lean4-htt/tests/elab/array1.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

108 lines
2.5 KiB
Text

#check @Array.mk
def v : Array Nat := Array.mk [1, 2, 3, 4]
#guard v == #[1, 2, 3, 4, ]
def w : Array Nat :=
(Array.replicate 9 1).push 3
#check @Array.casesOn
def f : Fin w.size → Nat :=
fun i => w[i]'(i.isLt)
def arraySum (a : Array Nat) : Nat :=
a.foldl Nat.add 0
#guard Array.replicate 4 1 == #[1, 1, 1, 1]
#guard Array.map (fun x => x+10) v == #[11, 12, 13, 14]
#guard f ⟨1, sorry⟩ == 1
#guard f ⟨9, sorry⟩ == 3
#guard (((Array.replicate 1 1).push 2).push 3).foldl (fun x y => x + y) 0 == 6
#guard arraySum (Array.replicate 10 1) == 10
axiom axLt {a b : Nat} : a < b
#guard #[1, 2, 3].insertIdx 0 10 == #[10, 1, 2, 3]
#guard #[1, 2, 3].insertIdx 1 10 == #[1, 10, 2, 3]
#guard #[1, 2, 3].insertIdx 2 10 == #[1, 2, 10, 3]
#guard #[1, 2, 3].insertIdx 3 10 == #[1, 2, 3, 10]
#guard #[].insertIdx 0 10 == #[10]
def tst1 : IO Unit :=
#[1, 2, 3, 4].forRevM IO.println
/--
info: 4
3
2
1
-/
#guard_msgs in
#eval tst1
#guard #[1, 2].extract 0 1 == #[1]
#guard #[1, 2].extract 0 0 == #[]
#guard #[1, 2].extract 0 2 == #[1, 2]
#guard #[1, 2, 3, 4].filterMap (fun x => if x % 2 == 0 then some (x + 10) else none) == #[12, 14]
def tst : IO (List Nat) :=
[1, 2, 3, 4].filterMapM fun x => do
IO.println x;
(if x % 2 == 0 then pure $ some (x + 10) else pure none)
/--
info: 1
2
3
4
---
info: [12, 14]
-/
#guard_msgs in
#eval tst
#guard #[1, 3, 6, 2].getMax? (fun a b => a < b) == some 6
#guard #[].getMax? (fun (a b : Nat) => a < b) == none
#guard #[1, 8].getMax? (fun a b => a < b) == some 8
#guard #[8, 1].getMax? (fun a b => a < b) == some 8
#guard #[1, 6, 5, 3, 8, 2, 0].partition (fun x => x % 2 == 0) == (#[6, 8, 2, 0], #[1, 5, 3])
def check (b : Bool) : IO Unit :=
unless b do throw $ IO.userError "check failed"
#guard #[].isPrefixOf #[2, 3]
#guard (#[] : Array Nat).isPrefixOf #[]
#guard #[2, 3].isPrefixOf #[2, 3]
#guard #[2, 3].isPrefixOf #[2, 3, 4, 5]
#guard ! #[2, 4].isPrefixOf #[2, 3]
#guard ! #[2, 3, 4].isPrefixOf #[2, 3]
#guard ! #[2].isPrefixOf #[]
#guard ! #[4, 3].isPrefixOf #[2, 3, 4, 5]
#guard #[1, 2, 3].allDiff
#guard !#[1, 2, 1, 3].allDiff
#guard #[1, 2, 4, 3].allDiff
#guard (#[] : Array Nat).allDiff
#guard !#[1, 1].allDiff
#guard !#[1, 2, 3, 4, 5, 1].allDiff
#guard #[1, 2, 3, 4, 5].allDiff
#guard !#[1, 2, 3, 4, 5, 5].allDiff
#guard !#[1, 3, 3, 4, 5].allDiff
#guard !#[1, 2, 3, 4, 5, 3].allDiff
#guard !#[1, 2, 3, 4, 5, 4].allDiff
#guard #[1, 2, 3, 4, 5, 6].allDiff
#guard Array.zip #[1, 2] #[3, 4, 6] == #[(1, 3), (2, 4)]
theorem ex1 (a b c : Nat) : #[a, b].push c = #[a, 0, c].set! 1 b :=
rfl