uses StartUp
uses Ext.comment
uses Ext.tools

/*
  SETs in FORTH                                00:41 01/01/80

        by Michael A. Burk
           Intellisystems

  ported to GNU Forth by  Alex Malyshev  (alexript@mail.ru)
                            16/05/2000

        This is an implementation of the sets in FORTH.
   This was primarily an exercise inspired only by curiosity.
   If anyone can find a good use for this code, I would be
   interested in hearing it.

*/


/*
			Sets in FORTH

	This utility allows the construction of data structures
containing a set of strings of variable length.  The following
set functions are implemented:
		set union
		set intersection
		set difference
		set membership and exclusion
		set equality
	Other words are included for various purposes.

  SETOF		--- addr n		( execution )
	used in the form:
		n SETOF <setname> e1 e2 ... en
	where n is the number of elements, and each 'e' is a string
	in the input stream.
	This is the basic set constructor, upon which all other
	operations are based.  When <setname> is executed, it returns
	the address of the first element and the number of elements
	in the set.
	Example:    4 SETOF SEASONS fall winter spring summer

  INTERSECT		--- addr n		( execution )
	used in the form:
		addr1 n1  addr2 n2 INTERSECT <setname>
	Constructs a new set that represents the intersection of
	two previously defined sets.

  UNION		--- addr n
	used in the form:
		addr1 n1  addr2 n2 UNION <setname>
	Constructs a new set that represents the union of two
	previously defined sets.

  DIFFER		--- addr n		( execution )
	used in the form:
		addr1 n1  addr2 n2 DIFFER <setname>
	Constructs a new set that represents the difference of
	two previously defined sets.

  IN			addr  addr1 n1 --- f
	Leaves true if the counted string at  addr  IS in the
	set at  addr1 , and false otherwise.

  -IN		addr  addr1 n1 --- f
	Leaves false if the counted string at  addr is NOT in
	the set at  addr1 , and true otherwise.

  SET=		addr1 n1  addr2 n2 --- f
	Leaves true if the two sets are equivalent, and false
	otherwise.  Note that this function is NOT order-
	dependent.

  TH			addr n nth --- nth-addr
	Leaves the address of the nth element of the set. If nth
	is not in the range of set, returns 0.

  WHERE		addr addr1 n1 --- cfa n  	( found )
			      --- 0             ( not found )
	First determines if the string (or element) is in the set,
	then attempts to find the element in the dictionary. If
	successful in both operations, leaves the cfa and a flag
	( 1 if the word is marked as IMMEDIATE, and -1 otherwise).
	If either operation fails, leaves the addr of the element
	and a false flag.

  !ELEMENT		addr ---
	Copies the counted string at addr into the dictionary at
	HERE and allots the proper space.  This is only used by the
	set constructors for building a set.

  .SET		addr n ---
	Prints all elements of the set in a free format.  Used
	primarily for debugging.

  EMPTY		--- addr 0
	A pre-defined set containing no elements.

*/


( set functions support                        09:32 12/03/85 )

FORTH DEFINITIONS DECIMAL       : SETS ;

( addr n  --  )
: .SET      CR 0  DO		( -- addr )
                     COUNT	( -- addr+1 u )
		     2DUP	( -- addr+1 u addr+1 u )
/*                     OUT @      ( -- addr+1 u addr+1 u curs_pos )
		     OVER + cols 2- >=  IF
		                     CR
				   THEN
*/
				( -- addr+1 u addr+1 u )
                     TYPE       ( -- addr+1 u )
		     2 SPACES
		     +		( -- addr+1+u )
                  LOOP
	    DROP CR  ;

( addr  --  )

: !ELEMENT      COUNT
                DUP C,    ( store count,          )
                SWAP OVER       ( keep count to allot   )
                HERE SWAP       ( set order for move    )
                CMOVE
                ALLOT ;

( set functions support                        09:32 12/03/85 )


: INC-LENGTH    latestbody           ( #elements byte )
                DUP C@ 1+ SWAP C! ;                   ( 1 C+! )



( set definition:       SETOF                  09:32 12/03/85 )


: SETOF     CREATE  DUP C,                  ( store #elements )
            0 ?DO
                BL WORD                    ( get next element )
                !ELEMENT
            LOOP
            DOES>  COUNT ;                 ( addr & #elements )


( used in following form:                                     )
( compilation:             #elements -- set-name e1 e2 ... en )
( execution:               setname --> addr #elements         )


( set traversal:        TH                     09:32 12/03/85 )
( leaves address of nth element of the set, or 0 if invalid   )

( s-addr #e n -- addr )
: TH
	2DUP <= OVER 0< OR
            IF 3DROP 0 EXIT THEN
        SWAP DROP
        0 ?DO
             COUNT +
        LOOP ;



( set membership:       IN , -IN               09:32 12/03/85 )
( in  does an element by element string comparison, first
  assuming false until a match is actually found.             )


( e-addr u set-addr #e -- f )
: IN         				( -- e-addr u set-addr #e )
	    FALSE 4 roll 4 roll 4 roll 4 roll

            0 DO                        ( -- 0 e-addr u set-addr )
                3DUP			( -- 0 e-addr u set-addr e-addr u set-addr )
		COUNT   		( -- 0 e-addr u set-addr e-addr u se-addr se-u )
		CS=			( -- 0 e-addr u set-addr f )

		IF 			( -- 0 e-addr u set-addr )
		   3 roll drop TRUE
		   3 roll 3 roll 3 roll ( -- -1 e-addr u set-addr )
		   LEAVE
		THEN              	( -- f e-addr u set-addr )
		COUNT +
            LOOP
	    3DROP
	    ;

( e-addr set-addr #e -- f )
: -IN       IN NOT ;

( set functions support                        09:32 12/03/85 )


: !DIFFER-ELEMENTS      ( addr1 n1  addr2 n2 ---  )
        ROT 0 ?DO       ( -- addr1 addr2 n2 )
            3DUP 	( -- addr1 addr2 n2 addr1 addr2 n2 )
	    ROT COUNT 2SWAP	( -- addr1 addr2 n2 addr1 u1 addr2 n2 )
	    -IN                 ( -- addr1 addr2 n2 f )
                IF
		  2 PICK 	( -- addr1 addr2 n2 addr1 )
		  !ELEMENT INC-LENGTH
		THEN
            ROT 		( -- addr2 n2 addr1 )
	    COUNT + ROT ROT	( -- addr1 addr2 n2 )
        LOOP 3DROP ;






( set member a word:    WHERE                  09:32 12/03/85 )

( Determines if an element is in the set, and then searches
  the dictionary for the word. If either operation is not
  successful, returns the addr of the element and false: 0    )


( e-addr e-u s-addr n  --  cfa  f    found: 1: IMMEDIATE, else -1 )
(                  --  0  not found or not in set      )

: WHERE
	    3 PICK 3 PICK		( -- e-addr e-u s-addr n e-addr e-u )
	    2SWAP			( -- e-addr e-u e-addr e-u s-addr n )
            IN  IF SFIND
                ELSE 2drop 0
		THEN ;



( set union:            UNION                  09:32 12/03/85 )
( compilation:  s1-addr #e1  s2-addr #e2 -- name              )
( execution:    name -> s-addr #e                             )

: UNION
        CREATE  DUP C, 			( -- s1-addr #e1  s2-addr #e2 )
	2DUP                            ( -- s1-addr #e1  s2-addr #e2 s2-addr #e2 )
        0 ?DO                           ( -- s1-addr #e1  s2-addr #e2 s2-addr )
            DUP
	    !ELEMENT
	    COUNT +
        LOOP  DROP
        !DIFFER-ELEMENTS
        DOES>  COUNT ;




( set intersection:     INTERSECT              09:32 12/03/85 )
( compilation:  s1-addr #e1  s2-addr #e2 -- name              )
( execution:    name -> s-addr #e                             )

: INTERSECT
	CREATE  0 C,	( -- s1-addr #e1  s2-addr #e2 )
        ROT 0 ?DO       ( -- s1-addr s2-addr #e2 )
            3DUP        ( -- s1-addr s2-addr #e2 s1-addr s2-addr #e2 )
	    ROT COUNT 2SWAP
	    IN
            IF
	      2 PICK !ELEMENT INC-LENGTH
	    THEN
            ROT COUNT + ROT ROT
        LOOP  3DROP
        DOES>  COUNT ;



( set difference:       DIFFER                 09:32 12/03/85 )
( compilation:  s1-addr #e1  s2-addr #e2 -- name              )
( execution:    name -> s-addr #e                             )

: DIFFER    CREATE  0 C,
        2OVER 2OVER
            !DIFFER-ELEMENTS
        2SWAP
            !DIFFER-ELEMENTS
        DOES>  COUNT ;




( set equality:         SET=                   09:32 12/03/85 )

( addr1 n1  addr2 n2 -- f )
: SET=
	2 PICK  	( -- addr1 n1  addr2 n2 n1 )
	OVER		( -- addr1 n1  addr2 n2 n1 n2 )
	<> IF
		4DROP FALSE EXIT
	   THEN

        DUP 		( -- addr1 n1  addr2 n2 n2 )
	0= IF
	        4DROP TRUE EXIT
	   THEN

        ROT		( -- addr1 addr2 n2 n1 )
	0 DO
                3DUP	( -- addr1 addr2 n2 addr1 addr2 n2 )
		rot count 2swap
		-IN  IF
		       FALSE ( -- addr1 addr2 n2 0 )
		       LEAVE
		     THEN
                ROT	( -- addr2 n2 addr1)
		COUNT + ROT ROT
            LOOP	( -- addr1 addr2 n2 )
        IF  2DROP TRUE
        ELSE  3DROP FALSE   THEN ;


 0  SETOF  EMPTY
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