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tweak: In Danger namespace, build dmr function further

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dmr = diminishing marginal returns
This commit is contained in:
NunoSempere 2022-09-05 15:27:59 +02:00
parent fe3075b3bf
commit be4e1b1a85
2 changed files with 86 additions and 19 deletions
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85
packages/squiggle-lang/src/rescript/FunctionRegistry/Library/FR_Danger.res
View File

@ -69,8 +69,11 @@ module Internals = {
result
}
let castFloatToInternalNumber = x => ReducerInterface_InternalExpressionValue.IEvNumber(x)
let castArrayOfFloatsToInternalArrayOfInternals = xs => ReducerInterface_InternalExpressionValue.IEvArray(Belt.Array.map(xs, x => castFloatToInternalNumber(x)))
@dead let applyFunctionAtFloat = (aLambda, point, environment, reducer) =>
let castArrayOfFloatsToInternalArrayOfInternals = xs => ReducerInterface_InternalExpressionValue.IEvArray(
Belt.Array.map(xs, x => castFloatToInternalNumber(x)),
)
@dead
let applyFunctionAtFloat = (aLambda, point, environment, reducer) =>
// reason for existence: might be an useful template to have for calculating diminishing marginal returns later on
applyFunctionAtPoint(aLambda, castFloatToInternalNumber(point), environment, reducer)
// integrate function itself
@ -84,7 +87,7 @@ module Internals = {
) => {
let applyFunctionAtFloatToFloatOption = (point: float) => {
// Defined here so that it has access to environment, reducer
let pointAsInternalExpression = ReducerInterface_InternalExpressionValue.IEvNumber(point)
let pointAsInternalExpression = castFloatToInternalNumber(point)
let resultAsInternalExpression = Reducer_Expression_Lambda.doLambdaCall(
aLambda,
list{pointAsInternalExpression},
@ -168,15 +171,67 @@ module Internals = {
}
result
}
type diminishingReturnsAccumulatorInner = {
optimalAllocations: array<float>,
currentMarginalReturns: array<result<float, string>>,
}
type diminishingReturnsAccumulator = result<diminishingReturnsAccumulatorInner, string>
let diminishingMarginalReturnsSkeleton = (
lambda1,
lambda2,
funds,
increment,
funds,
approximateIncrement,
environment,
reducer,
) => {
Ok(castArrayOfFloatsToInternalArrayOfInternals([0.0, 1.0]))
/*
Two possible algorithms (n=funds/increment, m=num lambdas)
1. O(n): Iterate through value on next n dollars. At each step, only compute the new marginal return of the function which is spent
2. O(n*m): Iterate through all possible spending combinations. Fun is, it doesn't assume that the returns of marginal spending are diminishing.
*/
let applyFunctionAtFloatToFloatOption = (lambda, point: float) => {
// Defined here so that it has access to environment, reducer
let pointAsInternalExpression = castFloatToInternalNumber(point)
let resultAsInternalExpression = Reducer_Expression_Lambda.doLambdaCall(
lambda,
list{pointAsInternalExpression},
environment,
reducer,
)
let result = switch resultAsInternalExpression {
| Ok(IEvNumber(x)) => Ok(x)
| Error(_) =>
Error(
"Integration error 1 in Danger.integrate. It's possible that your function doesn't return a number, try definining auxiliaryFunction(x) = mean(yourFunction(x)) and integrate auxiliaryFunction instead",
)
| _ => Error("Integration error 2 in Danger.integrate")
}
result
}
let numDivisions = Js.Math.round(funds /. approximateIncrement)
let numDivisionsInt = Belt.Float.toInt(numDivisions)
let increment = funds /. numDivisions
let arrayOfIncrements = Belt.Array.makeBy(numDivisionsInt, _ => increment)
let initAccumulator: diminishingReturnsAccumulator = Ok({
optimalAllocations: [0.0, 0.0],
currentMarginalReturns: [
applyFunctionAtFloatToFloatOption(lambda1, 0.0),
applyFunctionAtFloatToFloatOption(lambda2, 0.0),
],
})
let optimalAllocationEndAccumulator = E.A.reduce(arrayOfIncrements, initAccumulator, (
acc,
new,
) => {
acc
})
let optimalAllocationResult = switch optimalAllocationEndAccumulator {
| Ok(inner) => Ok(castArrayOfFloatsToInternalArrayOfInternals(inner.optimalAllocations))
| Error(b) => Error(b)
}
optimalAllocationResult
}
}
@ -352,7 +407,7 @@ let library = [
],
(),
),
Function.make(
Function.make(
~name="diminishingMarginalReturnsSkeleton",
~nameSpace,
~output=EvtArray,
@ -364,8 +419,20 @@ let library = [
~inputs=[FRTypeLambda, FRTypeLambda, FRTypeNumber, FRTypeNumber],
~run=(inputs, _, env, reducer) =>
switch inputs {
| [IEvLambda(lambda1), IEvLambda(lambda2), IEvNumber(funds), IEvNumber(increment)] =>
Internals.diminishingMarginalReturnsSkeleton(lambda1, lambda2, funds, increment, env, reducer)
| [
IEvLambda(lambda1),
IEvLambda(lambda2),
IEvNumber(funds),
IEvNumber(approximateIncrement),
] =>
Internals.diminishingMarginalReturnsSkeleton(
lambda1,
lambda2,
funds,
approximateIncrement,
env,
reducer,
)
| _ => Error("Error in Danger.diminishingMarginalReturnsSkeleton")
},
(),

20
packages/squiggle-lang/src/rescript/FunctionRegistry/Library/FR_List.res
View File

@ -75,7 +75,8 @@ module Internals = {
})
})
)
let result = rMappedList->E.R2.fmap(mappedList => mappedList->Belt.List.toArray->Wrappers.evArray)
let result =
rMappedList->E.R2.fmap(mappedList => mappedList->Belt.List.toArray->Wrappers.evArray)
result
}
}
@ -190,15 +191,14 @@ let library = [
FnDefinition.make(
~name="map",
~inputs=[FRTypeArray(FRTypeAny), FRTypeLambda],
~run=(inputs, _, env, reducer) =>
{
let result = switch inputs {
| [IEvArray(array), IEvLambda(lambda)] =>
Internals.map(array, env, lambda, reducer)->E.R2.errMap(_ => "Error!")
| _ => Error(impossibleError)
}
result
},
~run=(inputs, _, env, reducer) => {
let result = switch inputs {
| [IEvArray(array), IEvLambda(lambda)] =>
Internals.map(array, env, lambda, reducer)->E.R2.errMap(_ => "Error!")
| _ => Error(impossibleError)
}
result
},
(),
),
],