diff options
author | Son HO | 2023-12-23 01:46:58 +0100 |
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committer | GitHub | 2023-12-23 01:46:58 +0100 |
commit | 15a7d7b7322a1cd0ebeb328fde214060e23fa8b4 (patch) | |
tree | 6cce7d76969870f5bc18c5a7cd585e8873a1c0dc /tests/coq | |
parent | c3e0b90e422cbd902ee6d2b47073940c0017b7fb (diff) | |
parent | 63ccbd914d5d44aa30dee38a6fcc019310ab640b (diff) |
Merge pull request #64 from AeneasVerif/son/merge_back
Merge the forward/backward functions
Diffstat (limited to '')
24 files changed, 1931 insertions, 2974 deletions
diff --git a/tests/coq/array/Array.v b/tests/coq/array/Array.v index 1f2cc0e0..3a30413a 100644 --- a/tests/coq/array/Array.v +++ b/tests/coq/array/Array.v @@ -12,108 +12,95 @@ 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 + Return (s1, to_slice_mut_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 + Return (t, index_mut_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 + Return (t, index_mut_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 +109,39 @@ 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 + Return (s, index_mut_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 + Return (s, to_slice_mut_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 +151,34 @@ 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 + Return (s, index_mut_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 +188,164 @@ 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 +354,119 @@ 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 +476,7 @@ 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 +485,8 @@ 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 +494,25 @@ 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. diff --git a/tests/coq/betree/BetreeMain_Funs.v b/tests/coq/betree/BetreeMain_Funs.v index a5dd4230..cefab0f4 100644 --- a/tests/coq/betree/BetreeMain_Funs.v +++ b/tests/coq/betree/BetreeMain_Funs.v @@ -12,7 +12,7 @@ Require Import BetreeMain_FunsExternal. Include BetreeMain_FunsExternal. Module BetreeMain_Funs. -(** [betree_main::betree::load_internal_node]: forward function +(** [betree_main::betree::load_internal_node]: Source: 'src/betree.rs', lines 36:0-36:52 *) Definition betree_load_internal_node (id : u64) (st : state) : @@ -21,70 +21,57 @@ Definition betree_load_internal_node betree_utils_load_internal_node id st . -(** [betree_main::betree::store_internal_node]: forward function +(** [betree_main::betree::store_internal_node]: Source: 'src/betree.rs', lines 41:0-41:60 *) Definition betree_store_internal_node (id : u64) (content : betree_List_t (u64 * betree_Message_t)) (st : state) : result (state * unit) := p <- betree_utils_store_internal_node id content st; - let (st0, _) := p in - Return (st0, tt) + let (st1, _) := p in + Return (st1, tt) . -(** [betree_main::betree::load_leaf_node]: forward function +(** [betree_main::betree::load_leaf_node]: Source: 'src/betree.rs', lines 46:0-46:44 *) Definition betree_load_leaf_node (id : u64) (st : state) : result (state * (betree_List_t (u64 * u64))) := betree_utils_load_leaf_node id st . -(** [betree_main::betree::store_leaf_node]: forward function +(** [betree_main::betree::store_leaf_node]: Source: 'src/betree.rs', lines 51:0-51:52 *) Definition betree_store_leaf_node (id : u64) (content : betree_List_t (u64 * u64)) (st : state) : result (state * unit) := p <- betree_utils_store_leaf_node id content st; - let (st0, _) := p in - Return (st0, tt) + let (st1, _) := p in + Return (st1, tt) . -(** [betree_main::betree::fresh_node_id]: forward function +(** [betree_main::betree::fresh_node_id]: Source: 'src/betree.rs', lines 55:0-55:48 *) -Definition betree_fresh_node_id (counter : u64) : result u64 := - _ <- u64_add counter 1%u64; Return counter +Definition betree_fresh_node_id (counter : u64) : result (u64 * u64) := + counter1 <- u64_add counter 1%u64; Return (counter, counter1) . -(** [betree_main::betree::fresh_node_id]: backward function 0 - Source: 'src/betree.rs', lines 55:0-55:48 *) -Definition betree_fresh_node_id_back (counter : u64) : result u64 := - u64_add counter 1%u64 -. - -(** [betree_main::betree::{betree_main::betree::NodeIdCounter}::new]: forward function +(** [betree_main::betree::{betree_main::betree::NodeIdCounter}::new]: Source: 'src/betree.rs', lines 206:4-206:20 *) Definition betree_NodeIdCounter_new : result betree_NodeIdCounter_t := Return {| betree_NodeIdCounter_next_node_id := 0%u64 |} . -(** [betree_main::betree::{betree_main::betree::NodeIdCounter}::fresh_id]: forward function +(** [betree_main::betree::{betree_main::betree::NodeIdCounter}::fresh_id]: Source: 'src/betree.rs', lines 210:4-210:36 *) Definition betree_NodeIdCounter_fresh_id - (self : betree_NodeIdCounter_t) : result u64 := - _ <- u64_add self.(betree_NodeIdCounter_next_node_id) 1%u64; - Return self.(betree_NodeIdCounter_next_node_id) -. - -(** [betree_main::betree::{betree_main::betree::NodeIdCounter}::fresh_id]: backward function 0 - Source: 'src/betree.rs', lines 210:4-210:36 *) -Definition betree_NodeIdCounter_fresh_id_back - (self : betree_NodeIdCounter_t) : result betree_NodeIdCounter_t := + (self : betree_NodeIdCounter_t) : result (u64 * betree_NodeIdCounter_t) := i <- u64_add self.(betree_NodeIdCounter_next_node_id) 1%u64; - Return {| betree_NodeIdCounter_next_node_id := i |} + Return (self.(betree_NodeIdCounter_next_node_id), + {| betree_NodeIdCounter_next_node_id := i |}) . -(** [betree_main::betree::upsert_update]: forward function +(** [betree_main::betree::upsert_update]: Source: 'src/betree.rs', lines 234:0-234:70 *) Definition betree_upsert_update (prev : option u64) (st : betree_UpsertFunState_t) : result u64 := @@ -92,109 +79,95 @@ Definition betree_upsert_update | None => match st with | Betree_UpsertFunState_Add v => Return v - | Betree_UpsertFunState_Sub i => Return 0%u64 + | Betree_UpsertFunState_Sub _ => Return 0%u64 end - | Some prev0 => + | Some prev1 => match st with | Betree_UpsertFunState_Add v => - margin <- u64_sub core_u64_max prev0; - if margin s>= v then u64_add prev0 v else Return core_u64_max + margin <- u64_sub core_u64_max prev1; + if margin s>= v then u64_add prev1 v else Return core_u64_max | Betree_UpsertFunState_Sub v => - if prev0 s>= v then u64_sub prev0 v else Return 0%u64 + if prev1 s>= v then u64_sub prev1 v else Return 0%u64 end end . -(** [betree_main::betree::{betree_main::betree::List<T>#1}::len]: forward function +(** [betree_main::betree::{betree_main::betree::List<T>#1}::len]: Source: 'src/betree.rs', lines 276:4-276:24 *) Fixpoint betree_List_len (T : Type) (n : nat) (self : betree_List_t T) : result u64 := match n with | O => Fail_ OutOfFuel - | S n0 => + | S n1 => match self with - | Betree_List_Cons t tl => i <- betree_List_len T n0 tl; u64_add 1%u64 i + | Betree_List_Cons _ tl => i <- betree_List_len T n1 tl; u64_add 1%u64 i | Betree_List_Nil => Return 0%u64 end end . -(** [betree_main::betree::{betree_main::betree::List<T>#1}::split_at]: forward function +(** [betree_main::betree::{betree_main::betree::List<T>#1}::split_at]: Source: 'src/betree.rs', lines 284:4-284:51 *) Fixpoint betree_List_split_at - (T : Type) (n : nat) (self : betree_List_t T) (n0 : u64) : + (T : Type) (n : nat) (self : betree_List_t T) (n1 : u64) : result ((betree_List_t T) * (betree_List_t T)) := match n with | O => Fail_ OutOfFuel - | S n1 => - if n0 s= 0%u64 + | S n2 => + if n1 s= 0%u64 then Return (Betree_List_Nil, self) else match self with | Betree_List_Cons hd tl => - i <- u64_sub n0 1%u64; - p <- betree_List_split_at T n1 tl i; + i <- u64_sub n1 1%u64; + p <- betree_List_split_at T n2 tl i; let (ls0, ls1) := p in - let l := ls0 in - Return (Betree_List_Cons hd l, ls1) + Return (Betree_List_Cons hd ls0, ls1) | Betree_List_Nil => Fail_ Failure end end . -(** [betree_main::betree::{betree_main::betree::List<T>#1}::push_front]: merged forward/backward function - (there is a single backward function, and the forward function returns ()) +(** [betree_main::betree::{betree_main::betree::List<T>#1}::push_front]: Source: 'src/betree.rs', lines 299:4-299:34 *) Definition betree_List_push_front (T : Type) (self : betree_List_t T) (x : T) : result (betree_List_t T) := - let tl := core_mem_replace (betree_List_t T) self Betree_List_Nil in - let l := tl in - Return (Betree_List_Cons x l) + let (tl, _) := core_mem_replace (betree_List_t T) self Betree_List_Nil in + Return (Betree_List_Cons x tl) . -(** [betree_main::betree::{betree_main::betree::List<T>#1}::pop_front]: forward function +(** [betree_main::betree::{betree_main::betree::List<T>#1}::pop_front]: Source: 'src/betree.rs', lines 306:4-306:32 *) Definition betree_List_pop_front - (T : Type) (self : betree_List_t T) : result T := - let ls := core_mem_replace (betree_List_t T) self Betree_List_Nil in + (T : Type) (self : betree_List_t T) : result (T * (betree_List_t T)) := + let (ls, _) := core_mem_replace (betree_List_t T) self Betree_List_Nil in match ls with - | Betree_List_Cons x tl => Return x + | Betree_List_Cons x tl => Return (x, tl) | Betree_List_Nil => Fail_ Failure end . -(** [betree_main::betree::{betree_main::betree::List<T>#1}::pop_front]: backward function 0 - Source: 'src/betree.rs', lines 306:4-306:32 *) -Definition betree_List_pop_front_back - (T : Type) (self : betree_List_t T) : result (betree_List_t T) := - let ls := core_mem_replace (betree_List_t T) self Betree_List_Nil in - match ls with - | Betree_List_Cons x tl => Return tl - | Betree_List_Nil => Fail_ Failure - end -. - -(** [betree_main::betree::{betree_main::betree::List<T>#1}::hd]: forward function +(** [betree_main::betree::{betree_main::betree::List<T>#1}::hd]: Source: 'src/betree.rs', lines 318:4-318:22 *) Definition betree_List_hd (T : Type) (self : betree_List_t T) : result T := match self with - | Betree_List_Cons hd l => Return hd + | Betree_List_Cons hd _ => Return hd | Betree_List_Nil => Fail_ Failure end . -(** [betree_main::betree::{betree_main::betree::List<(u64, T)>#2}::head_has_key]: forward function +(** [betree_main::betree::{betree_main::betree::List<(u64, T)>#2}::head_has_key]: Source: 'src/betree.rs', lines 327:4-327:44 *) Definition betree_ListTupleU64T_head_has_key (T : Type) (self : betree_List_t (u64 * T)) (key : u64) : result bool := match self with - | Betree_List_Cons hd l => let (i, _) := hd in Return (i s= key) + | Betree_List_Cons hd _ => let (i, _) := hd in Return (i s= key) | Betree_List_Nil => Return false end . -(** [betree_main::betree::{betree_main::betree::List<(u64, T)>#2}::partition_at_pivot]: forward function +(** [betree_main::betree::{betree_main::betree::List<(u64, T)>#2}::partition_at_pivot]: Source: 'src/betree.rs', lines 339:4-339:73 *) Fixpoint betree_ListTupleU64T_partition_at_pivot (T : Type) (n : nat) (self : betree_List_t (u64 * T)) (pivot : u64) : @@ -202,123 +175,85 @@ Fixpoint betree_ListTupleU64T_partition_at_pivot := match n with | O => Fail_ OutOfFuel - | S n0 => + | S n1 => match self with | Betree_List_Cons hd tl => let (i, t) := hd in if i s>= pivot then Return (Betree_List_Nil, Betree_List_Cons (i, t) tl) else ( - p <- betree_ListTupleU64T_partition_at_pivot T n0 tl pivot; + p <- betree_ListTupleU64T_partition_at_pivot T n1 tl pivot; let (ls0, ls1) := p in - let l := ls0 in - Return (Betree_List_Cons (i, t) l, ls1)) + Return (Betree_List_Cons (i, t) ls0, ls1)) | Betree_List_Nil => Return (Betree_List_Nil, Betree_List_Nil) end end . -(** [betree_main::betree::{betree_main::betree::Leaf#3}::split]: forward function +(** [betree_main::betree::{betree_main::betree::Leaf#3}::split]: Source: 'src/betree.rs', lines 359:4-364:17 *) Definition betree_Leaf_split (n : nat) (self : betree_Leaf_t) (content : betree_List_t (u64 * u64)) (params : betree_Params_t) (node_id_cnt : betree_NodeIdCounter_t) (st : state) : - result (state * betree_Internal_t) + result (state * (betree_Internal_t * betree_NodeIdCounter_t)) := p <- betree_List_split_at (u64 * u64) n content params.(betree_Params_split_size); let (content0, content1) := p in - p0 <- betree_List_hd (u64 * u64) content1; - let (pivot, _) := p0 in - id0 <- betree_NodeIdCounter_fresh_id node_id_cnt; - node_id_cnt0 <- betree_NodeIdCounter_fresh_id_back node_id_cnt; - id1 <- betree_NodeIdCounter_fresh_id node_id_cnt0; - p1 <- betree_store_leaf_node id0 content0 st; - let (st0, _) := p1 in - p2 <- betree_store_leaf_node id1 content1 st0; - let (st1, _) := p2 in - let n0 := Betree_Node_Leaf + p1 <- betree_List_hd (u64 * u64) content1; + let (pivot, _) := p1 in + p2 <- betree_NodeIdCounter_fresh_id node_id_cnt; + let (id0, nic) := p2 in + p3 <- betree_NodeIdCounter_fresh_id nic; + let (id1, nic1) := p3 in + p4 <- betree_store_leaf_node id0 content0 st; + let (st1, _) := p4 in + p5 <- betree_store_leaf_node id1 content1 st1; + let (st2, _) := p5 in + let n1 := Betree_Node_Leaf {| betree_Leaf_id := id0; betree_Leaf_size := params.(betree_Params_split_size) |} in - let n1 := Betree_Node_Leaf + let n2 := Betree_Node_Leaf {| betree_Leaf_id := id1; betree_Leaf_size := params.(betree_Params_split_size) |} in - Return (st1, mkbetree_Internal_t self.(betree_Leaf_id) pivot n0 n1) + Return (st2, (mkbetree_Internal_t self.(betree_Leaf_id) pivot n1 n2, nic1)) . -(** [betree_main::betree::{betree_main::betree::Leaf#3}::split]: backward function 2 - Source: 'src/betree.rs', lines 359:4-364:17 *) -Definition betree_Leaf_split_back - (n : nat) (self : betree_Leaf_t) (content : betree_List_t (u64 * u64)) - (params : betree_Params_t) (node_id_cnt : betree_NodeIdCounter_t) - (st : state) : - result betree_NodeIdCounter_t - := - p <- - betree_List_split_at (u64 * u64) n content - params.(betree_Params_split_size); - let (content0, content1) := p in - _ <- betree_List_hd (u64 * u64) content1; - id0 <- betree_NodeIdCounter_fresh_id node_id_cnt; - node_id_cnt0 <- betree_NodeIdCounter_fresh_id_back node_id_cnt; - id1 <- betree_NodeIdCounter_fresh_id node_id_cnt0; - p0 <- betree_store_leaf_node id0 content0 st; - let (st0, _) := p0 in - _ <- betree_store_leaf_node id1 content1 st0; - betree_NodeIdCounter_fresh_id_back node_id_cnt0 -. - -(** [betree_main::betree::{betree_main::betree::Node#5}::lookup_first_message_for_key]: forward function +(** [betree_main::betree::{betree_main::betree::Node#5}::lookup_first_message_for_key]: Source: 'src/betree.rs', lines 789:4-792:34 *) Fixpoint betree_Node_lookup_first_message_for_key (n : nat) (key : u64) (msgs : betree_List_t (u64 * betree_Message_t)) : - result (betree_List_t (u64 * betree_Message_t)) - := - match n with - | O => Fail_ OutOfFuel - | S n0 => - match msgs with - | Betree_List_Cons x next_msgs => - let (i, m) := x in - if i s>= key - then Return (Betree_List_Cons (i, m) next_msgs) - else betree_Node_lookup_first_message_for_key n0 key next_msgs - | Betree_List_Nil => Return Betree_List_Nil - end - end -. - -(** [betree_main::betree::{betree_main::betree::Node#5}::lookup_first_message_for_key]: backward function 0 - Source: 'src/betree.rs', lines 789:4-792:34 *) -Fixpoint betree_Node_lookup_first_message_for_key_back - (n : nat) (key : u64) (msgs : betree_List_t (u64 * betree_Message_t)) - (ret : betree_List_t (u64 * betree_Message_t)) : - result (betree_List_t (u64 * betree_Message_t)) + result ((betree_List_t (u64 * betree_Message_t)) * (betree_List_t (u64 * + betree_Message_t) -> result (betree_List_t (u64 * betree_Message_t)))) := match n with | O => Fail_ OutOfFuel - | S n0 => + | S n1 => match msgs with | Betree_List_Cons x next_msgs => let (i, m) := x in if i s>= key - then Return ret + then Return (Betree_List_Cons (i, m) next_msgs, Return) else ( - next_msgs0 <- - betree_Node_lookup_first_message_for_key_back n0 key next_msgs ret; - Return (Betree_List_Cons (i, m) next_msgs0)) - | Betree_List_Nil => Return ret + p <- betree_Node_lookup_first_message_for_key n1 key next_msgs; + let (l, lookup_first_message_for_key_back) := p in + let back_'a := + fun (ret : betree_List_t (u64 * betree_Message_t)) => + next_msgs1 <- lookup_first_message_for_key_back ret; + Return (Betree_List_Cons (i, m) next_msgs1) in + Return (l, back_'a)) + | Betree_List_Nil => Return (Betree_List_Nil, Return) end end . -(** [betree_main::betree::{betree_main::betree::Node#5}::lookup_in_bindings]: forward function +(** [betree_main::betree::{betree_main::betree::Node#5}::lookup_in_bindings]: Source: 'src/betree.rs', lines 636:4-636:80 *) Fixpoint betree_Node_lookup_in_bindings (n : nat) (key : u64) (bindings : betree_List_t (u64 * u64)) : @@ -326,263 +261,146 @@ Fixpoint betree_Node_lookup_in_bindings := match n with | O => Fail_ OutOfFuel - | S n0 => + | S n1 => match bindings with | Betree_List_Cons hd tl => - let (i, i0) := hd in + let (i, i1) := hd in if i s= key - then Return (Some i0) + then Return (Some i1) else if i s> key then Return None - else betree_Node_lookup_in_bindings n0 key tl + else betree_Node_lookup_in_bindings n1 key tl | Betree_List_Nil => Return None end end . -(** [betree_main::betree::{betree_main::betree::Node#5}::apply_upserts]: forward function +(** [betree_main::betree::{betree_main::betree::Node#5}::apply_upserts]: Source: 'src/betree.rs', lines 819:4-819:90 *) Fixpoint betree_Node_apply_upserts (n : nat) (msgs : betree_List_t (u64 * betree_Message_t)) (prev : option u64) (key : u64) (st : state) : - result (state * u64) + result (state * (u64 * (betree_List_t (u64 * betree_Message_t)))) := match n with | O => Fail_ OutOfFuel - | S n0 => + | S n1 => b <- betree_ListTupleU64T_head_has_key betree_Message_t msgs key; if b then ( - msg <- betree_List_pop_front (u64 * betree_Message_t) msgs; + p <- betree_List_pop_front (u64 * betree_Message_t) msgs; + let (msg, l) := p in let (_, m) := msg in match m with - | Betree_Message_Insert i => Fail_ Failure + | Betree_Message_Insert _ => Fail_ Failure | Betree_Message_Delete => Fail_ Failure | Betree_Message_Upsert s => v <- betree_upsert_update prev s; - msgs0 <- betree_List_pop_front_back (u64 * betree_Message_t) msgs; - betree_Node_apply_upserts n0 msgs0 (Some v) key st + betree_Node_apply_upserts n1 l (Some v) key st end) else ( p <- core_option_Option_unwrap u64 prev st; - let (st0, v) := p in - _ <- + let (st1, v) := p in + l <- betree_List_push_front (u64 * betree_Message_t) msgs (key, Betree_Message_Insert v); - Return (st0, v)) - end -. - -(** [betree_main::betree::{betree_main::betree::Node#5}::apply_upserts]: backward function 0 - Source: 'src/betree.rs', lines 819:4-819:90 *) -Fixpoint betree_Node_apply_upserts_back - (n : nat) (msgs : betree_List_t (u64 * betree_Message_t)) (prev : option u64) - (key : u64) (st : state) : - result (betree_List_t (u64 * betree_Message_t)) - := - match n with - | O => Fail_ OutOfFuel - | S n0 => - b <- betree_ListTupleU64T_head_has_key betree_Message_t msgs key; - if b - then ( - msg <- betree_List_pop_front (u64 * betree_Message_t) msgs; - let (_, m) := msg in - match m with - | Betree_Message_Insert i => Fail_ Failure - | Betree_Message_Delete => Fail_ Failure - | Betree_Message_Upsert s => - v <- betree_upsert_update prev s; - msgs0 <- betree_List_pop_front_back (u64 * betree_Message_t) msgs; - betree_Node_apply_upserts_back n0 msgs0 (Some v) key st - end) - else ( - p <- core_option_Option_unwrap u64 prev st; - let (_, v) := p in - betree_List_push_front (u64 * betree_Message_t) msgs (key, - Betree_Message_Insert v)) + Return (st1, (v, l))) end . -(** [betree_main::betree::{betree_main::betree::Internal#4}::lookup_in_children]: forward function +(** [betree_main::betree::{betree_main::betree::Internal#4}::lookup_in_children]: Source: 'src/betree.rs', lines 395:4-395:63 *) Fixpoint betree_Internal_lookup_in_children (n : nat) (self : betree_Internal_t) (key : u64) (st : state) : - result (state * (option u64)) - := - match n with - | O => Fail_ OutOfFuel - | S n0 => - if key s< self.(betree_Internal_pivot) - then betree_Node_lookup n0 self.(betree_Internal_left) key st - else betree_Node_lookup n0 self.(betree_Internal_right) key st - end - -(** [betree_main::betree::{betree_main::betree::Internal#4}::lookup_in_children]: backward function 0 - Source: 'src/betree.rs', lines 395:4-395:63 *) -with betree_Internal_lookup_in_children_back - (n : nat) (self : betree_Internal_t) (key : u64) (st : state) : - result betree_Internal_t + result (state * ((option u64) * betree_Internal_t)) := match n with | O => Fail_ OutOfFuel - | S n0 => + | S n1 => if key s< self.(betree_Internal_pivot) then ( - n1 <- betree_Node_lookup_back n0 self.(betree_Internal_left) key st; - Return (mkbetree_Internal_t self.(betree_Internal_id) - self.(betree_Internal_pivot) n1 self.(betree_Internal_right))) + p <- betree_Node_lookup n1 self.(betree_Internal_left) key st; + let (st1, p1) := p in + let (o, n2) := p1 in + Return (st1, (o, mkbetree_Internal_t self.(betree_Internal_id) + self.(betree_Internal_pivot) n2 self.(betree_Internal_right)))) else ( - n1 <- betree_Node_lookup_back n0 self.(betree_Internal_right) key st; - Return (mkbetree_Internal_t self.(betree_Internal_id) - self.(betree_Internal_pivot) self.(betree_Internal_left) n1)) + p <- betree_Node_lookup n1 self.(betree_Internal_right) key st; + let (st1, p1) := p in + let (o, n2) := p1 in + Return (st1, (o, mkbetree_Internal_t self.(betree_Internal_id) + self.(betree_Internal_pivot) self.(betree_Internal_left) n2))) end -(** [betree_main::betree::{betree_main::betree::Node#5}::lookup]: forward function +(** [betree_main::betree::{betree_main::betree::Node#5}::lookup]: Source: 'src/betree.rs', lines 709:4-709:58 *) with betree_Node_lookup (n : nat) (self : betree_Node_t) (key : u64) (st : state) : - result (state * (option u64)) - := - match n with - | O => Fail_ OutOfFuel - | S n0 => - match self with - | Betree_Node_Internal node => - p <- betree_load_internal_node node.(betree_Internal_id) st; - let (st0, msgs) := p in - pending <- betree_Node_lookup_first_message_for_key n0 key msgs; - match pending with - | Betree_List_Cons p0 l => - let (k, msg) := p0 in - if k s<> key - then ( - p1 <- betree_Internal_lookup_in_children n0 node key st0; - let (st1, o) := p1 in - _ <- - betree_Node_lookup_first_message_for_key_back n0 key msgs - (Betree_List_Cons (k, msg) l); - Return (st1, o)) - else - match msg with - | Betree_Message_Insert v => - _ <- - betree_Node_lookup_first_message_for_key_back n0 key msgs - (Betree_List_Cons (k, Betree_Message_Insert v) l); - Return (st0, Some v) - | Betree_Message_Delete => - _ <- - betree_Node_lookup_first_message_for_key_back n0 key msgs - (Betree_List_Cons (k, Betree_Message_Delete) l); - Return (st0, None) - | Betree_Message_Upsert ufs => - p1 <- betree_Internal_lookup_in_children n0 node key st0; - let (st1, v) := p1 in - p2 <- - betree_Node_apply_upserts n0 (Betree_List_Cons (k, - Betree_Message_Upsert ufs) l) v key st1; - let (st2, v0) := p2 in - node0 <- betree_Internal_lookup_in_children_back n0 node key st0; - pending0 <- - betree_Node_apply_upserts_back n0 (Betree_List_Cons (k, - Betree_Message_Upsert ufs) l) v key st1; - msgs0 <- - betree_Node_lookup_first_message_for_key_back n0 key msgs - pending0; - p3 <- - betree_store_internal_node node0.(betree_Internal_id) msgs0 st2; - let (st3, _) := p3 in - Return (st3, Some v0) - end - | Betree_List_Nil => - p0 <- betree_Internal_lookup_in_children n0 node key st0; - let (st1, o) := p0 in - _ <- - betree_Node_lookup_first_message_for_key_back n0 key msgs - Betree_List_Nil; - Return (st1, o) - end - | Betree_Node_Leaf node => - p <- betree_load_leaf_node node.(betree_Leaf_id) st; - let (st0, bindings) := p in - o <- betree_Node_lookup_in_bindings n0 key bindings; - Return (st0, o) - end - end - -(** [betree_main::betree::{betree_main::betree::Node#5}::lookup]: backward function 0 - Source: 'src/betree.rs', lines 709:4-709:58 *) -with betree_Node_lookup_back - (n : nat) (self : betree_Node_t) (key : u64) (st : state) : - result betree_Node_t + result (state * ((option u64) * betree_Node_t)) := match n with | O => Fail_ OutOfFuel - | S n0 => + | S n1 => match self with | Betree_Node_Internal node => p <- betree_load_internal_node node.(betree_Internal_id) st; - let (st0, msgs) := p in - pending <- betree_Node_lookup_first_message_for_key n0 key msgs; + let (st1, msgs) := p in + p1 <- betree_Node_lookup_first_message_for_key n1 key msgs; + let (pending, lookup_first_message_for_key_back) := p1 in match pending with - | Betree_List_Cons p0 l => - let (k, msg) := p0 in + | Betree_List_Cons p2 l => + let (k, msg) := p2 in if k s<> key then ( - _ <- - betree_Node_lookup_first_message_for_key_back n0 key msgs - (Betree_List_Cons (k, msg) l); - node0 <- betree_Internal_lookup_in_children_back n0 node key st0; - Return (Betree_Node_Internal node0)) + p3 <- betree_Internal_lookup_in_children n1 node key st1; + let (st2, p4) := p3 in + let (o, i) := p4 in + _ <- lookup_first_message_for_key_back (Betree_List_Cons (k, msg) l); + Return (st2, (o, Betree_Node_Internal i))) else match msg with | Betree_Message_Insert v => _ <- - betree_Node_lookup_first_message_for_key_back n0 key msgs - (Betree_List_Cons (k, Betree_Message_Insert v) l); - Return (Betree_Node_Internal node) + lookup_first_message_for_key_back (Betree_List_Cons (k, + Betree_Message_Insert v) l); + Return (st1, (Some v, Betree_Node_Internal node)) | Betree_Message_Delete => _ <- - betree_Node_lookup_first_message_for_key_back n0 key msgs - (Betree_List_Cons (k, Betree_Message_Delete) l); - Return (Betree_Node_Internal node) + lookup_first_message_for_key_back (Betree_List_Cons (k, + Betree_Message_Delete) l); + Return (st1, (None, Betree_Node_Internal node)) | Betree_Message_Upsert ufs => - p1 <- betree_Internal_lookup_in_children n0 node key st0; - let (st1, v) := p1 in - p2 <- - betree_Node_apply_upserts n0 (Betree_List_Cons (k, - Betree_Message_Upsert ufs) l) v key st1; - let (st2, _) := p2 in - node0 <- betree_Internal_lookup_in_children_back n0 node key st0; - pending0 <- - betree_Node_apply_upserts_back n0 (Betree_List_Cons (k, - Betree_Message_Upsert ufs) l) v key st1; - msgs0 <- - betree_Node_lookup_first_message_for_key_back n0 key msgs - pending0; - _ <- - betree_store_internal_node node0.(betree_Internal_id) msgs0 st2; - Return (Betree_Node_Internal node0) + p3 <- betree_Internal_lookup_in_children n1 node key st1; + let (st2, p4) := p3 in + let (v, i) := p4 in + p5 <- + betree_Node_apply_upserts n1 (Betree_List_Cons (k, + Betree_Message_Upsert ufs) l) v key st2; + let (st3, p6) := p5 in + let (v1, l1) := p6 in + msgs1 <- lookup_first_message_for_key_back l1; + p7 <- betree_store_internal_node i.(betree_Internal_id) msgs1 st3; + let (st4, _) := p7 in + Return (st4, (Some v1, Betree_Node_Internal i)) end | Betree_List_Nil => - _ <- - betree_Node_lookup_first_message_for_key_back n0 key msgs - Betree_List_Nil; - node0 <- betree_Internal_lookup_in_children_back n0 node key st0; - Return (Betree_Node_Internal node0) + p2 <- betree_Internal_lookup_in_children n1 node key st1; + let (st2, p3) := p2 in + let (o, i) := p3 in + _ <- lookup_first_message_for_key_back Betree_List_Nil; + Return (st2, (o, Betree_Node_Internal i)) end | Betree_Node_Leaf node => p <- betree_load_leaf_node node.(betree_Leaf_id) st; - let (_, bindings) := p in - _ <- betree_Node_lookup_in_bindings n0 key bindings; - Return (Betree_Node_Leaf node) + let (st1, bindings) := p in + o <- betree_Node_lookup_in_bindings n1 key bindings; + Return (st1, (o, Betree_Node_Leaf node)) end end . -(** [betree_main::betree::{betree_main::betree::Node#5}::filter_messages_for_key]: merged forward/backward function - (there is a single backward function, and the forward function returns ()) +(** [betree_main::betree::{betree_main::betree::Node#5}::filter_messages_for_key]: Source: 'src/betree.rs', lines 674:4-674:77 *) Fixpoint betree_Node_filter_messages_for_key (n : nat) (key : u64) (msgs : betree_List_t (u64 * betree_Message_t)) : @@ -590,127 +408,112 @@ Fixpoint betree_Node_filter_messages_for_key := match n with | O => Fail_ OutOfFuel - | S n0 => + | S n1 => match msgs with | Betree_List_Cons p l => let (k, m) := p in if k s= key then ( - msgs0 <- - betree_List_pop_front_back (u64 * betree_Message_t) (Betree_List_Cons - (k, m) l); - betree_Node_filter_messages_for_key n0 key msgs0) + p1 <- + betree_List_pop_front (u64 * betree_Message_t) (Betree_List_Cons (k, + m) l); + let (_, l1) := p1 in + betree_Node_filter_messages_for_key n1 key l1) else Return (Betree_List_Cons (k, m) l) | Betree_List_Nil => Return Betree_List_Nil end end . -(** [betree_main::betree::{betree_main::betree::Node#5}::lookup_first_message_after_key]: forward function +(** [betree_main::betree::{betree_main::betree::Node#5}::lookup_first_message_after_key]: Source: 'src/betree.rs', lines 689:4-692:34 *) Fixpoint betree_Node_lookup_first_message_after_key (n : nat) (key : u64) (msgs : betree_List_t (u64 * betree_Message_t)) : - result (betree_List_t (u64 * betree_Message_t)) - := - match n with - | O => Fail_ OutOfFuel - | S n0 => - match msgs with - | Betree_List_Cons p next_msgs => - let (k, m) := p in - if k s= key - then betree_Node_lookup_first_message_after_key n0 key next_msgs - else Return (Betree_List_Cons (k, m) next_msgs) - | Betree_List_Nil => Return Betree_List_Nil - end - end -. - -(** [betree_main::betree::{betree_main::betree::Node#5}::lookup_first_message_after_key]: backward function 0 - Source: 'src/betree.rs', lines 689:4-692:34 *) -Fixpoint betree_Node_lookup_first_message_after_key_back - (n : nat) (key : u64) (msgs : betree_List_t (u64 * betree_Message_t)) - (ret : betree_List_t (u64 * betree_Message_t)) : - result (betree_List_t (u64 * betree_Message_t)) + result ((betree_List_t (u64 * betree_Message_t)) * (betree_List_t (u64 * + betree_Message_t) -> result (betree_List_t (u64 * betree_Message_t)))) := match n with | O => Fail_ OutOfFuel - | S n0 => + | S n1 => match msgs with | Betree_List_Cons p next_msgs => let (k, m) := p in if k s= key then ( - next_msgs0 <- - betree_Node_lookup_first_message_after_key_back n0 key next_msgs ret; - Return (Betree_List_Cons (k, m) next_msgs0)) - else Return ret - | Betree_List_Nil => Return ret + p1 <- betree_Node_lookup_first_message_after_key n1 key next_msgs; + let (l, lookup_first_message_after_key_back) := p1 in + let back_'a := + fun (ret : betree_List_t (u64 * betree_Message_t)) => + next_msgs1 <- lookup_first_message_after_key_back ret; + Return (Betree_List_Cons (k, m) next_msgs1) in + Return (l, back_'a)) + else Return (Betree_List_Cons (k, m) next_msgs, Return) + | Betree_List_Nil => Return (Betree_List_Nil, Return) end end . -(** [betree_main::betree::{betree_main::betree::Node#5}::apply_to_internal]: merged forward/backward function - (there is a single backward function, and the forward function returns ()) +(** [betree_main::betree::{betree_main::betree::Node#5}::apply_to_internal]: Source: 'src/betree.rs', lines 521:4-521:89 *) Definition betree_Node_apply_to_internal (n : nat) (msgs : betree_List_t (u64 * betree_Message_t)) (key : u64) (new_msg : betree_Message_t) : result (betree_List_t (u64 * betree_Message_t)) := - msgs0 <- betree_Node_lookup_first_message_for_key n key msgs; - b <- betree_ListTupleU64T_head_has_key betree_Message_t msgs0 key; + p <- betree_Node_lookup_first_message_for_key n key msgs; + let (msgs1, lookup_first_message_for_key_back) := p in + b <- betree_ListTupleU64T_head_has_key betree_Message_t msgs1 key; if b then match new_msg with | Betree_Message_Insert i => - msgs1 <- betree_Node_filter_messages_for_key n key msgs0; - msgs2 <- - betree_List_push_front (u64 * betree_Message_t) msgs1 (key, + l <- betree_Node_filter_messages_for_key n key msgs1; + l1 <- + betree_List_push_front (u64 * betree_Message_t) l (key, Betree_Message_Insert i); - betree_Node_lookup_first_message_for_key_back n key msgs msgs2 + lookup_first_message_for_key_back l1 | Betree_Message_Delete => - msgs1 <- betree_Node_filter_messages_for_key n key msgs0; - msgs2 <- - betree_List_push_front (u64 * betree_Message_t) msgs1 (key, + l <- betree_Node_filter_messages_for_key n key msgs1; + l1 <- + betree_List_push_front (u64 * betree_Message_t) l (key, Betree_Message_Delete); - betree_Node_lookup_first_message_for_key_back n key msgs msgs2 + lookup_first_message_for_key_back l1 | Betree_Message_Upsert s => - p <- betree_List_hd (u64 * betree_Message_t) msgs0; - let (_, m) := p in + p1 <- betree_List_hd (u64 * betree_Message_t) msgs1; + let (_, m) := p1 in match m with | Betree_Message_Insert prev => v <- betree_upsert_update (Some prev) s; - msgs1 <- betree_List_pop_front_back (u64 * betree_Message_t) msgs0; - msgs2 <- - betree_List_push_front (u64 * betree_Message_t) msgs1 (key, + p2 <- betree_List_pop_front (u64 * betree_Message_t) msgs1; + let (_, l) := p2 in + l1 <- + betree_List_push_front (u64 * betree_Message_t) l (key, Betree_Message_Insert v); - betree_Node_lookup_first_message_for_key_back n key msgs msgs2 + lookup_first_message_for_key_back l1 | Betree_Message_Delete => + p2 <- betree_List_pop_front (u64 * betree_Message_t) msgs1; + let (_, l) := p2 in v <- betree_upsert_update None s; - msgs1 <- betree_List_pop_front_back (u64 * betree_Message_t) msgs0; - msgs2 <- - betree_List_push_front (u64 * betree_Message_t) msgs1 (key, + l1 <- + betree_List_push_front (u64 * betree_Message_t) l (key, Betree_Message_Insert v); - betree_Node_lookup_first_message_for_key_back n key msgs msgs2 - | Betree_Message_Upsert ufs => - msgs1 <- betree_Node_lookup_first_message_after_key n key msgs0; - msgs2 <- - betree_List_push_front (u64 * betree_Message_t) msgs1 (key, + lookup_first_message_for_key_back l1 + | Betree_Message_Upsert _ => + p2 <- betree_Node_lookup_first_message_after_key n key msgs1; + let (msgs2, lookup_first_message_after_key_back) := p2 in + l <- + betree_List_push_front (u64 * betree_Message_t) msgs2 (key, Betree_Message_Upsert s); - msgs3 <- - betree_Node_lookup_first_message_after_key_back n key msgs0 msgs2; - betree_Node_lookup_first_message_for_key_back n key msgs msgs3 + msgs3 <- lookup_first_message_after_key_back l; + lookup_first_message_for_key_back msgs3 end end else ( - msgs1 <- - betree_List_push_front (u64 * betree_Message_t) msgs0 (key, new_msg); - betree_Node_lookup_first_message_for_key_back n key msgs msgs1) + l <- betree_List_push_front (u64 * betree_Message_t) msgs1 (key, new_msg); + lookup_first_message_for_key_back l) . -(** [betree_main::betree::{betree_main::betree::Node#5}::apply_messages_to_internal]: merged forward/backward function - (there is a single backward function, and the forward function returns ()) +(** [betree_main::betree::{betree_main::betree::Node#5}::apply_messages_to_internal]: Source: 'src/betree.rs', lines 502:4-505:5 *) Fixpoint betree_Node_apply_messages_to_internal (n : nat) (msgs : betree_List_t (u64 * betree_Message_t)) @@ -719,104 +522,84 @@ Fixpoint betree_Node_apply_messages_to_internal := match n with | O => Fail_ OutOfFuel - | S n0 => + | S n1 => match new_msgs with | Betree_List_Cons new_msg new_msgs_tl => let (i, m) := new_msg in - msgs0 <- betree_Node_apply_to_internal n0 msgs i m; - betree_Node_apply_messages_to_internal n0 msgs0 new_msgs_tl + l <- betree_Node_apply_to_internal n1 msgs i m; + betree_Node_apply_messages_to_internal n1 l new_msgs_tl | Betree_List_Nil => Return msgs end end . -(** [betree_main::betree::{betree_main::betree::Node#5}::lookup_mut_in_bindings]: forward function +(** [betree_main::betree::{betree_main::betree::Node#5}::lookup_mut_in_bindings]: Source: 'src/betree.rs', lines 653:4-656:32 *) Fixpoint betree_Node_lookup_mut_in_bindings (n : nat) (key : u64) (bindings : betree_List_t (u64 * u64)) : - result (betree_List_t (u64 * u64)) - := - match n with - | O => Fail_ OutOfFuel - | S n0 => - match bindings with - | Betree_List_Cons hd tl => - let (i, i0) := hd in - if i s>= key - then Return (Betree_List_Cons (i, i0) tl) - else betree_Node_lookup_mut_in_bindings n0 key tl - | Betree_List_Nil => Return Betree_List_Nil - end - end -. - -(** [betree_main::betree::{betree_main::betree::Node#5}::lookup_mut_in_bindings]: backward function 0 - Source: 'src/betree.rs', lines 653:4-656:32 *) -Fixpoint betree_Node_lookup_mut_in_bindings_back - (n : nat) (key : u64) (bindings : betree_List_t (u64 * u64)) - (ret : betree_List_t (u64 * u64)) : - result (betree_List_t (u64 * u64)) + result ((betree_List_t (u64 * u64)) * (betree_List_t (u64 * u64) -> result + (betree_List_t (u64 * u64)))) := match n with | O => Fail_ OutOfFuel - | S n0 => + | S n1 => match bindings with | Betree_List_Cons hd tl => - let (i, i0) := hd in + let (i, i1) := hd in if i s>= key - then Return ret + then Return (Betree_List_Cons (i, i1) tl, Return) else ( - tl0 <- betree_Node_lookup_mut_in_bindings_back n0 key tl ret; - Return (Betree_List_Cons (i, i0) tl0)) - | Betree_List_Nil => Return ret + p <- betree_Node_lookup_mut_in_bindings n1 key tl; + let (l, lookup_mut_in_bindings_back) := p in + let back_'a := + fun (ret : betree_List_t (u64 * u64)) => + tl1 <- lookup_mut_in_bindings_back ret; + Return (Betree_List_Cons (i, i1) tl1) in + Return (l, back_'a)) + | Betree_List_Nil => Return (Betree_List_Nil, Return) end end . -(** [betree_main::betree::{betree_main::betree::Node#5}::apply_to_leaf]: merged forward/backward function - (there is a single backward function, and the forward function returns ()) +(** [betree_main::betree::{betree_main::betree::Node#5}::apply_to_leaf]: Source: 'src/betree.rs', lines 460:4-460:87 *) Definition betree_Node_apply_to_leaf (n : nat) (bindings : betree_List_t (u64 * u64)) (key : u64) (new_msg : betree_Message_t) : result (betree_List_t (u64 * u64)) := - bindings0 <- betree_Node_lookup_mut_in_bindings n key bindings; - b <- betree_ListTupleU64T_head_has_key u64 bindings0 key; + p <- betree_Node_lookup_mut_in_bindings n key bindings; + let (bindings1, lookup_mut_in_bindings_back) := p in + b <- betree_ListTupleU64T_head_has_key u64 bindings1 key; if b then ( - hd <- betree_List_pop_front (u64 * u64) bindings0; + p1 <- betree_List_pop_front (u64 * u64) bindings1; + let (hd, l) := p1 in match new_msg with | Betree_Message_Insert v => - bindings1 <- betree_List_pop_front_back (u64 * u64) bindings0; - bindings2 <- betree_List_push_front (u64 * u64) bindings1 (key, v); - betree_Node_lookup_mut_in_bindings_back n key bindings bindings2 - | Betree_Message_Delete => - bindings1 <- betree_List_pop_front_back (u64 * u64) bindings0; - betree_Node_lookup_mut_in_bindings_back n key bindings bindings1 + l1 <- betree_List_push_front (u64 * u64) l (key, v); + lookup_mut_in_bindings_back l1 + | Betree_Message_Delete => lookup_mut_in_bindings_back l | Betree_Message_Upsert s => let (_, i) := hd in v <- betree_upsert_update (Some i) s; - bindings1 <- betree_List_pop_front_back (u64 * u64) bindings0; - bindings2 <- betree_List_push_front (u64 * u64) bindings1 (key, v); - betree_Node_lookup_mut_in_bindings_back n key bindings bindings2 + l1 <- betree_List_push_front (u64 * u64) l (key, v); + lookup_mut_in_bindings_back l1 end) else match new_msg with | Betree_Message_Insert v => - bindings1 <- betree_List_push_front (u64 * u64) bindings0 (key, v); - betree_Node_lookup_mut_in_bindings_back n key bindings bindings1 - | Betree_Message_Delete => - betree_Node_lookup_mut_in_bindings_back n key bindings bindings0 + l <- betree_List_push_front (u64 * u64) bindings1 (key, v); + lookup_mut_in_bindings_back l + | Betree_Message_Delete => lookup_mut_in_bindings_back bindings1 | Betree_Message_Upsert s => v <- betree_upsert_update None s; - bindings1 <- betree_List_push_front (u64 * u64) bindings0 (key, v); - betree_Node_lookup_mut_in_bindings_back n key bindings bindings1 + l <- betree_List_push_front (u64 * u64) bindings1 (key, v); + lookup_mut_in_bindings_back l end . -(** [betree_main::betree::{betree_main::betree::Node#5}::apply_messages_to_leaf]: merged forward/backward function - (there is a single backward function, and the forward function returns ()) +(** [betree_main::betree::{betree_main::betree::Node#5}::apply_messages_to_leaf]: Source: 'src/betree.rs', lines 444:4-447:5 *) Fixpoint betree_Node_apply_messages_to_leaf (n : nat) (bindings : betree_List_t (u64 * u64)) @@ -825,404 +608,229 @@ Fixpoint betree_Node_apply_messages_to_leaf := match n with | O => Fail_ OutOfFuel - | S n0 => + | S n1 => match new_msgs with | Betree_List_Cons new_msg new_msgs_tl => let (i, m) := new_msg in - bindings0 <- betree_Node_apply_to_leaf n0 bindings i m; - betree_Node_apply_messages_to_leaf n0 bindings0 new_msgs_tl + l <- betree_Node_apply_to_leaf n1 bindings i m; + betree_Node_apply_messages_to_leaf n1 l new_msgs_tl | Betree_List_Nil => Return bindings end end . -(** [betree_main::betree::{betree_main::betree::Internal#4}::flush]: forward function +(** [betree_main::betree::{betree_main::betree::Internal#4}::flush]: Source: 'src/betree.rs', lines 410:4-415:26 *) Fixpoint betree_Internal_flush (n : nat) (self : betree_Internal_t) (params : betree_Params_t) (node_id_cnt : betree_NodeIdCounter_t) (content : betree_List_t (u64 * betree_Message_t)) (st : state) : - result (state * (betree_List_t (u64 * betree_Message_t))) - := - match n with - | O => Fail_ OutOfFuel - | S n0 => - p <- - betree_ListTupleU64T_partition_at_pivot betree_Message_t n0 content - self.(betree_Internal_pivot); - let (msgs_left, msgs_right) := p in - len_left <- betree_List_len (u64 * betree_Message_t) n0 msgs_left; - if len_left s>= params.(betree_Params_min_flush_size) - then ( - p0 <- - betree_Node_apply_messages n0 self.(betree_Internal_left) params - node_id_cnt msgs_left st; - let (st0, _) := p0 in - p1 <- - betree_Node_apply_messages_back n0 self.(betree_Internal_left) params - node_id_cnt msgs_left st; - let (_, node_id_cnt0) := p1 in - len_right <- betree_List_len (u64 * betree_Message_t) n0 msgs_right; - if len_right s>= params.(betree_Params_min_flush_size) - then ( - p2 <- - betree_Node_apply_messages n0 self.(betree_Internal_right) params - node_id_cnt0 msgs_right st0; - let (st1, _) := p2 in - _ <- - betree_Node_apply_messages_back n0 self.(betree_Internal_right) - params node_id_cnt0 msgs_right st0; - Return (st1, Betree_List_Nil)) - else Return (st0, msgs_right)) - else ( - p0 <- - betree_Node_apply_messages n0 self.(betree_Internal_right) params - node_id_cnt msgs_right st; - let (st0, _) := p0 in - _ <- - betree_Node_apply_messages_back n0 self.(betree_Internal_right) params - node_id_cnt msgs_right st; - Return (st0, msgs_left)) - end - -(** [betree_main::betree::{betree_main::betree::Internal#4}::flush]: backward function 0 - Source: 'src/betree.rs', lines 410:4-415:26 *) -with betree_Internal_flush_back - (n : nat) (self : betree_Internal_t) (params : betree_Params_t) - (node_id_cnt : betree_NodeIdCounter_t) - (content : betree_List_t (u64 * betree_Message_t)) (st : state) : - result (betree_Internal_t * betree_NodeIdCounter_t) + result (state * ((betree_List_t (u64 * betree_Message_t)) * + (betree_Internal_t * betree_NodeIdCounter_t))) := match n with | O => Fail_ OutOfFuel - | S n0 => + | S n1 => p <- - betree_ListTupleU64T_partition_at_pivot betree_Message_t n0 content + betree_ListTupleU64T_partition_at_pivot betree_Message_t n1 content self.(betree_Internal_pivot); let (msgs_left, msgs_right) := p in - len_left <- betree_List_len (u64 * betree_Message_t) n0 msgs_left; + len_left <- betree_List_len (u64 * betree_Message_t) n1 msgs_left; if len_left s>= params.(betree_Params_min_flush_size) then ( - p0 <- - betree_Node_apply_messages n0 self.(betree_Internal_left) params - node_id_cnt msgs_left st; - let (st0, _) := p0 in p1 <- - betree_Node_apply_messages_back n0 self.(betree_Internal_left) params + betree_Node_apply_messages n1 self.(betree_Internal_left) params node_id_cnt msgs_left st; - let (n1, node_id_cnt0) := p1 in - len_right <- betree_List_len (u64 * betree_Message_t) n0 msgs_right; + let (st1, p2) := p1 in + let (n2, node_id_cnt1) := p2 in + len_right <- betree_List_len (u64 * betree_Message_t) n1 msgs_right; if len_right s>= params.(betree_Params_min_flush_size) then ( - p2 <- - betree_Node_apply_messages_back n0 self.(betree_Internal_right) - params node_id_cnt0 msgs_right st0; - let (n2, node_id_cnt1) := p2 in - Return (mkbetree_Internal_t self.(betree_Internal_id) - self.(betree_Internal_pivot) n1 n2, node_id_cnt1)) + p3 <- + betree_Node_apply_messages n1 self.(betree_Internal_right) params + node_id_cnt1 msgs_right st1; + let (st2, p4) := p3 in + let (n3, node_id_cnt2) := p4 in + Return (st2, (Betree_List_Nil, (mkbetree_Internal_t + self.(betree_Internal_id) self.(betree_Internal_pivot) n2 n3, + node_id_cnt2)))) else - Return (mkbetree_Internal_t self.(betree_Internal_id) - self.(betree_Internal_pivot) n1 self.(betree_Internal_right), - node_id_cnt0)) + Return (st1, (msgs_right, (mkbetree_Internal_t + self.(betree_Internal_id) self.(betree_Internal_pivot) n2 + self.(betree_Internal_right), node_id_cnt1)))) else ( - p0 <- - betree_Node_apply_messages_back n0 self.(betree_Internal_right) params + p1 <- + betree_Node_apply_messages n1 self.(betree_Internal_right) params node_id_cnt msgs_right st; - let (n1, node_id_cnt0) := p0 in - Return (mkbetree_Internal_t self.(betree_Internal_id) - self.(betree_Internal_pivot) self.(betree_Internal_left) n1, - node_id_cnt0)) + let (st1, p2) := p1 in + let (n2, node_id_cnt1) := p2 in + Return (st1, (msgs_left, (mkbetree_Internal_t self.(betree_Internal_id) + self.(betree_Internal_pivot) self.(betree_Internal_left) n2, + node_id_cnt1)))) end -(** [betree_main::betree::{betree_main::betree::Node#5}::apply_messages]: forward function +(** [betree_main::betree::{betree_main::betree::Node#5}::apply_messages]: Source: 'src/betree.rs', lines 588:4-593:5 *) with betree_Node_apply_messages (n : nat) (self : betree_Node_t) (params : betree_Params_t) (node_id_cnt : betree_NodeIdCounter_t) (msgs : betree_List_t (u64 * betree_Message_t)) (st : state) : - result (state * unit) + result (state * (betree_Node_t * betree_NodeIdCounter_t)) := match n with | O => Fail_ OutOfFuel - | S n0 => + | S n1 => match self with | Betree_Node_Internal node => p <- betree_load_internal_node node.(betree_Internal_id) st; - let (st0, content) := p in - content0 <- betree_Node_apply_messages_to_internal n0 content msgs; - num_msgs <- betree_List_len (u64 * betree_Message_t) n0 content0; + let (st1, content) := p in + l <- betree_Node_apply_messages_to_internal n1 content msgs; + num_msgs <- betree_List_len (u64 * betree_Message_t) n1 l; if num_msgs s>= params.(betree_Params_min_flush_size) then ( - p0 <- betree_Internal_flush n0 node params node_id_cnt content0 st0; - let (st1, content1) := p0 in - p1 <- - betree_Internal_flush_back n0 node params node_id_cnt content0 st0; - let (node0, _) := p1 in - p2 <- - betree_store_internal_node node0.(betree_Internal_id) content1 st1; - let (st2, _) := p2 in - Return (st2, tt)) + p1 <- betree_Internal_flush n1 node params node_id_cnt l st1; + let (st2, p2) := p1 in + let (content1, p3) := p2 in + let (node1, node_id_cnt1) := p3 in + p4 <- + betree_store_internal_node node1.(betree_Internal_id) content1 st2; + let (st3, _) := p4 in + Return (st3, (Betree_Node_Internal node1, node_id_cnt1))) else ( - p0 <- - betree_store_internal_node node.(betree_Internal_id) content0 st0; - let (st1, _) := p0 in - Return (st1, tt)) - | Betree_Node_Leaf node => - p <- betree_load_leaf_node node.(betree_Leaf_id) st; - let (st0, content) := p in - content0 <- betree_Node_apply_messages_to_leaf n0 content msgs; - len <- betree_List_len (u64 * u64) n0 content0; - i <- u64_mul 2%u64 params.(betree_Params_split_size); - if len s>= i - then ( - p0 <- betree_Leaf_split n0 node content0 params node_id_cnt st0; - let (st1, _) := p0 in - p1 <- betree_store_leaf_node node.(betree_Leaf_id) Betree_List_Nil st1; + p1 <- betree_store_internal_node node.(betree_Internal_id) l st1; let (st2, _) := p1 in - Return (st2, tt)) - else ( - p0 <- betree_store_leaf_node node.(betree_Leaf_id) content0 st0; - let (st1, _) := p0 in - Return (st1, tt)) - end - end - -(** [betree_main::betree::{betree_main::betree::Node#5}::apply_messages]: backward function 0 - Source: 'src/betree.rs', lines 588:4-593:5 *) -with betree_Node_apply_messages_back - (n : nat) (self : betree_Node_t) (params : betree_Params_t) - (node_id_cnt : betree_NodeIdCounter_t) - (msgs : betree_List_t (u64 * betree_Message_t)) (st : state) : - result (betree_Node_t * betree_NodeIdCounter_t) - := - match n with - | O => Fail_ OutOfFuel - | S n0 => - match self with - | Betree_Node_Internal node => - p <- betree_load_internal_node node.(betree_Internal_id) st; - let (st0, content) := p in - content0 <- betree_Node_apply_messages_to_internal n0 content msgs; - num_msgs <- betree_List_len (u64 * betree_Message_t) n0 content0; - if num_msgs s>= params.(betree_Params_min_flush_size) - then ( - p0 <- betree_Internal_flush n0 node params node_id_cnt content0 st0; - let (st1, content1) := p0 in - p1 <- - betree_Internal_flush_back n0 node params node_id_cnt content0 st0; - let (node0, node_id_cnt0) := p1 in - _ <- - betree_store_internal_node node0.(betree_Internal_id) content1 st1; - Return (Betree_Node_Internal node0, node_id_cnt0)) - else ( - _ <- betree_store_internal_node node.(betree_Internal_id) content0 st0; - Return (Betree_Node_Internal node, node_id_cnt)) + Return (st2, (Betree_Node_Internal node, node_id_cnt))) | Betree_Node_Leaf node => p <- betree_load_leaf_node node.(betree_Leaf_id) st; - let (st0, content) := p in - content0 <- betree_Node_apply_messages_to_leaf n0 content msgs; - len <- betree_List_len (u64 * u64) n0 content0; + let (st1, content) := p in + l <- betree_Node_apply_messages_to_leaf n1 content msgs; + len <- betree_List_len (u64 * u64) n1 l; i <- u64_mul 2%u64 params.(betree_Params_split_size); if len s>= i then ( - p0 <- betree_Leaf_split n0 node content0 params node_id_cnt st0; - let (st1, new_node) := p0 in - _ <- betree_store_leaf_node node.(betree_Leaf_id) Betree_List_Nil st1; - node_id_cnt0 <- - betree_Leaf_split_back n0 node content0 params node_id_cnt st0; - Return (Betree_Node_Internal new_node, node_id_cnt0)) + p1 <- betree_Leaf_split n1 node l params node_id_cnt st1; + let (st2, p2) := p1 in + let (new_node, nic) := p2 in + p3 <- betree_store_leaf_node node.(betree_Leaf_id) Betree_List_Nil st2; + let (st3, _) := p3 in + Return (st3, (Betree_Node_Internal new_node, nic))) else ( - _ <- betree_store_leaf_node node.(betree_Leaf_id) content0 st0; - Return (Betree_Node_Leaf + p1 <- betree_store_leaf_node node.(betree_Leaf_id) l st1; + let (st2, _) := p1 in + Return (st2, (Betree_Node_Leaf {| betree_Leaf_id := node.(betree_Leaf_id); betree_Leaf_size := len - |}, node_id_cnt)) + |}, node_id_cnt))) end end . -(** [betree_main::betree::{betree_main::betree::Node#5}::apply]: forward function +(** [betree_main::betree::{betree_main::betree::Node#5}::apply]: Source: 'src/betree.rs', lines 576:4-582:5 *) Definition betree_Node_apply (n : nat) (self : betree_Node_t) (params : betree_Params_t) (node_id_cnt : betree_NodeIdCounter_t) (key : u64) (new_msg : betree_Message_t) (st : state) : - result (state * unit) + result (state * (betree_Node_t * betree_NodeIdCounter_t)) := - let l := Betree_List_Nil in p <- betree_Node_apply_messages n self params node_id_cnt (Betree_List_Cons - (key, new_msg) l) st; - let (st0, _) := p in - _ <- - betree_Node_apply_messages_back n self params node_id_cnt (Betree_List_Cons - (key, new_msg) l) st; - Return (st0, tt) + (key, new_msg) Betree_List_Nil) st; + let (st1, p1) := p in + let (self1, node_id_cnt1) := p1 in + Return (st1, (self1, node_id_cnt1)) . -(** [betree_main::betree::{betree_main::betree::Node#5}::apply]: backward function 0 - Source: 'src/betree.rs', lines 576:4-582:5 *) -Definition betree_Node_apply_back - (n : nat) (self : betree_Node_t) (params : betree_Params_t) - (node_id_cnt : betree_NodeIdCounter_t) (key : u64) - (new_msg : betree_Message_t) (st : state) : - result (betree_Node_t * betree_NodeIdCounter_t) - := - let l := Betree_List_Nil in - betree_Node_apply_messages_back n self params node_id_cnt (Betree_List_Cons - (key, new_msg) l) st -. - -(** [betree_main::betree::{betree_main::betree::BeTree#6}::new]: forward function +(** [betree_main::betree::{betree_main::betree::BeTree#6}::new]: Source: 'src/betree.rs', lines 849:4-849:60 *) Definition betree_BeTree_new (min_flush_size : u64) (split_size : u64) (st : state) : result (state * betree_BeTree_t) := node_id_cnt <- betree_NodeIdCounter_new; - id <- betree_NodeIdCounter_fresh_id node_id_cnt; - p <- betree_store_leaf_node id Betree_List_Nil st; - let (st0, _) := p in - node_id_cnt0 <- betree_NodeIdCounter_fresh_id_back node_id_cnt; - Return (st0, + p <- betree_NodeIdCounter_fresh_id node_id_cnt; + let (id, nic) := p in + p1 <- betree_store_leaf_node id Betree_List_Nil st; + let (st1, _) := p1 in + Return (st1, {| betree_BeTree_params := {| betree_Params_min_flush_size := min_flush_size; betree_Params_split_size := split_size |}; - betree_BeTree_node_id_cnt := node_id_cnt0; + betree_BeTree_node_id_cnt := nic; betree_BeTree_root := (Betree_Node_Leaf {| betree_Leaf_id := id; betree_Leaf_size := 0%u64 |}) |}) . -(** [betree_main::betree::{betree_main::betree::BeTree#6}::apply]: forward function +(** [betree_main::betree::{betree_main::betree::BeTree#6}::apply]: Source: 'src/betree.rs', lines 868:4-868:47 *) Definition betree_BeTree_apply (n : nat) (self : betree_BeTree_t) (key : u64) (msg : betree_Message_t) (st : state) : - result (state * unit) + result (state * betree_BeTree_t) := p <- betree_Node_apply n self.(betree_BeTree_root) self.(betree_BeTree_params) self.(betree_BeTree_node_id_cnt) key msg st; - let (st0, _) := p in - _ <- - betree_Node_apply_back n self.(betree_BeTree_root) - self.(betree_BeTree_params) self.(betree_BeTree_node_id_cnt) key msg st; - Return (st0, tt) -. - -(** [betree_main::betree::{betree_main::betree::BeTree#6}::apply]: backward function 0 - Source: 'src/betree.rs', lines 868:4-868:47 *) -Definition betree_BeTree_apply_back - (n : nat) (self : betree_BeTree_t) (key : u64) (msg : betree_Message_t) - (st : state) : - result betree_BeTree_t - := - p <- - betree_Node_apply_back n self.(betree_BeTree_root) - self.(betree_BeTree_params) self.(betree_BeTree_node_id_cnt) key msg st; - let (n0, nic) := p in - Return + let (st1, p1) := p in + let (n1, nic) := p1 in + Return (st1, {| betree_BeTree_params := self.(betree_BeTree_params); betree_BeTree_node_id_cnt := nic; - betree_BeTree_root := n0 - |} + betree_BeTree_root := n1 + |}) . -(** [betree_main::betree::{betree_main::betree::BeTree#6}::insert]: forward function +(** [betree_main::betree::{betree_main::betree::BeTree#6}::insert]: Source: 'src/betree.rs', lines 874:4-874:52 *) Definition betree_BeTree_insert (n : nat) (self : betree_BeTree_t) (key : u64) (value : u64) (st : state) : - result (state * unit) - := - p <- betree_BeTree_apply n self key (Betree_Message_Insert value) st; - let (st0, _) := p in - _ <- betree_BeTree_apply_back n self key (Betree_Message_Insert value) st; - Return (st0, tt) -. - -(** [betree_main::betree::{betree_main::betree::BeTree#6}::insert]: backward function 0 - Source: 'src/betree.rs', lines 874:4-874:52 *) -Definition betree_BeTree_insert_back - (n : nat) (self : betree_BeTree_t) (key : u64) (value : u64) (st : state) : - result betree_BeTree_t + result (state * betree_BeTree_t) := - betree_BeTree_apply_back n self key (Betree_Message_Insert value) st + betree_BeTree_apply n self key (Betree_Message_Insert value) st . -(** [betree_main::betree::{betree_main::betree::BeTree#6}::delete]: forward function +(** [betree_main::betree::{betree_main::betree::BeTree#6}::delete]: Source: 'src/betree.rs', lines 880:4-880:38 *) Definition betree_BeTree_delete (n : nat) (self : betree_BeTree_t) (key : u64) (st : state) : - result (state * unit) - := - p <- betree_BeTree_apply n self key Betree_Message_Delete st; - let (st0, _) := p in - _ <- betree_BeTree_apply_back n self key Betree_Message_Delete st; - Return (st0, tt) -. - -(** [betree_main::betree::{betree_main::betree::BeTree#6}::delete]: backward function 0 - Source: 'src/betree.rs', lines 880:4-880:38 *) -Definition betree_BeTree_delete_back - (n : nat) (self : betree_BeTree_t) (key : u64) (st : state) : - result betree_BeTree_t + result (state * betree_BeTree_t) := - betree_BeTree_apply_back n self key Betree_Message_Delete st + betree_BeTree_apply n self key Betree_Message_Delete st . -(** [betree_main::betree::{betree_main::betree::BeTree#6}::upsert]: forward function +(** [betree_main::betree::{betree_main::betree::BeTree#6}::upsert]: Source: 'src/betree.rs', lines 886:4-886:59 *) Definition betree_BeTree_upsert (n : nat) (self : betree_BeTree_t) (key : u64) (upd : betree_UpsertFunState_t) (st : state) : - result (state * unit) - := - p <- betree_BeTree_apply n self key (Betree_Message_Upsert upd) st; - let (st0, _) := p in - _ <- betree_BeTree_apply_back n self key (Betree_Message_Upsert upd) st; - Return (st0, tt) -. - -(** [betree_main::betree::{betree_main::betree::BeTree#6}::upsert]: backward function 0 - Source: 'src/betree.rs', lines 886:4-886:59 *) -Definition betree_BeTree_upsert_back - (n : nat) (self : betree_BeTree_t) (key : u64) - (upd : betree_UpsertFunState_t) (st : state) : - result betree_BeTree_t + result (state * betree_BeTree_t) := - betree_BeTree_apply_back n self key (Betree_Message_Upsert upd) st + betree_BeTree_apply n self key (Betree_Message_Upsert upd) st . -(** [betree_main::betree::{betree_main::betree::BeTree#6}::lookup]: forward function +(** [betree_main::betree::{betree_main::betree::BeTree#6}::lookup]: Source: 'src/betree.rs', lines 895:4-895:62 *) Definition betree_BeTree_lookup (n : nat) (self : betree_BeTree_t) (key : u64) (st : state) : - result (state * (option u64)) - := - betree_Node_lookup n self.(betree_BeTree_root) key st -. - -(** [betree_main::betree::{betree_main::betree::BeTree#6}::lookup]: backward function 0 - Source: 'src/betree.rs', lines 895:4-895:62 *) -Definition betree_BeTree_lookup_back - (n : nat) (self : betree_BeTree_t) (key : u64) (st : state) : - result betree_BeTree_t + result (state * ((option u64) * betree_BeTree_t)) := - n0 <- betree_Node_lookup_back n self.(betree_BeTree_root) key st; - Return + p <- betree_Node_lookup n self.(betree_BeTree_root) key st; + let (st1, p1) := p in + let (o, n1) := p1 in + Return (st1, (o, {| betree_BeTree_params := self.(betree_BeTree_params); betree_BeTree_node_id_cnt := self.(betree_BeTree_node_id_cnt); - betree_BeTree_root := n0 - |} + betree_BeTree_root := n1 + |})) . -(** [betree_main::main]: forward function +(** [betree_main::main]: Source: 'src/betree_main.rs', lines 5:0-5:9 *) Definition main : result unit := Return tt. diff --git a/tests/coq/betree/BetreeMain_FunsExternal_Template.v b/tests/coq/betree/BetreeMain_FunsExternal_Template.v index 36022a20..a9969448 100644 --- a/tests/coq/betree/BetreeMain_FunsExternal_Template.v +++ b/tests/coq/betree/BetreeMain_FunsExternal_Template.v @@ -11,13 +11,13 @@ Require Import BetreeMain_Types. Include BetreeMain_Types. Module BetreeMain_FunsExternal_Template. -(** [betree_main::betree_utils::load_internal_node]: forward function +(** [betree_main::betree_utils::load_internal_node]: Source: 'src/betree_utils.rs', lines 98:0-98:63 *) Axiom betree_utils_load_internal_node : u64 -> state -> result (state * (betree_List_t (u64 * betree_Message_t))) . -(** [betree_main::betree_utils::store_internal_node]: forward function +(** [betree_main::betree_utils::store_internal_node]: Source: 'src/betree_utils.rs', lines 115:0-115:71 *) Axiom betree_utils_store_internal_node : @@ -25,19 +25,19 @@ Axiom betree_utils_store_internal_node unit) . -(** [betree_main::betree_utils::load_leaf_node]: forward function +(** [betree_main::betree_utils::load_leaf_node]: Source: 'src/betree_utils.rs', lines 132:0-132:55 *) Axiom betree_utils_load_leaf_node : u64 -> state -> result (state * (betree_List_t (u64 * u64))) . -(** [betree_main::betree_utils::store_leaf_node]: forward function +(** [betree_main::betree_utils::store_leaf_node]: Source: 'src/betree_utils.rs', lines 145:0-145:63 *) Axiom betree_utils_store_leaf_node : u64 -> betree_List_t (u64 * u64) -> state -> result (state * unit) . -(** [core::option::{core::option::Option<T>}::unwrap]: forward function +(** [core::option::{core::option::Option<T>}::unwrap]: Source: '/rustc/d59363ad0b6391b7fc5bbb02c9ccf9300eef3753/library/core/src/option.rs', lines 932:4-932:34 *) Axiom core_option_Option_unwrap : forall(T : Type), option T -> state -> result (state * T) diff --git a/tests/coq/betree/BetreeMain_Types.v b/tests/coq/betree/BetreeMain_Types.v index 22989256..acbc2085 100644 --- a/tests/coq/betree/BetreeMain_Types.v +++ b/tests/coq/betree/BetreeMain_Types.v @@ -61,31 +61,31 @@ with betree_Node_t := . Definition betree_Internal_id (x : betree_Internal_t) := - match x with | mkbetree_Internal_t x0 _ _ _ => x0 end + match x with | mkbetree_Internal_t x1 _ _ _ => x1 end . -Notation "x1 .(betree_Internal_id)" := (betree_Internal_id x1) (at level 9). +Notation "x2 .(betree_Internal_id)" := (betree_Internal_id x2) (at level 9). Definition betree_Internal_pivot (x : betree_Internal_t) := - match x with | mkbetree_Internal_t _ x0 _ _ => x0 end + match x with | mkbetree_Internal_t _ x1 _ _ => x1 end . -Notation "x1 .(betree_Internal_pivot)" := (betree_Internal_pivot x1) +Notation "x2 .(betree_Internal_pivot)" := (betree_Internal_pivot x2) (at level 9) . Definition betree_Internal_left (x : betree_Internal_t) := - match x with | mkbetree_Internal_t _ _ x0 _ => x0 end + match x with | mkbetree_Internal_t _ _ x1 _ => x1 end . -Notation "x1 .(betree_Internal_left)" := (betree_Internal_left x1) (at level 9) +Notation "x2 .(betree_Internal_left)" := (betree_Internal_left x2) (at level 9) . Definition betree_Internal_right (x : betree_Internal_t) := - match x with | mkbetree_Internal_t _ _ _ x0 => x0 end + match x with | mkbetree_Internal_t _ _ _ x1 => x1 end . -Notation "x1 .(betree_Internal_right)" := (betree_Internal_right x1) +Notation "x2 .(betree_Internal_right)" := (betree_Internal_right x2) (at level 9) . diff --git a/tests/coq/betree/Primitives.v b/tests/coq/betree/Primitives.v index 84280b96..990e27e4 100644 --- a/tests/coq/betree/Primitives.v +++ b/tests/coq/betree/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. diff --git a/tests/coq/hashmap/Hashmap_Funs.v b/tests/coq/hashmap/Hashmap_Funs.v index 64de44a6..0478edbe 100644 --- a/tests/coq/hashmap/Hashmap_Funs.v +++ b/tests/coq/hashmap/Hashmap_Funs.v @@ -10,66 +10,64 @@ Require Import Hashmap_Types. Include Hashmap_Types. Module Hashmap_Funs. -(** [hashmap::hash_key]: forward function +(** [hashmap::hash_key]: Source: 'src/hashmap.rs', lines 27:0-27:32 *) Definition hash_key (k : usize) : result usize := Return k. -(** [hashmap::{hashmap::HashMap<T>}::allocate_slots]: loop 0: forward function +(** [hashmap::{hashmap::HashMap<T>}::allocate_slots]: loop 0: Source: 'src/hashmap.rs', lines 50:4-56:5 *) Fixpoint hashMap_allocate_slots_loop - (T : Type) (n : nat) (slots : alloc_vec_Vec (List_t T)) (n0 : usize) : + (T : Type) (n : nat) (slots : alloc_vec_Vec (List_t T)) (n1 : usize) : result (alloc_vec_Vec (List_t T)) := match n with | O => Fail_ OutOfFuel - | S n1 => - if n0 s> 0%usize + | S n2 => + if n1 s> 0%usize then ( - slots0 <- alloc_vec_Vec_push (List_t T) slots List_Nil; - n2 <- usize_sub n0 1%usize; - hashMap_allocate_slots_loop T n1 slots0 n2) + v <- alloc_vec_Vec_push (List_t T) slots List_Nil; + n3 <- usize_sub n1 1%usize; + hashMap_allocate_slots_loop T n2 v n3) else Return slots end . -(** [hashmap::{hashmap::HashMap<T>}::allocate_slots]: forward function +(** [hashmap::{hashmap::HashMap<T>}::allocate_slots]: Source: 'src/hashmap.rs', lines 50:4-50:76 *) Definition hashMap_allocate_slots - (T : Type) (n : nat) (slots : alloc_vec_Vec (List_t T)) (n0 : usize) : + (T : Type) (n : nat) (slots : alloc_vec_Vec (List_t T)) (n1 : usize) : result (alloc_vec_Vec (List_t T)) := - hashMap_allocate_slots_loop T n slots n0 + hashMap_allocate_slots_loop T n slots n1 . -(** [hashmap::{hashmap::HashMap<T>}::new_with_capacity]: forward function +(** [hashmap::{hashmap::HashMap<T>}::new_with_capacity]: Source: 'src/hashmap.rs', lines 59:4-63:13 *) Definition hashMap_new_with_capacity (T : Type) (n : nat) (capacity : usize) (max_load_dividend : usize) (max_load_divisor : usize) : result (HashMap_t T) := - let v := alloc_vec_Vec_new (List_t T) in - slots <- hashMap_allocate_slots T n v capacity; + slots <- hashMap_allocate_slots T n (alloc_vec_Vec_new (List_t T)) capacity; i <- usize_mul capacity max_load_dividend; - i0 <- usize_div i max_load_divisor; + i1 <- usize_div i max_load_divisor; Return {| hashMap_num_entries := 0%usize; hashMap_max_load_factor := (max_load_dividend, max_load_divisor); - hashMap_max_load := i0; + hashMap_max_load := i1; hashMap_slots := slots |} . -(** [hashmap::{hashmap::HashMap<T>}::new]: forward function +(** [hashmap::{hashmap::HashMap<T>}::new]: Source: 'src/hashmap.rs', lines 75:4-75:24 *) Definition hashMap_new (T : Type) (n : nat) : result (HashMap_t T) := hashMap_new_with_capacity T n 32%usize 4%usize 5%usize . -(** [hashmap::{hashmap::HashMap<T>}::clear]: loop 0: merged forward/backward function - (there is a single backward function, and the forward function returns ()) +(** [hashmap::{hashmap::HashMap<T>}::clear]: loop 0: Source: 'src/hashmap.rs', lines 80:4-88:5 *) Fixpoint hashMap_clear_loop (T : Type) (n : nat) (slots : alloc_vec_Vec (List_t T)) (i : usize) : @@ -77,101 +75,73 @@ Fixpoint hashMap_clear_loop := match n with | O => Fail_ OutOfFuel - | S n0 => - let i0 := alloc_vec_Vec_len (List_t T) slots in - if i s< i0 + | S n1 => + let i1 := alloc_vec_Vec_len (List_t T) slots in + if i s< i1 then ( - i1 <- usize_add i 1%usize; - slots0 <- - alloc_vec_Vec_index_mut_back (List_t T) usize - (core_slice_index_SliceIndexUsizeSliceTInst (List_t T)) slots i - List_Nil; - hashMap_clear_loop T n0 slots0 i1) + p <- + alloc_vec_Vec_index_mut (List_t T) usize + (core_slice_index_SliceIndexUsizeSliceTInst (List_t T)) slots i; + let (_, index_mut_back) := p in + i2 <- usize_add i 1%usize; + slots1 <- index_mut_back List_Nil; + hashMap_clear_loop T n1 slots1 i2) else Return slots end . -(** [hashmap::{hashmap::HashMap<T>}::clear]: merged forward/backward function - (there is a single backward function, and the forward function returns ()) +(** [hashmap::{hashmap::HashMap<T>}::clear]: Source: 'src/hashmap.rs', lines 80:4-80:27 *) Definition hashMap_clear (T : Type) (n : nat) (self : HashMap_t T) : result (HashMap_t T) := - v <- hashMap_clear_loop T n self.(hashMap_slots) 0%usize; + back <- hashMap_clear_loop T n self.(hashMap_slots) 0%usize; Return {| hashMap_num_entries := 0%usize; hashMap_max_load_factor := self.(hashMap_max_load_factor); hashMap_max_load := self.(hashMap_max_load); - hashMap_slots := v + hashMap_slots := back |} . -(** [hashmap::{hashmap::HashMap<T>}::len]: forward function +(** [hashmap::{hashmap::HashMap<T>}::len]: Source: 'src/hashmap.rs', lines 90:4-90:30 *) Definition hashMap_len (T : Type) (self : HashMap_t T) : result usize := Return self.(hashMap_num_entries) . -(** [hashmap::{hashmap::HashMap<T>}::insert_in_list]: loop 0: forward function +(** [hashmap::{hashmap::HashMap<T>}::insert_in_list]: loop 0: Source: 'src/hashmap.rs', lines 97:4-114:5 *) Fixpoint hashMap_insert_in_list_loop (T : Type) (n : nat) (key : usize) (value : T) (ls : List_t T) : - result bool + result (bool * (List_t T)) := match n with | O => Fail_ OutOfFuel - | S n0 => + | S n1 => match ls with | List_Cons ckey cvalue tl => if ckey s= key - then Return false - else hashMap_insert_in_list_loop T n0 key value tl - | List_Nil => Return true + then Return (false, List_Cons ckey value tl) + else ( + p <- hashMap_insert_in_list_loop T n1 key value tl; + let (b, back) := p in + Return (b, List_Cons ckey cvalue back)) + | List_Nil => Return (true, List_Cons key value List_Nil) end end . -(** [hashmap::{hashmap::HashMap<T>}::insert_in_list]: forward function +(** [hashmap::{hashmap::HashMap<T>}::insert_in_list]: Source: 'src/hashmap.rs', lines 97:4-97:71 *) Definition hashMap_insert_in_list (T : Type) (n : nat) (key : usize) (value : T) (ls : List_t T) : - result bool + result (bool * (List_t T)) := hashMap_insert_in_list_loop T n key value ls . -(** [hashmap::{hashmap::HashMap<T>}::insert_in_list]: loop 0: backward function 0 - Source: 'src/hashmap.rs', lines 97:4-114:5 *) -Fixpoint hashMap_insert_in_list_loop_back - (T : Type) (n : nat) (key : usize) (value : T) (ls : List_t T) : - result (List_t T) - := - match n with - | O => Fail_ OutOfFuel - | S n0 => - match ls with - | List_Cons ckey cvalue tl => - if ckey s= key - then Return (List_Cons ckey value tl) - else ( - tl0 <- hashMap_insert_in_list_loop_back T n0 key value tl; - Return (List_Cons ckey cvalue tl0)) - | List_Nil => let l := List_Nil in Return (List_Cons key value l) - end - end -. - -(** [hashmap::{hashmap::HashMap<T>}::insert_in_list]: backward function 0 - Source: 'src/hashmap.rs', lines 97:4-97:71 *) -Definition hashMap_insert_in_list_back - (T : Type) (n : nat) (key : usize) (value : T) (ls : List_t T) : - result (List_t T) - := - hashMap_insert_in_list_loop_back T n key value ls -. - -(** [hashmap::{hashmap::HashMap<T>}::insert_no_resize]: merged forward/backward function - (there is a single backward function, and the forward function returns ()) +(** [hashmap::{hashmap::HashMap<T>}::insert_no_resize]: Source: 'src/hashmap.rs', lines 117:4-117:54 *) Definition hashMap_insert_no_resize (T : Type) (n : nat) (self : HashMap_t T) (key : usize) (value : T) : @@ -180,32 +150,26 @@ Definition hashMap_insert_no_resize hash <- hash_key key; let i := alloc_vec_Vec_len (List_t T) self.(hashMap_slots) in hash_mod <- usize_rem hash i; - l <- + p <- alloc_vec_Vec_index_mut (List_t T) usize (core_slice_index_SliceIndexUsizeSliceTInst (List_t T)) self.(hashMap_slots) hash_mod; - inserted <- hashMap_insert_in_list T n key value l; + let (l, index_mut_back) := p in + p1 <- hashMap_insert_in_list T n key value l; + let (inserted, l1) := p1 in if inserted then ( - i0 <- usize_add self.(hashMap_num_entries) 1%usize; - l0 <- hashMap_insert_in_list_back T n key value l; - v <- - alloc_vec_Vec_index_mut_back (List_t T) usize - (core_slice_index_SliceIndexUsizeSliceTInst (List_t T)) - self.(hashMap_slots) hash_mod l0; + i1 <- usize_add self.(hashMap_num_entries) 1%usize; + v <- index_mut_back l1; Return {| - hashMap_num_entries := i0; + hashMap_num_entries := i1; hashMap_max_load_factor := self.(hashMap_max_load_factor); hashMap_max_load := self.(hashMap_max_load); hashMap_slots := v |}) else ( - l0 <- hashMap_insert_in_list_back T n key value l; - v <- - alloc_vec_Vec_index_mut_back (List_t T) usize - (core_slice_index_SliceIndexUsizeSliceTInst (List_t T)) - self.(hashMap_slots) hash_mod l0; + v <- index_mut_back l1; Return {| hashMap_num_entries := self.(hashMap_num_entries); @@ -215,8 +179,7 @@ Definition hashMap_insert_no_resize |}) . -(** [hashmap::{hashmap::HashMap<T>}::move_elements_from_list]: loop 0: merged forward/backward function - (there is a single backward function, and the forward function returns ()) +(** [hashmap::{hashmap::HashMap<T>}::move_elements_from_list]: loop 0: Source: 'src/hashmap.rs', lines 183:4-196:5 *) Fixpoint hashMap_move_elements_from_list_loop (T : Type) (n : nat) (ntable : HashMap_t T) (ls : List_t T) : @@ -224,18 +187,17 @@ Fixpoint hashMap_move_elements_from_list_loop := match n with | O => Fail_ OutOfFuel - | S n0 => + | S n1 => match ls with | List_Cons k v tl => - ntable0 <- hashMap_insert_no_resize T n0 ntable k v; - hashMap_move_elements_from_list_loop T n0 ntable0 tl + hm <- hashMap_insert_no_resize T n1 ntable k v; + hashMap_move_elements_from_list_loop T n1 hm tl | List_Nil => Return ntable end end . -(** [hashmap::{hashmap::HashMap<T>}::move_elements_from_list]: merged forward/backward function - (there is a single backward function, and the forward function returns ()) +(** [hashmap::{hashmap::HashMap<T>}::move_elements_from_list]: Source: 'src/hashmap.rs', lines 183:4-183:72 *) Definition hashMap_move_elements_from_list (T : Type) (n : nat) (ntable : HashMap_t T) (ls : List_t T) : @@ -244,8 +206,7 @@ Definition hashMap_move_elements_from_list hashMap_move_elements_from_list_loop T n ntable ls . -(** [hashmap::{hashmap::HashMap<T>}::move_elements]: loop 0: merged forward/backward function - (there is a single backward function, and the forward function returns ()) +(** [hashmap::{hashmap::HashMap<T>}::move_elements]: loop 0: Source: 'src/hashmap.rs', lines 171:4-180:5 *) Fixpoint hashMap_move_elements_loop (T : Type) (n : nat) (ntable : HashMap_t T) @@ -254,108 +215,105 @@ Fixpoint hashMap_move_elements_loop := match n with | O => Fail_ OutOfFuel - | S n0 => - let i0 := alloc_vec_Vec_len (List_t T) slots in - if i s< i0 + | S n1 => + let i1 := alloc_vec_Vec_len (List_t T) slots in + if i s< i1 then ( - l <- + p <- alloc_vec_Vec_index_mut (List_t T) usize (core_slice_index_SliceIndexUsizeSliceTInst (List_t T)) slots i; - let ls := core_mem_replace (List_t T) l List_Nil in - ntable0 <- hashMap_move_elements_from_list T n0 ntable ls; - i1 <- usize_add i 1%usize; - let l0 := core_mem_replace_back (List_t T) l List_Nil in - slots0 <- - alloc_vec_Vec_index_mut_back (List_t T) usize - (core_slice_index_SliceIndexUsizeSliceTInst (List_t T)) slots i l0; - hashMap_move_elements_loop T n0 ntable0 slots0 i1) + let (l, index_mut_back) := p in + let (ls, l1) := core_mem_replace (List_t T) l List_Nil in + hm <- hashMap_move_elements_from_list T n1 ntable ls; + i2 <- usize_add i 1%usize; + slots1 <- index_mut_back l1; + back_'a <- hashMap_move_elements_loop T n1 hm slots1 i2; + let (hm1, v) := back_'a in + Return (hm1, v)) else Return (ntable, slots) end . -(** [hashmap::{hashmap::HashMap<T>}::move_elements]: merged forward/backward function - (there is a single backward function, and the forward function returns ()) +(** [hashmap::{hashmap::HashMap<T>}::move_elements]: Source: 'src/hashmap.rs', lines 171:4-171:95 *) Definition hashMap_move_elements (T : Type) (n : nat) (ntable : HashMap_t T) (slots : alloc_vec_Vec (List_t T)) (i : usize) : result ((HashMap_t T) * (alloc_vec_Vec (List_t T))) := - hashMap_move_elements_loop T n ntable slots i + back_'a <- hashMap_move_elements_loop T n ntable slots i; + let (hm, v) := back_'a in + Return (hm, v) . -(** [hashmap::{hashmap::HashMap<T>}::try_resize]: merged forward/backward function - (there is a single backward function, and the forward function returns ()) +(** [hashmap::{hashmap::HashMap<T>}::try_resize]: Source: 'src/hashmap.rs', lines 140:4-140:28 *) Definition hashMap_try_resize (T : Type) (n : nat) (self : HashMap_t T) : result (HashMap_t T) := max_usize <- scalar_cast U32 Usize core_u32_max; let capacity := alloc_vec_Vec_len (List_t T) self.(hashMap_slots) in n1 <- usize_div max_usize 2%usize; - let (i, i0) := self.(hashMap_max_load_factor) in - i1 <- usize_div n1 i; - if capacity s<= i1 + let (i, i1) := self.(hashMap_max_load_factor) in + i2 <- usize_div n1 i; + if capacity s<= i2 then ( - i2 <- usize_mul capacity 2%usize; - ntable <- hashMap_new_with_capacity T n i2 i i0; + i3 <- usize_mul capacity 2%usize; + ntable <- hashMap_new_with_capacity T n i3 i i1; p <- hashMap_move_elements T n ntable self.(hashMap_slots) 0%usize; - let (ntable0, _) := p in + let (ntable1, _) := p in Return {| hashMap_num_entries := self.(hashMap_num_entries); - hashMap_max_load_factor := (i, i0); - hashMap_max_load := ntable0.(hashMap_max_load); - hashMap_slots := ntable0.(hashMap_slots) + hashMap_max_load_factor := (i, i1); + hashMap_max_load := ntable1.(hashMap_max_load); + hashMap_slots := ntable1.(hashMap_slots) |}) else Return {| hashMap_num_entries := self.(hashMap_num_entries); - hashMap_max_load_factor := (i, i0); + hashMap_max_load_factor := (i, i1); hashMap_max_load := self.(hashMap_max_load); hashMap_slots := self.(hashMap_slots) |} . -(** [hashmap::{hashmap::HashMap<T>}::insert]: merged forward/backward function - (there is a single backward function, and the forward function returns ()) +(** [hashmap::{hashmap::HashMap<T>}::insert]: Source: 'src/hashmap.rs', lines 129:4-129:48 *) Definition hashMap_insert (T : Type) (n : nat) (self : HashMap_t T) (key : usize) (value : T) : result (HashMap_t T) := - self0 <- hashMap_insert_no_resize T n self key value; - i <- hashMap_len T self0; - if i s> self0.(hashMap_max_load) - then hashMap_try_resize T n self0 - else Return self0 + hm <- hashMap_insert_no_resize T n self key value; + i <- hashMap_len T hm; + if i s> hm.(hashMap_max_load) then hashMap_try_resize T n hm else Return hm . -(** [hashmap::{hashmap::HashMap<T>}::contains_key_in_list]: loop 0: forward function +(** [hashmap::{hashmap::HashMap<T>}::contains_key_in_list]: loop 0: Source: 'src/hashmap.rs', lines 206:4-219:5 *) Fixpoint hashMap_contains_key_in_list_loop (T : Type) (n : nat) (key : usize) (ls : List_t T) : result bool := match n with | O => Fail_ OutOfFuel - | S n0 => + | S n1 => match ls with - | List_Cons ckey t tl => + | List_Cons ckey _ tl => if ckey s= key then Return true - else hashMap_contains_key_in_list_loop T n0 key tl + else hashMap_contains_key_in_list_loop T n1 key tl | List_Nil => Return false end end . -(** [hashmap::{hashmap::HashMap<T>}::contains_key_in_list]: forward function +(** [hashmap::{hashmap::HashMap<T>}::contains_key_in_list]: Source: 'src/hashmap.rs', lines 206:4-206:68 *) Definition hashMap_contains_key_in_list (T : Type) (n : nat) (key : usize) (ls : List_t T) : result bool := hashMap_contains_key_in_list_loop T n key ls . -(** [hashmap::{hashmap::HashMap<T>}::contains_key]: forward function +(** [hashmap::{hashmap::HashMap<T>}::contains_key]: Source: 'src/hashmap.rs', lines 199:4-199:49 *) Definition hashMap_contains_key (T : Type) (n : nat) (self : HashMap_t T) (key : usize) : result bool := @@ -369,31 +327,31 @@ Definition hashMap_contains_key hashMap_contains_key_in_list T n key l . -(** [hashmap::{hashmap::HashMap<T>}::get_in_list]: loop 0: forward function +(** [hashmap::{hashmap::HashMap<T>}::get_in_list]: loop 0: Source: 'src/hashmap.rs', lines 224:4-237:5 *) Fixpoint hashMap_get_in_list_loop (T : Type) (n : nat) (key : usize) (ls : List_t T) : result T := match n with | O => Fail_ OutOfFuel - | S n0 => + | S n1 => match ls with | List_Cons ckey cvalue tl => if ckey s= key then Return cvalue - else hashMap_get_in_list_loop T n0 key tl + else hashMap_get_in_list_loop T n1 key tl | List_Nil => Fail_ Failure end end . -(** [hashmap::{hashmap::HashMap<T>}::get_in_list]: forward function +(** [hashmap::{hashmap::HashMap<T>}::get_in_list]: Source: 'src/hashmap.rs', lines 224:4-224:70 *) Definition hashMap_get_in_list (T : Type) (n : nat) (key : usize) (ls : List_t T) : result T := hashMap_get_in_list_loop T n key ls . -(** [hashmap::{hashmap::HashMap<T>}::get]: forward function +(** [hashmap::{hashmap::HashMap<T>}::get]: Source: 'src/hashmap.rs', lines 239:4-239:55 *) Definition hashMap_get (T : Type) (n : nat) (self : HashMap_t T) (key : usize) : result T := @@ -407,264 +365,187 @@ Definition hashMap_get hashMap_get_in_list T n key l . -(** [hashmap::{hashmap::HashMap<T>}::get_mut_in_list]: loop 0: forward function +(** [hashmap::{hashmap::HashMap<T>}::get_mut_in_list]: loop 0: Source: 'src/hashmap.rs', lines 245:4-254:5 *) Fixpoint hashMap_get_mut_in_list_loop - (T : Type) (n : nat) (ls : List_t T) (key : usize) : result T := - match n with - | O => Fail_ OutOfFuel - | S n0 => - match ls with - | List_Cons ckey cvalue tl => - if ckey s= key - then Return cvalue - else hashMap_get_mut_in_list_loop T n0 tl key - | List_Nil => Fail_ Failure - end - end -. - -(** [hashmap::{hashmap::HashMap<T>}::get_mut_in_list]: forward function - Source: 'src/hashmap.rs', lines 245:4-245:86 *) -Definition hashMap_get_mut_in_list - (T : Type) (n : nat) (ls : List_t T) (key : usize) : result T := - hashMap_get_mut_in_list_loop T n ls key -. - -(** [hashmap::{hashmap::HashMap<T>}::get_mut_in_list]: loop 0: backward function 0 - Source: 'src/hashmap.rs', lines 245:4-254:5 *) -Fixpoint hashMap_get_mut_in_list_loop_back - (T : Type) (n : nat) (ls : List_t T) (key : usize) (ret : T) : - result (List_t T) + (T : Type) (n : nat) (ls : List_t T) (key : usize) : + result (T * (T -> result (List_t T))) := match n with | O => Fail_ OutOfFuel - | S n0 => + | S n1 => match ls with | List_Cons ckey cvalue tl => if ckey s= key - then Return (List_Cons ckey ret tl) + then + let back_'a := fun (ret : T) => Return (List_Cons ckey ret tl) in + Return (cvalue, back_'a) else ( - tl0 <- hashMap_get_mut_in_list_loop_back T n0 tl key ret; - Return (List_Cons ckey cvalue tl0)) + p <- hashMap_get_mut_in_list_loop T n1 tl key; + let (t, back_'a) := p in + let back_'a1 := + fun (ret : T) => + tl1 <- back_'a ret; Return (List_Cons ckey cvalue tl1) in + Return (t, back_'a1)) | List_Nil => Fail_ Failure end end . -(** [hashmap::{hashmap::HashMap<T>}::get_mut_in_list]: backward function 0 +(** [hashmap::{hashmap::HashMap<T>}::get_mut_in_list]: Source: 'src/hashmap.rs', lines 245:4-245:86 *) -Definition hashMap_get_mut_in_list_back - (T : Type) (n : nat) (ls : List_t T) (key : usize) (ret : T) : - result (List_t T) +Definition hashMap_get_mut_in_list + (T : Type) (n : nat) (ls : List_t T) (key : usize) : + result (T * (T -> result (List_t T))) := - hashMap_get_mut_in_list_loop_back T n ls key ret + p <- hashMap_get_mut_in_list_loop T n ls key; + let (t, back_'a) := p in + Return (t, back_'a) . -(** [hashmap::{hashmap::HashMap<T>}::get_mut]: forward function +(** [hashmap::{hashmap::HashMap<T>}::get_mut]: Source: 'src/hashmap.rs', lines 257:4-257:67 *) Definition hashMap_get_mut - (T : Type) (n : nat) (self : HashMap_t T) (key : usize) : result T := - hash <- hash_key key; - let i := alloc_vec_Vec_len (List_t T) self.(hashMap_slots) in - hash_mod <- usize_rem hash i; - l <- - alloc_vec_Vec_index_mut (List_t T) usize - (core_slice_index_SliceIndexUsizeSliceTInst (List_t T)) - self.(hashMap_slots) hash_mod; - hashMap_get_mut_in_list T n l key -. - -(** [hashmap::{hashmap::HashMap<T>}::get_mut]: backward function 0 - Source: 'src/hashmap.rs', lines 257:4-257:67 *) -Definition hashMap_get_mut_back - (T : Type) (n : nat) (self : HashMap_t T) (key : usize) (ret : T) : - result (HashMap_t T) + (T : Type) (n : nat) (self : HashMap_t T) (key : usize) : + result (T * (T -> result (HashMap_t T))) := hash <- hash_key key; let i := alloc_vec_Vec_len (List_t T) self.(hashMap_slots) in hash_mod <- usize_rem hash i; - l <- + p <- alloc_vec_Vec_index_mut (List_t T) usize (core_slice_index_SliceIndexUsizeSliceTInst (List_t T)) self.(hashMap_slots) hash_mod; - l0 <- hashMap_get_mut_in_list_back T n l key ret; - v <- - alloc_vec_Vec_index_mut_back (List_t T) usize - (core_slice_index_SliceIndexUsizeSliceTInst (List_t T)) - self.(hashMap_slots) hash_mod l0; - Return - {| - hashMap_num_entries := self.(hashMap_num_entries); - hashMap_max_load_factor := self.(hashMap_max_load_factor); - hashMap_max_load := self.(hashMap_max_load); - hashMap_slots := v - |} -. - -(** [hashmap::{hashmap::HashMap<T>}::remove_from_list]: loop 0: forward function + let (l, index_mut_back) := p in + p1 <- hashMap_get_mut_in_list T n l key; + let (t, get_mut_in_list_back) := p1 in + let back_'a := + fun (ret : T) => + l1 <- get_mut_in_list_back ret; + v <- index_mut_back l1; + Return + {| + hashMap_num_entries := self.(hashMap_num_entries); + hashMap_max_load_factor := self.(hashMap_max_load_factor); + hashMap_max_load := self.(hashMap_max_load); + hashMap_slots := v + |} in + Return (t, back_'a) +. + +(** [hashmap::{hashmap::HashMap<T>}::remove_from_list]: loop 0: Source: 'src/hashmap.rs', lines 265:4-291:5 *) Fixpoint hashMap_remove_from_list_loop - (T : Type) (n : nat) (key : usize) (ls : List_t T) : result (option T) := + (T : Type) (n : nat) (key : usize) (ls : List_t T) : + result ((option T) * (List_t T)) + := match n with | O => Fail_ OutOfFuel - | S n0 => + | S n1 => match ls with | List_Cons ckey t tl => if ckey s= key then - let mv_ls := core_mem_replace (List_t T) (List_Cons ckey t tl) List_Nil - in + let (mv_ls, _) := + core_mem_replace (List_t T) (List_Cons ckey t tl) List_Nil in match mv_ls with - | List_Cons i cvalue tl0 => Return (Some cvalue) + | List_Cons _ cvalue tl1 => Return (Some cvalue, tl1) | List_Nil => Fail_ Failure end - else hashMap_remove_from_list_loop T n0 key tl - | List_Nil => Return None + else ( + p <- hashMap_remove_from_list_loop T n1 key tl; + let (o, back) := p in + Return (o, List_Cons ckey t back)) + | List_Nil => Return (None, List_Nil) end end . -(** [hashmap::{hashmap::HashMap<T>}::remove_from_list]: forward function +(** [hashmap::{hashmap::HashMap<T>}::remove_from_list]: Source: 'src/hashmap.rs', lines 265:4-265:69 *) Definition hashMap_remove_from_list - (T : Type) (n : nat) (key : usize) (ls : List_t T) : result (option T) := + (T : Type) (n : nat) (key : usize) (ls : List_t T) : + result ((option T) * (List_t T)) + := hashMap_remove_from_list_loop T n key ls . -(** [hashmap::{hashmap::HashMap<T>}::remove_from_list]: loop 0: backward function 1 - Source: 'src/hashmap.rs', lines 265:4-291:5 *) -Fixpoint hashMap_remove_from_list_loop_back - (T : Type) (n : nat) (key : usize) (ls : List_t T) : result (List_t T) := - match n with - | O => Fail_ OutOfFuel - | S n0 => - match ls with - | List_Cons ckey t tl => - if ckey s= key - then - let mv_ls := core_mem_replace (List_t T) (List_Cons ckey t tl) List_Nil - in - match mv_ls with - | List_Cons i cvalue tl0 => Return tl0 - | List_Nil => Fail_ Failure - end - else ( - tl0 <- hashMap_remove_from_list_loop_back T n0 key tl; - Return (List_Cons ckey t tl0)) - | List_Nil => Return List_Nil - end - end -. - -(** [hashmap::{hashmap::HashMap<T>}::remove_from_list]: backward function 1 - Source: 'src/hashmap.rs', lines 265:4-265:69 *) -Definition hashMap_remove_from_list_back - (T : Type) (n : nat) (key : usize) (ls : List_t T) : result (List_t T) := - hashMap_remove_from_list_loop_back T n key ls -. - -(** [hashmap::{hashmap::HashMap<T>}::remove]: forward function +(** [hashmap::{hashmap::HashMap<T>}::remove]: Source: 'src/hashmap.rs', lines 294:4-294:52 *) Definition hashMap_remove (T : Type) (n : nat) (self : HashMap_t T) (key : usize) : - result (option T) - := - hash <- hash_key key; - let i := alloc_vec_Vec_len (List_t T) self.(hashMap_slots) in - hash_mod <- usize_rem hash i; - l <- - alloc_vec_Vec_index_mut (List_t T) usize - (core_slice_index_SliceIndexUsizeSliceTInst (List_t T)) - self.(hashMap_slots) hash_mod; - x <- hashMap_remove_from_list T n key l; - match x with - | None => Return None - | Some x0 => - _ <- usize_sub self.(hashMap_num_entries) 1%usize; Return (Some x0) - end -. - -(** [hashmap::{hashmap::HashMap<T>}::remove]: backward function 0 - Source: 'src/hashmap.rs', lines 294:4-294:52 *) -Definition hashMap_remove_back - (T : Type) (n : nat) (self : HashMap_t T) (key : usize) : - result (HashMap_t T) + result ((option T) * (HashMap_t T)) := hash <- hash_key key; let i := alloc_vec_Vec_len (List_t T) self.(hashMap_slots) in hash_mod <- usize_rem hash i; - l <- + p <- alloc_vec_Vec_index_mut (List_t T) usize (core_slice_index_SliceIndexUsizeSliceTInst (List_t T)) self.(hashMap_slots) hash_mod; - x <- hashMap_remove_from_list T n key l; + let (l, index_mut_back) := p in + p1 <- hashMap_remove_from_list T n key l; + let (x, l1) := p1 in match x with | None => - l0 <- hashMap_remove_from_list_back T n key l; - v <- - alloc_vec_Vec_index_mut_back (List_t T) usize - (core_slice_index_SliceIndexUsizeSliceTInst (List_t T)) - self.(hashMap_slots) hash_mod l0; - Return + v <- index_mut_back l1; + Return (None, {| hashMap_num_entries := self.(hashMap_num_entries); hashMap_max_load_factor := self.(hashMap_max_load_factor); hashMap_max_load := self.(hashMap_max_load); hashMap_slots := v - |} - | Some x0 => - i0 <- usize_sub self.(hashMap_num_entries) 1%usize; - l0 <- hashMap_remove_from_list_back T n key l; - v <- - alloc_vec_Vec_index_mut_back (List_t T) usize - (core_slice_index_SliceIndexUsizeSliceTInst (List_t T)) - self.(hashMap_slots) hash_mod l0; - Return + |}) + | Some x1 => + i1 <- usize_sub self.(hashMap_num_entries) 1%usize; + v <- index_mut_back l1; + Return (Some x1, {| - hashMap_num_entries := i0; + hashMap_num_entries := i1; hashMap_max_load_factor := self.(hashMap_max_load_factor); hashMap_max_load := self.(hashMap_max_load); hashMap_slots := v - |} + |}) end . -(** [hashmap::test1]: forward function +(** [hashmap::test1]: Source: 'src/hashmap.rs', lines 315:0-315:10 *) Definition test1 (n : nat) : result unit := hm <- hashMap_new u64 n; - hm0 <- hashMap_insert u64 n hm 0%usize 42%u64; - hm1 <- hashMap_insert u64 n hm0 128%usize 18%u64; - hm2 <- hashMap_insert u64 n hm1 1024%usize 138%u64; - hm3 <- hashMap_insert u64 n hm2 1056%usize 256%u64; - i <- hashMap_get u64 n hm3 128%usize; + hm1 <- hashMap_insert u64 n hm 0%usize 42%u64; + hm2 <- hashMap_insert u64 n hm1 128%usize 18%u64; + hm3 <- hashMap_insert u64 n hm2 1024%usize 138%u64; + hm4 <- hashMap_insert u64 n hm3 1056%usize 256%u64; + i <- hashMap_get u64 n hm4 128%usize; if negb (i s= 18%u64) then Fail_ Failure else ( - hm4 <- hashMap_get_mut_back u64 n hm3 1024%usize 56%u64; - i0 <- hashMap_get u64 n hm4 1024%usize; - if negb (i0 s= 56%u64) + p <- hashMap_get_mut u64 n hm4 1024%usize; + let (_, get_mut_back) := p in + hm5 <- get_mut_back 56%u64; + i1 <- hashMap_get u64 n hm5 1024%usize; + if negb (i1 s= 56%u64) then Fail_ Failure else ( - x <- hashMap_remove u64 n hm4 1024%usize; + p1 <- hashMap_remove u64 n hm5 1024%usize; + let (x, hm6) := p1 in match x with | None => Fail_ Failure - | Some x0 => - if negb (x0 s= 56%u64) + | Some x1 => + if negb (x1 s= 56%u64) then Fail_ Failure else ( - hm5 <- hashMap_remove_back u64 n hm4 1024%usize; - i1 <- hashMap_get u64 n hm5 0%usize; - if negb (i1 s= 42%u64) + i2 <- hashMap_get u64 n hm6 0%usize; + if negb (i2 s= 42%u64) then Fail_ Failure else ( - i2 <- hashMap_get u64 n hm5 128%usize; - if negb (i2 s= 18%u64) + i3 <- hashMap_get u64 n hm6 128%usize; + if negb (i3 s= 18%u64) then Fail_ Failure else ( - i3 <- hashMap_get u64 n hm5 1056%usize; - if negb (i3 s= 256%u64) then Fail_ Failure else Return tt))) + i4 <- hashMap_get u64 n hm6 1056%usize; + if negb (i4 s= 256%u64) then Fail_ Failure else Return tt))) end)) . diff --git a/tests/coq/hashmap/Primitives.v b/tests/coq/hashmap/Primitives.v index 84280b96..990e27e4 100644 --- a/tests/coq/hashmap/Primitives.v +++ b/tests/coq/hashmap/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. diff --git a/tests/coq/hashmap_on_disk/HashmapMain_Funs.v b/tests/coq/hashmap_on_disk/HashmapMain_Funs.v index faba0afe..6a7eeb2d 100644 --- a/tests/coq/hashmap_on_disk/HashmapMain_Funs.v +++ b/tests/coq/hashmap_on_disk/HashmapMain_Funs.v @@ -12,69 +12,69 @@ Require Import HashmapMain_FunsExternal. Include HashmapMain_FunsExternal. Module HashmapMain_Funs. -(** [hashmap_main::hashmap::hash_key]: forward function +(** [hashmap_main::hashmap::hash_key]: Source: 'src/hashmap.rs', lines 27:0-27:32 *) Definition hashmap_hash_key (k : usize) : result usize := Return k. -(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::allocate_slots]: loop 0: forward function +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::allocate_slots]: loop 0: Source: 'src/hashmap.rs', lines 50:4-56:5 *) Fixpoint hashmap_HashMap_allocate_slots_loop - (T : Type) (n : nat) (slots : alloc_vec_Vec (hashmap_List_t T)) (n0 : usize) + (T : Type) (n : nat) (slots : alloc_vec_Vec (hashmap_List_t T)) (n1 : usize) : result (alloc_vec_Vec (hashmap_List_t T)) := match n with | O => Fail_ OutOfFuel - | S n1 => - if n0 s> 0%usize + | S n2 => + if n1 s> 0%usize then ( - slots0 <- alloc_vec_Vec_push (hashmap_List_t T) slots Hashmap_List_Nil; - n2 <- usize_sub n0 1%usize; - hashmap_HashMap_allocate_slots_loop T n1 slots0 n2) + v <- alloc_vec_Vec_push (hashmap_List_t T) slots Hashmap_List_Nil; + n3 <- usize_sub n1 1%usize; + hashmap_HashMap_allocate_slots_loop T n2 v n3) else Return slots end . -(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::allocate_slots]: forward function +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::allocate_slots]: Source: 'src/hashmap.rs', lines 50:4-50:76 *) Definition hashmap_HashMap_allocate_slots - (T : Type) (n : nat) (slots : alloc_vec_Vec (hashmap_List_t T)) (n0 : usize) + (T : Type) (n : nat) (slots : alloc_vec_Vec (hashmap_List_t T)) (n1 : usize) : result (alloc_vec_Vec (hashmap_List_t T)) := - hashmap_HashMap_allocate_slots_loop T n slots n0 + hashmap_HashMap_allocate_slots_loop T n slots n1 . -(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::new_with_capacity]: forward function +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::new_with_capacity]: Source: 'src/hashmap.rs', lines 59:4-63:13 *) Definition hashmap_HashMap_new_with_capacity (T : Type) (n : nat) (capacity : usize) (max_load_dividend : usize) (max_load_divisor : usize) : result (hashmap_HashMap_t T) := - let v := alloc_vec_Vec_new (hashmap_List_t T) in - slots <- hashmap_HashMap_allocate_slots T n v capacity; + slots <- + hashmap_HashMap_allocate_slots T n (alloc_vec_Vec_new (hashmap_List_t T)) + capacity; i <- usize_mul capacity max_load_dividend; - i0 <- usize_div i max_load_divisor; + i1 <- usize_div i max_load_divisor; Return {| hashmap_HashMap_num_entries := 0%usize; hashmap_HashMap_max_load_factor := (max_load_dividend, max_load_divisor); - hashmap_HashMap_max_load := i0; + hashmap_HashMap_max_load := i1; hashmap_HashMap_slots := slots |} . -(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::new]: forward function +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::new]: Source: 'src/hashmap.rs', lines 75:4-75:24 *) Definition hashmap_HashMap_new (T : Type) (n : nat) : result (hashmap_HashMap_t T) := hashmap_HashMap_new_with_capacity T n 32%usize 4%usize 5%usize . -(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::clear]: loop 0: merged forward/backward function - (there is a single backward function, and the forward function returns ()) +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::clear]: loop 0: Source: 'src/hashmap.rs', lines 80:4-88:5 *) Fixpoint hashmap_HashMap_clear_loop (T : Type) (n : nat) (slots : alloc_vec_Vec (hashmap_List_t T)) (i : usize) : @@ -82,105 +82,78 @@ Fixpoint hashmap_HashMap_clear_loop := match n with | O => Fail_ OutOfFuel - | S n0 => - let i0 := alloc_vec_Vec_len (hashmap_List_t T) slots in - if i s< i0 + | S n1 => + let i1 := alloc_vec_Vec_len (hashmap_List_t T) slots in + if i s< i1 then ( - i1 <- usize_add i 1%usize; - slots0 <- - alloc_vec_Vec_index_mut_back (hashmap_List_t T) usize + p <- + alloc_vec_Vec_index_mut (hashmap_List_t T) usize (core_slice_index_SliceIndexUsizeSliceTInst (hashmap_List_t T)) slots - i Hashmap_List_Nil; - hashmap_HashMap_clear_loop T n0 slots0 i1) + i; + let (_, index_mut_back) := p in + i2 <- usize_add i 1%usize; + slots1 <- index_mut_back Hashmap_List_Nil; + hashmap_HashMap_clear_loop T n1 slots1 i2) else Return slots end . -(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::clear]: merged forward/backward function - (there is a single backward function, and the forward function returns ()) +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::clear]: Source: 'src/hashmap.rs', lines 80:4-80:27 *) Definition hashmap_HashMap_clear (T : Type) (n : nat) (self : hashmap_HashMap_t T) : result (hashmap_HashMap_t T) := - v <- hashmap_HashMap_clear_loop T n self.(hashmap_HashMap_slots) 0%usize; + back <- hashmap_HashMap_clear_loop T n self.(hashmap_HashMap_slots) 0%usize; Return {| hashmap_HashMap_num_entries := 0%usize; hashmap_HashMap_max_load_factor := self.(hashmap_HashMap_max_load_factor); hashmap_HashMap_max_load := self.(hashmap_HashMap_max_load); - hashmap_HashMap_slots := v + hashmap_HashMap_slots := back |} . -(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::len]: forward function +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::len]: Source: 'src/hashmap.rs', lines 90:4-90:30 *) Definition hashmap_HashMap_len (T : Type) (self : hashmap_HashMap_t T) : result usize := Return self.(hashmap_HashMap_num_entries) . -(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::insert_in_list]: loop 0: forward function +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::insert_in_list]: loop 0: Source: 'src/hashmap.rs', lines 97:4-114:5 *) Fixpoint hashmap_HashMap_insert_in_list_loop (T : Type) (n : nat) (key : usize) (value : T) (ls : hashmap_List_t T) : - result bool + result (bool * (hashmap_List_t T)) := match n with | O => Fail_ OutOfFuel - | S n0 => - match ls with - | Hashmap_List_Cons ckey cvalue tl => - if ckey s= key - then Return false - else hashmap_HashMap_insert_in_list_loop T n0 key value tl - | Hashmap_List_Nil => Return true - end - end -. - -(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::insert_in_list]: forward function - Source: 'src/hashmap.rs', lines 97:4-97:71 *) -Definition hashmap_HashMap_insert_in_list - (T : Type) (n : nat) (key : usize) (value : T) (ls : hashmap_List_t T) : - result bool - := - hashmap_HashMap_insert_in_list_loop T n key value ls -. - -(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::insert_in_list]: loop 0: backward function 0 - Source: 'src/hashmap.rs', lines 97:4-114:5 *) -Fixpoint hashmap_HashMap_insert_in_list_loop_back - (T : Type) (n : nat) (key : usize) (value : T) (ls : hashmap_List_t T) : - result (hashmap_List_t T) - := - match n with - | O => Fail_ OutOfFuel - | S n0 => + | S n1 => match ls with | Hashmap_List_Cons ckey cvalue tl => if ckey s= key - then Return (Hashmap_List_Cons ckey value tl) + then Return (false, Hashmap_List_Cons ckey value tl) else ( - tl0 <- hashmap_HashMap_insert_in_list_loop_back T n0 key value tl; - Return (Hashmap_List_Cons ckey cvalue tl0)) + p <- hashmap_HashMap_insert_in_list_loop T n1 key value tl; + let (b, back) := p in + Return (b, Hashmap_List_Cons ckey cvalue back)) | Hashmap_List_Nil => - let l := Hashmap_List_Nil in Return (Hashmap_List_Cons key value l) + Return (true, Hashmap_List_Cons key value Hashmap_List_Nil) end end . -(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::insert_in_list]: backward function 0 +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::insert_in_list]: Source: 'src/hashmap.rs', lines 97:4-97:71 *) -Definition hashmap_HashMap_insert_in_list_back +Definition hashmap_HashMap_insert_in_list (T : Type) (n : nat) (key : usize) (value : T) (ls : hashmap_List_t T) : - result (hashmap_List_t T) + result (bool * (hashmap_List_t T)) := - hashmap_HashMap_insert_in_list_loop_back T n key value ls + hashmap_HashMap_insert_in_list_loop T n key value ls . -(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::insert_no_resize]: merged forward/backward function - (there is a single backward function, and the forward function returns ()) +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::insert_no_resize]: Source: 'src/hashmap.rs', lines 117:4-117:54 *) Definition hashmap_HashMap_insert_no_resize (T : Type) (n : nat) (self : hashmap_HashMap_t T) (key : usize) (value : T) : @@ -189,33 +162,27 @@ Definition hashmap_HashMap_insert_no_resize hash <- hashmap_hash_key key; let i := alloc_vec_Vec_len (hashmap_List_t T) self.(hashmap_HashMap_slots) in hash_mod <- usize_rem hash i; - l <- + p <- alloc_vec_Vec_index_mut (hashmap_List_t T) usize (core_slice_index_SliceIndexUsizeSliceTInst (hashmap_List_t T)) self.(hashmap_HashMap_slots) hash_mod; - inserted <- hashmap_HashMap_insert_in_list T n key value l; + let (l, index_mut_back) := p in + p1 <- hashmap_HashMap_insert_in_list T n key value l; + let (inserted, l1) := p1 in if inserted then ( - i0 <- usize_add self.(hashmap_HashMap_num_entries) 1%usize; - l0 <- hashmap_HashMap_insert_in_list_back T n key value l; - v <- - alloc_vec_Vec_index_mut_back (hashmap_List_t T) usize - (core_slice_index_SliceIndexUsizeSliceTInst (hashmap_List_t T)) - self.(hashmap_HashMap_slots) hash_mod l0; + i1 <- usize_add self.(hashmap_HashMap_num_entries) 1%usize; + v <- index_mut_back l1; Return {| - hashmap_HashMap_num_entries := i0; + hashmap_HashMap_num_entries := i1; hashmap_HashMap_max_load_factor := self.(hashmap_HashMap_max_load_factor); hashmap_HashMap_max_load := self.(hashmap_HashMap_max_load); hashmap_HashMap_slots := v |}) else ( - l0 <- hashmap_HashMap_insert_in_list_back T n key value l; - v <- - alloc_vec_Vec_index_mut_back (hashmap_List_t T) usize - (core_slice_index_SliceIndexUsizeSliceTInst (hashmap_List_t T)) - self.(hashmap_HashMap_slots) hash_mod l0; + v <- index_mut_back l1; Return {| hashmap_HashMap_num_entries := self.(hashmap_HashMap_num_entries); @@ -226,8 +193,7 @@ Definition hashmap_HashMap_insert_no_resize |}) . -(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::move_elements_from_list]: loop 0: merged forward/backward function - (there is a single backward function, and the forward function returns ()) +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::move_elements_from_list]: loop 0: Source: 'src/hashmap.rs', lines 183:4-196:5 *) Fixpoint hashmap_HashMap_move_elements_from_list_loop (T : Type) (n : nat) (ntable : hashmap_HashMap_t T) (ls : hashmap_List_t T) : @@ -235,18 +201,17 @@ Fixpoint hashmap_HashMap_move_elements_from_list_loop := match n with | O => Fail_ OutOfFuel - | S n0 => + | S n1 => match ls with | Hashmap_List_Cons k v tl => - ntable0 <- hashmap_HashMap_insert_no_resize T n0 ntable k v; - hashmap_HashMap_move_elements_from_list_loop T n0 ntable0 tl + hm <- hashmap_HashMap_insert_no_resize T n1 ntable k v; + hashmap_HashMap_move_elements_from_list_loop T n1 hm tl | Hashmap_List_Nil => Return ntable end end . -(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::move_elements_from_list]: merged forward/backward function - (there is a single backward function, and the forward function returns ()) +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::move_elements_from_list]: Source: 'src/hashmap.rs', lines 183:4-183:72 *) Definition hashmap_HashMap_move_elements_from_list (T : Type) (n : nat) (ntable : hashmap_HashMap_t T) (ls : hashmap_List_t T) : @@ -255,8 +220,7 @@ Definition hashmap_HashMap_move_elements_from_list hashmap_HashMap_move_elements_from_list_loop T n ntable ls . -(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::move_elements]: loop 0: merged forward/backward function - (there is a single backward function, and the forward function returns ()) +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::move_elements]: loop 0: Source: 'src/hashmap.rs', lines 171:4-180:5 *) Fixpoint hashmap_HashMap_move_elements_loop (T : Type) (n : nat) (ntable : hashmap_HashMap_t T) @@ -265,40 +229,39 @@ Fixpoint hashmap_HashMap_move_elements_loop := match n with | O => Fail_ OutOfFuel - | S n0 => - let i0 := alloc_vec_Vec_len (hashmap_List_t T) slots in - if i s< i0 + | S n1 => + let i1 := alloc_vec_Vec_len (hashmap_List_t T) slots in + if i s< i1 then ( - l <- + p <- alloc_vec_Vec_index_mut (hashmap_List_t T) usize (core_slice_index_SliceIndexUsizeSliceTInst (hashmap_List_t T)) slots i; - let ls := core_mem_replace (hashmap_List_t T) l Hashmap_List_Nil in - ntable0 <- hashmap_HashMap_move_elements_from_list T n0 ntable ls; - i1 <- usize_add i 1%usize; - let l0 := core_mem_replace_back (hashmap_List_t T) l Hashmap_List_Nil in - slots0 <- - alloc_vec_Vec_index_mut_back (hashmap_List_t T) usize - (core_slice_index_SliceIndexUsizeSliceTInst (hashmap_List_t T)) slots - i l0; - hashmap_HashMap_move_elements_loop T n0 ntable0 slots0 i1) + let (l, index_mut_back) := p in + let (ls, l1) := core_mem_replace (hashmap_List_t T) l Hashmap_List_Nil in + hm <- hashmap_HashMap_move_elements_from_list T n1 ntable ls; + i2 <- usize_add i 1%usize; + slots1 <- index_mut_back l1; + back_'a <- hashmap_HashMap_move_elements_loop T n1 hm slots1 i2; + let (hm1, v) := back_'a in + Return (hm1, v)) else Return (ntable, slots) end . -(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::move_elements]: merged forward/backward function - (there is a single backward function, and the forward function returns ()) +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::move_elements]: Source: 'src/hashmap.rs', lines 171:4-171:95 *) Definition hashmap_HashMap_move_elements (T : Type) (n : nat) (ntable : hashmap_HashMap_t T) (slots : alloc_vec_Vec (hashmap_List_t T)) (i : usize) : result ((hashmap_HashMap_t T) * (alloc_vec_Vec (hashmap_List_t T))) := - hashmap_HashMap_move_elements_loop T n ntable slots i + back_'a <- hashmap_HashMap_move_elements_loop T n ntable slots i; + let (hm, v) := back_'a in + Return (hm, v) . -(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::try_resize]: merged forward/backward function - (there is a single backward function, and the forward function returns ()) +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::try_resize]: Source: 'src/hashmap.rs', lines 140:4-140:28 *) Definition hashmap_HashMap_try_resize (T : Type) (n : nat) (self : hashmap_HashMap_t T) : @@ -308,72 +271,71 @@ Definition hashmap_HashMap_try_resize let capacity := alloc_vec_Vec_len (hashmap_List_t T) self.(hashmap_HashMap_slots) in n1 <- usize_div max_usize 2%usize; - let (i, i0) := self.(hashmap_HashMap_max_load_factor) in - i1 <- usize_div n1 i; - if capacity s<= i1 + let (i, i1) := self.(hashmap_HashMap_max_load_factor) in + i2 <- usize_div n1 i; + if capacity s<= i2 then ( - i2 <- usize_mul capacity 2%usize; - ntable <- hashmap_HashMap_new_with_capacity T n i2 i i0; + i3 <- usize_mul capacity 2%usize; + ntable <- hashmap_HashMap_new_with_capacity T n i3 i i1; p <- hashmap_HashMap_move_elements T n ntable self.(hashmap_HashMap_slots) 0%usize; - let (ntable0, _) := p in + let (ntable1, _) := p in Return {| hashmap_HashMap_num_entries := self.(hashmap_HashMap_num_entries); - hashmap_HashMap_max_load_factor := (i, i0); - hashmap_HashMap_max_load := ntable0.(hashmap_HashMap_max_load); - hashmap_HashMap_slots := ntable0.(hashmap_HashMap_slots) + hashmap_HashMap_max_load_factor := (i, i1); + hashmap_HashMap_max_load := ntable1.(hashmap_HashMap_max_load); + hashmap_HashMap_slots := ntable1.(hashmap_HashMap_slots) |}) else Return {| hashmap_HashMap_num_entries := self.(hashmap_HashMap_num_entries); - hashmap_HashMap_max_load_factor := (i, i0); + hashmap_HashMap_max_load_factor := (i, i1); hashmap_HashMap_max_load := self.(hashmap_HashMap_max_load); hashmap_HashMap_slots := self.(hashmap_HashMap_slots) |} . -(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::insert]: merged forward/backward function - (there is a single backward function, and the forward function returns ()) +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::insert]: Source: 'src/hashmap.rs', lines 129:4-129:48 *) Definition hashmap_HashMap_insert (T : Type) (n : nat) (self : hashmap_HashMap_t T) (key : usize) (value : T) : result (hashmap_HashMap_t T) := - self0 <- hashmap_HashMap_insert_no_resize T n self key value; - i <- hashmap_HashMap_len T self0; - if i s> self0.(hashmap_HashMap_max_load) - then hashmap_HashMap_try_resize T n self0 - else Return self0 + hm <- hashmap_HashMap_insert_no_resize T n self key value; + i <- hashmap_HashMap_len T hm; + if i s> hm.(hashmap_HashMap_max_load) + then hashmap_HashMap_try_resize T n hm + else Return hm . -(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::contains_key_in_list]: loop 0: forward function +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::contains_key_in_list]: loop 0: Source: 'src/hashmap.rs', lines 206:4-219:5 *) Fixpoint hashmap_HashMap_contains_key_in_list_loop (T : Type) (n : nat) (key : usize) (ls : hashmap_List_t T) : result bool := match n with | O => Fail_ OutOfFuel - | S n0 => + | S n1 => match ls with - | Hashmap_List_Cons ckey t tl => + | Hashmap_List_Cons ckey _ tl => if ckey s= key then Return true - else hashmap_HashMap_contains_key_in_list_loop T n0 key tl + else hashmap_HashMap_contains_key_in_list_loop T n1 key tl | Hashmap_List_Nil => Return false end end . -(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::contains_key_in_list]: forward function +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::contains_key_in_list]: Source: 'src/hashmap.rs', lines 206:4-206:68 *) Definition hashmap_HashMap_contains_key_in_list (T : Type) (n : nat) (key : usize) (ls : hashmap_List_t T) : result bool := hashmap_HashMap_contains_key_in_list_loop T n key ls . -(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::contains_key]: forward function +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::contains_key]: Source: 'src/hashmap.rs', lines 199:4-199:49 *) Definition hashmap_HashMap_contains_key (T : Type) (n : nat) (self : hashmap_HashMap_t T) (key : usize) : @@ -389,31 +351,31 @@ Definition hashmap_HashMap_contains_key hashmap_HashMap_contains_key_in_list T n key l . -(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::get_in_list]: loop 0: forward function +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::get_in_list]: loop 0: Source: 'src/hashmap.rs', lines 224:4-237:5 *) Fixpoint hashmap_HashMap_get_in_list_loop (T : Type) (n : nat) (key : usize) (ls : hashmap_List_t T) : result T := match n with | O => Fail_ OutOfFuel - | S n0 => + | S n1 => match ls with | Hashmap_List_Cons ckey cvalue tl => if ckey s= key then Return cvalue - else hashmap_HashMap_get_in_list_loop T n0 key tl + else hashmap_HashMap_get_in_list_loop T n1 key tl | Hashmap_List_Nil => Fail_ Failure end end . -(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::get_in_list]: forward function +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::get_in_list]: Source: 'src/hashmap.rs', lines 224:4-224:70 *) Definition hashmap_HashMap_get_in_list (T : Type) (n : nat) (key : usize) (ls : hashmap_List_t T) : result T := hashmap_HashMap_get_in_list_loop T n key ls . -(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::get]: forward function +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::get]: Source: 'src/hashmap.rs', lines 239:4-239:55 *) Definition hashmap_HashMap_get (T : Type) (n : nat) (self : hashmap_HashMap_t T) (key : usize) : result T := @@ -427,292 +389,208 @@ Definition hashmap_HashMap_get hashmap_HashMap_get_in_list T n key l . -(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::get_mut_in_list]: loop 0: forward function +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::get_mut_in_list]: loop 0: Source: 'src/hashmap.rs', lines 245:4-254:5 *) Fixpoint hashmap_HashMap_get_mut_in_list_loop - (T : Type) (n : nat) (ls : hashmap_List_t T) (key : usize) : result T := - match n with - | O => Fail_ OutOfFuel - | S n0 => - match ls with - | Hashmap_List_Cons ckey cvalue tl => - if ckey s= key - then Return cvalue - else hashmap_HashMap_get_mut_in_list_loop T n0 tl key - | Hashmap_List_Nil => Fail_ Failure - end - end -. - -(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::get_mut_in_list]: forward function - Source: 'src/hashmap.rs', lines 245:4-245:86 *) -Definition hashmap_HashMap_get_mut_in_list - (T : Type) (n : nat) (ls : hashmap_List_t T) (key : usize) : result T := - hashmap_HashMap_get_mut_in_list_loop T n ls key -. - -(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::get_mut_in_list]: loop 0: backward function 0 - Source: 'src/hashmap.rs', lines 245:4-254:5 *) -Fixpoint hashmap_HashMap_get_mut_in_list_loop_back - (T : Type) (n : nat) (ls : hashmap_List_t T) (key : usize) (ret : T) : - result (hashmap_List_t T) + (T : Type) (n : nat) (ls : hashmap_List_t T) (key : usize) : + result (T * (T -> result (hashmap_List_t T))) := match n with | O => Fail_ OutOfFuel - | S n0 => + | S n1 => match ls with | Hashmap_List_Cons ckey cvalue tl => if ckey s= key - then Return (Hashmap_List_Cons ckey ret tl) + then + let back_'a := fun (ret : T) => Return (Hashmap_List_Cons ckey ret tl) + in + Return (cvalue, back_'a) else ( - tl0 <- hashmap_HashMap_get_mut_in_list_loop_back T n0 tl key ret; - Return (Hashmap_List_Cons ckey cvalue tl0)) + p <- hashmap_HashMap_get_mut_in_list_loop T n1 tl key; + let (t, back_'a) := p in + let back_'a1 := + fun (ret : T) => + tl1 <- back_'a ret; Return (Hashmap_List_Cons ckey cvalue tl1) in + Return (t, back_'a1)) | Hashmap_List_Nil => Fail_ Failure end end . -(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::get_mut_in_list]: backward function 0 +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::get_mut_in_list]: Source: 'src/hashmap.rs', lines 245:4-245:86 *) -Definition hashmap_HashMap_get_mut_in_list_back - (T : Type) (n : nat) (ls : hashmap_List_t T) (key : usize) (ret : T) : - result (hashmap_List_t T) +Definition hashmap_HashMap_get_mut_in_list + (T : Type) (n : nat) (ls : hashmap_List_t T) (key : usize) : + result (T * (T -> result (hashmap_List_t T))) := - hashmap_HashMap_get_mut_in_list_loop_back T n ls key ret + p <- hashmap_HashMap_get_mut_in_list_loop T n ls key; + let (t, back_'a) := p in + Return (t, back_'a) . -(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::get_mut]: forward function +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::get_mut]: Source: 'src/hashmap.rs', lines 257:4-257:67 *) Definition hashmap_HashMap_get_mut - (T : Type) (n : nat) (self : hashmap_HashMap_t T) (key : usize) : result T := - hash <- hashmap_hash_key key; - let i := alloc_vec_Vec_len (hashmap_List_t T) self.(hashmap_HashMap_slots) in - hash_mod <- usize_rem hash i; - l <- - alloc_vec_Vec_index_mut (hashmap_List_t T) usize - (core_slice_index_SliceIndexUsizeSliceTInst (hashmap_List_t T)) - self.(hashmap_HashMap_slots) hash_mod; - hashmap_HashMap_get_mut_in_list T n l key -. - -(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::get_mut]: backward function 0 - Source: 'src/hashmap.rs', lines 257:4-257:67 *) -Definition hashmap_HashMap_get_mut_back - (T : Type) (n : nat) (self : hashmap_HashMap_t T) (key : usize) (ret : T) : - result (hashmap_HashMap_t T) + (T : Type) (n : nat) (self : hashmap_HashMap_t T) (key : usize) : + result (T * (T -> result (hashmap_HashMap_t T))) := hash <- hashmap_hash_key key; let i := alloc_vec_Vec_len (hashmap_List_t T) self.(hashmap_HashMap_slots) in hash_mod <- usize_rem hash i; - l <- + p <- alloc_vec_Vec_index_mut (hashmap_List_t T) usize (core_slice_index_SliceIndexUsizeSliceTInst (hashmap_List_t T)) self.(hashmap_HashMap_slots) hash_mod; - l0 <- hashmap_HashMap_get_mut_in_list_back T n l key ret; - v <- - alloc_vec_Vec_index_mut_back (hashmap_List_t T) usize - (core_slice_index_SliceIndexUsizeSliceTInst (hashmap_List_t T)) - self.(hashmap_HashMap_slots) hash_mod l0; - Return - {| - hashmap_HashMap_num_entries := self.(hashmap_HashMap_num_entries); - hashmap_HashMap_max_load_factor := self.(hashmap_HashMap_max_load_factor); - hashmap_HashMap_max_load := self.(hashmap_HashMap_max_load); - hashmap_HashMap_slots := v - |} -. - -(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::remove_from_list]: loop 0: forward function + let (l, index_mut_back) := p in + p1 <- hashmap_HashMap_get_mut_in_list T n l key; + let (t, get_mut_in_list_back) := p1 in + let back_'a := + fun (ret : T) => + l1 <- get_mut_in_list_back ret; + v <- index_mut_back l1; + Return + {| + hashmap_HashMap_num_entries := self.(hashmap_HashMap_num_entries); + hashmap_HashMap_max_load_factor := + self.(hashmap_HashMap_max_load_factor); + hashmap_HashMap_max_load := self.(hashmap_HashMap_max_load); + hashmap_HashMap_slots := v + |} in + Return (t, back_'a) +. + +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::remove_from_list]: loop 0: Source: 'src/hashmap.rs', lines 265:4-291:5 *) Fixpoint hashmap_HashMap_remove_from_list_loop (T : Type) (n : nat) (key : usize) (ls : hashmap_List_t T) : - result (option T) + result ((option T) * (hashmap_List_t T)) := match n with | O => Fail_ OutOfFuel - | S n0 => + | S n1 => match ls with | Hashmap_List_Cons ckey t tl => if ckey s= key then - let mv_ls := + let (mv_ls, _) := core_mem_replace (hashmap_List_t T) (Hashmap_List_Cons ckey t tl) Hashmap_List_Nil in match mv_ls with - | Hashmap_List_Cons i cvalue tl0 => Return (Some cvalue) + | Hashmap_List_Cons _ cvalue tl1 => Return (Some cvalue, tl1) | Hashmap_List_Nil => Fail_ Failure end - else hashmap_HashMap_remove_from_list_loop T n0 key tl - | Hashmap_List_Nil => Return None + else ( + p <- hashmap_HashMap_remove_from_list_loop T n1 key tl; + let (o, back) := p in + Return (o, Hashmap_List_Cons ckey t back)) + | Hashmap_List_Nil => Return (None, Hashmap_List_Nil) end end . -(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::remove_from_list]: forward function +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::remove_from_list]: Source: 'src/hashmap.rs', lines 265:4-265:69 *) Definition hashmap_HashMap_remove_from_list (T : Type) (n : nat) (key : usize) (ls : hashmap_List_t T) : - result (option T) + result ((option T) * (hashmap_List_t T)) := hashmap_HashMap_remove_from_list_loop T n key ls . -(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::remove_from_list]: loop 0: backward function 1 - Source: 'src/hashmap.rs', lines 265:4-291:5 *) -Fixpoint hashmap_HashMap_remove_from_list_loop_back - (T : Type) (n : nat) (key : usize) (ls : hashmap_List_t T) : - result (hashmap_List_t T) - := - match n with - | O => Fail_ OutOfFuel - | S n0 => - match ls with - | Hashmap_List_Cons ckey t tl => - if ckey s= key - then - let mv_ls := - core_mem_replace (hashmap_List_t T) (Hashmap_List_Cons ckey t tl) - Hashmap_List_Nil in - match mv_ls with - | Hashmap_List_Cons i cvalue tl0 => Return tl0 - | Hashmap_List_Nil => Fail_ Failure - end - else ( - tl0 <- hashmap_HashMap_remove_from_list_loop_back T n0 key tl; - Return (Hashmap_List_Cons ckey t tl0)) - | Hashmap_List_Nil => Return Hashmap_List_Nil - end - end -. - -(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::remove_from_list]: backward function 1 - Source: 'src/hashmap.rs', lines 265:4-265:69 *) -Definition hashmap_HashMap_remove_from_list_back - (T : Type) (n : nat) (key : usize) (ls : hashmap_List_t T) : - result (hashmap_List_t T) - := - hashmap_HashMap_remove_from_list_loop_back T n key ls -. - -(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::remove]: forward function +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::remove]: Source: 'src/hashmap.rs', lines 294:4-294:52 *) Definition hashmap_HashMap_remove (T : Type) (n : nat) (self : hashmap_HashMap_t T) (key : usize) : - result (option T) + result ((option T) * (hashmap_HashMap_t T)) := hash <- hashmap_hash_key key; let i := alloc_vec_Vec_len (hashmap_List_t T) self.(hashmap_HashMap_slots) in hash_mod <- usize_rem hash i; - l <- + p <- alloc_vec_Vec_index_mut (hashmap_List_t T) usize (core_slice_index_SliceIndexUsizeSliceTInst (hashmap_List_t T)) self.(hashmap_HashMap_slots) hash_mod; - x <- hashmap_HashMap_remove_from_list T n key l; - match x with - | None => Return None - | Some x0 => - _ <- usize_sub self.(hashmap_HashMap_num_entries) 1%usize; Return (Some x0) - end -. - -(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::remove]: backward function 0 - Source: 'src/hashmap.rs', lines 294:4-294:52 *) -Definition hashmap_HashMap_remove_back - (T : Type) (n : nat) (self : hashmap_HashMap_t T) (key : usize) : - result (hashmap_HashMap_t T) - := - hash <- hashmap_hash_key key; - let i := alloc_vec_Vec_len (hashmap_List_t T) self.(hashmap_HashMap_slots) in - hash_mod <- usize_rem hash i; - l <- - alloc_vec_Vec_index_mut (hashmap_List_t T) usize - (core_slice_index_SliceIndexUsizeSliceTInst (hashmap_List_t T)) - self.(hashmap_HashMap_slots) hash_mod; - x <- hashmap_HashMap_remove_from_list T n key l; + let (l, index_mut_back) := p in + p1 <- hashmap_HashMap_remove_from_list T n key l; + let (x, l1) := p1 in match x with | None => - l0 <- hashmap_HashMap_remove_from_list_back T n key l; - v <- - alloc_vec_Vec_index_mut_back (hashmap_List_t T) usize - (core_slice_index_SliceIndexUsizeSliceTInst (hashmap_List_t T)) - self.(hashmap_HashMap_slots) hash_mod l0; - Return + v <- index_mut_back l1; + Return (None, {| hashmap_HashMap_num_entries := self.(hashmap_HashMap_num_entries); hashmap_HashMap_max_load_factor := self.(hashmap_HashMap_max_load_factor); hashmap_HashMap_max_load := self.(hashmap_HashMap_max_load); hashmap_HashMap_slots := v - |} - | Some x0 => - i0 <- usize_sub self.(hashmap_HashMap_num_entries) 1%usize; - l0 <- hashmap_HashMap_remove_from_list_back T n key l; - v <- - alloc_vec_Vec_index_mut_back (hashmap_List_t T) usize - (core_slice_index_SliceIndexUsizeSliceTInst (hashmap_List_t T)) - self.(hashmap_HashMap_slots) hash_mod l0; - Return + |}) + | Some x1 => + i1 <- usize_sub self.(hashmap_HashMap_num_entries) 1%usize; + v <- index_mut_back l1; + Return (Some x1, {| - hashmap_HashMap_num_entries := i0; + hashmap_HashMap_num_entries := i1; hashmap_HashMap_max_load_factor := self.(hashmap_HashMap_max_load_factor); hashmap_HashMap_max_load := self.(hashmap_HashMap_max_load); hashmap_HashMap_slots := v - |} + |}) end . -(** [hashmap_main::hashmap::test1]: forward function +(** [hashmap_main::hashmap::test1]: Source: 'src/hashmap.rs', lines 315:0-315:10 *) Definition hashmap_test1 (n : nat) : result unit := hm <- hashmap_HashMap_new u64 n; - hm0 <- hashmap_HashMap_insert u64 n hm 0%usize 42%u64; - hm1 <- hashmap_HashMap_insert u64 n hm0 128%usize 18%u64; - hm2 <- hashmap_HashMap_insert u64 n hm1 1024%usize 138%u64; - hm3 <- hashmap_HashMap_insert u64 n hm2 1056%usize 256%u64; - i <- hashmap_HashMap_get u64 n hm3 128%usize; + hm1 <- hashmap_HashMap_insert u64 n hm 0%usize 42%u64; + hm2 <- hashmap_HashMap_insert u64 n hm1 128%usize 18%u64; + hm3 <- hashmap_HashMap_insert u64 n hm2 1024%usize 138%u64; + hm4 <- hashmap_HashMap_insert u64 n hm3 1056%usize 256%u64; + i <- hashmap_HashMap_get u64 n hm4 128%usize; if negb (i s= 18%u64) then Fail_ Failure else ( - hm4 <- hashmap_HashMap_get_mut_back u64 n hm3 1024%usize 56%u64; - i0 <- hashmap_HashMap_get u64 n hm4 1024%usize; - if negb (i0 s= 56%u64) + p <- hashmap_HashMap_get_mut u64 n hm4 1024%usize; + let (_, get_mut_back) := p in + hm5 <- get_mut_back 56%u64; + i1 <- hashmap_HashMap_get u64 n hm5 1024%usize; + if negb (i1 s= 56%u64) then Fail_ Failure else ( - x <- hashmap_HashMap_remove u64 n hm4 1024%usize; + p1 <- hashmap_HashMap_remove u64 n hm5 1024%usize; + let (x, hm6) := p1 in match x with | None => Fail_ Failure - | Some x0 => - if negb (x0 s= 56%u64) + | Some x1 => + if negb (x1 s= 56%u64) then Fail_ Failure else ( - hm5 <- hashmap_HashMap_remove_back u64 n hm4 1024%usize; - i1 <- hashmap_HashMap_get u64 n hm5 0%usize; - if negb (i1 s= 42%u64) + i2 <- hashmap_HashMap_get u64 n hm6 0%usize; + if negb (i2 s= 42%u64) then Fail_ Failure else ( - i2 <- hashmap_HashMap_get u64 n hm5 128%usize; - if negb (i2 s= 18%u64) + i3 <- hashmap_HashMap_get u64 n hm6 128%usize; + if negb (i3 s= 18%u64) then Fail_ Failure else ( - i3 <- hashmap_HashMap_get u64 n hm5 1056%usize; - if negb (i3 s= 256%u64) then Fail_ Failure else Return tt))) + i4 <- hashmap_HashMap_get u64 n hm6 1056%usize; + if negb (i4 s= 256%u64) then Fail_ Failure else Return tt))) end)) . -(** [hashmap_main::insert_on_disk]: forward function +(** [hashmap_main::insert_on_disk]: Source: 'src/hashmap_main.rs', lines 7:0-7:43 *) Definition insert_on_disk (n : nat) (key : usize) (value : u64) (st : state) : result (state * unit) := p <- hashmap_utils_deserialize st; - let (st0, hm) := p in - hm0 <- hashmap_HashMap_insert u64 n hm key value; - p0 <- hashmap_utils_serialize hm0 st0; - let (st1, _) := p0 in - Return (st1, tt) + let (st1, hm) := p in + hm1 <- hashmap_HashMap_insert u64 n hm key value; + p1 <- hashmap_utils_serialize hm1 st1; + let (st2, _) := p1 in + Return (st2, tt) . -(** [hashmap_main::main]: forward function +(** [hashmap_main::main]: Source: 'src/hashmap_main.rs', lines 16:0-16:13 *) Definition main : result unit := Return tt. diff --git a/tests/coq/hashmap_on_disk/HashmapMain_FunsExternal_Template.v b/tests/coq/hashmap_on_disk/HashmapMain_FunsExternal_Template.v index e10d02f6..fb2e052a 100644 --- a/tests/coq/hashmap_on_disk/HashmapMain_FunsExternal_Template.v +++ b/tests/coq/hashmap_on_disk/HashmapMain_FunsExternal_Template.v @@ -11,13 +11,13 @@ Require Import HashmapMain_Types. Include HashmapMain_Types. Module HashmapMain_FunsExternal_Template. -(** [hashmap_main::hashmap_utils::deserialize]: forward function +(** [hashmap_main::hashmap_utils::deserialize]: Source: 'src/hashmap_utils.rs', lines 10:0-10:43 *) Axiom hashmap_utils_deserialize : state -> result (state * (hashmap_HashMap_t u64)) . -(** [hashmap_main::hashmap_utils::serialize]: forward function +(** [hashmap_main::hashmap_utils::serialize]: Source: 'src/hashmap_utils.rs', lines 5:0-5:42 *) Axiom hashmap_utils_serialize : hashmap_HashMap_t u64 -> state -> result (state * unit) diff --git a/tests/coq/hashmap_on_disk/Primitives.v b/tests/coq/hashmap_on_disk/Primitives.v index 84280b96..990e27e4 100644 --- a/tests/coq/hashmap_on_disk/Primitives.v +++ b/tests/coq/hashmap_on_disk/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. diff --git a/tests/coq/misc/Bitwise.v b/tests/coq/misc/Bitwise.v index 94771b37..b04c95f2 100644 --- a/tests/coq/misc/Bitwise.v +++ b/tests/coq/misc/Bitwise.v @@ -8,29 +8,29 @@ Import ListNotations. Local Open Scope Primitives_scope. Module Bitwise. -(** [bitwise::shift_u32]: forward function +(** [bitwise::shift_u32]: Source: 'src/bitwise.rs', lines 3:0-3:31 *) Definition shift_u32 (a : u32) : result u32 := t <- u32_shr a 16%usize; u32_shl t 16%usize . -(** [bitwise::shift_i32]: forward function +(** [bitwise::shift_i32]: Source: 'src/bitwise.rs', lines 10:0-10:31 *) Definition shift_i32 (a : i32) : result i32 := t <- i32_shr a 16%isize; i32_shl t 16%isize . -(** [bitwise::xor_u32]: forward function +(** [bitwise::xor_u32]: Source: 'src/bitwise.rs', lines 17:0-17:37 *) Definition xor_u32 (a : u32) (b : u32) : result u32 := Return (u32_xor a b). -(** [bitwise::or_u32]: forward function +(** [bitwise::or_u32]: Source: 'src/bitwise.rs', lines 21:0-21:36 *) Definition or_u32 (a : u32) (b : u32) : result u32 := Return (u32_or a b). -(** [bitwise::and_u32]: forward function +(** [bitwise::and_u32]: Source: 'src/bitwise.rs', lines 25:0-25:37 *) Definition and_u32 (a : u32) (b : u32) : result u32 := Return (u32_and a b). diff --git a/tests/coq/misc/Constants.v b/tests/coq/misc/Constants.v index ad899f25..0f33cbd6 100644 --- a/tests/coq/misc/Constants.v +++ b/tests/coq/misc/Constants.v @@ -23,7 +23,7 @@ Definition x1_c : u32 := x1_body%global. Definition x2_body : result u32 := Return 3%u32. Definition x2_c : u32 := x2_body%global. -(** [constants::incr]: forward function +(** [constants::incr]: Source: 'src/constants.rs', lines 17:0-17:32 *) Definition incr (n : u32) : result u32 := u32_add n 1%u32. @@ -33,7 +33,7 @@ Definition incr (n : u32) : result u32 := Definition x3_body : result u32 := incr 32%u32. Definition x3_c : u32 := x3_body%global. -(** [constants::mk_pair0]: forward function +(** [constants::mk_pair0]: Source: 'src/constants.rs', lines 23:0-23:51 *) Definition mk_pair0 (x : u32) (y : u32) : result (u32 * u32) := Return (x, y). @@ -46,7 +46,7 @@ Arguments mkPair_t { _ _ }. Arguments pair_x { _ _ }. Arguments pair_y { _ _ }. -(** [constants::mk_pair1]: forward function +(** [constants::mk_pair1]: Source: 'src/constants.rs', lines 27:0-27:55 *) Definition mk_pair1 (x : u32) (y : u32) : result (Pair_t u32 u32) := Return {| pair_x := x; pair_y := y |} @@ -81,7 +81,7 @@ Record Wrap_t (T : Type) := mkWrap_t { wrap_value : T; }. Arguments mkWrap_t { _ }. Arguments wrap_value { _ }. -(** [constants::{constants::Wrap<T>}::new]: forward function +(** [constants::{constants::Wrap<T>}::new]: Source: 'src/constants.rs', lines 54:4-54:41 *) Definition wrap_new (T : Type) (value : T) : result (Wrap_t T) := Return {| wrap_value := value |} @@ -92,7 +92,7 @@ Definition wrap_new (T : Type) (value : T) : result (Wrap_t T) := Definition y_body : result (Wrap_t i32) := wrap_new i32 2%i32. Definition y_c : Wrap_t i32 := y_body%global. -(** [constants::unwrap_y]: forward function +(** [constants::unwrap_y]: Source: 'src/constants.rs', lines 43:0-43:30 *) Definition unwrap_y : result i32 := Return y_c.(wrap_value). @@ -107,12 +107,12 @@ Definition yval_c : i32 := yval_body%global. Definition get_z1_z1_body : result i32 := Return 3%i32. Definition get_z1_z1_c : i32 := get_z1_z1_body%global. -(** [constants::get_z1]: forward function +(** [constants::get_z1]: Source: 'src/constants.rs', lines 61:0-61:28 *) Definition get_z1 : result i32 := Return get_z1_z1_c. -(** [constants::add]: forward function +(** [constants::add]: Source: 'src/constants.rs', lines 66:0-66:39 *) Definition add (a : i32) (b : i32) : result i32 := i32_add a b. @@ -132,10 +132,10 @@ Definition q2_c : i32 := q2_body%global. Definition q3_body : result i32 := add q2_c 3%i32. Definition q3_c : i32 := q3_body%global. -(** [constants::get_z2]: forward function +(** [constants::get_z2]: Source: 'src/constants.rs', lines 70:0-70:28 *) Definition get_z2 : result i32 := - i <- get_z1; i0 <- add i q3_c; add q1_c i0. + i <- get_z1; i1 <- add i q3_c; add q1_c i1. (** [constants::S1] Source: 'src/constants.rs', lines 80:0-80:18 *) diff --git a/tests/coq/misc/External_Funs.v b/tests/coq/misc/External_Funs.v index e9d39f66..91ea88c9 100644 --- a/tests/coq/misc/External_Funs.v +++ b/tests/coq/misc/External_Funs.v @@ -12,107 +12,64 @@ Require Import External_FunsExternal. Include External_FunsExternal. Module External_Funs. -(** [external::swap]: forward function +(** [external::swap]: Source: 'src/external.rs', lines 6:0-6:46 *) Definition swap - (T : Type) (x : T) (y : T) (st : state) : result (state * unit) := - p <- core_mem_swap T x y st; - let (st0, _) := p in - p0 <- core_mem_swap_back0 T x y st st0; - let (st1, _) := p0 in - p1 <- core_mem_swap_back1 T x y st st1; - let (st2, _) := p1 in - Return (st2, tt) + (T : Type) (x : T) (y : T) (st : state) : result (state * (T * T)) := + core_mem_swap T x y st . -(** [external::swap]: backward function 0 - Source: 'src/external.rs', lines 6:0-6:46 *) -Definition swap_back - (T : Type) (x : T) (y : T) (st : state) (st0 : state) : - result (state * (T * T)) - := - p <- core_mem_swap T x y st; - let (st1, _) := p in - p0 <- core_mem_swap_back0 T x y st st1; - let (st2, x0) := p0 in - p1 <- core_mem_swap_back1 T x y st st2; - let (_, y0) := p1 in - Return (st0, (x0, y0)) -. - -(** [external::test_new_non_zero_u32]: forward function +(** [external::test_new_non_zero_u32]: Source: 'src/external.rs', lines 11:0-11:60 *) Definition test_new_non_zero_u32 (x : u32) (st : state) : result (state * core_num_nonzero_NonZeroU32_t) := p <- core_num_nonzero_NonZeroU32_new x st; - let (st0, o) := p in - core_option_Option_unwrap core_num_nonzero_NonZeroU32_t o st0 + let (st1, o) := p in + core_option_Option_unwrap core_num_nonzero_NonZeroU32_t o st1 . -(** [external::test_vec]: forward function +(** [external::test_vec]: Source: 'src/external.rs', lines 17:0-17:17 *) Definition test_vec : result unit := - let v := alloc_vec_Vec_new u32 in - _ <- alloc_vec_Vec_push u32 v 0%u32; - Return tt + _ <- alloc_vec_Vec_push u32 (alloc_vec_Vec_new u32) 0%u32; Return tt . (** Unit test for [external::test_vec] *) Check (test_vec )%return. -(** [external::custom_swap]: forward function +(** [external::custom_swap]: Source: 'src/external.rs', lines 24:0-24:66 *) Definition custom_swap - (T : Type) (x : T) (y : T) (st : state) : result (state * T) := - p <- core_mem_swap T x y st; - let (st0, _) := p in - p0 <- core_mem_swap_back0 T x y st st0; - let (st1, x0) := p0 in - p1 <- core_mem_swap_back1 T x y st st1; - let (st2, _) := p1 in - Return (st2, x0) -. - -(** [external::custom_swap]: backward function 0 - Source: 'src/external.rs', lines 24:0-24:66 *) -Definition custom_swap_back - (T : Type) (x : T) (y : T) (st : state) (ret : T) (st0 : state) : - result (state * (T * T)) + (T : Type) (x : T) (y : T) (st : state) : + result (state * (T * (T -> state -> result (state * (T * T))))) := p <- core_mem_swap T x y st; - let (st1, _) := p in - p0 <- core_mem_swap_back0 T x y st st1; - let (st2, _) := p0 in - p1 <- core_mem_swap_back1 T x y st st2; - let (_, y0) := p1 in - Return (st0, (ret, y0)) + let (st1, p1) := p in + let (t, t1) := p1 in + let back_'a := fun (ret : T) (st2 : state) => Return (st2, (ret, t1)) in + Return (st1, (t, back_'a)) . -(** [external::test_custom_swap]: forward function +(** [external::test_custom_swap]: Source: 'src/external.rs', lines 29:0-29:59 *) Definition test_custom_swap - (x : u32) (y : u32) (st : state) : result (state * unit) := - p <- custom_swap u32 x y st; let (st0, _) := p in Return (st0, tt) -. - -(** [external::test_custom_swap]: backward function 0 - Source: 'src/external.rs', lines 29:0-29:59 *) -Definition test_custom_swap_back - (x : u32) (y : u32) (st : state) (st0 : state) : - result (state * (u32 * u32)) - := - custom_swap_back u32 x y st 1%u32 st0 + (x : u32) (y : u32) (st : state) : result (state * (u32 * u32)) := + p <- custom_swap u32 x y st; + let (st1, p1) := p in + let (_, custom_swap_back) := p1 in + p2 <- custom_swap_back 1%u32 st1; + let (_, p3) := p2 in + let (x1, y1) := p3 in + Return (st1, (x1, y1)) . -(** [external::test_swap_non_zero]: forward function +(** [external::test_swap_non_zero]: Source: 'src/external.rs', lines 35:0-35:44 *) Definition test_swap_non_zero (x : u32) (st : state) : result (state * u32) := p <- swap u32 x 0%u32 st; - let (st0, _) := p in - p0 <- swap_back u32 x 0%u32 st st0; - let (st1, p1) := p0 in - let (x0, _) := p1 in - if x0 s= 0%u32 then Fail_ Failure else Return (st1, x0) + let (st1, p1) := p in + let (x1, _) := p1 in + if x1 s= 0%u32 then Fail_ Failure else Return (st1, x1) . End External_Funs. diff --git a/tests/coq/misc/External_FunsExternal.v b/tests/coq/misc/External_FunsExternal.v index a8c5756a..e9655f57 100644 --- a/tests/coq/misc/External_FunsExternal.v +++ b/tests/coq/misc/External_FunsExternal.v @@ -10,22 +10,10 @@ Require Export External_Types. Include External_Types. Module External_FunsExternal. -(** [core::mem::swap]: forward function +(** [core::mem::swap]: Source: '/rustc/d59363ad0b6391b7fc5bbb02c9ccf9300eef3753/library/core/src/mem/mod.rs', lines 726:0-726:42 *) -Axiom core_mem_swap : - forall(T : Type), T -> T -> state -> result (state * unit) -. - -(** [core::mem::swap]: backward function 0 - Source: '/rustc/d59363ad0b6391b7fc5bbb02c9ccf9300eef3753/library/core/src/mem/mod.rs', lines 726:0-726:42 *) -Axiom core_mem_swap_back0 : - forall(T : Type), T -> T -> state -> state -> result (state * T) -. - -(** [core::mem::swap]: backward function 1 - Source: '/rustc/d59363ad0b6391b7fc5bbb02c9ccf9300eef3753/library/core/src/mem/mod.rs', lines 726:0-726:42 *) -Axiom core_mem_swap_back1 : - forall(T : Type), T -> T -> state -> state -> result (state * T) +Definition core_mem_swap (T : Type) (x : T) (y : T) (s : state) := + Return (s, (y, x)) . (** [core::num::nonzero::{core::num::nonzero::NonZeroU32#14}::new]: forward function diff --git a/tests/coq/misc/External_FunsExternal_Template.v b/tests/coq/misc/External_FunsExternal_Template.v index 31e69c39..6773ac18 100644 --- a/tests/coq/misc/External_FunsExternal_Template.v +++ b/tests/coq/misc/External_FunsExternal_Template.v @@ -11,31 +11,19 @@ Require Import External_Types. Include External_Types. Module External_FunsExternal_Template. -(** [core::mem::swap]: forward function +(** [core::mem::swap]: Source: '/rustc/d59363ad0b6391b7fc5bbb02c9ccf9300eef3753/library/core/src/mem/mod.rs', lines 726:0-726:42 *) Axiom core_mem_swap : - forall(T : Type), T -> T -> state -> result (state * unit) + forall(T : Type), T -> T -> state -> result (state * (T * T)) . -(** [core::mem::swap]: backward function 0 - Source: '/rustc/d59363ad0b6391b7fc5bbb02c9ccf9300eef3753/library/core/src/mem/mod.rs', lines 726:0-726:42 *) -Axiom core_mem_swap_back0 : - forall(T : Type), T -> T -> state -> state -> result (state * T) -. - -(** [core::mem::swap]: backward function 1 - Source: '/rustc/d59363ad0b6391b7fc5bbb02c9ccf9300eef3753/library/core/src/mem/mod.rs', lines 726:0-726:42 *) -Axiom core_mem_swap_back1 : - forall(T : Type), T -> T -> state -> state -> result (state * T) -. - -(** [core::num::nonzero::{core::num::nonzero::NonZeroU32#14}::new]: forward function +(** [core::num::nonzero::{core::num::nonzero::NonZeroU32#14}::new]: Source: '/rustc/d59363ad0b6391b7fc5bbb02c9ccf9300eef3753/library/core/src/num/nonzero.rs', lines 79:16-79:57 *) Axiom core_num_nonzero_NonZeroU32_new : u32 -> state -> result (state * (option core_num_nonzero_NonZeroU32_t)) . -(** [core::option::{core::option::Option<T>}::unwrap]: forward function +(** [core::option::{core::option::Option<T>}::unwrap]: Source: '/rustc/d59363ad0b6391b7fc5bbb02c9ccf9300eef3753/library/core/src/option.rs', lines 932:4-932:34 *) Axiom core_option_Option_unwrap : forall(T : Type), option T -> state -> result (state * T) diff --git a/tests/coq/misc/Loops.v b/tests/coq/misc/Loops.v index 83c249c1..af920d41 100644 --- a/tests/coq/misc/Loops.v +++ b/tests/coq/misc/Loops.v @@ -8,90 +8,90 @@ Import ListNotations. Local Open Scope Primitives_scope. Module Loops. -(** [loops::sum]: loop 0: forward function +(** [loops::sum]: loop 0: Source: 'src/loops.rs', lines 4:0-14:1 *) Fixpoint sum_loop (n : nat) (max : u32) (i : u32) (s : u32) : result u32 := match n with | O => Fail_ OutOfFuel - | S n0 => + | S n1 => if i s< max - then (s0 <- u32_add s i; i0 <- u32_add i 1%u32; sum_loop n0 max i0 s0) + then (s1 <- u32_add s i; i1 <- u32_add i 1%u32; sum_loop n1 max i1 s1) else u32_mul s 2%u32 end . -(** [loops::sum]: forward function +(** [loops::sum]: Source: 'src/loops.rs', lines 4:0-4:27 *) Definition sum (n : nat) (max : u32) : result u32 := sum_loop n max 0%u32 0%u32 . -(** [loops::sum_with_mut_borrows]: loop 0: forward function +(** [loops::sum_with_mut_borrows]: loop 0: Source: 'src/loops.rs', lines 19:0-31:1 *) Fixpoint sum_with_mut_borrows_loop (n : nat) (max : u32) (mi : u32) (ms : u32) : result u32 := match n with | O => Fail_ OutOfFuel - | S n0 => + | S n1 => if mi s< max then ( - ms0 <- u32_add ms mi; - mi0 <- u32_add mi 1%u32; - sum_with_mut_borrows_loop n0 max mi0 ms0) + ms1 <- u32_add ms mi; + mi1 <- u32_add mi 1%u32; + sum_with_mut_borrows_loop n1 max mi1 ms1) else u32_mul ms 2%u32 end . -(** [loops::sum_with_mut_borrows]: forward function +(** [loops::sum_with_mut_borrows]: Source: 'src/loops.rs', lines 19:0-19:44 *) Definition sum_with_mut_borrows (n : nat) (max : u32) : result u32 := sum_with_mut_borrows_loop n max 0%u32 0%u32 . -(** [loops::sum_with_shared_borrows]: loop 0: forward function +(** [loops::sum_with_shared_borrows]: loop 0: Source: 'src/loops.rs', lines 34:0-48:1 *) Fixpoint sum_with_shared_borrows_loop (n : nat) (max : u32) (i : u32) (s : u32) : result u32 := match n with | O => Fail_ OutOfFuel - | S n0 => + | S n1 => if i s< max then ( - i0 <- u32_add i 1%u32; - s0 <- u32_add s i0; - sum_with_shared_borrows_loop n0 max i0 s0) + i1 <- u32_add i 1%u32; + s1 <- u32_add s i1; + sum_with_shared_borrows_loop n1 max i1 s1) else u32_mul s 2%u32 end . -(** [loops::sum_with_shared_borrows]: forward function +(** [loops::sum_with_shared_borrows]: Source: 'src/loops.rs', lines 34:0-34:47 *) Definition sum_with_shared_borrows (n : nat) (max : u32) : result u32 := sum_with_shared_borrows_loop n max 0%u32 0%u32 . -(** [loops::clear]: loop 0: merged forward/backward function - (there is a single backward function, and the forward function returns ()) +(** [loops::clear]: loop 0: Source: 'src/loops.rs', lines 52:0-58:1 *) Fixpoint clear_loop (n : nat) (v : alloc_vec_Vec u32) (i : usize) : result (alloc_vec_Vec u32) := match n with | O => Fail_ OutOfFuel - | S n0 => - let i0 := alloc_vec_Vec_len u32 v in - if i s< i0 + | S n1 => + let i1 := alloc_vec_Vec_len u32 v in + if i s< i1 then ( - i1 <- usize_add i 1%usize; - v0 <- - alloc_vec_Vec_index_mut_back u32 usize - (core_slice_index_SliceIndexUsizeSliceTInst u32) v i 0%u32; - clear_loop n0 v0 i1) + p <- + alloc_vec_Vec_index_mut u32 usize + (core_slice_index_SliceIndexUsizeSliceTInst u32) v i; + let (_, index_mut_back) := p in + i2 <- usize_add i 1%usize; + v1 <- index_mut_back 0%u32; + clear_loop n1 v1 i2) else Return v end . -(** [loops::clear]: merged forward/backward function - (there is a single backward function, and the forward function returns ()) +(** [loops::clear]: Source: 'src/loops.rs', lines 52:0-52:30 *) Definition clear (n : nat) (v : alloc_vec_Vec u32) : result (alloc_vec_Vec u32) := @@ -108,181 +108,143 @@ Inductive List_t (T : Type) := Arguments List_Cons { _ }. Arguments List_Nil { _ }. -(** [loops::list_mem]: loop 0: forward function +(** [loops::list_mem]: loop 0: Source: 'src/loops.rs', lines 66:0-75:1 *) Fixpoint list_mem_loop (n : nat) (x : u32) (ls : List_t u32) : result bool := match n with | O => Fail_ OutOfFuel - | S n0 => + | S n1 => match ls with - | List_Cons y tl => if y s= x then Return true else list_mem_loop n0 x tl + | List_Cons y tl => if y s= x then Return true else list_mem_loop n1 x tl | List_Nil => Return false end end . -(** [loops::list_mem]: forward function +(** [loops::list_mem]: Source: 'src/loops.rs', lines 66:0-66:52 *) Definition list_mem (n : nat) (x : u32) (ls : List_t u32) : result bool := list_mem_loop n x ls . -(** [loops::list_nth_mut_loop]: loop 0: forward function +(** [loops::list_nth_mut_loop]: loop 0: Source: 'src/loops.rs', lines 78:0-88:1 *) Fixpoint list_nth_mut_loop_loop - (T : Type) (n : nat) (ls : List_t T) (i : u32) : result T := - match n with - | O => Fail_ OutOfFuel - | S n0 => - match ls with - | List_Cons x tl => - if i s= 0%u32 - then Return x - else (i0 <- u32_sub i 1%u32; list_nth_mut_loop_loop T n0 tl i0) - | List_Nil => Fail_ Failure - end - end -. - -(** [loops::list_nth_mut_loop]: forward function - Source: 'src/loops.rs', lines 78:0-78:71 *) -Definition list_nth_mut_loop - (T : Type) (n : nat) (ls : List_t T) (i : u32) : result T := - list_nth_mut_loop_loop T n ls i -. - -(** [loops::list_nth_mut_loop]: loop 0: backward function 0 - Source: 'src/loops.rs', lines 78:0-88:1 *) -Fixpoint list_nth_mut_loop_loop_back - (T : Type) (n : nat) (ls : List_t T) (i : u32) (ret : T) : - result (List_t T) + (T : Type) (n : nat) (ls : List_t T) (i : u32) : + result (T * (T -> result (List_t T))) := match n with | O => Fail_ OutOfFuel - | S n0 => + | S n1 => match ls with | List_Cons x tl => if i s= 0%u32 - then Return (List_Cons ret tl) + then + let back := fun (ret : T) => Return (List_Cons ret tl) in + Return (x, back) else ( - i0 <- u32_sub i 1%u32; - tl0 <- list_nth_mut_loop_loop_back T n0 tl i0 ret; - Return (List_Cons x tl0)) + i1 <- u32_sub i 1%u32; + p <- list_nth_mut_loop_loop T n1 tl i1; + let (t, back) := p in + let back1 := fun (ret : T) => tl1 <- back ret; Return (List_Cons x tl1) + in + Return (t, back1)) | List_Nil => Fail_ Failure end end . -(** [loops::list_nth_mut_loop]: backward function 0 +(** [loops::list_nth_mut_loop]: Source: 'src/loops.rs', lines 78:0-78:71 *) -Definition list_nth_mut_loop_back - (T : Type) (n : nat) (ls : List_t T) (i : u32) (ret : T) : - result (List_t T) +Definition list_nth_mut_loop + (T : Type) (n : nat) (ls : List_t T) (i : u32) : + result (T * (T -> result (List_t T))) := - list_nth_mut_loop_loop_back T n ls i ret + p <- list_nth_mut_loop_loop T n ls i; let (t, back) := p in Return (t, back) . -(** [loops::list_nth_shared_loop]: loop 0: forward function +(** [loops::list_nth_shared_loop]: loop 0: Source: 'src/loops.rs', lines 91:0-101:1 *) Fixpoint list_nth_shared_loop_loop (T : Type) (n : nat) (ls : List_t T) (i : u32) : result T := match n with | O => Fail_ OutOfFuel - | S n0 => + | S n1 => match ls with | List_Cons x tl => if i s= 0%u32 then Return x - else (i0 <- u32_sub i 1%u32; list_nth_shared_loop_loop T n0 tl i0) + else (i1 <- u32_sub i 1%u32; list_nth_shared_loop_loop T n1 tl i1) | List_Nil => Fail_ Failure end end . -(** [loops::list_nth_shared_loop]: forward function +(** [loops::list_nth_shared_loop]: Source: 'src/loops.rs', lines 91:0-91:66 *) Definition list_nth_shared_loop (T : Type) (n : nat) (ls : List_t T) (i : u32) : result T := list_nth_shared_loop_loop T n ls i . -(** [loops::get_elem_mut]: loop 0: forward function +(** [loops::get_elem_mut]: loop 0: Source: 'src/loops.rs', lines 103:0-117:1 *) Fixpoint get_elem_mut_loop - (n : nat) (x : usize) (ls : List_t usize) : result usize := - match n with - | O => Fail_ OutOfFuel - | S n0 => - match ls with - | List_Cons y tl => if y s= x then Return y else get_elem_mut_loop n0 x tl - | List_Nil => Fail_ Failure - end - end -. - -(** [loops::get_elem_mut]: forward function - Source: 'src/loops.rs', lines 103:0-103:73 *) -Definition get_elem_mut - (n : nat) (slots : alloc_vec_Vec (List_t usize)) (x : usize) : - result usize - := - l <- - alloc_vec_Vec_index_mut (List_t usize) usize - (core_slice_index_SliceIndexUsizeSliceTInst (List_t usize)) slots 0%usize; - get_elem_mut_loop n x l -. - -(** [loops::get_elem_mut]: loop 0: backward function 0 - Source: 'src/loops.rs', lines 103:0-117:1 *) -Fixpoint get_elem_mut_loop_back - (n : nat) (x : usize) (ls : List_t usize) (ret : usize) : - result (List_t usize) + (n : nat) (x : usize) (ls : List_t usize) : + result (usize * (usize -> result (List_t usize))) := match n with | O => Fail_ OutOfFuel - | S n0 => + | S n1 => match ls with | List_Cons y tl => if y s= x - then Return (List_Cons ret tl) + then + let back := fun (ret : usize) => Return (List_Cons ret tl) in + Return (y, back) else ( - tl0 <- get_elem_mut_loop_back n0 x tl ret; Return (List_Cons y tl0)) + p <- get_elem_mut_loop n1 x tl; + let (i, back) := p in + let back1 := + fun (ret : usize) => tl1 <- back ret; Return (List_Cons y tl1) in + Return (i, back1)) | List_Nil => Fail_ Failure end end . -(** [loops::get_elem_mut]: backward function 0 +(** [loops::get_elem_mut]: Source: 'src/loops.rs', lines 103:0-103:73 *) -Definition get_elem_mut_back - (n : nat) (slots : alloc_vec_Vec (List_t usize)) (x : usize) (ret : usize) : - result (alloc_vec_Vec (List_t usize)) +Definition get_elem_mut + (n : nat) (slots : alloc_vec_Vec (List_t usize)) (x : usize) : + result (usize * (usize -> result (alloc_vec_Vec (List_t usize)))) := - l <- + p <- alloc_vec_Vec_index_mut (List_t usize) usize (core_slice_index_SliceIndexUsizeSliceTInst (List_t usize)) slots 0%usize; - l0 <- get_elem_mut_loop_back n x l ret; - alloc_vec_Vec_index_mut_back (List_t usize) usize - (core_slice_index_SliceIndexUsizeSliceTInst (List_t usize)) slots 0%usize - l0 + let (l, index_mut_back) := p in + p1 <- get_elem_mut_loop n x l; + let (i, back) := p1 in + let back1 := fun (ret : usize) => l1 <- back ret; index_mut_back l1 in + Return (i, back1) . -(** [loops::get_elem_shared]: loop 0: forward function +(** [loops::get_elem_shared]: loop 0: Source: 'src/loops.rs', lines 119:0-133:1 *) Fixpoint get_elem_shared_loop (n : nat) (x : usize) (ls : List_t usize) : result usize := match n with | O => Fail_ OutOfFuel - | S n0 => + | S n1 => match ls with | List_Cons y tl => - if y s= x then Return y else get_elem_shared_loop n0 x tl + if y s= x then Return y else get_elem_shared_loop n1 x tl | List_Nil => Fail_ Failure end end . -(** [loops::get_elem_shared]: forward function +(** [loops::get_elem_shared]: Source: 'src/loops.rs', lines 119:0-119:68 *) Definition get_elem_shared (n : nat) (slots : alloc_vec_Vec (List_t usize)) (x : usize) : @@ -294,123 +256,114 @@ Definition get_elem_shared get_elem_shared_loop n x l . -(** [loops::id_mut]: forward function - Source: 'src/loops.rs', lines 135:0-135:50 *) -Definition id_mut (T : Type) (ls : List_t T) : result (List_t T) := - Return ls. - -(** [loops::id_mut]: backward function 0 +(** [loops::id_mut]: Source: 'src/loops.rs', lines 135:0-135:50 *) -Definition id_mut_back - (T : Type) (ls : List_t T) (ret : List_t T) : result (List_t T) := - Return ret +Definition id_mut + (T : Type) (ls : List_t T) : + result ((List_t T) * (List_t T -> result (List_t T))) + := + Return (ls, Return) . -(** [loops::id_shared]: forward function +(** [loops::id_shared]: Source: 'src/loops.rs', lines 139:0-139:45 *) Definition id_shared (T : Type) (ls : List_t T) : result (List_t T) := Return ls . -(** [loops::list_nth_mut_loop_with_id]: loop 0: forward function +(** [loops::list_nth_mut_loop_with_id]: loop 0: Source: 'src/loops.rs', lines 144:0-155:1 *) Fixpoint list_nth_mut_loop_with_id_loop - (T : Type) (n : nat) (i : u32) (ls : List_t T) : result T := - match n with - | O => Fail_ OutOfFuel - | S n0 => - match ls with - | List_Cons x tl => - if i s= 0%u32 - then Return x - else (i0 <- u32_sub i 1%u32; list_nth_mut_loop_with_id_loop T n0 i0 tl) - | List_Nil => Fail_ Failure - end - end -. - -(** [loops::list_nth_mut_loop_with_id]: forward function - Source: 'src/loops.rs', lines 144:0-144:75 *) -Definition list_nth_mut_loop_with_id - (T : Type) (n : nat) (ls : List_t T) (i : u32) : result T := - ls0 <- id_mut T ls; list_nth_mut_loop_with_id_loop T n i ls0 -. - -(** [loops::list_nth_mut_loop_with_id]: loop 0: backward function 0 - Source: 'src/loops.rs', lines 144:0-155:1 *) -Fixpoint list_nth_mut_loop_with_id_loop_back - (T : Type) (n : nat) (i : u32) (ls : List_t T) (ret : T) : - result (List_t T) + (T : Type) (n : nat) (i : u32) (ls : List_t T) : + result (T * (T -> result (List_t T))) := match n with | O => Fail_ OutOfFuel - | S n0 => + | S n1 => match ls with | List_Cons x tl => if i s= 0%u32 - then Return (List_Cons ret tl) + then + let back := fun (ret : T) => Return (List_Cons ret tl) in + Return (x, back) else ( - i0 <- u32_sub i 1%u32; - tl0 <- list_nth_mut_loop_with_id_loop_back T n0 i0 tl ret; - Return (List_Cons x tl0)) + i1 <- u32_sub i 1%u32; + p <- list_nth_mut_loop_with_id_loop T n1 i1 tl; + let (t, back) := p in + let back1 := fun (ret : T) => tl1 <- back ret; Return (List_Cons x tl1) + in + Return (t, back1)) | List_Nil => Fail_ Failure end end . -(** [loops::list_nth_mut_loop_with_id]: backward function 0 +(** [loops::list_nth_mut_loop_with_id]: Source: 'src/loops.rs', lines 144:0-144:75 *) -Definition list_nth_mut_loop_with_id_back - (T : Type) (n : nat) (ls : List_t T) (i : u32) (ret : T) : - result (List_t T) +Definition list_nth_mut_loop_with_id + (T : Type) (n : nat) (ls : List_t T) (i : u32) : + result (T * (T -> result (List_t T))) := - ls0 <- id_mut T ls; - l <- list_nth_mut_loop_with_id_loop_back T n i ls0 ret; - id_mut_back T ls l + p <- id_mut T ls; + let (ls1, id_mut_back) := p in + p1 <- list_nth_mut_loop_with_id_loop T n i ls1; + let (t, back) := p1 in + let back1 := fun (ret : T) => l <- back ret; id_mut_back l in + Return (t, back1) . -(** [loops::list_nth_shared_loop_with_id]: loop 0: forward function +(** [loops::list_nth_shared_loop_with_id]: loop 0: Source: 'src/loops.rs', lines 158:0-169:1 *) Fixpoint list_nth_shared_loop_with_id_loop (T : Type) (n : nat) (i : u32) (ls : List_t T) : result T := match n with | O => Fail_ OutOfFuel - | S n0 => + | S n1 => match ls with | List_Cons x tl => if i s= 0%u32 then Return x else ( - i0 <- u32_sub i 1%u32; list_nth_shared_loop_with_id_loop T n0 i0 tl) + i1 <- u32_sub i 1%u32; list_nth_shared_loop_with_id_loop T n1 i1 tl) | List_Nil => Fail_ Failure end end . -(** [loops::list_nth_shared_loop_with_id]: forward function +(** [loops::list_nth_shared_loop_with_id]: Source: 'src/loops.rs', lines 158:0-158:70 *) Definition list_nth_shared_loop_with_id (T : Type) (n : nat) (ls : List_t T) (i : u32) : result T := - ls0 <- id_shared T ls; list_nth_shared_loop_with_id_loop T n i ls0 + ls1 <- id_shared T ls; list_nth_shared_loop_with_id_loop T n i ls1 . -(** [loops::list_nth_mut_loop_pair]: loop 0: forward function +(** [loops::list_nth_mut_loop_pair]: loop 0: Source: 'src/loops.rs', lines 174:0-195:1 *) Fixpoint list_nth_mut_loop_pair_loop (T : Type) (n : nat) (ls0 : List_t T) (ls1 : List_t T) (i : u32) : - result (T * T) + result ((T * T) * (T -> result (List_t T)) * (T -> result (List_t T))) := match n with | O => Fail_ OutOfFuel - | S n0 => + | S n1 => match ls0 with | List_Cons x0 tl0 => match ls1 with | List_Cons x1 tl1 => if i s= 0%u32 - then Return (x0, x1) + then + let back_'a := fun (ret : T) => Return (List_Cons ret tl0) in + let back_'b := fun (ret : T) => Return (List_Cons ret tl1) in + Return ((x0, x1), back_'a, back_'b) else ( - i0 <- u32_sub i 1%u32; list_nth_mut_loop_pair_loop T n0 tl0 tl1 i0) + i1 <- u32_sub i 1%u32; + t <- list_nth_mut_loop_pair_loop T n1 tl0 tl1 i1; + let '(p, back_'a, back_'b) := t in + let back_'a1 := + fun (ret : T) => tl01 <- back_'a ret; Return (List_Cons x0 tl01) in + let back_'b1 := + fun (ret : T) => tl11 <- back_'b ret; Return (List_Cons x1 tl11) in + Return (p, back_'a1, back_'b1)) | List_Nil => Fail_ Failure end | List_Nil => Fail_ Failure @@ -418,86 +371,18 @@ Fixpoint list_nth_mut_loop_pair_loop end . -(** [loops::list_nth_mut_loop_pair]: forward function +(** [loops::list_nth_mut_loop_pair]: Source: 'src/loops.rs', lines 174:0-178:27 *) Definition list_nth_mut_loop_pair (T : Type) (n : nat) (ls0 : List_t T) (ls1 : List_t T) (i : u32) : - result (T * T) + result ((T * T) * (T -> result (List_t T)) * (T -> result (List_t T))) := - list_nth_mut_loop_pair_loop T n ls0 ls1 i + t <- list_nth_mut_loop_pair_loop T n ls0 ls1 i; + let '(p, back_'a, back_'b) := t in + Return (p, back_'a, back_'b) . -(** [loops::list_nth_mut_loop_pair]: loop 0: backward function 0 - Source: 'src/loops.rs', lines 174:0-195:1 *) -Fixpoint list_nth_mut_loop_pair_loop_back'a - (T : Type) (n : nat) (ls0 : List_t T) (ls1 : List_t T) (i : u32) (ret : T) : - result (List_t T) - := - match n with - | O => Fail_ OutOfFuel - | S n0 => - match ls0 with - | List_Cons x0 tl0 => - match ls1 with - | List_Cons x1 tl1 => - if i s= 0%u32 - then Return (List_Cons ret tl0) - else ( - i0 <- u32_sub i 1%u32; - tl00 <- list_nth_mut_loop_pair_loop_back'a T n0 tl0 tl1 i0 ret; - Return (List_Cons x0 tl00)) - | List_Nil => Fail_ Failure - end - | List_Nil => Fail_ Failure - end - end -. - -(** [loops::list_nth_mut_loop_pair]: backward function 0 - Source: 'src/loops.rs', lines 174:0-178:27 *) -Definition list_nth_mut_loop_pair_back'a - (T : Type) (n : nat) (ls0 : List_t T) (ls1 : List_t T) (i : u32) (ret : T) : - result (List_t T) - := - list_nth_mut_loop_pair_loop_back'a T n ls0 ls1 i ret -. - -(** [loops::list_nth_mut_loop_pair]: loop 0: backward function 1 - Source: 'src/loops.rs', lines 174:0-195:1 *) -Fixpoint list_nth_mut_loop_pair_loop_back'b - (T : Type) (n : nat) (ls0 : List_t T) (ls1 : List_t T) (i : u32) (ret : T) : - result (List_t T) - := - match n with - | O => Fail_ OutOfFuel - | S n0 => - match ls0 with - | List_Cons x0 tl0 => - match ls1 with - | List_Cons x1 tl1 => - if i s= 0%u32 - then Return (List_Cons ret tl1) - else ( - i0 <- u32_sub i 1%u32; - tl10 <- list_nth_mut_loop_pair_loop_back'b T n0 tl0 tl1 i0 ret; - Return (List_Cons x1 tl10)) - | List_Nil => Fail_ Failure - end - | List_Nil => Fail_ Failure - end - end -. - -(** [loops::list_nth_mut_loop_pair]: backward function 1 - Source: 'src/loops.rs', lines 174:0-178:27 *) -Definition list_nth_mut_loop_pair_back'b - (T : Type) (n : nat) (ls0 : List_t T) (ls1 : List_t T) (i : u32) (ret : T) : - result (List_t T) - := - list_nth_mut_loop_pair_loop_back'b T n ls0 ls1 i ret -. - -(** [loops::list_nth_shared_loop_pair]: loop 0: forward function +(** [loops::list_nth_shared_loop_pair]: loop 0: Source: 'src/loops.rs', lines 198:0-219:1 *) Fixpoint list_nth_shared_loop_pair_loop (T : Type) (n : nat) (ls0 : List_t T) (ls1 : List_t T) (i : u32) : @@ -505,7 +390,7 @@ Fixpoint list_nth_shared_loop_pair_loop := match n with | O => Fail_ OutOfFuel - | S n0 => + | S n1 => match ls0 with | List_Cons x0 tl0 => match ls1 with @@ -513,7 +398,7 @@ Fixpoint list_nth_shared_loop_pair_loop if i s= 0%u32 then Return (x0, x1) else ( - i0 <- u32_sub i 1%u32; list_nth_shared_loop_pair_loop T n0 tl0 tl1 i0) + i1 <- u32_sub i 1%u32; list_nth_shared_loop_pair_loop T n1 tl0 tl1 i1) | List_Nil => Fail_ Failure end | List_Nil => Fail_ Failure @@ -521,7 +406,7 @@ Fixpoint list_nth_shared_loop_pair_loop end . -(** [loops::list_nth_shared_loop_pair]: forward function +(** [loops::list_nth_shared_loop_pair]: Source: 'src/loops.rs', lines 198:0-202:19 *) Definition list_nth_shared_loop_pair (T : Type) (n : nat) (ls0 : List_t T) (ls1 : List_t T) (i : u32) : @@ -530,24 +415,36 @@ Definition list_nth_shared_loop_pair list_nth_shared_loop_pair_loop T n ls0 ls1 i . -(** [loops::list_nth_mut_loop_pair_merge]: loop 0: forward function +(** [loops::list_nth_mut_loop_pair_merge]: loop 0: Source: 'src/loops.rs', lines 223:0-238:1 *) Fixpoint list_nth_mut_loop_pair_merge_loop (T : Type) (n : nat) (ls0 : List_t T) (ls1 : List_t T) (i : u32) : - result (T * T) + result ((T * T) * ((T * T) -> result ((List_t T) * (List_t T)))) := match n with | O => Fail_ OutOfFuel - | S n0 => + | S n1 => match ls0 with | List_Cons x0 tl0 => match ls1 with | List_Cons x1 tl1 => if i s= 0%u32 - then Return (x0, x1) + then + let back_'a := + fun (ret : (T * T)) => + let (t, t1) := ret in Return (List_Cons t tl0, List_Cons t1 tl1) + in + Return ((x0, x1), back_'a) else ( - i0 <- u32_sub i 1%u32; - list_nth_mut_loop_pair_merge_loop T n0 tl0 tl1 i0) + i1 <- u32_sub i 1%u32; + p <- list_nth_mut_loop_pair_merge_loop T n1 tl0 tl1 i1; + let (p1, back_'a) := p in + let back_'a1 := + fun (ret : (T * T)) => + p2 <- back_'a ret; + let (tl01, tl11) := p2 in + Return (List_Cons x0 tl01, List_Cons x1 tl11) in + Return (p1, back_'a1)) | List_Nil => Fail_ Failure end | List_Nil => Fail_ Failure @@ -555,54 +452,18 @@ Fixpoint list_nth_mut_loop_pair_merge_loop end . -(** [loops::list_nth_mut_loop_pair_merge]: forward function +(** [loops::list_nth_mut_loop_pair_merge]: Source: 'src/loops.rs', lines 223:0-227:27 *) Definition list_nth_mut_loop_pair_merge (T : Type) (n : nat) (ls0 : List_t T) (ls1 : List_t T) (i : u32) : - result (T * T) + result ((T * T) * ((T * T) -> result ((List_t T) * (List_t T)))) := - list_nth_mut_loop_pair_merge_loop T n ls0 ls1 i + p <- list_nth_mut_loop_pair_merge_loop T n ls0 ls1 i; + let (p1, back_'a) := p in + Return (p1, back_'a) . -(** [loops::list_nth_mut_loop_pair_merge]: loop 0: backward function 0 - Source: 'src/loops.rs', lines 223:0-238:1 *) -Fixpoint list_nth_mut_loop_pair_merge_loop_back - (T : Type) (n : nat) (ls0 : List_t T) (ls1 : List_t T) (i : u32) - (ret : (T * T)) : - result ((List_t T) * (List_t T)) - := - match n with - | O => Fail_ OutOfFuel - | S n0 => - match ls0 with - | List_Cons x0 tl0 => - match ls1 with - | List_Cons x1 tl1 => - if i s= 0%u32 - then let (t, t0) := ret in Return (List_Cons t tl0, List_Cons t0 tl1) - else ( - i0 <- u32_sub i 1%u32; - p <- list_nth_mut_loop_pair_merge_loop_back T n0 tl0 tl1 i0 ret; - let (tl00, tl10) := p in - Return (List_Cons x0 tl00, List_Cons x1 tl10)) - | List_Nil => Fail_ Failure - end - | List_Nil => Fail_ Failure - end - end -. - -(** [loops::list_nth_mut_loop_pair_merge]: backward function 0 - Source: 'src/loops.rs', lines 223:0-227:27 *) -Definition list_nth_mut_loop_pair_merge_back - (T : Type) (n : nat) (ls0 : List_t T) (ls1 : List_t T) (i : u32) - (ret : (T * T)) : - result ((List_t T) * (List_t T)) - := - list_nth_mut_loop_pair_merge_loop_back T n ls0 ls1 i ret -. - -(** [loops::list_nth_shared_loop_pair_merge]: loop 0: forward function +(** [loops::list_nth_shared_loop_pair_merge]: loop 0: Source: 'src/loops.rs', lines 241:0-256:1 *) Fixpoint list_nth_shared_loop_pair_merge_loop (T : Type) (n : nat) (ls0 : List_t T) (ls1 : List_t T) (i : u32) : @@ -610,7 +471,7 @@ Fixpoint list_nth_shared_loop_pair_merge_loop := match n with | O => Fail_ OutOfFuel - | S n0 => + | S n1 => match ls0 with | List_Cons x0 tl0 => match ls1 with @@ -618,8 +479,8 @@ Fixpoint list_nth_shared_loop_pair_merge_loop if i s= 0%u32 then Return (x0, x1) else ( - i0 <- u32_sub i 1%u32; - list_nth_shared_loop_pair_merge_loop T n0 tl0 tl1 i0) + i1 <- u32_sub i 1%u32; + list_nth_shared_loop_pair_merge_loop T n1 tl0 tl1 i1) | List_Nil => Fail_ Failure end | List_Nil => Fail_ Failure @@ -627,7 +488,7 @@ Fixpoint list_nth_shared_loop_pair_merge_loop end . -(** [loops::list_nth_shared_loop_pair_merge]: forward function +(** [loops::list_nth_shared_loop_pair_merge]: Source: 'src/loops.rs', lines 241:0-245:19 *) Definition list_nth_shared_loop_pair_merge (T : Type) (n : nat) (ls0 : List_t T) (ls1 : List_t T) (i : u32) : @@ -636,24 +497,30 @@ Definition list_nth_shared_loop_pair_merge list_nth_shared_loop_pair_merge_loop T n ls0 ls1 i . -(** [loops::list_nth_mut_shared_loop_pair]: loop 0: forward function +(** [loops::list_nth_mut_shared_loop_pair]: loop 0: Source: 'src/loops.rs', lines 259:0-274:1 *) Fixpoint list_nth_mut_shared_loop_pair_loop (T : Type) (n : nat) (ls0 : List_t T) (ls1 : List_t T) (i : u32) : - result (T * T) + result ((T * T) * (T -> result (List_t T))) := match n with | O => Fail_ OutOfFuel - | S n0 => + | S n1 => match ls0 with | List_Cons x0 tl0 => match ls1 with | List_Cons x1 tl1 => if i s= 0%u32 - then Return (x0, x1) + then + let back_'a := fun (ret : T) => Return (List_Cons ret tl0) in + Return ((x0, x1), back_'a) else ( - i0 <- u32_sub i 1%u32; - list_nth_mut_shared_loop_pair_loop T n0 tl0 tl1 i0) + i1 <- u32_sub i 1%u32; + p <- list_nth_mut_shared_loop_pair_loop T n1 tl0 tl1 i1; + let (p1, back_'a) := p in + let back_'a1 := + fun (ret : T) => tl01 <- back_'a ret; Return (List_Cons x0 tl01) in + Return (p1, back_'a1)) | List_Nil => Fail_ Failure end | List_Nil => Fail_ Failure @@ -661,68 +528,41 @@ Fixpoint list_nth_mut_shared_loop_pair_loop end . -(** [loops::list_nth_mut_shared_loop_pair]: forward function +(** [loops::list_nth_mut_shared_loop_pair]: Source: 'src/loops.rs', lines 259:0-263:23 *) Definition list_nth_mut_shared_loop_pair (T : Type) (n : nat) (ls0 : List_t T) (ls1 : List_t T) (i : u32) : - result (T * T) + result ((T * T) * (T -> result (List_t T))) := - list_nth_mut_shared_loop_pair_loop T n ls0 ls1 i + p <- list_nth_mut_shared_loop_pair_loop T n ls0 ls1 i; + let (p1, back_'a) := p in + Return (p1, back_'a) . -(** [loops::list_nth_mut_shared_loop_pair]: loop 0: backward function 0 - Source: 'src/loops.rs', lines 259:0-274:1 *) -Fixpoint list_nth_mut_shared_loop_pair_loop_back - (T : Type) (n : nat) (ls0 : List_t T) (ls1 : List_t T) (i : u32) (ret : T) : - result (List_t T) - := - match n with - | O => Fail_ OutOfFuel - | S n0 => - match ls0 with - | List_Cons x0 tl0 => - match ls1 with - | List_Cons x1 tl1 => - if i s= 0%u32 - then Return (List_Cons ret tl0) - else ( - i0 <- u32_sub i 1%u32; - tl00 <- list_nth_mut_shared_loop_pair_loop_back T n0 tl0 tl1 i0 ret; - Return (List_Cons x0 tl00)) - | List_Nil => Fail_ Failure - end - | List_Nil => Fail_ Failure - end - end -. - -(** [loops::list_nth_mut_shared_loop_pair]: backward function 0 - Source: 'src/loops.rs', lines 259:0-263:23 *) -Definition list_nth_mut_shared_loop_pair_back - (T : Type) (n : nat) (ls0 : List_t T) (ls1 : List_t T) (i : u32) (ret : T) : - result (List_t T) - := - list_nth_mut_shared_loop_pair_loop_back T n ls0 ls1 i ret -. - -(** [loops::list_nth_mut_shared_loop_pair_merge]: loop 0: forward function +(** [loops::list_nth_mut_shared_loop_pair_merge]: loop 0: Source: 'src/loops.rs', lines 278:0-293:1 *) Fixpoint list_nth_mut_shared_loop_pair_merge_loop (T : Type) (n : nat) (ls0 : List_t T) (ls1 : List_t T) (i : u32) : - result (T * T) + result ((T * T) * (T -> result (List_t T))) := match n with | O => Fail_ OutOfFuel - | S n0 => + | S n1 => match ls0 with | List_Cons x0 tl0 => match ls1 with | List_Cons x1 tl1 => if i s= 0%u32 - then Return (x0, x1) + then + let back_'a := fun (ret : T) => Return (List_Cons ret tl0) in + Return ((x0, x1), back_'a) else ( - i0 <- u32_sub i 1%u32; - list_nth_mut_shared_loop_pair_merge_loop T n0 tl0 tl1 i0) + i1 <- u32_sub i 1%u32; + p <- list_nth_mut_shared_loop_pair_merge_loop T n1 tl0 tl1 i1; + let (p1, back_'a) := p in + let back_'a1 := + fun (ret : T) => tl01 <- back_'a ret; Return (List_Cons x0 tl01) in + Return (p1, back_'a1)) | List_Nil => Fail_ Failure end | List_Nil => Fail_ Failure @@ -730,69 +570,41 @@ Fixpoint list_nth_mut_shared_loop_pair_merge_loop end . -(** [loops::list_nth_mut_shared_loop_pair_merge]: forward function +(** [loops::list_nth_mut_shared_loop_pair_merge]: Source: 'src/loops.rs', lines 278:0-282:23 *) Definition list_nth_mut_shared_loop_pair_merge (T : Type) (n : nat) (ls0 : List_t T) (ls1 : List_t T) (i : u32) : - result (T * T) - := - list_nth_mut_shared_loop_pair_merge_loop T n ls0 ls1 i -. - -(** [loops::list_nth_mut_shared_loop_pair_merge]: loop 0: backward function 0 - Source: 'src/loops.rs', lines 278:0-293:1 *) -Fixpoint list_nth_mut_shared_loop_pair_merge_loop_back - (T : Type) (n : nat) (ls0 : List_t T) (ls1 : List_t T) (i : u32) (ret : T) : - result (List_t T) - := - match n with - | O => Fail_ OutOfFuel - | S n0 => - match ls0 with - | List_Cons x0 tl0 => - match ls1 with - | List_Cons x1 tl1 => - if i s= 0%u32 - then Return (List_Cons ret tl0) - else ( - i0 <- u32_sub i 1%u32; - tl00 <- - list_nth_mut_shared_loop_pair_merge_loop_back T n0 tl0 tl1 i0 ret; - Return (List_Cons x0 tl00)) - | List_Nil => Fail_ Failure - end - | List_Nil => Fail_ Failure - end - end -. - -(** [loops::list_nth_mut_shared_loop_pair_merge]: backward function 0 - Source: 'src/loops.rs', lines 278:0-282:23 *) -Definition list_nth_mut_shared_loop_pair_merge_back - (T : Type) (n : nat) (ls0 : List_t T) (ls1 : List_t T) (i : u32) (ret : T) : - result (List_t T) + result ((T * T) * (T -> result (List_t T))) := - list_nth_mut_shared_loop_pair_merge_loop_back T n ls0 ls1 i ret + p <- list_nth_mut_shared_loop_pair_merge_loop T n ls0 ls1 i; + let (p1, back_'a) := p in + Return (p1, back_'a) . -(** [loops::list_nth_shared_mut_loop_pair]: loop 0: forward function +(** [loops::list_nth_shared_mut_loop_pair]: loop 0: Source: 'src/loops.rs', lines 297:0-312:1 *) Fixpoint list_nth_shared_mut_loop_pair_loop (T : Type) (n : nat) (ls0 : List_t T) (ls1 : List_t T) (i : u32) : - result (T * T) + result ((T * T) * (T -> result (List_t T))) := match n with | O => Fail_ OutOfFuel - | S n0 => + | S n1 => match ls0 with | List_Cons x0 tl0 => match ls1 with | List_Cons x1 tl1 => if i s= 0%u32 - then Return (x0, x1) + then + let back_'b := fun (ret : T) => Return (List_Cons ret tl1) in + Return ((x0, x1), back_'b) else ( - i0 <- u32_sub i 1%u32; - list_nth_shared_mut_loop_pair_loop T n0 tl0 tl1 i0) + i1 <- u32_sub i 1%u32; + p <- list_nth_shared_mut_loop_pair_loop T n1 tl0 tl1 i1; + let (p1, back_'b) := p in + let back_'b1 := + fun (ret : T) => tl11 <- back_'b ret; Return (List_Cons x1 tl11) in + Return (p1, back_'b1)) | List_Nil => Fail_ Failure end | List_Nil => Fail_ Failure @@ -800,68 +612,41 @@ Fixpoint list_nth_shared_mut_loop_pair_loop end . -(** [loops::list_nth_shared_mut_loop_pair]: forward function +(** [loops::list_nth_shared_mut_loop_pair]: Source: 'src/loops.rs', lines 297:0-301:23 *) Definition list_nth_shared_mut_loop_pair (T : Type) (n : nat) (ls0 : List_t T) (ls1 : List_t T) (i : u32) : - result (T * T) + result ((T * T) * (T -> result (List_t T))) := - list_nth_shared_mut_loop_pair_loop T n ls0 ls1 i -. - -(** [loops::list_nth_shared_mut_loop_pair]: loop 0: backward function 1 - Source: 'src/loops.rs', lines 297:0-312:1 *) -Fixpoint list_nth_shared_mut_loop_pair_loop_back - (T : Type) (n : nat) (ls0 : List_t T) (ls1 : List_t T) (i : u32) (ret : T) : - result (List_t T) - := - match n with - | O => Fail_ OutOfFuel - | S n0 => - match ls0 with - | List_Cons x0 tl0 => - match ls1 with - | List_Cons x1 tl1 => - if i s= 0%u32 - then Return (List_Cons ret tl1) - else ( - i0 <- u32_sub i 1%u32; - tl10 <- list_nth_shared_mut_loop_pair_loop_back T n0 tl0 tl1 i0 ret; - Return (List_Cons x1 tl10)) - | List_Nil => Fail_ Failure - end - | List_Nil => Fail_ Failure - end - end + p <- list_nth_shared_mut_loop_pair_loop T n ls0 ls1 i; + let (p1, back_'b) := p in + Return (p1, back_'b) . -(** [loops::list_nth_shared_mut_loop_pair]: backward function 1 - Source: 'src/loops.rs', lines 297:0-301:23 *) -Definition list_nth_shared_mut_loop_pair_back - (T : Type) (n : nat) (ls0 : List_t T) (ls1 : List_t T) (i : u32) (ret : T) : - result (List_t T) - := - list_nth_shared_mut_loop_pair_loop_back T n ls0 ls1 i ret -. - -(** [loops::list_nth_shared_mut_loop_pair_merge]: loop 0: forward function +(** [loops::list_nth_shared_mut_loop_pair_merge]: loop 0: Source: 'src/loops.rs', lines 316:0-331:1 *) Fixpoint list_nth_shared_mut_loop_pair_merge_loop (T : Type) (n : nat) (ls0 : List_t T) (ls1 : List_t T) (i : u32) : - result (T * T) + result ((T * T) * (T -> result (List_t T))) := match n with | O => Fail_ OutOfFuel - | S n0 => + | S n1 => match ls0 with | List_Cons x0 tl0 => match ls1 with | List_Cons x1 tl1 => if i s= 0%u32 - then Return (x0, x1) + then + let back_'a := fun (ret : T) => Return (List_Cons ret tl1) in + Return ((x0, x1), back_'a) else ( - i0 <- u32_sub i 1%u32; - list_nth_shared_mut_loop_pair_merge_loop T n0 tl0 tl1 i0) + i1 <- u32_sub i 1%u32; + p <- list_nth_shared_mut_loop_pair_merge_loop T n1 tl0 tl1 i1; + let (p1, back_'a) := p in + let back_'a1 := + fun (ret : T) => tl11 <- back_'a ret; Return (List_Cons x1 tl11) in + Return (p1, back_'a1)) | List_Nil => Fail_ Failure end | List_Nil => Fail_ Failure @@ -869,49 +654,15 @@ Fixpoint list_nth_shared_mut_loop_pair_merge_loop end . -(** [loops::list_nth_shared_mut_loop_pair_merge]: forward function +(** [loops::list_nth_shared_mut_loop_pair_merge]: Source: 'src/loops.rs', lines 316:0-320:23 *) Definition list_nth_shared_mut_loop_pair_merge (T : Type) (n : nat) (ls0 : List_t T) (ls1 : List_t T) (i : u32) : - result (T * T) - := - list_nth_shared_mut_loop_pair_merge_loop T n ls0 ls1 i -. - -(** [loops::list_nth_shared_mut_loop_pair_merge]: loop 0: backward function 0 - Source: 'src/loops.rs', lines 316:0-331:1 *) -Fixpoint list_nth_shared_mut_loop_pair_merge_loop_back - (T : Type) (n : nat) (ls0 : List_t T) (ls1 : List_t T) (i : u32) (ret : T) : - result (List_t T) - := - match n with - | O => Fail_ OutOfFuel - | S n0 => - match ls0 with - | List_Cons x0 tl0 => - match ls1 with - | List_Cons x1 tl1 => - if i s= 0%u32 - then Return (List_Cons ret tl1) - else ( - i0 <- u32_sub i 1%u32; - tl10 <- - list_nth_shared_mut_loop_pair_merge_loop_back T n0 tl0 tl1 i0 ret; - Return (List_Cons x1 tl10)) - | List_Nil => Fail_ Failure - end - | List_Nil => Fail_ Failure - end - end -. - -(** [loops::list_nth_shared_mut_loop_pair_merge]: backward function 0 - Source: 'src/loops.rs', lines 316:0-320:23 *) -Definition list_nth_shared_mut_loop_pair_merge_back - (T : Type) (n : nat) (ls0 : List_t T) (ls1 : List_t T) (i : u32) (ret : T) : - result (List_t T) + result ((T * T) * (T -> result (List_t T))) := - list_nth_shared_mut_loop_pair_merge_loop_back T n ls0 ls1 i ret + p <- list_nth_shared_mut_loop_pair_merge_loop T n ls0 ls1 i; + let (p1, back_'a) := p in + Return (p1, back_'a) . End Loops. diff --git a/tests/coq/misc/NoNestedBorrows.v b/tests/coq/misc/NoNestedBorrows.v index 65164ac5..8857d4b6 100644 --- a/tests/coq/misc/NoNestedBorrows.v +++ b/tests/coq/misc/NoNestedBorrows.v @@ -54,97 +54,97 @@ Inductive Sum_t (T1 T2 : Type) := Arguments Sum_Left { _ _ }. Arguments Sum_Right { _ _ }. -(** [no_nested_borrows::neg_test]: forward function +(** [no_nested_borrows::neg_test]: Source: 'src/no_nested_borrows.rs', lines 48:0-48:30 *) Definition neg_test (x : i32) : result i32 := i32_neg x. -(** [no_nested_borrows::add_u32]: forward function +(** [no_nested_borrows::add_u32]: Source: 'src/no_nested_borrows.rs', lines 54:0-54:37 *) Definition add_u32 (x : u32) (y : u32) : result u32 := u32_add x y. -(** [no_nested_borrows::subs_u32]: forward function +(** [no_nested_borrows::subs_u32]: Source: 'src/no_nested_borrows.rs', lines 60:0-60:38 *) Definition subs_u32 (x : u32) (y : u32) : result u32 := u32_sub x y. -(** [no_nested_borrows::div_u32]: forward function +(** [no_nested_borrows::div_u32]: Source: 'src/no_nested_borrows.rs', lines 66:0-66:37 *) Definition div_u32 (x : u32) (y : u32) : result u32 := u32_div x y. -(** [no_nested_borrows::div_u32_const]: forward function +(** [no_nested_borrows::div_u32_const]: Source: 'src/no_nested_borrows.rs', lines 73:0-73:35 *) Definition div_u32_const (x : u32) : result u32 := u32_div x 2%u32. -(** [no_nested_borrows::rem_u32]: forward function +(** [no_nested_borrows::rem_u32]: Source: 'src/no_nested_borrows.rs', lines 78:0-78:37 *) Definition rem_u32 (x : u32) (y : u32) : result u32 := u32_rem x y. -(** [no_nested_borrows::mul_u32]: forward function +(** [no_nested_borrows::mul_u32]: Source: 'src/no_nested_borrows.rs', lines 82:0-82:37 *) Definition mul_u32 (x : u32) (y : u32) : result u32 := u32_mul x y. -(** [no_nested_borrows::add_i32]: forward function +(** [no_nested_borrows::add_i32]: Source: 'src/no_nested_borrows.rs', lines 88:0-88:37 *) Definition add_i32 (x : i32) (y : i32) : result i32 := i32_add x y. -(** [no_nested_borrows::subs_i32]: forward function +(** [no_nested_borrows::subs_i32]: Source: 'src/no_nested_borrows.rs', lines 92:0-92:38 *) Definition subs_i32 (x : i32) (y : i32) : result i32 := i32_sub x y. -(** [no_nested_borrows::div_i32]: forward function +(** [no_nested_borrows::div_i32]: Source: 'src/no_nested_borrows.rs', lines 96:0-96:37 *) Definition div_i32 (x : i32) (y : i32) : result i32 := i32_div x y. -(** [no_nested_borrows::div_i32_const]: forward function +(** [no_nested_borrows::div_i32_const]: Source: 'src/no_nested_borrows.rs', lines 100:0-100:35 *) Definition div_i32_const (x : i32) : result i32 := i32_div x 2%i32. -(** [no_nested_borrows::rem_i32]: forward function +(** [no_nested_borrows::rem_i32]: Source: 'src/no_nested_borrows.rs', lines 104:0-104:37 *) Definition rem_i32 (x : i32) (y : i32) : result i32 := i32_rem x y. -(** [no_nested_borrows::mul_i32]: forward function +(** [no_nested_borrows::mul_i32]: Source: 'src/no_nested_borrows.rs', lines 108:0-108:37 *) Definition mul_i32 (x : i32) (y : i32) : result i32 := i32_mul x y. -(** [no_nested_borrows::mix_arith_u32]: forward function +(** [no_nested_borrows::mix_arith_u32]: Source: 'src/no_nested_borrows.rs', lines 112:0-112:51 *) Definition mix_arith_u32 (x : u32) (y : u32) (z : u32) : result u32 := i <- u32_add x y; - i0 <- u32_div x y; - i1 <- u32_mul i i0; - i2 <- u32_rem z y; - i3 <- u32_sub x i2; - i4 <- u32_add i1 i3; - i5 <- u32_add x y; - i6 <- u32_add i5 z; - u32_rem i4 i6 + i1 <- u32_div x y; + i2 <- u32_mul i i1; + i3 <- u32_rem z y; + i4 <- u32_sub x i3; + i5 <- u32_add i2 i4; + i6 <- u32_add x y; + i7 <- u32_add i6 z; + u32_rem i5 i7 . -(** [no_nested_borrows::mix_arith_i32]: forward function +(** [no_nested_borrows::mix_arith_i32]: Source: 'src/no_nested_borrows.rs', lines 116:0-116:51 *) Definition mix_arith_i32 (x : i32) (y : i32) (z : i32) : result i32 := i <- i32_add x y; - i0 <- i32_div x y; - i1 <- i32_mul i i0; - i2 <- i32_rem z y; - i3 <- i32_sub x i2; - i4 <- i32_add i1 i3; - i5 <- i32_add x y; - i6 <- i32_add i5 z; - i32_rem i4 i6 + i1 <- i32_div x y; + i2 <- i32_mul i i1; + i3 <- i32_rem z y; + i4 <- i32_sub x i3; + i5 <- i32_add i2 i4; + i6 <- i32_add x y; + i7 <- i32_add i6 z; + i32_rem i5 i7 . (** [no_nested_borrows::CONST0] @@ -157,22 +157,22 @@ Definition const0_c : usize := const0_body%global. Definition const1_body : result usize := usize_mul 2%usize 2%usize. Definition const1_c : usize := const1_body%global. -(** [no_nested_borrows::cast_u32_to_i32]: forward function +(** [no_nested_borrows::cast_u32_to_i32]: Source: 'src/no_nested_borrows.rs', lines 128:0-128:37 *) Definition cast_u32_to_i32 (x : u32) : result i32 := scalar_cast U32 I32 x. -(** [no_nested_borrows::cast_bool_to_i32]: forward function +(** [no_nested_borrows::cast_bool_to_i32]: Source: 'src/no_nested_borrows.rs', lines 132:0-132:39 *) Definition cast_bool_to_i32 (x : bool) : result i32 := scalar_cast_bool I32 x. -(** [no_nested_borrows::cast_bool_to_bool]: forward function +(** [no_nested_borrows::cast_bool_to_bool]: Source: 'src/no_nested_borrows.rs', lines 137:0-137:41 *) Definition cast_bool_to_bool (x : bool) : result bool := Return x. -(** [no_nested_borrows::test2]: forward function +(** [no_nested_borrows::test2]: Source: 'src/no_nested_borrows.rs', lines 142:0-142:14 *) Definition test2 : result unit := _ <- u32_add 23%u32 44%u32; Return tt. @@ -180,13 +180,13 @@ Definition test2 : result unit := (** Unit test for [no_nested_borrows::test2] *) Check (test2 )%return. -(** [no_nested_borrows::get_max]: forward function +(** [no_nested_borrows::get_max]: Source: 'src/no_nested_borrows.rs', lines 154:0-154:37 *) Definition get_max (x : u32) (y : u32) : result u32 := if x s>= y then Return x else Return y . -(** [no_nested_borrows::test3]: forward function +(** [no_nested_borrows::test3]: Source: 'src/no_nested_borrows.rs', lines 162:0-162:14 *) Definition test3 : result unit := x <- get_max 4%u32 3%u32; @@ -198,7 +198,7 @@ Definition test3 : result unit := (** Unit test for [no_nested_borrows::test3] *) Check (test3 )%return. -(** [no_nested_borrows::test_neg1]: forward function +(** [no_nested_borrows::test_neg1]: Source: 'src/no_nested_borrows.rs', lines 169:0-169:18 *) Definition test_neg1 : result unit := y <- i32_neg 3%i32; if negb (y s= (-3)%i32) then Fail_ Failure else Return tt @@ -207,7 +207,7 @@ Definition test_neg1 : result unit := (** Unit test for [no_nested_borrows::test_neg1] *) Check (test_neg1 )%return. -(** [no_nested_borrows::refs_test1]: forward function +(** [no_nested_borrows::refs_test1]: Source: 'src/no_nested_borrows.rs', lines 176:0-176:19 *) Definition refs_test1 : result unit := if negb (1%i32 s= 1%i32) then Fail_ Failure else Return tt @@ -216,7 +216,7 @@ Definition refs_test1 : result unit := (** Unit test for [no_nested_borrows::refs_test1] *) Check (refs_test1 )%return. -(** [no_nested_borrows::refs_test2]: forward function +(** [no_nested_borrows::refs_test2]: Source: 'src/no_nested_borrows.rs', lines 187:0-187:19 *) Definition refs_test2 : result unit := if negb (2%i32 s= 2%i32) @@ -233,7 +233,7 @@ Definition refs_test2 : result unit := (** Unit test for [no_nested_borrows::refs_test2] *) Check (refs_test2 )%return. -(** [no_nested_borrows::test_list1]: forward function +(** [no_nested_borrows::test_list1]: Source: 'src/no_nested_borrows.rs', lines 203:0-203:19 *) Definition test_list1 : result unit := Return tt. @@ -241,36 +241,37 @@ Definition test_list1 : result unit := (** Unit test for [no_nested_borrows::test_list1] *) Check (test_list1 )%return. -(** [no_nested_borrows::test_box1]: forward function +(** [no_nested_borrows::test_box1]: Source: 'src/no_nested_borrows.rs', lines 208:0-208:18 *) Definition test_box1 : result unit := - let b := 0%i32 in - b0 <- alloc_boxed_Box_deref_mut_back i32 b 1%i32; - x <- alloc_boxed_Box_deref i32 b0; + p <- alloc_boxed_Box_deref_mut i32 0%i32; + let (_, deref_mut_back) := p in + b <- deref_mut_back 1%i32; + x <- alloc_boxed_Box_deref i32 b; if negb (x s= 1%i32) then Fail_ Failure else Return tt . (** Unit test for [no_nested_borrows::test_box1] *) Check (test_box1 )%return. -(** [no_nested_borrows::copy_int]: forward function +(** [no_nested_borrows::copy_int]: Source: 'src/no_nested_borrows.rs', lines 218:0-218:30 *) Definition copy_int (x : i32) : result i32 := Return x. -(** [no_nested_borrows::test_unreachable]: forward function +(** [no_nested_borrows::test_unreachable]: Source: 'src/no_nested_borrows.rs', lines 224:0-224:32 *) Definition test_unreachable (b : bool) : result unit := if b then Fail_ Failure else Return tt . -(** [no_nested_borrows::test_panic]: forward function +(** [no_nested_borrows::test_panic]: Source: 'src/no_nested_borrows.rs', lines 232:0-232:26 *) Definition test_panic (b : bool) : result unit := if b then Fail_ Failure else Return tt . -(** [no_nested_borrows::test_copy_int]: forward function +(** [no_nested_borrows::test_copy_int]: Source: 'src/no_nested_borrows.rs', lines 239:0-239:22 *) Definition test_copy_int : result unit := y <- copy_int 0%i32; if negb (0%i32 s= y) then Fail_ Failure else Return tt @@ -279,24 +280,23 @@ Definition test_copy_int : result unit := (** Unit test for [no_nested_borrows::test_copy_int] *) Check (test_copy_int )%return. -(** [no_nested_borrows::is_cons]: forward function +(** [no_nested_borrows::is_cons]: Source: 'src/no_nested_borrows.rs', lines 246:0-246:38 *) Definition is_cons (T : Type) (l : List_t T) : result bool := - match l with | List_Cons t l0 => Return true | List_Nil => Return false end + match l with | List_Cons _ _ => Return true | List_Nil => Return false end . -(** [no_nested_borrows::test_is_cons]: forward function +(** [no_nested_borrows::test_is_cons]: Source: 'src/no_nested_borrows.rs', lines 253:0-253:21 *) Definition test_is_cons : result unit := - let l := List_Nil in - b <- is_cons i32 (List_Cons 0%i32 l); + b <- is_cons i32 (List_Cons 0%i32 List_Nil); if negb b then Fail_ Failure else Return tt . (** Unit test for [no_nested_borrows::test_is_cons] *) Check (test_is_cons )%return. -(** [no_nested_borrows::split_list]: forward function +(** [no_nested_borrows::split_list]: Source: 'src/no_nested_borrows.rs', lines 259:0-259:48 *) Definition split_list (T : Type) (l : List_t T) : result (T * (List_t T)) := match l with @@ -305,11 +305,10 @@ Definition split_list (T : Type) (l : List_t T) : result (T * (List_t T)) := end . -(** [no_nested_borrows::test_split_list]: forward function +(** [no_nested_borrows::test_split_list]: Source: 'src/no_nested_borrows.rs', lines 267:0-267:24 *) Definition test_split_list : result unit := - let l := List_Nil in - p <- split_list i32 (List_Cons 0%i32 l); + p <- split_list i32 (List_Cons 0%i32 List_Nil); let (hd, _) := p in if negb (hd s= 0%i32) then Fail_ Failure else Return tt . @@ -317,29 +316,26 @@ Definition test_split_list : result unit := (** Unit test for [no_nested_borrows::test_split_list] *) Check (test_split_list )%return. -(** [no_nested_borrows::choose]: forward function +(** [no_nested_borrows::choose]: Source: 'src/no_nested_borrows.rs', lines 274:0-274:70 *) -Definition choose (T : Type) (b : bool) (x : T) (y : T) : result T := - if b then Return x else Return y +Definition choose + (T : Type) (b : bool) (x : T) (y : T) : result (T * (T -> result (T * T))) := + if b + then let back_'a := fun (ret : T) => Return (ret, y) in Return (x, back_'a) + else let back_'a := fun (ret : T) => Return (x, ret) in Return (y, back_'a) . -(** [no_nested_borrows::choose]: backward function 0 - Source: 'src/no_nested_borrows.rs', lines 274:0-274:70 *) -Definition choose_back - (T : Type) (b : bool) (x : T) (y : T) (ret : T) : result (T * T) := - if b then Return (ret, y) else Return (x, ret) -. - -(** [no_nested_borrows::choose_test]: forward function +(** [no_nested_borrows::choose_test]: Source: 'src/no_nested_borrows.rs', lines 282:0-282:20 *) Definition choose_test : result unit := - z <- choose i32 true 0%i32 0%i32; - z0 <- i32_add z 1%i32; - if negb (z0 s= 1%i32) + p <- choose i32 true 0%i32 0%i32; + let (z, choose_back) := p in + z1 <- i32_add z 1%i32; + if negb (z1 s= 1%i32) then Fail_ Failure else ( - p <- choose_back i32 true 0%i32 0%i32 z0; - let (x, y) := p in + p1 <- choose_back z1; + let (x, y) := p1 in if negb (x s= 1%i32) then Fail_ Failure else if negb (y s= 0%i32) then Fail_ Failure else Return tt) @@ -348,7 +344,7 @@ Definition choose_test : result unit := (** Unit test for [no_nested_borrows::choose_test] *) Check (choose_test )%return. -(** [no_nested_borrows::test_char]: forward function +(** [no_nested_borrows::test_char]: Source: 'src/no_nested_borrows.rs', lines 294:0-294:26 *) Definition test_char : result char := Return (char_of_byte Coq.Init.Byte.x61). @@ -372,56 +368,52 @@ Arguments Tree_Node { _ }. Arguments NodeElem_Cons { _ }. Arguments NodeElem_Nil { _ }. -(** [no_nested_borrows::list_length]: forward function +(** [no_nested_borrows::list_length]: Source: 'src/no_nested_borrows.rs', lines 339:0-339:48 *) Fixpoint list_length (T : Type) (l : List_t T) : result u32 := match l with - | List_Cons t l1 => i <- list_length T l1; u32_add 1%u32 i + | List_Cons _ l1 => i <- list_length T l1; u32_add 1%u32 i | List_Nil => Return 0%u32 end . -(** [no_nested_borrows::list_nth_shared]: forward function +(** [no_nested_borrows::list_nth_shared]: Source: 'src/no_nested_borrows.rs', lines 347:0-347:62 *) Fixpoint list_nth_shared (T : Type) (l : List_t T) (i : u32) : result T := match l with | List_Cons x tl => if i s= 0%u32 then Return x - else (i0 <- u32_sub i 1%u32; list_nth_shared T tl i0) + else (i1 <- u32_sub i 1%u32; list_nth_shared T tl i1) | List_Nil => Fail_ Failure end . -(** [no_nested_borrows::list_nth_mut]: forward function +(** [no_nested_borrows::list_nth_mut]: Source: 'src/no_nested_borrows.rs', lines 363:0-363:67 *) -Fixpoint list_nth_mut (T : Type) (l : List_t T) (i : u32) : result T := +Fixpoint list_nth_mut + (T : Type) (l : List_t T) (i : u32) : + result (T * (T -> result (List_t T))) + := match l with | List_Cons x tl => if i s= 0%u32 - then Return x - else (i0 <- u32_sub i 1%u32; list_nth_mut T tl i0) - | List_Nil => Fail_ Failure - end -. - -(** [no_nested_borrows::list_nth_mut]: backward function 0 - Source: 'src/no_nested_borrows.rs', lines 363:0-363:67 *) -Fixpoint list_nth_mut_back - (T : Type) (l : List_t T) (i : u32) (ret : T) : result (List_t T) := - match l with - | List_Cons x tl => - if i s= 0%u32 - then Return (List_Cons ret tl) + then + let back_'a := fun (ret : T) => Return (List_Cons ret tl) in + Return (x, back_'a) else ( - i0 <- u32_sub i 1%u32; - tl0 <- list_nth_mut_back T tl i0 ret; - Return (List_Cons x tl0)) + i1 <- u32_sub i 1%u32; + p <- list_nth_mut T tl i1; + let (t, list_nth_mut_back) := p in + let back_'a := + fun (ret : T) => tl1 <- list_nth_mut_back ret; Return (List_Cons x tl1) + in + Return (t, back_'a)) | List_Nil => Fail_ Failure end . -(** [no_nested_borrows::list_rev_aux]: forward function +(** [no_nested_borrows::list_rev_aux]: Source: 'src/no_nested_borrows.rs', lines 379:0-379:63 *) Fixpoint list_rev_aux (T : Type) (li : List_t T) (lo : List_t T) : result (List_t T) := @@ -431,116 +423,91 @@ Fixpoint list_rev_aux end . -(** [no_nested_borrows::list_rev]: merged forward/backward function - (there is a single backward function, and the forward function returns ()) +(** [no_nested_borrows::list_rev]: Source: 'src/no_nested_borrows.rs', lines 393:0-393:42 *) Definition list_rev (T : Type) (l : List_t T) : result (List_t T) := - let li := core_mem_replace (List_t T) l List_Nil in + let (li, _) := core_mem_replace (List_t T) l List_Nil in list_rev_aux T li List_Nil . -(** [no_nested_borrows::test_list_functions]: forward function +(** [no_nested_borrows::test_list_functions]: Source: 'src/no_nested_borrows.rs', lines 398:0-398:28 *) Definition test_list_functions : result unit := - let l := List_Nil in - let l0 := List_Cons 2%i32 l in - let l1 := List_Cons 1%i32 l0 in + let l := List_Cons 2%i32 List_Nil in + let l1 := List_Cons 1%i32 l in i <- list_length i32 (List_Cons 0%i32 l1); if negb (i s= 3%u32) then Fail_ Failure else ( - i0 <- list_nth_shared i32 (List_Cons 0%i32 l1) 0%u32; - if negb (i0 s= 0%i32) + i1 <- list_nth_shared i32 (List_Cons 0%i32 l1) 0%u32; + if negb (i1 s= 0%i32) then Fail_ Failure else ( - i1 <- list_nth_shared i32 (List_Cons 0%i32 l1) 1%u32; - if negb (i1 s= 1%i32) + i2 <- list_nth_shared i32 (List_Cons 0%i32 l1) 1%u32; + if negb (i2 s= 1%i32) then Fail_ Failure else ( - i2 <- list_nth_shared i32 (List_Cons 0%i32 l1) 2%u32; - if negb (i2 s= 2%i32) + i3 <- list_nth_shared i32 (List_Cons 0%i32 l1) 2%u32; + if negb (i3 s= 2%i32) then Fail_ Failure else ( - ls <- list_nth_mut_back i32 (List_Cons 0%i32 l1) 1%u32 3%i32; - i3 <- list_nth_shared i32 ls 0%u32; - if negb (i3 s= 0%i32) + p <- list_nth_mut i32 (List_Cons 0%i32 l1) 1%u32; + let (_, list_nth_mut_back) := p in + ls <- list_nth_mut_back 3%i32; + i4 <- list_nth_shared i32 ls 0%u32; + if negb (i4 s= 0%i32) then Fail_ Failure else ( - i4 <- list_nth_shared i32 ls 1%u32; - if negb (i4 s= 3%i32) + i5 <- list_nth_shared i32 ls 1%u32; + if negb (i5 s= 3%i32) then Fail_ Failure else ( - i5 <- list_nth_shared i32 ls 2%u32; - if negb (i5 s= 2%i32) then Fail_ Failure else Return tt)))))) + i6 <- list_nth_shared i32 ls 2%u32; + if negb (i6 s= 2%i32) then Fail_ Failure else Return tt)))))) . (** Unit test for [no_nested_borrows::test_list_functions] *) Check (test_list_functions )%return. -(** [no_nested_borrows::id_mut_pair1]: forward function +(** [no_nested_borrows::id_mut_pair1]: Source: 'src/no_nested_borrows.rs', lines 414:0-414:89 *) -Definition id_mut_pair1 (T1 T2 : Type) (x : T1) (y : T2) : result (T1 * T2) := - Return (x, y) -. - -(** [no_nested_borrows::id_mut_pair1]: backward function 0 - Source: 'src/no_nested_borrows.rs', lines 414:0-414:89 *) -Definition id_mut_pair1_back - (T1 T2 : Type) (x : T1) (y : T2) (ret : (T1 * T2)) : result (T1 * T2) := - let (t, t0) := ret in Return (t, t0) -. - -(** [no_nested_borrows::id_mut_pair2]: forward function - Source: 'src/no_nested_borrows.rs', lines 418:0-418:88 *) -Definition id_mut_pair2 (T1 T2 : Type) (p : (T1 * T2)) : result (T1 * T2) := - let (t, t0) := p in Return (t, t0) +Definition id_mut_pair1 + (T1 T2 : Type) (x : T1) (y : T2) : + result ((T1 * T2) * ((T1 * T2) -> result (T1 * T2))) + := + let back_'a := fun (ret : (T1 * T2)) => let (t, t1) := ret in Return (t, t1) + in + Return ((x, y), back_'a) . -(** [no_nested_borrows::id_mut_pair2]: backward function 0 +(** [no_nested_borrows::id_mut_pair2]: Source: 'src/no_nested_borrows.rs', lines 418:0-418:88 *) -Definition id_mut_pair2_back - (T1 T2 : Type) (p : (T1 * T2)) (ret : (T1 * T2)) : result (T1 * T2) := - let (t, t0) := ret in Return (t, t0) +Definition id_mut_pair2 + (T1 T2 : Type) (p : (T1 * T2)) : + result ((T1 * T2) * ((T1 * T2) -> result (T1 * T2))) + := + let (t, t1) := p in + let back_'a := + fun (ret : (T1 * T2)) => let (t2, t3) := ret in Return (t2, t3) in + Return ((t, t1), back_'a) . -(** [no_nested_borrows::id_mut_pair3]: forward function +(** [no_nested_borrows::id_mut_pair3]: Source: 'src/no_nested_borrows.rs', lines 422:0-422:93 *) -Definition id_mut_pair3 (T1 T2 : Type) (x : T1) (y : T2) : result (T1 * T2) := - Return (x, y) -. - -(** [no_nested_borrows::id_mut_pair3]: backward function 0 - Source: 'src/no_nested_borrows.rs', lines 422:0-422:93 *) -Definition id_mut_pair3_back'a - (T1 T2 : Type) (x : T1) (y : T2) (ret : T1) : result T1 := - Return ret -. - -(** [no_nested_borrows::id_mut_pair3]: backward function 1 - Source: 'src/no_nested_borrows.rs', lines 422:0-422:93 *) -Definition id_mut_pair3_back'b - (T1 T2 : Type) (x : T1) (y : T2) (ret : T2) : result T2 := - Return ret -. - -(** [no_nested_borrows::id_mut_pair4]: forward function - Source: 'src/no_nested_borrows.rs', lines 426:0-426:92 *) -Definition id_mut_pair4 (T1 T2 : Type) (p : (T1 * T2)) : result (T1 * T2) := - let (t, t0) := p in Return (t, t0) +Definition id_mut_pair3 + (T1 T2 : Type) (x : T1) (y : T2) : + result ((T1 * T2) * (T1 -> result T1) * (T2 -> result T2)) + := + Return ((x, y), Return, Return) . -(** [no_nested_borrows::id_mut_pair4]: backward function 0 +(** [no_nested_borrows::id_mut_pair4]: Source: 'src/no_nested_borrows.rs', lines 426:0-426:92 *) -Definition id_mut_pair4_back'a - (T1 T2 : Type) (p : (T1 * T2)) (ret : T1) : result T1 := - Return ret -. - -(** [no_nested_borrows::id_mut_pair4]: backward function 1 - Source: 'src/no_nested_borrows.rs', lines 426:0-426:92 *) -Definition id_mut_pair4_back'b - (T1 T2 : Type) (p : (T1 * T2)) (ret : T2) : result T2 := - Return ret +Definition id_mut_pair4 + (T1 T2 : Type) (p : (T1 * T2)) : + result ((T1 * T2) * (T1 -> result T1) * (T2 -> result T2)) + := + let (t, t1) := p in Return ((t, t1), Return, Return) . (** [no_nested_borrows::StructWithTuple] @@ -554,19 +521,19 @@ mkStructWithTuple_t { Arguments mkStructWithTuple_t { _ _ }. Arguments structWithTuple_p { _ _ }. -(** [no_nested_borrows::new_tuple1]: forward function +(** [no_nested_borrows::new_tuple1]: Source: 'src/no_nested_borrows.rs', lines 437:0-437:48 *) Definition new_tuple1 : result (StructWithTuple_t u32 u32) := Return {| structWithTuple_p := (1%u32, 2%u32) |} . -(** [no_nested_borrows::new_tuple2]: forward function +(** [no_nested_borrows::new_tuple2]: Source: 'src/no_nested_borrows.rs', lines 441:0-441:48 *) Definition new_tuple2 : result (StructWithTuple_t i16 i16) := Return {| structWithTuple_p := (1%i16, 2%i16) |} . -(** [no_nested_borrows::new_tuple3]: forward function +(** [no_nested_borrows::new_tuple3]: Source: 'src/no_nested_borrows.rs', lines 445:0-445:48 *) Definition new_tuple3 : result (StructWithTuple_t u64 i64) := Return {| structWithTuple_p := (1%u64, 2%i64) |} @@ -583,13 +550,13 @@ mkStructWithPair_t { Arguments mkStructWithPair_t { _ _ }. Arguments structWithPair_p { _ _ }. -(** [no_nested_borrows::new_pair1]: forward function +(** [no_nested_borrows::new_pair1]: Source: 'src/no_nested_borrows.rs', lines 454:0-454:46 *) Definition new_pair1 : result (StructWithPair_t u32 u32) := Return {| structWithPair_p := {| pair_x := 1%u32; pair_y := 2%u32 |} |} . -(** [no_nested_borrows::test_constants]: forward function +(** [no_nested_borrows::test_constants]: Source: 'src/no_nested_borrows.rs', lines 462:0-462:23 *) Definition test_constants : result unit := swt <- new_tuple1; @@ -597,14 +564,14 @@ Definition test_constants : result unit := if negb (i s= 1%u32) then Fail_ Failure else ( - swt0 <- new_tuple2; - let (i0, _) := swt0.(structWithTuple_p) in - if negb (i0 s= 1%i16) + swt1 <- new_tuple2; + let (i1, _) := swt1.(structWithTuple_p) in + if negb (i1 s= 1%i16) then Fail_ Failure else ( - swt1 <- new_tuple3; - let (i1, _) := swt1.(structWithTuple_p) in - if negb (i1 s= 1%u64) + swt2 <- new_tuple3; + let (i2, _) := swt2.(structWithTuple_p) in + if negb (i2 s= 1%u64) then Fail_ Failure else ( swp <- new_pair1; @@ -616,7 +583,7 @@ Definition test_constants : result unit := (** Unit test for [no_nested_borrows::test_constants] *) Check (test_constants )%return. -(** [no_nested_borrows::test_weird_borrows1]: forward function +(** [no_nested_borrows::test_weird_borrows1]: Source: 'src/no_nested_borrows.rs', lines 471:0-471:28 *) Definition test_weird_borrows1 : result unit := Return tt. @@ -624,65 +591,79 @@ Definition test_weird_borrows1 : result unit := (** Unit test for [no_nested_borrows::test_weird_borrows1] *) Check (test_weird_borrows1 )%return. -(** [no_nested_borrows::test_mem_replace]: merged forward/backward function - (there is a single backward function, and the forward function returns ()) +(** [no_nested_borrows::test_mem_replace]: Source: 'src/no_nested_borrows.rs', lines 481:0-481:37 *) Definition test_mem_replace (px : u32) : result u32 := - let y := core_mem_replace u32 px 1%u32 in + let (y, _) := core_mem_replace u32 px 1%u32 in if negb (y s= 0%u32) then Fail_ Failure else Return 2%u32 . -(** [no_nested_borrows::test_shared_borrow_bool1]: forward function +(** [no_nested_borrows::test_shared_borrow_bool1]: Source: 'src/no_nested_borrows.rs', lines 488:0-488:47 *) Definition test_shared_borrow_bool1 (b : bool) : result u32 := if b then Return 0%u32 else Return 1%u32 . -(** [no_nested_borrows::test_shared_borrow_bool2]: forward function +(** [no_nested_borrows::test_shared_borrow_bool2]: Source: 'src/no_nested_borrows.rs', lines 501:0-501:40 *) Definition test_shared_borrow_bool2 : result u32 := Return 0%u32. -(** [no_nested_borrows::test_shared_borrow_enum1]: forward function +(** [no_nested_borrows::test_shared_borrow_enum1]: Source: 'src/no_nested_borrows.rs', lines 516:0-516:52 *) Definition test_shared_borrow_enum1 (l : List_t u32) : result u32 := - match l with | List_Cons i l0 => Return 1%u32 | List_Nil => Return 0%u32 end + match l with | List_Cons _ _ => Return 1%u32 | List_Nil => Return 0%u32 end . -(** [no_nested_borrows::test_shared_borrow_enum2]: forward function +(** [no_nested_borrows::test_shared_borrow_enum2]: Source: 'src/no_nested_borrows.rs', lines 528:0-528:40 *) Definition test_shared_borrow_enum2 : result u32 := Return 0%u32. -(** [no_nested_borrows::Tuple] +(** [no_nested_borrows::incr]: Source: 'src/no_nested_borrows.rs', lines 539:0-539:24 *) +Definition incr (x : u32) : result u32 := + u32_add x 1%u32. + +(** [no_nested_borrows::call_incr]: + Source: 'src/no_nested_borrows.rs', lines 543:0-543:35 *) +Definition call_incr (x : u32) : result u32 := + incr x. + +(** [no_nested_borrows::read_then_incr]: + Source: 'src/no_nested_borrows.rs', lines 548:0-548:41 *) +Definition read_then_incr (x : u32) : result (u32 * u32) := + x1 <- u32_add x 1%u32; Return (x, x1) +. + +(** [no_nested_borrows::Tuple] + Source: 'src/no_nested_borrows.rs', lines 554:0-554:24 *) Definition Tuple_t (T1 T2 : Type) : Type := T1 * T2. -(** [no_nested_borrows::use_tuple_struct]: merged forward/backward function - (there is a single backward function, and the forward function returns ()) - Source: 'src/no_nested_borrows.rs', lines 541:0-541:48 *) +(** [no_nested_borrows::use_tuple_struct]: + Source: 'src/no_nested_borrows.rs', lines 556:0-556:48 *) Definition use_tuple_struct (x : Tuple_t u32 u32) : result (Tuple_t u32 u32) := let (_, i) := x in Return (1%u32, i) . -(** [no_nested_borrows::create_tuple_struct]: forward function - Source: 'src/no_nested_borrows.rs', lines 545:0-545:61 *) +(** [no_nested_borrows::create_tuple_struct]: + Source: 'src/no_nested_borrows.rs', lines 560:0-560:61 *) Definition create_tuple_struct (x : u32) (y : u64) : result (Tuple_t u32 u64) := Return (x, y) . (** [no_nested_borrows::IdType] - Source: 'src/no_nested_borrows.rs', lines 550:0-550:20 *) + Source: 'src/no_nested_borrows.rs', lines 565:0-565:20 *) Definition IdType_t (T : Type) : Type := T. -(** [no_nested_borrows::use_id_type]: forward function - Source: 'src/no_nested_borrows.rs', lines 552:0-552:40 *) +(** [no_nested_borrows::use_id_type]: + Source: 'src/no_nested_borrows.rs', lines 567:0-567:40 *) Definition use_id_type (T : Type) (x : IdType_t T) : result T := Return x. -(** [no_nested_borrows::create_id_type]: forward function - Source: 'src/no_nested_borrows.rs', lines 556:0-556:43 *) +(** [no_nested_borrows::create_id_type]: + Source: 'src/no_nested_borrows.rs', lines 571:0-571:43 *) Definition create_id_type (T : Type) (x : T) : result (IdType_t T) := Return x. diff --git a/tests/coq/misc/Paper.v b/tests/coq/misc/Paper.v index 6b110193..769cf34c 100644 --- a/tests/coq/misc/Paper.v +++ b/tests/coq/misc/Paper.v @@ -8,44 +8,40 @@ Import ListNotations. Local Open Scope Primitives_scope. Module Paper. -(** [paper::ref_incr]: merged forward/backward function - (there is a single backward function, and the forward function returns ()) +(** [paper::ref_incr]: Source: 'src/paper.rs', lines 4:0-4:28 *) Definition ref_incr (x : i32) : result i32 := i32_add x 1%i32. -(** [paper::test_incr]: forward function +(** [paper::test_incr]: Source: 'src/paper.rs', lines 8:0-8:18 *) Definition test_incr : result unit := - x <- ref_incr 0%i32; if negb (x s= 1%i32) then Fail_ Failure else Return tt + i <- ref_incr 0%i32; if negb (i s= 1%i32) then Fail_ Failure else Return tt . (** Unit test for [paper::test_incr] *) Check (test_incr )%return. -(** [paper::choose]: forward function +(** [paper::choose]: Source: 'src/paper.rs', lines 15:0-15:70 *) -Definition choose (T : Type) (b : bool) (x : T) (y : T) : result T := - if b then Return x else Return y +Definition choose + (T : Type) (b : bool) (x : T) (y : T) : result (T * (T -> result (T * T))) := + if b + then let back_'a := fun (ret : T) => Return (ret, y) in Return (x, back_'a) + else let back_'a := fun (ret : T) => Return (x, ret) in Return (y, back_'a) . -(** [paper::choose]: backward function 0 - Source: 'src/paper.rs', lines 15:0-15:70 *) -Definition choose_back - (T : Type) (b : bool) (x : T) (y : T) (ret : T) : result (T * T) := - if b then Return (ret, y) else Return (x, ret) -. - -(** [paper::test_choose]: forward function +(** [paper::test_choose]: Source: 'src/paper.rs', lines 23:0-23:20 *) Definition test_choose : result unit := - z <- choose i32 true 0%i32 0%i32; - z0 <- i32_add z 1%i32; - if negb (z0 s= 1%i32) + p <- choose i32 true 0%i32 0%i32; + let (z, choose_back) := p in + z1 <- i32_add z 1%i32; + if negb (z1 s= 1%i32) then Fail_ Failure else ( - p <- choose_back i32 true 0%i32 0%i32 z0; - let (x, y) := p in + p1 <- choose_back z1; + let (x, y) := p1 in if negb (x s= 1%i32) then Fail_ Failure else if negb (y s= 0%i32) then Fail_ Failure else Return tt) @@ -64,35 +60,31 @@ Inductive List_t (T : Type) := Arguments List_Cons { _ }. Arguments List_Nil { _ }. -(** [paper::list_nth_mut]: forward function - Source: 'src/paper.rs', lines 42:0-42:67 *) -Fixpoint list_nth_mut (T : Type) (l : List_t T) (i : u32) : result T := - match l with - | List_Cons x tl => - if i s= 0%u32 - then Return x - else (i0 <- u32_sub i 1%u32; list_nth_mut T tl i0) - | List_Nil => Fail_ Failure - end -. - -(** [paper::list_nth_mut]: backward function 0 +(** [paper::list_nth_mut]: Source: 'src/paper.rs', lines 42:0-42:67 *) -Fixpoint list_nth_mut_back - (T : Type) (l : List_t T) (i : u32) (ret : T) : result (List_t T) := +Fixpoint list_nth_mut + (T : Type) (l : List_t T) (i : u32) : + result (T * (T -> result (List_t T))) + := match l with | List_Cons x tl => if i s= 0%u32 - then Return (List_Cons ret tl) + then + let back_'a := fun (ret : T) => Return (List_Cons ret tl) in + Return (x, back_'a) else ( - i0 <- u32_sub i 1%u32; - tl0 <- list_nth_mut_back T tl i0 ret; - Return (List_Cons x tl0)) + i1 <- u32_sub i 1%u32; + p <- list_nth_mut T tl i1; + let (t, list_nth_mut_back) := p in + let back_'a := + fun (ret : T) => tl1 <- list_nth_mut_back ret; Return (List_Cons x tl1) + in + Return (t, back_'a)) | List_Nil => Fail_ Failure end . -(** [paper::sum]: forward function +(** [paper::sum]: Source: 'src/paper.rs', lines 57:0-57:32 *) Fixpoint sum (l : List_t i32) : result i32 := match l with @@ -101,15 +93,15 @@ Fixpoint sum (l : List_t i32) : result i32 := end . -(** [paper::test_nth]: forward function +(** [paper::test_nth]: Source: 'src/paper.rs', lines 68:0-68:17 *) Definition test_nth : result unit := - let l := List_Nil in - let l0 := List_Cons 3%i32 l in - let l1 := List_Cons 2%i32 l0 in - x <- list_nth_mut i32 (List_Cons 1%i32 l1) 2%u32; - x0 <- i32_add x 1%i32; - l2 <- list_nth_mut_back i32 (List_Cons 1%i32 l1) 2%u32 x0; + let l := List_Cons 3%i32 List_Nil in + let l1 := List_Cons 2%i32 l in + p <- list_nth_mut i32 (List_Cons 1%i32 l1) 2%u32; + let (x, list_nth_mut_back) := p in + x1 <- i32_add x 1%i32; + l2 <- list_nth_mut_back x1; i <- sum l2; if negb (i s= 7%i32) then Fail_ Failure else Return tt . @@ -117,15 +109,16 @@ Definition test_nth : result unit := (** Unit test for [paper::test_nth] *) Check (test_nth )%return. -(** [paper::call_choose]: forward function +(** [paper::call_choose]: Source: 'src/paper.rs', lines 76:0-76:44 *) Definition call_choose (p : (u32 * u32)) : result u32 := let (px, py) := p in - pz <- choose u32 true px py; - pz0 <- u32_add pz 1%u32; - p0 <- choose_back u32 true px py pz0; - let (px0, _) := p0 in - Return px0 + p1 <- choose u32 true px py; + let (pz, choose_back) := p1 in + pz1 <- u32_add pz 1%u32; + p2 <- choose_back pz1; + let (px1, _) := p2 in + Return px1 . End Paper. diff --git a/tests/coq/misc/PoloniusList.v b/tests/coq/misc/PoloniusList.v index 2371b1cc..8f403a8e 100644 --- a/tests/coq/misc/PoloniusList.v +++ b/tests/coq/misc/PoloniusList.v @@ -18,26 +18,24 @@ Inductive List_t (T : Type) := Arguments List_Cons { _ }. Arguments List_Nil { _ }. -(** [polonius_list::get_list_at_x]: forward function +(** [polonius_list::get_list_at_x]: Source: 'src/polonius_list.rs', lines 13:0-13:76 *) -Fixpoint get_list_at_x (ls : List_t u32) (x : u32) : result (List_t u32) := - match ls with - | List_Cons hd tl => - if hd s= x then Return (List_Cons hd tl) else get_list_at_x tl x - | List_Nil => Return List_Nil - end -. - -(** [polonius_list::get_list_at_x]: backward function 0 - Source: 'src/polonius_list.rs', lines 13:0-13:76 *) -Fixpoint get_list_at_x_back - (ls : List_t u32) (x : u32) (ret : List_t u32) : result (List_t u32) := +Fixpoint get_list_at_x + (ls : List_t u32) (x : u32) : + result ((List_t u32) * (List_t u32 -> result (List_t u32))) + := match ls with | List_Cons hd tl => if hd s= x - then Return ret - else (tl0 <- get_list_at_x_back tl x ret; Return (List_Cons hd tl0)) - | List_Nil => Return ret + then Return (List_Cons hd tl, Return) + else ( + p <- get_list_at_x tl x; + let (l, get_list_at_x_back) := p in + let back_'a := + fun (ret : List_t u32) => + tl1 <- get_list_at_x_back ret; Return (List_Cons hd tl1) in + Return (l, back_'a)) + | List_Nil => Return (List_Nil, Return) end . diff --git a/tests/coq/misc/Primitives.v b/tests/coq/misc/Primitives.v index 84280b96..990e27e4 100644 --- a/tests/coq/misc/Primitives.v +++ b/tests/coq/misc/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. diff --git a/tests/coq/misc/_CoqProject b/tests/coq/misc/_CoqProject index 869cdb4d..64cddedd 100644 --- a/tests/coq/misc/_CoqProject +++ b/tests/coq/misc/_CoqProject @@ -8,9 +8,9 @@ External_Types.v Primitives.v External_Funs.v External_TypesExternal.v +Paper.v Constants.v PoloniusList.v -Paper.v NoNestedBorrows.v External_FunsExternal.v Bitwise.v diff --git a/tests/coq/traits/Primitives.v b/tests/coq/traits/Primitives.v index 84280b96..990e27e4 100644 --- a/tests/coq/traits/Primitives.v +++ b/tests/coq/traits/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. diff --git a/tests/coq/traits/Traits.v b/tests/coq/traits/Traits.v index 2448e8f3..7abf2021 100644 --- a/tests/coq/traits/Traits.v +++ b/tests/coq/traits/Traits.v @@ -17,7 +17,7 @@ Record BoolTrait_t (Self : Type) := mkBoolTrait_t { Arguments mkBoolTrait_t { _ }. Arguments BoolTrait_t_get_bool { _ }. -(** [traits::{bool}::get_bool]: forward function +(** [traits::{bool}::get_bool]: Source: 'src/traits.rs', lines 12:4-12:30 *) Definition bool_get_bool (self : bool) : result bool := Return self. @@ -28,24 +28,24 @@ Definition traits_BoolTraitBoolInst : BoolTrait_t bool := {| BoolTrait_t_get_bool := bool_get_bool; |}. -(** [traits::BoolTrait::ret_true]: forward function +(** [traits::BoolTrait::ret_true]: Source: 'src/traits.rs', lines 6:4-6:30 *) Definition boolTrait_ret_true {Self : Type} (self_clause : BoolTrait_t Self) (self : Self) : result bool := Return true . -(** [traits::test_bool_trait_bool]: forward function +(** [traits::test_bool_trait_bool]: Source: 'src/traits.rs', lines 17:0-17:44 *) Definition test_bool_trait_bool (x : bool) : result bool := b <- bool_get_bool x; if b then boolTrait_ret_true traits_BoolTraitBoolInst x else Return false . -(** [traits::{core::option::Option<T>#1}::get_bool]: forward function +(** [traits::{core::option::Option<T>#1}::get_bool]: Source: 'src/traits.rs', lines 23:4-23:30 *) Definition option_get_bool (T : Type) (self : option T) : result bool := - match self with | None => Return false | Some t => Return true end + match self with | None => Return false | Some _ => Return true end . (** Trait implementation: [traits::{core::option::Option<T>#1}] @@ -55,7 +55,7 @@ Definition traits_BoolTraitcoreoptionOptionTInst (T : Type) : BoolTrait_t BoolTrait_t_get_bool := option_get_bool T; |}. -(** [traits::test_bool_trait_option]: forward function +(** [traits::test_bool_trait_option]: Source: 'src/traits.rs', lines 31:0-31:54 *) Definition test_bool_trait_option (T : Type) (x : option T) : result bool := b <- option_get_bool T x; @@ -64,7 +64,7 @@ Definition test_bool_trait_option (T : Type) (x : option T) : result bool := else Return false . -(** [traits::test_bool_trait]: forward function +(** [traits::test_bool_trait]: Source: 'src/traits.rs', lines 35:0-35:50 *) Definition test_bool_trait (T : Type) (boolTraitTInst : BoolTrait_t T) (x : T) : result bool := @@ -80,7 +80,7 @@ Record ToU64_t (Self : Type) := mkToU64_t { Arguments mkToU64_t { _ }. Arguments ToU64_t_to_u64 { _ }. -(** [traits::{u64#2}::to_u64]: forward function +(** [traits::{u64#2}::to_u64]: Source: 'src/traits.rs', lines 44:4-44:26 *) Definition u64_to_u64 (self : u64) : result u64 := Return self. @@ -91,14 +91,14 @@ Definition traits_ToU64U64Inst : ToU64_t u64 := {| ToU64_t_to_u64 := u64_to_u64; |}. -(** [traits::{(A, A)#3}::to_u64]: forward function +(** [traits::{(A, A)#3}::to_u64]: Source: 'src/traits.rs', lines 50:4-50:26 *) Definition pair_to_u64 (A : Type) (toU64AInst : ToU64_t A) (self : (A * A)) : result u64 := - let (t, t0) := self in + let (t, t1) := self in i <- toU64AInst.(ToU64_t_to_u64) t; - i0 <- toU64AInst.(ToU64_t_to_u64) t0; - u64_add i i0 + i1 <- toU64AInst.(ToU64_t_to_u64) t1; + u64_add i i1 . (** Trait implementation: [traits::{(A, A)#3}] @@ -108,20 +108,20 @@ Definition traits_ToU64TupleAAInst (A : Type) (toU64AInst : ToU64_t A) : ToU64_t_to_u64 := pair_to_u64 A toU64AInst; |}. -(** [traits::f]: forward function +(** [traits::f]: Source: 'src/traits.rs', lines 55:0-55:36 *) Definition f (T : Type) (toU64TInst : ToU64_t T) (x : (T * T)) : result u64 := pair_to_u64 T toU64TInst x . -(** [traits::g]: forward function +(** [traits::g]: Source: 'src/traits.rs', lines 59:0-61:18 *) Definition g (T : Type) (toU64TupleTTInst : ToU64_t (T * T)) (x : (T * T)) : result u64 := toU64TupleTTInst.(ToU64_t_to_u64) x . -(** [traits::h0]: forward function +(** [traits::h0]: Source: 'src/traits.rs', lines 66:0-66:24 *) Definition h0 (x : u64) : result u64 := u64_to_u64 x. @@ -133,7 +133,7 @@ Record Wrapper_t (T : Type) := mkWrapper_t { wrapper_x : T; }. Arguments mkWrapper_t { _ }. Arguments wrapper_x { _ }. -(** [traits::{traits::Wrapper<T>#4}::to_u64]: forward function +(** [traits::{traits::Wrapper<T>#4}::to_u64]: Source: 'src/traits.rs', lines 75:4-75:26 *) Definition wrapper_to_u64 (T : Type) (toU64TInst : ToU64_t T) (self : Wrapper_t T) : result u64 := @@ -147,13 +147,13 @@ Definition traits_ToU64traitsWrapperTInst (T : Type) (toU64TInst : ToU64_t T) : ToU64_t_to_u64 := wrapper_to_u64 T toU64TInst; |}. -(** [traits::h1]: forward function +(** [traits::h1]: Source: 'src/traits.rs', lines 80:0-80:33 *) Definition h1 (x : Wrapper_t u64) : result u64 := wrapper_to_u64 u64 traits_ToU64U64Inst x . -(** [traits::h2]: forward function +(** [traits::h2]: Source: 'src/traits.rs', lines 84:0-84:41 *) Definition h2 (T : Type) (toU64TInst : ToU64_t T) (x : Wrapper_t T) : result u64 := @@ -169,7 +169,7 @@ Record ToType_t (Self T : Type) := mkToType_t { Arguments mkToType_t { _ _ }. Arguments ToType_t_to_type { _ _ }. -(** [traits::{u64#5}::to_type]: forward function +(** [traits::{u64#5}::to_type]: Source: 'src/traits.rs', lines 93:4-93:28 *) Definition u64_to_type (self : u64) : result bool := Return (self s> 0%u64). @@ -190,7 +190,7 @@ Record OfType_t (Self : Type) := mkOfType_t { Arguments mkOfType_t { _ }. Arguments OfType_t_of_type { _ }. -(** [traits::h3]: forward function +(** [traits::h3]: Source: 'src/traits.rs', lines 104:0-104:50 *) Definition h3 (T1 T2 : Type) (ofTypeT1Inst : OfType_t T1) (toTypeT2T1Inst : ToType_t T2 T1) @@ -211,7 +211,7 @@ Arguments mkOfTypeBis_t { _ _ }. Arguments OfTypeBis_tOfTypeBis_t_ToTypeTSelfInst { _ _ }. Arguments OfTypeBis_t_of_type { _ _ }. -(** [traits::h4]: forward function +(** [traits::h4]: Source: 'src/traits.rs', lines 118:0-118:57 *) Definition h4 (T1 T2 : Type) (ofTypeBisT1T2Inst : OfTypeBis_t T1 T2) (toTypeT2T1Inst : @@ -238,7 +238,7 @@ Record TestType_test_TestTrait_t (Self : Type) := mkTestType_test_TestTrait_t { Arguments mkTestType_test_TestTrait_t { _ }. Arguments TestType_test_TestTrait_t_test { _ }. -(** [traits::{traits::TestType<T>#6}::test::{traits::{traits::TestType<T>#6}::test::TestType1}::test]: forward function +(** [traits::{traits::TestType<T>#6}::test::{traits::{traits::TestType<T>#6}::test::TestType1}::test]: Source: 'src/traits.rs', lines 139:12-139:34 *) Definition testType_test_TestType1_test (self : TestType_test_TestType1_t) : result bool := @@ -252,21 +252,21 @@ Definition traits_TestType_test_TestTraittraitstraitsTestTypeTtestTestType1Inst TestType_test_TestTrait_t_test := testType_test_TestType1_test; |}. -(** [traits::{traits::TestType<T>#6}::test]: forward function +(** [traits::{traits::TestType<T>#6}::test]: Source: 'src/traits.rs', lines 126:4-126:36 *) Definition testType_test (T : Type) (toU64TInst : ToU64_t T) (self : TestType_t T) (x : T) : result bool := - x0 <- toU64TInst.(ToU64_t_to_u64) x; - if x0 s> 0%u64 then testType_test_TestType1_test 0%u64 else Return false + x1 <- toU64TInst.(ToU64_t_to_u64) x; + if x1 s> 0%u64 then testType_test_TestType1_test 0%u64 else Return false . (** [traits::BoolWrapper] Source: 'src/traits.rs', lines 150:0-150:22 *) Definition BoolWrapper_t : Type := bool. -(** [traits::{traits::BoolWrapper#7}::to_type]: forward function +(** [traits::{traits::BoolWrapper#7}::to_type]: Source: 'src/traits.rs', lines 156:4-156:25 *) Definition boolWrapper_to_type (T : Type) (toTypeBoolTInst : ToType_t bool T) (self : BoolWrapper_t) : @@ -312,8 +312,7 @@ Arguments WithConstTy_t_f { _ _ }. Definition bool_len1_body : result usize := Return 12%usize. Definition bool_len1_c : usize := bool_len1_body%global. -(** [traits::{bool#8}::f]: merged forward/backward function - (there is a single backward function, and the forward function returns ()) +(** [traits::{bool#8}::f]: Source: 'src/traits.rs', lines 180:4-180:39 *) Definition bool_f (i : u64) (a : array u8 32%usize) : result u64 := Return i. @@ -329,16 +328,16 @@ Definition traits_WithConstTyBool32Inst : WithConstTy_t bool 32%usize := {| WithConstTy_t_f := bool_f; |}. -(** [traits::use_with_const_ty1]: forward function +(** [traits::use_with_const_ty1]: Source: 'src/traits.rs', lines 183:0-183:75 *) Definition use_with_const_ty1 (H : Type) (LEN : usize) (withConstTyHLENInst : WithConstTy_t H LEN) : result usize := - let i := withConstTyHLENInst.(WithConstTy_tWithConstTy_t_LEN1) in Return i + Return withConstTyHLENInst.(WithConstTy_tWithConstTy_t_LEN1) . -(** [traits::use_with_const_ty2]: forward function +(** [traits::use_with_const_ty2]: Source: 'src/traits.rs', lines 187:0-187:73 *) Definition use_with_const_ty2 (H : Type) (LEN : usize) (withConstTyHLENInst : WithConstTy_t H LEN) @@ -348,7 +347,7 @@ Definition use_with_const_ty2 Return tt . -(** [traits::use_with_const_ty3]: forward function +(** [traits::use_with_const_ty3]: Source: 'src/traits.rs', lines 189:0-189:80 *) Definition use_with_const_ty3 (H : Type) (LEN : usize) (withConstTyHLENInst : WithConstTy_t H LEN) @@ -359,12 +358,12 @@ Definition use_with_const_ty3 x . -(** [traits::test_where1]: forward function +(** [traits::test_where1]: Source: 'src/traits.rs', lines 193:0-193:40 *) Definition test_where1 (T : Type) (_x : T) : result unit := Return tt. -(** [traits::test_where2]: forward function +(** [traits::test_where2]: Source: 'src/traits.rs', lines 194:0-194:57 *) Definition test_where2 (T : Type) (withConstTyT32Inst : WithConstTy_t T 32%usize) (_x : u32) : @@ -403,16 +402,25 @@ Arguments mkChildTrait_t { _ }. Arguments ChildTrait_tChildTrait_t_ParentTrait0SelfInst { _ }. Arguments ChildTrait_tChildTrait_t_ParentTrait1SelfInst { _ }. -(** [traits::test_child_trait1]: forward function - Source: 'src/traits.rs', lines 209:0-209:56 *) +(** [traits::test_parent_trait0]: + Source: 'src/traits.rs', lines 208:0-208:57 *) +Definition test_parent_trait0 + (T : Type) (parentTrait0TInst : ParentTrait0_t T) (x : T) : + result parentTrait0TInst.(ParentTrait0_tParentTrait0_t_W) + := + parentTrait0TInst.(ParentTrait0_t_get_w) x +. + +(** [traits::test_child_trait1]: + Source: 'src/traits.rs', lines 213:0-213:56 *) Definition test_child_trait1 (T : Type) (childTraitTInst : ChildTrait_t T) (x : T) : result string := childTraitTInst.(ChildTrait_tChildTrait_t_ParentTrait0SelfInst).(ParentTrait0_t_get_name) x . -(** [traits::test_child_trait2]: forward function - Source: 'src/traits.rs', lines 213:0-213:54 *) +(** [traits::test_child_trait2]: + Source: 'src/traits.rs', lines 217:0-217:54 *) Definition test_child_trait2 (T : Type) (childTraitTInst : ChildTrait_t T) (x : T) : result @@ -422,8 +430,8 @@ Definition test_child_trait2 x . -(** [traits::order1]: forward function - Source: 'src/traits.rs', lines 219:0-219:59 *) +(** [traits::order1]: + Source: 'src/traits.rs', lines 223:0-223:59 *) Definition order1 (T U : Type) (parentTrait0TInst : ParentTrait0_t T) (parentTrait0UInst : ParentTrait0_t U) : @@ -433,7 +441,7 @@ Definition order1 . (** Trait declaration: [traits::ChildTrait1] - Source: 'src/traits.rs', lines 222:0-222:35 *) + Source: 'src/traits.rs', lines 226:0-226:35 *) Record ChildTrait1_t (Self : Type) := mkChildTrait1_t { ChildTrait1_tChildTrait1_t_ParentTrait1SelfInst : ParentTrait1_t Self; }. @@ -442,19 +450,19 @@ Arguments mkChildTrait1_t { _ }. Arguments ChildTrait1_tChildTrait1_t_ParentTrait1SelfInst { _ }. (** Trait implementation: [traits::{usize#9}] - Source: 'src/traits.rs', lines 224:0-224:27 *) + Source: 'src/traits.rs', lines 228:0-228:27 *) Definition traits_ParentTrait1UsizeInst : ParentTrait1_t usize := mkParentTrait1_t. (** Trait implementation: [traits::{usize#10}] - Source: 'src/traits.rs', lines 225:0-225:26 *) + Source: 'src/traits.rs', lines 229:0-229:26 *) Definition traits_ChildTrait1UsizeInst : ChildTrait1_t usize := {| ChildTrait1_tChildTrait1_t_ParentTrait1SelfInst := traits_ParentTrait1UsizeInst; |}. (** Trait declaration: [traits::Iterator] - Source: 'src/traits.rs', lines 229:0-229:18 *) + Source: 'src/traits.rs', lines 233:0-233:18 *) Record Iterator_t (Self : Type) := mkIterator_t { Iterator_tIterator_t_Item : Type; }. @@ -463,7 +471,7 @@ Arguments mkIterator_t { _ }. Arguments Iterator_tIterator_t_Item { _ }. (** Trait declaration: [traits::IntoIterator] - Source: 'src/traits.rs', lines 233:0-233:22 *) + Source: 'src/traits.rs', lines 237:0-237:22 *) Record IntoIterator_t (Self : Type) := mkIntoIterator_t { IntoIterator_tIntoIterator_t_Item : Type; IntoIterator_tIntoIterator_t_IntoIter : Type; @@ -480,13 +488,13 @@ Arguments IntoIterator_tIntoIterator_t_IntoIter_clause_0 { _ }. Arguments IntoIterator_t_into_iter { _ }. (** Trait declaration: [traits::FromResidual] - Source: 'src/traits.rs', lines 250:0-250:21 *) + Source: 'src/traits.rs', lines 254:0-254:21 *) Record FromResidual_t (Self T : Type) := mkFromResidual_t{}. Arguments mkFromResidual_t { _ _ }. (** Trait declaration: [traits::Try] - Source: 'src/traits.rs', lines 246:0-246:48 *) + Source: 'src/traits.rs', lines 250:0-250:48 *) Record Try_t (Self : Type) := mkTry_t { Try_tTry_t_Residual : Type; Try_tTry_t_FromResidualSelftraitsTrySelfResidualInst : FromResidual_t Self @@ -498,7 +506,7 @@ Arguments Try_tTry_t_Residual { _ }. Arguments Try_tTry_t_FromResidualSelftraitsTrySelfResidualInst { _ }. (** Trait declaration: [traits::WithTarget] - Source: 'src/traits.rs', lines 252:0-252:20 *) + Source: 'src/traits.rs', lines 256:0-256:20 *) Record WithTarget_t (Self : Type) := mkWithTarget_t { WithTarget_tWithTarget_t_Target : Type; }. @@ -507,7 +515,7 @@ Arguments mkWithTarget_t { _ }. Arguments WithTarget_tWithTarget_t_Target { _ }. (** Trait declaration: [traits::ParentTrait2] - Source: 'src/traits.rs', lines 256:0-256:22 *) + Source: 'src/traits.rs', lines 260:0-260:22 *) Record ParentTrait2_t (Self : Type) := mkParentTrait2_t { ParentTrait2_tParentTrait2_t_U : Type; ParentTrait2_tParentTrait2_t_U_clause_0 : WithTarget_t @@ -519,7 +527,7 @@ Arguments ParentTrait2_tParentTrait2_t_U { _ }. Arguments ParentTrait2_tParentTrait2_t_U_clause_0 { _ }. (** Trait declaration: [traits::ChildTrait2] - Source: 'src/traits.rs', lines 260:0-260:35 *) + Source: 'src/traits.rs', lines 264:0-264:35 *) Record ChildTrait2_t (Self : Type) := mkChildTrait2_t { ChildTrait2_tChildTrait2_t_ParentTrait2SelfInst : ParentTrait2_t Self; ChildTrait2_t_convert : @@ -533,25 +541,25 @@ Arguments ChildTrait2_tChildTrait2_t_ParentTrait2SelfInst { _ }. Arguments ChildTrait2_t_convert { _ }. (** Trait implementation: [traits::{u32#11}] - Source: 'src/traits.rs', lines 264:0-264:23 *) + Source: 'src/traits.rs', lines 268:0-268:23 *) Definition traits_WithTargetU32Inst : WithTarget_t u32 := {| WithTarget_tWithTarget_t_Target := u32; |}. (** Trait implementation: [traits::{u32#12}] - Source: 'src/traits.rs', lines 268:0-268:25 *) + Source: 'src/traits.rs', lines 272:0-272:25 *) Definition traits_ParentTrait2U32Inst : ParentTrait2_t u32 := {| ParentTrait2_tParentTrait2_t_U := u32; ParentTrait2_tParentTrait2_t_U_clause_0 := traits_WithTargetU32Inst; |}. -(** [traits::{u32#13}::convert]: forward function - Source: 'src/traits.rs', lines 273:4-273:29 *) +(** [traits::{u32#13}::convert]: + Source: 'src/traits.rs', lines 277:4-277:29 *) Definition u32_convert (x : u32) : result u32 := Return x. (** Trait implementation: [traits::{u32#13}] - Source: 'src/traits.rs', lines 272:0-272:24 *) + Source: 'src/traits.rs', lines 276:0-276:24 *) Definition traits_ChildTrait2U32Inst : ChildTrait2_t u32 := {| ChildTrait2_tChildTrait2_t_ParentTrait2SelfInst := traits_ParentTrait2U32Inst; @@ -559,7 +567,7 @@ Definition traits_ChildTrait2U32Inst : ChildTrait2_t u32 := {| |}. (** Trait declaration: [traits::CFnOnce] - Source: 'src/traits.rs', lines 286:0-286:23 *) + Source: 'src/traits.rs', lines 290:0-290:23 *) Record CFnOnce_t (Self Args : Type) := mkCFnOnce_t { CFnOnce_tCFnOnce_t_Output : Type; CFnOnce_t_call_once : Self -> Args -> result CFnOnce_tCFnOnce_t_Output; @@ -570,31 +578,48 @@ Arguments CFnOnce_tCFnOnce_t_Output { _ _ }. Arguments CFnOnce_t_call_once { _ _ }. (** Trait declaration: [traits::CFnMut] - Source: 'src/traits.rs', lines 292:0-292:37 *) + Source: 'src/traits.rs', lines 296:0-296:37 *) Record CFnMut_t (Self Args : Type) := mkCFnMut_t { CFnMut_tCFnMut_t_CFnOnceSelfArgsInst : CFnOnce_t Self Args; CFnMut_t_call_mut : Self -> Args -> result - (CFnMut_tCFnMut_t_CFnOnceSelfArgsInst).(CFnOnce_tCFnOnce_t_Output); - CFnMut_t_call_mut_back : Self -> Args -> - (CFnMut_tCFnMut_t_CFnOnceSelfArgsInst).(CFnOnce_tCFnOnce_t_Output) -> - result Self; + ((CFnMut_tCFnMut_t_CFnOnceSelfArgsInst).(CFnOnce_tCFnOnce_t_Output) * + Self); }. Arguments mkCFnMut_t { _ _ }. Arguments CFnMut_tCFnMut_t_CFnOnceSelfArgsInst { _ _ }. Arguments CFnMut_t_call_mut { _ _ }. -Arguments CFnMut_t_call_mut_back { _ _ }. (** Trait declaration: [traits::CFn] - Source: 'src/traits.rs', lines 296:0-296:33 *) + Source: 'src/traits.rs', lines 300:0-300:33 *) Record CFn_t (Self Args : Type) := mkCFn_t { CFn_tCFn_t_CFnMutSelfArgsInst : CFnMut_t Self Args; - CFn_t_call_mut : Self -> Args -> result + CFn_t_call : Self -> Args -> result (CFn_tCFn_t_CFnMutSelfArgsInst).(CFnMut_tCFnMut_t_CFnOnceSelfArgsInst).(CFnOnce_tCFnOnce_t_Output); }. Arguments mkCFn_t { _ _ }. Arguments CFn_tCFn_t_CFnMutSelfArgsInst { _ _ }. -Arguments CFn_t_call_mut { _ _ }. +Arguments CFn_t_call { _ _ }. + +(** Trait declaration: [traits::GetTrait] + Source: 'src/traits.rs', lines 304:0-304:18 *) +Record GetTrait_t (Self : Type) := mkGetTrait_t { + GetTrait_tGetTrait_t_W : Type; + GetTrait_t_get_w : Self -> result GetTrait_tGetTrait_t_W; +}. + +Arguments mkGetTrait_t { _ }. +Arguments GetTrait_tGetTrait_t_W { _ }. +Arguments GetTrait_t_get_w { _ }. + +(** [traits::test_get_trait]: + Source: 'src/traits.rs', lines 309:0-309:49 *) +Definition test_get_trait + (T : Type) (getTraitTInst : GetTrait_t T) (x : T) : + result getTraitTInst.(GetTrait_tGetTrait_t_W) + := + getTraitTInst.(GetTrait_t_get_w) x +. End Traits. |