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
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
|
/* Various Thresholds of MPFR, not exported. -*- mode: C -*-
Copyright 2005-2019 Free Software Foundation, Inc.
This file is part of the GNU MPFR Library.
The GNU MPFR Library is free software; you can redistribute it and/or modify
it under the terms of 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.
The GNU MPFR 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 Lesser General Public
License for more details.
You should have received a copy of the GNU Lesser General Public License
along with the GNU MPFR Library; see the file COPYING.LESSER. If not, see
https://www.gnu.org/licenses/ or write to the Free Software Foundation, Inc.,
51 Franklin St, Fifth Floor, Boston, MA 02110-1301, USA. */
/* mparam tuned for coverage test */
#define MPFR_MULHIGH_TAB \
-1,0,-1,-1,-1,-1,-1,-1,0,0,0,0,8,9,10,11, \
10,11,12,13,0,13,14,13,14,15,16,17,16,16,18,19, \
19,19,20,19,28,28,28,28,28,28,28,28,28,28,28,30, \
32,32,32,32,34,34,36,34,36,36,36,36,36,40,38,38, \
40,38,40,40,56,56,56,56,56,56,56,56,56,56,56,56, \
56,56,56,56,56,56,56,56,60,56,60,64,64,64,56,56, \
56,64,64,56,60,64,60,64,64,64,64,68,68,64,68,84, \
84,86,84,84,87,84,87,84,87,84,84,84,84,84,84,84, \
87,87,86,87,87,87,92,93,92,93,93,93,93,99,96,93, \
99,99,99,99,99,98,99,99,102,99,105,104,105,105,108,108, \
110,108,108,111,114,114,116,117,117, \
117,117,117,124,124,124,124, \
124,124,124,132,132,132,132,124,132,\
132,132,132,132,132,132,132, \
140,140,140,140,123,140,124,124,124,\
124,132,128,132,132,132,132, \
132,132,132,132,132,132,140,140,132,140,140,140,140,140,148,147, \
140,148,148,147,148,148,148,156,148,156,156,156,156,156,156,155, \
156,160,156,156,164,164,164,156,164,164,164,164,164,164,164,164, \
164,217,220,220,220,220,220,220,220,220,220,220,220,220,220,220, \
220,220,220,220,220,220,220,220,220,220,224,220,220,220,220,220, \
220,220,220,220,220,220,220,220,220,224,220,220,220,224,220,220, \
220,220,220,224,224,224,224,236,220,236,235,236,235,235,234,236, \
236,235,236,236,235,236,236,236,236,236,236,252,236,251,236,251, \
252,252,252,252,236,235,252,252,252,252,252,251,268,252,252,252, \
268,251,268,268,252,252,268,268,268,268,267,268,268,268,267,268, \
268,252,268,268,268,267,268,268,268,252,268,252,252,252,251,268, \
252,268,252,268,268,268,268,268,267,268,268,268,268,268,268,268, \
268,268,268,268,268,268,332,332,330,268,332,332,332,332,330,331, \
332,332,332,332,344,331,344,344,344,344,344,332,342,332,344,332, \
332,332,344,332,344,344,342,344,344,342,344,344,344,344,344,342, \
344,344,344,344,344,344,344,368,344,342,344,344,368,344,344,344, \
344,344,344,344,344,344,344,344,344,344,344,344,344,344,344,344, \
344,344,368,344,344,368,344,363,368,367,368,368,368,368,368,366, \
366,368,368,368,368,368,368,368,368,368,368,368,368,368,380,368, \
368,368,368,368,368,392,392,392,392,392,392,392,392,392,392,392, \
392,392,392,392,392,392,392,392,392,392,392,392,392,392,392,392, \
392,391,392,392,392,392,392,416,392,416,416,416,416,412,416,392, \
416,416,416,416,416,416,416,416,416,416,416,428,416,416,416,428, \
416,440,416,480,480,480,480,480,480,480,504,503,504,504,504,504, \
504,504,504,503,504,504,504,504,504,504,504,504,504,503,504,504, \
480,504,504,504,504,504,504,480,504,488,504,504,504,504,504,504, \
504,504,504,504,504,504,504,504,504,504,504,504,504,504,504,504, \
504,504,504,504,504,504,504,504,504,504,504,504,504,504,504,504, \
504,504,504,504,504,504,504,504,504,536,536,536,536,536,536,536, \
536,536,536,536,535,536,536,536,536,536,536,536,536,535,536,536, \
536,536,536,535,536,535,536,536,536,536,536,536,536,536,536,536, \
536,568,536,536,536,536,536,536,568,536,535,536,536,536,536,536, \
536,536,536,568,568,568,568,568,568,568,568,568,568,568,568,568, \
568,568,568,568,568,568,568,568,568,664,664,664,664,664,664,664, \
664,663,664,664,664,664,664,664,664,664,664,663,664,664,664,663, \
664,663,664,664,664,664,664,664,664,663,664,664,664,663,664,664, \
664,664,664,664,664,664,664,664,664,664,664,664,664,664,664,664, \
664,664,664,663,664,664,664,664,664,664,664,663,664,664,664,664, \
664,688,664,664,688,688,664,664,688,664,664,664,664,664,664,664, \
664,680,688,688,688,688,688,688,688,688,688,688,688,688,688,688, \
688,688,712,712,688,688,688,712,712,711,712,712,736,728,736,728, \
728,728,736,728,736,736,736,736,728,736,736,736,728,736,736,736, \
735,736,736,736,736,736,736,736,736,736,736,736,736,728,736,736, \
728,736,736,736,736,735,736,736,735,736,736,736,736,735,736,736, \
736,728,736,736,736,736,736,736,736,736,736,736,736,736,736,784, \
736,784,783,736,784,735,784,735,784,735,736,736,736,736,736,736, \
736,736,784,735,736,784,736,784,784,736,736,736,736,784,784,784, \
784,784,784,783,784,784,784,736,784,784,784,784,784,784,784,784, \
784,784,784,784,783,784,784,784,784,784,784,784,784,784,784,784, \
784,784,784,784,784,784,784,784,784,784,784,784,784,784,784,783, \
736,784,784,784,784,784,783,784,784,831,784,832,832,832,832,832 \
#define MPFR_SQRHIGH_TAB \
-1,0,0,0,-1,-1,-1,-1,-1,7,7,7,8,9,10,11, \
11,11,11,11,12,13,13,15,15,15,15,15,17,17,19,19, \
19,19,19,19,20,20,23,21,23,23,24,23,27,25,26,27, \
26,27,27,34,34,34,34,34,34,34,34,34,34,38,34,38, \
38,38,38,40,40,42,42,44,42,42,46,42,42,46,46,42, \
42,42,44,44,46,46,46,46,46,46,50,50,50,50,50,50, \
54,54,54,56,54,56,58,58,68,68,68,68,68,68,68,68, \
68,68,68,72,68,68,68,68,68,68,72,72,76,76,76,76, \
76,76,76,76,84,84,84,84,76,84,84,84,84,84,88,92, \
84,84,92,92,84,76,92,88,80,80,80,80,84,84,84,84, \
84,88,84,84,84,92,92,92,92,88,92,96,92,96,92,96, \
92,96,100,104,100,100,96,100,100,100,108,104,117,104,117,108, \
117,117,117,123,122,122,120,117,122,117,122,123,122,123,122,123, \
126,123,126,129,126,129,135,123,132,135,132,135,134,135,134,135, \
138,129,132,123,144,144,134,135,140,129,146,135,132,147,146,147, \
146,135,138,147,138,135,140,141,144,147,146,147,146,147,150,152, \
152,153,152,153,156,153,138,135,140,141,138,144,146,147,147,147, \
147,146,146,146,150,150,150,147,147,159,156,159,158,156,153,159, \
159,159,159,158,201,201,201,201,170,201,170,201,171,201,168,201, \
200,201,201,201,201,200,201,201,200,201,201,201,201,200,201,201, \
201,201,201,201,201,201,201,201,201,201,201,201,201,201,201,201, \
201,201,201,201,201,201,201,201,201,213,201,212,213,225,213,225, \
225,225,225,225,225,225,225,225,225,224,225,225,225,225,224,225, \
225,225,225,225,225,225,225,225,225,225,225,225,237,225,237,225, \
249,249,249,249,249,249,249,249,249,249,248,249,249,249,261,249, \
261,249,261,261,261,249,249,261,260,261,248,261,261,273,248,249, \
249,261,261,249,249,273,249,248,249,249,249,273,261,273,273,249, \
273,249,273,272,273,273,261,273,273,273,273,273,273,261,273,273, \
273,273,273,276,285,273,273,273,273,273,273,273,273,261,285,285, \
285,285,273,261,261,285,273,297,285,273,273,273,272,273,273,273, \
273,273,273,273,273,273,273,276,273,273,273,273,285,273,273,285, \
351,351,351,351,351,351,297,351,351,366,351,351,351,297,366,366, \
351,351,351,351,366,363,351,362,364,366,366,366,364,351,351,351, \
351,351,366,366,351,366,366,366,366,366,363,366,360,363,366,366, \
366,363,366,366,366,366,366,366,366,351,366,366,351,351,351,384, \
366,366,366,366,366,384,366,366,363,364,366,363,366,366,366,363, \
366,366,366,366,366,366,366,366,366,365,366,366,366,384,366,366, \
384,366,384,366,366,366,384,366,366,366,366,366,366,384,366,402, \
393,384,366,402,402,402,384,402,402,402,384,401,402,402,351,402, \
351,351,402,402,402,351,402,402,366,363,365,366,366,363,366,366, \
365,360,366,366,366,351,366,363,365,363,366,366,366,366,363,365, \
366,366,366,366,366,366,366,366,366,366,366,363,366,366,366,363, \
365,366,402,402,366,402,384,384,381,402,384,384,384,384,384,384, \
402,384,387,384,402,401,402,391,402,393,399,402,402,402,401,399, \
401,402,402,402,402,402,402,402,402,402,402,402,402,402,399,402, \
401,402,402,402,402,402,402,402,402,438,402,438,438,437,402,437, \
438,437,438,438,438,441,438,438,438,438,438,438,438,438,437,438, \
438,438,456,435,437,437,438,438,438,435,438,437,438,456,456,438, \
455,456,456,456,474,456,474,456,456,474,456,456,512,456,512,512, \
512,512,512,512,512,512,512,474,512,512,512,512,512,512,512,512, \
512,512,512,512,512,512,512,512,512,512,512,512,512,512,512,512, \
512,512,512,512,512,512,512,536,512,512,536,522,512,536,536,512, \
512,512,512,536,536,524,536,531,536,536,536,536,536,536,536,536, \
535,512,536,534,512,536,512,536,536,535,536,536,535,534,534,536, \
536,536,536,535,536,535,534,536,536,536,536,536,536,534,536,536, \
536,536,536,536,536,560,560,535,536,560,536,535,584,536,536,572, \
583,584,584,584,536,572,560,584,584,584,584,584,583,584,584,584, \
584,583,584,570,584,584,572,584,584,584,584,584,584,583,584,584, \
584,584,584,560,584,584,584,584,584,584,584,584,584,584,584,584, \
584,584,584,584,584,632,696,632,584,582,696,696,696,696,584,696, \
694,696,695,696,695,696,694,695,695,696,696,696,695,696,696,695, \
696,696,695,696,696,696,696,696,695,695,696,695,696,695,696,695, \
696,695,696,695,696,695,696,695,696,696,696,696,696,695,696,696, \
695,696,696,696,696,696,696,696,696,696,696,696,696,696,696,696 \
#define MPFR_DIVHIGH_TAB \
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, /*0-15*/ \
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, /*16-31*/ \
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, /*32-47*/ \
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, /*48-63*/ \
0,0,0,0,0,0,0,0,0,0,0,0,0,0,41,0, /*64-79*/ \
0,0,0,0,0,0,0,0,0,0,0,0,0,56,56,56, /*80-95*/ \
56,56,60,58,59,56,59,59,56,59,60,58,56,64,60,60, /*96-111*/ \
63,64,64,60,63,60,64,64,64,66,67,66,68,66,72,66, /*112-127*/ \
67,67,71,68,68,71,71,70,76,74,74,76,76,72,75,80, /*128-143*/ \
76,76,76,76,78,76,79,77,80,78,79,80,82,80,83,83, /*144-159*/ \
83,85,86,91,85,88,87,85,87,90,112,91,112,89,112,112, /*160-175*/ \
112,112,112,112,112,112,112,112,112,112,112,112,112,112,112,112, /*176-191*/ \
112,112,118,112,112,112,112,112,112,112,120,120,112,112,112,120, /*192-207*/ \
112,112,112,112,112,120,112,119,112,112,114,112,124,120,120,116, /*208-223*/ \
120,118,123,128,124,120,120,123,120,128,128,120,128,134,128,127, /*224-239*/ \
126,128,136,134,136,128,126,127,136,128,134,136,136,128,136,132, /*240-255*/ \
136,136,134,132,136,136,135,136,136,134,136,136,136,140,144,142, /*256-271*/ \
143,144,144,143,144,143,150,144,144,143,144,144,156,144,152,151, /*272-287*/ \
166,149,152,152,156,152,168,160,152,168,168,168,152,160,168,168, /*288-303*/ \
168,172,166,168,168,180,166,166,165,165,168,168,168,164,174,167, /*304-319*/ \
168,166,174,168,168,168,174,176,180,172,174,182,180,172,184,178, /*320-335*/ \
184,183,184,186,182,182,183,185,174,224,176,224,224,224,196,191, /*336-351*/ \
192,224,224,224,224,224,224,224,224,224,224,224,224,224,224,224, /*352-367*/ \
224,224,224,224,224,224,224,224,224,224,228,224,224,224,233,224, /*368-383*/ \
224,224,224,240,224,232,224,224,224,224,224,224,224,224,224,224, /*384-399*/ \
224,224,224,224,228,224,224,224,224,224,224,224,224,225,224,224, /*400-415*/ \
224,224,224,224,224,224,224,224,233,232,224,240,224,240,224,223, /*416-431*/ \
224,224,224,224,224,232,224,232,228,233,224,224,228,240,230,240, /*432-447*/ \
240,240,242,239,240,247,240,239,248,240,239,242,256,232,256,254, /*448-463*/ \
256,256,256,256,256,256,256,256,256,240,264,256,264,264,256,263, /*464-479*/ \
272,272,256,248,254,272,256,256,254,256,256,255,254,272,272,256, /*480-495*/ \
256,272,264,256,255,271,272,264,256,272,272,272,272,256,272,272, /*496-511*/ \
278,280,272,272,280,287,280,280,287,280,270,272,272,264,272,272, /*512-527*/ \
271,269,270,280,272,272,271,272,272,270,272,272,272,272,288,273, /*528-543*/ \
278,276,288,286,280,288,287,285,280,286,288,280,280,288,288,296, /*544-559*/ \
288,288,288,289,288,288,287,287,288,296,288,288,296,302,312,294, /*560-575*/ \
310,304,303,304,304,312,303,320,304,300,312,296,305,310,304,304, /*576-591*/ \
304,302,303,312,302,304,304,304,302,336,304,304,328,311,312,328, /*592-607*/ \
310,312,316,336,336,320,312,320,336,320,319,336,336,328,328,325, /*608-623*/ \
320,328,328,336,320,336,320,324,336,348,320,336,343,320,336,336, /*624-639*/ \
336,334,335,344,341,328,342,336,328,335,336,336,336,336,335,336, /*640-655*/ \
336,343,336,344,336,336,348,360,344,359,344,360,360,360,344,348, /*656-671*/ \
344,347,348,360,348,360,360,360,360,367,368,368,448,360,448,372, /*672-687*/ \
360,360,448,368,448,448,448,448,448,448,448,448,448,448,448,448, /*688-703*/ \
448,448,448,448,448,448,448,448,448,448,448,448,448,448,448,448, /*704-719*/ \
448,448,448,448,448,448,448,448,448,448,448,448,448,448,448,448, /*720-735*/ \
448,448,448,448,448,448,448,448,448,448,448,448,448,448,448,448, /*736-751*/ \
448,448,448,448,448,448,448,448,448,448,448,448,448,448,448,448, /*752-767*/ \
448,448,448,448,448,448,448,448,448,448,448,448,448,467,448,468, /*768-783*/ \
448,468,448,466,448,464,468,448,464,464,448,448,448,448,464,448, /*784-799*/ \
480,448,448,448,448,448,448,448,448,448,448,448,448,448,448,448, /*800-815*/ \
448,448,448,448,448,448,448,448,448,448,480,448,448,448,447,448, /*816-831*/ \
448,448,448,464,448,448,448,448,448,448,448,448,448,447,448,448, /*832-847*/ \
448,448,448,448,447,448,448,448,448,456,448,448,448,456,448,448, /*848-863*/ \
448,448,448,448,448,448,448,448,448,448,464,464,448,467,448,448, /*864-879*/ \
448,448,448,464,448,447,468,464,448,464,464,448,448,468,472,472, /*880-895*/ \
466,462,464,469,468,464,463,480,472,479,496,480,472,512,472,479, /*896-911*/ \
512,464,495,512,496,495,480,496,488,472,492,512,512,480,512,479, /*912-927*/ \
512,480,504,480,480,496,512,480,472,480,512,496,480,512,536,496, /*928-943*/ \
512,512,512,512,496,512,512,515,496,480,512,496,512,480,510,543, /*944-959*/ \
512,496,512,496,528,528,496,512,512,528,527,496,512,508,512,528, /*960-975*/ \
512,512,512,512,512,512,512,512,528,528,512,512,512,512,528,528, /*976-991*/ \
512,528,526,527,528,511,508,511,512,512,528,527,528,528,510,512, /*992-1007*/ \
528,544,544,536,536,520,511,536,536,543,512,528,544,512,542,543 /*1008-1023*/ \
|
