(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *)
(** [paper] *)
Require Import Primitives.
Import Primitives.
Require Import Coq.ZArith.ZArith.
Local Open Scope Primitives_scope.
Module Paper .

(** [paper::ref_incr] *)
Definition ref_incr_fwd_back (x : i32) : result i32 :=
  x0 <- i32_add x 1 %i32; Return x0 .

(** [paper::test_incr] *)
Definition test_incr_fwd : result unit :=
  x <- ref_incr_fwd_back (0 %i32);
  if negb (x s= 1 %i32) then Fail_ else Return tt
  .

(** Unit test for [paper::test_incr] *)
Check (test_incr_fwd )%return.

(** [paper::choose] *)
Definition choose_fwd (T : Type) (b : bool) (x : T) (y : T) : result T :=
  if b then Return x else Return y .

(** [paper::choose] *)
Definition choose_back
  (T : Type) (b : bool) (x : T) (y : T) (ret : T) : result (T * T) :=
  if b then Return (ret, y) else Return (x, ret) .

(** [paper::test_choose] *)
Definition test_choose_fwd : result unit :=
  z <- choose_fwd i32 true (0 %i32) (0 %i32);
  z0 <- i32_add z 1 %i32;
  if negb (z0 s= 1 %i32)
  then Fail_
  else
    (
      p <- choose_back i32 true (0 %i32) (0 %i32) z0;
      let (x, y) := p in
      if negb (x s= 1 %i32)
      then Fail_
      else if negb (y s= 0 %i32) then Fail_ else Return tt )
  .

(** Unit test for [paper::test_choose] *)
Check (test_choose_fwd )%return.

(** [paper::List] *)
Inductive List_t (T : Type) :=
| ListCons : T -> List_t T -> List_t T
| ListNil : List_t T
.

Arguments ListCons {T} _ _  .
Arguments ListNil {T}  .

(** [paper::list_nth_mut] *)
Fixpoint list_nth_mut_fwd (T : Type) (l : List_t T) (i : u32) : result T :=
  match l with
  | ListCons x tl =>
    if i s= 0 %u32
    then Return x
    else ( i0 <- u32_sub i 1 %u32; t <- list_nth_mut_fwd T tl i0; Return t )
  | ListNil => Fail_
  end
  .

(** [paper::list_nth_mut] *)
Fixpoint list_nth_mut_back
  (T : Type) (l : List_t T) (i : u32) (ret : T) : result (List_t T) :=
  match l with
  | ListCons x tl =>
    if i s= 0 %u32
    then Return (ListCons ret tl)
    else
      (
        i0 <- u32_sub i 1 %u32;
        tl0 <- list_nth_mut_back T tl i0 ret; Return (ListCons x tl0) )
  | ListNil => Fail_
  end
  .

(** [paper::sum] *)
Fixpoint sum_fwd (l : List_t i32) : result i32 :=
  match l with
  | ListCons x tl => i <- sum_fwd tl; i0 <- i32_add x i; Return i0
  | ListNil => Return (0 %i32)
  end
  .

(** [paper::test_nth] *)
Definition test_nth_fwd : result unit :=
  let l := ListNil in
  let l0 := ListCons (3 %i32) l in
  let l1 := ListCons (2 %i32) l0 in
  x <- list_nth_mut_fwd i32 (ListCons (1 %i32) l1) (2 %u32);
  x0 <- i32_add x 1 %i32;
  l2 <- list_nth_mut_back i32 (ListCons (1 %i32) l1) (2 %u32) x0;
  i <- sum_fwd l2; if negb (i s= 7 %i32) then Fail_ else Return tt
  .

(** Unit test for [paper::test_nth] *)
Check (test_nth_fwd )%return.

(** [paper::call_choose] *)
Definition call_choose_fwd (p : (u32 * u32)) : result u32 :=
  let (px, py) := p in
  pz <- choose_fwd u32 true px py;
  pz0 <- u32_add pz 1 %u32;
  p0 <- choose_back u32 true px py pz0; let (px0, _) := p0 in Return px0
  .

End Paper .