Partial function parsing code

packages/squiggle-lang/src/rescript/Distributions/DistributionTypes.res

@@ -6,13 +6,63 @@ type genericDist =
 
 type asAlgebraicCombinationStrategy = AsDefault | AsSymbolic | AsMonteCarlo | AsConvolution
 
+type expressionType =
+  | ArrayType
+  | ArrayStringType
+  | BoolType
+  | CallType
+  | DistributionType
+  | LambdaType
+  | NumberType
+  | RecordType
+  | StringType
+  | SymbolType
+
+type argumentError = 
+    | WrongTypeError(expressionType, expressionType)
+    | IncorrectNumberOfArgumentsError(int, int)
+    | MustBeFinite
+    | MustBePositive
+    | OtherArgumentError(string)
+
+module ArgumentError = {
+
+  type t = argumentError
+
+  let expressionTypeToString = (eType: expressionType): string => 
+    switch eType {
+    | ArrayType => "array"
+    | ArrayStringType => "arraystring"
+    | BoolType => "boolean"
+    | CallType => "call"
+    | DistributionType => "distribution"
+    | LambdaType => "lambda"
+    | NumberType => "number"
+    | RecordType => "record"
+    | StringType => "string"
+    | SymbolType => "symbol"
+    }
+
+  let toString = (err: t) : string => 
+    switch err {
+    | WrongTypeError(expected, actual) => 
+        `Argument has wrong type. Expected ${expressionTypeToString(expected)} but got ${expressionTypeToString(actual)}`
+    | IncorrectNumberOfArgumentsError(expected, actual) => `Expected ${Belt.Int.toString(expected)} arguments but got ${Belt.Int.toString(actual)}`
+    | MustBeFinite => "Argument must be finite"
+    | MustBePositive => "Argument must be positive"
+    | OtherArgumentError(msg) => msg
+    }
+}
+
+
+
 @genType
 type error =
   | NotYetImplemented
   | Unreachable
   | DistributionVerticalShiftIsInvalid
   | SampleSetError(SampleSetDist.sampleSetError)
-  | ArgumentError(string)
+  | ArgumentError(ArgumentError.t)
   | 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
@@ -33,7 +83,7 @@ module Error = {
     | NotYetImplemented => "Function Not Yet Implemented"
     | Unreachable => "Unreachable"
     | DistributionVerticalShiftIsInvalid => "Distribution Vertical Shift is Invalid"
-    | ArgumentError(s) => `Argument Error ${s}`
+    | ArgumentError(s) => ArgumentError.toString(s)
     | LogarithmOfDistributionError(s) => `Logarithm of input error: ${s}`
     | SampleSetError(TooFewSamples) => "Too Few Samples"
     | SampleSetError(NonNumericInput(err)) => `Found a non-number in input: ${err}`
@@ -51,6 +101,7 @@ module Error = {
   let sampleErrorToDistErr = (err: SampleSetDist.sampleSetError): error => SampleSetError(err)
 }
 
+
 @genType
 module DistributionOperation = {
   @genType

packages/squiggle-lang/src/rescript/Distributions/SymbolicDist/SymbolicDist.res

@@ -5,10 +5,8 @@ let normal95confidencePoint = 1.6448536269514722
 
 module Normal = {
   type t = normal
-  let make = (mean: float, stdev: float): result<symbolicDist, string> =>
+  let make = (mean: SafeFloat.finite, stdev: SafeFloat.positive): symbolicDist =>
-    stdev > 0.0
+      #Normal({mean: SafeFloat.Finite.toFloat(mean), stdev: SafeFloat.Positive.toFloat(stdev)})
-      ? Ok(#Normal({mean: mean, stdev: stdev}))
-      : Error("Standard deviation of normal distribution must be larger than 0")
   let pdf = (x, t: t) => Jstat.Normal.pdf(x, t.mean, t.stdev)
   let cdf = (x, t: t) => Jstat.Normal.cdf(x, t.mean, t.stdev)
 
@@ -68,14 +66,10 @@ module Normal = {
 
 module Exponential = {
   type t = exponential
-  let make = (rate: float): result<symbolicDist, string> =>
+  let make = (rate: SafeFloat.positive): symbolicDist =>
-    rate > 0.0
-      ? Ok(
           #Exponential({
-            rate: rate,
+            rate: SafeFloat.Positive.toFloat(rate),
-          }),
+          })
-        )
-      : Error("Exponential distributions rate must be larger than 0.")
   let pdf = (x, t: t) => Jstat.Exponential.pdf(x, t.rate)
   let cdf = (x, t: t) => Jstat.Exponential.cdf(x, t.rate)
   let inv = (p, t: t) => Jstat.Exponential.inv(p, t.rate)
@@ -86,10 +80,8 @@ module Exponential = {
 
 module Cauchy = {
   type t = cauchy
-  let make = (local, scale): result<symbolicDist, string> =>
+  let make = (local: SafeFloat.finite, scale: SafeFloat.positive): symbolicDist =>
-    scale > 0.0
+      #Cauchy({local: SafeFloat.Finite.toFloat(local), scale: SafeFloat.Positive.toFloat(scale)})
-      ? Ok(#Cauchy({local: local, scale: scale}))
-      : Error("Cauchy distribution scale parameter must larger than 0.")
   let pdf = (x, t: t) => Jstat.Cauchy.pdf(x, t.local, t.scale)
   let cdf = (x, t: t) => Jstat.Cauchy.cdf(x, t.local, t.scale)
   let inv = (p, t: t) => Jstat.Cauchy.inv(p, t.local, t.scale)
@@ -100,10 +92,12 @@ module Cauchy = {
 
 module Triangular = {
   type t = triangular
-  let make = (low, medium, high): result<symbolicDist, string> =>
+  let make = (low: SafeFloat.finite, medium: SafeFloat.finite, high: SafeFloat.finite): result<symbolicDist, DistributionTypes.argumentError> =>{
-    low < medium && medium < high
+    let (l, m, h) = (SafeFloat.Finite.toFloat(low), SafeFloat.Finite.toFloat(medium), SafeFloat.Finite.toFloat(high))
-      ? Ok(#Triangular({low: low, medium: medium, high: high}))
+    l < m && m < h
-      : Error("Triangular values must be increasing order.")
+      ? Ok(#Triangular({low: l, medium: m, high: h}))
+      : Error(OtherArgumentError("Triangular values must be increasing order."))
+    }
   let pdf = (x, t: t) => Jstat.Triangular.pdf(x, t.low, t.high, t.medium) // not obvious in jstat docs that high comes before medium?
   let cdf = (x, t: t) => Jstat.Triangular.cdf(x, t.low, t.high, t.medium)
   let inv = (p, t: t) => Jstat.Triangular.inv(p, t.low, t.high, t.medium)
@@ -114,10 +108,8 @@ module Triangular = {
 
 module Beta = {
   type t = beta
-  let make = (alpha, beta) =>
+  let make = (alpha: SafeFloat.positive, beta: SafeFloat.positive) =>
-    alpha > 0.0 && beta > 0.0
+      #Beta({alpha: SafeFloat.Positive.toFloat(alpha), beta: SafeFloat.Positive.toFloat(beta)})
-      ? Ok(#Beta({alpha: alpha, beta: beta}))
-      : Error("Beta distribution parameters must be positive")
   let pdf = (x, t: t) => Jstat.Beta.pdf(x, t.alpha, t.beta)
   let cdf = (x, t: t) => Jstat.Beta.cdf(x, t.alpha, t.beta)
   let inv = (p, t: t) => Jstat.Beta.inv(p, t.alpha, t.beta)
@@ -128,10 +120,8 @@ module Beta = {
 
 module Lognormal = {
   type t = lognormal
-  let make = (mu, sigma) =>
+  let make = (mu: SafeFloat.finite, sigma: SafeFloat.positive) =>
-    sigma > 0.0
+      #Lognormal({mu: SafeFloat.Finite.toFloat(mu), sigma: SafeFloat.Positive.toFloat(sigma)})
-      ? Ok(#Lognormal({mu: mu, sigma: sigma}))
-      : Error("Lognormal standard deviation must be larger than 0")
   let pdf = (x, t: t) => Jstat.Lognormal.pdf(x, t.mu, t.sigma)
   let cdf = (x, t: t) => Jstat.Lognormal.cdf(x, t.mu, t.sigma)
   let inv = (p, t: t) => Jstat.Lognormal.inv(p, t.mu, t.sigma)
@@ -199,8 +189,16 @@ module Lognormal = {
 
 module Uniform = {
   type t = uniform
-  let make = (low, high) =>
+  let make = (low: SafeFloat.finite, high: SafeFloat.finite) => {
-    high > low ? Ok(#Uniform({low: low, high: high})) : Error("High must be larger than low")
+     let l = SafeFloat.Finite.toFloat(low)
+     let h = SafeFloat.Finite.toFloat(high)
+    if h > l {
+      Ok(#Uniform({low: l, high: h})) 
+    }
+    else {
+      Error(DistributionTypes.OtherArgumentError("High must be larger than low"))
+    }
+  }
 
   let pdf = (x, t: t) => Jstat.Uniform.pdf(x, t.low, t.high)
   let cdf = (x, t: t) => Jstat.Uniform.cdf(x, t.low, t.high)
@@ -218,16 +216,8 @@ module Uniform = {
 
 module Gamma = {
   type t = gamma
-  let make = (shape: float, scale: float) => {
+  let make = (shape: SafeFloat.positive, scale: SafeFloat.positive) => {
-    if shape > 0. {
+    #Gamma({shape: SafeFloat.Positive.toFloat(shape), scale: SafeFloat.Positive.toFloat(scale)})
-      if scale > 0. {
-        Ok(#Gamma({shape: shape, scale: scale}))
-      } else {
-        Error("scale must be larger than 0")
-      }
-    } else {
-      Error("shape must be larger than 0")
-    }
   }
   let pdf = (x: float, t: t) => Jstat.Gamma.pdf(x, t.shape, t.scale)
   let cdf = (x: float, t: t) => Jstat.Gamma.cdf(x, t.shape, t.scale)
@@ -255,11 +245,15 @@ module Float = {
 }
 
 module From90thPercentile = {
-  let make = (low, high) =>
+  let make = (low: SafeFloat.positive, high: SafeFloat.positive) : result<SymbolicDistTypes.symbolicDist, DistributionTypes.argumentError> => {
-    switch (low, high) {
+    let l = SafeFloat.Positive.toFloat(low)
-    | (low, high) if low <= 0.0 && low < high => Ok(Normal.from90PercentCI(low, high))
+    let h = SafeFloat.Positive.toFloat(high)
-    | (low, high) if low < high => Ok(Lognormal.from90PercentCI(low, high))
+    if l < h {
-    | (_, _) => Error("Low value must be less than high value.")
+      Ok(Lognormal.from90PercentCI(l, h))
+    }
+    else {
+      Error(OtherArgumentError("Low value must be less than high value."))
+    }
   }
 }
 

packages/squiggle-lang/src/rescript/ReducerInterface/ReducerInterface_FunctionParser.res

@@ -0,0 +1,103 @@
+type expressionValue = ReducerInterface_ExpressionValue.expressionValue
+type error = DistributionTypes.error
+type argumentError = DistributionTypes.ArgumentError.t
+
+let expressionValueToType = (value: expressionValue): DistributionTypes.expressionType =>
+  switch value {
+  | EvArray(_) => ArrayType
+  | EvArrayString(_) => ArrayStringType
+  | EvBool(_) => BoolType
+  | EvCall(_) => CallType
+  | EvDistribution(_) => DistributionType
+  | EvLambda(_) => LambdaType
+  | EvNumber(_) => NumberType
+  | EvRecord(_) => RecordType
+  | EvString(_) => StringType
+  | EvSymbol(_) => SymbolType
+  }
+
+module Primitive = {
+  let distribution = (argument: expressionValue): result<DistributionTypes.genericDist, argumentError> =>
+    switch argument {
+    | EvDistribution(dist) => Ok(dist)
+    | _ => Error(WrongTypeError(DistributionType, expressionValueToType(argument)))
+    }
+
+  let finite = (argument: expressionValue): result<SafeFloat.finite, argumentError> =>
+    switch argument {
+    | EvNumber(num) => 
+        switch SafeFloat.Finite.make(num) {
+        | Some(safeNum) => Ok(safeNum)
+        | None => Error(MustBeFinite)
+      }
+    | _ => Error(WrongTypeError(NumberType, expressionValueToType(argument)))
+    }
+
+  let positive = (argument: expressionValue): result<SafeFloat.positive, argumentError> =>
+    switch argument {
+    | EvNumber(num) => 
+        switch SafeFloat.Positive.make(num) {
+        | Some(safeNum) => Ok(safeNum)
+        | None => Error(MustBePositive)
+      }
+    | _ => Error(WrongTypeError(NumberType, expressionValueToType(argument)))
+  }
+}
+
+module Functions = {
+  let function1 = (
+    f: 'a => 'b,
+    parseArg1: expressionValue => result<'a, argumentError>,
+    args: array<expressionValue>,
+  ): result<'b, argumentError> =>
+    switch args {
+    | [arg1] => E.R.fmap(f, parseArg1(arg1))
+    | _ => Error(IncorrectNumberOfArgumentsError(1, E.A.length(args)))
+    }
+
+
+  let function2Bind = (
+    f: ('a, 'b) => result<'c, argumentError>,
+    parseArg1: expressionValue => result<'a, argumentError>,
+    parseArg2: expressionValue => result<'b, argumentError>,
+    args: array<expressionValue>,
+  ): result<'c, argumentError> =>
+    switch args {
+    | [arg1, arg2] => E.R.merge(parseArg1(arg1), parseArg2(arg2)) -> E.R.bind(((a, b)) => f(a, b))
+    | _ => Error(IncorrectNumberOfArgumentsError(2, E.A.length(args)))
+    }
+
+  let function2 = (
+    f: ('a, 'b) => 'c,
+    parseArg1: expressionValue => result<'a, argumentError>,
+    parseArg2: expressionValue => result<'b, argumentError>,
+    args: array<expressionValue>,
+  ): result<'c, argumentError> =>
+    function2Bind((a, b) => Ok(f(a, b)), parseArg1, parseArg2, args)
+
+  let function3Bind = (
+    f: ('a, 'b, 'c) => result<'d, argumentError>,
+    parseArg1: expressionValue => result<'a, argumentError>,
+    parseArg2: expressionValue => result<'b, argumentError>,
+    parseArg3: expressionValue => result<'c, argumentError>,
+    args: array<expressionValue>,
+  ): result<'d, argumentError> =>
+    switch args {
+    | [arg1, arg2, arg3] => E.R.merge3(parseArg1(arg1), parseArg2(arg2), parseArg3(arg3)) -> E.R.bind(((a, b, c)) => f(a, b, c))
+    | _ => Error(IncorrectNumberOfArgumentsError(2, E.A.length(args)))
+    }
+}
+
+type function = Function(string, array<expressionValue> => result<SymbolicDistTypes.symbolicDist, argumentError>)
+
+let allFunctions: array<function> = 
+  [ Function("exponential", Functions.function1( SymbolicDist.Exponential.make, Primitive.positive))
+  , Function("normal", Functions.function2( SymbolicDist.Normal.make, Primitive.finite, Primitive.positive,))
+  , Function("uniform", Functions.function2Bind( SymbolicDist.Uniform.make, Primitive.finite, Primitive.finite,))
+  , Function("beta", Functions.function2( SymbolicDist.Beta.make, Primitive.positive, Primitive.positive,))
+  , Function("lognormal", Functions.function2( SymbolicDist.Lognormal.make, Primitive.finite, Primitive.positive,))
+  , Function("cauchy", Functions.function2( SymbolicDist.Cauchy.make, Primitive.finite, Primitive.positive,))
+  , Function("gamma", Functions.function2( SymbolicDist.Gamma.make, Primitive.positive, Primitive.positive,))
+  , Function("to", Functions.function2Bind( SymbolicDist.From90thPercentile.make, Primitive.positive, Primitive.positive,))
+  , Function("triangular", Functions.function3Bind( SymbolicDist.Triangular.make, Primitive.finite, Primitive.finite, Primitive.finite,))
+]

packages/squiggle-lang/src/rescript/ReducerInterface/ReducerInterface_GenericDistribution.res

@@ -1,5 +1,6 @@
 module ExpressionValue = ReducerInterface_ExpressionValue
 type expressionValue = ReducerInterface_ExpressionValue.expressionValue
+type argumentError = DistributionTypes.argumentError
 
 module Helpers = {
   let arithmeticMap = r =>
@@ -80,25 +81,25 @@ module Helpers = {
     )->DistributionOperation.run(~env)
   }
 
-  let parseNumber = (args: expressionValue): Belt.Result.t<float, string> =>
+  let parseNumber = (args: expressionValue): Belt.Result.t<float, argumentError> =>
     switch args {
     | EvNumber(x) => Ok(x)
-    | _ => Error("Not a number")
+    | _ => Error(OtherArgumentError("Not a number"))
     }
 
-  let parseNumberArray = (ags: array<expressionValue>): Belt.Result.t<array<float>, string> =>
+  let parseNumberArray = (ags: array<expressionValue>): Belt.Result.t<array<float>, argumentError> =>
     E.A.fmap(parseNumber, ags) |> E.A.R.firstErrorOrOpen
 
-  let parseDist = (args: expressionValue): Belt.Result.t<DistributionTypes.genericDist, string> =>
+  let parseDist = (args: expressionValue): Belt.Result.t<DistributionTypes.genericDist, argumentError> =>
     switch args {
     | EvDistribution(x) => Ok(x)
     | EvNumber(x) => Ok(GenericDist.fromFloat(x))
-    | _ => Error("Not a distribution")
+    | _ => Error(OtherArgumentError("Not a distribution"))
     }
 
   let parseDistributionArray = (ags: array<expressionValue>): Belt.Result.t<
     array<DistributionTypes.genericDist>,
-    string,
+    argumentError,
   > => E.A.fmap(parseDist, ags) |> E.A.R.firstErrorOrOpen
 
   let mixtureWithGivenWeights = (
@@ -109,7 +110,7 @@ module Helpers = {
     E.A.length(distributions) == E.A.length(weights)
       ? Mixture(Belt.Array.zip(distributions, weights))->DistributionOperation.run(~env)
       : GenDistError(
-          ArgumentError("Error, mixture call has different number of distributions and weights"),
+          ArgumentError(OtherArgumentError("Error, mixture call has different number of distributions and weights"))
         )
 
   let mixtureWithDefaultWeights = (
@@ -125,7 +126,7 @@ module Helpers = {
     args: array<expressionValue>,
     ~env: DistributionOperation.env,
   ): DistributionOperation.outputType => {
-    let error = (err: string): DistributionOperation.outputType =>
+    let error = (err: DistributionTypes.argumentError): DistributionOperation.outputType =>
       err->DistributionTypes.ArgumentError->GenDistError
     switch args {
     | [EvArray(distributions)] =>
@@ -138,7 +139,7 @@ module Helpers = {
       | (Ok(distrs), Ok(wghts)) => mixtureWithGivenWeights(distrs, wghts, ~env)
       | (Error(err), Ok(_)) => error(err)
       | (Ok(_), Error(err)) => error(err)
-      | (Error(err1), Error(err2)) => error(`${err1}|${err2}`)
+      | (Error(err1), Error(err2)) => error(err1)
       }
     | _ =>
       switch E.A.last(args) {
@@ -158,36 +159,19 @@ module Helpers = {
         | Ok(distributions) => mixtureWithDefaultWeights(distributions, ~env)
         | Error(err) => error(err)
         }
-      | _ => error("Last argument of mx must be array or distribution")
+      | _ => error(OtherArgumentError("Last argument of mx must be array or distribution"))
       }
     }
   }
 }
 
 module SymbolicConstructors = {
-  let oneFloat = name =>
+  let checkSymbolicConstructors = (call: ExpressionValue.functionCall) : option<result<SymbolicDistTypes.symbolicDist, argumentError>> => {
-    switch name {
+    let (fnName, args) = call
-    | "exponential" => Ok(SymbolicDist.Exponential.make)
+    let function = E.A.find((ReducerInterface_FunctionParser.Function(name, argsParser)) => name == fnName, ReducerInterface_FunctionParser.allFunctions)
-    | _ => Error("Unreachable state")
+    E.O.fmap((ReducerInterface_FunctionParser.Function(_, argsParser)) => argsParser(args), function)
   }
     
-  let twoFloat = name =>
-    switch name {
-    | "normal" => Ok(SymbolicDist.Normal.make)
-    | "uniform" => Ok(SymbolicDist.Uniform.make)
-    | "beta" => Ok(SymbolicDist.Beta.make)
-    | "lognormal" => Ok(SymbolicDist.Lognormal.make)
-    | "cauchy" => Ok(SymbolicDist.Cauchy.make)
-    | "gamma" => Ok(SymbolicDist.Gamma.make)
-    | "to" => Ok(SymbolicDist.From90thPercentile.make)
-    | _ => Error("Unreachable state")
-    }
-
-  let threeFloat = name =>
-    switch name {
-    | "triangular" => Ok(SymbolicDist.Triangular.make)
-    | _ => Error("Unreachable state")
-    }
 
   let symbolicResultToOutput = (
     symbolicResult: result<SymbolicDistTypes.symbolicDist, string>,
@@ -204,23 +188,8 @@ let dispatchToGenericOutput = (
 ): option<DistributionOperation.outputType> => {
   let (fnName, args) = call
   switch (fnName, args) {
-  | ("exponential" as fnName, [EvNumber(f)]) =>
-    SymbolicConstructors.oneFloat(fnName)
-    ->E.R.bind(r => r(f))
-    ->SymbolicConstructors.symbolicResultToOutput
   | ("delta", [EvNumber(f)]) =>
     SymbolicDist.Float.makeSafe(f)->SymbolicConstructors.symbolicResultToOutput
-  | (
-      ("normal" | "uniform" | "beta" | "lognormal" | "cauchy" | "gamma" | "to") as fnName,
-      [EvNumber(f1), EvNumber(f2)],
-    ) =>
-    SymbolicConstructors.twoFloat(fnName)
-    ->E.R.bind(r => r(f1, f2))
-    ->SymbolicConstructors.symbolicResultToOutput
-  | ("triangular" as fnName, [EvNumber(f1), EvNumber(f2), EvNumber(f3)]) =>
-    SymbolicConstructors.threeFloat(fnName)
-    ->E.R.bind(r => r(f1, f2, f3))
-    ->SymbolicConstructors.symbolicResultToOutput
   | ("sample", [EvDistribution(dist)]) => Helpers.toFloatFn(#Sample, dist, ~env)
   | ("mean", [EvDistribution(dist)]) => Helpers.toFloatFn(#Mean, dist, ~env)
   | ("integralSum", [EvDistribution(dist)]) => Helpers.toFloatFn(#IntegralSum, dist, ~env)
@@ -323,7 +292,7 @@ let dispatchToGenericOutput = (
       a,
       ~env,
     )->Some
-  | _ => None
+  | _ => checkSymbolicConstructors(call)
   }
 }
 

packages/squiggle-lang/src/rescript/Utility/E.res

@@ -253,6 +253,13 @@ module R = {
     | (_, Error(e)) => Error(e)
     | (Ok(a), Ok(b)) => Ok((a, b))
     }
+  let merge3 = (a, b, c) =>
+    switch (a, b, c) {
+    | (Error(e), _, _) => Error(e)
+    | (_, Error(e), _) => Error(e)
+    | (_, _, Error(e)) => Error(e)
+    | (Ok(a), Ok(b), Ok(c)) => Ok((a, b, c))
+    }
   let toOption = (e: Belt.Result.t<'a, 'b>) =>
     switch e {
     | Ok(r) => Some(r)
@@ -531,10 +538,13 @@ module A = {
   let keepMap = Belt.Array.keepMap
   let slice = Belt.Array.slice
   let init = Array.init
+  let filter = (fn, xs) => Belt.Array.keep(xs, fn)
   let reduce = Belt.Array.reduce
   let reducei = Belt.Array.reduceWithIndex
   let isEmpty = r => length(r) < 1
   let stableSortBy = Belt.SortArray.stableSortBy
+  let find = (f: 'a => bool, xs: array<'a>) => first(filter(f, xs))
+    
   let toRanges = (a: array<'a>) =>
     switch a |> Belt.Array.length {
     | 0

packages/squiggle-lang/src/rescript/Utility/SafeFloat.res

@@ -0,0 +1,34 @@
+type finite = Finite(float)
+module Finite = {
+  type t = finite
+  let valid = Js.Float.isFinite
+  let make = (x: float) : option<t> =>
+    if valid(x) {
+      Some(Finite(x))
+    }
+    else {
+      None 
+    }
+  let toFloat = (x: t) =>
+    switch x {
+    | Finite(inner) => inner
+    }
+}
+
+type positive = Positive(float)
+module Positive = {
+  type t = positive
+  let valid = (x: float) => Finite.valid(x) && x > 0.
+  let make = (x: float) : option<t> =>
+    if valid(x) {
+      Some(Positive(x))
+    }
+    else {
+      None 
+    }
+
+  let toFloat = (x: t) =>
+    switch x {
+    | Positive(inner) => inner
+    }
+}