Documentation

Lean.Compiler.LCNF.Simp.ConstantFold

@[inline]

A constant folding monad, the additional state stores auxiliary declarations required to build the new constant.

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@[inline]

A constant folder for a specific function, takes all the arguments of a certain function and produces a new Expr + auxiliary declarations in the FolderM monad on success. If the folding fails it returns none.

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  • Attempt to turn the provied Expr into a value of type α if it is whatever concept of a literal α has. Note that this function does assume that the provided Expr does indeed have type α.

  • Turn a value of type α into a series of auxiliary LetDecls + a final Expr putting them all together into a literal of type α, where again the idea of what a literal is depends on α.

A typeclass for detecting and producing literals of arbitrary types inside of LCNF.

Instances

    A wrapper around LCNF.mkAuxLetDecl that will automaticaly store the LetDecl in the state of FolderM.

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    def Lean.Compiler.LCNF.Simp.ConstantFold.mkNatWrapperInstance {α : Type} [inst : Inhabited α] (ofNat : Natα) (ofNatName : Lean.Name) (toNat : αNat) :
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    Turns an expression chain of the form

    let _x.1 := @List.nil _
    let _x.2 := @List.cons _ a _x.1
    let _x.3 := @List.cons _ b _x.2
    let _x.4 := @List.cons _ c _x.3
    let _x.5 := @List.cons _ d _x.4
    let _x.6 := @List.cons _ e _x.5
    

    into: [a, b, c, d ,e] + The type contained in the list

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    Turn an #[a, b, c] into:

    let _x.12 := 3
    let _x.8 := @Array.mkEmpty _ _x.12
    let _x.22 := @Array.push _ _x.8 x
    let _x.24 := @Array.push _ _x.22 y
    let _x.26 := @Array.push _ _x.24 z
    _x.26
    
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    Evaluate array literals at compile time, that is turn:

    let _x.1 := @List.nil _
    let _x.2 := @List.cons _ z _x.1
    let _x.3 := @List.cons _ y _x.2
    let _x.4 := @List.cons _ x _x.3
    let _x.5 := @List.toArray _ _x.4
    

    To its array form:

    let _x.12 := 3
    let _x.8 := @Array.mkEmpty _ _x.12
    let _x.22 := @Array.push _ _x.8 x
    let _x.24 := @Array.push _ _x.22 y
    let _x.26 := @Array.push _ _x.24 z
    
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    Turn a unary function such as Nat.succ into a constant folder.

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    Turn a binary function such as Nat.add into a constant folder.

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    Provide a folder for an operation with a left neutral element.

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    Provide a folder for an operation with a right neutral element.

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    Provide a folder for an operation with a left annihilator.

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    Provide a folder for an operation with a right annihilator.

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    Pick the first folder out of folders that succeeds.

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    Provide a folder for an operation that has the same left and right neutral element.

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    Provide a folder for an operation that has the same left and right annihilator.

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    All arithmetic folders.

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    All string folders.

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    Apply all known folders to decl.

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    Instances For
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