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Update test/beta_inc.jl
Co-authored-by: David Widmann <[email protected]>
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test/beta_inc.jl

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ans4 = [5.6598501882086638e-163, 1.2793886161240335e-138, 2.2576938967074611e-124, 2.8979946053659182e-114, 2.0091646864167303e-106, 5.1249028123107484e-100, 1.3384365465929538e-94, 6.5928463236275696e-90, 9.0834048016126672e-86, 4.5811711646109305e-82, 1.024712535445947e-78, 1.1712904358478081e-75, 7.61899830618238e-73, 3.0663999960291821e-70, 8.1593401517362853e-68, 1.5142302711017038e-65, 2.0475200955891378e-63, 2.0916713536958276e-61, 1.6640409038082517e-59, 1.057759838815703e-57, 5.4913266744369942e-56, 2.3725786887367975e-54, 8.6718335278405774e-53, 2.7197933177013249e-51, 7.4118251807120739e-50, 1.7744725579765609e-48, 3.7689144668459763e-47, 7.1639177579230802e-46, 1.2281691523716354e-44, 1.9124082898174377e-43, 2.7218251674439459e-42, 3.5610505888183843e-41, 4.3051319713293141e-40, 4.8320967998003304e-39, 5.0570559392737623e-38, 4.954351648811439e-37, 4.5601168072923055e-36, 3.9565121052116655e-35, 3.2458692695921472e-34, 2.5250201231776632e-33, 1.8674800424552049e-32, 1.31632743396051e-31, 8.862853181709709e-31, 5.71217922566864e-30, 3.5310511291576422e-29, 2.0973893941833731e-28, 1.1991528375926732e-27, 6.6098385509764045e-27, 3.5179140837714274e-26, 1.8104027085942885e-25, 9.0207305335112628e-25, 4.3574464645305935e-24, 2.0429719208160492e-23, 9.307222587504958e-23, 4.124448596486994e-22, 1.7796548980836483e-21, 7.4841565165421277e-21, 3.0702859704148574e-20, 1.2297464356858357e-19, 4.8128959875339663e-19, 1.8419917152708652e-18, 6.8988896144258444e-18, 2.5303817306725186e-17, 9.094925675449239e-17, 3.2055039961949189e-16, 1.1085187441597278e-15, 3.7635118688411301e-15, 1.255134520239119e-14, 4.1140267831674448e-14, 1.3260121388841605e-13, 4.2048092809091946e-13, 1.3124119186938038e-12, 4.0338344386888606e-12, 1.2214673719698131e-11, 3.6454138300247904e-11, 1.0727343115700782e-10, 3.1138059245591031e-10, 8.9189474914175862e-10, 2.5218693952601578e-09, 7.0417217701699225e-09, 1.9424040709629306e-08, 5.2949202359208791e-08, 1.4268930041189607e-07, 3.8026633846818863e-07, 1.0025399986934807e-06, 2.6156990305099061e-06, 6.756237677059056e-06, 1.7282977043885323e-05, 4.3803033456977776e-05, 0.00011004048858461744, 0.0002741427949192326, 0.00067767979451775295, 0.0016633950407366552, 0.0040576338171432955, 0.009848744173397107, 0.023828559323224537, 0.057638830150965534, 0.14020121761365209, 0.34813332055564178]
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ans5 = [0.013962049747018378, 0.042738447399963485, 0.080235508245346435, 0.12332127072222762, 0.16988388360150664, 0.21838766458819614, 0.26767957944384452, 0.31688247132531383, 0.36532771975839284, 0.41250897644193646, 0.45804848436293449, 0.50167153949877097, 0.54318655272778527, 0.58246914958502727, 0.61944929138313776, 0.65410072456419888, 0.68643226670884316, 0.71648056882768607, 0.74430408220004141, 0.76997801988794912, 0.79359014748064294, 0.8152372703488121, 0.83502230934244948, 0.85305187581929465, 0.86943427172671017, 0.88427785226197508, 0.89768969816152788, 0.90977455245768279, 0.92063398298239707, 0.93036573727946092, 0.93906326112402183, 0.94681535570471753, 0.95370595182410001, 0.95981398231488424, 0.96521333632950712, 0.96997288129947024, 0.97415654022800602, 0.97782341361450698, 0.9810279367445075, 0.98382006434176061, 0.98624547569157095, 0.98834579432593017, 0.99015881722713328, 0.99171874927107939, 0.993056439306095, 0.99419961485797559, 0.99517311297582334, 0.99599910519385948, 0.99669731498846048, 0.99728522646317797, 0.99777828330274299, 0.9981900773047403, 0.99853252602897213, 0.99881603930330098, 0.99904967449435056, 0.99924128059493644, 0.99939763130024395, 0.99952454734409613, 0.99962700844743568, 0.99970925529544441, 0.99977488200944087, 0.99982691961654058, 0.99986791104559958, 0.99989997819362175, 0.99992488161389415, 0.9999440733768028, 0.99995874364766302, 0.99996986151394762, 0.9999782105779107, 0.99998441981059161, 0.99998899014027587, 0.99999231722334625, 0.99999471081867697, 0.99999641115882809, 0.99999760268277504, 0.99999842546616124, 0.99999898465647652, 0.99999935819244778, 0.99999960305956725, 0.99999976030730964, 0.99999985902839927, 0.99999991947664768, 0.99999995547750509, 0.9999999762646713, 0.99999998785693356, 0.99999999407190587, 0.99999999725752275, 0.99999999880800261, 0.99999999951849838, 0.99999999982174348, 0.99999999994062116, 0.99999999998264033, 0.99999999999569866, 0.9999999999991418, 0.99999999999987266, 0.99999999999998768, 0.99999999999999944, 0.99999999999999989, 0.99999999999999989]
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ans6 = [3.3560143825993687e-143, 2.213518371644144e-113, 4.0145526832291446e-96, 5.2109131251766219e-84, 1.0203891990294805e-74, 3.2677379646480312e-67, 6.1015737258099584e-61, 1.4185802923209925e-55, 6.6985847646944376e-51, 8.9719726417923444e-47, 4.3251435416063278e-43, 8.9466478285748974e-40, 9.0742566193142145e-37, 5.0057011672920701e-34, 1.6303369052296386e-31, 3.3493886577780779e-29, 4.5813387723702873e-27, 4.3628327684456486e-25, 3.0028168459240925e-23, 1.5416424964057036e-21, 6.0647292131758379e-20, 1.8708373622428274e-18, 4.6165844488973474e-17, 9.2725535948439169e-16, 1.5390751973611367e-14, 2.1394034328449769e-13, 2.5200592719451178e-12, 2.5418366766245469e-11, 2.215842537778695e-10, 1.6834088907362684e-09, 1.122874450436064e-08, 6.6201731659826321e-08, 3.4707638415115294e-07, 1.6269341185131871e-06, 6.8526269592546404e-06, 2.6052419808499182e-05, 8.97713031375554e-05, 0.0002814332703651891, 0.00080554169029503023, 0.0021120197810150015, 0.0050879707571202049, 0.01129547597461162, 0.023174688420508269, 0.044064890651698461, 0.077870360082158169, 0.12827033082474237, 0.19756362321699061, 0.28548625344477141, 0.38850225052293164, 0.50000000000002465, 0.61149774947706836, 0.71451374655522859, 0.80243637678300939, 0.87172966917525962, 0.92212963991784314, 0.95593510934830217, 0.97682531157949204, 0.98870452402538833, 0.99491202924287991, 0.99788798021898495, 0.99919445830970499, 0.99971856672963477, 0.99991022869686241, 0.99997394758019154, 0.99999314737304079, 0.99999837306588146, 0.99999965292361581, 0.99999993379826835, 0.99999998877125551, 0.99999999831659114, 0.99999999977841569, 0.99999999997458167, 0.9999999999974799, 0.99999999999978606, 0.99999999999998457, 0.99999999999999911, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989]
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@testset "a=0.5, b=0.5, x=$x" for (ctr, x) in enumerate(0.01:0.01:0.99)
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@test beta_inc(0.5, 0.5, x, 1.0 - x)[1] ans1[ctr]#scipy.special.betainc(0.5,0.5,x)
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@testset "a=0.5, b=0.5, x=$x" for (x, val) in zip(0.01:0.01:0.99, ans1)
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@test beta_inc(0.5, 0.5, x, 1.0 - x)[1] val # scipy.special.betainc(0.5,0.5,x)
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end
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@testset "a=0.5, b=0.8, x=$x" for (ctr, x) in enumerate(0.01:0.01:0.99)
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@test beta_inc(0.5, 0.8, x, 1.0 - x)[1] ans2[ctr]#scipy.special.betainc(0.5,0.8,x)

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