| 1 | /* Software floating-point emulation. |
| 2 | Basic four-word fraction declaration and manipulation. |
| 3 | Copyright (C) 1997-2023 Free Software Foundation, Inc. |
| 4 | This file is part of the GNU C Library. |
| 5 | |
| 6 | The GNU C Library is free software; you can redistribute it and/or |
| 7 | modify it under the terms of the GNU Lesser General Public |
| 8 | License as published by the Free Software Foundation; either |
| 9 | version 2.1 of the License, or (at your option) any later version. |
| 10 | |
| 11 | In addition to the permissions in the GNU Lesser General Public |
| 12 | License, the Free Software Foundation gives you unlimited |
| 13 | permission to link the compiled version of this file into |
| 14 | combinations with other programs, and to distribute those |
| 15 | combinations without any restriction coming from the use of this |
| 16 | file. (The Lesser General Public License restrictions do apply in |
| 17 | other respects; for example, they cover modification of the file, |
| 18 | and distribution when not linked into a combine executable.) |
| 19 | |
| 20 | The GNU C Library is distributed in the hope that it will be useful, |
| 21 | but WITHOUT ANY WARRANTY; without even the implied warranty of |
| 22 | MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU |
| 23 | Lesser General Public License for more details. |
| 24 | |
| 25 | You should have received a copy of the GNU Lesser General Public |
| 26 | License along with the GNU C Library; if not, see |
| 27 | <https://www.gnu.org/licenses/>. */ |
| 28 | |
| 29 | #ifndef SOFT_FP_OP_4_H |
| 30 | #define SOFT_FP_OP_4_H 1 |
| 31 | |
| 32 | #define _FP_FRAC_DECL_4(X) _FP_W_TYPE X##_f[4] |
| 33 | #define _FP_FRAC_COPY_4(D, S) \ |
| 34 | (D##_f[0] = S##_f[0], D##_f[1] = S##_f[1], \ |
| 35 | D##_f[2] = S##_f[2], D##_f[3] = S##_f[3]) |
| 36 | #define _FP_FRAC_SET_4(X, I) __FP_FRAC_SET_4 (X, I) |
| 37 | #define _FP_FRAC_HIGH_4(X) (X##_f[3]) |
| 38 | #define _FP_FRAC_LOW_4(X) (X##_f[0]) |
| 39 | #define _FP_FRAC_WORD_4(X, w) (X##_f[w]) |
| 40 | |
| 41 | #define _FP_FRAC_SLL_4(X, N) \ |
| 42 | do \ |
| 43 | { \ |
| 44 | _FP_I_TYPE _FP_FRAC_SLL_4_up, _FP_FRAC_SLL_4_down; \ |
| 45 | _FP_I_TYPE _FP_FRAC_SLL_4_skip, _FP_FRAC_SLL_4_i; \ |
| 46 | _FP_FRAC_SLL_4_skip = (N) / _FP_W_TYPE_SIZE; \ |
| 47 | _FP_FRAC_SLL_4_up = (N) % _FP_W_TYPE_SIZE; \ |
| 48 | _FP_FRAC_SLL_4_down = _FP_W_TYPE_SIZE - _FP_FRAC_SLL_4_up; \ |
| 49 | if (!_FP_FRAC_SLL_4_up) \ |
| 50 | for (_FP_FRAC_SLL_4_i = 3; \ |
| 51 | _FP_FRAC_SLL_4_i >= _FP_FRAC_SLL_4_skip; \ |
| 52 | --_FP_FRAC_SLL_4_i) \ |
| 53 | X##_f[_FP_FRAC_SLL_4_i] \ |
| 54 | = X##_f[_FP_FRAC_SLL_4_i-_FP_FRAC_SLL_4_skip]; \ |
| 55 | else \ |
| 56 | { \ |
| 57 | for (_FP_FRAC_SLL_4_i = 3; \ |
| 58 | _FP_FRAC_SLL_4_i > _FP_FRAC_SLL_4_skip; \ |
| 59 | --_FP_FRAC_SLL_4_i) \ |
| 60 | X##_f[_FP_FRAC_SLL_4_i] \ |
| 61 | = ((X##_f[_FP_FRAC_SLL_4_i-_FP_FRAC_SLL_4_skip] \ |
| 62 | << _FP_FRAC_SLL_4_up) \ |
| 63 | | (X##_f[_FP_FRAC_SLL_4_i-_FP_FRAC_SLL_4_skip-1] \ |
| 64 | >> _FP_FRAC_SLL_4_down)); \ |
| 65 | X##_f[_FP_FRAC_SLL_4_i--] = X##_f[0] << _FP_FRAC_SLL_4_up; \ |
| 66 | } \ |
| 67 | for (; _FP_FRAC_SLL_4_i >= 0; --_FP_FRAC_SLL_4_i) \ |
| 68 | X##_f[_FP_FRAC_SLL_4_i] = 0; \ |
| 69 | } \ |
| 70 | while (0) |
| 71 | |
| 72 | /* This one was broken too. */ |
| 73 | #define _FP_FRAC_SRL_4(X, N) \ |
| 74 | do \ |
| 75 | { \ |
| 76 | _FP_I_TYPE _FP_FRAC_SRL_4_up, _FP_FRAC_SRL_4_down; \ |
| 77 | _FP_I_TYPE _FP_FRAC_SRL_4_skip, _FP_FRAC_SRL_4_i; \ |
| 78 | _FP_FRAC_SRL_4_skip = (N) / _FP_W_TYPE_SIZE; \ |
| 79 | _FP_FRAC_SRL_4_down = (N) % _FP_W_TYPE_SIZE; \ |
| 80 | _FP_FRAC_SRL_4_up = _FP_W_TYPE_SIZE - _FP_FRAC_SRL_4_down; \ |
| 81 | if (!_FP_FRAC_SRL_4_down) \ |
| 82 | for (_FP_FRAC_SRL_4_i = 0; \ |
| 83 | _FP_FRAC_SRL_4_i <= 3-_FP_FRAC_SRL_4_skip; \ |
| 84 | ++_FP_FRAC_SRL_4_i) \ |
| 85 | X##_f[_FP_FRAC_SRL_4_i] \ |
| 86 | = X##_f[_FP_FRAC_SRL_4_i+_FP_FRAC_SRL_4_skip]; \ |
| 87 | else \ |
| 88 | { \ |
| 89 | for (_FP_FRAC_SRL_4_i = 0; \ |
| 90 | _FP_FRAC_SRL_4_i < 3-_FP_FRAC_SRL_4_skip; \ |
| 91 | ++_FP_FRAC_SRL_4_i) \ |
| 92 | X##_f[_FP_FRAC_SRL_4_i] \ |
| 93 | = ((X##_f[_FP_FRAC_SRL_4_i+_FP_FRAC_SRL_4_skip] \ |
| 94 | >> _FP_FRAC_SRL_4_down) \ |
| 95 | | (X##_f[_FP_FRAC_SRL_4_i+_FP_FRAC_SRL_4_skip+1] \ |
| 96 | << _FP_FRAC_SRL_4_up)); \ |
| 97 | X##_f[_FP_FRAC_SRL_4_i++] = X##_f[3] >> _FP_FRAC_SRL_4_down; \ |
| 98 | } \ |
| 99 | for (; _FP_FRAC_SRL_4_i < 4; ++_FP_FRAC_SRL_4_i) \ |
| 100 | X##_f[_FP_FRAC_SRL_4_i] = 0; \ |
| 101 | } \ |
| 102 | while (0) |
| 103 | |
| 104 | |
| 105 | /* Right shift with sticky-lsb. |
| 106 | What this actually means is that we do a standard right-shift, |
| 107 | but that if any of the bits that fall off the right hand side |
| 108 | were one then we always set the LSbit. */ |
| 109 | #define _FP_FRAC_SRST_4(X, S, N, size) \ |
| 110 | do \ |
| 111 | { \ |
| 112 | _FP_I_TYPE _FP_FRAC_SRST_4_up, _FP_FRAC_SRST_4_down; \ |
| 113 | _FP_I_TYPE _FP_FRAC_SRST_4_skip, _FP_FRAC_SRST_4_i; \ |
| 114 | _FP_W_TYPE _FP_FRAC_SRST_4_s; \ |
| 115 | _FP_FRAC_SRST_4_skip = (N) / _FP_W_TYPE_SIZE; \ |
| 116 | _FP_FRAC_SRST_4_down = (N) % _FP_W_TYPE_SIZE; \ |
| 117 | _FP_FRAC_SRST_4_up = _FP_W_TYPE_SIZE - _FP_FRAC_SRST_4_down; \ |
| 118 | for (_FP_FRAC_SRST_4_s = _FP_FRAC_SRST_4_i = 0; \ |
| 119 | _FP_FRAC_SRST_4_i < _FP_FRAC_SRST_4_skip; \ |
| 120 | ++_FP_FRAC_SRST_4_i) \ |
| 121 | _FP_FRAC_SRST_4_s |= X##_f[_FP_FRAC_SRST_4_i]; \ |
| 122 | if (!_FP_FRAC_SRST_4_down) \ |
| 123 | for (_FP_FRAC_SRST_4_i = 0; \ |
| 124 | _FP_FRAC_SRST_4_i <= 3-_FP_FRAC_SRST_4_skip; \ |
| 125 | ++_FP_FRAC_SRST_4_i) \ |
| 126 | X##_f[_FP_FRAC_SRST_4_i] \ |
| 127 | = X##_f[_FP_FRAC_SRST_4_i+_FP_FRAC_SRST_4_skip]; \ |
| 128 | else \ |
| 129 | { \ |
| 130 | _FP_FRAC_SRST_4_s \ |
| 131 | |= X##_f[_FP_FRAC_SRST_4_i] << _FP_FRAC_SRST_4_up; \ |
| 132 | for (_FP_FRAC_SRST_4_i = 0; \ |
| 133 | _FP_FRAC_SRST_4_i < 3-_FP_FRAC_SRST_4_skip; \ |
| 134 | ++_FP_FRAC_SRST_4_i) \ |
| 135 | X##_f[_FP_FRAC_SRST_4_i] \ |
| 136 | = ((X##_f[_FP_FRAC_SRST_4_i+_FP_FRAC_SRST_4_skip] \ |
| 137 | >> _FP_FRAC_SRST_4_down) \ |
| 138 | | (X##_f[_FP_FRAC_SRST_4_i+_FP_FRAC_SRST_4_skip+1] \ |
| 139 | << _FP_FRAC_SRST_4_up)); \ |
| 140 | X##_f[_FP_FRAC_SRST_4_i++] \ |
| 141 | = X##_f[3] >> _FP_FRAC_SRST_4_down; \ |
| 142 | } \ |
| 143 | for (; _FP_FRAC_SRST_4_i < 4; ++_FP_FRAC_SRST_4_i) \ |
| 144 | X##_f[_FP_FRAC_SRST_4_i] = 0; \ |
| 145 | S = (_FP_FRAC_SRST_4_s != 0); \ |
| 146 | } \ |
| 147 | while (0) |
| 148 | |
| 149 | #define _FP_FRAC_SRS_4(X, N, size) \ |
| 150 | do \ |
| 151 | { \ |
| 152 | int _FP_FRAC_SRS_4_sticky; \ |
| 153 | _FP_FRAC_SRST_4 (X, _FP_FRAC_SRS_4_sticky, (N), (size)); \ |
| 154 | X##_f[0] |= _FP_FRAC_SRS_4_sticky; \ |
| 155 | } \ |
| 156 | while (0) |
| 157 | |
| 158 | #define _FP_FRAC_ADD_4(R, X, Y) \ |
| 159 | __FP_FRAC_ADD_4 (R##_f[3], R##_f[2], R##_f[1], R##_f[0], \ |
| 160 | X##_f[3], X##_f[2], X##_f[1], X##_f[0], \ |
| 161 | Y##_f[3], Y##_f[2], Y##_f[1], Y##_f[0]) |
| 162 | |
| 163 | #define _FP_FRAC_SUB_4(R, X, Y) \ |
| 164 | __FP_FRAC_SUB_4 (R##_f[3], R##_f[2], R##_f[1], R##_f[0], \ |
| 165 | X##_f[3], X##_f[2], X##_f[1], X##_f[0], \ |
| 166 | Y##_f[3], Y##_f[2], Y##_f[1], Y##_f[0]) |
| 167 | |
| 168 | #define _FP_FRAC_DEC_4(X, Y) \ |
| 169 | __FP_FRAC_DEC_4 (X##_f[3], X##_f[2], X##_f[1], X##_f[0], \ |
| 170 | Y##_f[3], Y##_f[2], Y##_f[1], Y##_f[0]) |
| 171 | |
| 172 | #define _FP_FRAC_ADDI_4(X, I) \ |
| 173 | __FP_FRAC_ADDI_4 (X##_f[3], X##_f[2], X##_f[1], X##_f[0], I) |
| 174 | |
| 175 | #define _FP_ZEROFRAC_4 0, 0, 0, 0 |
| 176 | #define _FP_MINFRAC_4 0, 0, 0, 1 |
| 177 | #define _FP_MAXFRAC_4 (~(_FP_WS_TYPE) 0), (~(_FP_WS_TYPE) 0), (~(_FP_WS_TYPE) 0), (~(_FP_WS_TYPE) 0) |
| 178 | |
| 179 | #define _FP_FRAC_ZEROP_4(X) ((X##_f[0] | X##_f[1] | X##_f[2] | X##_f[3]) == 0) |
| 180 | #define _FP_FRAC_NEGP_4(X) ((_FP_WS_TYPE) X##_f[3] < 0) |
| 181 | #define _FP_FRAC_OVERP_4(fs, X) (_FP_FRAC_HIGH_##fs (X) & _FP_OVERFLOW_##fs) |
| 182 | #define _FP_FRAC_HIGHBIT_DW_4(fs, X) \ |
| 183 | (_FP_FRAC_HIGH_DW_##fs (X) & _FP_HIGHBIT_DW_##fs) |
| 184 | #define _FP_FRAC_CLEAR_OVERP_4(fs, X) (_FP_FRAC_HIGH_##fs (X) &= ~_FP_OVERFLOW_##fs) |
| 185 | |
| 186 | #define _FP_FRAC_EQ_4(X, Y) \ |
| 187 | (X##_f[0] == Y##_f[0] && X##_f[1] == Y##_f[1] \ |
| 188 | && X##_f[2] == Y##_f[2] && X##_f[3] == Y##_f[3]) |
| 189 | |
| 190 | #define _FP_FRAC_GT_4(X, Y) \ |
| 191 | (X##_f[3] > Y##_f[3] \ |
| 192 | || (X##_f[3] == Y##_f[3] \ |
| 193 | && (X##_f[2] > Y##_f[2] \ |
| 194 | || (X##_f[2] == Y##_f[2] \ |
| 195 | && (X##_f[1] > Y##_f[1] \ |
| 196 | || (X##_f[1] == Y##_f[1] \ |
| 197 | && X##_f[0] > Y##_f[0])))))) |
| 198 | |
| 199 | #define _FP_FRAC_GE_4(X, Y) \ |
| 200 | (X##_f[3] > Y##_f[3] \ |
| 201 | || (X##_f[3] == Y##_f[3] \ |
| 202 | && (X##_f[2] > Y##_f[2] \ |
| 203 | || (X##_f[2] == Y##_f[2] \ |
| 204 | && (X##_f[1] > Y##_f[1] \ |
| 205 | || (X##_f[1] == Y##_f[1] \ |
| 206 | && X##_f[0] >= Y##_f[0])))))) |
| 207 | |
| 208 | |
| 209 | #define _FP_FRAC_CLZ_4(R, X) \ |
| 210 | do \ |
| 211 | { \ |
| 212 | if (X##_f[3]) \ |
| 213 | __FP_CLZ ((R), X##_f[3]); \ |
| 214 | else if (X##_f[2]) \ |
| 215 | { \ |
| 216 | __FP_CLZ ((R), X##_f[2]); \ |
| 217 | (R) += _FP_W_TYPE_SIZE; \ |
| 218 | } \ |
| 219 | else if (X##_f[1]) \ |
| 220 | { \ |
| 221 | __FP_CLZ ((R), X##_f[1]); \ |
| 222 | (R) += _FP_W_TYPE_SIZE*2; \ |
| 223 | } \ |
| 224 | else \ |
| 225 | { \ |
| 226 | __FP_CLZ ((R), X##_f[0]); \ |
| 227 | (R) += _FP_W_TYPE_SIZE*3; \ |
| 228 | } \ |
| 229 | } \ |
| 230 | while (0) |
| 231 | |
| 232 | |
| 233 | #define _FP_UNPACK_RAW_4(fs, X, val) \ |
| 234 | do \ |
| 235 | { \ |
| 236 | union _FP_UNION_##fs _FP_UNPACK_RAW_4_flo; \ |
| 237 | _FP_UNPACK_RAW_4_flo.flt = (val); \ |
| 238 | X##_f[0] = _FP_UNPACK_RAW_4_flo.bits.frac0; \ |
| 239 | X##_f[1] = _FP_UNPACK_RAW_4_flo.bits.frac1; \ |
| 240 | X##_f[2] = _FP_UNPACK_RAW_4_flo.bits.frac2; \ |
| 241 | X##_f[3] = _FP_UNPACK_RAW_4_flo.bits.frac3; \ |
| 242 | X##_e = _FP_UNPACK_RAW_4_flo.bits.exp; \ |
| 243 | X##_s = _FP_UNPACK_RAW_4_flo.bits.sign; \ |
| 244 | } \ |
| 245 | while (0) |
| 246 | |
| 247 | #define _FP_UNPACK_RAW_4_P(fs, X, val) \ |
| 248 | do \ |
| 249 | { \ |
| 250 | union _FP_UNION_##fs *_FP_UNPACK_RAW_4_P_flo \ |
| 251 | = (union _FP_UNION_##fs *) (val); \ |
| 252 | \ |
| 253 | X##_f[0] = _FP_UNPACK_RAW_4_P_flo->bits.frac0; \ |
| 254 | X##_f[1] = _FP_UNPACK_RAW_4_P_flo->bits.frac1; \ |
| 255 | X##_f[2] = _FP_UNPACK_RAW_4_P_flo->bits.frac2; \ |
| 256 | X##_f[3] = _FP_UNPACK_RAW_4_P_flo->bits.frac3; \ |
| 257 | X##_e = _FP_UNPACK_RAW_4_P_flo->bits.exp; \ |
| 258 | X##_s = _FP_UNPACK_RAW_4_P_flo->bits.sign; \ |
| 259 | } \ |
| 260 | while (0) |
| 261 | |
| 262 | #define _FP_PACK_RAW_4(fs, val, X) \ |
| 263 | do \ |
| 264 | { \ |
| 265 | union _FP_UNION_##fs _FP_PACK_RAW_4_flo; \ |
| 266 | _FP_PACK_RAW_4_flo.bits.frac0 = X##_f[0]; \ |
| 267 | _FP_PACK_RAW_4_flo.bits.frac1 = X##_f[1]; \ |
| 268 | _FP_PACK_RAW_4_flo.bits.frac2 = X##_f[2]; \ |
| 269 | _FP_PACK_RAW_4_flo.bits.frac3 = X##_f[3]; \ |
| 270 | _FP_PACK_RAW_4_flo.bits.exp = X##_e; \ |
| 271 | _FP_PACK_RAW_4_flo.bits.sign = X##_s; \ |
| 272 | (val) = _FP_PACK_RAW_4_flo.flt; \ |
| 273 | } \ |
| 274 | while (0) |
| 275 | |
| 276 | #define _FP_PACK_RAW_4_P(fs, val, X) \ |
| 277 | do \ |
| 278 | { \ |
| 279 | union _FP_UNION_##fs *_FP_PACK_RAW_4_P_flo \ |
| 280 | = (union _FP_UNION_##fs *) (val); \ |
| 281 | \ |
| 282 | _FP_PACK_RAW_4_P_flo->bits.frac0 = X##_f[0]; \ |
| 283 | _FP_PACK_RAW_4_P_flo->bits.frac1 = X##_f[1]; \ |
| 284 | _FP_PACK_RAW_4_P_flo->bits.frac2 = X##_f[2]; \ |
| 285 | _FP_PACK_RAW_4_P_flo->bits.frac3 = X##_f[3]; \ |
| 286 | _FP_PACK_RAW_4_P_flo->bits.exp = X##_e; \ |
| 287 | _FP_PACK_RAW_4_P_flo->bits.sign = X##_s; \ |
| 288 | } \ |
| 289 | while (0) |
| 290 | |
| 291 | /* Multiplication algorithms: */ |
| 292 | |
| 293 | /* Given a 1W * 1W => 2W primitive, do the extended multiplication. */ |
| 294 | |
| 295 | #define _FP_MUL_MEAT_DW_4_wide(wfracbits, R, X, Y, doit) \ |
| 296 | do \ |
| 297 | { \ |
| 298 | _FP_FRAC_DECL_2 (_FP_MUL_MEAT_DW_4_wide_b); \ |
| 299 | _FP_FRAC_DECL_2 (_FP_MUL_MEAT_DW_4_wide_c); \ |
| 300 | _FP_FRAC_DECL_2 (_FP_MUL_MEAT_DW_4_wide_d); \ |
| 301 | _FP_FRAC_DECL_2 (_FP_MUL_MEAT_DW_4_wide_e); \ |
| 302 | _FP_FRAC_DECL_2 (_FP_MUL_MEAT_DW_4_wide_f); \ |
| 303 | \ |
| 304 | doit (_FP_FRAC_WORD_8 (R, 1), _FP_FRAC_WORD_8 (R, 0), \ |
| 305 | X##_f[0], Y##_f[0]); \ |
| 306 | doit (_FP_MUL_MEAT_DW_4_wide_b_f1, _FP_MUL_MEAT_DW_4_wide_b_f0, \ |
| 307 | X##_f[0], Y##_f[1]); \ |
| 308 | doit (_FP_MUL_MEAT_DW_4_wide_c_f1, _FP_MUL_MEAT_DW_4_wide_c_f0, \ |
| 309 | X##_f[1], Y##_f[0]); \ |
| 310 | doit (_FP_MUL_MEAT_DW_4_wide_d_f1, _FP_MUL_MEAT_DW_4_wide_d_f0, \ |
| 311 | X##_f[1], Y##_f[1]); \ |
| 312 | doit (_FP_MUL_MEAT_DW_4_wide_e_f1, _FP_MUL_MEAT_DW_4_wide_e_f0, \ |
| 313 | X##_f[0], Y##_f[2]); \ |
| 314 | doit (_FP_MUL_MEAT_DW_4_wide_f_f1, _FP_MUL_MEAT_DW_4_wide_f_f0, \ |
| 315 | X##_f[2], Y##_f[0]); \ |
| 316 | __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 3), _FP_FRAC_WORD_8 (R, 2), \ |
| 317 | _FP_FRAC_WORD_8 (R, 1), 0, \ |
| 318 | _FP_MUL_MEAT_DW_4_wide_b_f1, \ |
| 319 | _FP_MUL_MEAT_DW_4_wide_b_f0, \ |
| 320 | 0, 0, _FP_FRAC_WORD_8 (R, 1)); \ |
| 321 | __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 3), _FP_FRAC_WORD_8 (R, 2), \ |
| 322 | _FP_FRAC_WORD_8 (R, 1), 0, \ |
| 323 | _FP_MUL_MEAT_DW_4_wide_c_f1, \ |
| 324 | _FP_MUL_MEAT_DW_4_wide_c_f0, \ |
| 325 | _FP_FRAC_WORD_8 (R, 3), _FP_FRAC_WORD_8 (R, 2), \ |
| 326 | _FP_FRAC_WORD_8 (R, 1)); \ |
| 327 | __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 4), _FP_FRAC_WORD_8 (R, 3), \ |
| 328 | _FP_FRAC_WORD_8 (R, 2), 0, \ |
| 329 | _FP_MUL_MEAT_DW_4_wide_d_f1, \ |
| 330 | _FP_MUL_MEAT_DW_4_wide_d_f0, \ |
| 331 | 0, _FP_FRAC_WORD_8 (R, 3), _FP_FRAC_WORD_8 (R, 2)); \ |
| 332 | __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 4), _FP_FRAC_WORD_8 (R, 3), \ |
| 333 | _FP_FRAC_WORD_8 (R, 2), 0, \ |
| 334 | _FP_MUL_MEAT_DW_4_wide_e_f1, \ |
| 335 | _FP_MUL_MEAT_DW_4_wide_e_f0, \ |
| 336 | _FP_FRAC_WORD_8 (R, 4), _FP_FRAC_WORD_8 (R, 3), \ |
| 337 | _FP_FRAC_WORD_8 (R, 2)); \ |
| 338 | __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 4), _FP_FRAC_WORD_8 (R, 3), \ |
| 339 | _FP_FRAC_WORD_8 (R, 2), 0, \ |
| 340 | _FP_MUL_MEAT_DW_4_wide_f_f1, \ |
| 341 | _FP_MUL_MEAT_DW_4_wide_f_f0, \ |
| 342 | _FP_FRAC_WORD_8 (R, 4), _FP_FRAC_WORD_8 (R, 3), \ |
| 343 | _FP_FRAC_WORD_8 (R, 2)); \ |
| 344 | doit (_FP_MUL_MEAT_DW_4_wide_b_f1, \ |
| 345 | _FP_MUL_MEAT_DW_4_wide_b_f0, X##_f[0], Y##_f[3]); \ |
| 346 | doit (_FP_MUL_MEAT_DW_4_wide_c_f1, \ |
| 347 | _FP_MUL_MEAT_DW_4_wide_c_f0, X##_f[3], Y##_f[0]); \ |
| 348 | doit (_FP_MUL_MEAT_DW_4_wide_d_f1, _FP_MUL_MEAT_DW_4_wide_d_f0, \ |
| 349 | X##_f[1], Y##_f[2]); \ |
| 350 | doit (_FP_MUL_MEAT_DW_4_wide_e_f1, _FP_MUL_MEAT_DW_4_wide_e_f0, \ |
| 351 | X##_f[2], Y##_f[1]); \ |
| 352 | __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 5), _FP_FRAC_WORD_8 (R, 4), \ |
| 353 | _FP_FRAC_WORD_8 (R, 3), 0, \ |
| 354 | _FP_MUL_MEAT_DW_4_wide_b_f1, \ |
| 355 | _FP_MUL_MEAT_DW_4_wide_b_f0, \ |
| 356 | 0, _FP_FRAC_WORD_8 (R, 4), _FP_FRAC_WORD_8 (R, 3)); \ |
| 357 | __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 5), _FP_FRAC_WORD_8 (R, 4), \ |
| 358 | _FP_FRAC_WORD_8 (R, 3), 0, \ |
| 359 | _FP_MUL_MEAT_DW_4_wide_c_f1, \ |
| 360 | _FP_MUL_MEAT_DW_4_wide_c_f0, \ |
| 361 | _FP_FRAC_WORD_8 (R, 5), _FP_FRAC_WORD_8 (R, 4), \ |
| 362 | _FP_FRAC_WORD_8 (R, 3)); \ |
| 363 | __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 5), _FP_FRAC_WORD_8 (R, 4), \ |
| 364 | _FP_FRAC_WORD_8 (R, 3), 0, \ |
| 365 | _FP_MUL_MEAT_DW_4_wide_d_f1, \ |
| 366 | _FP_MUL_MEAT_DW_4_wide_d_f0, \ |
| 367 | _FP_FRAC_WORD_8 (R, 5), _FP_FRAC_WORD_8 (R, 4), \ |
| 368 | _FP_FRAC_WORD_8 (R, 3)); \ |
| 369 | __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 5), _FP_FRAC_WORD_8 (R, 4), \ |
| 370 | _FP_FRAC_WORD_8 (R, 3), 0, \ |
| 371 | _FP_MUL_MEAT_DW_4_wide_e_f1, \ |
| 372 | _FP_MUL_MEAT_DW_4_wide_e_f0, \ |
| 373 | _FP_FRAC_WORD_8 (R, 5), _FP_FRAC_WORD_8 (R, 4), \ |
| 374 | _FP_FRAC_WORD_8 (R, 3)); \ |
| 375 | doit (_FP_MUL_MEAT_DW_4_wide_b_f1, _FP_MUL_MEAT_DW_4_wide_b_f0, \ |
| 376 | X##_f[2], Y##_f[2]); \ |
| 377 | doit (_FP_MUL_MEAT_DW_4_wide_c_f1, _FP_MUL_MEAT_DW_4_wide_c_f0, \ |
| 378 | X##_f[1], Y##_f[3]); \ |
| 379 | doit (_FP_MUL_MEAT_DW_4_wide_d_f1, _FP_MUL_MEAT_DW_4_wide_d_f0, \ |
| 380 | X##_f[3], Y##_f[1]); \ |
| 381 | doit (_FP_MUL_MEAT_DW_4_wide_e_f1, _FP_MUL_MEAT_DW_4_wide_e_f0, \ |
| 382 | X##_f[2], Y##_f[3]); \ |
| 383 | doit (_FP_MUL_MEAT_DW_4_wide_f_f1, _FP_MUL_MEAT_DW_4_wide_f_f0, \ |
| 384 | X##_f[3], Y##_f[2]); \ |
| 385 | __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 6), _FP_FRAC_WORD_8 (R, 5), \ |
| 386 | _FP_FRAC_WORD_8 (R, 4), 0, \ |
| 387 | _FP_MUL_MEAT_DW_4_wide_b_f1, \ |
| 388 | _FP_MUL_MEAT_DW_4_wide_b_f0, \ |
| 389 | 0, _FP_FRAC_WORD_8 (R, 5), _FP_FRAC_WORD_8 (R, 4)); \ |
| 390 | __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 6), _FP_FRAC_WORD_8 (R, 5), \ |
| 391 | _FP_FRAC_WORD_8 (R, 4), 0, \ |
| 392 | _FP_MUL_MEAT_DW_4_wide_c_f1, \ |
| 393 | _FP_MUL_MEAT_DW_4_wide_c_f0, \ |
| 394 | _FP_FRAC_WORD_8 (R, 6), _FP_FRAC_WORD_8 (R, 5), \ |
| 395 | _FP_FRAC_WORD_8 (R, 4)); \ |
| 396 | __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 6), _FP_FRAC_WORD_8 (R, 5), \ |
| 397 | _FP_FRAC_WORD_8 (R, 4), 0, \ |
| 398 | _FP_MUL_MEAT_DW_4_wide_d_f1, \ |
| 399 | _FP_MUL_MEAT_DW_4_wide_d_f0, \ |
| 400 | _FP_FRAC_WORD_8 (R, 6), _FP_FRAC_WORD_8 (R, 5), \ |
| 401 | _FP_FRAC_WORD_8 (R, 4)); \ |
| 402 | __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 7), _FP_FRAC_WORD_8 (R, 6), \ |
| 403 | _FP_FRAC_WORD_8 (R, 5), 0, \ |
| 404 | _FP_MUL_MEAT_DW_4_wide_e_f1, \ |
| 405 | _FP_MUL_MEAT_DW_4_wide_e_f0, \ |
| 406 | 0, _FP_FRAC_WORD_8 (R, 6), _FP_FRAC_WORD_8 (R, 5)); \ |
| 407 | __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 7), _FP_FRAC_WORD_8 (R, 6), \ |
| 408 | _FP_FRAC_WORD_8 (R, 5), 0, \ |
| 409 | _FP_MUL_MEAT_DW_4_wide_f_f1, \ |
| 410 | _FP_MUL_MEAT_DW_4_wide_f_f0, \ |
| 411 | _FP_FRAC_WORD_8 (R, 7), _FP_FRAC_WORD_8 (R, 6), \ |
| 412 | _FP_FRAC_WORD_8 (R, 5)); \ |
| 413 | doit (_FP_MUL_MEAT_DW_4_wide_b_f1, _FP_MUL_MEAT_DW_4_wide_b_f0, \ |
| 414 | X##_f[3], Y##_f[3]); \ |
| 415 | __FP_FRAC_ADD_2 (_FP_FRAC_WORD_8 (R, 7), _FP_FRAC_WORD_8 (R, 6), \ |
| 416 | _FP_MUL_MEAT_DW_4_wide_b_f1, \ |
| 417 | _FP_MUL_MEAT_DW_4_wide_b_f0, \ |
| 418 | _FP_FRAC_WORD_8 (R, 7), _FP_FRAC_WORD_8 (R, 6)); \ |
| 419 | } \ |
| 420 | while (0) |
| 421 | |
| 422 | #define _FP_MUL_MEAT_4_wide(wfracbits, R, X, Y, doit) \ |
| 423 | do \ |
| 424 | { \ |
| 425 | _FP_FRAC_DECL_8 (_FP_MUL_MEAT_4_wide_z); \ |
| 426 | \ |
| 427 | _FP_MUL_MEAT_DW_4_wide ((wfracbits), _FP_MUL_MEAT_4_wide_z, \ |
| 428 | X, Y, doit); \ |
| 429 | \ |
| 430 | /* Normalize since we know where the msb of the multiplicands \ |
| 431 | were (bit B), we know that the msb of the of the product is \ |
| 432 | at either 2B or 2B-1. */ \ |
| 433 | _FP_FRAC_SRS_8 (_FP_MUL_MEAT_4_wide_z, (wfracbits)-1, \ |
| 434 | 2*(wfracbits)); \ |
| 435 | __FP_FRAC_SET_4 (R, _FP_FRAC_WORD_8 (_FP_MUL_MEAT_4_wide_z, 3), \ |
| 436 | _FP_FRAC_WORD_8 (_FP_MUL_MEAT_4_wide_z, 2), \ |
| 437 | _FP_FRAC_WORD_8 (_FP_MUL_MEAT_4_wide_z, 1), \ |
| 438 | _FP_FRAC_WORD_8 (_FP_MUL_MEAT_4_wide_z, 0)); \ |
| 439 | } \ |
| 440 | while (0) |
| 441 | |
| 442 | #define _FP_MUL_MEAT_DW_4_gmp(wfracbits, R, X, Y) \ |
| 443 | do \ |
| 444 | { \ |
| 445 | mpn_mul_n (R##_f, _x_f, _y_f, 4); \ |
| 446 | } \ |
| 447 | while (0) |
| 448 | |
| 449 | #define _FP_MUL_MEAT_4_gmp(wfracbits, R, X, Y) \ |
| 450 | do \ |
| 451 | { \ |
| 452 | _FP_FRAC_DECL_8 (_FP_MUL_MEAT_4_gmp_z); \ |
| 453 | \ |
| 454 | _FP_MUL_MEAT_DW_4_gmp ((wfracbits), _FP_MUL_MEAT_4_gmp_z, X, Y); \ |
| 455 | \ |
| 456 | /* Normalize since we know where the msb of the multiplicands \ |
| 457 | were (bit B), we know that the msb of the of the product is \ |
| 458 | at either 2B or 2B-1. */ \ |
| 459 | _FP_FRAC_SRS_8 (_FP_MUL_MEAT_4_gmp_z, (wfracbits)-1, \ |
| 460 | 2*(wfracbits)); \ |
| 461 | __FP_FRAC_SET_4 (R, _FP_FRAC_WORD_8 (_FP_MUL_MEAT_4_gmp_z, 3), \ |
| 462 | _FP_FRAC_WORD_8 (_FP_MUL_MEAT_4_gmp_z, 2), \ |
| 463 | _FP_FRAC_WORD_8 (_FP_MUL_MEAT_4_gmp_z, 1), \ |
| 464 | _FP_FRAC_WORD_8 (_FP_MUL_MEAT_4_gmp_z, 0)); \ |
| 465 | } \ |
| 466 | while (0) |
| 467 | |
| 468 | /* Helper utility for _FP_DIV_MEAT_4_udiv: |
| 469 | * pppp = m * nnn. */ |
| 470 | #define umul_ppppmnnn(p3, p2, p1, p0, m, n2, n1, n0) \ |
| 471 | do \ |
| 472 | { \ |
| 473 | UWtype umul_ppppmnnn_t; \ |
| 474 | umul_ppmm (p1, p0, m, n0); \ |
| 475 | umul_ppmm (p2, umul_ppppmnnn_t, m, n1); \ |
| 476 | __FP_FRAC_ADDI_2 (p2, p1, umul_ppppmnnn_t); \ |
| 477 | umul_ppmm (p3, umul_ppppmnnn_t, m, n2); \ |
| 478 | __FP_FRAC_ADDI_2 (p3, p2, umul_ppppmnnn_t); \ |
| 479 | } \ |
| 480 | while (0) |
| 481 | |
| 482 | /* Division algorithms: */ |
| 483 | |
| 484 | #define _FP_DIV_MEAT_4_udiv(fs, R, X, Y) \ |
| 485 | do \ |
| 486 | { \ |
| 487 | int _FP_DIV_MEAT_4_udiv_i; \ |
| 488 | _FP_FRAC_DECL_4 (_FP_DIV_MEAT_4_udiv_n); \ |
| 489 | _FP_FRAC_DECL_4 (_FP_DIV_MEAT_4_udiv_m); \ |
| 490 | _FP_FRAC_SET_4 (_FP_DIV_MEAT_4_udiv_n, _FP_ZEROFRAC_4); \ |
| 491 | if (_FP_FRAC_GE_4 (X, Y)) \ |
| 492 | { \ |
| 493 | _FP_DIV_MEAT_4_udiv_n_f[3] \ |
| 494 | = X##_f[0] << (_FP_W_TYPE_SIZE - 1); \ |
| 495 | _FP_FRAC_SRL_4 (X, 1); \ |
| 496 | } \ |
| 497 | else \ |
| 498 | R##_e--; \ |
| 499 | \ |
| 500 | /* Normalize, i.e. make the most significant bit of the \ |
| 501 | denominator set. */ \ |
| 502 | _FP_FRAC_SLL_4 (Y, _FP_WFRACXBITS_##fs); \ |
| 503 | \ |
| 504 | for (_FP_DIV_MEAT_4_udiv_i = 3; ; _FP_DIV_MEAT_4_udiv_i--) \ |
| 505 | { \ |
| 506 | if (X##_f[3] == Y##_f[3]) \ |
| 507 | { \ |
| 508 | /* This is a special case, not an optimization \ |
| 509 | (X##_f[3]/Y##_f[3] would not fit into UWtype). \ |
| 510 | As X## is guaranteed to be < Y, \ |
| 511 | R##_f[_FP_DIV_MEAT_4_udiv_i] can be either \ |
| 512 | (UWtype)-1 or (UWtype)-2. */ \ |
| 513 | R##_f[_FP_DIV_MEAT_4_udiv_i] = -1; \ |
| 514 | if (!_FP_DIV_MEAT_4_udiv_i) \ |
| 515 | break; \ |
| 516 | __FP_FRAC_SUB_4 (X##_f[3], X##_f[2], X##_f[1], X##_f[0], \ |
| 517 | Y##_f[2], Y##_f[1], Y##_f[0], 0, \ |
| 518 | X##_f[2], X##_f[1], X##_f[0], \ |
| 519 | _FP_DIV_MEAT_4_udiv_n_f[_FP_DIV_MEAT_4_udiv_i]); \ |
| 520 | _FP_FRAC_SUB_4 (X, Y, X); \ |
| 521 | if (X##_f[3] > Y##_f[3]) \ |
| 522 | { \ |
| 523 | R##_f[_FP_DIV_MEAT_4_udiv_i] = -2; \ |
| 524 | _FP_FRAC_ADD_4 (X, Y, X); \ |
| 525 | } \ |
| 526 | } \ |
| 527 | else \ |
| 528 | { \ |
| 529 | udiv_qrnnd (R##_f[_FP_DIV_MEAT_4_udiv_i], \ |
| 530 | X##_f[3], X##_f[3], X##_f[2], Y##_f[3]); \ |
| 531 | umul_ppppmnnn (_FP_DIV_MEAT_4_udiv_m_f[3], \ |
| 532 | _FP_DIV_MEAT_4_udiv_m_f[2], \ |
| 533 | _FP_DIV_MEAT_4_udiv_m_f[1], \ |
| 534 | _FP_DIV_MEAT_4_udiv_m_f[0], \ |
| 535 | R##_f[_FP_DIV_MEAT_4_udiv_i], \ |
| 536 | Y##_f[2], Y##_f[1], Y##_f[0]); \ |
| 537 | X##_f[2] = X##_f[1]; \ |
| 538 | X##_f[1] = X##_f[0]; \ |
| 539 | X##_f[0] \ |
| 540 | = _FP_DIV_MEAT_4_udiv_n_f[_FP_DIV_MEAT_4_udiv_i]; \ |
| 541 | if (_FP_FRAC_GT_4 (_FP_DIV_MEAT_4_udiv_m, X)) \ |
| 542 | { \ |
| 543 | R##_f[_FP_DIV_MEAT_4_udiv_i]--; \ |
| 544 | _FP_FRAC_ADD_4 (X, Y, X); \ |
| 545 | if (_FP_FRAC_GE_4 (X, Y) \ |
| 546 | && _FP_FRAC_GT_4 (_FP_DIV_MEAT_4_udiv_m, X)) \ |
| 547 | { \ |
| 548 | R##_f[_FP_DIV_MEAT_4_udiv_i]--; \ |
| 549 | _FP_FRAC_ADD_4 (X, Y, X); \ |
| 550 | } \ |
| 551 | } \ |
| 552 | _FP_FRAC_DEC_4 (X, _FP_DIV_MEAT_4_udiv_m); \ |
| 553 | if (!_FP_DIV_MEAT_4_udiv_i) \ |
| 554 | { \ |
| 555 | if (!_FP_FRAC_EQ_4 (X, _FP_DIV_MEAT_4_udiv_m)) \ |
| 556 | R##_f[0] |= _FP_WORK_STICKY; \ |
| 557 | break; \ |
| 558 | } \ |
| 559 | } \ |
| 560 | } \ |
| 561 | } \ |
| 562 | while (0) |
| 563 | |
| 564 | |
| 565 | /* Square root algorithms: |
| 566 | We have just one right now, maybe Newton approximation |
| 567 | should be added for those machines where division is fast. */ |
| 568 | |
| 569 | #define _FP_SQRT_MEAT_4(R, S, T, X, q) \ |
| 570 | do \ |
| 571 | { \ |
| 572 | while (q) \ |
| 573 | { \ |
| 574 | T##_f[3] = S##_f[3] + (q); \ |
| 575 | if (T##_f[3] <= X##_f[3]) \ |
| 576 | { \ |
| 577 | S##_f[3] = T##_f[3] + (q); \ |
| 578 | X##_f[3] -= T##_f[3]; \ |
| 579 | R##_f[3] += (q); \ |
| 580 | } \ |
| 581 | _FP_FRAC_SLL_4 (X, 1); \ |
| 582 | (q) >>= 1; \ |
| 583 | } \ |
| 584 | (q) = (_FP_W_TYPE) 1 << (_FP_W_TYPE_SIZE - 1); \ |
| 585 | while (q) \ |
| 586 | { \ |
| 587 | T##_f[2] = S##_f[2] + (q); \ |
| 588 | T##_f[3] = S##_f[3]; \ |
| 589 | if (T##_f[3] < X##_f[3] \ |
| 590 | || (T##_f[3] == X##_f[3] && T##_f[2] <= X##_f[2])) \ |
| 591 | { \ |
| 592 | S##_f[2] = T##_f[2] + (q); \ |
| 593 | S##_f[3] += (T##_f[2] > S##_f[2]); \ |
| 594 | __FP_FRAC_DEC_2 (X##_f[3], X##_f[2], \ |
| 595 | T##_f[3], T##_f[2]); \ |
| 596 | R##_f[2] += (q); \ |
| 597 | } \ |
| 598 | _FP_FRAC_SLL_4 (X, 1); \ |
| 599 | (q) >>= 1; \ |
| 600 | } \ |
| 601 | (q) = (_FP_W_TYPE) 1 << (_FP_W_TYPE_SIZE - 1); \ |
| 602 | while (q) \ |
| 603 | { \ |
| 604 | T##_f[1] = S##_f[1] + (q); \ |
| 605 | T##_f[2] = S##_f[2]; \ |
| 606 | T##_f[3] = S##_f[3]; \ |
| 607 | if (T##_f[3] < X##_f[3] \ |
| 608 | || (T##_f[3] == X##_f[3] \ |
| 609 | && (T##_f[2] < X##_f[2] \ |
| 610 | || (T##_f[2] == X##_f[2] \ |
| 611 | && T##_f[1] <= X##_f[1])))) \ |
| 612 | { \ |
| 613 | S##_f[1] = T##_f[1] + (q); \ |
| 614 | S##_f[2] += (T##_f[1] > S##_f[1]); \ |
| 615 | S##_f[3] += (T##_f[2] > S##_f[2]); \ |
| 616 | __FP_FRAC_DEC_3 (X##_f[3], X##_f[2], X##_f[1], \ |
| 617 | T##_f[3], T##_f[2], T##_f[1]); \ |
| 618 | R##_f[1] += (q); \ |
| 619 | } \ |
| 620 | _FP_FRAC_SLL_4 (X, 1); \ |
| 621 | (q) >>= 1; \ |
| 622 | } \ |
| 623 | (q) = (_FP_W_TYPE) 1 << (_FP_W_TYPE_SIZE - 1); \ |
| 624 | while ((q) != _FP_WORK_ROUND) \ |
| 625 | { \ |
| 626 | T##_f[0] = S##_f[0] + (q); \ |
| 627 | T##_f[1] = S##_f[1]; \ |
| 628 | T##_f[2] = S##_f[2]; \ |
| 629 | T##_f[3] = S##_f[3]; \ |
| 630 | if (_FP_FRAC_GE_4 (X, T)) \ |
| 631 | { \ |
| 632 | S##_f[0] = T##_f[0] + (q); \ |
| 633 | S##_f[1] += (T##_f[0] > S##_f[0]); \ |
| 634 | S##_f[2] += (T##_f[1] > S##_f[1]); \ |
| 635 | S##_f[3] += (T##_f[2] > S##_f[2]); \ |
| 636 | _FP_FRAC_DEC_4 (X, T); \ |
| 637 | R##_f[0] += (q); \ |
| 638 | } \ |
| 639 | _FP_FRAC_SLL_4 (X, 1); \ |
| 640 | (q) >>= 1; \ |
| 641 | } \ |
| 642 | if (!_FP_FRAC_ZEROP_4 (X)) \ |
| 643 | { \ |
| 644 | if (_FP_FRAC_GT_4 (X, S)) \ |
| 645 | R##_f[0] |= _FP_WORK_ROUND; \ |
| 646 | R##_f[0] |= _FP_WORK_STICKY; \ |
| 647 | } \ |
| 648 | } \ |
| 649 | while (0) |
| 650 | |
| 651 | |
| 652 | /* Internals. */ |
| 653 | |
| 654 | #define __FP_FRAC_SET_4(X, I3, I2, I1, I0) \ |
| 655 | (X##_f[3] = I3, X##_f[2] = I2, X##_f[1] = I1, X##_f[0] = I0) |
| 656 | |
| 657 | #ifndef __FP_FRAC_ADD_3 |
| 658 | # define __FP_FRAC_ADD_3(r2, r1, r0, x2, x1, x0, y2, y1, y0) \ |
| 659 | do \ |
| 660 | { \ |
| 661 | _FP_W_TYPE __FP_FRAC_ADD_3_c1, __FP_FRAC_ADD_3_c2; \ |
| 662 | r0 = x0 + y0; \ |
| 663 | __FP_FRAC_ADD_3_c1 = r0 < x0; \ |
| 664 | r1 = x1 + y1; \ |
| 665 | __FP_FRAC_ADD_3_c2 = r1 < x1; \ |
| 666 | r1 += __FP_FRAC_ADD_3_c1; \ |
| 667 | __FP_FRAC_ADD_3_c2 |= r1 < __FP_FRAC_ADD_3_c1; \ |
| 668 | r2 = x2 + y2 + __FP_FRAC_ADD_3_c2; \ |
| 669 | } \ |
| 670 | while (0) |
| 671 | #endif |
| 672 | |
| 673 | #ifndef __FP_FRAC_ADD_4 |
| 674 | # define __FP_FRAC_ADD_4(r3, r2, r1, r0, x3, x2, x1, x0, y3, y2, y1, y0) \ |
| 675 | do \ |
| 676 | { \ |
| 677 | _FP_W_TYPE __FP_FRAC_ADD_4_c1, __FP_FRAC_ADD_4_c2; \ |
| 678 | _FP_W_TYPE __FP_FRAC_ADD_4_c3; \ |
| 679 | r0 = x0 + y0; \ |
| 680 | __FP_FRAC_ADD_4_c1 = r0 < x0; \ |
| 681 | r1 = x1 + y1; \ |
| 682 | __FP_FRAC_ADD_4_c2 = r1 < x1; \ |
| 683 | r1 += __FP_FRAC_ADD_4_c1; \ |
| 684 | __FP_FRAC_ADD_4_c2 |= r1 < __FP_FRAC_ADD_4_c1; \ |
| 685 | r2 = x2 + y2; \ |
| 686 | __FP_FRAC_ADD_4_c3 = r2 < x2; \ |
| 687 | r2 += __FP_FRAC_ADD_4_c2; \ |
| 688 | __FP_FRAC_ADD_4_c3 |= r2 < __FP_FRAC_ADD_4_c2; \ |
| 689 | r3 = x3 + y3 + __FP_FRAC_ADD_4_c3; \ |
| 690 | } \ |
| 691 | while (0) |
| 692 | #endif |
| 693 | |
| 694 | #ifndef __FP_FRAC_SUB_3 |
| 695 | # define __FP_FRAC_SUB_3(r2, r1, r0, x2, x1, x0, y2, y1, y0) \ |
| 696 | do \ |
| 697 | { \ |
| 698 | _FP_W_TYPE __FP_FRAC_SUB_3_tmp[2]; \ |
| 699 | _FP_W_TYPE __FP_FRAC_SUB_3_c1, __FP_FRAC_SUB_3_c2; \ |
| 700 | __FP_FRAC_SUB_3_tmp[0] = x0 - y0; \ |
| 701 | __FP_FRAC_SUB_3_c1 = __FP_FRAC_SUB_3_tmp[0] > x0; \ |
| 702 | __FP_FRAC_SUB_3_tmp[1] = x1 - y1; \ |
| 703 | __FP_FRAC_SUB_3_c2 = __FP_FRAC_SUB_3_tmp[1] > x1; \ |
| 704 | __FP_FRAC_SUB_3_tmp[1] -= __FP_FRAC_SUB_3_c1; \ |
| 705 | __FP_FRAC_SUB_3_c2 |= __FP_FRAC_SUB_3_c1 && (y1 == x1); \ |
| 706 | r2 = x2 - y2 - __FP_FRAC_SUB_3_c2; \ |
| 707 | r1 = __FP_FRAC_SUB_3_tmp[1]; \ |
| 708 | r0 = __FP_FRAC_SUB_3_tmp[0]; \ |
| 709 | } \ |
| 710 | while (0) |
| 711 | #endif |
| 712 | |
| 713 | #ifndef __FP_FRAC_SUB_4 |
| 714 | # define __FP_FRAC_SUB_4(r3, r2, r1, r0, x3, x2, x1, x0, y3, y2, y1, y0) \ |
| 715 | do \ |
| 716 | { \ |
| 717 | _FP_W_TYPE __FP_FRAC_SUB_4_tmp[3]; \ |
| 718 | _FP_W_TYPE __FP_FRAC_SUB_4_c1, __FP_FRAC_SUB_4_c2; \ |
| 719 | _FP_W_TYPE __FP_FRAC_SUB_4_c3; \ |
| 720 | __FP_FRAC_SUB_4_tmp[0] = x0 - y0; \ |
| 721 | __FP_FRAC_SUB_4_c1 = __FP_FRAC_SUB_4_tmp[0] > x0; \ |
| 722 | __FP_FRAC_SUB_4_tmp[1] = x1 - y1; \ |
| 723 | __FP_FRAC_SUB_4_c2 = __FP_FRAC_SUB_4_tmp[1] > x1; \ |
| 724 | __FP_FRAC_SUB_4_tmp[1] -= __FP_FRAC_SUB_4_c1; \ |
| 725 | __FP_FRAC_SUB_4_c2 |= __FP_FRAC_SUB_4_c1 && (y1 == x1); \ |
| 726 | __FP_FRAC_SUB_4_tmp[2] = x2 - y2; \ |
| 727 | __FP_FRAC_SUB_4_c3 = __FP_FRAC_SUB_4_tmp[2] > x2; \ |
| 728 | __FP_FRAC_SUB_4_tmp[2] -= __FP_FRAC_SUB_4_c2; \ |
| 729 | __FP_FRAC_SUB_4_c3 |= __FP_FRAC_SUB_4_c2 && (y2 == x2); \ |
| 730 | r3 = x3 - y3 - __FP_FRAC_SUB_4_c3; \ |
| 731 | r2 = __FP_FRAC_SUB_4_tmp[2]; \ |
| 732 | r1 = __FP_FRAC_SUB_4_tmp[1]; \ |
| 733 | r0 = __FP_FRAC_SUB_4_tmp[0]; \ |
| 734 | } \ |
| 735 | while (0) |
| 736 | #endif |
| 737 | |
| 738 | #ifndef __FP_FRAC_DEC_3 |
| 739 | # define __FP_FRAC_DEC_3(x2, x1, x0, y2, y1, y0) \ |
| 740 | do \ |
| 741 | { \ |
| 742 | UWtype __FP_FRAC_DEC_3_t0, __FP_FRAC_DEC_3_t1; \ |
| 743 | UWtype __FP_FRAC_DEC_3_t2; \ |
| 744 | __FP_FRAC_DEC_3_t0 = x0; \ |
| 745 | __FP_FRAC_DEC_3_t1 = x1; \ |
| 746 | __FP_FRAC_DEC_3_t2 = x2; \ |
| 747 | __FP_FRAC_SUB_3 (x2, x1, x0, __FP_FRAC_DEC_3_t2, \ |
| 748 | __FP_FRAC_DEC_3_t1, __FP_FRAC_DEC_3_t0, \ |
| 749 | y2, y1, y0); \ |
| 750 | } \ |
| 751 | while (0) |
| 752 | #endif |
| 753 | |
| 754 | #ifndef __FP_FRAC_DEC_4 |
| 755 | # define __FP_FRAC_DEC_4(x3, x2, x1, x0, y3, y2, y1, y0) \ |
| 756 | do \ |
| 757 | { \ |
| 758 | UWtype __FP_FRAC_DEC_4_t0, __FP_FRAC_DEC_4_t1; \ |
| 759 | UWtype __FP_FRAC_DEC_4_t2, __FP_FRAC_DEC_4_t3; \ |
| 760 | __FP_FRAC_DEC_4_t0 = x0; \ |
| 761 | __FP_FRAC_DEC_4_t1 = x1; \ |
| 762 | __FP_FRAC_DEC_4_t2 = x2; \ |
| 763 | __FP_FRAC_DEC_4_t3 = x3; \ |
| 764 | __FP_FRAC_SUB_4 (x3, x2, x1, x0, __FP_FRAC_DEC_4_t3, \ |
| 765 | __FP_FRAC_DEC_4_t2, __FP_FRAC_DEC_4_t1, \ |
| 766 | __FP_FRAC_DEC_4_t0, y3, y2, y1, y0); \ |
| 767 | } \ |
| 768 | while (0) |
| 769 | #endif |
| 770 | |
| 771 | #ifndef __FP_FRAC_ADDI_4 |
| 772 | # define __FP_FRAC_ADDI_4(x3, x2, x1, x0, i) \ |
| 773 | do \ |
| 774 | { \ |
| 775 | UWtype __FP_FRAC_ADDI_4_t; \ |
| 776 | __FP_FRAC_ADDI_4_t = ((x0 += i) < i); \ |
| 777 | x1 += __FP_FRAC_ADDI_4_t; \ |
| 778 | __FP_FRAC_ADDI_4_t = (x1 < __FP_FRAC_ADDI_4_t); \ |
| 779 | x2 += __FP_FRAC_ADDI_4_t; \ |
| 780 | __FP_FRAC_ADDI_4_t = (x2 < __FP_FRAC_ADDI_4_t); \ |
| 781 | x3 += __FP_FRAC_ADDI_4_t; \ |
| 782 | } \ |
| 783 | while (0) |
| 784 | #endif |
| 785 | |
| 786 | /* Convert FP values between word sizes. This appears to be more |
| 787 | complicated than I'd have expected it to be, so these might be |
| 788 | wrong... These macros are in any case somewhat bogus because they |
| 789 | use information about what various FRAC_n variables look like |
| 790 | internally [eg, that 2 word vars are X_f0 and x_f1]. But so do |
| 791 | the ones in op-2.h and op-1.h. */ |
| 792 | #define _FP_FRAC_COPY_1_4(D, S) (D##_f = S##_f[0]) |
| 793 | |
| 794 | #define _FP_FRAC_COPY_2_4(D, S) \ |
| 795 | do \ |
| 796 | { \ |
| 797 | D##_f0 = S##_f[0]; \ |
| 798 | D##_f1 = S##_f[1]; \ |
| 799 | } \ |
| 800 | while (0) |
| 801 | |
| 802 | /* Assembly/disassembly for converting to/from integral types. |
| 803 | No shifting or overflow handled here. */ |
| 804 | /* Put the FP value X into r, which is an integer of size rsize. */ |
| 805 | #define _FP_FRAC_ASSEMBLE_4(r, X, rsize) \ |
| 806 | do \ |
| 807 | { \ |
| 808 | if ((rsize) <= _FP_W_TYPE_SIZE) \ |
| 809 | (r) = X##_f[0]; \ |
| 810 | else if ((rsize) <= 2*_FP_W_TYPE_SIZE) \ |
| 811 | { \ |
| 812 | (r) = X##_f[1]; \ |
| 813 | (r) = ((rsize) <= _FP_W_TYPE_SIZE \ |
| 814 | ? 0 \ |
| 815 | : (r) << _FP_W_TYPE_SIZE); \ |
| 816 | (r) += X##_f[0]; \ |
| 817 | } \ |
| 818 | else \ |
| 819 | { \ |
| 820 | /* I'm feeling lazy so we deal with int == 3words \ |
| 821 | (implausible) and int == 4words as a single case. */ \ |
| 822 | (r) = X##_f[3]; \ |
| 823 | (r) = ((rsize) <= _FP_W_TYPE_SIZE \ |
| 824 | ? 0 \ |
| 825 | : (r) << _FP_W_TYPE_SIZE); \ |
| 826 | (r) += X##_f[2]; \ |
| 827 | (r) = ((rsize) <= _FP_W_TYPE_SIZE \ |
| 828 | ? 0 \ |
| 829 | : (r) << _FP_W_TYPE_SIZE); \ |
| 830 | (r) += X##_f[1]; \ |
| 831 | (r) = ((rsize) <= _FP_W_TYPE_SIZE \ |
| 832 | ? 0 \ |
| 833 | : (r) << _FP_W_TYPE_SIZE); \ |
| 834 | (r) += X##_f[0]; \ |
| 835 | } \ |
| 836 | } \ |
| 837 | while (0) |
| 838 | |
| 839 | /* "No disassemble Number Five!" */ |
| 840 | /* Move an integer of size rsize into X's fractional part. We rely on |
| 841 | the _f[] array consisting of words of size _FP_W_TYPE_SIZE to avoid |
| 842 | having to mask the values we store into it. */ |
| 843 | #define _FP_FRAC_DISASSEMBLE_4(X, r, rsize) \ |
| 844 | do \ |
| 845 | { \ |
| 846 | X##_f[0] = (r); \ |
| 847 | X##_f[1] = ((rsize) <= _FP_W_TYPE_SIZE \ |
| 848 | ? 0 \ |
| 849 | : (r) >> _FP_W_TYPE_SIZE); \ |
| 850 | X##_f[2] = ((rsize) <= 2*_FP_W_TYPE_SIZE \ |
| 851 | ? 0 \ |
| 852 | : (r) >> 2*_FP_W_TYPE_SIZE); \ |
| 853 | X##_f[3] = ((rsize) <= 3*_FP_W_TYPE_SIZE \ |
| 854 | ? 0 \ |
| 855 | : (r) >> 3*_FP_W_TYPE_SIZE); \ |
| 856 | } \ |
| 857 | while (0) |
| 858 | |
| 859 | #define _FP_FRAC_COPY_4_1(D, S) \ |
| 860 | do \ |
| 861 | { \ |
| 862 | D##_f[0] = S##_f; \ |
| 863 | D##_f[1] = D##_f[2] = D##_f[3] = 0; \ |
| 864 | } \ |
| 865 | while (0) |
| 866 | |
| 867 | #define _FP_FRAC_COPY_4_2(D, S) \ |
| 868 | do \ |
| 869 | { \ |
| 870 | D##_f[0] = S##_f0; \ |
| 871 | D##_f[1] = S##_f1; \ |
| 872 | D##_f[2] = D##_f[3] = 0; \ |
| 873 | } \ |
| 874 | while (0) |
| 875 | |
| 876 | #define _FP_FRAC_COPY_4_4(D, S) _FP_FRAC_COPY_4 (D, S) |
| 877 | |
| 878 | #endif /* !SOFT_FP_OP_4_H */ |
| 879 | |