1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
|
/* gmp-mparam.h -- Compiler/machine parameter header file.
Copyright 2020 Free Software Foundation, Inc.
This file is part of the GNU MP Library.
The GNU MP Library is free software; you can redistribute it and/or modify
it under the terms of either:
* the GNU Lesser General Public License as published by the Free
Software Foundation; either version 3 of the License, or (at your
option) any later version.
or
* the GNU General Public License as published by the Free Software
Foundation; either version 2 of the License, or (at your option) any
later version.
or both in parallel, as here.
The GNU MP Library is distributed in the hope that it will be useful, but
WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
for more details.
You should have received copies of the GNU General Public License and the
GNU Lesser General Public License along with the GNU MP Library. If not,
see https://www.gnu.org/licenses/. */
#define GMP_LIMB_BITS 64
#define GMP_LIMB_BYTES 8
/* 3200 MHz Apple M1 */
/* FFT tuning limit = 1 M */
/* Generated by tuneup.c, 2020-12-25, gcc 4.2 */
#define MOD_1_1P_METHOD 2 /* 42.96% faster than 1 */
#define MOD_1_NORM_THRESHOLD 0 /* always */
#define MOD_1_UNNORM_THRESHOLD 0 /* always */
#define MOD_1N_TO_MOD_1_1_THRESHOLD 5
#define MOD_1U_TO_MOD_1_1_THRESHOLD 3
#define MOD_1_1_TO_MOD_1_2_THRESHOLD 11
#define MOD_1_2_TO_MOD_1_4_THRESHOLD 18
#define PREINV_MOD_1_TO_MOD_1_THRESHOLD 11
#define USE_PREINV_DIVREM_1 1 /* native */
/* From m1.gmplib.org, 2023-07-21 */
#define DIV_QR_1N_PI1_METHOD 3 /* 13.35% faster than 1 */
#define DIV_QR_1_NORM_THRESHOLD 2
#define DIV_QR_1_UNNORM_THRESHOLD 1
#define DIV_QR_2_PI2_THRESHOLD 9
#define DIVEXACT_1_THRESHOLD 0 /* always */
#define BMOD_1_TO_MOD_1_THRESHOLD 28
#define DIV_1_VS_MUL_1_PERCENT 659
#define MUL_TOOM22_THRESHOLD 26
#define MUL_TOOM33_THRESHOLD 77
#define MUL_TOOM44_THRESHOLD 153
#define MUL_TOOM6H_THRESHOLD 446
#define MUL_TOOM8H_THRESHOLD 626
#define MUL_TOOM32_TO_TOOM43_THRESHOLD 94
#define MUL_TOOM32_TO_TOOM53_THRESHOLD 81
#define MUL_TOOM42_TO_TOOM53_THRESHOLD 41
#define MUL_TOOM42_TO_TOOM63_THRESHOLD 99
#define MUL_TOOM43_TO_TOOM54_THRESHOLD 133
#define SQR_BASECASE_THRESHOLD 0 /* always (native) */
#define SQR_TOOM2_THRESHOLD 47
#define SQR_TOOM3_THRESHOLD 74
#define SQR_TOOM4_THRESHOLD 372
#define SQR_TOOM6_THRESHOLD 462
#define SQR_TOOM8_THRESHOLD 592
#define MULMID_TOOM42_THRESHOLD 44
#define MULMOD_BNM1_THRESHOLD 9
#define SQRMOD_BNM1_THRESHOLD 11
#define MUL_FFT_MODF_THRESHOLD 216 /* k = 5 */
#define MUL_FFT_TABLE3 \
{ { 216, 5}, { 7, 4}, { 19, 5}, { 19, 6}, \
{ 10, 5}, { 21, 6}, { 21, 7}, { 11, 6}, \
{ 23, 7}, { 21, 8}, { 11, 7}, { 24, 8}, \
{ 21, 9}, { 11, 8}, { 27, 9}, { 15, 8}, \
{ 33, 9}, { 19, 8}, { 39, 9}, { 23, 8}, \
{ 47, 9}, { 27,10}, { 15, 9}, { 39,10}, \
{ 23, 9}, { 47,11}, { 15,10}, { 31, 9}, \
{ 63,10}, { 39, 9}, { 79,10}, { 55,11}, \
{ 31,10}, { 79,11}, { 47,12}, { 31,11}, \
{ 63,10}, { 127, 9}, { 255, 8}, { 511,11}, \
{ 79,10}, { 159, 9}, { 319, 8}, { 639,11}, \
{ 95,10}, { 191, 9}, { 383,12}, { 63,11}, \
{ 127,10}, { 255, 9}, { 511, 8}, { 1023,10}, \
{ 271, 9}, { 543, 8}, { 1087,11}, { 143,10}, \
{ 287, 9}, { 575, 8}, { 1151,11}, { 159,10}, \
{ 319, 9}, { 639,12}, { 95,11}, { 191,10}, \
{ 383,13}, { 63,12}, { 127,11}, { 255,10}, \
{ 511, 9}, { 1023,11}, { 271,10}, { 543, 9}, \
{ 1087, 8}, { 2175,11}, { 287,10}, { 575, 9}, \
{ 1151,12}, { 159,11}, { 319,10}, { 639, 9}, \
{ 1279,11}, { 351,10}, { 703, 9}, { 1407,12}, \
{ 191,11}, { 383,10}, { 767,11}, { 415,12}, \
{ 223,11}, { 447,10}, { 895,11}, { 479,10}, \
{ 959,13}, { 8192,14}, { 16384,15}, { 32768,16}, \
{ 65536,17}, { 131072,18}, { 262144,19}, { 524288,20}, \
{1048576,21}, {2097152,22}, {4194304,23}, {8388608,24} }
#define MUL_FFT_TABLE3_SIZE 104
#define MUL_FFT_THRESHOLD 2368
#define SQR_FFT_MODF_THRESHOLD 304 /* k = 5 */
#define SQR_FFT_TABLE3 \
{ { 304, 5}, { 10, 4}, { 21, 5}, { 11, 4}, \
{ 23, 5}, { 19, 6}, { 10, 5}, { 21, 6}, \
{ 21, 7}, { 11, 6}, { 23, 7}, { 21, 8}, \
{ 11, 7}, { 24, 8}, { 15, 7}, { 31, 8}, \
{ 21, 9}, { 11, 8}, { 27, 9}, { 15, 8}, \
{ 33, 9}, { 19, 8}, { 39, 9}, { 23, 8}, \
{ 47, 9}, { 27,10}, { 15, 9}, { 39,10}, \
{ 23, 9}, { 47,11}, { 15,10}, { 31, 9}, \
{ 63,10}, { 39, 9}, { 79,10}, { 47,11}, \
{ 31,10}, { 79,11}, { 47,12}, { 31,11}, \
{ 63,10}, { 127, 9}, { 255, 8}, { 511,11}, \
{ 79,10}, { 159, 9}, { 319, 8}, { 639,11}, \
{ 95,10}, { 191, 9}, { 383,12}, { 63,10}, \
{ 255, 9}, { 511, 8}, { 1023,10}, { 271, 9}, \
{ 543, 8}, { 1087,10}, { 287, 9}, { 575, 8}, \
{ 1151,11}, { 159,10}, { 319, 9}, { 639,11}, \
{ 175,12}, { 95,11}, { 191,10}, { 383, 9}, \
{ 767,13}, { 63,12}, { 127,11}, { 255,10}, \
{ 511, 9}, { 1023,11}, { 271,10}, { 543, 9}, \
{ 1087, 8}, { 2175,10}, { 575, 9}, { 1151,11}, \
{ 303,12}, { 159,11}, { 319,10}, { 639, 9}, \
{ 1279,11}, { 351,10}, { 703, 9}, { 1407,12}, \
{ 191,11}, { 383,10}, { 767,11}, { 415,10}, \
{ 831, 9}, { 1663,12}, { 223,11}, { 447,10}, \
{ 895,11}, { 479,10}, { 959, 9}, { 1919,13}, \
{ 8192,14}, { 16384,15}, { 32768,16}, { 65536,17}, \
{ 131072,18}, { 262144,19}, { 524288,20}, {1048576,21}, \
{2097152,22}, {4194304,23}, {8388608,24} }
#define SQR_FFT_TABLE3_SIZE 111
#define SQR_FFT_THRESHOLD 1856
#define MULLO_BASECASE_THRESHOLD 0 /* always */
#define MULLO_DC_THRESHOLD 76
#define MULLO_MUL_N_THRESHOLD 4292
#define SQRLO_BASECASE_THRESHOLD 6
#define SQRLO_DC_THRESHOLD 186
#define SQRLO_SQR_THRESHOLD 3688
#define DC_DIV_QR_THRESHOLD 67
#define DC_DIVAPPR_Q_THRESHOLD 242
#define DC_BDIV_QR_THRESHOLD 68
#define DC_BDIV_Q_THRESHOLD 129
#define INV_MULMOD_BNM1_THRESHOLD 82
#define INV_NEWTON_THRESHOLD 157
#define INV_APPR_THRESHOLD 157
#define BINV_NEWTON_THRESHOLD 99
#define REDC_1_TO_REDC_N_THRESHOLD 68
#define MU_DIV_QR_THRESHOLD 979
#define MU_DIVAPPR_Q_THRESHOLD 1210
#define MUPI_DIV_QR_THRESHOLD 76
#define MU_BDIV_QR_THRESHOLD 942
#define MU_BDIV_Q_THRESHOLD 1341
#define POWM_SEC_TABLE 11,75,137,712,2177
#define GET_STR_DC_THRESHOLD 12
#define GET_STR_PRECOMPUTE_THRESHOLD 18
#define SET_STR_DC_THRESHOLD 632
#define SET_STR_PRECOMPUTE_THRESHOLD 1215
#define FAC_DSC_THRESHOLD 252
#define FAC_ODD_THRESHOLD 0 /* always */
#define MATRIX22_STRASSEN_THRESHOLD 9
#define HGCD2_DIV1_METHOD 1 /* 8.52% faster than 3 */
#define HGCD_THRESHOLD 131
#define HGCD_APPR_THRESHOLD 144
#define HGCD_REDUCE_THRESHOLD 1962
#define GCD_DC_THRESHOLD 435
#define GCDEXT_DC_THRESHOLD 199
#define JACOBI_BASE_METHOD 4 /* 0.80% faster than 1 */
|
