1 /* Skylake gmp-mparam.h -- Compiler/machine parameter header file. 2 3 Copyright 2019 Free Software Foundation, Inc. 4 5 This file is part of the GNU MP Library. 6 7 The GNU MP Library is free software; you can redistribute it and/or modify 8 it under the terms of either: 9 10 * the GNU Lesser General Public License as published by the Free 11 Software Foundation; either version 3 of the License, or (at your 12 option) any later version. 13 14 or 15 16 * the GNU General Public License as published by the Free Software 17 Foundation; either version 2 of the License, or (at your option) any 18 later version. 19 20 or both in parallel, as here. 21 22 The GNU MP Library is distributed in the hope that it will be useful, but 23 WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY 24 or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License 25 for more details. 26 27 You should have received copies of the GNU General Public License and the 28 GNU Lesser General Public License along with the GNU MP Library. If not, 29 see https://www.gnu.org/licenses/. */ 30 31 #define GMP_LIMB_BITS 64 32 #define GMP_LIMB_BYTES 8 33 34 /* Disable use of slow functions. FIXME: We should disable lib inclusion. */ 35 #undef HAVE_NATIVE_mpn_mul_2 36 #undef HAVE_NATIVE_mpn_addmul_2 37 38 /* 3600-4000 MHz Intel Xeon E3-1270v5 Skylake */ 39 /* FFT tuning limit = 465,990,371 */ 40 /* Generated by tuneup.c, 2019-10-18, gcc 8.3 */ 41 /* FFT_TABLEs merged with a new run, 2020-09-25, fft_max_size 1000000000 */ 42 43 #define MOD_1_NORM_THRESHOLD 0 /* always */ 44 #define MOD_1_UNNORM_THRESHOLD 0 /* always */ 45 #define MOD_1N_TO_MOD_1_1_THRESHOLD 4 46 #define MOD_1U_TO_MOD_1_1_THRESHOLD 3 47 #define MOD_1_1_TO_MOD_1_2_THRESHOLD 13 48 #define MOD_1_2_TO_MOD_1_4_THRESHOLD 32 49 #define PREINV_MOD_1_TO_MOD_1_THRESHOLD 9 50 #define USE_PREINV_DIVREM_1 1 /* native */ 51 #define DIV_QR_1_NORM_THRESHOLD 1 52 #define DIV_QR_1_UNNORM_THRESHOLD MP_SIZE_T_MAX /* never */ 53 #define DIV_QR_2_PI2_THRESHOLD 41 54 #define DIVEXACT_1_THRESHOLD 0 /* always (native) */ 55 #define BMOD_1_TO_MOD_1_THRESHOLD 20 56 57 #define DIV_1_VS_MUL_1_PERCENT 473 58 59 #define MUL_TOOM22_THRESHOLD 26 60 #define MUL_TOOM33_THRESHOLD 73 61 #define MUL_TOOM44_THRESHOLD 208 62 #define MUL_TOOM6H_THRESHOLD 300 63 #define MUL_TOOM8H_THRESHOLD 406 64 65 #define MUL_TOOM32_TO_TOOM43_THRESHOLD 73 66 #define MUL_TOOM32_TO_TOOM53_THRESHOLD 153 67 #define MUL_TOOM42_TO_TOOM53_THRESHOLD 137 68 #define MUL_TOOM42_TO_TOOM63_THRESHOLD 151 69 #define MUL_TOOM43_TO_TOOM54_THRESHOLD 106 70 71 #define SQR_BASECASE_THRESHOLD 0 /* always (native) */ 72 #define SQR_TOOM2_THRESHOLD 32 73 #define SQR_TOOM3_THRESHOLD 117 74 #define SQR_TOOM4_THRESHOLD 336 75 #define SQR_TOOM6_THRESHOLD 426 76 #define SQR_TOOM8_THRESHOLD 547 77 78 #define MULMID_TOOM42_THRESHOLD 46 79 80 #define MULMOD_BNM1_THRESHOLD 15 81 #define SQRMOD_BNM1_THRESHOLD 17 82 83 #define MUL_FFT_MODF_THRESHOLD 404 /* k = 5 */ 84 #define MUL_FFT_TABLE3 \ 85 { { 404, 5}, { 21, 6}, { 11, 5}, { 23, 6}, \ 86 { 12, 5}, { 25, 6}, { 28, 7}, { 15, 6}, \ 87 { 31, 7}, { 21, 8}, { 11, 7}, { 25, 8}, \ 88 { 13, 7}, { 28, 8}, { 15, 7}, { 32, 8}, \ 89 { 17, 7}, { 35, 8}, { 19, 7}, { 39, 8}, \ 90 { 21, 9}, { 11, 8}, { 23, 7}, { 47, 8}, \ 91 { 27, 9}, { 15, 8}, { 35, 9}, { 19, 8}, \ 92 { 41, 9}, { 23, 8}, { 49, 9}, { 27,10}, \ 93 { 15, 9}, { 39, 8}, { 79, 9}, { 43,10}, \ 94 { 23, 9}, { 55,11}, { 15,10}, { 31, 9}, \ 95 { 71,10}, { 39, 9}, { 83,10}, { 47, 9}, \ 96 { 99,10}, { 55,11}, { 31,10}, { 79,11}, \ 97 { 47,10}, { 103,12}, { 31,11}, { 63,10}, \ 98 { 135,11}, { 79,10}, { 167,11}, { 95,10}, \ 99 { 191, 9}, { 383,10}, { 199,11}, { 111,12}, \ 100 { 63,11}, { 127,10}, { 255, 9}, { 511,10}, \ 101 { 271, 9}, { 543,11}, { 143,10}, { 287, 9}, \ 102 { 575,11}, { 159,12}, { 95,11}, { 191,10}, \ 103 { 383,13}, { 63,12}, { 127,11}, { 255,10}, \ 104 { 511,11}, { 271,10}, { 543,11}, { 287,10}, \ 105 { 575,11}, { 303,12}, { 159,11}, { 319,10}, \ 106 { 639,11}, { 335,10}, { 671,11}, { 351,10}, \ 107 { 703,12}, { 191,11}, { 383,10}, { 767,11}, \ 108 { 415,12}, { 223,11}, { 447,13}, { 127,12}, \ 109 { 255,11}, { 543,12}, { 287,11}, { 607,12}, \ 110 { 319,11}, { 671,12}, { 351,11}, { 703,13}, \ 111 { 191,12}, { 383,11}, { 767,12}, { 415,11}, \ 112 { 831,12}, { 479,14}, { 127,13}, { 255,12}, \ 113 { 543,11}, { 1087,12}, { 607,13}, { 319,12}, \ 114 { 671,11}, { 1343,12}, { 703,13}, { 383,12}, \ 115 { 831,13}, { 447,12}, { 959,13}, { 511,12}, \ 116 { 1087,13}, { 575,12}, { 1151,13}, { 639,12}, \ 117 { 1343,13}, { 703,14}, { 383,13}, { 767,12}, \ 118 { 1535,13}, { 831,12}, { 1727,13}, { 959,14}, \ 119 { 511,13}, { 1087,12}, { 2175,13}, { 1151,14}, \ 120 { 639,13}, { 1343,12}, { 2687,13}, { 1407,14}, \ 121 { 767,13}, { 1599,12}, { 3199,13}, { 1663,14}, \ 122 { 895,13}, { 1791,15}, { 511,14}, { 1023,13}, \ 123 { 2175,14}, { 1151,13}, { 2431,12}, { 4863,14}, \ 124 { 1279,13}, { 2687,14}, { 1407,13}, { 2815,15}, \ 125 { 767,14}, { 1535,13}, { 3199,14}, { 1663,13}, \ 126 { 3455,12}, { 6911,14}, { 1791,16}, { 511,15}, \ 127 { 1023,14}, { 2175,13}, { 4351,14}, { 2431,13}, \ 128 { 4863,15}, { 1279,14}, { 2943,13}, { 5887,15}, \ 129 { 1535,14}, { 3455,13}, { 6911,15}, { 1791,14}, \ 130 { 3839,13}, { 7679,16}, { 1023,15}, { 2047,14}, \ 131 { 4223,15}, { 2303,14}, { 4863,15}, { 2559,14}, \ 132 { 5247,15}, { 2815,14}, { 5887,16}, { 1535,15}, \ 133 { 3327,14}, { 6911,15}, { 3839,14}, { 7679,17}, \ 134 { 1023,16}, { 2047,15}, { 4351,14}, { 8703,15}, \ 135 { 4863,16}, { 2559,15}, { 5887,14}, { 11775,16}, \ 136 { 3071,15}, { 6911,16}, { 3583,15}, { 7679,14}, \ 137 { 15359,15}, { 7935,17}, { 2047,16}, { 4095,15}, \ 138 { 8703,16}, { 4607,15}, { 9983,14}, { 19967,16}, \ 139 { 5631,15}, { 11775,17}, { 3071,16}, \ 140 { 7679,15}, { 15359,18}, { 2047,17}, { 4095,16}, \ 141 { 9727,15}, { 19967,17}, { 5119,16}, { 11775,15}, \ 142 { 24063,17}, { 6143,16}, { 12799,17}, { 7167,16}, \ 143 { 65536,17}, { 131072,18}, { 262144,19}, { 524288,20}, \ 144 {1048576,21}, {2097152,22}, {4194304,23}, {8388608,24} } 145 #define MUL_FFT_TABLE3_SIZE 239 146 #define MUL_FFT_THRESHOLD 6272 147 148 #define SQR_FFT_MODF_THRESHOLD 400 /* k = 5 */ 149 #define SQR_FFT_TABLE3 \ 150 { { 400, 5}, { 25, 6}, { 13, 5}, { 27, 6}, \ 151 { 29, 7}, { 15, 6}, { 31, 7}, { 28, 8}, \ 152 { 15, 7}, { 32, 8}, { 17, 7}, { 35, 8}, \ 153 { 19, 7}, { 39, 8}, { 27, 9}, { 15, 8}, \ 154 { 33, 9}, { 19, 8}, { 39, 9}, { 23, 8}, \ 155 { 47, 9}, { 27,10}, { 15, 9}, { 39,10}, \ 156 { 23, 9}, { 51,11}, { 15,10}, { 31, 9}, \ 157 { 67,10}, { 39, 9}, { 79,10}, { 55,11}, \ 158 { 31,10}, { 79,11}, { 47,10}, { 95,12}, \ 159 { 31,11}, { 63,10}, { 135,11}, { 79,10}, \ 160 { 159, 9}, { 319,11}, { 95,12}, { 63,11}, \ 161 { 127,10}, { 255, 9}, { 511,10}, { 271,11}, \ 162 { 143,10}, { 287, 9}, { 575,10}, { 303,11}, \ 163 { 159,10}, { 319,12}, { 95,10}, { 383,13}, \ 164 { 63,12}, { 127,11}, { 255,10}, { 511,11}, \ 165 { 271,10}, { 543,11}, { 287,10}, { 575,11}, \ 166 { 303,10}, { 607,12}, { 159,11}, { 319,10}, \ 167 { 639,11}, { 335,10}, { 671,11}, { 351,10}, \ 168 { 703,11}, { 367,10}, { 735,11}, { 383,10}, \ 169 { 767,11}, { 415,10}, { 831,12}, { 223,11}, \ 170 { 479,13}, { 127,12}, { 255,11}, { 543,12}, \ 171 { 287,11}, { 607,12}, { 319,11}, { 671,12}, \ 172 { 351,11}, { 735,12}, { 383,11}, { 799,12}, \ 173 { 415,11}, { 831,12}, { 479,14}, { 127,13}, \ 174 { 255,12}, { 511,11}, { 1023,12}, { 607,13}, \ 175 { 319,12}, { 735,13}, { 383,12}, { 831,13}, \ 176 { 447,12}, { 959,13}, { 511,12}, { 1023,13}, \ 177 { 575,12}, { 1151,13}, { 639,12}, { 1279,13}, \ 178 { 703,12}, { 1407,14}, { 383,13}, { 767,12}, \ 179 { 1535,13}, { 831,12}, { 1727,13}, { 895,12}, \ 180 { 1791,13}, { 959,14}, { 511,13}, { 1087,12}, \ 181 { 2175,13}, { 1151,14}, { 639,13}, { 1343,12}, \ 182 { 2687,13}, { 1407,14}, { 767,13}, { 1599,12}, \ 183 { 3199,13}, { 1663,14}, { 895,13}, { 1791,15}, \ 184 { 511,14}, { 1023,13}, { 2175,14}, { 1151,13}, \ 185 { 2431,12}, { 4863,14}, { 1279,13}, { 2687,14}, \ 186 { 1407,15}, { 767,14}, { 1535,13}, { 3199,14}, \ 187 { 1663,13}, { 3455,14}, { 1791,16}, { 511,15}, \ 188 { 1023,14}, { 2431,13}, { 4863,15}, { 1279,14}, \ 189 { 2943,13}, { 5887,15}, { 1535,14}, { 3455,15}, \ 190 { 1791,14}, { 3839,16}, { 1023,15}, { 2047,14}, \ 191 { 4223,15}, { 2303,14}, { 4863,15}, { 2559,14}, \ 192 { 5119,15}, { 2815,14}, { 5887,16}, { 1535,15}, \ 193 { 3071,14}, { 6143,15}, { 3327,14}, { 6911,15}, \ 194 { 3839,17}, { 1023,16}, { 2047,15}, { 4863,16}, \ 195 { 2559,15}, { 5887,14}, { 11775,16}, { 3071,15}, \ 196 { 6911,16}, { 3583,15}, { 7679,14}, { 15359,17}, \ 197 { 2047,16}, { 4095,15}, { 8191,16}, { 4607,15}, \ 198 { 9983,14}, { 19967,16}, { 5631,15}, { 11775,17}, \ 199 { 3071,16}, { 7679,15}, { 15359,18}, { 2047,17}, \ 200 { 4095,16}, { 9727,15}, { 19967,17}, { 5119,16}, \ 201 { 11775,15}, { 23551,17}, { 6143,16}, { 12799,17}, \ 202 { 7167,16}, { 65536,17}, { 131072,18}, { 262144,19}, \ 203 { 524288,20}, {1048576,21}, {2097152,22}, {4194304,23}, \ 204 {8388608,24} } 205 #define SQR_FFT_TABLE3_SIZE 217 206 #define SQR_FFT_THRESHOLD 4224 207 208 #define MULLO_BASECASE_THRESHOLD 0 /* always */ 209 #define MULLO_DC_THRESHOLD 79 210 #define MULLO_MUL_N_THRESHOLD 11278 211 #define SQRLO_BASECASE_THRESHOLD 10 212 #define SQRLO_DC_THRESHOLD 109 213 #define SQRLO_SQR_THRESHOLD 8207 214 215 #define DC_DIV_QR_THRESHOLD 55 216 #define DC_DIVAPPR_Q_THRESHOLD 179 217 #define DC_BDIV_QR_THRESHOLD 82 218 #define DC_BDIV_Q_THRESHOLD 166 219 220 #define INV_MULMOD_BNM1_THRESHOLD 50 221 #define INV_NEWTON_THRESHOLD 170 222 #define INV_APPR_THRESHOLD 171 223 224 #define BINV_NEWTON_THRESHOLD 294 225 #define REDC_1_TO_REDC_2_THRESHOLD 33 226 #define REDC_2_TO_REDC_N_THRESHOLD 59 227 228 #define MU_DIV_QR_THRESHOLD 1528 229 #define MU_DIVAPPR_Q_THRESHOLD 1589 230 #define MUPI_DIV_QR_THRESHOLD 62 231 #define MU_BDIV_QR_THRESHOLD 1470 232 #define MU_BDIV_Q_THRESHOLD 1597 233 234 #define POWM_SEC_TABLE 2,8,191,452,904 235 236 #define GET_STR_DC_THRESHOLD 12 237 #define GET_STR_PRECOMPUTE_THRESHOLD 19 238 #define SET_STR_DC_THRESHOLD 898 239 #define SET_STR_PRECOMPUTE_THRESHOLD 1670 240 241 #define FAC_DSC_THRESHOLD 474 242 #define FAC_ODD_THRESHOLD 0 /* always */ 243 244 #define MATRIX22_STRASSEN_THRESHOLD 16 245 #define HGCD2_DIV1_METHOD 5 /* 3.85% faster than 3 */ 246 #define HGCD_THRESHOLD 64 247 #define HGCD_APPR_THRESHOLD 60 248 #define HGCD_REDUCE_THRESHOLD 2681 249 #define GCD_DC_THRESHOLD 618 250 #define GCDEXT_DC_THRESHOLD 321 251 #define JACOBI_BASE_METHOD 1 /* 12.01% faster than 4 */ 252 253 /* Tuneup completed successfully, took 213784 seconds */ 254