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.
72 lines
1.9 KiB
Text
72 lines
1.9 KiB
Text
namespace Bug
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open Nat
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theorem div_rec_lemma {x y : Nat} : 0 < y ∧ y ≤ x → x - y < x :=
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fun ⟨ypos, ylex⟩ => sub_lt (Nat.lt_of_lt_of_le ypos ylex) ypos
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protected noncomputable def divCore (x y : Nat) (fuel : Nat) (hfuel : x < fuel): Nat :=
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match fuel with
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| 0 => by contradiction
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| succ fuel =>
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if h : 0 < y ∧ y ≤ x then
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have this := div_rec_lemma h
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Bug.divCore (x - y) y fuel (Nat.lt_of_lt_of_le (div_rec_lemma h) (Nat.le_of_lt_succ hfuel)) + 1
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else
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0
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termination_by structural fuel
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-- /--
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-- info: { funIndName := `Bug.divCore.induct,
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-- levelMask := #[],
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-- params := #[Lean.Meta.FunIndParamKind.target, Lean.Meta.FunIndParamKind.param, Lean.Meta.FunIndParamKind.target,
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-- Lean.Meta.FunIndParamKind.target] }
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-- -/
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-- #guard_msgs in
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-- run_meta
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-- let some x ← Lean.Meta.getFunIndInfo? false ``Bug.divCore | return
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-- Lean.logInfo m!"{repr x}"
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/--
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error: Failed: `fail` tactic was invoked
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case case1
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x y fuel x✝ fuel✝ : Nat
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hfuel✝ : x✝ < fuel✝.succ
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h✝ : 0 < y ∧ y ≤ x✝
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this✝ : x✝ - y < x✝
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ih1✝ : Bug.divCore (x✝ - y) y fuel✝ ⋯ = 42
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⊢ Bug.divCore (x✝ - y) y fuel✝ ⋯ + 1 = 42
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case case2
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x y fuel x✝ fuel✝ : Nat
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hfuel✝ : x✝ < fuel✝.succ
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h✝ : ¬(0 < y ∧ y ≤ x✝)
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⊢ 0 = 42
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-/
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#guard_msgs(error) in
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protected theorem divCore_eq_div : Bug.divCore x y fuel h = 42 := by
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fun_induction Bug.divCore
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fail
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/--
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error: Failed: `fail` tactic was invoked
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case case1
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x y fuel x✝ fuel✝ : Nat
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hfuel✝ : x✝ < fuel✝.succ
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h✝ : 0 < y ∧ y ≤ x✝
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this✝ : x✝ - y < x✝
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ih1✝ : Bug.divCore (x✝ - y) y fuel✝ ⋯ = 42
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⊢ Bug.divCore (x✝ - y) y fuel✝ ⋯ + 1 = 42
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case case2
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x y fuel x✝ fuel✝ : Nat
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hfuel✝ : x✝ < fuel✝.succ
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h✝ : ¬(0 < y ∧ y ≤ x✝)
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⊢ 0 = 42
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-/
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#guard_msgs in
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protected theorem divCore_eq_div' : Bug.divCore x y fuel h = 42 := by
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induction x, fuel, h using Bug.divCore.induct_unfolding y
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fail
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end Bug
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