lean4-htt/tests/elab/grind_som1.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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Text

module
import Lean
public meta import Lean.Elab.Tactic
open Lean.Grind
open Lean.Grind.CommRing
-- Convenient RArray literals
elab tk:"#R[" ts:term,* "]" : term => do
let ts : Array Lean.Syntax := ts
let es ← ts.mapM fun stx => Lean.Elab.Term.elabTerm stx none
if h : 0 < es.size then
Lean.RArray.toExpr (← Lean.Meta.inferType es[0]!) id (Lean.RArray.ofArray es h)
else
throwErrorAt tk "RArray cannot be empty"
example (x y : Int) : (x + y) * (x + y + 1) = x * (1 + y + x) + (y + 1 + x) * y :=
let ctx := #R[x, y]
let lhs : Expr := .mul (.add (.var 0) (.var 1)) (.add (.add (.var 0) (.var 1)) (.num 1))
let rhs : Expr := .add (.mul (.var 0) (.add (.add (.num 1) (.var 1)) (.var 0)))
(.mul (.add (.add (.var 1) (.num 1)) (.var 0)) (.var 1))
Expr.eq_of_toPoly_eq ctx lhs rhs (Eq.refl true)
example (x y : UInt8) : (128 * x + y) * 2 = y + y :=
let ctx := #R[x, y]
let lhs : Expr := .mul (.add (.mul (.num 128) (.var 0)) (.var 1)) (.num 2)
let rhs : Expr := .add (.var 1) (.var 1)
Expr.eq_of_toPolyC_eq ctx lhs rhs (Eq.refl true)