Merge pull request #345 from quantified-uncertainty/invalid-ops

Change NaN operations to results
This commit is contained in:
Sam Nolan 2022-04-23 14:51:50 -04:00 committed by GitHub
commit dfd2f83c9d
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GPG Key ID: 4AEE18F83AFDEB23
32 changed files with 625 additions and 463 deletions

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@ -30,7 +30,7 @@ let toExt: option<'a> => 'a = E.O.toExt(
describe("sparkline", () => {
let runTest = (
name: string,
dist: GenericDist_Types.genericDist,
dist: DistributionTypes.genericDist,
expected: DistributionOperation.outputType,
) => {
test(name, () => {

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@ -1,14 +1,14 @@
let normalDist5: GenericDist_Types.genericDist = Symbolic(#Normal({mean: 5.0, stdev: 2.0}))
let normalDist10: GenericDist_Types.genericDist = Symbolic(#Normal({mean: 10.0, stdev: 2.0}))
let normalDist20: GenericDist_Types.genericDist = Symbolic(#Normal({mean: 20.0, stdev: 2.0}))
let normalDist: GenericDist_Types.genericDist = normalDist5
let normalDist5: DistributionTypes.genericDist = Symbolic(#Normal({mean: 5.0, stdev: 2.0}))
let normalDist10: DistributionTypes.genericDist = Symbolic(#Normal({mean: 10.0, stdev: 2.0}))
let normalDist20: DistributionTypes.genericDist = Symbolic(#Normal({mean: 20.0, stdev: 2.0}))
let normalDist: DistributionTypes.genericDist = normalDist5
let betaDist: GenericDist_Types.genericDist = Symbolic(#Beta({alpha: 2.0, beta: 5.0}))
let lognormalDist: GenericDist_Types.genericDist = Symbolic(#Lognormal({mu: 0.0, sigma: 1.0}))
let cauchyDist: GenericDist_Types.genericDist = Symbolic(#Cauchy({local: 1.0, scale: 1.0}))
let triangularDist: GenericDist_Types.genericDist = Symbolic(
let betaDist: DistributionTypes.genericDist = Symbolic(#Beta({alpha: 2.0, beta: 5.0}))
let lognormalDist: DistributionTypes.genericDist = Symbolic(#Lognormal({mu: 0.0, sigma: 1.0}))
let cauchyDist: DistributionTypes.genericDist = Symbolic(#Cauchy({local: 1.0, scale: 1.0}))
let triangularDist: DistributionTypes.genericDist = Symbolic(
#Triangular({low: 1.0, medium: 2.0, high: 3.0}),
)
let exponentialDist: GenericDist_Types.genericDist = Symbolic(#Exponential({rate: 2.0}))
let uniformDist: GenericDist_Types.genericDist = Symbolic(#Uniform({low: 9.0, high: 10.0}))
let floatDist: GenericDist_Types.genericDist = Symbolic(#Float(1e1))
let exponentialDist: DistributionTypes.genericDist = Symbolic(#Exponential({rate: 2.0}))
let uniformDist: DistributionTypes.genericDist = Symbolic(#Uniform({low: 9.0, high: 10.0}))
let floatDist: DistributionTypes.genericDist = Symbolic(#Float(1e1))

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@ -43,10 +43,10 @@ describe("(Algebraic) addition of distributions", () => {
test("normal(mean=5) + normal(mean=20)", () => {
normalDist5
->algebraicAdd(normalDist20)
->E.R2.fmap(GenericDist_Types.Constructors.UsingDists.mean)
->E.R2.fmap(DistributionTypes.Constructors.UsingDists.mean)
->E.R2.fmap(run)
->E.R2.fmap(toFloat)
->E.R.toExn
->E.R.toExn("Expected float", _)
->expect
->toBe(Some(2.5e1))
})
@ -57,10 +57,10 @@ describe("(Algebraic) addition of distributions", () => {
let received =
uniformDist
->algebraicAdd(betaDist)
->E.R2.fmap(GenericDist_Types.Constructors.UsingDists.mean)
->E.R2.fmap(DistributionTypes.Constructors.UsingDists.mean)
->E.R2.fmap(run)
->E.R2.fmap(toFloat)
->E.R.toExn
->E.R.toExn("Expected float", _)
switch received {
| None => "algebraicAdd has"->expect->toBe("failed")
// This is nondeterministic, we could be in a situation where ci fails but you click rerun and it passes, which is bad.
@ -74,10 +74,10 @@ describe("(Algebraic) addition of distributions", () => {
let received =
betaDist
->algebraicAdd(uniformDist)
->E.R2.fmap(GenericDist_Types.Constructors.UsingDists.mean)
->E.R2.fmap(DistributionTypes.Constructors.UsingDists.mean)
->E.R2.fmap(run)
->E.R2.fmap(toFloat)
->E.R.toExn
->E.R.toExn("Expected float", _)
switch received {
| None => "algebraicAdd has"->expect->toBe("failed")
// This is nondeterministic, we could be in a situation where ci fails but you click rerun and it passes, which is bad.
@ -95,7 +95,7 @@ describe("(Algebraic) addition of distributions", () => {
let received =
normalDist10 // this should be normal(10, sqrt(8))
->Ok
->E.R2.fmap(d => GenericDist_Types.Constructors.UsingDists.pdf(d, x))
->E.R2.fmap(d => DistributionTypes.Constructors.UsingDists.pdf(d, x))
->E.R2.fmap(run)
->E.R2.fmap(toFloat)
->E.R.toOption
@ -103,7 +103,7 @@ describe("(Algebraic) addition of distributions", () => {
let calculated =
normalDist5
->algebraicAdd(normalDist5)
->E.R2.fmap(d => GenericDist_Types.Constructors.UsingDists.pdf(d, x))
->E.R2.fmap(d => DistributionTypes.Constructors.UsingDists.pdf(d, x))
->E.R2.fmap(run)
->E.R2.fmap(toFloat)
->E.R.toOption
@ -126,7 +126,7 @@ describe("(Algebraic) addition of distributions", () => {
let received =
normalDist20
->Ok
->E.R2.fmap(d => GenericDist_Types.Constructors.UsingDists.pdf(d, 1.9e1))
->E.R2.fmap(d => DistributionTypes.Constructors.UsingDists.pdf(d, 1.9e1))
->E.R2.fmap(run)
->E.R2.fmap(toFloat)
->E.R.toOption
@ -134,7 +134,7 @@ describe("(Algebraic) addition of distributions", () => {
let calculated =
normalDist10
->algebraicAdd(normalDist10)
->E.R2.fmap(d => GenericDist_Types.Constructors.UsingDists.pdf(d, 1.9e1))
->E.R2.fmap(d => DistributionTypes.Constructors.UsingDists.pdf(d, 1.9e1))
->E.R2.fmap(run)
->E.R2.fmap(toFloat)
->E.R.toOption
@ -155,10 +155,10 @@ describe("(Algebraic) addition of distributions", () => {
let received =
uniformDist
->algebraicAdd(betaDist)
->E.R2.fmap(d => GenericDist_Types.Constructors.UsingDists.pdf(d, 1e1))
->E.R2.fmap(d => DistributionTypes.Constructors.UsingDists.pdf(d, 1e1))
->E.R2.fmap(run)
->E.R2.fmap(toFloat)
->E.R.toExn
->E.R.toExn("Expected float", _)
switch received {
| None => "algebraicAdd has"->expect->toBe("failed")
// This is nondeterministic, we could be in a situation where ci fails but you click rerun and it passes, which is bad.
@ -170,10 +170,10 @@ describe("(Algebraic) addition of distributions", () => {
let received =
betaDist
->algebraicAdd(uniformDist)
->E.R2.fmap(d => GenericDist_Types.Constructors.UsingDists.pdf(d, 1e1))
->E.R2.fmap(d => DistributionTypes.Constructors.UsingDists.pdf(d, 1e1))
->E.R2.fmap(run)
->E.R2.fmap(toFloat)
->E.R.toExn
->E.R.toExn("Expected float", _)
switch received {
| None => "algebraicAdd has"->expect->toBe("failed")
// This is nondeterministic, we could be in a situation where ci fails but you click rerun and it passes, which is bad.
@ -187,7 +187,7 @@ describe("(Algebraic) addition of distributions", () => {
let received =
normalDist10
->Ok
->E.R2.fmap(d => GenericDist_Types.Constructors.UsingDists.cdf(d, x))
->E.R2.fmap(d => DistributionTypes.Constructors.UsingDists.cdf(d, x))
->E.R2.fmap(run)
->E.R2.fmap(toFloat)
->E.R.toOption
@ -195,7 +195,7 @@ describe("(Algebraic) addition of distributions", () => {
let calculated =
normalDist5
->algebraicAdd(normalDist5)
->E.R2.fmap(d => GenericDist_Types.Constructors.UsingDists.cdf(d, x))
->E.R2.fmap(d => DistributionTypes.Constructors.UsingDists.cdf(d, x))
->E.R2.fmap(run)
->E.R2.fmap(toFloat)
->E.R.toOption
@ -217,7 +217,7 @@ describe("(Algebraic) addition of distributions", () => {
let received =
normalDist20
->Ok
->E.R2.fmap(d => GenericDist_Types.Constructors.UsingDists.cdf(d, 1.25e1))
->E.R2.fmap(d => DistributionTypes.Constructors.UsingDists.cdf(d, 1.25e1))
->E.R2.fmap(run)
->E.R2.fmap(toFloat)
->E.R.toOption
@ -225,7 +225,7 @@ describe("(Algebraic) addition of distributions", () => {
let calculated =
normalDist10
->algebraicAdd(normalDist10)
->E.R2.fmap(d => GenericDist_Types.Constructors.UsingDists.cdf(d, 1.25e1))
->E.R2.fmap(d => DistributionTypes.Constructors.UsingDists.cdf(d, 1.25e1))
->E.R2.fmap(run)
->E.R2.fmap(toFloat)
->E.R.toOption
@ -246,10 +246,10 @@ describe("(Algebraic) addition of distributions", () => {
let received =
uniformDist
->algebraicAdd(betaDist)
->E.R2.fmap(d => GenericDist_Types.Constructors.UsingDists.cdf(d, 1e1))
->E.R2.fmap(d => DistributionTypes.Constructors.UsingDists.cdf(d, 1e1))
->E.R2.fmap(run)
->E.R2.fmap(toFloat)
->E.R.toExn
->E.R.toExn("Expected float", _)
switch received {
| None => "algebraicAdd has"->expect->toBe("failed")
// This is nondeterministic, we could be in a situation where ci fails but you click rerun and it passes, which is bad.
@ -261,10 +261,10 @@ describe("(Algebraic) addition of distributions", () => {
let received =
betaDist
->algebraicAdd(uniformDist)
->E.R2.fmap(d => GenericDist_Types.Constructors.UsingDists.cdf(d, 1e1))
->E.R2.fmap(d => DistributionTypes.Constructors.UsingDists.cdf(d, 1e1))
->E.R2.fmap(run)
->E.R2.fmap(toFloat)
->E.R.toExn
->E.R.toExn("Expected float", _)
switch received {
| None => "algebraicAdd has"->expect->toBe("failed")
// This is nondeterministic, we could be in a situation where ci fails but you click rerun and it passes, which is bad.
@ -279,7 +279,7 @@ describe("(Algebraic) addition of distributions", () => {
let received =
normalDist10
->Ok
->E.R2.fmap(d => GenericDist_Types.Constructors.UsingDists.inv(d, x))
->E.R2.fmap(d => DistributionTypes.Constructors.UsingDists.inv(d, x))
->E.R2.fmap(run)
->E.R2.fmap(toFloat)
->E.R.toOption
@ -287,7 +287,7 @@ describe("(Algebraic) addition of distributions", () => {
let calculated =
normalDist5
->algebraicAdd(normalDist5)
->E.R2.fmap(d => GenericDist_Types.Constructors.UsingDists.inv(d, x))
->E.R2.fmap(d => DistributionTypes.Constructors.UsingDists.inv(d, x))
->E.R2.fmap(run)
->E.R2.fmap(toFloat)
->E.R.toOption
@ -309,7 +309,7 @@ describe("(Algebraic) addition of distributions", () => {
let received =
normalDist20
->Ok
->E.R2.fmap(d => GenericDist_Types.Constructors.UsingDists.inv(d, 1e-1))
->E.R2.fmap(d => DistributionTypes.Constructors.UsingDists.inv(d, 1e-1))
->E.R2.fmap(run)
->E.R2.fmap(toFloat)
->E.R.toOption
@ -317,7 +317,7 @@ describe("(Algebraic) addition of distributions", () => {
let calculated =
normalDist10
->algebraicAdd(normalDist10)
->E.R2.fmap(d => GenericDist_Types.Constructors.UsingDists.inv(d, 1e-1))
->E.R2.fmap(d => DistributionTypes.Constructors.UsingDists.inv(d, 1e-1))
->E.R2.fmap(run)
->E.R2.fmap(toFloat)
->E.R.toOption
@ -338,10 +338,10 @@ describe("(Algebraic) addition of distributions", () => {
let received =
uniformDist
->algebraicAdd(betaDist)
->E.R2.fmap(d => GenericDist_Types.Constructors.UsingDists.inv(d, 2e-2))
->E.R2.fmap(d => DistributionTypes.Constructors.UsingDists.inv(d, 2e-2))
->E.R2.fmap(run)
->E.R2.fmap(toFloat)
->E.R.toExn
->E.R.toExn("Expected float", _)
switch received {
| None => "algebraicAdd has"->expect->toBe("failed")
// This is nondeterministic, we could be in a situation where ci fails but you click rerun and it passes, which is bad.
@ -353,10 +353,10 @@ describe("(Algebraic) addition of distributions", () => {
let received =
betaDist
->algebraicAdd(uniformDist)
->E.R2.fmap(d => GenericDist_Types.Constructors.UsingDists.inv(d, 2e-2))
->E.R2.fmap(d => DistributionTypes.Constructors.UsingDists.inv(d, 2e-2))
->E.R2.fmap(run)
->E.R2.fmap(toFloat)
->E.R.toExn
->E.R.toExn("Expected float", _)
switch received {
| None => "algebraicAdd has"->expect->toBe("failed")
// This is nondeterministic, we could be in a situation where ci fails but you click rerun and it passes, which is bad.

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@ -15,7 +15,7 @@ open TestHelpers
module Internals = {
let epsilon = 5e1
let mean = GenericDist_Types.Constructors.UsingDists.mean
let mean = DistributionTypes.Constructors.UsingDists.mean
let expectImpossiblePath: string => assertion = algebraicOp =>
`${algebraicOp} has`->expect->toEqual("failed")
@ -50,7 +50,11 @@ module Internals = {
let dist1 = dist1'->DistributionTypes.Symbolic
let dist2 = dist2'->DistributionTypes.Symbolic
let received =
distOp(dist1, dist2)->E.R2.fmap(mean)->E.R2.fmap(run)->E.R2.fmap(toFloat)->E.R.toExn
distOp(dist1, dist2)
->E.R2.fmap(mean)
->E.R2.fmap(run)
->E.R2.fmap(toFloat)
->E.R.toExn("Expected float", _)
let expected = floatOp(runMean(dist1), runMean(dist2))
switch received {
| None => expectImpossiblePath(description)
@ -80,14 +84,16 @@ let {testOperationMean, distributions, pairsOfDifferentDistributions, epsilon} =
describe("Means are invariant", () => {
describe("for addition", () => {
let testAdditionMean = testOperationMean(algebraicAdd, "algebraicAdd", \"+.", ~epsilon)
let testAddInvariant = (t1, t2) =>
E.R.liftM2(testAdditionMean, t1, t2)->E.R.toExn("Means were not invariant", _)
testAll("with two of the same distribution", distributions, dist => {
E.R.liftM2(testAdditionMean, dist, dist)->E.R.toExn
testAddInvariant(dist, dist)
})
testAll("with two different distributions", pairsOfDifferentDistributions, dists => {
let (dist1, dist2) = dists
E.R.liftM2(testAdditionMean, dist1, dist2)->E.R.toExn
testAddInvariant(dist1, dist2)
})
testAll(
@ -95,7 +101,7 @@ describe("Means are invariant", () => {
pairsOfDifferentDistributions,
dists => {
let (dist1, dist2) = dists
E.R.liftM2(testAdditionMean, dist2, dist1)->E.R.toExn
testAddInvariant(dist1, dist2)
},
)
})
@ -107,14 +113,16 @@ describe("Means are invariant", () => {
\"-.",
~epsilon,
)
let testSubtractInvariant = (t1, t2) =>
E.R.liftM2(testSubtractionMean, t1, t2)->E.R.toExn("Means were not invariant", _)
testAll("with two of the same distribution", distributions, dist => {
E.R.liftM2(testSubtractionMean, dist, dist)->E.R.toExn
testSubtractInvariant(dist, dist)
})
testAll("with two different distributions", pairsOfDifferentDistributions, dists => {
let (dist1, dist2) = dists
E.R.liftM2(testSubtractionMean, dist1, dist2)->E.R.toExn
testSubtractInvariant(dist1, dist2)
})
testAll(
@ -122,7 +130,7 @@ describe("Means are invariant", () => {
pairsOfDifferentDistributions,
dists => {
let (dist1, dist2) = dists
E.R.liftM2(testSubtractionMean, dist2, dist1)->E.R.toExn
testSubtractInvariant(dist1, dist2)
},
)
})
@ -134,14 +142,16 @@ describe("Means are invariant", () => {
\"*.",
~epsilon,
)
let testMultiplicationInvariant = (t1, t2) =>
E.R.liftM2(testMultiplicationMean, t1, t2)->E.R.toExn("Means were not invariant", _)
testAll("with two of the same distribution", distributions, dist => {
E.R.liftM2(testMultiplicationMean, dist, dist)->E.R.toExn
testMultiplicationInvariant(dist, dist)
})
testAll("with two different distributions", pairsOfDifferentDistributions, dists => {
let (dist1, dist2) = dists
E.R.liftM2(testMultiplicationMean, dist1, dist2)->E.R.toExn
testMultiplicationInvariant(dist1, dist2)
})
testAll(
@ -149,7 +159,7 @@ describe("Means are invariant", () => {
pairsOfDifferentDistributions,
dists => {
let (dist1, dist2) = dists
E.R.liftM2(testMultiplicationMean, dist2, dist1)->E.R.toExn
testMultiplicationInvariant(dist1, dist2)
},
)
})

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@ -22,7 +22,7 @@ describe("eval on distribution functions", () => {
testEval("mean(-normal(5,2))", "Ok(-5)")
})
describe("to", () => {
testEval("5 to 2", "Error(TODO: Low value must be less than high value.)")
testEval("5 to 2", "Error(Math Error: Low value must be less than high value.)")
testEval("to(2,5)", "Ok(Lognormal(1.1512925464970227,0.27853260523016377))")
testEval("to(-2,2)", "Ok(Normal(0,1.2159136638235384))")
})
@ -88,18 +88,15 @@ describe("eval on distribution functions", () => {
describe("log", () => {
testEval("log(2, uniform(5,8))", "Ok(Sample Set Distribution)")
testEval("log(normal(5,2), 3)", "Ok(Sample Set Distribution)")
testEval("log(normal(5,2), normal(10,1))", "Ok(Sample Set Distribution)")
testEval("log(normal(5,2), 3)", "Error(Math Error: Operation returned complex result)")
testEval(
"log(normal(5,2), normal(10,1))",
"Error(Math Error: Operation returned complex result)",
)
testEval("log(uniform(5,8))", "Ok(Sample Set Distribution)")
testEval("log10(uniform(5,8))", "Ok(Sample Set Distribution)")
})
describe("dotLog", () => {
testEval("dotLog(normal(5,2), 3)", "Ok(Point Set Distribution)")
testEval("dotLog(normal(5,2), 3)", "Ok(Point Set Distribution)")
testEval("dotLog(normal(5,2), normal(10,1))", "Ok(Point Set Distribution)")
})
describe("dotAdd", () => {
testEval("dotAdd(normal(5,2), lognormal(10,2))", "Ok(Point Set Distribution)")
testEval("dotAdd(normal(5,2), 3)", "Ok(Point Set Distribution)")

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@ -12,7 +12,7 @@ describe("Symbolic mean", () => {
expect(squiggleResult.value).toBeCloseTo((x + y + z) / 3);
} catch (err) {
expect((err as Error).message).toEqual(
"Expected squiggle expression to evaluate but got error: TODO: Triangular values must be increasing order."
"Expected squiggle expression to evaluate but got error: Math Error: Triangular values must be increasing order."
);
}
}

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@ -2,6 +2,7 @@
module.exports = {
preset: "ts-jest",
testEnvironment: "node",
bail: true,
setupFilesAfterEnv: [
"<rootdir>/../../node_modules/bisect_ppx/src/runtime/js/jest.bs.js",
],

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@ -1,4 +1,4 @@
type functionCallInfo = GenericDist_Types.Operation.genericFunctionCallInfo
type functionCallInfo = DistributionTypes.DistributionOperation.genericFunctionCallInfo
type genericDist = DistributionTypes.genericDist
type error = DistributionTypes.error
@ -120,7 +120,10 @@ let rec run = (~env, functionCallInfo: functionCallInfo): outputType => {
(),
)->OutputLocal.toDistR
let fromDistFn = (subFnName: GenericDist_Types.Operation.fromDist, dist: genericDist) => {
let fromDistFn = (
subFnName: DistributionTypes.DistributionOperation.fromDist,
dist: genericDist,
) => {
let response = switch subFnName {
| ToFloat(distToFloatOperation) =>
GenericDist.toFloatOperation(dist, ~toPointSetFn, ~distToFloatOperation)
@ -157,14 +160,14 @@ let rec run = (~env, functionCallInfo: functionCallInfo): outputType => {
->GenericDist.algebraicCombination(~toPointSetFn, ~toSampleSetFn, ~arithmeticOperation, ~t2)
->E.R2.fmap(r => Dist(r))
->OutputLocal.fromResult
| ToDistCombination(Pointwise, arithmeticOperation, #Dist(t2)) =>
| ToDistCombination(Pointwise, algebraicCombination, #Dist(t2)) =>
dist
->GenericDist.pointwiseCombination(~toPointSetFn, ~arithmeticOperation, ~t2)
->GenericDist.pointwiseCombination(~toPointSetFn, ~algebraicCombination, ~t2)
->E.R2.fmap(r => Dist(r))
->OutputLocal.fromResult
| ToDistCombination(Pointwise, arithmeticOperation, #Float(float)) =>
| ToDistCombination(Pointwise, algebraicCombination, #Float(f)) =>
dist
->GenericDist.pointwiseCombinationFloat(~toPointSetFn, ~arithmeticOperation, ~float)
->GenericDist.pointwiseCombinationFloat(~toPointSetFn, ~algebraicCombination, ~f)
->E.R2.fmap(r => Dist(r))
->OutputLocal.fromResult
}
@ -192,24 +195,24 @@ module Output = {
let fmap = (
~env,
input: outputType,
functionCallInfo: GenericDist_Types.Operation.singleParamaterFunction,
functionCallInfo: DistributionTypes.DistributionOperation.singleParamaterFunction,
): outputType => {
let newFnCall: result<functionCallInfo, error> = switch (functionCallInfo, input) {
| (FromDist(fromDist), Dist(o)) => Ok(FromDist(fromDist, o))
| (FromFloat(fromDist), Float(o)) => Ok(FromFloat(fromDist, o))
| (_, GenDistError(r)) => Error(r)
| (FromDist(_), _) => Error(Other("Expected dist, got something else"))
| (FromFloat(_), _) => Error(Other("Expected float, got something else"))
| (FromDist(_), _) => Error(OtherError("Expected dist, got something else"))
| (FromFloat(_), _) => Error(OtherError("Expected float, got something else"))
}
newFnCall->E.R2.fmap(run(~env))->OutputLocal.fromResult
}
}
// See comment above GenericDist_Types.Constructors to explain the purpose of this module.
// See comment above DistributionTypes.Constructors to explain the purpose of this module.
// I tried having another internal module called UsingDists, similar to how its done in
// GenericDist_Types.Constructors. However, this broke GenType for me, so beware.
// DistributionTypes.Constructors. However, this broke GenType for me, so beware.
module Constructors = {
module C = GenericDist_Types.Constructors.UsingDists
module C = DistributionTypes.Constructors.UsingDists
open OutputLocal
let mean = (~env, dist) => C.mean(dist)->run(~env)->toFloatR
let sample = (~env, dist) => C.sample(dist)->run(~env)->toFloatR

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@ -4,7 +4,7 @@ type env = {
xyPointLength: int,
}
open GenericDist_Types
open DistributionTypes
@genType
type outputType =
@ -15,15 +15,15 @@ type outputType =
| GenDistError(error)
@genType
let run: (~env: env, GenericDist_Types.Operation.genericFunctionCallInfo) => outputType
let run: (~env: env, DistributionTypes.DistributionOperation.genericFunctionCallInfo) => outputType
let runFromDist: (
~env: env,
~functionCallInfo: GenericDist_Types.Operation.fromDist,
~functionCallInfo: DistributionTypes.DistributionOperation.fromDist,
genericDist,
) => outputType
let runFromFloat: (
~env: env,
~functionCallInfo: GenericDist_Types.Operation.fromDist,
~functionCallInfo: DistributionTypes.DistributionOperation.fromDist,
float,
) => outputType
@ -38,7 +38,7 @@ module Output: {
let toBool: t => option<bool>
let toBoolR: t => result<bool, error>
let toError: t => option<error>
let fmap: (~env: env, t, GenericDist_Types.Operation.singleParamaterFunction) => t
let fmap: (~env: env, t, DistributionTypes.DistributionOperation.singleParamaterFunction) => t
}
module Constructors: {

View File

@ -9,33 +9,51 @@ type error =
| NotYetImplemented
| Unreachable
| DistributionVerticalShiftIsInvalid
| TooFewSamples
| ArgumentError(string)
| Other(string)
| OperationError(Operation.Error.t)
| PointSetConversionError(SampleSetDist.pointsetConversionError)
| SparklineError(PointSetTypes.sparklineError) // This type of error is for when we find a sparkline of a discrete distribution. This should probably at some point be actually implemented
| OtherError(string)
@genType
module Error = {
type t = error
let fromString = (s: string): t => OtherError(s)
@genType
let toString = (err: error): string =>
switch err {
| NotYetImplemented => "Function Not Yet Implemented"
| Unreachable => "Unreachable"
| DistributionVerticalShiftIsInvalid => "Distribution Vertical Shift is Invalid"
| ArgumentError(s) => `Argument Error ${s}`
| TooFewSamples => "Too Few Samples"
| OperationError(err) => Operation.Error.toString(err)
| PointSetConversionError(err) => SampleSetDist.pointsetConversionErrorToString(err)
| SparklineError(err) => PointSetTypes.sparklineErrorToString(err)
| OtherError(s) => s
}
let resultStringToResultError: result<'a, string> => result<'a, error> = n =>
n->E.R2.errMap(r => r->fromString)
let sampleErrorToDistErr = (err: SampleSetDist.sampleSetError): error =>
switch err {
| TooFewSamples => TooFewSamples
}
}
@genType
module DistributionOperation = {
@genType
type pointsetXSelection = [#Linear | #ByWeight]
module Operation = {
type direction =
| Algebraic
| Pointwise
type arithmeticOperation = [
| #Add
| #Multiply
| #Subtract
| #Divide
| #Power
| #Logarithm
]
let arithmeticToFn = (arithmetic: arithmeticOperation) =>
switch arithmetic {
| #Add => \"+."
| #Multiply => \"*."
| #Subtract => \"-."
| #Power => \"**"
| #Divide => \"/."
| #Logarithm => (a, b) => log(a) /. log(b)
}
type toFloat = [
| #Cdf(float)
| #Inv(float)
@ -43,9 +61,7 @@ module Operation = {
| #Mean
| #Sample
]
}
module DistributionOperation = {
type toDist =
| Normalize
| ToPointSet
@ -55,15 +71,18 @@ module DistributionOperation = {
type toFloatArray = Sample(int)
type fromDist =
| ToFloat(Operation.toFloat)
| ToDist(toDist)
| ToDistCombination(
Operation.direction,
Operation.arithmeticOperation,
[#Dist(genericDist) | #Float(float)],
)
type toBool = IsNormalized
type toString =
| ToString
| ToSparkline(int)
type fromDist =
| ToFloat(toFloat)
| ToDist(toDist)
| ToDistCombination(direction, Operation.Algebraic.t, [#Dist(genericDist) | #Float(float)])
| ToString(toString)
| ToBool(toBool)
type singleParamaterFunction =
| FromDist(fromDist)
@ -86,7 +105,9 @@ module DistributionOperation = {
| ToDist(ToSampleSet(r)) => `toSampleSet(${E.I.toString(r)})`
| ToDist(Truncate(_, _)) => `truncate`
| ToDist(Inspect) => `inspect`
| ToString => `toString`
| ToString(ToString) => `toString`
| ToString(ToSparkline(n)) => `toSparkline(${E.I.toString(n)})`
| ToBool(IsNormalized) => `isNormalized`
| ToDistCombination(Algebraic, _, _) => `algebraic`
| ToDistCombination(Pointwise, _, _) => `pointwise`
}
@ -97,3 +118,71 @@ module DistributionOperation = {
| Mixture(_) => `mixture`
}
}
module Constructors = {
type t = DistributionOperation.genericFunctionCallInfo
module UsingDists = {
@genType
let mean = (dist): t => FromDist(ToFloat(#Mean), dist)
let sample = (dist): t => FromDist(ToFloat(#Sample), dist)
let cdf = (dist, x): t => FromDist(ToFloat(#Cdf(x)), dist)
let inv = (dist, x): t => FromDist(ToFloat(#Inv(x)), dist)
let pdf = (dist, x): t => FromDist(ToFloat(#Pdf(x)), dist)
let normalize = (dist): t => FromDist(ToDist(Normalize), dist)
let isNormalized = (dist): t => FromDist(ToBool(IsNormalized), dist)
let toPointSet = (dist): t => FromDist(ToDist(ToPointSet), dist)
let toSampleSet = (dist, r): t => FromDist(ToDist(ToSampleSet(r)), dist)
let truncate = (dist, left, right): t => FromDist(ToDist(Truncate(left, right)), dist)
let inspect = (dist): t => FromDist(ToDist(Inspect), dist)
let toString = (dist): t => FromDist(ToString(ToString), dist)
let toSparkline = (dist, n): t => FromDist(ToString(ToSparkline(n)), dist)
let algebraicAdd = (dist1, dist2: genericDist): t => FromDist(
ToDistCombination(Algebraic, #Add, #Dist(dist2)),
dist1,
)
let algebraicMultiply = (dist1, dist2): t => FromDist(
ToDistCombination(Algebraic, #Multiply, #Dist(dist2)),
dist1,
)
let algebraicDivide = (dist1, dist2): t => FromDist(
ToDistCombination(Algebraic, #Divide, #Dist(dist2)),
dist1,
)
let algebraicSubtract = (dist1, dist2): t => FromDist(
ToDistCombination(Algebraic, #Subtract, #Dist(dist2)),
dist1,
)
let algebraicLogarithm = (dist1, dist2): t => FromDist(
ToDistCombination(Algebraic, #Logarithm, #Dist(dist2)),
dist1,
)
let algebraicPower = (dist1, dist2): t => FromDist(
ToDistCombination(Algebraic, #Power, #Dist(dist2)),
dist1,
)
let pointwiseAdd = (dist1, dist2): t => FromDist(
ToDistCombination(Pointwise, #Add, #Dist(dist2)),
dist1,
)
let pointwiseMultiply = (dist1, dist2): t => FromDist(
ToDistCombination(Pointwise, #Multiply, #Dist(dist2)),
dist1,
)
let pointwiseDivide = (dist1, dist2): t => FromDist(
ToDistCombination(Pointwise, #Divide, #Dist(dist2)),
dist1,
)
let pointwiseSubtract = (dist1, dist2): t => FromDist(
ToDistCombination(Pointwise, #Subtract, #Dist(dist2)),
dist1,
)
let pointwiseLogarithm = (dist1, dist2): t => FromDist(
ToDistCombination(Pointwise, #Logarithm, #Dist(dist2)),
dist1,
)
let pointwisePower = (dist1, dist2): t => FromDist(
ToDistCombination(Pointwise, #Power, #Dist(dist2)),
dist1,
)
}
}

View File

@ -14,7 +14,7 @@ let sampleN = (t: t, n) =>
}
let toSampleSetDist = (t: t, n) =>
SampleSetDist.make(sampleN(t, n))->GenericDist_Types.Error.resultStringToResultError
SampleSetDist.make(sampleN(t, n))->E.R2.errMap(DistributionTypes.Error.sampleErrorToDistErr)
let fromFloat = (f: float): t => Symbolic(SymbolicDist.Float.make(f))
@ -68,7 +68,7 @@ let toPointSet = (
t,
~xyPointLength,
~sampleCount,
~xSelection: GenericDist_Types.Operation.pointsetXSelection=#ByWeight,
~xSelection: DistributionTypes.DistributionOperation.pointsetXSelection=#ByWeight,
(),
): result<PointSetTypes.pointSetDist, error> => {
switch (t: t) {
@ -83,7 +83,7 @@ let toPointSet = (
pointSetDistLength: xyPointLength,
kernelWidth: None,
},
)->GenericDist_Types.Error.resultStringToResultError
)->E.R2.errMap(x => DistributionTypes.PointSetConversionError(x))
}
}
@ -97,7 +97,7 @@ let toSparkline = (t: t, ~sampleCount: int, ~bucketCount: int=20, ()): result<st
t
->toPointSet(~xSelection=#Linear, ~xyPointLength=bucketCount * 3, ~sampleCount, ())
->E.R.bind(r =>
r->PointSetDist.toSparkline(bucketCount)->GenericDist_Types.Error.resultStringToResultError
r->PointSetDist.toSparkline(bucketCount)->E.R2.errMap(x => DistributionTypes.SparklineError(x))
)
module Truncate = {
@ -148,10 +148,10 @@ let truncate = Truncate.run
*/
module AlgebraicCombination = {
let tryAnalyticalSimplification = (
arithmeticOperation: GenericDist_Types.Operation.arithmeticOperation,
arithmeticOperation: Operation.algebraicOperation,
t1: t,
t2: t,
): option<result<SymbolicDistTypes.symbolicDist, string>> =>
): option<result<SymbolicDistTypes.symbolicDist, Operation.Error.t>> =>
switch (arithmeticOperation, t1, t2) {
| (arithmeticOperation, Symbolic(d1), Symbolic(d2)) =>
switch SymbolicDist.T.tryAnalyticalSimplification(d1, d2, arithmeticOperation) {
@ -174,14 +174,14 @@ module AlgebraicCombination = {
let runMonteCarlo = (
toSampleSet: toSampleSetFn,
arithmeticOperation: GenericDist_Types.Operation.arithmeticOperation,
arithmeticOperation: Operation.algebraicOperation,
t1: t,
t2: t,
) => {
): result<t, error> => {
let fn = Operation.Algebraic.toFn(arithmeticOperation)
E.R.merge(toSampleSet(t1), toSampleSet(t2))
->E.R.bind(((t1, t2)) => {
SampleSetDist.map2(~fn, ~t1, ~t2)->GenericDist_Types.Error.resultStringToResultError
SampleSetDist.map2(~fn, ~t1, ~t2)->E.R2.errMap(x => DistributionTypes.OperationError(x))
})
->E.R2.fmap(r => DistributionTypes.SampleSet(r))
}
@ -224,7 +224,7 @@ module AlgebraicCombination = {
): result<t, error> => {
switch tryAnalyticalSimplification(arithmeticOperation, t1, t2) {
| Some(Ok(symbolicDist)) => Ok(Symbolic(symbolicDist))
| Some(Error(e)) => Error(Other(e))
| Some(Error(e)) => Error(OperationError(e))
| None =>
switch chooseConvolutionOrMonteCarlo(arithmeticOperation, t1, t2) {
| MonteCarlo => runMonteCarlo(toSampleSetFn, arithmeticOperation, t1, t2)
@ -241,40 +241,36 @@ let algebraicCombination = AlgebraicCombination.run
let pointwiseCombination = (
t1: t,
~toPointSetFn: toPointSetFn,
~arithmeticOperation,
~algebraicCombination: Operation.algebraicOperation,
~t2: t,
): result<t, error> => {
E.R.merge(toPointSetFn(t1), toPointSetFn(t2))
->E.R2.fmap(((t1, t2)) =>
PointSetDist.combinePointwise(
GenericDist_Types.Operation.arithmeticToFn(arithmeticOperation),
t1,
t2,
)
E.R.merge(toPointSetFn(t1), toPointSetFn(t2))->E.R.bind(((t1, t2)) =>
PointSetDist.combinePointwise(Operation.Algebraic.toFn(algebraicCombination), t1, t2)
->E.R2.fmap(r => DistributionTypes.PointSet(r))
->E.R2.errMap(err => DistributionTypes.OperationError(err))
)
->E.R2.fmap(r => DistributionTypes.PointSet(r))
}
let pointwiseCombinationFloat = (
t: t,
~toPointSetFn: toPointSetFn,
~arithmeticOperation: GenericDist_Types.Operation.arithmeticOperation,
~float: float,
~algebraicCombination: Operation.algebraicOperation,
~f: float,
): result<t, error> => {
let m = switch arithmeticOperation {
let m = switch algebraicCombination {
| #Add | #Subtract => Error(DistributionTypes.DistributionVerticalShiftIsInvalid)
| (#Multiply | #Divide | #Power | #Logarithm) as arithmeticOperation =>
toPointSetFn(t)->E.R2.fmap(t => {
toPointSetFn(t)->E.R.bind(t => {
//TODO: Move to PointSet codebase
let fn = (secondary, main) => Operation.Scale.toFn(arithmeticOperation, main, secondary)
let integralSumCacheFn = Operation.Scale.toIntegralSumCacheFn(arithmeticOperation)
let integralCacheFn = Operation.Scale.toIntegralCacheFn(arithmeticOperation)
PointSetDist.T.mapY(
~integralSumCacheFn=integralSumCacheFn(float),
~integralCacheFn=integralCacheFn(float),
~fn=fn(float),
PointSetDist.T.mapYResult(
~integralSumCacheFn=integralSumCacheFn(f),
~integralCacheFn=integralCacheFn(f),
~fn=fn(f),
t,
)
)->E.R2.errMap(x => DistributionTypes.OperationError(x))
})
}
m->E.R2.fmap(r => DistributionTypes.PointSet(r))
@ -288,7 +284,7 @@ let mixture = (
~pointwiseAddFn: pointwiseAddFn,
) => {
if E.A.length(values) == 0 {
Error(DistributionTypes.Other("Mixture error: mixture must have at least 1 element"))
Error(DistributionTypes.OtherError("Mixture error: mixture must have at least 1 element"))
} else {
let totalWeight = values->E.A2.fmap(E.Tuple2.second)->E.A.Floats.sum
let properlyWeightedValues =

View File

@ -1,5 +1,5 @@
type t = GenericDist_Types.genericDist
type error = GenericDist_Types.error
type t = DistributionTypes.genericDist
type error = DistributionTypes.error
type toPointSetFn = t => result<PointSetTypes.pointSetDist, error>
type toSampleSetFn = t => result<SampleSetDist.t, error>
type scaleMultiplyFn = (t, float) => result<t, error>
@ -28,7 +28,7 @@ let toPointSet: (
t,
~xyPointLength: int,
~sampleCount: int,
~xSelection: GenericDist_Types.Operation.pointsetXSelection=?,
~xSelection: DistributionTypes.DistributionOperation.pointsetXSelection=?,
unit,
) => result<PointSetTypes.pointSetDist, error>
let toSparkline: (t, ~sampleCount: int, ~bucketCount: int=?, unit) => result<string, error>
@ -45,22 +45,22 @@ let algebraicCombination: (
t,
~toPointSetFn: toPointSetFn,
~toSampleSetFn: toSampleSetFn,
~arithmeticOperation: GenericDist_Types.Operation.arithmeticOperation,
~arithmeticOperation: Operation.algebraicOperation,
~t2: t,
) => result<t, error>
let pointwiseCombination: (
t,
~toPointSetFn: toPointSetFn,
~arithmeticOperation: GenericDist_Types.Operation.arithmeticOperation,
~algebraicCombination: Operation.algebraicOperation,
~t2: t,
) => result<t, error>
let pointwiseCombinationFloat: (
t,
~toPointSetFn: toPointSetFn,
~arithmeticOperation: GenericDist_Types.Operation.arithmeticOperation,
~float: float,
~algebraicCombination: Operation.algebraicOperation,
~f: float,
) => result<t, error>
let mixture: (

View File

@ -1,194 +0,0 @@
type genericDist = DistributionTypes.genericDist
@genType
type error = DistributionTypes.error
@genType
module Error = {
type t = error
let fromString = (s: string): t => Other(s)
@genType
let toString = (x: t) => {
switch x {
| NotYetImplemented => "Not Yet Implemented"
| Unreachable => "Unreachable"
| DistributionVerticalShiftIsInvalid => "Distribution Vertical Shift Is Invalid"
| ArgumentError(x) => `Argument Error: ${x}`
| Other(s) => s
}
}
let resultStringToResultError: result<'a, string> => result<'a, error> = n =>
n->E.R2.errMap(r => r->fromString->Error)
}
module Operation = {
type direction =
| Algebraic
| Pointwise
type arithmeticOperation = [
| #Add
| #Multiply
| #Subtract
| #Divide
| #Power
| #Logarithm
]
let arithmeticToFn = (arithmetic: arithmeticOperation) =>
switch arithmetic {
| #Add => \"+."
| #Multiply => \"*."
| #Subtract => \"-."
| #Power => \"**"
| #Divide => \"/."
| #Logarithm => (a, b) => log(a) /. log(b)
}
type toFloat = [
| #Cdf(float)
| #Inv(float)
| #Mean
| #Pdf(float)
| #Sample
]
@genType
type pointsetXSelection = [#Linear | #ByWeight]
type toDist =
| Normalize
| ToPointSet
| ToSampleSet(int)
| Truncate(option<float>, option<float>)
| Inspect
type toFloatArray = Sample(int)
type toString =
| ToString
| ToSparkline(int)
type toBool = IsNormalized
type fromDist =
| ToFloat(toFloat)
| ToDist(toDist)
| ToDistCombination(direction, arithmeticOperation, [#Dist(genericDist) | #Float(float)])
| ToString(toString)
| ToBool(toBool)
type singleParamaterFunction =
| FromDist(fromDist)
| FromFloat(fromDist)
@genType
type genericFunctionCallInfo =
| FromDist(fromDist, genericDist)
| FromFloat(fromDist, float)
| Mixture(array<(genericDist, float)>)
let distCallToString = (distFunction: fromDist): string =>
switch distFunction {
| ToFloat(#Cdf(r)) => `cdf(${E.Float.toFixed(r)})`
| ToFloat(#Inv(r)) => `inv(${E.Float.toFixed(r)})`
| ToFloat(#Mean) => `mean`
| ToFloat(#Pdf(r)) => `pdf(${E.Float.toFixed(r)})`
| ToFloat(#Sample) => `sample`
| ToDist(Normalize) => `normalize`
| ToDist(ToPointSet) => `toPointSet`
| ToDist(ToSampleSet(r)) => `toSampleSet(${E.I.toString(r)})`
| ToDist(Truncate(_, _)) => `truncate`
| ToDist(Inspect) => `inspect`
| ToString(ToString) => `toString`
| ToString(ToSparkline(n)) => `toSparkline(${E.I.toString(n)})`
| ToBool(IsNormalized) => `isNormalized`
| ToDistCombination(Algebraic, _, _) => `algebraic`
| ToDistCombination(Pointwise, _, _) => `pointwise`
}
let toString = (d: genericFunctionCallInfo): string =>
switch d {
| FromDist(f, _) | FromFloat(f, _) => distCallToString(f)
| Mixture(_) => `mixture`
}
}
/*
It can be a pain to write out the genericFunctionCallInfo. The constructors help with this.
This code only covers some of genericFunctionCallInfo: many arguments could be called with either a
float or a distribution. The "UsingDists" module assumes that everything is a distribution.
This is a tradeoff of some generality in order to get a bit more simplicity.
I could see having a longer interface in the future, but it could be messy.
Like, algebraicAddDistFloat vs. algebraicAddDistDist
*/
module Constructors = {
type t = Operation.genericFunctionCallInfo
module UsingDists = {
@genType
let mean = (dist): t => FromDist(ToFloat(#Mean), dist)
let sample = (dist): t => FromDist(ToFloat(#Sample), dist)
let cdf = (dist, x): t => FromDist(ToFloat(#Cdf(x)), dist)
let inv = (dist, x): t => FromDist(ToFloat(#Inv(x)), dist)
let pdf = (dist, x): t => FromDist(ToFloat(#Pdf(x)), dist)
let normalize = (dist): t => FromDist(ToDist(Normalize), dist)
let isNormalized = (dist): t => FromDist(ToBool(IsNormalized), dist)
let toPointSet = (dist): t => FromDist(ToDist(ToPointSet), dist)
let toSampleSet = (dist, r): t => FromDist(ToDist(ToSampleSet(r)), dist)
let truncate = (dist, left, right): t => FromDist(ToDist(Truncate(left, right)), dist)
let inspect = (dist): t => FromDist(ToDist(Inspect), dist)
let toString = (dist): t => FromDist(ToString(ToString), dist)
let toSparkline = (dist, n): t => FromDist(ToString(ToSparkline(n)), dist)
let algebraicAdd = (dist1, dist2: genericDist): t => FromDist(
ToDistCombination(Algebraic, #Add, #Dist(dist2)),
dist1,
)
let algebraicMultiply = (dist1, dist2): t => FromDist(
ToDistCombination(Algebraic, #Multiply, #Dist(dist2)),
dist1,
)
let algebraicDivide = (dist1, dist2): t => FromDist(
ToDistCombination(Algebraic, #Divide, #Dist(dist2)),
dist1,
)
let algebraicSubtract = (dist1, dist2): t => FromDist(
ToDistCombination(Algebraic, #Subtract, #Dist(dist2)),
dist1,
)
let algebraicLogarithm = (dist1, dist2): t => FromDist(
ToDistCombination(Algebraic, #Logarithm, #Dist(dist2)),
dist1,
)
let algebraicPower = (dist1, dist2): t => FromDist(
ToDistCombination(Algebraic, #Power, #Dist(dist2)),
dist1,
)
let pointwiseAdd = (dist1, dist2): t => FromDist(
ToDistCombination(Pointwise, #Add, #Dist(dist2)),
dist1,
)
let pointwiseMultiply = (dist1, dist2): t => FromDist(
ToDistCombination(Pointwise, #Multiply, #Dist(dist2)),
dist1,
)
let pointwiseDivide = (dist1, dist2): t => FromDist(
ToDistCombination(Pointwise, #Divide, #Dist(dist2)),
dist1,
)
let pointwiseSubtract = (dist1, dist2): t => FromDist(
ToDistCombination(Pointwise, #Subtract, #Dist(dist2)),
dist1,
)
let pointwiseLogarithm = (dist1, dist2): t => FromDist(
ToDistCombination(Pointwise, #Logarithm, #Dist(dist2)),
dist1,
)
let pointwisePower = (dist1, dist2): t => FromDist(
ToDistCombination(Pointwise, #Power, #Dist(dist2)),
dist1,
)
}
}

View File

@ -243,10 +243,13 @@ let combineShapesContinuousDiscrete = (
outXYShapes
|> E.A.fmap(XYShape.T.fromZippedArray)
|> E.A.fold_left(
XYShape.PointwiseCombination.combine(
\"+.",
XYShape.XtoY.continuousInterpolator(#Linear, #UseZero),
),
(acc, x) =>
XYShape.PointwiseCombination.combine(
(a, b) => Ok(a +. b),
XYShape.XtoY.continuousInterpolator(#Linear, #UseZero),
acc,
x,
)->E.R.toExn("Error, unexpected failure", _),
XYShape.T.empty,
)
}

View File

@ -88,10 +88,10 @@ let stepwiseToLinear = (t: t): t =>
let combinePointwise = (
~integralSumCachesFn=(_, _) => None,
~distributionType: PointSetTypes.distributionType=#PDF,
fn: (float, float) => float,
fn: (float, float) => result<float, Operation.Error.t>,
t1: PointSetTypes.continuousShape,
t2: PointSetTypes.continuousShape,
): PointSetTypes.continuousShape => {
): result<PointSetTypes.continuousShape, 'e> => {
// If we're adding the distributions, and we know the total of each, then we
// can just sum them up. Otherwise, all bets are off.
let combinedIntegralSum = Common.combineIntegralSums(
@ -119,9 +119,8 @@ let combinePointwise = (
let interpolator = XYShape.XtoY.continuousInterpolator(t1.interpolation, extrapolation)
make(
~integralSumCache=combinedIntegralSum,
XYShape.PointwiseCombination.combine(fn, interpolator, t1.xyShape, t2.xyShape),
XYShape.PointwiseCombination.combine(fn, interpolator, t1.xyShape, t2.xyShape)->E.R2.fmap(x =>
make(~integralSumCache=combinedIntegralSum, x)
)
}
@ -140,13 +139,47 @@ let updateIntegralSumCache = (integralSumCache, t: t): t => {
let updateIntegralCache = (integralCache, t: t): t => {...t, integralCache: integralCache}
let sum = (
~integralSumCachesFn: (float, float) => option<float>=(_, _) => None,
continuousShapes,
): t =>
continuousShapes |> E.A.fold_left(
(x, y) =>
combinePointwise(~integralSumCachesFn, (a, b) => Ok(a +. b), x, y)->E.R.toExn(
"Addition should never fail",
_,
),
empty,
)
let reduce = (
~integralSumCachesFn: (float, float) => option<float>=(_, _) => None,
fn,
fn: (float, float) => result<float, 'e>,
continuousShapes,
) => continuousShapes |> E.A.fold_left(combinePointwise(~integralSumCachesFn, fn), empty)
): result<t, 'e> =>
continuousShapes |> E.A.R.foldM(combinePointwise(~integralSumCachesFn, fn), empty)
let mapY = (~integralSumCacheFn=_ => None, ~integralCacheFn=_ => None, ~fn, t: t) =>
let mapYResult = (
~integralSumCacheFn=_ => None,
~integralCacheFn=_ => None,
~fn: float => result<float, 'e>,
t: t,
): result<t, 'e> =>
XYShape.T.mapYResult(fn, getShape(t))->E.R2.fmap(x =>
make(
~interpolation=t.interpolation,
~integralSumCache=t.integralSumCache |> E.O.bind(_, integralSumCacheFn),
~integralCache=t.integralCache |> E.O.bind(_, integralCacheFn),
x,
)
)
let mapY = (
~integralSumCacheFn=_ => None,
~integralCacheFn=_ => None,
~fn: float => float,
t: t,
): t =>
make(
~interpolation=t.interpolation,
~integralSumCache=t.integralSumCache |> E.O.bind(_, integralSumCacheFn),
@ -170,6 +203,7 @@ module T = Dist({
let minX = shapeFn(XYShape.T.minX)
let maxX = shapeFn(XYShape.T.maxX)
let mapY = mapY
let mapYResult = mapYResult
let updateIntegralCache = updateIntegralCache
let toDiscreteProbabilityMassFraction = _ => 0.0
let toPointSetDist = (t: t): PointSetTypes.pointSetDist => Continuous(t)

View File

@ -49,11 +49,11 @@ let combinePointwise = (
make(
~integralSumCache=combinedIntegralSum,
XYShape.PointwiseCombination.combine(
\"+.",
(a, b) => Ok(a +. b),
XYShape.XtoY.discreteInterpolator,
t1.xyShape,
t2.xyShape,
),
)->E.R.toExn("Addition operation should never fail", _),
)
}
@ -103,7 +103,26 @@ let combineAlgebraically = (op: Operation.convolutionOperation, t1: t, t2: t): t
make(~integralSumCache=combinedIntegralSum, combinedShape)
}
let mapY = (~integralSumCacheFn=_ => None, ~integralCacheFn=_ => None, ~fn, t: t) =>
let mapYResult = (
~integralSumCacheFn=_ => None,
~integralCacheFn=_ => None,
~fn: float => result<float, 'e>,
t: t,
): result<t, 'e> =>
XYShape.T.mapYResult(fn, getShape(t))->E.R2.fmap(x =>
make(
~integralSumCache=t.integralSumCache |> E.O.bind(_, integralSumCacheFn),
~integralCache=t.integralCache |> E.O.bind(_, integralCacheFn),
x,
)
)
let mapY = (
~integralSumCacheFn=_ => None,
~integralCacheFn=_ => None,
~fn: float => float,
t: t,
): t =>
make(
~integralSumCache=t.integralSumCache |> E.O.bind(_, integralSumCacheFn),
~integralCache=t.integralCache |> E.O.bind(_, integralCacheFn),
@ -143,6 +162,7 @@ module T = Dist({
let maxX = shapeFn(XYShape.T.maxX)
let toDiscreteProbabilityMassFraction = _ => 1.0
let mapY = mapY
let mapYResult = mapYResult
let updateIntegralCache = updateIntegralCache
let toPointSetDist = (t: t): PointSetTypes.pointSetDist => Discrete(t)
let toContinuous = _ => None

View File

@ -9,6 +9,12 @@ module type dist = {
~fn: float => float,
t,
) => t
let mapYResult: (
~integralSumCacheFn: float => option<float>=?,
~integralCacheFn: PointSetTypes.continuousShape => option<PointSetTypes.continuousShape>=?,
~fn: float => result<float, 'e>,
t,
) => result<t, 'e>
let xToY: (float, t) => PointSetTypes.mixedPoint
let toPointSetDist: t => PointSetTypes.pointSetDist
let toContinuous: t => option<PointSetTypes.continuousShape>
@ -37,6 +43,7 @@ module Dist = (T: dist) => {
let integral = T.integral
let xTotalRange = (t: t) => maxX(t) -. minX(t)
let mapY = T.mapY
let mapYResult = T.mapYResult
let xToY = T.xToY
let downsample = T.downsample
let toPointSetDist = T.toPointSetDist

View File

@ -146,8 +146,7 @@ module T = Dist({
let discreteIntegral = Continuous.stepwiseToLinear(Discrete.T.Integral.get(t.discrete))
Continuous.make(
XYShape.PointwiseCombination.combine(
\"+.",
XYShape.PointwiseCombination.addCombine(
XYShape.XtoY.continuousInterpolator(#Linear, #UseOutermostPoints),
Continuous.getShape(continuousIntegral),
Continuous.getShape(discreteIntegral),
@ -161,19 +160,20 @@ module T = Dist({
let integralYtoX = (f, t) => t |> integral |> Continuous.getShape |> XYShape.YtoX.linear(f)
// This pipes all ys (continuous and discrete) through fn.
// If mapY is a linear operation, we might be able to update the integralSumCaches as well;
// if not, they'll be set to None.
let mapY = (~integralSumCacheFn=_ => None, ~integralCacheFn=_ => None, ~fn, t: t): t => {
let createMixedFromContinuousDiscrete = (
~integralSumCacheFn=_ => None,
~integralCacheFn=_ => None,
t: t,
discrete: PointSetTypes.discreteShape,
continuous: PointSetTypes.continuousShape,
): t => {
let yMappedDiscrete: PointSetTypes.discreteShape =
t.discrete
|> Discrete.T.mapY(~fn)
discrete
|> Discrete.updateIntegralSumCache(E.O.bind(t.discrete.integralSumCache, integralSumCacheFn))
|> Discrete.updateIntegralCache(E.O.bind(t.discrete.integralCache, integralCacheFn))
let yMappedContinuous: PointSetTypes.continuousShape =
t.continuous
|> Continuous.T.mapY(~fn)
continuous
|> Continuous.updateIntegralSumCache(
E.O.bind(t.continuous.integralSumCache, integralSumCacheFn),
)
@ -187,6 +187,46 @@ module T = Dist({
}
}
// This pipes all ys (continuous and discrete) through fn.
// If mapY is a linear operation, we might be able to update the integralSumCaches as well;
// if not, they'll be set to None.
let mapY = (
~integralSumCacheFn=_ => None,
~integralCacheFn=_ => None,
~fn: float => float,
t: t,
): t => {
let discrete = t.discrete |> Discrete.T.mapY(~fn)
let continuous = t.continuous |> Continuous.T.mapY(~fn)
createMixedFromContinuousDiscrete(
~integralCacheFn,
~integralSumCacheFn,
t,
discrete,
continuous,
)
}
let mapYResult = (
~integralSumCacheFn=_ => None,
~integralCacheFn=_ => None,
~fn: float => result<float, 'e>,
t: t,
): result<t, 'e> => {
E.R.merge(
Discrete.T.mapYResult(~fn, t.discrete),
Continuous.T.mapYResult(~fn, t.continuous),
)->E.R2.fmap(((discreteMapped, continuousMapped)) => {
createMixedFromContinuousDiscrete(
~integralCacheFn,
~integralSumCacheFn,
t,
discreteMapped,
continuousMapped,
)
})
}
let mean = ({discrete, continuous}: t): float => {
let discreteMean = Discrete.T.mean(discrete)
let continuousMean = Continuous.T.mean(continuous)
@ -239,7 +279,7 @@ let combineAlgebraically = (op: Operation.convolutionOperation, t1: t, t2: t): t
let ccConvResult = Continuous.combineAlgebraically(op, t1.continuous, t2.continuous)
let dcConvResult = Continuous.combineAlgebraicallyWithDiscrete(op, t2.continuous, t1.discrete)
let cdConvResult = Continuous.combineAlgebraicallyWithDiscrete(op, t1.continuous, t2.discrete)
let continuousConvResult = Continuous.reduce(\"+.", [ccConvResult, dcConvResult, cdConvResult])
let continuousConvResult = Continuous.sum([ccConvResult, dcConvResult, cdConvResult])
// ... finally, discrete (*) discrete => discrete, obviously:
let discreteConvResult = Discrete.combineAlgebraically(op, t1.discrete, t2.discrete)
@ -261,10 +301,10 @@ let combineAlgebraically = (op: Operation.convolutionOperation, t1: t, t2: t): t
let combinePointwise = (
~integralSumCachesFn=(_, _) => None,
~integralCachesFn=(_, _) => None,
fn,
fn: (float, float) => result<float, 'e>,
t1: t,
t2: t,
): t => {
): result<t, 'e> => {
let reducedDiscrete =
[t1, t2] |> E.A.fmap(toDiscrete) |> E.A.O.concatSomes |> Discrete.reduce(~integralSumCachesFn)
@ -285,11 +325,12 @@ let combinePointwise = (
t1.integralCache,
t2.integralCache,
)
make(
~integralSumCache=combinedIntegralSum,
~integralCache=combinedIntegral,
~discrete=reducedDiscrete,
~continuous=reducedContinuous,
reducedContinuous->E.R2.fmap(continuous =>
make(
~integralSumCache=combinedIntegralSum,
~integralCache=combinedIntegral,
~discrete=reducedDiscrete,
~continuous,
)
)
}

View File

@ -16,6 +16,13 @@ let fmap = ((fn1, fn2, fn3), t: t): t =>
| Continuous(m) => Continuous(fn3(m))
}
let fmapResult = ((fn1, fn2, fn3), t: t): result<t, 'e> =>
switch t {
| Mixed(m) => fn1(m)->E.R2.fmap(x => PointSetTypes.Mixed(x))
| Discrete(m) => fn2(m)->E.R2.fmap(x => PointSetTypes.Discrete(x))
| Continuous(m) => fn3(m)->E.R2.fmap(x => PointSetTypes.Continuous(x))
}
let toMixed = mapToAll((
m => m,
d =>
@ -53,19 +60,28 @@ let combinePointwise = (
PointSetTypes.continuousShape,
PointSetTypes.continuousShape,
) => option<PointSetTypes.continuousShape>=(_, _) => None,
fn,
fn: (float, float) => result<float, Operation.Error.t>,
t1: t,
t2: t,
) =>
): result<PointSetTypes.pointSetDist, Operation.Error.t> =>
switch (t1, t2) {
| (Continuous(m1), Continuous(m2)) =>
PointSetTypes.Continuous(Continuous.combinePointwise(~integralSumCachesFn, fn, m1, m2))
Continuous.combinePointwise(
~integralSumCachesFn,
fn,
m1,
m2,
)->E.R2.fmap(x => PointSetTypes.Continuous(x))
| (Discrete(m1), Discrete(m2)) =>
PointSetTypes.Discrete(Discrete.combinePointwise(~integralSumCachesFn, m1, m2))
Ok(PointSetTypes.Discrete(Discrete.combinePointwise(~integralSumCachesFn, m1, m2)))
| (m1, m2) =>
PointSetTypes.Mixed(
Mixed.combinePointwise(~integralSumCachesFn, ~integralCachesFn, fn, toMixed(m1), toMixed(m2)),
)
Mixed.combinePointwise(
~integralSumCachesFn,
~integralCachesFn,
fn,
toMixed(m1),
toMixed(m2),
)->E.R2.fmap(x => PointSetTypes.Mixed(x))
}
module T = Dist({
@ -130,13 +146,26 @@ module T = Dist({
let integralYtoX = f =>
mapToAll((Mixed.T.Integral.yToX(f), Discrete.T.Integral.yToX(f), Continuous.T.Integral.yToX(f)))
let maxX = mapToAll((Mixed.T.maxX, Discrete.T.maxX, Continuous.T.maxX))
let mapY = (~integralSumCacheFn=_ => None, ~integralCacheFn=_ => None, ~fn) =>
let mapY = (~integralSumCacheFn=_ => None, ~integralCacheFn=_ => None, ~fn: float => float): (
t => t
) =>
fmap((
Mixed.T.mapY(~integralSumCacheFn, ~integralCacheFn, ~fn),
Discrete.T.mapY(~integralSumCacheFn, ~integralCacheFn, ~fn),
Continuous.T.mapY(~integralSumCacheFn, ~integralCacheFn, ~fn),
))
let mapYResult = (
~integralSumCacheFn=_ => None,
~integralCacheFn=_ => None,
~fn: float => result<float, 'e>,
): (t => result<t, 'e>) =>
fmapResult((
Mixed.T.mapYResult(~integralSumCacheFn, ~integralCacheFn, ~fn),
Discrete.T.mapYResult(~integralSumCacheFn, ~integralCacheFn, ~fn),
Continuous.T.mapYResult(~integralSumCacheFn, ~integralCacheFn, ~fn),
))
let mean = (t: t): float =>
switch t {
| Mixed(m) => Mixed.T.mean(m)
@ -195,8 +224,8 @@ let operate = (distToFloatOp: Operation.distToFloatOperation, s): float =>
| #Mean => T.mean(s)
}
let toSparkline = (t: t, bucketCount) =>
let toSparkline = (t: t, bucketCount): result<string, PointSetTypes.sparklineError> =>
T.toContinuous(t)
->E.O2.fmap(Continuous.downsampleEquallyOverX(bucketCount))
->E.O2.toResult("toContinous Error: Could not convert into continuous distribution")
->E.O2.toResult(PointSetTypes.CannotSparklineDiscrete)
->E.R2.fmap(r => Continuous.getShape(r).ys->Sparklines.create())

View File

@ -94,3 +94,11 @@ module MixedPoint = {
let add = combine2((a, b) => a +. b)
}
@genType
type sparklineError = CannotSparklineDiscrete
let sparklineErrorToString = (err: sparklineError): string =>
switch err {
| CannotSparklineDiscrete => "Cannot find the sparkline of a discrete distribution"
}

View File

@ -1,3 +1,24 @@
@genType
module Error = {
@genType
type sampleSetError = TooFewSamples
let sampleSetErrorToString = (err: sampleSetError): string =>
switch err {
| TooFewSamples => "Too few samples when constructing sample set"
}
@genType
type pointsetConversionError = TooFewSamplesForConversionToPointSet
let pointsetConversionErrorToString = (err: pointsetConversionError) =>
switch err {
| TooFewSamplesForConversionToPointSet => "Too Few Samples to convert to point set"
}
}
include Error
/*
This is used as a smart constructor. The only way to create a SampleSetDist.t is to call
this constructor.
@ -8,7 +29,7 @@ module T: {
//When we get a good functional library in TS, we could refactor that out.
@genType
type t = array<float>
let make: array<float> => result<t, string>
let make: array<float> => result<t, sampleSetError>
let get: t => array<float>
} = {
type t = array<float>
@ -16,7 +37,7 @@ module T: {
if E.A.length(a) > 5 {
Ok(a)
} else {
Error("too small")
Error(TooFewSamples)
}
let get = (a: t) => a
}
@ -31,13 +52,13 @@ some refactoring.
*/
let toPointSetDist = (~samples: t, ~samplingInputs: SamplingInputs.samplingInputs): result<
PointSetTypes.pointSetDist,
string,
pointsetConversionError,
> =>
SampleSetDist_ToPointSet.toPointSetDist(
~samples=get(samples),
~samplingInputs,
(),
).pointSetDist->E.O2.toResult("Failed to convert to PointSetDist")
).pointSetDist->E.O2.toResult(TooFewSamplesForConversionToPointSet)
//Randomly get one sample from the distribution
let sample = (t: t): float => {
@ -62,7 +83,18 @@ let sampleN = (t: t, n) => {
}
//TODO: Figure out what to do if distributions are different lengths. ``zip`` is kind of inelegant for this.
let map2 = (~fn: (float, float) => float, ~t1: t, ~t2: t) => {
let map2 = (~fn: (float, float) => result<float, Operation.Error.t>, ~t1: t, ~t2: t): result<
t,
Operation.Error.t,
> => {
let samples = Belt.Array.zip(get(t1), get(t2))->E.A2.fmap(((a, b)) => fn(a, b))
make(samples)
// This assertion should never be reached. In order for it to be reached, one
// of the input parameters would need to be a sample set distribution with less
// than 6 samples. Which should be impossible due to the smart constructor.
// I could prove this to the type system (say, creating a {first: float, second: float, ..., fifth: float, rest: array<float>}
// But doing so would take too much time, so I'll leave it as an assertion
E.A.R.firstErrorOrOpen(samples)->E.R2.fmap(x =>
E.R.toExn("Input of samples should be larger than 5", make(x))
)
}

View File

@ -83,7 +83,7 @@ let toPointSetDist = (
~samples: Internals.T.t,
~samplingInputs: SamplingInputs.samplingInputs,
(),
) => {
): Internals.Types.outputs => {
Array.fast_sort(compare, samples)
let (continuousPart, discretePart) = E.A.Sorted.Floats.split(samples)
let length = samples |> E.A.length |> float_of_int

View File

@ -379,7 +379,7 @@ module T = {
): analyticalSimplificationResult =>
switch (d1, d2) {
| (#Float(v1), #Float(v2)) =>
switch Operation.Algebraic.applyFn(op, v1, v2) {
switch Operation.Algebraic.toFn(op, v1, v2) {
| Ok(r) => #AnalyticalSolution(#Float(r))
| Error(n) => #Error(n)
}

View File

@ -45,6 +45,6 @@ type symbolicDist = [
type analyticalSimplificationResult = [
| #AnalyticalSolution(symbolicDist)
| #Error(string)
| #Error(Operation.Error.t)
| #NoSolution
]

View File

@ -9,6 +9,7 @@ type errorValue =
| RERecordPropertyNotFound(string, string)
| RESymbolNotFound(string)
| RESyntaxError(string)
| REDistributionError(DistributionTypes.error)
| RETodo(string) // To do
type t = errorValue
@ -20,6 +21,7 @@ let errorToString = err =>
| REAssignmentExpected => "Assignment expected"
| REExpressionExpected => "Expression expected"
| REFunctionExpected(msg) => `Function expected: ${msg}`
| REDistributionError(err) => `Math Error: ${DistributionTypes.Error.toString(err)}`
| REJavaScriptExn(omsg, oname) => {
let answer = "JS Exception:"
let answer = switch oname {

View File

@ -10,7 +10,7 @@ type rec expressionValue =
| EvArray(array<expressionValue>)
| EvBool(bool)
| EvCall(string) // External function call
| EvDistribution(GenericDist_Types.genericDist)
| EvDistribution(DistributionTypes.genericDist)
| EvNumber(float)
| EvRecord(Js.Dict.t<expressionValue>)
| EvString(string)

View File

@ -24,13 +24,12 @@ module Helpers = {
| "dotPow" => #Power
| "multiply" => #Multiply
| "dotMultiply" => #Multiply
| "dotLog" => #Logarithm
| _ => #Multiply
}
let catchAndConvertTwoArgsToDists = (args: array<expressionValue>): option<(
GenericDist_Types.genericDist,
GenericDist_Types.genericDist,
DistributionTypes.genericDist,
DistributionTypes.genericDist,
)> => {
switch args {
| [EvDistribution(a), EvDistribution(b)] => Some((a, b))
@ -41,33 +40,41 @@ module Helpers = {
}
let toFloatFn = (
fnCall: GenericDist_Types.Operation.toFloat,
dist: GenericDist_Types.genericDist,
fnCall: DistributionTypes.DistributionOperation.toFloat,
dist: DistributionTypes.genericDist,
) => {
FromDist(GenericDist_Types.Operation.ToFloat(fnCall), dist)->runGenericOperation->Some
FromDist(DistributionTypes.DistributionOperation.ToFloat(fnCall), dist)
->runGenericOperation
->Some
}
let toStringFn = (
fnCall: GenericDist_Types.Operation.toString,
dist: GenericDist_Types.genericDist,
fnCall: DistributionTypes.DistributionOperation.toString,
dist: DistributionTypes.genericDist,
) => {
FromDist(GenericDist_Types.Operation.ToString(fnCall), dist)->runGenericOperation->Some
FromDist(DistributionTypes.DistributionOperation.ToString(fnCall), dist)
->runGenericOperation
->Some
}
let toBoolFn = (
fnCall: GenericDist_Types.Operation.toBool,
dist: GenericDist_Types.genericDist,
fnCall: DistributionTypes.DistributionOperation.toBool,
dist: DistributionTypes.genericDist,
) => {
FromDist(GenericDist_Types.Operation.ToBool(fnCall), dist)->runGenericOperation->Some
FromDist(DistributionTypes.DistributionOperation.ToBool(fnCall), dist)
->runGenericOperation
->Some
}
let toDistFn = (fnCall: GenericDist_Types.Operation.toDist, dist) => {
FromDist(GenericDist_Types.Operation.ToDist(fnCall), dist)->runGenericOperation->Some
let toDistFn = (fnCall: DistributionTypes.DistributionOperation.toDist, dist) => {
FromDist(DistributionTypes.DistributionOperation.ToDist(fnCall), dist)
->runGenericOperation
->Some
}
let twoDiststoDistFn = (direction, arithmetic, dist1, dist2) => {
FromDist(
GenericDist_Types.Operation.ToDistCombination(
DistributionTypes.DistributionOperation.ToDistCombination(
direction,
arithmeticMap(arithmetic),
#Dist(dist2),
@ -84,7 +91,7 @@ module Helpers = {
let parseNumberArray = (ags: array<expressionValue>): Belt.Result.t<array<float>, string> =>
E.A.fmap(parseNumber, ags) |> E.A.R.firstErrorOrOpen
let parseDist = (args: expressionValue): Belt.Result.t<GenericDist_Types.genericDist, string> =>
let parseDist = (args: expressionValue): Belt.Result.t<DistributionTypes.genericDist, string> =>
switch args {
| EvDistribution(x) => Ok(x)
| EvNumber(x) => Ok(GenericDist.fromFloat(x))
@ -92,12 +99,12 @@ module Helpers = {
}
let parseDistributionArray = (ags: array<expressionValue>): Belt.Result.t<
array<GenericDist_Types.genericDist>,
array<DistributionTypes.genericDist>,
string,
> => E.A.fmap(parseDist, ags) |> E.A.R.firstErrorOrOpen
let mixtureWithGivenWeights = (
distributions: array<GenericDist_Types.genericDist>,
distributions: array<DistributionTypes.genericDist>,
weights: array<float>,
): DistributionOperation.outputType =>
E.A.length(distributions) == E.A.length(weights)
@ -107,7 +114,7 @@ module Helpers = {
)
let mixtureWithDefaultWeights = (
distributions: array<GenericDist_Types.genericDist>,
distributions: array<DistributionTypes.genericDist>,
): DistributionOperation.outputType => {
let length = E.A.length(distributions)
let weights = Belt.Array.make(length, 1.0 /. Belt.Int.toFloat(length))
@ -165,7 +172,7 @@ module SymbolicConstructors = {
): option<DistributionOperation.outputType> =>
switch symbolicResult {
| Ok(r) => Some(Dist(Symbolic(r)))
| Error(r) => Some(GenDistError(Other(r)))
| Error(r) => Some(GenDistError(OtherError(r)))
}
}
@ -235,15 +242,12 @@ let dispatchToGenericOutput = (call: ExpressionValue.functionCall): option<
| "dotMultiply"
| "dotSubtract"
| "dotDivide"
| "dotPow"
| "dotLog") as arithmetic,
| "dotPow") as arithmetic,
[_, _] as args,
) =>
Helpers.catchAndConvertTwoArgsToDists(args)->E.O2.fmap(((fst, snd)) =>
Helpers.twoDiststoDistFn(Pointwise, arithmetic, fst, snd)
)
| ("dotLog", [EvDistribution(a)]) =>
Helpers.twoDiststoDistFn(Pointwise, "dotLog", a, GenericDist.fromFloat(Math.e))->Some
| ("dotExp", [EvDistribution(a)]) =>
Helpers.twoDiststoDistFn(Pointwise, "dotPow", GenericDist.fromFloat(Math.e), a)->Some
| _ => None
@ -259,12 +263,7 @@ let genericOutputToReducerValue = (o: DistributionOperation.outputType): result<
| Float(d) => Ok(EvNumber(d))
| String(d) => Ok(EvString(d))
| Bool(d) => Ok(EvBool(d))
| GenDistError(NotYetImplemented) => Error(RETodo("Function not yet implemented"))
| GenDistError(Unreachable) => Error(RETodo("Unreachable"))
| GenDistError(DistributionVerticalShiftIsInvalid) =>
Error(RETodo("Distribution Vertical Shift Is Invalid"))
| GenDistError(ArgumentError(err)) => Error(RETodo("Argument Error: " ++ err))
| GenDistError(Other(s)) => Error(RETodo(s))
| GenDistError(err) => Error(REDistributionError(err))
}
let dispatch = call => {

View File

@ -53,4 +53,4 @@ type continuousShape = PointSetTypes.continuousShape
let errorValueToString = Reducer_ErrorValue.errorToString
@genType
let distributionErrorToString = GenericDist_Types.Error.toString
let distributionErrorToString = DistributionTypes.Error.toString

View File

@ -152,13 +152,20 @@ module I = {
let toString = Js.Int.toString
}
exception Assertion(string)
/* R for Result */
module R = {
let result = Rationale.Result.result
let id = e => e |> result(U.id, U.id)
let fmap = Rationale.Result.fmap
let bind = Rationale.Result.bind
let toExn = Belt.Result.getExn
let toExn = (msg: string, x: result<'a, 'b>): 'a =>
switch x {
| Ok(r) => r
| Error(_) => raise(Assertion(msg))
}
let default = (default, res: Belt.Result.t<'a, 'b>) =>
switch res {
| Ok(r) => r
@ -185,6 +192,7 @@ module R = {
| Ok(f) => fmap(f, a)
| Error(err) => Error(err)
}
// (a1 -> a2 -> r) -> m a1 -> m a2 -> m r // not in Rationale
let liftM2: (('a, 'b) => 'c, result<'a, 'd>, result<'b, 'd>) => result<'c, 'd> = (op, xR, yR) => {
ap'(fmap(op, xR), yR)
@ -210,10 +218,10 @@ module R2 = {
let bind = (a, b) => R.bind(b, a)
//Converts result type to change error type only
let errMap = (a, map) =>
let errMap = (a: result<'a, 'b>, map: 'b => 'c): result<'a, 'c> =>
switch a {
| Ok(r) => Ok(r)
| Error(e) => map(e)
| Error(e) => Error(map(e))
}
let fmap2 = (xR, f) =>
@ -436,6 +444,32 @@ module A = {
r |> Belt.Array.map(_, r => Belt.Result.getExn(r))
bringErrorUp |> Belt.Result.map(_, forceOpen)
}
let filterOk = (x: array<result<'a, 'b>>): array<'a> => fmap(R.toOption, x)->O.concatSomes
let forM = (x: array<'a>, fn: 'a => result<'b, 'c>): result<array<'b>, 'c> =>
firstErrorOrOpen(fmap(fn, x))
let foldM = (fn: ('c, 'a) => result<'b, 'e>, init: 'c, x: array<'a>): result<'c, 'e> => {
let acc = ref(init)
let final = ref(Ok())
let break = ref(false)
let i = ref(0)
while break.contents != true && i.contents < length(x) {
switch fn(acc.contents, x[i.contents]) {
| Ok(r) => acc := r
| Error(err) => {
final := Error(err)
break := true
}
}
i := i.contents + 1
}
switch final.contents {
| Ok(_) => Ok(acc.contents)
| Error(err) => Error(err)
}
}
}
module Sorted = {

View File

@ -37,22 +37,59 @@ module Convolution = {
}
}
module Algebraic = {
type t = algebraicOperation
let toFn: (t, float, float) => float = x =>
switch x {
| #Add => \"+."
| #Subtract => \"-."
| #Multiply => \"*."
| #Power => \"**"
| #Divide => \"/."
| #Logarithm => (a, b) => log(a) /. log(b)
}
type operationError =
| DivisionByZeroError
| ComplexNumberError
let applyFn = (t, f1, f2) =>
switch (t, f1, f2) {
| (#Divide, _, 0.) => Error("Cannot divide $v1 by zero.")
| _ => Ok(toFn(t, f1, f2))
@genType
module Error = {
@genType
type t = operationError
let toString = (err: t): string =>
switch err {
| DivisionByZeroError => "Cannot divide by zero"
| ComplexNumberError => "Operation returned complex result"
}
}
let power = (a: float, b: float): result<float, Error.t> =>
if a >= 0.0 {
Ok(a ** b)
} else {
Error(ComplexNumberError)
}
let divide = (a: float, b: float): result<float, Error.t> =>
if b != 0.0 {
Ok(a /. b)
} else {
Error(DivisionByZeroError)
}
let logarithm = (a: float, b: float): result<float, Error.t> =>
if b == 1. {
Error(DivisionByZeroError)
} else if b == 0. {
Ok(0.)
} else if a > 0.0 && b > 0.0 {
Ok(log(a) /. log(b))
} else {
Error(ComplexNumberError)
}
@genType
module Algebraic = {
@genType
type t = algebraicOperation
let toFn: (t, float, float) => result<float, Error.t> = (x, a, b) =>
switch x {
| #Add => Ok(a +. b)
| #Subtract => Ok(a -. b)
| #Multiply => Ok(a *. b)
| #Power => power(a, b)
| #Divide => divide(a, b)
| #Logarithm => logarithm(a, b)
}
let toString = x =>
@ -96,12 +133,12 @@ module DistToFloat = {
// Note that different logarithms don't really do anything.
module Scale = {
type t = scaleOperation
let toFn = x =>
let toFn = (x: t, a: float, b: float): result<float, Error.t> =>
switch x {
| #Multiply => \"*."
| #Divide => \"/."
| #Power => \"**"
| #Logarithm => (a, b) => log(a) /. log(b)
| #Multiply => Ok(a *. b)
| #Divide => divide(a, b)
| #Power => power(a, b)
| #Logarithm => logarithm(a, b)
}
let format = (operation: t, value, scaleBy) =>

View File

@ -43,6 +43,10 @@ module T = {
let xTotalRange = (t: t) => maxX(t) -. minX(t)
let mapX = (fn, t: t): t => {xs: E.A.fmap(fn, t.xs), ys: t.ys}
let mapY = (fn, t: t): t => {xs: t.xs, ys: E.A.fmap(fn, t.ys)}
let mapYResult = (fn: float => result<float, 'e>, t: t): result<t, 'e> => {
let mappedYs = E.A.fmap(fn, t.ys)
E.A.R.firstErrorOrOpen(mappedYs)->E.R2.fmap(y => {xs: t.xs, ys: y})
}
let square = mapX(x => x ** 2.0)
let zip = ({xs, ys}: t) => Belt.Array.zip(xs, ys)
let fromArray = ((xs, ys)): t => {xs: xs, ys: ys}
@ -229,7 +233,12 @@ module Zipped = {
module PointwiseCombination = {
// t1Interpolator and t2Interpolator are functions from XYShape.XtoY, e.g. linearBetweenPointsExtrapolateFlat.
let combine: ((float, float) => float, interpolator, T.t, T.t) => T.t = %raw(`
let combine: (
(float, float) => result<float, Operation.Error.t>,
interpolator,
T.t,
T.t,
) => result<T.t, Operation.Error.t> = %raw(`
// This function combines two xyShapes by looping through both of them simultaneously.
// It always moves on to the next smallest x, whether that's in the first or second input's xs,
// and interpolates the value on the other side, thus accumulating xs and ys.
@ -277,13 +286,28 @@ module PointwiseCombination = {
}
outX.push(x);
outY.push(fn(ya, yb));
// Here I check whether the operation was a success. If it was
// keep going. Otherwise, stop and throw the error back to user
let newY = fn(ya, yb);
if(newY.TAG === 0){
outY.push(newY._0);
}
else {
return newY;
}
}
return {xs: outX, ys: outY};
return {TAG: 0, _0: {xs: outX, ys: outY}, [Symbol.for("name")]: "Ok"};
}
`)
let addCombine = (interpolator: interpolator, t1: T.t, t2: T.t): T.t =>
combine((a, b) => Ok(a +. b), interpolator, t1, t2)->E.R.toExn(
"Add operation should never fail",
_,
)
let combineEvenXs = (~fn, ~xToYSelection, sampleCount, t1: T.t, t2: T.t) =>
switch (E.A.length(t1.xs), E.A.length(t2.xs)) {
| (0, 0) => T.empty

View File

@ -255,16 +255,6 @@ dist2 = triangular(1,2,3)
dist1 .^ dist2`}
/>
### Pointwise logarithm
TODO: write about the semantics and the case handling re scalar vs. dist and log base.
<SquiggleEditor
initialSquiggleString={`dist1 = 1 to 10
dist2 = triangular(1,2,3)
dotLog(dist1, dist2)`}
/>
## Standard functions on distributions
### Probability density function