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+(** 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::incr]: merged forward/backward function
+ (there is a single backward function, and the forward function returns ())
+ Source: 'src/array.rs', lines 8:0-8:24 *)
+let incr (x : u32) : result u32 =
+ u32_add x 1
+
+(** [array::array_to_shared_slice_]: forward function
+ Source: 'src/array.rs', lines 16:0-16:53 *)
+let array_to_shared_slice_ (t : Type0) (s : array t 32) : result (slice t) =
+ array_to_slice t 32 s
+
+(** [array::array_to_mut_slice_]: forward function
+ Source: 'src/array.rs', lines 21:0-21:58 *)
+let array_to_mut_slice_ (t : Type0) (s : array t 32) : result (slice t) =
+ array_to_slice t 32 s
+
+(** [array::array_to_mut_slice_]: backward function 0
+ Source: 'src/array.rs', lines 21:0-21:58 *)
+let array_to_mut_slice__back
+ (t : Type0) (s : array t 32) (ret : slice t) : result (array t 32) =
+ array_from_slice t 32 s ret
+
+(** [array::array_len]: forward function
+ Source: 'src/array.rs', lines 25:0-25:40 *)
+let array_len (t : Type0) (s : array t 32) : result usize =
+ let* s1 = array_to_slice t 32 s in let i = slice_len t s1 in Return i
+
+(** [array::shared_array_len]: forward function
+ Source: 'src/array.rs', lines 29:0-29:48 *)
+let shared_array_len (t : Type0) (s : array t 32) : result usize =
+ let* s1 = array_to_slice t 32 s in let i = slice_len t s1 in Return i
+
+(** [array::shared_slice_len]: forward function
+ Source: 'src/array.rs', lines 33:0-33:44 *)
+let shared_slice_len (t : Type0) (s : slice t) : result usize =
+ let i = slice_len t s in Return i
+
+(** [array::index_array_shared]: forward function
+ Source: 'src/array.rs', lines 37:0-37:57 *)
+let index_array_shared (t : Type0) (s : array t 32) (i : usize) : result t =
+ array_index_usize t 32 s i
+
+(** [array::index_array_u32]: forward function
+ Source: 'src/array.rs', lines 44:0-44:53 *)
+let index_array_u32 (s : array u32 32) (i : usize) : result u32 =
+ array_index_usize u32 32 s i
+
+(** [array::index_array_copy]: forward function
+ Source: 'src/array.rs', lines 48:0-48:45 *)
+let index_array_copy (x : array u32 32) : result u32 =
+ array_index_usize u32 32 x 0
+
+(** [array::index_mut_array]: forward function
+ Source: 'src/array.rs', lines 52:0-52:62 *)
+let index_mut_array (t : Type0) (s : array t 32) (i : usize) : result t =
+ array_index_usize t 32 s i
+
+(** [array::index_mut_array]: backward function 0
+ Source: 'src/array.rs', lines 52:0-52:62 *)
+let index_mut_array_back
+ (t : Type0) (s : array t 32) (i : usize) (ret : t) : result (array t 32) =
+ array_update_usize t 32 s i ret
+
+(** [array::index_slice]: forward function
+ Source: 'src/array.rs', lines 56:0-56:46 *)
+let index_slice (t : Type0) (s : slice t) (i : usize) : result t =
+ slice_index_usize t s i
+
+(** [array::index_mut_slice]: forward function
+ Source: 'src/array.rs', lines 60:0-60:58 *)
+let index_mut_slice (t : Type0) (s : slice t) (i : usize) : result t =
+ slice_index_usize t s i
+
+(** [array::index_mut_slice]: backward function 0
+ Source: 'src/array.rs', lines 60:0-60:58 *)
+let index_mut_slice_back
+ (t : Type0) (s : slice t) (i : usize) (ret : t) : result (slice t) =
+ slice_update_usize t s i ret
+
+(** [array::slice_subslice_shared_]: forward function
+ Source: 'src/array.rs', lines 64:0-64:70 *)
+let slice_subslice_shared_
+ (x : slice u32) (y : usize) (z : usize) : result (slice u32) =
+ core_slice_index_Slice_index u32 (core_ops_range_Range usize)
+ (core_slice_index_SliceIndexRangeUsizeSliceTInst u32) x
+ { start = y; end_ = z }
+
+(** [array::slice_subslice_mut_]: forward function
+ Source: 'src/array.rs', lines 68:0-68:75 *)
+let slice_subslice_mut_
+ (x : slice u32) (y : usize) (z : usize) : result (slice u32) =
+ core_slice_index_Slice_index_mut u32 (core_ops_range_Range usize)
+ (core_slice_index_SliceIndexRangeUsizeSliceTInst u32) x
+ { start = y; end_ = z }
+
+(** [array::slice_subslice_mut_]: backward function 0
+ Source: 'src/array.rs', lines 68:0-68:75 *)
+let slice_subslice_mut__back
+ (x : slice u32) (y : usize) (z : usize) (ret : slice u32) :
+ result (slice u32)
+ =
+ core_slice_index_Slice_index_mut_back u32 (core_ops_range_Range usize)
+ (core_slice_index_SliceIndexRangeUsizeSliceTInst u32) x
+ { start = y; end_ = z } ret
+
+(** [array::array_to_slice_shared_]: forward function
+ Source: 'src/array.rs', lines 72:0-72:54 *)
+let array_to_slice_shared_ (x : array u32 32) : result (slice u32) =
+ array_to_slice u32 32 x
+
+(** [array::array_to_slice_mut_]: forward function
+ Source: 'src/array.rs', lines 76:0-76:59 *)
+let array_to_slice_mut_ (x : array u32 32) : result (slice u32) =
+ array_to_slice u32 32 x
+
+(** [array::array_to_slice_mut_]: backward function 0
+ Source: 'src/array.rs', lines 76:0-76:59 *)
+let array_to_slice_mut__back
+ (x : array u32 32) (ret : slice u32) : result (array u32 32) =
+ array_from_slice u32 32 x ret
+
+(** [array::array_subslice_shared_]: forward function
+ Source: 'src/array.rs', lines 80:0-80:74 *)
+let array_subslice_shared_
+ (x : array u32 32) (y : usize) (z : usize) : result (slice u32) =
+ core_array_Array_index u32 (core_ops_range_Range usize) 32
+ (core_ops_index_IndexSliceTIInst u32 (core_ops_range_Range usize)
+ (core_slice_index_SliceIndexRangeUsizeSliceTInst u32)) x
+ { start = y; end_ = z }
+
+(** [array::array_subslice_mut_]: forward function
+ Source: 'src/array.rs', lines 84:0-84:79 *)
+let array_subslice_mut_
+ (x : array u32 32) (y : usize) (z : usize) : result (slice u32) =
+ core_array_Array_index_mut u32 (core_ops_range_Range usize) 32
+ (core_ops_index_IndexMutSliceTIInst u32 (core_ops_range_Range usize)
+ (core_slice_index_SliceIndexRangeUsizeSliceTInst u32)) x
+ { start = y; end_ = z }
+
+(** [array::array_subslice_mut_]: backward function 0
+ Source: 'src/array.rs', lines 84:0-84:79 *)
+let array_subslice_mut__back
+ (x : array u32 32) (y : usize) (z : usize) (ret : slice u32) :
+ result (array u32 32)
+ =
+ core_array_Array_index_mut_back u32 (core_ops_range_Range usize) 32
+ (core_ops_index_IndexMutSliceTIInst u32 (core_ops_range_Range usize)
+ (core_slice_index_SliceIndexRangeUsizeSliceTInst u32)) x
+ { start = y; end_ = z } ret
+
+(** [array::index_slice_0]: forward function
+ Source: 'src/array.rs', lines 88:0-88:38 *)
+let index_slice_0 (t : Type0) (s : slice t) : result t =
+ slice_index_usize t s 0
+
+(** [array::index_array_0]: forward function
+ Source: 'src/array.rs', lines 92:0-92:42 *)
+let index_array_0 (t : Type0) (s : array t 32) : result t =
+ array_index_usize t 32 s 0
+
+(** [array::index_index_array]: forward function
+ Source: 'src/array.rs', lines 103:0-103:71 *)
+let index_index_array
+ (s : array (array u32 32) 32) (i : usize) (j : usize) : result u32 =
+ let* a = array_index_usize (array u32 32) 32 s i in
+ array_index_usize u32 32 a j
+
+(** [array::update_update_array]: forward function
+ Source: 'src/array.rs', lines 114:0-114:70 *)
+let update_update_array
+ (s : array (array u32 32) 32) (i : usize) (j : usize) : result unit =
+ let* a = array_index_usize (array u32 32) 32 s i in
+ let* a1 = array_update_usize u32 32 a j 0 in
+ let* _ = array_update_usize (array u32 32) 32 s i a1 in
+ Return ()
+
+(** [array::array_local_deep_copy]: forward function
+ Source: 'src/array.rs', lines 118:0-118:43 *)
+let array_local_deep_copy (x : array u32 32) : result unit =
+ Return ()
+
+(** [array::take_array]: forward function
+ Source: 'src/array.rs', lines 122:0-122:30 *)
+let take_array (a : array u32 2) : result unit =
+ Return ()
+
+(** [array::take_array_borrow]: forward function
+ Source: 'src/array.rs', lines 123:0-123:38 *)
+let take_array_borrow (a : array u32 2) : result unit =
+ Return ()
+
+(** [array::take_slice]: forward function
+ Source: 'src/array.rs', lines 124:0-124:28 *)
+let take_slice (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 ())
+ Source: 'src/array.rs', lines 125:0-125:36 *)
+let take_mut_slice (s : slice u32) : result (slice u32) =
+ Return s
+
+(** [array::const_array]: forward function
+ Source: 'src/array.rs', lines 127:0-127:32 *)
+let const_array : result (array u32 2) =
+ Return (mk_array u32 2 [ 0; 0 ])
+
+(** [array::const_slice]: forward function
+ Source: 'src/array.rs', lines 131:0-131:20 *)
+let const_slice : result unit =
+ let* _ = array_to_slice u32 2 (mk_array u32 2 [ 0; 0 ]) in Return ()
+
+(** [array::take_all]: forward function
+ Source: 'src/array.rs', lines 141:0-141:17 *)
+let take_all : result unit =
+ let* _ = take_array (mk_array u32 2 [ 0; 0 ]) in
+ let* _ = take_array_borrow (mk_array u32 2 [ 0; 0 ]) in
+ let* s = array_to_slice u32 2 (mk_array u32 2 [ 0; 0 ]) in
+ let* _ = take_slice s in
+ let* s1 = array_to_slice u32 2 (mk_array u32 2 [ 0; 0 ]) in
+ let* s2 = take_mut_slice s1 in
+ let* _ = array_from_slice u32 2 (mk_array u32 2 [ 0; 0 ]) s2 in
+ Return ()
+
+(** [array::index_array]: forward function
+ Source: 'src/array.rs', lines 155:0-155:38 *)
+let index_array (x : array u32 2) : result u32 =
+ array_index_usize u32 2 x 0
+
+(** [array::index_array_borrow]: forward function
+ Source: 'src/array.rs', lines 158:0-158:46 *)
+let index_array_borrow (x : array u32 2) : result u32 =
+ array_index_usize u32 2 x 0
+
+(** [array::index_slice_u32_0]: forward function
+ Source: 'src/array.rs', lines 162:0-162:42 *)
+let index_slice_u32_0 (x : slice u32) : result u32 =
+ slice_index_usize u32 x 0
+
+(** [array::index_mut_slice_u32_0]: forward function
+ Source: 'src/array.rs', lines 166:0-166:50 *)
+let index_mut_slice_u32_0 (x : slice u32) : result u32 =
+ slice_index_usize u32 x 0
+
+(** [array::index_mut_slice_u32_0]: backward function 0
+ Source: 'src/array.rs', lines 166:0-166:50 *)
+let index_mut_slice_u32_0_back (x : slice u32) : result (slice u32) =
+ let* _ = slice_index_usize u32 x 0 in Return x
+
+(** [array::index_all]: forward function
+ Source: 'src/array.rs', lines 170:0-170:25 *)
+let index_all : result u32 =
+ let* i = index_array (mk_array u32 2 [ 0; 0 ]) in
+ let* i1 = index_array (mk_array u32 2 [ 0; 0 ]) in
+ let* i2 = u32_add i i1 in
+ let* i3 = index_array_borrow (mk_array u32 2 [ 0; 0 ]) in
+ let* i4 = u32_add i2 i3 in
+ let* s = array_to_slice u32 2 (mk_array u32 2 [ 0; 0 ]) in
+ let* i5 = index_slice_u32_0 s in
+ let* i6 = u32_add i4 i5 in
+ let* s1 = array_to_slice u32 2 (mk_array u32 2 [ 0; 0 ]) in
+ let* i7 = index_mut_slice_u32_0 s1 in
+ let* i8 = u32_add i6 i7 in
+ let* s2 = index_mut_slice_u32_0_back s1 in
+ let* _ = array_from_slice u32 2 (mk_array u32 2 [ 0; 0 ]) s2 in
+ Return i8
+
+(** [array::update_array]: forward function
+ Source: 'src/array.rs', lines 184:0-184:36 *)
+let update_array (x : array u32 2) : result unit =
+ let* _ = array_update_usize 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 ())
+ Source: 'src/array.rs', lines 187:0-187:48 *)
+let update_array_mut_borrow (x : array u32 2) : result (array u32 2) =
+ array_update_usize u32 2 x 0 1
+
+(** [array::update_mut_slice]: merged forward/backward function
+ (there is a single backward function, and the forward function returns ())
+ Source: 'src/array.rs', lines 190:0-190:38 *)
+let update_mut_slice (x : slice u32) : result (slice u32) =
+ slice_update_usize u32 x 0 1
+
+(** [array::update_all]: forward function
+ Source: 'src/array.rs', lines 194:0-194:19 *)
+let update_all : result unit =
+ let* _ = update_array (mk_array u32 2 [ 0; 0 ]) in
+ let* x = update_array_mut_borrow (mk_array u32 2 [ 0; 0 ]) in
+ let* s = array_to_slice u32 2 x in
+ let* s1 = update_mut_slice s in
+ let* _ = array_from_slice u32 2 x s1 in
+ Return ()
+
+(** [array::range_all]: forward function
+ Source: 'src/array.rs', lines 205:0-205:18 *)
+let range_all : result unit =
+ let* s =
+ core_array_Array_index_mut u32 (core_ops_range_Range usize) 4
+ (core_ops_index_IndexMutSliceTIInst u32 (core_ops_range_Range usize)
+ (core_slice_index_SliceIndexRangeUsizeSliceTInst u32))
+ (mk_array u32 4 [ 0; 0; 0; 0 ]) { start = 1; end_ = 3 } in
+ let* s1 = update_mut_slice s in
+ let* _ =
+ core_array_Array_index_mut_back u32 (core_ops_range_Range usize) 4
+ (core_ops_index_IndexMutSliceTIInst u32 (core_ops_range_Range usize)
+ (core_slice_index_SliceIndexRangeUsizeSliceTInst u32))
+ (mk_array u32 4 [ 0; 0; 0; 0 ]) { start = 1; end_ = 3 } s1 in
+ Return ()
+
+(** [array::deref_array_borrow]: forward function
+ Source: 'src/array.rs', lines 214:0-214:46 *)
+let deref_array_borrow (x : array u32 2) : result u32 =
+ array_index_usize u32 2 x 0
+
+(** [array::deref_array_mut_borrow]: forward function
+ Source: 'src/array.rs', lines 219:0-219:54 *)
+let deref_array_mut_borrow (x : array u32 2) : result u32 =
+ array_index_usize u32 2 x 0
+
+(** [array::deref_array_mut_borrow]: backward function 0
+ Source: 'src/array.rs', lines 219:0-219:54 *)
+let deref_array_mut_borrow_back (x : array u32 2) : result (array u32 2) =
+ let* _ = array_index_usize u32 2 x 0 in Return x
+
+(** [array::take_array_t]: forward function
+ Source: 'src/array.rs', lines 227:0-227:31 *)
+let take_array_t (a : array aB_t 2) : result unit =
+ Return ()
+
+(** [array::non_copyable_array]: forward function
+ Source: 'src/array.rs', lines 229:0-229:27 *)
+let non_copyable_array : result unit =
+ let* _ = take_array_t (mk_array aB_t 2 [ AB_A; AB_B ]) in Return ()
+
+(** [array::sum]: loop 0: forward function
+ Source: 'src/array.rs', lines 242:0-250:1 *)
+let rec sum_loop
+ (s : slice u32) (sum1 : u32) (i : usize) :
+ Tot (result u32) (decreases (sum_loop_decreases s sum1 i))
+ =
+ let i1 = slice_len u32 s in
+ if i < i1
+ then
+ let* i2 = slice_index_usize u32 s i in
+ let* sum3 = u32_add sum1 i2 in
+ let* i3 = usize_add i 1 in
+ sum_loop s sum3 i3
+ else Return sum1
+
+(** [array::sum]: forward function
+ Source: 'src/array.rs', lines 242:0-242:28 *)
+let sum (s : slice u32) : result u32 =
+ sum_loop s 0 0
+
+(** [array::sum2]: loop 0: forward function
+ Source: 'src/array.rs', lines 252:0-261:1 *)
+let rec sum2_loop
+ (s : slice u32) (s2 : slice u32) (sum1 : u32) (i : usize) :
+ Tot (result u32) (decreases (sum2_loop_decreases s s2 sum1 i))
+ =
+ let i1 = slice_len u32 s in
+ if i < i1
+ then
+ let* i2 = slice_index_usize u32 s i in
+ let* i3 = slice_index_usize u32 s2 i in
+ let* i4 = u32_add i2 i3 in
+ let* sum3 = u32_add sum1 i4 in
+ let* i5 = usize_add i 1 in
+ sum2_loop s s2 sum3 i5
+ else Return sum1
+
+(** [array::sum2]: forward function
+ Source: 'src/array.rs', lines 252:0-252:41 *)
+let sum2 (s : slice u32) (s2 : slice u32) : result u32 =
+ let i = slice_len u32 s in
+ let i1 = slice_len u32 s2 in
+ if not (i = i1) then Fail Failure else sum2_loop s s2 0 0
+
+(** [array::f0]: forward function
+ Source: 'src/array.rs', lines 263:0-263:11 *)
+let f0 : result unit =
+ let* s = array_to_slice u32 2 (mk_array u32 2 [ 1; 2 ]) in
+ let* s1 = slice_update_usize u32 s 0 1 in
+ let* _ = array_from_slice u32 2 (mk_array u32 2 [ 1; 2 ]) s1 in
+ Return ()
+
+(** [array::f1]: forward function
+ Source: 'src/array.rs', lines 268:0-268:11 *)
+let f1 : result unit =
+ let* _ = array_update_usize u32 2 (mk_array u32 2 [ 1; 2 ]) 0 1 in Return ()
+
+(** [array::f2]: forward function
+ Source: 'src/array.rs', lines 273:0-273:17 *)
+let f2 (i : u32) : result unit =
+ Return ()
+
+(** [array::f4]: forward function
+ Source: 'src/array.rs', lines 282:0-282:54 *)
+let f4 (x : array u32 32) (y : usize) (z : usize) : result (slice u32) =
+ core_array_Array_index u32 (core_ops_range_Range usize) 32
+ (core_ops_index_IndexSliceTIInst u32 (core_ops_range_Range usize)
+ (core_slice_index_SliceIndexRangeUsizeSliceTInst u32)) x
+ { start = y; end_ = z }
+
+(** [array::f3]: forward function
+ Source: 'src/array.rs', lines 275:0-275:18 *)
+let f3 : result u32 =
+ let* i = array_index_usize u32 2 (mk_array u32 2 [ 1; 2 ]) 0 in
+ let* _ = f2 i in
+ let b = array_repeat u32 32 0 in
+ let* s = array_to_slice u32 2 (mk_array u32 2 [ 1; 2 ]) in
+ let* s1 = f4 b 16 18 in
+ sum2 s s1
+
+(** [array::SZ]
+ Source: 'src/array.rs', lines 286:0-286:19 *)
+let sz_body : result usize = Return 32
+let sz_c : usize = eval_global sz_body
+
+(** [array::f5]: forward function
+ Source: 'src/array.rs', lines 289:0-289:31 *)
+let f5 (x : array u32 32) : result u32 =
+ array_index_usize u32 32 x 0
+
+(** [array::ite]: forward function
+ Source: 'src/array.rs', lines 294:0-294:12 *)
+let ite : result unit =
+ let* s = array_to_slice u32 2 (mk_array u32 2 [ 0; 0 ]) in
+ let* s1 = array_to_slice u32 2 (mk_array u32 2 [ 0; 0 ]) in
+ let* s2 = index_mut_slice_u32_0_back s1 in
+ let* _ = array_from_slice u32 2 (mk_array u32 2 [ 0; 0 ]) s2 in
+ let* s3 = index_mut_slice_u32_0_back s in
+ let* _ = array_from_slice u32 2 (mk_array u32 2 [ 0; 0 ]) s3 in
+ Return ()
+