test_gamma_data.ipp

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//  (C) Copyright John Maddock 2006.
//  Use, modification and distribution are subject to the
//  Boost Software License, Version 1.0. (See accompanying file
//  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)

#define SC_(x) static_cast<T>(BOOST_JOIN(x, L))
   static const boost::array<boost::array<T, 3>, 198> factorials = { {
      { SC_(1), SC_(1), SC_(0) },
      { SC_(2), SC_(1), SC_(0) },
      { SC_(3), SC_(2), SC_(0.6931471805599453094172321214581765680755) },
      { SC_(4), SC_(6), SC_(1.791759469228055000812477358380702272723) },
      { SC_(5), SC_(24), SC_(3.178053830347945619646941601297055408874) },
      { SC_(6), SC_(120), SC_(4.7874917427820459942477009345232430484) },
      { SC_(7), SC_(720), SC_(6.579251212010100995060178292903945321123) },
      { SC_(8), SC_(5040), SC_(8.52516136106541430016553103634712505076) },
      { SC_(9), SC_(40320), SC_(10.60460290274525022841722740072165475499) },
      { SC_(10), SC_(362880), SC_(12.80182748008146961120771787456670616428) },
      { SC_(11), SC_(3628800), SC_(15.10441257307551529522570932925107037188) },
      { SC_(12), SC_(39916800), SC_(17.5023078458738858392876529072161996717) },
      { SC_(13), SC_(479001600), SC_(19.9872144956618861495173623870550785125) },
      { SC_(14), SC_(6227020800.0), SC_(22.55216385312342288557084982862039711731) },
      { SC_(15), SC_(87178291200.0), SC_(25.19122118273868150009343469352175341502) },
      { SC_(16), SC_(1307674368000.0), SC_(27.89927138384089156608943926367046675919) },
      { SC_(17), SC_(20922789888000.0), SC_(30.6718601060806728037583677495031730315) },
      { SC_(18), SC_(355687428096000.0), SC_(33.50507345013688888400790236737629956708) },
      { SC_(19), SC_(6402373705728000.0), SC_(36.39544520803305357621562496267952754445) },
      { SC_(20), SC_(121645100408832000.0), SC_(39.33988418719949403622465239456738108169) },
      { SC_(21), SC_(0.243290200817664e19), SC_(42.33561646075348502965987597070992185737) },
      { SC_(22), SC_(0.5109094217170944e20), SC_(45.38013889847690802616047395107562729165) },
      { SC_(23), SC_(0.112400072777760768e22), SC_(48.47118135183522387963964965049893315955) },
      { SC_(24), SC_(0.2585201673888497664e23), SC_(51.60667556776437357044640248230912927799) },
      { SC_(25), SC_(0.62044840173323943936e24), SC_(54.78472939811231919009334408360618468687) },
      { SC_(26), SC_(0.15511210043330985984e26), SC_(58.00360522298051993929486275005855996592) },
      { SC_(27), SC_(0.403291461126605635584e27), SC_(61.2617017610020019847655823130820551388) },
      { SC_(28), SC_(0.10888869450418352160768e29), SC_(64.55753862700633105895131802384963225274) },
      { SC_(29), SC_(0.304888344611713860501504e30), SC_(67.88974313718153498289113501020916511853) },
      { SC_(30), SC_(0.8841761993739701954543616e31), SC_(71.25703896716800901007440704257107672402) },
      { SC_(31), SC_(0.26525285981219105863630848e33), SC_(74.65823634883016438548764373417796663627) },
      { SC_(32), SC_(0.822283865417792281772556288e34), SC_(78.09222355331531063141680805872032384672) },
      { SC_(33), SC_(0.26313083693369353016721801216e36), SC_(81.5579594561150371785029686660112066871) },
      { SC_(34), SC_(0.868331761881188649551819440128e37), SC_(85.05446701758151741396015748089886169157) },
      { SC_(35), SC_(0.29523279903960414084761860964352e39), SC_(88.58082754219767880362692422023016479523) },
      { SC_(36), SC_(0.103331479663861449296666513375232e41), SC_(92.13617560368709248333303629689953216439) },
      { SC_(37), SC_(0.3719933267899012174679994481508352e42), SC_(95.71969454214320248495799101366093670984) },
      { SC_(38), SC_(0.137637530912263450463159795815809024e44), SC_(99.33061245478742692932608668469238387374) },
      { SC_(39), SC_(0.5230226174666011117600072241000742912e45), SC_(102.9681986145138126987523462380384139791) },
      { SC_(40), SC_(0.203978820811974433586402817399028973568e47), SC_(106.6317602606434591262010789165262582885) },
      { SC_(41), SC_(0.815915283247897734345611269596115894272e48), SC_(110.3206397147573954290535346141269756323) },
      { SC_(42), SC_(0.3345252661316380710817006205344075166515e50), SC_(114.0342117814617032329202979871643832206) },
      { SC_(43), SC_(0.1405006117752879898543142606244511569936e52), SC_(117.771881399745071538838128088988265223) },
      { SC_(44), SC_(0.6041526306337383563735513206851399750726e53), SC_(121.5330815154386339623109706023341122586) },
      { SC_(45), SC_(0.265827157478844876804362581101461589032e55), SC_(125.3172711493568951252073784232155946945) },
      { SC_(46), SC_(0.1196222208654801945619631614956577150644e57), SC_(129.1239336391272148825986282302868337433) },
      { SC_(47), SC_(0.5502622159812088949850305428800254892962e58), SC_(132.9525750356163098828226131835552064299) },
      { SC_(48), SC_(0.2586232415111681806429643551536119799692e60), SC_(136.8027226373263684696435638533273801388) },
      { SC_(49), SC_(0.1241391559253607267086228904737337503852e62), SC_(140.6739236482342593987077375760826121157) },
      { SC_(50), SC_(0.6082818640342675608722521633212953768876e63), SC_(144.565743946344886008918443062968971575) },
      { SC_(51), SC_(0.3041409320171337804361260816606476884438e65), SC_(148.4777669517730320675371938508795234221) },
      { SC_(52), SC_(0.1551118753287382280224243016469303211063e67), SC_(152.4095925844973578391819737056751756623) },
      { SC_(53), SC_(0.8065817517094387857166063685640376697529e68), SC_(156.3608363030787851940699253901568474033) },
      { SC_(54), SC_(0.427488328406002556429801375338939964969e70), SC_(160.3311282166309070282143945291859051737) },
      { SC_(55), SC_(0.2308436973392413804720927426830275810833e72), SC_(164.3201122631951814118173623614116588557) },
      { SC_(56), SC_(0.1269640335365827592596510084756651695958e74), SC_(168.327445448427652330480065272602975795) },
      { SC_(57), SC_(0.7109985878048634518540456474637249497365e75), SC_(172.3527971391628015638371143804206852289) },
      { SC_(58), SC_(0.4052691950487721675568060190543232213498e77), SC_(176.3958484069973517152413870492310644708) },
      { SC_(59), SC_(0.2350561331282878571829474910515074683829e79), SC_(180.4562914175437710518418912030511526443) },
      { SC_(60), SC_(0.1386831185456898357379390197203894063459e81), SC_(184.5338288614494905024579415767708502684) },
      { SC_(61), SC_(0.8320987112741390144276341183223364380754e82), SC_(188.6281734236715911872884103898359167487) },
      { SC_(62), SC_(0.507580213877224798800856812176625227226e84), SC_(192.7390472878449024360397994932615314951) },
      { SC_(63), SC_(0.3146997326038793752565312235495076408801e86), SC_(196.8661816728899939913861959392620652736) },
      { SC_(64), SC_(0.1982608315404440064116146708361898137545e88), SC_(201.0093163992815266792820391565502964125) },
      { SC_(65), SC_(0.1268869321858841641034333893351614808029e90), SC_(205.168199482641198535785431885299355821) },
      { SC_(66), SC_(0.8247650592082470666723170306785496252186e91), SC_(209.3425867525368356464396786600908620653) },
      { SC_(67), SC_(0.5443449390774430640037292402478427526443e93), SC_(213.5322414945632611913140995964366936378) },
      { SC_(68), SC_(0.3647111091818868528824985909660546442717e95), SC_(217.7369341139542272509841715928004163884) },
      { SC_(69), SC_(0.2480035542436830599600990418569171581047e97), SC_(221.9564418191303339500681704535898960601) },
      { SC_(70), SC_(0.1711224524281413113724683388812728390923e99), SC_(226.1905483237275933322701685223226178832) },
      { SC_(71), SC_(0.1197857166996989179607278372168909873646e101), SC_(230.4390435657769523213935127204501618205) },
      { SC_(72), SC_(0.8504785885678623175211676442399260102886e102), SC_(234.7017234428182677427229672529631959172) },
      { SC_(73), SC_(0.6123445837688608686152407038527467274078e104), SC_(238.9783895618343230537651540911827770308) },
      { SC_(74), SC_(0.4470115461512684340891257138125051110077e106), SC_(243.2688490029827141828572629486213196017) },
      { SC_(75), SC_(0.3307885441519386412259530282212537821457e108), SC_(247.5729140961868839366425907411109433336) },
      { SC_(76), SC_(0.2480914081139539809194647711659403366093e110), SC_(251.8904022097231943772393546444858443173) },
      { SC_(77), SC_(0.188549470166605025498793226086114655823e112), SC_(256.2211355500095254560828463192900509907) },
      { SC_(78), SC_(0.1451830920282858696340707840863082849837e114), SC_(260.5649409718632093052501426406983600202) },
      { SC_(79), SC_(0.1132428117820629783145752115873204622873e116), SC_(264.9216497985528010421161074406443808977) },
      { SC_(80), SC_(0.8946182130782975286851441715398316520698e117), SC_(269.2910976510198225362890529821257918199) },
      { SC_(81), SC_(0.7156945704626380229481153372318653216558e119), SC_(273.6731242856937041485587408011846857317) },
      { SC_(82), SC_(0.5797126020747367985879734231578109105412e121), SC_(278.0675734403661429141397217488747885503) },
      { SC_(83), SC_(0.4753643337012841748421382069894049466438e123), SC_(282.4742926876303960274237172433703727067) },
      { SC_(84), SC_(0.3945523969720658651189747118012061057144e125), SC_(286.8931332954269939508991894666617431598) },
      { SC_(85), SC_(0.3314240134565353266999387579130131288001e127), SC_(291.3239500942703075662342516899438017302) },
      { SC_(86), SC_(0.2817104114380550276949479442260611594801e129), SC_(295.7666013507606240210845456410431159053) },
      { SC_(87), SC_(0.2422709538367273238176552320344125971528e131), SC_(300.220948647014131753974620275847139509) },
      { SC_(88), SC_(0.210775729837952771721360051869938959523e133), SC_(304.6868567656687154725531375451315768191) },
      { SC_(89), SC_(0.1854826422573984391147968456455462843802e135), SC_(309.1641935801469219448667774874712358232) },
      { SC_(90), SC_(0.1650795516090846108121691926245361930984e137), SC_(313.6528299498790617831845930281410850426) },
      { SC_(91), SC_(0.1485715964481761497309522733620825737886e139), SC_(318.1526396202093268499930749566705006595) },
      { SC_(92), SC_(0.1352001527678402962551665687594951421476e141), SC_(322.6634991267261768911519151416789989939) },
      { SC_(93), SC_(0.1243841405464130725547532432587355307758e143), SC_(327.1852877037752172007931322164055482485) },
      { SC_(94), SC_(0.1156772507081641574759205162306240436215e145), SC_(331.7178871969284731381175417778704311636) },
      { SC_(95), SC_(0.1087366156656743080273652852567866010042e147), SC_(336.2611819791984770343557245691007814406) },
      { SC_(96), SC_(0.103299784882390592625997020993947270954e149), SC_(340.8150588707990178689655113342148226173) },
      { SC_(97), SC_(0.9916779348709496892095714015418938011582e150), SC_(345.3794070622668541074469171784282311623) },
      { SC_(98), SC_(0.9619275968248211985332842594956369871234e152), SC_(349.9541180407702369295636388001321928762) },
      { SC_(99), SC_(0.942689044888324774562618574305724247381e154), SC_(354.5390855194408088491915764084767289035) },
      { SC_(1.5), SC_(0.8862269254527580136490837416705725913988), SC_(-0.1207822376352452223455184457816472122519) },
      { SC_(2.5), SC_(1.329340388179137020473625612505858887098), SC_(0.2846828704729191596324946696827019243201) },
      { SC_(3.5), SC_(3.323350970447842551184064031264647217745), SC_(1.20097360234707422481602188145071299577) },
      { SC_(4.5), SC_(11.63172839656744892914422410942626526211), SC_(2.453736570842442220504142503435716157332) },
      { SC_(5.5), SC_(52.34277778455352018114900849241819367949), SC_(3.957813967618716293877400855822590998551) },
      { SC_(6.5), SC_(287.8852778150443609963195467083000652372), SC_(5.662562059857141528522112312329543730298) },
      { SC_(7.5), SC_(1871.254305797788346476077053603950424042), SC_(7.534364236758732955158367632436685767027) },
      { SC_(8.5), SC_(14034.40729348341259857057790202962818031), SC_(9.549267257300997711737140081127222543125) },
      { SC_(9.5), SC_(119292.4619946090070878499121672518395327), SC_(11.68933342079726848256944257754217251064) },
      { SC_(10.5), SC_(1133278.38894878556733457416558889247556), SC_(13.9406252194037636331612378879718494798) },
      { SC_(11.5), SC_(11899423.08396224845701302873868337099338), SC_(16.29200047656724132024460374687937834601) },