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.
33 lines
1 KiB
Text
33 lines
1 KiB
Text
def evenq (n: Nat) : Bool := Nat.mod n 2 = 0
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private theorem pack_loop_terminates : (n : Nat) → n / 2 < n.succ
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| 0 => by decide
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| 1 => by decide
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| n+2 => by
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rw [Nat.div_eq]
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split
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· rw [Nat.add_sub_self_right]
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have := pack_loop_terminates n
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calc n/2 + 1 < Nat.succ n + 1 := Nat.add_le_add_right this 1
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_ < Nat.succ (n + 2) := Nat.succ_lt_succ (Nat.succ_lt_succ (Nat.lt_succ_self _))
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· apply Nat.zero_lt_succ
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def pack (n: Nat) : List Nat :=
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let rec
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loop (n : Nat) (acc : Nat) (accs: List Nat) : List Nat :=
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let next (n: Nat) := n / 2;
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match n with
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| Nat.zero => List.cons acc accs
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| n+1 => match evenq n with
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| true => loop (next n) 0 (List.cons acc accs)
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| false => loop (next n) (acc+1) accs
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termination_by n
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decreasing_by all_goals
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simp [invImage, InvImage, Prod.lex, sizeOfWFRel, measure, Nat.lt_wfRel]
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apply pack_loop_terminates
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loop n 0 []
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/-- info: [2, 0, 0] -/
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#guard_msgs in
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#eval pack 27
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