squiggle/packages/squiggle-lang/__tests__/Distributions/Mixture_test.res

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2022-04-07 02:24:00 +00:00
open Jest
open Expect
let env: DistributionOperation.env = {
sampleCount: 1000,
xyPointLength: 100,
}
let {toFloat, toDist, toString, toError} = module(DistributionOperation.Output)
let {run} = module(DistributionOperation)
let {fmap} = module(DistributionOperation.Output)
let run = run(~env)
let outputMap = fmap(~env)
let toExt: option<'a> => 'a = E.O.toExt(
"Should be impossible to reach (This error is in test file)",
)
let unpackFloat = x => x -> toFloat -> toExt
let mkNormal = (mean, stdev) => GenericDist_Types.Symbolic(#Normal({mean: mean, stdev: stdev}))
let mkBeta = (alpha, beta) => GenericDist_Types.Symbolic(#Beta({alpha: alpha, beta: beta}))
let mkExponential = rate => GenericDist_Types.Symbolic(#Exponential({rate: rate}))
describe("mixture", () => {
testAll("fair mean of two normal distributions", list{(0.0, 1e2), (-1e1, -1e-4), (-1e1, 1e2), (-1e1, 1e1)}, tup => { // should be property
let (mean1, mean2) = tup
let theMean = {
run(Mixture([(mkNormal(mean1, 9e-1), 0.5), (mkNormal(mean2, 9e-1), 0.5)]))
-> outputMap(FromDist(ToFloat(#Mean)))
}
theMean -> unpackFloat -> expect -> toBeSoCloseTo((mean1 +. mean2) /. 2.0, ~digits=-1) // the .56 is arbitrary? should be 15.0 with a looser tolerance?
})
testAll(
"weighted mean of a beta and an exponential",
// This would not survive property testing, it was easy for me to find cases that NaN'd out.
list{((128.0, 1.0), 2.0), ((2e-1, 64.0), 16.0), ((1e0, 1e0), 64.0)},
tup => {
let (betaParams, rate) = tup
let (alpha, beta) = betaParams
let theMean = {
run(Mixture(
[
(mkBeta(alpha, beta), 0.25),
(mkExponential(rate), 0.75)
]
)) -> outputMap(FromDist(ToFloat(#Mean)))
}
theMean
-> unpackFloat
-> expect
-> toBeSoCloseTo(
0.25 *. 1.0 /. (1.0 +. beta /. alpha) +. 0.75 *. 1.0 /. rate,
~digits=-1
)
}
)
})