mirror of
https://github.com/leanprover/lean4.git
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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.
54 lines
2.2 KiB
Lean4
54 lines
2.2 KiB
Lean4
import Lean
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open Nat.Linear
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-- Convenient RArray literals
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elab tk:"#R[" ts:term,* "]" : term => do
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let ts : Array Lean.Syntax := ts
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let es ← ts.mapM fun stx => Lean.Elab.Term.elabTerm stx none
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if h : 0 < es.size then
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Lean.RArray.toExpr (← Lean.Meta.inferType es[0]!) id (Lean.RArray.ofArray es h)
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else
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throwErrorAt tk "RArray cannot be empty"
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example (x₁ x₂ x₃ : Nat) : (x₁ + x₂) + (x₂ + x₃) = x₃ + 2*x₂ + x₁ :=
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Expr.eq_of_toNormPoly #R[x₁, x₂, x₃]
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(Expr.add (Expr.add (Expr.var 0) (Expr.var 1)) (Expr.add (Expr.var 1) (Expr.var 2)))
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(Expr.add (Expr.add (Expr.var 2) (Expr.mulL 2 (Expr.var 1))) (Expr.var 0))
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rfl
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example (x₁ x₂ x₃ : Nat) : ((x₁ + x₂) + (x₂ + x₃) = x₃ + x₂) = (x₁ + x₂ = 0) :=
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Expr.of_cancel_eq #R[x₁, x₂, x₃]
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(Expr.add (Expr.add (Expr.var 0) (Expr.var 1)) (Expr.add (Expr.var 1) (Expr.var 2)))
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(Expr.add (Expr.var 2) (Expr.var 1))
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(Expr.add (Expr.var 0) (Expr.var 1))
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(Expr.num 0)
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rfl
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example (x₁ x₂ x₃ : Nat) : ((x₁ + x₂) + (x₂ + x₃) ≤ x₃ + x₂) = (x₁ + x₂ ≤ 0) :=
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Expr.of_cancel_le #R[x₁, x₂, x₃]
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(Expr.add (Expr.add (Expr.var 0) (Expr.var 1)) (Expr.add (Expr.var 1) (Expr.var 2)))
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(Expr.add (Expr.var 2) (Expr.var 1))
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(Expr.add (Expr.var 0) (Expr.var 1))
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(Expr.num 0)
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rfl
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example (x₁ x₂ x₃ : Nat) : ((x₁ + x₂) + (x₂ + x₃) < x₃ + x₂) = (x₁ + x₂ < 0) :=
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Expr.of_cancel_lt #R[x₁, x₂, x₃]
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(Expr.add (Expr.add (Expr.var 0) (Expr.var 1)) (Expr.add (Expr.var 1) (Expr.var 2)))
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(Expr.add (Expr.var 2) (Expr.var 1))
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(Expr.add (Expr.var 0) (Expr.var 1))
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(Expr.num 0)
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rfl
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example (x : Nat) (xs : List Nat) : (sizeOf x < 1 + (1 + sizeOf x + sizeOf xs)) = True :=
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ExprCnstr.eq_true_of_isValid #R[sizeOf x, sizeOf xs]
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{ eq := false, lhs := Expr.inc (Expr.var 0), rhs := Expr.add (Expr.num 1) (Expr.add (Expr.add (Expr.num 1) (Expr.var 0)) (Expr.var 1)) }
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rfl
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example (x : Nat) (xs : List Nat) : (1 + (1 + sizeOf x + sizeOf xs) < sizeOf x) = False :=
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ExprCnstr.eq_false_of_isUnsat #R[sizeOf x, sizeOf xs]
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{ eq := false, lhs := Expr.inc <| Expr.add (Expr.num 1) (Expr.add (Expr.add (Expr.num 1) (Expr.var 0)) (Expr.var 1)), rhs := Expr.var 0 }
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rfl
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