(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *)
(** [array]: function definitions *)
Require Import Primitives.
Import Primitives.
Require Import Coq.ZArith.ZArith.
Require Import List.
Import ListNotations.
Local Open Scope Primitives_scope.
Require Export Array_Types.
Import Array_Types.
Module Array_Funs.

(** [array::array_to_shared_slice_]: forward function *)
Definition array_to_shared_slice__fwd
  (T : Type) (s : array T 32%usize) : result (slice T) :=
  array_to_slice_shared T 32%usize s
.

(** [array::array_to_mut_slice_]: forward function *)
Definition array_to_mut_slice__fwd
  (T : Type) (s : array T 32%usize) : result (slice T) :=
  array_to_slice_mut_fwd T 32%usize s
.

(** [array::array_to_mut_slice_]: backward function 0 *)
Definition array_to_mut_slice__back
  (T : Type) (s : array T 32%usize) (ret : slice T) :
  result (array T 32%usize)
  :=
  array_to_slice_mut_back T 32%usize s ret
.

(** [array::array_len]: forward function *)
Definition array_len_fwd (T : Type) (s : array T 32%usize) : result usize :=
  s0 <- array_to_slice_shared T 32%usize s; let i := slice_len T s0 in Return i
.

(** [array::shared_array_len]: forward function *)
Definition shared_array_len_fwd
  (T : Type) (s : array T 32%usize) : result usize :=
  s0 <- array_to_slice_shared T 32%usize s; let i := slice_len T s0 in Return i
.

(** [array::shared_slice_len]: forward function *)
Definition shared_slice_len_fwd (T : Type) (s : slice T) : result usize :=
  let i := slice_len T s in Return i
.

(** [array::index_array_shared]: forward function *)
Definition index_array_shared_fwd
  (T : Type) (s : array T 32%usize) (i : usize) : result T :=
  array_index_shared T 32%usize s i
.

(** [array::index_array_u32]: forward function *)
Definition index_array_u32_fwd
  (s : array u32 32%usize) (i : usize) : result u32 :=
  array_index_shared u32 32%usize s i
.

(** [array::index_array_generic]: forward function *)
Definition index_array_generic_fwd
  (N : usize) (s : array u32 N) (i : usize) : result u32 :=
  array_index_shared u32 N s i
.

(** [array::index_array_generic_call]: forward function *)
Definition index_array_generic_call_fwd
  (N : usize) (s : array u32 N) (i : usize) : result u32 :=
  index_array_generic_fwd N s i
.

(** [array::index_array_copy]: forward function *)
Definition index_array_copy_fwd (x : array u32 32%usize) : result u32 :=
  array_index_shared u32 32%usize x 0%usize
.

(** [array::index_mut_array]: forward function *)
Definition index_mut_array_fwd
  (T : Type) (s : array T 32%usize) (i : usize) : result T :=
  array_index_mut_fwd T 32%usize s i
.

(** [array::index_mut_array]: backward function 0 *)
Definition index_mut_array_back
  (T : Type) (s : array T 32%usize) (i : usize) (ret : T) :
  result (array T 32%usize)
  :=
  array_index_mut_back T 32%usize s i ret
.

(** [array::index_slice]: forward function *)
Definition index_slice_fwd (T : Type) (s : slice T) (i : usize) : result T :=
  slice_index_shared T s i
.

(** [array::index_mut_slice]: forward function *)
Definition index_mut_slice_fwd
  (T : Type) (s : slice T) (i : usize) : result T :=
  slice_index_mut_fwd T s i
.

(** [array::index_mut_slice]: backward function 0 *)
Definition index_mut_slice_back
  (T : Type) (s : slice T) (i : usize) (ret : T) : result (slice T) :=
  slice_index_mut_back T s i ret
.

(** [array::slice_subslice_shared_]: forward function *)
Definition slice_subslice_shared__fwd
  (x : slice u32) (y : usize) (z : usize) : result (slice u32) :=
  slice_subslice_shared u32 x (mk_range y z)
.

(** [array::slice_subslice_mut_]: forward function *)
Definition slice_subslice_mut__fwd
  (x : slice u32) (y : usize) (z : usize) : result (slice u32) :=
  slice_subslice_mut_fwd u32 x (mk_range y z)
.

(** [array::slice_subslice_mut_]: backward function 0 *)
Definition slice_subslice_mut__back
  (x : slice u32) (y : usize) (z : usize) (ret : slice u32) :
  result (slice u32)
  :=
  slice_subslice_mut_back u32 x (mk_range y z) ret
.

(** [array::array_to_slice_shared_]: forward function *)
Definition array_to_slice_shared__fwd
  (x : array u32 32%usize) : result (slice u32) :=
  array_to_slice_shared u32 32%usize x
.

(** [array::array_to_slice_mut_]: forward function *)
Definition array_to_slice_mut__fwd
  (x : array u32 32%usize) : result (slice u32) :=
  array_to_slice_mut_fwd u32 32%usize x
.

(** [array::array_to_slice_mut_]: backward function 0 *)
Definition array_to_slice_mut__back
  (x : array u32 32%usize) (ret : slice u32) : result (array u32 32%usize) :=
  array_to_slice_mut_back u32 32%usize x ret
.

(** [array::array_subslice_shared_]: forward function *)
Definition array_subslice_shared__fwd
  (x : array u32 32%usize) (y : usize) (z : usize) : result (slice u32) :=
  array_subslice_shared u32 32%usize x (mk_range y z)
.

(** [array::array_subslice_mut_]: forward function *)
Definition array_subslice_mut__fwd
  (x : array u32 32%usize) (y : usize) (z : usize) : result (slice u32) :=
  array_subslice_mut_fwd u32 32%usize x (mk_range y z)
.

(** [array::array_subslice_mut_]: backward function 0 *)
Definition array_subslice_mut__back
  (x : array u32 32%usize) (y : usize) (z : usize) (ret : slice u32) :
  result (array u32 32%usize)
  :=
  array_subslice_mut_back u32 32%usize x (mk_range y z) ret
.

(** [array::index_slice_0]: forward function *)
Definition index_slice_0_fwd (T : Type) (s : slice T) : result T :=
  slice_index_shared T s 0%usize
.

(** [array::index_array_0]: forward function *)
Definition index_array_0_fwd (T : Type) (s : array T 32%usize) : result T :=
  array_index_shared T 32%usize s 0%usize
.

(** [array::index_index_array]: forward function *)
Definition index_index_array_fwd
  (s : array (array u32 32%usize) 32%usize) (i : usize) (j : usize) :
  result u32
  :=
  a <- array_index_shared (array u32 32%usize) 32%usize s i;
  array_index_shared u32 32%usize a j
.

(** [array::update_update_array]: forward function *)
Definition update_update_array_fwd
  (s : array (array u32 32%usize) 32%usize) (i : usize) (j : usize) :
  result unit
  :=
  a <- array_index_mut_fwd (array u32 32%usize) 32%usize s i;
  a0 <- array_index_mut_back u32 32%usize a j 0%u32;
  _ <- array_index_mut_back (array u32 32%usize) 32%usize s i a0;
  Return tt
.

(** [array::array_local_deep_copy]: forward function *)
Definition array_local_deep_copy_fwd (x : array u32 32%usize) : result unit :=
  Return tt
.

(** [array::take_array]: forward function *)
Definition take_array_fwd (a : array u32 2%usize) : result unit :=
  Return tt.

(** [array::take_array_borrow]: forward function *)
Definition take_array_borrow_fwd (a : array u32 2%usize) : result unit :=
  Return tt
.

(** [array::take_slice]: forward function *)
Definition take_slice_fwd (s : slice u32) : result unit :=
  Return tt.

(** [array::take_mut_slice]: merged forward/backward function
    (there is a single backward function, and the forward function returns ()) *)
Definition take_mut_slice_fwd_back (s : slice u32) : result (slice u32) :=
  Return s
.

(** [array::take_all]: forward function *)
Definition take_all_fwd : result unit :=
  _ <- take_array_fwd (mk_array u32 2%usize [ 0%u32; 0%u32 ]);
  _ <- take_array_borrow_fwd (mk_array u32 2%usize [ 0%u32; 0%u32 ]);
  s <-
    array_to_slice_shared u32 2%usize (mk_array u32 2%usize [ 0%u32; 0%u32 ]);
  _ <- take_slice_fwd s;
  s0 <-
    array_to_slice_mut_fwd u32 2%usize (mk_array u32 2%usize [ 0%u32; 0%u32 ]);
  s1 <- take_mut_slice_fwd_back s0;
  _ <-
    array_to_slice_mut_back u32 2%usize (mk_array u32 2%usize [ 0%u32; 0%u32 ])
      s1;
  Return tt
.

(** [array::index_array]: forward function *)
Definition index_array_fwd (x : array u32 2%usize) : result u32 :=
  array_index_shared u32 2%usize x 0%usize
.

(** [array::index_array_borrow]: forward function *)
Definition index_array_borrow_fwd (x : array u32 2%usize) : result u32 :=
  array_index_shared u32 2%usize x 0%usize
.

(** [array::index_slice_u32_0]: forward function *)
Definition index_slice_u32_0_fwd (x : slice u32) : result u32 :=
  slice_index_shared u32 x 0%usize
.

(** [array::index_mut_slice_u32_0]: forward function *)
Definition index_mut_slice_u32_0_fwd (x : slice u32) : result u32 :=
  slice_index_shared u32 x 0%usize
.

(** [array::index_mut_slice_u32_0]: backward function 0 *)
Definition index_mut_slice_u32_0_back (x : slice u32) : result (slice u32) :=
  _ <- slice_index_shared u32 x 0%usize; Return x
.

(** [array::index_all]: forward function *)
Definition index_all_fwd : result u32 :=
  i <- index_array_fwd (mk_array u32 2%usize [ 0%u32; 0%u32 ]);
  i0 <- index_array_fwd (mk_array u32 2%usize [ 0%u32; 0%u32 ]);
  i1 <- u32_add i i0;
  i2 <- index_array_borrow_fwd (mk_array u32 2%usize [ 0%u32; 0%u32 ]);
  i3 <- u32_add i1 i2;
  s <-
    array_to_slice_shared u32 2%usize (mk_array u32 2%usize [ 0%u32; 0%u32 ]);
  i4 <- index_slice_u32_0_fwd s;
  i5 <- u32_add i3 i4;
  s0 <-
    array_to_slice_mut_fwd u32 2%usize (mk_array u32 2%usize [ 0%u32; 0%u32 ]);
  i6 <- index_mut_slice_u32_0_fwd s0;
  i7 <- u32_add i5 i6;
  s1 <- index_mut_slice_u32_0_back s0;
  _ <-
    array_to_slice_mut_back u32 2%usize (mk_array u32 2%usize [ 0%u32; 0%u32 ])
      s1;
  Return i7
.

(** [array::update_array]: forward function *)
Definition update_array_fwd (x : array u32 2%usize) : result unit :=
  _ <- array_index_mut_back u32 2%usize x 0%usize 1%u32; Return tt
.

(** [array::update_array_mut_borrow]: merged forward/backward function
    (there is a single backward function, and the forward function returns ()) *)
Definition update_array_mut_borrow_fwd_back
  (x : array u32 2%usize) : result (array u32 2%usize) :=
  array_index_mut_back u32 2%usize x 0%usize 1%u32
.

(** [array::update_mut_slice]: merged forward/backward function
    (there is a single backward function, and the forward function returns ()) *)
Definition update_mut_slice_fwd_back (x : slice u32) : result (slice u32) :=
  slice_index_mut_back u32 x 0%usize 1%u32
.

(** [array::update_all]: forward function *)
Definition update_all_fwd : result unit :=
  _ <- update_array_fwd (mk_array u32 2%usize [ 0%u32; 0%u32 ]);
  x <-
    update_array_mut_borrow_fwd_back (mk_array u32 2%usize [ 0%u32; 0%u32 ]);
  s <- array_to_slice_mut_fwd u32 2%usize x;
  s0 <- update_mut_slice_fwd_back s;
  _ <- array_to_slice_mut_back u32 2%usize x s0;
  Return tt
.

(** [array::range_all]: forward function *)
Definition range_all_fwd : result unit :=
  s <-
    array_subslice_mut_fwd u32 4%usize
      (mk_array u32 4%usize [ 0%u32; 0%u32; 0%u32; 0%u32 ]) (mk_range 1%usize
      3%usize);
  s0 <- update_mut_slice_fwd_back s;
  _ <-
    array_subslice_mut_back u32 4%usize
      (mk_array u32 4%usize [ 0%u32; 0%u32; 0%u32; 0%u32 ]) (mk_range 1%usize
      3%usize) s0;
  Return tt
.

(** [array::deref_array_borrow]: forward function *)
Definition deref_array_borrow_fwd (x : array u32 2%usize) : result u32 :=
  array_index_shared u32 2%usize x 0%usize
.

(** [array::deref_array_mut_borrow]: forward function *)
Definition deref_array_mut_borrow_fwd (x : array u32 2%usize) : result u32 :=
  array_index_shared u32 2%usize x 0%usize
.

(** [array::deref_array_mut_borrow]: backward function 0 *)
Definition deref_array_mut_borrow_back
  (x : array u32 2%usize) : result (array u32 2%usize) :=
  _ <- array_index_shared u32 2%usize x 0%usize; Return x
.

(** [array::take_array_t]: forward function *)
Definition take_array_t_fwd (a : array T_t 2%usize) : result unit :=
  Return tt.

(** [array::non_copyable_array]: forward function *)
Definition non_copyable_array_fwd : result unit :=
  _ <- take_array_t_fwd (mk_array T_t 2%usize [ TA; TB ]); Return tt
.

(** [array::sum]: loop 0: forward function *)
Fixpoint sum_loop_fwd
  (n : nat) (s : slice u32) (sum : u32) (i : usize) : result u32 :=
  match n with
  | O => Fail_ OutOfFuel
  | S n0 =>
    let i0 := slice_len u32 s in
    if i s< i0
    then (
      i1 <- slice_index_shared u32 s i;
      sum0 <- u32_add sum i1;
      i2 <- usize_add i 1%usize;
      sum_loop_fwd n0 s sum0 i2)
    else Return sum
  end
.

(** [array::sum]: forward function *)
Definition sum_fwd (n : nat) (s : slice u32) : result u32 :=
  sum_loop_fwd n s 0%u32 0%usize
.

(** [array::sum2]: loop 0: forward function *)
Fixpoint sum2_loop_fwd
  (n : nat) (s : slice u32) (s2 : slice u32) (sum : u32) (i : usize) :
  result u32
  :=
  match n with
  | O => Fail_ OutOfFuel
  | S n0 =>
    let i0 := slice_len u32 s in
    if i s< i0
    then (
      i1 <- slice_index_shared u32 s i;
      i2 <- slice_index_shared u32 s2 i;
      i3 <- u32_add i1 i2;
      sum0 <- u32_add sum i3;
      i4 <- usize_add i 1%usize;
      sum2_loop_fwd n0 s s2 sum0 i4)
    else Return sum
  end
.

(** [array::sum2]: forward function *)
Definition sum2_fwd (n : nat) (s : slice u32) (s2 : slice u32) : result u32 :=
  let i := slice_len u32 s in
  let i0 := slice_len u32 s2 in
  if negb (i s= i0) then Fail_ Failure else sum2_loop_fwd n s s2 0%u32 0%usize
.

(** [array::f0]: forward function *)
Definition f0_fwd : result unit :=
  s <-
    array_to_slice_mut_fwd u32 2%usize (mk_array u32 2%usize [ 1%u32; 2%u32 ]);
  s0 <- slice_index_mut_back u32 s 0%usize 1%u32;
  _ <-
    array_to_slice_mut_back u32 2%usize (mk_array u32 2%usize [ 1%u32; 2%u32 ])
      s0;
  Return tt
.

(** [array::f1]: forward function *)
Definition f1_fwd : result unit :=
  _ <-
    array_index_mut_back u32 2%usize (mk_array u32 2%usize [ 1%u32; 2%u32 ])
      0%usize 1%u32;
  Return tt
.

(** [array::f2]: forward function *)
Definition f2_fwd (i : u32) : result unit :=
  Return tt.

(** [array::f4]: forward function *)
Definition f4_fwd
  (x : array u32 32%usize) (y : usize) (z : usize) : result (slice u32) :=
  array_subslice_shared u32 32%usize x (mk_range y z)
.

(** [array::f3]: forward function *)
Definition f3_fwd (n : nat) : result u32 :=
  i <-
    array_index_shared u32 2%usize (mk_array u32 2%usize [ 1%u32; 2%u32 ])
      0%usize;
  _ <- f2_fwd i;
  s <-
    array_to_slice_shared u32 2%usize (mk_array u32 2%usize [ 1%u32; 2%u32 ]);
  s0 <-
    f4_fwd
      (mk_array u32 32%usize [
        0%u32; 0%u32; 0%u32; 0%u32; 0%u32; 0%u32; 0%u32; 0%u32; 0%u32; 0%u32;
        0%u32; 0%u32; 0%u32; 0%u32; 0%u32; 0%u32; 0%u32; 0%u32; 0%u32; 0%u32;
        0%u32; 0%u32; 0%u32; 0%u32; 0%u32; 0%u32; 0%u32; 0%u32; 0%u32; 0%u32;
        0%u32; 0%u32
        ]) 16%usize 18%usize;
  sum2_fwd n s s0
.

(** [array::ite]: forward function *)
Definition ite_fwd : result unit :=
  s <-
    array_to_slice_mut_fwd u32 2%usize (mk_array u32 2%usize [ 0%u32; 0%u32 ]);
  s0 <-
    array_to_slice_mut_fwd u32 2%usize (mk_array u32 2%usize [ 0%u32; 0%u32 ]);
  s1 <- index_mut_slice_u32_0_back s0;
  _ <-
    array_to_slice_mut_back u32 2%usize (mk_array u32 2%usize [ 0%u32; 0%u32 ])
      s1;
  s2 <- index_mut_slice_u32_0_back s;
  _ <-
    array_to_slice_mut_back u32 2%usize (mk_array u32 2%usize [ 0%u32; 0%u32 ])
      s2;
  Return tt
.

End Array_Funs .