2022-04-01 00:24:59 +00:00
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module ExpressionValue = ReducerInterface_ExpressionValue
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type expressionValue = ReducerInterface_ExpressionValue.expressionValue
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2022-04-04 15:59:14 +00:00
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let runGenericOperation = DistributionOperation.run(
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2022-04-01 19:41:11 +00:00
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~env={
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sampleCount: 1000,
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xyPointLength: 1000,
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},
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)
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2022-04-01 00:24:59 +00:00
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2022-04-01 19:41:11 +00:00
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module Helpers = {
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let arithmeticMap = r =>
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switch r {
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| "add" => #Add
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| "dotAdd" => #Add
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| "subtract" => #Subtract
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| "dotSubtract" => #Subtract
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| "divide" => #Divide
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| "log" => #Logarithm
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| "dotDivide" => #Divide
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2022-04-09 16:37:26 +00:00
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| "pow" => #Power
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| "dotPow" => #Power
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| "multiply" => #Multiply
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| "dotMultiply" => #Multiply
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| "dotLog" => #Logarithm
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| _ => #Multiply
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}
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2022-04-01 00:24:59 +00:00
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2022-04-01 19:41:11 +00:00
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let catchAndConvertTwoArgsToDists = (args: array<expressionValue>): option<(
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GenericDist_Types.genericDist,
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GenericDist_Types.genericDist,
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)> => {
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switch args {
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| [EvDistribution(a), EvDistribution(b)] => Some((a, b))
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| [EvNumber(a), EvDistribution(b)] => Some((GenericDist.fromFloat(a), b))
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| [EvDistribution(a), EvNumber(b)] => Some((a, GenericDist.fromFloat(b)))
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| _ => None
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}
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2022-04-01 00:24:59 +00:00
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}
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2022-04-01 19:41:11 +00:00
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let toFloatFn = (
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fnCall: GenericDist_Types.Operation.toFloat,
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dist: GenericDist_Types.genericDist,
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) => {
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FromDist(GenericDist_Types.Operation.ToFloat(fnCall), dist)->runGenericOperation->Some
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2022-04-01 00:24:59 +00:00
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}
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2022-04-08 13:08:49 +00:00
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let toStringFn = (
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fnCall: GenericDist_Types.Operation.toString,
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dist: GenericDist_Types.genericDist,
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) => {
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FromDist(GenericDist_Types.Operation.ToString(fnCall), dist)->runGenericOperation->Some
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}
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2022-04-01 19:41:11 +00:00
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let toDistFn = (fnCall: GenericDist_Types.Operation.toDist, dist) => {
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FromDist(GenericDist_Types.Operation.ToDist(fnCall), dist)->runGenericOperation->Some
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}
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2022-04-01 00:24:59 +00:00
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2022-04-01 19:41:11 +00:00
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let twoDiststoDistFn = (direction, arithmetic, dist1, dist2) => {
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FromDist(
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GenericDist_Types.Operation.ToDistCombination(
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direction,
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arithmeticMap(arithmetic),
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#Dist(dist2),
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),
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dist1,
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)->runGenericOperation
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2022-04-01 00:24:59 +00:00
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}
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2022-04-13 02:03:04 +00:00
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let parseNumber = (args: expressionValue): Belt.Result.t<float, string> =>
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2022-04-12 07:39:38 +00:00
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switch args {
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| EvNumber(x) => Ok(x)
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| _ => Error("Not a number")
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}
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2022-04-13 02:03:04 +00:00
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let parseNumberArray = (ags: array<expressionValue>): Belt.Result.t<array<float>, string> =>
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E.A.fmap(parseNumber, ags) |> E.A.R.firstErrorOrOpen
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let parseDist = (args: expressionValue): Belt.Result.t<GenericDist_Types.genericDist, string> =>
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switch args {
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| EvDistribution(x) => Ok(x)
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| EvNumber(x) => Ok(GenericDist.fromFloat(x))
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| _ => Error("Not a distribution")
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}
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2022-04-13 02:03:04 +00:00
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let parseDistributionArray = (ags: array<expressionValue>): Belt.Result.t<
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array<GenericDist_Types.genericDist>,
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string,
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> => E.A.fmap(parseDist, ags) |> E.A.R.firstErrorOrOpen
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2022-04-13 02:03:04 +00:00
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let mixtureWithGivenWeights = (
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distributions: array<GenericDist_Types.genericDist>,
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weights: array<float>,
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): DistributionOperation.outputType =>
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E.A.length(distributions) == E.A.length(weights)
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? Mixture(Belt.Array.zip(distributions, weights))->runGenericOperation
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: GenDistError(
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ArgumentError("Error, mixture call has different number of distributions and weights"),
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)
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let mixtureWithDefaultWeights = (
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distributions: array<GenericDist_Types.genericDist>,
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): DistributionOperation.outputType => {
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let length = E.A.length(distributions)
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let weights = Belt.Array.make(length, 1.0 /. Belt.Int.toFloat(length))
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mixtureWithGivenWeights(distributions, weights)
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}
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let mixture = (args: array<expressionValue>): DistributionOperation.outputType => {
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switch E.A.last(args) {
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| Some(EvArray(b)) => {
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let weights = parseNumberArray(b)
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let distributions = parseDistributionArray(
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Belt.Array.slice(args, ~offset=0, ~len=E.A.length(args) - 1),
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)
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switch E.R.merge(distributions, weights) {
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| Ok(d, w) => mixtureWithGivenWeights(d, w)
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| Error(err) => GenDistError(ArgumentError(err))
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}
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}
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| Some(EvDistribution(b)) => switch parseDistributionArray(args) {
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| Ok(distributions) => mixtureWithDefaultWeights(distributions)
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| Error(err) => GenDistError(ArgumentError(err))
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}
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| _ => GenDistError(ArgumentError("Last argument of mx must be array or distribution"))
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}
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}
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2022-04-01 19:41:11 +00:00
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}
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2022-04-01 00:24:59 +00:00
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2022-04-01 19:41:11 +00:00
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module SymbolicConstructors = {
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2022-04-01 17:21:24 +00:00
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let oneFloat = name =>
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switch name {
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| "exponential" => Ok(SymbolicDist.Exponential.make)
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| _ => Error("Unreachable state")
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}
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let twoFloat = name =>
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switch name {
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| "normal" => Ok(SymbolicDist.Normal.make)
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| "uniform" => Ok(SymbolicDist.Uniform.make)
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| "beta" => Ok(SymbolicDist.Beta.make)
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| "lognormal" => Ok(SymbolicDist.Lognormal.make)
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| "to" => Ok(SymbolicDist.From90thPercentile.make)
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| _ => Error("Unreachable state")
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}
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let threeFloat = name =>
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switch name {
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| "triangular" => Ok(SymbolicDist.Triangular.make)
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| _ => Error("Unreachable state")
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}
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let symbolicResultToOutput = (
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symbolicResult: result<SymbolicDistTypes.symbolicDist, string>,
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2022-04-04 15:59:14 +00:00
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): option<DistributionOperation.outputType> =>
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switch symbolicResult {
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| Ok(r) => Some(Dist(Symbolic(r)))
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| Error(r) => Some(GenDistError(Other(r)))
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}
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}
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2022-04-02 20:25:41 +00:00
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module Math = {
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let e = 2.718281828459
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}
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2022-04-01 00:24:59 +00:00
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let dispatchToGenericOutput = (call: ExpressionValue.functionCall): option<
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2022-04-04 15:59:14 +00:00
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DistributionOperation.outputType,
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> => {
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let (fnName, args) = call
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switch (fnName, args) {
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| ("exponential" as fnName, [EvNumber(f1)]) =>
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SymbolicConstructors.oneFloat(fnName)
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->E.R.bind(r => r(f1))
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->SymbolicConstructors.symbolicResultToOutput
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| (
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("normal" | "uniform" | "beta" | "lognormal" | "to") as fnName,
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[EvNumber(f1), EvNumber(f2)],
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) =>
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SymbolicConstructors.twoFloat(fnName)
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->E.R.bind(r => r(f1, f2))
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->SymbolicConstructors.symbolicResultToOutput
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2022-04-01 17:21:24 +00:00
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| ("triangular" as fnName, [EvNumber(f1), EvNumber(f2), EvNumber(f3)]) =>
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SymbolicConstructors.threeFloat(fnName)
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->E.R.bind(r => r(f1, f2, f3))
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->SymbolicConstructors.symbolicResultToOutput
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| ("sample", [EvDistribution(dist)]) => Helpers.toFloatFn(#Sample, dist)
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| ("mean", [EvDistribution(dist)]) => Helpers.toFloatFn(#Mean, dist)
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2022-04-08 13:08:49 +00:00
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| ("toString", [EvDistribution(dist)]) => Helpers.toStringFn(ToString, dist)
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| ("toSparkline", [EvDistribution(dist)]) => Helpers.toStringFn(ToSparkline(20), dist)
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2022-04-11 14:51:15 +00:00
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| ("toSparkline", [EvDistribution(dist), EvNumber(n)]) =>
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Helpers.toStringFn(ToSparkline(Belt.Float.toInt(n)), dist)
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2022-04-02 20:25:41 +00:00
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| ("exp", [EvDistribution(a)]) =>
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// https://mathjs.org/docs/reference/functions/exp.html
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Helpers.twoDiststoDistFn(Algebraic, "pow", GenericDist.fromFloat(Math.e), a)->Some
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2022-04-01 19:41:11 +00:00
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| ("normalize", [EvDistribution(dist)]) => Helpers.toDistFn(Normalize, dist)
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| ("toPointSet", [EvDistribution(dist)]) => Helpers.toDistFn(ToPointSet, dist)
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| ("cdf", [EvDistribution(dist), EvNumber(float)]) => Helpers.toFloatFn(#Cdf(float), dist)
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| ("pdf", [EvDistribution(dist), EvNumber(float)]) => Helpers.toFloatFn(#Pdf(float), dist)
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| ("inv", [EvDistribution(dist), EvNumber(float)]) => Helpers.toFloatFn(#Inv(float), dist)
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2022-04-01 00:28:48 +00:00
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| ("toSampleSet", [EvDistribution(dist), EvNumber(float)]) =>
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Helpers.toDistFn(ToSampleSet(Belt.Int.fromFloat(float)), dist)
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2022-04-01 17:21:24 +00:00
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| ("truncateLeft", [EvDistribution(dist), EvNumber(float)]) =>
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2022-04-01 19:41:11 +00:00
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Helpers.toDistFn(Truncate(Some(float), None), dist)
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2022-04-01 00:28:48 +00:00
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| ("truncateRight", [EvDistribution(dist), EvNumber(float)]) =>
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2022-04-01 19:41:11 +00:00
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Helpers.toDistFn(Truncate(None, Some(float)), dist)
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2022-04-01 00:28:48 +00:00
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| ("truncate", [EvDistribution(dist), EvNumber(float1), EvNumber(float2)]) =>
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2022-04-01 19:41:11 +00:00
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Helpers.toDistFn(Truncate(Some(float1), Some(float2)), dist)
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2022-04-13 02:03:04 +00:00
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| ("mx" | "mixture", args) => Helpers.mixture(args)->Some
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2022-04-02 20:25:41 +00:00
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| ("log", [EvDistribution(a)]) =>
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Helpers.twoDiststoDistFn(Algebraic, "log", a, GenericDist.fromFloat(Math.e))->Some
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| ("log10", [EvDistribution(a)]) =>
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Helpers.twoDiststoDistFn(Algebraic, "log", a, GenericDist.fromFloat(10.0))->Some
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2022-04-02 21:06:57 +00:00
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| ("unaryMinus", [EvDistribution(a)]) =>
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Helpers.twoDiststoDistFn(Algebraic, "multiply", a, GenericDist.fromFloat(-1.0))->Some
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2022-04-02 20:25:41 +00:00
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| (("add" | "multiply" | "subtract" | "divide" | "pow" | "log") as arithmetic, [a, b] as args) =>
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2022-04-01 19:41:11 +00:00
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Helpers.catchAndConvertTwoArgsToDists(args)->E.O2.fmap(((fst, snd)) =>
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Helpers.twoDiststoDistFn(Algebraic, arithmetic, fst, snd)
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2022-04-01 00:24:59 +00:00
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)
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| (
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("dotAdd"
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| "dotMultiply"
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| "dotSubtract"
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| "dotDivide"
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| "dotPow"
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| "dotLog") as arithmetic,
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2022-04-01 00:24:59 +00:00
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[a, b] as args,
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) =>
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2022-04-01 19:41:11 +00:00
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Helpers.catchAndConvertTwoArgsToDists(args)->E.O2.fmap(((fst, snd)) =>
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Helpers.twoDiststoDistFn(Pointwise, arithmetic, fst, snd)
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2022-04-01 00:24:59 +00:00
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)
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2022-04-02 20:25:41 +00:00
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| ("dotLog", [EvDistribution(a)]) =>
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Helpers.twoDiststoDistFn(Pointwise, "dotLog", a, GenericDist.fromFloat(Math.e))->Some
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| ("dotExp", [EvDistribution(a)]) =>
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Helpers.twoDiststoDistFn(Pointwise, "dotPow", GenericDist.fromFloat(Math.e), a)->Some
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2022-04-01 00:24:59 +00:00
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| _ => None
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}
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}
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2022-04-04 15:59:14 +00:00
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let genericOutputToReducerValue = (o: DistributionOperation.outputType): result<
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2022-04-01 19:41:11 +00:00
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expressionValue,
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Reducer_ErrorValue.errorValue,
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> =>
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switch o {
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| Dist(d) => Ok(ReducerInterface_ExpressionValue.EvDistribution(d))
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| Float(d) => Ok(EvNumber(d))
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| String(d) => Ok(EvString(d))
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| GenDistError(NotYetImplemented) => Error(RETodo("Function not yet implemented"))
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| GenDistError(Unreachable) => Error(RETodo("Unreachable"))
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| GenDistError(DistributionVerticalShiftIsInvalid) =>
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2022-04-13 02:03:04 +00:00
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Error(RETodo("Distribution Vertical Shift Is Invalid"))
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| GenDistError(ArgumentError(err)) => Error(RETodo("Argument Error: " ++ err))
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2022-04-01 19:41:11 +00:00
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| GenDistError(Other(s)) => Error(RETodo(s))
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}
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2022-04-01 00:24:59 +00:00
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let dispatch = call => {
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2022-04-01 17:21:24 +00:00
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dispatchToGenericOutput(call)->E.O2.fmap(genericOutputToReducerValue)
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2022-04-01 00:24:59 +00:00
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}
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