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lean4/tests/elab/match_expr_perf.lean
Garmelon 08eb78a5b2 chore: switch to new test/bench suite (#12590)
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.
2026-02-25 13:51:53 +00:00

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/-
Copyright (c) 2023 Lean FRO, LLC. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kim Morrison
-/
prelude
import Lean.Elab.Tactic.Omega.Core
import Lean.Elab.Tactic.FalseOrByContra
import Lean.Meta.Tactic.Cases
import Lean.Elab.Tactic.Config
open Lean Meta Omega
set_option maxHeartbeats 6000
def pushNot (h P : Expr) : MetaM (Option Expr) := do
let P whnfR P
trace[omega] "pushing negation: {P}"
match P with
| .forallE _ t b _ =>
if ( isProp t) && ( isProp b) then
return some (mkApp4 (.const ``Decidable.and_not_of_not_imp []) t b
(.app (.const ``Classical.propDecidable []) t) h)
else
return none
| .app _ _ =>
match_expr P with
| LT.lt α _ x y => match_expr α with
| Nat => return some (mkApp3 (.const ``Nat.le_of_not_lt []) x y h)
| Int => return some (mkApp3 (.const ``Int.le_of_not_lt []) x y h)
| Fin n => return some (mkApp4 (.const ``Fin.le_of_not_lt []) n x y h)
| _ => return none
| LE.le α _ x y => match_expr α with
| Nat => return some (mkApp3 (.const ``Nat.lt_of_not_le []) x y h)
| Int => return some (mkApp3 (.const ``Int.lt_of_not_le []) x y h)
| Fin n => return some (mkApp4 (.const ``Fin.lt_of_not_le []) n x y h)
| _ => return none
| Eq α x y => match_expr α with
| Nat => return some (mkApp3 (.const ``Nat.lt_or_gt_of_ne []) x y h)
| Int => return some (mkApp3 (.const ``Int.lt_or_gt_of_ne []) x y h)
| Fin n => return some (mkApp4 (.const ``Fin.lt_or_gt_of_ne []) n x y h)
| _ => return none
| Dvd.dvd α _ k x => match_expr α with
| Nat => return some (mkApp3 (.const ``Nat.emod_pos_of_not_dvd []) k x h)
| Int =>
-- This introduces a disjunction that could be avoided by checking `k ≠ 0`.
return some (mkApp3 (.const ``Int.emod_pos_of_not_dvd []) k x h)
| _ => return none
| Prod.Lex _ _ _ _ _ _ => return some ( mkAppM ``Prod.of_not_lex #[h])
| Not P =>
return some (mkApp3 (.const ``Decidable.of_not_not []) P
(.app (.const ``Classical.propDecidable []) P) h)
| And P Q =>
return some (mkApp5 (.const ``Decidable.or_not_not_of_not_and []) P Q
(.app (.const ``Classical.propDecidable []) P)
(.app (.const ``Classical.propDecidable []) Q) h)
| Or P Q =>
return some (mkApp3 (.const ``and_not_not_of_not_or []) P Q h)
| Iff P Q =>
return some (mkApp5 (.const ``Decidable.and_not_or_not_and_of_not_iff []) P Q
(.app (.const ``Classical.propDecidable []) P)
(.app (.const ``Classical.propDecidable []) Q) h)
| _ => return none
| _ => return none