Source file blang.ml
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module List = ListLabels
module T : sig
type +'a t = private
| True
| False
| And of 'a t * 'a t
| Or of 'a t * 'a t
| Not of 'a t
| If of 'a t * 'a t * 'a t
| Base of 'a
val compare : ('a -> 'a -> int) -> 'a t -> 'a t -> int
val equal : ('a -> 'a -> bool) -> 'a t -> 'a t -> bool
val true_ : 'a t
val false_ : 'a t
val not_ : 'a t -> 'a t
val andalso : 'a t -> 'a t -> 'a t
val orelse : 'a t -> 'a t -> 'a t
val if_ : 'a t -> 'a t -> 'a t -> 'a t
val base : 'a -> 'a t
end = struct
type +'a t =
| True
| False
| And of 'a t * 'a t
| Or of 'a t * 'a t
| Not of 'a t
| If of 'a t * 'a t * 'a t
| Base of 'a
let rec compare : 'a. ('a -> 'a -> int) -> 'a t -> 'a t -> int =
fun _cmp__a ->
fun a__001_ ->
fun b__002_ ->
if Stdlib.( == ) a__001_ b__002_
then 0
else (
match a__001_, b__002_ with
| True, True -> 0
| True, _ -> -1
| _, True -> 1
| False, False -> 0
| False, _ -> -1
| _, False -> 1
| And (_a__003_, _a__005_), And (_b__004_, _b__006_) ->
(match compare _cmp__a _a__003_ _b__004_ with
| 0 -> compare _cmp__a _a__005_ _b__006_
| n -> n)
| And _, _ -> -1
| _, And _ -> 1
| Or (_a__011_, _a__013_), Or (_b__012_, _b__014_) ->
(match compare _cmp__a _a__011_ _b__012_ with
| 0 -> compare _cmp__a _a__013_ _b__014_
| n -> n)
| Or _, _ -> -1
| _, Or _ -> 1
| Not _a__019_, Not _b__020_ -> compare _cmp__a _a__019_ _b__020_
| Not _, _ -> -1
| _, Not _ -> 1
| If (_a__023_, _a__025_, _a__027_), If (_b__024_, _b__026_, _b__028_) ->
(match compare _cmp__a _a__023_ _b__024_ with
| 0 ->
(match compare _cmp__a _a__025_ _b__026_ with
| 0 -> compare _cmp__a _a__027_ _b__028_
| n -> n)
| n -> n)
| If _, _ -> -1
| _, If _ -> 1
| Base _a__035_, Base _b__036_ -> _cmp__a _a__035_ _b__036_)
;;
let rec equal : 'a. ('a -> 'a -> bool) -> 'a t -> 'a t -> bool =
fun _cmp__a ->
fun a__037_ ->
fun b__038_ ->
if Stdlib.( == ) a__037_ b__038_
then true
else (
match a__037_, b__038_ with
| True, True -> true
| True, _ -> false
| _, True -> false
| False, False -> true
| False, _ -> false
| _, False -> false
| And (_a__039_, _a__041_), And (_b__040_, _b__042_) ->
Stdlib.( && ) (equal _cmp__a _a__039_ _b__040_) (equal _cmp__a _a__041_ _b__042_)
| And _, _ -> false
| _, And _ -> false
| Or (_a__047_, _a__049_), Or (_b__048_, _b__050_) ->
Stdlib.( && ) (equal _cmp__a _a__047_ _b__048_) (equal _cmp__a _a__049_ _b__050_)
| Or _, _ -> false
| _, Or _ -> false
| Not _a__055_, Not _b__056_ -> equal _cmp__a _a__055_ _b__056_
| Not _, _ -> false
| _, Not _ -> false
| If (_a__059_, _a__061_, _a__063_), If (_b__060_, _b__062_, _b__064_) ->
Stdlib.( && )
(equal _cmp__a _a__059_ _b__060_)
(Stdlib.( && )
(equal _cmp__a _a__061_ _b__062_)
(equal _cmp__a _a__063_ _b__064_))
| If _, _ -> false
| _, If _ -> false
| Base _a__071_, Base _b__072_ -> _cmp__a _a__071_ _b__072_)
;;
let true_ = True
let false_ = False
let base v = Base v
let not_ = function
| True -> False
| False -> True
| Not t -> t
| t -> Not t
;;
let rec andalso t1 t2 =
match t1, t2 with
| _, False | False, _ -> False
| other, True | True, other -> other
| And (t1a, t1b), _ ->
And (t1a, andalso t1b t2)
| _ -> And (t1, t2)
;;
let rec orelse t1 t2 =
match t1, t2 with
| _, True | True, _ -> True
| other, False | False, other -> other
| Or (t1a, t1b), _ ->
Or (t1a, orelse t1b t2)
| _ -> Or (t1, t2)
;;
let if_ a b c =
match a with
| True -> b
| False -> c
| _ ->
(match b, c with
| True, _ -> orelse a c
| _, False -> andalso a b
| _, True -> orelse (not_ a) b
| False, _ -> andalso (not_ a) c
| _ -> If (a, b, c))
;;
end
include T
module Stable = struct
module V1 : sig
type 'a t = 'a T.t = private
| True
| False
| And of 'a t * 'a t
| Or of 'a t * 'a t
| Not of 'a t
| If of 'a t * 'a t * 'a t
| Base of 'a
val compare : ('a -> 'a -> int) -> 'a t -> 'a t -> int
val equal : ('a -> 'a -> bool) -> 'a t -> 'a t -> bool
include Sexpable.S1 with type 'a t := 'a t
val and_ : 'a t list -> 'a t
val or_ : 'a t list -> 'a t
val gather_conjuncts : 'a t -> 'a t list
val gather_disjuncts : 'a t -> 'a t list
end = struct
type 'a t = 'a T.t = private
| True
| False
| And of 'a t * 'a t
| Or of 'a t * 'a t
| Not of 'a t
| If of 'a t * 'a t * 'a t
| Base of 'a
include (
T :
sig
type 'a t
val compare : ('a -> 'a -> int) -> 'a t -> 'a t -> int
val equal : ('a -> 'a -> bool) -> 'a t -> 'a t -> bool
end
with type 'a t := 'a t)
type sexp = Sexp.t =
| Atom of string
| List of sexp list
let gather_conjuncts t =
let rec loop acc = function
| True :: ts -> loop acc ts
| And (t1, t2) :: ts -> loop acc (t1 :: t2 :: ts)
| t :: ts -> loop (t :: acc) ts
| [] -> List.rev acc
in
loop [] [ t ]
;;
let gather_disjuncts t =
let rec loop acc = function
| False :: ts -> loop acc ts
| Or (t1, t2) :: ts -> loop acc (t1 :: t2 :: ts)
| t :: ts -> loop (t :: acc) ts
| [] -> List.rev acc
in
loop [] [ t ]
;;
let and_ ts = List.fold_right ts ~init:true_ ~f:andalso
let or_ ts = List.fold_right ts ~init:false_ ~f:orelse
let of_sexp_error str sexp = raise (Sexp.Of_sexp_error (Failure str, sexp))
let unary name args sexp =
match args with
| [ x ] -> x
| _ ->
let n = List.length args in
of_sexp_error (Printf.sprintf "%s expects one argument, %d found" name n) sexp
;;
let ternary name args sexp =
match args with
| [ x; y; z ] -> x, y, z
| _ ->
let n = List.length args in
of_sexp_error (Printf.sprintf "%s expects three arguments, %d found" name n) sexp
;;
let sexp_of_t sexp_of_value t =
let rec aux t =
match t with
| Base x -> sexp_of_value x
| True -> Atom "true"
| False -> Atom "false"
| Not t -> List [ Atom "not"; aux t ]
| If (t1, t2, t3) -> List [ Atom "if"; aux t1; aux t2; aux t3 ]
| And _ as t ->
let ts = gather_conjuncts t in
List (Atom "and" :: List.map ~f:aux ts)
| Or _ as t ->
let ts = gather_disjuncts t in
List (Atom "or" :: List.map ~f:aux ts)
in
aux t
;;
let t_of_sexp base_of_sexp sexp =
let base sexp = base (base_of_sexp sexp) in
let rec aux sexp =
match sexp with
| Atom kw ->
(match String.lowercase_ascii kw with
| "true" -> true_
| "false" -> false_
| _ -> base sexp)
| List (Atom kw :: args) ->
(match String.lowercase_ascii kw with
| "and" -> and_ (List.map ~f:aux args)
| "or" -> or_ (List.map ~f:aux args)
| "not" -> not_ (aux (unary "not" args sexp))
| "if" ->
let x, y, z = ternary "if" args sexp in
if_ (aux x) (aux y) (aux z)
| _ -> base sexp)
| _ -> base sexp
in
aux sexp
;;
end
end
include (Stable.V1 : module type of Stable.V1 with type 'a t := 'a t)
let constant b = if b then true_ else false_
module type Constructors = sig
val base : 'a -> 'a t
val true_ : _ t
val false_ : _ t
val constant : bool -> _ t
val not_ : 'a t -> 'a t
val and_ : 'a t list -> 'a t
val or_ : 'a t list -> 'a t
val if_ : 'a t -> 'a t -> 'a t -> 'a t
end
module O = struct
include T
let not = not_
let and_ = and_
let or_ = or_
let constant = constant
let ( && ) = andalso
let ( || ) = orelse
let ( ==> ) a b = (not a) || b
end
let rec eval t base_eval =
match t with
| True -> true
| False -> false
| And (t1, t2) -> eval t1 base_eval && eval t2 base_eval
| Or (t1, t2) -> eval t1 base_eval || eval t2 base_eval
| Not t -> not (eval t base_eval)
| If (t1, t2, t3) -> if eval t1 base_eval then eval t2 base_eval else eval t3 base_eval
| Base x -> base_eval x
;;