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source.ml
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type program_with_locations =
(binding Position.located * term' Position.located) list
and program =
(binding * term) list
and 't t =
| Var of identifier
| App of 't * 't
| Lam of binding * 't
| Pair of 't * 't
| Fst of 't
| Snd of 't
| Literal of literal
| Primitive of primitive
and term' = (term' Position.located) t
and term = term t
and binding = identifier * typ
and typ =
| TyConstant of type_constant
| TyArrow of typ * typ
| TyPair of typ * typ
and literal =
| Float of float
and primitive =
| Sin | Cos | Exp | Inv
| Add | Mul | Neg
and type_constant =
| TyFloat
and identifier = Id of string
and type_identifier = TyId of string
let rec map f = function
| App (a, b) -> App (f (map f a), f (map f b))
| Lam (b, t) -> Lam (b, f (map f t))
| Pair (a, b) -> Pair (f a, f b)
| Fst a -> Fst (f a)
| Snd a -> Snd (f a)
| Var x -> Var x
| Literal l -> Literal l
| Primitive p -> Primitive p
let make_lambda_abstraction_with_locations (bs : (binding Position.located) list) t =
let aux b acc =
Position.(with_pos (join (position b) (position t)) (Lam (value b, acc))) in
List.fold_right aux bs t
(*
let rec aux = function
| [] -> t
| b :: bs ->
Position.(with_pos (join (position b) (position t)) (Lam (value b, aux bs))) in
aux bs *)
let make_lambda_abstraction bs t =
Position.value (make_lambda_abstraction_with_locations bs t)
let make_let b t1 t2 =
App (make_lambda_abstraction_with_locations [b] t2, t1)
let rec remove_locations = function
| App (a, b) -> App (remove_locations' a, remove_locations' b)
| Lam (b, t) -> Lam (b, remove_locations' t)
| Pair (a, b) -> Pair (remove_locations' a, remove_locations' b)
| Fst a -> Fst (remove_locations' a)
| Snd a -> Snd (remove_locations' a)
| Var x -> Var x
| Literal l -> Literal l
| Primitive p -> Primitive p
and remove_locations' t = remove_locations (Position.value t)
let remove_locations_in_program (p : program_with_locations) : program =
List.map (fun (b, t) -> Position.(value b, remove_locations (value t))) p
let string_of_literal = function
| Float f -> string_of_float f
let string_of_primitive = function
| Sin -> "sin"
| Cos -> "cos"
| Exp -> "exp"
| Inv -> "inv"
| Add -> "add"
| Mul -> "mul"
| Neg -> "neg"
let string_of_term unbox =
PPrintEngine.(
let rec term = function
| Var (Id x) ->
string x
| Pair (a, b) ->
PPrintCombinators.(
parens (group (term' a ^^ comma) ^^ break 1 ^^ term' b)
)
| Snd a ->
group (string "snd" ^^ break 1 ^^ term' a)
| Fst a ->
group (string "fst" ^^ break 1 ^^ term' a)
| App (a, b) ->
mayparen_term' a ^^ break 1 ^^ term' b
| Lam (bs, t) ->
string "fun " ^^ binding bs
^^ string " ->" ^^ break 1 ^^ term' t
| Literal l ->
string (string_of_literal l)
| Primitive p ->
string (string_of_primitive p)
and term' t = term (unbox t)
and mayparen_term' p =
mayparen_term (unbox p)
and mayparen_term t =
match t with
| Lam _ ->
string "(" ^^ (term t) ^^ string ")"
| _ ->
term t
and binding (Id x, _) =
string x
in
fun t ->
let b = Buffer.create 37 in
PPrintEngine.ToBuffer.pretty 0.7 80 b (term t);
Buffer.contents b
)
let string_of_term' = string_of_term Position.value
let string_of_term = string_of_term (fun x -> x)
(** [string_of_type ty] returns a human readable representation of a type. *)
let string_of_type t =
let open PPrint in
let rec ty = function
| TyConstant TyFloat ->
string "float"
| TyArrow (input, output) ->
group (mayparen_ty_under_arrow_lhs input) ^^ break 1
^^ string "->"
^^ break 1 ^^ (group (ty output))
| TyPair (lhs, rhs) ->
group (mayparen_ty_under_pair_lhs lhs) ^^ break 1
^^ string "* " ^^ group (mayparen_ty_under_pair_rhs rhs)
and mayparen_ty_under_arrow_lhs = function
| (TyArrow _) as t ->
PPrintCombinators.parens (ty t)
| t ->
ty t
and mayparen_ty_under_pair_lhs = function
| (TyArrow _) as t ->
PPrintCombinators.parens (ty t)
| t ->
ty t
and mayparen_ty_under_pair_rhs = function
| (TyArrow _ | TyPair _) as t ->
PPrintCombinators.parens (ty t)
| t ->
ty t
in
let b = Buffer.create 13 in
PPrintEngine.ToBuffer.pretty 0.8 80 b (group (ty t));
Buffer.contents b