lean4-htt/tests/elab/5667.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

131 lines
3.3 KiB
Text

inductive Expr where
| const (i : BitVec 32)
| op (op : Unit) (e1 : Expr)
def optimize : Expr → Expr
| .const i => .const i
| .op bop e1 =>
match bop, optimize e1 with
| _, .const _ => .op bop (.const 0)
| _, _ => .const 0
/--
info: optimize.eq_def (x✝ : Expr) :
optimize x✝ =
match x✝ with
| Expr.const i => Expr.const i
| Expr.op bop e1 =>
match bop, optimize e1 with
| x, Expr.const i => Expr.op bop (Expr.const 0)
| x, x_1 => Expr.const 0
-/
#guard_msgs in
#check optimize.eq_def
/--
info: equations:
@[defeq] theorem optimize.eq_1 : ∀ (i : BitVec 32), optimize (Expr.const i) = Expr.const i
theorem optimize.eq_2 : ∀ (e1 : Expr) (bop : Unit) (i : BitVec 32),
optimize e1 = Expr.const i → optimize (Expr.op bop e1) = Expr.op bop (Expr.const 0)
theorem optimize.eq_3 : ∀ (e1 : Expr) (bop : Unit),
(∀ (i : BitVec 32), optimize e1 = Expr.const i → False) → optimize (Expr.op bop e1) = Expr.const 0
-/
#guard_msgs in
#print equations optimize
-- works:
def optimize2 : Expr → Expr
| .const i => .const i
| .op bop e1 =>
match optimize2 e1 with
| .const _ => .op bop (.const 0)
| _ => .const 0
/--
info: equations:
@[defeq] theorem optimize2.eq_1 : ∀ (i : BitVec 32), optimize2 (Expr.const i) = Expr.const i
@[defeq] theorem optimize2.eq_2 : ∀ (bop : Unit) (e1 : Expr),
optimize2 (Expr.op bop e1) =
match optimize2 e1 with
| Expr.const i => Expr.op bop (Expr.const 0)
| x => Expr.const 0
-/
#guard_msgs in
#print equations optimize2
-- also works:
def optimize3 : Expr → Expr
| .const i => .const i
| .op bop e1 =>
match bop, e1 with
| _, .const _ => .op bop (optimize3 e1)
| _, _ => .const 0
/--
info: equations:
@[defeq] theorem optimize3.eq_1 : ∀ (i : BitVec 32), optimize3 (Expr.const i) = Expr.const i
@[defeq] theorem optimize3.eq_2 : ∀ (bop : Unit) (i : BitVec 32),
optimize3 (Expr.op bop (Expr.const i)) = Expr.op bop (optimize3 (Expr.const i))
theorem optimize3.eq_3 : ∀ (bop : Unit) (e1 : Expr),
(∀ (i : BitVec 32), e1 = Expr.const i → False) → optimize3 (Expr.op bop e1) = Expr.const 0
-/
#guard_msgs in
#print equations optimize3
-- Mutual
namespace Mutual
mutual
inductive Expr where
| const (i : BitVec 32)
| op (op : Unit) (e1 : Expr')
inductive Expr' where
| const (i : BitVec 32)
| op (op : Unit) (e1 : Expr)
end
mutual
def optimize : Expr → Expr
| .const i => .const i
| .op bop e1 =>
match bop, optimize' e1 with
| _, .const _ => .op bop (.const 0)
| _, _ => .const 0
def optimize' : Expr' → Expr'
| .const i => .const i
| .op bop e1 =>
match bop, optimize e1 with
| _, .const _ => .op bop (.const 0)
| _, _ => .const 0
end
/--
info: Mutual.optimize.eq_def (x✝ : Expr) :
optimize x✝ =
match x✝ with
| Expr.const i => Expr.const i
| Expr.op bop e1 =>
match bop, optimize' e1 with
| x, Expr'.const i => Expr.op bop (Expr'.const 0)
| x, x_1 => Expr.const 0
-/
#guard_msgs in
#check optimize.eq_def
/--
info: Mutual.optimize'.eq_def (x✝ : Expr') :
optimize' x✝ =
match x✝ with
| Expr'.const i => Expr'.const i
| Expr'.op bop e1 =>
match bop, optimize e1 with
| x, Expr.const i => Expr'.op bop (Expr.const 0)
| x, x_1 => Expr'.const 0
-/
#guard_msgs in
#check optimize'.eq_def
end Mutual