diff options
| author | Son HO | 2023-12-23 01:46:58 +0100 |
|---|---|---|
| committer | GitHub | 2023-12-23 01:46:58 +0100 |
| commit | 15a7d7b7322a1cd0ebeb328fde214060e23fa8b4 (patch) | |
| tree | 6cce7d76969870f5bc18c5a7cd585e8873a1c0dc /tests | |
| parent | c3e0b90e422cbd902ee6d2b47073940c0017b7fb (diff) | |
| parent | 63ccbd914d5d44aa30dee38a6fcc019310ab640b (diff) | |
Merge pull request #64 from AeneasVerif/son/merge_back
Merge the forward/backward functions
Diffstat (limited to 'tests')
119 files changed, 17362 insertions, 9263 deletions
diff --git a/tests/Makefile b/tests/Makefile index 8d40e8da..ccdbf652 100644 --- a/tests/Makefile +++ b/tests/Makefile @@ -1,4 +1,4 @@ -all: test-fstar test-coq test-lean test-hol4 +all: test-fstar test-fstar-split test-coq test-lean test-hol4 test-%: cd $* && $(MAKE) all 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. diff --git a/tests/fstar-split/.gitignore b/tests/fstar-split/.gitignore new file mode 100644 index 00000000..28a11147 --- /dev/null +++ b/tests/fstar-split/.gitignore @@ -0,0 +1 @@ +*/obj
\ No newline at end of file diff --git a/tests/fstar-split/Makefile b/tests/fstar-split/Makefile new file mode 100644 index 00000000..6cf03386 --- /dev/null +++ b/tests/fstar-split/Makefile @@ -0,0 +1,33 @@ +ALL_DIRS ?= $(filter-out Makefile%, $(wildcard *)) + +VERIFY_DIRS = $(addprefix verif-,$(ALL_DIRS)) + +CLEAN_DIRS = $(addprefix clean-,$(ALL_DIRS)) + +COPY_MAKEFILES = $(addprefix copy-makefile-,$(ALL_DIRS)) + +.PHONY: all +all: prepare-projects verify + +.PHONY: prepare-projects +prepare-projects: $(COPY_MAKEFILES) + +.PHONY: verify +verify: $(VERIFY_DIRS) + +.PHONY: verif-% +verif-%: + cd $* && make all + +.PHONY: copy-makefile-% +copy-makefile-%: + rm -f $*/Makefile + echo "# This file was automatically generated - modify ../Makefile.template instead" >> $*/Makefile + cat Makefile.template >> $*/Makefile + +.PHONY: clean +clean: $(CLEAN_DIRS) + +.PHONY: clean-% +clean-%: + cd $* && make clean diff --git a/tests/fstar-split/Makefile.template b/tests/fstar-split/Makefile.template new file mode 100644 index 00000000..14790d6d --- /dev/null +++ b/tests/fstar-split/Makefile.template @@ -0,0 +1,48 @@ +INCLUDE_DIRS = . + +FSTAR_INCLUDES = $(addprefix --include ,$(INCLUDE_DIRS)) + +FSTAR_HINTS ?= --use_hints --use_hint_hashes --record_hints + +FSTAR_OPTIONS = $(FSTAR_HINTS) \ + --cache_checked_modules $(FSTAR_INCLUDES) --cmi \ + --warn_error '+241@247+285-274' \ + +FSTAR_EXE ?= fstar.exe +FSTAR_NO_FLAGS = $(FSTAR_EXE) --already_cached 'Prims FStar LowStar Steel' --odir obj --cache_dir obj + +FSTAR = $(FSTAR_NO_FLAGS) $(FSTAR_OPTIONS) + +# The F* roots are used to compute the dependency graph, and generate the .depend file +FSTAR_ROOTS ?= $(wildcard *.fst *.fsti) + +# Build all the files +all: $(addprefix obj/,$(addsuffix .checked,$(FSTAR_ROOTS))) + +# This is the right way to ensure the .depend file always gets re-built. +ifeq (,$(filter %-in,$(MAKECMDGOALS))) +ifndef NODEPEND +ifndef MAKE_RESTARTS +.depend: .FORCE + $(FSTAR_NO_FLAGS) --dep full $(notdir $(FSTAR_ROOTS)) > $@ + +.PHONY: .FORCE +.FORCE: +endif +endif + +include .depend +endif + +# For the interactive mode +%.fst-in %.fsti-in: + @echo $(FSTAR_OPTIONS) + +# Generete the .checked files in batch mode +%.checked: + $(FSTAR) $(FSTAR_OPTIONS) $< && \ + touch -c $@ + +.PHONY: clean +clean: + rm -f obj/* diff --git a/tests/fstar-split/array/Array.Clauses.Template.fst b/tests/fstar-split/array/Array.Clauses.Template.fst new file mode 100644 index 00000000..b2f2649c --- /dev/null +++ b/tests/fstar-split/array/Array.Clauses.Template.fst @@ -0,0 +1,21 @@ +(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *) +(** [array]: templates for the decreases clauses *) +module Array.Clauses.Template +open Primitives +open Array.Types + +#set-options "--z3rlimit 50 --fuel 1 --ifuel 1" + +(** [array::sum]: decreases clause + Source: 'src/array.rs', lines 242:0-250:1 *) +unfold +let sum_loop_decreases (s : slice u32) (sum1 : u32) (i : usize) : nat = + admit () + +(** [array::sum2]: decreases clause + Source: 'src/array.rs', lines 252:0-261:1 *) +unfold +let sum2_loop_decreases (s : slice u32) (s2 : slice u32) (sum1 : u32) + (i : usize) : nat = + admit () + diff --git a/tests/fstar-split/array/Array.Clauses.fst b/tests/fstar-split/array/Array.Clauses.fst new file mode 100644 index 00000000..68cbf216 --- /dev/null +++ b/tests/fstar-split/array/Array.Clauses.fst @@ -0,0 +1,19 @@ +(** [array]: decreases clauses *) +module Array.Clauses +open Primitives +open Array.Types +open FStar.List.Tot + +#set-options "--z3rlimit 50 --fuel 1 --ifuel 1" + +(** [array::sum]: decreases clause *) +unfold +let sum_loop_decreases (s : slice u32) (sum : u32) (i : usize) : nat = + if i < length s then length s - i else 0 + +(** [array::sum2]: decreases clause *) +unfold +let sum2_loop_decreases (s : slice u32) (s2 : slice u32) (sum : u32) + (i : usize) : nat = + if i < length s then length s - i else 0 + diff --git a/tests/fstar-split/array/Array.Funs.fst b/tests/fstar-split/array/Array.Funs.fst new file mode 100644 index 00000000..30b19702 --- /dev/null +++ b/tests/fstar-split/array/Array.Funs.fst @@ -0,0 +1,445 @@ +(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *) +(** [array]: function definitions *) +module Array.Funs +open Primitives +include Array.Types +include Array.Clauses + +#set-options "--z3rlimit 50 --fuel 1 --ifuel 1" + +(** [array::incr]: merged forward/backward function + (there is a single backward function, and the forward function returns ()) + Source: 'src/array.rs', lines 8:0-8:24 *) +let incr (x : u32) : result u32 = + u32_add x 1 + +(** [array::array_to_shared_slice_]: forward function + Source: 'src/array.rs', lines 16:0-16:53 *) +let array_to_shared_slice_ (t : Type0) (s : array t 32) : result (slice t) = + array_to_slice t 32 s + +(** [array::array_to_mut_slice_]: forward function + Source: 'src/array.rs', lines 21:0-21:58 *) +let array_to_mut_slice_ (t : Type0) (s : array t 32) : result (slice t) = + array_to_slice t 32 s + +(** [array::array_to_mut_slice_]: backward function 0 + Source: 'src/array.rs', lines 21:0-21:58 *) +let array_to_mut_slice__back + (t : Type0) (s : array t 32) (ret : slice t) : result (array t 32) = + array_from_slice t 32 s ret + +(** [array::array_len]: forward function + Source: 'src/array.rs', lines 25:0-25:40 *) +let array_len (t : Type0) (s : array t 32) : result usize = + let* s1 = array_to_slice t 32 s in let i = slice_len t s1 in Return i + +(** [array::shared_array_len]: forward function + Source: 'src/array.rs', lines 29:0-29:48 *) +let shared_array_len (t : Type0) (s : array t 32) : result usize = + let* s1 = array_to_slice t 32 s in let i = slice_len t s1 in Return i + +(** [array::shared_slice_len]: forward function + Source: 'src/array.rs', lines 33:0-33:44 *) +let shared_slice_len (t : Type0) (s : slice t) : result usize = + let i = slice_len t s in Return i + +(** [array::index_array_shared]: forward function + Source: 'src/array.rs', lines 37:0-37:57 *) +let index_array_shared (t : Type0) (s : array t 32) (i : usize) : result t = + array_index_usize t 32 s i + +(** [array::index_array_u32]: forward function + Source: 'src/array.rs', lines 44:0-44:53 *) +let index_array_u32 (s : array u32 32) (i : usize) : result u32 = + array_index_usize u32 32 s i + +(** [array::index_array_copy]: forward function + Source: 'src/array.rs', lines 48:0-48:45 *) +let index_array_copy (x : array u32 32) : result u32 = + array_index_usize u32 32 x 0 + +(** [array::index_mut_array]: forward function + Source: 'src/array.rs', lines 52:0-52:62 *) +let index_mut_array (t : Type0) (s : array t 32) (i : usize) : result t = + array_index_usize t 32 s i + +(** [array::index_mut_array]: backward function 0 + Source: 'src/array.rs', lines 52:0-52:62 *) +let index_mut_array_back + (t : Type0) (s : array t 32) (i : usize) (ret : t) : result (array t 32) = + array_update_usize t 32 s i ret + +(** [array::index_slice]: forward function + Source: 'src/array.rs', lines 56:0-56:46 *) +let index_slice (t : Type0) (s : slice t) (i : usize) : result t = + slice_index_usize t s i + +(** [array::index_mut_slice]: forward function + Source: 'src/array.rs', lines 60:0-60:58 *) +let index_mut_slice (t : Type0) (s : slice t) (i : usize) : result t = + slice_index_usize t s i + +(** [array::index_mut_slice]: backward function 0 + Source: 'src/array.rs', lines 60:0-60:58 *) +let index_mut_slice_back + (t : Type0) (s : slice t) (i : usize) (ret : t) : result (slice t) = + slice_update_usize t s i ret + +(** [array::slice_subslice_shared_]: forward function + Source: 'src/array.rs', lines 64:0-64:70 *) +let slice_subslice_shared_ + (x : slice u32) (y : usize) (z : usize) : result (slice u32) = + core_slice_index_Slice_index u32 (core_ops_range_Range usize) + (core_slice_index_SliceIndexRangeUsizeSliceTInst u32) x + { start = y; end_ = z } + +(** [array::slice_subslice_mut_]: forward function + Source: 'src/array.rs', lines 68:0-68:75 *) +let slice_subslice_mut_ + (x : slice u32) (y : usize) (z : usize) : result (slice u32) = + core_slice_index_Slice_index_mut u32 (core_ops_range_Range usize) + (core_slice_index_SliceIndexRangeUsizeSliceTInst u32) x + { start = y; end_ = z } + +(** [array::slice_subslice_mut_]: backward function 0 + Source: 'src/array.rs', lines 68:0-68:75 *) +let slice_subslice_mut__back + (x : slice u32) (y : usize) (z : usize) (ret : slice u32) : + result (slice u32) + = + core_slice_index_Slice_index_mut_back u32 (core_ops_range_Range usize) + (core_slice_index_SliceIndexRangeUsizeSliceTInst u32) x + { start = y; end_ = z } ret + +(** [array::array_to_slice_shared_]: forward function + Source: 'src/array.rs', lines 72:0-72:54 *) +let array_to_slice_shared_ (x : array u32 32) : result (slice u32) = + array_to_slice u32 32 x + +(** [array::array_to_slice_mut_]: forward function + Source: 'src/array.rs', lines 76:0-76:59 *) +let array_to_slice_mut_ (x : array u32 32) : result (slice u32) = + array_to_slice u32 32 x + +(** [array::array_to_slice_mut_]: backward function 0 + Source: 'src/array.rs', lines 76:0-76:59 *) +let array_to_slice_mut__back + (x : array u32 32) (ret : slice u32) : result (array u32 32) = + array_from_slice u32 32 x ret + +(** [array::array_subslice_shared_]: forward function + Source: 'src/array.rs', lines 80:0-80:74 *) +let array_subslice_shared_ + (x : array u32 32) (y : usize) (z : usize) : result (slice u32) = + core_array_Array_index u32 (core_ops_range_Range usize) 32 + (core_ops_index_IndexSliceTIInst u32 (core_ops_range_Range usize) + (core_slice_index_SliceIndexRangeUsizeSliceTInst u32)) x + { start = y; end_ = z } + +(** [array::array_subslice_mut_]: forward function + Source: 'src/array.rs', lines 84:0-84:79 *) +let array_subslice_mut_ + (x : array u32 32) (y : usize) (z : usize) : result (slice u32) = + core_array_Array_index_mut u32 (core_ops_range_Range usize) 32 + (core_ops_index_IndexMutSliceTIInst u32 (core_ops_range_Range usize) + (core_slice_index_SliceIndexRangeUsizeSliceTInst u32)) x + { start = y; end_ = z } + +(** [array::array_subslice_mut_]: backward function 0 + Source: 'src/array.rs', lines 84:0-84:79 *) +let array_subslice_mut__back + (x : array u32 32) (y : usize) (z : usize) (ret : slice u32) : + result (array u32 32) + = + core_array_Array_index_mut_back u32 (core_ops_range_Range usize) 32 + (core_ops_index_IndexMutSliceTIInst u32 (core_ops_range_Range usize) + (core_slice_index_SliceIndexRangeUsizeSliceTInst u32)) x + { start = y; end_ = z } ret + +(** [array::index_slice_0]: forward function + Source: 'src/array.rs', lines 88:0-88:38 *) +let index_slice_0 (t : Type0) (s : slice t) : result t = + slice_index_usize t s 0 + +(** [array::index_array_0]: forward function + Source: 'src/array.rs', lines 92:0-92:42 *) +let index_array_0 (t : Type0) (s : array t 32) : result t = + array_index_usize t 32 s 0 + +(** [array::index_index_array]: forward function + Source: 'src/array.rs', lines 103:0-103:71 *) +let index_index_array + (s : array (array u32 32) 32) (i : usize) (j : usize) : result u32 = + let* a = array_index_usize (array u32 32) 32 s i in + array_index_usize u32 32 a j + +(** [array::update_update_array]: forward function + Source: 'src/array.rs', lines 114:0-114:70 *) +let update_update_array + (s : array (array u32 32) 32) (i : usize) (j : usize) : result unit = + let* a = array_index_usize (array u32 32) 32 s i in + let* a1 = array_update_usize u32 32 a j 0 in + let* _ = array_update_usize (array u32 32) 32 s i a1 in + Return () + +(** [array::array_local_deep_copy]: forward function + Source: 'src/array.rs', lines 118:0-118:43 *) +let array_local_deep_copy (x : array u32 32) : result unit = + Return () + +(** [array::take_array]: forward function + Source: 'src/array.rs', lines 122:0-122:30 *) +let take_array (a : array u32 2) : result unit = + Return () + +(** [array::take_array_borrow]: forward function + Source: 'src/array.rs', lines 123:0-123:38 *) +let take_array_borrow (a : array u32 2) : result unit = + Return () + +(** [array::take_slice]: forward function + Source: 'src/array.rs', lines 124:0-124:28 *) +let take_slice (s : slice u32) : result unit = + Return () + +(** [array::take_mut_slice]: merged forward/backward function + (there is a single backward function, and the forward function returns ()) + Source: 'src/array.rs', lines 125:0-125:36 *) +let take_mut_slice (s : slice u32) : result (slice u32) = + Return s + +(** [array::const_array]: forward function + Source: 'src/array.rs', lines 127:0-127:32 *) +let const_array : result (array u32 2) = + Return (mk_array u32 2 [ 0; 0 ]) + +(** [array::const_slice]: forward function + Source: 'src/array.rs', lines 131:0-131:20 *) +let const_slice : result unit = + let* _ = array_to_slice u32 2 (mk_array u32 2 [ 0; 0 ]) in Return () + +(** [array::take_all]: forward function + Source: 'src/array.rs', lines 141:0-141:17 *) +let take_all : result unit = + let* _ = take_array (mk_array u32 2 [ 0; 0 ]) in + let* _ = take_array_borrow (mk_array u32 2 [ 0; 0 ]) in + let* s = array_to_slice u32 2 (mk_array u32 2 [ 0; 0 ]) in + let* _ = take_slice s in + let* s1 = array_to_slice u32 2 (mk_array u32 2 [ 0; 0 ]) in + let* s2 = take_mut_slice s1 in + let* _ = array_from_slice u32 2 (mk_array u32 2 [ 0; 0 ]) s2 in + Return () + +(** [array::index_array]: forward function + Source: 'src/array.rs', lines 155:0-155:38 *) +let index_array (x : array u32 2) : result u32 = + array_index_usize u32 2 x 0 + +(** [array::index_array_borrow]: forward function + Source: 'src/array.rs', lines 158:0-158:46 *) +let index_array_borrow (x : array u32 2) : result u32 = + array_index_usize u32 2 x 0 + +(** [array::index_slice_u32_0]: forward function + Source: 'src/array.rs', lines 162:0-162:42 *) +let index_slice_u32_0 (x : slice u32) : result u32 = + slice_index_usize u32 x 0 + +(** [array::index_mut_slice_u32_0]: forward function + Source: 'src/array.rs', lines 166:0-166:50 *) +let index_mut_slice_u32_0 (x : slice u32) : result u32 = + slice_index_usize u32 x 0 + +(** [array::index_mut_slice_u32_0]: backward function 0 + Source: 'src/array.rs', lines 166:0-166:50 *) +let index_mut_slice_u32_0_back (x : slice u32) : result (slice u32) = + let* _ = slice_index_usize u32 x 0 in Return x + +(** [array::index_all]: forward function + Source: 'src/array.rs', lines 170:0-170:25 *) +let index_all : result u32 = + let* i = index_array (mk_array u32 2 [ 0; 0 ]) in + let* i1 = index_array (mk_array u32 2 [ 0; 0 ]) in + let* i2 = u32_add i i1 in + let* i3 = index_array_borrow (mk_array u32 2 [ 0; 0 ]) in + let* i4 = u32_add i2 i3 in + let* s = array_to_slice u32 2 (mk_array u32 2 [ 0; 0 ]) in + let* i5 = index_slice_u32_0 s in + let* i6 = u32_add i4 i5 in + let* s1 = array_to_slice u32 2 (mk_array u32 2 [ 0; 0 ]) in + let* i7 = index_mut_slice_u32_0 s1 in + let* i8 = u32_add i6 i7 in + let* s2 = index_mut_slice_u32_0_back s1 in + let* _ = array_from_slice u32 2 (mk_array u32 2 [ 0; 0 ]) s2 in + Return i8 + +(** [array::update_array]: forward function + Source: 'src/array.rs', lines 184:0-184:36 *) +let update_array (x : array u32 2) : result unit = + let* _ = array_update_usize u32 2 x 0 1 in Return () + +(** [array::update_array_mut_borrow]: merged forward/backward function + (there is a single backward function, and the forward function returns ()) + Source: 'src/array.rs', lines 187:0-187:48 *) +let update_array_mut_borrow (x : array u32 2) : result (array u32 2) = + array_update_usize u32 2 x 0 1 + +(** [array::update_mut_slice]: merged forward/backward function + (there is a single backward function, and the forward function returns ()) + Source: 'src/array.rs', lines 190:0-190:38 *) +let update_mut_slice (x : slice u32) : result (slice u32) = + slice_update_usize u32 x 0 1 + +(** [array::update_all]: forward function + Source: 'src/array.rs', lines 194:0-194:19 *) +let update_all : result unit = + let* _ = update_array (mk_array u32 2 [ 0; 0 ]) in + let* x = update_array_mut_borrow (mk_array u32 2 [ 0; 0 ]) in + let* s = array_to_slice u32 2 x in + let* s1 = update_mut_slice s in + let* _ = array_from_slice u32 2 x s1 in + Return () + +(** [array::range_all]: forward function + Source: 'src/array.rs', lines 205:0-205:18 *) +let range_all : result unit = + let* s = + core_array_Array_index_mut u32 (core_ops_range_Range usize) 4 + (core_ops_index_IndexMutSliceTIInst u32 (core_ops_range_Range usize) + (core_slice_index_SliceIndexRangeUsizeSliceTInst u32)) + (mk_array u32 4 [ 0; 0; 0; 0 ]) { start = 1; end_ = 3 } in + let* s1 = update_mut_slice s in + let* _ = + core_array_Array_index_mut_back u32 (core_ops_range_Range usize) 4 + (core_ops_index_IndexMutSliceTIInst u32 (core_ops_range_Range usize) + (core_slice_index_SliceIndexRangeUsizeSliceTInst u32)) + (mk_array u32 4 [ 0; 0; 0; 0 ]) { start = 1; end_ = 3 } s1 in + Return () + +(** [array::deref_array_borrow]: forward function + Source: 'src/array.rs', lines 214:0-214:46 *) +let deref_array_borrow (x : array u32 2) : result u32 = + array_index_usize u32 2 x 0 + +(** [array::deref_array_mut_borrow]: forward function + Source: 'src/array.rs', lines 219:0-219:54 *) +let deref_array_mut_borrow (x : array u32 2) : result u32 = + array_index_usize u32 2 x 0 + +(** [array::deref_array_mut_borrow]: backward function 0 + Source: 'src/array.rs', lines 219:0-219:54 *) +let deref_array_mut_borrow_back (x : array u32 2) : result (array u32 2) = + let* _ = array_index_usize u32 2 x 0 in Return x + +(** [array::take_array_t]: forward function + Source: 'src/array.rs', lines 227:0-227:31 *) +let take_array_t (a : array aB_t 2) : result unit = + Return () + +(** [array::non_copyable_array]: forward function + Source: 'src/array.rs', lines 229:0-229:27 *) +let non_copyable_array : result unit = + let* _ = take_array_t (mk_array aB_t 2 [ AB_A; AB_B ]) in Return () + +(** [array::sum]: loop 0: forward function + Source: 'src/array.rs', lines 242:0-250:1 *) +let rec sum_loop + (s : slice u32) (sum1 : u32) (i : usize) : + Tot (result u32) (decreases (sum_loop_decreases s sum1 i)) + = + let i1 = slice_len u32 s in + if i < i1 + then + let* i2 = slice_index_usize u32 s i in + let* sum3 = u32_add sum1 i2 in + let* i3 = usize_add i 1 in + sum_loop s sum3 i3 + else Return sum1 + +(** [array::sum]: forward function + Source: 'src/array.rs', lines 242:0-242:28 *) +let sum (s : slice u32) : result u32 = + sum_loop s 0 0 + +(** [array::sum2]: loop 0: forward function + Source: 'src/array.rs', lines 252:0-261:1 *) +let rec sum2_loop + (s : slice u32) (s2 : slice u32) (sum1 : u32) (i : usize) : + Tot (result u32) (decreases (sum2_loop_decreases s s2 sum1 i)) + = + let i1 = slice_len u32 s in + if i < i1 + then + let* i2 = slice_index_usize u32 s i in + let* i3 = slice_index_usize u32 s2 i in + let* i4 = u32_add i2 i3 in + let* sum3 = u32_add sum1 i4 in + let* i5 = usize_add i 1 in + sum2_loop s s2 sum3 i5 + else Return sum1 + +(** [array::sum2]: forward function + Source: 'src/array.rs', lines 252:0-252:41 *) +let sum2 (s : slice u32) (s2 : slice u32) : result u32 = + let i = slice_len u32 s in + let i1 = slice_len u32 s2 in + if not (i = i1) then Fail Failure else sum2_loop s s2 0 0 + +(** [array::f0]: forward function + Source: 'src/array.rs', lines 263:0-263:11 *) +let f0 : result unit = + let* s = array_to_slice u32 2 (mk_array u32 2 [ 1; 2 ]) in + let* s1 = slice_update_usize u32 s 0 1 in + let* _ = array_from_slice u32 2 (mk_array u32 2 [ 1; 2 ]) s1 in + Return () + +(** [array::f1]: forward function + Source: 'src/array.rs', lines 268:0-268:11 *) +let f1 : result unit = + let* _ = array_update_usize u32 2 (mk_array u32 2 [ 1; 2 ]) 0 1 in Return () + +(** [array::f2]: forward function + Source: 'src/array.rs', lines 273:0-273:17 *) +let f2 (i : u32) : result unit = + Return () + +(** [array::f4]: forward function + Source: 'src/array.rs', lines 282:0-282:54 *) +let f4 (x : array u32 32) (y : usize) (z : usize) : result (slice u32) = + core_array_Array_index u32 (core_ops_range_Range usize) 32 + (core_ops_index_IndexSliceTIInst u32 (core_ops_range_Range usize) + (core_slice_index_SliceIndexRangeUsizeSliceTInst u32)) x + { start = y; end_ = z } + +(** [array::f3]: forward function + Source: 'src/array.rs', lines 275:0-275:18 *) +let f3 : result u32 = + let* i = array_index_usize u32 2 (mk_array u32 2 [ 1; 2 ]) 0 in + let* _ = f2 i in + let b = array_repeat u32 32 0 in + let* s = array_to_slice u32 2 (mk_array u32 2 [ 1; 2 ]) in + let* s1 = f4 b 16 18 in + sum2 s s1 + +(** [array::SZ] + Source: 'src/array.rs', lines 286:0-286:19 *) +let sz_body : result usize = Return 32 +let sz_c : usize = eval_global sz_body + +(** [array::f5]: forward function + Source: 'src/array.rs', lines 289:0-289:31 *) +let f5 (x : array u32 32) : result u32 = + array_index_usize u32 32 x 0 + +(** [array::ite]: forward function + Source: 'src/array.rs', lines 294:0-294:12 *) +let ite : result unit = + let* s = array_to_slice u32 2 (mk_array u32 2 [ 0; 0 ]) in + let* s1 = array_to_slice u32 2 (mk_array u32 2 [ 0; 0 ]) in + let* s2 = index_mut_slice_u32_0_back s1 in + let* _ = array_from_slice u32 2 (mk_array u32 2 [ 0; 0 ]) s2 in + let* s3 = index_mut_slice_u32_0_back s in + let* _ = array_from_slice u32 2 (mk_array u32 2 [ 0; 0 ]) s3 in + Return () + diff --git a/tests/fstar-split/array/Array.Types.fst b/tests/fstar-split/array/Array.Types.fst new file mode 100644 index 00000000..312f6018 --- /dev/null +++ b/tests/fstar-split/array/Array.Types.fst @@ -0,0 +1,11 @@ +(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *) +(** [array]: type definitions *) +module Array.Types +open Primitives + +#set-options "--z3rlimit 50 --fuel 1 --ifuel 1" + +(** [array::AB] + Source: 'src/array.rs', lines 3:0-3:11 *) +type aB_t = | AB_A : aB_t | AB_B : aB_t + diff --git a/tests/fstar-split/array/Makefile b/tests/fstar-split/array/Makefile new file mode 100644 index 00000000..fa7d1f36 --- /dev/null +++ b/tests/fstar-split/array/Makefile @@ -0,0 +1,49 @@ +# This file was automatically generated - modify ../Makefile.template instead +INCLUDE_DIRS = . + +FSTAR_INCLUDES = $(addprefix --include ,$(INCLUDE_DIRS)) + +FSTAR_HINTS ?= --use_hints --use_hint_hashes --record_hints + +FSTAR_OPTIONS = $(FSTAR_HINTS) \ + --cache_checked_modules $(FSTAR_INCLUDES) --cmi \ + --warn_error '+241@247+285-274' \ + +FSTAR_EXE ?= fstar.exe +FSTAR_NO_FLAGS = $(FSTAR_EXE) --already_cached 'Prims FStar LowStar Steel' --odir obj --cache_dir obj + +FSTAR = $(FSTAR_NO_FLAGS) $(FSTAR_OPTIONS) + +# The F* roots are used to compute the dependency graph, and generate the .depend file +FSTAR_ROOTS ?= $(wildcard *.fst *.fsti) + +# Build all the files +all: $(addprefix obj/,$(addsuffix .checked,$(FSTAR_ROOTS))) + +# This is the right way to ensure the .depend file always gets re-built. +ifeq (,$(filter %-in,$(MAKECMDGOALS))) +ifndef NODEPEND +ifndef MAKE_RESTARTS +.depend: .FORCE + $(FSTAR_NO_FLAGS) --dep full $(notdir $(FSTAR_ROOTS)) > $@ + +.PHONY: .FORCE +.FORCE: +endif +endif + +include .depend +endif + +# For the interactive mode +%.fst-in %.fsti-in: + @echo $(FSTAR_OPTIONS) + +# Generete the .checked files in batch mode +%.checked: + $(FSTAR) $(FSTAR_OPTIONS) $< && \ + touch -c $@ + +.PHONY: clean +clean: + rm -f obj/* diff --git a/tests/fstar-split/array/Primitives.fst b/tests/fstar-split/array/Primitives.fst new file mode 100644 index 00000000..a3ffbde4 --- /dev/null +++ b/tests/fstar-split/array/Primitives.fst @@ -0,0 +1,884 @@ +/// This file lists primitive and assumed functions and types +module Primitives +open FStar.Mul +open FStar.List.Tot + +#set-options "--z3rlimit 15 --fuel 0 --ifuel 1" + +(*** Utilities *) +val list_update (#a : Type0) (ls : list a) (i : nat{i < length ls}) (x : a) : + ls':list a{ + length ls' = length ls /\ + index ls' i == x + } +#push-options "--fuel 1" +let rec list_update #a ls i x = + match ls with + | x' :: ls -> if i = 0 then x :: ls else x' :: list_update ls (i-1) x +#pop-options + +(*** Result *) +type error : Type0 = +| Failure +| OutOfFuel + +type result (a : Type0) : Type0 = +| Return : v:a -> result a +| Fail : e:error -> result a + +// Monadic return operator +unfold let return (#a : Type0) (x : a) : result a = Return x + +// Monadic bind operator. +// Allows to use the notation: +// ``` +// let* x = y in +// ... +// ``` +unfold let (let*) (#a #b : Type0) (m: result a) + (f: (x:a) -> Pure (result b) (requires (m == Return x)) (ensures fun _ -> True)) : + result b = + match m with + | Return x -> f x + | Fail e -> Fail e + +// Monadic assert(...) +let massert (b:bool) : result unit = if b then Return () else Fail Failure + +// Normalize and unwrap a successful result (used for globals). +let eval_global (#a : Type0) (x : result a{Return? (normalize_term x)}) : a = Return?.v x + +(*** Misc *) +type char = FStar.Char.char +type string = string + +let is_zero (n: nat) : bool = n = 0 +let decrease (n: nat{n > 0}) : nat = n - 1 + +let core_mem_replace (a : Type0) (x : a) (y : a) : a = x +let core_mem_replace_back (a : Type0) (x : a) (y : a) : a = y + +// We don't really use raw pointers for now +type mut_raw_ptr (t : Type0) = { v : t } +type const_raw_ptr (t : Type0) = { v : t } + +(*** Scalars *) +/// Rem.: most of the following code was partially generated + +assume val size_numbits : pos + +// TODO: we could use FStar.Int.int_t and FStar.UInt.int_t + +let isize_min : int = -9223372036854775808 // TODO: should be opaque +let isize_max : int = 9223372036854775807 // TODO: should be opaque +let i8_min : int = -128 +let i8_max : int = 127 +let i16_min : int = -32768 +let i16_max : int = 32767 +let i32_min : int = -2147483648 +let i32_max : int = 2147483647 +let i64_min : int = -9223372036854775808 +let i64_max : int = 9223372036854775807 +let i128_min : int = -170141183460469231731687303715884105728 +let i128_max : int = 170141183460469231731687303715884105727 +let usize_min : int = 0 +let usize_max : int = 4294967295 // TODO: should be opaque +let u8_min : int = 0 +let u8_max : int = 255 +let u16_min : int = 0 +let u16_max : int = 65535 +let u32_min : int = 0 +let u32_max : int = 4294967295 +let u64_min : int = 0 +let u64_max : int = 18446744073709551615 +let u128_min : int = 0 +let u128_max : int = 340282366920938463463374607431768211455 + +type scalar_ty = +| Isize +| I8 +| I16 +| I32 +| I64 +| I128 +| Usize +| U8 +| U16 +| U32 +| U64 +| U128 + +let is_unsigned = function + | Isize | I8 | I16 | I32 | I64 | I128 -> false + | Usize | U8 | U16 | U32 | U64 | U128 -> true + +let scalar_min (ty : scalar_ty) : int = + match ty with + | Isize -> isize_min + | I8 -> i8_min + | I16 -> i16_min + | I32 -> i32_min + | I64 -> i64_min + | I128 -> i128_min + | Usize -> usize_min + | U8 -> u8_min + | U16 -> u16_min + | U32 -> u32_min + | U64 -> u64_min + | U128 -> u128_min + +let scalar_max (ty : scalar_ty) : int = + match ty with + | Isize -> isize_max + | I8 -> i8_max + | I16 -> i16_max + | I32 -> i32_max + | I64 -> i64_max + | I128 -> i128_max + | Usize -> usize_max + | U8 -> u8_max + | U16 -> u16_max + | U32 -> u32_max + | U64 -> u64_max + | U128 -> u128_max + +type scalar (ty : scalar_ty) : eqtype = x:int{scalar_min ty <= x && x <= scalar_max ty} + +let mk_scalar (ty : scalar_ty) (x : int) : result (scalar ty) = + if scalar_min ty <= x && scalar_max ty >= x then Return x else Fail Failure + +let scalar_neg (#ty : scalar_ty) (x : scalar ty) : result (scalar ty) = mk_scalar ty (-x) + +let scalar_div (#ty : scalar_ty) (x : scalar ty) (y : scalar ty) : result (scalar ty) = + if y <> 0 then mk_scalar ty (x / y) else Fail Failure + +/// The remainder operation +let int_rem (x : int) (y : int{y <> 0}) : int = + if x >= 0 then (x % y) else -(x % y) + +(* Checking consistency with Rust *) +let _ = assert_norm(int_rem 1 2 = 1) +let _ = assert_norm(int_rem (-1) 2 = -1) +let _ = assert_norm(int_rem 1 (-2) = 1) +let _ = assert_norm(int_rem (-1) (-2) = -1) + +let scalar_rem (#ty : scalar_ty) (x : scalar ty) (y : scalar ty) : result (scalar ty) = + if y <> 0 then mk_scalar ty (int_rem x y) else Fail Failure + +let scalar_add (#ty : scalar_ty) (x : scalar ty) (y : scalar ty) : result (scalar ty) = + mk_scalar ty (x + y) + +let scalar_sub (#ty : scalar_ty) (x : scalar ty) (y : scalar ty) : result (scalar ty) = + mk_scalar ty (x - y) + +let scalar_mul (#ty : scalar_ty) (x : scalar ty) (y : scalar ty) : result (scalar ty) = + mk_scalar ty (x * y) + +let scalar_xor (#ty : scalar_ty) + (x : scalar ty) (y : scalar ty) : scalar ty = + match ty with + | U8 -> FStar.UInt.logxor #8 x y + | U16 -> FStar.UInt.logxor #16 x y + | U32 -> FStar.UInt.logxor #32 x y + | U64 -> FStar.UInt.logxor #64 x y + | U128 -> FStar.UInt.logxor #128 x y + | Usize -> admit() // TODO + | I8 -> + // Encoding issues... + normalize_spec (FStar.Int.int_t 8); + normalize_spec (scalar I8); + FStar.Int.logxor #8 x y + | I16 -> + // Encoding issues... + normalize_spec (FStar.Int.int_t 16); + normalize_spec (scalar I16); + FStar.Int.logxor #16 x y + | I32 -> FStar.Int.logxor #32 x y + | I64 -> FStar.Int.logxor #64 x y + | I128 -> + // Encoding issues... + normalize_spec (FStar.Int.int_t 128); + normalize_spec (scalar I128); + FStar.Int.logxor #128 x y + | Isize -> admit() // TODO + +let scalar_or (#ty : scalar_ty) + (x : scalar ty) (y : scalar ty) : scalar ty = + match ty with + | U8 -> FStar.UInt.logor #8 x y + | U16 -> FStar.UInt.logor #16 x y + | U32 -> FStar.UInt.logor #32 x y + | U64 -> FStar.UInt.logor #64 x y + | U128 -> FStar.UInt.logor #128 x y + | Usize -> admit() // TODO + | I8 -> + // Encoding issues... + normalize_spec (FStar.Int.int_t 8); + normalize_spec (scalar I8); + FStar.Int.logor #8 x y + | I16 -> + // Encoding issues... + normalize_spec (FStar.Int.int_t 16); + normalize_spec (scalar I16); + FStar.Int.logor #16 x y + | I32 -> FStar.Int.logor #32 x y + | I64 -> FStar.Int.logor #64 x y + | I128 -> + // Encoding issues... + normalize_spec (FStar.Int.int_t 128); + normalize_spec (scalar I128); + FStar.Int.logor #128 x y + | Isize -> admit() // TODO + +let scalar_and (#ty : scalar_ty) + (x : scalar ty) (y : scalar ty) : scalar ty = + match ty with + | U8 -> FStar.UInt.logand #8 x y + | U16 -> FStar.UInt.logand #16 x y + | U32 -> FStar.UInt.logand #32 x y + | U64 -> FStar.UInt.logand #64 x y + | U128 -> FStar.UInt.logand #128 x y + | Usize -> admit() // TODO + | I8 -> + // Encoding issues... + normalize_spec (FStar.Int.int_t 8); + normalize_spec (scalar I8); + FStar.Int.logand #8 x y + | I16 -> + // Encoding issues... + normalize_spec (FStar.Int.int_t 16); + normalize_spec (scalar I16); + FStar.Int.logand #16 x y + | I32 -> FStar.Int.logand #32 x y + | I64 -> FStar.Int.logand #64 x y + | I128 -> + // Encoding issues... + normalize_spec (FStar.Int.int_t 128); + normalize_spec (scalar I128); + FStar.Int.logand #128 x y + | Isize -> admit() // TODO + +// Shift left +let scalar_shl (#ty0 #ty1 : scalar_ty) + (x : scalar ty0) (y : scalar ty1) : result (scalar ty0) = + admit() + +// Shift right +let scalar_shr (#ty0 #ty1 : scalar_ty) + (x : scalar ty0) (y : scalar ty1) : result (scalar ty0) = + admit() + +(** Cast an integer from a [src_ty] to a [tgt_ty] *) +// TODO: check the semantics of casts in Rust +let scalar_cast (src_ty : scalar_ty) (tgt_ty : scalar_ty) (x : scalar src_ty) : result (scalar tgt_ty) = + mk_scalar tgt_ty x + +// This can't fail, but for now we make all casts faillible (easier for the translation) +let scalar_cast_bool (tgt_ty : scalar_ty) (x : bool) : result (scalar tgt_ty) = + mk_scalar tgt_ty (if x then 1 else 0) + +/// The scalar types +type isize : eqtype = scalar Isize +type i8 : eqtype = scalar I8 +type i16 : eqtype = scalar I16 +type i32 : eqtype = scalar I32 +type i64 : eqtype = scalar I64 +type i128 : eqtype = scalar I128 +type usize : eqtype = scalar Usize +type u8 : eqtype = scalar U8 +type u16 : eqtype = scalar U16 +type u32 : eqtype = scalar U32 +type u64 : eqtype = scalar U64 +type u128 : eqtype = scalar U128 + + +let core_isize_min : isize = isize_min +let core_isize_max : isize = isize_max +let core_i8_min : i8 = i8_min +let core_i8_max : i8 = i8_max +let core_i16_min : i16 = i16_min +let core_i16_max : i16 = i16_max +let core_i32_min : i32 = i32_min +let core_i32_max : i32 = i32_max +let core_i64_min : i64 = i64_min +let core_i64_max : i64 = i64_max +let core_i128_min : i128 = i128_min +let core_i128_max : i128 = i128_max + +let core_usize_min : usize = usize_min +let core_usize_max : usize = usize_max +let core_u8_min : u8 = u8_min +let core_u8_max : u8 = u8_max +let core_u16_min : u16 = u16_min +let core_u16_max : u16 = u16_max +let core_u32_min : u32 = u32_min +let core_u32_max : u32 = u32_max +let core_u64_min : u64 = u64_min +let core_u64_max : u64 = u64_max +let core_u128_min : u128 = u128_min +let core_u128_max : u128 = u128_max + +/// Negation +let isize_neg = scalar_neg #Isize +let i8_neg = scalar_neg #I8 +let i16_neg = scalar_neg #I16 +let i32_neg = scalar_neg #I32 +let i64_neg = scalar_neg #I64 +let i128_neg = scalar_neg #I128 + +/// Division +let isize_div = scalar_div #Isize +let i8_div = scalar_div #I8 +let i16_div = scalar_div #I16 +let i32_div = scalar_div #I32 +let i64_div = scalar_div #I64 +let i128_div = scalar_div #I128 +let usize_div = scalar_div #Usize +let u8_div = scalar_div #U8 +let u16_div = scalar_div #U16 +let u32_div = scalar_div #U32 +let u64_div = scalar_div #U64 +let u128_div = scalar_div #U128 + +/// Remainder +let isize_rem = scalar_rem #Isize +let i8_rem = scalar_rem #I8 +let i16_rem = scalar_rem #I16 +let i32_rem = scalar_rem #I32 +let i64_rem = scalar_rem #I64 +let i128_rem = scalar_rem #I128 +let usize_rem = scalar_rem #Usize +let u8_rem = scalar_rem #U8 +let u16_rem = scalar_rem #U16 +let u32_rem = scalar_rem #U32 +let u64_rem = scalar_rem #U64 +let u128_rem = scalar_rem #U128 + +/// Addition +let isize_add = scalar_add #Isize +let i8_add = scalar_add #I8 +let i16_add = scalar_add #I16 +let i32_add = scalar_add #I32 +let i64_add = scalar_add #I64 +let i128_add = scalar_add #I128 +let usize_add = scalar_add #Usize +let u8_add = scalar_add #U8 +let u16_add = scalar_add #U16 +let u32_add = scalar_add #U32 +let u64_add = scalar_add #U64 +let u128_add = scalar_add #U128 + +/// Subtraction +let isize_sub = scalar_sub #Isize +let i8_sub = scalar_sub #I8 +let i16_sub = scalar_sub #I16 +let i32_sub = scalar_sub #I32 +let i64_sub = scalar_sub #I64 +let i128_sub = scalar_sub #I128 +let usize_sub = scalar_sub #Usize +let u8_sub = scalar_sub #U8 +let u16_sub = scalar_sub #U16 +let u32_sub = scalar_sub #U32 +let u64_sub = scalar_sub #U64 +let u128_sub = scalar_sub #U128 + +/// Multiplication +let isize_mul = scalar_mul #Isize +let i8_mul = scalar_mul #I8 +let i16_mul = scalar_mul #I16 +let i32_mul = scalar_mul #I32 +let i64_mul = scalar_mul #I64 +let i128_mul = scalar_mul #I128 +let usize_mul = scalar_mul #Usize +let u8_mul = scalar_mul #U8 +let u16_mul = scalar_mul #U16 +let u32_mul = scalar_mul #U32 +let u64_mul = scalar_mul #U64 +let u128_mul = scalar_mul #U128 + +/// Xor +let u8_xor = scalar_xor #U8 +let u16_xor = scalar_xor #U16 +let u32_xor = scalar_xor #U32 +let u64_xor = scalar_xor #U64 +let u128_xor = scalar_xor #U128 +let usize_xor = scalar_xor #Usize +let i8_xor = scalar_xor #I8 +let i16_xor = scalar_xor #I16 +let i32_xor = scalar_xor #I32 +let i64_xor = scalar_xor #I64 +let i128_xor = scalar_xor #I128 +let isize_xor = scalar_xor #Isize + +/// Or +let u8_or = scalar_or #U8 +let u16_or = scalar_or #U16 +let u32_or = scalar_or #U32 +let u64_or = scalar_or #U64 +let u128_or = scalar_or #U128 +let usize_or = scalar_or #Usize +let i8_or = scalar_or #I8 +let i16_or = scalar_or #I16 +let i32_or = scalar_or #I32 +let i64_or = scalar_or #I64 +let i128_or = scalar_or #I128 +let isize_or = scalar_or #Isize + +/// And +let u8_and = scalar_and #U8 +let u16_and = scalar_and #U16 +let u32_and = scalar_and #U32 +let u64_and = scalar_and #U64 +let u128_and = scalar_and #U128 +let usize_and = scalar_and #Usize +let i8_and = scalar_and #I8 +let i16_and = scalar_and #I16 +let i32_and = scalar_and #I32 +let i64_and = scalar_and #I64 +let i128_and = scalar_and #I128 +let isize_and = scalar_and #Isize + +/// Shift left +let u8_shl #ty = scalar_shl #U8 #ty +let u16_shl #ty = scalar_shl #U16 #ty +let u32_shl #ty = scalar_shl #U32 #ty +let u64_shl #ty = scalar_shl #U64 #ty +let u128_shl #ty = scalar_shl #U128 #ty +let usize_shl #ty = scalar_shl #Usize #ty +let i8_shl #ty = scalar_shl #I8 #ty +let i16_shl #ty = scalar_shl #I16 #ty +let i32_shl #ty = scalar_shl #I32 #ty +let i64_shl #ty = scalar_shl #I64 #ty +let i128_shl #ty = scalar_shl #I128 #ty +let isize_shl #ty = scalar_shl #Isize #ty + +/// Shift right +let u8_shr #ty = scalar_shr #U8 #ty +let u16_shr #ty = scalar_shr #U16 #ty +let u32_shr #ty = scalar_shr #U32 #ty +let u64_shr #ty = scalar_shr #U64 #ty +let u128_shr #ty = scalar_shr #U128 #ty +let usize_shr #ty = scalar_shr #Usize #ty +let i8_shr #ty = scalar_shr #I8 #ty +let i16_shr #ty = scalar_shr #I16 #ty +let i32_shr #ty = scalar_shr #I32 #ty +let i64_shr #ty = scalar_shr #I64 #ty +let i128_shr #ty = scalar_shr #I128 #ty +let isize_shr #ty = scalar_shr #Isize #ty + +(*** core::ops *) + +// Trait declaration: [core::ops::index::Index] +noeq type core_ops_index_Index (self idx : Type0) = { + output : Type0; + index : self → idx → result output +} + +// Trait declaration: [core::ops::index::IndexMut] +noeq type core_ops_index_IndexMut (self idx : Type0) = { + indexInst : core_ops_index_Index self idx; + index_mut : self → idx → result indexInst.output; + index_mut_back : self → idx → indexInst.output → result self; +} + +// Trait declaration [core::ops::deref::Deref] +noeq type core_ops_deref_Deref (self : Type0) = { + target : Type0; + deref : self → result target; +} + +// Trait declaration [core::ops::deref::DerefMut] +noeq type core_ops_deref_DerefMut (self : Type0) = { + derefInst : core_ops_deref_Deref self; + deref_mut : self → result derefInst.target; + deref_mut_back : self → derefInst.target → result self; +} + +type core_ops_range_Range (a : Type0) = { + start : a; + end_ : a; +} + +(*** [alloc] *) + +let alloc_boxed_Box_deref (t : Type0) (x : t) : result t = Return x +let alloc_boxed_Box_deref_mut (t : Type0) (x : t) : result t = Return x +let alloc_boxed_Box_deref_mut_back (t : Type) (_ : t) (x : t) : result t = Return x + +// Trait instance +let alloc_boxed_Box_coreopsDerefInst (self : Type0) : core_ops_deref_Deref self = { + target = self; + deref = alloc_boxed_Box_deref self; +} + +// Trait instance +let alloc_boxed_Box_coreopsDerefMutInst (self : Type0) : core_ops_deref_DerefMut self = { + derefInst = alloc_boxed_Box_coreopsDerefInst self; + deref_mut = alloc_boxed_Box_deref_mut self; + deref_mut_back = alloc_boxed_Box_deref_mut_back self; +} + +(*** Array *) +type array (a : Type0) (n : usize) = s:list a{length s = n} + +// We tried putting the normalize_term condition as a refinement on the list +// but it didn't work. It works with the requires clause. +let mk_array (a : Type0) (n : usize) + (l : list a) : + Pure (array a n) + (requires (normalize_term(FStar.List.Tot.length l) = n)) + (ensures (fun _ -> True)) = + normalize_term_spec (FStar.List.Tot.length l); + l + +let array_index_usize (a : Type0) (n : usize) (x : array a n) (i : usize) : result a = + if i < length x then Return (index x i) + else Fail Failure + +let array_update_usize (a : Type0) (n : usize) (x : array a n) (i : usize) (nx : a) : result (array a n) = + if i < length x then Return (list_update x i nx) + else Fail Failure + +(*** Slice *) +type slice (a : Type0) = s:list a{length s <= usize_max} + +let slice_len (a : Type0) (s : slice a) : usize = length s + +let slice_index_usize (a : Type0) (x : slice a) (i : usize) : result a = + if i < length x then Return (index x i) + else Fail Failure + +let slice_update_usize (a : Type0) (x : slice a) (i : usize) (nx : a) : result (slice a) = + if i < length x then Return (list_update x i nx) + else Fail Failure + +(*** Subslices *) + +let array_to_slice (a : Type0) (n : usize) (x : array a n) : result (slice a) = Return x +let array_from_slice (a : Type0) (n : usize) (x : array a n) (s : slice a) : result (array a n) = + if length s = n then Return s + else Fail Failure + +// TODO: finish the definitions below (there lacks [List.drop] and [List.take] in the standard library *) +let array_subslice (a : Type0) (n : usize) (x : array a n) (r : core_ops_range_Range usize) : result (slice a) = + admit() + +let array_update_subslice (a : Type0) (n : usize) (x : array a n) (r : core_ops_range_Range usize) (ns : slice a) : result (array a n) = + admit() + +let array_repeat (a : Type0) (n : usize) (x : a) : array a n = + admit() + +let slice_subslice (a : Type0) (x : slice a) (r : core_ops_range_Range usize) : result (slice a) = + admit() + +let slice_update_subslice (a : Type0) (x : slice a) (r : core_ops_range_Range usize) (ns : slice a) : result (slice a) = + admit() + +(*** Vector *) +type alloc_vec_Vec (a : Type0) = v:list a{length v <= usize_max} + +let alloc_vec_Vec_new (a : Type0) : alloc_vec_Vec a = assert_norm(length #a [] == 0); [] +let alloc_vec_Vec_len (a : Type0) (v : alloc_vec_Vec a) : usize = length v + +// Helper +let alloc_vec_Vec_index_usize (#a : Type0) (v : alloc_vec_Vec a) (i : usize) : result a = + if i < length v then Return (index v i) else Fail Failure +// Helper +let alloc_vec_Vec_update_usize (#a : Type0) (v : alloc_vec_Vec a) (i : usize) (x : a) : result (alloc_vec_Vec a) = + if i < length v then Return (list_update v i x) else Fail Failure + +// The **forward** function shouldn't be used +let alloc_vec_Vec_push_fwd (a : Type0) (v : alloc_vec_Vec a) (x : a) : unit = () +let alloc_vec_Vec_push (a : Type0) (v : alloc_vec_Vec a) (x : a) : + Pure (result (alloc_vec_Vec a)) + (requires True) + (ensures (fun res -> + match res with + | Fail e -> e == Failure + | Return v' -> length v' = length v + 1)) = + if length v < usize_max then begin + (**) assert_norm(length [x] == 1); + (**) append_length v [x]; + (**) assert(length (append v [x]) = length v + 1); + Return (append v [x]) + end + else Fail Failure + +// The **forward** function shouldn't be used +let alloc_vec_Vec_insert_fwd (a : Type0) (v : alloc_vec_Vec a) (i : usize) (x : a) : result unit = + if i < length v then Return () else Fail Failure +let alloc_vec_Vec_insert (a : Type0) (v : alloc_vec_Vec a) (i : usize) (x : a) : result (alloc_vec_Vec a) = + if i < length v then Return (list_update v i x) else Fail Failure + +// Trait declaration: [core::slice::index::private_slice_index::Sealed] +type core_slice_index_private_slice_index_Sealed (self : Type0) = unit + +// Trait declaration: [core::slice::index::SliceIndex] +noeq type core_slice_index_SliceIndex (self t : Type0) = { + sealedInst : core_slice_index_private_slice_index_Sealed self; + output : Type0; + get : self → t → result (option output); + get_mut : self → t → result (option output); + get_mut_back : self → t → option output → result t; + get_unchecked : self → const_raw_ptr t → result (const_raw_ptr output); + get_unchecked_mut : self → mut_raw_ptr t → result (mut_raw_ptr output); + index : self → t → result output; + index_mut : self → t → result output; + index_mut_back : self → t → output → result t; +} + +// [core::slice::index::[T]::index]: forward function +let core_slice_index_Slice_index + (t idx : Type0) (inst : core_slice_index_SliceIndex idx (slice t)) + (s : slice t) (i : idx) : result inst.output = + let* x = inst.get i s in + match x with + | None -> Fail Failure + | Some x -> Return x + +// [core::slice::index::Range:::get]: forward function +let core_slice_index_RangeUsize_get (t : Type0) (i : core_ops_range_Range usize) (s : slice t) : + result (option (slice t)) = + admit () // TODO + +// [core::slice::index::Range::get_mut]: forward function +let core_slice_index_RangeUsize_get_mut + (t : Type0) : core_ops_range_Range usize → slice t → result (option (slice t)) = + admit () // TODO + +// [core::slice::index::Range::get_mut]: backward function 0 +let core_slice_index_RangeUsize_get_mut_back + (t : Type0) : + core_ops_range_Range usize → slice t → option (slice t) → result (slice t) = + admit () // TODO + +// [core::slice::index::Range::get_unchecked]: forward function +let core_slice_index_RangeUsize_get_unchecked + (t : Type0) : + core_ops_range_Range usize → const_raw_ptr (slice t) → result (const_raw_ptr (slice t)) = + // Don't know what the model should be - for now we always fail to make + // sure code which uses it fails + fun _ _ -> Fail Failure + +// [core::slice::index::Range::get_unchecked_mut]: forward function +let core_slice_index_RangeUsize_get_unchecked_mut + (t : Type0) : + core_ops_range_Range usize → mut_raw_ptr (slice t) → result (mut_raw_ptr (slice t)) = + // Don't know what the model should be - for now we always fail to make + // sure code which uses it fails + fun _ _ -> Fail Failure + +// [core::slice::index::Range::index]: forward function +let core_slice_index_RangeUsize_index + (t : Type0) : core_ops_range_Range usize → slice t → result (slice t) = + admit () // TODO + +// [core::slice::index::Range::index_mut]: forward function +let core_slice_index_RangeUsize_index_mut + (t : Type0) : core_ops_range_Range usize → slice t → result (slice t) = + admit () // TODO + +// [core::slice::index::Range::index_mut]: backward function 0 +let core_slice_index_RangeUsize_index_mut_back + (t : Type0) : core_ops_range_Range usize → slice t → slice t → result (slice t) = + admit () // TODO + +// [core::slice::index::[T]::index_mut]: forward function +let core_slice_index_Slice_index_mut + (t idx : Type0) (inst : core_slice_index_SliceIndex idx (slice t)) : + slice t → idx → result inst.output = + admit () // + +// [core::slice::index::[T]::index_mut]: backward function 0 +let core_slice_index_Slice_index_mut_back + (t idx : Type0) (inst : core_slice_index_SliceIndex idx (slice t)) : + slice t → idx → inst.output → result (slice t) = + admit () // TODO + +// [core::array::[T; N]::index]: forward function +let core_array_Array_index + (t idx : Type0) (n : usize) (inst : core_ops_index_Index (slice t) idx) + (a : array t n) (i : idx) : result inst.output = + admit () // TODO + +// [core::array::[T; N]::index_mut]: forward function +let core_array_Array_index_mut + (t idx : Type0) (n : usize) (inst : core_ops_index_IndexMut (slice t) idx) + (a : array t n) (i : idx) : result inst.indexInst.output = + admit () // TODO + +// [core::array::[T; N]::index_mut]: backward function 0 +let core_array_Array_index_mut_back + (t idx : Type0) (n : usize) (inst : core_ops_index_IndexMut (slice t) idx) + (a : array t n) (i : idx) (x : inst.indexInst.output) : result (array t n) = + admit () // TODO + +// Trait implementation: [core::slice::index::private_slice_index::Range] +let core_slice_index_private_slice_index_SealedRangeUsizeInst + : core_slice_index_private_slice_index_Sealed (core_ops_range_Range usize) = () + +// Trait implementation: [core::slice::index::Range] +let core_slice_index_SliceIndexRangeUsizeSliceTInst (t : Type0) : + core_slice_index_SliceIndex (core_ops_range_Range usize) (slice t) = { + sealedInst = core_slice_index_private_slice_index_SealedRangeUsizeInst; + output = slice t; + get = core_slice_index_RangeUsize_get t; + get_mut = core_slice_index_RangeUsize_get_mut t; + get_mut_back = core_slice_index_RangeUsize_get_mut_back t; + get_unchecked = core_slice_index_RangeUsize_get_unchecked t; + get_unchecked_mut = core_slice_index_RangeUsize_get_unchecked_mut t; + index = core_slice_index_RangeUsize_index t; + index_mut = core_slice_index_RangeUsize_index_mut t; + index_mut_back = core_slice_index_RangeUsize_index_mut_back t; +} + +// Trait implementation: [core::slice::index::[T]] +let core_ops_index_IndexSliceTIInst (t idx : Type0) + (inst : core_slice_index_SliceIndex idx (slice t)) : + core_ops_index_Index (slice t) idx = { + output = inst.output; + index = core_slice_index_Slice_index t idx inst; +} + +// Trait implementation: [core::slice::index::[T]] +let core_ops_index_IndexMutSliceTIInst (t idx : Type0) + (inst : core_slice_index_SliceIndex idx (slice t)) : + core_ops_index_IndexMut (slice t) idx = { + indexInst = core_ops_index_IndexSliceTIInst t idx inst; + index_mut = core_slice_index_Slice_index_mut t idx inst; + index_mut_back = core_slice_index_Slice_index_mut_back t idx inst; +} + +// Trait implementation: [core::array::[T; N]] +let core_ops_index_IndexArrayInst (t idx : Type0) (n : usize) + (inst : core_ops_index_Index (slice t) idx) : + core_ops_index_Index (array t n) idx = { + output = inst.output; + index = core_array_Array_index t idx n inst; +} + +// Trait implementation: [core::array::[T; N]] +let core_ops_index_IndexMutArrayIInst (t idx : Type0) (n : usize) + (inst : core_ops_index_IndexMut (slice t) idx) : + core_ops_index_IndexMut (array t n) idx = { + indexInst = core_ops_index_IndexArrayInst t idx n inst.indexInst; + index_mut = core_array_Array_index_mut t idx n inst; + index_mut_back = core_array_Array_index_mut_back t idx n inst; +} + +// [core::slice::index::usize::get]: forward function +let core_slice_index_usize_get + (t : Type0) : usize → slice t → result (option t) = + admit () // TODO + +// [core::slice::index::usize::get_mut]: forward function +let core_slice_index_usize_get_mut + (t : Type0) : usize → slice t → result (option t) = + admit () // TODO + +// [core::slice::index::usize::get_mut]: backward function 0 +let core_slice_index_usize_get_mut_back + (t : Type0) : usize → slice t → option t → result (slice t) = + admit () // TODO + +// [core::slice::index::usize::get_unchecked]: forward function +let core_slice_index_usize_get_unchecked + (t : Type0) : usize → const_raw_ptr (slice t) → result (const_raw_ptr t) = + admit () // TODO + +// [core::slice::index::usize::get_unchecked_mut]: forward function +let core_slice_index_usize_get_unchecked_mut + (t : Type0) : usize → mut_raw_ptr (slice t) → result (mut_raw_ptr t) = + admit () // TODO + +// [core::slice::index::usize::index]: forward function +let core_slice_index_usize_index (t : Type0) : usize → slice t → result t = + admit () // TODO + +// [core::slice::index::usize::index_mut]: forward function +let core_slice_index_usize_index_mut (t : Type0) : usize → slice t → result t = + admit () // TODO + +// [core::slice::index::usize::index_mut]: backward function 0 +let core_slice_index_usize_index_mut_back + (t : Type0) : usize → slice t → t → result (slice t) = + admit () // TODO + +// Trait implementation: [core::slice::index::private_slice_index::usize] +let core_slice_index_private_slice_index_SealedUsizeInst + : core_slice_index_private_slice_index_Sealed usize = () + +// Trait implementation: [core::slice::index::usize] +let core_slice_index_SliceIndexUsizeSliceTInst (t : Type0) : + core_slice_index_SliceIndex usize (slice t) = { + sealedInst = core_slice_index_private_slice_index_SealedUsizeInst; + output = t; + get = core_slice_index_usize_get t; + get_mut = core_slice_index_usize_get_mut t; + get_mut_back = core_slice_index_usize_get_mut_back t; + get_unchecked = core_slice_index_usize_get_unchecked t; + get_unchecked_mut = core_slice_index_usize_get_unchecked_mut t; + index = core_slice_index_usize_index t; + index_mut = core_slice_index_usize_index_mut t; + index_mut_back = core_slice_index_usize_index_mut_back t; +} + +// [alloc::vec::Vec::index]: forward function +let alloc_vec_Vec_index (t idx : Type0) (inst : core_slice_index_SliceIndex idx (slice t)) + (self : alloc_vec_Vec t) (i : idx) : result inst.output = + admit () // TODO + +// [alloc::vec::Vec::index_mut]: forward function +let alloc_vec_Vec_index_mut (t idx : Type0) (inst : core_slice_index_SliceIndex idx (slice t)) + (self : alloc_vec_Vec t) (i : idx) : result inst.output = + admit () // TODO + +// [alloc::vec::Vec::index_mut]: backward function 0 +let alloc_vec_Vec_index_mut_back + (t idx : Type0) (inst : core_slice_index_SliceIndex idx (slice t)) + (self : alloc_vec_Vec t) (i : idx) (x : inst.output) : result (alloc_vec_Vec t) = + admit () // TODO + +// Trait implementation: [alloc::vec::Vec] +let alloc_vec_Vec_coreopsindexIndexInst (t idx : Type0) + (inst : core_slice_index_SliceIndex idx (slice t)) : + core_ops_index_Index (alloc_vec_Vec t) idx = { + output = inst.output; + index = alloc_vec_Vec_index t idx inst; +} + +// Trait implementation: [alloc::vec::Vec] +let alloc_vec_Vec_coreopsindexIndexMutInst (t idx : Type0) + (inst : core_slice_index_SliceIndex idx (slice t)) : + core_ops_index_IndexMut (alloc_vec_Vec t) idx = { + indexInst = alloc_vec_Vec_coreopsindexIndexInst t idx inst; + index_mut = alloc_vec_Vec_index_mut t idx inst; + index_mut_back = alloc_vec_Vec_index_mut_back t idx inst; +} + +(*** Theorems *) + +let alloc_vec_Vec_index_eq (#a : Type0) (v : alloc_vec_Vec a) (i : usize) : + Lemma ( + alloc_vec_Vec_index a usize (core_slice_index_SliceIndexUsizeSliceTInst a) v i == + alloc_vec_Vec_index_usize v i) + [SMTPat (alloc_vec_Vec_index a usize (core_slice_index_SliceIndexUsizeSliceTInst a) v i)] + = + admit() + +let alloc_vec_Vec_index_mut_eq (#a : Type0) (v : alloc_vec_Vec a) (i : usize) : + Lemma ( + alloc_vec_Vec_index_mut a usize (core_slice_index_SliceIndexUsizeSliceTInst a) v i == + alloc_vec_Vec_index_usize v i) + [SMTPat (alloc_vec_Vec_index_mut a usize (core_slice_index_SliceIndexUsizeSliceTInst a) v i)] + = + admit() + +let alloc_vec_Vec_index_mut_back_eq (#a : Type0) (v : alloc_vec_Vec a) (i : usize) (x : a) : + Lemma ( + alloc_vec_Vec_index_mut_back a usize (core_slice_index_SliceIndexUsizeSliceTInst a) v i x == + alloc_vec_Vec_update_usize v i x) + [SMTPat (alloc_vec_Vec_index_mut_back a usize (core_slice_index_SliceIndexUsizeSliceTInst a) v i x)] + = + admit() diff --git a/tests/fstar-split/betree/BetreeMain.Clauses.Template.fst b/tests/fstar-split/betree/BetreeMain.Clauses.Template.fst new file mode 100644 index 00000000..537705c5 --- /dev/null +++ b/tests/fstar-split/betree/BetreeMain.Clauses.Template.fst @@ -0,0 +1,117 @@ +(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *) +(** [betree_main]: templates for the decreases clauses *) +module BetreeMain.Clauses.Template +open Primitives +open BetreeMain.Types + +#set-options "--z3rlimit 50 --fuel 1 --ifuel 1" + +(** [betree_main::betree::{betree_main::betree::List<T>#1}::len]: decreases clause + Source: 'src/betree.rs', lines 276:4-276:24 *) +unfold +let betree_List_len_decreases (t : Type0) (self : betree_List_t t) : nat = + admit () + +(** [betree_main::betree::{betree_main::betree::List<T>#1}::split_at]: decreases clause + Source: 'src/betree.rs', lines 284:4-284:51 *) +unfold +let betree_List_split_at_decreases (t : Type0) (self : betree_List_t t) + (n : u64) : nat = + admit () + +(** [betree_main::betree::{betree_main::betree::List<(u64, T)>#2}::partition_at_pivot]: decreases clause + Source: 'src/betree.rs', lines 339:4-339:73 *) +unfold +let betree_ListTupleU64T_partition_at_pivot_decreases (t : Type0) + (self : betree_List_t (u64 & t)) (pivot : u64) : nat = + admit () + +(** [betree_main::betree::{betree_main::betree::Node#5}::lookup_first_message_for_key]: decreases clause + Source: 'src/betree.rs', lines 789:4-792:34 *) +unfold +let betree_Node_lookup_first_message_for_key_decreases (key : u64) + (msgs : betree_List_t (u64 & betree_Message_t)) : nat = + admit () + +(** [betree_main::betree::{betree_main::betree::Node#5}::lookup_in_bindings]: decreases clause + Source: 'src/betree.rs', lines 636:4-636:80 *) +unfold +let betree_Node_lookup_in_bindings_decreases (key : u64) + (bindings : betree_List_t (u64 & u64)) : nat = + admit () + +(** [betree_main::betree::{betree_main::betree::Node#5}::apply_upserts]: decreases clause + Source: 'src/betree.rs', lines 819:4-819:90 *) +unfold +let betree_Node_apply_upserts_decreases + (msgs : betree_List_t (u64 & betree_Message_t)) (prev : option u64) + (key : u64) (st : state) : nat = + admit () + +(** [betree_main::betree::{betree_main::betree::Internal#4}::lookup_in_children]: decreases clause + Source: 'src/betree.rs', lines 395:4-395:63 *) +unfold +let betree_Internal_lookup_in_children_decreases (self : betree_Internal_t) + (key : u64) (st : state) : nat = + admit () + +(** [betree_main::betree::{betree_main::betree::Node#5}::lookup]: decreases clause + Source: 'src/betree.rs', lines 709:4-709:58 *) +unfold +let betree_Node_lookup_decreases (self : betree_Node_t) (key : u64) + (st : state) : nat = + admit () + +(** [betree_main::betree::{betree_main::betree::Node#5}::filter_messages_for_key]: decreases clause + Source: 'src/betree.rs', lines 674:4-674:77 *) +unfold +let betree_Node_filter_messages_for_key_decreases (key : u64) + (msgs : betree_List_t (u64 & betree_Message_t)) : nat = + admit () + +(** [betree_main::betree::{betree_main::betree::Node#5}::lookup_first_message_after_key]: decreases clause + Source: 'src/betree.rs', lines 689:4-692:34 *) +unfold +let betree_Node_lookup_first_message_after_key_decreases (key : u64) + (msgs : betree_List_t (u64 & betree_Message_t)) : nat = + admit () + +(** [betree_main::betree::{betree_main::betree::Node#5}::apply_messages_to_internal]: decreases clause + Source: 'src/betree.rs', lines 502:4-505:5 *) +unfold +let betree_Node_apply_messages_to_internal_decreases + (msgs : betree_List_t (u64 & betree_Message_t)) + (new_msgs : betree_List_t (u64 & betree_Message_t)) : nat = + admit () + +(** [betree_main::betree::{betree_main::betree::Node#5}::lookup_mut_in_bindings]: decreases clause + Source: 'src/betree.rs', lines 653:4-656:32 *) +unfold +let betree_Node_lookup_mut_in_bindings_decreases (key : u64) + (bindings : betree_List_t (u64 & u64)) : nat = + admit () + +(** [betree_main::betree::{betree_main::betree::Node#5}::apply_messages_to_leaf]: decreases clause + Source: 'src/betree.rs', lines 444:4-447:5 *) +unfold +let betree_Node_apply_messages_to_leaf_decreases + (bindings : betree_List_t (u64 & u64)) + (new_msgs : betree_List_t (u64 & betree_Message_t)) : nat = + admit () + +(** [betree_main::betree::{betree_main::betree::Internal#4}::flush]: decreases clause + Source: 'src/betree.rs', lines 410:4-415:26 *) +unfold +let betree_Internal_flush_decreases (self : betree_Internal_t) + (params : betree_Params_t) (node_id_cnt : betree_NodeIdCounter_t) + (content : betree_List_t (u64 & betree_Message_t)) (st : state) : nat = + admit () + +(** [betree_main::betree::{betree_main::betree::Node#5}::apply_messages]: decreases clause + Source: 'src/betree.rs', lines 588:4-593:5 *) +unfold +let betree_Node_apply_messages_decreases (self : betree_Node_t) + (params : betree_Params_t) (node_id_cnt : betree_NodeIdCounter_t) + (msgs : betree_List_t (u64 & betree_Message_t)) (st : state) : nat = + admit () + diff --git a/tests/fstar-split/betree/BetreeMain.Clauses.fst b/tests/fstar-split/betree/BetreeMain.Clauses.fst new file mode 100644 index 00000000..21f953d1 --- /dev/null +++ b/tests/fstar-split/betree/BetreeMain.Clauses.fst @@ -0,0 +1,210 @@ +(** [betree_main]: templates for the decreases clauses *) +module BetreeMain.Clauses +open Primitives +open BetreeMain.Types + +#set-options "--z3rlimit 50 --fuel 0 --ifuel 1" + +(*** Well-founded relations *) + +(* We had a few issues when proving termination of the mutually recursive functions: + * - betree_Internal_flush + * - betree_Node_apply_messages + * + * The quantity which effectively decreases is: + * (betree_size, messages_length) + * where messages_length is 0 when there are no messages + * (and where we use the lexicographic ordering, of course) + * + * However, the `%[...]` and `{:well-founded ...} notations are not available outside + * of `decrease` clauses. + * + * We thus resorted to writing and proving correct a well-founded relation over + * pairs of natural numbers. The trick is that `<<` can be used outside of decrease + * clauses, and can be used to trigger SMT patterns. + * + * What follows is adapted from: + * https://www.fstar-lang.org/tutorial/book/part2/part2_well_founded.html + * + * Also, the following PR might make things easier: + * https://github.com/FStarLang/FStar/pull/2561 + *) + +module P = FStar.Preorder +module W = FStar.WellFounded +module L = FStar.LexicographicOrdering + +let lt_nat (x y:nat) : Type = x < y == true +let rec wf_lt_nat (x:nat) + : W.acc lt_nat x + = W.AccIntro (fun y _ -> wf_lt_nat y) + +// A type abbreviation for a pair of nats +let nat_pair = (x:nat & nat) + +// Making a lexicographic ordering from a pair of nat ordering +let lex_order_nat_pair : P.relation nat_pair = + L.lex_t lt_nat (fun _ -> lt_nat) + +// The lex order on nat pairs is well-founded, using our general proof +// of lexicographic composition of well-founded orders +let lex_order_nat_pair_wf : W.well_founded lex_order_nat_pair = + L.lex_t_wf wf_lt_nat (fun _ -> wf_lt_nat) + +// A utility to introduce lt_nat +let mk_lt_nat (x:nat) (y:nat { x < y }) : lt_nat x y = + let _ : equals (x < y) true = Refl in + () + +// A utility to make a lex ordering of nat pairs +let mk_lex_order_nat_pair (xy0:nat_pair) + (xy1:nat_pair { + let (|x0, y0|) = xy0 in + let (|x1, y1|) = xy1 in + x0 < x1 \/ (x0 == x1 /\ y0 < y1) + }) : lex_order_nat_pair xy0 xy1 = + let (|x0, y0|) = xy0 in + let (|x1, y1|) = xy1 in + if x0 < x1 then L.Left_lex x0 x1 y0 y1 (mk_lt_nat x0 x1) + else L.Right_lex x0 y0 y1 (mk_lt_nat y0 y1) + +let rec coerce #a #r #x (p:W.acc #a r x) : Tot (W.acc r x) (decreases p) = + W.AccIntro (fun y r -> coerce (p.access_smaller y r)) + +let coerce_wf #a #r (p: (x:a -> W.acc r x)) : x:a -> W.acc r x = + fun x -> coerce (p x) + +(* We need this axiom, which comes from the following discussion: + * https://github.com/FStarLang/FStar/issues/1916 + * An issue here is that the `{well-founded ... }` notation + *) +assume +val axiom_well_founded (a : Type) (rel : a -> a -> Type0) + (rwf : W.well_founded #a rel) (x y : a) : + Lemma (requires (rel x y)) (ensures (x << y)) + +(* This lemma has a pattern (which makes it work) *) +let wf_nat_pair_lem (p0 p1 : nat_pair) : + Lemma + (requires ( + let (|x0, y0|) = p0 in + let (|x1, y1|) = p1 in + x0 < x1 || (x0 = x1 && y0 < y1))) + (ensures (p0 << p1)) + [SMTPat (p0 << p1)] = + let rel = lex_order_nat_pair in + let rel_wf = lex_order_nat_pair_wf in + let _ = mk_lex_order_nat_pair p0 p1 in + assert(rel p0 p1); + axiom_well_founded nat_pair rel rel_wf p0 p1 + +(*** Decrease clauses *) +/// "Standard" decrease clauses + +(** [betree_main::betree::List::{1}::len]: decreases clause *) +unfold +let betree_List_len_decreases (t : Type0) (self : betree_List_t t) : betree_List_t t = + self + +(** [betree_main::betree::List::{1}::split_at]: decreases clause *) +unfold +let betree_List_split_at_decreases (t : Type0) (self : betree_List_t t) + (n : u64) : nat = + n + +(** [betree_main::betree::List::{2}::partition_at_pivot]: decreases clause *) +unfold +let betree_ListTupleU64T_partition_at_pivot_decreases (t : Type0) + (self : betree_List_t (u64 & t)) (pivot : u64) : betree_List_t (u64 & t) = + self + +(** [betree_main::betree::Node::{5}::lookup_in_bindings]: decreases clause *) +unfold +let betree_Node_lookup_in_bindings_decreases (key : u64) + (bindings : betree_List_t (u64 & u64)) : betree_List_t (u64 & u64) = + bindings + +(** [betree_main::betree::Node::{5}::lookup_first_message_for_key]: decreases clause *) +unfold +let betree_Node_lookup_first_message_for_key_decreases (key : u64) + (msgs : betree_List_t (u64 & betree_Message_t)) : betree_List_t (u64 & betree_Message_t) = + msgs + +(** [betree_main::betree::Node::{5}::apply_upserts]: decreases clause *) +unfold +let betree_Node_apply_upserts_decreases + (msgs : betree_List_t (u64 & betree_Message_t)) (prev : option u64) + (key : u64) (st : state) : betree_List_t (u64 & betree_Message_t) = + msgs + +(** [betree_main::betree::Internal::{4}::lookup_in_children]: decreases clause *) +unfold +let betree_Internal_lookup_in_children_decreases (self : betree_Internal_t) + (key : u64) (st : state) : betree_Internal_t = + self + +(** [betree_main::betree::Node::{5}::lookup]: decreases clause *) +unfold +let betree_Node_lookup_decreases (self : betree_Node_t) (key : u64) + (st : state) : betree_Node_t = + self + +(** [betree_main::betree::Node::{5}::lookup_mut_in_bindings]: decreases clause *) +unfold +let betree_Node_lookup_mut_in_bindings_decreases (key : u64) + (bindings : betree_List_t (u64 & u64)) : betree_List_t (u64 & u64) = + bindings + +unfold +let betree_Node_apply_messages_to_leaf_decreases + (bindings : betree_List_t (u64 & u64)) + (new_msgs : betree_List_t (u64 & betree_Message_t)) : betree_List_t (u64 & betree_Message_t) = + new_msgs + +(** [betree_main::betree::Node::{5}::filter_messages_for_key]: decreases clause *) +unfold +let betree_Node_filter_messages_for_key_decreases (key : u64) + (msgs : betree_List_t (u64 & betree_Message_t)) : betree_List_t (u64 & betree_Message_t) = + msgs + +(** [betree_main::betree::Node::{5}::lookup_first_message_after_key]: decreases clause *) +unfold +let betree_Node_lookup_first_message_after_key_decreases (key : u64) + (msgs : betree_List_t (u64 & betree_Message_t)) : betree_List_t (u64 & betree_Message_t) = + msgs + +let betree_Node_apply_messages_to_internal_decreases + (msgs : betree_List_t (u64 & betree_Message_t)) + (new_msgs : betree_List_t (u64 & betree_Message_t)) : betree_List_t (u64 & betree_Message_t) = + new_msgs + +(*** Decrease clauses - nat_pair *) +/// The following decrease clauses use the [nat_pair] definition and the well-founded +/// relation proven above. + +let rec betree_size (bt : betree_Node_t) : nat = + match bt with + | Betree_Node_Internal node -> 1 + betree_Internal_size node + | Betree_Node_Leaf _ -> 1 + +and betree_Internal_size (node : betree_Internal_t) : nat = + 1 + betree_size node.left + betree_size node.right + +let rec betree_List_len (#a : Type0) (ls : betree_List_t a) : nat = + match ls with + | Betree_List_Cons _ tl -> 1 + betree_List_len tl + | Betree_List_Nil -> 0 + +(** [betree_main::betree::Internal::{4}::flush]: decreases clause *) +unfold +let betree_Internal_flush_decreases (self : betree_Internal_t) + (params : betree_Params_t) (node_id_cnt : betree_NodeIdCounter_t) + (content : betree_List_t (u64 & betree_Message_t)) (st : state) : nat_pair = + (|betree_Internal_size self, 0|) + +(** [betree_main::betree::Node::{5}::apply_messages]: decreases clause *) +unfold +let betree_Node_apply_messages_decreases (self : betree_Node_t) + (params : betree_Params_t) (node_id_cnt : betree_NodeIdCounter_t) + (msgs : betree_List_t (u64 & betree_Message_t)) (st : state) : nat_pair = + (|betree_size self, betree_List_len msgs|) diff --git a/tests/fstar-split/betree/BetreeMain.Funs.fst b/tests/fstar-split/betree/BetreeMain.Funs.fst new file mode 100644 index 00000000..33133236 --- /dev/null +++ b/tests/fstar-split/betree/BetreeMain.Funs.fst @@ -0,0 +1,1006 @@ +(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *) +(** [betree_main]: function definitions *) +module BetreeMain.Funs +open Primitives +include BetreeMain.Types +include BetreeMain.FunsExternal +include BetreeMain.Clauses + +#set-options "--z3rlimit 50 --fuel 1 --ifuel 1" + +(** [betree_main::betree::load_internal_node]: forward function + Source: 'src/betree.rs', lines 36:0-36:52 *) +let betree_load_internal_node + (id : u64) (st : state) : + result (state & (betree_List_t (u64 & betree_Message_t))) + = + betree_utils_load_internal_node id st + +(** [betree_main::betree::store_internal_node]: forward function + Source: 'src/betree.rs', lines 41:0-41:60 *) +let betree_store_internal_node + (id : u64) (content : betree_List_t (u64 & betree_Message_t)) (st : state) : + result (state & unit) + = + let* (st1, _) = betree_utils_store_internal_node id content st in + Return (st1, ()) + +(** [betree_main::betree::load_leaf_node]: forward function + Source: 'src/betree.rs', lines 46:0-46:44 *) +let 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 + Source: 'src/betree.rs', lines 51:0-51:52 *) +let betree_store_leaf_node + (id : u64) (content : betree_List_t (u64 & u64)) (st : state) : + result (state & unit) + = + let* (st1, _) = betree_utils_store_leaf_node id content st in + Return (st1, ()) + +(** [betree_main::betree::fresh_node_id]: forward function + Source: 'src/betree.rs', lines 55:0-55:48 *) +let betree_fresh_node_id (counter : u64) : result u64 = + let* _ = u64_add counter 1 in Return counter + +(** [betree_main::betree::fresh_node_id]: backward function 0 + Source: 'src/betree.rs', lines 55:0-55:48 *) +let betree_fresh_node_id_back (counter : u64) : result u64 = + u64_add counter 1 + +(** [betree_main::betree::{betree_main::betree::NodeIdCounter}::new]: forward function + Source: 'src/betree.rs', lines 206:4-206:20 *) +let betree_NodeIdCounter_new : result betree_NodeIdCounter_t = + Return { next_node_id = 0 } + +(** [betree_main::betree::{betree_main::betree::NodeIdCounter}::fresh_id]: forward function + Source: 'src/betree.rs', lines 210:4-210:36 *) +let betree_NodeIdCounter_fresh_id + (self : betree_NodeIdCounter_t) : result u64 = + let* _ = u64_add self.next_node_id 1 in Return self.next_node_id + +(** [betree_main::betree::{betree_main::betree::NodeIdCounter}::fresh_id]: backward function 0 + Source: 'src/betree.rs', lines 210:4-210:36 *) +let betree_NodeIdCounter_fresh_id_back + (self : betree_NodeIdCounter_t) : result betree_NodeIdCounter_t = + let* i = u64_add self.next_node_id 1 in Return { next_node_id = i } + +(** [betree_main::betree::upsert_update]: forward function + Source: 'src/betree.rs', lines 234:0-234:70 *) +let betree_upsert_update + (prev : option u64) (st : betree_UpsertFunState_t) : result u64 = + begin match prev with + | None -> + begin match st with + | Betree_UpsertFunState_Add v -> Return v + | Betree_UpsertFunState_Sub _ -> Return 0 + end + | Some prev1 -> + begin match st with + | Betree_UpsertFunState_Add v -> + let* margin = u64_sub core_u64_max prev1 in + if margin >= v then u64_add prev1 v else Return core_u64_max + | Betree_UpsertFunState_Sub v -> + if prev1 >= v then u64_sub prev1 v else Return 0 + end + end + +(** [betree_main::betree::{betree_main::betree::List<T>#1}::len]: forward function + Source: 'src/betree.rs', lines 276:4-276:24 *) +let rec betree_List_len + (t : Type0) (self : betree_List_t t) : + Tot (result u64) (decreases (betree_List_len_decreases t self)) + = + begin match self with + | Betree_List_Cons _ tl -> let* i = betree_List_len t tl in u64_add 1 i + | Betree_List_Nil -> Return 0 + end + +(** [betree_main::betree::{betree_main::betree::List<T>#1}::split_at]: forward function + Source: 'src/betree.rs', lines 284:4-284:51 *) +let rec betree_List_split_at + (t : Type0) (self : betree_List_t t) (n : u64) : + Tot (result ((betree_List_t t) & (betree_List_t t))) + (decreases (betree_List_split_at_decreases t self n)) + = + if n = 0 + then Return (Betree_List_Nil, self) + else + begin match self with + | Betree_List_Cons hd tl -> + let* i = u64_sub n 1 in + let* p = betree_List_split_at t tl i in + let (ls0, ls1) = p in + Return (Betree_List_Cons hd ls0, ls1) + | Betree_List_Nil -> Fail Failure + 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 ()) + Source: 'src/betree.rs', lines 299:4-299:34 *) +let betree_List_push_front + (t : Type0) (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 + Return (Betree_List_Cons x tl) + +(** [betree_main::betree::{betree_main::betree::List<T>#1}::pop_front]: forward function + Source: 'src/betree.rs', lines 306:4-306:32 *) +let betree_List_pop_front (t : Type0) (self : betree_List_t t) : result t = + let ls = core_mem_replace (betree_List_t t) self Betree_List_Nil in + begin match ls with + | Betree_List_Cons x _ -> Return x + | 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 *) +let betree_List_pop_front_back + (t : Type0) (self : betree_List_t t) : result (betree_List_t t) = + let ls = core_mem_replace (betree_List_t t) self Betree_List_Nil in + begin match ls with + | Betree_List_Cons _ tl -> Return tl + | Betree_List_Nil -> Fail Failure + end + +(** [betree_main::betree::{betree_main::betree::List<T>#1}::hd]: forward function + Source: 'src/betree.rs', lines 318:4-318:22 *) +let betree_List_hd (t : Type0) (self : betree_List_t t) : result t = + begin match self with + | 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 + Source: 'src/betree.rs', lines 327:4-327:44 *) +let betree_ListTupleU64T_head_has_key + (t : Type0) (self : betree_List_t (u64 & t)) (key : u64) : result bool = + begin match self with + | Betree_List_Cons hd _ -> let (i, _) = hd in Return (i = key) + | Betree_List_Nil -> Return false + end + +(** [betree_main::betree::{betree_main::betree::List<(u64, T)>#2}::partition_at_pivot]: forward function + Source: 'src/betree.rs', lines 339:4-339:73 *) +let rec betree_ListTupleU64T_partition_at_pivot + (t : Type0) (self : betree_List_t (u64 & t)) (pivot : u64) : + Tot (result ((betree_List_t (u64 & t)) & (betree_List_t (u64 & t)))) + (decreases (betree_ListTupleU64T_partition_at_pivot_decreases t self pivot)) + = + begin match self with + | Betree_List_Cons hd tl -> + let (i, x) = hd in + if i >= pivot + then Return (Betree_List_Nil, Betree_List_Cons (i, x) tl) + else + let* p = betree_ListTupleU64T_partition_at_pivot t tl pivot in + let (ls0, ls1) = p in + Return (Betree_List_Cons (i, x) ls0, ls1) + | Betree_List_Nil -> Return (Betree_List_Nil, Betree_List_Nil) + end + +(** [betree_main::betree::{betree_main::betree::Leaf#3}::split]: forward function + Source: 'src/betree.rs', lines 359:4-364:17 *) +let betree_Leaf_split + (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) + = + let* p = betree_List_split_at (u64 & u64) content params.split_size in + let (content0, content1) = p in + let* p1 = betree_List_hd (u64 & u64) content1 in + let (pivot, _) = p1 in + let* id0 = betree_NodeIdCounter_fresh_id node_id_cnt in + let* node_id_cnt1 = betree_NodeIdCounter_fresh_id_back node_id_cnt in + let* id1 = betree_NodeIdCounter_fresh_id node_id_cnt1 in + let* (st1, _) = betree_store_leaf_node id0 content0 st in + let* (st2, _) = betree_store_leaf_node id1 content1 st1 in + let n = Betree_Node_Leaf { id = id0; size = params.split_size } in + let n1 = Betree_Node_Leaf { id = id1; size = params.split_size } in + Return (st2, { id = self.id; pivot = pivot; left = n; right = n1 }) + +(** [betree_main::betree::{betree_main::betree::Leaf#3}::split]: backward function 2 + Source: 'src/betree.rs', lines 359:4-364:17 *) +let betree_Leaf_split_back + (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 + = + let* p = betree_List_split_at (u64 & u64) content params.split_size in + let (content0, content1) = p in + let* _ = betree_List_hd (u64 & u64) content1 in + let* id0 = betree_NodeIdCounter_fresh_id node_id_cnt in + let* node_id_cnt1 = betree_NodeIdCounter_fresh_id_back node_id_cnt in + let* id1 = betree_NodeIdCounter_fresh_id node_id_cnt1 in + let* (st1, _) = betree_store_leaf_node id0 content0 st in + let* _ = betree_store_leaf_node id1 content1 st1 in + betree_NodeIdCounter_fresh_id_back node_id_cnt1 + +(** [betree_main::betree::{betree_main::betree::Node#5}::lookup_first_message_for_key]: forward function + Source: 'src/betree.rs', lines 789:4-792:34 *) +let rec betree_Node_lookup_first_message_for_key + (key : u64) (msgs : betree_List_t (u64 & betree_Message_t)) : + Tot (result (betree_List_t (u64 & betree_Message_t))) + (decreases (betree_Node_lookup_first_message_for_key_decreases key msgs)) + = + begin match msgs with + | Betree_List_Cons x next_msgs -> + let (i, m) = x in + if i >= key + then Return (Betree_List_Cons (i, m) next_msgs) + else betree_Node_lookup_first_message_for_key key next_msgs + | Betree_List_Nil -> Return Betree_List_Nil + 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 *) +let rec betree_Node_lookup_first_message_for_key_back + (key : u64) (msgs : betree_List_t (u64 & betree_Message_t)) + (ret : betree_List_t (u64 & betree_Message_t)) : + Tot (result (betree_List_t (u64 & betree_Message_t))) + (decreases (betree_Node_lookup_first_message_for_key_decreases key msgs)) + = + begin match msgs with + | Betree_List_Cons x next_msgs -> + let (i, m) = x in + if i >= key + then Return ret + else + let* next_msgs1 = + betree_Node_lookup_first_message_for_key_back key next_msgs ret in + Return (Betree_List_Cons (i, m) next_msgs1) + | Betree_List_Nil -> Return ret + end + +(** [betree_main::betree::{betree_main::betree::Node#5}::lookup_in_bindings]: forward function + Source: 'src/betree.rs', lines 636:4-636:80 *) +let rec betree_Node_lookup_in_bindings + (key : u64) (bindings : betree_List_t (u64 & u64)) : + Tot (result (option u64)) + (decreases (betree_Node_lookup_in_bindings_decreases key bindings)) + = + begin match bindings with + | Betree_List_Cons hd tl -> + let (i, i1) = hd in + if i = key + then Return (Some i1) + else if i > key then Return None else betree_Node_lookup_in_bindings key tl + | Betree_List_Nil -> Return None + end + +(** [betree_main::betree::{betree_main::betree::Node#5}::apply_upserts]: forward function + Source: 'src/betree.rs', lines 819:4-819:90 *) +let rec betree_Node_apply_upserts + (msgs : betree_List_t (u64 & betree_Message_t)) (prev : option u64) + (key : u64) (st : state) : + Tot (result (state & u64)) + (decreases (betree_Node_apply_upserts_decreases msgs prev key st)) + = + let* b = betree_ListTupleU64T_head_has_key betree_Message_t msgs key in + if b + then + let* msg = betree_List_pop_front (u64 & betree_Message_t) msgs in + let (_, m) = msg in + begin match m with + | Betree_Message_Insert _ -> Fail Failure + | Betree_Message_Delete -> Fail Failure + | Betree_Message_Upsert s -> + let* v = betree_upsert_update prev s in + let* msgs1 = betree_List_pop_front_back (u64 & betree_Message_t) msgs in + betree_Node_apply_upserts msgs1 (Some v) key st + end + else + let* (st1, v) = core_option_Option_unwrap u64 prev st in + let* _ = + betree_List_push_front (u64 & betree_Message_t) msgs (key, + Betree_Message_Insert v) in + Return (st1, v) + +(** [betree_main::betree::{betree_main::betree::Node#5}::apply_upserts]: backward function 0 + Source: 'src/betree.rs', lines 819:4-819:90 *) +let rec betree_Node_apply_upserts_back + (msgs : betree_List_t (u64 & betree_Message_t)) (prev : option u64) + (key : u64) (st : state) : + Tot (result (betree_List_t (u64 & betree_Message_t))) + (decreases (betree_Node_apply_upserts_decreases msgs prev key st)) + = + let* b = betree_ListTupleU64T_head_has_key betree_Message_t msgs key in + if b + then + let* msg = betree_List_pop_front (u64 & betree_Message_t) msgs in + let (_, m) = msg in + begin match m with + | Betree_Message_Insert _ -> Fail Failure + | Betree_Message_Delete -> Fail Failure + | Betree_Message_Upsert s -> + let* v = betree_upsert_update prev s in + let* msgs1 = betree_List_pop_front_back (u64 & betree_Message_t) msgs in + betree_Node_apply_upserts_back msgs1 (Some v) key st + end + else + let* (_, v) = core_option_Option_unwrap u64 prev st in + betree_List_push_front (u64 & betree_Message_t) msgs (key, + Betree_Message_Insert v) + +(** [betree_main::betree::{betree_main::betree::Internal#4}::lookup_in_children]: forward function + Source: 'src/betree.rs', lines 395:4-395:63 *) +let rec betree_Internal_lookup_in_children + (self : betree_Internal_t) (key : u64) (st : state) : + Tot (result (state & (option u64))) + (decreases (betree_Internal_lookup_in_children_decreases self key st)) + = + if key < self.pivot + then betree_Node_lookup self.left key st + else betree_Node_lookup self.right key st + +(** [betree_main::betree::{betree_main::betree::Internal#4}::lookup_in_children]: backward function 0 + Source: 'src/betree.rs', lines 395:4-395:63 *) +and betree_Internal_lookup_in_children_back + (self : betree_Internal_t) (key : u64) (st : state) : + Tot (result betree_Internal_t) + (decreases (betree_Internal_lookup_in_children_decreases self key st)) + = + if key < self.pivot + then + let* n = betree_Node_lookup_back self.left key st in + Return { self with left = n } + else + let* n = betree_Node_lookup_back self.right key st in + Return { self with right = n } + +(** [betree_main::betree::{betree_main::betree::Node#5}::lookup]: forward function + Source: 'src/betree.rs', lines 709:4-709:58 *) +and betree_Node_lookup + (self : betree_Node_t) (key : u64) (st : state) : + Tot (result (state & (option u64))) + (decreases (betree_Node_lookup_decreases self key st)) + = + begin match self with + | Betree_Node_Internal node -> + let* (st1, msgs) = betree_load_internal_node node.id st in + let* pending = betree_Node_lookup_first_message_for_key key msgs in + begin match pending with + | Betree_List_Cons p l -> + let (k, msg) = p in + if k <> key + then + let* (st2, o) = betree_Internal_lookup_in_children node key st1 in + let* _ = + betree_Node_lookup_first_message_for_key_back key msgs + (Betree_List_Cons (k, msg) l) in + Return (st2, o) + else + begin match msg with + | Betree_Message_Insert v -> + let* _ = + betree_Node_lookup_first_message_for_key_back key msgs + (Betree_List_Cons (k, Betree_Message_Insert v) l) in + Return (st1, Some v) + | Betree_Message_Delete -> + let* _ = + betree_Node_lookup_first_message_for_key_back key msgs + (Betree_List_Cons (k, Betree_Message_Delete) l) in + Return (st1, None) + | Betree_Message_Upsert ufs -> + let* (st2, v) = betree_Internal_lookup_in_children node key st1 in + let* (st3, v1) = + betree_Node_apply_upserts (Betree_List_Cons (k, + Betree_Message_Upsert ufs) l) v key st2 in + let* node1 = betree_Internal_lookup_in_children_back node key st1 in + let* pending1 = + betree_Node_apply_upserts_back (Betree_List_Cons (k, + Betree_Message_Upsert ufs) l) v key st2 in + let* msgs1 = + betree_Node_lookup_first_message_for_key_back key msgs pending1 in + let* (st4, _) = betree_store_internal_node node1.id msgs1 st3 in + Return (st4, Some v1) + end + | Betree_List_Nil -> + let* (st2, o) = betree_Internal_lookup_in_children node key st1 in + let* _ = + betree_Node_lookup_first_message_for_key_back key msgs Betree_List_Nil + in + Return (st2, o) + end + | Betree_Node_Leaf node -> + let* (st1, bindings) = betree_load_leaf_node node.id st in + let* o = betree_Node_lookup_in_bindings key bindings in + Return (st1, o) + end + +(** [betree_main::betree::{betree_main::betree::Node#5}::lookup]: backward function 0 + Source: 'src/betree.rs', lines 709:4-709:58 *) +and betree_Node_lookup_back + (self : betree_Node_t) (key : u64) (st : state) : + Tot (result betree_Node_t) + (decreases (betree_Node_lookup_decreases self key st)) + = + begin match self with + | Betree_Node_Internal node -> + let* (st1, msgs) = betree_load_internal_node node.id st in + let* pending = betree_Node_lookup_first_message_for_key key msgs in + begin match pending with + | Betree_List_Cons p l -> + let (k, msg) = p in + if k <> key + then + let* _ = + betree_Node_lookup_first_message_for_key_back key msgs + (Betree_List_Cons (k, msg) l) in + let* node1 = betree_Internal_lookup_in_children_back node key st1 in + Return (Betree_Node_Internal node1) + else + begin match msg with + | Betree_Message_Insert v -> + let* _ = + betree_Node_lookup_first_message_for_key_back key msgs + (Betree_List_Cons (k, Betree_Message_Insert v) l) in + Return (Betree_Node_Internal node) + | Betree_Message_Delete -> + let* _ = + betree_Node_lookup_first_message_for_key_back key msgs + (Betree_List_Cons (k, Betree_Message_Delete) l) in + Return (Betree_Node_Internal node) + | Betree_Message_Upsert ufs -> + let* (st2, v) = betree_Internal_lookup_in_children node key st1 in + let* (st3, _) = + betree_Node_apply_upserts (Betree_List_Cons (k, + Betree_Message_Upsert ufs) l) v key st2 in + let* node1 = betree_Internal_lookup_in_children_back node key st1 in + let* pending1 = + betree_Node_apply_upserts_back (Betree_List_Cons (k, + Betree_Message_Upsert ufs) l) v key st2 in + let* msgs1 = + betree_Node_lookup_first_message_for_key_back key msgs pending1 in + let* _ = betree_store_internal_node node1.id msgs1 st3 in + Return (Betree_Node_Internal node1) + end + | Betree_List_Nil -> + let* _ = + betree_Node_lookup_first_message_for_key_back key msgs Betree_List_Nil + in + let* node1 = betree_Internal_lookup_in_children_back node key st1 in + Return (Betree_Node_Internal node1) + end + | Betree_Node_Leaf node -> + let* (_, bindings) = betree_load_leaf_node node.id st in + let* _ = betree_Node_lookup_in_bindings key bindings in + Return (Betree_Node_Leaf node) + 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 ()) + Source: 'src/betree.rs', lines 674:4-674:77 *) +let rec betree_Node_filter_messages_for_key + (key : u64) (msgs : betree_List_t (u64 & betree_Message_t)) : + Tot (result (betree_List_t (u64 & betree_Message_t))) + (decreases (betree_Node_filter_messages_for_key_decreases key msgs)) + = + begin match msgs with + | Betree_List_Cons p l -> + let (k, m) = p in + if k = key + then + let* msgs1 = + betree_List_pop_front_back (u64 & betree_Message_t) (Betree_List_Cons + (k, m) l) in + betree_Node_filter_messages_for_key key msgs1 + else Return (Betree_List_Cons (k, m) l) + | Betree_List_Nil -> Return Betree_List_Nil + end + +(** [betree_main::betree::{betree_main::betree::Node#5}::lookup_first_message_after_key]: forward function + Source: 'src/betree.rs', lines 689:4-692:34 *) +let rec betree_Node_lookup_first_message_after_key + (key : u64) (msgs : betree_List_t (u64 & betree_Message_t)) : + Tot (result (betree_List_t (u64 & betree_Message_t))) + (decreases (betree_Node_lookup_first_message_after_key_decreases key msgs)) + = + begin match msgs with + | Betree_List_Cons p next_msgs -> + let (k, m) = p in + if k = key + then betree_Node_lookup_first_message_after_key key next_msgs + else Return (Betree_List_Cons (k, m) next_msgs) + | Betree_List_Nil -> Return Betree_List_Nil + 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 *) +let rec betree_Node_lookup_first_message_after_key_back + (key : u64) (msgs : betree_List_t (u64 & betree_Message_t)) + (ret : betree_List_t (u64 & betree_Message_t)) : + Tot (result (betree_List_t (u64 & betree_Message_t))) + (decreases (betree_Node_lookup_first_message_after_key_decreases key msgs)) + = + begin match msgs with + | Betree_List_Cons p next_msgs -> + let (k, m) = p in + if k = key + then + let* next_msgs1 = + betree_Node_lookup_first_message_after_key_back key next_msgs ret in + Return (Betree_List_Cons (k, m) next_msgs1) + else Return ret + | Betree_List_Nil -> Return ret + 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 ()) + Source: 'src/betree.rs', lines 521:4-521:89 *) +let betree_Node_apply_to_internal + (msgs : betree_List_t (u64 & betree_Message_t)) (key : u64) + (new_msg : betree_Message_t) : + result (betree_List_t (u64 & betree_Message_t)) + = + let* msgs1 = betree_Node_lookup_first_message_for_key key msgs in + let* b = betree_ListTupleU64T_head_has_key betree_Message_t msgs1 key in + if b + then + begin match new_msg with + | Betree_Message_Insert i -> + let* msgs2 = betree_Node_filter_messages_for_key key msgs1 in + let* msgs3 = + betree_List_push_front (u64 & betree_Message_t) msgs2 (key, + Betree_Message_Insert i) in + betree_Node_lookup_first_message_for_key_back key msgs msgs3 + | Betree_Message_Delete -> + let* msgs2 = betree_Node_filter_messages_for_key key msgs1 in + let* msgs3 = + betree_List_push_front (u64 & betree_Message_t) msgs2 (key, + Betree_Message_Delete) in + betree_Node_lookup_first_message_for_key_back key msgs msgs3 + | Betree_Message_Upsert s -> + let* p = betree_List_hd (u64 & betree_Message_t) msgs1 in + let (_, m) = p in + begin match m with + | Betree_Message_Insert prev -> + let* v = betree_upsert_update (Some prev) s in + let* msgs2 = betree_List_pop_front_back (u64 & betree_Message_t) msgs1 + in + let* msgs3 = + betree_List_push_front (u64 & betree_Message_t) msgs2 (key, + Betree_Message_Insert v) in + betree_Node_lookup_first_message_for_key_back key msgs msgs3 + | Betree_Message_Delete -> + let* v = betree_upsert_update None s in + let* msgs2 = betree_List_pop_front_back (u64 & betree_Message_t) msgs1 + in + let* msgs3 = + betree_List_push_front (u64 & betree_Message_t) msgs2 (key, + Betree_Message_Insert v) in + betree_Node_lookup_first_message_for_key_back key msgs msgs3 + | Betree_Message_Upsert _ -> + let* msgs2 = betree_Node_lookup_first_message_after_key key msgs1 in + let* msgs3 = + betree_List_push_front (u64 & betree_Message_t) msgs2 (key, + Betree_Message_Upsert s) in + let* msgs4 = + betree_Node_lookup_first_message_after_key_back key msgs1 msgs3 in + betree_Node_lookup_first_message_for_key_back key msgs msgs4 + end + end + else + let* msgs2 = + betree_List_push_front (u64 & betree_Message_t) msgs1 (key, new_msg) in + betree_Node_lookup_first_message_for_key_back key msgs msgs2 + +(** [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 ()) + Source: 'src/betree.rs', lines 502:4-505:5 *) +let rec betree_Node_apply_messages_to_internal + (msgs : betree_List_t (u64 & betree_Message_t)) + (new_msgs : betree_List_t (u64 & betree_Message_t)) : + Tot (result (betree_List_t (u64 & betree_Message_t))) + (decreases (betree_Node_apply_messages_to_internal_decreases msgs new_msgs)) + = + begin match new_msgs with + | Betree_List_Cons new_msg new_msgs_tl -> + let (i, m) = new_msg in + let* msgs1 = betree_Node_apply_to_internal msgs i m in + betree_Node_apply_messages_to_internal msgs1 new_msgs_tl + | Betree_List_Nil -> Return msgs + end + +(** [betree_main::betree::{betree_main::betree::Node#5}::lookup_mut_in_bindings]: forward function + Source: 'src/betree.rs', lines 653:4-656:32 *) +let rec betree_Node_lookup_mut_in_bindings + (key : u64) (bindings : betree_List_t (u64 & u64)) : + Tot (result (betree_List_t (u64 & u64))) + (decreases (betree_Node_lookup_mut_in_bindings_decreases key bindings)) + = + begin match bindings with + | Betree_List_Cons hd tl -> + let (i, i1) = hd in + if i >= key + then Return (Betree_List_Cons (i, i1) tl) + else betree_Node_lookup_mut_in_bindings key tl + | Betree_List_Nil -> Return Betree_List_Nil + 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 *) +let rec betree_Node_lookup_mut_in_bindings_back + (key : u64) (bindings : betree_List_t (u64 & u64)) + (ret : betree_List_t (u64 & u64)) : + Tot (result (betree_List_t (u64 & u64))) + (decreases (betree_Node_lookup_mut_in_bindings_decreases key bindings)) + = + begin match bindings with + | Betree_List_Cons hd tl -> + let (i, i1) = hd in + if i >= key + then Return ret + else + let* tl1 = betree_Node_lookup_mut_in_bindings_back key tl ret in + Return (Betree_List_Cons (i, i1) tl1) + | Betree_List_Nil -> Return ret + 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 ()) + Source: 'src/betree.rs', lines 460:4-460:87 *) +let betree_Node_apply_to_leaf + (bindings : betree_List_t (u64 & u64)) (key : u64) + (new_msg : betree_Message_t) : + result (betree_List_t (u64 & u64)) + = + let* bindings1 = betree_Node_lookup_mut_in_bindings key bindings in + let* b = betree_ListTupleU64T_head_has_key u64 bindings1 key in + if b + then + let* hd = betree_List_pop_front (u64 & u64) bindings1 in + begin match new_msg with + | Betree_Message_Insert v -> + let* bindings2 = betree_List_pop_front_back (u64 & u64) bindings1 in + let* bindings3 = betree_List_push_front (u64 & u64) bindings2 (key, v) in + betree_Node_lookup_mut_in_bindings_back key bindings bindings3 + | Betree_Message_Delete -> + let* bindings2 = betree_List_pop_front_back (u64 & u64) bindings1 in + betree_Node_lookup_mut_in_bindings_back key bindings bindings2 + | Betree_Message_Upsert s -> + let (_, i) = hd in + let* v = betree_upsert_update (Some i) s in + let* bindings2 = betree_List_pop_front_back (u64 & u64) bindings1 in + let* bindings3 = betree_List_push_front (u64 & u64) bindings2 (key, v) in + betree_Node_lookup_mut_in_bindings_back key bindings bindings3 + end + else + begin match new_msg with + | Betree_Message_Insert v -> + let* bindings2 = betree_List_push_front (u64 & u64) bindings1 (key, v) in + betree_Node_lookup_mut_in_bindings_back key bindings bindings2 + | Betree_Message_Delete -> + betree_Node_lookup_mut_in_bindings_back key bindings bindings1 + | Betree_Message_Upsert s -> + let* v = betree_upsert_update None s in + let* bindings2 = betree_List_push_front (u64 & u64) bindings1 (key, v) in + betree_Node_lookup_mut_in_bindings_back key bindings bindings2 + 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 ()) + Source: 'src/betree.rs', lines 444:4-447:5 *) +let rec betree_Node_apply_messages_to_leaf + (bindings : betree_List_t (u64 & u64)) + (new_msgs : betree_List_t (u64 & betree_Message_t)) : + Tot (result (betree_List_t (u64 & u64))) + (decreases (betree_Node_apply_messages_to_leaf_decreases bindings new_msgs)) + = + begin match new_msgs with + | Betree_List_Cons new_msg new_msgs_tl -> + let (i, m) = new_msg in + let* bindings1 = betree_Node_apply_to_leaf bindings i m in + betree_Node_apply_messages_to_leaf bindings1 new_msgs_tl + | Betree_List_Nil -> Return bindings + end + +(** [betree_main::betree::{betree_main::betree::Internal#4}::flush]: forward function + Source: 'src/betree.rs', lines 410:4-415:26 *) +let rec betree_Internal_flush + (self : betree_Internal_t) (params : betree_Params_t) + (node_id_cnt : betree_NodeIdCounter_t) + (content : betree_List_t (u64 & betree_Message_t)) (st : state) : + Tot (result (state & (betree_List_t (u64 & betree_Message_t)))) + (decreases ( + betree_Internal_flush_decreases self params node_id_cnt content st)) + = + let* p = + betree_ListTupleU64T_partition_at_pivot betree_Message_t content self.pivot + in + let (msgs_left, msgs_right) = p in + let* len_left = betree_List_len (u64 & betree_Message_t) msgs_left in + if len_left >= params.min_flush_size + then + let* (st1, _) = + betree_Node_apply_messages self.left params node_id_cnt msgs_left st in + let* (_, node_id_cnt1) = + betree_Node_apply_messages_back self.left params node_id_cnt msgs_left st + in + let* len_right = betree_List_len (u64 & betree_Message_t) msgs_right in + if len_right >= params.min_flush_size + then + let* (st2, _) = + betree_Node_apply_messages self.right params node_id_cnt1 msgs_right + st1 in + let* _ = + betree_Node_apply_messages_back self.right params node_id_cnt1 + msgs_right st1 in + Return (st2, Betree_List_Nil) + else Return (st1, msgs_right) + else + let* (st1, _) = + betree_Node_apply_messages self.right params node_id_cnt msgs_right st in + let* _ = + betree_Node_apply_messages_back self.right params node_id_cnt msgs_right + st in + Return (st1, msgs_left) + +(** [betree_main::betree::{betree_main::betree::Internal#4}::flush]: backward function 0 + Source: 'src/betree.rs', lines 410:4-415:26 *) +and betree_Internal_flush_back + (self : betree_Internal_t) (params : betree_Params_t) + (node_id_cnt : betree_NodeIdCounter_t) + (content : betree_List_t (u64 & betree_Message_t)) (st : state) : + Tot (result (betree_Internal_t & betree_NodeIdCounter_t)) + (decreases ( + betree_Internal_flush_decreases self params node_id_cnt content st)) + = + let* p = + betree_ListTupleU64T_partition_at_pivot betree_Message_t content self.pivot + in + let (msgs_left, msgs_right) = p in + let* len_left = betree_List_len (u64 & betree_Message_t) msgs_left in + if len_left >= params.min_flush_size + then + let* (st1, _) = + betree_Node_apply_messages self.left params node_id_cnt msgs_left st in + let* (n, node_id_cnt1) = + betree_Node_apply_messages_back self.left params node_id_cnt msgs_left st + in + let* len_right = betree_List_len (u64 & betree_Message_t) msgs_right in + if len_right >= params.min_flush_size + then + let* (n1, node_id_cnt2) = + betree_Node_apply_messages_back self.right params node_id_cnt1 + msgs_right st1 in + Return ({ self with left = n; right = n1 }, node_id_cnt2) + else Return ({ self with left = n }, node_id_cnt1) + else + let* (n, node_id_cnt1) = + betree_Node_apply_messages_back self.right params node_id_cnt msgs_right + st in + Return ({ self with right = n }, node_id_cnt1) + +(** [betree_main::betree::{betree_main::betree::Node#5}::apply_messages]: forward function + Source: 'src/betree.rs', lines 588:4-593:5 *) +and betree_Node_apply_messages + (self : betree_Node_t) (params : betree_Params_t) + (node_id_cnt : betree_NodeIdCounter_t) + (msgs : betree_List_t (u64 & betree_Message_t)) (st : state) : + Tot (result (state & unit)) + (decreases ( + betree_Node_apply_messages_decreases self params node_id_cnt msgs st)) + = + begin match self with + | Betree_Node_Internal node -> + let* (st1, content) = betree_load_internal_node node.id st in + let* content1 = betree_Node_apply_messages_to_internal content msgs in + let* num_msgs = betree_List_len (u64 & betree_Message_t) content1 in + if num_msgs >= params.min_flush_size + then + let* (st2, content2) = + betree_Internal_flush node params node_id_cnt content1 st1 in + let* (node1, _) = + betree_Internal_flush_back node params node_id_cnt content1 st1 in + let* (st3, _) = betree_store_internal_node node1.id content2 st2 in + Return (st3, ()) + else + let* (st2, _) = betree_store_internal_node node.id content1 st1 in + Return (st2, ()) + | Betree_Node_Leaf node -> + let* (st1, content) = betree_load_leaf_node node.id st in + let* content1 = betree_Node_apply_messages_to_leaf content msgs in + let* len = betree_List_len (u64 & u64) content1 in + let* i = u64_mul 2 params.split_size in + if len >= i + then + let* (st2, _) = betree_Leaf_split node content1 params node_id_cnt st1 in + let* (st3, _) = betree_store_leaf_node node.id Betree_List_Nil st2 in + Return (st3, ()) + else + let* (st2, _) = betree_store_leaf_node node.id content1 st1 in + Return (st2, ()) + end + +(** [betree_main::betree::{betree_main::betree::Node#5}::apply_messages]: backward function 0 + Source: 'src/betree.rs', lines 588:4-593:5 *) +and betree_Node_apply_messages_back + (self : betree_Node_t) (params : betree_Params_t) + (node_id_cnt : betree_NodeIdCounter_t) + (msgs : betree_List_t (u64 & betree_Message_t)) (st : state) : + Tot (result (betree_Node_t & betree_NodeIdCounter_t)) + (decreases ( + betree_Node_apply_messages_decreases self params node_id_cnt msgs st)) + = + begin match self with + | Betree_Node_Internal node -> + let* (st1, content) = betree_load_internal_node node.id st in + let* content1 = betree_Node_apply_messages_to_internal content msgs in + let* num_msgs = betree_List_len (u64 & betree_Message_t) content1 in + if num_msgs >= params.min_flush_size + then + let* (st2, content2) = + betree_Internal_flush node params node_id_cnt content1 st1 in + let* (node1, node_id_cnt1) = + betree_Internal_flush_back node params node_id_cnt content1 st1 in + let* _ = betree_store_internal_node node1.id content2 st2 in + Return (Betree_Node_Internal node1, node_id_cnt1) + else + let* _ = betree_store_internal_node node.id content1 st1 in + Return (Betree_Node_Internal node, node_id_cnt) + | Betree_Node_Leaf node -> + let* (st1, content) = betree_load_leaf_node node.id st in + let* content1 = betree_Node_apply_messages_to_leaf content msgs in + let* len = betree_List_len (u64 & u64) content1 in + let* i = u64_mul 2 params.split_size in + if len >= i + then + let* (st2, new_node) = + betree_Leaf_split node content1 params node_id_cnt st1 in + let* _ = betree_store_leaf_node node.id Betree_List_Nil st2 in + let* node_id_cnt1 = + betree_Leaf_split_back node content1 params node_id_cnt st1 in + Return (Betree_Node_Internal new_node, node_id_cnt1) + else + let* _ = betree_store_leaf_node node.id content1 st1 in + Return (Betree_Node_Leaf { node with size = len }, node_id_cnt) + end + +(** [betree_main::betree::{betree_main::betree::Node#5}::apply]: forward function + Source: 'src/betree.rs', lines 576:4-582:5 *) +let betree_Node_apply + (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) + = + let* (st1, _) = + betree_Node_apply_messages self params node_id_cnt (Betree_List_Cons (key, + new_msg) Betree_List_Nil) st in + let* _ = + betree_Node_apply_messages_back self params node_id_cnt (Betree_List_Cons + (key, new_msg) Betree_List_Nil) st in + Return (st1, ()) + +(** [betree_main::betree::{betree_main::betree::Node#5}::apply]: backward function 0 + Source: 'src/betree.rs', lines 576:4-582:5 *) +let betree_Node_apply_back + (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) + = + betree_Node_apply_messages_back self params node_id_cnt (Betree_List_Cons + (key, new_msg) Betree_List_Nil) st + +(** [betree_main::betree::{betree_main::betree::BeTree#6}::new]: forward function + Source: 'src/betree.rs', lines 849:4-849:60 *) +let betree_BeTree_new + (min_flush_size : u64) (split_size : u64) (st : state) : + result (state & betree_BeTree_t) + = + let* node_id_cnt = betree_NodeIdCounter_new in + let* id = betree_NodeIdCounter_fresh_id node_id_cnt in + let* (st1, _) = betree_store_leaf_node id Betree_List_Nil st in + let* node_id_cnt1 = betree_NodeIdCounter_fresh_id_back node_id_cnt in + Return (st1, + { + params = { min_flush_size = min_flush_size; split_size = split_size }; + node_id_cnt = node_id_cnt1; + root = (Betree_Node_Leaf { id = id; size = 0 }) + }) + +(** [betree_main::betree::{betree_main::betree::BeTree#6}::apply]: forward function + Source: 'src/betree.rs', lines 868:4-868:47 *) +let betree_BeTree_apply + (self : betree_BeTree_t) (key : u64) (msg : betree_Message_t) (st : state) : + result (state & unit) + = + let* (st1, _) = + betree_Node_apply self.root self.params self.node_id_cnt key msg st in + let* _ = + betree_Node_apply_back self.root self.params self.node_id_cnt key msg st in + Return (st1, ()) + +(** [betree_main::betree::{betree_main::betree::BeTree#6}::apply]: backward function 0 + Source: 'src/betree.rs', lines 868:4-868:47 *) +let betree_BeTree_apply_back + (self : betree_BeTree_t) (key : u64) (msg : betree_Message_t) (st : state) : + result betree_BeTree_t + = + let* (n, nic) = + betree_Node_apply_back self.root self.params self.node_id_cnt key msg st in + Return { self with node_id_cnt = nic; root = n } + +(** [betree_main::betree::{betree_main::betree::BeTree#6}::insert]: forward function + Source: 'src/betree.rs', lines 874:4-874:52 *) +let betree_BeTree_insert + (self : betree_BeTree_t) (key : u64) (value : u64) (st : state) : + result (state & unit) + = + let* (st1, _) = betree_BeTree_apply self key (Betree_Message_Insert value) st + in + let* _ = betree_BeTree_apply_back self key (Betree_Message_Insert value) st + in + Return (st1, ()) + +(** [betree_main::betree::{betree_main::betree::BeTree#6}::insert]: backward function 0 + Source: 'src/betree.rs', lines 874:4-874:52 *) +let betree_BeTree_insert_back + (self : betree_BeTree_t) (key : u64) (value : u64) (st : state) : + result betree_BeTree_t + = + betree_BeTree_apply_back self key (Betree_Message_Insert value) st + +(** [betree_main::betree::{betree_main::betree::BeTree#6}::delete]: forward function + Source: 'src/betree.rs', lines 880:4-880:38 *) +let betree_BeTree_delete + (self : betree_BeTree_t) (key : u64) (st : state) : result (state & unit) = + let* (st1, _) = betree_BeTree_apply self key Betree_Message_Delete st in + let* _ = betree_BeTree_apply_back self key Betree_Message_Delete st in + Return (st1, ()) + +(** [betree_main::betree::{betree_main::betree::BeTree#6}::delete]: backward function 0 + Source: 'src/betree.rs', lines 880:4-880:38 *) +let betree_BeTree_delete_back + (self : betree_BeTree_t) (key : u64) (st : state) : result betree_BeTree_t = + betree_BeTree_apply_back self key Betree_Message_Delete st + +(** [betree_main::betree::{betree_main::betree::BeTree#6}::upsert]: forward function + Source: 'src/betree.rs', lines 886:4-886:59 *) +let betree_BeTree_upsert + (self : betree_BeTree_t) (key : u64) (upd : betree_UpsertFunState_t) + (st : state) : + result (state & unit) + = + let* (st1, _) = betree_BeTree_apply self key (Betree_Message_Upsert upd) st + in + let* _ = betree_BeTree_apply_back self key (Betree_Message_Upsert upd) st in + Return (st1, ()) + +(** [betree_main::betree::{betree_main::betree::BeTree#6}::upsert]: backward function 0 + Source: 'src/betree.rs', lines 886:4-886:59 *) +let betree_BeTree_upsert_back + (self : betree_BeTree_t) (key : u64) (upd : betree_UpsertFunState_t) + (st : state) : + result betree_BeTree_t + = + betree_BeTree_apply_back self key (Betree_Message_Upsert upd) st + +(** [betree_main::betree::{betree_main::betree::BeTree#6}::lookup]: forward function + Source: 'src/betree.rs', lines 895:4-895:62 *) +let betree_BeTree_lookup + (self : betree_BeTree_t) (key : u64) (st : state) : + result (state & (option u64)) + = + betree_Node_lookup self.root key st + +(** [betree_main::betree::{betree_main::betree::BeTree#6}::lookup]: backward function 0 + Source: 'src/betree.rs', lines 895:4-895:62 *) +let betree_BeTree_lookup_back + (self : betree_BeTree_t) (key : u64) (st : state) : result betree_BeTree_t = + let* n = betree_Node_lookup_back self.root key st in + Return { self with root = n } + +(** [betree_main::main]: forward function + Source: 'src/betree_main.rs', lines 5:0-5:9 *) +let main : result unit = + Return () + +(** Unit test for [betree_main::main] *) +let _ = assert_norm (main = Return ()) + diff --git a/tests/fstar-split/betree/BetreeMain.FunsExternal.fsti b/tests/fstar-split/betree/BetreeMain.FunsExternal.fsti new file mode 100644 index 00000000..cd2f956f --- /dev/null +++ b/tests/fstar-split/betree/BetreeMain.FunsExternal.fsti @@ -0,0 +1,35 @@ +(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *) +(** [betree_main]: external function declarations *) +module BetreeMain.FunsExternal +open Primitives +include BetreeMain.Types + +#set-options "--z3rlimit 50 --fuel 1 --ifuel 1" + +(** [betree_main::betree_utils::load_internal_node]: forward function + Source: 'src/betree_utils.rs', lines 98:0-98:63 *) +val 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 + Source: 'src/betree_utils.rs', lines 115:0-115:71 *) +val betree_utils_store_internal_node + : + u64 -> betree_List_t (u64 & betree_Message_t) -> state -> result (state & + unit) + +(** [betree_main::betree_utils::load_leaf_node]: forward function + Source: 'src/betree_utils.rs', lines 132:0-132:55 *) +val betree_utils_load_leaf_node + : u64 -> state -> result (state & (betree_List_t (u64 & u64))) + +(** [betree_main::betree_utils::store_leaf_node]: forward function + Source: 'src/betree_utils.rs', lines 145:0-145:63 *) +val betree_utils_store_leaf_node + : u64 -> betree_List_t (u64 & u64) -> state -> result (state & unit) + +(** [core::option::{core::option::Option<T>}::unwrap]: forward function + Source: '/rustc/d59363ad0b6391b7fc5bbb02c9ccf9300eef3753/library/core/src/option.rs', lines 932:4-932:34 *) +val core_option_Option_unwrap + (t : Type0) : option t -> state -> result (state & t) + diff --git a/tests/fstar-split/betree/BetreeMain.Types.fst b/tests/fstar-split/betree/BetreeMain.Types.fst new file mode 100644 index 00000000..b87219b2 --- /dev/null +++ b/tests/fstar-split/betree/BetreeMain.Types.fst @@ -0,0 +1,61 @@ +(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *) +(** [betree_main]: type definitions *) +module BetreeMain.Types +open Primitives +include BetreeMain.TypesExternal + +#set-options "--z3rlimit 50 --fuel 1 --ifuel 1" + +(** [betree_main::betree::List] + Source: 'src/betree.rs', lines 17:0-17:23 *) +type betree_List_t (t : Type0) = +| Betree_List_Cons : t -> betree_List_t t -> betree_List_t t +| Betree_List_Nil : betree_List_t t + +(** [betree_main::betree::UpsertFunState] + Source: 'src/betree.rs', lines 63:0-63:23 *) +type betree_UpsertFunState_t = +| Betree_UpsertFunState_Add : u64 -> betree_UpsertFunState_t +| Betree_UpsertFunState_Sub : u64 -> betree_UpsertFunState_t + +(** [betree_main::betree::Message] + Source: 'src/betree.rs', lines 69:0-69:23 *) +type betree_Message_t = +| Betree_Message_Insert : u64 -> betree_Message_t +| Betree_Message_Delete : betree_Message_t +| Betree_Message_Upsert : betree_UpsertFunState_t -> betree_Message_t + +(** [betree_main::betree::Leaf] + Source: 'src/betree.rs', lines 167:0-167:11 *) +type betree_Leaf_t = { id : u64; size : u64; } + +(** [betree_main::betree::Internal] + Source: 'src/betree.rs', lines 156:0-156:15 *) +type betree_Internal_t = +{ + id : u64; pivot : u64; left : betree_Node_t; right : betree_Node_t; +} + +(** [betree_main::betree::Node] + Source: 'src/betree.rs', lines 179:0-179:9 *) +and betree_Node_t = +| Betree_Node_Internal : betree_Internal_t -> betree_Node_t +| Betree_Node_Leaf : betree_Leaf_t -> betree_Node_t + +(** [betree_main::betree::Params] + Source: 'src/betree.rs', lines 187:0-187:13 *) +type betree_Params_t = { min_flush_size : u64; split_size : u64; } + +(** [betree_main::betree::NodeIdCounter] + Source: 'src/betree.rs', lines 201:0-201:20 *) +type betree_NodeIdCounter_t = { next_node_id : u64; } + +(** [betree_main::betree::BeTree] + Source: 'src/betree.rs', lines 218:0-218:17 *) +type betree_BeTree_t = +{ + params : betree_Params_t; + node_id_cnt : betree_NodeIdCounter_t; + root : betree_Node_t; +} + diff --git a/tests/fstar-split/betree/BetreeMain.TypesExternal.fsti b/tests/fstar-split/betree/BetreeMain.TypesExternal.fsti new file mode 100644 index 00000000..1b2c53a6 --- /dev/null +++ b/tests/fstar-split/betree/BetreeMain.TypesExternal.fsti @@ -0,0 +1,10 @@ +(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *) +(** [betree_main]: external type declarations *) +module BetreeMain.TypesExternal +open Primitives + +#set-options "--z3rlimit 50 --fuel 1 --ifuel 1" + +(** The state type used in the state-error monad *) +val state : Type0 + diff --git a/tests/fstar-split/betree/Makefile b/tests/fstar-split/betree/Makefile new file mode 100644 index 00000000..fa7d1f36 --- /dev/null +++ b/tests/fstar-split/betree/Makefile @@ -0,0 +1,49 @@ +# This file was automatically generated - modify ../Makefile.template instead +INCLUDE_DIRS = . + +FSTAR_INCLUDES = $(addprefix --include ,$(INCLUDE_DIRS)) + +FSTAR_HINTS ?= --use_hints --use_hint_hashes --record_hints + +FSTAR_OPTIONS = $(FSTAR_HINTS) \ + --cache_checked_modules $(FSTAR_INCLUDES) --cmi \ + --warn_error '+241@247+285-274' \ + +FSTAR_EXE ?= fstar.exe +FSTAR_NO_FLAGS = $(FSTAR_EXE) --already_cached 'Prims FStar LowStar Steel' --odir obj --cache_dir obj + +FSTAR = $(FSTAR_NO_FLAGS) $(FSTAR_OPTIONS) + +# The F* roots are used to compute the dependency graph, and generate the .depend file +FSTAR_ROOTS ?= $(wildcard *.fst *.fsti) + +# Build all the files +all: $(addprefix obj/,$(addsuffix .checked,$(FSTAR_ROOTS))) + +# This is the right way to ensure the .depend file always gets re-built. +ifeq (,$(filter %-in,$(MAKECMDGOALS))) +ifndef NODEPEND +ifndef MAKE_RESTARTS +.depend: .FORCE + $(FSTAR_NO_FLAGS) --dep full $(notdir $(FSTAR_ROOTS)) > $@ + +.PHONY: .FORCE +.FORCE: +endif +endif + +include .depend +endif + +# For the interactive mode +%.fst-in %.fsti-in: + @echo $(FSTAR_OPTIONS) + +# Generete the .checked files in batch mode +%.checked: + $(FSTAR) $(FSTAR_OPTIONS) $< && \ + touch -c $@ + +.PHONY: clean +clean: + rm -f obj/* diff --git a/tests/fstar-split/betree/Primitives.fst b/tests/fstar-split/betree/Primitives.fst new file mode 100644 index 00000000..a3ffbde4 --- /dev/null +++ b/tests/fstar-split/betree/Primitives.fst @@ -0,0 +1,884 @@ +/// This file lists primitive and assumed functions and types +module Primitives +open FStar.Mul +open FStar.List.Tot + +#set-options "--z3rlimit 15 --fuel 0 --ifuel 1" + +(*** Utilities *) +val list_update (#a : Type0) (ls : list a) (i : nat{i < length ls}) (x : a) : + ls':list a{ + length ls' = length ls /\ + index ls' i == x + } +#push-options "--fuel 1" +let rec list_update #a ls i x = + match ls with + | x' :: ls -> if i = 0 then x :: ls else x' :: list_update ls (i-1) x +#pop-options + +(*** Result *) +type error : Type0 = +| Failure +| OutOfFuel + +type result (a : Type0) : Type0 = +| Return : v:a -> result a +| Fail : e:error -> result a + +// Monadic return operator +unfold let return (#a : Type0) (x : a) : result a = Return x + +// Monadic bind operator. +// Allows to use the notation: +// ``` +// let* x = y in +// ... +// ``` +unfold let (let*) (#a #b : Type0) (m: result a) + (f: (x:a) -> Pure (result b) (requires (m == Return x)) (ensures fun _ -> True)) : + result b = + match m with + | Return x -> f x + | Fail e -> Fail e + +// Monadic assert(...) +let massert (b:bool) : result unit = if b then Return () else Fail Failure + +// Normalize and unwrap a successful result (used for globals). +let eval_global (#a : Type0) (x : result a{Return? (normalize_term x)}) : a = Return?.v x + +(*** Misc *) +type char = FStar.Char.char +type string = string + +let is_zero (n: nat) : bool = n = 0 +let decrease (n: nat{n > 0}) : nat = n - 1 + +let core_mem_replace (a : Type0) (x : a) (y : a) : a = x +let core_mem_replace_back (a : Type0) (x : a) (y : a) : a = y + +// We don't really use raw pointers for now +type mut_raw_ptr (t : Type0) = { v : t } +type const_raw_ptr (t : Type0) = { v : t } + +(*** Scalars *) +/// Rem.: most of the following code was partially generated + +assume val size_numbits : pos + +// TODO: we could use FStar.Int.int_t and FStar.UInt.int_t + +let isize_min : int = -9223372036854775808 // TODO: should be opaque +let isize_max : int = 9223372036854775807 // TODO: should be opaque +let i8_min : int = -128 +let i8_max : int = 127 +let i16_min : int = -32768 +let i16_max : int = 32767 +let i32_min : int = -2147483648 +let i32_max : int = 2147483647 +let i64_min : int = -9223372036854775808 +let i64_max : int = 9223372036854775807 +let i128_min : int = -170141183460469231731687303715884105728 +let i128_max : int = 170141183460469231731687303715884105727 +let usize_min : int = 0 +let usize_max : int = 4294967295 // TODO: should be opaque +let u8_min : int = 0 +let u8_max : int = 255 +let u16_min : int = 0 +let u16_max : int = 65535 +let u32_min : int = 0 +let u32_max : int = 4294967295 +let u64_min : int = 0 +let u64_max : int = 18446744073709551615 +let u128_min : int = 0 +let u128_max : int = 340282366920938463463374607431768211455 + +type scalar_ty = +| Isize +| I8 +| I16 +| I32 +| I64 +| I128 +| Usize +| U8 +| U16 +| U32 +| U64 +| U128 + +let is_unsigned = function + | Isize | I8 | I16 | I32 | I64 | I128 -> false + | Usize | U8 | U16 | U32 | U64 | U128 -> true + +let scalar_min (ty : scalar_ty) : int = + match ty with + | Isize -> isize_min + | I8 -> i8_min + | I16 -> i16_min + | I32 -> i32_min + | I64 -> i64_min + | I128 -> i128_min + | Usize -> usize_min + | U8 -> u8_min + | U16 -> u16_min + | U32 -> u32_min + | U64 -> u64_min + | U128 -> u128_min + +let scalar_max (ty : scalar_ty) : int = + match ty with + | Isize -> isize_max + | I8 -> i8_max + | I16 -> i16_max + | I32 -> i32_max + | I64 -> i64_max + | I128 -> i128_max + | Usize -> usize_max + | U8 -> u8_max + | U16 -> u16_max + | U32 -> u32_max + | U64 -> u64_max + | U128 -> u128_max + +type scalar (ty : scalar_ty) : eqtype = x:int{scalar_min ty <= x && x <= scalar_max ty} + +let mk_scalar (ty : scalar_ty) (x : int) : result (scalar ty) = + if scalar_min ty <= x && scalar_max ty >= x then Return x else Fail Failure + +let scalar_neg (#ty : scalar_ty) (x : scalar ty) : result (scalar ty) = mk_scalar ty (-x) + +let scalar_div (#ty : scalar_ty) (x : scalar ty) (y : scalar ty) : result (scalar ty) = + if y <> 0 then mk_scalar ty (x / y) else Fail Failure + +/// The remainder operation +let int_rem (x : int) (y : int{y <> 0}) : int = + if x >= 0 then (x % y) else -(x % y) + +(* Checking consistency with Rust *) +let _ = assert_norm(int_rem 1 2 = 1) +let _ = assert_norm(int_rem (-1) 2 = -1) +let _ = assert_norm(int_rem 1 (-2) = 1) +let _ = assert_norm(int_rem (-1) (-2) = -1) + +let scalar_rem (#ty : scalar_ty) (x : scalar ty) (y : scalar ty) : result (scalar ty) = + if y <> 0 then mk_scalar ty (int_rem x y) else Fail Failure + +let scalar_add (#ty : scalar_ty) (x : scalar ty) (y : scalar ty) : result (scalar ty) = + mk_scalar ty (x + y) + +let scalar_sub (#ty : scalar_ty) (x : scalar ty) (y : scalar ty) : result (scalar ty) = + mk_scalar ty (x - y) + +let scalar_mul (#ty : scalar_ty) (x : scalar ty) (y : scalar ty) : result (scalar ty) = + mk_scalar ty (x * y) + +let scalar_xor (#ty : scalar_ty) + (x : scalar ty) (y : scalar ty) : scalar ty = + match ty with + | U8 -> FStar.UInt.logxor #8 x y + | U16 -> FStar.UInt.logxor #16 x y + | U32 -> FStar.UInt.logxor #32 x y + | U64 -> FStar.UInt.logxor #64 x y + | U128 -> FStar.UInt.logxor #128 x y + | Usize -> admit() // TODO + | I8 -> + // Encoding issues... + normalize_spec (FStar.Int.int_t 8); + normalize_spec (scalar I8); + FStar.Int.logxor #8 x y + | I16 -> + // Encoding issues... + normalize_spec (FStar.Int.int_t 16); + normalize_spec (scalar I16); + FStar.Int.logxor #16 x y + | I32 -> FStar.Int.logxor #32 x y + | I64 -> FStar.Int.logxor #64 x y + | I128 -> + // Encoding issues... + normalize_spec (FStar.Int.int_t 128); + normalize_spec (scalar I128); + FStar.Int.logxor #128 x y + | Isize -> admit() // TODO + +let scalar_or (#ty : scalar_ty) + (x : scalar ty) (y : scalar ty) : scalar ty = + match ty with + | U8 -> FStar.UInt.logor #8 x y + | U16 -> FStar.UInt.logor #16 x y + | U32 -> FStar.UInt.logor #32 x y + | U64 -> FStar.UInt.logor #64 x y + | U128 -> FStar.UInt.logor #128 x y + | Usize -> admit() // TODO + | I8 -> + // Encoding issues... + normalize_spec (FStar.Int.int_t 8); + normalize_spec (scalar I8); + FStar.Int.logor #8 x y + | I16 -> + // Encoding issues... + normalize_spec (FStar.Int.int_t 16); + normalize_spec (scalar I16); + FStar.Int.logor #16 x y + | I32 -> FStar.Int.logor #32 x y + | I64 -> FStar.Int.logor #64 x y + | I128 -> + // Encoding issues... + normalize_spec (FStar.Int.int_t 128); + normalize_spec (scalar I128); + FStar.Int.logor #128 x y + | Isize -> admit() // TODO + +let scalar_and (#ty : scalar_ty) + (x : scalar ty) (y : scalar ty) : scalar ty = + match ty with + | U8 -> FStar.UInt.logand #8 x y + | U16 -> FStar.UInt.logand #16 x y + | U32 -> FStar.UInt.logand #32 x y + | U64 -> FStar.UInt.logand #64 x y + | U128 -> FStar.UInt.logand #128 x y + | Usize -> admit() // TODO + | I8 -> + // Encoding issues... + normalize_spec (FStar.Int.int_t 8); + normalize_spec (scalar I8); + FStar.Int.logand #8 x y + | I16 -> + // Encoding issues... + normalize_spec (FStar.Int.int_t 16); + normalize_spec (scalar I16); + FStar.Int.logand #16 x y + | I32 -> FStar.Int.logand #32 x y + | I64 -> FStar.Int.logand #64 x y + | I128 -> + // Encoding issues... + normalize_spec (FStar.Int.int_t 128); + normalize_spec (scalar I128); + FStar.Int.logand #128 x y + | Isize -> admit() // TODO + +// Shift left +let scalar_shl (#ty0 #ty1 : scalar_ty) + (x : scalar ty0) (y : scalar ty1) : result (scalar ty0) = + admit() + +// Shift right +let scalar_shr (#ty0 #ty1 : scalar_ty) + (x : scalar ty0) (y : scalar ty1) : result (scalar ty0) = + admit() + +(** Cast an integer from a [src_ty] to a [tgt_ty] *) +// TODO: check the semantics of casts in Rust +let scalar_cast (src_ty : scalar_ty) (tgt_ty : scalar_ty) (x : scalar src_ty) : result (scalar tgt_ty) = + mk_scalar tgt_ty x + +// This can't fail, but for now we make all casts faillible (easier for the translation) +let scalar_cast_bool (tgt_ty : scalar_ty) (x : bool) : result (scalar tgt_ty) = + mk_scalar tgt_ty (if x then 1 else 0) + +/// The scalar types +type isize : eqtype = scalar Isize +type i8 : eqtype = scalar I8 +type i16 : eqtype = scalar I16 +type i32 : eqtype = scalar I32 +type i64 : eqtype = scalar I64 +type i128 : eqtype = scalar I128 +type usize : eqtype = scalar Usize +type u8 : eqtype = scalar U8 +type u16 : eqtype = scalar U16 +type u32 : eqtype = scalar U32 +type u64 : eqtype = scalar U64 +type u128 : eqtype = scalar U128 + + +let core_isize_min : isize = isize_min +let core_isize_max : isize = isize_max +let core_i8_min : i8 = i8_min +let core_i8_max : i8 = i8_max +let core_i16_min : i16 = i16_min +let core_i16_max : i16 = i16_max +let core_i32_min : i32 = i32_min +let core_i32_max : i32 = i32_max +let core_i64_min : i64 = i64_min +let core_i64_max : i64 = i64_max +let core_i128_min : i128 = i128_min +let core_i128_max : i128 = i128_max + +let core_usize_min : usize = usize_min +let core_usize_max : usize = usize_max +let core_u8_min : u8 = u8_min +let core_u8_max : u8 = u8_max +let core_u16_min : u16 = u16_min +let core_u16_max : u16 = u16_max +let core_u32_min : u32 = u32_min +let core_u32_max : u32 = u32_max +let core_u64_min : u64 = u64_min +let core_u64_max : u64 = u64_max +let core_u128_min : u128 = u128_min +let core_u128_max : u128 = u128_max + +/// Negation +let isize_neg = scalar_neg #Isize +let i8_neg = scalar_neg #I8 +let i16_neg = scalar_neg #I16 +let i32_neg = scalar_neg #I32 +let i64_neg = scalar_neg #I64 +let i128_neg = scalar_neg #I128 + +/// Division +let isize_div = scalar_div #Isize +let i8_div = scalar_div #I8 +let i16_div = scalar_div #I16 +let i32_div = scalar_div #I32 +let i64_div = scalar_div #I64 +let i128_div = scalar_div #I128 +let usize_div = scalar_div #Usize +let u8_div = scalar_div #U8 +let u16_div = scalar_div #U16 +let u32_div = scalar_div #U32 +let u64_div = scalar_div #U64 +let u128_div = scalar_div #U128 + +/// Remainder +let isize_rem = scalar_rem #Isize +let i8_rem = scalar_rem #I8 +let i16_rem = scalar_rem #I16 +let i32_rem = scalar_rem #I32 +let i64_rem = scalar_rem #I64 +let i128_rem = scalar_rem #I128 +let usize_rem = scalar_rem #Usize +let u8_rem = scalar_rem #U8 +let u16_rem = scalar_rem #U16 +let u32_rem = scalar_rem #U32 +let u64_rem = scalar_rem #U64 +let u128_rem = scalar_rem #U128 + +/// Addition +let isize_add = scalar_add #Isize +let i8_add = scalar_add #I8 +let i16_add = scalar_add #I16 +let i32_add = scalar_add #I32 +let i64_add = scalar_add #I64 +let i128_add = scalar_add #I128 +let usize_add = scalar_add #Usize +let u8_add = scalar_add #U8 +let u16_add = scalar_add #U16 +let u32_add = scalar_add #U32 +let u64_add = scalar_add #U64 +let u128_add = scalar_add #U128 + +/// Subtraction +let isize_sub = scalar_sub #Isize +let i8_sub = scalar_sub #I8 +let i16_sub = scalar_sub #I16 +let i32_sub = scalar_sub #I32 +let i64_sub = scalar_sub #I64 +let i128_sub = scalar_sub #I128 +let usize_sub = scalar_sub #Usize +let u8_sub = scalar_sub #U8 +let u16_sub = scalar_sub #U16 +let u32_sub = scalar_sub #U32 +let u64_sub = scalar_sub #U64 +let u128_sub = scalar_sub #U128 + +/// Multiplication +let isize_mul = scalar_mul #Isize +let i8_mul = scalar_mul #I8 +let i16_mul = scalar_mul #I16 +let i32_mul = scalar_mul #I32 +let i64_mul = scalar_mul #I64 +let i128_mul = scalar_mul #I128 +let usize_mul = scalar_mul #Usize +let u8_mul = scalar_mul #U8 +let u16_mul = scalar_mul #U16 +let u32_mul = scalar_mul #U32 +let u64_mul = scalar_mul #U64 +let u128_mul = scalar_mul #U128 + +/// Xor +let u8_xor = scalar_xor #U8 +let u16_xor = scalar_xor #U16 +let u32_xor = scalar_xor #U32 +let u64_xor = scalar_xor #U64 +let u128_xor = scalar_xor #U128 +let usize_xor = scalar_xor #Usize +let i8_xor = scalar_xor #I8 +let i16_xor = scalar_xor #I16 +let i32_xor = scalar_xor #I32 +let i64_xor = scalar_xor #I64 +let i128_xor = scalar_xor #I128 +let isize_xor = scalar_xor #Isize + +/// Or +let u8_or = scalar_or #U8 +let u16_or = scalar_or #U16 +let u32_or = scalar_or #U32 +let u64_or = scalar_or #U64 +let u128_or = scalar_or #U128 +let usize_or = scalar_or #Usize +let i8_or = scalar_or #I8 +let i16_or = scalar_or #I16 +let i32_or = scalar_or #I32 +let i64_or = scalar_or #I64 +let i128_or = scalar_or #I128 +let isize_or = scalar_or #Isize + +/// And +let u8_and = scalar_and #U8 +let u16_and = scalar_and #U16 +let u32_and = scalar_and #U32 +let u64_and = scalar_and #U64 +let u128_and = scalar_and #U128 +let usize_and = scalar_and #Usize +let i8_and = scalar_and #I8 +let i16_and = scalar_and #I16 +let i32_and = scalar_and #I32 +let i64_and = scalar_and #I64 +let i128_and = scalar_and #I128 +let isize_and = scalar_and #Isize + +/// Shift left +let u8_shl #ty = scalar_shl #U8 #ty +let u16_shl #ty = scalar_shl #U16 #ty +let u32_shl #ty = scalar_shl #U32 #ty +let u64_shl #ty = scalar_shl #U64 #ty +let u128_shl #ty = scalar_shl #U128 #ty +let usize_shl #ty = scalar_shl #Usize #ty +let i8_shl #ty = scalar_shl #I8 #ty +let i16_shl #ty = scalar_shl #I16 #ty +let i32_shl #ty = scalar_shl #I32 #ty +let i64_shl #ty = scalar_shl #I64 #ty +let i128_shl #ty = scalar_shl #I128 #ty +let isize_shl #ty = scalar_shl #Isize #ty + +/// Shift right +let u8_shr #ty = scalar_shr #U8 #ty +let u16_shr #ty = scalar_shr #U16 #ty +let u32_shr #ty = scalar_shr #U32 #ty +let u64_shr #ty = scalar_shr #U64 #ty +let u128_shr #ty = scalar_shr #U128 #ty +let usize_shr #ty = scalar_shr #Usize #ty +let i8_shr #ty = scalar_shr #I8 #ty +let i16_shr #ty = scalar_shr #I16 #ty +let i32_shr #ty = scalar_shr #I32 #ty +let i64_shr #ty = scalar_shr #I64 #ty +let i128_shr #ty = scalar_shr #I128 #ty +let isize_shr #ty = scalar_shr #Isize #ty + +(*** core::ops *) + +// Trait declaration: [core::ops::index::Index] +noeq type core_ops_index_Index (self idx : Type0) = { + output : Type0; + index : self → idx → result output +} + +// Trait declaration: [core::ops::index::IndexMut] +noeq type core_ops_index_IndexMut (self idx : Type0) = { + indexInst : core_ops_index_Index self idx; + index_mut : self → idx → result indexInst.output; + index_mut_back : self → idx → indexInst.output → result self; +} + +// Trait declaration [core::ops::deref::Deref] +noeq type core_ops_deref_Deref (self : Type0) = { + target : Type0; + deref : self → result target; +} + +// Trait declaration [core::ops::deref::DerefMut] +noeq type core_ops_deref_DerefMut (self : Type0) = { + derefInst : core_ops_deref_Deref self; + deref_mut : self → result derefInst.target; + deref_mut_back : self → derefInst.target → result self; +} + +type core_ops_range_Range (a : Type0) = { + start : a; + end_ : a; +} + +(*** [alloc] *) + +let alloc_boxed_Box_deref (t : Type0) (x : t) : result t = Return x +let alloc_boxed_Box_deref_mut (t : Type0) (x : t) : result t = Return x +let alloc_boxed_Box_deref_mut_back (t : Type) (_ : t) (x : t) : result t = Return x + +// Trait instance +let alloc_boxed_Box_coreopsDerefInst (self : Type0) : core_ops_deref_Deref self = { + target = self; + deref = alloc_boxed_Box_deref self; +} + +// Trait instance +let alloc_boxed_Box_coreopsDerefMutInst (self : Type0) : core_ops_deref_DerefMut self = { + derefInst = alloc_boxed_Box_coreopsDerefInst self; + deref_mut = alloc_boxed_Box_deref_mut self; + deref_mut_back = alloc_boxed_Box_deref_mut_back self; +} + +(*** Array *) +type array (a : Type0) (n : usize) = s:list a{length s = n} + +// We tried putting the normalize_term condition as a refinement on the list +// but it didn't work. It works with the requires clause. +let mk_array (a : Type0) (n : usize) + (l : list a) : + Pure (array a n) + (requires (normalize_term(FStar.List.Tot.length l) = n)) + (ensures (fun _ -> True)) = + normalize_term_spec (FStar.List.Tot.length l); + l + +let array_index_usize (a : Type0) (n : usize) (x : array a n) (i : usize) : result a = + if i < length x then Return (index x i) + else Fail Failure + +let array_update_usize (a : Type0) (n : usize) (x : array a n) (i : usize) (nx : a) : result (array a n) = + if i < length x then Return (list_update x i nx) + else Fail Failure + +(*** Slice *) +type slice (a : Type0) = s:list a{length s <= usize_max} + +let slice_len (a : Type0) (s : slice a) : usize = length s + +let slice_index_usize (a : Type0) (x : slice a) (i : usize) : result a = + if i < length x then Return (index x i) + else Fail Failure + +let slice_update_usize (a : Type0) (x : slice a) (i : usize) (nx : a) : result (slice a) = + if i < length x then Return (list_update x i nx) + else Fail Failure + +(*** Subslices *) + +let array_to_slice (a : Type0) (n : usize) (x : array a n) : result (slice a) = Return x +let array_from_slice (a : Type0) (n : usize) (x : array a n) (s : slice a) : result (array a n) = + if length s = n then Return s + else Fail Failure + +// TODO: finish the definitions below (there lacks [List.drop] and [List.take] in the standard library *) +let array_subslice (a : Type0) (n : usize) (x : array a n) (r : core_ops_range_Range usize) : result (slice a) = + admit() + +let array_update_subslice (a : Type0) (n : usize) (x : array a n) (r : core_ops_range_Range usize) (ns : slice a) : result (array a n) = + admit() + +let array_repeat (a : Type0) (n : usize) (x : a) : array a n = + admit() + +let slice_subslice (a : Type0) (x : slice a) (r : core_ops_range_Range usize) : result (slice a) = + admit() + +let slice_update_subslice (a : Type0) (x : slice a) (r : core_ops_range_Range usize) (ns : slice a) : result (slice a) = + admit() + +(*** Vector *) +type alloc_vec_Vec (a : Type0) = v:list a{length v <= usize_max} + +let alloc_vec_Vec_new (a : Type0) : alloc_vec_Vec a = assert_norm(length #a [] == 0); [] +let alloc_vec_Vec_len (a : Type0) (v : alloc_vec_Vec a) : usize = length v + +// Helper +let alloc_vec_Vec_index_usize (#a : Type0) (v : alloc_vec_Vec a) (i : usize) : result a = + if i < length v then Return (index v i) else Fail Failure +// Helper +let alloc_vec_Vec_update_usize (#a : Type0) (v : alloc_vec_Vec a) (i : usize) (x : a) : result (alloc_vec_Vec a) = + if i < length v then Return (list_update v i x) else Fail Failure + +// The **forward** function shouldn't be used +let alloc_vec_Vec_push_fwd (a : Type0) (v : alloc_vec_Vec a) (x : a) : unit = () +let alloc_vec_Vec_push (a : Type0) (v : alloc_vec_Vec a) (x : a) : + Pure (result (alloc_vec_Vec a)) + (requires True) + (ensures (fun res -> + match res with + | Fail e -> e == Failure + | Return v' -> length v' = length v + 1)) = + if length v < usize_max then begin + (**) assert_norm(length [x] == 1); + (**) append_length v [x]; + (**) assert(length (append v [x]) = length v + 1); + Return (append v [x]) + end + else Fail Failure + +// The **forward** function shouldn't be used +let alloc_vec_Vec_insert_fwd (a : Type0) (v : alloc_vec_Vec a) (i : usize) (x : a) : result unit = + if i < length v then Return () else Fail Failure +let alloc_vec_Vec_insert (a : Type0) (v : alloc_vec_Vec a) (i : usize) (x : a) : result (alloc_vec_Vec a) = + if i < length v then Return (list_update v i x) else Fail Failure + +// Trait declaration: [core::slice::index::private_slice_index::Sealed] +type core_slice_index_private_slice_index_Sealed (self : Type0) = unit + +// Trait declaration: [core::slice::index::SliceIndex] +noeq type core_slice_index_SliceIndex (self t : Type0) = { + sealedInst : core_slice_index_private_slice_index_Sealed self; + output : Type0; + get : self → t → result (option output); + get_mut : self → t → result (option output); + get_mut_back : self → t → option output → result t; + get_unchecked : self → const_raw_ptr t → result (const_raw_ptr output); + get_unchecked_mut : self → mut_raw_ptr t → result (mut_raw_ptr output); + index : self → t → result output; + index_mut : self → t → result output; + index_mut_back : self → t → output → result t; +} + +// [core::slice::index::[T]::index]: forward function +let core_slice_index_Slice_index + (t idx : Type0) (inst : core_slice_index_SliceIndex idx (slice t)) + (s : slice t) (i : idx) : result inst.output = + let* x = inst.get i s in + match x with + | None -> Fail Failure + | Some x -> Return x + +// [core::slice::index::Range:::get]: forward function +let core_slice_index_RangeUsize_get (t : Type0) (i : core_ops_range_Range usize) (s : slice t) : + result (option (slice t)) = + admit () // TODO + +// [core::slice::index::Range::get_mut]: forward function +let core_slice_index_RangeUsize_get_mut + (t : Type0) : core_ops_range_Range usize → slice t → result (option (slice t)) = + admit () // TODO + +// [core::slice::index::Range::get_mut]: backward function 0 +let core_slice_index_RangeUsize_get_mut_back + (t : Type0) : + core_ops_range_Range usize → slice t → option (slice t) → result (slice t) = + admit () // TODO + +// [core::slice::index::Range::get_unchecked]: forward function +let core_slice_index_RangeUsize_get_unchecked + (t : Type0) : + core_ops_range_Range usize → const_raw_ptr (slice t) → result (const_raw_ptr (slice t)) = + // Don't know what the model should be - for now we always fail to make + // sure code which uses it fails + fun _ _ -> Fail Failure + +// [core::slice::index::Range::get_unchecked_mut]: forward function +let core_slice_index_RangeUsize_get_unchecked_mut + (t : Type0) : + core_ops_range_Range usize → mut_raw_ptr (slice t) → result (mut_raw_ptr (slice t)) = + // Don't know what the model should be - for now we always fail to make + // sure code which uses it fails + fun _ _ -> Fail Failure + +// [core::slice::index::Range::index]: forward function +let core_slice_index_RangeUsize_index + (t : Type0) : core_ops_range_Range usize → slice t → result (slice t) = + admit () // TODO + +// [core::slice::index::Range::index_mut]: forward function +let core_slice_index_RangeUsize_index_mut + (t : Type0) : core_ops_range_Range usize → slice t → result (slice t) = + admit () // TODO + +// [core::slice::index::Range::index_mut]: backward function 0 +let core_slice_index_RangeUsize_index_mut_back + (t : Type0) : core_ops_range_Range usize → slice t → slice t → result (slice t) = + admit () // TODO + +// [core::slice::index::[T]::index_mut]: forward function +let core_slice_index_Slice_index_mut + (t idx : Type0) (inst : core_slice_index_SliceIndex idx (slice t)) : + slice t → idx → result inst.output = + admit () // + +// [core::slice::index::[T]::index_mut]: backward function 0 +let core_slice_index_Slice_index_mut_back + (t idx : Type0) (inst : core_slice_index_SliceIndex idx (slice t)) : + slice t → idx → inst.output → result (slice t) = + admit () // TODO + +// [core::array::[T; N]::index]: forward function +let core_array_Array_index + (t idx : Type0) (n : usize) (inst : core_ops_index_Index (slice t) idx) + (a : array t n) (i : idx) : result inst.output = + admit () // TODO + +// [core::array::[T; N]::index_mut]: forward function +let core_array_Array_index_mut + (t idx : Type0) (n : usize) (inst : core_ops_index_IndexMut (slice t) idx) + (a : array t n) (i : idx) : result inst.indexInst.output = + admit () // TODO + +// [core::array::[T; N]::index_mut]: backward function 0 +let core_array_Array_index_mut_back + (t idx : Type0) (n : usize) (inst : core_ops_index_IndexMut (slice t) idx) + (a : array t n) (i : idx) (x : inst.indexInst.output) : result (array t n) = + admit () // TODO + +// Trait implementation: [core::slice::index::private_slice_index::Range] +let core_slice_index_private_slice_index_SealedRangeUsizeInst + : core_slice_index_private_slice_index_Sealed (core_ops_range_Range usize) = () + +// Trait implementation: [core::slice::index::Range] +let core_slice_index_SliceIndexRangeUsizeSliceTInst (t : Type0) : + core_slice_index_SliceIndex (core_ops_range_Range usize) (slice t) = { + sealedInst = core_slice_index_private_slice_index_SealedRangeUsizeInst; + output = slice t; + get = core_slice_index_RangeUsize_get t; + get_mut = core_slice_index_RangeUsize_get_mut t; + get_mut_back = core_slice_index_RangeUsize_get_mut_back t; + get_unchecked = core_slice_index_RangeUsize_get_unchecked t; + get_unchecked_mut = core_slice_index_RangeUsize_get_unchecked_mut t; + index = core_slice_index_RangeUsize_index t; + index_mut = core_slice_index_RangeUsize_index_mut t; + index_mut_back = core_slice_index_RangeUsize_index_mut_back t; +} + +// Trait implementation: [core::slice::index::[T]] +let core_ops_index_IndexSliceTIInst (t idx : Type0) + (inst : core_slice_index_SliceIndex idx (slice t)) : + core_ops_index_Index (slice t) idx = { + output = inst.output; + index = core_slice_index_Slice_index t idx inst; +} + +// Trait implementation: [core::slice::index::[T]] +let core_ops_index_IndexMutSliceTIInst (t idx : Type0) + (inst : core_slice_index_SliceIndex idx (slice t)) : + core_ops_index_IndexMut (slice t) idx = { + indexInst = core_ops_index_IndexSliceTIInst t idx inst; + index_mut = core_slice_index_Slice_index_mut t idx inst; + index_mut_back = core_slice_index_Slice_index_mut_back t idx inst; +} + +// Trait implementation: [core::array::[T; N]] +let core_ops_index_IndexArrayInst (t idx : Type0) (n : usize) + (inst : core_ops_index_Index (slice t) idx) : + core_ops_index_Index (array t n) idx = { + output = inst.output; + index = core_array_Array_index t idx n inst; +} + +// Trait implementation: [core::array::[T; N]] +let core_ops_index_IndexMutArrayIInst (t idx : Type0) (n : usize) + (inst : core_ops_index_IndexMut (slice t) idx) : + core_ops_index_IndexMut (array t n) idx = { + indexInst = core_ops_index_IndexArrayInst t idx n inst.indexInst; + index_mut = core_array_Array_index_mut t idx n inst; + index_mut_back = core_array_Array_index_mut_back t idx n inst; +} + +// [core::slice::index::usize::get]: forward function +let core_slice_index_usize_get + (t : Type0) : usize → slice t → result (option t) = + admit () // TODO + +// [core::slice::index::usize::get_mut]: forward function +let core_slice_index_usize_get_mut + (t : Type0) : usize → slice t → result (option t) = + admit () // TODO + +// [core::slice::index::usize::get_mut]: backward function 0 +let core_slice_index_usize_get_mut_back + (t : Type0) : usize → slice t → option t → result (slice t) = + admit () // TODO + +// [core::slice::index::usize::get_unchecked]: forward function +let core_slice_index_usize_get_unchecked + (t : Type0) : usize → const_raw_ptr (slice t) → result (const_raw_ptr t) = + admit () // TODO + +// [core::slice::index::usize::get_unchecked_mut]: forward function +let core_slice_index_usize_get_unchecked_mut + (t : Type0) : usize → mut_raw_ptr (slice t) → result (mut_raw_ptr t) = + admit () // TODO + +// [core::slice::index::usize::index]: forward function +let core_slice_index_usize_index (t : Type0) : usize → slice t → result t = + admit () // TODO + +// [core::slice::index::usize::index_mut]: forward function +let core_slice_index_usize_index_mut (t : Type0) : usize → slice t → result t = + admit () // TODO + +// [core::slice::index::usize::index_mut]: backward function 0 +let core_slice_index_usize_index_mut_back + (t : Type0) : usize → slice t → t → result (slice t) = + admit () // TODO + +// Trait implementation: [core::slice::index::private_slice_index::usize] +let core_slice_index_private_slice_index_SealedUsizeInst + : core_slice_index_private_slice_index_Sealed usize = () + +// Trait implementation: [core::slice::index::usize] +let core_slice_index_SliceIndexUsizeSliceTInst (t : Type0) : + core_slice_index_SliceIndex usize (slice t) = { + sealedInst = core_slice_index_private_slice_index_SealedUsizeInst; + output = t; + get = core_slice_index_usize_get t; + get_mut = core_slice_index_usize_get_mut t; + get_mut_back = core_slice_index_usize_get_mut_back t; + get_unchecked = core_slice_index_usize_get_unchecked t; + get_unchecked_mut = core_slice_index_usize_get_unchecked_mut t; + index = core_slice_index_usize_index t; + index_mut = core_slice_index_usize_index_mut t; + index_mut_back = core_slice_index_usize_index_mut_back t; +} + +// [alloc::vec::Vec::index]: forward function +let alloc_vec_Vec_index (t idx : Type0) (inst : core_slice_index_SliceIndex idx (slice t)) + (self : alloc_vec_Vec t) (i : idx) : result inst.output = + admit () // TODO + +// [alloc::vec::Vec::index_mut]: forward function +let alloc_vec_Vec_index_mut (t idx : Type0) (inst : core_slice_index_SliceIndex idx (slice t)) + (self : alloc_vec_Vec t) (i : idx) : result inst.output = + admit () // TODO + +// [alloc::vec::Vec::index_mut]: backward function 0 +let alloc_vec_Vec_index_mut_back + (t idx : Type0) (inst : core_slice_index_SliceIndex idx (slice t)) + (self : alloc_vec_Vec t) (i : idx) (x : inst.output) : result (alloc_vec_Vec t) = + admit () // TODO + +// Trait implementation: [alloc::vec::Vec] +let alloc_vec_Vec_coreopsindexIndexInst (t idx : Type0) + (inst : core_slice_index_SliceIndex idx (slice t)) : + core_ops_index_Index (alloc_vec_Vec t) idx = { + output = inst.output; + index = alloc_vec_Vec_index t idx inst; +} + +// Trait implementation: [alloc::vec::Vec] +let alloc_vec_Vec_coreopsindexIndexMutInst (t idx : Type0) + (inst : core_slice_index_SliceIndex idx (slice t)) : + core_ops_index_IndexMut (alloc_vec_Vec t) idx = { + indexInst = alloc_vec_Vec_coreopsindexIndexInst t idx inst; + index_mut = alloc_vec_Vec_index_mut t idx inst; + index_mut_back = alloc_vec_Vec_index_mut_back t idx inst; +} + +(*** Theorems *) + +let alloc_vec_Vec_index_eq (#a : Type0) (v : alloc_vec_Vec a) (i : usize) : + Lemma ( + alloc_vec_Vec_index a usize (core_slice_index_SliceIndexUsizeSliceTInst a) v i == + alloc_vec_Vec_index_usize v i) + [SMTPat (alloc_vec_Vec_index a usize (core_slice_index_SliceIndexUsizeSliceTInst a) v i)] + = + admit() + +let alloc_vec_Vec_index_mut_eq (#a : Type0) (v : alloc_vec_Vec a) (i : usize) : + Lemma ( + alloc_vec_Vec_index_mut a usize (core_slice_index_SliceIndexUsizeSliceTInst a) v i == + alloc_vec_Vec_index_usize v i) + [SMTPat (alloc_vec_Vec_index_mut a usize (core_slice_index_SliceIndexUsizeSliceTInst a) v i)] + = + admit() + +let alloc_vec_Vec_index_mut_back_eq (#a : Type0) (v : alloc_vec_Vec a) (i : usize) (x : a) : + Lemma ( + alloc_vec_Vec_index_mut_back a usize (core_slice_index_SliceIndexUsizeSliceTInst a) v i x == + alloc_vec_Vec_update_usize v i x) + [SMTPat (alloc_vec_Vec_index_mut_back a usize (core_slice_index_SliceIndexUsizeSliceTInst a) v i x)] + = + admit() diff --git a/tests/fstar-split/hashmap/Hashmap.Clauses.Template.fst b/tests/fstar-split/hashmap/Hashmap.Clauses.Template.fst new file mode 100644 index 00000000..2733b371 --- /dev/null +++ b/tests/fstar-split/hashmap/Hashmap.Clauses.Template.fst @@ -0,0 +1,71 @@ +(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *) +(** [hashmap]: templates for the decreases clauses *) +module Hashmap.Clauses.Template +open Primitives +open Hashmap.Types + +#set-options "--z3rlimit 50 --fuel 1 --ifuel 1" + +(** [hashmap::{hashmap::HashMap<T>}::allocate_slots]: decreases clause + Source: 'src/hashmap.rs', lines 50:4-56:5 *) +unfold +let hashMap_allocate_slots_loop_decreases (t : Type0) + (slots : alloc_vec_Vec (list_t t)) (n : usize) : nat = + admit () + +(** [hashmap::{hashmap::HashMap<T>}::clear]: decreases clause + Source: 'src/hashmap.rs', lines 80:4-88:5 *) +unfold +let hashMap_clear_loop_decreases (t : Type0) (slots : alloc_vec_Vec (list_t t)) + (i : usize) : nat = + admit () + +(** [hashmap::{hashmap::HashMap<T>}::insert_in_list]: decreases clause + Source: 'src/hashmap.rs', lines 97:4-114:5 *) +unfold +let hashMap_insert_in_list_loop_decreases (t : Type0) (key : usize) (value : t) + (ls : list_t t) : nat = + admit () + +(** [hashmap::{hashmap::HashMap<T>}::move_elements_from_list]: decreases clause + Source: 'src/hashmap.rs', lines 183:4-196:5 *) +unfold +let hashMap_move_elements_from_list_loop_decreases (t : Type0) + (ntable : hashMap_t t) (ls : list_t t) : nat = + admit () + +(** [hashmap::{hashmap::HashMap<T>}::move_elements]: decreases clause + Source: 'src/hashmap.rs', lines 171:4-180:5 *) +unfold +let hashMap_move_elements_loop_decreases (t : Type0) (ntable : hashMap_t t) + (slots : alloc_vec_Vec (list_t t)) (i : usize) : nat = + admit () + +(** [hashmap::{hashmap::HashMap<T>}::contains_key_in_list]: decreases clause + Source: 'src/hashmap.rs', lines 206:4-219:5 *) +unfold +let hashMap_contains_key_in_list_loop_decreases (t : Type0) (key : usize) + (ls : list_t t) : nat = + admit () + +(** [hashmap::{hashmap::HashMap<T>}::get_in_list]: decreases clause + Source: 'src/hashmap.rs', lines 224:4-237:5 *) +unfold +let hashMap_get_in_list_loop_decreases (t : Type0) (key : usize) + (ls : list_t t) : nat = + admit () + +(** [hashmap::{hashmap::HashMap<T>}::get_mut_in_list]: decreases clause + Source: 'src/hashmap.rs', lines 245:4-254:5 *) +unfold +let hashMap_get_mut_in_list_loop_decreases (t : Type0) (ls : list_t t) + (key : usize) : nat = + admit () + +(** [hashmap::{hashmap::HashMap<T>}::remove_from_list]: decreases clause + Source: 'src/hashmap.rs', lines 265:4-291:5 *) +unfold +let hashMap_remove_from_list_loop_decreases (t : Type0) (key : usize) + (ls : list_t t) : nat = + admit () + diff --git a/tests/fstar-split/hashmap/Hashmap.Clauses.fst b/tests/fstar-split/hashmap/Hashmap.Clauses.fst new file mode 100644 index 00000000..6c699d05 --- /dev/null +++ b/tests/fstar-split/hashmap/Hashmap.Clauses.fst @@ -0,0 +1,61 @@ +(** [hashmap]: the decreases clauses *) +module Hashmap.Clauses +open Primitives +open FStar.List.Tot +open Hashmap.Types + +#set-options "--z3rlimit 50 --fuel 0 --ifuel 1" + +(** [hashmap::HashMap::allocate_slots]: decreases clause *) +unfold +let hashMap_allocate_slots_loop_decreases (t : Type0) + (slots : alloc_vec_Vec (list_t t)) (n : usize) : nat = n + +(** [hashmap::HashMap::clear]: decreases clause *) +unfold +let hashMap_clear_loop_decreases (t : Type0) (slots : alloc_vec_Vec (list_t t)) + (i : usize) : nat = + if i < length slots then length slots - i else 0 + +(** [hashmap::HashMap::insert_in_list]: decreases clause *) +unfold +let hashMap_insert_in_list_loop_decreases (t : Type0) (key : usize) (value : t) + (ls : list_t t) : list_t t = + ls + +(** [hashmap::HashMap::move_elements_from_list]: decreases clause *) +unfold +let hashMap_move_elements_from_list_loop_decreases (t : Type0) + (ntable : hashMap_t t) (ls : list_t t) : list_t t = + ls + +(** [hashmap::HashMap::move_elements]: decreases clause *) +unfold +let hashMap_move_elements_loop_decreases (t : Type0) (ntable : hashMap_t t) + (slots : alloc_vec_Vec (list_t t)) (i : usize) : nat = + if i < length slots then length slots - i else 0 + +(** [hashmap::HashMap::contains_key_in_list]: decreases clause *) +unfold +let hashMap_contains_key_in_list_loop_decreases (t : Type0) (key : usize) + (ls : list_t t) : list_t t = + ls + +(** [hashmap::HashMap::get_in_list]: decreases clause *) +unfold +let hashMap_get_in_list_loop_decreases (t : Type0) (key : usize) (ls : list_t t) : + list_t t = + ls + +(** [hashmap::HashMap::get_mut_in_list]: decreases clause *) +unfold +let hashMap_get_mut_in_list_loop_decreases (t : Type0) (ls : list_t t) + (key : usize) : list_t t = + ls + +(** [hashmap::HashMap::remove_from_list]: decreases clause *) +unfold +let hashMap_remove_from_list_loop_decreases (t : Type0) (key : usize) + (ls : list_t t) : list_t t = + ls + diff --git a/tests/fstar-split/hashmap/Hashmap.Funs.fst b/tests/fstar-split/hashmap/Hashmap.Funs.fst new file mode 100644 index 00000000..290d49ee --- /dev/null +++ b/tests/fstar-split/hashmap/Hashmap.Funs.fst @@ -0,0 +1,529 @@ +(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *) +(** [hashmap]: function definitions *) +module Hashmap.Funs +open Primitives +include Hashmap.Types +include Hashmap.Clauses + +#set-options "--z3rlimit 50 --fuel 1 --ifuel 1" + +(** [hashmap::hash_key]: forward function + Source: 'src/hashmap.rs', lines 27:0-27:32 *) +let hash_key (k : usize) : result usize = + Return k + +(** [hashmap::{hashmap::HashMap<T>}::allocate_slots]: loop 0: forward function + Source: 'src/hashmap.rs', lines 50:4-56:5 *) +let rec hashMap_allocate_slots_loop + (t : Type0) (slots : alloc_vec_Vec (list_t t)) (n : usize) : + Tot (result (alloc_vec_Vec (list_t t))) + (decreases (hashMap_allocate_slots_loop_decreases t slots n)) + = + if n > 0 + then + let* slots1 = alloc_vec_Vec_push (list_t t) slots List_Nil in + let* n1 = usize_sub n 1 in + hashMap_allocate_slots_loop t slots1 n1 + else Return slots + +(** [hashmap::{hashmap::HashMap<T>}::allocate_slots]: forward function + Source: 'src/hashmap.rs', lines 50:4-50:76 *) +let hashMap_allocate_slots + (t : Type0) (slots : alloc_vec_Vec (list_t t)) (n : usize) : + result (alloc_vec_Vec (list_t t)) + = + hashMap_allocate_slots_loop t slots n + +(** [hashmap::{hashmap::HashMap<T>}::new_with_capacity]: forward function + Source: 'src/hashmap.rs', lines 59:4-63:13 *) +let hashMap_new_with_capacity + (t : Type0) (capacity : usize) (max_load_dividend : usize) + (max_load_divisor : usize) : + result (hashMap_t t) + = + let* slots = hashMap_allocate_slots t (alloc_vec_Vec_new (list_t t)) capacity + in + let* i = usize_mul capacity max_load_dividend in + let* i1 = usize_div i max_load_divisor in + Return + { + num_entries = 0; + max_load_factor = (max_load_dividend, max_load_divisor); + max_load = i1; + slots = slots + } + +(** [hashmap::{hashmap::HashMap<T>}::new]: forward function + Source: 'src/hashmap.rs', lines 75:4-75:24 *) +let hashMap_new (t : Type0) : result (hashMap_t t) = + hashMap_new_with_capacity t 32 4 5 + +(** [hashmap::{hashmap::HashMap<T>}::clear]: loop 0: merged forward/backward function + (there is a single backward function, and the forward function returns ()) + Source: 'src/hashmap.rs', lines 80:4-88:5 *) +let rec hashMap_clear_loop + (t : Type0) (slots : alloc_vec_Vec (list_t t)) (i : usize) : + Tot (result (alloc_vec_Vec (list_t t))) + (decreases (hashMap_clear_loop_decreases t slots i)) + = + let i1 = alloc_vec_Vec_len (list_t t) slots in + if i < i1 + then + let* i2 = usize_add i 1 in + let* slots1 = + alloc_vec_Vec_index_mut_back (list_t t) usize + (core_slice_index_SliceIndexUsizeSliceTInst (list_t t)) slots i + List_Nil in + hashMap_clear_loop t slots1 i2 + else Return slots + +(** [hashmap::{hashmap::HashMap<T>}::clear]: merged forward/backward function + (there is a single backward function, and the forward function returns ()) + Source: 'src/hashmap.rs', lines 80:4-80:27 *) +let hashMap_clear (t : Type0) (self : hashMap_t t) : result (hashMap_t t) = + let* v = hashMap_clear_loop t self.slots 0 in + Return { self with num_entries = 0; slots = v } + +(** [hashmap::{hashmap::HashMap<T>}::len]: forward function + Source: 'src/hashmap.rs', lines 90:4-90:30 *) +let hashMap_len (t : Type0) (self : hashMap_t t) : result usize = + Return self.num_entries + +(** [hashmap::{hashmap::HashMap<T>}::insert_in_list]: loop 0: forward function + Source: 'src/hashmap.rs', lines 97:4-114:5 *) +let rec hashMap_insert_in_list_loop + (t : Type0) (key : usize) (value : t) (ls : list_t t) : + Tot (result bool) + (decreases (hashMap_insert_in_list_loop_decreases t key value ls)) + = + begin match ls with + | List_Cons ckey _ tl -> + if ckey = key + then Return false + else hashMap_insert_in_list_loop t key value tl + | List_Nil -> Return true + end + +(** [hashmap::{hashmap::HashMap<T>}::insert_in_list]: forward function + Source: 'src/hashmap.rs', lines 97:4-97:71 *) +let hashMap_insert_in_list + (t : Type0) (key : usize) (value : t) (ls : list_t t) : result bool = + hashMap_insert_in_list_loop t key value ls + +(** [hashmap::{hashmap::HashMap<T>}::insert_in_list]: loop 0: backward function 0 + Source: 'src/hashmap.rs', lines 97:4-114:5 *) +let rec hashMap_insert_in_list_loop_back + (t : Type0) (key : usize) (value : t) (ls : list_t t) : + Tot (result (list_t t)) + (decreases (hashMap_insert_in_list_loop_decreases t key value ls)) + = + begin match ls with + | List_Cons ckey cvalue tl -> + if ckey = key + then Return (List_Cons ckey value tl) + else + let* tl1 = hashMap_insert_in_list_loop_back t key value tl in + Return (List_Cons ckey cvalue tl1) + | List_Nil -> Return (List_Cons key value List_Nil) + end + +(** [hashmap::{hashmap::HashMap<T>}::insert_in_list]: backward function 0 + Source: 'src/hashmap.rs', lines 97:4-97:71 *) +let hashMap_insert_in_list_back + (t : Type0) (key : usize) (value : t) (ls : list_t t) : result (list_t t) = + hashMap_insert_in_list_loop_back t 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 ()) + Source: 'src/hashmap.rs', lines 117:4-117:54 *) +let hashMap_insert_no_resize + (t : Type0) (self : hashMap_t t) (key : usize) (value : t) : + result (hashMap_t t) + = + let* hash = hash_key key in + let i = alloc_vec_Vec_len (list_t t) self.slots in + let* hash_mod = usize_rem hash i in + let* l = + alloc_vec_Vec_index_mut (list_t t) usize + (core_slice_index_SliceIndexUsizeSliceTInst (list_t t)) self.slots + hash_mod in + let* inserted = hashMap_insert_in_list t key value l in + if inserted + then + let* i1 = usize_add self.num_entries 1 in + let* l1 = hashMap_insert_in_list_back t key value l in + let* v = + alloc_vec_Vec_index_mut_back (list_t t) usize + (core_slice_index_SliceIndexUsizeSliceTInst (list_t t)) self.slots + hash_mod l1 in + Return { self with num_entries = i1; slots = v } + else + let* l1 = hashMap_insert_in_list_back t key value l in + let* v = + alloc_vec_Vec_index_mut_back (list_t t) usize + (core_slice_index_SliceIndexUsizeSliceTInst (list_t t)) self.slots + hash_mod l1 in + Return { self with slots = v } + +(** [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 ()) + Source: 'src/hashmap.rs', lines 183:4-196:5 *) +let rec hashMap_move_elements_from_list_loop + (t : Type0) (ntable : hashMap_t t) (ls : list_t t) : + Tot (result (hashMap_t t)) + (decreases (hashMap_move_elements_from_list_loop_decreases t ntable ls)) + = + begin match ls with + | List_Cons k v tl -> + let* ntable1 = hashMap_insert_no_resize t ntable k v in + hashMap_move_elements_from_list_loop t ntable1 tl + | List_Nil -> Return ntable + end + +(** [hashmap::{hashmap::HashMap<T>}::move_elements_from_list]: merged forward/backward function + (there is a single backward function, and the forward function returns ()) + Source: 'src/hashmap.rs', lines 183:4-183:72 *) +let hashMap_move_elements_from_list + (t : Type0) (ntable : hashMap_t t) (ls : list_t t) : result (hashMap_t t) = + hashMap_move_elements_from_list_loop t 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 ()) + Source: 'src/hashmap.rs', lines 171:4-180:5 *) +let rec hashMap_move_elements_loop + (t : Type0) (ntable : hashMap_t t) (slots : alloc_vec_Vec (list_t t)) + (i : usize) : + Tot (result ((hashMap_t t) & (alloc_vec_Vec (list_t t)))) + (decreases (hashMap_move_elements_loop_decreases t ntable slots i)) + = + let i1 = alloc_vec_Vec_len (list_t t) slots in + if i < i1 + then + let* l = + alloc_vec_Vec_index_mut (list_t t) usize + (core_slice_index_SliceIndexUsizeSliceTInst (list_t t)) slots i in + let ls = core_mem_replace (list_t t) l List_Nil in + let* ntable1 = hashMap_move_elements_from_list t ntable ls in + let* i2 = usize_add i 1 in + let l1 = core_mem_replace_back (list_t t) l List_Nil in + let* slots1 = + alloc_vec_Vec_index_mut_back (list_t t) usize + (core_slice_index_SliceIndexUsizeSliceTInst (list_t t)) slots i l1 in + hashMap_move_elements_loop t ntable1 slots1 i2 + else Return (ntable, slots) + +(** [hashmap::{hashmap::HashMap<T>}::move_elements]: merged forward/backward function + (there is a single backward function, and the forward function returns ()) + Source: 'src/hashmap.rs', lines 171:4-171:95 *) +let hashMap_move_elements + (t : Type0) (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 ntable slots i + +(** [hashmap::{hashmap::HashMap<T>}::try_resize]: merged forward/backward function + (there is a single backward function, and the forward function returns ()) + Source: 'src/hashmap.rs', lines 140:4-140:28 *) +let hashMap_try_resize + (t : Type0) (self : hashMap_t t) : result (hashMap_t t) = + let* max_usize = scalar_cast U32 Usize core_u32_max in + let capacity = alloc_vec_Vec_len (list_t t) self.slots in + let* n1 = usize_div max_usize 2 in + let (i, i1) = self.max_load_factor in + let* i2 = usize_div n1 i in + if capacity <= i2 + then + let* i3 = usize_mul capacity 2 in + let* ntable = hashMap_new_with_capacity t i3 i i1 in + let* (ntable1, _) = hashMap_move_elements t ntable self.slots 0 in + Return + { ntable1 with num_entries = self.num_entries; max_load_factor = (i, i1) + } + else Return { self with max_load_factor = (i, i1) } + +(** [hashmap::{hashmap::HashMap<T>}::insert]: merged forward/backward function + (there is a single backward function, and the forward function returns ()) + Source: 'src/hashmap.rs', lines 129:4-129:48 *) +let hashMap_insert + (t : Type0) (self : hashMap_t t) (key : usize) (value : t) : + result (hashMap_t t) + = + let* self1 = hashMap_insert_no_resize t self key value in + let* i = hashMap_len t self1 in + if i > self1.max_load then hashMap_try_resize t self1 else Return self1 + +(** [hashmap::{hashmap::HashMap<T>}::contains_key_in_list]: loop 0: forward function + Source: 'src/hashmap.rs', lines 206:4-219:5 *) +let rec hashMap_contains_key_in_list_loop + (t : Type0) (key : usize) (ls : list_t t) : + Tot (result bool) + (decreases (hashMap_contains_key_in_list_loop_decreases t key ls)) + = + begin match ls with + | List_Cons ckey _ tl -> + if ckey = key + then Return true + else hashMap_contains_key_in_list_loop t key tl + | List_Nil -> Return false + end + +(** [hashmap::{hashmap::HashMap<T>}::contains_key_in_list]: forward function + Source: 'src/hashmap.rs', lines 206:4-206:68 *) +let hashMap_contains_key_in_list + (t : Type0) (key : usize) (ls : list_t t) : result bool = + hashMap_contains_key_in_list_loop t key ls + +(** [hashmap::{hashmap::HashMap<T>}::contains_key]: forward function + Source: 'src/hashmap.rs', lines 199:4-199:49 *) +let hashMap_contains_key + (t : Type0) (self : hashMap_t t) (key : usize) : result bool = + let* hash = hash_key key in + let i = alloc_vec_Vec_len (list_t t) self.slots in + let* hash_mod = usize_rem hash i in + let* l = + alloc_vec_Vec_index (list_t t) usize + (core_slice_index_SliceIndexUsizeSliceTInst (list_t t)) self.slots + hash_mod in + hashMap_contains_key_in_list t key l + +(** [hashmap::{hashmap::HashMap<T>}::get_in_list]: loop 0: forward function + Source: 'src/hashmap.rs', lines 224:4-237:5 *) +let rec hashMap_get_in_list_loop + (t : Type0) (key : usize) (ls : list_t t) : + Tot (result t) (decreases (hashMap_get_in_list_loop_decreases t key ls)) + = + begin match ls with + | List_Cons ckey cvalue tl -> + if ckey = key then Return cvalue else hashMap_get_in_list_loop t key tl + | List_Nil -> Fail Failure + end + +(** [hashmap::{hashmap::HashMap<T>}::get_in_list]: forward function + Source: 'src/hashmap.rs', lines 224:4-224:70 *) +let hashMap_get_in_list (t : Type0) (key : usize) (ls : list_t t) : result t = + hashMap_get_in_list_loop t key ls + +(** [hashmap::{hashmap::HashMap<T>}::get]: forward function + Source: 'src/hashmap.rs', lines 239:4-239:55 *) +let hashMap_get (t : Type0) (self : hashMap_t t) (key : usize) : result t = + let* hash = hash_key key in + let i = alloc_vec_Vec_len (list_t t) self.slots in + let* hash_mod = usize_rem hash i in + let* l = + alloc_vec_Vec_index (list_t t) usize + (core_slice_index_SliceIndexUsizeSliceTInst (list_t t)) self.slots + hash_mod in + hashMap_get_in_list t key l + +(** [hashmap::{hashmap::HashMap<T>}::get_mut_in_list]: loop 0: forward function + Source: 'src/hashmap.rs', lines 245:4-254:5 *) +let rec hashMap_get_mut_in_list_loop + (t : Type0) (ls : list_t t) (key : usize) : + Tot (result t) (decreases (hashMap_get_mut_in_list_loop_decreases t ls key)) + = + begin match ls with + | List_Cons ckey cvalue tl -> + if ckey = key then Return cvalue else hashMap_get_mut_in_list_loop t tl key + | List_Nil -> Fail Failure + end + +(** [hashmap::{hashmap::HashMap<T>}::get_mut_in_list]: forward function + Source: 'src/hashmap.rs', lines 245:4-245:86 *) +let hashMap_get_mut_in_list + (t : Type0) (ls : list_t t) (key : usize) : result t = + hashMap_get_mut_in_list_loop t ls key + +(** [hashmap::{hashmap::HashMap<T>}::get_mut_in_list]: loop 0: backward function 0 + Source: 'src/hashmap.rs', lines 245:4-254:5 *) +let rec hashMap_get_mut_in_list_loop_back + (t : Type0) (ls : list_t t) (key : usize) (ret : t) : + Tot (result (list_t t)) + (decreases (hashMap_get_mut_in_list_loop_decreases t ls key)) + = + begin match ls with + | List_Cons ckey cvalue tl -> + if ckey = key + then Return (List_Cons ckey ret tl) + else + let* tl1 = hashMap_get_mut_in_list_loop_back t tl key ret in + Return (List_Cons ckey cvalue tl1) + | List_Nil -> Fail Failure + end + +(** [hashmap::{hashmap::HashMap<T>}::get_mut_in_list]: backward function 0 + Source: 'src/hashmap.rs', lines 245:4-245:86 *) +let hashMap_get_mut_in_list_back + (t : Type0) (ls : list_t t) (key : usize) (ret : t) : result (list_t t) = + hashMap_get_mut_in_list_loop_back t ls key ret + +(** [hashmap::{hashmap::HashMap<T>}::get_mut]: forward function + Source: 'src/hashmap.rs', lines 257:4-257:67 *) +let hashMap_get_mut (t : Type0) (self : hashMap_t t) (key : usize) : result t = + let* hash = hash_key key in + let i = alloc_vec_Vec_len (list_t t) self.slots in + let* hash_mod = usize_rem hash i in + let* l = + alloc_vec_Vec_index_mut (list_t t) usize + (core_slice_index_SliceIndexUsizeSliceTInst (list_t t)) self.slots + hash_mod in + hashMap_get_mut_in_list t l key + +(** [hashmap::{hashmap::HashMap<T>}::get_mut]: backward function 0 + Source: 'src/hashmap.rs', lines 257:4-257:67 *) +let hashMap_get_mut_back + (t : Type0) (self : hashMap_t t) (key : usize) (ret : t) : + result (hashMap_t t) + = + let* hash = hash_key key in + let i = alloc_vec_Vec_len (list_t t) self.slots in + let* hash_mod = usize_rem hash i in + let* l = + alloc_vec_Vec_index_mut (list_t t) usize + (core_slice_index_SliceIndexUsizeSliceTInst (list_t t)) self.slots + hash_mod in + let* l1 = hashMap_get_mut_in_list_back t l key ret in + let* v = + alloc_vec_Vec_index_mut_back (list_t t) usize + (core_slice_index_SliceIndexUsizeSliceTInst (list_t t)) self.slots + hash_mod l1 in + Return { self with slots = v } + +(** [hashmap::{hashmap::HashMap<T>}::remove_from_list]: loop 0: forward function + Source: 'src/hashmap.rs', lines 265:4-291:5 *) +let rec hashMap_remove_from_list_loop + (t : Type0) (key : usize) (ls : list_t t) : + Tot (result (option t)) + (decreases (hashMap_remove_from_list_loop_decreases t key ls)) + = + begin match ls with + | List_Cons ckey x tl -> + if ckey = key + then + let mv_ls = core_mem_replace (list_t t) (List_Cons ckey x tl) List_Nil in + begin match mv_ls with + | List_Cons _ cvalue _ -> Return (Some cvalue) + | List_Nil -> Fail Failure + end + else hashMap_remove_from_list_loop t key tl + | List_Nil -> Return None + end + +(** [hashmap::{hashmap::HashMap<T>}::remove_from_list]: forward function + Source: 'src/hashmap.rs', lines 265:4-265:69 *) +let hashMap_remove_from_list + (t : Type0) (key : usize) (ls : list_t t) : result (option t) = + hashMap_remove_from_list_loop t key ls + +(** [hashmap::{hashmap::HashMap<T>}::remove_from_list]: loop 0: backward function 1 + Source: 'src/hashmap.rs', lines 265:4-291:5 *) +let rec hashMap_remove_from_list_loop_back + (t : Type0) (key : usize) (ls : list_t t) : + Tot (result (list_t t)) + (decreases (hashMap_remove_from_list_loop_decreases t key ls)) + = + begin match ls with + | List_Cons ckey x tl -> + if ckey = key + then + let mv_ls = core_mem_replace (list_t t) (List_Cons ckey x tl) List_Nil in + begin match mv_ls with + | List_Cons _ _ tl1 -> Return tl1 + | List_Nil -> Fail Failure + end + else + let* tl1 = hashMap_remove_from_list_loop_back t key tl in + Return (List_Cons ckey x tl1) + | List_Nil -> Return List_Nil + end + +(** [hashmap::{hashmap::HashMap<T>}::remove_from_list]: backward function 1 + Source: 'src/hashmap.rs', lines 265:4-265:69 *) +let hashMap_remove_from_list_back + (t : Type0) (key : usize) (ls : list_t t) : result (list_t t) = + hashMap_remove_from_list_loop_back t key ls + +(** [hashmap::{hashmap::HashMap<T>}::remove]: forward function + Source: 'src/hashmap.rs', lines 294:4-294:52 *) +let hashMap_remove + (t : Type0) (self : hashMap_t t) (key : usize) : result (option t) = + let* hash = hash_key key in + let i = alloc_vec_Vec_len (list_t t) self.slots in + let* hash_mod = usize_rem hash i in + let* l = + alloc_vec_Vec_index_mut (list_t t) usize + (core_slice_index_SliceIndexUsizeSliceTInst (list_t t)) self.slots + hash_mod in + let* x = hashMap_remove_from_list t key l in + begin match x with + | None -> Return None + | Some x1 -> let* _ = usize_sub self.num_entries 1 in Return (Some x1) + end + +(** [hashmap::{hashmap::HashMap<T>}::remove]: backward function 0 + Source: 'src/hashmap.rs', lines 294:4-294:52 *) +let hashMap_remove_back + (t : Type0) (self : hashMap_t t) (key : usize) : result (hashMap_t t) = + let* hash = hash_key key in + let i = alloc_vec_Vec_len (list_t t) self.slots in + let* hash_mod = usize_rem hash i in + let* l = + alloc_vec_Vec_index_mut (list_t t) usize + (core_slice_index_SliceIndexUsizeSliceTInst (list_t t)) self.slots + hash_mod in + let* x = hashMap_remove_from_list t key l in + begin match x with + | None -> + let* l1 = hashMap_remove_from_list_back t key l in + let* v = + alloc_vec_Vec_index_mut_back (list_t t) usize + (core_slice_index_SliceIndexUsizeSliceTInst (list_t t)) self.slots + hash_mod l1 in + Return { self with slots = v } + | Some _ -> + let* i1 = usize_sub self.num_entries 1 in + let* l1 = hashMap_remove_from_list_back t key l in + let* v = + alloc_vec_Vec_index_mut_back (list_t t) usize + (core_slice_index_SliceIndexUsizeSliceTInst (list_t t)) self.slots + hash_mod l1 in + Return { self with num_entries = i1; slots = v } + end + +(** [hashmap::test1]: forward function + Source: 'src/hashmap.rs', lines 315:0-315:10 *) +let test1 : result unit = + let* hm = hashMap_new u64 in + let* hm1 = hashMap_insert u64 hm 0 42 in + let* hm2 = hashMap_insert u64 hm1 128 18 in + let* hm3 = hashMap_insert u64 hm2 1024 138 in + let* hm4 = hashMap_insert u64 hm3 1056 256 in + let* i = hashMap_get u64 hm4 128 in + if not (i = 18) + then Fail Failure + else + let* hm5 = hashMap_get_mut_back u64 hm4 1024 56 in + let* i1 = hashMap_get u64 hm5 1024 in + if not (i1 = 56) + then Fail Failure + else + let* x = hashMap_remove u64 hm5 1024 in + begin match x with + | None -> Fail Failure + | Some x1 -> + if not (x1 = 56) + then Fail Failure + else + let* hm6 = hashMap_remove_back u64 hm5 1024 in + let* i2 = hashMap_get u64 hm6 0 in + if not (i2 = 42) + then Fail Failure + else + let* i3 = hashMap_get u64 hm6 128 in + if not (i3 = 18) + then Fail Failure + else + let* i4 = hashMap_get u64 hm6 1056 in + if not (i4 = 256) then Fail Failure else Return () + end + diff --git a/tests/fstar/hashmap/Hashmap.Properties.fst b/tests/fstar-split/hashmap/Hashmap.Properties.fst index def520f0..def520f0 100644 --- a/tests/fstar/hashmap/Hashmap.Properties.fst +++ b/tests/fstar-split/hashmap/Hashmap.Properties.fst diff --git a/tests/fstar/hashmap/Hashmap.Properties.fsti b/tests/fstar-split/hashmap/Hashmap.Properties.fsti index 26c0ec06..26c0ec06 100644 --- a/tests/fstar/hashmap/Hashmap.Properties.fsti +++ b/tests/fstar-split/hashmap/Hashmap.Properties.fsti diff --git a/tests/fstar-split/hashmap/Hashmap.Types.fst b/tests/fstar-split/hashmap/Hashmap.Types.fst new file mode 100644 index 00000000..ef96b1e9 --- /dev/null +++ b/tests/fstar-split/hashmap/Hashmap.Types.fst @@ -0,0 +1,23 @@ +(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *) +(** [hashmap]: type definitions *) +module Hashmap.Types +open Primitives + +#set-options "--z3rlimit 50 --fuel 1 --ifuel 1" + +(** [hashmap::List] + Source: 'src/hashmap.rs', lines 19:0-19:16 *) +type list_t (t : Type0) = +| List_Cons : usize -> t -> list_t t -> list_t t +| List_Nil : list_t t + +(** [hashmap::HashMap] + Source: 'src/hashmap.rs', lines 35:0-35:21 *) +type hashMap_t (t : Type0) = +{ + num_entries : usize; + max_load_factor : (usize & usize); + max_load : usize; + slots : alloc_vec_Vec (list_t t); +} + diff --git a/tests/fstar-split/hashmap/Makefile b/tests/fstar-split/hashmap/Makefile new file mode 100644 index 00000000..fa7d1f36 --- /dev/null +++ b/tests/fstar-split/hashmap/Makefile @@ -0,0 +1,49 @@ +# This file was automatically generated - modify ../Makefile.template instead +INCLUDE_DIRS = . + +FSTAR_INCLUDES = $(addprefix --include ,$(INCLUDE_DIRS)) + +FSTAR_HINTS ?= --use_hints --use_hint_hashes --record_hints + +FSTAR_OPTIONS = $(FSTAR_HINTS) \ + --cache_checked_modules $(FSTAR_INCLUDES) --cmi \ + --warn_error '+241@247+285-274' \ + +FSTAR_EXE ?= fstar.exe +FSTAR_NO_FLAGS = $(FSTAR_EXE) --already_cached 'Prims FStar LowStar Steel' --odir obj --cache_dir obj + +FSTAR = $(FSTAR_NO_FLAGS) $(FSTAR_OPTIONS) + +# The F* roots are used to compute the dependency graph, and generate the .depend file +FSTAR_ROOTS ?= $(wildcard *.fst *.fsti) + +# Build all the files +all: $(addprefix obj/,$(addsuffix .checked,$(FSTAR_ROOTS))) + +# This is the right way to ensure the .depend file always gets re-built. +ifeq (,$(filter %-in,$(MAKECMDGOALS))) +ifndef NODEPEND +ifndef MAKE_RESTARTS +.depend: .FORCE + $(FSTAR_NO_FLAGS) --dep full $(notdir $(FSTAR_ROOTS)) > $@ + +.PHONY: .FORCE +.FORCE: +endif +endif + +include .depend +endif + +# For the interactive mode +%.fst-in %.fsti-in: + @echo $(FSTAR_OPTIONS) + +# Generete the .checked files in batch mode +%.checked: + $(FSTAR) $(FSTAR_OPTIONS) $< && \ + touch -c $@ + +.PHONY: clean +clean: + rm -f obj/* diff --git a/tests/fstar-split/hashmap/Primitives.fst b/tests/fstar-split/hashmap/Primitives.fst new file mode 100644 index 00000000..a3ffbde4 --- /dev/null +++ b/tests/fstar-split/hashmap/Primitives.fst @@ -0,0 +1,884 @@ +/// This file lists primitive and assumed functions and types +module Primitives +open FStar.Mul +open FStar.List.Tot + +#set-options "--z3rlimit 15 --fuel 0 --ifuel 1" + +(*** Utilities *) +val list_update (#a : Type0) (ls : list a) (i : nat{i < length ls}) (x : a) : + ls':list a{ + length ls' = length ls /\ + index ls' i == x + } +#push-options "--fuel 1" +let rec list_update #a ls i x = + match ls with + | x' :: ls -> if i = 0 then x :: ls else x' :: list_update ls (i-1) x +#pop-options + +(*** Result *) +type error : Type0 = +| Failure +| OutOfFuel + +type result (a : Type0) : Type0 = +| Return : v:a -> result a +| Fail : e:error -> result a + +// Monadic return operator +unfold let return (#a : Type0) (x : a) : result a = Return x + +// Monadic bind operator. +// Allows to use the notation: +// ``` +// let* x = y in +// ... +// ``` +unfold let (let*) (#a #b : Type0) (m: result a) + (f: (x:a) -> Pure (result b) (requires (m == Return x)) (ensures fun _ -> True)) : + result b = + match m with + | Return x -> f x + | Fail e -> Fail e + +// Monadic assert(...) +let massert (b:bool) : result unit = if b then Return () else Fail Failure + +// Normalize and unwrap a successful result (used for globals). +let eval_global (#a : Type0) (x : result a{Return? (normalize_term x)}) : a = Return?.v x + +(*** Misc *) +type char = FStar.Char.char +type string = string + +let is_zero (n: nat) : bool = n = 0 +let decrease (n: nat{n > 0}) : nat = n - 1 + +let core_mem_replace (a : Type0) (x : a) (y : a) : a = x +let core_mem_replace_back (a : Type0) (x : a) (y : a) : a = y + +// We don't really use raw pointers for now +type mut_raw_ptr (t : Type0) = { v : t } +type const_raw_ptr (t : Type0) = { v : t } + +(*** Scalars *) +/// Rem.: most of the following code was partially generated + +assume val size_numbits : pos + +// TODO: we could use FStar.Int.int_t and FStar.UInt.int_t + +let isize_min : int = -9223372036854775808 // TODO: should be opaque +let isize_max : int = 9223372036854775807 // TODO: should be opaque +let i8_min : int = -128 +let i8_max : int = 127 +let i16_min : int = -32768 +let i16_max : int = 32767 +let i32_min : int = -2147483648 +let i32_max : int = 2147483647 +let i64_min : int = -9223372036854775808 +let i64_max : int = 9223372036854775807 +let i128_min : int = -170141183460469231731687303715884105728 +let i128_max : int = 170141183460469231731687303715884105727 +let usize_min : int = 0 +let usize_max : int = 4294967295 // TODO: should be opaque +let u8_min : int = 0 +let u8_max : int = 255 +let u16_min : int = 0 +let u16_max : int = 65535 +let u32_min : int = 0 +let u32_max : int = 4294967295 +let u64_min : int = 0 +let u64_max : int = 18446744073709551615 +let u128_min : int = 0 +let u128_max : int = 340282366920938463463374607431768211455 + +type scalar_ty = +| Isize +| I8 +| I16 +| I32 +| I64 +| I128 +| Usize +| U8 +| U16 +| U32 +| U64 +| U128 + +let is_unsigned = function + | Isize | I8 | I16 | I32 | I64 | I128 -> false + | Usize | U8 | U16 | U32 | U64 | U128 -> true + +let scalar_min (ty : scalar_ty) : int = + match ty with + | Isize -> isize_min + | I8 -> i8_min + | I16 -> i16_min + | I32 -> i32_min + | I64 -> i64_min + | I128 -> i128_min + | Usize -> usize_min + | U8 -> u8_min + | U16 -> u16_min + | U32 -> u32_min + | U64 -> u64_min + | U128 -> u128_min + +let scalar_max (ty : scalar_ty) : int = + match ty with + | Isize -> isize_max + | I8 -> i8_max + | I16 -> i16_max + | I32 -> i32_max + | I64 -> i64_max + | I128 -> i128_max + | Usize -> usize_max + | U8 -> u8_max + | U16 -> u16_max + | U32 -> u32_max + | U64 -> u64_max + | U128 -> u128_max + +type scalar (ty : scalar_ty) : eqtype = x:int{scalar_min ty <= x && x <= scalar_max ty} + +let mk_scalar (ty : scalar_ty) (x : int) : result (scalar ty) = + if scalar_min ty <= x && scalar_max ty >= x then Return x else Fail Failure + +let scalar_neg (#ty : scalar_ty) (x : scalar ty) : result (scalar ty) = mk_scalar ty (-x) + +let scalar_div (#ty : scalar_ty) (x : scalar ty) (y : scalar ty) : result (scalar ty) = + if y <> 0 then mk_scalar ty (x / y) else Fail Failure + +/// The remainder operation +let int_rem (x : int) (y : int{y <> 0}) : int = + if x >= 0 then (x % y) else -(x % y) + +(* Checking consistency with Rust *) +let _ = assert_norm(int_rem 1 2 = 1) +let _ = assert_norm(int_rem (-1) 2 = -1) +let _ = assert_norm(int_rem 1 (-2) = 1) +let _ = assert_norm(int_rem (-1) (-2) = -1) + +let scalar_rem (#ty : scalar_ty) (x : scalar ty) (y : scalar ty) : result (scalar ty) = + if y <> 0 then mk_scalar ty (int_rem x y) else Fail Failure + +let scalar_add (#ty : scalar_ty) (x : scalar ty) (y : scalar ty) : result (scalar ty) = + mk_scalar ty (x + y) + +let scalar_sub (#ty : scalar_ty) (x : scalar ty) (y : scalar ty) : result (scalar ty) = + mk_scalar ty (x - y) + +let scalar_mul (#ty : scalar_ty) (x : scalar ty) (y : scalar ty) : result (scalar ty) = + mk_scalar ty (x * y) + +let scalar_xor (#ty : scalar_ty) + (x : scalar ty) (y : scalar ty) : scalar ty = + match ty with + | U8 -> FStar.UInt.logxor #8 x y + | U16 -> FStar.UInt.logxor #16 x y + | U32 -> FStar.UInt.logxor #32 x y + | U64 -> FStar.UInt.logxor #64 x y + | U128 -> FStar.UInt.logxor #128 x y + | Usize -> admit() // TODO + | I8 -> + // Encoding issues... + normalize_spec (FStar.Int.int_t 8); + normalize_spec (scalar I8); + FStar.Int.logxor #8 x y + | I16 -> + // Encoding issues... + normalize_spec (FStar.Int.int_t 16); + normalize_spec (scalar I16); + FStar.Int.logxor #16 x y + | I32 -> FStar.Int.logxor #32 x y + | I64 -> FStar.Int.logxor #64 x y + | I128 -> + // Encoding issues... + normalize_spec (FStar.Int.int_t 128); + normalize_spec (scalar I128); + FStar.Int.logxor #128 x y + | Isize -> admit() // TODO + +let scalar_or (#ty : scalar_ty) + (x : scalar ty) (y : scalar ty) : scalar ty = + match ty with + | U8 -> FStar.UInt.logor #8 x y + | U16 -> FStar.UInt.logor #16 x y + | U32 -> FStar.UInt.logor #32 x y + | U64 -> FStar.UInt.logor #64 x y + | U128 -> FStar.UInt.logor #128 x y + | Usize -> admit() // TODO + | I8 -> + // Encoding issues... + normalize_spec (FStar.Int.int_t 8); + normalize_spec (scalar I8); + FStar.Int.logor #8 x y + | I16 -> + // Encoding issues... + normalize_spec (FStar.Int.int_t 16); + normalize_spec (scalar I16); + FStar.Int.logor #16 x y + | I32 -> FStar.Int.logor #32 x y + | I64 -> FStar.Int.logor #64 x y + | I128 -> + // Encoding issues... + normalize_spec (FStar.Int.int_t 128); + normalize_spec (scalar I128); + FStar.Int.logor #128 x y + | Isize -> admit() // TODO + +let scalar_and (#ty : scalar_ty) + (x : scalar ty) (y : scalar ty) : scalar ty = + match ty with + | U8 -> FStar.UInt.logand #8 x y + | U16 -> FStar.UInt.logand #16 x y + | U32 -> FStar.UInt.logand #32 x y + | U64 -> FStar.UInt.logand #64 x y + | U128 -> FStar.UInt.logand #128 x y + | Usize -> admit() // TODO + | I8 -> + // Encoding issues... + normalize_spec (FStar.Int.int_t 8); + normalize_spec (scalar I8); + FStar.Int.logand #8 x y + | I16 -> + // Encoding issues... + normalize_spec (FStar.Int.int_t 16); + normalize_spec (scalar I16); + FStar.Int.logand #16 x y + | I32 -> FStar.Int.logand #32 x y + | I64 -> FStar.Int.logand #64 x y + | I128 -> + // Encoding issues... + normalize_spec (FStar.Int.int_t 128); + normalize_spec (scalar I128); + FStar.Int.logand #128 x y + | Isize -> admit() // TODO + +// Shift left +let scalar_shl (#ty0 #ty1 : scalar_ty) + (x : scalar ty0) (y : scalar ty1) : result (scalar ty0) = + admit() + +// Shift right +let scalar_shr (#ty0 #ty1 : scalar_ty) + (x : scalar ty0) (y : scalar ty1) : result (scalar ty0) = + admit() + +(** Cast an integer from a [src_ty] to a [tgt_ty] *) +// TODO: check the semantics of casts in Rust +let scalar_cast (src_ty : scalar_ty) (tgt_ty : scalar_ty) (x : scalar src_ty) : result (scalar tgt_ty) = + mk_scalar tgt_ty x + +// This can't fail, but for now we make all casts faillible (easier for the translation) +let scalar_cast_bool (tgt_ty : scalar_ty) (x : bool) : result (scalar tgt_ty) = + mk_scalar tgt_ty (if x then 1 else 0) + +/// The scalar types +type isize : eqtype = scalar Isize +type i8 : eqtype = scalar I8 +type i16 : eqtype = scalar I16 +type i32 : eqtype = scalar I32 +type i64 : eqtype = scalar I64 +type i128 : eqtype = scalar I128 +type usize : eqtype = scalar Usize +type u8 : eqtype = scalar U8 +type u16 : eqtype = scalar U16 +type u32 : eqtype = scalar U32 +type u64 : eqtype = scalar U64 +type u128 : eqtype = scalar U128 + + +let core_isize_min : isize = isize_min +let core_isize_max : isize = isize_max +let core_i8_min : i8 = i8_min +let core_i8_max : i8 = i8_max +let core_i16_min : i16 = i16_min +let core_i16_max : i16 = i16_max +let core_i32_min : i32 = i32_min +let core_i32_max : i32 = i32_max +let core_i64_min : i64 = i64_min +let core_i64_max : i64 = i64_max +let core_i128_min : i128 = i128_min +let core_i128_max : i128 = i128_max + +let core_usize_min : usize = usize_min +let core_usize_max : usize = usize_max +let core_u8_min : u8 = u8_min +let core_u8_max : u8 = u8_max +let core_u16_min : u16 = u16_min +let core_u16_max : u16 = u16_max +let core_u32_min : u32 = u32_min +let core_u32_max : u32 = u32_max +let core_u64_min : u64 = u64_min +let core_u64_max : u64 = u64_max +let core_u128_min : u128 = u128_min +let core_u128_max : u128 = u128_max + +/// Negation +let isize_neg = scalar_neg #Isize +let i8_neg = scalar_neg #I8 +let i16_neg = scalar_neg #I16 +let i32_neg = scalar_neg #I32 +let i64_neg = scalar_neg #I64 +let i128_neg = scalar_neg #I128 + +/// Division +let isize_div = scalar_div #Isize +let i8_div = scalar_div #I8 +let i16_div = scalar_div #I16 +let i32_div = scalar_div #I32 +let i64_div = scalar_div #I64 +let i128_div = scalar_div #I128 +let usize_div = scalar_div #Usize +let u8_div = scalar_div #U8 +let u16_div = scalar_div #U16 +let u32_div = scalar_div #U32 +let u64_div = scalar_div #U64 +let u128_div = scalar_div #U128 + +/// Remainder +let isize_rem = scalar_rem #Isize +let i8_rem = scalar_rem #I8 +let i16_rem = scalar_rem #I16 +let i32_rem = scalar_rem #I32 +let i64_rem = scalar_rem #I64 +let i128_rem = scalar_rem #I128 +let usize_rem = scalar_rem #Usize +let u8_rem = scalar_rem #U8 +let u16_rem = scalar_rem #U16 +let u32_rem = scalar_rem #U32 +let u64_rem = scalar_rem #U64 +let u128_rem = scalar_rem #U128 + +/// Addition +let isize_add = scalar_add #Isize +let i8_add = scalar_add #I8 +let i16_add = scalar_add #I16 +let i32_add = scalar_add #I32 +let i64_add = scalar_add #I64 +let i128_add = scalar_add #I128 +let usize_add = scalar_add #Usize +let u8_add = scalar_add #U8 +let u16_add = scalar_add #U16 +let u32_add = scalar_add #U32 +let u64_add = scalar_add #U64 +let u128_add = scalar_add #U128 + +/// Subtraction +let isize_sub = scalar_sub #Isize +let i8_sub = scalar_sub #I8 +let i16_sub = scalar_sub #I16 +let i32_sub = scalar_sub #I32 +let i64_sub = scalar_sub #I64 +let i128_sub = scalar_sub #I128 +let usize_sub = scalar_sub #Usize +let u8_sub = scalar_sub #U8 +let u16_sub = scalar_sub #U16 +let u32_sub = scalar_sub #U32 +let u64_sub = scalar_sub #U64 +let u128_sub = scalar_sub #U128 + +/// Multiplication +let isize_mul = scalar_mul #Isize +let i8_mul = scalar_mul #I8 +let i16_mul = scalar_mul #I16 +let i32_mul = scalar_mul #I32 +let i64_mul = scalar_mul #I64 +let i128_mul = scalar_mul #I128 +let usize_mul = scalar_mul #Usize +let u8_mul = scalar_mul #U8 +let u16_mul = scalar_mul #U16 +let u32_mul = scalar_mul #U32 +let u64_mul = scalar_mul #U64 +let u128_mul = scalar_mul #U128 + +/// Xor +let u8_xor = scalar_xor #U8 +let u16_xor = scalar_xor #U16 +let u32_xor = scalar_xor #U32 +let u64_xor = scalar_xor #U64 +let u128_xor = scalar_xor #U128 +let usize_xor = scalar_xor #Usize +let i8_xor = scalar_xor #I8 +let i16_xor = scalar_xor #I16 +let i32_xor = scalar_xor #I32 +let i64_xor = scalar_xor #I64 +let i128_xor = scalar_xor #I128 +let isize_xor = scalar_xor #Isize + +/// Or +let u8_or = scalar_or #U8 +let u16_or = scalar_or #U16 +let u32_or = scalar_or #U32 +let u64_or = scalar_or #U64 +let u128_or = scalar_or #U128 +let usize_or = scalar_or #Usize +let i8_or = scalar_or #I8 +let i16_or = scalar_or #I16 +let i32_or = scalar_or #I32 +let i64_or = scalar_or #I64 +let i128_or = scalar_or #I128 +let isize_or = scalar_or #Isize + +/// And +let u8_and = scalar_and #U8 +let u16_and = scalar_and #U16 +let u32_and = scalar_and #U32 +let u64_and = scalar_and #U64 +let u128_and = scalar_and #U128 +let usize_and = scalar_and #Usize +let i8_and = scalar_and #I8 +let i16_and = scalar_and #I16 +let i32_and = scalar_and #I32 +let i64_and = scalar_and #I64 +let i128_and = scalar_and #I128 +let isize_and = scalar_and #Isize + +/// Shift left +let u8_shl #ty = scalar_shl #U8 #ty +let u16_shl #ty = scalar_shl #U16 #ty +let u32_shl #ty = scalar_shl #U32 #ty +let u64_shl #ty = scalar_shl #U64 #ty +let u128_shl #ty = scalar_shl #U128 #ty +let usize_shl #ty = scalar_shl #Usize #ty +let i8_shl #ty = scalar_shl #I8 #ty +let i16_shl #ty = scalar_shl #I16 #ty +let i32_shl #ty = scalar_shl #I32 #ty +let i64_shl #ty = scalar_shl #I64 #ty +let i128_shl #ty = scalar_shl #I128 #ty +let isize_shl #ty = scalar_shl #Isize #ty + +/// Shift right +let u8_shr #ty = scalar_shr #U8 #ty +let u16_shr #ty = scalar_shr #U16 #ty +let u32_shr #ty = scalar_shr #U32 #ty +let u64_shr #ty = scalar_shr #U64 #ty +let u128_shr #ty = scalar_shr #U128 #ty +let usize_shr #ty = scalar_shr #Usize #ty +let i8_shr #ty = scalar_shr #I8 #ty +let i16_shr #ty = scalar_shr #I16 #ty +let i32_shr #ty = scalar_shr #I32 #ty +let i64_shr #ty = scalar_shr #I64 #ty +let i128_shr #ty = scalar_shr #I128 #ty +let isize_shr #ty = scalar_shr #Isize #ty + +(*** core::ops *) + +// Trait declaration: [core::ops::index::Index] +noeq type core_ops_index_Index (self idx : Type0) = { + output : Type0; + index : self → idx → result output +} + +// Trait declaration: [core::ops::index::IndexMut] +noeq type core_ops_index_IndexMut (self idx : Type0) = { + indexInst : core_ops_index_Index self idx; + index_mut : self → idx → result indexInst.output; + index_mut_back : self → idx → indexInst.output → result self; +} + +// Trait declaration [core::ops::deref::Deref] +noeq type core_ops_deref_Deref (self : Type0) = { + target : Type0; + deref : self → result target; +} + +// Trait declaration [core::ops::deref::DerefMut] +noeq type core_ops_deref_DerefMut (self : Type0) = { + derefInst : core_ops_deref_Deref self; + deref_mut : self → result derefInst.target; + deref_mut_back : self → derefInst.target → result self; +} + +type core_ops_range_Range (a : Type0) = { + start : a; + end_ : a; +} + +(*** [alloc] *) + +let alloc_boxed_Box_deref (t : Type0) (x : t) : result t = Return x +let alloc_boxed_Box_deref_mut (t : Type0) (x : t) : result t = Return x +let alloc_boxed_Box_deref_mut_back (t : Type) (_ : t) (x : t) : result t = Return x + +// Trait instance +let alloc_boxed_Box_coreopsDerefInst (self : Type0) : core_ops_deref_Deref self = { + target = self; + deref = alloc_boxed_Box_deref self; +} + +// Trait instance +let alloc_boxed_Box_coreopsDerefMutInst (self : Type0) : core_ops_deref_DerefMut self = { + derefInst = alloc_boxed_Box_coreopsDerefInst self; + deref_mut = alloc_boxed_Box_deref_mut self; + deref_mut_back = alloc_boxed_Box_deref_mut_back self; +} + +(*** Array *) +type array (a : Type0) (n : usize) = s:list a{length s = n} + +// We tried putting the normalize_term condition as a refinement on the list +// but it didn't work. It works with the requires clause. +let mk_array (a : Type0) (n : usize) + (l : list a) : + Pure (array a n) + (requires (normalize_term(FStar.List.Tot.length l) = n)) + (ensures (fun _ -> True)) = + normalize_term_spec (FStar.List.Tot.length l); + l + +let array_index_usize (a : Type0) (n : usize) (x : array a n) (i : usize) : result a = + if i < length x then Return (index x i) + else Fail Failure + +let array_update_usize (a : Type0) (n : usize) (x : array a n) (i : usize) (nx : a) : result (array a n) = + if i < length x then Return (list_update x i nx) + else Fail Failure + +(*** Slice *) +type slice (a : Type0) = s:list a{length s <= usize_max} + +let slice_len (a : Type0) (s : slice a) : usize = length s + +let slice_index_usize (a : Type0) (x : slice a) (i : usize) : result a = + if i < length x then Return (index x i) + else Fail Failure + +let slice_update_usize (a : Type0) (x : slice a) (i : usize) (nx : a) : result (slice a) = + if i < length x then Return (list_update x i nx) + else Fail Failure + +(*** Subslices *) + +let array_to_slice (a : Type0) (n : usize) (x : array a n) : result (slice a) = Return x +let array_from_slice (a : Type0) (n : usize) (x : array a n) (s : slice a) : result (array a n) = + if length s = n then Return s + else Fail Failure + +// TODO: finish the definitions below (there lacks [List.drop] and [List.take] in the standard library *) +let array_subslice (a : Type0) (n : usize) (x : array a n) (r : core_ops_range_Range usize) : result (slice a) = + admit() + +let array_update_subslice (a : Type0) (n : usize) (x : array a n) (r : core_ops_range_Range usize) (ns : slice a) : result (array a n) = + admit() + +let array_repeat (a : Type0) (n : usize) (x : a) : array a n = + admit() + +let slice_subslice (a : Type0) (x : slice a) (r : core_ops_range_Range usize) : result (slice a) = + admit() + +let slice_update_subslice (a : Type0) (x : slice a) (r : core_ops_range_Range usize) (ns : slice a) : result (slice a) = + admit() + +(*** Vector *) +type alloc_vec_Vec (a : Type0) = v:list a{length v <= usize_max} + +let alloc_vec_Vec_new (a : Type0) : alloc_vec_Vec a = assert_norm(length #a [] == 0); [] +let alloc_vec_Vec_len (a : Type0) (v : alloc_vec_Vec a) : usize = length v + +// Helper +let alloc_vec_Vec_index_usize (#a : Type0) (v : alloc_vec_Vec a) (i : usize) : result a = + if i < length v then Return (index v i) else Fail Failure +// Helper +let alloc_vec_Vec_update_usize (#a : Type0) (v : alloc_vec_Vec a) (i : usize) (x : a) : result (alloc_vec_Vec a) = + if i < length v then Return (list_update v i x) else Fail Failure + +// The **forward** function shouldn't be used +let alloc_vec_Vec_push_fwd (a : Type0) (v : alloc_vec_Vec a) (x : a) : unit = () +let alloc_vec_Vec_push (a : Type0) (v : alloc_vec_Vec a) (x : a) : + Pure (result (alloc_vec_Vec a)) + (requires True) + (ensures (fun res -> + match res with + | Fail e -> e == Failure + | Return v' -> length v' = length v + 1)) = + if length v < usize_max then begin + (**) assert_norm(length [x] == 1); + (**) append_length v [x]; + (**) assert(length (append v [x]) = length v + 1); + Return (append v [x]) + end + else Fail Failure + +// The **forward** function shouldn't be used +let alloc_vec_Vec_insert_fwd (a : Type0) (v : alloc_vec_Vec a) (i : usize) (x : a) : result unit = + if i < length v then Return () else Fail Failure +let alloc_vec_Vec_insert (a : Type0) (v : alloc_vec_Vec a) (i : usize) (x : a) : result (alloc_vec_Vec a) = + if i < length v then Return (list_update v i x) else Fail Failure + +// Trait declaration: [core::slice::index::private_slice_index::Sealed] +type core_slice_index_private_slice_index_Sealed (self : Type0) = unit + +// Trait declaration: [core::slice::index::SliceIndex] +noeq type core_slice_index_SliceIndex (self t : Type0) = { + sealedInst : core_slice_index_private_slice_index_Sealed self; + output : Type0; + get : self → t → result (option output); + get_mut : self → t → result (option output); + get_mut_back : self → t → option output → result t; + get_unchecked : self → const_raw_ptr t → result (const_raw_ptr output); + get_unchecked_mut : self → mut_raw_ptr t → result (mut_raw_ptr output); + index : self → t → result output; + index_mut : self → t → result output; + index_mut_back : self → t → output → result t; +} + +// [core::slice::index::[T]::index]: forward function +let core_slice_index_Slice_index + (t idx : Type0) (inst : core_slice_index_SliceIndex idx (slice t)) + (s : slice t) (i : idx) : result inst.output = + let* x = inst.get i s in + match x with + | None -> Fail Failure + | Some x -> Return x + +// [core::slice::index::Range:::get]: forward function +let core_slice_index_RangeUsize_get (t : Type0) (i : core_ops_range_Range usize) (s : slice t) : + result (option (slice t)) = + admit () // TODO + +// [core::slice::index::Range::get_mut]: forward function +let core_slice_index_RangeUsize_get_mut + (t : Type0) : core_ops_range_Range usize → slice t → result (option (slice t)) = + admit () // TODO + +// [core::slice::index::Range::get_mut]: backward function 0 +let core_slice_index_RangeUsize_get_mut_back + (t : Type0) : + core_ops_range_Range usize → slice t → option (slice t) → result (slice t) = + admit () // TODO + +// [core::slice::index::Range::get_unchecked]: forward function +let core_slice_index_RangeUsize_get_unchecked + (t : Type0) : + core_ops_range_Range usize → const_raw_ptr (slice t) → result (const_raw_ptr (slice t)) = + // Don't know what the model should be - for now we always fail to make + // sure code which uses it fails + fun _ _ -> Fail Failure + +// [core::slice::index::Range::get_unchecked_mut]: forward function +let core_slice_index_RangeUsize_get_unchecked_mut + (t : Type0) : + core_ops_range_Range usize → mut_raw_ptr (slice t) → result (mut_raw_ptr (slice t)) = + // Don't know what the model should be - for now we always fail to make + // sure code which uses it fails + fun _ _ -> Fail Failure + +// [core::slice::index::Range::index]: forward function +let core_slice_index_RangeUsize_index + (t : Type0) : core_ops_range_Range usize → slice t → result (slice t) = + admit () // TODO + +// [core::slice::index::Range::index_mut]: forward function +let core_slice_index_RangeUsize_index_mut + (t : Type0) : core_ops_range_Range usize → slice t → result (slice t) = + admit () // TODO + +// [core::slice::index::Range::index_mut]: backward function 0 +let core_slice_index_RangeUsize_index_mut_back + (t : Type0) : core_ops_range_Range usize → slice t → slice t → result (slice t) = + admit () // TODO + +// [core::slice::index::[T]::index_mut]: forward function +let core_slice_index_Slice_index_mut + (t idx : Type0) (inst : core_slice_index_SliceIndex idx (slice t)) : + slice t → idx → result inst.output = + admit () // + +// [core::slice::index::[T]::index_mut]: backward function 0 +let core_slice_index_Slice_index_mut_back + (t idx : Type0) (inst : core_slice_index_SliceIndex idx (slice t)) : + slice t → idx → inst.output → result (slice t) = + admit () // TODO + +// [core::array::[T; N]::index]: forward function +let core_array_Array_index + (t idx : Type0) (n : usize) (inst : core_ops_index_Index (slice t) idx) + (a : array t n) (i : idx) : result inst.output = + admit () // TODO + +// [core::array::[T; N]::index_mut]: forward function +let core_array_Array_index_mut + (t idx : Type0) (n : usize) (inst : core_ops_index_IndexMut (slice t) idx) + (a : array t n) (i : idx) : result inst.indexInst.output = + admit () // TODO + +// [core::array::[T; N]::index_mut]: backward function 0 +let core_array_Array_index_mut_back + (t idx : Type0) (n : usize) (inst : core_ops_index_IndexMut (slice t) idx) + (a : array t n) (i : idx) (x : inst.indexInst.output) : result (array t n) = + admit () // TODO + +// Trait implementation: [core::slice::index::private_slice_index::Range] +let core_slice_index_private_slice_index_SealedRangeUsizeInst + : core_slice_index_private_slice_index_Sealed (core_ops_range_Range usize) = () + +// Trait implementation: [core::slice::index::Range] +let core_slice_index_SliceIndexRangeUsizeSliceTInst (t : Type0) : + core_slice_index_SliceIndex (core_ops_range_Range usize) (slice t) = { + sealedInst = core_slice_index_private_slice_index_SealedRangeUsizeInst; + output = slice t; + get = core_slice_index_RangeUsize_get t; + get_mut = core_slice_index_RangeUsize_get_mut t; + get_mut_back = core_slice_index_RangeUsize_get_mut_back t; + get_unchecked = core_slice_index_RangeUsize_get_unchecked t; + get_unchecked_mut = core_slice_index_RangeUsize_get_unchecked_mut t; + index = core_slice_index_RangeUsize_index t; + index_mut = core_slice_index_RangeUsize_index_mut t; + index_mut_back = core_slice_index_RangeUsize_index_mut_back t; +} + +// Trait implementation: [core::slice::index::[T]] +let core_ops_index_IndexSliceTIInst (t idx : Type0) + (inst : core_slice_index_SliceIndex idx (slice t)) : + core_ops_index_Index (slice t) idx = { + output = inst.output; + index = core_slice_index_Slice_index t idx inst; +} + +// Trait implementation: [core::slice::index::[T]] +let core_ops_index_IndexMutSliceTIInst (t idx : Type0) + (inst : core_slice_index_SliceIndex idx (slice t)) : + core_ops_index_IndexMut (slice t) idx = { + indexInst = core_ops_index_IndexSliceTIInst t idx inst; + index_mut = core_slice_index_Slice_index_mut t idx inst; + index_mut_back = core_slice_index_Slice_index_mut_back t idx inst; +} + +// Trait implementation: [core::array::[T; N]] +let core_ops_index_IndexArrayInst (t idx : Type0) (n : usize) + (inst : core_ops_index_Index (slice t) idx) : + core_ops_index_Index (array t n) idx = { + output = inst.output; + index = core_array_Array_index t idx n inst; +} + +// Trait implementation: [core::array::[T; N]] +let core_ops_index_IndexMutArrayIInst (t idx : Type0) (n : usize) + (inst : core_ops_index_IndexMut (slice t) idx) : + core_ops_index_IndexMut (array t n) idx = { + indexInst = core_ops_index_IndexArrayInst t idx n inst.indexInst; + index_mut = core_array_Array_index_mut t idx n inst; + index_mut_back = core_array_Array_index_mut_back t idx n inst; +} + +// [core::slice::index::usize::get]: forward function +let core_slice_index_usize_get + (t : Type0) : usize → slice t → result (option t) = + admit () // TODO + +// [core::slice::index::usize::get_mut]: forward function +let core_slice_index_usize_get_mut + (t : Type0) : usize → slice t → result (option t) = + admit () // TODO + +// [core::slice::index::usize::get_mut]: backward function 0 +let core_slice_index_usize_get_mut_back + (t : Type0) : usize → slice t → option t → result (slice t) = + admit () // TODO + +// [core::slice::index::usize::get_unchecked]: forward function +let core_slice_index_usize_get_unchecked + (t : Type0) : usize → const_raw_ptr (slice t) → result (const_raw_ptr t) = + admit () // TODO + +// [core::slice::index::usize::get_unchecked_mut]: forward function +let core_slice_index_usize_get_unchecked_mut + (t : Type0) : usize → mut_raw_ptr (slice t) → result (mut_raw_ptr t) = + admit () // TODO + +// [core::slice::index::usize::index]: forward function +let core_slice_index_usize_index (t : Type0) : usize → slice t → result t = + admit () // TODO + +// [core::slice::index::usize::index_mut]: forward function +let core_slice_index_usize_index_mut (t : Type0) : usize → slice t → result t = + admit () // TODO + +// [core::slice::index::usize::index_mut]: backward function 0 +let core_slice_index_usize_index_mut_back + (t : Type0) : usize → slice t → t → result (slice t) = + admit () // TODO + +// Trait implementation: [core::slice::index::private_slice_index::usize] +let core_slice_index_private_slice_index_SealedUsizeInst + : core_slice_index_private_slice_index_Sealed usize = () + +// Trait implementation: [core::slice::index::usize] +let core_slice_index_SliceIndexUsizeSliceTInst (t : Type0) : + core_slice_index_SliceIndex usize (slice t) = { + sealedInst = core_slice_index_private_slice_index_SealedUsizeInst; + output = t; + get = core_slice_index_usize_get t; + get_mut = core_slice_index_usize_get_mut t; + get_mut_back = core_slice_index_usize_get_mut_back t; + get_unchecked = core_slice_index_usize_get_unchecked t; + get_unchecked_mut = core_slice_index_usize_get_unchecked_mut t; + index = core_slice_index_usize_index t; + index_mut = core_slice_index_usize_index_mut t; + index_mut_back = core_slice_index_usize_index_mut_back t; +} + +// [alloc::vec::Vec::index]: forward function +let alloc_vec_Vec_index (t idx : Type0) (inst : core_slice_index_SliceIndex idx (slice t)) + (self : alloc_vec_Vec t) (i : idx) : result inst.output = + admit () // TODO + +// [alloc::vec::Vec::index_mut]: forward function +let alloc_vec_Vec_index_mut (t idx : Type0) (inst : core_slice_index_SliceIndex idx (slice t)) + (self : alloc_vec_Vec t) (i : idx) : result inst.output = + admit () // TODO + +// [alloc::vec::Vec::index_mut]: backward function 0 +let alloc_vec_Vec_index_mut_back + (t idx : Type0) (inst : core_slice_index_SliceIndex idx (slice t)) + (self : alloc_vec_Vec t) (i : idx) (x : inst.output) : result (alloc_vec_Vec t) = + admit () // TODO + +// Trait implementation: [alloc::vec::Vec] +let alloc_vec_Vec_coreopsindexIndexInst (t idx : Type0) + (inst : core_slice_index_SliceIndex idx (slice t)) : + core_ops_index_Index (alloc_vec_Vec t) idx = { + output = inst.output; + index = alloc_vec_Vec_index t idx inst; +} + +// Trait implementation: [alloc::vec::Vec] +let alloc_vec_Vec_coreopsindexIndexMutInst (t idx : Type0) + (inst : core_slice_index_SliceIndex idx (slice t)) : + core_ops_index_IndexMut (alloc_vec_Vec t) idx = { + indexInst = alloc_vec_Vec_coreopsindexIndexInst t idx inst; + index_mut = alloc_vec_Vec_index_mut t idx inst; + index_mut_back = alloc_vec_Vec_index_mut_back t idx inst; +} + +(*** Theorems *) + +let alloc_vec_Vec_index_eq (#a : Type0) (v : alloc_vec_Vec a) (i : usize) : + Lemma ( + alloc_vec_Vec_index a usize (core_slice_index_SliceIndexUsizeSliceTInst a) v i == + alloc_vec_Vec_index_usize v i) + [SMTPat (alloc_vec_Vec_index a usize (core_slice_index_SliceIndexUsizeSliceTInst a) v i)] + = + admit() + +let alloc_vec_Vec_index_mut_eq (#a : Type0) (v : alloc_vec_Vec a) (i : usize) : + Lemma ( + alloc_vec_Vec_index_mut a usize (core_slice_index_SliceIndexUsizeSliceTInst a) v i == + alloc_vec_Vec_index_usize v i) + [SMTPat (alloc_vec_Vec_index_mut a usize (core_slice_index_SliceIndexUsizeSliceTInst a) v i)] + = + admit() + +let alloc_vec_Vec_index_mut_back_eq (#a : Type0) (v : alloc_vec_Vec a) (i : usize) (x : a) : + Lemma ( + alloc_vec_Vec_index_mut_back a usize (core_slice_index_SliceIndexUsizeSliceTInst a) v i x == + alloc_vec_Vec_update_usize v i x) + [SMTPat (alloc_vec_Vec_index_mut_back a usize (core_slice_index_SliceIndexUsizeSliceTInst a) v i x)] + = + admit() diff --git a/tests/fstar-split/hashmap_on_disk/HashmapMain.Clauses.Template.fst b/tests/fstar-split/hashmap_on_disk/HashmapMain.Clauses.Template.fst new file mode 100644 index 00000000..7b274f59 --- /dev/null +++ b/tests/fstar-split/hashmap_on_disk/HashmapMain.Clauses.Template.fst @@ -0,0 +1,72 @@ +(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *) +(** [hashmap_main]: templates for the decreases clauses *) +module HashmapMain.Clauses.Template +open Primitives +open HashmapMain.Types + +#set-options "--z3rlimit 50 --fuel 1 --ifuel 1" + +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::allocate_slots]: decreases clause + Source: 'src/hashmap.rs', lines 50:4-56:5 *) +unfold +let hashmap_HashMap_allocate_slots_loop_decreases (t : Type0) + (slots : alloc_vec_Vec (hashmap_List_t t)) (n : usize) : nat = + admit () + +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::clear]: decreases clause + Source: 'src/hashmap.rs', lines 80:4-88:5 *) +unfold +let hashmap_HashMap_clear_loop_decreases (t : Type0) + (slots : alloc_vec_Vec (hashmap_List_t t)) (i : usize) : nat = + admit () + +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::insert_in_list]: decreases clause + Source: 'src/hashmap.rs', lines 97:4-114:5 *) +unfold +let hashmap_HashMap_insert_in_list_loop_decreases (t : Type0) (key : usize) + (value : t) (ls : hashmap_List_t t) : nat = + admit () + +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::move_elements_from_list]: decreases clause + Source: 'src/hashmap.rs', lines 183:4-196:5 *) +unfold +let hashmap_HashMap_move_elements_from_list_loop_decreases (t : Type0) + (ntable : hashmap_HashMap_t t) (ls : hashmap_List_t t) : nat = + admit () + +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::move_elements]: decreases clause + Source: 'src/hashmap.rs', lines 171:4-180:5 *) +unfold +let hashmap_HashMap_move_elements_loop_decreases (t : Type0) + (ntable : hashmap_HashMap_t t) (slots : alloc_vec_Vec (hashmap_List_t t)) + (i : usize) : nat = + admit () + +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::contains_key_in_list]: decreases clause + Source: 'src/hashmap.rs', lines 206:4-219:5 *) +unfold +let hashmap_HashMap_contains_key_in_list_loop_decreases (t : Type0) + (key : usize) (ls : hashmap_List_t t) : nat = + admit () + +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::get_in_list]: decreases clause + Source: 'src/hashmap.rs', lines 224:4-237:5 *) +unfold +let hashmap_HashMap_get_in_list_loop_decreases (t : Type0) (key : usize) + (ls : hashmap_List_t t) : nat = + admit () + +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::get_mut_in_list]: decreases clause + Source: 'src/hashmap.rs', lines 245:4-254:5 *) +unfold +let hashmap_HashMap_get_mut_in_list_loop_decreases (t : Type0) + (ls : hashmap_List_t t) (key : usize) : nat = + admit () + +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::remove_from_list]: decreases clause + Source: 'src/hashmap.rs', lines 265:4-291:5 *) +unfold +let hashmap_HashMap_remove_from_list_loop_decreases (t : Type0) (key : usize) + (ls : hashmap_List_t t) : nat = + admit () + diff --git a/tests/fstar-split/hashmap_on_disk/HashmapMain.Clauses.fst b/tests/fstar-split/hashmap_on_disk/HashmapMain.Clauses.fst new file mode 100644 index 00000000..be5a4ab1 --- /dev/null +++ b/tests/fstar-split/hashmap_on_disk/HashmapMain.Clauses.fst @@ -0,0 +1,61 @@ +(** [hashmap]: the decreases clauses *) +module HashmapMain.Clauses +open Primitives +open FStar.List.Tot +open HashmapMain.Types + +#set-options "--z3rlimit 50 --fuel 0 --ifuel 1" + +(** [hashmap::HashMap::allocate_slots]: decreases clause *) +unfold +let hashmap_HashMap_allocate_slots_loop_decreases (t : Type0) (slots : alloc_vec_Vec (hashmap_List_t t)) + (n : usize) : nat = n + +(** [hashmap::HashMap::clear]: decreases clause *) +unfold +let hashmap_HashMap_clear_loop_decreases (t : Type0) (slots : alloc_vec_Vec (hashmap_List_t t)) + (i : usize) : nat = + if i < length slots then length slots - i else 0 + +(** [hashmap::HashMap::insert_in_list]: decreases clause *) +unfold +let hashmap_HashMap_insert_in_list_loop_decreases (t : Type0) (key : usize) (value : t) + (ls : hashmap_List_t t) : hashmap_List_t t = + ls + +(** [hashmap::HashMap::move_elements_from_list]: decreases clause *) +unfold +let hashmap_HashMap_move_elements_from_list_loop_decreases (t : Type0) + (ntable : hashmap_HashMap_t t) (ls : hashmap_List_t t) : hashmap_List_t t = + ls + +(** [hashmap::HashMap::move_elements]: decreases clause *) +unfold +let hashmap_HashMap_move_elements_loop_decreases (t : Type0) (ntable : hashmap_HashMap_t t) + (slots : alloc_vec_Vec (hashmap_List_t t)) (i : usize) : nat = + if i < length slots then length slots - i else 0 + +(** [hashmap::HashMap::contains_key_in_list]: decreases clause *) +unfold +let hashmap_HashMap_contains_key_in_list_loop_decreases (t : Type0) (key : usize) + (ls : hashmap_List_t t) : hashmap_List_t t = + ls + +(** [hashmap::HashMap::get_in_list]: decreases clause *) +unfold +let hashmap_HashMap_get_in_list_loop_decreases (t : Type0) (key : usize) (ls : hashmap_List_t t) : + hashmap_List_t t = + ls + +(** [hashmap::HashMap::get_mut_in_list]: decreases clause *) +unfold +let hashmap_HashMap_get_mut_in_list_loop_decreases (t : Type0) + (ls : hashmap_List_t t) (key : usize) : hashmap_List_t t = + ls + +(** [hashmap::HashMap::remove_from_list]: decreases clause *) +unfold +let hashmap_HashMap_remove_from_list_loop_decreases (t : Type0) (key : usize) + (ls : hashmap_List_t t) : hashmap_List_t t = + ls + diff --git a/tests/fstar-split/hashmap_on_disk/HashmapMain.Funs.fst b/tests/fstar-split/hashmap_on_disk/HashmapMain.Funs.fst new file mode 100644 index 00000000..2e2d54b8 --- /dev/null +++ b/tests/fstar-split/hashmap_on_disk/HashmapMain.Funs.fst @@ -0,0 +1,576 @@ +(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *) +(** [hashmap_main]: function definitions *) +module HashmapMain.Funs +open Primitives +include HashmapMain.Types +include HashmapMain.FunsExternal +include HashmapMain.Clauses + +#set-options "--z3rlimit 50 --fuel 1 --ifuel 1" + +(** [hashmap_main::hashmap::hash_key]: forward function + Source: 'src/hashmap.rs', lines 27:0-27:32 *) +let hashmap_hash_key (k : usize) : result usize = + Return k + +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::allocate_slots]: loop 0: forward function + Source: 'src/hashmap.rs', lines 50:4-56:5 *) +let rec hashmap_HashMap_allocate_slots_loop + (t : Type0) (slots : alloc_vec_Vec (hashmap_List_t t)) (n : usize) : + Tot (result (alloc_vec_Vec (hashmap_List_t t))) + (decreases (hashmap_HashMap_allocate_slots_loop_decreases t slots n)) + = + if n > 0 + then + let* slots1 = alloc_vec_Vec_push (hashmap_List_t t) slots Hashmap_List_Nil + in + let* n1 = usize_sub n 1 in + hashmap_HashMap_allocate_slots_loop t slots1 n1 + else Return slots + +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::allocate_slots]: forward function + Source: 'src/hashmap.rs', lines 50:4-50:76 *) +let hashmap_HashMap_allocate_slots + (t : Type0) (slots : alloc_vec_Vec (hashmap_List_t t)) (n : usize) : + result (alloc_vec_Vec (hashmap_List_t t)) + = + hashmap_HashMap_allocate_slots_loop t slots n + +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::new_with_capacity]: forward function + Source: 'src/hashmap.rs', lines 59:4-63:13 *) +let hashmap_HashMap_new_with_capacity + (t : Type0) (capacity : usize) (max_load_dividend : usize) + (max_load_divisor : usize) : + result (hashmap_HashMap_t t) + = + let* slots = + hashmap_HashMap_allocate_slots t (alloc_vec_Vec_new (hashmap_List_t t)) + capacity in + let* i = usize_mul capacity max_load_dividend in + let* i1 = usize_div i max_load_divisor in + Return + { + num_entries = 0; + max_load_factor = (max_load_dividend, max_load_divisor); + max_load = i1; + slots = slots + } + +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::new]: forward function + Source: 'src/hashmap.rs', lines 75:4-75:24 *) +let hashmap_HashMap_new (t : Type0) : result (hashmap_HashMap_t t) = + hashmap_HashMap_new_with_capacity t 32 4 5 + +(** [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 ()) + Source: 'src/hashmap.rs', lines 80:4-88:5 *) +let rec hashmap_HashMap_clear_loop + (t : Type0) (slots : alloc_vec_Vec (hashmap_List_t t)) (i : usize) : + Tot (result (alloc_vec_Vec (hashmap_List_t t))) + (decreases (hashmap_HashMap_clear_loop_decreases t slots i)) + = + let i1 = alloc_vec_Vec_len (hashmap_List_t t) slots in + if i < i1 + then + let* i2 = usize_add i 1 in + let* slots1 = + alloc_vec_Vec_index_mut_back (hashmap_List_t t) usize + (core_slice_index_SliceIndexUsizeSliceTInst (hashmap_List_t t)) slots i + Hashmap_List_Nil in + hashmap_HashMap_clear_loop t slots1 i2 + else Return slots + +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::clear]: merged forward/backward function + (there is a single backward function, and the forward function returns ()) + Source: 'src/hashmap.rs', lines 80:4-80:27 *) +let hashmap_HashMap_clear + (t : Type0) (self : hashmap_HashMap_t t) : result (hashmap_HashMap_t t) = + let* v = hashmap_HashMap_clear_loop t self.slots 0 in + Return { self with num_entries = 0; slots = v } + +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::len]: forward function + Source: 'src/hashmap.rs', lines 90:4-90:30 *) +let hashmap_HashMap_len + (t : Type0) (self : hashmap_HashMap_t t) : result usize = + Return self.num_entries + +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::insert_in_list]: loop 0: forward function + Source: 'src/hashmap.rs', lines 97:4-114:5 *) +let rec hashmap_HashMap_insert_in_list_loop + (t : Type0) (key : usize) (value : t) (ls : hashmap_List_t t) : + Tot (result bool) + (decreases (hashmap_HashMap_insert_in_list_loop_decreases t key value ls)) + = + begin match ls with + | Hashmap_List_Cons ckey _ tl -> + if ckey = key + then Return false + else hashmap_HashMap_insert_in_list_loop t key value tl + | Hashmap_List_Nil -> Return true + end + +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::insert_in_list]: forward function + Source: 'src/hashmap.rs', lines 97:4-97:71 *) +let hashmap_HashMap_insert_in_list + (t : Type0) (key : usize) (value : t) (ls : hashmap_List_t t) : result bool = + hashmap_HashMap_insert_in_list_loop t 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 *) +let rec hashmap_HashMap_insert_in_list_loop_back + (t : Type0) (key : usize) (value : t) (ls : hashmap_List_t t) : + Tot (result (hashmap_List_t t)) + (decreases (hashmap_HashMap_insert_in_list_loop_decreases t key value ls)) + = + begin match ls with + | Hashmap_List_Cons ckey cvalue tl -> + if ckey = key + then Return (Hashmap_List_Cons ckey value tl) + else + let* tl1 = hashmap_HashMap_insert_in_list_loop_back t key value tl in + Return (Hashmap_List_Cons ckey cvalue tl1) + | Hashmap_List_Nil -> Return (Hashmap_List_Cons key value Hashmap_List_Nil) + end + +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::insert_in_list]: backward function 0 + Source: 'src/hashmap.rs', lines 97:4-97:71 *) +let hashmap_HashMap_insert_in_list_back + (t : Type0) (key : usize) (value : t) (ls : hashmap_List_t t) : + result (hashmap_List_t t) + = + hashmap_HashMap_insert_in_list_loop_back t 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 ()) + Source: 'src/hashmap.rs', lines 117:4-117:54 *) +let hashmap_HashMap_insert_no_resize + (t : Type0) (self : hashmap_HashMap_t t) (key : usize) (value : t) : + result (hashmap_HashMap_t t) + = + let* hash = hashmap_hash_key key in + let i = alloc_vec_Vec_len (hashmap_List_t t) self.slots in + let* hash_mod = usize_rem hash i in + let* l = + alloc_vec_Vec_index_mut (hashmap_List_t t) usize + (core_slice_index_SliceIndexUsizeSliceTInst (hashmap_List_t t)) + self.slots hash_mod in + let* inserted = hashmap_HashMap_insert_in_list t key value l in + if inserted + then + let* i1 = usize_add self.num_entries 1 in + let* l1 = hashmap_HashMap_insert_in_list_back t key value l in + let* v = + alloc_vec_Vec_index_mut_back (hashmap_List_t t) usize + (core_slice_index_SliceIndexUsizeSliceTInst (hashmap_List_t t)) + self.slots hash_mod l1 in + Return { self with num_entries = i1; slots = v } + else + let* l1 = hashmap_HashMap_insert_in_list_back t key value l in + let* v = + alloc_vec_Vec_index_mut_back (hashmap_List_t t) usize + (core_slice_index_SliceIndexUsizeSliceTInst (hashmap_List_t t)) + self.slots hash_mod l1 in + Return { self with slots = v } + +(** [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 ()) + Source: 'src/hashmap.rs', lines 183:4-196:5 *) +let rec hashmap_HashMap_move_elements_from_list_loop + (t : Type0) (ntable : hashmap_HashMap_t t) (ls : hashmap_List_t t) : + Tot (result (hashmap_HashMap_t t)) + (decreases ( + hashmap_HashMap_move_elements_from_list_loop_decreases t ntable ls)) + = + begin match ls with + | Hashmap_List_Cons k v tl -> + let* ntable1 = hashmap_HashMap_insert_no_resize t ntable k v in + hashmap_HashMap_move_elements_from_list_loop t ntable1 tl + | Hashmap_List_Nil -> Return ntable + 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 ()) + Source: 'src/hashmap.rs', lines 183:4-183:72 *) +let hashmap_HashMap_move_elements_from_list + (t : Type0) (ntable : hashmap_HashMap_t t) (ls : hashmap_List_t t) : + result (hashmap_HashMap_t t) + = + hashmap_HashMap_move_elements_from_list_loop t 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 ()) + Source: 'src/hashmap.rs', lines 171:4-180:5 *) +let rec hashmap_HashMap_move_elements_loop + (t : Type0) (ntable : hashmap_HashMap_t t) + (slots : alloc_vec_Vec (hashmap_List_t t)) (i : usize) : + Tot (result ((hashmap_HashMap_t t) & (alloc_vec_Vec (hashmap_List_t t)))) + (decreases (hashmap_HashMap_move_elements_loop_decreases t ntable slots i)) + = + let i1 = alloc_vec_Vec_len (hashmap_List_t t) slots in + if i < i1 + then + let* l = + alloc_vec_Vec_index_mut (hashmap_List_t t) usize + (core_slice_index_SliceIndexUsizeSliceTInst (hashmap_List_t t)) slots i + in + let ls = core_mem_replace (hashmap_List_t t) l Hashmap_List_Nil in + let* ntable1 = hashmap_HashMap_move_elements_from_list t ntable ls in + let* i2 = usize_add i 1 in + let l1 = core_mem_replace_back (hashmap_List_t t) l Hashmap_List_Nil in + let* slots1 = + alloc_vec_Vec_index_mut_back (hashmap_List_t t) usize + (core_slice_index_SliceIndexUsizeSliceTInst (hashmap_List_t t)) slots i + l1 in + hashmap_HashMap_move_elements_loop t ntable1 slots1 i2 + else Return (ntable, slots) + +(** [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 ()) + Source: 'src/hashmap.rs', lines 171:4-171:95 *) +let hashmap_HashMap_move_elements + (t : Type0) (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 ntable slots i + +(** [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 ()) + Source: 'src/hashmap.rs', lines 140:4-140:28 *) +let hashmap_HashMap_try_resize + (t : Type0) (self : hashmap_HashMap_t t) : result (hashmap_HashMap_t t) = + let* max_usize = scalar_cast U32 Usize core_u32_max in + let capacity = alloc_vec_Vec_len (hashmap_List_t t) self.slots in + let* n1 = usize_div max_usize 2 in + let (i, i1) = self.max_load_factor in + let* i2 = usize_div n1 i in + if capacity <= i2 + then + let* i3 = usize_mul capacity 2 in + let* ntable = hashmap_HashMap_new_with_capacity t i3 i i1 in + let* (ntable1, _) = hashmap_HashMap_move_elements t ntable self.slots 0 in + Return + { ntable1 with num_entries = self.num_entries; max_load_factor = (i, i1) + } + else Return { self with max_load_factor = (i, i1) } + +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::insert]: merged forward/backward function + (there is a single backward function, and the forward function returns ()) + Source: 'src/hashmap.rs', lines 129:4-129:48 *) +let hashmap_HashMap_insert + (t : Type0) (self : hashmap_HashMap_t t) (key : usize) (value : t) : + result (hashmap_HashMap_t t) + = + let* self1 = hashmap_HashMap_insert_no_resize t self key value in + let* i = hashmap_HashMap_len t self1 in + if i > self1.max_load + then hashmap_HashMap_try_resize t self1 + else Return self1 + +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::contains_key_in_list]: loop 0: forward function + Source: 'src/hashmap.rs', lines 206:4-219:5 *) +let rec hashmap_HashMap_contains_key_in_list_loop + (t : Type0) (key : usize) (ls : hashmap_List_t t) : + Tot (result bool) + (decreases (hashmap_HashMap_contains_key_in_list_loop_decreases t key ls)) + = + begin match ls with + | Hashmap_List_Cons ckey _ tl -> + if ckey = key + then Return true + else hashmap_HashMap_contains_key_in_list_loop t key tl + | Hashmap_List_Nil -> Return false + end + +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::contains_key_in_list]: forward function + Source: 'src/hashmap.rs', lines 206:4-206:68 *) +let hashmap_HashMap_contains_key_in_list + (t : Type0) (key : usize) (ls : hashmap_List_t t) : result bool = + hashmap_HashMap_contains_key_in_list_loop t key ls + +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::contains_key]: forward function + Source: 'src/hashmap.rs', lines 199:4-199:49 *) +let hashmap_HashMap_contains_key + (t : Type0) (self : hashmap_HashMap_t t) (key : usize) : result bool = + let* hash = hashmap_hash_key key in + let i = alloc_vec_Vec_len (hashmap_List_t t) self.slots in + let* hash_mod = usize_rem hash i in + let* l = + alloc_vec_Vec_index (hashmap_List_t t) usize + (core_slice_index_SliceIndexUsizeSliceTInst (hashmap_List_t t)) + self.slots hash_mod in + hashmap_HashMap_contains_key_in_list t key l + +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::get_in_list]: loop 0: forward function + Source: 'src/hashmap.rs', lines 224:4-237:5 *) +let rec hashmap_HashMap_get_in_list_loop + (t : Type0) (key : usize) (ls : hashmap_List_t t) : + Tot (result t) + (decreases (hashmap_HashMap_get_in_list_loop_decreases t key ls)) + = + begin match ls with + | Hashmap_List_Cons ckey cvalue tl -> + if ckey = key + then Return cvalue + else hashmap_HashMap_get_in_list_loop t key tl + | Hashmap_List_Nil -> Fail Failure + end + +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::get_in_list]: forward function + Source: 'src/hashmap.rs', lines 224:4-224:70 *) +let hashmap_HashMap_get_in_list + (t : Type0) (key : usize) (ls : hashmap_List_t t) : result t = + hashmap_HashMap_get_in_list_loop t key ls + +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::get]: forward function + Source: 'src/hashmap.rs', lines 239:4-239:55 *) +let hashmap_HashMap_get + (t : Type0) (self : hashmap_HashMap_t t) (key : usize) : result t = + let* hash = hashmap_hash_key key in + let i = alloc_vec_Vec_len (hashmap_List_t t) self.slots in + let* hash_mod = usize_rem hash i in + let* l = + alloc_vec_Vec_index (hashmap_List_t t) usize + (core_slice_index_SliceIndexUsizeSliceTInst (hashmap_List_t t)) + self.slots hash_mod in + hashmap_HashMap_get_in_list t key l + +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::get_mut_in_list]: loop 0: forward function + Source: 'src/hashmap.rs', lines 245:4-254:5 *) +let rec hashmap_HashMap_get_mut_in_list_loop + (t : Type0) (ls : hashmap_List_t t) (key : usize) : + Tot (result t) + (decreases (hashmap_HashMap_get_mut_in_list_loop_decreases t ls key)) + = + begin match ls with + | Hashmap_List_Cons ckey cvalue tl -> + if ckey = key + then Return cvalue + else hashmap_HashMap_get_mut_in_list_loop t tl key + | Hashmap_List_Nil -> Fail Failure + end + +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::get_mut_in_list]: forward function + Source: 'src/hashmap.rs', lines 245:4-245:86 *) +let hashmap_HashMap_get_mut_in_list + (t : Type0) (ls : hashmap_List_t t) (key : usize) : result t = + hashmap_HashMap_get_mut_in_list_loop t 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 *) +let rec hashmap_HashMap_get_mut_in_list_loop_back + (t : Type0) (ls : hashmap_List_t t) (key : usize) (ret : t) : + Tot (result (hashmap_List_t t)) + (decreases (hashmap_HashMap_get_mut_in_list_loop_decreases t ls key)) + = + begin match ls with + | Hashmap_List_Cons ckey cvalue tl -> + if ckey = key + then Return (Hashmap_List_Cons ckey ret tl) + else + let* tl1 = hashmap_HashMap_get_mut_in_list_loop_back t tl key ret in + Return (Hashmap_List_Cons ckey cvalue tl1) + | Hashmap_List_Nil -> Fail Failure + end + +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::get_mut_in_list]: backward function 0 + Source: 'src/hashmap.rs', lines 245:4-245:86 *) +let hashmap_HashMap_get_mut_in_list_back + (t : Type0) (ls : hashmap_List_t t) (key : usize) (ret : t) : + result (hashmap_List_t t) + = + hashmap_HashMap_get_mut_in_list_loop_back t ls key ret + +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::get_mut]: forward function + Source: 'src/hashmap.rs', lines 257:4-257:67 *) +let hashmap_HashMap_get_mut + (t : Type0) (self : hashmap_HashMap_t t) (key : usize) : result t = + let* hash = hashmap_hash_key key in + let i = alloc_vec_Vec_len (hashmap_List_t t) self.slots in + let* hash_mod = usize_rem hash i in + let* l = + alloc_vec_Vec_index_mut (hashmap_List_t t) usize + (core_slice_index_SliceIndexUsizeSliceTInst (hashmap_List_t t)) + self.slots hash_mod in + hashmap_HashMap_get_mut_in_list t l key + +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::get_mut]: backward function 0 + Source: 'src/hashmap.rs', lines 257:4-257:67 *) +let hashmap_HashMap_get_mut_back + (t : Type0) (self : hashmap_HashMap_t t) (key : usize) (ret : t) : + result (hashmap_HashMap_t t) + = + let* hash = hashmap_hash_key key in + let i = alloc_vec_Vec_len (hashmap_List_t t) self.slots in + let* hash_mod = usize_rem hash i in + let* l = + alloc_vec_Vec_index_mut (hashmap_List_t t) usize + (core_slice_index_SliceIndexUsizeSliceTInst (hashmap_List_t t)) + self.slots hash_mod in + let* l1 = hashmap_HashMap_get_mut_in_list_back t l key ret in + let* v = + alloc_vec_Vec_index_mut_back (hashmap_List_t t) usize + (core_slice_index_SliceIndexUsizeSliceTInst (hashmap_List_t t)) + self.slots hash_mod l1 in + Return { self with slots = v } + +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::remove_from_list]: loop 0: forward function + Source: 'src/hashmap.rs', lines 265:4-291:5 *) +let rec hashmap_HashMap_remove_from_list_loop + (t : Type0) (key : usize) (ls : hashmap_List_t t) : + Tot (result (option t)) + (decreases (hashmap_HashMap_remove_from_list_loop_decreases t key ls)) + = + begin match ls with + | Hashmap_List_Cons ckey x tl -> + if ckey = key + then + let mv_ls = + core_mem_replace (hashmap_List_t t) (Hashmap_List_Cons ckey x tl) + Hashmap_List_Nil in + begin match mv_ls with + | Hashmap_List_Cons _ cvalue _ -> Return (Some cvalue) + | Hashmap_List_Nil -> Fail Failure + end + else hashmap_HashMap_remove_from_list_loop t key tl + | Hashmap_List_Nil -> Return None + end + +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::remove_from_list]: forward function + Source: 'src/hashmap.rs', lines 265:4-265:69 *) +let hashmap_HashMap_remove_from_list + (t : Type0) (key : usize) (ls : hashmap_List_t t) : result (option t) = + hashmap_HashMap_remove_from_list_loop t 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 *) +let rec hashmap_HashMap_remove_from_list_loop_back + (t : Type0) (key : usize) (ls : hashmap_List_t t) : + Tot (result (hashmap_List_t t)) + (decreases (hashmap_HashMap_remove_from_list_loop_decreases t key ls)) + = + begin match ls with + | Hashmap_List_Cons ckey x tl -> + if ckey = key + then + let mv_ls = + core_mem_replace (hashmap_List_t t) (Hashmap_List_Cons ckey x tl) + Hashmap_List_Nil in + begin match mv_ls with + | Hashmap_List_Cons _ _ tl1 -> Return tl1 + | Hashmap_List_Nil -> Fail Failure + end + else + let* tl1 = hashmap_HashMap_remove_from_list_loop_back t key tl in + Return (Hashmap_List_Cons ckey x tl1) + | Hashmap_List_Nil -> Return Hashmap_List_Nil + end + +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::remove_from_list]: backward function 1 + Source: 'src/hashmap.rs', lines 265:4-265:69 *) +let hashmap_HashMap_remove_from_list_back + (t : Type0) (key : usize) (ls : hashmap_List_t t) : + result (hashmap_List_t t) + = + hashmap_HashMap_remove_from_list_loop_back t key ls + +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::remove]: forward function + Source: 'src/hashmap.rs', lines 294:4-294:52 *) +let hashmap_HashMap_remove + (t : Type0) (self : hashmap_HashMap_t t) (key : usize) : result (option t) = + let* hash = hashmap_hash_key key in + let i = alloc_vec_Vec_len (hashmap_List_t t) self.slots in + let* hash_mod = usize_rem hash i in + let* l = + alloc_vec_Vec_index_mut (hashmap_List_t t) usize + (core_slice_index_SliceIndexUsizeSliceTInst (hashmap_List_t t)) + self.slots hash_mod in + let* x = hashmap_HashMap_remove_from_list t key l in + begin match x with + | None -> Return None + | Some x1 -> let* _ = usize_sub self.num_entries 1 in Return (Some x1) + end + +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::remove]: backward function 0 + Source: 'src/hashmap.rs', lines 294:4-294:52 *) +let hashmap_HashMap_remove_back + (t : Type0) (self : hashmap_HashMap_t t) (key : usize) : + result (hashmap_HashMap_t t) + = + let* hash = hashmap_hash_key key in + let i = alloc_vec_Vec_len (hashmap_List_t t) self.slots in + let* hash_mod = usize_rem hash i in + let* l = + alloc_vec_Vec_index_mut (hashmap_List_t t) usize + (core_slice_index_SliceIndexUsizeSliceTInst (hashmap_List_t t)) + self.slots hash_mod in + let* x = hashmap_HashMap_remove_from_list t key l in + begin match x with + | None -> + let* l1 = hashmap_HashMap_remove_from_list_back t key l in + let* v = + alloc_vec_Vec_index_mut_back (hashmap_List_t t) usize + (core_slice_index_SliceIndexUsizeSliceTInst (hashmap_List_t t)) + self.slots hash_mod l1 in + Return { self with slots = v } + | Some _ -> + let* i1 = usize_sub self.num_entries 1 in + let* l1 = hashmap_HashMap_remove_from_list_back t key l in + let* v = + alloc_vec_Vec_index_mut_back (hashmap_List_t t) usize + (core_slice_index_SliceIndexUsizeSliceTInst (hashmap_List_t t)) + self.slots hash_mod l1 in + Return { self with num_entries = i1; slots = v } + end + +(** [hashmap_main::hashmap::test1]: forward function + Source: 'src/hashmap.rs', lines 315:0-315:10 *) +let hashmap_test1 : result unit = + let* hm = hashmap_HashMap_new u64 in + let* hm1 = hashmap_HashMap_insert u64 hm 0 42 in + let* hm2 = hashmap_HashMap_insert u64 hm1 128 18 in + let* hm3 = hashmap_HashMap_insert u64 hm2 1024 138 in + let* hm4 = hashmap_HashMap_insert u64 hm3 1056 256 in + let* i = hashmap_HashMap_get u64 hm4 128 in + if not (i = 18) + then Fail Failure + else + let* hm5 = hashmap_HashMap_get_mut_back u64 hm4 1024 56 in + let* i1 = hashmap_HashMap_get u64 hm5 1024 in + if not (i1 = 56) + then Fail Failure + else + let* x = hashmap_HashMap_remove u64 hm5 1024 in + begin match x with + | None -> Fail Failure + | Some x1 -> + if not (x1 = 56) + then Fail Failure + else + let* hm6 = hashmap_HashMap_remove_back u64 hm5 1024 in + let* i2 = hashmap_HashMap_get u64 hm6 0 in + if not (i2 = 42) + then Fail Failure + else + let* i3 = hashmap_HashMap_get u64 hm6 128 in + if not (i3 = 18) + then Fail Failure + else + let* i4 = hashmap_HashMap_get u64 hm6 1056 in + if not (i4 = 256) then Fail Failure else Return () + end + +(** [hashmap_main::insert_on_disk]: forward function + Source: 'src/hashmap_main.rs', lines 7:0-7:43 *) +let insert_on_disk + (key : usize) (value : u64) (st : state) : result (state & unit) = + let* (st1, hm) = hashmap_utils_deserialize st in + let* hm1 = hashmap_HashMap_insert u64 hm key value in + let* (st2, _) = hashmap_utils_serialize hm1 st1 in + Return (st2, ()) + +(** [hashmap_main::main]: forward function + Source: 'src/hashmap_main.rs', lines 16:0-16:13 *) +let main : result unit = + Return () + diff --git a/tests/fstar-split/hashmap_on_disk/HashmapMain.FunsExternal.fsti b/tests/fstar-split/hashmap_on_disk/HashmapMain.FunsExternal.fsti new file mode 100644 index 00000000..b00bbcde --- /dev/null +++ b/tests/fstar-split/hashmap_on_disk/HashmapMain.FunsExternal.fsti @@ -0,0 +1,18 @@ +(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *) +(** [hashmap_main]: external function declarations *) +module HashmapMain.FunsExternal +open Primitives +include HashmapMain.Types + +#set-options "--z3rlimit 50 --fuel 1 --ifuel 1" + +(** [hashmap_main::hashmap_utils::deserialize]: forward function + Source: 'src/hashmap_utils.rs', lines 10:0-10:43 *) +val hashmap_utils_deserialize + : state -> result (state & (hashmap_HashMap_t u64)) + +(** [hashmap_main::hashmap_utils::serialize]: forward function + Source: 'src/hashmap_utils.rs', lines 5:0-5:42 *) +val hashmap_utils_serialize + : hashmap_HashMap_t u64 -> state -> result (state & unit) + diff --git a/tests/fstar-split/hashmap_on_disk/HashmapMain.Properties.fst b/tests/fstar-split/hashmap_on_disk/HashmapMain.Properties.fst new file mode 100644 index 00000000..358df29e --- /dev/null +++ b/tests/fstar-split/hashmap_on_disk/HashmapMain.Properties.fst @@ -0,0 +1,48 @@ +(** Properties about the hashmap written on disk *) +module HashmapMain.Properties +open Primitives +open HashmapMain.Funs + +#set-options "--z3rlimit 50 --fuel 0 --ifuel 1" + +/// Below, we focus on the functions to read from disk/write to disk to showcase +/// how such reasoning which mixes opaque functions together with a state-error +/// monad can be performed. + +(*** Hypotheses *) + +/// [state_v] gives us the hash map currently stored on disk +assume +val state_v : state -> hashmap_HashMap_t u64 + +/// [serialize] updates the hash map stored on disk +assume +val serialize_lem (hm : hashmap_HashMap_t u64) (st : state) : Lemma ( + match hashmap_utils_serialize hm st with + | Fail _ -> True + | Return (st', ()) -> state_v st' == hm) + [SMTPat (hashmap_utils_serialize hm st)] + +/// [deserialize] gives us the hash map stored on disk, without updating it +assume +val deserialize_lem (st : state) : Lemma ( + match hashmap_utils_deserialize st with + | Fail _ -> True + | Return (st', hm) -> hm == state_v st /\ st' == st) + [SMTPat (hashmap_utils_deserialize st)] + +(*** Lemmas *) + +/// The obvious lemma about [insert_on_disk]: the updated hash map stored on disk +/// is exactly the hash map produced from inserting the binding ([key], [value]) +/// in the hash map previously stored on disk. +val insert_on_disk_lem (key : usize) (value : u64) (st : state) : Lemma ( + match insert_on_disk key value st with + | Fail _ -> True + | Return (st', ()) -> + let hm = state_v st in + match hashmap_HashMap_insert u64 hm key value with + | Fail _ -> False + | Return hm' -> hm' == state_v st') + +let insert_on_disk_lem key value st = () diff --git a/tests/fstar-split/hashmap_on_disk/HashmapMain.Types.fst b/tests/fstar-split/hashmap_on_disk/HashmapMain.Types.fst new file mode 100644 index 00000000..afebcde3 --- /dev/null +++ b/tests/fstar-split/hashmap_on_disk/HashmapMain.Types.fst @@ -0,0 +1,24 @@ +(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *) +(** [hashmap_main]: type definitions *) +module HashmapMain.Types +open Primitives +include HashmapMain.TypesExternal + +#set-options "--z3rlimit 50 --fuel 1 --ifuel 1" + +(** [hashmap_main::hashmap::List] + Source: 'src/hashmap.rs', lines 19:0-19:16 *) +type hashmap_List_t (t : Type0) = +| Hashmap_List_Cons : usize -> t -> hashmap_List_t t -> hashmap_List_t t +| Hashmap_List_Nil : hashmap_List_t t + +(** [hashmap_main::hashmap::HashMap] + Source: 'src/hashmap.rs', lines 35:0-35:21 *) +type hashmap_HashMap_t (t : Type0) = +{ + num_entries : usize; + max_load_factor : (usize & usize); + max_load : usize; + slots : alloc_vec_Vec (hashmap_List_t t); +} + diff --git a/tests/fstar-split/hashmap_on_disk/HashmapMain.TypesExternal.fsti b/tests/fstar-split/hashmap_on_disk/HashmapMain.TypesExternal.fsti new file mode 100644 index 00000000..75747408 --- /dev/null +++ b/tests/fstar-split/hashmap_on_disk/HashmapMain.TypesExternal.fsti @@ -0,0 +1,10 @@ +(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *) +(** [hashmap_main]: external type declarations *) +module HashmapMain.TypesExternal +open Primitives + +#set-options "--z3rlimit 50 --fuel 1 --ifuel 1" + +(** The state type used in the state-error monad *) +val state : Type0 + diff --git a/tests/fstar-split/hashmap_on_disk/Makefile b/tests/fstar-split/hashmap_on_disk/Makefile new file mode 100644 index 00000000..fa7d1f36 --- /dev/null +++ b/tests/fstar-split/hashmap_on_disk/Makefile @@ -0,0 +1,49 @@ +# This file was automatically generated - modify ../Makefile.template instead +INCLUDE_DIRS = . + +FSTAR_INCLUDES = $(addprefix --include ,$(INCLUDE_DIRS)) + +FSTAR_HINTS ?= --use_hints --use_hint_hashes --record_hints + +FSTAR_OPTIONS = $(FSTAR_HINTS) \ + --cache_checked_modules $(FSTAR_INCLUDES) --cmi \ + --warn_error '+241@247+285-274' \ + +FSTAR_EXE ?= fstar.exe +FSTAR_NO_FLAGS = $(FSTAR_EXE) --already_cached 'Prims FStar LowStar Steel' --odir obj --cache_dir obj + +FSTAR = $(FSTAR_NO_FLAGS) $(FSTAR_OPTIONS) + +# The F* roots are used to compute the dependency graph, and generate the .depend file +FSTAR_ROOTS ?= $(wildcard *.fst *.fsti) + +# Build all the files +all: $(addprefix obj/,$(addsuffix .checked,$(FSTAR_ROOTS))) + +# This is the right way to ensure the .depend file always gets re-built. +ifeq (,$(filter %-in,$(MAKECMDGOALS))) +ifndef NODEPEND +ifndef MAKE_RESTARTS +.depend: .FORCE + $(FSTAR_NO_FLAGS) --dep full $(notdir $(FSTAR_ROOTS)) > $@ + +.PHONY: .FORCE +.FORCE: +endif +endif + +include .depend +endif + +# For the interactive mode +%.fst-in %.fsti-in: + @echo $(FSTAR_OPTIONS) + +# Generete the .checked files in batch mode +%.checked: + $(FSTAR) $(FSTAR_OPTIONS) $< && \ + touch -c $@ + +.PHONY: clean +clean: + rm -f obj/* diff --git a/tests/fstar-split/hashmap_on_disk/Primitives.fst b/tests/fstar-split/hashmap_on_disk/Primitives.fst new file mode 100644 index 00000000..a3ffbde4 --- /dev/null +++ b/tests/fstar-split/hashmap_on_disk/Primitives.fst @@ -0,0 +1,884 @@ +/// This file lists primitive and assumed functions and types +module Primitives +open FStar.Mul +open FStar.List.Tot + +#set-options "--z3rlimit 15 --fuel 0 --ifuel 1" + +(*** Utilities *) +val list_update (#a : Type0) (ls : list a) (i : nat{i < length ls}) (x : a) : + ls':list a{ + length ls' = length ls /\ + index ls' i == x + } +#push-options "--fuel 1" +let rec list_update #a ls i x = + match ls with + | x' :: ls -> if i = 0 then x :: ls else x' :: list_update ls (i-1) x +#pop-options + +(*** Result *) +type error : Type0 = +| Failure +| OutOfFuel + +type result (a : Type0) : Type0 = +| Return : v:a -> result a +| Fail : e:error -> result a + +// Monadic return operator +unfold let return (#a : Type0) (x : a) : result a = Return x + +// Monadic bind operator. +// Allows to use the notation: +// ``` +// let* x = y in +// ... +// ``` +unfold let (let*) (#a #b : Type0) (m: result a) + (f: (x:a) -> Pure (result b) (requires (m == Return x)) (ensures fun _ -> True)) : + result b = + match m with + | Return x -> f x + | Fail e -> Fail e + +// Monadic assert(...) +let massert (b:bool) : result unit = if b then Return () else Fail Failure + +// Normalize and unwrap a successful result (used for globals). +let eval_global (#a : Type0) (x : result a{Return? (normalize_term x)}) : a = Return?.v x + +(*** Misc *) +type char = FStar.Char.char +type string = string + +let is_zero (n: nat) : bool = n = 0 +let decrease (n: nat{n > 0}) : nat = n - 1 + +let core_mem_replace (a : Type0) (x : a) (y : a) : a = x +let core_mem_replace_back (a : Type0) (x : a) (y : a) : a = y + +// We don't really use raw pointers for now +type mut_raw_ptr (t : Type0) = { v : t } +type const_raw_ptr (t : Type0) = { v : t } + +(*** Scalars *) +/// Rem.: most of the following code was partially generated + +assume val size_numbits : pos + +// TODO: we could use FStar.Int.int_t and FStar.UInt.int_t + +let isize_min : int = -9223372036854775808 // TODO: should be opaque +let isize_max : int = 9223372036854775807 // TODO: should be opaque +let i8_min : int = -128 +let i8_max : int = 127 +let i16_min : int = -32768 +let i16_max : int = 32767 +let i32_min : int = -2147483648 +let i32_max : int = 2147483647 +let i64_min : int = -9223372036854775808 +let i64_max : int = 9223372036854775807 +let i128_min : int = -170141183460469231731687303715884105728 +let i128_max : int = 170141183460469231731687303715884105727 +let usize_min : int = 0 +let usize_max : int = 4294967295 // TODO: should be opaque +let u8_min : int = 0 +let u8_max : int = 255 +let u16_min : int = 0 +let u16_max : int = 65535 +let u32_min : int = 0 +let u32_max : int = 4294967295 +let u64_min : int = 0 +let u64_max : int = 18446744073709551615 +let u128_min : int = 0 +let u128_max : int = 340282366920938463463374607431768211455 + +type scalar_ty = +| Isize +| I8 +| I16 +| I32 +| I64 +| I128 +| Usize +| U8 +| U16 +| U32 +| U64 +| U128 + +let is_unsigned = function + | Isize | I8 | I16 | I32 | I64 | I128 -> false + | Usize | U8 | U16 | U32 | U64 | U128 -> true + +let scalar_min (ty : scalar_ty) : int = + match ty with + | Isize -> isize_min + | I8 -> i8_min + | I16 -> i16_min + | I32 -> i32_min + | I64 -> i64_min + | I128 -> i128_min + | Usize -> usize_min + | U8 -> u8_min + | U16 -> u16_min + | U32 -> u32_min + | U64 -> u64_min + | U128 -> u128_min + +let scalar_max (ty : scalar_ty) : int = + match ty with + | Isize -> isize_max + | I8 -> i8_max + | I16 -> i16_max + | I32 -> i32_max + | I64 -> i64_max + | I128 -> i128_max + | Usize -> usize_max + | U8 -> u8_max + | U16 -> u16_max + | U32 -> u32_max + | U64 -> u64_max + | U128 -> u128_max + +type scalar (ty : scalar_ty) : eqtype = x:int{scalar_min ty <= x && x <= scalar_max ty} + +let mk_scalar (ty : scalar_ty) (x : int) : result (scalar ty) = + if scalar_min ty <= x && scalar_max ty >= x then Return x else Fail Failure + +let scalar_neg (#ty : scalar_ty) (x : scalar ty) : result (scalar ty) = mk_scalar ty (-x) + +let scalar_div (#ty : scalar_ty) (x : scalar ty) (y : scalar ty) : result (scalar ty) = + if y <> 0 then mk_scalar ty (x / y) else Fail Failure + +/// The remainder operation +let int_rem (x : int) (y : int{y <> 0}) : int = + if x >= 0 then (x % y) else -(x % y) + +(* Checking consistency with Rust *) +let _ = assert_norm(int_rem 1 2 = 1) +let _ = assert_norm(int_rem (-1) 2 = -1) +let _ = assert_norm(int_rem 1 (-2) = 1) +let _ = assert_norm(int_rem (-1) (-2) = -1) + +let scalar_rem (#ty : scalar_ty) (x : scalar ty) (y : scalar ty) : result (scalar ty) = + if y <> 0 then mk_scalar ty (int_rem x y) else Fail Failure + +let scalar_add (#ty : scalar_ty) (x : scalar ty) (y : scalar ty) : result (scalar ty) = + mk_scalar ty (x + y) + +let scalar_sub (#ty : scalar_ty) (x : scalar ty) (y : scalar ty) : result (scalar ty) = + mk_scalar ty (x - y) + +let scalar_mul (#ty : scalar_ty) (x : scalar ty) (y : scalar ty) : result (scalar ty) = + mk_scalar ty (x * y) + +let scalar_xor (#ty : scalar_ty) + (x : scalar ty) (y : scalar ty) : scalar ty = + match ty with + | U8 -> FStar.UInt.logxor #8 x y + | U16 -> FStar.UInt.logxor #16 x y + | U32 -> FStar.UInt.logxor #32 x y + | U64 -> FStar.UInt.logxor #64 x y + | U128 -> FStar.UInt.logxor #128 x y + | Usize -> admit() // TODO + | I8 -> + // Encoding issues... + normalize_spec (FStar.Int.int_t 8); + normalize_spec (scalar I8); + FStar.Int.logxor #8 x y + | I16 -> + // Encoding issues... + normalize_spec (FStar.Int.int_t 16); + normalize_spec (scalar I16); + FStar.Int.logxor #16 x y + | I32 -> FStar.Int.logxor #32 x y + | I64 -> FStar.Int.logxor #64 x y + | I128 -> + // Encoding issues... + normalize_spec (FStar.Int.int_t 128); + normalize_spec (scalar I128); + FStar.Int.logxor #128 x y + | Isize -> admit() // TODO + +let scalar_or (#ty : scalar_ty) + (x : scalar ty) (y : scalar ty) : scalar ty = + match ty with + | U8 -> FStar.UInt.logor #8 x y + | U16 -> FStar.UInt.logor #16 x y + | U32 -> FStar.UInt.logor #32 x y + | U64 -> FStar.UInt.logor #64 x y + | U128 -> FStar.UInt.logor #128 x y + | Usize -> admit() // TODO + | I8 -> + // Encoding issues... + normalize_spec (FStar.Int.int_t 8); + normalize_spec (scalar I8); + FStar.Int.logor #8 x y + | I16 -> + // Encoding issues... + normalize_spec (FStar.Int.int_t 16); + normalize_spec (scalar I16); + FStar.Int.logor #16 x y + | I32 -> FStar.Int.logor #32 x y + | I64 -> FStar.Int.logor #64 x y + | I128 -> + // Encoding issues... + normalize_spec (FStar.Int.int_t 128); + normalize_spec (scalar I128); + FStar.Int.logor #128 x y + | Isize -> admit() // TODO + +let scalar_and (#ty : scalar_ty) + (x : scalar ty) (y : scalar ty) : scalar ty = + match ty with + | U8 -> FStar.UInt.logand #8 x y + | U16 -> FStar.UInt.logand #16 x y + | U32 -> FStar.UInt.logand #32 x y + | U64 -> FStar.UInt.logand #64 x y + | U128 -> FStar.UInt.logand #128 x y + | Usize -> admit() // TODO + | I8 -> + // Encoding issues... + normalize_spec (FStar.Int.int_t 8); + normalize_spec (scalar I8); + FStar.Int.logand #8 x y + | I16 -> + // Encoding issues... + normalize_spec (FStar.Int.int_t 16); + normalize_spec (scalar I16); + FStar.Int.logand #16 x y + | I32 -> FStar.Int.logand #32 x y + | I64 -> FStar.Int.logand #64 x y + | I128 -> + // Encoding issues... + normalize_spec (FStar.Int.int_t 128); + normalize_spec (scalar I128); + FStar.Int.logand #128 x y + | Isize -> admit() // TODO + +// Shift left +let scalar_shl (#ty0 #ty1 : scalar_ty) + (x : scalar ty0) (y : scalar ty1) : result (scalar ty0) = + admit() + +// Shift right +let scalar_shr (#ty0 #ty1 : scalar_ty) + (x : scalar ty0) (y : scalar ty1) : result (scalar ty0) = + admit() + +(** Cast an integer from a [src_ty] to a [tgt_ty] *) +// TODO: check the semantics of casts in Rust +let scalar_cast (src_ty : scalar_ty) (tgt_ty : scalar_ty) (x : scalar src_ty) : result (scalar tgt_ty) = + mk_scalar tgt_ty x + +// This can't fail, but for now we make all casts faillible (easier for the translation) +let scalar_cast_bool (tgt_ty : scalar_ty) (x : bool) : result (scalar tgt_ty) = + mk_scalar tgt_ty (if x then 1 else 0) + +/// The scalar types +type isize : eqtype = scalar Isize +type i8 : eqtype = scalar I8 +type i16 : eqtype = scalar I16 +type i32 : eqtype = scalar I32 +type i64 : eqtype = scalar I64 +type i128 : eqtype = scalar I128 +type usize : eqtype = scalar Usize +type u8 : eqtype = scalar U8 +type u16 : eqtype = scalar U16 +type u32 : eqtype = scalar U32 +type u64 : eqtype = scalar U64 +type u128 : eqtype = scalar U128 + + +let core_isize_min : isize = isize_min +let core_isize_max : isize = isize_max +let core_i8_min : i8 = i8_min +let core_i8_max : i8 = i8_max +let core_i16_min : i16 = i16_min +let core_i16_max : i16 = i16_max +let core_i32_min : i32 = i32_min +let core_i32_max : i32 = i32_max +let core_i64_min : i64 = i64_min +let core_i64_max : i64 = i64_max +let core_i128_min : i128 = i128_min +let core_i128_max : i128 = i128_max + +let core_usize_min : usize = usize_min +let core_usize_max : usize = usize_max +let core_u8_min : u8 = u8_min +let core_u8_max : u8 = u8_max +let core_u16_min : u16 = u16_min +let core_u16_max : u16 = u16_max +let core_u32_min : u32 = u32_min +let core_u32_max : u32 = u32_max +let core_u64_min : u64 = u64_min +let core_u64_max : u64 = u64_max +let core_u128_min : u128 = u128_min +let core_u128_max : u128 = u128_max + +/// Negation +let isize_neg = scalar_neg #Isize +let i8_neg = scalar_neg #I8 +let i16_neg = scalar_neg #I16 +let i32_neg = scalar_neg #I32 +let i64_neg = scalar_neg #I64 +let i128_neg = scalar_neg #I128 + +/// Division +let isize_div = scalar_div #Isize +let i8_div = scalar_div #I8 +let i16_div = scalar_div #I16 +let i32_div = scalar_div #I32 +let i64_div = scalar_div #I64 +let i128_div = scalar_div #I128 +let usize_div = scalar_div #Usize +let u8_div = scalar_div #U8 +let u16_div = scalar_div #U16 +let u32_div = scalar_div #U32 +let u64_div = scalar_div #U64 +let u128_div = scalar_div #U128 + +/// Remainder +let isize_rem = scalar_rem #Isize +let i8_rem = scalar_rem #I8 +let i16_rem = scalar_rem #I16 +let i32_rem = scalar_rem #I32 +let i64_rem = scalar_rem #I64 +let i128_rem = scalar_rem #I128 +let usize_rem = scalar_rem #Usize +let u8_rem = scalar_rem #U8 +let u16_rem = scalar_rem #U16 +let u32_rem = scalar_rem #U32 +let u64_rem = scalar_rem #U64 +let u128_rem = scalar_rem #U128 + +/// Addition +let isize_add = scalar_add #Isize +let i8_add = scalar_add #I8 +let i16_add = scalar_add #I16 +let i32_add = scalar_add #I32 +let i64_add = scalar_add #I64 +let i128_add = scalar_add #I128 +let usize_add = scalar_add #Usize +let u8_add = scalar_add #U8 +let u16_add = scalar_add #U16 +let u32_add = scalar_add #U32 +let u64_add = scalar_add #U64 +let u128_add = scalar_add #U128 + +/// Subtraction +let isize_sub = scalar_sub #Isize +let i8_sub = scalar_sub #I8 +let i16_sub = scalar_sub #I16 +let i32_sub = scalar_sub #I32 +let i64_sub = scalar_sub #I64 +let i128_sub = scalar_sub #I128 +let usize_sub = scalar_sub #Usize +let u8_sub = scalar_sub #U8 +let u16_sub = scalar_sub #U16 +let u32_sub = scalar_sub #U32 +let u64_sub = scalar_sub #U64 +let u128_sub = scalar_sub #U128 + +/// Multiplication +let isize_mul = scalar_mul #Isize +let i8_mul = scalar_mul #I8 +let i16_mul = scalar_mul #I16 +let i32_mul = scalar_mul #I32 +let i64_mul = scalar_mul #I64 +let i128_mul = scalar_mul #I128 +let usize_mul = scalar_mul #Usize +let u8_mul = scalar_mul #U8 +let u16_mul = scalar_mul #U16 +let u32_mul = scalar_mul #U32 +let u64_mul = scalar_mul #U64 +let u128_mul = scalar_mul #U128 + +/// Xor +let u8_xor = scalar_xor #U8 +let u16_xor = scalar_xor #U16 +let u32_xor = scalar_xor #U32 +let u64_xor = scalar_xor #U64 +let u128_xor = scalar_xor #U128 +let usize_xor = scalar_xor #Usize +let i8_xor = scalar_xor #I8 +let i16_xor = scalar_xor #I16 +let i32_xor = scalar_xor #I32 +let i64_xor = scalar_xor #I64 +let i128_xor = scalar_xor #I128 +let isize_xor = scalar_xor #Isize + +/// Or +let u8_or = scalar_or #U8 +let u16_or = scalar_or #U16 +let u32_or = scalar_or #U32 +let u64_or = scalar_or #U64 +let u128_or = scalar_or #U128 +let usize_or = scalar_or #Usize +let i8_or = scalar_or #I8 +let i16_or = scalar_or #I16 +let i32_or = scalar_or #I32 +let i64_or = scalar_or #I64 +let i128_or = scalar_or #I128 +let isize_or = scalar_or #Isize + +/// And +let u8_and = scalar_and #U8 +let u16_and = scalar_and #U16 +let u32_and = scalar_and #U32 +let u64_and = scalar_and #U64 +let u128_and = scalar_and #U128 +let usize_and = scalar_and #Usize +let i8_and = scalar_and #I8 +let i16_and = scalar_and #I16 +let i32_and = scalar_and #I32 +let i64_and = scalar_and #I64 +let i128_and = scalar_and #I128 +let isize_and = scalar_and #Isize + +/// Shift left +let u8_shl #ty = scalar_shl #U8 #ty +let u16_shl #ty = scalar_shl #U16 #ty +let u32_shl #ty = scalar_shl #U32 #ty +let u64_shl #ty = scalar_shl #U64 #ty +let u128_shl #ty = scalar_shl #U128 #ty +let usize_shl #ty = scalar_shl #Usize #ty +let i8_shl #ty = scalar_shl #I8 #ty +let i16_shl #ty = scalar_shl #I16 #ty +let i32_shl #ty = scalar_shl #I32 #ty +let i64_shl #ty = scalar_shl #I64 #ty +let i128_shl #ty = scalar_shl #I128 #ty +let isize_shl #ty = scalar_shl #Isize #ty + +/// Shift right +let u8_shr #ty = scalar_shr #U8 #ty +let u16_shr #ty = scalar_shr #U16 #ty +let u32_shr #ty = scalar_shr #U32 #ty +let u64_shr #ty = scalar_shr #U64 #ty +let u128_shr #ty = scalar_shr #U128 #ty +let usize_shr #ty = scalar_shr #Usize #ty +let i8_shr #ty = scalar_shr #I8 #ty +let i16_shr #ty = scalar_shr #I16 #ty +let i32_shr #ty = scalar_shr #I32 #ty +let i64_shr #ty = scalar_shr #I64 #ty +let i128_shr #ty = scalar_shr #I128 #ty +let isize_shr #ty = scalar_shr #Isize #ty + +(*** core::ops *) + +// Trait declaration: [core::ops::index::Index] +noeq type core_ops_index_Index (self idx : Type0) = { + output : Type0; + index : self → idx → result output +} + +// Trait declaration: [core::ops::index::IndexMut] +noeq type core_ops_index_IndexMut (self idx : Type0) = { + indexInst : core_ops_index_Index self idx; + index_mut : self → idx → result indexInst.output; + index_mut_back : self → idx → indexInst.output → result self; +} + +// Trait declaration [core::ops::deref::Deref] +noeq type core_ops_deref_Deref (self : Type0) = { + target : Type0; + deref : self → result target; +} + +// Trait declaration [core::ops::deref::DerefMut] +noeq type core_ops_deref_DerefMut (self : Type0) = { + derefInst : core_ops_deref_Deref self; + deref_mut : self → result derefInst.target; + deref_mut_back : self → derefInst.target → result self; +} + +type core_ops_range_Range (a : Type0) = { + start : a; + end_ : a; +} + +(*** [alloc] *) + +let alloc_boxed_Box_deref (t : Type0) (x : t) : result t = Return x +let alloc_boxed_Box_deref_mut (t : Type0) (x : t) : result t = Return x +let alloc_boxed_Box_deref_mut_back (t : Type) (_ : t) (x : t) : result t = Return x + +// Trait instance +let alloc_boxed_Box_coreopsDerefInst (self : Type0) : core_ops_deref_Deref self = { + target = self; + deref = alloc_boxed_Box_deref self; +} + +// Trait instance +let alloc_boxed_Box_coreopsDerefMutInst (self : Type0) : core_ops_deref_DerefMut self = { + derefInst = alloc_boxed_Box_coreopsDerefInst self; + deref_mut = alloc_boxed_Box_deref_mut self; + deref_mut_back = alloc_boxed_Box_deref_mut_back self; +} + +(*** Array *) +type array (a : Type0) (n : usize) = s:list a{length s = n} + +// We tried putting the normalize_term condition as a refinement on the list +// but it didn't work. It works with the requires clause. +let mk_array (a : Type0) (n : usize) + (l : list a) : + Pure (array a n) + (requires (normalize_term(FStar.List.Tot.length l) = n)) + (ensures (fun _ -> True)) = + normalize_term_spec (FStar.List.Tot.length l); + l + +let array_index_usize (a : Type0) (n : usize) (x : array a n) (i : usize) : result a = + if i < length x then Return (index x i) + else Fail Failure + +let array_update_usize (a : Type0) (n : usize) (x : array a n) (i : usize) (nx : a) : result (array a n) = + if i < length x then Return (list_update x i nx) + else Fail Failure + +(*** Slice *) +type slice (a : Type0) = s:list a{length s <= usize_max} + +let slice_len (a : Type0) (s : slice a) : usize = length s + +let slice_index_usize (a : Type0) (x : slice a) (i : usize) : result a = + if i < length x then Return (index x i) + else Fail Failure + +let slice_update_usize (a : Type0) (x : slice a) (i : usize) (nx : a) : result (slice a) = + if i < length x then Return (list_update x i nx) + else Fail Failure + +(*** Subslices *) + +let array_to_slice (a : Type0) (n : usize) (x : array a n) : result (slice a) = Return x +let array_from_slice (a : Type0) (n : usize) (x : array a n) (s : slice a) : result (array a n) = + if length s = n then Return s + else Fail Failure + +// TODO: finish the definitions below (there lacks [List.drop] and [List.take] in the standard library *) +let array_subslice (a : Type0) (n : usize) (x : array a n) (r : core_ops_range_Range usize) : result (slice a) = + admit() + +let array_update_subslice (a : Type0) (n : usize) (x : array a n) (r : core_ops_range_Range usize) (ns : slice a) : result (array a n) = + admit() + +let array_repeat (a : Type0) (n : usize) (x : a) : array a n = + admit() + +let slice_subslice (a : Type0) (x : slice a) (r : core_ops_range_Range usize) : result (slice a) = + admit() + +let slice_update_subslice (a : Type0) (x : slice a) (r : core_ops_range_Range usize) (ns : slice a) : result (slice a) = + admit() + +(*** Vector *) +type alloc_vec_Vec (a : Type0) = v:list a{length v <= usize_max} + +let alloc_vec_Vec_new (a : Type0) : alloc_vec_Vec a = assert_norm(length #a [] == 0); [] +let alloc_vec_Vec_len (a : Type0) (v : alloc_vec_Vec a) : usize = length v + +// Helper +let alloc_vec_Vec_index_usize (#a : Type0) (v : alloc_vec_Vec a) (i : usize) : result a = + if i < length v then Return (index v i) else Fail Failure +// Helper +let alloc_vec_Vec_update_usize (#a : Type0) (v : alloc_vec_Vec a) (i : usize) (x : a) : result (alloc_vec_Vec a) = + if i < length v then Return (list_update v i x) else Fail Failure + +// The **forward** function shouldn't be used +let alloc_vec_Vec_push_fwd (a : Type0) (v : alloc_vec_Vec a) (x : a) : unit = () +let alloc_vec_Vec_push (a : Type0) (v : alloc_vec_Vec a) (x : a) : + Pure (result (alloc_vec_Vec a)) + (requires True) + (ensures (fun res -> + match res with + | Fail e -> e == Failure + | Return v' -> length v' = length v + 1)) = + if length v < usize_max then begin + (**) assert_norm(length [x] == 1); + (**) append_length v [x]; + (**) assert(length (append v [x]) = length v + 1); + Return (append v [x]) + end + else Fail Failure + +// The **forward** function shouldn't be used +let alloc_vec_Vec_insert_fwd (a : Type0) (v : alloc_vec_Vec a) (i : usize) (x : a) : result unit = + if i < length v then Return () else Fail Failure +let alloc_vec_Vec_insert (a : Type0) (v : alloc_vec_Vec a) (i : usize) (x : a) : result (alloc_vec_Vec a) = + if i < length v then Return (list_update v i x) else Fail Failure + +// Trait declaration: [core::slice::index::private_slice_index::Sealed] +type core_slice_index_private_slice_index_Sealed (self : Type0) = unit + +// Trait declaration: [core::slice::index::SliceIndex] +noeq type core_slice_index_SliceIndex (self t : Type0) = { + sealedInst : core_slice_index_private_slice_index_Sealed self; + output : Type0; + get : self → t → result (option output); + get_mut : self → t → result (option output); + get_mut_back : self → t → option output → result t; + get_unchecked : self → const_raw_ptr t → result (const_raw_ptr output); + get_unchecked_mut : self → mut_raw_ptr t → result (mut_raw_ptr output); + index : self → t → result output; + index_mut : self → t → result output; + index_mut_back : self → t → output → result t; +} + +// [core::slice::index::[T]::index]: forward function +let core_slice_index_Slice_index + (t idx : Type0) (inst : core_slice_index_SliceIndex idx (slice t)) + (s : slice t) (i : idx) : result inst.output = + let* x = inst.get i s in + match x with + | None -> Fail Failure + | Some x -> Return x + +// [core::slice::index::Range:::get]: forward function +let core_slice_index_RangeUsize_get (t : Type0) (i : core_ops_range_Range usize) (s : slice t) : + result (option (slice t)) = + admit () // TODO + +// [core::slice::index::Range::get_mut]: forward function +let core_slice_index_RangeUsize_get_mut + (t : Type0) : core_ops_range_Range usize → slice t → result (option (slice t)) = + admit () // TODO + +// [core::slice::index::Range::get_mut]: backward function 0 +let core_slice_index_RangeUsize_get_mut_back + (t : Type0) : + core_ops_range_Range usize → slice t → option (slice t) → result (slice t) = + admit () // TODO + +// [core::slice::index::Range::get_unchecked]: forward function +let core_slice_index_RangeUsize_get_unchecked + (t : Type0) : + core_ops_range_Range usize → const_raw_ptr (slice t) → result (const_raw_ptr (slice t)) = + // Don't know what the model should be - for now we always fail to make + // sure code which uses it fails + fun _ _ -> Fail Failure + +// [core::slice::index::Range::get_unchecked_mut]: forward function +let core_slice_index_RangeUsize_get_unchecked_mut + (t : Type0) : + core_ops_range_Range usize → mut_raw_ptr (slice t) → result (mut_raw_ptr (slice t)) = + // Don't know what the model should be - for now we always fail to make + // sure code which uses it fails + fun _ _ -> Fail Failure + +// [core::slice::index::Range::index]: forward function +let core_slice_index_RangeUsize_index + (t : Type0) : core_ops_range_Range usize → slice t → result (slice t) = + admit () // TODO + +// [core::slice::index::Range::index_mut]: forward function +let core_slice_index_RangeUsize_index_mut + (t : Type0) : core_ops_range_Range usize → slice t → result (slice t) = + admit () // TODO + +// [core::slice::index::Range::index_mut]: backward function 0 +let core_slice_index_RangeUsize_index_mut_back + (t : Type0) : core_ops_range_Range usize → slice t → slice t → result (slice t) = + admit () // TODO + +// [core::slice::index::[T]::index_mut]: forward function +let core_slice_index_Slice_index_mut + (t idx : Type0) (inst : core_slice_index_SliceIndex idx (slice t)) : + slice t → idx → result inst.output = + admit () // + +// [core::slice::index::[T]::index_mut]: backward function 0 +let core_slice_index_Slice_index_mut_back + (t idx : Type0) (inst : core_slice_index_SliceIndex idx (slice t)) : + slice t → idx → inst.output → result (slice t) = + admit () // TODO + +// [core::array::[T; N]::index]: forward function +let core_array_Array_index + (t idx : Type0) (n : usize) (inst : core_ops_index_Index (slice t) idx) + (a : array t n) (i : idx) : result inst.output = + admit () // TODO + +// [core::array::[T; N]::index_mut]: forward function +let core_array_Array_index_mut + (t idx : Type0) (n : usize) (inst : core_ops_index_IndexMut (slice t) idx) + (a : array t n) (i : idx) : result inst.indexInst.output = + admit () // TODO + +// [core::array::[T; N]::index_mut]: backward function 0 +let core_array_Array_index_mut_back + (t idx : Type0) (n : usize) (inst : core_ops_index_IndexMut (slice t) idx) + (a : array t n) (i : idx) (x : inst.indexInst.output) : result (array t n) = + admit () // TODO + +// Trait implementation: [core::slice::index::private_slice_index::Range] +let core_slice_index_private_slice_index_SealedRangeUsizeInst + : core_slice_index_private_slice_index_Sealed (core_ops_range_Range usize) = () + +// Trait implementation: [core::slice::index::Range] +let core_slice_index_SliceIndexRangeUsizeSliceTInst (t : Type0) : + core_slice_index_SliceIndex (core_ops_range_Range usize) (slice t) = { + sealedInst = core_slice_index_private_slice_index_SealedRangeUsizeInst; + output = slice t; + get = core_slice_index_RangeUsize_get t; + get_mut = core_slice_index_RangeUsize_get_mut t; + get_mut_back = core_slice_index_RangeUsize_get_mut_back t; + get_unchecked = core_slice_index_RangeUsize_get_unchecked t; + get_unchecked_mut = core_slice_index_RangeUsize_get_unchecked_mut t; + index = core_slice_index_RangeUsize_index t; + index_mut = core_slice_index_RangeUsize_index_mut t; + index_mut_back = core_slice_index_RangeUsize_index_mut_back t; +} + +// Trait implementation: [core::slice::index::[T]] +let core_ops_index_IndexSliceTIInst (t idx : Type0) + (inst : core_slice_index_SliceIndex idx (slice t)) : + core_ops_index_Index (slice t) idx = { + output = inst.output; + index = core_slice_index_Slice_index t idx inst; +} + +// Trait implementation: [core::slice::index::[T]] +let core_ops_index_IndexMutSliceTIInst (t idx : Type0) + (inst : core_slice_index_SliceIndex idx (slice t)) : + core_ops_index_IndexMut (slice t) idx = { + indexInst = core_ops_index_IndexSliceTIInst t idx inst; + index_mut = core_slice_index_Slice_index_mut t idx inst; + index_mut_back = core_slice_index_Slice_index_mut_back t idx inst; +} + +// Trait implementation: [core::array::[T; N]] +let core_ops_index_IndexArrayInst (t idx : Type0) (n : usize) + (inst : core_ops_index_Index (slice t) idx) : + core_ops_index_Index (array t n) idx = { + output = inst.output; + index = core_array_Array_index t idx n inst; +} + +// Trait implementation: [core::array::[T; N]] +let core_ops_index_IndexMutArrayIInst (t idx : Type0) (n : usize) + (inst : core_ops_index_IndexMut (slice t) idx) : + core_ops_index_IndexMut (array t n) idx = { + indexInst = core_ops_index_IndexArrayInst t idx n inst.indexInst; + index_mut = core_array_Array_index_mut t idx n inst; + index_mut_back = core_array_Array_index_mut_back t idx n inst; +} + +// [core::slice::index::usize::get]: forward function +let core_slice_index_usize_get + (t : Type0) : usize → slice t → result (option t) = + admit () // TODO + +// [core::slice::index::usize::get_mut]: forward function +let core_slice_index_usize_get_mut + (t : Type0) : usize → slice t → result (option t) = + admit () // TODO + +// [core::slice::index::usize::get_mut]: backward function 0 +let core_slice_index_usize_get_mut_back + (t : Type0) : usize → slice t → option t → result (slice t) = + admit () // TODO + +// [core::slice::index::usize::get_unchecked]: forward function +let core_slice_index_usize_get_unchecked + (t : Type0) : usize → const_raw_ptr (slice t) → result (const_raw_ptr t) = + admit () // TODO + +// [core::slice::index::usize::get_unchecked_mut]: forward function +let core_slice_index_usize_get_unchecked_mut + (t : Type0) : usize → mut_raw_ptr (slice t) → result (mut_raw_ptr t) = + admit () // TODO + +// [core::slice::index::usize::index]: forward function +let core_slice_index_usize_index (t : Type0) : usize → slice t → result t = + admit () // TODO + +// [core::slice::index::usize::index_mut]: forward function +let core_slice_index_usize_index_mut (t : Type0) : usize → slice t → result t = + admit () // TODO + +// [core::slice::index::usize::index_mut]: backward function 0 +let core_slice_index_usize_index_mut_back + (t : Type0) : usize → slice t → t → result (slice t) = + admit () // TODO + +// Trait implementation: [core::slice::index::private_slice_index::usize] +let core_slice_index_private_slice_index_SealedUsizeInst + : core_slice_index_private_slice_index_Sealed usize = () + +// Trait implementation: [core::slice::index::usize] +let core_slice_index_SliceIndexUsizeSliceTInst (t : Type0) : + core_slice_index_SliceIndex usize (slice t) = { + sealedInst = core_slice_index_private_slice_index_SealedUsizeInst; + output = t; + get = core_slice_index_usize_get t; + get_mut = core_slice_index_usize_get_mut t; + get_mut_back = core_slice_index_usize_get_mut_back t; + get_unchecked = core_slice_index_usize_get_unchecked t; + get_unchecked_mut = core_slice_index_usize_get_unchecked_mut t; + index = core_slice_index_usize_index t; + index_mut = core_slice_index_usize_index_mut t; + index_mut_back = core_slice_index_usize_index_mut_back t; +} + +// [alloc::vec::Vec::index]: forward function +let alloc_vec_Vec_index (t idx : Type0) (inst : core_slice_index_SliceIndex idx (slice t)) + (self : alloc_vec_Vec t) (i : idx) : result inst.output = + admit () // TODO + +// [alloc::vec::Vec::index_mut]: forward function +let alloc_vec_Vec_index_mut (t idx : Type0) (inst : core_slice_index_SliceIndex idx (slice t)) + (self : alloc_vec_Vec t) (i : idx) : result inst.output = + admit () // TODO + +// [alloc::vec::Vec::index_mut]: backward function 0 +let alloc_vec_Vec_index_mut_back + (t idx : Type0) (inst : core_slice_index_SliceIndex idx (slice t)) + (self : alloc_vec_Vec t) (i : idx) (x : inst.output) : result (alloc_vec_Vec t) = + admit () // TODO + +// Trait implementation: [alloc::vec::Vec] +let alloc_vec_Vec_coreopsindexIndexInst (t idx : Type0) + (inst : core_slice_index_SliceIndex idx (slice t)) : + core_ops_index_Index (alloc_vec_Vec t) idx = { + output = inst.output; + index = alloc_vec_Vec_index t idx inst; +} + +// Trait implementation: [alloc::vec::Vec] +let alloc_vec_Vec_coreopsindexIndexMutInst (t idx : Type0) + (inst : core_slice_index_SliceIndex idx (slice t)) : + core_ops_index_IndexMut (alloc_vec_Vec t) idx = { + indexInst = alloc_vec_Vec_coreopsindexIndexInst t idx inst; + index_mut = alloc_vec_Vec_index_mut t idx inst; + index_mut_back = alloc_vec_Vec_index_mut_back t idx inst; +} + +(*** Theorems *) + +let alloc_vec_Vec_index_eq (#a : Type0) (v : alloc_vec_Vec a) (i : usize) : + Lemma ( + alloc_vec_Vec_index a usize (core_slice_index_SliceIndexUsizeSliceTInst a) v i == + alloc_vec_Vec_index_usize v i) + [SMTPat (alloc_vec_Vec_index a usize (core_slice_index_SliceIndexUsizeSliceTInst a) v i)] + = + admit() + +let alloc_vec_Vec_index_mut_eq (#a : Type0) (v : alloc_vec_Vec a) (i : usize) : + Lemma ( + alloc_vec_Vec_index_mut a usize (core_slice_index_SliceIndexUsizeSliceTInst a) v i == + alloc_vec_Vec_index_usize v i) + [SMTPat (alloc_vec_Vec_index_mut a usize (core_slice_index_SliceIndexUsizeSliceTInst a) v i)] + = + admit() + +let alloc_vec_Vec_index_mut_back_eq (#a : Type0) (v : alloc_vec_Vec a) (i : usize) (x : a) : + Lemma ( + alloc_vec_Vec_index_mut_back a usize (core_slice_index_SliceIndexUsizeSliceTInst a) v i x == + alloc_vec_Vec_update_usize v i x) + [SMTPat (alloc_vec_Vec_index_mut_back a usize (core_slice_index_SliceIndexUsizeSliceTInst a) v i x)] + = + admit() diff --git a/tests/fstar-split/misc/Bitwise.fst b/tests/fstar-split/misc/Bitwise.fst new file mode 100644 index 00000000..d7ba2c57 --- /dev/null +++ b/tests/fstar-split/misc/Bitwise.fst @@ -0,0 +1,32 @@ +(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *) +(** [bitwise] *) +module Bitwise +open Primitives + +#set-options "--z3rlimit 50 --fuel 1 --ifuel 1" + +(** [bitwise::shift_u32]: forward function + Source: 'src/bitwise.rs', lines 3:0-3:31 *) +let shift_u32 (a : u32) : result u32 = + let* t = u32_shr #Usize a 16 in u32_shl #Usize t 16 + +(** [bitwise::shift_i32]: forward function + Source: 'src/bitwise.rs', lines 10:0-10:31 *) +let shift_i32 (a : i32) : result i32 = + let* t = i32_shr #Isize a 16 in i32_shl #Isize t 16 + +(** [bitwise::xor_u32]: forward function + Source: 'src/bitwise.rs', lines 17:0-17:37 *) +let xor_u32 (a : u32) (b : u32) : result u32 = + Return (u32_xor a b) + +(** [bitwise::or_u32]: forward function + Source: 'src/bitwise.rs', lines 21:0-21:36 *) +let or_u32 (a : u32) (b : u32) : result u32 = + Return (u32_or a b) + +(** [bitwise::and_u32]: forward function + Source: 'src/bitwise.rs', lines 25:0-25:37 *) +let and_u32 (a : u32) (b : u32) : result u32 = + Return (u32_and a b) + diff --git a/tests/fstar-split/misc/Constants.fst b/tests/fstar-split/misc/Constants.fst new file mode 100644 index 00000000..7e56cc20 --- /dev/null +++ b/tests/fstar-split/misc/Constants.fst @@ -0,0 +1,145 @@ +(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *) +(** [constants] *) +module Constants +open Primitives + +#set-options "--z3rlimit 50 --fuel 1 --ifuel 1" + +(** [constants::X0] + Source: 'src/constants.rs', lines 5:0-5:17 *) +let x0_body : result u32 = Return 0 +let x0_c : u32 = eval_global x0_body + +(** [constants::X1] + Source: 'src/constants.rs', lines 7:0-7:17 *) +let x1_body : result u32 = Return core_u32_max +let x1_c : u32 = eval_global x1_body + +(** [constants::X2] + Source: 'src/constants.rs', lines 10:0-10:17 *) +let x2_body : result u32 = Return 3 +let x2_c : u32 = eval_global x2_body + +(** [constants::incr]: forward function + Source: 'src/constants.rs', lines 17:0-17:32 *) +let incr (n : u32) : result u32 = + u32_add n 1 + +(** [constants::X3] + Source: 'src/constants.rs', lines 15:0-15:17 *) +let x3_body : result u32 = incr 32 +let x3_c : u32 = eval_global x3_body + +(** [constants::mk_pair0]: forward function + Source: 'src/constants.rs', lines 23:0-23:51 *) +let mk_pair0 (x : u32) (y : u32) : result (u32 & u32) = + Return (x, y) + +(** [constants::Pair] + Source: 'src/constants.rs', lines 36:0-36:23 *) +type pair_t (t1 t2 : Type0) = { x : t1; y : t2; } + +(** [constants::mk_pair1]: forward function + Source: 'src/constants.rs', lines 27:0-27:55 *) +let mk_pair1 (x : u32) (y : u32) : result (pair_t u32 u32) = + Return { x = x; y = y } + +(** [constants::P0] + Source: 'src/constants.rs', lines 31:0-31:24 *) +let p0_body : result (u32 & u32) = mk_pair0 0 1 +let p0_c : (u32 & u32) = eval_global p0_body + +(** [constants::P1] + Source: 'src/constants.rs', lines 32:0-32:28 *) +let p1_body : result (pair_t u32 u32) = mk_pair1 0 1 +let p1_c : pair_t u32 u32 = eval_global p1_body + +(** [constants::P2] + Source: 'src/constants.rs', lines 33:0-33:24 *) +let p2_body : result (u32 & u32) = Return (0, 1) +let p2_c : (u32 & u32) = eval_global p2_body + +(** [constants::P3] + Source: 'src/constants.rs', lines 34:0-34:28 *) +let p3_body : result (pair_t u32 u32) = Return { x = 0; y = 1 } +let p3_c : pair_t u32 u32 = eval_global p3_body + +(** [constants::Wrap] + Source: 'src/constants.rs', lines 49:0-49:18 *) +type wrap_t (t : Type0) = { value : t; } + +(** [constants::{constants::Wrap<T>}::new]: forward function + Source: 'src/constants.rs', lines 54:4-54:41 *) +let wrap_new (t : Type0) (value : t) : result (wrap_t t) = + Return { value = value } + +(** [constants::Y] + Source: 'src/constants.rs', lines 41:0-41:22 *) +let y_body : result (wrap_t i32) = wrap_new i32 2 +let y_c : wrap_t i32 = eval_global y_body + +(** [constants::unwrap_y]: forward function + Source: 'src/constants.rs', lines 43:0-43:30 *) +let unwrap_y : result i32 = + Return y_c.value + +(** [constants::YVAL] + Source: 'src/constants.rs', lines 47:0-47:19 *) +let yval_body : result i32 = unwrap_y +let yval_c : i32 = eval_global yval_body + +(** [constants::get_z1::Z1] + Source: 'src/constants.rs', lines 62:4-62:17 *) +let get_z1_z1_body : result i32 = Return 3 +let get_z1_z1_c : i32 = eval_global get_z1_z1_body + +(** [constants::get_z1]: forward function + Source: 'src/constants.rs', lines 61:0-61:28 *) +let get_z1 : result i32 = + Return get_z1_z1_c + +(** [constants::add]: forward function + Source: 'src/constants.rs', lines 66:0-66:39 *) +let add (a : i32) (b : i32) : result i32 = + i32_add a b + +(** [constants::Q1] + Source: 'src/constants.rs', lines 74:0-74:17 *) +let q1_body : result i32 = Return 5 +let q1_c : i32 = eval_global q1_body + +(** [constants::Q2] + Source: 'src/constants.rs', lines 75:0-75:17 *) +let q2_body : result i32 = Return q1_c +let q2_c : i32 = eval_global q2_body + +(** [constants::Q3] + Source: 'src/constants.rs', lines 76:0-76:17 *) +let q3_body : result i32 = add q2_c 3 +let q3_c : i32 = eval_global q3_body + +(** [constants::get_z2]: forward function + Source: 'src/constants.rs', lines 70:0-70:28 *) +let get_z2 : result i32 = + let* i = get_z1 in let* i1 = add i q3_c in add q1_c i1 + +(** [constants::S1] + Source: 'src/constants.rs', lines 80:0-80:18 *) +let s1_body : result u32 = Return 6 +let s1_c : u32 = eval_global s1_body + +(** [constants::S2] + Source: 'src/constants.rs', lines 81:0-81:18 *) +let s2_body : result u32 = incr s1_c +let s2_c : u32 = eval_global s2_body + +(** [constants::S3] + Source: 'src/constants.rs', lines 82:0-82:29 *) +let s3_body : result (pair_t u32 u32) = Return p3_c +let s3_c : pair_t u32 u32 = eval_global s3_body + +(** [constants::S4] + Source: 'src/constants.rs', lines 83:0-83:29 *) +let s4_body : result (pair_t u32 u32) = mk_pair1 7 8 +let s4_c : pair_t u32 u32 = eval_global s4_body + diff --git a/tests/fstar-split/misc/External.Funs.fst b/tests/fstar-split/misc/External.Funs.fst new file mode 100644 index 00000000..65382549 --- /dev/null +++ b/tests/fstar-split/misc/External.Funs.fst @@ -0,0 +1,82 @@ +(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *) +(** [external]: function definitions *) +module External.Funs +open Primitives +include External.Types +include External.FunsExternal + +#set-options "--z3rlimit 50 --fuel 1 --ifuel 1" + +(** [external::swap]: forward function + Source: 'src/external.rs', lines 6:0-6:46 *) +let swap (t : Type0) (x : t) (y : t) (st : state) : result (state & unit) = + let* (st1, _) = core_mem_swap t x y st in + let* (st2, _) = core_mem_swap_back0 t x y st st1 in + let* (st3, _) = core_mem_swap_back1 t x y st st2 in + Return (st3, ()) + +(** [external::swap]: backward function 0 + Source: 'src/external.rs', lines 6:0-6:46 *) +let swap_back + (t : Type0) (x : t) (y : t) (st : state) (st1 : state) : + result (state & (t & t)) + = + let* (st2, _) = core_mem_swap t x y st in + let* (st3, x1) = core_mem_swap_back0 t x y st st2 in + let* (_, y1) = core_mem_swap_back1 t x y st st3 in + Return (st1, (x1, y1)) + +(** [external::test_new_non_zero_u32]: forward function + Source: 'src/external.rs', lines 11:0-11:60 *) +let test_new_non_zero_u32 + (x : u32) (st : state) : result (state & core_num_nonzero_NonZeroU32_t) = + let* (st1, o) = core_num_nonzero_NonZeroU32_new x st in + core_option_Option_unwrap core_num_nonzero_NonZeroU32_t o st1 + +(** [external::test_vec]: forward function + Source: 'src/external.rs', lines 17:0-17:17 *) +let test_vec : result unit = + let* _ = alloc_vec_Vec_push u32 (alloc_vec_Vec_new u32) 0 in Return () + +(** Unit test for [external::test_vec] *) +let _ = assert_norm (test_vec = Return ()) + +(** [external::custom_swap]: forward function + Source: 'src/external.rs', lines 24:0-24:66 *) +let custom_swap (t : Type0) (x : t) (y : t) (st : state) : result (state & t) = + let* (st1, _) = core_mem_swap t x y st in + let* (st2, x1) = core_mem_swap_back0 t x y st st1 in + let* (st3, _) = core_mem_swap_back1 t x y st st2 in + Return (st3, x1) + +(** [external::custom_swap]: backward function 0 + Source: 'src/external.rs', lines 24:0-24:66 *) +let custom_swap_back + (t : Type0) (x : t) (y : t) (st : state) (ret : t) (st1 : state) : + result (state & (t & t)) + = + let* (st2, _) = core_mem_swap t x y st in + let* (st3, _) = core_mem_swap_back0 t x y st st2 in + let* (_, y1) = core_mem_swap_back1 t x y st st3 in + Return (st1, (ret, y1)) + +(** [external::test_custom_swap]: forward function + Source: 'src/external.rs', lines 29:0-29:59 *) +let test_custom_swap (x : u32) (y : u32) (st : state) : result (state & unit) = + let* (st1, _) = custom_swap u32 x y st in Return (st1, ()) + +(** [external::test_custom_swap]: backward function 0 + Source: 'src/external.rs', lines 29:0-29:59 *) +let test_custom_swap_back + (x : u32) (y : u32) (st : state) (st1 : state) : + result (state & (u32 & u32)) + = + custom_swap_back u32 x y st 1 st1 + +(** [external::test_swap_non_zero]: forward function + Source: 'src/external.rs', lines 35:0-35:44 *) +let test_swap_non_zero (x : u32) (st : state) : result (state & u32) = + let* (st1, _) = swap u32 x 0 st in + let* (st2, (x1, _)) = swap_back u32 x 0 st st1 in + if x1 = 0 then Fail Failure else Return (st2, x1) + diff --git a/tests/fstar-split/misc/External.FunsExternal.fsti b/tests/fstar-split/misc/External.FunsExternal.fsti new file mode 100644 index 00000000..923a1101 --- /dev/null +++ b/tests/fstar-split/misc/External.FunsExternal.fsti @@ -0,0 +1,32 @@ +(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *) +(** [external]: external function declarations *) +module External.FunsExternal +open Primitives +include External.Types + +#set-options "--z3rlimit 50 --fuel 1 --ifuel 1" + +(** [core::mem::swap]: forward function + Source: '/rustc/d59363ad0b6391b7fc5bbb02c9ccf9300eef3753/library/core/src/mem/mod.rs', lines 726:0-726:42 *) +val core_mem_swap (t : Type0) : 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 *) +val core_mem_swap_back0 + (t : Type0) : 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 *) +val core_mem_swap_back1 + (t : Type0) : t -> t -> state -> state -> result (state & t) + +(** [core::num::nonzero::{core::num::nonzero::NonZeroU32#14}::new]: forward function + Source: '/rustc/d59363ad0b6391b7fc5bbb02c9ccf9300eef3753/library/core/src/num/nonzero.rs', lines 79:16-79:57 *) +val core_num_nonzero_NonZeroU32_new + : u32 -> state -> result (state & (option core_num_nonzero_NonZeroU32_t)) + +(** [core::option::{core::option::Option<T>}::unwrap]: forward function + Source: '/rustc/d59363ad0b6391b7fc5bbb02c9ccf9300eef3753/library/core/src/option.rs', lines 932:4-932:34 *) +val core_option_Option_unwrap + (t : Type0) : option t -> state -> result (state & t) + diff --git a/tests/fstar-split/misc/External.Types.fst b/tests/fstar-split/misc/External.Types.fst new file mode 100644 index 00000000..4fbcec47 --- /dev/null +++ b/tests/fstar-split/misc/External.Types.fst @@ -0,0 +1,8 @@ +(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *) +(** [external]: type definitions *) +module External.Types +open Primitives +include External.TypesExternal + +#set-options "--z3rlimit 50 --fuel 1 --ifuel 1" + diff --git a/tests/fstar-split/misc/External.TypesExternal.fsti b/tests/fstar-split/misc/External.TypesExternal.fsti new file mode 100644 index 00000000..4bfbe0c5 --- /dev/null +++ b/tests/fstar-split/misc/External.TypesExternal.fsti @@ -0,0 +1,14 @@ +(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *) +(** [external]: external type declarations *) +module External.TypesExternal +open Primitives + +#set-options "--z3rlimit 50 --fuel 1 --ifuel 1" + +(** [core::num::nonzero::NonZeroU32] + Source: '/rustc/d59363ad0b6391b7fc5bbb02c9ccf9300eef3753/library/core/src/num/nonzero.rs', lines 50:12-50:33 *) +val core_num_nonzero_NonZeroU32_t : Type0 + +(** The state type used in the state-error monad *) +val state : Type0 + diff --git a/tests/fstar-split/misc/Loops.Clauses.Template.fst b/tests/fstar-split/misc/Loops.Clauses.Template.fst new file mode 100644 index 00000000..6be351c6 --- /dev/null +++ b/tests/fstar-split/misc/Loops.Clauses.Template.fst @@ -0,0 +1,131 @@ +(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *) +(** [loops]: templates for the decreases clauses *) +module Loops.Clauses.Template +open Primitives +open Loops.Types + +#set-options "--z3rlimit 50 --fuel 1 --ifuel 1" + +(** [loops::sum]: decreases clause + Source: 'src/loops.rs', lines 4:0-14:1 *) +unfold let sum_loop_decreases (max : u32) (i : u32) (s : u32) : nat = admit () + +(** [loops::sum_with_mut_borrows]: decreases clause + Source: 'src/loops.rs', lines 19:0-31:1 *) +unfold +let sum_with_mut_borrows_loop_decreases (max : u32) (mi : u32) (ms : u32) : nat + = + admit () + +(** [loops::sum_with_shared_borrows]: decreases clause + Source: 'src/loops.rs', lines 34:0-48:1 *) +unfold +let sum_with_shared_borrows_loop_decreases (max : u32) (i : u32) (s : u32) : + nat = + admit () + +(** [loops::clear]: decreases clause + Source: 'src/loops.rs', lines 52:0-58:1 *) +unfold +let clear_loop_decreases (v : alloc_vec_Vec u32) (i : usize) : nat = admit () + +(** [loops::list_mem]: decreases clause + Source: 'src/loops.rs', lines 66:0-75:1 *) +unfold let list_mem_loop_decreases (x : u32) (ls : list_t u32) : nat = admit () + +(** [loops::list_nth_mut_loop]: decreases clause + Source: 'src/loops.rs', lines 78:0-88:1 *) +unfold +let list_nth_mut_loop_loop_decreases (t : Type0) (ls : list_t t) (i : u32) : + nat = + admit () + +(** [loops::list_nth_shared_loop]: decreases clause + Source: 'src/loops.rs', lines 91:0-101:1 *) +unfold +let list_nth_shared_loop_loop_decreases (t : Type0) (ls : list_t t) (i : u32) : + nat = + admit () + +(** [loops::get_elem_mut]: decreases clause + Source: 'src/loops.rs', lines 103:0-117:1 *) +unfold +let get_elem_mut_loop_decreases (x : usize) (ls : list_t usize) : nat = + admit () + +(** [loops::get_elem_shared]: decreases clause + Source: 'src/loops.rs', lines 119:0-133:1 *) +unfold +let get_elem_shared_loop_decreases (x : usize) (ls : list_t usize) : nat = + admit () + +(** [loops::list_nth_mut_loop_with_id]: decreases clause + Source: 'src/loops.rs', lines 144:0-155:1 *) +unfold +let list_nth_mut_loop_with_id_loop_decreases (t : Type0) (i : u32) + (ls : list_t t) : nat = + admit () + +(** [loops::list_nth_shared_loop_with_id]: decreases clause + Source: 'src/loops.rs', lines 158:0-169:1 *) +unfold +let list_nth_shared_loop_with_id_loop_decreases (t : Type0) (i : u32) + (ls : list_t t) : nat = + admit () + +(** [loops::list_nth_mut_loop_pair]: decreases clause + Source: 'src/loops.rs', lines 174:0-195:1 *) +unfold +let list_nth_mut_loop_pair_loop_decreases (t : Type0) (ls0 : list_t t) + (ls1 : list_t t) (i : u32) : nat = + admit () + +(** [loops::list_nth_shared_loop_pair]: decreases clause + Source: 'src/loops.rs', lines 198:0-219:1 *) +unfold +let list_nth_shared_loop_pair_loop_decreases (t : Type0) (ls0 : list_t t) + (ls1 : list_t t) (i : u32) : nat = + admit () + +(** [loops::list_nth_mut_loop_pair_merge]: decreases clause + Source: 'src/loops.rs', lines 223:0-238:1 *) +unfold +let list_nth_mut_loop_pair_merge_loop_decreases (t : Type0) (ls0 : list_t t) + (ls1 : list_t t) (i : u32) : nat = + admit () + +(** [loops::list_nth_shared_loop_pair_merge]: decreases clause + Source: 'src/loops.rs', lines 241:0-256:1 *) +unfold +let list_nth_shared_loop_pair_merge_loop_decreases (t : Type0) (ls0 : list_t t) + (ls1 : list_t t) (i : u32) : nat = + admit () + +(** [loops::list_nth_mut_shared_loop_pair]: decreases clause + Source: 'src/loops.rs', lines 259:0-274:1 *) +unfold +let list_nth_mut_shared_loop_pair_loop_decreases (t : Type0) (ls0 : list_t t) + (ls1 : list_t t) (i : u32) : nat = + admit () + +(** [loops::list_nth_mut_shared_loop_pair_merge]: decreases clause + Source: 'src/loops.rs', lines 278:0-293:1 *) +unfold +let list_nth_mut_shared_loop_pair_merge_loop_decreases (t : Type0) + (ls0 : list_t t) (ls1 : list_t t) (i : u32) : nat = + admit () + +(** [loops::list_nth_shared_mut_loop_pair]: decreases clause + Source: 'src/loops.rs', lines 297:0-312:1 *) +unfold +let list_nth_shared_mut_loop_pair_loop_decreases (t : Type0) (ls0 : list_t t) + (ls1 : list_t t) (i : u32) : nat = + admit () + +(** [loops::list_nth_shared_mut_loop_pair_merge]: decreases clause + Source: 'src/loops.rs', lines 316:0-331:1 *) +unfold +let list_nth_shared_mut_loop_pair_merge_loop_decreases (t : Type0) + (ls0 : list_t t) (ls1 : list_t t) (i : u32) : nat = + admit () + diff --git a/tests/fstar-split/misc/Loops.Clauses.fst b/tests/fstar-split/misc/Loops.Clauses.fst new file mode 100644 index 00000000..75194437 --- /dev/null +++ b/tests/fstar-split/misc/Loops.Clauses.fst @@ -0,0 +1,107 @@ +(** [loops]: templates for the decreases clauses *) +module Loops.Clauses +open Primitives +open Loops.Types + +#set-options "--z3rlimit 50 --fuel 1 --ifuel 1" + +(** [loops::sum]: decreases clause *) +unfold let sum_loop_decreases (max : u32) (i : u32) (s : u32) : nat = + if i <= max then max - i else 0 + +(** [loops::sum_with_mut_borrows]: decreases clause *) +unfold +let sum_with_mut_borrows_loop_decreases (max : u32) (mi : u32) (ms : u32) : nat = + if max >= mi then max - mi else 0 + +(** [loops::sum_with_shared_borrows]: decreases clause *) +unfold +let sum_with_shared_borrows_loop_decreases (max : u32) (i : u32) (s : u32) : nat = + if max >= i then max - i else 0 + +(** [loops::clear]: decreases clause *) +unfold let clear_loop_decreases (v : alloc_vec_Vec u32) (i : usize) : nat = + if i <= List.Tot.length v then List.Tot.length v - i else 0 + +(** [loops::list_mem]: decreases clause *) +unfold let list_mem_loop_decreases (i : u32) (ls : list_t u32) : list_t u32 = + ls + +(** [loops::list_nth_mut_loop]: decreases clause *) +unfold +let list_nth_mut_loop_loop_decreases (t : Type0) (ls : list_t t) (i : u32) : nat = + i + +(** [loops::list_nth_shared_loop]: decreases clause *) +unfold +let list_nth_shared_loop_loop_decreases (t : Type0) (ls : list_t t) (i : u32) : list_t t = + ls + +(** [loops::get_elem_mut]: decreases clause *) +unfold +let get_elem_mut_loop_decreases (x : usize) (ls : list_t usize) : list_t usize = ls + +(** [loops::get_elem_shared]: decreases clause *) +unfold +let get_elem_shared_loop_decreases (x : usize) (ls : list_t usize) : list_t usize = + ls + +(** [loops::list_nth_mut_loop_with_id]: decreases clause *) +unfold +let list_nth_mut_loop_with_id_loop_decreases (t : Type0) (i : u32) (ls : list_t t) : + list_t t = + ls + +(** [loops::list_nth_shared_loop_with_id]: decreases clause *) +unfold +let list_nth_shared_loop_with_id_loop_decreases (t : Type0) (i : u32) + (ls : list_t t) : list_t t = + ls + +(** [loops::list_nth_mut_loop_pair]: decreases clause *) +unfold +let list_nth_mut_loop_pair_loop_decreases (t : Type0) (l : list_t t) (l0 : list_t t) + (i : u32) : nat = + i + +(** [loops::list_nth_shared_loop_pair]: decreases clause *) +unfold +let list_nth_shared_loop_pair_loop_decreases (t : Type0) (l : list_t t) + (l0 : list_t t) (i : u32) : list_t t = + l + +(** [loops::list_nth_mut_loop_pair_merge]: decreases clause *) +unfold +let list_nth_mut_loop_pair_merge_loop_decreases (t : Type0) (l : list_t t) + (l0 : list_t t) (i : u32) : nat = + i + +(** [loops::list_nth_shared_loop_pair_merge]: decreases clause *) +unfold +let list_nth_shared_loop_pair_merge_loop_decreases (t : Type0) (l : list_t t) + (l0 : list_t t) (i : u32) : list_t t = + l + +(** [loops::list_nth_mut_shared_loop_pair]: decreases clause *) +unfold +let list_nth_mut_shared_loop_pair_loop_decreases (t : Type0) (l : list_t t) + (l0 : list_t t) (i : u32) : list_t t = + l + +(** [loops::list_nth_mut_shared_loop_pair_merge]: decreases clause *) +unfold +let list_nth_mut_shared_loop_pair_merge_loop_decreases (t : Type0) (l : list_t t) + (l0 : list_t t) (i : u32) : list_t t = + l + +(** [loops::list_nth_shared_mut_loop_pair]: decreases clause *) +unfold +let list_nth_shared_mut_loop_pair_loop_decreases (t : Type0) (l : list_t t) + (l0 : list_t t) (i : u32) : list_t t = + l + +(** [loops::list_nth_shared_mut_loop_pair_merge]: decreases clause *) +unfold +let list_nth_shared_mut_loop_pair_merge_loop_decreases (t : Type0) (l : list_t t) + (l0 : list_t t) (i : u32) : list_t t = + l diff --git a/tests/fstar-split/misc/Loops.Funs.fst b/tests/fstar-split/misc/Loops.Funs.fst new file mode 100644 index 00000000..3168fddb --- /dev/null +++ b/tests/fstar-split/misc/Loops.Funs.fst @@ -0,0 +1,734 @@ +(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *) +(** [loops]: function definitions *) +module Loops.Funs +open Primitives +include Loops.Types +include Loops.Clauses + +#set-options "--z3rlimit 50 --fuel 1 --ifuel 1" + +(** [loops::sum]: loop 0: forward function + Source: 'src/loops.rs', lines 4:0-14:1 *) +let rec sum_loop + (max : u32) (i : u32) (s : u32) : + Tot (result u32) (decreases (sum_loop_decreases max i s)) + = + if i < max + then let* s1 = u32_add s i in let* i1 = u32_add i 1 in sum_loop max i1 s1 + else u32_mul s 2 + +(** [loops::sum]: forward function + Source: 'src/loops.rs', lines 4:0-4:27 *) +let sum (max : u32) : result u32 = + sum_loop max 0 0 + +(** [loops::sum_with_mut_borrows]: loop 0: forward function + Source: 'src/loops.rs', lines 19:0-31:1 *) +let rec sum_with_mut_borrows_loop + (max : u32) (mi : u32) (ms : u32) : + Tot (result u32) (decreases (sum_with_mut_borrows_loop_decreases max mi ms)) + = + if mi < max + then + let* ms1 = u32_add ms mi in + let* mi1 = u32_add mi 1 in + sum_with_mut_borrows_loop max mi1 ms1 + else u32_mul ms 2 + +(** [loops::sum_with_mut_borrows]: forward function + Source: 'src/loops.rs', lines 19:0-19:44 *) +let sum_with_mut_borrows (max : u32) : result u32 = + sum_with_mut_borrows_loop max 0 0 + +(** [loops::sum_with_shared_borrows]: loop 0: forward function + Source: 'src/loops.rs', lines 34:0-48:1 *) +let rec sum_with_shared_borrows_loop + (max : u32) (i : u32) (s : u32) : + Tot (result u32) (decreases (sum_with_shared_borrows_loop_decreases max i s)) + = + if i < max + then + let* i1 = u32_add i 1 in + let* s1 = u32_add s i1 in + sum_with_shared_borrows_loop max i1 s1 + else u32_mul s 2 + +(** [loops::sum_with_shared_borrows]: forward function + Source: 'src/loops.rs', lines 34:0-34:47 *) +let sum_with_shared_borrows (max : u32) : result u32 = + sum_with_shared_borrows_loop max 0 0 + +(** [loops::clear]: loop 0: merged forward/backward function + (there is a single backward function, and the forward function returns ()) + Source: 'src/loops.rs', lines 52:0-58:1 *) +let rec clear_loop + (v : alloc_vec_Vec u32) (i : usize) : + Tot (result (alloc_vec_Vec u32)) (decreases (clear_loop_decreases v i)) + = + let i1 = alloc_vec_Vec_len u32 v in + if i < i1 + then + let* i2 = usize_add i 1 in + let* v1 = + alloc_vec_Vec_index_mut_back u32 usize + (core_slice_index_SliceIndexUsizeSliceTInst u32) v i 0 in + clear_loop v1 i2 + else Return v + +(** [loops::clear]: merged forward/backward function + (there is a single backward function, and the forward function returns ()) + Source: 'src/loops.rs', lines 52:0-52:30 *) +let clear (v : alloc_vec_Vec u32) : result (alloc_vec_Vec u32) = + clear_loop v 0 + +(** [loops::list_mem]: loop 0: forward function + Source: 'src/loops.rs', lines 66:0-75:1 *) +let rec list_mem_loop + (x : u32) (ls : list_t u32) : + Tot (result bool) (decreases (list_mem_loop_decreases x ls)) + = + begin match ls with + | List_Cons y tl -> if y = x then Return true else list_mem_loop x tl + | List_Nil -> Return false + end + +(** [loops::list_mem]: forward function + Source: 'src/loops.rs', lines 66:0-66:52 *) +let list_mem (x : u32) (ls : list_t u32) : result bool = + list_mem_loop x ls + +(** [loops::list_nth_mut_loop]: loop 0: forward function + Source: 'src/loops.rs', lines 78:0-88:1 *) +let rec list_nth_mut_loop_loop + (t : Type0) (ls : list_t t) (i : u32) : + Tot (result t) (decreases (list_nth_mut_loop_loop_decreases t ls i)) + = + begin match ls with + | List_Cons x tl -> + if i = 0 + then Return x + else let* i1 = u32_sub i 1 in list_nth_mut_loop_loop t tl i1 + | List_Nil -> Fail Failure + end + +(** [loops::list_nth_mut_loop]: forward function + Source: 'src/loops.rs', lines 78:0-78:71 *) +let list_nth_mut_loop (t : Type0) (ls : list_t t) (i : u32) : result t = + list_nth_mut_loop_loop t ls i + +(** [loops::list_nth_mut_loop]: loop 0: backward function 0 + Source: 'src/loops.rs', lines 78:0-88:1 *) +let rec list_nth_mut_loop_loop_back + (t : Type0) (ls : list_t t) (i : u32) (ret : t) : + Tot (result (list_t t)) (decreases (list_nth_mut_loop_loop_decreases t ls i)) + = + begin match ls with + | List_Cons x tl -> + if i = 0 + then Return (List_Cons ret tl) + else + let* i1 = u32_sub i 1 in + let* tl1 = list_nth_mut_loop_loop_back t tl i1 ret in + Return (List_Cons x tl1) + | List_Nil -> Fail Failure + end + +(** [loops::list_nth_mut_loop]: backward function 0 + Source: 'src/loops.rs', lines 78:0-78:71 *) +let list_nth_mut_loop_back + (t : Type0) (ls : list_t t) (i : u32) (ret : t) : result (list_t t) = + list_nth_mut_loop_loop_back t ls i ret + +(** [loops::list_nth_shared_loop]: loop 0: forward function + Source: 'src/loops.rs', lines 91:0-101:1 *) +let rec list_nth_shared_loop_loop + (t : Type0) (ls : list_t t) (i : u32) : + Tot (result t) (decreases (list_nth_shared_loop_loop_decreases t ls i)) + = + begin match ls with + | List_Cons x tl -> + if i = 0 + then Return x + else let* i1 = u32_sub i 1 in list_nth_shared_loop_loop t tl i1 + | List_Nil -> Fail Failure + end + +(** [loops::list_nth_shared_loop]: forward function + Source: 'src/loops.rs', lines 91:0-91:66 *) +let list_nth_shared_loop (t : Type0) (ls : list_t t) (i : u32) : result t = + list_nth_shared_loop_loop t ls i + +(** [loops::get_elem_mut]: loop 0: forward function + Source: 'src/loops.rs', lines 103:0-117:1 *) +let rec get_elem_mut_loop + (x : usize) (ls : list_t usize) : + Tot (result usize) (decreases (get_elem_mut_loop_decreases x ls)) + = + begin match ls with + | List_Cons y tl -> if y = x then Return y else get_elem_mut_loop x tl + | List_Nil -> Fail Failure + end + +(** [loops::get_elem_mut]: forward function + Source: 'src/loops.rs', lines 103:0-103:73 *) +let get_elem_mut + (slots : alloc_vec_Vec (list_t usize)) (x : usize) : result usize = + let* l = + alloc_vec_Vec_index_mut (list_t usize) usize + (core_slice_index_SliceIndexUsizeSliceTInst (list_t usize)) slots 0 in + get_elem_mut_loop x l + +(** [loops::get_elem_mut]: loop 0: backward function 0 + Source: 'src/loops.rs', lines 103:0-117:1 *) +let rec get_elem_mut_loop_back + (x : usize) (ls : list_t usize) (ret : usize) : + Tot (result (list_t usize)) (decreases (get_elem_mut_loop_decreases x ls)) + = + begin match ls with + | List_Cons y tl -> + if y = x + then Return (List_Cons ret tl) + else let* tl1 = get_elem_mut_loop_back x tl ret in Return (List_Cons y tl1) + | List_Nil -> Fail Failure + end + +(** [loops::get_elem_mut]: backward function 0 + Source: 'src/loops.rs', lines 103:0-103:73 *) +let get_elem_mut_back + (slots : alloc_vec_Vec (list_t usize)) (x : usize) (ret : usize) : + result (alloc_vec_Vec (list_t usize)) + = + let* l = + alloc_vec_Vec_index_mut (list_t usize) usize + (core_slice_index_SliceIndexUsizeSliceTInst (list_t usize)) slots 0 in + let* l1 = get_elem_mut_loop_back x l ret in + alloc_vec_Vec_index_mut_back (list_t usize) usize + (core_slice_index_SliceIndexUsizeSliceTInst (list_t usize)) slots 0 l1 + +(** [loops::get_elem_shared]: loop 0: forward function + Source: 'src/loops.rs', lines 119:0-133:1 *) +let rec get_elem_shared_loop + (x : usize) (ls : list_t usize) : + Tot (result usize) (decreases (get_elem_shared_loop_decreases x ls)) + = + begin match ls with + | List_Cons y tl -> if y = x then Return y else get_elem_shared_loop x tl + | List_Nil -> Fail Failure + end + +(** [loops::get_elem_shared]: forward function + Source: 'src/loops.rs', lines 119:0-119:68 *) +let get_elem_shared + (slots : alloc_vec_Vec (list_t usize)) (x : usize) : result usize = + let* l = + alloc_vec_Vec_index (list_t usize) usize + (core_slice_index_SliceIndexUsizeSliceTInst (list_t usize)) slots 0 in + get_elem_shared_loop x l + +(** [loops::id_mut]: forward function + Source: 'src/loops.rs', lines 135:0-135:50 *) +let id_mut (t : Type0) (ls : list_t t) : result (list_t t) = + Return ls + +(** [loops::id_mut]: backward function 0 + Source: 'src/loops.rs', lines 135:0-135:50 *) +let id_mut_back + (t : Type0) (ls : list_t t) (ret : list_t t) : result (list_t t) = + Return ret + +(** [loops::id_shared]: forward function + Source: 'src/loops.rs', lines 139:0-139:45 *) +let id_shared (t : Type0) (ls : list_t t) : result (list_t t) = + Return ls + +(** [loops::list_nth_mut_loop_with_id]: loop 0: forward function + Source: 'src/loops.rs', lines 144:0-155:1 *) +let rec list_nth_mut_loop_with_id_loop + (t : Type0) (i : u32) (ls : list_t t) : + Tot (result t) (decreases (list_nth_mut_loop_with_id_loop_decreases t i ls)) + = + begin match ls with + | List_Cons x tl -> + if i = 0 + then Return x + else let* i1 = u32_sub i 1 in list_nth_mut_loop_with_id_loop t i1 tl + | List_Nil -> Fail Failure + end + +(** [loops::list_nth_mut_loop_with_id]: forward function + Source: 'src/loops.rs', lines 144:0-144:75 *) +let list_nth_mut_loop_with_id + (t : Type0) (ls : list_t t) (i : u32) : result t = + let* ls1 = id_mut t ls in list_nth_mut_loop_with_id_loop t i ls1 + +(** [loops::list_nth_mut_loop_with_id]: loop 0: backward function 0 + Source: 'src/loops.rs', lines 144:0-155:1 *) +let rec list_nth_mut_loop_with_id_loop_back + (t : Type0) (i : u32) (ls : list_t t) (ret : t) : + Tot (result (list_t t)) + (decreases (list_nth_mut_loop_with_id_loop_decreases t i ls)) + = + begin match ls with + | List_Cons x tl -> + if i = 0 + then Return (List_Cons ret tl) + else + let* i1 = u32_sub i 1 in + let* tl1 = list_nth_mut_loop_with_id_loop_back t i1 tl ret in + Return (List_Cons x tl1) + | List_Nil -> Fail Failure + end + +(** [loops::list_nth_mut_loop_with_id]: backward function 0 + Source: 'src/loops.rs', lines 144:0-144:75 *) +let list_nth_mut_loop_with_id_back + (t : Type0) (ls : list_t t) (i : u32) (ret : t) : result (list_t t) = + let* ls1 = id_mut t ls in + let* l = list_nth_mut_loop_with_id_loop_back t i ls1 ret in + id_mut_back t ls l + +(** [loops::list_nth_shared_loop_with_id]: loop 0: forward function + Source: 'src/loops.rs', lines 158:0-169:1 *) +let rec list_nth_shared_loop_with_id_loop + (t : Type0) (i : u32) (ls : list_t t) : + Tot (result t) + (decreases (list_nth_shared_loop_with_id_loop_decreases t i ls)) + = + begin match ls with + | List_Cons x tl -> + if i = 0 + then Return x + else let* i1 = u32_sub i 1 in list_nth_shared_loop_with_id_loop t i1 tl + | List_Nil -> Fail Failure + end + +(** [loops::list_nth_shared_loop_with_id]: forward function + Source: 'src/loops.rs', lines 158:0-158:70 *) +let list_nth_shared_loop_with_id + (t : Type0) (ls : list_t t) (i : u32) : result t = + let* ls1 = id_shared t ls in list_nth_shared_loop_with_id_loop t i ls1 + +(** [loops::list_nth_mut_loop_pair]: loop 0: forward function + Source: 'src/loops.rs', lines 174:0-195:1 *) +let rec list_nth_mut_loop_pair_loop + (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) : + Tot (result (t & t)) + (decreases (list_nth_mut_loop_pair_loop_decreases t ls0 ls1 i)) + = + begin match ls0 with + | List_Cons x0 tl0 -> + begin match ls1 with + | List_Cons x1 tl1 -> + if i = 0 + then Return (x0, x1) + else let* i1 = u32_sub i 1 in list_nth_mut_loop_pair_loop t tl0 tl1 i1 + | List_Nil -> Fail Failure + end + | List_Nil -> Fail Failure + end + +(** [loops::list_nth_mut_loop_pair]: forward function + Source: 'src/loops.rs', lines 174:0-178:27 *) +let list_nth_mut_loop_pair + (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) : result (t & t) = + list_nth_mut_loop_pair_loop t ls0 ls1 i + +(** [loops::list_nth_mut_loop_pair]: loop 0: backward function 0 + Source: 'src/loops.rs', lines 174:0-195:1 *) +let rec list_nth_mut_loop_pair_loop_back'a + (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) (ret : t) : + Tot (result (list_t t)) + (decreases (list_nth_mut_loop_pair_loop_decreases t ls0 ls1 i)) + = + begin match ls0 with + | List_Cons x0 tl0 -> + begin match ls1 with + | List_Cons _ tl1 -> + if i = 0 + then Return (List_Cons ret tl0) + else + let* i1 = u32_sub i 1 in + let* tl01 = list_nth_mut_loop_pair_loop_back'a t tl0 tl1 i1 ret in + Return (List_Cons x0 tl01) + | List_Nil -> Fail Failure + end + | List_Nil -> Fail Failure + end + +(** [loops::list_nth_mut_loop_pair]: backward function 0 + Source: 'src/loops.rs', lines 174:0-178:27 *) +let list_nth_mut_loop_pair_back'a + (t : Type0) (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 ls0 ls1 i ret + +(** [loops::list_nth_mut_loop_pair]: loop 0: backward function 1 + Source: 'src/loops.rs', lines 174:0-195:1 *) +let rec list_nth_mut_loop_pair_loop_back'b + (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) (ret : t) : + Tot (result (list_t t)) + (decreases (list_nth_mut_loop_pair_loop_decreases t ls0 ls1 i)) + = + begin match ls0 with + | List_Cons _ tl0 -> + begin match ls1 with + | List_Cons x1 tl1 -> + if i = 0 + then Return (List_Cons ret tl1) + else + let* i1 = u32_sub i 1 in + let* tl11 = list_nth_mut_loop_pair_loop_back'b t tl0 tl1 i1 ret in + Return (List_Cons x1 tl11) + | List_Nil -> Fail Failure + end + | List_Nil -> Fail Failure + end + +(** [loops::list_nth_mut_loop_pair]: backward function 1 + Source: 'src/loops.rs', lines 174:0-178:27 *) +let list_nth_mut_loop_pair_back'b + (t : Type0) (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 ls0 ls1 i ret + +(** [loops::list_nth_shared_loop_pair]: loop 0: forward function + Source: 'src/loops.rs', lines 198:0-219:1 *) +let rec list_nth_shared_loop_pair_loop + (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) : + Tot (result (t & t)) + (decreases (list_nth_shared_loop_pair_loop_decreases t ls0 ls1 i)) + = + begin match ls0 with + | List_Cons x0 tl0 -> + begin match ls1 with + | List_Cons x1 tl1 -> + if i = 0 + then Return (x0, x1) + else let* i1 = u32_sub i 1 in list_nth_shared_loop_pair_loop t tl0 tl1 i1 + | List_Nil -> Fail Failure + end + | List_Nil -> Fail Failure + end + +(** [loops::list_nth_shared_loop_pair]: forward function + Source: 'src/loops.rs', lines 198:0-202:19 *) +let list_nth_shared_loop_pair + (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) : result (t & t) = + list_nth_shared_loop_pair_loop t ls0 ls1 i + +(** [loops::list_nth_mut_loop_pair_merge]: loop 0: forward function + Source: 'src/loops.rs', lines 223:0-238:1 *) +let rec list_nth_mut_loop_pair_merge_loop + (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) : + Tot (result (t & t)) + (decreases (list_nth_mut_loop_pair_merge_loop_decreases t ls0 ls1 i)) + = + begin match ls0 with + | List_Cons x0 tl0 -> + begin match ls1 with + | List_Cons x1 tl1 -> + if i = 0 + then Return (x0, x1) + else + let* i1 = u32_sub i 1 in list_nth_mut_loop_pair_merge_loop t tl0 tl1 i1 + | List_Nil -> Fail Failure + end + | List_Nil -> Fail Failure + end + +(** [loops::list_nth_mut_loop_pair_merge]: forward function + Source: 'src/loops.rs', lines 223:0-227:27 *) +let list_nth_mut_loop_pair_merge + (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) : result (t & t) = + list_nth_mut_loop_pair_merge_loop t ls0 ls1 i + +(** [loops::list_nth_mut_loop_pair_merge]: loop 0: backward function 0 + Source: 'src/loops.rs', lines 223:0-238:1 *) +let rec list_nth_mut_loop_pair_merge_loop_back + (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) (ret : (t & t)) : + Tot (result ((list_t t) & (list_t t))) + (decreases (list_nth_mut_loop_pair_merge_loop_decreases t ls0 ls1 i)) + = + begin match ls0 with + | List_Cons x0 tl0 -> + begin match ls1 with + | List_Cons x1 tl1 -> + if i = 0 + then let (x, x2) = ret in Return (List_Cons x tl0, List_Cons x2 tl1) + else + let* i1 = u32_sub i 1 in + let* (tl01, tl11) = + list_nth_mut_loop_pair_merge_loop_back t tl0 tl1 i1 ret in + Return (List_Cons x0 tl01, List_Cons x1 tl11) + | List_Nil -> Fail Failure + end + | List_Nil -> Fail Failure + end + +(** [loops::list_nth_mut_loop_pair_merge]: backward function 0 + Source: 'src/loops.rs', lines 223:0-227:27 *) +let list_nth_mut_loop_pair_merge_back + (t : Type0) (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 ls0 ls1 i ret + +(** [loops::list_nth_shared_loop_pair_merge]: loop 0: forward function + Source: 'src/loops.rs', lines 241:0-256:1 *) +let rec list_nth_shared_loop_pair_merge_loop + (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) : + Tot (result (t & t)) + (decreases (list_nth_shared_loop_pair_merge_loop_decreases t ls0 ls1 i)) + = + begin match ls0 with + | List_Cons x0 tl0 -> + begin match ls1 with + | List_Cons x1 tl1 -> + if i = 0 + then Return (x0, x1) + else + let* i1 = u32_sub i 1 in + list_nth_shared_loop_pair_merge_loop t tl0 tl1 i1 + | List_Nil -> Fail Failure + end + | List_Nil -> Fail Failure + end + +(** [loops::list_nth_shared_loop_pair_merge]: forward function + Source: 'src/loops.rs', lines 241:0-245:19 *) +let list_nth_shared_loop_pair_merge + (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) : result (t & t) = + list_nth_shared_loop_pair_merge_loop t ls0 ls1 i + +(** [loops::list_nth_mut_shared_loop_pair]: loop 0: forward function + Source: 'src/loops.rs', lines 259:0-274:1 *) +let rec list_nth_mut_shared_loop_pair_loop + (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) : + Tot (result (t & t)) + (decreases (list_nth_mut_shared_loop_pair_loop_decreases t ls0 ls1 i)) + = + begin match ls0 with + | List_Cons x0 tl0 -> + begin match ls1 with + | List_Cons x1 tl1 -> + if i = 0 + then Return (x0, x1) + else + let* i1 = u32_sub i 1 in + list_nth_mut_shared_loop_pair_loop t tl0 tl1 i1 + | List_Nil -> Fail Failure + end + | List_Nil -> Fail Failure + end + +(** [loops::list_nth_mut_shared_loop_pair]: forward function + Source: 'src/loops.rs', lines 259:0-263:23 *) +let list_nth_mut_shared_loop_pair + (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) : result (t & t) = + list_nth_mut_shared_loop_pair_loop t ls0 ls1 i + +(** [loops::list_nth_mut_shared_loop_pair]: loop 0: backward function 0 + Source: 'src/loops.rs', lines 259:0-274:1 *) +let rec list_nth_mut_shared_loop_pair_loop_back + (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) (ret : t) : + Tot (result (list_t t)) + (decreases (list_nth_mut_shared_loop_pair_loop_decreases t ls0 ls1 i)) + = + begin match ls0 with + | List_Cons x0 tl0 -> + begin match ls1 with + | List_Cons _ tl1 -> + if i = 0 + then Return (List_Cons ret tl0) + else + let* i1 = u32_sub i 1 in + let* tl01 = list_nth_mut_shared_loop_pair_loop_back t tl0 tl1 i1 ret in + Return (List_Cons x0 tl01) + | List_Nil -> Fail Failure + end + | List_Nil -> Fail Failure + end + +(** [loops::list_nth_mut_shared_loop_pair]: backward function 0 + Source: 'src/loops.rs', lines 259:0-263:23 *) +let list_nth_mut_shared_loop_pair_back + (t : Type0) (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 ls0 ls1 i ret + +(** [loops::list_nth_mut_shared_loop_pair_merge]: loop 0: forward function + Source: 'src/loops.rs', lines 278:0-293:1 *) +let rec list_nth_mut_shared_loop_pair_merge_loop + (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) : + Tot (result (t & t)) + (decreases (list_nth_mut_shared_loop_pair_merge_loop_decreases t ls0 ls1 i)) + = + begin match ls0 with + | List_Cons x0 tl0 -> + begin match ls1 with + | List_Cons x1 tl1 -> + if i = 0 + then Return (x0, x1) + else + let* i1 = u32_sub i 1 in + list_nth_mut_shared_loop_pair_merge_loop t tl0 tl1 i1 + | List_Nil -> Fail Failure + end + | List_Nil -> Fail Failure + end + +(** [loops::list_nth_mut_shared_loop_pair_merge]: forward function + Source: 'src/loops.rs', lines 278:0-282:23 *) +let list_nth_mut_shared_loop_pair_merge + (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) : result (t & t) = + list_nth_mut_shared_loop_pair_merge_loop t 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 *) +let rec list_nth_mut_shared_loop_pair_merge_loop_back + (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) (ret : t) : + Tot (result (list_t t)) + (decreases (list_nth_mut_shared_loop_pair_merge_loop_decreases t ls0 ls1 i)) + = + begin match ls0 with + | List_Cons x0 tl0 -> + begin match ls1 with + | List_Cons _ tl1 -> + if i = 0 + then Return (List_Cons ret tl0) + else + let* i1 = u32_sub i 1 in + let* tl01 = + list_nth_mut_shared_loop_pair_merge_loop_back t tl0 tl1 i1 ret in + Return (List_Cons x0 tl01) + | List_Nil -> Fail Failure + end + | List_Nil -> Fail Failure + end + +(** [loops::list_nth_mut_shared_loop_pair_merge]: backward function 0 + Source: 'src/loops.rs', lines 278:0-282:23 *) +let list_nth_mut_shared_loop_pair_merge_back + (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) (ret : t) : + result (list_t t) + = + list_nth_mut_shared_loop_pair_merge_loop_back t ls0 ls1 i ret + +(** [loops::list_nth_shared_mut_loop_pair]: loop 0: forward function + Source: 'src/loops.rs', lines 297:0-312:1 *) +let rec list_nth_shared_mut_loop_pair_loop + (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) : + Tot (result (t & t)) + (decreases (list_nth_shared_mut_loop_pair_loop_decreases t ls0 ls1 i)) + = + begin match ls0 with + | List_Cons x0 tl0 -> + begin match ls1 with + | List_Cons x1 tl1 -> + if i = 0 + then Return (x0, x1) + else + let* i1 = u32_sub i 1 in + list_nth_shared_mut_loop_pair_loop t tl0 tl1 i1 + | List_Nil -> Fail Failure + end + | List_Nil -> Fail Failure + end + +(** [loops::list_nth_shared_mut_loop_pair]: forward function + Source: 'src/loops.rs', lines 297:0-301:23 *) +let list_nth_shared_mut_loop_pair + (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) : result (t & t) = + list_nth_shared_mut_loop_pair_loop t ls0 ls1 i + +(** [loops::list_nth_shared_mut_loop_pair]: loop 0: backward function 1 + Source: 'src/loops.rs', lines 297:0-312:1 *) +let rec list_nth_shared_mut_loop_pair_loop_back + (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) (ret : t) : + Tot (result (list_t t)) + (decreases (list_nth_shared_mut_loop_pair_loop_decreases t ls0 ls1 i)) + = + begin match ls0 with + | List_Cons _ tl0 -> + begin match ls1 with + | List_Cons x1 tl1 -> + if i = 0 + then Return (List_Cons ret tl1) + else + let* i1 = u32_sub i 1 in + let* tl11 = list_nth_shared_mut_loop_pair_loop_back t tl0 tl1 i1 ret in + Return (List_Cons x1 tl11) + | List_Nil -> Fail Failure + end + | List_Nil -> Fail Failure + end + +(** [loops::list_nth_shared_mut_loop_pair]: backward function 1 + Source: 'src/loops.rs', lines 297:0-301:23 *) +let list_nth_shared_mut_loop_pair_back + (t : Type0) (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 ls0 ls1 i ret + +(** [loops::list_nth_shared_mut_loop_pair_merge]: loop 0: forward function + Source: 'src/loops.rs', lines 316:0-331:1 *) +let rec list_nth_shared_mut_loop_pair_merge_loop + (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) : + Tot (result (t & t)) + (decreases (list_nth_shared_mut_loop_pair_merge_loop_decreases t ls0 ls1 i)) + = + begin match ls0 with + | List_Cons x0 tl0 -> + begin match ls1 with + | List_Cons x1 tl1 -> + if i = 0 + then Return (x0, x1) + else + let* i1 = u32_sub i 1 in + list_nth_shared_mut_loop_pair_merge_loop t tl0 tl1 i1 + | List_Nil -> Fail Failure + end + | List_Nil -> Fail Failure + end + +(** [loops::list_nth_shared_mut_loop_pair_merge]: forward function + Source: 'src/loops.rs', lines 316:0-320:23 *) +let list_nth_shared_mut_loop_pair_merge + (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) : result (t & t) = + list_nth_shared_mut_loop_pair_merge_loop t 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 *) +let rec list_nth_shared_mut_loop_pair_merge_loop_back + (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) (ret : t) : + Tot (result (list_t t)) + (decreases (list_nth_shared_mut_loop_pair_merge_loop_decreases t ls0 ls1 i)) + = + begin match ls0 with + | List_Cons _ tl0 -> + begin match ls1 with + | List_Cons x1 tl1 -> + if i = 0 + then Return (List_Cons ret tl1) + else + let* i1 = u32_sub i 1 in + let* tl11 = + list_nth_shared_mut_loop_pair_merge_loop_back t tl0 tl1 i1 ret in + Return (List_Cons x1 tl11) + | List_Nil -> Fail Failure + end + | List_Nil -> Fail Failure + end + +(** [loops::list_nth_shared_mut_loop_pair_merge]: backward function 0 + Source: 'src/loops.rs', lines 316:0-320:23 *) +let list_nth_shared_mut_loop_pair_merge_back + (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) (ret : t) : + result (list_t t) + = + list_nth_shared_mut_loop_pair_merge_loop_back t ls0 ls1 i ret + diff --git a/tests/fstar-split/misc/Loops.Types.fst b/tests/fstar-split/misc/Loops.Types.fst new file mode 100644 index 00000000..8aa38290 --- /dev/null +++ b/tests/fstar-split/misc/Loops.Types.fst @@ -0,0 +1,13 @@ +(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *) +(** [loops]: type definitions *) +module Loops.Types +open Primitives + +#set-options "--z3rlimit 50 --fuel 1 --ifuel 1" + +(** [loops::List] + Source: 'src/loops.rs', lines 60:0-60:16 *) +type list_t (t : Type0) = +| List_Cons : t -> list_t t -> list_t t +| List_Nil : list_t t + diff --git a/tests/fstar-split/misc/Makefile b/tests/fstar-split/misc/Makefile new file mode 100644 index 00000000..fa7d1f36 --- /dev/null +++ b/tests/fstar-split/misc/Makefile @@ -0,0 +1,49 @@ +# This file was automatically generated - modify ../Makefile.template instead +INCLUDE_DIRS = . + +FSTAR_INCLUDES = $(addprefix --include ,$(INCLUDE_DIRS)) + +FSTAR_HINTS ?= --use_hints --use_hint_hashes --record_hints + +FSTAR_OPTIONS = $(FSTAR_HINTS) \ + --cache_checked_modules $(FSTAR_INCLUDES) --cmi \ + --warn_error '+241@247+285-274' \ + +FSTAR_EXE ?= fstar.exe +FSTAR_NO_FLAGS = $(FSTAR_EXE) --already_cached 'Prims FStar LowStar Steel' --odir obj --cache_dir obj + +FSTAR = $(FSTAR_NO_FLAGS) $(FSTAR_OPTIONS) + +# The F* roots are used to compute the dependency graph, and generate the .depend file +FSTAR_ROOTS ?= $(wildcard *.fst *.fsti) + +# Build all the files +all: $(addprefix obj/,$(addsuffix .checked,$(FSTAR_ROOTS))) + +# This is the right way to ensure the .depend file always gets re-built. +ifeq (,$(filter %-in,$(MAKECMDGOALS))) +ifndef NODEPEND +ifndef MAKE_RESTARTS +.depend: .FORCE + $(FSTAR_NO_FLAGS) --dep full $(notdir $(FSTAR_ROOTS)) > $@ + +.PHONY: .FORCE +.FORCE: +endif +endif + +include .depend +endif + +# For the interactive mode +%.fst-in %.fsti-in: + @echo $(FSTAR_OPTIONS) + +# Generete the .checked files in batch mode +%.checked: + $(FSTAR) $(FSTAR_OPTIONS) $< && \ + touch -c $@ + +.PHONY: clean +clean: + rm -f obj/* diff --git a/tests/fstar-split/misc/NoNestedBorrows.fst b/tests/fstar-split/misc/NoNestedBorrows.fst new file mode 100644 index 00000000..53e1d300 --- /dev/null +++ b/tests/fstar-split/misc/NoNestedBorrows.fst @@ -0,0 +1,618 @@ +(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *) +(** [no_nested_borrows] *) +module NoNestedBorrows +open Primitives + +#set-options "--z3rlimit 50 --fuel 1 --ifuel 1" + +(** [no_nested_borrows::Pair] + Source: 'src/no_nested_borrows.rs', lines 4:0-4:23 *) +type pair_t (t1 t2 : Type0) = { x : t1; y : t2; } + +(** [no_nested_borrows::List] + Source: 'src/no_nested_borrows.rs', lines 9:0-9:16 *) +type list_t (t : Type0) = +| List_Cons : t -> list_t t -> list_t t +| List_Nil : list_t t + +(** [no_nested_borrows::One] + Source: 'src/no_nested_borrows.rs', lines 20:0-20:16 *) +type one_t (t1 : Type0) = | One_One : t1 -> one_t t1 + +(** [no_nested_borrows::EmptyEnum] + Source: 'src/no_nested_borrows.rs', lines 26:0-26:18 *) +type emptyEnum_t = | EmptyEnum_Empty : emptyEnum_t + +(** [no_nested_borrows::Enum] + Source: 'src/no_nested_borrows.rs', lines 32:0-32:13 *) +type enum_t = | Enum_Variant1 : enum_t | Enum_Variant2 : enum_t + +(** [no_nested_borrows::EmptyStruct] + Source: 'src/no_nested_borrows.rs', lines 39:0-39:22 *) +type emptyStruct_t = unit + +(** [no_nested_borrows::Sum] + Source: 'src/no_nested_borrows.rs', lines 41:0-41:20 *) +type sum_t (t1 t2 : Type0) = +| Sum_Left : t1 -> sum_t t1 t2 +| Sum_Right : t2 -> sum_t t1 t2 + +(** [no_nested_borrows::neg_test]: forward function + Source: 'src/no_nested_borrows.rs', lines 48:0-48:30 *) +let neg_test (x : i32) : result i32 = + i32_neg x + +(** [no_nested_borrows::add_u32]: forward function + Source: 'src/no_nested_borrows.rs', lines 54:0-54:37 *) +let add_u32 (x : u32) (y : u32) : result u32 = + u32_add x y + +(** [no_nested_borrows::subs_u32]: forward function + Source: 'src/no_nested_borrows.rs', lines 60:0-60:38 *) +let subs_u32 (x : u32) (y : u32) : result u32 = + u32_sub x y + +(** [no_nested_borrows::div_u32]: forward function + Source: 'src/no_nested_borrows.rs', lines 66:0-66:37 *) +let div_u32 (x : u32) (y : u32) : result u32 = + u32_div x y + +(** [no_nested_borrows::div_u32_const]: forward function + Source: 'src/no_nested_borrows.rs', lines 73:0-73:35 *) +let div_u32_const (x : u32) : result u32 = + u32_div x 2 + +(** [no_nested_borrows::rem_u32]: forward function + Source: 'src/no_nested_borrows.rs', lines 78:0-78:37 *) +let rem_u32 (x : u32) (y : u32) : result u32 = + u32_rem x y + +(** [no_nested_borrows::mul_u32]: forward function + Source: 'src/no_nested_borrows.rs', lines 82:0-82:37 *) +let mul_u32 (x : u32) (y : u32) : result u32 = + u32_mul x y + +(** [no_nested_borrows::add_i32]: forward function + Source: 'src/no_nested_borrows.rs', lines 88:0-88:37 *) +let add_i32 (x : i32) (y : i32) : result i32 = + i32_add x y + +(** [no_nested_borrows::subs_i32]: forward function + Source: 'src/no_nested_borrows.rs', lines 92:0-92:38 *) +let subs_i32 (x : i32) (y : i32) : result i32 = + i32_sub x y + +(** [no_nested_borrows::div_i32]: forward function + Source: 'src/no_nested_borrows.rs', lines 96:0-96:37 *) +let div_i32 (x : i32) (y : i32) : result i32 = + i32_div x y + +(** [no_nested_borrows::div_i32_const]: forward function + Source: 'src/no_nested_borrows.rs', lines 100:0-100:35 *) +let div_i32_const (x : i32) : result i32 = + i32_div x 2 + +(** [no_nested_borrows::rem_i32]: forward function + Source: 'src/no_nested_borrows.rs', lines 104:0-104:37 *) +let rem_i32 (x : i32) (y : i32) : result i32 = + i32_rem x y + +(** [no_nested_borrows::mul_i32]: forward function + Source: 'src/no_nested_borrows.rs', lines 108:0-108:37 *) +let mul_i32 (x : i32) (y : i32) : result i32 = + i32_mul x y + +(** [no_nested_borrows::mix_arith_u32]: forward function + Source: 'src/no_nested_borrows.rs', lines 112:0-112:51 *) +let mix_arith_u32 (x : u32) (y : u32) (z : u32) : result u32 = + let* i = u32_add x y in + let* i1 = u32_div x y in + let* i2 = u32_mul i i1 in + let* i3 = u32_rem z y in + let* i4 = u32_sub x i3 in + let* i5 = u32_add i2 i4 in + let* i6 = u32_add x y in + let* i7 = u32_add i6 z in + u32_rem i5 i7 + +(** [no_nested_borrows::mix_arith_i32]: forward function + Source: 'src/no_nested_borrows.rs', lines 116:0-116:51 *) +let mix_arith_i32 (x : i32) (y : i32) (z : i32) : result i32 = + let* i = i32_add x y in + let* i1 = i32_div x y in + let* i2 = i32_mul i i1 in + let* i3 = i32_rem z y in + let* i4 = i32_sub x i3 in + let* i5 = i32_add i2 i4 in + let* i6 = i32_add x y in + let* i7 = i32_add i6 z in + i32_rem i5 i7 + +(** [no_nested_borrows::CONST0] + Source: 'src/no_nested_borrows.rs', lines 125:0-125:23 *) +let const0_body : result usize = usize_add 1 1 +let const0_c : usize = eval_global const0_body + +(** [no_nested_borrows::CONST1] + Source: 'src/no_nested_borrows.rs', lines 126:0-126:23 *) +let const1_body : result usize = usize_mul 2 2 +let const1_c : usize = eval_global const1_body + +(** [no_nested_borrows::cast_u32_to_i32]: forward function + Source: 'src/no_nested_borrows.rs', lines 128:0-128:37 *) +let cast_u32_to_i32 (x : u32) : result i32 = + scalar_cast U32 I32 x + +(** [no_nested_borrows::cast_bool_to_i32]: forward function + Source: 'src/no_nested_borrows.rs', lines 132:0-132:39 *) +let cast_bool_to_i32 (x : bool) : result i32 = + scalar_cast_bool I32 x + +(** [no_nested_borrows::cast_bool_to_bool]: forward function + Source: 'src/no_nested_borrows.rs', lines 137:0-137:41 *) +let cast_bool_to_bool (x : bool) : result bool = + Return x + +(** [no_nested_borrows::test2]: forward function + Source: 'src/no_nested_borrows.rs', lines 142:0-142:14 *) +let test2 : result unit = + let* _ = u32_add 23 44 in Return () + +(** Unit test for [no_nested_borrows::test2] *) +let _ = assert_norm (test2 = Return ()) + +(** [no_nested_borrows::get_max]: forward function + Source: 'src/no_nested_borrows.rs', lines 154:0-154:37 *) +let get_max (x : u32) (y : u32) : result u32 = + if x >= y then Return x else Return y + +(** [no_nested_borrows::test3]: forward function + Source: 'src/no_nested_borrows.rs', lines 162:0-162:14 *) +let test3 : result unit = + let* x = get_max 4 3 in + let* y = get_max 10 11 in + let* z = u32_add x y in + if not (z = 15) then Fail Failure else Return () + +(** Unit test for [no_nested_borrows::test3] *) +let _ = assert_norm (test3 = Return ()) + +(** [no_nested_borrows::test_neg1]: forward function + Source: 'src/no_nested_borrows.rs', lines 169:0-169:18 *) +let test_neg1 : result unit = + let* y = i32_neg 3 in if not (y = -3) then Fail Failure else Return () + +(** Unit test for [no_nested_borrows::test_neg1] *) +let _ = assert_norm (test_neg1 = Return ()) + +(** [no_nested_borrows::refs_test1]: forward function + Source: 'src/no_nested_borrows.rs', lines 176:0-176:19 *) +let refs_test1 : result unit = + if not (1 = 1) then Fail Failure else Return () + +(** Unit test for [no_nested_borrows::refs_test1] *) +let _ = assert_norm (refs_test1 = Return ()) + +(** [no_nested_borrows::refs_test2]: forward function + Source: 'src/no_nested_borrows.rs', lines 187:0-187:19 *) +let refs_test2 : result unit = + if not (2 = 2) + then Fail Failure + else + if not (0 = 0) + then Fail Failure + else + if not (2 = 2) + then Fail Failure + else if not (2 = 2) then Fail Failure else Return () + +(** Unit test for [no_nested_borrows::refs_test2] *) +let _ = assert_norm (refs_test2 = Return ()) + +(** [no_nested_borrows::test_list1]: forward function + Source: 'src/no_nested_borrows.rs', lines 203:0-203:19 *) +let test_list1 : result unit = + Return () + +(** Unit test for [no_nested_borrows::test_list1] *) +let _ = assert_norm (test_list1 = Return ()) + +(** [no_nested_borrows::test_box1]: forward function + Source: 'src/no_nested_borrows.rs', lines 208:0-208:18 *) +let test_box1 : result unit = + let* b = alloc_boxed_Box_deref_mut_back i32 0 1 in + let* x = alloc_boxed_Box_deref i32 b in + if not (x = 1) then Fail Failure else Return () + +(** Unit test for [no_nested_borrows::test_box1] *) +let _ = assert_norm (test_box1 = Return ()) + +(** [no_nested_borrows::copy_int]: forward function + Source: 'src/no_nested_borrows.rs', lines 218:0-218:30 *) +let copy_int (x : i32) : result i32 = + Return x + +(** [no_nested_borrows::test_unreachable]: forward function + Source: 'src/no_nested_borrows.rs', lines 224:0-224:32 *) +let test_unreachable (b : bool) : result unit = + if b then Fail Failure else Return () + +(** [no_nested_borrows::test_panic]: forward function + Source: 'src/no_nested_borrows.rs', lines 232:0-232:26 *) +let test_panic (b : bool) : result unit = + if b then Fail Failure else Return () + +(** [no_nested_borrows::test_copy_int]: forward function + Source: 'src/no_nested_borrows.rs', lines 239:0-239:22 *) +let test_copy_int : result unit = + let* y = copy_int 0 in if not (0 = y) then Fail Failure else Return () + +(** Unit test for [no_nested_borrows::test_copy_int] *) +let _ = assert_norm (test_copy_int = Return ()) + +(** [no_nested_borrows::is_cons]: forward function + Source: 'src/no_nested_borrows.rs', lines 246:0-246:38 *) +let is_cons (t : Type0) (l : list_t t) : result bool = + begin match l with + | List_Cons _ _ -> Return true + | List_Nil -> Return false + end + +(** [no_nested_borrows::test_is_cons]: forward function + Source: 'src/no_nested_borrows.rs', lines 253:0-253:21 *) +let test_is_cons : result unit = + let* b = is_cons i32 (List_Cons 0 List_Nil) in + if not b then Fail Failure else Return () + +(** Unit test for [no_nested_borrows::test_is_cons] *) +let _ = assert_norm (test_is_cons = Return ()) + +(** [no_nested_borrows::split_list]: forward function + Source: 'src/no_nested_borrows.rs', lines 259:0-259:48 *) +let split_list (t : Type0) (l : list_t t) : result (t & (list_t t)) = + begin match l with + | List_Cons hd tl -> Return (hd, tl) + | List_Nil -> Fail Failure + end + +(** [no_nested_borrows::test_split_list]: forward function + Source: 'src/no_nested_borrows.rs', lines 267:0-267:24 *) +let test_split_list : result unit = + let* p = split_list i32 (List_Cons 0 List_Nil) in + let (hd, _) = p in + if not (hd = 0) then Fail Failure else Return () + +(** Unit test for [no_nested_borrows::test_split_list] *) +let _ = assert_norm (test_split_list = Return ()) + +(** [no_nested_borrows::choose]: forward function + Source: 'src/no_nested_borrows.rs', lines 274:0-274:70 *) +let choose (t : Type0) (b : bool) (x : t) (y : t) : result t = + if b then Return x else Return y + +(** [no_nested_borrows::choose]: backward function 0 + Source: 'src/no_nested_borrows.rs', lines 274:0-274:70 *) +let choose_back + (t : Type0) (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 + Source: 'src/no_nested_borrows.rs', lines 282:0-282:20 *) +let choose_test : result unit = + let* z = choose i32 true 0 0 in + let* z1 = i32_add z 1 in + if not (z1 = 1) + then Fail Failure + else + let* (x, y) = choose_back i32 true 0 0 z1 in + if not (x = 1) + then Fail Failure + else if not (y = 0) then Fail Failure else Return () + +(** Unit test for [no_nested_borrows::choose_test] *) +let _ = assert_norm (choose_test = Return ()) + +(** [no_nested_borrows::test_char]: forward function + Source: 'src/no_nested_borrows.rs', lines 294:0-294:26 *) +let test_char : result char = + Return 'a' + +(** [no_nested_borrows::Tree] + Source: 'src/no_nested_borrows.rs', lines 299:0-299:16 *) +type tree_t (t : Type0) = +| Tree_Leaf : t -> tree_t t +| Tree_Node : t -> nodeElem_t t -> tree_t t -> tree_t t + +(** [no_nested_borrows::NodeElem] + Source: 'src/no_nested_borrows.rs', lines 304:0-304:20 *) +and nodeElem_t (t : Type0) = +| NodeElem_Cons : tree_t t -> nodeElem_t t -> nodeElem_t t +| NodeElem_Nil : nodeElem_t t + +(** [no_nested_borrows::list_length]: forward function + Source: 'src/no_nested_borrows.rs', lines 339:0-339:48 *) +let rec list_length (t : Type0) (l : list_t t) : result u32 = + begin match l with + | List_Cons _ l1 -> let* i = list_length t l1 in u32_add 1 i + | List_Nil -> Return 0 + end + +(** [no_nested_borrows::list_nth_shared]: forward function + Source: 'src/no_nested_borrows.rs', lines 347:0-347:62 *) +let rec list_nth_shared (t : Type0) (l : list_t t) (i : u32) : result t = + begin match l with + | List_Cons x tl -> + if i = 0 + then Return x + else let* i1 = u32_sub i 1 in list_nth_shared t tl i1 + | List_Nil -> Fail Failure + end + +(** [no_nested_borrows::list_nth_mut]: forward function + Source: 'src/no_nested_borrows.rs', lines 363:0-363:67 *) +let rec list_nth_mut (t : Type0) (l : list_t t) (i : u32) : result t = + begin match l with + | List_Cons x tl -> + if i = 0 then Return x else let* i1 = u32_sub i 1 in list_nth_mut t tl i1 + | 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 *) +let rec list_nth_mut_back + (t : Type0) (l : list_t t) (i : u32) (ret : t) : result (list_t t) = + begin match l with + | List_Cons x tl -> + if i = 0 + then Return (List_Cons ret tl) + else + let* i1 = u32_sub i 1 in + let* tl1 = list_nth_mut_back t tl i1 ret in + Return (List_Cons x tl1) + | List_Nil -> Fail Failure + end + +(** [no_nested_borrows::list_rev_aux]: forward function + Source: 'src/no_nested_borrows.rs', lines 379:0-379:63 *) +let rec list_rev_aux + (t : Type0) (li : list_t t) (lo : list_t t) : result (list_t t) = + begin match li with + | List_Cons hd tl -> list_rev_aux t tl (List_Cons hd lo) + | List_Nil -> Return lo + end + +(** [no_nested_borrows::list_rev]: merged forward/backward function + (there is a single backward function, and the forward function returns ()) + Source: 'src/no_nested_borrows.rs', lines 393:0-393:42 *) +let list_rev (t : Type0) (l : list_t t) : result (list_t t) = + 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 + Source: 'src/no_nested_borrows.rs', lines 398:0-398:28 *) +let test_list_functions : result unit = + let l = List_Cons 2 List_Nil in + let l1 = List_Cons 1 l in + let* i = list_length i32 (List_Cons 0 l1) in + if not (i = 3) + then Fail Failure + else + let* i1 = list_nth_shared i32 (List_Cons 0 l1) 0 in + if not (i1 = 0) + then Fail Failure + else + let* i2 = list_nth_shared i32 (List_Cons 0 l1) 1 in + if not (i2 = 1) + then Fail Failure + else + let* i3 = list_nth_shared i32 (List_Cons 0 l1) 2 in + if not (i3 = 2) + then Fail Failure + else + let* ls = list_nth_mut_back i32 (List_Cons 0 l1) 1 3 in + let* i4 = list_nth_shared i32 ls 0 in + if not (i4 = 0) + then Fail Failure + else + let* i5 = list_nth_shared i32 ls 1 in + if not (i5 = 3) + then Fail Failure + else + let* i6 = list_nth_shared i32 ls 2 in + if not (i6 = 2) then Fail Failure else Return () + +(** Unit test for [no_nested_borrows::test_list_functions] *) +let _ = assert_norm (test_list_functions = Return ()) + +(** [no_nested_borrows::id_mut_pair1]: forward function + Source: 'src/no_nested_borrows.rs', lines 414:0-414:89 *) +let id_mut_pair1 (t1 t2 : Type0) (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 *) +let id_mut_pair1_back + (t1 t2 : Type0) (x : t1) (y : t2) (ret : (t1 & t2)) : result (t1 & t2) = + let (x1, x2) = ret in Return (x1, x2) + +(** [no_nested_borrows::id_mut_pair2]: forward function + Source: 'src/no_nested_borrows.rs', lines 418:0-418:88 *) +let id_mut_pair2 (t1 t2 : Type0) (p : (t1 & t2)) : result (t1 & t2) = + let (x, x1) = p in Return (x, x1) + +(** [no_nested_borrows::id_mut_pair2]: backward function 0 + Source: 'src/no_nested_borrows.rs', lines 418:0-418:88 *) +let id_mut_pair2_back + (t1 t2 : Type0) (p : (t1 & t2)) (ret : (t1 & t2)) : result (t1 & t2) = + let (x, x1) = ret in Return (x, x1) + +(** [no_nested_borrows::id_mut_pair3]: forward function + Source: 'src/no_nested_borrows.rs', lines 422:0-422:93 *) +let id_mut_pair3 (t1 t2 : Type0) (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 *) +let id_mut_pair3_back'a + (t1 t2 : Type0) (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 *) +let id_mut_pair3_back'b + (t1 t2 : Type0) (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 *) +let id_mut_pair4 (t1 t2 : Type0) (p : (t1 & t2)) : result (t1 & t2) = + let (x, x1) = p in Return (x, x1) + +(** [no_nested_borrows::id_mut_pair4]: backward function 0 + Source: 'src/no_nested_borrows.rs', lines 426:0-426:92 *) +let id_mut_pair4_back'a + (t1 t2 : Type0) (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 *) +let id_mut_pair4_back'b + (t1 t2 : Type0) (p : (t1 & t2)) (ret : t2) : result t2 = + Return ret + +(** [no_nested_borrows::StructWithTuple] + Source: 'src/no_nested_borrows.rs', lines 433:0-433:34 *) +type structWithTuple_t (t1 t2 : Type0) = { p : (t1 & t2); } + +(** [no_nested_borrows::new_tuple1]: forward function + Source: 'src/no_nested_borrows.rs', lines 437:0-437:48 *) +let new_tuple1 : result (structWithTuple_t u32 u32) = + Return { p = (1, 2) } + +(** [no_nested_borrows::new_tuple2]: forward function + Source: 'src/no_nested_borrows.rs', lines 441:0-441:48 *) +let new_tuple2 : result (structWithTuple_t i16 i16) = + Return { p = (1, 2) } + +(** [no_nested_borrows::new_tuple3]: forward function + Source: 'src/no_nested_borrows.rs', lines 445:0-445:48 *) +let new_tuple3 : result (structWithTuple_t u64 i64) = + Return { p = (1, 2) } + +(** [no_nested_borrows::StructWithPair] + Source: 'src/no_nested_borrows.rs', lines 450:0-450:33 *) +type structWithPair_t (t1 t2 : Type0) = { p : pair_t t1 t2; } + +(** [no_nested_borrows::new_pair1]: forward function + Source: 'src/no_nested_borrows.rs', lines 454:0-454:46 *) +let new_pair1 : result (structWithPair_t u32 u32) = + Return { p = { x = 1; y = 2 } } + +(** [no_nested_borrows::test_constants]: forward function + Source: 'src/no_nested_borrows.rs', lines 462:0-462:23 *) +let test_constants : result unit = + let* swt = new_tuple1 in + let (i, _) = swt.p in + if not (i = 1) + then Fail Failure + else + let* swt1 = new_tuple2 in + let (i1, _) = swt1.p in + if not (i1 = 1) + then Fail Failure + else + let* swt2 = new_tuple3 in + let (i2, _) = swt2.p in + if not (i2 = 1) + then Fail Failure + else + let* swp = new_pair1 in + if not (swp.p.x = 1) then Fail Failure else Return () + +(** Unit test for [no_nested_borrows::test_constants] *) +let _ = assert_norm (test_constants = Return ()) + +(** [no_nested_borrows::test_weird_borrows1]: forward function + Source: 'src/no_nested_borrows.rs', lines 471:0-471:28 *) +let test_weird_borrows1 : result unit = + Return () + +(** Unit test for [no_nested_borrows::test_weird_borrows1] *) +let _ = assert_norm (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 ()) + Source: 'src/no_nested_borrows.rs', lines 481:0-481:37 *) +let test_mem_replace (px : u32) : result u32 = + let y = core_mem_replace u32 px 1 in + if not (y = 0) then Fail Failure else Return 2 + +(** [no_nested_borrows::test_shared_borrow_bool1]: forward function + Source: 'src/no_nested_borrows.rs', lines 488:0-488:47 *) +let test_shared_borrow_bool1 (b : bool) : result u32 = + if b then Return 0 else Return 1 + +(** [no_nested_borrows::test_shared_borrow_bool2]: forward function + Source: 'src/no_nested_borrows.rs', lines 501:0-501:40 *) +let test_shared_borrow_bool2 : result u32 = + Return 0 + +(** [no_nested_borrows::test_shared_borrow_enum1]: forward function + Source: 'src/no_nested_borrows.rs', lines 516:0-516:52 *) +let test_shared_borrow_enum1 (l : list_t u32) : result u32 = + begin match l with | List_Cons _ _ -> Return 1 | List_Nil -> Return 0 end + +(** [no_nested_borrows::test_shared_borrow_enum2]: forward function + Source: 'src/no_nested_borrows.rs', lines 528:0-528:40 *) +let test_shared_borrow_enum2 : result u32 = + Return 0 + +(** [no_nested_borrows::incr]: merged forward/backward function + (there is a single backward function, and the forward function returns ()) + Source: 'src/no_nested_borrows.rs', lines 539:0-539:24 *) +let incr (x : u32) : result u32 = + u32_add x 1 + +(** [no_nested_borrows::call_incr]: forward function + Source: 'src/no_nested_borrows.rs', lines 543:0-543:35 *) +let call_incr (x : u32) : result u32 = + incr x + +(** [no_nested_borrows::read_then_incr]: forward function + Source: 'src/no_nested_borrows.rs', lines 548:0-548:41 *) +let read_then_incr (x : u32) : result u32 = + let* _ = u32_add x 1 in Return x + +(** [no_nested_borrows::read_then_incr]: backward function 0 + Source: 'src/no_nested_borrows.rs', lines 548:0-548:41 *) +let read_then_incr_back (x : u32) : result u32 = + u32_add x 1 + +(** [no_nested_borrows::Tuple] + Source: 'src/no_nested_borrows.rs', lines 554:0-554:24 *) +type tuple_t (t1 t2 : Type0) = 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 556:0-556:48 *) +let use_tuple_struct (x : tuple_t u32 u32) : result (tuple_t u32 u32) = + let (_, i) = x in Return (1, i) + +(** [no_nested_borrows::create_tuple_struct]: forward function + Source: 'src/no_nested_borrows.rs', lines 560:0-560:61 *) +let 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 565:0-565:20 *) +type idType_t (t : Type0) = t + +(** [no_nested_borrows::use_id_type]: forward function + Source: 'src/no_nested_borrows.rs', lines 567:0-567:40 *) +let use_id_type (t : Type0) (x : idType_t t) : result t = + Return x + +(** [no_nested_borrows::create_id_type]: forward function + Source: 'src/no_nested_borrows.rs', lines 571:0-571:43 *) +let create_id_type (t : Type0) (x : t) : result (idType_t t) = + Return x + diff --git a/tests/fstar-split/misc/Paper.fst b/tests/fstar-split/misc/Paper.fst new file mode 100644 index 00000000..0c44d78b --- /dev/null +++ b/tests/fstar-split/misc/Paper.fst @@ -0,0 +1,109 @@ +(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *) +(** [paper] *) +module Paper +open Primitives + +#set-options "--z3rlimit 50 --fuel 1 --ifuel 1" + +(** [paper::ref_incr]: merged forward/backward function + (there is a single backward function, and the forward function returns ()) + Source: 'src/paper.rs', lines 4:0-4:28 *) +let ref_incr (x : i32) : result i32 = + i32_add x 1 + +(** [paper::test_incr]: forward function + Source: 'src/paper.rs', lines 8:0-8:18 *) +let test_incr : result unit = + let* x = ref_incr 0 in if not (x = 1) then Fail Failure else Return () + +(** Unit test for [paper::test_incr] *) +let _ = assert_norm (test_incr = Return ()) + +(** [paper::choose]: forward function + Source: 'src/paper.rs', lines 15:0-15:70 *) +let choose (t : Type0) (b : bool) (x : t) (y : t) : result t = + if b then Return x else Return y + +(** [paper::choose]: backward function 0 + Source: 'src/paper.rs', lines 15:0-15:70 *) +let choose_back + (t : Type0) (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 + Source: 'src/paper.rs', lines 23:0-23:20 *) +let test_choose : result unit = + let* z = choose i32 true 0 0 in + let* z1 = i32_add z 1 in + if not (z1 = 1) + then Fail Failure + else + let* (x, y) = choose_back i32 true 0 0 z1 in + if not (x = 1) + then Fail Failure + else if not (y = 0) then Fail Failure else Return () + +(** Unit test for [paper::test_choose] *) +let _ = assert_norm (test_choose = Return ()) + +(** [paper::List] + Source: 'src/paper.rs', lines 35:0-35:16 *) +type list_t (t : Type0) = +| List_Cons : t -> list_t t -> list_t t +| List_Nil : list_t t + +(** [paper::list_nth_mut]: forward function + Source: 'src/paper.rs', lines 42:0-42:67 *) +let rec list_nth_mut (t : Type0) (l : list_t t) (i : u32) : result t = + begin match l with + | List_Cons x tl -> + if i = 0 then Return x else let* i1 = u32_sub i 1 in list_nth_mut t tl i1 + | List_Nil -> Fail Failure + end + +(** [paper::list_nth_mut]: backward function 0 + Source: 'src/paper.rs', lines 42:0-42:67 *) +let rec list_nth_mut_back + (t : Type0) (l : list_t t) (i : u32) (ret : t) : result (list_t t) = + begin match l with + | List_Cons x tl -> + if i = 0 + then Return (List_Cons ret tl) + else + let* i1 = u32_sub i 1 in + let* tl1 = list_nth_mut_back t tl i1 ret in + Return (List_Cons x tl1) + | List_Nil -> Fail Failure + end + +(** [paper::sum]: forward function + Source: 'src/paper.rs', lines 57:0-57:32 *) +let rec sum (l : list_t i32) : result i32 = + begin match l with + | List_Cons x tl -> let* i = sum tl in i32_add x i + | List_Nil -> Return 0 + end + +(** [paper::test_nth]: forward function + Source: 'src/paper.rs', lines 68:0-68:17 *) +let test_nth : result unit = + let l = List_Cons 3 List_Nil in + let l1 = List_Cons 2 l in + let* x = list_nth_mut i32 (List_Cons 1 l1) 2 in + let* x1 = i32_add x 1 in + let* l2 = list_nth_mut_back i32 (List_Cons 1 l1) 2 x1 in + let* i = sum l2 in + if not (i = 7) then Fail Failure else Return () + +(** Unit test for [paper::test_nth] *) +let _ = assert_norm (test_nth = Return ()) + +(** [paper::call_choose]: forward function + Source: 'src/paper.rs', lines 76:0-76:44 *) +let call_choose (p : (u32 & u32)) : result u32 = + let (px, py) = p in + let* pz = choose u32 true px py in + let* pz1 = u32_add pz 1 in + let* (px1, _) = choose_back u32 true px py pz1 in + Return px1 + diff --git a/tests/fstar-split/misc/PoloniusList.fst b/tests/fstar-split/misc/PoloniusList.fst new file mode 100644 index 00000000..8a8b7ae3 --- /dev/null +++ b/tests/fstar-split/misc/PoloniusList.fst @@ -0,0 +1,34 @@ +(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *) +(** [polonius_list] *) +module PoloniusList +open Primitives + +#set-options "--z3rlimit 50 --fuel 1 --ifuel 1" + +(** [polonius_list::List] + Source: 'src/polonius_list.rs', lines 3:0-3:16 *) +type list_t (t : Type0) = +| List_Cons : t -> list_t t -> list_t t +| List_Nil : list_t t + +(** [polonius_list::get_list_at_x]: forward function + Source: 'src/polonius_list.rs', lines 13:0-13:76 *) +let rec get_list_at_x (ls : list_t u32) (x : u32) : result (list_t u32) = + begin match ls with + | List_Cons hd tl -> + if hd = 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 *) +let rec get_list_at_x_back + (ls : list_t u32) (x : u32) (ret : list_t u32) : result (list_t u32) = + begin match ls with + | List_Cons hd tl -> + if hd = x + then Return ret + else let* tl1 = get_list_at_x_back tl x ret in Return (List_Cons hd tl1) + | List_Nil -> Return ret + end + diff --git a/tests/fstar-split/misc/Primitives.fst b/tests/fstar-split/misc/Primitives.fst new file mode 100644 index 00000000..a3ffbde4 --- /dev/null +++ b/tests/fstar-split/misc/Primitives.fst @@ -0,0 +1,884 @@ +/// This file lists primitive and assumed functions and types +module Primitives +open FStar.Mul +open FStar.List.Tot + +#set-options "--z3rlimit 15 --fuel 0 --ifuel 1" + +(*** Utilities *) +val list_update (#a : Type0) (ls : list a) (i : nat{i < length ls}) (x : a) : + ls':list a{ + length ls' = length ls /\ + index ls' i == x + } +#push-options "--fuel 1" +let rec list_update #a ls i x = + match ls with + | x' :: ls -> if i = 0 then x :: ls else x' :: list_update ls (i-1) x +#pop-options + +(*** Result *) +type error : Type0 = +| Failure +| OutOfFuel + +type result (a : Type0) : Type0 = +| Return : v:a -> result a +| Fail : e:error -> result a + +// Monadic return operator +unfold let return (#a : Type0) (x : a) : result a = Return x + +// Monadic bind operator. +// Allows to use the notation: +// ``` +// let* x = y in +// ... +// ``` +unfold let (let*) (#a #b : Type0) (m: result a) + (f: (x:a) -> Pure (result b) (requires (m == Return x)) (ensures fun _ -> True)) : + result b = + match m with + | Return x -> f x + | Fail e -> Fail e + +// Monadic assert(...) +let massert (b:bool) : result unit = if b then Return () else Fail Failure + +// Normalize and unwrap a successful result (used for globals). +let eval_global (#a : Type0) (x : result a{Return? (normalize_term x)}) : a = Return?.v x + +(*** Misc *) +type char = FStar.Char.char +type string = string + +let is_zero (n: nat) : bool = n = 0 +let decrease (n: nat{n > 0}) : nat = n - 1 + +let core_mem_replace (a : Type0) (x : a) (y : a) : a = x +let core_mem_replace_back (a : Type0) (x : a) (y : a) : a = y + +// We don't really use raw pointers for now +type mut_raw_ptr (t : Type0) = { v : t } +type const_raw_ptr (t : Type0) = { v : t } + +(*** Scalars *) +/// Rem.: most of the following code was partially generated + +assume val size_numbits : pos + +// TODO: we could use FStar.Int.int_t and FStar.UInt.int_t + +let isize_min : int = -9223372036854775808 // TODO: should be opaque +let isize_max : int = 9223372036854775807 // TODO: should be opaque +let i8_min : int = -128 +let i8_max : int = 127 +let i16_min : int = -32768 +let i16_max : int = 32767 +let i32_min : int = -2147483648 +let i32_max : int = 2147483647 +let i64_min : int = -9223372036854775808 +let i64_max : int = 9223372036854775807 +let i128_min : int = -170141183460469231731687303715884105728 +let i128_max : int = 170141183460469231731687303715884105727 +let usize_min : int = 0 +let usize_max : int = 4294967295 // TODO: should be opaque +let u8_min : int = 0 +let u8_max : int = 255 +let u16_min : int = 0 +let u16_max : int = 65535 +let u32_min : int = 0 +let u32_max : int = 4294967295 +let u64_min : int = 0 +let u64_max : int = 18446744073709551615 +let u128_min : int = 0 +let u128_max : int = 340282366920938463463374607431768211455 + +type scalar_ty = +| Isize +| I8 +| I16 +| I32 +| I64 +| I128 +| Usize +| U8 +| U16 +| U32 +| U64 +| U128 + +let is_unsigned = function + | Isize | I8 | I16 | I32 | I64 | I128 -> false + | Usize | U8 | U16 | U32 | U64 | U128 -> true + +let scalar_min (ty : scalar_ty) : int = + match ty with + | Isize -> isize_min + | I8 -> i8_min + | I16 -> i16_min + | I32 -> i32_min + | I64 -> i64_min + | I128 -> i128_min + | Usize -> usize_min + | U8 -> u8_min + | U16 -> u16_min + | U32 -> u32_min + | U64 -> u64_min + | U128 -> u128_min + +let scalar_max (ty : scalar_ty) : int = + match ty with + | Isize -> isize_max + | I8 -> i8_max + | I16 -> i16_max + | I32 -> i32_max + | I64 -> i64_max + | I128 -> i128_max + | Usize -> usize_max + | U8 -> u8_max + | U16 -> u16_max + | U32 -> u32_max + | U64 -> u64_max + | U128 -> u128_max + +type scalar (ty : scalar_ty) : eqtype = x:int{scalar_min ty <= x && x <= scalar_max ty} + +let mk_scalar (ty : scalar_ty) (x : int) : result (scalar ty) = + if scalar_min ty <= x && scalar_max ty >= x then Return x else Fail Failure + +let scalar_neg (#ty : scalar_ty) (x : scalar ty) : result (scalar ty) = mk_scalar ty (-x) + +let scalar_div (#ty : scalar_ty) (x : scalar ty) (y : scalar ty) : result (scalar ty) = + if y <> 0 then mk_scalar ty (x / y) else Fail Failure + +/// The remainder operation +let int_rem (x : int) (y : int{y <> 0}) : int = + if x >= 0 then (x % y) else -(x % y) + +(* Checking consistency with Rust *) +let _ = assert_norm(int_rem 1 2 = 1) +let _ = assert_norm(int_rem (-1) 2 = -1) +let _ = assert_norm(int_rem 1 (-2) = 1) +let _ = assert_norm(int_rem (-1) (-2) = -1) + +let scalar_rem (#ty : scalar_ty) (x : scalar ty) (y : scalar ty) : result (scalar ty) = + if y <> 0 then mk_scalar ty (int_rem x y) else Fail Failure + +let scalar_add (#ty : scalar_ty) (x : scalar ty) (y : scalar ty) : result (scalar ty) = + mk_scalar ty (x + y) + +let scalar_sub (#ty : scalar_ty) (x : scalar ty) (y : scalar ty) : result (scalar ty) = + mk_scalar ty (x - y) + +let scalar_mul (#ty : scalar_ty) (x : scalar ty) (y : scalar ty) : result (scalar ty) = + mk_scalar ty (x * y) + +let scalar_xor (#ty : scalar_ty) + (x : scalar ty) (y : scalar ty) : scalar ty = + match ty with + | U8 -> FStar.UInt.logxor #8 x y + | U16 -> FStar.UInt.logxor #16 x y + | U32 -> FStar.UInt.logxor #32 x y + | U64 -> FStar.UInt.logxor #64 x y + | U128 -> FStar.UInt.logxor #128 x y + | Usize -> admit() // TODO + | I8 -> + // Encoding issues... + normalize_spec (FStar.Int.int_t 8); + normalize_spec (scalar I8); + FStar.Int.logxor #8 x y + | I16 -> + // Encoding issues... + normalize_spec (FStar.Int.int_t 16); + normalize_spec (scalar I16); + FStar.Int.logxor #16 x y + | I32 -> FStar.Int.logxor #32 x y + | I64 -> FStar.Int.logxor #64 x y + | I128 -> + // Encoding issues... + normalize_spec (FStar.Int.int_t 128); + normalize_spec (scalar I128); + FStar.Int.logxor #128 x y + | Isize -> admit() // TODO + +let scalar_or (#ty : scalar_ty) + (x : scalar ty) (y : scalar ty) : scalar ty = + match ty with + | U8 -> FStar.UInt.logor #8 x y + | U16 -> FStar.UInt.logor #16 x y + | U32 -> FStar.UInt.logor #32 x y + | U64 -> FStar.UInt.logor #64 x y + | U128 -> FStar.UInt.logor #128 x y + | Usize -> admit() // TODO + | I8 -> + // Encoding issues... + normalize_spec (FStar.Int.int_t 8); + normalize_spec (scalar I8); + FStar.Int.logor #8 x y + | I16 -> + // Encoding issues... + normalize_spec (FStar.Int.int_t 16); + normalize_spec (scalar I16); + FStar.Int.logor #16 x y + | I32 -> FStar.Int.logor #32 x y + | I64 -> FStar.Int.logor #64 x y + | I128 -> + // Encoding issues... + normalize_spec (FStar.Int.int_t 128); + normalize_spec (scalar I128); + FStar.Int.logor #128 x y + | Isize -> admit() // TODO + +let scalar_and (#ty : scalar_ty) + (x : scalar ty) (y : scalar ty) : scalar ty = + match ty with + | U8 -> FStar.UInt.logand #8 x y + | U16 -> FStar.UInt.logand #16 x y + | U32 -> FStar.UInt.logand #32 x y + | U64 -> FStar.UInt.logand #64 x y + | U128 -> FStar.UInt.logand #128 x y + | Usize -> admit() // TODO + | I8 -> + // Encoding issues... + normalize_spec (FStar.Int.int_t 8); + normalize_spec (scalar I8); + FStar.Int.logand #8 x y + | I16 -> + // Encoding issues... + normalize_spec (FStar.Int.int_t 16); + normalize_spec (scalar I16); + FStar.Int.logand #16 x y + | I32 -> FStar.Int.logand #32 x y + | I64 -> FStar.Int.logand #64 x y + | I128 -> + // Encoding issues... + normalize_spec (FStar.Int.int_t 128); + normalize_spec (scalar I128); + FStar.Int.logand #128 x y + | Isize -> admit() // TODO + +// Shift left +let scalar_shl (#ty0 #ty1 : scalar_ty) + (x : scalar ty0) (y : scalar ty1) : result (scalar ty0) = + admit() + +// Shift right +let scalar_shr (#ty0 #ty1 : scalar_ty) + (x : scalar ty0) (y : scalar ty1) : result (scalar ty0) = + admit() + +(** Cast an integer from a [src_ty] to a [tgt_ty] *) +// TODO: check the semantics of casts in Rust +let scalar_cast (src_ty : scalar_ty) (tgt_ty : scalar_ty) (x : scalar src_ty) : result (scalar tgt_ty) = + mk_scalar tgt_ty x + +// This can't fail, but for now we make all casts faillible (easier for the translation) +let scalar_cast_bool (tgt_ty : scalar_ty) (x : bool) : result (scalar tgt_ty) = + mk_scalar tgt_ty (if x then 1 else 0) + +/// The scalar types +type isize : eqtype = scalar Isize +type i8 : eqtype = scalar I8 +type i16 : eqtype = scalar I16 +type i32 : eqtype = scalar I32 +type i64 : eqtype = scalar I64 +type i128 : eqtype = scalar I128 +type usize : eqtype = scalar Usize +type u8 : eqtype = scalar U8 +type u16 : eqtype = scalar U16 +type u32 : eqtype = scalar U32 +type u64 : eqtype = scalar U64 +type u128 : eqtype = scalar U128 + + +let core_isize_min : isize = isize_min +let core_isize_max : isize = isize_max +let core_i8_min : i8 = i8_min +let core_i8_max : i8 = i8_max +let core_i16_min : i16 = i16_min +let core_i16_max : i16 = i16_max +let core_i32_min : i32 = i32_min +let core_i32_max : i32 = i32_max +let core_i64_min : i64 = i64_min +let core_i64_max : i64 = i64_max +let core_i128_min : i128 = i128_min +let core_i128_max : i128 = i128_max + +let core_usize_min : usize = usize_min +let core_usize_max : usize = usize_max +let core_u8_min : u8 = u8_min +let core_u8_max : u8 = u8_max +let core_u16_min : u16 = u16_min +let core_u16_max : u16 = u16_max +let core_u32_min : u32 = u32_min +let core_u32_max : u32 = u32_max +let core_u64_min : u64 = u64_min +let core_u64_max : u64 = u64_max +let core_u128_min : u128 = u128_min +let core_u128_max : u128 = u128_max + +/// Negation +let isize_neg = scalar_neg #Isize +let i8_neg = scalar_neg #I8 +let i16_neg = scalar_neg #I16 +let i32_neg = scalar_neg #I32 +let i64_neg = scalar_neg #I64 +let i128_neg = scalar_neg #I128 + +/// Division +let isize_div = scalar_div #Isize +let i8_div = scalar_div #I8 +let i16_div = scalar_div #I16 +let i32_div = scalar_div #I32 +let i64_div = scalar_div #I64 +let i128_div = scalar_div #I128 +let usize_div = scalar_div #Usize +let u8_div = scalar_div #U8 +let u16_div = scalar_div #U16 +let u32_div = scalar_div #U32 +let u64_div = scalar_div #U64 +let u128_div = scalar_div #U128 + +/// Remainder +let isize_rem = scalar_rem #Isize +let i8_rem = scalar_rem #I8 +let i16_rem = scalar_rem #I16 +let i32_rem = scalar_rem #I32 +let i64_rem = scalar_rem #I64 +let i128_rem = scalar_rem #I128 +let usize_rem = scalar_rem #Usize +let u8_rem = scalar_rem #U8 +let u16_rem = scalar_rem #U16 +let u32_rem = scalar_rem #U32 +let u64_rem = scalar_rem #U64 +let u128_rem = scalar_rem #U128 + +/// Addition +let isize_add = scalar_add #Isize +let i8_add = scalar_add #I8 +let i16_add = scalar_add #I16 +let i32_add = scalar_add #I32 +let i64_add = scalar_add #I64 +let i128_add = scalar_add #I128 +let usize_add = scalar_add #Usize +let u8_add = scalar_add #U8 +let u16_add = scalar_add #U16 +let u32_add = scalar_add #U32 +let u64_add = scalar_add #U64 +let u128_add = scalar_add #U128 + +/// Subtraction +let isize_sub = scalar_sub #Isize +let i8_sub = scalar_sub #I8 +let i16_sub = scalar_sub #I16 +let i32_sub = scalar_sub #I32 +let i64_sub = scalar_sub #I64 +let i128_sub = scalar_sub #I128 +let usize_sub = scalar_sub #Usize +let u8_sub = scalar_sub #U8 +let u16_sub = scalar_sub #U16 +let u32_sub = scalar_sub #U32 +let u64_sub = scalar_sub #U64 +let u128_sub = scalar_sub #U128 + +/// Multiplication +let isize_mul = scalar_mul #Isize +let i8_mul = scalar_mul #I8 +let i16_mul = scalar_mul #I16 +let i32_mul = scalar_mul #I32 +let i64_mul = scalar_mul #I64 +let i128_mul = scalar_mul #I128 +let usize_mul = scalar_mul #Usize +let u8_mul = scalar_mul #U8 +let u16_mul = scalar_mul #U16 +let u32_mul = scalar_mul #U32 +let u64_mul = scalar_mul #U64 +let u128_mul = scalar_mul #U128 + +/// Xor +let u8_xor = scalar_xor #U8 +let u16_xor = scalar_xor #U16 +let u32_xor = scalar_xor #U32 +let u64_xor = scalar_xor #U64 +let u128_xor = scalar_xor #U128 +let usize_xor = scalar_xor #Usize +let i8_xor = scalar_xor #I8 +let i16_xor = scalar_xor #I16 +let i32_xor = scalar_xor #I32 +let i64_xor = scalar_xor #I64 +let i128_xor = scalar_xor #I128 +let isize_xor = scalar_xor #Isize + +/// Or +let u8_or = scalar_or #U8 +let u16_or = scalar_or #U16 +let u32_or = scalar_or #U32 +let u64_or = scalar_or #U64 +let u128_or = scalar_or #U128 +let usize_or = scalar_or #Usize +let i8_or = scalar_or #I8 +let i16_or = scalar_or #I16 +let i32_or = scalar_or #I32 +let i64_or = scalar_or #I64 +let i128_or = scalar_or #I128 +let isize_or = scalar_or #Isize + +/// And +let u8_and = scalar_and #U8 +let u16_and = scalar_and #U16 +let u32_and = scalar_and #U32 +let u64_and = scalar_and #U64 +let u128_and = scalar_and #U128 +let usize_and = scalar_and #Usize +let i8_and = scalar_and #I8 +let i16_and = scalar_and #I16 +let i32_and = scalar_and #I32 +let i64_and = scalar_and #I64 +let i128_and = scalar_and #I128 +let isize_and = scalar_and #Isize + +/// Shift left +let u8_shl #ty = scalar_shl #U8 #ty +let u16_shl #ty = scalar_shl #U16 #ty +let u32_shl #ty = scalar_shl #U32 #ty +let u64_shl #ty = scalar_shl #U64 #ty +let u128_shl #ty = scalar_shl #U128 #ty +let usize_shl #ty = scalar_shl #Usize #ty +let i8_shl #ty = scalar_shl #I8 #ty +let i16_shl #ty = scalar_shl #I16 #ty +let i32_shl #ty = scalar_shl #I32 #ty +let i64_shl #ty = scalar_shl #I64 #ty +let i128_shl #ty = scalar_shl #I128 #ty +let isize_shl #ty = scalar_shl #Isize #ty + +/// Shift right +let u8_shr #ty = scalar_shr #U8 #ty +let u16_shr #ty = scalar_shr #U16 #ty +let u32_shr #ty = scalar_shr #U32 #ty +let u64_shr #ty = scalar_shr #U64 #ty +let u128_shr #ty = scalar_shr #U128 #ty +let usize_shr #ty = scalar_shr #Usize #ty +let i8_shr #ty = scalar_shr #I8 #ty +let i16_shr #ty = scalar_shr #I16 #ty +let i32_shr #ty = scalar_shr #I32 #ty +let i64_shr #ty = scalar_shr #I64 #ty +let i128_shr #ty = scalar_shr #I128 #ty +let isize_shr #ty = scalar_shr #Isize #ty + +(*** core::ops *) + +// Trait declaration: [core::ops::index::Index] +noeq type core_ops_index_Index (self idx : Type0) = { + output : Type0; + index : self → idx → result output +} + +// Trait declaration: [core::ops::index::IndexMut] +noeq type core_ops_index_IndexMut (self idx : Type0) = { + indexInst : core_ops_index_Index self idx; + index_mut : self → idx → result indexInst.output; + index_mut_back : self → idx → indexInst.output → result self; +} + +// Trait declaration [core::ops::deref::Deref] +noeq type core_ops_deref_Deref (self : Type0) = { + target : Type0; + deref : self → result target; +} + +// Trait declaration [core::ops::deref::DerefMut] +noeq type core_ops_deref_DerefMut (self : Type0) = { + derefInst : core_ops_deref_Deref self; + deref_mut : self → result derefInst.target; + deref_mut_back : self → derefInst.target → result self; +} + +type core_ops_range_Range (a : Type0) = { + start : a; + end_ : a; +} + +(*** [alloc] *) + +let alloc_boxed_Box_deref (t : Type0) (x : t) : result t = Return x +let alloc_boxed_Box_deref_mut (t : Type0) (x : t) : result t = Return x +let alloc_boxed_Box_deref_mut_back (t : Type) (_ : t) (x : t) : result t = Return x + +// Trait instance +let alloc_boxed_Box_coreopsDerefInst (self : Type0) : core_ops_deref_Deref self = { + target = self; + deref = alloc_boxed_Box_deref self; +} + +// Trait instance +let alloc_boxed_Box_coreopsDerefMutInst (self : Type0) : core_ops_deref_DerefMut self = { + derefInst = alloc_boxed_Box_coreopsDerefInst self; + deref_mut = alloc_boxed_Box_deref_mut self; + deref_mut_back = alloc_boxed_Box_deref_mut_back self; +} + +(*** Array *) +type array (a : Type0) (n : usize) = s:list a{length s = n} + +// We tried putting the normalize_term condition as a refinement on the list +// but it didn't work. It works with the requires clause. +let mk_array (a : Type0) (n : usize) + (l : list a) : + Pure (array a n) + (requires (normalize_term(FStar.List.Tot.length l) = n)) + (ensures (fun _ -> True)) = + normalize_term_spec (FStar.List.Tot.length l); + l + +let array_index_usize (a : Type0) (n : usize) (x : array a n) (i : usize) : result a = + if i < length x then Return (index x i) + else Fail Failure + +let array_update_usize (a : Type0) (n : usize) (x : array a n) (i : usize) (nx : a) : result (array a n) = + if i < length x then Return (list_update x i nx) + else Fail Failure + +(*** Slice *) +type slice (a : Type0) = s:list a{length s <= usize_max} + +let slice_len (a : Type0) (s : slice a) : usize = length s + +let slice_index_usize (a : Type0) (x : slice a) (i : usize) : result a = + if i < length x then Return (index x i) + else Fail Failure + +let slice_update_usize (a : Type0) (x : slice a) (i : usize) (nx : a) : result (slice a) = + if i < length x then Return (list_update x i nx) + else Fail Failure + +(*** Subslices *) + +let array_to_slice (a : Type0) (n : usize) (x : array a n) : result (slice a) = Return x +let array_from_slice (a : Type0) (n : usize) (x : array a n) (s : slice a) : result (array a n) = + if length s = n then Return s + else Fail Failure + +// TODO: finish the definitions below (there lacks [List.drop] and [List.take] in the standard library *) +let array_subslice (a : Type0) (n : usize) (x : array a n) (r : core_ops_range_Range usize) : result (slice a) = + admit() + +let array_update_subslice (a : Type0) (n : usize) (x : array a n) (r : core_ops_range_Range usize) (ns : slice a) : result (array a n) = + admit() + +let array_repeat (a : Type0) (n : usize) (x : a) : array a n = + admit() + +let slice_subslice (a : Type0) (x : slice a) (r : core_ops_range_Range usize) : result (slice a) = + admit() + +let slice_update_subslice (a : Type0) (x : slice a) (r : core_ops_range_Range usize) (ns : slice a) : result (slice a) = + admit() + +(*** Vector *) +type alloc_vec_Vec (a : Type0) = v:list a{length v <= usize_max} + +let alloc_vec_Vec_new (a : Type0) : alloc_vec_Vec a = assert_norm(length #a [] == 0); [] +let alloc_vec_Vec_len (a : Type0) (v : alloc_vec_Vec a) : usize = length v + +// Helper +let alloc_vec_Vec_index_usize (#a : Type0) (v : alloc_vec_Vec a) (i : usize) : result a = + if i < length v then Return (index v i) else Fail Failure +// Helper +let alloc_vec_Vec_update_usize (#a : Type0) (v : alloc_vec_Vec a) (i : usize) (x : a) : result (alloc_vec_Vec a) = + if i < length v then Return (list_update v i x) else Fail Failure + +// The **forward** function shouldn't be used +let alloc_vec_Vec_push_fwd (a : Type0) (v : alloc_vec_Vec a) (x : a) : unit = () +let alloc_vec_Vec_push (a : Type0) (v : alloc_vec_Vec a) (x : a) : + Pure (result (alloc_vec_Vec a)) + (requires True) + (ensures (fun res -> + match res with + | Fail e -> e == Failure + | Return v' -> length v' = length v + 1)) = + if length v < usize_max then begin + (**) assert_norm(length [x] == 1); + (**) append_length v [x]; + (**) assert(length (append v [x]) = length v + 1); + Return (append v [x]) + end + else Fail Failure + +// The **forward** function shouldn't be used +let alloc_vec_Vec_insert_fwd (a : Type0) (v : alloc_vec_Vec a) (i : usize) (x : a) : result unit = + if i < length v then Return () else Fail Failure +let alloc_vec_Vec_insert (a : Type0) (v : alloc_vec_Vec a) (i : usize) (x : a) : result (alloc_vec_Vec a) = + if i < length v then Return (list_update v i x) else Fail Failure + +// Trait declaration: [core::slice::index::private_slice_index::Sealed] +type core_slice_index_private_slice_index_Sealed (self : Type0) = unit + +// Trait declaration: [core::slice::index::SliceIndex] +noeq type core_slice_index_SliceIndex (self t : Type0) = { + sealedInst : core_slice_index_private_slice_index_Sealed self; + output : Type0; + get : self → t → result (option output); + get_mut : self → t → result (option output); + get_mut_back : self → t → option output → result t; + get_unchecked : self → const_raw_ptr t → result (const_raw_ptr output); + get_unchecked_mut : self → mut_raw_ptr t → result (mut_raw_ptr output); + index : self → t → result output; + index_mut : self → t → result output; + index_mut_back : self → t → output → result t; +} + +// [core::slice::index::[T]::index]: forward function +let core_slice_index_Slice_index + (t idx : Type0) (inst : core_slice_index_SliceIndex idx (slice t)) + (s : slice t) (i : idx) : result inst.output = + let* x = inst.get i s in + match x with + | None -> Fail Failure + | Some x -> Return x + +// [core::slice::index::Range:::get]: forward function +let core_slice_index_RangeUsize_get (t : Type0) (i : core_ops_range_Range usize) (s : slice t) : + result (option (slice t)) = + admit () // TODO + +// [core::slice::index::Range::get_mut]: forward function +let core_slice_index_RangeUsize_get_mut + (t : Type0) : core_ops_range_Range usize → slice t → result (option (slice t)) = + admit () // TODO + +// [core::slice::index::Range::get_mut]: backward function 0 +let core_slice_index_RangeUsize_get_mut_back + (t : Type0) : + core_ops_range_Range usize → slice t → option (slice t) → result (slice t) = + admit () // TODO + +// [core::slice::index::Range::get_unchecked]: forward function +let core_slice_index_RangeUsize_get_unchecked + (t : Type0) : + core_ops_range_Range usize → const_raw_ptr (slice t) → result (const_raw_ptr (slice t)) = + // Don't know what the model should be - for now we always fail to make + // sure code which uses it fails + fun _ _ -> Fail Failure + +// [core::slice::index::Range::get_unchecked_mut]: forward function +let core_slice_index_RangeUsize_get_unchecked_mut + (t : Type0) : + core_ops_range_Range usize → mut_raw_ptr (slice t) → result (mut_raw_ptr (slice t)) = + // Don't know what the model should be - for now we always fail to make + // sure code which uses it fails + fun _ _ -> Fail Failure + +// [core::slice::index::Range::index]: forward function +let core_slice_index_RangeUsize_index + (t : Type0) : core_ops_range_Range usize → slice t → result (slice t) = + admit () // TODO + +// [core::slice::index::Range::index_mut]: forward function +let core_slice_index_RangeUsize_index_mut + (t : Type0) : core_ops_range_Range usize → slice t → result (slice t) = + admit () // TODO + +// [core::slice::index::Range::index_mut]: backward function 0 +let core_slice_index_RangeUsize_index_mut_back + (t : Type0) : core_ops_range_Range usize → slice t → slice t → result (slice t) = + admit () // TODO + +// [core::slice::index::[T]::index_mut]: forward function +let core_slice_index_Slice_index_mut + (t idx : Type0) (inst : core_slice_index_SliceIndex idx (slice t)) : + slice t → idx → result inst.output = + admit () // + +// [core::slice::index::[T]::index_mut]: backward function 0 +let core_slice_index_Slice_index_mut_back + (t idx : Type0) (inst : core_slice_index_SliceIndex idx (slice t)) : + slice t → idx → inst.output → result (slice t) = + admit () // TODO + +// [core::array::[T; N]::index]: forward function +let core_array_Array_index + (t idx : Type0) (n : usize) (inst : core_ops_index_Index (slice t) idx) + (a : array t n) (i : idx) : result inst.output = + admit () // TODO + +// [core::array::[T; N]::index_mut]: forward function +let core_array_Array_index_mut + (t idx : Type0) (n : usize) (inst : core_ops_index_IndexMut (slice t) idx) + (a : array t n) (i : idx) : result inst.indexInst.output = + admit () // TODO + +// [core::array::[T; N]::index_mut]: backward function 0 +let core_array_Array_index_mut_back + (t idx : Type0) (n : usize) (inst : core_ops_index_IndexMut (slice t) idx) + (a : array t n) (i : idx) (x : inst.indexInst.output) : result (array t n) = + admit () // TODO + +// Trait implementation: [core::slice::index::private_slice_index::Range] +let core_slice_index_private_slice_index_SealedRangeUsizeInst + : core_slice_index_private_slice_index_Sealed (core_ops_range_Range usize) = () + +// Trait implementation: [core::slice::index::Range] +let core_slice_index_SliceIndexRangeUsizeSliceTInst (t : Type0) : + core_slice_index_SliceIndex (core_ops_range_Range usize) (slice t) = { + sealedInst = core_slice_index_private_slice_index_SealedRangeUsizeInst; + output = slice t; + get = core_slice_index_RangeUsize_get t; + get_mut = core_slice_index_RangeUsize_get_mut t; + get_mut_back = core_slice_index_RangeUsize_get_mut_back t; + get_unchecked = core_slice_index_RangeUsize_get_unchecked t; + get_unchecked_mut = core_slice_index_RangeUsize_get_unchecked_mut t; + index = core_slice_index_RangeUsize_index t; + index_mut = core_slice_index_RangeUsize_index_mut t; + index_mut_back = core_slice_index_RangeUsize_index_mut_back t; +} + +// Trait implementation: [core::slice::index::[T]] +let core_ops_index_IndexSliceTIInst (t idx : Type0) + (inst : core_slice_index_SliceIndex idx (slice t)) : + core_ops_index_Index (slice t) idx = { + output = inst.output; + index = core_slice_index_Slice_index t idx inst; +} + +// Trait implementation: [core::slice::index::[T]] +let core_ops_index_IndexMutSliceTIInst (t idx : Type0) + (inst : core_slice_index_SliceIndex idx (slice t)) : + core_ops_index_IndexMut (slice t) idx = { + indexInst = core_ops_index_IndexSliceTIInst t idx inst; + index_mut = core_slice_index_Slice_index_mut t idx inst; + index_mut_back = core_slice_index_Slice_index_mut_back t idx inst; +} + +// Trait implementation: [core::array::[T; N]] +let core_ops_index_IndexArrayInst (t idx : Type0) (n : usize) + (inst : core_ops_index_Index (slice t) idx) : + core_ops_index_Index (array t n) idx = { + output = inst.output; + index = core_array_Array_index t idx n inst; +} + +// Trait implementation: [core::array::[T; N]] +let core_ops_index_IndexMutArrayIInst (t idx : Type0) (n : usize) + (inst : core_ops_index_IndexMut (slice t) idx) : + core_ops_index_IndexMut (array t n) idx = { + indexInst = core_ops_index_IndexArrayInst t idx n inst.indexInst; + index_mut = core_array_Array_index_mut t idx n inst; + index_mut_back = core_array_Array_index_mut_back t idx n inst; +} + +// [core::slice::index::usize::get]: forward function +let core_slice_index_usize_get + (t : Type0) : usize → slice t → result (option t) = + admit () // TODO + +// [core::slice::index::usize::get_mut]: forward function +let core_slice_index_usize_get_mut + (t : Type0) : usize → slice t → result (option t) = + admit () // TODO + +// [core::slice::index::usize::get_mut]: backward function 0 +let core_slice_index_usize_get_mut_back + (t : Type0) : usize → slice t → option t → result (slice t) = + admit () // TODO + +// [core::slice::index::usize::get_unchecked]: forward function +let core_slice_index_usize_get_unchecked + (t : Type0) : usize → const_raw_ptr (slice t) → result (const_raw_ptr t) = + admit () // TODO + +// [core::slice::index::usize::get_unchecked_mut]: forward function +let core_slice_index_usize_get_unchecked_mut + (t : Type0) : usize → mut_raw_ptr (slice t) → result (mut_raw_ptr t) = + admit () // TODO + +// [core::slice::index::usize::index]: forward function +let core_slice_index_usize_index (t : Type0) : usize → slice t → result t = + admit () // TODO + +// [core::slice::index::usize::index_mut]: forward function +let core_slice_index_usize_index_mut (t : Type0) : usize → slice t → result t = + admit () // TODO + +// [core::slice::index::usize::index_mut]: backward function 0 +let core_slice_index_usize_index_mut_back + (t : Type0) : usize → slice t → t → result (slice t) = + admit () // TODO + +// Trait implementation: [core::slice::index::private_slice_index::usize] +let core_slice_index_private_slice_index_SealedUsizeInst + : core_slice_index_private_slice_index_Sealed usize = () + +// Trait implementation: [core::slice::index::usize] +let core_slice_index_SliceIndexUsizeSliceTInst (t : Type0) : + core_slice_index_SliceIndex usize (slice t) = { + sealedInst = core_slice_index_private_slice_index_SealedUsizeInst; + output = t; + get = core_slice_index_usize_get t; + get_mut = core_slice_index_usize_get_mut t; + get_mut_back = core_slice_index_usize_get_mut_back t; + get_unchecked = core_slice_index_usize_get_unchecked t; + get_unchecked_mut = core_slice_index_usize_get_unchecked_mut t; + index = core_slice_index_usize_index t; + index_mut = core_slice_index_usize_index_mut t; + index_mut_back = core_slice_index_usize_index_mut_back t; +} + +// [alloc::vec::Vec::index]: forward function +let alloc_vec_Vec_index (t idx : Type0) (inst : core_slice_index_SliceIndex idx (slice t)) + (self : alloc_vec_Vec t) (i : idx) : result inst.output = + admit () // TODO + +// [alloc::vec::Vec::index_mut]: forward function +let alloc_vec_Vec_index_mut (t idx : Type0) (inst : core_slice_index_SliceIndex idx (slice t)) + (self : alloc_vec_Vec t) (i : idx) : result inst.output = + admit () // TODO + +// [alloc::vec::Vec::index_mut]: backward function 0 +let alloc_vec_Vec_index_mut_back + (t idx : Type0) (inst : core_slice_index_SliceIndex idx (slice t)) + (self : alloc_vec_Vec t) (i : idx) (x : inst.output) : result (alloc_vec_Vec t) = + admit () // TODO + +// Trait implementation: [alloc::vec::Vec] +let alloc_vec_Vec_coreopsindexIndexInst (t idx : Type0) + (inst : core_slice_index_SliceIndex idx (slice t)) : + core_ops_index_Index (alloc_vec_Vec t) idx = { + output = inst.output; + index = alloc_vec_Vec_index t idx inst; +} + +// Trait implementation: [alloc::vec::Vec] +let alloc_vec_Vec_coreopsindexIndexMutInst (t idx : Type0) + (inst : core_slice_index_SliceIndex idx (slice t)) : + core_ops_index_IndexMut (alloc_vec_Vec t) idx = { + indexInst = alloc_vec_Vec_coreopsindexIndexInst t idx inst; + index_mut = alloc_vec_Vec_index_mut t idx inst; + index_mut_back = alloc_vec_Vec_index_mut_back t idx inst; +} + +(*** Theorems *) + +let alloc_vec_Vec_index_eq (#a : Type0) (v : alloc_vec_Vec a) (i : usize) : + Lemma ( + alloc_vec_Vec_index a usize (core_slice_index_SliceIndexUsizeSliceTInst a) v i == + alloc_vec_Vec_index_usize v i) + [SMTPat (alloc_vec_Vec_index a usize (core_slice_index_SliceIndexUsizeSliceTInst a) v i)] + = + admit() + +let alloc_vec_Vec_index_mut_eq (#a : Type0) (v : alloc_vec_Vec a) (i : usize) : + Lemma ( + alloc_vec_Vec_index_mut a usize (core_slice_index_SliceIndexUsizeSliceTInst a) v i == + alloc_vec_Vec_index_usize v i) + [SMTPat (alloc_vec_Vec_index_mut a usize (core_slice_index_SliceIndexUsizeSliceTInst a) v i)] + = + admit() + +let alloc_vec_Vec_index_mut_back_eq (#a : Type0) (v : alloc_vec_Vec a) (i : usize) (x : a) : + Lemma ( + alloc_vec_Vec_index_mut_back a usize (core_slice_index_SliceIndexUsizeSliceTInst a) v i x == + alloc_vec_Vec_update_usize v i x) + [SMTPat (alloc_vec_Vec_index_mut_back a usize (core_slice_index_SliceIndexUsizeSliceTInst a) v i x)] + = + admit() diff --git a/tests/fstar-split/traits/Makefile b/tests/fstar-split/traits/Makefile new file mode 100644 index 00000000..fa7d1f36 --- /dev/null +++ b/tests/fstar-split/traits/Makefile @@ -0,0 +1,49 @@ +# This file was automatically generated - modify ../Makefile.template instead +INCLUDE_DIRS = . + +FSTAR_INCLUDES = $(addprefix --include ,$(INCLUDE_DIRS)) + +FSTAR_HINTS ?= --use_hints --use_hint_hashes --record_hints + +FSTAR_OPTIONS = $(FSTAR_HINTS) \ + --cache_checked_modules $(FSTAR_INCLUDES) --cmi \ + --warn_error '+241@247+285-274' \ + +FSTAR_EXE ?= fstar.exe +FSTAR_NO_FLAGS = $(FSTAR_EXE) --already_cached 'Prims FStar LowStar Steel' --odir obj --cache_dir obj + +FSTAR = $(FSTAR_NO_FLAGS) $(FSTAR_OPTIONS) + +# The F* roots are used to compute the dependency graph, and generate the .depend file +FSTAR_ROOTS ?= $(wildcard *.fst *.fsti) + +# Build all the files +all: $(addprefix obj/,$(addsuffix .checked,$(FSTAR_ROOTS))) + +# This is the right way to ensure the .depend file always gets re-built. +ifeq (,$(filter %-in,$(MAKECMDGOALS))) +ifndef NODEPEND +ifndef MAKE_RESTARTS +.depend: .FORCE + $(FSTAR_NO_FLAGS) --dep full $(notdir $(FSTAR_ROOTS)) > $@ + +.PHONY: .FORCE +.FORCE: +endif +endif + +include .depend +endif + +# For the interactive mode +%.fst-in %.fsti-in: + @echo $(FSTAR_OPTIONS) + +# Generete the .checked files in batch mode +%.checked: + $(FSTAR) $(FSTAR_OPTIONS) $< && \ + touch -c $@ + +.PHONY: clean +clean: + rm -f obj/* diff --git a/tests/fstar-split/traits/Primitives.fst b/tests/fstar-split/traits/Primitives.fst new file mode 100644 index 00000000..a3ffbde4 --- /dev/null +++ b/tests/fstar-split/traits/Primitives.fst @@ -0,0 +1,884 @@ +/// This file lists primitive and assumed functions and types +module Primitives +open FStar.Mul +open FStar.List.Tot + +#set-options "--z3rlimit 15 --fuel 0 --ifuel 1" + +(*** Utilities *) +val list_update (#a : Type0) (ls : list a) (i : nat{i < length ls}) (x : a) : + ls':list a{ + length ls' = length ls /\ + index ls' i == x + } +#push-options "--fuel 1" +let rec list_update #a ls i x = + match ls with + | x' :: ls -> if i = 0 then x :: ls else x' :: list_update ls (i-1) x +#pop-options + +(*** Result *) +type error : Type0 = +| Failure +| OutOfFuel + +type result (a : Type0) : Type0 = +| Return : v:a -> result a +| Fail : e:error -> result a + +// Monadic return operator +unfold let return (#a : Type0) (x : a) : result a = Return x + +// Monadic bind operator. +// Allows to use the notation: +// ``` +// let* x = y in +// ... +// ``` +unfold let (let*) (#a #b : Type0) (m: result a) + (f: (x:a) -> Pure (result b) (requires (m == Return x)) (ensures fun _ -> True)) : + result b = + match m with + | Return x -> f x + | Fail e -> Fail e + +// Monadic assert(...) +let massert (b:bool) : result unit = if b then Return () else Fail Failure + +// Normalize and unwrap a successful result (used for globals). +let eval_global (#a : Type0) (x : result a{Return? (normalize_term x)}) : a = Return?.v x + +(*** Misc *) +type char = FStar.Char.char +type string = string + +let is_zero (n: nat) : bool = n = 0 +let decrease (n: nat{n > 0}) : nat = n - 1 + +let core_mem_replace (a : Type0) (x : a) (y : a) : a = x +let core_mem_replace_back (a : Type0) (x : a) (y : a) : a = y + +// We don't really use raw pointers for now +type mut_raw_ptr (t : Type0) = { v : t } +type const_raw_ptr (t : Type0) = { v : t } + +(*** Scalars *) +/// Rem.: most of the following code was partially generated + +assume val size_numbits : pos + +// TODO: we could use FStar.Int.int_t and FStar.UInt.int_t + +let isize_min : int = -9223372036854775808 // TODO: should be opaque +let isize_max : int = 9223372036854775807 // TODO: should be opaque +let i8_min : int = -128 +let i8_max : int = 127 +let i16_min : int = -32768 +let i16_max : int = 32767 +let i32_min : int = -2147483648 +let i32_max : int = 2147483647 +let i64_min : int = -9223372036854775808 +let i64_max : int = 9223372036854775807 +let i128_min : int = -170141183460469231731687303715884105728 +let i128_max : int = 170141183460469231731687303715884105727 +let usize_min : int = 0 +let usize_max : int = 4294967295 // TODO: should be opaque +let u8_min : int = 0 +let u8_max : int = 255 +let u16_min : int = 0 +let u16_max : int = 65535 +let u32_min : int = 0 +let u32_max : int = 4294967295 +let u64_min : int = 0 +let u64_max : int = 18446744073709551615 +let u128_min : int = 0 +let u128_max : int = 340282366920938463463374607431768211455 + +type scalar_ty = +| Isize +| I8 +| I16 +| I32 +| I64 +| I128 +| Usize +| U8 +| U16 +| U32 +| U64 +| U128 + +let is_unsigned = function + | Isize | I8 | I16 | I32 | I64 | I128 -> false + | Usize | U8 | U16 | U32 | U64 | U128 -> true + +let scalar_min (ty : scalar_ty) : int = + match ty with + | Isize -> isize_min + | I8 -> i8_min + | I16 -> i16_min + | I32 -> i32_min + | I64 -> i64_min + | I128 -> i128_min + | Usize -> usize_min + | U8 -> u8_min + | U16 -> u16_min + | U32 -> u32_min + | U64 -> u64_min + | U128 -> u128_min + +let scalar_max (ty : scalar_ty) : int = + match ty with + | Isize -> isize_max + | I8 -> i8_max + | I16 -> i16_max + | I32 -> i32_max + | I64 -> i64_max + | I128 -> i128_max + | Usize -> usize_max + | U8 -> u8_max + | U16 -> u16_max + | U32 -> u32_max + | U64 -> u64_max + | U128 -> u128_max + +type scalar (ty : scalar_ty) : eqtype = x:int{scalar_min ty <= x && x <= scalar_max ty} + +let mk_scalar (ty : scalar_ty) (x : int) : result (scalar ty) = + if scalar_min ty <= x && scalar_max ty >= x then Return x else Fail Failure + +let scalar_neg (#ty : scalar_ty) (x : scalar ty) : result (scalar ty) = mk_scalar ty (-x) + +let scalar_div (#ty : scalar_ty) (x : scalar ty) (y : scalar ty) : result (scalar ty) = + if y <> 0 then mk_scalar ty (x / y) else Fail Failure + +/// The remainder operation +let int_rem (x : int) (y : int{y <> 0}) : int = + if x >= 0 then (x % y) else -(x % y) + +(* Checking consistency with Rust *) +let _ = assert_norm(int_rem 1 2 = 1) +let _ = assert_norm(int_rem (-1) 2 = -1) +let _ = assert_norm(int_rem 1 (-2) = 1) +let _ = assert_norm(int_rem (-1) (-2) = -1) + +let scalar_rem (#ty : scalar_ty) (x : scalar ty) (y : scalar ty) : result (scalar ty) = + if y <> 0 then mk_scalar ty (int_rem x y) else Fail Failure + +let scalar_add (#ty : scalar_ty) (x : scalar ty) (y : scalar ty) : result (scalar ty) = + mk_scalar ty (x + y) + +let scalar_sub (#ty : scalar_ty) (x : scalar ty) (y : scalar ty) : result (scalar ty) = + mk_scalar ty (x - y) + +let scalar_mul (#ty : scalar_ty) (x : scalar ty) (y : scalar ty) : result (scalar ty) = + mk_scalar ty (x * y) + +let scalar_xor (#ty : scalar_ty) + (x : scalar ty) (y : scalar ty) : scalar ty = + match ty with + | U8 -> FStar.UInt.logxor #8 x y + | U16 -> FStar.UInt.logxor #16 x y + | U32 -> FStar.UInt.logxor #32 x y + | U64 -> FStar.UInt.logxor #64 x y + | U128 -> FStar.UInt.logxor #128 x y + | Usize -> admit() // TODO + | I8 -> + // Encoding issues... + normalize_spec (FStar.Int.int_t 8); + normalize_spec (scalar I8); + FStar.Int.logxor #8 x y + | I16 -> + // Encoding issues... + normalize_spec (FStar.Int.int_t 16); + normalize_spec (scalar I16); + FStar.Int.logxor #16 x y + | I32 -> FStar.Int.logxor #32 x y + | I64 -> FStar.Int.logxor #64 x y + | I128 -> + // Encoding issues... + normalize_spec (FStar.Int.int_t 128); + normalize_spec (scalar I128); + FStar.Int.logxor #128 x y + | Isize -> admit() // TODO + +let scalar_or (#ty : scalar_ty) + (x : scalar ty) (y : scalar ty) : scalar ty = + match ty with + | U8 -> FStar.UInt.logor #8 x y + | U16 -> FStar.UInt.logor #16 x y + | U32 -> FStar.UInt.logor #32 x y + | U64 -> FStar.UInt.logor #64 x y + | U128 -> FStar.UInt.logor #128 x y + | Usize -> admit() // TODO + | I8 -> + // Encoding issues... + normalize_spec (FStar.Int.int_t 8); + normalize_spec (scalar I8); + FStar.Int.logor #8 x y + | I16 -> + // Encoding issues... + normalize_spec (FStar.Int.int_t 16); + normalize_spec (scalar I16); + FStar.Int.logor #16 x y + | I32 -> FStar.Int.logor #32 x y + | I64 -> FStar.Int.logor #64 x y + | I128 -> + // Encoding issues... + normalize_spec (FStar.Int.int_t 128); + normalize_spec (scalar I128); + FStar.Int.logor #128 x y + | Isize -> admit() // TODO + +let scalar_and (#ty : scalar_ty) + (x : scalar ty) (y : scalar ty) : scalar ty = + match ty with + | U8 -> FStar.UInt.logand #8 x y + | U16 -> FStar.UInt.logand #16 x y + | U32 -> FStar.UInt.logand #32 x y + | U64 -> FStar.UInt.logand #64 x y + | U128 -> FStar.UInt.logand #128 x y + | Usize -> admit() // TODO + | I8 -> + // Encoding issues... + normalize_spec (FStar.Int.int_t 8); + normalize_spec (scalar I8); + FStar.Int.logand #8 x y + | I16 -> + // Encoding issues... + normalize_spec (FStar.Int.int_t 16); + normalize_spec (scalar I16); + FStar.Int.logand #16 x y + | I32 -> FStar.Int.logand #32 x y + | I64 -> FStar.Int.logand #64 x y + | I128 -> + // Encoding issues... + normalize_spec (FStar.Int.int_t 128); + normalize_spec (scalar I128); + FStar.Int.logand #128 x y + | Isize -> admit() // TODO + +// Shift left +let scalar_shl (#ty0 #ty1 : scalar_ty) + (x : scalar ty0) (y : scalar ty1) : result (scalar ty0) = + admit() + +// Shift right +let scalar_shr (#ty0 #ty1 : scalar_ty) + (x : scalar ty0) (y : scalar ty1) : result (scalar ty0) = + admit() + +(** Cast an integer from a [src_ty] to a [tgt_ty] *) +// TODO: check the semantics of casts in Rust +let scalar_cast (src_ty : scalar_ty) (tgt_ty : scalar_ty) (x : scalar src_ty) : result (scalar tgt_ty) = + mk_scalar tgt_ty x + +// This can't fail, but for now we make all casts faillible (easier for the translation) +let scalar_cast_bool (tgt_ty : scalar_ty) (x : bool) : result (scalar tgt_ty) = + mk_scalar tgt_ty (if x then 1 else 0) + +/// The scalar types +type isize : eqtype = scalar Isize +type i8 : eqtype = scalar I8 +type i16 : eqtype = scalar I16 +type i32 : eqtype = scalar I32 +type i64 : eqtype = scalar I64 +type i128 : eqtype = scalar I128 +type usize : eqtype = scalar Usize +type u8 : eqtype = scalar U8 +type u16 : eqtype = scalar U16 +type u32 : eqtype = scalar U32 +type u64 : eqtype = scalar U64 +type u128 : eqtype = scalar U128 + + +let core_isize_min : isize = isize_min +let core_isize_max : isize = isize_max +let core_i8_min : i8 = i8_min +let core_i8_max : i8 = i8_max +let core_i16_min : i16 = i16_min +let core_i16_max : i16 = i16_max +let core_i32_min : i32 = i32_min +let core_i32_max : i32 = i32_max +let core_i64_min : i64 = i64_min +let core_i64_max : i64 = i64_max +let core_i128_min : i128 = i128_min +let core_i128_max : i128 = i128_max + +let core_usize_min : usize = usize_min +let core_usize_max : usize = usize_max +let core_u8_min : u8 = u8_min +let core_u8_max : u8 = u8_max +let core_u16_min : u16 = u16_min +let core_u16_max : u16 = u16_max +let core_u32_min : u32 = u32_min +let core_u32_max : u32 = u32_max +let core_u64_min : u64 = u64_min +let core_u64_max : u64 = u64_max +let core_u128_min : u128 = u128_min +let core_u128_max : u128 = u128_max + +/// Negation +let isize_neg = scalar_neg #Isize +let i8_neg = scalar_neg #I8 +let i16_neg = scalar_neg #I16 +let i32_neg = scalar_neg #I32 +let i64_neg = scalar_neg #I64 +let i128_neg = scalar_neg #I128 + +/// Division +let isize_div = scalar_div #Isize +let i8_div = scalar_div #I8 +let i16_div = scalar_div #I16 +let i32_div = scalar_div #I32 +let i64_div = scalar_div #I64 +let i128_div = scalar_div #I128 +let usize_div = scalar_div #Usize +let u8_div = scalar_div #U8 +let u16_div = scalar_div #U16 +let u32_div = scalar_div #U32 +let u64_div = scalar_div #U64 +let u128_div = scalar_div #U128 + +/// Remainder +let isize_rem = scalar_rem #Isize +let i8_rem = scalar_rem #I8 +let i16_rem = scalar_rem #I16 +let i32_rem = scalar_rem #I32 +let i64_rem = scalar_rem #I64 +let i128_rem = scalar_rem #I128 +let usize_rem = scalar_rem #Usize +let u8_rem = scalar_rem #U8 +let u16_rem = scalar_rem #U16 +let u32_rem = scalar_rem #U32 +let u64_rem = scalar_rem #U64 +let u128_rem = scalar_rem #U128 + +/// Addition +let isize_add = scalar_add #Isize +let i8_add = scalar_add #I8 +let i16_add = scalar_add #I16 +let i32_add = scalar_add #I32 +let i64_add = scalar_add #I64 +let i128_add = scalar_add #I128 +let usize_add = scalar_add #Usize +let u8_add = scalar_add #U8 +let u16_add = scalar_add #U16 +let u32_add = scalar_add #U32 +let u64_add = scalar_add #U64 +let u128_add = scalar_add #U128 + +/// Subtraction +let isize_sub = scalar_sub #Isize +let i8_sub = scalar_sub #I8 +let i16_sub = scalar_sub #I16 +let i32_sub = scalar_sub #I32 +let i64_sub = scalar_sub #I64 +let i128_sub = scalar_sub #I128 +let usize_sub = scalar_sub #Usize +let u8_sub = scalar_sub #U8 +let u16_sub = scalar_sub #U16 +let u32_sub = scalar_sub #U32 +let u64_sub = scalar_sub #U64 +let u128_sub = scalar_sub #U128 + +/// Multiplication +let isize_mul = scalar_mul #Isize +let i8_mul = scalar_mul #I8 +let i16_mul = scalar_mul #I16 +let i32_mul = scalar_mul #I32 +let i64_mul = scalar_mul #I64 +let i128_mul = scalar_mul #I128 +let usize_mul = scalar_mul #Usize +let u8_mul = scalar_mul #U8 +let u16_mul = scalar_mul #U16 +let u32_mul = scalar_mul #U32 +let u64_mul = scalar_mul #U64 +let u128_mul = scalar_mul #U128 + +/// Xor +let u8_xor = scalar_xor #U8 +let u16_xor = scalar_xor #U16 +let u32_xor = scalar_xor #U32 +let u64_xor = scalar_xor #U64 +let u128_xor = scalar_xor #U128 +let usize_xor = scalar_xor #Usize +let i8_xor = scalar_xor #I8 +let i16_xor = scalar_xor #I16 +let i32_xor = scalar_xor #I32 +let i64_xor = scalar_xor #I64 +let i128_xor = scalar_xor #I128 +let isize_xor = scalar_xor #Isize + +/// Or +let u8_or = scalar_or #U8 +let u16_or = scalar_or #U16 +let u32_or = scalar_or #U32 +let u64_or = scalar_or #U64 +let u128_or = scalar_or #U128 +let usize_or = scalar_or #Usize +let i8_or = scalar_or #I8 +let i16_or = scalar_or #I16 +let i32_or = scalar_or #I32 +let i64_or = scalar_or #I64 +let i128_or = scalar_or #I128 +let isize_or = scalar_or #Isize + +/// And +let u8_and = scalar_and #U8 +let u16_and = scalar_and #U16 +let u32_and = scalar_and #U32 +let u64_and = scalar_and #U64 +let u128_and = scalar_and #U128 +let usize_and = scalar_and #Usize +let i8_and = scalar_and #I8 +let i16_and = scalar_and #I16 +let i32_and = scalar_and #I32 +let i64_and = scalar_and #I64 +let i128_and = scalar_and #I128 +let isize_and = scalar_and #Isize + +/// Shift left +let u8_shl #ty = scalar_shl #U8 #ty +let u16_shl #ty = scalar_shl #U16 #ty +let u32_shl #ty = scalar_shl #U32 #ty +let u64_shl #ty = scalar_shl #U64 #ty +let u128_shl #ty = scalar_shl #U128 #ty +let usize_shl #ty = scalar_shl #Usize #ty +let i8_shl #ty = scalar_shl #I8 #ty +let i16_shl #ty = scalar_shl #I16 #ty +let i32_shl #ty = scalar_shl #I32 #ty +let i64_shl #ty = scalar_shl #I64 #ty +let i128_shl #ty = scalar_shl #I128 #ty +let isize_shl #ty = scalar_shl #Isize #ty + +/// Shift right +let u8_shr #ty = scalar_shr #U8 #ty +let u16_shr #ty = scalar_shr #U16 #ty +let u32_shr #ty = scalar_shr #U32 #ty +let u64_shr #ty = scalar_shr #U64 #ty +let u128_shr #ty = scalar_shr #U128 #ty +let usize_shr #ty = scalar_shr #Usize #ty +let i8_shr #ty = scalar_shr #I8 #ty +let i16_shr #ty = scalar_shr #I16 #ty +let i32_shr #ty = scalar_shr #I32 #ty +let i64_shr #ty = scalar_shr #I64 #ty +let i128_shr #ty = scalar_shr #I128 #ty +let isize_shr #ty = scalar_shr #Isize #ty + +(*** core::ops *) + +// Trait declaration: [core::ops::index::Index] +noeq type core_ops_index_Index (self idx : Type0) = { + output : Type0; + index : self → idx → result output +} + +// Trait declaration: [core::ops::index::IndexMut] +noeq type core_ops_index_IndexMut (self idx : Type0) = { + indexInst : core_ops_index_Index self idx; + index_mut : self → idx → result indexInst.output; + index_mut_back : self → idx → indexInst.output → result self; +} + +// Trait declaration [core::ops::deref::Deref] +noeq type core_ops_deref_Deref (self : Type0) = { + target : Type0; + deref : self → result target; +} + +// Trait declaration [core::ops::deref::DerefMut] +noeq type core_ops_deref_DerefMut (self : Type0) = { + derefInst : core_ops_deref_Deref self; + deref_mut : self → result derefInst.target; + deref_mut_back : self → derefInst.target → result self; +} + +type core_ops_range_Range (a : Type0) = { + start : a; + end_ : a; +} + +(*** [alloc] *) + +let alloc_boxed_Box_deref (t : Type0) (x : t) : result t = Return x +let alloc_boxed_Box_deref_mut (t : Type0) (x : t) : result t = Return x +let alloc_boxed_Box_deref_mut_back (t : Type) (_ : t) (x : t) : result t = Return x + +// Trait instance +let alloc_boxed_Box_coreopsDerefInst (self : Type0) : core_ops_deref_Deref self = { + target = self; + deref = alloc_boxed_Box_deref self; +} + +// Trait instance +let alloc_boxed_Box_coreopsDerefMutInst (self : Type0) : core_ops_deref_DerefMut self = { + derefInst = alloc_boxed_Box_coreopsDerefInst self; + deref_mut = alloc_boxed_Box_deref_mut self; + deref_mut_back = alloc_boxed_Box_deref_mut_back self; +} + +(*** Array *) +type array (a : Type0) (n : usize) = s:list a{length s = n} + +// We tried putting the normalize_term condition as a refinement on the list +// but it didn't work. It works with the requires clause. +let mk_array (a : Type0) (n : usize) + (l : list a) : + Pure (array a n) + (requires (normalize_term(FStar.List.Tot.length l) = n)) + (ensures (fun _ -> True)) = + normalize_term_spec (FStar.List.Tot.length l); + l + +let array_index_usize (a : Type0) (n : usize) (x : array a n) (i : usize) : result a = + if i < length x then Return (index x i) + else Fail Failure + +let array_update_usize (a : Type0) (n : usize) (x : array a n) (i : usize) (nx : a) : result (array a n) = + if i < length x then Return (list_update x i nx) + else Fail Failure + +(*** Slice *) +type slice (a : Type0) = s:list a{length s <= usize_max} + +let slice_len (a : Type0) (s : slice a) : usize = length s + +let slice_index_usize (a : Type0) (x : slice a) (i : usize) : result a = + if i < length x then Return (index x i) + else Fail Failure + +let slice_update_usize (a : Type0) (x : slice a) (i : usize) (nx : a) : result (slice a) = + if i < length x then Return (list_update x i nx) + else Fail Failure + +(*** Subslices *) + +let array_to_slice (a : Type0) (n : usize) (x : array a n) : result (slice a) = Return x +let array_from_slice (a : Type0) (n : usize) (x : array a n) (s : slice a) : result (array a n) = + if length s = n then Return s + else Fail Failure + +// TODO: finish the definitions below (there lacks [List.drop] and [List.take] in the standard library *) +let array_subslice (a : Type0) (n : usize) (x : array a n) (r : core_ops_range_Range usize) : result (slice a) = + admit() + +let array_update_subslice (a : Type0) (n : usize) (x : array a n) (r : core_ops_range_Range usize) (ns : slice a) : result (array a n) = + admit() + +let array_repeat (a : Type0) (n : usize) (x : a) : array a n = + admit() + +let slice_subslice (a : Type0) (x : slice a) (r : core_ops_range_Range usize) : result (slice a) = + admit() + +let slice_update_subslice (a : Type0) (x : slice a) (r : core_ops_range_Range usize) (ns : slice a) : result (slice a) = + admit() + +(*** Vector *) +type alloc_vec_Vec (a : Type0) = v:list a{length v <= usize_max} + +let alloc_vec_Vec_new (a : Type0) : alloc_vec_Vec a = assert_norm(length #a [] == 0); [] +let alloc_vec_Vec_len (a : Type0) (v : alloc_vec_Vec a) : usize = length v + +// Helper +let alloc_vec_Vec_index_usize (#a : Type0) (v : alloc_vec_Vec a) (i : usize) : result a = + if i < length v then Return (index v i) else Fail Failure +// Helper +let alloc_vec_Vec_update_usize (#a : Type0) (v : alloc_vec_Vec a) (i : usize) (x : a) : result (alloc_vec_Vec a) = + if i < length v then Return (list_update v i x) else Fail Failure + +// The **forward** function shouldn't be used +let alloc_vec_Vec_push_fwd (a : Type0) (v : alloc_vec_Vec a) (x : a) : unit = () +let alloc_vec_Vec_push (a : Type0) (v : alloc_vec_Vec a) (x : a) : + Pure (result (alloc_vec_Vec a)) + (requires True) + (ensures (fun res -> + match res with + | Fail e -> e == Failure + | Return v' -> length v' = length v + 1)) = + if length v < usize_max then begin + (**) assert_norm(length [x] == 1); + (**) append_length v [x]; + (**) assert(length (append v [x]) = length v + 1); + Return (append v [x]) + end + else Fail Failure + +// The **forward** function shouldn't be used +let alloc_vec_Vec_insert_fwd (a : Type0) (v : alloc_vec_Vec a) (i : usize) (x : a) : result unit = + if i < length v then Return () else Fail Failure +let alloc_vec_Vec_insert (a : Type0) (v : alloc_vec_Vec a) (i : usize) (x : a) : result (alloc_vec_Vec a) = + if i < length v then Return (list_update v i x) else Fail Failure + +// Trait declaration: [core::slice::index::private_slice_index::Sealed] +type core_slice_index_private_slice_index_Sealed (self : Type0) = unit + +// Trait declaration: [core::slice::index::SliceIndex] +noeq type core_slice_index_SliceIndex (self t : Type0) = { + sealedInst : core_slice_index_private_slice_index_Sealed self; + output : Type0; + get : self → t → result (option output); + get_mut : self → t → result (option output); + get_mut_back : self → t → option output → result t; + get_unchecked : self → const_raw_ptr t → result (const_raw_ptr output); + get_unchecked_mut : self → mut_raw_ptr t → result (mut_raw_ptr output); + index : self → t → result output; + index_mut : self → t → result output; + index_mut_back : self → t → output → result t; +} + +// [core::slice::index::[T]::index]: forward function +let core_slice_index_Slice_index + (t idx : Type0) (inst : core_slice_index_SliceIndex idx (slice t)) + (s : slice t) (i : idx) : result inst.output = + let* x = inst.get i s in + match x with + | None -> Fail Failure + | Some x -> Return x + +// [core::slice::index::Range:::get]: forward function +let core_slice_index_RangeUsize_get (t : Type0) (i : core_ops_range_Range usize) (s : slice t) : + result (option (slice t)) = + admit () // TODO + +// [core::slice::index::Range::get_mut]: forward function +let core_slice_index_RangeUsize_get_mut + (t : Type0) : core_ops_range_Range usize → slice t → result (option (slice t)) = + admit () // TODO + +// [core::slice::index::Range::get_mut]: backward function 0 +let core_slice_index_RangeUsize_get_mut_back + (t : Type0) : + core_ops_range_Range usize → slice t → option (slice t) → result (slice t) = + admit () // TODO + +// [core::slice::index::Range::get_unchecked]: forward function +let core_slice_index_RangeUsize_get_unchecked + (t : Type0) : + core_ops_range_Range usize → const_raw_ptr (slice t) → result (const_raw_ptr (slice t)) = + // Don't know what the model should be - for now we always fail to make + // sure code which uses it fails + fun _ _ -> Fail Failure + +// [core::slice::index::Range::get_unchecked_mut]: forward function +let core_slice_index_RangeUsize_get_unchecked_mut + (t : Type0) : + core_ops_range_Range usize → mut_raw_ptr (slice t) → result (mut_raw_ptr (slice t)) = + // Don't know what the model should be - for now we always fail to make + // sure code which uses it fails + fun _ _ -> Fail Failure + +// [core::slice::index::Range::index]: forward function +let core_slice_index_RangeUsize_index + (t : Type0) : core_ops_range_Range usize → slice t → result (slice t) = + admit () // TODO + +// [core::slice::index::Range::index_mut]: forward function +let core_slice_index_RangeUsize_index_mut + (t : Type0) : core_ops_range_Range usize → slice t → result (slice t) = + admit () // TODO + +// [core::slice::index::Range::index_mut]: backward function 0 +let core_slice_index_RangeUsize_index_mut_back + (t : Type0) : core_ops_range_Range usize → slice t → slice t → result (slice t) = + admit () // TODO + +// [core::slice::index::[T]::index_mut]: forward function +let core_slice_index_Slice_index_mut + (t idx : Type0) (inst : core_slice_index_SliceIndex idx (slice t)) : + slice t → idx → result inst.output = + admit () // + +// [core::slice::index::[T]::index_mut]: backward function 0 +let core_slice_index_Slice_index_mut_back + (t idx : Type0) (inst : core_slice_index_SliceIndex idx (slice t)) : + slice t → idx → inst.output → result (slice t) = + admit () // TODO + +// [core::array::[T; N]::index]: forward function +let core_array_Array_index + (t idx : Type0) (n : usize) (inst : core_ops_index_Index (slice t) idx) + (a : array t n) (i : idx) : result inst.output = + admit () // TODO + +// [core::array::[T; N]::index_mut]: forward function +let core_array_Array_index_mut + (t idx : Type0) (n : usize) (inst : core_ops_index_IndexMut (slice t) idx) + (a : array t n) (i : idx) : result inst.indexInst.output = + admit () // TODO + +// [core::array::[T; N]::index_mut]: backward function 0 +let core_array_Array_index_mut_back + (t idx : Type0) (n : usize) (inst : core_ops_index_IndexMut (slice t) idx) + (a : array t n) (i : idx) (x : inst.indexInst.output) : result (array t n) = + admit () // TODO + +// Trait implementation: [core::slice::index::private_slice_index::Range] +let core_slice_index_private_slice_index_SealedRangeUsizeInst + : core_slice_index_private_slice_index_Sealed (core_ops_range_Range usize) = () + +// Trait implementation: [core::slice::index::Range] +let core_slice_index_SliceIndexRangeUsizeSliceTInst (t : Type0) : + core_slice_index_SliceIndex (core_ops_range_Range usize) (slice t) = { + sealedInst = core_slice_index_private_slice_index_SealedRangeUsizeInst; + output = slice t; + get = core_slice_index_RangeUsize_get t; + get_mut = core_slice_index_RangeUsize_get_mut t; + get_mut_back = core_slice_index_RangeUsize_get_mut_back t; + get_unchecked = core_slice_index_RangeUsize_get_unchecked t; + get_unchecked_mut = core_slice_index_RangeUsize_get_unchecked_mut t; + index = core_slice_index_RangeUsize_index t; + index_mut = core_slice_index_RangeUsize_index_mut t; + index_mut_back = core_slice_index_RangeUsize_index_mut_back t; +} + +// Trait implementation: [core::slice::index::[T]] +let core_ops_index_IndexSliceTIInst (t idx : Type0) + (inst : core_slice_index_SliceIndex idx (slice t)) : + core_ops_index_Index (slice t) idx = { + output = inst.output; + index = core_slice_index_Slice_index t idx inst; +} + +// Trait implementation: [core::slice::index::[T]] +let core_ops_index_IndexMutSliceTIInst (t idx : Type0) + (inst : core_slice_index_SliceIndex idx (slice t)) : + core_ops_index_IndexMut (slice t) idx = { + indexInst = core_ops_index_IndexSliceTIInst t idx inst; + index_mut = core_slice_index_Slice_index_mut t idx inst; + index_mut_back = core_slice_index_Slice_index_mut_back t idx inst; +} + +// Trait implementation: [core::array::[T; N]] +let core_ops_index_IndexArrayInst (t idx : Type0) (n : usize) + (inst : core_ops_index_Index (slice t) idx) : + core_ops_index_Index (array t n) idx = { + output = inst.output; + index = core_array_Array_index t idx n inst; +} + +// Trait implementation: [core::array::[T; N]] +let core_ops_index_IndexMutArrayIInst (t idx : Type0) (n : usize) + (inst : core_ops_index_IndexMut (slice t) idx) : + core_ops_index_IndexMut (array t n) idx = { + indexInst = core_ops_index_IndexArrayInst t idx n inst.indexInst; + index_mut = core_array_Array_index_mut t idx n inst; + index_mut_back = core_array_Array_index_mut_back t idx n inst; +} + +// [core::slice::index::usize::get]: forward function +let core_slice_index_usize_get + (t : Type0) : usize → slice t → result (option t) = + admit () // TODO + +// [core::slice::index::usize::get_mut]: forward function +let core_slice_index_usize_get_mut + (t : Type0) : usize → slice t → result (option t) = + admit () // TODO + +// [core::slice::index::usize::get_mut]: backward function 0 +let core_slice_index_usize_get_mut_back + (t : Type0) : usize → slice t → option t → result (slice t) = + admit () // TODO + +// [core::slice::index::usize::get_unchecked]: forward function +let core_slice_index_usize_get_unchecked + (t : Type0) : usize → const_raw_ptr (slice t) → result (const_raw_ptr t) = + admit () // TODO + +// [core::slice::index::usize::get_unchecked_mut]: forward function +let core_slice_index_usize_get_unchecked_mut + (t : Type0) : usize → mut_raw_ptr (slice t) → result (mut_raw_ptr t) = + admit () // TODO + +// [core::slice::index::usize::index]: forward function +let core_slice_index_usize_index (t : Type0) : usize → slice t → result t = + admit () // TODO + +// [core::slice::index::usize::index_mut]: forward function +let core_slice_index_usize_index_mut (t : Type0) : usize → slice t → result t = + admit () // TODO + +// [core::slice::index::usize::index_mut]: backward function 0 +let core_slice_index_usize_index_mut_back + (t : Type0) : usize → slice t → t → result (slice t) = + admit () // TODO + +// Trait implementation: [core::slice::index::private_slice_index::usize] +let core_slice_index_private_slice_index_SealedUsizeInst + : core_slice_index_private_slice_index_Sealed usize = () + +// Trait implementation: [core::slice::index::usize] +let core_slice_index_SliceIndexUsizeSliceTInst (t : Type0) : + core_slice_index_SliceIndex usize (slice t) = { + sealedInst = core_slice_index_private_slice_index_SealedUsizeInst; + output = t; + get = core_slice_index_usize_get t; + get_mut = core_slice_index_usize_get_mut t; + get_mut_back = core_slice_index_usize_get_mut_back t; + get_unchecked = core_slice_index_usize_get_unchecked t; + get_unchecked_mut = core_slice_index_usize_get_unchecked_mut t; + index = core_slice_index_usize_index t; + index_mut = core_slice_index_usize_index_mut t; + index_mut_back = core_slice_index_usize_index_mut_back t; +} + +// [alloc::vec::Vec::index]: forward function +let alloc_vec_Vec_index (t idx : Type0) (inst : core_slice_index_SliceIndex idx (slice t)) + (self : alloc_vec_Vec t) (i : idx) : result inst.output = + admit () // TODO + +// [alloc::vec::Vec::index_mut]: forward function +let alloc_vec_Vec_index_mut (t idx : Type0) (inst : core_slice_index_SliceIndex idx (slice t)) + (self : alloc_vec_Vec t) (i : idx) : result inst.output = + admit () // TODO + +// [alloc::vec::Vec::index_mut]: backward function 0 +let alloc_vec_Vec_index_mut_back + (t idx : Type0) (inst : core_slice_index_SliceIndex idx (slice t)) + (self : alloc_vec_Vec t) (i : idx) (x : inst.output) : result (alloc_vec_Vec t) = + admit () // TODO + +// Trait implementation: [alloc::vec::Vec] +let alloc_vec_Vec_coreopsindexIndexInst (t idx : Type0) + (inst : core_slice_index_SliceIndex idx (slice t)) : + core_ops_index_Index (alloc_vec_Vec t) idx = { + output = inst.output; + index = alloc_vec_Vec_index t idx inst; +} + +// Trait implementation: [alloc::vec::Vec] +let alloc_vec_Vec_coreopsindexIndexMutInst (t idx : Type0) + (inst : core_slice_index_SliceIndex idx (slice t)) : + core_ops_index_IndexMut (alloc_vec_Vec t) idx = { + indexInst = alloc_vec_Vec_coreopsindexIndexInst t idx inst; + index_mut = alloc_vec_Vec_index_mut t idx inst; + index_mut_back = alloc_vec_Vec_index_mut_back t idx inst; +} + +(*** Theorems *) + +let alloc_vec_Vec_index_eq (#a : Type0) (v : alloc_vec_Vec a) (i : usize) : + Lemma ( + alloc_vec_Vec_index a usize (core_slice_index_SliceIndexUsizeSliceTInst a) v i == + alloc_vec_Vec_index_usize v i) + [SMTPat (alloc_vec_Vec_index a usize (core_slice_index_SliceIndexUsizeSliceTInst a) v i)] + = + admit() + +let alloc_vec_Vec_index_mut_eq (#a : Type0) (v : alloc_vec_Vec a) (i : usize) : + Lemma ( + alloc_vec_Vec_index_mut a usize (core_slice_index_SliceIndexUsizeSliceTInst a) v i == + alloc_vec_Vec_index_usize v i) + [SMTPat (alloc_vec_Vec_index_mut a usize (core_slice_index_SliceIndexUsizeSliceTInst a) v i)] + = + admit() + +let alloc_vec_Vec_index_mut_back_eq (#a : Type0) (v : alloc_vec_Vec a) (i : usize) (x : a) : + Lemma ( + alloc_vec_Vec_index_mut_back a usize (core_slice_index_SliceIndexUsizeSliceTInst a) v i x == + alloc_vec_Vec_update_usize v i x) + [SMTPat (alloc_vec_Vec_index_mut_back a usize (core_slice_index_SliceIndexUsizeSliceTInst a) v i x)] + = + admit() diff --git a/tests/fstar-split/traits/Traits.fst b/tests/fstar-split/traits/Traits.fst new file mode 100644 index 00000000..d3847590 --- /dev/null +++ b/tests/fstar-split/traits/Traits.fst @@ -0,0 +1,476 @@ +(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *) +(** [traits] *) +module Traits +open Primitives + +#set-options "--z3rlimit 50 --fuel 1 --ifuel 1" + +(** Trait declaration: [traits::BoolTrait] + Source: 'src/traits.rs', lines 1:0-1:19 *) +noeq type boolTrait_t (self : Type0) = { get_bool : self -> result bool; } + +(** [traits::{bool}::get_bool]: forward function + Source: 'src/traits.rs', lines 12:4-12:30 *) +let bool_get_bool (self : bool) : result bool = + Return self + +(** Trait implementation: [traits::{bool}] + Source: 'src/traits.rs', lines 11:0-11:23 *) +let traits_BoolTraitBoolInst : boolTrait_t bool = { get_bool = bool_get_bool; } + +(** [traits::BoolTrait::ret_true]: forward function + Source: 'src/traits.rs', lines 6:4-6:30 *) +let boolTrait_ret_true + (#self : Type0) (self_clause : boolTrait_t self) (self1 : self) : + result bool + = + Return true + +(** [traits::test_bool_trait_bool]: forward function + Source: 'src/traits.rs', lines 17:0-17:44 *) +let test_bool_trait_bool (x : bool) : result bool = + let* b = bool_get_bool x in + if b then boolTrait_ret_true traits_BoolTraitBoolInst x else Return false + +(** [traits::{core::option::Option<T>#1}::get_bool]: forward function + Source: 'src/traits.rs', lines 23:4-23:30 *) +let option_get_bool (t : Type0) (self : option t) : result bool = + begin match self with | None -> Return false | Some _ -> Return true end + +(** Trait implementation: [traits::{core::option::Option<T>#1}] + Source: 'src/traits.rs', lines 22:0-22:31 *) +let traits_BoolTraitcoreoptionOptionTInst (t : Type0) : boolTrait_t (option t) + = { + get_bool = option_get_bool t; +} + +(** [traits::test_bool_trait_option]: forward function + Source: 'src/traits.rs', lines 31:0-31:54 *) +let test_bool_trait_option (t : Type0) (x : option t) : result bool = + let* b = option_get_bool t x in + if b + then boolTrait_ret_true (traits_BoolTraitcoreoptionOptionTInst t) x + else Return false + +(** [traits::test_bool_trait]: forward function + Source: 'src/traits.rs', lines 35:0-35:50 *) +let test_bool_trait + (t : Type0) (boolTraitTInst : boolTrait_t t) (x : t) : result bool = + boolTraitTInst.get_bool x + +(** Trait declaration: [traits::ToU64] + Source: 'src/traits.rs', lines 39:0-39:15 *) +noeq type toU64_t (self : Type0) = { to_u64 : self -> result u64; } + +(** [traits::{u64#2}::to_u64]: forward function + Source: 'src/traits.rs', lines 44:4-44:26 *) +let u64_to_u64 (self : u64) : result u64 = + Return self + +(** Trait implementation: [traits::{u64#2}] + Source: 'src/traits.rs', lines 43:0-43:18 *) +let traits_ToU64U64Inst : toU64_t u64 = { to_u64 = u64_to_u64; } + +(** [traits::{(A, A)#3}::to_u64]: forward function + Source: 'src/traits.rs', lines 50:4-50:26 *) +let pair_to_u64 + (a : Type0) (toU64AInst : toU64_t a) (self : (a & a)) : result u64 = + let (x, x1) = self in + let* i = toU64AInst.to_u64 x in + let* i1 = toU64AInst.to_u64 x1 in + u64_add i i1 + +(** Trait implementation: [traits::{(A, A)#3}] + Source: 'src/traits.rs', lines 49:0-49:31 *) +let traits_ToU64TupleAAInst (a : Type0) (toU64AInst : toU64_t a) : toU64_t (a & + a) = { + to_u64 = pair_to_u64 a toU64AInst; +} + +(** [traits::f]: forward function + Source: 'src/traits.rs', lines 55:0-55:36 *) +let f (t : Type0) (toU64TInst : toU64_t t) (x : (t & t)) : result u64 = + pair_to_u64 t toU64TInst x + +(** [traits::g]: forward function + Source: 'src/traits.rs', lines 59:0-61:18 *) +let g + (t : Type0) (toU64TupleTTInst : toU64_t (t & t)) (x : (t & t)) : result u64 = + toU64TupleTTInst.to_u64 x + +(** [traits::h0]: forward function + Source: 'src/traits.rs', lines 66:0-66:24 *) +let h0 (x : u64) : result u64 = + u64_to_u64 x + +(** [traits::Wrapper] + Source: 'src/traits.rs', lines 70:0-70:21 *) +type wrapper_t (t : Type0) = { x : t; } + +(** [traits::{traits::Wrapper<T>#4}::to_u64]: forward function + Source: 'src/traits.rs', lines 75:4-75:26 *) +let wrapper_to_u64 + (t : Type0) (toU64TInst : toU64_t t) (self : wrapper_t t) : result u64 = + toU64TInst.to_u64 self.x + +(** Trait implementation: [traits::{traits::Wrapper<T>#4}] + Source: 'src/traits.rs', lines 74:0-74:35 *) +let traits_ToU64traitsWrapperTInst (t : Type0) (toU64TInst : toU64_t t) : + toU64_t (wrapper_t t) = { + to_u64 = wrapper_to_u64 t toU64TInst; +} + +(** [traits::h1]: forward function + Source: 'src/traits.rs', lines 80:0-80:33 *) +let h1 (x : wrapper_t u64) : result u64 = + wrapper_to_u64 u64 traits_ToU64U64Inst x + +(** [traits::h2]: forward function + Source: 'src/traits.rs', lines 84:0-84:41 *) +let h2 (t : Type0) (toU64TInst : toU64_t t) (x : wrapper_t t) : result u64 = + wrapper_to_u64 t toU64TInst x + +(** Trait declaration: [traits::ToType] + Source: 'src/traits.rs', lines 88:0-88:19 *) +noeq type toType_t (self t : Type0) = { to_type : self -> result t; } + +(** [traits::{u64#5}::to_type]: forward function + Source: 'src/traits.rs', lines 93:4-93:28 *) +let u64_to_type (self : u64) : result bool = + Return (self > 0) + +(** Trait implementation: [traits::{u64#5}] + Source: 'src/traits.rs', lines 92:0-92:25 *) +let traits_ToTypeU64BoolInst : toType_t u64 bool = { to_type = u64_to_type; } + +(** Trait declaration: [traits::OfType] + Source: 'src/traits.rs', lines 98:0-98:16 *) +noeq type ofType_t (self : Type0) = { + of_type : (t : Type0) -> (toTypeTSelfInst : toType_t t self) -> t -> result + self; +} + +(** [traits::h3]: forward function + Source: 'src/traits.rs', lines 104:0-104:50 *) +let h3 + (t1 t2 : Type0) (ofTypeT1Inst : ofType_t t1) (toTypeT2T1Inst : toType_t t2 + t1) (y : t2) : + result t1 + = + ofTypeT1Inst.of_type t2 toTypeT2T1Inst y + +(** Trait declaration: [traits::OfTypeBis] + Source: 'src/traits.rs', lines 109:0-109:36 *) +noeq type ofTypeBis_t (self t : Type0) = { + toTypeTSelfInst : toType_t t self; + of_type : t -> result self; +} + +(** [traits::h4]: forward function + Source: 'src/traits.rs', lines 118:0-118:57 *) +let h4 + (t1 t2 : Type0) (ofTypeBisT1T2Inst : ofTypeBis_t t1 t2) (toTypeT2T1Inst : + toType_t t2 t1) (y : t2) : + result t1 + = + ofTypeBisT1T2Inst.of_type y + +(** [traits::TestType] + Source: 'src/traits.rs', lines 122:0-122:22 *) +type testType_t (t : Type0) = t + +(** [traits::{traits::TestType<T>#6}::test::TestType1] + Source: 'src/traits.rs', lines 127:8-127:24 *) +type testType_test_TestType1_t = u64 + +(** Trait declaration: [traits::{traits::TestType<T>#6}::test::TestTrait] + Source: 'src/traits.rs', lines 128:8-128:23 *) +noeq type testType_test_TestTrait_t (self : Type0) = { + test : self -> result bool; +} + +(** [traits::{traits::TestType<T>#6}::test::{traits::{traits::TestType<T>#6}::test::TestType1}::test]: forward function + Source: 'src/traits.rs', lines 139:12-139:34 *) +let testType_test_TestType1_test + (self : testType_test_TestType1_t) : result bool = + Return (self > 1) + +(** Trait implementation: [traits::{traits::TestType<T>#6}::test::{traits::{traits::TestType<T>#6}::test::TestType1}] + Source: 'src/traits.rs', lines 138:8-138:36 *) +let traits_TestType_test_TestTraittraitstraitsTestTypeTtestTestType1Inst : + testType_test_TestTrait_t testType_test_TestType1_t = { + test = testType_test_TestType1_test; +} + +(** [traits::{traits::TestType<T>#6}::test]: forward function + Source: 'src/traits.rs', lines 126:4-126:36 *) +let testType_test + (t : Type0) (toU64TInst : toU64_t t) (self : testType_t t) (x : t) : + result bool + = + let* x1 = toU64TInst.to_u64 x in + if x1 > 0 then testType_test_TestType1_test 0 else Return false + +(** [traits::BoolWrapper] + Source: 'src/traits.rs', lines 150:0-150:22 *) +type boolWrapper_t = bool + +(** [traits::{traits::BoolWrapper#7}::to_type]: forward function + Source: 'src/traits.rs', lines 156:4-156:25 *) +let boolWrapper_to_type + (t : Type0) (toTypeBoolTInst : toType_t bool t) (self : boolWrapper_t) : + result t + = + toTypeBoolTInst.to_type self + +(** Trait implementation: [traits::{traits::BoolWrapper#7}] + Source: 'src/traits.rs', lines 152:0-152:33 *) +let traits_ToTypetraitsBoolWrapperTInst (t : Type0) (toTypeBoolTInst : toType_t + bool t) : toType_t boolWrapper_t t = { + to_type = boolWrapper_to_type t toTypeBoolTInst; +} + +(** [traits::WithConstTy::LEN2] + Source: 'src/traits.rs', lines 164:4-164:21 *) +let with_const_ty_len2_body : result usize = Return 32 +let with_const_ty_len2_c : usize = eval_global with_const_ty_len2_body + +(** Trait declaration: [traits::WithConstTy] + Source: 'src/traits.rs', lines 161:0-161:39 *) +noeq type withConstTy_t (self : Type0) (len : usize) = { + cLEN1 : usize; + cLEN2 : usize; + tV : Type0; + tW : Type0; + tW_clause_0 : toU64_t tW; + f : tW -> array u8 len -> result tW; +} + +(** [traits::{bool#8}::LEN1] + Source: 'src/traits.rs', lines 175:4-175:21 *) +let bool_len1_body : result usize = Return 12 +let bool_len1_c : usize = eval_global bool_len1_body + +(** [traits::{bool#8}::f]: merged forward/backward function + (there is a single backward function, and the forward function returns ()) + Source: 'src/traits.rs', lines 180:4-180:39 *) +let bool_f (i : u64) (a : array u8 32) : result u64 = + Return i + +(** Trait implementation: [traits::{bool#8}] + Source: 'src/traits.rs', lines 174:0-174:29 *) +let traits_WithConstTyBool32Inst : withConstTy_t bool 32 = { + cLEN1 = bool_len1_c; + cLEN2 = with_const_ty_len2_c; + tV = u8; + tW = u64; + tW_clause_0 = traits_ToU64U64Inst; + f = bool_f; +} + +(** [traits::use_with_const_ty1]: forward function + Source: 'src/traits.rs', lines 183:0-183:75 *) +let use_with_const_ty1 + (h : Type0) (len : usize) (withConstTyHLENInst : withConstTy_t h len) : + result usize + = + Return withConstTyHLENInst.cLEN1 + +(** [traits::use_with_const_ty2]: forward function + Source: 'src/traits.rs', lines 187:0-187:73 *) +let use_with_const_ty2 + (h : Type0) (len : usize) (withConstTyHLENInst : withConstTy_t h len) + (w : withConstTyHLENInst.tW) : + result unit + = + Return () + +(** [traits::use_with_const_ty3]: forward function + Source: 'src/traits.rs', lines 189:0-189:80 *) +let use_with_const_ty3 + (h : Type0) (len : usize) (withConstTyHLENInst : withConstTy_t h len) + (x : withConstTyHLENInst.tW) : + result u64 + = + withConstTyHLENInst.tW_clause_0.to_u64 x + +(** [traits::test_where1]: forward function + Source: 'src/traits.rs', lines 193:0-193:40 *) +let test_where1 (t : Type0) (_x : t) : result unit = + Return () + +(** [traits::test_where2]: forward function + Source: 'src/traits.rs', lines 194:0-194:57 *) +let test_where2 + (t : Type0) (withConstTyT32Inst : withConstTy_t t 32) (_x : u32) : + result unit + = + Return () + +(** Trait declaration: [traits::ParentTrait0] + Source: 'src/traits.rs', lines 200:0-200:22 *) +noeq type parentTrait0_t (self : Type0) = { + tW : Type0; + get_name : self -> result string; + get_w : self -> result tW; +} + +(** Trait declaration: [traits::ParentTrait1] + Source: 'src/traits.rs', lines 205:0-205:22 *) +type parentTrait1_t (self : Type0) = unit + +(** Trait declaration: [traits::ChildTrait] + Source: 'src/traits.rs', lines 206:0-206:49 *) +noeq type childTrait_t (self : Type0) = { + parentTrait0SelfInst : parentTrait0_t self; + parentTrait1SelfInst : parentTrait1_t self; +} + +(** [traits::test_parent_trait0]: forward function + Source: 'src/traits.rs', lines 208:0-208:57 *) +let test_parent_trait0 + (t : Type0) (parentTrait0TInst : parentTrait0_t t) (x : t) : + result parentTrait0TInst.tW + = + parentTrait0TInst.get_w x + +(** [traits::test_child_trait1]: forward function + Source: 'src/traits.rs', lines 213:0-213:56 *) +let test_child_trait1 + (t : Type0) (childTraitTInst : childTrait_t t) (x : t) : result string = + childTraitTInst.parentTrait0SelfInst.get_name x + +(** [traits::test_child_trait2]: forward function + Source: 'src/traits.rs', lines 217:0-217:54 *) +let test_child_trait2 + (t : Type0) (childTraitTInst : childTrait_t t) (x : t) : + result childTraitTInst.parentTrait0SelfInst.tW + = + childTraitTInst.parentTrait0SelfInst.get_w x + +(** [traits::order1]: forward function + Source: 'src/traits.rs', lines 223:0-223:59 *) +let order1 + (t u : Type0) (parentTrait0TInst : parentTrait0_t t) (parentTrait0UInst : + parentTrait0_t u) : + result unit + = + Return () + +(** Trait declaration: [traits::ChildTrait1] + Source: 'src/traits.rs', lines 226:0-226:35 *) +noeq type childTrait1_t (self : Type0) = { + parentTrait1SelfInst : parentTrait1_t self; +} + +(** Trait implementation: [traits::{usize#9}] + Source: 'src/traits.rs', lines 228:0-228:27 *) +let traits_ParentTrait1UsizeInst : parentTrait1_t usize = () + +(** Trait implementation: [traits::{usize#10}] + Source: 'src/traits.rs', lines 229:0-229:26 *) +let traits_ChildTrait1UsizeInst : childTrait1_t usize = { + parentTrait1SelfInst = traits_ParentTrait1UsizeInst; +} + +(** Trait declaration: [traits::Iterator] + Source: 'src/traits.rs', lines 233:0-233:18 *) +noeq type iterator_t (self : Type0) = { tItem : Type0; } + +(** Trait declaration: [traits::IntoIterator] + Source: 'src/traits.rs', lines 237:0-237:22 *) +noeq type intoIterator_t (self : Type0) = { + tItem : Type0; + tIntoIter : Type0; + tIntoIter_clause_0 : iterator_t tIntoIter; + into_iter : self -> result tIntoIter; +} + +(** Trait declaration: [traits::FromResidual] + Source: 'src/traits.rs', lines 254:0-254:21 *) +type fromResidual_t (self t : Type0) = unit + +(** Trait declaration: [traits::Try] + Source: 'src/traits.rs', lines 250:0-250:48 *) +noeq type try_t (self : Type0) = { + tResidual : Type0; + fromResidualSelftraitsTrySelfResidualInst : fromResidual_t self tResidual; +} + +(** Trait declaration: [traits::WithTarget] + Source: 'src/traits.rs', lines 256:0-256:20 *) +noeq type withTarget_t (self : Type0) = { tTarget : Type0; } + +(** Trait declaration: [traits::ParentTrait2] + Source: 'src/traits.rs', lines 260:0-260:22 *) +noeq type parentTrait2_t (self : Type0) = { + tU : Type0; + tU_clause_0 : withTarget_t tU; +} + +(** Trait declaration: [traits::ChildTrait2] + Source: 'src/traits.rs', lines 264:0-264:35 *) +noeq type childTrait2_t (self : Type0) = { + parentTrait2SelfInst : parentTrait2_t self; + convert : parentTrait2SelfInst.tU -> result + parentTrait2SelfInst.tU_clause_0.tTarget; +} + +(** Trait implementation: [traits::{u32#11}] + Source: 'src/traits.rs', lines 268:0-268:23 *) +let traits_WithTargetU32Inst : withTarget_t u32 = { tTarget = u32; } + +(** Trait implementation: [traits::{u32#12}] + Source: 'src/traits.rs', lines 272:0-272:25 *) +let traits_ParentTrait2U32Inst : parentTrait2_t u32 = { + tU = u32; + tU_clause_0 = traits_WithTargetU32Inst; +} + +(** [traits::{u32#13}::convert]: forward function + Source: 'src/traits.rs', lines 277:4-277:29 *) +let u32_convert (x : u32) : result u32 = + Return x + +(** Trait implementation: [traits::{u32#13}] + Source: 'src/traits.rs', lines 276:0-276:24 *) +let traits_ChildTrait2U32Inst : childTrait2_t u32 = { + parentTrait2SelfInst = traits_ParentTrait2U32Inst; + convert = u32_convert; +} + +(** Trait declaration: [traits::CFnOnce] + Source: 'src/traits.rs', lines 290:0-290:23 *) +noeq type cFnOnce_t (self args : Type0) = { + tOutput : Type0; + call_once : self -> args -> result tOutput; +} + +(** Trait declaration: [traits::CFnMut] + Source: 'src/traits.rs', lines 296:0-296:37 *) +noeq type cFnMut_t (self args : Type0) = { + cFnOnceSelfArgsInst : cFnOnce_t self args; + call_mut : self -> args -> result cFnOnceSelfArgsInst.tOutput; + call_mut_back : self -> args -> result self; +} + +(** Trait declaration: [traits::CFn] + Source: 'src/traits.rs', lines 300:0-300:33 *) +noeq type cFn_t (self args : Type0) = { + cFnMutSelfArgsInst : cFnMut_t self args; + call : self -> args -> result cFnMutSelfArgsInst.cFnOnceSelfArgsInst.tOutput; +} + +(** Trait declaration: [traits::GetTrait] + Source: 'src/traits.rs', lines 304:0-304:18 *) +noeq type getTrait_t (self : Type0) = { tW : Type0; get_w : self -> result tW; +} + +(** [traits::test_get_trait]: forward function + Source: 'src/traits.rs', lines 309:0-309:49 *) +let test_get_trait + (t : Type0) (getTraitTInst : getTrait_t t) (x : t) : + result getTraitTInst.tW + = + getTraitTInst.get_w x + diff --git a/tests/fstar/array/Array.Clauses.Template.fst b/tests/fstar/array/Array.Clauses.Template.fst index 84347ab9..b2f2649c 100644 --- a/tests/fstar/array/Array.Clauses.Template.fst +++ b/tests/fstar/array/Array.Clauses.Template.fst @@ -9,13 +9,13 @@ open Array.Types (** [array::sum]: decreases clause Source: 'src/array.rs', lines 242:0-250:1 *) unfold -let sum_loop_decreases (s : slice u32) (sum0 : u32) (i : usize) : nat = +let sum_loop_decreases (s : slice u32) (sum1 : u32) (i : usize) : nat = admit () (** [array::sum2]: decreases clause Source: 'src/array.rs', lines 252:0-261:1 *) unfold -let sum2_loop_decreases (s : slice u32) (s2 : slice u32) (sum0 : u32) +let sum2_loop_decreases (s : slice u32) (s2 : slice u32) (sum1 : u32) (i : usize) : nat = admit () diff --git a/tests/fstar/array/Array.Funs.fst b/tests/fstar/array/Array.Funs.fst index 935bd9c9..4193ba7d 100644 --- a/tests/fstar/array/Array.Funs.fst +++ b/tests/fstar/array/Array.Funs.fst @@ -7,86 +7,79 @@ include Array.Clauses #set-options "--z3rlimit 50 --fuel 1 --ifuel 1" -(** [array::incr]: merged forward/backward function - (there is a single backward function, and the forward function returns ()) +(** [array::incr]: Source: 'src/array.rs', lines 8:0-8:24 *) let incr (x : u32) : result u32 = u32_add x 1 -(** [array::array_to_shared_slice_]: forward function +(** [array::array_to_shared_slice_]: Source: 'src/array.rs', lines 16:0-16:53 *) let array_to_shared_slice_ (t : Type0) (s : array t 32) : result (slice t) = array_to_slice t 32 s -(** [array::array_to_mut_slice_]: forward function +(** [array::array_to_mut_slice_]: Source: 'src/array.rs', lines 21:0-21:58 *) -let array_to_mut_slice_ (t : Type0) (s : array t 32) : result (slice t) = - array_to_slice t 32 s - -(** [array::array_to_mut_slice_]: backward function 0 - Source: 'src/array.rs', lines 21:0-21:58 *) -let array_to_mut_slice__back - (t : Type0) (s : array t 32) (ret : slice t) : result (array t 32) = - array_from_slice t 32 s ret +let array_to_mut_slice_ + (t : Type0) (s : array t 32) : + result ((slice t) & (slice t -> result (array t 32))) + = + let* (s1, to_slice_mut_back) = array_to_slice_mut t 32 s in + Return (s1, to_slice_mut_back) -(** [array::array_len]: forward function +(** [array::array_len]: Source: 'src/array.rs', lines 25:0-25:40 *) let array_len (t : Type0) (s : array t 32) : result usize = - let* s0 = array_to_slice t 32 s in let i = slice_len t s0 in Return i + let* s1 = array_to_slice t 32 s in 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 *) let shared_array_len (t : Type0) (s : array t 32) : result usize = - let* s0 = array_to_slice t 32 s in let i = slice_len t s0 in Return i + let* s1 = array_to_slice t 32 s in 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 *) let shared_slice_len (t : Type0) (s : slice t) : result usize = let i = slice_len t s in Return i -(** [array::index_array_shared]: forward function +(** [array::index_array_shared]: Source: 'src/array.rs', lines 37:0-37:57 *) let index_array_shared (t : Type0) (s : array t 32) (i : usize) : result t = array_index_usize t 32 s i -(** [array::index_array_u32]: forward function +(** [array::index_array_u32]: Source: 'src/array.rs', lines 44:0-44:53 *) let index_array_u32 (s : array u32 32) (i : usize) : result u32 = array_index_usize u32 32 s i -(** [array::index_array_copy]: forward function +(** [array::index_array_copy]: Source: 'src/array.rs', lines 48:0-48:45 *) let index_array_copy (x : array u32 32) : result u32 = array_index_usize u32 32 x 0 -(** [array::index_mut_array]: forward function +(** [array::index_mut_array]: Source: 'src/array.rs', lines 52:0-52:62 *) -let index_mut_array (t : Type0) (s : array t 32) (i : usize) : result t = - array_index_usize t 32 s i - -(** [array::index_mut_array]: backward function 0 - Source: 'src/array.rs', lines 52:0-52:62 *) -let index_mut_array_back - (t : Type0) (s : array t 32) (i : usize) (ret : t) : result (array t 32) = - array_update_usize t 32 s i ret +let index_mut_array + (t : Type0) (s : array t 32) (i : usize) : + result (t & (t -> result (array t 32))) + = + let* (x, index_mut_back) = array_index_mut_usize t 32 s i in + Return (x, index_mut_back) -(** [array::index_slice]: forward function +(** [array::index_slice]: Source: 'src/array.rs', lines 56:0-56:46 *) let index_slice (t : Type0) (s : slice t) (i : usize) : result t = slice_index_usize t s i -(** [array::index_mut_slice]: forward function - Source: 'src/array.rs', lines 60:0-60:58 *) -let index_mut_slice (t : Type0) (s : slice t) (i : usize) : result t = - slice_index_usize t s i - -(** [array::index_mut_slice]: backward function 0 +(** [array::index_mut_slice]: Source: 'src/array.rs', lines 60:0-60:58 *) -let index_mut_slice_back - (t : Type0) (s : slice t) (i : usize) (ret : t) : result (slice t) = - slice_update_usize t s i ret +let index_mut_slice + (t : Type0) (s : slice t) (i : usize) : + result (t & (t -> result (slice t))) + = + let* (x, index_mut_back) = slice_index_mut_usize t s i in + Return (x, index_mut_back) -(** [array::slice_subslice_shared_]: forward function +(** [array::slice_subslice_shared_]: Source: 'src/array.rs', lines 64:0-64:70 *) let slice_subslice_shared_ (x : slice u32) (y : usize) (z : usize) : result (slice u32) = @@ -94,41 +87,33 @@ let slice_subslice_shared_ (core_slice_index_SliceIndexRangeUsizeSliceTInst u32) x { start = y; end_ = z } -(** [array::slice_subslice_mut_]: forward function +(** [array::slice_subslice_mut_]: Source: 'src/array.rs', lines 68:0-68:75 *) let slice_subslice_mut_ - (x : slice u32) (y : usize) (z : usize) : result (slice u32) = - core_slice_index_Slice_index_mut u32 (core_ops_range_Range usize) - (core_slice_index_SliceIndexRangeUsizeSliceTInst u32) x - { start = y; end_ = z } - -(** [array::slice_subslice_mut_]: backward function 0 - Source: 'src/array.rs', lines 68:0-68:75 *) -let slice_subslice_mut__back - (x : slice u32) (y : usize) (z : usize) (ret : slice u32) : - result (slice u32) + (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 - { start = y; end_ = z } ret + let* (s, index_mut_back) = + core_slice_index_Slice_index_mut u32 (core_ops_range_Range usize) + (core_slice_index_SliceIndexRangeUsizeSliceTInst u32) x + { start = y; end_ = z } 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 *) let array_to_slice_shared_ (x : array u32 32) : result (slice u32) = array_to_slice u32 32 x -(** [array::array_to_slice_mut_]: forward function +(** [array::array_to_slice_mut_]: Source: 'src/array.rs', lines 76:0-76:59 *) -let array_to_slice_mut_ (x : array u32 32) : result (slice u32) = - array_to_slice u32 32 x - -(** [array::array_to_slice_mut_]: backward function 0 - Source: 'src/array.rs', lines 76:0-76:59 *) -let array_to_slice_mut__back - (x : array u32 32) (ret : slice u32) : result (array u32 32) = - array_from_slice u32 32 x ret +let array_to_slice_mut_ + (x : array u32 32) : + result ((slice u32) & (slice u32 -> result (array u32 32))) + = + let* (s, to_slice_mut_back) = array_to_slice_mut u32 32 x 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 *) let array_subslice_shared_ (x : array u32 32) (y : usize) (z : usize) : result (slice u32) = @@ -137,274 +122,262 @@ let array_subslice_shared_ (core_slice_index_SliceIndexRangeUsizeSliceTInst u32)) x { start = y; end_ = z } -(** [array::array_subslice_mut_]: forward function +(** [array::array_subslice_mut_]: Source: 'src/array.rs', lines 84:0-84:79 *) let array_subslice_mut_ - (x : array u32 32) (y : usize) (z : usize) : result (slice u32) = - core_array_Array_index_mut u32 (core_ops_range_Range usize) 32 - (core_ops_index_IndexMutSliceTIInst u32 (core_ops_range_Range usize) - (core_slice_index_SliceIndexRangeUsizeSliceTInst u32)) x - { start = y; end_ = z } - -(** [array::array_subslice_mut_]: backward function 0 - Source: 'src/array.rs', lines 84:0-84:79 *) -let array_subslice_mut__back - (x : array u32 32) (y : usize) (z : usize) (ret : slice u32) : - result (array u32 32) + (x : array u32 32) (y : usize) (z : usize) : + result ((slice u32) & (slice u32 -> result (array u32 32))) = - core_array_Array_index_mut_back u32 (core_ops_range_Range usize) 32 - (core_ops_index_IndexMutSliceTIInst u32 (core_ops_range_Range usize) - (core_slice_index_SliceIndexRangeUsizeSliceTInst u32)) x - { start = y; end_ = z } ret + let* (s, index_mut_back) = + core_array_Array_index_mut u32 (core_ops_range_Range usize) 32 + (core_ops_index_IndexMutSliceTIInst u32 (core_ops_range_Range usize) + (core_slice_index_SliceIndexRangeUsizeSliceTInst u32)) x + { start = y; end_ = z } 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 *) let index_slice_0 (t : Type0) (s : slice t) : result t = slice_index_usize t s 0 -(** [array::index_array_0]: forward function +(** [array::index_array_0]: Source: 'src/array.rs', lines 92:0-92:42 *) let index_array_0 (t : Type0) (s : array t 32) : result t = array_index_usize t 32 s 0 -(** [array::index_index_array]: forward function +(** [array::index_index_array]: Source: 'src/array.rs', lines 103:0-103:71 *) let index_index_array (s : array (array u32 32) 32) (i : usize) (j : usize) : result u32 = let* a = array_index_usize (array u32 32) 32 s i in array_index_usize u32 32 a j -(** [array::update_update_array]: forward function +(** [array::update_update_array]: Source: 'src/array.rs', lines 114:0-114:70 *) let update_update_array (s : array (array u32 32) 32) (i : usize) (j : usize) : result unit = - let* a = array_index_usize (array u32 32) 32 s i in - let* a0 = array_update_usize u32 32 a j 0 in - let* _ = array_update_usize (array u32 32) 32 s i a0 in + let* (a, index_mut_back) = array_index_mut_usize (array u32 32) 32 s i in + let* (_, index_mut_back1) = array_index_mut_usize u32 32 a j in + let* a1 = index_mut_back1 0 in + let* _ = index_mut_back a1 in Return () -(** [array::array_local_deep_copy]: forward function +(** [array::array_local_deep_copy]: Source: 'src/array.rs', lines 118:0-118:43 *) let array_local_deep_copy (x : array u32 32) : result unit = Return () -(** [array::take_array]: forward function +(** [array::take_array]: Source: 'src/array.rs', lines 122:0-122:30 *) let take_array (a : array u32 2) : result unit = Return () -(** [array::take_array_borrow]: forward function +(** [array::take_array_borrow]: Source: 'src/array.rs', lines 123:0-123:38 *) let take_array_borrow (a : array u32 2) : result unit = Return () -(** [array::take_slice]: forward function +(** [array::take_slice]: Source: 'src/array.rs', lines 124:0-124:28 *) let take_slice (s : slice u32) : result unit = Return () -(** [array::take_mut_slice]: merged forward/backward function - (there is a single backward function, and the forward function returns ()) +(** [array::take_mut_slice]: Source: 'src/array.rs', lines 125:0-125:36 *) let take_mut_slice (s : slice u32) : result (slice u32) = Return s -(** [array::const_array]: forward function +(** [array::const_array]: Source: 'src/array.rs', lines 127:0-127:32 *) let const_array : result (array u32 2) = Return (mk_array u32 2 [ 0; 0 ]) -(** [array::const_slice]: forward function +(** [array::const_slice]: Source: 'src/array.rs', lines 131:0-131:20 *) let const_slice : result unit = let* _ = array_to_slice u32 2 (mk_array u32 2 [ 0; 0 ]) in Return () -(** [array::take_all]: forward function +(** [array::take_all]: Source: 'src/array.rs', lines 141:0-141:17 *) let take_all : result unit = let* _ = take_array (mk_array u32 2 [ 0; 0 ]) in + let* _ = take_array (mk_array u32 2 [ 0; 0 ]) in let* _ = take_array_borrow (mk_array u32 2 [ 0; 0 ]) in let* s = array_to_slice u32 2 (mk_array u32 2 [ 0; 0 ]) in let* _ = take_slice s in - let* s0 = array_to_slice u32 2 (mk_array u32 2 [ 0; 0 ]) in - let* s1 = take_mut_slice s0 in - let* _ = array_from_slice u32 2 (mk_array u32 2 [ 0; 0 ]) s1 in + let* (s1, to_slice_mut_back) = + array_to_slice_mut u32 2 (mk_array u32 2 [ 0; 0 ]) in + let* s2 = take_mut_slice s1 in + let* _ = to_slice_mut_back s2 in Return () -(** [array::index_array]: forward function +(** [array::index_array]: Source: 'src/array.rs', lines 155:0-155:38 *) let index_array (x : array u32 2) : result u32 = array_index_usize u32 2 x 0 -(** [array::index_array_borrow]: forward function +(** [array::index_array_borrow]: Source: 'src/array.rs', lines 158:0-158:46 *) let index_array_borrow (x : array u32 2) : result u32 = array_index_usize u32 2 x 0 -(** [array::index_slice_u32_0]: forward function +(** [array::index_slice_u32_0]: Source: 'src/array.rs', lines 162:0-162:42 *) let index_slice_u32_0 (x : slice u32) : result u32 = slice_index_usize u32 x 0 -(** [array::index_mut_slice_u32_0]: forward function - Source: 'src/array.rs', lines 166:0-166:50 *) -let index_mut_slice_u32_0 (x : slice u32) : result u32 = - slice_index_usize u32 x 0 - -(** [array::index_mut_slice_u32_0]: backward function 0 +(** [array::index_mut_slice_u32_0]: Source: 'src/array.rs', lines 166:0-166:50 *) -let index_mut_slice_u32_0_back (x : slice u32) : result (slice u32) = - let* _ = slice_index_usize u32 x 0 in Return x +let index_mut_slice_u32_0 (x : slice u32) : result (u32 & (slice u32)) = + let* i = slice_index_usize u32 x 0 in Return (i, x) -(** [array::index_all]: forward function +(** [array::index_all]: Source: 'src/array.rs', lines 170:0-170:25 *) let index_all : result u32 = let* i = index_array (mk_array u32 2 [ 0; 0 ]) in - let* i0 = index_array (mk_array u32 2 [ 0; 0 ]) in - let* i1 = u32_add i i0 in - let* i2 = index_array_borrow (mk_array u32 2 [ 0; 0 ]) in - let* i3 = u32_add i1 i2 in + let* i1 = index_array (mk_array u32 2 [ 0; 0 ]) in + let* i2 = u32_add i i1 in + let* i3 = index_array_borrow (mk_array u32 2 [ 0; 0 ]) in + let* i4 = u32_add i2 i3 in let* s = array_to_slice u32 2 (mk_array u32 2 [ 0; 0 ]) in - let* i4 = index_slice_u32_0 s in - let* i5 = u32_add i3 i4 in - let* s0 = array_to_slice u32 2 (mk_array u32 2 [ 0; 0 ]) in - let* i6 = index_mut_slice_u32_0 s0 in - let* i7 = u32_add i5 i6 in - let* s1 = index_mut_slice_u32_0_back s0 in - let* _ = array_from_slice u32 2 (mk_array u32 2 [ 0; 0 ]) s1 in - Return i7 - -(** [array::update_array]: forward function + let* i5 = index_slice_u32_0 s in + let* i6 = u32_add i4 i5 in + let* (s1, to_slice_mut_back) = + array_to_slice_mut u32 2 (mk_array u32 2 [ 0; 0 ]) in + let* (i7, s2) = index_mut_slice_u32_0 s1 in + let* i8 = u32_add i6 i7 in + let* _ = to_slice_mut_back s2 in + Return i8 + +(** [array::update_array]: Source: 'src/array.rs', lines 184:0-184:36 *) let update_array (x : array u32 2) : result unit = - let* _ = array_update_usize u32 2 x 0 1 in Return () + let* (_, index_mut_back) = array_index_mut_usize u32 2 x 0 in + let* _ = index_mut_back 1 in + Return () -(** [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 *) let update_array_mut_borrow (x : array u32 2) : result (array u32 2) = - array_update_usize u32 2 x 0 1 + let* (_, index_mut_back) = array_index_mut_usize u32 2 x 0 in + index_mut_back 1 -(** [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 *) let update_mut_slice (x : slice u32) : result (slice u32) = - slice_update_usize u32 x 0 1 + let* (_, index_mut_back) = slice_index_mut_usize u32 x 0 in index_mut_back 1 -(** [array::update_all]: forward function +(** [array::update_all]: Source: 'src/array.rs', lines 194:0-194:19 *) let update_all : result unit = let* _ = update_array (mk_array u32 2 [ 0; 0 ]) in - let* x = update_array_mut_borrow (mk_array u32 2 [ 0; 0 ]) in - let* s = array_to_slice u32 2 x in - let* s0 = update_mut_slice s in - let* _ = array_from_slice u32 2 x s0 in + let* _ = update_array (mk_array u32 2 [ 0; 0 ]) in + let* a = update_array_mut_borrow (mk_array u32 2 [ 0; 0 ]) in + let* (s, to_slice_mut_back) = array_to_slice_mut u32 2 a in + let* s1 = update_mut_slice s in + let* _ = to_slice_mut_back s1 in Return () -(** [array::range_all]: forward function +(** [array::range_all]: Source: 'src/array.rs', lines 205:0-205:18 *) let range_all : result unit = - let* s = + let* (s, index_mut_back) = core_array_Array_index_mut u32 (core_ops_range_Range usize) 4 (core_ops_index_IndexMutSliceTIInst u32 (core_ops_range_Range usize) (core_slice_index_SliceIndexRangeUsizeSliceTInst u32)) (mk_array u32 4 [ 0; 0; 0; 0 ]) { start = 1; end_ = 3 } in - let* s0 = update_mut_slice s in - let* _ = - core_array_Array_index_mut_back u32 (core_ops_range_Range usize) 4 - (core_ops_index_IndexMutSliceTIInst u32 (core_ops_range_Range usize) - (core_slice_index_SliceIndexRangeUsizeSliceTInst u32)) - (mk_array u32 4 [ 0; 0; 0; 0 ]) { start = 1; end_ = 3 } s0 in + let* s1 = update_mut_slice s in + let* _ = index_mut_back s1 in Return () -(** [array::deref_array_borrow]: forward function +(** [array::deref_array_borrow]: Source: 'src/array.rs', lines 214:0-214:46 *) let deref_array_borrow (x : array u32 2) : result u32 = array_index_usize u32 2 x 0 -(** [array::deref_array_mut_borrow]: forward function +(** [array::deref_array_mut_borrow]: Source: 'src/array.rs', lines 219:0-219:54 *) -let deref_array_mut_borrow (x : array u32 2) : result u32 = - array_index_usize u32 2 x 0 +let deref_array_mut_borrow (x : array u32 2) : result (u32 & (array u32 2)) = + let* i = array_index_usize u32 2 x 0 in Return (i, x) -(** [array::deref_array_mut_borrow]: backward function 0 - Source: 'src/array.rs', lines 219:0-219:54 *) -let deref_array_mut_borrow_back (x : array u32 2) : result (array u32 2) = - let* _ = array_index_usize u32 2 x 0 in Return x - -(** [array::take_array_t]: forward function +(** [array::take_array_t]: Source: 'src/array.rs', lines 227:0-227:31 *) let take_array_t (a : array aB_t 2) : result unit = Return () -(** [array::non_copyable_array]: forward function +(** [array::non_copyable_array]: Source: 'src/array.rs', lines 229:0-229:27 *) let non_copyable_array : result unit = let* _ = take_array_t (mk_array aB_t 2 [ AB_A; AB_B ]) in Return () -(** [array::sum]: loop 0: forward function +(** [array::sum]: loop 0: Source: 'src/array.rs', lines 242:0-250:1 *) let rec sum_loop - (s : slice u32) (sum0 : u32) (i : usize) : - Tot (result u32) (decreases (sum_loop_decreases s sum0 i)) + (s : slice u32) (sum1 : u32) (i : usize) : + Tot (result u32) (decreases (sum_loop_decreases s sum1 i)) = - let i0 = slice_len u32 s in - if i < i0 + let i1 = slice_len u32 s in + if i < i1 then - let* i1 = slice_index_usize u32 s i in - let* sum1 = u32_add sum0 i1 in - let* i2 = usize_add i 1 in - sum_loop s sum1 i2 - else Return sum0 + let* i2 = slice_index_usize u32 s i in + let* sum3 = u32_add sum1 i2 in + let* i3 = usize_add i 1 in + sum_loop s sum3 i3 + else Return sum1 -(** [array::sum]: forward function +(** [array::sum]: Source: 'src/array.rs', lines 242:0-242:28 *) let sum (s : slice u32) : result u32 = sum_loop s 0 0 -(** [array::sum2]: loop 0: forward function +(** [array::sum2]: loop 0: Source: 'src/array.rs', lines 252:0-261:1 *) let rec sum2_loop - (s : slice u32) (s2 : slice u32) (sum0 : u32) (i : usize) : - Tot (result u32) (decreases (sum2_loop_decreases s s2 sum0 i)) + (s : slice u32) (s2 : slice u32) (sum1 : u32) (i : usize) : + Tot (result u32) (decreases (sum2_loop_decreases s s2 sum1 i)) = - let i0 = slice_len u32 s in - if i < i0 + let i1 = slice_len u32 s in + if i < i1 then - let* i1 = slice_index_usize u32 s i in - let* i2 = slice_index_usize u32 s2 i in - let* i3 = u32_add i1 i2 in - let* sum1 = u32_add sum0 i3 in - let* i4 = usize_add i 1 in - sum2_loop s s2 sum1 i4 - else Return sum0 - -(** [array::sum2]: forward function + let* i2 = slice_index_usize u32 s i in + let* i3 = slice_index_usize u32 s2 i in + let* i4 = u32_add i2 i3 in + let* sum3 = u32_add sum1 i4 in + let* i5 = usize_add i 1 in + sum2_loop s s2 sum3 i5 + else Return sum1 + +(** [array::sum2]: Source: 'src/array.rs', lines 252:0-252:41 *) let sum2 (s : slice u32) (s2 : slice u32) : result u32 = let i = slice_len u32 s in - let i0 = slice_len u32 s2 in - if not (i = i0) then Fail Failure else sum2_loop s s2 0 0 + let i1 = slice_len u32 s2 in + if not (i = i1) then Fail Failure else sum2_loop s s2 0 0 -(** [array::f0]: forward function +(** [array::f0]: Source: 'src/array.rs', lines 263:0-263:11 *) let f0 : result unit = - let* s = array_to_slice u32 2 (mk_array u32 2 [ 1; 2 ]) in - let* s0 = slice_update_usize u32 s 0 1 in - let* _ = array_from_slice u32 2 (mk_array u32 2 [ 1; 2 ]) s0 in + let* (s, to_slice_mut_back) = + array_to_slice_mut u32 2 (mk_array u32 2 [ 1; 2 ]) in + let* (_, index_mut_back) = slice_index_mut_usize u32 s 0 in + let* s1 = index_mut_back 1 in + let* _ = to_slice_mut_back s1 in Return () -(** [array::f1]: forward function +(** [array::f1]: Source: 'src/array.rs', lines 268:0-268:11 *) let f1 : result unit = - let* _ = array_update_usize u32 2 (mk_array u32 2 [ 1; 2 ]) 0 1 in Return () + let* (_, index_mut_back) = + array_index_mut_usize u32 2 (mk_array u32 2 [ 1; 2 ]) 0 in + let* _ = index_mut_back 1 in + Return () -(** [array::f2]: forward function +(** [array::f2]: Source: 'src/array.rs', lines 273:0-273:17 *) let f2 (i : u32) : result unit = Return () -(** [array::f4]: forward function +(** [array::f4]: Source: 'src/array.rs', lines 282:0-282:54 *) let f4 (x : array u32 32) (y : usize) (z : usize) : result (slice u32) = core_array_Array_index u32 (core_ops_range_Range usize) 32 @@ -412,34 +385,36 @@ let f4 (x : array u32 32) (y : usize) (z : usize) : result (slice u32) = (core_slice_index_SliceIndexRangeUsizeSliceTInst u32)) x { start = y; end_ = z } -(** [array::f3]: forward function +(** [array::f3]: Source: 'src/array.rs', lines 275:0-275:18 *) let f3 : result u32 = let* i = array_index_usize u32 2 (mk_array u32 2 [ 1; 2 ]) 0 in let* _ = f2 i in let b = array_repeat u32 32 0 in let* s = array_to_slice u32 2 (mk_array u32 2 [ 1; 2 ]) in - let* s0 = f4 b 16 18 in - sum2 s s0 + let* s1 = f4 b 16 18 in + sum2 s s1 (** [array::SZ] Source: 'src/array.rs', lines 286:0-286:19 *) let sz_body : result usize = Return 32 let sz_c : usize = eval_global sz_body -(** [array::f5]: forward function +(** [array::f5]: Source: 'src/array.rs', lines 289:0-289:31 *) let f5 (x : array u32 32) : result u32 = array_index_usize u32 32 x 0 -(** [array::ite]: forward function +(** [array::ite]: Source: 'src/array.rs', lines 294:0-294:12 *) let ite : result unit = - let* s = array_to_slice u32 2 (mk_array u32 2 [ 0; 0 ]) in - let* s0 = array_to_slice u32 2 (mk_array u32 2 [ 0; 0 ]) in - let* s1 = index_mut_slice_u32_0_back s0 in - let* _ = array_from_slice u32 2 (mk_array u32 2 [ 0; 0 ]) s1 in - let* s2 = index_mut_slice_u32_0_back s in - let* _ = array_from_slice u32 2 (mk_array u32 2 [ 0; 0 ]) s2 in + let* (s, to_slice_mut_back) = + array_to_slice_mut u32 2 (mk_array u32 2 [ 0; 0 ]) in + let* (_, s1) = index_mut_slice_u32_0 s in + let* (s2, to_slice_mut_back1) = + array_to_slice_mut u32 2 (mk_array u32 2 [ 0; 0 ]) in + let* (_, s3) = index_mut_slice_u32_0 s2 in + let* _ = to_slice_mut_back1 s3 in + let* _ = to_slice_mut_back s1 in Return () diff --git a/tests/fstar/array/Primitives.fst b/tests/fstar/array/Primitives.fst index a3ffbde4..fca80829 100644 --- a/tests/fstar/array/Primitives.fst +++ b/tests/fstar/array/Primitives.fst @@ -55,8 +55,7 @@ type string = string let is_zero (n: nat) : bool = n = 0 let decrease (n: nat{n > 0}) : nat = n - 1 -let core_mem_replace (a : Type0) (x : a) (y : a) : a = x -let core_mem_replace_back (a : Type0) (x : a) (y : a) : a = y +let core_mem_replace (a : Type0) (x : a) (y : a) : a & a = (x, x) // We don't really use raw pointers for now type mut_raw_ptr (t : Type0) = { v : t } @@ -477,8 +476,7 @@ noeq type core_ops_index_Index (self idx : Type0) = { // Trait declaration: [core::ops::index::IndexMut] noeq type core_ops_index_IndexMut (self idx : Type0) = { indexInst : core_ops_index_Index self idx; - index_mut : self → idx → result indexInst.output; - index_mut_back : self → idx → indexInst.output → result self; + index_mut : self → idx → result (indexInst.output & (indexInst.output → result self)); } // Trait declaration [core::ops::deref::Deref] @@ -490,8 +488,7 @@ noeq type core_ops_deref_Deref (self : Type0) = { // Trait declaration [core::ops::deref::DerefMut] noeq type core_ops_deref_DerefMut (self : Type0) = { derefInst : core_ops_deref_Deref self; - deref_mut : self → result derefInst.target; - deref_mut_back : self → derefInst.target → result self; + deref_mut : self → result (derefInst.target & (derefInst.target → result self)); } type core_ops_range_Range (a : Type0) = { @@ -502,8 +499,8 @@ type core_ops_range_Range (a : Type0) = { (*** [alloc] *) let alloc_boxed_Box_deref (t : Type0) (x : t) : result t = Return x -let alloc_boxed_Box_deref_mut (t : Type0) (x : t) : result t = Return x -let alloc_boxed_Box_deref_mut_back (t : Type) (_ : t) (x : t) : result t = Return x +let alloc_boxed_Box_deref_mut (t : Type0) (x : t) : result (t & (t -> result t)) = + Return (x, (fun x -> Return x)) // Trait instance let alloc_boxed_Box_coreopsDerefInst (self : Type0) : core_ops_deref_Deref self = { @@ -515,7 +512,6 @@ let alloc_boxed_Box_coreopsDerefInst (self : Type0) : core_ops_deref_Deref self let alloc_boxed_Box_coreopsDerefMutInst (self : Type0) : core_ops_deref_DerefMut self = { derefInst = alloc_boxed_Box_coreopsDerefInst self; deref_mut = alloc_boxed_Box_deref_mut self; - deref_mut_back = alloc_boxed_Box_deref_mut_back self; } (*** Array *) @@ -535,10 +531,18 @@ let array_index_usize (a : Type0) (n : usize) (x : array a n) (i : usize) : resu if i < length x then Return (index x i) else Fail Failure -let array_update_usize (a : Type0) (n : usize) (x : array a n) (i : usize) (nx : a) : result (array a n) = +let array_update_usize (a : Type0) (n : usize) (x : array a n) (i : usize) (nx : a) : + result (array a n) = if i < length x then Return (list_update x i nx) else Fail Failure +let array_index_mut_usize (a : Type0) (n : usize) (x : array a n) (i : usize) : + result (a & (a -> result (array a n))) = + match array_index_usize a n x i with + | Fail e -> Fail e + | Return v -> + Return (v, array_update_usize a n x i) + (*** Slice *) type slice (a : Type0) = s:list a{length s <= usize_max} @@ -552,6 +556,13 @@ let slice_update_usize (a : Type0) (x : slice a) (i : usize) (nx : a) : result ( if i < length x then Return (list_update x i nx) else Fail Failure +let slice_index_mut_usize (a : Type0) (s : slice a) (i : usize) : + result (a & (a -> result (slice a))) = + match slice_index_usize a s i with + | Fail e -> Fail e + | Return x -> + Return (x, slice_update_usize a s i) + (*** Subslices *) let array_to_slice (a : Type0) (n : usize) (x : array a n) : result (slice a) = Return x @@ -559,6 +570,10 @@ let array_from_slice (a : Type0) (n : usize) (x : array a n) (s : slice a) : res if length s = n then Return s else Fail Failure +let array_to_slice_mut (a : Type0) (n : usize) (x : array a n) : + result (slice a & (slice a -> result (array a n))) = + Return (x, array_from_slice a n x) + // TODO: finish the definitions below (there lacks [List.drop] and [List.take] in the standard library *) let array_subslice (a : Type0) (n : usize) (x : array a n) (r : core_ops_range_Range usize) : result (slice a) = admit() @@ -588,8 +603,13 @@ let alloc_vec_Vec_index_usize (#a : Type0) (v : alloc_vec_Vec a) (i : usize) : r let alloc_vec_Vec_update_usize (#a : Type0) (v : alloc_vec_Vec a) (i : usize) (x : a) : result (alloc_vec_Vec a) = if i < length v then Return (list_update v i x) else Fail Failure -// The **forward** function shouldn't be used -let alloc_vec_Vec_push_fwd (a : Type0) (v : alloc_vec_Vec a) (x : a) : unit = () +let alloc_vec_Vec_index_mut_usize (#a : Type0) (v: alloc_vec_Vec a) (i: usize) : + result (a & (a → result (alloc_vec_Vec a))) = + match alloc_vec_Vec_index_usize v i with + | Return x -> + Return (x, alloc_vec_Vec_update_usize v i) + | Fail e -> Fail e + let alloc_vec_Vec_push (a : Type0) (v : alloc_vec_Vec a) (x : a) : Pure (result (alloc_vec_Vec a)) (requires True) @@ -605,9 +625,6 @@ let alloc_vec_Vec_push (a : Type0) (v : alloc_vec_Vec a) (x : a) : end else Fail Failure -// The **forward** function shouldn't be used -let alloc_vec_Vec_insert_fwd (a : Type0) (v : alloc_vec_Vec a) (i : usize) (x : a) : result unit = - if i < length v then Return () else Fail Failure let alloc_vec_Vec_insert (a : Type0) (v : alloc_vec_Vec a) (i : usize) (x : a) : result (alloc_vec_Vec a) = if i < length v then Return (list_update v i x) else Fail Failure @@ -619,13 +636,11 @@ noeq type core_slice_index_SliceIndex (self t : Type0) = { sealedInst : core_slice_index_private_slice_index_Sealed self; output : Type0; get : self → t → result (option output); - get_mut : self → t → result (option output); - get_mut_back : self → t → option output → result t; + get_mut : self → t → result (option output & (option output -> result t)); get_unchecked : self → const_raw_ptr t → result (const_raw_ptr output); get_unchecked_mut : self → mut_raw_ptr t → result (mut_raw_ptr output); index : self → t → result output; - index_mut : self → t → result output; - index_mut_back : self → t → output → result t; + index_mut : self → t → result (output & (output -> result t)); } // [core::slice::index::[T]::index]: forward function @@ -643,14 +658,8 @@ let core_slice_index_RangeUsize_get (t : Type0) (i : core_ops_range_Range usize) admit () // TODO // [core::slice::index::Range::get_mut]: forward function -let core_slice_index_RangeUsize_get_mut - (t : Type0) : core_ops_range_Range usize → slice t → result (option (slice t)) = - admit () // TODO - -// [core::slice::index::Range::get_mut]: backward function 0 -let core_slice_index_RangeUsize_get_mut_back - (t : Type0) : - core_ops_range_Range usize → slice t → option (slice t) → result (slice t) = +let core_slice_index_RangeUsize_get_mut (t : Type0) : + core_ops_range_Range usize → slice t → result (option (slice t) & (option (slice t) -> result (slice t))) = admit () // TODO // [core::slice::index::Range::get_unchecked]: forward function @@ -675,27 +684,16 @@ let core_slice_index_RangeUsize_index admit () // TODO // [core::slice::index::Range::index_mut]: forward function -let core_slice_index_RangeUsize_index_mut - (t : Type0) : core_ops_range_Range usize → slice t → result (slice t) = - admit () // TODO - -// [core::slice::index::Range::index_mut]: backward function 0 -let core_slice_index_RangeUsize_index_mut_back - (t : Type0) : core_ops_range_Range usize → slice t → slice t → result (slice t) = +let core_slice_index_RangeUsize_index_mut (t : Type0) : + core_ops_range_Range usize → slice t → result (slice t & (slice t -> result (slice t))) = admit () // TODO // [core::slice::index::[T]::index_mut]: forward function let core_slice_index_Slice_index_mut (t idx : Type0) (inst : core_slice_index_SliceIndex idx (slice t)) : - slice t → idx → result inst.output = + slice t → idx → result (inst.output & (inst.output -> result (slice t))) = admit () // -// [core::slice::index::[T]::index_mut]: backward function 0 -let core_slice_index_Slice_index_mut_back - (t idx : Type0) (inst : core_slice_index_SliceIndex idx (slice t)) : - slice t → idx → inst.output → result (slice t) = - admit () // TODO - // [core::array::[T; N]::index]: forward function let core_array_Array_index (t idx : Type0) (n : usize) (inst : core_ops_index_Index (slice t) idx) @@ -705,13 +703,8 @@ let core_array_Array_index // [core::array::[T; N]::index_mut]: forward function let core_array_Array_index_mut (t idx : Type0) (n : usize) (inst : core_ops_index_IndexMut (slice t) idx) - (a : array t n) (i : idx) : result inst.indexInst.output = - admit () // TODO - -// [core::array::[T; N]::index_mut]: backward function 0 -let core_array_Array_index_mut_back - (t idx : Type0) (n : usize) (inst : core_ops_index_IndexMut (slice t) idx) - (a : array t n) (i : idx) (x : inst.indexInst.output) : result (array t n) = + (a : array t n) (i : idx) : + result (inst.indexInst.output & (inst.indexInst.output -> result (array t n))) = admit () // TODO // Trait implementation: [core::slice::index::private_slice_index::Range] @@ -725,12 +718,10 @@ let core_slice_index_SliceIndexRangeUsizeSliceTInst (t : Type0) : output = slice t; get = core_slice_index_RangeUsize_get t; get_mut = core_slice_index_RangeUsize_get_mut t; - get_mut_back = core_slice_index_RangeUsize_get_mut_back t; get_unchecked = core_slice_index_RangeUsize_get_unchecked t; get_unchecked_mut = core_slice_index_RangeUsize_get_unchecked_mut t; index = core_slice_index_RangeUsize_index t; index_mut = core_slice_index_RangeUsize_index_mut t; - index_mut_back = core_slice_index_RangeUsize_index_mut_back t; } // Trait implementation: [core::slice::index::[T]] @@ -747,7 +738,6 @@ let core_ops_index_IndexMutSliceTIInst (t idx : Type0) core_ops_index_IndexMut (slice t) idx = { indexInst = core_ops_index_IndexSliceTIInst t idx inst; index_mut = core_slice_index_Slice_index_mut t idx inst; - index_mut_back = core_slice_index_Slice_index_mut_back t idx inst; } // Trait implementation: [core::array::[T; N]] @@ -764,7 +754,6 @@ let core_ops_index_IndexMutArrayIInst (t idx : Type0) (n : usize) core_ops_index_IndexMut (array t n) idx = { indexInst = core_ops_index_IndexArrayInst t idx n inst.indexInst; index_mut = core_array_Array_index_mut t idx n inst; - index_mut_back = core_array_Array_index_mut_back t idx n inst; } // [core::slice::index::usize::get]: forward function @@ -773,13 +762,8 @@ let core_slice_index_usize_get admit () // TODO // [core::slice::index::usize::get_mut]: forward function -let core_slice_index_usize_get_mut - (t : Type0) : usize → slice t → result (option t) = - admit () // TODO - -// [core::slice::index::usize::get_mut]: backward function 0 -let core_slice_index_usize_get_mut_back - (t : Type0) : usize → slice t → option t → result (slice t) = +let core_slice_index_usize_get_mut (t : Type0) : + usize → slice t → result (option t & (option t -> result (slice t))) = admit () // TODO // [core::slice::index::usize::get_unchecked]: forward function @@ -797,12 +781,8 @@ let core_slice_index_usize_index (t : Type0) : usize → slice t → result t = admit () // TODO // [core::slice::index::usize::index_mut]: forward function -let core_slice_index_usize_index_mut (t : Type0) : usize → slice t → result t = - admit () // TODO - -// [core::slice::index::usize::index_mut]: backward function 0 -let core_slice_index_usize_index_mut_back - (t : Type0) : usize → slice t → t → result (slice t) = +let core_slice_index_usize_index_mut (t : Type0) : + usize → slice t → result (t & (t -> result (slice t))) = admit () // TODO // Trait implementation: [core::slice::index::private_slice_index::usize] @@ -816,12 +796,10 @@ let core_slice_index_SliceIndexUsizeSliceTInst (t : Type0) : output = t; get = core_slice_index_usize_get t; get_mut = core_slice_index_usize_get_mut t; - get_mut_back = core_slice_index_usize_get_mut_back t; get_unchecked = core_slice_index_usize_get_unchecked t; get_unchecked_mut = core_slice_index_usize_get_unchecked_mut t; index = core_slice_index_usize_index t; index_mut = core_slice_index_usize_index_mut t; - index_mut_back = core_slice_index_usize_index_mut_back t; } // [alloc::vec::Vec::index]: forward function @@ -831,13 +809,8 @@ let alloc_vec_Vec_index (t idx : Type0) (inst : core_slice_index_SliceIndex idx // [alloc::vec::Vec::index_mut]: forward function let alloc_vec_Vec_index_mut (t idx : Type0) (inst : core_slice_index_SliceIndex idx (slice t)) - (self : alloc_vec_Vec t) (i : idx) : result inst.output = - admit () // TODO - -// [alloc::vec::Vec::index_mut]: backward function 0 -let alloc_vec_Vec_index_mut_back - (t idx : Type0) (inst : core_slice_index_SliceIndex idx (slice t)) - (self : alloc_vec_Vec t) (i : idx) (x : inst.output) : result (alloc_vec_Vec t) = + (self : alloc_vec_Vec t) (i : idx) : + result (inst.output & (inst.output -> result (alloc_vec_Vec t))) = admit () // TODO // Trait implementation: [alloc::vec::Vec] @@ -854,7 +827,6 @@ let alloc_vec_Vec_coreopsindexIndexMutInst (t idx : Type0) core_ops_index_IndexMut (alloc_vec_Vec t) idx = { indexInst = alloc_vec_Vec_coreopsindexIndexInst t idx inst; index_mut = alloc_vec_Vec_index_mut t idx inst; - index_mut_back = alloc_vec_Vec_index_mut_back t idx inst; } (*** Theorems *) @@ -870,15 +842,7 @@ let alloc_vec_Vec_index_eq (#a : Type0) (v : alloc_vec_Vec a) (i : usize) : let alloc_vec_Vec_index_mut_eq (#a : Type0) (v : alloc_vec_Vec a) (i : usize) : Lemma ( alloc_vec_Vec_index_mut a usize (core_slice_index_SliceIndexUsizeSliceTInst a) v i == - alloc_vec_Vec_index_usize v i) + alloc_vec_Vec_index_mut_usize v i) [SMTPat (alloc_vec_Vec_index_mut a usize (core_slice_index_SliceIndexUsizeSliceTInst a) v i)] = admit() - -let alloc_vec_Vec_index_mut_back_eq (#a : Type0) (v : alloc_vec_Vec a) (i : usize) (x : a) : - Lemma ( - alloc_vec_Vec_index_mut_back a usize (core_slice_index_SliceIndexUsizeSliceTInst a) v i x == - alloc_vec_Vec_update_usize v i x) - [SMTPat (alloc_vec_Vec_index_mut_back a usize (core_slice_index_SliceIndexUsizeSliceTInst a) v i x)] - = - admit() diff --git a/tests/fstar/betree/BetreeMain.Funs.fst b/tests/fstar/betree/BetreeMain.Funs.fst index f844b0ec..196f120c 100644 --- a/tests/fstar/betree/BetreeMain.Funs.fst +++ b/tests/fstar/betree/BetreeMain.Funs.fst @@ -8,7 +8,7 @@ include BetreeMain.Clauses #set-options "--z3rlimit 50 --fuel 1 --ifuel 1" -(** [betree_main::betree::load_internal_node]: forward function +(** [betree_main::betree::load_internal_node]: Source: 'src/betree.rs', lines 36:0-36:52 *) let betree_load_internal_node (id : u64) (st : state) : @@ -16,58 +16,48 @@ let 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 *) let betree_store_internal_node (id : u64) (content : betree_List_t (u64 & betree_Message_t)) (st : state) : result (state & unit) = - let* (st0, _) = betree_utils_store_internal_node id content st in - Return (st0, ()) + let* (st1, _) = betree_utils_store_internal_node id content st in + Return (st1, ()) -(** [betree_main::betree::load_leaf_node]: forward function +(** [betree_main::betree::load_leaf_node]: Source: 'src/betree.rs', lines 46:0-46:44 *) let 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 *) let betree_store_leaf_node (id : u64) (content : betree_List_t (u64 & u64)) (st : state) : result (state & unit) = - let* (st0, _) = betree_utils_store_leaf_node id content st in - Return (st0, ()) + let* (st1, _) = betree_utils_store_leaf_node id content st in + Return (st1, ()) -(** [betree_main::betree::fresh_node_id]: forward function +(** [betree_main::betree::fresh_node_id]: Source: 'src/betree.rs', lines 55:0-55:48 *) -let betree_fresh_node_id (counter : u64) : result u64 = - let* _ = u64_add counter 1 in Return counter +let betree_fresh_node_id (counter : u64) : result (u64 & u64) = + let* counter1 = u64_add counter 1 in Return (counter, counter1) -(** [betree_main::betree::fresh_node_id]: backward function 0 - Source: 'src/betree.rs', lines 55:0-55:48 *) -let betree_fresh_node_id_back (counter : u64) : result u64 = - u64_add counter 1 - -(** [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 *) let betree_NodeIdCounter_new : result betree_NodeIdCounter_t = Return { next_node_id = 0 } -(** [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 *) let betree_NodeIdCounter_fresh_id - (self : betree_NodeIdCounter_t) : result u64 = - let* _ = u64_add self.next_node_id 1 in Return self.next_node_id - -(** [betree_main::betree::{betree_main::betree::NodeIdCounter}::fresh_id]: backward function 0 - Source: 'src/betree.rs', lines 210:4-210:36 *) -let betree_NodeIdCounter_fresh_id_back - (self : betree_NodeIdCounter_t) : result betree_NodeIdCounter_t = - let* i = u64_add self.next_node_id 1 in Return { next_node_id = i } + (self : betree_NodeIdCounter_t) : result (u64 & betree_NodeIdCounter_t) = + let* i = u64_add self.next_node_id 1 in + Return (self.next_node_id, { 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 *) let betree_upsert_update (prev : option u64) (st : betree_UpsertFunState_t) : result u64 = @@ -75,30 +65,30 @@ let betree_upsert_update | None -> begin match st with | Betree_UpsertFunState_Add v -> Return v - | Betree_UpsertFunState_Sub i -> Return 0 + | Betree_UpsertFunState_Sub _ -> Return 0 end - | Some prev0 -> + | Some prev1 -> begin match st with | Betree_UpsertFunState_Add v -> - let* margin = u64_sub core_u64_max prev0 in - if margin >= v then u64_add prev0 v else Return core_u64_max + let* margin = u64_sub core_u64_max prev1 in + if margin >= v then u64_add prev1 v else Return core_u64_max | Betree_UpsertFunState_Sub v -> - if prev0 >= v then u64_sub prev0 v else Return 0 + if prev1 >= v then u64_sub prev1 v else Return 0 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 *) let rec betree_List_len (t : Type0) (self : betree_List_t t) : Tot (result u64) (decreases (betree_List_len_decreases t self)) = begin match self with - | Betree_List_Cons x tl -> let* i = betree_List_len t tl in u64_add 1 i + | Betree_List_Cons _ tl -> let* i = betree_List_len t tl in u64_add 1 i | Betree_List_Nil -> Return 0 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 *) let rec betree_List_split_at (t : Type0) (self : betree_List_t t) (n : u64) : @@ -113,57 +103,45 @@ let rec betree_List_split_at let* i = u64_sub n 1 in let* p = betree_List_split_at t tl i in 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 -(** [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 *) let betree_List_push_front (t : Type0) (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) - -(** [betree_main::betree::{betree_main::betree::List<T>#1}::pop_front]: forward function - Source: 'src/betree.rs', lines 306:4-306:32 *) -let betree_List_pop_front (t : Type0) (self : betree_List_t t) : result t = - let ls = core_mem_replace (betree_List_t t) self Betree_List_Nil in - begin match ls with - | Betree_List_Cons x tl -> Return x - | Betree_List_Nil -> Fail Failure - end + 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]: backward function 0 +(** [betree_main::betree::{betree_main::betree::List<T>#1}::pop_front]: Source: 'src/betree.rs', lines 306:4-306:32 *) -let betree_List_pop_front_back - (t : Type0) (self : betree_List_t t) : result (betree_List_t t) = - let ls = core_mem_replace (betree_List_t t) self Betree_List_Nil in +let betree_List_pop_front + (t : Type0) (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 begin match ls with - | Betree_List_Cons x tl -> Return tl + | Betree_List_Cons x tl -> Return (x, 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 *) let betree_List_hd (t : Type0) (self : betree_List_t t) : result t = begin 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 *) let betree_ListTupleU64T_head_has_key (t : Type0) (self : betree_List_t (u64 & t)) (key : u64) : result bool = begin match self with - | Betree_List_Cons hd l -> let (i, _) = hd in Return (i = key) + | Betree_List_Cons hd _ -> let (i, _) = hd in Return (i = 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 *) let rec betree_ListTupleU64T_partition_at_pivot (t : Type0) (self : betree_List_t (u64 & t)) (pivot : u64) : @@ -178,87 +156,55 @@ let rec betree_ListTupleU64T_partition_at_pivot else let* p = betree_ListTupleU64T_partition_at_pivot t tl pivot in let (ls0, ls1) = p in - let l = ls0 in - Return (Betree_List_Cons (i, x) l, ls1) + Return (Betree_List_Cons (i, x) ls0, ls1) | Betree_List_Nil -> Return (Betree_List_Nil, Betree_List_Nil) 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 *) let betree_Leaf_split (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)) = let* p = betree_List_split_at (u64 & u64) content params.split_size in let (content0, content1) = p in - let* p0 = betree_List_hd (u64 & u64) content1 in - let (pivot, _) = p0 in - let* id0 = betree_NodeIdCounter_fresh_id node_id_cnt in - let* node_id_cnt0 = betree_NodeIdCounter_fresh_id_back node_id_cnt in - let* id1 = betree_NodeIdCounter_fresh_id node_id_cnt0 in - let* (st0, _) = betree_store_leaf_node id0 content0 st in - let* (st1, _) = betree_store_leaf_node id1 content1 st0 in + let* p1 = betree_List_hd (u64 & u64) content1 in + let (pivot, _) = p1 in + let* (id0, nic) = betree_NodeIdCounter_fresh_id node_id_cnt in + let* (id1, nic1) = betree_NodeIdCounter_fresh_id nic in + let* (st1, _) = betree_store_leaf_node id0 content0 st in + let* (st2, _) = betree_store_leaf_node id1 content1 st1 in let n = Betree_Node_Leaf { id = id0; size = params.split_size } in - let n0 = Betree_Node_Leaf { id = id1; size = params.split_size } in - Return (st1, { id = self.id; pivot = pivot; left = n; right = n0 }) + let n1 = Betree_Node_Leaf { id = id1; size = params.split_size } in + Return (st2, ({ id = self.id; pivot = pivot; left = n; right = n1 }, nic1)) -(** [betree_main::betree::{betree_main::betree::Leaf#3}::split]: backward function 2 - Source: 'src/betree.rs', lines 359:4-364:17 *) -let betree_Leaf_split_back - (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 - = - let* p = betree_List_split_at (u64 & u64) content params.split_size in - let (content0, content1) = p in - let* _ = betree_List_hd (u64 & u64) content1 in - let* id0 = betree_NodeIdCounter_fresh_id node_id_cnt in - let* node_id_cnt0 = betree_NodeIdCounter_fresh_id_back node_id_cnt in - let* id1 = betree_NodeIdCounter_fresh_id node_id_cnt0 in - let* (st0, _) = betree_store_leaf_node id0 content0 st in - let* _ = betree_store_leaf_node id1 content1 st0 in - 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 *) let rec betree_Node_lookup_first_message_for_key (key : u64) (msgs : betree_List_t (u64 & betree_Message_t)) : - Tot (result (betree_List_t (u64 & betree_Message_t))) + Tot (result ((betree_List_t (u64 & betree_Message_t)) & (betree_List_t (u64 & + betree_Message_t) -> result (betree_List_t (u64 & betree_Message_t))))) (decreases (betree_Node_lookup_first_message_for_key_decreases key msgs)) = begin match msgs with | Betree_List_Cons x next_msgs -> let (i, m) = x in if i >= key - then Return (Betree_List_Cons (i, m) next_msgs) - else betree_Node_lookup_first_message_for_key key next_msgs - | Betree_List_Nil -> Return Betree_List_Nil - 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 *) -let rec betree_Node_lookup_first_message_for_key_back - (key : u64) (msgs : betree_List_t (u64 & betree_Message_t)) - (ret : betree_List_t (u64 & betree_Message_t)) : - Tot (result (betree_List_t (u64 & betree_Message_t))) - (decreases (betree_Node_lookup_first_message_for_key_decreases key msgs)) - = - begin match msgs with - | Betree_List_Cons x next_msgs -> - let (i, m) = x in - if i >= key - then Return ret + then Return (Betree_List_Cons (i, m) next_msgs, Return) else - let* next_msgs0 = - betree_Node_lookup_first_message_for_key_back key next_msgs ret in - Return (Betree_List_Cons (i, m) next_msgs0) - | Betree_List_Nil -> Return ret + let* (l, lookup_first_message_for_key_back) = + betree_Node_lookup_first_message_for_key key next_msgs in + let back_'a = + fun ret -> + let* next_msgs1 = lookup_first_message_for_key_back ret in + Return (Betree_List_Cons (i, m) next_msgs1) in + Return (l, back_'a) + | Betree_List_Nil -> Return (Betree_List_Nil, Return) 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 *) let rec betree_Node_lookup_in_bindings (key : u64) (bindings : betree_List_t (u64 & u64)) : @@ -267,215 +213,110 @@ let rec betree_Node_lookup_in_bindings = begin match bindings with | Betree_List_Cons hd tl -> - let (i, i0) = hd in + let (i, i1) = hd in if i = key - then Return (Some i0) + then Return (Some i1) else if i > key then Return None else betree_Node_lookup_in_bindings key tl | Betree_List_Nil -> Return None 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 *) let rec betree_Node_apply_upserts (msgs : betree_List_t (u64 & betree_Message_t)) (prev : option u64) (key : u64) (st : state) : - Tot (result (state & u64)) + Tot (result (state & (u64 & (betree_List_t (u64 & betree_Message_t))))) (decreases (betree_Node_apply_upserts_decreases msgs prev key st)) = let* b = betree_ListTupleU64T_head_has_key betree_Message_t msgs key in if b then - let* msg = betree_List_pop_front (u64 & betree_Message_t) msgs in + let* (msg, l) = betree_List_pop_front (u64 & betree_Message_t) msgs in let (_, m) = msg in begin match m with - | Betree_Message_Insert i -> Fail Failure + | Betree_Message_Insert _ -> Fail Failure | Betree_Message_Delete -> Fail Failure | Betree_Message_Upsert s -> let* v = betree_upsert_update prev s in - let* msgs0 = betree_List_pop_front_back (u64 & betree_Message_t) msgs in - betree_Node_apply_upserts msgs0 (Some v) key st + betree_Node_apply_upserts l (Some v) key st end else - let* (st0, v) = core_option_Option_unwrap u64 prev st in - let* _ = + let* (st1, v) = core_option_Option_unwrap u64 prev st in + let* l = betree_List_push_front (u64 & betree_Message_t) msgs (key, Betree_Message_Insert v) in - Return (st0, v) - -(** [betree_main::betree::{betree_main::betree::Node#5}::apply_upserts]: backward function 0 - Source: 'src/betree.rs', lines 819:4-819:90 *) -let rec betree_Node_apply_upserts_back - (msgs : betree_List_t (u64 & betree_Message_t)) (prev : option u64) - (key : u64) (st : state) : - Tot (result (betree_List_t (u64 & betree_Message_t))) - (decreases (betree_Node_apply_upserts_decreases msgs prev key st)) - = - let* b = betree_ListTupleU64T_head_has_key betree_Message_t msgs key in - if b - then - let* msg = betree_List_pop_front (u64 & betree_Message_t) msgs in - let (_, m) = msg in - begin match m with - | Betree_Message_Insert i -> Fail Failure - | Betree_Message_Delete -> Fail Failure - | Betree_Message_Upsert s -> - let* v = betree_upsert_update prev s in - let* msgs0 = betree_List_pop_front_back (u64 & betree_Message_t) msgs in - betree_Node_apply_upserts_back msgs0 (Some v) key st - end - else - let* (_, v) = core_option_Option_unwrap u64 prev st in - betree_List_push_front (u64 & betree_Message_t) msgs (key, - Betree_Message_Insert v) + Return (st1, (v, l)) -(** [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 *) let rec betree_Internal_lookup_in_children (self : betree_Internal_t) (key : u64) (st : state) : - Tot (result (state & (option u64))) - (decreases (betree_Internal_lookup_in_children_decreases self key st)) - = - if key < self.pivot - then betree_Node_lookup self.left key st - else betree_Node_lookup self.right key st - -(** [betree_main::betree::{betree_main::betree::Internal#4}::lookup_in_children]: backward function 0 - Source: 'src/betree.rs', lines 395:4-395:63 *) -and betree_Internal_lookup_in_children_back - (self : betree_Internal_t) (key : u64) (st : state) : - Tot (result betree_Internal_t) + Tot (result (state & ((option u64) & betree_Internal_t))) (decreases (betree_Internal_lookup_in_children_decreases self key st)) = if key < self.pivot then - let* n = betree_Node_lookup_back self.left key st in - Return { self with left = n } + let* (st1, (o, n)) = betree_Node_lookup self.left key st in + Return (st1, (o, { self with left = n })) else - let* n = betree_Node_lookup_back self.right key st in - Return { self with right = n } + let* (st1, (o, n)) = betree_Node_lookup self.right key st in + Return (st1, (o, { self with right = n })) -(** [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 *) and betree_Node_lookup (self : betree_Node_t) (key : u64) (st : state) : - Tot (result (state & (option u64))) + Tot (result (state & ((option u64) & betree_Node_t))) (decreases (betree_Node_lookup_decreases self key st)) = begin match self with | Betree_Node_Internal node -> - let* (st0, msgs) = betree_load_internal_node node.id st in - let* pending = betree_Node_lookup_first_message_for_key key msgs in + let* (st1, msgs) = betree_load_internal_node node.id st in + let* (pending, lookup_first_message_for_key_back) = + betree_Node_lookup_first_message_for_key key msgs in begin match pending with | Betree_List_Cons p l -> let (k, msg) = p in if k <> key then - let* (st1, o) = betree_Internal_lookup_in_children node key st0 in + let* (st2, (o, i)) = betree_Internal_lookup_in_children node key st1 in let* _ = - betree_Node_lookup_first_message_for_key_back key msgs - (Betree_List_Cons (k, msg) l) in - Return (st1, o) + lookup_first_message_for_key_back (Betree_List_Cons (k, msg) l) in + Return (st2, (o, Betree_Node_Internal i)) else begin match msg with | Betree_Message_Insert v -> let* _ = - betree_Node_lookup_first_message_for_key_back key msgs - (Betree_List_Cons (k, Betree_Message_Insert v) l) in - Return (st0, Some v) + lookup_first_message_for_key_back (Betree_List_Cons (k, + Betree_Message_Insert v) l) in + Return (st1, (Some v, Betree_Node_Internal node)) | Betree_Message_Delete -> let* _ = - betree_Node_lookup_first_message_for_key_back key msgs - (Betree_List_Cons (k, Betree_Message_Delete) l) in - Return (st0, None) + lookup_first_message_for_key_back (Betree_List_Cons (k, + Betree_Message_Delete) l) in + Return (st1, (None, Betree_Node_Internal node)) | Betree_Message_Upsert ufs -> - let* (st1, v) = betree_Internal_lookup_in_children node key st0 in - let* (st2, v0) = + let* (st2, (v, i)) = betree_Internal_lookup_in_children node key st1 + in + let* (st3, (v1, l1)) = betree_Node_apply_upserts (Betree_List_Cons (k, - Betree_Message_Upsert ufs) l) v key st1 in - let* node0 = betree_Internal_lookup_in_children_back node key st0 in - let* pending0 = - betree_Node_apply_upserts_back (Betree_List_Cons (k, - Betree_Message_Upsert ufs) l) v key st1 in - let* msgs0 = - betree_Node_lookup_first_message_for_key_back key msgs pending0 in - let* (st3, _) = betree_store_internal_node node0.id msgs0 st2 in - Return (st3, Some v0) + Betree_Message_Upsert ufs) l) v key st2 in + let* msgs1 = lookup_first_message_for_key_back l1 in + let* (st4, _) = betree_store_internal_node i.id msgs1 st3 in + Return (st4, (Some v1, Betree_Node_Internal i)) end | Betree_List_Nil -> - let* (st1, o) = betree_Internal_lookup_in_children node key st0 in - let* _ = - betree_Node_lookup_first_message_for_key_back key msgs Betree_List_Nil - in - Return (st1, o) + let* (st2, (o, i)) = betree_Internal_lookup_in_children node key st1 in + let* _ = lookup_first_message_for_key_back Betree_List_Nil in + Return (st2, (o, Betree_Node_Internal i)) end | Betree_Node_Leaf node -> - let* (st0, bindings) = betree_load_leaf_node node.id st in + let* (st1, bindings) = betree_load_leaf_node node.id st in let* o = betree_Node_lookup_in_bindings key bindings in - Return (st0, o) - end - -(** [betree_main::betree::{betree_main::betree::Node#5}::lookup]: backward function 0 - Source: 'src/betree.rs', lines 709:4-709:58 *) -and betree_Node_lookup_back - (self : betree_Node_t) (key : u64) (st : state) : - Tot (result betree_Node_t) - (decreases (betree_Node_lookup_decreases self key st)) - = - begin match self with - | Betree_Node_Internal node -> - let* (st0, msgs) = betree_load_internal_node node.id st in - let* pending = betree_Node_lookup_first_message_for_key key msgs in - begin match pending with - | Betree_List_Cons p l -> - let (k, msg) = p in - if k <> key - then - let* _ = - betree_Node_lookup_first_message_for_key_back key msgs - (Betree_List_Cons (k, msg) l) in - let* node0 = betree_Internal_lookup_in_children_back node key st0 in - Return (Betree_Node_Internal node0) - else - begin match msg with - | Betree_Message_Insert v -> - let* _ = - betree_Node_lookup_first_message_for_key_back key msgs - (Betree_List_Cons (k, Betree_Message_Insert v) l) in - Return (Betree_Node_Internal node) - | Betree_Message_Delete -> - let* _ = - betree_Node_lookup_first_message_for_key_back key msgs - (Betree_List_Cons (k, Betree_Message_Delete) l) in - Return (Betree_Node_Internal node) - | Betree_Message_Upsert ufs -> - let* (st1, v) = betree_Internal_lookup_in_children node key st0 in - let* (st2, _) = - betree_Node_apply_upserts (Betree_List_Cons (k, - Betree_Message_Upsert ufs) l) v key st1 in - let* node0 = betree_Internal_lookup_in_children_back node key st0 in - let* pending0 = - betree_Node_apply_upserts_back (Betree_List_Cons (k, - Betree_Message_Upsert ufs) l) v key st1 in - let* msgs0 = - betree_Node_lookup_first_message_for_key_back key msgs pending0 in - let* _ = betree_store_internal_node node0.id msgs0 st2 in - Return (Betree_Node_Internal node0) - end - | Betree_List_Nil -> - let* _ = - betree_Node_lookup_first_message_for_key_back key msgs Betree_List_Nil - in - let* node0 = betree_Internal_lookup_in_children_back node key st0 in - Return (Betree_Node_Internal node0) - end - | Betree_Node_Leaf node -> - let* (_, bindings) = betree_load_leaf_node node.id st in - let* _ = betree_Node_lookup_in_bindings key bindings in - Return (Betree_Node_Leaf node) + Return (st1, (o, Betree_Node_Leaf node)) 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 *) let rec betree_Node_filter_messages_for_key (key : u64) (msgs : betree_List_t (u64 & betree_Message_t)) : @@ -487,36 +328,20 @@ let rec betree_Node_filter_messages_for_key let (k, m) = p in if k = key then - let* msgs0 = - betree_List_pop_front_back (u64 & betree_Message_t) (Betree_List_Cons - (k, m) l) in - betree_Node_filter_messages_for_key key msgs0 + let* (_, l1) = + betree_List_pop_front (u64 & betree_Message_t) (Betree_List_Cons (k, m) + l) in + betree_Node_filter_messages_for_key key l1 else Return (Betree_List_Cons (k, m) l) | Betree_List_Nil -> Return Betree_List_Nil 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 *) let rec betree_Node_lookup_first_message_after_key (key : u64) (msgs : betree_List_t (u64 & betree_Message_t)) : - Tot (result (betree_List_t (u64 & betree_Message_t))) - (decreases (betree_Node_lookup_first_message_after_key_decreases key msgs)) - = - begin match msgs with - | Betree_List_Cons p next_msgs -> - let (k, m) = p in - if k = key - then betree_Node_lookup_first_message_after_key key next_msgs - else Return (Betree_List_Cons (k, m) next_msgs) - | Betree_List_Nil -> Return Betree_List_Nil - 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 *) -let rec betree_Node_lookup_first_message_after_key_back - (key : u64) (msgs : betree_List_t (u64 & betree_Message_t)) - (ret : betree_List_t (u64 & betree_Message_t)) : - Tot (result (betree_List_t (u64 & betree_Message_t))) + Tot (result ((betree_List_t (u64 & betree_Message_t)) & (betree_List_t (u64 & + betree_Message_t) -> result (betree_List_t (u64 & betree_Message_t))))) (decreases (betree_Node_lookup_first_message_after_key_decreases key msgs)) = begin match msgs with @@ -524,75 +349,76 @@ let rec betree_Node_lookup_first_message_after_key_back let (k, m) = p in if k = key then - let* next_msgs0 = - betree_Node_lookup_first_message_after_key_back key next_msgs ret in - Return (Betree_List_Cons (k, m) next_msgs0) - else Return ret - | Betree_List_Nil -> Return ret + let* (l, lookup_first_message_after_key_back) = + betree_Node_lookup_first_message_after_key key next_msgs in + let back_'a = + fun ret -> + let* next_msgs1 = lookup_first_message_after_key_back ret in + 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 -(** [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 *) let betree_Node_apply_to_internal (msgs : betree_List_t (u64 & betree_Message_t)) (key : u64) (new_msg : betree_Message_t) : result (betree_List_t (u64 & betree_Message_t)) = - let* msgs0 = betree_Node_lookup_first_message_for_key key msgs in - let* b = betree_ListTupleU64T_head_has_key betree_Message_t msgs0 key in + let* (msgs1, lookup_first_message_for_key_back) = + betree_Node_lookup_first_message_for_key key msgs in + let* b = betree_ListTupleU64T_head_has_key betree_Message_t msgs1 key in if b then begin match new_msg with | Betree_Message_Insert i -> - let* msgs1 = betree_Node_filter_messages_for_key key msgs0 in - let* msgs2 = - betree_List_push_front (u64 & betree_Message_t) msgs1 (key, + let* l = betree_Node_filter_messages_for_key key msgs1 in + let* l1 = + betree_List_push_front (u64 & betree_Message_t) l (key, Betree_Message_Insert i) in - betree_Node_lookup_first_message_for_key_back key msgs msgs2 + lookup_first_message_for_key_back l1 | Betree_Message_Delete -> - let* msgs1 = betree_Node_filter_messages_for_key key msgs0 in - let* msgs2 = - betree_List_push_front (u64 & betree_Message_t) msgs1 (key, + let* l = betree_Node_filter_messages_for_key key msgs1 in + let* l1 = + betree_List_push_front (u64 & betree_Message_t) l (key, Betree_Message_Delete) in - betree_Node_lookup_first_message_for_key_back key msgs msgs2 + lookup_first_message_for_key_back l1 | Betree_Message_Upsert s -> - let* p = betree_List_hd (u64 & betree_Message_t) msgs0 in + let* p = betree_List_hd (u64 & betree_Message_t) msgs1 in let (_, m) = p in begin match m with | Betree_Message_Insert prev -> let* v = betree_upsert_update (Some prev) s in - let* msgs1 = betree_List_pop_front_back (u64 & betree_Message_t) msgs0 - in - let* msgs2 = - betree_List_push_front (u64 & betree_Message_t) msgs1 (key, + let* (_, l) = betree_List_pop_front (u64 & betree_Message_t) msgs1 in + let* l1 = + betree_List_push_front (u64 & betree_Message_t) l (key, Betree_Message_Insert v) in - betree_Node_lookup_first_message_for_key_back key msgs msgs2 + lookup_first_message_for_key_back l1 | Betree_Message_Delete -> + let* (_, l) = betree_List_pop_front (u64 & betree_Message_t) msgs1 in let* v = betree_upsert_update None s in - let* msgs1 = betree_List_pop_front_back (u64 & betree_Message_t) msgs0 - in - let* msgs2 = - betree_List_push_front (u64 & betree_Message_t) msgs1 (key, + let* l1 = + betree_List_push_front (u64 & betree_Message_t) l (key, Betree_Message_Insert v) in - betree_Node_lookup_first_message_for_key_back key msgs msgs2 - | Betree_Message_Upsert ufs -> - let* msgs1 = betree_Node_lookup_first_message_after_key key msgs0 in - let* msgs2 = - betree_List_push_front (u64 & betree_Message_t) msgs1 (key, + lookup_first_message_for_key_back l1 + | Betree_Message_Upsert _ -> + let* (msgs2, lookup_first_message_after_key_back) = + betree_Node_lookup_first_message_after_key key msgs1 in + let* l = + betree_List_push_front (u64 & betree_Message_t) msgs2 (key, Betree_Message_Upsert s) in - let* msgs3 = - betree_Node_lookup_first_message_after_key_back key msgs0 msgs2 in - betree_Node_lookup_first_message_for_key_back key msgs msgs3 + let* msgs3 = lookup_first_message_after_key_back l in + lookup_first_message_for_key_back msgs3 end end else - let* msgs1 = - betree_List_push_front (u64 & betree_Message_t) msgs0 (key, new_msg) in - betree_Node_lookup_first_message_for_key_back key msgs msgs1 + let* l = + betree_List_push_front (u64 & betree_Message_t) msgs1 (key, new_msg) in + 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 *) let rec betree_Node_apply_messages_to_internal (msgs : betree_List_t (u64 & betree_Message_t)) @@ -603,89 +429,72 @@ let rec betree_Node_apply_messages_to_internal begin match new_msgs with | Betree_List_Cons new_msg new_msgs_tl -> let (i, m) = new_msg in - let* msgs0 = betree_Node_apply_to_internal msgs i m in - betree_Node_apply_messages_to_internal msgs0 new_msgs_tl + let* l = betree_Node_apply_to_internal msgs i m in + betree_Node_apply_messages_to_internal l new_msgs_tl | Betree_List_Nil -> Return msgs 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 *) let rec betree_Node_lookup_mut_in_bindings (key : u64) (bindings : betree_List_t (u64 & u64)) : - Tot (result (betree_List_t (u64 & u64))) - (decreases (betree_Node_lookup_mut_in_bindings_decreases key bindings)) - = - begin match bindings with - | Betree_List_Cons hd tl -> - let (i, i0) = hd in - if i >= key - then Return (Betree_List_Cons (i, i0) tl) - else betree_Node_lookup_mut_in_bindings key tl - | Betree_List_Nil -> Return Betree_List_Nil - 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 *) -let rec betree_Node_lookup_mut_in_bindings_back - (key : u64) (bindings : betree_List_t (u64 & u64)) - (ret : betree_List_t (u64 & u64)) : - Tot (result (betree_List_t (u64 & u64))) + Tot (result ((betree_List_t (u64 & u64)) & (betree_List_t (u64 & u64) -> + result (betree_List_t (u64 & u64))))) (decreases (betree_Node_lookup_mut_in_bindings_decreases key bindings)) = begin match bindings with | Betree_List_Cons hd tl -> - let (i, i0) = hd in + let (i, i1) = hd in if i >= key - then Return ret + then Return (Betree_List_Cons (i, i1) tl, Return) else - let* tl0 = betree_Node_lookup_mut_in_bindings_back key tl ret in - Return (Betree_List_Cons (i, i0) tl0) - | Betree_List_Nil -> Return ret + let* (l, lookup_mut_in_bindings_back) = + betree_Node_lookup_mut_in_bindings key tl in + let back_'a = + fun ret -> + let* tl1 = lookup_mut_in_bindings_back ret in + Return (Betree_List_Cons (i, i1) tl1) in + Return (l, back_'a) + | Betree_List_Nil -> Return (Betree_List_Nil, Return) 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 *) let betree_Node_apply_to_leaf (bindings : betree_List_t (u64 & u64)) (key : u64) (new_msg : betree_Message_t) : result (betree_List_t (u64 & u64)) = - let* bindings0 = betree_Node_lookup_mut_in_bindings key bindings in - let* b = betree_ListTupleU64T_head_has_key u64 bindings0 key in + let* (bindings1, lookup_mut_in_bindings_back) = + betree_Node_lookup_mut_in_bindings key bindings in + let* b = betree_ListTupleU64T_head_has_key u64 bindings1 key in if b then - let* hd = betree_List_pop_front (u64 & u64) bindings0 in + let* (hd, l) = betree_List_pop_front (u64 & u64) bindings1 in begin match new_msg with | Betree_Message_Insert v -> - let* bindings1 = betree_List_pop_front_back (u64 & u64) bindings0 in - let* bindings2 = betree_List_push_front (u64 & u64) bindings1 (key, v) in - betree_Node_lookup_mut_in_bindings_back key bindings bindings2 - | Betree_Message_Delete -> - let* bindings1 = betree_List_pop_front_back (u64 & u64) bindings0 in - betree_Node_lookup_mut_in_bindings_back key bindings bindings1 + let* l1 = betree_List_push_front (u64 & u64) l (key, v) in + lookup_mut_in_bindings_back l1 + | Betree_Message_Delete -> lookup_mut_in_bindings_back l | Betree_Message_Upsert s -> let (_, i) = hd in let* v = betree_upsert_update (Some i) s in - let* bindings1 = betree_List_pop_front_back (u64 & u64) bindings0 in - let* bindings2 = betree_List_push_front (u64 & u64) bindings1 (key, v) in - betree_Node_lookup_mut_in_bindings_back key bindings bindings2 + let* l1 = betree_List_push_front (u64 & u64) l (key, v) in + lookup_mut_in_bindings_back l1 end else begin match new_msg with | Betree_Message_Insert v -> - let* bindings1 = betree_List_push_front (u64 & u64) bindings0 (key, v) in - betree_Node_lookup_mut_in_bindings_back key bindings bindings1 - | Betree_Message_Delete -> - betree_Node_lookup_mut_in_bindings_back key bindings bindings0 + let* l = betree_List_push_front (u64 & u64) bindings1 (key, v) in + lookup_mut_in_bindings_back l + | Betree_Message_Delete -> lookup_mut_in_bindings_back bindings1 | Betree_Message_Upsert s -> let* v = betree_upsert_update None s in - let* bindings1 = betree_List_push_front (u64 & u64) bindings0 (key, v) in - betree_Node_lookup_mut_in_bindings_back key bindings bindings1 + let* l = betree_List_push_front (u64 & u64) bindings1 (key, v) in + 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 *) let rec betree_Node_apply_messages_to_leaf (bindings : betree_List_t (u64 & u64)) @@ -696,18 +505,19 @@ let rec betree_Node_apply_messages_to_leaf begin match new_msgs with | Betree_List_Cons new_msg new_msgs_tl -> let (i, m) = new_msg in - let* bindings0 = betree_Node_apply_to_leaf bindings i m in - betree_Node_apply_messages_to_leaf bindings0 new_msgs_tl + let* l = betree_Node_apply_to_leaf bindings i m in + betree_Node_apply_messages_to_leaf l new_msgs_tl | Betree_List_Nil -> Return bindings 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 *) let rec betree_Internal_flush (self : betree_Internal_t) (params : betree_Params_t) (node_id_cnt : betree_NodeIdCounter_t) (content : betree_List_t (u64 & betree_Message_t)) (st : state) : - Tot (result (state & (betree_List_t (u64 & betree_Message_t)))) + Tot (result (state & ((betree_List_t (u64 & betree_Message_t)) & + (betree_Internal_t & betree_NodeIdCounter_t)))) (decreases ( betree_Internal_flush_decreases self params node_id_cnt content st)) = @@ -718,290 +528,142 @@ let rec betree_Internal_flush let* len_left = betree_List_len (u64 & betree_Message_t) msgs_left in if len_left >= params.min_flush_size then - let* (st0, _) = + let* (st1, p1) = betree_Node_apply_messages self.left params node_id_cnt msgs_left st in - let* (_, node_id_cnt0) = - betree_Node_apply_messages_back self.left params node_id_cnt msgs_left st - in + let (n, node_id_cnt1) = p1 in let* len_right = betree_List_len (u64 & betree_Message_t) msgs_right in if len_right >= params.min_flush_size then - let* (st1, _) = - betree_Node_apply_messages self.right params node_id_cnt0 msgs_right - st0 in - let* _ = - betree_Node_apply_messages_back self.right params node_id_cnt0 - msgs_right st0 in - Return (st1, Betree_List_Nil) - else Return (st0, msgs_right) + let* (st2, p2) = + betree_Node_apply_messages self.right params node_id_cnt1 msgs_right + st1 in + let (n1, node_id_cnt2) = p2 in + Return (st2, (Betree_List_Nil, ({ self with left = n; right = n1 }, + node_id_cnt2))) + else Return (st1, (msgs_right, ({ self with left = n }, node_id_cnt1))) else - let* (st0, _) = + let* (st1, p1) = betree_Node_apply_messages self.right params node_id_cnt msgs_right st in - let* _ = - betree_Node_apply_messages_back self.right params node_id_cnt msgs_right - st in - Return (st0, msgs_left) - -(** [betree_main::betree::{betree_main::betree::Internal#4}::flush]: backward function 0 - Source: 'src/betree.rs', lines 410:4-415:26 *) -and betree_Internal_flush_back - (self : betree_Internal_t) (params : betree_Params_t) - (node_id_cnt : betree_NodeIdCounter_t) - (content : betree_List_t (u64 & betree_Message_t)) (st : state) : - Tot (result (betree_Internal_t & betree_NodeIdCounter_t)) - (decreases ( - betree_Internal_flush_decreases self params node_id_cnt content st)) - = - let* p = - betree_ListTupleU64T_partition_at_pivot betree_Message_t content self.pivot - in - let (msgs_left, msgs_right) = p in - let* len_left = betree_List_len (u64 & betree_Message_t) msgs_left in - if len_left >= params.min_flush_size - then - let* (st0, _) = - betree_Node_apply_messages self.left params node_id_cnt msgs_left st in - let* (n, node_id_cnt0) = - betree_Node_apply_messages_back self.left params node_id_cnt msgs_left st - in - let* len_right = betree_List_len (u64 & betree_Message_t) msgs_right in - if len_right >= params.min_flush_size - then - let* (n0, node_id_cnt1) = - betree_Node_apply_messages_back self.right params node_id_cnt0 - msgs_right st0 in - Return ({ self with left = n; right = n0 }, node_id_cnt1) - else Return ({ self with left = n }, node_id_cnt0) - else - let* (n, node_id_cnt0) = - betree_Node_apply_messages_back self.right params node_id_cnt msgs_right - st in - Return ({ self with right = n }, node_id_cnt0) + let (n, node_id_cnt1) = p1 in + Return (st1, (msgs_left, ({ self with right = n }, node_id_cnt1))) -(** [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 *) and betree_Node_apply_messages (self : betree_Node_t) (params : betree_Params_t) (node_id_cnt : betree_NodeIdCounter_t) (msgs : betree_List_t (u64 & betree_Message_t)) (st : state) : - Tot (result (state & unit)) - (decreases ( - betree_Node_apply_messages_decreases self params node_id_cnt msgs st)) - = - begin match self with - | Betree_Node_Internal node -> - let* (st0, content) = betree_load_internal_node node.id st in - let* content0 = betree_Node_apply_messages_to_internal content msgs in - let* num_msgs = betree_List_len (u64 & betree_Message_t) content0 in - if num_msgs >= params.min_flush_size - then - let* (st1, content1) = - betree_Internal_flush node params node_id_cnt content0 st0 in - let* (node0, _) = - betree_Internal_flush_back node params node_id_cnt content0 st0 in - let* (st2, _) = betree_store_internal_node node0.id content1 st1 in - Return (st2, ()) - else - let* (st1, _) = betree_store_internal_node node.id content0 st0 in - Return (st1, ()) - | Betree_Node_Leaf node -> - let* (st0, content) = betree_load_leaf_node node.id st in - let* content0 = betree_Node_apply_messages_to_leaf content msgs in - let* len = betree_List_len (u64 & u64) content0 in - let* i = u64_mul 2 params.split_size in - if len >= i - then - let* (st1, _) = betree_Leaf_split node content0 params node_id_cnt st0 in - let* (st2, _) = betree_store_leaf_node node.id Betree_List_Nil st1 in - Return (st2, ()) - else - let* (st1, _) = betree_store_leaf_node node.id content0 st0 in - Return (st1, ()) - end - -(** [betree_main::betree::{betree_main::betree::Node#5}::apply_messages]: backward function 0 - Source: 'src/betree.rs', lines 588:4-593:5 *) -and betree_Node_apply_messages_back - (self : betree_Node_t) (params : betree_Params_t) - (node_id_cnt : betree_NodeIdCounter_t) - (msgs : betree_List_t (u64 & betree_Message_t)) (st : state) : - Tot (result (betree_Node_t & betree_NodeIdCounter_t)) + Tot (result (state & (betree_Node_t & betree_NodeIdCounter_t))) (decreases ( betree_Node_apply_messages_decreases self params node_id_cnt msgs st)) = begin match self with | Betree_Node_Internal node -> - let* (st0, content) = betree_load_internal_node node.id st in - let* content0 = betree_Node_apply_messages_to_internal content msgs in - let* num_msgs = betree_List_len (u64 & betree_Message_t) content0 in + let* (st1, content) = betree_load_internal_node node.id st in + let* l = betree_Node_apply_messages_to_internal content msgs in + let* num_msgs = betree_List_len (u64 & betree_Message_t) l in if num_msgs >= params.min_flush_size then - let* (st1, content1) = - betree_Internal_flush node params node_id_cnt content0 st0 in - let* (node0, node_id_cnt0) = - betree_Internal_flush_back node params node_id_cnt content0 st0 in - let* _ = betree_store_internal_node node0.id content1 st1 in - Return (Betree_Node_Internal node0, node_id_cnt0) + let* (st2, (content1, p)) = + betree_Internal_flush node params node_id_cnt l st1 in + let (node1, node_id_cnt1) = p in + let* (st3, _) = betree_store_internal_node node1.id content1 st2 in + Return (st3, (Betree_Node_Internal node1, node_id_cnt1)) else - let* _ = betree_store_internal_node node.id content0 st0 in - Return (Betree_Node_Internal node, node_id_cnt) + let* (st2, _) = betree_store_internal_node node.id l st1 in + Return (st2, (Betree_Node_Internal node, node_id_cnt)) | Betree_Node_Leaf node -> - let* (st0, content) = betree_load_leaf_node node.id st in - let* content0 = betree_Node_apply_messages_to_leaf content msgs in - let* len = betree_List_len (u64 & u64) content0 in + let* (st1, content) = betree_load_leaf_node node.id st in + let* l = betree_Node_apply_messages_to_leaf content msgs in + let* len = betree_List_len (u64 & u64) l in let* i = u64_mul 2 params.split_size in if len >= i then - let* (st1, new_node) = - betree_Leaf_split node content0 params node_id_cnt st0 in - let* _ = betree_store_leaf_node node.id Betree_List_Nil st1 in - let* node_id_cnt0 = - betree_Leaf_split_back node content0 params node_id_cnt st0 in - Return (Betree_Node_Internal new_node, node_id_cnt0) + let* (st2, (new_node, nic)) = + betree_Leaf_split node l params node_id_cnt st1 in + let* (st3, _) = betree_store_leaf_node node.id Betree_List_Nil st2 in + Return (st3, (Betree_Node_Internal new_node, nic)) else - let* _ = betree_store_leaf_node node.id content0 st0 in - Return (Betree_Node_Leaf { node with size = len }, node_id_cnt) + let* (st2, _) = betree_store_leaf_node node.id l st1 in + Return (st2, (Betree_Node_Leaf { node with size = len }, node_id_cnt)) 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 *) let betree_Node_apply (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 - let* (st0, _) = + let* (st1, p) = betree_Node_apply_messages self params node_id_cnt (Betree_List_Cons (key, - new_msg) l) st in - let* _ = - betree_Node_apply_messages_back self params node_id_cnt (Betree_List_Cons - (key, new_msg) l) st in - Return (st0, ()) - -(** [betree_main::betree::{betree_main::betree::Node#5}::apply]: backward function 0 - Source: 'src/betree.rs', lines 576:4-582:5 *) -let betree_Node_apply_back - (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 self params node_id_cnt (Betree_List_Cons - (key, new_msg) l) st + new_msg) Betree_List_Nil) st in + let (self1, node_id_cnt1) = p in + Return (st1, (self1, node_id_cnt1)) -(** [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 *) let betree_BeTree_new (min_flush_size : u64) (split_size : u64) (st : state) : result (state & betree_BeTree_t) = let* node_id_cnt = betree_NodeIdCounter_new in - let* id = betree_NodeIdCounter_fresh_id node_id_cnt in - let* (st0, _) = betree_store_leaf_node id Betree_List_Nil st in - let* node_id_cnt0 = betree_NodeIdCounter_fresh_id_back node_id_cnt in - Return (st0, + let* (id, nic) = betree_NodeIdCounter_fresh_id node_id_cnt in + let* (st1, _) = betree_store_leaf_node id Betree_List_Nil st in + Return (st1, { params = { min_flush_size = min_flush_size; split_size = split_size }; - node_id_cnt = node_id_cnt0; + node_id_cnt = nic; root = (Betree_Node_Leaf { id = id; size = 0 }) }) -(** [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 *) let betree_BeTree_apply (self : betree_BeTree_t) (key : u64) (msg : betree_Message_t) (st : state) : - result (state & unit) + result (state & betree_BeTree_t) = - let* (st0, _) = + let* (st1, p) = betree_Node_apply self.root self.params self.node_id_cnt key msg st in - let* _ = - betree_Node_apply_back self.root self.params self.node_id_cnt key msg st in - Return (st0, ()) + let (n, nic) = p in + Return (st1, { self with node_id_cnt = nic; root = n }) -(** [betree_main::betree::{betree_main::betree::BeTree#6}::apply]: backward function 0 - Source: 'src/betree.rs', lines 868:4-868:47 *) -let betree_BeTree_apply_back - (self : betree_BeTree_t) (key : u64) (msg : betree_Message_t) (st : state) : - result betree_BeTree_t - = - let* (n, nic) = - betree_Node_apply_back self.root self.params self.node_id_cnt key msg st in - Return { self with node_id_cnt = nic; root = n } - -(** [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 *) let betree_BeTree_insert (self : betree_BeTree_t) (key : u64) (value : u64) (st : state) : - result (state & unit) - = - let* (st0, _) = betree_BeTree_apply self key (Betree_Message_Insert value) st - in - let* _ = betree_BeTree_apply_back self key (Betree_Message_Insert value) st - in - Return (st0, ()) - -(** [betree_main::betree::{betree_main::betree::BeTree#6}::insert]: backward function 0 - Source: 'src/betree.rs', lines 874:4-874:52 *) -let betree_BeTree_insert_back - (self : betree_BeTree_t) (key : u64) (value : u64) (st : state) : - result betree_BeTree_t + result (state & betree_BeTree_t) = - betree_BeTree_apply_back self key (Betree_Message_Insert value) st + betree_BeTree_apply 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 *) let betree_BeTree_delete - (self : betree_BeTree_t) (key : u64) (st : state) : result (state & unit) = - let* (st0, _) = betree_BeTree_apply self key Betree_Message_Delete st in - let* _ = betree_BeTree_apply_back self key Betree_Message_Delete st in - Return (st0, ()) - -(** [betree_main::betree::{betree_main::betree::BeTree#6}::delete]: backward function 0 - Source: 'src/betree.rs', lines 880:4-880:38 *) -let betree_BeTree_delete_back - (self : betree_BeTree_t) (key : u64) (st : state) : result betree_BeTree_t = - betree_BeTree_apply_back self key Betree_Message_Delete st - -(** [betree_main::betree::{betree_main::betree::BeTree#6}::upsert]: forward function - Source: 'src/betree.rs', lines 886:4-886:59 *) -let betree_BeTree_upsert - (self : betree_BeTree_t) (key : u64) (upd : betree_UpsertFunState_t) - (st : state) : - result (state & unit) + (self : betree_BeTree_t) (key : u64) (st : state) : + result (state & betree_BeTree_t) = - let* (st0, _) = betree_BeTree_apply self key (Betree_Message_Upsert upd) st - in - let* _ = betree_BeTree_apply_back self key (Betree_Message_Upsert upd) st in - Return (st0, ()) + betree_BeTree_apply self key Betree_Message_Delete st -(** [betree_main::betree::{betree_main::betree::BeTree#6}::upsert]: backward function 0 +(** [betree_main::betree::{betree_main::betree::BeTree#6}::upsert]: Source: 'src/betree.rs', lines 886:4-886:59 *) -let betree_BeTree_upsert_back +let betree_BeTree_upsert (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 self key (Betree_Message_Upsert upd) st + betree_BeTree_apply 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 *) let betree_BeTree_lookup (self : betree_BeTree_t) (key : u64) (st : state) : - result (state & (option u64)) + result (state & ((option u64) & betree_BeTree_t)) = - betree_Node_lookup self.root key st - -(** [betree_main::betree::{betree_main::betree::BeTree#6}::lookup]: backward function 0 - Source: 'src/betree.rs', lines 895:4-895:62 *) -let betree_BeTree_lookup_back - (self : betree_BeTree_t) (key : u64) (st : state) : result betree_BeTree_t = - let* n = betree_Node_lookup_back self.root key st in - Return { self with root = n } + let* (st1, (o, n)) = betree_Node_lookup self.root key st in + Return (st1, (o, { self with root = n })) -(** [betree_main::main]: forward function +(** [betree_main::main]: Source: 'src/betree_main.rs', lines 5:0-5:9 *) let main : result unit = Return () diff --git a/tests/fstar/betree/BetreeMain.FunsExternal.fsti b/tests/fstar/betree/BetreeMain.FunsExternal.fsti index cd2f956f..de9b96fd 100644 --- a/tests/fstar/betree/BetreeMain.FunsExternal.fsti +++ b/tests/fstar/betree/BetreeMain.FunsExternal.fsti @@ -6,29 +6,29 @@ include BetreeMain.Types #set-options "--z3rlimit 50 --fuel 1 --ifuel 1" -(** [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 *) val 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 *) val betree_utils_store_internal_node : u64 -> betree_List_t (u64 & betree_Message_t) -> state -> result (state & 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 *) val 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 *) val 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 *) val core_option_Option_unwrap (t : Type0) : option t -> state -> result (state & t) diff --git a/tests/fstar/betree/Primitives.fst b/tests/fstar/betree/Primitives.fst index a3ffbde4..fca80829 100644 --- a/tests/fstar/betree/Primitives.fst +++ b/tests/fstar/betree/Primitives.fst @@ -55,8 +55,7 @@ type string = string let is_zero (n: nat) : bool = n = 0 let decrease (n: nat{n > 0}) : nat = n - 1 -let core_mem_replace (a : Type0) (x : a) (y : a) : a = x -let core_mem_replace_back (a : Type0) (x : a) (y : a) : a = y +let core_mem_replace (a : Type0) (x : a) (y : a) : a & a = (x, x) // We don't really use raw pointers for now type mut_raw_ptr (t : Type0) = { v : t } @@ -477,8 +476,7 @@ noeq type core_ops_index_Index (self idx : Type0) = { // Trait declaration: [core::ops::index::IndexMut] noeq type core_ops_index_IndexMut (self idx : Type0) = { indexInst : core_ops_index_Index self idx; - index_mut : self → idx → result indexInst.output; - index_mut_back : self → idx → indexInst.output → result self; + index_mut : self → idx → result (indexInst.output & (indexInst.output → result self)); } // Trait declaration [core::ops::deref::Deref] @@ -490,8 +488,7 @@ noeq type core_ops_deref_Deref (self : Type0) = { // Trait declaration [core::ops::deref::DerefMut] noeq type core_ops_deref_DerefMut (self : Type0) = { derefInst : core_ops_deref_Deref self; - deref_mut : self → result derefInst.target; - deref_mut_back : self → derefInst.target → result self; + deref_mut : self → result (derefInst.target & (derefInst.target → result self)); } type core_ops_range_Range (a : Type0) = { @@ -502,8 +499,8 @@ type core_ops_range_Range (a : Type0) = { (*** [alloc] *) let alloc_boxed_Box_deref (t : Type0) (x : t) : result t = Return x -let alloc_boxed_Box_deref_mut (t : Type0) (x : t) : result t = Return x -let alloc_boxed_Box_deref_mut_back (t : Type) (_ : t) (x : t) : result t = Return x +let alloc_boxed_Box_deref_mut (t : Type0) (x : t) : result (t & (t -> result t)) = + Return (x, (fun x -> Return x)) // Trait instance let alloc_boxed_Box_coreopsDerefInst (self : Type0) : core_ops_deref_Deref self = { @@ -515,7 +512,6 @@ let alloc_boxed_Box_coreopsDerefInst (self : Type0) : core_ops_deref_Deref self let alloc_boxed_Box_coreopsDerefMutInst (self : Type0) : core_ops_deref_DerefMut self = { derefInst = alloc_boxed_Box_coreopsDerefInst self; deref_mut = alloc_boxed_Box_deref_mut self; - deref_mut_back = alloc_boxed_Box_deref_mut_back self; } (*** Array *) @@ -535,10 +531,18 @@ let array_index_usize (a : Type0) (n : usize) (x : array a n) (i : usize) : resu if i < length x then Return (index x i) else Fail Failure -let array_update_usize (a : Type0) (n : usize) (x : array a n) (i : usize) (nx : a) : result (array a n) = +let array_update_usize (a : Type0) (n : usize) (x : array a n) (i : usize) (nx : a) : + result (array a n) = if i < length x then Return (list_update x i nx) else Fail Failure +let array_index_mut_usize (a : Type0) (n : usize) (x : array a n) (i : usize) : + result (a & (a -> result (array a n))) = + match array_index_usize a n x i with + | Fail e -> Fail e + | Return v -> + Return (v, array_update_usize a n x i) + (*** Slice *) type slice (a : Type0) = s:list a{length s <= usize_max} @@ -552,6 +556,13 @@ let slice_update_usize (a : Type0) (x : slice a) (i : usize) (nx : a) : result ( if i < length x then Return (list_update x i nx) else Fail Failure +let slice_index_mut_usize (a : Type0) (s : slice a) (i : usize) : + result (a & (a -> result (slice a))) = + match slice_index_usize a s i with + | Fail e -> Fail e + | Return x -> + Return (x, slice_update_usize a s i) + (*** Subslices *) let array_to_slice (a : Type0) (n : usize) (x : array a n) : result (slice a) = Return x @@ -559,6 +570,10 @@ let array_from_slice (a : Type0) (n : usize) (x : array a n) (s : slice a) : res if length s = n then Return s else Fail Failure +let array_to_slice_mut (a : Type0) (n : usize) (x : array a n) : + result (slice a & (slice a -> result (array a n))) = + Return (x, array_from_slice a n x) + // TODO: finish the definitions below (there lacks [List.drop] and [List.take] in the standard library *) let array_subslice (a : Type0) (n : usize) (x : array a n) (r : core_ops_range_Range usize) : result (slice a) = admit() @@ -588,8 +603,13 @@ let alloc_vec_Vec_index_usize (#a : Type0) (v : alloc_vec_Vec a) (i : usize) : r let alloc_vec_Vec_update_usize (#a : Type0) (v : alloc_vec_Vec a) (i : usize) (x : a) : result (alloc_vec_Vec a) = if i < length v then Return (list_update v i x) else Fail Failure -// The **forward** function shouldn't be used -let alloc_vec_Vec_push_fwd (a : Type0) (v : alloc_vec_Vec a) (x : a) : unit = () +let alloc_vec_Vec_index_mut_usize (#a : Type0) (v: alloc_vec_Vec a) (i: usize) : + result (a & (a → result (alloc_vec_Vec a))) = + match alloc_vec_Vec_index_usize v i with + | Return x -> + Return (x, alloc_vec_Vec_update_usize v i) + | Fail e -> Fail e + let alloc_vec_Vec_push (a : Type0) (v : alloc_vec_Vec a) (x : a) : Pure (result (alloc_vec_Vec a)) (requires True) @@ -605,9 +625,6 @@ let alloc_vec_Vec_push (a : Type0) (v : alloc_vec_Vec a) (x : a) : end else Fail Failure -// The **forward** function shouldn't be used -let alloc_vec_Vec_insert_fwd (a : Type0) (v : alloc_vec_Vec a) (i : usize) (x : a) : result unit = - if i < length v then Return () else Fail Failure let alloc_vec_Vec_insert (a : Type0) (v : alloc_vec_Vec a) (i : usize) (x : a) : result (alloc_vec_Vec a) = if i < length v then Return (list_update v i x) else Fail Failure @@ -619,13 +636,11 @@ noeq type core_slice_index_SliceIndex (self t : Type0) = { sealedInst : core_slice_index_private_slice_index_Sealed self; output : Type0; get : self → t → result (option output); - get_mut : self → t → result (option output); - get_mut_back : self → t → option output → result t; + get_mut : self → t → result (option output & (option output -> result t)); get_unchecked : self → const_raw_ptr t → result (const_raw_ptr output); get_unchecked_mut : self → mut_raw_ptr t → result (mut_raw_ptr output); index : self → t → result output; - index_mut : self → t → result output; - index_mut_back : self → t → output → result t; + index_mut : self → t → result (output & (output -> result t)); } // [core::slice::index::[T]::index]: forward function @@ -643,14 +658,8 @@ let core_slice_index_RangeUsize_get (t : Type0) (i : core_ops_range_Range usize) admit () // TODO // [core::slice::index::Range::get_mut]: forward function -let core_slice_index_RangeUsize_get_mut - (t : Type0) : core_ops_range_Range usize → slice t → result (option (slice t)) = - admit () // TODO - -// [core::slice::index::Range::get_mut]: backward function 0 -let core_slice_index_RangeUsize_get_mut_back - (t : Type0) : - core_ops_range_Range usize → slice t → option (slice t) → result (slice t) = +let core_slice_index_RangeUsize_get_mut (t : Type0) : + core_ops_range_Range usize → slice t → result (option (slice t) & (option (slice t) -> result (slice t))) = admit () // TODO // [core::slice::index::Range::get_unchecked]: forward function @@ -675,27 +684,16 @@ let core_slice_index_RangeUsize_index admit () // TODO // [core::slice::index::Range::index_mut]: forward function -let core_slice_index_RangeUsize_index_mut - (t : Type0) : core_ops_range_Range usize → slice t → result (slice t) = - admit () // TODO - -// [core::slice::index::Range::index_mut]: backward function 0 -let core_slice_index_RangeUsize_index_mut_back - (t : Type0) : core_ops_range_Range usize → slice t → slice t → result (slice t) = +let core_slice_index_RangeUsize_index_mut (t : Type0) : + core_ops_range_Range usize → slice t → result (slice t & (slice t -> result (slice t))) = admit () // TODO // [core::slice::index::[T]::index_mut]: forward function let core_slice_index_Slice_index_mut (t idx : Type0) (inst : core_slice_index_SliceIndex idx (slice t)) : - slice t → idx → result inst.output = + slice t → idx → result (inst.output & (inst.output -> result (slice t))) = admit () // -// [core::slice::index::[T]::index_mut]: backward function 0 -let core_slice_index_Slice_index_mut_back - (t idx : Type0) (inst : core_slice_index_SliceIndex idx (slice t)) : - slice t → idx → inst.output → result (slice t) = - admit () // TODO - // [core::array::[T; N]::index]: forward function let core_array_Array_index (t idx : Type0) (n : usize) (inst : core_ops_index_Index (slice t) idx) @@ -705,13 +703,8 @@ let core_array_Array_index // [core::array::[T; N]::index_mut]: forward function let core_array_Array_index_mut (t idx : Type0) (n : usize) (inst : core_ops_index_IndexMut (slice t) idx) - (a : array t n) (i : idx) : result inst.indexInst.output = - admit () // TODO - -// [core::array::[T; N]::index_mut]: backward function 0 -let core_array_Array_index_mut_back - (t idx : Type0) (n : usize) (inst : core_ops_index_IndexMut (slice t) idx) - (a : array t n) (i : idx) (x : inst.indexInst.output) : result (array t n) = + (a : array t n) (i : idx) : + result (inst.indexInst.output & (inst.indexInst.output -> result (array t n))) = admit () // TODO // Trait implementation: [core::slice::index::private_slice_index::Range] @@ -725,12 +718,10 @@ let core_slice_index_SliceIndexRangeUsizeSliceTInst (t : Type0) : output = slice t; get = core_slice_index_RangeUsize_get t; get_mut = core_slice_index_RangeUsize_get_mut t; - get_mut_back = core_slice_index_RangeUsize_get_mut_back t; get_unchecked = core_slice_index_RangeUsize_get_unchecked t; get_unchecked_mut = core_slice_index_RangeUsize_get_unchecked_mut t; index = core_slice_index_RangeUsize_index t; index_mut = core_slice_index_RangeUsize_index_mut t; - index_mut_back = core_slice_index_RangeUsize_index_mut_back t; } // Trait implementation: [core::slice::index::[T]] @@ -747,7 +738,6 @@ let core_ops_index_IndexMutSliceTIInst (t idx : Type0) core_ops_index_IndexMut (slice t) idx = { indexInst = core_ops_index_IndexSliceTIInst t idx inst; index_mut = core_slice_index_Slice_index_mut t idx inst; - index_mut_back = core_slice_index_Slice_index_mut_back t idx inst; } // Trait implementation: [core::array::[T; N]] @@ -764,7 +754,6 @@ let core_ops_index_IndexMutArrayIInst (t idx : Type0) (n : usize) core_ops_index_IndexMut (array t n) idx = { indexInst = core_ops_index_IndexArrayInst t idx n inst.indexInst; index_mut = core_array_Array_index_mut t idx n inst; - index_mut_back = core_array_Array_index_mut_back t idx n inst; } // [core::slice::index::usize::get]: forward function @@ -773,13 +762,8 @@ let core_slice_index_usize_get admit () // TODO // [core::slice::index::usize::get_mut]: forward function -let core_slice_index_usize_get_mut - (t : Type0) : usize → slice t → result (option t) = - admit () // TODO - -// [core::slice::index::usize::get_mut]: backward function 0 -let core_slice_index_usize_get_mut_back - (t : Type0) : usize → slice t → option t → result (slice t) = +let core_slice_index_usize_get_mut (t : Type0) : + usize → slice t → result (option t & (option t -> result (slice t))) = admit () // TODO // [core::slice::index::usize::get_unchecked]: forward function @@ -797,12 +781,8 @@ let core_slice_index_usize_index (t : Type0) : usize → slice t → result t = admit () // TODO // [core::slice::index::usize::index_mut]: forward function -let core_slice_index_usize_index_mut (t : Type0) : usize → slice t → result t = - admit () // TODO - -// [core::slice::index::usize::index_mut]: backward function 0 -let core_slice_index_usize_index_mut_back - (t : Type0) : usize → slice t → t → result (slice t) = +let core_slice_index_usize_index_mut (t : Type0) : + usize → slice t → result (t & (t -> result (slice t))) = admit () // TODO // Trait implementation: [core::slice::index::private_slice_index::usize] @@ -816,12 +796,10 @@ let core_slice_index_SliceIndexUsizeSliceTInst (t : Type0) : output = t; get = core_slice_index_usize_get t; get_mut = core_slice_index_usize_get_mut t; - get_mut_back = core_slice_index_usize_get_mut_back t; get_unchecked = core_slice_index_usize_get_unchecked t; get_unchecked_mut = core_slice_index_usize_get_unchecked_mut t; index = core_slice_index_usize_index t; index_mut = core_slice_index_usize_index_mut t; - index_mut_back = core_slice_index_usize_index_mut_back t; } // [alloc::vec::Vec::index]: forward function @@ -831,13 +809,8 @@ let alloc_vec_Vec_index (t idx : Type0) (inst : core_slice_index_SliceIndex idx // [alloc::vec::Vec::index_mut]: forward function let alloc_vec_Vec_index_mut (t idx : Type0) (inst : core_slice_index_SliceIndex idx (slice t)) - (self : alloc_vec_Vec t) (i : idx) : result inst.output = - admit () // TODO - -// [alloc::vec::Vec::index_mut]: backward function 0 -let alloc_vec_Vec_index_mut_back - (t idx : Type0) (inst : core_slice_index_SliceIndex idx (slice t)) - (self : alloc_vec_Vec t) (i : idx) (x : inst.output) : result (alloc_vec_Vec t) = + (self : alloc_vec_Vec t) (i : idx) : + result (inst.output & (inst.output -> result (alloc_vec_Vec t))) = admit () // TODO // Trait implementation: [alloc::vec::Vec] @@ -854,7 +827,6 @@ let alloc_vec_Vec_coreopsindexIndexMutInst (t idx : Type0) core_ops_index_IndexMut (alloc_vec_Vec t) idx = { indexInst = alloc_vec_Vec_coreopsindexIndexInst t idx inst; index_mut = alloc_vec_Vec_index_mut t idx inst; - index_mut_back = alloc_vec_Vec_index_mut_back t idx inst; } (*** Theorems *) @@ -870,15 +842,7 @@ let alloc_vec_Vec_index_eq (#a : Type0) (v : alloc_vec_Vec a) (i : usize) : let alloc_vec_Vec_index_mut_eq (#a : Type0) (v : alloc_vec_Vec a) (i : usize) : Lemma ( alloc_vec_Vec_index_mut a usize (core_slice_index_SliceIndexUsizeSliceTInst a) v i == - alloc_vec_Vec_index_usize v i) + alloc_vec_Vec_index_mut_usize v i) [SMTPat (alloc_vec_Vec_index_mut a usize (core_slice_index_SliceIndexUsizeSliceTInst a) v i)] = admit() - -let alloc_vec_Vec_index_mut_back_eq (#a : Type0) (v : alloc_vec_Vec a) (i : usize) (x : a) : - Lemma ( - alloc_vec_Vec_index_mut_back a usize (core_slice_index_SliceIndexUsizeSliceTInst a) v i x == - alloc_vec_Vec_update_usize v i x) - [SMTPat (alloc_vec_Vec_index_mut_back a usize (core_slice_index_SliceIndexUsizeSliceTInst a) v i x)] - = - admit() diff --git a/tests/fstar/betree_back_stateful/BetreeMain.Funs.fst b/tests/fstar/betree_back_stateful/BetreeMain.Funs.fst index 6c3c2161..196f120c 100644 --- a/tests/fstar/betree_back_stateful/BetreeMain.Funs.fst +++ b/tests/fstar/betree_back_stateful/BetreeMain.Funs.fst @@ -8,7 +8,7 @@ include BetreeMain.Clauses #set-options "--z3rlimit 50 --fuel 1 --ifuel 1" -(** [betree_main::betree::load_internal_node]: forward function +(** [betree_main::betree::load_internal_node]: Source: 'src/betree.rs', lines 36:0-36:52 *) let betree_load_internal_node (id : u64) (st : state) : @@ -16,58 +16,48 @@ let 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 *) let betree_store_internal_node (id : u64) (content : betree_List_t (u64 & betree_Message_t)) (st : state) : result (state & unit) = - let* (st0, _) = betree_utils_store_internal_node id content st in - Return (st0, ()) + let* (st1, _) = betree_utils_store_internal_node id content st in + Return (st1, ()) -(** [betree_main::betree::load_leaf_node]: forward function +(** [betree_main::betree::load_leaf_node]: Source: 'src/betree.rs', lines 46:0-46:44 *) let 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 *) let betree_store_leaf_node (id : u64) (content : betree_List_t (u64 & u64)) (st : state) : result (state & unit) = - let* (st0, _) = betree_utils_store_leaf_node id content st in - Return (st0, ()) - -(** [betree_main::betree::fresh_node_id]: forward function - Source: 'src/betree.rs', lines 55:0-55:48 *) -let betree_fresh_node_id (counter : u64) : result u64 = - let* _ = u64_add counter 1 in Return counter + let* (st1, _) = betree_utils_store_leaf_node id content st in + Return (st1, ()) -(** [betree_main::betree::fresh_node_id]: backward function 0 +(** [betree_main::betree::fresh_node_id]: Source: 'src/betree.rs', lines 55:0-55:48 *) -let betree_fresh_node_id_back (counter : u64) : result u64 = - u64_add counter 1 +let betree_fresh_node_id (counter : u64) : result (u64 & u64) = + let* counter1 = u64_add counter 1 in Return (counter, counter1) -(** [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 *) let betree_NodeIdCounter_new : result betree_NodeIdCounter_t = Return { next_node_id = 0 } -(** [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 *) let betree_NodeIdCounter_fresh_id - (self : betree_NodeIdCounter_t) : result u64 = - let* _ = u64_add self.next_node_id 1 in Return self.next_node_id + (self : betree_NodeIdCounter_t) : result (u64 & betree_NodeIdCounter_t) = + let* i = u64_add self.next_node_id 1 in + Return (self.next_node_id, { next_node_id = i }) -(** [betree_main::betree::{betree_main::betree::NodeIdCounter}::fresh_id]: backward function 0 - Source: 'src/betree.rs', lines 210:4-210:36 *) -let betree_NodeIdCounter_fresh_id_back - (self : betree_NodeIdCounter_t) : result betree_NodeIdCounter_t = - let* i = u64_add self.next_node_id 1 in Return { 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 *) let betree_upsert_update (prev : option u64) (st : betree_UpsertFunState_t) : result u64 = @@ -75,30 +65,30 @@ let betree_upsert_update | None -> begin match st with | Betree_UpsertFunState_Add v -> Return v - | Betree_UpsertFunState_Sub i -> Return 0 + | Betree_UpsertFunState_Sub _ -> Return 0 end - | Some prev0 -> + | Some prev1 -> begin match st with | Betree_UpsertFunState_Add v -> - let* margin = u64_sub core_u64_max prev0 in - if margin >= v then u64_add prev0 v else Return core_u64_max + let* margin = u64_sub core_u64_max prev1 in + if margin >= v then u64_add prev1 v else Return core_u64_max | Betree_UpsertFunState_Sub v -> - if prev0 >= v then u64_sub prev0 v else Return 0 + if prev1 >= v then u64_sub prev1 v else Return 0 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 *) let rec betree_List_len (t : Type0) (self : betree_List_t t) : Tot (result u64) (decreases (betree_List_len_decreases t self)) = begin match self with - | Betree_List_Cons x tl -> let* i = betree_List_len t tl in u64_add 1 i + | Betree_List_Cons _ tl -> let* i = betree_List_len t tl in u64_add 1 i | Betree_List_Nil -> Return 0 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 *) let rec betree_List_split_at (t : Type0) (self : betree_List_t t) (n : u64) : @@ -113,57 +103,45 @@ let rec betree_List_split_at let* i = u64_sub n 1 in let* p = betree_List_split_at t tl i in 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 -(** [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 *) let betree_List_push_front (t : Type0) (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) - -(** [betree_main::betree::{betree_main::betree::List<T>#1}::pop_front]: forward function - Source: 'src/betree.rs', lines 306:4-306:32 *) -let betree_List_pop_front (t : Type0) (self : betree_List_t t) : result t = - let ls = core_mem_replace (betree_List_t t) self Betree_List_Nil in - begin match ls with - | Betree_List_Cons x tl -> Return x - | Betree_List_Nil -> Fail Failure - end + 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]: backward function 0 +(** [betree_main::betree::{betree_main::betree::List<T>#1}::pop_front]: Source: 'src/betree.rs', lines 306:4-306:32 *) -let betree_List_pop_front_back - (t : Type0) (self : betree_List_t t) : result (betree_List_t t) = - let ls = core_mem_replace (betree_List_t t) self Betree_List_Nil in +let betree_List_pop_front + (t : Type0) (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 begin match ls with - | Betree_List_Cons x tl -> Return tl + | Betree_List_Cons x tl -> Return (x, 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 *) let betree_List_hd (t : Type0) (self : betree_List_t t) : result t = begin 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 *) let betree_ListTupleU64T_head_has_key (t : Type0) (self : betree_List_t (u64 & t)) (key : u64) : result bool = begin match self with - | Betree_List_Cons hd l -> let (i, _) = hd in Return (i = key) + | Betree_List_Cons hd _ -> let (i, _) = hd in Return (i = 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 *) let rec betree_ListTupleU64T_partition_at_pivot (t : Type0) (self : betree_List_t (u64 & t)) (pivot : u64) : @@ -178,124 +156,55 @@ let rec betree_ListTupleU64T_partition_at_pivot else let* p = betree_ListTupleU64T_partition_at_pivot t tl pivot in let (ls0, ls1) = p in - let l = ls0 in - Return (Betree_List_Cons (i, x) l, ls1) + Return (Betree_List_Cons (i, x) ls0, ls1) | Betree_List_Nil -> Return (Betree_List_Nil, Betree_List_Nil) 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 *) let betree_Leaf_split (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) - = - let* p = betree_List_split_at (u64 & u64) content params.split_size in - let (content0, content1) = p in - let* p0 = betree_List_hd (u64 & u64) content1 in - let (pivot, _) = p0 in - let* id0 = betree_NodeIdCounter_fresh_id node_id_cnt in - let* node_id_cnt0 = betree_NodeIdCounter_fresh_id_back node_id_cnt in - let* id1 = betree_NodeIdCounter_fresh_id node_id_cnt0 in - let* (st0, _) = betree_store_leaf_node id0 content0 st in - let* (st1, _) = betree_store_leaf_node id1 content1 st0 in - let n = Betree_Node_Leaf { id = id0; size = params.split_size } in - let n0 = Betree_Node_Leaf { id = id1; size = params.split_size } in - Return (st1, { id = self.id; pivot = pivot; left = n; right = n0 }) - -(** [betree_main::betree::{betree_main::betree::Leaf#3}::split]: backward function 0 - Source: 'src/betree.rs', lines 359:4-364:17 *) -let betree_Leaf_split_back0 - (self : betree_Leaf_t) (content : betree_List_t (u64 & u64)) - (params : betree_Params_t) (node_id_cnt : betree_NodeIdCounter_t) - (st : state) (st0 : state) : - result (state & unit) - = - let* p = betree_List_split_at (u64 & u64) content params.split_size in - let (content0, content1) = p in - let* _ = betree_List_hd (u64 & u64) content1 in - let* id0 = betree_NodeIdCounter_fresh_id node_id_cnt in - let* node_id_cnt0 = betree_NodeIdCounter_fresh_id_back node_id_cnt in - let* id1 = betree_NodeIdCounter_fresh_id node_id_cnt0 in - let* (st1, _) = betree_store_leaf_node id0 content0 st in - let* _ = betree_store_leaf_node id1 content1 st1 in - Return (st0, ()) - -(** [betree_main::betree::{betree_main::betree::Leaf#3}::split]: backward function 1 - Source: 'src/betree.rs', lines 359:4-364:17 *) -let betree_Leaf_split_back1 - (self : betree_Leaf_t) (content : betree_List_t (u64 & u64)) - (params : betree_Params_t) (node_id_cnt : betree_NodeIdCounter_t) - (st : state) (st0 : state) : - result (state & unit) - = - let* p = betree_List_split_at (u64 & u64) content params.split_size in - let (content0, content1) = p in - let* _ = betree_List_hd (u64 & u64) content1 in - let* id0 = betree_NodeIdCounter_fresh_id node_id_cnt in - let* node_id_cnt0 = betree_NodeIdCounter_fresh_id_back node_id_cnt in - let* id1 = betree_NodeIdCounter_fresh_id node_id_cnt0 in - let* (st1, _) = betree_store_leaf_node id0 content0 st in - let* _ = betree_store_leaf_node id1 content1 st1 in - Return (st0, ()) - -(** [betree_main::betree::{betree_main::betree::Leaf#3}::split]: backward function 2 - Source: 'src/betree.rs', lines 359:4-364:17 *) -let betree_Leaf_split_back2 - (self : betree_Leaf_t) (content : betree_List_t (u64 & u64)) - (params : betree_Params_t) (node_id_cnt : betree_NodeIdCounter_t) - (st : state) (st0 : state) : - result (state & betree_NodeIdCounter_t) + result (state & (betree_Internal_t & betree_NodeIdCounter_t)) = let* p = betree_List_split_at (u64 & u64) content params.split_size in let (content0, content1) = p in - let* _ = betree_List_hd (u64 & u64) content1 in - let* id0 = betree_NodeIdCounter_fresh_id node_id_cnt in - let* node_id_cnt0 = betree_NodeIdCounter_fresh_id_back node_id_cnt in - let* id1 = betree_NodeIdCounter_fresh_id node_id_cnt0 in + let* p1 = betree_List_hd (u64 & u64) content1 in + let (pivot, _) = p1 in + let* (id0, nic) = betree_NodeIdCounter_fresh_id node_id_cnt in + let* (id1, nic1) = betree_NodeIdCounter_fresh_id nic in let* (st1, _) = betree_store_leaf_node id0 content0 st in - let* _ = betree_store_leaf_node id1 content1 st1 in - let* node_id_cnt1 = betree_NodeIdCounter_fresh_id_back node_id_cnt0 in - Return (st0, node_id_cnt1) + let* (st2, _) = betree_store_leaf_node id1 content1 st1 in + let n = Betree_Node_Leaf { id = id0; size = params.split_size } in + let n1 = Betree_Node_Leaf { id = id1; size = params.split_size } in + Return (st2, ({ id = self.id; pivot = pivot; left = n; right = n1 }, nic1)) -(** [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 *) let rec betree_Node_lookup_first_message_for_key (key : u64) (msgs : betree_List_t (u64 & betree_Message_t)) : - Tot (result (betree_List_t (u64 & betree_Message_t))) + Tot (result ((betree_List_t (u64 & betree_Message_t)) & (betree_List_t (u64 & + betree_Message_t) -> result (betree_List_t (u64 & betree_Message_t))))) (decreases (betree_Node_lookup_first_message_for_key_decreases key msgs)) = begin match msgs with | Betree_List_Cons x next_msgs -> let (i, m) = x in if i >= key - then Return (Betree_List_Cons (i, m) next_msgs) - else betree_Node_lookup_first_message_for_key key next_msgs - | Betree_List_Nil -> Return Betree_List_Nil - 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 *) -let rec betree_Node_lookup_first_message_for_key_back - (key : u64) (msgs : betree_List_t (u64 & betree_Message_t)) - (ret : betree_List_t (u64 & betree_Message_t)) : - Tot (result (betree_List_t (u64 & betree_Message_t))) - (decreases (betree_Node_lookup_first_message_for_key_decreases key msgs)) - = - begin match msgs with - | Betree_List_Cons x next_msgs -> - let (i, m) = x in - if i >= key - then Return ret + then Return (Betree_List_Cons (i, m) next_msgs, Return) else - let* next_msgs0 = - betree_Node_lookup_first_message_for_key_back key next_msgs ret in - Return (Betree_List_Cons (i, m) next_msgs0) - | Betree_List_Nil -> Return ret + let* (l, lookup_first_message_for_key_back) = + betree_Node_lookup_first_message_for_key key next_msgs in + let back_'a = + fun ret -> + let* next_msgs1 = lookup_first_message_for_key_back ret in + Return (Betree_List_Cons (i, m) next_msgs1) in + Return (l, back_'a) + | Betree_List_Nil -> Return (Betree_List_Nil, Return) 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 *) let rec betree_Node_lookup_in_bindings (key : u64) (bindings : betree_List_t (u64 & u64)) : @@ -304,221 +213,110 @@ let rec betree_Node_lookup_in_bindings = begin match bindings with | Betree_List_Cons hd tl -> - let (i, i0) = hd in + let (i, i1) = hd in if i = key - then Return (Some i0) + then Return (Some i1) else if i > key then Return None else betree_Node_lookup_in_bindings key tl | Betree_List_Nil -> Return None 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 *) let rec betree_Node_apply_upserts (msgs : betree_List_t (u64 & betree_Message_t)) (prev : option u64) (key : u64) (st : state) : - Tot (result (state & u64)) + Tot (result (state & (u64 & (betree_List_t (u64 & betree_Message_t))))) (decreases (betree_Node_apply_upserts_decreases msgs prev key st)) = let* b = betree_ListTupleU64T_head_has_key betree_Message_t msgs key in if b then - let* msg = betree_List_pop_front (u64 & betree_Message_t) msgs in + let* (msg, l) = betree_List_pop_front (u64 & betree_Message_t) msgs in let (_, m) = msg in begin match m with - | Betree_Message_Insert i -> Fail Failure + | Betree_Message_Insert _ -> Fail Failure | Betree_Message_Delete -> Fail Failure | Betree_Message_Upsert s -> let* v = betree_upsert_update prev s in - let* msgs0 = betree_List_pop_front_back (u64 & betree_Message_t) msgs in - betree_Node_apply_upserts msgs0 (Some v) key st + betree_Node_apply_upserts l (Some v) key st end else - let* (st0, v) = core_option_Option_unwrap u64 prev st in - let* _ = + let* (st1, v) = core_option_Option_unwrap u64 prev st in + let* l = betree_List_push_front (u64 & betree_Message_t) msgs (key, Betree_Message_Insert v) in - Return (st0, v) + Return (st1, (v, l)) -(** [betree_main::betree::{betree_main::betree::Node#5}::apply_upserts]: backward function 0 - Source: 'src/betree.rs', lines 819:4-819:90 *) -let rec betree_Node_apply_upserts_back - (msgs : betree_List_t (u64 & betree_Message_t)) (prev : option u64) - (key : u64) (st : state) (st0 : state) : - Tot (result (state & (betree_List_t (u64 & betree_Message_t)))) - (decreases (betree_Node_apply_upserts_decreases msgs prev key st)) - = - let* b = betree_ListTupleU64T_head_has_key betree_Message_t msgs key in - if b - then - let* msg = betree_List_pop_front (u64 & betree_Message_t) msgs in - let (_, m) = msg in - begin match m with - | Betree_Message_Insert i -> Fail Failure - | Betree_Message_Delete -> Fail Failure - | Betree_Message_Upsert s -> - let* v = betree_upsert_update prev s in - let* msgs0 = betree_List_pop_front_back (u64 & betree_Message_t) msgs in - betree_Node_apply_upserts_back msgs0 (Some v) key st st0 - end - else - let* (_, v) = core_option_Option_unwrap u64 prev st in - let* msgs0 = - betree_List_push_front (u64 & betree_Message_t) msgs (key, - Betree_Message_Insert v) in - Return (st0, msgs0) - -(** [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 *) let rec betree_Internal_lookup_in_children (self : betree_Internal_t) (key : u64) (st : state) : - Tot (result (state & (option u64))) - (decreases (betree_Internal_lookup_in_children_decreases self key st)) - = - if key < self.pivot - then betree_Node_lookup self.left key st - else betree_Node_lookup self.right key st - -(** [betree_main::betree::{betree_main::betree::Internal#4}::lookup_in_children]: backward function 0 - Source: 'src/betree.rs', lines 395:4-395:63 *) -and betree_Internal_lookup_in_children_back - (self : betree_Internal_t) (key : u64) (st : state) (st0 : state) : - Tot (result (state & betree_Internal_t)) + Tot (result (state & ((option u64) & betree_Internal_t))) (decreases (betree_Internal_lookup_in_children_decreases self key st)) = if key < self.pivot then - let* (st1, n) = betree_Node_lookup_back self.left key st st0 in - Return (st1, { self with left = n }) + let* (st1, (o, n)) = betree_Node_lookup self.left key st in + Return (st1, (o, { self with left = n })) else - let* (st1, n) = betree_Node_lookup_back self.right key st st0 in - Return (st1, { self with right = n }) + let* (st1, (o, n)) = betree_Node_lookup self.right key st in + Return (st1, (o, { self with right = n })) -(** [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 *) and betree_Node_lookup (self : betree_Node_t) (key : u64) (st : state) : - Tot (result (state & (option u64))) - (decreases (betree_Node_lookup_decreases self key st)) - = - begin match self with - | Betree_Node_Internal node -> - let* (st0, msgs) = betree_load_internal_node node.id st in - let* pending = betree_Node_lookup_first_message_for_key key msgs in - begin match pending with - | Betree_List_Cons p l -> - let (k, msg) = p in - if k <> key - then - let* (st1, o) = betree_Internal_lookup_in_children node key st0 in - let* _ = - betree_Node_lookup_first_message_for_key_back key msgs - (Betree_List_Cons (k, msg) l) in - Return (st1, o) - else - begin match msg with - | Betree_Message_Insert v -> - let* _ = - betree_Node_lookup_first_message_for_key_back key msgs - (Betree_List_Cons (k, Betree_Message_Insert v) l) in - Return (st0, Some v) - | Betree_Message_Delete -> - let* _ = - betree_Node_lookup_first_message_for_key_back key msgs - (Betree_List_Cons (k, Betree_Message_Delete) l) in - Return (st0, None) - | Betree_Message_Upsert ufs -> - let* (st1, v) = betree_Internal_lookup_in_children node key st0 in - let* (st2, v0) = - betree_Node_apply_upserts (Betree_List_Cons (k, - Betree_Message_Upsert ufs) l) v key st1 in - let* (st3, node0) = - betree_Internal_lookup_in_children_back node key st0 st2 in - let* (st4, pending0) = - betree_Node_apply_upserts_back (Betree_List_Cons (k, - Betree_Message_Upsert ufs) l) v key st1 st3 in - let* msgs0 = - betree_Node_lookup_first_message_for_key_back key msgs pending0 in - let* (st5, _) = betree_store_internal_node node0.id msgs0 st4 in - Return (st5, Some v0) - end - | Betree_List_Nil -> - let* (st1, o) = betree_Internal_lookup_in_children node key st0 in - let* _ = - betree_Node_lookup_first_message_for_key_back key msgs Betree_List_Nil - in - Return (st1, o) - end - | Betree_Node_Leaf node -> - let* (st0, bindings) = betree_load_leaf_node node.id st in - let* o = betree_Node_lookup_in_bindings key bindings in - Return (st0, o) - end - -(** [betree_main::betree::{betree_main::betree::Node#5}::lookup]: backward function 0 - Source: 'src/betree.rs', lines 709:4-709:58 *) -and betree_Node_lookup_back - (self : betree_Node_t) (key : u64) (st : state) (st0 : state) : - Tot (result (state & betree_Node_t)) + Tot (result (state & ((option u64) & betree_Node_t))) (decreases (betree_Node_lookup_decreases self key st)) = begin match self with | Betree_Node_Internal node -> let* (st1, msgs) = betree_load_internal_node node.id st in - let* pending = betree_Node_lookup_first_message_for_key key msgs in + let* (pending, lookup_first_message_for_key_back) = + betree_Node_lookup_first_message_for_key key msgs in begin match pending with | Betree_List_Cons p l -> let (k, msg) = p in if k <> key then + let* (st2, (o, i)) = betree_Internal_lookup_in_children node key st1 in let* _ = - betree_Node_lookup_first_message_for_key_back key msgs - (Betree_List_Cons (k, msg) l) in - let* (st2, node0) = - betree_Internal_lookup_in_children_back node key st1 st0 in - Return (st2, Betree_Node_Internal node0) + lookup_first_message_for_key_back (Betree_List_Cons (k, msg) l) in + Return (st2, (o, Betree_Node_Internal i)) else begin match msg with | Betree_Message_Insert v -> let* _ = - betree_Node_lookup_first_message_for_key_back key msgs - (Betree_List_Cons (k, Betree_Message_Insert v) l) in - Return (st0, Betree_Node_Internal node) + lookup_first_message_for_key_back (Betree_List_Cons (k, + Betree_Message_Insert v) l) in + Return (st1, (Some v, Betree_Node_Internal node)) | Betree_Message_Delete -> let* _ = - betree_Node_lookup_first_message_for_key_back key msgs - (Betree_List_Cons (k, Betree_Message_Delete) l) in - Return (st0, Betree_Node_Internal node) + lookup_first_message_for_key_back (Betree_List_Cons (k, + Betree_Message_Delete) l) in + Return (st1, (None, Betree_Node_Internal node)) | Betree_Message_Upsert ufs -> - let* (st2, v) = betree_Internal_lookup_in_children node key st1 in - let* (st3, _) = + let* (st2, (v, i)) = betree_Internal_lookup_in_children node key st1 + in + let* (st3, (v1, l1)) = betree_Node_apply_upserts (Betree_List_Cons (k, Betree_Message_Upsert ufs) l) v key st2 in - let* (st4, node0) = - betree_Internal_lookup_in_children_back node key st1 st3 in - let* (st5, pending0) = - betree_Node_apply_upserts_back (Betree_List_Cons (k, - Betree_Message_Upsert ufs) l) v key st2 st4 in - let* msgs0 = - betree_Node_lookup_first_message_for_key_back key msgs pending0 in - let* _ = betree_store_internal_node node0.id msgs0 st5 in - Return (st0, Betree_Node_Internal node0) + let* msgs1 = lookup_first_message_for_key_back l1 in + let* (st4, _) = betree_store_internal_node i.id msgs1 st3 in + Return (st4, (Some v1, Betree_Node_Internal i)) end | Betree_List_Nil -> - let* _ = - betree_Node_lookup_first_message_for_key_back key msgs Betree_List_Nil - in - let* (st2, node0) = - betree_Internal_lookup_in_children_back node key st1 st0 in - Return (st2, Betree_Node_Internal node0) + let* (st2, (o, i)) = betree_Internal_lookup_in_children node key st1 in + let* _ = lookup_first_message_for_key_back Betree_List_Nil in + Return (st2, (o, Betree_Node_Internal i)) end | Betree_Node_Leaf node -> - let* (_, bindings) = betree_load_leaf_node node.id st in - let* _ = betree_Node_lookup_in_bindings key bindings in - Return (st0, Betree_Node_Leaf node) + let* (st1, bindings) = betree_load_leaf_node node.id st in + let* o = betree_Node_lookup_in_bindings key bindings in + Return (st1, (o, Betree_Node_Leaf node)) 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 *) let rec betree_Node_filter_messages_for_key (key : u64) (msgs : betree_List_t (u64 & betree_Message_t)) : @@ -530,36 +328,20 @@ let rec betree_Node_filter_messages_for_key let (k, m) = p in if k = key then - let* msgs0 = - betree_List_pop_front_back (u64 & betree_Message_t) (Betree_List_Cons - (k, m) l) in - betree_Node_filter_messages_for_key key msgs0 + let* (_, l1) = + betree_List_pop_front (u64 & betree_Message_t) (Betree_List_Cons (k, m) + l) in + betree_Node_filter_messages_for_key key l1 else Return (Betree_List_Cons (k, m) l) | Betree_List_Nil -> Return Betree_List_Nil 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 *) let rec betree_Node_lookup_first_message_after_key (key : u64) (msgs : betree_List_t (u64 & betree_Message_t)) : - Tot (result (betree_List_t (u64 & betree_Message_t))) - (decreases (betree_Node_lookup_first_message_after_key_decreases key msgs)) - = - begin match msgs with - | Betree_List_Cons p next_msgs -> - let (k, m) = p in - if k = key - then betree_Node_lookup_first_message_after_key key next_msgs - else Return (Betree_List_Cons (k, m) next_msgs) - | Betree_List_Nil -> Return Betree_List_Nil - 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 *) -let rec betree_Node_lookup_first_message_after_key_back - (key : u64) (msgs : betree_List_t (u64 & betree_Message_t)) - (ret : betree_List_t (u64 & betree_Message_t)) : - Tot (result (betree_List_t (u64 & betree_Message_t))) + Tot (result ((betree_List_t (u64 & betree_Message_t)) & (betree_List_t (u64 & + betree_Message_t) -> result (betree_List_t (u64 & betree_Message_t))))) (decreases (betree_Node_lookup_first_message_after_key_decreases key msgs)) = begin match msgs with @@ -567,75 +349,76 @@ let rec betree_Node_lookup_first_message_after_key_back let (k, m) = p in if k = key then - let* next_msgs0 = - betree_Node_lookup_first_message_after_key_back key next_msgs ret in - Return (Betree_List_Cons (k, m) next_msgs0) - else Return ret - | Betree_List_Nil -> Return ret + let* (l, lookup_first_message_after_key_back) = + betree_Node_lookup_first_message_after_key key next_msgs in + let back_'a = + fun ret -> + let* next_msgs1 = lookup_first_message_after_key_back ret in + 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 -(** [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 *) let betree_Node_apply_to_internal (msgs : betree_List_t (u64 & betree_Message_t)) (key : u64) (new_msg : betree_Message_t) : result (betree_List_t (u64 & betree_Message_t)) = - let* msgs0 = betree_Node_lookup_first_message_for_key key msgs in - let* b = betree_ListTupleU64T_head_has_key betree_Message_t msgs0 key in + let* (msgs1, lookup_first_message_for_key_back) = + betree_Node_lookup_first_message_for_key key msgs in + let* b = betree_ListTupleU64T_head_has_key betree_Message_t msgs1 key in if b then begin match new_msg with | Betree_Message_Insert i -> - let* msgs1 = betree_Node_filter_messages_for_key key msgs0 in - let* msgs2 = - betree_List_push_front (u64 & betree_Message_t) msgs1 (key, + let* l = betree_Node_filter_messages_for_key key msgs1 in + let* l1 = + betree_List_push_front (u64 & betree_Message_t) l (key, Betree_Message_Insert i) in - betree_Node_lookup_first_message_for_key_back key msgs msgs2 + lookup_first_message_for_key_back l1 | Betree_Message_Delete -> - let* msgs1 = betree_Node_filter_messages_for_key key msgs0 in - let* msgs2 = - betree_List_push_front (u64 & betree_Message_t) msgs1 (key, + let* l = betree_Node_filter_messages_for_key key msgs1 in + let* l1 = + betree_List_push_front (u64 & betree_Message_t) l (key, Betree_Message_Delete) in - betree_Node_lookup_first_message_for_key_back key msgs msgs2 + lookup_first_message_for_key_back l1 | Betree_Message_Upsert s -> - let* p = betree_List_hd (u64 & betree_Message_t) msgs0 in + let* p = betree_List_hd (u64 & betree_Message_t) msgs1 in let (_, m) = p in begin match m with | Betree_Message_Insert prev -> let* v = betree_upsert_update (Some prev) s in - let* msgs1 = betree_List_pop_front_back (u64 & betree_Message_t) msgs0 - in - let* msgs2 = - betree_List_push_front (u64 & betree_Message_t) msgs1 (key, + let* (_, l) = betree_List_pop_front (u64 & betree_Message_t) msgs1 in + let* l1 = + betree_List_push_front (u64 & betree_Message_t) l (key, Betree_Message_Insert v) in - betree_Node_lookup_first_message_for_key_back key msgs msgs2 + lookup_first_message_for_key_back l1 | Betree_Message_Delete -> + let* (_, l) = betree_List_pop_front (u64 & betree_Message_t) msgs1 in let* v = betree_upsert_update None s in - let* msgs1 = betree_List_pop_front_back (u64 & betree_Message_t) msgs0 - in - let* msgs2 = - betree_List_push_front (u64 & betree_Message_t) msgs1 (key, + let* l1 = + betree_List_push_front (u64 & betree_Message_t) l (key, Betree_Message_Insert v) in - betree_Node_lookup_first_message_for_key_back key msgs msgs2 - | Betree_Message_Upsert ufs -> - let* msgs1 = betree_Node_lookup_first_message_after_key key msgs0 in - let* msgs2 = - betree_List_push_front (u64 & betree_Message_t) msgs1 (key, + lookup_first_message_for_key_back l1 + | Betree_Message_Upsert _ -> + let* (msgs2, lookup_first_message_after_key_back) = + betree_Node_lookup_first_message_after_key key msgs1 in + let* l = + betree_List_push_front (u64 & betree_Message_t) msgs2 (key, Betree_Message_Upsert s) in - let* msgs3 = - betree_Node_lookup_first_message_after_key_back key msgs0 msgs2 in - betree_Node_lookup_first_message_for_key_back key msgs msgs3 + let* msgs3 = lookup_first_message_after_key_back l in + lookup_first_message_for_key_back msgs3 end end else - let* msgs1 = - betree_List_push_front (u64 & betree_Message_t) msgs0 (key, new_msg) in - betree_Node_lookup_first_message_for_key_back key msgs msgs1 + let* l = + betree_List_push_front (u64 & betree_Message_t) msgs1 (key, new_msg) in + 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 *) let rec betree_Node_apply_messages_to_internal (msgs : betree_List_t (u64 & betree_Message_t)) @@ -646,89 +429,72 @@ let rec betree_Node_apply_messages_to_internal begin match new_msgs with | Betree_List_Cons new_msg new_msgs_tl -> let (i, m) = new_msg in - let* msgs0 = betree_Node_apply_to_internal msgs i m in - betree_Node_apply_messages_to_internal msgs0 new_msgs_tl + let* l = betree_Node_apply_to_internal msgs i m in + betree_Node_apply_messages_to_internal l new_msgs_tl | Betree_List_Nil -> Return msgs 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 *) let rec betree_Node_lookup_mut_in_bindings (key : u64) (bindings : betree_List_t (u64 & u64)) : - Tot (result (betree_List_t (u64 & u64))) + Tot (result ((betree_List_t (u64 & u64)) & (betree_List_t (u64 & u64) -> + result (betree_List_t (u64 & u64))))) (decreases (betree_Node_lookup_mut_in_bindings_decreases key bindings)) = begin match bindings with | Betree_List_Cons hd tl -> - let (i, i0) = hd in + let (i, i1) = hd in if i >= key - then Return (Betree_List_Cons (i, i0) tl) - else betree_Node_lookup_mut_in_bindings key tl - | Betree_List_Nil -> Return Betree_List_Nil - 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 *) -let rec betree_Node_lookup_mut_in_bindings_back - (key : u64) (bindings : betree_List_t (u64 & u64)) - (ret : betree_List_t (u64 & u64)) : - Tot (result (betree_List_t (u64 & u64))) - (decreases (betree_Node_lookup_mut_in_bindings_decreases key bindings)) - = - begin match bindings with - | Betree_List_Cons hd tl -> - let (i, i0) = hd in - if i >= key - then Return ret + then Return (Betree_List_Cons (i, i1) tl, Return) else - let* tl0 = betree_Node_lookup_mut_in_bindings_back key tl ret in - Return (Betree_List_Cons (i, i0) tl0) - | Betree_List_Nil -> Return ret + let* (l, lookup_mut_in_bindings_back) = + betree_Node_lookup_mut_in_bindings key tl in + let back_'a = + fun ret -> + let* tl1 = lookup_mut_in_bindings_back ret in + Return (Betree_List_Cons (i, i1) tl1) in + Return (l, back_'a) + | Betree_List_Nil -> Return (Betree_List_Nil, Return) 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 *) let betree_Node_apply_to_leaf (bindings : betree_List_t (u64 & u64)) (key : u64) (new_msg : betree_Message_t) : result (betree_List_t (u64 & u64)) = - let* bindings0 = betree_Node_lookup_mut_in_bindings key bindings in - let* b = betree_ListTupleU64T_head_has_key u64 bindings0 key in + let* (bindings1, lookup_mut_in_bindings_back) = + betree_Node_lookup_mut_in_bindings key bindings in + let* b = betree_ListTupleU64T_head_has_key u64 bindings1 key in if b then - let* hd = betree_List_pop_front (u64 & u64) bindings0 in + let* (hd, l) = betree_List_pop_front (u64 & u64) bindings1 in begin match new_msg with | Betree_Message_Insert v -> - let* bindings1 = betree_List_pop_front_back (u64 & u64) bindings0 in - let* bindings2 = betree_List_push_front (u64 & u64) bindings1 (key, v) in - betree_Node_lookup_mut_in_bindings_back key bindings bindings2 - | Betree_Message_Delete -> - let* bindings1 = betree_List_pop_front_back (u64 & u64) bindings0 in - betree_Node_lookup_mut_in_bindings_back key bindings bindings1 + let* l1 = betree_List_push_front (u64 & u64) l (key, v) in + lookup_mut_in_bindings_back l1 + | Betree_Message_Delete -> lookup_mut_in_bindings_back l | Betree_Message_Upsert s -> let (_, i) = hd in let* v = betree_upsert_update (Some i) s in - let* bindings1 = betree_List_pop_front_back (u64 & u64) bindings0 in - let* bindings2 = betree_List_push_front (u64 & u64) bindings1 (key, v) in - betree_Node_lookup_mut_in_bindings_back key bindings bindings2 + let* l1 = betree_List_push_front (u64 & u64) l (key, v) in + lookup_mut_in_bindings_back l1 end else begin match new_msg with | Betree_Message_Insert v -> - let* bindings1 = betree_List_push_front (u64 & u64) bindings0 (key, v) in - betree_Node_lookup_mut_in_bindings_back key bindings bindings1 - | Betree_Message_Delete -> - betree_Node_lookup_mut_in_bindings_back key bindings bindings0 + let* l = betree_List_push_front (u64 & u64) bindings1 (key, v) in + lookup_mut_in_bindings_back l + | Betree_Message_Delete -> lookup_mut_in_bindings_back bindings1 | Betree_Message_Upsert s -> let* v = betree_upsert_update None s in - let* bindings1 = betree_List_push_front (u64 & u64) bindings0 (key, v) in - betree_Node_lookup_mut_in_bindings_back key bindings bindings1 + let* l = betree_List_push_front (u64 & u64) bindings1 (key, v) in + 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 *) let rec betree_Node_apply_messages_to_leaf (bindings : betree_List_t (u64 & u64)) @@ -739,18 +505,19 @@ let rec betree_Node_apply_messages_to_leaf begin match new_msgs with | Betree_List_Cons new_msg new_msgs_tl -> let (i, m) = new_msg in - let* bindings0 = betree_Node_apply_to_leaf bindings i m in - betree_Node_apply_messages_to_leaf bindings0 new_msgs_tl + let* l = betree_Node_apply_to_leaf bindings i m in + betree_Node_apply_messages_to_leaf l new_msgs_tl | Betree_List_Nil -> Return bindings 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 *) let rec betree_Internal_flush (self : betree_Internal_t) (params : betree_Params_t) (node_id_cnt : betree_NodeIdCounter_t) (content : betree_List_t (u64 & betree_Message_t)) (st : state) : - Tot (result (state & (betree_List_t (u64 & betree_Message_t)))) + Tot (result (state & ((betree_List_t (u64 & betree_Message_t)) & + (betree_Internal_t & betree_NodeIdCounter_t)))) (decreases ( betree_Internal_flush_decreases self params node_id_cnt content st)) = @@ -761,189 +528,31 @@ let rec betree_Internal_flush let* len_left = betree_List_len (u64 & betree_Message_t) msgs_left in if len_left >= params.min_flush_size then - let* (st0, _) = + let* (st1, p1) = betree_Node_apply_messages self.left params node_id_cnt msgs_left st in - let* (st1, (_, node_id_cnt0)) = - betree_Node_apply_messages_back'a self.left params node_id_cnt msgs_left - st st0 in - let* (st2, ()) = - betree_Node_apply_messages_back1 self.left params node_id_cnt msgs_left - st st1 in + let (n, node_id_cnt1) = p1 in let* len_right = betree_List_len (u64 & betree_Message_t) msgs_right in if len_right >= params.min_flush_size then - let* (st3, _) = - betree_Node_apply_messages self.right params node_id_cnt0 msgs_right - st2 in - let* (st4, (_, _)) = - betree_Node_apply_messages_back'a self.right params node_id_cnt0 - msgs_right st2 st3 in - let* (st5, ()) = - betree_Node_apply_messages_back1 self.right params node_id_cnt0 - msgs_right st2 st4 in - Return (st5, Betree_List_Nil) - else Return (st2, msgs_right) + let* (st2, p2) = + betree_Node_apply_messages self.right params node_id_cnt1 msgs_right + st1 in + let (n1, node_id_cnt2) = p2 in + Return (st2, (Betree_List_Nil, ({ self with left = n; right = n1 }, + node_id_cnt2))) + else Return (st1, (msgs_right, ({ self with left = n }, node_id_cnt1))) else - let* (st0, _) = + let* (st1, p1) = betree_Node_apply_messages self.right params node_id_cnt msgs_right st in - let* (st1, (_, _)) = - betree_Node_apply_messages_back'a self.right params node_id_cnt - msgs_right st st0 in - let* (st2, ()) = - betree_Node_apply_messages_back1 self.right params node_id_cnt msgs_right - st st1 in - Return (st2, msgs_left) + let (n, node_id_cnt1) = p1 in + Return (st1, (msgs_left, ({ self with right = n }, node_id_cnt1))) -(** [betree_main::betree::{betree_main::betree::Internal#4}::flush]: backward function 0 - Source: 'src/betree.rs', lines 410:4-415:26 *) -and betree_Internal_flush_back'a - (self : betree_Internal_t) (params : betree_Params_t) - (node_id_cnt : betree_NodeIdCounter_t) - (content : betree_List_t (u64 & betree_Message_t)) (st : state) (st0 : state) - : - Tot (result (state & (betree_Internal_t & betree_NodeIdCounter_t))) - (decreases ( - betree_Internal_flush_decreases self params node_id_cnt content st)) - = - let* p = - betree_ListTupleU64T_partition_at_pivot betree_Message_t content self.pivot - in - let (msgs_left, msgs_right) = p in - let* len_left = betree_List_len (u64 & betree_Message_t) msgs_left in - if len_left >= params.min_flush_size - then - let* (st1, _) = - betree_Node_apply_messages self.left params node_id_cnt msgs_left st in - let* (st2, (n, node_id_cnt0)) = - betree_Node_apply_messages_back'a self.left params node_id_cnt msgs_left - st st1 in - let* (st3, ()) = - betree_Node_apply_messages_back1 self.left params node_id_cnt msgs_left - st st2 in - let* len_right = betree_List_len (u64 & betree_Message_t) msgs_right in - if len_right >= params.min_flush_size - then - let* (st4, _) = - betree_Node_apply_messages self.right params node_id_cnt0 msgs_right - st3 in - let* (st5, (n0, node_id_cnt1)) = - betree_Node_apply_messages_back'a self.right params node_id_cnt0 - msgs_right st3 st4 in - let* _ = - betree_Node_apply_messages_back1 self.right params node_id_cnt0 - msgs_right st3 st5 in - Return (st0, ({ self with left = n; right = n0 }, node_id_cnt1)) - else Return (st0, ({ self with left = n }, node_id_cnt0)) - else - let* (st1, _) = - betree_Node_apply_messages self.right params node_id_cnt msgs_right st in - let* (st2, (n, node_id_cnt0)) = - betree_Node_apply_messages_back'a self.right params node_id_cnt - msgs_right st st1 in - let* _ = - betree_Node_apply_messages_back1 self.right params node_id_cnt msgs_right - st st2 in - Return (st0, ({ self with right = n }, node_id_cnt0)) - -(** [betree_main::betree::{betree_main::betree::Internal#4}::flush]: backward function 1 - Source: 'src/betree.rs', lines 410:4-415:26 *) -and betree_Internal_flush_back1 - (self : betree_Internal_t) (params : betree_Params_t) - (node_id_cnt : betree_NodeIdCounter_t) - (content : betree_List_t (u64 & betree_Message_t)) (st : state) (st0 : state) - : - Tot (result (state & unit)) - (decreases ( - betree_Internal_flush_decreases self params node_id_cnt content st)) - = - let* p = - betree_ListTupleU64T_partition_at_pivot betree_Message_t content self.pivot - in - let (msgs_left, msgs_right) = p in - let* len_left = betree_List_len (u64 & betree_Message_t) msgs_left in - if len_left >= params.min_flush_size - then - let* (st1, _) = - betree_Node_apply_messages self.left params node_id_cnt msgs_left st in - let* (st2, (_, node_id_cnt0)) = - betree_Node_apply_messages_back'a self.left params node_id_cnt msgs_left - st st1 in - let* (st3, ()) = - betree_Node_apply_messages_back1 self.left params node_id_cnt msgs_left - st st2 in - let* len_right = betree_List_len (u64 & betree_Message_t) msgs_right in - if len_right >= params.min_flush_size - then - let* (st4, _) = - betree_Node_apply_messages self.right params node_id_cnt0 msgs_right - st3 in - let* (st5, (_, _)) = - betree_Node_apply_messages_back'a self.right params node_id_cnt0 - msgs_right st3 st4 in - let* _ = - betree_Node_apply_messages_back1 self.right params node_id_cnt0 - msgs_right st3 st5 in - Return (st0, ()) - else Return (st0, ()) - else - let* (st1, _) = - betree_Node_apply_messages self.right params node_id_cnt msgs_right st in - let* (st2, (_, _)) = - betree_Node_apply_messages_back'a self.right params node_id_cnt - msgs_right st st1 in - let* _ = - betree_Node_apply_messages_back1 self.right params node_id_cnt msgs_right - st st2 in - Return (st0, ()) - -(** [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 *) and betree_Node_apply_messages (self : betree_Node_t) (params : betree_Params_t) (node_id_cnt : betree_NodeIdCounter_t) (msgs : betree_List_t (u64 & betree_Message_t)) (st : state) : - Tot (result (state & unit)) - (decreases ( - betree_Node_apply_messages_decreases self params node_id_cnt msgs st)) - = - begin match self with - | Betree_Node_Internal node -> - let* (st0, content) = betree_load_internal_node node.id st in - let* content0 = betree_Node_apply_messages_to_internal content msgs in - let* num_msgs = betree_List_len (u64 & betree_Message_t) content0 in - if num_msgs >= params.min_flush_size - then - let* (st1, content1) = - betree_Internal_flush node params node_id_cnt content0 st0 in - let* (st2, (node0, _)) = - betree_Internal_flush_back'a node params node_id_cnt content0 st0 st1 - in - let* (st3, _) = betree_store_internal_node node0.id content1 st2 in - Return (st3, ()) - else - let* (st1, _) = betree_store_internal_node node.id content0 st0 in - Return (st1, ()) - | Betree_Node_Leaf node -> - let* (st0, content) = betree_load_leaf_node node.id st in - let* content0 = betree_Node_apply_messages_to_leaf content msgs in - let* len = betree_List_len (u64 & u64) content0 in - let* i = u64_mul 2 params.split_size in - if len >= i - then - let* (st1, _) = betree_Leaf_split node content0 params node_id_cnt st0 in - let* (st2, _) = betree_store_leaf_node node.id Betree_List_Nil st1 in - betree_Leaf_split_back0 node content0 params node_id_cnt st0 st2 - else - let* (st1, _) = betree_store_leaf_node node.id content0 st0 in - Return (st1, ()) - end - -(** [betree_main::betree::{betree_main::betree::Node#5}::apply_messages]: backward function 0 - Source: 'src/betree.rs', lines 588:4-593:5 *) -and betree_Node_apply_messages_back'a - (self : betree_Node_t) (params : betree_Params_t) - (node_id_cnt : betree_NodeIdCounter_t) - (msgs : betree_List_t (u64 & betree_Message_t)) (st : state) (st0 : state) : Tot (result (state & (betree_Node_t & betree_NodeIdCounter_t))) (decreases ( betree_Node_apply_messages_decreases self params node_id_cnt msgs st)) @@ -951,277 +560,110 @@ and betree_Node_apply_messages_back'a begin match self with | Betree_Node_Internal node -> let* (st1, content) = betree_load_internal_node node.id st in - let* content0 = betree_Node_apply_messages_to_internal content msgs in - let* num_msgs = betree_List_len (u64 & betree_Message_t) content0 in - if num_msgs >= params.min_flush_size - then - let* (st2, content1) = - betree_Internal_flush node params node_id_cnt content0 st1 in - let* (st3, (node0, node_id_cnt0)) = - betree_Internal_flush_back'a node params node_id_cnt content0 st1 st2 - in - let* _ = betree_store_internal_node node0.id content1 st3 in - Return (st0, (Betree_Node_Internal node0, node_id_cnt0)) - else - let* _ = betree_store_internal_node node.id content0 st1 in - Return (st0, (Betree_Node_Internal node, node_id_cnt)) - | Betree_Node_Leaf node -> - let* (st1, content) = betree_load_leaf_node node.id st in - let* content0 = betree_Node_apply_messages_to_leaf content msgs in - let* len = betree_List_len (u64 & u64) content0 in - let* i = u64_mul 2 params.split_size in - if len >= i - then - let* (st2, new_node) = - betree_Leaf_split node content0 params node_id_cnt st1 in - let* (st3, _) = betree_store_leaf_node node.id Betree_List_Nil st2 in - let* _ = betree_Leaf_split_back0 node content0 params node_id_cnt st1 st3 - in - let* (st4, node_id_cnt0) = - betree_Leaf_split_back2 node content0 params node_id_cnt st1 st0 in - Return (st4, (Betree_Node_Internal new_node, node_id_cnt0)) - else - let* _ = betree_store_leaf_node node.id content0 st1 in - Return (st0, (Betree_Node_Leaf { node with size = len }, node_id_cnt)) - end - -(** [betree_main::betree::{betree_main::betree::Node#5}::apply_messages]: backward function 1 - Source: 'src/betree.rs', lines 588:4-593:5 *) -and betree_Node_apply_messages_back1 - (self : betree_Node_t) (params : betree_Params_t) - (node_id_cnt : betree_NodeIdCounter_t) - (msgs : betree_List_t (u64 & betree_Message_t)) (st : state) (st0 : state) : - Tot (result (state & unit)) - (decreases ( - betree_Node_apply_messages_decreases self params node_id_cnt msgs st)) - = - begin match self with - | Betree_Node_Internal node -> - let* (st1, content) = betree_load_internal_node node.id st in - let* content0 = betree_Node_apply_messages_to_internal content msgs in - let* num_msgs = betree_List_len (u64 & betree_Message_t) content0 in + let* l = betree_Node_apply_messages_to_internal content msgs in + let* num_msgs = betree_List_len (u64 & betree_Message_t) l in if num_msgs >= params.min_flush_size then - let* (st2, content1) = - betree_Internal_flush node params node_id_cnt content0 st1 in - let* (st3, (node0, _)) = - betree_Internal_flush_back'a node params node_id_cnt content0 st1 st2 - in - let* _ = betree_store_internal_node node0.id content1 st3 in - betree_Internal_flush_back1 node params node_id_cnt content0 st1 st0 + let* (st2, (content1, p)) = + betree_Internal_flush node params node_id_cnt l st1 in + let (node1, node_id_cnt1) = p in + let* (st3, _) = betree_store_internal_node node1.id content1 st2 in + Return (st3, (Betree_Node_Internal node1, node_id_cnt1)) else - let* _ = betree_store_internal_node node.id content0 st1 in - Return (st0, ()) + let* (st2, _) = betree_store_internal_node node.id l st1 in + Return (st2, (Betree_Node_Internal node, node_id_cnt)) | Betree_Node_Leaf node -> let* (st1, content) = betree_load_leaf_node node.id st in - let* content0 = betree_Node_apply_messages_to_leaf content msgs in - let* len = betree_List_len (u64 & u64) content0 in + let* l = betree_Node_apply_messages_to_leaf content msgs in + let* len = betree_List_len (u64 & u64) l in let* i = u64_mul 2 params.split_size in if len >= i then - let* (st2, _) = betree_Leaf_split node content0 params node_id_cnt st1 in + let* (st2, (new_node, nic)) = + betree_Leaf_split node l params node_id_cnt st1 in let* (st3, _) = betree_store_leaf_node node.id Betree_List_Nil st2 in - let* _ = betree_Leaf_split_back0 node content0 params node_id_cnt st1 st3 - in - betree_Leaf_split_back1 node content0 params node_id_cnt st1 st0 + Return (st3, (Betree_Node_Internal new_node, nic)) else - let* _ = betree_store_leaf_node node.id content0 st1 in Return (st0, ()) + let* (st2, _) = betree_store_leaf_node node.id l st1 in + Return (st2, (Betree_Node_Leaf { node with size = len }, node_id_cnt)) 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 *) let betree_Node_apply (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) - = - let l = Betree_List_Nil in - let* (st0, _) = - betree_Node_apply_messages self params node_id_cnt (Betree_List_Cons (key, - new_msg) l) st in - let* (st1, (_, _)) = - betree_Node_apply_messages_back'a self params node_id_cnt (Betree_List_Cons - (key, new_msg) l) st st0 in - betree_Node_apply_messages_back1 self params node_id_cnt (Betree_List_Cons - (key, new_msg) l) st st1 - -(** [betree_main::betree::{betree_main::betree::Node#5}::apply]: backward function 0 - Source: 'src/betree.rs', lines 576:4-582:5 *) -let betree_Node_apply_back'a - (self : betree_Node_t) (params : betree_Params_t) - (node_id_cnt : betree_NodeIdCounter_t) (key : u64) - (new_msg : betree_Message_t) (st : state) (st0 : state) : result (state & (betree_Node_t & betree_NodeIdCounter_t)) = - let l = Betree_List_Nil in - let* (st1, _) = + let* (st1, p) = betree_Node_apply_messages self params node_id_cnt (Betree_List_Cons (key, - new_msg) l) st in - let* (st2, (self0, node_id_cnt0)) = - betree_Node_apply_messages_back'a self params node_id_cnt (Betree_List_Cons - (key, new_msg) l) st st1 in - let* _ = - betree_Node_apply_messages_back1 self params node_id_cnt (Betree_List_Cons - (key, new_msg) l) st st2 in - Return (st0, (self0, node_id_cnt0)) + new_msg) Betree_List_Nil) st in + let (self1, node_id_cnt1) = p in + Return (st1, (self1, node_id_cnt1)) -(** [betree_main::betree::{betree_main::betree::Node#5}::apply]: backward function 1 - Source: 'src/betree.rs', lines 576:4-582:5 *) -let betree_Node_apply_back1 - (self : betree_Node_t) (params : betree_Params_t) - (node_id_cnt : betree_NodeIdCounter_t) (key : u64) - (new_msg : betree_Message_t) (st : state) (st0 : state) : - result (state & unit) - = - let l = Betree_List_Nil in - let* (st1, _) = - betree_Node_apply_messages self params node_id_cnt (Betree_List_Cons (key, - new_msg) l) st in - let* (st2, (_, _)) = - betree_Node_apply_messages_back'a self params node_id_cnt (Betree_List_Cons - (key, new_msg) l) st st1 in - let* _ = - betree_Node_apply_messages_back1 self params node_id_cnt (Betree_List_Cons - (key, new_msg) l) st st2 in - Return (st0, ()) - -(** [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 *) let betree_BeTree_new (min_flush_size : u64) (split_size : u64) (st : state) : result (state & betree_BeTree_t) = let* node_id_cnt = betree_NodeIdCounter_new in - let* id = betree_NodeIdCounter_fresh_id node_id_cnt in - let* (st0, _) = betree_store_leaf_node id Betree_List_Nil st in - let* node_id_cnt0 = betree_NodeIdCounter_fresh_id_back node_id_cnt in - Return (st0, + let* (id, nic) = betree_NodeIdCounter_fresh_id node_id_cnt in + let* (st1, _) = betree_store_leaf_node id Betree_List_Nil st in + Return (st1, { params = { min_flush_size = min_flush_size; split_size = split_size }; - node_id_cnt = node_id_cnt0; + node_id_cnt = nic; root = (Betree_Node_Leaf { id = id; size = 0 }) }) -(** [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 *) let betree_BeTree_apply (self : betree_BeTree_t) (key : u64) (msg : betree_Message_t) (st : state) : - result (state & unit) - = - let* (st0, _) = - betree_Node_apply self.root self.params self.node_id_cnt key msg st in - let* (st1, (_, _)) = - betree_Node_apply_back'a self.root self.params self.node_id_cnt key msg st - st0 in - betree_Node_apply_back1 self.root self.params self.node_id_cnt key msg st st1 - -(** [betree_main::betree::{betree_main::betree::BeTree#6}::apply]: backward function 0 - Source: 'src/betree.rs', lines 868:4-868:47 *) -let betree_BeTree_apply_back - (self : betree_BeTree_t) (key : u64) (msg : betree_Message_t) (st : state) - (st0 : state) : result (state & betree_BeTree_t) = - let* (st1, _) = + let* (st1, p) = betree_Node_apply self.root self.params self.node_id_cnt key msg st in - let* (st2, (n, nic)) = - betree_Node_apply_back'a self.root self.params self.node_id_cnt key msg st - st1 in - let* _ = - betree_Node_apply_back1 self.root self.params self.node_id_cnt key msg st - st2 in - Return (st0, { self with node_id_cnt = nic; root = n }) + let (n, nic) = p in + Return (st1, { self with node_id_cnt = nic; root = n }) -(** [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 *) let betree_BeTree_insert (self : betree_BeTree_t) (key : u64) (value : u64) (st : state) : - result (state & unit) - = - let* (st0, _) = betree_BeTree_apply self key (Betree_Message_Insert value) st - in - let* (st1, _) = - betree_BeTree_apply_back self key (Betree_Message_Insert value) st st0 in - Return (st1, ()) - -(** [betree_main::betree::{betree_main::betree::BeTree#6}::insert]: backward function 0 - Source: 'src/betree.rs', lines 874:4-874:52 *) -let betree_BeTree_insert_back - (self : betree_BeTree_t) (key : u64) (value : u64) (st : state) (st0 : state) - : result (state & betree_BeTree_t) = - let* (st1, _) = betree_BeTree_apply self key (Betree_Message_Insert value) st - in - let* (_, self0) = - betree_BeTree_apply_back self key (Betree_Message_Insert value) st st1 in - Return (st0, self0) + betree_BeTree_apply 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 *) let betree_BeTree_delete - (self : betree_BeTree_t) (key : u64) (st : state) : result (state & unit) = - let* (st0, _) = betree_BeTree_apply self key Betree_Message_Delete st in - let* (st1, _) = - betree_BeTree_apply_back self key Betree_Message_Delete st st0 in - Return (st1, ()) - -(** [betree_main::betree::{betree_main::betree::BeTree#6}::delete]: backward function 0 - Source: 'src/betree.rs', lines 880:4-880:38 *) -let betree_BeTree_delete_back - (self : betree_BeTree_t) (key : u64) (st : state) (st0 : state) : + (self : betree_BeTree_t) (key : u64) (st : state) : result (state & betree_BeTree_t) = - let* (st1, _) = betree_BeTree_apply self key Betree_Message_Delete st in - let* (_, self0) = - betree_BeTree_apply_back self key Betree_Message_Delete st st1 in - Return (st0, self0) + betree_BeTree_apply 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 *) let betree_BeTree_upsert (self : betree_BeTree_t) (key : u64) (upd : betree_UpsertFunState_t) (st : state) : - result (state & unit) - = - let* (st0, _) = betree_BeTree_apply self key (Betree_Message_Upsert upd) st - in - let* (st1, _) = - betree_BeTree_apply_back self key (Betree_Message_Upsert upd) st st0 in - Return (st1, ()) - -(** [betree_main::betree::{betree_main::betree::BeTree#6}::upsert]: backward function 0 - Source: 'src/betree.rs', lines 886:4-886:59 *) -let betree_BeTree_upsert_back - (self : betree_BeTree_t) (key : u64) (upd : betree_UpsertFunState_t) - (st : state) (st0 : state) : result (state & betree_BeTree_t) = - let* (st1, _) = betree_BeTree_apply self key (Betree_Message_Upsert upd) st - in - let* (_, self0) = - betree_BeTree_apply_back self key (Betree_Message_Upsert upd) st st1 in - Return (st0, self0) + betree_BeTree_apply 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 *) let betree_BeTree_lookup (self : betree_BeTree_t) (key : u64) (st : state) : - result (state & (option u64)) - = - betree_Node_lookup self.root key st - -(** [betree_main::betree::{betree_main::betree::BeTree#6}::lookup]: backward function 0 - Source: 'src/betree.rs', lines 895:4-895:62 *) -let betree_BeTree_lookup_back - (self : betree_BeTree_t) (key : u64) (st : state) (st0 : state) : - result (state & betree_BeTree_t) + result (state & ((option u64) & betree_BeTree_t)) = - let* (st1, n) = betree_Node_lookup_back self.root key st st0 in - Return (st1, { self with root = n }) + let* (st1, (o, n)) = betree_Node_lookup self.root key st in + Return (st1, (o, { self with root = n })) -(** [betree_main::main]: forward function +(** [betree_main::main]: Source: 'src/betree_main.rs', lines 5:0-5:9 *) let main : result unit = Return () diff --git a/tests/fstar/betree_back_stateful/BetreeMain.FunsExternal.fsti b/tests/fstar/betree_back_stateful/BetreeMain.FunsExternal.fsti index cd2f956f..de9b96fd 100644 --- a/tests/fstar/betree_back_stateful/BetreeMain.FunsExternal.fsti +++ b/tests/fstar/betree_back_stateful/BetreeMain.FunsExternal.fsti @@ -6,29 +6,29 @@ include BetreeMain.Types #set-options "--z3rlimit 50 --fuel 1 --ifuel 1" -(** [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 *) val 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 *) val betree_utils_store_internal_node : u64 -> betree_List_t (u64 & betree_Message_t) -> state -> result (state & 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 *) val 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 *) val 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 *) val core_option_Option_unwrap (t : Type0) : option t -> state -> result (state & t) diff --git a/tests/fstar/betree_back_stateful/Primitives.fst b/tests/fstar/betree_back_stateful/Primitives.fst index a3ffbde4..fca80829 100644 --- a/tests/fstar/betree_back_stateful/Primitives.fst +++ b/tests/fstar/betree_back_stateful/Primitives.fst @@ -55,8 +55,7 @@ type string = string let is_zero (n: nat) : bool = n = 0 let decrease (n: nat{n > 0}) : nat = n - 1 -let core_mem_replace (a : Type0) (x : a) (y : a) : a = x -let core_mem_replace_back (a : Type0) (x : a) (y : a) : a = y +let core_mem_replace (a : Type0) (x : a) (y : a) : a & a = (x, x) // We don't really use raw pointers for now type mut_raw_ptr (t : Type0) = { v : t } @@ -477,8 +476,7 @@ noeq type core_ops_index_Index (self idx : Type0) = { // Trait declaration: [core::ops::index::IndexMut] noeq type core_ops_index_IndexMut (self idx : Type0) = { indexInst : core_ops_index_Index self idx; - index_mut : self → idx → result indexInst.output; - index_mut_back : self → idx → indexInst.output → result self; + index_mut : self → idx → result (indexInst.output & (indexInst.output → result self)); } // Trait declaration [core::ops::deref::Deref] @@ -490,8 +488,7 @@ noeq type core_ops_deref_Deref (self : Type0) = { // Trait declaration [core::ops::deref::DerefMut] noeq type core_ops_deref_DerefMut (self : Type0) = { derefInst : core_ops_deref_Deref self; - deref_mut : self → result derefInst.target; - deref_mut_back : self → derefInst.target → result self; + deref_mut : self → result (derefInst.target & (derefInst.target → result self)); } type core_ops_range_Range (a : Type0) = { @@ -502,8 +499,8 @@ type core_ops_range_Range (a : Type0) = { (*** [alloc] *) let alloc_boxed_Box_deref (t : Type0) (x : t) : result t = Return x -let alloc_boxed_Box_deref_mut (t : Type0) (x : t) : result t = Return x -let alloc_boxed_Box_deref_mut_back (t : Type) (_ : t) (x : t) : result t = Return x +let alloc_boxed_Box_deref_mut (t : Type0) (x : t) : result (t & (t -> result t)) = + Return (x, (fun x -> Return x)) // Trait instance let alloc_boxed_Box_coreopsDerefInst (self : Type0) : core_ops_deref_Deref self = { @@ -515,7 +512,6 @@ let alloc_boxed_Box_coreopsDerefInst (self : Type0) : core_ops_deref_Deref self let alloc_boxed_Box_coreopsDerefMutInst (self : Type0) : core_ops_deref_DerefMut self = { derefInst = alloc_boxed_Box_coreopsDerefInst self; deref_mut = alloc_boxed_Box_deref_mut self; - deref_mut_back = alloc_boxed_Box_deref_mut_back self; } (*** Array *) @@ -535,10 +531,18 @@ let array_index_usize (a : Type0) (n : usize) (x : array a n) (i : usize) : resu if i < length x then Return (index x i) else Fail Failure -let array_update_usize (a : Type0) (n : usize) (x : array a n) (i : usize) (nx : a) : result (array a n) = +let array_update_usize (a : Type0) (n : usize) (x : array a n) (i : usize) (nx : a) : + result (array a n) = if i < length x then Return (list_update x i nx) else Fail Failure +let array_index_mut_usize (a : Type0) (n : usize) (x : array a n) (i : usize) : + result (a & (a -> result (array a n))) = + match array_index_usize a n x i with + | Fail e -> Fail e + | Return v -> + Return (v, array_update_usize a n x i) + (*** Slice *) type slice (a : Type0) = s:list a{length s <= usize_max} @@ -552,6 +556,13 @@ let slice_update_usize (a : Type0) (x : slice a) (i : usize) (nx : a) : result ( if i < length x then Return (list_update x i nx) else Fail Failure +let slice_index_mut_usize (a : Type0) (s : slice a) (i : usize) : + result (a & (a -> result (slice a))) = + match slice_index_usize a s i with + | Fail e -> Fail e + | Return x -> + Return (x, slice_update_usize a s i) + (*** Subslices *) let array_to_slice (a : Type0) (n : usize) (x : array a n) : result (slice a) = Return x @@ -559,6 +570,10 @@ let array_from_slice (a : Type0) (n : usize) (x : array a n) (s : slice a) : res if length s = n then Return s else Fail Failure +let array_to_slice_mut (a : Type0) (n : usize) (x : array a n) : + result (slice a & (slice a -> result (array a n))) = + Return (x, array_from_slice a n x) + // TODO: finish the definitions below (there lacks [List.drop] and [List.take] in the standard library *) let array_subslice (a : Type0) (n : usize) (x : array a n) (r : core_ops_range_Range usize) : result (slice a) = admit() @@ -588,8 +603,13 @@ let alloc_vec_Vec_index_usize (#a : Type0) (v : alloc_vec_Vec a) (i : usize) : r let alloc_vec_Vec_update_usize (#a : Type0) (v : alloc_vec_Vec a) (i : usize) (x : a) : result (alloc_vec_Vec a) = if i < length v then Return (list_update v i x) else Fail Failure -// The **forward** function shouldn't be used -let alloc_vec_Vec_push_fwd (a : Type0) (v : alloc_vec_Vec a) (x : a) : unit = () +let alloc_vec_Vec_index_mut_usize (#a : Type0) (v: alloc_vec_Vec a) (i: usize) : + result (a & (a → result (alloc_vec_Vec a))) = + match alloc_vec_Vec_index_usize v i with + | Return x -> + Return (x, alloc_vec_Vec_update_usize v i) + | Fail e -> Fail e + let alloc_vec_Vec_push (a : Type0) (v : alloc_vec_Vec a) (x : a) : Pure (result (alloc_vec_Vec a)) (requires True) @@ -605,9 +625,6 @@ let alloc_vec_Vec_push (a : Type0) (v : alloc_vec_Vec a) (x : a) : end else Fail Failure -// The **forward** function shouldn't be used -let alloc_vec_Vec_insert_fwd (a : Type0) (v : alloc_vec_Vec a) (i : usize) (x : a) : result unit = - if i < length v then Return () else Fail Failure let alloc_vec_Vec_insert (a : Type0) (v : alloc_vec_Vec a) (i : usize) (x : a) : result (alloc_vec_Vec a) = if i < length v then Return (list_update v i x) else Fail Failure @@ -619,13 +636,11 @@ noeq type core_slice_index_SliceIndex (self t : Type0) = { sealedInst : core_slice_index_private_slice_index_Sealed self; output : Type0; get : self → t → result (option output); - get_mut : self → t → result (option output); - get_mut_back : self → t → option output → result t; + get_mut : self → t → result (option output & (option output -> result t)); get_unchecked : self → const_raw_ptr t → result (const_raw_ptr output); get_unchecked_mut : self → mut_raw_ptr t → result (mut_raw_ptr output); index : self → t → result output; - index_mut : self → t → result output; - index_mut_back : self → t → output → result t; + index_mut : self → t → result (output & (output -> result t)); } // [core::slice::index::[T]::index]: forward function @@ -643,14 +658,8 @@ let core_slice_index_RangeUsize_get (t : Type0) (i : core_ops_range_Range usize) admit () // TODO // [core::slice::index::Range::get_mut]: forward function -let core_slice_index_RangeUsize_get_mut - (t : Type0) : core_ops_range_Range usize → slice t → result (option (slice t)) = - admit () // TODO - -// [core::slice::index::Range::get_mut]: backward function 0 -let core_slice_index_RangeUsize_get_mut_back - (t : Type0) : - core_ops_range_Range usize → slice t → option (slice t) → result (slice t) = +let core_slice_index_RangeUsize_get_mut (t : Type0) : + core_ops_range_Range usize → slice t → result (option (slice t) & (option (slice t) -> result (slice t))) = admit () // TODO // [core::slice::index::Range::get_unchecked]: forward function @@ -675,27 +684,16 @@ let core_slice_index_RangeUsize_index admit () // TODO // [core::slice::index::Range::index_mut]: forward function -let core_slice_index_RangeUsize_index_mut - (t : Type0) : core_ops_range_Range usize → slice t → result (slice t) = - admit () // TODO - -// [core::slice::index::Range::index_mut]: backward function 0 -let core_slice_index_RangeUsize_index_mut_back - (t : Type0) : core_ops_range_Range usize → slice t → slice t → result (slice t) = +let core_slice_index_RangeUsize_index_mut (t : Type0) : + core_ops_range_Range usize → slice t → result (slice t & (slice t -> result (slice t))) = admit () // TODO // [core::slice::index::[T]::index_mut]: forward function let core_slice_index_Slice_index_mut (t idx : Type0) (inst : core_slice_index_SliceIndex idx (slice t)) : - slice t → idx → result inst.output = + slice t → idx → result (inst.output & (inst.output -> result (slice t))) = admit () // -// [core::slice::index::[T]::index_mut]: backward function 0 -let core_slice_index_Slice_index_mut_back - (t idx : Type0) (inst : core_slice_index_SliceIndex idx (slice t)) : - slice t → idx → inst.output → result (slice t) = - admit () // TODO - // [core::array::[T; N]::index]: forward function let core_array_Array_index (t idx : Type0) (n : usize) (inst : core_ops_index_Index (slice t) idx) @@ -705,13 +703,8 @@ let core_array_Array_index // [core::array::[T; N]::index_mut]: forward function let core_array_Array_index_mut (t idx : Type0) (n : usize) (inst : core_ops_index_IndexMut (slice t) idx) - (a : array t n) (i : idx) : result inst.indexInst.output = - admit () // TODO - -// [core::array::[T; N]::index_mut]: backward function 0 -let core_array_Array_index_mut_back - (t idx : Type0) (n : usize) (inst : core_ops_index_IndexMut (slice t) idx) - (a : array t n) (i : idx) (x : inst.indexInst.output) : result (array t n) = + (a : array t n) (i : idx) : + result (inst.indexInst.output & (inst.indexInst.output -> result (array t n))) = admit () // TODO // Trait implementation: [core::slice::index::private_slice_index::Range] @@ -725,12 +718,10 @@ let core_slice_index_SliceIndexRangeUsizeSliceTInst (t : Type0) : output = slice t; get = core_slice_index_RangeUsize_get t; get_mut = core_slice_index_RangeUsize_get_mut t; - get_mut_back = core_slice_index_RangeUsize_get_mut_back t; get_unchecked = core_slice_index_RangeUsize_get_unchecked t; get_unchecked_mut = core_slice_index_RangeUsize_get_unchecked_mut t; index = core_slice_index_RangeUsize_index t; index_mut = core_slice_index_RangeUsize_index_mut t; - index_mut_back = core_slice_index_RangeUsize_index_mut_back t; } // Trait implementation: [core::slice::index::[T]] @@ -747,7 +738,6 @@ let core_ops_index_IndexMutSliceTIInst (t idx : Type0) core_ops_index_IndexMut (slice t) idx = { indexInst = core_ops_index_IndexSliceTIInst t idx inst; index_mut = core_slice_index_Slice_index_mut t idx inst; - index_mut_back = core_slice_index_Slice_index_mut_back t idx inst; } // Trait implementation: [core::array::[T; N]] @@ -764,7 +754,6 @@ let core_ops_index_IndexMutArrayIInst (t idx : Type0) (n : usize) core_ops_index_IndexMut (array t n) idx = { indexInst = core_ops_index_IndexArrayInst t idx n inst.indexInst; index_mut = core_array_Array_index_mut t idx n inst; - index_mut_back = core_array_Array_index_mut_back t idx n inst; } // [core::slice::index::usize::get]: forward function @@ -773,13 +762,8 @@ let core_slice_index_usize_get admit () // TODO // [core::slice::index::usize::get_mut]: forward function -let core_slice_index_usize_get_mut - (t : Type0) : usize → slice t → result (option t) = - admit () // TODO - -// [core::slice::index::usize::get_mut]: backward function 0 -let core_slice_index_usize_get_mut_back - (t : Type0) : usize → slice t → option t → result (slice t) = +let core_slice_index_usize_get_mut (t : Type0) : + usize → slice t → result (option t & (option t -> result (slice t))) = admit () // TODO // [core::slice::index::usize::get_unchecked]: forward function @@ -797,12 +781,8 @@ let core_slice_index_usize_index (t : Type0) : usize → slice t → result t = admit () // TODO // [core::slice::index::usize::index_mut]: forward function -let core_slice_index_usize_index_mut (t : Type0) : usize → slice t → result t = - admit () // TODO - -// [core::slice::index::usize::index_mut]: backward function 0 -let core_slice_index_usize_index_mut_back - (t : Type0) : usize → slice t → t → result (slice t) = +let core_slice_index_usize_index_mut (t : Type0) : + usize → slice t → result (t & (t -> result (slice t))) = admit () // TODO // Trait implementation: [core::slice::index::private_slice_index::usize] @@ -816,12 +796,10 @@ let core_slice_index_SliceIndexUsizeSliceTInst (t : Type0) : output = t; get = core_slice_index_usize_get t; get_mut = core_slice_index_usize_get_mut t; - get_mut_back = core_slice_index_usize_get_mut_back t; get_unchecked = core_slice_index_usize_get_unchecked t; get_unchecked_mut = core_slice_index_usize_get_unchecked_mut t; index = core_slice_index_usize_index t; index_mut = core_slice_index_usize_index_mut t; - index_mut_back = core_slice_index_usize_index_mut_back t; } // [alloc::vec::Vec::index]: forward function @@ -831,13 +809,8 @@ let alloc_vec_Vec_index (t idx : Type0) (inst : core_slice_index_SliceIndex idx // [alloc::vec::Vec::index_mut]: forward function let alloc_vec_Vec_index_mut (t idx : Type0) (inst : core_slice_index_SliceIndex idx (slice t)) - (self : alloc_vec_Vec t) (i : idx) : result inst.output = - admit () // TODO - -// [alloc::vec::Vec::index_mut]: backward function 0 -let alloc_vec_Vec_index_mut_back - (t idx : Type0) (inst : core_slice_index_SliceIndex idx (slice t)) - (self : alloc_vec_Vec t) (i : idx) (x : inst.output) : result (alloc_vec_Vec t) = + (self : alloc_vec_Vec t) (i : idx) : + result (inst.output & (inst.output -> result (alloc_vec_Vec t))) = admit () // TODO // Trait implementation: [alloc::vec::Vec] @@ -854,7 +827,6 @@ let alloc_vec_Vec_coreopsindexIndexMutInst (t idx : Type0) core_ops_index_IndexMut (alloc_vec_Vec t) idx = { indexInst = alloc_vec_Vec_coreopsindexIndexInst t idx inst; index_mut = alloc_vec_Vec_index_mut t idx inst; - index_mut_back = alloc_vec_Vec_index_mut_back t idx inst; } (*** Theorems *) @@ -870,15 +842,7 @@ let alloc_vec_Vec_index_eq (#a : Type0) (v : alloc_vec_Vec a) (i : usize) : let alloc_vec_Vec_index_mut_eq (#a : Type0) (v : alloc_vec_Vec a) (i : usize) : Lemma ( alloc_vec_Vec_index_mut a usize (core_slice_index_SliceIndexUsizeSliceTInst a) v i == - alloc_vec_Vec_index_usize v i) + alloc_vec_Vec_index_mut_usize v i) [SMTPat (alloc_vec_Vec_index_mut a usize (core_slice_index_SliceIndexUsizeSliceTInst a) v i)] = admit() - -let alloc_vec_Vec_index_mut_back_eq (#a : Type0) (v : alloc_vec_Vec a) (i : usize) (x : a) : - Lemma ( - alloc_vec_Vec_index_mut_back a usize (core_slice_index_SliceIndexUsizeSliceTInst a) v i x == - alloc_vec_Vec_update_usize v i x) - [SMTPat (alloc_vec_Vec_index_mut_back a usize (core_slice_index_SliceIndexUsizeSliceTInst a) v i x)] - = - admit() diff --git a/tests/fstar/hashmap/Hashmap.Funs.fst b/tests/fstar/hashmap/Hashmap.Funs.fst index e6cd1411..447f9b49 100644 --- a/tests/fstar/hashmap/Hashmap.Funs.fst +++ b/tests/fstar/hashmap/Hashmap.Funs.fst @@ -7,12 +7,12 @@ include Hashmap.Clauses #set-options "--z3rlimit 50 --fuel 1 --ifuel 1" -(** [hashmap::hash_key]: forward function +(** [hashmap::hash_key]: Source: 'src/hashmap.rs', lines 27:0-27:32 *) let 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 *) let rec hashMap_allocate_slots_loop (t : Type0) (slots : alloc_vec_Vec (list_t t)) (n : usize) : @@ -21,12 +21,12 @@ let rec hashMap_allocate_slots_loop = if n > 0 then - let* slots0 = alloc_vec_Vec_push (list_t t) slots List_Nil in - let* n0 = usize_sub n 1 in - hashMap_allocate_slots_loop t slots0 n0 + let* v = alloc_vec_Vec_push (list_t t) slots List_Nil in + let* n1 = usize_sub n 1 in + hashMap_allocate_slots_loop t v n1 else Return slots -(** [hashmap::{hashmap::HashMap<T>}::allocate_slots]: forward function +(** [hashmap::{hashmap::HashMap<T>}::allocate_slots]: Source: 'src/hashmap.rs', lines 50:4-50:76 *) let hashMap_allocate_slots (t : Type0) (slots : alloc_vec_Vec (list_t t)) (n : usize) : @@ -34,107 +34,85 @@ let hashMap_allocate_slots = hashMap_allocate_slots_loop t slots n -(** [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 *) let hashMap_new_with_capacity (t : Type0) (capacity : usize) (max_load_dividend : usize) (max_load_divisor : usize) : result (hashMap_t t) = - let v = alloc_vec_Vec_new (list_t t) in - let* slots = hashMap_allocate_slots t v capacity in + let* slots = hashMap_allocate_slots t (alloc_vec_Vec_new (list_t t)) capacity + in let* i = usize_mul capacity max_load_dividend in - let* i0 = usize_div i max_load_divisor in + let* i1 = usize_div i max_load_divisor in Return { num_entries = 0; max_load_factor = (max_load_dividend, max_load_divisor); - max_load = i0; + max_load = i1; slots = slots } -(** [hashmap::{hashmap::HashMap<T>}::new]: forward function +(** [hashmap::{hashmap::HashMap<T>}::new]: Source: 'src/hashmap.rs', lines 75:4-75:24 *) let hashMap_new (t : Type0) : result (hashMap_t t) = hashMap_new_with_capacity t 32 4 5 -(** [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 *) let rec hashMap_clear_loop (t : Type0) (slots : alloc_vec_Vec (list_t t)) (i : usize) : Tot (result (alloc_vec_Vec (list_t t))) (decreases (hashMap_clear_loop_decreases t slots i)) = - let i0 = alloc_vec_Vec_len (list_t t) slots in - if i < i0 + let i1 = alloc_vec_Vec_len (list_t t) slots in + if i < i1 then - let* i1 = usize_add i 1 in - let* slots0 = - alloc_vec_Vec_index_mut_back (list_t t) usize - (core_slice_index_SliceIndexUsizeSliceTInst (list_t t)) slots i - List_Nil in - hashMap_clear_loop t slots0 i1 + let* (_, index_mut_back) = + alloc_vec_Vec_index_mut (list_t t) usize + (core_slice_index_SliceIndexUsizeSliceTInst (list_t t)) slots i in + let* i2 = usize_add i 1 in + let* slots1 = index_mut_back List_Nil in + hashMap_clear_loop t slots1 i2 else Return slots -(** [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 *) let hashMap_clear (t : Type0) (self : hashMap_t t) : result (hashMap_t t) = - let* v = hashMap_clear_loop t self.slots 0 in - Return { self with num_entries = 0; slots = v } + let* back = hashMap_clear_loop t self.slots 0 in + Return { self with num_entries = 0; slots = back } -(** [hashmap::{hashmap::HashMap<T>}::len]: forward function +(** [hashmap::{hashmap::HashMap<T>}::len]: Source: 'src/hashmap.rs', lines 90:4-90:30 *) let hashMap_len (t : Type0) (self : hashMap_t t) : result usize = Return self.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 *) let rec hashMap_insert_in_list_loop (t : Type0) (key : usize) (value : t) (ls : list_t t) : - Tot (result bool) + Tot (result (bool & (list_t t))) (decreases (hashMap_insert_in_list_loop_decreases t key value ls)) = begin match ls with | List_Cons ckey cvalue tl -> if ckey = key - then Return false - else hashMap_insert_in_list_loop t key value tl - | List_Nil -> Return true + then Return (false, List_Cons ckey value tl) + else + let* (b, back) = hashMap_insert_in_list_loop t key value tl in + Return (b, List_Cons ckey cvalue back) + | List_Nil -> Return (true, List_Cons key value List_Nil) 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 *) let hashMap_insert_in_list - (t : Type0) (key : usize) (value : t) (ls : list_t t) : result bool = - hashMap_insert_in_list_loop t key value ls - -(** [hashmap::{hashmap::HashMap<T>}::insert_in_list]: loop 0: backward function 0 - Source: 'src/hashmap.rs', lines 97:4-114:5 *) -let rec hashMap_insert_in_list_loop_back (t : Type0) (key : usize) (value : t) (ls : list_t t) : - Tot (result (list_t t)) - (decreases (hashMap_insert_in_list_loop_decreases t key value ls)) + result (bool & (list_t t)) = - begin match ls with - | List_Cons ckey cvalue tl -> - if ckey = key - then Return (List_Cons ckey value tl) - else - let* tl0 = hashMap_insert_in_list_loop_back t key value tl in - Return (List_Cons ckey cvalue tl0) - | List_Nil -> let l = List_Nil in Return (List_Cons key value l) - end - -(** [hashmap::{hashmap::HashMap<T>}::insert_in_list]: backward function 0 - Source: 'src/hashmap.rs', lines 97:4-97:71 *) -let hashMap_insert_in_list_back - (t : Type0) (key : usize) (value : t) (ls : list_t t) : result (list_t t) = - hashMap_insert_in_list_loop_back t key value ls + hashMap_insert_in_list_loop t 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 *) let hashMap_insert_no_resize (t : Type0) (self : hashMap_t t) (key : usize) (value : t) : @@ -143,30 +121,19 @@ let hashMap_insert_no_resize let* hash = hash_key key in let i = alloc_vec_Vec_len (list_t t) self.slots in let* hash_mod = usize_rem hash i in - let* l = + let* (l, index_mut_back) = alloc_vec_Vec_index_mut (list_t t) usize (core_slice_index_SliceIndexUsizeSliceTInst (list_t t)) self.slots hash_mod in - let* inserted = hashMap_insert_in_list t key value l in + let* (inserted, l1) = hashMap_insert_in_list t key value l in if inserted then - let* i0 = usize_add self.num_entries 1 in - let* l0 = hashMap_insert_in_list_back t key value l in - let* v = - alloc_vec_Vec_index_mut_back (list_t t) usize - (core_slice_index_SliceIndexUsizeSliceTInst (list_t t)) self.slots - hash_mod l0 in - Return { self with num_entries = i0; slots = v } - else - let* l0 = hashMap_insert_in_list_back t key value l in - let* v = - alloc_vec_Vec_index_mut_back (list_t t) usize - (core_slice_index_SliceIndexUsizeSliceTInst (list_t t)) self.slots - hash_mod l0 in - Return { self with slots = v } - -(** [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 ()) + let* i1 = usize_add self.num_entries 1 in + let* v = index_mut_back l1 in + Return { self with num_entries = i1; slots = v } + else let* v = index_mut_back l1 in Return { self with slots = v } + +(** [hashmap::{hashmap::HashMap<T>}::move_elements_from_list]: loop 0: Source: 'src/hashmap.rs', lines 183:4-196:5 *) let rec hashMap_move_elements_from_list_loop (t : Type0) (ntable : hashMap_t t) (ls : list_t t) : @@ -175,20 +142,18 @@ let rec hashMap_move_elements_from_list_loop = begin match ls with | List_Cons k v tl -> - let* ntable0 = hashMap_insert_no_resize t ntable k v in - hashMap_move_elements_from_list_loop t ntable0 tl + let* hm = hashMap_insert_no_resize t ntable k v in + hashMap_move_elements_from_list_loop t hm tl | List_Nil -> Return ntable 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 *) let hashMap_move_elements_from_list (t : Type0) (ntable : hashMap_t t) (ls : list_t t) : result (hashMap_t t) = hashMap_move_elements_from_list_loop t 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 *) let rec hashMap_move_elements_loop (t : Type0) (ntable : hashMap_t t) (slots : alloc_vec_Vec (list_t t)) @@ -196,64 +161,63 @@ let rec hashMap_move_elements_loop Tot (result ((hashMap_t t) & (alloc_vec_Vec (list_t t)))) (decreases (hashMap_move_elements_loop_decreases t ntable slots i)) = - let i0 = alloc_vec_Vec_len (list_t t) slots in - if i < i0 + let i1 = alloc_vec_Vec_len (list_t t) slots in + if i < i1 then - let* l = + let* (l, index_mut_back) = alloc_vec_Vec_index_mut (list_t t) usize (core_slice_index_SliceIndexUsizeSliceTInst (list_t t)) slots i in - let ls = core_mem_replace (list_t t) l List_Nil in - let* ntable0 = hashMap_move_elements_from_list t ntable ls in - let* i1 = usize_add i 1 in - let l0 = core_mem_replace_back (list_t t) l List_Nil in - let* slots0 = - alloc_vec_Vec_index_mut_back (list_t t) usize - (core_slice_index_SliceIndexUsizeSliceTInst (list_t t)) slots i l0 in - hashMap_move_elements_loop t ntable0 slots0 i1 + let (ls, l1) = core_mem_replace (list_t t) l List_Nil in + let* hm = hashMap_move_elements_from_list t ntable ls in + let* i2 = usize_add i 1 in + let* slots1 = index_mut_back l1 in + let* back_'a = hashMap_move_elements_loop t hm slots1 i2 in + let (hm1, v) = back_'a in + Return (hm1, v) else Return (ntable, slots) -(** [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 *) let hashMap_move_elements (t : Type0) (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 ntable slots i + let* back_'a = hashMap_move_elements_loop t ntable slots i in + 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 *) let hashMap_try_resize (t : Type0) (self : hashMap_t t) : result (hashMap_t t) = let* max_usize = scalar_cast U32 Usize core_u32_max in let capacity = alloc_vec_Vec_len (list_t t) self.slots in let* n1 = usize_div max_usize 2 in - let (i, i0) = self.max_load_factor in - let* i1 = usize_div n1 i in - if capacity <= i1 + let (i, i1) = self.max_load_factor in + let* i2 = usize_div n1 i in + if capacity <= i2 then - let* i2 = usize_mul capacity 2 in - let* ntable = hashMap_new_with_capacity t i2 i i0 in - let* (ntable0, _) = hashMap_move_elements t ntable self.slots 0 in + let* i3 = usize_mul capacity 2 in + let* ntable = hashMap_new_with_capacity t i3 i i1 in + let* p = hashMap_move_elements t ntable self.slots 0 in + let (ntable1, _) = p in Return - { ntable0 with num_entries = self.num_entries; max_load_factor = (i, i0) + { ntable1 with num_entries = self.num_entries; max_load_factor = (i, i1) } - else Return { self with max_load_factor = (i, i0) } + else Return { self with max_load_factor = (i, i1) } -(** [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 *) let hashMap_insert (t : Type0) (self : hashMap_t t) (key : usize) (value : t) : result (hashMap_t t) = - let* self0 = hashMap_insert_no_resize t self key value in - let* i = hashMap_len t self0 in - if i > self0.max_load then hashMap_try_resize t self0 else Return self0 + let* hm = hashMap_insert_no_resize t self key value in + let* i = hashMap_len t hm in + if i > hm.max_load then hashMap_try_resize t 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 *) let rec hashMap_contains_key_in_list_loop (t : Type0) (key : usize) (ls : list_t t) : @@ -261,20 +225,20 @@ let rec hashMap_contains_key_in_list_loop (decreases (hashMap_contains_key_in_list_loop_decreases t key ls)) = begin match ls with - | List_Cons ckey x tl -> + | List_Cons ckey _ tl -> if ckey = key then Return true else hashMap_contains_key_in_list_loop t key tl | List_Nil -> Return false 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 *) let hashMap_contains_key_in_list (t : Type0) (key : usize) (ls : list_t t) : result bool = hashMap_contains_key_in_list_loop t 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 *) let hashMap_contains_key (t : Type0) (self : hashMap_t t) (key : usize) : result bool = @@ -287,7 +251,7 @@ let hashMap_contains_key hash_mod in hashMap_contains_key_in_list t 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 *) let rec hashMap_get_in_list_loop (t : Type0) (key : usize) (ls : list_t t) : @@ -299,12 +263,12 @@ let rec hashMap_get_in_list_loop | List_Nil -> Fail Failure 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 *) let hashMap_get_in_list (t : Type0) (key : usize) (ls : list_t t) : result t = hashMap_get_in_list_loop t key ls -(** [hashmap::{hashmap::HashMap<T>}::get]: forward function +(** [hashmap::{hashmap::HashMap<T>}::get]: Source: 'src/hashmap.rs', lines 239:4-239:55 *) let hashMap_get (t : Type0) (self : hashMap_t t) (key : usize) : result t = let* hash = hash_key key in @@ -316,214 +280,146 @@ let hashMap_get (t : Type0) (self : hashMap_t t) (key : usize) : result t = hash_mod in hashMap_get_in_list t 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 *) let rec hashMap_get_mut_in_list_loop (t : Type0) (ls : list_t t) (key : usize) : - Tot (result t) (decreases (hashMap_get_mut_in_list_loop_decreases t ls key)) - = - begin match ls with - | List_Cons ckey cvalue tl -> - if ckey = key then Return cvalue else hashMap_get_mut_in_list_loop t tl key - | List_Nil -> Fail Failure - end - -(** [hashmap::{hashmap::HashMap<T>}::get_mut_in_list]: forward function - Source: 'src/hashmap.rs', lines 245:4-245:86 *) -let hashMap_get_mut_in_list - (t : Type0) (ls : list_t t) (key : usize) : result t = - hashMap_get_mut_in_list_loop t ls key - -(** [hashmap::{hashmap::HashMap<T>}::get_mut_in_list]: loop 0: backward function 0 - Source: 'src/hashmap.rs', lines 245:4-254:5 *) -let rec hashMap_get_mut_in_list_loop_back - (t : Type0) (ls : list_t t) (key : usize) (ret : t) : - Tot (result (list_t t)) + Tot (result (t & (t -> result (list_t t)))) (decreases (hashMap_get_mut_in_list_loop_decreases t ls key)) = begin match ls with | List_Cons ckey cvalue tl -> if ckey = key - then Return (List_Cons ckey ret tl) + then + let back_'a = fun ret -> Return (List_Cons ckey ret tl) in + Return (cvalue, back_'a) else - let* tl0 = hashMap_get_mut_in_list_loop_back t tl key ret in - Return (List_Cons ckey cvalue tl0) + let* (x, back_'a) = hashMap_get_mut_in_list_loop t tl key in + let back_'a1 = + fun ret -> let* tl1 = back_'a ret in Return (List_Cons ckey cvalue tl1) + in + Return (x, back_'a1) | List_Nil -> Fail Failure 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 *) -let hashMap_get_mut_in_list_back - (t : Type0) (ls : list_t t) (key : usize) (ret : t) : result (list_t t) = - hashMap_get_mut_in_list_loop_back t ls key ret - -(** [hashmap::{hashmap::HashMap<T>}::get_mut]: forward function - Source: 'src/hashmap.rs', lines 257:4-257:67 *) -let hashMap_get_mut (t : Type0) (self : hashMap_t t) (key : usize) : result t = - let* hash = hash_key key in - let i = alloc_vec_Vec_len (list_t t) self.slots in - let* hash_mod = usize_rem hash i in - let* l = - alloc_vec_Vec_index_mut (list_t t) usize - (core_slice_index_SliceIndexUsizeSliceTInst (list_t t)) self.slots - hash_mod in - hashMap_get_mut_in_list t l key +let hashMap_get_mut_in_list + (t : Type0) (ls : list_t t) (key : usize) : + result (t & (t -> result (list_t t))) + = + let* (x, back_'a) = hashMap_get_mut_in_list_loop t ls key in + Return (x, back_'a) -(** [hashmap::{hashmap::HashMap<T>}::get_mut]: backward function 0 +(** [hashmap::{hashmap::HashMap<T>}::get_mut]: Source: 'src/hashmap.rs', lines 257:4-257:67 *) -let hashMap_get_mut_back - (t : Type0) (self : hashMap_t t) (key : usize) (ret : t) : - result (hashMap_t t) +let hashMap_get_mut + (t : Type0) (self : hashMap_t t) (key : usize) : + result (t & (t -> result (hashMap_t t))) = let* hash = hash_key key in let i = alloc_vec_Vec_len (list_t t) self.slots in let* hash_mod = usize_rem hash i in - let* l = + let* (l, index_mut_back) = alloc_vec_Vec_index_mut (list_t t) usize (core_slice_index_SliceIndexUsizeSliceTInst (list_t t)) self.slots hash_mod in - let* l0 = hashMap_get_mut_in_list_back t l key ret in - let* v = - alloc_vec_Vec_index_mut_back (list_t t) usize - (core_slice_index_SliceIndexUsizeSliceTInst (list_t t)) self.slots - hash_mod l0 in - Return { self with slots = v } - -(** [hashmap::{hashmap::HashMap<T>}::remove_from_list]: loop 0: forward function + let* (x, get_mut_in_list_back) = hashMap_get_mut_in_list t l key in + let back_'a = + fun ret -> + let* l1 = get_mut_in_list_back ret in + let* v = index_mut_back l1 in + Return { self with slots = v } in + Return (x, back_'a) + +(** [hashmap::{hashmap::HashMap<T>}::remove_from_list]: loop 0: Source: 'src/hashmap.rs', lines 265:4-291:5 *) let rec hashMap_remove_from_list_loop (t : Type0) (key : usize) (ls : list_t t) : - Tot (result (option t)) + Tot (result ((option t) & (list_t t))) (decreases (hashMap_remove_from_list_loop_decreases t key ls)) = begin match ls with | List_Cons ckey x tl -> if ckey = key then - let mv_ls = core_mem_replace (list_t t) (List_Cons ckey x tl) List_Nil in + let (mv_ls, _) = + core_mem_replace (list_t t) (List_Cons ckey x tl) List_Nil in begin 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 key tl - | List_Nil -> Return None + else + let* (o, back) = hashMap_remove_from_list_loop t key tl in + Return (o, List_Cons ckey x back) + | List_Nil -> Return (None, List_Nil) 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 *) let hashMap_remove_from_list - (t : Type0) (key : usize) (ls : list_t t) : result (option t) = - hashMap_remove_from_list_loop t key ls - -(** [hashmap::{hashmap::HashMap<T>}::remove_from_list]: loop 0: backward function 1 - Source: 'src/hashmap.rs', lines 265:4-291:5 *) -let rec hashMap_remove_from_list_loop_back (t : Type0) (key : usize) (ls : list_t t) : - Tot (result (list_t t)) - (decreases (hashMap_remove_from_list_loop_decreases t key ls)) + result ((option t) & (list_t t)) = - begin match ls with - | List_Cons ckey x tl -> - if ckey = key - then - let mv_ls = core_mem_replace (list_t t) (List_Cons ckey x tl) List_Nil in - begin match mv_ls with - | List_Cons i cvalue tl0 -> Return tl0 - | List_Nil -> Fail Failure - end - else - let* tl0 = hashMap_remove_from_list_loop_back t key tl in - Return (List_Cons ckey x tl0) - | List_Nil -> Return List_Nil - end - -(** [hashmap::{hashmap::HashMap<T>}::remove_from_list]: backward function 1 - Source: 'src/hashmap.rs', lines 265:4-265:69 *) -let hashMap_remove_from_list_back - (t : Type0) (key : usize) (ls : list_t t) : result (list_t t) = - hashMap_remove_from_list_loop_back t key ls + hashMap_remove_from_list_loop t key ls -(** [hashmap::{hashmap::HashMap<T>}::remove]: forward function +(** [hashmap::{hashmap::HashMap<T>}::remove]: Source: 'src/hashmap.rs', lines 294:4-294:52 *) let hashMap_remove - (t : Type0) (self : hashMap_t t) (key : usize) : result (option t) = - let* hash = hash_key key in - let i = alloc_vec_Vec_len (list_t t) self.slots in - let* hash_mod = usize_rem hash i in - let* l = - alloc_vec_Vec_index_mut (list_t t) usize - (core_slice_index_SliceIndexUsizeSliceTInst (list_t t)) self.slots - hash_mod in - let* x = hashMap_remove_from_list t key l in - begin match x with - | None -> Return None - | Some x0 -> let* _ = usize_sub self.num_entries 1 in Return (Some x0) - end - -(** [hashmap::{hashmap::HashMap<T>}::remove]: backward function 0 - Source: 'src/hashmap.rs', lines 294:4-294:52 *) -let hashMap_remove_back - (t : Type0) (self : hashMap_t t) (key : usize) : result (hashMap_t t) = + (t : Type0) (self : hashMap_t t) (key : usize) : + result ((option t) & (hashMap_t t)) + = let* hash = hash_key key in let i = alloc_vec_Vec_len (list_t t) self.slots in let* hash_mod = usize_rem hash i in - let* l = + let* (l, index_mut_back) = alloc_vec_Vec_index_mut (list_t t) usize (core_slice_index_SliceIndexUsizeSliceTInst (list_t t)) self.slots hash_mod in - let* x = hashMap_remove_from_list t key l in + let* (x, l1) = hashMap_remove_from_list t key l in begin match x with | None -> - let* l0 = hashMap_remove_from_list_back t key l in - let* v = - alloc_vec_Vec_index_mut_back (list_t t) usize - (core_slice_index_SliceIndexUsizeSliceTInst (list_t t)) self.slots - hash_mod l0 in - Return { self with slots = v } - | Some x0 -> - let* i0 = usize_sub self.num_entries 1 in - let* l0 = hashMap_remove_from_list_back t key l in - let* v = - alloc_vec_Vec_index_mut_back (list_t t) usize - (core_slice_index_SliceIndexUsizeSliceTInst (list_t t)) self.slots - hash_mod l0 in - Return { self with num_entries = i0; slots = v } + let* v = index_mut_back l1 in Return (None, { self with slots = v }) + | Some x1 -> + let* i1 = usize_sub self.num_entries 1 in + let* v = index_mut_back l1 in + Return (Some x1, { self with num_entries = i1; slots = v }) end -(** [hashmap::test1]: forward function +(** [hashmap::test1]: Source: 'src/hashmap.rs', lines 315:0-315:10 *) let test1 : result unit = let* hm = hashMap_new u64 in - let* hm0 = hashMap_insert u64 hm 0 42 in - let* hm1 = hashMap_insert u64 hm0 128 18 in - let* hm2 = hashMap_insert u64 hm1 1024 138 in - let* hm3 = hashMap_insert u64 hm2 1056 256 in - let* i = hashMap_get u64 hm3 128 in + let* hm1 = hashMap_insert u64 hm 0 42 in + let* hm2 = hashMap_insert u64 hm1 128 18 in + let* hm3 = hashMap_insert u64 hm2 1024 138 in + let* hm4 = hashMap_insert u64 hm3 1056 256 in + let* i = hashMap_get u64 hm4 128 in if not (i = 18) then Fail Failure else - let* hm4 = hashMap_get_mut_back u64 hm3 1024 56 in - let* i0 = hashMap_get u64 hm4 1024 in - if not (i0 = 56) + let* (_, get_mut_back) = hashMap_get_mut u64 hm4 1024 in + let* hm5 = get_mut_back 56 in + let* i1 = hashMap_get u64 hm5 1024 in + if not (i1 = 56) then Fail Failure else - let* x = hashMap_remove u64 hm4 1024 in + let* (x, hm6) = hashMap_remove u64 hm5 1024 in begin match x with | None -> Fail Failure - | Some x0 -> - if not (x0 = 56) + | Some x1 -> + if not (x1 = 56) then Fail Failure else - let* hm5 = hashMap_remove_back u64 hm4 1024 in - let* i1 = hashMap_get u64 hm5 0 in - if not (i1 = 42) + let* i2 = hashMap_get u64 hm6 0 in + if not (i2 = 42) then Fail Failure else - let* i2 = hashMap_get u64 hm5 128 in - if not (i2 = 18) + let* i3 = hashMap_get u64 hm6 128 in + if not (i3 = 18) then Fail Failure else - let* i3 = hashMap_get u64 hm5 1056 in - if not (i3 = 256) then Fail Failure else Return () + let* i4 = hashMap_get u64 hm6 1056 in + if not (i4 = 256) then Fail Failure else Return () end diff --git a/tests/fstar/hashmap/Primitives.fst b/tests/fstar/hashmap/Primitives.fst index a3ffbde4..fca80829 100644 --- a/tests/fstar/hashmap/Primitives.fst +++ b/tests/fstar/hashmap/Primitives.fst @@ -55,8 +55,7 @@ type string = string let is_zero (n: nat) : bool = n = 0 let decrease (n: nat{n > 0}) : nat = n - 1 -let core_mem_replace (a : Type0) (x : a) (y : a) : a = x -let core_mem_replace_back (a : Type0) (x : a) (y : a) : a = y +let core_mem_replace (a : Type0) (x : a) (y : a) : a & a = (x, x) // We don't really use raw pointers for now type mut_raw_ptr (t : Type0) = { v : t } @@ -477,8 +476,7 @@ noeq type core_ops_index_Index (self idx : Type0) = { // Trait declaration: [core::ops::index::IndexMut] noeq type core_ops_index_IndexMut (self idx : Type0) = { indexInst : core_ops_index_Index self idx; - index_mut : self → idx → result indexInst.output; - index_mut_back : self → idx → indexInst.output → result self; + index_mut : self → idx → result (indexInst.output & (indexInst.output → result self)); } // Trait declaration [core::ops::deref::Deref] @@ -490,8 +488,7 @@ noeq type core_ops_deref_Deref (self : Type0) = { // Trait declaration [core::ops::deref::DerefMut] noeq type core_ops_deref_DerefMut (self : Type0) = { derefInst : core_ops_deref_Deref self; - deref_mut : self → result derefInst.target; - deref_mut_back : self → derefInst.target → result self; + deref_mut : self → result (derefInst.target & (derefInst.target → result self)); } type core_ops_range_Range (a : Type0) = { @@ -502,8 +499,8 @@ type core_ops_range_Range (a : Type0) = { (*** [alloc] *) let alloc_boxed_Box_deref (t : Type0) (x : t) : result t = Return x -let alloc_boxed_Box_deref_mut (t : Type0) (x : t) : result t = Return x -let alloc_boxed_Box_deref_mut_back (t : Type) (_ : t) (x : t) : result t = Return x +let alloc_boxed_Box_deref_mut (t : Type0) (x : t) : result (t & (t -> result t)) = + Return (x, (fun x -> Return x)) // Trait instance let alloc_boxed_Box_coreopsDerefInst (self : Type0) : core_ops_deref_Deref self = { @@ -515,7 +512,6 @@ let alloc_boxed_Box_coreopsDerefInst (self : Type0) : core_ops_deref_Deref self let alloc_boxed_Box_coreopsDerefMutInst (self : Type0) : core_ops_deref_DerefMut self = { derefInst = alloc_boxed_Box_coreopsDerefInst self; deref_mut = alloc_boxed_Box_deref_mut self; - deref_mut_back = alloc_boxed_Box_deref_mut_back self; } (*** Array *) @@ -535,10 +531,18 @@ let array_index_usize (a : Type0) (n : usize) (x : array a n) (i : usize) : resu if i < length x then Return (index x i) else Fail Failure -let array_update_usize (a : Type0) (n : usize) (x : array a n) (i : usize) (nx : a) : result (array a n) = +let array_update_usize (a : Type0) (n : usize) (x : array a n) (i : usize) (nx : a) : + result (array a n) = if i < length x then Return (list_update x i nx) else Fail Failure +let array_index_mut_usize (a : Type0) (n : usize) (x : array a n) (i : usize) : + result (a & (a -> result (array a n))) = + match array_index_usize a n x i with + | Fail e -> Fail e + | Return v -> + Return (v, array_update_usize a n x i) + (*** Slice *) type slice (a : Type0) = s:list a{length s <= usize_max} @@ -552,6 +556,13 @@ let slice_update_usize (a : Type0) (x : slice a) (i : usize) (nx : a) : result ( if i < length x then Return (list_update x i nx) else Fail Failure +let slice_index_mut_usize (a : Type0) (s : slice a) (i : usize) : + result (a & (a -> result (slice a))) = + match slice_index_usize a s i with + | Fail e -> Fail e + | Return x -> + Return (x, slice_update_usize a s i) + (*** Subslices *) let array_to_slice (a : Type0) (n : usize) (x : array a n) : result (slice a) = Return x @@ -559,6 +570,10 @@ let array_from_slice (a : Type0) (n : usize) (x : array a n) (s : slice a) : res if length s = n then Return s else Fail Failure +let array_to_slice_mut (a : Type0) (n : usize) (x : array a n) : + result (slice a & (slice a -> result (array a n))) = + Return (x, array_from_slice a n x) + // TODO: finish the definitions below (there lacks [List.drop] and [List.take] in the standard library *) let array_subslice (a : Type0) (n : usize) (x : array a n) (r : core_ops_range_Range usize) : result (slice a) = admit() @@ -588,8 +603,13 @@ let alloc_vec_Vec_index_usize (#a : Type0) (v : alloc_vec_Vec a) (i : usize) : r let alloc_vec_Vec_update_usize (#a : Type0) (v : alloc_vec_Vec a) (i : usize) (x : a) : result (alloc_vec_Vec a) = if i < length v then Return (list_update v i x) else Fail Failure -// The **forward** function shouldn't be used -let alloc_vec_Vec_push_fwd (a : Type0) (v : alloc_vec_Vec a) (x : a) : unit = () +let alloc_vec_Vec_index_mut_usize (#a : Type0) (v: alloc_vec_Vec a) (i: usize) : + result (a & (a → result (alloc_vec_Vec a))) = + match alloc_vec_Vec_index_usize v i with + | Return x -> + Return (x, alloc_vec_Vec_update_usize v i) + | Fail e -> Fail e + let alloc_vec_Vec_push (a : Type0) (v : alloc_vec_Vec a) (x : a) : Pure (result (alloc_vec_Vec a)) (requires True) @@ -605,9 +625,6 @@ let alloc_vec_Vec_push (a : Type0) (v : alloc_vec_Vec a) (x : a) : end else Fail Failure -// The **forward** function shouldn't be used -let alloc_vec_Vec_insert_fwd (a : Type0) (v : alloc_vec_Vec a) (i : usize) (x : a) : result unit = - if i < length v then Return () else Fail Failure let alloc_vec_Vec_insert (a : Type0) (v : alloc_vec_Vec a) (i : usize) (x : a) : result (alloc_vec_Vec a) = if i < length v then Return (list_update v i x) else Fail Failure @@ -619,13 +636,11 @@ noeq type core_slice_index_SliceIndex (self t : Type0) = { sealedInst : core_slice_index_private_slice_index_Sealed self; output : Type0; get : self → t → result (option output); - get_mut : self → t → result (option output); - get_mut_back : self → t → option output → result t; + get_mut : self → t → result (option output & (option output -> result t)); get_unchecked : self → const_raw_ptr t → result (const_raw_ptr output); get_unchecked_mut : self → mut_raw_ptr t → result (mut_raw_ptr output); index : self → t → result output; - index_mut : self → t → result output; - index_mut_back : self → t → output → result t; + index_mut : self → t → result (output & (output -> result t)); } // [core::slice::index::[T]::index]: forward function @@ -643,14 +658,8 @@ let core_slice_index_RangeUsize_get (t : Type0) (i : core_ops_range_Range usize) admit () // TODO // [core::slice::index::Range::get_mut]: forward function -let core_slice_index_RangeUsize_get_mut - (t : Type0) : core_ops_range_Range usize → slice t → result (option (slice t)) = - admit () // TODO - -// [core::slice::index::Range::get_mut]: backward function 0 -let core_slice_index_RangeUsize_get_mut_back - (t : Type0) : - core_ops_range_Range usize → slice t → option (slice t) → result (slice t) = +let core_slice_index_RangeUsize_get_mut (t : Type0) : + core_ops_range_Range usize → slice t → result (option (slice t) & (option (slice t) -> result (slice t))) = admit () // TODO // [core::slice::index::Range::get_unchecked]: forward function @@ -675,27 +684,16 @@ let core_slice_index_RangeUsize_index admit () // TODO // [core::slice::index::Range::index_mut]: forward function -let core_slice_index_RangeUsize_index_mut - (t : Type0) : core_ops_range_Range usize → slice t → result (slice t) = - admit () // TODO - -// [core::slice::index::Range::index_mut]: backward function 0 -let core_slice_index_RangeUsize_index_mut_back - (t : Type0) : core_ops_range_Range usize → slice t → slice t → result (slice t) = +let core_slice_index_RangeUsize_index_mut (t : Type0) : + core_ops_range_Range usize → slice t → result (slice t & (slice t -> result (slice t))) = admit () // TODO // [core::slice::index::[T]::index_mut]: forward function let core_slice_index_Slice_index_mut (t idx : Type0) (inst : core_slice_index_SliceIndex idx (slice t)) : - slice t → idx → result inst.output = + slice t → idx → result (inst.output & (inst.output -> result (slice t))) = admit () // -// [core::slice::index::[T]::index_mut]: backward function 0 -let core_slice_index_Slice_index_mut_back - (t idx : Type0) (inst : core_slice_index_SliceIndex idx (slice t)) : - slice t → idx → inst.output → result (slice t) = - admit () // TODO - // [core::array::[T; N]::index]: forward function let core_array_Array_index (t idx : Type0) (n : usize) (inst : core_ops_index_Index (slice t) idx) @@ -705,13 +703,8 @@ let core_array_Array_index // [core::array::[T; N]::index_mut]: forward function let core_array_Array_index_mut (t idx : Type0) (n : usize) (inst : core_ops_index_IndexMut (slice t) idx) - (a : array t n) (i : idx) : result inst.indexInst.output = - admit () // TODO - -// [core::array::[T; N]::index_mut]: backward function 0 -let core_array_Array_index_mut_back - (t idx : Type0) (n : usize) (inst : core_ops_index_IndexMut (slice t) idx) - (a : array t n) (i : idx) (x : inst.indexInst.output) : result (array t n) = + (a : array t n) (i : idx) : + result (inst.indexInst.output & (inst.indexInst.output -> result (array t n))) = admit () // TODO // Trait implementation: [core::slice::index::private_slice_index::Range] @@ -725,12 +718,10 @@ let core_slice_index_SliceIndexRangeUsizeSliceTInst (t : Type0) : output = slice t; get = core_slice_index_RangeUsize_get t; get_mut = core_slice_index_RangeUsize_get_mut t; - get_mut_back = core_slice_index_RangeUsize_get_mut_back t; get_unchecked = core_slice_index_RangeUsize_get_unchecked t; get_unchecked_mut = core_slice_index_RangeUsize_get_unchecked_mut t; index = core_slice_index_RangeUsize_index t; index_mut = core_slice_index_RangeUsize_index_mut t; - index_mut_back = core_slice_index_RangeUsize_index_mut_back t; } // Trait implementation: [core::slice::index::[T]] @@ -747,7 +738,6 @@ let core_ops_index_IndexMutSliceTIInst (t idx : Type0) core_ops_index_IndexMut (slice t) idx = { indexInst = core_ops_index_IndexSliceTIInst t idx inst; index_mut = core_slice_index_Slice_index_mut t idx inst; - index_mut_back = core_slice_index_Slice_index_mut_back t idx inst; } // Trait implementation: [core::array::[T; N]] @@ -764,7 +754,6 @@ let core_ops_index_IndexMutArrayIInst (t idx : Type0) (n : usize) core_ops_index_IndexMut (array t n) idx = { indexInst = core_ops_index_IndexArrayInst t idx n inst.indexInst; index_mut = core_array_Array_index_mut t idx n inst; - index_mut_back = core_array_Array_index_mut_back t idx n inst; } // [core::slice::index::usize::get]: forward function @@ -773,13 +762,8 @@ let core_slice_index_usize_get admit () // TODO // [core::slice::index::usize::get_mut]: forward function -let core_slice_index_usize_get_mut - (t : Type0) : usize → slice t → result (option t) = - admit () // TODO - -// [core::slice::index::usize::get_mut]: backward function 0 -let core_slice_index_usize_get_mut_back - (t : Type0) : usize → slice t → option t → result (slice t) = +let core_slice_index_usize_get_mut (t : Type0) : + usize → slice t → result (option t & (option t -> result (slice t))) = admit () // TODO // [core::slice::index::usize::get_unchecked]: forward function @@ -797,12 +781,8 @@ let core_slice_index_usize_index (t : Type0) : usize → slice t → result t = admit () // TODO // [core::slice::index::usize::index_mut]: forward function -let core_slice_index_usize_index_mut (t : Type0) : usize → slice t → result t = - admit () // TODO - -// [core::slice::index::usize::index_mut]: backward function 0 -let core_slice_index_usize_index_mut_back - (t : Type0) : usize → slice t → t → result (slice t) = +let core_slice_index_usize_index_mut (t : Type0) : + usize → slice t → result (t & (t -> result (slice t))) = admit () // TODO // Trait implementation: [core::slice::index::private_slice_index::usize] @@ -816,12 +796,10 @@ let core_slice_index_SliceIndexUsizeSliceTInst (t : Type0) : output = t; get = core_slice_index_usize_get t; get_mut = core_slice_index_usize_get_mut t; - get_mut_back = core_slice_index_usize_get_mut_back t; get_unchecked = core_slice_index_usize_get_unchecked t; get_unchecked_mut = core_slice_index_usize_get_unchecked_mut t; index = core_slice_index_usize_index t; index_mut = core_slice_index_usize_index_mut t; - index_mut_back = core_slice_index_usize_index_mut_back t; } // [alloc::vec::Vec::index]: forward function @@ -831,13 +809,8 @@ let alloc_vec_Vec_index (t idx : Type0) (inst : core_slice_index_SliceIndex idx // [alloc::vec::Vec::index_mut]: forward function let alloc_vec_Vec_index_mut (t idx : Type0) (inst : core_slice_index_SliceIndex idx (slice t)) - (self : alloc_vec_Vec t) (i : idx) : result inst.output = - admit () // TODO - -// [alloc::vec::Vec::index_mut]: backward function 0 -let alloc_vec_Vec_index_mut_back - (t idx : Type0) (inst : core_slice_index_SliceIndex idx (slice t)) - (self : alloc_vec_Vec t) (i : idx) (x : inst.output) : result (alloc_vec_Vec t) = + (self : alloc_vec_Vec t) (i : idx) : + result (inst.output & (inst.output -> result (alloc_vec_Vec t))) = admit () // TODO // Trait implementation: [alloc::vec::Vec] @@ -854,7 +827,6 @@ let alloc_vec_Vec_coreopsindexIndexMutInst (t idx : Type0) core_ops_index_IndexMut (alloc_vec_Vec t) idx = { indexInst = alloc_vec_Vec_coreopsindexIndexInst t idx inst; index_mut = alloc_vec_Vec_index_mut t idx inst; - index_mut_back = alloc_vec_Vec_index_mut_back t idx inst; } (*** Theorems *) @@ -870,15 +842,7 @@ let alloc_vec_Vec_index_eq (#a : Type0) (v : alloc_vec_Vec a) (i : usize) : let alloc_vec_Vec_index_mut_eq (#a : Type0) (v : alloc_vec_Vec a) (i : usize) : Lemma ( alloc_vec_Vec_index_mut a usize (core_slice_index_SliceIndexUsizeSliceTInst a) v i == - alloc_vec_Vec_index_usize v i) + alloc_vec_Vec_index_mut_usize v i) [SMTPat (alloc_vec_Vec_index_mut a usize (core_slice_index_SliceIndexUsizeSliceTInst a) v i)] = admit() - -let alloc_vec_Vec_index_mut_back_eq (#a : Type0) (v : alloc_vec_Vec a) (i : usize) (x : a) : - Lemma ( - alloc_vec_Vec_index_mut_back a usize (core_slice_index_SliceIndexUsizeSliceTInst a) v i x == - alloc_vec_Vec_update_usize v i x) - [SMTPat (alloc_vec_Vec_index_mut_back a usize (core_slice_index_SliceIndexUsizeSliceTInst a) v i x)] - = - admit() diff --git a/tests/fstar/hashmap_on_disk/HashmapMain.Funs.fst b/tests/fstar/hashmap_on_disk/HashmapMain.Funs.fst index f2d09a38..b16dcada 100644 --- a/tests/fstar/hashmap_on_disk/HashmapMain.Funs.fst +++ b/tests/fstar/hashmap_on_disk/HashmapMain.Funs.fst @@ -8,12 +8,12 @@ include HashmapMain.Clauses #set-options "--z3rlimit 50 --fuel 1 --ifuel 1" -(** [hashmap_main::hashmap::hash_key]: forward function +(** [hashmap_main::hashmap::hash_key]: Source: 'src/hashmap.rs', lines 27:0-27:32 *) let 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 *) let rec hashmap_HashMap_allocate_slots_loop (t : Type0) (slots : alloc_vec_Vec (hashmap_List_t t)) (n : usize) : @@ -22,13 +22,12 @@ let rec hashmap_HashMap_allocate_slots_loop = if n > 0 then - let* slots0 = alloc_vec_Vec_push (hashmap_List_t t) slots Hashmap_List_Nil - in - let* n0 = usize_sub n 1 in - hashmap_HashMap_allocate_slots_loop t slots0 n0 + let* v = alloc_vec_Vec_push (hashmap_List_t t) slots Hashmap_List_Nil in + let* n1 = usize_sub n 1 in + hashmap_HashMap_allocate_slots_loop t v n1 else Return slots -(** [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 *) let hashmap_HashMap_allocate_slots (t : Type0) (slots : alloc_vec_Vec (hashmap_List_t t)) (n : usize) : @@ -36,112 +35,90 @@ let hashmap_HashMap_allocate_slots = hashmap_HashMap_allocate_slots_loop t slots n -(** [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 *) let hashmap_HashMap_new_with_capacity (t : Type0) (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 - let* slots = hashmap_HashMap_allocate_slots t v capacity in + let* slots = + hashmap_HashMap_allocate_slots t (alloc_vec_Vec_new (hashmap_List_t t)) + capacity in let* i = usize_mul capacity max_load_dividend in - let* i0 = usize_div i max_load_divisor in + let* i1 = usize_div i max_load_divisor in Return { num_entries = 0; max_load_factor = (max_load_dividend, max_load_divisor); - max_load = i0; + max_load = i1; 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 *) let hashmap_HashMap_new (t : Type0) : result (hashmap_HashMap_t t) = hashmap_HashMap_new_with_capacity t 32 4 5 -(** [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 *) let rec hashmap_HashMap_clear_loop (t : Type0) (slots : alloc_vec_Vec (hashmap_List_t t)) (i : usize) : Tot (result (alloc_vec_Vec (hashmap_List_t t))) (decreases (hashmap_HashMap_clear_loop_decreases t slots i)) = - let i0 = alloc_vec_Vec_len (hashmap_List_t t) slots in - if i < i0 + let i1 = alloc_vec_Vec_len (hashmap_List_t t) slots in + if i < i1 then - let* i1 = usize_add i 1 in - let* slots0 = - alloc_vec_Vec_index_mut_back (hashmap_List_t t) usize + let* (_, index_mut_back) = + alloc_vec_Vec_index_mut (hashmap_List_t t) usize (core_slice_index_SliceIndexUsizeSliceTInst (hashmap_List_t t)) slots i - Hashmap_List_Nil in - hashmap_HashMap_clear_loop t slots0 i1 + in + let* i2 = usize_add i 1 in + let* slots1 = index_mut_back Hashmap_List_Nil in + hashmap_HashMap_clear_loop t slots1 i2 else Return slots -(** [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 *) let hashmap_HashMap_clear (t : Type0) (self : hashmap_HashMap_t t) : result (hashmap_HashMap_t t) = - let* v = hashmap_HashMap_clear_loop t self.slots 0 in - Return { self with num_entries = 0; slots = v } + let* back = hashmap_HashMap_clear_loop t self.slots 0 in + Return { self with num_entries = 0; 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 *) let hashmap_HashMap_len (t : Type0) (self : hashmap_HashMap_t t) : result usize = Return self.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 *) let rec hashmap_HashMap_insert_in_list_loop (t : Type0) (key : usize) (value : t) (ls : hashmap_List_t t) : - Tot (result bool) + Tot (result (bool & (hashmap_List_t t))) (decreases (hashmap_HashMap_insert_in_list_loop_decreases t key value ls)) = begin match ls with | Hashmap_List_Cons ckey cvalue tl -> if ckey = key - then Return false - else hashmap_HashMap_insert_in_list_loop t key value tl - | Hashmap_List_Nil -> Return true - end - -(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::insert_in_list]: forward function - Source: 'src/hashmap.rs', lines 97:4-97:71 *) -let hashmap_HashMap_insert_in_list - (t : Type0) (key : usize) (value : t) (ls : hashmap_List_t t) : result bool = - hashmap_HashMap_insert_in_list_loop t 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 *) -let rec hashmap_HashMap_insert_in_list_loop_back - (t : Type0) (key : usize) (value : t) (ls : hashmap_List_t t) : - Tot (result (hashmap_List_t t)) - (decreases (hashmap_HashMap_insert_in_list_loop_decreases t key value ls)) - = - begin match ls with - | Hashmap_List_Cons ckey cvalue tl -> - if ckey = key - then Return (Hashmap_List_Cons ckey value tl) + then Return (false, Hashmap_List_Cons ckey value tl) else - let* tl0 = hashmap_HashMap_insert_in_list_loop_back t key value tl in - Return (Hashmap_List_Cons ckey cvalue tl0) + let* (b, back) = hashmap_HashMap_insert_in_list_loop t key value tl 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 -(** [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 *) -let hashmap_HashMap_insert_in_list_back +let hashmap_HashMap_insert_in_list (t : Type0) (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 key value ls + hashmap_HashMap_insert_in_list_loop t 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 *) let hashmap_HashMap_insert_no_resize (t : Type0) (self : hashmap_HashMap_t t) (key : usize) (value : t) : @@ -150,30 +127,19 @@ let hashmap_HashMap_insert_no_resize let* hash = hashmap_hash_key key in let i = alloc_vec_Vec_len (hashmap_List_t t) self.slots in let* hash_mod = usize_rem hash i in - let* l = + let* (l, index_mut_back) = alloc_vec_Vec_index_mut (hashmap_List_t t) usize (core_slice_index_SliceIndexUsizeSliceTInst (hashmap_List_t t)) self.slots hash_mod in - let* inserted = hashmap_HashMap_insert_in_list t key value l in + let* (inserted, l1) = hashmap_HashMap_insert_in_list t key value l in if inserted then - let* i0 = usize_add self.num_entries 1 in - let* l0 = hashmap_HashMap_insert_in_list_back t key value l in - let* v = - alloc_vec_Vec_index_mut_back (hashmap_List_t t) usize - (core_slice_index_SliceIndexUsizeSliceTInst (hashmap_List_t t)) - self.slots hash_mod l0 in - Return { self with num_entries = i0; slots = v } - else - let* l0 = hashmap_HashMap_insert_in_list_back t key value l in - let* v = - alloc_vec_Vec_index_mut_back (hashmap_List_t t) usize - (core_slice_index_SliceIndexUsizeSliceTInst (hashmap_List_t t)) - self.slots hash_mod l0 in - Return { self with slots = v } - -(** [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 ()) + let* i1 = usize_add self.num_entries 1 in + let* v = index_mut_back l1 in + Return { self with num_entries = i1; slots = v } + else let* v = index_mut_back l1 in Return { self with slots = v } + +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::move_elements_from_list]: loop 0: Source: 'src/hashmap.rs', lines 183:4-196:5 *) let rec hashmap_HashMap_move_elements_from_list_loop (t : Type0) (ntable : hashmap_HashMap_t t) (ls : hashmap_List_t t) : @@ -183,13 +149,12 @@ let rec hashmap_HashMap_move_elements_from_list_loop = begin match ls with | Hashmap_List_Cons k v tl -> - let* ntable0 = hashmap_HashMap_insert_no_resize t ntable k v in - hashmap_HashMap_move_elements_from_list_loop t ntable0 tl + let* hm = hashmap_HashMap_insert_no_resize t ntable k v in + hashmap_HashMap_move_elements_from_list_loop t hm tl | Hashmap_List_Nil -> Return ntable 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 *) let hashmap_HashMap_move_elements_from_list (t : Type0) (ntable : hashmap_HashMap_t t) (ls : hashmap_List_t t) : @@ -197,8 +162,7 @@ let hashmap_HashMap_move_elements_from_list = hashmap_HashMap_move_elements_from_list_loop t 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 *) let rec hashmap_HashMap_move_elements_loop (t : Type0) (ntable : hashmap_HashMap_t t) @@ -206,68 +170,64 @@ let rec hashmap_HashMap_move_elements_loop Tot (result ((hashmap_HashMap_t t) & (alloc_vec_Vec (hashmap_List_t t)))) (decreases (hashmap_HashMap_move_elements_loop_decreases t ntable slots i)) = - let i0 = alloc_vec_Vec_len (hashmap_List_t t) slots in - if i < i0 + let i1 = alloc_vec_Vec_len (hashmap_List_t t) slots in + if i < i1 then - let* l = + let* (l, index_mut_back) = alloc_vec_Vec_index_mut (hashmap_List_t t) usize (core_slice_index_SliceIndexUsizeSliceTInst (hashmap_List_t t)) slots i in - let ls = core_mem_replace (hashmap_List_t t) l Hashmap_List_Nil in - let* ntable0 = hashmap_HashMap_move_elements_from_list t ntable ls in - let* i1 = usize_add i 1 in - let l0 = core_mem_replace_back (hashmap_List_t t) l Hashmap_List_Nil in - let* slots0 = - alloc_vec_Vec_index_mut_back (hashmap_List_t t) usize - (core_slice_index_SliceIndexUsizeSliceTInst (hashmap_List_t t)) slots i - l0 in - hashmap_HashMap_move_elements_loop t ntable0 slots0 i1 + let (ls, l1) = core_mem_replace (hashmap_List_t t) l Hashmap_List_Nil in + let* hm = hashmap_HashMap_move_elements_from_list t ntable ls in + let* i2 = usize_add i 1 in + let* slots1 = index_mut_back l1 in + let* back_'a = hashmap_HashMap_move_elements_loop t hm slots1 i2 in + let (hm1, v) = back_'a in + Return (hm1, v) else Return (ntable, slots) -(** [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 *) let hashmap_HashMap_move_elements (t : Type0) (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 ntable slots i + let* back_'a = hashmap_HashMap_move_elements_loop t ntable slots i in + 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 *) let hashmap_HashMap_try_resize (t : Type0) (self : hashmap_HashMap_t t) : result (hashmap_HashMap_t t) = let* max_usize = scalar_cast U32 Usize core_u32_max in let capacity = alloc_vec_Vec_len (hashmap_List_t t) self.slots in let* n1 = usize_div max_usize 2 in - let (i, i0) = self.max_load_factor in - let* i1 = usize_div n1 i in - if capacity <= i1 + let (i, i1) = self.max_load_factor in + let* i2 = usize_div n1 i in + if capacity <= i2 then - let* i2 = usize_mul capacity 2 in - let* ntable = hashmap_HashMap_new_with_capacity t i2 i i0 in - let* (ntable0, _) = hashmap_HashMap_move_elements t ntable self.slots 0 in + let* i3 = usize_mul capacity 2 in + let* ntable = hashmap_HashMap_new_with_capacity t i3 i i1 in + let* p = hashmap_HashMap_move_elements t ntable self.slots 0 in + let (ntable1, _) = p in Return - { ntable0 with num_entries = self.num_entries; max_load_factor = (i, i0) + { ntable1 with num_entries = self.num_entries; max_load_factor = (i, i1) } - else Return { self with max_load_factor = (i, i0) } + else Return { self with max_load_factor = (i, i1) } -(** [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 *) let hashmap_HashMap_insert (t : Type0) (self : hashmap_HashMap_t t) (key : usize) (value : t) : result (hashmap_HashMap_t t) = - let* self0 = hashmap_HashMap_insert_no_resize t self key value in - let* i = hashmap_HashMap_len t self0 in - if i > self0.max_load - then hashmap_HashMap_try_resize t self0 - else Return self0 + let* hm = hashmap_HashMap_insert_no_resize t self key value in + let* i = hashmap_HashMap_len t hm in + if i > hm.max_load then hashmap_HashMap_try_resize t 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 *) let rec hashmap_HashMap_contains_key_in_list_loop (t : Type0) (key : usize) (ls : hashmap_List_t t) : @@ -275,20 +235,20 @@ let rec hashmap_HashMap_contains_key_in_list_loop (decreases (hashmap_HashMap_contains_key_in_list_loop_decreases t key ls)) = begin match ls with - | Hashmap_List_Cons ckey x tl -> + | Hashmap_List_Cons ckey _ tl -> if ckey = key then Return true else hashmap_HashMap_contains_key_in_list_loop t key tl | Hashmap_List_Nil -> Return false 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 *) let hashmap_HashMap_contains_key_in_list (t : Type0) (key : usize) (ls : hashmap_List_t t) : result bool = hashmap_HashMap_contains_key_in_list_loop t 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 *) let hashmap_HashMap_contains_key (t : Type0) (self : hashmap_HashMap_t t) (key : usize) : result bool = @@ -301,7 +261,7 @@ let hashmap_HashMap_contains_key self.slots hash_mod in hashmap_HashMap_contains_key_in_list t 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 *) let rec hashmap_HashMap_get_in_list_loop (t : Type0) (key : usize) (ls : hashmap_List_t t) : @@ -316,13 +276,13 @@ let rec hashmap_HashMap_get_in_list_loop | Hashmap_List_Nil -> Fail Failure 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 *) let hashmap_HashMap_get_in_list (t : Type0) (key : usize) (ls : hashmap_List_t t) : result t = hashmap_HashMap_get_in_list_loop t 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 *) let hashmap_HashMap_get (t : Type0) (self : hashmap_HashMap_t t) (key : usize) : result t = @@ -335,241 +295,161 @@ let hashmap_HashMap_get self.slots hash_mod in hashmap_HashMap_get_in_list t 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 *) let rec hashmap_HashMap_get_mut_in_list_loop (t : Type0) (ls : hashmap_List_t t) (key : usize) : - Tot (result t) - (decreases (hashmap_HashMap_get_mut_in_list_loop_decreases t ls key)) - = - begin match ls with - | Hashmap_List_Cons ckey cvalue tl -> - if ckey = key - then Return cvalue - else hashmap_HashMap_get_mut_in_list_loop t tl key - | Hashmap_List_Nil -> Fail Failure - end - -(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::get_mut_in_list]: forward function - Source: 'src/hashmap.rs', lines 245:4-245:86 *) -let hashmap_HashMap_get_mut_in_list - (t : Type0) (ls : hashmap_List_t t) (key : usize) : result t = - hashmap_HashMap_get_mut_in_list_loop t 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 *) -let rec hashmap_HashMap_get_mut_in_list_loop_back - (t : Type0) (ls : hashmap_List_t t) (key : usize) (ret : t) : - Tot (result (hashmap_List_t t)) + Tot (result (t & (t -> result (hashmap_List_t t)))) (decreases (hashmap_HashMap_get_mut_in_list_loop_decreases t ls key)) = begin match ls with | Hashmap_List_Cons ckey cvalue tl -> if ckey = key - then Return (Hashmap_List_Cons ckey ret tl) + then + let back_'a = fun ret -> Return (Hashmap_List_Cons ckey ret tl) in + Return (cvalue, back_'a) else - let* tl0 = hashmap_HashMap_get_mut_in_list_loop_back t tl key ret in - Return (Hashmap_List_Cons ckey cvalue tl0) + let* (x, back_'a) = hashmap_HashMap_get_mut_in_list_loop t tl key in + let back_'a1 = + fun ret -> + let* tl1 = back_'a ret in Return (Hashmap_List_Cons ckey cvalue tl1) + in + Return (x, back_'a1) | Hashmap_List_Nil -> Fail Failure 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 *) -let hashmap_HashMap_get_mut_in_list_back - (t : Type0) (ls : hashmap_List_t t) (key : usize) (ret : t) : - result (hashmap_List_t t) +let hashmap_HashMap_get_mut_in_list + (t : Type0) (ls : hashmap_List_t t) (key : usize) : + result (t & (t -> result (hashmap_List_t t))) = - hashmap_HashMap_get_mut_in_list_loop_back t ls key ret + let* (x, back_'a) = hashmap_HashMap_get_mut_in_list_loop t ls key in + Return (x, 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 *) let hashmap_HashMap_get_mut - (t : Type0) (self : hashmap_HashMap_t t) (key : usize) : result t = - let* hash = hashmap_hash_key key in - let i = alloc_vec_Vec_len (hashmap_List_t t) self.slots in - let* hash_mod = usize_rem hash i in - let* l = - alloc_vec_Vec_index_mut (hashmap_List_t t) usize - (core_slice_index_SliceIndexUsizeSliceTInst (hashmap_List_t t)) - self.slots hash_mod in - hashmap_HashMap_get_mut_in_list t l key - -(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::get_mut]: backward function 0 - Source: 'src/hashmap.rs', lines 257:4-257:67 *) -let hashmap_HashMap_get_mut_back - (t : Type0) (self : hashmap_HashMap_t t) (key : usize) (ret : t) : - result (hashmap_HashMap_t t) + (t : Type0) (self : hashmap_HashMap_t t) (key : usize) : + result (t & (t -> result (hashmap_HashMap_t t))) = let* hash = hashmap_hash_key key in let i = alloc_vec_Vec_len (hashmap_List_t t) self.slots in let* hash_mod = usize_rem hash i in - let* l = + let* (l, index_mut_back) = alloc_vec_Vec_index_mut (hashmap_List_t t) usize (core_slice_index_SliceIndexUsizeSliceTInst (hashmap_List_t t)) self.slots hash_mod in - let* l0 = hashmap_HashMap_get_mut_in_list_back t l key ret in - let* v = - alloc_vec_Vec_index_mut_back (hashmap_List_t t) usize - (core_slice_index_SliceIndexUsizeSliceTInst (hashmap_List_t t)) - self.slots hash_mod l0 in - Return { self with slots = v } - -(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::remove_from_list]: loop 0: forward function + let* (x, get_mut_in_list_back) = hashmap_HashMap_get_mut_in_list t l key in + let back_'a = + fun ret -> + let* l1 = get_mut_in_list_back ret in + let* v = index_mut_back l1 in + Return { self with slots = v } in + Return (x, back_'a) + +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::remove_from_list]: loop 0: Source: 'src/hashmap.rs', lines 265:4-291:5 *) let rec hashmap_HashMap_remove_from_list_loop (t : Type0) (key : usize) (ls : hashmap_List_t t) : - Tot (result (option t)) + Tot (result ((option t) & (hashmap_List_t t))) (decreases (hashmap_HashMap_remove_from_list_loop_decreases t key ls)) = begin match ls with | Hashmap_List_Cons ckey x tl -> if ckey = key then - let mv_ls = + let (mv_ls, _) = core_mem_replace (hashmap_List_t t) (Hashmap_List_Cons ckey x tl) Hashmap_List_Nil in begin match mv_ls with - | Hashmap_List_Cons i cvalue tl0 -> Return (Some cvalue) - | Hashmap_List_Nil -> Fail Failure - end - else hashmap_HashMap_remove_from_list_loop t key tl - | Hashmap_List_Nil -> Return None - end - -(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::remove_from_list]: forward function - Source: 'src/hashmap.rs', lines 265:4-265:69 *) -let hashmap_HashMap_remove_from_list - (t : Type0) (key : usize) (ls : hashmap_List_t t) : result (option t) = - hashmap_HashMap_remove_from_list_loop t 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 *) -let rec hashmap_HashMap_remove_from_list_loop_back - (t : Type0) (key : usize) (ls : hashmap_List_t t) : - Tot (result (hashmap_List_t t)) - (decreases (hashmap_HashMap_remove_from_list_loop_decreases t key ls)) - = - begin match ls with - | Hashmap_List_Cons ckey x tl -> - if ckey = key - then - let mv_ls = - core_mem_replace (hashmap_List_t t) (Hashmap_List_Cons ckey x tl) - Hashmap_List_Nil in - begin match mv_ls with - | Hashmap_List_Cons i cvalue tl0 -> Return tl0 + | Hashmap_List_Cons _ cvalue tl1 -> Return (Some cvalue, tl1) | Hashmap_List_Nil -> Fail Failure end else - let* tl0 = hashmap_HashMap_remove_from_list_loop_back t key tl in - Return (Hashmap_List_Cons ckey x tl0) - | Hashmap_List_Nil -> Return Hashmap_List_Nil + let* (o, back) = hashmap_HashMap_remove_from_list_loop t key tl in + Return (o, Hashmap_List_Cons ckey x back) + | Hashmap_List_Nil -> Return (None, Hashmap_List_Nil) end -(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::remove_from_list]: backward function 1 +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::remove_from_list]: Source: 'src/hashmap.rs', lines 265:4-265:69 *) -let hashmap_HashMap_remove_from_list_back +let hashmap_HashMap_remove_from_list (t : Type0) (key : usize) (ls : hashmap_List_t t) : - result (hashmap_List_t t) + result ((option t) & (hashmap_List_t t)) = - hashmap_HashMap_remove_from_list_loop_back t key ls + hashmap_HashMap_remove_from_list_loop t 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 *) let hashmap_HashMap_remove - (t : Type0) (self : hashmap_HashMap_t t) (key : usize) : result (option t) = - let* hash = hashmap_hash_key key in - let i = alloc_vec_Vec_len (hashmap_List_t t) self.slots in - let* hash_mod = usize_rem hash i in - let* l = - alloc_vec_Vec_index_mut (hashmap_List_t t) usize - (core_slice_index_SliceIndexUsizeSliceTInst (hashmap_List_t t)) - self.slots hash_mod in - let* x = hashmap_HashMap_remove_from_list t key l in - begin match x with - | None -> Return None - | Some x0 -> let* _ = usize_sub self.num_entries 1 in 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 *) -let hashmap_HashMap_remove_back (t : Type0) (self : hashmap_HashMap_t t) (key : usize) : - result (hashmap_HashMap_t t) + result ((option t) & (hashmap_HashMap_t t)) = let* hash = hashmap_hash_key key in let i = alloc_vec_Vec_len (hashmap_List_t t) self.slots in let* hash_mod = usize_rem hash i in - let* l = + let* (l, index_mut_back) = alloc_vec_Vec_index_mut (hashmap_List_t t) usize (core_slice_index_SliceIndexUsizeSliceTInst (hashmap_List_t t)) self.slots hash_mod in - let* x = hashmap_HashMap_remove_from_list t key l in + let* (x, l1) = hashmap_HashMap_remove_from_list t key l in begin match x with | None -> - let* l0 = hashmap_HashMap_remove_from_list_back t key l in - let* v = - alloc_vec_Vec_index_mut_back (hashmap_List_t t) usize - (core_slice_index_SliceIndexUsizeSliceTInst (hashmap_List_t t)) - self.slots hash_mod l0 in - Return { self with slots = v } - | Some x0 -> - let* i0 = usize_sub self.num_entries 1 in - let* l0 = hashmap_HashMap_remove_from_list_back t key l in - let* v = - alloc_vec_Vec_index_mut_back (hashmap_List_t t) usize - (core_slice_index_SliceIndexUsizeSliceTInst (hashmap_List_t t)) - self.slots hash_mod l0 in - Return { self with num_entries = i0; slots = v } + let* v = index_mut_back l1 in Return (None, { self with slots = v }) + | Some x1 -> + let* i1 = usize_sub self.num_entries 1 in + let* v = index_mut_back l1 in + Return (Some x1, { self with num_entries = i1; slots = v }) end -(** [hashmap_main::hashmap::test1]: forward function +(** [hashmap_main::hashmap::test1]: Source: 'src/hashmap.rs', lines 315:0-315:10 *) let hashmap_test1 : result unit = let* hm = hashmap_HashMap_new u64 in - let* hm0 = hashmap_HashMap_insert u64 hm 0 42 in - let* hm1 = hashmap_HashMap_insert u64 hm0 128 18 in - let* hm2 = hashmap_HashMap_insert u64 hm1 1024 138 in - let* hm3 = hashmap_HashMap_insert u64 hm2 1056 256 in - let* i = hashmap_HashMap_get u64 hm3 128 in + let* hm1 = hashmap_HashMap_insert u64 hm 0 42 in + let* hm2 = hashmap_HashMap_insert u64 hm1 128 18 in + let* hm3 = hashmap_HashMap_insert u64 hm2 1024 138 in + let* hm4 = hashmap_HashMap_insert u64 hm3 1056 256 in + let* i = hashmap_HashMap_get u64 hm4 128 in if not (i = 18) then Fail Failure else - let* hm4 = hashmap_HashMap_get_mut_back u64 hm3 1024 56 in - let* i0 = hashmap_HashMap_get u64 hm4 1024 in - if not (i0 = 56) + let* (_, get_mut_back) = hashmap_HashMap_get_mut u64 hm4 1024 in + let* hm5 = get_mut_back 56 in + let* i1 = hashmap_HashMap_get u64 hm5 1024 in + if not (i1 = 56) then Fail Failure else - let* x = hashmap_HashMap_remove u64 hm4 1024 in + let* (x, hm6) = hashmap_HashMap_remove u64 hm5 1024 in begin match x with | None -> Fail Failure - | Some x0 -> - if not (x0 = 56) + | Some x1 -> + if not (x1 = 56) then Fail Failure else - let* hm5 = hashmap_HashMap_remove_back u64 hm4 1024 in - let* i1 = hashmap_HashMap_get u64 hm5 0 in - if not (i1 = 42) + let* i2 = hashmap_HashMap_get u64 hm6 0 in + if not (i2 = 42) then Fail Failure else - let* i2 = hashmap_HashMap_get u64 hm5 128 in - if not (i2 = 18) + let* i3 = hashmap_HashMap_get u64 hm6 128 in + if not (i3 = 18) then Fail Failure else - let* i3 = hashmap_HashMap_get u64 hm5 1056 in - if not (i3 = 256) then Fail Failure else Return () + let* i4 = hashmap_HashMap_get u64 hm6 1056 in + if not (i4 = 256) then Fail Failure else Return () end -(** [hashmap_main::insert_on_disk]: forward function +(** [hashmap_main::insert_on_disk]: Source: 'src/hashmap_main.rs', lines 7:0-7:43 *) let insert_on_disk (key : usize) (value : u64) (st : state) : result (state & unit) = - let* (st0, hm) = hashmap_utils_deserialize st in - let* hm0 = hashmap_HashMap_insert u64 hm key value in - let* (st1, _) = hashmap_utils_serialize hm0 st0 in - Return (st1, ()) + let* (st1, hm) = hashmap_utils_deserialize st in + let* hm1 = hashmap_HashMap_insert u64 hm key value in + let* (st2, _) = hashmap_utils_serialize hm1 st1 in + Return (st2, ()) -(** [hashmap_main::main]: forward function +(** [hashmap_main::main]: Source: 'src/hashmap_main.rs', lines 16:0-16:13 *) let main : result unit = Return () diff --git a/tests/fstar/hashmap_on_disk/HashmapMain.FunsExternal.fsti b/tests/fstar/hashmap_on_disk/HashmapMain.FunsExternal.fsti index b00bbcde..50a6509f 100644 --- a/tests/fstar/hashmap_on_disk/HashmapMain.FunsExternal.fsti +++ b/tests/fstar/hashmap_on_disk/HashmapMain.FunsExternal.fsti @@ -6,12 +6,12 @@ include HashmapMain.Types #set-options "--z3rlimit 50 --fuel 1 --ifuel 1" -(** [hashmap_main::hashmap_utils::deserialize]: forward function +(** [hashmap_main::hashmap_utils::deserialize]: Source: 'src/hashmap_utils.rs', lines 10:0-10:43 *) val 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 *) val hashmap_utils_serialize : hashmap_HashMap_t u64 -> state -> result (state & unit) diff --git a/tests/fstar/hashmap_on_disk/Primitives.fst b/tests/fstar/hashmap_on_disk/Primitives.fst index a3ffbde4..fca80829 100644 --- a/tests/fstar/hashmap_on_disk/Primitives.fst +++ b/tests/fstar/hashmap_on_disk/Primitives.fst @@ -55,8 +55,7 @@ type string = string let is_zero (n: nat) : bool = n = 0 let decrease (n: nat{n > 0}) : nat = n - 1 -let core_mem_replace (a : Type0) (x : a) (y : a) : a = x -let core_mem_replace_back (a : Type0) (x : a) (y : a) : a = y +let core_mem_replace (a : Type0) (x : a) (y : a) : a & a = (x, x) // We don't really use raw pointers for now type mut_raw_ptr (t : Type0) = { v : t } @@ -477,8 +476,7 @@ noeq type core_ops_index_Index (self idx : Type0) = { // Trait declaration: [core::ops::index::IndexMut] noeq type core_ops_index_IndexMut (self idx : Type0) = { indexInst : core_ops_index_Index self idx; - index_mut : self → idx → result indexInst.output; - index_mut_back : self → idx → indexInst.output → result self; + index_mut : self → idx → result (indexInst.output & (indexInst.output → result self)); } // Trait declaration [core::ops::deref::Deref] @@ -490,8 +488,7 @@ noeq type core_ops_deref_Deref (self : Type0) = { // Trait declaration [core::ops::deref::DerefMut] noeq type core_ops_deref_DerefMut (self : Type0) = { derefInst : core_ops_deref_Deref self; - deref_mut : self → result derefInst.target; - deref_mut_back : self → derefInst.target → result self; + deref_mut : self → result (derefInst.target & (derefInst.target → result self)); } type core_ops_range_Range (a : Type0) = { @@ -502,8 +499,8 @@ type core_ops_range_Range (a : Type0) = { (*** [alloc] *) let alloc_boxed_Box_deref (t : Type0) (x : t) : result t = Return x -let alloc_boxed_Box_deref_mut (t : Type0) (x : t) : result t = Return x -let alloc_boxed_Box_deref_mut_back (t : Type) (_ : t) (x : t) : result t = Return x +let alloc_boxed_Box_deref_mut (t : Type0) (x : t) : result (t & (t -> result t)) = + Return (x, (fun x -> Return x)) // Trait instance let alloc_boxed_Box_coreopsDerefInst (self : Type0) : core_ops_deref_Deref self = { @@ -515,7 +512,6 @@ let alloc_boxed_Box_coreopsDerefInst (self : Type0) : core_ops_deref_Deref self let alloc_boxed_Box_coreopsDerefMutInst (self : Type0) : core_ops_deref_DerefMut self = { derefInst = alloc_boxed_Box_coreopsDerefInst self; deref_mut = alloc_boxed_Box_deref_mut self; - deref_mut_back = alloc_boxed_Box_deref_mut_back self; } (*** Array *) @@ -535,10 +531,18 @@ let array_index_usize (a : Type0) (n : usize) (x : array a n) (i : usize) : resu if i < length x then Return (index x i) else Fail Failure -let array_update_usize (a : Type0) (n : usize) (x : array a n) (i : usize) (nx : a) : result (array a n) = +let array_update_usize (a : Type0) (n : usize) (x : array a n) (i : usize) (nx : a) : + result (array a n) = if i < length x then Return (list_update x i nx) else Fail Failure +let array_index_mut_usize (a : Type0) (n : usize) (x : array a n) (i : usize) : + result (a & (a -> result (array a n))) = + match array_index_usize a n x i with + | Fail e -> Fail e + | Return v -> + Return (v, array_update_usize a n x i) + (*** Slice *) type slice (a : Type0) = s:list a{length s <= usize_max} @@ -552,6 +556,13 @@ let slice_update_usize (a : Type0) (x : slice a) (i : usize) (nx : a) : result ( if i < length x then Return (list_update x i nx) else Fail Failure +let slice_index_mut_usize (a : Type0) (s : slice a) (i : usize) : + result (a & (a -> result (slice a))) = + match slice_index_usize a s i with + | Fail e -> Fail e + | Return x -> + Return (x, slice_update_usize a s i) + (*** Subslices *) let array_to_slice (a : Type0) (n : usize) (x : array a n) : result (slice a) = Return x @@ -559,6 +570,10 @@ let array_from_slice (a : Type0) (n : usize) (x : array a n) (s : slice a) : res if length s = n then Return s else Fail Failure +let array_to_slice_mut (a : Type0) (n : usize) (x : array a n) : + result (slice a & (slice a -> result (array a n))) = + Return (x, array_from_slice a n x) + // TODO: finish the definitions below (there lacks [List.drop] and [List.take] in the standard library *) let array_subslice (a : Type0) (n : usize) (x : array a n) (r : core_ops_range_Range usize) : result (slice a) = admit() @@ -588,8 +603,13 @@ let alloc_vec_Vec_index_usize (#a : Type0) (v : alloc_vec_Vec a) (i : usize) : r let alloc_vec_Vec_update_usize (#a : Type0) (v : alloc_vec_Vec a) (i : usize) (x : a) : result (alloc_vec_Vec a) = if i < length v then Return (list_update v i x) else Fail Failure -// The **forward** function shouldn't be used -let alloc_vec_Vec_push_fwd (a : Type0) (v : alloc_vec_Vec a) (x : a) : unit = () +let alloc_vec_Vec_index_mut_usize (#a : Type0) (v: alloc_vec_Vec a) (i: usize) : + result (a & (a → result (alloc_vec_Vec a))) = + match alloc_vec_Vec_index_usize v i with + | Return x -> + Return (x, alloc_vec_Vec_update_usize v i) + | Fail e -> Fail e + let alloc_vec_Vec_push (a : Type0) (v : alloc_vec_Vec a) (x : a) : Pure (result (alloc_vec_Vec a)) (requires True) @@ -605,9 +625,6 @@ let alloc_vec_Vec_push (a : Type0) (v : alloc_vec_Vec a) (x : a) : end else Fail Failure -// The **forward** function shouldn't be used -let alloc_vec_Vec_insert_fwd (a : Type0) (v : alloc_vec_Vec a) (i : usize) (x : a) : result unit = - if i < length v then Return () else Fail Failure let alloc_vec_Vec_insert (a : Type0) (v : alloc_vec_Vec a) (i : usize) (x : a) : result (alloc_vec_Vec a) = if i < length v then Return (list_update v i x) else Fail Failure @@ -619,13 +636,11 @@ noeq type core_slice_index_SliceIndex (self t : Type0) = { sealedInst : core_slice_index_private_slice_index_Sealed self; output : Type0; get : self → t → result (option output); - get_mut : self → t → result (option output); - get_mut_back : self → t → option output → result t; + get_mut : self → t → result (option output & (option output -> result t)); get_unchecked : self → const_raw_ptr t → result (const_raw_ptr output); get_unchecked_mut : self → mut_raw_ptr t → result (mut_raw_ptr output); index : self → t → result output; - index_mut : self → t → result output; - index_mut_back : self → t → output → result t; + index_mut : self → t → result (output & (output -> result t)); } // [core::slice::index::[T]::index]: forward function @@ -643,14 +658,8 @@ let core_slice_index_RangeUsize_get (t : Type0) (i : core_ops_range_Range usize) admit () // TODO // [core::slice::index::Range::get_mut]: forward function -let core_slice_index_RangeUsize_get_mut - (t : Type0) : core_ops_range_Range usize → slice t → result (option (slice t)) = - admit () // TODO - -// [core::slice::index::Range::get_mut]: backward function 0 -let core_slice_index_RangeUsize_get_mut_back - (t : Type0) : - core_ops_range_Range usize → slice t → option (slice t) → result (slice t) = +let core_slice_index_RangeUsize_get_mut (t : Type0) : + core_ops_range_Range usize → slice t → result (option (slice t) & (option (slice t) -> result (slice t))) = admit () // TODO // [core::slice::index::Range::get_unchecked]: forward function @@ -675,27 +684,16 @@ let core_slice_index_RangeUsize_index admit () // TODO // [core::slice::index::Range::index_mut]: forward function -let core_slice_index_RangeUsize_index_mut - (t : Type0) : core_ops_range_Range usize → slice t → result (slice t) = - admit () // TODO - -// [core::slice::index::Range::index_mut]: backward function 0 -let core_slice_index_RangeUsize_index_mut_back - (t : Type0) : core_ops_range_Range usize → slice t → slice t → result (slice t) = +let core_slice_index_RangeUsize_index_mut (t : Type0) : + core_ops_range_Range usize → slice t → result (slice t & (slice t -> result (slice t))) = admit () // TODO // [core::slice::index::[T]::index_mut]: forward function let core_slice_index_Slice_index_mut (t idx : Type0) (inst : core_slice_index_SliceIndex idx (slice t)) : - slice t → idx → result inst.output = + slice t → idx → result (inst.output & (inst.output -> result (slice t))) = admit () // -// [core::slice::index::[T]::index_mut]: backward function 0 -let core_slice_index_Slice_index_mut_back - (t idx : Type0) (inst : core_slice_index_SliceIndex idx (slice t)) : - slice t → idx → inst.output → result (slice t) = - admit () // TODO - // [core::array::[T; N]::index]: forward function let core_array_Array_index (t idx : Type0) (n : usize) (inst : core_ops_index_Index (slice t) idx) @@ -705,13 +703,8 @@ let core_array_Array_index // [core::array::[T; N]::index_mut]: forward function let core_array_Array_index_mut (t idx : Type0) (n : usize) (inst : core_ops_index_IndexMut (slice t) idx) - (a : array t n) (i : idx) : result inst.indexInst.output = - admit () // TODO - -// [core::array::[T; N]::index_mut]: backward function 0 -let core_array_Array_index_mut_back - (t idx : Type0) (n : usize) (inst : core_ops_index_IndexMut (slice t) idx) - (a : array t n) (i : idx) (x : inst.indexInst.output) : result (array t n) = + (a : array t n) (i : idx) : + result (inst.indexInst.output & (inst.indexInst.output -> result (array t n))) = admit () // TODO // Trait implementation: [core::slice::index::private_slice_index::Range] @@ -725,12 +718,10 @@ let core_slice_index_SliceIndexRangeUsizeSliceTInst (t : Type0) : output = slice t; get = core_slice_index_RangeUsize_get t; get_mut = core_slice_index_RangeUsize_get_mut t; - get_mut_back = core_slice_index_RangeUsize_get_mut_back t; get_unchecked = core_slice_index_RangeUsize_get_unchecked t; get_unchecked_mut = core_slice_index_RangeUsize_get_unchecked_mut t; index = core_slice_index_RangeUsize_index t; index_mut = core_slice_index_RangeUsize_index_mut t; - index_mut_back = core_slice_index_RangeUsize_index_mut_back t; } // Trait implementation: [core::slice::index::[T]] @@ -747,7 +738,6 @@ let core_ops_index_IndexMutSliceTIInst (t idx : Type0) core_ops_index_IndexMut (slice t) idx = { indexInst = core_ops_index_IndexSliceTIInst t idx inst; index_mut = core_slice_index_Slice_index_mut t idx inst; - index_mut_back = core_slice_index_Slice_index_mut_back t idx inst; } // Trait implementation: [core::array::[T; N]] @@ -764,7 +754,6 @@ let core_ops_index_IndexMutArrayIInst (t idx : Type0) (n : usize) core_ops_index_IndexMut (array t n) idx = { indexInst = core_ops_index_IndexArrayInst t idx n inst.indexInst; index_mut = core_array_Array_index_mut t idx n inst; - index_mut_back = core_array_Array_index_mut_back t idx n inst; } // [core::slice::index::usize::get]: forward function @@ -773,13 +762,8 @@ let core_slice_index_usize_get admit () // TODO // [core::slice::index::usize::get_mut]: forward function -let core_slice_index_usize_get_mut - (t : Type0) : usize → slice t → result (option t) = - admit () // TODO - -// [core::slice::index::usize::get_mut]: backward function 0 -let core_slice_index_usize_get_mut_back - (t : Type0) : usize → slice t → option t → result (slice t) = +let core_slice_index_usize_get_mut (t : Type0) : + usize → slice t → result (option t & (option t -> result (slice t))) = admit () // TODO // [core::slice::index::usize::get_unchecked]: forward function @@ -797,12 +781,8 @@ let core_slice_index_usize_index (t : Type0) : usize → slice t → result t = admit () // TODO // [core::slice::index::usize::index_mut]: forward function -let core_slice_index_usize_index_mut (t : Type0) : usize → slice t → result t = - admit () // TODO - -// [core::slice::index::usize::index_mut]: backward function 0 -let core_slice_index_usize_index_mut_back - (t : Type0) : usize → slice t → t → result (slice t) = +let core_slice_index_usize_index_mut (t : Type0) : + usize → slice t → result (t & (t -> result (slice t))) = admit () // TODO // Trait implementation: [core::slice::index::private_slice_index::usize] @@ -816,12 +796,10 @@ let core_slice_index_SliceIndexUsizeSliceTInst (t : Type0) : output = t; get = core_slice_index_usize_get t; get_mut = core_slice_index_usize_get_mut t; - get_mut_back = core_slice_index_usize_get_mut_back t; get_unchecked = core_slice_index_usize_get_unchecked t; get_unchecked_mut = core_slice_index_usize_get_unchecked_mut t; index = core_slice_index_usize_index t; index_mut = core_slice_index_usize_index_mut t; - index_mut_back = core_slice_index_usize_index_mut_back t; } // [alloc::vec::Vec::index]: forward function @@ -831,13 +809,8 @@ let alloc_vec_Vec_index (t idx : Type0) (inst : core_slice_index_SliceIndex idx // [alloc::vec::Vec::index_mut]: forward function let alloc_vec_Vec_index_mut (t idx : Type0) (inst : core_slice_index_SliceIndex idx (slice t)) - (self : alloc_vec_Vec t) (i : idx) : result inst.output = - admit () // TODO - -// [alloc::vec::Vec::index_mut]: backward function 0 -let alloc_vec_Vec_index_mut_back - (t idx : Type0) (inst : core_slice_index_SliceIndex idx (slice t)) - (self : alloc_vec_Vec t) (i : idx) (x : inst.output) : result (alloc_vec_Vec t) = + (self : alloc_vec_Vec t) (i : idx) : + result (inst.output & (inst.output -> result (alloc_vec_Vec t))) = admit () // TODO // Trait implementation: [alloc::vec::Vec] @@ -854,7 +827,6 @@ let alloc_vec_Vec_coreopsindexIndexMutInst (t idx : Type0) core_ops_index_IndexMut (alloc_vec_Vec t) idx = { indexInst = alloc_vec_Vec_coreopsindexIndexInst t idx inst; index_mut = alloc_vec_Vec_index_mut t idx inst; - index_mut_back = alloc_vec_Vec_index_mut_back t idx inst; } (*** Theorems *) @@ -870,15 +842,7 @@ let alloc_vec_Vec_index_eq (#a : Type0) (v : alloc_vec_Vec a) (i : usize) : let alloc_vec_Vec_index_mut_eq (#a : Type0) (v : alloc_vec_Vec a) (i : usize) : Lemma ( alloc_vec_Vec_index_mut a usize (core_slice_index_SliceIndexUsizeSliceTInst a) v i == - alloc_vec_Vec_index_usize v i) + alloc_vec_Vec_index_mut_usize v i) [SMTPat (alloc_vec_Vec_index_mut a usize (core_slice_index_SliceIndexUsizeSliceTInst a) v i)] = admit() - -let alloc_vec_Vec_index_mut_back_eq (#a : Type0) (v : alloc_vec_Vec a) (i : usize) (x : a) : - Lemma ( - alloc_vec_Vec_index_mut_back a usize (core_slice_index_SliceIndexUsizeSliceTInst a) v i x == - alloc_vec_Vec_update_usize v i x) - [SMTPat (alloc_vec_Vec_index_mut_back a usize (core_slice_index_SliceIndexUsizeSliceTInst a) v i x)] - = - admit() diff --git a/tests/fstar/misc/Bitwise.fst b/tests/fstar/misc/Bitwise.fst index d7ba2c57..7330f07a 100644 --- a/tests/fstar/misc/Bitwise.fst +++ b/tests/fstar/misc/Bitwise.fst @@ -5,27 +5,27 @@ open Primitives #set-options "--z3rlimit 50 --fuel 1 --ifuel 1" -(** [bitwise::shift_u32]: forward function +(** [bitwise::shift_u32]: Source: 'src/bitwise.rs', lines 3:0-3:31 *) let shift_u32 (a : u32) : result u32 = let* t = u32_shr #Usize a 16 in u32_shl #Usize t 16 -(** [bitwise::shift_i32]: forward function +(** [bitwise::shift_i32]: Source: 'src/bitwise.rs', lines 10:0-10:31 *) let shift_i32 (a : i32) : result i32 = let* t = i32_shr #Isize a 16 in i32_shl #Isize t 16 -(** [bitwise::xor_u32]: forward function +(** [bitwise::xor_u32]: Source: 'src/bitwise.rs', lines 17:0-17:37 *) let 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 *) let 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 *) let and_u32 (a : u32) (b : u32) : result u32 = Return (u32_and a b) diff --git a/tests/fstar/misc/Constants.fst b/tests/fstar/misc/Constants.fst index daeefbb0..7bf42b46 100644 --- a/tests/fstar/misc/Constants.fst +++ b/tests/fstar/misc/Constants.fst @@ -20,7 +20,7 @@ let x1_c : u32 = eval_global x1_body let x2_body : result u32 = Return 3 let x2_c : u32 = eval_global x2_body -(** [constants::incr]: forward function +(** [constants::incr]: Source: 'src/constants.rs', lines 17:0-17:32 *) let incr (n : u32) : result u32 = u32_add n 1 @@ -30,7 +30,7 @@ let incr (n : u32) : result u32 = let x3_body : result u32 = incr 32 let x3_c : u32 = eval_global x3_body -(** [constants::mk_pair0]: forward function +(** [constants::mk_pair0]: Source: 'src/constants.rs', lines 23:0-23:51 *) let mk_pair0 (x : u32) (y : u32) : result (u32 & u32) = Return (x, y) @@ -39,7 +39,7 @@ let mk_pair0 (x : u32) (y : u32) : result (u32 & u32) = Source: 'src/constants.rs', lines 36:0-36:23 *) type pair_t (t1 t2 : Type0) = { x : t1; y : t2; } -(** [constants::mk_pair1]: forward function +(** [constants::mk_pair1]: Source: 'src/constants.rs', lines 27:0-27:55 *) let mk_pair1 (x : u32) (y : u32) : result (pair_t u32 u32) = Return { x = x; y = y } @@ -68,7 +68,7 @@ let p3_c : pair_t u32 u32 = eval_global p3_body Source: 'src/constants.rs', lines 49:0-49:18 *) type wrap_t (t : Type0) = { value : t; } -(** [constants::{constants::Wrap<T>}::new]: forward function +(** [constants::{constants::Wrap<T>}::new]: Source: 'src/constants.rs', lines 54:4-54:41 *) let wrap_new (t : Type0) (value : t) : result (wrap_t t) = Return { value = value } @@ -78,7 +78,7 @@ let wrap_new (t : Type0) (value : t) : result (wrap_t t) = let y_body : result (wrap_t i32) = wrap_new i32 2 let y_c : wrap_t i32 = eval_global y_body -(** [constants::unwrap_y]: forward function +(** [constants::unwrap_y]: Source: 'src/constants.rs', lines 43:0-43:30 *) let unwrap_y : result i32 = Return y_c.value @@ -93,12 +93,12 @@ let yval_c : i32 = eval_global yval_body let get_z1_z1_body : result i32 = Return 3 let get_z1_z1_c : i32 = eval_global get_z1_z1_body -(** [constants::get_z1]: forward function +(** [constants::get_z1]: Source: 'src/constants.rs', lines 61:0-61:28 *) let get_z1 : result i32 = Return get_z1_z1_c -(** [constants::add]: forward function +(** [constants::add]: Source: 'src/constants.rs', lines 66:0-66:39 *) let add (a : i32) (b : i32) : result i32 = i32_add a b @@ -118,10 +118,10 @@ let q2_c : i32 = eval_global q2_body let q3_body : result i32 = add q2_c 3 let q3_c : i32 = eval_global q3_body -(** [constants::get_z2]: forward function +(** [constants::get_z2]: Source: 'src/constants.rs', lines 70:0-70:28 *) let get_z2 : result i32 = - let* i = get_z1 in let* i0 = add i q3_c in add q1_c i0 + let* i = get_z1 in let* i1 = add i q3_c in add q1_c i1 (** [constants::S1] Source: 'src/constants.rs', lines 80:0-80:18 *) diff --git a/tests/fstar/misc/External.Funs.fst b/tests/fstar/misc/External.Funs.fst index 00995634..6672b523 100644 --- a/tests/fstar/misc/External.Funs.fst +++ b/tests/fstar/misc/External.Funs.fst @@ -7,78 +7,48 @@ include External.FunsExternal #set-options "--z3rlimit 50 --fuel 1 --ifuel 1" -(** [external::swap]: forward function +(** [external::swap]: Source: 'src/external.rs', lines 6:0-6:46 *) -let swap (t : Type0) (x : t) (y : t) (st : state) : result (state & unit) = - let* (st0, _) = core_mem_swap t x y st in - let* (st1, _) = core_mem_swap_back0 t x y st st0 in - let* (st2, _) = core_mem_swap_back1 t x y st st1 in - Return (st2, ()) +let swap (t : Type0) (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 *) -let swap_back - (t : Type0) (x : t) (y : t) (st : state) (st0 : state) : - result (state & (t & t)) - = - let* (st1, _) = core_mem_swap t x y st in - let* (st2, x0) = core_mem_swap_back0 t x y st st1 in - let* (_, y0) = core_mem_swap_back1 t x y st st2 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 *) let test_new_non_zero_u32 (x : u32) (st : state) : result (state & core_num_nonzero_NonZeroU32_t) = - let* (st0, o) = core_num_nonzero_NonZeroU32_new x st in - core_option_Option_unwrap core_num_nonzero_NonZeroU32_t o st0 + let* (st1, o) = core_num_nonzero_NonZeroU32_new x st 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 *) let test_vec : result unit = - let v = alloc_vec_Vec_new u32 in - let* _ = alloc_vec_Vec_push u32 v 0 in - Return () + let* _ = alloc_vec_Vec_push u32 (alloc_vec_Vec_new u32) 0 in Return () (** Unit test for [external::test_vec] *) let _ = assert_norm (test_vec = Return ()) -(** [external::custom_swap]: forward function - Source: 'src/external.rs', lines 24:0-24:66 *) -let custom_swap (t : Type0) (x : t) (y : t) (st : state) : result (state & t) = - let* (st0, _) = core_mem_swap t x y st in - let* (st1, x0) = core_mem_swap_back0 t x y st st0 in - let* (st2, _) = core_mem_swap_back1 t x y st st1 in - Return (st2, x0) - -(** [external::custom_swap]: backward function 0 +(** [external::custom_swap]: Source: 'src/external.rs', lines 24:0-24:66 *) -let custom_swap_back - (t : Type0) (x : t) (y : t) (st : state) (ret : t) (st0 : state) : - result (state & (t & t)) +let custom_swap + (t : Type0) (x : t) (y : t) (st : state) : + result (state & (t & (t -> state -> result (state & (t & t))))) = - let* (st1, _) = core_mem_swap t x y st in - let* (st2, _) = core_mem_swap_back0 t x y st st1 in - let* (_, y0) = core_mem_swap_back1 t x y st st2 in - Return (st0, (ret, y0)) - -(** [external::test_custom_swap]: forward function - Source: 'src/external.rs', lines 29:0-29:59 *) -let test_custom_swap (x : u32) (y : u32) (st : state) : result (state & unit) = - let* (st0, _) = custom_swap u32 x y st in Return (st0, ()) + let* (st1, (x1, x2)) = core_mem_swap t x y st in + let back_'a = fun ret st2 -> Return (st2, (ret, x2)) in + Return (st1, (x1, back_'a)) -(** [external::test_custom_swap]: backward function 0 +(** [external::test_custom_swap]: Source: 'src/external.rs', lines 29:0-29:59 *) -let test_custom_swap_back - (x : u32) (y : u32) (st : state) (st0 : state) : - result (state & (u32 & u32)) - = - custom_swap_back u32 x y st 1 st0 +let test_custom_swap + (x : u32) (y : u32) (st : state) : result (state & (u32 & u32)) = + let* (st1, (_, custom_swap_back)) = custom_swap u32 x y st in + let* (_, (x1, y1)) = custom_swap_back 1 st1 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 *) let test_swap_non_zero (x : u32) (st : state) : result (state & u32) = - let* (st0, _) = swap u32 x 0 st in - let* (st1, (x0, _)) = swap_back u32 x 0 st st0 in - if x0 = 0 then Fail Failure else Return (st1, x0) + let* (st1, p) = swap u32 x 0 st in + let (x1, _) = p in + if x1 = 0 then Fail Failure else Return (st1, x1) diff --git a/tests/fstar/misc/External.FunsExternal.fsti b/tests/fstar/misc/External.FunsExternal.fsti index 923a1101..a412aea9 100644 --- a/tests/fstar/misc/External.FunsExternal.fsti +++ b/tests/fstar/misc/External.FunsExternal.fsti @@ -6,26 +6,16 @@ include External.Types #set-options "--z3rlimit 50 --fuel 1 --ifuel 1" -(** [core::mem::swap]: forward function +(** [core::mem::swap]: Source: '/rustc/d59363ad0b6391b7fc5bbb02c9ccf9300eef3753/library/core/src/mem/mod.rs', lines 726:0-726:42 *) -val core_mem_swap (t : Type0) : t -> t -> state -> result (state & unit) +val core_mem_swap (t : Type0) : 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 *) -val core_mem_swap_back0 - (t : Type0) : 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 *) -val core_mem_swap_back1 - (t : Type0) : 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 *) val 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 *) val core_option_Option_unwrap (t : Type0) : option t -> state -> result (state & t) diff --git a/tests/fstar/misc/Loops.Funs.fst b/tests/fstar/misc/Loops.Funs.fst index d2ac5561..88389300 100644 --- a/tests/fstar/misc/Loops.Funs.fst +++ b/tests/fstar/misc/Loops.Funs.fst @@ -7,22 +7,22 @@ include Loops.Clauses #set-options "--z3rlimit 50 --fuel 1 --ifuel 1" -(** [loops::sum]: loop 0: forward function +(** [loops::sum]: loop 0: Source: 'src/loops.rs', lines 4:0-14:1 *) let rec sum_loop (max : u32) (i : u32) (s : u32) : Tot (result u32) (decreases (sum_loop_decreases max i s)) = if i < max - then let* s0 = u32_add s i in let* i0 = u32_add i 1 in sum_loop max i0 s0 + then let* s1 = u32_add s i in let* i1 = u32_add i 1 in sum_loop max i1 s1 else u32_mul s 2 -(** [loops::sum]: forward function +(** [loops::sum]: Source: 'src/loops.rs', lines 4:0-4:27 *) let sum (max : u32) : result u32 = sum_loop max 0 0 -(** [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 *) let rec sum_with_mut_borrows_loop (max : u32) (mi : u32) (ms : u32) : @@ -30,17 +30,17 @@ let rec sum_with_mut_borrows_loop = if mi < max then - let* ms0 = u32_add ms mi in - let* mi0 = u32_add mi 1 in - sum_with_mut_borrows_loop max mi0 ms0 + let* ms1 = u32_add ms mi in + let* mi1 = u32_add mi 1 in + sum_with_mut_borrows_loop max mi1 ms1 else u32_mul ms 2 -(** [loops::sum_with_mut_borrows]: forward function +(** [loops::sum_with_mut_borrows]: Source: 'src/loops.rs', lines 19:0-19:44 *) let sum_with_mut_borrows (max : u32) : result u32 = sum_with_mut_borrows_loop max 0 0 -(** [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 *) let rec sum_with_shared_borrows_loop (max : u32) (i : u32) (s : u32) : @@ -48,40 +48,39 @@ let rec sum_with_shared_borrows_loop = if i < max then - let* i0 = u32_add i 1 in - let* s0 = u32_add s i0 in - sum_with_shared_borrows_loop max i0 s0 + let* i1 = u32_add i 1 in + let* s1 = u32_add s i1 in + sum_with_shared_borrows_loop max i1 s1 else u32_mul s 2 -(** [loops::sum_with_shared_borrows]: forward function +(** [loops::sum_with_shared_borrows]: Source: 'src/loops.rs', lines 34:0-34:47 *) let sum_with_shared_borrows (max : u32) : result u32 = sum_with_shared_borrows_loop max 0 0 -(** [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 *) let rec clear_loop (v : alloc_vec_Vec u32) (i : usize) : Tot (result (alloc_vec_Vec u32)) (decreases (clear_loop_decreases v i)) = - let i0 = alloc_vec_Vec_len u32 v in - if i < i0 + let i1 = alloc_vec_Vec_len u32 v in + if i < i1 then - let* i1 = usize_add i 1 in - let* v0 = - alloc_vec_Vec_index_mut_back u32 usize - (core_slice_index_SliceIndexUsizeSliceTInst u32) v i 0 in - clear_loop v0 i1 + let* (_, index_mut_back) = + alloc_vec_Vec_index_mut u32 usize + (core_slice_index_SliceIndexUsizeSliceTInst u32) v i in + let* i2 = usize_add i 1 in + let* v1 = index_mut_back 0 in + clear_loop v1 i2 else Return v -(** [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 *) let clear (v : alloc_vec_Vec u32) : result (alloc_vec_Vec u32) = clear_loop v 0 -(** [loops::list_mem]: loop 0: forward function +(** [loops::list_mem]: loop 0: Source: 'src/loops.rs', lines 66:0-75:1 *) let rec list_mem_loop (x : u32) (ls : list_t u32) : @@ -92,54 +91,39 @@ let rec list_mem_loop | List_Nil -> Return false end -(** [loops::list_mem]: forward function +(** [loops::list_mem]: Source: 'src/loops.rs', lines 66:0-66:52 *) let list_mem (x : u32) (ls : list_t u32) : result bool = list_mem_loop 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 *) let rec list_nth_mut_loop_loop (t : Type0) (ls : list_t t) (i : u32) : - Tot (result t) (decreases (list_nth_mut_loop_loop_decreases t ls i)) + Tot (result (t & (t -> result (list_t t)))) + (decreases (list_nth_mut_loop_loop_decreases t ls i)) = begin match ls with | List_Cons x tl -> if i = 0 - then Return x - else let* i0 = u32_sub i 1 in list_nth_mut_loop_loop t tl i0 - | List_Nil -> Fail Failure - end - -(** [loops::list_nth_mut_loop]: forward function - Source: 'src/loops.rs', lines 78:0-78:71 *) -let list_nth_mut_loop (t : Type0) (ls : list_t t) (i : u32) : result t = - list_nth_mut_loop_loop t ls i - -(** [loops::list_nth_mut_loop]: loop 0: backward function 0 - Source: 'src/loops.rs', lines 78:0-88:1 *) -let rec list_nth_mut_loop_loop_back - (t : Type0) (ls : list_t t) (i : u32) (ret : t) : - Tot (result (list_t t)) (decreases (list_nth_mut_loop_loop_decreases t ls i)) - = - begin match ls with - | List_Cons x tl -> - if i = 0 - then Return (List_Cons ret tl) + then let back = fun ret -> Return (List_Cons ret tl) in Return (x, back) else - let* i0 = u32_sub i 1 in - let* tl0 = list_nth_mut_loop_loop_back t tl i0 ret in - Return (List_Cons x tl0) + let* i1 = u32_sub i 1 in + let* (x1, back) = list_nth_mut_loop_loop t tl i1 in + let back1 = fun ret -> let* tl1 = back ret in Return (List_Cons x tl1) in + Return (x1, back1) | List_Nil -> Fail Failure end -(** [loops::list_nth_mut_loop]: backward function 0 +(** [loops::list_nth_mut_loop]: Source: 'src/loops.rs', lines 78:0-78:71 *) -let list_nth_mut_loop_back - (t : Type0) (ls : list_t t) (i : u32) (ret : t) : result (list_t t) = - list_nth_mut_loop_loop_back t ls i ret +let list_nth_mut_loop + (t : Type0) (ls : list_t t) (i : u32) : + result (t & (t -> result (list_t t))) + = + let* (x, back) = list_nth_mut_loop_loop t ls i in Return (x, 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 *) let rec list_nth_shared_loop_loop (t : Type0) (ls : list_t t) (i : u32) : @@ -149,63 +133,47 @@ let rec list_nth_shared_loop_loop | List_Cons x tl -> if i = 0 then Return x - else let* i0 = u32_sub i 1 in list_nth_shared_loop_loop t tl i0 + else let* i1 = u32_sub i 1 in list_nth_shared_loop_loop t tl i1 | List_Nil -> Fail Failure end -(** [loops::list_nth_shared_loop]: forward function +(** [loops::list_nth_shared_loop]: Source: 'src/loops.rs', lines 91:0-91:66 *) let list_nth_shared_loop (t : Type0) (ls : list_t t) (i : u32) : result t = list_nth_shared_loop_loop t 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 *) let rec get_elem_mut_loop (x : usize) (ls : list_t usize) : - Tot (result usize) (decreases (get_elem_mut_loop_decreases x ls)) - = - begin match ls with - | List_Cons y tl -> if y = x then Return y else get_elem_mut_loop x tl - | List_Nil -> Fail Failure - end - -(** [loops::get_elem_mut]: forward function - Source: 'src/loops.rs', lines 103:0-103:73 *) -let get_elem_mut - (slots : alloc_vec_Vec (list_t usize)) (x : usize) : result usize = - let* l = - alloc_vec_Vec_index_mut (list_t usize) usize - (core_slice_index_SliceIndexUsizeSliceTInst (list_t usize)) slots 0 in - get_elem_mut_loop x l - -(** [loops::get_elem_mut]: loop 0: backward function 0 - Source: 'src/loops.rs', lines 103:0-117:1 *) -let rec get_elem_mut_loop_back - (x : usize) (ls : list_t usize) (ret : usize) : - Tot (result (list_t usize)) (decreases (get_elem_mut_loop_decreases x ls)) + Tot (result (usize & (usize -> result (list_t usize)))) + (decreases (get_elem_mut_loop_decreases x ls)) = begin match ls with | List_Cons y tl -> if y = x - then Return (List_Cons ret tl) - else let* tl0 = get_elem_mut_loop_back x tl ret in Return (List_Cons y tl0) + then let back = fun ret -> Return (List_Cons ret tl) in Return (y, back) + else + let* (i, back) = get_elem_mut_loop x tl in + let back1 = fun ret -> let* tl1 = back ret in Return (List_Cons y tl1) in + Return (i, back1) | List_Nil -> Fail Failure end -(** [loops::get_elem_mut]: backward function 0 +(** [loops::get_elem_mut]: Source: 'src/loops.rs', lines 103:0-103:73 *) -let get_elem_mut_back - (slots : alloc_vec_Vec (list_t usize)) (x : usize) (ret : usize) : - result (alloc_vec_Vec (list_t usize)) +let get_elem_mut + (slots : alloc_vec_Vec (list_t usize)) (x : usize) : + result (usize & (usize -> result (alloc_vec_Vec (list_t usize)))) = - let* l = + let* (l, index_mut_back) = alloc_vec_Vec_index_mut (list_t usize) usize (core_slice_index_SliceIndexUsizeSliceTInst (list_t usize)) slots 0 in - let* l0 = get_elem_mut_loop_back x l ret in - alloc_vec_Vec_index_mut_back (list_t usize) usize - (core_slice_index_SliceIndexUsizeSliceTInst (list_t usize)) slots 0 l0 + let* (i, back) = get_elem_mut_loop x l in + let back1 = fun ret -> let* l1 = back ret in 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 *) let rec get_elem_shared_loop (x : usize) (ls : list_t usize) : @@ -216,7 +184,7 @@ let rec get_elem_shared_loop | List_Nil -> Fail Failure end -(** [loops::get_elem_shared]: forward function +(** [loops::get_elem_shared]: Source: 'src/loops.rs', lines 119:0-119:68 *) let get_elem_shared (slots : alloc_vec_Vec (list_t usize)) (x : usize) : result usize = @@ -225,69 +193,50 @@ let get_elem_shared (core_slice_index_SliceIndexUsizeSliceTInst (list_t usize)) slots 0 in get_elem_shared_loop x l -(** [loops::id_mut]: forward function - Source: 'src/loops.rs', lines 135:0-135:50 *) -let id_mut (t : Type0) (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 *) -let id_mut_back - (t : Type0) (ls : list_t t) (ret : list_t t) : result (list_t t) = - Return ret +let id_mut + (t : Type0) (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 *) let id_shared (t : Type0) (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 *) let rec list_nth_mut_loop_with_id_loop (t : Type0) (i : u32) (ls : list_t t) : - Tot (result t) (decreases (list_nth_mut_loop_with_id_loop_decreases t i ls)) - = - begin match ls with - | List_Cons x tl -> - if i = 0 - then Return x - else let* i0 = u32_sub i 1 in list_nth_mut_loop_with_id_loop t i0 tl - | List_Nil -> Fail Failure - end - -(** [loops::list_nth_mut_loop_with_id]: forward function - Source: 'src/loops.rs', lines 144:0-144:75 *) -let list_nth_mut_loop_with_id - (t : Type0) (ls : list_t t) (i : u32) : result t = - let* ls0 = id_mut t ls in list_nth_mut_loop_with_id_loop t i ls0 - -(** [loops::list_nth_mut_loop_with_id]: loop 0: backward function 0 - Source: 'src/loops.rs', lines 144:0-155:1 *) -let rec list_nth_mut_loop_with_id_loop_back - (t : Type0) (i : u32) (ls : list_t t) (ret : t) : - Tot (result (list_t t)) + Tot (result (t & (t -> result (list_t t)))) (decreases (list_nth_mut_loop_with_id_loop_decreases t i ls)) = begin match ls with | List_Cons x tl -> if i = 0 - then Return (List_Cons ret tl) + then let back = fun ret -> Return (List_Cons ret tl) in Return (x, back) else - let* i0 = u32_sub i 1 in - let* tl0 = list_nth_mut_loop_with_id_loop_back t i0 tl ret in - Return (List_Cons x tl0) + let* i1 = u32_sub i 1 in + let* (x1, back) = list_nth_mut_loop_with_id_loop t i1 tl in + let back1 = fun ret -> let* tl1 = back ret in Return (List_Cons x tl1) in + Return (x1, back1) | List_Nil -> Fail Failure 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 *) -let list_nth_mut_loop_with_id_back - (t : Type0) (ls : list_t t) (i : u32) (ret : t) : result (list_t t) = - let* ls0 = id_mut t ls in - let* l = list_nth_mut_loop_with_id_loop_back t i ls0 ret in - id_mut_back t ls l +let list_nth_mut_loop_with_id + (t : Type0) (ls : list_t t) (i : u32) : + result (t & (t -> result (list_t t))) + = + let* (ls1, id_mut_back) = id_mut t ls in + let* (x, back) = list_nth_mut_loop_with_id_loop t i ls1 in + let back1 = fun ret -> let* l = back ret in id_mut_back l in + Return (x, 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 *) let rec list_nth_shared_loop_with_id_loop (t : Type0) (i : u32) (ls : list_t t) : @@ -298,46 +247,21 @@ let rec list_nth_shared_loop_with_id_loop | List_Cons x tl -> if i = 0 then Return x - else let* i0 = u32_sub i 1 in list_nth_shared_loop_with_id_loop t i0 tl + else let* i1 = u32_sub i 1 in list_nth_shared_loop_with_id_loop t i1 tl | List_Nil -> Fail Failure 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 *) let list_nth_shared_loop_with_id (t : Type0) (ls : list_t t) (i : u32) : result t = - let* ls0 = id_shared t ls in list_nth_shared_loop_with_id_loop t i ls0 + let* ls1 = id_shared t ls in list_nth_shared_loop_with_id_loop t 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 *) let rec list_nth_mut_loop_pair_loop (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) : - Tot (result (t & t)) - (decreases (list_nth_mut_loop_pair_loop_decreases t ls0 ls1 i)) - = - begin match ls0 with - | List_Cons x0 tl0 -> - begin match ls1 with - | List_Cons x1 tl1 -> - if i = 0 - then Return (x0, x1) - else let* i0 = u32_sub i 1 in list_nth_mut_loop_pair_loop t tl0 tl1 i0 - | List_Nil -> Fail Failure - end - | List_Nil -> Fail Failure - end - -(** [loops::list_nth_mut_loop_pair]: forward function - Source: 'src/loops.rs', lines 174:0-178:27 *) -let list_nth_mut_loop_pair - (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) : result (t & t) = - list_nth_mut_loop_pair_loop t ls0 ls1 i - -(** [loops::list_nth_mut_loop_pair]: loop 0: backward function 0 - Source: 'src/loops.rs', lines 174:0-195:1 *) -let rec list_nth_mut_loop_pair_loop_back'a - (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) (ret : t) : - Tot (result (list_t t)) + Tot (result ((t & t) & (t -> result (list_t t)) & (t -> result (list_t t)))) (decreases (list_nth_mut_loop_pair_loop_decreases t ls0 ls1 i)) = begin match ls0 with @@ -345,55 +269,34 @@ let rec list_nth_mut_loop_pair_loop_back'a begin match ls1 with | List_Cons x1 tl1 -> if i = 0 - then Return (List_Cons ret tl0) + then + let back_'a = fun ret -> Return (List_Cons ret tl0) in + let back_'b = fun ret -> Return (List_Cons ret tl1) in + Return ((x0, x1), back_'a, back_'b) else - let* i0 = u32_sub i 1 in - let* tl00 = list_nth_mut_loop_pair_loop_back'a t tl0 tl1 i0 ret in - Return (List_Cons x0 tl00) + let* i1 = u32_sub i 1 in + let* (p, back_'a, back_'b) = list_nth_mut_loop_pair_loop t tl0 tl1 i1 + in + let back_'a1 = + fun ret -> let* tl01 = back_'a ret in Return (List_Cons x0 tl01) in + let back_'b1 = + fun ret -> let* tl11 = back_'b ret in Return (List_Cons x1 tl11) in + Return (p, back_'a1, back_'b1) | List_Nil -> Fail Failure end | List_Nil -> Fail Failure end -(** [loops::list_nth_mut_loop_pair]: backward function 0 +(** [loops::list_nth_mut_loop_pair]: Source: 'src/loops.rs', lines 174:0-178:27 *) -let list_nth_mut_loop_pair_back'a - (t : Type0) (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 ls0 ls1 i ret - -(** [loops::list_nth_mut_loop_pair]: loop 0: backward function 1 - Source: 'src/loops.rs', lines 174:0-195:1 *) -let rec list_nth_mut_loop_pair_loop_back'b - (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) (ret : t) : - Tot (result (list_t t)) - (decreases (list_nth_mut_loop_pair_loop_decreases t ls0 ls1 i)) - = - begin match ls0 with - | List_Cons x0 tl0 -> - begin match ls1 with - | List_Cons x1 tl1 -> - if i = 0 - then Return (List_Cons ret tl1) - else - let* i0 = u32_sub i 1 in - let* tl10 = list_nth_mut_loop_pair_loop_back'b t tl0 tl1 i0 ret in - Return (List_Cons x1 tl10) - | List_Nil -> Fail Failure - end - | List_Nil -> Fail Failure - end - -(** [loops::list_nth_mut_loop_pair]: backward function 1 - Source: 'src/loops.rs', lines 174:0-178:27 *) -let list_nth_mut_loop_pair_back'b - (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) (ret : t) : - result (list_t t) +let list_nth_mut_loop_pair + (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) : + result ((t & t) & (t -> result (list_t t)) & (t -> result (list_t t))) = - list_nth_mut_loop_pair_loop_back'b t ls0 ls1 i ret + let* (p, back_'a, back_'b) = list_nth_mut_loop_pair_loop t ls0 ls1 i in + Return (p, back_'a, back_'b) -(** [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 *) let rec list_nth_shared_loop_pair_loop (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) : @@ -406,23 +309,23 @@ let rec list_nth_shared_loop_pair_loop | List_Cons x1 tl1 -> if i = 0 then Return (x0, x1) - else let* i0 = u32_sub i 1 in list_nth_shared_loop_pair_loop t tl0 tl1 i0 + else let* i1 = u32_sub i 1 in list_nth_shared_loop_pair_loop t tl0 tl1 i1 | List_Nil -> Fail Failure end | List_Nil -> Fail Failure end -(** [loops::list_nth_shared_loop_pair]: forward function +(** [loops::list_nth_shared_loop_pair]: Source: 'src/loops.rs', lines 198:0-202:19 *) let list_nth_shared_loop_pair (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) : result (t & t) = list_nth_shared_loop_pair_loop t 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 *) let rec list_nth_mut_loop_pair_merge_loop (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) : - Tot (result (t & t)) + Tot (result ((t & t) & ((t & t) -> result ((list_t t) & (list_t t))))) (decreases (list_nth_mut_loop_pair_merge_loop_decreases t ls0 ls1 i)) = begin match ls0 with @@ -430,52 +333,34 @@ let rec list_nth_mut_loop_pair_merge_loop begin match ls1 with | List_Cons x1 tl1 -> if i = 0 - then Return (x0, x1) + then + let back_'a = + fun ret -> + let (x, x2) = ret in Return (List_Cons x tl0, List_Cons x2 tl1) in + Return ((x0, x1), back_'a) else - let* i0 = u32_sub i 1 in list_nth_mut_loop_pair_merge_loop t tl0 tl1 i0 + let* i1 = u32_sub i 1 in + let* (p, back_'a) = list_nth_mut_loop_pair_merge_loop t tl0 tl1 i1 in + let back_'a1 = + fun ret -> + let* (tl01, tl11) = back_'a ret in + Return (List_Cons x0 tl01, List_Cons x1 tl11) in + Return (p, back_'a1) | List_Nil -> Fail Failure end | List_Nil -> Fail Failure 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 *) let list_nth_mut_loop_pair_merge - (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) : result (t & t) = - list_nth_mut_loop_pair_merge_loop t ls0 ls1 i - -(** [loops::list_nth_mut_loop_pair_merge]: loop 0: backward function 0 - Source: 'src/loops.rs', lines 223:0-238:1 *) -let rec list_nth_mut_loop_pair_merge_loop_back - (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) (ret : (t & t)) : - Tot (result ((list_t t) & (list_t t))) - (decreases (list_nth_mut_loop_pair_merge_loop_decreases t ls0 ls1 i)) - = - begin match ls0 with - | List_Cons x0 tl0 -> - begin match ls1 with - | List_Cons x1 tl1 -> - if i = 0 - then let (x, x2) = ret in Return (List_Cons x tl0, List_Cons x2 tl1) - else - let* i0 = u32_sub i 1 in - let* (tl00, tl10) = - list_nth_mut_loop_pair_merge_loop_back t tl0 tl1 i0 ret in - Return (List_Cons x0 tl00, List_Cons x1 tl10) - | List_Nil -> Fail Failure - end - | List_Nil -> Fail Failure - end - -(** [loops::list_nth_mut_loop_pair_merge]: backward function 0 - Source: 'src/loops.rs', lines 223:0-227:27 *) -let list_nth_mut_loop_pair_merge_back - (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) (ret : (t & t)) : - result ((list_t t) & (list_t t)) + (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) : + result ((t & t) & ((t & t) -> result ((list_t t) & (list_t t)))) = - list_nth_mut_loop_pair_merge_loop_back t ls0 ls1 i ret + let* (p, back_'a) = list_nth_mut_loop_pair_merge_loop t ls0 ls1 i in + Return (p, back_'a) -(** [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 *) let rec list_nth_shared_loop_pair_merge_loop (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) : @@ -489,24 +374,24 @@ let rec list_nth_shared_loop_pair_merge_loop if i = 0 then Return (x0, x1) else - let* i0 = u32_sub i 1 in - list_nth_shared_loop_pair_merge_loop t tl0 tl1 i0 + let* i1 = u32_sub i 1 in + list_nth_shared_loop_pair_merge_loop t tl0 tl1 i1 | List_Nil -> Fail Failure end | List_Nil -> Fail Failure 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 *) let list_nth_shared_loop_pair_merge (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) : result (t & t) = list_nth_shared_loop_pair_merge_loop t 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 *) let rec list_nth_mut_shared_loop_pair_loop (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) : - Tot (result (t & t)) + Tot (result ((t & t) & (t -> result (list_t t)))) (decreases (list_nth_mut_shared_loop_pair_loop_decreases t ls0 ls1 i)) = begin match ls0 with @@ -514,56 +399,34 @@ let rec list_nth_mut_shared_loop_pair_loop begin match ls1 with | List_Cons x1 tl1 -> if i = 0 - then Return (x0, x1) + then + let back_'a = fun ret -> Return (List_Cons ret tl0) in + Return ((x0, x1), back_'a) else - let* i0 = u32_sub i 1 in - list_nth_mut_shared_loop_pair_loop t tl0 tl1 i0 + let* i1 = u32_sub i 1 in + let* (p, back_'a) = list_nth_mut_shared_loop_pair_loop t tl0 tl1 i1 in + let back_'a1 = + fun ret -> let* tl01 = back_'a ret in Return (List_Cons x0 tl01) in + Return (p, back_'a1) | List_Nil -> Fail Failure end | List_Nil -> Fail Failure 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 *) let list_nth_mut_shared_loop_pair - (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) : result (t & t) = - list_nth_mut_shared_loop_pair_loop t ls0 ls1 i - -(** [loops::list_nth_mut_shared_loop_pair]: loop 0: backward function 0 - Source: 'src/loops.rs', lines 259:0-274:1 *) -let rec list_nth_mut_shared_loop_pair_loop_back - (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) (ret : t) : - Tot (result (list_t t)) - (decreases (list_nth_mut_shared_loop_pair_loop_decreases t ls0 ls1 i)) - = - begin match ls0 with - | List_Cons x0 tl0 -> - begin match ls1 with - | List_Cons x1 tl1 -> - if i = 0 - then Return (List_Cons ret tl0) - else - let* i0 = u32_sub i 1 in - let* tl00 = list_nth_mut_shared_loop_pair_loop_back t tl0 tl1 i0 ret in - Return (List_Cons x0 tl00) - | List_Nil -> Fail Failure - end - | List_Nil -> Fail Failure - end - -(** [loops::list_nth_mut_shared_loop_pair]: backward function 0 - Source: 'src/loops.rs', lines 259:0-263:23 *) -let list_nth_mut_shared_loop_pair_back - (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) (ret : t) : - result (list_t t) + (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) : + result ((t & t) & (t -> result (list_t t))) = - list_nth_mut_shared_loop_pair_loop_back t ls0 ls1 i ret + let* (p, back_'a) = list_nth_mut_shared_loop_pair_loop t ls0 ls1 i in + Return (p, back_'a) -(** [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 *) let rec list_nth_mut_shared_loop_pair_merge_loop (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) : - Tot (result (t & t)) + Tot (result ((t & t) & (t -> result (list_t t)))) (decreases (list_nth_mut_shared_loop_pair_merge_loop_decreases t ls0 ls1 i)) = begin match ls0 with @@ -571,57 +434,35 @@ let rec list_nth_mut_shared_loop_pair_merge_loop begin match ls1 with | List_Cons x1 tl1 -> if i = 0 - then Return (x0, x1) + then + let back_'a = fun ret -> Return (List_Cons ret tl0) in + Return ((x0, x1), back_'a) else - let* i0 = u32_sub i 1 in - list_nth_mut_shared_loop_pair_merge_loop t tl0 tl1 i0 + let* i1 = u32_sub i 1 in + let* (p, back_'a) = + list_nth_mut_shared_loop_pair_merge_loop t tl0 tl1 i1 in + let back_'a1 = + fun ret -> let* tl01 = back_'a ret in Return (List_Cons x0 tl01) in + Return (p, back_'a1) | List_Nil -> Fail Failure end | List_Nil -> Fail Failure 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 *) let list_nth_mut_shared_loop_pair_merge - (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) : result (t & t) = - list_nth_mut_shared_loop_pair_merge_loop t 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 *) -let rec list_nth_mut_shared_loop_pair_merge_loop_back - (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) (ret : t) : - Tot (result (list_t t)) - (decreases (list_nth_mut_shared_loop_pair_merge_loop_decreases t ls0 ls1 i)) - = - begin match ls0 with - | List_Cons x0 tl0 -> - begin match ls1 with - | List_Cons x1 tl1 -> - if i = 0 - then Return (List_Cons ret tl0) - else - let* i0 = u32_sub i 1 in - let* tl00 = - list_nth_mut_shared_loop_pair_merge_loop_back t tl0 tl1 i0 ret in - Return (List_Cons x0 tl00) - | List_Nil -> Fail Failure - end - | List_Nil -> Fail Failure - end - -(** [loops::list_nth_mut_shared_loop_pair_merge]: backward function 0 - Source: 'src/loops.rs', lines 278:0-282:23 *) -let list_nth_mut_shared_loop_pair_merge_back - (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) (ret : t) : - result (list_t t) + (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) : + result ((t & t) & (t -> result (list_t t))) = - list_nth_mut_shared_loop_pair_merge_loop_back t ls0 ls1 i ret + let* (p, back_'a) = list_nth_mut_shared_loop_pair_merge_loop t ls0 ls1 i in + Return (p, 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 *) let rec list_nth_shared_mut_loop_pair_loop (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) : - Tot (result (t & t)) + Tot (result ((t & t) & (t -> result (list_t t)))) (decreases (list_nth_shared_mut_loop_pair_loop_decreases t ls0 ls1 i)) = begin match ls0 with @@ -629,56 +470,34 @@ let rec list_nth_shared_mut_loop_pair_loop begin match ls1 with | List_Cons x1 tl1 -> if i = 0 - then Return (x0, x1) + then + let back_'b = fun ret -> Return (List_Cons ret tl1) in + Return ((x0, x1), back_'b) else - let* i0 = u32_sub i 1 in - list_nth_shared_mut_loop_pair_loop t tl0 tl1 i0 + let* i1 = u32_sub i 1 in + let* (p, back_'b) = list_nth_shared_mut_loop_pair_loop t tl0 tl1 i1 in + let back_'b1 = + fun ret -> let* tl11 = back_'b ret in Return (List_Cons x1 tl11) in + Return (p, back_'b1) | List_Nil -> Fail Failure end | List_Nil -> Fail Failure 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 *) let list_nth_shared_mut_loop_pair - (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) : result (t & t) = - list_nth_shared_mut_loop_pair_loop t ls0 ls1 i - -(** [loops::list_nth_shared_mut_loop_pair]: loop 0: backward function 1 - Source: 'src/loops.rs', lines 297:0-312:1 *) -let rec list_nth_shared_mut_loop_pair_loop_back - (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) (ret : t) : - Tot (result (list_t t)) - (decreases (list_nth_shared_mut_loop_pair_loop_decreases t ls0 ls1 i)) - = - begin match ls0 with - | List_Cons x0 tl0 -> - begin match ls1 with - | List_Cons x1 tl1 -> - if i = 0 - then Return (List_Cons ret tl1) - else - let* i0 = u32_sub i 1 in - let* tl10 = list_nth_shared_mut_loop_pair_loop_back t tl0 tl1 i0 ret in - Return (List_Cons x1 tl10) - | List_Nil -> Fail Failure - end - | List_Nil -> Fail Failure - end - -(** [loops::list_nth_shared_mut_loop_pair]: backward function 1 - Source: 'src/loops.rs', lines 297:0-301:23 *) -let list_nth_shared_mut_loop_pair_back - (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) (ret : t) : - result (list_t t) + (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) : + result ((t & t) & (t -> result (list_t t))) = - list_nth_shared_mut_loop_pair_loop_back t ls0 ls1 i ret + let* (p, back_'b) = list_nth_shared_mut_loop_pair_loop t ls0 ls1 i in + Return (p, back_'b) -(** [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 *) let rec list_nth_shared_mut_loop_pair_merge_loop (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) : - Tot (result (t & t)) + Tot (result ((t & t) & (t -> result (list_t t)))) (decreases (list_nth_shared_mut_loop_pair_merge_loop_decreases t ls0 ls1 i)) = begin match ls0 with @@ -686,49 +505,27 @@ let rec list_nth_shared_mut_loop_pair_merge_loop begin match ls1 with | List_Cons x1 tl1 -> if i = 0 - then Return (x0, x1) + then + let back_'a = fun ret -> Return (List_Cons ret tl1) in + Return ((x0, x1), back_'a) else - let* i0 = u32_sub i 1 in - list_nth_shared_mut_loop_pair_merge_loop t tl0 tl1 i0 + let* i1 = u32_sub i 1 in + let* (p, back_'a) = + list_nth_shared_mut_loop_pair_merge_loop t tl0 tl1 i1 in + let back_'a1 = + fun ret -> let* tl11 = back_'a ret in Return (List_Cons x1 tl11) in + Return (p, back_'a1) | List_Nil -> Fail Failure end | List_Nil -> Fail Failure 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 *) let list_nth_shared_mut_loop_pair_merge - (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) : result (t & t) = - list_nth_shared_mut_loop_pair_merge_loop t 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 *) -let rec list_nth_shared_mut_loop_pair_merge_loop_back - (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) (ret : t) : - Tot (result (list_t t)) - (decreases (list_nth_shared_mut_loop_pair_merge_loop_decreases t ls0 ls1 i)) - = - begin match ls0 with - | List_Cons x0 tl0 -> - begin match ls1 with - | List_Cons x1 tl1 -> - if i = 0 - then Return (List_Cons ret tl1) - else - let* i0 = u32_sub i 1 in - let* tl10 = - list_nth_shared_mut_loop_pair_merge_loop_back t tl0 tl1 i0 ret in - Return (List_Cons x1 tl10) - | List_Nil -> Fail Failure - end - | List_Nil -> Fail Failure - end - -(** [loops::list_nth_shared_mut_loop_pair_merge]: backward function 0 - Source: 'src/loops.rs', lines 316:0-320:23 *) -let list_nth_shared_mut_loop_pair_merge_back - (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) (ret : t) : - result (list_t t) + (t : Type0) (ls0 : list_t t) (ls1 : list_t t) (i : u32) : + result ((t & t) & (t -> result (list_t t))) = - list_nth_shared_mut_loop_pair_merge_loop_back t ls0 ls1 i ret + let* (p, back_'a) = list_nth_shared_mut_loop_pair_merge_loop t ls0 ls1 i in + Return (p, back_'a) diff --git a/tests/fstar/misc/NoNestedBorrows.fst b/tests/fstar/misc/NoNestedBorrows.fst index 1386b02c..ffcc32f3 100644 --- a/tests/fstar/misc/NoNestedBorrows.fst +++ b/tests/fstar/misc/NoNestedBorrows.fst @@ -37,96 +37,96 @@ type sum_t (t1 t2 : Type0) = | Sum_Left : t1 -> sum_t t1 t2 | Sum_Right : t2 -> sum_t t1 t2 -(** [no_nested_borrows::neg_test]: forward function +(** [no_nested_borrows::neg_test]: Source: 'src/no_nested_borrows.rs', lines 48:0-48:30 *) let 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 *) let 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 *) let 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 *) let 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 *) let div_u32_const (x : u32) : result u32 = u32_div x 2 -(** [no_nested_borrows::rem_u32]: forward function +(** [no_nested_borrows::rem_u32]: Source: 'src/no_nested_borrows.rs', lines 78:0-78:37 *) let 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 *) let 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 *) let 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 *) let 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 *) let 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 *) let div_i32_const (x : i32) : result i32 = i32_div x 2 -(** [no_nested_borrows::rem_i32]: forward function +(** [no_nested_borrows::rem_i32]: Source: 'src/no_nested_borrows.rs', lines 104:0-104:37 *) let 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 *) let 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 *) let mix_arith_u32 (x : u32) (y : u32) (z : u32) : result u32 = let* i = u32_add x y in - let* i0 = u32_div x y in - let* i1 = u32_mul i i0 in - let* i2 = u32_rem z y in - let* i3 = u32_sub x i2 in - let* i4 = u32_add i1 i3 in - let* i5 = u32_add x y in - let* i6 = u32_add i5 z in - u32_rem i4 i6 - -(** [no_nested_borrows::mix_arith_i32]: forward function + let* i1 = u32_div x y in + let* i2 = u32_mul i i1 in + let* i3 = u32_rem z y in + let* i4 = u32_sub x i3 in + let* i5 = u32_add i2 i4 in + let* i6 = u32_add x y in + let* i7 = u32_add i6 z in + u32_rem i5 i7 + +(** [no_nested_borrows::mix_arith_i32]: Source: 'src/no_nested_borrows.rs', lines 116:0-116:51 *) let mix_arith_i32 (x : i32) (y : i32) (z : i32) : result i32 = let* i = i32_add x y in - let* i0 = i32_div x y in - let* i1 = i32_mul i i0 in - let* i2 = i32_rem z y in - let* i3 = i32_sub x i2 in - let* i4 = i32_add i1 i3 in - let* i5 = i32_add x y in - let* i6 = i32_add i5 z in - i32_rem i4 i6 + let* i1 = i32_div x y in + let* i2 = i32_mul i i1 in + let* i3 = i32_rem z y in + let* i4 = i32_sub x i3 in + let* i5 = i32_add i2 i4 in + let* i6 = i32_add x y in + let* i7 = i32_add i6 z in + i32_rem i5 i7 (** [no_nested_borrows::CONST0] Source: 'src/no_nested_borrows.rs', lines 125:0-125:23 *) @@ -138,22 +138,22 @@ let const0_c : usize = eval_global const0_body let const1_body : result usize = usize_mul 2 2 let const1_c : usize = eval_global const1_body -(** [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 *) let 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 *) let 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 *) let 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 *) let test2 : result unit = let* _ = u32_add 23 44 in Return () @@ -161,12 +161,12 @@ let test2 : result unit = (** Unit test for [no_nested_borrows::test2] *) let _ = assert_norm (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 *) let get_max (x : u32) (y : u32) : result u32 = if x >= 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 *) let test3 : result unit = let* x = get_max 4 3 in @@ -177,7 +177,7 @@ let test3 : result unit = (** Unit test for [no_nested_borrows::test3] *) let _ = assert_norm (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 *) let test_neg1 : result unit = let* y = i32_neg 3 in if not (y = -3) then Fail Failure else Return () @@ -185,7 +185,7 @@ let test_neg1 : result unit = (** Unit test for [no_nested_borrows::test_neg1] *) let _ = assert_norm (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 *) let refs_test1 : result unit = if not (1 = 1) then Fail Failure else Return () @@ -193,7 +193,7 @@ let refs_test1 : result unit = (** Unit test for [no_nested_borrows::refs_test1] *) let _ = assert_norm (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 *) let refs_test2 : result unit = if not (2 = 2) @@ -209,7 +209,7 @@ let refs_test2 : result unit = (** Unit test for [no_nested_borrows::refs_test2] *) let _ = assert_norm (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 *) let test_list1 : result unit = Return () @@ -217,33 +217,33 @@ let test_list1 : result unit = (** Unit test for [no_nested_borrows::test_list1] *) let _ = assert_norm (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 *) let test_box1 : result unit = - let b = 0 in - let* b0 = alloc_boxed_Box_deref_mut_back i32 b 1 in - let* x = alloc_boxed_Box_deref i32 b0 in + let* (_, deref_mut_back) = alloc_boxed_Box_deref_mut i32 0 in + let* b = deref_mut_back 1 in + let* x = alloc_boxed_Box_deref i32 b in if not (x = 1) then Fail Failure else Return () (** Unit test for [no_nested_borrows::test_box1] *) let _ = assert_norm (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 *) let 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 *) let test_unreachable (b : bool) : result unit = if b then Fail Failure else Return () -(** [no_nested_borrows::test_panic]: forward function +(** [no_nested_borrows::test_panic]: Source: 'src/no_nested_borrows.rs', lines 232:0-232:26 *) let test_panic (b : bool) : result unit = if b then Fail Failure else Return () -(** [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 *) let test_copy_int : result unit = let* y = copy_int 0 in if not (0 = y) then Fail Failure else Return () @@ -251,25 +251,24 @@ let test_copy_int : result unit = (** Unit test for [no_nested_borrows::test_copy_int] *) let _ = assert_norm (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 *) let is_cons (t : Type0) (l : list_t t) : result bool = begin match l with - | List_Cons x l0 -> Return true + | 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 *) let test_is_cons : result unit = - let l = List_Nil in - let* b = is_cons i32 (List_Cons 0 l) in + let* b = is_cons i32 (List_Cons 0 List_Nil) in if not b then Fail Failure else Return () (** Unit test for [no_nested_borrows::test_is_cons] *) let _ = assert_norm (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 *) let split_list (t : Type0) (l : list_t t) : result (t & (list_t t)) = begin match l with @@ -277,37 +276,33 @@ let split_list (t : Type0) (l : list_t t) : result (t & (list_t t)) = | List_Nil -> Fail Failure 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 *) let test_split_list : result unit = - let l = List_Nil in - let* p = split_list i32 (List_Cons 0 l) in + let* p = split_list i32 (List_Cons 0 List_Nil) in let (hd, _) = p in if not (hd = 0) then Fail Failure else Return () (** Unit test for [no_nested_borrows::test_split_list] *) let _ = assert_norm (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 *) -let choose (t : Type0) (b : bool) (x : t) (y : t) : result t = - if b then Return x else Return y +let choose + (t : Type0) (b : bool) (x : t) (y : t) : result (t & (t -> result (t & t))) = + if b + then let back_'a = fun ret -> Return (ret, y) in Return (x, back_'a) + else let back_'a = fun ret -> 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 *) -let choose_back - (t : Type0) (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 *) let choose_test : result unit = - let* z = choose i32 true 0 0 in - let* z0 = i32_add z 1 in - if not (z0 = 1) + let* (z, choose_back) = choose i32 true 0 0 in + let* z1 = i32_add z 1 in + if not (z1 = 1) then Fail Failure else - let* (x, y) = choose_back i32 true 0 0 z0 in + let* (x, y) = choose_back z1 in if not (x = 1) then Fail Failure else if not (y = 0) then Fail Failure else Return () @@ -315,7 +310,7 @@ let choose_test : result unit = (** Unit test for [no_nested_borrows::choose_test] *) let _ = assert_norm (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 *) let test_char : result char = Return 'a' @@ -332,50 +327,47 @@ and nodeElem_t (t : Type0) = | NodeElem_Cons : tree_t t -> nodeElem_t t -> nodeElem_t t | NodeElem_Nil : nodeElem_t t -(** [no_nested_borrows::list_length]: forward function +(** [no_nested_borrows::list_length]: Source: 'src/no_nested_borrows.rs', lines 339:0-339:48 *) let rec list_length (t : Type0) (l : list_t t) : result u32 = begin match l with - | List_Cons x l1 -> let* i = list_length t l1 in u32_add 1 i + | List_Cons _ l1 -> let* i = list_length t l1 in u32_add 1 i | List_Nil -> Return 0 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 *) let rec list_nth_shared (t : Type0) (l : list_t t) (i : u32) : result t = begin match l with | List_Cons x tl -> if i = 0 then Return x - else let* i0 = u32_sub i 1 in list_nth_shared t tl i0 - | List_Nil -> Fail Failure - end - -(** [no_nested_borrows::list_nth_mut]: forward function - Source: 'src/no_nested_borrows.rs', lines 363:0-363:67 *) -let rec list_nth_mut (t : Type0) (l : list_t t) (i : u32) : result t = - begin match l with - | List_Cons x tl -> - if i = 0 then Return x else let* i0 = u32_sub i 1 in list_nth_mut t tl i0 + else let* i1 = u32_sub i 1 in list_nth_shared t tl i1 | List_Nil -> Fail Failure end -(** [no_nested_borrows::list_nth_mut]: backward function 0 +(** [no_nested_borrows::list_nth_mut]: Source: 'src/no_nested_borrows.rs', lines 363:0-363:67 *) -let rec list_nth_mut_back - (t : Type0) (l : list_t t) (i : u32) (ret : t) : result (list_t t) = +let rec list_nth_mut + (t : Type0) (l : list_t t) (i : u32) : + result (t & (t -> result (list_t t))) + = begin match l with | List_Cons x tl -> if i = 0 - then Return (List_Cons ret tl) + then + let back_'a = fun ret -> Return (List_Cons ret tl) in Return (x, back_'a) else - let* i0 = u32_sub i 1 in - let* tl0 = list_nth_mut_back t tl i0 ret in - Return (List_Cons x tl0) + let* i1 = u32_sub i 1 in + let* (x1, list_nth_mut_back) = list_nth_mut t tl i1 in + let back_'a = + fun ret -> let* tl1 = list_nth_mut_back ret in Return (List_Cons x tl1) + in + Return (x1, 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 *) let rec list_rev_aux (t : Type0) (li : list_t t) (lo : list_t t) : result (list_t t) = @@ -384,120 +376,99 @@ let rec list_rev_aux | List_Nil -> Return lo 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 *) let list_rev (t : Type0) (l : list_t t) : result (list_t t) = - let li = core_mem_replace (list_t t) l List_Nil in list_rev_aux t li List_Nil + 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 *) let test_list_functions : result unit = - let l = List_Nil in - let l0 = List_Cons 2 l in - let l1 = List_Cons 1 l0 in + let l = List_Cons 2 List_Nil in + let l1 = List_Cons 1 l in let* i = list_length i32 (List_Cons 0 l1) in if not (i = 3) then Fail Failure else - let* i0 = list_nth_shared i32 (List_Cons 0 l1) 0 in - if not (i0 = 0) + let* i1 = list_nth_shared i32 (List_Cons 0 l1) 0 in + if not (i1 = 0) then Fail Failure else - let* i1 = list_nth_shared i32 (List_Cons 0 l1) 1 in - if not (i1 = 1) + let* i2 = list_nth_shared i32 (List_Cons 0 l1) 1 in + if not (i2 = 1) then Fail Failure else - let* i2 = list_nth_shared i32 (List_Cons 0 l1) 2 in - if not (i2 = 2) + let* i3 = list_nth_shared i32 (List_Cons 0 l1) 2 in + if not (i3 = 2) then Fail Failure else - let* ls = list_nth_mut_back i32 (List_Cons 0 l1) 1 3 in - let* i3 = list_nth_shared i32 ls 0 in - if not (i3 = 0) + let* (_, list_nth_mut_back) = list_nth_mut i32 (List_Cons 0 l1) 1 in + let* ls = list_nth_mut_back 3 in + let* i4 = list_nth_shared i32 ls 0 in + if not (i4 = 0) then Fail Failure else - let* i4 = list_nth_shared i32 ls 1 in - if not (i4 = 3) + let* i5 = list_nth_shared i32 ls 1 in + if not (i5 = 3) then Fail Failure else - let* i5 = list_nth_shared i32 ls 2 in - if not (i5 = 2) then Fail Failure else Return () + let* i6 = list_nth_shared i32 ls 2 in + if not (i6 = 2) then Fail Failure else Return () (** Unit test for [no_nested_borrows::test_list_functions] *) let _ = assert_norm (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 *) -let id_mut_pair1 (t1 t2 : Type0) (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 *) -let id_mut_pair1_back - (t1 t2 : Type0) (x : t1) (y : t2) (ret : (t1 & t2)) : result (t1 & t2) = - let (x0, x1) = ret in Return (x0, x1) - -(** [no_nested_borrows::id_mut_pair2]: forward function +let id_mut_pair1 + (t1 t2 : Type0) (x : t1) (y : t2) : + result ((t1 & t2) & ((t1 & t2) -> result (t1 & t2))) + = + let back_'a = fun ret -> let (x1, x2) = ret in Return (x1, x2) in + Return ((x, y), back_'a) + +(** [no_nested_borrows::id_mut_pair2]: Source: 'src/no_nested_borrows.rs', lines 418:0-418:88 *) -let id_mut_pair2 (t1 t2 : Type0) (p : (t1 & t2)) : result (t1 & t2) = - let (x, x0) = p in Return (x, x0) - -(** [no_nested_borrows::id_mut_pair2]: backward function 0 - Source: 'src/no_nested_borrows.rs', lines 418:0-418:88 *) -let id_mut_pair2_back - (t1 t2 : Type0) (p : (t1 & t2)) (ret : (t1 & t2)) : result (t1 & t2) = - let (x, x0) = ret in Return (x, x0) - -(** [no_nested_borrows::id_mut_pair3]: forward function +let id_mut_pair2 + (t1 t2 : Type0) (p : (t1 & t2)) : + result ((t1 & t2) & ((t1 & t2) -> result (t1 & t2))) + = + let (x, x1) = p in + let back_'a = fun ret -> let (x2, x3) = ret in Return (x2, x3) in + Return ((x, x1), back_'a) + +(** [no_nested_borrows::id_mut_pair3]: Source: 'src/no_nested_borrows.rs', lines 422:0-422:93 *) -let id_mut_pair3 (t1 t2 : Type0) (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 *) -let id_mut_pair3_back'a - (t1 t2 : Type0) (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 *) -let id_mut_pair3_back'b - (t1 t2 : Type0) (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 *) -let id_mut_pair4 (t1 t2 : Type0) (p : (t1 & t2)) : result (t1 & t2) = - let (x, x0) = p in Return (x, x0) +let id_mut_pair3 + (t1 t2 : Type0) (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 *) -let id_mut_pair4_back'a - (t1 t2 : Type0) (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 *) -let id_mut_pair4_back'b - (t1 t2 : Type0) (p : (t1 & t2)) (ret : t2) : result t2 = - Return ret +let id_mut_pair4 + (t1 t2 : Type0) (p : (t1 & t2)) : + result ((t1 & t2) & (t1 -> result t1) & (t2 -> result t2)) + = + let (x, x1) = p in Return ((x, x1), Return, Return) (** [no_nested_borrows::StructWithTuple] Source: 'src/no_nested_borrows.rs', lines 433:0-433:34 *) type structWithTuple_t (t1 t2 : Type0) = { p : (t1 & t2); } -(** [no_nested_borrows::new_tuple1]: forward function +(** [no_nested_borrows::new_tuple1]: Source: 'src/no_nested_borrows.rs', lines 437:0-437:48 *) let new_tuple1 : result (structWithTuple_t u32 u32) = Return { p = (1, 2) } -(** [no_nested_borrows::new_tuple2]: forward function +(** [no_nested_borrows::new_tuple2]: Source: 'src/no_nested_borrows.rs', lines 441:0-441:48 *) let new_tuple2 : result (structWithTuple_t i16 i16) = Return { p = (1, 2) } -(** [no_nested_borrows::new_tuple3]: forward function +(** [no_nested_borrows::new_tuple3]: Source: 'src/no_nested_borrows.rs', lines 445:0-445:48 *) let new_tuple3 : result (structWithTuple_t u64 i64) = Return { p = (1, 2) } @@ -506,12 +477,12 @@ let new_tuple3 : result (structWithTuple_t u64 i64) = Source: 'src/no_nested_borrows.rs', lines 450:0-450:33 *) type structWithPair_t (t1 t2 : Type0) = { p : pair_t t1 t2; } -(** [no_nested_borrows::new_pair1]: forward function +(** [no_nested_borrows::new_pair1]: Source: 'src/no_nested_borrows.rs', lines 454:0-454:46 *) let new_pair1 : result (structWithPair_t u32 u32) = Return { p = { x = 1; y = 2 } } -(** [no_nested_borrows::test_constants]: forward function +(** [no_nested_borrows::test_constants]: Source: 'src/no_nested_borrows.rs', lines 462:0-462:23 *) let test_constants : result unit = let* swt = new_tuple1 in @@ -519,14 +490,14 @@ let test_constants : result unit = if not (i = 1) then Fail Failure else - let* swt0 = new_tuple2 in - let (i0, _) = swt0.p in - if not (i0 = 1) + let* swt1 = new_tuple2 in + let (i1, _) = swt1.p in + if not (i1 = 1) then Fail Failure else - let* swt1 = new_tuple3 in - let (i1, _) = swt1.p in - if not (i1 = 1) + let* swt2 = new_tuple3 in + let (i2, _) = swt2.p in + if not (i2 = 1) then Fail Failure else let* swp = new_pair1 in @@ -535,7 +506,7 @@ let test_constants : result unit = (** Unit test for [no_nested_borrows::test_constants] *) let _ = assert_norm (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 *) let test_weird_borrows1 : result unit = Return () @@ -543,59 +514,72 @@ let test_weird_borrows1 : result unit = (** Unit test for [no_nested_borrows::test_weird_borrows1] *) let _ = assert_norm (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 *) let test_mem_replace (px : u32) : result u32 = - let y = core_mem_replace u32 px 1 in + let (y, _) = core_mem_replace u32 px 1 in if not (y = 0) then Fail Failure else Return 2 -(** [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 *) let test_shared_borrow_bool1 (b : bool) : result u32 = if b then Return 0 else Return 1 -(** [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 *) let test_shared_borrow_bool2 : result u32 = Return 0 -(** [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 *) let test_shared_borrow_enum1 (l : list_t u32) : result u32 = - begin match l with | List_Cons i l0 -> Return 1 | List_Nil -> Return 0 end + begin match l with | List_Cons _ _ -> Return 1 | List_Nil -> Return 0 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 *) let test_shared_borrow_enum2 : result u32 = Return 0 -(** [no_nested_borrows::Tuple] +(** [no_nested_borrows::incr]: Source: 'src/no_nested_borrows.rs', lines 539:0-539:24 *) +let incr (x : u32) : result u32 = + u32_add x 1 + +(** [no_nested_borrows::call_incr]: + Source: 'src/no_nested_borrows.rs', lines 543:0-543:35 *) +let 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 *) +let read_then_incr (x : u32) : result (u32 & u32) = + let* x1 = u32_add x 1 in Return (x, x1) + +(** [no_nested_borrows::Tuple] + Source: 'src/no_nested_borrows.rs', lines 554:0-554:24 *) type tuple_t (t1 t2 : Type0) = 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 *) let use_tuple_struct (x : tuple_t u32 u32) : result (tuple_t u32 u32) = let (_, i) = x in Return (1, 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 *) let 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 *) type idType_t (t : Type0) = 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 *) let use_id_type (t : Type0) (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 *) let create_id_type (t : Type0) (x : t) : result (idType_t t) = Return x diff --git a/tests/fstar/misc/Paper.fst b/tests/fstar/misc/Paper.fst index 14bc59e8..cf4dc454 100644 --- a/tests/fstar/misc/Paper.fst +++ b/tests/fstar/misc/Paper.fst @@ -5,40 +5,36 @@ open Primitives #set-options "--z3rlimit 50 --fuel 1 --ifuel 1" -(** [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 *) let ref_incr (x : i32) : result i32 = i32_add x 1 -(** [paper::test_incr]: forward function +(** [paper::test_incr]: Source: 'src/paper.rs', lines 8:0-8:18 *) let test_incr : result unit = - let* x = ref_incr 0 in if not (x = 1) then Fail Failure else Return () + let* i = ref_incr 0 in if not (i = 1) then Fail Failure else Return () (** Unit test for [paper::test_incr] *) let _ = assert_norm (test_incr = Return ()) -(** [paper::choose]: forward function +(** [paper::choose]: Source: 'src/paper.rs', lines 15:0-15:70 *) -let choose (t : Type0) (b : bool) (x : t) (y : t) : result t = - if b then Return x else Return y +let choose + (t : Type0) (b : bool) (x : t) (y : t) : result (t & (t -> result (t & t))) = + if b + then let back_'a = fun ret -> Return (ret, y) in Return (x, back_'a) + else let back_'a = fun ret -> Return (x, ret) in Return (y, back_'a) -(** [paper::choose]: backward function 0 - Source: 'src/paper.rs', lines 15:0-15:70 *) -let choose_back - (t : Type0) (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 *) let test_choose : result unit = - let* z = choose i32 true 0 0 in - let* z0 = i32_add z 1 in - if not (z0 = 1) + let* (z, choose_back) = choose i32 true 0 0 in + let* z1 = i32_add z 1 in + if not (z1 = 1) then Fail Failure else - let* (x, y) = choose_back i32 true 0 0 z0 in + let* (x, y) = choose_back z1 in if not (x = 1) then Fail Failure else if not (y = 0) then Fail Failure else Return () @@ -52,31 +48,28 @@ type list_t (t : Type0) = | List_Cons : t -> list_t t -> list_t t | List_Nil : list_t t -(** [paper::list_nth_mut]: forward function - Source: 'src/paper.rs', lines 42:0-42:67 *) -let rec list_nth_mut (t : Type0) (l : list_t t) (i : u32) : result t = - begin match l with - | List_Cons x tl -> - if i = 0 then Return x else let* i0 = u32_sub i 1 in 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 *) -let rec list_nth_mut_back - (t : Type0) (l : list_t t) (i : u32) (ret : t) : result (list_t t) = +let rec list_nth_mut + (t : Type0) (l : list_t t) (i : u32) : + result (t & (t -> result (list_t t))) + = begin match l with | List_Cons x tl -> if i = 0 - then Return (List_Cons ret tl) + then + let back_'a = fun ret -> Return (List_Cons ret tl) in Return (x, back_'a) else - let* i0 = u32_sub i 1 in - let* tl0 = list_nth_mut_back t tl i0 ret in - Return (List_Cons x tl0) + let* i1 = u32_sub i 1 in + let* (x1, list_nth_mut_back) = list_nth_mut t tl i1 in + let back_'a = + fun ret -> let* tl1 = list_nth_mut_back ret in Return (List_Cons x tl1) + in + Return (x1, back_'a) | List_Nil -> Fail Failure end -(** [paper::sum]: forward function +(** [paper::sum]: Source: 'src/paper.rs', lines 57:0-57:32 *) let rec sum (l : list_t i32) : result i32 = begin match l with @@ -84,27 +77,26 @@ let rec sum (l : list_t i32) : result i32 = | List_Nil -> Return 0 end -(** [paper::test_nth]: forward function +(** [paper::test_nth]: Source: 'src/paper.rs', lines 68:0-68:17 *) let test_nth : result unit = - let l = List_Nil in - let l0 = List_Cons 3 l in - let l1 = List_Cons 2 l0 in - let* x = list_nth_mut i32 (List_Cons 1 l1) 2 in - let* x0 = i32_add x 1 in - let* l2 = list_nth_mut_back i32 (List_Cons 1 l1) 2 x0 in + let l = List_Cons 3 List_Nil in + let l1 = List_Cons 2 l in + let* (x, list_nth_mut_back) = list_nth_mut i32 (List_Cons 1 l1) 2 in + let* x1 = i32_add x 1 in + let* l2 = list_nth_mut_back x1 in let* i = sum l2 in if not (i = 7) then Fail Failure else Return () (** Unit test for [paper::test_nth] *) let _ = assert_norm (test_nth = Return ()) -(** [paper::call_choose]: forward function +(** [paper::call_choose]: Source: 'src/paper.rs', lines 76:0-76:44 *) let call_choose (p : (u32 & u32)) : result u32 = let (px, py) = p in - let* pz = choose u32 true px py in - let* pz0 = u32_add pz 1 in - let* (px0, _) = choose_back u32 true px py pz0 in - Return px0 + let* (pz, choose_back) = choose u32 true px py in + let* pz1 = u32_add pz 1 in + let* (px1, _) = choose_back pz1 in + Return px1 diff --git a/tests/fstar/misc/PoloniusList.fst b/tests/fstar/misc/PoloniusList.fst index 188b22d8..b477802b 100644 --- a/tests/fstar/misc/PoloniusList.fst +++ b/tests/fstar/misc/PoloniusList.fst @@ -11,24 +11,22 @@ type list_t (t : Type0) = | List_Cons : t -> list_t t -> list_t t | List_Nil : list_t t -(** [polonius_list::get_list_at_x]: forward function +(** [polonius_list::get_list_at_x]: Source: 'src/polonius_list.rs', lines 13:0-13:76 *) -let rec get_list_at_x (ls : list_t u32) (x : u32) : result (list_t u32) = - begin match ls with - | List_Cons hd tl -> - if hd = 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 *) -let rec get_list_at_x_back - (ls : list_t u32) (x : u32) (ret : list_t u32) : result (list_t u32) = +let rec get_list_at_x + (ls : list_t u32) (x : u32) : + result ((list_t u32) & (list_t u32 -> result (list_t u32))) + = begin match ls with | List_Cons hd tl -> if hd = x - then Return ret - else let* tl0 = get_list_at_x_back tl x ret in Return (List_Cons hd tl0) - | List_Nil -> Return ret + then Return (List_Cons hd tl, Return) + else + let* (l, get_list_at_x_back) = get_list_at_x tl x in + let back_'a = + fun ret -> + let* tl1 = get_list_at_x_back ret in Return (List_Cons hd tl1) in + Return (l, back_'a) + | List_Nil -> Return (List_Nil, Return) end diff --git a/tests/fstar/misc/Primitives.fst b/tests/fstar/misc/Primitives.fst index a3ffbde4..fca80829 100644 --- a/tests/fstar/misc/Primitives.fst +++ b/tests/fstar/misc/Primitives.fst @@ -55,8 +55,7 @@ type string = string let is_zero (n: nat) : bool = n = 0 let decrease (n: nat{n > 0}) : nat = n - 1 -let core_mem_replace (a : Type0) (x : a) (y : a) : a = x -let core_mem_replace_back (a : Type0) (x : a) (y : a) : a = y +let core_mem_replace (a : Type0) (x : a) (y : a) : a & a = (x, x) // We don't really use raw pointers for now type mut_raw_ptr (t : Type0) = { v : t } @@ -477,8 +476,7 @@ noeq type core_ops_index_Index (self idx : Type0) = { // Trait declaration: [core::ops::index::IndexMut] noeq type core_ops_index_IndexMut (self idx : Type0) = { indexInst : core_ops_index_Index self idx; - index_mut : self → idx → result indexInst.output; - index_mut_back : self → idx → indexInst.output → result self; + index_mut : self → idx → result (indexInst.output & (indexInst.output → result self)); } // Trait declaration [core::ops::deref::Deref] @@ -490,8 +488,7 @@ noeq type core_ops_deref_Deref (self : Type0) = { // Trait declaration [core::ops::deref::DerefMut] noeq type core_ops_deref_DerefMut (self : Type0) = { derefInst : core_ops_deref_Deref self; - deref_mut : self → result derefInst.target; - deref_mut_back : self → derefInst.target → result self; + deref_mut : self → result (derefInst.target & (derefInst.target → result self)); } type core_ops_range_Range (a : Type0) = { @@ -502,8 +499,8 @@ type core_ops_range_Range (a : Type0) = { (*** [alloc] *) let alloc_boxed_Box_deref (t : Type0) (x : t) : result t = Return x -let alloc_boxed_Box_deref_mut (t : Type0) (x : t) : result t = Return x -let alloc_boxed_Box_deref_mut_back (t : Type) (_ : t) (x : t) : result t = Return x +let alloc_boxed_Box_deref_mut (t : Type0) (x : t) : result (t & (t -> result t)) = + Return (x, (fun x -> Return x)) // Trait instance let alloc_boxed_Box_coreopsDerefInst (self : Type0) : core_ops_deref_Deref self = { @@ -515,7 +512,6 @@ let alloc_boxed_Box_coreopsDerefInst (self : Type0) : core_ops_deref_Deref self let alloc_boxed_Box_coreopsDerefMutInst (self : Type0) : core_ops_deref_DerefMut self = { derefInst = alloc_boxed_Box_coreopsDerefInst self; deref_mut = alloc_boxed_Box_deref_mut self; - deref_mut_back = alloc_boxed_Box_deref_mut_back self; } (*** Array *) @@ -535,10 +531,18 @@ let array_index_usize (a : Type0) (n : usize) (x : array a n) (i : usize) : resu if i < length x then Return (index x i) else Fail Failure -let array_update_usize (a : Type0) (n : usize) (x : array a n) (i : usize) (nx : a) : result (array a n) = +let array_update_usize (a : Type0) (n : usize) (x : array a n) (i : usize) (nx : a) : + result (array a n) = if i < length x then Return (list_update x i nx) else Fail Failure +let array_index_mut_usize (a : Type0) (n : usize) (x : array a n) (i : usize) : + result (a & (a -> result (array a n))) = + match array_index_usize a n x i with + | Fail e -> Fail e + | Return v -> + Return (v, array_update_usize a n x i) + (*** Slice *) type slice (a : Type0) = s:list a{length s <= usize_max} @@ -552,6 +556,13 @@ let slice_update_usize (a : Type0) (x : slice a) (i : usize) (nx : a) : result ( if i < length x then Return (list_update x i nx) else Fail Failure +let slice_index_mut_usize (a : Type0) (s : slice a) (i : usize) : + result (a & (a -> result (slice a))) = + match slice_index_usize a s i with + | Fail e -> Fail e + | Return x -> + Return (x, slice_update_usize a s i) + (*** Subslices *) let array_to_slice (a : Type0) (n : usize) (x : array a n) : result (slice a) = Return x @@ -559,6 +570,10 @@ let array_from_slice (a : Type0) (n : usize) (x : array a n) (s : slice a) : res if length s = n then Return s else Fail Failure +let array_to_slice_mut (a : Type0) (n : usize) (x : array a n) : + result (slice a & (slice a -> result (array a n))) = + Return (x, array_from_slice a n x) + // TODO: finish the definitions below (there lacks [List.drop] and [List.take] in the standard library *) let array_subslice (a : Type0) (n : usize) (x : array a n) (r : core_ops_range_Range usize) : result (slice a) = admit() @@ -588,8 +603,13 @@ let alloc_vec_Vec_index_usize (#a : Type0) (v : alloc_vec_Vec a) (i : usize) : r let alloc_vec_Vec_update_usize (#a : Type0) (v : alloc_vec_Vec a) (i : usize) (x : a) : result (alloc_vec_Vec a) = if i < length v then Return (list_update v i x) else Fail Failure -// The **forward** function shouldn't be used -let alloc_vec_Vec_push_fwd (a : Type0) (v : alloc_vec_Vec a) (x : a) : unit = () +let alloc_vec_Vec_index_mut_usize (#a : Type0) (v: alloc_vec_Vec a) (i: usize) : + result (a & (a → result (alloc_vec_Vec a))) = + match alloc_vec_Vec_index_usize v i with + | Return x -> + Return (x, alloc_vec_Vec_update_usize v i) + | Fail e -> Fail e + let alloc_vec_Vec_push (a : Type0) (v : alloc_vec_Vec a) (x : a) : Pure (result (alloc_vec_Vec a)) (requires True) @@ -605,9 +625,6 @@ let alloc_vec_Vec_push (a : Type0) (v : alloc_vec_Vec a) (x : a) : end else Fail Failure -// The **forward** function shouldn't be used -let alloc_vec_Vec_insert_fwd (a : Type0) (v : alloc_vec_Vec a) (i : usize) (x : a) : result unit = - if i < length v then Return () else Fail Failure let alloc_vec_Vec_insert (a : Type0) (v : alloc_vec_Vec a) (i : usize) (x : a) : result (alloc_vec_Vec a) = if i < length v then Return (list_update v i x) else Fail Failure @@ -619,13 +636,11 @@ noeq type core_slice_index_SliceIndex (self t : Type0) = { sealedInst : core_slice_index_private_slice_index_Sealed self; output : Type0; get : self → t → result (option output); - get_mut : self → t → result (option output); - get_mut_back : self → t → option output → result t; + get_mut : self → t → result (option output & (option output -> result t)); get_unchecked : self → const_raw_ptr t → result (const_raw_ptr output); get_unchecked_mut : self → mut_raw_ptr t → result (mut_raw_ptr output); index : self → t → result output; - index_mut : self → t → result output; - index_mut_back : self → t → output → result t; + index_mut : self → t → result (output & (output -> result t)); } // [core::slice::index::[T]::index]: forward function @@ -643,14 +658,8 @@ let core_slice_index_RangeUsize_get (t : Type0) (i : core_ops_range_Range usize) admit () // TODO // [core::slice::index::Range::get_mut]: forward function -let core_slice_index_RangeUsize_get_mut - (t : Type0) : core_ops_range_Range usize → slice t → result (option (slice t)) = - admit () // TODO - -// [core::slice::index::Range::get_mut]: backward function 0 -let core_slice_index_RangeUsize_get_mut_back - (t : Type0) : - core_ops_range_Range usize → slice t → option (slice t) → result (slice t) = +let core_slice_index_RangeUsize_get_mut (t : Type0) : + core_ops_range_Range usize → slice t → result (option (slice t) & (option (slice t) -> result (slice t))) = admit () // TODO // [core::slice::index::Range::get_unchecked]: forward function @@ -675,27 +684,16 @@ let core_slice_index_RangeUsize_index admit () // TODO // [core::slice::index::Range::index_mut]: forward function -let core_slice_index_RangeUsize_index_mut - (t : Type0) : core_ops_range_Range usize → slice t → result (slice t) = - admit () // TODO - -// [core::slice::index::Range::index_mut]: backward function 0 -let core_slice_index_RangeUsize_index_mut_back - (t : Type0) : core_ops_range_Range usize → slice t → slice t → result (slice t) = +let core_slice_index_RangeUsize_index_mut (t : Type0) : + core_ops_range_Range usize → slice t → result (slice t & (slice t -> result (slice t))) = admit () // TODO // [core::slice::index::[T]::index_mut]: forward function let core_slice_index_Slice_index_mut (t idx : Type0) (inst : core_slice_index_SliceIndex idx (slice t)) : - slice t → idx → result inst.output = + slice t → idx → result (inst.output & (inst.output -> result (slice t))) = admit () // -// [core::slice::index::[T]::index_mut]: backward function 0 -let core_slice_index_Slice_index_mut_back - (t idx : Type0) (inst : core_slice_index_SliceIndex idx (slice t)) : - slice t → idx → inst.output → result (slice t) = - admit () // TODO - // [core::array::[T; N]::index]: forward function let core_array_Array_index (t idx : Type0) (n : usize) (inst : core_ops_index_Index (slice t) idx) @@ -705,13 +703,8 @@ let core_array_Array_index // [core::array::[T; N]::index_mut]: forward function let core_array_Array_index_mut (t idx : Type0) (n : usize) (inst : core_ops_index_IndexMut (slice t) idx) - (a : array t n) (i : idx) : result inst.indexInst.output = - admit () // TODO - -// [core::array::[T; N]::index_mut]: backward function 0 -let core_array_Array_index_mut_back - (t idx : Type0) (n : usize) (inst : core_ops_index_IndexMut (slice t) idx) - (a : array t n) (i : idx) (x : inst.indexInst.output) : result (array t n) = + (a : array t n) (i : idx) : + result (inst.indexInst.output & (inst.indexInst.output -> result (array t n))) = admit () // TODO // Trait implementation: [core::slice::index::private_slice_index::Range] @@ -725,12 +718,10 @@ let core_slice_index_SliceIndexRangeUsizeSliceTInst (t : Type0) : output = slice t; get = core_slice_index_RangeUsize_get t; get_mut = core_slice_index_RangeUsize_get_mut t; - get_mut_back = core_slice_index_RangeUsize_get_mut_back t; get_unchecked = core_slice_index_RangeUsize_get_unchecked t; get_unchecked_mut = core_slice_index_RangeUsize_get_unchecked_mut t; index = core_slice_index_RangeUsize_index t; index_mut = core_slice_index_RangeUsize_index_mut t; - index_mut_back = core_slice_index_RangeUsize_index_mut_back t; } // Trait implementation: [core::slice::index::[T]] @@ -747,7 +738,6 @@ let core_ops_index_IndexMutSliceTIInst (t idx : Type0) core_ops_index_IndexMut (slice t) idx = { indexInst = core_ops_index_IndexSliceTIInst t idx inst; index_mut = core_slice_index_Slice_index_mut t idx inst; - index_mut_back = core_slice_index_Slice_index_mut_back t idx inst; } // Trait implementation: [core::array::[T; N]] @@ -764,7 +754,6 @@ let core_ops_index_IndexMutArrayIInst (t idx : Type0) (n : usize) core_ops_index_IndexMut (array t n) idx = { indexInst = core_ops_index_IndexArrayInst t idx n inst.indexInst; index_mut = core_array_Array_index_mut t idx n inst; - index_mut_back = core_array_Array_index_mut_back t idx n inst; } // [core::slice::index::usize::get]: forward function @@ -773,13 +762,8 @@ let core_slice_index_usize_get admit () // TODO // [core::slice::index::usize::get_mut]: forward function -let core_slice_index_usize_get_mut - (t : Type0) : usize → slice t → result (option t) = - admit () // TODO - -// [core::slice::index::usize::get_mut]: backward function 0 -let core_slice_index_usize_get_mut_back - (t : Type0) : usize → slice t → option t → result (slice t) = +let core_slice_index_usize_get_mut (t : Type0) : + usize → slice t → result (option t & (option t -> result (slice t))) = admit () // TODO // [core::slice::index::usize::get_unchecked]: forward function @@ -797,12 +781,8 @@ let core_slice_index_usize_index (t : Type0) : usize → slice t → result t = admit () // TODO // [core::slice::index::usize::index_mut]: forward function -let core_slice_index_usize_index_mut (t : Type0) : usize → slice t → result t = - admit () // TODO - -// [core::slice::index::usize::index_mut]: backward function 0 -let core_slice_index_usize_index_mut_back - (t : Type0) : usize → slice t → t → result (slice t) = +let core_slice_index_usize_index_mut (t : Type0) : + usize → slice t → result (t & (t -> result (slice t))) = admit () // TODO // Trait implementation: [core::slice::index::private_slice_index::usize] @@ -816,12 +796,10 @@ let core_slice_index_SliceIndexUsizeSliceTInst (t : Type0) : output = t; get = core_slice_index_usize_get t; get_mut = core_slice_index_usize_get_mut t; - get_mut_back = core_slice_index_usize_get_mut_back t; get_unchecked = core_slice_index_usize_get_unchecked t; get_unchecked_mut = core_slice_index_usize_get_unchecked_mut t; index = core_slice_index_usize_index t; index_mut = core_slice_index_usize_index_mut t; - index_mut_back = core_slice_index_usize_index_mut_back t; } // [alloc::vec::Vec::index]: forward function @@ -831,13 +809,8 @@ let alloc_vec_Vec_index (t idx : Type0) (inst : core_slice_index_SliceIndex idx // [alloc::vec::Vec::index_mut]: forward function let alloc_vec_Vec_index_mut (t idx : Type0) (inst : core_slice_index_SliceIndex idx (slice t)) - (self : alloc_vec_Vec t) (i : idx) : result inst.output = - admit () // TODO - -// [alloc::vec::Vec::index_mut]: backward function 0 -let alloc_vec_Vec_index_mut_back - (t idx : Type0) (inst : core_slice_index_SliceIndex idx (slice t)) - (self : alloc_vec_Vec t) (i : idx) (x : inst.output) : result (alloc_vec_Vec t) = + (self : alloc_vec_Vec t) (i : idx) : + result (inst.output & (inst.output -> result (alloc_vec_Vec t))) = admit () // TODO // Trait implementation: [alloc::vec::Vec] @@ -854,7 +827,6 @@ let alloc_vec_Vec_coreopsindexIndexMutInst (t idx : Type0) core_ops_index_IndexMut (alloc_vec_Vec t) idx = { indexInst = alloc_vec_Vec_coreopsindexIndexInst t idx inst; index_mut = alloc_vec_Vec_index_mut t idx inst; - index_mut_back = alloc_vec_Vec_index_mut_back t idx inst; } (*** Theorems *) @@ -870,15 +842,7 @@ let alloc_vec_Vec_index_eq (#a : Type0) (v : alloc_vec_Vec a) (i : usize) : let alloc_vec_Vec_index_mut_eq (#a : Type0) (v : alloc_vec_Vec a) (i : usize) : Lemma ( alloc_vec_Vec_index_mut a usize (core_slice_index_SliceIndexUsizeSliceTInst a) v i == - alloc_vec_Vec_index_usize v i) + alloc_vec_Vec_index_mut_usize v i) [SMTPat (alloc_vec_Vec_index_mut a usize (core_slice_index_SliceIndexUsizeSliceTInst a) v i)] = admit() - -let alloc_vec_Vec_index_mut_back_eq (#a : Type0) (v : alloc_vec_Vec a) (i : usize) (x : a) : - Lemma ( - alloc_vec_Vec_index_mut_back a usize (core_slice_index_SliceIndexUsizeSliceTInst a) v i x == - alloc_vec_Vec_update_usize v i x) - [SMTPat (alloc_vec_Vec_index_mut_back a usize (core_slice_index_SliceIndexUsizeSliceTInst a) v i x)] - = - admit() diff --git a/tests/fstar/traits/Primitives.fst b/tests/fstar/traits/Primitives.fst index a3ffbde4..fca80829 100644 --- a/tests/fstar/traits/Primitives.fst +++ b/tests/fstar/traits/Primitives.fst @@ -55,8 +55,7 @@ type string = string let is_zero (n: nat) : bool = n = 0 let decrease (n: nat{n > 0}) : nat = n - 1 -let core_mem_replace (a : Type0) (x : a) (y : a) : a = x -let core_mem_replace_back (a : Type0) (x : a) (y : a) : a = y +let core_mem_replace (a : Type0) (x : a) (y : a) : a & a = (x, x) // We don't really use raw pointers for now type mut_raw_ptr (t : Type0) = { v : t } @@ -477,8 +476,7 @@ noeq type core_ops_index_Index (self idx : Type0) = { // Trait declaration: [core::ops::index::IndexMut] noeq type core_ops_index_IndexMut (self idx : Type0) = { indexInst : core_ops_index_Index self idx; - index_mut : self → idx → result indexInst.output; - index_mut_back : self → idx → indexInst.output → result self; + index_mut : self → idx → result (indexInst.output & (indexInst.output → result self)); } // Trait declaration [core::ops::deref::Deref] @@ -490,8 +488,7 @@ noeq type core_ops_deref_Deref (self : Type0) = { // Trait declaration [core::ops::deref::DerefMut] noeq type core_ops_deref_DerefMut (self : Type0) = { derefInst : core_ops_deref_Deref self; - deref_mut : self → result derefInst.target; - deref_mut_back : self → derefInst.target → result self; + deref_mut : self → result (derefInst.target & (derefInst.target → result self)); } type core_ops_range_Range (a : Type0) = { @@ -502,8 +499,8 @@ type core_ops_range_Range (a : Type0) = { (*** [alloc] *) let alloc_boxed_Box_deref (t : Type0) (x : t) : result t = Return x -let alloc_boxed_Box_deref_mut (t : Type0) (x : t) : result t = Return x -let alloc_boxed_Box_deref_mut_back (t : Type) (_ : t) (x : t) : result t = Return x +let alloc_boxed_Box_deref_mut (t : Type0) (x : t) : result (t & (t -> result t)) = + Return (x, (fun x -> Return x)) // Trait instance let alloc_boxed_Box_coreopsDerefInst (self : Type0) : core_ops_deref_Deref self = { @@ -515,7 +512,6 @@ let alloc_boxed_Box_coreopsDerefInst (self : Type0) : core_ops_deref_Deref self let alloc_boxed_Box_coreopsDerefMutInst (self : Type0) : core_ops_deref_DerefMut self = { derefInst = alloc_boxed_Box_coreopsDerefInst self; deref_mut = alloc_boxed_Box_deref_mut self; - deref_mut_back = alloc_boxed_Box_deref_mut_back self; } (*** Array *) @@ -535,10 +531,18 @@ let array_index_usize (a : Type0) (n : usize) (x : array a n) (i : usize) : resu if i < length x then Return (index x i) else Fail Failure -let array_update_usize (a : Type0) (n : usize) (x : array a n) (i : usize) (nx : a) : result (array a n) = +let array_update_usize (a : Type0) (n : usize) (x : array a n) (i : usize) (nx : a) : + result (array a n) = if i < length x then Return (list_update x i nx) else Fail Failure +let array_index_mut_usize (a : Type0) (n : usize) (x : array a n) (i : usize) : + result (a & (a -> result (array a n))) = + match array_index_usize a n x i with + | Fail e -> Fail e + | Return v -> + Return (v, array_update_usize a n x i) + (*** Slice *) type slice (a : Type0) = s:list a{length s <= usize_max} @@ -552,6 +556,13 @@ let slice_update_usize (a : Type0) (x : slice a) (i : usize) (nx : a) : result ( if i < length x then Return (list_update x i nx) else Fail Failure +let slice_index_mut_usize (a : Type0) (s : slice a) (i : usize) : + result (a & (a -> result (slice a))) = + match slice_index_usize a s i with + | Fail e -> Fail e + | Return x -> + Return (x, slice_update_usize a s i) + (*** Subslices *) let array_to_slice (a : Type0) (n : usize) (x : array a n) : result (slice a) = Return x @@ -559,6 +570,10 @@ let array_from_slice (a : Type0) (n : usize) (x : array a n) (s : slice a) : res if length s = n then Return s else Fail Failure +let array_to_slice_mut (a : Type0) (n : usize) (x : array a n) : + result (slice a & (slice a -> result (array a n))) = + Return (x, array_from_slice a n x) + // TODO: finish the definitions below (there lacks [List.drop] and [List.take] in the standard library *) let array_subslice (a : Type0) (n : usize) (x : array a n) (r : core_ops_range_Range usize) : result (slice a) = admit() @@ -588,8 +603,13 @@ let alloc_vec_Vec_index_usize (#a : Type0) (v : alloc_vec_Vec a) (i : usize) : r let alloc_vec_Vec_update_usize (#a : Type0) (v : alloc_vec_Vec a) (i : usize) (x : a) : result (alloc_vec_Vec a) = if i < length v then Return (list_update v i x) else Fail Failure -// The **forward** function shouldn't be used -let alloc_vec_Vec_push_fwd (a : Type0) (v : alloc_vec_Vec a) (x : a) : unit = () +let alloc_vec_Vec_index_mut_usize (#a : Type0) (v: alloc_vec_Vec a) (i: usize) : + result (a & (a → result (alloc_vec_Vec a))) = + match alloc_vec_Vec_index_usize v i with + | Return x -> + Return (x, alloc_vec_Vec_update_usize v i) + | Fail e -> Fail e + let alloc_vec_Vec_push (a : Type0) (v : alloc_vec_Vec a) (x : a) : Pure (result (alloc_vec_Vec a)) (requires True) @@ -605,9 +625,6 @@ let alloc_vec_Vec_push (a : Type0) (v : alloc_vec_Vec a) (x : a) : end else Fail Failure -// The **forward** function shouldn't be used -let alloc_vec_Vec_insert_fwd (a : Type0) (v : alloc_vec_Vec a) (i : usize) (x : a) : result unit = - if i < length v then Return () else Fail Failure let alloc_vec_Vec_insert (a : Type0) (v : alloc_vec_Vec a) (i : usize) (x : a) : result (alloc_vec_Vec a) = if i < length v then Return (list_update v i x) else Fail Failure @@ -619,13 +636,11 @@ noeq type core_slice_index_SliceIndex (self t : Type0) = { sealedInst : core_slice_index_private_slice_index_Sealed self; output : Type0; get : self → t → result (option output); - get_mut : self → t → result (option output); - get_mut_back : self → t → option output → result t; + get_mut : self → t → result (option output & (option output -> result t)); get_unchecked : self → const_raw_ptr t → result (const_raw_ptr output); get_unchecked_mut : self → mut_raw_ptr t → result (mut_raw_ptr output); index : self → t → result output; - index_mut : self → t → result output; - index_mut_back : self → t → output → result t; + index_mut : self → t → result (output & (output -> result t)); } // [core::slice::index::[T]::index]: forward function @@ -643,14 +658,8 @@ let core_slice_index_RangeUsize_get (t : Type0) (i : core_ops_range_Range usize) admit () // TODO // [core::slice::index::Range::get_mut]: forward function -let core_slice_index_RangeUsize_get_mut - (t : Type0) : core_ops_range_Range usize → slice t → result (option (slice t)) = - admit () // TODO - -// [core::slice::index::Range::get_mut]: backward function 0 -let core_slice_index_RangeUsize_get_mut_back - (t : Type0) : - core_ops_range_Range usize → slice t → option (slice t) → result (slice t) = +let core_slice_index_RangeUsize_get_mut (t : Type0) : + core_ops_range_Range usize → slice t → result (option (slice t) & (option (slice t) -> result (slice t))) = admit () // TODO // [core::slice::index::Range::get_unchecked]: forward function @@ -675,27 +684,16 @@ let core_slice_index_RangeUsize_index admit () // TODO // [core::slice::index::Range::index_mut]: forward function -let core_slice_index_RangeUsize_index_mut - (t : Type0) : core_ops_range_Range usize → slice t → result (slice t) = - admit () // TODO - -// [core::slice::index::Range::index_mut]: backward function 0 -let core_slice_index_RangeUsize_index_mut_back - (t : Type0) : core_ops_range_Range usize → slice t → slice t → result (slice t) = +let core_slice_index_RangeUsize_index_mut (t : Type0) : + core_ops_range_Range usize → slice t → result (slice t & (slice t -> result (slice t))) = admit () // TODO // [core::slice::index::[T]::index_mut]: forward function let core_slice_index_Slice_index_mut (t idx : Type0) (inst : core_slice_index_SliceIndex idx (slice t)) : - slice t → idx → result inst.output = + slice t → idx → result (inst.output & (inst.output -> result (slice t))) = admit () // -// [core::slice::index::[T]::index_mut]: backward function 0 -let core_slice_index_Slice_index_mut_back - (t idx : Type0) (inst : core_slice_index_SliceIndex idx (slice t)) : - slice t → idx → inst.output → result (slice t) = - admit () // TODO - // [core::array::[T; N]::index]: forward function let core_array_Array_index (t idx : Type0) (n : usize) (inst : core_ops_index_Index (slice t) idx) @@ -705,13 +703,8 @@ let core_array_Array_index // [core::array::[T; N]::index_mut]: forward function let core_array_Array_index_mut (t idx : Type0) (n : usize) (inst : core_ops_index_IndexMut (slice t) idx) - (a : array t n) (i : idx) : result inst.indexInst.output = - admit () // TODO - -// [core::array::[T; N]::index_mut]: backward function 0 -let core_array_Array_index_mut_back - (t idx : Type0) (n : usize) (inst : core_ops_index_IndexMut (slice t) idx) - (a : array t n) (i : idx) (x : inst.indexInst.output) : result (array t n) = + (a : array t n) (i : idx) : + result (inst.indexInst.output & (inst.indexInst.output -> result (array t n))) = admit () // TODO // Trait implementation: [core::slice::index::private_slice_index::Range] @@ -725,12 +718,10 @@ let core_slice_index_SliceIndexRangeUsizeSliceTInst (t : Type0) : output = slice t; get = core_slice_index_RangeUsize_get t; get_mut = core_slice_index_RangeUsize_get_mut t; - get_mut_back = core_slice_index_RangeUsize_get_mut_back t; get_unchecked = core_slice_index_RangeUsize_get_unchecked t; get_unchecked_mut = core_slice_index_RangeUsize_get_unchecked_mut t; index = core_slice_index_RangeUsize_index t; index_mut = core_slice_index_RangeUsize_index_mut t; - index_mut_back = core_slice_index_RangeUsize_index_mut_back t; } // Trait implementation: [core::slice::index::[T]] @@ -747,7 +738,6 @@ let core_ops_index_IndexMutSliceTIInst (t idx : Type0) core_ops_index_IndexMut (slice t) idx = { indexInst = core_ops_index_IndexSliceTIInst t idx inst; index_mut = core_slice_index_Slice_index_mut t idx inst; - index_mut_back = core_slice_index_Slice_index_mut_back t idx inst; } // Trait implementation: [core::array::[T; N]] @@ -764,7 +754,6 @@ let core_ops_index_IndexMutArrayIInst (t idx : Type0) (n : usize) core_ops_index_IndexMut (array t n) idx = { indexInst = core_ops_index_IndexArrayInst t idx n inst.indexInst; index_mut = core_array_Array_index_mut t idx n inst; - index_mut_back = core_array_Array_index_mut_back t idx n inst; } // [core::slice::index::usize::get]: forward function @@ -773,13 +762,8 @@ let core_slice_index_usize_get admit () // TODO // [core::slice::index::usize::get_mut]: forward function -let core_slice_index_usize_get_mut - (t : Type0) : usize → slice t → result (option t) = - admit () // TODO - -// [core::slice::index::usize::get_mut]: backward function 0 -let core_slice_index_usize_get_mut_back - (t : Type0) : usize → slice t → option t → result (slice t) = +let core_slice_index_usize_get_mut (t : Type0) : + usize → slice t → result (option t & (option t -> result (slice t))) = admit () // TODO // [core::slice::index::usize::get_unchecked]: forward function @@ -797,12 +781,8 @@ let core_slice_index_usize_index (t : Type0) : usize → slice t → result t = admit () // TODO // [core::slice::index::usize::index_mut]: forward function -let core_slice_index_usize_index_mut (t : Type0) : usize → slice t → result t = - admit () // TODO - -// [core::slice::index::usize::index_mut]: backward function 0 -let core_slice_index_usize_index_mut_back - (t : Type0) : usize → slice t → t → result (slice t) = +let core_slice_index_usize_index_mut (t : Type0) : + usize → slice t → result (t & (t -> result (slice t))) = admit () // TODO // Trait implementation: [core::slice::index::private_slice_index::usize] @@ -816,12 +796,10 @@ let core_slice_index_SliceIndexUsizeSliceTInst (t : Type0) : output = t; get = core_slice_index_usize_get t; get_mut = core_slice_index_usize_get_mut t; - get_mut_back = core_slice_index_usize_get_mut_back t; get_unchecked = core_slice_index_usize_get_unchecked t; get_unchecked_mut = core_slice_index_usize_get_unchecked_mut t; index = core_slice_index_usize_index t; index_mut = core_slice_index_usize_index_mut t; - index_mut_back = core_slice_index_usize_index_mut_back t; } // [alloc::vec::Vec::index]: forward function @@ -831,13 +809,8 @@ let alloc_vec_Vec_index (t idx : Type0) (inst : core_slice_index_SliceIndex idx // [alloc::vec::Vec::index_mut]: forward function let alloc_vec_Vec_index_mut (t idx : Type0) (inst : core_slice_index_SliceIndex idx (slice t)) - (self : alloc_vec_Vec t) (i : idx) : result inst.output = - admit () // TODO - -// [alloc::vec::Vec::index_mut]: backward function 0 -let alloc_vec_Vec_index_mut_back - (t idx : Type0) (inst : core_slice_index_SliceIndex idx (slice t)) - (self : alloc_vec_Vec t) (i : idx) (x : inst.output) : result (alloc_vec_Vec t) = + (self : alloc_vec_Vec t) (i : idx) : + result (inst.output & (inst.output -> result (alloc_vec_Vec t))) = admit () // TODO // Trait implementation: [alloc::vec::Vec] @@ -854,7 +827,6 @@ let alloc_vec_Vec_coreopsindexIndexMutInst (t idx : Type0) core_ops_index_IndexMut (alloc_vec_Vec t) idx = { indexInst = alloc_vec_Vec_coreopsindexIndexInst t idx inst; index_mut = alloc_vec_Vec_index_mut t idx inst; - index_mut_back = alloc_vec_Vec_index_mut_back t idx inst; } (*** Theorems *) @@ -870,15 +842,7 @@ let alloc_vec_Vec_index_eq (#a : Type0) (v : alloc_vec_Vec a) (i : usize) : let alloc_vec_Vec_index_mut_eq (#a : Type0) (v : alloc_vec_Vec a) (i : usize) : Lemma ( alloc_vec_Vec_index_mut a usize (core_slice_index_SliceIndexUsizeSliceTInst a) v i == - alloc_vec_Vec_index_usize v i) + alloc_vec_Vec_index_mut_usize v i) [SMTPat (alloc_vec_Vec_index_mut a usize (core_slice_index_SliceIndexUsizeSliceTInst a) v i)] = admit() - -let alloc_vec_Vec_index_mut_back_eq (#a : Type0) (v : alloc_vec_Vec a) (i : usize) (x : a) : - Lemma ( - alloc_vec_Vec_index_mut_back a usize (core_slice_index_SliceIndexUsizeSliceTInst a) v i x == - alloc_vec_Vec_update_usize v i x) - [SMTPat (alloc_vec_Vec_index_mut_back a usize (core_slice_index_SliceIndexUsizeSliceTInst a) v i x)] - = - admit() diff --git a/tests/fstar/traits/Traits.fst b/tests/fstar/traits/Traits.fst index 7d504cb5..cb9c1654 100644 --- a/tests/fstar/traits/Traits.fst +++ b/tests/fstar/traits/Traits.fst @@ -9,7 +9,7 @@ open Primitives Source: 'src/traits.rs', lines 1:0-1:19 *) noeq type boolTrait_t (self : Type0) = { get_bool : self -> result bool; } -(** [traits::{bool}::get_bool]: forward function +(** [traits::{bool}::get_bool]: Source: 'src/traits.rs', lines 12:4-12:30 *) let bool_get_bool (self : bool) : result bool = Return self @@ -18,24 +18,24 @@ let bool_get_bool (self : bool) : result bool = Source: 'src/traits.rs', lines 11:0-11:23 *) let traits_BoolTraitBoolInst : boolTrait_t bool = { get_bool = bool_get_bool; } -(** [traits::BoolTrait::ret_true]: forward function +(** [traits::BoolTrait::ret_true]: Source: 'src/traits.rs', lines 6:4-6:30 *) let boolTrait_ret_true - (#self : Type0) (self_clause : boolTrait_t self) (self0 : self) : + (#self : Type0) (self_clause : boolTrait_t self) (self1 : 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 *) let test_bool_trait_bool (x : bool) : result bool = let* b = bool_get_bool x in 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 *) let option_get_bool (t : Type0) (self : option t) : result bool = - begin match self with | None -> Return false | Some x -> Return true end + begin match self with | None -> Return false | Some _ -> Return true end (** Trait implementation: [traits::{core::option::Option<T>#1}] Source: 'src/traits.rs', lines 22:0-22:31 *) @@ -44,7 +44,7 @@ let traits_BoolTraitcoreoptionOptionTInst (t : Type0) : boolTrait_t (option 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 *) let test_bool_trait_option (t : Type0) (x : option t) : result bool = let* b = option_get_bool t x in @@ -52,7 +52,7 @@ let test_bool_trait_option (t : Type0) (x : option t) : result bool = then boolTrait_ret_true (traits_BoolTraitcoreoptionOptionTInst t) x else Return false -(** [traits::test_bool_trait]: forward function +(** [traits::test_bool_trait]: Source: 'src/traits.rs', lines 35:0-35:50 *) let test_bool_trait (t : Type0) (boolTraitTInst : boolTrait_t t) (x : t) : result bool = @@ -62,7 +62,7 @@ let test_bool_trait Source: 'src/traits.rs', lines 39:0-39:15 *) noeq type toU64_t (self : Type0) = { to_u64 : self -> result u64; } -(** [traits::{u64#2}::to_u64]: forward function +(** [traits::{u64#2}::to_u64]: Source: 'src/traits.rs', lines 44:4-44:26 *) let u64_to_u64 (self : u64) : result u64 = Return self @@ -71,14 +71,14 @@ let u64_to_u64 (self : u64) : result u64 = Source: 'src/traits.rs', lines 43:0-43:18 *) let traits_ToU64U64Inst : toU64_t u64 = { 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 *) let pair_to_u64 (a : Type0) (toU64AInst : toU64_t a) (self : (a & a)) : result u64 = - let (x, x0) = self in + let (x, x1) = self in let* i = toU64AInst.to_u64 x in - let* i0 = toU64AInst.to_u64 x0 in - u64_add i i0 + let* i1 = toU64AInst.to_u64 x1 in + u64_add i i1 (** Trait implementation: [traits::{(A, A)#3}] Source: 'src/traits.rs', lines 49:0-49:31 *) @@ -87,18 +87,18 @@ let traits_ToU64TupleAAInst (a : Type0) (toU64AInst : toU64_t a) : toU64_t (a & to_u64 = pair_to_u64 a toU64AInst; } -(** [traits::f]: forward function +(** [traits::f]: Source: 'src/traits.rs', lines 55:0-55:36 *) let f (t : Type0) (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 *) let g (t : Type0) (toU64TupleTTInst : toU64_t (t & t)) (x : (t & t)) : result u64 = toU64TupleTTInst.to_u64 x -(** [traits::h0]: forward function +(** [traits::h0]: Source: 'src/traits.rs', lines 66:0-66:24 *) let h0 (x : u64) : result u64 = u64_to_u64 x @@ -107,7 +107,7 @@ let h0 (x : u64) : result u64 = Source: 'src/traits.rs', lines 70:0-70:21 *) type wrapper_t (t : Type0) = { x : t; } -(** [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 *) let wrapper_to_u64 (t : Type0) (toU64TInst : toU64_t t) (self : wrapper_t t) : result u64 = @@ -120,12 +120,12 @@ let traits_ToU64traitsWrapperTInst (t : Type0) (toU64TInst : toU64_t t) : to_u64 = wrapper_to_u64 t toU64TInst; } -(** [traits::h1]: forward function +(** [traits::h1]: Source: 'src/traits.rs', lines 80:0-80:33 *) let 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 *) let h2 (t : Type0) (toU64TInst : toU64_t t) (x : wrapper_t t) : result u64 = wrapper_to_u64 t toU64TInst x @@ -134,7 +134,7 @@ let h2 (t : Type0) (toU64TInst : toU64_t t) (x : wrapper_t t) : result u64 = Source: 'src/traits.rs', lines 88:0-88:19 *) noeq type toType_t (self t : Type0) = { to_type : self -> result t; } -(** [traits::{u64#5}::to_type]: forward function +(** [traits::{u64#5}::to_type]: Source: 'src/traits.rs', lines 93:4-93:28 *) let u64_to_type (self : u64) : result bool = Return (self > 0) @@ -150,7 +150,7 @@ noeq type ofType_t (self : Type0) = { self; } -(** [traits::h3]: forward function +(** [traits::h3]: Source: 'src/traits.rs', lines 104:0-104:50 *) let h3 (t1 t2 : Type0) (ofTypeT1Inst : ofType_t t1) (toTypeT2T1Inst : toType_t t2 @@ -166,7 +166,7 @@ noeq type ofTypeBis_t (self t : Type0) = { of_type : t -> result self; } -(** [traits::h4]: forward function +(** [traits::h4]: Source: 'src/traits.rs', lines 118:0-118:57 *) let h4 (t1 t2 : Type0) (ofTypeBisT1T2Inst : ofTypeBis_t t1 t2) (toTypeT2T1Inst : @@ -189,7 +189,7 @@ noeq type testType_test_TestTrait_t (self : Type0) = { test : self -> result bool; } -(** [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 *) let testType_test_TestType1_test (self : testType_test_TestType1_t) : result bool = @@ -202,20 +202,20 @@ let traits_TestType_test_TestTraittraitstraitsTestTypeTtestTestType1Inst : 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 *) let testType_test (t : Type0) (toU64TInst : toU64_t t) (self : testType_t t) (x : t) : result bool = - let* x0 = toU64TInst.to_u64 x in - if x0 > 0 then testType_test_TestType1_test 0 else Return false + let* x1 = toU64TInst.to_u64 x in + if x1 > 0 then testType_test_TestType1_test 0 else Return false (** [traits::BoolWrapper] Source: 'src/traits.rs', lines 150:0-150:22 *) type boolWrapper_t = bool -(** [traits::{traits::BoolWrapper#7}::to_type]: forward function +(** [traits::{traits::BoolWrapper#7}::to_type]: Source: 'src/traits.rs', lines 156:4-156:25 *) let boolWrapper_to_type (t : Type0) (toTypeBoolTInst : toType_t bool t) (self : boolWrapper_t) : @@ -251,8 +251,7 @@ noeq type withConstTy_t (self : Type0) (len : usize) = { let bool_len1_body : result usize = Return 12 let bool_len1_c : usize = eval_global bool_len1_body -(** [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 *) let bool_f (i : u64) (a : array u8 32) : result u64 = Return i @@ -268,15 +267,15 @@ let traits_WithConstTyBool32Inst : withConstTy_t bool 32 = { f = bool_f; } -(** [traits::use_with_const_ty1]: forward function +(** [traits::use_with_const_ty1]: Source: 'src/traits.rs', lines 183:0-183:75 *) let use_with_const_ty1 (h : Type0) (len : usize) (withConstTyHLENInst : withConstTy_t h len) : result usize = - let i = withConstTyHLENInst.cLEN1 in Return i + Return withConstTyHLENInst.cLEN1 -(** [traits::use_with_const_ty2]: forward function +(** [traits::use_with_const_ty2]: Source: 'src/traits.rs', lines 187:0-187:73 *) let use_with_const_ty2 (h : Type0) (len : usize) (withConstTyHLENInst : withConstTy_t h len) @@ -285,7 +284,7 @@ let use_with_const_ty2 = Return () -(** [traits::use_with_const_ty3]: forward function +(** [traits::use_with_const_ty3]: Source: 'src/traits.rs', lines 189:0-189:80 *) let use_with_const_ty3 (h : Type0) (len : usize) (withConstTyHLENInst : withConstTy_t h len) @@ -294,12 +293,12 @@ let use_with_const_ty3 = withConstTyHLENInst.tW_clause_0.to_u64 x -(** [traits::test_where1]: forward function +(** [traits::test_where1]: Source: 'src/traits.rs', lines 193:0-193:40 *) let test_where1 (t : Type0) (_x : t) : result unit = Return () -(** [traits::test_where2]: forward function +(** [traits::test_where2]: Source: 'src/traits.rs', lines 194:0-194:57 *) let test_where2 (t : Type0) (withConstTyT32Inst : withConstTy_t t 32) (_x : u32) : @@ -326,22 +325,30 @@ noeq type childTrait_t (self : Type0) = { parentTrait1SelfInst : parentTrait1_t self; } -(** [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 *) +let test_parent_trait0 + (t : Type0) (parentTrait0TInst : parentTrait0_t t) (x : t) : + result parentTrait0TInst.tW + = + parentTrait0TInst.get_w x + +(** [traits::test_child_trait1]: + Source: 'src/traits.rs', lines 213:0-213:56 *) let test_child_trait1 (t : Type0) (childTraitTInst : childTrait_t t) (x : t) : result string = childTraitTInst.parentTrait0SelfInst.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 *) let test_child_trait2 (t : Type0) (childTraitTInst : childTrait_t t) (x : t) : result childTraitTInst.parentTrait0SelfInst.tW = childTraitTInst.parentTrait0SelfInst.get_w 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 *) let order1 (t u : Type0) (parentTrait0TInst : parentTrait0_t t) (parentTrait0UInst : parentTrait0_t u) : @@ -350,27 +357,27 @@ let order1 Return () (** Trait declaration: [traits::ChildTrait1] - Source: 'src/traits.rs', lines 222:0-222:35 *) + Source: 'src/traits.rs', lines 226:0-226:35 *) noeq type childTrait1_t (self : Type0) = { parentTrait1SelfInst : parentTrait1_t self; } (** Trait implementation: [traits::{usize#9}] - Source: 'src/traits.rs', lines 224:0-224:27 *) + Source: 'src/traits.rs', lines 228:0-228:27 *) let traits_ParentTrait1UsizeInst : parentTrait1_t usize = () (** Trait implementation: [traits::{usize#10}] - Source: 'src/traits.rs', lines 225:0-225:26 *) + Source: 'src/traits.rs', lines 229:0-229:26 *) let traits_ChildTrait1UsizeInst : childTrait1_t usize = { 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 *) noeq type iterator_t (self : Type0) = { tItem : Type0; } (** Trait declaration: [traits::IntoIterator] - Source: 'src/traits.rs', lines 233:0-233:22 *) + Source: 'src/traits.rs', lines 237:0-237:22 *) noeq type intoIterator_t (self : Type0) = { tItem : Type0; tIntoIter : Type0; @@ -379,29 +386,29 @@ noeq type intoIterator_t (self : Type0) = { } (** Trait declaration: [traits::FromResidual] - Source: 'src/traits.rs', lines 250:0-250:21 *) + Source: 'src/traits.rs', lines 254:0-254:21 *) type fromResidual_t (self t : Type0) = unit (** Trait declaration: [traits::Try] - Source: 'src/traits.rs', lines 246:0-246:48 *) + Source: 'src/traits.rs', lines 250:0-250:48 *) noeq type try_t (self : Type0) = { tResidual : Type0; fromResidualSelftraitsTrySelfResidualInst : fromResidual_t self tResidual; } (** Trait declaration: [traits::WithTarget] - Source: 'src/traits.rs', lines 252:0-252:20 *) + Source: 'src/traits.rs', lines 256:0-256:20 *) noeq type withTarget_t (self : Type0) = { tTarget : Type0; } (** Trait declaration: [traits::ParentTrait2] - Source: 'src/traits.rs', lines 256:0-256:22 *) + Source: 'src/traits.rs', lines 260:0-260:22 *) noeq type parentTrait2_t (self : Type0) = { tU : Type0; tU_clause_0 : withTarget_t tU; } (** Trait declaration: [traits::ChildTrait2] - Source: 'src/traits.rs', lines 260:0-260:35 *) + Source: 'src/traits.rs', lines 264:0-264:35 *) noeq type childTrait2_t (self : Type0) = { parentTrait2SelfInst : parentTrait2_t self; convert : parentTrait2SelfInst.tU -> result @@ -409,48 +416,59 @@ noeq type childTrait2_t (self : Type0) = { } (** Trait implementation: [traits::{u32#11}] - Source: 'src/traits.rs', lines 264:0-264:23 *) + Source: 'src/traits.rs', lines 268:0-268:23 *) let traits_WithTargetU32Inst : withTarget_t u32 = { tTarget = u32; } (** Trait implementation: [traits::{u32#12}] - Source: 'src/traits.rs', lines 268:0-268:25 *) + Source: 'src/traits.rs', lines 272:0-272:25 *) let traits_ParentTrait2U32Inst : parentTrait2_t u32 = { tU = u32; tU_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 *) let 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 *) let traits_ChildTrait2U32Inst : childTrait2_t u32 = { parentTrait2SelfInst = traits_ParentTrait2U32Inst; convert = u32_convert; } (** Trait declaration: [traits::CFnOnce] - Source: 'src/traits.rs', lines 286:0-286:23 *) + Source: 'src/traits.rs', lines 290:0-290:23 *) noeq type cFnOnce_t (self args : Type0) = { tOutput : Type0; call_once : self -> args -> result tOutput; } (** Trait declaration: [traits::CFnMut] - Source: 'src/traits.rs', lines 292:0-292:37 *) + Source: 'src/traits.rs', lines 296:0-296:37 *) noeq type cFnMut_t (self args : Type0) = { cFnOnceSelfArgsInst : cFnOnce_t self args; - call_mut : self -> args -> result cFnOnceSelfArgsInst.tOutput; - call_mut_back : self -> args -> cFnOnceSelfArgsInst.tOutput -> result self; + call_mut : self -> args -> result (cFnOnceSelfArgsInst.tOutput & self); } (** Trait declaration: [traits::CFn] - Source: 'src/traits.rs', lines 296:0-296:33 *) + Source: 'src/traits.rs', lines 300:0-300:33 *) noeq type cFn_t (self args : Type0) = { cFnMutSelfArgsInst : cFnMut_t self args; - call_mut : self -> args -> result - cFnMutSelfArgsInst.cFnOnceSelfArgsInst.tOutput; + call : self -> args -> result cFnMutSelfArgsInst.cFnOnceSelfArgsInst.tOutput; +} + +(** Trait declaration: [traits::GetTrait] + Source: 'src/traits.rs', lines 304:0-304:18 *) +noeq type getTrait_t (self : Type0) = { tW : Type0; get_w : self -> result tW; } +(** [traits::test_get_trait]: + Source: 'src/traits.rs', lines 309:0-309:49 *) +let test_get_trait + (t : Type0) (getTraitTInst : getTrait_t t) (x : t) : + result getTraitTInst.tW + = + getTraitTInst.get_w x + diff --git a/tests/lean/Array.lean b/tests/lean/Array.lean index 25dad3cf..7785a208 100644 --- a/tests/lean/Array.lean +++ b/tests/lean/Array.lean @@ -11,99 +11,91 @@ inductive AB := | A : AB | B : AB -/- [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 -/ def incr (x : U32) : Result U32 := x + 1#u32 -/- [array::array_to_shared_slice_]: forward function +/- [array::array_to_shared_slice_]: Source: 'src/array.rs', lines 16:0-16:53 -/ def 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 -/ -def 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 -/ -def array_to_mut_slice__back - (T : Type) (s : Array T 32#usize) (ret : Slice T) : - Result (Array T 32#usize) +def array_to_mut_slice_ + (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 + do + let (s1, to_slice_mut_back) ← Array.to_slice_mut T 32#usize s + Result.ret (s1, to_slice_mut_back) -/- [array::array_len]: forward function +/- [array::array_len]: Source: 'src/array.rs', lines 25:0-25:40 -/ def array_len (T : Type) (s : Array T 32#usize) : Result Usize := do - let s0 ← Array.to_slice T 32#usize s - let i := Slice.len T s0 - Result.ret i + let s1 ← Array.to_slice T 32#usize s + let i := Slice.len T s1 + Result.ret i -/- [array::shared_array_len]: forward function +/- [array::shared_array_len]: Source: 'src/array.rs', lines 29:0-29:48 -/ def shared_array_len (T : Type) (s : Array T 32#usize) : Result Usize := do - let s0 ← Array.to_slice T 32#usize s - let i := Slice.len T s0 - Result.ret i + let s1 ← Array.to_slice T 32#usize s + let i := Slice.len T s1 + Result.ret i -/- [array::shared_slice_len]: forward function +/- [array::shared_slice_len]: Source: 'src/array.rs', lines 33:0-33:44 -/ def shared_slice_len (T : Type) (s : Slice T) : Result Usize := let i := Slice.len T s Result.ret i -/- [array::index_array_shared]: forward function +/- [array::index_array_shared]: Source: 'src/array.rs', lines 37:0-37:57 -/ def 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 -/ def 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 -/ def 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 -/ -def 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 -/ -def index_mut_array_back - (T : Type) (s : Array T 32#usize) (i : Usize) (ret : T) : - Result (Array T 32#usize) +def index_mut_array + (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 + do + let (t, index_mut_back) ← Array.index_mut_usize T 32#usize s i + Result.ret (t, index_mut_back) -/- [array::index_slice]: forward function +/- [array::index_slice]: Source: 'src/array.rs', lines 56:0-56:46 -/ def 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 -/ -def 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 -/ -def index_mut_slice_back - (T : Type) (s : Slice T) (i : Usize) (ret : T) : Result (Slice T) := - Slice.update_usize T s i ret +def index_mut_slice + (T : Type) (s : Slice T) (i : Usize) : + Result (T × (T → Result (Slice T))) + := + do + let (t, index_mut_back) ← Slice.index_mut_usize T s i + Result.ret (t, index_mut_back) -/- [array::slice_subslice_shared_]: forward function +/- [array::slice_subslice_shared_]: Source: 'src/array.rs', lines 64:0-64:70 -/ def slice_subslice_shared_ (x : Slice U32) (y : Usize) (z : Usize) : Result (Slice U32) := @@ -111,41 +103,35 @@ def slice_subslice_shared_ (core.slice.index.SliceIndexRangeUsizeSliceTInst U32) x { start := y, end_ := z } -/- [array::slice_subslice_mut_]: forward function +/- [array::slice_subslice_mut_]: Source: 'src/array.rs', lines 68:0-68:75 -/ def slice_subslice_mut_ - (x : Slice U32) (y : Usize) (z : Usize) : Result (Slice U32) := - core.slice.index.Slice.index_mut U32 (core.ops.range.Range Usize) - (core.slice.index.SliceIndexRangeUsizeSliceTInst U32) x - { start := y, end_ := z } - -/- [array::slice_subslice_mut_]: backward function 0 - Source: 'src/array.rs', lines 68:0-68:75 -/ -def 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 - { start := y, end_ := z } ret + do + let (s, index_mut_back) ← + core.slice.index.Slice.index_mut U32 (core.ops.range.Range Usize) + (core.slice.index.SliceIndexRangeUsizeSliceTInst U32) x + { start := y, end_ := z } + Result.ret (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 -/ def 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 -/ -def 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 -/ -def 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 +def array_to_slice_mut_ + (x : Array U32 32#usize) : + Result ((Slice U32) × (Slice U32 → Result (Array U32 32#usize))) + := + do + let (s, to_slice_mut_back) ← Array.to_slice_mut U32 32#usize x + Result.ret (s, to_slice_mut_back) -/- [array::array_subslice_shared_]: forward function +/- [array::array_subslice_shared_]: Source: 'src/array.rs', lines 80:0-80:74 -/ def array_subslice_shared_ (x : Array U32 32#usize) (y : Usize) (z : Usize) : Result (Slice U32) := @@ -154,311 +140,294 @@ def array_subslice_shared_ (core.slice.index.SliceIndexRangeUsizeSliceTInst U32)) x { start := y, end_ := z } -/- [array::array_subslice_mut_]: forward function +/- [array::array_subslice_mut_]: Source: 'src/array.rs', lines 84:0-84:79 -/ def 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 - { start := y, end_ := z } - -/- [array::array_subslice_mut_]: backward function 0 - Source: 'src/array.rs', lines 84:0-84:79 -/ -def 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 - { start := y, end_ := z } ret - -/- [array::index_slice_0]: forward function + do + let (s, index_mut_back) ← + 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 + { start := y, end_ := z } + Result.ret (s, index_mut_back) + +/- [array::index_slice_0]: Source: 'src/array.rs', lines 88:0-88:38 -/ def 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 -/ def 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 -/ def index_index_array (s : Array (Array U32 32#usize) 32#usize) (i : Usize) (j : Usize) : Result U32 := do - let a ← Array.index_usize (Array U32 32#usize) 32#usize s i - Array.index_usize U32 32#usize a j + let a ← Array.index_usize (Array U32 32#usize) 32#usize s i + Array.index_usize U32 32#usize a j -/- [array::update_update_array]: forward function +/- [array::update_update_array]: Source: 'src/array.rs', lines 114:0-114:70 -/ def update_update_array (s : Array (Array U32 32#usize) 32#usize) (i : Usize) (j : Usize) : Result Unit := do - let a ← Array.index_usize (Array U32 32#usize) 32#usize s i - let a0 ← Array.update_usize U32 32#usize a j 0#u32 - let _ ← Array.update_usize (Array U32 32#usize) 32#usize s i a0 - Result.ret () + let (a, index_mut_back) ← + Array.index_mut_usize (Array U32 32#usize) 32#usize s i + let (_, index_mut_back1) ← Array.index_mut_usize U32 32#usize a j + let a1 ← index_mut_back1 0#u32 + let _ ← index_mut_back a1 + Result.ret () -/- [array::array_local_deep_copy]: forward function +/- [array::array_local_deep_copy]: Source: 'src/array.rs', lines 118:0-118:43 -/ def array_local_deep_copy (x : Array U32 32#usize) : Result Unit := Result.ret () -/- [array::take_array]: forward function +/- [array::take_array]: Source: 'src/array.rs', lines 122:0-122:30 -/ def take_array (a : Array U32 2#usize) : Result Unit := Result.ret () -/- [array::take_array_borrow]: forward function +/- [array::take_array_borrow]: Source: 'src/array.rs', lines 123:0-123:38 -/ def take_array_borrow (a : Array U32 2#usize) : Result Unit := Result.ret () -/- [array::take_slice]: forward function +/- [array::take_slice]: Source: 'src/array.rs', lines 124:0-124:28 -/ def take_slice (s : Slice U32) : Result Unit := Result.ret () -/- [array::take_mut_slice]: merged forward/backward function - (there is a single backward function, and the forward function returns ()) +/- [array::take_mut_slice]: Source: 'src/array.rs', lines 125:0-125:36 -/ def take_mut_slice (s : Slice U32) : Result (Slice U32) := Result.ret s -/- [array::const_array]: forward function +/- [array::const_array]: Source: 'src/array.rs', lines 127:0-127:32 -/ def const_array : Result (Array U32 2#usize) := Result.ret (Array.make U32 2#usize [ 0#u32, 0#u32 ]) -/- [array::const_slice]: forward function +/- [array::const_slice]: Source: 'src/array.rs', lines 131:0-131:20 -/ def const_slice : Result Unit := do - let _ ← - Array.to_slice U32 2#usize (Array.make U32 2#usize [ 0#u32, 0#u32 ]) - Result.ret () + let _ ← + Array.to_slice U32 2#usize (Array.make U32 2#usize [ 0#u32, 0#u32 ]) + Result.ret () -/- [array::take_all]: forward function +/- [array::take_all]: Source: 'src/array.rs', lines 141:0-141:17 -/ def take_all : Result Unit := do - let _ ← take_array (Array.make U32 2#usize [ 0#u32, 0#u32 ]) - let _ ← take_array_borrow (Array.make U32 2#usize [ 0#u32, 0#u32 ]) - let s ← - Array.to_slice U32 2#usize (Array.make U32 2#usize [ 0#u32, 0#u32 ]) - let _ ← take_slice s - let s0 ← - Array.to_slice U32 2#usize (Array.make U32 2#usize [ 0#u32, 0#u32 ]) - let s1 ← take_mut_slice s0 - let _ ← - Array.from_slice U32 2#usize (Array.make U32 2#usize [ 0#u32, 0#u32 ]) s1 - Result.ret () - -/- [array::index_array]: forward function + let _ ← take_array (Array.make U32 2#usize [ 0#u32, 0#u32 ]) + let _ ← take_array (Array.make U32 2#usize [ 0#u32, 0#u32 ]) + let _ ← take_array_borrow (Array.make U32 2#usize [ 0#u32, 0#u32 ]) + let s ← + Array.to_slice U32 2#usize (Array.make U32 2#usize [ 0#u32, 0#u32 ]) + let _ ← take_slice s + let (s1, to_slice_mut_back) ← + Array.to_slice_mut U32 2#usize (Array.make U32 2#usize [ 0#u32, 0#u32 ]) + let s2 ← take_mut_slice s1 + let _ ← to_slice_mut_back s2 + Result.ret () + +/- [array::index_array]: Source: 'src/array.rs', lines 155:0-155:38 -/ def 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 -/ def 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 -/ def 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 -/ -def index_mut_slice_u32_0 (x : Slice U32) : Result U32 := - Slice.index_usize U32 x 0#usize - -/- [array::index_mut_slice_u32_0]: backward function 0 - Source: 'src/array.rs', lines 166:0-166:50 -/ -def index_mut_slice_u32_0_back (x : Slice U32) : Result (Slice U32) := +def index_mut_slice_u32_0 (x : Slice U32) : Result (U32 × (Slice U32)) := do - let _ ← Slice.index_usize U32 x 0#usize - Result.ret x + let i ← Slice.index_usize U32 x 0#usize + Result.ret (i, x) -/- [array::index_all]: forward function +/- [array::index_all]: Source: 'src/array.rs', lines 170:0-170:25 -/ def index_all : Result U32 := do - let i ← index_array (Array.make U32 2#usize [ 0#u32, 0#u32 ]) - let i0 ← index_array (Array.make U32 2#usize [ 0#u32, 0#u32 ]) - let i1 ← i + i0 - let i2 ← index_array_borrow (Array.make U32 2#usize [ 0#u32, 0#u32 ]) - let i3 ← i1 + i2 - let s ← - Array.to_slice U32 2#usize (Array.make U32 2#usize [ 0#u32, 0#u32 ]) - let i4 ← index_slice_u32_0 s - let i5 ← i3 + i4 - let s0 ← - Array.to_slice U32 2#usize (Array.make U32 2#usize [ 0#u32, 0#u32 ]) - let i6 ← index_mut_slice_u32_0 s0 - let i7 ← i5 + i6 - let s1 ← index_mut_slice_u32_0_back s0 - let _ ← - Array.from_slice U32 2#usize (Array.make U32 2#usize [ 0#u32, 0#u32 ]) s1 - Result.ret i7 - -/- [array::update_array]: forward function + let i ← index_array (Array.make U32 2#usize [ 0#u32, 0#u32 ]) + let i1 ← index_array (Array.make U32 2#usize [ 0#u32, 0#u32 ]) + let i2 ← i + i1 + let i3 ← index_array_borrow (Array.make U32 2#usize [ 0#u32, 0#u32 ]) + let i4 ← i2 + i3 + let s ← + Array.to_slice U32 2#usize (Array.make U32 2#usize [ 0#u32, 0#u32 ]) + let i5 ← index_slice_u32_0 s + let i6 ← i4 + i5 + let (s1, to_slice_mut_back) ← + Array.to_slice_mut U32 2#usize (Array.make U32 2#usize [ 0#u32, 0#u32 ]) + let (i7, s2) ← index_mut_slice_u32_0 s1 + let i8 ← i6 + i7 + let _ ← to_slice_mut_back s2 + Result.ret i8 + +/- [array::update_array]: Source: 'src/array.rs', lines 184:0-184:36 -/ def update_array (x : Array U32 2#usize) : Result Unit := do - let _ ← Array.update_usize U32 2#usize x 0#usize 1#u32 - Result.ret () + let (_, index_mut_back) ← Array.index_mut_usize U32 2#usize x 0#usize + let _ ← index_mut_back 1#u32 + Result.ret () -/- [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 -/ def 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 + do + let (_, index_mut_back) ← Array.index_mut_usize U32 2#usize x 0#usize + 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 -/ def update_mut_slice (x : Slice U32) : Result (Slice U32) := - Slice.update_usize U32 x 0#usize 1#u32 + do + let (_, index_mut_back) ← Slice.index_mut_usize U32 x 0#usize + index_mut_back 1#u32 -/- [array::update_all]: forward function +/- [array::update_all]: Source: 'src/array.rs', lines 194:0-194:19 -/ def update_all : Result Unit := do - let _ ← update_array (Array.make U32 2#usize [ 0#u32, 0#u32 ]) - let x ← update_array_mut_borrow (Array.make U32 2#usize [ 0#u32, 0#u32 ]) - let s ← Array.to_slice U32 2#usize x - let s0 ← update_mut_slice s - let _ ← Array.from_slice U32 2#usize x s0 - Result.ret () - -/- [array::range_all]: forward function + let _ ← update_array (Array.make U32 2#usize [ 0#u32, 0#u32 ]) + let _ ← update_array (Array.make U32 2#usize [ 0#u32, 0#u32 ]) + let a ← update_array_mut_borrow (Array.make U32 2#usize [ 0#u32, 0#u32 ]) + let (s, to_slice_mut_back) ← Array.to_slice_mut U32 2#usize a + let s1 ← update_mut_slice s + let _ ← to_slice_mut_back s1 + Result.ret () + +/- [array::range_all]: Source: 'src/array.rs', lines 205:0-205:18 -/ def range_all : Result Unit := do - let s ← - core.array.Array.index_mut U32 (core.ops.range.Range Usize) 4#usize - (core.ops.index.IndexMutSliceTIInst U32 (core.ops.range.Range Usize) - (core.slice.index.SliceIndexRangeUsizeSliceTInst U32)) - (Array.make U32 4#usize [ 0#u32, 0#u32, 0#u32, 0#u32 ]) - { start := 1#usize, end_ := 3#usize } - let s0 ← update_mut_slice s - let _ ← - 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)) - (Array.make U32 4#usize [ 0#u32, 0#u32, 0#u32, 0#u32 ]) - { start := 1#usize, end_ := 3#usize } s0 - Result.ret () - -/- [array::deref_array_borrow]: forward function + let (s, index_mut_back) ← + 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)) + (Array.make U32 4#usize [ 0#u32, 0#u32, 0#u32, 0#u32 ]) + { start := 1#usize, end_ := 3#usize } + let s1 ← update_mut_slice s + let _ ← index_mut_back s1 + Result.ret () + +/- [array::deref_array_borrow]: Source: 'src/array.rs', lines 214:0-214:46 -/ def 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 -/ -def 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 -/ -def deref_array_mut_borrow_back - (x : Array U32 2#usize) : Result (Array U32 2#usize) := +def deref_array_mut_borrow + (x : Array U32 2#usize) : Result (U32 × (Array U32 2#usize)) := do - let _ ← Array.index_usize U32 2#usize x 0#usize - Result.ret x + let i ← Array.index_usize U32 2#usize x 0#usize + Result.ret (i, x) -/- [array::take_array_t]: forward function +/- [array::take_array_t]: Source: 'src/array.rs', lines 227:0-227:31 -/ def take_array_t (a : Array AB 2#usize) : Result Unit := Result.ret () -/- [array::non_copyable_array]: forward function +/- [array::non_copyable_array]: Source: 'src/array.rs', lines 229:0-229:27 -/ def non_copyable_array : Result Unit := do - let _ ← take_array_t (Array.make AB 2#usize [ AB.A, AB.B ]) - Result.ret () + let _ ← take_array_t (Array.make AB 2#usize [ AB.A, AB.B ]) + Result.ret () -/- [array::sum]: loop 0: forward function +/- [array::sum]: loop 0: Source: 'src/array.rs', lines 242:0-250:1 -/ -divergent def sum_loop (s : Slice U32) (sum0 : U32) (i : Usize) : Result U32 := - let i0 := Slice.len U32 s - if i < i0 +divergent def sum_loop (s : Slice U32) (sum1 : U32) (i : Usize) : Result U32 := + let i1 := Slice.len U32 s + if i < i1 then do - let i1 ← Slice.index_usize U32 s i - let sum1 ← sum0 + i1 - let i2 ← i + 1#usize - sum_loop s sum1 i2 - else Result.ret sum0 + let i2 ← Slice.index_usize U32 s i + let sum3 ← sum1 + i2 + let i3 ← i + 1#usize + sum_loop s sum3 i3 + else Result.ret sum1 -/- [array::sum]: forward function +/- [array::sum]: Source: 'src/array.rs', lines 242:0-242:28 -/ def sum (s : Slice U32) : Result U32 := sum_loop s 0#u32 0#usize -/- [array::sum2]: loop 0: forward function +/- [array::sum2]: loop 0: Source: 'src/array.rs', lines 252:0-261:1 -/ divergent def sum2_loop - (s : Slice U32) (s2 : Slice U32) (sum0 : U32) (i : Usize) : Result U32 := - let i0 := Slice.len U32 s - if i < i0 + (s : Slice U32) (s2 : Slice U32) (sum1 : U32) (i : Usize) : Result U32 := + let i1 := Slice.len U32 s + if i < i1 then do - let i1 ← Slice.index_usize U32 s i - let i2 ← Slice.index_usize U32 s2 i - let i3 ← i1 + i2 - let sum1 ← sum0 + i3 - let i4 ← i + 1#usize - sum2_loop s s2 sum1 i4 - else Result.ret sum0 - -/- [array::sum2]: forward function + let i2 ← Slice.index_usize U32 s i + let i3 ← Slice.index_usize U32 s2 i + let i4 ← i2 + i3 + let sum3 ← sum1 + i4 + let i5 ← i + 1#usize + sum2_loop s s2 sum3 i5 + else Result.ret sum1 + +/- [array::sum2]: Source: 'src/array.rs', lines 252:0-252:41 -/ def sum2 (s : Slice U32) (s2 : Slice U32) : Result U32 := let i := Slice.len U32 s - let i0 := Slice.len U32 s2 - if not (i = i0) + let i1 := Slice.len U32 s2 + if not (i = i1) then Result.fail .panic else sum2_loop s s2 0#u32 0#usize -/- [array::f0]: forward function +/- [array::f0]: Source: 'src/array.rs', lines 263:0-263:11 -/ def f0 : Result Unit := do - let s ← - Array.to_slice U32 2#usize (Array.make U32 2#usize [ 1#u32, 2#u32 ]) - let s0 ← Slice.update_usize U32 s 0#usize 1#u32 - let _ ← - Array.from_slice U32 2#usize (Array.make U32 2#usize [ 1#u32, 2#u32 ]) s0 - Result.ret () - -/- [array::f1]: forward function + let (s, to_slice_mut_back) ← + Array.to_slice_mut U32 2#usize (Array.make U32 2#usize [ 1#u32, 2#u32 ]) + let (_, index_mut_back) ← Slice.index_mut_usize U32 s 0#usize + let s1 ← index_mut_back 1#u32 + let _ ← to_slice_mut_back s1 + Result.ret () + +/- [array::f1]: Source: 'src/array.rs', lines 268:0-268:11 -/ def f1 : Result Unit := do - let _ ← - Array.update_usize U32 2#usize (Array.make U32 2#usize [ 1#u32, 2#u32 ]) - 0#usize 1#u32 - Result.ret () + let (_, index_mut_back) ← + Array.index_mut_usize U32 2#usize (Array.make U32 2#usize [ 1#u32, 2#u32 ]) + 0#usize + let _ ← index_mut_back 1#u32 + Result.ret () -/- [array::f2]: forward function +/- [array::f2]: Source: 'src/array.rs', lines 273:0-273:17 -/ def f2 (i : U32) : Result Unit := Result.ret () -/- [array::f4]: forward function +/- [array::f4]: Source: 'src/array.rs', lines 282:0-282:54 -/ def f4 (x : Array U32 32#usize) (y : Usize) (z : Usize) : Result (Slice U32) := core.array.Array.index U32 (core.ops.range.Range Usize) 32#usize @@ -466,44 +435,42 @@ def f4 (x : Array U32 32#usize) (y : Usize) (z : Usize) : Result (Slice U32) := (core.slice.index.SliceIndexRangeUsizeSliceTInst U32)) x { start := y, end_ := z } -/- [array::f3]: forward function +/- [array::f3]: Source: 'src/array.rs', lines 275:0-275:18 -/ def f3 : Result U32 := do - let i ← - Array.index_usize U32 2#usize (Array.make U32 2#usize [ 1#u32, 2#u32 ]) - 0#usize - let _ ← f2 i - let b := Array.repeat U32 32#usize 0#u32 - let s ← - Array.to_slice U32 2#usize (Array.make U32 2#usize [ 1#u32, 2#u32 ]) - let s0 ← f4 b 16#usize 18#usize - sum2 s s0 + let i ← + Array.index_usize U32 2#usize (Array.make U32 2#usize [ 1#u32, 2#u32 ]) + 0#usize + let _ ← f2 i + let b := Array.repeat U32 32#usize 0#u32 + let s ← + Array.to_slice U32 2#usize (Array.make U32 2#usize [ 1#u32, 2#u32 ]) + let s1 ← f4 b 16#usize 18#usize + sum2 s s1 /- [array::SZ] Source: 'src/array.rs', lines 286:0-286:19 -/ def sz_body : Result Usize := Result.ret 32#usize def sz_c : Usize := eval_global sz_body (by simp) -/- [array::f5]: forward function +/- [array::f5]: Source: 'src/array.rs', lines 289:0-289:31 -/ def 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 -/ def ite : Result Unit := do - let s ← - Array.to_slice U32 2#usize (Array.make U32 2#usize [ 0#u32, 0#u32 ]) - let s0 ← - Array.to_slice U32 2#usize (Array.make U32 2#usize [ 0#u32, 0#u32 ]) - let s1 ← index_mut_slice_u32_0_back s0 - let _ ← - Array.from_slice U32 2#usize (Array.make U32 2#usize [ 0#u32, 0#u32 ]) s1 - let s2 ← index_mut_slice_u32_0_back s - let _ ← - Array.from_slice U32 2#usize (Array.make U32 2#usize [ 0#u32, 0#u32 ]) s2 - Result.ret () + let (s, to_slice_mut_back) ← + Array.to_slice_mut U32 2#usize (Array.make U32 2#usize [ 0#u32, 0#u32 ]) + let (_, s1) ← index_mut_slice_u32_0 s + let (s2, to_slice_mut_back1) ← + Array.to_slice_mut U32 2#usize (Array.make U32 2#usize [ 0#u32, 0#u32 ]) + let (_, s3) ← index_mut_slice_u32_0 s2 + let _ ← to_slice_mut_back1 s3 + let _ ← to_slice_mut_back s1 + Result.ret () end array diff --git a/tests/lean/BetreeMain/Funs.lean b/tests/lean/BetreeMain/Funs.lean index 0d7cb984..96daa197 100644 --- a/tests/lean/BetreeMain/Funs.lean +++ b/tests/lean/BetreeMain/Funs.lean @@ -7,7 +7,7 @@ open Primitives namespace betree_main -/- [betree_main::betree::load_internal_node]: forward function +/- [betree_main::betree::load_internal_node]: Source: 'src/betree.rs', lines 36:0-36:52 -/ def betree.load_internal_node (id : U64) (st : State) : @@ -15,65 +15,53 @@ def 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 -/ def betree.store_internal_node (id : U64) (content : betree.List (U64 × betree.Message)) (st : State) : Result (State × Unit) := do - let (st0, _) ← betree_utils.store_internal_node id content st - Result.ret (st0, ()) + let (st1, _) ← betree_utils.store_internal_node id content st + Result.ret (st1, ()) -/- [betree_main::betree::load_leaf_node]: forward function +/- [betree_main::betree::load_leaf_node]: Source: 'src/betree.rs', lines 46:0-46:44 -/ def betree.load_leaf_node (id : U64) (st : State) : Result (State × (betree.List (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 -/ def betree.store_leaf_node (id : U64) (content : betree.List (U64 × U64)) (st : State) : Result (State × Unit) := do - let (st0, _) ← betree_utils.store_leaf_node id content st - Result.ret (st0, ()) + let (st1, _) ← betree_utils.store_leaf_node id content st + Result.ret (st1, ()) -/- [betree_main::betree::fresh_node_id]: forward function +/- [betree_main::betree::fresh_node_id]: Source: 'src/betree.rs', lines 55:0-55:48 -/ -def betree.fresh_node_id (counter : U64) : Result U64 := +def betree.fresh_node_id (counter : U64) : Result (U64 × U64) := do - let _ ← counter + 1#u64 - Result.ret counter + let counter1 ← counter + 1#u64 + Result.ret (counter, counter1) -/- [betree_main::betree::fresh_node_id]: backward function 0 - Source: 'src/betree.rs', lines 55:0-55:48 -/ -def betree.fresh_node_id_back (counter : U64) : Result U64 := - 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 -/ def betree.NodeIdCounter.new : Result betree.NodeIdCounter := Result.ret { 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 -/ -def betree.NodeIdCounter.fresh_id (self : betree.NodeIdCounter) : Result U64 := +def betree.NodeIdCounter.fresh_id + (self : betree.NodeIdCounter) : Result (U64 × betree.NodeIdCounter) := do - let _ ← self.next_node_id + 1#u64 - Result.ret self.next_node_id + let i ← self.next_node_id + 1#u64 + Result.ret (self.next_node_id, { next_node_id := i }) -/- [betree_main::betree::{betree_main::betree::NodeIdCounter}::fresh_id]: backward function 0 - Source: 'src/betree.rs', lines 210:4-210:36 -/ -def betree.NodeIdCounter.fresh_id_back - (self : betree.NodeIdCounter) : Result betree.NodeIdCounter := - do - let i ← self.next_node_id + 1#u64 - Result.ret { 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 -/ def betree.upsert_update (prev : Option U64) (st : betree.UpsertFunState) : Result U64 := @@ -81,30 +69,30 @@ def betree.upsert_update | none => match st with | betree.UpsertFunState.Add v => Result.ret v - | betree.UpsertFunState.Sub i => Result.ret 0#u64 - | some prev0 => + | betree.UpsertFunState.Sub _ => Result.ret 0#u64 + | some prev1 => match st with | betree.UpsertFunState.Add v => do - let margin ← core_u64_max - prev0 - if margin >= v - then prev0 + v - else Result.ret core_u64_max + let margin ← core_u64_max - prev1 + if margin >= v + then prev1 + v + else Result.ret core_u64_max | betree.UpsertFunState.Sub v => - if prev0 >= v - then prev0 - v + if prev1 >= v + then prev1 - v else Result.ret 0#u64 -/- [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 -/ divergent def betree.List.len (T : Type) (self : betree.List T) : Result U64 := match self with - | betree.List.Cons t tl => do - let i ← betree.List.len T tl - 1#u64 + i + | betree.List.Cons _ tl => do + let i ← betree.List.len T tl + 1#u64 + i | betree.List.Nil => Result.ret 0#u64 -/- [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 -/ divergent def betree.List.split_at (T : Type) (self : betree.List T) (n : U64) : @@ -116,56 +104,45 @@ divergent def betree.List.split_at match self with | betree.List.Cons hd tl => do - let i ← n - 1#u64 - let p ← betree.List.split_at T tl i - let (ls0, ls1) := p - let l := ls0 - Result.ret (betree.List.Cons hd l, ls1) + let i ← n - 1#u64 + let p ← betree.List.split_at T tl i + let (ls0, ls1) := p + Result.ret (betree.List.Cons hd ls0, ls1) | betree.List.Nil => Result.fail .panic -/- [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 -/ def betree.List.push_front (T : Type) (self : betree.List T) (x : T) : Result (betree.List T) := - let tl := core.mem.replace (betree.List T) self betree.List.Nil - let l := tl - Result.ret (betree.List.Cons x l) - -/- [betree_main::betree::{betree_main::betree::List<T>#1}::pop_front]: forward function - Source: 'src/betree.rs', lines 306:4-306:32 -/ -def betree.List.pop_front (T : Type) (self : betree.List T) : Result T := - let ls := core.mem.replace (betree.List T) self betree.List.Nil - match ls with - | betree.List.Cons x tl => Result.ret x - | betree.List.Nil => Result.fail .panic + let (tl, _) := core.mem.replace (betree.List T) self betree.List.Nil + Result.ret (betree.List.Cons x tl) -/- [betree_main::betree::{betree_main::betree::List<T>#1}::pop_front]: backward function 0 +/- [betree_main::betree::{betree_main::betree::List<T>#1}::pop_front]: Source: 'src/betree.rs', lines 306:4-306:32 -/ -def betree.List.pop_front_back - (T : Type) (self : betree.List T) : Result (betree.List T) := - let ls := core.mem.replace (betree.List T) self betree.List.Nil +def betree.List.pop_front + (T : Type) (self : betree.List T) : Result (T × (betree.List T)) := + let (ls, _) := core.mem.replace (betree.List T) self betree.List.Nil match ls with - | betree.List.Cons x tl => Result.ret tl + | betree.List.Cons x tl => Result.ret (x, tl) | betree.List.Nil => Result.fail .panic -/- [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 -/ def betree.List.hd (T : Type) (self : betree.List T) : Result T := match self with - | betree.List.Cons hd l => Result.ret hd + | betree.List.Cons hd _ => Result.ret hd | betree.List.Nil => Result.fail .panic -/- [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 -/ def betree.ListTupleU64T.head_has_key (T : Type) (self : betree.List (U64 × T)) (key : U64) : Result Bool := match self with - | betree.List.Cons hd l => let (i, _) := hd + | betree.List.Cons hd _ => let (i, _) := hd Result.ret (i = key) | betree.List.Nil => Result.ret false -/- [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 -/ divergent def betree.ListTupleU64T.partition_at_pivot (T : Type) (self : betree.List (U64 × T)) (pivot : U64) : @@ -178,334 +155,186 @@ divergent def betree.ListTupleU64T.partition_at_pivot then Result.ret (betree.List.Nil, betree.List.Cons (i, t) tl) else do - let p ← betree.ListTupleU64T.partition_at_pivot T tl pivot - let (ls0, ls1) := p - let l := ls0 - Result.ret (betree.List.Cons (i, t) l, ls1) + let p ← betree.ListTupleU64T.partition_at_pivot T tl pivot + let (ls0, ls1) := p + Result.ret (betree.List.Cons (i, t) ls0, ls1) | betree.List.Nil => Result.ret (betree.List.Nil, betree.List.Nil) -/- [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 -/ def betree.Leaf.split (self : betree.Leaf) (content : betree.List (U64 × U64)) (params : betree.Params) (node_id_cnt : betree.NodeIdCounter) (st : State) : - Result (State × betree.Internal) + Result (State × (betree.Internal × betree.NodeIdCounter)) := do - let p ← betree.List.split_at (U64 × U64) content params.split_size - let (content0, content1) := p - let p0 ← betree.List.hd (U64 × U64) content1 - let (pivot, _) := p0 - let id0 ← betree.NodeIdCounter.fresh_id node_id_cnt - let node_id_cnt0 ← betree.NodeIdCounter.fresh_id_back node_id_cnt - let id1 ← betree.NodeIdCounter.fresh_id node_id_cnt0 - let (st0, _) ← betree.store_leaf_node id0 content0 st - let (st1, _) ← betree.store_leaf_node id1 content1 st0 - let n := betree.Node.Leaf { id := id0, size := params.split_size } - let n0 := betree.Node.Leaf { id := id1, size := params.split_size } - Result.ret (st1, betree.Internal.mk self.id pivot n n0) - -/- [betree_main::betree::{betree_main::betree::Leaf#3}::split]: backward function 2 - Source: 'src/betree.rs', lines 359:4-364:17 -/ -def betree.Leaf.split_back - (self : betree.Leaf) (content : betree.List (U64 × U64)) - (params : betree.Params) (node_id_cnt : betree.NodeIdCounter) (st : State) : - Result betree.NodeIdCounter - := - do - let p ← betree.List.split_at (U64 × U64) content params.split_size - let (content0, content1) := p - let _ ← betree.List.hd (U64 × U64) content1 - let id0 ← betree.NodeIdCounter.fresh_id node_id_cnt - let node_id_cnt0 ← betree.NodeIdCounter.fresh_id_back node_id_cnt - let id1 ← betree.NodeIdCounter.fresh_id node_id_cnt0 - let (st0, _) ← betree.store_leaf_node id0 content0 st - let _ ← 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 + let p ← betree.List.split_at (U64 × U64) content params.split_size + let (content0, content1) := p + let p1 ← betree.List.hd (U64 × U64) content1 + let (pivot, _) := p1 + let (id0, nic) ← betree.NodeIdCounter.fresh_id node_id_cnt + let (id1, nic1) ← betree.NodeIdCounter.fresh_id nic + let (st1, _) ← betree.store_leaf_node id0 content0 st + let (st2, _) ← betree.store_leaf_node id1 content1 st1 + let n := betree.Node.Leaf { id := id0, size := params.split_size } + let n1 := betree.Node.Leaf { id := id1, size := params.split_size } + Result.ret (st2, (betree.Internal.mk self.id pivot n n1, nic1)) + +/- [betree_main::betree::{betree_main::betree::Node#5}::lookup_first_message_for_key]: Source: 'src/betree.rs', lines 789:4-792:34 -/ divergent def betree.Node.lookup_first_message_for_key (key : U64) (msgs : betree.List (U64 × betree.Message)) : - Result (betree.List (U64 × betree.Message)) + Result ((betree.List (U64 × betree.Message)) × (betree.List (U64 × + betree.Message) → Result (betree.List (U64 × betree.Message)))) := match msgs with | betree.List.Cons x next_msgs => let (i, m) := x if i >= key - then Result.ret (betree.List.Cons (i, m) next_msgs) - else betree.Node.lookup_first_message_for_key key next_msgs - | betree.List.Nil => Result.ret betree.List.Nil - -/- [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 -/ -divergent def betree.Node.lookup_first_message_for_key_back - (key : U64) (msgs : betree.List (U64 × betree.Message)) - (ret : betree.List (U64 × betree.Message)) : - Result (betree.List (U64 × betree.Message)) - := - match msgs with - | betree.List.Cons x next_msgs => - let (i, m) := x - if i >= key - then Result.ret ret + then Result.ret (betree.List.Cons (i, m) next_msgs, Result.ret) else do - let next_msgs0 ← - betree.Node.lookup_first_message_for_key_back key next_msgs ret - Result.ret (betree.List.Cons (i, m) next_msgs0) - | betree.List.Nil => Result.ret ret + let (l, lookup_first_message_for_key_back) ← + betree.Node.lookup_first_message_for_key key next_msgs + let back_'a := + fun ret => + do + let next_msgs1 ← lookup_first_message_for_key_back ret + Result.ret (betree.List.Cons (i, m) next_msgs1) + Result.ret (l, back_'a) + | betree.List.Nil => Result.ret (betree.List.Nil, Result.ret) -/- [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 -/ divergent def betree.Node.lookup_in_bindings (key : U64) (bindings : betree.List (U64 × U64)) : Result (Option U64) := match bindings with | betree.List.Cons hd tl => - let (i, i0) := hd + let (i, i1) := hd if i = key - then Result.ret (some i0) + then Result.ret (some i1) else if i > key then Result.ret none else betree.Node.lookup_in_bindings key tl | betree.List.Nil => Result.ret none -/- [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 -/ divergent def betree.Node.apply_upserts (msgs : betree.List (U64 × betree.Message)) (prev : Option U64) (key : U64) (st : State) : - Result (State × U64) + Result (State × (U64 × (betree.List (U64 × betree.Message)))) := do - let b ← betree.ListTupleU64T.head_has_key betree.Message msgs key - if b - then - do - let msg ← betree.List.pop_front (U64 × betree.Message) msgs - let (_, m) := msg - match m with - | betree.Message.Insert i => Result.fail .panic - | betree.Message.Delete => Result.fail .panic - | betree.Message.Upsert s => - do - let v ← betree.upsert_update prev s - let msgs0 ← - betree.List.pop_front_back (U64 × betree.Message) msgs - betree.Node.apply_upserts msgs0 (some v) key st - else - do - let (st0, v) ← core.option.Option.unwrap U64 prev st - let _ ← - betree.List.push_front (U64 × betree.Message) msgs (key, - betree.Message.Insert v) - Result.ret (st0, v) - -/- [betree_main::betree::{betree_main::betree::Node#5}::apply_upserts]: backward function 0 - Source: 'src/betree.rs', lines 819:4-819:90 -/ -divergent def betree.Node.apply_upserts_back - (msgs : betree.List (U64 × betree.Message)) (prev : Option U64) (key : U64) - (st : State) : - Result (betree.List (U64 × betree.Message)) - := - do - let b ← betree.ListTupleU64T.head_has_key betree.Message msgs key - if b - then - do - let msg ← betree.List.pop_front (U64 × betree.Message) msgs - let (_, m) := msg - match m with - | betree.Message.Insert i => Result.fail .panic - | betree.Message.Delete => Result.fail .panic - | betree.Message.Upsert s => - do - let v ← betree.upsert_update prev s - let msgs0 ← - betree.List.pop_front_back (U64 × betree.Message) msgs - betree.Node.apply_upserts_back msgs0 (some v) key st - else + let b ← betree.ListTupleU64T.head_has_key betree.Message msgs key + if b + then + do + let (msg, l) ← betree.List.pop_front (U64 × betree.Message) msgs + let (_, m) := msg + match m with + | betree.Message.Insert _ => Result.fail .panic + | betree.Message.Delete => Result.fail .panic + | betree.Message.Upsert s => do - let (_, v) ← core.option.Option.unwrap U64 prev st - betree.List.push_front (U64 × betree.Message) msgs (key, - betree.Message.Insert v) + let v ← betree.upsert_update prev s + betree.Node.apply_upserts l (some v) key st + else + do + let (st1, v) ← core.option.Option.unwrap U64 prev st + let l ← + betree.List.push_front (U64 × betree.Message) msgs (key, + betree.Message.Insert v) + Result.ret (st1, (v, l)) -/- [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 -/ mutual divergent def betree.Internal.lookup_in_children (self : betree.Internal) (key : U64) (st : State) : - Result (State × (Option U64)) + Result (State × ((Option U64) × betree.Internal)) := - let ⟨ _, i, n, n0 ⟩ := self - if key < i - then betree.Node.lookup n key st - else betree.Node.lookup n0 key st - -/- [betree_main::betree::{betree_main::betree::Internal#4}::lookup_in_children]: backward function 0 - Source: 'src/betree.rs', lines 395:4-395:63 -/ -divergent def betree.Internal.lookup_in_children_back - (self : betree.Internal) (key : U64) (st : State) : Result betree.Internal := - let ⟨ i, i0, n, n0 ⟩ := self - if key < i0 + let ⟨ i, i1, n, n1 ⟩ := self + if key < i1 then do - let n1 ← betree.Node.lookup_back n key st - Result.ret (betree.Internal.mk i i0 n1 n0) + let (st1, (o, n2)) ← betree.Node.lookup n key st + Result.ret (st1, (o, betree.Internal.mk i i1 n2 n1)) else do - let n1 ← betree.Node.lookup_back n0 key st - Result.ret (betree.Internal.mk i i0 n n1) + let (st1, (o, n2)) ← betree.Node.lookup n1 key st + Result.ret (st1, (o, betree.Internal.mk i i1 n n2)) -/- [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 -/ divergent def betree.Node.lookup (self : betree.Node) (key : U64) (st : State) : - Result (State × (Option U64)) + Result (State × ((Option U64) × betree.Node)) := match self with | betree.Node.Internal node => do - let ⟨ i, i0, n, n0 ⟩ := node - let (st0, msgs) ← betree.load_internal_node i st - let pending ← betree.Node.lookup_first_message_for_key key msgs - match pending with - | betree.List.Cons p l => - let (k, msg) := p - if k != key - then - do - let (st1, o) ← - betree.Internal.lookup_in_children (betree.Internal.mk i i0 n n0) - key st0 - let _ ← - betree.Node.lookup_first_message_for_key_back key msgs - (betree.List.Cons (k, msg) l) - Result.ret (st1, o) - else - match msg with - | betree.Message.Insert v => - do - let _ ← - betree.Node.lookup_first_message_for_key_back key msgs - (betree.List.Cons (k, betree.Message.Insert v) l) - Result.ret (st0, some v) - | betree.Message.Delete => - do - let _ ← - betree.Node.lookup_first_message_for_key_back key msgs - (betree.List.Cons (k, betree.Message.Delete) l) - Result.ret (st0, none) - | betree.Message.Upsert ufs => - do - let (st1, v) ← - betree.Internal.lookup_in_children (betree.Internal.mk i i0 n - n0) key st0 - let (st2, v0) ← - betree.Node.apply_upserts (betree.List.Cons (k, - betree.Message.Upsert ufs) l) v key st1 - let node0 ← - betree.Internal.lookup_in_children_back (betree.Internal.mk i - i0 n n0) key st0 - let ⟨ i1, _, _, _ ⟩ := node0 - let pending0 ← - betree.Node.apply_upserts_back (betree.List.Cons (k, - betree.Message.Upsert ufs) l) v key st1 - let msgs0 ← - betree.Node.lookup_first_message_for_key_back key msgs pending0 - let (st3, _) ← betree.store_internal_node i1 msgs0 st2 - Result.ret (st3, some v0) - | betree.List.Nil => + let ⟨ i, i1, n, n1 ⟩ := node + let (st1, msgs) ← betree.load_internal_node i st + let (pending, lookup_first_message_for_key_back) ← + betree.Node.lookup_first_message_for_key key msgs + match pending with + | betree.List.Cons p l => + let (k, msg) := p + if k != key + then do - let (st1, o) ← - betree.Internal.lookup_in_children (betree.Internal.mk i i0 n n0) - key st0 + let (st2, (o, i2)) ← + betree.Internal.lookup_in_children (betree.Internal.mk i i1 n n1) key + st1 + let _ ← + lookup_first_message_for_key_back (betree.List.Cons (k, msg) l) + Result.ret (st2, (o, betree.Node.Internal i2)) + else + match msg with + | betree.Message.Insert v => + do let _ ← - betree.Node.lookup_first_message_for_key_back key msgs - betree.List.Nil - Result.ret (st1, o) - | betree.Node.Leaf node => - do - let (st0, bindings) ← betree.load_leaf_node node.id st - let o ← betree.Node.lookup_in_bindings key bindings - Result.ret (st0, o) - -/- [betree_main::betree::{betree_main::betree::Node#5}::lookup]: backward function 0 - Source: 'src/betree.rs', lines 709:4-709:58 -/ -divergent def betree.Node.lookup_back - (self : betree.Node) (key : U64) (st : State) : Result betree.Node := - match self with - | betree.Node.Internal node => - do - let ⟨ i, i0, n, n0 ⟩ := node - let (st0, msgs) ← betree.load_internal_node i st - let pending ← betree.Node.lookup_first_message_for_key key msgs - match pending with - | betree.List.Cons p l => - let (k, msg) := p - if k != key - then + lookup_first_message_for_key_back (betree.List.Cons (k, + betree.Message.Insert v) l) + Result.ret (st1, (some v, betree.Node.Internal (betree.Internal.mk i + i1 n n1))) + | betree.Message.Delete => do - let _ ← - betree.Node.lookup_first_message_for_key_back key msgs - (betree.List.Cons (k, msg) l) - let node0 ← - betree.Internal.lookup_in_children_back (betree.Internal.mk i i0 - n n0) key st0 - Result.ret (betree.Node.Internal node0) - else - match msg with - | betree.Message.Insert v => - do - let _ ← - betree.Node.lookup_first_message_for_key_back key msgs - (betree.List.Cons (k, betree.Message.Insert v) l) - Result.ret (betree.Node.Internal (betree.Internal.mk i i0 n n0)) - | betree.Message.Delete => - do - let _ ← - betree.Node.lookup_first_message_for_key_back key msgs - (betree.List.Cons (k, betree.Message.Delete) l) - Result.ret (betree.Node.Internal (betree.Internal.mk i i0 n n0)) - | betree.Message.Upsert ufs => - do - let (st1, v) ← - betree.Internal.lookup_in_children (betree.Internal.mk i i0 n - n0) key st0 - let (st2, _) ← - betree.Node.apply_upserts (betree.List.Cons (k, - betree.Message.Upsert ufs) l) v key st1 - let node0 ← - betree.Internal.lookup_in_children_back (betree.Internal.mk i - i0 n n0) key st0 - let ⟨ i1, i2, n1, n2 ⟩ := node0 - let pending0 ← - betree.Node.apply_upserts_back (betree.List.Cons (k, - betree.Message.Upsert ufs) l) v key st1 - let msgs0 ← - betree.Node.lookup_first_message_for_key_back key msgs pending0 - let _ ← betree.store_internal_node i1 msgs0 st2 - Result.ret (betree.Node.Internal (betree.Internal.mk i1 i2 n1 - n2)) - | betree.List.Nil => - do let _ ← - betree.Node.lookup_first_message_for_key_back key msgs - betree.List.Nil - let node0 ← - betree.Internal.lookup_in_children_back (betree.Internal.mk i i0 n - n0) key st0 - Result.ret (betree.Node.Internal node0) + lookup_first_message_for_key_back (betree.List.Cons (k, + betree.Message.Delete) l) + Result.ret (st1, (none, betree.Node.Internal (betree.Internal.mk i i1 + n n1))) + | betree.Message.Upsert ufs => + do + let (st2, (v, i2)) ← + betree.Internal.lookup_in_children (betree.Internal.mk i i1 n n1) + key st1 + let (st3, (v1, l1)) ← + betree.Node.apply_upserts (betree.List.Cons (k, + betree.Message.Upsert ufs) l) v key st2 + let ⟨ i3, i4, n2, n3 ⟩ := i2 + let msgs1 ← lookup_first_message_for_key_back l1 + let (st4, _) ← betree.store_internal_node i3 msgs1 st3 + Result.ret (st4, (some v1, betree.Node.Internal (betree.Internal.mk + i3 i4 n2 n3))) + | betree.List.Nil => + do + let (st2, (o, i2)) ← + betree.Internal.lookup_in_children (betree.Internal.mk i i1 n n1) key + st1 + let _ ← lookup_first_message_for_key_back betree.List.Nil + Result.ret (st2, (o, betree.Node.Internal i2)) | betree.Node.Leaf node => do - let (_, bindings) ← betree.load_leaf_node node.id st - let _ ← betree.Node.lookup_in_bindings key bindings - Result.ret (betree.Node.Leaf node) + let (st1, bindings) ← betree.load_leaf_node node.id st + let o ← betree.Node.lookup_in_bindings key bindings + Result.ret (st1, (o, betree.Node.Leaf node)) 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 -/ divergent def betree.Node.filter_messages_for_key (key : U64) (msgs : betree.List (U64 × betree.Message)) : @@ -517,33 +346,19 @@ divergent def betree.Node.filter_messages_for_key if k = key then do - let msgs0 ← - betree.List.pop_front_back (U64 × betree.Message) (betree.List.Cons - (k, m) l) - betree.Node.filter_messages_for_key key msgs0 + let (_, l1) ← + betree.List.pop_front (U64 × betree.Message) (betree.List.Cons (k, m) + l) + betree.Node.filter_messages_for_key key l1 else Result.ret (betree.List.Cons (k, m) l) | betree.List.Nil => Result.ret betree.List.Nil -/- [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 -/ divergent def betree.Node.lookup_first_message_after_key (key : U64) (msgs : betree.List (U64 × betree.Message)) : - Result (betree.List (U64 × betree.Message)) - := - match msgs with - | betree.List.Cons p next_msgs => - let (k, m) := p - if k = key - then betree.Node.lookup_first_message_after_key key next_msgs - else Result.ret (betree.List.Cons (k, m) next_msgs) - | betree.List.Nil => Result.ret betree.List.Nil - -/- [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 -/ -divergent def betree.Node.lookup_first_message_after_key_back - (key : U64) (msgs : betree.List (U64 × betree.Message)) - (ret : betree.List (U64 × betree.Message)) : - Result (betree.List (U64 × betree.Message)) + Result ((betree.List (U64 × betree.Message)) × (betree.List (U64 × + betree.Message) → Result (betree.List (U64 × betree.Message)))) := match msgs with | betree.List.Cons p next_msgs => @@ -551,14 +366,18 @@ divergent def betree.Node.lookup_first_message_after_key_back if k = key then do - let next_msgs0 ← - betree.Node.lookup_first_message_after_key_back key next_msgs ret - Result.ret (betree.List.Cons (k, m) next_msgs0) - else Result.ret ret - | betree.List.Nil => Result.ret ret + let (l, lookup_first_message_after_key_back) ← + betree.Node.lookup_first_message_after_key key next_msgs + let back_'a := + fun ret => + do + let next_msgs1 ← lookup_first_message_after_key_back ret + Result.ret (betree.List.Cons (k, m) next_msgs1) + Result.ret (l, back_'a) + else Result.ret (betree.List.Cons (k, m) next_msgs, Result.ret) + | betree.List.Nil => Result.ret (betree.List.Nil, Result.ret) -/- [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 -/ def betree.Node.apply_to_internal (msgs : betree.List (U64 × betree.Message)) (key : U64) @@ -566,66 +385,63 @@ def betree.Node.apply_to_internal Result (betree.List (U64 × betree.Message)) := do - let msgs0 ← betree.Node.lookup_first_message_for_key key msgs - let b ← betree.ListTupleU64T.head_has_key betree.Message msgs0 key - if b - then - match new_msg with - | betree.Message.Insert i => + let (msgs1, lookup_first_message_for_key_back) ← + betree.Node.lookup_first_message_for_key key msgs + let b ← betree.ListTupleU64T.head_has_key betree.Message msgs1 key + if b + then + match new_msg with + | betree.Message.Insert i => + do + let l ← betree.Node.filter_messages_for_key key msgs1 + let l1 ← + betree.List.push_front (U64 × betree.Message) l (key, + betree.Message.Insert i) + lookup_first_message_for_key_back l1 + | betree.Message.Delete => + do + let l ← betree.Node.filter_messages_for_key key msgs1 + let l1 ← + betree.List.push_front (U64 × betree.Message) l (key, + betree.Message.Delete) + lookup_first_message_for_key_back l1 + | betree.Message.Upsert s => + do + let p ← betree.List.hd (U64 × betree.Message) msgs1 + let (_, m) := p + match m with + | betree.Message.Insert prev => do - let msgs1 ← betree.Node.filter_messages_for_key key msgs0 - let msgs2 ← - betree.List.push_front (U64 × betree.Message) msgs1 (key, - betree.Message.Insert i) - betree.Node.lookup_first_message_for_key_back key msgs msgs2 + let v ← betree.upsert_update (some prev) s + let (_, l) ← betree.List.pop_front (U64 × betree.Message) msgs1 + let l1 ← + betree.List.push_front (U64 × betree.Message) l (key, + betree.Message.Insert v) + lookup_first_message_for_key_back l1 | betree.Message.Delete => do - let msgs1 ← betree.Node.filter_messages_for_key key msgs0 - let msgs2 ← - betree.List.push_front (U64 × betree.Message) msgs1 (key, - betree.Message.Delete) - betree.Node.lookup_first_message_for_key_back key msgs msgs2 - | betree.Message.Upsert s => + let (_, l) ← betree.List.pop_front (U64 × betree.Message) msgs1 + let v ← betree.upsert_update none s + let l1 ← + betree.List.push_front (U64 × betree.Message) l (key, + betree.Message.Insert v) + lookup_first_message_for_key_back l1 + | betree.Message.Upsert _ => do - let p ← betree.List.hd (U64 × betree.Message) msgs0 - let (_, m) := p - match m with - | betree.Message.Insert prev => - do - let v ← betree.upsert_update (some prev) s - let msgs1 ← - betree.List.pop_front_back (U64 × betree.Message) msgs0 - let msgs2 ← - betree.List.push_front (U64 × betree.Message) msgs1 (key, - betree.Message.Insert v) - betree.Node.lookup_first_message_for_key_back key msgs msgs2 - | betree.Message.Delete => - do - let v ← betree.upsert_update none s - let msgs1 ← - betree.List.pop_front_back (U64 × betree.Message) msgs0 - let msgs2 ← - betree.List.push_front (U64 × betree.Message) msgs1 (key, - betree.Message.Insert v) - betree.Node.lookup_first_message_for_key_back key msgs msgs2 - | betree.Message.Upsert ufs => - do - let msgs1 ← - betree.Node.lookup_first_message_after_key key msgs0 - let msgs2 ← - betree.List.push_front (U64 × betree.Message) msgs1 (key, - betree.Message.Upsert s) - let msgs3 ← - betree.Node.lookup_first_message_after_key_back key msgs0 msgs2 - betree.Node.lookup_first_message_for_key_back key msgs msgs3 - else - do - let msgs1 ← - betree.List.push_front (U64 × betree.Message) msgs0 (key, new_msg) - betree.Node.lookup_first_message_for_key_back key msgs msgs1 + let (msgs2, lookup_first_message_after_key_back) ← + betree.Node.lookup_first_message_after_key key msgs1 + let l ← + betree.List.push_front (U64 × betree.Message) msgs2 (key, + betree.Message.Upsert s) + let msgs3 ← lookup_first_message_after_key_back l + lookup_first_message_for_key_back msgs3 + else + do + let l ← + betree.List.push_front (U64 × betree.Message) 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 -/ divergent def betree.Node.apply_messages_to_internal (msgs : betree.List (U64 × betree.Message)) @@ -635,45 +451,36 @@ divergent def betree.Node.apply_messages_to_internal match new_msgs with | betree.List.Cons new_msg new_msgs_tl => do - let (i, m) := new_msg - let msgs0 ← betree.Node.apply_to_internal msgs i m - betree.Node.apply_messages_to_internal msgs0 new_msgs_tl + let (i, m) := new_msg + let l ← betree.Node.apply_to_internal msgs i m + betree.Node.apply_messages_to_internal l new_msgs_tl | betree.List.Nil => Result.ret msgs -/- [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 -/ divergent def betree.Node.lookup_mut_in_bindings (key : U64) (bindings : betree.List (U64 × U64)) : - Result (betree.List (U64 × U64)) - := - match bindings with - | betree.List.Cons hd tl => - let (i, i0) := hd - if i >= key - then Result.ret (betree.List.Cons (i, i0) tl) - else betree.Node.lookup_mut_in_bindings key tl - | betree.List.Nil => Result.ret betree.List.Nil - -/- [betree_main::betree::{betree_main::betree::Node#5}::lookup_mut_in_bindings]: backward function 0 - Source: 'src/betree.rs', lines 653:4-656:32 -/ -divergent def betree.Node.lookup_mut_in_bindings_back - (key : U64) (bindings : betree.List (U64 × U64)) - (ret : betree.List (U64 × U64)) : - Result (betree.List (U64 × U64)) + Result ((betree.List (U64 × U64)) × (betree.List (U64 × U64) → Result + (betree.List (U64 × U64)))) := match bindings with | betree.List.Cons hd tl => - let (i, i0) := hd + let (i, i1) := hd if i >= key - then Result.ret ret + then Result.ret (betree.List.Cons (i, i1) tl, Result.ret) else do - let tl0 ← betree.Node.lookup_mut_in_bindings_back key tl ret - Result.ret (betree.List.Cons (i, i0) tl0) - | betree.List.Nil => Result.ret ret + let (l, lookup_mut_in_bindings_back) ← + betree.Node.lookup_mut_in_bindings key tl + let back_'a := + fun ret => + do + let tl1 ← lookup_mut_in_bindings_back ret + Result.ret (betree.List.Cons (i, i1) tl1) + Result.ret (l, back_'a) + | betree.List.Nil => Result.ret (betree.List.Nil, Result.ret) -/- [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 -/ def betree.Node.apply_to_leaf (bindings : betree.List (U64 × U64)) (key : U64) (new_msg : betree.Message) @@ -681,49 +488,39 @@ def betree.Node.apply_to_leaf Result (betree.List (U64 × U64)) := do - let bindings0 ← betree.Node.lookup_mut_in_bindings key bindings - let b ← betree.ListTupleU64T.head_has_key U64 bindings0 key - if b - then + let (bindings1, lookup_mut_in_bindings_back) ← + betree.Node.lookup_mut_in_bindings key bindings + let b ← betree.ListTupleU64T.head_has_key U64 bindings1 key + if b + then + do + let (hd, l) ← betree.List.pop_front (U64 × U64) bindings1 + match new_msg with + | betree.Message.Insert v => do - let hd ← betree.List.pop_front (U64 × U64) bindings0 - match new_msg with - | betree.Message.Insert v => - do - let bindings1 ← betree.List.pop_front_back (U64 × U64) bindings0 - let bindings2 ← - betree.List.push_front (U64 × U64) bindings1 (key, v) - betree.Node.lookup_mut_in_bindings_back key bindings bindings2 - | betree.Message.Delete => - do - let bindings1 ← betree.List.pop_front_back (U64 × U64) bindings0 - betree.Node.lookup_mut_in_bindings_back key bindings bindings1 - | betree.Message.Upsert s => - do - let (_, i) := hd - let v ← betree.upsert_update (some i) s - let bindings1 ← betree.List.pop_front_back (U64 × U64) bindings0 - let bindings2 ← - betree.List.push_front (U64 × U64) bindings1 (key, v) - betree.Node.lookup_mut_in_bindings_back key bindings bindings2 - else - match new_msg with - | betree.Message.Insert v => - do - let bindings1 ← - betree.List.push_front (U64 × U64) bindings0 (key, v) - betree.Node.lookup_mut_in_bindings_back key bindings bindings1 - | betree.Message.Delete => - betree.Node.lookup_mut_in_bindings_back key bindings bindings0 - | betree.Message.Upsert s => - do - let v ← betree.upsert_update none s - let bindings1 ← - betree.List.push_front (U64 × U64) bindings0 (key, v) - betree.Node.lookup_mut_in_bindings_back key bindings bindings1 + let 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 => + do + let (_, i) := hd + let v ← betree.upsert_update (some i) s + let l1 ← betree.List.push_front (U64 × U64) l (key, v) + lookup_mut_in_bindings_back l1 + else + match new_msg with + | betree.Message.Insert v => + do + let 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 => + do + let v ← betree.upsert_update none s + let l ← betree.List.push_front (U64 × U64) bindings1 (key, v) + lookup_mut_in_bindings_back l -/- [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 -/ divergent def betree.Node.apply_messages_to_leaf (bindings : betree.List (U64 × U64)) @@ -733,337 +530,182 @@ divergent def betree.Node.apply_messages_to_leaf match new_msgs with | betree.List.Cons new_msg new_msgs_tl => do - let (i, m) := new_msg - let bindings0 ← betree.Node.apply_to_leaf bindings i m - betree.Node.apply_messages_to_leaf bindings0 new_msgs_tl + let (i, m) := new_msg + let l ← betree.Node.apply_to_leaf bindings i m + betree.Node.apply_messages_to_leaf l new_msgs_tl | betree.List.Nil => Result.ret bindings -/- [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 -/ mutual divergent def betree.Internal.flush (self : betree.Internal) (params : betree.Params) (node_id_cnt : betree.NodeIdCounter) (content : betree.List (U64 × betree.Message)) (st : State) : - Result (State × (betree.List (U64 × betree.Message))) + Result (State × ((betree.List (U64 × betree.Message)) × (betree.Internal + × betree.NodeIdCounter))) := do - let ⟨ _, i, n, n0 ⟩ := self - let p ← betree.ListTupleU64T.partition_at_pivot betree.Message content i - let (msgs_left, msgs_right) := p - let len_left ← betree.List.len (U64 × betree.Message) msgs_left - if len_left >= params.min_flush_size + let ⟨ i, i1, n, n1 ⟩ := self + let p ← betree.ListTupleU64T.partition_at_pivot betree.Message content i1 + let (msgs_left, msgs_right) := p + let len_left ← betree.List.len (U64 × betree.Message) msgs_left + if len_left >= params.min_flush_size + then + do + let (st1, p1) ← + betree.Node.apply_messages n params node_id_cnt msgs_left st + let (n2, node_id_cnt1) := p1 + let len_right ← betree.List.len (U64 × betree.Message) msgs_right + if len_right >= params.min_flush_size then do - let (st0, _) ← - betree.Node.apply_messages n params node_id_cnt msgs_left st - let (_, node_id_cnt0) ← - betree.Node.apply_messages_back n params node_id_cnt msgs_left st - let len_right ← betree.List.len (U64 × betree.Message) msgs_right - if len_right >= params.min_flush_size - then - do - let (st1, _) ← - betree.Node.apply_messages n0 params node_id_cnt0 msgs_right st0 - let _ ← - betree.Node.apply_messages_back n0 params node_id_cnt0 msgs_right - st0 - Result.ret (st1, betree.List.Nil) - else Result.ret (st0, msgs_right) + let (st2, p2) ← + betree.Node.apply_messages n1 params node_id_cnt1 msgs_right st1 + let (n3, node_id_cnt2) := p2 + Result.ret (st2, (betree.List.Nil, (betree.Internal.mk i i1 n2 n3, + node_id_cnt2))) else - do - let (st0, _) ← - betree.Node.apply_messages n0 params node_id_cnt msgs_right st - let _ ← - betree.Node.apply_messages_back n0 params node_id_cnt msgs_right st - Result.ret (st0, msgs_left) - -/- [betree_main::betree::{betree_main::betree::Internal#4}::flush]: backward function 0 - Source: 'src/betree.rs', lines 410:4-415:26 -/ -divergent def betree.Internal.flush_back - (self : betree.Internal) (params : betree.Params) - (node_id_cnt : betree.NodeIdCounter) - (content : betree.List (U64 × betree.Message)) (st : State) : - Result (betree.Internal × betree.NodeIdCounter) - := - do - let ⟨ i, i0, n, n0 ⟩ := self - let p ← betree.ListTupleU64T.partition_at_pivot betree.Message content i0 - let (msgs_left, msgs_right) := p - let len_left ← betree.List.len (U64 × betree.Message) msgs_left - if len_left >= params.min_flush_size - then - do - let (st0, _) ← - betree.Node.apply_messages n params node_id_cnt msgs_left st - let (n1, node_id_cnt0) ← - betree.Node.apply_messages_back n params node_id_cnt msgs_left st - let len_right ← betree.List.len (U64 × betree.Message) msgs_right - if len_right >= params.min_flush_size - then - do - let (n2, node_id_cnt1) ← - betree.Node.apply_messages_back n0 params node_id_cnt0 msgs_right - st0 - Result.ret (betree.Internal.mk i i0 n1 n2, node_id_cnt1) - else Result.ret (betree.Internal.mk i i0 n1 n0, node_id_cnt0) - else - do - let (n1, node_id_cnt0) ← - betree.Node.apply_messages_back n0 params node_id_cnt msgs_right st - Result.ret (betree.Internal.mk i i0 n n1, node_id_cnt0) - -/- [betree_main::betree::{betree_main::betree::Node#5}::apply_messages]: forward function - Source: 'src/betree.rs', lines 588:4-593:5 -/ -divergent def betree.Node.apply_messages - (self : betree.Node) (params : betree.Params) - (node_id_cnt : betree.NodeIdCounter) - (msgs : betree.List (U64 × betree.Message)) (st : State) : - Result (State × Unit) - := - match self with - | betree.Node.Internal node => - do - let ⟨ i, i0, n, n0 ⟩ := node - let (st0, content) ← betree.load_internal_node i st - let content0 ← betree.Node.apply_messages_to_internal content msgs - let num_msgs ← betree.List.len (U64 × betree.Message) content0 - if num_msgs >= params.min_flush_size - then - do - let (st1, content1) ← - betree.Internal.flush (betree.Internal.mk i i0 n n0) params - node_id_cnt content0 st0 - let (node0, _) ← - betree.Internal.flush_back (betree.Internal.mk i i0 n n0) params - node_id_cnt content0 st0 - let ⟨ i1, _, _, _ ⟩ := node0 - let (st2, _) ← betree.store_internal_node i1 content1 st1 - Result.ret (st2, ()) - else - do - let (st1, _) ← betree.store_internal_node i content0 st0 - Result.ret (st1, ()) - | betree.Node.Leaf node => + Result.ret (st1, (msgs_right, (betree.Internal.mk i i1 n2 n1, + node_id_cnt1))) + else do - let (st0, content) ← betree.load_leaf_node node.id st - let content0 ← betree.Node.apply_messages_to_leaf content msgs - let len ← betree.List.len (U64 × U64) content0 - let i ← 2#u64 * params.split_size - if len >= i - then - do - let (st1, _) ← - betree.Leaf.split node content0 params node_id_cnt st0 - let (st2, _) ← betree.store_leaf_node node.id betree.List.Nil st1 - Result.ret (st2, ()) - else - do - let (st1, _) ← betree.store_leaf_node node.id content0 st0 - Result.ret (st1, ()) + let (st1, p1) ← + betree.Node.apply_messages n1 params node_id_cnt msgs_right st + let (n2, node_id_cnt1) := p1 + Result.ret (st1, (msgs_left, (betree.Internal.mk i i1 n n2, node_id_cnt1))) -/- [betree_main::betree::{betree_main::betree::Node#5}::apply_messages]: backward function 0 +/- [betree_main::betree::{betree_main::betree::Node#5}::apply_messages]: Source: 'src/betree.rs', lines 588:4-593:5 -/ -divergent def betree.Node.apply_messages_back +divergent def betree.Node.apply_messages (self : betree.Node) (params : betree.Params) (node_id_cnt : betree.NodeIdCounter) (msgs : betree.List (U64 × betree.Message)) (st : State) : - Result (betree.Node × betree.NodeIdCounter) + Result (State × (betree.Node × betree.NodeIdCounter)) := match self with | betree.Node.Internal node => do - let ⟨ i, i0, n, n0 ⟩ := node - let (st0, content) ← betree.load_internal_node i st - let content0 ← betree.Node.apply_messages_to_internal content msgs - let num_msgs ← betree.List.len (U64 × betree.Message) content0 - if num_msgs >= params.min_flush_size - then - do - let (st1, content1) ← - betree.Internal.flush (betree.Internal.mk i i0 n n0) params - node_id_cnt content0 st0 - let (node0, node_id_cnt0) ← - betree.Internal.flush_back (betree.Internal.mk i i0 n n0) params - node_id_cnt content0 st0 - let ⟨ i1, i2, n1, n2 ⟩ := node0 - let _ ← betree.store_internal_node i1 content1 st1 - Result.ret (betree.Node.Internal (betree.Internal.mk i1 i2 n1 n2), - node_id_cnt0) - else - do - let _ ← betree.store_internal_node i content0 st0 - Result.ret (betree.Node.Internal (betree.Internal.mk i i0 n n0), - node_id_cnt) + let ⟨ i, i1, n, n1 ⟩ := node + let (st1, content) ← betree.load_internal_node i st + let l ← betree.Node.apply_messages_to_internal content msgs + let num_msgs ← betree.List.len (U64 × betree.Message) l + if num_msgs >= params.min_flush_size + then + do + let (st2, (content1, p)) ← + betree.Internal.flush (betree.Internal.mk i i1 n n1) params node_id_cnt + l st1 + let (node1, node_id_cnt1) := p + let ⟨ i2, i3, n2, n3 ⟩ := node1 + let (st3, _) ← betree.store_internal_node i2 content1 st2 + Result.ret (st3, (betree.Node.Internal (betree.Internal.mk i2 i3 n2 n3), + node_id_cnt1)) + else + do + let (st2, _) ← betree.store_internal_node i l st1 + Result.ret (st2, (betree.Node.Internal (betree.Internal.mk i i1 n n1), + node_id_cnt)) | betree.Node.Leaf node => do - let (st0, content) ← betree.load_leaf_node node.id st - let content0 ← betree.Node.apply_messages_to_leaf content msgs - let len ← betree.List.len (U64 × U64) content0 - let i ← 2#u64 * params.split_size - if len >= i - then - do - let (st1, new_node) ← - betree.Leaf.split node content0 params node_id_cnt st0 - let _ ← betree.store_leaf_node node.id betree.List.Nil st1 - let node_id_cnt0 ← - betree.Leaf.split_back node content0 params node_id_cnt st0 - Result.ret (betree.Node.Internal new_node, node_id_cnt0) - else - do - let _ ← betree.store_leaf_node node.id content0 st0 - Result.ret (betree.Node.Leaf { node with size := len }, node_id_cnt) + let (st1, content) ← betree.load_leaf_node node.id st + let l ← betree.Node.apply_messages_to_leaf content msgs + let len ← betree.List.len (U64 × U64) l + let i ← 2#u64 * params.split_size + if len >= i + then + do + let (st2, (new_node, nic)) ← + betree.Leaf.split node l params node_id_cnt st1 + let (st3, _) ← betree.store_leaf_node node.id betree.List.Nil st2 + Result.ret (st3, (betree.Node.Internal new_node, nic)) + else + do + let (st2, _) ← betree.store_leaf_node node.id l st1 + Result.ret (st2, (betree.Node.Leaf { node with size := len }, + node_id_cnt)) 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 -/ def betree.Node.apply (self : betree.Node) (params : betree.Params) (node_id_cnt : betree.NodeIdCounter) (key : U64) (new_msg : betree.Message) (st : State) : - Result (State × Unit) + Result (State × (betree.Node × betree.NodeIdCounter)) := do - let l := betree.List.Nil - let (st0, _) ← - betree.Node.apply_messages self params node_id_cnt (betree.List.Cons - (key, new_msg) l) st - let _ ← - betree.Node.apply_messages_back self params node_id_cnt (betree.List.Cons - (key, new_msg) l) st - Result.ret (st0, ()) + let (st1, p) ← + betree.Node.apply_messages self params node_id_cnt (betree.List.Cons (key, + new_msg) betree.List.Nil) st + let (self1, node_id_cnt1) := p + Result.ret (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 -/ -def betree.Node.apply_back - (self : betree.Node) (params : betree.Params) - (node_id_cnt : betree.NodeIdCounter) (key : U64) (new_msg : betree.Message) - (st : State) : - Result (betree.Node × betree.NodeIdCounter) - := - let l := betree.List.Nil - betree.Node.apply_messages_back 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 -/ def betree.BeTree.new (min_flush_size : U64) (split_size : U64) (st : State) : Result (State × betree.BeTree) := do - let node_id_cnt ← betree.NodeIdCounter.new - let id ← betree.NodeIdCounter.fresh_id node_id_cnt - let (st0, _) ← betree.store_leaf_node id betree.List.Nil st - let node_id_cnt0 ← betree.NodeIdCounter.fresh_id_back node_id_cnt - Result.ret (st0, - { - params := - { min_flush_size := min_flush_size, split_size := split_size }, - node_id_cnt := node_id_cnt0, - root := (betree.Node.Leaf { id := id, size := 0#u64 }) - }) - -/- [betree_main::betree::{betree_main::betree::BeTree#6}::apply]: forward function + let node_id_cnt ← betree.NodeIdCounter.new + let (id, nic) ← betree.NodeIdCounter.fresh_id node_id_cnt + let (st1, _) ← betree.store_leaf_node id betree.List.Nil st + Result.ret (st1, + { + params := { min_flush_size := min_flush_size, split_size := split_size }, + node_id_cnt := nic, + root := (betree.Node.Leaf { id := id, size := 0#u64 }) + }) + +/- [betree_main::betree::{betree_main::betree::BeTree#6}::apply]: Source: 'src/betree.rs', lines 868:4-868:47 -/ def betree.BeTree.apply (self : betree.BeTree) (key : U64) (msg : betree.Message) (st : State) : - Result (State × Unit) - := - do - let (st0, _) ← - betree.Node.apply self.root self.params self.node_id_cnt key msg st - let _ ← - betree.Node.apply_back self.root self.params self.node_id_cnt key msg st - Result.ret (st0, ()) - -/- [betree_main::betree::{betree_main::betree::BeTree#6}::apply]: backward function 0 - Source: 'src/betree.rs', lines 868:4-868:47 -/ -def betree.BeTree.apply_back - (self : betree.BeTree) (key : U64) (msg : betree.Message) (st : State) : - Result betree.BeTree + Result (State × betree.BeTree) := do - let (n, nic) ← - betree.Node.apply_back self.root self.params self.node_id_cnt key msg st - Result.ret { self with node_id_cnt := nic, root := n } + let (st1, p) ← + betree.Node.apply self.root self.params self.node_id_cnt key msg st + let (n, nic) := p + Result.ret (st1, { self with node_id_cnt := nic, root := n }) -/- [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 -/ def betree.BeTree.insert (self : betree.BeTree) (key : U64) (value : U64) (st : State) : - Result (State × Unit) - := - do - let (st0, _) ← - betree.BeTree.apply self key (betree.Message.Insert value) st - let _ ← - betree.BeTree.apply_back self key (betree.Message.Insert value) st - Result.ret (st0, ()) - -/- [betree_main::betree::{betree_main::betree::BeTree#6}::insert]: backward function 0 - Source: 'src/betree.rs', lines 874:4-874:52 -/ -def betree.BeTree.insert_back - (self : betree.BeTree) (key : U64) (value : U64) (st : State) : - Result betree.BeTree + Result (State × betree.BeTree) := - betree.BeTree.apply_back self key (betree.Message.Insert value) st + betree.BeTree.apply 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 -/ def betree.BeTree.delete - (self : betree.BeTree) (key : U64) (st : State) : Result (State × Unit) := - do - let (st0, _) ← betree.BeTree.apply self key betree.Message.Delete st - let _ ← betree.BeTree.apply_back self key betree.Message.Delete st - Result.ret (st0, ()) - -/- [betree_main::betree::{betree_main::betree::BeTree#6}::delete]: backward function 0 - Source: 'src/betree.rs', lines 880:4-880:38 -/ -def betree.BeTree.delete_back - (self : betree.BeTree) (key : U64) (st : State) : Result betree.BeTree := - betree.BeTree.apply_back self key betree.Message.Delete st - -/- [betree_main::betree::{betree_main::betree::BeTree#6}::upsert]: forward function - Source: 'src/betree.rs', lines 886:4-886:59 -/ -def betree.BeTree.upsert - (self : betree.BeTree) (key : U64) (upd : betree.UpsertFunState) (st : State) - : - Result (State × Unit) + (self : betree.BeTree) (key : U64) (st : State) : + Result (State × betree.BeTree) := - do - let (st0, _) ← - betree.BeTree.apply self key (betree.Message.Upsert upd) st - let _ ← betree.BeTree.apply_back self key (betree.Message.Upsert upd) st - Result.ret (st0, ()) + betree.BeTree.apply self key betree.Message.Delete st -/- [betree_main::betree::{betree_main::betree::BeTree#6}::upsert]: backward function 0 +/- [betree_main::betree::{betree_main::betree::BeTree#6}::upsert]: Source: 'src/betree.rs', lines 886:4-886:59 -/ -def betree.BeTree.upsert_back +def betree.BeTree.upsert (self : betree.BeTree) (key : U64) (upd : betree.UpsertFunState) (st : State) : - Result betree.BeTree + Result (State × betree.BeTree) := - betree.BeTree.apply_back self key (betree.Message.Upsert upd) st + betree.BeTree.apply 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 -/ def betree.BeTree.lookup (self : betree.BeTree) (key : U64) (st : State) : - Result (State × (Option U64)) + Result (State × ((Option U64) × betree.BeTree)) := - betree.Node.lookup self.root key st - -/- [betree_main::betree::{betree_main::betree::BeTree#6}::lookup]: backward function 0 - Source: 'src/betree.rs', lines 895:4-895:62 -/ -def betree.BeTree.lookup_back - (self : betree.BeTree) (key : U64) (st : State) : Result betree.BeTree := do - let n ← betree.Node.lookup_back self.root key st - Result.ret { self with root := n } + let (st1, (o, n)) ← betree.Node.lookup self.root key st + Result.ret (st1, (o, { self with root := n })) -/- [betree_main::main]: forward function +/- [betree_main::main]: Source: 'src/betree_main.rs', lines 5:0-5:9 -/ def main : Result Unit := Result.ret () diff --git a/tests/lean/BetreeMain/FunsExternal_Template.lean b/tests/lean/BetreeMain/FunsExternal_Template.lean index 95f88873..eaa4b6c2 100644 --- a/tests/lean/BetreeMain/FunsExternal_Template.lean +++ b/tests/lean/BetreeMain/FunsExternal_Template.lean @@ -6,29 +6,29 @@ import BetreeMain.Types open Primitives open betree_main -/- [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 (U64 × betree.Message))) -/- [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 : U64 → betree.List (U64 × betree.Message) → State → Result (State × 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 (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 (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 (T : Type) : Option T → State → Result (State × T) diff --git a/tests/lean/Bitwise.lean b/tests/lean/Bitwise.lean index c8538aa2..7c47e3dd 100644 --- a/tests/lean/Bitwise.lean +++ b/tests/lean/Bitwise.lean @@ -5,31 +5,31 @@ open Primitives namespace bitwise -/- [bitwise::shift_u32]: forward function +/- [bitwise::shift_u32]: Source: 'src/bitwise.rs', lines 3:0-3:31 -/ def shift_u32 (a : U32) : Result U32 := do - let t ← a >>> 16#usize - t <<< 16#usize + let t ← a >>> 16#usize + t <<< 16#usize -/- [bitwise::shift_i32]: forward function +/- [bitwise::shift_i32]: Source: 'src/bitwise.rs', lines 10:0-10:31 -/ def shift_i32 (a : I32) : Result I32 := do - let t ← a >>> 16#isize - t <<< 16#isize + let t ← a >>> 16#isize + t <<< 16#isize -/- [bitwise::xor_u32]: forward function +/- [bitwise::xor_u32]: Source: 'src/bitwise.rs', lines 17:0-17:37 -/ def xor_u32 (a : U32) (b : U32) : Result U32 := Result.ret (a ^^^ b) -/- [bitwise::or_u32]: forward function +/- [bitwise::or_u32]: Source: 'src/bitwise.rs', lines 21:0-21:36 -/ def or_u32 (a : U32) (b : U32) : Result U32 := Result.ret (a ||| b) -/- [bitwise::and_u32]: forward function +/- [bitwise::and_u32]: Source: 'src/bitwise.rs', lines 25:0-25:37 -/ def and_u32 (a : U32) (b : U32) : Result U32 := Result.ret (a &&& b) diff --git a/tests/lean/Constants.lean b/tests/lean/Constants.lean index 80864427..2912805f 100644 --- a/tests/lean/Constants.lean +++ b/tests/lean/Constants.lean @@ -20,7 +20,7 @@ def x1_c : U32 := eval_global x1_body (by simp) def x2_body : Result U32 := Result.ret 3#u32 def x2_c : U32 := eval_global x2_body (by simp) -/- [constants::incr]: forward function +/- [constants::incr]: Source: 'src/constants.rs', lines 17:0-17:32 -/ def incr (n : U32) : Result U32 := n + 1#u32 @@ -30,7 +30,7 @@ def incr (n : U32) : Result U32 := def x3_body : Result U32 := incr 32#u32 def x3_c : U32 := eval_global x3_body (by simp) -/- [constants::mk_pair0]: forward function +/- [constants::mk_pair0]: Source: 'src/constants.rs', lines 23:0-23:51 -/ def mk_pair0 (x : U32) (y : U32) : Result (U32 × U32) := Result.ret (x, y) @@ -41,7 +41,7 @@ structure Pair (T1 T2 : Type) where x : T1 y : T2 -/- [constants::mk_pair1]: forward function +/- [constants::mk_pair1]: Source: 'src/constants.rs', lines 27:0-27:55 -/ def mk_pair1 (x : U32) (y : U32) : Result (Pair U32 U32) := Result.ret { x := x, y := y } @@ -71,7 +71,7 @@ def p3_c : Pair U32 U32 := eval_global p3_body (by simp) structure Wrap (T : Type) where value : T -/- [constants::{constants::Wrap<T>}::new]: forward function +/- [constants::{constants::Wrap<T>}::new]: Source: 'src/constants.rs', lines 54:4-54:41 -/ def Wrap.new (T : Type) (value : T) : Result (Wrap T) := Result.ret { value := value } @@ -81,7 +81,7 @@ def Wrap.new (T : Type) (value : T) : Result (Wrap T) := def y_body : Result (Wrap I32) := Wrap.new I32 2#i32 def y_c : Wrap I32 := eval_global y_body (by simp) -/- [constants::unwrap_y]: forward function +/- [constants::unwrap_y]: Source: 'src/constants.rs', lines 43:0-43:30 -/ def unwrap_y : Result I32 := Result.ret y_c.value @@ -96,12 +96,12 @@ def yval_c : I32 := eval_global yval_body (by simp) def get_z1_z1_body : Result I32 := Result.ret 3#i32 def get_z1_z1_c : I32 := eval_global get_z1_z1_body (by simp) -/- [constants::get_z1]: forward function +/- [constants::get_z1]: Source: 'src/constants.rs', lines 61:0-61:28 -/ def get_z1 : Result I32 := Result.ret get_z1_z1_c -/- [constants::add]: forward function +/- [constants::add]: Source: 'src/constants.rs', lines 66:0-66:39 -/ def add (a : I32) (b : I32) : Result I32 := a + b @@ -121,13 +121,13 @@ def q2_c : I32 := eval_global q2_body (by simp) def q3_body : Result I32 := add q2_c 3#i32 def q3_c : I32 := eval_global q3_body (by simp) -/- [constants::get_z2]: forward function +/- [constants::get_z2]: Source: 'src/constants.rs', lines 70:0-70:28 -/ def get_z2 : Result I32 := do - let i ← get_z1 - let i0 ← add i q3_c - add q1_c i0 + let i ← get_z1 + let i1 ← add i q3_c + add q1_c i1 /- [constants::S1] Source: 'src/constants.rs', lines 80:0-80:18 -/ diff --git a/tests/lean/External/Funs.lean b/tests/lean/External/Funs.lean index 48ec6ad5..db15aacc 100644 --- a/tests/lean/External/Funs.lean +++ b/tests/lean/External/Funs.lean @@ -7,92 +7,58 @@ open Primitives namespace external -/- [external::swap]: forward function +/- [external::swap]: Source: 'src/external.rs', lines 6:0-6:46 -/ -def swap (T : Type) (x : T) (y : T) (st : State) : Result (State × Unit) := - do - let (st0, _) ← core.mem.swap T x y st - let (st1, _) ← core.mem.swap_back0 T x y st st0 - let (st2, _) ← core.mem.swap_back1 T x y st st1 - Result.ret (st2, ()) - -/- [external::swap]: backward function 0 - Source: 'src/external.rs', lines 6:0-6:46 -/ -def swap_back - (T : Type) (x : T) (y : T) (st : State) (st0 : State) : - Result (State × (T × T)) - := - do - let (st1, _) ← core.mem.swap T x y st - let (st2, x0) ← core.mem.swap_back0 T x y st st1 - let (_, y0) ← core.mem.swap_back1 T x y st st2 - Result.ret (st0, (x0, y0)) +def swap + (T : Type) (x : T) (y : T) (st : State) : Result (State × (T × T)) := + core.mem.swap T x y st -/- [external::test_new_non_zero_u32]: forward function +/- [external::test_new_non_zero_u32]: Source: 'src/external.rs', lines 11:0-11:60 -/ def test_new_non_zero_u32 (x : U32) (st : State) : Result (State × core.num.nonzero.NonZeroU32) := do - let (st0, o) ← core.num.nonzero.NonZeroU32.new x st - core.option.Option.unwrap core.num.nonzero.NonZeroU32 o st0 + let (st1, o) ← core.num.nonzero.NonZeroU32.new x st + core.option.Option.unwrap core.num.nonzero.NonZeroU32 o st1 -/- [external::test_vec]: forward function +/- [external::test_vec]: Source: 'src/external.rs', lines 17:0-17:17 -/ def test_vec : Result Unit := do - let v := alloc.vec.Vec.new U32 - let _ ← alloc.vec.Vec.push U32 v 0#u32 - Result.ret () + let _ ← alloc.vec.Vec.push U32 (alloc.vec.Vec.new U32) 0#u32 + Result.ret () /- Unit test for [external::test_vec] -/ #assert (test_vec == Result.ret ()) -/- [external::custom_swap]: forward function +/- [external::custom_swap]: Source: 'src/external.rs', lines 24:0-24:66 -/ def custom_swap - (T : Type) (x : T) (y : T) (st : State) : Result (State × T) := - do - let (st0, _) ← core.mem.swap T x y st - let (st1, x0) ← core.mem.swap_back0 T x y st st0 - let (st2, _) ← core.mem.swap_back1 T x y st st1 - Result.ret (st2, x0) - -/- [external::custom_swap]: backward function 0 - Source: 'src/external.rs', lines 24:0-24:66 -/ -def 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))))) := do - let (st1, _) ← core.mem.swap T x y st - let (st2, _) ← core.mem.swap_back0 T x y st st1 - let (_, y0) ← core.mem.swap_back1 T x y st st2 - Result.ret (st0, (ret, y0)) + let (st1, (t, t1)) ← core.mem.swap T x y st + let back_'a := fun ret st2 => Result.ret (st2, (ret, t1)) + Result.ret (st1, (t, back_'a)) -/- [external::test_custom_swap]: forward function +/- [external::test_custom_swap]: Source: 'src/external.rs', lines 29:0-29:59 -/ def test_custom_swap - (x : U32) (y : U32) (st : State) : Result (State × Unit) := + (x : U32) (y : U32) (st : State) : Result (State × (U32 × U32)) := do - let (st0, _) ← custom_swap U32 x y st - Result.ret (st0, ()) - -/- [external::test_custom_swap]: backward function 0 - Source: 'src/external.rs', lines 29:0-29:59 -/ -def 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 + let (st1, (_, custom_swap_back)) ← custom_swap U32 x y st + let (_, (x1, y1)) ← custom_swap_back 1#u32 st1 + Result.ret (st1, (x1, y1)) -/- [external::test_swap_non_zero]: forward function +/- [external::test_swap_non_zero]: Source: 'src/external.rs', lines 35:0-35:44 -/ def test_swap_non_zero (x : U32) (st : State) : Result (State × U32) := do - let (st0, _) ← swap U32 x 0#u32 st - let (st1, (x0, _)) ← swap_back U32 x 0#u32 st st0 - if x0 = 0#u32 - then Result.fail .panic - else Result.ret (st1, x0) + let (st1, p) ← swap U32 x 0#u32 st + let (x1, _) := p + if x1 = 0#u32 + then Result.fail .panic + else Result.ret (st1, x1) end external diff --git a/tests/lean/External/FunsExternal.lean b/tests/lean/External/FunsExternal.lean index aae11ba1..63830abc 100644 --- a/tests/lean/External/FunsExternal.lean +++ b/tests/lean/External/FunsExternal.lean @@ -8,22 +8,11 @@ open external /- [core::mem::swap] -/ def core.mem.swap - (T : Type) : T → T → State → Result (State × Unit) := - fun _x _y s => .ret (s, ()) - -/- [core::mem::swap] -/ -def core.mem.swap_back0 - (T : Type) : T → T → State → State → Result (State × T) := - fun _x y _s0 s1 => .ret (s1, y) - -/- [core::mem::swap] -/ -def core.mem.swap_back1 - (T : Type) : T → T → State → State → Result (State × T) := - fun x _y _s0 s1 => .ret (s1, x) + (T : Type) : T → T → State → Result (State × (T × T)) := + fun x y s => .ret (s, (y, x)) /- [core::num::nonzero::NonZeroU32::{14}::new] -/ -def core.num.nonzero.NonZeroU32.new - : +def core.num.nonzero.NonZeroU32.new : U32 → State → Result (State × (Option core_num_nonzero_non_zero_u32_t)) := fun _ _ => .fail .panic diff --git a/tests/lean/External/FunsExternal_Template.lean b/tests/lean/External/FunsExternal_Template.lean index 55cd6bb5..7e237369 100644 --- a/tests/lean/External/FunsExternal_Template.lean +++ b/tests/lean/External/FunsExternal_Template.lean @@ -6,26 +6,17 @@ import External.Types open Primitives open external -/- [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 (T : Type) : T → T → State → Result (State × Unit) +axiom core.mem.swap + (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 - (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 - (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)) -/- [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 (T : Type) : Option T → State → Result (State × T) diff --git a/tests/lean/Hashmap/Funs.lean b/tests/lean/Hashmap/Funs.lean index e03981a2..3978bfc7 100644 --- a/tests/lean/Hashmap/Funs.lean +++ b/tests/lean/Hashmap/Funs.lean @@ -6,12 +6,12 @@ open Primitives namespace hashmap -/- [hashmap::hash_key]: forward function +/- [hashmap::hash_key]: Source: 'src/hashmap.rs', lines 27:0-27:32 -/ def hash_key (k : Usize) : Result Usize := Result.ret 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 -/ divergent def HashMap.allocate_slots_loop (T : Type) (slots : alloc.vec.Vec (List T)) (n : Usize) : @@ -20,12 +20,12 @@ divergent def HashMap.allocate_slots_loop if n > 0#usize then do - let slots0 ← alloc.vec.Vec.push (List T) slots List.Nil - let n0 ← n - 1#usize - HashMap.allocate_slots_loop T slots0 n0 + let v ← alloc.vec.Vec.push (List T) slots List.Nil + let n1 ← n - 1#usize + HashMap.allocate_slots_loop T v n1 else Result.ret slots -/- [hashmap::{hashmap::HashMap<T>}::allocate_slots]: forward function +/- [hashmap::{hashmap::HashMap<T>}::allocate_slots]: Source: 'src/hashmap.rs', lines 50:4-50:76 -/ def HashMap.allocate_slots (T : Type) (slots : alloc.vec.Vec (List T)) (n : Usize) : @@ -33,7 +33,7 @@ def HashMap.allocate_slots := HashMap.allocate_slots_loop T slots n -/- [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 -/ def HashMap.new_with_capacity (T : Type) (capacity : Usize) (max_load_dividend : Usize) @@ -41,252 +41,220 @@ def HashMap.new_with_capacity Result (HashMap T) := do - let v := alloc.vec.Vec.new (List T) - let slots ← HashMap.allocate_slots T v capacity - let i ← capacity * max_load_dividend - let i0 ← i / max_load_divisor - Result.ret - { - num_entries := 0#usize, - max_load_factor := (max_load_dividend, max_load_divisor), - max_load := i0, - slots := slots - } - -/- [hashmap::{hashmap::HashMap<T>}::new]: forward function + let slots ← HashMap.allocate_slots T (alloc.vec.Vec.new (List T)) capacity + let i ← capacity * max_load_dividend + let i1 ← i / max_load_divisor + Result.ret + { + num_entries := 0#usize, + max_load_factor := (max_load_dividend, max_load_divisor), + max_load := i1, + slots := slots + } + +/- [hashmap::{hashmap::HashMap<T>}::new]: Source: 'src/hashmap.rs', lines 75:4-75:24 -/ def HashMap.new (T : Type) : Result (HashMap T) := HashMap.new_with_capacity T 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 -/ divergent def HashMap.clear_loop (T : Type) (slots : alloc.vec.Vec (List T)) (i : Usize) : Result (alloc.vec.Vec (List T)) := - let i0 := alloc.vec.Vec.len (List T) slots - if i < i0 + let i1 := alloc.vec.Vec.len (List T) slots + if i < i1 then do - let i1 ← i + 1#usize - let slots0 ← - alloc.vec.Vec.index_mut_back (List T) Usize - (core.slice.index.SliceIndexUsizeSliceTInst (List T)) slots i - List.Nil - HashMap.clear_loop T slots0 i1 + let (_, index_mut_back) ← + alloc.vec.Vec.index_mut (List T) Usize + (core.slice.index.SliceIndexUsizeSliceTInst (List T)) slots i + let i2 ← i + 1#usize + let slots1 ← index_mut_back List.Nil + HashMap.clear_loop T slots1 i2 else Result.ret slots -/- [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 -/ def HashMap.clear (T : Type) (self : HashMap T) : Result (HashMap T) := do - let v ← HashMap.clear_loop T self.slots 0#usize - Result.ret { self with num_entries := 0#usize, slots := v } + let back ← HashMap.clear_loop T self.slots 0#usize + Result.ret { self with num_entries := 0#usize, slots := back } -/- [hashmap::{hashmap::HashMap<T>}::len]: forward function +/- [hashmap::{hashmap::HashMap<T>}::len]: Source: 'src/hashmap.rs', lines 90:4-90:30 -/ def HashMap.len (T : Type) (self : HashMap T) : Result Usize := Result.ret self.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 -/ divergent def HashMap.insert_in_list_loop - (T : Type) (key : Usize) (value : T) (ls : List T) : Result Bool := - match ls with - | List.Cons ckey cvalue tl => - if ckey = key - then Result.ret false - else HashMap.insert_in_list_loop T key value tl - | List.Nil => Result.ret true - -/- [hashmap::{hashmap::HashMap<T>}::insert_in_list]: forward function - Source: 'src/hashmap.rs', lines 97:4-97:71 -/ -def HashMap.insert_in_list - (T : Type) (key : Usize) (value : T) (ls : List T) : Result Bool := - HashMap.insert_in_list_loop T key value ls - -/- [hashmap::{hashmap::HashMap<T>}::insert_in_list]: loop 0: backward function 0 - Source: 'src/hashmap.rs', lines 97:4-114:5 -/ -divergent def HashMap.insert_in_list_loop_back - (T : Type) (key : Usize) (value : T) (ls : List T) : Result (List T) := + (T : Type) (key : Usize) (value : T) (ls : List T) : + Result (Bool × (List T)) + := match ls with | List.Cons ckey cvalue tl => if ckey = key - then Result.ret (List.Cons ckey value tl) + then Result.ret (false, List.Cons ckey value tl) else do - let tl0 ← HashMap.insert_in_list_loop_back T key value tl - Result.ret (List.Cons ckey cvalue tl0) - | List.Nil => let l := List.Nil - Result.ret (List.Cons key value l) + let (b, back) ← HashMap.insert_in_list_loop T key value tl + Result.ret (b, List.Cons ckey cvalue back) + | List.Nil => Result.ret (true, List.Cons key value List.Nil) -/- [hashmap::{hashmap::HashMap<T>}::insert_in_list]: backward function 0 +/- [hashmap::{hashmap::HashMap<T>}::insert_in_list]: Source: 'src/hashmap.rs', lines 97:4-97:71 -/ -def HashMap.insert_in_list_back - (T : Type) (key : Usize) (value : T) (ls : List T) : Result (List T) := - HashMap.insert_in_list_loop_back T key value ls +def HashMap.insert_in_list + (T : Type) (key : Usize) (value : T) (ls : List T) : + Result (Bool × (List T)) + := + HashMap.insert_in_list_loop T 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 -/ def HashMap.insert_no_resize (T : Type) (self : HashMap T) (key : Usize) (value : T) : Result (HashMap T) := do - let hash ← hash_key key - let i := alloc.vec.Vec.len (List T) self.slots - let hash_mod ← hash % i - let l ← - alloc.vec.Vec.index_mut (List T) Usize - (core.slice.index.SliceIndexUsizeSliceTInst (List T)) self.slots - hash_mod - let inserted ← HashMap.insert_in_list T key value l - if inserted - then - do - let i0 ← self.num_entries + 1#usize - let l0 ← HashMap.insert_in_list_back T key value l - let v ← - alloc.vec.Vec.index_mut_back (List T) Usize - (core.slice.index.SliceIndexUsizeSliceTInst (List T)) self.slots - hash_mod l0 - Result.ret { self with num_entries := i0, slots := v } - else - do - let l0 ← HashMap.insert_in_list_back T key value l - let v ← - alloc.vec.Vec.index_mut_back (List T) Usize - (core.slice.index.SliceIndexUsizeSliceTInst (List T)) self.slots - hash_mod l0 - Result.ret { self with slots := v } - -/- [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 ()) + let hash ← hash_key key + let i := alloc.vec.Vec.len (List T) self.slots + let hash_mod ← hash % i + let (l, index_mut_back) ← + alloc.vec.Vec.index_mut (List T) Usize + (core.slice.index.SliceIndexUsizeSliceTInst (List T)) self.slots hash_mod + let (inserted, l1) ← HashMap.insert_in_list T key value l + if inserted + then + do + let i1 ← self.num_entries + 1#usize + let v ← index_mut_back l1 + Result.ret { self with num_entries := i1, slots := v } + else do + let v ← index_mut_back l1 + Result.ret { self with slots := v } + +/- [hashmap::{hashmap::HashMap<T>}::move_elements_from_list]: loop 0: Source: 'src/hashmap.rs', lines 183:4-196:5 -/ divergent def HashMap.move_elements_from_list_loop (T : Type) (ntable : HashMap T) (ls : List T) : Result (HashMap T) := match ls with | List.Cons k v tl => do - let ntable0 ← HashMap.insert_no_resize T ntable k v - HashMap.move_elements_from_list_loop T ntable0 tl + let hm ← HashMap.insert_no_resize T ntable k v + HashMap.move_elements_from_list_loop T hm tl | List.Nil => Result.ret ntable -/- [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 -/ def HashMap.move_elements_from_list (T : Type) (ntable : HashMap T) (ls : List T) : Result (HashMap T) := HashMap.move_elements_from_list_loop T 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 -/ divergent def HashMap.move_elements_loop (T : Type) (ntable : HashMap T) (slots : alloc.vec.Vec (List T)) (i : Usize) : Result ((HashMap T) × (alloc.vec.Vec (List T))) := - let i0 := alloc.vec.Vec.len (List T) slots - if i < i0 + let i1 := alloc.vec.Vec.len (List T) slots + if i < i1 then do - let l ← - alloc.vec.Vec.index_mut (List T) Usize - (core.slice.index.SliceIndexUsizeSliceTInst (List T)) slots i - let ls := core.mem.replace (List T) l List.Nil - let ntable0 ← HashMap.move_elements_from_list T ntable ls - let i1 ← i + 1#usize - let l0 := core.mem.replace_back (List T) l List.Nil - let slots0 ← - alloc.vec.Vec.index_mut_back (List T) Usize - (core.slice.index.SliceIndexUsizeSliceTInst (List T)) slots i l0 - HashMap.move_elements_loop T ntable0 slots0 i1 + let (l, index_mut_back) ← + alloc.vec.Vec.index_mut (List T) Usize + (core.slice.index.SliceIndexUsizeSliceTInst (List T)) slots i + let (ls, l1) := core.mem.replace (List T) l List.Nil + let hm ← HashMap.move_elements_from_list T ntable ls + let i2 ← i + 1#usize + let slots1 ← index_mut_back l1 + let back_'a ← HashMap.move_elements_loop T hm slots1 i2 + let (hm1, v) := back_'a + Result.ret (hm1, v) else Result.ret (ntable, slots) -/- [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 -/ def HashMap.move_elements (T : Type) (ntable : HashMap T) (slots : alloc.vec.Vec (List T)) (i : Usize) : Result ((HashMap T) × (alloc.vec.Vec (List T))) := - HashMap.move_elements_loop T ntable slots i + do + let back_'a ← HashMap.move_elements_loop T ntable slots i + let (hm, v) := back_'a + Result.ret (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 -/ def HashMap.try_resize (T : Type) (self : HashMap T) : Result (HashMap T) := do - let max_usize ← Scalar.cast .Usize core_u32_max - let capacity := alloc.vec.Vec.len (List T) self.slots - let n1 ← max_usize / 2#usize - let (i, i0) := self.max_load_factor - let i1 ← n1 / i - if capacity <= i1 - then - do - let i2 ← capacity * 2#usize - let ntable ← HashMap.new_with_capacity T i2 i i0 - let (ntable0, _) ← HashMap.move_elements T ntable self.slots 0#usize - Result.ret - { - ntable0 - with - num_entries := self.num_entries, max_load_factor := (i, i0) - } - else Result.ret { self with max_load_factor := (i, i0) } - -/- [hashmap::{hashmap::HashMap<T>}::insert]: merged forward/backward function - (there is a single backward function, and the forward function returns ()) + let max_usize ← Scalar.cast .Usize core_u32_max + let capacity := alloc.vec.Vec.len (List T) self.slots + let n1 ← max_usize / 2#usize + let (i, i1) := self.max_load_factor + let i2 ← n1 / i + if capacity <= i2 + then + do + let i3 ← capacity * 2#usize + let ntable ← HashMap.new_with_capacity T i3 i i1 + let p ← HashMap.move_elements T ntable self.slots 0#usize + let (ntable1, _) := p + Result.ret + { + ntable1 + with + num_entries := self.num_entries, max_load_factor := (i, i1) + } + else Result.ret { self with max_load_factor := (i, i1) } + +/- [hashmap::{hashmap::HashMap<T>}::insert]: Source: 'src/hashmap.rs', lines 129:4-129:48 -/ def HashMap.insert (T : Type) (self : HashMap T) (key : Usize) (value : T) : Result (HashMap T) := do - let self0 ← HashMap.insert_no_resize T self key value - let i ← HashMap.len T self0 - if i > self0.max_load - then HashMap.try_resize T self0 - else Result.ret self0 + let hm ← HashMap.insert_no_resize T self key value + let i ← HashMap.len T hm + if i > hm.max_load + then HashMap.try_resize T hm + else Result.ret 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 -/ divergent def HashMap.contains_key_in_list_loop (T : Type) (key : Usize) (ls : List T) : Result Bool := match ls with - | List.Cons ckey t tl => + | List.Cons ckey _ tl => if ckey = key then Result.ret true else HashMap.contains_key_in_list_loop T key tl | List.Nil => Result.ret false -/- [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 -/ def HashMap.contains_key_in_list (T : Type) (key : Usize) (ls : List T) : Result Bool := HashMap.contains_key_in_list_loop T 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 -/ def HashMap.contains_key (T : Type) (self : HashMap T) (key : Usize) : Result Bool := do - let hash ← hash_key key - let i := alloc.vec.Vec.len (List T) self.slots - let hash_mod ← hash % i - let l ← - alloc.vec.Vec.index (List T) Usize - (core.slice.index.SliceIndexUsizeSliceTInst (List T)) self.slots - hash_mod - HashMap.contains_key_in_list T key l - -/- [hashmap::{hashmap::HashMap<T>}::get_in_list]: loop 0: forward function + let hash ← hash_key key + let i := alloc.vec.Vec.len (List T) self.slots + let hash_mod ← hash % i + let l ← + alloc.vec.Vec.index (List T) Usize + (core.slice.index.SliceIndexUsizeSliceTInst (List T)) self.slots hash_mod + HashMap.contains_key_in_list T key l + +/- [hashmap::{hashmap::HashMap<T>}::get_in_list]: loop 0: Source: 'src/hashmap.rs', lines 224:4-237:5 -/ divergent def HashMap.get_in_list_loop (T : Type) (key : Usize) (ls : List T) : Result T := @@ -297,231 +265,170 @@ divergent def HashMap.get_in_list_loop else HashMap.get_in_list_loop T key tl | List.Nil => Result.fail .panic -/- [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 -/ def HashMap.get_in_list (T : Type) (key : Usize) (ls : List T) : Result T := HashMap.get_in_list_loop T key ls -/- [hashmap::{hashmap::HashMap<T>}::get]: forward function +/- [hashmap::{hashmap::HashMap<T>}::get]: Source: 'src/hashmap.rs', lines 239:4-239:55 -/ def HashMap.get (T : Type) (self : HashMap T) (key : Usize) : Result T := do - let hash ← hash_key key - let i := alloc.vec.Vec.len (List T) self.slots - let hash_mod ← hash % i - let l ← - alloc.vec.Vec.index (List T) Usize - (core.slice.index.SliceIndexUsizeSliceTInst (List T)) self.slots - hash_mod - HashMap.get_in_list T key l - -/- [hashmap::{hashmap::HashMap<T>}::get_mut_in_list]: loop 0: forward function + let hash ← hash_key key + let i := alloc.vec.Vec.len (List T) self.slots + let hash_mod ← hash % i + let l ← + alloc.vec.Vec.index (List T) Usize + (core.slice.index.SliceIndexUsizeSliceTInst (List T)) self.slots hash_mod + HashMap.get_in_list T key l + +/- [hashmap::{hashmap::HashMap<T>}::get_mut_in_list]: loop 0: Source: 'src/hashmap.rs', lines 245:4-254:5 -/ divergent def HashMap.get_mut_in_list_loop - (T : Type) (ls : List T) (key : Usize) : Result T := - match ls with - | List.Cons ckey cvalue tl => - if ckey = key - then Result.ret cvalue - else HashMap.get_mut_in_list_loop T tl key - | List.Nil => Result.fail .panic - -/- [hashmap::{hashmap::HashMap<T>}::get_mut_in_list]: forward function - Source: 'src/hashmap.rs', lines 245:4-245:86 -/ -def HashMap.get_mut_in_list - (T : Type) (ls : List T) (key : Usize) : Result T := - HashMap.get_mut_in_list_loop T ls key - -/- [hashmap::{hashmap::HashMap<T>}::get_mut_in_list]: loop 0: backward function 0 - Source: 'src/hashmap.rs', lines 245:4-254:5 -/ -divergent def HashMap.get_mut_in_list_loop_back - (T : Type) (ls : List T) (key : Usize) (ret : T) : Result (List T) := + (T : Type) (ls : List T) (key : Usize) : + Result (T × (T → Result (List T))) + := match ls with | List.Cons ckey cvalue tl => if ckey = key - then Result.ret (List.Cons ckey ret tl) + then + let back_'a := fun ret => Result.ret (List.Cons ckey ret tl) + Result.ret (cvalue, back_'a) else do - let tl0 ← HashMap.get_mut_in_list_loop_back T tl key ret - Result.ret (List.Cons ckey cvalue tl0) + let (t, back_'a) ← HashMap.get_mut_in_list_loop T tl key + let back_'a1 := + fun ret => + do + let tl1 ← back_'a ret + Result.ret (List.Cons ckey cvalue tl1) + Result.ret (t, back_'a1) | List.Nil => Result.fail .panic -/- [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 -/ -def HashMap.get_mut_in_list_back - (T : Type) (ls : List T) (key : Usize) (ret : T) : Result (List T) := - HashMap.get_mut_in_list_loop_back T ls key ret - -/- [hashmap::{hashmap::HashMap<T>}::get_mut]: forward function - Source: 'src/hashmap.rs', lines 257:4-257:67 -/ -def HashMap.get_mut (T : Type) (self : HashMap T) (key : Usize) : Result T := +def HashMap.get_mut_in_list + (T : Type) (ls : List T) (key : Usize) : + Result (T × (T → Result (List T))) + := do - let hash ← hash_key key - let i := alloc.vec.Vec.len (List T) self.slots - let hash_mod ← hash % i - let l ← - alloc.vec.Vec.index_mut (List T) Usize - (core.slice.index.SliceIndexUsizeSliceTInst (List T)) self.slots - hash_mod - HashMap.get_mut_in_list T l key + let (t, back_'a) ← HashMap.get_mut_in_list_loop T ls key + Result.ret (t, back_'a) -/- [hashmap::{hashmap::HashMap<T>}::get_mut]: backward function 0 +/- [hashmap::{hashmap::HashMap<T>}::get_mut]: Source: 'src/hashmap.rs', lines 257:4-257:67 -/ -def HashMap.get_mut_back - (T : Type) (self : HashMap T) (key : Usize) (ret : T) : Result (HashMap T) := +def HashMap.get_mut + (T : Type) (self : HashMap T) (key : Usize) : + Result (T × (T → Result (HashMap T))) + := do - let hash ← hash_key key - let i := alloc.vec.Vec.len (List T) self.slots - let hash_mod ← hash % i - let l ← - alloc.vec.Vec.index_mut (List T) Usize - (core.slice.index.SliceIndexUsizeSliceTInst (List T)) self.slots - hash_mod - let l0 ← HashMap.get_mut_in_list_back T l key ret - let v ← - alloc.vec.Vec.index_mut_back (List T) Usize - (core.slice.index.SliceIndexUsizeSliceTInst (List T)) self.slots - hash_mod l0 - Result.ret { self with slots := v } - -/- [hashmap::{hashmap::HashMap<T>}::remove_from_list]: loop 0: forward function - Source: 'src/hashmap.rs', lines 265:4-291:5 -/ -divergent def HashMap.remove_from_list_loop - (T : Type) (key : Usize) (ls : List T) : Result (Option T) := - match ls with - | List.Cons ckey t tl => - if ckey = key - then - let mv_ls := core.mem.replace (List T) (List.Cons ckey t tl) List.Nil - match mv_ls with - | List.Cons i cvalue tl0 => Result.ret (some cvalue) - | List.Nil => Result.fail .panic - else HashMap.remove_from_list_loop T key tl - | List.Nil => Result.ret none - -/- [hashmap::{hashmap::HashMap<T>}::remove_from_list]: forward function - Source: 'src/hashmap.rs', lines 265:4-265:69 -/ -def HashMap.remove_from_list - (T : Type) (key : Usize) (ls : List T) : Result (Option T) := - HashMap.remove_from_list_loop T key ls + let hash ← hash_key key + let i := alloc.vec.Vec.len (List T) self.slots + let hash_mod ← hash % i + let (l, index_mut_back) ← + alloc.vec.Vec.index_mut (List T) Usize + (core.slice.index.SliceIndexUsizeSliceTInst (List T)) self.slots hash_mod + let (t, get_mut_in_list_back) ← HashMap.get_mut_in_list T l key + let back_'a := + fun ret => + do + let l1 ← get_mut_in_list_back ret + let v ← index_mut_back l1 + Result.ret { self with slots := v } + Result.ret (t, back_'a) -/- [hashmap::{hashmap::HashMap<T>}::remove_from_list]: loop 0: backward function 1 +/- [hashmap::{hashmap::HashMap<T>}::remove_from_list]: loop 0: Source: 'src/hashmap.rs', lines 265:4-291:5 -/ -divergent def HashMap.remove_from_list_loop_back - (T : Type) (key : Usize) (ls : List T) : Result (List T) := +divergent def HashMap.remove_from_list_loop + (T : Type) (key : Usize) (ls : List T) : Result ((Option T) × (List T)) := match ls with | List.Cons ckey t tl => if ckey = key then - let mv_ls := core.mem.replace (List T) (List.Cons ckey t tl) List.Nil + let (mv_ls, _) := + core.mem.replace (List T) (List.Cons ckey t tl) List.Nil match mv_ls with - | List.Cons i cvalue tl0 => Result.ret tl0 + | List.Cons _ cvalue tl1 => Result.ret (some cvalue, tl1) | List.Nil => Result.fail .panic else do - let tl0 ← HashMap.remove_from_list_loop_back T key tl - Result.ret (List.Cons ckey t tl0) - | List.Nil => Result.ret List.Nil + let (o, back) ← HashMap.remove_from_list_loop T key tl + Result.ret (o, List.Cons ckey t back) + | List.Nil => Result.ret (none, List.Nil) -/- [hashmap::{hashmap::HashMap<T>}::remove_from_list]: backward function 1 +/- [hashmap::{hashmap::HashMap<T>}::remove_from_list]: Source: 'src/hashmap.rs', lines 265:4-265:69 -/ -def HashMap.remove_from_list_back - (T : Type) (key : Usize) (ls : List T) : Result (List T) := - HashMap.remove_from_list_loop_back T key ls +def HashMap.remove_from_list + (T : Type) (key : Usize) (ls : List T) : Result ((Option T) × (List T)) := + HashMap.remove_from_list_loop T key ls -/- [hashmap::{hashmap::HashMap<T>}::remove]: forward function +/- [hashmap::{hashmap::HashMap<T>}::remove]: Source: 'src/hashmap.rs', lines 294:4-294:52 -/ def HashMap.remove - (T : Type) (self : HashMap T) (key : Usize) : Result (Option T) := - do - let hash ← hash_key key - let i := alloc.vec.Vec.len (List T) self.slots - let hash_mod ← hash % i - let l ← - alloc.vec.Vec.index_mut (List T) Usize - (core.slice.index.SliceIndexUsizeSliceTInst (List T)) self.slots - hash_mod - let x ← HashMap.remove_from_list T key l - match x with - | none => Result.ret none - | some x0 => do - let _ ← self.num_entries - 1#usize - Result.ret (some x0) - -/- [hashmap::{hashmap::HashMap<T>}::remove]: backward function 0 - Source: 'src/hashmap.rs', lines 294:4-294:52 -/ -def HashMap.remove_back - (T : Type) (self : HashMap T) (key : Usize) : Result (HashMap T) := + (T : Type) (self : HashMap T) (key : Usize) : + Result ((Option T) × (HashMap T)) + := do - let hash ← hash_key key - let i := alloc.vec.Vec.len (List T) self.slots - let hash_mod ← hash % i - let l ← - alloc.vec.Vec.index_mut (List T) Usize - (core.slice.index.SliceIndexUsizeSliceTInst (List T)) self.slots - hash_mod - let x ← HashMap.remove_from_list T key l - match x with - | none => - do - let l0 ← HashMap.remove_from_list_back T key l - let v ← - alloc.vec.Vec.index_mut_back (List T) Usize - (core.slice.index.SliceIndexUsizeSliceTInst (List T)) self.slots - hash_mod l0 - Result.ret { self with slots := v } - | some x0 => - do - let i0 ← self.num_entries - 1#usize - let l0 ← HashMap.remove_from_list_back T key l - let v ← - alloc.vec.Vec.index_mut_back (List T) Usize - (core.slice.index.SliceIndexUsizeSliceTInst (List T)) self.slots - hash_mod l0 - Result.ret { self with num_entries := i0, slots := v } - -/- [hashmap::test1]: forward function + let hash ← hash_key key + let i := alloc.vec.Vec.len (List T) self.slots + let hash_mod ← hash % i + let (l, index_mut_back) ← + alloc.vec.Vec.index_mut (List T) Usize + (core.slice.index.SliceIndexUsizeSliceTInst (List T)) self.slots hash_mod + let (x, l1) ← HashMap.remove_from_list T key l + match x with + | none => + do + let v ← index_mut_back l1 + Result.ret (none, { self with slots := v }) + | some x1 => + do + let i1 ← self.num_entries - 1#usize + let v ← index_mut_back l1 + Result.ret (some x1, { self with num_entries := i1, slots := v }) + +/- [hashmap::test1]: Source: 'src/hashmap.rs', lines 315:0-315:10 -/ def test1 : Result Unit := do - let hm ← HashMap.new U64 - let hm0 ← HashMap.insert U64 hm 0#usize 42#u64 - let hm1 ← HashMap.insert U64 hm0 128#usize 18#u64 - let hm2 ← HashMap.insert U64 hm1 1024#usize 138#u64 - let hm3 ← HashMap.insert U64 hm2 1056#usize 256#u64 - let i ← HashMap.get U64 hm3 128#usize - if not (i = 18#u64) + let hm ← HashMap.new U64 + let hm1 ← HashMap.insert U64 hm 0#usize 42#u64 + let hm2 ← HashMap.insert U64 hm1 128#usize 18#u64 + let hm3 ← HashMap.insert U64 hm2 1024#usize 138#u64 + let hm4 ← HashMap.insert U64 hm3 1056#usize 256#u64 + let i ← HashMap.get U64 hm4 128#usize + if not (i = 18#u64) + then Result.fail .panic + else + do + let (_, get_mut_back) ← HashMap.get_mut U64 hm4 1024#usize + let hm5 ← get_mut_back 56#u64 + let i1 ← HashMap.get U64 hm5 1024#usize + if not (i1 = 56#u64) then Result.fail .panic else do - let hm4 ← HashMap.get_mut_back U64 hm3 1024#usize 56#u64 - let i0 ← HashMap.get U64 hm4 1024#usize - if not (i0 = 56#u64) + let (x, hm6) ← HashMap.remove U64 hm5 1024#usize + match x with + | none => Result.fail .panic + | some x1 => + if not (x1 = 56#u64) then Result.fail .panic else do - let x ← HashMap.remove U64 hm4 1024#usize - match x with - | none => Result.fail .panic - | some x0 => - if not (x0 = 56#u64) + let i2 ← HashMap.get U64 hm6 0#usize + if not (i2 = 42#u64) + then Result.fail .panic + else + do + let i3 ← HashMap.get U64 hm6 128#usize + if not (i3 = 18#u64) + then Result.fail .panic + else + do + let i4 ← HashMap.get U64 hm6 1056#usize + if not (i4 = 256#u64) then Result.fail .panic - else - do - let hm5 ← HashMap.remove_back U64 hm4 1024#usize - let i1 ← HashMap.get U64 hm5 0#usize - if not (i1 = 42#u64) - then Result.fail .panic - else - do - let i2 ← HashMap.get U64 hm5 128#usize - if not (i2 = 18#u64) - then Result.fail .panic - else - do - let i3 ← HashMap.get U64 hm5 1056#usize - if not (i3 = 256#u64) - then Result.fail .panic - else Result.ret () + else Result.ret () end hashmap diff --git a/tests/lean/Hashmap/Properties.lean b/tests/lean/Hashmap/Properties.lean index e79c422d..7215e286 100644 --- a/tests/lean/Hashmap/Properties.lean +++ b/tests/lean/Hashmap/Properties.lean @@ -55,71 +55,6 @@ theorem match_lawful_beq [BEq α] [LawfulBEq α] [DecidableEq α] (x y : α) : (x == y) = (if x = y then true else false) := by split <;> simp_all -@[pspec] -theorem insert_in_list_spec0 {α : Type} (key: Usize) (value: α) (ls: List α) : - ∃ b, - insert_in_list α key value ls = ret b ∧ - (b ↔ ls.lookup key = none) - := match ls with - | .Nil => by simp [insert_in_list, insert_in_list_loop] - | .Cons k v tl => - if h: k = key then -- TODO: The order of k/key matters - by - simp [insert_in_list] - rw [insert_in_list_loop] - simp [h] - else - have ⟨ b, hi ⟩ := insert_in_list_spec0 key value tl - by - exists b - simp [insert_in_list] - rw [insert_in_list_loop] -- TODO: Using simp leads to infinite recursion - simp only [insert_in_list] at hi - simp [*] - --- Variation: use progress -theorem insert_in_list_spec1 {α : Type} (key: Usize) (value: α) (ls: List α) : - ∃ b, - insert_in_list α key value ls = ret b ∧ - (b ↔ ls.lookup key = none) - := match ls with - | .Nil => by simp [insert_in_list, insert_in_list_loop] - | .Cons k v tl => - if h: k = key then -- TODO: The order of k/key matters - by - simp [insert_in_list] - rw [insert_in_list_loop] - simp [h] - else - by - simp only [insert_in_list] - rw [insert_in_list_loop] - conv => rhs; ext; simp [*] - progress keep heq as ⟨ b, hi ⟩ - simp only [insert_in_list] at heq - exists b - --- Variation: use tactics from the beginning -theorem insert_in_list_spec2 {α : Type} (key: Usize) (value: α) (ls: List α) : - ∃ b, - insert_in_list α key value ls = ret b ∧ - (b ↔ (ls.lookup key = none)) - := by - induction ls - case Nil => simp [insert_in_list, insert_in_list_loop] - case Cons k v tl ih => - simp only [insert_in_list] - rw [insert_in_list_loop] - simp only - if h: k = key then - simp [h] - else - conv => rhs; ext; left; simp [h] -- TODO: Simplify - simp only [insert_in_list] at ih; - -- TODO: give the possibility of using underscores - progress as ⟨ b, h ⟩ - simp [*] - def distinct_keys (ls : Core.List (Usize × α)) := ls.pairwise_rel (λ x y => x.fst ≠ y.fst) def hash_mod_key (k : Usize) (l : Int) : Int := @@ -175,11 +110,16 @@ def inv (hm : HashMap α) : Prop := base_inv hm -- TODO: either the hashmap is not overloaded, or we can't resize it -theorem insert_in_list_back_spec_aux {α : Type} (l : Int) (key: Usize) (value: α) (l0: List α) +-- This rewriting lemma is problematic below +attribute [-simp] Bool.exists_bool + +theorem insert_in_list_spec_aux {α : Type} (l : Int) (key: Usize) (value: α) (l0: List α) (hinv : slot_s_inv_hash l (hash_mod_key key l) l0.v) (hdk : distinct_keys l0.v) : - ∃ l1, - insert_in_list_back α key value l0 = ret l1 ∧ + ∃ b l1, + insert_in_list α key value l0 = ret (b, l1) ∧ + -- The boolean is true ↔ we inserted a new binding + (b ↔ (l0.lookup key = none)) ∧ -- We update the binding l1.lookup key = value ∧ (∀ k, k ≠ key → l1.lookup k = l0.lookup k) ∧ @@ -193,16 +133,19 @@ theorem insert_in_list_back_spec_aux {α : Type} (l : Int) (key: Usize) (value: distinct_keys l1.v ∧ -- We need this auxiliary property to prove that the keys distinct properties is preserved (∀ k, k ≠ key → l0.v.allP (λ (k1, _) => k ≠ k1) → l1.v.allP (λ (k1, _) => k ≠ k1)) - := match l0 with - | .Nil => by checkpoint + := + match l0 with + | .Nil => by + exists true -- TODO: why do we need to do this? simp (config := {contextual := true}) - [insert_in_list_back, insert_in_list_loop_back, + [insert_in_list, insert_in_list_loop, List.v, slot_s_inv_hash, distinct_keys, List.pairwise_rel] | .Cons k v tl0 => - if h: k = key then by checkpoint - simp [insert_in_list_back] - rw [insert_in_list_loop_back] + if h: k = key then by + rw [insert_in_list] + rw [insert_in_list_loop] simp [h] + exists false; simp -- TODO: why do we need to do this? split_conjs . intros; simp [*] . simp [List.v, slot_s_inv_hash] at * @@ -210,17 +153,17 @@ theorem insert_in_list_back_spec_aux {α : Type} (l : Int) (key: Usize) (value: . simp [*, distinct_keys] at * apply hdk . tauto - else by checkpoint - simp [insert_in_list_back] - rw [insert_in_list_loop_back] + else by + rw [insert_in_list] + rw [insert_in_list_loop] simp [h] have : slot_s_inv_hash l (hash_mod_key key l) (List.v tl0) := by checkpoint simp_all [List.v, slot_s_inv_hash] have : distinct_keys (List.v tl0) := by checkpoint simp [distinct_keys] at hdk simp [hdk, distinct_keys] - progress keep heq as ⟨ tl1 .. ⟩ - simp only [insert_in_list_back] at heq + progress keep heq as ⟨ b, tl1 .. ⟩ + simp only [insert_in_list] at heq have : slot_s_inv_hash l (hash_mod_key key l) (List.v (List.Cons k v tl1)) := by checkpoint simp [List.v, slot_s_inv_hash] at * simp [*] @@ -228,14 +171,16 @@ theorem insert_in_list_back_spec_aux {α : Type} (l : Int) (key: Usize) (value: simp [distinct_keys] at * simp [*] -- TODO: canonize addition by default? + exists b simp_all [Int.add_assoc, Int.add_comm, Int.add_left_comm] @[pspec] -theorem insert_in_list_back_spec {α : Type} (l : Int) (key: Usize) (value: α) (l0: List α) +theorem insert_in_list_spec {α : Type} (l : Int) (key: Usize) (value: α) (l0: List α) (hinv : slot_s_inv_hash l (hash_mod_key key l) l0.v) (hdk : distinct_keys l0.v) : - ∃ l1, - insert_in_list_back α key value l0 = ret l1 ∧ + ∃ b l1, + insert_in_list α key value l0 = ret (b, l1) ∧ + (b ↔ (l0.lookup key = none)) ∧ -- We update the binding l1.lookup key = value ∧ (∀ k, k ≠ key → l1.lookup k = l0.lookup k) ∧ @@ -248,7 +193,8 @@ theorem insert_in_list_back_spec {α : Type} (l : Int) (key: Usize) (value: α) -- The keys are distinct distinct_keys l1.v := by - progress with insert_in_list_back_spec_aux as ⟨ l1 .. ⟩ + progress with insert_in_list_spec_aux as ⟨ b, l1 .. ⟩ + exists b exists l1 @[simp] @@ -286,7 +232,7 @@ set_option pp.coercions false -- do not print coercions with ↑ (this doesn't p -- The proof below is a bit expensive, so we need to increase the maximum number -- of heart beats -set_option maxHeartbeats 400000 +set_option maxHeartbeats 1000000 theorem insert_no_resize_spec {α : Type} (hm : HashMap α) (key : Usize) (value : α) (hinv : hm.inv) (hnsat : hm.lookup key = none → hm.len_s < Usize.max) : @@ -315,9 +261,19 @@ theorem insert_no_resize_spec {α : Type} (hm : HashMap α) (key : Usize) (value simp [hinv] -- TODO: we want to automate that simp [*, Int.emod_lt_of_pos] - progress as ⟨ l, h_leq ⟩ - -- TODO: make progress use the names written in the goal - progress as ⟨ inserted ⟩ + progress as ⟨ l, index_mut_back, h_leq, h_index_mut_back ⟩ + simp [h_index_mut_back] at *; clear h_index_mut_back index_mut_back + have h_slot : + slot_s_inv_hash hm.slots.length (hash_mod_key key hm.slots.length) l.v := by + simp [inv] at hinv + have h := (hinv.right.left hash_mod.val (by assumption) (by assumption)).right + simp [slot_t_inv, hhm] at h + simp [h, hhm, h_leq] + have hd : distinct_keys l.v := by + simp [inv, slots_t_inv, slot_t_inv] at hinv + have h := hinv.right.left hash_mod.val (by assumption) (by assumption) + simp [h, h_leq] + progress as ⟨ inserted, l0, _, _, _, _, hlen .. ⟩ rw [if_update_eq] -- TODO: necessary because we don't have a join -- TODO: progress to ... have hipost : @@ -336,20 +292,9 @@ theorem insert_no_resize_spec {α : Type} (hm : HashMap α) (key : Usize) (value else simp [*, Pure.pure] progress as ⟨ i0 ⟩ - have h_slot : slot_s_inv_hash hm.slots.length (hash_mod_key key hm.slots.length) l.v - := by - simp [inv] at hinv - have h := (hinv.right.left hash_mod.val (by assumption) (by assumption)).right - simp [slot_t_inv, hhm] at h - simp [h, hhm, h_leq] - have hd : distinct_keys l.v := by checkpoint - simp [inv, slots_t_inv, slot_t_inv] at hinv - have h := hinv.right.left hash_mod.val (by assumption) (by assumption) - simp [h, h_leq] -- TODO: hide the variables and only keep the props -- TODO: allow providing terms to progress to instantiate the meta variables -- which are not propositions - progress as ⟨ l0, _, _, _, hlen .. ⟩ progress keep hv as ⟨ v, h_veq ⟩ -- TODO: update progress to automate that -- TODO: later I don't want to inline nhm - we need to control simp: deactivate @@ -428,8 +373,7 @@ theorem insert_no_resize_spec {α : Type} (hm : HashMap α) (key : Usize) (value simp [*] else simp [*] - . -- TODO: simp[*] fails: "(deterministic) timeout at 'whnf'" - simp [hinv, h_veq, nhm_eq] + . simp [hinv, h_veq, nhm_eq] simp_all end HashMap diff --git a/tests/lean/HashmapMain/Funs.lean b/tests/lean/HashmapMain/Funs.lean index f87ad355..ebed2570 100644 --- a/tests/lean/HashmapMain/Funs.lean +++ b/tests/lean/HashmapMain/Funs.lean @@ -7,12 +7,12 @@ open Primitives namespace hashmap_main -/- [hashmap_main::hashmap::hash_key]: forward function +/- [hashmap_main::hashmap::hash_key]: Source: 'src/hashmap.rs', lines 27:0-27:32 -/ def hashmap.hash_key (k : Usize) : Result Usize := Result.ret 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 -/ divergent def hashmap.HashMap.allocate_slots_loop (T : Type) (slots : alloc.vec.Vec (hashmap.List T)) (n : Usize) : @@ -21,12 +21,12 @@ divergent def hashmap.HashMap.allocate_slots_loop if n > 0#usize then do - let slots0 ← alloc.vec.Vec.push (hashmap.List T) slots hashmap.List.Nil - let n0 ← n - 1#usize - hashmap.HashMap.allocate_slots_loop T slots0 n0 + let v ← alloc.vec.Vec.push (hashmap.List T) slots hashmap.List.Nil + let n1 ← n - 1#usize + hashmap.HashMap.allocate_slots_loop T v n1 else Result.ret slots -/- [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 -/ def hashmap.HashMap.allocate_slots (T : Type) (slots : alloc.vec.Vec (hashmap.List T)) (n : Usize) : @@ -34,7 +34,7 @@ def hashmap.HashMap.allocate_slots := hashmap.HashMap.allocate_slots_loop T slots n -/- [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 -/ def hashmap.HashMap.new_with_capacity (T : Type) (capacity : Usize) (max_load_dividend : Usize) @@ -42,136 +42,106 @@ def hashmap.HashMap.new_with_capacity Result (hashmap.HashMap T) := do - let v := alloc.vec.Vec.new (hashmap.List T) - let slots ← hashmap.HashMap.allocate_slots T v capacity - let i ← capacity * max_load_dividend - let i0 ← i / max_load_divisor - Result.ret - { - num_entries := 0#usize, - max_load_factor := (max_load_dividend, max_load_divisor), - max_load := i0, - slots := slots - } - -/- [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::new]: forward function + let slots ← + hashmap.HashMap.allocate_slots T (alloc.vec.Vec.new (hashmap.List T)) + capacity + let i ← capacity * max_load_dividend + let i1 ← i / max_load_divisor + Result.ret + { + num_entries := 0#usize, + max_load_factor := (max_load_dividend, max_load_divisor), + max_load := i1, + slots := slots + } + +/- [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::new]: Source: 'src/hashmap.rs', lines 75:4-75:24 -/ def hashmap.HashMap.new (T : Type) : Result (hashmap.HashMap T) := hashmap.HashMap.new_with_capacity T 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 -/ divergent def hashmap.HashMap.clear_loop (T : Type) (slots : alloc.vec.Vec (hashmap.List T)) (i : Usize) : Result (alloc.vec.Vec (hashmap.List T)) := - let i0 := alloc.vec.Vec.len (hashmap.List T) slots - if i < i0 + let i1 := alloc.vec.Vec.len (hashmap.List T) slots + if i < i1 then do - let i1 ← i + 1#usize - let slots0 ← - alloc.vec.Vec.index_mut_back (hashmap.List T) Usize - (core.slice.index.SliceIndexUsizeSliceTInst (hashmap.List T)) slots i - hashmap.List.Nil - hashmap.HashMap.clear_loop T slots0 i1 + let (_, index_mut_back) ← + alloc.vec.Vec.index_mut (hashmap.List T) Usize + (core.slice.index.SliceIndexUsizeSliceTInst (hashmap.List T)) slots i + let i2 ← i + 1#usize + let slots1 ← index_mut_back hashmap.List.Nil + hashmap.HashMap.clear_loop T slots1 i2 else Result.ret slots -/- [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 -/ def hashmap.HashMap.clear (T : Type) (self : hashmap.HashMap T) : Result (hashmap.HashMap T) := do - let v ← hashmap.HashMap.clear_loop T self.slots 0#usize - Result.ret { self with num_entries := 0#usize, slots := v } + let back ← hashmap.HashMap.clear_loop T self.slots 0#usize + Result.ret { self with num_entries := 0#usize, 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 -/ def hashmap.HashMap.len (T : Type) (self : hashmap.HashMap T) : Result Usize := Result.ret self.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 -/ divergent def hashmap.HashMap.insert_in_list_loop - (T : Type) (key : Usize) (value : T) (ls : hashmap.List T) : Result Bool := - match ls with - | hashmap.List.Cons ckey cvalue tl => - if ckey = key - then Result.ret false - else hashmap.HashMap.insert_in_list_loop T key value tl - | hashmap.List.Nil => Result.ret true - -/- [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::insert_in_list]: forward function - Source: 'src/hashmap.rs', lines 97:4-97:71 -/ -def hashmap.HashMap.insert_in_list - (T : Type) (key : Usize) (value : T) (ls : hashmap.List T) : Result Bool := - hashmap.HashMap.insert_in_list_loop T 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 -/ -divergent def hashmap.HashMap.insert_in_list_loop_back (T : Type) (key : Usize) (value : T) (ls : hashmap.List T) : - Result (hashmap.List T) + Result (Bool × (hashmap.List T)) := match ls with | hashmap.List.Cons ckey cvalue tl => if ckey = key - then Result.ret (hashmap.List.Cons ckey value tl) + then Result.ret (false, hashmap.List.Cons ckey value tl) else do - let tl0 ← hashmap.HashMap.insert_in_list_loop_back T key value tl - Result.ret (hashmap.List.Cons ckey cvalue tl0) + let (b, back) ← hashmap.HashMap.insert_in_list_loop T key value tl + Result.ret (b, hashmap.List.Cons ckey cvalue back) | hashmap.List.Nil => - let l := hashmap.List.Nil - Result.ret (hashmap.List.Cons key value l) + Result.ret (true, hashmap.List.Cons key value hashmap.List.Nil) -/- [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 -/ -def hashmap.HashMap.insert_in_list_back +def hashmap.HashMap.insert_in_list (T : Type) (key : Usize) (value : T) (ls : hashmap.List T) : - Result (hashmap.List T) + Result (Bool × (hashmap.List T)) := - hashmap.HashMap.insert_in_list_loop_back T key value ls + hashmap.HashMap.insert_in_list_loop T 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 -/ def hashmap.HashMap.insert_no_resize (T : Type) (self : hashmap.HashMap T) (key : Usize) (value : T) : Result (hashmap.HashMap T) := do - let hash ← hashmap.hash_key key - let i := alloc.vec.Vec.len (hashmap.List T) self.slots - let hash_mod ← hash % i - let l ← - alloc.vec.Vec.index_mut (hashmap.List T) Usize - (core.slice.index.SliceIndexUsizeSliceTInst (hashmap.List T)) - self.slots hash_mod - let inserted ← hashmap.HashMap.insert_in_list T key value l - if inserted - then - do - let i0 ← self.num_entries + 1#usize - let l0 ← hashmap.HashMap.insert_in_list_back T key value l - let v ← - alloc.vec.Vec.index_mut_back (hashmap.List T) Usize - (core.slice.index.SliceIndexUsizeSliceTInst (hashmap.List T)) - self.slots hash_mod l0 - Result.ret { self with num_entries := i0, slots := v } - else - do - let l0 ← hashmap.HashMap.insert_in_list_back T key value l - let v ← - alloc.vec.Vec.index_mut_back (hashmap.List T) Usize - (core.slice.index.SliceIndexUsizeSliceTInst (hashmap.List T)) - self.slots hash_mod l0 - Result.ret { self with slots := v } - -/- [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 ()) + let hash ← hashmap.hash_key key + let i := alloc.vec.Vec.len (hashmap.List T) self.slots + let hash_mod ← hash % i + let (l, index_mut_back) ← + alloc.vec.Vec.index_mut (hashmap.List T) Usize + (core.slice.index.SliceIndexUsizeSliceTInst (hashmap.List T)) self.slots + hash_mod + let (inserted, l1) ← hashmap.HashMap.insert_in_list T key value l + if inserted + then + do + let i1 ← self.num_entries + 1#usize + let v ← index_mut_back l1 + Result.ret { self with num_entries := i1, slots := v } + else do + let v ← index_mut_back l1 + Result.ret { self with slots := v } + +/- [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::move_elements_from_list]: loop 0: Source: 'src/hashmap.rs', lines 183:4-196:5 -/ divergent def hashmap.HashMap.move_elements_from_list_loop (T : Type) (ntable : hashmap.HashMap T) (ls : hashmap.List T) : @@ -180,12 +150,11 @@ divergent def hashmap.HashMap.move_elements_from_list_loop match ls with | hashmap.List.Cons k v tl => do - let ntable0 ← hashmap.HashMap.insert_no_resize T ntable k v - hashmap.HashMap.move_elements_from_list_loop T ntable0 tl + let hm ← hashmap.HashMap.insert_no_resize T ntable k v + hashmap.HashMap.move_elements_from_list_loop T hm tl | hashmap.List.Nil => Result.ret ntable -/- [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 -/ def hashmap.HashMap.move_elements_from_list (T : Type) (ntable : hashmap.HashMap T) (ls : hashmap.List T) : @@ -193,114 +162,111 @@ def hashmap.HashMap.move_elements_from_list := hashmap.HashMap.move_elements_from_list_loop T 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 -/ divergent def hashmap.HashMap.move_elements_loop (T : Type) (ntable : hashmap.HashMap T) (slots : alloc.vec.Vec (hashmap.List T)) (i : Usize) : Result ((hashmap.HashMap T) × (alloc.vec.Vec (hashmap.List T))) := - let i0 := alloc.vec.Vec.len (hashmap.List T) slots - if i < i0 + let i1 := alloc.vec.Vec.len (hashmap.List T) slots + if i < i1 then do - let l ← - alloc.vec.Vec.index_mut (hashmap.List T) Usize - (core.slice.index.SliceIndexUsizeSliceTInst (hashmap.List T)) slots i - let ls := core.mem.replace (hashmap.List T) l hashmap.List.Nil - let ntable0 ← hashmap.HashMap.move_elements_from_list T ntable ls - let i1 ← i + 1#usize - let l0 := core.mem.replace_back (hashmap.List T) l hashmap.List.Nil - let slots0 ← - alloc.vec.Vec.index_mut_back (hashmap.List T) Usize - (core.slice.index.SliceIndexUsizeSliceTInst (hashmap.List T)) slots i - l0 - hashmap.HashMap.move_elements_loop T ntable0 slots0 i1 + let (l, index_mut_back) ← + alloc.vec.Vec.index_mut (hashmap.List T) Usize + (core.slice.index.SliceIndexUsizeSliceTInst (hashmap.List T)) slots i + let (ls, l1) := core.mem.replace (hashmap.List T) l hashmap.List.Nil + let hm ← hashmap.HashMap.move_elements_from_list T ntable ls + let i2 ← i + 1#usize + let slots1 ← index_mut_back l1 + let back_'a ← hashmap.HashMap.move_elements_loop T hm slots1 i2 + let (hm1, v) := back_'a + Result.ret (hm1, v) else Result.ret (ntable, slots) -/- [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 -/ def hashmap.HashMap.move_elements (T : Type) (ntable : hashmap.HashMap T) (slots : alloc.vec.Vec (hashmap.List T)) (i : Usize) : Result ((hashmap.HashMap T) × (alloc.vec.Vec (hashmap.List T))) := - hashmap.HashMap.move_elements_loop T ntable slots i + do + let back_'a ← hashmap.HashMap.move_elements_loop T ntable slots i + let (hm, v) := back_'a + Result.ret (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 -/ def hashmap.HashMap.try_resize (T : Type) (self : hashmap.HashMap T) : Result (hashmap.HashMap T) := do - let max_usize ← Scalar.cast .Usize core_u32_max - let capacity := alloc.vec.Vec.len (hashmap.List T) self.slots - let n1 ← max_usize / 2#usize - let (i, i0) := self.max_load_factor - let i1 ← n1 / i - if capacity <= i1 - then - do - let i2 ← capacity * 2#usize - let ntable ← hashmap.HashMap.new_with_capacity T i2 i i0 - let (ntable0, _) ← - hashmap.HashMap.move_elements T ntable self.slots 0#usize - Result.ret - { - ntable0 - with - num_entries := self.num_entries, max_load_factor := (i, i0) - } - else Result.ret { self with max_load_factor := (i, i0) } - -/- [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::insert]: merged forward/backward function - (there is a single backward function, and the forward function returns ()) + let max_usize ← Scalar.cast .Usize core_u32_max + let capacity := alloc.vec.Vec.len (hashmap.List T) self.slots + let n1 ← max_usize / 2#usize + let (i, i1) := self.max_load_factor + let i2 ← n1 / i + if capacity <= i2 + then + do + let i3 ← capacity * 2#usize + let ntable ← hashmap.HashMap.new_with_capacity T i3 i i1 + let p ← hashmap.HashMap.move_elements T ntable self.slots 0#usize + let (ntable1, _) := p + Result.ret + { + ntable1 + with + num_entries := self.num_entries, max_load_factor := (i, i1) + } + else Result.ret { self with max_load_factor := (i, i1) } + +/- [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::insert]: Source: 'src/hashmap.rs', lines 129:4-129:48 -/ def hashmap.HashMap.insert (T : Type) (self : hashmap.HashMap T) (key : Usize) (value : T) : Result (hashmap.HashMap T) := do - let self0 ← hashmap.HashMap.insert_no_resize T self key value - let i ← hashmap.HashMap.len T self0 - if i > self0.max_load - then hashmap.HashMap.try_resize T self0 - else Result.ret self0 + let hm ← hashmap.HashMap.insert_no_resize T self key value + let i ← hashmap.HashMap.len T hm + if i > hm.max_load + then hashmap.HashMap.try_resize T hm + else Result.ret 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 -/ divergent def hashmap.HashMap.contains_key_in_list_loop (T : Type) (key : Usize) (ls : hashmap.List T) : Result Bool := match ls with - | hashmap.List.Cons ckey t tl => + | hashmap.List.Cons ckey _ tl => if ckey = key then Result.ret true else hashmap.HashMap.contains_key_in_list_loop T key tl | hashmap.List.Nil => Result.ret false -/- [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 -/ def hashmap.HashMap.contains_key_in_list (T : Type) (key : Usize) (ls : hashmap.List T) : Result Bool := hashmap.HashMap.contains_key_in_list_loop T 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 -/ def hashmap.HashMap.contains_key (T : Type) (self : hashmap.HashMap T) (key : Usize) : Result Bool := do - let hash ← hashmap.hash_key key - let i := alloc.vec.Vec.len (hashmap.List T) self.slots - let hash_mod ← hash % i - let l ← - alloc.vec.Vec.index (hashmap.List T) Usize - (core.slice.index.SliceIndexUsizeSliceTInst (hashmap.List T)) - self.slots hash_mod - hashmap.HashMap.contains_key_in_list T key l - -/- [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::get_in_list]: loop 0: forward function + let hash ← hashmap.hash_key key + let i := alloc.vec.Vec.len (hashmap.List T) self.slots + let hash_mod ← hash % i + let l ← + alloc.vec.Vec.index (hashmap.List T) Usize + (core.slice.index.SliceIndexUsizeSliceTInst (hashmap.List T)) self.slots + hash_mod + hashmap.HashMap.contains_key_in_list T key l + +/- [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::get_in_list]: loop 0: Source: 'src/hashmap.rs', lines 224:4-237:5 -/ divergent def hashmap.HashMap.get_in_list_loop (T : Type) (key : Usize) (ls : hashmap.List T) : Result T := @@ -311,259 +277,193 @@ divergent def hashmap.HashMap.get_in_list_loop else hashmap.HashMap.get_in_list_loop T key tl | hashmap.List.Nil => Result.fail .panic -/- [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 -/ def hashmap.HashMap.get_in_list (T : Type) (key : Usize) (ls : hashmap.List T) : Result T := hashmap.HashMap.get_in_list_loop T 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 -/ def hashmap.HashMap.get (T : Type) (self : hashmap.HashMap T) (key : Usize) : Result T := do - let hash ← hashmap.hash_key key - let i := alloc.vec.Vec.len (hashmap.List T) self.slots - let hash_mod ← hash % i - let l ← - alloc.vec.Vec.index (hashmap.List T) Usize - (core.slice.index.SliceIndexUsizeSliceTInst (hashmap.List T)) - self.slots hash_mod - hashmap.HashMap.get_in_list T key l - -/- [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::get_mut_in_list]: loop 0: forward function + let hash ← hashmap.hash_key key + let i := alloc.vec.Vec.len (hashmap.List T) self.slots + let hash_mod ← hash % i + let l ← + alloc.vec.Vec.index (hashmap.List T) Usize + (core.slice.index.SliceIndexUsizeSliceTInst (hashmap.List T)) self.slots + hash_mod + hashmap.HashMap.get_in_list T key l + +/- [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::get_mut_in_list]: loop 0: Source: 'src/hashmap.rs', lines 245:4-254:5 -/ divergent def hashmap.HashMap.get_mut_in_list_loop - (T : Type) (ls : hashmap.List T) (key : Usize) : Result T := - match ls with - | hashmap.List.Cons ckey cvalue tl => - if ckey = key - then Result.ret cvalue - else hashmap.HashMap.get_mut_in_list_loop T tl key - | hashmap.List.Nil => Result.fail .panic - -/- [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::get_mut_in_list]: forward function - Source: 'src/hashmap.rs', lines 245:4-245:86 -/ -def hashmap.HashMap.get_mut_in_list - (T : Type) (ls : hashmap.List T) (key : Usize) : Result T := - hashmap.HashMap.get_mut_in_list_loop T 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 -/ -divergent def hashmap.HashMap.get_mut_in_list_loop_back - (T : Type) (ls : hashmap.List T) (key : Usize) (ret : T) : - Result (hashmap.List T) + (T : Type) (ls : hashmap.List T) (key : Usize) : + Result (T × (T → Result (hashmap.List T))) := match ls with | hashmap.List.Cons ckey cvalue tl => if ckey = key - then Result.ret (hashmap.List.Cons ckey ret tl) + then + let back_'a := fun ret => Result.ret (hashmap.List.Cons ckey ret tl) + Result.ret (cvalue, back_'a) else do - let tl0 ← hashmap.HashMap.get_mut_in_list_loop_back T tl key ret - Result.ret (hashmap.List.Cons ckey cvalue tl0) + let (t, back_'a) ← hashmap.HashMap.get_mut_in_list_loop T tl key + let back_'a1 := + fun ret => + do + let tl1 ← back_'a ret + Result.ret (hashmap.List.Cons ckey cvalue tl1) + Result.ret (t, back_'a1) | hashmap.List.Nil => Result.fail .panic -/- [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 -/ -def hashmap.HashMap.get_mut_in_list_back - (T : Type) (ls : hashmap.List T) (key : Usize) (ret : T) : - Result (hashmap.List T) +def hashmap.HashMap.get_mut_in_list + (T : Type) (ls : hashmap.List T) (key : Usize) : + Result (T × (T → Result (hashmap.List T))) := - hashmap.HashMap.get_mut_in_list_loop_back T ls key ret - -/- [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::get_mut]: forward function - Source: 'src/hashmap.rs', lines 257:4-257:67 -/ -def hashmap.HashMap.get_mut - (T : Type) (self : hashmap.HashMap T) (key : Usize) : Result T := do - let hash ← hashmap.hash_key key - let i := alloc.vec.Vec.len (hashmap.List T) self.slots - let hash_mod ← hash % i - let l ← - alloc.vec.Vec.index_mut (hashmap.List T) Usize - (core.slice.index.SliceIndexUsizeSliceTInst (hashmap.List T)) - self.slots hash_mod - hashmap.HashMap.get_mut_in_list T l key + let (t, back_'a) ← hashmap.HashMap.get_mut_in_list_loop T ls key + Result.ret (t, back_'a) -/- [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::get_mut]: backward function 0 +/- [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::get_mut]: Source: 'src/hashmap.rs', lines 257:4-257:67 -/ -def hashmap.HashMap.get_mut_back - (T : Type) (self : hashmap.HashMap T) (key : Usize) (ret : T) : - Result (hashmap.HashMap T) +def hashmap.HashMap.get_mut + (T : Type) (self : hashmap.HashMap T) (key : Usize) : + Result (T × (T → Result (hashmap.HashMap T))) := do - let hash ← hashmap.hash_key key - let i := alloc.vec.Vec.len (hashmap.List T) self.slots - let hash_mod ← hash % i - let l ← - alloc.vec.Vec.index_mut (hashmap.List T) Usize - (core.slice.index.SliceIndexUsizeSliceTInst (hashmap.List T)) - self.slots hash_mod - let l0 ← hashmap.HashMap.get_mut_in_list_back T l key ret - let v ← - alloc.vec.Vec.index_mut_back (hashmap.List T) Usize - (core.slice.index.SliceIndexUsizeSliceTInst (hashmap.List T)) - self.slots hash_mod l0 - Result.ret { self with slots := v } - -/- [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::remove_from_list]: loop 0: forward function - Source: 'src/hashmap.rs', lines 265:4-291:5 -/ -divergent def hashmap.HashMap.remove_from_list_loop - (T : Type) (key : Usize) (ls : hashmap.List T) : Result (Option T) := - match ls with - | hashmap.List.Cons ckey t tl => - if ckey = key - then - let mv_ls := - core.mem.replace (hashmap.List T) (hashmap.List.Cons ckey t tl) - hashmap.List.Nil - match mv_ls with - | hashmap.List.Cons i cvalue tl0 => Result.ret (some cvalue) - | hashmap.List.Nil => Result.fail .panic - else hashmap.HashMap.remove_from_list_loop T key tl - | hashmap.List.Nil => Result.ret none - -/- [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::remove_from_list]: forward function - Source: 'src/hashmap.rs', lines 265:4-265:69 -/ -def hashmap.HashMap.remove_from_list - (T : Type) (key : Usize) (ls : hashmap.List T) : Result (Option T) := - hashmap.HashMap.remove_from_list_loop T key ls + let hash ← hashmap.hash_key key + let i := alloc.vec.Vec.len (hashmap.List T) self.slots + let hash_mod ← hash % i + let (l, index_mut_back) ← + alloc.vec.Vec.index_mut (hashmap.List T) Usize + (core.slice.index.SliceIndexUsizeSliceTInst (hashmap.List T)) self.slots + hash_mod + let (t, get_mut_in_list_back) ← hashmap.HashMap.get_mut_in_list T l key + let back_'a := + fun ret => + do + let l1 ← get_mut_in_list_back ret + let v ← index_mut_back l1 + Result.ret { self with slots := v } + Result.ret (t, back_'a) -/- [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::remove_from_list]: loop 0: backward function 1 +/- [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::remove_from_list]: loop 0: Source: 'src/hashmap.rs', lines 265:4-291:5 -/ -divergent def hashmap.HashMap.remove_from_list_loop_back - (T : Type) (key : Usize) (ls : hashmap.List T) : Result (hashmap.List T) := +divergent def hashmap.HashMap.remove_from_list_loop + (T : Type) (key : Usize) (ls : hashmap.List T) : + Result ((Option T) × (hashmap.List T)) + := match ls with | hashmap.List.Cons ckey t tl => if ckey = key then - let mv_ls := + let (mv_ls, _) := core.mem.replace (hashmap.List T) (hashmap.List.Cons ckey t tl) hashmap.List.Nil match mv_ls with - | hashmap.List.Cons i cvalue tl0 => Result.ret tl0 + | hashmap.List.Cons _ cvalue tl1 => Result.ret (some cvalue, tl1) | hashmap.List.Nil => Result.fail .panic else do - let tl0 ← hashmap.HashMap.remove_from_list_loop_back T key tl - Result.ret (hashmap.List.Cons ckey t tl0) - | hashmap.List.Nil => Result.ret hashmap.List.Nil + let (o, back) ← hashmap.HashMap.remove_from_list_loop T key tl + Result.ret (o, hashmap.List.Cons ckey t back) + | hashmap.List.Nil => Result.ret (none, hashmap.List.Nil) -/- [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::remove_from_list]: backward function 1 +/- [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::remove_from_list]: Source: 'src/hashmap.rs', lines 265:4-265:69 -/ -def hashmap.HashMap.remove_from_list_back - (T : Type) (key : Usize) (ls : hashmap.List T) : Result (hashmap.List T) := - hashmap.HashMap.remove_from_list_loop_back T key ls +def hashmap.HashMap.remove_from_list + (T : Type) (key : Usize) (ls : hashmap.List T) : + Result ((Option T) × (hashmap.List T)) + := + hashmap.HashMap.remove_from_list_loop T 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 -/ def hashmap.HashMap.remove - (T : Type) (self : hashmap.HashMap T) (key : Usize) : Result (Option T) := - do - let hash ← hashmap.hash_key key - let i := alloc.vec.Vec.len (hashmap.List T) self.slots - let hash_mod ← hash % i - let l ← - alloc.vec.Vec.index_mut (hashmap.List T) Usize - (core.slice.index.SliceIndexUsizeSliceTInst (hashmap.List T)) - self.slots hash_mod - let x ← hashmap.HashMap.remove_from_list T key l - match x with - | none => Result.ret none - | some x0 => do - let _ ← self.num_entries - 1#usize - Result.ret (some x0) - -/- [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::remove]: backward function 0 - Source: 'src/hashmap.rs', lines 294:4-294:52 -/ -def hashmap.HashMap.remove_back (T : Type) (self : hashmap.HashMap T) (key : Usize) : - Result (hashmap.HashMap T) + Result ((Option T) × (hashmap.HashMap T)) := do - let hash ← hashmap.hash_key key - let i := alloc.vec.Vec.len (hashmap.List T) self.slots - let hash_mod ← hash % i - let l ← - alloc.vec.Vec.index_mut (hashmap.List T) Usize - (core.slice.index.SliceIndexUsizeSliceTInst (hashmap.List T)) - self.slots hash_mod - let x ← hashmap.HashMap.remove_from_list T key l - match x with - | none => - do - let l0 ← hashmap.HashMap.remove_from_list_back T key l - let v ← - alloc.vec.Vec.index_mut_back (hashmap.List T) Usize - (core.slice.index.SliceIndexUsizeSliceTInst (hashmap.List T)) - self.slots hash_mod l0 - Result.ret { self with slots := v } - | some x0 => - do - let i0 ← self.num_entries - 1#usize - let l0 ← hashmap.HashMap.remove_from_list_back T key l - let v ← - alloc.vec.Vec.index_mut_back (hashmap.List T) Usize - (core.slice.index.SliceIndexUsizeSliceTInst (hashmap.List T)) - self.slots hash_mod l0 - Result.ret { self with num_entries := i0, slots := v } - -/- [hashmap_main::hashmap::test1]: forward function + let hash ← hashmap.hash_key key + let i := alloc.vec.Vec.len (hashmap.List T) self.slots + let hash_mod ← hash % i + let (l, index_mut_back) ← + alloc.vec.Vec.index_mut (hashmap.List T) Usize + (core.slice.index.SliceIndexUsizeSliceTInst (hashmap.List T)) self.slots + hash_mod + let (x, l1) ← hashmap.HashMap.remove_from_list T key l + match x with + | none => + do + let v ← index_mut_back l1 + Result.ret (none, { self with slots := v }) + | some x1 => + do + let i1 ← self.num_entries - 1#usize + let v ← index_mut_back l1 + Result.ret (some x1, { self with num_entries := i1, slots := v }) + +/- [hashmap_main::hashmap::test1]: Source: 'src/hashmap.rs', lines 315:0-315:10 -/ def hashmap.test1 : Result Unit := do - let hm ← hashmap.HashMap.new U64 - let hm0 ← hashmap.HashMap.insert U64 hm 0#usize 42#u64 - let hm1 ← hashmap.HashMap.insert U64 hm0 128#usize 18#u64 - let hm2 ← hashmap.HashMap.insert U64 hm1 1024#usize 138#u64 - let hm3 ← hashmap.HashMap.insert U64 hm2 1056#usize 256#u64 - let i ← hashmap.HashMap.get U64 hm3 128#usize - if not (i = 18#u64) + let hm ← hashmap.HashMap.new U64 + let hm1 ← hashmap.HashMap.insert U64 hm 0#usize 42#u64 + let hm2 ← hashmap.HashMap.insert U64 hm1 128#usize 18#u64 + let hm3 ← hashmap.HashMap.insert U64 hm2 1024#usize 138#u64 + let hm4 ← hashmap.HashMap.insert U64 hm3 1056#usize 256#u64 + let i ← hashmap.HashMap.get U64 hm4 128#usize + if not (i = 18#u64) + then Result.fail .panic + else + do + let (_, get_mut_back) ← hashmap.HashMap.get_mut U64 hm4 1024#usize + let hm5 ← get_mut_back 56#u64 + let i1 ← hashmap.HashMap.get U64 hm5 1024#usize + if not (i1 = 56#u64) then Result.fail .panic else do - let hm4 ← hashmap.HashMap.get_mut_back U64 hm3 1024#usize 56#u64 - let i0 ← hashmap.HashMap.get U64 hm4 1024#usize - if not (i0 = 56#u64) + let (x, hm6) ← hashmap.HashMap.remove U64 hm5 1024#usize + match x with + | none => Result.fail .panic + | some x1 => + if not (x1 = 56#u64) then Result.fail .panic else do - let x ← hashmap.HashMap.remove U64 hm4 1024#usize - match x with - | none => Result.fail .panic - | some x0 => - if not (x0 = 56#u64) + let i2 ← hashmap.HashMap.get U64 hm6 0#usize + if not (i2 = 42#u64) + then Result.fail .panic + else + do + let i3 ← hashmap.HashMap.get U64 hm6 128#usize + if not (i3 = 18#u64) + then Result.fail .panic + else + do + let i4 ← hashmap.HashMap.get U64 hm6 1056#usize + if not (i4 = 256#u64) then Result.fail .panic - else - do - let hm5 ← hashmap.HashMap.remove_back U64 hm4 1024#usize - let i1 ← hashmap.HashMap.get U64 hm5 0#usize - if not (i1 = 42#u64) - then Result.fail .panic - else - do - let i2 ← hashmap.HashMap.get U64 hm5 128#usize - if not (i2 = 18#u64) - then Result.fail .panic - else - do - let i3 ← hashmap.HashMap.get U64 hm5 1056#usize - if not (i3 = 256#u64) - then Result.fail .panic - else Result.ret () - -/- [hashmap_main::insert_on_disk]: forward function + else Result.ret () + +/- [hashmap_main::insert_on_disk]: Source: 'src/hashmap_main.rs', lines 7:0-7:43 -/ def insert_on_disk (key : Usize) (value : U64) (st : State) : Result (State × Unit) := do - let (st0, hm) ← hashmap_utils.deserialize st - let hm0 ← hashmap.HashMap.insert U64 hm key value - let (st1, _) ← hashmap_utils.serialize hm0 st0 - Result.ret (st1, ()) + let (st1, hm) ← hashmap_utils.deserialize st + let hm1 ← hashmap.HashMap.insert U64 hm key value + let (st2, _) ← hashmap_utils.serialize hm1 st1 + Result.ret (st2, ()) -/- [hashmap_main::main]: forward function +/- [hashmap_main::main]: Source: 'src/hashmap_main.rs', lines 16:0-16:13 -/ def main : Result Unit := Result.ret () diff --git a/tests/lean/HashmapMain/FunsExternal_Template.lean b/tests/lean/HashmapMain/FunsExternal_Template.lean index 02ca5b0e..c09edbd2 100644 --- a/tests/lean/HashmapMain/FunsExternal_Template.lean +++ b/tests/lean/HashmapMain/FunsExternal_Template.lean @@ -6,12 +6,12 @@ import HashmapMain.Types open Primitives open hashmap_main -/- [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 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 U64 → State → Result (State × Unit) diff --git a/tests/lean/Loops.lean b/tests/lean/Loops.lean index 08aa08a5..fbb4616f 100644 --- a/tests/lean/Loops.lean +++ b/tests/lean/Loops.lean @@ -5,73 +5,72 @@ open Primitives namespace loops -/- [loops::sum]: loop 0: forward function +/- [loops::sum]: loop 0: Source: 'src/loops.rs', lines 4:0-14:1 -/ divergent def sum_loop (max : U32) (i : U32) (s : U32) : Result U32 := if i < max then do - let s0 ← s + i - let i0 ← i + 1#u32 - sum_loop max i0 s0 + let s1 ← s + i + let i1 ← i + 1#u32 + sum_loop max i1 s1 else s * 2#u32 -/- [loops::sum]: forward function +/- [loops::sum]: Source: 'src/loops.rs', lines 4:0-4:27 -/ def sum (max : U32) : Result U32 := sum_loop 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 -/ divergent def sum_with_mut_borrows_loop (max : U32) (mi : U32) (ms : U32) : Result U32 := if mi < max then do - let ms0 ← ms + mi - let mi0 ← mi + 1#u32 - sum_with_mut_borrows_loop max mi0 ms0 + let ms1 ← ms + mi + let mi1 ← mi + 1#u32 + sum_with_mut_borrows_loop max mi1 ms1 else ms * 2#u32 -/- [loops::sum_with_mut_borrows]: forward function +/- [loops::sum_with_mut_borrows]: Source: 'src/loops.rs', lines 19:0-19:44 -/ def sum_with_mut_borrows (max : U32) : Result U32 := sum_with_mut_borrows_loop 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 -/ divergent def sum_with_shared_borrows_loop (max : U32) (i : U32) (s : U32) : Result U32 := if i < max then do - let i0 ← i + 1#u32 - let s0 ← s + i0 - sum_with_shared_borrows_loop max i0 s0 + let i1 ← i + 1#u32 + let s1 ← s + i1 + sum_with_shared_borrows_loop max i1 s1 else s * 2#u32 -/- [loops::sum_with_shared_borrows]: forward function +/- [loops::sum_with_shared_borrows]: Source: 'src/loops.rs', lines 34:0-34:47 -/ def sum_with_shared_borrows (max : U32) : Result U32 := sum_with_shared_borrows_loop 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 -/ divergent def clear_loop (v : alloc.vec.Vec U32) (i : Usize) : Result (alloc.vec.Vec U32) := - let i0 := alloc.vec.Vec.len U32 v - if i < i0 + let i1 := alloc.vec.Vec.len U32 v + if i < i1 then do - let i1 ← i + 1#usize - let v0 ← - alloc.vec.Vec.index_mut_back U32 Usize - (core.slice.index.SliceIndexUsizeSliceTInst U32) v i 0#u32 - clear_loop v0 i1 + let (_, index_mut_back) ← + alloc.vec.Vec.index_mut U32 Usize + (core.slice.index.SliceIndexUsizeSliceTInst U32) v i + let i2 ← i + 1#usize + let v1 ← index_mut_back 0#u32 + clear_loop v1 i2 else Result.ret v -/- [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 -/ def clear (v : alloc.vec.Vec U32) : Result (alloc.vec.Vec U32) := clear_loop v 0#usize @@ -82,7 +81,7 @@ inductive List (T : Type) := | Cons : T → List T → List T | Nil : List T -/- [loops::list_mem]: loop 0: forward function +/- [loops::list_mem]: loop 0: Source: 'src/loops.rs', lines 66:0-75:1 -/ divergent def list_mem_loop (x : U32) (ls : List U32) : Result Bool := match ls with @@ -91,51 +90,41 @@ divergent def list_mem_loop (x : U32) (ls : List U32) : Result Bool := else list_mem_loop x tl | List.Nil => Result.ret false -/- [loops::list_mem]: forward function +/- [loops::list_mem]: Source: 'src/loops.rs', lines 66:0-66:52 -/ def list_mem (x : U32) (ls : List U32) : Result Bool := list_mem_loop 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 -/ divergent def list_nth_mut_loop_loop - (T : Type) (ls : List T) (i : U32) : Result T := - match ls with - | List.Cons x tl => - if i = 0#u32 - then Result.ret x - else do - let i0 ← i - 1#u32 - list_nth_mut_loop_loop T tl i0 - | List.Nil => Result.fail .panic - -/- [loops::list_nth_mut_loop]: forward function - Source: 'src/loops.rs', lines 78:0-78:71 -/ -def list_nth_mut_loop (T : Type) (ls : List T) (i : U32) : Result T := - list_nth_mut_loop_loop T ls i - -/- [loops::list_nth_mut_loop]: loop 0: backward function 0 - Source: 'src/loops.rs', lines 78:0-88:1 -/ -divergent def list_nth_mut_loop_loop_back - (T : Type) (ls : List T) (i : U32) (ret : T) : Result (List T) := + (T : Type) (ls : List T) (i : U32) : Result (T × (T → Result (List T))) := match ls with | List.Cons x tl => if i = 0#u32 - then Result.ret (List.Cons ret tl) + then + let back := fun ret => Result.ret (List.Cons ret tl) + Result.ret (x, back) else do - let i0 ← i - 1#u32 - let tl0 ← list_nth_mut_loop_loop_back T tl i0 ret - Result.ret (List.Cons x tl0) + let i1 ← i - 1#u32 + let (t, back) ← list_nth_mut_loop_loop T tl i1 + let back1 := + fun ret => do + let tl1 ← back ret + Result.ret (List.Cons x tl1) + Result.ret (t, back1) | List.Nil => Result.fail .panic -/- [loops::list_nth_mut_loop]: backward function 0 +/- [loops::list_nth_mut_loop]: Source: 'src/loops.rs', lines 78:0-78:71 -/ -def list_nth_mut_loop_back - (T : Type) (ls : List T) (i : U32) (ret : T) : Result (List T) := - list_nth_mut_loop_loop_back T ls i ret +def list_nth_mut_loop + (T : Type) (ls : List T) (i : U32) : Result (T × (T → Result (List T))) := + do + let (t, back) ← list_nth_mut_loop_loop T ls i + Result.ret (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 -/ divergent def list_nth_shared_loop_loop (T : Type) (ls : List T) (i : U32) : Result T := @@ -144,64 +133,54 @@ divergent def list_nth_shared_loop_loop if i = 0#u32 then Result.ret x else do - let i0 ← i - 1#u32 - list_nth_shared_loop_loop T tl i0 + let i1 ← i - 1#u32 + list_nth_shared_loop_loop T tl i1 | List.Nil => Result.fail .panic -/- [loops::list_nth_shared_loop]: forward function +/- [loops::list_nth_shared_loop]: Source: 'src/loops.rs', lines 91:0-91:66 -/ def list_nth_shared_loop (T : Type) (ls : List T) (i : U32) : Result T := list_nth_shared_loop_loop T 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 -/ -divergent def get_elem_mut_loop (x : Usize) (ls : List Usize) : Result Usize := - match ls with - | List.Cons y tl => if y = x - then Result.ret y - else get_elem_mut_loop x tl - | List.Nil => Result.fail .panic - -/- [loops::get_elem_mut]: forward function - Source: 'src/loops.rs', lines 103:0-103:73 -/ -def get_elem_mut - (slots : alloc.vec.Vec (List Usize)) (x : Usize) : Result Usize := - do - let l ← - alloc.vec.Vec.index_mut (List Usize) Usize - (core.slice.index.SliceIndexUsizeSliceTInst (List Usize)) slots 0#usize - get_elem_mut_loop x l - -/- [loops::get_elem_mut]: loop 0: backward function 0 - Source: 'src/loops.rs', lines 103:0-117:1 -/ -divergent def get_elem_mut_loop_back - (x : Usize) (ls : List Usize) (ret : Usize) : Result (List Usize) := +divergent def get_elem_mut_loop + (x : Usize) (ls : List Usize) : + Result (Usize × (Usize → Result (List Usize))) + := match ls with | List.Cons y tl => if y = x - then Result.ret (List.Cons ret tl) + then + let back := fun ret => Result.ret (List.Cons ret tl) + Result.ret (y, back) else do - let tl0 ← get_elem_mut_loop_back x tl ret - Result.ret (List.Cons y tl0) + let (i, back) ← get_elem_mut_loop x tl + let back1 := + fun ret => do + let tl1 ← back ret + Result.ret (List.Cons y tl1) + Result.ret (i, back1) | List.Nil => Result.fail .panic -/- [loops::get_elem_mut]: backward function 0 +/- [loops::get_elem_mut]: Source: 'src/loops.rs', lines 103:0-103:73 -/ -def get_elem_mut_back - (slots : alloc.vec.Vec (List Usize)) (x : Usize) (ret : Usize) : - Result (alloc.vec.Vec (List Usize)) +def get_elem_mut + (slots : alloc.vec.Vec (List Usize)) (x : Usize) : + Result (Usize × (Usize → Result (alloc.vec.Vec (List Usize)))) := do - let l ← - alloc.vec.Vec.index_mut (List Usize) Usize - (core.slice.index.SliceIndexUsizeSliceTInst (List Usize)) slots 0#usize - let l0 ← get_elem_mut_loop_back x l ret - alloc.vec.Vec.index_mut_back (List Usize) Usize + let (l, index_mut_back) ← + alloc.vec.Vec.index_mut (List Usize) Usize (core.slice.index.SliceIndexUsizeSliceTInst (List Usize)) slots 0#usize - l0 + let (i, back) ← get_elem_mut_loop x l + let back1 := fun ret => do + let l1 ← back ret + index_mut_back l1 + Result.ret (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 -/ divergent def get_elem_shared_loop (x : Usize) (ls : List Usize) : Result Usize := @@ -211,76 +190,63 @@ divergent def get_elem_shared_loop else get_elem_shared_loop x tl | List.Nil => Result.fail .panic -/- [loops::get_elem_shared]: forward function +/- [loops::get_elem_shared]: Source: 'src/loops.rs', lines 119:0-119:68 -/ def get_elem_shared (slots : alloc.vec.Vec (List Usize)) (x : Usize) : Result Usize := do - let l ← - alloc.vec.Vec.index (List Usize) Usize - (core.slice.index.SliceIndexUsizeSliceTInst (List Usize)) slots 0#usize - get_elem_shared_loop x l - -/- [loops::id_mut]: forward function - Source: 'src/loops.rs', lines 135:0-135:50 -/ -def id_mut (T : Type) (ls : List T) : Result (List T) := - Result.ret ls + let l ← + alloc.vec.Vec.index (List Usize) Usize + (core.slice.index.SliceIndexUsizeSliceTInst (List Usize)) slots 0#usize + get_elem_shared_loop x l -/- [loops::id_mut]: backward function 0 +/- [loops::id_mut]: Source: 'src/loops.rs', lines 135:0-135:50 -/ -def id_mut_back (T : Type) (ls : List T) (ret : List T) : Result (List T) := - Result.ret ret +def id_mut + (T : Type) (ls : List T) : + Result ((List T) × (List T → Result (List T))) + := + Result.ret (ls, Result.ret) -/- [loops::id_shared]: forward function +/- [loops::id_shared]: Source: 'src/loops.rs', lines 139:0-139:45 -/ def id_shared (T : Type) (ls : List T) : Result (List T) := Result.ret 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 -/ divergent def list_nth_mut_loop_with_id_loop - (T : Type) (i : U32) (ls : List T) : Result T := + (T : Type) (i : U32) (ls : List T) : Result (T × (T → Result (List T))) := match ls with | List.Cons x tl => if i = 0#u32 - then Result.ret x - else do - let i0 ← i - 1#u32 - list_nth_mut_loop_with_id_loop T i0 tl - | List.Nil => Result.fail .panic - -/- [loops::list_nth_mut_loop_with_id]: forward function - Source: 'src/loops.rs', lines 144:0-144:75 -/ -def list_nth_mut_loop_with_id (T : Type) (ls : List T) (i : U32) : Result T := - do - let ls0 ← id_mut T ls - list_nth_mut_loop_with_id_loop T i ls0 - -/- [loops::list_nth_mut_loop_with_id]: loop 0: backward function 0 - Source: 'src/loops.rs', lines 144:0-155:1 -/ -divergent def list_nth_mut_loop_with_id_loop_back - (T : Type) (i : U32) (ls : List T) (ret : T) : Result (List T) := - match ls with - | List.Cons x tl => - if i = 0#u32 - then Result.ret (List.Cons ret tl) + then + let back := fun ret => Result.ret (List.Cons ret tl) + Result.ret (x, back) else do - let i0 ← i - 1#u32 - let tl0 ← list_nth_mut_loop_with_id_loop_back T i0 tl ret - Result.ret (List.Cons x tl0) + let i1 ← i - 1#u32 + let (t, back) ← list_nth_mut_loop_with_id_loop T i1 tl + let back1 := + fun ret => do + let tl1 ← back ret + Result.ret (List.Cons x tl1) + Result.ret (t, back1) | List.Nil => Result.fail .panic -/- [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 -/ -def list_nth_mut_loop_with_id_back - (T : Type) (ls : List T) (i : U32) (ret : T) : Result (List T) := +def list_nth_mut_loop_with_id + (T : Type) (ls : List T) (i : U32) : Result (T × (T → Result (List T))) := do - let ls0 ← id_mut T ls - let l ← list_nth_mut_loop_with_id_loop_back T i ls0 ret - id_mut_back T ls l - -/- [loops::list_nth_shared_loop_with_id]: loop 0: forward function + let (ls1, id_mut_back) ← id_mut T ls + let (t, back) ← list_nth_mut_loop_with_id_loop T i ls1 + let back1 := fun ret => do + let l ← back ret + id_mut_back l + Result.ret (t, back1) + +/- [loops::list_nth_shared_loop_with_id]: loop 0: Source: 'src/loops.rs', lines 158:0-169:1 -/ divergent def list_nth_shared_loop_with_id_loop (T : Type) (i : U32) (ls : List T) : Result T := @@ -289,97 +255,60 @@ divergent def list_nth_shared_loop_with_id_loop if i = 0#u32 then Result.ret x else do - let i0 ← i - 1#u32 - list_nth_shared_loop_with_id_loop T i0 tl + let i1 ← i - 1#u32 + list_nth_shared_loop_with_id_loop T i1 tl | List.Nil => Result.fail .panic -/- [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 -/ def list_nth_shared_loop_with_id (T : Type) (ls : List T) (i : U32) : Result T := do - let ls0 ← id_shared T ls - list_nth_shared_loop_with_id_loop T i ls0 + let ls1 ← id_shared T ls + list_nth_shared_loop_with_id_loop T 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 -/ divergent def list_nth_mut_loop_pair_loop - (T : Type) (ls0 : List T) (ls1 : List T) (i : U32) : Result (T × T) := - match ls0 with - | List.Cons x0 tl0 => - match ls1 with - | List.Cons x1 tl1 => - if i = 0#u32 - then Result.ret (x0, x1) - else do - let i0 ← i - 1#u32 - list_nth_mut_loop_pair_loop T tl0 tl1 i0 - | List.Nil => Result.fail .panic - | List.Nil => Result.fail .panic - -/- [loops::list_nth_mut_loop_pair]: forward function - Source: 'src/loops.rs', lines 174:0-178:27 -/ -def list_nth_mut_loop_pair - (T : Type) (ls0 : List T) (ls1 : List T) (i : U32) : Result (T × T) := - list_nth_mut_loop_pair_loop T ls0 ls1 i - -/- [loops::list_nth_mut_loop_pair]: loop 0: backward function 0 - Source: 'src/loops.rs', lines 174:0-195:1 -/ -divergent def list_nth_mut_loop_pair_loop_back'a - (T : Type) (ls0 : List T) (ls1 : List T) (i : U32) (ret : T) : - Result (List T) + (T : Type) (ls0 : List T) (ls1 : List T) (i : U32) : + Result ((T × T) × (T → Result (List T)) × (T → Result (List T))) := match ls0 with | List.Cons x0 tl0 => match ls1 with | List.Cons x1 tl1 => if i = 0#u32 - then Result.ret (List.Cons ret tl0) + then + let back_'a := fun ret => Result.ret (List.Cons ret tl0) + let back_'b := fun ret => Result.ret (List.Cons ret tl1) + Result.ret ((x0, x1), back_'a, back_'b) else do - let i0 ← i - 1#u32 - let tl00 ← list_nth_mut_loop_pair_loop_back'a T tl0 tl1 i0 ret - Result.ret (List.Cons x0 tl00) + let i1 ← i - 1#u32 + let (p, back_'a, back_'b) ← list_nth_mut_loop_pair_loop T tl0 tl1 i1 + let back_'a1 := + fun ret => do + let tl01 ← back_'a ret + Result.ret (List.Cons x0 tl01) + let back_'b1 := + fun ret => do + let tl11 ← back_'b ret + Result.ret (List.Cons x1 tl11) + Result.ret (p, back_'a1, back_'b1) | List.Nil => Result.fail .panic | List.Nil => Result.fail .panic -/- [loops::list_nth_mut_loop_pair]: backward function 0 +/- [loops::list_nth_mut_loop_pair]: Source: 'src/loops.rs', lines 174:0-178:27 -/ -def list_nth_mut_loop_pair_back'a - (T : Type) (ls0 : List T) (ls1 : List T) (i : U32) (ret : T) : - Result (List T) - := - list_nth_mut_loop_pair_loop_back'a T ls0 ls1 i ret - -/- [loops::list_nth_mut_loop_pair]: loop 0: backward function 1 - Source: 'src/loops.rs', lines 174:0-195:1 -/ -divergent def list_nth_mut_loop_pair_loop_back'b - (T : Type) (ls0 : List T) (ls1 : List T) (i : U32) (ret : T) : - Result (List T) - := - match ls0 with - | List.Cons x0 tl0 => - match ls1 with - | List.Cons x1 tl1 => - if i = 0#u32 - then Result.ret (List.Cons ret tl1) - else - do - let i0 ← i - 1#u32 - let tl10 ← list_nth_mut_loop_pair_loop_back'b T tl0 tl1 i0 ret - Result.ret (List.Cons x1 tl10) - | List.Nil => Result.fail .panic - | List.Nil => Result.fail .panic - -/- [loops::list_nth_mut_loop_pair]: backward function 1 - Source: 'src/loops.rs', lines 174:0-178:27 -/ -def list_nth_mut_loop_pair_back'b - (T : Type) (ls0 : List T) (ls1 : List T) (i : U32) (ret : T) : - Result (List T) +def list_nth_mut_loop_pair + (T : Type) (ls0 : List T) (ls1 : List T) (i : U32) : + Result ((T × T) × (T → Result (List T)) × (T → Result (List T))) := - list_nth_mut_loop_pair_loop_back'b T ls0 ls1 i ret + do + let (p, back_'a, back_'b) ← list_nth_mut_loop_pair_loop T ls0 ls1 i + Result.ret (p, back_'a, back_'b) -/- [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 -/ divergent def list_nth_shared_loop_pair_loop (T : Type) (ls0 : List T) (ls1 : List T) (i : U32) : Result (T × T) := @@ -390,71 +319,58 @@ divergent def list_nth_shared_loop_pair_loop if i = 0#u32 then Result.ret (x0, x1) else do - let i0 ← i - 1#u32 - list_nth_shared_loop_pair_loop T tl0 tl1 i0 + let i1 ← i - 1#u32 + list_nth_shared_loop_pair_loop T tl0 tl1 i1 | List.Nil => Result.fail .panic | List.Nil => Result.fail .panic -/- [loops::list_nth_shared_loop_pair]: forward function +/- [loops::list_nth_shared_loop_pair]: Source: 'src/loops.rs', lines 198:0-202:19 -/ def list_nth_shared_loop_pair (T : Type) (ls0 : List T) (ls1 : List T) (i : U32) : Result (T × T) := list_nth_shared_loop_pair_loop T 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 -/ divergent def list_nth_mut_loop_pair_merge_loop - (T : Type) (ls0 : List T) (ls1 : List T) (i : U32) : Result (T × T) := - match ls0 with - | List.Cons x0 tl0 => - match ls1 with - | List.Cons x1 tl1 => - if i = 0#u32 - then Result.ret (x0, x1) - else - do - let i0 ← i - 1#u32 - list_nth_mut_loop_pair_merge_loop T tl0 tl1 i0 - | List.Nil => Result.fail .panic - | List.Nil => Result.fail .panic - -/- [loops::list_nth_mut_loop_pair_merge]: forward function - Source: 'src/loops.rs', lines 223:0-227:27 -/ -def list_nth_mut_loop_pair_merge - (T : Type) (ls0 : List T) (ls1 : List T) (i : U32) : Result (T × T) := - list_nth_mut_loop_pair_merge_loop T ls0 ls1 i - -/- [loops::list_nth_mut_loop_pair_merge]: loop 0: backward function 0 - Source: 'src/loops.rs', lines 223:0-238:1 -/ -divergent def list_nth_mut_loop_pair_merge_loop_back - (T : Type) (ls0 : List T) (ls1 : List T) (i : U32) (ret : (T × T)) : - Result ((List T) × (List T)) + (T : Type) (ls0 : List T) (ls1 : List T) (i : U32) : + Result ((T × T) × ((T × T) → Result ((List T) × (List T)))) := match ls0 with | List.Cons x0 tl0 => match ls1 with | List.Cons x1 tl1 => if i = 0#u32 - then let (t, t0) := ret - Result.ret (List.Cons t tl0, List.Cons t0 tl1) + then + let back_'a := + fun ret => + let (t, t1) := ret + Result.ret (List.Cons t tl0, List.Cons t1 tl1) + Result.ret ((x0, x1), back_'a) else do - let i0 ← i - 1#u32 - let (tl00, tl10) ← - list_nth_mut_loop_pair_merge_loop_back T tl0 tl1 i0 ret - Result.ret (List.Cons x0 tl00, List.Cons x1 tl10) + let i1 ← i - 1#u32 + let (p, back_'a) ← list_nth_mut_loop_pair_merge_loop T tl0 tl1 i1 + let back_'a1 := + fun ret => + do + let (tl01, tl11) ← back_'a ret + Result.ret (List.Cons x0 tl01, List.Cons x1 tl11) + Result.ret (p, back_'a1) | List.Nil => Result.fail .panic | List.Nil => Result.fail .panic -/- [loops::list_nth_mut_loop_pair_merge]: backward function 0 +/- [loops::list_nth_mut_loop_pair_merge]: Source: 'src/loops.rs', lines 223:0-227:27 -/ -def list_nth_mut_loop_pair_merge_back - (T : Type) (ls0 : List T) (ls1 : List T) (i : U32) (ret : (T × T)) : - Result ((List T) × (List T)) +def list_nth_mut_loop_pair_merge + (T : Type) (ls0 : List T) (ls1 : List T) (i : U32) : + Result ((T × T) × ((T × T) → Result ((List T) × (List T)))) := - list_nth_mut_loop_pair_merge_loop_back T ls0 ls1 i ret + do + let (p, back_'a) ← list_nth_mut_loop_pair_merge_loop T ls0 ls1 i + Result.ret (p, back_'a) -/- [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 -/ divergent def list_nth_shared_loop_pair_merge_loop (T : Type) (ls0 : List T) (ls1 : List T) (i : U32) : Result (T × T) := @@ -466,221 +382,161 @@ divergent def list_nth_shared_loop_pair_merge_loop then Result.ret (x0, x1) else do - let i0 ← i - 1#u32 - list_nth_shared_loop_pair_merge_loop T tl0 tl1 i0 + let i1 ← i - 1#u32 + list_nth_shared_loop_pair_merge_loop T tl0 tl1 i1 | List.Nil => Result.fail .panic | List.Nil => Result.fail .panic -/- [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 -/ def list_nth_shared_loop_pair_merge (T : Type) (ls0 : List T) (ls1 : List T) (i : U32) : Result (T × T) := list_nth_shared_loop_pair_merge_loop T 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 -/ divergent def list_nth_mut_shared_loop_pair_loop - (T : Type) (ls0 : List T) (ls1 : List T) (i : U32) : Result (T × T) := - match ls0 with - | List.Cons x0 tl0 => - match ls1 with - | List.Cons x1 tl1 => - if i = 0#u32 - then Result.ret (x0, x1) - else - do - let i0 ← i - 1#u32 - list_nth_mut_shared_loop_pair_loop T tl0 tl1 i0 - | List.Nil => Result.fail .panic - | List.Nil => Result.fail .panic - -/- [loops::list_nth_mut_shared_loop_pair]: forward function - Source: 'src/loops.rs', lines 259:0-263:23 -/ -def list_nth_mut_shared_loop_pair - (T : Type) (ls0 : List T) (ls1 : List T) (i : U32) : Result (T × T) := - list_nth_mut_shared_loop_pair_loop T ls0 ls1 i - -/- [loops::list_nth_mut_shared_loop_pair]: loop 0: backward function 0 - Source: 'src/loops.rs', lines 259:0-274:1 -/ -divergent def list_nth_mut_shared_loop_pair_loop_back - (T : Type) (ls0 : List T) (ls1 : List T) (i : U32) (ret : T) : - Result (List T) + (T : Type) (ls0 : List T) (ls1 : List T) (i : U32) : + Result ((T × T) × (T → Result (List T))) := match ls0 with | List.Cons x0 tl0 => match ls1 with | List.Cons x1 tl1 => if i = 0#u32 - then Result.ret (List.Cons ret tl0) + then + let back_'a := fun ret => Result.ret (List.Cons ret tl0) + Result.ret ((x0, x1), back_'a) else do - let i0 ← i - 1#u32 - let tl00 ← list_nth_mut_shared_loop_pair_loop_back T tl0 tl1 i0 ret - Result.ret (List.Cons x0 tl00) + let i1 ← i - 1#u32 + let (p, back_'a) ← list_nth_mut_shared_loop_pair_loop T tl0 tl1 i1 + let back_'a1 := + fun ret => do + let tl01 ← back_'a ret + Result.ret (List.Cons x0 tl01) + Result.ret (p, back_'a1) | List.Nil => Result.fail .panic | List.Nil => Result.fail .panic -/- [loops::list_nth_mut_shared_loop_pair]: backward function 0 +/- [loops::list_nth_mut_shared_loop_pair]: Source: 'src/loops.rs', lines 259:0-263:23 -/ -def list_nth_mut_shared_loop_pair_back - (T : Type) (ls0 : List T) (ls1 : List T) (i : U32) (ret : T) : - Result (List T) +def list_nth_mut_shared_loop_pair + (T : Type) (ls0 : List T) (ls1 : List T) (i : U32) : + Result ((T × T) × (T → Result (List T))) := - list_nth_mut_shared_loop_pair_loop_back T ls0 ls1 i ret + do + let (p, back_'a) ← list_nth_mut_shared_loop_pair_loop T ls0 ls1 i + Result.ret (p, back_'a) -/- [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 -/ divergent def list_nth_mut_shared_loop_pair_merge_loop - (T : Type) (ls0 : List T) (ls1 : List T) (i : U32) : Result (T × T) := - match ls0 with - | List.Cons x0 tl0 => - match ls1 with - | List.Cons x1 tl1 => - if i = 0#u32 - then Result.ret (x0, x1) - else - do - let i0 ← i - 1#u32 - list_nth_mut_shared_loop_pair_merge_loop T tl0 tl1 i0 - | List.Nil => Result.fail .panic - | List.Nil => Result.fail .panic - -/- [loops::list_nth_mut_shared_loop_pair_merge]: forward function - Source: 'src/loops.rs', lines 278:0-282:23 -/ -def list_nth_mut_shared_loop_pair_merge - (T : Type) (ls0 : List T) (ls1 : List T) (i : U32) : Result (T × T) := - list_nth_mut_shared_loop_pair_merge_loop T 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 -/ -divergent def list_nth_mut_shared_loop_pair_merge_loop_back - (T : Type) (ls0 : List T) (ls1 : List T) (i : U32) (ret : T) : - Result (List T) + (T : Type) (ls0 : List T) (ls1 : List T) (i : U32) : + Result ((T × T) × (T → Result (List T))) := match ls0 with | List.Cons x0 tl0 => match ls1 with | List.Cons x1 tl1 => if i = 0#u32 - then Result.ret (List.Cons ret tl0) + then + let back_'a := fun ret => Result.ret (List.Cons ret tl0) + Result.ret ((x0, x1), back_'a) else do - let i0 ← i - 1#u32 - let tl00 ← - list_nth_mut_shared_loop_pair_merge_loop_back T tl0 tl1 i0 ret - Result.ret (List.Cons x0 tl00) + let i1 ← i - 1#u32 + let (p, back_'a) ← + list_nth_mut_shared_loop_pair_merge_loop T tl0 tl1 i1 + let back_'a1 := + fun ret => do + let tl01 ← back_'a ret + Result.ret (List.Cons x0 tl01) + Result.ret (p, back_'a1) | List.Nil => Result.fail .panic | List.Nil => Result.fail .panic -/- [loops::list_nth_mut_shared_loop_pair_merge]: backward function 0 +/- [loops::list_nth_mut_shared_loop_pair_merge]: Source: 'src/loops.rs', lines 278:0-282:23 -/ -def list_nth_mut_shared_loop_pair_merge_back - (T : Type) (ls0 : List T) (ls1 : List T) (i : U32) (ret : T) : - Result (List T) +def list_nth_mut_shared_loop_pair_merge + (T : Type) (ls0 : List T) (ls1 : List T) (i : U32) : + Result ((T × T) × (T → Result (List T))) := - list_nth_mut_shared_loop_pair_merge_loop_back T ls0 ls1 i ret + do + let (p, back_'a) ← list_nth_mut_shared_loop_pair_merge_loop T ls0 ls1 i + Result.ret (p, 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 -/ divergent def list_nth_shared_mut_loop_pair_loop - (T : Type) (ls0 : List T) (ls1 : List T) (i : U32) : Result (T × T) := - match ls0 with - | List.Cons x0 tl0 => - match ls1 with - | List.Cons x1 tl1 => - if i = 0#u32 - then Result.ret (x0, x1) - else - do - let i0 ← i - 1#u32 - list_nth_shared_mut_loop_pair_loop T tl0 tl1 i0 - | List.Nil => Result.fail .panic - | List.Nil => Result.fail .panic - -/- [loops::list_nth_shared_mut_loop_pair]: forward function - Source: 'src/loops.rs', lines 297:0-301:23 -/ -def list_nth_shared_mut_loop_pair - (T : Type) (ls0 : List T) (ls1 : List T) (i : U32) : Result (T × T) := - list_nth_shared_mut_loop_pair_loop T ls0 ls1 i - -/- [loops::list_nth_shared_mut_loop_pair]: loop 0: backward function 1 - Source: 'src/loops.rs', lines 297:0-312:1 -/ -divergent def list_nth_shared_mut_loop_pair_loop_back - (T : Type) (ls0 : List T) (ls1 : List T) (i : U32) (ret : T) : - Result (List T) + (T : Type) (ls0 : List T) (ls1 : List T) (i : U32) : + Result ((T × T) × (T → Result (List T))) := match ls0 with | List.Cons x0 tl0 => match ls1 with | List.Cons x1 tl1 => if i = 0#u32 - then Result.ret (List.Cons ret tl1) + then + let back_'b := fun ret => Result.ret (List.Cons ret tl1) + Result.ret ((x0, x1), back_'b) else do - let i0 ← i - 1#u32 - let tl10 ← list_nth_shared_mut_loop_pair_loop_back T tl0 tl1 i0 ret - Result.ret (List.Cons x1 tl10) + let i1 ← i - 1#u32 + let (p, back_'b) ← list_nth_shared_mut_loop_pair_loop T tl0 tl1 i1 + let back_'b1 := + fun ret => do + let tl11 ← back_'b ret + Result.ret (List.Cons x1 tl11) + Result.ret (p, back_'b1) | List.Nil => Result.fail .panic | List.Nil => Result.fail .panic -/- [loops::list_nth_shared_mut_loop_pair]: backward function 1 +/- [loops::list_nth_shared_mut_loop_pair]: Source: 'src/loops.rs', lines 297:0-301:23 -/ -def list_nth_shared_mut_loop_pair_back - (T : Type) (ls0 : List T) (ls1 : List T) (i : U32) (ret : T) : - Result (List T) +def list_nth_shared_mut_loop_pair + (T : Type) (ls0 : List T) (ls1 : List T) (i : U32) : + Result ((T × T) × (T → Result (List T))) := - list_nth_shared_mut_loop_pair_loop_back T ls0 ls1 i ret + do + let (p, back_'b) ← list_nth_shared_mut_loop_pair_loop T ls0 ls1 i + Result.ret (p, back_'b) -/- [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 -/ divergent def list_nth_shared_mut_loop_pair_merge_loop - (T : Type) (ls0 : List T) (ls1 : List T) (i : U32) : Result (T × T) := - match ls0 with - | List.Cons x0 tl0 => - match ls1 with - | List.Cons x1 tl1 => - if i = 0#u32 - then Result.ret (x0, x1) - else - do - let i0 ← i - 1#u32 - list_nth_shared_mut_loop_pair_merge_loop T tl0 tl1 i0 - | List.Nil => Result.fail .panic - | List.Nil => Result.fail .panic - -/- [loops::list_nth_shared_mut_loop_pair_merge]: forward function - Source: 'src/loops.rs', lines 316:0-320:23 -/ -def list_nth_shared_mut_loop_pair_merge - (T : Type) (ls0 : List T) (ls1 : List T) (i : U32) : Result (T × T) := - list_nth_shared_mut_loop_pair_merge_loop T 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 -/ -divergent def list_nth_shared_mut_loop_pair_merge_loop_back - (T : Type) (ls0 : List T) (ls1 : List T) (i : U32) (ret : T) : - Result (List T) + (T : Type) (ls0 : List T) (ls1 : List T) (i : U32) : + Result ((T × T) × (T → Result (List T))) := match ls0 with | List.Cons x0 tl0 => match ls1 with | List.Cons x1 tl1 => if i = 0#u32 - then Result.ret (List.Cons ret tl1) + then + let back_'a := fun ret => Result.ret (List.Cons ret tl1) + Result.ret ((x0, x1), back_'a) else do - let i0 ← i - 1#u32 - let tl10 ← - list_nth_shared_mut_loop_pair_merge_loop_back T tl0 tl1 i0 ret - Result.ret (List.Cons x1 tl10) + let i1 ← i - 1#u32 + let (p, back_'a) ← + list_nth_shared_mut_loop_pair_merge_loop T tl0 tl1 i1 + let back_'a1 := + fun ret => do + let tl11 ← back_'a ret + Result.ret (List.Cons x1 tl11) + Result.ret (p, back_'a1) | List.Nil => Result.fail .panic | List.Nil => Result.fail .panic -/- [loops::list_nth_shared_mut_loop_pair_merge]: backward function 0 +/- [loops::list_nth_shared_mut_loop_pair_merge]: Source: 'src/loops.rs', lines 316:0-320:23 -/ -def list_nth_shared_mut_loop_pair_merge_back - (T : Type) (ls0 : List T) (ls1 : List T) (i : U32) (ret : T) : - Result (List T) +def list_nth_shared_mut_loop_pair_merge + (T : Type) (ls0 : List T) (ls1 : List T) (i : U32) : + Result ((T × T) × (T → Result (List T))) := - list_nth_shared_mut_loop_pair_merge_loop_back T ls0 ls1 i ret + do + let (p, back_'a) ← list_nth_shared_mut_loop_pair_merge_loop T ls0 ls1 i + Result.ret (p, back_'a) end loops diff --git a/tests/lean/NoNestedBorrows.lean b/tests/lean/NoNestedBorrows.lean index 0bce3a64..0dd29429 100644 --- a/tests/lean/NoNestedBorrows.lean +++ b/tests/lean/NoNestedBorrows.lean @@ -43,98 +43,98 @@ inductive Sum (T1 T2 : Type) := | Left : T1 → Sum T1 T2 | Right : T2 → Sum T1 T2 -/- [no_nested_borrows::neg_test]: forward function +/- [no_nested_borrows::neg_test]: Source: 'src/no_nested_borrows.rs', lines 48:0-48:30 -/ def neg_test (x : I32) : Result I32 := - x -/- [no_nested_borrows::add_u32]: forward function +/- [no_nested_borrows::add_u32]: Source: 'src/no_nested_borrows.rs', lines 54:0-54:37 -/ def add_u32 (x : U32) (y : U32) : Result U32 := 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 -/ def subs_u32 (x : U32) (y : U32) : Result U32 := 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 -/ def div_u32 (x : U32) (y : U32) : Result U32 := 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 -/ def div_u32_const (x : U32) : Result U32 := 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 -/ def rem_u32 (x : U32) (y : U32) : Result U32 := 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 -/ def mul_u32 (x : U32) (y : U32) : Result U32 := 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 -/ def add_i32 (x : I32) (y : I32) : Result I32 := 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 -/ def subs_i32 (x : I32) (y : I32) : Result I32 := 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 -/ def div_i32 (x : I32) (y : I32) : Result I32 := 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 -/ def div_i32_const (x : I32) : Result I32 := 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 -/ def rem_i32 (x : I32) (y : I32) : Result I32 := 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 -/ def mul_i32 (x : I32) (y : I32) : Result I32 := 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 -/ def mix_arith_u32 (x : U32) (y : U32) (z : U32) : Result U32 := do - let i ← x + y - let i0 ← x / y - let i1 ← i * i0 - let i2 ← z % y - let i3 ← x - i2 - let i4 ← i1 + i3 - let i5 ← x + y - let i6 ← i5 + z - i4 % i6 - -/- [no_nested_borrows::mix_arith_i32]: forward function + let i ← x + y + let i1 ← x / y + let i2 ← i * i1 + let i3 ← z % y + let i4 ← x - i3 + let i5 ← i2 + i4 + let i6 ← x + y + let i7 ← i6 + z + i5 % i7 + +/- [no_nested_borrows::mix_arith_i32]: Source: 'src/no_nested_borrows.rs', lines 116:0-116:51 -/ def mix_arith_i32 (x : I32) (y : I32) (z : I32) : Result I32 := do - let i ← x + y - let i0 ← x / y - let i1 ← i * i0 - let i2 ← z % y - let i3 ← x - i2 - let i4 ← i1 + i3 - let i5 ← x + y - let i6 ← i5 + z - i4 % i6 + let i ← x + y + let i1 ← x / y + let i2 ← i * i1 + let i3 ← z % y + let i4 ← x - i3 + let i5 ← i2 + i4 + let i6 ← x + y + let i7 ← i6 + z + i5 % i7 /- [no_nested_borrows::CONST0] Source: 'src/no_nested_borrows.rs', lines 125:0-125:23 -/ @@ -146,65 +146,65 @@ def const0_c : Usize := eval_global const0_body (by simp) def const1_body : Result Usize := 2#usize * 2#usize def const1_c : Usize := eval_global const1_body (by simp) -/- [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 -/ def cast_u32_to_i32 (x : U32) : Result I32 := Scalar.cast .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 -/ def 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 -/ def cast_bool_to_bool (x : Bool) : Result Bool := Result.ret x -/- [no_nested_borrows::test2]: forward function +/- [no_nested_borrows::test2]: Source: 'src/no_nested_borrows.rs', lines 142:0-142:14 -/ def test2 : Result Unit := do - let _ ← 23#u32 + 44#u32 - Result.ret () + let _ ← 23#u32 + 44#u32 + Result.ret () /- Unit test for [no_nested_borrows::test2] -/ #assert (test2 == Result.ret ()) -/- [no_nested_borrows::get_max]: forward function +/- [no_nested_borrows::get_max]: Source: 'src/no_nested_borrows.rs', lines 154:0-154:37 -/ def get_max (x : U32) (y : U32) : Result U32 := if x >= y then Result.ret x else Result.ret y -/- [no_nested_borrows::test3]: forward function +/- [no_nested_borrows::test3]: Source: 'src/no_nested_borrows.rs', lines 162:0-162:14 -/ def test3 : Result Unit := do - let x ← get_max 4#u32 3#u32 - let y ← get_max 10#u32 11#u32 - let z ← x + y - if not (z = 15#u32) - then Result.fail .panic - else Result.ret () + let x ← get_max 4#u32 3#u32 + let y ← get_max 10#u32 11#u32 + let z ← x + y + if not (z = 15#u32) + then Result.fail .panic + else Result.ret () /- Unit test for [no_nested_borrows::test3] -/ #assert (test3 == Result.ret ()) -/- [no_nested_borrows::test_neg1]: forward function +/- [no_nested_borrows::test_neg1]: Source: 'src/no_nested_borrows.rs', lines 169:0-169:18 -/ def test_neg1 : Result Unit := do - let y ← - 3#i32 - if not (y = (-(3:Int))#i32) - then Result.fail .panic - else Result.ret () + let y ← - 3#i32 + if not (y = (-(3:Int))#i32) + then Result.fail .panic + else Result.ret () /- Unit test for [no_nested_borrows::test_neg1] -/ #assert (test_neg1 == Result.ret ()) -/- [no_nested_borrows::refs_test1]: forward function +/- [no_nested_borrows::refs_test1]: Source: 'src/no_nested_borrows.rs', lines 176:0-176:19 -/ def refs_test1 : Result Unit := if not (1#i32 = 1#i32) @@ -214,7 +214,7 @@ def refs_test1 : Result Unit := /- Unit test for [no_nested_borrows::refs_test1] -/ #assert (refs_test1 == Result.ret ()) -/- [no_nested_borrows::refs_test2]: forward function +/- [no_nested_borrows::refs_test2]: Source: 'src/no_nested_borrows.rs', lines 187:0-187:19 -/ def refs_test2 : Result Unit := if not (2#i32 = 2#i32) @@ -232,7 +232,7 @@ def refs_test2 : Result Unit := /- Unit test for [no_nested_borrows::refs_test2] -/ #assert (refs_test2 == Result.ret ()) -/- [no_nested_borrows::test_list1]: forward function +/- [no_nested_borrows::test_list1]: Source: 'src/no_nested_borrows.rs', lines 203:0-203:19 -/ def test_list1 : Result Unit := Result.ret () @@ -240,128 +240,123 @@ def test_list1 : Result Unit := /- Unit test for [no_nested_borrows::test_list1] -/ #assert (test_list1 == Result.ret ()) -/- [no_nested_borrows::test_box1]: forward function +/- [no_nested_borrows::test_box1]: Source: 'src/no_nested_borrows.rs', lines 208:0-208:18 -/ def test_box1 : Result Unit := do - let b := 0#i32 - let b0 ← alloc.boxed.Box.deref_mut_back I32 b 1#i32 - let x ← alloc.boxed.Box.deref I32 b0 - if not (x = 1#i32) - then Result.fail .panic - else Result.ret () + let (_, deref_mut_back) ← alloc.boxed.Box.deref_mut I32 0#i32 + let b ← deref_mut_back 1#i32 + let x ← alloc.boxed.Box.deref I32 b + if not (x = 1#i32) + then Result.fail .panic + else Result.ret () /- Unit test for [no_nested_borrows::test_box1] -/ #assert (test_box1 == Result.ret ()) -/- [no_nested_borrows::copy_int]: forward function +/- [no_nested_borrows::copy_int]: Source: 'src/no_nested_borrows.rs', lines 218:0-218:30 -/ def copy_int (x : I32) : Result I32 := Result.ret x -/- [no_nested_borrows::test_unreachable]: forward function +/- [no_nested_borrows::test_unreachable]: Source: 'src/no_nested_borrows.rs', lines 224:0-224:32 -/ def test_unreachable (b : Bool) : Result Unit := if b then Result.fail .panic else Result.ret () -/- [no_nested_borrows::test_panic]: forward function +/- [no_nested_borrows::test_panic]: Source: 'src/no_nested_borrows.rs', lines 232:0-232:26 -/ def test_panic (b : Bool) : Result Unit := if b then Result.fail .panic else Result.ret () -/- [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 -/ def test_copy_int : Result Unit := do - let y ← copy_int 0#i32 - if not (0#i32 = y) - then Result.fail .panic - else Result.ret () + let y ← copy_int 0#i32 + if not (0#i32 = y) + then Result.fail .panic + else Result.ret () /- Unit test for [no_nested_borrows::test_copy_int] -/ #assert (test_copy_int == Result.ret ()) -/- [no_nested_borrows::is_cons]: forward function +/- [no_nested_borrows::is_cons]: Source: 'src/no_nested_borrows.rs', lines 246:0-246:38 -/ def is_cons (T : Type) (l : List T) : Result Bool := match l with - | List.Cons t l0 => Result.ret true + | List.Cons _ _ => Result.ret true | List.Nil => Result.ret false -/- [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 -/ def test_is_cons : Result Unit := do - let l := List.Nil - let b ← is_cons I32 (List.Cons 0#i32 l) - if not b - then Result.fail .panic - else Result.ret () + let b ← is_cons I32 (List.Cons 0#i32 List.Nil) + if not b + then Result.fail .panic + else Result.ret () /- Unit test for [no_nested_borrows::test_is_cons] -/ #assert (test_is_cons == Result.ret ()) -/- [no_nested_borrows::split_list]: forward function +/- [no_nested_borrows::split_list]: Source: 'src/no_nested_borrows.rs', lines 259:0-259:48 -/ def split_list (T : Type) (l : List T) : Result (T × (List T)) := match l with | List.Cons hd tl => Result.ret (hd, tl) | List.Nil => Result.fail .panic -/- [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 -/ def test_split_list : Result Unit := do - let l := List.Nil - let p ← split_list I32 (List.Cons 0#i32 l) - let (hd, _) := p - if not (hd = 0#i32) - then Result.fail .panic - else Result.ret () + let p ← split_list I32 (List.Cons 0#i32 List.Nil) + let (hd, _) := p + if not (hd = 0#i32) + then Result.fail .panic + else Result.ret () /- Unit test for [no_nested_borrows::test_split_list] -/ #assert (test_split_list == Result.ret ()) -/- [no_nested_borrows::choose]: forward function +/- [no_nested_borrows::choose]: Source: 'src/no_nested_borrows.rs', lines 274:0-274:70 -/ -def choose (T : Type) (b : Bool) (x : T) (y : T) : Result T := +def choose + (T : Type) (b : Bool) (x : T) (y : T) : + Result (T × (T → Result (T × T))) + := if b - then Result.ret x - else Result.ret y + then let back_'a := fun ret => Result.ret (ret, y) + Result.ret (x, back_'a) + else let back_'a := fun ret => Result.ret (x, ret) + Result.ret (y, back_'a) -/- [no_nested_borrows::choose]: backward function 0 - Source: 'src/no_nested_borrows.rs', lines 274:0-274:70 -/ -def choose_back - (T : Type) (b : Bool) (x : T) (y : T) (ret : T) : Result (T × T) := - if b - then Result.ret (ret, y) - else Result.ret (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 -/ def choose_test : Result Unit := do - let z ← choose I32 true 0#i32 0#i32 - let z0 ← z + 1#i32 - if not (z0 = 1#i32) + let (z, choose_back) ← choose I32 true 0#i32 0#i32 + let z1 ← z + 1#i32 + if not (z1 = 1#i32) + then Result.fail .panic + else + do + let (x, y) ← choose_back z1 + if not (x = 1#i32) then Result.fail .panic - else - do - let (x, y) ← choose_back I32 true 0#i32 0#i32 z0 - if not (x = 1#i32) - then Result.fail .panic - else if not (y = 0#i32) - then Result.fail .panic - else Result.ret () + else if not (y = 0#i32) + then Result.fail .panic + else Result.ret () /- Unit test for [no_nested_borrows::choose_test] -/ #assert (choose_test == Result.ret ()) -/- [no_nested_borrows::test_char]: forward function +/- [no_nested_borrows::test_char]: Source: 'src/no_nested_borrows.rs', lines 294:0-294:26 -/ def test_char : Result Char := Result.ret 'a' @@ -382,16 +377,16 @@ inductive NodeElem (T : Type) := end -/- [no_nested_borrows::list_length]: forward function +/- [no_nested_borrows::list_length]: Source: 'src/no_nested_borrows.rs', lines 339:0-339:48 -/ divergent def list_length (T : Type) (l : List T) : Result U32 := match l with - | List.Cons t l1 => do - let i ← list_length T l1 - 1#u32 + i + | List.Cons _ l1 => do + let i ← list_length T l1 + 1#u32 + i | List.Nil => Result.ret 0#u32 -/- [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 -/ divergent def list_nth_shared (T : Type) (l : List T) (i : U32) : Result T := match l with @@ -399,38 +394,33 @@ divergent def list_nth_shared (T : Type) (l : List T) (i : U32) : Result T := if i = 0#u32 then Result.ret x else do - let i0 ← i - 1#u32 - list_nth_shared T tl i0 + let i1 ← i - 1#u32 + list_nth_shared T tl i1 | List.Nil => Result.fail .panic -/- [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 -/ -divergent def list_nth_mut (T : Type) (l : List T) (i : U32) : Result T := +divergent def list_nth_mut + (T : Type) (l : List T) (i : U32) : Result (T × (T → Result (List T))) := match l with | List.Cons x tl => if i = 0#u32 - then Result.ret x - else do - let i0 ← i - 1#u32 - list_nth_mut T tl i0 - | List.Nil => Result.fail .panic - -/- [no_nested_borrows::list_nth_mut]: backward function 0 - Source: 'src/no_nested_borrows.rs', lines 363:0-363:67 -/ -divergent def list_nth_mut_back - (T : Type) (l : List T) (i : U32) (ret : T) : Result (List T) := - match l with - | List.Cons x tl => - if i = 0#u32 - then Result.ret (List.Cons ret tl) + then + let back_'a := fun ret => Result.ret (List.Cons ret tl) + Result.ret (x, back_'a) else do - let i0 ← i - 1#u32 - let tl0 ← list_nth_mut_back T tl i0 ret - Result.ret (List.Cons x tl0) + let i1 ← i - 1#u32 + let (t, list_nth_mut_back) ← list_nth_mut T tl i1 + let back_'a := + fun ret => + do + let tl1 ← list_nth_mut_back ret + Result.ret (List.Cons x tl1) + Result.ret (t, back_'a) | List.Nil => Result.fail .panic -/- [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 -/ divergent def list_rev_aux (T : Type) (li : List T) (lo : List T) : Result (List T) := @@ -438,136 +428,113 @@ divergent def list_rev_aux | List.Cons hd tl => list_rev_aux T tl (List.Cons hd lo) | List.Nil => Result.ret lo -/- [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 -/ def list_rev (T : Type) (l : List T) : Result (List T) := - let li := core.mem.replace (List T) l List.Nil + let (li, _) := core.mem.replace (List T) l List.Nil 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 -/ def test_list_functions : Result Unit := do - let l := List.Nil - let l0 := List.Cons 2#i32 l - let l1 := List.Cons 1#i32 l0 - let i ← list_length I32 (List.Cons 0#i32 l1) - if not (i = 3#u32) + let l := List.Cons 2#i32 List.Nil + let l1 := List.Cons 1#i32 l + let i ← list_length I32 (List.Cons 0#i32 l1) + if not (i = 3#u32) + then Result.fail .panic + else + do + let i1 ← list_nth_shared I32 (List.Cons 0#i32 l1) 0#u32 + if not (i1 = 0#i32) then Result.fail .panic else do - let i0 ← list_nth_shared I32 (List.Cons 0#i32 l1) 0#u32 - if not (i0 = 0#i32) + let i2 ← list_nth_shared I32 (List.Cons 0#i32 l1) 1#u32 + if not (i2 = 1#i32) + then Result.fail .panic + else + do + let i3 ← list_nth_shared I32 (List.Cons 0#i32 l1) 2#u32 + if not (i3 = 2#i32) then Result.fail .panic else do - let i1 ← list_nth_shared I32 (List.Cons 0#i32 l1) 1#u32 - if not (i1 = 1#i32) + let (_, list_nth_mut_back) ← + list_nth_mut I32 (List.Cons 0#i32 l1) 1#u32 + let ls ← list_nth_mut_back 3#i32 + let i4 ← list_nth_shared I32 ls 0#u32 + if not (i4 = 0#i32) + then Result.fail .panic + else + do + let i5 ← list_nth_shared I32 ls 1#u32 + if not (i5 = 3#i32) then Result.fail .panic else do - let i2 ← list_nth_shared I32 (List.Cons 0#i32 l1) 2#u32 - if not (i2 = 2#i32) - then Result.fail .panic - else - do - let ls ← - list_nth_mut_back I32 (List.Cons 0#i32 l1) 1#u32 3#i32 - let i3 ← list_nth_shared I32 ls 0#u32 - if not (i3 = 0#i32) - then Result.fail .panic - else - do - let i4 ← list_nth_shared I32 ls 1#u32 - if not (i4 = 3#i32) - then Result.fail .panic - else - do - let i5 ← list_nth_shared I32 ls 2#u32 - if not (i5 = 2#i32) - then Result.fail .panic - else Result.ret () + let i6 ← list_nth_shared I32 ls 2#u32 + if not (i6 = 2#i32) + then Result.fail .panic + else Result.ret () /- Unit test for [no_nested_borrows::test_list_functions] -/ #assert (test_list_functions == Result.ret ()) -/- [no_nested_borrows::id_mut_pair1]: forward function - Source: 'src/no_nested_borrows.rs', lines 414:0-414:89 -/ -def id_mut_pair1 (T1 T2 : Type) (x : T1) (y : T2) : Result (T1 × T2) := - Result.ret (x, y) - -/- [no_nested_borrows::id_mut_pair1]: backward function 0 +/- [no_nested_borrows::id_mut_pair1]: Source: 'src/no_nested_borrows.rs', lines 414:0-414:89 -/ -def id_mut_pair1_back - (T1 T2 : Type) (x : T1) (y : T2) (ret : (T1 × T2)) : Result (T1 × T2) := - let (t, t0) := ret - Result.ret (t, t0) - -/- [no_nested_borrows::id_mut_pair2]: forward function - Source: 'src/no_nested_borrows.rs', lines 418:0-418:88 -/ -def id_mut_pair2 (T1 T2 : Type) (p : (T1 × T2)) : Result (T1 × T2) := - let (t, t0) := p - Result.ret (t, t0) - -/- [no_nested_borrows::id_mut_pair2]: backward function 0 +def id_mut_pair1 + (T1 T2 : Type) (x : T1) (y : T2) : + Result ((T1 × T2) × ((T1 × T2) → Result (T1 × T2))) + := + let back_'a := fun ret => let (t, t1) := ret + Result.ret (t, t1) + Result.ret ((x, y), back_'a) + +/- [no_nested_borrows::id_mut_pair2]: Source: 'src/no_nested_borrows.rs', lines 418:0-418:88 -/ -def id_mut_pair2_back - (T1 T2 : Type) (p : (T1 × T2)) (ret : (T1 × T2)) : Result (T1 × T2) := - let (t, t0) := ret - Result.ret (t, t0) - -/- [no_nested_borrows::id_mut_pair3]: forward function - Source: 'src/no_nested_borrows.rs', lines 422:0-422:93 -/ -def id_mut_pair3 (T1 T2 : Type) (x : T1) (y : T2) : Result (T1 × T2) := - Result.ret (x, y) - -/- [no_nested_borrows::id_mut_pair3]: backward function 0 - Source: 'src/no_nested_borrows.rs', lines 422:0-422:93 -/ -def id_mut_pair3_back'a - (T1 T2 : Type) (x : T1) (y : T2) (ret : T1) : Result T1 := - Result.ret ret - -/- [no_nested_borrows::id_mut_pair3]: backward function 1 +def id_mut_pair2 + (T1 T2 : Type) (p : (T1 × T2)) : + Result ((T1 × T2) × ((T1 × T2) → Result (T1 × T2))) + := + let (t, t1) := p + let back_'a := fun ret => let (t2, t3) := ret + Result.ret (t2, t3) + Result.ret ((t, t1), back_'a) + +/- [no_nested_borrows::id_mut_pair3]: Source: 'src/no_nested_borrows.rs', lines 422:0-422:93 -/ -def id_mut_pair3_back'b - (T1 T2 : Type) (x : T1) (y : T2) (ret : T2) : Result T2 := - Result.ret ret +def id_mut_pair3 + (T1 T2 : Type) (x : T1) (y : T2) : + Result ((T1 × T2) × (T1 → Result T1) × (T2 → Result T2)) + := + Result.ret ((x, y), Result.ret, Result.ret) -/- [no_nested_borrows::id_mut_pair4]: forward function +/- [no_nested_borrows::id_mut_pair4]: Source: 'src/no_nested_borrows.rs', lines 426:0-426:92 -/ -def id_mut_pair4 (T1 T2 : Type) (p : (T1 × T2)) : Result (T1 × T2) := - let (t, t0) := p - Result.ret (t, t0) - -/- [no_nested_borrows::id_mut_pair4]: backward function 0 - Source: 'src/no_nested_borrows.rs', lines 426:0-426:92 -/ -def id_mut_pair4_back'a - (T1 T2 : Type) (p : (T1 × T2)) (ret : T1) : Result T1 := - Result.ret ret - -/- [no_nested_borrows::id_mut_pair4]: backward function 1 - Source: 'src/no_nested_borrows.rs', lines 426:0-426:92 -/ -def id_mut_pair4_back'b - (T1 T2 : Type) (p : (T1 × T2)) (ret : T2) : Result T2 := - Result.ret ret +def id_mut_pair4 + (T1 T2 : Type) (p : (T1 × T2)) : + Result ((T1 × T2) × (T1 → Result T1) × (T2 → Result T2)) + := + let (t, t1) := p + Result.ret ((t, t1), Result.ret, Result.ret) /- [no_nested_borrows::StructWithTuple] Source: 'src/no_nested_borrows.rs', lines 433:0-433:34 -/ structure StructWithTuple (T1 T2 : Type) where p : (T1 × T2) -/- [no_nested_borrows::new_tuple1]: forward function +/- [no_nested_borrows::new_tuple1]: Source: 'src/no_nested_borrows.rs', lines 437:0-437:48 -/ def new_tuple1 : Result (StructWithTuple U32 U32) := Result.ret { 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 -/ def new_tuple2 : Result (StructWithTuple I16 I16) := Result.ret { 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 -/ def new_tuple3 : Result (StructWithTuple U64 I64) := Result.ret { p := (1#u64, 2#i64) } @@ -577,42 +544,42 @@ def new_tuple3 : Result (StructWithTuple U64 I64) := structure StructWithPair (T1 T2 : Type) where p : Pair T1 T2 -/- [no_nested_borrows::new_pair1]: forward function +/- [no_nested_borrows::new_pair1]: Source: 'src/no_nested_borrows.rs', lines 454:0-454:46 -/ def new_pair1 : Result (StructWithPair U32 U32) := Result.ret { p := { x := 1#u32, 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 -/ def test_constants : Result Unit := do - let swt ← new_tuple1 - let (i, _) := swt.p - if not (i = 1#u32) + let swt ← new_tuple1 + let (i, _) := swt.p + if not (i = 1#u32) + then Result.fail .panic + else + do + let swt1 ← new_tuple2 + let (i1, _) := swt1.p + if not (i1 = 1#i16) then Result.fail .panic else do - let swt0 ← new_tuple2 - let (i0, _) := swt0.p - if not (i0 = 1#i16) + let swt2 ← new_tuple3 + let (i2, _) := swt2.p + if not (i2 = 1#u64) + then Result.fail .panic + else + do + let swp ← new_pair1 + if not (swp.p.x = 1#u32) then Result.fail .panic - else - do - let swt1 ← new_tuple3 - let (i1, _) := swt1.p - if not (i1 = 1#u64) - then Result.fail .panic - else - do - let swp ← new_pair1 - if not (swp.p.x = 1#u32) - then Result.fail .panic - else Result.ret () + else Result.ret () /- Unit test for [no_nested_borrows::test_constants] -/ #assert (test_constants == Result.ret ()) -/- [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 -/ def test_weird_borrows1 : Result Unit := Result.ret () @@ -620,65 +587,80 @@ def test_weird_borrows1 : Result Unit := /- Unit test for [no_nested_borrows::test_weird_borrows1] -/ #assert (test_weird_borrows1 == Result.ret ()) -/- [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 -/ def test_mem_replace (px : U32) : Result U32 := - let y := core.mem.replace U32 px 1#u32 + let (y, _) := core.mem.replace U32 px 1#u32 if not (y = 0#u32) then Result.fail .panic else Result.ret 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 -/ def test_shared_borrow_bool1 (b : Bool) : Result U32 := if b then Result.ret 0#u32 else Result.ret 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 -/ def test_shared_borrow_bool2 : Result U32 := Result.ret 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 -/ def test_shared_borrow_enum1 (l : List U32) : Result U32 := match l with - | List.Cons i l0 => Result.ret 1#u32 + | List.Cons _ _ => Result.ret 1#u32 | List.Nil => Result.ret 0#u32 -/- [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 -/ def test_shared_borrow_enum2 : Result U32 := Result.ret 0#u32 -/- [no_nested_borrows::Tuple] +/- [no_nested_borrows::incr]: Source: 'src/no_nested_borrows.rs', lines 539:0-539:24 -/ +def incr (x : U32) : Result U32 := + x + 1#u32 + +/- [no_nested_borrows::call_incr]: + Source: 'src/no_nested_borrows.rs', lines 543:0-543:35 -/ +def 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 -/ +def read_then_incr (x : U32) : Result (U32 × U32) := + do + let x1 ← x + 1#u32 + Result.ret (x, x1) + +/- [no_nested_borrows::Tuple] + Source: 'src/no_nested_borrows.rs', lines 554:0-554:24 -/ def Tuple (T1 T2 : 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 -/ def use_tuple_struct (x : Tuple U32 U32) : Result (Tuple U32 U32) := Result.ret (1#u32, x.1) -/- [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 -/ def create_tuple_struct (x : U32) (y : U64) : Result (Tuple U32 U64) := Result.ret (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 -/ @[reducible] def IdType (T : 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 -/ def use_id_type (T : Type) (x : IdType T) : Result T := Result.ret 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 -/ def create_id_type (T : Type) (x : T) : Result (IdType T) := Result.ret x diff --git a/tests/lean/Paper.lean b/tests/lean/Paper.lean index 08386bb7..a35c8db0 100644 --- a/tests/lean/Paper.lean +++ b/tests/lean/Paper.lean @@ -5,55 +5,51 @@ open Primitives namespace 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 -/ def ref_incr (x : I32) : Result I32 := x + 1#i32 -/- [paper::test_incr]: forward function +/- [paper::test_incr]: Source: 'src/paper.rs', lines 8:0-8:18 -/ def test_incr : Result Unit := do - let x ← ref_incr 0#i32 - if not (x = 1#i32) - then Result.fail .panic - else Result.ret () + let i ← ref_incr 0#i32 + if not (i = 1#i32) + then Result.fail .panic + else Result.ret () /- Unit test for [paper::test_incr] -/ #assert (test_incr == Result.ret ()) -/- [paper::choose]: forward function - Source: 'src/paper.rs', lines 15:0-15:70 -/ -def choose (T : Type) (b : Bool) (x : T) (y : T) : Result T := - if b - then Result.ret x - else Result.ret y - -/- [paper::choose]: backward function 0 +/- [paper::choose]: Source: 'src/paper.rs', lines 15:0-15:70 -/ -def choose_back - (T : Type) (b : Bool) (x : T) (y : T) (ret : T) : Result (T × T) := +def choose + (T : Type) (b : Bool) (x : T) (y : T) : + Result (T × (T → Result (T × T))) + := if b - then Result.ret (ret, y) - else Result.ret (x, ret) + then let back_'a := fun ret => Result.ret (ret, y) + Result.ret (x, back_'a) + else let back_'a := fun ret => Result.ret (x, ret) + Result.ret (y, back_'a) -/- [paper::test_choose]: forward function +/- [paper::test_choose]: Source: 'src/paper.rs', lines 23:0-23:20 -/ def test_choose : Result Unit := do - let z ← choose I32 true 0#i32 0#i32 - let z0 ← z + 1#i32 - if not (z0 = 1#i32) + let (z, choose_back) ← choose I32 true 0#i32 0#i32 + let z1 ← z + 1#i32 + if not (z1 = 1#i32) + then Result.fail .panic + else + do + let (x, y) ← choose_back z1 + if not (x = 1#i32) then Result.fail .panic - else - do - let (x, y) ← choose_back I32 true 0#i32 0#i32 z0 - if not (x = 1#i32) - then Result.fail .panic - else if not (y = 0#i32) - then Result.fail .panic - else Result.ret () + else if not (y = 0#i32) + then Result.fail .panic + else Result.ret () /- Unit test for [paper::test_choose] -/ #assert (test_choose == Result.ret ()) @@ -64,68 +60,62 @@ inductive List (T : Type) := | Cons : T → List T → List T | Nil : List T -/- [paper::list_nth_mut]: forward function +/- [paper::list_nth_mut]: Source: 'src/paper.rs', lines 42:0-42:67 -/ -divergent def list_nth_mut (T : Type) (l : List T) (i : U32) : Result T := +divergent def list_nth_mut + (T : Type) (l : List T) (i : U32) : Result (T × (T → Result (List T))) := match l with | List.Cons x tl => if i = 0#u32 - then Result.ret x - else do - let i0 ← i - 1#u32 - list_nth_mut T tl i0 - | List.Nil => Result.fail .panic - -/- [paper::list_nth_mut]: backward function 0 - Source: 'src/paper.rs', lines 42:0-42:67 -/ -divergent def list_nth_mut_back - (T : Type) (l : List T) (i : U32) (ret : T) : Result (List T) := - match l with - | List.Cons x tl => - if i = 0#u32 - then Result.ret (List.Cons ret tl) + then + let back_'a := fun ret => Result.ret (List.Cons ret tl) + Result.ret (x, back_'a) else do - let i0 ← i - 1#u32 - let tl0 ← list_nth_mut_back T tl i0 ret - Result.ret (List.Cons x tl0) + let i1 ← i - 1#u32 + let (t, list_nth_mut_back) ← list_nth_mut T tl i1 + let back_'a := + fun ret => + do + let tl1 ← list_nth_mut_back ret + Result.ret (List.Cons x tl1) + Result.ret (t, back_'a) | List.Nil => Result.fail .panic -/- [paper::sum]: forward function +/- [paper::sum]: Source: 'src/paper.rs', lines 57:0-57:32 -/ divergent def sum (l : List I32) : Result I32 := match l with | List.Cons x tl => do - let i ← sum tl - x + i + let i ← sum tl + x + i | List.Nil => Result.ret 0#i32 -/- [paper::test_nth]: forward function +/- [paper::test_nth]: Source: 'src/paper.rs', lines 68:0-68:17 -/ def test_nth : Result Unit := do - let l := List.Nil - let l0 := List.Cons 3#i32 l - let l1 := List.Cons 2#i32 l0 - let x ← list_nth_mut I32 (List.Cons 1#i32 l1) 2#u32 - let x0 ← x + 1#i32 - let l2 ← list_nth_mut_back I32 (List.Cons 1#i32 l1) 2#u32 x0 - let i ← sum l2 - if not (i = 7#i32) - then Result.fail .panic - else Result.ret () + let l := List.Cons 3#i32 List.Nil + let l1 := List.Cons 2#i32 l + let (x, list_nth_mut_back) ← list_nth_mut I32 (List.Cons 1#i32 l1) 2#u32 + let x1 ← x + 1#i32 + let l2 ← list_nth_mut_back x1 + let i ← sum l2 + if not (i = 7#i32) + then Result.fail .panic + else Result.ret () /- Unit test for [paper::test_nth] -/ #assert (test_nth == Result.ret ()) -/- [paper::call_choose]: forward function +/- [paper::call_choose]: Source: 'src/paper.rs', lines 76:0-76:44 -/ def call_choose (p : (U32 × U32)) : Result U32 := do - let (px, py) := p - let pz ← choose U32 true px py - let pz0 ← pz + 1#u32 - let (px0, _) ← choose_back U32 true px py pz0 - Result.ret px0 + let (px, py) := p + let (pz, choose_back) ← choose U32 true px py + let pz1 ← pz + 1#u32 + let (px1, _) ← choose_back pz1 + Result.ret px1 end paper diff --git a/tests/lean/PoloniusList.lean b/tests/lean/PoloniusList.lean index 37f0dffb..59c557a0 100644 --- a/tests/lean/PoloniusList.lean +++ b/tests/lean/PoloniusList.lean @@ -11,28 +11,25 @@ inductive List (T : Type) := | Cons : T → List T → List T | Nil : List T -/- [polonius_list::get_list_at_x]: forward function +/- [polonius_list::get_list_at_x]: Source: 'src/polonius_list.rs', lines 13:0-13:76 -/ -divergent def get_list_at_x (ls : List U32) (x : U32) : Result (List U32) := +divergent def get_list_at_x + (ls : List U32) (x : U32) : + Result ((List U32) × (List U32 → Result (List U32))) + := match ls with | List.Cons hd tl => if hd = x - then Result.ret (List.Cons hd tl) - else get_list_at_x tl x - | List.Nil => Result.ret List.Nil - -/- [polonius_list::get_list_at_x]: backward function 0 - Source: 'src/polonius_list.rs', lines 13:0-13:76 -/ -divergent def get_list_at_x_back - (ls : List U32) (x : U32) (ret : List U32) : Result (List U32) := - match ls with - | List.Cons hd tl => - if hd = x - then Result.ret ret + then Result.ret (List.Cons hd tl, Result.ret) else do - let tl0 ← get_list_at_x_back tl x ret - Result.ret (List.Cons hd tl0) - | List.Nil => Result.ret ret + let (l, get_list_at_x_back) ← get_list_at_x tl x + let back_'a := + fun ret => + do + let tl1 ← get_list_at_x_back ret + Result.ret (List.Cons hd tl1) + Result.ret (l, back_'a) + | List.Nil => Result.ret (List.Nil, Result.ret) end polonius_list diff --git a/tests/lean/Traits.lean b/tests/lean/Traits.lean index 17118203..35f9e5bf 100644 --- a/tests/lean/Traits.lean +++ b/tests/lean/Traits.lean @@ -10,7 +10,7 @@ namespace traits structure BoolTrait (Self : Type) where get_bool : Self → Result Bool -/- [traits::{bool}::get_bool]: forward function +/- [traits::{bool}::get_bool]: Source: 'src/traits.rs', lines 12:4-12:30 -/ def Bool.get_bool (self : Bool) : Result Bool := Result.ret self @@ -21,27 +21,27 @@ def traits.BoolTraitBoolInst : BoolTrait Bool := { get_bool := Bool.get_bool } -/- [traits::BoolTrait::ret_true]: forward function +/- [traits::BoolTrait::ret_true]: Source: 'src/traits.rs', lines 6:4-6:30 -/ def BoolTrait.ret_true {Self : Type} (self_clause : BoolTrait Self) (self : Self) : Result Bool := Result.ret true -/- [traits::test_bool_trait_bool]: forward function +/- [traits::test_bool_trait_bool]: Source: 'src/traits.rs', lines 17:0-17:44 -/ def test_bool_trait_bool (x : Bool) : Result Bool := do - let b ← Bool.get_bool x - if b - then BoolTrait.ret_true traits.BoolTraitBoolInst x - else Result.ret false + let b ← Bool.get_bool x + if b + then BoolTrait.ret_true traits.BoolTraitBoolInst x + else Result.ret 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 -/ def Option.get_bool (T : Type) (self : Option T) : Result Bool := match self with | none => Result.ret false - | some t => Result.ret true + | some _ => Result.ret true /- Trait implementation: [traits::{core::option::Option<T>#1}] Source: 'src/traits.rs', lines 22:0-22:31 -/ @@ -50,16 +50,16 @@ def traits.BoolTraitcoreoptionOptionTInst (T : Type) : BoolTrait (Option 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 -/ def test_bool_trait_option (T : Type) (x : Option T) : Result Bool := do - let b ← Option.get_bool T x - if b - then BoolTrait.ret_true (traits.BoolTraitcoreoptionOptionTInst T) x - else Result.ret false + let b ← Option.get_bool T x + if b + then BoolTrait.ret_true (traits.BoolTraitcoreoptionOptionTInst T) x + else Result.ret false -/- [traits::test_bool_trait]: forward function +/- [traits::test_bool_trait]: Source: 'src/traits.rs', lines 35:0-35:50 -/ def test_bool_trait (T : Type) (BoolTraitTInst : BoolTrait T) (x : T) : Result Bool := @@ -70,7 +70,7 @@ def test_bool_trait structure ToU64 (Self : Type) where to_u64 : Self → Result U64 -/- [traits::{u64#2}::to_u64]: forward function +/- [traits::{u64#2}::to_u64]: Source: 'src/traits.rs', lines 44:4-44:26 -/ def U64.to_u64 (self : U64) : Result U64 := Result.ret self @@ -81,15 +81,15 @@ def traits.ToU64U64Inst : ToU64 U64 := { 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 -/ def Pair.to_u64 (A : Type) (ToU64AInst : ToU64 A) (self : (A × A)) : Result U64 := do - let (t, t0) := self - let i ← ToU64AInst.to_u64 t - let i0 ← ToU64AInst.to_u64 t0 - i + i0 + let (t, t1) := self + let i ← ToU64AInst.to_u64 t + let i1 ← ToU64AInst.to_u64 t1 + i + i1 /- Trait implementation: [traits::{(A, A)#3}] Source: 'src/traits.rs', lines 49:0-49:31 -/ @@ -98,18 +98,18 @@ def traits.ToU64TupleAAInst (A : Type) (ToU64AInst : ToU64 A) : ToU64 (A × A) to_u64 := Pair.to_u64 A ToU64AInst } -/- [traits::f]: forward function +/- [traits::f]: Source: 'src/traits.rs', lines 55:0-55:36 -/ def f (T : Type) (ToU64TInst : ToU64 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 -/ def g (T : Type) (ToU64TupleTTInst : ToU64 (T × T)) (x : (T × T)) : Result U64 := ToU64TupleTTInst.to_u64 x -/- [traits::h0]: forward function +/- [traits::h0]: Source: 'src/traits.rs', lines 66:0-66:24 -/ def h0 (x : U64) : Result U64 := U64.to_u64 x @@ -119,7 +119,7 @@ def h0 (x : U64) : Result U64 := structure Wrapper (T : Type) where x : T -/- [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 -/ def Wrapper.to_u64 (T : Type) (ToU64TInst : ToU64 T) (self : Wrapper T) : Result U64 := @@ -132,12 +132,12 @@ def traits.ToU64traitsWrapperTInst (T : Type) (ToU64TInst : ToU64 T) : ToU64 to_u64 := Wrapper.to_u64 T ToU64TInst } -/- [traits::h1]: forward function +/- [traits::h1]: Source: 'src/traits.rs', lines 80:0-80:33 -/ def h1 (x : Wrapper 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 -/ def h2 (T : Type) (ToU64TInst : ToU64 T) (x : Wrapper T) : Result U64 := Wrapper.to_u64 T ToU64TInst x @@ -147,7 +147,7 @@ def h2 (T : Type) (ToU64TInst : ToU64 T) (x : Wrapper T) : Result U64 := structure ToType (Self T : Type) where to_type : Self → Result T -/- [traits::{u64#5}::to_type]: forward function +/- [traits::{u64#5}::to_type]: Source: 'src/traits.rs', lines 93:4-93:28 -/ def U64.to_type (self : U64) : Result Bool := Result.ret (self > 0#u64) @@ -164,7 +164,7 @@ structure OfType (Self : Type) where of_type : forall (T : Type) (ToTypeTSelfInst : ToType T Self), T → Result Self -/- [traits::h3]: forward function +/- [traits::h3]: Source: 'src/traits.rs', lines 104:0-104:50 -/ def h3 (T1 T2 : Type) (OfTypeT1Inst : OfType T1) (ToTypeT2T1Inst : ToType T2 T1) @@ -179,7 +179,7 @@ structure OfTypeBis (Self T : Type) where ToTypeTSelfInst : ToType T Self of_type : T → Result Self -/- [traits::h4]: forward function +/- [traits::h4]: Source: 'src/traits.rs', lines 118:0-118:57 -/ def h4 (T1 T2 : Type) (OfTypeBisT1T2Inst : OfTypeBis T1 T2) (ToTypeT2T1Inst : ToType @@ -201,7 +201,7 @@ def h4 structure TestType.test.TestTrait (Self : Type) where test : Self → Result Bool -/- [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 -/ def TestType.test.TestType1.test (self : TestType.test.TestType1) : Result Bool := @@ -214,23 +214,23 @@ def traits.TestType.test.TestTraittraitstraitsTestTypeTtestTestType1Inst : 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 -/ def TestType.test (T : Type) (ToU64TInst : ToU64 T) (self : TestType T) (x : T) : Result Bool := do - let x0 ← ToU64TInst.to_u64 x - if x0 > 0#u64 - then TestType.test.TestType1.test 0#u64 - else Result.ret false + let x1 ← ToU64TInst.to_u64 x + if x1 > 0#u64 + then TestType.test.TestType1.test 0#u64 + else Result.ret false /- [traits::BoolWrapper] Source: 'src/traits.rs', lines 150:0-150:22 -/ @[reducible] def BoolWrapper := Bool -/- [traits::{traits::BoolWrapper#7}::to_type]: forward function +/- [traits::{traits::BoolWrapper#7}::to_type]: Source: 'src/traits.rs', lines 156:4-156:25 -/ def BoolWrapper.to_type (T : Type) (ToTypeBoolTInst : ToType Bool T) (self : BoolWrapper) : @@ -266,8 +266,7 @@ structure WithConstTy (Self : Type) (LEN : Usize) where def bool_len1_body : Result Usize := Result.ret 12#usize def bool_len1_c : Usize := eval_global bool_len1_body (by simp) -/- [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 -/ def Bool.f (i : U64) (a : Array U8 32#usize) : Result U64 := Result.ret i @@ -283,16 +282,15 @@ def traits.WithConstTyBool32Inst : WithConstTy Bool 32#usize := { f := Bool.f } -/- [traits::use_with_const_ty1]: forward function +/- [traits::use_with_const_ty1]: Source: 'src/traits.rs', lines 183:0-183:75 -/ def use_with_const_ty1 (H : Type) (LEN : Usize) (WithConstTyHLENInst : WithConstTy H LEN) : Result Usize := - let i := WithConstTyHLENInst.LEN1 - Result.ret i + Result.ret WithConstTyHLENInst.LEN1 -/- [traits::use_with_const_ty2]: forward function +/- [traits::use_with_const_ty2]: Source: 'src/traits.rs', lines 187:0-187:73 -/ def use_with_const_ty2 (H : Type) (LEN : Usize) (WithConstTyHLENInst : WithConstTy H LEN) @@ -301,7 +299,7 @@ def use_with_const_ty2 := Result.ret () -/- [traits::use_with_const_ty3]: forward function +/- [traits::use_with_const_ty3]: Source: 'src/traits.rs', lines 189:0-189:80 -/ def use_with_const_ty3 (H : Type) (LEN : Usize) (WithConstTyHLENInst : WithConstTy H LEN) @@ -310,12 +308,12 @@ def use_with_const_ty3 := WithConstTyHLENInst.W_clause_0.to_u64 x -/- [traits::test_where1]: forward function +/- [traits::test_where1]: Source: 'src/traits.rs', lines 193:0-193:40 -/ def test_where1 (T : Type) (_x : T) : Result Unit := Result.ret () -/- [traits::test_where2]: forward function +/- [traits::test_where2]: Source: 'src/traits.rs', lines 194:0-194:57 -/ def test_where2 (T : Type) (WithConstTyT32Inst : WithConstTy T 32#usize) (_x : U32) : @@ -340,22 +338,30 @@ structure ChildTrait (Self : Type) where ParentTrait0SelfInst : ParentTrait0 Self ParentTrait1SelfInst : ParentTrait1 Self -/- [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 -/ +def test_parent_trait0 + (T : Type) (ParentTrait0TInst : ParentTrait0 T) (x : T) : + Result ParentTrait0TInst.W + := + ParentTrait0TInst.get_w x + +/- [traits::test_child_trait1]: + Source: 'src/traits.rs', lines 213:0-213:56 -/ def test_child_trait1 (T : Type) (ChildTraitTInst : ChildTrait T) (x : T) : Result String := ChildTraitTInst.ParentTrait0SelfInst.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 -/ def test_child_trait2 (T : Type) (ChildTraitTInst : ChildTrait T) (x : T) : Result ChildTraitTInst.ParentTrait0SelfInst.W := ChildTraitTInst.ParentTrait0SelfInst.get_w 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 -/ def order1 (T U : Type) (ParentTrait0TInst : ParentTrait0 T) (ParentTrait0UInst : ParentTrait0 U) : @@ -364,28 +370,28 @@ def order1 Result.ret () /- Trait declaration: [traits::ChildTrait1] - Source: 'src/traits.rs', lines 222:0-222:35 -/ + Source: 'src/traits.rs', lines 226:0-226:35 -/ structure ChildTrait1 (Self : Type) where ParentTrait1SelfInst : ParentTrait1 Self /- Trait implementation: [traits::{usize#9}] - Source: 'src/traits.rs', lines 224:0-224:27 -/ + Source: 'src/traits.rs', lines 228:0-228:27 -/ def traits.ParentTrait1UsizeInst : ParentTrait1 Usize := { } /- Trait implementation: [traits::{usize#10}] - Source: 'src/traits.rs', lines 225:0-225:26 -/ + Source: 'src/traits.rs', lines 229:0-229:26 -/ def traits.ChildTrait1UsizeInst : ChildTrait1 Usize := { 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 -/ structure Iterator (Self : Type) where Item : Type /- Trait declaration: [traits::IntoIterator] - Source: 'src/traits.rs', lines 233:0-233:22 -/ + Source: 'src/traits.rs', lines 237:0-237:22 -/ structure IntoIterator (Self : Type) where Item : Type IntoIter : Type @@ -393,76 +399,86 @@ structure IntoIterator (Self : Type) where into_iter : Self → Result IntoIter /- Trait declaration: [traits::FromResidual] - Source: 'src/traits.rs', lines 250:0-250:21 -/ + Source: 'src/traits.rs', lines 254:0-254:21 -/ structure FromResidual (Self T : Type) where /- Trait declaration: [traits::Try] - Source: 'src/traits.rs', lines 246:0-246:48 -/ + Source: 'src/traits.rs', lines 250:0-250:48 -/ structure Try (Self : Type) where Residual : Type FromResidualSelftraitsTrySelfResidualInst : FromResidual Self Residual /- Trait declaration: [traits::WithTarget] - Source: 'src/traits.rs', lines 252:0-252:20 -/ + Source: 'src/traits.rs', lines 256:0-256:20 -/ structure WithTarget (Self : Type) where Target : Type /- Trait declaration: [traits::ParentTrait2] - Source: 'src/traits.rs', lines 256:0-256:22 -/ + Source: 'src/traits.rs', lines 260:0-260:22 -/ structure ParentTrait2 (Self : Type) where U : Type U_clause_0 : WithTarget U /- Trait declaration: [traits::ChildTrait2] - Source: 'src/traits.rs', lines 260:0-260:35 -/ + Source: 'src/traits.rs', lines 264:0-264:35 -/ structure ChildTrait2 (Self : Type) where ParentTrait2SelfInst : ParentTrait2 Self convert : ParentTrait2SelfInst.U → Result ParentTrait2SelfInst.U_clause_0.Target /- Trait implementation: [traits::{u32#11}] - Source: 'src/traits.rs', lines 264:0-264:23 -/ + Source: 'src/traits.rs', lines 268:0-268:23 -/ def traits.WithTargetU32Inst : WithTarget U32 := { 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 -/ def traits.ParentTrait2U32Inst : ParentTrait2 U32 := { U := U32 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 -/ def U32.convert (x : U32) : Result U32 := Result.ret x /- Trait implementation: [traits::{u32#13}] - Source: 'src/traits.rs', lines 272:0-272:24 -/ + Source: 'src/traits.rs', lines 276:0-276:24 -/ def traits.ChildTrait2U32Inst : ChildTrait2 U32 := { ParentTrait2SelfInst := traits.ParentTrait2U32Inst convert := U32.convert } /- Trait declaration: [traits::CFnOnce] - Source: 'src/traits.rs', lines 286:0-286:23 -/ + Source: 'src/traits.rs', lines 290:0-290:23 -/ structure CFnOnce (Self Args : Type) where Output : Type call_once : Self → Args → Result Output /- Trait declaration: [traits::CFnMut] - Source: 'src/traits.rs', lines 292:0-292:37 -/ + Source: 'src/traits.rs', lines 296:0-296:37 -/ structure CFnMut (Self Args : Type) where CFnOnceSelfArgsInst : CFnOnce Self Args - call_mut : Self → Args → Result CFnOnceSelfArgsInst.Output - call_mut_back : Self → Args → CFnOnceSelfArgsInst.Output → Result Self + call_mut : Self → Args → Result (CFnOnceSelfArgsInst.Output × Self) /- Trait declaration: [traits::CFn] - Source: 'src/traits.rs', lines 296:0-296:33 -/ + Source: 'src/traits.rs', lines 300:0-300:33 -/ structure CFn (Self Args : Type) where CFnMutSelfArgsInst : CFnMut Self Args - call_mut : Self → Args → Result - CFnMutSelfArgsInst.CFnOnceSelfArgsInst.Output + call : Self → Args → Result CFnMutSelfArgsInst.CFnOnceSelfArgsInst.Output + +/- Trait declaration: [traits::GetTrait] + Source: 'src/traits.rs', lines 304:0-304:18 -/ +structure GetTrait (Self : Type) where + W : Type + get_w : Self → Result W + +/- [traits::test_get_trait]: + Source: 'src/traits.rs', lines 309:0-309:49 -/ +def test_get_trait + (T : Type) (GetTraitTInst : GetTrait T) (x : T) : Result GetTraitTInst.W := + GetTraitTInst.get_w x end traits |