1 /* 2 * CDDL HEADER START 3 * 4 * The contents of this file are subject to the terms of the 5 * Common Development and Distribution License (the "License"). 6 * You may not use this file except in compliance with the License. 7 * 8 * You can obtain a copy of the license at usr/src/OPENSOLARIS.LICENSE 9 * or http://www.opensolaris.org/os/licensing. 10 * See the License for the specific language governing permissions 11 * and limitations under the License. 12 * 13 * When distributing Covered Code, include this CDDL HEADER in each 14 * file and include the License file at usr/src/OPENSOLARIS.LICENSE. 15 * If applicable, add the following below this CDDL HEADER, with the 16 * fields enclosed by brackets "[]" replaced with your own identifying 17 * information: Portions Copyright [yyyy] [name of copyright owner] 18 * 19 * CDDL HEADER END 20 */ 21 /* 22 * Copyright 2011 Nexenta Systems, Inc. All rights reserved. 23 */ 24 /* 25 * Copyright 2005 Sun Microsystems, Inc. All rights reserved. 26 * Use is subject to license terms. 27 */ 28 29 #include "libm_protos.h" 30 31 /* 32 * Table of constants for x[i],sin(x[i]),cos(x[i]), where 33 * x[i] ~ (i+10.5)/64 chosen to make the value of sine and 34 * cosine nearly representable in double (with error less 35 * than 2**-8 ulp) 36 * By K.C. Ng, May 5, 1995 37 * 38 * For each i, _TBL_sincosx[i] := x[i], _TBL_sincos[2*i] := 39 * sin(x[i]), and _TBL_sincos[2*i+1] := cos(x[i]). 40 */ 41 42 const double _TBL_sincos[] = { 43 1.63327491736778435127e-01, 9.86571908399470176576e-01, 44 1.78722113534634630128e-01, 9.83899591489758251761e-01, 45 1.94073102892906523831e-01, 9.80987069605669836925e-01, 46 2.09376712086097482857e-01, 9.77835053797937558961e-01, 47 2.24629204957583178404e-01, 9.74444313586017130113e-01, 48 2.39826857830661321902e-01, 9.70815676770349522684e-01, 49 2.54965960415442560727e-01, 9.66950029230792762469e-01, 50 2.70042816718758793559e-01, 9.62848314709330965755e-01, 51 2.85053745940880454146e-01, 9.58511534581129587274e-01, 52 2.99995083378835347698e-01, 9.53940747608846839611e-01, 53 3.14863181320744367486e-01, 9.49137069684131584602e-01, 54 3.29654409930721814526e-01, 9.44101673557052656349e-01, 55 3.44365158144533722862e-01, 9.38835788546692695533e-01, 56 3.58991834544317267586e-01, 9.33340700243220688925e-01, 57 3.73530868238515501023e-01, 9.27617750192923362640e-01, 58 3.87978709726743087316e-01, 9.21668335573470609567e-01, 59 4.02331831777567594521e-01, 9.15493908848391546584e-01, 60 4.16586730281922223984e-01, 9.09095977415485534401e-01, 61 4.30739925110786514573e-01, 9.02476103237949467406e-01, 62 4.44787960958008266044e-01, 8.95635902466408118094e-01, 63 4.58727408216676513231e-01, 8.88577045028066558885e-01, 64 4.72554863751536879946e-01, 8.81301254251215970825e-01, 65 4.86266951795427115890e-01, 8.73810306411857196096e-01, 66 4.99860324731856597857e-01, 8.66106030321324382726e-01, 67 5.13331663943585647658e-01, 8.58190306862591900661e-01, 68 5.26677680590333596733e-01, 8.50065068549453184410e-01, 69 5.39895116435048061376e-01, 8.41732299041438647436e-01, 70 5.52980744632255882820e-01, 8.33194032663434169805e-01, 71 5.65931370507619768695e-01, 8.24452353914625679643e-01, 72 5.78743832357296650315e-01, 8.15509396946711651033e-01, 73 5.91415002201596706755e-01, 8.06367345054898265744e-01, 74 6.03941786558566895415e-01, 7.97028430138126520177e-01, 75 6.16321127179607297641e-01, 7.87494932169127248578e-01, 76 6.28550001844884853597e-01, 7.77769178600434929471e-01, 77 6.40625425044079821468e-01, 7.67853543839638774671e-01, 78 6.52544448725672743272e-01, 7.57750448655299613243e-01, 79 6.64304163044103668234e-01, 7.47462359562187539375e-01, 80 6.75901697026429104653e-01, 7.36991788256011193248e-01, 81 6.87334219302880855551e-01, 7.26341290975047959577e-01, 82 6.98598938789923074033e-01, 7.15513467882745946014e-01, 83 7.09693105361432152733e-01, 7.04510962443060329008e-01, 84 7.20614010544995853280e-01, 6.93336460750663685637e-01, 85 7.31358988151144640000e-01, 6.81992690906972898190e-01, 86 7.41925414945620254059e-01, 6.70482422333180339002e-01, 87 7.52310711296420575600e-01, 6.58808465085774175307e-01, 88 7.62512341773335489137e-01, 6.46973669204044199432e-01, 89 7.72527815799416095466e-01, 6.34980923978180178402e-01, 90 7.82354688238184881044e-01, 6.22833157267443926486e-01, 91 7.91990560000511156780e-01, 6.10533334773848967991e-01, 92 8.01433078627164507957e-01, 5.98084459321745920413e-01, 93 8.10679938859144910701e-01, 5.85489570130274028514e-01, 94 8.19728883213368231253e-01, 5.72751742053888568407e-01, 95 8.28577702516849257108e-01, 5.59874084854710574177e-01, 96 8.37224236455711978699e-01, 5.46859742430497508536e-01, 97 8.45666374107491569667e-01, 5.33711892039036461810e-01, 98 8.53902054441761149128e-01, 5.20433743544881588505e-01, 99 8.61929266833302509809e-01, 5.07028538621057900393e-01, 100 8.69746051561515076678e-01, 4.93499549942200410602e-01, 101 8.77350500260862697921e-01, 4.79850080433476600117e-01, 102 8.84740756420631879742e-01, 4.66083462405874393575e-01, 103 8.91915015812867362222e-01, 4.52203056787028545571e-01, 104 8.98871526946913745881e-01, 4.38212252275223035358e-01, 105 9.05608591487805036913e-01, 4.24114464529888268718e-01, 106 9.12124564678846838639e-01, 4.09913135321892496687e-01, 107 9.18417855741508804002e-01, 3.95611731695571844369e-01, 108 9.24486928255549345046e-01, 3.81213745141251114656e-01, 109 9.30330300545781363475e-01, 3.66722690716563270996e-01, 110 9.35946546034209125864e-01, 3.52142106210879102246e-01, 111 9.41334293596668869597e-01, 3.37475551260917883134e-01, 112 9.46492227896101323559e-01, 3.22726606483374089951e-01, 113 9.51419089686698082886e-01, 3.07898872650964328113e-01, 114 9.56113676155394554002e-01, 2.92995969713948978264e-01, 115 9.60574841181938254842e-01, 2.78021536015277237475e-01, 116 9.64801495637480077683e-01, 2.62979227346346711158e-01, 117 9.68792607644664016675e-01, 2.47872716072285947941e-01, 118 9.72547202831614887586e-01, 2.32705690227810568782e-01, 119 9.76064364566613607010e-01, 2.17481852629530458820e-01, 120 9.79343234187565414572e-01, 2.02204919947659544910e-01, 121 9.82383011202836109454e-01, 1.86878621837941599759e-01, 122 9.85182953494231017366e-01, 1.71506699998524386741e-01, 123 9.87742377497998091940e-01, 1.56092907252707135957e-01, 124 9.90060658366647028394e-01, 1.40641006660935985462e-01, 125 9.92137230124395808062e-01, 1.25154770588626285122e-01, 126 9.93971585806359803072e-01, 1.09637979777038541140e-01, 127 9.95563277581850036846e-01, 9.40944224196323536491e-02, 128 9.96911916861350277941e-01, 7.85278932598362233719e-02, 129 9.98017174394052908326e-01, 6.29421926414276133865e-02, 130 9.98878780347215333713e-01, 4.73411255892753485286e-02, 131 9.99496524372108563483e-01, 3.17285008797294557081e-02, 132 9.99870255655346151791e-01, 1.61081301122361006395e-02, 133 9.99999882955821872699e-01, 4.83826769160181427432e-04, 134 9.99885374626887313276e-01, -1.51405946795101862407e-02, 135 9.99526758624139421983e-01, -3.07613197753498594789e-02, 136 9.98924122498464628350e-01, -4.63745349375326090802e-02, 137 9.98077613374894423437e-01, -6.19764284214149308028e-02, 138 9.96987437916807328619e-01, -7.75631912448182664344e-02, 139 9.95653862273598311283e-01, -9.31310181393209396417e-02, 140 9.94077212020575529117e-01, -1.08676108420387079745e-01, 141 9.92257872072439317535e-01, -1.24194666996109981394e-01, 142 9.90196286596708996619e-01, -1.39682905217811598186e-01, 143 9.87892958898728967831e-01, -1.55137041864005509328e-01, 144 9.85348451302295424981e-01, -1.70553304031812708041e-01, 145 9.82563385014030843401e-01, -1.85927928052160545969e-01, 146 9.79538439968065888230e-01, -2.01257160431443482551e-01, 147 9.76274354660002341433e-01, -2.16537258764389006771e-01, 148 9.72771925969731610095e-01, -2.31764492632368090952e-01, 149 9.69032008956924317822e-01, -2.46935144556029828600e-01, 150 9.65055516693764658953e-01, -2.62045510739892129060e-01, 151 9.60843419958733790942e-01, -2.77091902303196746526e-01, 152 9.56396747083171572257e-01, -2.92070645852553878452e-01, 153 9.51716583658057113659e-01, -3.06978084543891138747e-01, 154 9.46804072278775166183e-01, -3.21810578937871294425e-01, 155 9.41660412264228252610e-01, -3.36564507894643705210e-01, 156 9.36286859366077139910e-01, -3.51236269451786098372e-01, 157 9.30684725460523609719e-01, -3.65822281708577445869e-01, 158 9.24855378224429758305e-01, -3.80318983708869018390e-01, 159 9.18800240811794344253e-01, -3.94722836284130795814e-01, 160 9.12520791499566663596e-01, -4.09030322935848345001e-01, 161 9.06018563323250702979e-01, -4.23237950701107090712e-01, 162 8.99295143708603639254e-01, -4.37342250991282488481e-01, 163 8.92352174084417359978e-01, -4.51339780439098559039e-01, 164 8.85191349474114597129e-01, -4.65227121754735961634e-01, 165 8.77814418087698666859e-01, -4.79000884547570504601e-01, 166 8.70223180902864101860e-01, -4.92657706140177065190e-01, 167 8.62419491209962973954e-01, -5.06194252418129098103e-01, 168 8.54405254167239447405e-01, -5.19607218629047684644e-01, 169 8.46182426332270809510e-01, -5.32893330195106762481e-01, 170 8.37753015193838712626e-01, -5.46049343497116423940e-01, 171 8.29119078677651999421e-01, -5.59072046674417011403e-01, 172 8.20282724626069215113e-01, -5.71958260435175724901e-01, 173 8.11246110312714763246e-01, -5.84704838788333125521e-01, 174 8.02011441899084687179e-01, -5.97308669837422590021e-01, 175 7.92580973890125495274e-01, -6.09766676547169317324e-01, 176 7.82957008603788473522e-01, -6.22075817467780289860e-01, 177 7.73141895594474215514e-01, -6.34233087497477643346e-01, 178 7.63138031079152456826e-01, -6.46235518615801973752e-01, 179 7.52947857359473227135e-01, -6.58080180599429964694e-01, 180 7.42573862219235825144e-01, -6.69764181745192588302e-01, 181 7.32018578314804879703e-01, -6.81284669577975954269e-01, 182 7.21284582577006005977e-01, -6.92638831525286491342e-01, 183 7.10374495555637031075e-01, -7.03823895633044149811e-01, 184 6.99290980797484418297e-01, -7.14837131223114541356e-01, 185 6.88036744157449198234e-01, -7.25675849597612554476e-01, 186 6.76614533221899572268e-01, -7.36337404613476742554e-01, 187 6.65027136549188546688e-01, -7.46819193415104276568e-01, 188 6.53277383052505156158e-01, -7.57118657009633100330e-01, 189 6.41368141233487065733e-01, -7.67233280958732777322e-01, 190 6.29302318589868403542e-01, -7.77160595898567008177e-01, 191 6.17082860810903133242e-01, -7.86898178224750721732e-01, 192 6.04712751105658807838e-01, -7.96443650643424705393e-01, 193 5.92195009450509846083e-01, -8.05794682770934245220e-01, 194 5.79532691867931770702e-01, -8.14948991689853463605e-01, 195 5.66728889706594629594e-01, -8.23904342488817387213e-01, 196 5.53786728799491090314e-01, -8.32658548869558479133e-01, 197 5.40709368819720759269e-01, -8.41209473597735457595e-01, 198 5.27500002380493770993e-01, -8.49555029111463189118e-01, 199 5.14161854409658891640e-01, -8.57693177931374672873e-01, 200 5.00698181184736190730e-01, -8.65621933270118271153e-01, 201 4.87112269682015319727e-01, -8.73339359427499739574e-01, 202 4.73407436683839610847e-01, -8.80843572317148937323e-01, 203 4.59587028080454429446e-01, -8.88132739865035936155e-01, 204 4.45654417892204612883e-01, -8.95205082544307417791e-01, 205 4.31613007576607476956e-01, -9.02058873738668665077e-01, 206 4.17466225094956511210e-01, -9.08692440215591923369e-01, 207 4.03217524247773739798e-01, -9.15104162453376668296e-01, 208 3.88870383625079307777e-01, -9.21292475134407928827e-01, 209 3.74428305866518040812e-01, -9.27255867474522488259e-01, 210 3.59894816812003803808e-01, -9.32992883591217014860e-01, 211 3.45273464602750546071e-01, -9.38502122875176647554e-01, 212 3.30567818825136694461e-01, -9.43782240327286303661e-01, 213 3.15781469657649860316e-01, -9.48831946880402399280e-01, 214 3.00918026974915431282e-01, -9.53650009721346392233e-01, 215 2.85981119468962208252e-01, -9.58235252590552089025e-01, 216 2.70974393771316324209e-01, -9.62586556066657106356e-01, 217 2.55901513568614069616e-01, -9.66702857838587559236e-01, 218 2.40766158683884484715e-01, -9.70583152971761897732e-01, 219 2.25572024178931879179e-01, -9.74226494152062860721e-01, 220 2.10322819513115238932e-01, -9.77631991902911057224e-01, 221 1.95022267545207572681e-01, -9.80798814824694553671e-01, 222 1.79674103687683967001e-01, -9.83726189782516358129e-01, 223 1.64282074965636487596e-01, -9.86413402101261493904e-01, 224 1.48849939140241666058e-01, -9.88859795733422641817e-01, 225 1.33381463740289751829e-01, -9.91064773428305123559e-01, 226 1.17880425165185737102e-01, -9.93027796873216961338e-01, 227 1.02350607771443738447e-01, -9.94748386823932517764e-01, 228 8.67958029390951818494e-02, -9.96226123223115322958e-01, 229 7.12198081674702832000e-02, -9.97460645301151083153e-01, 230 5.56264261071372570489e-02, -9.98451651667994988237e-01, 231 4.00194636390110436430e-02, -9.99198900384726140800e-01, 232 2.44027309972172715136e-02, -9.99702209020204901613e-01, 233 8.78004077991816241078e-03, -9.99961454699081375708e-01, 234 -6.84479296391702837776e-03, -9.99976574130254869388e-01, 235 -2.24679556394218951643e-02, -9.99747563622630175395e-01, 236 -3.80856331006515710924e-02, -9.99274479085362488107e-01, 237 -5.36940124898220294547e-02, -9.98557436015947375019e-01, 238 -6.92892832575160572128e-02, -9.97596609469809547655e-01, 239 -8.48676380386628043118e-02, -9.96392234019183087312e-01, 240 -1.00425273601341916163e-01, -9.94944603695148255262e-01, 241 -1.15958391781735684067e-01, -9.93254071914831615508e-01, 242 -1.31463200384306394541e-01, -9.91321051397939245753e-01, 243 -1.46935914119801724897e-01, -9.89146014065556578032e-01, 244 -1.62372755568482129984e-01, -9.86729490918913376696e-01, 245 -1.77769956039573850948e-01, -9.84072071918356994225e-01, 246 -1.93123756521520834051e-01, -9.81174405835688490107e-01, 247 -2.08430408606563005725e-01, -9.78037200094199477007e-01, 248 -2.23686175400125447643e-01, -9.74661220596605204491e-01, 249 -2.38887332428331961021e-01, -9.71047291539024692852e-01, 250 -2.54030168529570332669e-01, -9.67196295214595047618e-01, 251 -2.69110986809851404633e-01, 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9.23747431723077494503e-01, 3.83002196318791732210e-01, 511 9.29618837697029576361e-01, 3.68522477738907783262e-01, 512 9.35263290560562010612e-01, 3.53952789690701208336e-01, 513 9.40679412304837647696e-01, 3.39296689146571628370e-01, 514 9.45865880661811875285e-01, 3.24557754182295044032e-01, 515 9.50821429431150111355e-01, 3.09739583092804637854e-01, 516 9.55544848784945832776e-01, 2.94845793526980815003e-01, 517 9.60034985637467253028e-01, 2.79880021352128749434e-01, 518 9.64290743580318188144e-01, 2.64845920952762714506e-01, 519 9.68311083831862262628e-01, 2.49747162002622591359e-01, 520 9.72095024823529496594e-01, 2.34587430851146777622e-01, 521 9.75641642748477533331e-01, 2.19370428579268944569e-01, 522 9.78950071770562035844e-01, 2.04099870113656461923e-01, 523 9.82019504170923540620e-01, 1.88779483598969205493e-01, 524 9.84849190595408208182e-01, 1.73413009268535894813e-01, 525 9.87438440210647860873e-01, 1.58004198660550820854e-01, 526 9.89786620894844482166e-01, 1.42556813578185059832e-01, 527 9.91893159367450705233e-01, 1.27074625319365142051e-01, 528 9.93757541353338824663e-01, 1.11561413595234956708e-01, 529 9.95379311685924861308e-01, 9.60209657713066710993e-02, 530 9.96758074438687136087e-01, 8.04570757688883031467e-02, 531 9.97893492999770703733e-01, 6.48735433648924275651e-02, 532 9.98785290176304019205e-01, 4.92741730264058125366e-02, 533 9.99433248251151762354e-01, 3.36627730609296640929e-02, 534 9.99837209032161888800e-01, 1.80431547900308138221e-02, 535 9.99997073896832011641e-01, 2.41913161566219324719e-03, 536 9.99912803818512774257e-01, -1.32054821873487954892e-02, 537 9.99584419370001642235e-01, -2.88268720595330242562e-02, 538 9.99012000721555049054e-01, -4.44412242666163900817e-02, 539 9.98195687620527460915e-01, -6.00447267941353959864e-02, 540 9.97135679355775073063e-01, -7.56335702958476074897e-02, 541 9.95832234722008102779e-01, -9.12039488650100010902e-02, 542 9.94285671925894676271e-01, -1.06752061351864019345e-01, 543 9.92496368545773943737e-01, -1.22274111828511194977e-01, 544 9.90464761404806215417e-01, -1.37766310886661608182e-01 545 }; 546 547 const double _TBL_sincosx[] = { 548 1.64062500000167837966e-01, 1.79687499999472477530e-01, 549 1.95312499999996669331e-01, 2.10937500000106192832e-01, 550 2.26562499999874683576e-01, 2.42187499999999750200e-01, 551 2.57812499999549193941e-01, 2.73437500000180466753e-01, 552 2.89062500000347444296e-01, 3.04687500000159650071e-01, 553 3.20312500001052657961e-01, 3.35937499999853450561e-01, 554 3.51562499998759436792e-01, 3.67187499998127386824e-01, 555 3.82812499999808708573e-01, 3.98437499999694078046e-01, 556 4.14062499999775512904e-01, 4.29687499999869215728e-01, 557 4.45312499999981514787e-01, 4.60937499992721433362e-01, 558 4.76562499999932387418e-01, 4.92187500000263733479e-01, 559 5.07812500002462252624e-01, 5.23437499998664290679e-01, 560 5.39062500000133337785e-01, 5.54687499999937494444e-01, 561 5.70312499999814259688e-01, 5.85937500002074562744e-01, 562 6.01562499999652833260e-01, 6.17187499999419131314e-01, 563 6.32812500000347721851e-01, 6.48437500005533351555e-01, 564 6.64062499997531863194e-01, 6.79687499999813815599e-01, 565 6.95312500005013212068e-01, 7.10937499999876987289e-01, 566 7.26562500001548428052e-01, 7.42187500000339617223e-01, 567 7.57812499998633315457e-01, 7.73437500000337285755e-01, 568 7.89062499996497468402e-01, 8.04687500000179967152e-01, 569 8.20312500001350475287e-01, 8.35937499996779354028e-01, 570 8.51562500000668243239e-01, 8.67187499999485522650e-01, 571 8.82812500000538014078e-01, 8.98437500000525690602e-01, 572 9.14062500000757727214e-01, 9.29687500002357114504e-01, 573 9.45312499999430455588e-01, 9.60937500000796696042e-01, 574 9.76562500001389000026e-01, 9.92187499998313238159e-01, 575 1.00781250000027000624e+00, 1.02343750000073119288e+00, 576 1.03906249999567279474e+00, 1.05468750000121480603e+00, 577 1.07031249999813948826e+00, 1.08593749999936250994e+00, 578 1.10156249999885291757e+00, 1.11718750000074029671e+00, 579 1.13281249999926680871e+00, 1.14843749999650057703e+00, 580 1.16406249999956079577e+00, 1.17968749999995736744e+00, 581 1.19531250000235189646e+00, 1.21093750000001554312e+00, 582 1.22656249999714606069e+00, 1.24218750000679789558e+00, 583 1.25781249999789324079e+00, 1.27343750000030864200e+00, 584 1.28906250000041366910e+00, 1.30468750000013344881e+00, 585 1.32031249999823008245e+00, 1.33593749999817146268e+00, 586 1.35156249999504352033e+00, 1.36718750000051336713e+00, 587 1.38281250000255573340e+00, 1.39843749999889488400e+00, 588 1.41406250000066702199e+00, 1.42968750000377853304e+00, 589 1.44531250000268074452e+00, 1.46093749999857935862e+00, 590 1.47656250000000177636e+00, 1.49218750000007549517e+00, 591 1.50781249999986965982e+00, 1.52343749999979238829e+00, 592 1.53906250000026356695e+00, 1.55468750000024247271e+00, 593 1.57031250000686006807e+00, 1.58593749999970379250e+00, 594 1.60156249999876076906e+00, 1.61718749999920530236e+00, 595 1.63281249999894950697e+00, 1.64843749999433342168e+00, 596 1.66406250000158717484e+00, 1.67968749999775224246e+00, 597 1.69531250000185917948e+00, 1.71093749999863442568e+00, 598 1.72656249999789279670e+00, 1.74218750000263478128e+00, 599 1.75781250000296740410e+00, 1.77343749999920641258e+00, 600 1.78906249999844191301e+00, 1.80468749999888578017e+00, 601 1.82031250003296385387e+00, 1.83593749999912847493e+00, 602 1.85156249999896371783e+00, 1.86718749999873900869e+00, 603 1.88281249999986122212e+00, 1.89843750000025601743e+00, 604 1.91406250000089750429e+00, 1.92968749999936717288e+00, 605 1.94531249999502553472e+00, 1.96093749999814637164e+00, 606 1.97656250000163713487e+00, 1.99218750000058819616e+00, 607 2.00781250000015099033e+00, 2.02343750000025890401e+00, 608 2.03906249999571986820e+00, 2.05468749999347455315e+00, 609 2.07031249999880184731e+00, 2.08593749999950617280e+00, 610 2.10156249999859534583e+00, 2.11718749999749178414e+00, 611 2.13281250000269562150e+00, 2.14843750000770983277e+00, 612 2.16406250000204325445e+00, 2.17968750000288169488e+00, 613 2.19531250000207567297e+00, 2.21093749999685940111e+00, 614 2.22656249999882449586e+00, 2.24218750000040500936e+00, 615 2.25781249999956967756e+00, 2.27343749999970867748e+00, 616 2.28906249999833111275e+00, 2.30468749999696020936e+00, 617 2.32031250000405675493e+00, 2.33593750000527755617e+00, 618 2.35156250000277511347e+00, 2.36718749998901101250e+00, 619 2.38281250000068833828e+00, 2.39843750000151390012e+00, 620 2.41406250000618571860e+00, 2.42968749999278221807e+00, 621 2.44531250000394617672e+00, 2.46093750000379341003e+00, 622 2.47656250000329514194e+00, 2.49218749999781508109e+00, 623 2.50781249999807354101e+00, 2.52343750000954214485e+00, 624 2.53906250000098099306e+00, 2.55468750001107025582e+00, 625 2.57031250000341415785e+00, 2.58593750002171240965e+00, 626 2.60156250000635891340e+00, 2.61718750000451771953e+00, 627 2.63281250000028421709e+00, 2.64843750001994493459e+00, 628 2.66406250000455235849e+00, 2.67968749999316235844e+00, 629 2.69531249997396704643e+00, 2.71093749999957500663e+00, 630 2.72656249999638511383e+00, 2.74218749999314947985e+00, 631 2.75781249999954258811e+00, 2.77343750000063726802e+00, 632 2.78906249999834177089e+00, 2.80468750000019895197e+00, 633 2.82031249999983835153e+00, 2.83593749999777511306e+00, 634 2.85156249999855315735e+00, 2.86718750000235678144e+00, 635 2.88281249999902611236e+00, 2.89843749999328359479e+00, 636 2.91406250000365130148e+00, 2.92968749999994892974e+00, 637 2.94531249999847322130e+00, 2.96093749999701350006e+00, 638 2.97656250000468292072e+00, 2.99218750000308997272e+00, 639 3.00781249999819877416e+00, 3.02343749999709299203e+00, 640 3.03906249999948618878e+00, 3.05468750000752597984e+00, 641 3.07031250000433075797e+00, 3.08593749999511279825e+00, 642 3.10156249999957589480e+00, 3.11718749999961186603e+00, 643 3.13281249999836441944e+00, 3.14843750000262057043e+00, 644 3.16406249999657873673e+00, 3.17968750000540190115e+00, 645 3.19531250000325739435e+00, 3.21093750000270583556e+00, 646 3.22656250000035882408e+00, 3.24218749999618305324e+00, 647 3.25781250000001199041e+00, 3.27343750000431255032e+00, 648 3.28906249999634914261e+00, 3.30468749999773381276e+00, 649 3.32031250000108801856e+00, 3.33593750000042854609e+00, 650 3.35156249999819699781e+00, 3.36718749999951061369e+00, 651 3.38281250000727817806e+00, 3.39843750000385558252e+00, 652 3.41406250000184297022e+00, 3.42968750000183808524e+00, 653 3.44531249999830135877e+00, 3.46093749998354383024e+00, 654 3.47656249999984101606e+00, 3.49218750000081934459e+00, 655 3.50781249999577759979e+00, 3.52343749999866640010e+00, 656 3.53906249999683852892e+00, 3.55468750000498978636e+00, 657 3.57031249999826005848e+00, 3.58593750001092637092e+00, 658 3.60156250000782085507e+00, 3.61718749999987299049e+00, 659 3.63281250000544186918e+00, 3.64843749999226352188e+00, 660 3.66406250000062438943e+00, 3.67968749999757616109e+00, 661 3.69531250001872235700e+00, 3.71093750000574784664e+00, 662 3.72656249999563016218e+00, 3.74218749999581179466e+00, 663 3.75781250000033528735e+00, 3.77343749999415045693e+00, 664 3.78906249995283994636e+00, 3.80468750000592104143e+00, 665 3.82031249998920063859e+00, 3.83593750000164934733e+00, 666 3.85156250000057731597e+00, 3.86718750000405053768e+00, 667 3.88281249997192157153e+00, 3.89843749998371702503e+00, 668 3.91406249999986277643e+00, 3.92968749999597033451e+00, 669 3.94531249999519229021e+00, 3.96093749997563104870e+00, 670 3.97656250000223510099e+00, 3.99218750000022870594e+00, 671 4.00781250004454392410e+00, 4.02343749999355093649e+00, 672 4.03906249999698196973e+00, 4.05468749999250022142e+00, 673 4.07031249994990851349e+00, 4.08593749999590372113e+00, 674 4.10156249999066258027e+00, 4.11718749999303490483e+00, 675 4.13281249999853184107e+00, 4.14843749998088373587e+00, 676 4.16406249999834177089e+00, 4.17968749999662758654e+00, 677 4.19531249999891109326e+00, 4.21093749999872102308e+00, 678 4.22656249999120881000e+00, 4.24218750000338129524e+00, 679 4.25781250000494537744e+00, 4.27343749997698019172e+00, 680 4.28906250000330668826e+00, 4.30468749999959232611e+00, 681 4.32031250000562039304e+00, 4.33593749999550670537e+00, 682 4.35156250000948219281e+00, 4.36718750000763922259e+00, 683 4.38281249999987476684e+00, 4.39843750000314237525e+00, 684 4.41406250000408473255e+00, 4.42968750000079314333e+00, 685 4.44531249998868371875e+00, 4.46093750000322319949e+00, 686 4.47656249999480770896e+00, 4.49218749997964028609e+00, 687 4.50781250000320810045e+00, 4.52343749999724753508e+00, 688 4.53906249999181721222e+00, 4.55468750000258193467e+00, 689 4.57031249999976196818e+00, 4.58593750000821920310e+00, 690 4.60156250004601385939e+00, 4.61718750000444977388e+00, 691 4.63281249999695177166e+00, 4.64843749999638600201e+00, 692 4.66406250000544897460e+00, 4.67968749999663469197e+00, 693 4.69531249998381028377e+00, 4.71093749999796340688e+00, 694 4.72656250000119992905e+00, 4.74218750001258992910e+00, 695 4.75781250000492050845e+00, 4.77343750000340971695e+00, 696 4.78906250000747402140e+00, 4.80468749998990762862e+00, 697 4.82031250001256594828e+00, 4.83593750000031530334e+00, 698 4.85156250000026023628e+00, 4.86718750000094679820e+00, 699 4.88281250000185362836e+00, 4.89843749997600141910e+00, 700 4.91406249999471889112e+00, 4.92968749998860822359e+00, 701 4.94531250000475353090e+00, 4.96093749999659205940e+00, 702 4.97656250000856825721e+00, 4.99218750002637179364e+00, 703 5.00781249999760014191e+00, 5.02343749998691091463e+00, 704 5.03906249999699618058e+00, 5.05468750000537525580e+00, 705 5.07031250000353406193e+00, 5.08593749999286881547e+00, 706 5.10156249998831601289e+00, 5.11718750000479172257e+00, 707 5.13281250001085087575e+00, 5.14843750000346744855e+00, 708 5.16406250000581845683e+00, 5.17968750000350119933e+00, 709 5.19531249999482636071e+00, 5.21093750000432454073e+00, 710 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