(root)/
gmp-6.3.0/
mpn/
x86/
skylake/
gmp-mparam.h
       1  /* x86/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 32
      32  #define GMP_LIMB_BYTES 4
      33  
      34  /* 3600-4000 MHz Intel Xeon E3-1270v5 Skylake */
      35  /* FFT tuning limit = 67,000,000 */
      36  /* Generated by tuneup.c, 2019-10-21, gcc 8.3 */
      37  
      38  #define MOD_1_NORM_THRESHOLD                15
      39  #define MOD_1_UNNORM_THRESHOLD              16
      40  #define MOD_1N_TO_MOD_1_1_THRESHOLD         10
      41  #define MOD_1U_TO_MOD_1_1_THRESHOLD          8
      42  #define MOD_1_1_TO_MOD_1_2_THRESHOLD         0  /* never mpn_mod_1_1p */
      43  #define MOD_1_2_TO_MOD_1_4_THRESHOLD        10
      44  #define PREINV_MOD_1_TO_MOD_1_THRESHOLD      9
      45  #define USE_PREINV_DIVREM_1                  1  /* native */
      46  #define DIV_QR_1N_PI1_METHOD                 1  /* 5.63% faster than 2 */
      47  #define DIV_QR_1_NORM_THRESHOLD             12
      48  #define DIV_QR_1_UNNORM_THRESHOLD        MP_SIZE_T_MAX  /* never */
      49  #define DIV_QR_2_PI2_THRESHOLD              17
      50  #define DIVEXACT_1_THRESHOLD                 0  /* always (native) */
      51  #define BMOD_1_TO_MOD_1_THRESHOLD           18
      52  
      53  #define DIV_1_VS_MUL_1_PERCENT             348
      54  
      55  #define MUL_TOOM22_THRESHOLD                24
      56  #define MUL_TOOM33_THRESHOLD                81
      57  #define MUL_TOOM44_THRESHOLD               208
      58  #define MUL_TOOM6H_THRESHOLD               303
      59  #define MUL_TOOM8H_THRESHOLD               454
      60  
      61  #define MUL_TOOM32_TO_TOOM43_THRESHOLD      81
      62  #define MUL_TOOM32_TO_TOOM53_THRESHOLD     149
      63  #define MUL_TOOM42_TO_TOOM53_THRESHOLD     137
      64  #define MUL_TOOM42_TO_TOOM63_THRESHOLD     145
      65  #define MUL_TOOM43_TO_TOOM54_THRESHOLD     196
      66  
      67  #define SQR_BASECASE_THRESHOLD               0  /* always (native) */
      68  #define SQR_TOOM2_THRESHOLD                 40
      69  #define SQR_TOOM3_THRESHOLD                129
      70  #define SQR_TOOM4_THRESHOLD                220
      71  #define SQR_TOOM6_THRESHOLD                354
      72  #define SQR_TOOM8_THRESHOLD                608
      73  
      74  #define MULMID_TOOM42_THRESHOLD             72
      75  
      76  #define MULMOD_BNM1_THRESHOLD               17
      77  #define SQRMOD_BNM1_THRESHOLD               21
      78  
      79  #define MUL_FFT_MODF_THRESHOLD             530  /* k = 5 */
      80  #define MUL_FFT_TABLE3                                      \
      81    { {    530, 5}, {     29, 6}, {     15, 5}, {     31, 6}, \
      82      {     29, 7}, {     15, 6}, {     33, 7}, {     17, 6}, \
      83      {     36, 7}, {     19, 6}, {     39, 7}, {     21, 6}, \
      84      {     43, 7}, {     23, 6}, {     47, 7}, {     29, 8}, \
      85      {     15, 7}, {     35, 8}, {     19, 7}, {     43, 8}, \
      86      {     23, 7}, {     49, 8}, {     27, 7}, {     55, 9}, \
      87      {     15, 8}, {     31, 7}, {     63, 8}, {     43, 9}, \
      88      {     23, 8}, {     51, 9}, {     31, 8}, {     67, 9}, \
      89      {     39, 8}, {     83, 9}, {     47, 8}, {     95, 9}, \
      90      {     55,10}, {     31, 9}, {     79,10}, {     47, 9}, \
      91      {     95,11}, {     31,10}, {     63, 9}, {    135,10}, \
      92      {     79, 9}, {    159,10}, {     95, 9}, {    191,10}, \
      93      {    111,11}, {     63,10}, {    143, 9}, {    287,10}, \
      94      {    159,11}, {     95,10}, {    191,12}, {     63,11}, \
      95      {    127,10}, {    255, 9}, {    511,10}, {    271, 9}, \
      96      {    543,10}, {    287,11}, {    159,10}, {    351,11}, \
      97      {    191,10}, {    415,12}, {    127,11}, {    255,10}, \
      98      {    543,11}, {    287,10}, {    607,11}, {    319,10}, \
      99      {    671,11}, {    351,12}, {    191,11}, {    383,10}, \
     100      {    799,11}, {    415,13}, {    127,12}, {    255,11}, \
     101      {    543,10}, {   1087,11}, {    607,12}, {    319,11}, \
     102      {    671,10}, {   1343,11}, {    735,12}, {    383,11}, \
     103      {    799,10}, {   1599,11}, {    863,12}, {    447,11}, \
     104      {    959,13}, {    255,12}, {    511,11}, {   1087,12}, \
     105      {    575,11}, {   1215,12}, {    639,11}, {   1343,12}, \
     106      {    703,13}, {    383,12}, {    767,11}, {   1599,12}, \
     107      {    831,11}, {   1727,12}, {    959,14}, {    255,13}, \
     108      {    511,12}, {   1087,11}, {   2239,12}, {   1215,11}, \
     109      {   2431,13}, {    639,12}, {   1471,13}, {    767,12}, \
     110      {   1727,13}, {    895,12}, {   1919,14}, {    511,13}, \
     111      {   1023,12}, {   2239,13}, {   1151,12}, {   2431,13}, \
     112      {   1279,12}, {   2623,13}, {   1407,12}, {   2815,14}, \
     113      {    767,13}, {   1663,12}, {   3455,13}, {   1919,15}, \
     114      {    511,14}, {   1023,13}, {   2175,12}, {   4479,13}, \
     115      {   2431,14}, {   1279,13}, {   2943,12}, {   5887,14}, \
     116      {   1535,13}, {   3455,14}, {   1791,13}, {   3967,15}, \
     117      {   1023,14}, {   2047,13}, {   4479,14}, {   2303,13}, \
     118      {   4991,12}, {   9983,14}, {   2815,13}, {   5887,15}, \
     119      {   1535,14}, {   3839,16} }
     120  #define MUL_FFT_TABLE3_SIZE 154
     121  #define MUL_FFT_THRESHOLD                 6784
     122  
     123  #define SQR_FFT_MODF_THRESHOLD             460  /* k = 5 */
     124  #define SQR_FFT_TABLE3                                      \
     125    { {    460, 5}, {     29, 6}, {     15, 5}, {     31, 6}, \
     126      {     29, 7}, {     15, 6}, {     33, 7}, {     17, 6}, \
     127      {     36, 7}, {     19, 6}, {     39, 7}, {     29, 8}, \
     128      {     15, 7}, {     35, 8}, {     19, 7}, {     41, 8}, \
     129      {     23, 7}, {     49, 8}, {     27, 7}, {     55, 9}, \
     130      {     15, 8}, {     31, 7}, {     63, 8}, {     43, 9}, \
     131      {     23, 8}, {     55,10}, {     15, 9}, {     31, 8}, \
     132      {     67, 9}, {     39, 8}, {     79, 9}, {     47, 8}, \
     133      {     95, 9}, {     55,10}, {     31, 9}, {     79,10}, \
     134      {     47, 9}, {     95,11}, {     31,10}, {     63, 9}, \
     135      {    135,10}, {     79, 9}, {    159,10}, {     95,11}, \
     136      {     63,10}, {    127, 9}, {    255,10}, {    143, 9}, \
     137      {    287,10}, {    159,11}, {     95,12}, {     63,11}, \
     138      {    127,10}, {    271, 9}, {    543,10}, {    287,11}, \
     139      {    159,10}, {    319, 9}, {    639,10}, {    351,11}, \
     140      {    191,10}, {    415,12}, {    127,11}, {    255,10}, \
     141      {    543,11}, {    287,10}, {    575,11}, {    319,10}, \
     142      {    671,11}, {    351,10}, {    703,12}, {    191,11}, \
     143      {    383,10}, {    799,11}, {    415,10}, {    831,13}, \
     144      {    127,12}, {    255,11}, {    511,10}, {   1023,11}, \
     145      {    543,10}, {   1087,11}, {    607,12}, {    319,11}, \
     146      {    671,10}, {   1343,11}, {    735,12}, {    383,11}, \
     147      {    799,10}, {   1599,11}, {    863,12}, {    447,11}, \
     148      {    927,13}, {    255,12}, {    511,11}, {   1087,12}, \
     149      {    575,11}, {   1215,12}, {    639,11}, {   1343,12}, \
     150      {    703,11}, {   1407,13}, {    383,12}, {    767,11}, \
     151      {   1599,12}, {    831,11}, {   1727,12}, {    895,11}, \
     152      {   1791,14}, {    255,13}, {    511,12}, {   1087,11}, \
     153      {   2239,12}, {   1215,13}, {    639,12}, {   1471,13}, \
     154      {    767,12}, {   1727,13}, {    895,12}, {   1919,14}, \
     155      {    511,13}, {   1023,12}, {   2239,13}, {   1151,12}, \
     156      {   2431,13}, {   1279,12}, {   2623,13}, {   1407,12}, \
     157      {   2815,14}, {    767,13}, {   1663,12}, {   3455,13}, \
     158      {   1919,15}, {    511,14}, {   1023,13}, {   2175,12}, \
     159      {   4479,13}, {   2431,14}, {   1279,13}, {   2943,12}, \
     160      {   5887,14}, {   1535,13}, {   3455,14}, {   1791,13}, \
     161      {   3967,15}, {   1023,14}, {   2047,13}, {   4479,14}, \
     162      {   2303,13}, {   4991,12}, {   9983,14}, {   2815,13}, \
     163      {   5887,15}, {   1535,14}, {   3839,16} }
     164  #define SQR_FFT_TABLE3_SIZE 155
     165  #define SQR_FFT_THRESHOLD                 5568
     166  
     167  #define MULLO_BASECASE_THRESHOLD             0  /* always */
     168  #define MULLO_DC_THRESHOLD                  68
     169  #define MULLO_MUL_N_THRESHOLD            13555
     170  #define SQRLO_BASECASE_THRESHOLD             0  /* always */
     171  #define SQRLO_DC_THRESHOLD                 117
     172  #define SQRLO_SQR_THRESHOLD              10988
     173  
     174  #define DC_DIV_QR_THRESHOLD                 42
     175  #define DC_DIVAPPR_Q_THRESHOLD             163
     176  #define DC_BDIV_QR_THRESHOLD                66
     177  #define DC_BDIV_Q_THRESHOLD                160
     178  
     179  #define INV_MULMOD_BNM1_THRESHOLD           46
     180  #define INV_NEWTON_THRESHOLD               165
     181  #define INV_APPR_THRESHOLD                 157
     182  
     183  #define BINV_NEWTON_THRESHOLD              300
     184  #define REDC_1_TO_REDC_N_THRESHOLD          68
     185  
     186  #define MU_DIV_QR_THRESHOLD               1718
     187  #define MU_DIVAPPR_Q_THRESHOLD            1685
     188  #define MUPI_DIV_QR_THRESHOLD               62
     189  #define MU_BDIV_QR_THRESHOLD              1589
     190  #define MU_BDIV_Q_THRESHOLD               1830
     191  
     192  #define POWM_SEC_TABLE  1,17,129,547,1317
     193  
     194  #define GET_STR_DC_THRESHOLD                10
     195  #define GET_STR_PRECOMPUTE_THRESHOLD        16
     196  #define SET_STR_DC_THRESHOLD               354
     197  #define SET_STR_PRECOMPUTE_THRESHOLD       860
     198  
     199  #define FAC_DSC_THRESHOLD                  141
     200  #define FAC_ODD_THRESHOLD                   34
     201  
     202  #define MATRIX22_STRASSEN_THRESHOLD         20
     203  #define HGCD2_DIV1_METHOD                    5  /* 1.04% faster than 3 */
     204  #define HGCD_THRESHOLD                     114
     205  #define HGCD_APPR_THRESHOLD                132
     206  #define HGCD_REDUCE_THRESHOLD             3524
     207  #define GCD_DC_THRESHOLD                   474
     208  #define GCDEXT_DC_THRESHOLD                379
     209  #define JACOBI_BASE_METHOD                   1  /* 27.39% faster than 4 */
     210  
     211  /* Tuneup completed successfully, took 31721 seconds */