif
00183 #endif
00184 
00185 #define  ZERO      zero.d
00186 #define  ONE       one.d
00187 #define  HALF      half.d
00188 #define  MHALF     mhalf.d
00189 #define  SQRT_2    sqrt_2.d
00190 #define  DEL_U     delu.d
00191 #define  DEL_V     delv.d
00192 #define  LN2A      ln2a.d
00193 #define  LN2B      ln2b.d
00194 #define  E1        e1.d
00195 #define  E2        e2.d
00196 #define  E3        e3.d
00197 #define  E4        e4.d
00198 #define  U03       u03.d
00199 
00200 #endif