diff options
Diffstat (limited to 'tests')
142 files changed, 20075 insertions, 9461 deletions
diff --git a/tests/coq/array/Array.v b/tests/coq/array/Array.v new file mode 100644 index 00000000..1f2cc0e0 --- /dev/null +++ b/tests/coq/array/Array.v @@ -0,0 +1,544 @@ +(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *) +(** [array] *) +Require Import Primitives. +Import Primitives. +Require Import Coq.ZArith.ZArith. +Require Import List. +Import ListNotations. +Local Open Scope Primitives_scope. +Module Array. + +(** [array::AB] + Source: 'src/array.rs', lines 3:0-3:11 *) +Inductive AB_t := | AB_A : AB_t | AB_B : AB_t. + +(** [array::incr]: merged forward/backward function + (there is a single backward function, and the forward function returns ()) + Source: 'src/array.rs', lines 8:0-8:24 *) +Definition incr (x : u32) : result u32 := + u32_add x 1%u32. + +(** [array::array_to_shared_slice_]: forward function + Source: 'src/array.rs', lines 16:0-16:53 *) +Definition array_to_shared_slice_ + (T : Type) (s : array T 32%usize) : result (slice T) := + array_to_slice T 32%usize s +. + +(** [array::array_to_mut_slice_]: forward function + Source: 'src/array.rs', lines 21:0-21:58 *) +Definition array_to_mut_slice_ + (T : Type) (s : array T 32%usize) : result (slice T) := + array_to_slice T 32%usize s +. + +(** [array::array_to_mut_slice_]: backward function 0 + Source: 'src/array.rs', lines 21:0-21:58 *) +Definition array_to_mut_slice__back + (T : Type) (s : array T 32%usize) (ret : slice T) : + result (array T 32%usize) + := + array_from_slice T 32%usize s ret +. + +(** [array::array_len]: forward function + Source: 'src/array.rs', lines 25:0-25:40 *) +Definition array_len (T : Type) (s : array T 32%usize) : result usize := + s0 <- array_to_slice T 32%usize s; let i := slice_len T s0 in Return i +. + +(** [array::shared_array_len]: forward function + Source: 'src/array.rs', lines 29:0-29:48 *) +Definition shared_array_len (T : Type) (s : array T 32%usize) : result usize := + s0 <- array_to_slice T 32%usize s; let i := slice_len T s0 in Return i +. + +(** [array::shared_slice_len]: forward function + Source: 'src/array.rs', lines 33:0-33:44 *) +Definition shared_slice_len (T : Type) (s : slice T) : result usize := + let i := slice_len T s in Return i +. + +(** [array::index_array_shared]: forward function + Source: 'src/array.rs', lines 37:0-37:57 *) +Definition index_array_shared + (T : Type) (s : array T 32%usize) (i : usize) : result T := + array_index_usize T 32%usize s i +. + +(** [array::index_array_u32]: forward function + Source: 'src/array.rs', lines 44:0-44:53 *) +Definition index_array_u32 (s : array u32 32%usize) (i : usize) : result u32 := + array_index_usize u32 32%usize s i +. + +(** [array::index_array_copy]: forward function + Source: 'src/array.rs', lines 48:0-48:45 *) +Definition index_array_copy (x : array u32 32%usize) : result u32 := + array_index_usize u32 32%usize x 0%usize +. + +(** [array::index_mut_array]: forward function + Source: 'src/array.rs', lines 52:0-52:62 *) +Definition index_mut_array + (T : Type) (s : array T 32%usize) (i : usize) : result T := + array_index_usize T 32%usize s i +. + +(** [array::index_mut_array]: backward function 0 + Source: 'src/array.rs', lines 52:0-52:62 *) +Definition index_mut_array_back + (T : Type) (s : array T 32%usize) (i : usize) (ret : T) : + result (array T 32%usize) + := + array_update_usize T 32%usize s i ret +. + +(** [array::index_slice]: forward function + Source: 'src/array.rs', lines 56:0-56:46 *) +Definition index_slice (T : Type) (s : slice T) (i : usize) : result T := + slice_index_usize T s i +. + +(** [array::index_mut_slice]: forward function + Source: 'src/array.rs', lines 60:0-60:58 *) +Definition index_mut_slice (T : Type) (s : slice T) (i : usize) : result T := + slice_index_usize T s i +. + +(** [array::index_mut_slice]: backward function 0 + Source: 'src/array.rs', lines 60:0-60:58 *) +Definition index_mut_slice_back + (T : Type) (s : slice T) (i : usize) (ret : T) : result (slice T) := + slice_update_usize T s i ret +. + +(** [array::slice_subslice_shared_]: forward function + Source: 'src/array.rs', lines 64:0-64:70 *) +Definition slice_subslice_shared_ + (x : slice u32) (y : usize) (z : usize) : result (slice u32) := + core_slice_index_Slice_index u32 (core_ops_range_Range usize) + (core_slice_index_SliceIndexRangeUsizeSliceTInst u32) x + {| core_ops_range_Range_start := y; core_ops_range_Range_end_ := z |} +. + +(** [array::slice_subslice_mut_]: forward function + Source: 'src/array.rs', lines 68:0-68:75 *) +Definition slice_subslice_mut_ + (x : slice u32) (y : usize) (z : usize) : result (slice u32) := + core_slice_index_Slice_index_mut u32 (core_ops_range_Range usize) + (core_slice_index_SliceIndexRangeUsizeSliceTInst u32) x + {| core_ops_range_Range_start := y; core_ops_range_Range_end_ := z |} +. + +(** [array::slice_subslice_mut_]: backward function 0 + Source: 'src/array.rs', lines 68:0-68:75 *) +Definition slice_subslice_mut__back + (x : slice u32) (y : usize) (z : usize) (ret : slice u32) : + result (slice u32) + := + core_slice_index_Slice_index_mut_back u32 (core_ops_range_Range usize) + (core_slice_index_SliceIndexRangeUsizeSliceTInst u32) x + {| core_ops_range_Range_start := y; core_ops_range_Range_end_ := z |} ret +. + +(** [array::array_to_slice_shared_]: forward function + Source: 'src/array.rs', lines 72:0-72:54 *) +Definition array_to_slice_shared_ + (x : array u32 32%usize) : result (slice u32) := + array_to_slice u32 32%usize x +. + +(** [array::array_to_slice_mut_]: forward function + Source: 'src/array.rs', lines 76:0-76:59 *) +Definition array_to_slice_mut_ (x : array u32 32%usize) : result (slice u32) := + array_to_slice u32 32%usize x +. + +(** [array::array_to_slice_mut_]: backward function 0 + Source: 'src/array.rs', lines 76:0-76:59 *) +Definition array_to_slice_mut__back + (x : array u32 32%usize) (ret : slice u32) : result (array u32 32%usize) := + array_from_slice u32 32%usize x ret +. + +(** [array::array_subslice_shared_]: forward function + Source: 'src/array.rs', lines 80:0-80:74 *) +Definition array_subslice_shared_ + (x : array u32 32%usize) (y : usize) (z : usize) : result (slice u32) := + core_array_Array_index u32 (core_ops_range_Range usize) 32%usize + (core_ops_index_IndexSliceTIInst u32 (core_ops_range_Range usize) + (core_slice_index_SliceIndexRangeUsizeSliceTInst u32)) x + {| core_ops_range_Range_start := y; core_ops_range_Range_end_ := z |} +. + +(** [array::array_subslice_mut_]: forward function + Source: 'src/array.rs', lines 84:0-84:79 *) +Definition array_subslice_mut_ + (x : array u32 32%usize) (y : usize) (z : usize) : result (slice u32) := + core_array_Array_index_mut u32 (core_ops_range_Range usize) 32%usize + (core_ops_index_IndexMutSliceTIInst u32 (core_ops_range_Range usize) + (core_slice_index_SliceIndexRangeUsizeSliceTInst u32)) x + {| core_ops_range_Range_start := y; core_ops_range_Range_end_ := z |} +. + +(** [array::array_subslice_mut_]: backward function 0 + Source: 'src/array.rs', lines 84:0-84:79 *) +Definition array_subslice_mut__back + (x : array u32 32%usize) (y : usize) (z : usize) (ret : slice u32) : + result (array u32 32%usize) + := + core_array_Array_index_mut_back u32 (core_ops_range_Range usize) 32%usize + (core_ops_index_IndexMutSliceTIInst u32 (core_ops_range_Range usize) + (core_slice_index_SliceIndexRangeUsizeSliceTInst u32)) x + {| core_ops_range_Range_start := y; core_ops_range_Range_end_ := z |} ret +. + +(** [array::index_slice_0]: forward function + Source: 'src/array.rs', lines 88:0-88:38 *) +Definition index_slice_0 (T : Type) (s : slice T) : result T := + slice_index_usize T s 0%usize +. + +(** [array::index_array_0]: forward function + Source: 'src/array.rs', lines 92:0-92:42 *) +Definition index_array_0 (T : Type) (s : array T 32%usize) : result T := + array_index_usize T 32%usize s 0%usize +. + +(** [array::index_index_array]: forward function + Source: 'src/array.rs', lines 103:0-103:71 *) +Definition index_index_array + (s : array (array u32 32%usize) 32%usize) (i : usize) (j : usize) : + result u32 + := + a <- array_index_usize (array u32 32%usize) 32%usize s i; + array_index_usize u32 32%usize a j +. + +(** [array::update_update_array]: forward function + Source: 'src/array.rs', lines 114:0-114:70 *) +Definition update_update_array + (s : array (array u32 32%usize) 32%usize) (i : usize) (j : usize) : + result unit + := + a <- array_index_usize (array u32 32%usize) 32%usize s i; + a0 <- array_update_usize u32 32%usize a j 0%u32; + _ <- array_update_usize (array u32 32%usize) 32%usize s i a0; + Return tt +. + +(** [array::array_local_deep_copy]: forward function + Source: 'src/array.rs', lines 118:0-118:43 *) +Definition array_local_deep_copy (x : array u32 32%usize) : result unit := + Return tt +. + +(** [array::take_array]: forward function + Source: 'src/array.rs', lines 122:0-122:30 *) +Definition take_array (a : array u32 2%usize) : result unit := + Return tt. + +(** [array::take_array_borrow]: forward function + Source: 'src/array.rs', lines 123:0-123:38 *) +Definition take_array_borrow (a : array u32 2%usize) : result unit := + Return tt +. + +(** [array::take_slice]: forward function + Source: 'src/array.rs', lines 124:0-124:28 *) +Definition take_slice (s : slice u32) : result unit := + Return tt. + +(** [array::take_mut_slice]: merged forward/backward function + (there is a single backward function, and the forward function returns ()) + Source: 'src/array.rs', lines 125:0-125:36 *) +Definition take_mut_slice (s : slice u32) : result (slice u32) := + Return s. + +(** [array::const_array]: forward function + Source: 'src/array.rs', lines 127:0-127:32 *) +Definition const_array : result (array u32 2%usize) := + Return (mk_array u32 2%usize [ 0%u32; 0%u32 ]) +. + +(** [array::const_slice]: forward function + Source: 'src/array.rs', lines 131:0-131:20 *) +Definition const_slice : result unit := + _ <- array_to_slice u32 2%usize (mk_array u32 2%usize [ 0%u32; 0%u32 ]); + Return tt +. + +(** [array::take_all]: forward function + Source: 'src/array.rs', lines 141:0-141:17 *) +Definition take_all : result unit := + _ <- take_array (mk_array u32 2%usize [ 0%u32; 0%u32 ]); + _ <- take_array_borrow (mk_array u32 2%usize [ 0%u32; 0%u32 ]); + s <- array_to_slice u32 2%usize (mk_array u32 2%usize [ 0%u32; 0%u32 ]); + _ <- take_slice s; + s0 <- array_to_slice u32 2%usize (mk_array u32 2%usize [ 0%u32; 0%u32 ]); + s1 <- take_mut_slice s0; + _ <- array_from_slice u32 2%usize (mk_array u32 2%usize [ 0%u32; 0%u32 ]) s1; + Return tt +. + +(** [array::index_array]: forward function + Source: 'src/array.rs', lines 155:0-155:38 *) +Definition index_array (x : array u32 2%usize) : result u32 := + array_index_usize u32 2%usize x 0%usize +. + +(** [array::index_array_borrow]: forward function + Source: 'src/array.rs', lines 158:0-158:46 *) +Definition index_array_borrow (x : array u32 2%usize) : result u32 := + array_index_usize u32 2%usize x 0%usize +. + +(** [array::index_slice_u32_0]: forward function + Source: 'src/array.rs', lines 162:0-162:42 *) +Definition index_slice_u32_0 (x : slice u32) : result u32 := + slice_index_usize u32 x 0%usize +. + +(** [array::index_mut_slice_u32_0]: forward function + Source: 'src/array.rs', lines 166:0-166:50 *) +Definition index_mut_slice_u32_0 (x : slice u32) : result u32 := + slice_index_usize u32 x 0%usize +. + +(** [array::index_mut_slice_u32_0]: backward function 0 + Source: 'src/array.rs', lines 166:0-166:50 *) +Definition index_mut_slice_u32_0_back (x : slice u32) : result (slice u32) := + _ <- slice_index_usize u32 x 0%usize; Return x +. + +(** [array::index_all]: forward function + Source: 'src/array.rs', lines 170:0-170:25 *) +Definition index_all : result u32 := + i <- index_array (mk_array u32 2%usize [ 0%u32; 0%u32 ]); + i0 <- index_array (mk_array u32 2%usize [ 0%u32; 0%u32 ]); + i1 <- u32_add i i0; + i2 <- index_array_borrow (mk_array u32 2%usize [ 0%u32; 0%u32 ]); + i3 <- u32_add i1 i2; + s <- array_to_slice u32 2%usize (mk_array u32 2%usize [ 0%u32; 0%u32 ]); + i4 <- index_slice_u32_0 s; + i5 <- u32_add i3 i4; + s0 <- array_to_slice u32 2%usize (mk_array u32 2%usize [ 0%u32; 0%u32 ]); + i6 <- index_mut_slice_u32_0 s0; + i7 <- u32_add i5 i6; + s1 <- index_mut_slice_u32_0_back s0; + _ <- array_from_slice u32 2%usize (mk_array u32 2%usize [ 0%u32; 0%u32 ]) s1; + Return i7 +. + +(** [array::update_array]: forward function + Source: 'src/array.rs', lines 184:0-184:36 *) +Definition update_array (x : array u32 2%usize) : result unit := + _ <- array_update_usize u32 2%usize x 0%usize 1%u32; Return tt +. + +(** [array::update_array_mut_borrow]: merged forward/backward function + (there is a single backward function, and the forward function returns ()) + Source: 'src/array.rs', lines 187:0-187:48 *) +Definition update_array_mut_borrow + (x : array u32 2%usize) : result (array u32 2%usize) := + array_update_usize u32 2%usize x 0%usize 1%u32 +. + +(** [array::update_mut_slice]: merged forward/backward function + (there is a single backward function, and the forward function returns ()) + Source: 'src/array.rs', lines 190:0-190:38 *) +Definition update_mut_slice (x : slice u32) : result (slice u32) := + slice_update_usize u32 x 0%usize 1%u32 +. + +(** [array::update_all]: forward function + Source: 'src/array.rs', lines 194:0-194:19 *) +Definition update_all : result unit := + _ <- update_array (mk_array u32 2%usize [ 0%u32; 0%u32 ]); + x <- update_array_mut_borrow (mk_array u32 2%usize [ 0%u32; 0%u32 ]); + s <- array_to_slice u32 2%usize x; + s0 <- update_mut_slice s; + _ <- array_from_slice u32 2%usize x s0; + Return tt +. + +(** [array::range_all]: forward function + Source: 'src/array.rs', lines 205:0-205:18 *) +Definition range_all : result unit := + s <- + core_array_Array_index_mut u32 (core_ops_range_Range usize) 4%usize + (core_ops_index_IndexMutSliceTIInst u32 (core_ops_range_Range usize) + (core_slice_index_SliceIndexRangeUsizeSliceTInst u32)) + (mk_array u32 4%usize [ 0%u32; 0%u32; 0%u32; 0%u32 ]) + {| + core_ops_range_Range_start := 1%usize; + core_ops_range_Range_end_ := 3%usize + |}; + s0 <- update_mut_slice s; + _ <- + core_array_Array_index_mut_back u32 (core_ops_range_Range usize) 4%usize + (core_ops_index_IndexMutSliceTIInst u32 (core_ops_range_Range usize) + (core_slice_index_SliceIndexRangeUsizeSliceTInst u32)) + (mk_array u32 4%usize [ 0%u32; 0%u32; 0%u32; 0%u32 ]) + {| + core_ops_range_Range_start := 1%usize; + core_ops_range_Range_end_ := 3%usize + |} s0; + Return tt +. + +(** [array::deref_array_borrow]: forward function + Source: 'src/array.rs', lines 214:0-214:46 *) +Definition deref_array_borrow (x : array u32 2%usize) : result u32 := + array_index_usize u32 2%usize x 0%usize +. + +(** [array::deref_array_mut_borrow]: forward function + Source: 'src/array.rs', lines 219:0-219:54 *) +Definition deref_array_mut_borrow (x : array u32 2%usize) : result u32 := + array_index_usize u32 2%usize x 0%usize +. + +(** [array::deref_array_mut_borrow]: backward function 0 + Source: 'src/array.rs', lines 219:0-219:54 *) +Definition deref_array_mut_borrow_back + (x : array u32 2%usize) : result (array u32 2%usize) := + _ <- array_index_usize u32 2%usize x 0%usize; Return x +. + +(** [array::take_array_t]: forward function + Source: 'src/array.rs', lines 227:0-227:31 *) +Definition take_array_t (a : array AB_t 2%usize) : result unit := + Return tt. + +(** [array::non_copyable_array]: forward function + Source: 'src/array.rs', lines 229:0-229:27 *) +Definition non_copyable_array : result unit := + _ <- take_array_t (mk_array AB_t 2%usize [ AB_A; AB_B ]); Return tt +. + +(** [array::sum]: loop 0: forward function + Source: 'src/array.rs', lines 242:0-250:1 *) +Fixpoint sum_loop + (n : nat) (s : slice u32) (sum0 : u32) (i : usize) : result u32 := + match n with + | O => Fail_ OutOfFuel + | S n0 => + let i0 := slice_len u32 s in + if i s< i0 + then ( + i1 <- slice_index_usize u32 s i; + sum1 <- u32_add sum0 i1; + i2 <- usize_add i 1%usize; + sum_loop n0 s sum1 i2) + else Return sum0 + end +. + +(** [array::sum]: forward function + Source: 'src/array.rs', lines 242:0-242:28 *) +Definition sum (n : nat) (s : slice u32) : result u32 := + sum_loop n s 0%u32 0%usize +. + +(** [array::sum2]: loop 0: forward function + Source: 'src/array.rs', lines 252:0-261:1 *) +Fixpoint sum2_loop + (n : nat) (s : slice u32) (s2 : slice u32) (sum0 : u32) (i : usize) : + result u32 + := + match n with + | O => Fail_ OutOfFuel + | S n0 => + let i0 := slice_len u32 s in + if i s< i0 + then ( + i1 <- slice_index_usize u32 s i; + i2 <- slice_index_usize u32 s2 i; + i3 <- u32_add i1 i2; + sum1 <- u32_add sum0 i3; + i4 <- usize_add i 1%usize; + sum2_loop n0 s s2 sum1 i4) + else Return sum0 + end +. + +(** [array::sum2]: forward function + Source: 'src/array.rs', lines 252:0-252:41 *) +Definition sum2 (n : nat) (s : slice u32) (s2 : slice u32) : result u32 := + let i := slice_len u32 s in + let i0 := slice_len u32 s2 in + if negb (i s= i0) then Fail_ Failure else sum2_loop n s s2 0%u32 0%usize +. + +(** [array::f0]: forward function + Source: 'src/array.rs', lines 263:0-263:11 *) +Definition f0 : result unit := + s <- array_to_slice u32 2%usize (mk_array u32 2%usize [ 1%u32; 2%u32 ]); + s0 <- slice_update_usize u32 s 0%usize 1%u32; + _ <- array_from_slice u32 2%usize (mk_array u32 2%usize [ 1%u32; 2%u32 ]) s0; + Return tt +. + +(** [array::f1]: forward function + Source: 'src/array.rs', lines 268:0-268:11 *) +Definition f1 : result unit := + _ <- + array_update_usize u32 2%usize (mk_array u32 2%usize [ 1%u32; 2%u32 ]) + 0%usize 1%u32; + Return tt +. + +(** [array::f2]: forward function + Source: 'src/array.rs', lines 273:0-273:17 *) +Definition f2 (i : u32) : result unit := + Return tt. + +(** [array::f4]: forward function + Source: 'src/array.rs', lines 282:0-282:54 *) +Definition f4 + (x : array u32 32%usize) (y : usize) (z : usize) : result (slice u32) := + core_array_Array_index u32 (core_ops_range_Range usize) 32%usize + (core_ops_index_IndexSliceTIInst u32 (core_ops_range_Range usize) + (core_slice_index_SliceIndexRangeUsizeSliceTInst u32)) x + {| core_ops_range_Range_start := y; core_ops_range_Range_end_ := z |} +. + +(** [array::f3]: forward function + Source: 'src/array.rs', lines 275:0-275:18 *) +Definition f3 (n : nat) : result u32 := + i <- + array_index_usize u32 2%usize (mk_array u32 2%usize [ 1%u32; 2%u32 ]) + 0%usize; + _ <- f2 i; + let b := array_repeat u32 32%usize 0%u32 in + s <- array_to_slice u32 2%usize (mk_array u32 2%usize [ 1%u32; 2%u32 ]); + s0 <- f4 b 16%usize 18%usize; + sum2 n s s0 +. + +(** [array::SZ] + Source: 'src/array.rs', lines 286:0-286:19 *) +Definition sz_body : result usize := Return 32%usize. +Definition sz_c : usize := sz_body%global. + +(** [array::f5]: forward function + Source: 'src/array.rs', lines 289:0-289:31 *) +Definition f5 (x : array u32 32%usize) : result u32 := + array_index_usize u32 32%usize x 0%usize +. + +(** [array::ite]: forward function + Source: 'src/array.rs', lines 294:0-294:12 *) +Definition ite : result unit := + s <- array_to_slice u32 2%usize (mk_array u32 2%usize [ 0%u32; 0%u32 ]); + s0 <- array_to_slice u32 2%usize (mk_array u32 2%usize [ 0%u32; 0%u32 ]); + s1 <- index_mut_slice_u32_0_back s0; + _ <- array_from_slice u32 2%usize (mk_array u32 2%usize [ 0%u32; 0%u32 ]) s1; + s2 <- index_mut_slice_u32_0_back s; + _ <- array_from_slice u32 2%usize (mk_array u32 2%usize [ 0%u32; 0%u32 ]) s2; + Return tt +. + +End Array. diff --git a/tests/coq/array/Array_Funs.v b/tests/coq/array/Array_Funs.v deleted file mode 100644 index 6d791873..00000000 --- a/tests/coq/array/Array_Funs.v +++ /dev/null @@ -1,467 +0,0 @@ -(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *) -(** [array]: function definitions *) -Require Import Primitives. -Import Primitives. -Require Import Coq.ZArith.ZArith. -Require Import List. -Import ListNotations. -Local Open Scope Primitives_scope. -Require Export Array_Types. -Import Array_Types. -Module Array_Funs. - -(** [array::array_to_shared_slice_]: forward function *) -Definition array_to_shared_slice__fwd - (T : Type) (s : array T 32%usize) : result (slice T) := - array_to_slice_shared T 32%usize s -. - -(** [array::array_to_mut_slice_]: forward function *) -Definition array_to_mut_slice__fwd - (T : Type) (s : array T 32%usize) : result (slice T) := - array_to_slice_mut_fwd T 32%usize s -. - -(** [array::array_to_mut_slice_]: backward function 0 *) -Definition array_to_mut_slice__back - (T : Type) (s : array T 32%usize) (ret : slice T) : - result (array T 32%usize) - := - array_to_slice_mut_back T 32%usize s ret -. - -(** [array::array_len]: forward function *) -Definition array_len_fwd (T : Type) (s : array T 32%usize) : result usize := - s0 <- array_to_slice_shared T 32%usize s; let i := slice_len T s0 in Return i -. - -(** [array::shared_array_len]: forward function *) -Definition shared_array_len_fwd - (T : Type) (s : array T 32%usize) : result usize := - s0 <- array_to_slice_shared T 32%usize s; let i := slice_len T s0 in Return i -. - -(** [array::shared_slice_len]: forward function *) -Definition shared_slice_len_fwd (T : Type) (s : slice T) : result usize := - let i := slice_len T s in Return i -. - -(** [array::index_array_shared]: forward function *) -Definition index_array_shared_fwd - (T : Type) (s : array T 32%usize) (i : usize) : result T := - array_index_shared T 32%usize s i -. - -(** [array::index_array_u32]: forward function *) -Definition index_array_u32_fwd - (s : array u32 32%usize) (i : usize) : result u32 := - array_index_shared u32 32%usize s i -. - -(** [array::index_array_generic]: forward function *) -Definition index_array_generic_fwd - (N : usize) (s : array u32 N) (i : usize) : result u32 := - array_index_shared u32 N s i -. - -(** [array::index_array_generic_call]: forward function *) -Definition index_array_generic_call_fwd - (N : usize) (s : array u32 N) (i : usize) : result u32 := - index_array_generic_fwd N s i -. - -(** [array::index_array_copy]: forward function *) -Definition index_array_copy_fwd (x : array u32 32%usize) : result u32 := - array_index_shared u32 32%usize x 0%usize -. - -(** [array::index_mut_array]: forward function *) -Definition index_mut_array_fwd - (T : Type) (s : array T 32%usize) (i : usize) : result T := - array_index_mut_fwd T 32%usize s i -. - -(** [array::index_mut_array]: backward function 0 *) -Definition index_mut_array_back - (T : Type) (s : array T 32%usize) (i : usize) (ret : T) : - result (array T 32%usize) - := - array_index_mut_back T 32%usize s i ret -. - -(** [array::index_slice]: forward function *) -Definition index_slice_fwd (T : Type) (s : slice T) (i : usize) : result T := - slice_index_shared T s i -. - -(** [array::index_mut_slice]: forward function *) -Definition index_mut_slice_fwd - (T : Type) (s : slice T) (i : usize) : result T := - slice_index_mut_fwd T s i -. - -(** [array::index_mut_slice]: backward function 0 *) -Definition index_mut_slice_back - (T : Type) (s : slice T) (i : usize) (ret : T) : result (slice T) := - slice_index_mut_back T s i ret -. - -(** [array::slice_subslice_shared_]: forward function *) -Definition slice_subslice_shared__fwd - (x : slice u32) (y : usize) (z : usize) : result (slice u32) := - slice_subslice_shared u32 x (mk_range y z) -. - -(** [array::slice_subslice_mut_]: forward function *) -Definition slice_subslice_mut__fwd - (x : slice u32) (y : usize) (z : usize) : result (slice u32) := - slice_subslice_mut_fwd u32 x (mk_range y z) -. - -(** [array::slice_subslice_mut_]: backward function 0 *) -Definition slice_subslice_mut__back - (x : slice u32) (y : usize) (z : usize) (ret : slice u32) : - result (slice u32) - := - slice_subslice_mut_back u32 x (mk_range y z) ret -. - -(** [array::array_to_slice_shared_]: forward function *) -Definition array_to_slice_shared__fwd - (x : array u32 32%usize) : result (slice u32) := - array_to_slice_shared u32 32%usize x -. - -(** [array::array_to_slice_mut_]: forward function *) -Definition array_to_slice_mut__fwd - (x : array u32 32%usize) : result (slice u32) := - array_to_slice_mut_fwd u32 32%usize x -. - -(** [array::array_to_slice_mut_]: backward function 0 *) -Definition array_to_slice_mut__back - (x : array u32 32%usize) (ret : slice u32) : result (array u32 32%usize) := - array_to_slice_mut_back u32 32%usize x ret -. - -(** [array::array_subslice_shared_]: forward function *) -Definition array_subslice_shared__fwd - (x : array u32 32%usize) (y : usize) (z : usize) : result (slice u32) := - array_subslice_shared u32 32%usize x (mk_range y z) -. - -(** [array::array_subslice_mut_]: forward function *) -Definition array_subslice_mut__fwd - (x : array u32 32%usize) (y : usize) (z : usize) : result (slice u32) := - array_subslice_mut_fwd u32 32%usize x (mk_range y z) -. - -(** [array::array_subslice_mut_]: backward function 0 *) -Definition array_subslice_mut__back - (x : array u32 32%usize) (y : usize) (z : usize) (ret : slice u32) : - result (array u32 32%usize) - := - array_subslice_mut_back u32 32%usize x (mk_range y z) ret -. - -(** [array::index_slice_0]: forward function *) -Definition index_slice_0_fwd (T : Type) (s : slice T) : result T := - slice_index_shared T s 0%usize -. - -(** [array::index_array_0]: forward function *) -Definition index_array_0_fwd (T : Type) (s : array T 32%usize) : result T := - array_index_shared T 32%usize s 0%usize -. - -(** [array::index_index_array]: forward function *) -Definition index_index_array_fwd - (s : array (array u32 32%usize) 32%usize) (i : usize) (j : usize) : - result u32 - := - a <- array_index_shared (array u32 32%usize) 32%usize s i; - array_index_shared u32 32%usize a j -. - -(** [array::update_update_array]: forward function *) -Definition update_update_array_fwd - (s : array (array u32 32%usize) 32%usize) (i : usize) (j : usize) : - result unit - := - a <- array_index_mut_fwd (array u32 32%usize) 32%usize s i; - a0 <- array_index_mut_back u32 32%usize a j 0%u32; - _ <- array_index_mut_back (array u32 32%usize) 32%usize s i a0; - Return tt -. - -(** [array::array_local_deep_copy]: forward function *) -Definition array_local_deep_copy_fwd (x : array u32 32%usize) : result unit := - Return tt -. - -(** [array::take_array]: forward function *) -Definition take_array_fwd (a : array u32 2%usize) : result unit := - Return tt. - -(** [array::take_array_borrow]: forward function *) -Definition take_array_borrow_fwd (a : array u32 2%usize) : result unit := - Return tt -. - -(** [array::take_slice]: forward function *) -Definition take_slice_fwd (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 ()) *) -Definition take_mut_slice_fwd_back (s : slice u32) : result (slice u32) := - Return s -. - -(** [array::take_all]: forward function *) -Definition take_all_fwd : result unit := - _ <- take_array_fwd (mk_array u32 2%usize [ 0%u32; 0%u32 ]); - _ <- take_array_borrow_fwd (mk_array u32 2%usize [ 0%u32; 0%u32 ]); - s <- - array_to_slice_shared u32 2%usize (mk_array u32 2%usize [ 0%u32; 0%u32 ]); - _ <- take_slice_fwd s; - s0 <- - array_to_slice_mut_fwd u32 2%usize (mk_array u32 2%usize [ 0%u32; 0%u32 ]); - s1 <- take_mut_slice_fwd_back s0; - _ <- - array_to_slice_mut_back u32 2%usize (mk_array u32 2%usize [ 0%u32; 0%u32 ]) - s1; - Return tt -. - -(** [array::index_array]: forward function *) -Definition index_array_fwd (x : array u32 2%usize) : result u32 := - array_index_shared u32 2%usize x 0%usize -. - -(** [array::index_array_borrow]: forward function *) -Definition index_array_borrow_fwd (x : array u32 2%usize) : result u32 := - array_index_shared u32 2%usize x 0%usize -. - -(** [array::index_slice_u32_0]: forward function *) -Definition index_slice_u32_0_fwd (x : slice u32) : result u32 := - slice_index_shared u32 x 0%usize -. - -(** [array::index_mut_slice_u32_0]: forward function *) -Definition index_mut_slice_u32_0_fwd (x : slice u32) : result u32 := - slice_index_shared u32 x 0%usize -. - -(** [array::index_mut_slice_u32_0]: backward function 0 *) -Definition index_mut_slice_u32_0_back (x : slice u32) : result (slice u32) := - _ <- slice_index_shared u32 x 0%usize; Return x -. - -(** [array::index_all]: forward function *) -Definition index_all_fwd : result u32 := - i <- index_array_fwd (mk_array u32 2%usize [ 0%u32; 0%u32 ]); - i0 <- index_array_fwd (mk_array u32 2%usize [ 0%u32; 0%u32 ]); - i1 <- u32_add i i0; - i2 <- index_array_borrow_fwd (mk_array u32 2%usize [ 0%u32; 0%u32 ]); - i3 <- u32_add i1 i2; - s <- - array_to_slice_shared u32 2%usize (mk_array u32 2%usize [ 0%u32; 0%u32 ]); - i4 <- index_slice_u32_0_fwd s; - i5 <- u32_add i3 i4; - s0 <- - array_to_slice_mut_fwd u32 2%usize (mk_array u32 2%usize [ 0%u32; 0%u32 ]); - i6 <- index_mut_slice_u32_0_fwd s0; - i7 <- u32_add i5 i6; - s1 <- index_mut_slice_u32_0_back s0; - _ <- - array_to_slice_mut_back u32 2%usize (mk_array u32 2%usize [ 0%u32; 0%u32 ]) - s1; - Return i7 -. - -(** [array::update_array]: forward function *) -Definition update_array_fwd (x : array u32 2%usize) : result unit := - _ <- array_index_mut_back u32 2%usize x 0%usize 1%u32; Return tt -. - -(** [array::update_array_mut_borrow]: merged forward/backward function - (there is a single backward function, and the forward function returns ()) *) -Definition update_array_mut_borrow_fwd_back - (x : array u32 2%usize) : result (array u32 2%usize) := - array_index_mut_back u32 2%usize x 0%usize 1%u32 -. - -(** [array::update_mut_slice]: merged forward/backward function - (there is a single backward function, and the forward function returns ()) *) -Definition update_mut_slice_fwd_back (x : slice u32) : result (slice u32) := - slice_index_mut_back u32 x 0%usize 1%u32 -. - -(** [array::update_all]: forward function *) -Definition update_all_fwd : result unit := - _ <- update_array_fwd (mk_array u32 2%usize [ 0%u32; 0%u32 ]); - x <- - update_array_mut_borrow_fwd_back (mk_array u32 2%usize [ 0%u32; 0%u32 ]); - s <- array_to_slice_mut_fwd u32 2%usize x; - s0 <- update_mut_slice_fwd_back s; - _ <- array_to_slice_mut_back u32 2%usize x s0; - Return tt -. - -(** [array::range_all]: forward function *) -Definition range_all_fwd : result unit := - s <- - array_subslice_mut_fwd u32 4%usize - (mk_array u32 4%usize [ 0%u32; 0%u32; 0%u32; 0%u32 ]) (mk_range 1%usize - 3%usize); - s0 <- update_mut_slice_fwd_back s; - _ <- - array_subslice_mut_back u32 4%usize - (mk_array u32 4%usize [ 0%u32; 0%u32; 0%u32; 0%u32 ]) (mk_range 1%usize - 3%usize) s0; - Return tt -. - -(** [array::deref_array_borrow]: forward function *) -Definition deref_array_borrow_fwd (x : array u32 2%usize) : result u32 := - array_index_shared u32 2%usize x 0%usize -. - -(** [array::deref_array_mut_borrow]: forward function *) -Definition deref_array_mut_borrow_fwd (x : array u32 2%usize) : result u32 := - array_index_shared u32 2%usize x 0%usize -. - -(** [array::deref_array_mut_borrow]: backward function 0 *) -Definition deref_array_mut_borrow_back - (x : array u32 2%usize) : result (array u32 2%usize) := - _ <- array_index_shared u32 2%usize x 0%usize; Return x -. - -(** [array::take_array_t]: forward function *) -Definition take_array_t_fwd (a : array T_t 2%usize) : result unit := - Return tt. - -(** [array::non_copyable_array]: forward function *) -Definition non_copyable_array_fwd : result unit := - _ <- take_array_t_fwd (mk_array T_t 2%usize [ TA; TB ]); Return tt -. - -(** [array::sum]: loop 0: forward function *) -Fixpoint sum_loop_fwd - (n : nat) (s : slice u32) (sum : u32) (i : usize) : result u32 := - match n with - | O => Fail_ OutOfFuel - | S n0 => - let i0 := slice_len u32 s in - if i s< i0 - then ( - i1 <- slice_index_shared u32 s i; - sum0 <- u32_add sum i1; - i2 <- usize_add i 1%usize; - sum_loop_fwd n0 s sum0 i2) - else Return sum - end -. - -(** [array::sum]: forward function *) -Definition sum_fwd (n : nat) (s : slice u32) : result u32 := - sum_loop_fwd n s 0%u32 0%usize -. - -(** [array::sum2]: loop 0: forward function *) -Fixpoint sum2_loop_fwd - (n : nat) (s : slice u32) (s2 : slice u32) (sum : u32) (i : usize) : - result u32 - := - match n with - | O => Fail_ OutOfFuel - | S n0 => - let i0 := slice_len u32 s in - if i s< i0 - then ( - i1 <- slice_index_shared u32 s i; - i2 <- slice_index_shared u32 s2 i; - i3 <- u32_add i1 i2; - sum0 <- u32_add sum i3; - i4 <- usize_add i 1%usize; - sum2_loop_fwd n0 s s2 sum0 i4) - else Return sum - end -. - -(** [array::sum2]: forward function *) -Definition sum2_fwd (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_fwd n s s2 0%u32 0%usize -. - -(** [array::f0]: forward function *) -Definition f0_fwd : result unit := - s <- - array_to_slice_mut_fwd u32 2%usize (mk_array u32 2%usize [ 1%u32; 2%u32 ]); - s0 <- slice_index_mut_back u32 s 0%usize 1%u32; - _ <- - array_to_slice_mut_back u32 2%usize (mk_array u32 2%usize [ 1%u32; 2%u32 ]) - s0; - Return tt -. - -(** [array::f1]: forward function *) -Definition f1_fwd : result unit := - _ <- - array_index_mut_back u32 2%usize (mk_array u32 2%usize [ 1%u32; 2%u32 ]) - 0%usize 1%u32; - Return tt -. - -(** [array::f2]: forward function *) -Definition f2_fwd (i : u32) : result unit := - Return tt. - -(** [array::f4]: forward function *) -Definition f4_fwd - (x : array u32 32%usize) (y : usize) (z : usize) : result (slice u32) := - array_subslice_shared u32 32%usize x (mk_range y z) -. - -(** [array::f3]: forward function *) -Definition f3_fwd (n : nat) : result u32 := - i <- - array_index_shared u32 2%usize (mk_array u32 2%usize [ 1%u32; 2%u32 ]) - 0%usize; - _ <- f2_fwd i; - s <- - array_to_slice_shared u32 2%usize (mk_array u32 2%usize [ 1%u32; 2%u32 ]); - s0 <- - f4_fwd - (mk_array u32 32%usize [ - 0%u32; 0%u32; 0%u32; 0%u32; 0%u32; 0%u32; 0%u32; 0%u32; 0%u32; 0%u32; - 0%u32; 0%u32; 0%u32; 0%u32; 0%u32; 0%u32; 0%u32; 0%u32; 0%u32; 0%u32; - 0%u32; 0%u32; 0%u32; 0%u32; 0%u32; 0%u32; 0%u32; 0%u32; 0%u32; 0%u32; - 0%u32; 0%u32 - ]) 16%usize 18%usize; - sum2_fwd n s s0 -. - -(** [array::ite]: forward function *) -Definition ite_fwd : result unit := - s <- - array_to_slice_mut_fwd u32 2%usize (mk_array u32 2%usize [ 0%u32; 0%u32 ]); - s0 <- - array_to_slice_mut_fwd u32 2%usize (mk_array u32 2%usize [ 0%u32; 0%u32 ]); - s1 <- index_mut_slice_u32_0_back s0; - _ <- - array_to_slice_mut_back u32 2%usize (mk_array u32 2%usize [ 0%u32; 0%u32 ]) - s1; - s2 <- index_mut_slice_u32_0_back s; - _ <- - array_to_slice_mut_back u32 2%usize (mk_array u32 2%usize [ 0%u32; 0%u32 ]) - s2; - Return tt -. - -End Array_Funs . diff --git a/tests/coq/array/Array_Types.v b/tests/coq/array/Array_Types.v deleted file mode 100644 index 7be6dc9b..00000000 --- a/tests/coq/array/Array_Types.v +++ /dev/null @@ -1,14 +0,0 @@ -(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *) -(** [array]: type definitions *) -Require Import Primitives. -Import Primitives. -Require Import Coq.ZArith.ZArith. -Require Import List. -Import ListNotations. -Local Open Scope Primitives_scope. -Module Array_Types. - -(** [array::T] *) -Inductive T_t := | TA : T_t | TB : T_t. - -End Array_Types . diff --git a/tests/coq/array/Primitives.v b/tests/coq/array/Primitives.v index 71a2d9c3..99ffe070 100644 --- a/tests/coq/array/Primitives.v +++ b/tests/coq/array/Primitives.v @@ -63,13 +63,15 @@ Check (if true then Return (1 + 2) else Fail_ Failure)%global = 3. (*** Misc *) - Definition string := Coq.Strings.String.string. Definition char := Coq.Strings.Ascii.ascii. Definition char_of_byte := Coq.Strings.Ascii.ascii_of_byte. -Definition mem_replace_fwd (a : Type) (x : a) (y : a) : a := x . -Definition mem_replace_back (a : Type) (x : a) (y : a) : a := y . +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 . + +Record mut_raw_ptr (T : Type) := { mut_raw_ptr_v : T }. +Record const_raw_ptr (T : Type) := { const_raw_ptr_v : T }. (*** Scalars *) @@ -253,6 +255,12 @@ Definition scalar_rem {ty} (x y: scalar ty) : result (scalar ty) := mk_scalar ty Definition scalar_neg {ty} (x: scalar ty) : result (scalar ty) := mk_scalar ty (-(to_Z x)). +Axiom scalar_xor : forall ty, scalar ty -> scalar ty -> scalar ty. (* TODO *) +Axiom scalar_or : forall ty, scalar ty -> scalar ty -> scalar ty. (* TODO *) +Axiom scalar_and : forall ty, scalar ty -> scalar ty -> scalar ty. (* TODO *) +Axiom scalar_shl : forall ty0 ty1, scalar ty0 -> scalar ty1 -> result (scalar ty0). (* TODO *) +Axiom scalar_shr : forall ty0 ty1, scalar ty0 -> scalar ty1 -> result (scalar ty0). (* TODO *) + (** Cast an integer from a [src_ty] to a [tgt_ty] *) (* TODO: check the semantics of casts in Rust *) Definition scalar_cast (src_ty tgt_ty : scalar_ty) (x : scalar src_ty) : result (scalar tgt_ty) := @@ -370,6 +378,76 @@ Definition u32_mul := @scalar_mul U32. Definition u64_mul := @scalar_mul U64. Definition u128_mul := @scalar_mul U128. +(** Xor *) +Definition u8_xor := @scalar_xor U8. +Definition u16_xor := @scalar_xor U16. +Definition u32_xor := @scalar_xor U32. +Definition u64_xor := @scalar_xor U64. +Definition u128_xor := @scalar_xor U128. +Definition usize_xor := @scalar_xor Usize. +Definition i8_xor := @scalar_xor I8. +Definition i16_xor := @scalar_xor I16. +Definition i32_xor := @scalar_xor I32. +Definition i64_xor := @scalar_xor I64. +Definition i128_xor := @scalar_xor I128. +Definition isize_xor := @scalar_xor Isize. + +(** Or *) +Definition u8_or := @scalar_or U8. +Definition u16_or := @scalar_or U16. +Definition u32_or := @scalar_or U32. +Definition u64_or := @scalar_or U64. +Definition u128_or := @scalar_or U128. +Definition usize_or := @scalar_or Usize. +Definition i8_or := @scalar_or I8. +Definition i16_or := @scalar_or I16. +Definition i32_or := @scalar_or I32. +Definition i64_or := @scalar_or I64. +Definition i128_or := @scalar_or I128. +Definition isize_or := @scalar_or Isize. + +(** And *) +Definition u8_and := @scalar_and U8. +Definition u16_and := @scalar_and U16. +Definition u32_and := @scalar_and U32. +Definition u64_and := @scalar_and U64. +Definition u128_and := @scalar_and U128. +Definition usize_and := @scalar_and Usize. +Definition i8_and := @scalar_and I8. +Definition i16_and := @scalar_and I16. +Definition i32_and := @scalar_and I32. +Definition i64_and := @scalar_and I64. +Definition i128_and := @scalar_and I128. +Definition isize_and := @scalar_and Isize. + +(** Shift left *) +Definition u8_shl {ty} := @scalar_shl U8 ty. +Definition u16_shl {ty} := @scalar_shl U16 ty. +Definition u32_shl {ty} := @scalar_shl U32 ty. +Definition u64_shl {ty} := @scalar_shl U64 ty. +Definition u128_shl {ty} := @scalar_shl U128 ty. +Definition usize_shl {ty} := @scalar_shl Usize ty. +Definition i8_shl {ty} := @scalar_shl I8 ty. +Definition i16_shl {ty} := @scalar_shl I16 ty. +Definition i32_shl {ty} := @scalar_shl I32 ty. +Definition i64_shl {ty} := @scalar_shl I64 ty. +Definition i128_shl {ty} := @scalar_shl I128 ty. +Definition isize_shl {ty} := @scalar_shl Isize ty. + +(** Shift right *) +Definition u8_shr {ty} := @scalar_shr U8 ty. +Definition u16_shr {ty} := @scalar_shr U16 ty. +Definition u32_shr {ty} := @scalar_shr U32 ty. +Definition u64_shr {ty} := @scalar_shr U64 ty. +Definition u128_shr {ty} := @scalar_shr U128 ty. +Definition usize_shr {ty} := @scalar_shr Usize ty. +Definition i8_shr {ty} := @scalar_shr I8 ty. +Definition i16_shr {ty} := @scalar_shr I16 ty. +Definition i32_shr {ty} := @scalar_shr I32 ty. +Definition i64_shr {ty} := @scalar_shr I64 ty. +Definition i128_shr {ty} := @scalar_shr I128 ty. +Definition isize_shr {ty} := @scalar_shr Isize ty. + (** Small utility *) Definition usize_to_nat (x: usize) : nat := Z.to_nat (to_Z x). @@ -394,12 +472,89 @@ Notation "x s< y" := (scalar_ltb x y) (at level 80) : Primitives_scope. Notation "x s>= y" := (scalar_geb x y) (at level 80) : Primitives_scope. Notation "x s> y" := (scalar_gtb x y) (at level 80) : Primitives_scope. -(*** Range *) -Record range (T : Type) := mk_range { - start: T; - end_: T; +(** Constants *) +Definition core_u8_max := u8_max %u32. +Definition core_u16_max := u16_max %u32. +Definition core_u32_max := u32_max %u32. +Definition core_u64_max := u64_max %u64. +Definition core_u128_max := u64_max %u128. +Axiom core_usize_max : usize. (** TODO *) +Definition core_i8_max := i8_max %i32. +Definition core_i16_max := i16_max %i32. +Definition core_i32_max := i32_max %i32. +Definition core_i64_max := i64_max %i64. +Definition core_i128_max := i64_max %i128. +Axiom core_isize_max : isize. (** TODO *) + +(*** core::ops *) + +(* Trait declaration: [core::ops::index::Index] *) +Record core_ops_index_Index (Self Idx : Type) := mk_core_ops_index_Index { + core_ops_index_Index_Output : Type; + core_ops_index_Index_index : Self -> Idx -> result core_ops_index_Index_Output; +}. +Arguments mk_core_ops_index_Index {_ _}. +Arguments core_ops_index_Index_Output {_ _}. +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; +}. +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 { + core_ops_deref_Deref_target : Type; + core_ops_deref_Deref_deref : Self -> result core_ops_deref_Deref_target; }. -Arguments mk_range {_}. +Arguments mk_core_ops_deref_Deref {_}. +Arguments core_ops_deref_Deref_target {_}. +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; +}. +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; + core_ops_range_Range_end_ : T; +}. +Arguments mk_core_ops_range_Range {_}. +Arguments core_ops_range_Range_start {_}. +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. + +(* Trait instance *) +Definition alloc_boxed_Box_coreopsDerefInst (Self : Type) : core_ops_deref_Deref Self := {| + core_ops_deref_Deref_target := Self; + core_ops_deref_Deref_deref := alloc_boxed_Box_deref Self; +|}. + +(* Trait instance *) +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; +|}. + (*** Arrays *) Definition array T (n : usize) := { l: list T | Z.of_nat (length l) = to_Z n}. @@ -419,51 +574,50 @@ Qed. (* TODO: finish the definitions *) Axiom mk_array : forall (T : Type) (n : usize) (l : list T), array T n. -Axiom array_index_shared : forall (T : Type) (n : usize) (x : array T n) (i : usize), result T. -Axiom array_index_mut_fwd : forall (T : Type) (n : usize) (x : array T n) (i : usize), result T. -Axiom array_index_mut_back : forall (T : Type) (n : usize) (x : array T n) (i : usize) (nx : T), result (array T n). +(* For initialization *) +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). (*** Slice *) Definition slice T := { l: list T | Z.of_nat (length l) <= usize_max}. Axiom slice_len : forall (T : Type) (s : slice T), usize. -Axiom slice_index_shared : forall (T : Type) (x : slice T) (i : usize), result T. -Axiom slice_index_mut_fwd : forall (T : Type) (x : slice T) (i : usize), result T. -Axiom slice_index_mut_back : forall (T : Type) (x : slice T) (i : usize) (nx : T), result (slice T). +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). (*** Subslices *) -Axiom array_to_slice_shared : forall (T : Type) (n : usize) (x : array T n), result (slice T). -Axiom array_to_slice_mut_fwd : forall (T : Type) (n : usize) (x : array T n), result (slice T). -Axiom array_to_slice_mut_back : forall (T : Type) (n : usize) (x : array T n) (s : slice T), result (array T n). +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). -Axiom array_subslice_shared: forall (T : Type) (n : usize) (x : array T n) (r : range usize), result (slice T). -Axiom array_subslice_mut_fwd: forall (T : Type) (n : usize) (x : array T n) (r : range usize), result (slice T). -Axiom array_subslice_mut_back: forall (T : Type) (n : usize) (x : array T n) (r : range usize) (ns : slice T), result (array T n). -Axiom slice_subslice_shared: forall (T : Type) (x : slice T) (r : range usize), result (slice T). -Axiom slice_subslice_mut_fwd: forall (T : Type) (x : slice T) (r : range usize), result (slice T). -Axiom slice_subslice_mut_back: forall (T : Type) (x : slice T) (r : range usize) (ns : slice T), result (slice T). +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). + +Axiom slice_subslice: forall (T : Type) (x : slice T) (r : core_ops_range_Range usize), result (slice T). +Axiom slice_update_subslice: forall (T : Type) (x : slice T) (r : core_ops_range_Range usize) (ns : slice T), result (slice T). (*** Vectors *) -Definition vec T := { l: list T | Z.of_nat (length l) <= usize_max }. +Definition alloc_vec_Vec T := { l: list T | Z.of_nat (length l) <= usize_max }. -Definition vec_to_list {T: Type} (v: vec T) : list T := proj1_sig v. +Definition alloc_vec_Vec_to_list {T: Type} (v: alloc_vec_Vec T) : list T := proj1_sig v. -Definition vec_length {T: Type} (v: vec T) : Z := Z.of_nat (length (vec_to_list v)). +Definition alloc_vec_Vec_length {T: Type} (v: alloc_vec_Vec T) : Z := Z.of_nat (length (alloc_vec_Vec_to_list v)). -Definition vec_new (T: Type) : vec T := (exist _ [] le_0_usize_max). +Definition alloc_vec_Vec_new (T: Type) : alloc_vec_Vec T := (exist _ [] le_0_usize_max). -Lemma vec_len_in_usize {T} (v: vec T) : usize_min <= vec_length v <= usize_max. +Lemma alloc_vec_Vec_len_in_usize {T} (v: alloc_vec_Vec T) : usize_min <= alloc_vec_Vec_length v <= usize_max. Proof. - unfold vec_length, usize_min. + unfold alloc_vec_Vec_length, usize_min. split. - lia. - apply (proj2_sig v). Qed. -Definition vec_len (T: Type) (v: vec T) : usize := - exist _ (vec_length v) (vec_len_in_usize v). +Definition alloc_vec_Vec_len (T: Type) (v: alloc_vec_Vec T) : usize := + exist _ (alloc_vec_Vec_length v) (alloc_vec_Vec_len_in_usize v). Fixpoint list_update {A} (l: list A) (n: nat) (a: A) : list A := @@ -474,50 +628,279 @@ Fixpoint list_update {A} (l: list A) (n: nat) (a: A) | S m => x :: (list_update t m a) end end. -Definition vec_bind {A B} (v: vec A) (f: list A -> result (list B)) : result (vec B) := - l <- f (vec_to_list v) ; +Definition alloc_vec_Vec_bind {A B} (v: alloc_vec_Vec A) (f: list A -> result (list B)) : result (alloc_vec_Vec B) := + l <- f (alloc_vec_Vec_to_list v) ; match sumbool_of_bool (scalar_le_max Usize (Z.of_nat (length l))) with | left H => Return (exist _ l (scalar_le_max_valid _ _ H)) | right _ => Fail_ Failure end. (* The **forward** function shouldn't be used *) -Definition vec_push_fwd (T: Type) (v: vec T) (x: T) : unit := tt. +Definition alloc_vec_Vec_push_fwd (T: Type) (v: alloc_vec_Vec T) (x: T) : unit := tt. -Definition vec_push_back (T: Type) (v: vec T) (x: T) : result (vec T) := - vec_bind v (fun l => Return (l ++ [x])). +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 vec_insert_fwd (T: Type) (v: vec T) (i: usize) (x: T) : result unit := - if to_Z i <? vec_length v then Return tt else Fail_ Failure. +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 vec_insert_back (T: Type) (v: vec T) (i: usize) (x: T) : result (vec T) := - vec_bind v (fun l => +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) then Return (list_update l (usize_to_nat i) x) else Fail_ Failure). -(* The **backward** function shouldn't be used *) -Definition vec_index_fwd (T: Type) (v: vec T) (i: usize) : result T := - match nth_error (vec_to_list v) (usize_to_nat i) with - | Some n => Return n - | None => Fail_ Failure - end. - -Definition vec_index_back (T: Type) (v: vec T) (i: usize) (x: T) : result unit := - if to_Z i <? vec_length v then Return tt else Fail_ Failure. - -(* The **backward** function shouldn't be used *) -Definition vec_index_mut_fwd (T: Type) (v: vec T) (i: usize) : result T := - match nth_error (vec_to_list v) (usize_to_nat i) with - | Some n => Return n - | None => Fail_ Failure +(* Helper *) +Axiom alloc_vec_Vec_index_usize : forall {T : Type} (v : alloc_vec_Vec T) (i : usize), result T. + +(* Helper *) +Axiom alloc_vec_Vec_update_usize : forall {T : Type} (v : alloc_vec_Vec T) (i : usize) (x : T), result (alloc_vec_Vec T). + +(* Trait declaration: [core::slice::index::private_slice_index::Sealed] *) +Definition core_slice_index_private_slice_index_Sealed (self : Type) := unit. + +(* Trait declaration: [core::slice::index::SliceIndex] *) +Record core_slice_index_SliceIndex (Self T : Type) := mk_core_slice_index_SliceIndex { + 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_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; +}. +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 + (T Idx : Type) (inst : core_slice_index_SliceIndex Idx (slice T)) + (s : slice T) (i : Idx) : result inst.(core_slice_index_SliceIndex_Output) := + x <- inst.(core_slice_index_SliceIndex_get) i s; + match x with + | None => Fail_ Failure + | Some x => Return x end. -Definition vec_index_mut_back (T: Type) (v: vec T) (i: usize) (x: T) : result (vec T) := - vec_bind v (fun l => - if to_Z i <? Z.of_nat (length l) - then Return (list_update l (usize_to_nat i) x) - else Fail_ Failure). +(* [core::slice::index::Range:::get]: forward function *) +Axiom core_slice_index_RangeUsize_get : forall (T : Type) (i : core_ops_range_Range usize) (s : slice T), result (option (slice T)). + +(* [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). + +(* [core::slice::index::Range::get_unchecked]: forward function *) +Definition core_slice_index_RangeUsize_get_unchecked + (T : Type) : + 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 *) +Definition core_slice_index_RangeUsize_get_unchecked_mut + (T : Type) : + 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 *) +Axiom core_slice_index_RangeUsize_index : + forall (T : Type), core_ops_range_Range usize -> slice T -> result (slice T). + +(* [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). + +(* [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). + +(* [core::array::[T; N]::index]: forward function *) +Axiom core_array_Array_index : + forall (T Idx : Type) (N : usize) (inst : core_ops_index_Index (slice T) Idx) + (a : array T N) (i : Idx), result inst.(core_ops_index_Index_Output). + +(* [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). + +(* Trait implementation: [core::slice::index::private_slice_index::Range] *) +Definition core_slice_index_private_slice_index_SealedRangeUsizeInst + : core_slice_index_private_slice_index_Sealed (core_ops_range_Range usize) := tt. + +(* Trait implementation: [core::slice::index::Range] *) +Definition core_slice_index_SliceIndexRangeUsizeSliceTInst (T : Type) : + core_slice_index_SliceIndex (core_ops_range_Range usize) (slice T) := {| + core_slice_index_SliceIndex_sealedInst := core_slice_index_private_slice_index_SealedRangeUsizeInst; + 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]] *) +Definition core_ops_index_IndexSliceTIInst (T Idx : Type) + (inst : core_slice_index_SliceIndex Idx (slice T)) : + core_ops_index_Index (slice T) Idx := {| + core_ops_index_Index_Output := inst.(core_slice_index_SliceIndex_Output); + core_ops_index_Index_index := core_slice_index_Slice_index T Idx inst; +|}. + +(* Trait implementation: [core::slice::index::[T]] *) +Definition core_ops_index_IndexMutSliceTIInst (T Idx : Type) + (inst : core_slice_index_SliceIndex Idx (slice T)) : + 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]] *) +Definition core_ops_index_IndexArrayInst (T Idx : Type) (N : usize) + (inst : core_ops_index_Index (slice T) Idx) : + core_ops_index_Index (array T N) Idx := {| + core_ops_index_Index_Output := inst.(core_ops_index_Index_Output); + core_ops_index_Index_index := core_array_Array_index T Idx N inst; +|}. + +(* Trait implementation: [core::array::[T; N]] *) +Definition core_ops_index_IndexMutArrayInst (T Idx : Type) (N : usize) + (inst : core_ops_index_IndexMut (slice T) Idx) : + 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). + +(* [core::slice::index::usize::get_unchecked]: forward function *) +Axiom core_slice_index_usize_get_unchecked : + forall (T : Type), usize -> const_raw_ptr (slice T) -> result (const_raw_ptr T). + +(* [core::slice::index::usize::get_unchecked_mut]: forward function *) +Axiom core_slice_index_usize_get_unchecked_mut : + forall (T : Type), usize -> mut_raw_ptr (slice T) -> result (mut_raw_ptr T). + +(* [core::slice::index::usize::index]: forward function *) +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). + +(* Trait implementation: [core::slice::index::private_slice_index::usize] *) +Definition core_slice_index_private_slice_index_SealedUsizeInst + : core_slice_index_private_slice_index_Sealed usize := tt. + +(* Trait implementation: [core::slice::index::usize] *) +Definition core_slice_index_SliceIndexUsizeSliceTInst (T : Type) : + core_slice_index_SliceIndex usize (slice T) := {| + core_slice_index_SliceIndex_sealedInst := core_slice_index_private_slice_index_SealedUsizeInst; + 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 *) +Axiom alloc_vec_Vec_index : 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]: 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). + +(* Trait implementation: [alloc::vec::Vec] *) +Definition alloc_vec_Vec_coreopsindexIndexInst (T Idx : Type) + (inst : core_slice_index_SliceIndex Idx (slice T)) : + core_ops_index_Index (alloc_vec_Vec T) Idx := {| + core_ops_index_Index_Output := inst.(core_slice_index_SliceIndex_Output); + core_ops_index_Index_index := alloc_vec_Vec_index T Idx inst; +|}. + +(* Trait implementation: [alloc::vec::Vec] *) +Definition alloc_vec_Vec_coreopsindexIndexMutInst (T Idx : Type) + (inst : core_slice_index_SliceIndex Idx (slice T)) : + 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 *) + +Axiom alloc_vec_Vec_index_eq : forall {a : Type} (v : alloc_vec_Vec a) (i : usize) (x : a), + alloc_vec_Vec_index a usize (core_slice_index_SliceIndexUsizeSliceTInst a) v i = + alloc_vec_Vec_index_usize v i. + +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. End Primitives. diff --git a/tests/coq/array/_CoqProject b/tests/coq/array/_CoqProject index f33cefe6..87d8fc3d 100644 --- a/tests/coq/array/_CoqProject +++ b/tests/coq/array/_CoqProject @@ -3,6 +3,5 @@ -arg -w -arg all -Array_Funs.v Primitives.v -Array_Types.v +Array.v diff --git a/tests/coq/betree/BetreeMain_Funs.v b/tests/coq/betree/BetreeMain_Funs.v index 1e457433..a5dd4230 100644 --- a/tests/coq/betree/BetreeMain_Funs.v +++ b/tests/coq/betree/BetreeMain_Funs.v @@ -6,1193 +6,1228 @@ Require Import Coq.ZArith.ZArith. Require Import List. Import ListNotations. Local Open Scope Primitives_scope. -Require Export BetreeMain_Types. -Import BetreeMain_Types. -Require Export BetreeMain_Opaque. -Import BetreeMain_Opaque. +Require Import BetreeMain_Types. +Include BetreeMain_Types. +Require Import BetreeMain_FunsExternal. +Include BetreeMain_FunsExternal. Module BetreeMain_Funs. -(** [betree_main::betree::load_internal_node]: forward function *) -Definition betree_load_internal_node_fwd +(** [betree_main::betree::load_internal_node]: forward function + Source: 'src/betree.rs', lines 36:0-36:52 *) +Definition betree_load_internal_node (id : u64) (st : state) : - result (state * (Betree_list_t (u64 * Betree_message_t))) + result (state * (betree_List_t (u64 * betree_Message_t))) := - betree_utils_load_internal_node_fwd id st + betree_utils_load_internal_node id st . -(** [betree_main::betree::store_internal_node]: forward function *) -Definition betree_store_internal_node_fwd - (id : u64) (content : Betree_list_t (u64 * Betree_message_t)) (st : state) : +(** [betree_main::betree::store_internal_node]: forward function + 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_fwd id content st; + p <- betree_utils_store_internal_node id content st; let (st0, _) := p in Return (st0, tt) . -(** [betree_main::betree::load_leaf_node]: forward function *) -Definition betree_load_leaf_node_fwd - (id : u64) (st : state) : result (state * (Betree_list_t (u64 * u64))) := - betree_utils_load_leaf_node_fwd id st +(** [betree_main::betree::load_leaf_node]: forward function + 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 *) -Definition betree_store_leaf_node_fwd - (id : u64) (content : Betree_list_t (u64 * u64)) (st : state) : +(** [betree_main::betree::store_leaf_node]: forward function + 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_fwd id content st; + p <- betree_utils_store_leaf_node id content st; let (st0, _) := p in Return (st0, tt) . -(** [betree_main::betree::fresh_node_id]: forward function *) -Definition betree_fresh_node_id_fwd (counter : u64) : result u64 := +(** [betree_main::betree::fresh_node_id]: forward function + 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 . -(** [betree_main::betree::fresh_node_id]: backward function 0 *) +(** [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::NodeIdCounter::{0}::new]: forward function *) -Definition betree_node_id_counter_new_fwd : result Betree_node_id_counter_t := - Return {| Betree_node_id_counter_next_node_id := 0%u64 |} +(** [betree_main::betree::{betree_main::betree::NodeIdCounter}::new]: forward function + 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::NodeIdCounter::{0}::fresh_id]: forward function *) -Definition betree_node_id_counter_fresh_id_fwd - (self : Betree_node_id_counter_t) : result u64 := - _ <- u64_add self.(Betree_node_id_counter_next_node_id) 1%u64; - Return self.(Betree_node_id_counter_next_node_id) +(** [betree_main::betree::{betree_main::betree::NodeIdCounter}::fresh_id]: forward function + 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::NodeIdCounter::{0}::fresh_id]: backward function 0 *) -Definition betree_node_id_counter_fresh_id_back - (self : Betree_node_id_counter_t) : result Betree_node_id_counter_t := - i <- u64_add self.(Betree_node_id_counter_next_node_id) 1%u64; - Return {| Betree_node_id_counter_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 *) +Definition betree_NodeIdCounter_fresh_id_back + (self : betree_NodeIdCounter_t) : result betree_NodeIdCounter_t := + i <- u64_add self.(betree_NodeIdCounter_next_node_id) 1%u64; + Return {| betree_NodeIdCounter_next_node_id := i |} . -(** [core::num::u64::{9}::MAX] *) -Definition core_num_u64_max_body : result u64 := - Return 18446744073709551615%u64 -. -Definition core_num_u64_max_c : u64 := core_num_u64_max_body%global. - -(** [betree_main::betree::upsert_update]: forward function *) -Definition betree_upsert_update_fwd - (prev : option u64) (st : Betree_upsert_fun_state_t) : result u64 := +(** [betree_main::betree::upsert_update]: forward function + Source: 'src/betree.rs', lines 234:0-234:70 *) +Definition betree_upsert_update + (prev : option u64) (st : betree_UpsertFunState_t) : result u64 := match prev with | None => match st with - | BetreeUpsertFunStateAdd v => Return v - | BetreeUpsertFunStateSub i => Return 0%u64 + | Betree_UpsertFunState_Add v => Return v + | Betree_UpsertFunState_Sub i => Return 0%u64 end | Some prev0 => match st with - | BetreeUpsertFunStateAdd v => - margin <- u64_sub core_num_u64_max_c prev0; - if margin s>= v then u64_add prev0 v else Return core_num_u64_max_c - | BetreeUpsertFunStateSub v => + | 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 + | Betree_UpsertFunState_Sub v => if prev0 s>= v then u64_sub prev0 v else Return 0%u64 end end . -(** [betree_main::betree::List::{1}::len]: forward function *) -Fixpoint betree_list_len_fwd - (T : Type) (n : nat) (self : Betree_list_t T) : result u64 := +(** [betree_main::betree::{betree_main::betree::List<T>#1}::len]: forward function + 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 => match self with - | BetreeListCons t tl => i <- betree_list_len_fwd T n0 tl; u64_add 1%u64 i - | BetreeListNil => Return 0%u64 + | Betree_List_Cons t tl => i <- betree_List_len T n0 tl; u64_add 1%u64 i + | Betree_List_Nil => Return 0%u64 end end . -(** [betree_main::betree::List::{1}::split_at]: forward function *) -Fixpoint betree_list_split_at_fwd - (T : Type) (n : nat) (self : Betree_list_t T) (n0 : u64) : - result ((Betree_list_t T) * (Betree_list_t T)) +(** [betree_main::betree::{betree_main::betree::List<T>#1}::split_at]: forward function + 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) : + result ((betree_List_t T) * (betree_List_t T)) := match n with | O => Fail_ OutOfFuel | S n1 => if n0 s= 0%u64 - then Return (BetreeListNil, self) + then Return (Betree_List_Nil, self) else match self with - | BetreeListCons hd tl => + | Betree_List_Cons hd tl => i <- u64_sub n0 1%u64; - p <- betree_list_split_at_fwd T n1 tl i; + p <- betree_List_split_at T n1 tl i; let (ls0, ls1) := p in let l := ls0 in - Return (BetreeListCons hd l, ls1) - | BetreeListNil => Fail_ Failure + Return (Betree_List_Cons hd l, ls1) + | Betree_List_Nil => Fail_ Failure end end . -(** [betree_main::betree::List::{1}::push_front]: merged forward/backward function - (there is a single backward function, and the forward function returns ()) *) -Definition betree_list_push_front_fwd_back - (T : Type) (self : Betree_list_t T) (x : T) : result (Betree_list_t T) := - let tl := mem_replace_fwd (Betree_list_t T) self BetreeListNil in +(** [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 *) +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 (BetreeListCons x l) + Return (Betree_List_Cons x l) . -(** [betree_main::betree::List::{1}::pop_front]: forward function *) -Definition betree_list_pop_front_fwd - (T : Type) (self : Betree_list_t T) : result T := - let ls := mem_replace_fwd (Betree_list_t T) self BetreeListNil in +(** [betree_main::betree::{betree_main::betree::List<T>#1}::pop_front]: forward function + 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 match ls with - | BetreeListCons x tl => Return x - | BetreeListNil => Fail_ Failure + | Betree_List_Cons x tl => Return x + | Betree_List_Nil => Fail_ Failure end . -(** [betree_main::betree::List::{1}::pop_front]: backward function 0 *) -Definition betree_list_pop_front_back - (T : Type) (self : Betree_list_t T) : result (Betree_list_t T) := - let ls := mem_replace_fwd (Betree_list_t T) self BetreeListNil in +(** [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 - | BetreeListCons x tl => Return tl - | BetreeListNil => Fail_ Failure + | Betree_List_Cons x tl => Return tl + | Betree_List_Nil => Fail_ Failure end . -(** [betree_main::betree::List::{1}::hd]: forward function *) -Definition betree_list_hd_fwd (T : Type) (self : Betree_list_t T) : result T := +(** [betree_main::betree::{betree_main::betree::List<T>#1}::hd]: forward function + 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 - | BetreeListCons hd l => Return hd - | BetreeListNil => Fail_ Failure + | Betree_List_Cons hd l => Return hd + | Betree_List_Nil => Fail_ Failure end . -(** [betree_main::betree::List::{2}::head_has_key]: forward function *) -Definition betree_list_head_has_key_fwd - (T : Type) (self : Betree_list_t (u64 * T)) (key : u64) : result bool := +(** [betree_main::betree::{betree_main::betree::List<(u64, T)>#2}::head_has_key]: forward function + 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 - | BetreeListCons hd l => let (i, _) := hd in Return (i s= key) - | BetreeListNil => Return false + | Betree_List_Cons hd l => let (i, _) := hd in Return (i s= key) + | Betree_List_Nil => Return false end . -(** [betree_main::betree::List::{2}::partition_at_pivot]: forward function *) -Fixpoint betree_list_partition_at_pivot_fwd - (T : Type) (n : nat) (self : Betree_list_t (u64 * T)) (pivot : u64) : - result ((Betree_list_t (u64 * T)) * (Betree_list_t (u64 * T))) +(** [betree_main::betree::{betree_main::betree::List<(u64, T)>#2}::partition_at_pivot]: forward function + 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) : + result ((betree_List_t (u64 * T)) * (betree_List_t (u64 * T))) := match n with | O => Fail_ OutOfFuel | S n0 => match self with - | BetreeListCons hd tl => + | Betree_List_Cons hd tl => let (i, t) := hd in if i s>= pivot - then Return (BetreeListNil, BetreeListCons (i, t) tl) + then Return (Betree_List_Nil, Betree_List_Cons (i, t) tl) else ( - p <- betree_list_partition_at_pivot_fwd T n0 tl pivot; + p <- betree_ListTupleU64T_partition_at_pivot T n0 tl pivot; let (ls0, ls1) := p in let l := ls0 in - Return (BetreeListCons (i, t) l, ls1)) - | BetreeListNil => Return (BetreeListNil, BetreeListNil) + Return (Betree_List_Cons (i, t) l, ls1)) + | Betree_List_Nil => Return (Betree_List_Nil, Betree_List_Nil) end end . -(** [betree_main::betree::Leaf::{3}::split]: forward function *) -Definition betree_leaf_split_fwd - (n : nat) (self : Betree_leaf_t) (content : Betree_list_t (u64 * u64)) - (params : Betree_params_t) (node_id_cnt : Betree_node_id_counter_t) +(** [betree_main::betree::{betree_main::betree::Leaf#3}::split]: forward function + 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) := p <- - betree_list_split_at_fwd (u64 * u64) n content - params.(Betree_params_split_size); + betree_List_split_at (u64 * u64) n content + params.(betree_Params_split_size); let (content0, content1) := p in - p0 <- betree_list_hd_fwd (u64 * u64) content1; + p0 <- betree_List_hd (u64 * u64) content1; let (pivot, _) := p0 in - id0 <- betree_node_id_counter_fresh_id_fwd node_id_cnt; - node_id_cnt0 <- betree_node_id_counter_fresh_id_back node_id_cnt; - id1 <- betree_node_id_counter_fresh_id_fwd node_id_cnt0; - p1 <- betree_store_leaf_node_fwd id0 content0 st; + 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_fwd id1 content1 st0; + p2 <- betree_store_leaf_node id1 content1 st0; let (st1, _) := p2 in - let n0 := BetreeNodeLeaf + let n0 := Betree_Node_Leaf {| - Betree_leaf_id := id0; - Betree_leaf_size := params.(Betree_params_split_size) + betree_Leaf_id := id0; + betree_Leaf_size := params.(betree_Params_split_size) |} in - let n1 := BetreeNodeLeaf + let n1 := Betree_Node_Leaf {| - Betree_leaf_id := id1; - Betree_leaf_size := params.(Betree_params_split_size) + 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 (st1, mkbetree_Internal_t self.(betree_Leaf_id) pivot n0 n1) . -(** [betree_main::betree::Leaf::{3}::split]: backward function 2 *) -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_node_id_counter_t) +(** [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_node_id_counter_t + result betree_NodeIdCounter_t := p <- - betree_list_split_at_fwd (u64 * u64) n content - params.(Betree_params_split_size); + betree_List_split_at (u64 * u64) n content + params.(betree_Params_split_size); let (content0, content1) := p in - _ <- betree_list_hd_fwd (u64 * u64) content1; - id0 <- betree_node_id_counter_fresh_id_fwd node_id_cnt; - node_id_cnt0 <- betree_node_id_counter_fresh_id_back node_id_cnt; - id1 <- betree_node_id_counter_fresh_id_fwd node_id_cnt0; - p0 <- betree_store_leaf_node_fwd id0 content0 st; + _ <- 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_fwd id1 content1 st0; - betree_node_id_counter_fresh_id_back node_id_cnt0 + _ <- betree_store_leaf_node id1 content1 st0; + betree_NodeIdCounter_fresh_id_back node_id_cnt0 . -(** [betree_main::betree::Node::{5}::lookup_first_message_for_key]: forward function *) -Fixpoint betree_node_lookup_first_message_for_key_fwd - (n : nat) (key : u64) (msgs : Betree_list_t (u64 * Betree_message_t)) : - result (Betree_list_t (u64 * Betree_message_t)) +(** [betree_main::betree::{betree_main::betree::Node#5}::lookup_first_message_for_key]: forward function + 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 - | BetreeListCons x next_msgs => + | Betree_List_Cons x next_msgs => let (i, m) := x in if i s>= key - then Return (BetreeListCons (i, m) next_msgs) - else betree_node_lookup_first_message_for_key_fwd n0 key next_msgs - | BetreeListNil => Return BetreeListNil + 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::Node::{5}::lookup_first_message_for_key]: backward function 0 *) -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)) +(** [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)) := match n with | O => Fail_ OutOfFuel | S n0 => match msgs with - | BetreeListCons x next_msgs => + | Betree_List_Cons x next_msgs => let (i, m) := x in if i s>= key then Return ret else ( next_msgs0 <- - betree_node_lookup_first_message_for_key_back n0 key next_msgs ret; - Return (BetreeListCons (i, m) next_msgs0)) - | BetreeListNil => Return ret + 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 + end + end +. + +(** [betree_main::betree::{betree_main::betree::Node#5}::lookup_in_bindings]: forward function + 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)) : + result (option 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 (Some i0) + else + if i s> key + then Return None + else betree_Node_lookup_in_bindings n0 key tl + | Betree_List_Nil => Return None end end . -(** [betree_main::betree::Node::{5}::apply_upserts]: forward function *) -Fixpoint betree_node_apply_upserts_fwd - (n : nat) (msgs : Betree_list_t (u64 * Betree_message_t)) (prev : option u64) +(** [betree_main::betree::{betree_main::betree::Node#5}::apply_upserts]: forward function + 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) := match n with | O => Fail_ OutOfFuel | S n0 => - b <- betree_list_head_has_key_fwd Betree_message_t msgs key; + b <- betree_ListTupleU64T_head_has_key betree_Message_t msgs key; if b then ( - msg <- betree_list_pop_front_fwd (u64 * Betree_message_t) msgs; + msg <- betree_List_pop_front (u64 * betree_Message_t) msgs; let (_, m) := msg in match m with - | BetreeMessageInsert i => Fail_ Failure - | BetreeMessageDelete => Fail_ Failure - | BetreeMessageUpsert s => - v <- betree_upsert_update_fwd prev s; - msgs0 <- betree_list_pop_front_back (u64 * Betree_message_t) msgs; - betree_node_apply_upserts_fwd n0 msgs0 (Some v) key st + | 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 n0 msgs0 (Some v) key st end) else ( - p <- core_option_option_unwrap_fwd u64 prev st; + p <- core_option_Option_unwrap u64 prev st; let (st0, v) := p in _ <- - betree_list_push_front_fwd_back (u64 * Betree_message_t) msgs (key, - BetreeMessageInsert v); + betree_List_push_front (u64 * betree_Message_t) msgs (key, + Betree_Message_Insert v); Return (st0, v)) end . -(** [betree_main::betree::Node::{5}::apply_upserts]: backward function 0 *) -Fixpoint betree_node_apply_upserts_back - (n : nat) (msgs : Betree_list_t (u64 * Betree_message_t)) (prev : option u64) +(** [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)) + result (betree_List_t (u64 * betree_Message_t)) := match n with | O => Fail_ OutOfFuel | S n0 => - b <- betree_list_head_has_key_fwd Betree_message_t msgs key; + b <- betree_ListTupleU64T_head_has_key betree_Message_t msgs key; if b then ( - msg <- betree_list_pop_front_fwd (u64 * Betree_message_t) msgs; + msg <- betree_List_pop_front (u64 * betree_Message_t) msgs; let (_, m) := msg in match m with - | BetreeMessageInsert i => Fail_ Failure - | BetreeMessageDelete => Fail_ Failure - | BetreeMessageUpsert s => - v <- betree_upsert_update_fwd prev s; - msgs0 <- betree_list_pop_front_back (u64 * Betree_message_t) msgs; - betree_node_apply_upserts_back n0 msgs0 (Some v) key st + | 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_fwd u64 prev st; + p <- core_option_Option_unwrap u64 prev st; let (_, v) := p in - betree_list_push_front_fwd_back (u64 * Betree_message_t) msgs (key, - BetreeMessageInsert v)) + betree_List_push_front (u64 * betree_Message_t) msgs (key, + Betree_Message_Insert v)) end . -(** [betree_main::betree::Node::{5}::lookup_in_bindings]: forward function *) -Fixpoint betree_node_lookup_in_bindings_fwd - (n : nat) (key : u64) (bindings : Betree_list_t (u64 * u64)) : - result (option u64) - := - match n with - | O => Fail_ OutOfFuel - | S n0 => - match bindings with - | BetreeListCons hd tl => - let (i, i0) := hd in - if i s= key - then Return (Some i0) - else - if i s> key - then Return None - else betree_node_lookup_in_bindings_fwd n0 key tl - | BetreeListNil => Return None - end - end -. - -(** [betree_main::betree::Internal::{4}::lookup_in_children]: forward function *) -Fixpoint betree_internal_lookup_in_children_fwd - (n : nat) (self : Betree_internal_t) (key : u64) (st : state) : +(** [betree_main::betree::{betree_main::betree::Internal#4}::lookup_in_children]: forward function + 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_fwd n0 self.(Betree_internal_left) key st - else betree_node_lookup_fwd n0 self.(Betree_internal_right) key st + 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::Internal::{4}::lookup_in_children]: backward function 0 *) -with betree_internal_lookup_in_children_back - (n : nat) (self : Betree_internal_t) (key : u64) (st : state) : - result Betree_internal_t +(** [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 := match n with | O => Fail_ OutOfFuel | S n0 => - if key s< self.(Betree_internal_pivot) + 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))) + 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))) 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)) + 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)) end -(** [betree_main::betree::Node::{5}::lookup]: forward function *) -with betree_node_lookup_fwd - (n : nat) (self : Betree_node_t) (key : u64) (st : state) : +(** [betree_main::betree::{betree_main::betree::Node#5}::lookup]: forward function + 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 - | BetreeNodeInternal node => - p <- betree_load_internal_node_fwd node.(Betree_internal_id) st; + | 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_fwd n0 key msgs; + pending <- betree_Node_lookup_first_message_for_key n0 key msgs; match pending with - | BetreeListCons p0 l => + | Betree_List_Cons p0 l => let (k, msg) := p0 in if k s<> key then ( - p1 <- betree_internal_lookup_in_children_fwd n0 node key st0; - let (st1, opt) := p1 in + 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 - (BetreeListCons (k, msg) l); - Return (st1, opt)) + betree_Node_lookup_first_message_for_key_back n0 key msgs + (Betree_List_Cons (k, msg) l); + Return (st1, o)) else match msg with - | BetreeMessageInsert v => + | Betree_Message_Insert v => _ <- - betree_node_lookup_first_message_for_key_back n0 key msgs - (BetreeListCons (k, BetreeMessageInsert v) l); + betree_Node_lookup_first_message_for_key_back n0 key msgs + (Betree_List_Cons (k, Betree_Message_Insert v) l); Return (st0, Some v) - | BetreeMessageDelete => + | Betree_Message_Delete => _ <- - betree_node_lookup_first_message_for_key_back n0 key msgs - (BetreeListCons (k, BetreeMessageDelete) l); + betree_Node_lookup_first_message_for_key_back n0 key msgs + (Betree_List_Cons (k, Betree_Message_Delete) l); Return (st0, None) - | BetreeMessageUpsert ufs => - p1 <- betree_internal_lookup_in_children_fwd n0 node key st0; + | Betree_Message_Upsert ufs => + p1 <- betree_Internal_lookup_in_children n0 node key st0; let (st1, v) := p1 in p2 <- - betree_node_apply_upserts_fwd n0 (BetreeListCons (k, - BetreeMessageUpsert ufs) l) v key st1; + 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; + node0 <- betree_Internal_lookup_in_children_back n0 node key st0; pending0 <- - betree_node_apply_upserts_back n0 (BetreeListCons (k, - BetreeMessageUpsert ufs) l) v key st1; + 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 + betree_Node_lookup_first_message_for_key_back n0 key msgs pending0; p3 <- - betree_store_internal_node_fwd node0.(Betree_internal_id) msgs0 - st2; + betree_store_internal_node node0.(betree_Internal_id) msgs0 st2; let (st3, _) := p3 in Return (st3, Some v0) end - | BetreeListNil => - p0 <- betree_internal_lookup_in_children_fwd n0 node key st0; - let (st1, opt) := p0 in + | 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 - BetreeListNil; - Return (st1, opt) + betree_Node_lookup_first_message_for_key_back n0 key msgs + Betree_List_Nil; + Return (st1, o) end - | BetreeNodeLeaf node => - p <- betree_load_leaf_node_fwd node.(Betree_leaf_id) st; + | Betree_Node_Leaf node => + p <- betree_load_leaf_node node.(betree_Leaf_id) st; let (st0, bindings) := p in - opt <- betree_node_lookup_in_bindings_fwd n0 key bindings; - Return (st0, opt) + o <- betree_Node_lookup_in_bindings n0 key bindings; + Return (st0, o) end end -(** [betree_main::betree::Node::{5}::lookup]: backward function 0 *) -with betree_node_lookup_back - (n : nat) (self : Betree_node_t) (key : u64) (st : state) : - result Betree_node_t +(** [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 := match n with | O => Fail_ OutOfFuel | S n0 => match self with - | BetreeNodeInternal node => - p <- betree_load_internal_node_fwd node.(Betree_internal_id) st; + | 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_fwd n0 key msgs; + pending <- betree_Node_lookup_first_message_for_key n0 key msgs; match pending with - | BetreeListCons p0 l => + | Betree_List_Cons p0 l => let (k, msg) := p0 in if k s<> key then ( _ <- - betree_node_lookup_first_message_for_key_back n0 key msgs - (BetreeListCons (k, msg) l); - node0 <- betree_internal_lookup_in_children_back n0 node key st0; - Return (BetreeNodeInternal node0)) + 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)) else match msg with - | BetreeMessageInsert v => + | Betree_Message_Insert v => _ <- - betree_node_lookup_first_message_for_key_back n0 key msgs - (BetreeListCons (k, BetreeMessageInsert v) l); - Return (BetreeNodeInternal node) - | BetreeMessageDelete => + 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) + | Betree_Message_Delete => _ <- - betree_node_lookup_first_message_for_key_back n0 key msgs - (BetreeListCons (k, BetreeMessageDelete) l); - Return (BetreeNodeInternal node) - | BetreeMessageUpsert ufs => - p1 <- betree_internal_lookup_in_children_fwd n0 node key st0; + betree_Node_lookup_first_message_for_key_back n0 key msgs + (Betree_List_Cons (k, Betree_Message_Delete) l); + Return (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_fwd n0 (BetreeListCons (k, - BetreeMessageUpsert ufs) l) v key st1; + 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; + node0 <- betree_Internal_lookup_in_children_back n0 node key st0; pending0 <- - betree_node_apply_upserts_back n0 (BetreeListCons (k, - BetreeMessageUpsert ufs) l) v key st1; + 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 + betree_Node_lookup_first_message_for_key_back n0 key msgs pending0; _ <- - betree_store_internal_node_fwd node0.(Betree_internal_id) msgs0 - st2; - Return (BetreeNodeInternal node0) + betree_store_internal_node node0.(betree_Internal_id) msgs0 st2; + Return (Betree_Node_Internal node0) end - | BetreeListNil => + | Betree_List_Nil => _ <- - betree_node_lookup_first_message_for_key_back n0 key msgs - BetreeListNil; - node0 <- betree_internal_lookup_in_children_back n0 node key st0; - Return (BetreeNodeInternal node0) + 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) end - | BetreeNodeLeaf node => - p <- betree_load_leaf_node_fwd node.(Betree_leaf_id) st; + | Betree_Node_Leaf node => + p <- betree_load_leaf_node node.(betree_Leaf_id) st; let (_, bindings) := p in - _ <- betree_node_lookup_in_bindings_fwd n0 key bindings; - Return (BetreeNodeLeaf node) + _ <- betree_Node_lookup_in_bindings n0 key bindings; + Return (Betree_Node_Leaf node) end end . -(** [betree_main::betree::Node::{5}::filter_messages_for_key]: merged forward/backward function - (there is a single backward function, and the forward function returns ()) *) -Fixpoint betree_node_filter_messages_for_key_fwd_back - (n : nat) (key : u64) (msgs : Betree_list_t (u64 * Betree_message_t)) : - result (Betree_list_t (u64 * Betree_message_t)) +(** [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 *) +Fixpoint betree_Node_filter_messages_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 - | BetreeListCons p l => + | 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) (BetreeListCons + betree_List_pop_front_back (u64 * betree_Message_t) (Betree_List_Cons (k, m) l); - betree_node_filter_messages_for_key_fwd_back n0 key msgs0) - else Return (BetreeListCons (k, m) l) - | BetreeListNil => Return BetreeListNil + betree_Node_filter_messages_for_key n0 key msgs0) + else Return (Betree_List_Cons (k, m) l) + | Betree_List_Nil => Return Betree_List_Nil end end . -(** [betree_main::betree::Node::{5}::lookup_first_message_after_key]: forward function *) -Fixpoint betree_node_lookup_first_message_after_key_fwd - (n : nat) (key : u64) (msgs : Betree_list_t (u64 * Betree_message_t)) : - result (Betree_list_t (u64 * Betree_message_t)) +(** [betree_main::betree::{betree_main::betree::Node#5}::lookup_first_message_after_key]: forward function + 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 - | BetreeListCons p next_msgs => + | Betree_List_Cons p next_msgs => let (k, m) := p in if k s= key - then betree_node_lookup_first_message_after_key_fwd n0 key next_msgs - else Return (BetreeListCons (k, m) next_msgs) - | BetreeListNil => Return BetreeListNil + 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::Node::{5}::lookup_first_message_after_key]: backward function 0 *) -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)) +(** [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)) := match n with | O => Fail_ OutOfFuel | S n0 => match msgs with - | BetreeListCons p next_msgs => + | 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 (BetreeListCons (k, m) 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 - | BetreeListNil => Return ret + | Betree_List_Nil => Return ret end end . -(** [betree_main::betree::Node::{5}::apply_to_internal]: merged forward/backward function - (there is a single backward function, and the forward function returns ()) *) -Definition betree_node_apply_to_internal_fwd_back - (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)) +(** [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 *) +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_fwd n key msgs; - b <- betree_list_head_has_key_fwd Betree_message_t msgs0 key; + msgs0 <- betree_Node_lookup_first_message_for_key n key msgs; + b <- betree_ListTupleU64T_head_has_key betree_Message_t msgs0 key; if b then match new_msg with - | BetreeMessageInsert i => - msgs1 <- betree_node_filter_messages_for_key_fwd_back n key msgs0; + | Betree_Message_Insert i => + msgs1 <- betree_Node_filter_messages_for_key n key msgs0; msgs2 <- - betree_list_push_front_fwd_back (u64 * Betree_message_t) msgs1 (key, - BetreeMessageInsert i); - betree_node_lookup_first_message_for_key_back n key msgs msgs2 - | BetreeMessageDelete => - msgs1 <- betree_node_filter_messages_for_key_fwd_back n key msgs0; + betree_List_push_front (u64 * betree_Message_t) msgs1 (key, + Betree_Message_Insert i); + betree_Node_lookup_first_message_for_key_back n key msgs msgs2 + | Betree_Message_Delete => + msgs1 <- betree_Node_filter_messages_for_key n key msgs0; msgs2 <- - betree_list_push_front_fwd_back (u64 * Betree_message_t) msgs1 (key, - BetreeMessageDelete); - betree_node_lookup_first_message_for_key_back n key msgs msgs2 - | BetreeMessageUpsert s => - p <- betree_list_hd_fwd (u64 * Betree_message_t) msgs0; + betree_List_push_front (u64 * betree_Message_t) msgs1 (key, + Betree_Message_Delete); + betree_Node_lookup_first_message_for_key_back n key msgs msgs2 + | Betree_Message_Upsert s => + p <- betree_List_hd (u64 * betree_Message_t) msgs0; let (_, m) := p in match m with - | BetreeMessageInsert prev => - v <- betree_upsert_update_fwd (Some prev) s; - msgs1 <- betree_list_pop_front_back (u64 * Betree_message_t) msgs0; + | 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_fwd_back (u64 * Betree_message_t) msgs1 (key, - BetreeMessageInsert v); - betree_node_lookup_first_message_for_key_back n key msgs msgs2 - | BetreeMessageDelete => - v <- betree_upsert_update_fwd None s; - msgs1 <- betree_list_pop_front_back (u64 * Betree_message_t) msgs0; + betree_List_push_front (u64 * betree_Message_t) msgs1 (key, + Betree_Message_Insert v); + betree_Node_lookup_first_message_for_key_back n key msgs msgs2 + | Betree_Message_Delete => + v <- betree_upsert_update None s; + msgs1 <- betree_List_pop_front_back (u64 * betree_Message_t) msgs0; msgs2 <- - betree_list_push_front_fwd_back (u64 * Betree_message_t) msgs1 (key, - BetreeMessageInsert v); - betree_node_lookup_first_message_for_key_back n key msgs msgs2 - | BetreeMessageUpsert ufs => - msgs1 <- betree_node_lookup_first_message_after_key_fwd n key msgs0; + betree_List_push_front (u64 * betree_Message_t) msgs1 (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_fwd_back (u64 * Betree_message_t) msgs1 (key, - BetreeMessageUpsert s); + betree_List_push_front (u64 * betree_Message_t) msgs1 (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 + betree_Node_lookup_first_message_after_key_back n key msgs0 msgs2; + betree_Node_lookup_first_message_for_key_back n key msgs msgs3 end end else ( msgs1 <- - betree_list_push_front_fwd_back (u64 * Betree_message_t) msgs0 (key, - new_msg); - betree_node_lookup_first_message_for_key_back n key msgs 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) . -(** [betree_main::betree::Node::{5}::apply_messages_to_internal]: merged forward/backward function - (there is a single backward function, and the forward function returns ()) *) -Fixpoint betree_node_apply_messages_to_internal_fwd_back - (n : nat) (msgs : Betree_list_t (u64 * Betree_message_t)) - (new_msgs : Betree_list_t (u64 * Betree_message_t)) : - result (Betree_list_t (u64 * Betree_message_t)) +(** [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 *) +Fixpoint betree_Node_apply_messages_to_internal + (n : nat) (msgs : betree_List_t (u64 * betree_Message_t)) + (new_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 new_msgs with - | BetreeListCons new_msg new_msgs_tl => + | Betree_List_Cons new_msg new_msgs_tl => let (i, m) := new_msg in - msgs0 <- betree_node_apply_to_internal_fwd_back n0 msgs i m; - betree_node_apply_messages_to_internal_fwd_back n0 msgs0 new_msgs_tl - | BetreeListNil => Return msgs + msgs0 <- betree_Node_apply_to_internal n0 msgs i m; + betree_Node_apply_messages_to_internal n0 msgs0 new_msgs_tl + | Betree_List_Nil => Return msgs end end . -(** [betree_main::betree::Node::{5}::lookup_mut_in_bindings]: forward function *) -Fixpoint betree_node_lookup_mut_in_bindings_fwd - (n : nat) (key : u64) (bindings : Betree_list_t (u64 * u64)) : - result (Betree_list_t (u64 * u64)) +(** [betree_main::betree::{betree_main::betree::Node#5}::lookup_mut_in_bindings]: forward function + 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 - | BetreeListCons hd tl => + | Betree_List_Cons hd tl => let (i, i0) := hd in if i s>= key - then Return (BetreeListCons (i, i0) tl) - else betree_node_lookup_mut_in_bindings_fwd n0 key tl - | BetreeListNil => Return BetreeListNil + 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::Node::{5}::lookup_mut_in_bindings]: backward function 0 *) -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)) +(** [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)) := match n with | O => Fail_ OutOfFuel | S n0 => match bindings with - | BetreeListCons hd tl => + | Betree_List_Cons hd tl => let (i, i0) := hd in if i s>= key then Return ret else ( - tl0 <- betree_node_lookup_mut_in_bindings_back n0 key tl ret; - Return (BetreeListCons (i, i0) tl0)) - | BetreeListNil => Return ret + tl0 <- betree_Node_lookup_mut_in_bindings_back n0 key tl ret; + Return (Betree_List_Cons (i, i0) tl0)) + | Betree_List_Nil => Return ret end end . -(** [betree_main::betree::Node::{5}::apply_to_leaf]: merged forward/backward function - (there is a single backward function, and the forward function returns ()) *) -Definition betree_node_apply_to_leaf_fwd_back - (n : nat) (bindings : Betree_list_t (u64 * u64)) (key : u64) - (new_msg : Betree_message_t) : - result (Betree_list_t (u64 * u64)) +(** [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 *) +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_fwd n key bindings; - b <- betree_list_head_has_key_fwd u64 bindings0 key; + bindings0 <- betree_Node_lookup_mut_in_bindings n key bindings; + b <- betree_ListTupleU64T_head_has_key u64 bindings0 key; if b then ( - hd <- betree_list_pop_front_fwd (u64 * u64) bindings0; + hd <- betree_List_pop_front (u64 * u64) bindings0; match new_msg with - | BetreeMessageInsert v => - bindings1 <- betree_list_pop_front_back (u64 * u64) bindings0; - bindings2 <- - betree_list_push_front_fwd_back (u64 * u64) bindings1 (key, v); - betree_node_lookup_mut_in_bindings_back n key bindings bindings2 - | BetreeMessageDelete => - bindings1 <- betree_list_pop_front_back (u64 * u64) bindings0; - betree_node_lookup_mut_in_bindings_back n key bindings bindings1 - | BetreeMessageUpsert s => + | 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 + | Betree_Message_Upsert s => let (_, i) := hd in - v <- betree_upsert_update_fwd (Some i) s; - bindings1 <- betree_list_pop_front_back (u64 * u64) bindings0; - bindings2 <- - betree_list_push_front_fwd_back (u64 * u64) bindings1 (key, v); - betree_node_lookup_mut_in_bindings_back n key bindings bindings2 + 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 end) else match new_msg with - | BetreeMessageInsert v => - bindings1 <- - betree_list_push_front_fwd_back (u64 * u64) bindings0 (key, v); - betree_node_lookup_mut_in_bindings_back n key bindings bindings1 - | BetreeMessageDelete => - betree_node_lookup_mut_in_bindings_back n key bindings bindings0 - | BetreeMessageUpsert s => - v <- betree_upsert_update_fwd None s; - bindings1 <- - betree_list_push_front_fwd_back (u64 * u64) bindings0 (key, v); - betree_node_lookup_mut_in_bindings_back n key bindings bindings1 + | 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 + | 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 end . -(** [betree_main::betree::Node::{5}::apply_messages_to_leaf]: merged forward/backward function - (there is a single backward function, and the forward function returns ()) *) -Fixpoint betree_node_apply_messages_to_leaf_fwd_back - (n : nat) (bindings : Betree_list_t (u64 * u64)) - (new_msgs : Betree_list_t (u64 * Betree_message_t)) : - result (Betree_list_t (u64 * u64)) +(** [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 *) +Fixpoint betree_Node_apply_messages_to_leaf + (n : nat) (bindings : betree_List_t (u64 * u64)) + (new_msgs : betree_List_t (u64 * betree_Message_t)) : + result (betree_List_t (u64 * u64)) := match n with | O => Fail_ OutOfFuel | S n0 => match new_msgs with - | BetreeListCons new_msg new_msgs_tl => + | Betree_List_Cons new_msg new_msgs_tl => let (i, m) := new_msg in - bindings0 <- betree_node_apply_to_leaf_fwd_back n0 bindings i m; - betree_node_apply_messages_to_leaf_fwd_back n0 bindings0 new_msgs_tl - | BetreeListNil => Return bindings + bindings0 <- betree_Node_apply_to_leaf n0 bindings i m; + betree_Node_apply_messages_to_leaf n0 bindings0 new_msgs_tl + | Betree_List_Nil => Return bindings end end . -(** [betree_main::betree::Internal::{4}::flush]: forward function *) -Fixpoint betree_internal_flush_fwd - (n : nat) (self : Betree_internal_t) (params : Betree_params_t) - (node_id_cnt : Betree_node_id_counter_t) - (content : Betree_list_t (u64 * Betree_message_t)) (st : state) : - result (state * (Betree_list_t (u64 * Betree_message_t))) +(** [betree_main::betree::{betree_main::betree::Internal#4}::flush]: forward function + 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_list_partition_at_pivot_fwd Betree_message_t n0 content - self.(Betree_internal_pivot); + 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_fwd (u64 * Betree_message_t) n0 msgs_left; - if len_left s>= params.(Betree_params_min_flush_size) + 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_fwd n0 self.(Betree_internal_left) params + 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_back n0 self.(betree_Internal_left) params node_id_cnt msgs_left st; let (_, node_id_cnt0) := p1 in - len_right <- betree_list_len_fwd (u64 * Betree_message_t) n0 msgs_right; - if len_right s>= params.(Betree_params_min_flush_size) + 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_fwd n0 self.(Betree_internal_right) params + 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) + betree_Node_apply_messages_back n0 self.(betree_Internal_right) params node_id_cnt0 msgs_right st0; - Return (st1, BetreeListNil)) + Return (st1, Betree_List_Nil)) else Return (st0, msgs_right)) else ( p0 <- - betree_node_apply_messages_fwd n0 self.(Betree_internal_right) params + 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 + 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::Internal::{4}::flush]: backward function 0 *) -with betree_internal_flush_back - (n : nat) (self : Betree_internal_t) (params : Betree_params_t) - (node_id_cnt : Betree_node_id_counter_t) - (content : Betree_list_t (u64 * Betree_message_t)) (st : state) : - result (Betree_internal_t * Betree_node_id_counter_t) +(** [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) := match n with | O => Fail_ OutOfFuel | S n0 => p <- - betree_list_partition_at_pivot_fwd Betree_message_t n0 content - self.(Betree_internal_pivot); + 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_fwd (u64 * Betree_message_t) n0 msgs_left; - if len_left s>= params.(Betree_params_min_flush_size) + 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_fwd n0 self.(Betree_internal_left) params + 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_back n0 self.(betree_Internal_left) params node_id_cnt msgs_left st; let (n1, node_id_cnt0) := p1 in - len_right <- betree_list_len_fwd (u64 * Betree_message_t) n0 msgs_right; - if len_right s>= params.(Betree_params_min_flush_size) + 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_back n0 self.(Betree_internal_right) + 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)) + Return (mkbetree_Internal_t self.(betree_Internal_id) + self.(betree_Internal_pivot) n1 n2, node_id_cnt1)) else - Return (mkBetree_internal_t self.(Betree_internal_id) - self.(Betree_internal_pivot) n1 self.(Betree_internal_right), + Return (mkbetree_Internal_t self.(betree_Internal_id) + self.(betree_Internal_pivot) n1 self.(betree_Internal_right), node_id_cnt0)) else ( p0 <- - betree_node_apply_messages_back n0 self.(Betree_internal_right) params + betree_Node_apply_messages_back n0 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, + Return (mkbetree_Internal_t self.(betree_Internal_id) + self.(betree_Internal_pivot) self.(betree_Internal_left) n1, node_id_cnt0)) end -(** [betree_main::betree::Node::{5}::apply_messages]: forward function *) -with betree_node_apply_messages_fwd - (n : nat) (self : Betree_node_t) (params : Betree_params_t) - (node_id_cnt : Betree_node_id_counter_t) - (msgs : Betree_list_t (u64 * Betree_message_t)) (st : state) : +(** [betree_main::betree::{betree_main::betree::Node#5}::apply_messages]: forward function + 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) := match n with | O => Fail_ OutOfFuel | S n0 => match self with - | BetreeNodeInternal node => - p <- betree_load_internal_node_fwd node.(Betree_internal_id) st; + | 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_fwd_back n0 content msgs; - num_msgs <- betree_list_len_fwd (u64 * Betree_message_t) n0 content0; - if num_msgs s>= params.(Betree_params_min_flush_size) + 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_fwd n0 node params node_id_cnt content0 st0; + 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; + betree_Internal_flush_back n0 node params node_id_cnt content0 st0; let (node0, _) := p1 in p2 <- - betree_store_internal_node_fwd node0.(Betree_internal_id) content1 - st1; + betree_store_internal_node node0.(betree_Internal_id) content1 st1; let (st2, _) := p2 in Return (st2, tt)) else ( p0 <- - betree_store_internal_node_fwd node.(Betree_internal_id) content0 st0; + betree_store_internal_node node.(betree_Internal_id) content0 st0; let (st1, _) := p0 in Return (st1, tt)) - | BetreeNodeLeaf node => - p <- betree_load_leaf_node_fwd node.(Betree_leaf_id) st; + | 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_fwd_back n0 content msgs; - len <- betree_list_len_fwd (u64 * u64) n0 content0; - i <- u64_mul 2%u64 params.(Betree_params_split_size); + 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_fwd n0 node content0 params node_id_cnt st0; + p0 <- betree_Leaf_split n0 node content0 params node_id_cnt st0; let (st1, _) := p0 in - p1 <- - betree_store_leaf_node_fwd node.(Betree_leaf_id) BetreeListNil st1; + p1 <- betree_store_leaf_node node.(betree_Leaf_id) Betree_List_Nil st1; let (st2, _) := p1 in Return (st2, tt)) else ( - p0 <- betree_store_leaf_node_fwd node.(Betree_leaf_id) content0 st0; + p0 <- betree_store_leaf_node node.(betree_Leaf_id) content0 st0; let (st1, _) := p0 in Return (st1, tt)) end end -(** [betree_main::betree::Node::{5}::apply_messages]: backward function 0 *) -with betree_node_apply_messages_back - (n : nat) (self : Betree_node_t) (params : Betree_params_t) - (node_id_cnt : Betree_node_id_counter_t) - (msgs : Betree_list_t (u64 * Betree_message_t)) (st : state) : - result (Betree_node_t * Betree_node_id_counter_t) +(** [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 - | BetreeNodeInternal node => - p <- betree_load_internal_node_fwd node.(Betree_internal_id) st; + | 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_fwd_back n0 content msgs; - num_msgs <- betree_list_len_fwd (u64 * Betree_message_t) n0 content0; - if num_msgs s>= params.(Betree_params_min_flush_size) + 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_fwd n0 node params node_id_cnt content0 st0; + 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; + betree_Internal_flush_back n0 node params node_id_cnt content0 st0; let (node0, node_id_cnt0) := p1 in _ <- - betree_store_internal_node_fwd node0.(Betree_internal_id) content1 - st1; - Return (BetreeNodeInternal node0, node_id_cnt0)) + betree_store_internal_node node0.(betree_Internal_id) content1 st1; + Return (Betree_Node_Internal node0, node_id_cnt0)) else ( - _ <- - betree_store_internal_node_fwd node.(Betree_internal_id) content0 st0; - Return (BetreeNodeInternal node, node_id_cnt)) - | BetreeNodeLeaf node => - p <- betree_load_leaf_node_fwd node.(Betree_leaf_id) st; + _ <- betree_store_internal_node node.(betree_Internal_id) content0 st0; + Return (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_fwd_back n0 content msgs; - len <- betree_list_len_fwd (u64 * u64) n0 content0; - i <- u64_mul 2%u64 params.(Betree_params_split_size); + 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_fwd n0 node content0 params node_id_cnt st0; + p0 <- betree_Leaf_split n0 node content0 params node_id_cnt st0; let (st1, new_node) := p0 in - _ <- - betree_store_leaf_node_fwd node.(Betree_leaf_id) BetreeListNil st1; + _ <- 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 (BetreeNodeInternal new_node, node_id_cnt0)) + betree_Leaf_split_back n0 node content0 params node_id_cnt st0; + Return (Betree_Node_Internal new_node, node_id_cnt0)) else ( - _ <- betree_store_leaf_node_fwd node.(Betree_leaf_id) content0 st0; - Return (BetreeNodeLeaf - {| Betree_leaf_id := node.(Betree_leaf_id); Betree_leaf_size := len + _ <- betree_store_leaf_node node.(betree_Leaf_id) content0 st0; + Return (Betree_Node_Leaf + {| betree_Leaf_id := node.(betree_Leaf_id); betree_Leaf_size := len |}, node_id_cnt)) end end . -(** [betree_main::betree::Node::{5}::apply]: forward function *) -Definition betree_node_apply_fwd - (n : nat) (self : Betree_node_t) (params : Betree_params_t) - (node_id_cnt : Betree_node_id_counter_t) (key : u64) - (new_msg : Betree_message_t) (st : state) : +(** [betree_main::betree::{betree_main::betree::Node#5}::apply]: forward function + 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) := - let l := BetreeListNil in + let l := Betree_List_Nil in p <- - betree_node_apply_messages_fwd n self params node_id_cnt (BetreeListCons + 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 (BetreeListCons + betree_Node_apply_messages_back n self params node_id_cnt (Betree_List_Cons (key, new_msg) l) st; Return (st0, tt) . -(** [betree_main::betree::Node::{5}::apply]: backward function 0 *) -Definition betree_node_apply_back - (n : nat) (self : Betree_node_t) (params : Betree_params_t) - (node_id_cnt : Betree_node_id_counter_t) (key : u64) - (new_msg : Betree_message_t) (st : state) : - result (Betree_node_t * Betree_node_id_counter_t) +(** [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 := BetreeListNil in - betree_node_apply_messages_back n self params node_id_cnt (BetreeListCons + 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::{6}::new]: forward function *) -Definition betree_be_tree_new_fwd +(** [betree_main::betree::{betree_main::betree::BeTree#6}::new]: forward function + 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_be_tree_t) + result (state * betree_BeTree_t) := - node_id_cnt <- betree_node_id_counter_new_fwd; - id <- betree_node_id_counter_fresh_id_fwd node_id_cnt; - p <- betree_store_leaf_node_fwd id BetreeListNil st; + 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_node_id_counter_fresh_id_back node_id_cnt; + node_id_cnt0 <- betree_NodeIdCounter_fresh_id_back node_id_cnt; Return (st0, {| - Betree_be_tree_params := + betree_BeTree_params := {| - Betree_params_min_flush_size := min_flush_size; - Betree_params_split_size := split_size + betree_Params_min_flush_size := min_flush_size; + betree_Params_split_size := split_size |}; - Betree_be_tree_node_id_cnt := node_id_cnt0; - Betree_be_tree_root := - (BetreeNodeLeaf {| Betree_leaf_id := id; Betree_leaf_size := 0%u64 |}) + betree_BeTree_node_id_cnt := node_id_cnt0; + betree_BeTree_root := + (Betree_Node_Leaf + {| betree_Leaf_id := id; betree_Leaf_size := 0%u64 |}) |}) . -(** [betree_main::betree::BeTree::{6}::apply]: forward function *) -Definition betree_be_tree_apply_fwd - (n : nat) (self : Betree_be_tree_t) (key : u64) (msg : Betree_message_t) +(** [betree_main::betree::{betree_main::betree::BeTree#6}::apply]: forward function + 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) := p <- - betree_node_apply_fwd n self.(Betree_be_tree_root) - self.(Betree_be_tree_params) self.(Betree_be_tree_node_id_cnt) key msg st; + 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_be_tree_root) - self.(Betree_be_tree_params) self.(Betree_be_tree_node_id_cnt) key msg st; + 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::{6}::apply]: backward function 0 *) -Definition betree_be_tree_apply_back - (n : nat) (self : Betree_be_tree_t) (key : u64) (msg : Betree_message_t) +(** [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_be_tree_t + result betree_BeTree_t := p <- - betree_node_apply_back n self.(Betree_be_tree_root) - self.(Betree_be_tree_params) self.(Betree_be_tree_node_id_cnt) key msg st; + 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 {| - Betree_be_tree_params := self.(Betree_be_tree_params); - Betree_be_tree_node_id_cnt := nic; - Betree_be_tree_root := n0 + betree_BeTree_params := self.(betree_BeTree_params); + betree_BeTree_node_id_cnt := nic; + betree_BeTree_root := n0 |} . -(** [betree_main::betree::BeTree::{6}::insert]: forward function *) -Definition betree_be_tree_insert_fwd - (n : nat) (self : Betree_be_tree_t) (key : u64) (value : u64) (st : state) : +(** [betree_main::betree::{betree_main::betree::BeTree#6}::insert]: forward function + 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_be_tree_apply_fwd n self key (BetreeMessageInsert value) st; + p <- betree_BeTree_apply n self key (Betree_Message_Insert value) st; let (st0, _) := p in - _ <- betree_be_tree_apply_back n self key (BetreeMessageInsert value) st; + _ <- betree_BeTree_apply_back n self key (Betree_Message_Insert value) st; Return (st0, tt) . -(** [betree_main::betree::BeTree::{6}::insert]: backward function 0 *) -Definition betree_be_tree_insert_back - (n : nat) (self : Betree_be_tree_t) (key : u64) (value : u64) (st : state) : - result Betree_be_tree_t +(** [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 := - betree_be_tree_apply_back n self key (BetreeMessageInsert value) st + betree_BeTree_apply_back n self key (Betree_Message_Insert value) st . -(** [betree_main::betree::BeTree::{6}::delete]: forward function *) -Definition betree_be_tree_delete_fwd - (n : nat) (self : Betree_be_tree_t) (key : u64) (st : state) : +(** [betree_main::betree::{betree_main::betree::BeTree#6}::delete]: forward function + 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_be_tree_apply_fwd n self key BetreeMessageDelete st; + p <- betree_BeTree_apply n self key Betree_Message_Delete st; let (st0, _) := p in - _ <- betree_be_tree_apply_back n self key BetreeMessageDelete st; + _ <- betree_BeTree_apply_back n self key Betree_Message_Delete st; Return (st0, tt) . -(** [betree_main::betree::BeTree::{6}::delete]: backward function 0 *) -Definition betree_be_tree_delete_back - (n : nat) (self : Betree_be_tree_t) (key : u64) (st : state) : - result Betree_be_tree_t +(** [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 := - betree_be_tree_apply_back n self key BetreeMessageDelete st + betree_BeTree_apply_back n self key Betree_Message_Delete st . -(** [betree_main::betree::BeTree::{6}::upsert]: forward function *) -Definition betree_be_tree_upsert_fwd - (n : nat) (self : Betree_be_tree_t) (key : u64) - (upd : Betree_upsert_fun_state_t) (st : state) : +(** [betree_main::betree::{betree_main::betree::BeTree#6}::upsert]: forward function + 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_be_tree_apply_fwd n self key (BetreeMessageUpsert upd) st; + p <- betree_BeTree_apply n self key (Betree_Message_Upsert upd) st; let (st0, _) := p in - _ <- betree_be_tree_apply_back n self key (BetreeMessageUpsert upd) st; + _ <- betree_BeTree_apply_back n self key (Betree_Message_Upsert upd) st; Return (st0, tt) . -(** [betree_main::betree::BeTree::{6}::upsert]: backward function 0 *) -Definition betree_be_tree_upsert_back - (n : nat) (self : Betree_be_tree_t) (key : u64) - (upd : Betree_upsert_fun_state_t) (st : state) : - result Betree_be_tree_t +(** [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 := - betree_be_tree_apply_back n self key (BetreeMessageUpsert upd) st + betree_BeTree_apply_back n self key (Betree_Message_Upsert upd) st . -(** [betree_main::betree::BeTree::{6}::lookup]: forward function *) -Definition betree_be_tree_lookup_fwd - (n : nat) (self : Betree_be_tree_t) (key : u64) (st : state) : +(** [betree_main::betree::{betree_main::betree::BeTree#6}::lookup]: forward function + 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_fwd n self.(Betree_be_tree_root) key st + betree_Node_lookup n self.(betree_BeTree_root) key st . -(** [betree_main::betree::BeTree::{6}::lookup]: backward function 0 *) -Definition betree_be_tree_lookup_back - (n : nat) (self : Betree_be_tree_t) (key : u64) (st : state) : - result Betree_be_tree_t +(** [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 := - n0 <- betree_node_lookup_back n self.(Betree_be_tree_root) key st; + n0 <- betree_Node_lookup_back n self.(betree_BeTree_root) key st; Return {| - Betree_be_tree_params := self.(Betree_be_tree_params); - Betree_be_tree_node_id_cnt := self.(Betree_be_tree_node_id_cnt); - Betree_be_tree_root := n0 + betree_BeTree_params := self.(betree_BeTree_params); + betree_BeTree_node_id_cnt := self.(betree_BeTree_node_id_cnt); + betree_BeTree_root := n0 |} . -(** [betree_main::main]: forward function *) -Definition main_fwd : result unit := +(** [betree_main::main]: forward function + Source: 'src/betree_main.rs', lines 5:0-5:9 *) +Definition main : result unit := Return tt. (** Unit test for [betree_main::main] *) -Check (main_fwd )%return. +Check (main )%return. -End BetreeMain_Funs . +End BetreeMain_Funs. diff --git a/tests/coq/betree/BetreeMain_FunsExternal.v b/tests/coq/betree/BetreeMain_FunsExternal.v new file mode 100644 index 00000000..07dba263 --- /dev/null +++ b/tests/coq/betree/BetreeMain_FunsExternal.v @@ -0,0 +1,46 @@ +(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *) +(** [betree_main]: external functions. +-- This is a template file: rename it to "FunsExternal.lean" and fill the holes. *) +Require Import Primitives. +Import Primitives. +Require Import Coq.ZArith.ZArith. +Require Import List. +Import ListNotations. +Local Open Scope Primitives_scope. +Require Export BetreeMain_Types. +Import BetreeMain_Types. +Module BetreeMain_FunsExternal. + +(** [betree_main::betree_utils::load_internal_node]: forward function + 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 + Source: 'src/betree_utils.rs', lines 115:0-115:71 *) +Axiom 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 *) +Axiom 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 *) +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 + 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) +. + +End BetreeMain_FunsExternal. diff --git a/tests/coq/betree/BetreeMain_FunsExternal_Template.v b/tests/coq/betree/BetreeMain_FunsExternal_Template.v new file mode 100644 index 00000000..36022a20 --- /dev/null +++ b/tests/coq/betree/BetreeMain_FunsExternal_Template.v @@ -0,0 +1,46 @@ +(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *) +(** [betree_main]: external functions. +-- This is a template file: rename it to "FunsExternal.lean" and fill the holes. *) +Require Import Primitives. +Import Primitives. +Require Import Coq.ZArith.ZArith. +Require Import List. +Import ListNotations. +Local Open Scope Primitives_scope. +Require Import BetreeMain_Types. +Include BetreeMain_Types. +Module BetreeMain_FunsExternal_Template. + +(** [betree_main::betree_utils::load_internal_node]: forward function + 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 + Source: 'src/betree_utils.rs', lines 115:0-115:71 *) +Axiom 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 *) +Axiom 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 *) +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 + 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) +. + +End BetreeMain_FunsExternal_Template. diff --git a/tests/coq/betree/BetreeMain_Opaque.v b/tests/coq/betree/BetreeMain_Opaque.v deleted file mode 100644 index ecd81b9d..00000000 --- a/tests/coq/betree/BetreeMain_Opaque.v +++ /dev/null @@ -1,40 +0,0 @@ -(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *) -(** [betree_main]: external function declarations *) -Require Import Primitives. -Import Primitives. -Require Import Coq.ZArith.ZArith. -Require Import List. -Import ListNotations. -Local Open Scope Primitives_scope. -Require Export BetreeMain_Types. -Import BetreeMain_Types. -Module BetreeMain_Opaque. - -(** [betree_main::betree_utils::load_internal_node]: forward function *) -Axiom betree_utils_load_internal_node_fwd - : u64 -> state -> result (state * (Betree_list_t (u64 * Betree_message_t))) -. - -(** [betree_main::betree_utils::store_internal_node]: forward function *) -Axiom betree_utils_store_internal_node_fwd - : - u64 -> Betree_list_t (u64 * Betree_message_t) -> state -> result (state * - unit) -. - -(** [betree_main::betree_utils::load_leaf_node]: forward function *) -Axiom betree_utils_load_leaf_node_fwd - : u64 -> state -> result (state * (Betree_list_t (u64 * u64))) -. - -(** [betree_main::betree_utils::store_leaf_node]: forward function *) -Axiom betree_utils_store_leaf_node_fwd - : u64 -> Betree_list_t (u64 * u64) -> state -> result (state * unit) -. - -(** [core::option::Option::{0}::unwrap]: forward function *) -Axiom core_option_option_unwrap_fwd : - forall(T : Type), option T -> state -> result (state * T) -. - -End BetreeMain_Opaque . diff --git a/tests/coq/betree/BetreeMain_Types.v b/tests/coq/betree/BetreeMain_Types.v index 4a4e75aa..22989256 100644 --- a/tests/coq/betree/BetreeMain_Types.v +++ b/tests/coq/betree/BetreeMain_Types.v @@ -6,105 +6,113 @@ Require Import Coq.ZArith.ZArith. Require Import List. Import ListNotations. Local Open Scope Primitives_scope. +Require Import BetreeMain_TypesExternal. +Include BetreeMain_TypesExternal. Module BetreeMain_Types. -(** [betree_main::betree::List] *) -Inductive Betree_list_t (T : Type) := -| BetreeListCons : T -> Betree_list_t T -> Betree_list_t T -| BetreeListNil : Betree_list_t T +(** [betree_main::betree::List] + Source: 'src/betree.rs', lines 17:0-17:23 *) +Inductive betree_List_t (T : Type) := +| Betree_List_Cons : T -> betree_List_t T -> betree_List_t T +| Betree_List_Nil : betree_List_t T . -Arguments BetreeListCons {T} _ _. -Arguments BetreeListNil {T}. +Arguments Betree_List_Cons { _ }. +Arguments Betree_List_Nil { _ }. -(** [betree_main::betree::UpsertFunState] *) -Inductive Betree_upsert_fun_state_t := -| BetreeUpsertFunStateAdd : u64 -> Betree_upsert_fun_state_t -| BetreeUpsertFunStateSub : u64 -> Betree_upsert_fun_state_t +(** [betree_main::betree::UpsertFunState] + Source: 'src/betree.rs', lines 63:0-63:23 *) +Inductive betree_UpsertFunState_t := +| Betree_UpsertFunState_Add : u64 -> betree_UpsertFunState_t +| Betree_UpsertFunState_Sub : u64 -> betree_UpsertFunState_t . -(** [betree_main::betree::Message] *) -Inductive Betree_message_t := -| BetreeMessageInsert : u64 -> Betree_message_t -| BetreeMessageDelete : Betree_message_t -| BetreeMessageUpsert : Betree_upsert_fun_state_t -> Betree_message_t +(** [betree_main::betree::Message] + Source: 'src/betree.rs', lines 69:0-69:23 *) +Inductive 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] *) -Record Betree_leaf_t := -mkBetree_leaf_t { - Betree_leaf_id : u64; Betree_leaf_size : u64; +(** [betree_main::betree::Leaf] + Source: 'src/betree.rs', lines 167:0-167:11 *) +Record betree_Leaf_t := +mkbetree_Leaf_t { + betree_Leaf_id : u64; betree_Leaf_size : u64; } . -(** [betree_main::betree::Internal] *) -Inductive Betree_internal_t := -| mkBetree_internal_t : +(** [betree_main::betree::Internal] + Source: 'src/betree.rs', lines 156:0-156:15 *) +Inductive betree_Internal_t := +| mkbetree_Internal_t : u64 -> u64 -> - Betree_node_t -> - Betree_node_t -> - Betree_internal_t - -(** [betree_main::betree::Node] *) -with Betree_node_t := -| BetreeNodeInternal : Betree_internal_t -> Betree_node_t -| BetreeNodeLeaf : Betree_leaf_t -> Betree_node_t + betree_Node_t -> + betree_Node_t -> + betree_Internal_t + +(** [betree_main::betree::Node] + Source: 'src/betree.rs', lines 179:0-179:9 *) +with betree_Node_t := +| Betree_Node_Internal : betree_Internal_t -> betree_Node_t +| Betree_Node_Leaf : betree_Leaf_t -> betree_Node_t . -Definition Betree_internal_id (x : Betree_internal_t) := - match x with | mkBetree_internal_t x0 _ _ _ => x0 end +Definition betree_Internal_id (x : betree_Internal_t) := + match x with | mkbetree_Internal_t x0 _ _ _ => x0 end . -Notation "x1 .(Betree_internal_id)" := (Betree_internal_id x1) (at level 9). +Notation "x1 .(betree_Internal_id)" := (betree_Internal_id x1) (at level 9). -Definition Betree_internal_pivot (x : Betree_internal_t) := - match x with | mkBetree_internal_t _ x0 _ _ => x0 end +Definition betree_Internal_pivot (x : betree_Internal_t) := + match x with | mkbetree_Internal_t _ x0 _ _ => x0 end . -Notation "x1 .(Betree_internal_pivot)" := (Betree_internal_pivot x1) +Notation "x1 .(betree_Internal_pivot)" := (betree_Internal_pivot x1) (at level 9) . -Definition Betree_internal_left (x : Betree_internal_t) := - match x with | mkBetree_internal_t _ _ x0 _ => x0 end +Definition betree_Internal_left (x : betree_Internal_t) := + match x with | mkbetree_Internal_t _ _ x0 _ => x0 end . -Notation "x1 .(Betree_internal_left)" := (Betree_internal_left x1) (at level 9) +Notation "x1 .(betree_Internal_left)" := (betree_Internal_left x1) (at level 9) . -Definition Betree_internal_right (x : Betree_internal_t) := - match x with | mkBetree_internal_t _ _ _ x0 => x0 end +Definition betree_Internal_right (x : betree_Internal_t) := + match x with | mkbetree_Internal_t _ _ _ x0 => x0 end . -Notation "x1 .(Betree_internal_right)" := (Betree_internal_right x1) +Notation "x1 .(betree_Internal_right)" := (betree_Internal_right x1) (at level 9) . -(** [betree_main::betree::Params] *) -Record Betree_params_t := -mkBetree_params_t { - Betree_params_min_flush_size : u64; Betree_params_split_size : u64; +(** [betree_main::betree::Params] + Source: 'src/betree.rs', lines 187:0-187:13 *) +Record betree_Params_t := +mkbetree_Params_t { + betree_Params_min_flush_size : u64; betree_Params_split_size : u64; } . -(** [betree_main::betree::NodeIdCounter] *) -Record Betree_node_id_counter_t := -mkBetree_node_id_counter_t { - Betree_node_id_counter_next_node_id : u64; +(** [betree_main::betree::NodeIdCounter] + Source: 'src/betree.rs', lines 201:0-201:20 *) +Record betree_NodeIdCounter_t := +mkbetree_NodeIdCounter_t { + betree_NodeIdCounter_next_node_id : u64; } . -(** [betree_main::betree::BeTree] *) -Record Betree_be_tree_t := -mkBetree_be_tree_t { - Betree_be_tree_params : Betree_params_t; - Betree_be_tree_node_id_cnt : Betree_node_id_counter_t; - Betree_be_tree_root : Betree_node_t; +(** [betree_main::betree::BeTree] + Source: 'src/betree.rs', lines 218:0-218:17 *) +Record betree_BeTree_t := +mkbetree_BeTree_t { + betree_BeTree_params : betree_Params_t; + betree_BeTree_node_id_cnt : betree_NodeIdCounter_t; + betree_BeTree_root : betree_Node_t; } . -(** The state type used in the state-error monad *) -Axiom state : Type. - -End BetreeMain_Types . +End BetreeMain_Types. diff --git a/tests/coq/betree/BetreeMain_TypesExternal.v b/tests/coq/betree/BetreeMain_TypesExternal.v new file mode 100644 index 00000000..50c4a4f8 --- /dev/null +++ b/tests/coq/betree/BetreeMain_TypesExternal.v @@ -0,0 +1,15 @@ +(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *) +(** [betree_main]: external types. +-- This is a template file: rename it to "TypesExternal.lean" and fill the holes. *) +Require Import Primitives. +Import Primitives. +Require Import Coq.ZArith.ZArith. +Require Import List. +Import ListNotations. +Local Open Scope Primitives_scope. +Module BetreeMain_TypesExternal. + +(** The state type used in the state-error monad *) +Axiom state : Type. + +End BetreeMain_TypesExternal. diff --git a/tests/coq/betree/BetreeMain_TypesExternal_Template.v b/tests/coq/betree/BetreeMain_TypesExternal_Template.v new file mode 100644 index 00000000..651de2b7 --- /dev/null +++ b/tests/coq/betree/BetreeMain_TypesExternal_Template.v @@ -0,0 +1,15 @@ +(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *) +(** [betree_main]: external types. +-- This is a template file: rename it to "TypesExternal.lean" and fill the holes. *) +Require Import Primitives. +Import Primitives. +Require Import Coq.ZArith.ZArith. +Require Import List. +Import ListNotations. +Local Open Scope Primitives_scope. +Module BetreeMain_TypesExternal_Template. + +(** The state type used in the state-error monad *) +Axiom state : Type. + +End BetreeMain_TypesExternal_Template. diff --git a/tests/coq/betree/Primitives.v b/tests/coq/betree/Primitives.v index 71a2d9c3..99ffe070 100644 --- a/tests/coq/betree/Primitives.v +++ b/tests/coq/betree/Primitives.v @@ -63,13 +63,15 @@ Check (if true then Return (1 + 2) else Fail_ Failure)%global = 3. (*** Misc *) - Definition string := Coq.Strings.String.string. Definition char := Coq.Strings.Ascii.ascii. Definition char_of_byte := Coq.Strings.Ascii.ascii_of_byte. -Definition mem_replace_fwd (a : Type) (x : a) (y : a) : a := x . -Definition mem_replace_back (a : Type) (x : a) (y : a) : a := y . +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 . + +Record mut_raw_ptr (T : Type) := { mut_raw_ptr_v : T }. +Record const_raw_ptr (T : Type) := { const_raw_ptr_v : T }. (*** Scalars *) @@ -253,6 +255,12 @@ Definition scalar_rem {ty} (x y: scalar ty) : result (scalar ty) := mk_scalar ty Definition scalar_neg {ty} (x: scalar ty) : result (scalar ty) := mk_scalar ty (-(to_Z x)). +Axiom scalar_xor : forall ty, scalar ty -> scalar ty -> scalar ty. (* TODO *) +Axiom scalar_or : forall ty, scalar ty -> scalar ty -> scalar ty. (* TODO *) +Axiom scalar_and : forall ty, scalar ty -> scalar ty -> scalar ty. (* TODO *) +Axiom scalar_shl : forall ty0 ty1, scalar ty0 -> scalar ty1 -> result (scalar ty0). (* TODO *) +Axiom scalar_shr : forall ty0 ty1, scalar ty0 -> scalar ty1 -> result (scalar ty0). (* TODO *) + (** Cast an integer from a [src_ty] to a [tgt_ty] *) (* TODO: check the semantics of casts in Rust *) Definition scalar_cast (src_ty tgt_ty : scalar_ty) (x : scalar src_ty) : result (scalar tgt_ty) := @@ -370,6 +378,76 @@ Definition u32_mul := @scalar_mul U32. Definition u64_mul := @scalar_mul U64. Definition u128_mul := @scalar_mul U128. +(** Xor *) +Definition u8_xor := @scalar_xor U8. +Definition u16_xor := @scalar_xor U16. +Definition u32_xor := @scalar_xor U32. +Definition u64_xor := @scalar_xor U64. +Definition u128_xor := @scalar_xor U128. +Definition usize_xor := @scalar_xor Usize. +Definition i8_xor := @scalar_xor I8. +Definition i16_xor := @scalar_xor I16. +Definition i32_xor := @scalar_xor I32. +Definition i64_xor := @scalar_xor I64. +Definition i128_xor := @scalar_xor I128. +Definition isize_xor := @scalar_xor Isize. + +(** Or *) +Definition u8_or := @scalar_or U8. +Definition u16_or := @scalar_or U16. +Definition u32_or := @scalar_or U32. +Definition u64_or := @scalar_or U64. +Definition u128_or := @scalar_or U128. +Definition usize_or := @scalar_or Usize. +Definition i8_or := @scalar_or I8. +Definition i16_or := @scalar_or I16. +Definition i32_or := @scalar_or I32. +Definition i64_or := @scalar_or I64. +Definition i128_or := @scalar_or I128. +Definition isize_or := @scalar_or Isize. + +(** And *) +Definition u8_and := @scalar_and U8. +Definition u16_and := @scalar_and U16. +Definition u32_and := @scalar_and U32. +Definition u64_and := @scalar_and U64. +Definition u128_and := @scalar_and U128. +Definition usize_and := @scalar_and Usize. +Definition i8_and := @scalar_and I8. +Definition i16_and := @scalar_and I16. +Definition i32_and := @scalar_and I32. +Definition i64_and := @scalar_and I64. +Definition i128_and := @scalar_and I128. +Definition isize_and := @scalar_and Isize. + +(** Shift left *) +Definition u8_shl {ty} := @scalar_shl U8 ty. +Definition u16_shl {ty} := @scalar_shl U16 ty. +Definition u32_shl {ty} := @scalar_shl U32 ty. +Definition u64_shl {ty} := @scalar_shl U64 ty. +Definition u128_shl {ty} := @scalar_shl U128 ty. +Definition usize_shl {ty} := @scalar_shl Usize ty. +Definition i8_shl {ty} := @scalar_shl I8 ty. +Definition i16_shl {ty} := @scalar_shl I16 ty. +Definition i32_shl {ty} := @scalar_shl I32 ty. +Definition i64_shl {ty} := @scalar_shl I64 ty. +Definition i128_shl {ty} := @scalar_shl I128 ty. +Definition isize_shl {ty} := @scalar_shl Isize ty. + +(** Shift right *) +Definition u8_shr {ty} := @scalar_shr U8 ty. +Definition u16_shr {ty} := @scalar_shr U16 ty. +Definition u32_shr {ty} := @scalar_shr U32 ty. +Definition u64_shr {ty} := @scalar_shr U64 ty. +Definition u128_shr {ty} := @scalar_shr U128 ty. +Definition usize_shr {ty} := @scalar_shr Usize ty. +Definition i8_shr {ty} := @scalar_shr I8 ty. +Definition i16_shr {ty} := @scalar_shr I16 ty. +Definition i32_shr {ty} := @scalar_shr I32 ty. +Definition i64_shr {ty} := @scalar_shr I64 ty. +Definition i128_shr {ty} := @scalar_shr I128 ty. +Definition isize_shr {ty} := @scalar_shr Isize ty. + (** Small utility *) Definition usize_to_nat (x: usize) : nat := Z.to_nat (to_Z x). @@ -394,12 +472,89 @@ Notation "x s< y" := (scalar_ltb x y) (at level 80) : Primitives_scope. Notation "x s>= y" := (scalar_geb x y) (at level 80) : Primitives_scope. Notation "x s> y" := (scalar_gtb x y) (at level 80) : Primitives_scope. -(*** Range *) -Record range (T : Type) := mk_range { - start: T; - end_: T; +(** Constants *) +Definition core_u8_max := u8_max %u32. +Definition core_u16_max := u16_max %u32. +Definition core_u32_max := u32_max %u32. +Definition core_u64_max := u64_max %u64. +Definition core_u128_max := u64_max %u128. +Axiom core_usize_max : usize. (** TODO *) +Definition core_i8_max := i8_max %i32. +Definition core_i16_max := i16_max %i32. +Definition core_i32_max := i32_max %i32. +Definition core_i64_max := i64_max %i64. +Definition core_i128_max := i64_max %i128. +Axiom core_isize_max : isize. (** TODO *) + +(*** core::ops *) + +(* Trait declaration: [core::ops::index::Index] *) +Record core_ops_index_Index (Self Idx : Type) := mk_core_ops_index_Index { + core_ops_index_Index_Output : Type; + core_ops_index_Index_index : Self -> Idx -> result core_ops_index_Index_Output; +}. +Arguments mk_core_ops_index_Index {_ _}. +Arguments core_ops_index_Index_Output {_ _}. +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; +}. +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 { + core_ops_deref_Deref_target : Type; + core_ops_deref_Deref_deref : Self -> result core_ops_deref_Deref_target; }. -Arguments mk_range {_}. +Arguments mk_core_ops_deref_Deref {_}. +Arguments core_ops_deref_Deref_target {_}. +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; +}. +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; + core_ops_range_Range_end_ : T; +}. +Arguments mk_core_ops_range_Range {_}. +Arguments core_ops_range_Range_start {_}. +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. + +(* Trait instance *) +Definition alloc_boxed_Box_coreopsDerefInst (Self : Type) : core_ops_deref_Deref Self := {| + core_ops_deref_Deref_target := Self; + core_ops_deref_Deref_deref := alloc_boxed_Box_deref Self; +|}. + +(* Trait instance *) +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; +|}. + (*** Arrays *) Definition array T (n : usize) := { l: list T | Z.of_nat (length l) = to_Z n}. @@ -419,51 +574,50 @@ Qed. (* TODO: finish the definitions *) Axiom mk_array : forall (T : Type) (n : usize) (l : list T), array T n. -Axiom array_index_shared : forall (T : Type) (n : usize) (x : array T n) (i : usize), result T. -Axiom array_index_mut_fwd : forall (T : Type) (n : usize) (x : array T n) (i : usize), result T. -Axiom array_index_mut_back : forall (T : Type) (n : usize) (x : array T n) (i : usize) (nx : T), result (array T n). +(* For initialization *) +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). (*** Slice *) Definition slice T := { l: list T | Z.of_nat (length l) <= usize_max}. Axiom slice_len : forall (T : Type) (s : slice T), usize. -Axiom slice_index_shared : forall (T : Type) (x : slice T) (i : usize), result T. -Axiom slice_index_mut_fwd : forall (T : Type) (x : slice T) (i : usize), result T. -Axiom slice_index_mut_back : forall (T : Type) (x : slice T) (i : usize) (nx : T), result (slice T). +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). (*** Subslices *) -Axiom array_to_slice_shared : forall (T : Type) (n : usize) (x : array T n), result (slice T). -Axiom array_to_slice_mut_fwd : forall (T : Type) (n : usize) (x : array T n), result (slice T). -Axiom array_to_slice_mut_back : forall (T : Type) (n : usize) (x : array T n) (s : slice T), result (array T n). +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). -Axiom array_subslice_shared: forall (T : Type) (n : usize) (x : array T n) (r : range usize), result (slice T). -Axiom array_subslice_mut_fwd: forall (T : Type) (n : usize) (x : array T n) (r : range usize), result (slice T). -Axiom array_subslice_mut_back: forall (T : Type) (n : usize) (x : array T n) (r : range usize) (ns : slice T), result (array T n). -Axiom slice_subslice_shared: forall (T : Type) (x : slice T) (r : range usize), result (slice T). -Axiom slice_subslice_mut_fwd: forall (T : Type) (x : slice T) (r : range usize), result (slice T). -Axiom slice_subslice_mut_back: forall (T : Type) (x : slice T) (r : range usize) (ns : slice T), result (slice T). +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). + +Axiom slice_subslice: forall (T : Type) (x : slice T) (r : core_ops_range_Range usize), result (slice T). +Axiom slice_update_subslice: forall (T : Type) (x : slice T) (r : core_ops_range_Range usize) (ns : slice T), result (slice T). (*** Vectors *) -Definition vec T := { l: list T | Z.of_nat (length l) <= usize_max }. +Definition alloc_vec_Vec T := { l: list T | Z.of_nat (length l) <= usize_max }. -Definition vec_to_list {T: Type} (v: vec T) : list T := proj1_sig v. +Definition alloc_vec_Vec_to_list {T: Type} (v: alloc_vec_Vec T) : list T := proj1_sig v. -Definition vec_length {T: Type} (v: vec T) : Z := Z.of_nat (length (vec_to_list v)). +Definition alloc_vec_Vec_length {T: Type} (v: alloc_vec_Vec T) : Z := Z.of_nat (length (alloc_vec_Vec_to_list v)). -Definition vec_new (T: Type) : vec T := (exist _ [] le_0_usize_max). +Definition alloc_vec_Vec_new (T: Type) : alloc_vec_Vec T := (exist _ [] le_0_usize_max). -Lemma vec_len_in_usize {T} (v: vec T) : usize_min <= vec_length v <= usize_max. +Lemma alloc_vec_Vec_len_in_usize {T} (v: alloc_vec_Vec T) : usize_min <= alloc_vec_Vec_length v <= usize_max. Proof. - unfold vec_length, usize_min. + unfold alloc_vec_Vec_length, usize_min. split. - lia. - apply (proj2_sig v). Qed. -Definition vec_len (T: Type) (v: vec T) : usize := - exist _ (vec_length v) (vec_len_in_usize v). +Definition alloc_vec_Vec_len (T: Type) (v: alloc_vec_Vec T) : usize := + exist _ (alloc_vec_Vec_length v) (alloc_vec_Vec_len_in_usize v). Fixpoint list_update {A} (l: list A) (n: nat) (a: A) : list A := @@ -474,50 +628,279 @@ Fixpoint list_update {A} (l: list A) (n: nat) (a: A) | S m => x :: (list_update t m a) end end. -Definition vec_bind {A B} (v: vec A) (f: list A -> result (list B)) : result (vec B) := - l <- f (vec_to_list v) ; +Definition alloc_vec_Vec_bind {A B} (v: alloc_vec_Vec A) (f: list A -> result (list B)) : result (alloc_vec_Vec B) := + l <- f (alloc_vec_Vec_to_list v) ; match sumbool_of_bool (scalar_le_max Usize (Z.of_nat (length l))) with | left H => Return (exist _ l (scalar_le_max_valid _ _ H)) | right _ => Fail_ Failure end. (* The **forward** function shouldn't be used *) -Definition vec_push_fwd (T: Type) (v: vec T) (x: T) : unit := tt. +Definition alloc_vec_Vec_push_fwd (T: Type) (v: alloc_vec_Vec T) (x: T) : unit := tt. -Definition vec_push_back (T: Type) (v: vec T) (x: T) : result (vec T) := - vec_bind v (fun l => Return (l ++ [x])). +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 vec_insert_fwd (T: Type) (v: vec T) (i: usize) (x: T) : result unit := - if to_Z i <? vec_length v then Return tt else Fail_ Failure. +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 vec_insert_back (T: Type) (v: vec T) (i: usize) (x: T) : result (vec T) := - vec_bind v (fun l => +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) then Return (list_update l (usize_to_nat i) x) else Fail_ Failure). -(* The **backward** function shouldn't be used *) -Definition vec_index_fwd (T: Type) (v: vec T) (i: usize) : result T := - match nth_error (vec_to_list v) (usize_to_nat i) with - | Some n => Return n - | None => Fail_ Failure - end. - -Definition vec_index_back (T: Type) (v: vec T) (i: usize) (x: T) : result unit := - if to_Z i <? vec_length v then Return tt else Fail_ Failure. - -(* The **backward** function shouldn't be used *) -Definition vec_index_mut_fwd (T: Type) (v: vec T) (i: usize) : result T := - match nth_error (vec_to_list v) (usize_to_nat i) with - | Some n => Return n - | None => Fail_ Failure +(* Helper *) +Axiom alloc_vec_Vec_index_usize : forall {T : Type} (v : alloc_vec_Vec T) (i : usize), result T. + +(* Helper *) +Axiom alloc_vec_Vec_update_usize : forall {T : Type} (v : alloc_vec_Vec T) (i : usize) (x : T), result (alloc_vec_Vec T). + +(* Trait declaration: [core::slice::index::private_slice_index::Sealed] *) +Definition core_slice_index_private_slice_index_Sealed (self : Type) := unit. + +(* Trait declaration: [core::slice::index::SliceIndex] *) +Record core_slice_index_SliceIndex (Self T : Type) := mk_core_slice_index_SliceIndex { + 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_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; +}. +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 + (T Idx : Type) (inst : core_slice_index_SliceIndex Idx (slice T)) + (s : slice T) (i : Idx) : result inst.(core_slice_index_SliceIndex_Output) := + x <- inst.(core_slice_index_SliceIndex_get) i s; + match x with + | None => Fail_ Failure + | Some x => Return x end. -Definition vec_index_mut_back (T: Type) (v: vec T) (i: usize) (x: T) : result (vec T) := - vec_bind v (fun l => - if to_Z i <? Z.of_nat (length l) - then Return (list_update l (usize_to_nat i) x) - else Fail_ Failure). +(* [core::slice::index::Range:::get]: forward function *) +Axiom core_slice_index_RangeUsize_get : forall (T : Type) (i : core_ops_range_Range usize) (s : slice T), result (option (slice T)). + +(* [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). + +(* [core::slice::index::Range::get_unchecked]: forward function *) +Definition core_slice_index_RangeUsize_get_unchecked + (T : Type) : + 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 *) +Definition core_slice_index_RangeUsize_get_unchecked_mut + (T : Type) : + 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 *) +Axiom core_slice_index_RangeUsize_index : + forall (T : Type), core_ops_range_Range usize -> slice T -> result (slice T). + +(* [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). + +(* [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). + +(* [core::array::[T; N]::index]: forward function *) +Axiom core_array_Array_index : + forall (T Idx : Type) (N : usize) (inst : core_ops_index_Index (slice T) Idx) + (a : array T N) (i : Idx), result inst.(core_ops_index_Index_Output). + +(* [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). + +(* Trait implementation: [core::slice::index::private_slice_index::Range] *) +Definition core_slice_index_private_slice_index_SealedRangeUsizeInst + : core_slice_index_private_slice_index_Sealed (core_ops_range_Range usize) := tt. + +(* Trait implementation: [core::slice::index::Range] *) +Definition core_slice_index_SliceIndexRangeUsizeSliceTInst (T : Type) : + core_slice_index_SliceIndex (core_ops_range_Range usize) (slice T) := {| + core_slice_index_SliceIndex_sealedInst := core_slice_index_private_slice_index_SealedRangeUsizeInst; + 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]] *) +Definition core_ops_index_IndexSliceTIInst (T Idx : Type) + (inst : core_slice_index_SliceIndex Idx (slice T)) : + core_ops_index_Index (slice T) Idx := {| + core_ops_index_Index_Output := inst.(core_slice_index_SliceIndex_Output); + core_ops_index_Index_index := core_slice_index_Slice_index T Idx inst; +|}. + +(* Trait implementation: [core::slice::index::[T]] *) +Definition core_ops_index_IndexMutSliceTIInst (T Idx : Type) + (inst : core_slice_index_SliceIndex Idx (slice T)) : + 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]] *) +Definition core_ops_index_IndexArrayInst (T Idx : Type) (N : usize) + (inst : core_ops_index_Index (slice T) Idx) : + core_ops_index_Index (array T N) Idx := {| + core_ops_index_Index_Output := inst.(core_ops_index_Index_Output); + core_ops_index_Index_index := core_array_Array_index T Idx N inst; +|}. + +(* Trait implementation: [core::array::[T; N]] *) +Definition core_ops_index_IndexMutArrayInst (T Idx : Type) (N : usize) + (inst : core_ops_index_IndexMut (slice T) Idx) : + 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). + +(* [core::slice::index::usize::get_unchecked]: forward function *) +Axiom core_slice_index_usize_get_unchecked : + forall (T : Type), usize -> const_raw_ptr (slice T) -> result (const_raw_ptr T). + +(* [core::slice::index::usize::get_unchecked_mut]: forward function *) +Axiom core_slice_index_usize_get_unchecked_mut : + forall (T : Type), usize -> mut_raw_ptr (slice T) -> result (mut_raw_ptr T). + +(* [core::slice::index::usize::index]: forward function *) +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). + +(* Trait implementation: [core::slice::index::private_slice_index::usize] *) +Definition core_slice_index_private_slice_index_SealedUsizeInst + : core_slice_index_private_slice_index_Sealed usize := tt. + +(* Trait implementation: [core::slice::index::usize] *) +Definition core_slice_index_SliceIndexUsizeSliceTInst (T : Type) : + core_slice_index_SliceIndex usize (slice T) := {| + core_slice_index_SliceIndex_sealedInst := core_slice_index_private_slice_index_SealedUsizeInst; + 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 *) +Axiom alloc_vec_Vec_index : 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]: 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). + +(* Trait implementation: [alloc::vec::Vec] *) +Definition alloc_vec_Vec_coreopsindexIndexInst (T Idx : Type) + (inst : core_slice_index_SliceIndex Idx (slice T)) : + core_ops_index_Index (alloc_vec_Vec T) Idx := {| + core_ops_index_Index_Output := inst.(core_slice_index_SliceIndex_Output); + core_ops_index_Index_index := alloc_vec_Vec_index T Idx inst; +|}. + +(* Trait implementation: [alloc::vec::Vec] *) +Definition alloc_vec_Vec_coreopsindexIndexMutInst (T Idx : Type) + (inst : core_slice_index_SliceIndex Idx (slice T)) : + 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 *) + +Axiom alloc_vec_Vec_index_eq : forall {a : Type} (v : alloc_vec_Vec a) (i : usize) (x : a), + alloc_vec_Vec_index a usize (core_slice_index_SliceIndexUsizeSliceTInst a) v i = + alloc_vec_Vec_index_usize v i. + +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. End Primitives. diff --git a/tests/coq/betree/_CoqProject b/tests/coq/betree/_CoqProject index 42c62421..13e4b9c1 100644 --- a/tests/coq/betree/_CoqProject +++ b/tests/coq/betree/_CoqProject @@ -4,6 +4,9 @@ -arg all BetreeMain_Types.v +BetreeMain_TypesExternal_Template.v Primitives.v +BetreeMain_FunsExternal_Template.v BetreeMain_Funs.v -BetreeMain_Opaque.v +BetreeMain_TypesExternal.v +BetreeMain_FunsExternal.v diff --git a/tests/coq/hashmap/Hashmap_Funs.v b/tests/coq/hashmap/Hashmap_Funs.v index e950ba0b..64de44a6 100644 --- a/tests/coq/hashmap/Hashmap_Funs.v +++ b/tests/coq/hashmap/Hashmap_Funs.v @@ -6,103 +6,115 @@ Require Import Coq.ZArith.ZArith. Require Import List. Import ListNotations. Local Open Scope Primitives_scope. -Require Export Hashmap_Types. -Import Hashmap_Types. +Require Import Hashmap_Types. +Include Hashmap_Types. Module Hashmap_Funs. -(** [hashmap::hash_key]: forward function *) -Definition hash_key_fwd (k : usize) : result usize := +(** [hashmap::hash_key]: forward function + Source: 'src/hashmap.rs', lines 27:0-27:32 *) +Definition hash_key (k : usize) : result usize := Return k. -(** [hashmap::HashMap::{0}::allocate_slots]: loop 0: forward function *) -Fixpoint hash_map_allocate_slots_loop_fwd - (T : Type) (n : nat) (slots : vec (List_t T)) (n0 : usize) : - result (vec (List_t T)) +(** [hashmap::{hashmap::HashMap<T>}::allocate_slots]: loop 0: forward function + 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) : + result (alloc_vec_Vec (List_t T)) := match n with | O => Fail_ OutOfFuel | S n1 => if n0 s> 0%usize then ( - slots0 <- vec_push_back (List_t T) slots ListNil; + slots0 <- alloc_vec_Vec_push (List_t T) slots List_Nil; n2 <- usize_sub n0 1%usize; - hash_map_allocate_slots_loop_fwd T n1 slots0 n2) + hashMap_allocate_slots_loop T n1 slots0 n2) else Return slots end . -(** [hashmap::HashMap::{0}::allocate_slots]: forward function *) -Definition hash_map_allocate_slots_fwd - (T : Type) (n : nat) (slots : vec (List_t T)) (n0 : usize) : - result (vec (List_t T)) +(** [hashmap::{hashmap::HashMap<T>}::allocate_slots]: forward function + 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) : + result (alloc_vec_Vec (List_t T)) := - hash_map_allocate_slots_loop_fwd T n slots n0 + hashMap_allocate_slots_loop T n slots n0 . -(** [hashmap::HashMap::{0}::new_with_capacity]: forward function *) -Definition hash_map_new_with_capacity_fwd +(** [hashmap::{hashmap::HashMap<T>}::new_with_capacity]: forward function + 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 (Hash_map_t T) + result (HashMap_t T) := - let v := vec_new (List_t T) in - slots <- hash_map_allocate_slots_fwd T n v capacity; + let v := alloc_vec_Vec_new (List_t T) in + slots <- hashMap_allocate_slots T n v capacity; i <- usize_mul capacity max_load_dividend; i0 <- usize_div i max_load_divisor; Return {| - Hash_map_num_entries := 0%usize; - Hash_map_max_load_factor := (max_load_dividend, max_load_divisor); - Hash_map_max_load := i0; - Hash_map_slots := slots + hashMap_num_entries := 0%usize; + hashMap_max_load_factor := (max_load_dividend, max_load_divisor); + hashMap_max_load := i0; + hashMap_slots := slots |} . -(** [hashmap::HashMap::{0}::new]: forward function *) -Definition hash_map_new_fwd (T : Type) (n : nat) : result (Hash_map_t T) := - hash_map_new_with_capacity_fwd T n 32%usize 4%usize 5%usize +(** [hashmap::{hashmap::HashMap<T>}::new]: forward function + 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::{0}::clear]: loop 0: merged forward/backward function - (there is a single backward function, and the forward function returns ()) *) -Fixpoint hash_map_clear_loop_fwd_back - (T : Type) (n : nat) (slots : vec (List_t T)) (i : usize) : - result (vec (List_t T)) +(** [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 *) +Fixpoint hashMap_clear_loop + (T : Type) (n : nat) (slots : alloc_vec_Vec (List_t T)) (i : usize) : + result (alloc_vec_Vec (List_t T)) := match n with | O => Fail_ OutOfFuel | S n0 => - let i0 := vec_len (List_t T) slots in + let i0 := alloc_vec_Vec_len (List_t T) slots in if i s< i0 then ( i1 <- usize_add i 1%usize; - slots0 <- vec_index_mut_back (List_t T) slots i ListNil; - hash_map_clear_loop_fwd_back T n0 slots0 i1) + 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) else Return slots end . -(** [hashmap::HashMap::{0}::clear]: merged forward/backward function - (there is a single backward function, and the forward function returns ()) *) -Definition hash_map_clear_fwd_back - (T : Type) (n : nat) (self : Hash_map_t T) : result (Hash_map_t T) := - v <- hash_map_clear_loop_fwd_back T n self.(Hash_map_slots) 0%usize; +(** [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 *) +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; Return {| - Hash_map_num_entries := 0%usize; - Hash_map_max_load_factor := self.(Hash_map_max_load_factor); - Hash_map_max_load := self.(Hash_map_max_load); - Hash_map_slots := v + 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::HashMap::{0}::len]: forward function *) -Definition hash_map_len_fwd (T : Type) (self : Hash_map_t T) : result usize := - Return self.(Hash_map_num_entries) +(** [hashmap::{hashmap::HashMap<T>}::len]: forward function + 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::{0}::insert_in_list]: loop 0: forward function *) -Fixpoint hash_map_insert_in_list_loop_fwd +(** [hashmap::{hashmap::HashMap<T>}::insert_in_list]: loop 0: forward function + 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 := @@ -110,25 +122,27 @@ Fixpoint hash_map_insert_in_list_loop_fwd | O => Fail_ OutOfFuel | S n0 => match ls with - | ListCons ckey cvalue tl => + | List_Cons ckey cvalue tl => if ckey s= key then Return false - else hash_map_insert_in_list_loop_fwd T n0 key value tl - | ListNil => Return true + else hashMap_insert_in_list_loop T n0 key value tl + | List_Nil => Return true end end . -(** [hashmap::HashMap::{0}::insert_in_list]: forward function *) -Definition hash_map_insert_in_list_fwd +(** [hashmap::{hashmap::HashMap<T>}::insert_in_list]: forward function + 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 := - hash_map_insert_in_list_loop_fwd T n key value ls + hashMap_insert_in_list_loop T n key value ls . -(** [hashmap::HashMap::{0}::insert_in_list]: loop 0: backward function 0 *) -Fixpoint hash_map_insert_in_list_loop_back +(** [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) := @@ -136,259 +150,290 @@ Fixpoint hash_map_insert_in_list_loop_back | O => Fail_ OutOfFuel | S n0 => match ls with - | ListCons ckey cvalue tl => + | List_Cons ckey cvalue tl => if ckey s= key - then Return (ListCons ckey value tl) + then Return (List_Cons ckey value tl) else ( - tl0 <- hash_map_insert_in_list_loop_back T n0 key value tl; - Return (ListCons ckey cvalue tl0)) - | ListNil => let l := ListNil in Return (ListCons key value l) + 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::{0}::insert_in_list]: backward function 0 *) -Definition hash_map_insert_in_list_back +(** [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) := - hash_map_insert_in_list_loop_back T n key value ls + hashMap_insert_in_list_loop_back T n key value ls . -(** [hashmap::HashMap::{0}::insert_no_resize]: merged forward/backward function - (there is a single backward function, and the forward function returns ()) *) -Definition hash_map_insert_no_resize_fwd_back - (T : Type) (n : nat) (self : Hash_map_t T) (key : usize) (value : T) : - result (Hash_map_t T) +(** [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 *) +Definition hashMap_insert_no_resize + (T : Type) (n : nat) (self : HashMap_t T) (key : usize) (value : T) : + result (HashMap_t T) := - hash <- hash_key_fwd key; - let i := vec_len (List_t T) self.(Hash_map_slots) in + hash <- hash_key key; + let i := alloc_vec_Vec_len (List_t T) self.(hashMap_slots) in hash_mod <- usize_rem hash i; - l <- vec_index_mut_fwd (List_t T) self.(Hash_map_slots) hash_mod; - inserted <- hash_map_insert_in_list_fwd T n key value l; + l <- + 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; if inserted then ( - i0 <- usize_add self.(Hash_map_num_entries) 1%usize; - l0 <- hash_map_insert_in_list_back T n key value l; - v <- vec_index_mut_back (List_t T) self.(Hash_map_slots) hash_mod l0; + 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; Return {| - Hash_map_num_entries := i0; - Hash_map_max_load_factor := self.(Hash_map_max_load_factor); - Hash_map_max_load := self.(Hash_map_max_load); - Hash_map_slots := v + hashMap_num_entries := i0; + hashMap_max_load_factor := self.(hashMap_max_load_factor); + hashMap_max_load := self.(hashMap_max_load); + hashMap_slots := v |}) else ( - l0 <- hash_map_insert_in_list_back T n key value l; - v <- vec_index_mut_back (List_t T) self.(Hash_map_slots) hash_mod l0; + 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; Return {| - Hash_map_num_entries := self.(Hash_map_num_entries); - Hash_map_max_load_factor := self.(Hash_map_max_load_factor); - Hash_map_max_load := self.(Hash_map_max_load); - Hash_map_slots := v + 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 |}) . -(** [core::num::u32::{8}::MAX] *) -Definition core_num_u32_max_body : result u32 := Return 4294967295%u32. -Definition core_num_u32_max_c : u32 := core_num_u32_max_body%global. - -(** [hashmap::HashMap::{0}::move_elements_from_list]: loop 0: merged forward/backward function - (there is a single backward function, and the forward function returns ()) *) -Fixpoint hash_map_move_elements_from_list_loop_fwd_back - (T : Type) (n : nat) (ntable : Hash_map_t T) (ls : List_t T) : - result (Hash_map_t T) +(** [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 *) +Fixpoint hashMap_move_elements_from_list_loop + (T : Type) (n : nat) (ntable : HashMap_t T) (ls : List_t T) : + result (HashMap_t T) := match n with | O => Fail_ OutOfFuel | S n0 => match ls with - | ListCons k v tl => - ntable0 <- hash_map_insert_no_resize_fwd_back T n0 ntable k v; - hash_map_move_elements_from_list_loop_fwd_back T n0 ntable0 tl - | ListNil => Return ntable + | 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 + | List_Nil => Return ntable end end . -(** [hashmap::HashMap::{0}::move_elements_from_list]: merged forward/backward function - (there is a single backward function, and the forward function returns ()) *) -Definition hash_map_move_elements_from_list_fwd_back - (T : Type) (n : nat) (ntable : Hash_map_t T) (ls : List_t T) : - result (Hash_map_t T) +(** [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 *) +Definition hashMap_move_elements_from_list + (T : Type) (n : nat) (ntable : HashMap_t T) (ls : List_t T) : + result (HashMap_t T) := - hash_map_move_elements_from_list_loop_fwd_back T n ntable ls + hashMap_move_elements_from_list_loop T n ntable ls . -(** [hashmap::HashMap::{0}::move_elements]: loop 0: merged forward/backward function - (there is a single backward function, and the forward function returns ()) *) -Fixpoint hash_map_move_elements_loop_fwd_back - (T : Type) (n : nat) (ntable : Hash_map_t T) (slots : vec (List_t T)) - (i : usize) : - result ((Hash_map_t T) * (vec (List_t T))) +(** [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 *) +Fixpoint hashMap_move_elements_loop + (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))) := match n with | O => Fail_ OutOfFuel | S n0 => - let i0 := vec_len (List_t T) slots in + let i0 := alloc_vec_Vec_len (List_t T) slots in if i s< i0 then ( - l <- vec_index_mut_fwd (List_t T) slots i; - let ls := mem_replace_fwd (List_t T) l ListNil in - ntable0 <- hash_map_move_elements_from_list_fwd_back T n0 ntable ls; + l <- + 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 := mem_replace_back (List_t T) l ListNil in - slots0 <- vec_index_mut_back (List_t T) slots i l0; - hash_map_move_elements_loop_fwd_back T n0 ntable0 slots0 i1) + 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) else Return (ntable, slots) end . -(** [hashmap::HashMap::{0}::move_elements]: merged forward/backward function - (there is a single backward function, and the forward function returns ()) *) -Definition hash_map_move_elements_fwd_back - (T : Type) (n : nat) (ntable : Hash_map_t T) (slots : vec (List_t T)) - (i : usize) : - result ((Hash_map_t T) * (vec (List_t T))) +(** [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 *) +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))) := - hash_map_move_elements_loop_fwd_back T n ntable slots i + hashMap_move_elements_loop T n ntable slots i . -(** [hashmap::HashMap::{0}::try_resize]: merged forward/backward function - (there is a single backward function, and the forward function returns ()) *) -Definition hash_map_try_resize_fwd_back - (T : Type) (n : nat) (self : Hash_map_t T) : result (Hash_map_t T) := - max_usize <- scalar_cast U32 Usize core_num_u32_max_c; - let capacity := vec_len (List_t T) self.(Hash_map_slots) in +(** [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 *) +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.(Hash_map_max_load_factor) in + let (i, i0) := self.(hashMap_max_load_factor) in i1 <- usize_div n1 i; if capacity s<= i1 then ( i2 <- usize_mul capacity 2%usize; - ntable <- hash_map_new_with_capacity_fwd T n i2 i i0; - p <- - hash_map_move_elements_fwd_back T n ntable self.(Hash_map_slots) 0%usize; + ntable <- hashMap_new_with_capacity T n i2 i i0; + p <- hashMap_move_elements T n ntable self.(hashMap_slots) 0%usize; let (ntable0, _) := p in Return {| - Hash_map_num_entries := self.(Hash_map_num_entries); - Hash_map_max_load_factor := (i, i0); - Hash_map_max_load := ntable0.(Hash_map_max_load); - Hash_map_slots := ntable0.(Hash_map_slots) + 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) |}) else Return {| - Hash_map_num_entries := self.(Hash_map_num_entries); - Hash_map_max_load_factor := (i, i0); - Hash_map_max_load := self.(Hash_map_max_load); - Hash_map_slots := self.(Hash_map_slots) + hashMap_num_entries := self.(hashMap_num_entries); + hashMap_max_load_factor := (i, i0); + hashMap_max_load := self.(hashMap_max_load); + hashMap_slots := self.(hashMap_slots) |} . -(** [hashmap::HashMap::{0}::insert]: merged forward/backward function - (there is a single backward function, and the forward function returns ()) *) -Definition hash_map_insert_fwd_back - (T : Type) (n : nat) (self : Hash_map_t T) (key : usize) (value : T) : - result (Hash_map_t T) +(** [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 *) +Definition hashMap_insert + (T : Type) (n : nat) (self : HashMap_t T) (key : usize) (value : T) : + result (HashMap_t T) := - self0 <- hash_map_insert_no_resize_fwd_back T n self key value; - i <- hash_map_len_fwd T self0; - if i s> self0.(Hash_map_max_load) - then hash_map_try_resize_fwd_back T n self0 + 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 . -(** [hashmap::HashMap::{0}::contains_key_in_list]: loop 0: forward function *) -Fixpoint hash_map_contains_key_in_list_loop_fwd +(** [hashmap::{hashmap::HashMap<T>}::contains_key_in_list]: loop 0: forward function + 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 => match ls with - | ListCons ckey t tl => + | List_Cons ckey t tl => if ckey s= key then Return true - else hash_map_contains_key_in_list_loop_fwd T n0 key tl - | ListNil => Return false + else hashMap_contains_key_in_list_loop T n0 key tl + | List_Nil => Return false end end . -(** [hashmap::HashMap::{0}::contains_key_in_list]: forward function *) -Definition hash_map_contains_key_in_list_fwd +(** [hashmap::{hashmap::HashMap<T>}::contains_key_in_list]: forward function + 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 := - hash_map_contains_key_in_list_loop_fwd T n key ls + hashMap_contains_key_in_list_loop T n key ls . -(** [hashmap::HashMap::{0}::contains_key]: forward function *) -Definition hash_map_contains_key_fwd - (T : Type) (n : nat) (self : Hash_map_t T) (key : usize) : result bool := - hash <- hash_key_fwd key; - let i := vec_len (List_t T) self.(Hash_map_slots) in +(** [hashmap::{hashmap::HashMap<T>}::contains_key]: forward function + 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 := + hash <- hash_key key; + let i := alloc_vec_Vec_len (List_t T) self.(hashMap_slots) in hash_mod <- usize_rem hash i; - l <- vec_index_fwd (List_t T) self.(Hash_map_slots) hash_mod; - hash_map_contains_key_in_list_fwd T n key l + l <- + alloc_vec_Vec_index (List_t T) usize + (core_slice_index_SliceIndexUsizeSliceTInst (List_t T)) + self.(hashMap_slots) hash_mod; + hashMap_contains_key_in_list T n key l . -(** [hashmap::HashMap::{0}::get_in_list]: loop 0: forward function *) -Fixpoint hash_map_get_in_list_loop_fwd +(** [hashmap::{hashmap::HashMap<T>}::get_in_list]: loop 0: forward function + 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 => match ls with - | ListCons ckey cvalue tl => + | List_Cons ckey cvalue tl => if ckey s= key then Return cvalue - else hash_map_get_in_list_loop_fwd T n0 key tl - | ListNil => Fail_ Failure + else hashMap_get_in_list_loop T n0 key tl + | List_Nil => Fail_ Failure end end . -(** [hashmap::HashMap::{0}::get_in_list]: forward function *) -Definition hash_map_get_in_list_fwd +(** [hashmap::{hashmap::HashMap<T>}::get_in_list]: forward function + 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 := - hash_map_get_in_list_loop_fwd T n key ls + hashMap_get_in_list_loop T n key ls . -(** [hashmap::HashMap::{0}::get]: forward function *) -Definition hash_map_get_fwd - (T : Type) (n : nat) (self : Hash_map_t T) (key : usize) : result T := - hash <- hash_key_fwd key; - let i := vec_len (List_t T) self.(Hash_map_slots) in +(** [hashmap::{hashmap::HashMap<T>}::get]: forward function + Source: 'src/hashmap.rs', lines 239:4-239:55 *) +Definition hashMap_get + (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 <- vec_index_fwd (List_t T) self.(Hash_map_slots) hash_mod; - hash_map_get_in_list_fwd T n key l + l <- + alloc_vec_Vec_index (List_t T) usize + (core_slice_index_SliceIndexUsizeSliceTInst (List_t T)) + self.(hashMap_slots) hash_mod; + hashMap_get_in_list T n key l . -(** [hashmap::HashMap::{0}::get_mut_in_list]: loop 0: forward function *) -Fixpoint hash_map_get_mut_in_list_loop_fwd +(** [hashmap::{hashmap::HashMap<T>}::get_mut_in_list]: loop 0: forward function + 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 - | ListCons ckey cvalue tl => + | List_Cons ckey cvalue tl => if ckey s= key then Return cvalue - else hash_map_get_mut_in_list_loop_fwd T n0 tl key - | ListNil => Fail_ Failure + else hashMap_get_mut_in_list_loop T n0 tl key + | List_Nil => Fail_ Failure end end . -(** [hashmap::HashMap::{0}::get_mut_in_list]: forward function *) -Definition hash_map_get_mut_in_list_fwd +(** [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 := - hash_map_get_mut_in_list_loop_fwd T n ls key + hashMap_get_mut_in_list_loop T n ls key . -(** [hashmap::HashMap::{0}::get_mut_in_list]: loop 0: backward function 0 *) -Fixpoint hash_map_get_mut_in_list_loop_back +(** [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) := @@ -396,198 +441,231 @@ Fixpoint hash_map_get_mut_in_list_loop_back | O => Fail_ OutOfFuel | S n0 => match ls with - | ListCons ckey cvalue tl => + | List_Cons ckey cvalue tl => if ckey s= key - then Return (ListCons ckey ret tl) + then Return (List_Cons ckey ret tl) else ( - tl0 <- hash_map_get_mut_in_list_loop_back T n0 tl key ret; - Return (ListCons ckey cvalue tl0)) - | ListNil => Fail_ Failure + tl0 <- hashMap_get_mut_in_list_loop_back T n0 tl key ret; + Return (List_Cons ckey cvalue tl0)) + | List_Nil => Fail_ Failure end end . -(** [hashmap::HashMap::{0}::get_mut_in_list]: backward function 0 *) -Definition hash_map_get_mut_in_list_back +(** [hashmap::{hashmap::HashMap<T>}::get_mut_in_list]: backward function 0 + 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) := - hash_map_get_mut_in_list_loop_back T n ls key ret + hashMap_get_mut_in_list_loop_back T n ls key ret . -(** [hashmap::HashMap::{0}::get_mut]: forward function *) -Definition hash_map_get_mut_fwd - (T : Type) (n : nat) (self : Hash_map_t T) (key : usize) : result T := - hash <- hash_key_fwd key; - let i := vec_len (List_t T) self.(Hash_map_slots) in +(** [hashmap::{hashmap::HashMap<T>}::get_mut]: forward function + 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 <- vec_index_mut_fwd (List_t T) self.(Hash_map_slots) hash_mod; - hash_map_get_mut_in_list_fwd T n l key -. - -(** [hashmap::HashMap::{0}::get_mut]: backward function 0 *) -Definition hash_map_get_mut_back - (T : Type) (n : nat) (self : Hash_map_t T) (key : usize) (ret : T) : - result (Hash_map_t T) + 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) := - hash <- hash_key_fwd key; - let i := vec_len (List_t T) self.(Hash_map_slots) in + hash <- hash_key key; + let i := alloc_vec_Vec_len (List_t T) self.(hashMap_slots) in hash_mod <- usize_rem hash i; - l <- vec_index_mut_fwd (List_t T) self.(Hash_map_slots) hash_mod; - l0 <- hash_map_get_mut_in_list_back T n l key ret; - v <- vec_index_mut_back (List_t T) self.(Hash_map_slots) hash_mod l0; + l <- + 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 {| - Hash_map_num_entries := self.(Hash_map_num_entries); - Hash_map_max_load_factor := self.(Hash_map_max_load_factor); - Hash_map_max_load := self.(Hash_map_max_load); - Hash_map_slots := v + 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::{0}::remove_from_list]: loop 0: forward function *) -Fixpoint hash_map_remove_from_list_loop_fwd +(** [hashmap::{hashmap::HashMap<T>}::remove_from_list]: loop 0: forward function + 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) := match n with | O => Fail_ OutOfFuel | S n0 => match ls with - | ListCons ckey t tl => + | List_Cons ckey t tl => if ckey s= key then - let mv_ls := mem_replace_fwd (List_t T) (ListCons ckey t tl) ListNil in + let mv_ls := core_mem_replace (List_t T) (List_Cons ckey t tl) List_Nil + in match mv_ls with - | ListCons i cvalue tl0 => Return (Some cvalue) - | ListNil => Fail_ Failure + | List_Cons i cvalue tl0 => Return (Some cvalue) + | List_Nil => Fail_ Failure end - else hash_map_remove_from_list_loop_fwd T n0 key tl - | ListNil => Return None + else hashMap_remove_from_list_loop T n0 key tl + | List_Nil => Return None end end . -(** [hashmap::HashMap::{0}::remove_from_list]: forward function *) -Definition hash_map_remove_from_list_fwd +(** [hashmap::{hashmap::HashMap<T>}::remove_from_list]: forward function + 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) := - hash_map_remove_from_list_loop_fwd T n key ls + hashMap_remove_from_list_loop T n key ls . -(** [hashmap::HashMap::{0}::remove_from_list]: loop 0: backward function 1 *) -Fixpoint hash_map_remove_from_list_loop_back +(** [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 - | ListCons ckey t tl => + | List_Cons ckey t tl => if ckey s= key then - let mv_ls := mem_replace_fwd (List_t T) (ListCons ckey t tl) ListNil in + let mv_ls := core_mem_replace (List_t T) (List_Cons ckey t tl) List_Nil + in match mv_ls with - | ListCons i cvalue tl0 => Return tl0 - | ListNil => Fail_ Failure + | List_Cons i cvalue tl0 => Return tl0 + | List_Nil => Fail_ Failure end else ( - tl0 <- hash_map_remove_from_list_loop_back T n0 key tl; - Return (ListCons ckey t tl0)) - | ListNil => Return ListNil + 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::{0}::remove_from_list]: backward function 1 *) -Definition hash_map_remove_from_list_back +(** [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) := - hash_map_remove_from_list_loop_back T n key ls + hashMap_remove_from_list_loop_back T n key ls . -(** [hashmap::HashMap::{0}::remove]: forward function *) -Definition hash_map_remove_fwd - (T : Type) (n : nat) (self : Hash_map_t T) (key : usize) : +(** [hashmap::{hashmap::HashMap<T>}::remove]: forward function + 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_fwd key; - let i := vec_len (List_t T) self.(Hash_map_slots) in + hash <- hash_key key; + let i := alloc_vec_Vec_len (List_t T) self.(hashMap_slots) in hash_mod <- usize_rem hash i; - l <- vec_index_mut_fwd (List_t T) self.(Hash_map_slots) hash_mod; - x <- hash_map_remove_from_list_fwd T n key l; + 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.(Hash_map_num_entries) 1%usize; Return (Some x0) + _ <- usize_sub self.(hashMap_num_entries) 1%usize; Return (Some x0) end . -(** [hashmap::HashMap::{0}::remove]: backward function 0 *) -Definition hash_map_remove_back - (T : Type) (n : nat) (self : Hash_map_t T) (key : usize) : - result (Hash_map_t T) +(** [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) := - hash <- hash_key_fwd key; - let i := vec_len (List_t T) self.(Hash_map_slots) in + hash <- hash_key key; + let i := alloc_vec_Vec_len (List_t T) self.(hashMap_slots) in hash_mod <- usize_rem hash i; - l <- vec_index_mut_fwd (List_t T) self.(Hash_map_slots) hash_mod; - x <- hash_map_remove_from_list_fwd T n key l; + 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 => - l0 <- hash_map_remove_from_list_back T n key l; - v <- vec_index_mut_back (List_t T) self.(Hash_map_slots) hash_mod l0; + 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 {| - Hash_map_num_entries := self.(Hash_map_num_entries); - Hash_map_max_load_factor := self.(Hash_map_max_load_factor); - Hash_map_max_load := self.(Hash_map_max_load); - Hash_map_slots := v + 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.(Hash_map_num_entries) 1%usize; - l0 <- hash_map_remove_from_list_back T n key l; - v <- vec_index_mut_back (List_t T) self.(Hash_map_slots) hash_mod l0; + 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 {| - Hash_map_num_entries := i0; - Hash_map_max_load_factor := self.(Hash_map_max_load_factor); - Hash_map_max_load := self.(Hash_map_max_load); - Hash_map_slots := v + hashMap_num_entries := i0; + hashMap_max_load_factor := self.(hashMap_max_load_factor); + hashMap_max_load := self.(hashMap_max_load); + hashMap_slots := v |} end . -(** [hashmap::test1]: forward function *) -Definition test1_fwd (n : nat) : result unit := - hm <- hash_map_new_fwd u64 n; - hm0 <- hash_map_insert_fwd_back u64 n hm 0%usize 42%u64; - hm1 <- hash_map_insert_fwd_back u64 n hm0 128%usize 18%u64; - hm2 <- hash_map_insert_fwd_back u64 n hm1 1024%usize 138%u64; - hm3 <- hash_map_insert_fwd_back u64 n hm2 1056%usize 256%u64; - i <- hash_map_get_fwd u64 n hm3 128%usize; +(** [hashmap::test1]: forward function + 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; if negb (i s= 18%u64) then Fail_ Failure else ( - hm4 <- hash_map_get_mut_back u64 n hm3 1024%usize 56%u64; - i0 <- hash_map_get_fwd u64 n hm4 1024%usize; + 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) then Fail_ Failure else ( - x <- hash_map_remove_fwd u64 n hm4 1024%usize; + x <- hashMap_remove u64 n hm4 1024%usize; match x with | None => Fail_ Failure | Some x0 => if negb (x0 s= 56%u64) then Fail_ Failure else ( - hm5 <- hash_map_remove_back u64 n hm4 1024%usize; - i1 <- hash_map_get_fwd u64 n hm5 0%usize; + hm5 <- hashMap_remove_back u64 n hm4 1024%usize; + i1 <- hashMap_get u64 n hm5 0%usize; if negb (i1 s= 42%u64) then Fail_ Failure else ( - i2 <- hash_map_get_fwd u64 n hm5 128%usize; + i2 <- hashMap_get u64 n hm5 128%usize; if negb (i2 s= 18%u64) then Fail_ Failure else ( - i3 <- hash_map_get_fwd u64 n hm5 1056%usize; + i3 <- hashMap_get u64 n hm5 1056%usize; if negb (i3 s= 256%u64) then Fail_ Failure else Return tt))) end)) . -End Hashmap_Funs . +End Hashmap_Funs. diff --git a/tests/coq/hashmap/Hashmap_Types.v b/tests/coq/hashmap/Hashmap_Types.v index dbde6be9..80a43593 100644 --- a/tests/coq/hashmap/Hashmap_Types.v +++ b/tests/coq/hashmap/Hashmap_Types.v @@ -8,29 +8,31 @@ Import ListNotations. Local Open Scope Primitives_scope. Module Hashmap_Types. -(** [hashmap::List] *) +(** [hashmap::List] + Source: 'src/hashmap.rs', lines 19:0-19:16 *) Inductive List_t (T : Type) := -| ListCons : usize -> T -> List_t T -> List_t T -| ListNil : List_t T +| List_Cons : usize -> T -> List_t T -> List_t T +| List_Nil : List_t T . -Arguments ListCons {T} _ _ _. -Arguments ListNil {T}. +Arguments List_Cons { _ }. +Arguments List_Nil { _ }. -(** [hashmap::HashMap] *) -Record Hash_map_t (T : Type) := -mkHash_map_t { - Hash_map_num_entries : usize; - Hash_map_max_load_factor : (usize * usize); - Hash_map_max_load : usize; - Hash_map_slots : vec (List_t T); +(** [hashmap::HashMap] + Source: 'src/hashmap.rs', lines 35:0-35:21 *) +Record HashMap_t (T : Type) := +mkHashMap_t { + hashMap_num_entries : usize; + hashMap_max_load_factor : (usize * usize); + hashMap_max_load : usize; + hashMap_slots : alloc_vec_Vec (List_t T); } . -Arguments mkHash_map_t {T} _ _ _ _. -Arguments Hash_map_num_entries {T}. -Arguments Hash_map_max_load_factor {T}. -Arguments Hash_map_max_load {T}. -Arguments Hash_map_slots {T}. +Arguments mkHashMap_t { _ }. +Arguments hashMap_num_entries { _ }. +Arguments hashMap_max_load_factor { _ }. +Arguments hashMap_max_load { _ }. +Arguments hashMap_slots { _ }. -End Hashmap_Types . +End Hashmap_Types. diff --git a/tests/coq/hashmap/Primitives.v b/tests/coq/hashmap/Primitives.v index 71a2d9c3..99ffe070 100644 --- a/tests/coq/hashmap/Primitives.v +++ b/tests/coq/hashmap/Primitives.v @@ -63,13 +63,15 @@ Check (if true then Return (1 + 2) else Fail_ Failure)%global = 3. (*** Misc *) - Definition string := Coq.Strings.String.string. Definition char := Coq.Strings.Ascii.ascii. Definition char_of_byte := Coq.Strings.Ascii.ascii_of_byte. -Definition mem_replace_fwd (a : Type) (x : a) (y : a) : a := x . -Definition mem_replace_back (a : Type) (x : a) (y : a) : a := y . +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 . + +Record mut_raw_ptr (T : Type) := { mut_raw_ptr_v : T }. +Record const_raw_ptr (T : Type) := { const_raw_ptr_v : T }. (*** Scalars *) @@ -253,6 +255,12 @@ Definition scalar_rem {ty} (x y: scalar ty) : result (scalar ty) := mk_scalar ty Definition scalar_neg {ty} (x: scalar ty) : result (scalar ty) := mk_scalar ty (-(to_Z x)). +Axiom scalar_xor : forall ty, scalar ty -> scalar ty -> scalar ty. (* TODO *) +Axiom scalar_or : forall ty, scalar ty -> scalar ty -> scalar ty. (* TODO *) +Axiom scalar_and : forall ty, scalar ty -> scalar ty -> scalar ty. (* TODO *) +Axiom scalar_shl : forall ty0 ty1, scalar ty0 -> scalar ty1 -> result (scalar ty0). (* TODO *) +Axiom scalar_shr : forall ty0 ty1, scalar ty0 -> scalar ty1 -> result (scalar ty0). (* TODO *) + (** Cast an integer from a [src_ty] to a [tgt_ty] *) (* TODO: check the semantics of casts in Rust *) Definition scalar_cast (src_ty tgt_ty : scalar_ty) (x : scalar src_ty) : result (scalar tgt_ty) := @@ -370,6 +378,76 @@ Definition u32_mul := @scalar_mul U32. Definition u64_mul := @scalar_mul U64. Definition u128_mul := @scalar_mul U128. +(** Xor *) +Definition u8_xor := @scalar_xor U8. +Definition u16_xor := @scalar_xor U16. +Definition u32_xor := @scalar_xor U32. +Definition u64_xor := @scalar_xor U64. +Definition u128_xor := @scalar_xor U128. +Definition usize_xor := @scalar_xor Usize. +Definition i8_xor := @scalar_xor I8. +Definition i16_xor := @scalar_xor I16. +Definition i32_xor := @scalar_xor I32. +Definition i64_xor := @scalar_xor I64. +Definition i128_xor := @scalar_xor I128. +Definition isize_xor := @scalar_xor Isize. + +(** Or *) +Definition u8_or := @scalar_or U8. +Definition u16_or := @scalar_or U16. +Definition u32_or := @scalar_or U32. +Definition u64_or := @scalar_or U64. +Definition u128_or := @scalar_or U128. +Definition usize_or := @scalar_or Usize. +Definition i8_or := @scalar_or I8. +Definition i16_or := @scalar_or I16. +Definition i32_or := @scalar_or I32. +Definition i64_or := @scalar_or I64. +Definition i128_or := @scalar_or I128. +Definition isize_or := @scalar_or Isize. + +(** And *) +Definition u8_and := @scalar_and U8. +Definition u16_and := @scalar_and U16. +Definition u32_and := @scalar_and U32. +Definition u64_and := @scalar_and U64. +Definition u128_and := @scalar_and U128. +Definition usize_and := @scalar_and Usize. +Definition i8_and := @scalar_and I8. +Definition i16_and := @scalar_and I16. +Definition i32_and := @scalar_and I32. +Definition i64_and := @scalar_and I64. +Definition i128_and := @scalar_and I128. +Definition isize_and := @scalar_and Isize. + +(** Shift left *) +Definition u8_shl {ty} := @scalar_shl U8 ty. +Definition u16_shl {ty} := @scalar_shl U16 ty. +Definition u32_shl {ty} := @scalar_shl U32 ty. +Definition u64_shl {ty} := @scalar_shl U64 ty. +Definition u128_shl {ty} := @scalar_shl U128 ty. +Definition usize_shl {ty} := @scalar_shl Usize ty. +Definition i8_shl {ty} := @scalar_shl I8 ty. +Definition i16_shl {ty} := @scalar_shl I16 ty. +Definition i32_shl {ty} := @scalar_shl I32 ty. +Definition i64_shl {ty} := @scalar_shl I64 ty. +Definition i128_shl {ty} := @scalar_shl I128 ty. +Definition isize_shl {ty} := @scalar_shl Isize ty. + +(** Shift right *) +Definition u8_shr {ty} := @scalar_shr U8 ty. +Definition u16_shr {ty} := @scalar_shr U16 ty. +Definition u32_shr {ty} := @scalar_shr U32 ty. +Definition u64_shr {ty} := @scalar_shr U64 ty. +Definition u128_shr {ty} := @scalar_shr U128 ty. +Definition usize_shr {ty} := @scalar_shr Usize ty. +Definition i8_shr {ty} := @scalar_shr I8 ty. +Definition i16_shr {ty} := @scalar_shr I16 ty. +Definition i32_shr {ty} := @scalar_shr I32 ty. +Definition i64_shr {ty} := @scalar_shr I64 ty. +Definition i128_shr {ty} := @scalar_shr I128 ty. +Definition isize_shr {ty} := @scalar_shr Isize ty. + (** Small utility *) Definition usize_to_nat (x: usize) : nat := Z.to_nat (to_Z x). @@ -394,12 +472,89 @@ Notation "x s< y" := (scalar_ltb x y) (at level 80) : Primitives_scope. Notation "x s>= y" := (scalar_geb x y) (at level 80) : Primitives_scope. Notation "x s> y" := (scalar_gtb x y) (at level 80) : Primitives_scope. -(*** Range *) -Record range (T : Type) := mk_range { - start: T; - end_: T; +(** Constants *) +Definition core_u8_max := u8_max %u32. +Definition core_u16_max := u16_max %u32. +Definition core_u32_max := u32_max %u32. +Definition core_u64_max := u64_max %u64. +Definition core_u128_max := u64_max %u128. +Axiom core_usize_max : usize. (** TODO *) +Definition core_i8_max := i8_max %i32. +Definition core_i16_max := i16_max %i32. +Definition core_i32_max := i32_max %i32. +Definition core_i64_max := i64_max %i64. +Definition core_i128_max := i64_max %i128. +Axiom core_isize_max : isize. (** TODO *) + +(*** core::ops *) + +(* Trait declaration: [core::ops::index::Index] *) +Record core_ops_index_Index (Self Idx : Type) := mk_core_ops_index_Index { + core_ops_index_Index_Output : Type; + core_ops_index_Index_index : Self -> Idx -> result core_ops_index_Index_Output; +}. +Arguments mk_core_ops_index_Index {_ _}. +Arguments core_ops_index_Index_Output {_ _}. +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; +}. +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 { + core_ops_deref_Deref_target : Type; + core_ops_deref_Deref_deref : Self -> result core_ops_deref_Deref_target; }. -Arguments mk_range {_}. +Arguments mk_core_ops_deref_Deref {_}. +Arguments core_ops_deref_Deref_target {_}. +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; +}. +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; + core_ops_range_Range_end_ : T; +}. +Arguments mk_core_ops_range_Range {_}. +Arguments core_ops_range_Range_start {_}. +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. + +(* Trait instance *) +Definition alloc_boxed_Box_coreopsDerefInst (Self : Type) : core_ops_deref_Deref Self := {| + core_ops_deref_Deref_target := Self; + core_ops_deref_Deref_deref := alloc_boxed_Box_deref Self; +|}. + +(* Trait instance *) +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; +|}. + (*** Arrays *) Definition array T (n : usize) := { l: list T | Z.of_nat (length l) = to_Z n}. @@ -419,51 +574,50 @@ Qed. (* TODO: finish the definitions *) Axiom mk_array : forall (T : Type) (n : usize) (l : list T), array T n. -Axiom array_index_shared : forall (T : Type) (n : usize) (x : array T n) (i : usize), result T. -Axiom array_index_mut_fwd : forall (T : Type) (n : usize) (x : array T n) (i : usize), result T. -Axiom array_index_mut_back : forall (T : Type) (n : usize) (x : array T n) (i : usize) (nx : T), result (array T n). +(* For initialization *) +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). (*** Slice *) Definition slice T := { l: list T | Z.of_nat (length l) <= usize_max}. Axiom slice_len : forall (T : Type) (s : slice T), usize. -Axiom slice_index_shared : forall (T : Type) (x : slice T) (i : usize), result T. -Axiom slice_index_mut_fwd : forall (T : Type) (x : slice T) (i : usize), result T. -Axiom slice_index_mut_back : forall (T : Type) (x : slice T) (i : usize) (nx : T), result (slice T). +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). (*** Subslices *) -Axiom array_to_slice_shared : forall (T : Type) (n : usize) (x : array T n), result (slice T). -Axiom array_to_slice_mut_fwd : forall (T : Type) (n : usize) (x : array T n), result (slice T). -Axiom array_to_slice_mut_back : forall (T : Type) (n : usize) (x : array T n) (s : slice T), result (array T n). +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). -Axiom array_subslice_shared: forall (T : Type) (n : usize) (x : array T n) (r : range usize), result (slice T). -Axiom array_subslice_mut_fwd: forall (T : Type) (n : usize) (x : array T n) (r : range usize), result (slice T). -Axiom array_subslice_mut_back: forall (T : Type) (n : usize) (x : array T n) (r : range usize) (ns : slice T), result (array T n). -Axiom slice_subslice_shared: forall (T : Type) (x : slice T) (r : range usize), result (slice T). -Axiom slice_subslice_mut_fwd: forall (T : Type) (x : slice T) (r : range usize), result (slice T). -Axiom slice_subslice_mut_back: forall (T : Type) (x : slice T) (r : range usize) (ns : slice T), result (slice T). +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). + +Axiom slice_subslice: forall (T : Type) (x : slice T) (r : core_ops_range_Range usize), result (slice T). +Axiom slice_update_subslice: forall (T : Type) (x : slice T) (r : core_ops_range_Range usize) (ns : slice T), result (slice T). (*** Vectors *) -Definition vec T := { l: list T | Z.of_nat (length l) <= usize_max }. +Definition alloc_vec_Vec T := { l: list T | Z.of_nat (length l) <= usize_max }. -Definition vec_to_list {T: Type} (v: vec T) : list T := proj1_sig v. +Definition alloc_vec_Vec_to_list {T: Type} (v: alloc_vec_Vec T) : list T := proj1_sig v. -Definition vec_length {T: Type} (v: vec T) : Z := Z.of_nat (length (vec_to_list v)). +Definition alloc_vec_Vec_length {T: Type} (v: alloc_vec_Vec T) : Z := Z.of_nat (length (alloc_vec_Vec_to_list v)). -Definition vec_new (T: Type) : vec T := (exist _ [] le_0_usize_max). +Definition alloc_vec_Vec_new (T: Type) : alloc_vec_Vec T := (exist _ [] le_0_usize_max). -Lemma vec_len_in_usize {T} (v: vec T) : usize_min <= vec_length v <= usize_max. +Lemma alloc_vec_Vec_len_in_usize {T} (v: alloc_vec_Vec T) : usize_min <= alloc_vec_Vec_length v <= usize_max. Proof. - unfold vec_length, usize_min. + unfold alloc_vec_Vec_length, usize_min. split. - lia. - apply (proj2_sig v). Qed. -Definition vec_len (T: Type) (v: vec T) : usize := - exist _ (vec_length v) (vec_len_in_usize v). +Definition alloc_vec_Vec_len (T: Type) (v: alloc_vec_Vec T) : usize := + exist _ (alloc_vec_Vec_length v) (alloc_vec_Vec_len_in_usize v). Fixpoint list_update {A} (l: list A) (n: nat) (a: A) : list A := @@ -474,50 +628,279 @@ Fixpoint list_update {A} (l: list A) (n: nat) (a: A) | S m => x :: (list_update t m a) end end. -Definition vec_bind {A B} (v: vec A) (f: list A -> result (list B)) : result (vec B) := - l <- f (vec_to_list v) ; +Definition alloc_vec_Vec_bind {A B} (v: alloc_vec_Vec A) (f: list A -> result (list B)) : result (alloc_vec_Vec B) := + l <- f (alloc_vec_Vec_to_list v) ; match sumbool_of_bool (scalar_le_max Usize (Z.of_nat (length l))) with | left H => Return (exist _ l (scalar_le_max_valid _ _ H)) | right _ => Fail_ Failure end. (* The **forward** function shouldn't be used *) -Definition vec_push_fwd (T: Type) (v: vec T) (x: T) : unit := tt. +Definition alloc_vec_Vec_push_fwd (T: Type) (v: alloc_vec_Vec T) (x: T) : unit := tt. -Definition vec_push_back (T: Type) (v: vec T) (x: T) : result (vec T) := - vec_bind v (fun l => Return (l ++ [x])). +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 vec_insert_fwd (T: Type) (v: vec T) (i: usize) (x: T) : result unit := - if to_Z i <? vec_length v then Return tt else Fail_ Failure. +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 vec_insert_back (T: Type) (v: vec T) (i: usize) (x: T) : result (vec T) := - vec_bind v (fun l => +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) then Return (list_update l (usize_to_nat i) x) else Fail_ Failure). -(* The **backward** function shouldn't be used *) -Definition vec_index_fwd (T: Type) (v: vec T) (i: usize) : result T := - match nth_error (vec_to_list v) (usize_to_nat i) with - | Some n => Return n - | None => Fail_ Failure - end. - -Definition vec_index_back (T: Type) (v: vec T) (i: usize) (x: T) : result unit := - if to_Z i <? vec_length v then Return tt else Fail_ Failure. - -(* The **backward** function shouldn't be used *) -Definition vec_index_mut_fwd (T: Type) (v: vec T) (i: usize) : result T := - match nth_error (vec_to_list v) (usize_to_nat i) with - | Some n => Return n - | None => Fail_ Failure +(* Helper *) +Axiom alloc_vec_Vec_index_usize : forall {T : Type} (v : alloc_vec_Vec T) (i : usize), result T. + +(* Helper *) +Axiom alloc_vec_Vec_update_usize : forall {T : Type} (v : alloc_vec_Vec T) (i : usize) (x : T), result (alloc_vec_Vec T). + +(* Trait declaration: [core::slice::index::private_slice_index::Sealed] *) +Definition core_slice_index_private_slice_index_Sealed (self : Type) := unit. + +(* Trait declaration: [core::slice::index::SliceIndex] *) +Record core_slice_index_SliceIndex (Self T : Type) := mk_core_slice_index_SliceIndex { + 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_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; +}. +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 + (T Idx : Type) (inst : core_slice_index_SliceIndex Idx (slice T)) + (s : slice T) (i : Idx) : result inst.(core_slice_index_SliceIndex_Output) := + x <- inst.(core_slice_index_SliceIndex_get) i s; + match x with + | None => Fail_ Failure + | Some x => Return x end. -Definition vec_index_mut_back (T: Type) (v: vec T) (i: usize) (x: T) : result (vec T) := - vec_bind v (fun l => - if to_Z i <? Z.of_nat (length l) - then Return (list_update l (usize_to_nat i) x) - else Fail_ Failure). +(* [core::slice::index::Range:::get]: forward function *) +Axiom core_slice_index_RangeUsize_get : forall (T : Type) (i : core_ops_range_Range usize) (s : slice T), result (option (slice T)). + +(* [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). + +(* [core::slice::index::Range::get_unchecked]: forward function *) +Definition core_slice_index_RangeUsize_get_unchecked + (T : Type) : + 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 *) +Definition core_slice_index_RangeUsize_get_unchecked_mut + (T : Type) : + 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 *) +Axiom core_slice_index_RangeUsize_index : + forall (T : Type), core_ops_range_Range usize -> slice T -> result (slice T). + +(* [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). + +(* [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). + +(* [core::array::[T; N]::index]: forward function *) +Axiom core_array_Array_index : + forall (T Idx : Type) (N : usize) (inst : core_ops_index_Index (slice T) Idx) + (a : array T N) (i : Idx), result inst.(core_ops_index_Index_Output). + +(* [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). + +(* Trait implementation: [core::slice::index::private_slice_index::Range] *) +Definition core_slice_index_private_slice_index_SealedRangeUsizeInst + : core_slice_index_private_slice_index_Sealed (core_ops_range_Range usize) := tt. + +(* Trait implementation: [core::slice::index::Range] *) +Definition core_slice_index_SliceIndexRangeUsizeSliceTInst (T : Type) : + core_slice_index_SliceIndex (core_ops_range_Range usize) (slice T) := {| + core_slice_index_SliceIndex_sealedInst := core_slice_index_private_slice_index_SealedRangeUsizeInst; + 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]] *) +Definition core_ops_index_IndexSliceTIInst (T Idx : Type) + (inst : core_slice_index_SliceIndex Idx (slice T)) : + core_ops_index_Index (slice T) Idx := {| + core_ops_index_Index_Output := inst.(core_slice_index_SliceIndex_Output); + core_ops_index_Index_index := core_slice_index_Slice_index T Idx inst; +|}. + +(* Trait implementation: [core::slice::index::[T]] *) +Definition core_ops_index_IndexMutSliceTIInst (T Idx : Type) + (inst : core_slice_index_SliceIndex Idx (slice T)) : + 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]] *) +Definition core_ops_index_IndexArrayInst (T Idx : Type) (N : usize) + (inst : core_ops_index_Index (slice T) Idx) : + core_ops_index_Index (array T N) Idx := {| + core_ops_index_Index_Output := inst.(core_ops_index_Index_Output); + core_ops_index_Index_index := core_array_Array_index T Idx N inst; +|}. + +(* Trait implementation: [core::array::[T; N]] *) +Definition core_ops_index_IndexMutArrayInst (T Idx : Type) (N : usize) + (inst : core_ops_index_IndexMut (slice T) Idx) : + 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). + +(* [core::slice::index::usize::get_unchecked]: forward function *) +Axiom core_slice_index_usize_get_unchecked : + forall (T : Type), usize -> const_raw_ptr (slice T) -> result (const_raw_ptr T). + +(* [core::slice::index::usize::get_unchecked_mut]: forward function *) +Axiom core_slice_index_usize_get_unchecked_mut : + forall (T : Type), usize -> mut_raw_ptr (slice T) -> result (mut_raw_ptr T). + +(* [core::slice::index::usize::index]: forward function *) +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). + +(* Trait implementation: [core::slice::index::private_slice_index::usize] *) +Definition core_slice_index_private_slice_index_SealedUsizeInst + : core_slice_index_private_slice_index_Sealed usize := tt. + +(* Trait implementation: [core::slice::index::usize] *) +Definition core_slice_index_SliceIndexUsizeSliceTInst (T : Type) : + core_slice_index_SliceIndex usize (slice T) := {| + core_slice_index_SliceIndex_sealedInst := core_slice_index_private_slice_index_SealedUsizeInst; + 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 *) +Axiom alloc_vec_Vec_index : 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]: 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). + +(* Trait implementation: [alloc::vec::Vec] *) +Definition alloc_vec_Vec_coreopsindexIndexInst (T Idx : Type) + (inst : core_slice_index_SliceIndex Idx (slice T)) : + core_ops_index_Index (alloc_vec_Vec T) Idx := {| + core_ops_index_Index_Output := inst.(core_slice_index_SliceIndex_Output); + core_ops_index_Index_index := alloc_vec_Vec_index T Idx inst; +|}. + +(* Trait implementation: [alloc::vec::Vec] *) +Definition alloc_vec_Vec_coreopsindexIndexMutInst (T Idx : Type) + (inst : core_slice_index_SliceIndex Idx (slice T)) : + 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 *) + +Axiom alloc_vec_Vec_index_eq : forall {a : Type} (v : alloc_vec_Vec a) (i : usize) (x : a), + alloc_vec_Vec_index a usize (core_slice_index_SliceIndexUsizeSliceTInst a) v i = + alloc_vec_Vec_index_usize v i. + +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. End Primitives. diff --git a/tests/coq/hashmap_on_disk/HashmapMain_Funs.v b/tests/coq/hashmap_on_disk/HashmapMain_Funs.v index 657d5590..faba0afe 100644 --- a/tests/coq/hashmap_on_disk/HashmapMain_Funs.v +++ b/tests/coq/hashmap_on_disk/HashmapMain_Funs.v @@ -6,663 +6,715 @@ Require Import Coq.ZArith.ZArith. Require Import List. Import ListNotations. Local Open Scope Primitives_scope. -Require Export HashmapMain_Types. -Import HashmapMain_Types. -Require Export HashmapMain_Opaque. -Import HashmapMain_Opaque. +Require Import HashmapMain_Types. +Include HashmapMain_Types. +Require Import HashmapMain_FunsExternal. +Include HashmapMain_FunsExternal. Module HashmapMain_Funs. -(** [hashmap_main::hashmap::hash_key]: forward function *) -Definition hashmap_hash_key_fwd (k : usize) : result usize := +(** [hashmap_main::hashmap::hash_key]: forward function + Source: 'src/hashmap.rs', lines 27:0-27:32 *) +Definition hashmap_hash_key (k : usize) : result usize := Return k. -(** [hashmap_main::hashmap::HashMap::{0}::allocate_slots]: loop 0: forward function *) -Fixpoint hashmap_hash_map_allocate_slots_loop_fwd - (T : Type) (n : nat) (slots : vec (Hashmap_list_t T)) (n0 : usize) : - result (vec (Hashmap_list_t T)) +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::allocate_slots]: loop 0: forward function + 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) + : + result (alloc_vec_Vec (hashmap_List_t T)) := match n with | O => Fail_ OutOfFuel | S n1 => if n0 s> 0%usize then ( - slots0 <- vec_push_back (Hashmap_list_t T) slots HashmapListNil; + slots0 <- alloc_vec_Vec_push (hashmap_List_t T) slots Hashmap_List_Nil; n2 <- usize_sub n0 1%usize; - hashmap_hash_map_allocate_slots_loop_fwd T n1 slots0 n2) + hashmap_HashMap_allocate_slots_loop T n1 slots0 n2) else Return slots end . -(** [hashmap_main::hashmap::HashMap::{0}::allocate_slots]: forward function *) -Definition hashmap_hash_map_allocate_slots_fwd - (T : Type) (n : nat) (slots : vec (Hashmap_list_t T)) (n0 : usize) : - result (vec (Hashmap_list_t T)) +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::allocate_slots]: forward function + 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) + : + result (alloc_vec_Vec (hashmap_List_t T)) := - hashmap_hash_map_allocate_slots_loop_fwd T n slots n0 + hashmap_HashMap_allocate_slots_loop T n slots n0 . -(** [hashmap_main::hashmap::HashMap::{0}::new_with_capacity]: forward function *) -Definition hashmap_hash_map_new_with_capacity_fwd +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::new_with_capacity]: forward function + 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_hash_map_t T) + result (hashmap_HashMap_t T) := - let v := vec_new (Hashmap_list_t T) in - slots <- hashmap_hash_map_allocate_slots_fwd T n v capacity; + let v := alloc_vec_Vec_new (hashmap_List_t T) in + slots <- hashmap_HashMap_allocate_slots T n v capacity; i <- usize_mul capacity max_load_dividend; i0 <- usize_div i max_load_divisor; Return {| - Hashmap_hash_map_num_entries := 0%usize; - Hashmap_hash_map_max_load_factor := (max_load_dividend, max_load_divisor); - Hashmap_hash_map_max_load := i0; - Hashmap_hash_map_slots := slots + hashmap_HashMap_num_entries := 0%usize; + hashmap_HashMap_max_load_factor := (max_load_dividend, max_load_divisor); + hashmap_HashMap_max_load := i0; + hashmap_HashMap_slots := slots |} . -(** [hashmap_main::hashmap::HashMap::{0}::new]: forward function *) -Definition hashmap_hash_map_new_fwd - (T : Type) (n : nat) : result (Hashmap_hash_map_t T) := - hashmap_hash_map_new_with_capacity_fwd T n 32%usize 4%usize 5%usize +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::new]: forward function + 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::{0}::clear]: loop 0: merged forward/backward function - (there is a single backward function, and the forward function returns ()) *) -Fixpoint hashmap_hash_map_clear_loop_fwd_back - (T : Type) (n : nat) (slots : vec (Hashmap_list_t T)) (i : usize) : - result (vec (Hashmap_list_t T)) +(** [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 *) +Fixpoint hashmap_HashMap_clear_loop + (T : Type) (n : nat) (slots : alloc_vec_Vec (hashmap_List_t T)) (i : usize) : + result (alloc_vec_Vec (hashmap_List_t T)) := match n with | O => Fail_ OutOfFuel | S n0 => - let i0 := vec_len (Hashmap_list_t T) slots in + let i0 := alloc_vec_Vec_len (hashmap_List_t T) slots in if i s< i0 then ( i1 <- usize_add i 1%usize; - slots0 <- vec_index_mut_back (Hashmap_list_t T) slots i HashmapListNil; - hashmap_hash_map_clear_loop_fwd_back T n0 slots0 i1) + slots0 <- + alloc_vec_Vec_index_mut_back (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) else Return slots end . -(** [hashmap_main::hashmap::HashMap::{0}::clear]: merged forward/backward function - (there is a single backward function, and the forward function returns ()) *) -Definition hashmap_hash_map_clear_fwd_back - (T : Type) (n : nat) (self : Hashmap_hash_map_t T) : - result (Hashmap_hash_map_t T) +(** [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 *) +Definition hashmap_HashMap_clear + (T : Type) (n : nat) (self : hashmap_HashMap_t T) : + result (hashmap_HashMap_t T) := - v <- - hashmap_hash_map_clear_loop_fwd_back T n self.(Hashmap_hash_map_slots) - 0%usize; + v <- hashmap_HashMap_clear_loop T n self.(hashmap_HashMap_slots) 0%usize; Return {| - Hashmap_hash_map_num_entries := 0%usize; - Hashmap_hash_map_max_load_factor := - self.(Hashmap_hash_map_max_load_factor); - Hashmap_hash_map_max_load := self.(Hashmap_hash_map_max_load); - Hashmap_hash_map_slots := v + 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_main::hashmap::HashMap::{0}::len]: forward function *) -Definition hashmap_hash_map_len_fwd - (T : Type) (self : Hashmap_hash_map_t T) : result usize := - Return self.(Hashmap_hash_map_num_entries) +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::len]: forward function + 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::{0}::insert_in_list]: loop 0: forward function *) -Fixpoint hashmap_hash_map_insert_in_list_loop_fwd - (T : Type) (n : nat) (key : usize) (value : T) (ls : Hashmap_list_t T) : +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::insert_in_list]: loop 0: forward function + 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 := match n with | O => Fail_ OutOfFuel | S n0 => match ls with - | HashmapListCons ckey cvalue tl => + | Hashmap_List_Cons ckey cvalue tl => if ckey s= key then Return false - else hashmap_hash_map_insert_in_list_loop_fwd T n0 key value tl - | HashmapListNil => Return true + else hashmap_HashMap_insert_in_list_loop T n0 key value tl + | Hashmap_List_Nil => Return true end end . -(** [hashmap_main::hashmap::HashMap::{0}::insert_in_list]: forward function *) -Definition hashmap_hash_map_insert_in_list_fwd - (T : Type) (n : nat) (key : usize) (value : T) (ls : Hashmap_list_t T) : +(** [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_hash_map_insert_in_list_loop_fwd T n key value ls + hashmap_HashMap_insert_in_list_loop T n key value ls . -(** [hashmap_main::hashmap::HashMap::{0}::insert_in_list]: loop 0: backward function 0 *) -Fixpoint hashmap_hash_map_insert_in_list_loop_back - (T : Type) (n : nat) (key : usize) (value : T) (ls : Hashmap_list_t T) : - result (Hashmap_list_t T) +(** [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 => match ls with - | HashmapListCons ckey cvalue tl => + | Hashmap_List_Cons ckey cvalue tl => if ckey s= key - then Return (HashmapListCons ckey value tl) + then Return (Hashmap_List_Cons ckey value tl) else ( - tl0 <- hashmap_hash_map_insert_in_list_loop_back T n0 key value tl; - Return (HashmapListCons ckey cvalue tl0)) - | HashmapListNil => - let l := HashmapListNil in Return (HashmapListCons key value l) + tl0 <- hashmap_HashMap_insert_in_list_loop_back T n0 key value tl; + Return (Hashmap_List_Cons ckey cvalue tl0)) + | Hashmap_List_Nil => + let l := Hashmap_List_Nil in Return (Hashmap_List_Cons key value l) end end . -(** [hashmap_main::hashmap::HashMap::{0}::insert_in_list]: backward function 0 *) -Definition hashmap_hash_map_insert_in_list_back - (T : Type) (n : nat) (key : usize) (value : T) (ls : Hashmap_list_t T) : - result (Hashmap_list_t T) +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::insert_in_list]: backward function 0 + Source: 'src/hashmap.rs', lines 97:4-97:71 *) +Definition hashmap_HashMap_insert_in_list_back + (T : Type) (n : nat) (key : usize) (value : T) (ls : hashmap_List_t T) : + result (hashmap_List_t T) := - hashmap_hash_map_insert_in_list_loop_back T n key value ls + hashmap_HashMap_insert_in_list_loop_back T n key value ls . -(** [hashmap_main::hashmap::HashMap::{0}::insert_no_resize]: merged forward/backward function - (there is a single backward function, and the forward function returns ()) *) -Definition hashmap_hash_map_insert_no_resize_fwd_back - (T : Type) (n : nat) (self : Hashmap_hash_map_t T) (key : usize) (value : T) - : - result (Hashmap_hash_map_t T) +(** [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 *) +Definition hashmap_HashMap_insert_no_resize + (T : Type) (n : nat) (self : hashmap_HashMap_t T) (key : usize) (value : T) : + result (hashmap_HashMap_t T) := - hash <- hashmap_hash_key_fwd key; - let i := vec_len (Hashmap_list_t T) self.(Hashmap_hash_map_slots) in + 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 <- - vec_index_mut_fwd (Hashmap_list_t T) self.(Hashmap_hash_map_slots) hash_mod; - inserted <- hashmap_hash_map_insert_in_list_fwd T n key value 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; + inserted <- hashmap_HashMap_insert_in_list T n key value l; if inserted then ( - i0 <- usize_add self.(Hashmap_hash_map_num_entries) 1%usize; - l0 <- hashmap_hash_map_insert_in_list_back T n key value l; + i0 <- usize_add self.(hashmap_HashMap_num_entries) 1%usize; + l0 <- hashmap_HashMap_insert_in_list_back T n key value l; v <- - vec_index_mut_back (Hashmap_list_t T) self.(Hashmap_hash_map_slots) - hash_mod l0; + 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_hash_map_num_entries := i0; - Hashmap_hash_map_max_load_factor := - self.(Hashmap_hash_map_max_load_factor); - Hashmap_hash_map_max_load := self.(Hashmap_hash_map_max_load); - Hashmap_hash_map_slots := v + hashmap_HashMap_num_entries := i0; + 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_hash_map_insert_in_list_back T n key value l; + l0 <- hashmap_HashMap_insert_in_list_back T n key value l; v <- - vec_index_mut_back (Hashmap_list_t T) self.(Hashmap_hash_map_slots) - hash_mod l0; + 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_hash_map_num_entries := self.(Hashmap_hash_map_num_entries); - Hashmap_hash_map_max_load_factor := - self.(Hashmap_hash_map_max_load_factor); - Hashmap_hash_map_max_load := self.(Hashmap_hash_map_max_load); - Hashmap_hash_map_slots := v + 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 |}) . -(** [core::num::u32::{8}::MAX] *) -Definition core_num_u32_max_body : result u32 := Return 4294967295%u32. -Definition core_num_u32_max_c : u32 := core_num_u32_max_body%global. - -(** [hashmap_main::hashmap::HashMap::{0}::move_elements_from_list]: loop 0: merged forward/backward function - (there is a single backward function, and the forward function returns ()) *) -Fixpoint hashmap_hash_map_move_elements_from_list_loop_fwd_back - (T : Type) (n : nat) (ntable : Hashmap_hash_map_t T) (ls : Hashmap_list_t T) - : - result (Hashmap_hash_map_t T) +(** [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 *) +Fixpoint hashmap_HashMap_move_elements_from_list_loop + (T : Type) (n : nat) (ntable : hashmap_HashMap_t T) (ls : hashmap_List_t T) : + result (hashmap_HashMap_t T) := match n with | O => Fail_ OutOfFuel | S n0 => match ls with - | HashmapListCons k v tl => - ntable0 <- hashmap_hash_map_insert_no_resize_fwd_back T n0 ntable k v; - hashmap_hash_map_move_elements_from_list_loop_fwd_back T n0 ntable0 tl - | HashmapListNil => Return ntable + | 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 + | Hashmap_List_Nil => Return ntable end end . -(** [hashmap_main::hashmap::HashMap::{0}::move_elements_from_list]: merged forward/backward function - (there is a single backward function, and the forward function returns ()) *) -Definition hashmap_hash_map_move_elements_from_list_fwd_back - (T : Type) (n : nat) (ntable : Hashmap_hash_map_t T) (ls : Hashmap_list_t T) - : - result (Hashmap_hash_map_t T) +(** [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 *) +Definition hashmap_HashMap_move_elements_from_list + (T : Type) (n : nat) (ntable : hashmap_HashMap_t T) (ls : hashmap_List_t T) : + result (hashmap_HashMap_t T) := - hashmap_hash_map_move_elements_from_list_loop_fwd_back T n ntable ls + hashmap_HashMap_move_elements_from_list_loop T n ntable ls . -(** [hashmap_main::hashmap::HashMap::{0}::move_elements]: loop 0: merged forward/backward function - (there is a single backward function, and the forward function returns ()) *) -Fixpoint hashmap_hash_map_move_elements_loop_fwd_back - (T : Type) (n : nat) (ntable : Hashmap_hash_map_t T) - (slots : vec (Hashmap_list_t T)) (i : usize) : - result ((Hashmap_hash_map_t T) * (vec (Hashmap_list_t T))) +(** [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 *) +Fixpoint hashmap_HashMap_move_elements_loop + (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))) := match n with | O => Fail_ OutOfFuel | S n0 => - let i0 := vec_len (Hashmap_list_t T) slots in + let i0 := alloc_vec_Vec_len (hashmap_List_t T) slots in if i s< i0 then ( - l <- vec_index_mut_fwd (Hashmap_list_t T) slots i; - let ls := mem_replace_fwd (Hashmap_list_t T) l HashmapListNil in - ntable0 <- - hashmap_hash_map_move_elements_from_list_fwd_back T n0 ntable ls; + l <- + 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 := mem_replace_back (Hashmap_list_t T) l HashmapListNil in - slots0 <- vec_index_mut_back (Hashmap_list_t T) slots i l0; - hashmap_hash_map_move_elements_loop_fwd_back T n0 ntable0 slots0 i1) + 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) else Return (ntable, slots) end . -(** [hashmap_main::hashmap::HashMap::{0}::move_elements]: merged forward/backward function - (there is a single backward function, and the forward function returns ()) *) -Definition hashmap_hash_map_move_elements_fwd_back - (T : Type) (n : nat) (ntable : Hashmap_hash_map_t T) - (slots : vec (Hashmap_list_t T)) (i : usize) : - result ((Hashmap_hash_map_t T) * (vec (Hashmap_list_t T))) +(** [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 *) +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_hash_map_move_elements_loop_fwd_back T n ntable slots i + hashmap_HashMap_move_elements_loop T n ntable slots i . -(** [hashmap_main::hashmap::HashMap::{0}::try_resize]: merged forward/backward function - (there is a single backward function, and the forward function returns ()) *) -Definition hashmap_hash_map_try_resize_fwd_back - (T : Type) (n : nat) (self : Hashmap_hash_map_t T) : - result (Hashmap_hash_map_t T) +(** [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 *) +Definition hashmap_HashMap_try_resize + (T : Type) (n : nat) (self : hashmap_HashMap_t T) : + result (hashmap_HashMap_t T) := - max_usize <- scalar_cast U32 Usize core_num_u32_max_c; - let capacity := vec_len (Hashmap_list_t T) self.(Hashmap_hash_map_slots) in + max_usize <- scalar_cast U32 Usize core_u32_max; + 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_hash_map_max_load_factor) in + let (i, i0) := self.(hashmap_HashMap_max_load_factor) in i1 <- usize_div n1 i; if capacity s<= i1 then ( i2 <- usize_mul capacity 2%usize; - ntable <- hashmap_hash_map_new_with_capacity_fwd T n i2 i i0; + ntable <- hashmap_HashMap_new_with_capacity T n i2 i i0; p <- - hashmap_hash_map_move_elements_fwd_back T n ntable - self.(Hashmap_hash_map_slots) 0%usize; + hashmap_HashMap_move_elements T n ntable self.(hashmap_HashMap_slots) + 0%usize; let (ntable0, _) := p in Return {| - Hashmap_hash_map_num_entries := self.(Hashmap_hash_map_num_entries); - Hashmap_hash_map_max_load_factor := (i, i0); - Hashmap_hash_map_max_load := ntable0.(Hashmap_hash_map_max_load); - Hashmap_hash_map_slots := ntable0.(Hashmap_hash_map_slots) + 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) |}) else Return {| - Hashmap_hash_map_num_entries := self.(Hashmap_hash_map_num_entries); - Hashmap_hash_map_max_load_factor := (i, i0); - Hashmap_hash_map_max_load := self.(Hashmap_hash_map_max_load); - Hashmap_hash_map_slots := self.(Hashmap_hash_map_slots) + hashmap_HashMap_num_entries := self.(hashmap_HashMap_num_entries); + hashmap_HashMap_max_load_factor := (i, i0); + hashmap_HashMap_max_load := self.(hashmap_HashMap_max_load); + hashmap_HashMap_slots := self.(hashmap_HashMap_slots) |} . -(** [hashmap_main::hashmap::HashMap::{0}::insert]: merged forward/backward function - (there is a single backward function, and the forward function returns ()) *) -Definition hashmap_hash_map_insert_fwd_back - (T : Type) (n : nat) (self : Hashmap_hash_map_t T) (key : usize) (value : T) - : - result (Hashmap_hash_map_t T) +(** [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 *) +Definition hashmap_HashMap_insert + (T : Type) (n : nat) (self : hashmap_HashMap_t T) (key : usize) (value : T) : + result (hashmap_HashMap_t T) := - self0 <- hashmap_hash_map_insert_no_resize_fwd_back T n self key value; - i <- hashmap_hash_map_len_fwd T self0; - if i s> self0.(Hashmap_hash_map_max_load) - then hashmap_hash_map_try_resize_fwd_back T n self0 + 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 . -(** [hashmap_main::hashmap::HashMap::{0}::contains_key_in_list]: loop 0: forward function *) -Fixpoint hashmap_hash_map_contains_key_in_list_loop_fwd - (T : Type) (n : nat) (key : usize) (ls : Hashmap_list_t T) : result bool := +(** [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 *) +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 => match ls with - | HashmapListCons ckey t tl => + | Hashmap_List_Cons ckey t tl => if ckey s= key then Return true - else hashmap_hash_map_contains_key_in_list_loop_fwd T n0 key tl - | HashmapListNil => Return false + else hashmap_HashMap_contains_key_in_list_loop T n0 key tl + | Hashmap_List_Nil => Return false end end . -(** [hashmap_main::hashmap::HashMap::{0}::contains_key_in_list]: forward function *) -Definition hashmap_hash_map_contains_key_in_list_fwd - (T : Type) (n : nat) (key : usize) (ls : Hashmap_list_t T) : result bool := - hashmap_hash_map_contains_key_in_list_loop_fwd T n key ls +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::contains_key_in_list]: forward function + 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::{0}::contains_key]: forward function *) -Definition hashmap_hash_map_contains_key_fwd - (T : Type) (n : nat) (self : Hashmap_hash_map_t T) (key : usize) : +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::contains_key]: forward function + 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) : result bool := - hash <- hashmap_hash_key_fwd key; - let i := vec_len (Hashmap_list_t T) self.(Hashmap_hash_map_slots) in + 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 <- vec_index_fwd (Hashmap_list_t T) self.(Hashmap_hash_map_slots) hash_mod; - hashmap_hash_map_contains_key_in_list_fwd T n key l + l <- + alloc_vec_Vec_index (hashmap_List_t T) usize + (core_slice_index_SliceIndexUsizeSliceTInst (hashmap_List_t T)) + self.(hashmap_HashMap_slots) hash_mod; + hashmap_HashMap_contains_key_in_list T n key l . -(** [hashmap_main::hashmap::HashMap::{0}::get_in_list]: loop 0: forward function *) -Fixpoint hashmap_hash_map_get_in_list_loop_fwd - (T : Type) (n : nat) (key : usize) (ls : Hashmap_list_t T) : result T := +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::get_in_list]: loop 0: forward function + 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 => match ls with - | HashmapListCons ckey cvalue tl => + | Hashmap_List_Cons ckey cvalue tl => if ckey s= key then Return cvalue - else hashmap_hash_map_get_in_list_loop_fwd T n0 key tl - | HashmapListNil => Fail_ Failure + else hashmap_HashMap_get_in_list_loop T n0 key tl + | Hashmap_List_Nil => Fail_ Failure end end . -(** [hashmap_main::hashmap::HashMap::{0}::get_in_list]: forward function *) -Definition hashmap_hash_map_get_in_list_fwd - (T : Type) (n : nat) (key : usize) (ls : Hashmap_list_t T) : result T := - hashmap_hash_map_get_in_list_loop_fwd T n key ls +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::get_in_list]: forward function + 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::{0}::get]: forward function *) -Definition hashmap_hash_map_get_fwd - (T : Type) (n : nat) (self : Hashmap_hash_map_t T) (key : usize) : - result T - := - hash <- hashmap_hash_key_fwd key; - let i := vec_len (Hashmap_list_t T) self.(Hashmap_hash_map_slots) in +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::get]: forward function + 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 := + 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 <- vec_index_fwd (Hashmap_list_t T) self.(Hashmap_hash_map_slots) hash_mod; - hashmap_hash_map_get_in_list_fwd T n key l + l <- + alloc_vec_Vec_index (hashmap_List_t T) usize + (core_slice_index_SliceIndexUsizeSliceTInst (hashmap_List_t T)) + self.(hashmap_HashMap_slots) hash_mod; + hashmap_HashMap_get_in_list T n key l . -(** [hashmap_main::hashmap::HashMap::{0}::get_mut_in_list]: loop 0: forward function *) -Fixpoint hashmap_hash_map_get_mut_in_list_loop_fwd - (T : Type) (n : nat) (ls : Hashmap_list_t T) (key : usize) : result T := +(** [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 *) +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 - | HashmapListCons ckey cvalue tl => + | Hashmap_List_Cons ckey cvalue tl => if ckey s= key then Return cvalue - else hashmap_hash_map_get_mut_in_list_loop_fwd T n0 tl key - | HashmapListNil => Fail_ Failure + else hashmap_HashMap_get_mut_in_list_loop T n0 tl key + | Hashmap_List_Nil => Fail_ Failure end end . -(** [hashmap_main::hashmap::HashMap::{0}::get_mut_in_list]: forward function *) -Definition hashmap_hash_map_get_mut_in_list_fwd - (T : Type) (n : nat) (ls : Hashmap_list_t T) (key : usize) : result T := - hashmap_hash_map_get_mut_in_list_loop_fwd T n ls key +(** [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::{0}::get_mut_in_list]: loop 0: backward function 0 *) -Fixpoint hashmap_hash_map_get_mut_in_list_loop_back - (T : Type) (n : nat) (ls : Hashmap_list_t T) (key : usize) (ret : T) : - result (Hashmap_list_t T) +(** [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) := match n with | O => Fail_ OutOfFuel | S n0 => match ls with - | HashmapListCons ckey cvalue tl => + | Hashmap_List_Cons ckey cvalue tl => if ckey s= key - then Return (HashmapListCons ckey ret tl) + then Return (Hashmap_List_Cons ckey ret tl) else ( - tl0 <- hashmap_hash_map_get_mut_in_list_loop_back T n0 tl key ret; - Return (HashmapListCons ckey cvalue tl0)) - | HashmapListNil => Fail_ Failure + tl0 <- hashmap_HashMap_get_mut_in_list_loop_back T n0 tl key ret; + Return (Hashmap_List_Cons ckey cvalue tl0)) + | Hashmap_List_Nil => Fail_ Failure end end . -(** [hashmap_main::hashmap::HashMap::{0}::get_mut_in_list]: backward function 0 *) -Definition hashmap_hash_map_get_mut_in_list_back - (T : Type) (n : nat) (ls : Hashmap_list_t T) (key : usize) (ret : T) : - result (Hashmap_list_t T) +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::get_mut_in_list]: backward function 0 + 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) := - hashmap_hash_map_get_mut_in_list_loop_back T n ls key ret + hashmap_HashMap_get_mut_in_list_loop_back T n ls key ret . -(** [hashmap_main::hashmap::HashMap::{0}::get_mut]: forward function *) -Definition hashmap_hash_map_get_mut_fwd - (T : Type) (n : nat) (self : Hashmap_hash_map_t T) (key : usize) : - result T - := - hash <- hashmap_hash_key_fwd key; - let i := vec_len (Hashmap_list_t T) self.(Hashmap_hash_map_slots) in +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::get_mut]: forward function + 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 <- - vec_index_mut_fwd (Hashmap_list_t T) self.(Hashmap_hash_map_slots) hash_mod; - hashmap_hash_map_get_mut_in_list_fwd T n l key + 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::{0}::get_mut]: backward function 0 *) -Definition hashmap_hash_map_get_mut_back - (T : Type) (n : nat) (self : Hashmap_hash_map_t T) (key : usize) (ret : T) : - result (Hashmap_hash_map_t T) +(** [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) := - hash <- hashmap_hash_key_fwd key; - let i := vec_len (Hashmap_list_t T) self.(Hashmap_hash_map_slots) in + 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 <- - vec_index_mut_fwd (Hashmap_list_t T) self.(Hashmap_hash_map_slots) hash_mod; - l0 <- hashmap_hash_map_get_mut_in_list_back T n l key ret; + 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 <- - vec_index_mut_back (Hashmap_list_t T) self.(Hashmap_hash_map_slots) - hash_mod l0; + 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_hash_map_num_entries := self.(Hashmap_hash_map_num_entries); - Hashmap_hash_map_max_load_factor := - self.(Hashmap_hash_map_max_load_factor); - Hashmap_hash_map_max_load := self.(Hashmap_hash_map_max_load); - Hashmap_hash_map_slots := v + 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::{0}::remove_from_list]: loop 0: forward function *) -Fixpoint hashmap_hash_map_remove_from_list_loop_fwd - (T : Type) (n : nat) (key : usize) (ls : Hashmap_list_t T) : +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::remove_from_list]: loop 0: forward function + 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) := match n with | O => Fail_ OutOfFuel | S n0 => match ls with - | HashmapListCons ckey t tl => + | Hashmap_List_Cons ckey t tl => if ckey s= key then let mv_ls := - mem_replace_fwd (Hashmap_list_t T) (HashmapListCons ckey t tl) - HashmapListNil in + core_mem_replace (hashmap_List_t T) (Hashmap_List_Cons ckey t tl) + Hashmap_List_Nil in match mv_ls with - | HashmapListCons i cvalue tl0 => Return (Some cvalue) - | HashmapListNil => Fail_ Failure + | Hashmap_List_Cons i cvalue tl0 => Return (Some cvalue) + | Hashmap_List_Nil => Fail_ Failure end - else hashmap_hash_map_remove_from_list_loop_fwd T n0 key tl - | HashmapListNil => Return None + else hashmap_HashMap_remove_from_list_loop T n0 key tl + | Hashmap_List_Nil => Return None end end . -(** [hashmap_main::hashmap::HashMap::{0}::remove_from_list]: forward function *) -Definition hashmap_hash_map_remove_from_list_fwd - (T : Type) (n : nat) (key : usize) (ls : Hashmap_list_t T) : +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::remove_from_list]: forward function + 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) := - hashmap_hash_map_remove_from_list_loop_fwd T n key ls + hashmap_HashMap_remove_from_list_loop T n key ls . -(** [hashmap_main::hashmap::HashMap::{0}::remove_from_list]: loop 0: backward function 1 *) -Fixpoint hashmap_hash_map_remove_from_list_loop_back - (T : Type) (n : nat) (key : usize) (ls : Hashmap_list_t T) : - result (Hashmap_list_t T) +(** [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 - | HashmapListCons ckey t tl => + | Hashmap_List_Cons ckey t tl => if ckey s= key then let mv_ls := - mem_replace_fwd (Hashmap_list_t T) (HashmapListCons ckey t tl) - HashmapListNil in + core_mem_replace (hashmap_List_t T) (Hashmap_List_Cons ckey t tl) + Hashmap_List_Nil in match mv_ls with - | HashmapListCons i cvalue tl0 => Return tl0 - | HashmapListNil => Fail_ Failure + | Hashmap_List_Cons i cvalue tl0 => Return tl0 + | Hashmap_List_Nil => Fail_ Failure end else ( - tl0 <- hashmap_hash_map_remove_from_list_loop_back T n0 key tl; - Return (HashmapListCons ckey t tl0)) - | HashmapListNil => Return HashmapListNil + 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::{0}::remove_from_list]: backward function 1 *) -Definition hashmap_hash_map_remove_from_list_back - (T : Type) (n : nat) (key : usize) (ls : Hashmap_list_t T) : - result (Hashmap_list_t T) +(** [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_hash_map_remove_from_list_loop_back T n key ls + hashmap_HashMap_remove_from_list_loop_back T n key ls . -(** [hashmap_main::hashmap::HashMap::{0}::remove]: forward function *) -Definition hashmap_hash_map_remove_fwd - (T : Type) (n : nat) (self : Hashmap_hash_map_t T) (key : usize) : +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::remove]: forward function + 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) := - hash <- hashmap_hash_key_fwd key; - let i := vec_len (Hashmap_list_t T) self.(Hashmap_hash_map_slots) in + 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 <- - vec_index_mut_fwd (Hashmap_list_t T) self.(Hashmap_hash_map_slots) hash_mod; - x <- hashmap_hash_map_remove_from_list_fwd T n key 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; match x with | None => Return None | Some x0 => - _ <- usize_sub self.(Hashmap_hash_map_num_entries) 1%usize; - Return (Some x0) + _ <- usize_sub self.(hashmap_HashMap_num_entries) 1%usize; Return (Some x0) end . -(** [hashmap_main::hashmap::HashMap::{0}::remove]: backward function 0 *) -Definition hashmap_hash_map_remove_back - (T : Type) (n : nat) (self : Hashmap_hash_map_t T) (key : usize) : - result (Hashmap_hash_map_t T) +(** [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_fwd key; - let i := vec_len (Hashmap_list_t T) self.(Hashmap_hash_map_slots) in + 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 <- - vec_index_mut_fwd (Hashmap_list_t T) self.(Hashmap_hash_map_slots) hash_mod; - x <- hashmap_hash_map_remove_from_list_fwd T n key 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; match x with | None => - l0 <- hashmap_hash_map_remove_from_list_back T n key l; + l0 <- hashmap_HashMap_remove_from_list_back T n key l; v <- - vec_index_mut_back (Hashmap_list_t T) self.(Hashmap_hash_map_slots) - hash_mod l0; + 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_hash_map_num_entries := self.(Hashmap_hash_map_num_entries); - Hashmap_hash_map_max_load_factor := - self.(Hashmap_hash_map_max_load_factor); - Hashmap_hash_map_max_load := self.(Hashmap_hash_map_max_load); - Hashmap_hash_map_slots := v + 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_hash_map_num_entries) 1%usize; - l0 <- hashmap_hash_map_remove_from_list_back T n key l; + i0 <- usize_sub self.(hashmap_HashMap_num_entries) 1%usize; + l0 <- hashmap_HashMap_remove_from_list_back T n key l; v <- - vec_index_mut_back (Hashmap_list_t T) self.(Hashmap_hash_map_slots) - hash_mod l0; + 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_hash_map_num_entries := i0; - Hashmap_hash_map_max_load_factor := - self.(Hashmap_hash_map_max_load_factor); - Hashmap_hash_map_max_load := self.(Hashmap_hash_map_max_load); - Hashmap_hash_map_slots := v + hashmap_HashMap_num_entries := i0; + 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 *) -Definition hashmap_test1_fwd (n : nat) : result unit := - hm <- hashmap_hash_map_new_fwd u64 n; - hm0 <- hashmap_hash_map_insert_fwd_back u64 n hm 0%usize 42%u64; - hm1 <- hashmap_hash_map_insert_fwd_back u64 n hm0 128%usize 18%u64; - hm2 <- hashmap_hash_map_insert_fwd_back u64 n hm1 1024%usize 138%u64; - hm3 <- hashmap_hash_map_insert_fwd_back u64 n hm2 1056%usize 256%u64; - i <- hashmap_hash_map_get_fwd u64 n hm3 128%usize; +(** [hashmap_main::hashmap::test1]: forward function + 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; if negb (i s= 18%u64) then Fail_ Failure else ( - hm4 <- hashmap_hash_map_get_mut_back u64 n hm3 1024%usize 56%u64; - i0 <- hashmap_hash_map_get_fwd u64 n hm4 1024%usize; + 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) then Fail_ Failure else ( - x <- hashmap_hash_map_remove_fwd u64 n hm4 1024%usize; + x <- hashmap_HashMap_remove u64 n hm4 1024%usize; match x with | None => Fail_ Failure | Some x0 => if negb (x0 s= 56%u64) then Fail_ Failure else ( - hm5 <- hashmap_hash_map_remove_back u64 n hm4 1024%usize; - i1 <- hashmap_hash_map_get_fwd u64 n hm5 0%usize; + 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) then Fail_ Failure else ( - i2 <- hashmap_hash_map_get_fwd u64 n hm5 128%usize; + i2 <- hashmap_HashMap_get u64 n hm5 128%usize; if negb (i2 s= 18%u64) then Fail_ Failure else ( - i3 <- hashmap_hash_map_get_fwd u64 n hm5 1056%usize; + i3 <- hashmap_HashMap_get u64 n hm5 1056%usize; if negb (i3 s= 256%u64) then Fail_ Failure else Return tt))) end)) . -(** [hashmap_main::insert_on_disk]: forward function *) -Definition insert_on_disk_fwd +(** [hashmap_main::insert_on_disk]: forward function + 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_fwd st; + p <- hashmap_utils_deserialize st; let (st0, hm) := p in - hm0 <- hashmap_hash_map_insert_fwd_back u64 n hm key value; - p0 <- hashmap_utils_serialize_fwd hm0 st0; + hm0 <- hashmap_HashMap_insert u64 n hm key value; + p0 <- hashmap_utils_serialize hm0 st0; let (st1, _) := p0 in Return (st1, tt) . -(** [hashmap_main::main]: forward function *) -Definition main_fwd : result unit := +(** [hashmap_main::main]: forward function + Source: 'src/hashmap_main.rs', lines 16:0-16:13 *) +Definition main : result unit := Return tt. -(** Unit test for [hashmap_main::main] *) -Check (main_fwd )%return. - -End HashmapMain_Funs . +End HashmapMain_Funs. diff --git a/tests/coq/hashmap_on_disk/HashmapMain_FunsExternal.v b/tests/coq/hashmap_on_disk/HashmapMain_FunsExternal.v new file mode 100644 index 00000000..a03dc407 --- /dev/null +++ b/tests/coq/hashmap_on_disk/HashmapMain_FunsExternal.v @@ -0,0 +1,25 @@ +(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *) +(** [hashmap_main]: external function declarations *) +Require Import Primitives. +Import Primitives. +Require Import Coq.ZArith.ZArith. +Require Import List. +Import ListNotations. +Local Open Scope Primitives_scope. +Require Export HashmapMain_Types. +Import HashmapMain_Types. +Module HashmapMain_FunsExternal. + +(** [hashmap_main::hashmap_utils::deserialize]: forward function + 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 + Source: 'src/hashmap_utils.rs', lines 5:0-5:42 *) +Axiom hashmap_utils_serialize + : hashmap_HashMap_t u64 -> state -> result (state * unit) +. + +End HashmapMain_FunsExternal. diff --git a/tests/coq/hashmap_on_disk/HashmapMain_FunsExternal_Template.v b/tests/coq/hashmap_on_disk/HashmapMain_FunsExternal_Template.v new file mode 100644 index 00000000..e10d02f6 --- /dev/null +++ b/tests/coq/hashmap_on_disk/HashmapMain_FunsExternal_Template.v @@ -0,0 +1,26 @@ +(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *) +(** [hashmap_main]: external functions. +-- This is a template file: rename it to "FunsExternal.lean" and fill the holes. *) +Require Import Primitives. +Import Primitives. +Require Import Coq.ZArith.ZArith. +Require Import List. +Import ListNotations. +Local Open Scope Primitives_scope. +Require Import HashmapMain_Types. +Include HashmapMain_Types. +Module HashmapMain_FunsExternal_Template. + +(** [hashmap_main::hashmap_utils::deserialize]: forward function + 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 + Source: 'src/hashmap_utils.rs', lines 5:0-5:42 *) +Axiom hashmap_utils_serialize + : hashmap_HashMap_t u64 -> state -> result (state * unit) +. + +End HashmapMain_FunsExternal_Template. diff --git a/tests/coq/hashmap_on_disk/HashmapMain_Opaque.v b/tests/coq/hashmap_on_disk/HashmapMain_Opaque.v deleted file mode 100644 index 2d17cc29..00000000 --- a/tests/coq/hashmap_on_disk/HashmapMain_Opaque.v +++ /dev/null @@ -1,23 +0,0 @@ -(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *) -(** [hashmap_main]: external function declarations *) -Require Import Primitives. -Import Primitives. -Require Import Coq.ZArith.ZArith. -Require Import List. -Import ListNotations. -Local Open Scope Primitives_scope. -Require Export HashmapMain_Types. -Import HashmapMain_Types. -Module HashmapMain_Opaque. - -(** [hashmap_main::hashmap_utils::deserialize]: forward function *) -Axiom hashmap_utils_deserialize_fwd - : state -> result (state * (Hashmap_hash_map_t u64)) -. - -(** [hashmap_main::hashmap_utils::serialize]: forward function *) -Axiom hashmap_utils_serialize_fwd - : Hashmap_hash_map_t u64 -> state -> result (state * unit) -. - -End HashmapMain_Opaque . diff --git a/tests/coq/hashmap_on_disk/HashmapMain_Types.v b/tests/coq/hashmap_on_disk/HashmapMain_Types.v index 36aaaf25..8d3d72aa 100644 --- a/tests/coq/hashmap_on_disk/HashmapMain_Types.v +++ b/tests/coq/hashmap_on_disk/HashmapMain_Types.v @@ -6,34 +6,35 @@ Require Import Coq.ZArith.ZArith. Require Import List. Import ListNotations. Local Open Scope Primitives_scope. +Require Import HashmapMain_TypesExternal. +Include HashmapMain_TypesExternal. Module HashmapMain_Types. -(** [hashmap_main::hashmap::List] *) -Inductive Hashmap_list_t (T : Type) := -| HashmapListCons : usize -> T -> Hashmap_list_t T -> Hashmap_list_t T -| HashmapListNil : Hashmap_list_t T +(** [hashmap_main::hashmap::List] + Source: 'src/hashmap.rs', lines 19:0-19:16 *) +Inductive hashmap_List_t (T : Type) := +| Hashmap_List_Cons : usize -> T -> hashmap_List_t T -> hashmap_List_t T +| Hashmap_List_Nil : hashmap_List_t T . -Arguments HashmapListCons {T} _ _ _. -Arguments HashmapListNil {T}. +Arguments Hashmap_List_Cons { _ }. +Arguments Hashmap_List_Nil { _ }. -(** [hashmap_main::hashmap::HashMap] *) -Record Hashmap_hash_map_t (T : Type) := -mkHashmap_hash_map_t { - Hashmap_hash_map_num_entries : usize; - Hashmap_hash_map_max_load_factor : (usize * usize); - Hashmap_hash_map_max_load : usize; - Hashmap_hash_map_slots : vec (Hashmap_list_t T); +(** [hashmap_main::hashmap::HashMap] + Source: 'src/hashmap.rs', lines 35:0-35:21 *) +Record hashmap_HashMap_t (T : Type) := +mkhashmap_HashMap_t { + hashmap_HashMap_num_entries : usize; + hashmap_HashMap_max_load_factor : (usize * usize); + hashmap_HashMap_max_load : usize; + hashmap_HashMap_slots : alloc_vec_Vec (hashmap_List_t T); } . -Arguments mkHashmap_hash_map_t {T} _ _ _ _. -Arguments Hashmap_hash_map_num_entries {T}. -Arguments Hashmap_hash_map_max_load_factor {T}. -Arguments Hashmap_hash_map_max_load {T}. -Arguments Hashmap_hash_map_slots {T}. +Arguments mkhashmap_HashMap_t { _ }. +Arguments hashmap_HashMap_num_entries { _ }. +Arguments hashmap_HashMap_max_load_factor { _ }. +Arguments hashmap_HashMap_max_load { _ }. +Arguments hashmap_HashMap_slots { _ }. -(** The state type used in the state-error monad *) -Axiom state : Type. - -End HashmapMain_Types . +End HashmapMain_Types. diff --git a/tests/coq/hashmap_on_disk/HashmapMain_TypesExternal.v b/tests/coq/hashmap_on_disk/HashmapMain_TypesExternal.v new file mode 100644 index 00000000..87568232 --- /dev/null +++ b/tests/coq/hashmap_on_disk/HashmapMain_TypesExternal.v @@ -0,0 +1,15 @@ +(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *) +(** [hashmap_main]: external types. +-- This is a template file: rename it to "TypesExternal.lean" and fill the holes. *) +Require Import Primitives. +Import Primitives. +Require Import Coq.ZArith.ZArith. +Require Import List. +Import ListNotations. +Local Open Scope Primitives_scope. +Module HashmapMain_TypesExternal. + +(** The state type used in the state-error monad *) +Axiom state : Type. + +End HashmapMain_TypesExternal. diff --git a/tests/coq/hashmap_on_disk/HashmapMain_TypesExternal_Template.v b/tests/coq/hashmap_on_disk/HashmapMain_TypesExternal_Template.v new file mode 100644 index 00000000..391b2775 --- /dev/null +++ b/tests/coq/hashmap_on_disk/HashmapMain_TypesExternal_Template.v @@ -0,0 +1,15 @@ +(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *) +(** [hashmap_main]: external types. +-- This is a template file: rename it to "TypesExternal.lean" and fill the holes. *) +Require Import Primitives. +Import Primitives. +Require Import Coq.ZArith.ZArith. +Require Import List. +Import ListNotations. +Local Open Scope Primitives_scope. +Module HashmapMain_TypesExternal_Template. + +(** The state type used in the state-error monad *) +Axiom state : Type. + +End HashmapMain_TypesExternal_Template. diff --git a/tests/coq/hashmap_on_disk/Primitives.v b/tests/coq/hashmap_on_disk/Primitives.v index 71a2d9c3..99ffe070 100644 --- a/tests/coq/hashmap_on_disk/Primitives.v +++ b/tests/coq/hashmap_on_disk/Primitives.v @@ -63,13 +63,15 @@ Check (if true then Return (1 + 2) else Fail_ Failure)%global = 3. (*** Misc *) - Definition string := Coq.Strings.String.string. Definition char := Coq.Strings.Ascii.ascii. Definition char_of_byte := Coq.Strings.Ascii.ascii_of_byte. -Definition mem_replace_fwd (a : Type) (x : a) (y : a) : a := x . -Definition mem_replace_back (a : Type) (x : a) (y : a) : a := y . +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 . + +Record mut_raw_ptr (T : Type) := { mut_raw_ptr_v : T }. +Record const_raw_ptr (T : Type) := { const_raw_ptr_v : T }. (*** Scalars *) @@ -253,6 +255,12 @@ Definition scalar_rem {ty} (x y: scalar ty) : result (scalar ty) := mk_scalar ty Definition scalar_neg {ty} (x: scalar ty) : result (scalar ty) := mk_scalar ty (-(to_Z x)). +Axiom scalar_xor : forall ty, scalar ty -> scalar ty -> scalar ty. (* TODO *) +Axiom scalar_or : forall ty, scalar ty -> scalar ty -> scalar ty. (* TODO *) +Axiom scalar_and : forall ty, scalar ty -> scalar ty -> scalar ty. (* TODO *) +Axiom scalar_shl : forall ty0 ty1, scalar ty0 -> scalar ty1 -> result (scalar ty0). (* TODO *) +Axiom scalar_shr : forall ty0 ty1, scalar ty0 -> scalar ty1 -> result (scalar ty0). (* TODO *) + (** Cast an integer from a [src_ty] to a [tgt_ty] *) (* TODO: check the semantics of casts in Rust *) Definition scalar_cast (src_ty tgt_ty : scalar_ty) (x : scalar src_ty) : result (scalar tgt_ty) := @@ -370,6 +378,76 @@ Definition u32_mul := @scalar_mul U32. Definition u64_mul := @scalar_mul U64. Definition u128_mul := @scalar_mul U128. +(** Xor *) +Definition u8_xor := @scalar_xor U8. +Definition u16_xor := @scalar_xor U16. +Definition u32_xor := @scalar_xor U32. +Definition u64_xor := @scalar_xor U64. +Definition u128_xor := @scalar_xor U128. +Definition usize_xor := @scalar_xor Usize. +Definition i8_xor := @scalar_xor I8. +Definition i16_xor := @scalar_xor I16. +Definition i32_xor := @scalar_xor I32. +Definition i64_xor := @scalar_xor I64. +Definition i128_xor := @scalar_xor I128. +Definition isize_xor := @scalar_xor Isize. + +(** Or *) +Definition u8_or := @scalar_or U8. +Definition u16_or := @scalar_or U16. +Definition u32_or := @scalar_or U32. +Definition u64_or := @scalar_or U64. +Definition u128_or := @scalar_or U128. +Definition usize_or := @scalar_or Usize. +Definition i8_or := @scalar_or I8. +Definition i16_or := @scalar_or I16. +Definition i32_or := @scalar_or I32. +Definition i64_or := @scalar_or I64. +Definition i128_or := @scalar_or I128. +Definition isize_or := @scalar_or Isize. + +(** And *) +Definition u8_and := @scalar_and U8. +Definition u16_and := @scalar_and U16. +Definition u32_and := @scalar_and U32. +Definition u64_and := @scalar_and U64. +Definition u128_and := @scalar_and U128. +Definition usize_and := @scalar_and Usize. +Definition i8_and := @scalar_and I8. +Definition i16_and := @scalar_and I16. +Definition i32_and := @scalar_and I32. +Definition i64_and := @scalar_and I64. +Definition i128_and := @scalar_and I128. +Definition isize_and := @scalar_and Isize. + +(** Shift left *) +Definition u8_shl {ty} := @scalar_shl U8 ty. +Definition u16_shl {ty} := @scalar_shl U16 ty. +Definition u32_shl {ty} := @scalar_shl U32 ty. +Definition u64_shl {ty} := @scalar_shl U64 ty. +Definition u128_shl {ty} := @scalar_shl U128 ty. +Definition usize_shl {ty} := @scalar_shl Usize ty. +Definition i8_shl {ty} := @scalar_shl I8 ty. +Definition i16_shl {ty} := @scalar_shl I16 ty. +Definition i32_shl {ty} := @scalar_shl I32 ty. +Definition i64_shl {ty} := @scalar_shl I64 ty. +Definition i128_shl {ty} := @scalar_shl I128 ty. +Definition isize_shl {ty} := @scalar_shl Isize ty. + +(** Shift right *) +Definition u8_shr {ty} := @scalar_shr U8 ty. +Definition u16_shr {ty} := @scalar_shr U16 ty. +Definition u32_shr {ty} := @scalar_shr U32 ty. +Definition u64_shr {ty} := @scalar_shr U64 ty. +Definition u128_shr {ty} := @scalar_shr U128 ty. +Definition usize_shr {ty} := @scalar_shr Usize ty. +Definition i8_shr {ty} := @scalar_shr I8 ty. +Definition i16_shr {ty} := @scalar_shr I16 ty. +Definition i32_shr {ty} := @scalar_shr I32 ty. +Definition i64_shr {ty} := @scalar_shr I64 ty. +Definition i128_shr {ty} := @scalar_shr I128 ty. +Definition isize_shr {ty} := @scalar_shr Isize ty. + (** Small utility *) Definition usize_to_nat (x: usize) : nat := Z.to_nat (to_Z x). @@ -394,12 +472,89 @@ Notation "x s< y" := (scalar_ltb x y) (at level 80) : Primitives_scope. Notation "x s>= y" := (scalar_geb x y) (at level 80) : Primitives_scope. Notation "x s> y" := (scalar_gtb x y) (at level 80) : Primitives_scope. -(*** Range *) -Record range (T : Type) := mk_range { - start: T; - end_: T; +(** Constants *) +Definition core_u8_max := u8_max %u32. +Definition core_u16_max := u16_max %u32. +Definition core_u32_max := u32_max %u32. +Definition core_u64_max := u64_max %u64. +Definition core_u128_max := u64_max %u128. +Axiom core_usize_max : usize. (** TODO *) +Definition core_i8_max := i8_max %i32. +Definition core_i16_max := i16_max %i32. +Definition core_i32_max := i32_max %i32. +Definition core_i64_max := i64_max %i64. +Definition core_i128_max := i64_max %i128. +Axiom core_isize_max : isize. (** TODO *) + +(*** core::ops *) + +(* Trait declaration: [core::ops::index::Index] *) +Record core_ops_index_Index (Self Idx : Type) := mk_core_ops_index_Index { + core_ops_index_Index_Output : Type; + core_ops_index_Index_index : Self -> Idx -> result core_ops_index_Index_Output; +}. +Arguments mk_core_ops_index_Index {_ _}. +Arguments core_ops_index_Index_Output {_ _}. +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; +}. +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 { + core_ops_deref_Deref_target : Type; + core_ops_deref_Deref_deref : Self -> result core_ops_deref_Deref_target; }. -Arguments mk_range {_}. +Arguments mk_core_ops_deref_Deref {_}. +Arguments core_ops_deref_Deref_target {_}. +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; +}. +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; + core_ops_range_Range_end_ : T; +}. +Arguments mk_core_ops_range_Range {_}. +Arguments core_ops_range_Range_start {_}. +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. + +(* Trait instance *) +Definition alloc_boxed_Box_coreopsDerefInst (Self : Type) : core_ops_deref_Deref Self := {| + core_ops_deref_Deref_target := Self; + core_ops_deref_Deref_deref := alloc_boxed_Box_deref Self; +|}. + +(* Trait instance *) +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; +|}. + (*** Arrays *) Definition array T (n : usize) := { l: list T | Z.of_nat (length l) = to_Z n}. @@ -419,51 +574,50 @@ Qed. (* TODO: finish the definitions *) Axiom mk_array : forall (T : Type) (n : usize) (l : list T), array T n. -Axiom array_index_shared : forall (T : Type) (n : usize) (x : array T n) (i : usize), result T. -Axiom array_index_mut_fwd : forall (T : Type) (n : usize) (x : array T n) (i : usize), result T. -Axiom array_index_mut_back : forall (T : Type) (n : usize) (x : array T n) (i : usize) (nx : T), result (array T n). +(* For initialization *) +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). (*** Slice *) Definition slice T := { l: list T | Z.of_nat (length l) <= usize_max}. Axiom slice_len : forall (T : Type) (s : slice T), usize. -Axiom slice_index_shared : forall (T : Type) (x : slice T) (i : usize), result T. -Axiom slice_index_mut_fwd : forall (T : Type) (x : slice T) (i : usize), result T. -Axiom slice_index_mut_back : forall (T : Type) (x : slice T) (i : usize) (nx : T), result (slice T). +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). (*** Subslices *) -Axiom array_to_slice_shared : forall (T : Type) (n : usize) (x : array T n), result (slice T). -Axiom array_to_slice_mut_fwd : forall (T : Type) (n : usize) (x : array T n), result (slice T). -Axiom array_to_slice_mut_back : forall (T : Type) (n : usize) (x : array T n) (s : slice T), result (array T n). +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). -Axiom array_subslice_shared: forall (T : Type) (n : usize) (x : array T n) (r : range usize), result (slice T). -Axiom array_subslice_mut_fwd: forall (T : Type) (n : usize) (x : array T n) (r : range usize), result (slice T). -Axiom array_subslice_mut_back: forall (T : Type) (n : usize) (x : array T n) (r : range usize) (ns : slice T), result (array T n). -Axiom slice_subslice_shared: forall (T : Type) (x : slice T) (r : range usize), result (slice T). -Axiom slice_subslice_mut_fwd: forall (T : Type) (x : slice T) (r : range usize), result (slice T). -Axiom slice_subslice_mut_back: forall (T : Type) (x : slice T) (r : range usize) (ns : slice T), result (slice T). +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). + +Axiom slice_subslice: forall (T : Type) (x : slice T) (r : core_ops_range_Range usize), result (slice T). +Axiom slice_update_subslice: forall (T : Type) (x : slice T) (r : core_ops_range_Range usize) (ns : slice T), result (slice T). (*** Vectors *) -Definition vec T := { l: list T | Z.of_nat (length l) <= usize_max }. +Definition alloc_vec_Vec T := { l: list T | Z.of_nat (length l) <= usize_max }. -Definition vec_to_list {T: Type} (v: vec T) : list T := proj1_sig v. +Definition alloc_vec_Vec_to_list {T: Type} (v: alloc_vec_Vec T) : list T := proj1_sig v. -Definition vec_length {T: Type} (v: vec T) : Z := Z.of_nat (length (vec_to_list v)). +Definition alloc_vec_Vec_length {T: Type} (v: alloc_vec_Vec T) : Z := Z.of_nat (length (alloc_vec_Vec_to_list v)). -Definition vec_new (T: Type) : vec T := (exist _ [] le_0_usize_max). +Definition alloc_vec_Vec_new (T: Type) : alloc_vec_Vec T := (exist _ [] le_0_usize_max). -Lemma vec_len_in_usize {T} (v: vec T) : usize_min <= vec_length v <= usize_max. +Lemma alloc_vec_Vec_len_in_usize {T} (v: alloc_vec_Vec T) : usize_min <= alloc_vec_Vec_length v <= usize_max. Proof. - unfold vec_length, usize_min. + unfold alloc_vec_Vec_length, usize_min. split. - lia. - apply (proj2_sig v). Qed. -Definition vec_len (T: Type) (v: vec T) : usize := - exist _ (vec_length v) (vec_len_in_usize v). +Definition alloc_vec_Vec_len (T: Type) (v: alloc_vec_Vec T) : usize := + exist _ (alloc_vec_Vec_length v) (alloc_vec_Vec_len_in_usize v). Fixpoint list_update {A} (l: list A) (n: nat) (a: A) : list A := @@ -474,50 +628,279 @@ Fixpoint list_update {A} (l: list A) (n: nat) (a: A) | S m => x :: (list_update t m a) end end. -Definition vec_bind {A B} (v: vec A) (f: list A -> result (list B)) : result (vec B) := - l <- f (vec_to_list v) ; +Definition alloc_vec_Vec_bind {A B} (v: alloc_vec_Vec A) (f: list A -> result (list B)) : result (alloc_vec_Vec B) := + l <- f (alloc_vec_Vec_to_list v) ; match sumbool_of_bool (scalar_le_max Usize (Z.of_nat (length l))) with | left H => Return (exist _ l (scalar_le_max_valid _ _ H)) | right _ => Fail_ Failure end. (* The **forward** function shouldn't be used *) -Definition vec_push_fwd (T: Type) (v: vec T) (x: T) : unit := tt. +Definition alloc_vec_Vec_push_fwd (T: Type) (v: alloc_vec_Vec T) (x: T) : unit := tt. -Definition vec_push_back (T: Type) (v: vec T) (x: T) : result (vec T) := - vec_bind v (fun l => Return (l ++ [x])). +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 vec_insert_fwd (T: Type) (v: vec T) (i: usize) (x: T) : result unit := - if to_Z i <? vec_length v then Return tt else Fail_ Failure. +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 vec_insert_back (T: Type) (v: vec T) (i: usize) (x: T) : result (vec T) := - vec_bind v (fun l => +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) then Return (list_update l (usize_to_nat i) x) else Fail_ Failure). -(* The **backward** function shouldn't be used *) -Definition vec_index_fwd (T: Type) (v: vec T) (i: usize) : result T := - match nth_error (vec_to_list v) (usize_to_nat i) with - | Some n => Return n - | None => Fail_ Failure - end. - -Definition vec_index_back (T: Type) (v: vec T) (i: usize) (x: T) : result unit := - if to_Z i <? vec_length v then Return tt else Fail_ Failure. - -(* The **backward** function shouldn't be used *) -Definition vec_index_mut_fwd (T: Type) (v: vec T) (i: usize) : result T := - match nth_error (vec_to_list v) (usize_to_nat i) with - | Some n => Return n - | None => Fail_ Failure +(* Helper *) +Axiom alloc_vec_Vec_index_usize : forall {T : Type} (v : alloc_vec_Vec T) (i : usize), result T. + +(* Helper *) +Axiom alloc_vec_Vec_update_usize : forall {T : Type} (v : alloc_vec_Vec T) (i : usize) (x : T), result (alloc_vec_Vec T). + +(* Trait declaration: [core::slice::index::private_slice_index::Sealed] *) +Definition core_slice_index_private_slice_index_Sealed (self : Type) := unit. + +(* Trait declaration: [core::slice::index::SliceIndex] *) +Record core_slice_index_SliceIndex (Self T : Type) := mk_core_slice_index_SliceIndex { + 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_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; +}. +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 + (T Idx : Type) (inst : core_slice_index_SliceIndex Idx (slice T)) + (s : slice T) (i : Idx) : result inst.(core_slice_index_SliceIndex_Output) := + x <- inst.(core_slice_index_SliceIndex_get) i s; + match x with + | None => Fail_ Failure + | Some x => Return x end. -Definition vec_index_mut_back (T: Type) (v: vec T) (i: usize) (x: T) : result (vec T) := - vec_bind v (fun l => - if to_Z i <? Z.of_nat (length l) - then Return (list_update l (usize_to_nat i) x) - else Fail_ Failure). +(* [core::slice::index::Range:::get]: forward function *) +Axiom core_slice_index_RangeUsize_get : forall (T : Type) (i : core_ops_range_Range usize) (s : slice T), result (option (slice T)). + +(* [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). + +(* [core::slice::index::Range::get_unchecked]: forward function *) +Definition core_slice_index_RangeUsize_get_unchecked + (T : Type) : + 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 *) +Definition core_slice_index_RangeUsize_get_unchecked_mut + (T : Type) : + 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 *) +Axiom core_slice_index_RangeUsize_index : + forall (T : Type), core_ops_range_Range usize -> slice T -> result (slice T). + +(* [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). + +(* [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). + +(* [core::array::[T; N]::index]: forward function *) +Axiom core_array_Array_index : + forall (T Idx : Type) (N : usize) (inst : core_ops_index_Index (slice T) Idx) + (a : array T N) (i : Idx), result inst.(core_ops_index_Index_Output). + +(* [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). + +(* Trait implementation: [core::slice::index::private_slice_index::Range] *) +Definition core_slice_index_private_slice_index_SealedRangeUsizeInst + : core_slice_index_private_slice_index_Sealed (core_ops_range_Range usize) := tt. + +(* Trait implementation: [core::slice::index::Range] *) +Definition core_slice_index_SliceIndexRangeUsizeSliceTInst (T : Type) : + core_slice_index_SliceIndex (core_ops_range_Range usize) (slice T) := {| + core_slice_index_SliceIndex_sealedInst := core_slice_index_private_slice_index_SealedRangeUsizeInst; + 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]] *) +Definition core_ops_index_IndexSliceTIInst (T Idx : Type) + (inst : core_slice_index_SliceIndex Idx (slice T)) : + core_ops_index_Index (slice T) Idx := {| + core_ops_index_Index_Output := inst.(core_slice_index_SliceIndex_Output); + core_ops_index_Index_index := core_slice_index_Slice_index T Idx inst; +|}. + +(* Trait implementation: [core::slice::index::[T]] *) +Definition core_ops_index_IndexMutSliceTIInst (T Idx : Type) + (inst : core_slice_index_SliceIndex Idx (slice T)) : + 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]] *) +Definition core_ops_index_IndexArrayInst (T Idx : Type) (N : usize) + (inst : core_ops_index_Index (slice T) Idx) : + core_ops_index_Index (array T N) Idx := {| + core_ops_index_Index_Output := inst.(core_ops_index_Index_Output); + core_ops_index_Index_index := core_array_Array_index T Idx N inst; +|}. + +(* Trait implementation: [core::array::[T; N]] *) +Definition core_ops_index_IndexMutArrayInst (T Idx : Type) (N : usize) + (inst : core_ops_index_IndexMut (slice T) Idx) : + 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). + +(* [core::slice::index::usize::get_unchecked]: forward function *) +Axiom core_slice_index_usize_get_unchecked : + forall (T : Type), usize -> const_raw_ptr (slice T) -> result (const_raw_ptr T). + +(* [core::slice::index::usize::get_unchecked_mut]: forward function *) +Axiom core_slice_index_usize_get_unchecked_mut : + forall (T : Type), usize -> mut_raw_ptr (slice T) -> result (mut_raw_ptr T). + +(* [core::slice::index::usize::index]: forward function *) +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). + +(* Trait implementation: [core::slice::index::private_slice_index::usize] *) +Definition core_slice_index_private_slice_index_SealedUsizeInst + : core_slice_index_private_slice_index_Sealed usize := tt. + +(* Trait implementation: [core::slice::index::usize] *) +Definition core_slice_index_SliceIndexUsizeSliceTInst (T : Type) : + core_slice_index_SliceIndex usize (slice T) := {| + core_slice_index_SliceIndex_sealedInst := core_slice_index_private_slice_index_SealedUsizeInst; + 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 *) +Axiom alloc_vec_Vec_index : 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]: 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). + +(* Trait implementation: [alloc::vec::Vec] *) +Definition alloc_vec_Vec_coreopsindexIndexInst (T Idx : Type) + (inst : core_slice_index_SliceIndex Idx (slice T)) : + core_ops_index_Index (alloc_vec_Vec T) Idx := {| + core_ops_index_Index_Output := inst.(core_slice_index_SliceIndex_Output); + core_ops_index_Index_index := alloc_vec_Vec_index T Idx inst; +|}. + +(* Trait implementation: [alloc::vec::Vec] *) +Definition alloc_vec_Vec_coreopsindexIndexMutInst (T Idx : Type) + (inst : core_slice_index_SliceIndex Idx (slice T)) : + 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 *) + +Axiom alloc_vec_Vec_index_eq : forall {a : Type} (v : alloc_vec_Vec a) (i : usize) (x : a), + alloc_vec_Vec_index a usize (core_slice_index_SliceIndexUsizeSliceTInst a) v i = + alloc_vec_Vec_index_usize v i. + +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. End Primitives. diff --git a/tests/coq/hashmap_on_disk/_CoqProject b/tests/coq/hashmap_on_disk/_CoqProject index b78c7b5f..41945494 100644 --- a/tests/coq/hashmap_on_disk/_CoqProject +++ b/tests/coq/hashmap_on_disk/_CoqProject @@ -6,4 +6,7 @@ HashmapMain_Types.v Primitives.v HashmapMain_Funs.v -HashmapMain_Opaque.v +HashmapMain_TypesExternal.v +HashmapMain_FunsExternal_Template.v +HashmapMain_FunsExternal.v +HashmapMain_TypesExternal_Template.v diff --git a/tests/coq/misc/Bitwise.v b/tests/coq/misc/Bitwise.v new file mode 100644 index 00000000..94771b37 --- /dev/null +++ b/tests/coq/misc/Bitwise.v @@ -0,0 +1,38 @@ +(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *) +(** [bitwise] *) +Require Import Primitives. +Import Primitives. +Require Import Coq.ZArith.ZArith. +Require Import List. +Import ListNotations. +Local Open Scope Primitives_scope. +Module Bitwise. + +(** [bitwise::shift_u32]: forward function + 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 + 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 + 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 + 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 + Source: 'src/bitwise.rs', lines 25:0-25:37 *) +Definition and_u32 (a : u32) (b : u32) : result u32 := + Return (u32_and a b). + +End Bitwise. diff --git a/tests/coq/misc/Constants.v b/tests/coq/misc/Constants.v index f1c32730..ad899f25 100644 --- a/tests/coq/misc/Constants.v +++ b/tests/coq/misc/Constants.v @@ -8,131 +8,153 @@ Import ListNotations. Local Open Scope Primitives_scope. Module Constants. -(** [constants::X0] *) +(** [constants::X0] + Source: 'src/constants.rs', lines 5:0-5:17 *) Definition x0_body : result u32 := Return 0%u32. Definition x0_c : u32 := x0_body%global. -(** [core::num::u32::{8}::MAX] *) -Definition core_num_u32_max_body : result u32 := Return 4294967295%u32. -Definition core_num_u32_max_c : u32 := core_num_u32_max_body%global. - -(** [constants::X1] *) -Definition x1_body : result u32 := Return core_num_u32_max_c. +(** [constants::X1] + Source: 'src/constants.rs', lines 7:0-7:17 *) +Definition x1_body : result u32 := Return core_u32_max. Definition x1_c : u32 := x1_body%global. -(** [constants::X2] *) +(** [constants::X2] + Source: 'src/constants.rs', lines 10:0-10:17 *) Definition x2_body : result u32 := Return 3%u32. Definition x2_c : u32 := x2_body%global. -(** [constants::incr]: forward function *) -Definition incr_fwd (n : u32) : result u32 := +(** [constants::incr]: forward function + Source: 'src/constants.rs', lines 17:0-17:32 *) +Definition incr (n : u32) : result u32 := u32_add n 1%u32. -(** [constants::X3] *) -Definition x3_body : result u32 := incr_fwd 32%u32. +(** [constants::X3] + Source: 'src/constants.rs', lines 15:0-15:17 *) +Definition x3_body : result u32 := incr 32%u32. Definition x3_c : u32 := x3_body%global. -(** [constants::mk_pair0]: forward function *) -Definition mk_pair0_fwd (x : u32) (y : u32) : result (u32 * u32) := - Return (x, y) -. +(** [constants::mk_pair0]: forward function + Source: 'src/constants.rs', lines 23:0-23:51 *) +Definition mk_pair0 (x : u32) (y : u32) : result (u32 * u32) := + Return (x, y). -(** [constants::Pair] *) -Record Pair_t (T1 T2 : Type) := mkPair_t { Pair_x : T1; Pair_y : T2; }. +(** [constants::Pair] + Source: 'src/constants.rs', lines 36:0-36:23 *) +Record Pair_t (T1 T2 : Type) := mkPair_t { pair_x : T1; pair_y : T2; }. -Arguments mkPair_t {T1} {T2} _ _. -Arguments Pair_x {T1} {T2}. -Arguments Pair_y {T1} {T2}. +Arguments mkPair_t { _ _ }. +Arguments pair_x { _ _ }. +Arguments pair_y { _ _ }. -(** [constants::mk_pair1]: forward function *) -Definition mk_pair1_fwd (x : u32) (y : u32) : result (Pair_t u32 u32) := - Return {| Pair_x := x; Pair_y := y |} +(** [constants::mk_pair1]: forward function + 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 |} . -(** [constants::P0] *) -Definition p0_body : result (u32 * u32) := mk_pair0_fwd 0%u32 1%u32. +(** [constants::P0] + Source: 'src/constants.rs', lines 31:0-31:24 *) +Definition p0_body : result (u32 * u32) := mk_pair0 0%u32 1%u32. Definition p0_c : (u32 * u32) := p0_body%global. -(** [constants::P1] *) -Definition p1_body : result (Pair_t u32 u32) := mk_pair1_fwd 0%u32 1%u32. +(** [constants::P1] + Source: 'src/constants.rs', lines 32:0-32:28 *) +Definition p1_body : result (Pair_t u32 u32) := mk_pair1 0%u32 1%u32. Definition p1_c : Pair_t u32 u32 := p1_body%global. -(** [constants::P2] *) +(** [constants::P2] + Source: 'src/constants.rs', lines 33:0-33:24 *) Definition p2_body : result (u32 * u32) := Return (0%u32, 1%u32). Definition p2_c : (u32 * u32) := p2_body%global. -(** [constants::P3] *) +(** [constants::P3] + Source: 'src/constants.rs', lines 34:0-34:28 *) Definition p3_body : result (Pair_t u32 u32) := - Return {| Pair_x := 0%u32; Pair_y := 1%u32 |} + Return {| pair_x := 0%u32; pair_y := 1%u32 |} . Definition p3_c : Pair_t u32 u32 := p3_body%global. -(** [constants::Wrap] *) -Record Wrap_t (T : Type) := mkWrap_t { Wrap_val : T; }. +(** [constants::Wrap] + Source: 'src/constants.rs', lines 49:0-49:18 *) +Record Wrap_t (T : Type) := mkWrap_t { wrap_value : T; }. -Arguments mkWrap_t {T} _. -Arguments Wrap_val {T}. +Arguments mkWrap_t { _ }. +Arguments wrap_value { _ }. -(** [constants::Wrap::{0}::new]: forward function *) -Definition wrap_new_fwd (T : Type) (val : T) : result (Wrap_t T) := - Return {| Wrap_val := val |} +(** [constants::{constants::Wrap<T>}::new]: forward function + Source: 'src/constants.rs', lines 54:4-54:41 *) +Definition wrap_new (T : Type) (value : T) : result (Wrap_t T) := + Return {| wrap_value := value |} . -(** [constants::Y] *) -Definition y_body : result (Wrap_t i32) := wrap_new_fwd i32 2%i32. +(** [constants::Y] + Source: 'src/constants.rs', lines 41:0-41:22 *) +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 *) -Definition unwrap_y_fwd : result i32 := - Return y_c.(Wrap_val). +(** [constants::unwrap_y]: forward function + Source: 'src/constants.rs', lines 43:0-43:30 *) +Definition unwrap_y : result i32 := + Return y_c.(wrap_value). -(** [constants::YVAL] *) -Definition yval_body : result i32 := unwrap_y_fwd. +(** [constants::YVAL] + Source: 'src/constants.rs', lines 47:0-47:19 *) +Definition yval_body : result i32 := unwrap_y. Definition yval_c : i32 := yval_body%global. -(** [constants::get_z1::Z1] *) +(** [constants::get_z1::Z1] + Source: 'src/constants.rs', lines 62:4-62:17 *) 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 *) -Definition get_z1_fwd : result i32 := +(** [constants::get_z1]: forward function + Source: 'src/constants.rs', lines 61:0-61:28 *) +Definition get_z1 : result i32 := Return get_z1_z1_c. -(** [constants::add]: forward function *) -Definition add_fwd (a : i32) (b : i32) : result i32 := +(** [constants::add]: forward function + Source: 'src/constants.rs', lines 66:0-66:39 *) +Definition add (a : i32) (b : i32) : result i32 := i32_add a b. -(** [constants::Q1] *) +(** [constants::Q1] + Source: 'src/constants.rs', lines 74:0-74:17 *) Definition q1_body : result i32 := Return 5%i32. Definition q1_c : i32 := q1_body%global. -(** [constants::Q2] *) +(** [constants::Q2] + Source: 'src/constants.rs', lines 75:0-75:17 *) Definition q2_body : result i32 := Return q1_c. Definition q2_c : i32 := q2_body%global. -(** [constants::Q3] *) -Definition q3_body : result i32 := add_fwd q2_c 3%i32. +(** [constants::Q3] + Source: 'src/constants.rs', lines 76:0-76:17 *) +Definition q3_body : result i32 := add q2_c 3%i32. Definition q3_c : i32 := q3_body%global. -(** [constants::get_z2]: forward function *) -Definition get_z2_fwd : result i32 := - i <- get_z1_fwd; i0 <- add_fwd i q3_c; add_fwd q1_c i0 -. +(** [constants::get_z2]: forward function + 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. -(** [constants::S1] *) +(** [constants::S1] + Source: 'src/constants.rs', lines 80:0-80:18 *) Definition s1_body : result u32 := Return 6%u32. Definition s1_c : u32 := s1_body%global. -(** [constants::S2] *) -Definition s2_body : result u32 := incr_fwd s1_c. +(** [constants::S2] + Source: 'src/constants.rs', lines 81:0-81:18 *) +Definition s2_body : result u32 := incr s1_c. Definition s2_c : u32 := s2_body%global. -(** [constants::S3] *) +(** [constants::S3] + Source: 'src/constants.rs', lines 82:0-82:29 *) Definition s3_body : result (Pair_t u32 u32) := Return p3_c. Definition s3_c : Pair_t u32 u32 := s3_body%global. -(** [constants::S4] *) -Definition s4_body : result (Pair_t u32 u32) := mk_pair1_fwd 7%u32 8%u32. +(** [constants::S4] + Source: 'src/constants.rs', lines 83:0-83:29 *) +Definition s4_body : result (Pair_t u32 u32) := mk_pair1 7%u32 8%u32. Definition s4_c : Pair_t u32 u32 := s4_body%global. -End Constants . +End Constants. diff --git a/tests/coq/misc/External_Funs.v b/tests/coq/misc/External_Funs.v index 28370b2b..e9d39f66 100644 --- a/tests/coq/misc/External_Funs.v +++ b/tests/coq/misc/External_Funs.v @@ -6,16 +6,17 @@ Require Import Coq.ZArith.ZArith. Require Import List. Import ListNotations. Local Open Scope Primitives_scope. -Require Export External_Types. -Import External_Types. -Require Export External_Opaque. -Import External_Opaque. +Require Import External_Types. +Include External_Types. +Require Import External_FunsExternal. +Include External_FunsExternal. Module External_Funs. -(** [external::swap]: forward function *) -Definition swap_fwd +(** [external::swap]: forward function + 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_fwd T x y st; + 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 @@ -24,12 +25,13 @@ Definition swap_fwd Return (st2, tt) . -(** [external::swap]: backward function 0 *) +(** [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_fwd T x y st; + 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 @@ -38,26 +40,31 @@ Definition swap_back Return (st0, (x0, y0)) . -(** [external::test_new_non_zero_u32]: forward function *) -Definition test_new_non_zero_u32_fwd - (x : u32) (st : state) : result (state * Core_num_nonzero_non_zero_u32_t) := - p <- core_num_nonzero_non_zero_u32_new_fwd x st; - let (st0, opt) := p in - core_option_option_unwrap_fwd Core_num_nonzero_non_zero_u32_t opt st0 +(** [external::test_new_non_zero_u32]: forward function + 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 . -(** [external::test_vec]: forward function *) -Definition test_vec_fwd : result unit := - let v := vec_new u32 in _ <- vec_push_back u32 v 0%u32; Return tt +(** [external::test_vec]: forward function + 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 . (** Unit test for [external::test_vec] *) -Check (test_vec_fwd )%return. +Check (test_vec )%return. -(** [external::custom_swap]: forward function *) -Definition custom_swap_fwd +(** [external::custom_swap]: forward function + 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_fwd T x y st; + 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 @@ -66,12 +73,13 @@ Definition custom_swap_fwd Return (st2, x0) . -(** [external::custom_swap]: backward function 0 *) +(** [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)) := - p <- core_mem_swap_fwd T x y st; + 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 @@ -80,13 +88,15 @@ Definition custom_swap_back Return (st0, (ret, y0)) . -(** [external::test_custom_swap]: forward function *) -Definition test_custom_swap_fwd +(** [external::test_custom_swap]: forward function + 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_fwd u32 x y st; let (st0, _) := p in Return (st0, tt) + p <- custom_swap u32 x y st; let (st0, _) := p in Return (st0, tt) . -(** [external::test_custom_swap]: backward function 0 *) +(** [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)) @@ -94,10 +104,10 @@ Definition test_custom_swap_back custom_swap_back u32 x y st 1%u32 st0 . -(** [external::test_swap_non_zero]: forward function *) -Definition test_swap_non_zero_fwd - (x : u32) (st : state) : result (state * u32) := - p <- swap_fwd u32 x 0%u32 st; +(** [external::test_swap_non_zero]: forward function + 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 @@ -105,4 +115,4 @@ Definition test_swap_non_zero_fwd if x0 s= 0%u32 then Fail_ Failure else Return (st1, x0) . -End External_Funs . +End External_Funs. diff --git a/tests/coq/misc/External_FunsExternal.v b/tests/coq/misc/External_FunsExternal.v new file mode 100644 index 00000000..a8c5756a --- /dev/null +++ b/tests/coq/misc/External_FunsExternal.v @@ -0,0 +1,43 @@ +(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *) +(** [external]: external function declarations *) +Require Import Primitives. +Import Primitives. +Require Import Coq.ZArith.ZArith. +Require Import List. +Import ListNotations. +Local Open Scope Primitives_scope. +Require Export External_Types. +Include External_Types. +Module External_FunsExternal. + +(** [core::mem::swap]: forward function + 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) +. + +(** [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 *) +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 + 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) +. + +End External_FunsExternal. diff --git a/tests/coq/misc/External_FunsExternal_Template.v b/tests/coq/misc/External_FunsExternal_Template.v new file mode 100644 index 00000000..31e69c39 --- /dev/null +++ b/tests/coq/misc/External_FunsExternal_Template.v @@ -0,0 +1,44 @@ +(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *) +(** [external]: external functions. +-- This is a template file: rename it to "FunsExternal.lean" and fill the holes. *) +Require Import Primitives. +Import Primitives. +Require Import Coq.ZArith.ZArith. +Require Import List. +Import ListNotations. +Local Open Scope Primitives_scope. +Require Import External_Types. +Include External_Types. +Module External_FunsExternal_Template. + +(** [core::mem::swap]: forward function + 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) +. + +(** [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 *) +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 + 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) +. + +End External_FunsExternal_Template. diff --git a/tests/coq/misc/External_Opaque.v b/tests/coq/misc/External_Opaque.v deleted file mode 100644 index d2ee42d4..00000000 --- a/tests/coq/misc/External_Opaque.v +++ /dev/null @@ -1,38 +0,0 @@ -(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *) -(** [external]: external function declarations *) -Require Import Primitives. -Import Primitives. -Require Import Coq.ZArith.ZArith. -Require Import List. -Import ListNotations. -Local Open Scope Primitives_scope. -Require Export External_Types. -Import External_Types. -Module External_Opaque. - -(** [core::mem::swap]: forward function *) -Axiom core_mem_swap_fwd : - forall(T : Type), T -> T -> state -> result (state * unit) -. - -(** [core::mem::swap]: backward function 0 *) -Axiom core_mem_swap_back0 : - forall(T : Type), T -> T -> state -> state -> result (state * T) -. - -(** [core::mem::swap]: backward function 1 *) -Axiom core_mem_swap_back1 : - forall(T : Type), T -> T -> state -> state -> result (state * T) -. - -(** [core::num::nonzero::NonZeroU32::{14}::new]: forward function *) -Axiom core_num_nonzero_non_zero_u32_new_fwd - : u32 -> state -> result (state * (option Core_num_nonzero_non_zero_u32_t)) -. - -(** [core::option::Option::{0}::unwrap]: forward function *) -Axiom core_option_option_unwrap_fwd : - forall(T : Type), option T -> state -> result (state * T) -. - -End External_Opaque . diff --git a/tests/coq/misc/External_Types.v b/tests/coq/misc/External_Types.v index 1883fa6c..b42c2ecf 100644 --- a/tests/coq/misc/External_Types.v +++ b/tests/coq/misc/External_Types.v @@ -6,12 +6,8 @@ Require Import Coq.ZArith.ZArith. Require Import List. Import ListNotations. Local Open Scope Primitives_scope. +Require Import External_TypesExternal. +Include External_TypesExternal. Module External_Types. -(** [core::num::nonzero::NonZeroU32] *) -Axiom Core_num_nonzero_non_zero_u32_t : Type. - -(** The state type used in the state-error monad *) -Axiom state : Type. - -End External_Types . +End External_Types. diff --git a/tests/coq/misc/External_TypesExternal.v b/tests/coq/misc/External_TypesExternal.v new file mode 100644 index 00000000..3f02b839 --- /dev/null +++ b/tests/coq/misc/External_TypesExternal.v @@ -0,0 +1,19 @@ +(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *) +(** [external]: external types. +-- This is a template file: rename it to "TypesExternal.lean" and fill the holes. *) +Require Import Primitives. +Import Primitives. +Require Import Coq.ZArith.ZArith. +Require Import List. +Import ListNotations. +Local Open Scope Primitives_scope. +Module External_TypesExternal. + +(** [core::num::nonzero::NonZeroU32] + Source: '/rustc/d59363ad0b6391b7fc5bbb02c9ccf9300eef3753/library/core/src/num/nonzero.rs', lines 50:12-50:33 *) +Axiom core_num_nonzero_NonZeroU32_t : Type. + +(** The state type used in the state-error monad *) +Axiom state : Type. + +End External_TypesExternal. diff --git a/tests/coq/misc/External_TypesExternal_Template.v b/tests/coq/misc/External_TypesExternal_Template.v new file mode 100644 index 00000000..7ba79d8e --- /dev/null +++ b/tests/coq/misc/External_TypesExternal_Template.v @@ -0,0 +1,19 @@ +(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *) +(** [external]: external types. +-- This is a template file: rename it to "TypesExternal.lean" and fill the holes. *) +Require Import Primitives. +Import Primitives. +Require Import Coq.ZArith.ZArith. +Require Import List. +Import ListNotations. +Local Open Scope Primitives_scope. +Module External_TypesExternal_Template. + +(** [core::num::nonzero::NonZeroU32] + Source: '/rustc/d59363ad0b6391b7fc5bbb02c9ccf9300eef3753/library/core/src/num/nonzero.rs', lines 50:12-50:33 *) +Axiom core_num_nonzero_NonZeroU32_t : Type. + +(** The state type used in the state-error monad *) +Axiom state : Type. + +End External_TypesExternal_Template. diff --git a/tests/coq/misc/Loops.v b/tests/coq/misc/Loops.v index 82e57576..83c249c1 100644 --- a/tests/coq/misc/Loops.v +++ b/tests/coq/misc/Loops.v @@ -8,24 +8,27 @@ Import ListNotations. Local Open Scope Primitives_scope. Module Loops. -(** [loops::sum]: loop 0: forward function *) -Fixpoint sum_loop_fwd (n : nat) (max : u32) (i : u32) (s : u32) : result u32 := +(** [loops::sum]: loop 0: forward function + 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 => if i s< max - then (s0 <- u32_add s i; i0 <- u32_add i 1%u32; sum_loop_fwd n0 max i0 s0) + then (s0 <- u32_add s i; i0 <- u32_add i 1%u32; sum_loop n0 max i0 s0) else u32_mul s 2%u32 end . -(** [loops::sum]: forward function *) -Definition sum_fwd (n : nat) (max : u32) : result u32 := - sum_loop_fwd n max 0%u32 0%u32 +(** [loops::sum]: forward function + 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 *) -Fixpoint sum_with_mut_borrows_loop_fwd +(** [loops::sum_with_mut_borrows]: loop 0: forward function + 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 @@ -34,18 +37,20 @@ Fixpoint sum_with_mut_borrows_loop_fwd then ( ms0 <- u32_add ms mi; mi0 <- u32_add mi 1%u32; - sum_with_mut_borrows_loop_fwd n0 max mi0 ms0) + sum_with_mut_borrows_loop n0 max mi0 ms0) else u32_mul ms 2%u32 end . -(** [loops::sum_with_mut_borrows]: forward function *) -Definition sum_with_mut_borrows_fwd (n : nat) (max : u32) : result u32 := - sum_with_mut_borrows_loop_fwd n max 0%u32 0%u32 +(** [loops::sum_with_mut_borrows]: forward function + 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 *) -Fixpoint sum_with_shared_borrows_loop_fwd +(** [loops::sum_with_shared_borrows]: loop 0: forward function + 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 @@ -54,90 +59,100 @@ Fixpoint sum_with_shared_borrows_loop_fwd then ( i0 <- u32_add i 1%u32; s0 <- u32_add s i0; - sum_with_shared_borrows_loop_fwd n0 max i0 s0) + sum_with_shared_borrows_loop n0 max i0 s0) else u32_mul s 2%u32 end . -(** [loops::sum_with_shared_borrows]: forward function *) -Definition sum_with_shared_borrows_fwd (n : nat) (max : u32) : result u32 := - sum_with_shared_borrows_loop_fwd n max 0%u32 0%u32 +(** [loops::sum_with_shared_borrows]: forward function + 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 ()) *) -Fixpoint clear_loop_fwd_back - (n : nat) (v : vec u32) (i : usize) : result (vec u32) := + (there is a single backward function, and the forward function returns ()) + 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 := vec_len u32 v in + let i0 := alloc_vec_Vec_len u32 v in if i s< i0 then ( i1 <- usize_add i 1%usize; - v0 <- vec_index_mut_back u32 v i 0%u32; - clear_loop_fwd_back n0 v0 i1) + v0 <- + alloc_vec_Vec_index_mut_back u32 usize + (core_slice_index_SliceIndexUsizeSliceTInst u32) v i 0%u32; + clear_loop n0 v0 i1) else Return v end . (** [loops::clear]: merged forward/backward function - (there is a single backward function, and the forward function returns ()) *) -Definition clear_fwd_back (n : nat) (v : vec u32) : result (vec u32) := - clear_loop_fwd_back n v 0%usize + (there is a single backward function, and the forward function returns ()) + Source: 'src/loops.rs', lines 52:0-52:30 *) +Definition clear + (n : nat) (v : alloc_vec_Vec u32) : result (alloc_vec_Vec u32) := + clear_loop n v 0%usize . -(** [loops::List] *) +(** [loops::List] + Source: 'src/loops.rs', lines 60:0-60:16 *) Inductive List_t (T : Type) := -| ListCons : T -> List_t T -> List_t T -| ListNil : List_t T +| List_Cons : T -> List_t T -> List_t T +| List_Nil : List_t T . -Arguments ListCons {T} _ _. -Arguments ListNil {T}. +Arguments List_Cons { _ }. +Arguments List_Nil { _ }. -(** [loops::list_mem]: loop 0: forward function *) -Fixpoint list_mem_loop_fwd - (n : nat) (x : u32) (ls : List_t u32) : result bool := +(** [loops::list_mem]: loop 0: forward function + 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 => match ls with - | ListCons y tl => - if y s= x then Return true else list_mem_loop_fwd n0 x tl - | ListNil => Return false + | List_Cons y tl => if y s= x then Return true else list_mem_loop n0 x tl + | List_Nil => Return false end end . -(** [loops::list_mem]: forward function *) -Definition list_mem_fwd (n : nat) (x : u32) (ls : List_t u32) : result bool := - list_mem_loop_fwd n x ls +(** [loops::list_mem]: forward function + 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 *) -Fixpoint list_nth_mut_loop_loop_fwd +(** [loops::list_nth_mut_loop]: loop 0: forward function + 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 - | ListCons x tl => + | List_Cons x tl => if i s= 0%u32 then Return x - else (i0 <- u32_sub i 1%u32; list_nth_mut_loop_loop_fwd T n0 tl i0) - | ListNil => Fail_ Failure + 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 *) -Definition list_nth_mut_loop_fwd +(** [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_fwd T n ls i + list_nth_mut_loop_loop T n ls i . -(** [loops::list_nth_mut_loop]: loop 0: backward function 0 *) +(** [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) @@ -146,19 +161,20 @@ Fixpoint list_nth_mut_loop_loop_back | O => Fail_ OutOfFuel | S n0 => match ls with - | ListCons x tl => + | List_Cons x tl => if i s= 0%u32 - then Return (ListCons ret tl) + then Return (List_Cons ret tl) else ( i0 <- u32_sub i 1%u32; tl0 <- list_nth_mut_loop_loop_back T n0 tl i0 ret; - Return (ListCons x tl0)) - | ListNil => Fail_ Failure + Return (List_Cons x tl0)) + | List_Nil => Fail_ Failure end end . -(** [loops::list_nth_mut_loop]: backward function 0 *) +(** [loops::list_nth_mut_loop]: backward function 0 + 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) @@ -166,50 +182,58 @@ Definition list_nth_mut_loop_back list_nth_mut_loop_loop_back T n ls i ret . -(** [loops::list_nth_shared_loop]: loop 0: forward function *) -Fixpoint list_nth_shared_loop_loop_fwd +(** [loops::list_nth_shared_loop]: loop 0: forward function + 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 => match ls with - | ListCons x tl => + | List_Cons x tl => if i s= 0%u32 then Return x - else (i0 <- u32_sub i 1%u32; list_nth_shared_loop_loop_fwd T n0 tl i0) - | ListNil => Fail_ Failure + else (i0 <- u32_sub i 1%u32; list_nth_shared_loop_loop T n0 tl i0) + | List_Nil => Fail_ Failure end end . -(** [loops::list_nth_shared_loop]: forward function *) -Definition list_nth_shared_loop_fwd +(** [loops::list_nth_shared_loop]: forward function + 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_fwd T n ls i + list_nth_shared_loop_loop T n ls i . -(** [loops::get_elem_mut]: loop 0: forward function *) -Fixpoint get_elem_mut_loop_fwd +(** [loops::get_elem_mut]: loop 0: forward function + 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 - | ListCons y tl => - if y s= x then Return y else get_elem_mut_loop_fwd n0 x tl - | ListNil => Fail_ Failure + | 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 *) -Definition get_elem_mut_fwd - (n : nat) (slots : vec (List_t usize)) (x : usize) : result usize := - l <- vec_index_mut_fwd (List_t usize) slots 0%usize; - get_elem_mut_loop_fwd n x l +(** [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 *) +(** [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) @@ -218,86 +242,102 @@ Fixpoint get_elem_mut_loop_back | O => Fail_ OutOfFuel | S n0 => match ls with - | ListCons y tl => + | List_Cons y tl => if y s= x - then Return (ListCons ret tl) - else (tl0 <- get_elem_mut_loop_back n0 x tl ret; Return (ListCons y tl0)) - | ListNil => Fail_ Failure + then Return (List_Cons ret tl) + else ( + tl0 <- get_elem_mut_loop_back n0 x tl ret; Return (List_Cons y tl0)) + | List_Nil => Fail_ Failure end end . -(** [loops::get_elem_mut]: backward function 0 *) +(** [loops::get_elem_mut]: backward function 0 + Source: 'src/loops.rs', lines 103:0-103:73 *) Definition get_elem_mut_back - (n : nat) (slots : vec (List_t usize)) (x : usize) (ret : usize) : - result (vec (List_t usize)) + (n : nat) (slots : alloc_vec_Vec (List_t usize)) (x : usize) (ret : usize) : + result (alloc_vec_Vec (List_t usize)) := - l <- vec_index_mut_fwd (List_t usize) slots 0%usize; + l <- + 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; - vec_index_mut_back (List_t usize) slots 0%usize l0 + alloc_vec_Vec_index_mut_back (List_t usize) usize + (core_slice_index_SliceIndexUsizeSliceTInst (List_t usize)) slots 0%usize + l0 . -(** [loops::get_elem_shared]: loop 0: forward function *) -Fixpoint get_elem_shared_loop_fwd +(** [loops::get_elem_shared]: loop 0: forward function + 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 => match ls with - | ListCons y tl => - if y s= x then Return y else get_elem_shared_loop_fwd n0 x tl - | ListNil => Fail_ Failure + | List_Cons y tl => + if y s= x then Return y else get_elem_shared_loop n0 x tl + | List_Nil => Fail_ Failure end end . -(** [loops::get_elem_shared]: forward function *) -Definition get_elem_shared_fwd - (n : nat) (slots : vec (List_t usize)) (x : usize) : result usize := - l <- vec_index_fwd (List_t usize) slots 0%usize; - get_elem_shared_loop_fwd n x l +(** [loops::get_elem_shared]: forward function + Source: 'src/loops.rs', lines 119:0-119:68 *) +Definition get_elem_shared + (n : nat) (slots : alloc_vec_Vec (List_t usize)) (x : usize) : + result usize + := + l <- + alloc_vec_Vec_index (List_t usize) usize + (core_slice_index_SliceIndexUsizeSliceTInst (List_t usize)) slots 0%usize; + get_elem_shared_loop n x l . -(** [loops::id_mut]: forward function *) -Definition id_mut_fwd (T : Type) (ls : List_t T) : result (List_t T) := - Return ls -. +(** [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]: backward function 0 + 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 . -(** [loops::id_shared]: forward function *) -Definition id_shared_fwd (T : Type) (ls : List_t T) : result (List_t T) := +(** [loops::id_shared]: forward function + 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 *) -Fixpoint list_nth_mut_loop_with_id_loop_fwd +(** [loops::list_nth_mut_loop_with_id]: loop 0: forward function + 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 - | ListCons x tl => + | 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_fwd T n0 i0 tl) - | ListNil => Fail_ Failure + 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 *) -Definition list_nth_mut_loop_with_id_fwd +(** [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_fwd T ls; list_nth_mut_loop_with_id_loop_fwd T n i ls0 + 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 *) +(** [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) @@ -306,53 +346,57 @@ Fixpoint list_nth_mut_loop_with_id_loop_back | O => Fail_ OutOfFuel | S n0 => match ls with - | ListCons x tl => + | List_Cons x tl => if i s= 0%u32 - then Return (ListCons ret tl) + then Return (List_Cons ret tl) else ( i0 <- u32_sub i 1%u32; tl0 <- list_nth_mut_loop_with_id_loop_back T n0 i0 tl ret; - Return (ListCons x tl0)) - | ListNil => Fail_ Failure + Return (List_Cons x tl0)) + | List_Nil => Fail_ Failure end end . -(** [loops::list_nth_mut_loop_with_id]: backward function 0 *) +(** [loops::list_nth_mut_loop_with_id]: backward function 0 + 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) := - ls0 <- id_mut_fwd T ls; + 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 . -(** [loops::list_nth_shared_loop_with_id]: loop 0: forward function *) -Fixpoint list_nth_shared_loop_with_id_loop_fwd +(** [loops::list_nth_shared_loop_with_id]: loop 0: forward function + 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 => match ls with - | ListCons x tl => + | 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_fwd T n0 i0 tl) - | ListNil => Fail_ Failure + i0 <- u32_sub i 1%u32; list_nth_shared_loop_with_id_loop T n0 i0 tl) + | List_Nil => Fail_ Failure end end . -(** [loops::list_nth_shared_loop_with_id]: forward function *) -Definition list_nth_shared_loop_with_id_fwd +(** [loops::list_nth_shared_loop_with_id]: forward function + 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_fwd T ls; list_nth_shared_loop_with_id_loop_fwd T n i ls0 + ls0 <- id_shared T ls; list_nth_shared_loop_with_id_loop T n i ls0 . -(** [loops::list_nth_mut_loop_pair]: loop 0: forward function *) -Fixpoint list_nth_mut_loop_pair_loop_fwd +(** [loops::list_nth_mut_loop_pair]: loop 0: forward function + 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) := @@ -360,30 +404,31 @@ Fixpoint list_nth_mut_loop_pair_loop_fwd | O => Fail_ OutOfFuel | S n0 => match ls0 with - | ListCons x0 tl0 => + | List_Cons x0 tl0 => match ls1 with - | ListCons x1 tl1 => + | List_Cons x1 tl1 => if i s= 0%u32 then Return (x0, x1) else ( - i0 <- u32_sub i 1%u32; - list_nth_mut_loop_pair_loop_fwd T n0 tl0 tl1 i0) - | ListNil => Fail_ Failure + i0 <- u32_sub i 1%u32; list_nth_mut_loop_pair_loop T n0 tl0 tl1 i0) + | List_Nil => Fail_ Failure end - | ListNil => Fail_ Failure + | List_Nil => Fail_ Failure end end . -(** [loops::list_nth_mut_loop_pair]: forward function *) -Definition list_nth_mut_loop_pair_fwd +(** [loops::list_nth_mut_loop_pair]: forward function + 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) := - list_nth_mut_loop_pair_loop_fwd T n ls0 ls1 i + list_nth_mut_loop_pair_loop T n ls0 ls1 i . -(** [loops::list_nth_mut_loop_pair]: loop 0: backward function 0 *) +(** [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) @@ -392,23 +437,24 @@ Fixpoint list_nth_mut_loop_pair_loop_back'a | O => Fail_ OutOfFuel | S n0 => match ls0 with - | ListCons x0 tl0 => + | List_Cons x0 tl0 => match ls1 with - | ListCons x1 tl1 => + | List_Cons x1 tl1 => if i s= 0%u32 - then Return (ListCons ret tl0) + 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 (ListCons x0 tl00)) - | ListNil => Fail_ Failure + Return (List_Cons x0 tl00)) + | List_Nil => Fail_ Failure end - | ListNil => Fail_ Failure + | List_Nil => Fail_ Failure end end . -(** [loops::list_nth_mut_loop_pair]: backward function 0 *) +(** [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) @@ -416,7 +462,8 @@ Definition list_nth_mut_loop_pair_back'a 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 *) +(** [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) @@ -425,23 +472,24 @@ Fixpoint list_nth_mut_loop_pair_loop_back'b | O => Fail_ OutOfFuel | S n0 => match ls0 with - | ListCons x0 tl0 => + | List_Cons x0 tl0 => match ls1 with - | ListCons x1 tl1 => + | List_Cons x1 tl1 => if i s= 0%u32 - then Return (ListCons ret tl1) + 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 (ListCons x1 tl10)) - | ListNil => Fail_ Failure + Return (List_Cons x1 tl10)) + | List_Nil => Fail_ Failure end - | ListNil => Fail_ Failure + | List_Nil => Fail_ Failure end end . -(** [loops::list_nth_mut_loop_pair]: backward function 1 *) +(** [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) @@ -449,8 +497,9 @@ Definition list_nth_mut_loop_pair_back'b list_nth_mut_loop_pair_loop_back'b T n ls0 ls1 i ret . -(** [loops::list_nth_shared_loop_pair]: loop 0: forward function *) -Fixpoint list_nth_shared_loop_pair_loop_fwd +(** [loops::list_nth_shared_loop_pair]: loop 0: forward function + 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) : result (T * T) := @@ -458,31 +507,32 @@ Fixpoint list_nth_shared_loop_pair_loop_fwd | O => Fail_ OutOfFuel | S n0 => match ls0 with - | ListCons x0 tl0 => + | List_Cons x0 tl0 => match ls1 with - | ListCons x1 tl1 => + | List_Cons x1 tl1 => if i s= 0%u32 then Return (x0, x1) else ( - i0 <- u32_sub i 1%u32; - list_nth_shared_loop_pair_loop_fwd T n0 tl0 tl1 i0) - | ListNil => Fail_ Failure + i0 <- u32_sub i 1%u32; list_nth_shared_loop_pair_loop T n0 tl0 tl1 i0) + | List_Nil => Fail_ Failure end - | ListNil => Fail_ Failure + | List_Nil => Fail_ Failure end end . -(** [loops::list_nth_shared_loop_pair]: forward function *) -Definition list_nth_shared_loop_pair_fwd +(** [loops::list_nth_shared_loop_pair]: forward function + 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) : result (T * T) := - list_nth_shared_loop_pair_loop_fwd T n ls0 ls1 i + list_nth_shared_loop_pair_loop T n ls0 ls1 i . -(** [loops::list_nth_mut_loop_pair_merge]: loop 0: forward function *) -Fixpoint list_nth_mut_loop_pair_merge_loop_fwd +(** [loops::list_nth_mut_loop_pair_merge]: loop 0: forward function + 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) := @@ -490,30 +540,32 @@ Fixpoint list_nth_mut_loop_pair_merge_loop_fwd | O => Fail_ OutOfFuel | S n0 => match ls0 with - | ListCons x0 tl0 => + | List_Cons x0 tl0 => match ls1 with - | ListCons x1 tl1 => + | List_Cons x1 tl1 => if i s= 0%u32 then Return (x0, x1) else ( i0 <- u32_sub i 1%u32; - list_nth_mut_loop_pair_merge_loop_fwd T n0 tl0 tl1 i0) - | ListNil => Fail_ Failure + list_nth_mut_loop_pair_merge_loop T n0 tl0 tl1 i0) + | List_Nil => Fail_ Failure end - | ListNil => Fail_ Failure + | List_Nil => Fail_ Failure end end . -(** [loops::list_nth_mut_loop_pair_merge]: forward function *) -Definition list_nth_mut_loop_pair_merge_fwd +(** [loops::list_nth_mut_loop_pair_merge]: forward function + 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) := - list_nth_mut_loop_pair_merge_loop_fwd T n ls0 ls1 i + list_nth_mut_loop_pair_merge_loop T n ls0 ls1 i . -(** [loops::list_nth_mut_loop_pair_merge]: loop 0: backward function 0 *) +(** [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)) : @@ -523,24 +575,25 @@ Fixpoint list_nth_mut_loop_pair_merge_loop_back | O => Fail_ OutOfFuel | S n0 => match ls0 with - | ListCons x0 tl0 => + | List_Cons x0 tl0 => match ls1 with - | ListCons x1 tl1 => + | List_Cons x1 tl1 => if i s= 0%u32 - then let (t, t0) := ret in Return (ListCons t tl0, ListCons t0 tl1) + 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 (ListCons x0 tl00, ListCons x1 tl10)) - | ListNil => Fail_ Failure + Return (List_Cons x0 tl00, List_Cons x1 tl10)) + | List_Nil => Fail_ Failure end - | ListNil => Fail_ Failure + | List_Nil => Fail_ Failure end end . -(** [loops::list_nth_mut_loop_pair_merge]: backward function 0 *) +(** [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)) : @@ -549,8 +602,9 @@ Definition list_nth_mut_loop_pair_merge_back 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 *) -Fixpoint list_nth_shared_loop_pair_merge_loop_fwd +(** [loops::list_nth_shared_loop_pair_merge]: loop 0: forward function + 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) : result (T * T) := @@ -558,31 +612,33 @@ Fixpoint list_nth_shared_loop_pair_merge_loop_fwd | O => Fail_ OutOfFuel | S n0 => match ls0 with - | ListCons x0 tl0 => + | List_Cons x0 tl0 => match ls1 with - | ListCons x1 tl1 => + | List_Cons x1 tl1 => if i s= 0%u32 then Return (x0, x1) else ( i0 <- u32_sub i 1%u32; - list_nth_shared_loop_pair_merge_loop_fwd T n0 tl0 tl1 i0) - | ListNil => Fail_ Failure + list_nth_shared_loop_pair_merge_loop T n0 tl0 tl1 i0) + | List_Nil => Fail_ Failure end - | ListNil => Fail_ Failure + | List_Nil => Fail_ Failure end end . -(** [loops::list_nth_shared_loop_pair_merge]: forward function *) -Definition list_nth_shared_loop_pair_merge_fwd +(** [loops::list_nth_shared_loop_pair_merge]: forward function + 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) : result (T * T) := - list_nth_shared_loop_pair_merge_loop_fwd T n ls0 ls1 i + list_nth_shared_loop_pair_merge_loop T n ls0 ls1 i . -(** [loops::list_nth_mut_shared_loop_pair]: loop 0: forward function *) -Fixpoint list_nth_mut_shared_loop_pair_loop_fwd +(** [loops::list_nth_mut_shared_loop_pair]: loop 0: forward function + 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) := @@ -590,30 +646,32 @@ Fixpoint list_nth_mut_shared_loop_pair_loop_fwd | O => Fail_ OutOfFuel | S n0 => match ls0 with - | ListCons x0 tl0 => + | List_Cons x0 tl0 => match ls1 with - | ListCons x1 tl1 => + | List_Cons x1 tl1 => if i s= 0%u32 then Return (x0, x1) else ( i0 <- u32_sub i 1%u32; - list_nth_mut_shared_loop_pair_loop_fwd T n0 tl0 tl1 i0) - | ListNil => Fail_ Failure + list_nth_mut_shared_loop_pair_loop T n0 tl0 tl1 i0) + | List_Nil => Fail_ Failure end - | ListNil => Fail_ Failure + | List_Nil => Fail_ Failure end end . -(** [loops::list_nth_mut_shared_loop_pair]: forward function *) -Definition list_nth_mut_shared_loop_pair_fwd +(** [loops::list_nth_mut_shared_loop_pair]: forward function + 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) := - list_nth_mut_shared_loop_pair_loop_fwd T n ls0 ls1 i + list_nth_mut_shared_loop_pair_loop T n ls0 ls1 i . -(** [loops::list_nth_mut_shared_loop_pair]: loop 0: backward function 0 *) +(** [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) @@ -622,23 +680,24 @@ Fixpoint list_nth_mut_shared_loop_pair_loop_back | O => Fail_ OutOfFuel | S n0 => match ls0 with - | ListCons x0 tl0 => + | List_Cons x0 tl0 => match ls1 with - | ListCons x1 tl1 => + | List_Cons x1 tl1 => if i s= 0%u32 - then Return (ListCons ret tl0) + 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 (ListCons x0 tl00)) - | ListNil => Fail_ Failure + Return (List_Cons x0 tl00)) + | List_Nil => Fail_ Failure end - | ListNil => Fail_ Failure + | List_Nil => Fail_ Failure end end . -(** [loops::list_nth_mut_shared_loop_pair]: backward function 0 *) +(** [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) @@ -646,8 +705,9 @@ Definition list_nth_mut_shared_loop_pair_back 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 *) -Fixpoint list_nth_mut_shared_loop_pair_merge_loop_fwd +(** [loops::list_nth_mut_shared_loop_pair_merge]: loop 0: forward function + 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) := @@ -655,30 +715,32 @@ Fixpoint list_nth_mut_shared_loop_pair_merge_loop_fwd | O => Fail_ OutOfFuel | S n0 => match ls0 with - | ListCons x0 tl0 => + | List_Cons x0 tl0 => match ls1 with - | ListCons x1 tl1 => + | List_Cons x1 tl1 => if i s= 0%u32 then Return (x0, x1) else ( i0 <- u32_sub i 1%u32; - list_nth_mut_shared_loop_pair_merge_loop_fwd T n0 tl0 tl1 i0) - | ListNil => Fail_ Failure + list_nth_mut_shared_loop_pair_merge_loop T n0 tl0 tl1 i0) + | List_Nil => Fail_ Failure end - | ListNil => Fail_ Failure + | List_Nil => Fail_ Failure end end . -(** [loops::list_nth_mut_shared_loop_pair_merge]: forward function *) -Definition list_nth_mut_shared_loop_pair_merge_fwd +(** [loops::list_nth_mut_shared_loop_pair_merge]: forward function + 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_fwd T n ls0 ls1 i + 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 *) +(** [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) @@ -687,24 +749,25 @@ Fixpoint list_nth_mut_shared_loop_pair_merge_loop_back | O => Fail_ OutOfFuel | S n0 => match ls0 with - | ListCons x0 tl0 => + | List_Cons x0 tl0 => match ls1 with - | ListCons x1 tl1 => + | List_Cons x1 tl1 => if i s= 0%u32 - then Return (ListCons ret tl0) + 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 (ListCons x0 tl00)) - | ListNil => Fail_ Failure + Return (List_Cons x0 tl00)) + | List_Nil => Fail_ Failure end - | ListNil => Fail_ Failure + | List_Nil => Fail_ Failure end end . -(** [loops::list_nth_mut_shared_loop_pair_merge]: backward function 0 *) +(** [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) @@ -712,8 +775,9 @@ Definition list_nth_mut_shared_loop_pair_merge_back list_nth_mut_shared_loop_pair_merge_loop_back T n ls0 ls1 i ret . -(** [loops::list_nth_shared_mut_loop_pair]: loop 0: forward function *) -Fixpoint list_nth_shared_mut_loop_pair_loop_fwd +(** [loops::list_nth_shared_mut_loop_pair]: loop 0: forward function + 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) := @@ -721,30 +785,32 @@ Fixpoint list_nth_shared_mut_loop_pair_loop_fwd | O => Fail_ OutOfFuel | S n0 => match ls0 with - | ListCons x0 tl0 => + | List_Cons x0 tl0 => match ls1 with - | ListCons x1 tl1 => + | List_Cons x1 tl1 => if i s= 0%u32 then Return (x0, x1) else ( i0 <- u32_sub i 1%u32; - list_nth_shared_mut_loop_pair_loop_fwd T n0 tl0 tl1 i0) - | ListNil => Fail_ Failure + list_nth_shared_mut_loop_pair_loop T n0 tl0 tl1 i0) + | List_Nil => Fail_ Failure end - | ListNil => Fail_ Failure + | List_Nil => Fail_ Failure end end . -(** [loops::list_nth_shared_mut_loop_pair]: forward function *) -Definition list_nth_shared_mut_loop_pair_fwd +(** [loops::list_nth_shared_mut_loop_pair]: forward function + 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) := - list_nth_shared_mut_loop_pair_loop_fwd T n ls0 ls1 i + list_nth_shared_mut_loop_pair_loop T n ls0 ls1 i . -(** [loops::list_nth_shared_mut_loop_pair]: loop 0: backward function 1 *) +(** [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) @@ -753,23 +819,24 @@ Fixpoint list_nth_shared_mut_loop_pair_loop_back | O => Fail_ OutOfFuel | S n0 => match ls0 with - | ListCons x0 tl0 => + | List_Cons x0 tl0 => match ls1 with - | ListCons x1 tl1 => + | List_Cons x1 tl1 => if i s= 0%u32 - then Return (ListCons ret tl1) + 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 (ListCons x1 tl10)) - | ListNil => Fail_ Failure + Return (List_Cons x1 tl10)) + | List_Nil => Fail_ Failure end - | ListNil => Fail_ Failure + | List_Nil => Fail_ Failure end end . -(** [loops::list_nth_shared_mut_loop_pair]: backward function 1 *) +(** [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) @@ -777,8 +844,9 @@ Definition list_nth_shared_mut_loop_pair_back 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 *) -Fixpoint list_nth_shared_mut_loop_pair_merge_loop_fwd +(** [loops::list_nth_shared_mut_loop_pair_merge]: loop 0: forward function + 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) := @@ -786,30 +854,32 @@ Fixpoint list_nth_shared_mut_loop_pair_merge_loop_fwd | O => Fail_ OutOfFuel | S n0 => match ls0 with - | ListCons x0 tl0 => + | List_Cons x0 tl0 => match ls1 with - | ListCons x1 tl1 => + | List_Cons x1 tl1 => if i s= 0%u32 then Return (x0, x1) else ( i0 <- u32_sub i 1%u32; - list_nth_shared_mut_loop_pair_merge_loop_fwd T n0 tl0 tl1 i0) - | ListNil => Fail_ Failure + list_nth_shared_mut_loop_pair_merge_loop T n0 tl0 tl1 i0) + | List_Nil => Fail_ Failure end - | ListNil => Fail_ Failure + | List_Nil => Fail_ Failure end end . -(** [loops::list_nth_shared_mut_loop_pair_merge]: forward function *) -Definition list_nth_shared_mut_loop_pair_merge_fwd +(** [loops::list_nth_shared_mut_loop_pair_merge]: forward function + 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_fwd T n ls0 ls1 i + 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 *) +(** [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) @@ -818,24 +888,25 @@ Fixpoint list_nth_shared_mut_loop_pair_merge_loop_back | O => Fail_ OutOfFuel | S n0 => match ls0 with - | ListCons x0 tl0 => + | List_Cons x0 tl0 => match ls1 with - | ListCons x1 tl1 => + | List_Cons x1 tl1 => if i s= 0%u32 - then Return (ListCons ret tl1) + 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 (ListCons x1 tl10)) - | ListNil => Fail_ Failure + Return (List_Cons x1 tl10)) + | List_Nil => Fail_ Failure end - | ListNil => Fail_ Failure + | List_Nil => Fail_ Failure end end . -(** [loops::list_nth_shared_mut_loop_pair_merge]: backward function 0 *) +(** [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) @@ -843,4 +914,4 @@ Definition list_nth_shared_mut_loop_pair_merge_back list_nth_shared_mut_loop_pair_merge_loop_back T n ls0 ls1 i ret . -End Loops . +End Loops. diff --git a/tests/coq/misc/NoNestedBorrows.v b/tests/coq/misc/NoNestedBorrows.v index c1c24e00..1a0014c0 100644 --- a/tests/coq/misc/NoNestedBorrows.v +++ b/tests/coq/misc/NoNestedBorrows.v @@ -8,114 +8,207 @@ Import ListNotations. Local Open Scope Primitives_scope. Module NoNestedBorrows. -(** [no_nested_borrows::Pair] *) -Record Pair_t (T1 T2 : Type) := mkPair_t { Pair_x : T1; Pair_y : T2; }. +(** [no_nested_borrows::Pair] + Source: 'src/no_nested_borrows.rs', lines 4:0-4:23 *) +Record Pair_t (T1 T2 : Type) := mkPair_t { pair_x : T1; pair_y : T2; }. -Arguments mkPair_t {T1} {T2} _ _. -Arguments Pair_x {T1} {T2}. -Arguments Pair_y {T1} {T2}. +Arguments mkPair_t { _ _ }. +Arguments pair_x { _ _ }. +Arguments pair_y { _ _ }. -(** [no_nested_borrows::List] *) +(** [no_nested_borrows::List] + Source: 'src/no_nested_borrows.rs', lines 9:0-9:16 *) Inductive List_t (T : Type) := -| ListCons : T -> List_t T -> List_t T -| ListNil : List_t T +| List_Cons : T -> List_t T -> List_t T +| List_Nil : List_t T . -Arguments ListCons {T} _ _. -Arguments ListNil {T}. +Arguments List_Cons { _ }. +Arguments List_Nil { _ }. -(** [no_nested_borrows::One] *) -Inductive One_t (T1 : Type) := | OneOne : T1 -> One_t T1. +(** [no_nested_borrows::One] + Source: 'src/no_nested_borrows.rs', lines 20:0-20:16 *) +Inductive One_t (T1 : Type) := | One_One : T1 -> One_t T1. -Arguments OneOne {T1} _. +Arguments One_One { _ }. -(** [no_nested_borrows::EmptyEnum] *) -Inductive Empty_enum_t := | EmptyEnumEmpty : Empty_enum_t. +(** [no_nested_borrows::EmptyEnum] + Source: 'src/no_nested_borrows.rs', lines 26:0-26:18 *) +Inductive EmptyEnum_t := | EmptyEnum_Empty : EmptyEnum_t. -(** [no_nested_borrows::Enum] *) -Inductive Enum_t := | EnumVariant1 : Enum_t | EnumVariant2 : Enum_t. +(** [no_nested_borrows::Enum] + Source: 'src/no_nested_borrows.rs', lines 32:0-32:13 *) +Inductive Enum_t := | Enum_Variant1 : Enum_t | Enum_Variant2 : Enum_t. -(** [no_nested_borrows::EmptyStruct] *) -Record Empty_struct_t := mkEmpty_struct_t { }. +(** [no_nested_borrows::EmptyStruct] + Source: 'src/no_nested_borrows.rs', lines 39:0-39:22 *) +Record EmptyStruct_t := mkEmptyStruct_t { }. -(** [no_nested_borrows::Sum] *) +(** [no_nested_borrows::Sum] + Source: 'src/no_nested_borrows.rs', lines 41:0-41:20 *) Inductive Sum_t (T1 T2 : Type) := -| SumLeft : T1 -> Sum_t T1 T2 -| SumRight : T2 -> Sum_t T1 T2 +| Sum_Left : T1 -> Sum_t T1 T2 +| Sum_Right : T2 -> Sum_t T1 T2 . -Arguments SumLeft {T1} {T2} _. -Arguments SumRight {T1} {T2} _. +Arguments Sum_Left { _ _ }. +Arguments Sum_Right { _ _ }. -(** [no_nested_borrows::neg_test]: forward function *) -Definition neg_test_fwd (x : i32) : result i32 := +(** [no_nested_borrows::neg_test]: forward function + 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_test]: forward function *) -Definition add_test_fwd (x : u32) (y : u32) : result u32 := +(** [no_nested_borrows::add_u32]: forward function + 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_test]: forward function *) -Definition subs_test_fwd (x : u32) (y : u32) : result u32 := +(** [no_nested_borrows::subs_u32]: forward function + 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_test]: forward function *) -Definition div_test_fwd (x : u32) (y : u32) : result u32 := +(** [no_nested_borrows::div_u32]: forward function + 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_test1]: forward function *) -Definition div_test1_fwd (x : u32) : result u32 := +(** [no_nested_borrows::div_u32_const]: forward function + 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_test]: forward function *) -Definition rem_test_fwd (x : u32) (y : u32) : result u32 := +(** [no_nested_borrows::rem_u32]: forward function + 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::cast_test]: forward function *) -Definition cast_test_fwd (x : u32) : result i32 := +(** [no_nested_borrows::mul_u32]: forward function + 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 + 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 + 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 + 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 + 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 + 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 + 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 + 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 +. + +(** [no_nested_borrows::mix_arith_i32]: forward function + 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 +. + +(** [no_nested_borrows::CONST0] + Source: 'src/no_nested_borrows.rs', lines 125:0-125:23 *) +Definition const0_body : result usize := usize_add 1%usize 1%usize. +Definition const0_c : usize := const0_body%global. + +(** [no_nested_borrows::CONST1] + Source: 'src/no_nested_borrows.rs', lines 126:0-126:23 *) +Definition const1_body : result usize := usize_mul 2%usize 2%usize. +Definition const1_c : usize := const1_body%global. + +(** [no_nested_borrows::cast_test]: forward function + Source: 'src/no_nested_borrows.rs', lines 128:0-128:31 *) +Definition cast_test (x : u32) : result i32 := scalar_cast U32 I32 x. -(** [no_nested_borrows::test2]: forward function *) -Definition test2_fwd : result unit := +(** [no_nested_borrows::test2]: forward function + Source: 'src/no_nested_borrows.rs', lines 133:0-133:14 *) +Definition test2 : result unit := _ <- u32_add 23%u32 44%u32; Return tt. (** Unit test for [no_nested_borrows::test2] *) -Check (test2_fwd )%return. +Check (test2 )%return. -(** [no_nested_borrows::get_max]: forward function *) -Definition get_max_fwd (x : u32) (y : u32) : result u32 := +(** [no_nested_borrows::get_max]: forward function + Source: 'src/no_nested_borrows.rs', lines 145:0-145:37 *) +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 *) -Definition test3_fwd : result unit := - x <- get_max_fwd 4%u32 3%u32; - y <- get_max_fwd 10%u32 11%u32; +(** [no_nested_borrows::test3]: forward function + Source: 'src/no_nested_borrows.rs', lines 153:0-153:14 *) +Definition test3 : result unit := + x <- get_max 4%u32 3%u32; + y <- get_max 10%u32 11%u32; z <- u32_add x y; if negb (z s= 15%u32) then Fail_ Failure else Return tt . (** Unit test for [no_nested_borrows::test3] *) -Check (test3_fwd )%return. +Check (test3 )%return. -(** [no_nested_borrows::test_neg1]: forward function *) -Definition test_neg1_fwd : result unit := +(** [no_nested_borrows::test_neg1]: forward function + Source: 'src/no_nested_borrows.rs', lines 160:0-160:18 *) +Definition test_neg1 : result unit := y <- i32_neg 3%i32; if negb (y s= (-3)%i32) then Fail_ Failure else Return tt . (** Unit test for [no_nested_borrows::test_neg1] *) -Check (test_neg1_fwd )%return. +Check (test_neg1 )%return. -(** [no_nested_borrows::refs_test1]: forward function *) -Definition refs_test1_fwd : result unit := +(** [no_nested_borrows::refs_test1]: forward function + Source: 'src/no_nested_borrows.rs', lines 167:0-167:19 *) +Definition refs_test1 : result unit := if negb (1%i32 s= 1%i32) then Fail_ Failure else Return tt . (** Unit test for [no_nested_borrows::refs_test1] *) -Check (refs_test1_fwd )%return. +Check (refs_test1 )%return. -(** [no_nested_borrows::refs_test2]: forward function *) -Definition refs_test2_fwd : result unit := +(** [no_nested_borrows::refs_test2]: forward function + Source: 'src/no_nested_borrows.rs', lines 178:0-178:19 *) +Definition refs_test2 : result unit := if negb (2%i32 s= 2%i32) then Fail_ Failure else @@ -128,97 +221,109 @@ Definition refs_test2_fwd : result unit := . (** Unit test for [no_nested_borrows::refs_test2] *) -Check (refs_test2_fwd )%return. +Check (refs_test2 )%return. -(** [no_nested_borrows::test_list1]: forward function *) -Definition test_list1_fwd : result unit := +(** [no_nested_borrows::test_list1]: forward function + Source: 'src/no_nested_borrows.rs', lines 194:0-194:19 *) +Definition test_list1 : result unit := Return tt. (** Unit test for [no_nested_borrows::test_list1] *) -Check (test_list1_fwd )%return. - -(** [no_nested_borrows::test_box1]: forward function *) -Definition test_box1_fwd : result unit := - let b := 1%i32 in - let x := b in +Check (test_list1 )%return. + +(** [no_nested_borrows::test_box1]: forward function + Source: 'src/no_nested_borrows.rs', lines 199:0-199:18 *) +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; if negb (x s= 1%i32) then Fail_ Failure else Return tt . (** Unit test for [no_nested_borrows::test_box1] *) -Check (test_box1_fwd )%return. +Check (test_box1 )%return. -(** [no_nested_borrows::copy_int]: forward function *) -Definition copy_int_fwd (x : i32) : result i32 := +(** [no_nested_borrows::copy_int]: forward function + Source: 'src/no_nested_borrows.rs', lines 209:0-209:30 *) +Definition copy_int (x : i32) : result i32 := Return x. -(** [no_nested_borrows::test_unreachable]: forward function *) -Definition test_unreachable_fwd (b : bool) : result unit := +(** [no_nested_borrows::test_unreachable]: forward function + Source: 'src/no_nested_borrows.rs', lines 215:0-215:32 *) +Definition test_unreachable (b : bool) : result unit := if b then Fail_ Failure else Return tt . -(** [no_nested_borrows::test_panic]: forward function *) -Definition test_panic_fwd (b : bool) : result unit := +(** [no_nested_borrows::test_panic]: forward function + Source: 'src/no_nested_borrows.rs', lines 223:0-223:26 *) +Definition test_panic (b : bool) : result unit := if b then Fail_ Failure else Return tt . -(** [no_nested_borrows::test_copy_int]: forward function *) -Definition test_copy_int_fwd : result unit := - y <- copy_int_fwd 0%i32; - if negb (0%i32 s= y) then Fail_ Failure else Return tt +(** [no_nested_borrows::test_copy_int]: forward function + Source: 'src/no_nested_borrows.rs', lines 230:0-230:22 *) +Definition test_copy_int : result unit := + y <- copy_int 0%i32; if negb (0%i32 s= y) then Fail_ Failure else Return tt . (** Unit test for [no_nested_borrows::test_copy_int] *) -Check (test_copy_int_fwd )%return. +Check (test_copy_int )%return. -(** [no_nested_borrows::is_cons]: forward function *) -Definition is_cons_fwd (T : Type) (l : List_t T) : result bool := - match l with | ListCons t l0 => Return true | ListNil => Return false end +(** [no_nested_borrows::is_cons]: forward function + Source: 'src/no_nested_borrows.rs', lines 237:0-237:38 *) +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 . -(** [no_nested_borrows::test_is_cons]: forward function *) -Definition test_is_cons_fwd : result unit := - let l := ListNil in - b <- is_cons_fwd i32 (ListCons 0%i32 l); +(** [no_nested_borrows::test_is_cons]: forward function + Source: 'src/no_nested_borrows.rs', lines 244:0-244:21 *) +Definition test_is_cons : result unit := + let l := List_Nil in + b <- is_cons i32 (List_Cons 0%i32 l); if negb b then Fail_ Failure else Return tt . (** Unit test for [no_nested_borrows::test_is_cons] *) -Check (test_is_cons_fwd )%return. +Check (test_is_cons )%return. -(** [no_nested_borrows::split_list]: forward function *) -Definition split_list_fwd - (T : Type) (l : List_t T) : result (T * (List_t T)) := +(** [no_nested_borrows::split_list]: forward function + Source: 'src/no_nested_borrows.rs', lines 250:0-250:48 *) +Definition split_list (T : Type) (l : List_t T) : result (T * (List_t T)) := match l with - | ListCons hd tl => Return (hd, tl) - | ListNil => Fail_ Failure + | List_Cons hd tl => Return (hd, tl) + | List_Nil => Fail_ Failure end . -(** [no_nested_borrows::test_split_list]: forward function *) -Definition test_split_list_fwd : result unit := - let l := ListNil in - p <- split_list_fwd i32 (ListCons 0%i32 l); +(** [no_nested_borrows::test_split_list]: forward function + Source: 'src/no_nested_borrows.rs', lines 258:0-258:24 *) +Definition test_split_list : result unit := + let l := List_Nil in + p <- split_list i32 (List_Cons 0%i32 l); let (hd, _) := p in if negb (hd s= 0%i32) then Fail_ Failure else Return tt . (** Unit test for [no_nested_borrows::test_split_list] *) -Check (test_split_list_fwd )%return. +Check (test_split_list )%return. -(** [no_nested_borrows::choose]: forward function *) -Definition choose_fwd (T : Type) (b : bool) (x : T) (y : T) : result T := +(** [no_nested_borrows::choose]: forward function + Source: 'src/no_nested_borrows.rs', lines 265:0-265:70 *) +Definition choose (T : Type) (b : bool) (x : T) (y : T) : result T := if b then Return x else Return y . -(** [no_nested_borrows::choose]: backward function 0 *) +(** [no_nested_borrows::choose]: backward function 0 + Source: 'src/no_nested_borrows.rs', lines 265:0-265:70 *) 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 *) -Definition choose_test_fwd : result unit := - z <- choose_fwd i32 true 0%i32 0%i32; +(** [no_nested_borrows::choose_test]: forward function + Source: 'src/no_nested_borrows.rs', lines 273:0-273:20 *) +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) then Fail_ Failure @@ -231,284 +336,312 @@ Definition choose_test_fwd : result unit := . (** Unit test for [no_nested_borrows::choose_test] *) -Check (choose_test_fwd )%return. +Check (choose_test )%return. -(** [no_nested_borrows::test_char]: forward function *) -Definition test_char_fwd : result char := - Return (char_of_byte Coq.Init.Byte.x61) -. +(** [no_nested_borrows::test_char]: forward function + Source: 'src/no_nested_borrows.rs', lines 285:0-285:26 *) +Definition test_char : result char := + Return (char_of_byte Coq.Init.Byte.x61). -(** [no_nested_borrows::Tree] *) +(** [no_nested_borrows::Tree] + Source: 'src/no_nested_borrows.rs', lines 290:0-290:16 *) Inductive Tree_t (T : Type) := -| TreeLeaf : T -> Tree_t T -| TreeNode : T -> Node_elem_t T -> Tree_t T -> Tree_t T +| Tree_Leaf : T -> Tree_t T +| Tree_Node : T -> NodeElem_t T -> Tree_t T -> Tree_t T -(** [no_nested_borrows::NodeElem] *) -with Node_elem_t (T : Type) := -| NodeElemCons : Tree_t T -> Node_elem_t T -> Node_elem_t T -| NodeElemNil : Node_elem_t T +(** [no_nested_borrows::NodeElem] + Source: 'src/no_nested_borrows.rs', lines 295:0-295:20 *) +with NodeElem_t (T : Type) := +| NodeElem_Cons : Tree_t T -> NodeElem_t T -> NodeElem_t T +| NodeElem_Nil : NodeElem_t T . -Arguments TreeLeaf {T} _. -Arguments TreeNode {T} _ _ _. +Arguments Tree_Leaf { _ }. +Arguments Tree_Node { _ }. -Arguments NodeElemCons {T} _ _. -Arguments NodeElemNil {T}. +Arguments NodeElem_Cons { _ }. +Arguments NodeElem_Nil { _ }. -(** [no_nested_borrows::list_length]: forward function *) -Fixpoint list_length_fwd (T : Type) (l : List_t T) : result u32 := +(** [no_nested_borrows::list_length]: forward function + Source: 'src/no_nested_borrows.rs', lines 330:0-330:48 *) +Fixpoint list_length (T : Type) (l : List_t T) : result u32 := match l with - | ListCons t l1 => i <- list_length_fwd T l1; u32_add 1%u32 i - | ListNil => Return 0%u32 + | List_Cons t 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 *) -Fixpoint list_nth_shared_fwd (T : Type) (l : List_t T) (i : u32) : result T := +(** [no_nested_borrows::list_nth_shared]: forward function + Source: 'src/no_nested_borrows.rs', lines 338:0-338:62 *) +Fixpoint list_nth_shared (T : Type) (l : List_t T) (i : u32) : result T := match l with - | ListCons x tl => + | List_Cons x tl => if i s= 0%u32 then Return x - else (i0 <- u32_sub i 1%u32; list_nth_shared_fwd T tl i0) - | ListNil => Fail_ Failure + else (i0 <- u32_sub i 1%u32; list_nth_shared T tl i0) + | List_Nil => Fail_ Failure end . -(** [no_nested_borrows::list_nth_mut]: forward function *) -Fixpoint list_nth_mut_fwd (T : Type) (l : List_t T) (i : u32) : result T := +(** [no_nested_borrows::list_nth_mut]: forward function + Source: 'src/no_nested_borrows.rs', lines 354:0-354:67 *) +Fixpoint list_nth_mut (T : Type) (l : List_t T) (i : u32) : result T := match l with - | ListCons x tl => + | List_Cons x tl => if i s= 0%u32 then Return x - else (i0 <- u32_sub i 1%u32; list_nth_mut_fwd T tl i0) - | ListNil => Fail_ Failure + 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 *) +(** [no_nested_borrows::list_nth_mut]: backward function 0 + Source: 'src/no_nested_borrows.rs', lines 354:0-354:67 *) Fixpoint list_nth_mut_back (T : Type) (l : List_t T) (i : u32) (ret : T) : result (List_t T) := match l with - | ListCons x tl => + | List_Cons x tl => if i s= 0%u32 - then Return (ListCons ret tl) + then Return (List_Cons ret tl) else ( i0 <- u32_sub i 1%u32; tl0 <- list_nth_mut_back T tl i0 ret; - Return (ListCons x tl0)) - | ListNil => Fail_ Failure + Return (List_Cons x tl0)) + | List_Nil => Fail_ Failure end . -(** [no_nested_borrows::list_rev_aux]: forward function *) -Fixpoint list_rev_aux_fwd +(** [no_nested_borrows::list_rev_aux]: forward function + Source: 'src/no_nested_borrows.rs', lines 370:0-370:63 *) +Fixpoint list_rev_aux (T : Type) (li : List_t T) (lo : List_t T) : result (List_t T) := match li with - | ListCons hd tl => list_rev_aux_fwd T tl (ListCons hd lo) - | ListNil => Return lo + | 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 ()) *) -Definition list_rev_fwd_back (T : Type) (l : List_t T) : result (List_t T) := - let li := mem_replace_fwd (List_t T) l ListNil in - list_rev_aux_fwd T li ListNil -. - -(** [no_nested_borrows::test_list_functions]: forward function *) -Definition test_list_functions_fwd : result unit := - let l := ListNil in - let l0 := ListCons 2%i32 l in - let l1 := ListCons 1%i32 l0 in - i <- list_length_fwd i32 (ListCons 0%i32 l1); + (there is a single backward function, and the forward function returns ()) + Source: 'src/no_nested_borrows.rs', lines 384:0-384:42 *) +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 + list_rev_aux T li List_Nil +. + +(** [no_nested_borrows::test_list_functions]: forward function + Source: 'src/no_nested_borrows.rs', lines 389:0-389:28 *) +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 + i <- list_length i32 (List_Cons 0%i32 l1); if negb (i s= 3%u32) then Fail_ Failure else ( - i0 <- list_nth_shared_fwd i32 (ListCons 0%i32 l1) 0%u32; + i0 <- list_nth_shared i32 (List_Cons 0%i32 l1) 0%u32; if negb (i0 s= 0%i32) then Fail_ Failure else ( - i1 <- list_nth_shared_fwd i32 (ListCons 0%i32 l1) 1%u32; + i1 <- list_nth_shared i32 (List_Cons 0%i32 l1) 1%u32; if negb (i1 s= 1%i32) then Fail_ Failure else ( - i2 <- list_nth_shared_fwd i32 (ListCons 0%i32 l1) 2%u32; + i2 <- list_nth_shared i32 (List_Cons 0%i32 l1) 2%u32; if negb (i2 s= 2%i32) then Fail_ Failure else ( - ls <- list_nth_mut_back i32 (ListCons 0%i32 l1) 1%u32 3%i32; - i3 <- list_nth_shared_fwd i32 ls 0%u32; + 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) then Fail_ Failure else ( - i4 <- list_nth_shared_fwd i32 ls 1%u32; + i4 <- list_nth_shared i32 ls 1%u32; if negb (i4 s= 3%i32) then Fail_ Failure else ( - i5 <- list_nth_shared_fwd i32 ls 2%u32; + i5 <- list_nth_shared i32 ls 2%u32; if negb (i5 s= 2%i32) then Fail_ Failure else Return tt)))))) . (** Unit test for [no_nested_borrows::test_list_functions] *) -Check (test_list_functions_fwd )%return. +Check (test_list_functions )%return. -(** [no_nested_borrows::id_mut_pair1]: forward function *) -Definition id_mut_pair1_fwd - (T1 T2 : Type) (x : T1) (y : T2) : result (T1 * T2) := +(** [no_nested_borrows::id_mut_pair1]: forward function + Source: 'src/no_nested_borrows.rs', lines 405:0-405:89 *) +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 *) +(** [no_nested_borrows::id_mut_pair1]: backward function 0 + Source: 'src/no_nested_borrows.rs', lines 405:0-405:89 *) 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 *) -Definition id_mut_pair2_fwd - (T1 T2 : Type) (p : (T1 * T2)) : result (T1 * T2) := +(** [no_nested_borrows::id_mut_pair2]: forward function + Source: 'src/no_nested_borrows.rs', lines 409:0-409:88 *) +Definition id_mut_pair2 (T1 T2 : Type) (p : (T1 * T2)) : result (T1 * T2) := let (t, t0) := p in Return (t, t0) . -(** [no_nested_borrows::id_mut_pair2]: backward function 0 *) +(** [no_nested_borrows::id_mut_pair2]: backward function 0 + Source: 'src/no_nested_borrows.rs', lines 409:0-409:88 *) 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) . -(** [no_nested_borrows::id_mut_pair3]: forward function *) -Definition id_mut_pair3_fwd - (T1 T2 : Type) (x : T1) (y : T2) : result (T1 * T2) := +(** [no_nested_borrows::id_mut_pair3]: forward function + Source: 'src/no_nested_borrows.rs', lines 413:0-413:93 *) +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 *) +(** [no_nested_borrows::id_mut_pair3]: backward function 0 + Source: 'src/no_nested_borrows.rs', lines 413:0-413:93 *) 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 *) +(** [no_nested_borrows::id_mut_pair3]: backward function 1 + Source: 'src/no_nested_borrows.rs', lines 413:0-413:93 *) 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 *) -Definition id_mut_pair4_fwd - (T1 T2 : Type) (p : (T1 * T2)) : result (T1 * T2) := +(** [no_nested_borrows::id_mut_pair4]: forward function + Source: 'src/no_nested_borrows.rs', lines 417:0-417:92 *) +Definition id_mut_pair4 (T1 T2 : Type) (p : (T1 * T2)) : result (T1 * T2) := let (t, t0) := p in Return (t, t0) . -(** [no_nested_borrows::id_mut_pair4]: backward function 0 *) +(** [no_nested_borrows::id_mut_pair4]: backward function 0 + Source: 'src/no_nested_borrows.rs', lines 417:0-417:92 *) 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 *) +(** [no_nested_borrows::id_mut_pair4]: backward function 1 + Source: 'src/no_nested_borrows.rs', lines 417:0-417:92 *) Definition id_mut_pair4_back'b (T1 T2 : Type) (p : (T1 * T2)) (ret : T2) : result T2 := Return ret . -(** [no_nested_borrows::StructWithTuple] *) -Record Struct_with_tuple_t (T1 T2 : Type) := -mkStruct_with_tuple_t { - Struct_with_tuple_p : (T1 * T2); +(** [no_nested_borrows::StructWithTuple] + Source: 'src/no_nested_borrows.rs', lines 424:0-424:34 *) +Record StructWithTuple_t (T1 T2 : Type) := +mkStructWithTuple_t { + structWithTuple_p : (T1 * T2); } . -Arguments mkStruct_with_tuple_t {T1} {T2} _. -Arguments Struct_with_tuple_p {T1} {T2}. +Arguments mkStructWithTuple_t { _ _ }. +Arguments structWithTuple_p { _ _ }. -(** [no_nested_borrows::new_tuple1]: forward function *) -Definition new_tuple1_fwd : result (Struct_with_tuple_t u32 u32) := - Return {| Struct_with_tuple_p := (1%u32, 2%u32) |} +(** [no_nested_borrows::new_tuple1]: forward function + Source: 'src/no_nested_borrows.rs', lines 428:0-428:48 *) +Definition new_tuple1 : result (StructWithTuple_t u32 u32) := + Return {| structWithTuple_p := (1%u32, 2%u32) |} . -(** [no_nested_borrows::new_tuple2]: forward function *) -Definition new_tuple2_fwd : result (Struct_with_tuple_t i16 i16) := - Return {| Struct_with_tuple_p := (1%i16, 2%i16) |} +(** [no_nested_borrows::new_tuple2]: forward function + Source: 'src/no_nested_borrows.rs', lines 432:0-432:48 *) +Definition new_tuple2 : result (StructWithTuple_t i16 i16) := + Return {| structWithTuple_p := (1%i16, 2%i16) |} . -(** [no_nested_borrows::new_tuple3]: forward function *) -Definition new_tuple3_fwd : result (Struct_with_tuple_t u64 i64) := - Return {| Struct_with_tuple_p := (1%u64, 2%i64) |} +(** [no_nested_borrows::new_tuple3]: forward function + Source: 'src/no_nested_borrows.rs', lines 436:0-436:48 *) +Definition new_tuple3 : result (StructWithTuple_t u64 i64) := + Return {| structWithTuple_p := (1%u64, 2%i64) |} . -(** [no_nested_borrows::StructWithPair] *) -Record Struct_with_pair_t (T1 T2 : Type) := -mkStruct_with_pair_t { - Struct_with_pair_p : Pair_t T1 T2; +(** [no_nested_borrows::StructWithPair] + Source: 'src/no_nested_borrows.rs', lines 441:0-441:33 *) +Record StructWithPair_t (T1 T2 : Type) := +mkStructWithPair_t { + structWithPair_p : Pair_t T1 T2; } . -Arguments mkStruct_with_pair_t {T1} {T2} _. -Arguments Struct_with_pair_p {T1} {T2}. +Arguments mkStructWithPair_t { _ _ }. +Arguments structWithPair_p { _ _ }. -(** [no_nested_borrows::new_pair1]: forward function *) -Definition new_pair1_fwd : result (Struct_with_pair_t u32 u32) := - Return {| Struct_with_pair_p := {| Pair_x := 1%u32; Pair_y := 2%u32 |} |} +(** [no_nested_borrows::new_pair1]: forward function + Source: 'src/no_nested_borrows.rs', lines 445:0-445:46 *) +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 *) -Definition test_constants_fwd : result unit := - swt <- new_tuple1_fwd; - let (i, _) := swt.(Struct_with_tuple_p) in +(** [no_nested_borrows::test_constants]: forward function + Source: 'src/no_nested_borrows.rs', lines 453:0-453:23 *) +Definition test_constants : result unit := + swt <- new_tuple1; + let (i, _) := swt.(structWithTuple_p) in if negb (i s= 1%u32) then Fail_ Failure else ( - swt0 <- new_tuple2_fwd; - let (i0, _) := swt0.(Struct_with_tuple_p) in + swt0 <- new_tuple2; + let (i0, _) := swt0.(structWithTuple_p) in if negb (i0 s= 1%i16) then Fail_ Failure else ( - swt1 <- new_tuple3_fwd; - let (i1, _) := swt1.(Struct_with_tuple_p) in + swt1 <- new_tuple3; + let (i1, _) := swt1.(structWithTuple_p) in if negb (i1 s= 1%u64) then Fail_ Failure else ( - swp <- new_pair1_fwd; - if negb (swp.(Struct_with_pair_p).(Pair_x) s= 1%u32) + swp <- new_pair1; + if negb (swp.(structWithPair_p).(pair_x) s= 1%u32) then Fail_ Failure else Return tt))) . (** Unit test for [no_nested_borrows::test_constants] *) -Check (test_constants_fwd )%return. +Check (test_constants )%return. -(** [no_nested_borrows::test_weird_borrows1]: forward function *) -Definition test_weird_borrows1_fwd : result unit := +(** [no_nested_borrows::test_weird_borrows1]: forward function + Source: 'src/no_nested_borrows.rs', lines 462:0-462:28 *) +Definition test_weird_borrows1 : result unit := Return tt. (** Unit test for [no_nested_borrows::test_weird_borrows1] *) -Check (test_weird_borrows1_fwd )%return. +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 ()) *) -Definition test_mem_replace_fwd_back (px : u32) : result u32 := - let y := mem_replace_fwd u32 px 1%u32 in + (there is a single backward function, and the forward function returns ()) + Source: 'src/no_nested_borrows.rs', lines 472:0-472:37 *) +Definition test_mem_replace (px : u32) : result u32 := + 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 *) -Definition test_shared_borrow_bool1_fwd (b : bool) : result u32 := +(** [no_nested_borrows::test_shared_borrow_bool1]: forward function + Source: 'src/no_nested_borrows.rs', lines 479:0-479:47 *) +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 *) -Definition test_shared_borrow_bool2_fwd : result u32 := +(** [no_nested_borrows::test_shared_borrow_bool2]: forward function + Source: 'src/no_nested_borrows.rs', lines 492:0-492:40 *) +Definition test_shared_borrow_bool2 : result u32 := Return 0%u32. -(** [no_nested_borrows::test_shared_borrow_enum1]: forward function *) -Definition test_shared_borrow_enum1_fwd (l : List_t u32) : result u32 := - match l with | ListCons i l0 => Return 1%u32 | ListNil => Return 0%u32 end +(** [no_nested_borrows::test_shared_borrow_enum1]: forward function + Source: 'src/no_nested_borrows.rs', lines 507:0-507:52 *) +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 . -(** [no_nested_borrows::test_shared_borrow_enum2]: forward function *) -Definition test_shared_borrow_enum2_fwd : result u32 := +(** [no_nested_borrows::test_shared_borrow_enum2]: forward function + Source: 'src/no_nested_borrows.rs', lines 519:0-519:40 *) +Definition test_shared_borrow_enum2 : result u32 := Return 0%u32. -End NoNestedBorrows . +End NoNestedBorrows. diff --git a/tests/coq/misc/Paper.v b/tests/coq/misc/Paper.v index 175a523d..6b110193 100644 --- a/tests/coq/misc/Paper.v +++ b/tests/coq/misc/Paper.v @@ -9,33 +9,37 @@ 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 ()) *) -Definition ref_incr_fwd_back (x : i32) : result i32 := + (there is a single backward function, and the forward function returns ()) + 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 *) -Definition test_incr_fwd : result unit := - x <- ref_incr_fwd_back 0%i32; - if negb (x s= 1%i32) then Fail_ Failure else Return tt +(** [paper::test_incr]: forward function + 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 . (** Unit test for [paper::test_incr] *) -Check (test_incr_fwd )%return. +Check (test_incr )%return. -(** [paper::choose]: forward function *) -Definition choose_fwd (T : Type) (b : bool) (x : T) (y : T) : result T := +(** [paper::choose]: forward function + 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 . -(** [paper::choose]: backward function 0 *) +(** [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 *) -Definition test_choose_fwd : result unit := - z <- choose_fwd i32 true 0%i32 0%i32; +(** [paper::test_choose]: forward function + 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) then Fail_ Failure @@ -48,74 +52,80 @@ Definition test_choose_fwd : result unit := . (** Unit test for [paper::test_choose] *) -Check (test_choose_fwd )%return. +Check (test_choose )%return. -(** [paper::List] *) +(** [paper::List] + Source: 'src/paper.rs', lines 35:0-35:16 *) Inductive List_t (T : Type) := -| ListCons : T -> List_t T -> List_t T -| ListNil : List_t T +| List_Cons : T -> List_t T -> List_t T +| List_Nil : List_t T . -Arguments ListCons {T} _ _. -Arguments ListNil {T}. +Arguments List_Cons { _ }. +Arguments List_Nil { _ }. -(** [paper::list_nth_mut]: forward function *) -Fixpoint list_nth_mut_fwd (T : Type) (l : List_t T) (i : u32) : result T := +(** [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 - | ListCons x tl => + | List_Cons x tl => if i s= 0%u32 then Return x - else (i0 <- u32_sub i 1%u32; list_nth_mut_fwd T tl i0) - | ListNil => Fail_ Failure + 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]: backward function 0 + 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) := match l with - | ListCons x tl => + | List_Cons x tl => if i s= 0%u32 - then Return (ListCons ret tl) + then Return (List_Cons ret tl) else ( i0 <- u32_sub i 1%u32; tl0 <- list_nth_mut_back T tl i0 ret; - Return (ListCons x tl0)) - | ListNil => Fail_ Failure + Return (List_Cons x tl0)) + | List_Nil => Fail_ Failure end . -(** [paper::sum]: forward function *) -Fixpoint sum_fwd (l : List_t i32) : result i32 := +(** [paper::sum]: forward function + Source: 'src/paper.rs', lines 57:0-57:32 *) +Fixpoint sum (l : List_t i32) : result i32 := match l with - | ListCons x tl => i <- sum_fwd tl; i32_add x i - | ListNil => Return 0%i32 + | List_Cons x tl => i <- sum tl; i32_add x i + | List_Nil => Return 0%i32 end . -(** [paper::test_nth]: forward function *) -Definition test_nth_fwd : result unit := - let l := ListNil in - let l0 := ListCons 3%i32 l in - let l1 := ListCons 2%i32 l0 in - x <- list_nth_mut_fwd i32 (ListCons 1%i32 l1) 2%u32; +(** [paper::test_nth]: forward function + 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 (ListCons 1%i32 l1) 2%u32 x0; - i <- sum_fwd l2; + l2 <- list_nth_mut_back i32 (List_Cons 1%i32 l1) 2%u32 x0; + i <- sum l2; if negb (i s= 7%i32) then Fail_ Failure else Return tt . (** Unit test for [paper::test_nth] *) -Check (test_nth_fwd )%return. +Check (test_nth )%return. -(** [paper::call_choose]: forward function *) -Definition call_choose_fwd (p : (u32 * u32)) : result u32 := +(** [paper::call_choose]: forward function + Source: 'src/paper.rs', lines 76:0-76:44 *) +Definition call_choose (p : (u32 * u32)) : result u32 := let (px, py) := p in - pz <- choose_fwd u32 true px py; + 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 . -End Paper . +End Paper. diff --git a/tests/coq/misc/PoloniusList.v b/tests/coq/misc/PoloniusList.v index 54021bdf..2371b1cc 100644 --- a/tests/coq/misc/PoloniusList.v +++ b/tests/coq/misc/PoloniusList.v @@ -8,34 +8,37 @@ Import ListNotations. Local Open Scope Primitives_scope. Module PoloniusList. -(** [polonius_list::List] *) +(** [polonius_list::List] + Source: 'src/polonius_list.rs', lines 3:0-3:16 *) Inductive List_t (T : Type) := -| ListCons : T -> List_t T -> List_t T -| ListNil : List_t T +| List_Cons : T -> List_t T -> List_t T +| List_Nil : List_t T . -Arguments ListCons {T} _ _. -Arguments ListNil {T}. +Arguments List_Cons { _ }. +Arguments List_Nil { _ }. -(** [polonius_list::get_list_at_x]: forward function *) -Fixpoint get_list_at_x_fwd (ls : List_t u32) (x : u32) : result (List_t u32) := +(** [polonius_list::get_list_at_x]: forward function + 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 - | ListCons hd tl => - if hd s= x then Return (ListCons hd tl) else get_list_at_x_fwd tl x - | ListNil => Return ListNil + | 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 *) +(** [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) := match ls with - | ListCons hd tl => + | List_Cons hd tl => if hd s= x then Return ret - else (tl0 <- get_list_at_x_back tl x ret; Return (ListCons hd tl0)) - | ListNil => Return ret + else (tl0 <- get_list_at_x_back tl x ret; Return (List_Cons hd tl0)) + | List_Nil => Return ret end . -End PoloniusList . +End PoloniusList. diff --git a/tests/coq/misc/Primitives.v b/tests/coq/misc/Primitives.v index 71a2d9c3..99ffe070 100644 --- a/tests/coq/misc/Primitives.v +++ b/tests/coq/misc/Primitives.v @@ -63,13 +63,15 @@ Check (if true then Return (1 + 2) else Fail_ Failure)%global = 3. (*** Misc *) - Definition string := Coq.Strings.String.string. Definition char := Coq.Strings.Ascii.ascii. Definition char_of_byte := Coq.Strings.Ascii.ascii_of_byte. -Definition mem_replace_fwd (a : Type) (x : a) (y : a) : a := x . -Definition mem_replace_back (a : Type) (x : a) (y : a) : a := y . +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 . + +Record mut_raw_ptr (T : Type) := { mut_raw_ptr_v : T }. +Record const_raw_ptr (T : Type) := { const_raw_ptr_v : T }. (*** Scalars *) @@ -253,6 +255,12 @@ Definition scalar_rem {ty} (x y: scalar ty) : result (scalar ty) := mk_scalar ty Definition scalar_neg {ty} (x: scalar ty) : result (scalar ty) := mk_scalar ty (-(to_Z x)). +Axiom scalar_xor : forall ty, scalar ty -> scalar ty -> scalar ty. (* TODO *) +Axiom scalar_or : forall ty, scalar ty -> scalar ty -> scalar ty. (* TODO *) +Axiom scalar_and : forall ty, scalar ty -> scalar ty -> scalar ty. (* TODO *) +Axiom scalar_shl : forall ty0 ty1, scalar ty0 -> scalar ty1 -> result (scalar ty0). (* TODO *) +Axiom scalar_shr : forall ty0 ty1, scalar ty0 -> scalar ty1 -> result (scalar ty0). (* TODO *) + (** Cast an integer from a [src_ty] to a [tgt_ty] *) (* TODO: check the semantics of casts in Rust *) Definition scalar_cast (src_ty tgt_ty : scalar_ty) (x : scalar src_ty) : result (scalar tgt_ty) := @@ -370,6 +378,76 @@ Definition u32_mul := @scalar_mul U32. Definition u64_mul := @scalar_mul U64. Definition u128_mul := @scalar_mul U128. +(** Xor *) +Definition u8_xor := @scalar_xor U8. +Definition u16_xor := @scalar_xor U16. +Definition u32_xor := @scalar_xor U32. +Definition u64_xor := @scalar_xor U64. +Definition u128_xor := @scalar_xor U128. +Definition usize_xor := @scalar_xor Usize. +Definition i8_xor := @scalar_xor I8. +Definition i16_xor := @scalar_xor I16. +Definition i32_xor := @scalar_xor I32. +Definition i64_xor := @scalar_xor I64. +Definition i128_xor := @scalar_xor I128. +Definition isize_xor := @scalar_xor Isize. + +(** Or *) +Definition u8_or := @scalar_or U8. +Definition u16_or := @scalar_or U16. +Definition u32_or := @scalar_or U32. +Definition u64_or := @scalar_or U64. +Definition u128_or := @scalar_or U128. +Definition usize_or := @scalar_or Usize. +Definition i8_or := @scalar_or I8. +Definition i16_or := @scalar_or I16. +Definition i32_or := @scalar_or I32. +Definition i64_or := @scalar_or I64. +Definition i128_or := @scalar_or I128. +Definition isize_or := @scalar_or Isize. + +(** And *) +Definition u8_and := @scalar_and U8. +Definition u16_and := @scalar_and U16. +Definition u32_and := @scalar_and U32. +Definition u64_and := @scalar_and U64. +Definition u128_and := @scalar_and U128. +Definition usize_and := @scalar_and Usize. +Definition i8_and := @scalar_and I8. +Definition i16_and := @scalar_and I16. +Definition i32_and := @scalar_and I32. +Definition i64_and := @scalar_and I64. +Definition i128_and := @scalar_and I128. +Definition isize_and := @scalar_and Isize. + +(** Shift left *) +Definition u8_shl {ty} := @scalar_shl U8 ty. +Definition u16_shl {ty} := @scalar_shl U16 ty. +Definition u32_shl {ty} := @scalar_shl U32 ty. +Definition u64_shl {ty} := @scalar_shl U64 ty. +Definition u128_shl {ty} := @scalar_shl U128 ty. +Definition usize_shl {ty} := @scalar_shl Usize ty. +Definition i8_shl {ty} := @scalar_shl I8 ty. +Definition i16_shl {ty} := @scalar_shl I16 ty. +Definition i32_shl {ty} := @scalar_shl I32 ty. +Definition i64_shl {ty} := @scalar_shl I64 ty. +Definition i128_shl {ty} := @scalar_shl I128 ty. +Definition isize_shl {ty} := @scalar_shl Isize ty. + +(** Shift right *) +Definition u8_shr {ty} := @scalar_shr U8 ty. +Definition u16_shr {ty} := @scalar_shr U16 ty. +Definition u32_shr {ty} := @scalar_shr U32 ty. +Definition u64_shr {ty} := @scalar_shr U64 ty. +Definition u128_shr {ty} := @scalar_shr U128 ty. +Definition usize_shr {ty} := @scalar_shr Usize ty. +Definition i8_shr {ty} := @scalar_shr I8 ty. +Definition i16_shr {ty} := @scalar_shr I16 ty. +Definition i32_shr {ty} := @scalar_shr I32 ty. +Definition i64_shr {ty} := @scalar_shr I64 ty. +Definition i128_shr {ty} := @scalar_shr I128 ty. +Definition isize_shr {ty} := @scalar_shr Isize ty. + (** Small utility *) Definition usize_to_nat (x: usize) : nat := Z.to_nat (to_Z x). @@ -394,12 +472,89 @@ Notation "x s< y" := (scalar_ltb x y) (at level 80) : Primitives_scope. Notation "x s>= y" := (scalar_geb x y) (at level 80) : Primitives_scope. Notation "x s> y" := (scalar_gtb x y) (at level 80) : Primitives_scope. -(*** Range *) -Record range (T : Type) := mk_range { - start: T; - end_: T; +(** Constants *) +Definition core_u8_max := u8_max %u32. +Definition core_u16_max := u16_max %u32. +Definition core_u32_max := u32_max %u32. +Definition core_u64_max := u64_max %u64. +Definition core_u128_max := u64_max %u128. +Axiom core_usize_max : usize. (** TODO *) +Definition core_i8_max := i8_max %i32. +Definition core_i16_max := i16_max %i32. +Definition core_i32_max := i32_max %i32. +Definition core_i64_max := i64_max %i64. +Definition core_i128_max := i64_max %i128. +Axiom core_isize_max : isize. (** TODO *) + +(*** core::ops *) + +(* Trait declaration: [core::ops::index::Index] *) +Record core_ops_index_Index (Self Idx : Type) := mk_core_ops_index_Index { + core_ops_index_Index_Output : Type; + core_ops_index_Index_index : Self -> Idx -> result core_ops_index_Index_Output; +}. +Arguments mk_core_ops_index_Index {_ _}. +Arguments core_ops_index_Index_Output {_ _}. +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; +}. +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 { + core_ops_deref_Deref_target : Type; + core_ops_deref_Deref_deref : Self -> result core_ops_deref_Deref_target; }. -Arguments mk_range {_}. +Arguments mk_core_ops_deref_Deref {_}. +Arguments core_ops_deref_Deref_target {_}. +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; +}. +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; + core_ops_range_Range_end_ : T; +}. +Arguments mk_core_ops_range_Range {_}. +Arguments core_ops_range_Range_start {_}. +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. + +(* Trait instance *) +Definition alloc_boxed_Box_coreopsDerefInst (Self : Type) : core_ops_deref_Deref Self := {| + core_ops_deref_Deref_target := Self; + core_ops_deref_Deref_deref := alloc_boxed_Box_deref Self; +|}. + +(* Trait instance *) +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; +|}. + (*** Arrays *) Definition array T (n : usize) := { l: list T | Z.of_nat (length l) = to_Z n}. @@ -419,51 +574,50 @@ Qed. (* TODO: finish the definitions *) Axiom mk_array : forall (T : Type) (n : usize) (l : list T), array T n. -Axiom array_index_shared : forall (T : Type) (n : usize) (x : array T n) (i : usize), result T. -Axiom array_index_mut_fwd : forall (T : Type) (n : usize) (x : array T n) (i : usize), result T. -Axiom array_index_mut_back : forall (T : Type) (n : usize) (x : array T n) (i : usize) (nx : T), result (array T n). +(* For initialization *) +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). (*** Slice *) Definition slice T := { l: list T | Z.of_nat (length l) <= usize_max}. Axiom slice_len : forall (T : Type) (s : slice T), usize. -Axiom slice_index_shared : forall (T : Type) (x : slice T) (i : usize), result T. -Axiom slice_index_mut_fwd : forall (T : Type) (x : slice T) (i : usize), result T. -Axiom slice_index_mut_back : forall (T : Type) (x : slice T) (i : usize) (nx : T), result (slice T). +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). (*** Subslices *) -Axiom array_to_slice_shared : forall (T : Type) (n : usize) (x : array T n), result (slice T). -Axiom array_to_slice_mut_fwd : forall (T : Type) (n : usize) (x : array T n), result (slice T). -Axiom array_to_slice_mut_back : forall (T : Type) (n : usize) (x : array T n) (s : slice T), result (array T n). +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). -Axiom array_subslice_shared: forall (T : Type) (n : usize) (x : array T n) (r : range usize), result (slice T). -Axiom array_subslice_mut_fwd: forall (T : Type) (n : usize) (x : array T n) (r : range usize), result (slice T). -Axiom array_subslice_mut_back: forall (T : Type) (n : usize) (x : array T n) (r : range usize) (ns : slice T), result (array T n). -Axiom slice_subslice_shared: forall (T : Type) (x : slice T) (r : range usize), result (slice T). -Axiom slice_subslice_mut_fwd: forall (T : Type) (x : slice T) (r : range usize), result (slice T). -Axiom slice_subslice_mut_back: forall (T : Type) (x : slice T) (r : range usize) (ns : slice T), result (slice T). +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). + +Axiom slice_subslice: forall (T : Type) (x : slice T) (r : core_ops_range_Range usize), result (slice T). +Axiom slice_update_subslice: forall (T : Type) (x : slice T) (r : core_ops_range_Range usize) (ns : slice T), result (slice T). (*** Vectors *) -Definition vec T := { l: list T | Z.of_nat (length l) <= usize_max }. +Definition alloc_vec_Vec T := { l: list T | Z.of_nat (length l) <= usize_max }. -Definition vec_to_list {T: Type} (v: vec T) : list T := proj1_sig v. +Definition alloc_vec_Vec_to_list {T: Type} (v: alloc_vec_Vec T) : list T := proj1_sig v. -Definition vec_length {T: Type} (v: vec T) : Z := Z.of_nat (length (vec_to_list v)). +Definition alloc_vec_Vec_length {T: Type} (v: alloc_vec_Vec T) : Z := Z.of_nat (length (alloc_vec_Vec_to_list v)). -Definition vec_new (T: Type) : vec T := (exist _ [] le_0_usize_max). +Definition alloc_vec_Vec_new (T: Type) : alloc_vec_Vec T := (exist _ [] le_0_usize_max). -Lemma vec_len_in_usize {T} (v: vec T) : usize_min <= vec_length v <= usize_max. +Lemma alloc_vec_Vec_len_in_usize {T} (v: alloc_vec_Vec T) : usize_min <= alloc_vec_Vec_length v <= usize_max. Proof. - unfold vec_length, usize_min. + unfold alloc_vec_Vec_length, usize_min. split. - lia. - apply (proj2_sig v). Qed. -Definition vec_len (T: Type) (v: vec T) : usize := - exist _ (vec_length v) (vec_len_in_usize v). +Definition alloc_vec_Vec_len (T: Type) (v: alloc_vec_Vec T) : usize := + exist _ (alloc_vec_Vec_length v) (alloc_vec_Vec_len_in_usize v). Fixpoint list_update {A} (l: list A) (n: nat) (a: A) : list A := @@ -474,50 +628,279 @@ Fixpoint list_update {A} (l: list A) (n: nat) (a: A) | S m => x :: (list_update t m a) end end. -Definition vec_bind {A B} (v: vec A) (f: list A -> result (list B)) : result (vec B) := - l <- f (vec_to_list v) ; +Definition alloc_vec_Vec_bind {A B} (v: alloc_vec_Vec A) (f: list A -> result (list B)) : result (alloc_vec_Vec B) := + l <- f (alloc_vec_Vec_to_list v) ; match sumbool_of_bool (scalar_le_max Usize (Z.of_nat (length l))) with | left H => Return (exist _ l (scalar_le_max_valid _ _ H)) | right _ => Fail_ Failure end. (* The **forward** function shouldn't be used *) -Definition vec_push_fwd (T: Type) (v: vec T) (x: T) : unit := tt. +Definition alloc_vec_Vec_push_fwd (T: Type) (v: alloc_vec_Vec T) (x: T) : unit := tt. -Definition vec_push_back (T: Type) (v: vec T) (x: T) : result (vec T) := - vec_bind v (fun l => Return (l ++ [x])). +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 vec_insert_fwd (T: Type) (v: vec T) (i: usize) (x: T) : result unit := - if to_Z i <? vec_length v then Return tt else Fail_ Failure. +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 vec_insert_back (T: Type) (v: vec T) (i: usize) (x: T) : result (vec T) := - vec_bind v (fun l => +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) then Return (list_update l (usize_to_nat i) x) else Fail_ Failure). -(* The **backward** function shouldn't be used *) -Definition vec_index_fwd (T: Type) (v: vec T) (i: usize) : result T := - match nth_error (vec_to_list v) (usize_to_nat i) with - | Some n => Return n - | None => Fail_ Failure - end. - -Definition vec_index_back (T: Type) (v: vec T) (i: usize) (x: T) : result unit := - if to_Z i <? vec_length v then Return tt else Fail_ Failure. - -(* The **backward** function shouldn't be used *) -Definition vec_index_mut_fwd (T: Type) (v: vec T) (i: usize) : result T := - match nth_error (vec_to_list v) (usize_to_nat i) with - | Some n => Return n - | None => Fail_ Failure +(* Helper *) +Axiom alloc_vec_Vec_index_usize : forall {T : Type} (v : alloc_vec_Vec T) (i : usize), result T. + +(* Helper *) +Axiom alloc_vec_Vec_update_usize : forall {T : Type} (v : alloc_vec_Vec T) (i : usize) (x : T), result (alloc_vec_Vec T). + +(* Trait declaration: [core::slice::index::private_slice_index::Sealed] *) +Definition core_slice_index_private_slice_index_Sealed (self : Type) := unit. + +(* Trait declaration: [core::slice::index::SliceIndex] *) +Record core_slice_index_SliceIndex (Self T : Type) := mk_core_slice_index_SliceIndex { + 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_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; +}. +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 + (T Idx : Type) (inst : core_slice_index_SliceIndex Idx (slice T)) + (s : slice T) (i : Idx) : result inst.(core_slice_index_SliceIndex_Output) := + x <- inst.(core_slice_index_SliceIndex_get) i s; + match x with + | None => Fail_ Failure + | Some x => Return x end. -Definition vec_index_mut_back (T: Type) (v: vec T) (i: usize) (x: T) : result (vec T) := - vec_bind v (fun l => - if to_Z i <? Z.of_nat (length l) - then Return (list_update l (usize_to_nat i) x) - else Fail_ Failure). +(* [core::slice::index::Range:::get]: forward function *) +Axiom core_slice_index_RangeUsize_get : forall (T : Type) (i : core_ops_range_Range usize) (s : slice T), result (option (slice T)). + +(* [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). + +(* [core::slice::index::Range::get_unchecked]: forward function *) +Definition core_slice_index_RangeUsize_get_unchecked + (T : Type) : + 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 *) +Definition core_slice_index_RangeUsize_get_unchecked_mut + (T : Type) : + 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 *) +Axiom core_slice_index_RangeUsize_index : + forall (T : Type), core_ops_range_Range usize -> slice T -> result (slice T). + +(* [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). + +(* [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). + +(* [core::array::[T; N]::index]: forward function *) +Axiom core_array_Array_index : + forall (T Idx : Type) (N : usize) (inst : core_ops_index_Index (slice T) Idx) + (a : array T N) (i : Idx), result inst.(core_ops_index_Index_Output). + +(* [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). + +(* Trait implementation: [core::slice::index::private_slice_index::Range] *) +Definition core_slice_index_private_slice_index_SealedRangeUsizeInst + : core_slice_index_private_slice_index_Sealed (core_ops_range_Range usize) := tt. + +(* Trait implementation: [core::slice::index::Range] *) +Definition core_slice_index_SliceIndexRangeUsizeSliceTInst (T : Type) : + core_slice_index_SliceIndex (core_ops_range_Range usize) (slice T) := {| + core_slice_index_SliceIndex_sealedInst := core_slice_index_private_slice_index_SealedRangeUsizeInst; + 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]] *) +Definition core_ops_index_IndexSliceTIInst (T Idx : Type) + (inst : core_slice_index_SliceIndex Idx (slice T)) : + core_ops_index_Index (slice T) Idx := {| + core_ops_index_Index_Output := inst.(core_slice_index_SliceIndex_Output); + core_ops_index_Index_index := core_slice_index_Slice_index T Idx inst; +|}. + +(* Trait implementation: [core::slice::index::[T]] *) +Definition core_ops_index_IndexMutSliceTIInst (T Idx : Type) + (inst : core_slice_index_SliceIndex Idx (slice T)) : + 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]] *) +Definition core_ops_index_IndexArrayInst (T Idx : Type) (N : usize) + (inst : core_ops_index_Index (slice T) Idx) : + core_ops_index_Index (array T N) Idx := {| + core_ops_index_Index_Output := inst.(core_ops_index_Index_Output); + core_ops_index_Index_index := core_array_Array_index T Idx N inst; +|}. + +(* Trait implementation: [core::array::[T; N]] *) +Definition core_ops_index_IndexMutArrayInst (T Idx : Type) (N : usize) + (inst : core_ops_index_IndexMut (slice T) Idx) : + 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). + +(* [core::slice::index::usize::get_unchecked]: forward function *) +Axiom core_slice_index_usize_get_unchecked : + forall (T : Type), usize -> const_raw_ptr (slice T) -> result (const_raw_ptr T). + +(* [core::slice::index::usize::get_unchecked_mut]: forward function *) +Axiom core_slice_index_usize_get_unchecked_mut : + forall (T : Type), usize -> mut_raw_ptr (slice T) -> result (mut_raw_ptr T). + +(* [core::slice::index::usize::index]: forward function *) +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). + +(* Trait implementation: [core::slice::index::private_slice_index::usize] *) +Definition core_slice_index_private_slice_index_SealedUsizeInst + : core_slice_index_private_slice_index_Sealed usize := tt. + +(* Trait implementation: [core::slice::index::usize] *) +Definition core_slice_index_SliceIndexUsizeSliceTInst (T : Type) : + core_slice_index_SliceIndex usize (slice T) := {| + core_slice_index_SliceIndex_sealedInst := core_slice_index_private_slice_index_SealedUsizeInst; + 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 *) +Axiom alloc_vec_Vec_index : 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]: 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). + +(* Trait implementation: [alloc::vec::Vec] *) +Definition alloc_vec_Vec_coreopsindexIndexInst (T Idx : Type) + (inst : core_slice_index_SliceIndex Idx (slice T)) : + core_ops_index_Index (alloc_vec_Vec T) Idx := {| + core_ops_index_Index_Output := inst.(core_slice_index_SliceIndex_Output); + core_ops_index_Index_index := alloc_vec_Vec_index T Idx inst; +|}. + +(* Trait implementation: [alloc::vec::Vec] *) +Definition alloc_vec_Vec_coreopsindexIndexMutInst (T Idx : Type) + (inst : core_slice_index_SliceIndex Idx (slice T)) : + 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 *) + +Axiom alloc_vec_Vec_index_eq : forall {a : Type} (v : alloc_vec_Vec a) (i : usize) (x : a), + alloc_vec_Vec_index a usize (core_slice_index_SliceIndexUsizeSliceTInst a) v i = + alloc_vec_Vec_index_usize v i. + +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. End Primitives. diff --git a/tests/coq/misc/_CoqProject b/tests/coq/misc/_CoqProject index db6c2742..869cdb4d 100644 --- a/tests/coq/misc/_CoqProject +++ b/tests/coq/misc/_CoqProject @@ -4,11 +4,15 @@ -arg all Loops.v +External_Types.v Primitives.v External_Funs.v +External_TypesExternal.v Constants.v PoloniusList.v -External_Types.v -NoNestedBorrows.v -External_Opaque.v Paper.v +NoNestedBorrows.v +External_FunsExternal.v +Bitwise.v +External_TypesExternal_Template.v +External_FunsExternal_Template.v diff --git a/tests/coq/traits/Makefile b/tests/coq/traits/Makefile new file mode 100644 index 00000000..1a5aee4a --- /dev/null +++ b/tests/coq/traits/Makefile @@ -0,0 +1,23 @@ +# This file was automatically generated - modify ../Makefile.template instead +# Makefile originally taken from coq-club + +%: Makefile.coq phony + +make -f Makefile.coq $@ + +all: Makefile.coq + +make -f Makefile.coq all + +clean: Makefile.coq + +make -f Makefile.coq clean + rm -f Makefile.coq + +Makefile.coq: _CoqProject Makefile + coq_makefile -f _CoqProject | sed 's/$$(COQCHK) $$(COQCHKFLAGS) $$(COQLIBS)/$$(COQCHK) $$(COQCHKFLAGS) $$(subst -Q,-R,$$(COQLIBS))/' > Makefile.coq + +_CoqProject: ; + +Makefile: ; + +phony: ; + +.PHONY: all clean phony diff --git a/tests/coq/traits/Primitives.v b/tests/coq/traits/Primitives.v new file mode 100644 index 00000000..99ffe070 --- /dev/null +++ b/tests/coq/traits/Primitives.v @@ -0,0 +1,906 @@ +Require Import Lia. +Require Coq.Strings.Ascii. +Require Coq.Strings.String. +Require Import Coq.Program.Equality. +Require Import Coq.ZArith.ZArith. +Require Import Coq.ZArith.Znat. +Require Import List. +Import ListNotations. + +Module Primitives. + + (* TODO: use more *) +Declare Scope Primitives_scope. + +(*** Result *) + +Inductive error := + | Failure + | OutOfFuel. + +Inductive result A := + | Return : A -> result A + | Fail_ : error -> result A. + +Arguments Return {_} a. +Arguments Fail_ {_}. + +Definition bind {A B} (m: result A) (f: A -> result B) : result B := + match m with + | Fail_ e => Fail_ e + | Return x => f x + end. + +Definition return_ {A: Type} (x: A) : result A := Return x. +Definition fail_ {A: Type} (e: error) : result A := Fail_ e. + +Notation "x <- c1 ; c2" := (bind c1 (fun x => c2)) + (at level 61, c1 at next level, right associativity). + +(** Monadic assert *) +Definition massert (b: bool) : result unit := + if b then Return tt else Fail_ Failure. + +(** Normalize and unwrap a successful result (used for globals) *) +Definition eval_result_refl {A} {x} (a: result A) (p: a = Return x) : A := + match a as r return (r = Return x -> A) with + | Return a' => fun _ => a' + | Fail_ e => fun p' => + False_rect _ (eq_ind (Fail_ e) + (fun e : result A => + match e with + | Return _ => False + | Fail_ e => True + end) + I (Return x) p') + end p. + +Notation "x %global" := (eval_result_refl x eq_refl) (at level 40). +Notation "x %return" := (eval_result_refl x eq_refl) (at level 40). + +(* Sanity check *) +Check (if true then Return (1 + 2) else Fail_ Failure)%global = 3. + +(*** Misc *) + +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 . + +Record mut_raw_ptr (T : Type) := { mut_raw_ptr_v : T }. +Record const_raw_ptr (T : Type) := { const_raw_ptr_v : T }. + +(*** Scalars *) + +Definition i8_min : Z := -128%Z. +Definition i8_max : Z := 127%Z. +Definition i16_min : Z := -32768%Z. +Definition i16_max : Z := 32767%Z. +Definition i32_min : Z := -2147483648%Z. +Definition i32_max : Z := 2147483647%Z. +Definition i64_min : Z := -9223372036854775808%Z. +Definition i64_max : Z := 9223372036854775807%Z. +Definition i128_min : Z := -170141183460469231731687303715884105728%Z. +Definition i128_max : Z := 170141183460469231731687303715884105727%Z. +Definition u8_min : Z := 0%Z. +Definition u8_max : Z := 255%Z. +Definition u16_min : Z := 0%Z. +Definition u16_max : Z := 65535%Z. +Definition u32_min : Z := 0%Z. +Definition u32_max : Z := 4294967295%Z. +Definition u64_min : Z := 0%Z. +Definition u64_max : Z := 18446744073709551615%Z. +Definition u128_min : Z := 0%Z. +Definition u128_max : Z := 340282366920938463463374607431768211455%Z. + +(** The bounds of [isize] and [usize] vary with the architecture. *) +Axiom isize_min : Z. +Axiom isize_max : Z. +Definition usize_min : Z := 0%Z. +Axiom usize_max : Z. + +Open Scope Z_scope. + +(** We provide those lemmas to reason about the bounds of [isize] and [usize] *) +Axiom isize_min_bound : isize_min <= i32_min. +Axiom isize_max_bound : i32_max <= isize_max. +Axiom usize_max_bound : u32_max <= usize_max. + +Inductive scalar_ty := + | Isize + | I8 + | I16 + | I32 + | I64 + | I128 + | Usize + | U8 + | U16 + | U32 + | U64 + | U128 +. + +Definition scalar_min (ty: scalar_ty) : Z := + 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 +end. + +Definition scalar_max (ty: scalar_ty) : Z := + 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 +end. + +(** We use the following conservative bounds to make sure we can compute bound + checks in most situations *) +Definition scalar_min_cons (ty: scalar_ty) : Z := + match ty with + | Isize => i32_min + | Usize => u32_min + | _ => scalar_min ty +end. + +Definition scalar_max_cons (ty: scalar_ty) : Z := + match ty with + | Isize => i32_max + | Usize => u32_max + | _ => scalar_max ty +end. + +Lemma scalar_min_cons_valid : forall ty, scalar_min ty <= scalar_min_cons ty . +Proof. + destruct ty; unfold scalar_min_cons, scalar_min; try lia. + - pose isize_min_bound; lia. + - apply Z.le_refl. +Qed. + +Lemma scalar_max_cons_valid : forall ty, scalar_max ty >= scalar_max_cons ty . +Proof. + destruct ty; unfold scalar_max_cons, scalar_max; try lia. + - pose isize_max_bound; lia. + - pose usize_max_bound. lia. +Qed. + +Definition scalar (ty: scalar_ty) : Type := + { x: Z | scalar_min ty <= x <= scalar_max ty }. + +Definition to_Z {ty} (x: scalar ty) : Z := proj1_sig x. + +(** Bounds checks: we start by using the conservative bounds, to make sure we + can compute in most situations, then we use the real bounds (for [isize] + and [usize]). *) +Definition scalar_ge_min (ty: scalar_ty) (x: Z) : bool := + Z.leb (scalar_min_cons ty) x || Z.leb (scalar_min ty) x. + +Definition scalar_le_max (ty: scalar_ty) (x: Z) : bool := + Z.leb x (scalar_max_cons ty) || Z.leb x (scalar_max ty). + +Lemma scalar_ge_min_valid (ty: scalar_ty) (x: Z) : + scalar_ge_min ty x = true -> scalar_min ty <= x . +Proof. + unfold scalar_ge_min. + pose (scalar_min_cons_valid ty). + lia. +Qed. + +Lemma scalar_le_max_valid (ty: scalar_ty) (x: Z) : + scalar_le_max ty x = true -> x <= scalar_max ty . +Proof. + unfold scalar_le_max. + pose (scalar_max_cons_valid ty). + lia. +Qed. + +Definition scalar_in_bounds (ty: scalar_ty) (x: Z) : bool := + scalar_ge_min ty x && scalar_le_max ty x . + +Lemma scalar_in_bounds_valid (ty: scalar_ty) (x: Z) : + scalar_in_bounds ty x = true -> scalar_min ty <= x <= scalar_max ty . +Proof. + unfold scalar_in_bounds. + intros H. + destruct (scalar_ge_min ty x) eqn:Hmin. + - destruct (scalar_le_max ty x) eqn:Hmax. + + pose (scalar_ge_min_valid ty x Hmin). + pose (scalar_le_max_valid ty x Hmax). + lia. + + inversion H. + - inversion H. +Qed. + +Import Sumbool. + +Definition mk_scalar (ty: scalar_ty) (x: Z) : result (scalar ty) := + match sumbool_of_bool (scalar_in_bounds ty x) with + | left H => Return (exist _ x (scalar_in_bounds_valid _ _ H)) + | right _ => Fail_ Failure + end. + +Definition scalar_add {ty} (x y: scalar ty) : result (scalar ty) := mk_scalar ty (to_Z x + to_Z y). + +Definition scalar_sub {ty} (x y: scalar ty) : result (scalar ty) := mk_scalar ty (to_Z x - to_Z y). + +Definition scalar_mul {ty} (x y: scalar ty) : result (scalar ty) := mk_scalar ty (to_Z x * to_Z y). + +Definition scalar_div {ty} (x y: scalar ty) : result (scalar ty) := + if to_Z y =? 0 then Fail_ Failure else + mk_scalar ty (to_Z x / to_Z y). + +Definition scalar_rem {ty} (x y: scalar ty) : result (scalar ty) := mk_scalar ty (Z.rem (to_Z x) (to_Z y)). + +Definition scalar_neg {ty} (x: scalar ty) : result (scalar ty) := mk_scalar ty (-(to_Z x)). + +Axiom scalar_xor : forall ty, scalar ty -> scalar ty -> scalar ty. (* TODO *) +Axiom scalar_or : forall ty, scalar ty -> scalar ty -> scalar ty. (* TODO *) +Axiom scalar_and : forall ty, scalar ty -> scalar ty -> scalar ty. (* TODO *) +Axiom scalar_shl : forall ty0 ty1, scalar ty0 -> scalar ty1 -> result (scalar ty0). (* TODO *) +Axiom scalar_shr : forall ty0 ty1, scalar ty0 -> scalar ty1 -> result (scalar ty0). (* TODO *) + +(** Cast an integer from a [src_ty] to a [tgt_ty] *) +(* TODO: check the semantics of casts in Rust *) +Definition scalar_cast (src_ty tgt_ty : scalar_ty) (x : scalar src_ty) : result (scalar tgt_ty) := + mk_scalar tgt_ty (to_Z x). + +(** Comparisons *) +Definition scalar_leb {ty : scalar_ty} (x : scalar ty) (y : scalar ty) : bool := + Z.leb (to_Z x) (to_Z y) . + +Definition scalar_ltb {ty : scalar_ty} (x : scalar ty) (y : scalar ty) : bool := + Z.ltb (to_Z x) (to_Z y) . + +Definition scalar_geb {ty : scalar_ty} (x : scalar ty) (y : scalar ty) : bool := + Z.geb (to_Z x) (to_Z y) . + +Definition scalar_gtb {ty : scalar_ty} (x : scalar ty) (y : scalar ty) : bool := + Z.gtb (to_Z x) (to_Z y) . + +Definition scalar_eqb {ty : scalar_ty} (x : scalar ty) (y : scalar ty) : bool := + Z.eqb (to_Z x) (to_Z y) . + +Definition scalar_neqb {ty : scalar_ty} (x : scalar ty) (y : scalar ty) : bool := + negb (Z.eqb (to_Z x) (to_Z y)) . + + +(** The scalar types *) +Definition isize := scalar Isize. +Definition i8 := scalar I8. +Definition i16 := scalar I16. +Definition i32 := scalar I32. +Definition i64 := scalar I64. +Definition i128 := scalar I128. +Definition usize := scalar Usize. +Definition u8 := scalar U8. +Definition u16 := scalar U16. +Definition u32 := scalar U32. +Definition u64 := scalar U64. +Definition u128 := scalar U128. + +(** Negaion *) +Definition isize_neg := @scalar_neg Isize. +Definition i8_neg := @scalar_neg I8. +Definition i16_neg := @scalar_neg I16. +Definition i32_neg := @scalar_neg I32. +Definition i64_neg := @scalar_neg I64. +Definition i128_neg := @scalar_neg I128. + +(** Division *) +Definition isize_div := @scalar_div Isize. +Definition i8_div := @scalar_div I8. +Definition i16_div := @scalar_div I16. +Definition i32_div := @scalar_div I32. +Definition i64_div := @scalar_div I64. +Definition i128_div := @scalar_div I128. +Definition usize_div := @scalar_div Usize. +Definition u8_div := @scalar_div U8. +Definition u16_div := @scalar_div U16. +Definition u32_div := @scalar_div U32. +Definition u64_div := @scalar_div U64. +Definition u128_div := @scalar_div U128. + +(** Remainder *) +Definition isize_rem := @scalar_rem Isize. +Definition i8_rem := @scalar_rem I8. +Definition i16_rem := @scalar_rem I16. +Definition i32_rem := @scalar_rem I32. +Definition i64_rem := @scalar_rem I64. +Definition i128_rem := @scalar_rem I128. +Definition usize_rem := @scalar_rem Usize. +Definition u8_rem := @scalar_rem U8. +Definition u16_rem := @scalar_rem U16. +Definition u32_rem := @scalar_rem U32. +Definition u64_rem := @scalar_rem U64. +Definition u128_rem := @scalar_rem U128. + +(** Addition *) +Definition isize_add := @scalar_add Isize. +Definition i8_add := @scalar_add I8. +Definition i16_add := @scalar_add I16. +Definition i32_add := @scalar_add I32. +Definition i64_add := @scalar_add I64. +Definition i128_add := @scalar_add I128. +Definition usize_add := @scalar_add Usize. +Definition u8_add := @scalar_add U8. +Definition u16_add := @scalar_add U16. +Definition u32_add := @scalar_add U32. +Definition u64_add := @scalar_add U64. +Definition u128_add := @scalar_add U128. + +(** Substraction *) +Definition isize_sub := @scalar_sub Isize. +Definition i8_sub := @scalar_sub I8. +Definition i16_sub := @scalar_sub I16. +Definition i32_sub := @scalar_sub I32. +Definition i64_sub := @scalar_sub I64. +Definition i128_sub := @scalar_sub I128. +Definition usize_sub := @scalar_sub Usize. +Definition u8_sub := @scalar_sub U8. +Definition u16_sub := @scalar_sub U16. +Definition u32_sub := @scalar_sub U32. +Definition u64_sub := @scalar_sub U64. +Definition u128_sub := @scalar_sub U128. + +(** Multiplication *) +Definition isize_mul := @scalar_mul Isize. +Definition i8_mul := @scalar_mul I8. +Definition i16_mul := @scalar_mul I16. +Definition i32_mul := @scalar_mul I32. +Definition i64_mul := @scalar_mul I64. +Definition i128_mul := @scalar_mul I128. +Definition usize_mul := @scalar_mul Usize. +Definition u8_mul := @scalar_mul U8. +Definition u16_mul := @scalar_mul U16. +Definition u32_mul := @scalar_mul U32. +Definition u64_mul := @scalar_mul U64. +Definition u128_mul := @scalar_mul U128. + +(** Xor *) +Definition u8_xor := @scalar_xor U8. +Definition u16_xor := @scalar_xor U16. +Definition u32_xor := @scalar_xor U32. +Definition u64_xor := @scalar_xor U64. +Definition u128_xor := @scalar_xor U128. +Definition usize_xor := @scalar_xor Usize. +Definition i8_xor := @scalar_xor I8. +Definition i16_xor := @scalar_xor I16. +Definition i32_xor := @scalar_xor I32. +Definition i64_xor := @scalar_xor I64. +Definition i128_xor := @scalar_xor I128. +Definition isize_xor := @scalar_xor Isize. + +(** Or *) +Definition u8_or := @scalar_or U8. +Definition u16_or := @scalar_or U16. +Definition u32_or := @scalar_or U32. +Definition u64_or := @scalar_or U64. +Definition u128_or := @scalar_or U128. +Definition usize_or := @scalar_or Usize. +Definition i8_or := @scalar_or I8. +Definition i16_or := @scalar_or I16. +Definition i32_or := @scalar_or I32. +Definition i64_or := @scalar_or I64. +Definition i128_or := @scalar_or I128. +Definition isize_or := @scalar_or Isize. + +(** And *) +Definition u8_and := @scalar_and U8. +Definition u16_and := @scalar_and U16. +Definition u32_and := @scalar_and U32. +Definition u64_and := @scalar_and U64. +Definition u128_and := @scalar_and U128. +Definition usize_and := @scalar_and Usize. +Definition i8_and := @scalar_and I8. +Definition i16_and := @scalar_and I16. +Definition i32_and := @scalar_and I32. +Definition i64_and := @scalar_and I64. +Definition i128_and := @scalar_and I128. +Definition isize_and := @scalar_and Isize. + +(** Shift left *) +Definition u8_shl {ty} := @scalar_shl U8 ty. +Definition u16_shl {ty} := @scalar_shl U16 ty. +Definition u32_shl {ty} := @scalar_shl U32 ty. +Definition u64_shl {ty} := @scalar_shl U64 ty. +Definition u128_shl {ty} := @scalar_shl U128 ty. +Definition usize_shl {ty} := @scalar_shl Usize ty. +Definition i8_shl {ty} := @scalar_shl I8 ty. +Definition i16_shl {ty} := @scalar_shl I16 ty. +Definition i32_shl {ty} := @scalar_shl I32 ty. +Definition i64_shl {ty} := @scalar_shl I64 ty. +Definition i128_shl {ty} := @scalar_shl I128 ty. +Definition isize_shl {ty} := @scalar_shl Isize ty. + +(** Shift right *) +Definition u8_shr {ty} := @scalar_shr U8 ty. +Definition u16_shr {ty} := @scalar_shr U16 ty. +Definition u32_shr {ty} := @scalar_shr U32 ty. +Definition u64_shr {ty} := @scalar_shr U64 ty. +Definition u128_shr {ty} := @scalar_shr U128 ty. +Definition usize_shr {ty} := @scalar_shr Usize ty. +Definition i8_shr {ty} := @scalar_shr I8 ty. +Definition i16_shr {ty} := @scalar_shr I16 ty. +Definition i32_shr {ty} := @scalar_shr I32 ty. +Definition i64_shr {ty} := @scalar_shr I64 ty. +Definition i128_shr {ty} := @scalar_shr I128 ty. +Definition isize_shr {ty} := @scalar_shr Isize ty. + +(** Small utility *) +Definition usize_to_nat (x: usize) : nat := Z.to_nat (to_Z x). + +(** Notations *) +Notation "x %isize" := ((mk_scalar Isize x)%return) (at level 9). +Notation "x %i8" := ((mk_scalar I8 x)%return) (at level 9). +Notation "x %i16" := ((mk_scalar I16 x)%return) (at level 9). +Notation "x %i32" := ((mk_scalar I32 x)%return) (at level 9). +Notation "x %i64" := ((mk_scalar I64 x)%return) (at level 9). +Notation "x %i128" := ((mk_scalar I128 x)%return) (at level 9). +Notation "x %usize" := ((mk_scalar Usize x)%return) (at level 9). +Notation "x %u8" := ((mk_scalar U8 x)%return) (at level 9). +Notation "x %u16" := ((mk_scalar U16 x)%return) (at level 9). +Notation "x %u32" := ((mk_scalar U32 x)%return) (at level 9). +Notation "x %u64" := ((mk_scalar U64 x)%return) (at level 9). +Notation "x %u128" := ((mk_scalar U128 x)%return) (at level 9). + +Notation "x s= y" := (scalar_eqb x y) (at level 80) : Primitives_scope. +Notation "x s<> y" := (scalar_neqb x y) (at level 80) : Primitives_scope. +Notation "x s<= y" := (scalar_leb x y) (at level 80) : Primitives_scope. +Notation "x s< y" := (scalar_ltb x y) (at level 80) : Primitives_scope. +Notation "x s>= y" := (scalar_geb x y) (at level 80) : Primitives_scope. +Notation "x s> y" := (scalar_gtb x y) (at level 80) : Primitives_scope. + +(** Constants *) +Definition core_u8_max := u8_max %u32. +Definition core_u16_max := u16_max %u32. +Definition core_u32_max := u32_max %u32. +Definition core_u64_max := u64_max %u64. +Definition core_u128_max := u64_max %u128. +Axiom core_usize_max : usize. (** TODO *) +Definition core_i8_max := i8_max %i32. +Definition core_i16_max := i16_max %i32. +Definition core_i32_max := i32_max %i32. +Definition core_i64_max := i64_max %i64. +Definition core_i128_max := i64_max %i128. +Axiom core_isize_max : isize. (** TODO *) + +(*** core::ops *) + +(* Trait declaration: [core::ops::index::Index] *) +Record core_ops_index_Index (Self Idx : Type) := mk_core_ops_index_Index { + core_ops_index_Index_Output : Type; + core_ops_index_Index_index : Self -> Idx -> result core_ops_index_Index_Output; +}. +Arguments mk_core_ops_index_Index {_ _}. +Arguments core_ops_index_Index_Output {_ _}. +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; +}. +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 { + core_ops_deref_Deref_target : Type; + core_ops_deref_Deref_deref : Self -> result core_ops_deref_Deref_target; +}. +Arguments mk_core_ops_deref_Deref {_}. +Arguments core_ops_deref_Deref_target {_}. +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; +}. +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; + core_ops_range_Range_end_ : T; +}. +Arguments mk_core_ops_range_Range {_}. +Arguments core_ops_range_Range_start {_}. +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. + +(* Trait instance *) +Definition alloc_boxed_Box_coreopsDerefInst (Self : Type) : core_ops_deref_Deref Self := {| + core_ops_deref_Deref_target := Self; + core_ops_deref_Deref_deref := alloc_boxed_Box_deref Self; +|}. + +(* Trait instance *) +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; +|}. + + +(*** Arrays *) +Definition array T (n : usize) := { l: list T | Z.of_nat (length l) = to_Z n}. + +Lemma le_0_usize_max : 0 <= usize_max. +Proof. + pose (H := usize_max_bound). + unfold u32_max in H. + lia. +Qed. + +Lemma eqb_imp_eq (x y : Z) : Z.eqb x y = true -> x = y. +Proof. + lia. +Qed. + +(* TODO: finish the definitions *) +Axiom mk_array : forall (T : Type) (n : usize) (l : list T), array T n. + +(* For initialization *) +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). + +(*** Slice *) +Definition slice T := { l: list T | Z.of_nat (length l) <= usize_max}. + +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). + +(*** 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). + +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). + +Axiom slice_subslice: forall (T : Type) (x : slice T) (r : core_ops_range_Range usize), result (slice T). +Axiom slice_update_subslice: forall (T : Type) (x : slice T) (r : core_ops_range_Range usize) (ns : slice T), result (slice T). + +(*** Vectors *) + +Definition alloc_vec_Vec T := { l: list T | Z.of_nat (length l) <= usize_max }. + +Definition alloc_vec_Vec_to_list {T: Type} (v: alloc_vec_Vec T) : list T := proj1_sig v. + +Definition alloc_vec_Vec_length {T: Type} (v: alloc_vec_Vec T) : Z := Z.of_nat (length (alloc_vec_Vec_to_list v)). + +Definition alloc_vec_Vec_new (T: Type) : alloc_vec_Vec T := (exist _ [] le_0_usize_max). + +Lemma alloc_vec_Vec_len_in_usize {T} (v: alloc_vec_Vec T) : usize_min <= alloc_vec_Vec_length v <= usize_max. +Proof. + unfold alloc_vec_Vec_length, usize_min. + split. + - lia. + - apply (proj2_sig v). +Qed. + +Definition alloc_vec_Vec_len (T: Type) (v: alloc_vec_Vec T) : usize := + exist _ (alloc_vec_Vec_length v) (alloc_vec_Vec_len_in_usize v). + +Fixpoint list_update {A} (l: list A) (n: nat) (a: A) + : list A := + match l with + | [] => [] + | x :: t => match n with + | 0%nat => a :: t + | S m => x :: (list_update t m a) +end end. + +Definition alloc_vec_Vec_bind {A B} (v: alloc_vec_Vec A) (f: list A -> result (list B)) : result (alloc_vec_Vec B) := + l <- f (alloc_vec_Vec_to_list v) ; + match sumbool_of_bool (scalar_le_max Usize (Z.of_nat (length l))) with + | left H => Return (exist _ l (scalar_le_max_valid _ _ H)) + | 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) + then Return (list_update l (usize_to_nat i) x) + else Fail_ Failure). + +(* Helper *) +Axiom alloc_vec_Vec_index_usize : forall {T : Type} (v : alloc_vec_Vec T) (i : usize), result T. + +(* Helper *) +Axiom alloc_vec_Vec_update_usize : forall {T : Type} (v : alloc_vec_Vec T) (i : usize) (x : T), result (alloc_vec_Vec T). + +(* Trait declaration: [core::slice::index::private_slice_index::Sealed] *) +Definition core_slice_index_private_slice_index_Sealed (self : Type) := unit. + +(* Trait declaration: [core::slice::index::SliceIndex] *) +Record core_slice_index_SliceIndex (Self T : Type) := mk_core_slice_index_SliceIndex { + 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_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; +}. +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 + (T Idx : Type) (inst : core_slice_index_SliceIndex Idx (slice T)) + (s : slice T) (i : Idx) : result inst.(core_slice_index_SliceIndex_Output) := + x <- inst.(core_slice_index_SliceIndex_get) i s; + match x with + | None => Fail_ Failure + | Some x => Return x + end. + +(* [core::slice::index::Range:::get]: forward function *) +Axiom core_slice_index_RangeUsize_get : forall (T : Type) (i : core_ops_range_Range usize) (s : slice T), result (option (slice T)). + +(* [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). + +(* [core::slice::index::Range::get_unchecked]: forward function *) +Definition core_slice_index_RangeUsize_get_unchecked + (T : Type) : + 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 *) +Definition core_slice_index_RangeUsize_get_unchecked_mut + (T : Type) : + 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 *) +Axiom core_slice_index_RangeUsize_index : + forall (T : Type), core_ops_range_Range usize -> slice T -> result (slice T). + +(* [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). + +(* [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). + +(* [core::array::[T; N]::index]: forward function *) +Axiom core_array_Array_index : + forall (T Idx : Type) (N : usize) (inst : core_ops_index_Index (slice T) Idx) + (a : array T N) (i : Idx), result inst.(core_ops_index_Index_Output). + +(* [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). + +(* Trait implementation: [core::slice::index::private_slice_index::Range] *) +Definition core_slice_index_private_slice_index_SealedRangeUsizeInst + : core_slice_index_private_slice_index_Sealed (core_ops_range_Range usize) := tt. + +(* Trait implementation: [core::slice::index::Range] *) +Definition core_slice_index_SliceIndexRangeUsizeSliceTInst (T : Type) : + core_slice_index_SliceIndex (core_ops_range_Range usize) (slice T) := {| + core_slice_index_SliceIndex_sealedInst := core_slice_index_private_slice_index_SealedRangeUsizeInst; + 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]] *) +Definition core_ops_index_IndexSliceTIInst (T Idx : Type) + (inst : core_slice_index_SliceIndex Idx (slice T)) : + core_ops_index_Index (slice T) Idx := {| + core_ops_index_Index_Output := inst.(core_slice_index_SliceIndex_Output); + core_ops_index_Index_index := core_slice_index_Slice_index T Idx inst; +|}. + +(* Trait implementation: [core::slice::index::[T]] *) +Definition core_ops_index_IndexMutSliceTIInst (T Idx : Type) + (inst : core_slice_index_SliceIndex Idx (slice T)) : + 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]] *) +Definition core_ops_index_IndexArrayInst (T Idx : Type) (N : usize) + (inst : core_ops_index_Index (slice T) Idx) : + core_ops_index_Index (array T N) Idx := {| + core_ops_index_Index_Output := inst.(core_ops_index_Index_Output); + core_ops_index_Index_index := core_array_Array_index T Idx N inst; +|}. + +(* Trait implementation: [core::array::[T; N]] *) +Definition core_ops_index_IndexMutArrayInst (T Idx : Type) (N : usize) + (inst : core_ops_index_IndexMut (slice T) Idx) : + 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). + +(* [core::slice::index::usize::get_unchecked]: forward function *) +Axiom core_slice_index_usize_get_unchecked : + forall (T : Type), usize -> const_raw_ptr (slice T) -> result (const_raw_ptr T). + +(* [core::slice::index::usize::get_unchecked_mut]: forward function *) +Axiom core_slice_index_usize_get_unchecked_mut : + forall (T : Type), usize -> mut_raw_ptr (slice T) -> result (mut_raw_ptr T). + +(* [core::slice::index::usize::index]: forward function *) +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). + +(* Trait implementation: [core::slice::index::private_slice_index::usize] *) +Definition core_slice_index_private_slice_index_SealedUsizeInst + : core_slice_index_private_slice_index_Sealed usize := tt. + +(* Trait implementation: [core::slice::index::usize] *) +Definition core_slice_index_SliceIndexUsizeSliceTInst (T : Type) : + core_slice_index_SliceIndex usize (slice T) := {| + core_slice_index_SliceIndex_sealedInst := core_slice_index_private_slice_index_SealedUsizeInst; + 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 *) +Axiom alloc_vec_Vec_index : 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]: 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). + +(* Trait implementation: [alloc::vec::Vec] *) +Definition alloc_vec_Vec_coreopsindexIndexInst (T Idx : Type) + (inst : core_slice_index_SliceIndex Idx (slice T)) : + core_ops_index_Index (alloc_vec_Vec T) Idx := {| + core_ops_index_Index_Output := inst.(core_slice_index_SliceIndex_Output); + core_ops_index_Index_index := alloc_vec_Vec_index T Idx inst; +|}. + +(* Trait implementation: [alloc::vec::Vec] *) +Definition alloc_vec_Vec_coreopsindexIndexMutInst (T Idx : Type) + (inst : core_slice_index_SliceIndex Idx (slice T)) : + 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 *) + +Axiom alloc_vec_Vec_index_eq : forall {a : Type} (v : alloc_vec_Vec a) (i : usize) (x : a), + alloc_vec_Vec_index a usize (core_slice_index_SliceIndexUsizeSliceTInst a) v i = + alloc_vec_Vec_index_usize v i. + +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. + +End Primitives. diff --git a/tests/coq/traits/Traits.v b/tests/coq/traits/Traits.v new file mode 100644 index 00000000..549a7116 --- /dev/null +++ b/tests/coq/traits/Traits.v @@ -0,0 +1,609 @@ +(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *) +(** [traits] *) +Require Import Primitives. +Import Primitives. +Require Import Coq.ZArith.ZArith. +Require Import List. +Import ListNotations. +Local Open Scope Primitives_scope. +Module Traits. + +(** Trait declaration: [traits::BoolTrait] + Source: 'src/traits.rs', lines 1:0-1:19 *) +Record BoolTrait_t (Self : Type) := mkBoolTrait_t { + BoolTrait_t_get_bool : Self -> result bool; +}. + +Arguments mkBoolTrait_t { _ }. +Arguments BoolTrait_t_get_bool { _ }. + +(** [traits::{bool}::get_bool]: forward function + Source: 'src/traits.rs', lines 12:4-12:30 *) +Definition bool_get_bool (self : bool) : result bool := + Return self. + +(** Trait implementation: [traits::{bool}] + Source: 'src/traits.rs', lines 11:0-11:23 *) +Definition traits_BoolTraitBoolInst : BoolTrait_t bool := {| + BoolTrait_t_get_bool := bool_get_bool; +|}. + +(** [traits::BoolTrait::ret_true]: forward function + 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 + 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 + 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 +. + +(** Trait implementation: [traits::{core::option::Option<T>#1}] + Source: 'src/traits.rs', lines 22:0-22:31 *) +Definition traits_BoolTraitcoreoptionOptionTInst (T : Type) : BoolTrait_t + (option T) := {| + BoolTrait_t_get_bool := option_get_bool T; +|}. + +(** [traits::test_bool_trait_option]: forward function + 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; + 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 *) +Definition test_bool_trait + (T : Type) (boolTraitTInst : BoolTrait_t T) (x : T) : result bool := + boolTraitTInst.(BoolTrait_t_get_bool) x +. + +(** Trait declaration: [traits::ToU64] + Source: 'src/traits.rs', lines 39:0-39:15 *) +Record ToU64_t (Self : Type) := mkToU64_t { + ToU64_t_to_u64 : Self -> result u64; +}. + +Arguments mkToU64_t { _ }. +Arguments ToU64_t_to_u64 { _ }. + +(** [traits::{u64#2}::to_u64]: forward function + Source: 'src/traits.rs', lines 44:4-44:26 *) +Definition u64_to_u64 (self : u64) : result u64 := + Return self. + +(** Trait implementation: [traits::{u64#2}] + Source: 'src/traits.rs', lines 43:0-43:18 *) +Definition traits_ToU64U64Inst : ToU64_t u64 := {| + ToU64_t_to_u64 := u64_to_u64; +|}. + +(** [traits::{(A, A)#3}::to_u64]: forward function + 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 + i <- toU64AInst.(ToU64_t_to_u64) t; + i0 <- toU64AInst.(ToU64_t_to_u64) t0; + u64_add i i0 +. + +(** Trait implementation: [traits::{(A, A)#3}] + Source: 'src/traits.rs', lines 49:0-49:31 *) +Definition traits_ToU64TupleAAInst (A : Type) (toU64AInst : ToU64_t A) : + ToU64_t (A * A) := {| + ToU64_t_to_u64 := pair_to_u64 A toU64AInst; +|}. + +(** [traits::f]: forward function + 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 + 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 + Source: 'src/traits.rs', lines 66:0-66:24 *) +Definition h0 (x : u64) : result u64 := + u64_to_u64 x. + +(** [traits::Wrapper] + Source: 'src/traits.rs', lines 70:0-70:21 *) +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 + 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 := + toU64TInst.(ToU64_t_to_u64) self.(wrapper_x) +. + +(** Trait implementation: [traits::{traits::Wrapper<T>#4}] + Source: 'src/traits.rs', lines 74:0-74:35 *) +Definition traits_ToU64traitsWrapperTInst (T : Type) (toU64TInst : ToU64_t T) : + ToU64_t (Wrapper_t T) := {| + ToU64_t_to_u64 := wrapper_to_u64 T toU64TInst; +|}. + +(** [traits::h1]: forward function + 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 + Source: 'src/traits.rs', lines 84:0-84:41 *) +Definition h2 + (T : Type) (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 *) +Record ToType_t (Self T : Type) := mkToType_t { + ToType_t_to_type : Self -> result T; +}. + +Arguments mkToType_t { _ _ }. +Arguments ToType_t_to_type { _ _ }. + +(** [traits::{u64#5}::to_type]: forward function + Source: 'src/traits.rs', lines 93:4-93:28 *) +Definition u64_to_type (self : u64) : result bool := + Return (self s> 0%u64). + +(** Trait implementation: [traits::{u64#5}] + Source: 'src/traits.rs', lines 92:0-92:25 *) +Definition traits_ToTypeU64BoolInst : ToType_t u64 bool := {| + ToType_t_to_type := u64_to_type; +|}. + +(** Trait declaration: [traits::OfType] + Source: 'src/traits.rs', lines 98:0-98:16 *) +Record OfType_t (Self : Type) := mkOfType_t { + OfType_t_of_type : forall (T : Type) (toTypeTSelfInst : ToType_t T Self), T + -> result Self; +}. + +Arguments mkOfType_t { _ }. +Arguments OfType_t_of_type { _ }. + +(** [traits::h3]: forward function + Source: 'src/traits.rs', lines 104:0-104:50 *) +Definition h3 + (T1 T2 : Type) (ofTypeT1Inst : OfType_t T1) (toTypeT2T1Inst : ToType_t T2 T1) + (y : T2) : + result T1 + := + ofTypeT1Inst.(OfType_t_of_type) T2 toTypeT2T1Inst y +. + +(** Trait declaration: [traits::OfTypeBis] + Source: 'src/traits.rs', lines 109:0-109:36 *) +Record OfTypeBis_t (Self T : Type) := mkOfTypeBis_t { + OfTypeBis_tOfTypeBis_t_ToTypeTSelfInst : ToType_t T Self; + OfTypeBis_t_of_type : T -> result Self; +}. + +Arguments mkOfTypeBis_t { _ _ }. +Arguments OfTypeBis_tOfTypeBis_t_ToTypeTSelfInst { _ _ }. +Arguments OfTypeBis_t_of_type { _ _ }. + +(** [traits::h4]: forward function + Source: 'src/traits.rs', lines 118:0-118:57 *) +Definition h4 + (T1 T2 : Type) (ofTypeBisT1T2Inst : OfTypeBis_t T1 T2) (toTypeT2T1Inst : + ToType_t T2 T1) (y : T2) : + result T1 + := + ofTypeBisT1T2Inst.(OfTypeBis_t_of_type) y +. + +(** [traits::TestType] + Source: 'src/traits.rs', lines 122:0-122:22 *) +Record TestType_t (T : Type) := mkTestType_t { testType_0 : T; }. + +Arguments mkTestType_t { _ }. +Arguments testType_0 { _ }. + +(** [traits::{traits::TestType<T>#6}::test::TestType1] + Source: 'src/traits.rs', lines 127:8-127:24 *) +Record TestType_test_TestType1_t := +mkTestType_test_TestType1_t { + testType_test_TestType1_0 : u64; +} +. + +(** Trait declaration: [traits::{traits::TestType<T>#6}::test::TestTrait] + Source: 'src/traits.rs', lines 128:8-128:23 *) +Record TestType_test_TestTrait_t (Self : Type) := mkTestType_test_TestTrait_t { + TestType_test_TestTrait_t_test : Self -> result bool; +}. + +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 + Source: 'src/traits.rs', lines 139:12-139:34 *) +Definition testType_test_TestType1_test + (self : TestType_test_TestType1_t) : result bool := + Return (self.(testType_test_TestType1_0) s> 1%u64) +. + +(** Trait implementation: [traits::{traits::TestType<T>#6}::test::{traits::{traits::TestType<T>#6}::test::TestType1}] + Source: 'src/traits.rs', lines 138:8-138:36 *) +Definition traits_TestType_test_TestTraittraitstraitsTestTypeTtestTestType1Inst + : TestType_test_TestTrait_t TestType_test_TestType1_t := {| + TestType_test_TestTrait_t_test := testType_test_TestType1_test; +|}. + +(** [traits::{traits::TestType<T>#6}::test]: forward function + 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 {| testType_test_TestType1_0 := 0%u64 |} + else Return false +. + +(** [traits::BoolWrapper] + Source: 'src/traits.rs', lines 150:0-150:22 *) +Record BoolWrapper_t := mkBoolWrapper_t { boolWrapper_0 : bool; }. + +(** [traits::{traits::BoolWrapper#7}::to_type]: forward function + Source: 'src/traits.rs', lines 156:4-156:25 *) +Definition boolWrapper_to_type + (T : Type) (toTypeBoolTInst : ToType_t bool T) (self : BoolWrapper_t) : + result T + := + toTypeBoolTInst.(ToType_t_to_type) self.(boolWrapper_0) +. + +(** Trait implementation: [traits::{traits::BoolWrapper#7}] + Source: 'src/traits.rs', lines 152:0-152:33 *) +Definition traits_ToTypetraitsBoolWrapperTInst (T : Type) (toTypeBoolTInst : + ToType_t bool T) : ToType_t BoolWrapper_t T := {| + ToType_t_to_type := boolWrapper_to_type T toTypeBoolTInst; +|}. + +(** [traits::WithConstTy::LEN2] + Source: 'src/traits.rs', lines 164:4-164:21 *) +Definition with_const_ty_len2_body : result usize := Return 32%usize. +Definition with_const_ty_len2_c : usize := with_const_ty_len2_body%global. + +(** Trait declaration: [traits::WithConstTy] + Source: 'src/traits.rs', lines 161:0-161:39 *) +Record WithConstTy_t (Self : Type) (LEN : usize) := mkWithConstTy_t { + WithConstTy_tWithConstTy_t_LEN1 : usize; + WithConstTy_tWithConstTy_t_LEN2 : usize; + WithConstTy_tWithConstTy_t_V : Type; + WithConstTy_tWithConstTy_t_W : Type; + WithConstTy_tWithConstTy_t_W_clause_0 : ToU64_t WithConstTy_tWithConstTy_t_W; + WithConstTy_t_f : WithConstTy_tWithConstTy_t_W -> array u8 LEN -> result + WithConstTy_tWithConstTy_t_W; +}. + +Arguments mkWithConstTy_t { _ _ }. +Arguments WithConstTy_tWithConstTy_t_LEN1 { _ _ }. +Arguments WithConstTy_tWithConstTy_t_LEN2 { _ _ }. +Arguments WithConstTy_tWithConstTy_t_V { _ _ }. +Arguments WithConstTy_tWithConstTy_t_W { _ _ }. +Arguments WithConstTy_tWithConstTy_t_W_clause_0 { _ _ }. +Arguments WithConstTy_t_f { _ _ }. + +(** [traits::{bool#8}::LEN1] + Source: 'src/traits.rs', lines 175:4-175:21 *) +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 ()) + Source: 'src/traits.rs', lines 180:4-180:39 *) +Definition bool_f (i : u64) (a : array u8 32%usize) : result u64 := + Return i. + +(** Trait implementation: [traits::{bool#8}] + Source: 'src/traits.rs', lines 174:0-174:29 *) +Definition traits_WithConstTyBool32Inst : WithConstTy_t bool 32%usize := {| + WithConstTy_tWithConstTy_t_LEN1 := bool_len1_c; + WithConstTy_tWithConstTy_t_LEN2 := with_const_ty_len2_c; + WithConstTy_tWithConstTy_t_V := u8; + WithConstTy_tWithConstTy_t_W := u64; + WithConstTy_tWithConstTy_t_W_clause_0 := traits_ToU64U64Inst; + WithConstTy_t_f := bool_f; +|}. + +(** [traits::use_with_const_ty1]: forward function + 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 +. + +(** [traits::use_with_const_ty2]: forward function + Source: 'src/traits.rs', lines 187:0-187:73 *) +Definition use_with_const_ty2 + (H : Type) (LEN : usize) (withConstTyHLENInst : WithConstTy_t H LEN) + (w : withConstTyHLENInst.(WithConstTy_tWithConstTy_t_W)) : + result unit + := + Return tt +. + +(** [traits::use_with_const_ty3]: forward function + Source: 'src/traits.rs', lines 189:0-189:80 *) +Definition use_with_const_ty3 + (H : Type) (LEN : usize) (withConstTyHLENInst : WithConstTy_t H LEN) + (x : withConstTyHLENInst.(WithConstTy_tWithConstTy_t_W)) : + result u64 + := + withConstTyHLENInst.(WithConstTy_tWithConstTy_t_W_clause_0).(ToU64_t_to_u64) + x +. + +(** [traits::test_where1]: forward function + 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 + Source: 'src/traits.rs', lines 194:0-194:57 *) +Definition test_where2 + (T : Type) (withConstTyT32Inst : WithConstTy_t T 32%usize) (_x : u32) : + result unit + := + Return tt +. + +(** Trait declaration: [traits::ParentTrait0] + Source: 'src/traits.rs', lines 200:0-200:22 *) +Record ParentTrait0_t (Self : Type) := mkParentTrait0_t { + ParentTrait0_tParentTrait0_t_W : Type; + ParentTrait0_t_get_name : Self -> result string; + ParentTrait0_t_get_w : Self -> result ParentTrait0_tParentTrait0_t_W; +}. + +Arguments mkParentTrait0_t { _ }. +Arguments ParentTrait0_tParentTrait0_t_W { _ }. +Arguments ParentTrait0_t_get_name { _ }. +Arguments ParentTrait0_t_get_w { _ }. + +(** Trait declaration: [traits::ParentTrait1] + Source: 'src/traits.rs', lines 205:0-205:22 *) +Record ParentTrait1_t (Self : Type) := mkParentTrait1_t{}. + +Arguments mkParentTrait1_t { _ }. + +(** Trait declaration: [traits::ChildTrait] + Source: 'src/traits.rs', lines 206:0-206:49 *) +Record ChildTrait_t (Self : Type) := mkChildTrait_t { + ChildTrait_tChildTrait_t_ParentTrait0SelfInst : ParentTrait0_t Self; + ChildTrait_tChildTrait_t_ParentTrait1SelfInst : ParentTrait1_t Self; +}. + +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 *) +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 *) +Definition test_child_trait2 + (T : Type) (childTraitTInst : ChildTrait_t T) (x : T) : + result + childTraitTInst.(ChildTrait_tChildTrait_t_ParentTrait0SelfInst).(ParentTrait0_tParentTrait0_t_W) + := + childTraitTInst.(ChildTrait_tChildTrait_t_ParentTrait0SelfInst).(ParentTrait0_t_get_w) + x +. + +(** [traits::order1]: forward function + Source: 'src/traits.rs', lines 219:0-219:59 *) +Definition order1 + (T U : Type) (parentTrait0TInst : ParentTrait0_t T) (parentTrait0UInst : + ParentTrait0_t U) : + result unit + := + Return tt +. + +(** Trait declaration: [traits::ChildTrait1] + Source: 'src/traits.rs', lines 222:0-222:35 *) +Record ChildTrait1_t (Self : Type) := mkChildTrait1_t { + ChildTrait1_tChildTrait1_t_ParentTrait1SelfInst : ParentTrait1_t Self; +}. + +Arguments mkChildTrait1_t { _ }. +Arguments ChildTrait1_tChildTrait1_t_ParentTrait1SelfInst { _ }. + +(** Trait implementation: [traits::{usize#9}] + Source: 'src/traits.rs', lines 224:0-224:27 *) +Definition traits_ParentTrait1UsizeInst : ParentTrait1_t usize + := mkParentTrait1_t. + +(** Trait implementation: [traits::{usize#10}] + Source: 'src/traits.rs', lines 225:0-225:26 *) +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 *) +Record Iterator_t (Self : Type) := mkIterator_t { + Iterator_tIterator_t_Item : Type; +}. + +Arguments mkIterator_t { _ }. +Arguments Iterator_tIterator_t_Item { _ }. + +(** Trait declaration: [traits::IntoIterator] + Source: 'src/traits.rs', lines 233:0-233:22 *) +Record IntoIterator_t (Self : Type) := mkIntoIterator_t { + IntoIterator_tIntoIterator_t_Item : Type; + IntoIterator_tIntoIterator_t_IntoIter : Type; + IntoIterator_tIntoIterator_t_IntoIter_clause_0 : Iterator_t + IntoIterator_tIntoIterator_t_IntoIter; + IntoIterator_t_into_iter : Self -> result + IntoIterator_tIntoIterator_t_IntoIter; +}. + +Arguments mkIntoIterator_t { _ }. +Arguments IntoIterator_tIntoIterator_t_Item { _ }. +Arguments IntoIterator_tIntoIterator_t_IntoIter { _ }. +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 *) +Record FromResidual_t (Self T : Type) := mkFromResidual_t{}. + +Arguments mkFromResidual_t { _ _ }. + +(** Trait declaration: [traits::Try] + Source: 'src/traits.rs', lines 246:0-246:48 *) +Record Try_t (Self : Type) := mkTry_t { + Try_tTry_t_Residual : Type; + Try_tTry_t_FromResidualSelftraitsTrySelfResidualInst : FromResidual_t Self + Try_tTry_t_Residual; +}. + +Arguments mkTry_t { _ }. +Arguments Try_tTry_t_Residual { _ }. +Arguments Try_tTry_t_FromResidualSelftraitsTrySelfResidualInst { _ }. + +(** Trait declaration: [traits::WithTarget] + Source: 'src/traits.rs', lines 252:0-252:20 *) +Record WithTarget_t (Self : Type) := mkWithTarget_t { + WithTarget_tWithTarget_t_Target : Type; +}. + +Arguments mkWithTarget_t { _ }. +Arguments WithTarget_tWithTarget_t_Target { _ }. + +(** Trait declaration: [traits::ParentTrait2] + Source: 'src/traits.rs', lines 256:0-256:22 *) +Record ParentTrait2_t (Self : Type) := mkParentTrait2_t { + ParentTrait2_tParentTrait2_t_U : Type; + ParentTrait2_tParentTrait2_t_U_clause_0 : WithTarget_t + ParentTrait2_tParentTrait2_t_U; +}. + +Arguments mkParentTrait2_t { _ }. +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 *) +Record ChildTrait2_t (Self : Type) := mkChildTrait2_t { + ChildTrait2_tChildTrait2_t_ParentTrait2SelfInst : ParentTrait2_t Self; + ChildTrait2_t_convert : + (ChildTrait2_tChildTrait2_t_ParentTrait2SelfInst).(ParentTrait2_tParentTrait2_t_U) + -> result + (ChildTrait2_tChildTrait2_t_ParentTrait2SelfInst).(ParentTrait2_tParentTrait2_t_U_clause_0).(WithTarget_tWithTarget_t_Target); +}. + +Arguments mkChildTrait2_t { _ }. +Arguments ChildTrait2_tChildTrait2_t_ParentTrait2SelfInst { _ }. +Arguments ChildTrait2_t_convert { _ }. + +(** Trait implementation: [traits::{u32#11}] + Source: 'src/traits.rs', lines 264:0-264:23 *) +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 *) +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 *) +Definition u32_convert (x : u32) : result u32 := + Return x. + +(** Trait implementation: [traits::{u32#13}] + Source: 'src/traits.rs', lines 272:0-272:24 *) +Definition traits_ChildTrait2U32Inst : ChildTrait2_t u32 := {| + ChildTrait2_tChildTrait2_t_ParentTrait2SelfInst := + traits_ParentTrait2U32Inst; + ChildTrait2_t_convert := u32_convert; +|}. + +(** Trait declaration: [traits::CFnOnce] + Source: 'src/traits.rs', lines 286:0-286:23 *) +Record CFnOnce_t (Self Args : Type) := mkCFnOnce_t { + CFnOnce_tCFnOnce_t_Output : Type; + CFnOnce_t_call_once : Self -> Args -> result CFnOnce_tCFnOnce_t_Output; +}. + +Arguments mkCFnOnce_t { _ _ }. +Arguments CFnOnce_tCFnOnce_t_Output { _ _ }. +Arguments CFnOnce_t_call_once { _ _ }. + +(** Trait declaration: [traits::CFnMut] + Source: 'src/traits.rs', lines 292:0-292:37 *) +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; +}. + +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 *) +Record CFn_t (Self Args : Type) := mkCFn_t { + CFn_tCFn_t_CFnMutSelfArgsInst : CFnMut_t Self Args; + CFn_t_call_mut : 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 { _ _ }. + +End Traits. diff --git a/tests/coq/traits/_CoqProject b/tests/coq/traits/_CoqProject new file mode 100644 index 00000000..5b6199fc --- /dev/null +++ b/tests/coq/traits/_CoqProject @@ -0,0 +1,7 @@ +# This file was automatically generated - see ../Makefile +-R . Lib +-arg -w +-arg all + +Traits.v +Primitives.v diff --git a/tests/fstar/array/Array.Clauses.Template.fst b/tests/fstar/array/Array.Clauses.Template.fst index 8a15e230..84347ab9 100644 --- a/tests/fstar/array/Array.Clauses.Template.fst +++ b/tests/fstar/array/Array.Clauses.Template.fst @@ -6,13 +6,16 @@ open Array.Types #set-options "--z3rlimit 50 --fuel 1 --ifuel 1" -(** [array::sum]: decreases clause *) +(** [array::sum]: decreases clause + Source: 'src/array.rs', lines 242:0-250:1 *) unfold -let sum_loop_decreases (s : slice u32) (sum : u32) (i : usize) : nat = admit () +let sum_loop_decreases (s : slice u32) (sum0 : u32) (i : usize) : nat = + admit () -(** [array::sum2]: decreases clause *) +(** [array::sum2]: decreases clause + Source: 'src/array.rs', lines 252:0-261:1 *) unfold -let sum2_loop_decreases (s : slice u32) (s2 : slice u32) (sum : u32) +let sum2_loop_decreases (s : slice u32) (s2 : slice u32) (sum0 : u32) (i : usize) : nat = admit () diff --git a/tests/fstar/array/Array.Funs.fst b/tests/fstar/array/Array.Funs.fst index 7c1d0b09..935bd9c9 100644 --- a/tests/fstar/array/Array.Funs.fst +++ b/tests/fstar/array/Array.Funs.fst @@ -7,349 +7,439 @@ include Array.Clauses #set-options "--z3rlimit 50 --fuel 1 --ifuel 1" -(** [array::array_to_shared_slice_]: forward function *) -let array_to_shared_slice__fwd - (t : Type0) (s : array t 32) : result (slice t) = - array_to_slice_shared t 32 s - -(** [array::array_to_mut_slice_]: forward function *) -let array_to_mut_slice__fwd (t : Type0) (s : array t 32) : result (slice t) = - array_to_slice_mut_fwd t 32 s - -(** [array::array_to_mut_slice_]: backward function 0 *) +(** [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_to_slice_mut_back t 32 s ret + array_from_slice t 32 s ret -(** [array::array_len]: forward function *) -let array_len_fwd (t : Type0) (s : array t 32) : result usize = - let* s0 = array_to_slice_shared t 32 s in let i = slice_len t s0 in Return i +(** [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* s0 = array_to_slice t 32 s in let i = slice_len t s0 in Return i -(** [array::shared_array_len]: forward function *) -let shared_array_len_fwd (t : Type0) (s : array t 32) : result usize = - let* s0 = array_to_slice_shared t 32 s in let i = slice_len t s0 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* s0 = array_to_slice t 32 s in let i = slice_len t s0 in Return i -(** [array::shared_slice_len]: forward function *) -let shared_slice_len_fwd (t : Type0) (s : slice t) : result usize = +(** [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 *) -let index_array_shared_fwd - (t : Type0) (s : array t 32) (i : usize) : result t = - array_index_shared t 32 s i - -(** [array::index_array_u32]: forward function *) -let index_array_u32_fwd (s : array u32 32) (i : usize) : result u32 = - array_index_shared u32 32 s i - -(** [array::index_array_generic]: forward function *) -let index_array_generic_fwd - (n : usize) (s : array u32 n) (i : usize) : result u32 = - array_index_shared u32 n s 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_generic_call]: forward function *) -let index_array_generic_call_fwd - (n : usize) (s : array u32 n) (i : usize) : result u32 = - index_array_generic_fwd n 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 *) -let index_array_copy_fwd (x : array u32 32) : result u32 = - array_index_shared u32 32 x 0 +(** [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 *) -let index_mut_array_fwd (t : Type0) (s : array t 32) (i : usize) : result t = - array_index_mut_fwd t 32 s i +(** [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 *) +(** [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_index_mut_back t 32 s i ret + array_update_usize t 32 s i ret -(** [array::index_slice]: forward function *) -let index_slice_fwd (t : Type0) (s : slice t) (i : usize) : result t = - slice_index_shared t s i +(** [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 *) -let index_mut_slice_fwd (t : Type0) (s : slice t) (i : usize) : result t = - slice_index_mut_fwd 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]: 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_index_mut_back t s i ret + slice_update_usize t s i ret -(** [array::slice_subslice_shared_]: forward function *) -let slice_subslice_shared__fwd +(** [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) = - slice_subslice_shared u32 x (Mkrange y z) + 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 *) -let slice_subslice_mut__fwd +(** [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) = - slice_subslice_mut_fwd u32 x (Mkrange y z) + 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 *) +(** [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) = - slice_subslice_mut_back u32 x (Mkrange y z) ret - -(** [array::array_to_slice_shared_]: forward function *) -let array_to_slice_shared__fwd (x : array u32 32) : result (slice u32) = - array_to_slice_shared u32 32 x - -(** [array::array_to_slice_mut_]: forward function *) -let array_to_slice_mut__fwd (x : array u32 32) : result (slice u32) = - array_to_slice_mut_fwd u32 32 x - -(** [array::array_to_slice_mut_]: backward function 0 *) + 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_to_slice_mut_back u32 32 x ret + array_from_slice u32 32 x ret -(** [array::array_subslice_shared_]: forward function *) -let array_subslice_shared__fwd +(** [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) = - array_subslice_shared u32 32 x (Mkrange y z) - -(** [array::array_subslice_mut_]: forward function *) -let array_subslice_mut__fwd + 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) = - array_subslice_mut_fwd u32 32 x (Mkrange y z) + 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 *) +(** [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) = - array_subslice_mut_back u32 32 x (Mkrange y z) ret - -(** [array::index_slice_0]: forward function *) -let index_slice_0_fwd (t : Type0) (s : slice t) : result t = - slice_index_shared t s 0 - -(** [array::index_array_0]: forward function *) -let index_array_0_fwd (t : Type0) (s : array t 32) : result t = - array_index_shared t 32 s 0 - -(** [array::index_index_array]: forward function *) -let index_index_array_fwd + 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_shared (array u32 32) 32 s i in - array_index_shared u32 32 a j + 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 *) -let update_update_array_fwd +(** [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_mut_fwd (array u32 32) 32 s i in - let* a0 = array_index_mut_back u32 32 a j 0 in - let* _ = array_index_mut_back (array u32 32) 32 s i a0 in + 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 Return () -(** [array::array_local_deep_copy]: forward function *) -let array_local_deep_copy_fwd (x : array u32 32) : result unit = +(** [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 *) -let take_array_fwd (a : array u32 2) : result unit = +(** [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 *) -let take_array_borrow_fwd (a : array u32 2) : result unit = +(** [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 *) -let take_slice_fwd (s : slice u32) : result unit = +(** [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 ()) *) -let take_mut_slice_fwd_back (s : slice u32) : result (slice u32) = + (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::take_all]: forward function *) -let take_all_fwd : result unit = - let* _ = take_array_fwd (mk_array u32 2 [ 0; 0 ]) in - let* _ = take_array_borrow_fwd (mk_array u32 2 [ 0; 0 ]) in - let* s = array_to_slice_shared u32 2 (mk_array u32 2 [ 0; 0 ]) in - let* _ = take_slice_fwd s in - let* s0 = array_to_slice_mut_fwd u32 2 (mk_array u32 2 [ 0; 0 ]) in - let* s1 = take_mut_slice_fwd_back s0 in - let* _ = array_to_slice_mut_back u32 2 (mk_array u32 2 [ 0; 0 ]) s1 in +(** [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* 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 Return () -(** [array::index_array]: forward function *) -let index_array_fwd (x : array u32 2) : result u32 = - array_index_shared u32 2 x 0 +(** [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 *) -let index_array_borrow_fwd (x : array u32 2) : result u32 = - array_index_shared 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 *) -let index_slice_u32_0_fwd (x : slice u32) : result u32 = - slice_index_shared u32 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 *) -let index_mut_slice_u32_0_fwd (x : slice u32) : result u32 = - slice_index_shared 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]: 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_shared u32 x 0 in Return x + let* _ = slice_index_usize u32 x 0 in Return x -(** [array::index_all]: forward function *) -let index_all_fwd : result u32 = - let* i = index_array_fwd (mk_array u32 2 [ 0; 0 ]) in - let* i0 = index_array_fwd (mk_array u32 2 [ 0; 0 ]) in +(** [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* i0 = index_array (mk_array u32 2 [ 0; 0 ]) in let* i1 = u32_add i i0 in - let* i2 = index_array_borrow_fwd (mk_array u32 2 [ 0; 0 ]) in + let* i2 = index_array_borrow (mk_array u32 2 [ 0; 0 ]) in let* i3 = u32_add i1 i2 in - let* s = array_to_slice_shared u32 2 (mk_array u32 2 [ 0; 0 ]) in - let* i4 = index_slice_u32_0_fwd s 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_mut_fwd u32 2 (mk_array u32 2 [ 0; 0 ]) in - let* i6 = index_mut_slice_u32_0_fwd s0 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_to_slice_mut_back u32 2 (mk_array u32 2 [ 0; 0 ]) s1 in + let* _ = array_from_slice u32 2 (mk_array u32 2 [ 0; 0 ]) s1 in Return i7 -(** [array::update_array]: forward function *) -let update_array_fwd (x : array u32 2) : result unit = - let* _ = array_index_mut_back u32 2 x 0 1 in Return () +(** [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 ()) *) -let update_array_mut_borrow_fwd_back (x : array u32 2) : result (array u32 2) = - array_index_mut_back u32 2 x 0 1 + (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 ()) *) -let update_mut_slice_fwd_back (x : slice u32) : result (slice u32) = - slice_index_mut_back u32 x 0 1 - -(** [array::update_all]: forward function *) -let update_all_fwd : result unit = - let* _ = update_array_fwd (mk_array u32 2 [ 0; 0 ]) in - let* x = update_array_mut_borrow_fwd_back (mk_array u32 2 [ 0; 0 ]) in - let* s = array_to_slice_mut_fwd u32 2 x in - let* s0 = update_mut_slice_fwd_back s in - let* _ = array_to_slice_mut_back u32 2 x s0 in + (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* s0 = update_mut_slice s in + let* _ = array_from_slice u32 2 x s0 in Return () -(** [array::range_all]: forward function *) -let range_all_fwd : result unit = +(** [array::range_all]: forward function + Source: 'src/array.rs', lines 205:0-205:18 *) +let range_all : result unit = let* s = - array_subslice_mut_fwd u32 4 (mk_array u32 4 [ 0; 0; 0; 0 ]) (Mkrange 1 3) - in - let* s0 = update_mut_slice_fwd_back s in + 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* _ = - array_subslice_mut_back u32 4 (mk_array u32 4 [ 0; 0; 0; 0 ]) (Mkrange 1 3) - s0 in + 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 Return () -(** [array::deref_array_borrow]: forward function *) -let deref_array_borrow_fwd (x : array u32 2) : result u32 = - array_index_shared u32 2 x 0 +(** [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 *) -let deref_array_mut_borrow_fwd (x : array u32 2) : result u32 = - array_index_shared 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 *) +(** [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_shared u32 2 x 0 in Return x + let* _ = array_index_usize u32 2 x 0 in Return x -(** [array::take_array_t]: forward function *) -let take_array_t_fwd (a : array t_t 2) : result unit = +(** [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 *) -let non_copyable_array_fwd : result unit = - let* _ = take_array_t_fwd (mk_array t_t 2 [ TA; TB ]) in 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 *) -let rec sum_loop_fwd - (s : slice u32) (sum : u32) (i : usize) : - Tot (result u32) (decreases (sum_loop_decreases s sum i)) +(** [array::sum]: loop 0: forward function + 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)) = let i0 = slice_len u32 s in if i < i0 then - let* i1 = slice_index_shared u32 s i in - let* sum0 = u32_add sum i1 in + 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_fwd s sum0 i2 - else Return sum - -(** [array::sum]: forward function *) -let sum_fwd (s : slice u32) : result u32 = - sum_loop_fwd s 0 0 - -(** [array::sum2]: loop 0: forward function *) -let rec sum2_loop_fwd - (s : slice u32) (s2 : slice u32) (sum : u32) (i : usize) : - Tot (result u32) (decreases (sum2_loop_decreases s s2 sum i)) + sum_loop s sum1 i2 + else Return sum0 + +(** [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) (sum0 : u32) (i : usize) : + Tot (result u32) (decreases (sum2_loop_decreases s s2 sum0 i)) = let i0 = slice_len u32 s in if i < i0 then - let* i1 = slice_index_shared u32 s i in - let* i2 = slice_index_shared u32 s2 i in + 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* sum0 = u32_add sum i3 in + let* sum1 = u32_add sum0 i3 in let* i4 = usize_add i 1 in - sum2_loop_fwd s s2 sum0 i4 - else Return sum + sum2_loop s s2 sum1 i4 + else Return sum0 -(** [array::sum2]: forward function *) -let sum2_fwd (s : slice u32) (s2 : slice u32) : result u32 = +(** [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 i0 = slice_len u32 s2 in - if not (i = i0) then Fail Failure else sum2_loop_fwd s s2 0 0 - -(** [array::f0]: forward function *) -let f0_fwd : result unit = - let* s = array_to_slice_mut_fwd u32 2 (mk_array u32 2 [ 1; 2 ]) in - let* s0 = slice_index_mut_back u32 s 0 1 in - let* _ = array_to_slice_mut_back u32 2 (mk_array u32 2 [ 1; 2 ]) s0 in + if not (i = i0) 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* s0 = slice_update_usize u32 s 0 1 in + let* _ = array_from_slice u32 2 (mk_array u32 2 [ 1; 2 ]) s0 in Return () -(** [array::f1]: forward function *) -let f1_fwd : result unit = - let* _ = array_index_mut_back u32 2 (mk_array u32 2 [ 1; 2 ]) 0 1 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 *) -let f2_fwd (i : u32) : result unit = +(** [array::f2]: forward function + Source: 'src/array.rs', lines 273:0-273:17 *) +let f2 (i : u32) : result unit = Return () -(** [array::f4]: forward function *) -let f4_fwd (x : array u32 32) (y : usize) (z : usize) : result (slice u32) = - array_subslice_shared u32 32 x (Mkrange y z) - -(** [array::f3]: forward function *) -let f3_fwd : result u32 = - let* i = array_index_shared u32 2 (mk_array u32 2 [ 1; 2 ]) 0 in - let* _ = f2_fwd i in - let* s = array_to_slice_shared u32 2 (mk_array u32 2 [ 1; 2 ]) in - let* s0 = - f4_fwd - (mk_array u32 32 [ - 0; 0; 0; 0; 0; 0; 0; 0; 0; 0; 0; 0; 0; 0; 0; 0; 0; 0; 0; 0; 0; 0; 0; 0; - 0; 0; 0; 0; 0; 0; 0; 0 - ]) 16 18 in - sum2_fwd s s0 - -(** [array::ite]: forward function *) -let ite_fwd : result unit = - let* s = array_to_slice_mut_fwd u32 2 (mk_array u32 2 [ 0; 0 ]) in - let* s0 = array_to_slice_mut_fwd u32 2 (mk_array u32 2 [ 0; 0 ]) in +(** [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* s0 = f4 b 16 18 in + sum2 s s0 + +(** [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* 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_to_slice_mut_back u32 2 (mk_array u32 2 [ 0; 0 ]) s1 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_to_slice_mut_back u32 2 (mk_array u32 2 [ 0; 0 ]) s2 in + let* _ = array_from_slice u32 2 (mk_array u32 2 [ 0; 0 ]) s2 in Return () diff --git a/tests/fstar/array/Array.Types.fst b/tests/fstar/array/Array.Types.fst index 5e8e81d8..312f6018 100644 --- a/tests/fstar/array/Array.Types.fst +++ b/tests/fstar/array/Array.Types.fst @@ -5,6 +5,7 @@ open Primitives #set-options "--z3rlimit 50 --fuel 1 --ifuel 1" -(** [array::T] *) -type t_t = | TA : t_t | TB : t_t +(** [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/array/Primitives.fst b/tests/fstar/array/Primitives.fst index 9db82069..dd340c00 100644 --- a/tests/fstar/array/Primitives.fst +++ b/tests/fstar/array/Primitives.fst @@ -55,12 +55,20 @@ type string = string let is_zero (n: nat) : bool = n = 0 let decrease (n: nat{n > 0}) : nat = n - 1 -let mem_replace_fwd (a : Type0) (x : a) (y : a) : a = x -let mem_replace_back (a : Type0) (x : a) (y : a) : a = y +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 @@ -100,6 +108,10 @@ type scalar_ty = | 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 @@ -162,6 +174,100 @@ let scalar_sub (#ty : scalar_ty) (x : scalar ty) (y : scalar ty) : result (scala 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) = @@ -169,17 +275,44 @@ let scalar_cast (src_ty : scalar_ty) (tgt_ty : scalar_ty) (x : scalar src_ty) : /// 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 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 +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 @@ -231,7 +364,7 @@ let u32_add = scalar_add #U32 let u64_add = scalar_add #U64 let u128_add = scalar_add #U128 -/// Substraction +/// Subtraction let isize_sub = scalar_sub #Isize let i8_sub = scalar_sub #I8 let i16_sub = scalar_sub #I16 @@ -259,12 +392,128 @@ let u32_mul = scalar_mul #U32 let u64_mul = scalar_mul #U64 let u128_mul = scalar_mul #U128 -(*** Range *) -type range (a : Type0) = { +/// 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} @@ -278,15 +527,11 @@ let mk_array (a : Type0) (n : usize) normalize_term_spec (FStar.List.Tot.length l); l -let array_index_shared (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_index_mut_fwd (a : Type0) (n : usize) (x : array a n) (i : usize) : result a = +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_index_mut_back (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 @@ -295,55 +540,54 @@ 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_shared (a : Type0) (x : slice a) (i : usize) : result a = - if i < length x then Return (index x i) - else Fail Failure - -let slice_index_mut_fwd (a : Type0) (x : slice a) (i : usize) : result a = +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_index_mut_back (a : Type0) (x : slice a) (i : usize) (nx : a) : result (slice a) = +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_shared (a : Type0) (n : usize) (x : array a n) : result (slice a) = Return x -let array_to_slice_mut_fwd (a : Type0) (n : usize) (x : array a n) : result (slice a) = Return x -let array_to_slice_mut_back (a : Type0) (n : usize) (x : array a n) (s : slice a) : result (array a n) = +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_shared (a : Type0) (n : usize) (x : array a n) (r : range usize) : result (slice a) = +let array_subslice (a : Type0) (n : usize) (x : array a n) (r : core_ops_range_Range usize) : result (slice a) = admit() -let array_subslice_mut_fwd (a : Type0) (n : usize) (x : array a n) (r : range usize) : result (slice a) = +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_subslice_mut_back (a : Type0) (n : usize) (x : array a n) (r : range usize) (ns : slice a) : result (array a n) = +let array_repeat (a : Type0) (n : usize) (x : a) : array a n = admit() -let slice_subslice_shared (a : Type0) (x : slice a) (r : range usize) : result (slice a) = +let slice_subslice (a : Type0) (x : slice a) (r : core_ops_range_Range usize) : result (slice a) = admit() -let slice_subslice_mut_fwd (a : Type0) (x : slice a) (r : range usize) : result (slice a) = - admit() - -let slice_subslice_mut_back (a : Type0) (x : slice a) (r : range usize) (ns : slice a) : result (slice a) = +let slice_update_subslice (a : Type0) (x : slice a) (r : core_ops_range_Range usize) (ns : slice a) : result (slice a) = admit() (*** Vector *) -type vec (a : Type0) = v:list a{length v <= usize_max} +type alloc_vec_Vec (a : Type0) = v:list a{length v <= usize_max} -let vec_new (a : Type0) : vec a = assert_norm(length #a [] == 0); [] -let vec_len (a : Type0) (v : vec a) : usize = length v +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 vec_push_fwd (a : Type0) (v : vec a) (x : a) : unit = () -let vec_push_back (a : Type0) (v : vec a) (x : a) : - Pure (result (vec a)) +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 @@ -358,18 +602,279 @@ let vec_push_back (a : Type0) (v : vec a) (x : a) : else Fail Failure // The **forward** function shouldn't be used -let vec_insert_fwd (a : Type0) (v : vec a) (i : usize) (x : a) : result unit = +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 vec_insert_back (a : Type0) (v : vec a) (i : usize) (x : a) : result (vec a) = +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 -// The **backward** function shouldn't be used -let vec_index_fwd (a : Type0) (v : vec a) (i : usize) : result a = - if i < length v then Return (index v i) else Fail Failure -let vec_index_back (a : Type0) (v : vec a) (i : usize) (x : a) : result unit = - if i < length v then Return () 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; +} -let vec_index_mut_fwd (a : Type0) (v : vec a) (i : usize) : result a = - if i < length v then Return (index v i) else Fail Failure -let vec_index_mut_back (a : Type0) (v : vec a) (i : usize) (nx : a) : result (vec a) = - if i < length v then Return (list_update v i nx) else Fail Failure +// [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/betree/BetreeMain.Clauses.Template.fst b/tests/fstar/betree/BetreeMain.Clauses.Template.fst index 823df03a..537705c5 100644 --- a/tests/fstar/betree/BetreeMain.Clauses.Template.fst +++ b/tests/fstar/betree/BetreeMain.Clauses.Template.fst @@ -6,97 +6,112 @@ open BetreeMain.Types #set-options "--z3rlimit 50 --fuel 1 --ifuel 1" -(** [betree_main::betree::List::{1}::len]: decreases clause *) +(** [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 = +let betree_List_len_decreases (t : Type0) (self : betree_List_t t) : nat = admit () -(** [betree_main::betree::List::{1}::split_at]: decreases clause *) +(** [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) +let betree_List_split_at_decreases (t : Type0) (self : betree_List_t t) (n : u64) : nat = admit () -(** [betree_main::betree::List::{2}::partition_at_pivot]: decreases clause *) +(** [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_list_partition_at_pivot_decreases (t : Type0) - (self : betree_list_t (u64 & t)) (pivot : u64) : nat = +let betree_ListTupleU64T_partition_at_pivot_decreases (t : Type0) + (self : betree_List_t (u64 & t)) (pivot : u64) : nat = admit () -(** [betree_main::betree::Node::{5}::lookup_first_message_for_key]: decreases clause *) +(** [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 = +let betree_Node_lookup_first_message_for_key_decreases (key : u64) + (msgs : betree_List_t (u64 & betree_Message_t)) : nat = admit () -(** [betree_main::betree::Node::{5}::apply_upserts]: decreases clause *) +(** [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_apply_upserts_decreases - (msgs : betree_list_t (u64 & betree_message_t)) (prev : option u64) - (key : u64) (st : state) : nat = +let betree_Node_lookup_in_bindings_decreases (key : u64) + (bindings : betree_List_t (u64 & u64)) : nat = admit () -(** [betree_main::betree::Node::{5}::lookup_in_bindings]: decreases clause *) +(** [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_lookup_in_bindings_decreases (key : u64) - (bindings : betree_list_t (u64 & u64)) : nat = +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::Internal::{4}::lookup_in_children]: decreases clause *) +(** [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) +let betree_Internal_lookup_in_children_decreases (self : betree_Internal_t) (key : u64) (st : state) : nat = admit () -(** [betree_main::betree::Node::{5}::lookup]: decreases clause *) +(** [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) +let betree_Node_lookup_decreases (self : betree_Node_t) (key : u64) (st : state) : nat = admit () -(** [betree_main::betree::Node::{5}::filter_messages_for_key]: decreases clause *) +(** [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 = +let betree_Node_filter_messages_for_key_decreases (key : u64) + (msgs : betree_List_t (u64 & betree_Message_t)) : nat = admit () -(** [betree_main::betree::Node::{5}::lookup_first_message_after_key]: decreases clause *) +(** [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 = +let betree_Node_lookup_first_message_after_key_decreases (key : u64) + (msgs : betree_List_t (u64 & betree_Message_t)) : nat = admit () -(** [betree_main::betree::Node::{5}::apply_messages_to_internal]: decreases clause *) +(** [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 = +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::Node::{5}::lookup_mut_in_bindings]: decreases clause *) +(** [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 = +let betree_Node_lookup_mut_in_bindings_decreases (key : u64) + (bindings : betree_List_t (u64 & u64)) : nat = admit () -(** [betree_main::betree::Node::{5}::apply_messages_to_leaf]: decreases clause *) +(** [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 = +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::Internal::{4}::flush]: decreases clause *) +(** [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_node_id_counter_t) - (content : betree_list_t (u64 & betree_message_t)) (st : state) : nat = +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::Node::{5}::apply_messages]: decreases clause *) +(** [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_node_id_counter_t) - (msgs : betree_list_t (u64 & betree_message_t)) (st : state) : nat = +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/betree/BetreeMain.Clauses.fst b/tests/fstar/betree/BetreeMain.Clauses.fst index 07484711..21f953d1 100644 --- a/tests/fstar/betree/BetreeMain.Clauses.fst +++ b/tests/fstar/betree/BetreeMain.Clauses.fst @@ -8,8 +8,8 @@ open BetreeMain.Types (*** Well-founded relations *) (* We had a few issues when proving termination of the mutually recursive functions: - * - betree_internal_flush - * - betree_node_apply_messages + * - betree_Internal_flush + * - betree_Node_apply_messages * * The quantity which effectively decreases is: * (betree_size, messages_length) @@ -103,108 +103,108 @@ let wf_nat_pair_lem (p0 p1 : nat_pair) : (** [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 = +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) +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_list_partition_at_pivot_decreases (t : Type0) - (self : betree_list_t (u64 & t)) (pivot : u64) : betree_list_t (u64 & t) = +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) = +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) = +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) = +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 = +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 = +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) = +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) = +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) = +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) = +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) = +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 = +let rec betree_size (bt : betree_Node_t) : nat = match bt with - | BetreeNodeInternal node -> 1 + betree_internal_size node - | BetreeNodeLeaf _ -> 1 + | 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.betree_internal_left + betree_size node.betree_internal_right +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 = +let rec betree_List_len (#a : Type0) (ls : betree_List_t a) : nat = match ls with - | BetreeListCons _ tl -> 1 + betree_list_len tl - | BetreeListNil -> 0 + | 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_node_id_counter_t) - (content : betree_list_t (u64 & betree_message_t)) (st : state) : nat_pair = - (|betree_internal_size self, 0|) +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_node_id_counter_t) - (msgs : betree_list_t (u64 & betree_message_t)) (st : state) : nat_pair = - (|betree_size self, betree_list_len msgs|) +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/betree/BetreeMain.Funs.fst b/tests/fstar/betree/BetreeMain.Funs.fst index 847dc865..f844b0ec 100644 --- a/tests/fstar/betree/BetreeMain.Funs.fst +++ b/tests/fstar/betree/BetreeMain.Funs.fst @@ -3,1018 +3,1009 @@ module BetreeMain.Funs open Primitives include BetreeMain.Types -include BetreeMain.Opaque +include BetreeMain.FunsExternal include BetreeMain.Clauses #set-options "--z3rlimit 50 --fuel 1 --ifuel 1" -(** [betree_main::betree::load_internal_node]: forward function *) -let betree_load_internal_node_fwd +(** [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))) + result (state & (betree_List_t (u64 & betree_Message_t))) = - betree_utils_load_internal_node_fwd id st + betree_utils_load_internal_node id st -(** [betree_main::betree::store_internal_node]: forward function *) -let betree_store_internal_node_fwd - (id : u64) (content : betree_list_t (u64 & betree_message_t)) (st : state) : +(** [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* (st0, _) = betree_utils_store_internal_node_fwd id content st in + let* (st0, _) = betree_utils_store_internal_node id content st in Return (st0, ()) -(** [betree_main::betree::load_leaf_node]: forward function *) -let betree_load_leaf_node_fwd - (id : u64) (st : state) : result (state & (betree_list_t (u64 & u64))) = - betree_utils_load_leaf_node_fwd id st +(** [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 *) -let betree_store_leaf_node_fwd - (id : u64) (content : betree_list_t (u64 & u64)) (st : state) : +(** [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* (st0, _) = betree_utils_store_leaf_node_fwd id content st in + let* (st0, _) = betree_utils_store_leaf_node id content st in Return (st0, ()) -(** [betree_main::betree::fresh_node_id]: forward function *) -let betree_fresh_node_id_fwd (counter : u64) : result u64 = +(** [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 *) +(** [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::NodeIdCounter::{0}::new]: forward function *) -let betree_node_id_counter_new_fwd : result betree_node_id_counter_t = - Return { betree_node_id_counter_next_node_id = 0 } - -(** [betree_main::betree::NodeIdCounter::{0}::fresh_id]: forward function *) -let betree_node_id_counter_fresh_id_fwd - (self : betree_node_id_counter_t) : result u64 = - let* _ = u64_add self.betree_node_id_counter_next_node_id 1 in - Return self.betree_node_id_counter_next_node_id - -(** [betree_main::betree::NodeIdCounter::{0}::fresh_id]: backward function 0 *) -let betree_node_id_counter_fresh_id_back - (self : betree_node_id_counter_t) : result betree_node_id_counter_t = - let* i = u64_add self.betree_node_id_counter_next_node_id 1 in - Return { betree_node_id_counter_next_node_id = i } - -(** [core::num::u64::{9}::MAX] *) -let core_num_u64_max_body : result u64 = Return 18446744073709551615 -let core_num_u64_max_c : u64 = eval_global core_num_u64_max_body - -(** [betree_main::betree::upsert_update]: forward function *) -let betree_upsert_update_fwd - (prev : option u64) (st : betree_upsert_fun_state_t) : result u64 = +(** [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 - | BetreeUpsertFunStateAdd v -> Return v - | BetreeUpsertFunStateSub i -> Return 0 + | Betree_UpsertFunState_Add v -> Return v + | Betree_UpsertFunState_Sub i -> Return 0 end | Some prev0 -> begin match st with - | BetreeUpsertFunStateAdd v -> - let* margin = u64_sub core_num_u64_max_c prev0 in - if margin >= v then u64_add prev0 v else Return core_num_u64_max_c - | BetreeUpsertFunStateSub v -> + | 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 + | Betree_UpsertFunState_Sub v -> if prev0 >= v then u64_sub prev0 v else Return 0 end end -(** [betree_main::betree::List::{1}::len]: forward function *) -let rec betree_list_len_fwd - (t : Type0) (self : betree_list_t t) : - Tot (result u64) (decreases (betree_list_len_decreases t self)) +(** [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 - | BetreeListCons x tl -> let* i = betree_list_len_fwd t tl in u64_add 1 i - | BetreeListNil -> Return 0 + | Betree_List_Cons x tl -> let* i = betree_List_len t tl in u64_add 1 i + | Betree_List_Nil -> Return 0 end -(** [betree_main::betree::List::{1}::split_at]: forward function *) -let rec betree_list_split_at_fwd - (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)) +(** [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 (BetreeListNil, self) + then Return (Betree_List_Nil, self) else begin match self with - | BetreeListCons hd tl -> + | Betree_List_Cons hd tl -> let* i = u64_sub n 1 in - let* p = betree_list_split_at_fwd t tl i in + let* p = betree_List_split_at t tl i in let (ls0, ls1) = p in let l = ls0 in - Return (BetreeListCons hd l, ls1) - | BetreeListNil -> Fail Failure + Return (Betree_List_Cons hd l, ls1) + | Betree_List_Nil -> Fail Failure end -(** [betree_main::betree::List::{1}::push_front]: merged forward/backward function - (there is a single backward function, and the forward function returns ()) *) -let betree_list_push_front_fwd_back - (t : Type0) (self : betree_list_t t) (x : t) : result (betree_list_t t) = - let tl = mem_replace_fwd (betree_list_t t) self BetreeListNil in +(** [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 let l = tl in - Return (BetreeListCons x l) + Return (Betree_List_Cons x l) -(** [betree_main::betree::List::{1}::pop_front]: forward function *) -let betree_list_pop_front_fwd (t : Type0) (self : betree_list_t t) : result t = - let ls = mem_replace_fwd (betree_list_t t) self BetreeListNil in +(** [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 - | BetreeListCons x tl -> Return x - | BetreeListNil -> Fail Failure + | Betree_List_Cons x tl -> Return x + | Betree_List_Nil -> Fail Failure end -(** [betree_main::betree::List::{1}::pop_front]: backward function 0 *) -let betree_list_pop_front_back - (t : Type0) (self : betree_list_t t) : result (betree_list_t t) = - let ls = mem_replace_fwd (betree_list_t t) self BetreeListNil in +(** [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 - | BetreeListCons x tl -> Return tl - | BetreeListNil -> Fail Failure + | Betree_List_Cons x tl -> Return tl + | Betree_List_Nil -> Fail Failure end -(** [betree_main::betree::List::{1}::hd]: forward function *) -let betree_list_hd_fwd (t : Type0) (self : betree_list_t t) : result t = +(** [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 - | BetreeListCons hd l -> Return hd - | BetreeListNil -> Fail Failure + | Betree_List_Cons hd l -> Return hd + | Betree_List_Nil -> Fail Failure end -(** [betree_main::betree::List::{2}::head_has_key]: forward function *) -let betree_list_head_has_key_fwd - (t : Type0) (self : betree_list_t (u64 & t)) (key : u64) : result bool = +(** [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 - | BetreeListCons hd l -> let (i, _) = hd in Return (i = key) - | BetreeListNil -> Return false + | Betree_List_Cons hd l -> let (i, _) = hd in Return (i = key) + | Betree_List_Nil -> Return false end -(** [betree_main::betree::List::{2}::partition_at_pivot]: forward function *) -let rec betree_list_partition_at_pivot_fwd - (t : Type0) (self : betree_list_t (u64 & t)) (pivot : u64) : - Tot (result ((betree_list_t (u64 & t)) & (betree_list_t (u64 & t)))) - (decreases (betree_list_partition_at_pivot_decreases t self pivot)) +(** [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 - | BetreeListCons hd tl -> + | Betree_List_Cons hd tl -> let (i, x) = hd in if i >= pivot - then Return (BetreeListNil, BetreeListCons (i, x) tl) + then Return (Betree_List_Nil, Betree_List_Cons (i, x) tl) else - let* p = betree_list_partition_at_pivot_fwd t tl pivot in + let* p = betree_ListTupleU64T_partition_at_pivot t tl pivot in let (ls0, ls1) = p in let l = ls0 in - Return (BetreeListCons (i, x) l, ls1) - | BetreeListNil -> Return (BetreeListNil, BetreeListNil) + Return (Betree_List_Cons (i, x) l, ls1) + | Betree_List_Nil -> Return (Betree_List_Nil, Betree_List_Nil) end -(** [betree_main::betree::Leaf::{3}::split]: forward function *) -let betree_leaf_split_fwd - (self : betree_leaf_t) (content : betree_list_t (u64 & u64)) - (params : betree_params_t) (node_id_cnt : betree_node_id_counter_t) +(** [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) + result (state & betree_Internal_t) = - let* p = - betree_list_split_at_fwd (u64 & u64) content - params.betree_params_split_size in + let* p = betree_List_split_at (u64 & u64) content params.split_size in let (content0, content1) = p in - let* p0 = betree_list_hd_fwd (u64 & u64) content1 in + let* p0 = betree_List_hd (u64 & u64) content1 in let (pivot, _) = p0 in - let* id0 = betree_node_id_counter_fresh_id_fwd node_id_cnt in - let* node_id_cnt0 = betree_node_id_counter_fresh_id_back node_id_cnt in - let* id1 = betree_node_id_counter_fresh_id_fwd node_id_cnt0 in - let* (st0, _) = betree_store_leaf_node_fwd id0 content0 st in - let* (st1, _) = betree_store_leaf_node_fwd id1 content1 st0 in - let n = BetreeNodeLeaf - { betree_leaf_id = id0; betree_leaf_size = params.betree_params_split_size - } in - let n0 = BetreeNodeLeaf - { betree_leaf_id = id1; betree_leaf_size = params.betree_params_split_size - } in - Return (st1, - { - betree_internal_id = self.betree_leaf_id; - betree_internal_pivot = pivot; - betree_internal_left = n; - betree_internal_right = n0 - }) - -(** [betree_main::betree::Leaf::{3}::split]: backward function 2 *) -let betree_leaf_split_back - (self : betree_leaf_t) (content : betree_list_t (u64 & u64)) - (params : betree_params_t) (node_id_cnt : betree_node_id_counter_t) + 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 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_node_id_counter_t + result betree_NodeIdCounter_t = - let* p = - betree_list_split_at_fwd (u64 & u64) content - params.betree_params_split_size in + let* p = betree_List_split_at (u64 & u64) content params.split_size in let (content0, content1) = p in - let* _ = betree_list_hd_fwd (u64 & u64) content1 in - let* id0 = betree_node_id_counter_fresh_id_fwd node_id_cnt in - let* node_id_cnt0 = betree_node_id_counter_fresh_id_back node_id_cnt in - let* id1 = betree_node_id_counter_fresh_id_fwd node_id_cnt0 in - let* (st0, _) = betree_store_leaf_node_fwd id0 content0 st in - let* _ = betree_store_leaf_node_fwd id1 content1 st0 in - betree_node_id_counter_fresh_id_back node_id_cnt0 - -(** [betree_main::betree::Node::{5}::lookup_first_message_for_key]: forward function *) -let rec betree_node_lookup_first_message_for_key_fwd - (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)) + 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 + 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 - | BetreeListCons x next_msgs -> + | Betree_List_Cons x next_msgs -> let (i, m) = x in if i >= key - then Return (BetreeListCons (i, m) next_msgs) - else betree_node_lookup_first_message_for_key_fwd key next_msgs - | BetreeListNil -> Return BetreeListNil + 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::Node::{5}::lookup_first_message_for_key]: backward function 0 *) -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)) +(** [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 - | BetreeListCons x next_msgs -> + | Betree_List_Cons x next_msgs -> let (i, m) = x in if i >= key then Return ret else let* next_msgs0 = - betree_node_lookup_first_message_for_key_back key next_msgs ret in - Return (BetreeListCons (i, m) next_msgs0) - | BetreeListNil -> Return ret + 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 end -(** [betree_main::betree::Node::{5}::apply_upserts]: forward function *) -let rec betree_node_apply_upserts_fwd - (msgs : betree_list_t (u64 & betree_message_t)) (prev : option u64) +(** [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, i0) = hd in + if i = key + then Return (Some i0) + 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)) + (decreases (betree_Node_apply_upserts_decreases msgs prev key st)) = - let* b = betree_list_head_has_key_fwd betree_message_t msgs key in + let* b = betree_ListTupleU64T_head_has_key betree_Message_t msgs key in if b then - let* msg = betree_list_pop_front_fwd (u64 & betree_message_t) msgs in + let* msg = betree_List_pop_front (u64 & betree_Message_t) msgs in let (_, m) = msg in begin match m with - | BetreeMessageInsert i -> Fail Failure - | BetreeMessageDelete -> Fail Failure - | BetreeMessageUpsert s -> - let* v = betree_upsert_update_fwd prev s in - let* msgs0 = betree_list_pop_front_back (u64 & betree_message_t) msgs in - betree_node_apply_upserts_fwd msgs0 (Some v) key st + | 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 msgs0 (Some v) key st end else - let* (st0, v) = core_option_option_unwrap_fwd u64 prev st in + let* (st0, v) = core_option_Option_unwrap u64 prev st in let* _ = - betree_list_push_front_fwd_back (u64 & betree_message_t) msgs (key, - BetreeMessageInsert v) in + betree_List_push_front (u64 & betree_Message_t) msgs (key, + Betree_Message_Insert v) in Return (st0, v) -(** [betree_main::betree::Node::{5}::apply_upserts]: backward function 0 *) -let rec betree_node_apply_upserts_back - (msgs : betree_list_t (u64 & betree_message_t)) (prev : option u64) +(** [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)) + Tot (result (betree_List_t (u64 & betree_Message_t))) + (decreases (betree_Node_apply_upserts_decreases msgs prev key st)) = - let* b = betree_list_head_has_key_fwd betree_message_t msgs key in + let* b = betree_ListTupleU64T_head_has_key betree_Message_t msgs key in if b then - let* msg = betree_list_pop_front_fwd (u64 & betree_message_t) msgs in + let* msg = betree_List_pop_front (u64 & betree_Message_t) msgs in let (_, m) = msg in begin match m with - | BetreeMessageInsert i -> Fail Failure - | BetreeMessageDelete -> Fail Failure - | BetreeMessageUpsert s -> - let* v = betree_upsert_update_fwd 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 + | 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_fwd u64 prev st in - betree_list_push_front_fwd_back (u64 & betree_message_t) msgs (key, - BetreeMessageInsert v) - -(** [betree_main::betree::Node::{5}::lookup_in_bindings]: forward function *) -let rec betree_node_lookup_in_bindings_fwd - (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 - | BetreeListCons hd tl -> - let (i, i0) = hd in - if i = key - then Return (Some i0) - else - if i > key - then Return None - else betree_node_lookup_in_bindings_fwd key tl - | BetreeListNil -> Return None - end - -(** [betree_main::betree::Internal::{4}::lookup_in_children]: forward function *) -let rec betree_internal_lookup_in_children_fwd - (self : betree_internal_t) (key : u64) (st : state) : + 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)) + (decreases (betree_Internal_lookup_in_children_decreases self key st)) = - if key < self.betree_internal_pivot - then betree_node_lookup_fwd self.betree_internal_left key st - else betree_node_lookup_fwd self.betree_internal_right 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::Internal::{4}::lookup_in_children]: backward function 0 *) -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)) +(** [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.betree_internal_pivot + if key < self.pivot then - let* n = betree_node_lookup_back self.betree_internal_left key st in - Return { self with betree_internal_left = n } + let* n = betree_Node_lookup_back self.left key st in + Return { self with left = n } else - let* n = betree_node_lookup_back self.betree_internal_right key st in - Return { self with betree_internal_right = n } + let* n = betree_Node_lookup_back self.right key st in + Return { self with right = n } -(** [betree_main::betree::Node::{5}::lookup]: forward function *) -and betree_node_lookup_fwd - (self : betree_node_t) (key : u64) (st : state) : +(** [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)) + (decreases (betree_Node_lookup_decreases self key st)) = begin match self with - | BetreeNodeInternal node -> - let* (st0, msgs) = betree_load_internal_node_fwd node.betree_internal_id st - in - let* pending = betree_node_lookup_first_message_for_key_fwd key msgs in + | 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 - | BetreeListCons p l -> + | Betree_List_Cons p l -> let (k, msg) = p in if k <> key then - let* (st1, opt) = betree_internal_lookup_in_children_fwd node key st0 - in + let* (st1, o) = betree_Internal_lookup_in_children node key st0 in let* _ = - betree_node_lookup_first_message_for_key_back key msgs - (BetreeListCons (k, msg) l) in - Return (st1, opt) + 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 - | BetreeMessageInsert v -> + | Betree_Message_Insert v -> let* _ = - betree_node_lookup_first_message_for_key_back key msgs - (BetreeListCons (k, BetreeMessageInsert v) l) in + betree_Node_lookup_first_message_for_key_back key msgs + (Betree_List_Cons (k, Betree_Message_Insert v) l) in Return (st0, Some v) - | BetreeMessageDelete -> + | Betree_Message_Delete -> let* _ = - betree_node_lookup_first_message_for_key_back key msgs - (BetreeListCons (k, BetreeMessageDelete) l) in + betree_Node_lookup_first_message_for_key_back key msgs + (Betree_List_Cons (k, Betree_Message_Delete) l) in Return (st0, None) - | BetreeMessageUpsert ufs -> - let* (st1, v) = betree_internal_lookup_in_children_fwd node key st0 - in + | Betree_Message_Upsert ufs -> + let* (st1, v) = betree_Internal_lookup_in_children node key st0 in let* (st2, v0) = - betree_node_apply_upserts_fwd (BetreeListCons (k, - BetreeMessageUpsert ufs) l) v key st1 in - let* node0 = betree_internal_lookup_in_children_back node key st0 in + 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 (BetreeListCons (k, - BetreeMessageUpsert ufs) l) v key st1 in + 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_fwd node0.betree_internal_id msgs0 st2 - in + 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) end - | BetreeListNil -> - let* (st1, opt) = betree_internal_lookup_in_children_fwd node key st0 in + | 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 BetreeListNil in - Return (st1, opt) + betree_Node_lookup_first_message_for_key_back key msgs Betree_List_Nil + in + Return (st1, o) end - | BetreeNodeLeaf node -> - let* (st0, bindings) = betree_load_leaf_node_fwd node.betree_leaf_id st in - let* opt = betree_node_lookup_in_bindings_fwd key bindings in - Return (st0, opt) + | 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::Node::{5}::lookup]: backward function 0 *) -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)) +(** [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 - | BetreeNodeInternal node -> - let* (st0, msgs) = betree_load_internal_node_fwd node.betree_internal_id st - in - let* pending = betree_node_lookup_first_message_for_key_fwd key msgs in + | 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 - | BetreeListCons p l -> + | 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 - (BetreeListCons (k, msg) l) in - let* node0 = betree_internal_lookup_in_children_back node key st0 in - Return (BetreeNodeInternal node0) + 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 - | BetreeMessageInsert v -> + | Betree_Message_Insert v -> let* _ = - betree_node_lookup_first_message_for_key_back key msgs - (BetreeListCons (k, BetreeMessageInsert v) l) in - Return (BetreeNodeInternal node) - | BetreeMessageDelete -> + 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 - (BetreeListCons (k, BetreeMessageDelete) l) in - Return (BetreeNodeInternal node) - | BetreeMessageUpsert ufs -> - let* (st1, v) = betree_internal_lookup_in_children_fwd node key st0 - in + 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_fwd (BetreeListCons (k, - BetreeMessageUpsert ufs) l) v key st1 in - let* node0 = betree_internal_lookup_in_children_back node key st0 in + 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 (BetreeListCons (k, - BetreeMessageUpsert ufs) l) v key st1 in + 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_fwd node0.betree_internal_id msgs0 st2 - in - Return (BetreeNodeInternal node0) + 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 - | BetreeListNil -> + | Betree_List_Nil -> let* _ = - betree_node_lookup_first_message_for_key_back key msgs BetreeListNil in - let* node0 = betree_internal_lookup_in_children_back node key st0 in - Return (BetreeNodeInternal node0) + 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 - | BetreeNodeLeaf node -> - let* (_, bindings) = betree_load_leaf_node_fwd node.betree_leaf_id st in - let* _ = betree_node_lookup_in_bindings_fwd key bindings in - Return (BetreeNodeLeaf node) + | 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::Node::{5}::filter_messages_for_key]: merged forward/backward function - (there is a single backward function, and the forward function returns ()) *) -let rec betree_node_filter_messages_for_key_fwd_back - (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)) +(** [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 - | BetreeListCons p l -> + | Betree_List_Cons p l -> let (k, m) = p in if k = key then let* msgs0 = - betree_list_pop_front_back (u64 & betree_message_t) (BetreeListCons (k, - m) l) in - betree_node_filter_messages_for_key_fwd_back key msgs0 - else Return (BetreeListCons (k, m) l) - | BetreeListNil -> Return BetreeListNil + betree_List_pop_front_back (u64 & betree_Message_t) (Betree_List_Cons + (k, m) l) in + betree_Node_filter_messages_for_key key msgs0 + else Return (Betree_List_Cons (k, m) l) + | Betree_List_Nil -> Return Betree_List_Nil end -(** [betree_main::betree::Node::{5}::lookup_first_message_after_key]: forward function *) -let rec betree_node_lookup_first_message_after_key_fwd - (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)) +(** [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 - | BetreeListCons p next_msgs -> + | Betree_List_Cons p next_msgs -> let (k, m) = p in if k = key - then betree_node_lookup_first_message_after_key_fwd key next_msgs - else Return (BetreeListCons (k, m) next_msgs) - | BetreeListNil -> Return BetreeListNil + 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::Node::{5}::lookup_first_message_after_key]: backward function 0 *) -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)) +(** [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 - | BetreeListCons p next_msgs -> + | Betree_List_Cons p next_msgs -> 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 (BetreeListCons (k, m) 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 - | BetreeListNil -> Return ret + | Betree_List_Nil -> Return ret end -(** [betree_main::betree::Node::{5}::apply_to_internal]: merged forward/backward function - (there is a single backward function, and the forward function returns ()) *) -let betree_node_apply_to_internal_fwd_back - (msgs : betree_list_t (u64 & betree_message_t)) (key : u64) - (new_msg : betree_message_t) : - result (betree_list_t (u64 & betree_message_t)) +(** [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* msgs0 = betree_node_lookup_first_message_for_key_fwd key msgs in - let* b = betree_list_head_has_key_fwd betree_message_t msgs0 key in + 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 if b then begin match new_msg with - | BetreeMessageInsert i -> - let* msgs1 = betree_node_filter_messages_for_key_fwd_back key msgs0 in + | Betree_Message_Insert i -> + let* msgs1 = betree_Node_filter_messages_for_key key msgs0 in let* msgs2 = - betree_list_push_front_fwd_back (u64 & betree_message_t) msgs1 (key, - BetreeMessageInsert i) in - betree_node_lookup_first_message_for_key_back key msgs msgs2 - | BetreeMessageDelete -> - let* msgs1 = betree_node_filter_messages_for_key_fwd_back key msgs0 in + betree_List_push_front (u64 & betree_Message_t) msgs1 (key, + Betree_Message_Insert i) in + betree_Node_lookup_first_message_for_key_back key msgs msgs2 + | Betree_Message_Delete -> + let* msgs1 = betree_Node_filter_messages_for_key key msgs0 in let* msgs2 = - betree_list_push_front_fwd_back (u64 & betree_message_t) msgs1 (key, - BetreeMessageDelete) in - betree_node_lookup_first_message_for_key_back key msgs msgs2 - | BetreeMessageUpsert s -> - let* p = betree_list_hd_fwd (u64 & betree_message_t) msgs0 in + betree_List_push_front (u64 & betree_Message_t) msgs1 (key, + Betree_Message_Delete) in + betree_Node_lookup_first_message_for_key_back key msgs msgs2 + | Betree_Message_Upsert s -> + let* p = betree_List_hd (u64 & betree_Message_t) msgs0 in let (_, m) = p in begin match m with - | BetreeMessageInsert prev -> - let* v = betree_upsert_update_fwd (Some prev) s in - let* msgs1 = betree_list_pop_front_back (u64 & betree_message_t) msgs0 + | 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_fwd_back (u64 & betree_message_t) msgs1 (key, - BetreeMessageInsert v) in - betree_node_lookup_first_message_for_key_back key msgs msgs2 - | BetreeMessageDelete -> - let* v = betree_upsert_update_fwd None s in - let* msgs1 = betree_list_pop_front_back (u64 & betree_message_t) msgs0 + betree_List_push_front (u64 & betree_Message_t) msgs1 (key, + Betree_Message_Insert v) in + betree_Node_lookup_first_message_for_key_back key msgs msgs2 + | Betree_Message_Delete -> + 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_fwd_back (u64 & betree_message_t) msgs1 (key, - BetreeMessageInsert v) in - betree_node_lookup_first_message_for_key_back key msgs msgs2 - | BetreeMessageUpsert ufs -> - let* msgs1 = betree_node_lookup_first_message_after_key_fwd key msgs0 - in + betree_List_push_front (u64 & betree_Message_t) msgs1 (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_fwd_back (u64 & betree_message_t) msgs1 (key, - BetreeMessageUpsert s) in + betree_List_push_front (u64 & betree_Message_t) msgs1 (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 + betree_Node_lookup_first_message_after_key_back key msgs0 msgs2 in + betree_Node_lookup_first_message_for_key_back key msgs msgs3 end end else let* msgs1 = - betree_list_push_front_fwd_back (u64 & betree_message_t) msgs0 (key, - new_msg) in - betree_node_lookup_first_message_for_key_back key msgs msgs1 - -(** [betree_main::betree::Node::{5}::apply_messages_to_internal]: merged forward/backward function - (there is a single backward function, and the forward function returns ()) *) -let rec betree_node_apply_messages_to_internal_fwd_back - (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)) + betree_List_push_front (u64 & betree_Message_t) msgs0 (key, new_msg) in + betree_Node_lookup_first_message_for_key_back key msgs msgs1 + +(** [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 - | BetreeListCons new_msg new_msgs_tl -> + | Betree_List_Cons new_msg new_msgs_tl -> let (i, m) = new_msg in - let* msgs0 = betree_node_apply_to_internal_fwd_back msgs i m in - betree_node_apply_messages_to_internal_fwd_back msgs0 new_msgs_tl - | BetreeListNil -> Return msgs + let* msgs0 = betree_Node_apply_to_internal msgs i m in + betree_Node_apply_messages_to_internal msgs0 new_msgs_tl + | Betree_List_Nil -> Return msgs end -(** [betree_main::betree::Node::{5}::lookup_mut_in_bindings]: forward function *) -let rec betree_node_lookup_mut_in_bindings_fwd - (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)) +(** [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 - | BetreeListCons hd tl -> + | Betree_List_Cons hd tl -> let (i, i0) = hd in if i >= key - then Return (BetreeListCons (i, i0) tl) - else betree_node_lookup_mut_in_bindings_fwd key tl - | BetreeListNil -> Return BetreeListNil + 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::Node::{5}::lookup_mut_in_bindings]: backward function 0 *) -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)) +(** [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 - | BetreeListCons hd tl -> + | Betree_List_Cons hd tl -> let (i, i0) = hd in if i >= key then Return ret else - let* tl0 = betree_node_lookup_mut_in_bindings_back key tl ret in - Return (BetreeListCons (i, i0) tl0) - | BetreeListNil -> Return ret + 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 end -(** [betree_main::betree::Node::{5}::apply_to_leaf]: merged forward/backward function - (there is a single backward function, and the forward function returns ()) *) -let betree_node_apply_to_leaf_fwd_back - (bindings : betree_list_t (u64 & u64)) (key : u64) - (new_msg : betree_message_t) : - result (betree_list_t (u64 & u64)) +(** [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* bindings0 = betree_node_lookup_mut_in_bindings_fwd key bindings in - let* b = betree_list_head_has_key_fwd u64 bindings0 key in + let* bindings0 = betree_Node_lookup_mut_in_bindings key bindings in + let* b = betree_ListTupleU64T_head_has_key u64 bindings0 key in if b then - let* hd = betree_list_pop_front_fwd (u64 & u64) bindings0 in + let* hd = betree_List_pop_front (u64 & u64) bindings0 in begin match new_msg with - | BetreeMessageInsert v -> - let* bindings1 = betree_list_pop_front_back (u64 & u64) bindings0 in - let* bindings2 = - betree_list_push_front_fwd_back (u64 & u64) bindings1 (key, v) in - betree_node_lookup_mut_in_bindings_back key bindings bindings2 - | BetreeMessageDelete -> - let* bindings1 = betree_list_pop_front_back (u64 & u64) bindings0 in - betree_node_lookup_mut_in_bindings_back key bindings bindings1 - | BetreeMessageUpsert s -> + | 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 + | Betree_Message_Upsert s -> let (_, i) = hd in - let* v = betree_upsert_update_fwd (Some i) s in - let* bindings1 = betree_list_pop_front_back (u64 & u64) bindings0 in - let* bindings2 = - betree_list_push_front_fwd_back (u64 & u64) bindings1 (key, v) in - betree_node_lookup_mut_in_bindings_back key bindings bindings2 + 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 end else begin match new_msg with - | BetreeMessageInsert v -> - let* bindings1 = - betree_list_push_front_fwd_back (u64 & u64) bindings0 (key, v) in - betree_node_lookup_mut_in_bindings_back key bindings bindings1 - | BetreeMessageDelete -> - betree_node_lookup_mut_in_bindings_back key bindings bindings0 - | BetreeMessageUpsert s -> - let* v = betree_upsert_update_fwd None s in - let* bindings1 = - betree_list_push_front_fwd_back (u64 & u64) bindings0 (key, v) in - betree_node_lookup_mut_in_bindings_back key bindings bindings1 + | 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 + | 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 end -(** [betree_main::betree::Node::{5}::apply_messages_to_leaf]: merged forward/backward function - (there is a single backward function, and the forward function returns ()) *) -let rec betree_node_apply_messages_to_leaf_fwd_back - (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)) +(** [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 - | BetreeListCons new_msg new_msgs_tl -> + | Betree_List_Cons new_msg new_msgs_tl -> let (i, m) = new_msg in - let* bindings0 = betree_node_apply_to_leaf_fwd_back bindings i m in - betree_node_apply_messages_to_leaf_fwd_back bindings0 new_msgs_tl - | BetreeListNil -> Return bindings + let* bindings0 = betree_Node_apply_to_leaf bindings i m in + betree_Node_apply_messages_to_leaf bindings0 new_msgs_tl + | Betree_List_Nil -> Return bindings end -(** [betree_main::betree::Internal::{4}::flush]: forward function *) -let rec betree_internal_flush_fwd - (self : betree_internal_t) (params : betree_params_t) - (node_id_cnt : betree_node_id_counter_t) - (content : betree_list_t (u64 & betree_message_t)) (st : state) : - Tot (result (state & (betree_list_t (u64 & betree_message_t)))) +(** [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)) + betree_Internal_flush_decreases self params node_id_cnt content st)) = let* p = - betree_list_partition_at_pivot_fwd betree_message_t content - self.betree_internal_pivot in + 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_fwd (u64 & betree_message_t) msgs_left in - if len_left >= params.betree_params_min_flush_size + 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_fwd self.betree_internal_left params - node_id_cnt msgs_left st in + betree_Node_apply_messages self.left params node_id_cnt msgs_left st in let* (_, node_id_cnt0) = - betree_node_apply_messages_back self.betree_internal_left params - node_id_cnt msgs_left st in - let* len_right = betree_list_len_fwd (u64 & betree_message_t) msgs_right in - if len_right >= params.betree_params_min_flush_size + 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* (st1, _) = - betree_node_apply_messages_fwd self.betree_internal_right params - node_id_cnt0 msgs_right st0 in + betree_Node_apply_messages self.right params node_id_cnt0 msgs_right + st0 in let* _ = - betree_node_apply_messages_back self.betree_internal_right params - node_id_cnt0 msgs_right st0 in - Return (st1, BetreeListNil) + 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) else let* (st0, _) = - betree_node_apply_messages_fwd self.betree_internal_right params - node_id_cnt msgs_right st in + betree_Node_apply_messages self.right params node_id_cnt msgs_right st in let* _ = - betree_node_apply_messages_back self.betree_internal_right params - node_id_cnt msgs_right st in + betree_Node_apply_messages_back self.right params node_id_cnt msgs_right + st in Return (st0, msgs_left) -(** [betree_main::betree::Internal::{4}::flush]: backward function 0 *) -and betree_internal_flush_back - (self : betree_internal_t) (params : betree_params_t) - (node_id_cnt : betree_node_id_counter_t) - (content : betree_list_t (u64 & betree_message_t)) (st : state) : - Tot (result (betree_internal_t & betree_node_id_counter_t)) +(** [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)) + betree_Internal_flush_decreases self params node_id_cnt content st)) = let* p = - betree_list_partition_at_pivot_fwd betree_message_t content - self.betree_internal_pivot in + 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_fwd (u64 & betree_message_t) msgs_left in - if len_left >= params.betree_params_min_flush_size + 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_fwd self.betree_internal_left params - node_id_cnt msgs_left st in + 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.betree_internal_left params - node_id_cnt msgs_left st in - let* len_right = betree_list_len_fwd (u64 & betree_message_t) msgs_right in - if len_right >= params.betree_params_min_flush_size + 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.betree_internal_right params - node_id_cnt0 msgs_right st0 in - Return - ({ self with betree_internal_left = n; betree_internal_right = n0 }, - node_id_cnt1) - else Return ({ self with betree_internal_left = n }, node_id_cnt0) + 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.betree_internal_right params - node_id_cnt msgs_right st in - Return ({ self with betree_internal_right = n }, node_id_cnt0) - -(** [betree_main::betree::Node::{5}::apply_messages]: forward function *) -and betree_node_apply_messages_fwd - (self : betree_node_t) (params : betree_params_t) - (node_id_cnt : betree_node_id_counter_t) - (msgs : betree_list_t (u64 & betree_message_t)) (st : state) : + betree_Node_apply_messages_back self.right params node_id_cnt msgs_right + st in + Return ({ self with right = n }, node_id_cnt0) + +(** [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)) + betree_Node_apply_messages_decreases self params node_id_cnt msgs st)) = begin match self with - | BetreeNodeInternal node -> - let* (st0, content) = - betree_load_internal_node_fwd node.betree_internal_id st in - let* content0 = - betree_node_apply_messages_to_internal_fwd_back content msgs in - let* num_msgs = betree_list_len_fwd (u64 & betree_message_t) content0 in - if num_msgs >= params.betree_params_min_flush_size + | 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_fwd node params node_id_cnt content0 st0 in + 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_fwd node0.betree_internal_id content1 st1 in + 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_fwd node.betree_internal_id content0 st0 in + let* (st1, _) = betree_store_internal_node node.id content0 st0 in Return (st1, ()) - | BetreeNodeLeaf node -> - let* (st0, content) = betree_load_leaf_node_fwd node.betree_leaf_id st in - let* content0 = betree_node_apply_messages_to_leaf_fwd_back content msgs in - let* len = betree_list_len_fwd (u64 & u64) content0 in - let* i = u64_mul 2 params.betree_params_split_size in + | 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_fwd node content0 params node_id_cnt st0 in - let* (st2, _) = - betree_store_leaf_node_fwd node.betree_leaf_id BetreeListNil st1 in + 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_fwd node.betree_leaf_id content0 st0 in + let* (st1, _) = betree_store_leaf_node node.id content0 st0 in Return (st1, ()) end -(** [betree_main::betree::Node::{5}::apply_messages]: backward function 0 *) -and betree_node_apply_messages_back - (self : betree_node_t) (params : betree_params_t) - (node_id_cnt : betree_node_id_counter_t) - (msgs : betree_list_t (u64 & betree_message_t)) (st : state) : - Tot (result (betree_node_t & betree_node_id_counter_t)) +(** [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)) + betree_Node_apply_messages_decreases self params node_id_cnt msgs st)) = begin match self with - | BetreeNodeInternal node -> - let* (st0, content) = - betree_load_internal_node_fwd node.betree_internal_id st in - let* content0 = - betree_node_apply_messages_to_internal_fwd_back content msgs in - let* num_msgs = betree_list_len_fwd (u64 & betree_message_t) content0 in - if num_msgs >= params.betree_params_min_flush_size + | 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_fwd node params node_id_cnt content0 st0 in + 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_fwd node0.betree_internal_id content1 st1 in - Return (BetreeNodeInternal 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) else - let* _ = - betree_store_internal_node_fwd node.betree_internal_id content0 st0 in - Return (BetreeNodeInternal node, node_id_cnt) - | BetreeNodeLeaf node -> - let* (st0, content) = betree_load_leaf_node_fwd node.betree_leaf_id st in - let* content0 = betree_node_apply_messages_to_leaf_fwd_back content msgs in - let* len = betree_list_len_fwd (u64 & u64) content0 in - let* i = u64_mul 2 params.betree_params_split_size in + let* _ = betree_store_internal_node node.id content0 st0 in + Return (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* i = u64_mul 2 params.split_size in if len >= i then let* (st1, new_node) = - betree_leaf_split_fwd node content0 params node_id_cnt st0 in - let* _ = betree_store_leaf_node_fwd node.betree_leaf_id BetreeListNil st1 - in + 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 (BetreeNodeInternal new_node, node_id_cnt0) + betree_Leaf_split_back node content0 params node_id_cnt st0 in + Return (Betree_Node_Internal new_node, node_id_cnt0) else - let* _ = betree_store_leaf_node_fwd node.betree_leaf_id content0 st0 in - Return (BetreeNodeLeaf { node with betree_leaf_size = len }, node_id_cnt) + let* _ = betree_store_leaf_node node.id content0 st0 in + Return (Betree_Node_Leaf { node with size = len }, node_id_cnt) end -(** [betree_main::betree::Node::{5}::apply]: forward function *) -let betree_node_apply_fwd - (self : betree_node_t) (params : betree_params_t) - (node_id_cnt : betree_node_id_counter_t) (key : u64) - (new_msg : betree_message_t) (st : state) : +(** [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 l = BetreeListNil in + let l = Betree_List_Nil in let* (st0, _) = - betree_node_apply_messages_fwd self params node_id_cnt (BetreeListCons - (key, new_msg) l) st in + 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 (BetreeListCons + betree_Node_apply_messages_back self params node_id_cnt (Betree_List_Cons (key, new_msg) l) st in Return (st0, ()) -(** [betree_main::betree::Node::{5}::apply]: backward function 0 *) -let betree_node_apply_back - (self : betree_node_t) (params : betree_params_t) - (node_id_cnt : betree_node_id_counter_t) (key : u64) - (new_msg : betree_message_t) (st : state) : - result (betree_node_t & betree_node_id_counter_t) - = - let l = BetreeListNil in - betree_node_apply_messages_back self params node_id_cnt (BetreeListCons (key, - new_msg) l) st - -(** [betree_main::betree::BeTree::{6}::new]: forward function *) -let betree_be_tree_new_fwd +(** [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 + +(** [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_be_tree_t) + result (state & betree_BeTree_t) = - let* node_id_cnt = betree_node_id_counter_new_fwd in - let* id = betree_node_id_counter_fresh_id_fwd node_id_cnt in - let* (st0, _) = betree_store_leaf_node_fwd id BetreeListNil st in - let* node_id_cnt0 = betree_node_id_counter_fresh_id_back node_id_cnt in + 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, { - betree_be_tree_params = - { - betree_params_min_flush_size = min_flush_size; - betree_params_split_size = split_size - }; - betree_be_tree_node_id_cnt = node_id_cnt0; - betree_be_tree_root = - (BetreeNodeLeaf { betree_leaf_id = id; betree_leaf_size = 0 }) + 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 }) }) -(** [betree_main::betree::BeTree::{6}::apply]: forward function *) -let betree_be_tree_apply_fwd - (self : betree_be_tree_t) (key : u64) (msg : betree_message_t) (st : state) : +(** [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* (st0, _) = - betree_node_apply_fwd self.betree_be_tree_root self.betree_be_tree_params - self.betree_be_tree_node_id_cnt key msg st in + betree_Node_apply self.root self.params self.node_id_cnt key msg st in let* _ = - betree_node_apply_back self.betree_be_tree_root self.betree_be_tree_params - self.betree_be_tree_node_id_cnt key msg st in + betree_Node_apply_back self.root self.params self.node_id_cnt key msg st in Return (st0, ()) -(** [betree_main::betree::BeTree::{6}::apply]: backward function 0 *) -let betree_be_tree_apply_back - (self : betree_be_tree_t) (key : u64) (msg : betree_message_t) (st : state) : - result betree_be_tree_t +(** [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.betree_be_tree_root self.betree_be_tree_params - self.betree_be_tree_node_id_cnt key msg st in - Return - { self with betree_be_tree_node_id_cnt = nic; betree_be_tree_root = n } - -(** [betree_main::betree::BeTree::{6}::insert]: forward function *) -let betree_be_tree_insert_fwd - (self : betree_be_tree_t) (key : u64) (value : u64) (st : state) : + 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* (st0, _) = - betree_be_tree_apply_fwd self key (BetreeMessageInsert value) st in - let* _ = betree_be_tree_apply_back self key (BetreeMessageInsert value) st in + 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::{6}::insert]: backward function 0 *) -let betree_be_tree_insert_back - (self : betree_be_tree_t) (key : u64) (value : u64) (st : state) : - result betree_be_tree_t +(** [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_be_tree_apply_back self key (BetreeMessageInsert value) st + betree_BeTree_apply_back self key (Betree_Message_Insert value) st -(** [betree_main::betree::BeTree::{6}::delete]: forward function *) -let betree_be_tree_delete_fwd - (self : betree_be_tree_t) (key : u64) (st : state) : result (state & unit) = - let* (st0, _) = betree_be_tree_apply_fwd self key BetreeMessageDelete st in - let* _ = betree_be_tree_apply_back self key BetreeMessageDelete st in +(** [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* (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::{6}::delete]: backward function 0 *) -let betree_be_tree_delete_back - (self : betree_be_tree_t) (key : u64) (st : state) : - result betree_be_tree_t - = - betree_be_tree_apply_back self key BetreeMessageDelete st +(** [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::{6}::upsert]: forward function *) -let betree_be_tree_upsert_fwd - (self : betree_be_tree_t) (key : u64) (upd : betree_upsert_fun_state_t) +(** [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* (st0, _) = - betree_be_tree_apply_fwd self key (BetreeMessageUpsert upd) st in - let* _ = betree_be_tree_apply_back self key (BetreeMessageUpsert upd) st in + 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_main::betree::BeTree::{6}::upsert]: backward function 0 *) -let betree_be_tree_upsert_back - (self : betree_be_tree_t) (key : u64) (upd : betree_upsert_fun_state_t) +(** [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_be_tree_t + result betree_BeTree_t = - betree_be_tree_apply_back self key (BetreeMessageUpsert upd) st + betree_BeTree_apply_back self key (Betree_Message_Upsert upd) st -(** [betree_main::betree::BeTree::{6}::lookup]: forward function *) -let betree_be_tree_lookup_fwd - (self : betree_be_tree_t) (key : u64) (st : state) : +(** [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_fwd self.betree_be_tree_root key st + betree_Node_lookup self.root key st -(** [betree_main::betree::BeTree::{6}::lookup]: backward function 0 *) -let betree_be_tree_lookup_back - (self : betree_be_tree_t) (key : u64) (st : state) : - result betree_be_tree_t - = - let* n = betree_node_lookup_back self.betree_be_tree_root key st in - Return { self with betree_be_tree_root = n } +(** [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 *) -let main_fwd : result unit = +(** [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_fwd = Return ()) +let _ = assert_norm (main = Return ()) diff --git a/tests/fstar/betree/BetreeMain.FunsExternal.fsti b/tests/fstar/betree/BetreeMain.FunsExternal.fsti new file mode 100644 index 00000000..cd2f956f --- /dev/null +++ b/tests/fstar/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/betree/BetreeMain.Opaque.fsti b/tests/fstar/betree/BetreeMain.Opaque.fsti deleted file mode 100644 index c33cf225..00000000 --- a/tests/fstar/betree/BetreeMain.Opaque.fsti +++ /dev/null @@ -1,30 +0,0 @@ -(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *) -(** [betree_main]: external function declarations *) -module BetreeMain.Opaque -open Primitives -include BetreeMain.Types - -#set-options "--z3rlimit 50 --fuel 1 --ifuel 1" - -(** [betree_main::betree_utils::load_internal_node]: forward function *) -val betree_utils_load_internal_node_fwd - : u64 -> state -> result (state & (betree_list_t (u64 & betree_message_t))) - -(** [betree_main::betree_utils::store_internal_node]: forward function *) -val betree_utils_store_internal_node_fwd - : - u64 -> betree_list_t (u64 & betree_message_t) -> state -> result (state & - unit) - -(** [betree_main::betree_utils::load_leaf_node]: forward function *) -val betree_utils_load_leaf_node_fwd - : u64 -> state -> result (state & (betree_list_t (u64 & u64))) - -(** [betree_main::betree_utils::store_leaf_node]: forward function *) -val betree_utils_store_leaf_node_fwd - : u64 -> betree_list_t (u64 & u64) -> state -> result (state & unit) - -(** [core::option::Option::{0}::unwrap]: forward function *) -val core_option_option_unwrap_fwd - (t : Type0) : option t -> state -> result (state & t) - diff --git a/tests/fstar/betree/BetreeMain.Types.fst b/tests/fstar/betree/BetreeMain.Types.fst new file mode 100644 index 00000000..b87219b2 --- /dev/null +++ b/tests/fstar/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/betree/BetreeMain.Types.fsti b/tests/fstar/betree/BetreeMain.Types.fsti deleted file mode 100644 index a937c726..00000000 --- a/tests/fstar/betree/BetreeMain.Types.fsti +++ /dev/null @@ -1,60 +0,0 @@ -(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *) -(** [betree_main]: type definitions *) -module BetreeMain.Types -open Primitives - -#set-options "--z3rlimit 50 --fuel 1 --ifuel 1" - -(** [betree_main::betree::List] *) -type betree_list_t (t : Type0) = -| BetreeListCons : t -> betree_list_t t -> betree_list_t t -| BetreeListNil : betree_list_t t - -(** [betree_main::betree::UpsertFunState] *) -type betree_upsert_fun_state_t = -| BetreeUpsertFunStateAdd : u64 -> betree_upsert_fun_state_t -| BetreeUpsertFunStateSub : u64 -> betree_upsert_fun_state_t - -(** [betree_main::betree::Message] *) -type betree_message_t = -| BetreeMessageInsert : u64 -> betree_message_t -| BetreeMessageDelete : betree_message_t -| BetreeMessageUpsert : betree_upsert_fun_state_t -> betree_message_t - -(** [betree_main::betree::Leaf] *) -type betree_leaf_t = { betree_leaf_id : u64; betree_leaf_size : u64; } - -(** [betree_main::betree::Internal] *) -type betree_internal_t = -{ - betree_internal_id : u64; - betree_internal_pivot : u64; - betree_internal_left : betree_node_t; - betree_internal_right : betree_node_t; -} - -(** [betree_main::betree::Node] *) -and betree_node_t = -| BetreeNodeInternal : betree_internal_t -> betree_node_t -| BetreeNodeLeaf : betree_leaf_t -> betree_node_t - -(** [betree_main::betree::Params] *) -type betree_params_t = -{ - betree_params_min_flush_size : u64; betree_params_split_size : u64; -} - -(** [betree_main::betree::NodeIdCounter] *) -type betree_node_id_counter_t = { betree_node_id_counter_next_node_id : u64; } - -(** [betree_main::betree::BeTree] *) -type betree_be_tree_t = -{ - betree_be_tree_params : betree_params_t; - betree_be_tree_node_id_cnt : betree_node_id_counter_t; - betree_be_tree_root : betree_node_t; -} - -(** The state type used in the state-error monad *) -val state : Type0 - diff --git a/tests/fstar/misc/External.Types.fsti b/tests/fstar/betree/BetreeMain.TypesExternal.fsti index 4a13a744..1b2c53a6 100644 --- a/tests/fstar/misc/External.Types.fsti +++ b/tests/fstar/betree/BetreeMain.TypesExternal.fsti @@ -1,13 +1,10 @@ (** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *) -(** [external]: type definitions *) -module External.Types +(** [betree_main]: external type declarations *) +module BetreeMain.TypesExternal open Primitives #set-options "--z3rlimit 50 --fuel 1 --ifuel 1" -(** [core::num::nonzero::NonZeroU32] *) -val core_num_nonzero_non_zero_u32_t : Type0 - (** The state type used in the state-error monad *) val state : Type0 diff --git a/tests/fstar/betree/Primitives.fst b/tests/fstar/betree/Primitives.fst index 9db82069..dd340c00 100644 --- a/tests/fstar/betree/Primitives.fst +++ b/tests/fstar/betree/Primitives.fst @@ -55,12 +55,20 @@ type string = string let is_zero (n: nat) : bool = n = 0 let decrease (n: nat{n > 0}) : nat = n - 1 -let mem_replace_fwd (a : Type0) (x : a) (y : a) : a = x -let mem_replace_back (a : Type0) (x : a) (y : a) : a = y +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 @@ -100,6 +108,10 @@ type scalar_ty = | 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 @@ -162,6 +174,100 @@ let scalar_sub (#ty : scalar_ty) (x : scalar ty) (y : scalar ty) : result (scala 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) = @@ -169,17 +275,44 @@ let scalar_cast (src_ty : scalar_ty) (tgt_ty : scalar_ty) (x : scalar src_ty) : /// 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 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 +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 @@ -231,7 +364,7 @@ let u32_add = scalar_add #U32 let u64_add = scalar_add #U64 let u128_add = scalar_add #U128 -/// Substraction +/// Subtraction let isize_sub = scalar_sub #Isize let i8_sub = scalar_sub #I8 let i16_sub = scalar_sub #I16 @@ -259,12 +392,128 @@ let u32_mul = scalar_mul #U32 let u64_mul = scalar_mul #U64 let u128_mul = scalar_mul #U128 -(*** Range *) -type range (a : Type0) = { +/// 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} @@ -278,15 +527,11 @@ let mk_array (a : Type0) (n : usize) normalize_term_spec (FStar.List.Tot.length l); l -let array_index_shared (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_index_mut_fwd (a : Type0) (n : usize) (x : array a n) (i : usize) : result a = +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_index_mut_back (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 @@ -295,55 +540,54 @@ 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_shared (a : Type0) (x : slice a) (i : usize) : result a = - if i < length x then Return (index x i) - else Fail Failure - -let slice_index_mut_fwd (a : Type0) (x : slice a) (i : usize) : result a = +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_index_mut_back (a : Type0) (x : slice a) (i : usize) (nx : a) : result (slice a) = +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_shared (a : Type0) (n : usize) (x : array a n) : result (slice a) = Return x -let array_to_slice_mut_fwd (a : Type0) (n : usize) (x : array a n) : result (slice a) = Return x -let array_to_slice_mut_back (a : Type0) (n : usize) (x : array a n) (s : slice a) : result (array a n) = +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_shared (a : Type0) (n : usize) (x : array a n) (r : range usize) : result (slice a) = +let array_subslice (a : Type0) (n : usize) (x : array a n) (r : core_ops_range_Range usize) : result (slice a) = admit() -let array_subslice_mut_fwd (a : Type0) (n : usize) (x : array a n) (r : range usize) : result (slice a) = +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_subslice_mut_back (a : Type0) (n : usize) (x : array a n) (r : range usize) (ns : slice a) : result (array a n) = +let array_repeat (a : Type0) (n : usize) (x : a) : array a n = admit() -let slice_subslice_shared (a : Type0) (x : slice a) (r : range usize) : result (slice a) = +let slice_subslice (a : Type0) (x : slice a) (r : core_ops_range_Range usize) : result (slice a) = admit() -let slice_subslice_mut_fwd (a : Type0) (x : slice a) (r : range usize) : result (slice a) = - admit() - -let slice_subslice_mut_back (a : Type0) (x : slice a) (r : range usize) (ns : slice a) : result (slice a) = +let slice_update_subslice (a : Type0) (x : slice a) (r : core_ops_range_Range usize) (ns : slice a) : result (slice a) = admit() (*** Vector *) -type vec (a : Type0) = v:list a{length v <= usize_max} +type alloc_vec_Vec (a : Type0) = v:list a{length v <= usize_max} -let vec_new (a : Type0) : vec a = assert_norm(length #a [] == 0); [] -let vec_len (a : Type0) (v : vec a) : usize = length v +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 vec_push_fwd (a : Type0) (v : vec a) (x : a) : unit = () -let vec_push_back (a : Type0) (v : vec a) (x : a) : - Pure (result (vec a)) +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 @@ -358,18 +602,279 @@ let vec_push_back (a : Type0) (v : vec a) (x : a) : else Fail Failure // The **forward** function shouldn't be used -let vec_insert_fwd (a : Type0) (v : vec a) (i : usize) (x : a) : result unit = +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 vec_insert_back (a : Type0) (v : vec a) (i : usize) (x : a) : result (vec a) = +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 -// The **backward** function shouldn't be used -let vec_index_fwd (a : Type0) (v : vec a) (i : usize) : result a = - if i < length v then Return (index v i) else Fail Failure -let vec_index_back (a : Type0) (v : vec a) (i : usize) (x : a) : result unit = - if i < length v then Return () 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; +} -let vec_index_mut_fwd (a : Type0) (v : vec a) (i : usize) : result a = - if i < length v then Return (index v i) else Fail Failure -let vec_index_mut_back (a : Type0) (v : vec a) (i : usize) (nx : a) : result (vec a) = - if i < length v then Return (list_update v i nx) else Fail Failure +// [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/betree_back_stateful/BetreeMain.Clauses.Template.fst b/tests/fstar/betree_back_stateful/BetreeMain.Clauses.Template.fst index 823df03a..537705c5 100644 --- a/tests/fstar/betree_back_stateful/BetreeMain.Clauses.Template.fst +++ b/tests/fstar/betree_back_stateful/BetreeMain.Clauses.Template.fst @@ -6,97 +6,112 @@ open BetreeMain.Types #set-options "--z3rlimit 50 --fuel 1 --ifuel 1" -(** [betree_main::betree::List::{1}::len]: decreases clause *) +(** [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 = +let betree_List_len_decreases (t : Type0) (self : betree_List_t t) : nat = admit () -(** [betree_main::betree::List::{1}::split_at]: decreases clause *) +(** [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) +let betree_List_split_at_decreases (t : Type0) (self : betree_List_t t) (n : u64) : nat = admit () -(** [betree_main::betree::List::{2}::partition_at_pivot]: decreases clause *) +(** [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_list_partition_at_pivot_decreases (t : Type0) - (self : betree_list_t (u64 & t)) (pivot : u64) : nat = +let betree_ListTupleU64T_partition_at_pivot_decreases (t : Type0) + (self : betree_List_t (u64 & t)) (pivot : u64) : nat = admit () -(** [betree_main::betree::Node::{5}::lookup_first_message_for_key]: decreases clause *) +(** [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 = +let betree_Node_lookup_first_message_for_key_decreases (key : u64) + (msgs : betree_List_t (u64 & betree_Message_t)) : nat = admit () -(** [betree_main::betree::Node::{5}::apply_upserts]: decreases clause *) +(** [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_apply_upserts_decreases - (msgs : betree_list_t (u64 & betree_message_t)) (prev : option u64) - (key : u64) (st : state) : nat = +let betree_Node_lookup_in_bindings_decreases (key : u64) + (bindings : betree_List_t (u64 & u64)) : nat = admit () -(** [betree_main::betree::Node::{5}::lookup_in_bindings]: decreases clause *) +(** [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_lookup_in_bindings_decreases (key : u64) - (bindings : betree_list_t (u64 & u64)) : nat = +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::Internal::{4}::lookup_in_children]: decreases clause *) +(** [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) +let betree_Internal_lookup_in_children_decreases (self : betree_Internal_t) (key : u64) (st : state) : nat = admit () -(** [betree_main::betree::Node::{5}::lookup]: decreases clause *) +(** [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) +let betree_Node_lookup_decreases (self : betree_Node_t) (key : u64) (st : state) : nat = admit () -(** [betree_main::betree::Node::{5}::filter_messages_for_key]: decreases clause *) +(** [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 = +let betree_Node_filter_messages_for_key_decreases (key : u64) + (msgs : betree_List_t (u64 & betree_Message_t)) : nat = admit () -(** [betree_main::betree::Node::{5}::lookup_first_message_after_key]: decreases clause *) +(** [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 = +let betree_Node_lookup_first_message_after_key_decreases (key : u64) + (msgs : betree_List_t (u64 & betree_Message_t)) : nat = admit () -(** [betree_main::betree::Node::{5}::apply_messages_to_internal]: decreases clause *) +(** [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 = +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::Node::{5}::lookup_mut_in_bindings]: decreases clause *) +(** [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 = +let betree_Node_lookup_mut_in_bindings_decreases (key : u64) + (bindings : betree_List_t (u64 & u64)) : nat = admit () -(** [betree_main::betree::Node::{5}::apply_messages_to_leaf]: decreases clause *) +(** [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 = +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::Internal::{4}::flush]: decreases clause *) +(** [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_node_id_counter_t) - (content : betree_list_t (u64 & betree_message_t)) (st : state) : nat = +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::Node::{5}::apply_messages]: decreases clause *) +(** [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_node_id_counter_t) - (msgs : betree_list_t (u64 & betree_message_t)) (st : state) : nat = +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/betree_back_stateful/BetreeMain.Clauses.fst b/tests/fstar/betree_back_stateful/BetreeMain.Clauses.fst index 07484711..21f953d1 100644 --- a/tests/fstar/betree_back_stateful/BetreeMain.Clauses.fst +++ b/tests/fstar/betree_back_stateful/BetreeMain.Clauses.fst @@ -8,8 +8,8 @@ open BetreeMain.Types (*** Well-founded relations *) (* We had a few issues when proving termination of the mutually recursive functions: - * - betree_internal_flush - * - betree_node_apply_messages + * - betree_Internal_flush + * - betree_Node_apply_messages * * The quantity which effectively decreases is: * (betree_size, messages_length) @@ -103,108 +103,108 @@ let wf_nat_pair_lem (p0 p1 : nat_pair) : (** [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 = +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) +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_list_partition_at_pivot_decreases (t : Type0) - (self : betree_list_t (u64 & t)) (pivot : u64) : betree_list_t (u64 & t) = +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) = +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) = +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) = +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 = +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 = +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) = +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) = +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) = +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) = +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) = +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 = +let rec betree_size (bt : betree_Node_t) : nat = match bt with - | BetreeNodeInternal node -> 1 + betree_internal_size node - | BetreeNodeLeaf _ -> 1 + | 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.betree_internal_left + betree_size node.betree_internal_right +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 = +let rec betree_List_len (#a : Type0) (ls : betree_List_t a) : nat = match ls with - | BetreeListCons _ tl -> 1 + betree_list_len tl - | BetreeListNil -> 0 + | 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_node_id_counter_t) - (content : betree_list_t (u64 & betree_message_t)) (st : state) : nat_pair = - (|betree_internal_size self, 0|) +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_node_id_counter_t) - (msgs : betree_list_t (u64 & betree_message_t)) (st : state) : nat_pair = - (|betree_size self, betree_list_len msgs|) +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/betree_back_stateful/BetreeMain.Funs.fst b/tests/fstar/betree_back_stateful/BetreeMain.Funs.fst index 3d08cd3c..6c3c2161 100644 --- a/tests/fstar/betree_back_stateful/BetreeMain.Funs.fst +++ b/tests/fstar/betree_back_stateful/BetreeMain.Funs.fst @@ -3,1250 +3,1229 @@ module BetreeMain.Funs open Primitives include BetreeMain.Types -include BetreeMain.Opaque +include BetreeMain.FunsExternal include BetreeMain.Clauses #set-options "--z3rlimit 50 --fuel 1 --ifuel 1" -(** [betree_main::betree::load_internal_node]: forward function *) -let betree_load_internal_node_fwd +(** [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))) + result (state & (betree_List_t (u64 & betree_Message_t))) = - betree_utils_load_internal_node_fwd id st + betree_utils_load_internal_node id st -(** [betree_main::betree::store_internal_node]: forward function *) -let betree_store_internal_node_fwd - (id : u64) (content : betree_list_t (u64 & betree_message_t)) (st : state) : +(** [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* (st0, _) = betree_utils_store_internal_node_fwd id content st in + let* (st0, _) = betree_utils_store_internal_node id content st in Return (st0, ()) -(** [betree_main::betree::load_leaf_node]: forward function *) -let betree_load_leaf_node_fwd - (id : u64) (st : state) : result (state & (betree_list_t (u64 & u64))) = - betree_utils_load_leaf_node_fwd id st +(** [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 *) -let betree_store_leaf_node_fwd - (id : u64) (content : betree_list_t (u64 & u64)) (st : state) : +(** [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* (st0, _) = betree_utils_store_leaf_node_fwd id content st in + let* (st0, _) = betree_utils_store_leaf_node id content st in Return (st0, ()) -(** [betree_main::betree::fresh_node_id]: forward function *) -let betree_fresh_node_id_fwd (counter : u64) : result u64 = +(** [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 *) +(** [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::NodeIdCounter::{0}::new]: forward function *) -let betree_node_id_counter_new_fwd : result betree_node_id_counter_t = - Return { betree_node_id_counter_next_node_id = 0 } - -(** [betree_main::betree::NodeIdCounter::{0}::fresh_id]: forward function *) -let betree_node_id_counter_fresh_id_fwd - (self : betree_node_id_counter_t) : result u64 = - let* _ = u64_add self.betree_node_id_counter_next_node_id 1 in - Return self.betree_node_id_counter_next_node_id - -(** [betree_main::betree::NodeIdCounter::{0}::fresh_id]: backward function 0 *) -let betree_node_id_counter_fresh_id_back - (self : betree_node_id_counter_t) : result betree_node_id_counter_t = - let* i = u64_add self.betree_node_id_counter_next_node_id 1 in - Return { betree_node_id_counter_next_node_id = i } - -(** [core::num::u64::{9}::MAX] *) -let core_num_u64_max_body : result u64 = Return 18446744073709551615 -let core_num_u64_max_c : u64 = eval_global core_num_u64_max_body - -(** [betree_main::betree::upsert_update]: forward function *) -let betree_upsert_update_fwd - (prev : option u64) (st : betree_upsert_fun_state_t) : result u64 = +(** [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 - | BetreeUpsertFunStateAdd v -> Return v - | BetreeUpsertFunStateSub i -> Return 0 + | Betree_UpsertFunState_Add v -> Return v + | Betree_UpsertFunState_Sub i -> Return 0 end | Some prev0 -> begin match st with - | BetreeUpsertFunStateAdd v -> - let* margin = u64_sub core_num_u64_max_c prev0 in - if margin >= v then u64_add prev0 v else Return core_num_u64_max_c - | BetreeUpsertFunStateSub v -> + | 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 + | Betree_UpsertFunState_Sub v -> if prev0 >= v then u64_sub prev0 v else Return 0 end end -(** [betree_main::betree::List::{1}::len]: forward function *) -let rec betree_list_len_fwd - (t : Type0) (self : betree_list_t t) : - Tot (result u64) (decreases (betree_list_len_decreases t self)) +(** [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 - | BetreeListCons x tl -> let* i = betree_list_len_fwd t tl in u64_add 1 i - | BetreeListNil -> Return 0 + | Betree_List_Cons x tl -> let* i = betree_List_len t tl in u64_add 1 i + | Betree_List_Nil -> Return 0 end -(** [betree_main::betree::List::{1}::split_at]: forward function *) -let rec betree_list_split_at_fwd - (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)) +(** [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 (BetreeListNil, self) + then Return (Betree_List_Nil, self) else begin match self with - | BetreeListCons hd tl -> + | Betree_List_Cons hd tl -> let* i = u64_sub n 1 in - let* p = betree_list_split_at_fwd t tl i in + let* p = betree_List_split_at t tl i in let (ls0, ls1) = p in let l = ls0 in - Return (BetreeListCons hd l, ls1) - | BetreeListNil -> Fail Failure + Return (Betree_List_Cons hd l, ls1) + | Betree_List_Nil -> Fail Failure end -(** [betree_main::betree::List::{1}::push_front]: merged forward/backward function - (there is a single backward function, and the forward function returns ()) *) -let betree_list_push_front_fwd_back - (t : Type0) (self : betree_list_t t) (x : t) : result (betree_list_t t) = - let tl = mem_replace_fwd (betree_list_t t) self BetreeListNil in +(** [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 let l = tl in - Return (BetreeListCons x l) + Return (Betree_List_Cons x l) -(** [betree_main::betree::List::{1}::pop_front]: forward function *) -let betree_list_pop_front_fwd (t : Type0) (self : betree_list_t t) : result t = - let ls = mem_replace_fwd (betree_list_t t) self BetreeListNil in +(** [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 - | BetreeListCons x tl -> Return x - | BetreeListNil -> Fail Failure + | Betree_List_Cons x tl -> Return x + | Betree_List_Nil -> Fail Failure end -(** [betree_main::betree::List::{1}::pop_front]: backward function 0 *) -let betree_list_pop_front_back - (t : Type0) (self : betree_list_t t) : result (betree_list_t t) = - let ls = mem_replace_fwd (betree_list_t t) self BetreeListNil in +(** [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 - | BetreeListCons x tl -> Return tl - | BetreeListNil -> Fail Failure + | Betree_List_Cons x tl -> Return tl + | Betree_List_Nil -> Fail Failure end -(** [betree_main::betree::List::{1}::hd]: forward function *) -let betree_list_hd_fwd (t : Type0) (self : betree_list_t t) : result t = +(** [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 - | BetreeListCons hd l -> Return hd - | BetreeListNil -> Fail Failure + | Betree_List_Cons hd l -> Return hd + | Betree_List_Nil -> Fail Failure end -(** [betree_main::betree::List::{2}::head_has_key]: forward function *) -let betree_list_head_has_key_fwd - (t : Type0) (self : betree_list_t (u64 & t)) (key : u64) : result bool = +(** [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 - | BetreeListCons hd l -> let (i, _) = hd in Return (i = key) - | BetreeListNil -> Return false + | Betree_List_Cons hd l -> let (i, _) = hd in Return (i = key) + | Betree_List_Nil -> Return false end -(** [betree_main::betree::List::{2}::partition_at_pivot]: forward function *) -let rec betree_list_partition_at_pivot_fwd - (t : Type0) (self : betree_list_t (u64 & t)) (pivot : u64) : - Tot (result ((betree_list_t (u64 & t)) & (betree_list_t (u64 & t)))) - (decreases (betree_list_partition_at_pivot_decreases t self pivot)) +(** [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 - | BetreeListCons hd tl -> + | Betree_List_Cons hd tl -> let (i, x) = hd in if i >= pivot - then Return (BetreeListNil, BetreeListCons (i, x) tl) + then Return (Betree_List_Nil, Betree_List_Cons (i, x) tl) else - let* p = betree_list_partition_at_pivot_fwd t tl pivot in + let* p = betree_ListTupleU64T_partition_at_pivot t tl pivot in let (ls0, ls1) = p in let l = ls0 in - Return (BetreeListCons (i, x) l, ls1) - | BetreeListNil -> Return (BetreeListNil, BetreeListNil) + Return (Betree_List_Cons (i, x) l, ls1) + | Betree_List_Nil -> Return (Betree_List_Nil, Betree_List_Nil) end -(** [betree_main::betree::Leaf::{3}::split]: forward function *) -let betree_leaf_split_fwd - (self : betree_leaf_t) (content : betree_list_t (u64 & u64)) - (params : betree_params_t) (node_id_cnt : betree_node_id_counter_t) +(** [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) + result (state & betree_Internal_t) = - let* p = - betree_list_split_at_fwd (u64 & u64) content - params.betree_params_split_size in + let* p = betree_List_split_at (u64 & u64) content params.split_size in let (content0, content1) = p in - let* p0 = betree_list_hd_fwd (u64 & u64) content1 in + let* p0 = betree_List_hd (u64 & u64) content1 in let (pivot, _) = p0 in - let* id0 = betree_node_id_counter_fresh_id_fwd node_id_cnt in - let* node_id_cnt0 = betree_node_id_counter_fresh_id_back node_id_cnt in - let* id1 = betree_node_id_counter_fresh_id_fwd node_id_cnt0 in - let* (st0, _) = betree_store_leaf_node_fwd id0 content0 st in - let* (st1, _) = betree_store_leaf_node_fwd id1 content1 st0 in - let n = BetreeNodeLeaf - { betree_leaf_id = id0; betree_leaf_size = params.betree_params_split_size - } in - let n0 = BetreeNodeLeaf - { betree_leaf_id = id1; betree_leaf_size = params.betree_params_split_size - } in - Return (st1, - { - betree_internal_id = self.betree_leaf_id; - betree_internal_pivot = pivot; - betree_internal_left = n; - betree_internal_right = n0 - }) - -(** [betree_main::betree::Leaf::{3}::split]: backward function 0 *) -let betree_leaf_split_back0 - (self : betree_leaf_t) (content : betree_list_t (u64 & u64)) - (params : betree_params_t) (node_id_cnt : betree_node_id_counter_t) + 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_fwd (u64 & u64) content - params.betree_params_split_size in + let* p = betree_List_split_at (u64 & u64) content params.split_size in let (content0, content1) = p in - let* _ = betree_list_hd_fwd (u64 & u64) content1 in - let* id0 = betree_node_id_counter_fresh_id_fwd node_id_cnt in - let* node_id_cnt0 = betree_node_id_counter_fresh_id_back node_id_cnt in - let* id1 = betree_node_id_counter_fresh_id_fwd node_id_cnt0 in - let* (st1, _) = betree_store_leaf_node_fwd id0 content0 st in - let* _ = betree_store_leaf_node_fwd id1 content1 st1 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::Leaf::{3}::split]: backward function 1 *) -let betree_leaf_split_back1 - (self : betree_leaf_t) (content : betree_list_t (u64 & u64)) - (params : betree_params_t) (node_id_cnt : betree_node_id_counter_t) +(** [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_fwd (u64 & u64) content - params.betree_params_split_size in + let* p = betree_List_split_at (u64 & u64) content params.split_size in let (content0, content1) = p in - let* _ = betree_list_hd_fwd (u64 & u64) content1 in - let* id0 = betree_node_id_counter_fresh_id_fwd node_id_cnt in - let* node_id_cnt0 = betree_node_id_counter_fresh_id_back node_id_cnt in - let* id1 = betree_node_id_counter_fresh_id_fwd node_id_cnt0 in - let* (st1, _) = betree_store_leaf_node_fwd id0 content0 st in - let* _ = betree_store_leaf_node_fwd id1 content1 st1 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::Leaf::{3}::split]: backward function 2 *) -let betree_leaf_split_back2 - (self : betree_leaf_t) (content : betree_list_t (u64 & u64)) - (params : betree_params_t) (node_id_cnt : betree_node_id_counter_t) +(** [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_node_id_counter_t) + result (state & betree_NodeIdCounter_t) = - let* p = - betree_list_split_at_fwd (u64 & u64) content - params.betree_params_split_size in + let* p = betree_List_split_at (u64 & u64) content params.split_size in let (content0, content1) = p in - let* _ = betree_list_hd_fwd (u64 & u64) content1 in - let* id0 = betree_node_id_counter_fresh_id_fwd node_id_cnt in - let* node_id_cnt0 = betree_node_id_counter_fresh_id_back node_id_cnt in - let* id1 = betree_node_id_counter_fresh_id_fwd node_id_cnt0 in - let* (st1, _) = betree_store_leaf_node_fwd id0 content0 st in - let* _ = betree_store_leaf_node_fwd id1 content1 st1 in - let* node_id_cnt1 = betree_node_id_counter_fresh_id_back node_id_cnt0 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 + let* node_id_cnt1 = betree_NodeIdCounter_fresh_id_back node_id_cnt0 in Return (st0, node_id_cnt1) -(** [betree_main::betree::Node::{5}::lookup_first_message_for_key]: forward function *) -let rec betree_node_lookup_first_message_for_key_fwd - (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)) +(** [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 - | BetreeListCons x next_msgs -> + | Betree_List_Cons x next_msgs -> let (i, m) = x in if i >= key - then Return (BetreeListCons (i, m) next_msgs) - else betree_node_lookup_first_message_for_key_fwd key next_msgs - | BetreeListNil -> Return BetreeListNil + 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::Node::{5}::lookup_first_message_for_key]: backward function 0 *) -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)) +(** [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 - | BetreeListCons x next_msgs -> + | Betree_List_Cons x next_msgs -> let (i, m) = x in if i >= key then Return ret else let* next_msgs0 = - betree_node_lookup_first_message_for_key_back key next_msgs ret in - Return (BetreeListCons (i, m) next_msgs0) - | BetreeListNil -> Return ret + 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 + 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, i0) = hd in + if i = key + then Return (Some i0) + else if i > key then Return None else betree_Node_lookup_in_bindings key tl + | Betree_List_Nil -> Return None end -(** [betree_main::betree::Node::{5}::apply_upserts]: forward function *) -let rec betree_node_apply_upserts_fwd - (msgs : betree_list_t (u64 & betree_message_t)) (prev : option u64) +(** [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)) + (decreases (betree_Node_apply_upserts_decreases msgs prev key st)) = - let* b = betree_list_head_has_key_fwd betree_message_t msgs key in + let* b = betree_ListTupleU64T_head_has_key betree_Message_t msgs key in if b then - let* msg = betree_list_pop_front_fwd (u64 & betree_message_t) msgs in + let* msg = betree_List_pop_front (u64 & betree_Message_t) msgs in let (_, m) = msg in begin match m with - | BetreeMessageInsert i -> Fail Failure - | BetreeMessageDelete -> Fail Failure - | BetreeMessageUpsert s -> - let* v = betree_upsert_update_fwd prev s in - let* msgs0 = betree_list_pop_front_back (u64 & betree_message_t) msgs in - betree_node_apply_upserts_fwd msgs0 (Some v) key st + | 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 msgs0 (Some v) key st end else - let* (st0, v) = core_option_option_unwrap_fwd u64 prev st in + let* (st0, v) = core_option_Option_unwrap u64 prev st in let* _ = - betree_list_push_front_fwd_back (u64 & betree_message_t) msgs (key, - BetreeMessageInsert v) in + betree_List_push_front (u64 & betree_Message_t) msgs (key, + Betree_Message_Insert v) in Return (st0, v) -(** [betree_main::betree::Node::{5}::apply_upserts]: backward function 0 *) -let rec betree_node_apply_upserts_back - (msgs : betree_list_t (u64 & betree_message_t)) (prev : option u64) +(** [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)) + Tot (result (state & (betree_List_t (u64 & betree_Message_t)))) + (decreases (betree_Node_apply_upserts_decreases msgs prev key st)) = - let* b = betree_list_head_has_key_fwd betree_message_t msgs key in + let* b = betree_ListTupleU64T_head_has_key betree_Message_t msgs key in if b then - let* msg = betree_list_pop_front_fwd (u64 & betree_message_t) msgs in + let* msg = betree_List_pop_front (u64 & betree_Message_t) msgs in let (_, m) = msg in begin match m with - | BetreeMessageInsert i -> Fail Failure - | BetreeMessageDelete -> Fail Failure - | BetreeMessageUpsert s -> - let* v = betree_upsert_update_fwd 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 + | 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_fwd u64 prev st in + let* (_, v) = core_option_Option_unwrap u64 prev st in let* msgs0 = - betree_list_push_front_fwd_back (u64 & betree_message_t) msgs (key, - BetreeMessageInsert v) in + betree_List_push_front (u64 & betree_Message_t) msgs (key, + Betree_Message_Insert v) in Return (st0, msgs0) -(** [betree_main::betree::Node::{5}::lookup_in_bindings]: forward function *) -let rec betree_node_lookup_in_bindings_fwd - (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 - | BetreeListCons hd tl -> - let (i, i0) = hd in - if i = key - then Return (Some i0) - else - if i > key - then Return None - else betree_node_lookup_in_bindings_fwd key tl - | BetreeListNil -> Return None - end - -(** [betree_main::betree::Internal::{4}::lookup_in_children]: forward function *) -let rec betree_internal_lookup_in_children_fwd - (self : betree_internal_t) (key : u64) (st : state) : +(** [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)) + (decreases (betree_Internal_lookup_in_children_decreases self key st)) = - if key < self.betree_internal_pivot - then betree_node_lookup_fwd self.betree_internal_left key st - else betree_node_lookup_fwd self.betree_internal_right key st - -(** [betree_main::betree::Internal::{4}::lookup_in_children]: backward function 0 *) -and betree_internal_lookup_in_children_back - (self : betree_internal_t) (key : u64) (st : state) (st0 : state) : - Tot (result (state & betree_internal_t)) - (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)) + (decreases (betree_Internal_lookup_in_children_decreases self key st)) = - if key < self.betree_internal_pivot + if key < self.pivot then - let* (st1, n) = - betree_node_lookup_back self.betree_internal_left key st st0 in - Return (st1, { self with betree_internal_left = n }) + let* (st1, n) = betree_Node_lookup_back self.left key st st0 in + Return (st1, { self with left = n }) else - let* (st1, n) = - betree_node_lookup_back self.betree_internal_right key st st0 in - Return (st1, { self with betree_internal_right = n }) + let* (st1, n) = betree_Node_lookup_back self.right key st st0 in + Return (st1, { self with right = n }) -(** [betree_main::betree::Node::{5}::lookup]: forward function *) -and betree_node_lookup_fwd - (self : betree_node_t) (key : u64) (st : state) : +(** [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)) + (decreases (betree_Node_lookup_decreases self key st)) = begin match self with - | BetreeNodeInternal node -> - let* (st0, msgs) = betree_load_internal_node_fwd node.betree_internal_id st - in - let* pending = betree_node_lookup_first_message_for_key_fwd key msgs in + | 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 - | BetreeListCons p l -> + | Betree_List_Cons p l -> let (k, msg) = p in if k <> key then - let* (st1, opt) = betree_internal_lookup_in_children_fwd node key st0 - in + let* (st1, o) = betree_Internal_lookup_in_children node key st0 in let* _ = - betree_node_lookup_first_message_for_key_back key msgs - (BetreeListCons (k, msg) l) in - Return (st1, opt) + 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 - | BetreeMessageInsert v -> + | Betree_Message_Insert v -> let* _ = - betree_node_lookup_first_message_for_key_back key msgs - (BetreeListCons (k, BetreeMessageInsert v) l) in + betree_Node_lookup_first_message_for_key_back key msgs + (Betree_List_Cons (k, Betree_Message_Insert v) l) in Return (st0, Some v) - | BetreeMessageDelete -> + | Betree_Message_Delete -> let* _ = - betree_node_lookup_first_message_for_key_back key msgs - (BetreeListCons (k, BetreeMessageDelete) l) in + betree_Node_lookup_first_message_for_key_back key msgs + (Betree_List_Cons (k, Betree_Message_Delete) l) in Return (st0, None) - | BetreeMessageUpsert ufs -> - let* (st1, v) = betree_internal_lookup_in_children_fwd node key st0 - in + | Betree_Message_Upsert ufs -> + let* (st1, v) = betree_Internal_lookup_in_children node key st0 in let* (st2, v0) = - betree_node_apply_upserts_fwd (BetreeListCons (k, - BetreeMessageUpsert ufs) l) v key st1 in + 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 + betree_Internal_lookup_in_children_back node key st0 st2 in let* (st4, pending0) = - betree_node_apply_upserts_back (BetreeListCons (k, - BetreeMessageUpsert ufs) l) v key st1 st3 in + 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_fwd node0.betree_internal_id msgs0 st4 - in + 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 - | BetreeListNil -> - let* (st1, opt) = betree_internal_lookup_in_children_fwd node key st0 in + | 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 BetreeListNil in - Return (st1, opt) + betree_Node_lookup_first_message_for_key_back key msgs Betree_List_Nil + in + Return (st1, o) end - | BetreeNodeLeaf node -> - let* (st0, bindings) = betree_load_leaf_node_fwd node.betree_leaf_id st in - let* opt = betree_node_lookup_in_bindings_fwd key bindings in - Return (st0, opt) + | 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::Node::{5}::lookup]: backward function 0 *) -and betree_node_lookup_back - (self : betree_node_t) (key : u64) (st : state) (st0 : state) : - Tot (result (state & betree_node_t)) - (decreases (betree_node_lookup_decreases self key st)) +(** [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)) + (decreases (betree_Node_lookup_decreases self key st)) = begin match self with - | BetreeNodeInternal node -> - let* (st1, msgs) = betree_load_internal_node_fwd node.betree_internal_id st - in - let* pending = betree_node_lookup_first_message_for_key_fwd key msgs in + | 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 - | BetreeListCons p l -> + | 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 - (BetreeListCons (k, msg) l) in + 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, BetreeNodeInternal node0) + betree_Internal_lookup_in_children_back node key st1 st0 in + Return (st2, Betree_Node_Internal node0) else begin match msg with - | BetreeMessageInsert v -> + | Betree_Message_Insert v -> let* _ = - betree_node_lookup_first_message_for_key_back key msgs - (BetreeListCons (k, BetreeMessageInsert v) l) in - Return (st0, BetreeNodeInternal node) - | BetreeMessageDelete -> + 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) + | Betree_Message_Delete -> let* _ = - betree_node_lookup_first_message_for_key_back key msgs - (BetreeListCons (k, BetreeMessageDelete) l) in - Return (st0, BetreeNodeInternal node) - | BetreeMessageUpsert ufs -> - let* (st2, v) = betree_internal_lookup_in_children_fwd node key st1 - in + 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) + | Betree_Message_Upsert ufs -> + let* (st2, v) = betree_Internal_lookup_in_children node key st1 in let* (st3, _) = - betree_node_apply_upserts_fwd (BetreeListCons (k, - BetreeMessageUpsert ufs) l) v key st2 in + 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 + betree_Internal_lookup_in_children_back node key st1 st3 in let* (st5, pending0) = - betree_node_apply_upserts_back (BetreeListCons (k, - BetreeMessageUpsert ufs) l) v key st2 st4 in + 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_fwd node0.betree_internal_id msgs0 st5 - in - Return (st0, BetreeNodeInternal node0) + 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) end - | BetreeListNil -> + | Betree_List_Nil -> let* _ = - betree_node_lookup_first_message_for_key_back key msgs BetreeListNil in + 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, BetreeNodeInternal node0) + betree_Internal_lookup_in_children_back node key st1 st0 in + Return (st2, Betree_Node_Internal node0) end - | BetreeNodeLeaf node -> - let* (_, bindings) = betree_load_leaf_node_fwd node.betree_leaf_id st in - let* _ = betree_node_lookup_in_bindings_fwd key bindings in - Return (st0, BetreeNodeLeaf node) + | 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) end -(** [betree_main::betree::Node::{5}::filter_messages_for_key]: merged forward/backward function - (there is a single backward function, and the forward function returns ()) *) -let rec betree_node_filter_messages_for_key_fwd_back - (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)) +(** [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 - | BetreeListCons p l -> + | Betree_List_Cons p l -> let (k, m) = p in if k = key then let* msgs0 = - betree_list_pop_front_back (u64 & betree_message_t) (BetreeListCons (k, - m) l) in - betree_node_filter_messages_for_key_fwd_back key msgs0 - else Return (BetreeListCons (k, m) l) - | BetreeListNil -> Return BetreeListNil + betree_List_pop_front_back (u64 & betree_Message_t) (Betree_List_Cons + (k, m) l) in + betree_Node_filter_messages_for_key key msgs0 + else Return (Betree_List_Cons (k, m) l) + | Betree_List_Nil -> Return Betree_List_Nil end -(** [betree_main::betree::Node::{5}::lookup_first_message_after_key]: forward function *) -let rec betree_node_lookup_first_message_after_key_fwd - (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)) +(** [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 - | BetreeListCons p next_msgs -> + | Betree_List_Cons p next_msgs -> let (k, m) = p in if k = key - then betree_node_lookup_first_message_after_key_fwd key next_msgs - else Return (BetreeListCons (k, m) next_msgs) - | BetreeListNil -> Return BetreeListNil + 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::Node::{5}::lookup_first_message_after_key]: backward function 0 *) -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)) +(** [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 - | BetreeListCons p next_msgs -> + | Betree_List_Cons p next_msgs -> 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 (BetreeListCons (k, m) 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 - | BetreeListNil -> Return ret + | Betree_List_Nil -> Return ret end -(** [betree_main::betree::Node::{5}::apply_to_internal]: merged forward/backward function - (there is a single backward function, and the forward function returns ()) *) -let betree_node_apply_to_internal_fwd_back - (msgs : betree_list_t (u64 & betree_message_t)) (key : u64) - (new_msg : betree_message_t) : - result (betree_list_t (u64 & betree_message_t)) +(** [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* msgs0 = betree_node_lookup_first_message_for_key_fwd key msgs in - let* b = betree_list_head_has_key_fwd betree_message_t msgs0 key in + 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 if b then begin match new_msg with - | BetreeMessageInsert i -> - let* msgs1 = betree_node_filter_messages_for_key_fwd_back key msgs0 in + | Betree_Message_Insert i -> + let* msgs1 = betree_Node_filter_messages_for_key key msgs0 in let* msgs2 = - betree_list_push_front_fwd_back (u64 & betree_message_t) msgs1 (key, - BetreeMessageInsert i) in - betree_node_lookup_first_message_for_key_back key msgs msgs2 - | BetreeMessageDelete -> - let* msgs1 = betree_node_filter_messages_for_key_fwd_back key msgs0 in + betree_List_push_front (u64 & betree_Message_t) msgs1 (key, + Betree_Message_Insert i) in + betree_Node_lookup_first_message_for_key_back key msgs msgs2 + | Betree_Message_Delete -> + let* msgs1 = betree_Node_filter_messages_for_key key msgs0 in let* msgs2 = - betree_list_push_front_fwd_back (u64 & betree_message_t) msgs1 (key, - BetreeMessageDelete) in - betree_node_lookup_first_message_for_key_back key msgs msgs2 - | BetreeMessageUpsert s -> - let* p = betree_list_hd_fwd (u64 & betree_message_t) msgs0 in + betree_List_push_front (u64 & betree_Message_t) msgs1 (key, + Betree_Message_Delete) in + betree_Node_lookup_first_message_for_key_back key msgs msgs2 + | Betree_Message_Upsert s -> + let* p = betree_List_hd (u64 & betree_Message_t) msgs0 in let (_, m) = p in begin match m with - | BetreeMessageInsert prev -> - let* v = betree_upsert_update_fwd (Some prev) s in - let* msgs1 = betree_list_pop_front_back (u64 & betree_message_t) msgs0 + | 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_fwd_back (u64 & betree_message_t) msgs1 (key, - BetreeMessageInsert v) in - betree_node_lookup_first_message_for_key_back key msgs msgs2 - | BetreeMessageDelete -> - let* v = betree_upsert_update_fwd None s in - let* msgs1 = betree_list_pop_front_back (u64 & betree_message_t) msgs0 + betree_List_push_front (u64 & betree_Message_t) msgs1 (key, + Betree_Message_Insert v) in + betree_Node_lookup_first_message_for_key_back key msgs msgs2 + | Betree_Message_Delete -> + 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_fwd_back (u64 & betree_message_t) msgs1 (key, - BetreeMessageInsert v) in - betree_node_lookup_first_message_for_key_back key msgs msgs2 - | BetreeMessageUpsert ufs -> - let* msgs1 = betree_node_lookup_first_message_after_key_fwd key msgs0 - in + betree_List_push_front (u64 & betree_Message_t) msgs1 (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_fwd_back (u64 & betree_message_t) msgs1 (key, - BetreeMessageUpsert s) in + betree_List_push_front (u64 & betree_Message_t) msgs1 (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 + betree_Node_lookup_first_message_after_key_back key msgs0 msgs2 in + betree_Node_lookup_first_message_for_key_back key msgs msgs3 end end else let* msgs1 = - betree_list_push_front_fwd_back (u64 & betree_message_t) msgs0 (key, - new_msg) in - betree_node_lookup_first_message_for_key_back key msgs msgs1 - -(** [betree_main::betree::Node::{5}::apply_messages_to_internal]: merged forward/backward function - (there is a single backward function, and the forward function returns ()) *) -let rec betree_node_apply_messages_to_internal_fwd_back - (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)) + betree_List_push_front (u64 & betree_Message_t) msgs0 (key, new_msg) in + betree_Node_lookup_first_message_for_key_back key msgs msgs1 + +(** [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 - | BetreeListCons new_msg new_msgs_tl -> + | Betree_List_Cons new_msg new_msgs_tl -> let (i, m) = new_msg in - let* msgs0 = betree_node_apply_to_internal_fwd_back msgs i m in - betree_node_apply_messages_to_internal_fwd_back msgs0 new_msgs_tl - | BetreeListNil -> Return msgs + let* msgs0 = betree_Node_apply_to_internal msgs i m in + betree_Node_apply_messages_to_internal msgs0 new_msgs_tl + | Betree_List_Nil -> Return msgs end -(** [betree_main::betree::Node::{5}::lookup_mut_in_bindings]: forward function *) -let rec betree_node_lookup_mut_in_bindings_fwd - (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)) +(** [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 - | BetreeListCons hd tl -> + | Betree_List_Cons hd tl -> let (i, i0) = hd in if i >= key - then Return (BetreeListCons (i, i0) tl) - else betree_node_lookup_mut_in_bindings_fwd key tl - | BetreeListNil -> Return BetreeListNil + 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::Node::{5}::lookup_mut_in_bindings]: backward function 0 *) -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)) +(** [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 - | BetreeListCons hd tl -> + | Betree_List_Cons hd tl -> let (i, i0) = hd in if i >= key then Return ret else - let* tl0 = betree_node_lookup_mut_in_bindings_back key tl ret in - Return (BetreeListCons (i, i0) tl0) - | BetreeListNil -> Return ret + 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 end -(** [betree_main::betree::Node::{5}::apply_to_leaf]: merged forward/backward function - (there is a single backward function, and the forward function returns ()) *) -let betree_node_apply_to_leaf_fwd_back - (bindings : betree_list_t (u64 & u64)) (key : u64) - (new_msg : betree_message_t) : - result (betree_list_t (u64 & u64)) +(** [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* bindings0 = betree_node_lookup_mut_in_bindings_fwd key bindings in - let* b = betree_list_head_has_key_fwd u64 bindings0 key in + let* bindings0 = betree_Node_lookup_mut_in_bindings key bindings in + let* b = betree_ListTupleU64T_head_has_key u64 bindings0 key in if b then - let* hd = betree_list_pop_front_fwd (u64 & u64) bindings0 in + let* hd = betree_List_pop_front (u64 & u64) bindings0 in begin match new_msg with - | BetreeMessageInsert v -> - let* bindings1 = betree_list_pop_front_back (u64 & u64) bindings0 in - let* bindings2 = - betree_list_push_front_fwd_back (u64 & u64) bindings1 (key, v) in - betree_node_lookup_mut_in_bindings_back key bindings bindings2 - | BetreeMessageDelete -> - let* bindings1 = betree_list_pop_front_back (u64 & u64) bindings0 in - betree_node_lookup_mut_in_bindings_back key bindings bindings1 - | BetreeMessageUpsert s -> + | 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 + | Betree_Message_Upsert s -> let (_, i) = hd in - let* v = betree_upsert_update_fwd (Some i) s in - let* bindings1 = betree_list_pop_front_back (u64 & u64) bindings0 in - let* bindings2 = - betree_list_push_front_fwd_back (u64 & u64) bindings1 (key, v) in - betree_node_lookup_mut_in_bindings_back key bindings bindings2 + 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 end else begin match new_msg with - | BetreeMessageInsert v -> - let* bindings1 = - betree_list_push_front_fwd_back (u64 & u64) bindings0 (key, v) in - betree_node_lookup_mut_in_bindings_back key bindings bindings1 - | BetreeMessageDelete -> - betree_node_lookup_mut_in_bindings_back key bindings bindings0 - | BetreeMessageUpsert s -> - let* v = betree_upsert_update_fwd None s in - let* bindings1 = - betree_list_push_front_fwd_back (u64 & u64) bindings0 (key, v) in - betree_node_lookup_mut_in_bindings_back key bindings bindings1 + | 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 + | 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 end -(** [betree_main::betree::Node::{5}::apply_messages_to_leaf]: merged forward/backward function - (there is a single backward function, and the forward function returns ()) *) -let rec betree_node_apply_messages_to_leaf_fwd_back - (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)) +(** [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 - | BetreeListCons new_msg new_msgs_tl -> + | Betree_List_Cons new_msg new_msgs_tl -> let (i, m) = new_msg in - let* bindings0 = betree_node_apply_to_leaf_fwd_back bindings i m in - betree_node_apply_messages_to_leaf_fwd_back bindings0 new_msgs_tl - | BetreeListNil -> Return bindings + let* bindings0 = betree_Node_apply_to_leaf bindings i m in + betree_Node_apply_messages_to_leaf bindings0 new_msgs_tl + | Betree_List_Nil -> Return bindings end -(** [betree_main::betree::Internal::{4}::flush]: forward function *) -let rec betree_internal_flush_fwd - (self : betree_internal_t) (params : betree_params_t) - (node_id_cnt : betree_node_id_counter_t) - (content : betree_list_t (u64 & betree_message_t)) (st : state) : - Tot (result (state & (betree_list_t (u64 & betree_message_t)))) +(** [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)) + betree_Internal_flush_decreases self params node_id_cnt content st)) = let* p = - betree_list_partition_at_pivot_fwd betree_message_t content - self.betree_internal_pivot in + 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_fwd (u64 & betree_message_t) msgs_left in - if len_left >= params.betree_params_min_flush_size + 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_fwd self.betree_internal_left params - node_id_cnt msgs_left st in + 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.betree_internal_left params - node_id_cnt msgs_left st st0 in + 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.betree_internal_left params - node_id_cnt msgs_left st st1 in - let* len_right = betree_list_len_fwd (u64 & betree_message_t) msgs_right in - if len_right >= params.betree_params_min_flush_size + betree_Node_apply_messages_back1 self.left params node_id_cnt msgs_left + st st1 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_fwd self.betree_internal_right params - node_id_cnt0 msgs_right st2 in + betree_Node_apply_messages self.right params node_id_cnt0 msgs_right + st2 in let* (st4, (_, _)) = - betree_node_apply_messages_back'a self.betree_internal_right params - node_id_cnt0 msgs_right st2 st3 in + 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.betree_internal_right params - node_id_cnt0 msgs_right st2 st4 in - Return (st5, BetreeListNil) + 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) else let* (st0, _) = - betree_node_apply_messages_fwd self.betree_internal_right params - node_id_cnt msgs_right st in + betree_Node_apply_messages self.right params node_id_cnt msgs_right st in let* (st1, (_, _)) = - betree_node_apply_messages_back'a self.betree_internal_right params - node_id_cnt msgs_right st st0 in + 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.betree_internal_right params - node_id_cnt msgs_right st st1 in + betree_Node_apply_messages_back1 self.right params node_id_cnt msgs_right + st st1 in Return (st2, msgs_left) -(** [betree_main::betree::Internal::{4}::flush]: backward function 0 *) -and betree_internal_flush_back'a - (self : betree_internal_t) (params : betree_params_t) - (node_id_cnt : betree_node_id_counter_t) - (content : betree_list_t (u64 & betree_message_t)) (st : state) (st0 : state) +(** [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_node_id_counter_t))) + Tot (result (state & (betree_Internal_t & betree_NodeIdCounter_t))) (decreases ( - betree_internal_flush_decreases self params node_id_cnt content st)) + betree_Internal_flush_decreases self params node_id_cnt content st)) = let* p = - betree_list_partition_at_pivot_fwd betree_message_t content - self.betree_internal_pivot in + 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_fwd (u64 & betree_message_t) msgs_left in - if len_left >= params.betree_params_min_flush_size + 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_fwd self.betree_internal_left params - node_id_cnt msgs_left st in + 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.betree_internal_left params - node_id_cnt msgs_left st st1 in + 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.betree_internal_left params - node_id_cnt msgs_left st st2 in - let* len_right = betree_list_len_fwd (u64 & betree_message_t) msgs_right in - if len_right >= params.betree_params_min_flush_size + 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_fwd self.betree_internal_right params - node_id_cnt0 msgs_right st3 in + 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.betree_internal_right params - node_id_cnt0 msgs_right st3 st4 in + betree_Node_apply_messages_back'a self.right params node_id_cnt0 + msgs_right st3 st4 in let* _ = - betree_node_apply_messages_back1 self.betree_internal_right params - node_id_cnt0 msgs_right st3 st5 in - Return (st0, - ({ self with betree_internal_left = n; betree_internal_right = n0 }, - node_id_cnt1)) - else Return (st0, ({ self with betree_internal_left = n }, node_id_cnt0)) + 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_fwd self.betree_internal_right params - node_id_cnt msgs_right st in + 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.betree_internal_right params - node_id_cnt msgs_right st st1 in + betree_Node_apply_messages_back'a self.right params node_id_cnt + msgs_right st st1 in let* _ = - betree_node_apply_messages_back1 self.betree_internal_right params - node_id_cnt msgs_right st st2 in - Return (st0, ({ self with betree_internal_right = n }, node_id_cnt0)) - -(** [betree_main::betree::Internal::{4}::flush]: backward function 1 *) -and betree_internal_flush_back1 - (self : betree_internal_t) (params : betree_params_t) - (node_id_cnt : betree_node_id_counter_t) - (content : betree_list_t (u64 & betree_message_t)) (st : state) (st0 : state) + 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)) + betree_Internal_flush_decreases self params node_id_cnt content st)) = let* p = - betree_list_partition_at_pivot_fwd betree_message_t content - self.betree_internal_pivot in + 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_fwd (u64 & betree_message_t) msgs_left in - if len_left >= params.betree_params_min_flush_size + 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_fwd self.betree_internal_left params - node_id_cnt msgs_left st in + 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.betree_internal_left params - node_id_cnt msgs_left st st1 in + 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.betree_internal_left params - node_id_cnt msgs_left st st2 in - let* len_right = betree_list_len_fwd (u64 & betree_message_t) msgs_right in - if len_right >= params.betree_params_min_flush_size + 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_fwd self.betree_internal_right params - node_id_cnt0 msgs_right st3 in + betree_Node_apply_messages self.right params node_id_cnt0 msgs_right + st3 in let* (st5, (_, _)) = - betree_node_apply_messages_back'a self.betree_internal_right params - node_id_cnt0 msgs_right st3 st4 in + betree_Node_apply_messages_back'a self.right params node_id_cnt0 + msgs_right st3 st4 in let* _ = - betree_node_apply_messages_back1 self.betree_internal_right params - node_id_cnt0 msgs_right st3 st5 in + 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_fwd self.betree_internal_right params - node_id_cnt msgs_right st in + betree_Node_apply_messages self.right params node_id_cnt msgs_right st in let* (st2, (_, _)) = - betree_node_apply_messages_back'a self.betree_internal_right params - node_id_cnt msgs_right st st1 in + betree_Node_apply_messages_back'a self.right params node_id_cnt + msgs_right st st1 in let* _ = - betree_node_apply_messages_back1 self.betree_internal_right params - node_id_cnt msgs_right st st2 in + betree_Node_apply_messages_back1 self.right params node_id_cnt msgs_right + st st2 in Return (st0, ()) -(** [betree_main::betree::Node::{5}::apply_messages]: forward function *) -and betree_node_apply_messages_fwd - (self : betree_node_t) (params : betree_params_t) - (node_id_cnt : betree_node_id_counter_t) - (msgs : betree_list_t (u64 & betree_message_t)) (st : state) : +(** [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)) + betree_Node_apply_messages_decreases self params node_id_cnt msgs st)) = begin match self with - | BetreeNodeInternal node -> - let* (st0, content) = - betree_load_internal_node_fwd node.betree_internal_id st in - let* content0 = - betree_node_apply_messages_to_internal_fwd_back content msgs in - let* num_msgs = betree_list_len_fwd (u64 & betree_message_t) content0 in - if num_msgs >= params.betree_params_min_flush_size + | 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_fwd node params node_id_cnt content0 st0 in + 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 + betree_Internal_flush_back'a node params node_id_cnt content0 st0 st1 in - let* (st3, _) = - betree_store_internal_node_fwd node0.betree_internal_id content1 st2 in + let* (st3, _) = betree_store_internal_node node0.id content1 st2 in Return (st3, ()) else - let* (st1, _) = - betree_store_internal_node_fwd node.betree_internal_id content0 st0 in + let* (st1, _) = betree_store_internal_node node.id content0 st0 in Return (st1, ()) - | BetreeNodeLeaf node -> - let* (st0, content) = betree_load_leaf_node_fwd node.betree_leaf_id st in - let* content0 = betree_node_apply_messages_to_leaf_fwd_back content msgs in - let* len = betree_list_len_fwd (u64 & u64) content0 in - let* i = u64_mul 2 params.betree_params_split_size in + | 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_fwd node content0 params node_id_cnt st0 in - let* (st2, _) = - betree_store_leaf_node_fwd node.betree_leaf_id BetreeListNil st1 in - betree_leaf_split_back0 node content0 params node_id_cnt st0 st2 + 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_fwd node.betree_leaf_id content0 st0 in + let* (st1, _) = betree_store_leaf_node node.id content0 st0 in Return (st1, ()) end -(** [betree_main::betree::Node::{5}::apply_messages]: backward function 0 *) -and betree_node_apply_messages_back'a - (self : betree_node_t) (params : betree_params_t) - (node_id_cnt : betree_node_id_counter_t) - (msgs : betree_list_t (u64 & betree_message_t)) (st : state) (st0 : state) : - Tot (result (state & (betree_node_t & betree_node_id_counter_t))) +(** [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)) + betree_Node_apply_messages_decreases self params node_id_cnt msgs st)) = begin match self with - | BetreeNodeInternal node -> - let* (st1, content) = - betree_load_internal_node_fwd node.betree_internal_id st in - let* content0 = - betree_node_apply_messages_to_internal_fwd_back content msgs in - let* num_msgs = betree_list_len_fwd (u64 & betree_message_t) content0 in - if num_msgs >= params.betree_params_min_flush_size + | 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_fwd node params node_id_cnt content0 st1 in + 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 + betree_Internal_flush_back'a node params node_id_cnt content0 st1 st2 in - let* _ = - betree_store_internal_node_fwd node0.betree_internal_id content1 st3 in - Return (st0, (BetreeNodeInternal node0, node_id_cnt0)) + 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_fwd node.betree_internal_id content0 st1 in - Return (st0, (BetreeNodeInternal node, node_id_cnt)) - | BetreeNodeLeaf node -> - let* (st1, content) = betree_load_leaf_node_fwd node.betree_leaf_id st in - let* content0 = betree_node_apply_messages_to_leaf_fwd_back content msgs in - let* len = betree_list_len_fwd (u64 & u64) content0 in - let* i = u64_mul 2 params.betree_params_split_size in + 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_fwd node content0 params node_id_cnt st1 in - let* (st3, _) = - betree_store_leaf_node_fwd node.betree_leaf_id BetreeListNil st2 in - let* _ = betree_leaf_split_back0 node content0 params node_id_cnt st1 st3 + 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, (BetreeNodeInternal new_node, 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_fwd node.betree_leaf_id content0 st1 in - Return (st0, (BetreeNodeLeaf { node with betree_leaf_size = len }, - node_id_cnt)) + 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::Node::{5}::apply_messages]: backward function 1 *) -and betree_node_apply_messages_back1 - (self : betree_node_t) (params : betree_params_t) - (node_id_cnt : betree_node_id_counter_t) - (msgs : betree_list_t (u64 & betree_message_t)) (st : state) (st0 : state) : +(** [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)) + betree_Node_apply_messages_decreases self params node_id_cnt msgs st)) = begin match self with - | BetreeNodeInternal node -> - let* (st1, content) = - betree_load_internal_node_fwd node.betree_internal_id st in - let* content0 = - betree_node_apply_messages_to_internal_fwd_back content msgs in - let* num_msgs = betree_list_len_fwd (u64 & betree_message_t) content0 in - if num_msgs >= params.betree_params_min_flush_size + | 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_fwd node params node_id_cnt content0 st1 in + 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 + betree_Internal_flush_back'a node params node_id_cnt content0 st1 st2 in - let* _ = - betree_store_internal_node_fwd node0.betree_internal_id content1 st3 in - betree_internal_flush_back1 node params node_id_cnt content0 st1 st0 + let* _ = betree_store_internal_node node0.id content1 st3 in + betree_Internal_flush_back1 node params node_id_cnt content0 st1 st0 else - let* _ = - betree_store_internal_node_fwd node.betree_internal_id content0 st1 in + let* _ = betree_store_internal_node node.id content0 st1 in Return (st0, ()) - | BetreeNodeLeaf node -> - let* (st1, content) = betree_load_leaf_node_fwd node.betree_leaf_id st in - let* content0 = betree_node_apply_messages_to_leaf_fwd_back content msgs in - let* len = betree_list_len_fwd (u64 & u64) content0 in - let* i = u64_mul 2 params.betree_params_split_size in + | 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, _) = - betree_leaf_split_fwd node content0 params node_id_cnt st1 in - let* (st3, _) = - betree_store_leaf_node_fwd node.betree_leaf_id BetreeListNil st2 in - let* _ = betree_leaf_split_back0 node content0 params node_id_cnt st1 st3 + let* (st2, _) = 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 - betree_leaf_split_back1 node content0 params node_id_cnt st1 st0 + betree_Leaf_split_back1 node content0 params node_id_cnt st1 st0 else - let* _ = betree_store_leaf_node_fwd node.betree_leaf_id content0 st1 in - Return (st0, ()) + let* _ = betree_store_leaf_node node.id content0 st1 in Return (st0, ()) end -(** [betree_main::betree::Node::{5}::apply]: forward function *) -let betree_node_apply_fwd - (self : betree_node_t) (params : betree_params_t) - (node_id_cnt : betree_node_id_counter_t) (key : u64) - (new_msg : betree_message_t) (st : state) : +(** [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 l = BetreeListNil in + let l = Betree_List_Nil in let* (st0, _) = - betree_node_apply_messages_fwd self params node_id_cnt (BetreeListCons - (key, new_msg) l) st in + 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 (BetreeListCons + 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 (BetreeListCons + betree_Node_apply_messages_back1 self params node_id_cnt (Betree_List_Cons (key, new_msg) l) st st1 -(** [betree_main::betree::Node::{5}::apply]: backward function 0 *) -let betree_node_apply_back'a - (self : betree_node_t) (params : betree_params_t) - (node_id_cnt : betree_node_id_counter_t) (key : u64) - (new_msg : betree_message_t) (st : state) (st0 : state) : - result (state & (betree_node_t & betree_node_id_counter_t)) +(** [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 = BetreeListNil in + let l = Betree_List_Nil in let* (st1, _) = - betree_node_apply_messages_fwd self params node_id_cnt (BetreeListCons - (key, new_msg) l) st in + 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 (BetreeListCons + 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 (BetreeListCons + 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)) -(** [betree_main::betree::Node::{5}::apply]: backward function 1 *) -let betree_node_apply_back1 - (self : betree_node_t) (params : betree_params_t) - (node_id_cnt : betree_node_id_counter_t) (key : u64) - (new_msg : betree_message_t) (st : state) (st0 : state) : +(** [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 = BetreeListNil in + let l = Betree_List_Nil in let* (st1, _) = - betree_node_apply_messages_fwd self params node_id_cnt (BetreeListCons - (key, new_msg) l) st in + 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 (BetreeListCons + 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 (BetreeListCons + 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::{6}::new]: forward function *) -let betree_be_tree_new_fwd +(** [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_be_tree_t) + result (state & betree_BeTree_t) = - let* node_id_cnt = betree_node_id_counter_new_fwd in - let* id = betree_node_id_counter_fresh_id_fwd node_id_cnt in - let* (st0, _) = betree_store_leaf_node_fwd id BetreeListNil st in - let* node_id_cnt0 = betree_node_id_counter_fresh_id_back node_id_cnt in + 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, { - betree_be_tree_params = - { - betree_params_min_flush_size = min_flush_size; - betree_params_split_size = split_size - }; - betree_be_tree_node_id_cnt = node_id_cnt0; - betree_be_tree_root = - (BetreeNodeLeaf { betree_leaf_id = id; betree_leaf_size = 0 }) + 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 }) }) -(** [betree_main::betree::BeTree::{6}::apply]: forward function *) -let betree_be_tree_apply_fwd - (self : betree_be_tree_t) (key : u64) (msg : betree_message_t) (st : state) : +(** [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* (st0, _) = - betree_node_apply_fwd self.betree_be_tree_root self.betree_be_tree_params - self.betree_be_tree_node_id_cnt key msg st in + betree_Node_apply self.root self.params self.node_id_cnt key msg st in let* (st1, (_, _)) = - betree_node_apply_back'a self.betree_be_tree_root - self.betree_be_tree_params self.betree_be_tree_node_id_cnt key msg st st0 - in - betree_node_apply_back1 self.betree_be_tree_root self.betree_be_tree_params - self.betree_be_tree_node_id_cnt key msg st st1 - -(** [betree_main::betree::BeTree::{6}::apply]: backward function 0 *) -let betree_be_tree_apply_back - (self : betree_be_tree_t) (key : u64) (msg : betree_message_t) (st : state) + 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_be_tree_t) + result (state & betree_BeTree_t) = let* (st1, _) = - betree_node_apply_fwd self.betree_be_tree_root self.betree_be_tree_params - self.betree_be_tree_node_id_cnt key msg st in + 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.betree_be_tree_root - self.betree_be_tree_params self.betree_be_tree_node_id_cnt key msg st st1 - in + betree_Node_apply_back'a self.root self.params self.node_id_cnt key msg st + st1 in let* _ = - betree_node_apply_back1 self.betree_be_tree_root self.betree_be_tree_params - self.betree_be_tree_node_id_cnt key msg st st2 in - Return (st0, - { self with betree_be_tree_node_id_cnt = nic; betree_be_tree_root = n }) - -(** [betree_main::betree::BeTree::{6}::insert]: forward function *) -let betree_be_tree_insert_fwd - (self : betree_be_tree_t) (key : u64) (value : u64) (st : state) : + 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 }) + +(** [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* (st0, _) = - betree_be_tree_apply_fwd self key (BetreeMessageInsert value) st in + let* (st0, _) = betree_BeTree_apply self key (Betree_Message_Insert value) st + in let* (st1, _) = - betree_be_tree_apply_back self key (BetreeMessageInsert value) st st0 in + betree_BeTree_apply_back self key (Betree_Message_Insert value) st st0 in Return (st1, ()) -(** [betree_main::betree::BeTree::{6}::insert]: backward function 0 *) -let betree_be_tree_insert_back - (self : betree_be_tree_t) (key : u64) (value : u64) (st : state) - (st0 : state) : - result (state & betree_be_tree_t) +(** [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_be_tree_apply_fwd self key (BetreeMessageInsert value) st in + let* (st1, _) = betree_BeTree_apply self key (Betree_Message_Insert value) st + in let* (_, self0) = - betree_be_tree_apply_back self key (BetreeMessageInsert value) st st1 in + betree_BeTree_apply_back self key (Betree_Message_Insert value) st st1 in Return (st0, self0) -(** [betree_main::betree::BeTree::{6}::delete]: forward function *) -let betree_be_tree_delete_fwd - (self : betree_be_tree_t) (key : u64) (st : state) : result (state & unit) = - let* (st0, _) = betree_be_tree_apply_fwd self key BetreeMessageDelete st in - let* (st1, _) = betree_be_tree_apply_back self key BetreeMessageDelete st st0 - in +(** [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* (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::{6}::delete]: backward function 0 *) -let betree_be_tree_delete_back - (self : betree_be_tree_t) (key : u64) (st : state) (st0 : state) : - result (state & betree_be_tree_t) +(** [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) : + result (state & betree_BeTree_t) = - let* (st1, _) = betree_be_tree_apply_fwd self key BetreeMessageDelete st in + let* (st1, _) = betree_BeTree_apply self key Betree_Message_Delete st in let* (_, self0) = - betree_be_tree_apply_back self key BetreeMessageDelete st st1 in + betree_BeTree_apply_back self key Betree_Message_Delete st st1 in Return (st0, self0) -(** [betree_main::betree::BeTree::{6}::upsert]: forward function *) -let betree_be_tree_upsert_fwd - (self : betree_be_tree_t) (key : u64) (upd : betree_upsert_fun_state_t) +(** [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* (st0, _) = - betree_be_tree_apply_fwd self key (BetreeMessageUpsert upd) st in + let* (st0, _) = betree_BeTree_apply self key (Betree_Message_Upsert upd) st + in let* (st1, _) = - betree_be_tree_apply_back self key (BetreeMessageUpsert upd) st st0 in + betree_BeTree_apply_back self key (Betree_Message_Upsert upd) st st0 in Return (st1, ()) -(** [betree_main::betree::BeTree::{6}::upsert]: backward function 0 *) -let betree_be_tree_upsert_back - (self : betree_be_tree_t) (key : u64) (upd : betree_upsert_fun_state_t) +(** [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_be_tree_t) + result (state & betree_BeTree_t) = - let* (st1, _) = - betree_be_tree_apply_fwd self key (BetreeMessageUpsert upd) st in + let* (st1, _) = betree_BeTree_apply self key (Betree_Message_Upsert upd) st + in let* (_, self0) = - betree_be_tree_apply_back self key (BetreeMessageUpsert upd) st st1 in + betree_BeTree_apply_back self key (Betree_Message_Upsert upd) st st1 in Return (st0, self0) -(** [betree_main::betree::BeTree::{6}::lookup]: forward function *) -let betree_be_tree_lookup_fwd - (self : betree_be_tree_t) (key : u64) (st : state) : +(** [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_fwd self.betree_be_tree_root key st + betree_Node_lookup self.root key st -(** [betree_main::betree::BeTree::{6}::lookup]: backward function 0 *) -let betree_be_tree_lookup_back - (self : betree_be_tree_t) (key : u64) (st : state) (st0 : state) : - result (state & betree_be_tree_t) +(** [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) = - let* (st1, n) = betree_node_lookup_back self.betree_be_tree_root key st st0 - in - Return (st1, { self with betree_be_tree_root = n }) + let* (st1, n) = betree_Node_lookup_back self.root key st st0 in + Return (st1, { self with root = n }) -(** [betree_main::main]: forward function *) -let main_fwd : result unit = +(** [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_fwd = Return ()) +let _ = assert_norm (main = Return ()) diff --git a/tests/fstar/betree_back_stateful/BetreeMain.FunsExternal.fsti b/tests/fstar/betree_back_stateful/BetreeMain.FunsExternal.fsti new file mode 100644 index 00000000..cd2f956f --- /dev/null +++ b/tests/fstar/betree_back_stateful/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/betree_back_stateful/BetreeMain.Opaque.fsti b/tests/fstar/betree_back_stateful/BetreeMain.Opaque.fsti deleted file mode 100644 index c33cf225..00000000 --- a/tests/fstar/betree_back_stateful/BetreeMain.Opaque.fsti +++ /dev/null @@ -1,30 +0,0 @@ -(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *) -(** [betree_main]: external function declarations *) -module BetreeMain.Opaque -open Primitives -include BetreeMain.Types - -#set-options "--z3rlimit 50 --fuel 1 --ifuel 1" - -(** [betree_main::betree_utils::load_internal_node]: forward function *) -val betree_utils_load_internal_node_fwd - : u64 -> state -> result (state & (betree_list_t (u64 & betree_message_t))) - -(** [betree_main::betree_utils::store_internal_node]: forward function *) -val betree_utils_store_internal_node_fwd - : - u64 -> betree_list_t (u64 & betree_message_t) -> state -> result (state & - unit) - -(** [betree_main::betree_utils::load_leaf_node]: forward function *) -val betree_utils_load_leaf_node_fwd - : u64 -> state -> result (state & (betree_list_t (u64 & u64))) - -(** [betree_main::betree_utils::store_leaf_node]: forward function *) -val betree_utils_store_leaf_node_fwd - : u64 -> betree_list_t (u64 & u64) -> state -> result (state & unit) - -(** [core::option::Option::{0}::unwrap]: forward function *) -val core_option_option_unwrap_fwd - (t : Type0) : option t -> state -> result (state & t) - diff --git a/tests/fstar/betree_back_stateful/BetreeMain.Types.fst b/tests/fstar/betree_back_stateful/BetreeMain.Types.fst new file mode 100644 index 00000000..b87219b2 --- /dev/null +++ b/tests/fstar/betree_back_stateful/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/betree_back_stateful/BetreeMain.Types.fsti b/tests/fstar/betree_back_stateful/BetreeMain.Types.fsti deleted file mode 100644 index a937c726..00000000 --- a/tests/fstar/betree_back_stateful/BetreeMain.Types.fsti +++ /dev/null @@ -1,60 +0,0 @@ -(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *) -(** [betree_main]: type definitions *) -module BetreeMain.Types -open Primitives - -#set-options "--z3rlimit 50 --fuel 1 --ifuel 1" - -(** [betree_main::betree::List] *) -type betree_list_t (t : Type0) = -| BetreeListCons : t -> betree_list_t t -> betree_list_t t -| BetreeListNil : betree_list_t t - -(** [betree_main::betree::UpsertFunState] *) -type betree_upsert_fun_state_t = -| BetreeUpsertFunStateAdd : u64 -> betree_upsert_fun_state_t -| BetreeUpsertFunStateSub : u64 -> betree_upsert_fun_state_t - -(** [betree_main::betree::Message] *) -type betree_message_t = -| BetreeMessageInsert : u64 -> betree_message_t -| BetreeMessageDelete : betree_message_t -| BetreeMessageUpsert : betree_upsert_fun_state_t -> betree_message_t - -(** [betree_main::betree::Leaf] *) -type betree_leaf_t = { betree_leaf_id : u64; betree_leaf_size : u64; } - -(** [betree_main::betree::Internal] *) -type betree_internal_t = -{ - betree_internal_id : u64; - betree_internal_pivot : u64; - betree_internal_left : betree_node_t; - betree_internal_right : betree_node_t; -} - -(** [betree_main::betree::Node] *) -and betree_node_t = -| BetreeNodeInternal : betree_internal_t -> betree_node_t -| BetreeNodeLeaf : betree_leaf_t -> betree_node_t - -(** [betree_main::betree::Params] *) -type betree_params_t = -{ - betree_params_min_flush_size : u64; betree_params_split_size : u64; -} - -(** [betree_main::betree::NodeIdCounter] *) -type betree_node_id_counter_t = { betree_node_id_counter_next_node_id : u64; } - -(** [betree_main::betree::BeTree] *) -type betree_be_tree_t = -{ - betree_be_tree_params : betree_params_t; - betree_be_tree_node_id_cnt : betree_node_id_counter_t; - betree_be_tree_root : betree_node_t; -} - -(** The state type used in the state-error monad *) -val state : Type0 - diff --git a/tests/fstar/betree_back_stateful/BetreeMain.TypesExternal.fsti b/tests/fstar/betree_back_stateful/BetreeMain.TypesExternal.fsti new file mode 100644 index 00000000..1b2c53a6 --- /dev/null +++ b/tests/fstar/betree_back_stateful/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/betree_back_stateful/Primitives.fst b/tests/fstar/betree_back_stateful/Primitives.fst index 9db82069..dd340c00 100644 --- a/tests/fstar/betree_back_stateful/Primitives.fst +++ b/tests/fstar/betree_back_stateful/Primitives.fst @@ -55,12 +55,20 @@ type string = string let is_zero (n: nat) : bool = n = 0 let decrease (n: nat{n > 0}) : nat = n - 1 -let mem_replace_fwd (a : Type0) (x : a) (y : a) : a = x -let mem_replace_back (a : Type0) (x : a) (y : a) : a = y +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 @@ -100,6 +108,10 @@ type scalar_ty = | 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 @@ -162,6 +174,100 @@ let scalar_sub (#ty : scalar_ty) (x : scalar ty) (y : scalar ty) : result (scala 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) = @@ -169,17 +275,44 @@ let scalar_cast (src_ty : scalar_ty) (tgt_ty : scalar_ty) (x : scalar src_ty) : /// 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 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 +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 @@ -231,7 +364,7 @@ let u32_add = scalar_add #U32 let u64_add = scalar_add #U64 let u128_add = scalar_add #U128 -/// Substraction +/// Subtraction let isize_sub = scalar_sub #Isize let i8_sub = scalar_sub #I8 let i16_sub = scalar_sub #I16 @@ -259,12 +392,128 @@ let u32_mul = scalar_mul #U32 let u64_mul = scalar_mul #U64 let u128_mul = scalar_mul #U128 -(*** Range *) -type range (a : Type0) = { +/// 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} @@ -278,15 +527,11 @@ let mk_array (a : Type0) (n : usize) normalize_term_spec (FStar.List.Tot.length l); l -let array_index_shared (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_index_mut_fwd (a : Type0) (n : usize) (x : array a n) (i : usize) : result a = +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_index_mut_back (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 @@ -295,55 +540,54 @@ 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_shared (a : Type0) (x : slice a) (i : usize) : result a = - if i < length x then Return (index x i) - else Fail Failure - -let slice_index_mut_fwd (a : Type0) (x : slice a) (i : usize) : result a = +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_index_mut_back (a : Type0) (x : slice a) (i : usize) (nx : a) : result (slice a) = +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_shared (a : Type0) (n : usize) (x : array a n) : result (slice a) = Return x -let array_to_slice_mut_fwd (a : Type0) (n : usize) (x : array a n) : result (slice a) = Return x -let array_to_slice_mut_back (a : Type0) (n : usize) (x : array a n) (s : slice a) : result (array a n) = +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_shared (a : Type0) (n : usize) (x : array a n) (r : range usize) : result (slice a) = +let array_subslice (a : Type0) (n : usize) (x : array a n) (r : core_ops_range_Range usize) : result (slice a) = admit() -let array_subslice_mut_fwd (a : Type0) (n : usize) (x : array a n) (r : range usize) : result (slice a) = +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_subslice_mut_back (a : Type0) (n : usize) (x : array a n) (r : range usize) (ns : slice a) : result (array a n) = +let array_repeat (a : Type0) (n : usize) (x : a) : array a n = admit() -let slice_subslice_shared (a : Type0) (x : slice a) (r : range usize) : result (slice a) = +let slice_subslice (a : Type0) (x : slice a) (r : core_ops_range_Range usize) : result (slice a) = admit() -let slice_subslice_mut_fwd (a : Type0) (x : slice a) (r : range usize) : result (slice a) = - admit() - -let slice_subslice_mut_back (a : Type0) (x : slice a) (r : range usize) (ns : slice a) : result (slice a) = +let slice_update_subslice (a : Type0) (x : slice a) (r : core_ops_range_Range usize) (ns : slice a) : result (slice a) = admit() (*** Vector *) -type vec (a : Type0) = v:list a{length v <= usize_max} +type alloc_vec_Vec (a : Type0) = v:list a{length v <= usize_max} -let vec_new (a : Type0) : vec a = assert_norm(length #a [] == 0); [] -let vec_len (a : Type0) (v : vec a) : usize = length v +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 vec_push_fwd (a : Type0) (v : vec a) (x : a) : unit = () -let vec_push_back (a : Type0) (v : vec a) (x : a) : - Pure (result (vec a)) +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 @@ -358,18 +602,279 @@ let vec_push_back (a : Type0) (v : vec a) (x : a) : else Fail Failure // The **forward** function shouldn't be used -let vec_insert_fwd (a : Type0) (v : vec a) (i : usize) (x : a) : result unit = +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 vec_insert_back (a : Type0) (v : vec a) (i : usize) (x : a) : result (vec a) = +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 -// The **backward** function shouldn't be used -let vec_index_fwd (a : Type0) (v : vec a) (i : usize) : result a = - if i < length v then Return (index v i) else Fail Failure -let vec_index_back (a : Type0) (v : vec a) (i : usize) (x : a) : result unit = - if i < length v then Return () 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; +} -let vec_index_mut_fwd (a : Type0) (v : vec a) (i : usize) : result a = - if i < length v then Return (index v i) else Fail Failure -let vec_index_mut_back (a : Type0) (v : vec a) (i : usize) (nx : a) : result (vec a) = - if i < length v then Return (list_update v i nx) else Fail Failure +// [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/hashmap/Hashmap.Clauses.Template.fst b/tests/fstar/hashmap/Hashmap.Clauses.Template.fst index 640ae783..2733b371 100644 --- a/tests/fstar/hashmap/Hashmap.Clauses.Template.fst +++ b/tests/fstar/hashmap/Hashmap.Clauses.Template.fst @@ -6,57 +6,66 @@ open Hashmap.Types #set-options "--z3rlimit 50 --fuel 1 --ifuel 1" -(** [hashmap::HashMap::{0}::allocate_slots]: decreases clause *) +(** [hashmap::{hashmap::HashMap<T>}::allocate_slots]: decreases clause + Source: 'src/hashmap.rs', lines 50:4-56:5 *) unfold -let hash_map_allocate_slots_loop_decreases (t : Type0) (slots : vec (list_t t)) - (n : usize) : nat = +let hashMap_allocate_slots_loop_decreases (t : Type0) + (slots : alloc_vec_Vec (list_t t)) (n : usize) : nat = admit () -(** [hashmap::HashMap::{0}::clear]: decreases clause *) +(** [hashmap::{hashmap::HashMap<T>}::clear]: decreases clause + Source: 'src/hashmap.rs', lines 80:4-88:5 *) unfold -let hash_map_clear_loop_decreases (t : Type0) (slots : vec (list_t t)) +let hashMap_clear_loop_decreases (t : Type0) (slots : alloc_vec_Vec (list_t t)) (i : usize) : nat = admit () -(** [hashmap::HashMap::{0}::insert_in_list]: decreases clause *) +(** [hashmap::{hashmap::HashMap<T>}::insert_in_list]: decreases clause + Source: 'src/hashmap.rs', lines 97:4-114:5 *) unfold -let hash_map_insert_in_list_loop_decreases (t : Type0) (key : usize) - (value : t) (ls : list_t t) : nat = +let hashMap_insert_in_list_loop_decreases (t : Type0) (key : usize) (value : t) + (ls : list_t t) : nat = admit () -(** [hashmap::HashMap::{0}::move_elements_from_list]: decreases clause *) +(** [hashmap::{hashmap::HashMap<T>}::move_elements_from_list]: decreases clause + Source: 'src/hashmap.rs', lines 183:4-196:5 *) unfold -let hash_map_move_elements_from_list_loop_decreases (t : Type0) - (ntable : hash_map_t t) (ls : list_t t) : nat = +let hashMap_move_elements_from_list_loop_decreases (t : Type0) + (ntable : hashMap_t t) (ls : list_t t) : nat = admit () -(** [hashmap::HashMap::{0}::move_elements]: decreases clause *) +(** [hashmap::{hashmap::HashMap<T>}::move_elements]: decreases clause + Source: 'src/hashmap.rs', lines 171:4-180:5 *) unfold -let hash_map_move_elements_loop_decreases (t : Type0) (ntable : hash_map_t t) - (slots : vec (list_t t)) (i : usize) : nat = +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::{0}::contains_key_in_list]: decreases clause *) +(** [hashmap::{hashmap::HashMap<T>}::contains_key_in_list]: decreases clause + Source: 'src/hashmap.rs', lines 206:4-219:5 *) unfold -let hash_map_contains_key_in_list_loop_decreases (t : Type0) (key : usize) +let hashMap_contains_key_in_list_loop_decreases (t : Type0) (key : usize) (ls : list_t t) : nat = admit () -(** [hashmap::HashMap::{0}::get_in_list]: decreases clause *) +(** [hashmap::{hashmap::HashMap<T>}::get_in_list]: decreases clause + Source: 'src/hashmap.rs', lines 224:4-237:5 *) unfold -let hash_map_get_in_list_loop_decreases (t : Type0) (key : usize) +let hashMap_get_in_list_loop_decreases (t : Type0) (key : usize) (ls : list_t t) : nat = admit () -(** [hashmap::HashMap::{0}::get_mut_in_list]: decreases clause *) +(** [hashmap::{hashmap::HashMap<T>}::get_mut_in_list]: decreases clause + Source: 'src/hashmap.rs', lines 245:4-254:5 *) unfold -let hash_map_get_mut_in_list_loop_decreases (t : Type0) (ls : list_t t) +let hashMap_get_mut_in_list_loop_decreases (t : Type0) (ls : list_t t) (key : usize) : nat = admit () -(** [hashmap::HashMap::{0}::remove_from_list]: decreases clause *) +(** [hashmap::{hashmap::HashMap<T>}::remove_from_list]: decreases clause + Source: 'src/hashmap.rs', lines 265:4-291:5 *) unfold -let hash_map_remove_from_list_loop_decreases (t : Type0) (key : usize) +let hashMap_remove_from_list_loop_decreases (t : Type0) (key : usize) (ls : list_t t) : nat = admit () diff --git a/tests/fstar/hashmap/Hashmap.Clauses.fst b/tests/fstar/hashmap/Hashmap.Clauses.fst index d8bb8d20..6c699d05 100644 --- a/tests/fstar/hashmap/Hashmap.Clauses.fst +++ b/tests/fstar/hashmap/Hashmap.Clauses.fst @@ -8,54 +8,54 @@ open Hashmap.Types (** [hashmap::HashMap::allocate_slots]: decreases clause *) unfold -let hash_map_allocate_slots_loop_decreases (t : Type0) (slots : vec (list_t t)) - (n : usize) : nat = n +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 hash_map_clear_loop_decreases (t : Type0) (slots : vec (list_t t)) +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 hash_map_insert_in_list_loop_decreases (t : Type0) (key : usize) (value : t) +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 hash_map_move_elements_from_list_loop_decreases (t : Type0) - (ntable : hash_map_t t) (ls : list_t t) : list_t t = +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 hash_map_move_elements_loop_decreases (t : Type0) (ntable : hash_map_t t) - (slots : vec (list_t t)) (i : usize) : nat = +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 hash_map_contains_key_in_list_loop_decreases (t : Type0) (key : usize) +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 hash_map_get_in_list_loop_decreases (t : Type0) (key : usize) (ls : list_t t) : +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 hash_map_get_mut_in_list_loop_decreases (t : Type0) (ls : list_t t) +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 hash_map_remove_from_list_loop_decreases (t : Type0) (key : usize) +let hashMap_remove_from_list_loop_decreases (t : Type0) (key : usize) (ls : list_t t) : list_t t = ls diff --git a/tests/fstar/hashmap/Hashmap.Funs.fst b/tests/fstar/hashmap/Hashmap.Funs.fst index f4c13a7b..e6cd1411 100644 --- a/tests/fstar/hashmap/Hashmap.Funs.fst +++ b/tests/fstar/hashmap/Hashmap.Funs.fst @@ -7,461 +7,523 @@ include Hashmap.Clauses #set-options "--z3rlimit 50 --fuel 1 --ifuel 1" -(** [hashmap::hash_key]: forward function *) -let hash_key_fwd (k : usize) : result usize = +(** [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::{0}::allocate_slots]: loop 0: forward function *) -let rec hash_map_allocate_slots_loop_fwd - (t : Type0) (slots : vec (list_t t)) (n : usize) : - Tot (result (vec (list_t t))) - (decreases (hash_map_allocate_slots_loop_decreases t slots n)) +(** [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* slots0 = vec_push_back (list_t t) slots ListNil in + let* slots0 = alloc_vec_Vec_push (list_t t) slots List_Nil in let* n0 = usize_sub n 1 in - hash_map_allocate_slots_loop_fwd t slots0 n0 + hashMap_allocate_slots_loop t slots0 n0 else Return slots -(** [hashmap::HashMap::{0}::allocate_slots]: forward function *) -let hash_map_allocate_slots_fwd - (t : Type0) (slots : vec (list_t t)) (n : usize) : result (vec (list_t t)) = - hash_map_allocate_slots_loop_fwd t slots n +(** [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::{0}::new_with_capacity]: forward function *) -let hash_map_new_with_capacity_fwd +(** [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 (hash_map_t t) + result (hashMap_t t) = - let v = vec_new (list_t t) in - let* slots = hash_map_allocate_slots_fwd t v capacity in + let v = alloc_vec_Vec_new (list_t t) in + let* slots = hashMap_allocate_slots t v capacity in let* i = usize_mul capacity max_load_dividend in let* i0 = usize_div i max_load_divisor in Return { - hash_map_num_entries = 0; - hash_map_max_load_factor = (max_load_dividend, max_load_divisor); - hash_map_max_load = i0; - hash_map_slots = slots + num_entries = 0; + max_load_factor = (max_load_dividend, max_load_divisor); + max_load = i0; + slots = slots } -(** [hashmap::HashMap::{0}::new]: forward function *) -let hash_map_new_fwd (t : Type0) : result (hash_map_t t) = - hash_map_new_with_capacity_fwd t 32 4 5 - -(** [hashmap::HashMap::{0}::clear]: loop 0: merged forward/backward function - (there is a single backward function, and the forward function returns ()) *) -let rec hash_map_clear_loop_fwd_back - (t : Type0) (slots : vec (list_t t)) (i : usize) : - Tot (result (vec (list_t t))) - (decreases (hash_map_clear_loop_decreases t slots i)) +(** [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 i0 = vec_len (list_t t) slots in + let i0 = alloc_vec_Vec_len (list_t t) slots in if i < i0 then let* i1 = usize_add i 1 in - let* slots0 = vec_index_mut_back (list_t t) slots i ListNil in - hash_map_clear_loop_fwd_back t slots0 i1 + 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 else Return slots -(** [hashmap::HashMap::{0}::clear]: merged forward/backward function - (there is a single backward function, and the forward function returns ()) *) -let hash_map_clear_fwd_back - (t : Type0) (self : hash_map_t t) : result (hash_map_t t) = - let* v = hash_map_clear_loop_fwd_back t self.hash_map_slots 0 in - Return { self with hash_map_num_entries = 0; hash_map_slots = v } - -(** [hashmap::HashMap::{0}::len]: forward function *) -let hash_map_len_fwd (t : Type0) (self : hash_map_t t) : result usize = - Return self.hash_map_num_entries - -(** [hashmap::HashMap::{0}::insert_in_list]: loop 0: forward function *) -let rec hash_map_insert_in_list_loop_fwd +(** [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 (hash_map_insert_in_list_loop_decreases t key value ls)) + (decreases (hashMap_insert_in_list_loop_decreases t key value ls)) = begin match ls with - | ListCons ckey cvalue tl -> + | List_Cons ckey cvalue tl -> if ckey = key then Return false - else hash_map_insert_in_list_loop_fwd t key value tl - | ListNil -> Return true + else hashMap_insert_in_list_loop t key value tl + | List_Nil -> Return true end -(** [hashmap::HashMap::{0}::insert_in_list]: forward function *) -let hash_map_insert_in_list_fwd +(** [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 = - hash_map_insert_in_list_loop_fwd t key value ls + hashMap_insert_in_list_loop t key value ls -(** [hashmap::HashMap::{0}::insert_in_list]: loop 0: backward function 0 *) -let rec hash_map_insert_in_list_loop_back +(** [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 (hash_map_insert_in_list_loop_decreases t key value ls)) + (decreases (hashMap_insert_in_list_loop_decreases t key value ls)) = begin match ls with - | ListCons ckey cvalue tl -> + | List_Cons ckey cvalue tl -> if ckey = key - then Return (ListCons ckey value tl) + then Return (List_Cons ckey value tl) else - let* tl0 = hash_map_insert_in_list_loop_back t key value tl in - Return (ListCons ckey cvalue tl0) - | ListNil -> let l = ListNil in Return (ListCons key value l) + 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::{0}::insert_in_list]: backward function 0 *) -let hash_map_insert_in_list_back +(** [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) = - hash_map_insert_in_list_loop_back t key value ls - -(** [hashmap::HashMap::{0}::insert_no_resize]: merged forward/backward function - (there is a single backward function, and the forward function returns ()) *) -let hash_map_insert_no_resize_fwd_back - (t : Type0) (self : hash_map_t t) (key : usize) (value : t) : - result (hash_map_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_fwd key in - let i = vec_len (list_t t) self.hash_map_slots in + 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 = vec_index_mut_fwd (list_t t) self.hash_map_slots hash_mod in - let* inserted = hash_map_insert_in_list_fwd t key value l 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* i0 = usize_add self.hash_map_num_entries 1 in - let* l0 = hash_map_insert_in_list_back t key value l in - let* v = vec_index_mut_back (list_t t) self.hash_map_slots hash_mod l0 in - Return { self with hash_map_num_entries = i0; hash_map_slots = v } + 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 = hash_map_insert_in_list_back t key value l in - let* v = vec_index_mut_back (list_t t) self.hash_map_slots hash_mod l0 in - Return { self with hash_map_slots = v } - -(** [core::num::u32::{8}::MAX] *) -let core_num_u32_max_body : result u32 = Return 4294967295 -let core_num_u32_max_c : u32 = eval_global core_num_u32_max_body - -(** [hashmap::HashMap::{0}::move_elements_from_list]: loop 0: merged forward/backward function - (there is a single backward function, and the forward function returns ()) *) -let rec hash_map_move_elements_from_list_loop_fwd_back - (t : Type0) (ntable : hash_map_t t) (ls : list_t t) : - Tot (result (hash_map_t t)) - (decreases (hash_map_move_elements_from_list_loop_decreases t ntable ls)) + 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 ()) + 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 - | ListCons k v tl -> - let* ntable0 = hash_map_insert_no_resize_fwd_back t ntable k v in - hash_map_move_elements_from_list_loop_fwd_back t ntable0 tl - | ListNil -> Return ntable + | 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 + | List_Nil -> Return ntable end -(** [hashmap::HashMap::{0}::move_elements_from_list]: merged forward/backward function - (there is a single backward function, and the forward function returns ()) *) -let hash_map_move_elements_from_list_fwd_back - (t : Type0) (ntable : hash_map_t t) (ls : list_t t) : result (hash_map_t t) = - hash_map_move_elements_from_list_loop_fwd_back t ntable ls - -(** [hashmap::HashMap::{0}::move_elements]: loop 0: merged forward/backward function - (there is a single backward function, and the forward function returns ()) *) -let rec hash_map_move_elements_loop_fwd_back - (t : Type0) (ntable : hash_map_t t) (slots : vec (list_t t)) (i : usize) : - Tot (result ((hash_map_t t) & (vec (list_t t)))) - (decreases (hash_map_move_elements_loop_decreases t ntable slots i)) +(** [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 i0 = vec_len (list_t t) slots in + let i0 = alloc_vec_Vec_len (list_t t) slots in if i < i0 then - let* l = vec_index_mut_fwd (list_t t) slots i in - let ls = mem_replace_fwd (list_t t) l ListNil in - let* ntable0 = hash_map_move_elements_from_list_fwd_back t ntable ls in + 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* ntable0 = hashMap_move_elements_from_list t ntable ls in let* i1 = usize_add i 1 in - let l0 = mem_replace_back (list_t t) l ListNil in - let* slots0 = vec_index_mut_back (list_t t) slots i l0 in - hash_map_move_elements_loop_fwd_back t ntable0 slots0 i1 + 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 else Return (ntable, slots) -(** [hashmap::HashMap::{0}::move_elements]: merged forward/backward function - (there is a single backward function, and the forward function returns ()) *) -let hash_map_move_elements_fwd_back - (t : Type0) (ntable : hash_map_t t) (slots : vec (list_t t)) (i : usize) : - result ((hash_map_t t) & (vec (list_t t))) +(** [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))) = - hash_map_move_elements_loop_fwd_back t ntable slots i - -(** [hashmap::HashMap::{0}::try_resize]: merged forward/backward function - (there is a single backward function, and the forward function returns ()) *) -let hash_map_try_resize_fwd_back - (t : Type0) (self : hash_map_t t) : result (hash_map_t t) = - let* max_usize = scalar_cast U32 Usize core_num_u32_max_c in - let capacity = vec_len (list_t t) self.hash_map_slots in + 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, i0) = self.hash_map_max_load_factor in + let (i, i0) = self.max_load_factor in let* i1 = usize_div n1 i in if capacity <= i1 then let* i2 = usize_mul capacity 2 in - let* ntable = hash_map_new_with_capacity_fwd t i2 i i0 in - let* (ntable0, _) = - hash_map_move_elements_fwd_back t ntable self.hash_map_slots 0 in + let* ntable = hashMap_new_with_capacity t i2 i i0 in + let* (ntable0, _) = hashMap_move_elements t ntable self.slots 0 in Return - { - ntable0 - with - hash_map_num_entries = self.hash_map_num_entries; - hash_map_max_load_factor = (i, i0) + { ntable0 with num_entries = self.num_entries; max_load_factor = (i, i0) } - else Return { self with hash_map_max_load_factor = (i, i0) } - -(** [hashmap::HashMap::{0}::insert]: merged forward/backward function - (there is a single backward function, and the forward function returns ()) *) -let hash_map_insert_fwd_back - (t : Type0) (self : hash_map_t t) (key : usize) (value : t) : - result (hash_map_t t) + else Return { 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 ()) + 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 = hash_map_insert_no_resize_fwd_back t self key value in - let* i = hash_map_len_fwd t self0 in - if i > self0.hash_map_max_load - then hash_map_try_resize_fwd_back t self0 - else Return self0 - -(** [hashmap::HashMap::{0}::contains_key_in_list]: loop 0: forward function *) -let rec hash_map_contains_key_in_list_loop_fwd + 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 + +(** [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 (hash_map_contains_key_in_list_loop_decreases t key ls)) + (decreases (hashMap_contains_key_in_list_loop_decreases t key ls)) = begin match ls with - | ListCons ckey x tl -> + | List_Cons ckey x tl -> if ckey = key then Return true - else hash_map_contains_key_in_list_loop_fwd t key tl - | ListNil -> Return false + else hashMap_contains_key_in_list_loop t key tl + | List_Nil -> Return false end -(** [hashmap::HashMap::{0}::contains_key_in_list]: forward function *) -let hash_map_contains_key_in_list_fwd +(** [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 = - hash_map_contains_key_in_list_loop_fwd t key ls - -(** [hashmap::HashMap::{0}::contains_key]: forward function *) -let hash_map_contains_key_fwd - (t : Type0) (self : hash_map_t t) (key : usize) : result bool = - let* hash = hash_key_fwd key in - let i = vec_len (list_t t) self.hash_map_slots in + 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 = vec_index_fwd (list_t t) self.hash_map_slots hash_mod in - hash_map_contains_key_in_list_fwd t key l - -(** [hashmap::HashMap::{0}::get_in_list]: loop 0: forward function *) -let rec hash_map_get_in_list_loop_fwd + 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 (hash_map_get_in_list_loop_decreases t key ls)) + Tot (result t) (decreases (hashMap_get_in_list_loop_decreases t key ls)) = begin match ls with - | ListCons ckey cvalue tl -> - if ckey = key - then Return cvalue - else hash_map_get_in_list_loop_fwd t key tl - | ListNil -> Fail Failure + | 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::{0}::get_in_list]: forward function *) -let hash_map_get_in_list_fwd - (t : Type0) (key : usize) (ls : list_t t) : result t = - hash_map_get_in_list_loop_fwd t key ls +(** [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::{0}::get]: forward function *) -let hash_map_get_fwd - (t : Type0) (self : hash_map_t t) (key : usize) : result t = - let* hash = hash_key_fwd key in - let i = vec_len (list_t t) self.hash_map_slots in +(** [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 = vec_index_fwd (list_t t) self.hash_map_slots hash_mod in - hash_map_get_in_list_fwd t key l - -(** [hashmap::HashMap::{0}::get_mut_in_list]: loop 0: forward function *) -let rec hash_map_get_mut_in_list_loop_fwd + 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 (hash_map_get_mut_in_list_loop_decreases t ls key)) + Tot (result t) (decreases (hashMap_get_mut_in_list_loop_decreases t ls key)) = begin match ls with - | ListCons ckey cvalue tl -> - if ckey = key - then Return cvalue - else hash_map_get_mut_in_list_loop_fwd t tl key - | ListNil -> Fail Failure + | 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::{0}::get_mut_in_list]: forward function *) -let hash_map_get_mut_in_list_fwd +(** [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 = - hash_map_get_mut_in_list_loop_fwd t ls key + hashMap_get_mut_in_list_loop t ls key -(** [hashmap::HashMap::{0}::get_mut_in_list]: loop 0: backward function 0 *) -let rec hash_map_get_mut_in_list_loop_back +(** [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 (hash_map_get_mut_in_list_loop_decreases t ls key)) + (decreases (hashMap_get_mut_in_list_loop_decreases t ls key)) = begin match ls with - | ListCons ckey cvalue tl -> + | List_Cons ckey cvalue tl -> if ckey = key - then Return (ListCons ckey ret tl) + then Return (List_Cons ckey ret tl) else - let* tl0 = hash_map_get_mut_in_list_loop_back t tl key ret in - Return (ListCons ckey cvalue tl0) - | ListNil -> Fail Failure + let* tl0 = hashMap_get_mut_in_list_loop_back t tl key ret in + Return (List_Cons ckey cvalue tl0) + | List_Nil -> Fail Failure end -(** [hashmap::HashMap::{0}::get_mut_in_list]: backward function 0 *) -let hash_map_get_mut_in_list_back +(** [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) = - hash_map_get_mut_in_list_loop_back t ls key ret + hashMap_get_mut_in_list_loop_back t ls key ret -(** [hashmap::HashMap::{0}::get_mut]: forward function *) -let hash_map_get_mut_fwd - (t : Type0) (self : hash_map_t t) (key : usize) : result t = - let* hash = hash_key_fwd key in - let i = vec_len (list_t t) self.hash_map_slots in +(** [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 = vec_index_mut_fwd (list_t t) self.hash_map_slots hash_mod in - hash_map_get_mut_in_list_fwd t l key - -(** [hashmap::HashMap::{0}::get_mut]: backward function 0 *) -let hash_map_get_mut_back - (t : Type0) (self : hash_map_t t) (key : usize) (ret : t) : - result (hash_map_t t) + 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_fwd key in - let i = vec_len (list_t t) self.hash_map_slots in + 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 = vec_index_mut_fwd (list_t t) self.hash_map_slots hash_mod in - let* l0 = hash_map_get_mut_in_list_back t l key ret in - let* v = vec_index_mut_back (list_t t) self.hash_map_slots hash_mod l0 in - Return { self with hash_map_slots = v } - -(** [hashmap::HashMap::{0}::remove_from_list]: loop 0: forward function *) -let rec hash_map_remove_from_list_loop_fwd + let* l = + 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 + 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 (hash_map_remove_from_list_loop_decreases t key ls)) + (decreases (hashMap_remove_from_list_loop_decreases t key ls)) = begin match ls with - | ListCons ckey x tl -> + | List_Cons ckey x tl -> if ckey = key then - let mv_ls = mem_replace_fwd (list_t t) (ListCons ckey x tl) ListNil in + let mv_ls = core_mem_replace (list_t t) (List_Cons ckey x tl) List_Nil in begin match mv_ls with - | ListCons i cvalue tl0 -> Return (Some cvalue) - | ListNil -> Fail Failure + | List_Cons i cvalue tl0 -> Return (Some cvalue) + | List_Nil -> Fail Failure end - else hash_map_remove_from_list_loop_fwd t key tl - | ListNil -> Return None + else hashMap_remove_from_list_loop t key tl + | List_Nil -> Return None end -(** [hashmap::HashMap::{0}::remove_from_list]: forward function *) -let hash_map_remove_from_list_fwd +(** [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) = - hash_map_remove_from_list_loop_fwd t key ls + hashMap_remove_from_list_loop t key ls -(** [hashmap::HashMap::{0}::remove_from_list]: loop 0: backward function 1 *) -let rec hash_map_remove_from_list_loop_back +(** [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 (hash_map_remove_from_list_loop_decreases t key ls)) + (decreases (hashMap_remove_from_list_loop_decreases t key ls)) = begin match ls with - | ListCons ckey x tl -> + | List_Cons ckey x tl -> if ckey = key then - let mv_ls = mem_replace_fwd (list_t t) (ListCons ckey x tl) ListNil in + let mv_ls = core_mem_replace (list_t t) (List_Cons ckey x tl) List_Nil in begin match mv_ls with - | ListCons i cvalue tl0 -> Return tl0 - | ListNil -> Fail Failure + | List_Cons i cvalue tl0 -> Return tl0 + | List_Nil -> Fail Failure end else - let* tl0 = hash_map_remove_from_list_loop_back t key tl in - Return (ListCons ckey x tl0) - | ListNil -> Return ListNil + 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::{0}::remove_from_list]: backward function 1 *) -let hash_map_remove_from_list_back +(** [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) = - hash_map_remove_from_list_loop_back t key ls - -(** [hashmap::HashMap::{0}::remove]: forward function *) -let hash_map_remove_fwd - (t : Type0) (self : hash_map_t t) (key : usize) : result (option t) = - let* hash = hash_key_fwd key in - let i = vec_len (list_t t) self.hash_map_slots in + 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 = vec_index_mut_fwd (list_t t) self.hash_map_slots hash_mod in - let* x = hash_map_remove_from_list_fwd t key l 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.hash_map_num_entries 1 in Return (Some x0) + | Some x0 -> let* _ = usize_sub self.num_entries 1 in Return (Some x0) end -(** [hashmap::HashMap::{0}::remove]: backward function 0 *) -let hash_map_remove_back - (t : Type0) (self : hash_map_t t) (key : usize) : result (hash_map_t t) = - let* hash = hash_key_fwd key in - let i = vec_len (list_t t) self.hash_map_slots in +(** [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 = vec_index_mut_fwd (list_t t) self.hash_map_slots hash_mod in - let* x = hash_map_remove_from_list_fwd t key l 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* l0 = hash_map_remove_from_list_back t key l in - let* v = vec_index_mut_back (list_t t) self.hash_map_slots hash_mod l0 in - Return { self with hash_map_slots = v } + 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.hash_map_num_entries 1 in - let* l0 = hash_map_remove_from_list_back t key l in - let* v = vec_index_mut_back (list_t t) self.hash_map_slots hash_mod l0 in - Return { self with hash_map_num_entries = i0; hash_map_slots = v } + 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 } end -(** [hashmap::test1]: forward function *) -let test1_fwd : result unit = - let* hm = hash_map_new_fwd u64 in - let* hm0 = hash_map_insert_fwd_back u64 hm 0 42 in - let* hm1 = hash_map_insert_fwd_back u64 hm0 128 18 in - let* hm2 = hash_map_insert_fwd_back u64 hm1 1024 138 in - let* hm3 = hash_map_insert_fwd_back u64 hm2 1056 256 in - let* i = hash_map_get_fwd u64 hm3 128 in +(** [hashmap::test1]: forward function + 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 if not (i = 18) then Fail Failure else - let* hm4 = hash_map_get_mut_back u64 hm3 1024 56 in - let* i0 = hash_map_get_fwd u64 hm4 1024 in + let* hm4 = hashMap_get_mut_back u64 hm3 1024 56 in + let* i0 = hashMap_get u64 hm4 1024 in if not (i0 = 56) then Fail Failure else - let* x = hash_map_remove_fwd u64 hm4 1024 in + let* x = hashMap_remove u64 hm4 1024 in begin match x with | None -> Fail Failure | Some x0 -> if not (x0 = 56) then Fail Failure else - let* hm5 = hash_map_remove_back u64 hm4 1024 in - let* i1 = hash_map_get_fwd u64 hm5 0 in + let* hm5 = hashMap_remove_back u64 hm4 1024 in + let* i1 = hashMap_get u64 hm5 0 in if not (i1 = 42) then Fail Failure else - let* i2 = hash_map_get_fwd u64 hm5 128 in + let* i2 = hashMap_get u64 hm5 128 in if not (i2 = 18) then Fail Failure else - let* i3 = hash_map_get_fwd u64 hm5 1056 in + let* i3 = hashMap_get u64 hm5 1056 in if not (i3 = 256) then Fail Failure else Return () end -(** Unit test for [hashmap::test1] *) -let _ = assert_norm (test1_fwd = Return ()) - diff --git a/tests/fstar/hashmap/Hashmap.Properties.fst b/tests/fstar/hashmap/Hashmap.Properties.fst index 49d96cd5..def520f0 100644 --- a/tests/fstar/hashmap/Hashmap.Properties.fst +++ b/tests/fstar/hashmap/Hashmap.Properties.fst @@ -272,7 +272,7 @@ type pos_usize = x:usize{x > 0} type binding (t : Type0) = key & t -type slots_t (t : Type0) = vec (list_t t) +type slots_t (t : Type0) = alloc_vec_Vec (list_t t) /// We represent hash maps as associative lists type assoc_list (t : Type0) = list (binding t) @@ -280,8 +280,8 @@ type assoc_list (t : Type0) = list (binding t) /// Representation function for [list_t] let rec list_t_v (#t : Type0) (ls : list_t t) : assoc_list t = match ls with - | ListNil -> [] - | ListCons k v tl -> (k,v) :: list_t_v tl + | List_Nil -> [] + | List_Cons k v tl -> (k,v) :: list_t_v tl let list_t_len (#t : Type0) (ls : list_t t) : nat = length (list_t_v ls) let list_t_index (#t : Type0) (ls : list_t t) (i : nat{i < list_t_len ls}) : binding t = @@ -305,30 +305,30 @@ let slots_t_al_v (#t : Type0) (slots : slots_t t) : assoc_list t = /// list per slot). This is the representation we use most, internally. Note that /// we later introduce a [map_s] representation, which is the one used in the /// lemmas shown to the user. -type hash_map_s t = list (slot_s t) +type hashMap_s t = list (slot_s t) // TODO: why not always have the condition on the length? // 'nes': "non-empty slots" -type hash_map_s_nes (t : Type0) : Type0 = - hm:hash_map_s t{is_pos_usize (length hm)} +type hashMap_s_nes (t : Type0) : Type0 = + hm:hashMap_s t{is_pos_usize (length hm)} -/// Representation function for [hash_map_t] as a list of slots -let hash_map_t_v (#t : Type0) (hm : hash_map_t t) : hash_map_s t = - map list_t_v hm.hash_map_slots +/// Representation function for [hashMap_t] as a list of slots +let hashMap_t_v (#t : Type0) (hm : hashMap_t t) : hashMap_s t = + map list_t_v hm.slots -/// Representation function for [hash_map_t] as an associative list -let hash_map_t_al_v (#t : Type0) (hm : hash_map_t t) : assoc_list t = - flatten (hash_map_t_v hm) +/// Representation function for [hashMap_t] as an associative list +let hashMap_t_al_v (#t : Type0) (hm : hashMap_t t) : assoc_list t = + flatten (hashMap_t_v hm) // 'nes': "non-empty slots" -type hash_map_t_nes (t : Type0) : Type0 = - hm:hash_map_t t{is_pos_usize (length hm.hash_map_slots)} +type hashMap_t_nes (t : Type0) : Type0 = + hm:hashMap_t t{is_pos_usize (length hm.slots)} -let hash_key (k : key) : hash = - Return?.v (hash_key_fwd k) +let hash_key_s (k : key) : hash = + Return?.v (hash_key k) let hash_mod_key (k : key) (len : usize{len > 0}) : hash = - (hash_key k) % len + (hash_key_s k) % len let not_same_key (#t : Type0) (k : key) (b : binding t) : bool = fst b <> k let same_key (#t : Type0) (k : key) (b : binding t) : bool = fst b = k @@ -339,8 +339,8 @@ let same_hash_mod_key (#t : Type0) (len : usize{len > 0}) (h : nat) (b : binding let binding_neq (#t : Type0) (b0 b1 : binding t) : bool = fst b0 <> fst b1 -let hash_map_t_len_s (#t : Type0) (hm : hash_map_t t) : nat = - hm.hash_map_num_entries +let hashMap_t_len_s (#t : Type0) (hm : hashMap_t t) : nat = + hm.num_entries let assoc_list_find (#t : Type0) (k : key) (slot : assoc_list t) : option t = match find (same_key k) slot with @@ -354,26 +354,26 @@ let slot_t_find_s (#t : Type0) (k : key) (slot : list_t t) : option t = slot_s_find k (slot_t_v slot) // This is a simpler version of the "find" function, which captures the essence -// of what happens and operates on [hash_map_s]. -let hash_map_s_find - (#t : Type0) (hm : hash_map_s_nes t) +// of what happens and operates on [hashMap_s]. +let hashMap_s_find + (#t : Type0) (hm : hashMap_s_nes t) (k : key) : option t = let i = hash_mod_key k (length hm) in let slot = index hm i in slot_s_find k slot -let hash_map_s_len - (#t : Type0) (hm : hash_map_s t) : +let hashMap_s_len + (#t : Type0) (hm : hashMap_s t) : nat = length (flatten hm) -// Same as above, but operates on [hash_map_t] +// Same as above, but operates on [hashMap_t] // Note that we don't reuse the above function on purpose: converting to a -// [hash_map_s] then looking up an element is not the same as what we +// [hashMap_s] then looking up an element is not the same as what we // wrote below. -let hash_map_t_find_s - (#t : Type0) (hm : hash_map_t t{length hm.hash_map_slots > 0}) (k : key) : option t = - let slots = hm.hash_map_slots in +let hashMap_t_find_s + (#t : Type0) (hm : hashMap_t t{length hm.slots > 0}) (k : key) : option t = + let slots = hm.slots in let i = hash_mod_key k (length slots) in let slot = index slots i in slot_t_find_s k slot @@ -404,74 +404,74 @@ let slots_t_inv (#t : Type0) (slots : slots_t t{length slots <= usize_max}) : Ty {:pattern index slots i} slot_t_inv (length slots) i (index slots i) -let hash_map_s_inv (#t : Type0) (hm : hash_map_s t) : Type0 = +let hashMap_s_inv (#t : Type0) (hm : hashMap_s t) : Type0 = length hm <= usize_max /\ length hm > 0 /\ slots_s_inv hm /// Base invariant for the hashmap (the complete invariant can be temporarily /// broken between the moment we inserted an element and the moment we resize) -let hash_map_t_base_inv (#t : Type0) (hm : hash_map_t t) : Type0 = - let al = hash_map_t_al_v hm in +let hashMap_t_base_inv (#t : Type0) (hm : hashMap_t t) : Type0 = + let al = hashMap_t_al_v hm in // [num_entries] correctly tracks the number of entries in the table // Note that it gives us that the length of the slots array is <= usize_max: // [> length <= usize_max - // (because hash_map_num_entries has type `usize`) - hm.hash_map_num_entries = length al /\ + // (because hashMap_num_entries has type `usize`) + hm.num_entries = length al /\ // Slots invariant - slots_t_inv hm.hash_map_slots /\ + slots_t_inv hm.slots /\ // The capacity must be > 0 (otherwise we can't resize, because we // multiply the capacity by two!) - length hm.hash_map_slots > 0 /\ + length hm.slots > 0 /\ // Load computation begin - let capacity = length hm.hash_map_slots in - let (dividend, divisor) = hm.hash_map_max_load_factor in + let capacity = length hm.slots in + let (dividend, divisor) = hm.max_load_factor in 0 < dividend /\ dividend < divisor /\ capacity * dividend >= divisor /\ - hm.hash_map_max_load = (capacity * dividend) / divisor + hm.max_load = (capacity * dividend) / divisor end /// We often need to frame some values -let hash_map_t_same_params (#t : Type0) (hm0 hm1 : hash_map_t t) : Type0 = - length hm0.hash_map_slots = length hm1.hash_map_slots /\ - hm0.hash_map_max_load = hm1.hash_map_max_load /\ - hm0.hash_map_max_load_factor = hm1.hash_map_max_load_factor +let hashMap_t_same_params (#t : Type0) (hm0 hm1 : hashMap_t t) : Type0 = + length hm0.slots = length hm1.slots /\ + hm0.max_load = hm1.max_load /\ + hm0.max_load_factor = hm1.max_load_factor /// The following invariants, etc. are meant to be revealed to the user through /// the .fsti. /// Invariant for the hashmap -let hash_map_t_inv (#t : Type0) (hm : hash_map_t t) : Type0 = +let hashMap_t_inv (#t : Type0) (hm : hashMap_t t) : Type0 = // Base invariant - hash_map_t_base_inv hm /\ + hashMap_t_base_inv hm /\ // The hash map is either: not overloaded, or we can't resize it begin - let (dividend, divisor) = hm.hash_map_max_load_factor in - hm.hash_map_num_entries <= hm.hash_map_max_load - || length hm.hash_map_slots * 2 * dividend > usize_max + let (dividend, divisor) = hm.max_load_factor in + hm.num_entries <= hm.max_load + || length hm.slots * 2 * dividend > usize_max end (*** .fsti *) /// We reveal slightly different version of the above functions to the user -let len_s (#t : Type0) (hm : hash_map_t t) : nat = hash_map_t_len_s hm +let len_s (#t : Type0) (hm : hashMap_t t) : nat = hashMap_t_len_s hm -/// This version doesn't take any precondition (contrary to [hash_map_t_find_s]) -let find_s (#t : Type0) (hm : hash_map_t t) (k : key) : option t = - if length hm.hash_map_slots = 0 then None - else hash_map_t_find_s hm k +/// This version doesn't take any precondition (contrary to [hashMap_t_find_s]) +let find_s (#t : Type0) (hm : hashMap_t t) (k : key) : option t = + if length hm.slots = 0 then None + else hashMap_t_find_s hm k (*** Overloading *) -let hash_map_not_overloaded_lem #t hm = () +let hashMap_not_overloaded_lem #t hm = () (*** allocate_slots *) /// Auxiliary lemma val slots_t_all_nil_inv_lem - (#t : Type0) (slots : vec (list_t t){length slots <= usize_max}) : - Lemma (requires (forall (i:nat{i < length slots}). index slots i == ListNil)) + (#t : Type0) (slots : alloc_vec_Vec (list_t t){length slots <= usize_max}) : + Lemma (requires (forall (i:nat{i < length slots}). index slots i == List_Nil)) (ensures (slots_t_inv slots)) #push-options "--fuel 1" @@ -479,8 +479,8 @@ let slots_t_all_nil_inv_lem #t slots = () #pop-options val slots_t_al_v_all_nil_is_empty_lem - (#t : Type0) (slots : vec (list_t t)) : - Lemma (requires (forall (i:nat{i < length slots}). index slots i == ListNil)) + (#t : Type0) (slots : alloc_vec_Vec (list_t t)) : + Lemma (requires (forall (i:nat{i < length slots}). index slots i == List_Nil)) (ensures (slots_t_al_v slots == [])) #push-options "--fuel 1" @@ -492,44 +492,44 @@ let rec slots_t_al_v_all_nil_is_empty_lem #t slots = slots_t_al_v_all_nil_is_empty_lem #t slots'; assert(slots_t_al_v slots == list_t_v s @ slots_t_al_v slots'); assert(slots_t_al_v slots == list_t_v s); - assert(index slots 0 == ListNil) + assert(index slots 0 == List_Nil) #pop-options /// [allocate_slots] -val hash_map_allocate_slots_fwd_lem - (t : Type0) (slots : vec (list_t t)) (n : usize) : +val hashMap_allocate_slots_lem + (t : Type0) (slots : alloc_vec_Vec (list_t t)) (n : usize) : Lemma (requires (length slots + n <= usize_max)) (ensures ( - match hash_map_allocate_slots_fwd t slots n with + match hashMap_allocate_slots t slots n with | Fail _ -> False | Return slots' -> length slots' = length slots + n /\ // We leave the already allocated slots unchanged (forall (i:nat{i < length slots}). index slots' i == index slots i) /\ // We allocate n additional empty slots - (forall (i:nat{length slots <= i /\ i < length slots'}). index slots' i == ListNil))) - (decreases (hash_map_allocate_slots_loop_decreases t slots n)) + (forall (i:nat{length slots <= i /\ i < length slots'}). index slots' i == List_Nil))) + (decreases (hashMap_allocate_slots_loop_decreases t slots n)) #push-options "--fuel 1" -let rec hash_map_allocate_slots_fwd_lem t slots n = +let rec hashMap_allocate_slots_lem t slots n = begin match n with | 0 -> () | _ -> - begin match vec_push_back (list_t t) slots ListNil with + begin match alloc_vec_Vec_push (list_t t) slots List_Nil with | Fail _ -> () | Return slots1 -> begin match usize_sub n 1 with | Fail _ -> () | Return i -> - hash_map_allocate_slots_fwd_lem t slots1 i; - begin match hash_map_allocate_slots_fwd t slots1 i with + hashMap_allocate_slots_lem t slots1 i; + begin match hashMap_allocate_slots t slots1 i with | Fail _ -> () | Return slots2 -> assert(length slots1 = length slots + 1); - assert(slots1 == slots @ [ListNil]); // Triggers patterns - assert(index slots1 (length slots) == index [ListNil] 0); // Triggers patterns - assert(index slots1 (length slots) == ListNil) + assert(slots1 == slots @ [List_Nil]); // Triggers patterns + assert(index slots1 (length slots) == index [List_Nil] 0); // Triggers patterns + assert(index slots1 (length slots) == List_Nil) end end end @@ -538,7 +538,7 @@ let rec hash_map_allocate_slots_fwd_lem t slots n = (*** new_with_capacity *) /// Under proper conditions, [new_with_capacity] doesn't fail and returns an empty hash map. -val hash_map_new_with_capacity_fwd_lem +val hashMap_new_with_capacity_lem (t : Type0) (capacity : usize) (max_load_dividend : usize) (max_load_divisor : usize) : Lemma @@ -549,31 +549,31 @@ val hash_map_new_with_capacity_fwd_lem capacity * max_load_dividend >= max_load_divisor /\ capacity * max_load_dividend <= usize_max)) (ensures ( - match hash_map_new_with_capacity_fwd t capacity max_load_dividend max_load_divisor with + match hashMap_new_with_capacity t capacity max_load_dividend max_load_divisor with | Fail _ -> False | Return hm -> // The hash map invariant is satisfied - hash_map_t_inv hm /\ + hashMap_t_inv hm /\ // The parameters are correct - hm.hash_map_max_load_factor = (max_load_dividend, max_load_divisor) /\ - hm.hash_map_max_load = (capacity * max_load_dividend) / max_load_divisor /\ + hm.max_load_factor = (max_load_dividend, max_load_divisor) /\ + hm.max_load = (capacity * max_load_dividend) / max_load_divisor /\ // The hash map has the specified capacity - we need to reveal this - // otherwise the pre of [hash_map_t_find_s] is not satisfied. - length hm.hash_map_slots = capacity /\ + // otherwise the pre of [hashMap_t_find_s] is not satisfied. + length hm.slots = capacity /\ // The hash map has 0 values - hash_map_t_len_s hm = 0 /\ + hashMap_t_len_s hm = 0 /\ // It contains no bindings - (forall k. hash_map_t_find_s hm k == None) /\ + (forall k. hashMap_t_find_s hm k == None) /\ // We need this low-level property for the invariant - (forall(i:nat{i < length hm.hash_map_slots}). index hm.hash_map_slots i == ListNil))) + (forall(i:nat{i < length hm.slots}). index hm.slots i == List_Nil))) #push-options "--z3rlimit 50 --fuel 1" -let hash_map_new_with_capacity_fwd_lem (t : Type0) (capacity : usize) +let hashMap_new_with_capacity_lem (t : Type0) (capacity : usize) (max_load_dividend : usize) (max_load_divisor : usize) = - let v = vec_new (list_t t) in + let v = alloc_vec_Vec_new (list_t t) in assert(length v = 0); - hash_map_allocate_slots_fwd_lem t v capacity; - begin match hash_map_allocate_slots_fwd t v capacity with + hashMap_allocate_slots_lem t v capacity; + begin match hashMap_allocate_slots t v capacity with | Fail _ -> assert(False) | Return v0 -> begin match usize_mul capacity max_load_dividend with @@ -582,9 +582,9 @@ let hash_map_new_with_capacity_fwd_lem (t : Type0) (capacity : usize) begin match usize_div i max_load_divisor with | Fail _ -> assert(False) | Return i0 -> - let hm = Mkhash_map_t 0 (max_load_dividend, max_load_divisor) i0 v0 in + let hm = MkhashMap_t 0 (max_load_dividend, max_load_divisor) i0 v0 in slots_t_all_nil_inv_lem v0; - slots_t_al_v_all_nil_is_empty_lem hm.hash_map_slots + slots_t_al_v_all_nil_is_empty_lem hm.slots end end end @@ -593,65 +593,65 @@ let hash_map_new_with_capacity_fwd_lem (t : Type0) (capacity : usize) (*** new *) /// [new] doesn't fail and returns an empty hash map -val hash_map_new_fwd_lem_aux (t : Type0) : +val hashMap_new_lem_aux (t : Type0) : Lemma (ensures ( - match hash_map_new_fwd t with + match hashMap_new t with | Fail _ -> False | Return hm -> // The hash map invariant is satisfied - hash_map_t_inv hm /\ + hashMap_t_inv hm /\ // The hash map has 0 values - hash_map_t_len_s hm = 0 /\ + hashMap_t_len_s hm = 0 /\ // It contains no bindings - (forall k. hash_map_t_find_s hm k == None))) + (forall k. hashMap_t_find_s hm k == None))) #push-options "--fuel 1" -let hash_map_new_fwd_lem_aux t = - hash_map_new_with_capacity_fwd_lem t 32 4 5; - match hash_map_new_with_capacity_fwd t 32 4 5 with +let hashMap_new_lem_aux t = + hashMap_new_with_capacity_lem t 32 4 5; + match hashMap_new_with_capacity t 32 4 5 with | Fail _ -> () | Return hm -> () #pop-options /// The lemma we reveal in the .fsti -let hash_map_new_fwd_lem t = hash_map_new_fwd_lem_aux t +let hashMap_new_lem t = hashMap_new_lem_aux t (*** clear *) /// [clear]: the loop doesn't fail and simply clears the slots starting at index i #push-options "--fuel 1" -let rec hash_map_clear_loop_fwd_back_lem - (t : Type0) (slots : vec (list_t t)) (i : usize) : +let rec hashMap_clear_loop_lem + (t : Type0) (slots : alloc_vec_Vec (list_t t)) (i : usize) : Lemma (ensures ( - match hash_map_clear_loop_fwd_back t slots i with + match hashMap_clear_loop t slots i with | Fail _ -> False | Return slots' -> // The length is preserved length slots' == length slots /\ // The slots before i are left unchanged (forall (j:nat{j < i /\ j < length slots}). index slots' j == index slots j) /\ - // The slots after i are set to ListNil - (forall (j:nat{i <= j /\ j < length slots}). index slots' j == ListNil))) - (decreases (hash_map_clear_loop_decreases t slots i)) + // The slots after i are set to List_Nil + (forall (j:nat{i <= j /\ j < length slots}). index slots' j == List_Nil))) + (decreases (hashMap_clear_loop_decreases t slots i)) = - let i0 = vec_len (list_t t) slots in + let i0 = alloc_vec_Vec_len (list_t t) slots in let b = i < i0 in if b then - begin match vec_index_mut_back (list_t t) slots i ListNil with + begin match alloc_vec_Vec_update_usize slots i List_Nil with | Fail _ -> () | Return v -> begin match usize_add i 1 with | Fail _ -> () | Return i1 -> - hash_map_clear_loop_fwd_back_lem t v i1; - begin match hash_map_clear_loop_fwd_back t v i1 with + hashMap_clear_loop_lem t v i1; + begin match hashMap_clear_loop t v i1 with | Fail _ -> () | Return slots1 -> assert(length slots1 == length slots); - assert(forall (j:nat{i+1 <= j /\ j < length slots}). index slots1 j == ListNil); - assert(index slots1 i == ListNil) + assert(forall (j:nat{i+1 <= j /\ j < length slots}). index slots1 j == List_Nil); + assert(index slots1 i == List_Nil) end end end @@ -659,80 +659,80 @@ let rec hash_map_clear_loop_fwd_back_lem #pop-options /// [clear] doesn't fail and turns the hash map into an empty map -val hash_map_clear_fwd_back_lem_aux - (#t : Type0) (self : hash_map_t t) : +val hashMap_clear_lem_aux + (#t : Type0) (self : hashMap_t t) : Lemma - (requires (hash_map_t_base_inv self)) + (requires (hashMap_t_base_inv self)) (ensures ( - match hash_map_clear_fwd_back t self with + match hashMap_clear t self with | Fail _ -> False | Return hm -> // The hash map invariant is satisfied - hash_map_t_base_inv hm /\ + hashMap_t_base_inv hm /\ // We preserved the parameters - hash_map_t_same_params hm self /\ + hashMap_t_same_params hm self /\ // The hash map has 0 values - hash_map_t_len_s hm = 0 /\ + hashMap_t_len_s hm = 0 /\ // It contains no bindings - (forall k. hash_map_t_find_s hm k == None))) + (forall k. hashMap_t_find_s hm k == None))) // Being lazy: fuel 1 helps a lot... #push-options "--fuel 1" -let hash_map_clear_fwd_back_lem_aux #t self = - let p = self.hash_map_max_load_factor in - let i = self.hash_map_max_load in - let v = self.hash_map_slots in - hash_map_clear_loop_fwd_back_lem t v 0; - begin match hash_map_clear_loop_fwd_back t v 0 with +let hashMap_clear_lem_aux #t self = + let p = self.max_load_factor in + let i = self.max_load in + let v = self.slots in + hashMap_clear_loop_lem t v 0; + begin match hashMap_clear_loop t v 0 with | Fail _ -> () | Return slots1 -> slots_t_al_v_all_nil_is_empty_lem slots1; - let hm1 = Mkhash_map_t 0 p i slots1 in - assert(hash_map_t_base_inv hm1); - assert(hash_map_t_inv hm1) + let hm1 = MkhashMap_t 0 p i slots1 in + assert(hashMap_t_base_inv hm1); + assert(hashMap_t_inv hm1) end #pop-options -let hash_map_clear_fwd_back_lem #t self = hash_map_clear_fwd_back_lem_aux #t self +let hashMap_clear_lem #t self = hashMap_clear_lem_aux #t self (*** len *) /// [len]: we link it to a non-failing function. /// Rk.: we might want to make an analysis to not use an error monad to translate /// functions which statically can't fail. -let hash_map_len_fwd_lem #t self = () +let hashMap_len_lem #t self = () (*** insert_in_list *) (**** insert_in_list'fwd *) -/// [insert_in_list_fwd]: returns true iff the key is not in the list (functional version) -val hash_map_insert_in_list_fwd_lem +/// [insert_in_list]: returns true iff the key is not in the list (functional version) +val hashMap_insert_in_list_lem (t : Type0) (key : usize) (value : t) (ls : list_t t) : Lemma (ensures ( - match hash_map_insert_in_list_fwd t key value ls with + match hashMap_insert_in_list t key value ls with | Fail _ -> False | Return b -> b <==> (slot_t_find_s key ls == None))) - (decreases (hash_map_insert_in_list_loop_decreases t key value ls)) + (decreases (hashMap_insert_in_list_loop_decreases t key value ls)) #push-options "--fuel 1" -let rec hash_map_insert_in_list_fwd_lem t key value ls = +let rec hashMap_insert_in_list_lem t key value ls = begin match ls with - | ListCons ckey cvalue ls0 -> + | List_Cons ckey cvalue ls0 -> let b = ckey = key in if b then () else begin - hash_map_insert_in_list_fwd_lem t key value ls0; - match hash_map_insert_in_list_fwd t key value ls0 with + hashMap_insert_in_list_lem t key value ls0; + match hashMap_insert_in_list t key value ls0 with | Fail _ -> () | Return b0 -> () end - | ListNil -> + | List_Nil -> assert(list_t_v ls == []); assert_norm(find (same_key #t key) [] == None) end @@ -748,7 +748,7 @@ let rec hash_map_insert_in_list_fwd_lem t key value ls = /// We write a helper which "captures" what [insert_in_list] does. /// We then reason about this helper to prove the high-level properties we want /// (functional properties, preservation of invariants, etc.). -let hash_map_insert_in_list_s +let hashMap_insert_in_list_s (#t : Type0) (key : usize) (value : t) (ls : list (binding t)) : list (binding t) = // Check if there is already a binding for the key @@ -761,86 +761,86 @@ let hash_map_insert_in_list_s find_update (same_key key) ls (key,value) /// [insert_in_list]: if the key is not in the map, appends a new bindings (functional version) -val hash_map_insert_in_list_back_lem_append_s +val hashMap_insert_in_list_back_lem_append_s (t : Type0) (key : usize) (value : t) (ls : list_t t) : Lemma (requires ( slot_t_find_s key ls == None)) (ensures ( - match hash_map_insert_in_list_back t key value ls with + match hashMap_insert_in_list_back t key value ls with | Fail _ -> False | Return ls' -> list_t_v ls' == list_t_v ls @ [(key,value)])) - (decreases (hash_map_insert_in_list_loop_decreases t key value ls)) + (decreases (hashMap_insert_in_list_loop_decreases t key value ls)) #push-options "--fuel 1" -let rec hash_map_insert_in_list_back_lem_append_s t key value ls = +let rec hashMap_insert_in_list_back_lem_append_s t key value ls = begin match ls with - | ListCons ckey cvalue ls0 -> + | List_Cons ckey cvalue ls0 -> let b = ckey = key in if b then () else begin - hash_map_insert_in_list_back_lem_append_s t key value ls0; - match hash_map_insert_in_list_back t key value ls0 with + hashMap_insert_in_list_back_lem_append_s t key value ls0; + match hashMap_insert_in_list_back t key value ls0 with | Fail _ -> () | Return l -> () end - | ListNil -> () + | List_Nil -> () end #pop-options /// [insert_in_list]: if the key is in the map, we update the binding (functional version) -val hash_map_insert_in_list_back_lem_update_s +val hashMap_insert_in_list_back_lem_update_s (t : Type0) (key : usize) (value : t) (ls : list_t t) : Lemma (requires ( Some? (find (same_key key) (list_t_v ls)))) (ensures ( - match hash_map_insert_in_list_back t key value ls with + match hashMap_insert_in_list_back t key value ls with | Fail _ -> False | Return ls' -> list_t_v ls' == find_update (same_key key) (list_t_v ls) (key,value))) - (decreases (hash_map_insert_in_list_loop_decreases t key value ls)) + (decreases (hashMap_insert_in_list_loop_decreases t key value ls)) #push-options "--fuel 1" -let rec hash_map_insert_in_list_back_lem_update_s t key value ls = +let rec hashMap_insert_in_list_back_lem_update_s t key value ls = begin match ls with - | ListCons ckey cvalue ls0 -> + | List_Cons ckey cvalue ls0 -> let b = ckey = key in if b then () else begin - hash_map_insert_in_list_back_lem_update_s t key value ls0; - match hash_map_insert_in_list_back t key value ls0 with + hashMap_insert_in_list_back_lem_update_s t key value ls0; + match hashMap_insert_in_list_back t key value ls0 with | Fail _ -> () | Return l -> () end - | ListNil -> () + | List_Nil -> () end #pop-options /// Put everything together -val hash_map_insert_in_list_back_lem_s +val hashMap_insert_in_list_back_lem_s (t : Type0) (key : usize) (value : t) (ls : list_t t) : Lemma (ensures ( - match hash_map_insert_in_list_back t key value ls with + match hashMap_insert_in_list_back t key value ls with | Fail _ -> False | Return ls' -> - list_t_v ls' == hash_map_insert_in_list_s key value (list_t_v ls))) + list_t_v ls' == hashMap_insert_in_list_s key value (list_t_v ls))) -let hash_map_insert_in_list_back_lem_s t key value ls = +let hashMap_insert_in_list_back_lem_s t key value ls = match find (same_key key) (list_t_v ls) with - | None -> hash_map_insert_in_list_back_lem_append_s t key value ls - | Some _ -> hash_map_insert_in_list_back_lem_update_s t key value ls + | None -> hashMap_insert_in_list_back_lem_append_s t key value ls + | Some _ -> hashMap_insert_in_list_back_lem_update_s t key value ls (**** Invariants of insert_in_list_s *) /// Auxiliary lemmas -/// We work on [hash_map_insert_in_list_s], the "high-level" version of [insert_in_list'back]. +/// We work on [hashMap_insert_in_list_s], the "high-level" version of [insert_in_list'back]. /// /// Note that in F* we can't have recursive proofs inside of other proofs, contrary /// to Coq, which makes it a bit cumbersome to prove auxiliary results like the @@ -893,14 +893,14 @@ let rec slot_s_inv_not_find_append_end_inv_lem t len key value ls = #pop-options /// [insert_in_list]: if the key is not in the map, appends a new bindings -val hash_map_insert_in_list_s_lem_append +val hashMap_insert_in_list_s_lem_append (t : Type0) (len : usize{len > 0}) (key : usize) (value : t) (ls : list (binding t)) : Lemma (requires ( slot_s_inv len (hash_mod_key key len) ls /\ slot_s_find key ls == None)) (ensures ( - let ls' = hash_map_insert_in_list_s key value ls in + let ls' = hashMap_insert_in_list_s key value ls in ls' == ls @ [(key,value)] /\ // The invariant is preserved slot_s_inv len (hash_mod_key key len) ls' /\ @@ -909,20 +909,20 @@ val hash_map_insert_in_list_s_lem_append // The other bindings are preserved (forall k'. k' <> key ==> slot_s_find k' ls' == slot_s_find k' ls))) -let hash_map_insert_in_list_s_lem_append t len key value ls = +let hashMap_insert_in_list_s_lem_append t len key value ls = slot_s_inv_not_find_append_end_inv_lem t len key value ls /// [insert_in_list]: if the key is not in the map, appends a new bindings (quantifiers) /// Rk.: we don't use this lemma. /// TODO: remove? -val hash_map_insert_in_list_back_lem_append +val hashMap_insert_in_list_back_lem_append (t : Type0) (len : usize{len > 0}) (key : usize) (value : t) (ls : list_t t) : Lemma (requires ( slot_t_inv len (hash_mod_key key len) ls /\ slot_t_find_s key ls == None)) (ensures ( - match hash_map_insert_in_list_back t key value ls with + match hashMap_insert_in_list_back t key value ls with | Fail _ -> False | Return ls' -> list_t_v ls' == list_t_v ls @ [(key,value)] /\ @@ -933,9 +933,9 @@ val hash_map_insert_in_list_back_lem_append // The other bindings are preserved (forall k'. k' <> key ==> slot_t_find_s k' ls' == slot_t_find_s k' ls))) -let hash_map_insert_in_list_back_lem_append t len key value ls = - hash_map_insert_in_list_back_lem_s t key value ls; - hash_map_insert_in_list_s_lem_append t len key value (list_t_v ls) +let hashMap_insert_in_list_back_lem_append t len key value ls = + hashMap_insert_in_list_back_lem_s t key value ls; + hashMap_insert_in_list_s_lem_append t len key value (list_t_v ls) (** Auxiliary lemmas: update case *) @@ -1013,14 +1013,14 @@ let rec slot_s_inv_find_append_end_inv_lem t len key value ls = #pop-options /// [insert_in_list]: if the key is in the map, update the bindings -val hash_map_insert_in_list_s_lem_update +val hashMap_insert_in_list_s_lem_update (t : Type0) (len : usize{len > 0}) (key : usize) (value : t) (ls : list (binding t)) : Lemma (requires ( slot_s_inv len (hash_mod_key key len) ls /\ Some? (slot_s_find key ls))) (ensures ( - let ls' = hash_map_insert_in_list_s key value ls in + let ls' = hashMap_insert_in_list_s key value ls in ls' == find_update (same_key key) ls (key,value) /\ // The invariant is preserved slot_s_inv len (hash_mod_key key len) ls' /\ @@ -1029,20 +1029,20 @@ val hash_map_insert_in_list_s_lem_update // The other bindings are preserved (forall k'. k' <> key ==> slot_s_find k' ls' == slot_s_find k' ls))) -let hash_map_insert_in_list_s_lem_update t len key value ls = +let hashMap_insert_in_list_s_lem_update t len key value ls = slot_s_inv_find_append_end_inv_lem t len key value ls /// [insert_in_list]: if the key is in the map, update the bindings /// TODO: not used: remove? -val hash_map_insert_in_list_back_lem_update +val hashMap_insert_in_list_back_lem_update (t : Type0) (len : usize{len > 0}) (key : usize) (value : t) (ls : list_t t) : Lemma (requires ( slot_t_inv len (hash_mod_key key len) ls /\ Some? (slot_t_find_s key ls))) (ensures ( - match hash_map_insert_in_list_back t key value ls with + match hashMap_insert_in_list_back t key value ls with | Fail _ -> False | Return ls' -> let als = list_t_v ls in @@ -1054,20 +1054,20 @@ val hash_map_insert_in_list_back_lem_update // The other bindings are preserved (forall k'. k' <> key ==> slot_t_find_s k' ls' == slot_t_find_s k' ls))) -let hash_map_insert_in_list_back_lem_update t len key value ls = - hash_map_insert_in_list_back_lem_s t key value ls; - hash_map_insert_in_list_s_lem_update t len key value (list_t_v ls) +let hashMap_insert_in_list_back_lem_update t len key value ls = + hashMap_insert_in_list_back_lem_s t key value ls; + hashMap_insert_in_list_s_lem_update t len key value (list_t_v ls) (** Final lemmas about [insert_in_list] *) /// High-level version -val hash_map_insert_in_list_s_lem +val hashMap_insert_in_list_s_lem (t : Type0) (len : usize{len > 0}) (key : usize) (value : t) (ls : list (binding t)) : Lemma (requires ( slot_s_inv len (hash_mod_key key len) ls)) (ensures ( - let ls' = hash_map_insert_in_list_s key value ls in + let ls' = hashMap_insert_in_list_s key value ls in // The invariant is preserved slot_s_inv len (hash_mod_key key len) ls' /\ // [key] maps to [value] @@ -1079,22 +1079,22 @@ val hash_map_insert_in_list_s_lem | None -> length ls' = length ls + 1 | Some _ -> length ls' = length ls))) -let hash_map_insert_in_list_s_lem t len key value ls = +let hashMap_insert_in_list_s_lem t len key value ls = match slot_s_find key ls with | None -> assert_norm(length [(key,value)] = 1); - hash_map_insert_in_list_s_lem_append t len key value ls + hashMap_insert_in_list_s_lem_append t len key value ls | Some _ -> - hash_map_insert_in_list_s_lem_update t len key value ls + hashMap_insert_in_list_s_lem_update t len key value ls /// [insert_in_list] /// TODO: not used: remove? -val hash_map_insert_in_list_back_lem +val hashMap_insert_in_list_back_lem (t : Type0) (len : usize{len > 0}) (key : usize) (value : t) (ls : list_t t) : Lemma (requires (slot_t_inv len (hash_mod_key key len) ls)) (ensures ( - match hash_map_insert_in_list_back t key value ls with + match hashMap_insert_in_list_back t key value ls with | Fail _ -> False | Return ls' -> // The invariant is preserved @@ -1111,127 +1111,127 @@ val hash_map_insert_in_list_back_lem | Some _ -> list_t_v ls' == find_update (same_key key) (list_t_v ls) (key,value) /\ list_t_len ls' = list_t_len ls))) - (decreases (hash_map_insert_in_list_loop_decreases t key value ls)) + (decreases (hashMap_insert_in_list_loop_decreases t key value ls)) -let hash_map_insert_in_list_back_lem t len key value ls = - hash_map_insert_in_list_back_lem_s t key value ls; - hash_map_insert_in_list_s_lem t len key value (list_t_v ls) +let hashMap_insert_in_list_back_lem t len key value ls = + hashMap_insert_in_list_back_lem_s t key value ls; + hashMap_insert_in_list_s_lem t len key value (list_t_v ls) (*** insert_no_resize *) (**** Refinement proof *) /// Same strategy as for [insert_in_list]: we introduce a high-level version of /// the function, and reason about it. -/// We work on [hash_map_s] (we use a higher-level view of the hash-map, but +/// We work on [hashMap_s] (we use a higher-level view of the hash-map, but /// not too high). /// A high-level version of insert, which doesn't check if the table is saturated -let hash_map_insert_no_fail_s - (#t : Type0) (hm : hash_map_s_nes t) +let hashMap_insert_no_fail_s + (#t : Type0) (hm : hashMap_s_nes t) (key : usize) (value : t) : - hash_map_s t = + hashMap_s t = let len = length hm in let i = hash_mod_key key len in let slot = index hm i in - let slot' = hash_map_insert_in_list_s key value slot in + let slot' = hashMap_insert_in_list_s key value slot in let hm' = list_update hm i slot' in hm' -// TODO: at some point I used hash_map_s_nes and it broke proofs...x -let hash_map_insert_no_resize_s - (#t : Type0) (hm : hash_map_s_nes t) +// TODO: at some point I used hashMap_s_nes and it broke proofs...x +let hashMap_insert_no_resize_s + (#t : Type0) (hm : hashMap_s_nes t) (key : usize) (value : t) : - result (hash_map_s t) = + result (hashMap_s t) = // Check if the table is saturated (too many entries, and we need to insert one) let num_entries = length (flatten hm) in - if None? (hash_map_s_find hm key) && num_entries = usize_max then Fail Failure - else Return (hash_map_insert_no_fail_s hm key value) + if None? (hashMap_s_find hm key) && num_entries = usize_max then Fail Failure + else Return (hashMap_insert_no_fail_s hm key value) -/// Prove that [hash_map_insert_no_resize_s] is refined by -/// [hash_map_insert_no_resize'fwd_back] -val hash_map_insert_no_resize_fwd_back_lem_s - (t : Type0) (self : hash_map_t t) (key : usize) (value : t) : +/// Prove that [hashMap_insert_no_resize_s] is refined by +/// [hashMap_insert_no_resize'fwd_back] +val hashMap_insert_no_resize_lem_s + (t : Type0) (self : hashMap_t t) (key : usize) (value : t) : Lemma (requires ( - hash_map_t_base_inv self /\ - hash_map_s_len (hash_map_t_v self) = hash_map_t_len_s self)) + hashMap_t_base_inv self /\ + hashMap_s_len (hashMap_t_v self) = hashMap_t_len_s self)) (ensures ( begin - match hash_map_insert_no_resize_fwd_back t self key value, - hash_map_insert_no_resize_s (hash_map_t_v self) key value + match hashMap_insert_no_resize t self key value, + hashMap_insert_no_resize_s (hashMap_t_v self) key value with | Fail _, Fail _ -> True | Return hm, Return hm_v -> - hash_map_t_base_inv hm /\ - hash_map_t_same_params hm self /\ - hash_map_t_v hm == hm_v /\ - hash_map_s_len hm_v == hash_map_t_len_s hm + hashMap_t_base_inv hm /\ + hashMap_t_same_params hm self /\ + hashMap_t_v hm == hm_v /\ + hashMap_s_len hm_v == hashMap_t_len_s hm | _ -> False end)) -let hash_map_insert_no_resize_fwd_back_lem_s t self key value = - begin match hash_key_fwd key with +let hashMap_insert_no_resize_lem_s t self key value = + begin match hash_key key with | Fail _ -> () | Return i -> - let i0 = self.hash_map_num_entries in - let p = self.hash_map_max_load_factor in - let i1 = self.hash_map_max_load in - let v = self.hash_map_slots in - let i2 = vec_len (list_t t) v in + let i0 = self.num_entries in + let p = self.max_load_factor in + let i1 = self.max_load in + let v = self.slots in + let i2 = alloc_vec_Vec_len (list_t t) v in let len = length v in begin match usize_rem i i2 with | Fail _ -> () | Return hash_mod -> - begin match vec_index_mut_fwd (list_t t) v hash_mod with + begin match alloc_vec_Vec_index_usize v hash_mod with | Fail _ -> () | Return l -> begin - // Checking that: list_t_v (index ...) == index (hash_map_t_v ...) ... - assert(list_t_v l == index (hash_map_t_v self) hash_mod); - hash_map_insert_in_list_fwd_lem t key value l; - match hash_map_insert_in_list_fwd t key value l with + // Checking that: list_t_v (index ...) == index (hashMap_t_v ...) ... + assert(list_t_v l == index (hashMap_t_v self) hash_mod); + hashMap_insert_in_list_lem t key value l; + match hashMap_insert_in_list t key value l with | Fail _ -> () | Return b -> assert(b = None? (slot_s_find key (list_t_v l))); - hash_map_insert_in_list_back_lem t len key value l; + hashMap_insert_in_list_back_lem t len key value l; if b then begin match usize_add i0 1 with | Fail _ -> () | Return i3 -> begin - match hash_map_insert_in_list_back t key value l with + match hashMap_insert_in_list_back t key value l with | Fail _ -> () | Return l0 -> - begin match vec_index_mut_back (list_t t) v hash_mod l0 with + begin match alloc_vec_Vec_update_usize v hash_mod l0 with | Fail _ -> () | Return v0 -> - let self_v = hash_map_t_v self in - let hm = Mkhash_map_t i3 p i1 v0 in - let hm_v = hash_map_t_v hm in + let self_v = hashMap_t_v self in + let hm = MkhashMap_t i3 p i1 v0 in + let hm_v = hashMap_t_v hm in assert(hm_v == list_update self_v hash_mod (list_t_v l0)); assert_norm(length [(key,value)] = 1); assert(length (list_t_v l0) = length (list_t_v l) + 1); length_flatten_update self_v hash_mod (list_t_v l0); - assert(hash_map_s_len hm_v = hash_map_t_len_s hm) + assert(hashMap_s_len hm_v = hashMap_t_len_s hm) end end end else begin - match hash_map_insert_in_list_back t key value l with + match hashMap_insert_in_list_back t key value l with | Fail _ -> () | Return l0 -> - begin match vec_index_mut_back (list_t t) v hash_mod l0 with + begin match alloc_vec_Vec_update_usize v hash_mod l0 with | Fail _ -> () | Return v0 -> - let self_v = hash_map_t_v self in - let hm = Mkhash_map_t i0 p i1 v0 in - let hm_v = hash_map_t_v hm in + let self_v = hashMap_t_v self in + let hm = MkhashMap_t i0 p i1 v0 in + let hm_v = hashMap_t_v hm in assert(hm_v == list_update self_v hash_mod (list_t_v l0)); assert(length (list_t_v l0) = length (list_t_v l)); length_flatten_update self_v hash_mod (list_t_v l0); - assert(hash_map_s_len hm_v = hash_map_t_len_s hm) + assert(hashMap_s_len hm_v = hashMap_t_len_s hm) end end end @@ -1241,108 +1241,108 @@ let hash_map_insert_no_resize_fwd_back_lem_s t self key value = (**** insert_{no_fail,no_resize}: invariants *) -let hash_map_s_updated_binding - (#t : Type0) (hm : hash_map_s_nes t) - (key : usize) (opt_value : option t) (hm' : hash_map_s_nes t) : Type0 = +let hashMap_s_updated_binding + (#t : Type0) (hm : hashMap_s_nes t) + (key : usize) (opt_value : option t) (hm' : hashMap_s_nes t) : Type0 = // [key] maps to [value] - hash_map_s_find hm' key == opt_value /\ + hashMap_s_find hm' key == opt_value /\ // The other bindings are preserved - (forall k'. k' <> key ==> hash_map_s_find hm' k' == hash_map_s_find hm k') + (forall k'. k' <> key ==> hashMap_s_find hm' k' == hashMap_s_find hm k') -let insert_post (#t : Type0) (hm : hash_map_s_nes t) - (key : usize) (value : t) (hm' : hash_map_s_nes t) : Type0 = +let insert_post (#t : Type0) (hm : hashMap_s_nes t) + (key : usize) (value : t) (hm' : hashMap_s_nes t) : Type0 = // The invariant is preserved - hash_map_s_inv hm' /\ + hashMap_s_inv hm' /\ // [key] maps to [value] and the other bindings are preserved - hash_map_s_updated_binding hm key (Some value) hm' /\ + hashMap_s_updated_binding hm key (Some value) hm' /\ // The length is incremented, iff we inserted a new key - (match hash_map_s_find hm key with - | None -> hash_map_s_len hm' = hash_map_s_len hm + 1 - | Some _ -> hash_map_s_len hm' = hash_map_s_len hm) + (match hashMap_s_find hm key with + | None -> hashMap_s_len hm' = hashMap_s_len hm + 1 + | Some _ -> hashMap_s_len hm' = hashMap_s_len hm) -val hash_map_insert_no_fail_s_lem - (#t : Type0) (hm : hash_map_s_nes t) +val hashMap_insert_no_fail_s_lem + (#t : Type0) (hm : hashMap_s_nes t) (key : usize) (value : t) : Lemma - (requires (hash_map_s_inv hm)) + (requires (hashMap_s_inv hm)) (ensures ( - let hm' = hash_map_insert_no_fail_s hm key value in + let hm' = hashMap_insert_no_fail_s hm key value in insert_post hm key value hm')) -let hash_map_insert_no_fail_s_lem #t hm key value = +let hashMap_insert_no_fail_s_lem #t hm key value = let len = length hm in let i = hash_mod_key key len in let slot = index hm i in - hash_map_insert_in_list_s_lem t len key value slot; - let slot' = hash_map_insert_in_list_s key value slot in + hashMap_insert_in_list_s_lem t len key value slot; + let slot' = hashMap_insert_in_list_s key value slot in length_flatten_update hm i slot' -val hash_map_insert_no_resize_s_lem - (#t : Type0) (hm : hash_map_s_nes t) +val hashMap_insert_no_resize_s_lem + (#t : Type0) (hm : hashMap_s_nes t) (key : usize) (value : t) : Lemma - (requires (hash_map_s_inv hm)) + (requires (hashMap_s_inv hm)) (ensures ( - match hash_map_insert_no_resize_s hm key value with + match hashMap_insert_no_resize_s hm key value with | Fail _ -> // Can fail only if we need to create a new binding in // an already saturated map - hash_map_s_len hm = usize_max /\ - None? (hash_map_s_find hm key) + hashMap_s_len hm = usize_max /\ + None? (hashMap_s_find hm key) | Return hm' -> insert_post hm key value hm')) -let hash_map_insert_no_resize_s_lem #t hm key value = +let hashMap_insert_no_resize_s_lem #t hm key value = let num_entries = length (flatten hm) in - if None? (hash_map_s_find hm key) && num_entries = usize_max then () - else hash_map_insert_no_fail_s_lem hm key value + if None? (hashMap_s_find hm key) && num_entries = usize_max then () + else hashMap_insert_no_fail_s_lem hm key value (**** find after insert *) /// Lemmas about what happens if we call [find] after an insertion -val hash_map_insert_no_resize_s_get_same_lem - (#t : Type0) (hm : hash_map_s t) +val hashMap_insert_no_resize_s_get_same_lem + (#t : Type0) (hm : hashMap_s t) (key : usize) (value : t) : - Lemma (requires (hash_map_s_inv hm)) + Lemma (requires (hashMap_s_inv hm)) (ensures ( - match hash_map_insert_no_resize_s hm key value with + match hashMap_insert_no_resize_s hm key value with | Fail _ -> True | Return hm' -> - hash_map_s_find hm' key == Some value)) + hashMap_s_find hm' key == Some value)) -let hash_map_insert_no_resize_s_get_same_lem #t hm key value = +let hashMap_insert_no_resize_s_get_same_lem #t hm key value = let num_entries = length (flatten hm) in - if None? (hash_map_s_find hm key) && num_entries = usize_max then () + if None? (hashMap_s_find hm key) && num_entries = usize_max then () else begin - let hm' = Return?.v (hash_map_insert_no_resize_s hm key value) in + let hm' = Return?.v (hashMap_insert_no_resize_s hm key value) in let len = length hm in let i = hash_mod_key key len in let slot = index hm i in - hash_map_insert_in_list_s_lem t len key value slot + hashMap_insert_in_list_s_lem t len key value slot end -val hash_map_insert_no_resize_s_get_diff_lem - (#t : Type0) (hm : hash_map_s t) +val hashMap_insert_no_resize_s_get_diff_lem + (#t : Type0) (hm : hashMap_s t) (key : usize) (value : t) (key' : usize{key' <> key}) : - Lemma (requires (hash_map_s_inv hm)) + Lemma (requires (hashMap_s_inv hm)) (ensures ( - match hash_map_insert_no_resize_s hm key value with + match hashMap_insert_no_resize_s hm key value with | Fail _ -> True | Return hm' -> - hash_map_s_find hm' key' == hash_map_s_find hm key')) + hashMap_s_find hm' key' == hashMap_s_find hm key')) -let hash_map_insert_no_resize_s_get_diff_lem #t hm key value key' = +let hashMap_insert_no_resize_s_get_diff_lem #t hm key value key' = let num_entries = length (flatten hm) in - if None? (hash_map_s_find hm key) && num_entries = usize_max then () + if None? (hashMap_s_find hm key) && num_entries = usize_max then () else begin - let hm' = Return?.v (hash_map_insert_no_resize_s hm key value) in + let hm' = Return?.v (hashMap_insert_no_resize_s hm key value) in let len = length hm in let i = hash_mod_key key len in let slot = index hm i in - hash_map_insert_in_list_s_lem t len key value slot; + hashMap_insert_in_list_s_lem t len key value slot; let i' = hash_mod_key key' len in if i <> i' then () else @@ -1354,116 +1354,116 @@ let hash_map_insert_no_resize_s_get_diff_lem #t hm key value key' = (*** move_elements_from_list *) -/// Having a great time here: if we use `result (hash_map_s_res t)` as the -/// return type for [hash_map_move_elements_from_list_s] instead of having this -/// awkward match, the proof of [hash_map_move_elements_fwd_back_lem_refin] fails. +/// Having a great time here: if we use `result (hashMap_s_res t)` as the +/// return type for [hashMap_move_elements_from_list_s] instead of having this +/// awkward match, the proof of [hashMap_move_elements_lem_refin] fails. /// I guess it comes from F*'s poor subtyping. -/// Followingly, I'm not taking any chance and using [result_hash_map_s] +/// Followingly, I'm not taking any chance and using [result_hashMap_s] /// everywhere. -type result_hash_map_s_nes (t : Type0) : Type0 = - res:result (hash_map_s t) { +type result_hashMap_s_nes (t : Type0) : Type0 = + res:result (hashMap_s t) { match res with | Fail _ -> True | Return hm -> is_pos_usize (length hm) } -let rec hash_map_move_elements_from_list_s - (#t : Type0) (hm : hash_map_s_nes t) +let rec hashMap_move_elements_from_list_s + (#t : Type0) (hm : hashMap_s_nes t) (ls : slot_s t) : - // Do *NOT* use `result (hash_map_s t)` - Tot (result_hash_map_s_nes t) + // Do *NOT* use `result (hashMap_s t)` + Tot (result_hashMap_s_nes t) (decreases ls) = match ls with | [] -> Return hm | (key, value) :: ls' -> - match hash_map_insert_no_resize_s hm key value with + match hashMap_insert_no_resize_s hm key value with | Fail e -> Fail e | Return hm' -> - hash_map_move_elements_from_list_s hm' ls' + hashMap_move_elements_from_list_s hm' ls' /// Refinement lemma -val hash_map_move_elements_from_list_fwd_back_lem - (t : Type0) (ntable : hash_map_t_nes t) (ls : list_t t) : - Lemma (requires (hash_map_t_base_inv ntable)) +val hashMap_move_elements_from_list_lem + (t : Type0) (ntable : hashMap_t_nes t) (ls : list_t t) : + Lemma (requires (hashMap_t_base_inv ntable)) (ensures ( - match hash_map_move_elements_from_list_fwd_back t ntable ls, - hash_map_move_elements_from_list_s (hash_map_t_v ntable) (slot_t_v ls) + match hashMap_move_elements_from_list t ntable ls, + hashMap_move_elements_from_list_s (hashMap_t_v ntable) (slot_t_v ls) with | Fail _, Fail _ -> True | Return hm', Return hm_v -> - hash_map_t_base_inv hm' /\ - hash_map_t_v hm' == hm_v /\ - hash_map_t_same_params hm' ntable + hashMap_t_base_inv hm' /\ + hashMap_t_v hm' == hm_v /\ + hashMap_t_same_params hm' ntable | _ -> False)) - (decreases (hash_map_move_elements_from_list_loop_decreases t ntable ls)) + (decreases (hashMap_move_elements_from_list_loop_decreases t ntable ls)) #push-options "--fuel 1" -let rec hash_map_move_elements_from_list_fwd_back_lem t ntable ls = +let rec hashMap_move_elements_from_list_lem t ntable ls = begin match ls with - | ListCons k v tl -> + | List_Cons k v tl -> assert(list_t_v ls == (k, v) :: list_t_v tl); let ls_v = list_t_v ls in let (_,_) :: tl_v = ls_v in - hash_map_insert_no_resize_fwd_back_lem_s t ntable k v; - begin match hash_map_insert_no_resize_fwd_back t ntable k v with + hashMap_insert_no_resize_lem_s t ntable k v; + begin match hashMap_insert_no_resize t ntable k v with | Fail _ -> () | Return h -> - let h_v = Return?.v (hash_map_insert_no_resize_s (hash_map_t_v ntable) k v) in - assert(hash_map_t_v h == h_v); - hash_map_move_elements_from_list_fwd_back_lem t h tl; - begin match hash_map_move_elements_from_list_fwd_back t h tl with + let h_v = Return?.v (hashMap_insert_no_resize_s (hashMap_t_v ntable) k v) in + assert(hashMap_t_v h == h_v); + hashMap_move_elements_from_list_lem t h tl; + begin match hashMap_move_elements_from_list t h tl with | Fail _ -> () | Return h0 -> () end end - | ListNil -> () + | List_Nil -> () end #pop-options (*** move_elements *) (**** move_elements: refinement 0 *) -/// The proof for [hash_map_move_elements_fwd_back_lem_refin] broke so many times +/// The proof for [hashMap_move_elements_lem_refin] broke so many times /// (while it is supposed to be super simple!) that we decided to add one refinement /// level, to really do things step by step... /// Doing this refinement layer made me notice that maybe the problem came from -/// the fact that at some point we have to prove `list_t_v ListNil == []`: I +/// the fact that at some point we have to prove `list_t_v List_Nil == []`: I /// added the corresponding assert to help Z3 and everything became stable. /// I finally didn't use this "simple" refinement lemma, but I still keep it here -/// because it allows for easy comparisons with [hash_map_move_elements_s]. +/// because it allows for easy comparisons with [hashMap_move_elements_s]. -/// [hash_map_move_elements_fwd] refines this function, which is actually almost +/// [hashMap_move_elements] refines this function, which is actually almost /// the same (just a little bit shorter and cleaner, and has a pre). /// /// The way I wrote the high-level model is the following: -/// - I copy-pasted the definition of [hash_map_move_elements_fwd], wrote the -/// signature which links this new definition to [hash_map_move_elements_fwd] and +/// - I copy-pasted the definition of [hashMap_move_elements], wrote the +/// signature which links this new definition to [hashMap_move_elements] and /// checked that the proof passed /// - I gradually simplified it, while making sure the proof still passes #push-options "--fuel 1" -let rec hash_map_move_elements_s_simpl - (t : Type0) (ntable : hash_map_t t) - (slots : vec (list_t t)) +let rec hashMap_move_elements_s_simpl + (t : Type0) (ntable : hashMap_t t) + (slots : alloc_vec_Vec (list_t t)) (i : usize{i <= length slots /\ length slots <= usize_max}) : - Pure (result ((hash_map_t t) & (vec (list_t t)))) + Pure (result ((hashMap_t t) & (alloc_vec_Vec (list_t t)))) (requires (True)) (ensures (fun res -> - match res, hash_map_move_elements_fwd_back t ntable slots i with + match res, hashMap_move_elements t ntable slots i with | Fail _, Fail _ -> True | Return (ntable1, slots1), Return (ntable2, slots2) -> ntable1 == ntable2 /\ slots1 == slots2 | _ -> False)) - (decreases (hash_map_move_elements_loop_decreases t ntable slots i)) + (decreases (hashMap_move_elements_loop_decreases t ntable slots i)) = if i < length slots then let slot = index slots i in - begin match hash_map_move_elements_from_list_fwd_back t ntable slot with + begin match hashMap_move_elements_from_list t ntable slot with | Fail e -> Fail e | Return hm' -> - let slots' = list_update slots i ListNil in - hash_map_move_elements_s_simpl t hm' slots' (i+1) + let slots' = list_update slots i List_Nil in + hashMap_move_elements_s_simpl t hm' slots' (i+1) end else Return (ntable, slots) #pop-options @@ -1476,71 +1476,71 @@ let rec hash_map_move_elements_s_simpl // Note that we ignore the returned slots (we thus don't return a pair: // only the new hash map in which we moved the elements from the slots): // this returned value is not used. -let rec hash_map_move_elements_s - (#t : Type0) (hm : hash_map_s_nes t) +let rec hashMap_move_elements_s + (#t : Type0) (hm : hashMap_s_nes t) (slots : slots_s t) (i : usize{i <= length slots /\ length slots <= usize_max}) : - Tot (result_hash_map_s_nes t) + Tot (result_hashMap_s_nes t) (decreases (length slots - i)) = let len = length slots in if i < len then begin let slot = index slots i in - match hash_map_move_elements_from_list_s hm slot with + match hashMap_move_elements_from_list_s hm slot with | Fail e -> Fail e | Return hm' -> let slots' = list_update slots i [] in - hash_map_move_elements_s hm' slots' (i+1) + hashMap_move_elements_s hm' slots' (i+1) end else Return hm -val hash_map_move_elements_fwd_back_lem_refin - (t : Type0) (ntable : hash_map_t t) - (slots : vec (list_t t)) (i : usize{i <= length slots}) : +val hashMap_move_elements_lem_refin + (t : Type0) (ntable : hashMap_t t) + (slots : alloc_vec_Vec (list_t t)) (i : usize{i <= length slots}) : Lemma (requires ( - hash_map_t_base_inv ntable)) + hashMap_t_base_inv ntable)) (ensures ( - match hash_map_move_elements_fwd_back t ntable slots i, - hash_map_move_elements_s (hash_map_t_v ntable) (slots_t_v slots) i + match hashMap_move_elements t ntable slots i, + hashMap_move_elements_s (hashMap_t_v ntable) (slots_t_v slots) i with | Fail _, Fail _ -> True // We will prove later that this is not possible | Return (ntable', _), Return ntable'_v -> - hash_map_t_base_inv ntable' /\ - hash_map_t_v ntable' == ntable'_v /\ - hash_map_t_same_params ntable' ntable + hashMap_t_base_inv ntable' /\ + hashMap_t_v ntable' == ntable'_v /\ + hashMap_t_same_params ntable' ntable | _ -> False)) (decreases (length slots - i)) #restart-solver #push-options "--fuel 1" -let rec hash_map_move_elements_fwd_back_lem_refin t ntable slots i = - assert(hash_map_t_base_inv ntable); - let i0 = vec_len (list_t t) slots in +let rec hashMap_move_elements_lem_refin t ntable slots i = + assert(hashMap_t_base_inv ntable); + let i0 = alloc_vec_Vec_len (list_t t) slots in let b = i < i0 in if b then - begin match vec_index_mut_fwd (list_t t) slots i with + begin match alloc_vec_Vec_index_usize slots i with | Fail _ -> () | Return l -> - let l0 = mem_replace_fwd (list_t t) l ListNil in + let l0 = core_mem_replace (list_t t) l List_Nil in assert(l0 == l); - hash_map_move_elements_from_list_fwd_back_lem t ntable l0; - begin match hash_map_move_elements_from_list_fwd_back t ntable l0 with + hashMap_move_elements_from_list_lem t ntable l0; + begin match hashMap_move_elements_from_list t ntable l0 with | Fail _ -> () | Return h -> - let l1 = mem_replace_back (list_t t) l ListNil in - assert(l1 == ListNil); - assert(slot_t_v #t ListNil == []); // THIS IS IMPORTANT - begin match vec_index_mut_back (list_t t) slots i l1 with + let l1 = core_mem_replace_back (list_t t) l List_Nil in + assert(l1 == List_Nil); + assert(slot_t_v #t List_Nil == []); // THIS IS IMPORTANT + begin match alloc_vec_Vec_update_usize slots i l1 with | Fail _ -> () | Return v -> begin match usize_add i 1 with | Fail _ -> () | Return i1 -> - hash_map_move_elements_fwd_back_lem_refin t h v i1; - begin match hash_map_move_elements_fwd_back t h v i1 with + hashMap_move_elements_lem_refin t h v i1; + begin match hashMap_move_elements t h v i1 with | Fail _ -> - assert(Fail? (hash_map_move_elements_fwd_back t ntable slots i)); + assert(Fail? (hashMap_move_elements t ntable slots i)); () | Return (ntable', v0) -> () end @@ -1560,19 +1560,19 @@ let rec hash_map_move_elements_fwd_back_lem_refin t ntable slots i = /// [ntable] is the hash map to which we move the elements /// [slots] is the current hash map, from which we remove the elements, and seen /// as a "flat" associative list (and not a list of lists) -/// This is actually exactly [hash_map_move_elements_from_list_s]... -let rec hash_map_move_elements_s_flat - (#t : Type0) (ntable : hash_map_s_nes t) +/// This is actually exactly [hashMap_move_elements_from_list_s]... +let rec hashMap_move_elements_s_flat + (#t : Type0) (ntable : hashMap_s_nes t) (slots : assoc_list t) : - Tot (result_hash_map_s_nes t) + Tot (result_hashMap_s_nes t) (decreases slots) = match slots with | [] -> Return ntable | (k,v) :: slots' -> - match hash_map_insert_no_resize_s ntable k v with + match hashMap_insert_no_resize_s ntable k v with | Fail e -> Fail e | Return ntable' -> - hash_map_move_elements_s_flat ntable' slots' + hashMap_move_elements_s_flat ntable' slots' /// The refinment lemmas /// First, auxiliary helpers. @@ -1656,42 +1656,42 @@ let rec flatten_nil_prefix_as_flatten_i #a l i = /// The proof is trivial, the functions are the same. /// Just keeping two definitions to allow changes... -val hash_map_move_elements_from_list_s_as_flat_lem - (#t : Type0) (hm : hash_map_s_nes t) +val hashMap_move_elements_from_list_s_as_flat_lem + (#t : Type0) (hm : hashMap_s_nes t) (ls : slot_s t) : Lemma (ensures ( - hash_map_move_elements_from_list_s hm ls == - hash_map_move_elements_s_flat hm ls)) + hashMap_move_elements_from_list_s hm ls == + hashMap_move_elements_s_flat hm ls)) (decreases ls) #push-options "--fuel 1" -let rec hash_map_move_elements_from_list_s_as_flat_lem #t hm ls = +let rec hashMap_move_elements_from_list_s_as_flat_lem #t hm ls = match ls with | [] -> () | (key, value) :: ls' -> - match hash_map_insert_no_resize_s hm key value with + match hashMap_insert_no_resize_s hm key value with | Fail _ -> () | Return hm' -> - hash_map_move_elements_from_list_s_as_flat_lem hm' ls' + hashMap_move_elements_from_list_s_as_flat_lem hm' ls' #pop-options -/// Composition of two calls to [hash_map_move_elements_s_flat] -let hash_map_move_elements_s_flat_comp - (#t : Type0) (hm : hash_map_s_nes t) (slot0 slot1 : slot_s t) : - Tot (result_hash_map_s_nes t) = - match hash_map_move_elements_s_flat hm slot0 with +/// Composition of two calls to [hashMap_move_elements_s_flat] +let hashMap_move_elements_s_flat_comp + (#t : Type0) (hm : hashMap_s_nes t) (slot0 slot1 : slot_s t) : + Tot (result_hashMap_s_nes t) = + match hashMap_move_elements_s_flat hm slot0 with | Fail e -> Fail e - | Return hm1 -> hash_map_move_elements_s_flat hm1 slot1 + | Return hm1 -> hashMap_move_elements_s_flat hm1 slot1 /// High-level desc: /// move_elements (move_elements hm slot0) slo1 == move_elements hm (slot0 @ slot1) -val hash_map_move_elements_s_flat_append_lem - (#t : Type0) (hm : hash_map_s_nes t) (slot0 slot1 : slot_s t) : +val hashMap_move_elements_s_flat_append_lem + (#t : Type0) (hm : hashMap_s_nes t) (slot0 slot1 : slot_s t) : Lemma (ensures ( - match hash_map_move_elements_s_flat_comp hm slot0 slot1, - hash_map_move_elements_s_flat hm (slot0 @ slot1) + match hashMap_move_elements_s_flat_comp hm slot0 slot1, + hashMap_move_elements_s_flat hm (slot0 @ slot1) with | Fail _, Fail _ -> True | Return hm1, Return hm2 -> hm1 == hm2 @@ -1699,14 +1699,14 @@ val hash_map_move_elements_s_flat_append_lem (decreases (slot0)) #push-options "--fuel 1" -let rec hash_map_move_elements_s_flat_append_lem #t hm slot0 slot1 = +let rec hashMap_move_elements_s_flat_append_lem #t hm slot0 slot1 = match slot0 with | [] -> () | (k,v) :: slot0' -> - match hash_map_insert_no_resize_s hm k v with + match hashMap_insert_no_resize_s hm k v with | Fail _ -> () | Return hm' -> - hash_map_move_elements_s_flat_append_lem hm' slot0' slot1 + hashMap_move_elements_s_flat_append_lem hm' slot0' slot1 #pop-options val flatten_i_same_suffix (#a : Type) (l0 l1 : list (list a)) (i : nat) : @@ -1726,16 +1726,16 @@ let rec flatten_i_same_suffix #a l0 l1 i = #pop-options /// Refinement lemma: -/// [hash_map_move_elements_s] refines [hash_map_move_elements_s_flat] +/// [hashMap_move_elements_s] refines [hashMap_move_elements_s_flat] /// (actually the functions are equal on all inputs). -val hash_map_move_elements_s_lem_refin_flat - (#t : Type0) (hm : hash_map_s_nes t) +val hashMap_move_elements_s_lem_refin_flat + (#t : Type0) (hm : hashMap_s_nes t) (slots : slots_s t) (i : nat{i <= length slots /\ length slots <= usize_max}) : Lemma (ensures ( - match hash_map_move_elements_s hm slots i, - hash_map_move_elements_s_flat hm (flatten_i slots i) + match hashMap_move_elements_s hm slots i, + hashMap_move_elements_s_flat hm (flatten_i slots i) with | Fail _, Fail _ -> True | Return hm, Return hm' -> hm == hm' @@ -1743,22 +1743,22 @@ val hash_map_move_elements_s_lem_refin_flat (decreases (length slots - i)) #push-options "--fuel 1" -let rec hash_map_move_elements_s_lem_refin_flat #t hm slots i = +let rec hashMap_move_elements_s_lem_refin_flat #t hm slots i = let len = length slots in if i < len then begin let slot = index slots i in - hash_map_move_elements_from_list_s_as_flat_lem hm slot; - match hash_map_move_elements_from_list_s hm slot with + hashMap_move_elements_from_list_s_as_flat_lem hm slot; + match hashMap_move_elements_from_list_s hm slot with | Fail _ -> assert(flatten_i slots i == slot @ flatten_i slots (i+1)); - hash_map_move_elements_s_flat_append_lem hm slot (flatten_i slots (i+1)); - assert(Fail? (hash_map_move_elements_s_flat hm (flatten_i slots i))) + hashMap_move_elements_s_flat_append_lem hm slot (flatten_i slots (i+1)); + assert(Fail? (hashMap_move_elements_s_flat hm (flatten_i slots i))) | Return hm' -> let slots' = list_update slots i [] in flatten_i_same_suffix slots slots' (i+1); - hash_map_move_elements_s_lem_refin_flat hm' slots' (i+1); - hash_map_move_elements_s_flat_append_lem hm slot (flatten_i slots' (i+1)); + hashMap_move_elements_s_lem_refin_flat hm' slots' (i+1); + hashMap_move_elements_s_flat_append_lem hm slot (flatten_i slots' (i+1)); () end else () @@ -1769,21 +1769,21 @@ let assoc_list_inv (#t : Type0) (al : assoc_list t) : Type0 = pairwise_rel binding_neq al let disjoint_hm_al_on_key - (#t : Type0) (hm : hash_map_s_nes t) (al : assoc_list t) (k : key) : Type0 = - match hash_map_s_find hm k, assoc_list_find k al with + (#t : Type0) (hm : hashMap_s_nes t) (al : assoc_list t) (k : key) : Type0 = + match hashMap_s_find hm k, assoc_list_find k al with | Some _, None | None, Some _ | None, None -> True | Some _, Some _ -> False /// Playing a dangerous game here: using forall quantifiers -let disjoint_hm_al (#t : Type0) (hm : hash_map_s_nes t) (al : assoc_list t) : Type0 = +let disjoint_hm_al (#t : Type0) (hm : hashMap_s_nes t) (al : assoc_list t) : Type0 = forall (k:key). disjoint_hm_al_on_key hm al k let find_in_union_hm_al - (#t : Type0) (hm : hash_map_s_nes t) (al : assoc_list t) (k : key) : + (#t : Type0) (hm : hashMap_s_nes t) (al : assoc_list t) (k : key) : option t = - match hash_map_s_find hm k with + match hashMap_s_find hm k with | Some b -> Some b | None -> assoc_list_find k al @@ -1799,58 +1799,58 @@ let rec for_all_binding_neq_find_lem #t k v al = | b :: al' -> for_all_binding_neq_find_lem k v al' #pop-options -val hash_map_move_elements_s_flat_lem - (#t : Type0) (hm : hash_map_s_nes t) (al : assoc_list t) : +val hashMap_move_elements_s_flat_lem + (#t : Type0) (hm : hashMap_s_nes t) (al : assoc_list t) : Lemma (requires ( // Invariants - hash_map_s_inv hm /\ + hashMap_s_inv hm /\ assoc_list_inv al /\ // The two are disjoint disjoint_hm_al hm al /\ // We can add all the elements to the hashmap - hash_map_s_len hm + length al <= usize_max)) + hashMap_s_len hm + length al <= usize_max)) (ensures ( - match hash_map_move_elements_s_flat hm al with + match hashMap_move_elements_s_flat hm al with | Fail _ -> False // We can't fail | Return hm' -> // The invariant is preserved - hash_map_s_inv hm' /\ + hashMap_s_inv hm' /\ // The new hash map is the union of the two maps - (forall (k:key). hash_map_s_find hm' k == find_in_union_hm_al hm al k) /\ - hash_map_s_len hm' = hash_map_s_len hm + length al)) + (forall (k:key). hashMap_s_find hm' k == find_in_union_hm_al hm al k) /\ + hashMap_s_len hm' = hashMap_s_len hm + length al)) (decreases al) #restart-solver #push-options "--z3rlimit 200 --fuel 1" -let rec hash_map_move_elements_s_flat_lem #t hm al = +let rec hashMap_move_elements_s_flat_lem #t hm al = match al with | [] -> () | (k,v) :: al' -> - hash_map_insert_no_resize_s_lem hm k v; - match hash_map_insert_no_resize_s hm k v with + hashMap_insert_no_resize_s_lem hm k v; + match hashMap_insert_no_resize_s hm k v with | Fail _ -> () | Return hm' -> - assert(hash_map_s_inv hm'); + assert(hashMap_s_inv hm'); assert(assoc_list_inv al'); let disjoint_lem (k' : key) : Lemma (disjoint_hm_al_on_key hm' al' k') [SMTPat (disjoint_hm_al_on_key hm' al' k')] = if k' = k then begin - assert(hash_map_s_find hm' k' == Some v); + assert(hashMap_s_find hm' k' == Some v); for_all_binding_neq_find_lem k v al'; assert(assoc_list_find k' al' == None) end else begin - assert(hash_map_s_find hm' k' == hash_map_s_find hm k'); + assert(hashMap_s_find hm' k' == hashMap_s_find hm k'); assert(assoc_list_find k' al' == assoc_list_find k' al) end in assert(disjoint_hm_al hm' al'); - assert(hash_map_s_len hm' + length al' <= usize_max); - hash_map_move_elements_s_flat_lem hm' al' + assert(hashMap_s_len hm' + length al' <= usize_max); + hashMap_move_elements_s_flat_lem hm' al' #pop-options /// We need to prove that the invariants on the "low-level" representations of @@ -1866,18 +1866,18 @@ let slots_t_inv_implies_slots_s_inv #t slots = // Problem is: I can never really predict for sure with F*... () -val hash_map_t_base_inv_implies_hash_map_s_inv - (#t : Type0) (hm : hash_map_t t) : - Lemma (requires (hash_map_t_base_inv hm)) - (ensures (hash_map_s_inv (hash_map_t_v hm))) +val hashMap_t_base_inv_implies_hashMap_s_inv + (#t : Type0) (hm : hashMap_t t) : + Lemma (requires (hashMap_t_base_inv hm)) + (ensures (hashMap_s_inv (hashMap_t_v hm))) -let hash_map_t_base_inv_implies_hash_map_s_inv #t hm = () // same as previous +let hashMap_t_base_inv_implies_hashMap_s_inv #t hm = () // same as previous /// Introducing a "partial" version of the hash map invariant, which operates on /// a suffix of the hash map. -let partial_hash_map_s_inv +let partial_hashMap_s_inv (#t : Type0) (len : usize{len > 0}) (offset : usize) - (hm : hash_map_s t{offset + length hm <= usize_max}) : Type0 = + (hm : hashMap_s t{offset + length hm <= usize_max}) : Type0 = forall(i:nat{i < length hm}). {:pattern index hm i} slot_s_inv len (offset + i) (index hm i) /// Auxiliary lemma. @@ -1887,13 +1887,13 @@ val binding_in_previous_slot_implies_neq (#t : Type0) (len : usize{len > 0}) (i : usize) (b : binding t) (offset : usize{i < offset}) - (slots : hash_map_s t{offset + length slots <= usize_max}) : + (slots : hashMap_s t{offset + length slots <= usize_max}) : Lemma (requires ( // The binding comes from a slot not in [slots] hash_mod_key (fst b) len = i /\ // The slots are the well-formed suffix of a hash map - partial_hash_map_s_inv len offset slots)) + partial_hashMap_s_inv len offset slots)) (ensures ( for_all (binding_neq b) (flatten slots))) (decreases slots) @@ -1924,17 +1924,17 @@ let rec binding_in_previous_slot_implies_neq #t len i b offset slots = for_all_append (binding_neq b) s (flatten slots') #pop-options -val partial_hash_map_s_inv_implies_assoc_list_lem +val partial_hashMap_s_inv_implies_assoc_list_lem (#t : Type0) (len : usize{len > 0}) (offset : usize) - (hm : hash_map_s t{offset + length hm <= usize_max}) : + (hm : hashMap_s t{offset + length hm <= usize_max}) : Lemma (requires ( - partial_hash_map_s_inv len offset hm)) + partial_hashMap_s_inv len offset hm)) (ensures (assoc_list_inv (flatten hm))) (decreases (length hm + length (flatten hm))) #push-options "--fuel 1" -let rec partial_hash_map_s_inv_implies_assoc_list_lem #t len offset hm = +let rec partial_hashMap_s_inv_implies_assoc_list_lem #t len offset hm = match hm with | [] -> () | slot :: hm' -> @@ -1943,8 +1943,8 @@ let rec partial_hash_map_s_inv_implies_assoc_list_lem #t len offset hm = match slot with | [] -> assert(flatten hm == flatten hm'); - assert(partial_hash_map_s_inv len (offset+1) hm'); // Triggers instantiations - partial_hash_map_s_inv_implies_assoc_list_lem len (offset+1) hm' + assert(partial_hashMap_s_inv len (offset+1) hm'); // Triggers instantiations + partial_hashMap_s_inv_implies_assoc_list_lem len (offset+1) hm' | x :: slot' -> assert(flatten (slot' :: hm') == slot' @ flatten hm'); let hm'' = slot' :: hm' in @@ -1953,45 +1953,45 @@ let rec partial_hash_map_s_inv_implies_assoc_list_lem #t len offset hm = assert(index hm 0 == slot); // Triggers instantiations assert(slot_s_inv len offset slot); assert(slot_s_inv len offset slot'); - assert(partial_hash_map_s_inv len offset hm''); - partial_hash_map_s_inv_implies_assoc_list_lem len offset (slot' :: hm'); + assert(partial_hashMap_s_inv len offset hm''); + partial_hashMap_s_inv_implies_assoc_list_lem len offset (slot' :: hm'); // Proving that the key in `x` is different from all the other keys in // the flattened map assert(for_all (binding_neq x) slot'); for_all_append (binding_neq x) slot' (flatten hm'); - assert(partial_hash_map_s_inv len (offset+1) hm'); + assert(partial_hashMap_s_inv len (offset+1) hm'); binding_in_previous_slot_implies_neq #t len offset x (offset+1) hm'; assert(for_all (binding_neq x) (flatten hm')); assert(for_all (binding_neq x) (flatten (slot' :: hm'))) #pop-options -val hash_map_s_inv_implies_assoc_list_lem - (#t : Type0) (hm : hash_map_s t) : - Lemma (requires (hash_map_s_inv hm)) +val hashMap_s_inv_implies_assoc_list_lem + (#t : Type0) (hm : hashMap_s t) : + Lemma (requires (hashMap_s_inv hm)) (ensures (assoc_list_inv (flatten hm))) -let hash_map_s_inv_implies_assoc_list_lem #t hm = - partial_hash_map_s_inv_implies_assoc_list_lem (length hm) 0 hm +let hashMap_s_inv_implies_assoc_list_lem #t hm = + partial_hashMap_s_inv_implies_assoc_list_lem (length hm) 0 hm -val hash_map_t_base_inv_implies_assoc_list_lem - (#t : Type0) (hm : hash_map_t t): - Lemma (requires (hash_map_t_base_inv hm)) - (ensures (assoc_list_inv (hash_map_t_al_v hm))) +val hashMap_t_base_inv_implies_assoc_list_lem + (#t : Type0) (hm : hashMap_t t): + Lemma (requires (hashMap_t_base_inv hm)) + (ensures (assoc_list_inv (hashMap_t_al_v hm))) -let hash_map_t_base_inv_implies_assoc_list_lem #t hm = - hash_map_s_inv_implies_assoc_list_lem (hash_map_t_v hm) +let hashMap_t_base_inv_implies_assoc_list_lem #t hm = + hashMap_s_inv_implies_assoc_list_lem (hashMap_t_v hm) /// For some reason, we can't write the below [forall] directly in the [ensures] /// clause of the next lemma: it makes Z3 fails even with a huge rlimit. /// I have no idea what's going on. -let hash_map_is_assoc_list - (#t : Type0) (ntable : hash_map_t t{length ntable.hash_map_slots > 0}) +let hashMap_is_assoc_list + (#t : Type0) (ntable : hashMap_t t{length ntable.slots > 0}) (al : assoc_list t) : Type0 = - (forall (k:key). hash_map_t_find_s ntable k == assoc_list_find k al) + (forall (k:key). hashMap_t_find_s ntable k == assoc_list_find k al) -let partial_hash_map_s_find +let partial_hashMap_s_find (#t : Type0) (len : usize{len > 0}) (offset : usize) - (hm : hash_map_s_nes t{offset + length hm = len}) + (hm : hashMap_s_nes t{offset + length hm = len}) (k : key{hash_mod_key k len >= offset}) : option t = let i = hash_mod_key k len in let slot = index hm (i - offset) in @@ -2021,13 +2021,13 @@ val key_in_previous_slot_implies_not_found (#t : Type0) (len : usize{len > 0}) (k : key) (offset : usize) - (slots : hash_map_s t{offset + length slots = len}) : + (slots : hashMap_s t{offset + length slots = len}) : Lemma (requires ( // The binding comes from a slot not in [slots] hash_mod_key k len < offset /\ // The slots are the well-formed suffix of a hash map - partial_hash_map_s_inv len offset slots)) + partial_hashMap_s_inv len offset slots)) (ensures ( assoc_list_find k (flatten slots) == None)) (decreases slots) @@ -2045,19 +2045,19 @@ let rec key_in_previous_slot_implies_not_found #t len k offset slots = key_in_previous_slot_implies_not_found len k (offset+1) slots' #pop-options -val partial_hash_map_s_is_assoc_list_lem +val partial_hashMap_s_is_assoc_list_lem (#t : Type0) (len : usize{len > 0}) (offset : usize) - (hm : hash_map_s_nes t{offset + length hm = len}) + (hm : hashMap_s_nes t{offset + length hm = len}) (k : key{hash_mod_key k len >= offset}) : Lemma (requires ( - partial_hash_map_s_inv len offset hm)) + partial_hashMap_s_inv len offset hm)) (ensures ( - partial_hash_map_s_find len offset hm k == assoc_list_find k (flatten hm))) + partial_hashMap_s_find len offset hm k == assoc_list_find k (flatten hm))) (decreases hm) #push-options "--fuel 1" -let rec partial_hash_map_s_is_assoc_list_lem #t len offset hm k = +let rec partial_hashMap_s_is_assoc_list_lem #t len offset hm k = match hm with | [] -> () | slot :: hm' -> @@ -2066,7 +2066,7 @@ let rec partial_hash_map_s_is_assoc_list_lem #t len offset hm k = if i = 0 then begin // We must look in the current slot - assert(partial_hash_map_s_find len offset hm k == slot_s_find k slot); + assert(partial_hashMap_s_find len offset hm k == slot_s_find k slot); find_append (same_key k) slot (flatten hm'); assert(forall (i:nat{i < length hm'}). index hm' i == index hm (i+1)); // Triggers instantiations key_in_previous_slot_implies_not_found #t len k (offset+1) hm'; @@ -2085,64 +2085,64 @@ let rec partial_hash_map_s_is_assoc_list_lem #t len offset hm k = else begin // We must ignore the current slot - assert(partial_hash_map_s_find len offset hm k == - partial_hash_map_s_find len (offset+1) hm' k); + assert(partial_hashMap_s_find len offset hm k == + partial_hashMap_s_find len (offset+1) hm' k); find_append (same_key k) slot (flatten hm'); assert(index hm 0 == slot); // Triggers instantiations not_same_hash_key_not_found_in_slot #t len k offset slot; assert(forall (i:nat{i < length hm'}). index hm' i == index hm (i+1)); // Triggers instantiations - partial_hash_map_s_is_assoc_list_lem #t len (offset+1) hm' k + partial_hashMap_s_is_assoc_list_lem #t len (offset+1) hm' k end #pop-options -val hash_map_is_assoc_list_lem (#t : Type0) (hm : hash_map_t t) : - Lemma (requires (hash_map_t_base_inv hm)) - (ensures (hash_map_is_assoc_list hm (hash_map_t_al_v hm))) +val hashMap_is_assoc_list_lem (#t : Type0) (hm : hashMap_t t) : + Lemma (requires (hashMap_t_base_inv hm)) + (ensures (hashMap_is_assoc_list hm (hashMap_t_al_v hm))) -let hash_map_is_assoc_list_lem #t hm = +let hashMap_is_assoc_list_lem #t hm = let aux (k:key) : - Lemma (hash_map_t_find_s hm k == assoc_list_find k (hash_map_t_al_v hm)) - [SMTPat (hash_map_t_find_s hm k)] = - let hm_v = hash_map_t_v hm in + Lemma (hashMap_t_find_s hm k == assoc_list_find k (hashMap_t_al_v hm)) + [SMTPat (hashMap_t_find_s hm k)] = + let hm_v = hashMap_t_v hm in let len = length hm_v in - partial_hash_map_s_is_assoc_list_lem #t len 0 hm_v k + partial_hashMap_s_is_assoc_list_lem #t len 0 hm_v k in () /// The final lemma about [move_elements]: calling it on an empty hash table moves /// all the elements to this empty table. -val hash_map_move_elements_fwd_back_lem - (t : Type0) (ntable : hash_map_t t) (slots : vec (list_t t)) : +val hashMap_move_elements_lem + (t : Type0) (ntable : hashMap_t t) (slots : alloc_vec_Vec (list_t t)) : Lemma (requires ( let al = flatten (slots_t_v slots) in - hash_map_t_base_inv ntable /\ + hashMap_t_base_inv ntable /\ length al <= usize_max /\ assoc_list_inv al /\ // The table is empty - hash_map_t_len_s ntable = 0 /\ - (forall (k:key). hash_map_t_find_s ntable k == None))) + hashMap_t_len_s ntable = 0 /\ + (forall (k:key). hashMap_t_find_s ntable k == None))) (ensures ( let al = flatten (slots_t_v slots) in - match hash_map_move_elements_fwd_back t ntable slots 0, - hash_map_move_elements_s_flat (hash_map_t_v ntable) al + match hashMap_move_elements t ntable slots 0, + hashMap_move_elements_s_flat (hashMap_t_v ntable) al with | Return (ntable', _), Return ntable'_v -> // The invariant is preserved - hash_map_t_base_inv ntable' /\ + hashMap_t_base_inv ntable' /\ // We preserved the parameters - hash_map_t_same_params ntable' ntable /\ + hashMap_t_same_params ntable' ntable /\ // The table has the same number of slots - length ntable'.hash_map_slots = length ntable.hash_map_slots /\ + length ntable'.slots = length ntable.slots /\ // The count is good - hash_map_t_len_s ntable' = length al /\ + hashMap_t_len_s ntable' = length al /\ // The table can be linked to its model (we need this only to reveal // "pretty" functional lemmas to the user in the fsti - so that we // can write lemmas with SMT patterns - this is very F* specific) - hash_map_t_v ntable' == ntable'_v /\ + hashMap_t_v ntable' == ntable'_v /\ // The new table contains exactly all the bindings from the slots - // Rk.: see the comment for [hash_map_is_assoc_list] - hash_map_is_assoc_list ntable' al + // Rk.: see the comment for [hashMap_is_assoc_list] + hashMap_is_assoc_list ntable' al | _ -> False // We can only succeed )) @@ -2154,41 +2154,41 @@ val hash_map_move_elements_fwd_back_lem // lack of ifuel (this kind of proofs is annoying, really). #restart-solver #push-options "--z3rlimit 100" -let hash_map_move_elements_fwd_back_lem t ntable slots = - let ntable_v = hash_map_t_v ntable in +let hashMap_move_elements_lem t ntable slots = + let ntable_v = hashMap_t_v ntable in let slots_v = slots_t_v slots in let al = flatten slots_v in - hash_map_move_elements_fwd_back_lem_refin t ntable slots 0; + hashMap_move_elements_lem_refin t ntable slots 0; begin - match hash_map_move_elements_fwd_back t ntable slots 0, - hash_map_move_elements_s ntable_v slots_v 0 + match hashMap_move_elements t ntable slots 0, + hashMap_move_elements_s ntable_v slots_v 0 with | Fail _, Fail _ -> () | Return (ntable', _), Return ntable'_v -> - assert(hash_map_t_base_inv ntable'); - assert(hash_map_t_v ntable' == ntable'_v) + assert(hashMap_t_base_inv ntable'); + assert(hashMap_t_v ntable' == ntable'_v) | _ -> assert(False) end; - hash_map_move_elements_s_lem_refin_flat ntable_v slots_v 0; + hashMap_move_elements_s_lem_refin_flat ntable_v slots_v 0; begin - match hash_map_move_elements_s ntable_v slots_v 0, - hash_map_move_elements_s_flat ntable_v (flatten_i slots_v 0) + match hashMap_move_elements_s ntable_v slots_v 0, + hashMap_move_elements_s_flat ntable_v (flatten_i slots_v 0) with | Fail _, Fail _ -> () | Return hm, Return hm' -> assert(hm == hm') | _ -> assert(False) end; flatten_0_is_flatten slots_v; // flatten_i slots_v 0 == flatten slots_v - hash_map_move_elements_s_flat_lem ntable_v al; - match hash_map_move_elements_fwd_back t ntable slots 0, - hash_map_move_elements_s_flat ntable_v al + hashMap_move_elements_s_flat_lem ntable_v al; + match hashMap_move_elements t ntable slots 0, + hashMap_move_elements_s_flat ntable_v al with | Return (ntable', _), Return ntable'_v -> - assert(hash_map_t_base_inv ntable'); - assert(length ntable'.hash_map_slots = length ntable.hash_map_slots); - assert(hash_map_t_len_s ntable' = length al); - assert(hash_map_t_v ntable' == ntable'_v); - assert(hash_map_is_assoc_list ntable' al) + assert(hashMap_t_base_inv ntable'); + assert(length ntable'.slots = length ntable.slots); + assert(hashMap_t_len_s ntable' = length al); + assert(hashMap_t_v ntable' == ntable'_v); + assert(hashMap_is_assoc_list ntable' al) | _ -> assert(False) #pop-options @@ -2197,47 +2197,47 @@ let hash_map_move_elements_fwd_back_lem t ntable slots = /// High-level model 1. /// This is one is slightly "crude": we just simplify a bit the function. -let hash_map_try_resize_s_simpl +let hashMap_try_resize_s_simpl (#t : Type0) - (hm : hash_map_t t) : - Pure (result (hash_map_t t)) + (hm : hashMap_t t) : + Pure (result (hashMap_t t)) (requires ( - let (divid, divis) = hm.hash_map_max_load_factor in + let (divid, divis) = hm.max_load_factor in divid > 0 /\ divis > 0)) (ensures (fun _ -> True)) = - let capacity = length hm.hash_map_slots in - let (divid, divis) = hm.hash_map_max_load_factor in + let capacity = length hm.slots in + let (divid, divis) = hm.max_load_factor in if capacity <= (usize_max / 2) / divid then let ncapacity : usize = capacity * 2 in - begin match hash_map_new_with_capacity_fwd t ncapacity divid divis with + begin match hashMap_new_with_capacity t ncapacity divid divis with | Fail e -> Fail e | Return ntable -> - match hash_map_move_elements_fwd_back t ntable hm.hash_map_slots 0 with + match hashMap_move_elements t ntable hm.slots 0 with | Fail e -> Fail e | Return (ntable', _) -> let hm = - { hm with hash_map_slots = ntable'.hash_map_slots; - hash_map_max_load = ntable'.hash_map_max_load } + { hm with slots = ntable'.slots; + max_load = ntable'.max_load } in Return hm end else Return hm -val hash_map_try_resize_fwd_back_lem_refin - (t : Type0) (self : hash_map_t t) : +val hashMap_try_resize_lem_refin + (t : Type0) (self : hashMap_t t) : Lemma (requires ( - let (divid, divis) = self.hash_map_max_load_factor in + let (divid, divis) = self.max_load_factor in divid > 0 /\ divis > 0)) (ensures ( - match hash_map_try_resize_fwd_back t self, - hash_map_try_resize_s_simpl self + match hashMap_try_resize t self, + hashMap_try_resize_s_simpl self with | Fail _, Fail _ -> True | Return hm1, Return hm2 -> hm1 == hm2 | _ -> False)) -let hash_map_try_resize_fwd_back_lem_refin t self = () +let hashMap_try_resize_lem_refin t self = () /// Isolating arithmetic proofs @@ -2342,78 +2342,78 @@ let new_max_load_lem len capacity divid divis = assert(nmax_load >= max_load + 1) #pop-options -val hash_map_try_resize_s_simpl_lem (#t : Type0) (hm : hash_map_t t) : +val hashMap_try_resize_s_simpl_lem (#t : Type0) (hm : hashMap_t t) : Lemma (requires ( // The base invariant is satisfied - hash_map_t_base_inv hm /\ + hashMap_t_base_inv hm /\ // However, the "full" invariant is broken, as we call [try_resize] // only if the current number of entries is > the max load. // // There are two situations: // - either we just reached the max load // - or we were already saturated and can't resize - (let (dividend, divisor) = hm.hash_map_max_load_factor in - hm.hash_map_num_entries == hm.hash_map_max_load + 1 \/ - length hm.hash_map_slots * 2 * dividend > usize_max) + (let (dividend, divisor) = hm.max_load_factor in + hm.num_entries == hm.max_load + 1 \/ + length hm.slots * 2 * dividend > usize_max) )) (ensures ( - match hash_map_try_resize_s_simpl hm with + match hashMap_try_resize_s_simpl hm with | Fail _ -> False | Return hm' -> // The full invariant is now satisfied (the full invariant is "base // invariant" + the map is not overloaded (or can't be resized because // already too big) - hash_map_t_inv hm' /\ + hashMap_t_inv hm' /\ // It contains the same bindings as the initial map - (forall (k:key). hash_map_t_find_s hm' k == hash_map_t_find_s hm k))) + (forall (k:key). hashMap_t_find_s hm' k == hashMap_t_find_s hm k))) #restart-solver #push-options "--z3rlimit 400" -let hash_map_try_resize_s_simpl_lem #t hm = - let capacity = length hm.hash_map_slots in - let (divid, divis) = hm.hash_map_max_load_factor in +let hashMap_try_resize_s_simpl_lem #t hm = + let capacity = length hm.slots in + let (divid, divis) = hm.max_load_factor in if capacity <= (usize_max / 2) / divid then begin let ncapacity : usize = capacity * 2 in assert(ncapacity * divid <= usize_max); - assert(hash_map_t_len_s hm = hm.hash_map_max_load + 1); - new_max_load_lem (hash_map_t_len_s hm) capacity divid divis; - hash_map_new_with_capacity_fwd_lem t ncapacity divid divis; - match hash_map_new_with_capacity_fwd t ncapacity divid divis with + assert(hashMap_t_len_s hm = hm.max_load + 1); + new_max_load_lem (hashMap_t_len_s hm) capacity divid divis; + hashMap_new_with_capacity_lem t ncapacity divid divis; + match hashMap_new_with_capacity t ncapacity divid divis with | Fail _ -> () | Return ntable -> - let slots = hm.hash_map_slots in + let slots = hm.slots in let al = flatten (slots_t_v slots) in - // Proving that: length al = hm.hash_map_num_entries + // Proving that: length al = hm.num_entries assert(al == flatten (map slot_t_v slots)); assert(al == flatten (map list_t_v slots)); - assert(hash_map_t_al_v hm == flatten (hash_map_t_v hm)); - assert(hash_map_t_al_v hm == flatten (map list_t_v hm.hash_map_slots)); - assert(al == hash_map_t_al_v hm); - assert(hash_map_t_base_inv ntable); - assert(length al = hm.hash_map_num_entries); + assert(hashMap_t_al_v hm == flatten (hashMap_t_v hm)); + assert(hashMap_t_al_v hm == flatten (map list_t_v hm.slots)); + assert(al == hashMap_t_al_v hm); + assert(hashMap_t_base_inv ntable); + assert(length al = hm.num_entries); assert(length al <= usize_max); - hash_map_t_base_inv_implies_assoc_list_lem hm; + hashMap_t_base_inv_implies_assoc_list_lem hm; assert(assoc_list_inv al); - assert(hash_map_t_len_s ntable = 0); - assert(forall (k:key). hash_map_t_find_s ntable k == None); - hash_map_move_elements_fwd_back_lem t ntable hm.hash_map_slots; - match hash_map_move_elements_fwd_back t ntable hm.hash_map_slots 0 with + assert(hashMap_t_len_s ntable = 0); + assert(forall (k:key). hashMap_t_find_s ntable k == None); + hashMap_move_elements_lem t ntable hm.slots; + match hashMap_move_elements t ntable hm.slots 0 with | Fail _ -> () | Return (ntable', _) -> - hash_map_is_assoc_list_lem hm; - assert(hash_map_is_assoc_list hm (hash_map_t_al_v hm)); + hashMap_is_assoc_list_lem hm; + assert(hashMap_is_assoc_list hm (hashMap_t_al_v hm)); let hm' = - { hm with hash_map_slots = ntable'.hash_map_slots; - hash_map_max_load = ntable'.hash_map_max_load } + { hm with slots = ntable'.slots; + max_load = ntable'.max_load } in - assert(hash_map_t_base_inv ntable'); - assert(hash_map_t_base_inv hm'); - assert(hash_map_t_len_s hm' = hash_map_t_len_s hm); - new_max_load_lem (hash_map_t_len_s hm') capacity divid divis; - assert(hash_map_t_len_s hm' <= hm'.hash_map_max_load); // Requires a lemma - assert(hash_map_t_inv hm') + assert(hashMap_t_base_inv ntable'); + assert(hashMap_t_base_inv hm'); + assert(hashMap_t_len_s hm' = hashMap_t_len_s hm); + new_max_load_lem (hashMap_t_len_s hm') capacity divid divis; + assert(hashMap_t_len_s hm' <= hm'.max_load); // Requires a lemma + assert(hashMap_t_inv hm') end else begin @@ -2422,203 +2422,203 @@ let hash_map_try_resize_s_simpl_lem #t hm = end #pop-options -let hash_map_t_same_bindings (#t : Type0) (hm hm' : hash_map_t_nes t) : Type0 = - forall (k:key). hash_map_t_find_s hm k == hash_map_t_find_s hm' k +let hashMap_t_same_bindings (#t : Type0) (hm hm' : hashMap_t_nes t) : Type0 = + forall (k:key). hashMap_t_find_s hm k == hashMap_t_find_s hm' k /// The final lemma about [try_resize] -val hash_map_try_resize_fwd_back_lem (#t : Type0) (hm : hash_map_t t) : +val hashMap_try_resize_lem (#t : Type0) (hm : hashMap_t t) : Lemma (requires ( - hash_map_t_base_inv hm /\ + hashMap_t_base_inv hm /\ // However, the "full" invariant is broken, as we call [try_resize] // only if the current number of entries is > the max load. // // There are two situations: // - either we just reached the max load // - or we were already saturated and can't resize - (let (dividend, divisor) = hm.hash_map_max_load_factor in - hm.hash_map_num_entries == hm.hash_map_max_load + 1 \/ - length hm.hash_map_slots * 2 * dividend > usize_max))) + (let (dividend, divisor) = hm.max_load_factor in + hm.num_entries == hm.max_load + 1 \/ + length hm.slots * 2 * dividend > usize_max))) (ensures ( - match hash_map_try_resize_fwd_back t hm with + match hashMap_try_resize t hm with | Fail _ -> False | Return hm' -> // The full invariant is now satisfied (the full invariant is "base // invariant" + the map is not overloaded (or can't be resized because // already too big) - hash_map_t_inv hm' /\ + hashMap_t_inv hm' /\ // The length is the same - hash_map_t_len_s hm' = hash_map_t_len_s hm /\ + hashMap_t_len_s hm' = hashMap_t_len_s hm /\ // It contains the same bindings as the initial map - hash_map_t_same_bindings hm' hm)) + hashMap_t_same_bindings hm' hm)) -let hash_map_try_resize_fwd_back_lem #t hm = - hash_map_try_resize_fwd_back_lem_refin t hm; - hash_map_try_resize_s_simpl_lem hm +let hashMap_try_resize_lem #t hm = + hashMap_try_resize_lem_refin t hm; + hashMap_try_resize_s_simpl_lem hm (*** insert *) /// The high-level model (very close to the original function: we don't need something /// very high level, just to clean it a bit) -let hash_map_insert_s - (#t : Type0) (self : hash_map_t t) (key : usize) (value : t) : - result (hash_map_t t) = - match hash_map_insert_no_resize_fwd_back t self key value with +let hashMap_insert_s + (#t : Type0) (self : hashMap_t t) (key : usize) (value : t) : + result (hashMap_t t) = + match hashMap_insert_no_resize t self key value with | Fail e -> Fail e | Return hm' -> - if hash_map_t_len_s hm' > hm'.hash_map_max_load then - hash_map_try_resize_fwd_back t hm' + if hashMap_t_len_s hm' > hm'.max_load then + hashMap_try_resize t hm' else Return hm' -val hash_map_insert_fwd_back_lem_refin - (t : Type0) (self : hash_map_t t) (key : usize) (value : t) : +val hashMap_insert_lem_refin + (t : Type0) (self : hashMap_t t) (key : usize) (value : t) : Lemma (requires True) (ensures ( - match hash_map_insert_fwd_back t self key value, - hash_map_insert_s self key value + match hashMap_insert t self key value, + hashMap_insert_s self key value with | Fail _, Fail _ -> True | Return hm1, Return hm2 -> hm1 == hm2 | _ -> False)) -let hash_map_insert_fwd_back_lem_refin t self key value = () +let hashMap_insert_lem_refin t self key value = () /// Helper -let hash_map_insert_fwd_back_bindings_lem - (t : Type0) (self : hash_map_t_nes t) (key : usize) (value : t) - (hm' hm'' : hash_map_t_nes t) : +let hashMap_insert_bindings_lem + (t : Type0) (self : hashMap_t_nes t) (key : usize) (value : t) + (hm' hm'' : hashMap_t_nes t) : Lemma (requires ( - hash_map_s_updated_binding (hash_map_t_v self) key - (Some value) (hash_map_t_v hm') /\ - hash_map_t_same_bindings hm' hm'')) + hashMap_s_updated_binding (hashMap_t_v self) key + (Some value) (hashMap_t_v hm') /\ + hashMap_t_same_bindings hm' hm'')) (ensures ( - hash_map_s_updated_binding (hash_map_t_v self) key - (Some value) (hash_map_t_v hm''))) + hashMap_s_updated_binding (hashMap_t_v self) key + (Some value) (hashMap_t_v hm''))) = () -val hash_map_insert_fwd_back_lem_aux - (#t : Type0) (self : hash_map_t t) (key : usize) (value : t) : - Lemma (requires (hash_map_t_inv self)) +val hashMap_insert_lem_aux + (#t : Type0) (self : hashMap_t t) (key : usize) (value : t) : + Lemma (requires (hashMap_t_inv self)) (ensures ( - match hash_map_insert_fwd_back t self key value with + match hashMap_insert t self key value with | Fail _ -> // We can fail only if: // - the key is not in the map and we need to add it // - we are already saturated - hash_map_t_len_s self = usize_max /\ - None? (hash_map_t_find_s self key) + hashMap_t_len_s self = usize_max /\ + None? (hashMap_t_find_s self key) | Return hm' -> // The invariant is preserved - hash_map_t_inv hm' /\ + hashMap_t_inv hm' /\ // [key] maps to [value] and the other bindings are preserved - hash_map_s_updated_binding (hash_map_t_v self) key (Some value) (hash_map_t_v hm') /\ + hashMap_s_updated_binding (hashMap_t_v self) key (Some value) (hashMap_t_v hm') /\ // The length is incremented, iff we inserted a new key - (match hash_map_t_find_s self key with - | None -> hash_map_t_len_s hm' = hash_map_t_len_s self + 1 - | Some _ -> hash_map_t_len_s hm' = hash_map_t_len_s self))) + (match hashMap_t_find_s self key with + | None -> hashMap_t_len_s hm' = hashMap_t_len_s self + 1 + | Some _ -> hashMap_t_len_s hm' = hashMap_t_len_s self))) #restart-solver #push-options "--z3rlimit 200" -let hash_map_insert_fwd_back_lem_aux #t self key value = - hash_map_insert_no_resize_fwd_back_lem_s t self key value; - hash_map_insert_no_resize_s_lem (hash_map_t_v self) key value; - match hash_map_insert_no_resize_fwd_back t self key value with +let hashMap_insert_lem_aux #t self key value = + hashMap_insert_no_resize_lem_s t self key value; + hashMap_insert_no_resize_s_lem (hashMap_t_v self) key value; + match hashMap_insert_no_resize t self key value with | Fail _ -> () | Return hm' -> - // Expanding the post of [hash_map_insert_no_resize_fwd_back_lem_s] - let self_v = hash_map_t_v self in - let hm'_v = Return?.v (hash_map_insert_no_resize_s self_v key value) in - assert(hash_map_t_base_inv hm'); - assert(hash_map_t_same_params hm' self); - assert(hash_map_t_v hm' == hm'_v); - assert(hash_map_s_len hm'_v == hash_map_t_len_s hm'); - // Expanding the post of [hash_map_insert_no_resize_s_lem] + // Expanding the post of [hashMap_insert_no_resize_lem_s] + let self_v = hashMap_t_v self in + let hm'_v = Return?.v (hashMap_insert_no_resize_s self_v key value) in + assert(hashMap_t_base_inv hm'); + assert(hashMap_t_same_params hm' self); + assert(hashMap_t_v hm' == hm'_v); + assert(hashMap_s_len hm'_v == hashMap_t_len_s hm'); + // Expanding the post of [hashMap_insert_no_resize_s_lem] assert(insert_post self_v key value hm'_v); // Expanding [insert_post] - assert(hash_map_s_inv hm'_v); + assert(hashMap_s_inv hm'_v); assert( - match hash_map_s_find self_v key with - | None -> hash_map_s_len hm'_v = hash_map_s_len self_v + 1 - | Some _ -> hash_map_s_len hm'_v = hash_map_s_len self_v); - if hash_map_t_len_s hm' > hm'.hash_map_max_load then + match hashMap_s_find self_v key with + | None -> hashMap_s_len hm'_v = hashMap_s_len self_v + 1 + | Some _ -> hashMap_s_len hm'_v = hashMap_s_len self_v); + if hashMap_t_len_s hm' > hm'.max_load then begin - hash_map_try_resize_fwd_back_lem hm'; - // Expanding the post of [hash_map_try_resize_fwd_back_lem] - let hm'' = Return?.v (hash_map_try_resize_fwd_back t hm') in - assert(hash_map_t_inv hm''); - let hm''_v = hash_map_t_v hm'' in - assert(forall k. hash_map_t_find_s hm'' k == hash_map_t_find_s hm' k); - assert(hash_map_t_len_s hm'' = hash_map_t_len_s hm'); // TODO + hashMap_try_resize_lem hm'; + // Expanding the post of [hashMap_try_resize_lem] + let hm'' = Return?.v (hashMap_try_resize t hm') in + assert(hashMap_t_inv hm''); + let hm''_v = hashMap_t_v hm'' in + assert(forall k. hashMap_t_find_s hm'' k == hashMap_t_find_s hm' k); + assert(hashMap_t_len_s hm'' = hashMap_t_len_s hm'); // TODO // Proving the post - assert(hash_map_t_inv hm''); - hash_map_insert_fwd_back_bindings_lem t self key value hm' hm''; + assert(hashMap_t_inv hm''); + hashMap_insert_bindings_lem t self key value hm' hm''; assert( - match hash_map_t_find_s self key with - | None -> hash_map_t_len_s hm'' = hash_map_t_len_s self + 1 - | Some _ -> hash_map_t_len_s hm'' = hash_map_t_len_s self) + match hashMap_t_find_s self key with + | None -> hashMap_t_len_s hm'' = hashMap_t_len_s self + 1 + | Some _ -> hashMap_t_len_s hm'' = hashMap_t_len_s self) end else () #pop-options -let hash_map_insert_fwd_back_lem #t self key value = - hash_map_insert_fwd_back_lem_aux #t self key value +let hashMap_insert_lem #t self key value = + hashMap_insert_lem_aux #t self key value (*** contains_key *) (**** contains_key_in_list *) -val hash_map_contains_key_in_list_fwd_lem +val hashMap_contains_key_in_list_lem (#t : Type0) (key : usize) (ls : list_t t) : Lemma (ensures ( - match hash_map_contains_key_in_list_fwd t key ls with + match hashMap_contains_key_in_list t key ls with | Fail _ -> False | Return b -> b = Some? (slot_t_find_s key ls))) #push-options "--fuel 1" -let rec hash_map_contains_key_in_list_fwd_lem #t key ls = +let rec hashMap_contains_key_in_list_lem #t key ls = match ls with - | ListCons ckey x ls0 -> + | List_Cons ckey x ls0 -> let b = ckey = key in if b then () else begin - hash_map_contains_key_in_list_fwd_lem key ls0; - match hash_map_contains_key_in_list_fwd t key ls0 with + hashMap_contains_key_in_list_lem key ls0; + match hashMap_contains_key_in_list t key ls0 with | Fail _ -> () | Return b0 -> () end - | ListNil -> () + | List_Nil -> () #pop-options (**** contains_key *) -val hash_map_contains_key_fwd_lem_aux - (#t : Type0) (self : hash_map_t_nes t) (key : usize) : +val hashMap_contains_key_lem_aux + (#t : Type0) (self : hashMap_t_nes t) (key : usize) : Lemma (ensures ( - match hash_map_contains_key_fwd t self key with + match hashMap_contains_key t self key with | Fail _ -> False - | Return b -> b = Some? (hash_map_t_find_s self key))) + | Return b -> b = Some? (hashMap_t_find_s self key))) -let hash_map_contains_key_fwd_lem_aux #t self key = - begin match hash_key_fwd key with +let hashMap_contains_key_lem_aux #t self key = + begin match hash_key key with | Fail _ -> () | Return i -> - let v = self.hash_map_slots in - let i0 = vec_len (list_t t) v in + let v = self.slots in + let i0 = alloc_vec_Vec_len (list_t t) v in begin match usize_rem i i0 with | Fail _ -> () | Return hash_mod -> - begin match vec_index_fwd (list_t t) v hash_mod with + begin match alloc_vec_Vec_index_usize v hash_mod with | Fail _ -> () | Return l -> - hash_map_contains_key_in_list_fwd_lem key l; - begin match hash_map_contains_key_in_list_fwd t key l with + hashMap_contains_key_in_list_lem key l; + begin match hashMap_contains_key_in_list t key l with | Fail _ -> () | Return b -> () end @@ -2627,66 +2627,66 @@ let hash_map_contains_key_fwd_lem_aux #t self key = end /// The lemma in the .fsti -let hash_map_contains_key_fwd_lem #t self key = - hash_map_contains_key_fwd_lem_aux #t self key +let hashMap_contains_key_lem #t self key = + hashMap_contains_key_lem_aux #t self key (*** get *) (**** get_in_list *) -val hash_map_get_in_list_fwd_lem +val hashMap_get_in_list_lem (#t : Type0) (key : usize) (ls : list_t t) : Lemma (ensures ( - match hash_map_get_in_list_fwd t key ls, slot_t_find_s key ls with + match hashMap_get_in_list t key ls, slot_t_find_s key ls with | Fail _, None -> True | Return x, Some x' -> x == x' | _ -> False)) #push-options "--fuel 1" -let rec hash_map_get_in_list_fwd_lem #t key ls = +let rec hashMap_get_in_list_lem #t key ls = begin match ls with - | ListCons ckey cvalue ls0 -> + | List_Cons ckey cvalue ls0 -> let b = ckey = key in if b then () else begin - hash_map_get_in_list_fwd_lem key ls0; - match hash_map_get_in_list_fwd t key ls0 with + hashMap_get_in_list_lem key ls0; + match hashMap_get_in_list t key ls0 with | Fail _ -> () | Return x -> () end - | ListNil -> () + | List_Nil -> () end #pop-options (**** get *) -val hash_map_get_fwd_lem_aux - (#t : Type0) (self : hash_map_t_nes t) (key : usize) : +val hashMap_get_lem_aux + (#t : Type0) (self : hashMap_t_nes t) (key : usize) : Lemma (ensures ( - match hash_map_get_fwd t self key, hash_map_t_find_s self key with + match hashMap_get t self key, hashMap_t_find_s self key with | Fail _, None -> True | Return x, Some x' -> x == x' | _ -> False)) -let hash_map_get_fwd_lem_aux #t self key = - begin match hash_key_fwd key with +let hashMap_get_lem_aux #t self key = + begin match hash_key key with | Fail _ -> () | Return i -> - let v = self.hash_map_slots in - let i0 = vec_len (list_t t) v in + let v = self.slots in + let i0 = alloc_vec_Vec_len (list_t t) v in begin match usize_rem i i0 with | Fail _ -> () | Return hash_mod -> - begin match vec_index_fwd (list_t t) v hash_mod with + begin match alloc_vec_Vec_index_usize v hash_mod with | Fail _ -> () | Return l -> begin - hash_map_get_in_list_fwd_lem key l; - match hash_map_get_in_list_fwd t key l with + hashMap_get_in_list_lem key l; + match hashMap_get_in_list t key l with | Fail _ -> () | Return x -> () end @@ -2695,66 +2695,66 @@ let hash_map_get_fwd_lem_aux #t self key = end /// .fsti -let hash_map_get_fwd_lem #t self key = hash_map_get_fwd_lem_aux #t self key +let hashMap_get_lem #t self key = hashMap_get_lem_aux #t self key (*** get_mut'fwd *) (**** get_mut_in_list'fwd *) -val hash_map_get_mut_in_list_loop_fwd_lem +val hashMap_get_mut_in_list_loop_lem (#t : Type0) (ls : list_t t) (key : usize) : Lemma (ensures ( - match hash_map_get_mut_in_list_loop_fwd t ls key, slot_t_find_s key ls with + match hashMap_get_mut_in_list_loop t ls key, slot_t_find_s key ls with | Fail _, None -> True | Return x, Some x' -> x == x' | _ -> False)) #push-options "--fuel 1" -let rec hash_map_get_mut_in_list_loop_fwd_lem #t ls key = +let rec hashMap_get_mut_in_list_loop_lem #t ls key = begin match ls with - | ListCons ckey cvalue ls0 -> + | List_Cons ckey cvalue ls0 -> let b = ckey = key in if b then () else begin - hash_map_get_mut_in_list_loop_fwd_lem ls0 key; - match hash_map_get_mut_in_list_loop_fwd t ls0 key with + hashMap_get_mut_in_list_loop_lem ls0 key; + match hashMap_get_mut_in_list_loop t ls0 key with | Fail _ -> () | Return x -> () end - | ListNil -> () + | List_Nil -> () end #pop-options (**** get_mut'fwd *) -val hash_map_get_mut_fwd_lem_aux - (#t : Type0) (self : hash_map_t_nes t) (key : usize) : +val hashMap_get_mut_lem_aux + (#t : Type0) (self : hashMap_t_nes t) (key : usize) : Lemma (ensures ( - match hash_map_get_mut_fwd t self key, hash_map_t_find_s self key with + match hashMap_get_mut t self key, hashMap_t_find_s self key with | Fail _, None -> True | Return x, Some x' -> x == x' | _ -> False)) -let hash_map_get_mut_fwd_lem_aux #t self key = - begin match hash_key_fwd key with +let hashMap_get_mut_lem_aux #t self key = + begin match hash_key key with | Fail _ -> () | Return i -> - let v = self.hash_map_slots in - let i0 = vec_len (list_t t) v in + let v = self.slots in + let i0 = alloc_vec_Vec_len (list_t t) v in begin match usize_rem i i0 with | Fail _ -> () | Return hash_mod -> - begin match vec_index_fwd (list_t t) v hash_mod with + begin match alloc_vec_Vec_index_usize v hash_mod with | Fail _ -> () | Return l -> begin - hash_map_get_mut_in_list_loop_fwd_lem l key; - match hash_map_get_mut_in_list_loop_fwd t l key with + hashMap_get_mut_in_list_loop_lem l key; + match hashMap_get_mut_in_list_loop t l key with | Fail _ -> () | Return x -> () end @@ -2762,78 +2762,78 @@ let hash_map_get_mut_fwd_lem_aux #t self key = end end -let hash_map_get_mut_fwd_lem #t self key = - hash_map_get_mut_fwd_lem_aux #t self key +let hashMap_get_mut_lem #t self key = + hashMap_get_mut_lem_aux #t self key (*** get_mut'back *) (**** get_mut_in_list'back *) -val hash_map_get_mut_in_list_loop_back_lem +val hashMap_get_mut_in_list_loop_back_lem (#t : Type0) (ls : list_t t) (key : usize) (ret : t) : Lemma (requires (Some? (slot_t_find_s key ls))) (ensures ( - match hash_map_get_mut_in_list_loop_back t ls key ret with + match hashMap_get_mut_in_list_loop_back t ls key ret with | Fail _ -> False | Return ls' -> list_t_v ls' == find_update (same_key key) (list_t_v ls) (key,ret) | _ -> False)) #push-options "--fuel 1" -let rec hash_map_get_mut_in_list_loop_back_lem #t ls key ret = +let rec hashMap_get_mut_in_list_loop_back_lem #t ls key ret = begin match ls with - | ListCons ckey cvalue ls0 -> + | List_Cons ckey cvalue ls0 -> let b = ckey = key in if b - then let ls1 = ListCons ckey ret ls0 in () + then let ls1 = List_Cons ckey ret ls0 in () else begin - hash_map_get_mut_in_list_loop_back_lem ls0 key ret; - match hash_map_get_mut_in_list_loop_back t ls0 key ret with + hashMap_get_mut_in_list_loop_back_lem ls0 key ret; + match hashMap_get_mut_in_list_loop_back t ls0 key ret with | Fail _ -> () - | Return l -> let ls1 = ListCons ckey cvalue l in () + | Return l -> let ls1 = List_Cons ckey cvalue l in () end - | ListNil -> () + | List_Nil -> () end #pop-options (**** get_mut'back *) /// Refinement lemma -val hash_map_get_mut_back_lem_refin - (#t : Type0) (self : hash_map_t t{length self.hash_map_slots > 0}) +val hashMap_get_mut_back_lem_refin + (#t : Type0) (self : hashMap_t t{length self.slots > 0}) (key : usize) (ret : t) : Lemma - (requires (Some? (hash_map_t_find_s self key))) + (requires (Some? (hashMap_t_find_s self key))) (ensures ( - match hash_map_get_mut_back t self key ret with + match hashMap_get_mut_back t self key ret with | Fail _ -> False | Return hm' -> - hash_map_t_v hm' == hash_map_insert_no_fail_s (hash_map_t_v self) key ret)) + hashMap_t_v hm' == hashMap_insert_no_fail_s (hashMap_t_v self) key ret)) -let hash_map_get_mut_back_lem_refin #t self key ret = - begin match hash_key_fwd key with +let hashMap_get_mut_back_lem_refin #t self key ret = + begin match hash_key key with | Fail _ -> () | Return i -> - let i0 = self.hash_map_num_entries in - let p = self.hash_map_max_load_factor in - let i1 = self.hash_map_max_load in - let v = self.hash_map_slots in - let i2 = vec_len (list_t t) v in + let i0 = self.num_entries in + let p = self.max_load_factor in + let i1 = self.max_load in + let v = self.slots in + let i2 = alloc_vec_Vec_len (list_t t) v in begin match usize_rem i i2 with | Fail _ -> () | Return hash_mod -> - begin match vec_index_mut_fwd (list_t t) v hash_mod with + begin match alloc_vec_Vec_index_usize v hash_mod with | Fail _ -> () | Return l -> begin - hash_map_get_mut_in_list_loop_back_lem l key ret; - match hash_map_get_mut_in_list_loop_back t l key ret with + hashMap_get_mut_in_list_loop_back_lem l key ret; + match hashMap_get_mut_in_list_loop_back t l key ret with | Fail _ -> () | Return l0 -> - begin match vec_index_mut_back (list_t t) v hash_mod l0 with + begin match alloc_vec_Vec_update_usize v hash_mod l0 with | Fail _ -> () - | Return v0 -> let self0 = Mkhash_map_t i0 p i1 v0 in () + | Return v0 -> let self0 = MkhashMap_t i0 p i1 v0 in () end end end @@ -2841,102 +2841,102 @@ let hash_map_get_mut_back_lem_refin #t self key ret = end /// Final lemma -val hash_map_get_mut_back_lem_aux - (#t : Type0) (hm : hash_map_t t) +val hashMap_get_mut_back_lem_aux + (#t : Type0) (hm : hashMap_t t) (key : usize) (ret : t) : Lemma (requires ( - hash_map_t_inv hm /\ - Some? (hash_map_t_find_s hm key))) + hashMap_t_inv hm /\ + Some? (hashMap_t_find_s hm key))) (ensures ( - match hash_map_get_mut_back t hm key ret with + match hashMap_get_mut_back t hm key ret with | Fail _ -> False | Return hm' -> // Functional spec - hash_map_t_v hm' == hash_map_insert_no_fail_s (hash_map_t_v hm) key ret /\ + hashMap_t_v hm' == hashMap_insert_no_fail_s (hashMap_t_v hm) key ret /\ // The invariant is preserved - hash_map_t_inv hm' /\ + hashMap_t_inv hm' /\ // The length is preserved - hash_map_t_len_s hm' = hash_map_t_len_s hm /\ + hashMap_t_len_s hm' = hashMap_t_len_s hm /\ // [key] maps to [value] - hash_map_t_find_s hm' key == Some ret /\ + hashMap_t_find_s hm' key == Some ret /\ // The other bindings are preserved - (forall k'. k' <> key ==> hash_map_t_find_s hm' k' == hash_map_t_find_s hm k'))) + (forall k'. k' <> key ==> hashMap_t_find_s hm' k' == hashMap_t_find_s hm k'))) -let hash_map_get_mut_back_lem_aux #t hm key ret = - let hm_v = hash_map_t_v hm in - hash_map_get_mut_back_lem_refin hm key ret; - match hash_map_get_mut_back t hm key ret with +let hashMap_get_mut_back_lem_aux #t hm key ret = + let hm_v = hashMap_t_v hm in + hashMap_get_mut_back_lem_refin hm key ret; + match hashMap_get_mut_back t hm key ret with | Fail _ -> assert(False) | Return hm' -> - hash_map_insert_no_fail_s_lem hm_v key ret + hashMap_insert_no_fail_s_lem hm_v key ret /// .fsti -let hash_map_get_mut_back_lem #t hm key ret = hash_map_get_mut_back_lem_aux hm key ret +let hashMap_get_mut_back_lem #t hm key ret = hashMap_get_mut_back_lem_aux hm key ret (*** remove'fwd *) -val hash_map_remove_from_list_fwd_lem +val hashMap_remove_from_list_lem (#t : Type0) (key : usize) (ls : list_t t) : Lemma (ensures ( - match hash_map_remove_from_list_fwd t key ls with + match hashMap_remove_from_list t key ls with | Fail _ -> False | Return opt_x -> opt_x == slot_t_find_s key ls /\ (Some? opt_x ==> length (slot_t_v ls) > 0))) #push-options "--fuel 1" -let rec hash_map_remove_from_list_fwd_lem #t key ls = +let rec hashMap_remove_from_list_lem #t key ls = begin match ls with - | ListCons ckey x tl -> + | List_Cons ckey x tl -> let b = ckey = key in if b then - let mv_ls = mem_replace_fwd (list_t t) (ListCons ckey x tl) ListNil in + let mv_ls = core_mem_replace (list_t t) (List_Cons ckey x tl) List_Nil in begin match mv_ls with - | ListCons i cvalue tl0 -> () - | ListNil -> () + | List_Cons i cvalue tl0 -> () + | List_Nil -> () end else begin - hash_map_remove_from_list_fwd_lem key tl; - match hash_map_remove_from_list_fwd t key tl with + hashMap_remove_from_list_lem key tl; + match hashMap_remove_from_list t key tl with | Fail _ -> () | Return opt -> () end - | ListNil -> () + | List_Nil -> () end #pop-options -val hash_map_remove_fwd_lem_aux - (#t : Type0) (self : hash_map_t t) (key : usize) : +val hashMap_remove_lem_aux + (#t : Type0) (self : hashMap_t t) (key : usize) : Lemma (requires ( // We need the invariant to prove that upon decrementing the entries counter, // the counter doesn't become negative - hash_map_t_inv self)) + hashMap_t_inv self)) (ensures ( - match hash_map_remove_fwd t self key with + match hashMap_remove t self key with | Fail _ -> False - | Return opt_x -> opt_x == hash_map_t_find_s self key)) + | Return opt_x -> opt_x == hashMap_t_find_s self key)) -let hash_map_remove_fwd_lem_aux #t self key = - begin match hash_key_fwd key with +let hashMap_remove_lem_aux #t self key = + begin match hash_key key with | Fail _ -> () | Return i -> - let i0 = self.hash_map_num_entries in - let v = self.hash_map_slots in - let i1 = vec_len (list_t t) v in + let i0 = self.num_entries in + let v = self.slots in + let i1 = alloc_vec_Vec_len (list_t t) v in begin match usize_rem i i1 with | Fail _ -> () | Return hash_mod -> - begin match vec_index_mut_fwd (list_t t) v hash_mod with + begin match alloc_vec_Vec_index_usize v hash_mod with | Fail _ -> () | Return l -> begin - hash_map_remove_from_list_fwd_lem key l; - match hash_map_remove_from_list_fwd t key l with + hashMap_remove_from_list_lem key l; + match hashMap_remove_from_list t key l with | Fail _ -> () | Return x -> begin match x with @@ -2945,7 +2945,7 @@ let hash_map_remove_fwd_lem_aux #t self key = begin assert(l == index v hash_mod); assert(length (list_t_v #t l) > 0); - length_flatten_index (hash_map_t_v self) hash_mod; + length_flatten_index (hashMap_t_v self) hash_mod; match usize_sub i0 1 with | Fail _ -> () | Return _ -> () @@ -2957,27 +2957,27 @@ let hash_map_remove_fwd_lem_aux #t self key = end /// .fsti -let hash_map_remove_fwd_lem #t self key = hash_map_remove_fwd_lem_aux #t self key +let hashMap_remove_lem #t self key = hashMap_remove_lem_aux #t self key (*** remove'back *) (**** Refinement proofs *) /// High-level model for [remove_from_list'back] -let hash_map_remove_from_list_s +let hashMap_remove_from_list_s (#t : Type0) (key : usize) (ls : slot_s t) : slot_s t = filter_one (not_same_key key) ls /// Refinement lemma -val hash_map_remove_from_list_back_lem_refin +val hashMap_remove_from_list_back_lem_refin (#t : Type0) (key : usize) (ls : list_t t) : Lemma (ensures ( - match hash_map_remove_from_list_back t key ls with + match hashMap_remove_from_list_back t key ls with | Fail _ -> False | Return ls' -> - list_t_v ls' == hash_map_remove_from_list_s key (list_t_v ls) /\ + list_t_v ls' == hashMap_remove_from_list_s key (list_t_v ls) /\ // The length is decremented, iff the key was in the slot (let len = length (list_t_v ls) in let len' = length (list_t_v ls') in @@ -2986,89 +2986,89 @@ val hash_map_remove_from_list_back_lem_refin | Some _ -> len = len' + 1))) #push-options "--fuel 1" -let rec hash_map_remove_from_list_back_lem_refin #t key ls = +let rec hashMap_remove_from_list_back_lem_refin #t key ls = begin match ls with - | ListCons ckey x tl -> + | List_Cons ckey x tl -> let b = ckey = key in if b then - let mv_ls = mem_replace_fwd (list_t t) (ListCons ckey x tl) ListNil in + let mv_ls = core_mem_replace (list_t t) (List_Cons ckey x tl) List_Nil in begin match mv_ls with - | ListCons i cvalue tl0 -> () - | ListNil -> () + | List_Cons i cvalue tl0 -> () + | List_Nil -> () end else begin - hash_map_remove_from_list_back_lem_refin key tl; - match hash_map_remove_from_list_back t key tl with + hashMap_remove_from_list_back_lem_refin key tl; + match hashMap_remove_from_list_back t key tl with | Fail _ -> () - | Return l -> let ls0 = ListCons ckey x l in () + | Return l -> let ls0 = List_Cons ckey x l in () end - | ListNil -> () + | List_Nil -> () end #pop-options /// High-level model for [remove_from_list'back] -let hash_map_remove_s - (#t : Type0) (self : hash_map_s_nes t) (key : usize) : - hash_map_s t = +let hashMap_remove_s + (#t : Type0) (self : hashMap_s_nes t) (key : usize) : + hashMap_s t = let len = length self in let hash = hash_mod_key key len in let slot = index self hash in - let slot' = hash_map_remove_from_list_s key slot in + let slot' = hashMap_remove_from_list_s key slot in list_update self hash slot' /// Refinement lemma -val hash_map_remove_back_lem_refin - (#t : Type0) (self : hash_map_t_nes t) (key : usize) : +val hashMap_remove_back_lem_refin + (#t : Type0) (self : hashMap_t_nes t) (key : usize) : Lemma (requires ( // We need the invariant to prove that upon decrementing the entries counter, // the counter doesn't become negative - hash_map_t_inv self)) + hashMap_t_inv self)) (ensures ( - match hash_map_remove_back t self key with + match hashMap_remove_back t self key with | Fail _ -> False | Return hm' -> - hash_map_t_same_params hm' self /\ - hash_map_t_v hm' == hash_map_remove_s (hash_map_t_v self) key /\ + hashMap_t_same_params hm' self /\ + hashMap_t_v hm' == hashMap_remove_s (hashMap_t_v self) key /\ // The length is decremented iff the key was in the map - (let len = hash_map_t_len_s self in - let len' = hash_map_t_len_s hm' in - match hash_map_t_find_s self key with + (let len = hashMap_t_len_s self in + let len' = hashMap_t_len_s hm' in + match hashMap_t_find_s self key with | None -> len = len' | Some _ -> len = len' + 1))) -let hash_map_remove_back_lem_refin #t self key = - begin match hash_key_fwd key with +let hashMap_remove_back_lem_refin #t self key = + begin match hash_key key with | Fail _ -> () | Return i -> - let i0 = self.hash_map_num_entries in - let p = self.hash_map_max_load_factor in - let i1 = self.hash_map_max_load in - let v = self.hash_map_slots in - let i2 = vec_len (list_t t) v in + let i0 = self.num_entries in + let p = self.max_load_factor in + let i1 = self.max_load in + let v = self.slots in + let i2 = alloc_vec_Vec_len (list_t t) v in begin match usize_rem i i2 with | Fail _ -> () | Return hash_mod -> - begin match vec_index_mut_fwd (list_t t) v hash_mod with + begin match alloc_vec_Vec_index_usize v hash_mod with | Fail _ -> () | Return l -> begin - hash_map_remove_from_list_fwd_lem key l; - match hash_map_remove_from_list_fwd t key l with + hashMap_remove_from_list_lem key l; + match hashMap_remove_from_list t key l with | Fail _ -> () | Return x -> begin match x with | None -> begin - hash_map_remove_from_list_back_lem_refin key l; - match hash_map_remove_from_list_back t key l with + hashMap_remove_from_list_back_lem_refin key l; + match hashMap_remove_from_list_back t key l with | Fail _ -> () | Return l0 -> begin length_flatten_update (slots_t_v v) hash_mod (list_t_v l0); - match vec_index_mut_back (list_t t) v hash_mod l0 with + match alloc_vec_Vec_update_usize v hash_mod l0 with | Fail _ -> () | Return v0 -> () end @@ -3077,18 +3077,18 @@ let hash_map_remove_back_lem_refin #t self key = begin assert(l == index v hash_mod); assert(length (list_t_v #t l) > 0); - length_flatten_index (hash_map_t_v self) hash_mod; + length_flatten_index (hashMap_t_v self) hash_mod; match usize_sub i0 1 with | Fail _ -> () | Return i3 -> begin - hash_map_remove_from_list_back_lem_refin key l; - match hash_map_remove_from_list_back t key l with + hashMap_remove_from_list_back_lem_refin key l; + match hashMap_remove_from_list_back t key l with | Fail _ -> () | Return l0 -> begin length_flatten_update (slots_t_v v) hash_mod (list_t_v l0); - match vec_index_mut_back (list_t t) v hash_mod l0 with + match alloc_vec_Vec_update_usize v hash_mod l0 with | Fail _ -> () | Return v0 -> () end @@ -3102,12 +3102,12 @@ let hash_map_remove_back_lem_refin #t self key = (**** Invariants, high-level properties *) -val hash_map_remove_from_list_s_lem +val hashMap_remove_from_list_s_lem (#t : Type0) (k : usize) (slot : slot_s t) (len : usize{len > 0}) (i : usize) : Lemma (requires (slot_s_inv len i slot)) (ensures ( - let slot' = hash_map_remove_from_list_s k slot in + let slot' = hashMap_remove_from_list_s k slot in slot_s_inv len i slot' /\ slot_s_find k slot' == None /\ (forall (k':key{k' <> k}). slot_s_find k' slot' == slot_s_find k' slot) /\ @@ -3117,14 +3117,14 @@ val hash_map_remove_from_list_s_lem )) #push-options "--fuel 1" -let rec hash_map_remove_from_list_s_lem #t key slot len i = +let rec hashMap_remove_from_list_s_lem #t key slot len i = match slot with | [] -> () | (k',v) :: slot' -> if k' <> key then begin - hash_map_remove_from_list_s_lem key slot' len i; - let slot'' = hash_map_remove_from_list_s key slot' in + hashMap_remove_from_list_s_lem key slot' len i; + let slot'' = hashMap_remove_from_list_s key slot' in assert(for_all (same_hash_mod_key len i) ((k',v)::slot'')); assert(for_all (binding_neq (k',v)) slot'); // Triggers instanciation assert(for_all (binding_neq (k',v)) slot'') @@ -3136,51 +3136,51 @@ let rec hash_map_remove_from_list_s_lem #t key slot len i = end #pop-options -val hash_map_remove_s_lem - (#t : Type0) (self : hash_map_s_nes t) (key : usize) : +val hashMap_remove_s_lem + (#t : Type0) (self : hashMap_s_nes t) (key : usize) : Lemma - (requires (hash_map_s_inv self)) + (requires (hashMap_s_inv self)) (ensures ( - let hm' = hash_map_remove_s self key in + let hm' = hashMap_remove_s self key in // The invariant is preserved - hash_map_s_inv hm' /\ + hashMap_s_inv hm' /\ // We updated the binding - hash_map_s_updated_binding self key None hm')) + hashMap_s_updated_binding self key None hm')) -let hash_map_remove_s_lem #t self key = +let hashMap_remove_s_lem #t self key = let len = length self in let hash = hash_mod_key key len in let slot = index self hash in - hash_map_remove_from_list_s_lem key slot len hash; - let slot' = hash_map_remove_from_list_s key slot in + hashMap_remove_from_list_s_lem key slot len hash; + let slot' = hashMap_remove_from_list_s key slot in let hm' = list_update self hash slot' in - assert(hash_map_s_inv self) + assert(hashMap_s_inv self) /// Final lemma about [remove'back] -val hash_map_remove_back_lem_aux - (#t : Type0) (self : hash_map_t t) (key : usize) : +val hashMap_remove_back_lem_aux + (#t : Type0) (self : hashMap_t t) (key : usize) : Lemma - (requires (hash_map_t_inv self)) + (requires (hashMap_t_inv self)) (ensures ( - match hash_map_remove_back t self key with + match hashMap_remove_back t self key with | Fail _ -> False | Return hm' -> - hash_map_t_inv self /\ - hash_map_t_same_params hm' self /\ + hashMap_t_inv self /\ + hashMap_t_same_params hm' self /\ // We updated the binding - hash_map_s_updated_binding (hash_map_t_v self) key None (hash_map_t_v hm') /\ - hash_map_t_v hm' == hash_map_remove_s (hash_map_t_v self) key /\ + hashMap_s_updated_binding (hashMap_t_v self) key None (hashMap_t_v hm') /\ + hashMap_t_v hm' == hashMap_remove_s (hashMap_t_v self) key /\ // The length is decremented iff the key was in the map - (let len = hash_map_t_len_s self in - let len' = hash_map_t_len_s hm' in - match hash_map_t_find_s self key with + (let len = hashMap_t_len_s self in + let len' = hashMap_t_len_s hm' in + match hashMap_t_find_s self key with | None -> len = len' | Some _ -> len = len' + 1))) -let hash_map_remove_back_lem_aux #t self key = - hash_map_remove_back_lem_refin self key; - hash_map_remove_s_lem (hash_map_t_v self) key +let hashMap_remove_back_lem_aux #t self key = + hashMap_remove_back_lem_refin self key; + hashMap_remove_s_lem (hashMap_t_v self) key /// .fsti -let hash_map_remove_back_lem #t self key = - hash_map_remove_back_lem_aux #t self key +let hashMap_remove_back_lem #t self key = + hashMap_remove_back_lem_aux #t self key diff --git a/tests/fstar/hashmap/Hashmap.Properties.fsti b/tests/fstar/hashmap/Hashmap.Properties.fsti index 0a4f0134..26c0ec06 100644 --- a/tests/fstar/hashmap/Hashmap.Properties.fsti +++ b/tests/fstar/hashmap/Hashmap.Properties.fsti @@ -18,11 +18,11 @@ type key : eqtype = usize type hash : eqtype = usize -val hash_map_t_inv (#t : Type0) (hm : hash_map_t t) : Type0 +val hashMap_t_inv (#t : Type0) (hm : hashMap_t t) : Type0 -val len_s (#t : Type0) (hm : hash_map_t t) : nat +val len_s (#t : Type0) (hm : hashMap_t t) : nat -val find_s (#t : Type0) (hm : hash_map_t t) (k : key) : option t +val find_s (#t : Type0) (hm : hashMap_t t) (k : key) : option t (*** Overloading *) @@ -32,16 +32,16 @@ val find_s (#t : Type0) (hm : hash_map_t t) (k : key) : option t /// limiting the hash collisions. /// This is expressed by the following property, which is maintained in the hash /// map invariant. -val hash_map_not_overloaded_lem (#t : Type0) (hm : hash_map_t t) : +val hashMap_not_overloaded_lem (#t : Type0) (hm : hashMap_t t) : Lemma - (requires (hash_map_t_inv hm)) + (requires (hashMap_t_inv hm)) (ensures ( // The capacity is the number of slots - let capacity = length hm.hash_map_slots in + let capacity = length hm.slots in // The max load factor defines a threshold on the number of entries: // if there are more entries than a given fraction of the number of slots, // we resize the slots vector to limit the hash collisions - let (dividend, divisor) = hm.hash_map_max_load_factor in + let (dividend, divisor) = hm.max_load_factor in // technicality: this postcondition won't typecheck if we don't reveal // that divisor > 0 (because of the division) divisor > 0 /\ @@ -63,14 +63,14 @@ val hash_map_not_overloaded_lem (#t : Type0) (hm : hash_map_t t) : (**** [new'fwd] *) /// [new] doesn't fail and returns an empty hash map -val hash_map_new_fwd_lem (t : Type0) : +val hashMap_new_lem (t : Type0) : Lemma (ensures ( - match hash_map_new_fwd t with + match hashMap_new t with | Fail _ -> False | Return hm -> // The hash map invariant is satisfied - hash_map_t_inv hm /\ + hashMap_t_inv hm /\ // The hash map has a length of 0 len_s hm = 0 /\ // It contains no bindings @@ -79,16 +79,16 @@ val hash_map_new_fwd_lem (t : Type0) : (**** [clear] *) /// [clear] doesn't fail and turns the hash map into an empty map -val hash_map_clear_fwd_back_lem - (#t : Type0) (self : hash_map_t t) : +val hashMap_clear_lem + (#t : Type0) (self : hashMap_t t) : Lemma - (requires (hash_map_t_inv self)) + (requires (hashMap_t_inv self)) (ensures ( - match hash_map_clear_fwd_back t self with + match hashMap_clear t self with | Fail _ -> False | Return hm -> // The hash map invariant is satisfied - hash_map_t_inv hm /\ + hashMap_t_inv hm /\ // The hash map has a length of 0 len_s hm = 0 /\ // It contains no bindings @@ -97,11 +97,11 @@ val hash_map_clear_fwd_back_lem (**** [len] *) /// [len] can't fail and returns the length (the number of elements) of the hash map -val hash_map_len_fwd_lem (#t : Type0) (self : hash_map_t t) : +val hashMap_len_lem (#t : Type0) (self : hashMap_t t) : Lemma - (requires (hash_map_t_inv self)) + (requires (hashMap_t_inv self)) (ensures ( - match hash_map_len_fwd t self with + match hashMap_len t self with | Fail _ -> False | Return l -> l = len_s self)) @@ -114,12 +114,12 @@ val hash_map_len_fwd_lem (#t : Type0) (self : hash_map_t t) : /// entirely encompassed by the effect of the backward function alone). /// /// [insert'fwd_back] simply inserts a binding. -val hash_map_insert_fwd_back_lem - (#t : Type0) (self : hash_map_t t) (key : usize) (value : t) : +val hashMap_insert_lem + (#t : Type0) (self : hashMap_t t) (key : usize) (value : t) : Lemma - (requires (hash_map_t_inv self)) + (requires (hashMap_t_inv self)) (ensures ( - match hash_map_insert_fwd_back t self key value with + match hashMap_insert t self key value with | Fail _ -> // We can fail only if: // - the key is not in the map and we thus need to add it @@ -128,7 +128,7 @@ val hash_map_insert_fwd_back_lem len_s self = usize_max | Return hm' -> // The invariant is preserved - hash_map_t_inv hm' /\ + hashMap_t_inv hm' /\ // [key] maps to [value] find_s hm' key == Some value /\ // The other bindings are preserved @@ -145,24 +145,24 @@ val hash_map_insert_fwd_back_lem /// [contains_key'fwd] can't fail and returns `true` if and only if there is /// a binding for key [key] -val hash_map_contains_key_fwd_lem - (#t : Type0) (self : hash_map_t t) (key : usize) : +val hashMap_contains_key_lem + (#t : Type0) (self : hashMap_t t) (key : usize) : Lemma - (requires (hash_map_t_inv self)) + (requires (hashMap_t_inv self)) (ensures ( - match hash_map_contains_key_fwd t self key with + match hashMap_contains_key t self key with | Fail _ -> False | Return b -> b = Some? (find_s self key))) (**** [get'fwd] *) /// [get] returns (a shared borrow to) the binding for key [key] -val hash_map_get_fwd_lem - (#t : Type0) (self : hash_map_t t) (key : usize) : +val hashMap_get_lem + (#t : Type0) (self : hashMap_t t) (key : usize) : Lemma - (requires (hash_map_t_inv self)) + (requires (hashMap_t_inv self)) (ensures ( - match hash_map_get_fwd t self key, find_s self key with + match hashMap_get t self key, find_s self key with | Fail _, None -> True | Return x, Some x' -> x == x' | _ -> False)) @@ -175,12 +175,12 @@ val hash_map_get_fwd_lem /// in Rust, which gives the possibility of modifying this element in place. Then, /// upon ending the borrow, the effect of the modification is modelled in the /// translation through a call to the backward function. -val hash_map_get_mut_fwd_lem - (#t : Type0) (self : hash_map_t t) (key : usize) : +val hashMap_get_mut_lem + (#t : Type0) (self : hashMap_t t) (key : usize) : Lemma - (requires (hash_map_t_inv self)) + (requires (hashMap_t_inv self)) (ensures ( - match hash_map_get_mut_fwd t self key, find_s self key with + match hashMap_get_mut t self key, find_s self key with | Fail _, None -> True | Return x, Some x' -> x == x' | _ -> False)) @@ -192,11 +192,11 @@ val hash_map_get_mut_fwd_lem /// A call to [get_mut'back] must follow a call to [get_mut'fwd], which gives /// us that there must be a binding for key [key] in the map (otherwise we /// can't prove the absence of failure). -val hash_map_get_mut_back_lem - (#t : Type0) (hm : hash_map_t t) (key : usize) (ret : t) : +val hashMap_get_mut_back_lem + (#t : Type0) (hm : hashMap_t t) (key : usize) (ret : t) : Lemma (requires ( - hash_map_t_inv hm /\ + hashMap_t_inv hm /\ // A call to the backward function must follow a call to the forward // function, whose success gives us that there is a binding for the key. // In the case of *forward* functions, "success" has to be understood as @@ -207,14 +207,14 @@ val hash_map_get_mut_back_lem // "failure" is to be understood as the semantics getting stuck. // This is of course true unless we filtered the call to the forward function // because its effect is encompassed by the backward function, as with - // [hash_map_clear_fwd_back]). + // [hashMap_clear]). Some? (find_s hm key))) (ensures ( - match hash_map_get_mut_back t hm key ret with + match hashMap_get_mut_back t hm key ret with | Fail _ -> False // Can't fail | Return hm' -> // The invariant is preserved - hash_map_t_inv hm' /\ + hashMap_t_inv hm' /\ // The length is preserved len_s hm' = len_s hm /\ // [key] maps to the update value, [ret] @@ -228,12 +228,12 @@ val hash_map_get_mut_back_lem /// (the rust function *moves* it out of the map). Note that the effect of the update /// on the map is modelles through the call to [remove'back] ([remove] takes a /// mutable borrow to the hash map as parameter). -val hash_map_remove_fwd_lem - (#t : Type0) (self : hash_map_t t) (key : usize) : +val hashMap_remove_lem + (#t : Type0) (self : hashMap_t t) (key : usize) : Lemma - (requires (hash_map_t_inv self)) + (requires (hashMap_t_inv self)) (ensures ( - match hash_map_remove_fwd t self key with + match hashMap_remove t self key with | Fail _ -> False | Return opt_x -> opt_x == find_s self key)) @@ -243,16 +243,16 @@ val hash_map_remove_fwd_lem /// The hash map given as parameter to [remove] is given through a mutable borrow: /// hence the backward function which gives back the updated map, without the /// binding. -val hash_map_remove_back_lem - (#t : Type0) (self : hash_map_t t) (key : usize) : +val hashMap_remove_back_lem + (#t : Type0) (self : hashMap_t t) (key : usize) : Lemma - (requires (hash_map_t_inv self)) + (requires (hashMap_t_inv self)) (ensures ( - match hash_map_remove_back t self key with + match hashMap_remove_back t self key with | Fail _ -> False | Return hm' -> // The invariant is preserved - hash_map_t_inv self /\ + hashMap_t_inv self /\ // The binding for [key] is not there anymore find_s hm' key == None /\ // The other bindings are preserved diff --git a/tests/fstar/hashmap/Hashmap.Types.fst b/tests/fstar/hashmap/Hashmap.Types.fst index 91ee26c6..ef96b1e9 100644 --- a/tests/fstar/hashmap/Hashmap.Types.fst +++ b/tests/fstar/hashmap/Hashmap.Types.fst @@ -5,17 +5,19 @@ open Primitives #set-options "--z3rlimit 50 --fuel 1 --ifuel 1" -(** [hashmap::List] *) +(** [hashmap::List] + Source: 'src/hashmap.rs', lines 19:0-19:16 *) type list_t (t : Type0) = -| ListCons : usize -> t -> list_t t -> list_t t -| ListNil : list_t t +| List_Cons : usize -> t -> list_t t -> list_t t +| List_Nil : list_t t -(** [hashmap::HashMap] *) -type hash_map_t (t : Type0) = +(** [hashmap::HashMap] + Source: 'src/hashmap.rs', lines 35:0-35:21 *) +type hashMap_t (t : Type0) = { - hash_map_num_entries : usize; - hash_map_max_load_factor : (usize & usize); - hash_map_max_load : usize; - hash_map_slots : vec (list_t t); + num_entries : usize; + max_load_factor : (usize & usize); + max_load : usize; + slots : alloc_vec_Vec (list_t t); } diff --git a/tests/fstar/hashmap/Primitives.fst b/tests/fstar/hashmap/Primitives.fst index 9db82069..dd340c00 100644 --- a/tests/fstar/hashmap/Primitives.fst +++ b/tests/fstar/hashmap/Primitives.fst @@ -55,12 +55,20 @@ type string = string let is_zero (n: nat) : bool = n = 0 let decrease (n: nat{n > 0}) : nat = n - 1 -let mem_replace_fwd (a : Type0) (x : a) (y : a) : a = x -let mem_replace_back (a : Type0) (x : a) (y : a) : a = y +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 @@ -100,6 +108,10 @@ type scalar_ty = | 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 @@ -162,6 +174,100 @@ let scalar_sub (#ty : scalar_ty) (x : scalar ty) (y : scalar ty) : result (scala 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) = @@ -169,17 +275,44 @@ let scalar_cast (src_ty : scalar_ty) (tgt_ty : scalar_ty) (x : scalar src_ty) : /// 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 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 +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 @@ -231,7 +364,7 @@ let u32_add = scalar_add #U32 let u64_add = scalar_add #U64 let u128_add = scalar_add #U128 -/// Substraction +/// Subtraction let isize_sub = scalar_sub #Isize let i8_sub = scalar_sub #I8 let i16_sub = scalar_sub #I16 @@ -259,12 +392,128 @@ let u32_mul = scalar_mul #U32 let u64_mul = scalar_mul #U64 let u128_mul = scalar_mul #U128 -(*** Range *) -type range (a : Type0) = { +/// 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} @@ -278,15 +527,11 @@ let mk_array (a : Type0) (n : usize) normalize_term_spec (FStar.List.Tot.length l); l -let array_index_shared (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_index_mut_fwd (a : Type0) (n : usize) (x : array a n) (i : usize) : result a = +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_index_mut_back (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 @@ -295,55 +540,54 @@ 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_shared (a : Type0) (x : slice a) (i : usize) : result a = - if i < length x then Return (index x i) - else Fail Failure - -let slice_index_mut_fwd (a : Type0) (x : slice a) (i : usize) : result a = +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_index_mut_back (a : Type0) (x : slice a) (i : usize) (nx : a) : result (slice a) = +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_shared (a : Type0) (n : usize) (x : array a n) : result (slice a) = Return x -let array_to_slice_mut_fwd (a : Type0) (n : usize) (x : array a n) : result (slice a) = Return x -let array_to_slice_mut_back (a : Type0) (n : usize) (x : array a n) (s : slice a) : result (array a n) = +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_shared (a : Type0) (n : usize) (x : array a n) (r : range usize) : result (slice a) = +let array_subslice (a : Type0) (n : usize) (x : array a n) (r : core_ops_range_Range usize) : result (slice a) = admit() -let array_subslice_mut_fwd (a : Type0) (n : usize) (x : array a n) (r : range usize) : result (slice a) = +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_subslice_mut_back (a : Type0) (n : usize) (x : array a n) (r : range usize) (ns : slice a) : result (array a n) = +let array_repeat (a : Type0) (n : usize) (x : a) : array a n = admit() -let slice_subslice_shared (a : Type0) (x : slice a) (r : range usize) : result (slice a) = +let slice_subslice (a : Type0) (x : slice a) (r : core_ops_range_Range usize) : result (slice a) = admit() -let slice_subslice_mut_fwd (a : Type0) (x : slice a) (r : range usize) : result (slice a) = - admit() - -let slice_subslice_mut_back (a : Type0) (x : slice a) (r : range usize) (ns : slice a) : result (slice a) = +let slice_update_subslice (a : Type0) (x : slice a) (r : core_ops_range_Range usize) (ns : slice a) : result (slice a) = admit() (*** Vector *) -type vec (a : Type0) = v:list a{length v <= usize_max} +type alloc_vec_Vec (a : Type0) = v:list a{length v <= usize_max} -let vec_new (a : Type0) : vec a = assert_norm(length #a [] == 0); [] -let vec_len (a : Type0) (v : vec a) : usize = length v +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 vec_push_fwd (a : Type0) (v : vec a) (x : a) : unit = () -let vec_push_back (a : Type0) (v : vec a) (x : a) : - Pure (result (vec a)) +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 @@ -358,18 +602,279 @@ let vec_push_back (a : Type0) (v : vec a) (x : a) : else Fail Failure // The **forward** function shouldn't be used -let vec_insert_fwd (a : Type0) (v : vec a) (i : usize) (x : a) : result unit = +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 vec_insert_back (a : Type0) (v : vec a) (i : usize) (x : a) : result (vec a) = +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 -// The **backward** function shouldn't be used -let vec_index_fwd (a : Type0) (v : vec a) (i : usize) : result a = - if i < length v then Return (index v i) else Fail Failure -let vec_index_back (a : Type0) (v : vec a) (i : usize) (x : a) : result unit = - if i < length v then Return () 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; +} -let vec_index_mut_fwd (a : Type0) (v : vec a) (i : usize) : result a = - if i < length v then Return (index v i) else Fail Failure -let vec_index_mut_back (a : Type0) (v : vec a) (i : usize) (nx : a) : result (vec a) = - if i < length v then Return (list_update v i nx) else Fail Failure +// [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/hashmap_on_disk/HashmapMain.Clauses.Template.fst b/tests/fstar/hashmap_on_disk/HashmapMain.Clauses.Template.fst index 615c670d..7b274f59 100644 --- a/tests/fstar/hashmap_on_disk/HashmapMain.Clauses.Template.fst +++ b/tests/fstar/hashmap_on_disk/HashmapMain.Clauses.Template.fst @@ -6,58 +6,67 @@ open HashmapMain.Types #set-options "--z3rlimit 50 --fuel 1 --ifuel 1" -(** [hashmap_main::hashmap::HashMap::{0}::allocate_slots]: decreases clause *) +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::allocate_slots]: decreases clause + Source: 'src/hashmap.rs', lines 50:4-56:5 *) unfold -let hashmap_hash_map_allocate_slots_loop_decreases (t : Type0) - (slots : vec (hashmap_list_t t)) (n : usize) : nat = +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::{0}::clear]: decreases clause *) +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::clear]: decreases clause + Source: 'src/hashmap.rs', lines 80:4-88:5 *) unfold -let hashmap_hash_map_clear_loop_decreases (t : Type0) - (slots : vec (hashmap_list_t t)) (i : usize) : nat = +let hashmap_HashMap_clear_loop_decreases (t : Type0) + (slots : alloc_vec_Vec (hashmap_List_t t)) (i : usize) : nat = admit () -(** [hashmap_main::hashmap::HashMap::{0}::insert_in_list]: decreases clause *) +(** [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_hash_map_insert_in_list_loop_decreases (t : Type0) (key : usize) - (value : t) (ls : hashmap_list_t t) : nat = +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::{0}::move_elements_from_list]: decreases clause *) +(** [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_hash_map_move_elements_from_list_loop_decreases (t : Type0) - (ntable : hashmap_hash_map_t t) (ls : hashmap_list_t t) : nat = +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::{0}::move_elements]: decreases clause *) +(** [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::move_elements]: decreases clause + Source: 'src/hashmap.rs', lines 171:4-180:5 *) unfold -let hashmap_hash_map_move_elements_loop_decreases (t : Type0) - (ntable : hashmap_hash_map_t t) (slots : vec (hashmap_list_t t)) (i : usize) - : nat = +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::{0}::contains_key_in_list]: decreases clause *) +(** [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_hash_map_contains_key_in_list_loop_decreases (t : Type0) - (key : usize) (ls : hashmap_list_t t) : nat = +let hashmap_HashMap_contains_key_in_list_loop_decreases (t : Type0) + (key : usize) (ls : hashmap_List_t t) : nat = admit () -(** [hashmap_main::hashmap::HashMap::{0}::get_in_list]: decreases clause *) +(** [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_hash_map_get_in_list_loop_decreases (t : Type0) (key : usize) - (ls : hashmap_list_t t) : nat = +let hashmap_HashMap_get_in_list_loop_decreases (t : Type0) (key : usize) + (ls : hashmap_List_t t) : nat = admit () -(** [hashmap_main::hashmap::HashMap::{0}::get_mut_in_list]: decreases clause *) +(** [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_hash_map_get_mut_in_list_loop_decreases (t : Type0) - (ls : hashmap_list_t t) (key : usize) : nat = +let hashmap_HashMap_get_mut_in_list_loop_decreases (t : Type0) + (ls : hashmap_List_t t) (key : usize) : nat = admit () -(** [hashmap_main::hashmap::HashMap::{0}::remove_from_list]: decreases clause *) +(** [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_hash_map_remove_from_list_loop_decreases (t : Type0) (key : usize) - (ls : hashmap_list_t t) : nat = +let hashmap_HashMap_remove_from_list_loop_decreases (t : Type0) (key : usize) + (ls : hashmap_List_t t) : nat = admit () diff --git a/tests/fstar/hashmap_on_disk/HashmapMain.Clauses.fst b/tests/fstar/hashmap_on_disk/HashmapMain.Clauses.fst index 699ff3b2..be5a4ab1 100644 --- a/tests/fstar/hashmap_on_disk/HashmapMain.Clauses.fst +++ b/tests/fstar/hashmap_on_disk/HashmapMain.Clauses.fst @@ -8,54 +8,54 @@ open HashmapMain.Types (** [hashmap::HashMap::allocate_slots]: decreases clause *) unfold -let hashmap_hash_map_allocate_slots_loop_decreases (t : Type0) (slots : vec (hashmap_list_t t)) +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_hash_map_clear_loop_decreases (t : Type0) (slots : vec (hashmap_list_t t)) +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_hash_map_insert_in_list_loop_decreases (t : Type0) (key : usize) (value : t) - (ls : hashmap_list_t t) : hashmap_list_t t = +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_hash_map_move_elements_from_list_loop_decreases (t : Type0) - (ntable : hashmap_hash_map_t t) (ls : hashmap_list_t t) : hashmap_list_t t = +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_hash_map_move_elements_loop_decreases (t : Type0) (ntable : hashmap_hash_map_t t) - (slots : vec (hashmap_list_t t)) (i : usize) : nat = +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_hash_map_contains_key_in_list_loop_decreases (t : Type0) (key : usize) - (ls : hashmap_list_t t) : hashmap_list_t t = +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_hash_map_get_in_list_loop_decreases (t : Type0) (key : usize) (ls : hashmap_list_t t) : - hashmap_list_t t = +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_hash_map_get_mut_in_list_loop_decreases (t : Type0) - (ls : hashmap_list_t t) (key : usize) : hashmap_list_t t = +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_hash_map_remove_from_list_loop_decreases (t : Type0) (key : usize) - (ls : hashmap_list_t t) : hashmap_list_t t = +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/hashmap_on_disk/HashmapMain.Funs.fst b/tests/fstar/hashmap_on_disk/HashmapMain.Funs.fst index 1c94209c..f2d09a38 100644 --- a/tests/fstar/hashmap_on_disk/HashmapMain.Funs.fst +++ b/tests/fstar/hashmap_on_disk/HashmapMain.Funs.fst @@ -3,535 +3,574 @@ module HashmapMain.Funs open Primitives include HashmapMain.Types -include HashmapMain.Opaque +include HashmapMain.FunsExternal include HashmapMain.Clauses #set-options "--z3rlimit 50 --fuel 1 --ifuel 1" -(** [hashmap_main::hashmap::hash_key]: forward function *) -let hashmap_hash_key_fwd (k : usize) : result usize = +(** [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::{0}::allocate_slots]: loop 0: forward function *) -let rec hashmap_hash_map_allocate_slots_loop_fwd - (t : Type0) (slots : vec (hashmap_list_t t)) (n : usize) : - Tot (result (vec (hashmap_list_t t))) - (decreases (hashmap_hash_map_allocate_slots_loop_decreases t slots n)) +(** [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* slots0 = vec_push_back (hashmap_list_t t) slots HashmapListNil in + let* slots0 = alloc_vec_Vec_push (hashmap_List_t t) slots Hashmap_List_Nil + in let* n0 = usize_sub n 1 in - hashmap_hash_map_allocate_slots_loop_fwd t slots0 n0 + hashmap_HashMap_allocate_slots_loop t slots0 n0 else Return slots -(** [hashmap_main::hashmap::HashMap::{0}::allocate_slots]: forward function *) -let hashmap_hash_map_allocate_slots_fwd - (t : Type0) (slots : vec (hashmap_list_t t)) (n : usize) : - result (vec (hashmap_list_t t)) +(** [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_hash_map_allocate_slots_loop_fwd t slots n + hashmap_HashMap_allocate_slots_loop t slots n -(** [hashmap_main::hashmap::HashMap::{0}::new_with_capacity]: forward function *) -let hashmap_hash_map_new_with_capacity_fwd +(** [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_hash_map_t t) + result (hashmap_HashMap_t t) = - let v = vec_new (hashmap_list_t t) in - let* slots = hashmap_hash_map_allocate_slots_fwd t v capacity in + let v = alloc_vec_Vec_new (hashmap_List_t t) in + let* slots = hashmap_HashMap_allocate_slots t v capacity in let* i = usize_mul capacity max_load_dividend in let* i0 = usize_div i max_load_divisor in Return { - hashmap_hash_map_num_entries = 0; - hashmap_hash_map_max_load_factor = (max_load_dividend, max_load_divisor); - hashmap_hash_map_max_load = i0; - hashmap_hash_map_slots = slots + num_entries = 0; + max_load_factor = (max_load_dividend, max_load_divisor); + max_load = i0; + slots = slots } -(** [hashmap_main::hashmap::HashMap::{0}::new]: forward function *) -let hashmap_hash_map_new_fwd (t : Type0) : result (hashmap_hash_map_t t) = - hashmap_hash_map_new_with_capacity_fwd t 32 4 5 - -(** [hashmap_main::hashmap::HashMap::{0}::clear]: loop 0: merged forward/backward function - (there is a single backward function, and the forward function returns ()) *) -let rec hashmap_hash_map_clear_loop_fwd_back - (t : Type0) (slots : vec (hashmap_list_t t)) (i : usize) : - Tot (result (vec (hashmap_list_t t))) - (decreases (hashmap_hash_map_clear_loop_decreases t slots i)) +(** [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 i0 = vec_len (hashmap_list_t t) slots in + let i0 = alloc_vec_Vec_len (hashmap_List_t t) slots in if i < i0 then let* i1 = usize_add i 1 in - let* slots0 = vec_index_mut_back (hashmap_list_t t) slots i HashmapListNil - in - hashmap_hash_map_clear_loop_fwd_back t slots0 i1 + let* slots0 = + 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 slots0 i1 else Return slots -(** [hashmap_main::hashmap::HashMap::{0}::clear]: merged forward/backward function - (there is a single backward function, and the forward function returns ()) *) -let hashmap_hash_map_clear_fwd_back - (t : Type0) (self : hashmap_hash_map_t t) : result (hashmap_hash_map_t t) = - let* v = hashmap_hash_map_clear_loop_fwd_back t self.hashmap_hash_map_slots 0 - in - Return - { self with hashmap_hash_map_num_entries = 0; hashmap_hash_map_slots = v } - -(** [hashmap_main::hashmap::HashMap::{0}::len]: forward function *) -let hashmap_hash_map_len_fwd - (t : Type0) (self : hashmap_hash_map_t t) : result usize = - Return self.hashmap_hash_map_num_entries - -(** [hashmap_main::hashmap::HashMap::{0}::insert_in_list]: loop 0: forward function *) -let rec hashmap_hash_map_insert_in_list_loop_fwd - (t : Type0) (key : usize) (value : t) (ls : hashmap_list_t t) : +(** [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_hash_map_insert_in_list_loop_decreases t key value ls)) + (decreases (hashmap_HashMap_insert_in_list_loop_decreases t key value ls)) = begin match ls with - | HashmapListCons ckey cvalue tl -> + | Hashmap_List_Cons ckey cvalue tl -> if ckey = key then Return false - else hashmap_hash_map_insert_in_list_loop_fwd t key value tl - | HashmapListNil -> Return true + else hashmap_HashMap_insert_in_list_loop t key value tl + | Hashmap_List_Nil -> Return true end -(** [hashmap_main::hashmap::HashMap::{0}::insert_in_list]: forward function *) -let hashmap_hash_map_insert_in_list_fwd - (t : Type0) (key : usize) (value : t) (ls : hashmap_list_t t) : result bool = - hashmap_hash_map_insert_in_list_loop_fwd t key value ls - -(** [hashmap_main::hashmap::HashMap::{0}::insert_in_list]: loop 0: backward function 0 *) -let rec hashmap_hash_map_insert_in_list_loop_back - (t : Type0) (key : usize) (value : t) (ls : hashmap_list_t t) : - Tot (result (hashmap_list_t t)) - (decreases (hashmap_hash_map_insert_in_list_loop_decreases t key value ls)) +(** [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 - | HashmapListCons ckey cvalue tl -> + | Hashmap_List_Cons ckey cvalue tl -> if ckey = key - then Return (HashmapListCons ckey value tl) + then Return (Hashmap_List_Cons ckey value tl) else - let* tl0 = hashmap_hash_map_insert_in_list_loop_back t key value tl in - Return (HashmapListCons ckey cvalue tl0) - | HashmapListNil -> - let l = HashmapListNil in Return (HashmapListCons key value l) + let* tl0 = hashmap_HashMap_insert_in_list_loop_back t key value tl in + Return (Hashmap_List_Cons ckey cvalue tl0) + | Hashmap_List_Nil -> + let l = Hashmap_List_Nil in Return (Hashmap_List_Cons key value l) end -(** [hashmap_main::hashmap::HashMap::{0}::insert_in_list]: backward function 0 *) -let hashmap_hash_map_insert_in_list_back - (t : Type0) (key : usize) (value : t) (ls : hashmap_list_t t) : - result (hashmap_list_t t) +(** [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_hash_map_insert_in_list_loop_back t key value ls - -(** [hashmap_main::hashmap::HashMap::{0}::insert_no_resize]: merged forward/backward function - (there is a single backward function, and the forward function returns ()) *) -let hashmap_hash_map_insert_no_resize_fwd_back - (t : Type0) (self : hashmap_hash_map_t t) (key : usize) (value : t) : - result (hashmap_hash_map_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_fwd key in - let i = vec_len (hashmap_list_t t) self.hashmap_hash_map_slots in + 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 = - vec_index_mut_fwd (hashmap_list_t t) self.hashmap_hash_map_slots hash_mod - in - let* inserted = hashmap_hash_map_insert_in_list_fwd t key value l in + 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* i0 = usize_add self.hashmap_hash_map_num_entries 1 in - let* l0 = hashmap_hash_map_insert_in_list_back t key value l in + let* i0 = usize_add self.num_entries 1 in + let* l0 = hashmap_HashMap_insert_in_list_back t key value l in let* v = - vec_index_mut_back (hashmap_list_t t) self.hashmap_hash_map_slots - hash_mod l0 in - Return - { self with hashmap_hash_map_num_entries = i0; hashmap_hash_map_slots = 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_hash_map_insert_in_list_back t key value l in + let* l0 = hashmap_HashMap_insert_in_list_back t key value l in let* v = - vec_index_mut_back (hashmap_list_t t) self.hashmap_hash_map_slots - hash_mod l0 in - Return { self with hashmap_hash_map_slots = v } - -(** [core::num::u32::{8}::MAX] *) -let core_num_u32_max_body : result u32 = Return 4294967295 -let core_num_u32_max_c : u32 = eval_global core_num_u32_max_body - -(** [hashmap_main::hashmap::HashMap::{0}::move_elements_from_list]: loop 0: merged forward/backward function - (there is a single backward function, and the forward function returns ()) *) -let rec hashmap_hash_map_move_elements_from_list_loop_fwd_back - (t : Type0) (ntable : hashmap_hash_map_t t) (ls : hashmap_list_t t) : - Tot (result (hashmap_hash_map_t t)) + 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 ()) + 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_hash_map_move_elements_from_list_loop_decreases t ntable ls)) + hashmap_HashMap_move_elements_from_list_loop_decreases t ntable ls)) = begin match ls with - | HashmapListCons k v tl -> - let* ntable0 = hashmap_hash_map_insert_no_resize_fwd_back t ntable k v in - hashmap_hash_map_move_elements_from_list_loop_fwd_back t ntable0 tl - | HashmapListNil -> Return ntable + | 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 + | Hashmap_List_Nil -> Return ntable end -(** [hashmap_main::hashmap::HashMap::{0}::move_elements_from_list]: merged forward/backward function - (there is a single backward function, and the forward function returns ()) *) -let hashmap_hash_map_move_elements_from_list_fwd_back - (t : Type0) (ntable : hashmap_hash_map_t t) (ls : hashmap_list_t t) : - result (hashmap_hash_map_t t) +(** [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_hash_map_move_elements_from_list_loop_fwd_back t ntable ls - -(** [hashmap_main::hashmap::HashMap::{0}::move_elements]: loop 0: merged forward/backward function - (there is a single backward function, and the forward function returns ()) *) -let rec hashmap_hash_map_move_elements_loop_fwd_back - (t : Type0) (ntable : hashmap_hash_map_t t) (slots : vec (hashmap_list_t t)) - (i : usize) : - Tot (result ((hashmap_hash_map_t t) & (vec (hashmap_list_t t)))) - (decreases (hashmap_hash_map_move_elements_loop_decreases t ntable slots i)) + 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 i0 = vec_len (hashmap_list_t t) slots in + let i0 = alloc_vec_Vec_len (hashmap_List_t t) slots in if i < i0 then - let* l = vec_index_mut_fwd (hashmap_list_t t) slots i in - let ls = mem_replace_fwd (hashmap_list_t t) l HashmapListNil in - let* ntable0 = - hashmap_hash_map_move_elements_from_list_fwd_back t ntable ls in + 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* ntable0 = hashmap_HashMap_move_elements_from_list t ntable ls in let* i1 = usize_add i 1 in - let l0 = mem_replace_back (hashmap_list_t t) l HashmapListNil in - let* slots0 = vec_index_mut_back (hashmap_list_t t) slots i l0 in - hashmap_hash_map_move_elements_loop_fwd_back t ntable0 slots0 i1 + 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 else Return (ntable, slots) -(** [hashmap_main::hashmap::HashMap::{0}::move_elements]: merged forward/backward function - (there is a single backward function, and the forward function returns ()) *) -let hashmap_hash_map_move_elements_fwd_back - (t : Type0) (ntable : hashmap_hash_map_t t) (slots : vec (hashmap_list_t t)) - (i : usize) : - result ((hashmap_hash_map_t t) & (vec (hashmap_list_t t))) +(** [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_hash_map_move_elements_loop_fwd_back t ntable slots i - -(** [hashmap_main::hashmap::HashMap::{0}::try_resize]: merged forward/backward function - (there is a single backward function, and the forward function returns ()) *) -let hashmap_hash_map_try_resize_fwd_back - (t : Type0) (self : hashmap_hash_map_t t) : result (hashmap_hash_map_t t) = - let* max_usize = scalar_cast U32 Usize core_num_u32_max_c in - let capacity = vec_len (hashmap_list_t t) self.hashmap_hash_map_slots in + 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, i0) = self.hashmap_hash_map_max_load_factor in + let (i, i0) = self.max_load_factor in let* i1 = usize_div n1 i in if capacity <= i1 then let* i2 = usize_mul capacity 2 in - let* ntable = hashmap_hash_map_new_with_capacity_fwd t i2 i i0 in - let* (ntable0, _) = - hashmap_hash_map_move_elements_fwd_back t ntable - self.hashmap_hash_map_slots 0 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 Return - { - ntable0 - with - hashmap_hash_map_num_entries = self.hashmap_hash_map_num_entries; - hashmap_hash_map_max_load_factor = (i, i0) + { ntable0 with num_entries = self.num_entries; max_load_factor = (i, i0) } - else Return { self with hashmap_hash_map_max_load_factor = (i, i0) } - -(** [hashmap_main::hashmap::HashMap::{0}::insert]: merged forward/backward function - (there is a single backward function, and the forward function returns ()) *) -let hashmap_hash_map_insert_fwd_back - (t : Type0) (self : hashmap_hash_map_t t) (key : usize) (value : t) : - result (hashmap_hash_map_t t) + else Return { 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 ()) + 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_hash_map_insert_no_resize_fwd_back t self key value in - let* i = hashmap_hash_map_len_fwd t self0 in - if i > self0.hashmap_hash_map_max_load - then hashmap_hash_map_try_resize_fwd_back t self0 + 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 -(** [hashmap_main::hashmap::HashMap::{0}::contains_key_in_list]: loop 0: forward function *) -let rec hashmap_hash_map_contains_key_in_list_loop_fwd - (t : Type0) (key : usize) (ls : hashmap_list_t t) : +(** [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_hash_map_contains_key_in_list_loop_decreases t key ls)) + (decreases (hashmap_HashMap_contains_key_in_list_loop_decreases t key ls)) = begin match ls with - | HashmapListCons ckey x tl -> + | Hashmap_List_Cons ckey x tl -> if ckey = key then Return true - else hashmap_hash_map_contains_key_in_list_loop_fwd t key tl - | HashmapListNil -> Return false + else hashmap_HashMap_contains_key_in_list_loop t key tl + | Hashmap_List_Nil -> Return false end -(** [hashmap_main::hashmap::HashMap::{0}::contains_key_in_list]: forward function *) -let hashmap_hash_map_contains_key_in_list_fwd - (t : Type0) (key : usize) (ls : hashmap_list_t t) : result bool = - hashmap_hash_map_contains_key_in_list_loop_fwd t key ls - -(** [hashmap_main::hashmap::HashMap::{0}::contains_key]: forward function *) -let hashmap_hash_map_contains_key_fwd - (t : Type0) (self : hashmap_hash_map_t t) (key : usize) : result bool = - let* hash = hashmap_hash_key_fwd key in - let i = vec_len (hashmap_list_t t) self.hashmap_hash_map_slots in +(** [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 = - vec_index_fwd (hashmap_list_t t) self.hashmap_hash_map_slots hash_mod in - hashmap_hash_map_contains_key_in_list_fwd t key l - -(** [hashmap_main::hashmap::HashMap::{0}::get_in_list]: loop 0: forward function *) -let rec hashmap_hash_map_get_in_list_loop_fwd - (t : Type0) (key : usize) (ls : hashmap_list_t t) : + 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_hash_map_get_in_list_loop_decreases t key ls)) + (decreases (hashmap_HashMap_get_in_list_loop_decreases t key ls)) = begin match ls with - | HashmapListCons ckey cvalue tl -> + | Hashmap_List_Cons ckey cvalue tl -> if ckey = key then Return cvalue - else hashmap_hash_map_get_in_list_loop_fwd t key tl - | HashmapListNil -> Fail Failure + else hashmap_HashMap_get_in_list_loop t key tl + | Hashmap_List_Nil -> Fail Failure end -(** [hashmap_main::hashmap::HashMap::{0}::get_in_list]: forward function *) -let hashmap_hash_map_get_in_list_fwd - (t : Type0) (key : usize) (ls : hashmap_list_t t) : result t = - hashmap_hash_map_get_in_list_loop_fwd t key ls - -(** [hashmap_main::hashmap::HashMap::{0}::get]: forward function *) -let hashmap_hash_map_get_fwd - (t : Type0) (self : hashmap_hash_map_t t) (key : usize) : result t = - let* hash = hashmap_hash_key_fwd key in - let i = vec_len (hashmap_list_t t) self.hashmap_hash_map_slots in +(** [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 = - vec_index_fwd (hashmap_list_t t) self.hashmap_hash_map_slots hash_mod in - hashmap_hash_map_get_in_list_fwd t key l - -(** [hashmap_main::hashmap::HashMap::{0}::get_mut_in_list]: loop 0: forward function *) -let rec hashmap_hash_map_get_mut_in_list_loop_fwd - (t : Type0) (ls : hashmap_list_t t) (key : usize) : + 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_hash_map_get_mut_in_list_loop_decreases t ls key)) + (decreases (hashmap_HashMap_get_mut_in_list_loop_decreases t ls key)) = begin match ls with - | HashmapListCons ckey cvalue tl -> + | Hashmap_List_Cons ckey cvalue tl -> if ckey = key then Return cvalue - else hashmap_hash_map_get_mut_in_list_loop_fwd t tl key - | HashmapListNil -> Fail Failure + else hashmap_HashMap_get_mut_in_list_loop t tl key + | Hashmap_List_Nil -> Fail Failure end -(** [hashmap_main::hashmap::HashMap::{0}::get_mut_in_list]: forward function *) -let hashmap_hash_map_get_mut_in_list_fwd - (t : Type0) (ls : hashmap_list_t t) (key : usize) : result t = - hashmap_hash_map_get_mut_in_list_loop_fwd t ls key - -(** [hashmap_main::hashmap::HashMap::{0}::get_mut_in_list]: loop 0: backward function 0 *) -let rec hashmap_hash_map_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_hash_map_get_mut_in_list_loop_decreases t ls key)) +(** [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 - | HashmapListCons ckey cvalue tl -> + | Hashmap_List_Cons ckey cvalue tl -> if ckey = key - then Return (HashmapListCons ckey ret tl) + then Return (Hashmap_List_Cons ckey ret tl) else - let* tl0 = hashmap_hash_map_get_mut_in_list_loop_back t tl key ret in - Return (HashmapListCons ckey cvalue tl0) - | HashmapListNil -> Fail Failure + let* tl0 = hashmap_HashMap_get_mut_in_list_loop_back t tl key ret in + Return (Hashmap_List_Cons ckey cvalue tl0) + | Hashmap_List_Nil -> Fail Failure end -(** [hashmap_main::hashmap::HashMap::{0}::get_mut_in_list]: backward function 0 *) -let hashmap_hash_map_get_mut_in_list_back - (t : Type0) (ls : hashmap_list_t t) (key : usize) (ret : t) : - result (hashmap_list_t t) +(** [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_hash_map_get_mut_in_list_loop_back t ls key ret - -(** [hashmap_main::hashmap::HashMap::{0}::get_mut]: forward function *) -let hashmap_hash_map_get_mut_fwd - (t : Type0) (self : hashmap_hash_map_t t) (key : usize) : result t = - let* hash = hashmap_hash_key_fwd key in - let i = vec_len (hashmap_list_t t) self.hashmap_hash_map_slots in + 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 = - vec_index_mut_fwd (hashmap_list_t t) self.hashmap_hash_map_slots hash_mod - in - hashmap_hash_map_get_mut_in_list_fwd t l key - -(** [hashmap_main::hashmap::HashMap::{0}::get_mut]: backward function 0 *) -let hashmap_hash_map_get_mut_back - (t : Type0) (self : hashmap_hash_map_t t) (key : usize) (ret : t) : - result (hashmap_hash_map_t t) + 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_fwd key in - let i = vec_len (hashmap_list_t t) self.hashmap_hash_map_slots in + 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 = - vec_index_mut_fwd (hashmap_list_t t) self.hashmap_hash_map_slots hash_mod - in - let* l0 = hashmap_hash_map_get_mut_in_list_back t l key ret in + 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 = - vec_index_mut_back (hashmap_list_t t) self.hashmap_hash_map_slots hash_mod - l0 in - Return { self with hashmap_hash_map_slots = v } - -(** [hashmap_main::hashmap::HashMap::{0}::remove_from_list]: loop 0: forward function *) -let rec hashmap_hash_map_remove_from_list_loop_fwd - (t : Type0) (key : usize) (ls : hashmap_list_t t) : + 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 + 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_hash_map_remove_from_list_loop_decreases t key ls)) + (decreases (hashmap_HashMap_remove_from_list_loop_decreases t key ls)) = begin match ls with - | HashmapListCons ckey x tl -> + | Hashmap_List_Cons ckey x tl -> if ckey = key then let mv_ls = - mem_replace_fwd (hashmap_list_t t) (HashmapListCons ckey x tl) - HashmapListNil in + core_mem_replace (hashmap_List_t t) (Hashmap_List_Cons ckey x tl) + Hashmap_List_Nil in begin match mv_ls with - | HashmapListCons i cvalue tl0 -> Return (Some cvalue) - | HashmapListNil -> Fail Failure + | Hashmap_List_Cons i cvalue tl0 -> Return (Some cvalue) + | Hashmap_List_Nil -> Fail Failure end - else hashmap_hash_map_remove_from_list_loop_fwd t key tl - | HashmapListNil -> Return None + else hashmap_HashMap_remove_from_list_loop t key tl + | Hashmap_List_Nil -> Return None end -(** [hashmap_main::hashmap::HashMap::{0}::remove_from_list]: forward function *) -let hashmap_hash_map_remove_from_list_fwd - (t : Type0) (key : usize) (ls : hashmap_list_t t) : result (option t) = - hashmap_hash_map_remove_from_list_loop_fwd t key ls - -(** [hashmap_main::hashmap::HashMap::{0}::remove_from_list]: loop 0: backward function 1 *) -let rec hashmap_hash_map_remove_from_list_loop_back - (t : Type0) (key : usize) (ls : hashmap_list_t t) : - Tot (result (hashmap_list_t t)) - (decreases (hashmap_hash_map_remove_from_list_loop_decreases t key ls)) +(** [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 - | HashmapListCons ckey x tl -> + | Hashmap_List_Cons ckey x tl -> if ckey = key then let mv_ls = - mem_replace_fwd (hashmap_list_t t) (HashmapListCons ckey x tl) - HashmapListNil in + core_mem_replace (hashmap_List_t t) (Hashmap_List_Cons ckey x tl) + Hashmap_List_Nil in begin match mv_ls with - | HashmapListCons i cvalue tl0 -> Return tl0 - | HashmapListNil -> Fail Failure + | Hashmap_List_Cons i cvalue tl0 -> Return tl0 + | Hashmap_List_Nil -> Fail Failure end else - let* tl0 = hashmap_hash_map_remove_from_list_loop_back t key tl in - Return (HashmapListCons ckey x tl0) - | HashmapListNil -> Return HashmapListNil + 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 end -(** [hashmap_main::hashmap::HashMap::{0}::remove_from_list]: backward function 1 *) -let hashmap_hash_map_remove_from_list_back - (t : Type0) (key : usize) (ls : hashmap_list_t t) : - result (hashmap_list_t t) +(** [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_hash_map_remove_from_list_loop_back t key ls - -(** [hashmap_main::hashmap::HashMap::{0}::remove]: forward function *) -let hashmap_hash_map_remove_fwd - (t : Type0) (self : hashmap_hash_map_t t) (key : usize) : result (option t) = - let* hash = hashmap_hash_key_fwd key in - let i = vec_len (hashmap_list_t t) self.hashmap_hash_map_slots in + 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 = - vec_index_mut_fwd (hashmap_list_t t) self.hashmap_hash_map_slots hash_mod - in - let* x = hashmap_hash_map_remove_from_list_fwd t key l in + 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.hashmap_hash_map_num_entries 1 in Return (Some x0) + | Some x0 -> let* _ = usize_sub self.num_entries 1 in Return (Some x0) end -(** [hashmap_main::hashmap::HashMap::{0}::remove]: backward function 0 *) -let hashmap_hash_map_remove_back - (t : Type0) (self : hashmap_hash_map_t t) (key : usize) : - result (hashmap_hash_map_t t) +(** [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_fwd key in - let i = vec_len (hashmap_list_t t) self.hashmap_hash_map_slots in + 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 = - vec_index_mut_fwd (hashmap_list_t t) self.hashmap_hash_map_slots hash_mod - in - let* x = hashmap_hash_map_remove_from_list_fwd t key l in + 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* l0 = hashmap_hash_map_remove_from_list_back t key l in + let* l0 = hashmap_HashMap_remove_from_list_back t key l in let* v = - vec_index_mut_back (hashmap_list_t t) self.hashmap_hash_map_slots - hash_mod l0 in - Return { self with hashmap_hash_map_slots = 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.hashmap_hash_map_num_entries 1 in - let* l0 = hashmap_hash_map_remove_from_list_back t key l in + let* i0 = usize_sub self.num_entries 1 in + let* l0 = hashmap_HashMap_remove_from_list_back t key l in let* v = - vec_index_mut_back (hashmap_list_t t) self.hashmap_hash_map_slots - hash_mod l0 in - Return - { self with hashmap_hash_map_num_entries = i0; hashmap_hash_map_slots = 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 } end -(** [hashmap_main::hashmap::test1]: forward function *) -let hashmap_test1_fwd : result unit = - let* hm = hashmap_hash_map_new_fwd u64 in - let* hm0 = hashmap_hash_map_insert_fwd_back u64 hm 0 42 in - let* hm1 = hashmap_hash_map_insert_fwd_back u64 hm0 128 18 in - let* hm2 = hashmap_hash_map_insert_fwd_back u64 hm1 1024 138 in - let* hm3 = hashmap_hash_map_insert_fwd_back u64 hm2 1056 256 in - let* i = hashmap_hash_map_get_fwd u64 hm3 128 in +(** [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* 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 if not (i = 18) then Fail Failure else - let* hm4 = hashmap_hash_map_get_mut_back u64 hm3 1024 56 in - let* i0 = hashmap_hash_map_get_fwd u64 hm4 1024 in + 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) then Fail Failure else - let* x = hashmap_hash_map_remove_fwd u64 hm4 1024 in + let* x = hashmap_HashMap_remove u64 hm4 1024 in begin match x with | None -> Fail Failure | Some x0 -> if not (x0 = 56) then Fail Failure else - let* hm5 = hashmap_hash_map_remove_back u64 hm4 1024 in - let* i1 = hashmap_hash_map_get_fwd u64 hm5 0 in + let* hm5 = hashmap_HashMap_remove_back u64 hm4 1024 in + let* i1 = hashmap_HashMap_get u64 hm5 0 in if not (i1 = 42) then Fail Failure else - let* i2 = hashmap_hash_map_get_fwd u64 hm5 128 in + let* i2 = hashmap_HashMap_get u64 hm5 128 in if not (i2 = 18) then Fail Failure else - let* i3 = hashmap_hash_map_get_fwd u64 hm5 1056 in + let* i3 = hashmap_HashMap_get u64 hm5 1056 in if not (i3 = 256) then Fail Failure else Return () end -(** Unit test for [hashmap_main::hashmap::test1] *) -let _ = assert_norm (hashmap_test1_fwd = Return ()) - -(** [hashmap_main::insert_on_disk]: forward function *) -let insert_on_disk_fwd +(** [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* (st0, hm) = hashmap_utils_deserialize_fwd st in - let* hm0 = hashmap_hash_map_insert_fwd_back u64 hm key value in - let* (st1, _) = hashmap_utils_serialize_fwd hm0 st0 in + 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, ()) -(** [hashmap_main::main]: forward function *) -let main_fwd : result unit = +(** [hashmap_main::main]: forward function + Source: 'src/hashmap_main.rs', lines 16:0-16:13 *) +let main : result unit = Return () -(** Unit test for [hashmap_main::main] *) -let _ = assert_norm (main_fwd = Return ()) - diff --git a/tests/fstar/hashmap_on_disk/HashmapMain.FunsExternal.fsti b/tests/fstar/hashmap_on_disk/HashmapMain.FunsExternal.fsti new file mode 100644 index 00000000..b00bbcde --- /dev/null +++ b/tests/fstar/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/hashmap_on_disk/HashmapMain.Opaque.fsti b/tests/fstar/hashmap_on_disk/HashmapMain.Opaque.fsti deleted file mode 100644 index 78a6c3ba..00000000 --- a/tests/fstar/hashmap_on_disk/HashmapMain.Opaque.fsti +++ /dev/null @@ -1,16 +0,0 @@ -(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *) -(** [hashmap_main]: external function declarations *) -module HashmapMain.Opaque -open Primitives -include HashmapMain.Types - -#set-options "--z3rlimit 50 --fuel 1 --ifuel 1" - -(** [hashmap_main::hashmap_utils::deserialize]: forward function *) -val hashmap_utils_deserialize_fwd - : state -> result (state & (hashmap_hash_map_t u64)) - -(** [hashmap_main::hashmap_utils::serialize]: forward function *) -val hashmap_utils_serialize_fwd - : hashmap_hash_map_t u64 -> state -> result (state & unit) - diff --git a/tests/fstar/hashmap_on_disk/HashmapMain.Properties.fst b/tests/fstar/hashmap_on_disk/HashmapMain.Properties.fst index 106fe05a..358df29e 100644 --- a/tests/fstar/hashmap_on_disk/HashmapMain.Properties.fst +++ b/tests/fstar/hashmap_on_disk/HashmapMain.Properties.fst @@ -13,36 +13,36 @@ open HashmapMain.Funs /// [state_v] gives us the hash map currently stored on disk assume -val state_v : state -> hashmap_hash_map_t u64 +val state_v : state -> hashmap_HashMap_t u64 /// [serialize] updates the hash map stored on disk assume -val serialize_lem (hm : hashmap_hash_map_t u64) (st : state) : Lemma ( - match hashmap_utils_serialize_fwd hm st with +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_fwd hm st)] + [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_fwd st with + match hashmap_utils_deserialize st with | Fail _ -> True | Return (st', hm) -> hm == state_v st /\ st' == st) - [SMTPat (hashmap_utils_deserialize_fwd 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_fwd_lem (key : usize) (value : u64) (st : state) : Lemma ( - match insert_on_disk_fwd key value st with +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_hash_map_insert_fwd_back u64 hm key value with + match hashmap_HashMap_insert u64 hm key value with | Fail _ -> False | Return hm' -> hm' == state_v st') -let insert_on_disk_fwd_lem key value st = () +let insert_on_disk_lem key value st = () diff --git a/tests/fstar/hashmap_on_disk/HashmapMain.Types.fst b/tests/fstar/hashmap_on_disk/HashmapMain.Types.fst new file mode 100644 index 00000000..afebcde3 --- /dev/null +++ b/tests/fstar/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/hashmap_on_disk/HashmapMain.Types.fsti b/tests/fstar/hashmap_on_disk/HashmapMain.Types.fsti deleted file mode 100644 index e289174b..00000000 --- a/tests/fstar/hashmap_on_disk/HashmapMain.Types.fsti +++ /dev/null @@ -1,24 +0,0 @@ -(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *) -(** [hashmap_main]: type definitions *) -module HashmapMain.Types -open Primitives - -#set-options "--z3rlimit 50 --fuel 1 --ifuel 1" - -(** [hashmap_main::hashmap::List] *) -type hashmap_list_t (t : Type0) = -| HashmapListCons : usize -> t -> hashmap_list_t t -> hashmap_list_t t -| HashmapListNil : hashmap_list_t t - -(** [hashmap_main::hashmap::HashMap] *) -type hashmap_hash_map_t (t : Type0) = -{ - hashmap_hash_map_num_entries : usize; - hashmap_hash_map_max_load_factor : (usize & usize); - hashmap_hash_map_max_load : usize; - hashmap_hash_map_slots : vec (hashmap_list_t t); -} - -(** The state type used in the state-error monad *) -val state : Type0 - diff --git a/tests/fstar/hashmap_on_disk/HashmapMain.TypesExternal.fsti b/tests/fstar/hashmap_on_disk/HashmapMain.TypesExternal.fsti new file mode 100644 index 00000000..75747408 --- /dev/null +++ b/tests/fstar/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/hashmap_on_disk/Primitives.fst b/tests/fstar/hashmap_on_disk/Primitives.fst index 9db82069..dd340c00 100644 --- a/tests/fstar/hashmap_on_disk/Primitives.fst +++ b/tests/fstar/hashmap_on_disk/Primitives.fst @@ -55,12 +55,20 @@ type string = string let is_zero (n: nat) : bool = n = 0 let decrease (n: nat{n > 0}) : nat = n - 1 -let mem_replace_fwd (a : Type0) (x : a) (y : a) : a = x -let mem_replace_back (a : Type0) (x : a) (y : a) : a = y +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 @@ -100,6 +108,10 @@ type scalar_ty = | 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 @@ -162,6 +174,100 @@ let scalar_sub (#ty : scalar_ty) (x : scalar ty) (y : scalar ty) : result (scala 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) = @@ -169,17 +275,44 @@ let scalar_cast (src_ty : scalar_ty) (tgt_ty : scalar_ty) (x : scalar src_ty) : /// 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 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 +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 @@ -231,7 +364,7 @@ let u32_add = scalar_add #U32 let u64_add = scalar_add #U64 let u128_add = scalar_add #U128 -/// Substraction +/// Subtraction let isize_sub = scalar_sub #Isize let i8_sub = scalar_sub #I8 let i16_sub = scalar_sub #I16 @@ -259,12 +392,128 @@ let u32_mul = scalar_mul #U32 let u64_mul = scalar_mul #U64 let u128_mul = scalar_mul #U128 -(*** Range *) -type range (a : Type0) = { +/// 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} @@ -278,15 +527,11 @@ let mk_array (a : Type0) (n : usize) normalize_term_spec (FStar.List.Tot.length l); l -let array_index_shared (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_index_mut_fwd (a : Type0) (n : usize) (x : array a n) (i : usize) : result a = +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_index_mut_back (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 @@ -295,55 +540,54 @@ 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_shared (a : Type0) (x : slice a) (i : usize) : result a = - if i < length x then Return (index x i) - else Fail Failure - -let slice_index_mut_fwd (a : Type0) (x : slice a) (i : usize) : result a = +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_index_mut_back (a : Type0) (x : slice a) (i : usize) (nx : a) : result (slice a) = +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_shared (a : Type0) (n : usize) (x : array a n) : result (slice a) = Return x -let array_to_slice_mut_fwd (a : Type0) (n : usize) (x : array a n) : result (slice a) = Return x -let array_to_slice_mut_back (a : Type0) (n : usize) (x : array a n) (s : slice a) : result (array a n) = +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_shared (a : Type0) (n : usize) (x : array a n) (r : range usize) : result (slice a) = +let array_subslice (a : Type0) (n : usize) (x : array a n) (r : core_ops_range_Range usize) : result (slice a) = admit() -let array_subslice_mut_fwd (a : Type0) (n : usize) (x : array a n) (r : range usize) : result (slice a) = +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_subslice_mut_back (a : Type0) (n : usize) (x : array a n) (r : range usize) (ns : slice a) : result (array a n) = +let array_repeat (a : Type0) (n : usize) (x : a) : array a n = admit() -let slice_subslice_shared (a : Type0) (x : slice a) (r : range usize) : result (slice a) = +let slice_subslice (a : Type0) (x : slice a) (r : core_ops_range_Range usize) : result (slice a) = admit() -let slice_subslice_mut_fwd (a : Type0) (x : slice a) (r : range usize) : result (slice a) = - admit() - -let slice_subslice_mut_back (a : Type0) (x : slice a) (r : range usize) (ns : slice a) : result (slice a) = +let slice_update_subslice (a : Type0) (x : slice a) (r : core_ops_range_Range usize) (ns : slice a) : result (slice a) = admit() (*** Vector *) -type vec (a : Type0) = v:list a{length v <= usize_max} +type alloc_vec_Vec (a : Type0) = v:list a{length v <= usize_max} -let vec_new (a : Type0) : vec a = assert_norm(length #a [] == 0); [] -let vec_len (a : Type0) (v : vec a) : usize = length v +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 vec_push_fwd (a : Type0) (v : vec a) (x : a) : unit = () -let vec_push_back (a : Type0) (v : vec a) (x : a) : - Pure (result (vec a)) +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 @@ -358,18 +602,279 @@ let vec_push_back (a : Type0) (v : vec a) (x : a) : else Fail Failure // The **forward** function shouldn't be used -let vec_insert_fwd (a : Type0) (v : vec a) (i : usize) (x : a) : result unit = +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 vec_insert_back (a : Type0) (v : vec a) (i : usize) (x : a) : result (vec a) = +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 -// The **backward** function shouldn't be used -let vec_index_fwd (a : Type0) (v : vec a) (i : usize) : result a = - if i < length v then Return (index v i) else Fail Failure -let vec_index_back (a : Type0) (v : vec a) (i : usize) (x : a) : result unit = - if i < length v then Return () 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; +} -let vec_index_mut_fwd (a : Type0) (v : vec a) (i : usize) : result a = - if i < length v then Return (index v i) else Fail Failure -let vec_index_mut_back (a : Type0) (v : vec a) (i : usize) (nx : a) : result (vec a) = - if i < length v then Return (list_update v i nx) else Fail Failure +// [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/misc/Bitwise.fst b/tests/fstar/misc/Bitwise.fst new file mode 100644 index 00000000..d7ba2c57 --- /dev/null +++ b/tests/fstar/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/misc/Constants.fst b/tests/fstar/misc/Constants.fst index d2b0415e..daeefbb0 100644 --- a/tests/fstar/misc/Constants.fst +++ b/tests/fstar/misc/Constants.fst @@ -5,117 +5,141 @@ open Primitives #set-options "--z3rlimit 50 --fuel 1 --ifuel 1" -(** [constants::X0] *) +(** [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 -(** [core::num::u32::{8}::MAX] *) -let core_num_u32_max_body : result u32 = Return 4294967295 -let core_num_u32_max_c : u32 = eval_global core_num_u32_max_body - -(** [constants::X1] *) -let x1_body : result u32 = Return core_num_u32_max_c +(** [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] *) +(** [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 *) -let incr_fwd (n : u32) : result u32 = +(** [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] *) -let x3_body : result u32 = incr_fwd 32 +(** [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 *) -let mk_pair0_fwd (x : u32) (y : u32) : result (u32 & u32) = +(** [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] *) -type pair_t (t1 t2 : Type0) = { pair_x : t1; pair_y : t2; } +(** [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 *) -let mk_pair1_fwd (x : u32) (y : u32) : result (pair_t u32 u32) = - Return { pair_x = x; pair_y = y } +(** [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] *) -let p0_body : result (u32 & u32) = mk_pair0_fwd 0 1 +(** [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] *) -let p1_body : result (pair_t u32 u32) = mk_pair1_fwd 0 1 +(** [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] *) +(** [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] *) -let p3_body : result (pair_t u32 u32) = Return { pair_x = 0; pair_y = 1 } +(** [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] *) -type wrap_t (t : Type0) = { wrap_val : t; } +(** [constants::Wrap] + Source: 'src/constants.rs', lines 49:0-49:18 *) +type wrap_t (t : Type0) = { value : t; } -(** [constants::Wrap::{0}::new]: forward function *) -let wrap_new_fwd (t : Type0) (val0 : t) : result (wrap_t t) = - Return { wrap_val = val0 } +(** [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] *) -let y_body : result (wrap_t i32) = wrap_new_fwd i32 2 +(** [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 *) -let unwrap_y_fwd : result i32 = - Return y_c.wrap_val +(** [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] *) -let yval_body : result i32 = unwrap_y_fwd +(** [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] *) +(** [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 *) -let get_z1_fwd : result i32 = +(** [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 *) -let add_fwd (a : i32) (b : i32) : result i32 = +(** [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] *) +(** [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] *) +(** [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] *) -let q3_body : result i32 = add_fwd q2_c 3 +(** [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 *) -let get_z2_fwd : result i32 = - let* i = get_z1_fwd in let* i0 = add_fwd i q3_c in add_fwd q1_c i0 +(** [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* i0 = add i q3_c in add q1_c i0 -(** [constants::S1] *) +(** [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] *) -let s2_body : result u32 = incr_fwd s1_c +(** [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] *) +(** [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] *) -let s4_body : result (pair_t u32 u32) = mk_pair1_fwd 7 8 +(** [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/misc/External.Funs.fst b/tests/fstar/misc/External.Funs.fst index f118a2cf..00995634 100644 --- a/tests/fstar/misc/External.Funs.fst +++ b/tests/fstar/misc/External.Funs.fst @@ -3,73 +3,82 @@ module External.Funs open Primitives include External.Types -include External.Opaque +include External.FunsExternal #set-options "--z3rlimit 50 --fuel 1 --ifuel 1" -(** [external::swap]: forward function *) -let swap_fwd (t : Type0) (x : t) (y : t) (st : state) : result (state & unit) = - let* (st0, _) = core_mem_swap_fwd t x y st in +(** [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* (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, ()) -(** [external::swap]: backward function 0 *) +(** [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_fwd t x y st in + 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 *) -let test_new_non_zero_u32_fwd - (x : u32) (st : state) : result (state & core_num_nonzero_non_zero_u32_t) = - let* (st0, opt) = core_num_nonzero_non_zero_u32_new_fwd x st in - core_option_option_unwrap_fwd core_num_nonzero_non_zero_u32_t opt st0 +(** [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* (st0, o) = core_num_nonzero_NonZeroU32_new x st in + core_option_Option_unwrap core_num_nonzero_NonZeroU32_t o st0 -(** [external::test_vec]: forward function *) -let test_vec_fwd : result unit = - let v = vec_new u32 in let* _ = vec_push_back u32 v 0 in Return () +(** [external::test_vec]: forward function + 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 () (** Unit test for [external::test_vec] *) -let _ = assert_norm (test_vec_fwd = Return ()) +let _ = assert_norm (test_vec = Return ()) -(** [external::custom_swap]: forward function *) -let custom_swap_fwd - (t : Type0) (x : t) (y : t) (st : state) : result (state & t) = - let* (st0, _) = core_mem_swap_fwd t x y st in +(** [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]: 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) (st0 : state) : result (state & (t & t)) = - let* (st1, _) = core_mem_swap_fwd t x y st in + 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 *) -let test_custom_swap_fwd - (x : u32) (y : u32) (st : state) : result (state & unit) = - let* (st0, _) = custom_swap_fwd u32 x y st in Return (st0, ()) +(** [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, ()) -(** [external::test_custom_swap]: backward function 0 *) +(** [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) (st0 : state) : result (state & (u32 & u32)) = custom_swap_back u32 x y st 1 st0 -(** [external::test_swap_non_zero]: forward function *) -let test_swap_non_zero_fwd (x : u32) (st : state) : result (state & u32) = - let* (st0, _) = swap_fwd u32 x 0 st in +(** [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* (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) diff --git a/tests/fstar/misc/External.FunsExternal.fsti b/tests/fstar/misc/External.FunsExternal.fsti new file mode 100644 index 00000000..923a1101 --- /dev/null +++ b/tests/fstar/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/misc/External.Opaque.fsti b/tests/fstar/misc/External.Opaque.fsti deleted file mode 100644 index 2e19f767..00000000 --- a/tests/fstar/misc/External.Opaque.fsti +++ /dev/null @@ -1,27 +0,0 @@ -(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *) -(** [external]: external function declarations *) -module External.Opaque -open Primitives -include External.Types - -#set-options "--z3rlimit 50 --fuel 1 --ifuel 1" - -(** [core::mem::swap]: forward function *) -val core_mem_swap_fwd (t : Type0) : t -> t -> state -> result (state & unit) - -(** [core::mem::swap]: backward function 0 *) -val core_mem_swap_back0 - (t : Type0) : t -> t -> state -> state -> result (state & t) - -(** [core::mem::swap]: backward function 1 *) -val core_mem_swap_back1 - (t : Type0) : t -> t -> state -> state -> result (state & t) - -(** [core::num::nonzero::NonZeroU32::{14}::new]: forward function *) -val core_num_nonzero_non_zero_u32_new_fwd - : u32 -> state -> result (state & (option core_num_nonzero_non_zero_u32_t)) - -(** [core::option::Option::{0}::unwrap]: forward function *) -val core_option_option_unwrap_fwd - (t : Type0) : option t -> state -> result (state & t) - diff --git a/tests/fstar/misc/External.Types.fst b/tests/fstar/misc/External.Types.fst new file mode 100644 index 00000000..4fbcec47 --- /dev/null +++ b/tests/fstar/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/misc/External.TypesExternal.fsti b/tests/fstar/misc/External.TypesExternal.fsti new file mode 100644 index 00000000..4bfbe0c5 --- /dev/null +++ b/tests/fstar/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/misc/Loops.Clauses.Template.fst b/tests/fstar/misc/Loops.Clauses.Template.fst index 053b7663..6be351c6 100644 --- a/tests/fstar/misc/Loops.Clauses.Template.fst +++ b/tests/fstar/misc/Loops.Clauses.Template.fst @@ -6,104 +6,124 @@ open Loops.Types #set-options "--z3rlimit 50 --fuel 1 --ifuel 1" -(** [loops::sum]: decreases clause *) +(** [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 *) +(** [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 *) +(** [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 *) -unfold let clear_loop_decreases (v : vec u32) (i : usize) : 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 *) +(** [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 *) +(** [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 *) +(** [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 *) +(** [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 *) +(** [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 *) +(** [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 *) +(** [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 *) +(** [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 *) +(** [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 *) +(** [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 *) +(** [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 *) +(** [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 *) +(** [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 *) +(** [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 *) +(** [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 = diff --git a/tests/fstar/misc/Loops.Clauses.fst b/tests/fstar/misc/Loops.Clauses.fst index 82f34de1..75194437 100644 --- a/tests/fstar/misc/Loops.Clauses.fst +++ b/tests/fstar/misc/Loops.Clauses.fst @@ -20,7 +20,7 @@ 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 : vec u32) (i : usize) : nat = +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 *) diff --git a/tests/fstar/misc/Loops.Funs.fst b/tests/fstar/misc/Loops.Funs.fst index 9a80f415..d2ac5561 100644 --- a/tests/fstar/misc/Loops.Funs.fst +++ b/tests/fstar/misc/Loops.Funs.fst @@ -7,21 +7,24 @@ include Loops.Clauses #set-options "--z3rlimit 50 --fuel 1 --ifuel 1" -(** [loops::sum]: loop 0: forward function *) -let rec sum_loop_fwd +(** [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* s0 = u32_add s i in let* i0 = u32_add i 1 in sum_loop_fwd max i0 s0 + then let* s0 = u32_add s i in let* i0 = u32_add i 1 in sum_loop max i0 s0 else u32_mul s 2 -(** [loops::sum]: forward function *) -let sum_fwd (max : u32) : result u32 = - sum_loop_fwd max 0 0 +(** [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 *) -let rec sum_with_mut_borrows_loop_fwd +(** [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)) = @@ -29,15 +32,17 @@ let rec sum_with_mut_borrows_loop_fwd then let* ms0 = u32_add ms mi in let* mi0 = u32_add mi 1 in - sum_with_mut_borrows_loop_fwd max mi0 ms0 + sum_with_mut_borrows_loop max mi0 ms0 else u32_mul ms 2 -(** [loops::sum_with_mut_borrows]: forward function *) -let sum_with_mut_borrows_fwd (max : u32) : result u32 = - sum_with_mut_borrows_loop_fwd max 0 0 +(** [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 *) -let rec sum_with_shared_borrows_loop_fwd +(** [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)) = @@ -45,620 +50,682 @@ let rec sum_with_shared_borrows_loop_fwd then let* i0 = u32_add i 1 in let* s0 = u32_add s i0 in - sum_with_shared_borrows_loop_fwd max i0 s0 + sum_with_shared_borrows_loop max i0 s0 else u32_mul s 2 -(** [loops::sum_with_shared_borrows]: forward function *) -let sum_with_shared_borrows_fwd (max : u32) : result u32 = - sum_with_shared_borrows_loop_fwd max 0 0 +(** [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 ()) *) -let rec clear_loop_fwd_back - (v : vec u32) (i : usize) : - Tot (result (vec u32)) (decreases (clear_loop_decreases v i)) + (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 i0 = vec_len u32 v in + let i0 = alloc_vec_Vec_len u32 v in if i < i0 then let* i1 = usize_add i 1 in - let* v0 = vec_index_mut_back u32 v i 0 in - clear_loop_fwd_back v0 i1 + let* v0 = + alloc_vec_Vec_index_mut_back u32 usize + (core_slice_index_SliceIndexUsizeSliceTInst u32) v i 0 in + clear_loop v0 i1 else Return v (** [loops::clear]: merged forward/backward function - (there is a single backward function, and the forward function returns ()) *) -let clear_fwd_back (v : vec u32) : result (vec u32) = - clear_loop_fwd_back v 0 - -(** [loops::list_mem]: loop 0: forward function *) -let rec list_mem_loop_fwd + (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 - | ListCons y tl -> if y = x then Return true else list_mem_loop_fwd x tl - | ListNil -> Return false + | 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 *) -let list_mem_fwd (x : u32) (ls : list_t u32) : result bool = - list_mem_loop_fwd x ls +(** [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 *) -let rec list_nth_mut_loop_loop_fwd +(** [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 - | ListCons x tl -> + | List_Cons x tl -> if i = 0 then Return x - else let* i0 = u32_sub i 1 in list_nth_mut_loop_loop_fwd t tl i0 - | ListNil -> Fail Failure + 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 *) -let list_nth_mut_loop_fwd (t : Type0) (ls : list_t t) (i : u32) : result t = - list_nth_mut_loop_loop_fwd t ls i +(** [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 *) +(** [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 - | ListCons x tl -> + | List_Cons x tl -> if i = 0 - then Return (ListCons ret tl) + then Return (List_Cons ret tl) else let* i0 = u32_sub i 1 in let* tl0 = list_nth_mut_loop_loop_back t tl i0 ret in - Return (ListCons x tl0) - | ListNil -> Fail Failure + Return (List_Cons x tl0) + | List_Nil -> Fail Failure end -(** [loops::list_nth_mut_loop]: backward function 0 *) +(** [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 *) -let rec list_nth_shared_loop_loop_fwd +(** [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 - | ListCons x tl -> + | List_Cons x tl -> if i = 0 then Return x - else let* i0 = u32_sub i 1 in list_nth_shared_loop_loop_fwd t tl i0 - | ListNil -> Fail Failure + else let* i0 = u32_sub i 1 in list_nth_shared_loop_loop t tl i0 + | List_Nil -> Fail Failure end -(** [loops::list_nth_shared_loop]: forward function *) -let list_nth_shared_loop_fwd (t : Type0) (ls : list_t t) (i : u32) : result t = - list_nth_shared_loop_loop_fwd t ls i +(** [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 *) -let rec get_elem_mut_loop_fwd +(** [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 - | ListCons y tl -> if y = x then Return y else get_elem_mut_loop_fwd x tl - | ListNil -> Fail Failure + | 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 *) -let get_elem_mut_fwd (slots : vec (list_t usize)) (x : usize) : result usize = - let* l = vec_index_mut_fwd (list_t usize) slots 0 in - get_elem_mut_loop_fwd x l - -(** [loops::get_elem_mut]: loop 0: backward function 0 *) +(** [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 - | ListCons y tl -> + | List_Cons y tl -> if y = x - then Return (ListCons ret tl) - else let* tl0 = get_elem_mut_loop_back x tl ret in Return (ListCons y tl0) - | ListNil -> Fail Failure + then Return (List_Cons ret tl) + else let* tl0 = get_elem_mut_loop_back x tl ret in Return (List_Cons y tl0) + | List_Nil -> Fail Failure end -(** [loops::get_elem_mut]: backward function 0 *) +(** [loops::get_elem_mut]: backward function 0 + Source: 'src/loops.rs', lines 103:0-103:73 *) let get_elem_mut_back - (slots : vec (list_t usize)) (x : usize) (ret : usize) : - result (vec (list_t usize)) + (slots : alloc_vec_Vec (list_t usize)) (x : usize) (ret : usize) : + result (alloc_vec_Vec (list_t usize)) = - let* l = vec_index_mut_fwd (list_t usize) slots 0 in + let* l = + 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 - vec_index_mut_back (list_t usize) slots 0 l0 + alloc_vec_Vec_index_mut_back (list_t usize) usize + (core_slice_index_SliceIndexUsizeSliceTInst (list_t usize)) slots 0 l0 -(** [loops::get_elem_shared]: loop 0: forward function *) -let rec get_elem_shared_loop_fwd +(** [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 - | ListCons y tl -> if y = x then Return y else get_elem_shared_loop_fwd x tl - | ListNil -> Fail Failure + | 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 *) -let get_elem_shared_fwd - (slots : vec (list_t usize)) (x : usize) : result usize = - let* l = vec_index_fwd (list_t usize) slots 0 in get_elem_shared_loop_fwd x l - -(** [loops::id_mut]: forward function *) -let id_mut_fwd (t : Type0) (ls : list_t t) : result (list_t t) = +(** [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 *) +(** [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 *) -let id_shared_fwd (t : Type0) (ls : list_t t) : result (list_t t) = +(** [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 *) -let rec list_nth_mut_loop_with_id_loop_fwd +(** [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 - | ListCons x tl -> + | 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_fwd t i0 tl - | ListNil -> Fail Failure + 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 *) -let list_nth_mut_loop_with_id_fwd +(** [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_fwd t ls in list_nth_mut_loop_with_id_loop_fwd t i ls0 + 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 *) +(** [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 - | ListCons x tl -> + | List_Cons x tl -> if i = 0 - then Return (ListCons ret tl) + then Return (List_Cons ret tl) else let* i0 = u32_sub i 1 in let* tl0 = list_nth_mut_loop_with_id_loop_back t i0 tl ret in - Return (ListCons x tl0) - | ListNil -> Fail Failure + Return (List_Cons x tl0) + | List_Nil -> Fail Failure end -(** [loops::list_nth_mut_loop_with_id]: backward function 0 *) +(** [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* ls0 = id_mut_fwd t ls in + 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 -(** [loops::list_nth_shared_loop_with_id]: loop 0: forward function *) -let rec list_nth_shared_loop_with_id_loop_fwd +(** [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 - | ListCons x tl -> + | 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_fwd t i0 tl - | ListNil -> Fail Failure + else let* i0 = u32_sub i 1 in list_nth_shared_loop_with_id_loop t i0 tl + | List_Nil -> Fail Failure end -(** [loops::list_nth_shared_loop_with_id]: forward function *) -let list_nth_shared_loop_with_id_fwd +(** [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* ls0 = id_shared_fwd t ls in - list_nth_shared_loop_with_id_loop_fwd t i ls0 + let* ls0 = id_shared t ls in list_nth_shared_loop_with_id_loop t i ls0 -(** [loops::list_nth_mut_loop_pair]: loop 0: forward function *) -let rec list_nth_mut_loop_pair_loop_fwd +(** [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 - | ListCons x0 tl0 -> + | List_Cons x0 tl0 -> begin match ls1 with - | ListCons x1 tl1 -> + | 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_fwd t tl0 tl1 i0 - | ListNil -> Fail Failure + else let* i0 = u32_sub i 1 in list_nth_mut_loop_pair_loop t tl0 tl1 i0 + | List_Nil -> Fail Failure end - | ListNil -> Fail Failure + | List_Nil -> Fail Failure end -(** [loops::list_nth_mut_loop_pair]: forward function *) -let list_nth_mut_loop_pair_fwd +(** [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_fwd t ls0 ls1 i + list_nth_mut_loop_pair_loop t ls0 ls1 i -(** [loops::list_nth_mut_loop_pair]: loop 0: backward function 0 *) +(** [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 - | ListCons x0 tl0 -> + | List_Cons x0 tl0 -> begin match ls1 with - | ListCons x1 tl1 -> + | List_Cons x1 tl1 -> if i = 0 - then Return (ListCons ret tl0) + then Return (List_Cons ret tl0) 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 (ListCons x0 tl00) - | ListNil -> Fail Failure + Return (List_Cons x0 tl00) + | List_Nil -> Fail Failure end - | ListNil -> Fail Failure + | List_Nil -> Fail Failure end -(** [loops::list_nth_mut_loop_pair]: backward function 0 *) +(** [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 *) +(** [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 - | ListCons x0 tl0 -> + | List_Cons x0 tl0 -> begin match ls1 with - | ListCons x1 tl1 -> + | List_Cons x1 tl1 -> if i = 0 - then Return (ListCons ret tl1) + 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 (ListCons x1 tl10) - | ListNil -> Fail Failure + Return (List_Cons x1 tl10) + | List_Nil -> Fail Failure end - | ListNil -> Fail Failure + | List_Nil -> Fail Failure end -(** [loops::list_nth_mut_loop_pair]: backward function 1 *) +(** [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 *) -let rec list_nth_shared_loop_pair_loop_fwd +(** [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 - | ListCons x0 tl0 -> + | List_Cons x0 tl0 -> begin match ls1 with - | ListCons x1 tl1 -> + | 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_fwd t tl0 tl1 i0 - | ListNil -> Fail Failure + else let* i0 = u32_sub i 1 in list_nth_shared_loop_pair_loop t tl0 tl1 i0 + | List_Nil -> Fail Failure end - | ListNil -> Fail Failure + | List_Nil -> Fail Failure end -(** [loops::list_nth_shared_loop_pair]: forward function *) -let list_nth_shared_loop_pair_fwd +(** [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_fwd t ls0 ls1 i + list_nth_shared_loop_pair_loop t ls0 ls1 i -(** [loops::list_nth_mut_loop_pair_merge]: loop 0: forward function *) -let rec list_nth_mut_loop_pair_merge_loop_fwd +(** [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 - | ListCons x0 tl0 -> + | List_Cons x0 tl0 -> begin match ls1 with - | ListCons x1 tl1 -> + | List_Cons x1 tl1 -> if i = 0 then Return (x0, x1) else - let* i0 = u32_sub i 1 in - list_nth_mut_loop_pair_merge_loop_fwd t tl0 tl1 i0 - | ListNil -> Fail Failure + let* i0 = u32_sub i 1 in list_nth_mut_loop_pair_merge_loop t tl0 tl1 i0 + | List_Nil -> Fail Failure end - | ListNil -> Fail Failure + | List_Nil -> Fail Failure end -(** [loops::list_nth_mut_loop_pair_merge]: forward function *) -let list_nth_mut_loop_pair_merge_fwd +(** [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_fwd t ls0 ls1 i + list_nth_mut_loop_pair_merge_loop t ls0 ls1 i -(** [loops::list_nth_mut_loop_pair_merge]: loop 0: backward function 0 *) +(** [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 - | ListCons x0 tl0 -> + | List_Cons x0 tl0 -> begin match ls1 with - | ListCons x1 tl1 -> + | List_Cons x1 tl1 -> if i = 0 - then let (x, x2) = ret in Return (ListCons x tl0, ListCons x2 tl1) + 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 (ListCons x0 tl00, ListCons x1 tl10) - | ListNil -> Fail Failure + Return (List_Cons x0 tl00, List_Cons x1 tl10) + | List_Nil -> Fail Failure end - | ListNil -> Fail Failure + | List_Nil -> Fail Failure end -(** [loops::list_nth_mut_loop_pair_merge]: backward function 0 *) +(** [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 *) -let rec list_nth_shared_loop_pair_merge_loop_fwd +(** [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 - | ListCons x0 tl0 -> + | List_Cons x0 tl0 -> begin match ls1 with - | ListCons x1 tl1 -> + | List_Cons x1 tl1 -> if i = 0 then Return (x0, x1) else let* i0 = u32_sub i 1 in - list_nth_shared_loop_pair_merge_loop_fwd t tl0 tl1 i0 - | ListNil -> Fail Failure + list_nth_shared_loop_pair_merge_loop t tl0 tl1 i0 + | List_Nil -> Fail Failure end - | ListNil -> Fail Failure + | List_Nil -> Fail Failure end -(** [loops::list_nth_shared_loop_pair_merge]: forward function *) -let list_nth_shared_loop_pair_merge_fwd +(** [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_fwd t ls0 ls1 i + list_nth_shared_loop_pair_merge_loop t ls0 ls1 i -(** [loops::list_nth_mut_shared_loop_pair]: loop 0: forward function *) -let rec list_nth_mut_shared_loop_pair_loop_fwd +(** [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 - | ListCons x0 tl0 -> + | List_Cons x0 tl0 -> begin match ls1 with - | ListCons x1 tl1 -> + | List_Cons x1 tl1 -> if i = 0 then Return (x0, x1) else let* i0 = u32_sub i 1 in - list_nth_mut_shared_loop_pair_loop_fwd t tl0 tl1 i0 - | ListNil -> Fail Failure + list_nth_mut_shared_loop_pair_loop t tl0 tl1 i0 + | List_Nil -> Fail Failure end - | ListNil -> Fail Failure + | List_Nil -> Fail Failure end -(** [loops::list_nth_mut_shared_loop_pair]: forward function *) -let list_nth_mut_shared_loop_pair_fwd +(** [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_fwd t ls0 ls1 i + list_nth_mut_shared_loop_pair_loop t ls0 ls1 i -(** [loops::list_nth_mut_shared_loop_pair]: loop 0: backward function 0 *) +(** [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 - | ListCons x0 tl0 -> + | List_Cons x0 tl0 -> begin match ls1 with - | ListCons x1 tl1 -> + | List_Cons x1 tl1 -> if i = 0 - then Return (ListCons ret tl0) + 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 (ListCons x0 tl00) - | ListNil -> Fail Failure + Return (List_Cons x0 tl00) + | List_Nil -> Fail Failure end - | ListNil -> Fail Failure + | List_Nil -> Fail Failure end -(** [loops::list_nth_mut_shared_loop_pair]: backward function 0 *) +(** [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 *) -let rec list_nth_mut_shared_loop_pair_merge_loop_fwd +(** [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 - | ListCons x0 tl0 -> + | List_Cons x0 tl0 -> begin match ls1 with - | ListCons x1 tl1 -> + | List_Cons x1 tl1 -> if i = 0 then Return (x0, x1) else let* i0 = u32_sub i 1 in - list_nth_mut_shared_loop_pair_merge_loop_fwd t tl0 tl1 i0 - | ListNil -> Fail Failure + list_nth_mut_shared_loop_pair_merge_loop t tl0 tl1 i0 + | List_Nil -> Fail Failure end - | ListNil -> Fail Failure + | List_Nil -> Fail Failure end -(** [loops::list_nth_mut_shared_loop_pair_merge]: forward function *) -let list_nth_mut_shared_loop_pair_merge_fwd +(** [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_fwd t ls0 ls1 i + 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 *) +(** [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 - | ListCons x0 tl0 -> + | List_Cons x0 tl0 -> begin match ls1 with - | ListCons x1 tl1 -> + | List_Cons x1 tl1 -> if i = 0 - then Return (ListCons ret tl0) + 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 (ListCons x0 tl00) - | ListNil -> Fail Failure + Return (List_Cons x0 tl00) + | List_Nil -> Fail Failure end - | ListNil -> Fail Failure + | List_Nil -> Fail Failure end -(** [loops::list_nth_mut_shared_loop_pair_merge]: backward function 0 *) +(** [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 *) -let rec list_nth_shared_mut_loop_pair_loop_fwd +(** [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 - | ListCons x0 tl0 -> + | List_Cons x0 tl0 -> begin match ls1 with - | ListCons x1 tl1 -> + | List_Cons x1 tl1 -> if i = 0 then Return (x0, x1) else let* i0 = u32_sub i 1 in - list_nth_shared_mut_loop_pair_loop_fwd t tl0 tl1 i0 - | ListNil -> Fail Failure + list_nth_shared_mut_loop_pair_loop t tl0 tl1 i0 + | List_Nil -> Fail Failure end - | ListNil -> Fail Failure + | List_Nil -> Fail Failure end -(** [loops::list_nth_shared_mut_loop_pair]: forward function *) -let list_nth_shared_mut_loop_pair_fwd +(** [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_fwd t ls0 ls1 i + list_nth_shared_mut_loop_pair_loop t ls0 ls1 i -(** [loops::list_nth_shared_mut_loop_pair]: loop 0: backward function 1 *) +(** [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 - | ListCons x0 tl0 -> + | List_Cons x0 tl0 -> begin match ls1 with - | ListCons x1 tl1 -> + | List_Cons x1 tl1 -> if i = 0 - then Return (ListCons ret tl1) + 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 (ListCons x1 tl10) - | ListNil -> Fail Failure + Return (List_Cons x1 tl10) + | List_Nil -> Fail Failure end - | ListNil -> Fail Failure + | List_Nil -> Fail Failure end -(** [loops::list_nth_shared_mut_loop_pair]: backward function 1 *) +(** [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 *) -let rec list_nth_shared_mut_loop_pair_merge_loop_fwd +(** [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 - | ListCons x0 tl0 -> + | List_Cons x0 tl0 -> begin match ls1 with - | ListCons x1 tl1 -> + | List_Cons x1 tl1 -> if i = 0 then Return (x0, x1) else let* i0 = u32_sub i 1 in - list_nth_shared_mut_loop_pair_merge_loop_fwd t tl0 tl1 i0 - | ListNil -> Fail Failure + list_nth_shared_mut_loop_pair_merge_loop t tl0 tl1 i0 + | List_Nil -> Fail Failure end - | ListNil -> Fail Failure + | List_Nil -> Fail Failure end -(** [loops::list_nth_shared_mut_loop_pair_merge]: forward function *) -let list_nth_shared_mut_loop_pair_merge_fwd +(** [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_fwd t ls0 ls1 i + 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 *) +(** [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 - | ListCons x0 tl0 -> + | List_Cons x0 tl0 -> begin match ls1 with - | ListCons x1 tl1 -> + | List_Cons x1 tl1 -> if i = 0 - then Return (ListCons ret tl1) + 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 (ListCons x1 tl10) - | ListNil -> Fail Failure + Return (List_Cons x1 tl10) + | List_Nil -> Fail Failure end - | ListNil -> Fail Failure + | List_Nil -> Fail Failure end -(** [loops::list_nth_shared_mut_loop_pair_merge]: backward function 0 *) +(** [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) diff --git a/tests/fstar/misc/Loops.Types.fst b/tests/fstar/misc/Loops.Types.fst index 2e032fe7..8aa38290 100644 --- a/tests/fstar/misc/Loops.Types.fst +++ b/tests/fstar/misc/Loops.Types.fst @@ -5,8 +5,9 @@ open Primitives #set-options "--z3rlimit 50 --fuel 1 --ifuel 1" -(** [loops::List] *) +(** [loops::List] + Source: 'src/loops.rs', lines 60:0-60:16 *) type list_t (t : Type0) = -| ListCons : t -> list_t t -> list_t t -| ListNil : list_t t +| List_Cons : t -> list_t t -> list_t t +| List_Nil : list_t t diff --git a/tests/fstar/misc/NoNestedBorrows.fst b/tests/fstar/misc/NoNestedBorrows.fst index 2cdd6e21..130b02f2 100644 --- a/tests/fstar/misc/NoNestedBorrows.fst +++ b/tests/fstar/misc/NoNestedBorrows.fst @@ -5,96 +5,187 @@ open Primitives #set-options "--z3rlimit 50 --fuel 1 --ifuel 1" -(** [no_nested_borrows::Pair] *) -type pair_t (t1 t2 : Type0) = { pair_x : t1; pair_y : t2; } +(** [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] *) +(** [no_nested_borrows::List] + Source: 'src/no_nested_borrows.rs', lines 9:0-9:16 *) type list_t (t : Type0) = -| ListCons : t -> list_t t -> list_t t -| ListNil : list_t t +| List_Cons : t -> list_t t -> list_t t +| List_Nil : list_t t -(** [no_nested_borrows::One] *) -type one_t (t1 : Type0) = | OneOne : t1 -> one_t t1 +(** [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] *) -type empty_enum_t = | EmptyEnumEmpty : empty_enum_t +(** [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] *) -type enum_t = | EnumVariant1 : enum_t | EnumVariant2 : enum_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] *) -type empty_struct_t = unit +(** [no_nested_borrows::EmptyStruct] + Source: 'src/no_nested_borrows.rs', lines 39:0-39:22 *) +type emptyStruct_t = unit -(** [no_nested_borrows::Sum] *) +(** [no_nested_borrows::Sum] + Source: 'src/no_nested_borrows.rs', lines 41:0-41:20 *) type sum_t (t1 t2 : Type0) = -| SumLeft : t1 -> sum_t t1 t2 -| SumRight : t2 -> sum_t t1 t2 +| Sum_Left : t1 -> sum_t t1 t2 +| Sum_Right : t2 -> sum_t t1 t2 -(** [no_nested_borrows::neg_test]: forward function *) -let neg_test_fwd (x : i32) : result i32 = +(** [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_test]: forward function *) -let add_test_fwd (x : u32) (y : u32) : result u32 = +(** [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_test]: forward function *) -let subs_test_fwd (x : u32) (y : u32) : result u32 = +(** [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_test]: forward function *) -let div_test_fwd (x : u32) (y : u32) : result u32 = +(** [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_test1]: forward function *) -let div_test1_fwd (x : u32) : result u32 = +(** [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_test]: forward function *) -let rem_test_fwd (x : u32) (y : u32) : result u32 = +(** [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::cast_test]: forward function *) -let cast_test_fwd (x : u32) : result i32 = +(** [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* 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 + 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 + +(** [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_test]: forward function + Source: 'src/no_nested_borrows.rs', lines 128:0-128:31 *) +let cast_test (x : u32) : result i32 = scalar_cast U32 I32 x -(** [no_nested_borrows::test2]: forward function *) -let test2_fwd : result unit = +(** [no_nested_borrows::test2]: forward function + Source: 'src/no_nested_borrows.rs', lines 133:0-133:14 *) +let test2 : result unit = let* _ = u32_add 23 44 in Return () (** Unit test for [no_nested_borrows::test2] *) -let _ = assert_norm (test2_fwd = Return ()) +let _ = assert_norm (test2 = Return ()) -(** [no_nested_borrows::get_max]: forward function *) -let get_max_fwd (x : u32) (y : u32) : result u32 = +(** [no_nested_borrows::get_max]: forward function + Source: 'src/no_nested_borrows.rs', lines 145:0-145:37 *) +let get_max (x : u32) (y : u32) : result u32 = if x >= y then Return x else Return y -(** [no_nested_borrows::test3]: forward function *) -let test3_fwd : result unit = - let* x = get_max_fwd 4 3 in - let* y = get_max_fwd 10 11 in +(** [no_nested_borrows::test3]: forward function + Source: 'src/no_nested_borrows.rs', lines 153:0-153:14 *) +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_fwd = Return ()) +let _ = assert_norm (test3 = Return ()) -(** [no_nested_borrows::test_neg1]: forward function *) -let test_neg1_fwd : result unit = +(** [no_nested_borrows::test_neg1]: forward function + Source: 'src/no_nested_borrows.rs', lines 160:0-160:18 *) +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_fwd = Return ()) +let _ = assert_norm (test_neg1 = Return ()) -(** [no_nested_borrows::refs_test1]: forward function *) -let refs_test1_fwd : result unit = +(** [no_nested_borrows::refs_test1]: forward function + Source: 'src/no_nested_borrows.rs', lines 167:0-167:19 *) +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_fwd = Return ()) +let _ = assert_norm (refs_test1 = Return ()) -(** [no_nested_borrows::refs_test2]: forward function *) -let refs_test2_fwd : result unit = +(** [no_nested_borrows::refs_test2]: forward function + Source: 'src/no_nested_borrows.rs', lines 178:0-178:19 *) +let refs_test2 : result unit = if not (2 = 2) then Fail Failure else @@ -106,86 +197,102 @@ let refs_test2_fwd : result unit = else if not (2 = 2) then Fail Failure else Return () (** Unit test for [no_nested_borrows::refs_test2] *) -let _ = assert_norm (refs_test2_fwd = Return ()) +let _ = assert_norm (refs_test2 = Return ()) -(** [no_nested_borrows::test_list1]: forward function *) -let test_list1_fwd : result unit = +(** [no_nested_borrows::test_list1]: forward function + Source: 'src/no_nested_borrows.rs', lines 194:0-194:19 *) +let test_list1 : result unit = Return () (** Unit test for [no_nested_borrows::test_list1] *) -let _ = assert_norm (test_list1_fwd = Return ()) +let _ = assert_norm (test_list1 = Return ()) -(** [no_nested_borrows::test_box1]: forward function *) -let test_box1_fwd : result unit = - let b = 1 in let x = b in if not (x = 1) then Fail Failure else Return () +(** [no_nested_borrows::test_box1]: forward function + Source: 'src/no_nested_borrows.rs', lines 199:0-199:18 *) +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 + if not (x = 1) then Fail Failure else Return () (** Unit test for [no_nested_borrows::test_box1] *) -let _ = assert_norm (test_box1_fwd = Return ()) +let _ = assert_norm (test_box1 = Return ()) -(** [no_nested_borrows::copy_int]: forward function *) -let copy_int_fwd (x : i32) : result i32 = +(** [no_nested_borrows::copy_int]: forward function + Source: 'src/no_nested_borrows.rs', lines 209:0-209:30 *) +let copy_int (x : i32) : result i32 = Return x -(** [no_nested_borrows::test_unreachable]: forward function *) -let test_unreachable_fwd (b : bool) : result unit = +(** [no_nested_borrows::test_unreachable]: forward function + Source: 'src/no_nested_borrows.rs', lines 215:0-215:32 *) +let test_unreachable (b : bool) : result unit = if b then Fail Failure else Return () -(** [no_nested_borrows::test_panic]: forward function *) -let test_panic_fwd (b : bool) : result unit = +(** [no_nested_borrows::test_panic]: forward function + Source: 'src/no_nested_borrows.rs', lines 223:0-223:26 *) +let test_panic (b : bool) : result unit = if b then Fail Failure else Return () -(** [no_nested_borrows::test_copy_int]: forward function *) -let test_copy_int_fwd : result unit = - let* y = copy_int_fwd 0 in if not (0 = y) then Fail Failure else Return () +(** [no_nested_borrows::test_copy_int]: forward function + Source: 'src/no_nested_borrows.rs', lines 230:0-230:22 *) +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_fwd = Return ()) +let _ = assert_norm (test_copy_int = Return ()) -(** [no_nested_borrows::is_cons]: forward function *) -let is_cons_fwd (t : Type0) (l : list_t t) : result bool = +(** [no_nested_borrows::is_cons]: forward function + Source: 'src/no_nested_borrows.rs', lines 237:0-237:38 *) +let is_cons (t : Type0) (l : list_t t) : result bool = begin match l with - | ListCons x l0 -> Return true - | ListNil -> Return false + | List_Cons x l0 -> Return true + | List_Nil -> Return false end -(** [no_nested_borrows::test_is_cons]: forward function *) -let test_is_cons_fwd : result unit = - let l = ListNil in - let* b = is_cons_fwd i32 (ListCons 0 l) in +(** [no_nested_borrows::test_is_cons]: forward function + Source: 'src/no_nested_borrows.rs', lines 244:0-244:21 *) +let test_is_cons : result unit = + let l = List_Nil in + let* b = is_cons i32 (List_Cons 0 l) in if not b then Fail Failure else Return () (** Unit test for [no_nested_borrows::test_is_cons] *) -let _ = assert_norm (test_is_cons_fwd = Return ()) +let _ = assert_norm (test_is_cons = Return ()) -(** [no_nested_borrows::split_list]: forward function *) -let split_list_fwd (t : Type0) (l : list_t t) : result (t & (list_t t)) = +(** [no_nested_borrows::split_list]: forward function + Source: 'src/no_nested_borrows.rs', lines 250:0-250:48 *) +let split_list (t : Type0) (l : list_t t) : result (t & (list_t t)) = begin match l with - | ListCons hd tl -> Return (hd, tl) - | ListNil -> Fail Failure + | List_Cons hd tl -> Return (hd, tl) + | List_Nil -> Fail Failure end -(** [no_nested_borrows::test_split_list]: forward function *) -let test_split_list_fwd : result unit = - let l = ListNil in - let* p = split_list_fwd i32 (ListCons 0 l) in +(** [no_nested_borrows::test_split_list]: forward function + Source: 'src/no_nested_borrows.rs', lines 258:0-258:24 *) +let test_split_list : result unit = + let l = List_Nil in + let* p = split_list i32 (List_Cons 0 l) 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_fwd = Return ()) +let _ = assert_norm (test_split_list = Return ()) -(** [no_nested_borrows::choose]: forward function *) -let choose_fwd (t : Type0) (b : bool) (x : t) (y : t) : result t = +(** [no_nested_borrows::choose]: forward function + Source: 'src/no_nested_borrows.rs', lines 265:0-265:70 *) +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 *) +(** [no_nested_borrows::choose]: backward function 0 + Source: 'src/no_nested_borrows.rs', lines 265:0-265:70 *) 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 *) -let choose_test_fwd : result unit = - let* z = choose_fwd i32 true 0 0 in +(** [no_nested_borrows::choose_test]: forward function + Source: 'src/no_nested_borrows.rs', lines 273:0-273:20 *) +let choose_test : result unit = + let* z = choose i32 true 0 0 in let* z0 = i32_add z 1 in if not (z0 = 1) then Fail Failure @@ -196,235 +303,260 @@ let choose_test_fwd : result unit = else if not (y = 0) then Fail Failure else Return () (** Unit test for [no_nested_borrows::choose_test] *) -let _ = assert_norm (choose_test_fwd = Return ()) +let _ = assert_norm (choose_test = Return ()) -(** [no_nested_borrows::test_char]: forward function *) -let test_char_fwd : result char = +(** [no_nested_borrows::test_char]: forward function + Source: 'src/no_nested_borrows.rs', lines 285:0-285:26 *) +let test_char : result char = Return 'a' -(** [no_nested_borrows::Tree] *) +(** [no_nested_borrows::Tree] + Source: 'src/no_nested_borrows.rs', lines 290:0-290:16 *) type tree_t (t : Type0) = -| TreeLeaf : t -> tree_t t -| TreeNode : t -> node_elem_t t -> tree_t t -> tree_t t - -(** [no_nested_borrows::NodeElem] *) -and node_elem_t (t : Type0) = -| NodeElemCons : tree_t t -> node_elem_t t -> node_elem_t t -| NodeElemNil : node_elem_t t - -(** [no_nested_borrows::list_length]: forward function *) -let rec list_length_fwd (t : Type0) (l : list_t t) : result u32 = +| 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 295:0-295:20 *) +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 330:0-330:48 *) +let rec list_length (t : Type0) (l : list_t t) : result u32 = begin match l with - | ListCons x l1 -> let* i = list_length_fwd t l1 in u32_add 1 i - | ListNil -> Return 0 + | List_Cons x 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 *) -let rec list_nth_shared_fwd (t : Type0) (l : list_t t) (i : u32) : result t = +(** [no_nested_borrows::list_nth_shared]: forward function + Source: 'src/no_nested_borrows.rs', lines 338:0-338:62 *) +let rec list_nth_shared (t : Type0) (l : list_t t) (i : u32) : result t = begin match l with - | ListCons x tl -> + | List_Cons x tl -> if i = 0 then Return x - else let* i0 = u32_sub i 1 in list_nth_shared_fwd t tl i0 - | ListNil -> Fail Failure + 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 *) -let rec list_nth_mut_fwd (t : Type0) (l : list_t t) (i : u32) : result t = +(** [no_nested_borrows::list_nth_mut]: forward function + Source: 'src/no_nested_borrows.rs', lines 354:0-354:67 *) +let rec list_nth_mut (t : Type0) (l : list_t t) (i : u32) : result t = begin match l with - | ListCons x tl -> - if i = 0 - then Return x - else let* i0 = u32_sub i 1 in list_nth_mut_fwd t tl i0 - | ListNil -> Fail Failure + | 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 -(** [no_nested_borrows::list_nth_mut]: backward function 0 *) +(** [no_nested_borrows::list_nth_mut]: backward function 0 + Source: 'src/no_nested_borrows.rs', lines 354:0-354:67 *) let rec list_nth_mut_back (t : Type0) (l : list_t t) (i : u32) (ret : t) : result (list_t t) = begin match l with - | ListCons x tl -> + | List_Cons x tl -> if i = 0 - then Return (ListCons ret tl) + then Return (List_Cons ret tl) else let* i0 = u32_sub i 1 in let* tl0 = list_nth_mut_back t tl i0 ret in - Return (ListCons x tl0) - | ListNil -> Fail Failure + Return (List_Cons x tl0) + | List_Nil -> Fail Failure end -(** [no_nested_borrows::list_rev_aux]: forward function *) -let rec list_rev_aux_fwd +(** [no_nested_borrows::list_rev_aux]: forward function + Source: 'src/no_nested_borrows.rs', lines 370:0-370:63 *) +let rec list_rev_aux (t : Type0) (li : list_t t) (lo : list_t t) : result (list_t t) = begin match li with - | ListCons hd tl -> list_rev_aux_fwd t tl (ListCons hd lo) - | ListNil -> Return lo + | 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 ()) *) -let list_rev_fwd_back (t : Type0) (l : list_t t) : result (list_t t) = - let li = mem_replace_fwd (list_t t) l ListNil in - list_rev_aux_fwd t li ListNil - -(** [no_nested_borrows::test_list_functions]: forward function *) -let test_list_functions_fwd : result unit = - let l = ListNil in - let l0 = ListCons 2 l in - let l1 = ListCons 1 l0 in - let* i = list_length_fwd i32 (ListCons 0 l1) in + (there is a single backward function, and the forward function returns ()) + Source: 'src/no_nested_borrows.rs', lines 384:0-384:42 *) +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 389:0-389:28 *) +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* i = list_length i32 (List_Cons 0 l1) in if not (i = 3) then Fail Failure else - let* i0 = list_nth_shared_fwd i32 (ListCons 0 l1) 0 in + let* i0 = list_nth_shared i32 (List_Cons 0 l1) 0 in if not (i0 = 0) then Fail Failure else - let* i1 = list_nth_shared_fwd i32 (ListCons 0 l1) 1 in + let* i1 = list_nth_shared i32 (List_Cons 0 l1) 1 in if not (i1 = 1) then Fail Failure else - let* i2 = list_nth_shared_fwd i32 (ListCons 0 l1) 2 in + let* i2 = list_nth_shared i32 (List_Cons 0 l1) 2 in if not (i2 = 2) then Fail Failure else - let* ls = list_nth_mut_back i32 (ListCons 0 l1) 1 3 in - let* i3 = list_nth_shared_fwd i32 ls 0 in + 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) then Fail Failure else - let* i4 = list_nth_shared_fwd i32 ls 1 in + let* i4 = list_nth_shared i32 ls 1 in if not (i4 = 3) then Fail Failure else - let* i5 = list_nth_shared_fwd i32 ls 2 in + let* i5 = list_nth_shared i32 ls 2 in if not (i5 = 2) then Fail Failure else Return () (** Unit test for [no_nested_borrows::test_list_functions] *) -let _ = assert_norm (test_list_functions_fwd = Return ()) +let _ = assert_norm (test_list_functions = Return ()) -(** [no_nested_borrows::id_mut_pair1]: forward function *) -let id_mut_pair1_fwd (t1 t2 : Type0) (x : t1) (y : t2) : result (t1 & t2) = +(** [no_nested_borrows::id_mut_pair1]: forward function + Source: 'src/no_nested_borrows.rs', lines 405:0-405:89 *) +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 *) +(** [no_nested_borrows::id_mut_pair1]: backward function 0 + Source: 'src/no_nested_borrows.rs', lines 405:0-405:89 *) 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_pair2_fwd (t1 t2 : Type0) (p : (t1 & t2)) : result (t1 & t2) = +(** [no_nested_borrows::id_mut_pair2]: forward function + Source: 'src/no_nested_borrows.rs', lines 409:0-409:88 *) +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 *) +(** [no_nested_borrows::id_mut_pair2]: backward function 0 + Source: 'src/no_nested_borrows.rs', lines 409:0-409:88 *) 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_pair3_fwd (t1 t2 : Type0) (x : t1) (y : t2) : result (t1 & t2) = +(** [no_nested_borrows::id_mut_pair3]: forward function + Source: 'src/no_nested_borrows.rs', lines 413:0-413:93 *) +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 *) +(** [no_nested_borrows::id_mut_pair3]: backward function 0 + Source: 'src/no_nested_borrows.rs', lines 413:0-413:93 *) 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 *) +(** [no_nested_borrows::id_mut_pair3]: backward function 1 + Source: 'src/no_nested_borrows.rs', lines 413:0-413:93 *) 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 *) -let id_mut_pair4_fwd (t1 t2 : Type0) (p : (t1 & t2)) : result (t1 & t2) = +(** [no_nested_borrows::id_mut_pair4]: forward function + Source: 'src/no_nested_borrows.rs', lines 417:0-417:92 *) +let id_mut_pair4 (t1 t2 : Type0) (p : (t1 & t2)) : result (t1 & t2) = let (x, x0) = p in Return (x, x0) -(** [no_nested_borrows::id_mut_pair4]: backward function 0 *) +(** [no_nested_borrows::id_mut_pair4]: backward function 0 + Source: 'src/no_nested_borrows.rs', lines 417:0-417:92 *) 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 *) +(** [no_nested_borrows::id_mut_pair4]: backward function 1 + Source: 'src/no_nested_borrows.rs', lines 417:0-417:92 *) let id_mut_pair4_back'b (t1 t2 : Type0) (p : (t1 & t2)) (ret : t2) : result t2 = Return ret -(** [no_nested_borrows::StructWithTuple] *) -type struct_with_tuple_t (t1 t2 : Type0) = { struct_with_tuple_p : (t1 & t2); } - -(** [no_nested_borrows::new_tuple1]: forward function *) -let new_tuple1_fwd : result (struct_with_tuple_t u32 u32) = - Return { struct_with_tuple_p = (1, 2) } - -(** [no_nested_borrows::new_tuple2]: forward function *) -let new_tuple2_fwd : result (struct_with_tuple_t i16 i16) = - Return { struct_with_tuple_p = (1, 2) } - -(** [no_nested_borrows::new_tuple3]: forward function *) -let new_tuple3_fwd : result (struct_with_tuple_t u64 i64) = - Return { struct_with_tuple_p = (1, 2) } - -(** [no_nested_borrows::StructWithPair] *) -type struct_with_pair_t (t1 t2 : Type0) = -{ - struct_with_pair_p : pair_t t1 t2; -} - -(** [no_nested_borrows::new_pair1]: forward function *) -let new_pair1_fwd : result (struct_with_pair_t u32 u32) = - Return { struct_with_pair_p = { pair_x = 1; pair_y = 2 } } - -(** [no_nested_borrows::test_constants]: forward function *) -let test_constants_fwd : result unit = - let* swt = new_tuple1_fwd in - let (i, _) = swt.struct_with_tuple_p in +(** [no_nested_borrows::StructWithTuple] + Source: 'src/no_nested_borrows.rs', lines 424:0-424:34 *) +type structWithTuple_t (t1 t2 : Type0) = { p : (t1 & t2); } + +(** [no_nested_borrows::new_tuple1]: forward function + Source: 'src/no_nested_borrows.rs', lines 428:0-428:48 *) +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 432:0-432:48 *) +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 436:0-436:48 *) +let new_tuple3 : result (structWithTuple_t u64 i64) = + Return { p = (1, 2) } + +(** [no_nested_borrows::StructWithPair] + Source: 'src/no_nested_borrows.rs', lines 441:0-441:33 *) +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 445:0-445:46 *) +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 453:0-453:23 *) +let test_constants : result unit = + let* swt = new_tuple1 in + let (i, _) = swt.p in if not (i = 1) then Fail Failure else - let* swt0 = new_tuple2_fwd in - let (i0, _) = swt0.struct_with_tuple_p in + let* swt0 = new_tuple2 in + let (i0, _) = swt0.p in if not (i0 = 1) then Fail Failure else - let* swt1 = new_tuple3_fwd in - let (i1, _) = swt1.struct_with_tuple_p in + let* swt1 = new_tuple3 in + let (i1, _) = swt1.p in if not (i1 = 1) then Fail Failure else - let* swp = new_pair1_fwd in - if not (swp.struct_with_pair_p.pair_x = 1) - then Fail Failure - else Return () + 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_fwd = Return ()) +let _ = assert_norm (test_constants = Return ()) -(** [no_nested_borrows::test_weird_borrows1]: forward function *) -let test_weird_borrows1_fwd : result unit = +(** [no_nested_borrows::test_weird_borrows1]: forward function + Source: 'src/no_nested_borrows.rs', lines 462:0-462:28 *) +let test_weird_borrows1 : result unit = Return () (** Unit test for [no_nested_borrows::test_weird_borrows1] *) -let _ = assert_norm (test_weird_borrows1_fwd = Return ()) +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 ()) *) -let test_mem_replace_fwd_back (px : u32) : result u32 = - let y = mem_replace_fwd u32 px 1 in + (there is a single backward function, and the forward function returns ()) + Source: 'src/no_nested_borrows.rs', lines 472:0-472:37 *) +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 *) -let test_shared_borrow_bool1_fwd (b : bool) : result u32 = +(** [no_nested_borrows::test_shared_borrow_bool1]: forward function + Source: 'src/no_nested_borrows.rs', lines 479:0-479:47 *) +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 *) -let test_shared_borrow_bool2_fwd : result u32 = +(** [no_nested_borrows::test_shared_borrow_bool2]: forward function + Source: 'src/no_nested_borrows.rs', lines 492:0-492:40 *) +let test_shared_borrow_bool2 : result u32 = Return 0 -(** [no_nested_borrows::test_shared_borrow_enum1]: forward function *) -let test_shared_borrow_enum1_fwd (l : list_t u32) : result u32 = - begin match l with | ListCons i l0 -> Return 1 | ListNil -> Return 0 end +(** [no_nested_borrows::test_shared_borrow_enum1]: forward function + Source: 'src/no_nested_borrows.rs', lines 507:0-507:52 *) +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 -(** [no_nested_borrows::test_shared_borrow_enum2]: forward function *) -let test_shared_borrow_enum2_fwd : result u32 = +(** [no_nested_borrows::test_shared_borrow_enum2]: forward function + Source: 'src/no_nested_borrows.rs', lines 519:0-519:40 *) +let test_shared_borrow_enum2 : result u32 = Return 0 diff --git a/tests/fstar/misc/Paper.fst b/tests/fstar/misc/Paper.fst index e2d692c2..14bc59e8 100644 --- a/tests/fstar/misc/Paper.fst +++ b/tests/fstar/misc/Paper.fst @@ -6,30 +6,34 @@ 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 ()) *) -let ref_incr_fwd_back (x : i32) : result i32 = + (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 *) -let test_incr_fwd : result unit = - let* x = ref_incr_fwd_back 0 in - if not (x = 1) then Fail Failure else Return () +(** [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_fwd = Return ()) +let _ = assert_norm (test_incr = Return ()) -(** [paper::choose]: forward function *) -let choose_fwd (t : Type0) (b : bool) (x : t) (y : t) : result t = +(** [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 *) +(** [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 *) -let test_choose_fwd : result unit = - let* z = choose_fwd i32 true 0 0 in +(** [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* z0 = i32_add z 1 in if not (z0 = 1) then Fail Failure @@ -40,62 +44,66 @@ let test_choose_fwd : result unit = else if not (y = 0) then Fail Failure else Return () (** Unit test for [paper::test_choose] *) -let _ = assert_norm (test_choose_fwd = Return ()) +let _ = assert_norm (test_choose = Return ()) -(** [paper::List] *) +(** [paper::List] + Source: 'src/paper.rs', lines 35:0-35:16 *) type list_t (t : Type0) = -| ListCons : t -> list_t t -> list_t t -| ListNil : list_t t +| List_Cons : t -> list_t t -> list_t t +| List_Nil : list_t t -(** [paper::list_nth_mut]: forward function *) -let rec list_nth_mut_fwd (t : Type0) (l : list_t t) (i : u32) : result 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 - | ListCons x tl -> - if i = 0 - then Return x - else let* i0 = u32_sub i 1 in list_nth_mut_fwd t tl i0 - | ListNil -> Fail Failure + | 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]: 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 - | ListCons x tl -> + | List_Cons x tl -> if i = 0 - then Return (ListCons ret tl) + then Return (List_Cons ret tl) else let* i0 = u32_sub i 1 in let* tl0 = list_nth_mut_back t tl i0 ret in - Return (ListCons x tl0) - | ListNil -> Fail Failure + Return (List_Cons x tl0) + | List_Nil -> Fail Failure end -(** [paper::sum]: forward function *) -let rec sum_fwd (l : list_t i32) : result i32 = +(** [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 - | ListCons x tl -> let* i = sum_fwd tl in i32_add x i - | ListNil -> Return 0 + | List_Cons x tl -> let* i = sum tl in i32_add x i + | List_Nil -> Return 0 end -(** [paper::test_nth]: forward function *) -let test_nth_fwd : result unit = - let l = ListNil in - let l0 = ListCons 3 l in - let l1 = ListCons 2 l0 in - let* x = list_nth_mut_fwd i32 (ListCons 1 l1) 2 in +(** [paper::test_nth]: forward function + 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 (ListCons 1 l1) 2 x0 in - let* i = sum_fwd l2 in + let* l2 = list_nth_mut_back i32 (List_Cons 1 l1) 2 x0 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_fwd = Return ()) +let _ = assert_norm (test_nth = Return ()) -(** [paper::call_choose]: forward function *) -let call_choose_fwd (p : (u32 & u32)) : result u32 = +(** [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_fwd u32 true px py 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 diff --git a/tests/fstar/misc/PoloniusList.fst b/tests/fstar/misc/PoloniusList.fst index 79c86606..188b22d8 100644 --- a/tests/fstar/misc/PoloniusList.fst +++ b/tests/fstar/misc/PoloniusList.fst @@ -5,27 +5,30 @@ open Primitives #set-options "--z3rlimit 50 --fuel 1 --ifuel 1" -(** [polonius_list::List] *) +(** [polonius_list::List] + Source: 'src/polonius_list.rs', lines 3:0-3:16 *) type list_t (t : Type0) = -| ListCons : t -> list_t t -> list_t t -| ListNil : list_t t +| List_Cons : t -> list_t t -> list_t t +| List_Nil : list_t t -(** [polonius_list::get_list_at_x]: forward function *) -let rec get_list_at_x_fwd (ls : list_t u32) (x : u32) : result (list_t u32) = +(** [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 - | ListCons hd tl -> - if hd = x then Return (ListCons hd tl) else get_list_at_x_fwd tl x - | ListNil -> Return ListNil + | 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 *) +(** [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 - | ListCons hd tl -> + | List_Cons hd tl -> if hd = x then Return ret - else let* tl0 = get_list_at_x_back tl x ret in Return (ListCons hd tl0) - | ListNil -> Return ret + else let* tl0 = get_list_at_x_back tl x ret in Return (List_Cons hd tl0) + | List_Nil -> Return ret end diff --git a/tests/fstar/misc/Primitives.fst b/tests/fstar/misc/Primitives.fst index 9db82069..dd340c00 100644 --- a/tests/fstar/misc/Primitives.fst +++ b/tests/fstar/misc/Primitives.fst @@ -55,12 +55,20 @@ type string = string let is_zero (n: nat) : bool = n = 0 let decrease (n: nat{n > 0}) : nat = n - 1 -let mem_replace_fwd (a : Type0) (x : a) (y : a) : a = x -let mem_replace_back (a : Type0) (x : a) (y : a) : a = y +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 @@ -100,6 +108,10 @@ type scalar_ty = | 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 @@ -162,6 +174,100 @@ let scalar_sub (#ty : scalar_ty) (x : scalar ty) (y : scalar ty) : result (scala 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) = @@ -169,17 +275,44 @@ let scalar_cast (src_ty : scalar_ty) (tgt_ty : scalar_ty) (x : scalar src_ty) : /// 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 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 +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 @@ -231,7 +364,7 @@ let u32_add = scalar_add #U32 let u64_add = scalar_add #U64 let u128_add = scalar_add #U128 -/// Substraction +/// Subtraction let isize_sub = scalar_sub #Isize let i8_sub = scalar_sub #I8 let i16_sub = scalar_sub #I16 @@ -259,12 +392,128 @@ let u32_mul = scalar_mul #U32 let u64_mul = scalar_mul #U64 let u128_mul = scalar_mul #U128 -(*** Range *) -type range (a : Type0) = { +/// 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} @@ -278,15 +527,11 @@ let mk_array (a : Type0) (n : usize) normalize_term_spec (FStar.List.Tot.length l); l -let array_index_shared (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_index_mut_fwd (a : Type0) (n : usize) (x : array a n) (i : usize) : result a = +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_index_mut_back (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 @@ -295,55 +540,54 @@ 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_shared (a : Type0) (x : slice a) (i : usize) : result a = - if i < length x then Return (index x i) - else Fail Failure - -let slice_index_mut_fwd (a : Type0) (x : slice a) (i : usize) : result a = +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_index_mut_back (a : Type0) (x : slice a) (i : usize) (nx : a) : result (slice a) = +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_shared (a : Type0) (n : usize) (x : array a n) : result (slice a) = Return x -let array_to_slice_mut_fwd (a : Type0) (n : usize) (x : array a n) : result (slice a) = Return x -let array_to_slice_mut_back (a : Type0) (n : usize) (x : array a n) (s : slice a) : result (array a n) = +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_shared (a : Type0) (n : usize) (x : array a n) (r : range usize) : result (slice a) = +let array_subslice (a : Type0) (n : usize) (x : array a n) (r : core_ops_range_Range usize) : result (slice a) = admit() -let array_subslice_mut_fwd (a : Type0) (n : usize) (x : array a n) (r : range usize) : result (slice a) = +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_subslice_mut_back (a : Type0) (n : usize) (x : array a n) (r : range usize) (ns : slice a) : result (array a n) = +let array_repeat (a : Type0) (n : usize) (x : a) : array a n = admit() -let slice_subslice_shared (a : Type0) (x : slice a) (r : range usize) : result (slice a) = +let slice_subslice (a : Type0) (x : slice a) (r : core_ops_range_Range usize) : result (slice a) = admit() -let slice_subslice_mut_fwd (a : Type0) (x : slice a) (r : range usize) : result (slice a) = - admit() - -let slice_subslice_mut_back (a : Type0) (x : slice a) (r : range usize) (ns : slice a) : result (slice a) = +let slice_update_subslice (a : Type0) (x : slice a) (r : core_ops_range_Range usize) (ns : slice a) : result (slice a) = admit() (*** Vector *) -type vec (a : Type0) = v:list a{length v <= usize_max} +type alloc_vec_Vec (a : Type0) = v:list a{length v <= usize_max} -let vec_new (a : Type0) : vec a = assert_norm(length #a [] == 0); [] -let vec_len (a : Type0) (v : vec a) : usize = length v +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 vec_push_fwd (a : Type0) (v : vec a) (x : a) : unit = () -let vec_push_back (a : Type0) (v : vec a) (x : a) : - Pure (result (vec a)) +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 @@ -358,18 +602,279 @@ let vec_push_back (a : Type0) (v : vec a) (x : a) : else Fail Failure // The **forward** function shouldn't be used -let vec_insert_fwd (a : Type0) (v : vec a) (i : usize) (x : a) : result unit = +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 vec_insert_back (a : Type0) (v : vec a) (i : usize) (x : a) : result (vec a) = +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 -// The **backward** function shouldn't be used -let vec_index_fwd (a : Type0) (v : vec a) (i : usize) : result a = - if i < length v then Return (index v i) else Fail Failure -let vec_index_back (a : Type0) (v : vec a) (i : usize) (x : a) : result unit = - if i < length v then Return () 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; +} -let vec_index_mut_fwd (a : Type0) (v : vec a) (i : usize) : result a = - if i < length v then Return (index v i) else Fail Failure -let vec_index_mut_back (a : Type0) (v : vec a) (i : usize) (nx : a) : result (vec a) = - if i < length v then Return (list_update v i nx) else Fail Failure +// [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/traits/Makefile b/tests/fstar/traits/Makefile new file mode 100644 index 00000000..fa7d1f36 --- /dev/null +++ b/tests/fstar/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/traits/Primitives.fst b/tests/fstar/traits/Primitives.fst new file mode 100644 index 00000000..dd340c00 --- /dev/null +++ b/tests/fstar/traits/Primitives.fst @@ -0,0 +1,880 @@ +/// 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 + +/// 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/traits/Traits.fst b/tests/fstar/traits/Traits.fst new file mode 100644 index 00000000..8252aad4 --- /dev/null +++ b/tests/fstar/traits/Traits.fst @@ -0,0 +1,456 @@ +(** 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) (self0 : 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 x -> 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, x0) = self in + let* i = toU64AInst.to_u64 x in + let* i0 = toU64AInst.to_u64 x0 in + u64_add i i0 + +(** 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) = { _0 : t; } + +(** [traits::{traits::TestType<T>#6}::test::TestType1] + Source: 'src/traits.rs', lines 127:8-127:24 *) +type testType_test_TestType1_t = { _0 : 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._0 > 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* x0 = toU64TInst.to_u64 x in + if x0 > 0 then testType_test_TestType1_test { _0 = 0 } else Return false + +(** [traits::BoolWrapper] + Source: 'src/traits.rs', lines 150:0-150:22 *) +type boolWrapper_t = { _0 : 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._0 + +(** 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 + = + let i = withConstTyHLENInst.cLEN1 in Return i + +(** [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_child_trait1]: forward function + Source: 'src/traits.rs', lines 209:0-209:56 *) +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 *) +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 *) +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 222:0-222:35 *) +noeq type childTrait1_t (self : Type0) = { + parentTrait1SelfInst : parentTrait1_t self; +} + +(** Trait implementation: [traits::{usize#9}] + Source: 'src/traits.rs', lines 224:0-224:27 *) +let traits_ParentTrait1UsizeInst : parentTrait1_t usize = () + +(** Trait implementation: [traits::{usize#10}] + Source: 'src/traits.rs', lines 225:0-225:26 *) +let traits_ChildTrait1UsizeInst : childTrait1_t usize = { + parentTrait1SelfInst = traits_ParentTrait1UsizeInst; +} + +(** Trait declaration: [traits::Iterator] + Source: 'src/traits.rs', lines 229:0-229:18 *) +noeq type iterator_t (self : Type0) = { tItem : Type0; } + +(** Trait declaration: [traits::IntoIterator] + Source: 'src/traits.rs', lines 233:0-233:22 *) +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 250:0-250:21 *) +type fromResidual_t (self t : Type0) = unit + +(** Trait declaration: [traits::Try] + Source: 'src/traits.rs', lines 246:0-246:48 *) +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 *) +noeq type withTarget_t (self : Type0) = { tTarget : Type0; } + +(** Trait declaration: [traits::ParentTrait2] + Source: 'src/traits.rs', lines 256:0-256:22 *) +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 *) +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 264:0-264:23 *) +let traits_WithTargetU32Inst : withTarget_t u32 = { tTarget = u32; } + +(** Trait implementation: [traits::{u32#12}] + Source: 'src/traits.rs', lines 268:0-268:25 *) +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 *) +let u32_convert (x : u32) : result u32 = + Return x + +(** Trait implementation: [traits::{u32#13}] + Source: 'src/traits.rs', lines 272:0-272:24 *) +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 *) +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 *) +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; +} + +(** Trait declaration: [traits::CFn] + Source: 'src/traits.rs', lines 296:0-296:33 *) +noeq type cFn_t (self args : Type0) = { + cFnMutSelfArgsInst : cFnMut_t self args; + call_mut : self -> args -> result + cFnMutSelfArgsInst.cFnOnceSelfArgsInst.tOutput; +} + diff --git a/tests/hol4/betree/betreeMain_FunsScript.sml b/tests/hol4/betree/betreeMain_FunsScript.sml index 5e604f8c..bd16c16c 100644 --- a/tests/hol4/betree/betreeMain_FunsScript.sml +++ b/tests/hol4/betree/betreeMain_FunsScript.sml @@ -88,14 +88,6 @@ val betree_node_id_counter_fresh_id_back_def = Define ‘ od ’ -(** [core::num::u64::{9}::MAX] *) -Definition core_num_u64_max_body_def: - core_num_u64_max_body : u64 result = Return (int_to_u64 18446744073709551615) -End -Definition core_num_u64_max_c_def: - core_num_u64_max_c : u64 = get_return_value core_num_u64_max_body -End - val betree_upsert_update_fwd_def = Define ‘ (** [betree_main::betree::upsert_update]: forward function *) betree_upsert_update_fwd @@ -109,8 +101,8 @@ val betree_upsert_update_fwd_def = Define ‘ (case st of | BetreeUpsertFunStateAdd v => do - margin <- u64_sub core_num_u64_max_c prev0; - if u64_ge margin v then u64_add prev0 v else Return core_num_u64_max_c + margin <- u64_sub core_u64_max prev0; + if u64_ge margin v then u64_add prev0 v else Return core_u64_max od | BetreeUpsertFunStateSub v => if u64_ge prev0 v then u64_sub prev0 v else Return (int_to_u64 0))) diff --git a/tests/hol4/betree/betreeMain_FunsTheory.sig b/tests/hol4/betree/betreeMain_FunsTheory.sig index 6c249f70..c922ca9f 100644 --- a/tests/hol4/betree/betreeMain_FunsTheory.sig +++ b/tests/hol4/betree/betreeMain_FunsTheory.sig @@ -58,8 +58,6 @@ sig val betree_store_internal_node_fwd_def : thm val betree_store_leaf_node_fwd_def : thm val betree_upsert_update_fwd_def : thm - val core_num_u64_max_body_def : thm - val core_num_u64_max_c_def : thm val main_fwd_def : thm val betreeMain_Funs_grammars : type_grammar.grammar * term_grammar.grammar @@ -1215,22 +1213,14 @@ sig case st of BetreeUpsertFunStateAdd v => do - margin <- u64_sub core_num_u64_max_c prev0; + margin <- u64_sub core_u64_max prev0; if u64_ge margin v then u64_add prev0 v - else Return core_num_u64_max_c + else Return core_u64_max od | BetreeUpsertFunStateSub v' => if u64_ge prev0 v' then u64_sub prev0 v' else Return (int_to_u64 0) - [core_num_u64_max_body_def] Definition - - ⊢ core_num_u64_max_body = Return (int_to_u64 18446744073709551615) - - [core_num_u64_max_c_def] Definition - - ⊢ core_num_u64_max_c = get_return_value core_num_u64_max_body - [main_fwd_def] Definition ⊢ main_fwd = Return () diff --git a/tests/hol4/hashmap/hashmap_FunsScript.sml b/tests/hol4/hashmap/hashmap_FunsScript.sml index e3c3d2a5..682c5760 100644 --- a/tests/hol4/hashmap/hashmap_FunsScript.sml +++ b/tests/hol4/hashmap/hashmap_FunsScript.sml @@ -170,14 +170,6 @@ val hash_map_insert_no_resize_fwd_back_def = Define ‘ od ’ -(** [core::num::u32::{8}::MAX] *) -Definition core_num_u32_max_body_def: - core_num_u32_max_body : u32 result = Return (int_to_u32 4294967295) -End -Definition core_num_u32_max_c_def: - core_num_u32_max_c : u32 = get_return_value core_num_u32_max_body -End - val [hash_map_move_elements_from_list_loop_fwd_back_def] = DefineDiv ‘ (** [hashmap::HashMap::{0}::move_elements_from_list]: loop 0: merged forward/backward function (there is a single backward function, and the forward function returns ()) *) @@ -241,7 +233,7 @@ val hash_map_try_resize_fwd_back_def = Define ‘ (there is a single backward function, and the forward function returns ()) *) hash_map_try_resize_fwd_back (self : 't hash_map_t) : 't hash_map_t result = do - max_usize <- mk_usize (u32_to_int core_num_u32_max_c); + max_usize <- mk_usize (u32_to_int core_u32_max); let capacity = vec_len self.hash_map_slots in do n1 <- usize_div max_usize (int_to_usize 2); diff --git a/tests/hol4/hashmap/hashmap_FunsTheory.sig b/tests/hol4/hashmap/hashmap_FunsTheory.sig index 50482547..bb3e192b 100644 --- a/tests/hol4/hashmap/hashmap_FunsTheory.sig +++ b/tests/hol4/hashmap/hashmap_FunsTheory.sig @@ -3,8 +3,6 @@ sig type thm = Thm.thm (* Definitions *) - val core_num_u32_max_body_def : thm - val core_num_u32_max_c_def : thm val hash_key_fwd_def : thm val hash_map_allocate_slots_fwd_def : thm val hash_map_allocate_slots_loop_fwd_def : thm @@ -48,14 +46,6 @@ sig (* [hashmap_Types] Parent theory of "hashmap_Funs" - [core_num_u32_max_body_def] Definition - - ⊢ core_num_u32_max_body = Return (int_to_u32 4294967295) - - [core_num_u32_max_c_def] Definition - - ⊢ core_num_u32_max_c = get_return_value core_num_u32_max_body - [hash_key_fwd_def] Definition ⊢ ∀k. hash_key_fwd k = Return k @@ -472,7 +462,7 @@ sig ⊢ ∀self. hash_map_try_resize_fwd_back self = do - max_usize <- mk_usize (u32_to_int core_num_u32_max_c); + max_usize <- mk_usize (u32_to_int core_u32_max); capacity <<- vec_len self.hash_map_slots; n1 <- usize_div max_usize (int_to_usize 2); (i,i0) <<- self.hash_map_max_load_factor; diff --git a/tests/hol4/hashmap/hashmap_PropertiesScript.sml b/tests/hol4/hashmap/hashmap_PropertiesScript.sml index 7259f2f5..8bc12fa5 100644 --- a/tests/hol4/hashmap/hashmap_PropertiesScript.sml +++ b/tests/hol4/hashmap/hashmap_PropertiesScript.sml @@ -1296,7 +1296,7 @@ Proof rw [hash_map_try_resize_fwd_back_def] >> (* “_ <-- mk_usize (u32_to_int core_num_u32_max_c)” *) assume_tac usize_u32_bounds >> - fs [core_num_u32_max_c_def, core_num_u32_max_body_def, get_return_value_def, u32_max_def] >> + fs [core_u32_max_def, u32_max_def] >> massage >> fs [mk_usize_def, u32_max_def] >> (* / 2 *) progress >> diff --git a/tests/hol4/hashmap_on_disk/hashmapMain_FunsScript.sml b/tests/hol4/hashmap_on_disk/hashmapMain_FunsScript.sml index b21c4f58..c1e30aa6 100644 --- a/tests/hol4/hashmap_on_disk/hashmapMain_FunsScript.sml +++ b/tests/hol4/hashmap_on_disk/hashmapMain_FunsScript.sml @@ -193,14 +193,6 @@ val hashmap_hash_map_insert_no_resize_fwd_back_def = Define ‘ od ’ -(** [core::num::u32::{8}::MAX] *) -Definition core_num_u32_max_body_def: - core_num_u32_max_body : u32 result = Return (int_to_u32 4294967295) -End -Definition core_num_u32_max_c_def: - core_num_u32_max_c : u32 = get_return_value core_num_u32_max_body -End - val [hashmap_hash_map_move_elements_from_list_loop_fwd_back_def] = DefineDiv ‘ (** [hashmap_main::hashmap::HashMap::{0}::move_elements_from_list]: loop 0: merged forward/backward function (there is a single backward function, and the forward function returns ()) *) @@ -271,7 +263,7 @@ val hashmap_hash_map_try_resize_fwd_back_def = Define ‘ hashmap_hash_map_try_resize_fwd_back (self : 't hashmap_hash_map_t) : 't hashmap_hash_map_t result = do - max_usize <- mk_usize (u32_to_int core_num_u32_max_c); + max_usize <- mk_usize (u32_to_int core_u32_max); let capacity = vec_len self.hashmap_hash_map_slots in do n1 <- usize_div max_usize (int_to_usize 2); diff --git a/tests/hol4/hashmap_on_disk/hashmapMain_FunsTheory.sig b/tests/hol4/hashmap_on_disk/hashmapMain_FunsTheory.sig index 1d24cb26..d4e43d9a 100644 --- a/tests/hol4/hashmap_on_disk/hashmapMain_FunsTheory.sig +++ b/tests/hol4/hashmap_on_disk/hashmapMain_FunsTheory.sig @@ -3,8 +3,6 @@ sig type thm = Thm.thm (* Definitions *) - val core_num_u32_max_body_def : thm - val core_num_u32_max_c_def : thm val hashmap_hash_key_fwd_def : thm val hashmap_hash_map_allocate_slots_fwd_def : thm val hashmap_hash_map_allocate_slots_loop_fwd_def : thm @@ -50,14 +48,6 @@ sig (* [hashmapMain_Opaque] Parent theory of "hashmapMain_Funs" - [core_num_u32_max_body_def] Definition - - ⊢ core_num_u32_max_body = Return (int_to_u32 4294967295) - - [core_num_u32_max_c_def] Definition - - ⊢ core_num_u32_max_c = get_return_value core_num_u32_max_body - [hashmap_hash_key_fwd_def] Definition ⊢ ∀k. hashmap_hash_key_fwd k = Return k @@ -506,7 +496,7 @@ sig ⊢ ∀self. hashmap_hash_map_try_resize_fwd_back self = do - max_usize <- mk_usize (u32_to_int core_num_u32_max_c); + max_usize <- mk_usize (u32_to_int core_u32_max); capacity <<- vec_len self.hashmap_hash_map_slots; n1 <- usize_div max_usize (int_to_usize 2); (i,i0) <<- self.hashmap_hash_map_max_load_factor; diff --git a/tests/hol4/misc-constants/constantsScript.sml b/tests/hol4/misc-constants/constantsScript.sml index d589d348..40a319c6 100644 --- a/tests/hol4/misc-constants/constantsScript.sml +++ b/tests/hol4/misc-constants/constantsScript.sml @@ -13,17 +13,9 @@ Definition x0_c_def: x0_c : u32 = get_return_value x0_body End -(** [core::num::u32::{8}::MAX] *) -Definition core_num_u32_max_body_def: - core_num_u32_max_body : u32 result = Return (int_to_u32 4294967295) -End -Definition core_num_u32_max_c_def: - core_num_u32_max_c : u32 = get_return_value core_num_u32_max_body -End - (** [constants::X1] *) Definition x1_body_def: - x1_body : u32 result = Return core_num_u32_max_c + x1_body : u32 result = Return core_u32_max End Definition x1_c_def: x1_c : u32 = get_return_value x1_body diff --git a/tests/hol4/misc-constants/constantsTheory.sig b/tests/hol4/misc-constants/constantsTheory.sig index 149d7e22..287ad5f5 100644 --- a/tests/hol4/misc-constants/constantsTheory.sig +++ b/tests/hol4/misc-constants/constantsTheory.sig @@ -4,8 +4,6 @@ sig (* Definitions *) val add_fwd_def : thm - val core_num_u32_max_body_def : thm - val core_num_u32_max_c_def : thm val get_z1_fwd_def : thm val get_z1_z1_body_def : thm val get_z1_z1_c_def : thm @@ -110,14 +108,6 @@ sig ⊢ ∀a b. add_fwd a b = i32_add a b - [core_num_u32_max_body_def] Definition - - ⊢ core_num_u32_max_body = Return (int_to_u32 4294967295) - - [core_num_u32_max_c_def] Definition - - ⊢ core_num_u32_max_c = get_return_value core_num_u32_max_body - [get_z1_fwd_def] Definition ⊢ get_z1_fwd = Return get_z1_z1_c @@ -321,7 +311,7 @@ sig [x1_body_def] Definition - ⊢ x1_body = Return core_num_u32_max_c + ⊢ x1_body = Return core_u32_max [x1_c_def] Definition diff --git a/tests/lean/Array.lean b/tests/lean/Array.lean index 277b63d9..25dad3cf 100644 --- a/tests/lean/Array.lean +++ b/tests/lean/Array.lean @@ -1 +1,509 @@ -import Array.Funs +-- THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS +-- [array] +import Base +open Primitives + +namespace array + +/- [array::AB] + Source: 'src/array.rs', lines 3:0-3:11 -/ +inductive AB := +| A : AB +| B : AB + +/- [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 -/ +def incr (x : U32) : Result U32 := + x + 1#u32 + +/- [array::array_to_shared_slice_]: forward function + 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 + 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) + := + Array.from_slice T 32#usize s ret + +/- [array::array_len]: forward function + 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 + +/- [array::shared_array_len]: forward function + 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 + +/- [array::shared_slice_len]: forward function + 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 + 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 + 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 + 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 + 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) + := + Array.update_usize T 32#usize s i ret + +/- [array::index_slice]: forward function + 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 + 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 + +/- [array::slice_subslice_shared_]: forward function + Source: 'src/array.rs', lines 64:0-64:70 -/ +def 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 -/ +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) + := + 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 -/ +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 + 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 + +/- [array::array_subslice_shared_]: forward function + 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) := + core.array.Array.index U32 (core.ops.range.Range Usize) 32#usize + (core.ops.index.IndexSliceTIInst U32 (core.ops.range.Range Usize) + (core.slice.index.SliceIndexRangeUsizeSliceTInst U32)) x + { start := y, end_ := z } + +/- [array::array_subslice_mut_]: forward function + 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) + := + 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 + 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 + 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 + 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 + +/- [array::update_update_array]: forward function + 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 () + +/- [array::array_local_deep_copy]: forward function + 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 + 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 + 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 + 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 ()) + 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 + 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 + 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 () + +/- [array::take_all]: forward function + 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 + 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 + 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 + 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 + 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) := + do + let _ ← Slice.index_usize U32 x 0#usize + Result.ret x + +/- [array::index_all]: forward function + 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 + 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 () + +/- [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 -/ +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 + +/- [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 -/ +def update_mut_slice (x : Slice U32) : Result (Slice U32) := + Slice.update_usize U32 x 0#usize 1#u32 + +/- [array::update_all]: forward function + Source: 'src/array.rs', lines 194:0-194:19 -/ +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 + 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 + 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 + 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) := + do + let _ ← Array.index_usize U32 2#usize x 0#usize + Result.ret x + +/- [array::take_array_t]: forward function + 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 + 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 () + +/- [array::sum]: loop 0: forward function + 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 + 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 + +/- [array::sum]: forward function + 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 + 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 + 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 + 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) + then Result.fail .panic + else sum2_loop s s2 0#u32 0#usize + +/- [array::f0]: forward function + 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 + 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 () + +/- [array::f2]: forward function + Source: 'src/array.rs', lines 273:0-273:17 -/ +def f2 (i : U32) : Result Unit := + Result.ret () + +/- [array::f4]: forward function + 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 + (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 -/ +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 + +/- [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 + 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 + 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 () + +end array diff --git a/tests/lean/Array/Funs.lean b/tests/lean/Array/Funs.lean index ad737dca..32ae6248 100644 --- a/tests/lean/Array/Funs.lean +++ b/tests/lean/Array/Funs.lean @@ -6,189 +6,183 @@ open Primitives namespace array +/- [array::incr]: merged forward/backward function + (there is a single backward function, and the forward function returns ()) -/ +def incr (x : U32) : Result U32 := + x + 1#u32 + /- [array::array_to_shared_slice_]: forward function -/ def array_to_shared_slice_ - (T0 : Type) (s : Array T0 (Usize.ofInt 32)) : Result (Slice T0) := - Array.to_slice_shared T0 (Usize.ofInt 32) s + (T : Type) (s : Array T 32#usize) : Result (Slice T) := + Array.to_slice T 32#usize s /- [array::array_to_mut_slice_]: forward function -/ -def array_to_mut_slice_ - (T0 : Type) (s : Array T0 (Usize.ofInt 32)) : Result (Slice T0) := - Array.to_slice_mut T0 (Usize.ofInt 32) s +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 -/ def array_to_mut_slice__back - (T0 : Type) (s : Array T0 (Usize.ofInt 32)) (ret0 : Slice T0) : - Result (Array T0 (Usize.ofInt 32)) + (T : Type) (s : Array T 32#usize) (ret0 : Slice T) : + Result (Array T 32#usize) := - Array.to_slice_mut_back T0 (Usize.ofInt 32) s ret0 + Array.from_slice T 32#usize s ret0 /- [array::array_len]: forward function -/ -def array_len (T0 : Type) (s : Array T0 (Usize.ofInt 32)) : Result Usize := +def array_len (T : Type) (s : Array T 32#usize) : Result Usize := do - let s0 ← Array.to_slice_shared T0 (Usize.ofInt 32) s - let i := Slice.len T0 s0 + let s0 ← Array.to_slice T 32#usize s + let i := Slice.len T s0 Result.ret i /- [array::shared_array_len]: forward function -/ -def shared_array_len - (T0 : Type) (s : Array T0 (Usize.ofInt 32)) : Result Usize := +def shared_array_len (T : Type) (s : Array T 32#usize) : Result Usize := do - let s0 ← Array.to_slice_shared T0 (Usize.ofInt 32) s - let i := Slice.len T0 s0 + let s0 ← Array.to_slice T 32#usize s + let i := Slice.len T s0 Result.ret i /- [array::shared_slice_len]: forward function -/ -def shared_slice_len (T0 : Type) (s : Slice T0) : Result Usize := - let i := Slice.len T0 s +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 -/ def index_array_shared - (T0 : Type) (s : Array T0 (Usize.ofInt 32)) (i : Usize) : Result T0 := - Array.index_shared T0 (Usize.ofInt 32) s i + (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 -/ -def index_array_u32 - (s : Array U32 (Usize.ofInt 32)) (i : Usize) : Result U32 := - Array.index_shared U32 (Usize.ofInt 32) s i - -/- [array::index_array_generic]: forward function -/ -def index_array_generic - (N : Usize) (s : Array U32 N) (i : Usize) : Result U32 := - Array.index_shared U32 N s i - -/- [array::index_array_generic_call]: forward function -/ -def index_array_generic_call - (N : Usize) (s : Array U32 N) (i : Usize) : Result U32 := - index_array_generic N s i +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 -/ -def index_array_copy (x : Array U32 (Usize.ofInt 32)) : Result U32 := - Array.index_shared U32 (Usize.ofInt 32) x (Usize.ofInt 0) +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 -/ -def index_mut_array - (T0 : Type) (s : Array T0 (Usize.ofInt 32)) (i : Usize) : Result T0 := - Array.index_mut T0 (Usize.ofInt 32) s i +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 -/ def index_mut_array_back - (T0 : Type) (s : Array T0 (Usize.ofInt 32)) (i : Usize) (ret0 : T0) : - Result (Array T0 (Usize.ofInt 32)) + (T : Type) (s : Array T 32#usize) (i : Usize) (ret0 : T) : + Result (Array T 32#usize) := - Array.index_mut_back T0 (Usize.ofInt 32) s i ret0 + Array.update_usize T 32#usize s i ret0 /- [array::index_slice]: forward function -/ -def index_slice (T0 : Type) (s : Slice T0) (i : Usize) : Result T0 := - Slice.index_shared T0 s i +def index_slice (T : Type) (s : Slice T) (i : Usize) : Result T := + Slice.index_usize T s i /- [array::index_mut_slice]: forward function -/ -def index_mut_slice (T0 : Type) (s : Slice T0) (i : Usize) : Result T0 := - Slice.index_mut T0 s i +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 -/ def index_mut_slice_back - (T0 : Type) (s : Slice T0) (i : Usize) (ret0 : T0) : Result (Slice T0) := - Slice.index_mut_back T0 s i ret0 + (T : Type) (s : Slice T) (i : Usize) (ret0 : T) : Result (Slice T) := + Slice.update_usize T s i ret0 /- [array::slice_subslice_shared_]: forward function -/ def slice_subslice_shared_ (x : Slice U32) (y : Usize) (z : Usize) : Result (Slice U32) := - Slice.subslice_shared U32 x (Range.mk y z) + core.slice.index.Slice.index U32 (core.ops.range.Range Usize) + (core.slice.index.Range.coresliceindexSliceIndexInst U32) x + { start := y, end_ := z } /- [array::slice_subslice_mut_]: forward function -/ def slice_subslice_mut_ (x : Slice U32) (y : Usize) (z : Usize) : Result (Slice U32) := - Slice.subslice_mut U32 x (Range.mk y z) + core.slice.index.Slice.index_mut U32 (core.ops.range.Range Usize) + (core.slice.index.Range.coresliceindexSliceIndexInst U32) x + { start := y, end_ := z } /- [array::slice_subslice_mut_]: backward function 0 -/ def slice_subslice_mut__back (x : Slice U32) (y : Usize) (z : Usize) (ret0 : Slice U32) : Result (Slice U32) := - Slice.subslice_mut_back U32 x (Range.mk y z) ret0 + core.slice.index.Slice.index_mut_back U32 (core.ops.range.Range Usize) + (core.slice.index.Range.coresliceindexSliceIndexInst U32) x + { start := y, end_ := z } ret0 /- [array::array_to_slice_shared_]: forward function -/ -def array_to_slice_shared_ - (x : Array U32 (Usize.ofInt 32)) : Result (Slice U32) := - Array.to_slice_shared U32 (Usize.ofInt 32) x +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 -/ -def array_to_slice_mut_ - (x : Array U32 (Usize.ofInt 32)) : Result (Slice U32) := - Array.to_slice_mut U32 (Usize.ofInt 32) x +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 -/ def array_to_slice_mut__back - (x : Array U32 (Usize.ofInt 32)) (ret0 : Slice U32) : - Result (Array U32 (Usize.ofInt 32)) - := - Array.to_slice_mut_back U32 (Usize.ofInt 32) x ret0 + (x : Array U32 32#usize) (ret0 : Slice U32) : Result (Array U32 32#usize) := + Array.from_slice U32 32#usize x ret0 /- [array::array_subslice_shared_]: forward function -/ def array_subslice_shared_ - (x : Array U32 (Usize.ofInt 32)) (y : Usize) (z : Usize) : - Result (Slice U32) - := - Array.subslice_shared U32 (Usize.ofInt 32) x (Range.mk y z) + (x : Array U32 32#usize) (y : Usize) (z : Usize) : Result (Slice U32) := + core.array.Array.index U32 (core.ops.range.Range Usize) 32#usize + (core.slice.index.Slice.coreopsindexIndexInst U32 (core.ops.range.Range + Usize) (core.slice.index.Range.coresliceindexSliceIndexInst U32)) x + { start := y, end_ := z } /- [array::array_subslice_mut_]: forward function -/ def array_subslice_mut_ - (x : Array U32 (Usize.ofInt 32)) (y : Usize) (z : Usize) : - Result (Slice U32) - := - Array.subslice_mut U32 (Usize.ofInt 32) x (Range.mk y z) + (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.slice.index.Slice.coreopsindexIndexMutInst U32 (core.ops.range.Range + Usize) (core.slice.index.Range.coresliceindexSliceIndexInst U32)) x + { start := y, end_ := z } /- [array::array_subslice_mut_]: backward function 0 -/ def array_subslice_mut__back - (x : Array U32 (Usize.ofInt 32)) (y : Usize) (z : Usize) (ret0 : Slice U32) : - Result (Array U32 (Usize.ofInt 32)) + (x : Array U32 32#usize) (y : Usize) (z : Usize) (ret0 : Slice U32) : + Result (Array U32 32#usize) := - Array.subslice_mut_back U32 (Usize.ofInt 32) x (Range.mk y z) ret0 + core.array.Array.index_mut_back U32 (core.ops.range.Range Usize) 32#usize + (core.slice.index.Slice.coreopsindexIndexMutInst U32 (core.ops.range.Range + Usize) (core.slice.index.Range.coresliceindexSliceIndexInst U32)) x + { start := y, end_ := z } ret0 /- [array::index_slice_0]: forward function -/ -def index_slice_0 (T0 : Type) (s : Slice T0) : Result T0 := - Slice.index_shared T0 s (Usize.ofInt 0) +def index_slice_0 (T : Type) (s : Slice T) : Result T := + Slice.index_usize T s 0#usize /- [array::index_array_0]: forward function -/ -def index_array_0 (T0 : Type) (s : Array T0 (Usize.ofInt 32)) : Result T0 := - Array.index_shared T0 (Usize.ofInt 32) s (Usize.ofInt 0) +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 -/ def index_index_array - (s : Array (Array U32 (Usize.ofInt 32)) (Usize.ofInt 32)) (i : Usize) - (j : Usize) : + (s : Array (Array U32 32#usize) 32#usize) (i : Usize) (j : Usize) : Result U32 := do - let a ← - Array.index_shared (Array U32 (Usize.ofInt 32)) (Usize.ofInt 32) s i - Array.index_shared U32 (Usize.ofInt 32) 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 -/ def update_update_array - (s : Array (Array U32 (Usize.ofInt 32)) (Usize.ofInt 32)) (i : Usize) - (j : Usize) : + (s : Array (Array U32 32#usize) 32#usize) (i : Usize) (j : Usize) : Result Unit := do - let a ← Array.index_mut (Array U32 (Usize.ofInt 32)) (Usize.ofInt 32) s i - let a0 ← Array.index_mut_back U32 (Usize.ofInt 32) a j (U32.ofInt 0) - let _ ← - Array.index_mut_back (Array U32 (Usize.ofInt 32)) (Usize.ofInt 32) s i a0 + 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 () /- [array::array_local_deep_copy]: forward function -/ -def array_local_deep_copy (x : Array U32 (Usize.ofInt 32)) : Result Unit := +def array_local_deep_copy (x : Array U32 32#usize) : Result Unit := Result.ret () /- [array::take_array]: forward function -/ -def take_array (a : Array U32 (Usize.ofInt 2)) : Result Unit := +def take_array (a : Array U32 2#usize) : Result Unit := Result.ret () /- [array::take_array_borrow]: forward function -/ -def take_array_borrow (a : Array U32 (Usize.ofInt 2)) : Result Unit := +def take_array_borrow (a : Array U32 2#usize) : Result Unit := Result.ret () /- [array::take_slice]: forward function -/ @@ -203,148 +197,131 @@ def take_mut_slice (s : Slice U32) : Result (Slice U32) := /- [array::take_all]: forward function -/ def take_all : Result Unit := do - let _ ← - take_array - (Array.make U32 (Usize.ofInt 2) [ (U32.ofInt 0), (U32.ofInt 0) ]) - let _ ← - take_array_borrow - (Array.make U32 (Usize.ofInt 2) [ (U32.ofInt 0), (U32.ofInt 0) ]) + 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_shared U32 (Usize.ofInt 2) - (Array.make U32 (Usize.ofInt 2) [ (U32.ofInt 0), (U32.ofInt 0) ]) + Array.to_slice U32 2#usize (Array.make U32 2#usize [ 0#u32, 0#u32 ]) let _ ← take_slice s let s0 ← - Array.to_slice_mut U32 (Usize.ofInt 2) - (Array.make U32 (Usize.ofInt 2) [ (U32.ofInt 0), (U32.ofInt 0) ]) + Array.to_slice U32 2#usize (Array.make U32 2#usize [ 0#u32, 0#u32 ]) let s1 ← take_mut_slice s0 let _ ← - Array.to_slice_mut_back U32 (Usize.ofInt 2) - (Array.make U32 (Usize.ofInt 2) [ (U32.ofInt 0), (U32.ofInt 0) ]) s1 + Array.from_slice U32 2#usize (Array.make U32 2#usize [ 0#u32, 0#u32 ]) s1 Result.ret () /- [array::index_array]: forward function -/ -def index_array (x : Array U32 (Usize.ofInt 2)) : Result U32 := - Array.index_shared U32 (Usize.ofInt 2) x (Usize.ofInt 0) +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 -/ -def index_array_borrow (x : Array U32 (Usize.ofInt 2)) : Result U32 := - Array.index_shared U32 (Usize.ofInt 2) x (Usize.ofInt 0) +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 -/ def index_slice_u32_0 (x : Slice U32) : Result U32 := - Slice.index_shared U32 x (Usize.ofInt 0) + Slice.index_usize U32 x 0#usize /- [array::index_mut_slice_u32_0]: forward function -/ def index_mut_slice_u32_0 (x : Slice U32) : Result U32 := - Slice.index_shared U32 x (Usize.ofInt 0) + Slice.index_usize U32 x 0#usize /- [array::index_mut_slice_u32_0]: backward function 0 -/ def index_mut_slice_u32_0_back (x : Slice U32) : Result (Slice U32) := do - let _ ← Slice.index_shared U32 x (Usize.ofInt 0) + let _ ← Slice.index_usize U32 x 0#usize Result.ret x /- [array::index_all]: forward function -/ def index_all : Result U32 := do - let i ← - index_array - (Array.make U32 (Usize.ofInt 2) [ (U32.ofInt 0), (U32.ofInt 0) ]) - let i0 ← - index_array - (Array.make U32 (Usize.ofInt 2) [ (U32.ofInt 0), (U32.ofInt 0) ]) + 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 (Usize.ofInt 2) [ (U32.ofInt 0), (U32.ofInt 0) ]) + let i2 ← index_array_borrow (Array.make U32 2#usize [ 0#u32, 0#u32 ]) let i3 ← i1 + i2 let s ← - Array.to_slice_shared U32 (Usize.ofInt 2) - (Array.make U32 (Usize.ofInt 2) [ (U32.ofInt 0), (U32.ofInt 0) ]) + 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_mut U32 (Usize.ofInt 2) - (Array.make U32 (Usize.ofInt 2) [ (U32.ofInt 0), (U32.ofInt 0) ]) + 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.to_slice_mut_back U32 (Usize.ofInt 2) - (Array.make U32 (Usize.ofInt 2) [ (U32.ofInt 0), (U32.ofInt 0) ]) s1 + Array.from_slice U32 2#usize (Array.make U32 2#usize [ 0#u32, 0#u32 ]) s1 Result.ret i7 /- [array::update_array]: forward function -/ -def update_array (x : Array U32 (Usize.ofInt 2)) : Result Unit := +def update_array (x : Array U32 2#usize) : Result Unit := do - let _ ← - Array.index_mut_back U32 (Usize.ofInt 2) x (Usize.ofInt 0) (U32.ofInt 1) + let _ ← Array.update_usize U32 2#usize x 0#usize 1#u32 Result.ret () /- [array::update_array_mut_borrow]: merged forward/backward function (there is a single backward function, and the forward function returns ()) -/ def update_array_mut_borrow - (x : Array U32 (Usize.ofInt 2)) : Result (Array U32 (Usize.ofInt 2)) := - Array.index_mut_back U32 (Usize.ofInt 2) x (Usize.ofInt 0) (U32.ofInt 1) + (x : Array U32 2#usize) : Result (Array U32 2#usize) := + Array.update_usize U32 2#usize x 0#usize 1#u32 /- [array::update_mut_slice]: merged forward/backward function (there is a single backward function, and the forward function returns ()) -/ def update_mut_slice (x : Slice U32) : Result (Slice U32) := - Slice.index_mut_back U32 x (Usize.ofInt 0) (U32.ofInt 1) + Slice.update_usize U32 x 0#usize 1#u32 /- [array::update_all]: forward function -/ def update_all : Result Unit := do - let _ ← - update_array - (Array.make U32 (Usize.ofInt 2) [ (U32.ofInt 0), (U32.ofInt 0) ]) - let x ← - update_array_mut_borrow - (Array.make U32 (Usize.ofInt 2) [ (U32.ofInt 0), (U32.ofInt 0) ]) - let s ← Array.to_slice_mut U32 (Usize.ofInt 2) x + 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.to_slice_mut_back U32 (Usize.ofInt 2) x s0 + let _ ← Array.from_slice U32 2#usize x s0 Result.ret () /- [array::range_all]: forward function -/ def range_all : Result Unit := do let s ← - Array.subslice_mut U32 (Usize.ofInt 4) - (Array.make U32 (Usize.ofInt 4) [ - (U32.ofInt 0), (U32.ofInt 0), (U32.ofInt 0), (U32.ofInt 0) - ]) (Range.mk (Usize.ofInt 1) (Usize.ofInt 3)) + core.array.Array.index_mut U32 (core.ops.range.Range Usize) 4#usize + (core.slice.index.Slice.coreopsindexIndexMutInst U32 + (core.ops.range.Range Usize) + (core.slice.index.Range.coresliceindexSliceIndexInst 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 _ ← - Array.subslice_mut_back U32 (Usize.ofInt 4) - (Array.make U32 (Usize.ofInt 4) [ - (U32.ofInt 0), (U32.ofInt 0), (U32.ofInt 0), (U32.ofInt 0) - ]) (Range.mk (Usize.ofInt 1) (Usize.ofInt 3)) s0 + core.array.Array.index_mut_back U32 (core.ops.range.Range Usize) 4#usize + (core.slice.index.Slice.coreopsindexIndexMutInst U32 + (core.ops.range.Range Usize) + (core.slice.index.Range.coresliceindexSliceIndexInst 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 -/ -def deref_array_borrow (x : Array U32 (Usize.ofInt 2)) : Result U32 := - Array.index_shared U32 (Usize.ofInt 2) x (Usize.ofInt 0) +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 -/ -def deref_array_mut_borrow (x : Array U32 (Usize.ofInt 2)) : Result U32 := - Array.index_shared U32 (Usize.ofInt 2) x (Usize.ofInt 0) +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 -/ def deref_array_mut_borrow_back - (x : Array U32 (Usize.ofInt 2)) : Result (Array U32 (Usize.ofInt 2)) := + (x : Array U32 2#usize) : Result (Array U32 2#usize) := do - let _ ← Array.index_shared U32 (Usize.ofInt 2) x (Usize.ofInt 0) + let _ ← Array.index_usize U32 2#usize x 0#usize Result.ret x /- [array::take_array_t]: forward function -/ -def take_array_t (a : Array T (Usize.ofInt 2)) : Result Unit := +def take_array_t (a : Array AB 2#usize) : Result Unit := Result.ret () /- [array::non_copyable_array]: forward function -/ def non_copyable_array : Result Unit := do - let _ ← take_array_t (Array.make T (Usize.ofInt 2) [ T.A, T.B ]) + let _ ← take_array_t (Array.make AB 2#usize [ AB.A, AB.B ]) Result.ret () /- [array::sum]: loop 0: forward function -/ @@ -353,15 +330,15 @@ divergent def sum_loop (s : Slice U32) (sum0 : U32) (i : Usize) : Result U32 := if i < i0 then do - let i1 ← Slice.index_shared U32 s i + let i1 ← Slice.index_usize U32 s i let sum1 ← sum0 + i1 - let i2 ← i + (Usize.ofInt 1) + let i2 ← i + 1#usize sum_loop s sum1 i2 else Result.ret sum0 /- [array::sum]: forward function -/ def sum (s : Slice U32) : Result U32 := - sum_loop s (U32.ofInt 0) (Usize.ofInt 0) + sum_loop s 0#u32 0#usize /- [array::sum2]: loop 0: forward function -/ divergent def sum2_loop @@ -370,11 +347,11 @@ divergent def sum2_loop if i < i0 then do - let i1 ← Slice.index_shared U32 s i - let i2 ← Slice.index_shared U32 s2 i + 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 + (Usize.ofInt 1) + let i4 ← i + 1#usize sum2_loop s s2 sum1 i4 else Result.ret sum0 @@ -384,27 +361,24 @@ def sum2 (s : Slice U32) (s2 : Slice U32) : Result U32 := let i0 := Slice.len U32 s2 if not (i = i0) then Result.fail Error.panic - else sum2_loop s s2 (U32.ofInt 0) (Usize.ofInt 0) + else sum2_loop s s2 0#u32 0#usize /- [array::f0]: forward function -/ def f0 : Result Unit := do let s ← - Array.to_slice_mut U32 (Usize.ofInt 2) - (Array.make U32 (Usize.ofInt 2) [ (U32.ofInt 1), (U32.ofInt 2) ]) - let s0 ← Slice.index_mut_back U32 s (Usize.ofInt 0) (U32.ofInt 1) + 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.to_slice_mut_back U32 (Usize.ofInt 2) - (Array.make U32 (Usize.ofInt 2) [ (U32.ofInt 1), (U32.ofInt 2) ]) s0 + Array.from_slice U32 2#usize (Array.make U32 2#usize [ 1#u32, 2#u32 ]) s0 Result.ret () /- [array::f1]: forward function -/ def f1 : Result Unit := do let _ ← - Array.index_mut_back U32 (Usize.ofInt 2) - (Array.make U32 (Usize.ofInt 2) [ (U32.ofInt 1), (U32.ofInt 2) ]) - (Usize.ofInt 0) (U32.ofInt 1) + Array.update_usize U32 2#usize (Array.make U32 2#usize [ 1#u32, 2#u32 ]) + 0#usize 1#u32 Result.ret () /- [array::f2]: forward function -/ @@ -412,54 +386,46 @@ def f2 (i : U32) : Result Unit := Result.ret () /- [array::f4]: forward function -/ -def f4 - (x : Array U32 (Usize.ofInt 32)) (y : Usize) (z : Usize) : - Result (Slice U32) - := - Array.subslice_shared U32 (Usize.ofInt 32) x (Range.mk y z) +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 + (core.slice.index.Slice.coreopsindexIndexInst U32 (core.ops.range.Range + Usize) (core.slice.index.Range.coresliceindexSliceIndexInst U32)) x + { start := y, end_ := z } /- [array::f3]: forward function -/ def f3 : Result U32 := do let i ← - Array.index_shared U32 (Usize.ofInt 2) - (Array.make U32 (Usize.ofInt 2) [ (U32.ofInt 1), (U32.ofInt 2) ]) - (Usize.ofInt 0) + 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_shared U32 (Usize.ofInt 2) - (Array.make U32 (Usize.ofInt 2) [ (U32.ofInt 1), (U32.ofInt 2) ]) - let s0 ← - f4 - (Array.make U32 (Usize.ofInt 32) [ - (U32.ofInt 0), (U32.ofInt 0), (U32.ofInt 0), (U32.ofInt 0), - (U32.ofInt 0), (U32.ofInt 0), (U32.ofInt 0), (U32.ofInt 0), - (U32.ofInt 0), (U32.ofInt 0), (U32.ofInt 0), (U32.ofInt 0), - (U32.ofInt 0), (U32.ofInt 0), (U32.ofInt 0), (U32.ofInt 0), - (U32.ofInt 0), (U32.ofInt 0), (U32.ofInt 0), (U32.ofInt 0), - (U32.ofInt 0), (U32.ofInt 0), (U32.ofInt 0), (U32.ofInt 0), - (U32.ofInt 0), (U32.ofInt 0), (U32.ofInt 0), (U32.ofInt 0), - (U32.ofInt 0), (U32.ofInt 0), (U32.ofInt 0), (U32.ofInt 0) - ]) (Usize.ofInt 16) (Usize.ofInt 18) + 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 +/- [array::SZ] -/ +def sz_body : Result Usize := Result.ret 32#usize +def sz_c : Usize := eval_global sz_body (by simp) + +/- [array::f5]: forward function -/ +def f5 (x : Array U32 32#usize) : Result U32 := + Array.index_usize U32 32#usize x 0#usize + /- [array::ite]: forward function -/ def ite : Result Unit := do let s ← - Array.to_slice_mut U32 (Usize.ofInt 2) - (Array.make U32 (Usize.ofInt 2) [ (U32.ofInt 0), (U32.ofInt 0) ]) + Array.to_slice U32 2#usize (Array.make U32 2#usize [ 0#u32, 0#u32 ]) let s0 ← - Array.to_slice_mut U32 (Usize.ofInt 2) - (Array.make U32 (Usize.ofInt 2) [ (U32.ofInt 0), (U32.ofInt 0) ]) + 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.to_slice_mut_back U32 (Usize.ofInt 2) - (Array.make U32 (Usize.ofInt 2) [ (U32.ofInt 0), (U32.ofInt 0) ]) s1 + 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.to_slice_mut_back U32 (Usize.ofInt 2) - (Array.make U32 (Usize.ofInt 2) [ (U32.ofInt 0), (U32.ofInt 0) ]) s2 + Array.from_slice U32 2#usize (Array.make U32 2#usize [ 0#u32, 0#u32 ]) s2 Result.ret () end array diff --git a/tests/lean/Array/Types.lean b/tests/lean/Array/Types.lean index 72241276..60fa81ab 100644 --- a/tests/lean/Array/Types.lean +++ b/tests/lean/Array/Types.lean @@ -5,9 +5,9 @@ open Primitives namespace array -/- [array::T] -/ -inductive T := -| A : T -| B : T +/- [array::AB] -/ +inductive AB := +| A : AB +| B : AB end array diff --git a/tests/lean/BetreeMain/Funs.lean b/tests/lean/BetreeMain/Funs.lean index 07ef08dc..0d7cb984 100644 --- a/tests/lean/BetreeMain/Funs.lean +++ b/tests/lean/BetreeMain/Funs.lean @@ -7,14 +7,16 @@ open Primitives namespace betree_main -/- [betree_main::betree::load_internal_node]: forward function -/ +/- [betree_main::betree::load_internal_node]: forward function + Source: 'src/betree.rs', lines 36:0-36:52 -/ def betree.load_internal_node (id : U64) (st : State) : Result (State × (betree.List (U64 × betree.Message))) := betree_utils.load_internal_node id st -/- [betree_main::betree::store_internal_node]: forward function -/ +/- [betree_main::betree::store_internal_node]: forward function + 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) @@ -23,12 +25,14 @@ def betree.store_internal_node let (st0, _) ← betree_utils.store_internal_node id content st Result.ret (st0, ()) -/- [betree_main::betree::load_leaf_node]: forward function -/ +/- [betree_main::betree::load_leaf_node]: forward function + 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]: forward function + 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) @@ -37,125 +41,133 @@ def betree.store_leaf_node let (st0, _) ← betree_utils.store_leaf_node id content st Result.ret (st0, ()) -/- [betree_main::betree::fresh_node_id]: forward function -/ +/- [betree_main::betree::fresh_node_id]: forward function + Source: 'src/betree.rs', lines 55:0-55:48 -/ def betree.fresh_node_id (counter : U64) : Result U64 := do - let _ ← counter + (U64.ofInt 1) + let _ ← counter + 1#u64 Result.ret counter -/- [betree_main::betree::fresh_node_id]: backward function 0 -/ +/- [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 + (U64.ofInt 1) + counter + 1#u64 -/- [betree_main::betree::NodeIdCounter::{0}::new]: forward function -/ +/- [betree_main::betree::{betree_main::betree::NodeIdCounter}::new]: forward function + Source: 'src/betree.rs', lines 206:4-206:20 -/ def betree.NodeIdCounter.new : Result betree.NodeIdCounter := - Result.ret { next_node_id := (U64.ofInt 0) } + Result.ret { next_node_id := 0#u64 } -/- [betree_main::betree::NodeIdCounter::{0}::fresh_id]: forward function -/ +/- [betree_main::betree::{betree_main::betree::NodeIdCounter}::fresh_id]: forward function + Source: 'src/betree.rs', lines 210:4-210:36 -/ def betree.NodeIdCounter.fresh_id (self : betree.NodeIdCounter) : Result U64 := do - let _ ← self.next_node_id + (U64.ofInt 1) + let _ ← self.next_node_id + 1#u64 Result.ret self.next_node_id -/- [betree_main::betree::NodeIdCounter::{0}::fresh_id]: backward function 0 -/ +/- [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 + (U64.ofInt 1) + let i ← self.next_node_id + 1#u64 Result.ret { next_node_id := i } -/- [core::num::u64::{9}::MAX] -/ -def core_num_u64_max_body : Result U64 := - Result.ret (U64.ofInt 18446744073709551615) -def core_num_u64_max_c : U64 := eval_global core_num_u64_max_body (by simp) - -/- [betree_main::betree::upsert_update]: forward function -/ +/- [betree_main::betree::upsert_update]: forward function + Source: 'src/betree.rs', lines 234:0-234:70 -/ def betree.upsert_update (prev : Option U64) (st : betree.UpsertFunState) : Result U64 := match prev with - | Option.none => + | none => match st with | betree.UpsertFunState.Add v => Result.ret v - | betree.UpsertFunState.Sub i => Result.ret (U64.ofInt 0) - | Option.some prev0 => + | betree.UpsertFunState.Sub i => Result.ret 0#u64 + | some prev0 => match st with | betree.UpsertFunState.Add v => do - let margin ← core_num_u64_max_c - prev0 + let margin ← core_u64_max - prev0 if margin >= v then prev0 + v - else Result.ret core_num_u64_max_c + else Result.ret core_u64_max | betree.UpsertFunState.Sub v => if prev0 >= v then prev0 - v - else Result.ret (U64.ofInt 0) + else Result.ret 0#u64 -/- [betree_main::betree::List::{1}::len]: forward function -/ +/- [betree_main::betree::{betree_main::betree::List<T>#1}::len]: forward function + 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 - (U64.ofInt 1) + i - | betree.List.Nil => Result.ret (U64.ofInt 0) + | betree.List.Cons t tl => do + let i ← betree.List.len T tl + 1#u64 + i + | betree.List.Nil => Result.ret 0#u64 -/- [betree_main::betree::List::{1}::split_at]: forward function -/ +/- [betree_main::betree::{betree_main::betree::List<T>#1}::split_at]: forward function + Source: 'src/betree.rs', lines 284:4-284:51 -/ divergent def betree.List.split_at (T : Type) (self : betree.List T) (n : U64) : Result ((betree.List T) × (betree.List T)) := - if n = (U64.ofInt 0) + if n = 0#u64 then Result.ret (betree.List.Nil, self) else match self with | betree.List.Cons hd tl => do - let i ← n - (U64.ofInt 1) + 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) - | betree.List.Nil => Result.fail Error.panic + | betree.List.Nil => Result.fail .panic -/- [betree_main::betree::List::{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]: merged forward/backward function + (there is a single backward function, and the forward function returns ()) + 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 := mem.replace (betree.List T) self betree.List.Nil + 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::List::{1}::pop_front]: forward function -/ +/- [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 := mem.replace (betree.List T) self betree.List.Nil + 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 Error.panic + | betree.List.Nil => Result.fail .panic -/- [betree_main::betree::List::{1}::pop_front]: backward function 0 -/ +/- [betree_main::betree::{betree_main::betree::List<T>#1}::pop_front]: backward function 0 + 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 := mem.replace (betree.List T) self betree.List.Nil + 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.Nil => Result.fail Error.panic + | betree.List.Nil => Result.fail .panic -/- [betree_main::betree::List::{1}::hd]: forward function -/ +/- [betree_main::betree::{betree_main::betree::List<T>#1}::hd]: forward function + 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.Nil => Result.fail Error.panic + | betree.List.Nil => Result.fail .panic -/- [betree_main::betree::List::{2}::head_has_key]: forward function -/ -def betree.List.head_has_key +/- [betree_main::betree::{betree_main::betree::List<(u64, T)>#2}::head_has_key]: forward function + 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 Result.ret (i = key) | betree.List.Nil => Result.ret false -/- [betree_main::betree::List::{2}::partition_at_pivot]: forward function -/ -divergent def betree.List.partition_at_pivot +/- [betree_main::betree::{betree_main::betree::List<(u64, T)>#2}::partition_at_pivot]: forward function + 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) : Result ((betree.List (U64 × T)) × (betree.List (U64 × T))) := @@ -166,13 +178,14 @@ divergent def betree.List.partition_at_pivot then Result.ret (betree.List.Nil, betree.List.Cons (i, t) tl) else do - let p ← betree.List.partition_at_pivot T tl pivot + 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) | betree.List.Nil => Result.ret (betree.List.Nil, betree.List.Nil) -/- [betree_main::betree::Leaf::{3}::split]: forward function -/ +/- [betree_main::betree::{betree_main::betree::Leaf#3}::split]: forward function + 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) : @@ -192,7 +205,8 @@ def betree.Leaf.split 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::Leaf::{3}::split]: backward function 2 -/ +/- [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) : @@ -209,7 +223,8 @@ def betree.Leaf.split_back let _ ← betree.store_leaf_node id1 content1 st0 betree.NodeIdCounter.fresh_id_back node_id_cnt0 -/- [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]: forward function + 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)) @@ -222,46 +237,63 @@ divergent def betree.Node.lookup_first_message_for_key else betree.Node.lookup_first_message_for_key key next_msgs | betree.List.Nil => Result.ret betree.List.Nil -/- [betree_main::betree::Node::{5}::lookup_first_message_for_key]: backward function 0 -/ +/- [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)) - (ret0 : 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 ret0 + then Result.ret ret else do let next_msgs0 ← - betree.Node.lookup_first_message_for_key_back key next_msgs ret0 + 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 ret0 + | betree.List.Nil => Result.ret ret + +/- [betree_main::betree::{betree_main::betree::Node#5}::lookup_in_bindings]: forward function + 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 + if i = key + then Result.ret (some i0) + 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::Node::{5}::apply_upserts]: forward function -/ +/- [betree_main::betree::{betree_main::betree::Node#5}::apply_upserts]: forward function + 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) := do - let b ← betree.List.head_has_key betree.Message msgs key + 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 Error.panic - | betree.Message.Delete => Result.fail Error.panic + | 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 (Option.some v) key st + betree.Node.apply_upserts msgs0 (some v) key st else do let (st0, v) ← core.option.Option.unwrap U64 prev st @@ -270,49 +302,37 @@ divergent def betree.Node.apply_upserts betree.Message.Insert v) Result.ret (st0, v) -/- [betree_main::betree::Node::{5}::apply_upserts]: backward function 0 -/ +/- [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.List.head_has_key betree.Message msgs key + 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 Error.panic - | betree.Message.Delete => Result.fail Error.panic + | 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 (Option.some v) key st + betree.Node.apply_upserts_back msgs0 (some v) key st else do let (_, v) ← core.option.Option.unwrap U64 prev st betree.List.push_front (U64 × betree.Message) msgs (key, betree.Message.Insert v) -/- [betree_main::betree::Node::{5}::lookup_in_bindings]: forward function -/ -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 - if i = key - then Result.ret (Option.some i0) - else - if i > key - then Result.ret Option.none - else betree.Node.lookup_in_bindings key tl - | betree.List.Nil => Result.ret Option.none - -/- [betree_main::betree::Internal::{4}::lookup_in_children]: forward function -/ +/- [betree_main::betree::{betree_main::betree::Internal#4}::lookup_in_children]: forward function + 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)) @@ -322,7 +342,8 @@ mutual divergent def betree.Internal.lookup_in_children then betree.Node.lookup n key st else betree.Node.lookup n0 key st -/- [betree_main::betree::Internal::{4}::lookup_in_children]: backward function 0 -/ +/- [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 @@ -336,7 +357,8 @@ divergent def betree.Internal.lookup_in_children_back let n1 ← betree.Node.lookup_back n0 key st Result.ret (betree.Internal.mk i i0 n n1) -/- [betree_main::betree::Node::{5}::lookup]: forward function -/ +/- [betree_main::betree::{betree_main::betree::Node#5}::lookup]: forward function + 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)) @@ -353,13 +375,13 @@ divergent def betree.Node.lookup if k != key then do - let (st1, opt) ← + 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, opt) + Result.ret (st1, o) else match msg with | betree.Message.Insert v => @@ -367,13 +389,13 @@ divergent def betree.Node.lookup let _ ← betree.Node.lookup_first_message_for_key_back key msgs (betree.List.Cons (k, betree.Message.Insert v) l) - Result.ret (st0, Option.some v) + 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, Option.none) + Result.ret (st0, none) | betree.Message.Upsert ufs => do let (st1, v) ← @@ -392,23 +414,24 @@ divergent def betree.Node.lookup 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, Option.some v0) + Result.ret (st3, some v0) | betree.List.Nil => do - let (st1, opt) ← + 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.Nil - Result.ret (st1, opt) + Result.ret (st1, o) | betree.Node.Leaf node => do let (st0, bindings) ← betree.load_leaf_node node.id st - let opt ← betree.Node.lookup_in_bindings key bindings - Result.ret (st0, opt) + let o ← betree.Node.lookup_in_bindings key bindings + Result.ret (st0, o) -/- [betree_main::betree::Node::{5}::lookup]: backward function 0 -/ +/- [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 @@ -481,8 +504,9 @@ divergent def betree.Node.lookup_back end -/- [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]: merged forward/backward function + (there is a single backward function, and the forward function returns ()) + 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)) : Result (betree.List (U64 × betree.Message)) @@ -500,7 +524,8 @@ divergent def betree.Node.filter_messages_for_key else Result.ret (betree.List.Cons (k, m) l) | betree.List.Nil => Result.ret betree.List.Nil -/- [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]: forward function + 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)) @@ -513,10 +538,11 @@ divergent def betree.Node.lookup_first_message_after_key else Result.ret (betree.List.Cons (k, m) next_msgs) | betree.List.Nil => Result.ret betree.List.Nil -/- [betree_main::betree::Node::{5}::lookup_first_message_after_key]: backward function 0 -/ +/- [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)) - (ret0 : betree.List (U64 × betree.Message)) : + (ret : betree.List (U64 × betree.Message)) : Result (betree.List (U64 × betree.Message)) := match msgs with @@ -526,13 +552,14 @@ divergent def betree.Node.lookup_first_message_after_key_back then do let next_msgs0 ← - betree.Node.lookup_first_message_after_key_back key next_msgs ret0 + betree.Node.lookup_first_message_after_key_back key next_msgs ret Result.ret (betree.List.Cons (k, m) next_msgs0) - else Result.ret ret0 - | betree.List.Nil => Result.ret ret0 + else Result.ret ret + | betree.List.Nil => Result.ret ret -/- [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]: merged forward/backward function + (there is a single backward function, and the forward function returns ()) + Source: 'src/betree.rs', lines 521:4-521:89 -/ def betree.Node.apply_to_internal (msgs : betree.List (U64 × betree.Message)) (key : U64) (new_msg : betree.Message) : @@ -540,7 +567,7 @@ def betree.Node.apply_to_internal := do let msgs0 ← betree.Node.lookup_first_message_for_key key msgs - let b ← betree.List.head_has_key betree.Message msgs0 key + let b ← betree.ListTupleU64T.head_has_key betree.Message msgs0 key if b then match new_msg with @@ -565,7 +592,7 @@ def betree.Node.apply_to_internal match m with | betree.Message.Insert prev => do - let v ← betree.upsert_update (Option.some prev) s + let v ← betree.upsert_update (some prev) s let msgs1 ← betree.List.pop_front_back (U64 × betree.Message) msgs0 let msgs2 ← @@ -574,7 +601,7 @@ def betree.Node.apply_to_internal betree.Node.lookup_first_message_for_key_back key msgs msgs2 | betree.Message.Delete => do - let v ← betree.upsert_update Option.none s + let v ← betree.upsert_update none s let msgs1 ← betree.List.pop_front_back (U64 × betree.Message) msgs0 let msgs2 ← @@ -597,8 +624,9 @@ def betree.Node.apply_to_internal betree.List.push_front (U64 × betree.Message) msgs0 (key, new_msg) betree.Node.lookup_first_message_for_key_back key msgs msgs1 -/- [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]: merged forward/backward function + (there is a single backward function, and the forward function returns ()) + Source: 'src/betree.rs', lines 502:4-505:5 -/ divergent def betree.Node.apply_messages_to_internal (msgs : betree.List (U64 × betree.Message)) (new_msgs : betree.List (U64 × betree.Message)) : @@ -612,7 +640,8 @@ divergent def betree.Node.apply_messages_to_internal betree.Node.apply_messages_to_internal msgs0 new_msgs_tl | betree.List.Nil => Result.ret msgs -/- [betree_main::betree::Node::{5}::lookup_mut_in_bindings]: forward function -/ +/- [betree_main::betree::{betree_main::betree::Node#5}::lookup_mut_in_bindings]: forward function + 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)) @@ -625,25 +654,27 @@ divergent def betree.Node.lookup_mut_in_bindings else betree.Node.lookup_mut_in_bindings key tl | betree.List.Nil => Result.ret betree.List.Nil -/- [betree_main::betree::Node::{5}::lookup_mut_in_bindings]: backward function 0 -/ +/- [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)) - (ret0 : betree.List (U64 × U64)) : + (ret : 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 ret0 + then Result.ret ret else do - let tl0 ← betree.Node.lookup_mut_in_bindings_back key tl ret0 + 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 ret0 + | betree.List.Nil => Result.ret ret -/- [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]: merged forward/backward function + (there is a single backward function, and the forward function returns ()) + 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) : @@ -651,7 +682,7 @@ def betree.Node.apply_to_leaf := do let bindings0 ← betree.Node.lookup_mut_in_bindings key bindings - let b ← betree.List.head_has_key U64 bindings0 key + let b ← betree.ListTupleU64T.head_has_key U64 bindings0 key if b then do @@ -670,7 +701,7 @@ def betree.Node.apply_to_leaf | betree.Message.Upsert s => do let (_, i) := hd - let v ← betree.upsert_update (Option.some i) s + 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) @@ -686,13 +717,14 @@ def betree.Node.apply_to_leaf betree.Node.lookup_mut_in_bindings_back key bindings bindings0 | betree.Message.Upsert s => do - let v ← betree.upsert_update Option.none s + 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 -/- [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]: merged forward/backward function + (there is a single backward function, and the forward function returns ()) + Source: 'src/betree.rs', lines 444:4-447:5 -/ divergent def betree.Node.apply_messages_to_leaf (bindings : betree.List (U64 × U64)) (new_msgs : betree.List (U64 × betree.Message)) : @@ -706,7 +738,8 @@ divergent def betree.Node.apply_messages_to_leaf betree.Node.apply_messages_to_leaf bindings0 new_msgs_tl | betree.List.Nil => Result.ret bindings -/- [betree_main::betree::Internal::{4}::flush]: forward function -/ +/- [betree_main::betree::{betree_main::betree::Internal#4}::flush]: forward function + 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) @@ -715,7 +748,7 @@ mutual divergent def betree.Internal.flush := do let ⟨ _, i, n, n0 ⟩ := self - let p ← betree.List.partition_at_pivot betree.Message content i + 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 @@ -744,7 +777,8 @@ mutual divergent def betree.Internal.flush betree.Node.apply_messages_back n0 params node_id_cnt msgs_right st Result.ret (st0, msgs_left) -/- [betree_main::betree::Internal::{4}::flush]: backward function 0 -/ +/- [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) @@ -753,7 +787,7 @@ divergent def betree.Internal.flush_back := do let ⟨ i, i0, n, n0 ⟩ := self - let p ← betree.List.partition_at_pivot betree.Message content i0 + 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 @@ -778,7 +812,8 @@ divergent def betree.Internal.flush_back 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::Node::{5}::apply_messages]: forward function -/ +/- [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) @@ -813,7 +848,7 @@ divergent def betree.Node.apply_messages 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 ← (U64.ofInt 2) * params.split_size + let i ← 2#u64 * params.split_size if len >= i then do @@ -826,7 +861,8 @@ divergent def betree.Node.apply_messages let (st1, _) ← betree.store_leaf_node node.id content0 st0 Result.ret (st1, ()) -/- [betree_main::betree::Node::{5}::apply_messages]: backward function 0 -/ +/- [betree_main::betree::{betree_main::betree::Node#5}::apply_messages]: backward function 0 + Source: 'src/betree.rs', lines 588:4-593:5 -/ divergent def betree.Node.apply_messages_back (self : betree.Node) (params : betree.Params) (node_id_cnt : betree.NodeIdCounter) @@ -863,7 +899,7 @@ divergent def betree.Node.apply_messages_back 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 ← (U64.ofInt 2) * params.split_size + let i ← 2#u64 * params.split_size if len >= i then do @@ -880,7 +916,8 @@ divergent def betree.Node.apply_messages_back end -/- [betree_main::betree::Node::{5}::apply]: forward function -/ +/- [betree_main::betree::{betree_main::betree::Node#5}::apply]: forward function + 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) @@ -897,7 +934,8 @@ def betree.Node.apply (key, new_msg) l) st Result.ret (st0, ()) -/- [betree_main::betree::Node::{5}::apply]: backward function 0 -/ +/- [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) @@ -908,7 +946,8 @@ def betree.Node.apply_back betree.Node.apply_messages_back self params node_id_cnt (betree.List.Cons (key, new_msg) l) st -/- [betree_main::betree::BeTree::{6}::new]: forward function -/ +/- [betree_main::betree::{betree_main::betree::BeTree#6}::new]: forward function + 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) @@ -923,10 +962,11 @@ def betree.BeTree.new params := { min_flush_size := min_flush_size, split_size := split_size }, node_id_cnt := node_id_cnt0, - root := (betree.Node.Leaf { id := id, size := (U64.ofInt 0) }) + root := (betree.Node.Leaf { id := id, size := 0#u64 }) }) -/- [betree_main::betree::BeTree::{6}::apply]: forward function -/ +/- [betree_main::betree::{betree_main::betree::BeTree#6}::apply]: forward function + 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) @@ -938,7 +978,8 @@ def betree.BeTree.apply betree.Node.apply_back self.root self.params self.node_id_cnt key msg st Result.ret (st0, ()) -/- [betree_main::betree::BeTree::{6}::apply]: backward function 0 -/ +/- [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 @@ -948,7 +989,8 @@ def betree.BeTree.apply_back 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 } -/- [betree_main::betree::BeTree::{6}::insert]: forward function -/ +/- [betree_main::betree::{betree_main::betree::BeTree#6}::insert]: forward function + 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) @@ -960,14 +1002,16 @@ def betree.BeTree.insert betree.BeTree.apply_back self key (betree.Message.Insert value) st Result.ret (st0, ()) -/- [betree_main::betree::BeTree::{6}::insert]: backward function 0 -/ +/- [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 := betree.BeTree.apply_back self key (betree.Message.Insert value) st -/- [betree_main::betree::BeTree::{6}::delete]: forward function -/ +/- [betree_main::betree::{betree_main::betree::BeTree#6}::delete]: forward function + Source: 'src/betree.rs', lines 880:4-880:38 -/ def betree.BeTree.delete (self : betree.BeTree) (key : U64) (st : State) : Result (State × Unit) := do @@ -975,12 +1019,14 @@ def betree.BeTree.delete let _ ← betree.BeTree.apply_back self key betree.Message.Delete st Result.ret (st0, ()) -/- [betree_main::betree::BeTree::{6}::delete]: backward function 0 -/ +/- [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::{6}::upsert]: forward function -/ +/- [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) : @@ -992,7 +1038,8 @@ def betree.BeTree.upsert let _ ← betree.BeTree.apply_back self key (betree.Message.Upsert upd) st Result.ret (st0, ()) -/- [betree_main::betree::BeTree::{6}::upsert]: backward function 0 -/ +/- [betree_main::betree::{betree_main::betree::BeTree#6}::upsert]: backward function 0 + Source: 'src/betree.rs', lines 886:4-886:59 -/ def betree.BeTree.upsert_back (self : betree.BeTree) (key : U64) (upd : betree.UpsertFunState) (st : State) : @@ -1000,25 +1047,28 @@ def betree.BeTree.upsert_back := betree.BeTree.apply_back self key (betree.Message.Upsert upd) st -/- [betree_main::betree::BeTree::{6}::lookup]: forward function -/ +/- [betree_main::betree::{betree_main::betree::BeTree#6}::lookup]: forward function + Source: 'src/betree.rs', lines 895:4-895:62 -/ def betree.BeTree.lookup (self : betree.BeTree) (key : U64) (st : State) : Result (State × (Option U64)) := betree.Node.lookup self.root key st -/- [betree_main::betree::BeTree::{6}::lookup]: backward function 0 -/ +/- [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 } -/- [betree_main::main]: forward function -/ +/- [betree_main::main]: forward function + Source: 'src/betree_main.rs', lines 5:0-5:9 -/ def main : Result Unit := Result.ret () /- Unit test for [betree_main::main] -/ -#assert (main == .ret ()) +#assert (main == Result.ret ()) end betree_main diff --git a/tests/lean/BetreeMain/FunsExternal_Template.lean b/tests/lean/BetreeMain/FunsExternal_Template.lean index 430d2dda..95f88873 100644 --- a/tests/lean/BetreeMain/FunsExternal_Template.lean +++ b/tests/lean/BetreeMain/FunsExternal_Template.lean @@ -6,25 +6,30 @@ import BetreeMain.Types open Primitives open betree_main -/- [betree_main::betree_utils::load_internal_node]: forward function -/ +/- [betree_main::betree_utils::load_internal_node]: forward function + 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]: forward function + 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]: forward function + 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]: forward function + 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::Option::{0}::unwrap]: forward function -/ +/- [core::option::{core::option::Option<T>}::unwrap]: forward function + 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/BetreeMain/Types.lean b/tests/lean/BetreeMain/Types.lean index 2f5de6a0..877508f6 100644 --- a/tests/lean/BetreeMain/Types.lean +++ b/tests/lean/BetreeMain/Types.lean @@ -1,60 +1,67 @@ -- THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS -- [betree_main]: type definitions import Base +import BetreeMain.TypesExternal open Primitives namespace betree_main -/- [betree_main::betree::List] -/ +/- [betree_main::betree::List] + Source: 'src/betree.rs', lines 17:0-17:23 -/ inductive betree.List (T : Type) := | Cons : T → betree.List T → betree.List T | Nil : betree.List T -/- [betree_main::betree::UpsertFunState] -/ +/- [betree_main::betree::UpsertFunState] + Source: 'src/betree.rs', lines 63:0-63:23 -/ inductive betree.UpsertFunState := | Add : U64 → betree.UpsertFunState | Sub : U64 → betree.UpsertFunState -/- [betree_main::betree::Message] -/ +/- [betree_main::betree::Message] + Source: 'src/betree.rs', lines 69:0-69:23 -/ inductive betree.Message := | Insert : U64 → betree.Message | Delete : betree.Message | Upsert : betree.UpsertFunState → betree.Message -/- [betree_main::betree::Leaf] -/ +/- [betree_main::betree::Leaf] + Source: 'src/betree.rs', lines 167:0-167:11 -/ structure betree.Leaf where id : U64 size : U64 mutual -/- [betree_main::betree::Internal] -/ +/- [betree_main::betree::Internal] + Source: 'src/betree.rs', lines 156:0-156:15 -/ inductive betree.Internal := | mk : U64 → U64 → betree.Node → betree.Node → betree.Internal -/- [betree_main::betree::Node] -/ +/- [betree_main::betree::Node] + Source: 'src/betree.rs', lines 179:0-179:9 -/ inductive betree.Node := | Internal : betree.Internal → betree.Node | Leaf : betree.Leaf → betree.Node end -/- [betree_main::betree::Params] -/ +/- [betree_main::betree::Params] + Source: 'src/betree.rs', lines 187:0-187:13 -/ structure betree.Params where min_flush_size : U64 split_size : U64 -/- [betree_main::betree::NodeIdCounter] -/ +/- [betree_main::betree::NodeIdCounter] + Source: 'src/betree.rs', lines 201:0-201:20 -/ structure betree.NodeIdCounter where next_node_id : U64 -/- [betree_main::betree::BeTree] -/ +/- [betree_main::betree::BeTree] + Source: 'src/betree.rs', lines 218:0-218:17 -/ structure betree.BeTree where params : betree.Params node_id_cnt : betree.NodeIdCounter root : betree.Node -/- The state type used in the state-error monad -/ -axiom State : Type - end betree_main diff --git a/tests/lean/BetreeMain/TypesExternal.lean b/tests/lean/BetreeMain/TypesExternal.lean new file mode 100644 index 00000000..1701eaaf --- /dev/null +++ b/tests/lean/BetreeMain/TypesExternal.lean @@ -0,0 +1,7 @@ +-- [betree_main]: external types. +import Base +open Primitives + +/- The state type used in the state-error monad -/ +axiom State : Type + diff --git a/tests/lean/BetreeMain/TypesExternal_Template.lean b/tests/lean/BetreeMain/TypesExternal_Template.lean new file mode 100644 index 00000000..bbac7e99 --- /dev/null +++ b/tests/lean/BetreeMain/TypesExternal_Template.lean @@ -0,0 +1,9 @@ +-- THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS +-- [betree_main]: external types. +-- This is a template file: rename it to "TypesExternal.lean" and fill the holes. +import Base +open Primitives + +/- The state type used in the state-error monad -/ +axiom State : Type + diff --git a/tests/lean/Bitwise.lean b/tests/lean/Bitwise.lean new file mode 100644 index 00000000..c8538aa2 --- /dev/null +++ b/tests/lean/Bitwise.lean @@ -0,0 +1,37 @@ +-- THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS +-- [bitwise] +import Base +open Primitives + +namespace bitwise + +/- [bitwise::shift_u32]: forward function + 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 + +/- [bitwise::shift_i32]: forward function + 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 + +/- [bitwise::xor_u32]: forward function + 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 + 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 + Source: 'src/bitwise.rs', lines 25:0-25:37 -/ +def and_u32 (a : U32) (b : U32) : Result U32 := + Result.ret (a &&& b) + +end bitwise diff --git a/tests/lean/Constants.lean b/tests/lean/Constants.lean index 51b415d6..80864427 100644 --- a/tests/lean/Constants.lean +++ b/tests/lean/Constants.lean @@ -5,125 +5,148 @@ open Primitives namespace constants -/- [constants::X0] -/ -def x0_body : Result U32 := Result.ret (U32.ofInt 0) +/- [constants::X0] + Source: 'src/constants.rs', lines 5:0-5:17 -/ +def x0_body : Result U32 := Result.ret 0#u32 def x0_c : U32 := eval_global x0_body (by simp) -/- [core::num::u32::{8}::MAX] -/ -def core_num_u32_max_body : Result U32 := Result.ret (U32.ofInt 4294967295) -def core_num_u32_max_c : U32 := eval_global core_num_u32_max_body (by simp) - -/- [constants::X1] -/ -def x1_body : Result U32 := Result.ret core_num_u32_max_c +/- [constants::X1] + Source: 'src/constants.rs', lines 7:0-7:17 -/ +def x1_body : Result U32 := Result.ret core_u32_max def x1_c : U32 := eval_global x1_body (by simp) -/- [constants::X2] -/ -def x2_body : Result U32 := Result.ret (U32.ofInt 3) +/- [constants::X2] + Source: 'src/constants.rs', lines 10:0-10:17 -/ +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]: forward function + Source: 'src/constants.rs', lines 17:0-17:32 -/ def incr (n : U32) : Result U32 := - n + (U32.ofInt 1) + n + 1#u32 -/- [constants::X3] -/ -def x3_body : Result U32 := incr (U32.ofInt 32) +/- [constants::X3] + Source: 'src/constants.rs', lines 15:0-15:17 -/ +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]: forward function + Source: 'src/constants.rs', lines 23:0-23:51 -/ def mk_pair0 (x : U32) (y : U32) : Result (U32 × U32) := Result.ret (x, y) -/- [constants::Pair] -/ +/- [constants::Pair] + Source: 'src/constants.rs', lines 36:0-36:23 -/ structure Pair (T1 T2 : Type) where x : T1 y : T2 -/- [constants::mk_pair1]: forward function -/ +/- [constants::mk_pair1]: forward function + 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 } -/- [constants::P0] -/ -def p0_body : Result (U32 × U32) := mk_pair0 (U32.ofInt 0) (U32.ofInt 1) +/- [constants::P0] + Source: 'src/constants.rs', lines 31:0-31:24 -/ +def p0_body : Result (U32 × U32) := mk_pair0 0#u32 1#u32 def p0_c : (U32 × U32) := eval_global p0_body (by simp) -/- [constants::P1] -/ -def p1_body : Result (Pair U32 U32) := mk_pair1 (U32.ofInt 0) (U32.ofInt 1) +/- [constants::P1] + Source: 'src/constants.rs', lines 32:0-32:28 -/ +def p1_body : Result (Pair U32 U32) := mk_pair1 0#u32 1#u32 def p1_c : Pair U32 U32 := eval_global p1_body (by simp) -/- [constants::P2] -/ -def p2_body : Result (U32 × U32) := Result.ret ((U32.ofInt 0), (U32.ofInt 1)) +/- [constants::P2] + Source: 'src/constants.rs', lines 33:0-33:24 -/ +def p2_body : Result (U32 × U32) := Result.ret (0#u32, 1#u32) def p2_c : (U32 × U32) := eval_global p2_body (by simp) -/- [constants::P3] -/ -def p3_body : Result (Pair U32 U32) := - Result.ret { x := (U32.ofInt 0), y := (U32.ofInt 1) } +/- [constants::P3] + Source: 'src/constants.rs', lines 34:0-34:28 -/ +def p3_body : Result (Pair U32 U32) := Result.ret { x := 0#u32, y := 1#u32 } def p3_c : Pair U32 U32 := eval_global p3_body (by simp) -/- [constants::Wrap] -/ +/- [constants::Wrap] + Source: 'src/constants.rs', lines 49:0-49:18 -/ structure Wrap (T : Type) where - val : T + value : T -/- [constants::Wrap::{0}::new]: forward function -/ -def Wrap.new (T : Type) (val : T) : Result (Wrap T) := - Result.ret { val := val } +/- [constants::{constants::Wrap<T>}::new]: forward function + Source: 'src/constants.rs', lines 54:4-54:41 -/ +def Wrap.new (T : Type) (value : T) : Result (Wrap T) := + Result.ret { value := value } -/- [constants::Y] -/ -def y_body : Result (Wrap I32) := Wrap.new I32 (I32.ofInt 2) +/- [constants::Y] + Source: 'src/constants.rs', lines 41:0-41:22 -/ +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]: forward function + Source: 'src/constants.rs', lines 43:0-43:30 -/ def unwrap_y : Result I32 := - Result.ret y_c.val + Result.ret y_c.value -/- [constants::YVAL] -/ +/- [constants::YVAL] + Source: 'src/constants.rs', lines 47:0-47:19 -/ def yval_body : Result I32 := unwrap_y def yval_c : I32 := eval_global yval_body (by simp) -/- [constants::get_z1::Z1] -/ -def get_z1_z1_body : Result I32 := Result.ret (I32.ofInt 3) +/- [constants::get_z1::Z1] + Source: 'src/constants.rs', lines 62:4-62:17 -/ +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]: forward function + 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]: forward function + Source: 'src/constants.rs', lines 66:0-66:39 -/ def add (a : I32) (b : I32) : Result I32 := a + b -/- [constants::Q1] -/ -def q1_body : Result I32 := Result.ret (I32.ofInt 5) +/- [constants::Q1] + Source: 'src/constants.rs', lines 74:0-74:17 -/ +def q1_body : Result I32 := Result.ret 5#i32 def q1_c : I32 := eval_global q1_body (by simp) -/- [constants::Q2] -/ +/- [constants::Q2] + Source: 'src/constants.rs', lines 75:0-75:17 -/ def q2_body : Result I32 := Result.ret q1_c def q2_c : I32 := eval_global q2_body (by simp) -/- [constants::Q3] -/ -def q3_body : Result I32 := add q2_c (I32.ofInt 3) +/- [constants::Q3] + Source: 'src/constants.rs', lines 76:0-76:17 -/ +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]: forward function + 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 -/- [constants::S1] -/ -def s1_body : Result U32 := Result.ret (U32.ofInt 6) +/- [constants::S1] + Source: 'src/constants.rs', lines 80:0-80:18 -/ +def s1_body : Result U32 := Result.ret 6#u32 def s1_c : U32 := eval_global s1_body (by simp) -/- [constants::S2] -/ +/- [constants::S2] + Source: 'src/constants.rs', lines 81:0-81:18 -/ def s2_body : Result U32 := incr s1_c def s2_c : U32 := eval_global s2_body (by simp) -/- [constants::S3] -/ +/- [constants::S3] + Source: 'src/constants.rs', lines 82:0-82:29 -/ def s3_body : Result (Pair U32 U32) := Result.ret p3_c def s3_c : Pair U32 U32 := eval_global s3_body (by simp) -/- [constants::S4] -/ -def s4_body : Result (Pair U32 U32) := mk_pair1 (U32.ofInt 7) (U32.ofInt 8) +/- [constants::S4] + Source: 'src/constants.rs', lines 83:0-83:29 -/ +def s4_body : Result (Pair U32 U32) := mk_pair1 7#u32 8#u32 def s4_c : Pair U32 U32 := eval_global s4_body (by simp) end constants diff --git a/tests/lean/External/Funs.lean b/tests/lean/External/Funs.lean index 055d7860..48ec6ad5 100644 --- a/tests/lean/External/Funs.lean +++ b/tests/lean/External/Funs.lean @@ -7,7 +7,8 @@ open Primitives namespace external -/- [external::swap]: forward function -/ +/- [external::swap]: forward function + 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 @@ -15,7 +16,8 @@ def swap (T : Type) (x : T) (y : T) (st : State) : Result (State × Unit) := let (st2, _) ← core.mem.swap_back1 T x y st st1 Result.ret (st2, ()) -/- [external::swap]: backward function 0 -/ +/- [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)) @@ -26,24 +28,27 @@ def swap_back let (_, y0) ← core.mem.swap_back1 T x y st st2 Result.ret (st0, (x0, y0)) -/- [external::test_new_non_zero_u32]: forward function -/ +/- [external::test_new_non_zero_u32]: forward function + 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, opt) ← core.num.nonzero.NonZeroU32.new x st - core.option.Option.unwrap core.num.nonzero.NonZeroU32 opt st0 + let (st0, o) ← core.num.nonzero.NonZeroU32.new x st + core.option.Option.unwrap core.num.nonzero.NonZeroU32 o st0 -/- [external::test_vec]: forward function -/ +/- [external::test_vec]: forward function + Source: 'src/external.rs', lines 17:0-17:17 -/ def test_vec : Result Unit := do - let v := Vec.new U32 - let _ ← Vec.push U32 v (U32.ofInt 0) + let v := alloc.vec.Vec.new U32 + let _ ← alloc.vec.Vec.push U32 v 0#u32 Result.ret () /- Unit test for [external::test_vec] -/ -#assert (test_vec == .ret ()) +#assert (test_vec == Result.ret ()) -/- [external::custom_swap]: forward function -/ +/- [external::custom_swap]: forward function + Source: 'src/external.rs', lines 24:0-24:66 -/ def custom_swap (T : Type) (x : T) (y : T) (st : State) : Result (State × T) := do @@ -52,38 +57,42 @@ def custom_swap let (st2, _) ← core.mem.swap_back1 T x y st st1 Result.ret (st2, x0) -/- [external::custom_swap]: backward function 0 -/ +/- [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) (ret0 : T) (st0 : State) : + (T : Type) (x : T) (y : T) (st : State) (ret : T) (st0 : 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, (ret0, y0)) + Result.ret (st0, (ret, y0)) -/- [external::test_custom_swap]: forward function -/ +/- [external::test_custom_swap]: forward function + Source: 'src/external.rs', lines 29:0-29:59 -/ def test_custom_swap (x : U32) (y : U32) (st : State) : Result (State × Unit) := do let (st0, _) ← custom_swap U32 x y st Result.ret (st0, ()) -/- [external::test_custom_swap]: backward function 0 -/ +/- [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 (U32.ofInt 1) st0 + custom_swap_back U32 x y st 1#u32 st0 -/- [external::test_swap_non_zero]: forward function -/ +/- [external::test_swap_non_zero]: forward function + 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 (U32.ofInt 0) st - let (st1, (x0, _)) ← swap_back U32 x (U32.ofInt 0) st st0 - if x0 = (U32.ofInt 0) - then Result.fail Error.panic + 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) end external diff --git a/tests/lean/External/FunsExternal_Template.lean b/tests/lean/External/FunsExternal_Template.lean index c8bc397f..55cd6bb5 100644 --- a/tests/lean/External/FunsExternal_Template.lean +++ b/tests/lean/External/FunsExternal_Template.lean @@ -6,22 +6,27 @@ import External.Types open Primitives open external -/- [core::mem::swap]: forward function -/ +/- [core::mem::swap]: forward function + 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) -/- [core::mem::swap]: backward function 0 -/ +/- [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 -/ +/- [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::NonZeroU32::{14}::new]: forward function -/ +/- [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 -/ axiom core.num.nonzero.NonZeroU32.new : U32 → State → Result (State × (Option core.num.nonzero.NonZeroU32)) -/- [core::option::Option::{0}::unwrap]: forward function -/ +/- [core::option::{core::option::Option<T>}::unwrap]: forward function + 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/External/Types.lean b/tests/lean/External/Types.lean index 71d70eed..961f3e8a 100644 --- a/tests/lean/External/Types.lean +++ b/tests/lean/External/Types.lean @@ -1,14 +1,9 @@ -- THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS -- [external]: type definitions import Base +import External.TypesExternal open Primitives namespace external -/- [core::num::nonzero::NonZeroU32] -/ -axiom core.num.nonzero.NonZeroU32 : Type - -/- The state type used in the state-error monad -/ -axiom State : Type - end external diff --git a/tests/lean/External/TypesExternal.lean b/tests/lean/External/TypesExternal.lean new file mode 100644 index 00000000..7c30f792 --- /dev/null +++ b/tests/lean/External/TypesExternal.lean @@ -0,0 +1,11 @@ +-- [external]: external types. +import Base +open Primitives + +/- [core::num::nonzero::NonZeroU32] + Source: '/rustc/d59363ad0b6391b7fc5bbb02c9ccf9300eef3753/library/core/src/num/nonzero.rs', lines 50:12-50:33 -/ +axiom core.num.nonzero.NonZeroU32 : Type + +/- The state type used in the state-error monad -/ +axiom State : Type + diff --git a/tests/lean/External/TypesExternal_Template.lean b/tests/lean/External/TypesExternal_Template.lean new file mode 100644 index 00000000..85fef236 --- /dev/null +++ b/tests/lean/External/TypesExternal_Template.lean @@ -0,0 +1,13 @@ +-- THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS +-- [external]: external types. +-- This is a template file: rename it to "TypesExternal.lean" and fill the holes. +import Base +open Primitives + +/- [core::num::nonzero::NonZeroU32] + Source: '/rustc/d59363ad0b6391b7fc5bbb02c9ccf9300eef3753/library/core/src/num/nonzero.rs', lines 50:12-50:33 -/ +axiom core.num.nonzero.NonZeroU32 : Type + +/- The state type used in the state-error monad -/ +axiom State : Type + diff --git a/tests/lean/Hashmap/Funs.lean b/tests/lean/Hashmap/Funs.lean index 30b30e0b..e03981a2 100644 --- a/tests/lean/Hashmap/Funs.lean +++ b/tests/lean/Hashmap/Funs.lean @@ -6,74 +6,92 @@ open Primitives namespace hashmap -/- [hashmap::hash_key]: forward function -/ +/- [hashmap::hash_key]: forward function + Source: 'src/hashmap.rs', lines 27:0-27:32 -/ def hash_key (k : Usize) : Result Usize := Result.ret k -/- [hashmap::HashMap::{0}::allocate_slots]: loop 0: forward function -/ +/- [hashmap::{hashmap::HashMap<T>}::allocate_slots]: loop 0: forward function + Source: 'src/hashmap.rs', lines 50:4-56:5 -/ divergent def HashMap.allocate_slots_loop - (T : Type) (slots : Vec (List T)) (n : Usize) : Result (Vec (List T)) := - if n > (Usize.ofInt 0) + (T : Type) (slots : alloc.vec.Vec (List T)) (n : Usize) : + Result (alloc.vec.Vec (List T)) + := + if n > 0#usize then do - let slots0 ← Vec.push (List T) slots List.Nil - let n0 ← n - (Usize.ofInt 1) + let slots0 ← alloc.vec.Vec.push (List T) slots List.Nil + let n0 ← n - 1#usize HashMap.allocate_slots_loop T slots0 n0 else Result.ret slots -/- [hashmap::HashMap::{0}::allocate_slots]: forward function -/ +/- [hashmap::{hashmap::HashMap<T>}::allocate_slots]: forward function + Source: 'src/hashmap.rs', lines 50:4-50:76 -/ def HashMap.allocate_slots - (T : Type) (slots : Vec (List T)) (n : Usize) : Result (Vec (List T)) := + (T : Type) (slots : alloc.vec.Vec (List T)) (n : Usize) : + Result (alloc.vec.Vec (List T)) + := HashMap.allocate_slots_loop T slots n -/- [hashmap::HashMap::{0}::new_with_capacity]: forward function -/ +/- [hashmap::{hashmap::HashMap<T>}::new_with_capacity]: forward function + Source: 'src/hashmap.rs', lines 59:4-63:13 -/ def HashMap.new_with_capacity (T : Type) (capacity : Usize) (max_load_dividend : Usize) (max_load_divisor : Usize) : Result (HashMap T) := do - let v := Vec.new (List T) + 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 := (Usize.ofInt 0), + num_entries := 0#usize, max_load_factor := (max_load_dividend, max_load_divisor), max_load := i0, slots := slots } -/- [hashmap::HashMap::{0}::new]: forward function -/ +/- [hashmap::{hashmap::HashMap<T>}::new]: forward function + Source: 'src/hashmap.rs', lines 75:4-75:24 -/ def HashMap.new (T : Type) : Result (HashMap T) := - HashMap.new_with_capacity T (Usize.ofInt 32) (Usize.ofInt 4) (Usize.ofInt 5) + HashMap.new_with_capacity T 32#usize 4#usize 5#usize -/- [hashmap::HashMap::{0}::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: merged forward/backward function + (there is a single backward function, and the forward function returns ()) + Source: 'src/hashmap.rs', lines 80:4-88:5 -/ divergent def HashMap.clear_loop - (T : Type) (slots : Vec (List T)) (i : Usize) : Result (Vec (List T)) := - let i0 := Vec.len (List T) slots + (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 then do - let i1 ← i + (Usize.ofInt 1) - let slots0 ← Vec.index_mut_back (List T) slots i List.Nil + 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 else Result.ret slots -/- [hashmap::HashMap::{0}::clear]: merged forward/backward function - (there is a single backward function, and the forward function returns ()) -/ +/- [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 -/ def HashMap.clear (T : Type) (self : HashMap T) : Result (HashMap T) := do - let v ← HashMap.clear_loop T self.slots (Usize.ofInt 0) - Result.ret { self with num_entries := (Usize.ofInt 0), slots := v } + let v ← HashMap.clear_loop T self.slots 0#usize + Result.ret { self with num_entries := 0#usize, slots := v } -/- [hashmap::HashMap::{0}::len]: forward function -/ +/- [hashmap::{hashmap::HashMap<T>}::len]: forward function + 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::{0}::insert_in_list]: loop 0: forward function -/ +/- [hashmap::{hashmap::HashMap<T>}::insert_in_list]: loop 0: forward function + 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 @@ -83,12 +101,14 @@ divergent def HashMap.insert_in_list_loop else HashMap.insert_in_list_loop T key value tl | List.Nil => Result.ret true -/- [hashmap::HashMap::{0}::insert_in_list]: forward function -/ +/- [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::{0}::insert_in_list]: loop 0: backward function 0 -/ +/- [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) := match ls with @@ -102,42 +122,50 @@ divergent def HashMap.insert_in_list_loop_back | List.Nil => let l := List.Nil Result.ret (List.Cons key value l) -/- [hashmap::HashMap::{0}::insert_in_list]: backward function 0 -/ +/- [hashmap::{hashmap::HashMap<T>}::insert_in_list]: backward function 0 + 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 -/- [hashmap::HashMap::{0}::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]: merged forward/backward function + (there is a single backward function, and the forward function returns ()) + 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 := Vec.len (List T) self.slots + let i := alloc.vec.Vec.len (List T) self.slots let hash_mod ← hash % i - let l ← Vec.index_mut (List T) self.slots hash_mod + 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 + (Usize.ofInt 1) + let i0 ← self.num_entries + 1#usize let l0 ← HashMap.insert_in_list_back T key value l - let v ← Vec.index_mut_back (List T) self.slots hash_mod l0 + 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 ← Vec.index_mut_back (List T) self.slots hash_mod l0 + 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 } -/- [core::num::u32::{8}::MAX] -/ -def core_num_u32_max_body : Result U32 := Result.ret (U32.ofInt 4294967295) -def core_num_u32_max_c : U32 := eval_global core_num_u32_max_body (by simp) - -/- [hashmap::HashMap::{0}::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: merged forward/backward function + (there is a single backward function, and the forward function returns ()) + 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 @@ -147,55 +175,64 @@ divergent def HashMap.move_elements_from_list_loop HashMap.move_elements_from_list_loop T ntable0 tl | List.Nil => Result.ret ntable -/- [hashmap::HashMap::{0}::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]: merged forward/backward function + (there is a single backward function, and the forward function returns ()) + 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::{0}::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: merged forward/backward function + (there is a single backward function, and the forward function returns ()) + Source: 'src/hashmap.rs', lines 171:4-180:5 -/ divergent def HashMap.move_elements_loop - (T : Type) (ntable : HashMap T) (slots : Vec (List T)) (i : Usize) : - Result ((HashMap T) × (Vec (List T))) + (T : Type) (ntable : HashMap T) (slots : alloc.vec.Vec (List T)) (i : Usize) + : + Result ((HashMap T) × (alloc.vec.Vec (List T))) := - let i0 := Vec.len (List T) slots + let i0 := alloc.vec.Vec.len (List T) slots if i < i0 then do - let l ← Vec.index_mut (List T) slots i - let ls := mem.replace (List T) l List.Nil + 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 + (Usize.ofInt 1) - let l0 := mem.replace_back (List T) l List.Nil - let slots0 ← Vec.index_mut_back (List T) slots i l0 + 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 else Result.ret (ntable, slots) -/- [hashmap::HashMap::{0}::move_elements]: merged forward/backward function - (there is a single backward function, and the forward function returns ()) -/ +/- [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 -/ def HashMap.move_elements - (T : Type) (ntable : HashMap T) (slots : Vec (List T)) (i : Usize) : - Result ((HashMap T) × (Vec (List T))) + (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 -/- [hashmap::HashMap::{0}::try_resize]: merged forward/backward function - (there is a single backward function, and the forward function returns ()) -/ +/- [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 -/ def HashMap.try_resize (T : Type) (self : HashMap T) : Result (HashMap T) := do - let max_usize ← Scalar.cast .Usize core_num_u32_max_c - let capacity := Vec.len (List T) self.slots - let n1 ← max_usize / (Usize.ofInt 2) + 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 * (Usize.ofInt 2) + let i2 ← capacity * 2#usize let ntable ← HashMap.new_with_capacity T i2 i i0 - let (ntable0, _) ← - HashMap.move_elements T ntable self.slots (Usize.ofInt 0) + let (ntable0, _) ← HashMap.move_elements T ntable self.slots 0#usize Result.ret { ntable0 @@ -204,8 +241,9 @@ def HashMap.try_resize (T : Type) (self : HashMap T) : Result (HashMap T) := } else Result.ret { self with max_load_factor := (i, i0) } -/- [hashmap::HashMap::{0}::insert]: merged forward/backward function - (there is a single backward function, and the forward function returns ()) -/ +/- [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 -/ def HashMap.insert (T : Type) (self : HashMap T) (key : Usize) (value : T) : Result (HashMap T) @@ -217,7 +255,8 @@ def HashMap.insert then HashMap.try_resize T self0 else Result.ret self0 -/- [hashmap::HashMap::{0}::contains_key_in_list]: loop 0: forward function -/ +/- [hashmap::{hashmap::HashMap<T>}::contains_key_in_list]: loop 0: forward function + 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 @@ -227,22 +266,28 @@ divergent def HashMap.contains_key_in_list_loop else HashMap.contains_key_in_list_loop T key tl | List.Nil => Result.ret false -/- [hashmap::HashMap::{0}::contains_key_in_list]: forward function -/ +/- [hashmap::{hashmap::HashMap<T>}::contains_key_in_list]: forward function + 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::{0}::contains_key]: forward function -/ +/- [hashmap::{hashmap::HashMap<T>}::contains_key]: forward function + 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 := Vec.len (List T) self.slots + let i := alloc.vec.Vec.len (List T) self.slots let hash_mod ← hash % i - let l ← Vec.index_shared (List T) self.slots hash_mod + 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::{0}::get_in_list]: loop 0: forward function -/ +/- [hashmap::{hashmap::HashMap<T>}::get_in_list]: loop 0: forward function + 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 := match ls with @@ -250,22 +295,28 @@ divergent def HashMap.get_in_list_loop if ckey = key then Result.ret cvalue else HashMap.get_in_list_loop T key tl - | List.Nil => Result.fail Error.panic + | List.Nil => Result.fail .panic -/- [hashmap::HashMap::{0}::get_in_list]: forward function -/ +/- [hashmap::{hashmap::HashMap<T>}::get_in_list]: forward function + 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::{0}::get]: forward function -/ +/- [hashmap::{hashmap::HashMap<T>}::get]: forward function + 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 := Vec.len (List T) self.slots + let i := alloc.vec.Vec.len (List T) self.slots let hash_mod ← hash % i - let l ← Vec.index_shared (List T) self.slots hash_mod + 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::{0}::get_mut_in_list]: loop 0: forward function -/ +/- [hashmap::{hashmap::HashMap<T>}::get_mut_in_list]: loop 0: forward function + 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 @@ -273,178 +324,204 @@ divergent def HashMap.get_mut_in_list_loop if ckey = key then Result.ret cvalue else HashMap.get_mut_in_list_loop T tl key - | List.Nil => Result.fail Error.panic + | List.Nil => Result.fail .panic -/- [hashmap::HashMap::{0}::get_mut_in_list]: forward function -/ +/- [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::{0}::get_mut_in_list]: loop 0: backward function 0 -/ +/- [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) (ret0 : T) : Result (List T) := + (T : Type) (ls : List T) (key : Usize) (ret : T) : Result (List T) := match ls with | List.Cons ckey cvalue tl => if ckey = key - then Result.ret (List.Cons ckey ret0 tl) + then Result.ret (List.Cons ckey ret tl) else do - let tl0 ← HashMap.get_mut_in_list_loop_back T tl key ret0 + let tl0 ← HashMap.get_mut_in_list_loop_back T tl key ret Result.ret (List.Cons ckey cvalue tl0) - | List.Nil => Result.fail Error.panic + | List.Nil => Result.fail .panic -/- [hashmap::HashMap::{0}::get_mut_in_list]: backward function 0 -/ +/- [hashmap::{hashmap::HashMap<T>}::get_mut_in_list]: backward function 0 + Source: 'src/hashmap.rs', lines 245:4-245:86 -/ def HashMap.get_mut_in_list_back - (T : Type) (ls : List T) (key : Usize) (ret0 : T) : Result (List T) := - HashMap.get_mut_in_list_loop_back T ls key ret0 + (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::{0}::get_mut]: forward function -/ +/- [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 := do let hash ← hash_key key - let i := Vec.len (List T) self.slots + let i := alloc.vec.Vec.len (List T) self.slots let hash_mod ← hash % i - let l ← Vec.index_mut (List T) self.slots hash_mod + 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 -/- [hashmap::HashMap::{0}::get_mut]: backward function 0 -/ +/- [hashmap::{hashmap::HashMap<T>}::get_mut]: backward function 0 + Source: 'src/hashmap.rs', lines 257:4-257:67 -/ def HashMap.get_mut_back - (T : Type) (self : HashMap T) (key : Usize) (ret0 : T) : - Result (HashMap T) - := + (T : Type) (self : HashMap T) (key : Usize) (ret : T) : Result (HashMap T) := do let hash ← hash_key key - let i := Vec.len (List T) self.slots + let i := alloc.vec.Vec.len (List T) self.slots let hash_mod ← hash % i - let l ← Vec.index_mut (List T) self.slots hash_mod - let l0 ← HashMap.get_mut_in_list_back T l key ret0 - let v ← Vec.index_mut_back (List T) self.slots hash_mod l0 + 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::{0}::remove_from_list]: loop 0: forward function -/ +/- [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 := 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 (Option.some cvalue) - | List.Nil => Result.fail Error.panic + | 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 Option.none + | List.Nil => Result.ret none -/- [hashmap::HashMap::{0}::remove_from_list]: forward function -/ +/- [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 -/- [hashmap::HashMap::{0}::remove_from_list]: loop 0: backward function 1 -/ +/- [hashmap::{hashmap::HashMap<T>}::remove_from_list]: loop 0: backward function 1 + 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) := match ls with | List.Cons ckey t tl => if ckey = key then - let mv_ls := 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.Nil => Result.fail Error.panic + | 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 -/- [hashmap::HashMap::{0}::remove_from_list]: backward function 1 -/ +/- [hashmap::{hashmap::HashMap<T>}::remove_from_list]: backward function 1 + 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 -/- [hashmap::HashMap::{0}::remove]: forward function -/ +/- [hashmap::{hashmap::HashMap<T>}::remove]: forward function + 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 := Vec.len (List T) self.slots + let i := alloc.vec.Vec.len (List T) self.slots let hash_mod ← hash % i - let l ← Vec.index_mut (List T) self.slots hash_mod + 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 - | Option.none => Result.ret Option.none - | Option.some x0 => - do - let _ ← self.num_entries - (Usize.ofInt 1) - Result.ret (Option.some x0) + | none => Result.ret none + | some x0 => do + let _ ← self.num_entries - 1#usize + Result.ret (some x0) -/- [hashmap::HashMap::{0}::remove]: backward function 0 -/ +/- [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) := do let hash ← hash_key key - let i := Vec.len (List T) self.slots + let i := alloc.vec.Vec.len (List T) self.slots let hash_mod ← hash % i - let l ← Vec.index_mut (List T) self.slots hash_mod + 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 - | Option.none => + | none => do let l0 ← HashMap.remove_from_list_back T key l - let v ← Vec.index_mut_back (List T) self.slots hash_mod l0 + 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 } - | Option.some x0 => + | some x0 => do - let i0 ← self.num_entries - (Usize.ofInt 1) + let i0 ← self.num_entries - 1#usize let l0 ← HashMap.remove_from_list_back T key l - let v ← Vec.index_mut_back (List T) self.slots hash_mod l0 + 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 -/ +/- [hashmap::test1]: forward function + 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 (Usize.ofInt 0) (U64.ofInt 42) - let hm1 ← HashMap.insert U64 hm0 (Usize.ofInt 128) (U64.ofInt 18) - let hm2 ← HashMap.insert U64 hm1 (Usize.ofInt 1024) (U64.ofInt 138) - let hm3 ← HashMap.insert U64 hm2 (Usize.ofInt 1056) (U64.ofInt 256) - let i ← HashMap.get U64 hm3 (Usize.ofInt 128) - if not (i = (U64.ofInt 18)) - then Result.fail Error.panic + 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) + then Result.fail .panic else do - let hm4 ← - HashMap.get_mut_back U64 hm3 (Usize.ofInt 1024) (U64.ofInt 56) - let i0 ← HashMap.get U64 hm4 (Usize.ofInt 1024) - if not (i0 = (U64.ofInt 56)) - then Result.fail Error.panic + 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) + then Result.fail .panic else do - let x ← HashMap.remove U64 hm4 (Usize.ofInt 1024) + let x ← HashMap.remove U64 hm4 1024#usize match x with - | Option.none => Result.fail Error.panic - | Option.some x0 => - if not (x0 = (U64.ofInt 56)) - then Result.fail Error.panic + | none => Result.fail .panic + | some x0 => + if not (x0 = 56#u64) + then Result.fail .panic else do - let hm5 ← HashMap.remove_back U64 hm4 (Usize.ofInt 1024) - let i1 ← HashMap.get U64 hm5 (Usize.ofInt 0) - if not (i1 = (U64.ofInt 42)) - then Result.fail Error.panic + 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 (Usize.ofInt 128) - if not (i2 = (U64.ofInt 18)) - then Result.fail Error.panic + 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 (Usize.ofInt 1056) - if not (i3 = (U64.ofInt 256)) - then Result.fail Error.panic + let i3 ← HashMap.get U64 hm5 1056#usize + if not (i3 = 256#u64) + then Result.fail .panic else Result.ret () -/- Unit test for [hashmap::test1] -/ -#assert (test1 == .ret ()) - end hashmap diff --git a/tests/lean/Hashmap/Properties.lean b/tests/lean/Hashmap/Properties.lean index fe00ab14..e79c422d 100644 --- a/tests/lean/Hashmap/Properties.lean +++ b/tests/lean/Hashmap/Properties.lean @@ -157,7 +157,7 @@ instance : Inhabited (List α) where def slots_s_inv (s : Core.List (List α)) : Prop := ∀ (i : Int), 0 ≤ i → i < s.len → slot_t_inv s.len i (s.index i) -def slots_t_inv (s : Vec (List α)) : Prop := +def slots_t_inv (s : alloc.vec.Vec (List α)) : Prop := slots_s_inv s.v @[simp] @@ -302,20 +302,19 @@ theorem insert_no_resize_spec {α : Type} (hm : HashMap α) (key : Usize) (value | none => nhm.len_s = hm.len_s + 1 | some _ => nhm.len_s = hm.len_s) := by rw [insert_no_resize] - simp only [hash_key, bind_tc_ret] -- TODO: annoying - have _ : (Vec.len (List α) hm.slots).val ≠ 0 := by checkpoint + -- Simplify. Note that this also simplifies some function calls, like array index + simp [hash_key, bind_tc_ret] + have _ : (alloc.vec.Vec.len (List α) hm.slots).val ≠ 0 := by intro simp_all [inv] - progress keep _ as ⟨ hash_mod, hhm ⟩ - have _ : 0 ≤ hash_mod.val := by checkpoint scalar_tac - have _ : hash_mod.val < Vec.length hm.slots := by + progress as ⟨ hash_mod, hhm ⟩ + have _ : 0 ≤ hash_mod.val := by scalar_tac + have _ : hash_mod.val < alloc.vec.Vec.length hm.slots := by have : 0 < hm.slots.val.len := by simp [inv] at hinv simp [hinv] -- TODO: we want to automate that simp [*, Int.emod_lt_of_pos] - -- TODO: change the spec of Vec.index_mut to introduce a let-binding. - -- or: make progress introduce the let-binding by itself (this is clearer) progress as ⟨ l, h_leq ⟩ -- TODO: make progress use the names written in the goal progress as ⟨ inserted ⟩ @@ -376,7 +375,7 @@ theorem insert_no_resize_spec {α : Type} (hm : HashMap α) (key : Usize) (value -- TODO: we want to automate this simp apply Int.emod_nonneg k.val hvnz - have _ : k_hash_mod < Vec.length hm.slots := by + have _ : k_hash_mod < alloc.vec.Vec.length hm.slots := by -- TODO: we want to automate this simp have h := Int.emod_lt_of_pos k.val hvpos diff --git a/tests/lean/Hashmap/Types.lean b/tests/lean/Hashmap/Types.lean index 6455798d..fa454123 100644 --- a/tests/lean/Hashmap/Types.lean +++ b/tests/lean/Hashmap/Types.lean @@ -5,16 +5,18 @@ open Primitives namespace hashmap -/- [hashmap::List] -/ +/- [hashmap::List] + Source: 'src/hashmap.rs', lines 19:0-19:16 -/ inductive List (T : Type) := | Cons : Usize → T → List T → List T | Nil : List T -/- [hashmap::HashMap] -/ +/- [hashmap::HashMap] + Source: 'src/hashmap.rs', lines 35:0-35:21 -/ structure HashMap (T : Type) where num_entries : Usize max_load_factor : (Usize × Usize) max_load : Usize - slots : Vec (List T) + slots : alloc.vec.Vec (List T) end hashmap diff --git a/tests/lean/HashmapMain/Funs.lean b/tests/lean/HashmapMain/Funs.lean index aec957ec..f87ad355 100644 --- a/tests/lean/HashmapMain/Funs.lean +++ b/tests/lean/HashmapMain/Funs.lean @@ -7,83 +7,93 @@ open Primitives namespace hashmap_main -/- [hashmap_main::hashmap::hash_key]: forward function -/ +/- [hashmap_main::hashmap::hash_key]: forward function + Source: 'src/hashmap.rs', lines 27:0-27:32 -/ def hashmap.hash_key (k : Usize) : Result Usize := Result.ret k -/- [hashmap_main::hashmap::HashMap::{0}::allocate_slots]: loop 0: forward function -/ +/- [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::allocate_slots]: loop 0: forward function + Source: 'src/hashmap.rs', lines 50:4-56:5 -/ divergent def hashmap.HashMap.allocate_slots_loop - (T : Type) (slots : Vec (hashmap.List T)) (n : Usize) : - Result (Vec (hashmap.List T)) + (T : Type) (slots : alloc.vec.Vec (hashmap.List T)) (n : Usize) : + Result (alloc.vec.Vec (hashmap.List T)) := - if n > (Usize.ofInt 0) + if n > 0#usize then do - let slots0 ← Vec.push (hashmap.List T) slots hashmap.List.Nil - let n0 ← n - (Usize.ofInt 1) + 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 else Result.ret slots -/- [hashmap_main::hashmap::HashMap::{0}::allocate_slots]: forward function -/ +/- [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::allocate_slots]: forward function + Source: 'src/hashmap.rs', lines 50:4-50:76 -/ def hashmap.HashMap.allocate_slots - (T : Type) (slots : Vec (hashmap.List T)) (n : Usize) : - Result (Vec (hashmap.List T)) + (T : Type) (slots : alloc.vec.Vec (hashmap.List T)) (n : Usize) : + Result (alloc.vec.Vec (hashmap.List T)) := hashmap.HashMap.allocate_slots_loop T slots n -/- [hashmap_main::hashmap::HashMap::{0}::new_with_capacity]: forward function -/ +/- [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::new_with_capacity]: forward function + Source: 'src/hashmap.rs', lines 59:4-63:13 -/ def hashmap.HashMap.new_with_capacity (T : Type) (capacity : Usize) (max_load_dividend : Usize) (max_load_divisor : Usize) : Result (hashmap.HashMap T) := do - let v := Vec.new (hashmap.List T) + 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 := (Usize.ofInt 0), + num_entries := 0#usize, max_load_factor := (max_load_dividend, max_load_divisor), max_load := i0, slots := slots } -/- [hashmap_main::hashmap::HashMap::{0}::new]: forward function -/ +/- [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::new]: forward function + 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 (Usize.ofInt 32) (Usize.ofInt 4) - (Usize.ofInt 5) + hashmap.HashMap.new_with_capacity T 32#usize 4#usize 5#usize -/- [hashmap_main::hashmap::HashMap::{0}::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: merged forward/backward function + (there is a single backward function, and the forward function returns ()) + Source: 'src/hashmap.rs', lines 80:4-88:5 -/ divergent def hashmap.HashMap.clear_loop - (T : Type) (slots : Vec (hashmap.List T)) (i : Usize) : - Result (Vec (hashmap.List T)) + (T : Type) (slots : alloc.vec.Vec (hashmap.List T)) (i : Usize) : + Result (alloc.vec.Vec (hashmap.List T)) := - let i0 := Vec.len (hashmap.List T) slots + let i0 := alloc.vec.Vec.len (hashmap.List T) slots if i < i0 then do - let i1 ← i + (Usize.ofInt 1) + let i1 ← i + 1#usize let slots0 ← - Vec.index_mut_back (hashmap.List T) slots i hashmap.List.Nil + 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 else Result.ret slots -/- [hashmap_main::hashmap::HashMap::{0}::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]: merged forward/backward function + (there is a single backward function, and the forward function returns ()) + 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 (Usize.ofInt 0) - Result.ret { self with num_entries := (Usize.ofInt 0), slots := v } + let v ← hashmap.HashMap.clear_loop T self.slots 0#usize + Result.ret { self with num_entries := 0#usize, slots := v } -/- [hashmap_main::hashmap::HashMap::{0}::len]: forward function -/ +/- [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::len]: forward function + 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::{0}::insert_in_list]: loop 0: forward function -/ +/- [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::insert_in_list]: loop 0: forward function + 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 @@ -93,12 +103,14 @@ divergent def hashmap.HashMap.insert_in_list_loop else hashmap.HashMap.insert_in_list_loop T key value tl | hashmap.List.Nil => Result.ret true -/- [hashmap_main::hashmap::HashMap::{0}::insert_in_list]: forward function -/ +/- [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::{0}::insert_in_list]: loop 0: backward function 0 -/ +/- [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) @@ -115,44 +127,52 @@ divergent def hashmap.HashMap.insert_in_list_loop_back let l := hashmap.List.Nil Result.ret (hashmap.List.Cons key value l) -/- [hashmap_main::hashmap::HashMap::{0}::insert_in_list]: backward function 0 -/ +/- [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::insert_in_list]: backward function 0 + Source: 'src/hashmap.rs', lines 97:4-97:71 -/ def hashmap.HashMap.insert_in_list_back (T : Type) (key : Usize) (value : T) (ls : hashmap.List T) : Result (hashmap.List T) := hashmap.HashMap.insert_in_list_loop_back T key value ls -/- [hashmap_main::hashmap::HashMap::{0}::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]: merged forward/backward function + (there is a single backward function, and the forward function returns ()) + 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 := Vec.len (hashmap.List T) self.slots + let i := alloc.vec.Vec.len (hashmap.List T) self.slots let hash_mod ← hash % i - let l ← Vec.index_mut (hashmap.List T) self.slots hash_mod + 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 + (Usize.ofInt 1) + let i0 ← self.num_entries + 1#usize let l0 ← hashmap.HashMap.insert_in_list_back T key value l - let v ← Vec.index_mut_back (hashmap.List T) self.slots hash_mod l0 + 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 ← Vec.index_mut_back (hashmap.List T) self.slots hash_mod l0 + 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 } -/- [core::num::u32::{8}::MAX] -/ -def core_num_u32_max_body : Result U32 := Result.ret (U32.ofInt 4294967295) -def core_num_u32_max_c : U32 := eval_global core_num_u32_max_body (by simp) - -/- [hashmap_main::hashmap::HashMap::{0}::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: merged forward/backward function + (there is a single backward function, and the forward function returns ()) + 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) : Result (hashmap.HashMap T) @@ -164,60 +184,69 @@ divergent def hashmap.HashMap.move_elements_from_list_loop hashmap.HashMap.move_elements_from_list_loop T ntable0 tl | hashmap.List.Nil => Result.ret ntable -/- [hashmap_main::hashmap::HashMap::{0}::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]: merged forward/backward function + (there is a single backward function, and the forward function returns ()) + 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) : Result (hashmap.HashMap T) := hashmap.HashMap.move_elements_from_list_loop T ntable ls -/- [hashmap_main::hashmap::HashMap::{0}::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: merged forward/backward function + (there is a single backward function, and the forward function returns ()) + Source: 'src/hashmap.rs', lines 171:4-180:5 -/ divergent def hashmap.HashMap.move_elements_loop - (T : Type) (ntable : hashmap.HashMap T) (slots : Vec (hashmap.List T)) - (i : Usize) : - Result ((hashmap.HashMap T) × (Vec (hashmap.List T))) + (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 := Vec.len (hashmap.List T) slots + let i0 := alloc.vec.Vec.len (hashmap.List T) slots if i < i0 then do - let l ← Vec.index_mut (hashmap.List T) slots i - let ls := mem.replace (hashmap.List T) l hashmap.List.Nil + 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 + (Usize.ofInt 1) - let l0 := mem.replace_back (hashmap.List T) l hashmap.List.Nil - let slots0 ← Vec.index_mut_back (hashmap.List T) slots i l0 + 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 else Result.ret (ntable, slots) -/- [hashmap_main::hashmap::HashMap::{0}::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]: merged forward/backward function + (there is a single backward function, and the forward function returns ()) + Source: 'src/hashmap.rs', lines 171:4-171:95 -/ def hashmap.HashMap.move_elements - (T : Type) (ntable : hashmap.HashMap T) (slots : Vec (hashmap.List T)) - (i : Usize) : - Result ((hashmap.HashMap T) × (Vec (hashmap.List T))) + (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 -/- [hashmap_main::hashmap::HashMap::{0}::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]: merged forward/backward function + (there is a single backward function, and the forward function returns ()) + 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_num_u32_max_c - let capacity := Vec.len (hashmap.List T) self.slots - let n1 ← max_usize / (Usize.ofInt 2) + 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 * (Usize.ofInt 2) + 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 (Usize.ofInt 0) + hashmap.HashMap.move_elements T ntable self.slots 0#usize Result.ret { ntable0 @@ -226,8 +255,9 @@ def hashmap.HashMap.try_resize } else Result.ret { self with max_load_factor := (i, i0) } -/- [hashmap_main::hashmap::HashMap::{0}::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]: merged forward/backward function + (there is a single backward function, and the forward function returns ()) + 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) @@ -239,7 +269,8 @@ def hashmap.HashMap.insert then hashmap.HashMap.try_resize T self0 else Result.ret self0 -/- [hashmap_main::hashmap::HashMap::{0}::contains_key_in_list]: loop 0: forward function -/ +/- [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 -/ divergent def hashmap.HashMap.contains_key_in_list_loop (T : Type) (key : Usize) (ls : hashmap.List T) : Result Bool := match ls with @@ -249,22 +280,28 @@ divergent def hashmap.HashMap.contains_key_in_list_loop else hashmap.HashMap.contains_key_in_list_loop T key tl | hashmap.List.Nil => Result.ret false -/- [hashmap_main::hashmap::HashMap::{0}::contains_key_in_list]: forward function -/ +/- [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::contains_key_in_list]: forward function + 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::{0}::contains_key]: forward function -/ +/- [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::contains_key]: forward function + 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 := Vec.len (hashmap.List T) self.slots + let i := alloc.vec.Vec.len (hashmap.List T) self.slots let hash_mod ← hash % i - let l ← Vec.index_shared (hashmap.List T) self.slots hash_mod + 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::{0}::get_in_list]: loop 0: forward function -/ +/- [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::get_in_list]: loop 0: forward function + 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 := match ls with @@ -272,24 +309,30 @@ divergent def hashmap.HashMap.get_in_list_loop if ckey = key then Result.ret cvalue else hashmap.HashMap.get_in_list_loop T key tl - | hashmap.List.Nil => Result.fail Error.panic + | hashmap.List.Nil => Result.fail .panic -/- [hashmap_main::hashmap::HashMap::{0}::get_in_list]: forward function -/ +/- [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::get_in_list]: forward function + 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::{0}::get]: forward function -/ +/- [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::get]: forward function + 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 := Vec.len (hashmap.List T) self.slots + let i := alloc.vec.Vec.len (hashmap.List T) self.slots let hash_mod ← hash % i - let l ← Vec.index_shared (hashmap.List T) self.slots hash_mod + 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::{0}::get_mut_in_list]: loop 0: forward function -/ +/- [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 -/ divergent def hashmap.HashMap.get_mut_in_list_loop (T : Type) (ls : hashmap.List T) (key : Usize) : Result T := match ls with @@ -297,60 +340,75 @@ divergent def hashmap.HashMap.get_mut_in_list_loop if ckey = key then Result.ret cvalue else hashmap.HashMap.get_mut_in_list_loop T tl key - | hashmap.List.Nil => Result.fail Error.panic + | hashmap.List.Nil => Result.fail .panic -/- [hashmap_main::hashmap::HashMap::{0}::get_mut_in_list]: forward function -/ +/- [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::{0}::get_mut_in_list]: loop 0: backward function 0 -/ +/- [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) (ret0 : T) : + (T : Type) (ls : hashmap.List T) (key : Usize) (ret : T) : Result (hashmap.List T) := match ls with | hashmap.List.Cons ckey cvalue tl => if ckey = key - then Result.ret (hashmap.List.Cons ckey ret0 tl) + then Result.ret (hashmap.List.Cons ckey ret tl) else do - let tl0 ← hashmap.HashMap.get_mut_in_list_loop_back T tl key ret0 + let tl0 ← hashmap.HashMap.get_mut_in_list_loop_back T tl key ret Result.ret (hashmap.List.Cons ckey cvalue tl0) - | hashmap.List.Nil => Result.fail Error.panic + | hashmap.List.Nil => Result.fail .panic -/- [hashmap_main::hashmap::HashMap::{0}::get_mut_in_list]: backward function 0 -/ +/- [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::get_mut_in_list]: backward function 0 + 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) (ret0 : T) : + (T : Type) (ls : hashmap.List T) (key : Usize) (ret : T) : Result (hashmap.List T) := - hashmap.HashMap.get_mut_in_list_loop_back T ls key ret0 + hashmap.HashMap.get_mut_in_list_loop_back T ls key ret -/- [hashmap_main::hashmap::HashMap::{0}::get_mut]: forward function -/ +/- [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 := Vec.len (hashmap.List T) self.slots + let i := alloc.vec.Vec.len (hashmap.List T) self.slots let hash_mod ← hash % i - let l ← Vec.index_mut (hashmap.List T) self.slots hash_mod + 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 -/- [hashmap_main::hashmap::HashMap::{0}::get_mut]: backward function 0 -/ +/- [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::get_mut]: backward function 0 + Source: 'src/hashmap.rs', lines 257:4-257:67 -/ def hashmap.HashMap.get_mut_back - (T : Type) (self : hashmap.HashMap T) (key : Usize) (ret0 : T) : + (T : Type) (self : hashmap.HashMap T) (key : Usize) (ret : T) : Result (hashmap.HashMap T) := do let hash ← hashmap.hash_key key - let i := Vec.len (hashmap.List T) self.slots + let i := alloc.vec.Vec.len (hashmap.List T) self.slots let hash_mod ← hash % i - let l ← Vec.index_mut (hashmap.List T) self.slots hash_mod - let l0 ← hashmap.HashMap.get_mut_in_list_back T l key ret0 - let v ← Vec.index_mut_back (hashmap.List T) self.slots hash_mod l0 + 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::{0}::remove_from_list]: loop 0: forward function -/ +/- [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 @@ -358,20 +416,22 @@ divergent def hashmap.HashMap.remove_from_list_loop if ckey = key then let mv_ls := - mem.replace (hashmap.List T) (hashmap.List.Cons ckey t tl) + 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 (Option.some cvalue) - | hashmap.List.Nil => Result.fail Error.panic + | 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 Option.none + | hashmap.List.Nil => Result.ret none -/- [hashmap_main::hashmap::HashMap::{0}::remove_from_list]: forward function -/ +/- [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 -/- [hashmap_main::hashmap::HashMap::{0}::remove_from_list]: loop 0: backward function 1 -/ +/- [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 -/ divergent def hashmap.HashMap.remove_from_list_loop_back (T : Type) (key : Usize) (ls : hashmap.List T) : Result (hashmap.List T) := match ls with @@ -379,115 +439,122 @@ divergent def hashmap.HashMap.remove_from_list_loop_back if ckey = key then let mv_ls := - mem.replace (hashmap.List T) (hashmap.List.Cons ckey t tl) + 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.Nil => Result.fail Error.panic + | 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 -/- [hashmap_main::hashmap::HashMap::{0}::remove_from_list]: backward function 1 -/ +/- [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::remove_from_list]: backward function 1 + 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 -/- [hashmap_main::hashmap::HashMap::{0}::remove]: forward function -/ +/- [hashmap_main::hashmap::{hashmap_main::hashmap::HashMap<T>}::remove]: forward function + 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 := Vec.len (hashmap.List T) self.slots + let i := alloc.vec.Vec.len (hashmap.List T) self.slots let hash_mod ← hash % i - let l ← Vec.index_mut (hashmap.List T) self.slots hash_mod + 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 - | Option.none => Result.ret Option.none - | Option.some x0 => - do - let _ ← self.num_entries - (Usize.ofInt 1) - Result.ret (Option.some x0) + | none => Result.ret none + | some x0 => do + let _ ← self.num_entries - 1#usize + Result.ret (some x0) -/- [hashmap_main::hashmap::HashMap::{0}::remove]: backward function 0 -/ +/- [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) := do let hash ← hashmap.hash_key key - let i := Vec.len (hashmap.List T) self.slots + let i := alloc.vec.Vec.len (hashmap.List T) self.slots let hash_mod ← hash % i - let l ← Vec.index_mut (hashmap.List T) self.slots hash_mod + 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 - | Option.none => + | none => do let l0 ← hashmap.HashMap.remove_from_list_back T key l - let v ← Vec.index_mut_back (hashmap.List T) self.slots hash_mod l0 + 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 } - | Option.some x0 => + | some x0 => do - let i0 ← self.num_entries - (Usize.ofInt 1) + let i0 ← self.num_entries - 1#usize let l0 ← hashmap.HashMap.remove_from_list_back T key l - let v ← Vec.index_mut_back (hashmap.List T) self.slots hash_mod l0 + 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 -/ +/- [hashmap_main::hashmap::test1]: forward function + 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 (Usize.ofInt 0) (U64.ofInt 42) - let hm1 ← hashmap.HashMap.insert U64 hm0 (Usize.ofInt 128) (U64.ofInt 18) - let hm2 ← - hashmap.HashMap.insert U64 hm1 (Usize.ofInt 1024) (U64.ofInt 138) - let hm3 ← - hashmap.HashMap.insert U64 hm2 (Usize.ofInt 1056) (U64.ofInt 256) - let i ← hashmap.HashMap.get U64 hm3 (Usize.ofInt 128) - if not (i = (U64.ofInt 18)) - then Result.fail Error.panic + 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) + then Result.fail .panic else do - let hm4 ← - hashmap.HashMap.get_mut_back U64 hm3 (Usize.ofInt 1024) - (U64.ofInt 56) - let i0 ← hashmap.HashMap.get U64 hm4 (Usize.ofInt 1024) - if not (i0 = (U64.ofInt 56)) - then Result.fail Error.panic + 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) + then Result.fail .panic else do - let x ← hashmap.HashMap.remove U64 hm4 (Usize.ofInt 1024) + let x ← hashmap.HashMap.remove U64 hm4 1024#usize match x with - | Option.none => Result.fail Error.panic - | Option.some x0 => - if not (x0 = (U64.ofInt 56)) - then Result.fail Error.panic + | none => Result.fail .panic + | some x0 => + if not (x0 = 56#u64) + then Result.fail .panic else do - let hm5 ← - hashmap.HashMap.remove_back U64 hm4 (Usize.ofInt 1024) - let i1 ← hashmap.HashMap.get U64 hm5 (Usize.ofInt 0) - if not (i1 = (U64.ofInt 42)) - then Result.fail Error.panic + 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 (Usize.ofInt 128) - if not (i2 = (U64.ofInt 18)) - then Result.fail Error.panic + 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 (Usize.ofInt 1056) - if not (i3 = (U64.ofInt 256)) - then Result.fail Error.panic + let i3 ← hashmap.HashMap.get U64 hm5 1056#usize + if not (i3 = 256#u64) + then Result.fail .panic else Result.ret () -/- Unit test for [hashmap_main::hashmap::test1] -/ -#assert (hashmap.test1 == .ret ()) - -/- [hashmap_main::insert_on_disk]: forward function -/ +/- [hashmap_main::insert_on_disk]: forward function + Source: 'src/hashmap_main.rs', lines 7:0-7:43 -/ def insert_on_disk (key : Usize) (value : U64) (st : State) : Result (State × Unit) := do @@ -496,11 +563,9 @@ def insert_on_disk let (st1, _) ← hashmap_utils.serialize hm0 st0 Result.ret (st1, ()) -/- [hashmap_main::main]: forward function -/ +/- [hashmap_main::main]: forward function + Source: 'src/hashmap_main.rs', lines 16:0-16:13 -/ def main : Result Unit := Result.ret () -/- Unit test for [hashmap_main::main] -/ -#assert (main == .ret ()) - end hashmap_main diff --git a/tests/lean/HashmapMain/FunsExternal_Template.lean b/tests/lean/HashmapMain/FunsExternal_Template.lean index f537fc8f..02ca5b0e 100644 --- a/tests/lean/HashmapMain/FunsExternal_Template.lean +++ b/tests/lean/HashmapMain/FunsExternal_Template.lean @@ -6,11 +6,13 @@ import HashmapMain.Types open Primitives open hashmap_main -/- [hashmap_main::hashmap_utils::deserialize]: forward function -/ +/- [hashmap_main::hashmap_utils::deserialize]: forward function + 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]: forward function + 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/HashmapMain/Types.lean b/tests/lean/HashmapMain/Types.lean index 2b5cbd6c..ae9ac999 100644 --- a/tests/lean/HashmapMain/Types.lean +++ b/tests/lean/HashmapMain/Types.lean @@ -1,23 +1,23 @@ -- THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS -- [hashmap_main]: type definitions import Base +import HashmapMain.TypesExternal open Primitives namespace hashmap_main -/- [hashmap_main::hashmap::List] -/ +/- [hashmap_main::hashmap::List] + Source: 'src/hashmap.rs', lines 19:0-19:16 -/ inductive hashmap.List (T : Type) := | Cons : Usize → T → hashmap.List T → hashmap.List T | Nil : hashmap.List T -/- [hashmap_main::hashmap::HashMap] -/ +/- [hashmap_main::hashmap::HashMap] + Source: 'src/hashmap.rs', lines 35:0-35:21 -/ structure hashmap.HashMap (T : Type) where num_entries : Usize max_load_factor : (Usize × Usize) max_load : Usize - slots : Vec (hashmap.List T) - -/- The state type used in the state-error monad -/ -axiom State : Type + slots : alloc.vec.Vec (hashmap.List T) end hashmap_main diff --git a/tests/lean/HashmapMain/TypesExternal.lean b/tests/lean/HashmapMain/TypesExternal.lean new file mode 100644 index 00000000..4e1cdbe9 --- /dev/null +++ b/tests/lean/HashmapMain/TypesExternal.lean @@ -0,0 +1,7 @@ +-- [hashmap_main]: external types. +import Base +open Primitives + +/- The state type used in the state-error monad -/ +axiom State : Type + diff --git a/tests/lean/HashmapMain/TypesExternal_Template.lean b/tests/lean/HashmapMain/TypesExternal_Template.lean new file mode 100644 index 00000000..cfa8bbb1 --- /dev/null +++ b/tests/lean/HashmapMain/TypesExternal_Template.lean @@ -0,0 +1,9 @@ +-- THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS +-- [hashmap_main]: external types. +-- This is a template file: rename it to "TypesExternal.lean" and fill the holes. +import Base +open Primitives + +/- The state type used in the state-error monad -/ +axiom State : Type + diff --git a/tests/lean/Loops.lean b/tests/lean/Loops.lean index 60c73776..08aa08a5 100644 --- a/tests/lean/Loops.lean +++ b/tests/lean/Loops.lean @@ -1 +1,686 @@ -import Loops.Funs +-- THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS +-- [loops] +import Base +open Primitives + +namespace loops + +/- [loops::sum]: loop 0: forward function + 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 + else s * 2#u32 + +/- [loops::sum]: forward function + 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 + 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 + else ms * 2#u32 + +/- [loops::sum_with_mut_borrows]: forward function + 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 + 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 + else s * 2#u32 + +/- [loops::sum_with_shared_borrows]: forward function + 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 ()) + 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 + 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 + else Result.ret 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 -/ +def clear (v : alloc.vec.Vec U32) : Result (alloc.vec.Vec U32) := + clear_loop v 0#usize + +/- [loops::List] + Source: 'src/loops.rs', lines 60:0-60:16 -/ +inductive List (T : Type) := +| Cons : T → List T → List T +| Nil : List T + +/- [loops::list_mem]: loop 0: forward function + Source: 'src/loops.rs', lines 66:0-75:1 -/ +divergent def list_mem_loop (x : U32) (ls : List U32) : Result Bool := + match ls with + | List.Cons y tl => if y = x + then Result.ret true + else list_mem_loop x tl + | List.Nil => Result.ret false + +/- [loops::list_mem]: forward function + 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 + 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) := + match ls with + | List.Cons x tl => + if i = 0#u32 + then Result.ret (List.Cons ret tl) + 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) + | List.Nil => Result.fail .panic + +/- [loops::list_nth_mut_loop]: backward function 0 + 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 + +/- [loops::list_nth_shared_loop]: loop 0: forward function + 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 := + match ls with + | List.Cons x tl => + if i = 0#u32 + then Result.ret x + else do + let i0 ← i - 1#u32 + list_nth_shared_loop_loop T tl i0 + | List.Nil => Result.fail .panic + +/- [loops::list_nth_shared_loop]: forward function + 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 + 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) := + match ls with + | List.Cons y tl => + if y = x + then Result.ret (List.Cons ret tl) + else + do + let tl0 ← get_elem_mut_loop_back x tl ret + Result.ret (List.Cons y tl0) + | List.Nil => Result.fail .panic + +/- [loops::get_elem_mut]: backward function 0 + 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)) + := + 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 + (core.slice.index.SliceIndexUsizeSliceTInst (List Usize)) slots 0#usize + l0 + +/- [loops::get_elem_shared]: loop 0: forward function + Source: 'src/loops.rs', lines 119:0-133:1 -/ +divergent def get_elem_shared_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_shared_loop x tl + | List.Nil => Result.fail .panic + +/- [loops::get_elem_shared]: forward function + 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 + +/- [loops::id_mut]: backward function 0 + 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 + +/- [loops::id_shared]: forward function + 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 + 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 := + 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) + 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) + | List.Nil => Result.fail .panic + +/- [loops::list_nth_mut_loop_with_id]: backward function 0 + 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) := + 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 + 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 := + match ls with + | List.Cons x tl => + 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 + | List.Nil => Result.fail .panic + +/- [loops::list_nth_shared_loop_with_id]: forward function + 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 + +/- [loops::list_nth_mut_loop_pair]: loop 0: forward function + 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) + := + 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) + 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) + | List.Nil => Result.fail .panic + | List.Nil => Result.fail .panic + +/- [loops::list_nth_mut_loop_pair]: backward function 0 + 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) + := + 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 -/ +divergent def list_nth_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_shared_loop_pair_loop T tl0 tl1 i0 + | List.Nil => Result.fail .panic + | List.Nil => Result.fail .panic + +/- [loops::list_nth_shared_loop_pair]: forward function + 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 + 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)) + := + 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) + 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) + | List.Nil => Result.fail .panic + | List.Nil => Result.fail .panic + +/- [loops::list_nth_mut_loop_pair_merge]: backward function 0 + 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)) + := + 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 -/ +divergent def list_nth_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_shared_loop_pair_merge_loop T tl0 tl1 i0 + | List.Nil => Result.fail .panic + | List.Nil => Result.fail .panic + +/- [loops::list_nth_shared_loop_pair_merge]: forward function + 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 + 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) + := + 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) + 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) + | List.Nil => Result.fail .panic + | List.Nil => Result.fail .panic + +/- [loops::list_nth_mut_shared_loop_pair]: backward function 0 + 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) + := + 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 -/ +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) + := + 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) + 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) + | List.Nil => Result.fail .panic + | List.Nil => Result.fail .panic + +/- [loops::list_nth_mut_shared_loop_pair_merge]: backward function 0 + 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) + := + 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 -/ +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) + := + 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_shared_mut_loop_pair_loop_back T tl0 tl1 i0 ret + Result.ret (List.Cons x1 tl10) + | List.Nil => Result.fail .panic + | List.Nil => Result.fail .panic + +/- [loops::list_nth_shared_mut_loop_pair]: backward function 1 + 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) + := + 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 -/ +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) + := + 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_shared_mut_loop_pair_merge_loop_back T tl0 tl1 i0 ret + Result.ret (List.Cons x1 tl10) + | List.Nil => Result.fail .panic + | List.Nil => Result.fail .panic + +/- [loops::list_nth_shared_mut_loop_pair_merge]: backward function 0 + 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) + := + list_nth_shared_mut_loop_pair_merge_loop_back T ls0 ls1 i ret + +end loops diff --git a/tests/lean/Loops/Funs.lean b/tests/lean/Loops/Funs.lean deleted file mode 100644 index 5fbe200f..00000000 --- a/tests/lean/Loops/Funs.lean +++ /dev/null @@ -1,612 +0,0 @@ --- THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS --- [loops]: function definitions -import Base -import Loops.Types -open Primitives - -namespace loops - -/- [loops::sum]: loop 0: forward function -/ -divergent def sum_loop (max : U32) (i : U32) (s : U32) : Result U32 := - if i < max - then do - let s0 ← s + i - let i0 ← i + (U32.ofInt 1) - sum_loop max i0 s0 - else s * (U32.ofInt 2) - -/- [loops::sum]: forward function -/ -def sum (max : U32) : Result U32 := - sum_loop max (U32.ofInt 0) (U32.ofInt 0) - -/- [loops::sum_with_mut_borrows]: loop 0: forward function -/ -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 + (U32.ofInt 1) - sum_with_mut_borrows_loop max mi0 ms0 - else ms * (U32.ofInt 2) - -/- [loops::sum_with_mut_borrows]: forward function -/ -def sum_with_mut_borrows (max : U32) : Result U32 := - sum_with_mut_borrows_loop max (U32.ofInt 0) (U32.ofInt 0) - -/- [loops::sum_with_shared_borrows]: loop 0: forward function -/ -divergent def sum_with_shared_borrows_loop - (max : U32) (i : U32) (s : U32) : Result U32 := - if i < max - then - do - let i0 ← i + (U32.ofInt 1) - let s0 ← s + i0 - sum_with_shared_borrows_loop max i0 s0 - else s * (U32.ofInt 2) - -/- [loops::sum_with_shared_borrows]: forward function -/ -def sum_with_shared_borrows (max : U32) : Result U32 := - sum_with_shared_borrows_loop max (U32.ofInt 0) (U32.ofInt 0) - -/- [loops::clear]: loop 0: merged forward/backward function - (there is a single backward function, and the forward function returns ()) -/ -divergent def clear_loop (v : Vec U32) (i : Usize) : Result (Vec U32) := - let i0 := Vec.len U32 v - if i < i0 - then - do - let i1 ← i + (Usize.ofInt 1) - let v0 ← Vec.index_mut_back U32 v i (U32.ofInt 0) - clear_loop v0 i1 - else Result.ret v - -/- [loops::clear]: merged forward/backward function - (there is a single backward function, and the forward function returns ()) -/ -def clear (v : Vec U32) : Result (Vec U32) := - clear_loop v (Usize.ofInt 0) - -/- [loops::list_mem]: loop 0: forward function -/ -divergent def list_mem_loop (x : U32) (ls : List U32) : Result Bool := - match ls with - | List.Cons y tl => if y = x - then Result.ret true - else list_mem_loop x tl - | List.Nil => Result.ret false - -/- [loops::list_mem]: forward function -/ -def list_mem (x : U32) (ls : List U32) : Result Bool := - list_mem_loop x ls - -/- [loops::list_nth_mut_loop]: loop 0: forward function -/ -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 = (U32.ofInt 0) - then Result.ret x - else do - let i0 ← i - (U32.ofInt 1) - list_nth_mut_loop_loop T tl i0 - | List.Nil => Result.fail Error.panic - -/- [loops::list_nth_mut_loop]: forward function -/ -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 -/ -divergent def list_nth_mut_loop_loop_back - (T : Type) (ls : List T) (i : U32) (ret0 : T) : Result (List T) := - match ls with - | List.Cons x tl => - if i = (U32.ofInt 0) - then Result.ret (List.Cons ret0 tl) - else - do - let i0 ← i - (U32.ofInt 1) - let tl0 ← list_nth_mut_loop_loop_back T tl i0 ret0 - Result.ret (List.Cons x tl0) - | List.Nil => Result.fail Error.panic - -/- [loops::list_nth_mut_loop]: backward function 0 -/ -def list_nth_mut_loop_back - (T : Type) (ls : List T) (i : U32) (ret0 : T) : Result (List T) := - list_nth_mut_loop_loop_back T ls i ret0 - -/- [loops::list_nth_shared_loop]: loop 0: forward function -/ -divergent def list_nth_shared_loop_loop - (T : Type) (ls : List T) (i : U32) : Result T := - match ls with - | List.Cons x tl => - if i = (U32.ofInt 0) - then Result.ret x - else do - let i0 ← i - (U32.ofInt 1) - list_nth_shared_loop_loop T tl i0 - | List.Nil => Result.fail Error.panic - -/- [loops::list_nth_shared_loop]: forward function -/ -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 -/ -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 Error.panic - -/- [loops::get_elem_mut]: forward function -/ -def get_elem_mut (slots : Vec (List Usize)) (x : Usize) : Result Usize := - do - let l ← Vec.index_mut (List Usize) slots (Usize.ofInt 0) - get_elem_mut_loop x l - -/- [loops::get_elem_mut]: loop 0: backward function 0 -/ -divergent def get_elem_mut_loop_back - (x : Usize) (ls : List Usize) (ret0 : Usize) : Result (List Usize) := - match ls with - | List.Cons y tl => - if y = x - then Result.ret (List.Cons ret0 tl) - else - do - let tl0 ← get_elem_mut_loop_back x tl ret0 - Result.ret (List.Cons y tl0) - | List.Nil => Result.fail Error.panic - -/- [loops::get_elem_mut]: backward function 0 -/ -def get_elem_mut_back - (slots : Vec (List Usize)) (x : Usize) (ret0 : Usize) : - Result (Vec (List Usize)) - := - do - let l ← Vec.index_mut (List Usize) slots (Usize.ofInt 0) - let l0 ← get_elem_mut_loop_back x l ret0 - Vec.index_mut_back (List Usize) slots (Usize.ofInt 0) l0 - -/- [loops::get_elem_shared]: loop 0: forward function -/ -divergent def get_elem_shared_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_shared_loop x tl - | List.Nil => Result.fail Error.panic - -/- [loops::get_elem_shared]: forward function -/ -def get_elem_shared (slots : Vec (List Usize)) (x : Usize) : Result Usize := - do - let l ← Vec.index_shared (List Usize) slots (Usize.ofInt 0) - get_elem_shared_loop x l - -/- [loops::id_mut]: forward function -/ -def id_mut (T : Type) (ls : List T) : Result (List T) := - Result.ret ls - -/- [loops::id_mut]: backward function 0 -/ -def id_mut_back (T : Type) (ls : List T) (ret0 : List T) : Result (List T) := - Result.ret ret0 - -/- [loops::id_shared]: forward function -/ -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 -/ -divergent def list_nth_mut_loop_with_id_loop - (T : Type) (i : U32) (ls : List T) : Result T := - match ls with - | List.Cons x tl => - if i = (U32.ofInt 0) - then Result.ret x - else do - let i0 ← i - (U32.ofInt 1) - list_nth_mut_loop_with_id_loop T i0 tl - | List.Nil => Result.fail Error.panic - -/- [loops::list_nth_mut_loop_with_id]: forward function -/ -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 -/ -divergent def list_nth_mut_loop_with_id_loop_back - (T : Type) (i : U32) (ls : List T) (ret0 : T) : Result (List T) := - match ls with - | List.Cons x tl => - if i = (U32.ofInt 0) - then Result.ret (List.Cons ret0 tl) - else - do - let i0 ← i - (U32.ofInt 1) - let tl0 ← list_nth_mut_loop_with_id_loop_back T i0 tl ret0 - Result.ret (List.Cons x tl0) - | List.Nil => Result.fail Error.panic - -/- [loops::list_nth_mut_loop_with_id]: backward function 0 -/ -def list_nth_mut_loop_with_id_back - (T : Type) (ls : List T) (i : U32) (ret0 : T) : Result (List T) := - do - let ls0 ← id_mut T ls - let l ← list_nth_mut_loop_with_id_loop_back T i ls0 ret0 - id_mut_back T ls l - -/- [loops::list_nth_shared_loop_with_id]: loop 0: forward function -/ -divergent def list_nth_shared_loop_with_id_loop - (T : Type) (i : U32) (ls : List T) : Result T := - match ls with - | List.Cons x tl => - if i = (U32.ofInt 0) - then Result.ret x - else - do - let i0 ← i - (U32.ofInt 1) - list_nth_shared_loop_with_id_loop T i0 tl - | List.Nil => Result.fail Error.panic - -/- [loops::list_nth_shared_loop_with_id]: forward function -/ -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 - -/- [loops::list_nth_mut_loop_pair]: loop 0: forward function -/ -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 = (U32.ofInt 0) - then Result.ret (x0, x1) - else - do - let i0 ← i - (U32.ofInt 1) - list_nth_mut_loop_pair_loop T tl0 tl1 i0 - | List.Nil => Result.fail Error.panic - | List.Nil => Result.fail Error.panic - -/- [loops::list_nth_mut_loop_pair]: forward function -/ -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 -/ -divergent def list_nth_mut_loop_pair_loop_back'a - (T : Type) (ls0 : List T) (ls1 : List T) (i : U32) (ret0 : T) : - Result (List T) - := - match ls0 with - | List.Cons x0 tl0 => - match ls1 with - | List.Cons x1 tl1 => - if i = (U32.ofInt 0) - then Result.ret (List.Cons ret0 tl0) - else - do - let i0 ← i - (U32.ofInt 1) - let tl00 ← list_nth_mut_loop_pair_loop_back'a T tl0 tl1 i0 ret0 - Result.ret (List.Cons x0 tl00) - | List.Nil => Result.fail Error.panic - | List.Nil => Result.fail Error.panic - -/- [loops::list_nth_mut_loop_pair]: backward function 0 -/ -def list_nth_mut_loop_pair_back'a - (T : Type) (ls0 : List T) (ls1 : List T) (i : U32) (ret0 : T) : - Result (List T) - := - list_nth_mut_loop_pair_loop_back'a T ls0 ls1 i ret0 - -/- [loops::list_nth_mut_loop_pair]: loop 0: backward function 1 -/ -divergent def list_nth_mut_loop_pair_loop_back'b - (T : Type) (ls0 : List T) (ls1 : List T) (i : U32) (ret0 : T) : - Result (List T) - := - match ls0 with - | List.Cons x0 tl0 => - match ls1 with - | List.Cons x1 tl1 => - if i = (U32.ofInt 0) - then Result.ret (List.Cons ret0 tl1) - else - do - let i0 ← i - (U32.ofInt 1) - let tl10 ← list_nth_mut_loop_pair_loop_back'b T tl0 tl1 i0 ret0 - Result.ret (List.Cons x1 tl10) - | List.Nil => Result.fail Error.panic - | List.Nil => Result.fail Error.panic - -/- [loops::list_nth_mut_loop_pair]: backward function 1 -/ -def list_nth_mut_loop_pair_back'b - (T : Type) (ls0 : List T) (ls1 : List T) (i : U32) (ret0 : T) : - Result (List T) - := - list_nth_mut_loop_pair_loop_back'b T ls0 ls1 i ret0 - -/- [loops::list_nth_shared_loop_pair]: loop 0: forward function -/ -divergent def list_nth_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 = (U32.ofInt 0) - then Result.ret (x0, x1) - else - do - let i0 ← i - (U32.ofInt 1) - list_nth_shared_loop_pair_loop T tl0 tl1 i0 - | List.Nil => Result.fail Error.panic - | List.Nil => Result.fail Error.panic - -/- [loops::list_nth_shared_loop_pair]: forward function -/ -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 -/ -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 = (U32.ofInt 0) - then Result.ret (x0, x1) - else - do - let i0 ← i - (U32.ofInt 1) - list_nth_mut_loop_pair_merge_loop T tl0 tl1 i0 - | List.Nil => Result.fail Error.panic - | List.Nil => Result.fail Error.panic - -/- [loops::list_nth_mut_loop_pair_merge]: forward function -/ -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 -/ -divergent def list_nth_mut_loop_pair_merge_loop_back - (T : Type) (ls0 : List T) (ls1 : List T) (i : U32) (ret0 : (T × T)) : - Result ((List T) × (List T)) - := - match ls0 with - | List.Cons x0 tl0 => - match ls1 with - | List.Cons x1 tl1 => - if i = (U32.ofInt 0) - then let (t, t0) := ret0 - Result.ret (List.Cons t tl0, List.Cons t0 tl1) - else - do - let i0 ← i - (U32.ofInt 1) - let (tl00, tl10) ← - list_nth_mut_loop_pair_merge_loop_back T tl0 tl1 i0 ret0 - Result.ret (List.Cons x0 tl00, List.Cons x1 tl10) - | List.Nil => Result.fail Error.panic - | List.Nil => Result.fail Error.panic - -/- [loops::list_nth_mut_loop_pair_merge]: backward function 0 -/ -def list_nth_mut_loop_pair_merge_back - (T : Type) (ls0 : List T) (ls1 : List T) (i : U32) (ret0 : (T × T)) : - Result ((List T) × (List T)) - := - list_nth_mut_loop_pair_merge_loop_back T ls0 ls1 i ret0 - -/- [loops::list_nth_shared_loop_pair_merge]: loop 0: forward function -/ -divergent def list_nth_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 = (U32.ofInt 0) - then Result.ret (x0, x1) - else - do - let i0 ← i - (U32.ofInt 1) - list_nth_shared_loop_pair_merge_loop T tl0 tl1 i0 - | List.Nil => Result.fail Error.panic - | List.Nil => Result.fail Error.panic - -/- [loops::list_nth_shared_loop_pair_merge]: forward function -/ -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 -/ -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 = (U32.ofInt 0) - then Result.ret (x0, x1) - else - do - let i0 ← i - (U32.ofInt 1) - list_nth_mut_shared_loop_pair_loop T tl0 tl1 i0 - | List.Nil => Result.fail Error.panic - | List.Nil => Result.fail Error.panic - -/- [loops::list_nth_mut_shared_loop_pair]: forward function -/ -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 -/ -divergent def list_nth_mut_shared_loop_pair_loop_back - (T : Type) (ls0 : List T) (ls1 : List T) (i : U32) (ret0 : T) : - Result (List T) - := - match ls0 with - | List.Cons x0 tl0 => - match ls1 with - | List.Cons x1 tl1 => - if i = (U32.ofInt 0) - then Result.ret (List.Cons ret0 tl0) - else - do - let i0 ← i - (U32.ofInt 1) - let tl00 ← - list_nth_mut_shared_loop_pair_loop_back T tl0 tl1 i0 ret0 - Result.ret (List.Cons x0 tl00) - | List.Nil => Result.fail Error.panic - | List.Nil => Result.fail Error.panic - -/- [loops::list_nth_mut_shared_loop_pair]: backward function 0 -/ -def list_nth_mut_shared_loop_pair_back - (T : Type) (ls0 : List T) (ls1 : List T) (i : U32) (ret0 : T) : - Result (List T) - := - list_nth_mut_shared_loop_pair_loop_back T ls0 ls1 i ret0 - -/- [loops::list_nth_mut_shared_loop_pair_merge]: loop 0: forward function -/ -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 = (U32.ofInt 0) - then Result.ret (x0, x1) - else - do - let i0 ← i - (U32.ofInt 1) - list_nth_mut_shared_loop_pair_merge_loop T tl0 tl1 i0 - | List.Nil => Result.fail Error.panic - | List.Nil => Result.fail Error.panic - -/- [loops::list_nth_mut_shared_loop_pair_merge]: forward function -/ -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 -/ -divergent def list_nth_mut_shared_loop_pair_merge_loop_back - (T : Type) (ls0 : List T) (ls1 : List T) (i : U32) (ret0 : T) : - Result (List T) - := - match ls0 with - | List.Cons x0 tl0 => - match ls1 with - | List.Cons x1 tl1 => - if i = (U32.ofInt 0) - then Result.ret (List.Cons ret0 tl0) - else - do - let i0 ← i - (U32.ofInt 1) - let tl00 ← - list_nth_mut_shared_loop_pair_merge_loop_back T tl0 tl1 i0 ret0 - Result.ret (List.Cons x0 tl00) - | List.Nil => Result.fail Error.panic - | List.Nil => Result.fail Error.panic - -/- [loops::list_nth_mut_shared_loop_pair_merge]: backward function 0 -/ -def list_nth_mut_shared_loop_pair_merge_back - (T : Type) (ls0 : List T) (ls1 : List T) (i : U32) (ret0 : T) : - Result (List T) - := - list_nth_mut_shared_loop_pair_merge_loop_back T ls0 ls1 i ret0 - -/- [loops::list_nth_shared_mut_loop_pair]: loop 0: forward function -/ -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 = (U32.ofInt 0) - then Result.ret (x0, x1) - else - do - let i0 ← i - (U32.ofInt 1) - list_nth_shared_mut_loop_pair_loop T tl0 tl1 i0 - | List.Nil => Result.fail Error.panic - | List.Nil => Result.fail Error.panic - -/- [loops::list_nth_shared_mut_loop_pair]: forward function -/ -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 -/ -divergent def list_nth_shared_mut_loop_pair_loop_back - (T : Type) (ls0 : List T) (ls1 : List T) (i : U32) (ret0 : T) : - Result (List T) - := - match ls0 with - | List.Cons x0 tl0 => - match ls1 with - | List.Cons x1 tl1 => - if i = (U32.ofInt 0) - then Result.ret (List.Cons ret0 tl1) - else - do - let i0 ← i - (U32.ofInt 1) - let tl10 ← - list_nth_shared_mut_loop_pair_loop_back T tl0 tl1 i0 ret0 - Result.ret (List.Cons x1 tl10) - | List.Nil => Result.fail Error.panic - | List.Nil => Result.fail Error.panic - -/- [loops::list_nth_shared_mut_loop_pair]: backward function 1 -/ -def list_nth_shared_mut_loop_pair_back - (T : Type) (ls0 : List T) (ls1 : List T) (i : U32) (ret0 : T) : - Result (List T) - := - list_nth_shared_mut_loop_pair_loop_back T ls0 ls1 i ret0 - -/- [loops::list_nth_shared_mut_loop_pair_merge]: loop 0: forward function -/ -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 = (U32.ofInt 0) - then Result.ret (x0, x1) - else - do - let i0 ← i - (U32.ofInt 1) - list_nth_shared_mut_loop_pair_merge_loop T tl0 tl1 i0 - | List.Nil => Result.fail Error.panic - | List.Nil => Result.fail Error.panic - -/- [loops::list_nth_shared_mut_loop_pair_merge]: forward function -/ -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 -/ -divergent def list_nth_shared_mut_loop_pair_merge_loop_back - (T : Type) (ls0 : List T) (ls1 : List T) (i : U32) (ret0 : T) : - Result (List T) - := - match ls0 with - | List.Cons x0 tl0 => - match ls1 with - | List.Cons x1 tl1 => - if i = (U32.ofInt 0) - then Result.ret (List.Cons ret0 tl1) - else - do - let i0 ← i - (U32.ofInt 1) - let tl10 ← - list_nth_shared_mut_loop_pair_merge_loop_back T tl0 tl1 i0 ret0 - Result.ret (List.Cons x1 tl10) - | List.Nil => Result.fail Error.panic - | List.Nil => Result.fail Error.panic - -/- [loops::list_nth_shared_mut_loop_pair_merge]: backward function 0 -/ -def list_nth_shared_mut_loop_pair_merge_back - (T : Type) (ls0 : List T) (ls1 : List T) (i : U32) (ret0 : T) : - Result (List T) - := - list_nth_shared_mut_loop_pair_merge_loop_back T ls0 ls1 i ret0 - -end loops diff --git a/tests/lean/Loops/Types.lean b/tests/lean/Loops/Types.lean deleted file mode 100644 index 018af901..00000000 --- a/tests/lean/Loops/Types.lean +++ /dev/null @@ -1,13 +0,0 @@ --- THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS --- [loops]: type definitions -import Base -open Primitives - -namespace loops - -/- [loops::List] -/ -inductive List (T : Type) := -| Cons : T → List T → List T -| Nil : List T - -end loops diff --git a/tests/lean/NoNestedBorrows.lean b/tests/lean/NoNestedBorrows.lean index 884e62c4..0c7dff8e 100644 --- a/tests/lean/NoNestedBorrows.lean +++ b/tests/lean/NoNestedBorrows.lean @@ -5,309 +5,423 @@ open Primitives namespace no_nested_borrows -/- [no_nested_borrows::Pair] -/ +/- [no_nested_borrows::Pair] + Source: 'src/no_nested_borrows.rs', lines 4:0-4:23 -/ structure Pair (T1 T2 : Type) where x : T1 y : T2 -/- [no_nested_borrows::List] -/ +/- [no_nested_borrows::List] + Source: 'src/no_nested_borrows.rs', lines 9:0-9:16 -/ inductive List (T : Type) := | Cons : T → List T → List T | Nil : List T -/- [no_nested_borrows::One] -/ +/- [no_nested_borrows::One] + Source: 'src/no_nested_borrows.rs', lines 20:0-20:16 -/ inductive One (T1 : Type) := | One : T1 → One T1 -/- [no_nested_borrows::EmptyEnum] -/ +/- [no_nested_borrows::EmptyEnum] + Source: 'src/no_nested_borrows.rs', lines 26:0-26:18 -/ inductive EmptyEnum := | Empty : EmptyEnum -/- [no_nested_borrows::Enum] -/ +/- [no_nested_borrows::Enum] + Source: 'src/no_nested_borrows.rs', lines 32:0-32:13 -/ inductive Enum := | Variant1 : Enum | Variant2 : Enum -/- [no_nested_borrows::EmptyStruct] -/ +/- [no_nested_borrows::EmptyStruct] + Source: 'src/no_nested_borrows.rs', lines 39:0-39:22 -/ structure EmptyStruct where -/- [no_nested_borrows::Sum] -/ +/- [no_nested_borrows::Sum] + Source: 'src/no_nested_borrows.rs', lines 41:0-41:20 -/ 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]: forward function + Source: 'src/no_nested_borrows.rs', lines 48:0-48:30 -/ def neg_test (x : I32) : Result I32 := - x -/- [no_nested_borrows::add_test]: forward function -/ -def add_test (x : U32) (y : U32) : Result U32 := +/- [no_nested_borrows::add_u32]: forward function + 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_test]: forward function -/ -def subs_test (x : U32) (y : U32) : Result U32 := +/- [no_nested_borrows::subs_u32]: forward function + 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_test]: forward function -/ -def div_test (x : U32) (y : U32) : Result U32 := +/- [no_nested_borrows::div_u32]: forward function + 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_test1]: forward function -/ -def div_test1 (x : U32) : Result U32 := - x / (U32.ofInt 2) +/- [no_nested_borrows::div_u32_const]: forward function + 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_test]: forward function -/ -def rem_test (x : U32) (y : U32) : Result U32 := +/- [no_nested_borrows::rem_u32]: forward function + 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::cast_test]: forward function -/ +/- [no_nested_borrows::mul_u32]: forward function + 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 + 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 + 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 + 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 + 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 + 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 + 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 + 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 + 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 + +/- [no_nested_borrows::CONST0] + Source: 'src/no_nested_borrows.rs', lines 125:0-125:23 -/ +def const0_body : Result Usize := 1#usize + 1#usize +def const0_c : Usize := eval_global const0_body (by simp) + +/- [no_nested_borrows::CONST1] + Source: 'src/no_nested_borrows.rs', lines 126:0-126:23 -/ +def const1_body : Result Usize := 2#usize * 2#usize +def const1_c : Usize := eval_global const1_body (by simp) + +/- [no_nested_borrows::cast_test]: forward function + Source: 'src/no_nested_borrows.rs', lines 128:0-128:31 -/ def cast_test (x : U32) : Result I32 := Scalar.cast .I32 x -/- [no_nested_borrows::test2]: forward function -/ +/- [no_nested_borrows::test2]: forward function + Source: 'src/no_nested_borrows.rs', lines 133:0-133:14 -/ def test2 : Result Unit := do - let _ ← (U32.ofInt 23) + (U32.ofInt 44) + let _ ← 23#u32 + 44#u32 Result.ret () /- Unit test for [no_nested_borrows::test2] -/ -#assert (test2 == .ret ()) +#assert (test2 == Result.ret ()) -/- [no_nested_borrows::get_max]: forward function -/ +/- [no_nested_borrows::get_max]: forward function + Source: 'src/no_nested_borrows.rs', lines 145:0-145:37 -/ 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]: forward function + Source: 'src/no_nested_borrows.rs', lines 153:0-153:14 -/ def test3 : Result Unit := do - let x ← get_max (U32.ofInt 4) (U32.ofInt 3) - let y ← get_max (U32.ofInt 10) (U32.ofInt 11) + let x ← get_max 4#u32 3#u32 + let y ← get_max 10#u32 11#u32 let z ← x + y - if not (z = (U32.ofInt 15)) - then Result.fail Error.panic + if not (z = 15#u32) + then Result.fail .panic else Result.ret () /- Unit test for [no_nested_borrows::test3] -/ -#assert (test3 == .ret ()) +#assert (test3 == Result.ret ()) -/- [no_nested_borrows::test_neg1]: forward function -/ +/- [no_nested_borrows::test_neg1]: forward function + Source: 'src/no_nested_borrows.rs', lines 160:0-160:18 -/ def test_neg1 : Result Unit := do - let y ← - (I32.ofInt 3) - if not (y = (I32.ofInt (-(3:Int)))) - then Result.fail Error.panic + 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 == .ret ()) +#assert (test_neg1 == Result.ret ()) -/- [no_nested_borrows::refs_test1]: forward function -/ +/- [no_nested_borrows::refs_test1]: forward function + Source: 'src/no_nested_borrows.rs', lines 167:0-167:19 -/ def refs_test1 : Result Unit := - if not ((I32.ofInt 1) = (I32.ofInt 1)) - then Result.fail Error.panic + if not (1#i32 = 1#i32) + then Result.fail .panic else Result.ret () /- Unit test for [no_nested_borrows::refs_test1] -/ -#assert (refs_test1 == .ret ()) +#assert (refs_test1 == Result.ret ()) -/- [no_nested_borrows::refs_test2]: forward function -/ +/- [no_nested_borrows::refs_test2]: forward function + Source: 'src/no_nested_borrows.rs', lines 178:0-178:19 -/ def refs_test2 : Result Unit := - if not ((I32.ofInt 2) = (I32.ofInt 2)) - then Result.fail Error.panic + if not (2#i32 = 2#i32) + then Result.fail .panic else - if not ((I32.ofInt 0) = (I32.ofInt 0)) - then Result.fail Error.panic + if not (0#i32 = 0#i32) + then Result.fail .panic else - if not ((I32.ofInt 2) = (I32.ofInt 2)) - then Result.fail Error.panic - else - if not ((I32.ofInt 2) = (I32.ofInt 2)) - then Result.fail Error.panic - else Result.ret () + if not (2#i32 = 2#i32) + then Result.fail .panic + else if not (2#i32 = 2#i32) + then Result.fail .panic + else Result.ret () /- Unit test for [no_nested_borrows::refs_test2] -/ -#assert (refs_test2 == .ret ()) +#assert (refs_test2 == Result.ret ()) -/- [no_nested_borrows::test_list1]: forward function -/ +/- [no_nested_borrows::test_list1]: forward function + Source: 'src/no_nested_borrows.rs', lines 194:0-194:19 -/ def test_list1 : Result Unit := Result.ret () /- Unit test for [no_nested_borrows::test_list1] -/ -#assert (test_list1 == .ret ()) +#assert (test_list1 == Result.ret ()) -/- [no_nested_borrows::test_box1]: forward function -/ +/- [no_nested_borrows::test_box1]: forward function + Source: 'src/no_nested_borrows.rs', lines 199:0-199:18 -/ def test_box1 : Result Unit := - let b := (I32.ofInt 1) - let x := b - if not (x = (I32.ofInt 1)) - then Result.fail Error.panic - else Result.ret () + 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 () /- Unit test for [no_nested_borrows::test_box1] -/ -#assert (test_box1 == .ret ()) +#assert (test_box1 == Result.ret ()) -/- [no_nested_borrows::copy_int]: forward function -/ +/- [no_nested_borrows::copy_int]: forward function + Source: 'src/no_nested_borrows.rs', lines 209:0-209:30 -/ def copy_int (x : I32) : Result I32 := Result.ret x -/- [no_nested_borrows::test_unreachable]: forward function -/ +/- [no_nested_borrows::test_unreachable]: forward function + Source: 'src/no_nested_borrows.rs', lines 215:0-215:32 -/ def test_unreachable (b : Bool) : Result Unit := if b - then Result.fail Error.panic + then Result.fail .panic else Result.ret () -/- [no_nested_borrows::test_panic]: forward function -/ +/- [no_nested_borrows::test_panic]: forward function + Source: 'src/no_nested_borrows.rs', lines 223:0-223:26 -/ def test_panic (b : Bool) : Result Unit := if b - then Result.fail Error.panic + then Result.fail .panic else Result.ret () -/- [no_nested_borrows::test_copy_int]: forward function -/ +/- [no_nested_borrows::test_copy_int]: forward function + Source: 'src/no_nested_borrows.rs', lines 230:0-230:22 -/ def test_copy_int : Result Unit := do - let y ← copy_int (I32.ofInt 0) - if not ((I32.ofInt 0) = y) - then Result.fail Error.panic + 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 == .ret ()) +#assert (test_copy_int == Result.ret ()) -/- [no_nested_borrows::is_cons]: forward function -/ +/- [no_nested_borrows::is_cons]: forward function + Source: 'src/no_nested_borrows.rs', lines 237:0-237:38 -/ def is_cons (T : Type) (l : List T) : Result Bool := match l with | List.Cons t l0 => Result.ret true | List.Nil => Result.ret false -/- [no_nested_borrows::test_is_cons]: forward function -/ +/- [no_nested_borrows::test_is_cons]: forward function + Source: 'src/no_nested_borrows.rs', lines 244:0-244:21 -/ def test_is_cons : Result Unit := do let l := List.Nil - let b ← is_cons I32 (List.Cons (I32.ofInt 0) l) + let b ← is_cons I32 (List.Cons 0#i32 l) if not b - then Result.fail Error.panic + then Result.fail .panic else Result.ret () /- Unit test for [no_nested_borrows::test_is_cons] -/ -#assert (test_is_cons == .ret ()) +#assert (test_is_cons == Result.ret ()) -/- [no_nested_borrows::split_list]: forward function -/ +/- [no_nested_borrows::split_list]: forward function + Source: 'src/no_nested_borrows.rs', lines 250:0-250:48 -/ 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 Error.panic + | List.Nil => Result.fail .panic -/- [no_nested_borrows::test_split_list]: forward function -/ +/- [no_nested_borrows::test_split_list]: forward function + Source: 'src/no_nested_borrows.rs', lines 258:0-258:24 -/ def test_split_list : Result Unit := do let l := List.Nil - let p ← split_list I32 (List.Cons (I32.ofInt 0) l) + let p ← split_list I32 (List.Cons 0#i32 l) let (hd, _) := p - if not (hd = (I32.ofInt 0)) - then Result.fail Error.panic + 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 == .ret ()) +#assert (test_split_list == Result.ret ()) -/- [no_nested_borrows::choose]: forward function -/ +/- [no_nested_borrows::choose]: forward function + Source: 'src/no_nested_borrows.rs', lines 265:0-265:70 -/ def choose (T : Type) (b : Bool) (x : T) (y : T) : Result T := if b then Result.ret x else Result.ret y -/- [no_nested_borrows::choose]: backward function 0 -/ +/- [no_nested_borrows::choose]: backward function 0 + Source: 'src/no_nested_borrows.rs', lines 265:0-265:70 -/ def choose_back - (T : Type) (b : Bool) (x : T) (y : T) (ret0 : T) : Result (T × T) := + (T : Type) (b : Bool) (x : T) (y : T) (ret : T) : Result (T × T) := if b - then Result.ret (ret0, y) - else Result.ret (x, ret0) + then Result.ret (ret, y) + else Result.ret (x, ret) -/- [no_nested_borrows::choose_test]: forward function -/ +/- [no_nested_borrows::choose_test]: forward function + Source: 'src/no_nested_borrows.rs', lines 273:0-273:20 -/ def choose_test : Result Unit := do - let z ← choose I32 true (I32.ofInt 0) (I32.ofInt 0) - let z0 ← z + (I32.ofInt 1) - if not (z0 = (I32.ofInt 1)) - then Result.fail Error.panic + let z ← choose I32 true 0#i32 0#i32 + let z0 ← z + 1#i32 + if not (z0 = 1#i32) + then Result.fail .panic else do - let (x, y) ← choose_back I32 true (I32.ofInt 0) (I32.ofInt 0) z0 - if not (x = (I32.ofInt 1)) - then Result.fail Error.panic - else - if not (y = (I32.ofInt 0)) - then Result.fail Error.panic - else Result.ret () + 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 () /- Unit test for [no_nested_borrows::choose_test] -/ -#assert (choose_test == .ret ()) +#assert (choose_test == Result.ret ()) -/- [no_nested_borrows::test_char]: forward function -/ +/- [no_nested_borrows::test_char]: forward function + Source: 'src/no_nested_borrows.rs', lines 285:0-285:26 -/ def test_char : Result Char := Result.ret 'a' mutual -/- [no_nested_borrows::Tree] -/ +/- [no_nested_borrows::Tree] + Source: 'src/no_nested_borrows.rs', lines 290:0-290:16 -/ inductive Tree (T : Type) := | Leaf : T → Tree T | Node : T → NodeElem T → Tree T → Tree T -/- [no_nested_borrows::NodeElem] -/ +/- [no_nested_borrows::NodeElem] + Source: 'src/no_nested_borrows.rs', lines 295:0-295:20 -/ inductive NodeElem (T : Type) := | Cons : Tree T → NodeElem T → NodeElem T | Nil : NodeElem T end -/- [no_nested_borrows::list_length]: forward function -/ +/- [no_nested_borrows::list_length]: forward function + Source: 'src/no_nested_borrows.rs', lines 330:0-330:48 -/ 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 - (U32.ofInt 1) + i - | List.Nil => Result.ret (U32.ofInt 0) + 1#u32 + i + | List.Nil => Result.ret 0#u32 -/- [no_nested_borrows::list_nth_shared]: forward function -/ +/- [no_nested_borrows::list_nth_shared]: forward function + Source: 'src/no_nested_borrows.rs', lines 338:0-338:62 -/ divergent def list_nth_shared (T : Type) (l : List T) (i : U32) : Result T := match l with | List.Cons x tl => - if i = (U32.ofInt 0) + if i = 0#u32 then Result.ret x else do - let i0 ← i - (U32.ofInt 1) + let i0 ← i - 1#u32 list_nth_shared T tl i0 - | List.Nil => Result.fail Error.panic + | List.Nil => Result.fail .panic -/- [no_nested_borrows::list_nth_mut]: forward function -/ +/- [no_nested_borrows::list_nth_mut]: forward function + Source: 'src/no_nested_borrows.rs', lines 354:0-354:67 -/ divergent def list_nth_mut (T : Type) (l : List T) (i : U32) : Result T := match l with | List.Cons x tl => - if i = (U32.ofInt 0) + if i = 0#u32 then Result.ret x else do - let i0 ← i - (U32.ofInt 1) + let i0 ← i - 1#u32 list_nth_mut T tl i0 - | List.Nil => Result.fail Error.panic + | List.Nil => Result.fail .panic -/- [no_nested_borrows::list_nth_mut]: backward function 0 -/ +/- [no_nested_borrows::list_nth_mut]: backward function 0 + Source: 'src/no_nested_borrows.rs', lines 354:0-354:67 -/ divergent def list_nth_mut_back - (T : Type) (l : List T) (i : U32) (ret0 : T) : Result (List T) := + (T : Type) (l : List T) (i : U32) (ret : T) : Result (List T) := match l with | List.Cons x tl => - if i = (U32.ofInt 0) - then Result.ret (List.Cons ret0 tl) + if i = 0#u32 + then Result.ret (List.Cons ret tl) else do - let i0 ← i - (U32.ofInt 1) - let tl0 ← list_nth_mut_back T tl i0 ret0 + let i0 ← i - 1#u32 + let tl0 ← list_nth_mut_back T tl i0 ret Result.ret (List.Cons x tl0) - | List.Nil => Result.fail Error.panic + | List.Nil => Result.fail .panic -/- [no_nested_borrows::list_rev_aux]: forward function -/ +/- [no_nested_borrows::list_rev_aux]: forward function + Source: 'src/no_nested_borrows.rs', lines 370:0-370:63 -/ divergent def list_rev_aux (T : Type) (li : List T) (lo : List T) : Result (List T) := match li with @@ -315,198 +429,218 @@ divergent def list_rev_aux | 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 ()) -/ + (there is a single backward function, and the forward function returns ()) + Source: 'src/no_nested_borrows.rs', lines 384:0-384:42 -/ def list_rev (T : Type) (l : List T) : Result (List T) := - let li := 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]: forward function + Source: 'src/no_nested_borrows.rs', lines 389:0-389:28 -/ def test_list_functions : Result Unit := do let l := List.Nil - let l0 := List.Cons (I32.ofInt 2) l - let l1 := List.Cons (I32.ofInt 1) l0 - let i ← list_length I32 (List.Cons (I32.ofInt 0) l1) - if not (i = (U32.ofInt 3)) - then Result.fail Error.panic + 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) + then Result.fail .panic else do - let i0 ← - list_nth_shared I32 (List.Cons (I32.ofInt 0) l1) (U32.ofInt 0) - if not (i0 = (I32.ofInt 0)) - then Result.fail Error.panic + let i0 ← list_nth_shared I32 (List.Cons 0#i32 l1) 0#u32 + if not (i0 = 0#i32) + then Result.fail .panic else do - let i1 ← - list_nth_shared I32 (List.Cons (I32.ofInt 0) l1) (U32.ofInt 1) - if not (i1 = (I32.ofInt 1)) - then Result.fail Error.panic + let i1 ← list_nth_shared I32 (List.Cons 0#i32 l1) 1#u32 + if not (i1 = 1#i32) + then Result.fail .panic else do - let i2 ← - list_nth_shared I32 (List.Cons (I32.ofInt 0) l1) - (U32.ofInt 2) - if not (i2 = (I32.ofInt 2)) - then Result.fail Error.panic + 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 (I32.ofInt 0) l1) - (U32.ofInt 1) (I32.ofInt 3) - let i3 ← list_nth_shared I32 ls (U32.ofInt 0) - if not (i3 = (I32.ofInt 0)) - then Result.fail Error.panic + 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 (U32.ofInt 1) - if not (i4 = (I32.ofInt 3)) - then Result.fail Error.panic + 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 (U32.ofInt 2) - if not (i5 = (I32.ofInt 2)) - then Result.fail Error.panic + let i5 ← list_nth_shared I32 ls 2#u32 + if not (i5 = 2#i32) + then Result.fail .panic else Result.ret () /- Unit test for [no_nested_borrows::test_list_functions] -/ -#assert (test_list_functions == .ret ()) +#assert (test_list_functions == Result.ret ()) -/- [no_nested_borrows::id_mut_pair1]: forward function -/ +/- [no_nested_borrows::id_mut_pair1]: forward function + Source: 'src/no_nested_borrows.rs', lines 405:0-405:89 -/ 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]: backward function 0 + Source: 'src/no_nested_borrows.rs', lines 405:0-405:89 -/ def id_mut_pair1_back - (T1 T2 : Type) (x : T1) (y : T2) (ret0 : (T1 × T2)) : Result (T1 × T2) := - let (t, t0) := ret0 + (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 -/ +/- [no_nested_borrows::id_mut_pair2]: forward function + Source: 'src/no_nested_borrows.rs', lines 409:0-409:88 -/ 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 -/ +/- [no_nested_borrows::id_mut_pair2]: backward function 0 + Source: 'src/no_nested_borrows.rs', lines 409:0-409:88 -/ def id_mut_pair2_back - (T1 T2 : Type) (p : (T1 × T2)) (ret0 : (T1 × T2)) : Result (T1 × T2) := - let (t, t0) := ret0 + (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 -/ +/- [no_nested_borrows::id_mut_pair3]: forward function + Source: 'src/no_nested_borrows.rs', lines 413:0-413:93 -/ 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 -/ +/- [no_nested_borrows::id_mut_pair3]: backward function 0 + Source: 'src/no_nested_borrows.rs', lines 413:0-413:93 -/ def id_mut_pair3_back'a - (T1 T2 : Type) (x : T1) (y : T2) (ret0 : T1) : Result T1 := - Result.ret ret0 + (T1 T2 : Type) (x : T1) (y : T2) (ret : T1) : Result T1 := + Result.ret ret -/- [no_nested_borrows::id_mut_pair3]: backward function 1 -/ +/- [no_nested_borrows::id_mut_pair3]: backward function 1 + Source: 'src/no_nested_borrows.rs', lines 413:0-413:93 -/ def id_mut_pair3_back'b - (T1 T2 : Type) (x : T1) (y : T2) (ret0 : T2) : Result T2 := - Result.ret ret0 + (T1 T2 : Type) (x : T1) (y : T2) (ret : T2) : Result T2 := + Result.ret ret -/- [no_nested_borrows::id_mut_pair4]: forward function -/ +/- [no_nested_borrows::id_mut_pair4]: forward function + Source: 'src/no_nested_borrows.rs', lines 417:0-417:92 -/ 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 -/ +/- [no_nested_borrows::id_mut_pair4]: backward function 0 + Source: 'src/no_nested_borrows.rs', lines 417:0-417:92 -/ def id_mut_pair4_back'a - (T1 T2 : Type) (p : (T1 × T2)) (ret0 : T1) : Result T1 := - Result.ret ret0 + (T1 T2 : Type) (p : (T1 × T2)) (ret : T1) : Result T1 := + Result.ret ret -/- [no_nested_borrows::id_mut_pair4]: backward function 1 -/ +/- [no_nested_borrows::id_mut_pair4]: backward function 1 + Source: 'src/no_nested_borrows.rs', lines 417:0-417:92 -/ def id_mut_pair4_back'b - (T1 T2 : Type) (p : (T1 × T2)) (ret0 : T2) : Result T2 := - Result.ret ret0 + (T1 T2 : Type) (p : (T1 × T2)) (ret : T2) : Result T2 := + Result.ret ret -/- [no_nested_borrows::StructWithTuple] -/ +/- [no_nested_borrows::StructWithTuple] + Source: 'src/no_nested_borrows.rs', lines 424:0-424:34 -/ structure StructWithTuple (T1 T2 : Type) where p : (T1 × T2) -/- [no_nested_borrows::new_tuple1]: forward function -/ +/- [no_nested_borrows::new_tuple1]: forward function + Source: 'src/no_nested_borrows.rs', lines 428:0-428:48 -/ def new_tuple1 : Result (StructWithTuple U32 U32) := - Result.ret { p := ((U32.ofInt 1), (U32.ofInt 2)) } + Result.ret { p := (1#u32, 2#u32) } -/- [no_nested_borrows::new_tuple2]: forward function -/ +/- [no_nested_borrows::new_tuple2]: forward function + Source: 'src/no_nested_borrows.rs', lines 432:0-432:48 -/ def new_tuple2 : Result (StructWithTuple I16 I16) := - Result.ret { p := ((I16.ofInt 1), (I16.ofInt 2)) } + Result.ret { p := (1#i16, 2#i16) } -/- [no_nested_borrows::new_tuple3]: forward function -/ +/- [no_nested_borrows::new_tuple3]: forward function + Source: 'src/no_nested_borrows.rs', lines 436:0-436:48 -/ def new_tuple3 : Result (StructWithTuple U64 I64) := - Result.ret { p := ((U64.ofInt 1), (I64.ofInt 2)) } + Result.ret { p := (1#u64, 2#i64) } -/- [no_nested_borrows::StructWithPair] -/ +/- [no_nested_borrows::StructWithPair] + Source: 'src/no_nested_borrows.rs', lines 441:0-441:33 -/ structure StructWithPair (T1 T2 : Type) where p : Pair T1 T2 -/- [no_nested_borrows::new_pair1]: forward function -/ +/- [no_nested_borrows::new_pair1]: forward function + Source: 'src/no_nested_borrows.rs', lines 445:0-445:46 -/ def new_pair1 : Result (StructWithPair U32 U32) := - Result.ret { p := { x := (U32.ofInt 1), y := (U32.ofInt 2) } } + Result.ret { p := { x := 1#u32, y := 2#u32 } } -/- [no_nested_borrows::test_constants]: forward function -/ +/- [no_nested_borrows::test_constants]: forward function + Source: 'src/no_nested_borrows.rs', lines 453:0-453:23 -/ def test_constants : Result Unit := do let swt ← new_tuple1 let (i, _) := swt.p - if not (i = (U32.ofInt 1)) - then Result.fail Error.panic + if not (i = 1#u32) + then Result.fail .panic else do let swt0 ← new_tuple2 let (i0, _) := swt0.p - if not (i0 = (I16.ofInt 1)) - then Result.fail Error.panic + if not (i0 = 1#i16) + then Result.fail .panic else do let swt1 ← new_tuple3 let (i1, _) := swt1.p - if not (i1 = (U64.ofInt 1)) - then Result.fail Error.panic + if not (i1 = 1#u64) + then Result.fail .panic else do let swp ← new_pair1 - if not (swp.p.x = (U32.ofInt 1)) - then Result.fail Error.panic + if not (swp.p.x = 1#u32) + then Result.fail .panic else Result.ret () /- Unit test for [no_nested_borrows::test_constants] -/ -#assert (test_constants == .ret ()) +#assert (test_constants == Result.ret ()) -/- [no_nested_borrows::test_weird_borrows1]: forward function -/ +/- [no_nested_borrows::test_weird_borrows1]: forward function + Source: 'src/no_nested_borrows.rs', lines 462:0-462:28 -/ def test_weird_borrows1 : Result Unit := Result.ret () /- Unit test for [no_nested_borrows::test_weird_borrows1] -/ -#assert (test_weird_borrows1 == .ret ()) +#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 ()) -/ + (there is a single backward function, and the forward function returns ()) + Source: 'src/no_nested_borrows.rs', lines 472:0-472:37 -/ def test_mem_replace (px : U32) : Result U32 := - let y := mem.replace U32 px (U32.ofInt 1) - if not (y = (U32.ofInt 0)) - then Result.fail Error.panic - else Result.ret (U32.ofInt 2) + 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]: forward function + Source: 'src/no_nested_borrows.rs', lines 479:0-479:47 -/ def test_shared_borrow_bool1 (b : Bool) : Result U32 := if b - then Result.ret (U32.ofInt 0) - else Result.ret (U32.ofInt 1) + 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]: forward function + Source: 'src/no_nested_borrows.rs', lines 492:0-492:40 -/ def test_shared_borrow_bool2 : Result U32 := - Result.ret (U32.ofInt 0) + Result.ret 0#u32 -/- [no_nested_borrows::test_shared_borrow_enum1]: forward function -/ +/- [no_nested_borrows::test_shared_borrow_enum1]: forward function + Source: 'src/no_nested_borrows.rs', lines 507:0-507:52 -/ def test_shared_borrow_enum1 (l : List U32) : Result U32 := match l with - | List.Cons i l0 => Result.ret (U32.ofInt 1) - | List.Nil => Result.ret (U32.ofInt 0) + | List.Cons i l0 => 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]: forward function + Source: 'src/no_nested_borrows.rs', lines 519:0-519:40 -/ def test_shared_borrow_enum2 : Result U32 := - Result.ret (U32.ofInt 0) + Result.ret 0#u32 end no_nested_borrows diff --git a/tests/lean/Paper.lean b/tests/lean/Paper.lean index c15c5e4b..08386bb7 100644 --- a/tests/lean/Paper.lean +++ b/tests/lean/Paper.lean @@ -6,116 +6,125 @@ open Primitives namespace paper /- [paper::ref_incr]: merged forward/backward function - (there is a single backward function, and the forward function returns ()) -/ + (there is a single backward function, and the forward function returns ()) + Source: 'src/paper.rs', lines 4:0-4:28 -/ def ref_incr (x : I32) : Result I32 := - x + (I32.ofInt 1) + x + 1#i32 -/- [paper::test_incr]: forward function -/ +/- [paper::test_incr]: forward function + Source: 'src/paper.rs', lines 8:0-8:18 -/ def test_incr : Result Unit := do - let x ← ref_incr (I32.ofInt 0) - if not (x = (I32.ofInt 1)) - then Result.fail Error.panic + let x ← ref_incr 0#i32 + if not (x = 1#i32) + then Result.fail .panic else Result.ret () /- Unit test for [paper::test_incr] -/ -#assert (test_incr == .ret ()) +#assert (test_incr == Result.ret ()) -/- [paper::choose]: forward function -/ +/- [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]: backward function 0 + Source: 'src/paper.rs', lines 15:0-15:70 -/ def choose_back - (T : Type) (b : Bool) (x : T) (y : T) (ret0 : T) : Result (T × T) := + (T : Type) (b : Bool) (x : T) (y : T) (ret : T) : Result (T × T) := if b - then Result.ret (ret0, y) - else Result.ret (x, ret0) + then Result.ret (ret, y) + else Result.ret (x, ret) -/- [paper::test_choose]: forward function -/ +/- [paper::test_choose]: forward function + Source: 'src/paper.rs', lines 23:0-23:20 -/ def test_choose : Result Unit := do - let z ← choose I32 true (I32.ofInt 0) (I32.ofInt 0) - let z0 ← z + (I32.ofInt 1) - if not (z0 = (I32.ofInt 1)) - then Result.fail Error.panic + let z ← choose I32 true 0#i32 0#i32 + let z0 ← z + 1#i32 + if not (z0 = 1#i32) + then Result.fail .panic else do - let (x, y) ← choose_back I32 true (I32.ofInt 0) (I32.ofInt 0) z0 - if not (x = (I32.ofInt 1)) - then Result.fail Error.panic - else - if not (y = (I32.ofInt 0)) - then Result.fail Error.panic - else Result.ret () + 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 () /- Unit test for [paper::test_choose] -/ -#assert (test_choose == .ret ()) +#assert (test_choose == Result.ret ()) -/- [paper::List] -/ +/- [paper::List] + Source: 'src/paper.rs', lines 35:0-35:16 -/ inductive List (T : Type) := | Cons : T → List T → List T | Nil : List T -/- [paper::list_nth_mut]: forward function -/ +/- [paper::list_nth_mut]: forward function + Source: 'src/paper.rs', lines 42:0-42:67 -/ divergent def list_nth_mut (T : Type) (l : List T) (i : U32) : Result T := match l with | List.Cons x tl => - if i = (U32.ofInt 0) + if i = 0#u32 then Result.ret x else do - let i0 ← i - (U32.ofInt 1) + let i0 ← i - 1#u32 list_nth_mut T tl i0 - | List.Nil => Result.fail Error.panic + | List.Nil => Result.fail .panic -/- [paper::list_nth_mut]: backward function 0 -/ +/- [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) (ret0 : T) : Result (List T) := + (T : Type) (l : List T) (i : U32) (ret : T) : Result (List T) := match l with | List.Cons x tl => - if i = (U32.ofInt 0) - then Result.ret (List.Cons ret0 tl) + if i = 0#u32 + then Result.ret (List.Cons ret tl) else do - let i0 ← i - (U32.ofInt 1) - let tl0 ← list_nth_mut_back T tl i0 ret0 + let i0 ← i - 1#u32 + let tl0 ← list_nth_mut_back T tl i0 ret Result.ret (List.Cons x tl0) - | List.Nil => Result.fail Error.panic + | List.Nil => Result.fail .panic -/- [paper::sum]: forward function -/ +/- [paper::sum]: forward function + 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 - | List.Nil => Result.ret (I32.ofInt 0) + | List.Nil => Result.ret 0#i32 -/- [paper::test_nth]: forward function -/ +/- [paper::test_nth]: forward function + Source: 'src/paper.rs', lines 68:0-68:17 -/ def test_nth : Result Unit := do let l := List.Nil - let l0 := List.Cons (I32.ofInt 3) l - let l1 := List.Cons (I32.ofInt 2) l0 - let x ← list_nth_mut I32 (List.Cons (I32.ofInt 1) l1) (U32.ofInt 2) - let x0 ← x + (I32.ofInt 1) - let l2 ← - list_nth_mut_back I32 (List.Cons (I32.ofInt 1) l1) (U32.ofInt 2) x0 + 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 = (I32.ofInt 7)) - then Result.fail Error.panic + if not (i = 7#i32) + then Result.fail .panic else Result.ret () /- Unit test for [paper::test_nth] -/ -#assert (test_nth == .ret ()) +#assert (test_nth == Result.ret ()) -/- [paper::call_choose]: forward function -/ +/- [paper::call_choose]: forward function + 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 + (U32.ofInt 1) + let pz0 ← pz + 1#u32 let (px0, _) ← choose_back U32 true px py pz0 Result.ret px0 diff --git a/tests/lean/PoloniusList.lean b/tests/lean/PoloniusList.lean index 07f206a8..37f0dffb 100644 --- a/tests/lean/PoloniusList.lean +++ b/tests/lean/PoloniusList.lean @@ -5,12 +5,14 @@ open Primitives namespace polonius_list -/- [polonius_list::List] -/ +/- [polonius_list::List] + Source: 'src/polonius_list.rs', lines 3:0-3:16 -/ 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]: forward function + Source: 'src/polonius_list.rs', lines 13:0-13:76 -/ divergent def get_list_at_x (ls : List U32) (x : U32) : Result (List U32) := match ls with | List.Cons hd tl => @@ -19,17 +21,18 @@ divergent def get_list_at_x (ls : List U32) (x : U32) : Result (List U32) := else get_list_at_x tl x | List.Nil => Result.ret List.Nil -/- [polonius_list::get_list_at_x]: backward function 0 -/ +/- [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) (ret0 : List U32) : Result (List U32) := + (ls : List U32) (x : U32) (ret : List U32) : Result (List U32) := match ls with | List.Cons hd tl => if hd = x - then Result.ret ret0 + then Result.ret ret else do - let tl0 ← get_list_at_x_back tl x ret0 + let tl0 ← get_list_at_x_back tl x ret Result.ret (List.Cons hd tl0) - | List.Nil => Result.ret ret0 + | List.Nil => Result.ret ret end polonius_list diff --git a/tests/lean/Traits.lean b/tests/lean/Traits.lean new file mode 100644 index 00000000..653384d6 --- /dev/null +++ b/tests/lean/Traits.lean @@ -0,0 +1,471 @@ +-- THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS +-- [traits] +import Base +open Primitives + +namespace traits + +/- Trait declaration: [traits::BoolTrait] + Source: 'src/traits.rs', lines 1:0-1:19 -/ +structure BoolTrait (Self : Type) where + get_bool : Self → Result Bool + +/- [traits::{bool}::get_bool]: forward function + Source: 'src/traits.rs', lines 12:4-12:30 -/ +def Bool.get_bool (self : Bool) : Result Bool := + Result.ret self + +/- Trait implementation: [traits::{bool}] + Source: 'src/traits.rs', lines 11:0-11:23 -/ +def traits.BoolTraitBoolInst : BoolTrait Bool := { + get_bool := Bool.get_bool +} + +/- [traits::BoolTrait::ret_true]: forward function + 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 + 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 + +/- [traits::{core::option::Option<T>#1}::get_bool]: forward function + 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 + +/- Trait implementation: [traits::{core::option::Option<T>#1}] + Source: 'src/traits.rs', lines 22:0-22:31 -/ +def traits.BoolTraitcoreoptionOptionTInst (T : Type) : BoolTrait (Option T) + := { + get_bool := Option.get_bool T +} + +/- [traits::test_bool_trait_option]: forward function + 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 + +/- [traits::test_bool_trait]: forward function + Source: 'src/traits.rs', lines 35:0-35:50 -/ +def test_bool_trait + (T : Type) (BoolTraitTInst : BoolTrait T) (x : T) : Result Bool := + BoolTraitTInst.get_bool x + +/- Trait declaration: [traits::ToU64] + Source: 'src/traits.rs', lines 39:0-39:15 -/ +structure ToU64 (Self : Type) where + to_u64 : Self → Result U64 + +/- [traits::{u64#2}::to_u64]: forward function + Source: 'src/traits.rs', lines 44:4-44:26 -/ +def U64.to_u64 (self : U64) : Result U64 := + Result.ret self + +/- Trait implementation: [traits::{u64#2}] + Source: 'src/traits.rs', lines 43:0-43:18 -/ +def traits.ToU64U64Inst : ToU64 U64 := { + to_u64 := U64.to_u64 +} + +/- [traits::{(A, A)#3}::to_u64]: forward function + 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 + +/- Trait implementation: [traits::{(A, A)#3}] + Source: 'src/traits.rs', lines 49:0-49:31 -/ +def traits.ToU64TupleAAInst (A : Type) (ToU64AInst : ToU64 A) : ToU64 (A × A) + := { + to_u64 := Pair.to_u64 A ToU64AInst +} + +/- [traits::f]: forward function + 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 + 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 + Source: 'src/traits.rs', lines 66:0-66:24 -/ +def h0 (x : U64) : Result U64 := + U64.to_u64 x + +/- [traits::Wrapper] + Source: 'src/traits.rs', lines 70:0-70:21 -/ +structure Wrapper (T : Type) where + x : T + +/- [traits::{traits::Wrapper<T>#4}::to_u64]: forward function + Source: 'src/traits.rs', lines 75:4-75:26 -/ +def Wrapper.to_u64 + (T : Type) (ToU64TInst : ToU64 T) (self : Wrapper T) : Result U64 := + ToU64TInst.to_u64 self.x + +/- Trait implementation: [traits::{traits::Wrapper<T>#4}] + Source: 'src/traits.rs', lines 74:0-74:35 -/ +def traits.ToU64traitsWrapperTInst (T : Type) (ToU64TInst : ToU64 T) : ToU64 + (Wrapper T) := { + to_u64 := Wrapper.to_u64 T ToU64TInst +} + +/- [traits::h1]: forward function + 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 + 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 + +/- Trait declaration: [traits::ToType] + Source: 'src/traits.rs', lines 88:0-88:19 -/ +structure ToType (Self T : Type) where + to_type : Self → Result T + +/- [traits::{u64#5}::to_type]: forward function + Source: 'src/traits.rs', lines 93:4-93:28 -/ +def U64.to_type (self : U64) : Result Bool := + Result.ret (self > 0#u64) + +/- Trait implementation: [traits::{u64#5}] + Source: 'src/traits.rs', lines 92:0-92:25 -/ +def traits.ToTypeU64BoolInst : ToType U64 Bool := { + to_type := U64.to_type +} + +/- Trait declaration: [traits::OfType] + Source: 'src/traits.rs', lines 98:0-98:16 -/ +structure OfType (Self : Type) where + of_type : forall (T : Type) (ToTypeTSelfInst : ToType T Self), T → Result + Self + +/- [traits::h3]: forward function + Source: 'src/traits.rs', lines 104:0-104:50 -/ +def h3 + (T1 T2 : Type) (OfTypeT1Inst : OfType T1) (ToTypeT2T1Inst : ToType 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 -/ +structure OfTypeBis (Self T : Type) where + ToTypeTSelfInst : ToType T Self + of_type : T → Result Self + +/- [traits::h4]: forward function + Source: 'src/traits.rs', lines 118:0-118:57 -/ +def h4 + (T1 T2 : Type) (OfTypeBisT1T2Inst : OfTypeBis T1 T2) (ToTypeT2T1Inst : ToType + T2 T1) (y : T2) : + Result T1 + := + OfTypeBisT1T2Inst.of_type y + +/- [traits::TestType] + Source: 'src/traits.rs', lines 122:0-122:22 -/ +structure TestType (T : Type) where + _0 : T + +/- [traits::{traits::TestType<T>#6}::test::TestType1] + Source: 'src/traits.rs', lines 127:8-127:24 -/ +structure TestType.test.TestType1 where + _0 : U64 + +/- Trait declaration: [traits::{traits::TestType<T>#6}::test::TestTrait] + Source: 'src/traits.rs', lines 128:8-128:23 -/ +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 + Source: 'src/traits.rs', lines 139:12-139:34 -/ +def TestType.test.TestType1.test + (self : TestType.test.TestType1) : Result Bool := + Result.ret (self._0 > 1#u64) + +/- Trait implementation: [traits::{traits::TestType<T>#6}::test::{traits::{traits::TestType<T>#6}::test::TestType1}] + Source: 'src/traits.rs', lines 138:8-138:36 -/ +def traits.TestType.test.TestTraittraitstraitsTestTypeTtestTestType1Inst : + TestType.test.TestTrait TestType.test.TestType1 := { + test := TestType.test.TestType1.test +} + +/- [traits::{traits::TestType<T>#6}::test]: forward function + 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 := 0#u64 } + else Result.ret false + +/- [traits::BoolWrapper] + Source: 'src/traits.rs', lines 150:0-150:22 -/ +structure BoolWrapper where + _0 : Bool + +/- [traits::{traits::BoolWrapper#7}::to_type]: forward function + Source: 'src/traits.rs', lines 156:4-156:25 -/ +def BoolWrapper.to_type + (T : Type) (ToTypeBoolTInst : ToType Bool T) (self : BoolWrapper) : + Result T + := + ToTypeBoolTInst.to_type self._0 + +/- Trait implementation: [traits::{traits::BoolWrapper#7}] + Source: 'src/traits.rs', lines 152:0-152:33 -/ +def traits.ToTypetraitsBoolWrapperTInst (T : Type) (ToTypeBoolTInst : ToType + Bool T) : ToType BoolWrapper T := { + to_type := BoolWrapper.to_type T ToTypeBoolTInst +} + +/- [traits::WithConstTy::LEN2] + Source: 'src/traits.rs', lines 164:4-164:21 -/ +def with_const_ty_len2_body : Result Usize := Result.ret 32#usize +def with_const_ty_len2_c : Usize := + eval_global with_const_ty_len2_body (by simp) + +/- Trait declaration: [traits::WithConstTy] + Source: 'src/traits.rs', lines 161:0-161:39 -/ +structure WithConstTy (Self : Type) (LEN : Usize) where + LEN1 : Usize + LEN2 : Usize + V : Type + W : Type + W_clause_0 : ToU64 W + f : W → Array U8 LEN → Result W + +/- [traits::{bool#8}::LEN1] + Source: 'src/traits.rs', lines 175:4-175:21 -/ +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 ()) + Source: 'src/traits.rs', lines 180:4-180:39 -/ +def Bool.f (i : U64) (a : Array U8 32#usize) : Result U64 := + Result.ret i + +/- Trait implementation: [traits::{bool#8}] + Source: 'src/traits.rs', lines 174:0-174:29 -/ +def traits.WithConstTyBool32Inst : WithConstTy Bool 32#usize := { + LEN1 := bool_len1_c + LEN2 := with_const_ty_len2_c + V := U8 + W := U64 + W_clause_0 := traits.ToU64U64Inst + f := Bool.f +} + +/- [traits::use_with_const_ty1]: forward function + 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 + +/- [traits::use_with_const_ty2]: forward function + Source: 'src/traits.rs', lines 187:0-187:73 -/ +def use_with_const_ty2 + (H : Type) (LEN : Usize) (WithConstTyHLENInst : WithConstTy H LEN) + (w : WithConstTyHLENInst.W) : + Result Unit + := + Result.ret () + +/- [traits::use_with_const_ty3]: forward function + Source: 'src/traits.rs', lines 189:0-189:80 -/ +def use_with_const_ty3 + (H : Type) (LEN : Usize) (WithConstTyHLENInst : WithConstTy H LEN) + (x : WithConstTyHLENInst.W) : + Result U64 + := + WithConstTyHLENInst.W_clause_0.to_u64 x + +/- [traits::test_where1]: forward function + 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 + Source: 'src/traits.rs', lines 194:0-194:57 -/ +def test_where2 + (T : Type) (WithConstTyT32Inst : WithConstTy T 32#usize) (_x : U32) : + Result Unit + := + Result.ret () + +/- Trait declaration: [traits::ParentTrait0] + Source: 'src/traits.rs', lines 200:0-200:22 -/ +structure ParentTrait0 (Self : Type) where + W : Type + get_name : Self → Result String + get_w : Self → Result W + +/- Trait declaration: [traits::ParentTrait1] + Source: 'src/traits.rs', lines 205:0-205:22 -/ +structure ParentTrait1 (Self : Type) where + +/- Trait declaration: [traits::ChildTrait] + Source: 'src/traits.rs', lines 206:0-206:49 -/ +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 -/ +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 -/ +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 -/ +def order1 + (T U : Type) (ParentTrait0TInst : ParentTrait0 T) (ParentTrait0UInst : + ParentTrait0 U) : + Result Unit + := + Result.ret () + +/- Trait declaration: [traits::ChildTrait1] + Source: 'src/traits.rs', lines 222:0-222:35 -/ +structure ChildTrait1 (Self : Type) where + ParentTrait1SelfInst : ParentTrait1 Self + +/- Trait implementation: [traits::{usize#9}] + Source: 'src/traits.rs', lines 224:0-224:27 -/ +def traits.ParentTrait1UsizeInst : ParentTrait1 Usize := { +} + +/- Trait implementation: [traits::{usize#10}] + Source: 'src/traits.rs', lines 225:0-225:26 -/ +def traits.ChildTrait1UsizeInst : ChildTrait1 Usize := { + ParentTrait1SelfInst := traits.ParentTrait1UsizeInst +} + +/- Trait declaration: [traits::Iterator] + Source: 'src/traits.rs', lines 229:0-229:18 -/ +structure Iterator (Self : Type) where + Item : Type + +/- Trait declaration: [traits::IntoIterator] + Source: 'src/traits.rs', lines 233:0-233:22 -/ +structure IntoIterator (Self : Type) where + Item : Type + IntoIter : Type + IntoIter_clause_0 : Iterator IntoIter + into_iter : Self → Result IntoIter + +/- Trait declaration: [traits::FromResidual] + Source: 'src/traits.rs', lines 250:0-250:21 -/ +structure FromResidual (Self T : Type) where + +/- Trait declaration: [traits::Try] + Source: 'src/traits.rs', lines 246:0-246:48 -/ +structure Try (Self : Type) where + Residual : Type + FromResidualSelftraitsTrySelfResidualInst : FromResidual Self Residual + +/- Trait declaration: [traits::WithTarget] + Source: 'src/traits.rs', lines 252:0-252:20 -/ +structure WithTarget (Self : Type) where + Target : Type + +/- Trait declaration: [traits::ParentTrait2] + Source: 'src/traits.rs', lines 256:0-256:22 -/ +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 -/ +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 -/ +def traits.WithTargetU32Inst : WithTarget U32 := { + Target := U32 +} + +/- Trait implementation: [traits::{u32#12}] + Source: 'src/traits.rs', lines 268:0-268:25 -/ +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 -/ +def U32.convert (x : U32) : Result U32 := + Result.ret x + +/- Trait implementation: [traits::{u32#13}] + Source: 'src/traits.rs', lines 272:0-272:24 -/ +def traits.ChildTrait2U32Inst : ChildTrait2 U32 := { + ParentTrait2SelfInst := traits.ParentTrait2U32Inst + convert := U32.convert +} + +/- Trait declaration: [traits::CFnOnce] + Source: 'src/traits.rs', lines 286:0-286:23 -/ +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 -/ +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 + +/- Trait declaration: [traits::CFn] + Source: 'src/traits.rs', lines 296:0-296:33 -/ +structure CFn (Self Args : Type) where + CFnMutSelfArgsInst : CFnMut Self Args + call_mut : Self → Args → Result + CFnMutSelfArgsInst.CFnOnceSelfArgsInst.Output + +end traits diff --git a/tests/lean/lakefile.lean b/tests/lean/lakefile.lean index 8acf6973..fef94971 100644 --- a/tests/lean/lakefile.lean +++ b/tests/lean/lakefile.lean @@ -19,3 +19,4 @@ package «tests» {} @[default_target] lean_lib paper @[default_target] lean_lib poloniusList @[default_target] lean_lib array +@[default_target] lean_lib traits |