Documentation

Lean.Compiler.ConstFolding

@[inline]

abbrev Lean.Compiler.BinFoldFn:

Type

Equations

Lean.Compiler.BinFoldFn = (Bool → Lean.Expr → Lean.Expr → Option Lean.Expr)

@[inline]

abbrev Lean.Compiler.UnFoldFn:

Type

Equations

Lean.Compiler.UnFoldFn = (Bool → Lean.Expr → Option Lean.Expr)

def Lean.Compiler.mkUIntTypeName (nbytes : Nat) :

Equations

Lean.Compiler.mkUIntTypeName nbytes = Lean.Name.mkSimple ("UInt" ++ toString nbytes)

structure Lean.Compiler.NumScalarTypeInfo:

Type

nbits : Nat
id : Lean.Name
ofNatFn : Lean.Name
toNatFn : Lean.Name
size : Nat

def Lean.Compiler.numScalarTypes:

List Lean.Compiler.NumScalarTypeInfo

Equations

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def Lean.Compiler.isOfNat (fn : Lean.Name) :

Equations

Lean.Compiler.isOfNat fn = List.any Lean.Compiler.numScalarTypes fun info => info.ofNatFn == fn

def Lean.Compiler.isToNat (fn : Lean.Name) :

Equations

Lean.Compiler.isToNat fn = List.any Lean.Compiler.numScalarTypes fun info => info.toNatFn == fn

def Lean.Compiler.getInfoFromFn (fn : Lean.Name) :

List Lean.Compiler.NumScalarTypeInfo → Option Lean.Compiler.NumScalarTypeInfo

Equations

Lean.Compiler.getInfoFromFn fn [] = none
Lean.Compiler.getInfoFromFn fn (info :: infos) = if (info.ofNatFn == fn) = true then some info else Lean.Compiler.getInfoFromFn fn infos

def Lean.Compiler.getInfoFromVal:

Lean.Expr → Option Lean.Compiler.NumScalarTypeInfo

Equations

Lean.Compiler.getInfoFromVal _fun_discr = match _fun_discr with | Lean.Expr.app (Lean.Expr.const fn a a_1) a_2 a_3 => Lean.Compiler.getInfoFromFn fn Lean.Compiler.numScalarTypes | x => none

@[export lean_get_num_lit]

def Lean.Compiler.getNumLit:

Lean.Expr → Option Nat

def Lean.Compiler.mkUIntLit (info : Lean.Compiler.NumScalarTypeInfo) (n : Nat) :

Equations

Lean.Compiler.mkUIntLit info n = Lean.mkApp (Lean.mkConst info.ofNatFn) (Lean.mkRawNatLit (n % info.size))

def Lean.Compiler.mkUInt32Lit (n : Nat) :

Equations

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def Lean.Compiler.foldBinUInt (fn : Lean.Compiler.NumScalarTypeInfo → Bool → Nat → Nat → Nat) (beforeErasure : Bool) (a₁ : Lean.Expr) (a₂ : Lean.Expr) :

Option Lean.Expr

Equations

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def Lean.Compiler.foldUIntAdd (beforeErasure : Bool) (a₁ : Lean.Expr) (a₂ : Lean.Expr) :

Option Lean.Expr

Equations

Lean.Compiler.foldUIntAdd = Lean.Compiler.foldBinUInt fun x x => Add.add

def Lean.Compiler.foldUIntMul (beforeErasure : Bool) (a₁ : Lean.Expr) (a₂ : Lean.Expr) :

Option Lean.Expr

Equations

Lean.Compiler.foldUIntMul = Lean.Compiler.foldBinUInt fun x x => Mul.mul

def Lean.Compiler.foldUIntDiv (beforeErasure : Bool) (a₁ : Lean.Expr) (a₂ : Lean.Expr) :

Option Lean.Expr

Equations

Lean.Compiler.foldUIntDiv = Lean.Compiler.foldBinUInt fun x x => Div.div

def Lean.Compiler.foldUIntMod (beforeErasure : Bool) (a₁ : Lean.Expr) (a₂ : Lean.Expr) :

Option Lean.Expr

Equations

Lean.Compiler.foldUIntMod = Lean.Compiler.foldBinUInt fun x x => Mod.mod

def Lean.Compiler.foldUIntSub (beforeErasure : Bool) (a₁ : Lean.Expr) (a₂ : Lean.Expr) :

Option Lean.Expr

Equations

Lean.Compiler.foldUIntSub = Lean.Compiler.foldBinUInt fun info x a b => a + (info.size - b)

def Lean.Compiler.preUIntBinFoldFns:

List (Lean.Name × Lean.Compiler.BinFoldFn)

Equations

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def Lean.Compiler.uintBinFoldFns:

List (Lean.Name × Lean.Compiler.BinFoldFn)

Equations

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def Lean.Compiler.foldNatBinOp (fn : Nat → Nat → Nat) (a₁ : Lean.Expr) (a₂ : Lean.Expr) :

Option Lean.Expr

Equations

Lean.Compiler.foldNatBinOp fn a₁ a₂ = do let n₁ ← Lean.Compiler.getNumLit a₁ let n₂ ← Lean.Compiler.getNumLit a₂ pure (Lean.mkRawNatLit (fn n₁ n₂))

def Lean.Compiler.foldNatAdd:

Bool → Lean.Expr → Lean.Expr → Option Lean.Expr

Equations

Lean.Compiler.foldNatAdd x = Lean.Compiler.foldNatBinOp Add.add

def Lean.Compiler.foldNatMul:

Bool → Lean.Expr → Lean.Expr → Option Lean.Expr

Equations

Lean.Compiler.foldNatMul x = Lean.Compiler.foldNatBinOp Mul.mul

def Lean.Compiler.foldNatDiv:

Bool → Lean.Expr → Lean.Expr → Option Lean.Expr

Equations

Lean.Compiler.foldNatDiv x = Lean.Compiler.foldNatBinOp Div.div

def Lean.Compiler.foldNatMod:

Bool → Lean.Expr → Lean.Expr → Option Lean.Expr

Equations

Lean.Compiler.foldNatMod x = Lean.Compiler.foldNatBinOp Mod.mod

def Lean.Compiler.natPowThreshold:

Equations

Lean.Compiler.natPowThreshold = 256

def Lean.Compiler.foldNatPow:

Bool → Lean.Expr → Lean.Expr → Option Lean.Expr

Equations

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def Lean.Compiler.mkNatEq (a : Lean.Expr) (b : Lean.Expr) :

Equations

Lean.Compiler.mkNatEq a b = Lean.mkAppN (Lean.mkConst `Eq [Lean.levelOne]) #[Lean.mkConst `Nat, a, b]

def Lean.Compiler.mkNatLt (a : Lean.Expr) (b : Lean.Expr) :

Equations

Lean.Compiler.mkNatLt a b = Lean.mkAppN (Lean.mkConst `LT.lt [Lean.levelZero]) #[Lean.mkConst `Nat, Lean.mkConst `Nat.lt, a, b]

def Lean.Compiler.mkNatLe (a : Lean.Expr) (b : Lean.Expr) :

Equations

Lean.Compiler.mkNatLe a b = Lean.mkAppN (Lean.mkConst `LE.le [Lean.levelZero]) #[Lean.mkConst `Nat, Lean.mkConst `Nat.le, a, b]

def Lean.Compiler.toDecidableExpr (beforeErasure : Bool) (pred : Lean.Expr) (r : Bool) :

Equations

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def Lean.Compiler.foldNatBinPred (mkPred : Lean.Expr → Lean.Expr → Lean.Expr) (fn : Nat → Nat → Bool) (beforeErasure : Bool) (a₁ : Lean.Expr) (a₂ : Lean.Expr) :

Option Lean.Expr

Equations

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def Lean.Compiler.foldNatDecEq (beforeErasure : Bool) (a₁ : Lean.Expr) (a₂ : Lean.Expr) :

Option Lean.Expr

Equations

Lean.Compiler.foldNatDecEq = Lean.Compiler.foldNatBinPred Lean.Compiler.mkNatEq fun a b => decide (a = b)

def Lean.Compiler.foldNatDecLt (beforeErasure : Bool) (a₁ : Lean.Expr) (a₂ : Lean.Expr) :

Option Lean.Expr

Equations

Lean.Compiler.foldNatDecLt = Lean.Compiler.foldNatBinPred Lean.Compiler.mkNatLt fun a b => decide (a < b)

def Lean.Compiler.foldNatDecLe (beforeErasure : Bool) (a₁ : Lean.Expr) (a₂ : Lean.Expr) :

Option Lean.Expr

Equations

Lean.Compiler.foldNatDecLe = Lean.Compiler.foldNatBinPred Lean.Compiler.mkNatLe fun a b => decide (a ≤ b)

def Lean.Compiler.foldNatBinBoolPred (fn : Nat → Nat → Bool) (a₁ : Lean.Expr) (a₂ : Lean.Expr) :

Option Lean.Expr

Equations

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def Lean.Compiler.foldNatBeq:

Bool → Lean.Expr → Lean.Expr → Option Lean.Expr

Equations

Lean.Compiler.foldNatBeq x = Lean.Compiler.foldNatBinBoolPred fun a b => a == b

def Lean.Compiler.foldNatBle:

Bool → Lean.Expr → Lean.Expr → Option Lean.Expr

Equations

Lean.Compiler.foldNatBle x = Lean.Compiler.foldNatBinBoolPred fun a b => decide (a < b)

def Lean.Compiler.foldNatBlt:

Bool → Lean.Expr → Lean.Expr → Option Lean.Expr

Equations

Lean.Compiler.foldNatBlt x = Lean.Compiler.foldNatBinBoolPred fun a b => decide (a ≤ b)

def Lean.Compiler.natFoldFns:

List (Lean.Name × Lean.Compiler.BinFoldFn)

Equations

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def Lean.Compiler.getBoolLit:

Lean.Expr → Option Bool

Equations

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def Lean.Compiler.foldStrictAnd:

Bool → Lean.Expr → Lean.Expr → Option Lean.Expr

Equations

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def Lean.Compiler.foldStrictOr:

Bool → Lean.Expr → Lean.Expr → Option Lean.Expr

Equations

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def Lean.Compiler.boolFoldFns:

List (Lean.Name × Lean.Compiler.BinFoldFn)

Equations

Lean.Compiler.boolFoldFns = [(`strictOr, Lean.Compiler.foldStrictOr), (`strictAnd, Lean.Compiler.foldStrictAnd)]

def Lean.Compiler.binFoldFns:

List (Lean.Name × Lean.Compiler.BinFoldFn)

Equations

Lean.Compiler.binFoldFns = Lean.Compiler.boolFoldFns ++ Lean.Compiler.uintBinFoldFns ++ Lean.Compiler.natFoldFns

def Lean.Compiler.foldNatSucc:

Bool → Lean.Expr → Option Lean.Expr

Equations

Lean.Compiler.foldNatSucc x a = do let n ← Lean.Compiler.getNumLit a pure (Lean.mkRawNatLit (n + 1))

def Lean.Compiler.foldCharOfNat (beforeErasure : Bool) (a : Lean.Expr) :

Option Lean.Expr

Equations

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def Lean.Compiler.foldToNat:

Bool → Lean.Expr → Option Lean.Expr

Equations

Lean.Compiler.foldToNat x a = do let n ← Lean.Compiler.getNumLit a pure (Lean.mkRawNatLit n)

def Lean.Compiler.uintFoldToNatFns:

List (Lean.Name × Lean.Compiler.UnFoldFn)

Equations

Lean.Compiler.uintFoldToNatFns = List.foldl (fun r info => (info.toNatFn, Lean.Compiler.foldToNat) :: r) [] Lean.Compiler.numScalarTypes

def Lean.Compiler.unFoldFns:

List (Lean.Name × Lean.Compiler.UnFoldFn)

Equations

Lean.Compiler.unFoldFns = [(`Nat.succ, Lean.Compiler.foldNatSucc), (`Char.ofNat, Lean.Compiler.foldCharOfNat)] ++ Lean.Compiler.uintFoldToNatFns

def Lean.Compiler.findBinFoldFn (fn : Lean.Name) :

Option Lean.Compiler.BinFoldFn

Equations

Lean.Compiler.findBinFoldFn fn = List.lookup fn Lean.Compiler.binFoldFns

def Lean.Compiler.findUnFoldFn (fn : Lean.Name) :

Option Lean.Compiler.UnFoldFn

Equations

Lean.Compiler.findUnFoldFn fn = List.lookup fn Lean.Compiler.unFoldFns

@[export lean_fold_bin_op]

def Lean.Compiler.foldBinOp (beforeErasure : Bool) (f : Lean.Expr) (a : Lean.Expr) (b : Lean.Expr) :

Option Lean.Expr

Equations

Lean.Compiler.foldBinOp beforeErasure f a b = match f with | Lean.Expr.const fn a a_1 => do let foldFn ← Lean.Compiler.findBinFoldFn fn foldFn beforeErasure a b | x => failure

@[export lean_fold_un_op]

def Lean.Compiler.foldUnOp (beforeErasure : Bool) (f : Lean.Expr) (a : Lean.Expr) :

Option Lean.Expr

Equations

Lean.Compiler.foldUnOp beforeErasure f a = match f with | Lean.Expr.const fn a a_1 => do let foldFn ← Lean.Compiler.findUnFoldFn fn foldFn beforeErasure a | x => failure