1 1.1 mrg /* Software floating-point emulation. 2 1.1 mrg Basic eight-word fraction declaration and manipulation. 3 1.1.1.7 mrg Copyright (C) 1997-2022 Free Software Foundation, Inc. 4 1.1 mrg This file is part of the GNU C Library. 5 1.1 mrg 6 1.1 mrg The GNU C Library is free software; you can redistribute it and/or 7 1.1 mrg modify it under the terms of the GNU Lesser General Public 8 1.1 mrg License as published by the Free Software Foundation; either 9 1.1 mrg version 2.1 of the License, or (at your option) any later version. 10 1.1 mrg 11 1.1 mrg In addition to the permissions in the GNU Lesser General Public 12 1.1 mrg License, the Free Software Foundation gives you unlimited 13 1.1 mrg permission to link the compiled version of this file into 14 1.1 mrg combinations with other programs, and to distribute those 15 1.1 mrg combinations without any restriction coming from the use of this 16 1.1 mrg file. (The Lesser General Public License restrictions do apply in 17 1.1 mrg other respects; for example, they cover modification of the file, 18 1.1 mrg and distribution when not linked into a combine executable.) 19 1.1 mrg 20 1.1 mrg The GNU C Library is distributed in the hope that it will be useful, 21 1.1 mrg but WITHOUT ANY WARRANTY; without even the implied warranty of 22 1.1 mrg MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU 23 1.1 mrg Lesser General Public License for more details. 24 1.1 mrg 25 1.1 mrg You should have received a copy of the GNU Lesser General Public 26 1.1 mrg License along with the GNU C Library; if not, see 27 1.1.1.7 mrg <https://www.gnu.org/licenses/>. */ 28 1.1 mrg 29 1.1.1.3 mrg #ifndef SOFT_FP_OP_8_H 30 1.1.1.3 mrg #define SOFT_FP_OP_8_H 1 31 1.1.1.3 mrg 32 1.1 mrg /* We need just a few things from here for op-4, if we ever need some 33 1.1.1.2 mrg other macros, they can be added. */ 34 1.1 mrg #define _FP_FRAC_DECL_8(X) _FP_W_TYPE X##_f[8] 35 1.1.1.5 mrg #define _FP_FRAC_SET_8(X, I) __FP_FRAC_SET_8 (X, I) 36 1.1 mrg #define _FP_FRAC_HIGH_8(X) (X##_f[7]) 37 1.1 mrg #define _FP_FRAC_LOW_8(X) (X##_f[0]) 38 1.1.1.2 mrg #define _FP_FRAC_WORD_8(X, w) (X##_f[w]) 39 1.1 mrg 40 1.1.1.2 mrg #define _FP_FRAC_SLL_8(X, N) \ 41 1.1.1.2 mrg do \ 42 1.1.1.2 mrg { \ 43 1.1.1.2 mrg _FP_I_TYPE _FP_FRAC_SLL_8_up, _FP_FRAC_SLL_8_down; \ 44 1.1.1.2 mrg _FP_I_TYPE _FP_FRAC_SLL_8_skip, _FP_FRAC_SLL_8_i; \ 45 1.1.1.2 mrg _FP_FRAC_SLL_8_skip = (N) / _FP_W_TYPE_SIZE; \ 46 1.1.1.2 mrg _FP_FRAC_SLL_8_up = (N) % _FP_W_TYPE_SIZE; \ 47 1.1.1.2 mrg _FP_FRAC_SLL_8_down = _FP_W_TYPE_SIZE - _FP_FRAC_SLL_8_up; \ 48 1.1.1.2 mrg if (!_FP_FRAC_SLL_8_up) \ 49 1.1.1.2 mrg for (_FP_FRAC_SLL_8_i = 7; \ 50 1.1.1.2 mrg _FP_FRAC_SLL_8_i >= _FP_FRAC_SLL_8_skip; \ 51 1.1.1.2 mrg --_FP_FRAC_SLL_8_i) \ 52 1.1.1.2 mrg X##_f[_FP_FRAC_SLL_8_i] \ 53 1.1.1.2 mrg = X##_f[_FP_FRAC_SLL_8_i-_FP_FRAC_SLL_8_skip]; \ 54 1.1.1.2 mrg else \ 55 1.1.1.2 mrg { \ 56 1.1.1.2 mrg for (_FP_FRAC_SLL_8_i = 7; \ 57 1.1.1.2 mrg _FP_FRAC_SLL_8_i > _FP_FRAC_SLL_8_skip; \ 58 1.1.1.2 mrg --_FP_FRAC_SLL_8_i) \ 59 1.1.1.2 mrg X##_f[_FP_FRAC_SLL_8_i] \ 60 1.1.1.2 mrg = ((X##_f[_FP_FRAC_SLL_8_i-_FP_FRAC_SLL_8_skip] \ 61 1.1.1.2 mrg << _FP_FRAC_SLL_8_up) \ 62 1.1.1.2 mrg | (X##_f[_FP_FRAC_SLL_8_i-_FP_FRAC_SLL_8_skip-1] \ 63 1.1.1.2 mrg >> _FP_FRAC_SLL_8_down)); \ 64 1.1.1.2 mrg X##_f[_FP_FRAC_SLL_8_i--] = X##_f[0] << _FP_FRAC_SLL_8_up; \ 65 1.1.1.2 mrg } \ 66 1.1.1.2 mrg for (; _FP_FRAC_SLL_8_i >= 0; --_FP_FRAC_SLL_8_i) \ 67 1.1.1.2 mrg X##_f[_FP_FRAC_SLL_8_i] = 0; \ 68 1.1.1.2 mrg } \ 69 1.1.1.2 mrg while (0) 70 1.1.1.2 mrg 71 1.1.1.2 mrg #define _FP_FRAC_SRL_8(X, N) \ 72 1.1.1.2 mrg do \ 73 1.1.1.2 mrg { \ 74 1.1.1.2 mrg _FP_I_TYPE _FP_FRAC_SRL_8_up, _FP_FRAC_SRL_8_down; \ 75 1.1.1.2 mrg _FP_I_TYPE _FP_FRAC_SRL_8_skip, _FP_FRAC_SRL_8_i; \ 76 1.1.1.2 mrg _FP_FRAC_SRL_8_skip = (N) / _FP_W_TYPE_SIZE; \ 77 1.1.1.2 mrg _FP_FRAC_SRL_8_down = (N) % _FP_W_TYPE_SIZE; \ 78 1.1.1.2 mrg _FP_FRAC_SRL_8_up = _FP_W_TYPE_SIZE - _FP_FRAC_SRL_8_down; \ 79 1.1.1.2 mrg if (!_FP_FRAC_SRL_8_down) \ 80 1.1.1.2 mrg for (_FP_FRAC_SRL_8_i = 0; \ 81 1.1.1.2 mrg _FP_FRAC_SRL_8_i <= 7-_FP_FRAC_SRL_8_skip; \ 82 1.1.1.2 mrg ++_FP_FRAC_SRL_8_i) \ 83 1.1.1.2 mrg X##_f[_FP_FRAC_SRL_8_i] \ 84 1.1.1.2 mrg = X##_f[_FP_FRAC_SRL_8_i+_FP_FRAC_SRL_8_skip]; \ 85 1.1.1.2 mrg else \ 86 1.1.1.2 mrg { \ 87 1.1.1.2 mrg for (_FP_FRAC_SRL_8_i = 0; \ 88 1.1.1.2 mrg _FP_FRAC_SRL_8_i < 7-_FP_FRAC_SRL_8_skip; \ 89 1.1.1.2 mrg ++_FP_FRAC_SRL_8_i) \ 90 1.1.1.2 mrg X##_f[_FP_FRAC_SRL_8_i] \ 91 1.1.1.2 mrg = ((X##_f[_FP_FRAC_SRL_8_i+_FP_FRAC_SRL_8_skip] \ 92 1.1.1.2 mrg >> _FP_FRAC_SRL_8_down) \ 93 1.1.1.2 mrg | (X##_f[_FP_FRAC_SRL_8_i+_FP_FRAC_SRL_8_skip+1] \ 94 1.1.1.2 mrg << _FP_FRAC_SRL_8_up)); \ 95 1.1.1.2 mrg X##_f[_FP_FRAC_SRL_8_i++] = X##_f[7] >> _FP_FRAC_SRL_8_down; \ 96 1.1.1.2 mrg } \ 97 1.1.1.2 mrg for (; _FP_FRAC_SRL_8_i < 8; ++_FP_FRAC_SRL_8_i) \ 98 1.1.1.2 mrg X##_f[_FP_FRAC_SRL_8_i] = 0; \ 99 1.1.1.2 mrg } \ 100 1.1.1.2 mrg while (0) 101 1.1.1.2 mrg 102 1.1.1.2 mrg 103 1.1.1.2 mrg /* Right shift with sticky-lsb. 104 1.1.1.2 mrg What this actually means is that we do a standard right-shift, 105 1.1.1.2 mrg but that if any of the bits that fall off the right hand side 106 1.1.1.2 mrg were one then we always set the LSbit. */ 107 1.1.1.2 mrg #define _FP_FRAC_SRS_8(X, N, size) \ 108 1.1.1.2 mrg do \ 109 1.1.1.2 mrg { \ 110 1.1.1.2 mrg _FP_I_TYPE _FP_FRAC_SRS_8_up, _FP_FRAC_SRS_8_down; \ 111 1.1.1.2 mrg _FP_I_TYPE _FP_FRAC_SRS_8_skip, _FP_FRAC_SRS_8_i; \ 112 1.1.1.2 mrg _FP_W_TYPE _FP_FRAC_SRS_8_s; \ 113 1.1.1.2 mrg _FP_FRAC_SRS_8_skip = (N) / _FP_W_TYPE_SIZE; \ 114 1.1.1.2 mrg _FP_FRAC_SRS_8_down = (N) % _FP_W_TYPE_SIZE; \ 115 1.1.1.2 mrg _FP_FRAC_SRS_8_up = _FP_W_TYPE_SIZE - _FP_FRAC_SRS_8_down; \ 116 1.1.1.2 mrg for (_FP_FRAC_SRS_8_s = _FP_FRAC_SRS_8_i = 0; \ 117 1.1.1.2 mrg _FP_FRAC_SRS_8_i < _FP_FRAC_SRS_8_skip; \ 118 1.1.1.2 mrg ++_FP_FRAC_SRS_8_i) \ 119 1.1.1.2 mrg _FP_FRAC_SRS_8_s |= X##_f[_FP_FRAC_SRS_8_i]; \ 120 1.1.1.2 mrg if (!_FP_FRAC_SRS_8_down) \ 121 1.1.1.2 mrg for (_FP_FRAC_SRS_8_i = 0; \ 122 1.1.1.2 mrg _FP_FRAC_SRS_8_i <= 7-_FP_FRAC_SRS_8_skip; \ 123 1.1.1.2 mrg ++_FP_FRAC_SRS_8_i) \ 124 1.1.1.2 mrg X##_f[_FP_FRAC_SRS_8_i] \ 125 1.1.1.2 mrg = X##_f[_FP_FRAC_SRS_8_i+_FP_FRAC_SRS_8_skip]; \ 126 1.1.1.2 mrg else \ 127 1.1.1.2 mrg { \ 128 1.1.1.2 mrg _FP_FRAC_SRS_8_s \ 129 1.1.1.2 mrg |= X##_f[_FP_FRAC_SRS_8_i] << _FP_FRAC_SRS_8_up; \ 130 1.1.1.2 mrg for (_FP_FRAC_SRS_8_i = 0; \ 131 1.1.1.2 mrg _FP_FRAC_SRS_8_i < 7-_FP_FRAC_SRS_8_skip; \ 132 1.1.1.2 mrg ++_FP_FRAC_SRS_8_i) \ 133 1.1.1.2 mrg X##_f[_FP_FRAC_SRS_8_i] \ 134 1.1.1.2 mrg = ((X##_f[_FP_FRAC_SRS_8_i+_FP_FRAC_SRS_8_skip] \ 135 1.1.1.2 mrg >> _FP_FRAC_SRS_8_down) \ 136 1.1.1.2 mrg | (X##_f[_FP_FRAC_SRS_8_i+_FP_FRAC_SRS_8_skip+1] \ 137 1.1.1.2 mrg << _FP_FRAC_SRS_8_up)); \ 138 1.1.1.2 mrg X##_f[_FP_FRAC_SRS_8_i++] = X##_f[7] >> _FP_FRAC_SRS_8_down; \ 139 1.1.1.2 mrg } \ 140 1.1.1.2 mrg for (; _FP_FRAC_SRS_8_i < 8; ++_FP_FRAC_SRS_8_i) \ 141 1.1.1.2 mrg X##_f[_FP_FRAC_SRS_8_i] = 0; \ 142 1.1.1.2 mrg /* Don't fix the LSB until the very end when we're sure f[0] is \ 143 1.1.1.2 mrg stable. */ \ 144 1.1.1.2 mrg X##_f[0] |= (_FP_FRAC_SRS_8_s != 0); \ 145 1.1.1.2 mrg } \ 146 1.1.1.2 mrg while (0) 147 1.1.1.3 mrg 148 1.1.1.5 mrg #define _FP_FRAC_ADD_8(R, X, Y) \ 149 1.1.1.5 mrg do \ 150 1.1.1.5 mrg { \ 151 1.1.1.5 mrg _FP_W_TYPE _FP_FRAC_ADD_8_c = 0; \ 152 1.1.1.5 mrg _FP_I_TYPE _FP_FRAC_ADD_8_i; \ 153 1.1.1.5 mrg for (_FP_FRAC_ADD_8_i = 0; _FP_FRAC_ADD_8_i < 8; ++_FP_FRAC_ADD_8_i) \ 154 1.1.1.5 mrg { \ 155 1.1.1.5 mrg R##_f[_FP_FRAC_ADD_8_i] \ 156 1.1.1.5 mrg = (X##_f[_FP_FRAC_ADD_8_i] + Y##_f[_FP_FRAC_ADD_8_i] \ 157 1.1.1.5 mrg + _FP_FRAC_ADD_8_c); \ 158 1.1.1.5 mrg _FP_FRAC_ADD_8_c \ 159 1.1.1.5 mrg = (_FP_FRAC_ADD_8_c \ 160 1.1.1.5 mrg ? R##_f[_FP_FRAC_ADD_8_i] <= X##_f[_FP_FRAC_ADD_8_i] \ 161 1.1.1.5 mrg : R##_f[_FP_FRAC_ADD_8_i] < X##_f[_FP_FRAC_ADD_8_i]); \ 162 1.1.1.5 mrg } \ 163 1.1.1.5 mrg } \ 164 1.1.1.5 mrg while (0) 165 1.1.1.5 mrg 166 1.1.1.5 mrg #define _FP_FRAC_SUB_8(R, X, Y) \ 167 1.1.1.5 mrg do \ 168 1.1.1.5 mrg { \ 169 1.1.1.5 mrg _FP_W_TYPE _FP_FRAC_SUB_8_tmp[8]; \ 170 1.1.1.5 mrg _FP_W_TYPE _FP_FRAC_SUB_8_c = 0; \ 171 1.1.1.5 mrg _FP_I_TYPE _FP_FRAC_SUB_8_i; \ 172 1.1.1.5 mrg for (_FP_FRAC_SUB_8_i = 0; _FP_FRAC_SUB_8_i < 8; ++_FP_FRAC_SUB_8_i) \ 173 1.1.1.5 mrg { \ 174 1.1.1.5 mrg _FP_FRAC_SUB_8_tmp[_FP_FRAC_SUB_8_i] \ 175 1.1.1.5 mrg = (X##_f[_FP_FRAC_SUB_8_i] - Y##_f[_FP_FRAC_SUB_8_i] \ 176 1.1.1.5 mrg - _FP_FRAC_SUB_8_c); \ 177 1.1.1.5 mrg _FP_FRAC_SUB_8_c \ 178 1.1.1.5 mrg = (_FP_FRAC_SUB_8_c \ 179 1.1.1.5 mrg ? (_FP_FRAC_SUB_8_tmp[_FP_FRAC_SUB_8_i] \ 180 1.1.1.5 mrg >= X##_f[_FP_FRAC_SUB_8_i]) \ 181 1.1.1.5 mrg : (_FP_FRAC_SUB_8_tmp[_FP_FRAC_SUB_8_i] \ 182 1.1.1.5 mrg > X##_f[_FP_FRAC_SUB_8_i])); \ 183 1.1.1.5 mrg } \ 184 1.1.1.5 mrg for (_FP_FRAC_SUB_8_i = 0; _FP_FRAC_SUB_8_i < 8; ++_FP_FRAC_SUB_8_i) \ 185 1.1.1.5 mrg R##_f[_FP_FRAC_SUB_8_i] = _FP_FRAC_SUB_8_tmp[_FP_FRAC_SUB_8_i]; \ 186 1.1.1.5 mrg } \ 187 1.1.1.5 mrg while (0) 188 1.1.1.5 mrg 189 1.1.1.5 mrg #define _FP_FRAC_CLZ_8(R, X) \ 190 1.1.1.5 mrg do \ 191 1.1.1.5 mrg { \ 192 1.1.1.5 mrg _FP_I_TYPE _FP_FRAC_CLZ_8_i; \ 193 1.1.1.5 mrg for (_FP_FRAC_CLZ_8_i = 7; _FP_FRAC_CLZ_8_i > 0; _FP_FRAC_CLZ_8_i--) \ 194 1.1.1.5 mrg if (X##_f[_FP_FRAC_CLZ_8_i]) \ 195 1.1.1.5 mrg break; \ 196 1.1.1.5 mrg __FP_CLZ ((R), X##_f[_FP_FRAC_CLZ_8_i]); \ 197 1.1.1.5 mrg (R) += _FP_W_TYPE_SIZE * (7 - _FP_FRAC_CLZ_8_i); \ 198 1.1.1.5 mrg } \ 199 1.1.1.5 mrg while (0) 200 1.1.1.5 mrg 201 1.1.1.5 mrg #define _FP_MINFRAC_8 0, 0, 0, 0, 0, 0, 0, 1 202 1.1.1.5 mrg 203 1.1.1.5 mrg #define _FP_FRAC_NEGP_8(X) ((_FP_WS_TYPE) X##_f[7] < 0) 204 1.1.1.5 mrg #define _FP_FRAC_ZEROP_8(X) \ 205 1.1.1.5 mrg ((X##_f[0] | X##_f[1] | X##_f[2] | X##_f[3] \ 206 1.1.1.5 mrg | X##_f[4] | X##_f[5] | X##_f[6] | X##_f[7]) == 0) 207 1.1.1.5 mrg #define _FP_FRAC_HIGHBIT_DW_8(fs, X) \ 208 1.1.1.5 mrg (_FP_FRAC_HIGH_DW_##fs (X) & _FP_HIGHBIT_DW_##fs) 209 1.1.1.5 mrg 210 1.1.1.5 mrg #define _FP_FRAC_COPY_4_8(D, S) \ 211 1.1.1.5 mrg do \ 212 1.1.1.5 mrg { \ 213 1.1.1.5 mrg D##_f[0] = S##_f[0]; \ 214 1.1.1.5 mrg D##_f[1] = S##_f[1]; \ 215 1.1.1.5 mrg D##_f[2] = S##_f[2]; \ 216 1.1.1.5 mrg D##_f[3] = S##_f[3]; \ 217 1.1.1.5 mrg } \ 218 1.1.1.5 mrg while (0) 219 1.1.1.5 mrg 220 1.1.1.5 mrg #define _FP_FRAC_COPY_8_4(D, S) \ 221 1.1.1.5 mrg do \ 222 1.1.1.5 mrg { \ 223 1.1.1.5 mrg D##_f[0] = S##_f[0]; \ 224 1.1.1.5 mrg D##_f[1] = S##_f[1]; \ 225 1.1.1.5 mrg D##_f[2] = S##_f[2]; \ 226 1.1.1.5 mrg D##_f[3] = S##_f[3]; \ 227 1.1.1.5 mrg D##_f[4] = D##_f[5] = D##_f[6] = D##_f[7]= 0; \ 228 1.1.1.5 mrg } \ 229 1.1.1.5 mrg while (0) 230 1.1.1.5 mrg 231 1.1.1.5 mrg #define __FP_FRAC_SET_8(X, I7, I6, I5, I4, I3, I2, I1, I0) \ 232 1.1.1.5 mrg (X##_f[7] = I7, X##_f[6] = I6, X##_f[5] = I5, X##_f[4] = I4, \ 233 1.1.1.5 mrg X##_f[3] = I3, X##_f[2] = I2, X##_f[1] = I1, X##_f[0] = I0) 234 1.1.1.5 mrg 235 1.1.1.3 mrg #endif /* !SOFT_FP_OP_8_H */ 236