File: Option.sml

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(*
    Title:      Standard Basis Library: Option Structure
    Author:     David Matthews
    Copyright   David Matthews 1999, 2005

	This library is free software; you can redistribute it and/or
	modify it under the terms of the GNU Lesser General Public
	License as published by the Free Software Foundation; either
	version 2.1 of the License, or (at your option) any later version.
	
	This library is distributed in the hope that it will be useful,
	but WITHOUT ANY WARRANTY; without even the implied warranty of
	MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
	Lesser General Public License for more details.
	
	You should have received a copy of the GNU Lesser General Public
	License along with this library; if not, write to the Free Software
	Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA  02110-1301  USA
*)

(* G&R 2004 status: updated, added "app" function. *)

signature OPTION =
  sig
    datatype 'a option = NONE | SOME of 'a
    exception Option
    val getOpt : ('a option * 'a) -> 'a
    val isSome : 'a option -> bool
    val valOf : 'a option -> 'a
    val filter : ('a -> bool) -> 'a -> 'a option
    val join : 'a option option -> 'a option
	val app : ('a -> unit) -> 'a option -> unit
    val map : ('a -> 'b) -> 'a option -> 'b option
    val mapPartial : ('a -> 'b option) -> 'a option -> 'b option
    val compose : (('a -> 'b) * ('c -> 'a option)) -> 'c -> 'b option
    val composePartial : (('a -> 'b option) * ('c -> 'a option)) -> 'c -> 'b option
  end;

structure Option : OPTION =
	struct
    (* datatype 'a option = NONE | SOME of 'a *)
	datatype option = datatype option
    exception Option
	
	fun getOpt (SOME a, _) = a
	 |  getOpt (NONE, b) = b
	 
	fun isSome (SOME _) = true
	 |  isSome (NONE) = false

	fun valOf (SOME a) = a
	 |  valOf (NONE) = raise Option

	fun filter f a = if f a then SOME a else NONE

	fun join (SOME v) = v
	  | join NONE = NONE
	  
	fun app f (SOME v) = f v
	  | app _ NONE = ()

 	fun map f (SOME v) = SOME (f v)
	  | map f NONE = NONE

 	fun mapPartial f (SOME v) = f v
	  | mapPartial f NONE = NONE


	fun compose (f, g) a =
		case g a of
			NONE => NONE
		  | SOME v => SOME (f v)

	fun composePartial (f, g) a =
		case g a of
			NONE => NONE
		  | SOME v => f v
	end;

(* Export some of these to the top-level. *)
local
	structure dummy:
		sig
	    (* datatype 'a option = NONE | SOME of 'a *)
	    exception Option
	    val getOpt : ('a option * 'a) -> 'a
	    val isSome : 'a option -> bool
	    val valOf : 'a option -> 'a
		end = Option
in
	open dummy
end;