lean4-htt/src/Lean/HeadIndex.lean
2022-03-16 16:07:14 -07:00

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/-
Copyright (c) 2020 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
-/
import Lean.Expr
namespace Lean
inductive HeadIndex where
| fvar (fvarId : FVarId)
| mvar (mvarId : MVarId)
| const (constName : Name)
| proj (structName : Name) (idx : Nat)
| lit (litVal : Literal)
| sort
| lam
| forallE
deriving Inhabited, BEq, Repr
namespace HeadIndex
protected def HeadIndex.hash : HeadIndex → UInt64
| fvar fvarId => mixHash 11 <| hash fvarId
| mvar mvarId => mixHash 13 <| hash mvarId
| const constName => mixHash 17 <| hash constName
| proj structName idx => mixHash 19 <| mixHash (hash structName) (hash idx)
| lit litVal => mixHash 23 <| hash litVal
| sort => 29
| lam => 31
| forallE => 37
instance : Hashable HeadIndex := ⟨HeadIndex.hash⟩
end HeadIndex
namespace Expr
def head : Expr → Expr
| app f _ _ => head f
| letE _ _ _ b _ => head b
| mdata _ e _ => head e
| e => e
private def headNumArgsAux : Expr → Nat → Nat
| app f _ _, n => headNumArgsAux f (n + 1)
| letE _ _ _ b _, n => headNumArgsAux b n
| mdata _ e _, n => headNumArgsAux e n
| _, n => n
def headNumArgs (e : Expr) : Nat :=
headNumArgsAux e 0
/-
Quick version that may fail if it "hits" a loose bound variable.
This can happen, for example, if the input expression is of the form.
```
let f := fun x => x + 1;
f 0
```
-/
private def toHeadIndexQuick? : Expr → Option HeadIndex
| mvar mvarId _ => HeadIndex.mvar mvarId
| fvar fvarId _ => HeadIndex.fvar fvarId
| const constName _ _ => HeadIndex.const constName
| proj structName idx _ _ => HeadIndex.proj structName idx
| sort _ _ => HeadIndex.sort
| lam _ _ _ _ => HeadIndex.lam
| forallE _ _ _ _ => HeadIndex.forallE
| lit v _ => HeadIndex.lit v
| app f _ _ => toHeadIndexQuick? f
| letE _ _ _ b _ => toHeadIndexQuick? b
| mdata _ e _ => toHeadIndexQuick? e
| _ => none
/-
Slower version of `toHeadIndexQuick?` that "expands" let-declarations to make
sure we never hit a loose bound variable.
The performance of the `letE` alternative can be improved, but this function should not be in the hotpath
since `toHeadIndexQuick?` succeeds most of the time.
-/
private partial def toHeadIndexSlow : Expr → HeadIndex
| mvar mvarId _ => HeadIndex.mvar mvarId
| fvar fvarId _ => HeadIndex.fvar fvarId
| const constName _ _ => HeadIndex.const constName
| proj structName idx _ _ => HeadIndex.proj structName idx
| sort _ _ => HeadIndex.sort
| lam _ _ _ _ => HeadIndex.lam
| forallE _ _ _ _ => HeadIndex.forallE
| lit v _ => HeadIndex.lit v
| app f _ _ => toHeadIndexSlow f
| letE _ _ v b _ => toHeadIndexSlow (b.instantiate1 v)
| mdata _ e _ => toHeadIndexSlow e
| _ => panic! "unexpected expression kind"
def toHeadIndex (e : Expr) : HeadIndex :=
match toHeadIndexQuick? e with
| some i => i
| none => toHeadIndexSlow e
end Expr
end Lean