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-- THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS
-- [paper]
import Base.Primitives
structure OpaqueDefs where
/- [paper::ref_incr] -/
def ref_incr_fwd_back (x : Int32) : Result Int32 :=
Int32.checked_add x (Int32.ofNatCore 1 (by intlit))
/- [paper::test_incr] -/
def test_incr_fwd : Result Unit :=
do
let x ← ref_incr_fwd_back (Int32.ofNatCore 0 (by intlit))
if h: not (x = (Int32.ofNatCore 1 (by intlit)))
then Result.fail Error.panic
else Result.ret ()
/- Unit test for [paper::test_incr] -/
#assert (test_incr_fwd == .ret ())
/- [paper::choose] -/
def choose_fwd (T : Type) (b : Bool) (x : T) (y : T) : Result T :=
if h: b
then Result.ret x
else Result.ret y
/- [paper::choose] -/
def choose_back
(T : Type) (b : Bool) (x : T) (y : T) (ret0 : T) : Result (T × T) :=
if h: b
then Result.ret (ret0, y)
else Result.ret (x, ret0)
/- [paper::test_choose] -/
def test_choose_fwd : Result Unit :=
do
let z ←
choose_fwd Int32 true (Int32.ofNatCore 0 (by intlit))
(Int32.ofNatCore 0 (by intlit))
let z0 ← Int32.checked_add z (Int32.ofNatCore 1 (by intlit))
if h: not (z0 = (Int32.ofNatCore 1 (by intlit)))
then Result.fail Error.panic
else
do
let (x, y) ←
choose_back Int32 true (Int32.ofNatCore 0 (by intlit))
(Int32.ofNatCore 0 (by intlit)) z0
if h: not (x = (Int32.ofNatCore 1 (by intlit)))
then Result.fail Error.panic
else
if h: not (y = (Int32.ofNatCore 0 (by intlit)))
then Result.fail Error.panic
else Result.ret ()
/- Unit test for [paper::test_choose] -/
#assert (test_choose_fwd == .ret ())
/- [paper::List] -/
inductive list_t (T : Type) :=
| ListCons : T -> list_t T -> list_t T
| ListNil : list_t T
/- [paper::list_nth_mut] -/
def list_nth_mut_fwd (T : Type) (l : list_t T) (i : UInt32) : Result T :=
match h: l with
| list_t.ListCons x tl =>
if h: i = (UInt32.ofNatCore 0 (by intlit))
then Result.ret x
else
do
let i0 ← UInt32.checked_sub i (UInt32.ofNatCore 1 (by intlit))
list_nth_mut_fwd T tl i0
| list_t.ListNil => Result.fail Error.panic
/- [paper::list_nth_mut] -/
def list_nth_mut_back
(T : Type) (l : list_t T) (i : UInt32) (ret0 : T) : Result (list_t T) :=
match h: l with
| list_t.ListCons x tl =>
if h: i = (UInt32.ofNatCore 0 (by intlit))
then Result.ret (list_t.ListCons ret0 tl)
else
do
let i0 ← UInt32.checked_sub i (UInt32.ofNatCore 1 (by intlit))
let tl0 ← list_nth_mut_back T tl i0 ret0
Result.ret (list_t.ListCons x tl0)
| list_t.ListNil => Result.fail Error.panic
/- [paper::sum] -/
def sum_fwd (l : list_t Int32) : Result Int32 :=
match h: l with
| list_t.ListCons x tl => do
let i ← sum_fwd tl
Int32.checked_add x i
| list_t.ListNil => Result.ret (Int32.ofNatCore 0 (by intlit))
/- [paper::test_nth] -/
def test_nth_fwd : Result Unit :=
do
let l := list_t.ListNil
let l0 := list_t.ListCons (Int32.ofNatCore 3 (by intlit)) l
let l1 := list_t.ListCons (Int32.ofNatCore 2 (by intlit)) l0
let x ←
list_nth_mut_fwd Int32 (list_t.ListCons (Int32.ofNatCore 1 (by intlit))
l1) (UInt32.ofNatCore 2 (by intlit))
let x0 ← Int32.checked_add x (Int32.ofNatCore 1 (by intlit))
let l2 ←
list_nth_mut_back Int32 (list_t.ListCons
(Int32.ofNatCore 1 (by intlit)) l1) (UInt32.ofNatCore 2 (by intlit))
x0
let i ← sum_fwd l2
if h: not (i = (Int32.ofNatCore 7 (by intlit)))
then Result.fail Error.panic
else Result.ret ()
/- Unit test for [paper::test_nth] -/
#assert (test_nth_fwd == .ret ())
/- [paper::call_choose] -/
def call_choose_fwd (p : (UInt32 × UInt32)) : Result UInt32 :=
do
let (px, py) := p
let pz ← choose_fwd UInt32 true px py
let pz0 ← UInt32.checked_add pz (UInt32.ofNatCore 1 (by intlit))
let (px0, _) ← choose_back UInt32 true px py pz0
Result.ret px0
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