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-- THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS
-- [array]: function definitions
import Base
import Array.Types
open Primitives

namespace array

/- [array::array_to_shared_slice_]: forward function -/
def array_to_shared_slice_
  (T0 : Type) (s : Array T0 (Usize.ofInt 32)) : Result (Slice T0) :=
  Array.to_slice_shared T0 (Usize.ofInt 32) s

/- [array::array_to_mut_slice_]: forward function -/
def array_to_mut_slice_
  (T0 : Type) (s : Array T0 (Usize.ofInt 32)) : Result (Slice T0) :=
  Array.to_slice_mut T0 (Usize.ofInt 32) s

/- [array::array_to_mut_slice_]: backward function 0 -/
def array_to_mut_slice__back
  (T0 : Type) (s : Array T0 (Usize.ofInt 32)) (ret0 : Slice T0) :
  Result (Array T0 (Usize.ofInt 32))
  :=
  Array.to_slice_mut_back T0 (Usize.ofInt 32) s ret0

/- [array::array_len]: forward function -/
def array_len (T0 : Type) (s : Array T0 (Usize.ofInt 32)) : Result Usize :=
  do
    let s0  Array.to_slice_shared T0 (Usize.ofInt 32) s
    let i := Slice.len T0 s0
    Result.ret i

/- [array::shared_array_len]: forward function -/
def shared_array_len
  (T0 : Type) (s : Array T0 (Usize.ofInt 32)) : Result Usize :=
  do
    let s0  Array.to_slice_shared T0 (Usize.ofInt 32) s
    let i := Slice.len T0 s0
    Result.ret i

/- [array::shared_slice_len]: forward function -/
def shared_slice_len (T0 : Type) (s : Slice T0) : Result Usize :=
  let i := Slice.len T0 s
  Result.ret i

/- [array::index_array_shared]: forward function -/
def index_array_shared
  (T0 : Type) (s : Array T0 (Usize.ofInt 32)) (i : Usize) : Result T0 :=
  Array.index_shared T0 (Usize.ofInt 32) s i

/- [array::index_array_u32]: forward function -/
def index_array_u32
  (s : Array U32 (Usize.ofInt 32)) (i : Usize) : Result U32 :=
  Array.index_shared U32 (Usize.ofInt 32) s i

/- [array::index_array_generic]: forward function -/
def index_array_generic
  (N : Usize) (s : Array U32 N) (i : Usize) : Result U32 :=
  Array.index_shared U32 N s i

/- [array::index_array_generic_call]: forward function -/
def index_array_generic_call
  (N : Usize) (s : Array U32 N) (i : Usize) : Result U32 :=
  index_array_generic N s i

/- [array::index_array_copy]: forward function -/
def index_array_copy (x : Array U32 (Usize.ofInt 32)) : Result U32 :=
  Array.index_shared U32 (Usize.ofInt 32) x (Usize.ofInt 0)

/- [array::index_mut_array]: forward function -/
def index_mut_array
  (T0 : Type) (s : Array T0 (Usize.ofInt 32)) (i : Usize) : Result T0 :=
  Array.index_mut T0 (Usize.ofInt 32) s i

/- [array::index_mut_array]: backward function 0 -/
def index_mut_array_back
  (T0 : Type) (s : Array T0 (Usize.ofInt 32)) (i : Usize) (ret0 : T0) :
  Result (Array T0 (Usize.ofInt 32))
  :=
  Array.index_mut_back T0 (Usize.ofInt 32) s i ret0

/- [array::index_slice]: forward function -/
def index_slice (T0 : Type) (s : Slice T0) (i : Usize) : Result T0 :=
  Slice.index_shared T0 s i

/- [array::index_mut_slice]: forward function -/
def index_mut_slice (T0 : Type) (s : Slice T0) (i : Usize) : Result T0 :=
  Slice.index_mut T0 s i

/- [array::index_mut_slice]: backward function 0 -/
def index_mut_slice_back
  (T0 : Type) (s : Slice T0) (i : Usize) (ret0 : T0) : Result (Slice T0) :=
  Slice.index_mut_back T0 s i ret0

/- [array::slice_subslice_shared_]: forward function -/
def slice_subslice_shared_
  (x : Slice U32) (y : Usize) (z : Usize) : Result (Slice U32) :=
  Slice.subslice_shared U32 x (Range.mk y z)

/- [array::slice_subslice_mut_]: forward function -/
def slice_subslice_mut_
  (x : Slice U32) (y : Usize) (z : Usize) : Result (Slice U32) :=
  Slice.subslice_mut U32 x (Range.mk y z)

/- [array::slice_subslice_mut_]: backward function 0 -/
def slice_subslice_mut__back
  (x : Slice U32) (y : Usize) (z : Usize) (ret0 : Slice U32) :
  Result (Slice U32)
  :=
  Slice.subslice_mut_back U32 x (Range.mk y z) ret0

/- [array::array_to_slice_shared_]: forward function -/
def array_to_slice_shared_
  (x : Array U32 (Usize.ofInt 32)) : Result (Slice U32) :=
  Array.to_slice_shared U32 (Usize.ofInt 32) x

/- [array::array_to_slice_mut_]: forward function -/
def array_to_slice_mut_
  (x : Array U32 (Usize.ofInt 32)) : Result (Slice U32) :=
  Array.to_slice_mut U32 (Usize.ofInt 32) x

/- [array::array_to_slice_mut_]: backward function 0 -/
def array_to_slice_mut__back
  (x : Array U32 (Usize.ofInt 32)) (ret0 : Slice U32) :
  Result (Array U32 (Usize.ofInt 32))
  :=
  Array.to_slice_mut_back U32 (Usize.ofInt 32) x ret0

/- [array::array_subslice_shared_]: forward function -/
def array_subslice_shared_
  (x : Array U32 (Usize.ofInt 32)) (y : Usize) (z : Usize) :
  Result (Slice U32)
  :=
  Array.subslice_shared U32 (Usize.ofInt 32) x (Range.mk y z)

/- [array::array_subslice_mut_]: forward function -/
def array_subslice_mut_
  (x : Array U32 (Usize.ofInt 32)) (y : Usize) (z : Usize) :
  Result (Slice U32)
  :=
  Array.subslice_mut U32 (Usize.ofInt 32) x (Range.mk y z)

/- [array::array_subslice_mut_]: backward function 0 -/
def array_subslice_mut__back
  (x : Array U32 (Usize.ofInt 32)) (y : Usize) (z : Usize) (ret0 : Slice U32) :
  Result (Array U32 (Usize.ofInt 32))
  :=
  Array.subslice_mut_back U32 (Usize.ofInt 32) x (Range.mk y z) ret0

/- [array::index_slice_0]: forward function -/
def index_slice_0 (T0 : Type) (s : Slice T0) : Result T0 :=
  Slice.index_shared T0 s (Usize.ofInt 0)

/- [array::index_array_0]: forward function -/
def index_array_0 (T0 : Type) (s : Array T0 (Usize.ofInt 32)) : Result T0 :=
  Array.index_shared T0 (Usize.ofInt 32) s (Usize.ofInt 0)

/- [array::index_index_array]: forward function -/
def index_index_array
  (s : Array (Array U32 (Usize.ofInt 32)) (Usize.ofInt 32)) (i : Usize)
  (j : Usize) :
  Result U32
  :=
  do
    let a 
      Array.index_shared (Array U32 (Usize.ofInt 32)) (Usize.ofInt 32) s i
    Array.index_shared U32 (Usize.ofInt 32) a j

/- [array::update_update_array]: forward function -/
def update_update_array
  (s : Array (Array U32 (Usize.ofInt 32)) (Usize.ofInt 32)) (i : Usize)
  (j : Usize) :
  Result Unit
  :=
  do
    let a  Array.index_mut (Array U32 (Usize.ofInt 32)) (Usize.ofInt 32) s i
    let a0  Array.index_mut_back U32 (Usize.ofInt 32) a j (U32.ofInt 0)
    let _ 
      Array.index_mut_back (Array U32 (Usize.ofInt 32)) (Usize.ofInt 32) s i a0
    Result.ret ()

/- [array::array_local_deep_copy]: forward function -/
def array_local_deep_copy (x : Array U32 (Usize.ofInt 32)) : Result Unit :=
  Result.ret ()

/- [array::take_array]: forward function -/
def take_array (a : Array U32 (Usize.ofInt 2)) : Result Unit :=
  Result.ret ()

/- [array::take_array_borrow]: forward function -/
def take_array_borrow (a : Array U32 (Usize.ofInt 2)) : Result Unit :=
  Result.ret ()

/- [array::take_slice]: forward function -/
def take_slice (s : Slice U32) : Result Unit :=
  Result.ret ()

/- [array::take_mut_slice]: merged forward/backward function
   (there is a single backward function, and the forward function returns ()) -/
def take_mut_slice (s : Slice U32) : Result (Slice U32) :=
  Result.ret s

/- [array::take_all]: forward function -/
def take_all : Result Unit :=
  do
    let _ 
      take_array
        (Array.make U32 (Usize.ofInt 2) [ (U32.ofInt 0), (U32.ofInt 0) ])
    let _ 
      take_array_borrow
        (Array.make U32 (Usize.ofInt 2) [ (U32.ofInt 0), (U32.ofInt 0) ])
    let s 
      Array.to_slice_shared U32 (Usize.ofInt 2)
        (Array.make U32 (Usize.ofInt 2) [ (U32.ofInt 0), (U32.ofInt 0) ])
    let _  take_slice s
    let s0 
      Array.to_slice_mut U32 (Usize.ofInt 2)
        (Array.make U32 (Usize.ofInt 2) [ (U32.ofInt 0), (U32.ofInt 0) ])
    let s1  take_mut_slice s0
    let _ 
      Array.to_slice_mut_back U32 (Usize.ofInt 2)
        (Array.make U32 (Usize.ofInt 2) [ (U32.ofInt 0), (U32.ofInt 0) ]) s1
    Result.ret ()

/- [array::index_array]: forward function -/
def index_array (x : Array U32 (Usize.ofInt 2)) : Result U32 :=
  Array.index_shared U32 (Usize.ofInt 2) x (Usize.ofInt 0)

/- [array::index_array_borrow]: forward function -/
def index_array_borrow (x : Array U32 (Usize.ofInt 2)) : Result U32 :=
  Array.index_shared U32 (Usize.ofInt 2) x (Usize.ofInt 0)

/- [array::index_slice_u32_0]: forward function -/
def index_slice_u32_0 (x : Slice U32) : Result U32 :=
  Slice.index_shared U32 x (Usize.ofInt 0)

/- [array::index_mut_slice_u32_0]: forward function -/
def index_mut_slice_u32_0 (x : Slice U32) : Result U32 :=
  Slice.index_shared U32 x (Usize.ofInt 0)

/- [array::index_mut_slice_u32_0]: backward function 0 -/
def index_mut_slice_u32_0_back (x : Slice U32) : Result (Slice U32) :=
  do
    let _  Slice.index_shared U32 x (Usize.ofInt 0)
    Result.ret x

/- [array::index_all]: forward function -/
def index_all : Result U32 :=
  do
    let i 
      index_array
        (Array.make U32 (Usize.ofInt 2) [ (U32.ofInt 0), (U32.ofInt 0) ])
    let i0 
      index_array
        (Array.make U32 (Usize.ofInt 2) [ (U32.ofInt 0), (U32.ofInt 0) ])
    let i1  i + i0
    let i2 
      index_array_borrow
        (Array.make U32 (Usize.ofInt 2) [ (U32.ofInt 0), (U32.ofInt 0) ])
    let i3  i1 + i2
    let s 
      Array.to_slice_shared U32 (Usize.ofInt 2)
        (Array.make U32 (Usize.ofInt 2) [ (U32.ofInt 0), (U32.ofInt 0) ])
    let i4  index_slice_u32_0 s
    let i5  i3 + i4
    let s0 
      Array.to_slice_mut U32 (Usize.ofInt 2)
        (Array.make U32 (Usize.ofInt 2) [ (U32.ofInt 0), (U32.ofInt 0) ])
    let i6  index_mut_slice_u32_0 s0
    let i7  i5 + i6
    let s1  index_mut_slice_u32_0_back s0
    let _ 
      Array.to_slice_mut_back U32 (Usize.ofInt 2)
        (Array.make U32 (Usize.ofInt 2) [ (U32.ofInt 0), (U32.ofInt 0) ]) s1
    Result.ret i7

/- [array::update_array]: forward function -/
def update_array (x : Array U32 (Usize.ofInt 2)) : Result Unit :=
  do
    let _ 
      Array.index_mut_back U32 (Usize.ofInt 2) x (Usize.ofInt 0) (U32.ofInt 1)
    Result.ret ()

/- [array::update_array_mut_borrow]: merged forward/backward function
   (there is a single backward function, and the forward function returns ()) -/
def update_array_mut_borrow
  (x : Array U32 (Usize.ofInt 2)) : Result (Array U32 (Usize.ofInt 2)) :=
  Array.index_mut_back U32 (Usize.ofInt 2) x (Usize.ofInt 0) (U32.ofInt 1)

/- [array::update_mut_slice]: merged forward/backward function
   (there is a single backward function, and the forward function returns ()) -/
def update_mut_slice (x : Slice U32) : Result (Slice U32) :=
  Slice.index_mut_back U32 x (Usize.ofInt 0) (U32.ofInt 1)

/- [array::update_all]: forward function -/
def update_all : Result Unit :=
  do
    let _ 
      update_array
        (Array.make U32 (Usize.ofInt 2) [ (U32.ofInt 0), (U32.ofInt 0) ])
    let x 
      update_array_mut_borrow
        (Array.make U32 (Usize.ofInt 2) [ (U32.ofInt 0), (U32.ofInt 0) ])
    let s  Array.to_slice_mut U32 (Usize.ofInt 2) x
    let s0  update_mut_slice s
    let _  Array.to_slice_mut_back U32 (Usize.ofInt 2) x s0
    Result.ret ()

/- [array::range_all]: forward function -/
def range_all : Result Unit :=
  do
    let s 
      Array.subslice_mut U32 (Usize.ofInt 4)
        (Array.make U32 (Usize.ofInt 4) [
          (U32.ofInt 0), (U32.ofInt 0), (U32.ofInt 0), (U32.ofInt 0)
          ]) (Range.mk (Usize.ofInt 1) (Usize.ofInt 3))
    let s0  update_mut_slice s
    let _ 
      Array.subslice_mut_back U32 (Usize.ofInt 4)
        (Array.make U32 (Usize.ofInt 4) [
          (U32.ofInt 0), (U32.ofInt 0), (U32.ofInt 0), (U32.ofInt 0)
          ]) (Range.mk (Usize.ofInt 1) (Usize.ofInt 3)) s0
    Result.ret ()

/- [array::deref_array_borrow]: forward function -/
def deref_array_borrow (x : Array U32 (Usize.ofInt 2)) : Result U32 :=
  Array.index_shared U32 (Usize.ofInt 2) x (Usize.ofInt 0)

/- [array::deref_array_mut_borrow]: forward function -/
def deref_array_mut_borrow (x : Array U32 (Usize.ofInt 2)) : Result U32 :=
  Array.index_shared U32 (Usize.ofInt 2) x (Usize.ofInt 0)

/- [array::deref_array_mut_borrow]: backward function 0 -/
def deref_array_mut_borrow_back
  (x : Array U32 (Usize.ofInt 2)) : Result (Array U32 (Usize.ofInt 2)) :=
  do
    let _  Array.index_shared U32 (Usize.ofInt 2) x (Usize.ofInt 0)
    Result.ret x

/- [array::take_array_t]: forward function -/
def take_array_t (a : Array T (Usize.ofInt 2)) : Result Unit :=
  Result.ret ()

/- [array::non_copyable_array]: forward function -/
def non_copyable_array : Result Unit :=
  do
    let _  take_array_t (Array.make T (Usize.ofInt 2) [ T.A, T.B ])
    Result.ret ()

/- [array::sum]: loop 0: forward function -/
divergent def sum_loop (s : Slice U32) (sum0 : U32) (i : Usize) : Result U32 :=
  let i0 := Slice.len U32 s
  if i < i0
  then
    do
      let i1  Slice.index_shared U32 s i
      let sum1  sum0 + i1
      let i2  i + (Usize.ofInt 1)
      sum_loop s sum1 i2
  else Result.ret sum0

/- [array::sum]: forward function -/
def sum (s : Slice U32) : Result U32 :=
  sum_loop s (U32.ofInt 0) (Usize.ofInt 0)

/- [array::sum2]: loop 0: forward function -/
divergent def sum2_loop
  (s : Slice U32) (s2 : Slice U32) (sum0 : U32) (i : Usize) : Result U32 :=
  let i0 := Slice.len U32 s
  if i < i0
  then
    do
      let i1  Slice.index_shared U32 s i
      let i2  Slice.index_shared U32 s2 i
      let i3  i1 + i2
      let sum1  sum0 + i3
      let i4  i + (Usize.ofInt 1)
      sum2_loop s s2 sum1 i4
  else Result.ret sum0

/- [array::sum2]: forward function -/
def sum2 (s : Slice U32) (s2 : Slice U32) : Result U32 :=
  let i := Slice.len U32 s
  let i0 := Slice.len U32 s2
  if not (i = i0)
  then Result.fail Error.panic
  else sum2_loop s s2 (U32.ofInt 0) (Usize.ofInt 0)

/- [array::f0]: forward function -/
def f0 : Result Unit :=
  do
    let s 
      Array.to_slice_mut U32 (Usize.ofInt 2)
        (Array.make U32 (Usize.ofInt 2) [ (U32.ofInt 1), (U32.ofInt 2) ])
    let s0  Slice.index_mut_back U32 s (Usize.ofInt 0) (U32.ofInt 1)
    let _ 
      Array.to_slice_mut_back U32 (Usize.ofInt 2)
        (Array.make U32 (Usize.ofInt 2) [ (U32.ofInt 1), (U32.ofInt 2) ]) s0
    Result.ret ()

/- [array::f1]: forward function -/
def f1 : Result Unit :=
  do
    let _ 
      Array.index_mut_back U32 (Usize.ofInt 2)
        (Array.make U32 (Usize.ofInt 2) [ (U32.ofInt 1), (U32.ofInt 2) ])
        (Usize.ofInt 0) (U32.ofInt 1)
    Result.ret ()

/- [array::f2]: forward function -/
def f2 (i : U32) : Result Unit :=
  Result.ret ()

/- [array::f4]: forward function -/
def f4
  (x : Array U32 (Usize.ofInt 32)) (y : Usize) (z : Usize) :
  Result (Slice U32)
  :=
  Array.subslice_shared U32 (Usize.ofInt 32) x (Range.mk y z)

/- [array::f3]: forward function -/
def f3 : Result U32 :=
  do
    let i 
      Array.index_shared U32 (Usize.ofInt 2)
        (Array.make U32 (Usize.ofInt 2) [ (U32.ofInt 1), (U32.ofInt 2) ])
        (Usize.ofInt 0)
    let _  f2 i
    let s 
      Array.to_slice_shared U32 (Usize.ofInt 2)
        (Array.make U32 (Usize.ofInt 2) [ (U32.ofInt 1), (U32.ofInt 2) ])
    let s0 
      f4
        (Array.make U32 (Usize.ofInt 32) [
          (U32.ofInt 0), (U32.ofInt 0), (U32.ofInt 0), (U32.ofInt 0),
          (U32.ofInt 0), (U32.ofInt 0), (U32.ofInt 0), (U32.ofInt 0),
          (U32.ofInt 0), (U32.ofInt 0), (U32.ofInt 0), (U32.ofInt 0),
          (U32.ofInt 0), (U32.ofInt 0), (U32.ofInt 0), (U32.ofInt 0),
          (U32.ofInt 0), (U32.ofInt 0), (U32.ofInt 0), (U32.ofInt 0),
          (U32.ofInt 0), (U32.ofInt 0), (U32.ofInt 0), (U32.ofInt 0),
          (U32.ofInt 0), (U32.ofInt 0), (U32.ofInt 0), (U32.ofInt 0),
          (U32.ofInt 0), (U32.ofInt 0), (U32.ofInt 0), (U32.ofInt 0)
          ]) (Usize.ofInt 16) (Usize.ofInt 18)
    sum2 s s0

/- [array::ite]: forward function -/
def ite : Result Unit :=
  do
    let s 
      Array.to_slice_mut U32 (Usize.ofInt 2)
        (Array.make U32 (Usize.ofInt 2) [ (U32.ofInt 0), (U32.ofInt 0) ])
    let s0 
      Array.to_slice_mut U32 (Usize.ofInt 2)
        (Array.make U32 (Usize.ofInt 2) [ (U32.ofInt 0), (U32.ofInt 0) ])
    let s1  index_mut_slice_u32_0_back s0
    let _ 
      Array.to_slice_mut_back U32 (Usize.ofInt 2)
        (Array.make U32 (Usize.ofInt 2) [ (U32.ofInt 0), (U32.ofInt 0) ]) s1
    let s2  index_mut_slice_u32_0_back s
    let _ 
      Array.to_slice_mut_back U32 (Usize.ofInt 2)
        (Array.make U32 (Usize.ofInt 2) [ (U32.ofInt 0), (U32.ofInt 0) ]) s2
    Result.ret ()

end array