1 /* Various Thresholds of MPFR, not exported. -*- mode: C -*-
2
3 Copyright 2005-2023 Free Software Foundation, Inc.
4
5 This file is part of the GNU MPFR Library.
6
7 The GNU MPFR Library is free software; you can redistribute it and/or modify
8 it under the terms of the GNU Lesser General Public License as published by
9 the Free Software Foundation; either version 3 of the License, or (at your
10 option) any later version.
11
12 The GNU MPFR Library is distributed in the hope that it will be useful, but
13 WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
14 or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public
15 License for more details.
16
17 You should have received a copy of the GNU Lesser General Public License
18 along with the GNU MPFR Library; see the file COPYING.LESSER. If not, see
19 https://www.gnu.org/licenses/ or write to the Free Software Foundation, Inc.,
20 51 Franklin St, Fifth Floor, Boston, MA 02110-1301, USA. */
21
22 /* Generated by MPFR's tuneup.c, 2018-02-22, gcc 6.3.0 */
23 /* gcc14.fsffrance.org (Intel(R) Xeon(R) CPU X5450 @ 3.00GHz) with gmp 6.1.2 */
24
25 #define MPFR_MULHIGH_TAB \
26 -1,0,-1,0,0,0,0,0,0,0,0,0,9,9,9,9, \
27 10,10,11,12,13,12,13,14,15,16,17,18,17,18,19,20, \
28 23,24,24,24,24,26,26,28,28,24,24,24,28,30,28,28, \
29 32,32,30,32,32,34,36,36,36,34,38,38,40,38,40,40, \
30 48,48,46,48,48,48,48,48,48,48,48,48,48,52,56,56, \
31 56,56,56,56,56,60,60,60,64,56,56,64,64,60,60,60, \
32 64,64,64,64,75,64,75,64,64,69,75,75,64,81,84,84, \
33 80,81,81,80,81,81,81,84,87,87,87,87,84,92,87,81, \
34 81,90,93,92,93,93,87,90,90,93,92,93,93,93,92,93, \
35 92,93,104,93,105,93,99,105,105,104,105,108,105,105,108,105, \
36 105,108,110,111,111,110,111,114,117,114,117,116,105,117,116,117, \
37 141,141,141,141,141,141,141,141,140,141,141,141,141,141,141,141, \
38 140,141,141,141,141,141,141,141,141,140,141,141,141,153,140,140, \
39 141,141,141,141,141,141,165,165,165,165,165,153,165,165,165,165, \
40 153,165,165,165,165,177,165,188,165,165,188,165,165,188,165,165, \
41 188,188,165,188,188,188,188,188,188,188,188,188,188,188,186,188, \
42 188,188,188,188,188,188,188,188,188,188,188,188,188,188,188,204, \
43 204,188,204,204,204,204,204,202,204,204,204,204,220,220,220,208, \
44 203,204,204,220,220,220,220,220,220,220,220,220,220,220,220,220, \
45 220,220,220,236,236,236,236,236,236,236,236,236,236,236,236,236, \
46 236,236,236,236,236,236,236,236,236,236,236,282,282,282,282,282, \
47 282,282,282,282,282,282,282,282,282,282,282,282,282,282,282,282, \
48 282,282,282,282,282,282,282,282,282,282,282,282,282,282,282,282, \
49 282,282,282,282,282,282,282,282,281,282,306,282,282,282,306,282, \
50 282,282,330,329,330,330,330,330,306,330,306,330,306,306,330,306, \
51 306,330,330,330,330,330,330,330,330,330,330,330,330,330,330,330, \
52 330,330,330,330,329,330,330,330,330,330,360,360,330,330,360,360, \
53 360,330,360,360,360,360,360,360,360,360,360,360,368,368,360,376, \
54 376,376,368,376,368,376,376,376,376,376,376,376,376,376,368,368, \
55 376,376,376,376,376,376,375,376,376,376,376,376,368,368,376,376, \
56 408,408,408,408,408,376,408,408,376,375,376,439,376,440,440,376, \
57 408,376,376,376,376,376,408,376,440,440,440,440,440,440,440,440, \
58 440,440,432,432,440,440,440,440,440,440,439,440,440,440,440,439, \
59 439,440,408,440,440,440,439,440,440,440,440,440,440,440,472,440, \
60 440,472,472,440,440,440,440,440,440,440,440,439,440,440,440,440, \
61 440,440,440,440,440,439,440,440,440,440,440,440,440,440,440,440, \
62 440,440,440,440,440,472,439,440,440,440,472,472,472,472,472,472, \
63 472,470,472,472,504,471,472,472,480,472,472,472,472,472,472,503, \
64 472,472,472,472,472,472,472,472,504,503,504,504,504,504,504,504, \
65 472,504,504,504,504,504,504,504,504,504,504,504,504,496,504,504, \
66 504,504,504,504,504,504,504,504,504,504,504,504,504,504,504,504, \
67 504,504,504,504,504,504,504,504,544,544,544,544,544,544,544,544, \
68 544,536,544,544,544,544,544,544,544,544,544,544,544,544,544,544, \
69 544,544,544,544,544,544,544,544,544,544,592,592,592,592,592,592, \
70 591,592,592,591,592,592,568,568,592,591,592,592,592,592,592,640, \
71 592,592,592,592,592,592,592,592,592,592,592,591,592,592,592,592, \
72 592,592,592,624,624,623,630,631,632,632,632,632,632,592,632,639, \
73 640,640,640,639,640,640,640,640,640,632,640,632,632,632,632,632, \
74 640,632,632,639,632,632,632,640,639,640,640,640,664,664,640,640, \
75 640,640,640,664,664,664,664,664,664,664,640,663,640,640,664,664, \
76 640,664,640,664,664,664,664,664,640,664,688,688,688,687,688,688, \
77 680,640,664,664,664,664,688,664,664,688,664,688,640,664,664,664, \
78 639,688,640,640,640,640,712,640,711,712,712,736,688,712,712,712, \
79 736,664,664,664,688,664,664,664,728,664,728,728,728,728,736,736, \
80 736,735,736,736,736,736,728,728,735,736,736,736,736,736,736,736, \
81 735,736,735,736,728,736,736,728,728,735,736,735,736,736,736,736, \
82 736,736,735,736,735,736,736,735,736,728,728,728,728,736,736,735, \
83 735,736,736,736,736,736,736,728,735,736,736,736,736,736,736,736, \
84 735,736,736,736,736,736,736,736,736,736,736,736,736,735,734,736, \
85 736,735,736,736,736,736,736,736,735,736,736,735,736,736,735,735, \
86 736,736,736,784,736,735,784,784,784,784,736,736,824,783,736,735, \
87 783,784,784,736,784,824,784,784,784,784,784,784,832,736,735,832, \
88 824,784,736,736,824,736,824,784,784,784,784,832,832,784,824,824, \
89 824,856,822,824,824,824,824,824,824,824,824,824,824,824,824,824 \
90
91 #define MPFR_SQRHIGH_TAB \
92 -1,-1,-1,-1,-1,-1,-1,-1,6,6,7,7,8,9,9,9, \
93 10,10,11,12,13,14,13,14,15,16,17,17,17,18,20,20, \
94 21,22,19,19,20,21,24,25,22,22,23,24,24,25,26,27, \
95 26,27,27,27,34,34,30,34,34,34,34,34,38,38,38,38, \
96 38,42,40,40,44,46,44,38,40,46,42,42,44,44,46,46, \
97 46,48,48,48,48,48,50,48,48,50,48,48,50,60,60,60, \
98 50,60,52,60,60,60,60,60,60,64,68,64,64,68,64,64, \
99 68,64,64,68,68,68,68,72,68,68,76,76,76,76,76,76, \
100 76,80,80,80,80,80,80,80,80,76,80,84,84,88,84,84, \
101 76,80,76,80,80,84,80,84,84,84,88,88,88,92,91,92, \
102 92,92,96,96,96,88,92,92,92,92,96,96,96,92,96,96, \
103 95,105,96,110,111,111,117,111,117,117,117,117,117,117,117,123, \
104 123,117,123,117,117,117,117,117,116,129,135,129,123,135,135,123, \
105 123,129,129,135,135,135,134,135,129,135,140,135,140,141,141,141, \
106 141,141,141,141,141,141,141,141,140,141,140,140,141,141,141,141, \
107 141,140,147,140,141,141,141,153,147,153,147,147,172,141,140,141, \
108 140,164,172,164,171,164,172,172,141,141,172,180,180,188,180,180, \
109 180,180,188,180,188,188,188,188,187,188,188,180,188,172,188,188, \
110 187,188,187,188,188,180,172,180,180,196,179,180,188,188,188,187, \
111 188,188,186,185,188,188,188,188,188,196,188,188,188,196,188,188, \
112 188,188,188,196,195,188,188,188,196,196,187,188,188,188,188,196, \
113 195,195,195,196,195,196,204,204,212,212,204,188,196,196,196,204, \
114 212,212,212,212,212,204,234,234,234,258,234,246,234,246,234,234, \
115 246,246,246,234,246,258,258,246,246,234,258,258,258,258,258,246, \
116 258,270,258,258,258,258,258,270,258,270,257,258,270,258,258,270, \
117 270,282,270,282,282,270,282,281,282,282,282,282,282,282,282,282, \
118 282,282,270,282,282,282,282,282,282,282,282,282,282,282,282,282, \
119 282,282,282,282,282,282,282,282,282,282,282,282,282,282,312,312, \
120 282,312,312,312,312,312,312,312,312,328,312,282,282,328,282,270, \
121 282,282,328,282,328,328,328,328,282,328,344,282,282,282,328,344, \
122 328,344,344,344,344,360,344,344,360,344,360,344,344,344,344,344, \
123 344,360,360,344,344,360,360,344,344,360,344,344,360,360,360,360, \
124 360,360,328,360,328,360,328,344,360,328,328,360,344,360,360,344, \
125 360,360,344,360,344,344,360,344,360,344,344,344,344,360,344,344, \
126 360,360,360,359,360,360,360,360,360,360,360,360,360,360,359,360, \
127 360,360,360,360,360,360,359,359,360,360,360,344,360,360,360,360, \
128 360,360,360,360,360,360,360,360,391,360,392,360,360,359,360,359, \
129 360,360,360,360,360,360,360,360,360,360,359,360,360,360,424,424, \
130 423,424,424,424,472,424,472,424,424,424,424,424,424,471,472,472, \
131 424,472,472,424,472,472,472,472,472,424,424,472,472,424,424,472, \
132 472,424,472,472,472,472,472,472,472,472,472,471,472,472,472,472, \
133 472,472,472,472,472,472,471,472,471,472,472,472,472,472,472,472, \
134 472,471,472,472,472,504,504,472,472,472,472,472,504,504,472,504, \
135 472,504,504,504,472,504,504,472,472,472,471,472,472,472,472,471, \
136 472,472,472,472,472,472,472,472,472,472,471,472,472,504,504,472, \
137 472,504,472,536,472,472,471,472,472,472,536,472,472,536,536,536, \
138 536,536,536,536,504,504,504,536,536,504,536,536,504,536,504,504, \
139 536,504,568,504,568,568,568,568,568,568,568,568,568,568,568,568, \
140 568,567,568,536,568,536,568,568,568,536,568,568,536,536,536,536, \
141 536,568,536,536,536,536,568,536,536,568,536,536,568,536,536,568, \
142 568,568,568,568,568,568,568,568,568,568,567,568,568,568,568,568, \
143 568,568,568,568,568,568,567,568,567,568,568,600,600,568,568,568, \
144 568,600,600,568,600,600,568,600,600,600,568,600,600,600,600,600, \
145 600,600,600,600,600,632,599,600,600,600,600,600,600,600,600,600, \
146 632,600,568,600,568,600,568,568,632,568,631,600,568,568,568,568, \
147 632,632,632,632,624,632,631,600,624,632,632,600,600,632,632,632, \
148 600,600,600,600,600,600,632,600,632,600,600,600,664,664,632,664, \
149 664,600,568,600,664,568,600,664,568,568,600,600,568,632,632,632, \
150 599,600,568,600,632,632,632,632,600,600,568,600,600,632,632,600, \
151 600,632,599,600,600,632,599,600,600,600,600,600,600,600,664,600, \
152 600,664,600,664,632,696,696,696,696,696,696,696,695,696,696,695, \
153 696,696,632,632,632,632,632,632,632,632,632,632,632,632,632,631, \
154 632,632,632,632,632,631,728,728,632,632,696,632,696,696,696,664, \
155 696,696,696,664,662,664,664,664,664,664,664,664,664,664,664,664 \
156
157 #define MPFR_DIVHIGH_TAB \
158 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, /*0-15*/ \
159 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, /*16-31*/ \
160 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, /*32-47*/ \
161 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, /*48-63*/ \
162 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, /*64-79*/ \
163 0,0,0,0,0,0,0,0,48,0,0,0,0,0,0,50, /*80-95*/ \
164 54,55,0,52,56,52,56,56,58,55,58,60,59,60,64,59, /*96-111*/ \
165 64,59,62,68,60,60,64,64,68,62,64,66,72,68,66,68, /*112-127*/ \
166 68,68,68,68,71,69,74,76,70,78,72,72,72,72,78,74, /*128-143*/ \
167 77,75,78,78,78,78,84,77,84,79,80,79,80,86,92,92, /*144-159*/ \
168 83,83,92,92,96,96,96,92,96,96,96,92,92,104,96,104, /*160-175*/ \
169 92,104,96,104,96,96,96,104,104,104,112,104,104,104,112,116, /*176-191*/ \
170 112,112,112,104,112,120,116,112,116,120,112,112,118,104,119,120, /*192-207*/ \
171 112,120,124,124,112,128,112,120,116,116,128,112,120,128,116,120, /*208-223*/ \
172 128,116,120,120,120,128,120,128,128,120,128,128,128,128,124,128, /*224-239*/ \
173 128,124,128,128,128,128,128,128,128,128,128,128,135,136,136,132, /*240-255*/ \
174 136,136,132,134,135,136,137,149,135,160,136,136,156,150,160,160, /*256-271*/ \
175 144,160,144,148,160,160,161,144,144,156,160,156,156,160,160,160, /*272-287*/ \
176 160,150,162,148,160,150,158,158,160,174,156,160,164,160,160,162, /*288-303*/ \
177 156,160,160,168,160,168,158,172,160,159,160,184,162,192,184,174, /*304-319*/ \
178 184,173,168,192,185,186,184,184,184,184,192,192,168,184,184,191, /*320-335*/ \
179 172,184,184,185,192,186,185,184,185,186,192,184,184,184,184,192, /*336-351*/ \
180 184,182,192,191,185,189,192,184,192,192,192,184,184,208,192,185, /*352-367*/ \
181 192,216,208,216,208,192,192,208,192,192,192,192,192,208,208,224, /*368-383*/ \
182 216,216,208,207,222,208,224,224,208,216,232,224,208,208,208,208, /*384-399*/ \
183 232,208,224,224,224,208,216,224,228,216,208,224,232,240,224,222, /*400-415*/ \
184 224,224,224,224,224,216,232,224,232,232,216,216,232,224,232,232, /*416-431*/ \
185 240,240,224,224,224,224,232,228,246,240,232,232,240,240,239,240, /*432-447*/ \
186 240,240,232,232,240,240,240,256,256,240,240,256,240,256,253,240, /*448-463*/ \
187 256,256,256,240,255,256,240,256,256,264,256,240,240,240,256,256, /*464-479*/ \
188 256,256,248,256,257,256,256,256,256,256,256,256,264,256,256,256, /*480-495*/ \
189 256,256,256,256,256,288,256,270,288,256,288,256,270,256,276,288, /*496-511*/ \
190 272,270,282,288,276,276,270,288,288,288,288,276,276,288,288,288, /*512-527*/ \
191 288,288,280,288,276,272,288,288,288,276,272,280,288,312,276,288, /*528-543*/ \
192 284,288,288,312,288,288,288,288,312,316,288,306,288,288,312,312, /*544-559*/ \
193 288,312,288,312,320,304,305,288,312,320,320,312,336,288,312,312, /*560-575*/ \
194 312,330,312,312,330,320,300,336,312,320,312,312,312,312,320,336, /*576-591*/ \
195 316,312,312,312,320,312,348,322,318,312,336,336,312,320,336,312, /*592-607*/ \
196 316,324,336,312,336,384,312,324,384,368,336,320,384,320,336,384, /*608-623*/ \
197 384,320,316,336,320,368,384,384,368,330,384,368,384,336,384,368, /*624-639*/ \
198 384,368,384,336,384,336,336,336,384,336,336,384,384,384,384,370, /*640-655*/ \
199 384,368,384,368,384,384,384,384,368,354,359,368,336,368,368,368, /*656-671*/ \
200 384,384,384,368,384,384,368,384,384,376,368,384,369,384,384,368, /*672-687*/ \
201 372,384,384,384,384,384,368,368,384,368,368,384,383,368,369,368, /*688-703*/ \
202 370,368,368,369,416,384,384,384,384,384,384,384,368,384,384,384, /*704-719*/ \
203 384,416,416,384,384,369,368,416,368,368,384,384,384,384,384,384, /*720-735*/ \
204 384,384,384,384,384,384,384,384,384,384,384,384,382,376,384,408, /*736-751*/ \
205 384,384,384,382,408,384,384,416,384,384,416,384,384,384,448,416, /*752-767*/ \
206 416,432,416,416,416,416,416,416,416,416,416,432,432,416,408,432, /*768-783*/ \
207 432,416,416,416,416,416,416,416,432,416,432,416,432,416,416,416, /*784-799*/ \
208 432,440,416,432,432,416,448,416,416,416,448,416,416,416,448,464, /*800-815*/ \
209 464,432,432,416,448,416,448,464,448,464,464,464,440,456,440,448, /*816-831*/ \
210 480,472,480,432,432,464,448,432,480,464,480,432,464,480,432,480, /*832-847*/ \
211 432,440,432,432,448,440,480,464,480,480,440,448,480,448,448,440, /*848-863*/ \
212 448,464,448,466,448,448,480,448,448,448,512,466,480,480,480,456, /*864-879*/ \
213 464,448,464,464,464,448,464,464,512,464,512,480,480,480,464,480, /*880-895*/ \
214 480,480,480,480,512,480,480,480,480,456,464,464,466,464,512,464, /*896-911*/ \
215 480,480,512,464,512,468,512,472,512,466,480,464,512,480,512,480, /*912-927*/ \
216 480,480,510,512,480,480,480,480,480,512,480,562,512,480,512,480, /*928-943*/ \
217 512,512,480,480,480,538,480,480,480,528,540,480,564,512,540,512, /*944-959*/ \
218 540,512,564,512,512,512,564,550,564,512,512,512,561,512,563,563, /*960-975*/ \
219 512,512,512,512,564,512,512,512,564,564,512,564,563,564,512,540, /*976-991*/ \
220 562,540,528,512,540,512,552,512,552,560,512,512,552,564,540,552, /*992-1007*/ \
221 540,561,562,552,576,564,540,562,552,562,563,562,564,562,564,564 /*1008-1023*/ \
222
223 #define MPFR_MUL_THRESHOLD 10 /* limbs */
224 #define MPFR_SQR_THRESHOLD 13 /* limbs */
225 #define MPFR_DIV_THRESHOLD 5 /* limbs */
226 #define MPFR_EXP_2_THRESHOLD 1023 /* bits */
227 #define MPFR_EXP_THRESHOLD 10090 /* bits */
228 #define MPFR_SINCOS_THRESHOLD 23323 /* bits */
229 #define MPFR_AI_THRESHOLD1 -14098 /* threshold for negative input of mpfr_ai */
230 #define MPFR_AI_THRESHOLD2 1378
231 #define MPFR_AI_THRESHOLD3 21450
232 /* Tuneup completed successfully, took 699 seconds */