bincdf_ts100_test.go

package fixed

import "testing"

var bincdfTestCases_100 = []BinCDFCase{
	{
		n:   91,
		x:   10,
		p:   0.10500215104453339,
		cdf: 0.6417765472300323,
		s:   "+0'a44b77c1b15a90/56",
	},
	{
		n:   91,
		x:   62,
		p:   0.44897837076069524,
		cdf: 0.9999976129971369,
		s:   "+0'ffffd7f3e698b0/56",
	},
	{
		n:   91,
		x:   34,
		p:   0.5472942428328025,
		cdf: 0.0006417729711287991,
		s:   "+0'002a0f29ec2601/56",
	},
	{
		n:   91,
		x:   81,
		p:   0.5481335489335352,
		cdf: 0.9999999999997258,
		s:   "+0'ffffffffffb2d0/56",
	},
	{
		n:   91,
		x:   74,
		p:   0.7173877665258833,
		cdf: 0.986910611943529,
		s:   "+0'fca62c825f7018/56",
	},
	{
		n:   64,
		x:   6,
		p:   0.10595944388761408,
		cdf: 0.4760310219506413,
		s:   "+0'79dd2b4728d288/56",
	},
	{
		n:   64,
		x:   45,
		p:   0.446532178678148,
		cdf: 0.999990449263827,
		s:   "+0'ffff5fc3e68620/56",
	},
	{
		n:   64,
		x:   40,
		p:   0.4053071939367727,
		cdf: 0.9998774136214171,
		s:   "+0'fff7f757835758/56",
	},
	{
		n:   64,
		x:   48,
		p:   0.5432039225844807,
		cdf: 0.9998033587600839,
		s:   "+0'fff31ce84e3640/56",
	},
	{
		n:   64,
		x:   53,
		p:   0.8089882961206434,
		cdf: 0.7000057795262447,
		s:   "+0'b333942a138250/56",
	},
	{
		n:   38,
		x:   6,
		p:   0.21785313677518178,
		cdf: 0.24871118805496217,
		s:   "+0'3fab8952d86a10/56",
	},
	{
		n:   38,
		x:   19,
		p:   0.5517614734259535,
		cdf: 0.3148808064381218,
		s:   "+0'509c074dca32e8/56",
	},
	{
		n:   38,
		x:   14,
		p:   0.5396278789976454,
		cdf: 0.025314053476267577,
		s:   "+0'067afb57cf4cb7/56",
	},
	{
		n:   38,
		x:   29,
		p:   0.45557426833432835,
		cdf: 0.9999727861704804,
		s:   "+0'fffe376d7e01c0/56",
	},
	{
		n:   38,
		x:   34,
		p:   0.8914426144413563,
		cdf: 0.6028815419646607,
		s:   "+0'9a5671da19ab40/56",
	},
	{
		n:   53,
		x:   5,
		p:   0.11854916867602958,
		cdf: 0.38890226490558305,
		s:   "+0'638f194d1c1c5c/56",
	},
	{
		n:   53,
		x:   29,
		p:   0.47179587609692575,
		cdf: 0.8918491680152445,
		s:   "+0'e4503a21971ce0/56",
	},
	{
		n:   53,
		x:   28,
		p:   0.5207452062733783,
		cdf: 0.5969353875714873,
		s:   "+0'98d0c1ef71d2d0/56",
	},
	{
		n:   53,
		x:   35,
		p:   0.5459463573387636,
		cdf: 0.9662240331804673,
		s:   "+0'f75a754f1e8c28/56",
	},
	{
		n:   53,
		x:   44,
		p:   0.7249652325706419,
		cdf: 0.9741845140848678,
		s:   "+0'f9642804439fe8/56",
	},
	{
		n:   58,
		x:   5,
		p:   0.21040812625464542,
		cdf: 0.01009886537221305,
		s:   "+0'0295d6d88017b8/56",
	},
	{
		n:   58,
		x:   55,
		p:   0.5257279598988888,
		cdf: 0.999999999999911,
		s:   "+0'ffffffffffe6f0/56",
	},
	{
		n:   58,
		x:   30,
		p:   0.5154704290513524,
		cdf: 0.5622977383912134,
		s:   "+0'8ff2be9d014958/56",
	},
	{
		n:   58,
		x:   40,
		p:   0.40916487673113244,
		cdf: 0.9999956702612344,
		s:   "+0'ffffb75be9e1c8/56",
	},
	{
		n:   58,
		x:   52,
		p:   0.8546136681577384,
		cdf: 0.8655372471371283,
		s:   "+0'dd93d959ec8080/56",
	},
	{
		n:   20,
		x:   2,
		p:   0.273296733351054,
		cdf: 0.05971351615650333,
		s:   "+0'0f49628f057728/56",
	},
	{
		n:   20,
		x:   16,
		p:   0.45559472062201845,
		cdf: 0.9996672891391021,
		s:   "+0'ffea3209bbc160/56",
	},
	{
		n:   20,
		x:   11,
		p:   0.5668220853281501,
		cdf: 0.5252167978800542,
		s:   "+0'86749baa346590/56",
	},
	{
		n:   20,
		x:   13,
		p:   0.47403619342337655,
		cdf: 0.9646955446392785,
		s:   "+0'f6f64986d29688/56",
	},
	{
		n:   20,
		x:   18,
		p:   0.8340350348755388,
		cdf: 0.8679013186269016,
		s:   "+0'de2ec7e3a866c0/56",
	},
	{
		n:   99,
		x:   10,
		p:   0.22182620113339765,
		cdf: 0.0014360997475819258,
		s:   "+0'005e1dc1731ccd/56",
	},
	{
		n:   99,
		x:   59,
		p:   0.5068279754059416,
		cdf: 0.969915439981393,
		s:   "+0'f84c60d69b0440/56",
	},
	{
		n:   99,
		x:   48,
		p:   0.4326804987523857,
		cdf: 0.8745129743166937,
		s:   "+0'dfe015109e2de0/56",
	},
	{
		n:   99,
		x:   82,
		p:   0.7439230347940539,
		cdf: 0.9826683762252783,
		s:   "+0'fb90279ab37458/56",
	},
	{
		n:   51,
		x:   5,
		p:   0.1458096143928209,
		cdf: 0.22713350902031348,
		s:   "+0'3a256bf1116650/56",
	},
	{
		n:   51,
		x:   26,
		p:   0.561009160154243,
		cdf: 0.2746272414096259,
		s:   "+0'464df88c71ee28/56",
	},
	{
		n:   51,
		x:   29,
		p:   0.45354817519514057,
		cdf: 0.9631332766555709,
		s:   "+0'f68fe704eccca0/56",
	},
	{
		n:   51,
		x:   40,
		p:   0.582627224837109,
		cdf: 0.9992801354556762,
		s:   "+0'ffd0d2ad5317a0/56",
	},
	{
		n:   51,
		x:   42,
		p:   0.8752735252945338,
		cdf: 0.17916447284220272,
		s:   "+0'2dddb90f765bf8/56",
	},
	{
		n:   50,
		x:   6,
		p:   0.23108773305897598,
		cdf: 0.03824588242065498,
		s:   "+0'09ca7b6e341059/56",
	},
	{
		n:   50,
		x:   37,
		p:   0.5769366307773406,
		cdf: 0.9944880768108142,
		s:   "+0'fe96c5462a1500/56",
	},
	{
		n:   50,
		x:   30,
		p:   0.4285743180884125,
		cdf: 0.9950354524826084,
		s:   "+0'febaa4b6c5fb40/56",
	},
	{
		n:   50,
		x:   36,
		p:   0.4493255015387967,
		cdf: 0.9999709753437687,
		s:   "+0'fffe190c0cfb40/56",
	},
	{
		n:   50,
		x:   41,
		p:   0.8077954579334582,
		cdf: 0.6427940667842773,
		s:   "+0'a48e26e6e6bc50/56",
	},
	{
		n:   84,
		x:   14,
		p:   0.2795645767204954,
		cdf: 0.011564127219758098,
		s:   "+0'02f5dddc373479/56",
	},
	{
		n:   84,
		x:   67,
		p:   0.4723992887427222,
		cdf: 0.9999999997938667,
		s:   "+0'ffffffff1d5aa0/56",
	},
	{
		n:   84,
		x:   32,
		p:   0.5019052587352929,
		cdf: 0.017221932699812828,
		s:   "+0'0468a815b8384d/56",
	},
	{
		n:   84,
		x:   58,
		p:   0.5511564315067475,
		cdf: 0.9967234306120473,
		s:   "+0'ff294449a2bb28/56",
	},
	{
		n:   84,
		x:   75,
		p:   0.7305682638696522,
		cdf: 0.9999280451613721,
		s:   "+0'fffb48cc524100/56",
	},
	{
		n:   30,
		x:   6,
		p:   0.21928180614639478,
		cdf: 0.5030651611097599,
		s:   "+0'80c8e0deb93010/56",
	},
	{
		n:   30,
		x:   21,
		p:   0.47632385730130744,
		cdf: 0.9961388109396384,
		s:   "+0'ff02f3ff431748/56",
	},
	{
		n:   30,
		x:   17,
		p:   0.5058228690198274,
		cdf: 0.8018271359297834,
		s:   "+0'cd448b0ddd1fc8/56",
	},
	{
		n:   30,
		x:   28,
		p:   0.5721559404468997,
		cdf: 0.9999987547257307,
		s:   "+0'ffffeb1b967610/56",
	},
	{
		n:   30,
		x:   27,
		p:   0.8360566820513038,
		cdf: 0.8903133681373786,
		s:   "+0'e3eb93af577658/56",
	},
	{
		n:   24,
		x:   4,
		p:   0.2769576900258218,
		cdf: 0.16388414681008467,
		s:   "+0'29f44fbae1d650/56",
	},
	{
		n:   24,
		x:   16,
		p:   0.5537197465314893,
		cdf: 0.9078270375199218,
		s:   "+0'e8675a4c9297d0/56",
	},
	{
		n:   24,
		x:   13,
		p:   0.4223104347191753,
		cdf: 0.9169807199777468,
		s:   "+0'eabf3f9b5df0d8/56",
	},
	{
		n:   24,
		x:   22,
		p:   0.431631550868934,
		cdf: 0.9999999429870298,
		s:   "+0'ffffff0b219388/56",
	},
	{
		n:   24,
		x:   22,
		p:   0.8907631855042161,
		cdf: 0.7544489926729763,
		s:   "+0'c12391b607d3e0/56",
	},
	{
		n:   43,
		x:   8,
		p:   0.2523924398104129,
		cdf: 0.20715943758163421,
		s:   "+0'350866a1788b16/56",
	},
	{
		n:   43,
		x:   37,
		p:   0.5825255678689641,
		cdf: 0.9999822123279402,
		s:   "+0'fffed59287bd38/56",
	},
	{
		n:   43,
		x:   27,
		p:   0.5250600387132836,
		cdf: 0.9345072497829781,
		s:   "+0'ef3bddfbb15af0/56",
	},
	{
		n:   43,
		x:   41,
		p:   0.527789898973201,
		cdf: 0.9999999999540682,
		s:   "+0'ffffffffcd7f58/56",
	},
	{
		n:   43,
		x:   35,
		p:   0.7397822203529467,
		cdf: 0.9041406375201428,
		s:   "+0'e775c2c52233e0/56",
	},
	{
		n:   57,
		x:   6,
		p:   0.20787580602392516,
		cdf: 0.03336667617874889,
		s:   "+0'088ab7eef6c558/56",
	},
	{
		n:   57,
		x:   52,
		p:   0.5844868161236549,
		cdf: 0.9999999942937882,
		s:   "+0'ffffffe77df428/56",
	},
	{
		n:   57,
		x:   19,
		p:   0.5197889168920459,
		cdf: 0.0034767525454997197,
		s:   "+0'00e3da3a7aad3f/56",
	},
	{
		n:   57,
		x:   50,
		p:   0.8757443755646369,
		cdf: 0.5731861210094591,
		s:   "+0'92bc535c41b8c0/56",
	},
	{
		n:   49,
		x:   5,
		p:   0.11158503329883751,
		cdf: 0.5297621431741435,
		s:   "+0'879e7de7978140/56",
	},
	{
		n:   49,
		x:   42,
		p:   0.5893898890595989,
		cdf: 0.9999889373819867,
		s:   "+0'ffff46666adc58/56",
	},
	{
		n:   49,
		x:   18,
		p:   0.5463815189689256,
		cdf: 0.00884546229598033,
		s:   "+0'0243b23b477c0c/56",
	},
	{
		n:   49,
		x:   34,
		p:   0.5955968987354668,
		cdf: 0.9412100523536362,
		s:   "+0'f0f32459867b10/56",
	},
	{
		n:   49,
		x:   41,
		p:   0.8531668858613977,
		cdf: 0.43237727458695674,
		s:   "+0'6eb046ede27490/56",
	},
	{
		n:   100,
		x:   1,
		p:   0.01,
		cdf: 0.7357619789229559,
		s:   "+0'bc5ae5a51d4530/56",
	},
	{
		n:   100,
		x:   2,
		p:   0.01,
		cdf: 0.9206267977478195,
		s:   "+0'ebae32a425e950/56",
	},
	{
		n:   100,
		x:   3,
		p:   0.01,
		cdf: 0.9816259635553503,
		s:   "+0'fb4bd6d25fed78/56",
	},
	{
		n:   100,
		x:   4,
		p:   0.01,
		cdf: 0.9965676784122455,
		s:   "+0'ff1f0f3307ff50/56",
	},
	{
		n:   100,
		x:   5,
		p:   0.01,
		cdf: 0.999465465536007,
		s:   "+0'ffdcf7fff56488/56",
	},
	{
		n:   100,
		x:   6,
		p:   0.01,
		cdf: 0.9999289163386288,
		s:   "+0'fffb5769ffc708/56",
	},
	{
		n:   100,
		x:   7,
		p:   0.01,
		cdf: 0.9999917797952614,
		s:   "+0'ffff76167d4ea8/56",
	},
	{
		n:   100,
		x:   8,
		p:   0.01,
		cdf: 0.9999991614890327,
		s:   "+0'fffff1ee9f7100/56",
	},
	{
		n:   100,
		x:   9,
		p:   0.01,
		cdf: 0.9999999236841247,
		s:   "+0'fffffeb839cec8/56",
	},
	{
		n:   100,
		x:   10,
		p:   0.01,
		cdf: 0.9999999937444816,
		s:   "+0'ffffffe521fc18/56",
	},
	{
		n:   100,
		x:   11,
		p:   0.01,
		cdf: 0.9999999995345937,
		s:   "+0'fffffffe0047c8/56",
	},
	{
		n:   100,
		x:   12,
		p:   0.01,
		cdf: 0.9999999999683648,
		s:   "+0'ffffffffdd3778/56",
	},
	{
		n:   100,
		x:   13,
		p:   0.01,
		cdf: 0.9999999999980244,
		s:   "+0'fffffffffdd3e8/56",
	},
	{
		n:   100,
		x:   14,
		p:   0.01,
		cdf: 0.9999999999998861,
		s:   "+0'ffffffffffdff0/56",
	},
	{
		n:   100,
		x:   15,
		p:   0.01,
		cdf: 0.9999999999999939,
		s:   "+0'fffffffffffe48/56",
	},
	{
		n:   100,
		x:   1,
		p:   0.02,
		cdf: 0.4032717107820062,
		s:   "+0'673cd09935ef98/56",
	},
	{
		n:   100,
		x:   2,
		p:   0.02,
		cdf: 0.6766856223517784,
		s:   "+0'ad3b44d9ac9e98/56",
	},
	{
		n:   100,
		x:   3,
		p:   0.02,
		cdf: 0.858961563398295,
		s:   "+0'dbe4e7af5113c0/56",
	},
	{
		n:   100,
		x:   4,
		p:   0.02,
		cdf: 0.9491695546304996,
		s:   "+0'f2fcc6a37f3398/56",
	},
	{
		n:   100,
		x:   5,
		p:   0.02,
		cdf: 0.9845163593582206,
		s:   "+0'fc09439dd20ef8/56",
	},
	{
		n:   100,
		x:   6,
		p:   0.02,
		cdf: 0.9959379459198991,
		s:   "+0'fef5ca0a924630/56",
	},
	{
		n:   100,
		x:   7,
		p:   0.02,
		cdf: 0.9990680600213504,
		s:   "+0'ffc2eca44515e0/56",
	},
	{
		n:   100,
		x:   8,
		p:   0.02,
		cdf: 0.9998106636219498,
		s:   "+0'fff3977672c5d8/56",
	},
	{
		n:   100,
		x:   9,
		p:   0.02,
		cdf: 0.999965583193957,
		s:   "+0'fffdbe94f19098/56",
	},
	{
		n:   100,
		x:   10,
		p:   0.02,
		cdf: 0.9999943539716154,
		s:   "+0'ffffa1467e23f0/56",
	},
	{
		n:   100,
		x:   11,
		p:   0.02,
		cdf: 0.9999991579975696,
		s:   "+0'fffff1dfa08980/56",
	},
	{
		n:   100,
		x:   12,
		p:   0.02,
		cdf: 0.9999998851375523,
		s:   "+0'fffffe12ab6738/56",
	},
	{
		n:   100,
		x:   13,
		p:   0.02,
		cdf: 0.9999999855901717,
		s:   "+0'ffffffc21c39e8/56",
	},
	{
		n:   100,
		x:   14,
		p:   0.02,
		cdf: 0.9999999983297896,
		s:   "+0'fffffff8d39590/56",
	},
	{
		n:   100,
		x:   15,
		p:   0.02,
		cdf: 0.9999999998204115,
		s:   "+0'ffffffff3a8a58/56",
	},
	{
		n:   100,
		x:   16,
		p:   0.02,
		cdf: 0.9999999999820224,
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	{
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	{
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	{
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	{
		n:   100,
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	{
		n:   100,
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	{
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	{
		n:   100,
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	{
		n:   100,
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		n:   100,
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	{
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	{
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	{
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	{
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	{
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	{
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	{
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	{
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	{
		n:   100,
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		s:   "+0'ffffffffd654b0/56",
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	{
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		s:   "+0'fffffffff6e2a8/56",
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	{
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	{
		n:   100,
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		s:   "+0'ffffffffffa490/56",
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	{
		n:   100,
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		s:   "+0'ffffffffffefb8/56",
	},
	{
		n:   100,
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		cdf: 0.9999999999999905,
		s:   "+0'fffffffffffd50/56",
	},
	{
		n:   100,
		x:   86,
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		cdf: 0.9999999999999986,
		s:   "+0'ffffffffffff98/56",
	},
}

func Benchmark_Fixed_BinCDF_100(b *testing.B) {
	for i := 0; i < b.N; i++ {
		tc := bincdfTestCases_100[i%len(bincdfTestCases_100)]
		bincdfResultFix = BinCDF64(tc.n, From(tc.p), tc.x)
	}

	bincdfResultFix.lo++
}

func Benchmark_Float_BinCDF_100(b *testing.B) {
	for i := 0; i < b.N; i++ {
		tc := bincdfTestCases_100[i%len(bincdfTestCases_100)]
		bincdfResultFlt = bincdf_(tc.n, tc.p, tc.x)
	}

	bincdfResultFlt++
}

func TestFixed_BinCDF_100(t *testing.T) {
	acc := accuracy{Epsilon: 1e-14}
	for i, tc := range bincdfTestCases_100 {
		p := From(tc.p)
		got := BinCDF64(tc.n, p, tc.x)
		if ok := acc.update(got, tc.cdf); !ok {
			t.Errorf("%d: BinCDF(%v,%v,%v) => got %v|%v, want %v|%v", i, tc.n, tc.p, tc.x, got, got.Float(), From(tc.cdf), tc.cdf)
		}
	}
	t.Log(acc)
}