diff options
Diffstat (limited to '')
| -rw-r--r-- | backends/lean/Base/Primitives/Array.lean | 80 | ||||
| -rw-r--r-- | compiler/Assumed.ml | 33 | ||||
| -rw-r--r-- | compiler/Extract.ml | 58 | ||||
| -rw-r--r-- | compiler/InterpreterStatements.ml | 2 | ||||
| -rw-r--r-- | compiler/PrintPure.ml | 1 | ||||
| -rw-r--r-- | compiler/PureMicroPasses.ml | 3 |
6 files changed, 100 insertions, 77 deletions
diff --git a/backends/lean/Base/Primitives/Array.lean b/backends/lean/Base/Primitives/Array.lean index d19e9144..2d4a567b 100644 --- a/backends/lean/Base/Primitives/Array.lean +++ b/backends/lean/Base/Primitives/Array.lean @@ -14,7 +14,7 @@ namespace Primitives open Result Error -abbrev Array (α : Type u) (n : Usize) := { l : List α // l.length = n.val } +def Array (α : Type u) (n : Usize) := { l : List α // l.length = n.val } instance (a : Type u) (n : Usize) : Arith.HasIntProp (Array a n) where prop_ty := λ v => v.val.len = n.val @@ -33,19 +33,10 @@ abbrev Array.v {α : Type u} {n : Usize} (v : Array α n) : List α := v.val example {α: Type u} {n : Usize} (v : Array α n) : v.length ≤ Scalar.max ScalarTy.Usize := by scalar_tac -def Array.mk (α : Type u) (n : Usize) (init : List α) (hl : init.len = n.val := by decide) : +def Array.make (α : Type u) (n : Usize) (init : List α) (hl : init.len = n.val := by decide) : Array α n := ⟨ init, by simp [← List.len_eq_length]; apply hl ⟩ -example : Array Int (Usize.ofInt 2) := Array.mk Int (Usize.ofInt 2) [0, 1] - --- Remark: not used yet, but could be used if explicit calls to Len are used in Rust --- TODO: very annoying that the α and the n are explicit parameters -def Array.len (α : Type u) (n : Usize) (v : Array α n) : Usize := - Usize.ofIntCore v.val.len (by scalar_tac) (by scalar_tac) - -@[simp] -theorem Array.len_val {α : Type u} {n : Usize} (v : Array α n) : (Array.len α n v).val = v.length := - by rfl +example : Array Int (Usize.ofInt 2) := Array.make Int (Usize.ofInt 2) [0, 1] @[simp] abbrev Array.index {α : Type u} {n : Usize} [Inhabited α] (v : Array α n) (i : Int) : α := @@ -81,7 +72,7 @@ def Array.index_shared_back (α : Type u) (n : Usize) (v: Array α n) (i: Usize) else .fail arrayOutOfBounds -def Array.index_mut (α : Type u) (v: Array α n) (i: Usize) : Result α := +def Array.index_mut (α : Type u) (n : Usize) (v: Array α n) (i: Usize) : Result α := match v.val.indexOpt i.val with | none => fail .arrayOutOfBounds | some x => ret x @@ -89,13 +80,13 @@ def Array.index_mut (α : Type u) (v: Array α n) (i: Usize) : Result α := @[pspec] theorem Array.index_mut_spec {α : Type u} {n : Usize} [Inhabited α] (v: Array α n) (i: Usize) (hbound : i.val < v.length) : - ∃ x, v.index_mut α i = ret x ∧ x = v.val.index i.val := by + ∃ x, v.index_mut α n i = ret x ∧ x = v.val.index i.val := by simp only [index_mut] -- TODO: dependent rewrite have h := List.indexOpt_eq_index v.val i.val (by scalar_tac) (by simp [*]) simp [*] -def Array.index_mut_back (α : Type u) (v: Array α n) (i: Usize) (x: α) : Result (Array α n) := +def Array.index_mut_back (α : Type u) (n : Usize) (v: Array α n) (i: Usize) (x: α) : Result (Array α n) := match v.val.indexOpt i.val with | none => fail .arrayOutOfBounds | some _ => @@ -104,7 +95,7 @@ def Array.index_mut_back (α : Type u) (v: Array α n) (i: Usize) (x: α) : Resu @[pspec] theorem Array.index_mut_back_spec {α : Type u} {n : Usize} (v: Array α n) (i: Usize) (x : α) (hbound : i.val < v.length) : - ∃ nv, v.index_mut_back α i x = ret nv ∧ + ∃ nv, v.index_mut_back α n i x = ret nv ∧ nv.val = v.val.update i.val x := by simp only [index_mut_back] @@ -209,6 +200,11 @@ theorem Slice.index_mut_back_spec {α : Type u} (v: Slice α) (i: Usize) (x : α . simp_all /- Array to slice/subslices -/ + +/- We could make this function not use the `Result` type. By making it monadic, we + push the user to use the `Array.to_slice_spec` spec theorem below (through the + `progress` tactic), meaning `Array.to_slice` should be considered as opaque. + All what the spec theorem reveals is that the "representative" lists are the same. -/ def Array.to_slice (α : Type u) (n : Usize) (v : Array α n) : Result (Slice α) := ret ⟨ v.val, by simp [← List.len_eq_length]; scalar_tac ⟩ @@ -233,7 +229,7 @@ theorem Array.to_mut_slice_back_spec {α : Type u} {n : Usize} (a : Array α n) ∃ na, to_mut_slice_back α n a ns = ret na ∧ na.val = ns.val := by simp [to_mut_slice_back, *] -def Array.shared_subslice (α : Type u) (n : Usize) (a : Array α n) (r : Range Usize) : Result (Slice α) := +def Array.subslice_shared (α : Type u) (n : Usize) (a : Array α n) (r : Range Usize) : Result (Slice α) := -- TODO: not completely sure here if r.start.val < r.end_.val ∧ r.end_.val ≤ a.val.len then ret ⟨ a.val.slice r.start.val r.end_.val, @@ -245,29 +241,29 @@ def Array.shared_subslice (α : Type u) (n : Usize) (a : Array α n) (r : Range fail panic @[pspec] -theorem Array.shared_subslice_spec {α : Type u} {n : Usize} [Inhabited α] (a : Array α n) (r : Range Usize) +theorem Array.subslice_shared_spec {α : Type u} {n : Usize} [Inhabited α] (a : Array α n) (r : Range Usize) (h0 : r.start.val < r.end_.val) (h1 : r.end_.val ≤ a.val.len) : - ∃ s, shared_subslice α n a r = ret s ∧ + ∃ s, subslice_shared α n a r = ret s ∧ s.val = a.val.slice r.start.val r.end_.val ∧ (∀ i, 0 ≤ i → i + r.start.val < r.end_.val → s.val.index i = a.val.index (r.start.val + i)) := by - simp [shared_subslice, *] + simp [subslice_shared, *] intro i _ _ have := List.index_slice r.start.val r.end_.val i a.val (by scalar_tac) (by scalar_tac) (by trivial) (by scalar_tac) simp [*] -def Array.mut_subslice (α : Type u) (n : Usize) (a : Array α n) (r : Range Usize) : Result (Slice α) := - Array.shared_subslice α n a r +def Array.subslice_mut (α : Type u) (n : Usize) (a : Array α n) (r : Range Usize) : Result (Slice α) := + Array.subslice_shared α n a r @[pspec] -theorem Array.mut_subslice_spec {α : Type u} {n : Usize} [Inhabited α] (a : Array α n) (r : Range Usize) +theorem Array.subslice_mut_spec {α : Type u} {n : Usize} [Inhabited α] (a : Array α n) (r : Range Usize) (h0 : r.start.val < r.end_.val) (h1 : r.end_.val ≤ a.val.len) : - ∃ s, mut_subslice α n a r = ret s ∧ + ∃ s, subslice_mut α n a r = ret s ∧ s.val = a.slice r.start.val r.end_.val ∧ (∀ i, 0 ≤ i → i + r.start.val < r.end_.val → s.val.index i = a.val.index (r.start.val + i)) - := shared_subslice_spec a r h0 h1 + := subslice_shared_spec a r h0 h1 -def Array.mut_subslice_back (α : Type u) (n : Usize) (a : Array α n) (r : Range Usize) (s : Slice α) : Result (Array α n) := +def Array.subslice_mut_back (α : Type u) (n : Usize) (a : Array α n) (r : Range Usize) (s : Slice α) : Result (Array α n) := -- TODO: not completely sure here if h: r.start.val < r.end_.val ∧ r.end_.val ≤ a.length ∧ s.val.len = r.end_.val - r.start.val then let s_beg := a.val.itake r.start.val @@ -292,13 +288,13 @@ def Array.mut_subslice_back (α : Type u) (n : Usize) (a : Array α n) (r : Rang -- We should introduce special symbols for the monadic arithmetic operations -- (the use will never write those symbols directly). @[pspec] -theorem Array.mut_subslice_back_spec {α : Type u} {n : Usize} [Inhabited α] (a : Array α n) (r : Range Usize) (s : Slice α) +theorem Array.subslice_mut_back_spec {α : Type u} {n : Usize} [Inhabited α] (a : Array α n) (r : Range Usize) (s : Slice α) (_ : r.start.val < r.end_.val) (_ : r.end_.val ≤ a.length) (_ : s.length = r.end_.val - r.start.val) : - ∃ na, mut_subslice_back α n a r s = ret na ∧ + ∃ na, subslice_mut_back α n a r s = ret na ∧ (∀ i, 0 ≤ i → i < r.start.val → na.index i = a.index i) ∧ (∀ i, r.start.val ≤ i → i < r.end_.val → na.index i = s.index (i - r.start.val)) ∧ (∀ i, r.end_.val ≤ i → i < n.val → na.index i = a.index i) := by - simp [mut_subslice_back, *] + simp [subslice_mut_back, *] have h := List.replace_slice_index r.start.val r.end_.val a.val s.val (by scalar_tac) (by scalar_tac) (by scalar_tac) (by scalar_tac) simp [List.replace_slice] at h @@ -315,7 +311,7 @@ theorem Array.mut_subslice_back_spec {α : Type u} {n : Usize} [Inhabited α] (a have := h2 i (by int_tac) (by int_tac) simp [*] -def Slice.shared_subslice (α : Type u) (s : Slice α) (r : Range Usize) : Result (Slice α) := +def Slice.subslice_shared (α : Type u) (s : Slice α) (r : Range Usize) : Result (Slice α) := -- TODO: not completely sure here if r.start.val < r.end_.val ∧ r.end_.val ≤ s.length then ret ⟨ s.val.slice r.start.val r.end_.val, @@ -327,32 +323,32 @@ def Slice.shared_subslice (α : Type u) (s : Slice α) (r : Range Usize) : Resul fail panic @[pspec] -theorem Slice.shared_subslice_spec {α : Type u} [Inhabited α] (s : Slice α) (r : Range Usize) +theorem Slice.subslice_shared_spec {α : Type u} [Inhabited α] (s : Slice α) (r : Range Usize) (h0 : r.start.val < r.end_.val) (h1 : r.end_.val ≤ s.val.len) : - ∃ ns, shared_subslice α s r = ret ns ∧ + ∃ ns, subslice_shared α s r = ret ns ∧ ns.val = s.slice r.start.val r.end_.val ∧ (∀ i, 0 ≤ i → i + r.start.val < r.end_.val → ns.index i = s.index (r.start.val + i)) := by - simp [shared_subslice, *] + simp [subslice_shared, *] intro i _ _ have := List.index_slice r.start.val r.end_.val i s.val (by scalar_tac) (by scalar_tac) (by trivial) (by scalar_tac) simp [*] -def Slice.mut_subslice (α : Type u) (s : Slice α) (r : Range Usize) : Result (Slice α) := - Slice.shared_subslice α s r +def Slice.subslice_mut (α : Type u) (s : Slice α) (r : Range Usize) : Result (Slice α) := + Slice.subslice_shared α s r @[pspec] -theorem Slice.mut_subslice_spec {α : Type u} [Inhabited α] (s : Slice α) (r : Range Usize) +theorem Slice.subslice_mut_spec {α : Type u} [Inhabited α] (s : Slice α) (r : Range Usize) (h0 : r.start.val < r.end_.val) (h1 : r.end_.val ≤ s.val.len) : - ∃ ns, mut_subslice α s r = ret ns ∧ + ∃ ns, subslice_mut α s r = ret ns ∧ ns.val = s.slice r.start.val r.end_.val ∧ (∀ i, 0 ≤ i → i + r.start.val < r.end_.val → ns.index i = s.index (r.start.val + i)) - := shared_subslice_spec s r h0 h1 + := subslice_shared_spec s r h0 h1 attribute [pp_dot] List.len List.length List.index -- use the dot notation when printing set_option pp.coercions false -- do not print coercions with ↑ (this doesn't parse) -def Slice.mut_subslice_back (α : Type u) (s : Slice α) (r : Range Usize) (ss : Slice α) : Result (Slice α) := +def Slice.subslice_mut_back (α : Type u) (s : Slice α) (r : Range Usize) (ss : Slice α) : Result (Slice α) := -- TODO: not completely sure here if h: r.start.val < r.end_.val ∧ r.end_.val ≤ s.length ∧ ss.val.len = r.end_.val - r.start.val then let s_beg := s.val.itake r.start.val @@ -372,13 +368,13 @@ def Slice.mut_subslice_back (α : Type u) (s : Slice α) (r : Range Usize) (ss : fail panic @[pspec] -theorem Slice.mut_subslice_back_spec {α : Type u} [Inhabited α] (a : Slice α) (r : Range Usize) (ss : Slice α) +theorem Slice.subslice_mut_back_spec {α : Type u} [Inhabited α] (a : Slice α) (r : Range Usize) (ss : Slice α) (_ : r.start.val < r.end_.val) (_ : r.end_.val ≤ a.length) (_ : ss.length = r.end_.val - r.start.val) : - ∃ na, mut_subslice_back α a r ss = ret na ∧ + ∃ na, subslice_mut_back α a r ss = ret na ∧ (∀ i, 0 ≤ i → i < r.start.val → na.index i = a.index i) ∧ (∀ i, r.start.val ≤ i → i < r.end_.val → na.index i = ss.index (i - r.start.val)) ∧ (∀ i, r.end_.val ≤ i → i < a.length → na.index i = a.index i) := by - simp [mut_subslice_back, *] + simp [subslice_mut_back, *] have h := List.replace_slice_index r.start.val r.end_.val a.val ss.val (by scalar_tac) (by scalar_tac) (by scalar_tac) (by scalar_tac) simp [List.replace_slice, *] at h diff --git a/compiler/Assumed.ml b/compiler/Assumed.ml index e0a2efea..572b0a24 100644 --- a/compiler/Assumed.ml +++ b/compiler/Assumed.ml @@ -347,20 +347,42 @@ module Sig = struct let slice_subslice_sig (is_mut : bool) = mk_array_slice_subslice_sig false is_mut + + (** Helper: + [fn<T>(&'a [T]) -> usize] + *) + let slice_len_sig : A.fun_sig = + (* The signature fields *) + let region_params = [ region_param_0 ] in + let regions_hierarchy = [ region_group_0 ] (* <'a> *) in + let type_params = [ type_param_0 ] (* <T> *) in + let inputs = + [ mk_ref_ty rvar_0 (mk_slice_ty tvar_0) false (* &'a [T] *) ] + in + let output = mk_usize_ty (* usize *) in + { + region_params; + num_early_bound_regions = 0; + regions_hierarchy; + type_params; + const_generic_params = empty_const_generic_params; + inputs; + output; + } end type assumed_info = A.assumed_fun_id * A.fun_sig * bool * name (** The list of assumed functions and all their information: - their signature - - a boolean indicating whether the function can fail or not + - a boolean indicating whether the function can fail or not (if true: can fail) - their name Rk.: following what is written above, we don't include [Box::free]. - + Remark about the vector functions: for [Vec::len] to be correct and return a [usize], we have to make sure that vectors are bounded by the max usize. - Followingly, [Vec::push] is monadic. + As a consequence, [Vec::push] is monadic. *) let assumed_infos : assumed_info list = let deref_pre = [ "core"; "ops"; "deref" ] in @@ -402,11 +424,11 @@ let assumed_infos : assumed_info list = (* Array to slice*) ( ArrayToSharedSlice, Sig.array_to_slice_sig false, - false, + true, to_name [ "@ArrayToSharedSlice" ] ); ( ArrayToMutSlice, Sig.array_to_slice_sig true, - false, + true, to_name [ "@ArrayToMutSlice" ] ); (* Array Subslice *) ( ArraySharedSubslice, @@ -432,6 +454,7 @@ let assumed_infos : assumed_info list = Sig.slice_subslice_sig true, true, to_name [ "@SliceMutSubslice" ] ); + (SliceLen, Sig.slice_len_sig, false, to_name [ "@SliceLen" ]); ] let get_assumed_info (id : A.assumed_fun_id) : assumed_info = diff --git a/compiler/Extract.ml b/compiler/Extract.ml index 1de7d68b..84d11895 100644 --- a/compiler/Extract.ml +++ b/compiler/Extract.ml @@ -261,7 +261,7 @@ let assumed_adts () : (assumed_ty * string) list = let assumed_struct_constructors () : (assumed_ty * string) list = match !backend with - | Lean -> [ (Range, "Range.mk"); (Array, "Array.mk") ] + | Lean -> [ (Range, "Range.mk"); (Array, "Array.make") ] | Coq -> [ (Range, "range.mk"); (Array, "array.mk") ] | FStar -> [ (Range, "mkrange"); (Array, "mkarray") ] | HOL4 -> [ (Range, "mk_range"); (Array, "mk_array") ] @@ -329,21 +329,22 @@ let assumed_llbc_functions () : (VecIndex, rg0, "vec_index_back") (* shouldn't be used *); (VecIndexMut, None, "vec_index_mut_fwd"); (VecIndexMut, rg0, "vec_index_mut_back"); - (ArraySharedIndex, None, "array_index"); - (ArrayMutIndex, None, "array_mut_index_fwd"); - (ArrayMutIndex, rg0, "array_mut_index_back"); + (ArraySharedIndex, None, "array_index_shared"); + (ArrayMutIndex, None, "array_index_mut_fwd"); + (ArrayMutIndex, rg0, "array_index_mut_back"); (ArrayToSharedSlice, None, "array_to_slice"); (ArrayToMutSlice, None, "array_to_mut_slice_fwd"); (ArrayToMutSlice, rg0, "array_to_mut_slice_back"); - (ArraySharedSubslice, None, "array_subslice"); - (ArrayMutSubslice, None, "array_mut_subslice_fwd"); - (ArrayMutSubslice, rg0, "array_mut_subslice_back"); - (SliceSharedIndex, None, "slice_index"); - (SliceMutIndex, None, "slice_mut_index_fwd"); - (SliceMutIndex, rg0, "slice_mut_index_back"); - (SliceSharedSubslice, None, "slice_subslice"); - (SliceMutSubslice, None, "slice_mut_subslice_fwd"); - (SliceMutSubslice, rg0, "slice_mut_subslice_back"); + (ArraySharedSubslice, None, "array_subslice_shared"); + (ArrayMutSubslice, None, "array_subslice_mut_fwd"); + (ArrayMutSubslice, rg0, "array_subslice_mut_back"); + (SliceSharedIndex, None, "slice_index_shared"); + (SliceMutIndex, None, "slice_index_mut_fwd"); + (SliceMutIndex, rg0, "slice_index_mut_back"); + (SliceSharedSubslice, None, "slice_subslice_mut"); + (SliceMutSubslice, None, "slice_subslice_mut_fwd"); + (SliceMutSubslice, rg0, "slice_subslice_mut_back"); + (SliceLen, None, "slice_len_fwd"); ] | Lean -> [ @@ -355,27 +356,28 @@ let assumed_llbc_functions () : (VecInsert, None, "Vec.insert_fwd") (* Shouldn't be used *); (VecInsert, rg0, "Vec.insert"); (VecLen, None, "Vec.len"); - (VecIndex, None, "Vec.index"); - (VecIndex, rg0, "Vec.index_back") (* shouldn't be used *); + (VecIndex, None, "Vec.index_shared"); + (VecIndex, rg0, "Vec.index_shared_back") (* shouldn't be used *); (VecIndexMut, None, "Vec.index_mut"); (VecIndexMut, rg0, "Vec.index_mut_back"); - (* TODO: it would be good to only use Array.index (no Array.mut_index) + (* TODO: it would be good to only use Array.index (no Array.index_mut) (same for subslice, etc.) *) - (ArraySharedIndex, None, "Array.index"); - (ArrayMutIndex, None, "Array.mut_index"); - (ArrayMutIndex, rg0, "Array.mut_index_back"); + (ArraySharedIndex, None, "Array.index_shared"); + (ArrayMutIndex, None, "Array.index_mut"); + (ArrayMutIndex, rg0, "Array.index_mut_back"); (ArrayToSharedSlice, None, "Array.to_slice"); (ArrayToMutSlice, None, "Array.to_mut_slice"); (ArrayToMutSlice, rg0, "Array.to_mut_slice_back"); - (ArraySharedSubslice, None, "Array.subslice"); - (ArrayMutSubslice, None, "Array.mut_subslice"); - (ArrayMutSubslice, rg0, "Array.mut_subslice_back"); - (SliceSharedIndex, None, "Slice.index"); - (SliceMutIndex, None, "Slice.mut_index"); - (SliceMutIndex, rg0, "Slice.mut_index_back"); - (SliceSharedSubslice, None, "Slice.subslice"); - (SliceMutSubslice, None, "Slice.mut_subslice"); - (SliceMutSubslice, rg0, "Slice.mut_subslice_back"); + (ArraySharedSubslice, None, "Array.subslice_shared"); + (ArrayMutSubslice, None, "Array.subslice_mut"); + (ArrayMutSubslice, rg0, "Array.subslice_mut_back"); + (SliceSharedIndex, None, "Slice.index_shared"); + (SliceMutIndex, None, "Slice.index_mut"); + (SliceMutIndex, rg0, "Slice.index_mut_back"); + (SliceSharedSubslice, None, "Slice.subslice_shared"); + (SliceMutSubslice, None, "Slice.subslice_mut"); + (SliceMutSubslice, rg0, "Slice.subslice_mut_back"); + (SliceLen, None, "Slice.len"); ] let assumed_pure_functions () : (pure_assumed_fun_id * string) list = diff --git a/compiler/InterpreterStatements.ml b/compiler/InterpreterStatements.ml index 207acef6..157cca38 100644 --- a/compiler/InterpreterStatements.ml +++ b/compiler/InterpreterStatements.ml @@ -647,7 +647,7 @@ let eval_non_local_function_call_concrete (config : C.config) | ArraySharedIndex | ArrayMutIndex | ArrayToSharedSlice | ArrayToMutSlice | ArraySharedSubslice | ArrayMutSubslice | SliceSharedIndex | SliceMutIndex | SliceSharedSubslice - | SliceMutSubslice -> + | SliceMutSubslice | SliceLen -> raise (Failure "Unimplemented") in diff --git a/compiler/PrintPure.ml b/compiler/PrintPure.ml index 43b11aa5..ad7ab05f 100644 --- a/compiler/PrintPure.ml +++ b/compiler/PrintPure.ml @@ -512,6 +512,7 @@ let llbc_assumed_fun_id_to_string (fid : A.assumed_fun_id) : string = | ArrayToMutSlice -> "@ArrayToMutSlice" | ArraySharedSubslice -> "@ArraySharedSubslice" | ArrayMutSubslice -> "@ArrayMutSubslice" + | SliceLen -> "@SliceLen" | SliceSharedIndex -> "@SliceSharedIndex" | SliceMutIndex -> "@SliceMutIndex" | SliceSharedSubslice -> "@SliceSharedSubslice" diff --git a/compiler/PureMicroPasses.ml b/compiler/PureMicroPasses.ml index 58a5f9e2..52eeee26 100644 --- a/compiler/PureMicroPasses.ml +++ b/compiler/PureMicroPasses.ml @@ -1567,7 +1567,8 @@ let eliminate_box_functions (_ctx : trans_ctx) (def : fun_decl) : fun_decl = | VecIndex | VecIndexMut | ArraySharedSubslice | ArrayMutSubslice | SliceSharedIndex | SliceMutIndex | SliceSharedSubslice | SliceMutSubslice | ArraySharedIndex - | ArrayMutIndex | ArrayToSharedSlice | ArrayToMutSlice ), + | ArrayMutIndex | ArrayToSharedSlice | ArrayToMutSlice + | SliceLen ), _ ) -> super#visit_texpression env e) | _ -> super#visit_texpression env e) |