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https://github.com/leanprover/lean4.git
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08eb78a5b2
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.
103 lines
2.7 KiB
Lean4
103 lines
2.7 KiB
Lean4
import Lean
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open Lean Meta
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/-!
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Testing Elab and Kernel reduction behavior with regards to Nat.shiftRight.
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-/
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example : [x].ctorIdx = 1 := rfl
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example : Nat.land 1 (Nat.shiftRight 8 1) = 0 := rfl
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-- The WHNF reduction does not reduce here:
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/--
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error: Type mismatch
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Eq.refl 0
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has type
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0 = 0
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but is expected to have type
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Nat.land 1 (Nat.shiftRight 8 [x].ctorIdx) = 0
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-/
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#guard_msgs in
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example : Nat.land 1 (Nat.shiftRight 8 ([x].ctorIdx)) = 0 := Eq.refl 0
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example : Nat.land 1 (Nat.shiftRight 8 ([x].ctorIdx)) = 0 :=
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@id (Nat.land 1 (Nat.shiftRight 8 1) = 0) (Eq.refl 0)
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elab "refl0" : tactic =>
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Lean.Elab.Tactic.closeMainGoalUsing `refl0 fun _ _ =>
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Lean.Meta.mkEqRefl (Lean.mkRawNatLit 0)
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example : Nat.land 1 (Nat.shiftRight 8 ([x].ctorIdx)) = 0 := by
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refl0
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elab "eagerrefl0" : tactic =>
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Lean.Elab.Tactic.closeMainGoalUsing `refl0 fun _ _ => do
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Lean.Meta.mkAppM `eagerReduce #[← Lean.Meta.mkEqRefl (Lean.mkRawNatLit 0)]
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example : Nat.land 1 (Nat.shiftRight 8 ([x].ctorIdx)) = 0 := by
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eagerrefl0
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-- A variant that uses the expected (unreduced) type as the first argument to eagerReduce
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elab "eagerrefl0'" : tactic =>
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Lean.Elab.Tactic.closeMainGoalUsing `refl0 fun goal _ => do
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let u ← getLevel goal
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return mkApp2 (mkConst ``eagerReduce [u]) goal (← mkEqRefl (mkRawNatLit 0))
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example : Nat.land 1 (Nat.shiftRight 8 ([x].ctorIdx)) = 0 := by
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eagerrefl0'
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/--
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error: Application type mismatch: The argument
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Eq.refl true
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has type
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true = true
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but is expected to have type
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(Nat.land 1 (Nat.shiftRight 8 [x].ctorIdx)).beq 0 = true
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in the application
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Nat.eq_of_beq_eq_true (Eq.refl true)
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-/
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#guard_msgs in
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example : Nat.land 1 (Nat.shiftRight 8 ([x].ctorIdx)) = 0 :=
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Nat.eq_of_beq_eq_true (Eq.refl true)
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/--
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error: Application type mismatch: The argument
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Eq.refl true
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has type
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true = true
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but is expected to have type
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(Nat.land 1 (Nat.shiftRight 8 [x].ctorIdx)).beq 0 = true
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in the application
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eagerReduce (Eq.refl true)
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-/
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#guard_msgs in
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example : Nat.land 1 (Nat.shiftRight 8 ([x].ctorIdx)) = 0 :=
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Nat.eq_of_beq_eq_true (eagerReduce (Eq.refl true))
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elab "reflTrue" : tactic =>
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Lean.Elab.Tactic.closeMainGoalUsing `refl0 fun _ _ =>
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Lean.Meta.mkEqRefl (Lean.mkConst ``Bool.true)
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-- This works! (But why?)
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example : Nat.land 1 (Nat.shiftRight 8 ([x].ctorIdx)) = 0 :=
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Nat.eq_of_beq_eq_true (by reflTrue)
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/--
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error: Type mismatch
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Eq.refl true
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has type
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true = true
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but is expected to have type
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(Nat.land 1 (Nat.shiftRight 8 [x].ctorIdx)).beq 0 = true
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-/
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#guard_msgs in
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example : Nat.beq (Nat.land 1 (Nat.shiftRight 8 ([x].ctorIdx))) 0 := Eq.refl true
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-- This also works (But why?)
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example : Nat.beq (Nat.land 1 (Nat.shiftRight 8 ([x].ctorIdx))) 0 := by reflTrue
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