diff -r effb66aab08b -r da026c172c1e src/java.base/share/classes/java/util/random/DoubleZigguratTables.java --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/src/java.base/share/classes/java/util/random/DoubleZigguratTables.java Thu Nov 14 12:50:08 2019 -0400 @@ -0,0 +1,532 @@ +// This Java source file is generated automatically by the program `create_ziggurat_tables.c`. + +/* + * Copyright (c) 2019, Oracle and/or its affiliates. All rights reserved. + * DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER. + * + * This code is free software; you can redistribute it and/or modify it + * under the terms of the GNU General Public License version 2 only, as + * published by the Free Software Foundation. Oracle designates this + * particular file as subject to the "Classpath" exception as provided + * by Oracle in the LICENSE file that accompanied this code. + * + * This code is distributed in the hope that it will be useful, but WITHOUT + * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or + * FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License + * version 2 for more details (a copy is included in the LICENSE file that + * accompanied this code). + * + * You should have received a copy of the GNU General Public License version + * 2 along with this work; if not, write to the Free Software Foundation, + * Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA. + * + * Please contact Oracle, 500 Oracle Parkway, Redwood Shores, CA 94065 USA + * or visit www.oracle.com if you need additional information or have any + * questions. + */ + +package java.util.random; + +class DoubleZigguratTables { + + // Implementation support for modified-ziggurat implementation of nextExponential() + + // Fraction of the area under the curve that lies outside the layer boxes: 0.0156 + // Fraction of non-box area that lies in the tail of the distribution: 0.0330 + + static final int exponentialNumberOfLayers = 252; + static final int exponentialLayerMask = 0xff; + static final int exponentialAliasMask = 0xff; + static final int exponentialSignCorrectionMask = 0xff; + static final double exponentialX0 = 7.56927469414806264; + static final long exponentialConvexMargin = 853965788476313645L; // unscaled convex margin = 0.0926 + + // exponential_X[i] = length of ziggurat layer i for exponential distribution, scaled by 2**(-63) + static final double[] exponentialX = { // 253 entries, which is exponential_number_of_layers+1 + 8.2066240675348816e-19, 7.3973732351607284e-19, 6.9133313377915293e-19, 6.5647358820964533e-19, + 6.2912539959818508e-19, 6.0657224129604964e-19, 5.8735276103737269e-19, 5.7058850528536941e-19, + 5.5570945691622390e-19, 5.4232438903743953e-19, 5.3015297696508776e-19, 5.1898739257708062e-19, + 5.0866922617998330e-19, 4.9907492938796469e-19, 4.9010625894449536e-19, 4.8168379010649187e-19, + 4.7374238653644714e-19, 4.6622795807196824e-19, 4.5909509017784048e-19, 4.5230527790658154e-19, + 4.4582558816353960e-19, 4.3962763126368381e-19, 4.3368675967106470e-19, 4.2798143618469714e-19, + 4.2249273027064889e-19, 4.1720391253464110e-19, 4.1210012522465616e-19, 4.0716811225869233e-19, + 4.0239599631006903e-19, 3.9777309342877357e-19, 3.9328975785334499e-19, 3.8893725129310323e-19, + 3.8470763218720385e-19, 3.8059366138180143e-19, 3.7658872138544730e-19, 3.7268674692030177e-19, + 3.6888216492248162e-19, 3.6516984248800068e-19, 3.6154504153287473e-19, 3.5800337915318032e-19, + 3.5454079284533432e-19, 3.5115350988784242e-19, 3.4783802030030962e-19, 3.4459105288907336e-19, + 3.4140955396563316e-19, 3.3829066838741162e-19, 3.3523172262289001e-19, 3.3223020958685874e-19, + 3.2928377502804472e-19, 3.2639020528202049e-19, 3.2354741622810815e-19, 3.2075344331080789e-19, + 3.1800643250478609e-19, 3.1530463211820845e-19, 3.1264638534265134e-19, 3.1003012346934211e-19, + 3.0745435970137301e-19, 3.0491768350005559e-19, 3.0241875541094565e-19, 2.9995630232144550e-19, + 2.9752911310742592e-19, 2.9513603463113224e-19, 2.9277596805684267e-19, 2.9044786545442563e-19, + 2.8815072666416712e-19, 2.8588359639906928e-19, 2.8364556156331615e-19, 2.8143574876779799e-19, + 2.7925332202553125e-19, 2.7709748061152879e-19, 2.7496745707320232e-19, 2.7286251537873397e-19, + 2.7078194919206054e-19, 2.6872508026419050e-19, 2.6669125693153442e-19, 2.6467985271278891e-19, + 2.6269026499668434e-19, 2.6072191381359757e-19, 2.5877424068465143e-19, 2.5684670754248168e-19, + 2.5493879571835479e-19, 2.5305000499077481e-19, 2.5117985269112710e-19, 2.4932787286227806e-19, + 2.4749361546638660e-19, 2.4567664563848669e-19, 2.4387654298267842e-19, 2.4209290090801527e-19, + 2.4032532600140538e-19, 2.3857343743505147e-19, 2.3683686640614648e-19, 2.3511525560671253e-19, + 2.3340825872163284e-19, 2.3171553995306794e-19, 2.3003677356958333e-19, 2.2837164347843482e-19, + 2.2671984281957174e-19, 2.2508107358001938e-19, 2.2345504622739592e-19, 2.2184147936140775e-19, + 2.2024009938224424e-19, 2.1865064017486842e-19, 2.1707284280826716e-19, 2.1550645524878675e-19, + 2.1395123208673778e-19, 2.1240693427550640e-19, 2.1087332888245875e-19, 2.0935018885097035e-19, + 2.0783729277295508e-19, 2.0633442467130712e-19, 2.0484137379170616e-19, 2.0335793440326865e-19, + 2.0188390560756090e-19, 2.0041909115551697e-19, 1.9896329927183254e-19, 1.9751634248643090e-19, + 1.9607803747261946e-19, 1.9464820489157862e-19, 1.9322666924284314e-19, 1.9181325872045647e-19, + 1.9040780507449479e-19, 1.8901014347767504e-19, 1.8762011239677479e-19, 1.8623755346860768e-19, + 1.8486231138030984e-19, 1.8349423375370566e-19, 1.8213317103353295e-19, 1.8077897637931708e-19, + 1.7943150556069476e-19, 1.7809061685599652e-19, 1.7675617095390567e-19, 1.7542803085801941e-19, + 1.7410606179414531e-19, 1.7279013112017240e-19, 1.7148010823836362e-19, 1.7017586450992059e-19, + 1.6887727317167824e-19, 1.6758420925479093e-19, 1.6629654950527621e-19, 1.6501417230628659e-19, + 1.6373695760198277e-19, 1.6246478682288560e-19, 1.6119754281258616e-19, 1.5993510975569615e-19, + 1.5867737310692309e-19, 1.5742421952115544e-19, 1.5617553678444595e-19, 1.5493121374578016e-19, + 1.5369114024951992e-19, 1.5245520706841019e-19, 1.5122330583703858e-19, 1.4999532898563561e-19, + 1.4877116967410352e-19, 1.4755072172615974e-19, 1.4633387956347966e-19, 1.4512053813972103e-19, + 1.4391059287430991e-19, 1.4270393958586506e-19, 1.4150047442513381e-19, 1.4030009380730888e-19, + 1.3910269434359025e-19, 1.3790817277185197e-19, 1.3671642588626657e-19, 1.3552735046573446e-19, + 1.3434084320095729e-19, 1.3315680061998685e-19, 1.3197511901207148e-19, 1.3079569434961214e-19, + 1.2961842220802957e-19, 1.2844319768333099e-19, 1.2726991530715219e-19, 1.2609846895903523e-19, + 1.2492875177568625e-19, 1.2376065605693940e-19, 1.2259407316813331e-19, 1.2142889343858445e-19, + 1.2026500605581765e-19, 1.1910229895518744e-19, 1.1794065870449425e-19, 1.1677997038316715e-19, + 1.1562011745554883e-19, 1.1446098163777869e-19, 1.1330244275772562e-19, 1.1214437860737343e-19, + 1.1098666478700728e-19, 1.0982917454048923e-19, 1.0867177858084351e-19, 1.0751434490529747e-19, + 1.0635673859884002e-19, 1.0519882162526621e-19, 1.0404045260457141e-19, 1.0288148657544097e-19, + 1.0172177474144965e-19, 1.0056116419943559e-19, 9.9399497648346677e-20, 9.8236613076667446e-20, + 9.7072343426320094e-20, 9.5906516230690634e-20, 9.4738953224154196e-20, 9.3569469920159036e-20, + 9.2397875154569468e-20, 9.1223970590556472e-20, 9.0047550180852874e-20, 8.8868399582647627e-20, + 8.7686295519767450e-20, 8.6501005086071005e-20, 8.5312284983141187e-20, 8.4119880684385214e-20, + 8.2923525516513420e-20, 8.1722939648034506e-20, 8.0517828972839211e-20, 7.9307883875099226e-20, + 7.8092777859524425e-20, 7.6872166028429042e-20, 7.5645683383965122e-20, 7.4412942930179128e-20, + 7.3173533545093332e-20, 7.1927017587631075e-20, 7.0672928197666785e-20, 6.9410766239500362e-20, + 6.8139996829256425e-20, 6.6860045374610234e-20, 6.5570293040210081e-20, 6.4270071533368528e-20, + 6.2958657080923559e-20, 6.1635263438143136e-20, 6.0299033732151700e-20, 5.8949030892850181e-20, + 5.7584226359885930e-20, 5.6203486669597397e-20, 5.4805557413499315e-20, 5.3389043909003295e-20, + 5.1952387717989917e-20, 5.0493837866338355e-20, 4.9011415222629489e-20, 4.7502867933366117e-20, + 4.5965615001265455e-20, 4.4396673897997565e-20, 4.2792566302148588e-20, 4.1149193273430015e-20, + 3.9461666762606287e-20, 3.7724077131401685e-20, 3.5929164086204360e-20, 3.4067836691100565e-20, + 3.2128447641564046e-20, 3.0095646916399994e-20, 2.7948469455598328e-20, 2.5656913048718645e-20, + 2.3175209756803909e-20, 2.0426695228251291e-20, 1.7261770330213485e-20, 1.3281889259442578e-20, + 0.0000000000000000e+00 }; + + // exponential_Y[i] = value of the exponential distribution function at exponential_X[i], scaled by 2**(-63) + static final double[] exponentialY = { // 253 entries, which is exponential_number_of_layers+1 + 5.5952054951127360e-23, 1.1802509982703313e-22, 1.8444423386735829e-22, 2.5439030466698309e-22, + 3.2737694311509334e-22, 4.0307732132706715e-22, 4.8125478319495115e-22, 5.6172914896583308e-22, + 6.4435820540443526e-22, 7.2902662343463681e-22, 8.1563888456321941e-22, 9.0411453683482223e-22, + 9.9438488486399206e-22, 1.0863906045969114e-21, 1.1800799775461269e-21, 1.2754075534831208e-21, + 1.3723331176377290e-21, 1.4708208794375214e-21, 1.5708388257440445e-21, 1.6723581984374566e-21, + 1.7753530675030514e-21, 1.8797999785104595e-21, 1.9856776587832504e-21, 2.0929667704053244e-21, + 2.2016497009958240e-21, 2.3117103852306179e-21, 2.4231341516125464e-21, 2.5359075901420891e-21, + 2.6500184374170538e-21, 2.7654554763660391e-21, 2.8822084483468604e-21, 3.0002679757547711e-21, + 3.1196254936130377e-21, 3.2402731888801749e-21, 3.3622039464187092e-21, 3.4854113007409036e-21, + 3.6098893927859475e-21, 3.7356329310971768e-21, 3.8626371568620053e-21, 3.9908978123552837e-21, + 4.1204111123918948e-21, 4.2511737184488913e-21, 4.3831827151633737e-21, 4.5164355889510656e-21, + 4.6509302085234806e-21, 4.7866648071096003e-21, 4.9236379662119969e-21, 5.0618486007478993e-21, + 5.2012959454434732e-21, 5.3419795423648946e-21, 5.4838992294830959e-21, 5.6270551301806347e-21, + 5.7714476436191935e-21, 5.9170774358950678e-21, 6.0639454319177027e-21, 6.2120528079531677e-21, + 6.3614009847804375e-21, 6.5119916214136427e-21, 6.6638266093481696e-21, 6.8169080672926277e-21, + 6.9712383363524377e-21, 7.1268199756340822e-21, 7.2836557582420336e-21, 7.4417486676430174e-21, + 7.6011018943746355e-21, 7.7617188330775411e-21, 7.9236030798322572e-21, 8.0867584297834842e-21, + 8.2511888750363333e-21, 8.4168986028103258e-21, 8.5838919938383098e-21, 8.7521736209986459e-21, + 8.9217482481700712e-21, 9.0926208292996504e-21, 9.2647965076751277e-21, 9.4382806153938292e-21, + 9.6130786730210328e-21, 9.7891963894314161e-21, 9.9666396618278840e-21, 1.0145414575932636e-20, + 1.0325527406345955e-20, 1.0506984617068672e-20, 1.0689792862184811e-20, 1.0873958986701341e-20, + 1.1059490027542400e-20, 1.1246393214695825e-20, 1.1434675972510121e-20, 1.1624345921140471e-20, + 1.1815410878142659e-20, 1.2007878860214202e-20, 1.2201758085082226e-20, 1.2397056973538040e-20, + 1.2593784151618565e-20, 1.2791948452935152e-20, 1.2991558921150600e-20, 1.3192624812605428e-20, + 1.3395155599094805e-20, 1.3599160970797774e-20, 1.3804650839360727e-20, 1.4011635341137284e-20, + 1.4220124840587164e-20, 1.4430129933836705e-20, 1.4641661452404201e-20, 1.4854730467093280e-20, + 1.5069348292058084e-20, 1.5285526489044050e-20, 1.5503276871808626e-20, 1.5722611510726402e-20, + 1.5943542737583543e-20, 1.6166083150566702e-20, 1.6390245619451956e-20, 1.6616043290999594e-20, + 1.6843489594561079e-20, 1.7072598247904713e-20, 1.7303383263267072e-20, 1.7535858953637607e-20, + 1.7770039939284241e-20, 1.8005941154528286e-20, 1.8243577854777398e-20, 1.8482965623825808e-20, + 1.8724120381431627e-20, 1.8967058391181452e-20, 1.9211796268653192e-20, 1.9458350989888484e-20, + 1.9706739900186868e-20, 1.9956980723234356e-20, 2.0209091570579904e-20, 2.0463090951473895e-20, + 2.0718997783083593e-20, 2.0976831401101350e-20, 2.1236611570762130e-20, 2.1498358498287976e-20, + 2.1762092842777868e-20, 2.2027835728562592e-20, 2.2295608758045219e-20, 2.2565434025049041e-20, + 2.2837334128696004e-20, 2.3111332187840010e-20, 2.3387451856080863e-20, 2.3665717337386111e-20, + 2.3946153402349610e-20, 2.4228785405117410e-20, 2.4513639301013211e-20, 2.4800741664897764e-20, + 2.5090119710298442e-20, 2.5381801309347597e-20, 2.5675815013570500e-20, 2.5972190075566336e-20, + 2.6270956471628253e-20, 2.6572144925351523e-20, 2.6875786932281841e-20, 2.7181914785659148e-20, + 2.7490561603315974e-20, 2.7801761355793055e-20, 2.8115548895739172e-20, 2.8431959988666534e-20, + 2.8751031345137833e-20, 2.9072800654466307e-20, 2.9397306620015486e-20, 2.9724588996191657e-20, + 3.0054688627228112e-20, 3.0387647487867642e-20, 3.0723508726057078e-20, 3.1062316707775905e-20, + 3.1404117064129991e-20, 3.1748956740850969e-20, 3.2096884050352357e-20, 3.2447948726504914e-20, + 3.2802201982306013e-20, 3.3159696570631373e-20, 3.3520486848272230e-20, 3.3884628843476888e-20, + 3.4252180327233346e-20, 3.4623200888548644e-20, 3.4997752014001677e-20, 3.5375897171869060e-20, + 3.5757701901149035e-20, 3.6143233905835799e-20, 3.6532563154827400e-20, 3.6925761987883572e-20, + 3.7322905228086981e-20, 3.7724070301302117e-20, 3.8129337363171041e-20, 3.8538789434235234e-20, + 3.8952512543827862e-20, 3.9370595883442399e-20, 3.9793131970351439e-20, 4.0220216822325769e-20, + 4.0651950144388133e-20, 4.1088435528630944e-20, 4.1529780668232712e-20, 4.1976097586926582e-20, + 4.2427502885307452e-20, 4.2884118005513604e-20, 4.3346069515987453e-20, 4.3813489418210257e-20, + 4.4286515477520838e-20, 4.4765291580372353e-20, 4.5249968120658306e-20, 4.5740702418054417e-20, + 4.6237659171683015e-20, 4.6741010952818368e-20, 4.7250938740823415e-20, 4.7767632507051219e-20, + 4.8291291852069895e-20, 4.8822126702292804e-20, 4.9360358072933852e-20, 4.9906218905182021e-20, + 5.0459954986625539e-20, 5.1021825965285324e-20, 5.1592106469178258e-20, 5.2171087345169234e-20, + 5.2759077033045284e-20, 5.3356403093325858e-20, 5.3963413910399511e-20, 5.4580480596259246e-20, + 5.5207999124535584e-20, 5.5846392729873830e-20, 5.6496114614193770e-20, 5.7157651009290713e-20, + 5.7831524654956632e-20, 5.8518298763794323e-20, 5.9218581558791713e-20, 5.9933031488338700e-20, + 6.0662363246796887e-20, 6.1407354758435000e-20, 6.2168855320499763e-20, 6.2947795150103727e-20, + 6.3745196643214394e-20, 6.4562187737537985e-20, 6.5400017881889097e-20, 6.6260077263309343e-20, + 6.7143920145146620e-20, 6.8053293447301698e-20, 6.8990172088133000e-20, 6.9956803158564498e-20, + 7.0955761794878430e-20, 7.1990022788945080e-20, 7.3063053739105458e-20, 7.4178938266266893e-20, + 7.5342542134173124e-20, 7.6559742171142969e-20, 7.7837749863412850e-20, 7.9185582674029512e-20, + 8.0614775537353300e-20, 8.2140502769818073e-20, 8.3783445978280519e-20, 8.5573129249678161e-20, + 8.7554459669590100e-20, 8.9802388057706877e-20, 9.2462471421151086e-20, 9.5919641344951721e-20, + 1.0842021724855044e-19 }; + + // alias_threshold[j] is a threshold for the probability mass function that has been + // scaled by (2**64 - 1), translated by -(2**63), and represented as a long value; + // in this way it can be directly compared to a randomly chosen long value. + static final long[] exponentialAliasThreshold = { // 256 entries + 9223372036854775807L, 1623796909450829958L, 2664290944894281002L, 7387971354164055035L, + 6515064486552722205L, 8840508362680707094L, 6099647593382923818L, 7673130333659514446L, + 6220332867583438718L, 5045979640552814279L, 4075305837223956071L, 3258413672162525964L, + 2560664887087763045L, 1957224924672900129L, 1429800935350578000L, 964606309710808688L, + 551043923599587587L, 180827629096889062L, -152619738120023316L, -454588624410291246L, + -729385126147774679L, -980551509819444511L, -1211029700667463575L, -1423284293868546830L, + -1619396356369066372L, -1801135830956194794L, -1970018048575634032L, -2127348289059688469L, + -2274257249303687482L, -2411729520096654942L, -2540626634159182211L, -2661705860113406183L, + -2775635634532464842L, -2883008316030448462L, -2984350790383654449L, -3080133339198118132L, + -3170777096303105047L, -3256660348483802362L, -3338123885075135933L, -3415475560473298752L, + -3488994201966444258L, -3558932970354456420L, -3625522261068040742L, -3688972217741991689L, + -3749474917563779627L, -3807206277531072172L, -3862327722496826830L, -3914987649156779312L, + -3965322714631864882L, -4013458973776911635L, -4059512885612766613L, -4103592206186240662L, + -4145796782586127736L, -4186219260694346585L, -4224945717447274810L, -4262056226866285147L, + -4297625367836519229L, -4331722680528536958L, -4364413077437472159L, -4395757214229421760L, + -4425811824915119137L, -4454630025296932322L, -4482261588141294467L, -4508753193105275908L, + -4534148654077813412L, -4558489126279965349L, -4581813295192216486L, -4604157549138252679L, + -4625556137145250151L, -4646041313519109096L, -4665643470413305673L, -4684391259530342697L, + -4702311703971745066L, -4719430301145102986L, -4735771117539946027L, -4751356876102086987L, + -4766209036859150188L, -4780347871385996716L, -4793792531638885869L, -4806561113635132333L, + -4818670716409312334L, -4830137496634465358L, -4840976719260854030L, -4851202804490332239L, + -4860829371376476047L, -4869869278311650511L, -4878334660640770576L, -4886236965617426832L, + -4893586984900802224L, -4900394884772702384L, -4906670234238884945L, -4912422031164489009L, + -4917658726580135697L, -4922388247283531793L, -4926618016851042065L, -4930354975163351025L, + -4933605596540650674L, -4936375906575303186L, -4938671497741357106L, -4940497543854583186L, + -4941858813449628882L, -4942759682136114354L, -4943204143989086194L, -4943195822025527282L, + -4942737977813222130L, -4941833520255011698L, -4940485013586759090L, -4938694684624342322L, + -4936464429291795314L, -4933795818458824946L, -4930690103114057265L, -4927148218896863345L, + -4923170790008291569L, -4918758132519196401L, -4913910257091661489L, -4908626871126522161L, + -4902907380349538608L, -4896750889844272240L, -4890156204540530416L, -4883121829162570096L, + -4875645967641780528L, -4867726521994909999L, -4859361090668119087L, -4850546966345102383L, + -4841281133215538414L, -4831560263698491374L, -4821380714613452974L, -4810738522790065581L, + -4799629400105481389L, -4788048727936296621L, -4775991551010524588L, -4763452570642113772L, + -4750426137329493931L, -4736906242696388587L, -4722886510751367403L, -4708360188440104938L, + -4693320135461420394L, -4677758813316098089L, -4661668273553495721L, -4645040145179234152L, + -4627865621182771687L, -4610135444140936871L, -4591839890849352486L, -4572968755929944934L, + -4553511334358213029L, -4533456402849109028L, -4512792200036270244L, -4491506405372580067L, + -4469586116675401954L, -4447017826233099938L, -4423787395382284961L, -4399880027458416864L, + -4375280239014124063L, -4349971829190464606L, -4323937847117722654L, -4297160557210942813L, + -4269621402214950684L, -4241300963840750107L, -4212178920821854874L, -4182234004204445017L, + -4151443949668869272L, -4119785446662323159L, -4087234084103169942L, -4053764292396165205L, + -4019349281473092435L, -3983960974549686930L, -3947569937258414993L, -3910145301787337104L, + -3871654685619049615L, -3832064104425389837L, -3791337878631529676L, -3749438533114328651L, + -3706326689447979465L, -3661960950051859912L, -3616297773528542022L, -3569291340409179909L, + -3520893408440947267L, -3471053156460649921L, -3419717015797783872L, -3366828488034801534L, + -3312327947826461820L, -3256152429334023226L, -3198235394669709240L, -3138506482563174262L, + -3076891235255164340L, -3013310801389715890L, -2947681612411392816L, -2879915029671670702L, + -2809916959107519276L, -2737587429961855017L, -2662820133571332903L, -2585501917733374884L, + -2505512231579392929L, -2422722515205190175L, -2336995527534106140L, -2248184604988712345L, + -2156132842510782614L, -2060672187261016979L, -1961622433929380112L, -1858790108950090508L, + -1751967229002904073L, -1640929916937134981L, -1525436855617591297L, -1405227557075245821L, + -1280020420662651897L, -1149510549536605301L, -1013367289578706928L, -871231448632089708L, + -722712146453677415L, -567383236774421729L, -404779231966956764L, -234390647591531478L, + -55658667960121553L, 132030985907831093L, 329355128892817467L, 537061298001091010L, + 755977262693561929L, 987022116608030929L, 1231219266829437401L, 1489711711346524770L, + 1763780090187559275L, 2054864117341782772L, 2364588157623782527L, 2694791916990482441L, + 3047567482883491349L, 3425304305830820514L, 3830744187097285423L, 4267048975685836605L, + 4737884547990014029L, 5247525842199011422L, 5800989391535342064L, 6404202162993303300L, + 7064218894258526746L, 7789505049452354354L, 8590309807749425484L, 7643763810684501605L, + 8891950541491453167L, 5457384281016234818L, 9083704440929285914L, 7976211653914461751L, + 8178631350487124609L, 2821287825726757492L, 6322989683301736617L, 4309503753387630347L, + 4685170734960191673L, 8404845967535252693L, 7330522972447610419L, 1960945799077061994L, + 4742910674644933674L, -751799822533438695L, 7023456603742021660L, 3843116882594755262L, + 3927231442413889375L, -9223372036854775807L, -9223372036854775807L, -9223372036854775807L }; + + static final byte[] exponentialAliasMap = { // 256 entries + (byte) 0, (byte) 0, (byte) 1, (byte)235, (byte) 3, (byte) 4, (byte) 5, (byte) 0, + (byte) 0, (byte) 0, (byte) 0, (byte) 0, (byte) 0, (byte) 0, (byte) 0, (byte) 0, + (byte) 0, (byte) 0, (byte) 1, (byte) 1, (byte) 1, (byte) 1, (byte) 2, (byte) 2, + (byte)252, (byte)252, (byte)252, (byte)252, (byte)252, (byte)252, (byte)252, (byte)252, + (byte)252, (byte)252, (byte)252, (byte)252, (byte)252, (byte)252, (byte)252, (byte)252, + (byte)252, (byte)252, (byte)252, (byte)252, (byte)252, (byte)252, (byte)252, (byte)252, + (byte)252, (byte)252, (byte)252, (byte)252, (byte)252, (byte)252, (byte)252, (byte)252, + (byte)252, (byte)252, (byte)252, (byte)252, (byte)252, (byte)252, (byte)252, (byte)252, + (byte)252, (byte)252, (byte)252, (byte)252, (byte)252, (byte)252, (byte)252, (byte)252, + (byte)252, (byte)252, (byte)252, (byte)252, (byte)252, (byte)252, (byte)252, (byte)252, + (byte)252, (byte)252, (byte)252, (byte)252, (byte)252, (byte)252, (byte)252, (byte)252, + (byte)252, (byte)252, (byte)252, (byte)252, (byte)252, (byte)252, (byte)252, (byte)252, + (byte)252, (byte)252, (byte)252, (byte)252, (byte)252, (byte)252, (byte)252, (byte)252, + (byte)252, (byte)252, (byte)252, (byte)252, (byte)252, (byte)252, (byte)252, (byte)252, + (byte)252, (byte)252, (byte)252, (byte)252, (byte)252, (byte)252, (byte)252, (byte)252, + (byte)252, (byte)252, (byte)252, (byte)252, (byte)252, (byte)252, (byte)252, (byte)252, + (byte)252, (byte)252, (byte)252, (byte)252, (byte)252, (byte)252, (byte)252, (byte)252, + (byte)252, (byte)252, (byte)252, (byte)252, (byte)252, (byte)252, (byte)252, (byte)252, + (byte)252, (byte)252, (byte)252, (byte)252, (byte)252, (byte)252, (byte)252, (byte)252, + (byte)252, (byte)252, (byte)252, (byte)252, (byte)252, (byte)252, (byte)252, (byte)252, + (byte)252, (byte)252, (byte)252, (byte)252, (byte)252, (byte)252, (byte)252, (byte)252, + (byte)252, (byte)252, (byte)252, (byte)252, (byte)252, (byte)252, (byte)252, (byte)252, + (byte)252, (byte)251, (byte)251, (byte)251, (byte)251, (byte)251, (byte)251, (byte)251, + (byte)251, (byte)251, (byte)251, (byte)251, (byte)251, (byte)251, (byte)250, (byte)250, + (byte)250, (byte)250, (byte)250, (byte)250, (byte)250, (byte)249, (byte)249, (byte)249, + (byte)249, (byte)249, (byte)249, (byte)248, (byte)248, (byte)248, (byte)248, (byte)247, + (byte)247, (byte)247, (byte)247, (byte)246, (byte)246, (byte)246, (byte)245, (byte)245, + (byte)244, (byte)244, (byte)243, (byte)243, (byte)242, (byte)241, (byte)241, (byte)240, + (byte)239, (byte)237, (byte) 3, (byte) 3, (byte) 4, (byte) 4, (byte) 6, (byte) 0, + (byte) 0, (byte) 0, (byte) 0, (byte)236, (byte)237, (byte)238, (byte)239, (byte)240, + (byte)241, (byte)242, (byte)243, (byte)244, (byte)245, (byte)246, (byte)247, (byte)248, + (byte)249, (byte)250, (byte)251, (byte)252, (byte) 2, (byte) 0, (byte) 0, (byte) 0 }; + + // Implementation support for modified-ziggurat implementation of nextGaussian() + + // Fraction of the area under the curve that lies outside the layer boxes: 0.0117 + // Fraction of non-box area that lies in the tail of the distribution: 0.0236 + + static final int normalNumberOfLayers = 253; + static final int normalLayerMask = 0xff; + static final int normalAliasMask = 0xff; + static final int normalSignCorrectionMask = 0xff; + static final double normalX0 = 3.63600662550094578; + static final int normalInflectionIndex = 204; + static final long normalConvexMargin = 760463704284035183L; // unscaled convex margin = 0.0824 + static final long normalConcaveMargin = 2269182951627976012L; // unscaled concave margin = 0.2460 + + // normal_X[i] = length of ziggurat layer i for normal distribution, scaled by 2**(-63) + static final double[] normalX = { // 254 entries, which is normal_number_of_layers+1 + 3.9421662825398133e-19, 3.7204945004119012e-19, 3.5827024480628678e-19, 3.4807476236540249e-19, + 3.3990177171882136e-19, 3.3303778360340139e-19, 3.2709438817617550e-19, 3.2183577132495100e-19, + 3.1710758541840432e-19, 3.1280307407034065e-19, 3.0884520655804019e-19, 3.0517650624107352e-19, + 3.0175290292584600e-19, 2.9853983440705320e-19, 2.9550967462801797e-19, 2.9263997988491663e-19, + 2.8991225869977476e-19, 2.8731108780226291e-19, 2.8482346327101335e-19, 2.8243831535194389e-19, + 2.8014613964727031e-19, 2.7793871261807797e-19, 2.7580886921411212e-19, 2.7375032698308758e-19, + 2.7175754543391047e-19, 2.6982561247538484e-19, 2.6795015188771505e-19, 2.6612724730440033e-19, + 2.6435337927976633e-19, 2.6262537282028438e-19, 2.6094035335224142e-19, 2.5929570954331002e-19, + 2.5768906173214726e-19, 2.5611823497719608e-19, 2.5458123593393361e-19, 2.5307623292372459e-19, + 2.5160153867798400e-19, 2.5015559533646191e-19, 2.4873696135403158e-19, 2.4734430003079206e-19, + 2.4597636942892726e-19, 2.4463201347912450e-19, 2.4331015411139206e-19, 2.4200978427132955e-19, + 2.4072996170445879e-19, 2.3946980340903347e-19, 2.3822848067252674e-19, 2.3700521461931801e-19, + 2.3579927220741330e-19, 2.3460996262069972e-19, 2.3343663401054455e-19, 2.3227867054673840e-19, + 2.3113548974303765e-19, 2.3000654002704238e-19, 2.2889129852797606e-19, 2.2778926905921897e-19, + 2.2669998027527321e-19, 2.2562298398527416e-19, 2.2455785360727260e-19, 2.2350418274933911e-19, + 2.2246158390513294e-19, 2.2142968725296249e-19, 2.2040813954857555e-19, 2.1939660310297601e-19, + 2.1839475483749618e-19, 2.1740228540916853e-19, 2.1641889840016519e-19, 2.1544430956570613e-19, + 2.1447824613540345e-19, 2.1352044616350571e-19, 2.1257065792395107e-19, 2.1162863934653125e-19, + 2.1069415749082026e-19, 2.0976698805483467e-19, 2.0884691491567363e-19, 2.0793372969963634e-19, + 2.0702723137954107e-19, 2.0612722589717129e-19, 2.0523352580895635e-19, 2.0434594995315797e-19, + 2.0346432313698148e-19, 2.0258847584216418e-19, 2.0171824394771313e-19, 2.0085346846857531e-19, + 1.9999399530912015e-19, 1.9913967503040585e-19, 1.9829036263028144e-19, 1.9744591733545175e-19, + 1.9660620240469857e-19, 1.9577108494251485e-19, 1.9494043572246307e-19, 1.9411412901962161e-19, + 1.9329204245152935e-19, 1.9247405682708168e-19, 1.9166005600287074e-19, 1.9084992674649826e-19, + 1.9004355860642340e-19, 1.8924084378793725e-19, 1.8844167703488436e-19, 1.8764595551677749e-19, + 1.8685357872097450e-19, 1.8606444834960934e-19, 1.8527846822098793e-19, 1.8449554417517928e-19, + 1.8371558398354868e-19, 1.8293849726199566e-19, 1.8216419538767393e-19, 1.8139259141898448e-19, + 1.8062360001864453e-19, 1.7985713737964743e-19, 1.7909312115393845e-19, 1.7833147038364200e-19, + 1.7757210543468428e-19, 1.7681494793266395e-19, 1.7605992070083140e-19, 1.7530694770004409e-19, + 1.7455595397057217e-19, 1.7380686557563475e-19, 1.7305960954655264e-19, 1.7231411382940904e-19, + 1.7157030723311378e-19, 1.7082811937877138e-19, 1.7008748065025788e-19, 1.6934832214591352e-19, + 1.6861057563126349e-19, 1.6787417349268046e-19, 1.6713904869190636e-19, 1.6640513472135291e-19, + 1.6567236556010242e-19, 1.6494067563053266e-19, 1.6420999975549115e-19, 1.6348027311594532e-19, + 1.6275143120903661e-19, 1.6202340980646725e-19, 1.6129614491314931e-19, 1.6056957272604589e-19, + 1.5984362959313479e-19, 1.5911825197242491e-19, 1.5839337639095554e-19, 1.5766893940370800e-19, + 1.5694487755235889e-19, 1.5622112732380261e-19, 1.5549762510837070e-19, 1.5477430715767271e-19, + 1.5405110954198330e-19, 1.5332796810709688e-19, 1.5260481843056974e-19, 1.5188159577726683e-19, + 1.5115823505412761e-19, 1.5043467076406199e-19, 1.4971083695888395e-19, 1.4898666719118714e-19, + 1.4826209446506113e-19, 1.4753705118554365e-19, 1.4681146910669830e-19, 1.4608527927820112e-19, + 1.4535841199031451e-19, 1.4463079671711862e-19, 1.4390236205786415e-19, 1.4317303567630177e-19, + 1.4244274423783481e-19, 1.4171141334433217e-19, 1.4097896746642792e-19, 1.4024532987312287e-19, + 1.3951042255849034e-19, 1.3877416616527576e-19, 1.3803647990516385e-19, 1.3729728147547174e-19, + 1.3655648697200824e-19, 1.3581401079782068e-19, 1.3506976556752901e-19, 1.3432366200692418e-19, + 1.3357560884748263e-19, 1.3282551271542047e-19, 1.3207327801488087e-19, 1.3131880680481524e-19, + 1.3056199866908076e-19, 1.2980275057923788e-19, 1.2904095674948608e-19, 1.2827650848312727e-19, + 1.2750929400989213e-19, 1.2673919831340482e-19, 1.2596610294799512e-19, 1.2518988584399374e-19, + 1.2441042110056523e-19, 1.2362757876504165e-19, 1.2284122459762072e-19, 1.2205121982017852e-19, + 1.2125742084782245e-19, 1.2045967900166973e-19, 1.1965784020118020e-19, 1.1885174463419555e-19, + 1.1804122640264091e-19, 1.1722611314162064e-19, 1.1640622560939109e-19, 1.1558137724540874e-19, + 1.1475137369333185e-19, 1.1391601228549047e-19, 1.1307508148492592e-19, 1.1222836028063025e-19, + 1.1137561753107903e-19, 1.1051661125053526e-19, 1.0965108783189755e-19, 1.0877878119905372e-19, + 1.0789941188076655e-19, 1.0701268599703640e-19, 1.0611829414763286e-19, 1.0521591019102928e-19, + 1.0430518990027552e-19, 1.0338576948035472e-19, 1.0245726392923699e-19, 1.0151926522209310e-19, + 1.0057134029488235e-19, 9.9613028799672809e-20, 9.8643840599459914e-20, 9.7663252964755816e-20, + 9.6670707427623454e-20, 9.5665606240866670e-20, 9.4647308380433213e-20, 9.3615125017323508e-20, + 9.2568314370887282e-20, 9.1506075837638774e-20, 9.0427543267725716e-20, 8.9331777233763680e-20, + 8.8217756102327883e-20, 8.7084365674892319e-20, 8.5930387109612162e-20, 8.4754482764244349e-20, + 8.3555179508462343e-20, 8.2330848933585364e-20, 8.1079683729129853e-20, 7.9799669284133864e-20, + 7.8488549286072745e-20, 7.7143783700934692e-20, 7.5762496979467566e-20, 7.4341413578485329e-20, + 7.2876776807378431e-20, 7.1364245443525374e-20, 6.9798760240761066e-20, 6.8174368944799054e-20, + 6.6483992986198539e-20, 6.4719110345162767e-20, 6.2869314813103699e-20, 6.0921687548281263e-20, + 5.8859873575576818e-20, 5.6662675116090981e-20, 5.4301813630894571e-20, 5.1738171744494220e-20, + 4.8915031722398545e-20, 4.5744741890755301e-20, 4.2078802568583416e-20, 3.7625986722404761e-20, + 3.1628589805881879e-20, 0.0000000000000000e+00 }; + + // normal_Y[i] = value of the normal distribution function at normal_X[i], scaled by 2**(-63) + static final double[] normalY = { // 254 entries, which is normal_number_of_layers+1 + 1.4598410796619063e-22, 3.0066613427942797e-22, 4.6129728815103466e-22, 6.2663350049234362e-22, + 7.9594524761881544e-22, 9.6874655021705039e-22, 1.1446877002379439e-21, 1.3235036304379167e-21, + 1.5049857692053131e-21, 1.6889653000719298e-21, 1.8753025382711626e-21, 2.0638798423695191e-21, + 2.2545966913644708e-21, 2.4473661518801799e-21, 2.6421122727763533e-21, 2.8387681187879908e-21, + 3.0372742567457284e-21, 3.2375775699986589e-21, 3.4396303157948780e-21, 3.6433893657997798e-21, + 3.8488155868912312e-21, 4.0558733309492775e-21, 4.2645300104283590e-21, 4.4747557422305067e-21, + 4.6865230465355582e-21, 4.8998065902775257e-21, 5.1145829672105489e-21, 5.3308305082046173e-21, + 5.5485291167031758e-21, 5.7676601252690476e-21, 5.9882061699178461e-21, 6.2101510795442221e-21, + 6.4334797782257209e-21, 6.6581781985713897e-21, 6.8842332045893181e-21, 7.1116325227957095e-21, + 7.3403646804903092e-21, 7.5704189502886418e-21, 7.8017853001379744e-21, 8.0344543481570017e-21, + 8.2684173217333118e-21, 8.5036660203915022e-21, 8.7401927820109521e-21, 8.9779904520281901e-21, + 9.2170523553061439e-21, 9.4573722703928820e-21, 9.6989444059269430e-21, 9.9417633789758424e-21, + 1.0185824195119818e-20, 1.0431122230114770e-20, 1.0677653212987396e-20, 1.0925413210432004e-20, + 1.1174398612392891e-20, 1.1424606118728715e-20, 1.1676032726866302e-20, 1.1928675720361027e-20, + 1.2182532658289373e-20, 1.2437601365406785e-20, 1.2693879923010674e-20, 1.2951366660454145e-20, + 1.3210060147261461e-20, 1.3469959185800733e-20, 1.3731062804473644e-20, 1.3993370251385596e-20, + 1.4256880988463136e-20, 1.4521594685988369e-20, 1.4787511217522902e-20, 1.5054630655196170e-20, + 1.5322953265335218e-20, 1.5592479504415048e-20, 1.5863210015310328e-20, 1.6135145623830982e-20, + 1.6408287335525592e-20, 1.6682636332737932e-20, 1.6958193971903124e-20, 1.7234961781071113e-20, + 1.7512941457646084e-20, 1.7792134866331487e-20, 1.8072544037271070e-20, 1.8354171164377277e-20, + 1.8637018603838945e-20, 1.8921088872801004e-20, 1.9206384648209468e-20, 1.9492908765815636e-20, + 1.9780664219333857e-20, 2.0069654159747839e-20, 2.0359881894760859e-20, 2.0651350888385696e-20, + 2.0944064760670539e-20, 2.1238027287557466e-20, 2.1533242400870487e-20, 2.1829714188430474e-20, + 2.2127446894294597e-20, 2.2426444919118270e-20, 2.2726712820637798e-20, 2.3028255314272276e-20, + 2.3331077273843558e-20, 2.3635183732413286e-20, 2.3940579883236352e-20, 2.4247271080830277e-20, + 2.4555262842160330e-20, 2.4864560847940368e-20, 2.5175170944049622e-20, 2.5487099143065929e-20, + 2.5800351625915997e-20, 2.6114934743643687e-20, 2.6430855019297323e-20, 2.6748119149937411e-20, + 2.7066734008766247e-20, 2.7386706647381193e-20, 2.7708044298153558e-20, 2.8030754376735269e-20, + 2.8354844484695747e-20, 2.8680322412291631e-20, 2.9007196141372126e-20, 2.9335473848423219e-20, + 2.9665163907753988e-20, 2.9996274894828624e-20, 3.0328815589748056e-20, 3.0662794980885287e-20, + 3.0998222268678760e-20, 3.1335106869588609e-20, 3.1673458420220558e-20, 3.2013286781622988e-20, + 3.2354602043762612e-20, 3.2697414530184806e-20, 3.3041734802864950e-20, 3.3387573667257349e-20, + 3.3734942177548938e-20, 3.4083851642125208e-20, 3.4434313629256243e-20, 3.4786339973011376e-20, + 3.5139942779411164e-20, 3.5495134432826171e-20, 3.5851927602632460e-20, 3.6210335250134172e-20, + 3.6570370635764384e-20, 3.6932047326575882e-20, 3.7295379204034252e-20, 3.7660380472126401e-20, + 3.8027065665798284e-20, 3.8395449659736649e-20, 3.8765547677510167e-20, 3.9137375301086406e-20, + 3.9510948480742172e-20, 3.9886283545385430e-20, 4.0263397213308566e-20, 4.0642306603393541e-20, + 4.1023029246790967e-20, 4.1405583099096438e-20, 4.1789986553048817e-20, 4.2176258451776819e-20, + 4.2564418102621759e-20, 4.2954485291566197e-20, 4.3346480298300118e-20, 4.3740423911958146e-20, + 4.4136337447563716e-20, 4.4534242763218286e-20, 4.4934162278076256e-20, 4.5336118991149025e-20, + 4.5740136500984466e-20, 4.6146239026271279e-20, 4.6554451427421133e-20, 4.6964799229185088e-20, + 4.7377308644364938e-20, 4.7792006598684169e-20, 4.8208920756888113e-20, 4.8628079550147814e-20, + 4.9049512204847653e-20, 4.9473248772842596e-20, 4.9899320163277674e-20, 5.0327758176068971e-20, + 5.0758595537153414e-20, 5.1191865935622696e-20, 5.1627604062866059e-20, 5.2065845653856416e-20, + 5.2506627530725194e-20, 5.2949987648783448e-20, 5.3395965145159426e-20, 5.3844600390237576e-20, + 5.4295935042099358e-20, 5.4750012104183868e-20, 5.5206875986405073e-20, 5.5666572569983821e-20, + 5.6129149276275792e-20, 5.6594655139902476e-20, 5.7063140886520563e-20, 5.7534659015596918e-20, + 5.8009263888591218e-20, 5.8487011822987583e-20, 5.8967961192659803e-20, 5.9452172535103471e-20, + 5.9939708666122605e-20, 6.0430634802618929e-20, 6.0925018694200531e-20, 6.1422930764402860e-20, + 6.1924444262401531e-20, 6.2429635426193939e-20, 6.2938583658336214e-20, 6.3451371715447563e-20, + 6.3968085912834963e-20, 6.4488816345752736e-20, 6.5013657128995346e-20, 6.5542706656731714e-20, + 6.6076067884730717e-20, 6.6613848637404196e-20, 6.7156161942412980e-20, 6.7703126395950580e-20, + 6.8254866562246408e-20, 6.8811513411327825e-20, 6.9373204799659681e-20, 6.9940085998959109e-20, + 7.0512310279279503e-20, 7.1090039553397167e-20, 7.1673445090644796e-20, 7.2262708309655784e-20, + 7.2858021661057338e-20, 7.3459589613035800e-20, 7.4067629754967553e-20, 7.4682374037052817e-20, + 7.5304070167226666e-20, 7.5932983190698547e-20, 7.6569397282483754e-20, 7.7213617789487678e-20, + 7.7865973566417016e-20, 7.8526819659456755e-20, 7.9196540403850560e-20, 7.9875553017037968e-20, + 8.0564311788901630e-20, 8.1263312996426176e-20, 8.1973100703706304e-20, 8.2694273652634034e-20, + 8.3427493508836792e-20, 8.4173494807453416e-20, 8.4933097052832066e-20, 8.5707219578230905e-20, + 8.6496899985930695e-20, 8.7303317295655327e-20, 8.8127821378859504e-20, 8.8971970928196666e-20, + 8.9837583239314064e-20, 9.0726800697869543e-20, 9.1642181484063544e-20, 9.2586826406702765e-20, + 9.3564561480278864e-20, 9.4580210012636175e-20, 9.5640015550850358e-20, 9.6752334770503130e-20, + 9.7928851697808831e-20, 9.9186905857531331e-20, 1.0055456271343397e-19, 1.0208407377305566e-19, + 1.0390360993240711e-19, 1.0842021724855044e-19 }; + + // alias_threshold[j] is a threshold for the probability mass function that has been + // scaled by (2**64 - 1), translated by -(2**63), and represented as a long value; + // in this way it can be directly compared to a randomly chosen long value. + static final long[] normalAliasThreshold = { // 256 entries + 9223372036854775732L, 1100243796470199922L, 7866600928967318259L, 6788754710669718688L, + 9022865200207136940L, 6522434035182564354L, 4723064097388367094L, 3360495653202227820L, + 2289663232347306830L, 1423968905585875379L, 708364817795238883L, 106102487338962592L, + -408333464668584328L, -853239722790494085L, -1242095211827090004L, -1585059631108655444L, + -1889943050267333598L, -2162852901996526266L, -2408637386596951353L, -2631196530256993348L, + -2833704942542501760L, -3018774289008775598L, -3188573753501888049L, -3344920681670389334L, + -3489349705095933019L, -3623166100045386711L, -3747487436861293578L, -3863276422709141026L, + -3971367044055496571L, -4072485557008423504L, -4167267476835653997L, -4256271432259158584L, + -4339990541931699221L, -4418861817116128356L, -4493273980399812066L, -4563574004455583972L, + -4630072609765608272L, -4693048910437239656L, -4752754358851355990L, -4809416110064308151L, + -4863239903553549801L, -4914412541525462120L, -4963104028438393907L, -5009469424783376781L, + -5053650458852410933L, -5095776932714599237L, -5135967952538787362L, -5174333008440005397L, + -5210972924976812191L, -5245980700089102084L, -5279442247516610920L, -5311437055455710870L, + -5342038772315685218L, -5371315728848281940L, -5399331404596850615L, -5426144845492958401L, + -5451811038482575296L, -5476381248268660540L, -5499903320574200237L, -5522421955754019296L, + -5543978956088644891L, -5564613449670076120L, -5584362093426489951L, -5603259257517942559L, + -5621337193067953247L, -5638626184957155131L, -5655154691206501482L, -5670949470299055313L, + -5686035697633988263L, -5700437072176015065L, -5714175914241450413L, -5727273255262198220L, + -5739748920276454057L, -5751621603817308582L, -5762908939796390234L, -5773627565922293024L, + -5783793183134813122L, -5793420610488485693L, -5802523835876777512L, -5811116062947540603L, + -5819209754528321254L, -5826816672847738703L, -5833947916812588598L, -5840613956576464230L, + -5846824665611918318L, -5852589350480860931L, -5857916778478181241L, -5862815203308620040L, + -5867292388942958035L, -5871355631785040459L, -5875011781271709877L, -5878267259014830525L, + -5881128076587168793L, -5883599852042383670L, -5885687825255517495L, -5887396872158140520L, + -5888731517940791413L, -5889695949285098191L, -5890294025685452079L, -5890529289913339019L, + -5890404977673728891L, -5889924026498433105L, -5889089083917111413L, -5887902514943630556L, + -5886366408911444323L, -5884482585689698188L, -5882252601307215732L, -5879677753010810505L, + -5876759083779777633L, -5873497386319005871L, -5869893206546653493L, -5865946846595933526L, + -5861658367342436656L, -5857027590471882377L, -5852054100098427498L, -5846737243942430862L, + -5841076134076202917L, -5835069647242632620L, -5828716424752710909L, -5822014871963881822L, + -5814963157341321336L, -5807559211102860368L, -5799800723445392235L, -5791685142351319976L, + -5783209670970726741L, -5774371264573181466L, -5765166627063894671L, -5755592207054728713L, + -5745644193480823967L, -5735318510752045177L, -5724610813425415465L, -5713516480385581414L, + -5702030608515423737L, -5690148005840583288L, -5677863184127162093L, -5665170350911168791L, + -5652063400935782694L, -5638535906971010691L, -5624581109986711207L, -5610191908648783765L, + -5595360848105231304L, -5580080108024969737L, -5564341489852042876L, -5548136403231016978L, + -5531455851558564459L, -5514290416611714856L, -5496630242199355791L, -5478465016777918644L, + -5459783954970839371L, -5440575777921757436L, -5420828692410297267L, -5400530368650229789L, + -5379667916685479525L, -5358227861290596404L, -5336196115276119372L, -5313557951090901350L, + -5290297970603367798L, -5266400072934326313L, -5241847420204395031L, -5216622401044877639L, + -5190706591710560934L, -5164080714616987256L, -5136724594109421094L, -5108617109256031912L, + -5079736143434386281L, -5050058530465123570L, -5019559997019987907L, -4988215101007960589L, + -4955997165616088151L, -4922878208649305943L, -4888828866781574127L, -4853818314291958392L, + -4817814175818125756L, -4780782432613346925L, -4742687321741700014L, -4703491227589533028L, + -4663154565006030194L, -4621635653315226847L, -4578890580363657638L, -4534873055674290590L, + -4489534251682380820L, -4442822631912146606L, -4394683764829968681L, -4345060121963632469L, + -4293890858720706245L, -4241111576152819891L, -4186654061709945180L, -4130446006793453666L, + -4072410698652140640L, -4012466683862855933L, -3950527400292573339L, -3886500774045756804L, + -3820288777448438119L, -3751786943603804843L, -3680883832458819395L, -3607460442634330728L, + -3531389562479403081L, -3452535052892669800L, -3370751053387208615L, -3285881101636362572L, + -3197757155290696249L, -3106198503163967069L, -3011010550898974052L, -2911983463889090176L, + -2808890647471134035L, -2701487041141521265L, -2589507199668960785L, -2472663129352313038L, + -2350641842148622058L, -2223102583752258356L, -2089673683718520949L, -1949948966041670625L, + -1803483646850545328L, -1649789631543398131L, -1488330106106063370L, -1318513295716695859L, + -1139685236949889721L, -951121376566993538L, -752016768187462359L, -541474585679321485L, + -318492605702529265L, -81947227237782935L, 169425512586600501L, 437052607251310002L, + 722551297576808029L, 1027761939321803391L, 1354787941562529921L, 1706044619231670700L, + 2084319374410687061L, 2492846399585974279L, 2935400169364870493L, 3416413484632185639L, + 3941127949845221101L, 4515787798750242711L, 5147892401460631081L, 5846529325404347588L, + 6622819682189677227L, 7490522659877439279L, 8466869998300400224L, 8216968526327386835L, + 4550693915429835301L, 7628019504075715697L, 6605080500885794707L, 7121156327618549405L, + 2484871780310660533L, 7179104797025802172L, 7066086283790288107L, 1516500120772178463L, + 216305945406470492L, 6295963418490399062L, 2889316805640753770L, -2712587580563247199L, + 6562498853480442900L, 7975754821117214681L, -9223372036854775807L, -9223372036854775807L }; + + static final byte[] normalAliasMap = { // 256 entries + (byte) 0, (byte) 0, (byte)239, (byte) 2, (byte) 0, (byte) 0, (byte) 0, (byte) 0, + (byte) 0, (byte) 0, (byte) 0, (byte) 0, (byte) 1, (byte) 1, (byte) 1, (byte)253, + (byte)253, (byte)253, (byte)253, (byte)253, (byte)253, (byte)253, (byte)253, (byte)253, + (byte)253, (byte)253, (byte)253, (byte)253, (byte)253, (byte)253, (byte)253, (byte)253, + (byte)253, (byte)253, (byte)253, (byte)253, (byte)253, (byte)253, (byte)253, (byte)253, + (byte)253, (byte)253, (byte)253, (byte)253, (byte)253, (byte)253, (byte)253, (byte)253, + (byte)253, (byte)253, (byte)253, (byte)253, (byte)253, (byte)253, (byte)253, (byte)253, + (byte)253, (byte)253, (byte)253, (byte)253, (byte)253, (byte)253, (byte)253, (byte)253, + (byte)253, (byte)253, (byte)253, (byte)253, (byte)253, (byte)253, (byte)253, (byte)253, + (byte)253, (byte)253, (byte)253, (byte)253, (byte)253, (byte)253, (byte)253, (byte)253, + (byte)253, (byte)253, (byte)253, (byte)253, (byte)253, (byte)253, (byte)253, (byte)253, + (byte)253, (byte)253, (byte)253, (byte)253, (byte)253, (byte)253, (byte)253, (byte)253, + (byte)253, (byte)253, (byte)253, (byte)253, (byte)253, (byte)253, (byte)253, (byte)253, + (byte)253, (byte)253, (byte)253, (byte)253, (byte)253, (byte)253, (byte)253, (byte)253, + (byte)253, (byte)253, (byte)253, (byte)253, (byte)253, (byte)253, (byte)253, (byte)253, + (byte)253, (byte)253, (byte)253, (byte)253, (byte)253, (byte)253, (byte)253, (byte)253, + (byte)253, (byte)253, (byte)253, (byte)253, (byte)253, (byte)253, (byte)253, (byte)253, + (byte)253, (byte)253, (byte)253, (byte)253, (byte)253, (byte)253, (byte)253, (byte)253, + (byte)253, (byte)253, (byte)253, (byte)253, (byte)253, (byte)253, (byte)253, (byte)253, + (byte)253, (byte)253, (byte)253, (byte)253, (byte)253, (byte)253, (byte)253, (byte)253, + (byte)253, (byte)253, (byte)253, (byte)253, (byte)253, (byte)253, (byte)253, (byte)253, + (byte)253, (byte)253, (byte)253, (byte)253, (byte)253, (byte)253, (byte)253, (byte)253, + (byte)253, (byte)253, (byte)253, (byte)253, (byte)253, (byte)253, (byte)253, (byte)253, + (byte)253, (byte)253, (byte)253, (byte)253, (byte)253, (byte)253, (byte)253, (byte)253, + (byte)253, (byte)253, (byte)252, (byte)252, (byte)252, (byte)252, (byte)252, (byte)252, + (byte)252, (byte)252, (byte)252, (byte)252, (byte)251, (byte)251, (byte)251, (byte)251, + (byte)251, (byte)251, (byte)251, (byte)250, (byte)250, (byte)250, (byte)250, (byte)250, + (byte)249, (byte)249, (byte)249, (byte)248, (byte)248, (byte)248, (byte)247, (byte)247, + (byte)247, (byte)246, (byte)246, (byte)245, (byte)244, (byte)244, (byte)243, (byte)242, + (byte)240, (byte) 2, (byte) 2, (byte) 3, (byte) 3, (byte) 0, (byte) 0, (byte)240, + (byte)241, (byte)242, (byte)243, (byte)244, (byte)245, (byte)246, (byte)247, (byte)248, + (byte)249, (byte)250, (byte)251, (byte)252, (byte)253, (byte) 1, (byte) 0, (byte) 0 }; + +}