diff options
Diffstat (limited to '')
| -rw-r--r-- | tests/coq/array/Array.v | 421 | ||||
| -rw-r--r-- | tests/coq/array/Primitives.v | 137 |
2 files changed, 264 insertions, 294 deletions
diff --git a/tests/coq/array/Array.v b/tests/coq/array/Array.v index 1f2cc0e0..faa0e92c 100644 --- a/tests/coq/array/Array.v +++ b/tests/coq/array/Array.v @@ -12,108 +12,98 @@ Module Array. 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 ()) +(** [array::incr]: 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 +(** [array::array_to_shared_slice_]: 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 +(** [array::array_to_mut_slice_]: 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) + (T : Type) (s : array T 32%usize) : + result ((slice T) * (slice T -> result (array T 32%usize))) := - array_from_slice T 32%usize s ret + p <- array_to_slice_mut T 32%usize s; + let (s1, to_slice_mut_back) := p in + let back := fun (ret : slice T) => to_slice_mut_back ret in + Return (s1, back) . -(** [array::array_len]: forward function +(** [array::array_len]: 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 + s1 <- array_to_slice T 32%usize s; let i := slice_len T s1 in Return i . -(** [array::shared_array_len]: forward function +(** [array::shared_array_len]: 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 + s1 <- array_to_slice T 32%usize s; let i := slice_len T s1 in Return i . -(** [array::shared_slice_len]: forward function +(** [array::shared_slice_len]: 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 +(** [array::index_array_shared]: 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 +(** [array::index_array_u32]: 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 +(** [array::index_array_copy]: 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 +(** [array::index_mut_array]: 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) + (T : Type) (s : array T 32%usize) (i : usize) : + result (T * (T -> result (array T 32%usize))) := - array_update_usize T 32%usize s i ret + p <- array_index_mut_usize T 32%usize s i; + let (t, index_mut_back) := p in + let back := fun (ret : T) => index_mut_back ret in + Return (t, back) . -(** [array::index_slice]: forward function +(** [array::index_slice]: 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 +(** [array::index_mut_slice]: 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 +Definition index_mut_slice + (T : Type) (s : slice T) (i : usize) : + result (T * (T -> result (slice T))) + := + p <- slice_index_mut_usize T s i; + let (t, index_mut_back) := p in + let back := fun (ret : T) => index_mut_back ret in + Return (t, back) . -(** [array::slice_subslice_shared_]: forward function +(** [array::slice_subslice_shared_]: Source: 'src/array.rs', lines 64:0-64:70 *) Definition slice_subslice_shared_ (x : slice u32) (y : usize) (z : usize) : result (slice u32) := @@ -122,47 +112,41 @@ Definition slice_subslice_shared_ {| core_ops_range_Range_start := y; core_ops_range_Range_end_ := z |} . -(** [array::slice_subslice_mut_]: forward function +(** [array::slice_subslice_mut_]: 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) + (x : slice u32) (y : usize) (z : usize) : + result ((slice u32) * (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 + p <- + 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 |}; + let (s, index_mut_back) := p in + let back := fun (ret : slice u32) => index_mut_back ret in + Return (s, back) . -(** [array::array_to_slice_shared_]: forward function +(** [array::array_to_slice_shared_]: 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 +(** [array::array_to_slice_mut_]: 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 +Definition array_to_slice_mut_ + (x : array u32 32%usize) : + result ((slice u32) * (slice u32 -> result (array u32 32%usize))) + := + p <- array_to_slice_mut u32 32%usize x; + let (s, to_slice_mut_back) := p in + let back := fun (ret : slice u32) => to_slice_mut_back ret in + Return (s, back) . -(** [array::array_subslice_shared_]: forward function +(** [array::array_subslice_shared_]: 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) := @@ -172,41 +156,35 @@ Definition array_subslice_shared_ {| core_ops_range_Range_start := y; core_ops_range_Range_end_ := z |} . -(** [array::array_subslice_mut_]: forward function +(** [array::array_subslice_mut_]: 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) + (x : array u32 32%usize) (y : usize) (z : usize) : + result ((slice u32) * (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 + p <- + 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 |}; + let (s, index_mut_back) := p in + let back := fun (ret : slice u32) => index_mut_back ret in + Return (s, back) . -(** [array::index_slice_0]: forward function +(** [array::index_slice_0]: 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 +(** [array::index_array_0]: 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 +(** [array::index_index_array]: 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) : @@ -216,157 +194,164 @@ Definition index_index_array array_index_usize u32 32%usize a j . -(** [array::update_update_array]: forward function +(** [array::update_update_array]: 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; + p <- array_index_mut_usize (array u32 32%usize) 32%usize s i; + let (a, index_mut_back) := p in + p1 <- array_index_mut_usize u32 32%usize a j; + let (_, index_mut_back1) := p1 in + a1 <- index_mut_back1 0%u32; + _ <- index_mut_back a1; Return tt . -(** [array::array_local_deep_copy]: forward function +(** [array::array_local_deep_copy]: 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 +(** [array::take_array]: 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 +(** [array::take_array_borrow]: 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 +(** [array::take_slice]: 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 ()) +(** [array::take_mut_slice]: 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 +(** [array::const_array]: 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 +(** [array::const_slice]: 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 +(** [array::take_all]: 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 (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; + p <- array_to_slice_mut u32 2%usize (mk_array u32 2%usize [ 0%u32; 0%u32 ]); + let (s1, to_slice_mut_back) := p in + s2 <- take_mut_slice s1; + _ <- to_slice_mut_back s2; Return tt . -(** [array::index_array]: forward function +(** [array::index_array]: 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 +(** [array::index_array_borrow]: 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 +(** [array::index_slice_u32_0]: 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 +(** [array::index_mut_slice_u32_0]: 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 +Definition index_mut_slice_u32_0 + (x : slice u32) : result (u32 * (slice u32)) := + i <- slice_index_usize u32 x 0%usize; Return (i, x) . -(** [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 +(** [array::index_all]: 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; + i1 <- index_array (mk_array u32 2%usize [ 0%u32; 0%u32 ]); + i2 <- u32_add i i1; + i3 <- index_array_borrow (mk_array u32 2%usize [ 0%u32; 0%u32 ]); + i4 <- u32_add i2 i3; 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 + i5 <- index_slice_u32_0 s; + i6 <- u32_add i4 i5; + p <- array_to_slice_mut u32 2%usize (mk_array u32 2%usize [ 0%u32; 0%u32 ]); + let (s1, to_slice_mut_back) := p in + p1 <- index_mut_slice_u32_0 s1; + let (i7, s2) := p1 in + i8 <- u32_add i6 i7; + _ <- to_slice_mut_back s2; + Return i8 +. + +(** [array::update_array]: 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 + p <- array_index_mut_usize u32 2%usize x 0%usize; + let (_, index_mut_back) := p in + _ <- index_mut_back 1%u32; + Return tt . -(** [array::update_array_mut_borrow]: merged forward/backward function - (there is a single backward function, and the forward function returns ()) +(** [array::update_array_mut_borrow]: 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 + p <- array_index_mut_usize u32 2%usize x 0%usize; + let (_, index_mut_back) := p in + index_mut_back 1%u32 . -(** [array::update_mut_slice]: merged forward/backward function - (there is a single backward function, and the forward function returns ()) +(** [array::update_mut_slice]: 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 + p <- slice_index_mut_usize u32 x 0%usize; + let (_, index_mut_back) := p in + index_mut_back 1%u32 . -(** [array::update_all]: forward function +(** [array::update_all]: 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; + _ <- update_array (mk_array u32 2%usize [ 0%u32; 0%u32 ]); + a <- update_array_mut_borrow (mk_array u32 2%usize [ 0%u32; 0%u32 ]); + p <- array_to_slice_mut u32 2%usize a; + let (s, to_slice_mut_back) := p in + s1 <- update_mut_slice s; + _ <- to_slice_mut_back s1; Return tt . -(** [array::range_all]: forward function +(** [array::range_all]: Source: 'src/array.rs', lines 205:0-205:18 *) Definition range_all : result unit := - s <- + p <- 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)) @@ -375,127 +360,119 @@ Definition range_all : result unit := 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; + let (s, index_mut_back) := p in + s1 <- update_mut_slice s; + _ <- index_mut_back s1; Return tt . -(** [array::deref_array_borrow]: forward function +(** [array::deref_array_borrow]: 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 +(** [array::deref_array_mut_borrow]: 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 +Definition deref_array_mut_borrow + (x : array u32 2%usize) : result (u32 * (array u32 2%usize)) := + i <- array_index_usize u32 2%usize x 0%usize; Return (i, x) . -(** [array::take_array_t]: forward function +(** [array::take_array_t]: 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 +(** [array::non_copyable_array]: 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 +(** [array::sum]: loop 0: Source: 'src/array.rs', lines 242:0-250:1 *) Fixpoint sum_loop - (n : nat) (s : slice u32) (sum0 : u32) (i : usize) : result u32 := + (n : nat) (s : slice u32) (sum1 : u32) (i : usize) : result u32 := match n with | O => Fail_ OutOfFuel - | S n0 => - let i0 := slice_len u32 s in - if i s< i0 + | S n1 => + let i1 := slice_len u32 s in + if i s< i1 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 + i2 <- slice_index_usize u32 s i; + sum3 <- u32_add sum1 i2; + i3 <- usize_add i 1%usize; + sum_loop n1 s sum3 i3) + else Return sum1 end . -(** [array::sum]: forward function +(** [array::sum]: 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 +(** [array::sum2]: loop 0: Source: 'src/array.rs', lines 252:0-261:1 *) Fixpoint sum2_loop - (n : nat) (s : slice u32) (s2 : slice u32) (sum0 : u32) (i : usize) : + (n : nat) (s : slice u32) (s2 : slice u32) (sum1 : u32) (i : usize) : result u32 := match n with | O => Fail_ OutOfFuel - | S n0 => - let i0 := slice_len u32 s in - if i s< i0 + | S n1 => + let i1 := slice_len u32 s in + if i s< i1 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 + i2 <- slice_index_usize u32 s i; + i3 <- slice_index_usize u32 s2 i; + i4 <- u32_add i2 i3; + sum3 <- u32_add sum1 i4; + i5 <- usize_add i 1%usize; + sum2_loop n1 s s2 sum3 i5) + else Return sum1 end . -(** [array::sum2]: forward function +(** [array::sum2]: 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 + let i1 := slice_len u32 s2 in + if negb (i s= i1) then Fail_ Failure else sum2_loop n s s2 0%u32 0%usize . -(** [array::f0]: forward function +(** [array::f0]: 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; + p <- array_to_slice_mut u32 2%usize (mk_array u32 2%usize [ 1%u32; 2%u32 ]); + let (s, to_slice_mut_back) := p in + p1 <- slice_index_mut_usize u32 s 0%usize; + let (_, index_mut_back) := p1 in + s1 <- index_mut_back 1%u32; + _ <- to_slice_mut_back s1; Return tt . -(** [array::f1]: forward function +(** [array::f1]: 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; + p <- + array_index_mut_usize u32 2%usize (mk_array u32 2%usize [ 1%u32; 2%u32 ]) + 0%usize; + let (_, index_mut_back) := p in + _ <- index_mut_back 1%u32; Return tt . -(** [array::f2]: forward function +(** [array::f2]: Source: 'src/array.rs', lines 273:0-273:17 *) Definition f2 (i : u32) : result unit := Return tt. -(** [array::f4]: forward function +(** [array::f4]: Source: 'src/array.rs', lines 282:0-282:54 *) Definition f4 (x : array u32 32%usize) (y : usize) (z : usize) : result (slice u32) := @@ -505,7 +482,7 @@ Definition f4 {| core_ops_range_Range_start := y; core_ops_range_Range_end_ := z |} . -(** [array::f3]: forward function +(** [array::f3]: Source: 'src/array.rs', lines 275:0-275:18 *) Definition f3 (n : nat) : result u32 := i <- @@ -514,8 +491,8 @@ Definition f3 (n : nat) : result u32 := _ <- 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 + s1 <- f4 b 16%usize 18%usize; + sum2 n s s1 . (** [array::SZ] @@ -523,21 +500,25 @@ Definition f3 (n : nat) : result u32 := Definition sz_body : result usize := Return 32%usize. Definition sz_c : usize := sz_body%global. -(** [array::f5]: forward function +(** [array::f5]: 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 +(** [array::ite]: 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; + p <- array_to_slice_mut u32 2%usize (mk_array u32 2%usize [ 0%u32; 0%u32 ]); + let (s, to_slice_mut_back) := p in + p1 <- index_mut_slice_u32_0 s; + let (_, s1) := p1 in + p2 <- array_to_slice_mut u32 2%usize (mk_array u32 2%usize [ 0%u32; 0%u32 ]); + let (s2, to_slice_mut_back1) := p2 in + p3 <- index_mut_slice_u32_0 s2; + let (_, s3) := p3 in + _ <- to_slice_mut_back1 s3; + _ <- to_slice_mut_back s1; Return tt . diff --git a/tests/coq/array/Primitives.v b/tests/coq/array/Primitives.v index 84280b96..990e27e4 100644 --- a/tests/coq/array/Primitives.v +++ b/tests/coq/array/Primitives.v @@ -67,8 +67,7 @@ Definition string := Coq.Strings.String.string. Definition char := Coq.Strings.Ascii.ascii. Definition char_of_byte := Coq.Strings.Ascii.ascii_of_byte. -Definition core_mem_replace (a : Type) (x : a) (y : a) : a := x . -Definition core_mem_replace_back (a : Type) (x : a) (y : a) : a := y . +Definition core_mem_replace (a : Type) (x : a) (y : a) : a * a := (x, x) . Record mut_raw_ptr (T : Type) := { mut_raw_ptr_v : T }. Record const_raw_ptr (T : Type) := { const_raw_ptr_v : T }. @@ -504,13 +503,15 @@ Arguments core_ops_index_Index_index {_ _}. (* Trait declaration: [core::ops::index::IndexMut] *) Record core_ops_index_IndexMut (Self Idx : Type) := mk_core_ops_index_IndexMut { core_ops_index_IndexMut_indexInst : core_ops_index_Index Self Idx; - core_ops_index_IndexMut_index_mut : Self -> Idx -> result core_ops_index_IndexMut_indexInst.(core_ops_index_Index_Output); - core_ops_index_IndexMut_index_mut_back : Self -> Idx -> core_ops_index_IndexMut_indexInst.(core_ops_index_Index_Output) -> result Self; + core_ops_index_IndexMut_index_mut : + Self -> + Idx -> + result (core_ops_index_IndexMut_indexInst.(core_ops_index_Index_Output) * + (core_ops_index_IndexMut_indexInst.(core_ops_index_Index_Output) -> result Self)); }. Arguments mk_core_ops_index_IndexMut {_ _}. Arguments core_ops_index_IndexMut_indexInst {_ _}. Arguments core_ops_index_IndexMut_index_mut {_ _}. -Arguments core_ops_index_IndexMut_index_mut_back {_ _}. (* Trait declaration [core::ops::deref::Deref] *) Record core_ops_deref_Deref (Self : Type) := mk_core_ops_deref_Deref { @@ -524,13 +525,14 @@ Arguments core_ops_deref_Deref_deref {_}. (* Trait declaration [core::ops::deref::DerefMut] *) Record core_ops_deref_DerefMut (Self : Type) := mk_core_ops_deref_DerefMut { core_ops_deref_DerefMut_derefInst : core_ops_deref_Deref Self; - core_ops_deref_DerefMut_deref_mut : Self -> result core_ops_deref_DerefMut_derefInst.(core_ops_deref_Deref_target); - core_ops_deref_DerefMut_deref_mut_back : Self -> core_ops_deref_DerefMut_derefInst.(core_ops_deref_Deref_target) -> result Self; + core_ops_deref_DerefMut_deref_mut : + Self -> + result (core_ops_deref_DerefMut_derefInst.(core_ops_deref_Deref_target) * + (core_ops_deref_DerefMut_derefInst.(core_ops_deref_Deref_target) -> result Self)); }. Arguments mk_core_ops_deref_DerefMut {_}. Arguments core_ops_deref_DerefMut_derefInst {_}. Arguments core_ops_deref_DerefMut_deref_mut {_}. -Arguments core_ops_deref_DerefMut_deref_mut_back {_}. Record core_ops_range_Range (T : Type) := mk_core_ops_range_Range { core_ops_range_Range_start : T; @@ -543,8 +545,8 @@ Arguments core_ops_range_Range_end_ {_}. (*** [alloc] *) Definition alloc_boxed_Box_deref (T : Type) (x : T) : result T := Return x. -Definition alloc_boxed_Box_deref_mut (T : Type) (x : T) : result T := Return x. -Definition alloc_boxed_Box_deref_mut_back (T : Type) (_ : T) (x : T) : result T := Return x. +Definition alloc_boxed_Box_deref_mut (T : Type) (x : T) : result (T * (T -> result T)) := + Return (x, fun x => Return x). (* Trait instance *) Definition alloc_boxed_Box_coreopsDerefInst (Self : Type) : core_ops_deref_Deref Self := {| @@ -556,7 +558,6 @@ Definition alloc_boxed_Box_coreopsDerefInst (Self : Type) : core_ops_deref_Deref Definition alloc_boxed_Box_coreopsDerefMutInst (Self : Type) : core_ops_deref_DerefMut Self := {| core_ops_deref_DerefMut_derefInst := alloc_boxed_Box_coreopsDerefInst Self; core_ops_deref_DerefMut_deref_mut := alloc_boxed_Box_deref_mut Self; - core_ops_deref_DerefMut_deref_mut_back := alloc_boxed_Box_deref_mut_back Self; |}. @@ -584,6 +585,13 @@ Axiom array_repeat : forall (T : Type) (n : usize) (x : T), array T n. Axiom array_index_usize : forall (T : Type) (n : usize) (x : array T n) (i : usize), result T. Axiom array_update_usize : forall (T : Type) (n : usize) (x : array T n) (i : usize) (nx : T), result (array T n). +Definition array_index_mut_usize (T : Type) (n : usize) (a : array T n) (i : usize) : + result (T * (T -> result (array T n))) := + match array_index_usize T n a i with + | Fail_ e => Fail_ e + | Return x => Return (x, array_update_usize T n a i) + end. + (*** Slice *) Definition slice T := { l: list T | Z.of_nat (length l) <= usize_max}. @@ -591,11 +599,25 @@ Axiom slice_len : forall (T : Type) (s : slice T), usize. Axiom slice_index_usize : forall (T : Type) (x : slice T) (i : usize), result T. Axiom slice_update_usize : forall (T : Type) (x : slice T) (i : usize) (nx : T), result (slice T). +Definition slice_index_mut_usize (T : Type) (s : slice T) (i : usize) : + result (T * (T -> result (slice T))) := + match slice_index_usize T s i with + | Fail_ e => Fail_ e + | Return x => Return (x, slice_update_usize T s i) + end. + (*** Subslices *) Axiom array_to_slice : forall (T : Type) (n : usize) (x : array T n), result (slice T). Axiom array_from_slice : forall (T : Type) (n : usize) (x : array T n) (s : slice T), result (array T n). +Definition array_to_slice_mut (T : Type) (n : usize) (a : array T n) : + result (slice T * (slice T -> result (array T n))) := + match array_to_slice T n a with + | Fail_ e => Fail_ e + | Return x => Return (x, array_from_slice T n a) + end. + Axiom array_subslice: forall (T : Type) (n : usize) (x : array T n) (r : core_ops_range_Range usize), result (slice T). Axiom array_update_subslice: forall (T : Type) (n : usize) (x : array T n) (r : core_ops_range_Range usize) (ns : slice T), result (array T n). @@ -639,16 +661,9 @@ Definition alloc_vec_Vec_bind {A B} (v: alloc_vec_Vec A) (f: list A -> result (l | right _ => Fail_ Failure end. -(* The **forward** function shouldn't be used *) -Definition alloc_vec_Vec_push_fwd (T: Type) (v: alloc_vec_Vec T) (x: T) : unit := tt. - Definition alloc_vec_Vec_push (T: Type) (v: alloc_vec_Vec T) (x: T) : result (alloc_vec_Vec T) := alloc_vec_Vec_bind v (fun l => Return (l ++ [x])). -(* The **forward** function shouldn't be used *) -Definition alloc_vec_Vec_insert_fwd (T: Type) (v: alloc_vec_Vec T) (i: usize) (x: T) : result unit := - if to_Z i <? alloc_vec_Vec_length v then Return tt else Fail_ Failure. - Definition alloc_vec_Vec_insert (T: Type) (v: alloc_vec_Vec T) (i: usize) (x: T) : result (alloc_vec_Vec T) := alloc_vec_Vec_bind v (fun l => if to_Z i <? Z.of_nat (length l) @@ -661,6 +676,14 @@ Axiom alloc_vec_Vec_index_usize : forall {T : Type} (v : alloc_vec_Vec T) (i : u (* Helper *) Axiom alloc_vec_Vec_update_usize : forall {T : Type} (v : alloc_vec_Vec T) (i : usize) (x : T), result (alloc_vec_Vec T). +Definition alloc_vec_Vec_index_mut_usize {T : Type} (v: alloc_vec_Vec T) (i: usize) : + result (T * (T -> result (alloc_vec_Vec T))) := + match alloc_vec_Vec_index_usize v i with + | Return x => + Return (x, alloc_vec_Vec_update_usize v i) + | Fail_ e => Fail_ e + end. + (* Trait declaration: [core::slice::index::private_slice_index::Sealed] *) Definition core_slice_index_private_slice_index_Sealed (self : Type) := unit. @@ -669,25 +692,23 @@ Record core_slice_index_SliceIndex (Self T : Type) := mk_core_slice_index_SliceI core_slice_index_SliceIndex_sealedInst : core_slice_index_private_slice_index_Sealed Self; core_slice_index_SliceIndex_Output : Type; core_slice_index_SliceIndex_get : Self -> T -> result (option core_slice_index_SliceIndex_Output); - core_slice_index_SliceIndex_get_mut : Self -> T -> result (option core_slice_index_SliceIndex_Output); - core_slice_index_SliceIndex_get_mut_back : Self -> T -> option core_slice_index_SliceIndex_Output -> result T; + core_slice_index_SliceIndex_get_mut : + Self -> T -> result (option core_slice_index_SliceIndex_Output * (option core_slice_index_SliceIndex_Output -> result T)); core_slice_index_SliceIndex_get_unchecked : Self -> const_raw_ptr T -> result (const_raw_ptr core_slice_index_SliceIndex_Output); core_slice_index_SliceIndex_get_unchecked_mut : Self -> mut_raw_ptr T -> result (mut_raw_ptr core_slice_index_SliceIndex_Output); core_slice_index_SliceIndex_index : Self -> T -> result core_slice_index_SliceIndex_Output; - core_slice_index_SliceIndex_index_mut : Self -> T -> result core_slice_index_SliceIndex_Output; - core_slice_index_SliceIndex_index_mut_back : Self -> T -> core_slice_index_SliceIndex_Output -> result T; + core_slice_index_SliceIndex_index_mut : + Self -> T -> result (core_slice_index_SliceIndex_Output * (core_slice_index_SliceIndex_Output -> result T)); }. Arguments mk_core_slice_index_SliceIndex {_ _}. Arguments core_slice_index_SliceIndex_sealedInst {_ _}. Arguments core_slice_index_SliceIndex_Output {_ _}. Arguments core_slice_index_SliceIndex_get {_ _}. Arguments core_slice_index_SliceIndex_get_mut {_ _}. -Arguments core_slice_index_SliceIndex_get_mut_back {_ _}. Arguments core_slice_index_SliceIndex_get_unchecked {_ _}. Arguments core_slice_index_SliceIndex_get_unchecked_mut {_ _}. Arguments core_slice_index_SliceIndex_index {_ _}. Arguments core_slice_index_SliceIndex_index_mut {_ _}. -Arguments core_slice_index_SliceIndex_index_mut_back {_ _}. (* [core::slice::index::[T]::index]: forward function *) Definition core_slice_index_Slice_index @@ -704,11 +725,9 @@ Axiom core_slice_index_RangeUsize_get : forall (T : Type) (i : core_ops_range_Ra (* [core::slice::index::Range::get_mut]: forward function *) Axiom core_slice_index_RangeUsize_get_mut : - forall (T : Type), core_ops_range_Range usize -> slice T -> result (option (slice T)). - -(* [core::slice::index::Range::get_mut]: backward function 0 *) -Axiom core_slice_index_RangeUsize_get_mut_back : - forall (T : Type), core_ops_range_Range usize -> slice T -> option (slice T) -> result (slice T). + forall (T : Type), + core_ops_range_Range usize -> slice T -> + result (option (slice T) * (option (slice T) -> result (slice T))). (* [core::slice::index::Range::get_unchecked]: forward function *) Definition core_slice_index_RangeUsize_get_unchecked @@ -732,21 +751,14 @@ Axiom core_slice_index_RangeUsize_index : (* [core::slice::index::Range::index_mut]: forward function *) Axiom core_slice_index_RangeUsize_index_mut : - forall (T : Type), core_ops_range_Range usize -> slice T -> result (slice T). - -(* [core::slice::index::Range::index_mut]: backward function 0 *) -Axiom core_slice_index_RangeUsize_index_mut_back : - forall (T : Type), core_ops_range_Range usize -> slice T -> slice T -> result (slice T). + forall (T : Type), core_ops_range_Range usize -> slice T -> result (slice T * (slice T -> result (slice T))). (* [core::slice::index::[T]::index_mut]: forward function *) Axiom core_slice_index_Slice_index_mut : forall (T Idx : Type) (inst : core_slice_index_SliceIndex Idx (slice T)), - slice T -> Idx -> result inst.(core_slice_index_SliceIndex_Output). - -(* [core::slice::index::[T]::index_mut]: backward function 0 *) -Axiom core_slice_index_Slice_index_mut_back : - forall (T Idx : Type) (inst : core_slice_index_SliceIndex Idx (slice T)), - slice T -> Idx -> inst.(core_slice_index_SliceIndex_Output) -> result (slice T). + slice T -> Idx -> + result (inst.(core_slice_index_SliceIndex_Output) * + (inst.(core_slice_index_SliceIndex_Output) -> result (slice T))). (* [core::array::[T; N]::index]: forward function *) Axiom core_array_Array_index : @@ -756,12 +768,9 @@ Axiom core_array_Array_index : (* [core::array::[T; N]::index_mut]: forward function *) Axiom core_array_Array_index_mut : forall (T Idx : Type) (N : usize) (inst : core_ops_index_IndexMut (slice T) Idx) - (a : array T N) (i : Idx), result inst.(core_ops_index_IndexMut_indexInst).(core_ops_index_Index_Output). - -(* [core::array::[T; N]::index_mut]: backward function 0 *) -Axiom core_array_Array_index_mut_back : - forall (T Idx : Type) (N : usize) (inst : core_ops_index_IndexMut (slice T) Idx) - (a : array T N) (i : Idx) (x : inst.(core_ops_index_IndexMut_indexInst).(core_ops_index_Index_Output)), result (array T N). + (a : array T N) (i : Idx), + result (inst.(core_ops_index_IndexMut_indexInst).(core_ops_index_Index_Output) * + (inst.(core_ops_index_IndexMut_indexInst).(core_ops_index_Index_Output) -> result (array T N))). (* Trait implementation: [core::slice::index::private_slice_index::Range] *) Definition core_slice_index_private_slice_index_SealedRangeUsizeInst @@ -774,12 +783,10 @@ Definition core_slice_index_SliceIndexRangeUsizeSliceTInst (T : Type) : core_slice_index_SliceIndex_Output := slice T; core_slice_index_SliceIndex_get := core_slice_index_RangeUsize_get T; core_slice_index_SliceIndex_get_mut := core_slice_index_RangeUsize_get_mut T; - core_slice_index_SliceIndex_get_mut_back := core_slice_index_RangeUsize_get_mut_back T; core_slice_index_SliceIndex_get_unchecked := core_slice_index_RangeUsize_get_unchecked T; core_slice_index_SliceIndex_get_unchecked_mut := core_slice_index_RangeUsize_get_unchecked_mut T; core_slice_index_SliceIndex_index := core_slice_index_RangeUsize_index T; core_slice_index_SliceIndex_index_mut := core_slice_index_RangeUsize_index_mut T; - core_slice_index_SliceIndex_index_mut_back := core_slice_index_RangeUsize_index_mut_back T; |}. (* Trait implementation: [core::slice::index::[T]] *) @@ -796,7 +803,6 @@ Definition core_ops_index_IndexMutSliceTIInst (T Idx : Type) core_ops_index_IndexMut (slice T) Idx := {| core_ops_index_IndexMut_indexInst := core_ops_index_IndexSliceTIInst T Idx inst; core_ops_index_IndexMut_index_mut := core_slice_index_Slice_index_mut T Idx inst; - core_ops_index_IndexMut_index_mut_back := core_slice_index_Slice_index_mut_back T Idx inst; |}. (* Trait implementation: [core::array::[T; N]] *) @@ -813,18 +819,14 @@ Definition core_ops_index_IndexMutArrayInst (T Idx : Type) (N : usize) core_ops_index_IndexMut (array T N) Idx := {| core_ops_index_IndexMut_indexInst := core_ops_index_IndexArrayInst T Idx N inst.(core_ops_index_IndexMut_indexInst); core_ops_index_IndexMut_index_mut := core_array_Array_index_mut T Idx N inst; - core_ops_index_IndexMut_index_mut_back := core_array_Array_index_mut_back T Idx N inst; |}. (* [core::slice::index::usize::get]: forward function *) Axiom core_slice_index_usize_get : forall (T : Type), usize -> slice T -> result (option T). (* [core::slice::index::usize::get_mut]: forward function *) -Axiom core_slice_index_usize_get_mut : forall (T : Type), usize -> slice T -> result (option T). - -(* [core::slice::index::usize::get_mut]: backward function 0 *) -Axiom core_slice_index_usize_get_mut_back : - forall (T : Type), usize -> slice T -> option T -> result (slice T). +Axiom core_slice_index_usize_get_mut : + forall (T : Type), usize -> slice T -> result (option T * (option T -> result (slice T))). (* [core::slice::index::usize::get_unchecked]: forward function *) Axiom core_slice_index_usize_get_unchecked : @@ -838,11 +840,8 @@ Axiom core_slice_index_usize_get_unchecked_mut : Axiom core_slice_index_usize_index : forall (T : Type), usize -> slice T -> result T. (* [core::slice::index::usize::index_mut]: forward function *) -Axiom core_slice_index_usize_index_mut : forall (T : Type), usize -> slice T -> result T. - -(* [core::slice::index::usize::index_mut]: backward function 0 *) -Axiom core_slice_index_usize_index_mut_back : - forall (T : Type), usize -> slice T -> T -> result (slice T). +Axiom core_slice_index_usize_index_mut : + forall (T : Type), usize -> slice T -> result (T * (T -> result (slice T))). (* Trait implementation: [core::slice::index::private_slice_index::usize] *) Definition core_slice_index_private_slice_index_SealedUsizeInst @@ -855,12 +854,10 @@ Definition core_slice_index_SliceIndexUsizeSliceTInst (T : Type) : core_slice_index_SliceIndex_Output := T; core_slice_index_SliceIndex_get := core_slice_index_usize_get T; core_slice_index_SliceIndex_get_mut := core_slice_index_usize_get_mut T; - core_slice_index_SliceIndex_get_mut_back := core_slice_index_usize_get_mut_back T; core_slice_index_SliceIndex_get_unchecked := core_slice_index_usize_get_unchecked T; core_slice_index_SliceIndex_get_unchecked_mut := core_slice_index_usize_get_unchecked_mut T; core_slice_index_SliceIndex_index := core_slice_index_usize_index T; core_slice_index_SliceIndex_index_mut := core_slice_index_usize_index_mut T; - core_slice_index_SliceIndex_index_mut_back := core_slice_index_usize_index_mut_back T; |}. (* [alloc::vec::Vec::index]: forward function *) @@ -869,12 +866,9 @@ Axiom alloc_vec_Vec_index : forall (T Idx : Type) (inst : core_slice_index_Slice (* [alloc::vec::Vec::index_mut]: forward function *) Axiom alloc_vec_Vec_index_mut : forall (T Idx : Type) (inst : core_slice_index_SliceIndex Idx (slice T)) - (Self : alloc_vec_Vec T) (i : Idx), result inst.(core_slice_index_SliceIndex_Output). - -(* [alloc::vec::Vec::index_mut]: backward function 0 *) -Axiom alloc_vec_Vec_index_mut_back : - forall (T Idx : Type) (inst : core_slice_index_SliceIndex Idx (slice T)) - (Self : alloc_vec_Vec T) (i : Idx) (x : inst.(core_slice_index_SliceIndex_Output)), result (alloc_vec_Vec T). + (Self : alloc_vec_Vec T) (i : Idx), + result (inst.(core_slice_index_SliceIndex_Output) * + (inst.(core_slice_index_SliceIndex_Output) -> result (alloc_vec_Vec T))). (* Trait implementation: [alloc::vec::Vec] *) Definition alloc_vec_Vec_coreopsindexIndexInst (T Idx : Type) @@ -890,7 +884,6 @@ Definition alloc_vec_Vec_coreopsindexIndexMutInst (T Idx : Type) core_ops_index_IndexMut (alloc_vec_Vec T) Idx := {| core_ops_index_IndexMut_indexInst := alloc_vec_Vec_coreopsindexIndexInst T Idx inst; core_ops_index_IndexMut_index_mut := alloc_vec_Vec_index_mut T Idx inst; - core_ops_index_IndexMut_index_mut_back := alloc_vec_Vec_index_mut_back T Idx inst; |}. (*** Theorems *) @@ -901,10 +894,6 @@ Axiom alloc_vec_Vec_index_eq : forall {a : Type} (v : alloc_vec_Vec a) (i : usiz Axiom alloc_vec_Vec_index_mut_eq : forall {a : Type} (v : alloc_vec_Vec a) (i : usize) (x : a), alloc_vec_Vec_index_mut a usize (core_slice_index_SliceIndexUsizeSliceTInst a) v i = - alloc_vec_Vec_index_usize v i. - -Axiom alloc_vec_Vec_index_mut_back_eq : forall {a : Type} (v : alloc_vec_Vec a) (i : usize) (x : a), - alloc_vec_Vec_index_mut_back a usize (core_slice_index_SliceIndexUsizeSliceTInst a) v i x = - alloc_vec_Vec_update_usize v i x. + alloc_vec_Vec_index_mut_usize v i. End Primitives. |