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Diffstat (limited to 'tests/coq/array/Array.v')
| -rw-r--r-- | tests/coq/array/Array.v | 544 |
1 files changed, 544 insertions, 0 deletions
diff --git a/tests/coq/array/Array.v b/tests/coq/array/Array.v new file mode 100644 index 00000000..1f2cc0e0 --- /dev/null +++ b/tests/coq/array/Array.v @@ -0,0 +1,544 @@ +(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *) +(** [array] *) +Require Import Primitives. +Import Primitives. +Require Import Coq.ZArith.ZArith. +Require Import List. +Import ListNotations. +Local Open Scope Primitives_scope. +Module Array. + +(** [array::AB] + Source: 'src/array.rs', lines 3:0-3:11 *) +Inductive AB_t := | AB_A : AB_t | AB_B : AB_t. + +(** [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 *) +Definition incr (x : u32) : result u32 := + u32_add x 1%u32. + +(** [array::array_to_shared_slice_]: forward function + Source: 'src/array.rs', lines 16:0-16:53 *) +Definition array_to_shared_slice_ + (T : Type) (s : array T 32%usize) : result (slice T) := + array_to_slice T 32%usize s +. + +(** [array::array_to_mut_slice_]: forward function + Source: 'src/array.rs', lines 21:0-21:58 *) +Definition array_to_mut_slice_ + (T : Type) (s : array T 32%usize) : result (slice T) := + array_to_slice T 32%usize s +. + +(** [array::array_to_mut_slice_]: backward function 0 + Source: 'src/array.rs', lines 21:0-21:58 *) +Definition array_to_mut_slice__back + (T : Type) (s : array T 32%usize) (ret : slice T) : + result (array T 32%usize) + := + array_from_slice T 32%usize s ret +. + +(** [array::array_len]: forward function + Source: 'src/array.rs', lines 25:0-25:40 *) +Definition array_len (T : Type) (s : array T 32%usize) : result usize := + s0 <- array_to_slice T 32%usize s; let i := slice_len T s0 in Return i +. + +(** [array::shared_array_len]: forward function + Source: 'src/array.rs', lines 29:0-29:48 *) +Definition shared_array_len (T : Type) (s : array T 32%usize) : result usize := + s0 <- array_to_slice T 32%usize s; let i := slice_len T s0 in Return i +. + +(** [array::shared_slice_len]: forward function + Source: 'src/array.rs', lines 33:0-33:44 *) +Definition shared_slice_len (T : Type) (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 *) +Definition index_array_shared + (T : Type) (s : array T 32%usize) (i : usize) : result T := + array_index_usize T 32%usize s i +. + +(** [array::index_array_u32]: forward function + Source: 'src/array.rs', lines 44:0-44:53 *) +Definition index_array_u32 (s : array u32 32%usize) (i : usize) : result u32 := + array_index_usize u32 32%usize s i +. + +(** [array::index_array_copy]: forward function + Source: 'src/array.rs', lines 48:0-48:45 *) +Definition index_array_copy (x : array u32 32%usize) : result u32 := + array_index_usize u32 32%usize x 0%usize +. + +(** [array::index_mut_array]: forward function + Source: 'src/array.rs', lines 52:0-52:62 *) +Definition index_mut_array + (T : Type) (s : array T 32%usize) (i : usize) : result T := + array_index_usize T 32%usize s i +. + +(** [array::index_mut_array]: backward function 0 + Source: 'src/array.rs', lines 52:0-52:62 *) +Definition index_mut_array_back + (T : Type) (s : array T 32%usize) (i : usize) (ret : T) : + result (array T 32%usize) + := + array_update_usize T 32%usize s i ret +. + +(** [array::index_slice]: forward function + Source: 'src/array.rs', lines 56:0-56:46 *) +Definition index_slice (T : Type) (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 *) +Definition index_mut_slice (T : Type) (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 *) +Definition index_mut_slice_back + (T : Type) (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 *) +Definition 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 + {| core_ops_range_Range_start := y; core_ops_range_Range_end_ := z |} +. + +(** [array::slice_subslice_mut_]: forward function + Source: 'src/array.rs', lines 68:0-68:75 *) +Definition 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 + {| core_ops_range_Range_start := y; core_ops_range_Range_end_ := z |} +. + +(** [array::slice_subslice_mut_]: backward function 0 + Source: 'src/array.rs', lines 68:0-68:75 *) +Definition 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 + {| core_ops_range_Range_start := y; core_ops_range_Range_end_ := z |} ret +. + +(** [array::array_to_slice_shared_]: forward function + Source: 'src/array.rs', lines 72:0-72:54 *) +Definition array_to_slice_shared_ + (x : array u32 32%usize) : result (slice u32) := + array_to_slice u32 32%usize x +. + +(** [array::array_to_slice_mut_]: forward function + Source: 'src/array.rs', lines 76:0-76:59 *) +Definition array_to_slice_mut_ (x : array u32 32%usize) : result (slice u32) := + array_to_slice u32 32%usize x +. + +(** [array::array_to_slice_mut_]: backward function 0 + Source: 'src/array.rs', lines 76:0-76:59 *) +Definition array_to_slice_mut__back + (x : array u32 32%usize) (ret : slice u32) : result (array u32 32%usize) := + array_from_slice u32 32%usize x ret +. + +(** [array::array_subslice_shared_]: forward function + Source: 'src/array.rs', lines 80:0-80:74 *) +Definition array_subslice_shared_ + (x : array u32 32%usize) (y : usize) (z : usize) : result (slice u32) := + core_array_Array_index u32 (core_ops_range_Range usize) 32%usize + (core_ops_index_IndexSliceTIInst u32 (core_ops_range_Range usize) + (core_slice_index_SliceIndexRangeUsizeSliceTInst u32)) x + {| core_ops_range_Range_start := y; core_ops_range_Range_end_ := z |} +. + +(** [array::array_subslice_mut_]: forward function + Source: 'src/array.rs', lines 84:0-84:79 *) +Definition array_subslice_mut_ + (x : array u32 32%usize) (y : usize) (z : usize) : result (slice u32) := + core_array_Array_index_mut u32 (core_ops_range_Range usize) 32%usize + (core_ops_index_IndexMutSliceTIInst u32 (core_ops_range_Range usize) + (core_slice_index_SliceIndexRangeUsizeSliceTInst u32)) x + {| core_ops_range_Range_start := y; core_ops_range_Range_end_ := z |} +. + +(** [array::array_subslice_mut_]: backward function 0 + Source: 'src/array.rs', lines 84:0-84:79 *) +Definition array_subslice_mut__back + (x : array u32 32%usize) (y : usize) (z : usize) (ret : slice u32) : + result (array u32 32%usize) + := + core_array_Array_index_mut_back u32 (core_ops_range_Range usize) 32%usize + (core_ops_index_IndexMutSliceTIInst u32 (core_ops_range_Range usize) + (core_slice_index_SliceIndexRangeUsizeSliceTInst u32)) x + {| core_ops_range_Range_start := y; core_ops_range_Range_end_ := z |} ret +. + +(** [array::index_slice_0]: forward function + Source: 'src/array.rs', lines 88:0-88:38 *) +Definition index_slice_0 (T : Type) (s : slice T) : result T := + slice_index_usize T s 0%usize +. + +(** [array::index_array_0]: forward function + Source: 'src/array.rs', lines 92:0-92:42 *) +Definition index_array_0 (T : Type) (s : array T 32%usize) : result T := + array_index_usize T 32%usize s 0%usize +. + +(** [array::index_index_array]: forward function + Source: 'src/array.rs', lines 103:0-103:71 *) +Definition index_index_array + (s : array (array u32 32%usize) 32%usize) (i : usize) (j : usize) : + result u32 + := + a <- array_index_usize (array u32 32%usize) 32%usize s i; + array_index_usize u32 32%usize a j +. + +(** [array::update_update_array]: forward function + Source: 'src/array.rs', lines 114:0-114:70 *) +Definition update_update_array + (s : array (array u32 32%usize) 32%usize) (i : usize) (j : usize) : + result unit + := + a <- array_index_usize (array u32 32%usize) 32%usize s i; + a0 <- array_update_usize u32 32%usize a j 0%u32; + _ <- array_update_usize (array u32 32%usize) 32%usize s i a0; + Return tt +. + +(** [array::array_local_deep_copy]: forward function + Source: 'src/array.rs', lines 118:0-118:43 *) +Definition array_local_deep_copy (x : array u32 32%usize) : result unit := + Return tt +. + +(** [array::take_array]: forward function + Source: 'src/array.rs', lines 122:0-122:30 *) +Definition take_array (a : array u32 2%usize) : result unit := + Return tt. + +(** [array::take_array_borrow]: forward function + Source: 'src/array.rs', lines 123:0-123:38 *) +Definition take_array_borrow (a : array u32 2%usize) : result unit := + Return tt +. + +(** [array::take_slice]: forward function + Source: 'src/array.rs', lines 124:0-124:28 *) +Definition take_slice (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 ()) + Source: 'src/array.rs', lines 125:0-125:36 *) +Definition 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 *) +Definition const_array : result (array u32 2%usize) := + Return (mk_array u32 2%usize [ 0%u32; 0%u32 ]) +. + +(** [array::const_slice]: forward function + Source: 'src/array.rs', lines 131:0-131:20 *) +Definition const_slice : result unit := + _ <- array_to_slice u32 2%usize (mk_array u32 2%usize [ 0%u32; 0%u32 ]); + Return tt +. + +(** [array::take_all]: forward function + Source: 'src/array.rs', lines 141:0-141:17 *) +Definition take_all : result unit := + _ <- take_array (mk_array u32 2%usize [ 0%u32; 0%u32 ]); + _ <- take_array_borrow (mk_array u32 2%usize [ 0%u32; 0%u32 ]); + s <- array_to_slice u32 2%usize (mk_array u32 2%usize [ 0%u32; 0%u32 ]); + _ <- take_slice s; + s0 <- array_to_slice u32 2%usize (mk_array u32 2%usize [ 0%u32; 0%u32 ]); + s1 <- take_mut_slice s0; + _ <- array_from_slice u32 2%usize (mk_array u32 2%usize [ 0%u32; 0%u32 ]) s1; + Return tt +. + +(** [array::index_array]: forward function + Source: 'src/array.rs', lines 155:0-155:38 *) +Definition index_array (x : array u32 2%usize) : result u32 := + array_index_usize u32 2%usize x 0%usize +. + +(** [array::index_array_borrow]: forward function + Source: 'src/array.rs', lines 158:0-158:46 *) +Definition index_array_borrow (x : array u32 2%usize) : result u32 := + array_index_usize u32 2%usize x 0%usize +. + +(** [array::index_slice_u32_0]: forward function + Source: 'src/array.rs', lines 162:0-162:42 *) +Definition index_slice_u32_0 (x : slice u32) : result u32 := + slice_index_usize u32 x 0%usize +. + +(** [array::index_mut_slice_u32_0]: forward function + Source: 'src/array.rs', lines 166:0-166:50 *) +Definition index_mut_slice_u32_0 (x : slice u32) : result u32 := + slice_index_usize u32 x 0%usize +. + +(** [array::index_mut_slice_u32_0]: backward function 0 + Source: 'src/array.rs', lines 166:0-166:50 *) +Definition index_mut_slice_u32_0_back (x : slice u32) : result (slice u32) := + _ <- slice_index_usize u32 x 0%usize; Return x +. + +(** [array::index_all]: forward function + Source: 'src/array.rs', lines 170:0-170:25 *) +Definition index_all : result u32 := + i <- index_array (mk_array u32 2%usize [ 0%u32; 0%u32 ]); + i0 <- index_array (mk_array u32 2%usize [ 0%u32; 0%u32 ]); + i1 <- u32_add i i0; + i2 <- index_array_borrow (mk_array u32 2%usize [ 0%u32; 0%u32 ]); + i3 <- u32_add i1 i2; + s <- array_to_slice u32 2%usize (mk_array u32 2%usize [ 0%u32; 0%u32 ]); + i4 <- index_slice_u32_0 s; + i5 <- u32_add i3 i4; + s0 <- array_to_slice u32 2%usize (mk_array u32 2%usize [ 0%u32; 0%u32 ]); + i6 <- index_mut_slice_u32_0 s0; + i7 <- u32_add i5 i6; + s1 <- index_mut_slice_u32_0_back s0; + _ <- array_from_slice u32 2%usize (mk_array u32 2%usize [ 0%u32; 0%u32 ]) s1; + Return i7 +. + +(** [array::update_array]: forward function + Source: 'src/array.rs', lines 184:0-184:36 *) +Definition update_array (x : array u32 2%usize) : result unit := + _ <- array_update_usize 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 ()) + Source: 'src/array.rs', lines 187:0-187:48 *) +Definition update_array_mut_borrow + (x : array u32 2%usize) : result (array u32 2%usize) := + array_update_usize 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 ()) + Source: 'src/array.rs', lines 190:0-190:38 *) +Definition update_mut_slice (x : slice u32) : result (slice u32) := + slice_update_usize u32 x 0%usize 1%u32 +. + +(** [array::update_all]: forward function + Source: 'src/array.rs', lines 194:0-194:19 *) +Definition update_all : result unit := + _ <- update_array (mk_array u32 2%usize [ 0%u32; 0%u32 ]); + x <- update_array_mut_borrow (mk_array u32 2%usize [ 0%u32; 0%u32 ]); + s <- array_to_slice u32 2%usize x; + s0 <- update_mut_slice s; + _ <- array_from_slice u32 2%usize x s0; + Return tt +. + +(** [array::range_all]: forward function + Source: 'src/array.rs', lines 205:0-205:18 *) +Definition range_all : result unit := + s <- + core_array_Array_index_mut u32 (core_ops_range_Range usize) 4%usize + (core_ops_index_IndexMutSliceTIInst u32 (core_ops_range_Range usize) + (core_slice_index_SliceIndexRangeUsizeSliceTInst u32)) + (mk_array u32 4%usize [ 0%u32; 0%u32; 0%u32; 0%u32 ]) + {| + core_ops_range_Range_start := 1%usize; + core_ops_range_Range_end_ := 3%usize + |}; + s0 <- update_mut_slice s; + _ <- + core_array_Array_index_mut_back u32 (core_ops_range_Range usize) 4%usize + (core_ops_index_IndexMutSliceTIInst u32 (core_ops_range_Range usize) + (core_slice_index_SliceIndexRangeUsizeSliceTInst u32)) + (mk_array u32 4%usize [ 0%u32; 0%u32; 0%u32; 0%u32 ]) + {| + core_ops_range_Range_start := 1%usize; + core_ops_range_Range_end_ := 3%usize + |} s0; + Return tt +. + +(** [array::deref_array_borrow]: forward function + Source: 'src/array.rs', lines 214:0-214:46 *) +Definition deref_array_borrow (x : array u32 2%usize) : result u32 := + array_index_usize u32 2%usize x 0%usize +. + +(** [array::deref_array_mut_borrow]: forward function + Source: 'src/array.rs', lines 219:0-219:54 *) +Definition deref_array_mut_borrow (x : array u32 2%usize) : result u32 := + array_index_usize u32 2%usize x 0%usize +. + +(** [array::deref_array_mut_borrow]: backward function 0 + Source: 'src/array.rs', lines 219:0-219:54 *) +Definition deref_array_mut_borrow_back + (x : array u32 2%usize) : result (array u32 2%usize) := + _ <- array_index_usize u32 2%usize x 0%usize; Return x +. + +(** [array::take_array_t]: forward function + Source: 'src/array.rs', lines 227:0-227:31 *) +Definition take_array_t (a : array AB_t 2%usize) : result unit := + Return tt. + +(** [array::non_copyable_array]: forward function + Source: 'src/array.rs', lines 229:0-229:27 *) +Definition non_copyable_array : result unit := + _ <- take_array_t (mk_array AB_t 2%usize [ AB_A; AB_B ]); Return tt +. + +(** [array::sum]: loop 0: forward function + Source: 'src/array.rs', lines 242:0-250:1 *) +Fixpoint sum_loop + (n : nat) (s : slice u32) (sum0 : 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_usize u32 s i; + sum1 <- u32_add sum0 i1; + i2 <- usize_add i 1%usize; + sum_loop n0 s sum1 i2) + else Return sum0 + end +. + +(** [array::sum]: forward function + Source: 'src/array.rs', lines 242:0-242:28 *) +Definition sum (n : nat) (s : slice u32) : result u32 := + sum_loop n s 0%u32 0%usize +. + +(** [array::sum2]: loop 0: forward function + Source: 'src/array.rs', lines 252:0-261:1 *) +Fixpoint sum2_loop + (n : nat) (s : slice u32) (s2 : slice u32) (sum0 : 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_usize u32 s i; + i2 <- slice_index_usize u32 s2 i; + i3 <- u32_add i1 i2; + sum1 <- u32_add sum0 i3; + i4 <- usize_add i 1%usize; + sum2_loop n0 s s2 sum1 i4) + else Return sum0 + end +. + +(** [array::sum2]: forward function + Source: 'src/array.rs', lines 252:0-252:41 *) +Definition sum2 (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 n s s2 0%u32 0%usize +. + +(** [array::f0]: forward function + Source: 'src/array.rs', lines 263:0-263:11 *) +Definition f0 : result unit := + s <- array_to_slice u32 2%usize (mk_array u32 2%usize [ 1%u32; 2%u32 ]); + s0 <- slice_update_usize u32 s 0%usize 1%u32; + _ <- array_from_slice u32 2%usize (mk_array u32 2%usize [ 1%u32; 2%u32 ]) s0; + Return tt +. + +(** [array::f1]: forward function + Source: 'src/array.rs', lines 268:0-268:11 *) +Definition f1 : result unit := + _ <- + array_update_usize u32 2%usize (mk_array u32 2%usize [ 1%u32; 2%u32 ]) + 0%usize 1%u32; + Return tt +. + +(** [array::f2]: forward function + Source: 'src/array.rs', lines 273:0-273:17 *) +Definition f2 (i : u32) : result unit := + Return tt. + +(** [array::f4]: forward function + Source: 'src/array.rs', lines 282:0-282:54 *) +Definition f4 + (x : array u32 32%usize) (y : usize) (z : usize) : result (slice u32) := + core_array_Array_index u32 (core_ops_range_Range usize) 32%usize + (core_ops_index_IndexSliceTIInst u32 (core_ops_range_Range usize) + (core_slice_index_SliceIndexRangeUsizeSliceTInst u32)) x + {| core_ops_range_Range_start := y; core_ops_range_Range_end_ := z |} +. + +(** [array::f3]: forward function + Source: 'src/array.rs', lines 275:0-275:18 *) +Definition f3 (n : nat) : result u32 := + i <- + array_index_usize u32 2%usize (mk_array u32 2%usize [ 1%u32; 2%u32 ]) + 0%usize; + _ <- f2 i; + let b := array_repeat u32 32%usize 0%u32 in + s <- array_to_slice u32 2%usize (mk_array u32 2%usize [ 1%u32; 2%u32 ]); + s0 <- f4 b 16%usize 18%usize; + sum2 n s s0 +. + +(** [array::SZ] + Source: 'src/array.rs', lines 286:0-286:19 *) +Definition sz_body : result usize := Return 32%usize. +Definition sz_c : usize := sz_body%global. + +(** [array::f5]: forward function + Source: 'src/array.rs', lines 289:0-289:31 *) +Definition f5 (x : array u32 32%usize) : result u32 := + array_index_usize u32 32%usize x 0%usize +. + +(** [array::ite]: forward function + Source: 'src/array.rs', lines 294:0-294:12 *) +Definition ite : result unit := + s <- array_to_slice u32 2%usize (mk_array u32 2%usize [ 0%u32; 0%u32 ]); + s0 <- array_to_slice u32 2%usize (mk_array u32 2%usize [ 0%u32; 0%u32 ]); + s1 <- index_mut_slice_u32_0_back s0; + _ <- array_from_slice u32 2%usize (mk_array u32 2%usize [ 0%u32; 0%u32 ]) s1; + s2 <- index_mut_slice_u32_0_back s; + _ <- array_from_slice u32 2%usize (mk_array u32 2%usize [ 0%u32; 0%u32 ]) s2; + Return tt +. + +End Array. |