lean4-htt/tests/elab/MonadControl_tutorial.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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namespace Tutorial
/- This file contains the code examples that are used in the
monad control docstring in "How `MonadControl` works" in src/Init/Control/Basic.lean -/
def σ := Nat
@[reducible]
def β := String
opaque foo : ∀ {α}, IO α → IO α
opaque bar : StateT σ IO β
def mapped_foo : StateT σ IO β := do
let s ← get
let (b, s') ← liftM <| foo <| StateT.run bar s
set s'
return b
def stM (α : Type) := α × σ
def restoreM (x : IO (stM α)) : StateT σ IO α := do
let (a,s) ← liftM x
set s
return a
def mapped_foo' : StateT σ IO β := do
let s ← get
let mapInBase := fun z => StateT.run z s
restoreM <| foo <| mapInBase bar
def control {α : Type}
(f : ({β : Type} → StateT σ IO β → IO (stM β)) → IO (stM α))
: StateT σ IO α := do
let s ← get
let mapInBase := fun {β} (z : StateT σ IO β) => StateT.run z s
let r : IO (stM α) := f mapInBase
restoreM r
def mapped_foo'' : StateT σ IO β :=
control (fun mapInBase => foo (mapInBase bar))
end Tutorial