lean4-htt/tests/elab/grind_pat_sel.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

162 lines
3.9 KiB
Text

-- Enable new pattern selection algorithm
set_option backward.grind.inferPattern false
set_option warn.sorry false
opaque f : Nat → Nat
opaque g : Nat → Nat
/-- info: fg₁: [g #0] -/
#guard_msgs in
@[grind!? ←] axiom fg₁ : f (g x) = x
set_option trace.Meta.debug true
/-- info: fg₂: [f (g #0)] -/
#guard_msgs in
@[grind? ←] axiom fg₂ : f (g x) = x
/-- error: redundant modifier `!` in `grind` attribute -/
#guard_msgs in
@[grind! =] axiom fg₃ : f (g x) = x
/-- error: redundant modifier `!` in `grind` attribute -/
#guard_msgs in
@[grind! =_] axiom fg₄ : f (g x) = x
/--
error: invalid pattern, (non-forbidden) application expected
#0
-/
#guard_msgs (error) in
@[grind =_] theorem fg₅ : f (g x) = x := sorry
opaque p : Nat → Prop
/-- info: pf₁: [f #3, f #2] -/
#guard_msgs in
@[grind!? →] axiom pf₁ : p (f x) → p (f y) → f x = f y
/-- info: pf₂: [p (f #3), p (f #2)] -/
#guard_msgs in
@[grind? →] axiom pf₂ : p (f x) → p (f y) → f x = f y
/-- info: pf₃: [p (f #3), f (f #2)] -/
#guard_msgs in
@[grind? →] axiom pf₃ : p (f x) → f (f y) = y → f x = f y
opaque r : Nat → Nat → Nat
/-- info: pr₁: [p (f #2), r #2 (f #1)] -/
#guard_msgs in
@[grind? =>] axiom pr₁ : p (f x) → r x (f y) = y
/-- info: pr₂: [f #2, f #1] -/
#guard_msgs in
@[grind!? =>] axiom pr₂ : p (f x) → r x (f y) = y
/-- info: pr₃: [r #2 (f #1)] -/
#guard_msgs in
@[grind!? <=] axiom pr₃ : p (f x) → r x (f y) = y
/-- info: pr₄: [r #1 (f #1), p (f #2)] -/
#guard_msgs in
@[grind? <=] axiom pr₄ : p (f x) → r y (f y) = y
/--
info: Try these:
[apply] [grind! .] for pattern: [r #2 (f #1)]
[apply] [grind! =>] for pattern: [f #2, f #1]
-/
#guard_msgs in
@[grind!] theorem pr₅ : p (f x) → r x (f y) = y := sorry
/--
info: Try these:
[apply] [grind! .] for pattern: [f #1, f #2]
[apply] [grind! =>] for pattern: [f #2, f #1]
-/
#guard_msgs in
@[grind!] theorem pr₆ : p (f x) → r y (f y) = y := sorry
/--
info: Try these:
[apply] [grind .] for pattern: [r #1 (f #1), p (f #2)]
[apply] [grind =>] for pattern: [p (f #2), r #1 (f #1)]
[apply] [grind! .] for pattern: [f #1, f #2]
[apply] [grind! =>] for pattern: [f #2, f #1]
-/
#guard_msgs in
@[grind] theorem pr₇ : p (f x) → r y (f y) = y := sorry
/--
info: Try these:
[apply] [grind =] for pattern: [r #2 (f #1)]
[apply] [grind =>] for pattern: [p (f #2), r #2 (f #1)]
[apply] [grind! =>] for pattern: [f #2, f #1]
-/
#guard_msgs in
@[grind] theorem pr₈ : p (f x) → r x (f y) = y := sorry
/--
info: Try these:
[apply] [grind =] for pattern: [f (g #0)]
[apply] [grind! .] for pattern: [g #0]
-/
#guard_msgs in
@[grind] axiom fg₆ : f (g x) = x
/--
info: Try these:
[apply] [grind =] for pattern: [f (g #0)]
[apply] [grind =_] for pattern: [r #0 #0]
[apply] [grind! .] for pattern: [g #0]
-/
#guard_msgs in
@[grind] axiom fg₇ : f (g x) = r x x
/--
info: Try this:
[apply] [grind =] for pattern: [f #0]
-/
#guard_msgs in
@[grind] axiom fg₈ : f x = x
namespace Foo
opaque foo : Nat → Nat
opaque fooInv : Nat → Nat
axiom fooInv_foo : fooInv (foo x) = x
/-- trace: [grind.ematch.pattern] fooInv_foo: [foo #0] -/
#guard_msgs in
set_option trace.grind.ematch.pattern true in
example : foo x = foo y → x = y := by
grind [!←fooInv_foo]
/-- trace: [grind.ematch.pattern] fooInv_foo: [fooInv (foo #0)] -/
#guard_msgs in
set_option trace.grind.ematch.pattern true in
example : foo x = foo y → x = y := by
fail_if_success grind [←fooInv_foo]
sorry
opaque bar : Nat → Nat
axiom bar_eq : bar x = foo x
/-- error: redundant modifier `!` in `grind` parameter -/
#guard_msgs in
example : bar x = bar y → x = y := by
grind [! = bar_eq]
/-- error: redundant modifier `!` in `grind` parameter -/
#guard_msgs in
example : bar x = bar y → x = y := by
grind [! =_ bar_eq]
/-- error: redundant modifier `!` in `grind` parameter -/
#guard_msgs in
example : bar x = bar y → x = y := by
grind [! _=_ bar_eq]
end Foo