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-- THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS
-- [paper]
import Base
open Primitives
namespace paper
/- [paper::ref_incr]: merged forward/backward function
(there is a single backward function, and the forward function returns ()) -/
def ref_incr (x : I32) : Result I32 :=
x + 1#i32
/- [paper::test_incr]: forward function -/
def test_incr : Result Unit :=
do
let x ← ref_incr 0#i32
if not (x = 1#i32)
then Result.fail Error.panic
else Result.ret ()
/- Unit test for [paper::test_incr] -/
#assert (test_incr == .ret ())
/- [paper::choose]: forward function -/
def choose (T : Type) (b : Bool) (x : T) (y : T) : Result T :=
if b
then Result.ret x
else Result.ret y
/- [paper::choose]: backward function 0 -/
def choose_back
(T : Type) (b : Bool) (x : T) (y : T) (ret0 : T) : Result (T × T) :=
if b
then Result.ret (ret0, y)
else Result.ret (x, ret0)
/- [paper::test_choose]: forward function -/
def test_choose : Result Unit :=
do
let z ← choose I32 true 0#i32 0#i32
let z0 ← z + 1#i32
if not (z0 = 1#i32)
then Result.fail Error.panic
else
do
let (x, y) ← choose_back I32 true 0#i32 0#i32 z0
if not (x = 1#i32)
then Result.fail Error.panic
else if not (y = 0#i32)
then Result.fail Error.panic
else Result.ret ()
/- Unit test for [paper::test_choose] -/
#assert (test_choose == .ret ())
/- [paper::List] -/
inductive List (T : Type) :=
| Cons : T → List T → List T
| Nil : List T
/- [paper::list_nth_mut]: forward function -/
divergent def list_nth_mut (T : Type) (l : List T) (i : U32) : Result T :=
match l with
| List.Cons x tl =>
if i = 0#u32
then Result.ret x
else do
let i0 ← i - 1#u32
list_nth_mut T tl i0
| List.Nil => Result.fail Error.panic
/- [paper::list_nth_mut]: backward function 0 -/
divergent def list_nth_mut_back
(T : Type) (l : List T) (i : U32) (ret0 : T) : Result (List T) :=
match l with
| List.Cons x tl =>
if i = 0#u32
then Result.ret (List.Cons ret0 tl)
else
do
let i0 ← i - 1#u32
let tl0 ← list_nth_mut_back T tl i0 ret0
Result.ret (List.Cons x tl0)
| List.Nil => Result.fail Error.panic
/- [paper::sum]: forward function -/
divergent def sum (l : List I32) : Result I32 :=
match l with
| List.Cons x tl => do
let i ← sum tl
x + i
| List.Nil => Result.ret 0#i32
/- [paper::test_nth]: forward function -/
def test_nth : Result Unit :=
do
let l := List.Nil
let l0 := List.Cons 3#i32 l
let l1 := List.Cons 2#i32 l0
let x ← list_nth_mut I32 (List.Cons 1#i32 l1) 2#u32
let x0 ← x + 1#i32
let l2 ← list_nth_mut_back I32 (List.Cons 1#i32 l1) 2#u32 x0
let i ← sum l2
if not (i = 7#i32)
then Result.fail Error.panic
else Result.ret ()
/- Unit test for [paper::test_nth] -/
#assert (test_nth == .ret ())
/- [paper::call_choose]: forward function -/
def call_choose (p : (U32 × U32)) : Result U32 :=
do
let (px, py) := p
let pz ← choose U32 true px py
let pz0 ← pz + 1#u32
let (px0, _) ← choose_back U32 true px py pz0
Result.ret px0
end paper
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