Adding a wrapper to the lean backend to be able to handle more functi…

…ons (#801)

This adds a wrapper to the lean backend, which allows handling additional bitvector operations.
The implemented operations are: length, signExtend, zeroExtend, truncate and truncateLSB.

The wrapper functions are in the namespace Sail.BitVec to avoid collisions.

The remaining unimplemented operations require translating type conditions into Lean, which is not handled for now.

lib/vector.sail

@@ -77,7 +77,11 @@ function neq_bits(x, y) = not_bool(eq_bits(x, y))
 
 overload operator != = {neq_bits}
 
-val bitvector_length = pure {coq: "length_mword", _: "length"} : forall 'n. bits('n) -> int('n)
+val bitvector_length = pure {
+  coq: "length_mword",
+  lean: "Sail.BitVec.length",
+  _: "length"
+} : forall 'n. bits('n) -> int('n)
 
 val vector_length = pure {
   ocaml: "length",
@@ -100,9 +104,15 @@ val print_bits = pure "print_bits" : forall 'n. (string, bits('n)) -> unit
 $[sv_module { stderr = true }]
 val prerr_bits = pure "prerr_bits" : forall 'n. (string, bits('n)) -> unit
 
-val sail_sign_extend = pure "sign_extend" : forall 'n 'm, 'm >= 'n. (bits('n), int('m)) -> bits('m)
+val sail_sign_extend = pure {
+  lean: "Sail.BitVec.signExtend",
+  _: "sign_extend"
+} : forall 'n 'm, 'm >= 'n. (bits('n), int('m)) -> bits('m)
 
-val sail_zero_extend = pure "zero_extend" : forall 'n 'm, 'm >= 'n. (bits('n), int('m)) -> bits('m)
+val sail_zero_extend = pure {
+  lean: "Sail.BitVec.zeroExtend",
+  _: "zero_extend"
+} : forall 'n 'm, 'm >= 'n. (bits('n), int('m)) -> bits('m)
 
 /*!
 THIS`(v, n)` truncates `v`, keeping only the _least_ significant `n` bits.
@@ -112,6 +122,7 @@ val truncate = pure {
   interpreter: "vector_truncate",
   lem: "vector_truncate",
   coq: "vector_truncate",
+  lean: "Sail.BitVec.truncate",
   _: "sail_truncate"
 } : forall 'm 'n, 'm >= 0 & 'm <= 'n. (bits('n), int('m)) -> bits('m)
 
@@ -123,6 +134,7 @@ val truncateLSB = pure {
   interpreter: "vector_truncateLSB",
   lem: "vector_truncateLSB",
   coq: "vector_truncateLSB",
+  lean: "Sail.BitVec.truncateLSB",
   _: "sail_truncateLSB"
 } : forall 'm 'n, 'm >= 0 & 'm <= 'n. (bits('n), int('m)) -> bits('m)
 

src/bin/dune

@@ -239,4 +239,7 @@
    src/gen_lib/sail2_undefined_concurrency_interface.lem)
   (%{workspace_root}/src/gen_lib/sail2_values.lem
    as
-   src/gen_lib/sail2_values.lem)))
+   src/gen_lib/sail2_values.lem)
+  (%{workspace_root}/src/sail_lean_backend/Sail/sail.lean
+   as
+   src/sail_lean_backend/Sail/sail.lean)))

src/sail_lean_backend/Sail/sail.lean

@@ -0,0 +1,19 @@
+namespace Sail
+namespace BitVec
+
+def length {w: Nat} (_: BitVec w): Nat := w
+
+def signExtend {w: Nat} (x: BitVec w) (w': Nat) : BitVec w' :=
+  x.signExtend w'
+
+def zeroExtend {w: Nat} (x: BitVec w) (w': Nat) : BitVec w' :=
+  x.zeroExtend w'
+
+def truncate {w: Nat} (x: BitVec w) (w': Nat) : BitVec w' :=
+  x.truncate w'
+
+def truncateLSB {w: Nat} (x: BitVec w) (w': Nat) : BitVec w' :=
+  x.extractLsb' 0 w'
+
+end BitVec
+end Sail

src/sail_lean_backend/pretty_print_lean.ml

@@ -76,6 +76,7 @@ let rec doc_typ (Typ_aux (t, _) as typ) =
   | Typ_id (Id_aux (Id "int", _)) -> string "Int"
   | Typ_id (Id_aux (Id "bool", _)) -> string "Bool"
   | Typ_id (Id_aux (Id "bit", _)) -> parens (string "BitVec 1")
+  | Typ_id (Id_aux (Id "nat", _)) -> string "Nat"
   | Typ_app (Id_aux (Id "bitvector", _), [A_aux (A_nexp m, _)]) -> string "BitVec " ^^ doc_nexp m
   | Typ_tuple ts -> parens (separate_map (space ^^ string "×" ^^ space) doc_typ ts)
   | Typ_id (Id_aux (Id id, _)) -> string id
@@ -199,5 +200,6 @@ let rec remove_imports (defs : (Libsail.Type_check.tannot, Libsail.Type_check.en
 let pp_ast_lean ({ defs; _ } as ast : Libsail.Type_check.typed_ast) o =
   let defs = remove_imports defs 0 in
   let output : document = separate_map empty doc_def defs in
+  output_string o "import Sail.sail\n\n";
   print o output;
   ()

src/sail_lean_backend/sail_plugin_lean.ml

@@ -147,7 +147,7 @@ let lean_rewrites =
     ("attach_effects", []);
   ]
 
-let create_lake_project (out_name : string) =
+let create_lake_project (out_name : string) default_sail_dir =
   (* Change the base directory if the option '--lean-output-dir' is set *)
   let base_dir = match !opt_lean_output_dir with Some dir -> dir | None -> "." in
   let project_dir = Filename.concat base_dir out_name in
@@ -164,22 +164,24 @@ let create_lake_project (out_name : string) =
   let out_name_camel = Libsail.Util.to_upper_camel_case out_name in
   let lakefile = open_out (Filename.concat project_dir "lakefile.toml") in
   output_string lakefile
-    ("name = \"" ^ out_name ^ "\"\ndefaultTargets = [\"" ^ out_name_camel ^ "\"]\n\n[[lean_lib]]\nname = \""
-   ^ out_name_camel ^ "\""
+    ("name = \"" ^ out_name ^ "\"\ndefaultTargets = [\"" ^ out_name_camel
+   ^ "\"]\n\n[[lean_lib]]\nname = \"Sail\"\n\n[[lean_lib]]\nname = \"" ^ out_name_camel ^ "\""
     );
   close_out lakefile;
+  let sail_dir = Reporting.get_sail_dir default_sail_dir in
+  let _ = Unix.system ("cp -r " ^ sail_dir ^ "/src/sail_lean_backend/Sail " ^ project_dir) in
   let project_main = open_out (Filename.concat project_dir (out_name_camel ^ ".lean")) in
   project_main
 
-let output (out_name : string) ast =
-  let project_main = create_lake_project out_name in
+let output (out_name : string) ast default_sail_dir =
+  let project_main = create_lake_project out_name default_sail_dir in
   (* Uncomment for debug output of the Sail code after the rewrite passes *)
   (* Pretty_print_sail.output_ast stdout (Type_check.strip_ast ast); *)
   Pretty_print_lean.pp_ast_lean ast project_main;
   close_out project_main
 
-let lean_target out_name { ctx; ast; effect_info; env; _ } =
+let lean_target out_name { default_sail_dir; ctx; ast; effect_info; env; _ } =
   let out_name = match out_name with Some f -> f | None -> "out" in
-  output out_name ast
+  output out_name ast default_sail_dir
 
 let _ = Target.register ~name:"lean" ~options:lean_options ~rewrites:lean_rewrites ~asserts_termination:true lean_target

test/lean/bitvec_operation.expected.lean

@@ -1,9 +1,26 @@
+import Sail.sail
+
 def bitvector_eq (x : BitVec 16) (y : BitVec 16) : Bool :=
   (Eq x y)
 
 def bitvector_neq (x : BitVec 16) (y : BitVec 16) : Bool :=
   (Ne x y)
 
+def bitvector_len (x : BitVec 16) : Nat :=
+  (Sail.BitVec.length x)
+
+def bitvector_sign_extend (x : BitVec 16) : BitVec 32 :=
+  (Sail.BitVec.signExtend x 32)
+
+def bitvector_zero_extend (x : BitVec 16) : BitVec 32 :=
+  (Sail.BitVec.zeroExtend x 32)
+
+def bitvector_truncate (x : BitVec 32) : BitVec 16 :=
+  (Sail.BitVec.truncate x 16)
+
+def bitvector_truncateLSB (x : BitVec 32) : BitVec 16 :=
+  (Sail.BitVec.truncateLSB x 16)
+
 def bitvector_append (x : BitVec 16) (y : BitVec 16) : BitVec 32 :=
   (BitVec.append x y)
 
@@ -25,6 +42,12 @@ def bitvector_or (x : BitVec 16) (y : BitVec 16) : BitVec 16 :=
 def bitvector_xor (x : BitVec 16) (y : BitVec 16) : BitVec 16 :=
   (HXor.hXor x y)
 
+def bitvector_unsigned (x : BitVec 16) : Nat :=
+  (BitVec.toNat x)
+
+def bitvector_signed (x : BitVec 16) : Int :=
+  (BitVec.toInt x)
+
 def initialize_registers : Unit :=
   ()
 

test/lean/bitvec_operation.sail

@@ -12,6 +12,31 @@ function bitvector_neq(x, y) = {
   x != y
 }
 
+val bitvector_len : bits(16) -> nat
+function bitvector_len(x) = {
+  length (x)
+}
+
+val bitvector_sign_extend : bits(16) -> bits(32)
+function bitvector_sign_extend(x) = {
+  sail_sign_extend (x, 32)
+}
+
+val bitvector_zero_extend : bits(16) -> bits(32)
+function bitvector_zero_extend(x) = {
+  sail_zero_extend (x, 32)
+}
+
+val bitvector_truncate : bits(32) -> bits(16)
+function bitvector_truncate(x) = {
+  truncate (x, 16)
+}
+
+val bitvector_truncateLSB : bits(32) -> bits(16)
+function bitvector_truncateLSB(x) = {
+  truncateLSB (x, 16)
+}
+
 val bitvector_append : (bits(16), bits(16)) -> bits(32)
 function bitvector_append(x, y) = {
   append (x, y)
@@ -47,3 +72,12 @@ function bitvector_xor(x, y) = {
   xor_vec (x, y)
 }
 
+val bitvector_unsigned : bits(16) -> nat
+function bitvector_unsigned(x) = {
+  unsigned (x)
+}
+
+val bitvector_signed : bits(16) -> int
+function bitvector_signed(x) = {
+  signed (x)
+}

test/lean/enum.expected.lean

@@ -1,3 +1,5 @@
+import Sail.sail
+
 inductive E where | A | B | C
   deriving Inhabited
 

test/lean/extern.expected.lean

@@ -1,3 +1,5 @@
+import Sail.sail
+
 def extern_add : Int :=
   (Int.add 5 4)
 

test/lean/extern_bitvec.expected.lean

@@ -1,3 +1,5 @@
+import Sail.sail
+
 def extern_const : BitVec 64 :=
   (0xFFFF000012340000 : BitVec 64)
 

test/lean/let.expected.lean

@@ -1,3 +1,5 @@
+import Sail.sail
+
 def foo : BitVec 16 :=
   let z := (HOr.hOr (0xFFFF : BitVec 16) (0xABCD : BitVec 16))
   (HAnd.hAnd (0x0000 : BitVec 16) z)

test/lean/trivial.expected.lean

@@ -1,3 +1,5 @@
+import Sail.sail
+
 def foo (y : Unit) : Unit :=
   y
 

test/lean/tuples.expected.lean

@@ -1,3 +1,5 @@
+import Sail.sail
+
 def tuple1 : (Int × Int × (BitVec 2 × Unit)) :=
   (3, 5, ((0b10 : BitVec 2), ()))