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.
87 lines
2.3 KiB
Text
87 lines
2.3 KiB
Text
set_option warn.sorry false
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set_option pp.proofs true
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-- set_option trace.split.failure true
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-- set_option trace.split.debug true
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/--
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error: Tactic `split` failed: Could not split an `if` or `match` expression in the goal
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Hint: Use `set_option trace.split.failure true` to display additional diagnostic information
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n : Nat
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⊢ Fin.last n =
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match id n with
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| 0 => Fin.last 0
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| n.succ => Fin.last (n + 1)
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-/
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#guard_msgs(pass trace, all) in
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example (n : Nat) : Fin.last n = match (motive := ∀ n, Fin (n+1)) id n with
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| 0 => Fin.last 0
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| n + 1 => Fin.last (n + 1) := by
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split <;> rfl
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-- This is the type-incorrect target after generalization
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/--
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error: Type mismatch
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match n with
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| 0 => Fin.last 0
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| n.succ => Fin.last (n + 1)
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has type
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Fin (n + 1)
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but is expected to have type
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Fin (n0 + 1)
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---
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error: (kernel) declaration has metavariables '_example'
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-/
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#guard_msgs in
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example (n0 n : Nat) (h : id n0 = n) :
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Fin.last n0 =
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match (generalizing := false) (motive := ∀ n, Fin (n + 1)) n with
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| 0 => Fin.last 0
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| .succ n => Fin.last (n + 1) := sorry
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-- Maybe split could use `ndrec` to cast the result type?
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-- But not sure if the result is useful
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example (n0 n : Nat) (h : id n0 = n) :
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Fin.last n0 =
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h.symm.ndrec (motive := fun n => Fin (n + 1))
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(match (generalizing := false) (motive := ∀ n, Fin (n + 1)) n with
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| 0 => Fin.last 0
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| .succ n => Fin.last (n + 1)) := by
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split
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· sorry
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· sorry
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-- Variant with proof-valued discriminant. This works (and always has):
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example (n : Nat) (h : n > 0): Fin.last n = match (motive := ∀ n _, Fin (n+1)) n, h with
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| 0, h => by contradiction
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| n + 1, _ => Fin.last (n + 1) := by
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split
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· contradiction
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· rfl
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-- This failed, non-FVar discr.
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-- Succeeds now
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#guard_msgs(pass trace, all) in
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example (n : Nat) (hpos : n > 0): Fin.last n = match (motive := ∀ n _, Fin (n+1)) n, id hpos with
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| 0, hpos0 => by contradiction
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| n + 1, _ => Fin.last (n + 1) := by
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split
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· contradiction
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· rfl
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-- It essentially manually abstracted the discr
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example (n : Nat) (h : n > 0): Fin.last n = match (motive := ∀ n _, Fin (n+1)) n, id h with
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| 0, h => by contradiction
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| n + 1, _ => Fin.last (n + 1) := by
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generalize (id h) = h'
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split
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· contradiction
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· rfl
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