(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *)
(** [array]: function definitions *)
module Array.Funs
open Primitives
include Array.Types
include Array.Clauses

#set-options "--z3rlimit 50 --fuel 1 --ifuel 1"

(** [array::array_to_shared_slice_]: forward function *)
let array_to_shared_slice__fwd
  (t : Type0) (s : array t 32) : result (slice t) =
  array_to_slice_shared t 32 s

(** [array::array_to_mut_slice_]: forward function *)
let array_to_mut_slice__fwd (t : Type0) (s : array t 32) : result (slice t) =
  array_to_slice_mut_fwd t 32 s

(** [array::array_to_mut_slice_]: backward function 0 *)
let array_to_mut_slice__back
  (t : Type0) (s : array t 32) (ret : slice t) : result (array t 32) =
  array_to_slice_mut_back t 32 s ret

(** [array::array_len]: forward function *)
let array_len_fwd (t : Type0) (s : array t 32) : result usize =
  let* s0 = array_to_slice_shared t 32 s in let i = slice_len t s0 in Return i

(** [array::shared_array_len]: forward function *)
let shared_array_len_fwd (t : Type0) (s : array t 32) : result usize =
  let* s0 = array_to_slice_shared t 32 s in let i = slice_len t s0 in Return i

(** [array::shared_slice_len]: forward function *)
let shared_slice_len_fwd (t : Type0) (s : slice t) : result usize =
  let i = slice_len t s in Return i

(** [array::index_array_shared]: forward function *)
let index_array_shared_fwd
  (t : Type0) (s : array t 32) (i : usize) : result t =
  array_index_shared t 32 s i

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

(** [array::index_array_generic]: forward function *)
let 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 *)
let 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 *)
let index_array_copy_fwd (x : array u32 32) : result u32 =
  array_index_shared u32 32 x 0

(** [array::index_mut_array]: forward function *)
let index_mut_array_fwd (t : Type0) (s : array t 32) (i : usize) : result t =
  array_index_mut_fwd t 32 s i

(** [array::index_mut_array]: backward function 0 *)
let index_mut_array_back
  (t : Type0) (s : array t 32) (i : usize) (ret : t) : result (array t 32) =
  array_index_mut_back t 32 s i ret

(** [array::index_slice]: forward function *)
let index_slice_fwd (t : Type0) (s : slice t) (i : usize) : result t =
  slice_index_shared t s i

(** [array::index_mut_slice]: forward function *)
let index_mut_slice_fwd (t : Type0) (s : slice t) (i : usize) : result t =
  slice_index_mut_fwd t s i

(** [array::index_mut_slice]: backward function 0 *)
let index_mut_slice_back
  (t : Type0) (s : slice t) (i : usize) (ret : t) : result (slice t) =
  slice_index_mut_back t s i ret

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

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

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

(** [array::array_to_slice_shared_]: forward function *)
let array_to_slice_shared__fwd (x : array u32 32) : result (slice u32) =
  array_to_slice_shared u32 32 x

(** [array::array_to_slice_mut_]: forward function *)
let array_to_slice_mut__fwd (x : array u32 32) : result (slice u32) =
  array_to_slice_mut_fwd u32 32 x

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

(** [array::array_subslice_shared_]: forward function *)
let array_subslice_shared__fwd
  (x : array u32 32) (y : usize) (z : usize) : result (slice u32) =
  array_subslice_shared u32 32 x (Mkrange y z)

(** [array::array_subslice_mut_]: forward function *)
let array_subslice_mut__fwd
  (x : array u32 32) (y : usize) (z : usize) : result (slice u32) =
  array_subslice_mut_fwd u32 32 x (Mkrange y z)

(** [array::array_subslice_mut_]: backward function 0 *)
let array_subslice_mut__back
  (x : array u32 32) (y : usize) (z : usize) (ret : slice u32) :
  result (array u32 32)
  =
  array_subslice_mut_back u32 32 x (Mkrange y z) ret

(** [array::index_slice_0]: forward function *)
let index_slice_0_fwd (t : Type0) (s : slice t) : result t =
  slice_index_shared t s 0

(** [array::index_array_0]: forward function *)
let index_array_0_fwd (t : Type0) (s : array t 32) : result t =
  array_index_shared t 32 s 0

(** [array::index_index_array]: forward function *)
let index_index_array_fwd
  (s : array (array u32 32) 32) (i : usize) (j : usize) : result u32 =
  let* a = array_index_shared (array u32 32) 32 s i in
  array_index_shared u32 32 a j

(** [array::update_update_array]: forward function *)
let update_update_array_fwd
  (s : array (array u32 32) 32) (i : usize) (j : usize) : result unit =
  let* a = array_index_mut_fwd (array u32 32) 32 s i in
  let* a0 = array_index_mut_back u32 32 a j 0 in
  let* _ = array_index_mut_back (array u32 32) 32 s i a0 in
  Return ()

(** [array::array_local_deep_copy]: forward function *)
let array_local_deep_copy_fwd (x : array u32 32) : result unit =
  Return ()

(** [array::take_array]: forward function *)
let take_array_fwd (a : array u32 2) : result unit =
  Return ()

(** [array::take_array_borrow]: forward function *)
let take_array_borrow_fwd (a : array u32 2) : result unit =
  Return ()

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

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

(** [array::take_all]: forward function *)
let take_all_fwd : result unit =
  let* _ = take_array_fwd (mk_array u32 2 [ 0; 0 ]) in
  let* _ = take_array_borrow_fwd (mk_array u32 2 [ 0; 0 ]) in
  let* s = array_to_slice_shared u32 2 (mk_array u32 2 [ 0; 0 ]) in
  let* _ = take_slice_fwd s in
  let* s0 = array_to_slice_mut_fwd u32 2 (mk_array u32 2 [ 0; 0 ]) in
  let* s1 = take_mut_slice_fwd_back s0 in
  let* _ = array_to_slice_mut_back u32 2 (mk_array u32 2 [ 0; 0 ]) s1 in
  Return ()

(** [array::index_array]: forward function *)
let index_array_fwd (x : array u32 2) : result u32 =
  array_index_shared u32 2 x 0

(** [array::index_array_borrow]: forward function *)
let index_array_borrow_fwd (x : array u32 2) : result u32 =
  array_index_shared u32 2 x 0

(** [array::index_slice_u32_0]: forward function *)
let index_slice_u32_0_fwd (x : slice u32) : result u32 =
  slice_index_shared u32 x 0

(** [array::index_mut_slice_u32_0]: forward function *)
let index_mut_slice_u32_0_fwd (x : slice u32) : result u32 =
  slice_index_shared u32 x 0

(** [array::index_mut_slice_u32_0]: backward function 0 *)
let index_mut_slice_u32_0_back (x : slice u32) : result (slice u32) =
  let* _ = slice_index_shared u32 x 0 in Return x

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

(** [array::update_array]: forward function *)
let update_array_fwd (x : array u32 2) : result unit =
  let* _ = array_index_mut_back u32 2 x 0 1 in Return ()

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

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

(** [array::update_all]: forward function *)
let update_all_fwd : result unit =
  let* _ = update_array_fwd (mk_array u32 2 [ 0; 0 ]) in
  let* x = update_array_mut_borrow_fwd_back (mk_array u32 2 [ 0; 0 ]) in
  let* s = array_to_slice_mut_fwd u32 2 x in
  let* s0 = update_mut_slice_fwd_back s in
  let* _ = array_to_slice_mut_back u32 2 x s0 in
  Return ()

(** [array::range_all]: forward function *)
let range_all_fwd : result unit =
  let* s =
    array_subslice_mut_fwd u32 4 (mk_array u32 4 [ 0; 0; 0; 0 ]) (Mkrange 1 3)
    in
  let* s0 = update_mut_slice_fwd_back s in
  let* _ =
    array_subslice_mut_back u32 4 (mk_array u32 4 [ 0; 0; 0; 0 ]) (Mkrange 1 3)
      s0 in
  Return ()

(** [array::deref_array_borrow]: forward function *)
let deref_array_borrow_fwd (x : array u32 2) : result u32 =
  array_index_shared u32 2 x 0

(** [array::deref_array_mut_borrow]: forward function *)
let deref_array_mut_borrow_fwd (x : array u32 2) : result u32 =
  array_index_shared u32 2 x 0

(** [array::deref_array_mut_borrow]: backward function 0 *)
let deref_array_mut_borrow_back (x : array u32 2) : result (array u32 2) =
  let* _ = array_index_shared u32 2 x 0 in Return x

(** [array::take_array_t]: forward function *)
let take_array_t_fwd (a : array t_t 2) : result unit =
  Return ()

(** [array::non_copyable_array]: forward function *)
let non_copyable_array_fwd : result unit =
  let* _ = take_array_t_fwd (mk_array t_t 2 [ TA; TB ]) in Return ()

(** [array::sum]: loop 0: forward function *)
let rec sum_loop_fwd
  (s : slice u32) (sum : u32) (i : usize) :
  Tot (result u32) (decreases (sum_loop_decreases s sum i))
  =
  let i0 = slice_len u32 s in
  if i < i0
  then
    let* i1 = slice_index_shared u32 s i in
    let* sum0 = u32_add sum i1 in
    let* i2 = usize_add i 1 in
    sum_loop_fwd s sum0 i2
  else Return sum

(** [array::sum]: forward function *)
let sum_fwd (s : slice u32) : result u32 =
  sum_loop_fwd s 0 0

(** [array::sum2]: loop 0: forward function *)
let rec sum2_loop_fwd
  (s : slice u32) (s2 : slice u32) (sum : u32) (i : usize) :
  Tot (result u32) (decreases (sum2_loop_decreases s s2 sum i))
  =
  let i0 = slice_len u32 s in
  if i < i0
  then
    let* i1 = slice_index_shared u32 s i in
    let* i2 = slice_index_shared u32 s2 i in
    let* i3 = u32_add i1 i2 in
    let* sum0 = u32_add sum i3 in
    let* i4 = usize_add i 1 in
    sum2_loop_fwd s s2 sum0 i4
  else Return sum

(** [array::sum2]: forward function *)
let sum2_fwd (s : slice u32) (s2 : slice u32) : result u32 =
  let i = slice_len u32 s in
  let i0 = slice_len u32 s2 in
  if not (i = i0) then Fail Failure else sum2_loop_fwd s s2 0 0

(** [array::f0]: forward function *)
let f0_fwd : result unit =
  let* s = array_to_slice_mut_fwd u32 2 (mk_array u32 2 [ 1; 2 ]) in
  let* s0 = slice_index_mut_back u32 s 0 1 in
  let* _ = array_to_slice_mut_back u32 2 (mk_array u32 2 [ 1; 2 ]) s0 in
  Return ()

(** [array::f1]: forward function *)
let f1_fwd : result unit =
  let* _ = array_index_mut_back u32 2 (mk_array u32 2 [ 1; 2 ]) 0 1 in
  Return ()

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

(** [array::f4]: forward function *)
let f4_fwd (x : array u32 32) (y : usize) (z : usize) : result (slice u32) =
  array_subslice_shared u32 32 x (Mkrange y z)

(** [array::f3]: forward function *)
let f3_fwd : result u32 =
  let* i = array_index_shared u32 2 (mk_array u32 2 [ 1; 2 ]) 0 in
  let* _ = f2_fwd i in
  let* s = array_to_slice_shared u32 2 (mk_array u32 2 [ 1; 2 ]) in
  let* s0 =
    f4_fwd
      (mk_array u32 32 [
        0; 0; 0; 0; 0; 0; 0; 0; 0; 0; 0; 0; 0; 0; 0; 0; 0; 0; 0; 0; 0; 0; 0; 0;
        0; 0; 0; 0; 0; 0; 0; 0
        ]) 16 18 in
  sum2_fwd s s0

(** [array::ite]: forward function *)
let ite_fwd : result unit =
  let* s = array_to_slice_mut_fwd u32 2 (mk_array u32 2 [ 0; 0 ]) in
  let* s0 = array_to_slice_mut_fwd u32 2 (mk_array u32 2 [ 0; 0 ]) in
  let* s1 = index_mut_slice_u32_0_back s0 in
  let* _ = array_to_slice_mut_back u32 2 (mk_array u32 2 [ 0; 0 ]) s1 in
  let* s2 = index_mut_slice_u32_0_back s in
  let* _ = array_to_slice_mut_back u32 2 (mk_array u32 2 [ 0; 0 ]) s2 in
  Return ()