1 /* Sandy Bridge 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 /* 3400-3800 MHz Intel Xeon E3-1270 Sandy Bridge */
35 /* FFT tuning limit = 468,152,320 */
36 /* Generated by tuneup.c, 2019-10-20, gcc 8.3 */
37
38 #define MOD_1_NORM_THRESHOLD 0 /* always */
39 #define MOD_1_UNNORM_THRESHOLD 0 /* always */
40 #define MOD_1N_TO_MOD_1_1_THRESHOLD 4
41 #define MOD_1U_TO_MOD_1_1_THRESHOLD 2
42 #define MOD_1_1_TO_MOD_1_2_THRESHOLD 9
43 #define MOD_1_2_TO_MOD_1_4_THRESHOLD 24
44 #define PREINV_MOD_1_TO_MOD_1_THRESHOLD 8
45 #define USE_PREINV_DIVREM_1 1 /* native */
46 #define DIV_QR_1_NORM_THRESHOLD 1
47 #define DIV_QR_1_UNNORM_THRESHOLD MP_SIZE_T_MAX /* never */
48 #define DIV_QR_2_PI2_THRESHOLD MP_SIZE_T_MAX /* never */
49 #define DIVEXACT_1_THRESHOLD 0 /* always (native) */
50 #define BMOD_1_TO_MOD_1_THRESHOLD 30
51
52 #define DIV_1_VS_MUL_1_PERCENT 298
53
54 #define MUL_TOOM22_THRESHOLD 20
55 #define MUL_TOOM33_THRESHOLD 65
56 #define MUL_TOOM44_THRESHOLD 154
57 #define MUL_TOOM6H_THRESHOLD 254
58 #define MUL_TOOM8H_THRESHOLD 333
59
60 #define MUL_TOOM32_TO_TOOM43_THRESHOLD 105
61 #define MUL_TOOM32_TO_TOOM53_THRESHOLD 122
62 #define MUL_TOOM42_TO_TOOM53_THRESHOLD 105
63 #define MUL_TOOM42_TO_TOOM63_THRESHOLD 113
64 #define MUL_TOOM43_TO_TOOM54_THRESHOLD 148
65
66 #define SQR_BASECASE_THRESHOLD 0 /* always (native) */
67 #define SQR_TOOM2_THRESHOLD 28
68 #define SQR_TOOM3_THRESHOLD 93
69 #define SQR_TOOM4_THRESHOLD 248
70 #define SQR_TOOM6_THRESHOLD 342
71 #define SQR_TOOM8_THRESHOLD 462
72
73 #define MULMID_TOOM42_THRESHOLD 36
74
75 #define MULMOD_BNM1_THRESHOLD 13
76 #define SQRMOD_BNM1_THRESHOLD 15
77
78 #define MUL_FFT_MODF_THRESHOLD 396 /* k = 5 */
79 #define MUL_FFT_TABLE3 \
80 { { 396, 5}, { 19, 6}, { 10, 5}, { 21, 6}, \
81 { 11, 5}, { 23, 6}, { 21, 7}, { 11, 6}, \
82 { 25, 7}, { 13, 6}, { 27, 7}, { 21, 8}, \
83 { 11, 7}, { 25, 8}, { 13, 7}, { 28, 8}, \
84 { 15, 7}, { 31, 8}, { 17, 7}, { 35, 8}, \
85 { 21, 9}, { 11, 8}, { 27, 9}, { 15, 8}, \
86 { 35, 9}, { 19, 8}, { 39, 9}, { 23, 8}, \
87 { 49, 9}, { 27,10}, { 15, 9}, { 39,10}, \
88 { 23, 9}, { 51,11}, { 15,10}, { 31, 9}, \
89 { 67,10}, { 39, 9}, { 83,10}, { 47, 9}, \
90 { 95,11}, { 31,10}, { 79,11}, { 47,10}, \
91 { 95,12}, { 31,11}, { 63,10}, { 135,11}, \
92 { 79,10}, { 159, 9}, { 319,10}, { 167,11}, \
93 { 95, 7}, { 1535, 8}, { 831,10}, { 223, 9}, \
94 { 447,11}, { 127,10}, { 255, 9}, { 511,11}, \
95 { 143,10}, { 287, 9}, { 575,10}, { 303,11}, \
96 { 159,10}, { 319,12}, { 95,11}, { 191,10}, \
97 { 383,13}, { 63,12}, { 127,11}, { 255,10}, \
98 { 511,11}, { 271,10}, { 543,11}, { 287,10}, \
99 { 575,11}, { 303,12}, { 159,11}, { 319,10}, \
100 { 639,11}, { 351,10}, { 703,11}, { 367,12}, \
101 { 191,11}, { 383,10}, { 767,11}, { 415,10}, \
102 { 831,12}, { 223,11}, { 447,10}, { 895,11}, \
103 { 479,13}, { 127,12}, { 255,11}, { 543,12}, \
104 { 287,11}, { 607,12}, { 319,11}, { 639,12}, \
105 { 351,11}, { 703,12}, { 383,11}, { 767,12}, \
106 { 415,11}, { 831,12}, { 447,11}, { 895,12}, \
107 { 479,14}, { 127,13}, { 255,12}, { 543,11}, \
108 { 1087,12}, { 607,13}, { 319,12}, { 735,13}, \
109 { 383,12}, { 831,13}, { 447,12}, { 959,14}, \
110 { 255,13}, { 511,12}, { 1087,13}, { 575,12}, \
111 { 1215,13}, { 639,12}, { 1279,13}, { 703,12}, \
112 { 1407,14}, { 383,13}, { 767,12}, { 1535,13}, \
113 { 831,12}, { 1663,13}, { 959,15}, { 255,14}, \
114 { 511,13}, { 1087,12}, { 2175,13}, { 1215,14}, \
115 { 639,13}, { 1343,12}, { 2687,13}, { 1407,12}, \
116 { 2815,13}, { 1471,14}, { 767,13}, { 1663,14}, \
117 { 895,13}, { 1919,15}, { 511,14}, { 1023,13}, \
118 { 2175,14}, { 1151,13}, { 2431,12}, { 4863,14}, \
119 { 1279,13}, { 2687,14}, { 1407,13}, { 2815,15}, \
120 { 767,14}, { 1535,13}, { 3071,14}, { 1663,13}, \
121 { 3455,12}, { 6911,14}, { 1919,16}, { 511,15}, \
122 { 1023,14}, { 2431,13}, { 4863,15}, { 1279,14}, \
123 { 2943,13}, { 5887,15}, { 1535,14}, { 3455,13}, \
124 { 6911,15}, { 1791,14}, { 3839,13}, { 7679,16}, \
125 { 1023,15}, { 2047,14}, { 4223,15}, { 2303,14}, \
126 { 4863,15}, { 2815,14}, { 5887,16}, { 1535,15}, \
127 { 3327,14}, { 6911,15}, { 3839,14}, { 7679,17}, \
128 { 1023,16}, { 2047,15}, { 4863,16}, { 2559,15}, \
129 { 5887,14}, { 11775,16}, { 3071,15}, { 6911,16}, \
130 { 3583,15}, { 7679,14}, { 15359,17}, { 2047,16}, \
131 { 4095,15}, { 8191,16}, { 4607,15}, { 9983,16}, \
132 { 5631,15}, { 11775,17}, { 3071,16}, { 65536,17}, \
133 { 131072,18}, { 262144,19}, { 524288,20}, {1048576,21}, \
134 {2097152,22}, {4194304,23}, {8388608,24} }
135 #define MUL_FFT_TABLE3_SIZE 219
136 #define MUL_FFT_THRESHOLD 4736
137
138 #define SQR_FFT_MODF_THRESHOLD 336 /* k = 5 */
139 #define SQR_FFT_TABLE3 \
140 { { 336, 5}, { 19, 6}, { 10, 5}, { 21, 6}, \
141 { 11, 5}, { 23, 6}, { 25, 7}, { 13, 6}, \
142 { 27, 7}, { 25, 8}, { 13, 7}, { 28, 8}, \
143 { 15, 7}, { 31, 8}, { 21, 9}, { 11, 8}, \
144 { 27, 9}, { 15, 8}, { 35, 9}, { 19, 8}, \
145 { 41, 9}, { 23, 8}, { 47, 9}, { 27,10}, \
146 { 15, 9}, { 39,10}, { 23, 9}, { 51,11}, \
147 { 15,10}, { 31, 9}, { 67,10}, { 39, 9}, \
148 { 79,10}, { 47,11}, { 31,10}, { 79,11}, \
149 { 47,10}, { 95,12}, { 31,11}, { 63,10}, \
150 { 127, 9}, { 255,10}, { 135,11}, { 79,10}, \
151 { 159, 9}, { 319,11}, { 95,10}, { 191, 9}, \
152 { 383,12}, { 63,11}, { 127,10}, { 255, 6}, \
153 { 4351, 7}, { 2303, 8}, { 1215,12}, { 95,11}, \
154 { 191,10}, { 383,13}, { 63,12}, { 127,11}, \
155 { 255,10}, { 511,11}, { 271,10}, { 543,11}, \
156 { 287,10}, { 575,11}, { 303,10}, { 607,12}, \
157 { 159,11}, { 319,10}, { 639,11}, { 335,10}, \
158 { 671,11}, { 351,10}, { 703,12}, { 191,11}, \
159 { 383,10}, { 767,11}, { 415,10}, { 831,12}, \
160 { 223,11}, { 447,10}, { 895,11}, { 479,13}, \
161 { 127,12}, { 255,11}, { 543,12}, { 287,11}, \
162 { 607,12}, { 319,11}, { 671,12}, { 351,11}, \
163 { 703,13}, { 191,12}, { 383,11}, { 767,12}, \
164 { 415,11}, { 831,12}, { 447,11}, { 895,12}, \
165 { 479,14}, { 127,13}, { 255,12}, { 511,11}, \
166 { 1023,12}, { 543,11}, { 1087,12}, { 607,13}, \
167 { 319,12}, { 703,13}, { 383,12}, { 831,13}, \
168 { 447,12}, { 959,14}, { 255,13}, { 511,12}, \
169 { 1087,13}, { 575,12}, { 1215,13}, { 639,12}, \
170 { 1279,13}, { 703,14}, { 383,13}, { 767,12}, \
171 { 1535,13}, { 831,12}, { 1663,13}, { 959,14}, \
172 { 511,13}, { 1087,12}, { 2175,13}, { 1215,14}, \
173 { 639,13}, { 1343,12}, { 2687,13}, { 1407,12}, \
174 { 2815,13}, { 1471,14}, { 767,13}, { 1599,12}, \
175 { 3199,13}, { 1663,14}, { 895,13}, { 1791,15}, \
176 { 511,14}, { 1023,13}, { 2175,14}, { 1151,13}, \
177 { 2431,12}, { 4863,14}, { 1279,13}, { 2687,14}, \
178 { 1407,13}, { 2815,15}, { 767,14}, { 1535,13}, \
179 { 3199,14}, { 1663,13}, { 3455,12}, { 6911,14}, \
180 { 1791,16}, { 511,15}, { 1023,14}, { 2431,13}, \
181 { 4863,15}, { 1279,14}, { 2943,13}, { 5887,15}, \
182 { 1535,14}, { 3455,13}, { 6911,15}, { 1791,14}, \
183 { 3839,16}, { 1023,15}, { 2047,14}, { 4223,15}, \
184 { 2303,14}, { 4863,15}, { 2815,14}, { 5887,16}, \
185 { 1535,15}, { 3327,14}, { 6911,15}, { 3839,17}, \
186 { 1023,16}, { 2047,15}, { 4863,16}, { 2559,15}, \
187 { 5887,14}, { 11775,16}, { 3071,15}, { 6911,16}, \
188 { 3583,15}, { 7679,14}, { 15359,17}, { 2047,16}, \
189 { 4607,15}, { 9983,14}, { 19967,16}, { 5631,15}, \
190 { 11775,17}, { 3071,16}, { 65536,17}, { 131072,18}, \
191 { 262144,19}, { 524288,20}, {1048576,21}, {2097152,22}, \
192 {4194304,23}, {8388608,24} }
193 #define SQR_FFT_TABLE3_SIZE 210
194 #define SQR_FFT_THRESHOLD 3264
195
196 #define MULLO_BASECASE_THRESHOLD 0 /* always */
197 #define MULLO_DC_THRESHOLD 62
198 #define MULLO_MUL_N_THRESHOLD 8907
199 #define SQRLO_BASECASE_THRESHOLD 9
200 #define SQRLO_DC_THRESHOLD 66
201 #define SQRLO_SQR_THRESHOLD 6440
202
203 #define DC_DIV_QR_THRESHOLD 52
204 #define DC_DIVAPPR_Q_THRESHOLD 172
205 #define DC_BDIV_QR_THRESHOLD 46
206 #define DC_BDIV_Q_THRESHOLD 92
207
208 #define INV_MULMOD_BNM1_THRESHOLD 46
209 #define INV_NEWTON_THRESHOLD 170
210 #define INV_APPR_THRESHOLD 167
211
212 #define BINV_NEWTON_THRESHOLD 228
213 #define REDC_1_TO_REDC_2_THRESHOLD 36
214 #define REDC_2_TO_REDC_N_THRESHOLD 55
215
216 #define MU_DIV_QR_THRESHOLD 1387
217 #define MU_DIVAPPR_Q_THRESHOLD 1387
218 #define MUPI_DIV_QR_THRESHOLD 77
219 #define MU_BDIV_QR_THRESHOLD 1187
220 #define MU_BDIV_Q_THRESHOLD 1442
221
222 #define POWM_SEC_TABLE 1,16,191,452,1297
223
224 #define GET_STR_DC_THRESHOLD 14
225 #define GET_STR_PRECOMPUTE_THRESHOLD 21
226 #define SET_STR_DC_THRESHOLD 1160
227 #define SET_STR_PRECOMPUTE_THRESHOLD 2043
228
229 #define FAC_DSC_THRESHOLD 426
230 #define FAC_ODD_THRESHOLD 24
231
232 #define MATRIX22_STRASSEN_THRESHOLD 14
233 #define HGCD2_DIV1_METHOD 5 /* 0.74% faster than 3 */
234 #define HGCD_THRESHOLD 96
235 #define HGCD_APPR_THRESHOLD 60
236 #define HGCD_REDUCE_THRESHOLD 2681
237 #define GCD_DC_THRESHOLD 465
238 #define GCDEXT_DC_THRESHOLD 345
239 #define JACOBI_BASE_METHOD 1 /* 32.22% faster than 4 */
240
241 /* Tuneup completed successfully, took 276198 seconds */