(** This module defines printing functions for the types defined in Pure.ml *) open Pure open PureUtils type type_formatter = { type_var_id_to_string : TypeVarId.id -> string; type_decl_id_to_string : TypeDeclId.id -> string; } type value_formatter = { type_var_id_to_string : TypeVarId.id -> string; type_decl_id_to_string : TypeDeclId.id -> string; adt_variant_to_string : TypeDeclId.id -> VariantId.id -> string; var_id_to_string : VarId.id -> string; adt_field_names : TypeDeclId.id -> VariantId.id option -> string list option; } let value_to_type_formatter (fmt : value_formatter) : type_formatter = { type_var_id_to_string = fmt.type_var_id_to_string; type_decl_id_to_string = fmt.type_decl_id_to_string; } (* TODO: we need to store which variables we have encountered so far, and remove [var_id_to_string]. *) type ast_formatter = { type_var_id_to_string : TypeVarId.id -> string; type_decl_id_to_string : TypeDeclId.id -> string; adt_variant_to_string : TypeDeclId.id -> VariantId.id -> string; var_id_to_string : VarId.id -> string; adt_field_to_string : TypeDeclId.id -> VariantId.id option -> FieldId.id -> string option; adt_field_names : TypeDeclId.id -> VariantId.id option -> string list option; fun_decl_id_to_string : FunDeclId.id -> string; global_decl_id_to_string : GlobalDeclId.id -> string; } let ast_to_value_formatter (fmt : ast_formatter) : value_formatter = { type_var_id_to_string = fmt.type_var_id_to_string; type_decl_id_to_string = fmt.type_decl_id_to_string; adt_variant_to_string = fmt.adt_variant_to_string; var_id_to_string = fmt.var_id_to_string; adt_field_names = fmt.adt_field_names; } let ast_to_type_formatter (fmt : ast_formatter) : type_formatter = let fmt = ast_to_value_formatter fmt in value_to_type_formatter fmt let name_to_string = Print.name_to_string let fun_name_to_string = Print.fun_name_to_string let global_name_to_string = Print.global_name_to_string let option_to_string = Print.option_to_string let type_var_to_string = Print.Types.type_var_to_string let integer_type_to_string = Print.Types.integer_type_to_string let scalar_value_to_string = Print.PrimitiveValues.scalar_value_to_string let mk_type_formatter (type_decls : T.type_decl TypeDeclId.Map.t) (type_params : type_var list) : type_formatter = let type_var_id_to_string vid = let var = T.TypeVarId.nth type_params vid in type_var_to_string var in let type_decl_id_to_string def_id = let def = T.TypeDeclId.Map.find def_id type_decls in name_to_string def.name in { type_var_id_to_string; type_decl_id_to_string } (* TODO: there is a bit of duplication with Print.fun_decl_to_ast_formatter. TODO: use the pure defs as inputs? Note that it is a bit annoying for the functions (there is a difference between the forward/backward functions...) while we only need those definitions to lookup proper names for the def ids. *) let mk_ast_formatter (type_decls : T.type_decl TypeDeclId.Map.t) (fun_decls : A.fun_decl FunDeclId.Map.t) (global_decls : A.global_decl GlobalDeclId.Map.t) (type_params : type_var list) : ast_formatter = let type_var_id_to_string vid = let var = T.TypeVarId.nth type_params vid in type_var_to_string var in let type_decl_id_to_string def_id = let def = T.TypeDeclId.Map.find def_id type_decls in name_to_string def.name in let adt_variant_to_string = Print.Types.type_ctx_to_adt_variant_to_string_fun type_decls in let var_id_to_string vid = (* TODO: somehow lookup in the context *) "^" ^ VarId.to_string vid in let adt_field_names = Print.Types.type_ctx_to_adt_field_names_fun type_decls in let adt_field_to_string = Print.Types.type_ctx_to_adt_field_to_string_fun type_decls in let fun_decl_id_to_string def_id = let def = FunDeclId.Map.find def_id fun_decls in fun_name_to_string def.name in let global_decl_id_to_string def_id = let def = GlobalDeclId.Map.find def_id global_decls in global_name_to_string def.name in { type_var_id_to_string; type_decl_id_to_string; adt_variant_to_string; var_id_to_string; adt_field_names; adt_field_to_string; fun_decl_id_to_string; global_decl_id_to_string; } let type_id_to_string (fmt : type_formatter) (id : type_id) : string = match id with | AdtId id -> fmt.type_decl_id_to_string id | Tuple -> "" | Assumed aty -> ( match aty with | State -> "State" | Result -> "Result" | Error -> "Error" | Fuel -> "Fuel" | Option -> "Option" | Vec -> "Vec") let rec ty_to_string (fmt : type_formatter) (inside : bool) (ty : ty) : string = match ty with | Adt (id, tys) -> ( let tys = List.map (ty_to_string fmt false) tys in match id with | Tuple -> "(" ^ String.concat " * " tys ^ ")" | AdtId _ | Assumed _ -> let tys_s = if tys = [] then "" else " " ^ String.concat " " tys in let ty_s = type_id_to_string fmt id ^ tys_s in if tys <> [] && inside then "(" ^ ty_s ^ ")" else ty_s) | TypeVar tv -> fmt.type_var_id_to_string tv | Bool -> "bool" | Char -> "char" | Integer int_ty -> integer_type_to_string int_ty | Str -> "str" | Array aty -> "[" ^ ty_to_string fmt false aty ^ "; ?]" | Slice sty -> "[" ^ ty_to_string fmt false sty ^ "]" | Arrow (arg_ty, ret_ty) -> let ty = ty_to_string fmt true arg_ty ^ " -> " ^ ty_to_string fmt false ret_ty in if inside then "(" ^ ty ^ ")" else ty let field_to_string fmt inside (f : field) : string = match f.field_name with | None -> ty_to_string fmt inside f.field_ty | Some field_name -> let s = field_name ^ " : " ^ ty_to_string fmt false f.field_ty in if inside then "(" ^ s ^ ")" else s let variant_to_string fmt (v : variant) : string = v.variant_name ^ "(" ^ String.concat ", " (List.map (field_to_string fmt false) v.fields) ^ ")" let type_decl_to_string (fmt : type_formatter) (def : type_decl) : string = let types = def.type_params in let name = name_to_string def.name in let params = if types = [] then "" else " " ^ String.concat " " (List.map type_var_to_string types) in match def.kind with | Struct fields -> if List.length fields > 0 then let fields = String.concat "," (List.map (fun f -> "\n " ^ field_to_string fmt false f) fields) in "struct " ^ name ^ params ^ "{" ^ fields ^ "}" else "struct " ^ name ^ params ^ "{}" | Enum variants -> let variants = List.map (fun v -> "| " ^ variant_to_string fmt v) variants in let variants = String.concat "\n" variants in "enum " ^ name ^ params ^ " =\n" ^ variants | Opaque -> "opaque type " ^ name ^ params let var_to_varname (v : var) : string = match v.basename with | Some name -> name ^ "^" ^ VarId.to_string v.id | None -> "^" ^ VarId.to_string v.id let var_to_string (fmt : type_formatter) (v : var) : string = let varname = var_to_varname v in "(" ^ varname ^ " : " ^ ty_to_string fmt false v.ty ^ ")" let rec mprojection_to_string (fmt : ast_formatter) (inside : string) (p : mprojection) : string = match p with | [] -> inside | pe :: p' -> ( let s = mprojection_to_string fmt inside p' in match pe.pkind with | E.ProjOption variant_id -> assert (variant_id = T.option_some_id); assert (pe.field_id = T.FieldId.zero); "(" ^ s ^ "as Option::Some)." ^ T.FieldId.to_string pe.field_id | E.ProjTuple _ -> "(" ^ s ^ ")." ^ T.FieldId.to_string pe.field_id | E.ProjAdt (adt_id, opt_variant_id) -> ( let field_name = match fmt.adt_field_to_string adt_id opt_variant_id pe.field_id with | Some field_name -> field_name | None -> T.FieldId.to_string pe.field_id in match opt_variant_id with | None -> "(" ^ s ^ ")." ^ field_name | Some variant_id -> let variant_name = fmt.adt_variant_to_string adt_id variant_id in "(" ^ s ^ " as " ^ variant_name ^ ")." ^ field_name)) let mplace_to_string (fmt : ast_formatter) (p : mplace) : string = let name = match p.name with None -> "" | Some name -> name in (* We add the "llbc" suffix to the variable index, because meta-places * use indices of the variables in the original LLBC program, while * regular places use indices for the pure variables: we want to make * this explicit, otherwise it is confusing. *) let name = name ^ "^" ^ E.VarId.to_string p.var_id ^ "llbc" in mprojection_to_string fmt name p.projection let adt_variant_to_string (fmt : value_formatter) (adt_id : type_id) (variant_id : VariantId.id option) : string = match adt_id with | Tuple -> "Tuple" | AdtId def_id -> ( (* "Regular" ADT *) match variant_id with | Some vid -> fmt.adt_variant_to_string def_id vid | None -> fmt.type_decl_id_to_string def_id) | Assumed aty -> ( (* Assumed type *) match aty with | State -> (* This type is opaque: we can't get there *) raise (Failure "Unreachable") | Result -> let variant_id = Option.get variant_id in if variant_id = result_return_id then "@Result::Return" else if variant_id = result_fail_id then "@Result::Fail" else raise (Failure "Unreachable: improper variant id for result type") | Error -> let variant_id = Option.get variant_id in if variant_id = error_failure_id then "@Error::Failure" else if variant_id = error_out_of_fuel_id then "@Error::OutOfFuel" else raise (Failure "Unreachable: improper variant id for error type") | Fuel -> let variant_id = Option.get variant_id in if variant_id = fuel_zero_id then "@Fuel::Zero" else if variant_id = fuel_succ_id then "@Fuel::Succ" else raise (Failure "Unreachable: improper variant id for fuel type") | Option -> let variant_id = Option.get variant_id in if variant_id = option_some_id then "@Option::Some " else if variant_id = option_none_id then "@Option::None" else raise (Failure "Unreachable: improper variant id for result type") | Vec -> assert (variant_id = None); "Vec") let adt_field_to_string (fmt : value_formatter) (adt_id : type_id) (field_id : FieldId.id) : string = match adt_id with | Tuple -> raise (Failure "Unreachable") (* Tuples don't use the opaque field id for the field indices, but [int] *) | AdtId def_id -> ( (* "Regular" ADT *) let fields = fmt.adt_field_names def_id None in match fields with | None -> FieldId.to_string field_id | Some fields -> FieldId.nth fields field_id) | Assumed aty -> ( (* Assumed type *) match aty with | State | Fuel | Vec -> (* Opaque types: we can't get there *) raise (Failure "Unreachable") | Result | Error | Option -> (* Enumerations: we can't get there *) raise (Failure "Unreachable")) (** TODO: we don't need a general function anymore (it is now only used for patterns (i.e., patterns) *) let adt_g_value_to_string (fmt : value_formatter) (value_to_string : 'v -> string) (variant_id : VariantId.id option) (field_values : 'v list) (ty : ty) : string = let field_values = List.map value_to_string field_values in match ty with | Adt (Tuple, _) -> (* Tuple *) "(" ^ String.concat ", " field_values ^ ")" | Adt (AdtId def_id, _) -> (* "Regular" ADT *) let adt_ident = match variant_id with | Some vid -> fmt.adt_variant_to_string def_id vid | None -> fmt.type_decl_id_to_string def_id in if field_values <> [] then match fmt.adt_field_names def_id variant_id with | None -> let field_values = String.concat ", " field_values in adt_ident ^ " (" ^ field_values ^ ")" | Some field_names -> let field_values = List.combine field_names field_values in let field_values = List.map (fun (field, value) -> field ^ " = " ^ value ^ ";") field_values in let field_values = String.concat " " field_values in adt_ident ^ " { " ^ field_values ^ " }" else adt_ident | Adt (Assumed aty, _) -> ( (* Assumed type *) match aty with | State -> (* This type is opaque: we can't get there *) raise (Failure "Unreachable") | Result -> let variant_id = Option.get variant_id in if variant_id = result_return_id then match field_values with | [ v ] -> "@Result::Return " ^ v | _ -> raise (Failure "Result::Return takes exactly one value") else if variant_id = result_fail_id then match field_values with | [ v ] -> "@Result::Fail " ^ v | _ -> raise (Failure "Result::Fail takes exactly one value") else raise (Failure "Unreachable: improper variant id for result type") | Error -> assert (field_values = []); let variant_id = Option.get variant_id in if variant_id = error_failure_id then "@Error::Failure" else if variant_id = error_out_of_fuel_id then "@Error::OutOfFuel" else raise (Failure "Unreachable: improper variant id for error type") | Fuel -> let variant_id = Option.get variant_id in if variant_id = fuel_zero_id then ( assert (field_values = []); "@Fuel::Zero") else if variant_id = fuel_succ_id then match field_values with | [ v ] -> "@Fuel::Succ " ^ v | _ -> raise (Failure "@Fuel::Succ takes exactly one value") else raise (Failure "Unreachable: improper variant id for fuel type") | Option -> let variant_id = Option.get variant_id in if variant_id = option_some_id then match field_values with | [ v ] -> "@Option::Some " ^ v | _ -> raise (Failure "Option::Some takes exactly one value") else if variant_id = option_none_id then ( assert (field_values = []); "@Option::None") else raise (Failure "Unreachable: improper variant id for result type") | Vec -> assert (variant_id = None); let field_values = List.mapi (fun i v -> string_of_int i ^ " -> " ^ v) field_values in "Vec [" ^ String.concat "; " field_values ^ "]") | _ -> let fmt = value_to_type_formatter fmt in raise (Failure ("Inconsistently typed value: expected ADT type but found:" ^ "\n- ty: " ^ ty_to_string fmt false ty ^ "\n- variant_id: " ^ Print.option_to_string VariantId.to_string variant_id)) let rec typed_pattern_to_string (fmt : ast_formatter) (v : typed_pattern) : string = match v.value with | PatConstant cv -> Print.PrimitiveValues.primitive_value_to_string cv | PatVar (v, None) -> var_to_string (ast_to_type_formatter fmt) v | PatVar (v, Some mp) -> let mp = "[@mplace=" ^ mplace_to_string fmt mp ^ "]" in "(" ^ var_to_varname v ^ " " ^ mp ^ " : " ^ ty_to_string (ast_to_type_formatter fmt) false v.ty ^ ")" | PatDummy -> "_" | PatAdt av -> adt_g_value_to_string (ast_to_value_formatter fmt) (typed_pattern_to_string fmt) av.variant_id av.field_values v.ty let fun_sig_to_string (fmt : ast_formatter) (sg : fun_sig) : string = let ty_fmt = ast_to_type_formatter fmt in let type_params = List.map type_var_to_string sg.type_params in let inputs = List.map (ty_to_string ty_fmt false) sg.inputs in let output = ty_to_string ty_fmt false sg.output in let all_types = List.concat [ type_params; inputs; [ output ] ] in String.concat " -> " all_types let inst_fun_sig_to_string (fmt : ast_formatter) (sg : inst_fun_sig) : string = let ty_fmt = ast_to_type_formatter fmt in let inputs = List.map (ty_to_string ty_fmt false) sg.inputs in let output = ty_to_string ty_fmt false sg.output in let all_types = List.append inputs [ output ] in String.concat " -> " all_types let fun_suffix (lp_id : LoopId.id option) (rg_id : T.RegionGroupId.id option) : string = let lp_suff = match lp_id with | None -> "" | Some lp_id -> "^loop" ^ LoopId.to_string lp_id in let rg_suff = match rg_id with | None -> "" | Some rg_id -> "@" ^ T.RegionGroupId.to_string rg_id in lp_suff ^ rg_suff let llbc_assumed_fun_id_to_string (fid : A.assumed_fun_id) : string = match fid with | A.Replace -> "core::mem::replace" | A.BoxNew -> "alloc::boxed::Box::new" | A.BoxDeref -> "core::ops::deref::Deref::deref" | A.BoxDerefMut -> "core::ops::deref::DerefMut::deref_mut" | A.BoxFree -> "alloc::alloc::box_free" | A.VecNew -> "alloc::vec::Vec::new" | A.VecPush -> "alloc::vec::Vec::push" | A.VecInsert -> "alloc::vec::Vec::insert" | A.VecLen -> "alloc::vec::Vec::len" | A.VecIndex -> "core::ops::index::Index::index" | A.VecIndexMut -> "core::ops::index::IndexMut::index_mut" let pure_assumed_fun_id_to_string (fid : pure_assumed_fun_id) : string = match fid with | Return -> "return" | Fail -> "fail" | Assert -> "assert" | FuelDecrease -> "fuel_decrease" | FuelEqZero -> "fuel_eq_zero" let regular_fun_id_to_string (fmt : ast_formatter) (fun_id : fun_id) : string = match fun_id with | FromLlbc (fid, lp_id, rg_id) -> let f = match fid with | Regular fid -> fmt.fun_decl_id_to_string fid | Assumed fid -> llbc_assumed_fun_id_to_string fid in f ^ fun_suffix lp_id rg_id | Pure fid -> pure_assumed_fun_id_to_string fid let unop_to_string (unop : unop) : string = match unop with | Not -> "¬" | Neg _ -> "-" | Cast (src, tgt) -> "cast<" ^ integer_type_to_string src ^ "," ^ integer_type_to_string tgt ^ ">" let binop_to_string = Print.Expressions.binop_to_string let fun_or_op_id_to_string (fmt : ast_formatter) (fun_id : fun_or_op_id) : string = match fun_id with | Fun fun_id -> regular_fun_id_to_string fmt fun_id | Unop unop -> unop_to_string unop | Binop (binop, int_ty) -> binop_to_string binop ^ "<" ^ integer_type_to_string int_ty ^ ">" (** [inside]: controls the introduction of parentheses *) let rec texpression_to_string (fmt : ast_formatter) (inside : bool) (indent : string) (indent_incr : string) (e : texpression) : string = match e.e with | Var var_id -> let s = fmt.var_id_to_string var_id in if inside then "(" ^ s ^ ")" else s | Const cv -> Print.PrimitiveValues.primitive_value_to_string cv | App _ -> (* Recursively destruct the app, to have a pair (app, arguments list) *) let app, args = destruct_apps e in (* Convert to string *) app_to_string fmt inside indent indent_incr app args | Abs _ -> let xl, e = destruct_abs_list e in let e = abs_to_string fmt indent indent_incr xl e in if inside then "(" ^ e ^ ")" else e | Qualif _ -> (* Qualifier without arguments *) app_to_string fmt inside indent indent_incr e [] | Let (monadic, lv, re, e) -> let e = let_to_string fmt indent indent_incr monadic lv re e in if inside then "(" ^ e ^ ")" else e | Switch (scrutinee, body) -> let e = switch_to_string fmt indent indent_incr scrutinee body in if inside then "(" ^ e ^ ")" else e | Loop loop -> let e = loop_to_string fmt indent indent_incr loop in if inside then "(" ^ e ^ ")" else e | Meta (meta, e) -> ( let meta_s = meta_to_string fmt meta in let e = texpression_to_string fmt inside indent indent_incr e in match meta with | Assignment _ | Tag _ -> let e = meta_s ^ "\n" ^ indent ^ e in if inside then "(" ^ e ^ ")" else e | MPlace _ -> "(" ^ meta_s ^ " " ^ e ^ ")") and app_to_string (fmt : ast_formatter) (inside : bool) (indent : string) (indent_incr : string) (app : texpression) (args : texpression list) : string = (* There are two possibilities: either the [app] is an instantiated, * top-level qualifier (function, ADT constructore...), or it is a "regular" * expression *) let app, tys = match app.e with | Qualif qualif -> (* Qualifier case *) (* Convert the qualifier identifier *) let qualif_s = match qualif.id with | FunOrOp fun_id -> fun_or_op_id_to_string fmt fun_id | Global global_id -> fmt.global_decl_id_to_string global_id | AdtCons adt_cons_id -> let variant_s = adt_variant_to_string (ast_to_value_formatter fmt) adt_cons_id.adt_id adt_cons_id.variant_id in ConstStrings.constructor_prefix ^ variant_s | Proj { adt_id; field_id } -> let value_fmt = ast_to_value_formatter fmt in let adt_s = adt_variant_to_string value_fmt adt_id None in let field_s = adt_field_to_string value_fmt adt_id field_id in (* Adopting an F*-like syntax *) ConstStrings.constructor_prefix ^ adt_s ^ "?." ^ field_s in (* Convert the type instantiation *) let ty_fmt = ast_to_type_formatter fmt in let tys = List.map (ty_to_string ty_fmt true) qualif.type_args in (* *) (qualif_s, tys) | _ -> (* "Regular" expression case *) let inside = args <> [] || (args = [] && inside) in (texpression_to_string fmt inside indent indent_incr app, []) in (* Convert the arguments. * The arguments are expressions, so indentation might get weird... (though * those expressions will in most cases just be values) *) let arg_to_string = let inside = true in let indent1 = indent ^ indent_incr in texpression_to_string fmt inside indent1 indent_incr in let args = List.map arg_to_string args in let all_args = List.append tys args in (* Put together *) let e = if all_args = [] then app else app ^ " " ^ String.concat " " all_args in (* Add parentheses *) if all_args <> [] && inside then "(" ^ e ^ ")" else e and abs_to_string (fmt : ast_formatter) (indent : string) (indent_incr : string) (xl : typed_pattern list) (e : texpression) : string = let xl = List.map (typed_pattern_to_string fmt) xl in let e = texpression_to_string fmt false indent indent_incr e in "λ " ^ String.concat " " xl ^ ". " ^ e and let_to_string (fmt : ast_formatter) (indent : string) (indent_incr : string) (monadic : bool) (lv : typed_pattern) (re : texpression) (e : texpression) : string = let indent1 = indent ^ indent_incr in let inside = false in let re = texpression_to_string fmt inside indent1 indent_incr re in let e = texpression_to_string fmt inside indent indent_incr e in let lv = typed_pattern_to_string fmt lv in if monadic then lv ^ " <-- " ^ re ^ ";\n" ^ indent ^ e else "let " ^ lv ^ " = " ^ re ^ " in\n" ^ indent ^ e and switch_to_string (fmt : ast_formatter) (indent : string) (indent_incr : string) (scrutinee : texpression) (body : switch_body) : string = let indent1 = indent ^ indent_incr in (* Printing can mess up on the scrutinee, because it is an expression - but * in most situations it will be a value or a function call, so it should be * ok*) let scrut = texpression_to_string fmt true indent1 indent_incr scrutinee in let e_to_string = texpression_to_string fmt false indent1 indent_incr in match body with | If (e_true, e_false) -> let e_true = e_to_string e_true in let e_false = e_to_string e_false in "if " ^ scrut ^ "\n" ^ indent ^ "then\n" ^ indent1 ^ e_true ^ "\n" ^ indent ^ "else\n" ^ indent1 ^ e_false | Match branches -> let branch_to_string (b : match_branch) : string = let pat = typed_pattern_to_string fmt b.pat in indent ^ "| " ^ pat ^ " ->\n" ^ indent1 ^ e_to_string b.branch in let branches = List.map branch_to_string branches in "match " ^ scrut ^ " with\n" ^ String.concat "\n" branches and loop_to_string (fmt : ast_formatter) (indent : string) (indent_incr : string) (loop : loop) : string = let indent1 = indent ^ indent_incr in let indent2 = indent1 ^ indent_incr in let type_fmt = ast_to_type_formatter fmt in let loop_inputs = "fresh_vars: [" ^ String.concat "; " (List.map (var_to_string type_fmt) loop.inputs) ^ "]" in let fun_end = texpression_to_string fmt false indent2 indent_incr loop.fun_end in let loop_body = texpression_to_string fmt false indent2 indent_incr loop.loop_body in "loop {\n" ^ indent1 ^ loop_inputs ^ "\n" ^ indent1 ^ "fun_end: {\n" ^ indent2 ^ fun_end ^ "\n" ^ indent1 ^ "}\n" ^ indent1 ^ "loop_body: {\n" ^ indent2 ^ loop_body ^ "\n" ^ indent1 ^ "}\n" ^ indent ^ "}" and meta_to_string (fmt : ast_formatter) (meta : meta) : string = let meta = match meta with | Assignment (lp, rv, rp) -> let rp = match rp with | None -> "" | Some rp -> " [@src=" ^ mplace_to_string fmt rp ^ "]" in "@assign(" ^ mplace_to_string fmt lp ^ " := " ^ texpression_to_string fmt false "" "" rv ^ rp ^ ")" | MPlace mp -> "@mplace=" ^ mplace_to_string fmt mp | Tag msg -> "@tag \"" ^ msg ^ "\"" in "@meta[" ^ meta ^ "]" let fun_decl_to_string (fmt : ast_formatter) (def : fun_decl) : string = let type_fmt = ast_to_type_formatter fmt in let name = fun_name_to_string def.basename ^ fun_suffix def.loop_id def.back_id in let signature = fun_sig_to_string fmt def.signature in match def.body with | None -> "val " ^ name ^ " :\n " ^ signature | Some body -> let inside = false in let indent = " " in let inputs = List.map (var_to_string type_fmt) body.inputs in let inputs = if inputs = [] then indent else " fun " ^ String.concat " " inputs ^ " ->\n" ^ indent in let body = texpression_to_string fmt inside indent indent body.body in "let " ^ name ^ " :\n " ^ signature ^ " =\n" ^ inputs ^ body