Ryan Henry
0d22946a0e
Ship the TLS mesh, composer, Beaver/Yao/leaf MPC, prep/online paths, apps, and docs so the tree is pushable before elevating share_expr, security_mode, and prep resume. Co-authored-by: Cursor <cursoragent@cursor.com>
573 lines
52 KiB
PHP
573 lines
52 KiB
PHP
// Generated on mocha2.
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// Sollya fpminimax chose the knots (absolute error at most half an ulp).
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// Each cubic is the best of Sollya, Mathematica Remez, Maple numapprox[minimax],
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// and MATLAB/Chebfun minimax after rounding coefficients to 2^{-(k+16)}.
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// Wins: sollya 229, mathematica 57, maple 83, matlab 74.
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// lecun is the positive half of an odd map; hard covers (-1, 0).
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// Do not edit.
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#pragma once
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static constexpr std::int64_t LECUN_K8_KNOTS[] = {
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0, 383, 1009, 1568,
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};
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static constexpr grotto::principal_detail::cubic_bits LECUN_K8_PIECES[] = {
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{{-1, 0, -1, -1}, {18446744073709518887u, 19879543u, 18446744073707350723u, 18446744073708678990u}},
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{{0, 0, -1, 0}, {1369262u, 20958552u, 18446744073703958873u, 513285u}},
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{{0, 0, -1, 0}, {22332031u, 3254646u, 18446744073708996626u, 31889u}},
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};
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static constexpr window_table LECUN_K8_TABLE{LECUN_K8_KNOTS, LECUN_K8_PIECES, 3, 24};
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static constexpr std::int64_t LECUN_K12_KNOTS[] = {
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0, 3129, 6621, 11508, 17406, 28255, 33599,
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};
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static constexpr grotto::principal_detail::cubic_bits LECUN_K12_PIECES[] = {
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{{-1, 0, -1, -1}, {18446744073709518858u, 308329774u, 18446744073702232285u, 18446744073675757155u}},
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{{-1, 0, -1, 0}, {18446744073689930871u, 380575836u, 18446744073610147456u, 6887314u}},
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{{-1, 0, -1, 0}, {18446744073689755640u, 394392918u, 18446744073593147938u, 12172877u}},
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{{0, 0, -1, 0}, {177037131u, 185326574u, 18446744073667763856u, 3225167u}},
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{{0, 0, -1, 0}, {390485523u, 32617477u, 18446744073704444953u, 268275u}},
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{{0, 0, -1, 0}, {451036331u, 3404431u, 18446744073709144606u, 16335u}},
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};
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static constexpr window_table LECUN_K12_TABLE{LECUN_K12_KNOTS, LECUN_K12_PIECES, 6, 28};
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static constexpr std::int64_t LECUN_K16_KNOTS[] = {
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0, 27842, 51540, 76847, 110765, 151905, 190667, 234650, 289038, 363024, 481574, 673861,
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};
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static constexpr grotto::principal_detail::cubic_bits LECUN_K16_PIECES[] = {
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{{-1, 0, -1, -1}, {18446744073709518850u, 4915378338u, 18446744073686733153u, 18446744073045696549u}},
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{{-1, 0, -1, -1}, {18446744073681885059u, 5097087359u, 18446744073277580677u, 18446744073362394777u}},
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{{-1, 0, -1, -1}, {18446744073514829235u, 5725188408u, 18446744072483332962u, 18446744073700230733u}},
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{{-1, 0, -1, 0}, {18446744073170365398u, 6606619909u, 18446744071727358066u, 207979072u}},
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{{-1, 0, -1, 0}, {18446744073172517333u, 6645609937u, 18446744071678863789u, 222590154u}},
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{{0, 0, -1, 0}, {509982623u, 5298834044u, 18446744072257826522u, 139407694u}},
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{{0, 0, -1, 0}, {2215930476u, 3540863264u, 18446744072862840848u, 69869304u}},
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{{0, 0, -1, 0}, {4129924971u, 1934719556u, 18446744073312901862u, 27758440u}},
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{{0, 0, -1, 0}, {5805080174u, 790995162u, 18446744073573693035u, 7899519u}},
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{{0, 0, -1, 0}, {6908592007u, 188565949u, 18446744073683586729u, 1201533u}},
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{{0, 0, -1, 0}, {7316087307u, 16700500u, 18446744073707813339u, 60438u}},
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};
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static constexpr window_table LECUN_K16_TABLE{LECUN_K16_KNOTS, LECUN_K16_PIECES, 11, 32};
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static constexpr std::int64_t LECUN_K20_KNOTS[] = {
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0, 253281, 455655, 646305, 836137, 1032680, 1244523, 1487011, 1823522, 2174766, 2481618, 2788121, 3107684, 3449680, 3823463, 4240298, 4715450, 5271108, 5943196, 6796607, 7967909, 9843000, 12962227,
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};
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static constexpr grotto::principal_detail::cubic_bits LECUN_K20_PIECES[] = {
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{{-1, 0, -1, -1}, {18446744073709518848u, 78614387265u, 18446744073639754453u, 18446744062405429372u}},
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{{-1, 0, -1, -1}, {18446744073679058043u, 78966242347u, 18446744072251108313u, 18446744064285203992u}},
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{{-1, 0, -1, -1}, {18446744073457774630u, 80467144554u, 18446744068832862089u, 18446744066899785276u}},
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{{-1, 0, -1, -1}, {18446744072783795589u, 83723937511u, 18446744063568506500u, 18446744069746400013u}},
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{{-1, 0, -1, -1}, {18446744071401336003u, 88907021452u, 18446744057076831498u, 18446744072462599604u}},
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{{-1, 0, -1, 0}, {18446744069191983778u, 95626901405u, 18446744050252883305u, 1066643240u}},
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{{-1, 0, -1, 0}, {18446744066336069910u, 102846196402u, 18446744044161565653u, 2782148181u}},
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{{-1, 0, -1, 0}, {18446744063597577859u, 108658845793u, 18446744040043356347u, 3756029371u}},
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{{-1, 0, -1, 0}, {18446744063947224258u, 108187129792u, 18446744040239112344u, 3732972174u}},
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{{-1, 0, -1, 0}, {18446744069327961135u, 100432772209u, 18446744043967391682u, 3134928569u}},
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{{0, 0, -1, 0}, {4687713165u, 88950743181u, 18446744048815967368u, 2452022353u}},
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{{0, 0, -1, 0}, {16669814040u, 75438507130u, 18446744053897872925u, 1814594476u}},
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{{0, 0, -1, 0}, {30712957096u, 61224830561u, 18446744058695549188u, 1274539932u}},
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{{0, 0, -1, 0}, {45890801524u, 47381784876u, 18446744062905967187u, 847478435u}},
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{{0, 0, -1, 0}, {61259637747u, 34731800988u, 18446744066378202736u, 529646080u}},
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{{0, 0, -1, 0}, {75918947020u, 23849210951u, 18446744069072386194u, 307213947u}},
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{{0, 0, -1, 0}, {89062975333u, 15071931076u, 18446744071027094838u, 162038289u}},
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{{0, 0, -1, 0}, {100036599329u, 8513577758u, 18446744072334338191u, 75135532u}},
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{{0, 0, -1, 0}, {108395156698u, 4079891827u, 18446744073118780945u, 28842254u}},
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{{0, 0, -1, 0}, {113961841782u, 1494360487u, 18446744073519416657u, 8131715u}},
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{{0, 0, -1, 0}, {116909704342u, 322678052u, 18446744073674846813u, 1250419u}},
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{{0, 0, -1, 0}, {117816434010u, 25499182u, 18446744073707365211u, 62576u}},
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};
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static constexpr window_table LECUN_K20_TABLE{LECUN_K20_KNOTS, LECUN_K20_PIECES, 22, 36};
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static constexpr std::int64_t LECUN_K24_KNOTS[] = {
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0, 2319911, 4138017, 5796790, 7375174, 8910668, 10426723, 11940836, 13467994, 15022665, 16620363, 18279501, 20024189, 21889947, 23938076, 26309249, 30033484, 32931960, 35498514, 37961920, 40396391, 42841508, 45323826, 47864318, 50481783, 53193994, 56019099, 58976844, 62088815, 65379585, 68877975, 72618384, 76642891, 81003672, 85765777, 91015916, 96870295, 103486113, 111096074, 120058481, 130974848, 144897223, 164169192, 195646119, 242282859,
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};
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static constexpr grotto::principal_detail::cubic_bits LECUN_K24_PIECES[] = {
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{{-1, 0, -1, -1}, {18446744073709518848u, 1257774779783u, 18446744073497344033u, 18446743889184923569u}},
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{{-1, 0, -1, -1}, {18446744073678102803u, 1258408492611u, 18446744069132721481u, 18446743899488534307u}},
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{{-1, 0, -1, -1}, {18446744073438003380u, 1261275869088u, 18446744057639497821u, 18446743914954145489u}},
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{{-1, 0, -1, -1}, {18446744072647888664u, 1268081813507u, 18446744038035814342u, 18446743933836576505u}},
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{{-1, 0, -1, -1}, {18446744070840434469u, 1280363243694u, 18446744010167913735u, 18446743954953918307u}},
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{{-1, 0, -1, -1}, {18446744067470346842u, 1299348139081u, 18446743974475162292u, 18446743977349326053u}},
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{{-1, 0, -1, -1}, {18446744061969652321u, 1325853931262u, 18446743931864060151u, 18446744000203445293u}},
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{{-1, 0, -1, -1}, {18446744053808696042u, 1360211131783u, 18446743883617589122u, 18446744022802219327u}},
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{{-1, 0, -1, -1}, {18446744042561957360u, 1402205941184u, 18446743831320258705u, 18446744044523155480u}},
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{{-1, 0, -1, -1}, {18446744027978886410u, 1451036368954u, 18446743776793527929u, 18446744064828289276u}},
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{{-1, 0, -1, 0}, {18446744010061561228u, 1505275654164u, 18446743722040685829u, 9549839095u}},
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{{-1, 0, -1, 0}, {18446743989154693317u, 1562831477099u, 18446743669205340913u, 25722993268u}},
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{{-1, 0, -1, 0}, {18446743966061353524u, 1620879110938u, 18446743620552611649u, 39320354817u}},
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{{-1, 0, -1, 0}, {18446743942221114319u, 1675711478149u, 18446743578500764475u, 50073972321u}},
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{{-1, 0, -1, 0}, {18446743920075669673u, 1722312452690u, 18446743545801804755u, 57724663849u}},
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{{-1, 0, -1, 0}, {18446743904369315072u, 1752453603693u, 18446743526513040474u, 61840965450u}},
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{{-1, 0, -1, 0}, {18446743912904582819u, 1738510504673u, 18446743534101846493u, 60464874518u}},
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{{-1, 0, -1, 0}, {18446743944070543369u, 1690954835687u, 18446743558296602439u, 56360586341u}},
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{{-1, 0, -1, 0}, {18446743991987200352u, 1623066407638u, 18446743590364714282u, 51310258568u}},
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{{-1, 0, -1, 0}, {18446744054922737606u, 1539659486770u, 18446743627216781539u, 45881815327u}},
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{{0, 0, -1, 0}, {57684257897u, 1444406681827u, 18446743666771919862u, 40405699769u}},
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{{0, 0, -1, 0}, {146162521632u, 1340477432551u, 18446743707470330127u, 35092507113u}},
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{{0, 0, -1, 0}, {245012085861u, 1230717517263u, 18446743748100344102u, 30078506521u}},
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{{0, 0, -1, 0}, {352498742026u, 1117696271097u, 18446743787718734167u, 25448679788u}},
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{{0, 0, -1, 0}, {466805407877u, 1003731027165u, 18446743825598071936u, 21251462995u}},
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{{0, 0, -1, 0}, {586053165481u, 890897353275u, 18446743861190278738u, 17508644539u}},
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{{0, 0, -1, 0}, {708345006456u, 781015491303u, 18446743894104334047u, 14221917688u}},
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{{0, 0, -1, 0}, {831791198010u, 675655890057u, 18446743924081950099u, 11378461166u}},
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{{0, 0, -1, 0}, {954531258834u, 576146474573u, 18446743950976776300u, 8955201228u}},
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{{0, 0, -1, 0}, {1074771483667u, 483567494257u, 18446743974739837274u, 6921815786u}},
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{{0, 0, -1, 0}, {1190813485226u, 398756096934u, 18446743995404187559u, 5243329580u}},
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{{0, 0, -1, 0}, {1301080682746u, 322313528698u, 18446744013070847321u, 3882186399u}},
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{{0, 0, -1, 0}, {1404141224096u, 254615663350u, 18446744027895691614u, 2799910830u}},
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{{0, 0, -1, 0}, {1498719777812u, 195830681643u, 18446744040076493073u, 1958474957u}},
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{{0, 0, -1, 0}, {1583748437920u, 145912670171u, 18446744049846370749u, 1321003434u}},
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{{0, 0, -1, 0}, {1658401744257u, 104610454422u, 18446744057464407604u, 852559004u}},
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{{0, 0, -1, 0}, {1722091109725u, 71499705766u, 18446744063203243852u, 520946229u}},
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{{0, 0, -1, 0}, {1774535817434u, 45973972528u, 18446744067345315116u, 296857787u}},
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{{0, 0, -1, 0}, {1815816349961u, 27254187151u, 18446744070175621840u, 154184437u}},
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{{0, 0, -1, 0}, {1846399383973u, 14416484753u, 18446744071972392335u, 70335818u}},
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{{0, 0, -1, 0}, {1867135549110u, 6432456865u, 18446744072997450474u, 26451763u}},
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{{0, 0, -1, 0}, {1879389944043u, 2162553158u, 18446744073493629591u, 7223027u}},
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{{0, 0, -1, 0}, {1885071924774u, 410017389u, 18446744073673956180u, 1033304u}},
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{{0, 0, -1, 0}, {1886511394554u, 30436274u, 18446744073707352136u, 53047u}},
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};
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static constexpr window_table LECUN_K24_TABLE{LECUN_K24_KNOTS, LECUN_K24_PIECES, 44, 40};
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static constexpr std::int64_t LECUN_K28_KNOTS[] = {
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0, 21296064, 37881820, 52865109, 66937135, 80407373, 93452173, 106186493, 118692214, 131031619, 143254606, 155402938, 167512998, 179617460, 191746701, 203929846, 216195546, 228572773, 241091551, 253783873, 266684514, 279832246, 293271478, 307054317, 321243781, 335918651, 351181335, 367172127, 384097121, 402291139, 422400238, 446223520, 484774210, 508801036, 530618967, 551369200, 571510883, 591291937, 610870275, 630354793, 649828991, 669358532, 688997611, 708794293, 728791247, 749029604, 769544037, 790373730, 811552601, 833116468, 855102820, 877546519, 900488928, 923966741, 948024795, 972707536, 998062550, 1024140162, 1051000122, 1078699236, 1107308363, 1136896837, 1167547770, 1199348540, 1232400838, 1266813627, 1302707951, 1340231673, 1379550616, 1420854987, 1464367868, 1510328169, 1559037281, 1610864767, 1666250962, 1725666717, 1789808468, 1859496629, 1935803122, 2019999212, 2114115991, 2220570365, 2343201785, 2487988312, 2664439417, 2890577070, 3204792600, 3726439513, 4434721554,
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};
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static constexpr grotto::principal_detail::cubic_bits LECUN_K28_PIECES[] = {
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{{-1, 0, -1, -1}, {18446744073709518848u, 20124299830275u, 18446744073065634869u, 18446741101906119012u}},
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{{-1, 0, -1, -1}, {18446744073677785063u, 20125415447680u, 18446744059677249364u, 18446741156965780529u}},
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{{-1, 0, -1, -1}, {18446744073431364491u, 20130557950228u, 18446744023662605776u, 18446741241629280780u}},
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{{-1, 0, -1, -1}, {18446744072601716733u, 20143093754073u, 18446743960331698254u, 18446741348609804059u}},
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{{-1, 0, -1, -1}, {18446744070647461618u, 20166498830405u, 18446743866732701220u, 18446741473598574129u}},
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{{-1, 0, -1, -1}, {18446744066871002840u, 20204213200278u, 18446743741044437832u, 18446741613380464365u}},
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{{-1, 0, -1, -1}, {18446744060438132907u, 20259538500345u, 18446743582312811590u, 18446741765303994140u}},
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{{-1, 0, -1, -1}, {18446744050400154112u, 20335557126290u, 18446743390301471013u, 18446741927062641690u}},
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{{-1, 0, -1, -1}, {18446744035718185546u, 20435064892551u, 18446743165392937529u, 18446742096586772408u}},
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{{-1, 0, -1, -1}, {18446744015289361273u, 20560513602627u, 18446742908515292137u, 18446742271984487250u}},
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{{-1, 0, -1, -1}, {18446743987974700821u, 20713961364682u, 18446742621083556607u, 18446742451506795225u}},
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{{-1, 0, -1, -1}, {18446743952628339243u, 20897030004889u, 18446742304948985197u, 18446742633526713969u}},
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{{-1, 0, -1, -1}, {18446743908128211404u, 21110867245022u, 18446741962355919189u, 18446742816524993050u}},
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{{-1, 0, -1, -1}, {18446743853408051615u, 21356113508346u, 18446741595902784148u, 18446742999080747472u}},
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{{-1, 0, -1, -1}, {18446743787490162224u, 21632874844393u, 18446741208503380012u, 18446743179866379742u}},
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{{-1, 0, -1, -1}, {18446743709519555674u, 21940698366326u, 18446740803352854654u, 18446743357643040084u}},
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{{-1, 0, -1, -1}, {18446743618799449977u, 22278550438730u, 18446740383896185412u, 18446743531257187064u}},
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{{-1, 0, -1, -1}, {18446743514828144218u, 22644797577511u, 18446739953798249048u, 18446743699638100514u}},
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{{-1, 0, -1, -1}, {18446743397337348499u, 23037189941702u, 18446739516914963329u, 18446743861796144162u}},
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{{-1, 0, -1, -1}, {18446743266333251222u, 23452843585269u, 18446739077269066170u, 18446744016820229847u}},
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{{-1, 0, -1, 0}, {18446743122141397336u, 23888219823420u, 18446738639030502335u, 90165182646u}},
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{{-1, 0, -1, 0}, {18446742965455203558u, 24339104239439u, 18446738206497483031u, 228487690085u}},
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{{-1, 0, -1, 0}, {18446742797392018223u, 24800576192489u, 18446737784086000175u, 357384983710u}},
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{{-1, 0, -1, 0}, {18446742619560132447u, 25266964390128u, 18446737376328730066u, 476227574323u}},
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{{-1, 0, -1, 0}, {18446742434142098717u, 25731781204874u, 18446736987886086575u, 584442501965u}},
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{{-1, 0, -1, 0}, {18446742244006810883u, 26187614937580u, 18446736623581366827u, 681501929268u}},
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{{-1, 0, -1, 0}, {18446742052868612182u, 26625954257490u, 18446736288471017068u, 766906223209u}},
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{{-1, 0, -1, 0}, {18446741865533853633u, 27036882118964u, 18446735987982588277u, 840155752192u}},
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{{-1, 0, -1, 0}, {18446741688333751402u, 27408481376413u, 18446735728204813780u, 900696167803u}},
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{{-1, 0, -1, 0}, {18446741530000522341u, 27725546527377u, 18446735516542227593u, 947800274977u}},
|
|
{{-1, 0, -1, 0}, {18446741403980434551u, 27965984352422u, 18446735363612721759u, 980227153200u}},
|
|
{{-1, 0, -1, 0}, {18446741348296964153u, 28067395007143u, 18446735302049875928u, 992684679073u}},
|
|
{{-1, 0, -1, 0}, {18446741451063927077u, 27897028406762u, 18446735396205370025u, 975337156825u}},
|
|
{{-1, 0, -1, 0}, {18446741640337715831u, 27597649025792u, 18446735554063804087u, 947589376388u}},
|
|
{{-1, 0, -1, 0}, {18446741903236388302u, 27198799660417u, 18446735755778246237u, 913582034836u}},
|
|
{{-1, 0, -1, 0}, {18446742234142829797u, 26715608497302u, 18446735990977668562u, 875417757949u}},
|
|
{{-1, 0, -1, 0}, {18446742629225242390u, 26159001455178u, 18446736252380599419u, 834494238800u}},
|
|
{{-1, 0, -1, 0}, {18446743085299038543u, 25537936630695u, 18446736534308136294u, 791832670284u}},
|
|
{{-1, 0, -1, 0}, {18446743599397539783u, 24860273398859u, 18446736832076618321u, 748217180469u}},
|
|
{{0, 0, -1, 0}, {94881463914u, 24133162626813u, 18446737141702497290u, 704266061451u}},
|
|
{{0, 0, -1, 0}, {716203055589u, 23363234444820u, 18446737459740500008u, 660473247712u}},
|
|
{{0, 0, -1, 0}, {1386569575955u, 22556757216059u, 18446737783159945748u, 617238356098u}},
|
|
{{0, 0, -1, 0}, {2102795298693u, 21719661048553u, 18446738109292649146u, 574883139671u}},
|
|
{{0, 0, -1, 0}, {2861593790618u, 20857569715477u, 18446738435785064444u, 533665234839u}},
|
|
{{0, 0, -1, 0}, {3659596365633u, 19975807915038u, 18446738760566200023u, 493788201720u}},
|
|
{{0, 0, -1, 0}, {4493285912079u, 19079496914872u, 18446739081788160284u, 455413601833u}},
|
|
{{0, 0, -1, 0}, {5359083421480u, 18173475619582u, 18446739397835600146u, 418663550933u}},
|
|
{{0, 0, -1, 0}, {6253360632198u, 17262309170946u, 18446739707302921215u, 383626835146u}},
|
|
{{0, 0, -1, 0}, {7172367492570u, 16350377667545u, 18446740008948506425u, 350366776102u}},
|
|
{{0, 0, -1, 0}, {8112376373349u, 15441745336834u, 18446740301724535739u, 318920157897u}},
|
|
{{0, 0, -1, 0}, {9069578420349u, 14540279433051u, 18446740584724215660u, 289305035263u}},
|
|
{{0, 0, -1, 0}, {10040183235840u, 13649566478286u, 18446740857197506149u, 261520640352u}},
|
|
{{0, 0, -1, 0}, {11020376929601u, 12772967316514u, 18446741118522506130u, 235551855605u}},
|
|
{{0, 0, -1, 0}, {12006349528286u, 11913602762813u, 18446741368200772412u, 211370827881u}},
|
|
{{0, 0, -1, 0}, {12994386103928u, 11074289771036u, 18446741605865956416u, 188937284256u}},
|
|
{{0, 0, -1, 0}, {13980755163191u, 10257652006184u, 18446741831243264779u, 168203354476u}},
|
|
{{0, 0, -1, 0}, {14961772523120u, 9466075311091u, 18446742044155224523u, 149113708952u}},
|
|
{{0, 0, -1, 0}, {15933910361132u, 8701634512227u, 18446742244533526321u, 131605232879u}},
|
|
{{0, 0, -1, 0}, {16893680786237u, 7966203249811u, 18446742432382029214u, 115610966919u}},
|
|
{{0, 0, -1, 0}, {17837702995784u, 7261411579494u, 18446742607782346704u, 101060027026u}},
|
|
{{0, 0, -1, 0}, {18762719221770u, 6588648893217u, 18446742770886744521u, 87878653299u}},
|
|
{{0, 0, -1, 0}, {19665565371441u, 5949097239747u, 18446742921904821221u, 75991614672u}},
|
|
{{0, 0, -1, 0}, {20543247928224u, 5343689391650u, 18446743061108367804u, 65322110811u}},
|
|
{{0, 0, -1, 0}, {21392914709438u, 4773143427922u, 18446743188818275847u, 55793041185u}},
|
|
{{0, 0, -1, 0}, {22211873862539u, 4237962784994u, 18446743305400097452u, 47327522801u}},
|
|
{{0, 0, -1, 0}, {22997540957489u, 3738481673093u, 18446743411250431801u, 39849994712u}},
|
|
{{0, 0, -1, 0}, {23747627771105u, 3274756813356u, 18446743506816191590u, 33284955246u}},
|
|
{{0, 0, -1, 0}, {24460124051129u, 2846600979598u, 18446743592582105572u, 27558034688u}},
|
|
{{0, 0, -1, 0}, {25133195087626u, 2453661113386u, 18446743669051112188u, 22597380387u}},
|
|
{{0, 0, -1, 0}, {25765248102340u, 2095390956985u, 18446743736747046849u, 18333457256u}},
|
|
{{0, 0, -1, 0}, {26354815012972u, 1771129200696u, 18446743796197333290u, 14700102906u}},
|
|
{{0, 0, -1, 0}, {26900708644672u, 1480020562851u, 18446743847945935619u, 11633633643u}},
|
|
{{0, 0, -1, 0}, {27402206308373u, 1220938852461u, 18446743892563113077u, 9072307305u}},
|
|
{{0, 0, -1, 0}, {27858889386709u, 992595894927u, 18446743930622258563u, 6957702857u}},
|
|
{{0, 0, -1, 0}, {28270401797702u, 793672168699u, 18446743962676858446u, 5235857096u}},
|
|
{{0, 0, -1, 0}, {28636933282678u, 622589053793u, 18446743989296661003u, 3855141243u}},
|
|
{{0, 0, -1, 0}, {28959196694062u, 477554575969u, 18446744011055483875u, 2766954575u}},
|
|
{{0, 0, -1, 0}, {29238155900548u, 356709512464u, 18446744028506614079u, 1926866918u}},
|
|
{{0, 0, -1, 0}, {29475036561343u, 258131648168u, 18446744042181974273u, 1294443890u}},
|
|
{{0, 0, -1, 0}, {29671765968433u, 179671151116u, 18446744052613466422u, 832110378u}},
|
|
{{0, 0, -1, 0}, {29830647890417u, 119119370775u, 18446744060306510889u, 506282387u}},
|
|
{{0, 0, -1, 0}, {29954429258898u, 74200855907u, 18446744065740534323u, 287131350u}},
|
|
{{0, 0, -1, 0}, {30046574099440u, 42507013116u, 18446744069374785685u, 148202946u}},
|
|
{{0, 0, -1, 0}, {30110933497890u, 21651668853u, 18446744071627853058u, 67054139u}},
|
|
{{0, 0, -1, 0}, {30151923887417u, 9242089186u, 18446744072880441188u, 24900492u}},
|
|
{{0, 0, -1, 0}, {30174500650192u, 2934870992u, 18446744073467978243u, 6650925u}},
|
|
{{0, 0, -1, 0}, {30184110348413u, 507144103u, 18446744073672533775u, 902623u}},
|
|
{{0, 0, -1, 0}, {30186239470354u, 36092206u, 18446744073707293873u, 47127u}},
|
|
};
|
|
static constexpr window_table LECUN_K28_TABLE{LECUN_K28_KNOTS, LECUN_K28_PIECES, 88, 44};
|
|
|
|
static constexpr std::int64_t LECUN_K32_KNOTS[] = {
|
|
0, 195631931, 347682782, 484604688, 612667347, 734642359, 852081869, 965974781, 1077004548, 1185671778, 1292359608, 1397370933, 1500951724, 1603306588, 1704608708, 1805007337, 1904633420, 2003602398, 2102017899, 2199974409, 2297557907, 2394848099, 2491919208, 2588841688, 2685681914, 2782503550, 2879368025, 2976335392, 3073464088, 3170811534, 3268435071, 3366392034, 3464739747, 3563537091, 3662843131, 3762718425, 3863225833, 3964430856, 4066401283, 4169208251, 4272927520, 4377638470, 4483427570, 4590386973, 4698616150, 4808224502, 4919331821, 5032070990, 5146589881, 5263056616, 5381661513, 5502625214, 5626204156, 5752703991, 5882493135, 6016027104, 6153882685, 6296818237, 6445870392, 6602545215, 6769226129, 6950245197, 7155851395, 7450164740, 7695769067, 7901037862, 8090091491, 8269662129, 8442887057, 8611561719, 8776844637, 8939543480, 9100252155, 9259425022, 9417428692, 9574553562, 9731050280, 9887121097, 10042953268, 10198703991, 10354516599, 10510519520, 10666828241, 10823546548, 10980781522, 11138619671, 11297156308, 11456472452, 11616649723, 11777765147, 11939904542, 12103128723, 12267521054, 12433147961, 12600080171, 12768387827, 12938154343, 13109437784, 13282310215, 13456852324, 13633126833, 13811216534, 13991196441, 14173138559, 14357132087, 14543236866, 14731571133, 14922194757, 15115195155, 15310676321, 15508719424, 15709421074, 15912895787, 16119229197, 16328522098, 16540911121, 16756517676, 16975447428, 17197838567, 17423819364, 17653555261, 17887165572, 18124768245, 18366577958, 18612788131, 18863506065, 19118987959, 19379394765, 19644991695, 19915936092, 20192511418, 20474974586, 20763575503, 21058624279, 21360419022, 21669290546, 21985514357, 22309619439, 22641922393, 22982857266, 23333036709, 23692845604, 24062858906, 24443676901, 24835984420, 25240515547, 25658025589, 26089520580, 26535975653, 26998085056, 27477342798, 27975087451, 28492797106, 29032309828, 29595162439, 30183546881, 30799870890, 31447092756, 32128748501, 32849013653, 33611850361, 34422378686, 35286353118, 36213608574, 37212060991, 38294083464, 39475657506, 40775409262, 42219541358, 43848069770, 45712917354, 47891104688, 50513508790, 53797815412, 58224258306, 64987660164, 79369129555, 79886672667,
|
|
};
|
|
static constexpr grotto::principal_detail::cubic_bits LECUN_K32_PIECES[] = {
|
|
{{-1, 0, -1, -1}, {18446744073709518849u, 321988628920406u, 18446744071756957459u, 18446696422238541071u}},
|
|
{{-1, 0, -1, -1}, {18446744073677680374u, 321990578371400u, 18446744031013180070u, 18446696714029062080u}},
|
|
{{-1, 0, -1, -1}, {18446744073429163452u, 321999618960687u, 18446743920649452429u, 18446697166249851440u}},
|
|
{{-1, 0, -1, -1}, {18446744072586335811u, 322021845666301u, 18446743724673859634u, 18446697743999875698u}},
|
|
{{-1, 0, -1, -1}, {18446744070582855791u, 322063788120053u, 18446743431488515731u, 18446698428315876449u}},
|
|
{{-1, 0, -1, -1}, {18446744066669246820u, 322132229388313u, 18446743032084167674u, 18446699206109269625u}},
|
|
{{-1, 0, -1, -1}, {18446744059919527123u, 322234091361254u, 18446742519283954000u, 18446700067292019884u}},
|
|
{{-1, 0, -1, -1}, {18446744049238768748u, 322376350119884u, 18446741887339852643u, 18446701003563308160u}},
|
|
{{-1, 0, -1, -1}, {18446744033371527033u, 322565967759811u, 18446741131687082619u, 18446702007791595869u}},
|
|
{{-1, 0, -1, -1}, {18446744010910982300u, 322809835673232u, 18446740248776818373u, 18446703073666495610u}},
|
|
{{-1, 0, -1, -1}, {18446743980308781582u, 323114725132817u, 18446739235957451506u, 18446704195482356147u}},
|
|
{{-1, 0, -1, -1}, {18446743939885619371u, 323487242542078u, 18446738091387838673u, 18446705367994376245u}},
|
|
{{-1, 0, -1, -1}, {18446743887842348275u, 323933789893598u, 18446736813966357162u, 18446706586323852211u}},
|
|
{{-1, 0, -1, -1}, {18446743822271668887u, 324460528507979u, 18446735403274152473u, 18446707845890248093u}},
|
|
{{-1, 0, -1, -1}, {18446743741170398833u, 325073345332455u, 18446733859528614793u, 18446709142361228974u}},
|
|
{{-1, 0, -1, -1}, {18446743642451885358u, 325777824312851u, 18446732183537484044u, 18446710471620402297u}},
|
|
{{-1, 0, -1, -1}, {18446743523959330167u, 326579216327014u, 18446730376667752501u, 18446711829735522457u}},
|
|
{{-1, 0, -1, -1}, {18446743383479681452u, 327482410754481u, 18446728440817749983u, 18446713212934922891u}},
|
|
{{-1, 0, -1, -1}, {18446743218756864709u, 328491915740201u, 18446726378377492224u, 18446714617599081844u}},
|
|
{{-1, 0, -1, -1}, {18446743027506460245u, 329611832679029u, 18446724192208508603u, 18446716040242694209u}},
|
|
{{-1, 0, -1, -1}, {18446742807430863358u, 330845832248346u, 18446721885623838323u, 18446717477501826670u}},
|
|
{{-1, 0, -1, -1}, {18446742556234062908u, 332197136220403u, 18446719462360945551u, 18446718926128730301u}},
|
|
{{-1, 0, -1, -1}, {18446742271636350074u, 333668502228196u, 18446716926554026967u, 18446720382988675313u}},
|
|
{{-1, 0, -1, -1}, {18446741951390399679u, 335262203770315u, 18446714282718604783u, 18446721845051126564u}},
|
|
{{-1, 0, -1, -1}, {18446741593297871785u, 336980010981452u, 18446711535736410348u, 18446723309383053470u}},
|
|
{{-1, 0, -1, -1}, {18446741195224966496u, 338823179167325u, 18446708690830082732u, 18446724773148996844u}},
|
|
{{-1, 0, -1, -1}, {18446740755118148283u, 340792438196454u, 18446705753540032009u, 18446726233610339227u}},
|
|
{{-1, 0, -1, -1}, {18446740271021724018u, 342887975485808u, 18446702729713375525u, 18446727688119197662u}},
|
|
{{-1, 0, -1, -1}, {18446739741096170175u, 345109418770611u, 18446699625493672137u, 18446729134113321903u}},
|
|
{{-1, 0, -1, -1}, {18446739163634280992u, 347455830527358u, 18446696447295520631u, 18446730569118813102u}},
|
|
{{-1, 0, -1, -1}, {18446738537077815648u, 349925701378504u, 18446693201783556799u, 18446731990750601797u}},
|
|
{{-1, 0, -1, -1}, {18446737860037546683u, 352516931921314u, 18446689895868175818u, 18446733396705983404u}},
|
|
{{-1, 0, -1, -1}, {18446737131309110577u, 355226833287576u, 18446686536677621472u, 18446734784769012901u}},
|
|
{{-1, 0, -1, -1}, {18446736349893170948u, 358052112472508u, 18446683131551538056u, 18446736152805715845u}},
|
|
{{-1, 0, -1, -1}, {18446735515018725649u, 360988849747647u, 18446679688043162055u, 18446737498756911589u}},
|
|
{{-1, 0, -1, -1}, {18446734626157871516u, 364032509031414u, 18446676213882789484u, 18446738820646748024u}},
|
|
{{-1, 0, -1, -1}, {18446733683044983616u, 367177932873632u, 18446672716962398160u, 18446740116582267584u}},
|
|
{{-1, 0, -1, -1}, {18446732685700835254u, 370419323185634u, 18446669205336519187u, 18446741384747310205u}},
|
|
{{-1, 0, -1, -1}, {18446731634457952652u, 373750221972248u, 18446665687221613452u, 18446742623397915713u}},
|
|
{{-1, 0, -1, -1}, {18446730529977590670u, 377163521536394u, 18446662170964236582u, 18446743830869033513u}},
|
|
{{-1, 0, -1, 0}, {18446729373279609312u, 380651435926364u, 18446658665051006470u, 931856908175u}},
|
|
{{-1, 0, -1, 0}, {18446728165763803598u, 384205502828999u, 18446655178086097986u, 2072260976633u}},
|
|
{{-1, 0, -1, 0}, {18446726909235628084u, 387816573906307u, 18446651718781756757u, 3176925575352u}},
|
|
{{-1, 0, -1, 0}, {18446725605947818836u, 391474764188918u, 18446648295986392533u, 4244465835860u}},
|
|
{{-1, 0, -1, 0}, {18446724258623935635u, 395169459071812u, 18446644918655468679u, 5273564751042u}},
|
|
{{-1, 0, -1, 0}, {18446722870495248960u, 398889286883270u, 18446641595855328209u, 6262969243549u}},
|
|
{{-1, 0, -1, 0}, {18446721445345788473u, 402622076216967u, 18446638336778055965u, 7211483676756u}},
|
|
{{-1, 0, -1, 0}, {18446719987561394622u, 406354810964212u, 18446635150754873906u, 8117964669060u}},
|
|
{{-1, 0, -1, 0}, {18446718502177214472u, 410073597829969u, 18446632047255679469u, 8981320525460u}},
|
|
{{-1, 0, -1, 0}, {18446716994946291740u, 413763589671939u, 18446629035922686594u, 9800501626123u}},
|
|
{{-1, 0, -1, 0}, {18446715472417745911u, 417408899481642u, 18446626126604980724u, 10574492001769u}},
|
|
{{-1, 0, -1, 0}, {18446713942033402904u, 420992486128106u, 18446623329408456678u, 11302298156317u}},
|
|
{{-1, 0, -1, 0}, {18446712412245826237u, 424496010753585u, 18446620654758846799u, 11982936313851u}},
|
|
{{-1, 0, -1, 0}, {18446710892670211132u, 427899641265225u, 18446618113492314531u, 12615414775639u}},
|
|
{{-1, 0, -1, 0}, {18446709394291113793u, 431181769145309u, 18446615716994204356u, 13198707396432u}},
|
|
{{-1, 0, -1, 0}, {18446707929740855074u, 434318617888225u, 18446613477392372228u, 13731718169754u}},
|
|
{{-1, 0, -1, 0}, {18446706513688938135u, 437283681364257u, 18446611407837430772u, 14213231228272u}},
|
|
{{-1, 0, -1, 0}, {18446705163439297727u, 440046826349609u, 18446609522966032184u, 14641827333912u}},
|
|
{{-1, 0, -1, 0}, {18446703899885543187u, 442572822105327u, 18446607839670407362u, 15015745920519u}},
|
|
{{-1, 0, -1, 0}, {18446702749143370061u, 444818784088733u, 18446606378448068220u, 15332644090704u}},
|
|
{{-1, 0, -1, 0}, {18446701745748171558u, 446729060860799u, 18446605166145233493u, 15589102230643u}},
|
|
{{-1, 0, -1, 0}, {18446700940330702611u, 448222706622736u, 18446604242794837915u, 15779375515492u}},
|
|
{{-1, 0, -1, 0}, {18446700428720371789u, 449144821507006u, 18446603688772365099u, 15890335477094u}},
|
|
{{-1, 0, -1, 0}, {18446700574454752596u, 448896306584227u, 18446603830007578869u, 15863585019068u}},
|
|
{{-1, 0, -1, 0}, {18446701299122088260u, 447683755970031u, 18446604506330778685u, 15737836772130u}},
|
|
{{-1, 0, -1, 0}, {18446702400317785516u, 445888451539002u, 18446605481997563740u, 15561088666692u}},
|
|
{{-1, 0, -1, 0}, {18446703831459288931u, 443609511300815u, 18446606691679965639u, 15347047229095u}},
|
|
{{-1, 0, -1, 0}, {18446705568467421781u, 440903434133193u, 18446608096968315265u, 15103783331334u}},
|
|
{{-1, 0, -1, 0}, {18446707595748145343u, 437809849060789u, 18446609670575682149u, 14836964275807u}},
|
|
{{-1, 0, -1, 0}, {18446709901864489489u, 434359627717625u, 18446611391248259429u, 14550918818723u}},
|
|
{{-1, 0, -1, 0}, {18446712477700306081u, 430578395144398u, 18446613241512082546u, 14249118996462u}},
|
|
{{-1, 0, -1, 0}, {18446715315510040957u, 426488370074578u, 18446615206470327342u, 13934441748702u}},
|
|
{{-1, 0, -1, 0}, {18446718408357597483u, 422109454933314u, 18446617273081981972u, 13609327839160u}},
|
|
{{-1, 0, -1, 0}, {18446721749865077657u, 417459781041083u, 18446619429766404356u, 13275874739267u}},
|
|
{{-1, 0, -1, 0}, {18446725333934886583u, 412556233202076u, 18446621666056711789u, 12935913225069u}},
|
|
{{-1, 0, -1, 0}, {18446729154635161304u, 407414701815671u, 18446623972408813885u, 12591053620109u}},
|
|
{{-1, 0, -1, 0}, {18446733206079406990u, 402050318710387u, 18446626340034901366u, 12242724439303u}},
|
|
{{-1, 0, -1, 0}, {18446737482402106259u, 396477543943195u, 18446628760817322228u, 11892195991764u}},
|
|
{{-1, 0, -1, 0}, {18446741977789340371u, 390710175764217u, 18446631227261805984u, 11540596603357u}},
|
|
{{0, 0, -1, 0}, {2612591054362u, 384761619123340u, 18446633732347315659u, 11188941863986u}},
|
|
{{0, 0, -1, 0}, {7528249597908u, 378644798997033u, 18446636269534788294u, 10838139707682u}},
|
|
{{0, 0, -1, 0}, {12644937066285u, 372372318597418u, 18446638832675648426u, 10489008738551u}},
|
|
{{0, 0, -1, 0}, {17956360185251u, 365956517075447u, 18446641415968138462u, 10142288747186u}},
|
|
{{0, 0, -1, 0}, {23456250095143u, 359409246500468u, 18446644014027877180u, 9798635440093u}},
|
|
{{0, 0, -1, 0}, {29138169513775u, 352742125696604u, 18446646621766430249u, 9458640667076u}},
|
|
{{0, 0, -1, 0}, {34995554608356u, 345966500593563u, 18446649234393086033u, 9122835222624u}},
|
|
{{0, 0, -1, 0}, {41021811760532u, 339093347952886u, 18446651847436612380u, 8791689137532u}},
|
|
{{0, 0, -1, 0}, {47210112757969u, 332133521464660u, 18446654456638348532u, 8465627903210u}},
|
|
{{0, 0, -1, 0}, {53553573354125u, 325097556538140u, 18446657058015316526u, 8145026719748u}},
|
|
{{0, 0, -1, 0}, {60045393085730u, 317995531832345u, 18446659647897801909u, 7830208331448u}},
|
|
{{0, 0, -1, 0}, {66678441435168u, 310837536952306u, 18446662222746462974u, 7521467451950u}},
|
|
{{0, 0, -1, 0}, {73445504421218u, 303633401045977u, 18446664779245510686u, 7219060735224u}},
|
|
{{0, 0, -1, 0}, {80339455446704u, 296392525723179u, 18446667314350583752u, 6923203034388u}},
|
|
{{0, 0, -1, 0}, {87352860454239u, 289124310000059u, 18446669825130696819u, 6634087429684u}},
|
|
{{0, 0, -1, 0}, {94478321591863u, 281837793538358u, 18446672308886371666u, 6351872658102u}},
|
|
{{0, 0, -1, 0}, {101708655065780u, 274541492740146u, 18446674763194288680u, 6076679721234u}},
|
|
{{0, 0, -1, 0}, {109036376203389u, 267243936890941u, 18446677185716734130u, 5808614742034u}},
|
|
{{0, 0, -1, 0}, {116453690011677u, 259953666154936u, 18446679574201761395u, 5547769300083u}},
|
|
{{0, 0, -1, 0}, {123953238534894u, 252678502689610u, 18446681926715846593u, 5294195984839u}},
|
|
{{0, 0, -1, 0}, {131527389669713u, 245426264790555u, 18446684241401057461u, 5047936111898u}},
|
|
{{0, 0, -1, 0}, {139168508330435u, 238204502284841u, 18446686516557484760u, 4809011371583u}},
|
|
{{0, 0, -1, 0}, {146869145790264u, 231020330567994u, 18446688750687877924u, 4577420138659u}},
|
|
{{0, 0, -1, 0}, {154621573604161u, 223880875100540u, 18446690942353114567u, 4353153269029u}},
|
|
{{0, 0, -1, 0}, {162418284063505u, 216792809426900u, 18446693090311285844u, 4136180282290u}},
|
|
{{0, 0, -1, 0}, {170251458669180u, 209762850085467u, 18446695193361150594u, 3926465966336u}},
|
|
{{0, 0, -1, 0}, {178113813429410u, 202796998007284u, 18446697250566303856u, 3723948398568u}},
|
|
{{0, 0, -1, 0}, {185998001670943u, 195901097718228u, 18446699261078444767u, 3528557574186u}},
|
|
{{0, 0, -1, 0}, {193895965588108u, 189081390933855u, 18446701223977628172u, 3340230820193u}},
|
|
{{0, 0, -1, 0}, {201800483058691u, 182343173994075u, 18446703138658276190u, 3158875859507u}},
|
|
{{0, 0, -1, 0}, {209704142158941u, 175691706281611u, 18446705004558891569u, 2984397623471u}},
|
|
{{0, 0, -1, 0}, {217599306119691u, 169132231281051u, 18446706821156525843u, 2816698751015u}},
|
|
{{0, 0, -1, 0}, {225478928638994u, 162669304689208u, 18446708588149297153u, 2655663089435u}},
|
|
{{0, 0, -1, 0}, {233335673526882u, 156307538017955u, 18446710305245258121u, 2501175661815u}},
|
|
{{0, 0, -1, 0}, {241161875828406u, 150051615649023u, 18446711972159987631u, 2353122676153u}},
|
|
{{0, 0, -1, 0}, {248950764631457u, 143905322731148u, 18446713588872374628u, 2211369094970u}},
|
|
{{0, 0, -1, 0}, {256695847740100u, 137872070552679u, 18446715155474271137u, 2075772872475u}},
|
|
{{0, 0, -1, 0}, {264389975996447u, 131955626162225u, 18446716671979594863u, 1946201553878u}},
|
|
{{0, 0, -1, 0}, {272026210603730u, 126159426534992u, 18446718138503709907u, 1822516596135u}},
|
|
{{0, 0, -1, 0}, {279597933809414u, 120486509641876u, 18446719555275604315u, 1704572756015u}},
|
|
{{0, 0, -1, 0}, {287098868933041u, 114939515399094u, 18446720922632421740u, 1592218935580u}},
|
|
{{0, 0, -1, 0}, {294522494401598u, 109521129605266u, 18446722240906328155u, 1485307724659u}},
|
|
{{0, 0, -1, 0}, {301861463777516u, 104234486094949u, 18446723510330783060u, 1383702607961u}},
|
|
{{0, 0, -1, 0}, {309109859156466u, 99081536699739u, 18446724731432353276u, 1287246527246u}},
|
|
{{0, 0, -1, 0}, {316262749798536u, 94063429186862u, 18446725904924741032u, 1195771503712u}},
|
|
{{0, 0, -1, 0}, {323313473916470u, 89182420958703u, 18446727031259084875u, 1109133770198u}},
|
|
{{0, 0, -1, 0}, {330256173694003u, 84440075542959u, 18446728111050780416u, 1027180028858u}},
|
|
{{0, 0, -1, 0}, {337085626820039u, 79837417275974u, 18446729145034192695u, 949751599437u}},
|
|
{{0, 0, -1, 0}, {343796542525322u, 75375419594251u, 18446730133949214354u, 876693110704u}},
|
|
{{0, 0, -1, 0}, {350383458039033u, 71055072419128u, 18446731078526113868u, 807853546589u}},
|
|
{{0, 0, -1, 0}, {356841008069911u, 66877195987655u, 18446731979527719853u, 743082979072u}},
|
|
{{0, 0, -1, 0}, {363164861012145u, 62841854368424u, 18446732837871101116u, 682224088676u}},
|
|
{{0, 0, -1, 0}, {369350108020930u, 58949404556012u, 18446733654399432991u, 625128604779u}},
|
|
{{0, 0, -1, 0}, {375392254336994u, 55199858100660u, 18446734430018644737u, 571647459990u}},
|
|
{{0, 0, -1, 0}, {381287133339980u, 51592950639380u, 18446735165679220619u, 521632221653u}},
|
|
{{0, 0, -1, 0}, {387030585479595u, 48128345290470u, 18446735862332968249u, 474938055467u}},
|
|
{{0, 0, -1, 0}, {392618113162138u, 44805835225179u, 18446736520893092757u, 431426254008u}},
|
|
{{0, 0, -1, 0}, {398046793757336u, 41624211336453u, 18446737142457258189u, 390949499893u}},
|
|
{{0, 0, -1, 0}, {403313752880926u, 38582206709658u, 18446737728113062967u, 353365093689u}},
|
|
{{0, 0, -1, 0}, {408415096305877u, 35679093860984u, 18446738278826936143u, 318541718781u}},
|
|
{{0, 0, -1, 0}, {413348936416142u, 32912956333108u, 18446738795773079621u, 286338471719u}},
|
|
{{0, 0, -1, 0}, {418112670067320u, 30282263882258u, 18446739280029756040u, 256624268699u}},
|
|
{{0, 0, -1, 0}, {422703187026296u, 27785721992219u, 18446739732613711686u, 229275203622u}},
|
|
{{0, 0, -1, 0}, {427118574124114u, 25421344597966u, 18446740154648216213u, 204164304330u}},
|
|
{{0, 0, -1, 0}, {431357218085089u, 23186968131099u, 18446740547265149587u, 181167633364u}},
|
|
{{0, 0, -1, 0}, {435417883496902u, 21080220126848u, 18446740911608941937u, 160164042234u}},
|
|
{{0, 0, -1, 0}, {439299320521767u, 19098728912065u, 18446741248799416607u, 141037256924u}},
|
|
{{0, 0, -1, 0}, {443001153752309u, 17239674960226u, 18446741560007473224u, 123671514200u}},
|
|
{{0, 0, -1, 0}, {446523426937355u, 15500046850641u, 18446741846407899285u, 107954329197u}},
|
|
{{0, 0, -1, 0}, {449864586179621u, 13877624011510u, 18446742109020143301u, 93784979060u}},
|
|
{{0, 0, -1, 0}, {453024801698248u, 12369330322118u, 18446742348980426340u, 81059414605u}},
|
|
{{0, 0, -1, 0}, {456005861983773u, 10971354609993u, 18446742567511375080u, 69672377582u}},
|
|
{{0, 0, -1, 0}, {458808717483994u, 9680330050401u, 18446742765733897097u, 59527280966u}},
|
|
{{0, 0, -1, 0}, {461435064529001u, 8492584027321u, 18446742944786245367u, 50529789977u}},
|
|
{{0, 0, -1, 0}, {463886152298042u, 7404689102084u, 18446743105739697527u, 42592012930u}},
|
|
{{0, 0, -1, 0}, {466163574675495u, 6413093494116u, 18446743249656394836u, 35629382396u}},
|
|
{{0, 0, -1, 0}, {468270154966386u, 5513757217015u, 18446743377639353467u, 29558272208u}},
|
|
{{0, 0, -1, 0}, {470209255190162u, 4702482048381u, 18446743490780989107u, 24298546910u}},
|
|
{{0, 0, -1, 0}, {471984993338673u, 3974839923488u, 18446743590171184938u, 19773156410u}},
|
|
{{0, 0, -1, 0}, {473601898739468u, 3326335092478u, 18446743676873192842u, 15909198140u}},
|
|
{{0, 0, -1, 0}, {475063903263647u, 2752806748091u, 18446743751871074167u, 12640076810u}},
|
|
{{0, 0, -1, 0}, {476375139250181u, 2250090729472u, 18446743816118127268u, 9903092421u}},
|
|
{{0, 0, -1, 0}, {477540631370198u, 1813765423241u, 18446743870568501898u, 7638027020u}},
|
|
{{0, 0, -1, 0}, {478567444515243u, 1438767588570u, 18446743916220148966u, 5785457617u}},
|
|
{{0, 0, -1, 0}, {479462202568345u, 1120354170395u, 18446743953992026921u, 4291847459u}},
|
|
{{0, 0, -1, 0}, {480231335138779u, 853984378182u, 18446743984743189661u, 3108449265u}},
|
|
{{0, 0, -1, 0}, {480882902768112u, 634700037539u, 18446744009344043311u, 2188450675u}},
|
|
{{0, 0, -1, 0}, {481424915942212u, 457737702984u, 18446744028603689295u, 1489716140u}},
|
|
{{0, 0, -1, 0}, {481865921228374u, 318335681663u, 18446744043292727484u, 973755421u}},
|
|
{{0, 0, -1, 0}, {482215715561413u, 211541674130u, 18446744054161572227u, 605013732u}},
|
|
{{0, 0, -1, 0}, {482484167370912u, 132617581599u, 18446744061896563375u, 352306913u}},
|
|
{{0, 0, -1, 0}, {482681209075505u, 77042400796u, 18446744067121931886u, 188524902u}},
|
|
{{0, 0, -1, 0}, {482817644231386u, 40303562049u, 18446744070419906248u, 89830683u}},
|
|
{{0, 0, -1, 0}, {482904580954985u, 18099776203u, 18446744072310457084u, 36166192u}},
|
|
{{0, 0, -1, 0}, {482953527837443u, 6354209511u, 18446744073250152296u, 11101429u}},
|
|
{{0, 0, -1, 0}, {482975816872571u, 1403716585u, 18446744073616779545u, 2047888u}},
|
|
{{0, 0, -1, 0}, {482982360523506u, 94120294u, 18446744073704200102u, 101453u}},
|
|
{{0, 0, -1, 0}, {482982889663324u, 3358767u, 18446744073709387500u, 2667u}},
|
|
};
|
|
static constexpr window_table LECUN_K32_TABLE{LECUN_K32_KNOTS, LECUN_K32_PIECES, 177, 48};
|
|
|
|
static constexpr window_table const* const LECUN[7] = {
|
|
&LECUN_K8_TABLE,
|
|
&LECUN_K12_TABLE,
|
|
&LECUN_K16_TABLE,
|
|
&LECUN_K20_TABLE,
|
|
&LECUN_K24_TABLE,
|
|
&LECUN_K28_TABLE,
|
|
&LECUN_K32_TABLE,
|
|
};
|
|
|
|
static constexpr std::int64_t HARDELISH_K8_KNOTS[] = {
|
|
-256, 0,
|
|
};
|
|
static constexpr grotto::principal_detail::cubic_bits HARDELISH_K8_PIECES[] = {
|
|
{{-1, 0, 0, 0}, {18446744073709543999u, 8129237u, 11185522u, 3056284u}},
|
|
};
|
|
static constexpr window_table HARDELISH_K8_TABLE{HARDELISH_K8_KNOTS, HARDELISH_K8_PIECES, 1, 24};
|
|
|
|
static constexpr std::int64_t HARDELISH_K12_KNOTS[] = {
|
|
-4096, -1025, 0,
|
|
};
|
|
static constexpr grotto::principal_detail::cubic_bits HARDELISH_K12_PIECES[] = {
|
|
{{-1, 0, 0, 0}, {18446744073708040300u, 121636017u, 164201123u, 41086517u}},
|
|
{{-1, 0, 0, 0}, {18446744073709550878u, 134121917u, 199377089u, 76621341u}},
|
|
};
|
|
static constexpr window_table HARDELISH_K12_TABLE{HARDELISH_K12_KNOTS, HARDELISH_K12_PIECES, 2, 28};
|
|
|
|
static constexpr std::int64_t HARDELISH_K16_KNOTS[] = {
|
|
-65536, -39529, -16348, 0,
|
|
};
|
|
static constexpr grotto::principal_detail::cubic_bits HARDELISH_K16_PIECES[] = {
|
|
{{-1, 0, 0, 0}, {18446744073629115667u, 1710111741u, 2306543203u, 516028280u}},
|
|
{{-1, 0, 0, 0}, {18446744073701438332u, 2061515978u, 2884664852u, 838186609u}},
|
|
{{-1, 0, 0, 0}, {18446744073709539952u, 2145964568u, 3190219657u, 1226539595u}},
|
|
};
|
|
static constexpr window_table HARDELISH_K16_TABLE{HARDELISH_K16_KNOTS, HARDELISH_K16_PIECES, 3, 32};
|
|
|
|
static constexpr std::int64_t HARDELISH_K20_KNOTS[] = {
|
|
-1048576, -834082, -632362, -441889, -261405, -89858, 0,
|
|
};
|
|
static constexpr grotto::principal_detail::cubic_bits HARDELISH_K20_PIECES[] = {
|
|
{{-1, 0, 0, 0}, {18446744071762239690u, 25068646541u, 34264695087u, 7248769388u}},
|
|
{{-1, 0, 0, 0}, {18446744072849572554u, 29155640820u, 39398575663u, 9403983479u}},
|
|
{{-1, 0, 0, 0}, {18446744073417507339u, 31964238539u, 44046795398u, 11978524420u}},
|
|
{{-1, 0, 0, 0}, {18446744073648310944u, 33587820962u, 47881422267u, 15019642422u}},
|
|
{{-1, 0, 0, 0}, {18446744073705880975u, 34258250701u, 50531166627u, 18576790349u}},
|
|
{{-1, 0, 0, 0}, {18446744073709548751u, 34358662951u, 51476470877u, 21715153882u}},
|
|
};
|
|
static constexpr window_table HARDELISH_K20_TABLE{HARDELISH_K20_KNOTS, HARDELISH_K20_PIECES, 6, 36};
|
|
|
|
static constexpr std::int64_t HARDELISH_K24_KNOTS[] = {
|
|
-16777216, -15033864, -13345080, -11707320, -10117381, -8572377, -7069674, -5606883, -4181814, -2792462, -1436978, -113664, 0,
|
|
};
|
|
static constexpr grotto::principal_detail::cubic_bits HARDELISH_K24_PIECES[] = {
|
|
{{-1, 0, 0, 0}, {18446744036368457044u, 381215507031u, 526952273178u, 108395704343u}},
|
|
{{-1, 0, 0, 0}, {18446744047665786349u, 419012647213u, 569127399636u, 124090954019u}},
|
|
{{-1, 0, 0, 0}, {18446744056345581965u, 451721201202u, 610239789206u, 141327244065u}},
|
|
{{-1, 0, 0, 0}, {18446744062762635379u, 479278659895u, 649718667400u, 160194680437u}},
|
|
{{-1, 0, 0, 0}, {18446744067284803927u, 501742138725u, 686950942272u, 180785566936u}},
|
|
{{-1, 0, 0, 0}, {18446744070280702613u, 519296099939u, 721280816936u, 203194420587u}},
|
|
{{-1, 0, 0, 0}, {18446744072107084690u, 532259857072u, 752009343534u, 227517971845u}},
|
|
{{-1, 0, 0, 0}, {18446744073095960375u, 541094937611u, 778393935941u, 253855099824u}},
|
|
{{-1, 0, 0, 0}, {18446744073541476793u, 546412368763u, 799648047580u, 282306891656u}},
|
|
{{-1, 0, 0, 0}, {18446744073686564925u, 548979777198u, 814940745140u, 312976645201u}},
|
|
{{-1, 0, 0, 0}, {18446744073709383605u, 549728374793u, 823396267352u, 345969830828u}},
|
|
{{-1, 0, 0, 0}, {18446744073709551614u, 549755805017u, 824627170438u, 364955605798u}},
|
|
};
|
|
static constexpr window_table HARDELISH_K24_TABLE{HARDELISH_K24_KNOTS, HARDELISH_K24_PIECES, 12, 40};
|
|
|
|
static constexpr std::int64_t HARDELISH_K28_KNOTS[] = {
|
|
-268435456, -254375483, -240541476, -226925527, -213520502, -200319499, -187315959, -174503629, -161876608, -149429267, -137156224, -125052362, -113112759, -101332771, -89707911, -78233906, -66906639, -55722184, -44676804, -33766871, -22988926, -12339618, -1815752, 0,
|
|
};
|
|
static constexpr grotto::principal_detail::cubic_bits HARDELISH_K28_PIECES[] = {
|
|
{{-1, 0, 0, 0}, {18446743423067273674u, 5934411440285u, 8260578333590u, 1675524648131u}},
|
|
{{-1, 0, 0, 0}, {18446743524891480061u, 6256720922525u, 8600695272982u, 1795175715441u}},
|
|
{{-1, 0, 0, 0}, {18446743615237247860u, 6559138595451u, 8938172262616u, 1920726322237u}},
|
|
{{-1, 0, 0, 0}, {18446743694766033370u, 6841315165217u, 9271952347587u, 2052352651900u}},
|
|
{{-1, 0, 0, 0}, {18446743764166742177u, 7103008946772u, 9600934143455u, 2190232027796u}},
|
|
{{-1, 0, 0, 0}, {18446743824150930771u, 7344093751945u, 9923976169077u, 2334544664180u}},
|
|
{{-1, 0, 0, 0}, {18446743875446336654u, 7564561335028u, 10239895103120u, 2485473156477u}},
|
|
{{-1, 0, 0, 0}, {18446743918790667640u, 7764524748166u, 10547464858768u, 2643202171730u}},
|
|
{{-1, 0, 0, 0}, {18446743954925476364u, 7944222234428u, 10845416294470u, 2807918343803u}},
|
|
{{-1, 0, 0, 0}, {18446743984590035691u, 8104021554382u, 11132437800668u, 2979810671863u}},
|
|
{{-1, 0, 0, 0}, {18446744008514966069u, 8244423486170u, 11407174728910u, 3159070355963u}},
|
|
{{-1, 0, 0, 0}, {18446744027415872997u, 8366065648228u, 11668229397083u, 3345890954340u}},
|
|
{{-1, 0, 0, 0}, {18446744041986861383u, 8469725929030u, 11914160371567u, 3540468058726u}},
|
|
{{-1, 0, 0, 0}, {18446744052894059311u, 8556326275616u, 12143482438113u, 3742999343109u}},
|
|
{{-1, 0, 0, 0}, {18446744060769067010u, 8626936440700u, 12354666754475u, 3953684886737u}},
|
|
{{-1, 0, 0, 0}, {18446744066202317337u, 8682777450300u, 12546140391606u, 4172727018338u}},
|
|
{{-1, 0, 0, 0}, {18446744069736399379u, 8725225148919u, 12716286097720u, 4400330334831u}},
|
|
{{-1, 0, 0, 0}, {18446744071859328123u, 8755813665556u, 12863441736394u, 4636701139059u}},
|
|
{{-1, 0, 0, 0}, {18446744072997779487u, 8776239073479u, 12985900655100u, 4882048038382u}},
|
|
{{-1, 0, 0, 0}, {18446744073510256021u, 8788362807846u, 13081911413907u, 5136582008342u}},
|
|
{{-1, 0, 0, 0}, {18446744073680211455u, 8794215076106u, 13149677461220u, 5400516256391u}},
|
|
{{-1, 0, 0, 0}, {18446744073709133289u, 8795998270055u, 13187356893104u, 5674066199667u}},
|
|
{{-1, 0, 0, 0}, {18446744073709551586u, 8796092880937u, 13194035057081u, 5839328705356u}},
|
|
};
|
|
static constexpr window_table HARDELISH_K28_TABLE{HARDELISH_K28_KNOTS, HARDELISH_K28_PIECES, 23, 44};
|
|
|
|
static constexpr std::int64_t HARDELISH_K32_KNOTS[] = {
|
|
-4294967296, -4182027426, -4070006914, -3958889839, -3848660444, -3739303782, -3630805044, -3523149752, -3416323814, -3310314120, -3205107253, -3100689752, -2997049776, -2894174349, -2792052063, -2690670881, -2590019436, -2490086372, -2390861148, -2292333055, -2194491887, -2097327455, -2000829454, -1904988901, -1809795631, -1715240679, -1621315153, -1528010224, -1435316960, -1343227000, -1251732088, -1160824298, -1070495529, -980737987, -891543987, -802906371, -714817653, -627270718, -540258497, -453774157, -367811087, -282362542, -197422096, -112983354, -29040015, 0,
|
|
};
|
|
static constexpr grotto::principal_detail::cubic_bits HARDELISH_K32_PIECES[] = {
|
|
{{-1, 0, 0, 0}, {18446733222912550896u, 93606775276672u, 130802921480209u, 26345349235585u}},
|
|
{{-1, 0, 0, 0}, {18446734085268481940u, 96263617421376u, 133531502059543u, 27279462740245u}},
|
|
{{-1, 0, 0, 0}, {18446734899805458476u, 98842198680038u, 136252593785637u, 28236652148412u}},
|
|
{{-1, 0, 0, 0}, {18446735667779530641u, 101341607729576u, 138964164934905u, 29217264948132u}},
|
|
{{-1, 0, 0, 0}, {18446736390481643405u, 103761036706062u, 141664140924708u, 30221650363867u}},
|
|
{{-1, 0, 0, 0}, {18446737069234860842u, 106099783375467u, 144350404126088u, 31250159239782u}},
|
|
{{-1, 0, 0, 0}, {18446737705392833029u, 108357257950793u, 147020799331199u, 32303146191782u}},
|
|
{{-1, 0, 0, 0}, {18446738300335812171u, 110532981747562u, 149673130140018u, 33380968402457u}},
|
|
{{-1, 0, 0, 0}, {18446738855465942910u, 112626582504035u, 152305150445132u, 34483982104097u}},
|
|
{{-1, 0, 0, 0}, {18446739372206419578u, 114637803711672u, 154914572685734u, 35612545711737u}},
|
|
{{-1, 0, 0, 0}, {18446739852000609148u, 116566515471585u, 157499080013905u, 36767025418528u}},
|
|
{{-1, 0, 0, 0}, {18446740296304164817u, 118412697607469u, 160056301896400u, 37947784768460u}},
|
|
{{-1, 0, 0, 0}, {18446740706584852465u, 120176452444754u, 162583827619514u, 39155190338357u}},
|
|
{{-1, 0, 0, 0}, {18446741084319281331u, 121858006288905u, 165079206099820u, 40389611943059u}},
|
|
{{-1, 0, 0, 0}, {18446741430988936642u, 123457707309602u, 167539939653290u, 41651419540820u}},
|
|
{{-1, 0, 0, 0}, {18446741748078560143u, 124976034267522u, 169963494339481u, 42940988571080u}},
|
|
{{-1, 0, 0, 0}, {18446742037071810378u, 126413592998325u, 172347291890175u, 44258696076590u}},
|
|
{{-1, 0, 0, 0}, {18446742299447984446u, 127771117336066u, 174688707634175u, 45604919453054u}},
|
|
{{-1, 0, 0, 0}, {18446742536679252471u, 129049472622683u, 176985072554199u, 46980037335356u}},
|
|
{{-1, 0, 0, 0}, {18446742750227825871u, 130249659455143u, 179233676553247u, 48384431581946u}},
|
|
{{-1, 0, 0, 0}, {18446742941542497845u, 131372814194515u, 181431766056587u, 49818485952280u}},
|
|
{{-1, 0, 0, 0}, {18446743112055945204u, 132420214009581u, 183576550550627u, 51282590689375u}},
|
|
{{-1, 0, 0, 0}, {18446743263180244151u, 133393271195631u, 185665187568997u, 52777132698282u}},
|
|
{{-1, 0, 0, 0}, {18446743396304715327u, 134293541294055u, 187694794720647u, 54302503331050u}},
|
|
{{-1, 0, 0, 0}, {18446743512792539718u, 135122724588797u, 189662450002512u, 55859099511191u}},
|
|
{{-1, 0, 0, 0}, {18446743613976746860u, 135882662534564u, 191565178767487u, 57447313461079u}},
|
|
{{-1, 0, 0, 0}, {18446743701157719630u, 136575344897003u, 193399965556521u, 59067541533337u}},
|
|
{{-1, 0, 0, 0}, {18446743775599853354u, 137202911651617u, 195163755237795u, 60720186025969u}},
|
|
{{-1, 0, 0, 0}, {18446743838527942601u, 137767652525216u, 196853447408769u, 62405650815802u}},
|
|
{{-1, 0, 0, 0}, {18446743891123847846u, 138272008439028u, 198465894645421u, 64124339252192u}},
|
|
{{-1, 0, 0, 0}, {18446743934523281436u, 138718574253300u, 199997904788783u, 65876655995711u}},
|
|
{{-1, 0, 0, 0}, {18446743969812514711u, 139110101196677u, 201446243147913u, 67663009576559u}},
|
|
{{-1, 0, 0, 0}, {18446743998024967962u, 139449498356870u, 202807632128588u, 69483812836582u}},
|
|
{{-1, 0, 0, 0}, {18446744020137770785u, 139739833735041u, 204078748608355u, 71339480032556u}},
|
|
{{-1, 0, 0, 0}, {18446744037068373294u, 139984335834490u, 205256222543285u, 73230424290314u}},
|
|
{{-1, 0, 0, 0}, {18446744049671212338u, 140186396248080u, 206336640252207u, 75157061918761u}},
|
|
{{-1, 0, 0, 0}, {18446744058734281041u, 140349571325167u, 207316544749715u, 77119814186074u}},
|
|
{{-1, 0, 0, 0}, {18446744064975673044u, 140477583419027u, 208192433196624u, 79119103258301u}},
|
|
{{-1, 0, 0, 0}, {18446744069040159270u, 140574322790153u, 208960757634988u, 81155353546724u}},
|
|
{{-1, 0, 0, 0}, {18446744071495738885u, 140643849264973u, 209617924226938u, 83228989422637u}},
|
|
{{-1, 0, 0, 0}, {18446744072830187746u, 140690394142827u, 210160294828799u, 85340439555357u}},
|
|
{{-1, 0, 0, 0}, {18446744073447581445u, 140718361747284u, 210584186014165u, 87490135757415u}},
|
|
{{-1, 0, 0, 0}, {18446744073664815599u, 140732331100771u, 210885868511701u, 89678510909214u}},
|
|
{{-1, 0, 0, 0}, {18446744073708116650u, 140737057655922u, 211061567553984u, 91906001705287u}},
|
|
{{-1, 0, 0, 0}, {18446744073709551139u, 140737486097801u, 211104562296500u, 93429422866959u}},
|
|
};
|
|
static constexpr window_table HARDELISH_K32_TABLE{HARDELISH_K32_KNOTS, HARDELISH_K32_PIECES, 45, 48};
|
|
|
|
static constexpr window_table const* const HARDELISH[7] = {
|
|
&HARDELISH_K8_TABLE,
|
|
&HARDELISH_K12_TABLE,
|
|
&HARDELISH_K16_TABLE,
|
|
&HARDELISH_K20_TABLE,
|
|
&HARDELISH_K24_TABLE,
|
|
&HARDELISH_K28_TABLE,
|
|
&HARDELISH_K32_TABLE,
|
|
};
|
|
|
|
static constexpr std::int64_t LECUN_TAIL[7] = {
|
|
439, 7028, 112453, 1799252, 28788025, 460608399, 7369734383,
|
|
};
|