문제

FLINQ and the Quotation Visualizer samples used this function but I cannot find it anywhere. Thanks.

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해결책

The deepMacroExpandUntil function was quite a simple utility that only did two things:

  • It replaced all method calls with ReflectedDefinition attribute with the body of the method
  • It reduced lambda applications, so (fun x -> x * x) (1+2) would become (1+2)*(1+2)

This was quite useful when writing some quotation processing code, but newer versions of F# include ExprShape active patterns that make it quite easy to write quotation processing by hand.

To implement something like deepMacroExpandUntil, you would write something like:

open Microsoft.FSharp.Quotations

/// The parameter 'vars' is an immutable map that assigns expressions to variables
/// (as we recursively process the tree, we replace all known variables)
let rec expand vars expr = 
  // First recursively process & replace variables
  let expanded = 
    match expr with
    // If the variable has an assignment, then replace it with the expression
    | ExprShape.ShapeVar v when Map.containsKey v vars -> vars.[v]
    // Apply 'expand' recursively on all sub-expressions
    | ExprShape.ShapeVar v -> Expr.Var v
    | Patterns.Call(body, DerivedPatterns.MethodWithReflectedDefinition meth, args) ->
        let this = match body with Some b -> Expr.Application(meth, b) | _ -> meth
        let res = Expr.Applications(this, [ for a in args -> [a]])
        expand vars res
    | ExprShape.ShapeLambda(v, expr) -> 
        Expr.Lambda(v, expand vars expr)
    | ExprShape.ShapeCombination(o, exprs) ->
        ExprShape.RebuildShapeCombination(o, List.map (expand vars) exprs)
  // After expanding, try reducing the expression - we can replace 'let'
  // expressions and applications where the first argument is lambda
  match expanded with
  | Patterns.Application(ExprShape.ShapeLambda(v, body), assign)
  | Patterns.Let(v, assign, body) ->
      expand (Map.add v (expand vars assign) vars) body
  | _ -> expanded

The following example shows both aspects of the function - it replaces the function foo with its body and then replaces the application, so you end up with (10 + 2) * (10 + 2):

[<ReflectedDefinition>]
let foo a = a * a

expand Map.empty <@ foo (10 + 2) @>

EDIT: I also posted the sample to F# snippets.

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