diff --git a/include/universal/number/dd/math/cos_table.hpp b/include/universal/number/dd/math/cos_table.hpp deleted file mode 100644 index 27906579..00000000 --- a/include/universal/number/dd/math/cos_table.hpp +++ /dev/null @@ -1,274 +0,0 @@ -#pragma once -// trigonometry.hpp: trigonometry function support for quad-double (qd) floating-point -// -// algorithms and constants courtesy of Scibuilders, Jack Poulson -// -// Copyright (C) 2017 Stillwater Supercomputing, Inc. -// SPDX-License-Identifier: MIT -// -// This file is part of the universal numbers project, which is released under an MIT Open Source license. - -namespace sw { - namespace universal { - - // table of cos(k * pi/1024) - constexpr qd cos_table [] = { - qd( 9.9999529380957619e-01, -1.9668064285322189e-17, -6.3053955095883481e-34, +5.3266110855726731e-52), - qd( 9.9998117528260111e-01, +3.3568103522895585e-17, -1.4740132559368063e-35, +9.8603097594755596e-52), - qd( 9.9995764455196390e-01, -3.1527836866647287e-17, +2.6363251186638437e-33, +1.0007504815488399e-49), - qd( 9.9992470183914450e-01, +3.7931082512668012e-17, -8.5099918660501484e-35, -4.9956973223295153e-51), - qd( 9.9988234745421256e-01, -3.5477814872408538e-17, +1.7102001035303974e-33, -1.0725388519026542e-49), - qd( 9.9983058179582340e-01, +1.8825140517551119e-17, -5.1383513457616937e-34, -3.8378827995403787e-50), - qd( 9.9976940535121528e-01, +4.2681177032289012e-17, +1.9062302359737099e-33, -6.0221153262881160e-50), - qd( 9.9969881869620425e-01, -2.9851486403799753e-17, -1.9084787370733737e-33, +5.5980260344029202e-51), - qd( 9.9961882249517864e-01, -4.1181965521424734e-17, +2.0915365593699916e-33, +8.1403390920903734e-50), - qd( 9.9952941750109314e-01, +2.0517917823755591e-17, -4.7673802585706520e-34, -2.9443604198656772e-50), - qd( 9.9943060455546173e-01, +3.9644497752257798e-17, -2.3757223716722428e-34, -1.2856759011361726e-51), - qd( 9.9932238458834954e-01, -4.2858538440845682e-17, +3.3235101605146565e-34, -8.3554272377057543e-51), - qd( 9.9920475861836389e-01, +9.1796317110385693e-18, +5.5416208185868570e-34, +8.0267046717615311e-52), - qd( 9.9907772775264536e-01, +2.1419007653587032e-17, -7.9048203318529618e-34, -5.3166296181112712e-50), - qd( 9.9894129318685687e-01, -2.0610641910058638e-17, -1.2546525485913485e-33, -7.5175888806157064e-50), - qd( 9.9879545620517241e-01, -1.2291693337075465e-17, +2.4468446786491271e-34, +1.0723891085210268e-50), - qd( 9.9864021818026527e-01, -4.8690254312923302e-17, -2.9470881967909147e-34, -1.3000650761346907e-50), - qd( 9.9847558057329477e-01, -2.2002931182778795e-17, -1.2371509454944992e-33, -2.4911225131232065e-50), - qd( 9.9830154493389289e-01, -5.1869402702792278e-17, +1.0480195493633452e-33, -2.8995649143155511e-50), - qd( 9.9811811290014918e-01, +2.7935487558113833e-17, +2.4423341255830345e-33, -6.7646699175334417e-50), - qd( 9.9792528619859600e-01, +1.7143659778886362e-17, +5.7885840902887460e-34, -9.2601432603894597e-51), - qd( 9.9772306664419164e-01, -2.6394475274898721e-17, -1.6176223087661783e-34, -9.9924942889362281e-51), - qd( 9.9751145614030345e-01, +5.6007205919806937e-18, -5.9477673514685690e-35, -1.4166807162743627e-54), - qd( 9.9729045667869021e-01, +9.1647695371101735e-18, +6.7824134309739296e-34, -8.6191392795543357e-52), - qd( 9.9706007033948296e-01, +1.6734093546241963e-17, -1.3169951440780028e-33, +1.0311048767952477e-50), - qd( 9.9682029929116567e-01, +4.7062820708615655e-17, +2.8412041076474937e-33, -8.0006155670263622e-50), - qd( 9.9657114579055484e-01, +1.1707179088390986e-17, -7.5934413263024663e-34, +2.8474848436926008e-50), - qd( 9.9631261218277800e-01, +1.1336497891624735e-17, +3.4002458674414360e-34, +7.7419075921544901e-52), - qd( 9.9604470090125197e-01, +2.2870031707670695e-17, -3.9184839405013148e-34, -3.7081260416246375e-50), - qd( 9.9576741446765982e-01, -2.3151908323094359e-17, -1.6306512931944591e-34, -1.5925420783863192e-51), - qd( 9.9548075549192694e-01, +3.2084621412226554e-18, -4.9501292146013023e-36, -2.7811428850878516e-52), - qd( 9.9518472667219693e-01, -4.2486913678304410e-17, +1.3315510772504614e-33, +6.7927987417051888e-50), - qd( 9.9487933079480562e-01, +4.2130813284943662e-18, -4.2062597488288452e-35, +2.5157064556087620e-51), - qd( 9.9456457073425542e-01, +3.6745069641528058e-17, -3.0603304105471010e-33, +1.0397872280487526e-49), - qd( 9.9424044945318790e-01, +4.4129423472462673e-17, -3.0107231708238066e-33, +7.4201582906861892e-50), - qd( 9.9390697000235606e-01, -1.8964849471123746e-17, -1.5980853777937752e-35, -8.5374807150597082e-52), - qd( 9.9356413552059530e-01, +2.9752309927797428e-17, -4.5066707331134233e-34, -3.3548191633805036e-50), - qd( 9.9321194923479450e-01, +3.3096906261272262e-17, +1.5592811973249567e-33, +1.4373977733253592e-50), - qd( 9.9285041445986510e-01, -1.4094517733693302e-17, -1.1954558131616916e-33, +1.8761873742867983e-50), - qd( 9.9247953459870997e-01, +3.1093055095428906e-17, -1.8379594757818019e-33, -3.9885758559381314e-51), - qd( 9.9209931314219180e-01, -3.9431926149588778e-17, -6.2758062911047230e-34, -1.2960929559212390e-50), - qd( 9.9170975366909953e-01, -2.3372891311883661e-18, +2.7073298824968591e-35, -1.2569459441802872e-51), - qd( 9.9131085984611544e-01, -2.5192111583372105e-17, -1.2852471567380887e-33, +5.2385212584310483e-50), - qd( 9.9090263542778001e-01, +1.5394565094566704e-17, -1.0799984133184567e-33, +2.7451115960133595e-51), - qd( 9.9048508425645709e-01, -5.5411437553780867e-17, -1.4614017210753585e-33, -3.8339374397387620e-50), - qd( 9.9005821026229712e-01, -1.7055485906233963e-17, +1.3454939685758777e-33, +7.3117589137300036e-50), - qd( 9.8962201746320089e-01, -5.2398217968132530e-17, +1.3463189211456219e-33, +5.8021640554894872e-50), - qd( 9.8917650996478101e-01, -4.0987309937047111e-17, -4.4857560552048437e-34, -3.9414504502871125e-50), - qd( 9.8872169196032378e-01, -1.0976227206656125e-17, +3.2311342577653764e-34, +9.6367946583575041e-51), - qd( 9.8825756773074946e-01, +2.7030607784372632e-17, +7.7514866488601377e-35, +2.1019644956864938e-51), - qd( 9.8778414164457218e-01, -2.3600693397159021e-17, -1.2323283769707861e-33, +3.0130900716803339e-50), - qd( 9.8730141815785843e-01, -5.2332261255715652e-17, -2.7937644333152473e-33, +1.2074160567958408e-49), - qd( 9.8680940181418553e-01, -5.0287214351061075e-17, -2.2681526238144461e-33, +4.4003694320169133e-50), - qd( 9.8630809724459867e-01, -2.1520877103013341e-17, +1.1866528054187716e-33, -7.8532199199813836e-50), - qd( 9.8579750916756748e-01, -5.1439452979953012e-17, +2.6276439309996725e-33, +7.5423552783286347e-50), - qd( 9.8527764238894122e-01, +2.3155637027900207e-17, -7.5275971545764833e-34, +1.0582231660456094e-50), - qd( 9.8474850180190421e-01, +1.0548144061829957e-17, +2.8786145266267306e-34, -3.6782210081466112e-51), - qd( 9.8421009238692903e-01, +4.7983922627050691e-17, +2.2597419645070588e-34, +1.7573875814863400e-50), - qd( 9.8366241921173025e-01, +1.9864948201635255e-17, -1.0743046281211033e-35, +1.7975662796558100e-52), - qd( 9.8310548743121629e-01, +4.2170007522888628e-17, +8.2396265656440904e-34, -8.0803700139096561e-50), - qd( 9.8253930228744124e-01, +1.5149580813777224e-17, -4.1802771422186237e-34, -2.2150174326226160e-50), - qd( 9.8196386910955524e-01, +2.1108443711513084e-17, -1.5253013442896054e-33, -6.8388082079337969e-50), - qd( 9.8137919331375456e-01, +1.3428163260355633e-17, -6.5294290469962986e-34, +2.7965412287456268e-51), - qd( 9.8078528040323043e-01, +1.8546939997825006e-17, -1.0696564445530757e-33, +6.6668174475264961e-50), - qd( 9.8018213596811743e-01, -3.6801786963856159e-17, +6.3245171387992842e-34, +1.8600176137175971e-50), - qd( 9.7956976568544052e-01, +1.5573991584990420e-17, -1.3401066029782990e-33, -1.7263702199862149e-50), - qd( 9.7894817531906220e-01, -2.3817727961148053e-18, -1.0694750370381661e-34, -8.2293047196087462e-51), - qd( 9.7831737071962765e-01, -2.1623082233344895e-17, +1.0970403012028032e-33, +7.7091923099369339e-50), - qd( 9.7767735782450993e-01, +5.0514136167059628e-17, -1.3254751701428788e-33, +7.0161254312124538e-50), - qd( 9.7702814265775439e-01, -4.3353875751555997e-17, +5.4948839831535478e-34, -9.2755263105377306e-51), - qd( 9.7636973133002114e-01, +9.3093931526213780e-18, -4.1184949155685665e-34, -3.1913926031393690e-50), - qd( 9.7570213003852857e-01, -2.5572556081259686e-17, -9.3174244508942223e-34, -8.3675863211646863e-51), - qd( 9.7502534506699412e-01, +2.6642660651899135e-17, +1.7819392739353853e-34, -3.3159625385648947e-51), - qd( 9.7433938278557586e-01, +2.3041221476151512e-18, +1.0758686005031430e-34, +5.1074116432809478e-51), - qd( 9.7364424965081198e-01, -5.1729808691005871e-17, -1.5508473005989887e-33, -1.6505125917675401e-49), - qd( 9.7293995220556018e-01, -3.1311211122281800e-17, -2.6874087789006141e-33, -2.1652434818822145e-51), - qd( 9.7222649707893627e-01, +3.6461169785938221e-17, +3.0309636883883133e-33, -1.2702716907967306e-51), - qd( 9.7150389098625178e-01, -7.9865421122289046e-18, -4.3628417211263380e-34, +3.4307517798759352e-51), - qd( 9.7077214072895035e-01, -4.7992163325114922e-17, +3.0347528910975783e-33, +8.5989199506479701e-50), - qd( 9.7003125319454397e-01, +1.8365300348428844e-17, -1.4311097571944918e-33, +8.5846781998740697e-51), - qd( 9.6928123535654853e-01, -4.5663660261927896e-17, +9.6147526917239387e-34, +8.1267605207871330e-51), - qd( 9.6852209427441727e-01, +4.9475074918244771e-17, +2.8558738351911241e-33, +6.2948422316507461e-50), - qd( 9.6775383709347551e-01, -4.5512132825515820e-17, -1.4127617988719093e-33, -8.4620609089704578e-50), - qd( 9.6697647104485207e-01, +3.8496228837337864e-17, -5.3881631542745647e-34, -3.5221863171458959e-50), - qd( 9.6619000344541250e-01, +5.1298840401665493e-17, +1.4564075904769808e-34, +1.0095973971377432e-50), - qd( 9.6539444169768940e-01, -2.3745389918392156e-17, +5.9221515590053862e-34, -3.8811192556231094e-50), - qd( 9.6458979328981276e-01, -3.4189470735959786e-17, +2.2982074155463522e-33, -4.5128791045607634e-50), - qd( 9.6377606579543984e-01, +2.6463950561220029e-17, -2.9073234590199323e-36, -1.2938328629395601e-52), - qd( 9.6295326687368388e-01, +8.9341960404313634e-18, -3.9071244661020126e-34, +1.6212091116847394e-50), - qd( 9.6212140426904158e-01, +1.5236770453846305e-17, -1.3050173525597142e-33, +7.9016122394092666e-50), - qd( 9.6128048581132064e-01, +2.0933955216674039e-18, +1.0768607469015692e-34, -5.9453639304361774e-51), - qd( 9.6043051941556579e-01, +2.4653904815317185e-17, -1.3792169410906322e-33, -4.7726598378506903e-51), - qd( 9.5957151308198452e-01, +1.1000640085000957e-17, -4.2036030828223975e-34, +4.0023704842606573e-51), - qd( 9.5870347489587160e-01, -4.3685014392372053e-17, +2.2001800662729131e-33, -1.0553721324358075e-49), - qd( 9.5782641302753291e-01, -1.7696710075371263e-17, +1.9164034110382190e-34, +8.1489235071754813e-51), - qd( 9.5694033573220882e-01, +4.0553869861875701e-17, -1.7147013364302149e-33, +2.5736745295329455e-50), - qd( 9.5604525134999641e-01, +3.7705045279589067e-17, +1.9678699997347571e-33, +8.5093177731230180e-50), - qd( 9.5514116830577067e-01, +5.0088652955014668e-17, -2.6983181838059211e-33, +1.0102323575596493e-49), - qd( 9.5422809510910567e-01, -3.7545901690626874e-17, +1.4951619241257764e-33, -8.2717333151394973e-50), - qd( 9.5330604035419386e-01, -2.5190738779919934e-17, -1.4272239821134379e-33, -4.6717286809283155e-50), - qd( 9.5237501271976588e-01, -2.0269300462299272e-17, -1.0635956887246246e-33, -3.5514537666487619e-50), - qd( 9.5143502096900834e-01, +3.1350584123266695e-17, -2.4824833452737813e-33, +9.5450335525380613e-51), - qd( 9.5048607394948170e-01, +1.9410097562630436e-17, -8.1559393949816789e-34, -1.0501209720164562e-50), - qd( 9.4952818059303667e-01, -7.5544151928043298e-18, -5.1260245024046686e-34, +1.8093643389040406e-50), - qd( 9.4856134991573027e-01, +2.0668262262333232e-17, -5.9440730243667306e-34, +1.4268853111554300e-50), - qd( 9.4758559101774109e-01, +4.3417993852125991e-17, -2.7728667889840373e-34, +5.5709160196519968e-51), - qd( 9.4660091308328353e-01, +3.5056800210680730e-17, +9.8578536940318117e-34, +6.6035911064585197e-50), - qd( 9.4560732538052128e-01, +4.6019102478523738e-17, -6.2534384769452059e-34, +1.5758941215779961e-50), - qd( 9.4460483726148026e-01, +8.8100545476641165e-18, +5.2291695602757842e-34, -3.3487256018407123e-50), - qd( 9.4359345816196039e-01, -2.4093127844404214e-17, +1.0283279856803939e-34, -2.3398232614531355e-51), - qd( 9.4257319760144687e-01, +1.3235564806436886e-17, -5.7048262885386911e-35, +3.9947050442753744e-51), - qd( 9.4154406518302081e-01, -2.7896379547698341e-17, +1.6273236356733898e-33, -5.3075944708471203e-51), - qd( 9.4050607059326830e-01, +2.8610421567116268e-17, +2.9261501147538827e-33, -2.6849867690896925e-50), - qd( 9.3945922360218992e-01, -7.0152867943098655e-18, -5.6395693818011210e-34, +3.5568142678987651e-50), - qd( 9.3840353406310806e-01, +5.4242545044795490e-17, -1.9039966607859759e-33, -1.5627792988341215e-49), - qd( 9.3733901191257496e-01, -3.6570926284362776e-17, -1.1902940071273247e-33, -1.1215082331583223e-50), - qd( 9.3626566717027826e-01, -1.3013766145497654e-17, +5.2229870061990595e-34, -3.3972777075634108e-51), - qd( 9.3518350993894761e-01, -3.2609395302485065e-17, -8.1813015218875245e-34, +5.5642140024928139e-50), - qd( 9.3409255040425887e-01, +4.4662824360767511e-17, -2.5903243047396916e-33, +8.1505209004343043e-50), - qd( 9.3299279883473885e-01, +4.2041415555384355e-17, +9.0285896495521276e-34, +5.3019984977661259e-50), - qd( 9.3188426558166815e-01, -4.0785944377318095e-17, +1.7631450298754169e-33, +2.5776403305507453e-50), - qd( 9.3076696107898371e-01, +1.9703775102838329e-17, +6.5657908718278205e-34, -1.9480347966259524e-51), - qd( 9.2964089584318121e-01, +5.1282530016864107e-17, +2.3719739891916261e-34, -1.7230065426917127e-50), - qd( 9.2850608047321559e-01, -2.3306639848485943e-17, -7.7799084333208503e-34, -5.8597558009300305e-50), - qd( 9.2736252565040111e-01, -2.7677111692155437e-17, +2.2110293450199576e-34, +2.0349190819680613e-50), - qd( 9.2621024213831138e-01, -3.7303754586099054e-17, +2.0464457809993405e-33, +1.3831799631231817e-49), - qd( 9.2504924078267758e-01, +6.0529447412576159e-18, -8.8256517760278541e-35, +1.8285462122388328e-51), - qd( 9.2387953251128674e-01, +1.7645047084336677e-17, -5.0442537321586818e-34, -4.0478677716823890e-50), - qd( 9.2270112833387852e-01, +5.2963798918539814e-17, -5.7135699628876685e-34, +3.0163671797219087e-50), - qd( 9.2151403934204190e-01, +4.1639843390684644e-17, +1.1891485604702356e-33, +2.0862437594380324e-50), - qd( 9.2031827670911059e-01, -2.7806888779036837e-17, +2.7011013677071274e-33, +1.1998578792455499e-49), - qd( 9.1911385169005777e-01, -2.6496484622344718e-17, +6.5403604763461920e-34, -2.8997180201186078e-50), - qd( 9.1790077562139050e-01, -3.9074579680849515e-17, +2.3004636541490264e-33, +3.9851762744443107e-50), - 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qd( 7.5318679904361252e-01, -3.7937789838736540e-17, -6.7009539920231559e-34, -6.7128562115050214e-51), - qd( 7.5116513190968637e-01, +4.3499761158645868e-17, +2.5227718971102212e-33, -6.5969709212757102e-50), - qd( 7.4913639452345937e-01, -4.4729078447011889e-17, -2.4206025249983768e-33, +1.1336681351116422e-49), - qd( 7.4710060598018013e-01, +1.1874824875965430e-17, +2.1992523849833518e-34, +1.1025018564644483e-50), - qd( 7.4505778544146595e-01, +1.5078686911877863e-17, +8.0898987212942471e-34, +8.2677958765323532e-50), - qd( 7.4300795213512172e-01, -2.5144629669719265e-17, +7.1128989512526157e-34, +3.0181629077821220e-50), - qd( 7.4095112535495911e-01, -1.4708616952297345e-17, -4.9550433827142032e-34, +3.1434132533735671e-50), - qd( 7.3888732446061511e-01, +3.4324874808225091e-17, -1.3706639444717610e-33, -3.3520827530718938e-51), - qd( 7.3681656887736990e-01, -2.8932468101656295e-17, -3.4649887126202378e-34, -1.8484474476291476e-50), - qd( 7.3473887809596350e-01, -3.4507595976263941e-17, -2.3718000676666409e-33, -3.9696090387165402e-50), - qd( 7.3265427167241282e-01, +1.8918673481573520e-17, -1.5123719544119886e-33, -9.7922152011625728e-51), - qd( 7.3056276922782759e-01, -2.9689959904476928e-17, -1.1276871244239744e-33, -3.0531520961539007e-50), - qd( 7.2846439044822520e-01, +1.1924642323370718e-19, +5.9001892316611011e-36, +1.2178089069502704e-52), - qd( 7.2635915508434601e-01, -3.1917502443460542e-17, +7.7047912412039396e-34, +4.1455880160182123e-50), - qd( 7.2424708295146689e-01, +2.9198471334403004e-17, +2.3027324968739464e-33, -1.2928820533892183e-51), - qd( 7.2212819392921535e-01, -2.3871262053452047e-17, +1.0636125432862273e-33, -4.4598638837802517e-50), - qd( 7.2000250796138165e-01, -2.5689658854462333e-17, -9.1492566948567925e-34, +4.4403780801267786e-50), - qd( 7.1787004505573171e-01, +2.7006476062511453e-17, -2.2854956580215348e-34, +9.1726903890287867e-51), - qd( 7.1573082528381871e-01, -5.1581018476410262e-17, -1.3736271349300259e-34, -1.2734611344111297e-50), - qd( 7.1358486878079364e-01, -4.2342504403133584e-17, -4.2690366101617268e-34, -2.6352370883066522e-50), - qd( 7.1143219574521643e-01, +7.9643298613856813e-18, +2.9488239510721469e-34, +1.6985236437666356e-50), - qd( 7.0927282643886569e-01, -3.7597359110245730e-17, +1.0613125954645119e-34, +8.9465480185486032e-51), - qd( 7.0710678118654757e-01, -4.8336466567264567e-17, +2.0693376543497068e-33, +2.4677734957341755e-50) - }; - -} } diff --git a/include/universal/number/dd/math/sincos_tables.hpp b/include/universal/number/dd/math/sincos_tables.hpp deleted file mode 100644 index 235304ca..00000000 --- a/include/universal/number/dd/math/sincos_tables.hpp +++ /dev/null @@ -1,538 +0,0 @@ -#pragma once -// trigonometry.hpp: trigonometry function support for quad-double (qd) floating-point -// -// algorithms and constants courtesy of Scibuilders, Jack Poulson -// -// Copyright (C) 2017 Stillwater Supercomputing, Inc. -// SPDX-License-Identifier: MIT -// -// This file is part of the universal numbers project, which is released under an MIT Open Source license. - -namespace sw { - namespace universal { - - constexpr qd qd_pi1024 = - qd(3.067961575771282340e-03, 1.195944139792337116e-19, -2.924579892303066080e-36, 1.086381075061880158e-52); - - // Table of sin(k * pi/1024) - constexpr qd qd_sin_table[] = { - qd(3.0679567629659761e-03, +1.2690279085455925e-19, +5.2879464245328389e-36, -1.7820334081955298e-52), - qd(6.1358846491544753e-03, +9.0545257482474933e-20, +1.6260113133745320e-37, -9.7492001208767410e-55), - qd(9.2037547820598194e-03, -1.2136591693535934e-19, +5.5696903949425567e-36, +1.2505635791936951e-52), - qd(1.2271538285719925e-02, +6.9197907640283170e-19, -4.0203726713435555e-36, -2.0688703606952816e-52), - qd(1.5339206284988102e-02, -8.4462578865401696e-19, +4.6535897505058629e-35, -1.3923682978570467e-51), - qd(1.8406729905804820e-02, +7.4195533812833160e-19, +3.9068476486787607e-35, +3.6393321292898614e-52), - qd(2.1474080275469508e-02, -4.5407960207688566e-19, -2.2031770119723005e-35, +1.2709814654833741e-51), - qd(2.4541228522912288e-02, -9.1868490125778782e-20, +4.8706148704467061e-36, -2.8153947855469224e-52), - qd(2.7608145778965743e-02, -1.5932358831389269e-18, -7.0475416242776030e-35, -2.7518494176602744e-51), - qd(3.0674803176636626e-02, -1.6936054844107918e-20, -2.0039543064442544e-36, -1.6267505108658196e-52), - qd(3.3741171851377587e-02, -2.0096074292368340e-18, -1.3548237016537134e-34, +6.5554881875899973e-51), - qd(3.6807222941358832e-02, +6.1060088803529842e-19, -4.0448721259852727e-35, -2.1111056765671495e-51), - qd(3.9872927587739811e-02, +4.6657453481183289e-19, +3.4119333562288684e-35, +2.4007534726187511e-51), - qd(4.2938256934940820e-02, +2.8351940588660907e-18, +1.6991309601186475e-34, +6.8026536098672629e-51), - qd(4.6003182130914630e-02, -1.1182813940157788e-18, +7.5235020270378946e-35, +4.1187304955493722e-52), - qd(4.9067674327418015e-02, -6.7961037205182801e-19, -4.4318868124718325e-35, -9.9376628132525316e-52), - qd(5.2131704680283324e-02, -2.4243695291953779e-18, -1.3675405320092298e-34, -8.3938137621145070e-51), - qd(5.5195244349689941e-02, -1.3340299860891103e-18, -3.4359574125665608e-35, +1.1911462755409369e-51), - qd(5.8258264500435759e-02, +2.3299905496077492e-19, +1.9376108990628660e-36, -5.1273775710095301e-53), - qd(6.1320736302208578e-02, -5.1181134064638108e-19, -4.2726335866706313e-35, +2.6368495557440691e-51), - qd(6.4382630929857465e-02, -4.2325997000052705e-18, +3.3260117711855937e-35, +1.4736267706718352e-51), - qd(6.7443919563664065e-02, -6.9221796556983636e-18, +1.5909286358911040e-34, -7.8828946891835218e-51), - qd(7.0504573389613870e-02, -6.8552791107342883e-18, -1.9961177630841580e-34, +2.0127129580485300e-50), - qd(7.3564563599667426e-02, -2.7784941506273593e-18, -9.1240375489852821e-35, -1.9589752023546795e-51), - qd(7.6623861392031492e-02, +2.3253700287958801e-19, -1.3186083921213440e-36, -4.9927872608099673e-53), - qd(7.9682437971430126e-02, -4.4867664311373041e-18, +2.8540789143650264e-34, +2.8491348583262741e-51), - qd(8.2740264549375692e-02, +1.4735983530877760e-18, +3.7284093452233713e-35, +2.9024430036724088e-52), - qd(8.5797312344439894e-02, -3.3881893830684029e-18, -1.6135529531508258e-34, +7.7294651620588049e-51), - qd(8.8853552582524600e-02, -3.7501775830290691e-18, +3.7543606373911573e-34, +2.2233701854451859e-50), - qd(9.1908956497132724e-02, +4.7631594854274564e-18, +1.5722874642939344e-34, -4.8464145447831456e-51), - qd(9.4963495329639006e-02, -6.5885886400417564e-18, -2.1371116991641965e-34, +1.3819370559249300e-50), - qd(9.8017140329560604e-02, -1.6345823622442560e-18, -1.3209238810006454e-35, -3.5691060049117942e-52), - qd(1.0106986275482782e-01, +3.3164325719308656e-18, -1.2004224885132282e-34, +7.2028828495418631e-51), - qd(1.0412163387205457e-01, +6.5760254085385100e-18, +1.7066246171219214e-34, -4.9499340996893514e-51), - qd(1.0717242495680884e-01, +6.4424044279026198e-18, -8.3956976499698139e-35, -4.0667730213318321e-51), - qd(1.1022220729388306e-01, -5.6789503537823233e-19, +1.0380274792383233e-35, +1.5213997918456695e-52), - qd(1.1327095217756435e-01, +2.7100481012132900e-18, +1.5323292999491619e-35, +4.9564432810360879e-52), - qd(1.1631863091190477e-01, +1.0294914877509705e-18, -9.3975734948993038e-35, +1.3534827323719708e-52), - qd(1.1936521481099137e-01, -3.9500089391898506e-18, +3.5317349978227311e-34, +1.8856046807012275e-51), - qd(1.2241067519921620e-01, +2.8354501489965335e-18, +1.8151655751493305e-34, -2.8716592177915192e-51), - qd(1.2545498341154623e-01, +4.8686751763148235e-18, +5.9878105258097936e-35, -3.3534629098722107e-51), - qd(1.2849811079379317e-01, +3.8198603954988802e-18, -1.8627501455947798e-34, -2.4308161133527791e-51), - qd(1.3154002870288312e-01, -5.0039708262213813e-18, -1.2983004159245552e-34, -4.6872034915794122e-51), - qd(1.3458070850712620e-01, -9.1670359171480699e-18, +1.5916493007073973e-34, +4.0237002484366833e-51), - qd(1.3762012158648604e-01, +6.6253255866774482e-18, -2.3746583031401459e-34, -9.3703876173093250e-52), - qd(1.4065823933284924e-01, -7.9193932965524741e-18, +6.0972464202108397e-34, +2.4566623241035797e-50), - qd(1.4369503315029444e-01, +1.1472723016618666e-17, -5.1884954557576435e-35, -4.2220684832186607e-51), - qd(1.4673047445536175e-01, +3.7269471470465677e-18, +3.7352398151250827e-34, -4.0881822289508634e-51), - qd(1.4976453467732151e-01, +8.0812114131285151e-18, +1.2979142554917325e-34, +9.9380667487736254e-51), - qd(1.5279718525844344e-01, -7.6313573938416838e-18, +5.7714690450284125e-34, -3.7731132582986687e-50), - qd(1.5582839765426523e-01, +3.0351307187678221e-18, -1.0976942315176184e-34, +7.8734647685257867e-51), - qd(1.5885814333386145e-01, -4.0163200573859079e-18, -9.2840580257628812e-35, -2.8567420029274875e-51), - qd(1.6188639378011183e-01, +1.1850519643573528e-17, -5.0440990519162957e-34, +3.0510028707928009e-50), - qd(1.6491312048996992e-01, -7.0405288319166738e-19, +3.3211107491245527e-35, +8.6663299254686031e-52), - qd(1.6793829497473117e-01, +5.4284533721558139e-18, -3.3263339336181369e-34, -1.8536367335123848e-50), - qd(1.7096188876030122e-01, +9.1919980181759094e-18, -6.7688743940982606e-34, -1.0377711384318389e-50), - qd(1.7398387338746382e-01, +5.8151994618107928e-18, -1.6751014298301606e-34, -6.6982259797164963e-51), - qd(1.7700422041214875e-01, +6.7329300635408167e-18, +2.8042736644246623e-34, +3.6786888232793599e-51), - qd(1.8002290140569951e-01, +7.9701826047392143e-18, -7.0765920110524977e-34, +1.9622512608461784e-50), - qd(1.8303988795514095e-01, +7.7349918688637383e-18, -4.4803769968145083e-34, +1.1201148793328890e-50), - qd(1.8605515166344666e-01, -1.2564893007679552e-17, +7.5953844248530810e-34, -3.8471695132415039e-51), - qd(1.8906866414980622e-01, -7.6208955803527778e-18, -4.4792298656662981e-34, -4.4136824096645007e-50), - qd(1.9208039704989244e-01, +4.3348343941174903e-18, -2.3404121848139937e-34, +1.5789970962611856e-50), - qd(1.9509032201612828e-01, -7.9910790684617313e-18, +6.1846270024220713e-34, -3.5840270918032937e-50), - qd(1.9809841071795359e-01, -1.8434411800689445e-18, +1.4139031318237285e-34, +1.0542811125343809e-50), - qd(2.0110463484209190e-01, +1.1010032669300739e-17, -3.9123576757413791e-34, +2.4084852500063531e-51), - qd(2.0410896609281687e-01, +6.0941297773957752e-18, -2.8275409970449641e-34, +4.6101008563532989e-51), - qd(2.0711137619221856e-01, -1.0613362528971356e-17, +2.2456805112690884e-34, +1.3483736125280904e-50), - qd(2.1011183688046961e-01, +1.1561548476512844e-17, +6.0355905610401254e-34, +3.3329909618405675e-50), - qd(2.1311031991609136e-01, +1.2031873821063860e-17, -3.4142699719695635e-34, -1.2436262780241778e-50), - qd(2.1610679707621952e-01, -1.0111196082609117e-17, +7.2789545335189643e-34, -2.9347540365258610e-50), - qd(2.1910124015686980e-01, -3.6513812299150776e-19, -2.3359499418606442e-35, +3.1785298198458653e-52), - qd(2.2209362097320354e-01, -3.0337210995812162e-18, +6.6654668033632998e-35, +2.0110862322656942e-51), - qd(2.2508391135979283e-01, +3.9507040822556510e-18, +2.4287993958305375e-35, +5.6662797513020322e-52), - qd(2.2807208317088573e-01, +8.2361837339258012e-18, +6.9786781316397937e-34, -6.4122962482639504e-51), - qd(2.3105810828067111e-01, +1.0129787149761869e-17, -6.9359234615816044e-34, -2.8877355604883782e-50), - qd(2.3404195858354343e-01, -6.9922402696101173e-18, -5.7323031922750280e-34, +5.3092579966872727e-51), - qd(2.3702360599436720e-01, +8.8544852285039918e-18, +1.3588480826354134e-34, +1.0381022520213867e-50), - qd(2.4000302244874150e-01, -1.2137758975632164e-17, -2.6448807731703891e-34, -1.9929733800670473e-51), - qd(2.4298017990326390e-01, -8.7514315297196632e-18, -6.5723260373079431e-34, -1.0333158083172177e-50), - qd(2.4595505033579462e-01, -1.1129044052741832e-17, +4.3805998202883397e-34, +1.2219399554686291e-50), - qd(2.4892760574572018e-01, -8.1783436100020990e-18, +5.5666875261111840e-34, +3.8080473058748167e-50), - qd(2.5189781815421697e-01, -1.7591436032517039e-17, -1.0959681232525285e-33, +5.6209426020232456e-50), - qd(2.5486565960451457e-01, -1.3602299806901461e-19, -6.0073844642762535e-36, -3.0072751311893878e-52), - qd(2.5783110216215899e-01, +1.8480038630879957e-17, +3.3201664714047599e-34, -5.5547819290576764e-51), - qd(2.6079411791527551e-01, +4.2721420983550075e-18, +5.6782126934777920e-35, +3.1428338084365397e-51), - qd(2.6375467897483140e-01, -1.8837947680038700e-17, +1.3720129045754794e-33, -8.2763406665966033e-50), - qd(2.6671275747489837e-01, +2.0941222578826688e-17, -1.1303466524727989e-33, +1.9954224050508963e-50), - qd(2.6966832557291509e-01, +1.5765657618133259e-17, -6.9696142173370086e-34, -4.0455346879146776e-50), - qd(2.7262135544994898e-01, +7.8697166076387850e-18, +6.6179388602933372e-35, -2.7642903696386267e-51), - qd(2.7557181931095814e-01, +1.9320328962556582e-17, +1.3932094180100280e-33, +1.3617253920018116e-50), - qd(2.7851968938505312e-01, -1.0030273719543544e-17, +7.2592115325689254e-34, -1.0068516296655851e-50), - qd(2.8146493792575800e-01, -1.2322299641274009e-17, -1.0564788706386435e-34, +7.5137424251265885e-51), - qd(2.8440753721127182e-01, +2.2209268510661475e-17, -9.1823095629523708e-34, -5.2192875308892218e-50), - qd(2.8734745954472951e-01, +1.5461117367645717e-17, -6.3263973663444076e-34, -2.2982538416476214e-50), - qd(2.9028467725446239e-01, -1.8927978707774251e-17, +1.1522953157142315e-33, +7.4738655654716596e-50), - qd(2.9321916269425863e-01, +2.2385430811901833e-17, +1.3662484646539680e-33, -4.2451325253996938e-50), - qd(2.9615088824362384e-01, -2.0220736360876938e-17, -7.9252212533920413e-35, -2.8990577729572470e-51), - 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qd(5.7329716669804220e-01, +8.5176611669306400e-18, -6.4443208788026766e-34, +2.2546105543273003e-50), - qd(5.7580819141784534e-01, -3.7909495458942734e-17, -2.7433738046854309e-33, +1.1130841524216795e-49), - qd(5.7831379641165559e-01, -2.6237691512372831e-17, +1.3679051680738167e-33, -3.1409808935335900e-50), - qd(5.8081395809576453e-01, +1.8585338586613408e-17, +2.7673843114549181e-34, +1.9605349619836937e-50), - qd(5.8330865293769829e-01, +3.4516601079044858e-18, +1.8065977478946306e-34, -6.3953958038544646e-51), - qd(5.8579785745643886e-01, -3.7485501964311294e-18, +2.7965403775536614e-34, -7.1816936024157202e-51), - qd(5.8828154822264533e-01, -2.9292166725006846e-17, -2.3744954603693934e-33, -1.1571631191512480e-50), - qd(5.9075970185887428e-01, -4.7013584170659542e-17, +2.4808417611768356e-33, +1.2598907673643198e-50), - qd(5.9323229503979980e-01, +1.2892320944189053e-17, +5.3058364776359583e-34, +4.1141674699390052e-50), - qd(5.9569930449243336e-01, -1.3438641936579467e-17, -6.7877687907721049e-35, -5.6046937531684890e-51), - qd(5.9816070699634227e-01, +3.8801885783000657e-17, -1.2084165858094663e-33, -4.0456610843430061e-50), - qd(6.0061647938386897e-01, -4.6398198229461932e-17, -1.6673493003710801e-33, +5.1982824378491445e-50), - qd(6.0306659854034816e-01, +3.7323357680559650e-17, +2.7771920866974305e-33, -1.6194229649742458e-49), - qd(6.0551104140432555e-01, -3.1202672493305677e-17, +1.2761267338680916e-33, -4.0859368598379647e-50), - qd(6.0794978496777363e-01, +3.5160832362096660e-17, -2.5546242776778394e-34, -1.4085313551220694e-50), - qd(6.1038280627630948e-01, -2.2563265648229169e-17, +1.3185575011226730e-33, +8.2316691420063460e-50), - qd(6.1281008242940971e-01, -4.2693476568409685e-18, +2.5839965886650320e-34, +1.6884412005622537e-50), - qd(6.1523159058062682e-01, +2.6231417767266950e-17, -1.4095366621106716e-33, +7.2058690491304558e-50), - qd(6.1764730793780398e-01, -4.7478594510902452e-17, -7.2986558263123996e-34, -3.0152327517439154e-50), - qd(6.2005721176328921e-01, -2.7983410837681118e-17, +1.1649951056138923e-33, -5.4539089117135207e-50), - qd(6.2246127937414997e-01, +5.2940728606573002e-18, -4.8486411215945827e-35, +1.2696527641980109e-52), - qd(6.2485948814238634e-01, +3.3671846037243900e-17, -2.7846053391012096e-33, +5.6102718120012104e-50), - qd(6.2725181549514408e-01, +3.0763585181253225e-17, +2.7068930273498138e-34, -1.1172240309286484e-50), - qd(6.2963823891492698e-01, +4.1115334049626806e-17, -1.9167473580230747e-33, +1.1118424028161730e-49), - qd(6.3201873593980906e-01, -4.0164942296463612e-17, -7.2208643641736723e-34, +3.7828920470544344e-50), - qd(6.3439328416364549e-01, +1.0420901929280035e-17, +4.1174558929280492e-34, -1.4464152986630705e-51), - qd(6.3676186123628420e-01, +3.1419048711901611e-17, -2.2693738415126449e-33, -1.6023584204297388e-49), - qd(6.3912444486377573e-01, +1.2416796312271043e-17, -6.2095419626356605e-34, +2.7762065999506603e-50), - qd(6.4148101280858316e-01, -9.9883430115943310e-18, +4.1969230376730128e-34, +5.6980543799257597e-51), - qd(6.4383154288979150e-01, -3.2084798795046886e-17, -1.2595311907053305e-33, -4.0205885230841536e-50), - qd(6.4617601298331639e-01, -2.9756137382280815e-17, -1.0275370077518259e-33, +8.0852478665893014e-51), - qd(6.4851440102211244e-01, +3.9870270313386831e-18, +1.9408388509540788e-34, -5.1798420636193190e-51), - qd(6.5084668499638088e-01, +3.9714670710500257e-17, +2.9178546787002963e-34, +3.8140635508293278e-51), - qd(6.5317284295377676e-01, +8.5695642060026238e-18, -6.9165322305070633e-34, +2.3873751224185395e-50), - qd(6.5549285299961535e-01, +3.5638734426385005e-17, +1.2695365790889811e-33, +4.3984952865412050e-50), - qd(6.5780669329707864e-01, +1.9580943058468545e-17, -1.1944272256627192e-33, +2.8556402616436858e-50), - qd(6.6011434206742048e-01, -1.3960054386823638e-19, +6.1515777931494047e-36, +5.3510498875622660e-52), - qd(6.6241577759017178e-01, -2.2615508885764591e-17, +5.0177050318126862e-34, +2.9162532399530762e-50), - qd(6.6471097820334490e-01, -3.6227793598034367e-17, -9.0607934765540427e-34, +3.0917036342380213e-50), - qd(6.6699992230363747e-01, +3.5284364997428166e-17, -1.0382057232458238e-33, +7.3812756550167626e-50), - qd(6.6928258834663612e-01, -5.4592652417447913e-17, -2.5181014709695152e-33, -1.6867875999437174e-49), - qd(6.7155895484701844e-01, -4.0489037749296692e-17, +3.1995835625355681e-34, -1.4044414655670960e-50), - qd(6.7382900037875604e-01, +2.3091901236161086e-17, +5.7428037192881319e-34, +1.1240668354625977e-50), - qd(6.7609270357531592e-01, +3.7256902248049466e-17, +1.7059417895764375e-33, +9.7326347795300652e-50), - qd(6.7835004312986147e-01, +1.8302093041863122e-17, +9.5241675746813072e-34, +5.0328101116133503e-50), - qd(6.8060099779545302e-01, +2.8473293354522047e-17, +4.1331805977270903e-34, +4.2579030510748576e-50), - qd(6.8284554638524808e-01, -1.2958058061524531e-17, +1.8292386959330698e-34, +3.4536209116044487e-51), - qd(6.8508366777270036e-01, +2.5948135194645137e-17, -8.5030743129500702e-34, -6.9572086141009930e-50), - qd(6.8731534089175916e-01, -5.5156158714917168e-17, +1.1896489854266829e-33, -7.8505896218220662e-51), - qd(6.8954054473706694e-01, -1.5889323294806790e-17, +9.1242356240205712e-34, +3.8315454152267638e-50), - qd(6.9175925836415775e-01, +2.7406078472410668e-17, +1.3286508943202092e-33, +1.0651869129580079e-51), - qd(6.9397146088965400e-01, +7.4345076956280137e-18, +7.5061528388197460e-34, -1.5928000240686583e-50), - qd(6.9617713149146299e-01, -4.1224081213582889e-17, -3.1838716762083291e-35, -3.9625587412119131e-51), - qd(6.9837624940897280e-01, +4.8988282435667768e-17, +1.9134010413244152e-33, +2.6161153243793989e-50), - qd(7.0056879394324834e-01, +3.1027960192992922e-17, +9.5638250509179997e-34, +4.5896916138107048e-51), - qd(7.0275474445722530e-01, +2.5278294383629822e-18, -8.6985561210674942e-35, -5.6899862307812990e-51), - qd(7.0493408037590488e-01, +2.7608725585748502e-17, +2.9816599471629137e-34, +1.1533044185111206e-50), - qd(7.0710678118654757e-01, -4.8336466567264567e-17, +2.0693376543497068e-33, +2.4677734957341755e-50) - }; - - // table of cos(k * pi/1024) - constexpr qd qd_cos_table [] = { - qd( 9.9999529380957619e-01, -1.9668064285322189e-17, -6.3053955095883481e-34, +5.3266110855726731e-52), - qd( 9.9998117528260111e-01, +3.3568103522895585e-17, -1.4740132559368063e-35, +9.8603097594755596e-52), - qd( 9.9995764455196390e-01, -3.1527836866647287e-17, +2.6363251186638437e-33, +1.0007504815488399e-49), - qd( 9.9992470183914450e-01, +3.7931082512668012e-17, -8.5099918660501484e-35, -4.9956973223295153e-51), - qd( 9.9988234745421256e-01, -3.5477814872408538e-17, +1.7102001035303974e-33, -1.0725388519026542e-49), - qd( 9.9983058179582340e-01, +1.8825140517551119e-17, -5.1383513457616937e-34, -3.8378827995403787e-50), - qd( 9.9976940535121528e-01, +4.2681177032289012e-17, +1.9062302359737099e-33, -6.0221153262881160e-50), - qd( 9.9969881869620425e-01, -2.9851486403799753e-17, -1.9084787370733737e-33, +5.5980260344029202e-51), - qd( 9.9961882249517864e-01, -4.1181965521424734e-17, +2.0915365593699916e-33, +8.1403390920903734e-50), - qd( 9.9952941750109314e-01, +2.0517917823755591e-17, -4.7673802585706520e-34, -2.9443604198656772e-50), - qd( 9.9943060455546173e-01, +3.9644497752257798e-17, -2.3757223716722428e-34, -1.2856759011361726e-51), - qd( 9.9932238458834954e-01, -4.2858538440845682e-17, +3.3235101605146565e-34, -8.3554272377057543e-51), - qd( 9.9920475861836389e-01, +9.1796317110385693e-18, +5.5416208185868570e-34, +8.0267046717615311e-52), - qd( 9.9907772775264536e-01, +2.1419007653587032e-17, -7.9048203318529618e-34, -5.3166296181112712e-50), - qd( 9.9894129318685687e-01, -2.0610641910058638e-17, -1.2546525485913485e-33, -7.5175888806157064e-50), - qd( 9.9879545620517241e-01, -1.2291693337075465e-17, +2.4468446786491271e-34, +1.0723891085210268e-50), - qd( 9.9864021818026527e-01, -4.8690254312923302e-17, -2.9470881967909147e-34, -1.3000650761346907e-50), - qd( 9.9847558057329477e-01, -2.2002931182778795e-17, -1.2371509454944992e-33, -2.4911225131232065e-50), - qd( 9.9830154493389289e-01, -5.1869402702792278e-17, +1.0480195493633452e-33, -2.8995649143155511e-50), - qd( 9.9811811290014918e-01, +2.7935487558113833e-17, +2.4423341255830345e-33, -6.7646699175334417e-50), - qd( 9.9792528619859600e-01, +1.7143659778886362e-17, +5.7885840902887460e-34, -9.2601432603894597e-51), - qd( 9.9772306664419164e-01, -2.6394475274898721e-17, -1.6176223087661783e-34, -9.9924942889362281e-51), - qd( 9.9751145614030345e-01, +5.6007205919806937e-18, -5.9477673514685690e-35, -1.4166807162743627e-54), - qd( 9.9729045667869021e-01, +9.1647695371101735e-18, +6.7824134309739296e-34, -8.6191392795543357e-52), - qd( 9.9706007033948296e-01, +1.6734093546241963e-17, -1.3169951440780028e-33, +1.0311048767952477e-50), - qd( 9.9682029929116567e-01, +4.7062820708615655e-17, +2.8412041076474937e-33, -8.0006155670263622e-50), - qd( 9.9657114579055484e-01, +1.1707179088390986e-17, -7.5934413263024663e-34, +2.8474848436926008e-50), - qd( 9.9631261218277800e-01, +1.1336497891624735e-17, +3.4002458674414360e-34, +7.7419075921544901e-52), - qd( 9.9604470090125197e-01, +2.2870031707670695e-17, -3.9184839405013148e-34, -3.7081260416246375e-50), - qd( 9.9576741446765982e-01, -2.3151908323094359e-17, -1.6306512931944591e-34, -1.5925420783863192e-51), - qd( 9.9548075549192694e-01, +3.2084621412226554e-18, -4.9501292146013023e-36, -2.7811428850878516e-52), - qd( 9.9518472667219693e-01, -4.2486913678304410e-17, +1.3315510772504614e-33, +6.7927987417051888e-50), - qd( 9.9487933079480562e-01, +4.2130813284943662e-18, -4.2062597488288452e-35, +2.5157064556087620e-51), - qd( 9.9456457073425542e-01, +3.6745069641528058e-17, -3.0603304105471010e-33, +1.0397872280487526e-49), - qd( 9.9424044945318790e-01, +4.4129423472462673e-17, -3.0107231708238066e-33, +7.4201582906861892e-50), - qd( 9.9390697000235606e-01, -1.8964849471123746e-17, -1.5980853777937752e-35, -8.5374807150597082e-52), - qd( 9.9356413552059530e-01, +2.9752309927797428e-17, -4.5066707331134233e-34, -3.3548191633805036e-50), - qd( 9.9321194923479450e-01, +3.3096906261272262e-17, +1.5592811973249567e-33, +1.4373977733253592e-50), - qd( 9.9285041445986510e-01, -1.4094517733693302e-17, -1.1954558131616916e-33, +1.8761873742867983e-50), - qd( 9.9247953459870997e-01, +3.1093055095428906e-17, -1.8379594757818019e-33, -3.9885758559381314e-51), - qd( 9.9209931314219180e-01, -3.9431926149588778e-17, -6.2758062911047230e-34, -1.2960929559212390e-50), - qd( 9.9170975366909953e-01, -2.3372891311883661e-18, +2.7073298824968591e-35, -1.2569459441802872e-51), - qd( 9.9131085984611544e-01, -2.5192111583372105e-17, -1.2852471567380887e-33, +5.2385212584310483e-50), - qd( 9.9090263542778001e-01, +1.5394565094566704e-17, -1.0799984133184567e-33, +2.7451115960133595e-51), - qd( 9.9048508425645709e-01, -5.5411437553780867e-17, -1.4614017210753585e-33, -3.8339374397387620e-50), - qd( 9.9005821026229712e-01, -1.7055485906233963e-17, +1.3454939685758777e-33, +7.3117589137300036e-50), - qd( 9.8962201746320089e-01, -5.2398217968132530e-17, +1.3463189211456219e-33, +5.8021640554894872e-50), - qd( 9.8917650996478101e-01, -4.0987309937047111e-17, -4.4857560552048437e-34, -3.9414504502871125e-50), - qd( 9.8872169196032378e-01, -1.0976227206656125e-17, +3.2311342577653764e-34, +9.6367946583575041e-51), - qd( 9.8825756773074946e-01, +2.7030607784372632e-17, +7.7514866488601377e-35, +2.1019644956864938e-51), - qd( 9.8778414164457218e-01, -2.3600693397159021e-17, -1.2323283769707861e-33, +3.0130900716803339e-50), - qd( 9.8730141815785843e-01, -5.2332261255715652e-17, -2.7937644333152473e-33, +1.2074160567958408e-49), - qd( 9.8680940181418553e-01, -5.0287214351061075e-17, -2.2681526238144461e-33, +4.4003694320169133e-50), - qd( 9.8630809724459867e-01, -2.1520877103013341e-17, +1.1866528054187716e-33, -7.8532199199813836e-50), - qd( 9.8579750916756748e-01, -5.1439452979953012e-17, +2.6276439309996725e-33, +7.5423552783286347e-50), - qd( 9.8527764238894122e-01, +2.3155637027900207e-17, -7.5275971545764833e-34, +1.0582231660456094e-50), - qd( 9.8474850180190421e-01, +1.0548144061829957e-17, +2.8786145266267306e-34, -3.6782210081466112e-51), - qd( 9.8421009238692903e-01, +4.7983922627050691e-17, +2.2597419645070588e-34, +1.7573875814863400e-50), - qd( 9.8366241921173025e-01, +1.9864948201635255e-17, -1.0743046281211033e-35, +1.7975662796558100e-52), - qd( 9.8310548743121629e-01, +4.2170007522888628e-17, +8.2396265656440904e-34, -8.0803700139096561e-50), - qd( 9.8253930228744124e-01, +1.5149580813777224e-17, -4.1802771422186237e-34, -2.2150174326226160e-50), - 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