This PR sets up the new integrated test/bench suite. It then migrates all benchmarks and some related tests to the new suite. There's also some documentation and some linting. For now, a lot of the old tests are left alone so this PR doesn't become even larger than it already is. Eventually, all tests should be migrated to the new suite though so there isn't a confusing mix of two systems.
124 lines
3 KiB
Text
124 lines
3 KiB
Text
import Std.Data.HashMap
|
||
import Lean.Meta.Sym
|
||
import Lean.Meta.DiscrTree.Basic
|
||
open Lean Meta Sym Grind
|
||
set_option sym.debug true
|
||
opaque p [Ring α] : α → α → Prop
|
||
axiom pax [CommRing α] [NoNatZeroDivisors α] (x y : α) : p x y → p (y + 1) x
|
||
opaque a : Int
|
||
opaque b : Int
|
||
def ex₁ := p (a + 1) b
|
||
|
||
def test₁ : SymM Unit := do
|
||
let pEx ← mkPatternFromDecl ``pax
|
||
let e ← shareCommon (← getConstInfo ``ex₁).value!
|
||
let some r₁ ← pEx.match? e | throwError "failed"
|
||
let h := mkAppN (mkConst ``pax r₁.us) r₁.args
|
||
check h
|
||
logInfo h
|
||
logInfo r₁.args
|
||
|
||
/--
|
||
info: pax b a ?m.1
|
||
---
|
||
info: #[Int, instCommRingInt, instNoNatZeroDivisorsInt, b, a, ?m.1]
|
||
-/
|
||
#guard_msgs in
|
||
#eval SymM.run test₁
|
||
|
||
theorem mk_forall_and (P Q : α → Prop) : (∀ x, P x) → (∀ x, Q x) → (∀ x, P x ∧ Q x) := by
|
||
grind
|
||
|
||
opaque q : Nat → Nat → Prop
|
||
opaque f : Nat → Nat
|
||
|
||
def ex₂ := ∀ x, q x 0 ∧ q (f (f x)) (f x + f (f 1))
|
||
|
||
def test₂ : SymM Unit := do
|
||
/- We use `some 5` because we want the pattern to be `(∀ x, ?P x ∧ ?Q x)`-/
|
||
let p ← mkPatternFromDecl ``mk_forall_and (some 5)
|
||
let e ← shareCommon (← getConstInfo ``ex₂).value!
|
||
logInfo p.pattern
|
||
logInfo e
|
||
let some r₁ ← p.unify? e | throwError "failed"
|
||
let h := mkAppN (mkConst ``mk_forall_and r₁.us) r₁.args
|
||
check h
|
||
logInfo h
|
||
logInfo (← Sym.inferType r₁.args[3]!)
|
||
logInfo (← Sym.inferType r₁.args[4]!)
|
||
|
||
/--
|
||
info: ∀ (x : #4), @#3 x ∧ @#2 x
|
||
---
|
||
info: ∀ (x : Nat), q x 0 ∧ q (f (f x)) (f x + f (f 1))
|
||
---
|
||
info: mk_forall_and (fun x => q x 0) (fun x => q (f (f x)) (f x + f (f 1))) ?m.4 ?m.5
|
||
---
|
||
info: ∀ (x : Nat), q x 0
|
||
---
|
||
info: ∀ (x : Nat), q (f (f x)) (f x + f (f 1))
|
||
-/
|
||
#guard_msgs in
|
||
#eval SymM.run test₂
|
||
|
||
theorem forall_and_eq (P Q : α → Prop) : (∀ x, P x ∧ Q x) = ((∀ x, P x) ∧ (∀ x, Q x)):= by
|
||
grind
|
||
|
||
def logPatternKey (p : Pattern) : MetaM Unit := do
|
||
let k := p.mkDiscrTreeKeys
|
||
logInfo m!"{k.toList.map (·.format)}"
|
||
|
||
def logPatternKeyFor (declName : Name) : MetaM Unit := do
|
||
let (p, _) ← mkEqPatternFromDecl declName
|
||
logPatternKey p
|
||
|
||
/--
|
||
info: [HAdd.hAdd, Nat, Nat, Nat, *, OfNat.ofNat, Nat, 0, *, *]
|
||
---
|
||
info: [HMul.hMul, *, *, *, *, OfNat.ofNat, *, 0, *, *]
|
||
---
|
||
info: [∀, *, And, *, *]
|
||
---
|
||
info: [Array.eraseIdx, *, HAppend.hAppend, Array, *, Array, *, Array, *, *, *, *, *, *]
|
||
---
|
||
info: [List.map, *, *, *, List.map, *, *, *, *]
|
||
---
|
||
info: [Std.HashMap.insertMany,
|
||
*,
|
||
*,
|
||
*,
|
||
*,
|
||
List,
|
||
Prod,
|
||
*,
|
||
*,
|
||
*,
|
||
*,
|
||
HAppend.hAppend,
|
||
List,
|
||
Prod,
|
||
*,
|
||
*,
|
||
List,
|
||
Prod,
|
||
*,
|
||
*,
|
||
List,
|
||
Prod,
|
||
*,
|
||
*,
|
||
*,
|
||
*,
|
||
*]
|
||
---
|
||
info: [GetElem.getElem, Std.HashMap, *, *, *, *, *, *, ◾, *, Std.HashMap.insert, *, *, *, *, *, *, *, *, *]
|
||
-/
|
||
#guard_msgs in
|
||
#eval SymM.run do
|
||
logPatternKeyFor ``Nat.zero_add
|
||
logPatternKeyFor ``Grind.Semiring.zero_mul
|
||
logPatternKeyFor ``forall_and_eq
|
||
logPatternKeyFor ``Array.eraseIdx_append
|
||
logPatternKeyFor ``List.map_map
|
||
logPatternKeyFor ``Std.HashMap.insertMany_append
|
||
logPatternKeyFor ``Std.HashMap.getElem_insert
|