libgcc-math/dbl-64/utan.h

   1 /*
   2  * IBM Accurate Mathematical Library
   3  * Written by International Business Machines Corp.
   4  * Copyright (C) 2001 Free Software Foundation, Inc.
   5  *
   6  * This program is free software; you can redistribute it and/or modify
   7  * it under the terms of the GNU Lesser General Public License as published by
   8  * the Free Software Foundation; either version 2.1 of the License, or
   9  * (at your option) any later version.
  10  *
  11  * This program is distributed in the hope that it will be useful,
  12  * but WITHOUT ANY WARRANTY; without even the implied warranty of
  13  * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
  14  * GNU Lesser General Public License for more details.
  15  *
  16  * You should have received a copy of the GNU Lesser General Public License
  17  * along with this program; if not, write to the Free Software
  18  * Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
  19  */
  20
  21 /******************************************************************/
  22 /*                                                                */
  23 /* MODULE_NAME:utan.h                                             */
  24 /*                                                                */
  25 /* common data and variables prototype and definition             */
  26 /******************************************************************/
  27
  28 #ifndef UTAN_H
  29 #define UTAN_H
  30
  31 #ifdef BIG_ENDI
  32   static const number
  33   /* polynomial I */
  34 /**/ d3             = {{0x3FD55555, 0x55555555} }, /*  0.333... */
  35 /**/ d5             = {{0x3FC11111, 0x111107C6} }, /*  0.133... */
  36 /**/ d7             = {{0x3FABA1BA, 0x1CDB8745} }, /*    .      */
  37 /**/ d9             = {{0x3F9664ED, 0x49CFC666} }, /*    .      */
  38 /**/ d11            = {{0x3F82385A, 0x3CF2E4EA} }, /*    .      */
  39   /* polynomial II */
  40 /**/ a3             = {{0x3fd55555, 0x55555555} }, /*  1/3      */
  41 /**/ aa3            = {{0x3c755555, 0x55555555} }, /*  1/3-a3   */
  42 /**/ a5             = {{0x3fc11111, 0x11111111} }, /*  2/15     */
  43 /**/ aa5            = {{0x3c411111, 0x11111111} }, /*  2/15-a5  */
  44 /**/ a7             = {{0x3faba1ba, 0x1ba1ba1c} }, /*  17/315   */
  45 /**/ aa7            = {{0xbc479179, 0x17917918} }, /*   ()-a7   */
  46 /**/ a9             = {{0x3f9664f4, 0x882c10fa} }, /*  62/2835  */
  47 /**/ aa9            = {{0xbc09a528, 0x8b6c44fd} }, /*   ()-a9   */
  48 /**/ a11            = {{0x3f8226e3, 0x55e6c23d} }, /*    .      */
  49 /**/ aa11           = {{0xbc2c292b, 0x8f1a2c13} }, /*    .      */
  50 /**/ a13            = {{0x3f6d6d3d, 0x0e157de0} }, /*    .      */
  51 /**/ aa13           = {{0xbc0280cf, 0xc968d971} }, /*    .      */
  52 /**/ a15            = {{0x3f57da36, 0x452b75e3} }, /*    .      */
  53 #if 0
  54 /**/ aa15           = {{0xbbf25789, 0xb285d2ed} }, /*    .      */
  55 #endif
  56 /**/ a17            = {{0x3f435582, 0x48036744} }, /*    .      */
  57 #if 0
  58 /**/ aa17           = {{0x3be488d9, 0x563f1f23} }, /*    .      */
  59 #endif
  60 /**/ a19            = {{0x3f2f57d7, 0x734d1664} }, /*    .      */
  61 #if 0
  62 /**/ aa19           = {{0x3bb0d55a, 0x913ccb50} }, /*    .      */
  63 #endif
  64 /**/ a21            = {{0x3f1967e1, 0x8afcafad} }, /*    .      */
  65 #if 0
  66 /**/ aa21           = {{0xbbbd7614, 0xa42d44e6} }, /*    .      */
  67 #endif
  68 /**/ a23            = {{0x3f0497d8, 0xeea25259} }, /*    .      */
  69 #if 0
  70 /**/ aa23           = {{0x3b99f2d0, 0x2e4d2863} }, /*    .      */
  71 #endif
  72 /**/ a25            = {{0x3ef0b132, 0xd39a6050} }, /*    .      */
  73 #if 0
  74 /**/ aa25           = {{0x3b93b274, 0xc2c19614} }, /*    .      */
  75 #endif
  76 /**/ a27            = {{0x3edb0f72, 0xd3ee24e9} }, /*    .      */
  77 #if 0
  78 /**/ aa27           = {{0x3b61688d, 0xdd595609} }, /*    .      */
  79 #endif
  80   /* polynomial III */
  81 /**/ e0             = {{0x3FD55555, 0x55554DBD} }, /*    .      */
  82 /**/ e1             = {{0x3FC11112, 0xE0A6B45F} }, /*    .      */
  83
  84   /* constants    */
  85 /**/ zero           = {{0x00000000, 0x00000000} }, /* 0         */
  86 /**/ one            = {{0x3ff00000, 0x00000000} }, /* 1         */
  87 /**/ mone           = {{0xbff00000, 0x00000000} }, /*-1         */
  88 /**/ mfftnhf        = {{0xc02f0000, 0x00000000} }, /*-15.5      */
  89 /**/ two8           = {{0x40700000, 0x00000000} }, /* 256       */
  90
  91 /**/ g1             = {{0x3e4b096c, 0x00000000} }, /* 1.259e-8  */
  92 /**/ g2             = {{0x3faf212d, 0x00000000} }, /* 0.0608    */
  93 /**/ g3             = {{0x3fe92f1a, 0x00000000} }, /* 0.787     */
  94 /**/ g4             = {{0x40390000, 0x00000000} }, /* 25.0      */
  95 /**/ g5             = {{0x4197d784, 0x00000000} }, /* 1e8       */
  96 /**/ gy1            = {{0x3e7ad7f2, 0x9abcaf48} }, /* 1e-7      */
  97 /**/ gy2            = {{0x3faf212d, 0x00000000} }, /* 0.0608    */
  98
  99 /**/ u1             = {{0x3cc8c33a, 0x00000000} }, /* 6.873e-16 */
 100 /**/ u2             = {{0x3983dc4d, 0x00000000} }, /* 1.224e-31 */
 101 /**/ u3             = {{0x3c78e14b, 0x00000000} }, /* 2.158e-17 */
 102 /**/ ua3            = {{0x3bfd8b58, 0x00000000} }, /* 1.001e-19 */
 103 /**/ ub3            = {{0x3cc81898, 0x00000000} }, /* 6.688e-16 */
 104 /**/ u4             = {{0x399856c2, 0x00000000} }, /* 3e-31     */
 105 /**/ u5             = {{0x3c39d80a, 0x00000000} }, /* 1.401e-18 */
 106 /**/ u6             = {{0x3c374c5a, 0x00000000} }, /* 1.263e-18 */
 107 /**/ u7             = {{0x39903beb, 0x00000000} }, /* 2.001e-31 */
 108 /**/ u8             = {{0x399c56ae, 0x00000000} }, /* 3.493e-31 */
 109 /**/ u9             = {{0x3c7d0ac7, 0x00000000} }, /* 2.519e-17 */
 110 /**/ ua9            = {{0x3bfd8b58, 0x00000000} }, /* 1.001e-19 */
 111 /**/ ub9            = {{0x3ccc2375, 0x00000000} }, /* 7.810e-16 */
 112 /**/ u10            = {{0x3c7e40af, 0x00000000} }, /* 2.624e-17 */
 113 /**/ ua10           = {{0x3bfd8b58, 0x00000000} }, /* 1.001e-19 */
 114 /**/ ub10           = {{0x3ccc6405, 0x00000000} }, /* 7.880e-16 */
 115 /**/ u11            = {{0x39e509b6, 0x00000000} }, /* 8.298e-30 */
 116 /**/ u12            = {{0x39e509b6, 0x00000000} }, /* 8.298e-30 */
 117 /**/ u13            = {{0x3c39d80a, 0x00000000} }, /* 1.401e-18 */
 118 /**/ u14            = {{0x3c374c5a, 0x00000000} }, /* 1.263e-18 */
 119 /**/ u15            = {{0x3ab5767a, 0x00000000} }, /* 6.935e-26 */
 120 /**/ u16            = {{0x3ab57744, 0x00000000} }, /* 6.936e-26 */
 121 /**/ u17            = {{0x3c7d0ac7, 0x00000000} }, /* 2.519e-17 */
 122 /**/ ua17           = {{0x3bfdb11f, 0x00000000} }, /* 1.006e-19 */
 123 /**/ ub17           = {{0x3ccc2375, 0x00000000} }, /* 7.810e-16 */
 124 /**/ u18            = {{0x3c7e40af, 0x00000000} }, /* 2.624e-17 */
 125 /**/ ua18           = {{0x3bfdb11f, 0x00000000} }, /* 1.006e-19 */
 126 /**/ ub18           = {{0x3ccc6405, 0x00000000} }, /* 7.880e-16 */
 127 /**/ u19            = {{0x39a13b61, 0x00000000} }, /* 4.248e-31 */
 128 /**/ u20            = {{0x39a13b61, 0x00000000} }, /* 4.248e-31 */
 129 /**/ u21            = {{0x3c3bb9b8, 0x00000000} }, /* 1.503e-18 */
 130 /**/ u22            = {{0x3c392e08, 0x00000000} }, /* 1.365e-18 */
 131 /**/ u23            = {{0x3a0ce706, 0x00000000} }, /* 4.560e-29 */
 132 /**/ u24            = {{0x3a0cff5d, 0x00000000} }, /* 4.575e-29 */
 133 /**/ u25            = {{0x3c7d0ac7, 0x00000000} }, /* 2.519e-17 */
 134 /**/ ua25           = {{0x3bfd8b58, 0x00000000} }, /* 1.001e-19 */
 135 /**/ ub25           = {{0x3ccc2375, 0x00000000} }, /* 7.810e-16 */
 136 /**/ u26            = {{0x3c7e40af, 0x00000000} }, /* 2.624e-17 */
 137 /**/ ua26           = {{0x3bfd8b58, 0x00000000} }, /* 1.001e-19 */
 138 /**/ ub26           = {{0x3ccc6405, 0x00000000} }, /* 7.880e-16 */
 139 /**/ u27            = {{0x3ad421cb, 0x00000000} }, /* 2.602e-25 */
 140 /**/ u28            = {{0x3ad421cb, 0x00000000} }, /* 2.602e-25 */
 141
 142 /**/            mp1 = {{0x3FF921FB, 0x58000000} },
 143 /**/            mp2 = {{0xBE4DDE97, 0x3C000000} },
 144 /**/            mp3 = {{0xBC8CB3B3, 0x99D747F2} },
 145 /**/            pp3 = {{0xBC8CB3B3, 0x98000000} },
 146 /**/            pp4 = {{0xbacd747f, 0x23e32ed7} },
 147 /**/          hpinv = {{0x3FE45F30, 0x6DC9C883} },
 148 /**/          toint = {{0x43380000, 0x00000000} };
 149
 150 #else
 151 #ifdef LITTLE_ENDI
 152
 153   static const number
 154   /* polynomial I */
 155 /**/ d3             = {{0x55555555, 0x3FD55555} }, /*  0.333... */
 156 /**/ d5             = {{0x111107C6, 0x3FC11111} }, /*  0.133... */
 157 /**/ d7             = {{0x1CDB8745, 0x3FABA1BA} }, /*    .      */
 158 /**/ d9             = {{0x49CFC666, 0x3F9664ED} }, /*    .      */
 159 /**/ d11            = {{0x3CF2E4EA, 0x3F82385A} }, /*    .      */
 160   /* polynomial II */
 161 /**/ a3             = {{0x55555555, 0x3fd55555} }, /*  1/3      */
 162 /**/ aa3            = {{0x55555555, 0x3c755555} }, /*  1/3-a3   */
 163 /**/ a5             = {{0x11111111, 0x3fc11111} }, /*  2/15     */
 164 /**/ aa5            = {{0x11111111, 0x3c411111} }, /*  2/15-a5  */
 165 /**/ a7             = {{0x1ba1ba1c, 0x3faba1ba} }, /*  17/315   */
 166 /**/ aa7            = {{0x17917918, 0xbc479179} }, /*   ()-a7   */
 167 /**/ a9             = {{0x882c10fa, 0x3f9664f4} }, /*  62/2835  */
 168 /**/ aa9            = {{0x8b6c44fd, 0xbc09a528} }, /*   ()-a9   */
 169 /**/ a11            = {{0x55e6c23d, 0x3f8226e3} }, /*    .      */
 170 /**/ aa11           = {{0x8f1a2c13, 0xbc2c292b} }, /*    .      */
 171 /**/ a13            = {{0x0e157de0, 0x3f6d6d3d} }, /*    .      */
 172 /**/ aa13           = {{0xc968d971, 0xbc0280cf} }, /*    .      */
 173 /**/ a15            = {{0x452b75e3, 0x3f57da36} }, /*    .      */
 174 #if 0
 175 /**/ aa15           = {{0xb285d2ed, 0xbbf25789} }, /*    .      */
 176 #endif
 177 /**/ a17            = {{0x48036744, 0x3f435582} }, /*    .      */
 178 #if 0
 179 /**/ aa17           = {{0x563f1f23, 0x3be488d9} }, /*    .      */
 180 #endif
 181 /**/ a19            = {{0x734d1664, 0x3f2f57d7} }, /*    .      */
 182 #if 0
 183 /**/ aa19           = {{0x913ccb50, 0x3bb0d55a} }, /*    .      */
 184 #endif
 185 /**/ a21            = {{0x8afcafad, 0x3f1967e1} }, /*    .      */
 186 #if 0
 187 /**/ aa21           = {{0xa42d44e6, 0xbbbd7614} }, /*    .      */
 188 #endif
 189 /**/ a23            = {{0xeea25259, 0x3f0497d8} }, /*    .      */
 190 #if 0
 191 /**/ aa23           = {{0x2e4d2863, 0x3b99f2d0} }, /*    .      */
 192 #endif
 193 /**/ a25            = {{0xd39a6050, 0x3ef0b132} }, /*    .      */
 194 #if 0
 195 /**/ aa25           = {{0xc2c19614, 0x3b93b274} }, /*    .      */
 196 #endif
 197 /**/ a27            = {{0xd3ee24e9, 0x3edb0f72} }, /*    .      */
 198 #if 0
 199 /**/ aa27           = {{0xdd595609, 0x3b61688d} }, /*    .      */
 200 #endif
 201   /* polynomial III */
 202 /**/ e0             = {{0x55554DBD, 0x3FD55555} }, /*    .      */
 203 /**/ e1             = {{0xE0A6B45F, 0x3FC11112} }, /*    .      */
 204
 205   /* constants    */
 206 /**/ zero           = {{0x00000000, 0x00000000} }, /* 0         */
 207 /**/ one            = {{0x00000000, 0x3ff00000} }, /* 1         */
 208 /**/ mone           = {{0x00000000, 0xbff00000} }, /*-1         */
 209 /**/ mfftnhf        = {{0x00000000, 0xc02f0000} }, /*-15.5      */
 210 /**/ two8           = {{0x00000000, 0x40700000} }, /* 256       */
 211
 212 /**/ g1             = {{0x00000000, 0x3e4b096c} }, /* 1.259e-8  */
 213 /**/ g2             = {{0x00000000, 0x3faf212d} }, /* 0.0608    */
 214 /**/ g3             = {{0x00000000, 0x3fe92f1a} }, /* 0.787     */
 215 /**/ g4             = {{0x00000000, 0x40390000} }, /* 25.0      */
 216 /**/ g5             = {{0x00000000, 0x4197d784} }, /* 1e8       */
 217 /**/ gy1            = {{0x9abcaf48, 0x3e7ad7f2} }, /* 1e-7      */
 218 /**/ gy2            = {{0x00000000, 0x3faf212d} }, /* 0.0608    */
 219
 220 /**/ u1             = {{0x00000000, 0x3cc8c33a} }, /* 6.873e-16 */
 221 /**/ u2             = {{0x00000000, 0x3983dc4d} }, /* 1.224e-31 */
 222 /**/ u3             = {{0x00000000, 0x3c78e14b} }, /* 2.158e-17 */
 223 /**/ ua3            = {{0x00000000, 0x3bfd8b58} }, /* 1.001e-19 */
 224 /**/ ub3            = {{0x00000000, 0x3cc81898} }, /* 6.688e-16 */
 225 /**/ u4             = {{0x00000000, 0x399856c2} }, /* 3e-31     */
 226 /**/ u5             = {{0x00000000, 0x3c39d80a} }, /* 1.401e-18 */
 227 /**/ u6             = {{0x00000000, 0x3c374c5a} }, /* 1.263e-18 */
 228 /**/ u7             = {{0x00000000, 0x39903beb} }, /* 2.001e-31 */
 229 /**/ u8             = {{0x00000000, 0x399c56ae} }, /* 3.493e-31 */
 230 /**/ u9             = {{0x00000000, 0x3c7d0ac7} }, /* 2.519e-17 */
 231 /**/ ua9            = {{0x00000000, 0x3bfd8b58} }, /* 1.001e-19 */
 232 /**/ ub9            = {{0x00000000, 0x3ccc2375} }, /* 7.810e-16 */
 233 /**/ u10            = {{0x00000000, 0x3c7e40af} }, /* 2.624e-17 */
 234 /**/ ua10           = {{0x00000000, 0x3bfd8b58} }, /* 1.001e-19 */
 235 /**/ ub10           = {{0x00000000, 0x3ccc6405} }, /* 7.880e-16 */
 236 /**/ u11            = {{0x00000000, 0x39e509b6} }, /* 8.298e-30 */
 237 /**/ u12            = {{0x00000000, 0x39e509b6} }, /* 8.298e-30 */
 238 /**/ u13            = {{0x00000000, 0x3c39d80a} }, /* 1.401e-18 */
 239 /**/ u14            = {{0x00000000, 0x3c374c5a} }, /* 1.263e-18 */
 240 /**/ u15            = {{0x00000000, 0x3ab5767a} }, /* 6.935e-26 */
 241 /**/ u16            = {{0x00000000, 0x3ab57744} }, /* 6.936e-26 */
 242 /**/ u17            = {{0x00000000, 0x3c7d0ac7} }, /* 2.519e-17 */
 243 /**/ ua17           = {{0x00000000, 0x3bfdb11f} }, /* 1.006e-19 */
 244 /**/ ub17           = {{0x00000000, 0x3ccc2375} }, /* 7.810e-16 */
 245 /**/ u18            = {{0x00000000, 0x3c7e40af} }, /* 2.624e-17 */
 246 /**/ ua18           = {{0x00000000, 0x3bfdb11f} }, /* 1.006e-19 */
 247 /**/ ub18           = {{0x00000000, 0x3ccc6405} }, /* 7.880e-16 */
 248 /**/ u19            = {{0x00000000, 0x39a13b61} }, /* 4.248e-31 */
 249 /**/ u20            = {{0x00000000, 0x39a13b61} }, /* 4.248e-31 */
 250 /**/ u21            = {{0x00000000, 0x3c3bb9b8} }, /* 1.503e-18 */
 251 /**/ u22            = {{0x00000000, 0x3c392e08} }, /* 1.365e-18 */
 252 /**/ u23            = {{0x00000000, 0x3a0ce706} }, /* 4.560e-29 */
 253 /**/ u24            = {{0x00000000, 0x3a0cff5d} }, /* 4.575e-29 */
 254 /**/ u25            = {{0x00000000, 0x3c7d0ac7} }, /* 2.519e-17 */
 255 /**/ ua25           = {{0x00000000, 0x3bfd8b58} }, /* 1.001e-19 */
 256 /**/ ub25           = {{0x00000000, 0x3ccc2375} }, /* 7.810e-16 */
 257 /**/ u26            = {{0x00000000, 0x3c7e40af} }, /* 2.624e-17 */
 258 /**/ ua26           = {{0x00000000, 0x3bfd8b58} }, /* 1.001e-19 */
 259 /**/ ub26           = {{0x00000000, 0x3ccc6405} }, /* 7.880e-16 */
 260 /**/ u27            = {{0x00000000, 0x3ad421cb} }, /* 2.602e-25 */
 261 /**/ u28            = {{0x00000000, 0x3ad421cb} }, /* 2.602e-25 */
 262
 263 /**/            mp1 = {{0x58000000, 0x3FF921FB} },
 264 /**/            mp2 = {{0x3C000000, 0xBE4DDE97} },
 265 /**/            mp3 = {{0x99D747F2, 0xBC8CB3B3} },
 266 /**/            pp3 = {{0x98000000, 0xBC8CB3B3} },
 267 /**/            pp4 = {{0x23e32ed7, 0xbacd747f} },
 268 /**/          hpinv = {{0x6DC9C883, 0x3FE45F30} },
 269 /**/          toint = {{0x00000000, 0x43380000} };
 270
 271 #endif
 272 #endif
 273
 274
 275 #define  ZERO      zero.d
 276 #define  ONE       one.d
 277 #define  MONE      mone.d
 278 #define  TWO8      two8.d
 279
 280 #endif