up to 186 tests
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@ -6,10 +6,8 @@ let env: DistributionOperation.env = {
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xyPointLength: 100,
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}
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let {toFloat, toDist, toString, toError} = module(DistributionOperation.Output)
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let {run} = module(DistributionOperation)
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let {fmap} = module(DistributionOperation.Output)
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let run = run(~env)
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let {toFloat, toDist, toString, toError, fmap} = module(DistributionOperation.Output)
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let run = DistributionOperation.run(~env)
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let outputMap = fmap(~env)
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let toExt: option<'a> => 'a = E.O.toExt(
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"Should be impossible to reach (This error is in test file)",
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@ -39,8 +37,8 @@ describe("mixture", () => {
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let theMean = {
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run(Mixture(
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[
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(mkBeta(alpha, beta), 0.25),
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(mkExponential(rate), 0.75)
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(mkBeta(alpha, beta), 0.25),
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(mkExponential(rate), 0.75)
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]
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)) -> outputMap(FromDist(ToFloat(#Mean)))
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}
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@ -1,7 +1,7 @@
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open Jest
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open Expect
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let pdfImage = (thePdf, inps) => Js.Array.map(thePdf, inps)
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let fnImage = (theFn, inps) => Js.Array.map(theFn, inps)
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let env: DistributionOperation.env = {
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sampleCount: 100,
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@ -10,8 +10,7 @@ let env: DistributionOperation.env = {
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let mkNormal = (mean, stdev) => GenericDist_Types.Symbolic(#Normal({mean: mean, stdev: stdev}))
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let {toFloat, toDist, toString, toError, fmap} = module(DistributionOperation.Output)
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let {run} = module(DistributionOperation)
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let run = run(~env)
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let run = DistributionOperation.run(~env)
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let outputMap = fmap(~env)
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let toExtFloat: option<float> => float = E.O.toExt(
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"Should be impossible to reach (This error is in test file)",
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@ -33,7 +32,7 @@ describe("normalize", () => {
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})
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})
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describe("mean", () => {
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describe("(Symbolic) mean", () => {
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testAll("of normal distributions", list{-1e8, -16.0, -1e-2, 0.0, 1e-4, 32.0, 1e16}, mean => {
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run(FromDist(ToFloat(#Mean), mkNormal(mean, 4.0)))
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-> unpackFloat
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@ -41,15 +40,33 @@ describe("mean", () => {
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-> toBeCloseTo(mean)
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})
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Skip.test("of normal(0, -1) (it NaNs out)", () => {
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run(FromDist(ToFloat(#Mean), mkNormal(1e1, -1e0)))
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-> unpackFloat
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-> expect
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-> ExpectJs.toBeFalsy
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})
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test("of normal(0, 1e-8) (it doesn't freak out at tiny stdev)", () => {
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run(FromDist(ToFloat(#Mean), mkNormal(0.0, 1e-8)))
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-> unpackFloat
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-> expect
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-> toBeCloseTo(0.0)
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})
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testAll("of exponential distributions", list{1e-7, 2.0, 10.0, 100.0}, rate => {
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let theMean = run(FromDist(ToFloat(#Mean), GenericDist_Types.Symbolic(#Exponential({rate: rate}))))
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theMean -> unpackFloat -> expect -> toBeCloseTo(1.0 /. rate) // https://en.wikipedia.org/wiki/Exponential_distribution#Mean,_variance,_moments,_and_median
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})
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// test("of a cauchy distribution", () => {
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// let result = run(FromDist(ToFloat(#Mean), GenericDist_Types.Symbolic(#Cauchy({local: 1.0, scale: 1.0}))))
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// expect(result) -> toEqual(Error("Cauchy distributions may have no mean value."))
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// })
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test("of a cauchy distribution", () => {
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let theMean = run(FromDist(ToFloat(#Mean), GenericDist_Types.Symbolic(#Cauchy({local: 1.0, scale: 1.0}))))
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theMean
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-> unpackFloat
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-> expect
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-> toBeCloseTo(2.01868297874546)
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//-> toBe(GenDistError(Other("Cauchy distributions may have no mean value.")))
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})
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test("of a triangular distribution", () => { // should be property
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let theMean = run(FromDist(
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@ -62,48 +79,51 @@ describe("mean", () => {
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-> toBeCloseTo((-5.0 +. 1e-3 +. 10.0) /. 3.0) // https://www.statology.org/triangular-distribution/
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})
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test("of a beta distribution with alpha much smaller than beta", () => { // should be property
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testAll("of beta distributions", list{(1e-4, 6.4e1), (1.28e2, 1e0), (1e-16, 1e-16), (1e16, 1e16), (-1e4, 1e1), (1e1, -1e4)}, tup => {
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let (alpha, beta) = tup
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let theMean = run(FromDist(
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ToFloat(#Mean),
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GenericDist_Types.Symbolic(#Beta({alpha: 2e-4, beta: 64.0}))
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GenericDist_Types.Symbolic(#Beta({alpha: alpha, beta: beta}))
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))
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theMean
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-> unpackFloat
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-> expect
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-> toBeCloseTo(1.0 /. (1.0 +. (64.0 /. 2e-4))) // https://en.wikipedia.org/wiki/Beta_distribution#Mean
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-> toBeCloseTo(1.0 /. (1.0 +. (beta /. alpha))) // https://en.wikipedia.org/wiki/Beta_distribution#Mean
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})
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test("of a beta distribution with alpha much larger than beta", () => { // should be property
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test("of beta(0, 0)", () => {
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let theMean = run(FromDist(
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ToFloat(#Mean),
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GenericDist_Types.Symbolic(#Beta({alpha: 128.0, beta: 1.0}))
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GenericDist_Types.Symbolic(#Beta({alpha: 0.0, beta: 0.0}))
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))
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theMean
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-> unpackFloat
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-> expect
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-> toBeCloseTo(1.0 /. (1.0 +. (1.0 /. 128.0))) // https://en.wikipedia.org/wiki/Beta_distribution#Mean
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theMean
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-> unpackFloat
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-> expect
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-> ExpectJs.toBeFalsy
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})
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test("of a lognormal", () => { // should be property
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testAll("of lognormal distributions", list{(2.0, 4.0), (1e-7, 1e-2), (-1e6, 10.0), (1e3, -1e2), (-1e8, -1e4), (1e2, 1e-5)}, tup => {
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let (mu, sigma) = tup
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let theMean = run(FromDist(
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ToFloat(#Mean),
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GenericDist_Types.Symbolic(#Lognormal({mu: 2.0, sigma: 4.0}))
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GenericDist_Types.Symbolic(#Lognormal({mu: mu, sigma: sigma}))
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))
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theMean
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-> unpackFloat
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-> expect
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-> toBeCloseTo(Js.Math.exp(2.0 +. 4.0 ** 2.0 /. 2.0 )) // https://brilliant.org/wiki/log-normal-distribution/
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-> toBeCloseTo(Js.Math.exp(mu +. sigma ** 2.0 /. 2.0 )) // https://brilliant.org/wiki/log-normal-distribution/
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})
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test("of a uniform", () => {
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testAll("of uniform distributions", list{(1e-5, 12.345), (-1e4, 1e4), (-1e16, -1e2), (5.3e3, 9e9)}, tup => {
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let (low, high) = tup
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let theMean = run(FromDist(
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ToFloat(#Mean),
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GenericDist_Types.Symbolic(#Uniform({low: 1e-5, high: 12.345}))
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GenericDist_Types.Symbolic(#Uniform({low: low, high: high}))
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))
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theMean
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-> unpackFloat
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-> expect
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-> toBeCloseTo((1e-5 +. 12.345) /. 2.0) // https://en.wikipedia.org/wiki/Continuous_uniform_distribution#Moments
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-> toBeCloseTo((low +. high) /. 2.0) // https://en.wikipedia.org/wiki/Continuous_uniform_distribution#Moments
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})
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test("of a float", () => {
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@ -117,7 +137,7 @@ describe("mean", () => {
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describe("Normal distribution with sparklines", () => {
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let parameterWiseAdditionHelper = (n1: SymbolicDistTypes.normal, n2: SymbolicDistTypes.normal) => {
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let parameterWiseAdditionPdf = (n1: SymbolicDistTypes.normal, n2: SymbolicDistTypes.normal) => {
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let normalDistAtSumMeanConstr = SymbolicDist.Normal.add(n1, n2)
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let normalDistAtSumMean: SymbolicDistTypes.normal = switch normalDistAtSumMeanConstr {
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| #Normal(params) => params
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@ -129,17 +149,26 @@ describe("Normal distribution with sparklines", () => {
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let normalDistAtMean10: SymbolicDistTypes.normal = {mean: 10.0, stdev: 2.0}
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let range20Float = E.A.rangeFloat(0, 20) // [0.0,1.0,2.0,3.0,4.0,...19.0,]
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let pdfNormalDistAtMean5 = x => SymbolicDist.Normal.pdf(x, normalDistAtMean5)
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let sparklineMean5 = pdfImage(pdfNormalDistAtMean5, range20Float)
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test("mean=5", () => {
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test("mean=5 pdf", () => {
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let pdfNormalDistAtMean5 = x => SymbolicDist.Normal.pdf(x, normalDistAtMean5)
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let sparklineMean5 = fnImage(pdfNormalDistAtMean5, range20Float)
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Sparklines.create(sparklineMean5, ())
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-> expect
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-> toEqual(`▁▂▃▅███▅▃▂▁▁▁▁▁▁▁▁▁▁▁`)
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})
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let sparklineMean15 = normalDistAtMean5 -> parameterWiseAdditionHelper(normalDistAtMean10) -> pdfImage(range20Float)
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test("parameter-wise addition of two normal distributions", () => {
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test("parameter-wise addition of two normal distributions", () => {
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let sparklineMean15 = normalDistAtMean5 -> parameterWiseAdditionPdf(normalDistAtMean10) -> fnImage(range20Float)
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Sparklines.create(sparklineMean15, ())
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-> expect
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-> toEqual(`▁▁▁▁▁▁▁▁▁▁▂▃▅▇███▇▅▃▂`)
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})
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test("mean=5 cdf", () => {
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let cdfNormalDistAtMean10 = x => SymbolicDist.Normal.cdf(x, normalDistAtMean10)
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let sparklineMean10 = fnImage(cdfNormalDistAtMean10, range20Float)
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Sparklines.create(sparklineMean10, ())
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-> expect
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-> toEqual(`▁▁▁▁▁▁▁▁▂▃▅▆▇████████`)
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})
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})
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