Source file
src/strconv/eisel_lemire.go
Documentation: strconv
1
2
3
4
5 package strconv
6
7
8
9
10
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12
13
14
15
16
17
18
19
20 import (
21 "math"
22 "math/bits"
23 )
24
25 func eiselLemire64(man uint64, exp10 int, neg bool) (f float64, ok bool) {
26
27
28
29
30 if man == 0 {
31 if neg {
32 f = math.Float64frombits(0x8000000000000000)
33 }
34 return f, true
35 }
36 if exp10 < detailedPowersOfTenMinExp10 || detailedPowersOfTenMaxExp10 < exp10 {
37 return 0, false
38 }
39
40
41 clz := bits.LeadingZeros64(man)
42 man <<= uint(clz)
43 const float64ExponentBias = 1023
44 retExp2 := uint64(217706*exp10>>16+64+float64ExponentBias) - uint64(clz)
45
46
47 xHi, xLo := bits.Mul64(man, detailedPowersOfTen[exp10-detailedPowersOfTenMinExp10][1])
48
49
50 if xHi&0x1FF == 0x1FF && xLo+man < man {
51 yHi, yLo := bits.Mul64(man, detailedPowersOfTen[exp10-detailedPowersOfTenMinExp10][0])
52 mergedHi, mergedLo := xHi, xLo+yHi
53 if mergedLo < xLo {
54 mergedHi++
55 }
56 if mergedHi&0x1FF == 0x1FF && mergedLo+1 == 0 && yLo+man < man {
57 return 0, false
58 }
59 xHi, xLo = mergedHi, mergedLo
60 }
61
62
63 msb := xHi >> 63
64 retMantissa := xHi >> (msb + 9)
65 retExp2 -= 1 ^ msb
66
67
68 if xLo == 0 && xHi&0x1FF == 0 && retMantissa&3 == 1 {
69 return 0, false
70 }
71
72
73 retMantissa += retMantissa & 1
74 retMantissa >>= 1
75 if retMantissa>>53 > 0 {
76 retMantissa >>= 1
77 retExp2 += 1
78 }
79
80
81
82
83
84 if retExp2-1 >= 0x7FF-1 {
85 return 0, false
86 }
87 retBits := retExp2<<52 | retMantissa&0x000FFFFFFFFFFFFF
88 if neg {
89 retBits |= 0x8000000000000000
90 }
91 return math.Float64frombits(retBits), true
92 }
93
94 func eiselLemire32(man uint64, exp10 int, neg bool) (f float32, ok bool) {
95
96
97
98
99
100
101
102
103
104
105 if man == 0 {
106 if neg {
107 f = math.Float32frombits(0x80000000)
108 }
109 return f, true
110 }
111 if exp10 < detailedPowersOfTenMinExp10 || detailedPowersOfTenMaxExp10 < exp10 {
112 return 0, false
113 }
114
115
116 clz := bits.LeadingZeros64(man)
117 man <<= uint(clz)
118 const float32ExponentBias = 127
119 retExp2 := uint64(217706*exp10>>16+64+float32ExponentBias) - uint64(clz)
120
121
122 xHi, xLo := bits.Mul64(man, detailedPowersOfTen[exp10-detailedPowersOfTenMinExp10][1])
123
124
125 if xHi&0x3FFFFFFFFF == 0x3FFFFFFFFF && xLo+man < man {
126 yHi, yLo := bits.Mul64(man, detailedPowersOfTen[exp10-detailedPowersOfTenMinExp10][0])
127 mergedHi, mergedLo := xHi, xLo+yHi
128 if mergedLo < xLo {
129 mergedHi++
130 }
131 if mergedHi&0x3FFFFFFFFF == 0x3FFFFFFFFF && mergedLo+1 == 0 && yLo+man < man {
132 return 0, false
133 }
134 xHi, xLo = mergedHi, mergedLo
135 }
136
137
138 msb := xHi >> 63
139 retMantissa := xHi >> (msb + 38)
140 retExp2 -= 1 ^ msb
141
142
143 if xLo == 0 && xHi&0x3FFFFFFFFF == 0 && retMantissa&3 == 1 {
144 return 0, false
145 }
146
147
148 retMantissa += retMantissa & 1
149 retMantissa >>= 1
150 if retMantissa>>24 > 0 {
151 retMantissa >>= 1
152 retExp2 += 1
153 }
154
155
156
157
158
159 if retExp2-1 >= 0xFF-1 {
160 return 0, false
161 }
162 retBits := retExp2<<23 | retMantissa&0x007FFFFF
163 if neg {
164 retBits |= 0x80000000
165 }
166 return math.Float32frombits(uint32(retBits)), true
167 }
168
169
170
171 const (
172 detailedPowersOfTenMinExp10 = -348
173 detailedPowersOfTenMaxExp10 = +347
174 )
175
176
177
178
179
180
181
182
183
184
185
186
187 var detailedPowersOfTen = [...][2]uint64{
188 {0x1732C869CD60E453, 0xFA8FD5A0081C0288},
189 {0x0E7FBD42205C8EB4, 0x9C99E58405118195},
190 {0x521FAC92A873B261, 0xC3C05EE50655E1FA},
191 {0xE6A797B752909EF9, 0xF4B0769E47EB5A78},
192 {0x9028BED2939A635C, 0x98EE4A22ECF3188B},
193 {0x7432EE873880FC33, 0xBF29DCABA82FDEAE},
194 {0x113FAA2906A13B3F, 0xEEF453D6923BD65A},
195 {0x4AC7CA59A424C507, 0x9558B4661B6565F8},
196 {0x5D79BCF00D2DF649, 0xBAAEE17FA23EBF76},
197 {0xF4D82C2C107973DC, 0xE95A99DF8ACE6F53},
198 {0x79071B9B8A4BE869, 0x91D8A02BB6C10594},
199 {0x9748E2826CDEE284, 0xB64EC836A47146F9},
200 {0xFD1B1B2308169B25, 0xE3E27A444D8D98B7},
201 {0xFE30F0F5E50E20F7, 0x8E6D8C6AB0787F72},
202 {0xBDBD2D335E51A935, 0xB208EF855C969F4F},
203 {0xAD2C788035E61382, 0xDE8B2B66B3BC4723},
204 {0x4C3BCB5021AFCC31, 0x8B16FB203055AC76},
205 {0xDF4ABE242A1BBF3D, 0xADDCB9E83C6B1793},
206 {0xD71D6DAD34A2AF0D, 0xD953E8624B85DD78},
207 {0x8672648C40E5AD68, 0x87D4713D6F33AA6B},
208 {0x680EFDAF511F18C2, 0xA9C98D8CCB009506},
209 {0x0212BD1B2566DEF2, 0xD43BF0EFFDC0BA48},
210 {0x014BB630F7604B57, 0x84A57695FE98746D},
211 {0x419EA3BD35385E2D, 0xA5CED43B7E3E9188},
212 {0x52064CAC828675B9, 0xCF42894A5DCE35EA},
213 {0x7343EFEBD1940993, 0x818995CE7AA0E1B2},
214 {0x1014EBE6C5F90BF8, 0xA1EBFB4219491A1F},
215 {0xD41A26E077774EF6, 0xCA66FA129F9B60A6},
216 {0x8920B098955522B4, 0xFD00B897478238D0},
217 {0x55B46E5F5D5535B0, 0x9E20735E8CB16382},
218 {0xEB2189F734AA831D, 0xC5A890362FDDBC62},
219 {0xA5E9EC7501D523E4, 0xF712B443BBD52B7B},
220 {0x47B233C92125366E, 0x9A6BB0AA55653B2D},
221 {0x999EC0BB696E840A, 0xC1069CD4EABE89F8},
222 {0xC00670EA43CA250D, 0xF148440A256E2C76},
223 {0x380406926A5E5728, 0x96CD2A865764DBCA},
224 {0xC605083704F5ECF2, 0xBC807527ED3E12BC},
225 {0xF7864A44C633682E, 0xEBA09271E88D976B},
226 {0x7AB3EE6AFBE0211D, 0x93445B8731587EA3},
227 {0x5960EA05BAD82964, 0xB8157268FDAE9E4C},
228 {0x6FB92487298E33BD, 0xE61ACF033D1A45DF},
229 {0xA5D3B6D479F8E056, 0x8FD0C16206306BAB},
230 {0x8F48A4899877186C, 0xB3C4F1BA87BC8696},
231 {0x331ACDABFE94DE87, 0xE0B62E2929ABA83C},
232 {0x9FF0C08B7F1D0B14, 0x8C71DCD9BA0B4925},
233 {0x07ECF0AE5EE44DD9, 0xAF8E5410288E1B6F},
234 {0xC9E82CD9F69D6150, 0xDB71E91432B1A24A},
235 {0xBE311C083A225CD2, 0x892731AC9FAF056E},
236 {0x6DBD630A48AAF406, 0xAB70FE17C79AC6CA},
237 {0x092CBBCCDAD5B108, 0xD64D3D9DB981787D},
238 {0x25BBF56008C58EA5, 0x85F0468293F0EB4E},
239 {0xAF2AF2B80AF6F24E, 0xA76C582338ED2621},
240 {0x1AF5AF660DB4AEE1, 0xD1476E2C07286FAA},
241 {0x50D98D9FC890ED4D, 0x82CCA4DB847945CA},
242 {0xE50FF107BAB528A0, 0xA37FCE126597973C},
243 {0x1E53ED49A96272C8, 0xCC5FC196FEFD7D0C},
244 {0x25E8E89C13BB0F7A, 0xFF77B1FCBEBCDC4F},
245 {0x77B191618C54E9AC, 0x9FAACF3DF73609B1},
246 {0xD59DF5B9EF6A2417, 0xC795830D75038C1D},
247 {0x4B0573286B44AD1D, 0xF97AE3D0D2446F25},
248 {0x4EE367F9430AEC32, 0x9BECCE62836AC577},
249 {0x229C41F793CDA73F, 0xC2E801FB244576D5},
250 {0x6B43527578C1110F, 0xF3A20279ED56D48A},
251 {0x830A13896B78AAA9, 0x9845418C345644D6},
252 {0x23CC986BC656D553, 0xBE5691EF416BD60C},
253 {0x2CBFBE86B7EC8AA8, 0xEDEC366B11C6CB8F},
254 {0x7BF7D71432F3D6A9, 0x94B3A202EB1C3F39},
255 {0xDAF5CCD93FB0CC53, 0xB9E08A83A5E34F07},
256 {0xD1B3400F8F9CFF68, 0xE858AD248F5C22C9},
257 {0x23100809B9C21FA1, 0x91376C36D99995BE},
258 {0xABD40A0C2832A78A, 0xB58547448FFFFB2D},
259 {0x16C90C8F323F516C, 0xE2E69915B3FFF9F9},
260 {0xAE3DA7D97F6792E3, 0x8DD01FAD907FFC3B},
261 {0x99CD11CFDF41779C, 0xB1442798F49FFB4A},
262 {0x40405643D711D583, 0xDD95317F31C7FA1D},
263 {0x482835EA666B2572, 0x8A7D3EEF7F1CFC52},
264 {0xDA3243650005EECF, 0xAD1C8EAB5EE43B66},
265 {0x90BED43E40076A82, 0xD863B256369D4A40},
266 {0x5A7744A6E804A291, 0x873E4F75E2224E68},
267 {0x711515D0A205CB36, 0xA90DE3535AAAE202},
268 {0x0D5A5B44CA873E03, 0xD3515C2831559A83},
269 {0xE858790AFE9486C2, 0x8412D9991ED58091},
270 {0x626E974DBE39A872, 0xA5178FFF668AE0B6},
271 {0xFB0A3D212DC8128F, 0xCE5D73FF402D98E3},
272 {0x7CE66634BC9D0B99, 0x80FA687F881C7F8E},
273 {0x1C1FFFC1EBC44E80, 0xA139029F6A239F72},
274 {0xA327FFB266B56220, 0xC987434744AC874E},
275 {0x4BF1FF9F0062BAA8, 0xFBE9141915D7A922},
276 {0x6F773FC3603DB4A9, 0x9D71AC8FADA6C9B5},
277 {0xCB550FB4384D21D3, 0xC4CE17B399107C22},
278 {0x7E2A53A146606A48, 0xF6019DA07F549B2B},
279 {0x2EDA7444CBFC426D, 0x99C102844F94E0FB},
280 {0xFA911155FEFB5308, 0xC0314325637A1939},
281 {0x793555AB7EBA27CA, 0xF03D93EEBC589F88},
282 {0x4BC1558B2F3458DE, 0x96267C7535B763B5},
283 {0x9EB1AAEDFB016F16, 0xBBB01B9283253CA2},
284 {0x465E15A979C1CADC, 0xEA9C227723EE8BCB},
285 {0x0BFACD89EC191EC9, 0x92A1958A7675175F},
286 {0xCEF980EC671F667B, 0xB749FAED14125D36},
287 {0x82B7E12780E7401A, 0xE51C79A85916F484},
288 {0xD1B2ECB8B0908810, 0x8F31CC0937AE58D2},
289 {0x861FA7E6DCB4AA15, 0xB2FE3F0B8599EF07},
290 {0x67A791E093E1D49A, 0xDFBDCECE67006AC9},
291 {0xE0C8BB2C5C6D24E0, 0x8BD6A141006042BD},
292 {0x58FAE9F773886E18, 0xAECC49914078536D},
293 {0xAF39A475506A899E, 0xDA7F5BF590966848},
294 {0x6D8406C952429603, 0x888F99797A5E012D},
295 {0xC8E5087BA6D33B83, 0xAAB37FD7D8F58178},
296 {0xFB1E4A9A90880A64, 0xD5605FCDCF32E1D6},
297 {0x5CF2EEA09A55067F, 0x855C3BE0A17FCD26},
298 {0xF42FAA48C0EA481E, 0xA6B34AD8C9DFC06F},
299 {0xF13B94DAF124DA26, 0xD0601D8EFC57B08B},
300 {0x76C53D08D6B70858, 0x823C12795DB6CE57},
301 {0x54768C4B0C64CA6E, 0xA2CB1717B52481ED},
302 {0xA9942F5DCF7DFD09, 0xCB7DDCDDA26DA268},
303 {0xD3F93B35435D7C4C, 0xFE5D54150B090B02},
304 {0xC47BC5014A1A6DAF, 0x9EFA548D26E5A6E1},
305 {0x359AB6419CA1091B, 0xC6B8E9B0709F109A},
306 {0xC30163D203C94B62, 0xF867241C8CC6D4C0},
307 {0x79E0DE63425DCF1D, 0x9B407691D7FC44F8},
308 {0x985915FC12F542E4, 0xC21094364DFB5636},
309 {0x3E6F5B7B17B2939D, 0xF294B943E17A2BC4},
310 {0xA705992CEECF9C42, 0x979CF3CA6CEC5B5A},
311 {0x50C6FF782A838353, 0xBD8430BD08277231},
312 {0xA4F8BF5635246428, 0xECE53CEC4A314EBD},
313 {0x871B7795E136BE99, 0x940F4613AE5ED136},
314 {0x28E2557B59846E3F, 0xB913179899F68584},
315 {0x331AEADA2FE589CF, 0xE757DD7EC07426E5},
316 {0x3FF0D2C85DEF7621, 0x9096EA6F3848984F},
317 {0x0FED077A756B53A9, 0xB4BCA50B065ABE63},
318 {0xD3E8495912C62894, 0xE1EBCE4DC7F16DFB},
319 {0x64712DD7ABBBD95C, 0x8D3360F09CF6E4BD},
320 {0xBD8D794D96AACFB3, 0xB080392CC4349DEC},
321 {0xECF0D7A0FC5583A0, 0xDCA04777F541C567},
322 {0xF41686C49DB57244, 0x89E42CAAF9491B60},
323 {0x311C2875C522CED5, 0xAC5D37D5B79B6239},
324 {0x7D633293366B828B, 0xD77485CB25823AC7},
325 {0xAE5DFF9C02033197, 0x86A8D39EF77164BC},
326 {0xD9F57F830283FDFC, 0xA8530886B54DBDEB},
327 {0xD072DF63C324FD7B, 0xD267CAA862A12D66},
328 {0x4247CB9E59F71E6D, 0x8380DEA93DA4BC60},
329 {0x52D9BE85F074E608, 0xA46116538D0DEB78},
330 {0x67902E276C921F8B, 0xCD795BE870516656},
331 {0x00BA1CD8A3DB53B6, 0x806BD9714632DFF6},
332 {0x80E8A40ECCD228A4, 0xA086CFCD97BF97F3},
333 {0x6122CD128006B2CD, 0xC8A883C0FDAF7DF0},
334 {0x796B805720085F81, 0xFAD2A4B13D1B5D6C},
335 {0xCBE3303674053BB0, 0x9CC3A6EEC6311A63},
336 {0xBEDBFC4411068A9C, 0xC3F490AA77BD60FC},
337 {0xEE92FB5515482D44, 0xF4F1B4D515ACB93B},
338 {0x751BDD152D4D1C4A, 0x991711052D8BF3C5},
339 {0xD262D45A78A0635D, 0xBF5CD54678EEF0B6},
340 {0x86FB897116C87C34, 0xEF340A98172AACE4},
341 {0xD45D35E6AE3D4DA0, 0x9580869F0E7AAC0E},
342 {0x8974836059CCA109, 0xBAE0A846D2195712},
343 {0x2BD1A438703FC94B, 0xE998D258869FACD7},
344 {0x7B6306A34627DDCF, 0x91FF83775423CC06},
345 {0x1A3BC84C17B1D542, 0xB67F6455292CBF08},
346 {0x20CABA5F1D9E4A93, 0xE41F3D6A7377EECA},
347 {0x547EB47B7282EE9C, 0x8E938662882AF53E},
348 {0xE99E619A4F23AA43, 0xB23867FB2A35B28D},
349 {0x6405FA00E2EC94D4, 0xDEC681F9F4C31F31},
350 {0xDE83BC408DD3DD04, 0x8B3C113C38F9F37E},
351 {0x9624AB50B148D445, 0xAE0B158B4738705E},
352 {0x3BADD624DD9B0957, 0xD98DDAEE19068C76},
353 {0xE54CA5D70A80E5D6, 0x87F8A8D4CFA417C9},
354 {0x5E9FCF4CCD211F4C, 0xA9F6D30A038D1DBC},
355 {0x7647C3200069671F, 0xD47487CC8470652B},
356 {0x29ECD9F40041E073, 0x84C8D4DFD2C63F3B},
357 {0xF468107100525890, 0xA5FB0A17C777CF09},
358 {0x7182148D4066EEB4, 0xCF79CC9DB955C2CC},
359 {0xC6F14CD848405530, 0x81AC1FE293D599BF},
360 {0xB8ADA00E5A506A7C, 0xA21727DB38CB002F},
361 {0xA6D90811F0E4851C, 0xCA9CF1D206FDC03B},
362 {0x908F4A166D1DA663, 0xFD442E4688BD304A},
363 {0x9A598E4E043287FE, 0x9E4A9CEC15763E2E},
364 {0x40EFF1E1853F29FD, 0xC5DD44271AD3CDBA},
365 {0xD12BEE59E68EF47C, 0xF7549530E188C128},
366 {0x82BB74F8301958CE, 0x9A94DD3E8CF578B9},
367 {0xE36A52363C1FAF01, 0xC13A148E3032D6E7},
368 {0xDC44E6C3CB279AC1, 0xF18899B1BC3F8CA1},
369 {0x29AB103A5EF8C0B9, 0x96F5600F15A7B7E5},
370 {0x7415D448F6B6F0E7, 0xBCB2B812DB11A5DE},
371 {0x111B495B3464AD21, 0xEBDF661791D60F56},
372 {0xCAB10DD900BEEC34, 0x936B9FCEBB25C995},
373 {0x3D5D514F40EEA742, 0xB84687C269EF3BFB},
374 {0x0CB4A5A3112A5112, 0xE65829B3046B0AFA},
375 {0x47F0E785EABA72AB, 0x8FF71A0FE2C2E6DC},
376 {0x59ED216765690F56, 0xB3F4E093DB73A093},
377 {0x306869C13EC3532C, 0xE0F218B8D25088B8},
378 {0x1E414218C73A13FB, 0x8C974F7383725573},
379 {0xE5D1929EF90898FA, 0xAFBD2350644EEACF},
380 {0xDF45F746B74ABF39, 0xDBAC6C247D62A583},
381 {0x6B8BBA8C328EB783, 0x894BC396CE5DA772},
382 {0x066EA92F3F326564, 0xAB9EB47C81F5114F},
383 {0xC80A537B0EFEFEBD, 0xD686619BA27255A2},
384 {0xBD06742CE95F5F36, 0x8613FD0145877585},
385 {0x2C48113823B73704, 0xA798FC4196E952E7},
386 {0xF75A15862CA504C5, 0xD17F3B51FCA3A7A0},
387 {0x9A984D73DBE722FB, 0x82EF85133DE648C4},
388 {0xC13E60D0D2E0EBBA, 0xA3AB66580D5FDAF5},
389 {0x318DF905079926A8, 0xCC963FEE10B7D1B3},
390 {0xFDF17746497F7052, 0xFFBBCFE994E5C61F},
391 {0xFEB6EA8BEDEFA633, 0x9FD561F1FD0F9BD3},
392 {0xFE64A52EE96B8FC0, 0xC7CABA6E7C5382C8},
393 {0x3DFDCE7AA3C673B0, 0xF9BD690A1B68637B},
394 {0x06BEA10CA65C084E, 0x9C1661A651213E2D},
395 {0x486E494FCFF30A62, 0xC31BFA0FE5698DB8},
396 {0x5A89DBA3C3EFCCFA, 0xF3E2F893DEC3F126},
397 {0xF89629465A75E01C, 0x986DDB5C6B3A76B7},
398 {0xF6BBB397F1135823, 0xBE89523386091465},
399 {0x746AA07DED582E2C, 0xEE2BA6C0678B597F},
400 {0xA8C2A44EB4571CDC, 0x94DB483840B717EF},
401 {0x92F34D62616CE413, 0xBA121A4650E4DDEB},
402 {0x77B020BAF9C81D17, 0xE896A0D7E51E1566},
403 {0x0ACE1474DC1D122E, 0x915E2486EF32CD60},
404 {0x0D819992132456BA, 0xB5B5ADA8AAFF80B8},
405 {0x10E1FFF697ED6C69, 0xE3231912D5BF60E6},
406 {0xCA8D3FFA1EF463C1, 0x8DF5EFABC5979C8F},
407 {0xBD308FF8A6B17CB2, 0xB1736B96B6FD83B3},
408 {0xAC7CB3F6D05DDBDE, 0xDDD0467C64BCE4A0},
409 {0x6BCDF07A423AA96B, 0x8AA22C0DBEF60EE4},
410 {0x86C16C98D2C953C6, 0xAD4AB7112EB3929D},
411 {0xE871C7BF077BA8B7, 0xD89D64D57A607744},
412 {0x11471CD764AD4972, 0x87625F056C7C4A8B},
413 {0xD598E40D3DD89BCF, 0xA93AF6C6C79B5D2D},
414 {0x4AFF1D108D4EC2C3, 0xD389B47879823479},
415 {0xCEDF722A585139BA, 0x843610CB4BF160CB},
416 {0xC2974EB4EE658828, 0xA54394FE1EEDB8FE},
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711 {0x6462D92A69731732, 0xA1BA1BA79E1632DC},
712 {0x7D7B8F7503CFDCFE, 0xCA28A291859BBF93},
713 {0x5CDA735244C3D43E, 0xFCB2CB35E702AF78},
714 {0x3A0888136AFA64A7, 0x9DEFBF01B061ADAB},
715 {0x088AAA1845B8FDD0, 0xC56BAEC21C7A1916},
716 {0x8AAD549E57273D45, 0xF6C69A72A3989F5B},
717 {0x36AC54E2F678864B, 0x9A3C2087A63F6399},
718 {0x84576A1BB416A7DD, 0xC0CB28A98FCF3C7F},
719 {0x656D44A2A11C51D5, 0xF0FDF2D3F3C30B9F},
720 {0x9F644AE5A4B1B325, 0x969EB7C47859E743},
721 {0x873D5D9F0DDE1FEE, 0xBC4665B596706114},
722 {0xA90CB506D155A7EA, 0xEB57FF22FC0C7959},
723 {0x09A7F12442D588F2, 0x9316FF75DD87CBD8},
724 {0x0C11ED6D538AEB2F, 0xB7DCBF5354E9BECE},
725 {0x8F1668C8A86DA5FA, 0xE5D3EF282A242E81},
726 {0xF96E017D694487BC, 0x8FA475791A569D10},
727 {0x37C981DCC395A9AC, 0xB38D92D760EC4455},
728 {0x85BBE253F47B1417, 0xE070F78D3927556A},
729 {0x93956D7478CCEC8E, 0x8C469AB843B89562},
730 {0x387AC8D1970027B2, 0xAF58416654A6BABB},
731 {0x06997B05FCC0319E, 0xDB2E51BFE9D0696A},
732 {0x441FECE3BDF81F03, 0x88FCF317F22241E2},
733 {0xD527E81CAD7626C3, 0xAB3C2FDDEEAAD25A},
734 {0x8A71E223D8D3B074, 0xD60B3BD56A5586F1},
735 {0xF6872D5667844E49, 0x85C7056562757456},
736 {0xB428F8AC016561DB, 0xA738C6BEBB12D16C},
737 {0xE13336D701BEBA52, 0xD106F86E69D785C7},
738 {0xECC0024661173473, 0x82A45B450226B39C},
739 {0x27F002D7F95D0190, 0xA34D721642B06084},
740 {0x31EC038DF7B441F4, 0xCC20CE9BD35C78A5},
741 {0x7E67047175A15271, 0xFF290242C83396CE},
742 {0x0F0062C6E984D386, 0x9F79A169BD203E41},
743 {0x52C07B78A3E60868, 0xC75809C42C684DD1},
744 {0xA7709A56CCDF8A82, 0xF92E0C3537826145},
745 {0x88A66076400BB691, 0x9BBCC7A142B17CCB},
746 {0x6ACFF893D00EA435, 0xC2ABF989935DDBFE},
747 {0x0583F6B8C4124D43, 0xF356F7EBF83552FE},
748 {0xC3727A337A8B704A, 0x98165AF37B2153DE},
749 {0x744F18C0592E4C5C, 0xBE1BF1B059E9A8D6},
750 {0x1162DEF06F79DF73, 0xEDA2EE1C7064130C},
751 {0x8ADDCB5645AC2BA8, 0x9485D4D1C63E8BE7},
752 {0x6D953E2BD7173692, 0xB9A74A0637CE2EE1},
753 {0xC8FA8DB6CCDD0437, 0xE8111C87C5C1BA99},
754 {0x1D9C9892400A22A2, 0x910AB1D4DB9914A0},
755 {0x2503BEB6D00CAB4B, 0xB54D5E4A127F59C8},
756 {0x2E44AE64840FD61D, 0xE2A0B5DC971F303A},
757 {0x5CEAECFED289E5D2, 0x8DA471A9DE737E24},
758 {0x7425A83E872C5F47, 0xB10D8E1456105DAD},
759 {0xD12F124E28F77719, 0xDD50F1996B947518},
760 {0x82BD6B70D99AAA6F, 0x8A5296FFE33CC92F},
761 {0x636CC64D1001550B, 0xACE73CBFDC0BFB7B},
762 {0x3C47F7E05401AA4E, 0xD8210BEFD30EFA5A},
763 {0x65ACFAEC34810A71, 0x8714A775E3E95C78},
764 {0x7F1839A741A14D0D, 0xA8D9D1535CE3B396},
765 {0x1EDE48111209A050, 0xD31045A8341CA07C},
766 {0x934AED0AAB460432, 0x83EA2B892091E44D},
767 {0xF81DA84D5617853F, 0xA4E4B66B68B65D60},
768 {0x36251260AB9D668E, 0xCE1DE40642E3F4B9},
769 {0xC1D72B7C6B426019, 0x80D2AE83E9CE78F3},
770 {0xB24CF65B8612F81F, 0xA1075A24E4421730},
771 {0xDEE033F26797B627, 0xC94930AE1D529CFC},
772 {0x169840EF017DA3B1, 0xFB9B7CD9A4A7443C},
773 {0x8E1F289560EE864E, 0x9D412E0806E88AA5},
774 {0xF1A6F2BAB92A27E2, 0xC491798A08A2AD4E},
775 {0xAE10AF696774B1DB, 0xF5B5D7EC8ACB58A2},
776 {0xACCA6DA1E0A8EF29, 0x9991A6F3D6BF1765},
777 {0x17FD090A58D32AF3, 0xBFF610B0CC6EDD3F},
778 {0xDDFC4B4CEF07F5B0, 0xEFF394DCFF8A948E},
779 {0x4ABDAF101564F98E, 0x95F83D0A1FB69CD9},
780 {0x9D6D1AD41ABE37F1, 0xBB764C4CA7A4440F},
781 {0x84C86189216DC5ED, 0xEA53DF5FD18D5513},
782 {0x32FD3CF5B4E49BB4, 0x92746B9BE2F8552C},
783 {0x3FBC8C33221DC2A1, 0xB7118682DBB66A77},
784 {0x0FABAF3FEAA5334A, 0xE4D5E82392A40515},
785 {0x29CB4D87F2A7400E, 0x8F05B1163BA6832D},
786 {0x743E20E9EF511012, 0xB2C71D5BCA9023F8},
787 {0x914DA9246B255416, 0xDF78E4B2BD342CF6},
788 {0x1AD089B6C2F7548E, 0x8BAB8EEFB6409C1A},
789 {0xA184AC2473B529B1, 0xAE9672ABA3D0C320},
790 {0xC9E5D72D90A2741E, 0xDA3C0F568CC4F3E8},
791 {0x7E2FA67C7A658892, 0x8865899617FB1871},
792 {0xDDBB901B98FEEAB7, 0xAA7EEBFB9DF9DE8D},
793 {0x552A74227F3EA565, 0xD51EA6FA85785631},
794 {0xD53A88958F87275F, 0x8533285C936B35DE},
795 {0x8A892ABAF368F137, 0xA67FF273B8460356},
796 {0x2D2B7569B0432D85, 0xD01FEF10A657842C},
797 {0x9C3B29620E29FC73, 0x8213F56A67F6B29B},
798 {0x8349F3BA91B47B8F, 0xA298F2C501F45F42},
799 {0x241C70A936219A73, 0xCB3F2F7642717713},
800 {0xED238CD383AA0110, 0xFE0EFB53D30DD4D7},
801 {0xF4363804324A40AA, 0x9EC95D1463E8A506},
802 {0xB143C6053EDCD0D5, 0xC67BB4597CE2CE48},
803 {0xDD94B7868E94050A, 0xF81AA16FDC1B81DA},
804 {0xCA7CF2B4191C8326, 0x9B10A4E5E9913128},
805 {0xFD1C2F611F63A3F0, 0xC1D4CE1F63F57D72},
806 {0xBC633B39673C8CEC, 0xF24A01A73CF2DCCF},
807 {0xD5BE0503E085D813, 0x976E41088617CA01},
808 {0x4B2D8644D8A74E18, 0xBD49D14AA79DBC82},
809 {0xDDF8E7D60ED1219E, 0xEC9C459D51852BA2},
810 {0xCABB90E5C942B503, 0x93E1AB8252F33B45},
811 {0x3D6A751F3B936243, 0xB8DA1662E7B00A17},
812 {0x0CC512670A783AD4, 0xE7109BFBA19C0C9D},
813 {0x27FB2B80668B24C5, 0x906A617D450187E2},
814 {0xB1F9F660802DEDF6, 0xB484F9DC9641E9DA},
815 {0x5E7873F8A0396973, 0xE1A63853BBD26451},
816 {0xDB0B487B6423E1E8, 0x8D07E33455637EB2},
817 {0x91CE1A9A3D2CDA62, 0xB049DC016ABC5E5F},
818 {0x7641A140CC7810FB, 0xDC5C5301C56B75F7},
819 {0xA9E904C87FCB0A9D, 0x89B9B3E11B6329BA},
820 {0x546345FA9FBDCD44, 0xAC2820D9623BF429},
821 {0xA97C177947AD4095, 0xD732290FBACAF133},
822 {0x49ED8EABCCCC485D, 0x867F59A9D4BED6C0},
823 {0x5C68F256BFFF5A74, 0xA81F301449EE8C70},
824 {0x73832EEC6FFF3111, 0xD226FC195C6A2F8C},
825 {0xC831FD53C5FF7EAB, 0x83585D8FD9C25DB7},
826 {0xBA3E7CA8B77F5E55, 0xA42E74F3D032F525},
827 {0x28CE1BD2E55F35EB, 0xCD3A1230C43FB26F},
828 {0x7980D163CF5B81B3, 0x80444B5E7AA7CF85},
829 {0xD7E105BCC332621F, 0xA0555E361951C366},
830 {0x8DD9472BF3FEFAA7, 0xC86AB5C39FA63440},
831 {0xB14F98F6F0FEB951, 0xFA856334878FC150},
832 {0x6ED1BF9A569F33D3, 0x9C935E00D4B9D8D2},
833 {0x0A862F80EC4700C8, 0xC3B8358109E84F07},
834 {0xCD27BB612758C0FA, 0xF4A642E14C6262C8},
835 {0x8038D51CB897789C, 0x98E7E9CCCFBD7DBD},
836 {0xE0470A63E6BD56C3, 0xBF21E44003ACDD2C},
837 {0x1858CCFCE06CAC74, 0xEEEA5D5004981478},
838 {0x0F37801E0C43EBC8, 0x95527A5202DF0CCB},
839 {0xD30560258F54E6BA, 0xBAA718E68396CFFD},
840 {0x47C6B82EF32A2069, 0xE950DF20247C83FD},
841 {0x4CDC331D57FA5441, 0x91D28B7416CDD27E},
842 {0xE0133FE4ADF8E952, 0xB6472E511C81471D},
843 {0x58180FDDD97723A6, 0xE3D8F9E563A198E5},
844 {0x570F09EAA7EA7648, 0x8E679C2F5E44FF8F},
845 {0x2CD2CC6551E513DA, 0xB201833B35D63F73},
846 {0xF8077F7EA65E58D1, 0xDE81E40A034BCF4F},
847 {0xFB04AFAF27FAF782, 0x8B112E86420F6191},
848 {0x79C5DB9AF1F9B563, 0xADD57A27D29339F6},
849 {0x18375281AE7822BC, 0xD94AD8B1C7380874},
850 {0x8F2293910D0B15B5, 0x87CEC76F1C830548},
851 {0xB2EB3875504DDB22, 0xA9C2794AE3A3C69A},
852 {0x5FA60692A46151EB, 0xD433179D9C8CB841},
853 {0xDBC7C41BA6BCD333, 0x849FEEC281D7F328},
854 {0x12B9B522906C0800, 0xA5C7EA73224DEFF3},
855 {0xD768226B34870A00, 0xCF39E50FEAE16BEF},
856 {0xE6A1158300D46640, 0x81842F29F2CCE375},
857 {0x60495AE3C1097FD0, 0xA1E53AF46F801C53},
858 {0x385BB19CB14BDFC4, 0xCA5E89B18B602368},
859 {0x46729E03DD9ED7B5, 0xFCF62C1DEE382C42},
860 {0x6C07A2C26A8346D1, 0x9E19DB92B4E31BA9},
861 {0xC7098B7305241885, 0xC5A05277621BE293},
862 {0xB8CBEE4FC66D1EA7, 0xF70867153AA2DB38},
863 {0x737F74F1DC043328, 0x9A65406D44A5C903},
864 {0x505F522E53053FF2, 0xC0FE908895CF3B44},
865 {0x647726B9E7C68FEF, 0xF13E34AABB430A15},
866 {0x5ECA783430DC19F5, 0x96C6E0EAB509E64D},
867 {0xB67D16413D132072, 0xBC789925624C5FE0},
868 {0xE41C5BD18C57E88F, 0xEB96BF6EBADF77D8},
869 {0x8E91B962F7B6F159, 0x933E37A534CBAAE7},
870 {0x723627BBB5A4ADB0, 0xB80DC58E81FE95A1},
871 {0xCEC3B1AAA30DD91C, 0xE61136F2227E3B09},
872 {0x213A4F0AA5E8A7B1, 0x8FCAC257558EE4E6},
873 {0xA988E2CD4F62D19D, 0xB3BD72ED2AF29E1F},
874 {0x93EB1B80A33B8605, 0xE0ACCFA875AF45A7},
875 {0xBC72F130660533C3, 0x8C6C01C9498D8B88},
876 {0xEB8FAD7C7F8680B4, 0xAF87023B9BF0EE6A},
877 {0xA67398DB9F6820E1, 0xDB68C2CA82ED2A05},
878 {0x88083F8943A1148C, 0x892179BE91D43A43},
879 {0x6A0A4F6B948959B0, 0xAB69D82E364948D4},
880 {0x848CE34679ABB01C, 0xD6444E39C3DB9B09},
881 {0xF2D80E0C0C0B4E11, 0x85EAB0E41A6940E5},
882 {0x6F8E118F0F0E2195, 0xA7655D1D2103911F},
883 {0x4B7195F2D2D1A9FB, 0xD13EB46469447567},
884 }
885
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