2008-01-25 09:21:04 -05:00
										 
									 
								 
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								! Copyright (C) 2007 Alex Chapman All Rights Reserved.
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								! See http://factorcode.org/license.txt for BSD license.
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								!
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								! gap buffer -- largely influenced by Strandh and Villeneuve's Flexichain
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								! for a good introduction see:
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								! http://p-cos.net/lisp-ecoop/submissions/StrandhVilleneuveMoore.pdf
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											2008-04-26 12:03:41 -04:00
										 
									 
								 
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								USING: kernel arrays sequences sequences.private circular math
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								math.order math.functions generic ;
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											2008-01-25 09:21:04 -05:00
										 
									 
								 
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								IN: gap-buffer
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								! gap-start     -- the first element of the gap
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								! gap-end       -- the first element after the gap
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								! expand-factor -- should be > 1
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								! min-size      -- < 5 is not sensible
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								TUPLE: gb
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								    gap-start
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								    gap-end
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								    expand-factor
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								    min-size ;
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								GENERIC: gb-seq ( gb -- seq )
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								GENERIC: set-gb-seq ( seq gb -- )
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								M: gb gb-seq ( gb -- seq ) delegate ;
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								M: gb set-gb-seq ( seq gb -- ) set-delegate ;
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								: required-space ( n gb -- n )
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								    tuck gb-expand-factor * ceiling >fixnum swap gb-min-size max ;
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								: <gb> ( seq -- gb )
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											2008-04-13 16:06:27 -04:00
										 
									 
								 
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								    gb new
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											2008-01-25 09:21:04 -05:00
										 
									 
								 
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								    5 over set-gb-min-size
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								    1.5 over set-gb-expand-factor
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								    [ >r length r> set-gb-gap-start ] 2keep
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								    [ swap length over required-space swap set-gb-gap-end ] 2keep
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								    [
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								        over length over required-space rot { } like resize-array <circular> swap set-gb-seq
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								    ] keep ;
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								M: gb like ( seq gb -- seq ) drop <gb> ;
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								: gap-length ( gb -- n ) [ gb-gap-end ] keep gb-gap-start - ;
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								: buffer-length ( gb -- n ) gb-seq length ;
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								M: gb length ( gb -- n ) [ buffer-length ] keep gap-length - ;
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											2008-03-11 22:35:48 -04:00
										 
									 
								 
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								: valid-position? ( pos gb -- ? )
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								    #! one element past the end of the buffer is a valid position when we're inserting
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								    length -1 swap between? ;
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								: valid-index? ( i gb -- ? )
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								    buffer-length -1 swap between? ;
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								TUPLE: position-out-of-bounds position gap-buffer ;
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								C: <position-out-of-bounds> position-out-of-bounds
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											2008-01-25 09:21:04 -05:00
										 
									 
								 
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								: position>index ( pos gb -- i )
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								    2dup valid-position? [
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								        2dup gb-gap-start >= [
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								            gap-length +
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								        ] [ drop ] if
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								    ] [
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								        <position-out-of-bounds> throw
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								    ] if ;
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								TUPLE: index-out-of-bounds index gap-buffer ;
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								C: <index-out-of-bounds> index-out-of-bounds
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								: index>position ( i gb -- pos )
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								    2dup valid-index? [
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								        2dup gb-gap-end >= [
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								            gap-length -
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								        ] [ drop ] if
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								    ] [
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								        <index-out-of-bounds> throw
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								    ] if ;
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								M: gb virtual@ ( n gb -- n seq ) [ position>index ] keep gb-seq ;
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								M: gb nth ( n gb -- elt ) bounds-check virtual@ nth-unsafe ;
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								M: gb nth-unsafe ( n gb -- elt ) virtual@ nth-unsafe ;
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								M: gb set-nth ( elt n seq -- ) bounds-check virtual@ set-nth-unsafe ;
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								M: gb set-nth-unsafe ( elt n seq -- ) virtual@ set-nth-unsafe ;
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								M: gb virtual-seq gb-seq ;
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								INSTANCE: gb virtual-sequence
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								! ------------- moving the gap -------------------------------
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								: (copy-element) ( to start seq -- ) tuck nth -rot set-nth ;
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								: copy-element ( dst start seq -- ) >r [ + ] keep r> (copy-element) ;
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								: copy-elements-back ( dst start seq n -- )
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								    dup 0 > [
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								        >r [ copy-element ] 3keep >r 1+ r> r> 1- copy-elements-back
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								    ] [ 3drop drop ] if ;
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								: copy-elements-forward ( dst start seq n -- )
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								    dup 0 > [
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								        >r [ copy-element ] 3keep >r 1- r> r> 1- copy-elements-forward
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								    ] [ 3drop drop ] if ;
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								: copy-elements ( dst start end seq -- )
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								    pick pick > [
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								        >r dupd - r> swap copy-elements-forward
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								    ] [
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								        >r over - r> swap copy-elements-back
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								    ] if ;
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								! the gap can be moved either forward or back. Moving the gap 'inside' means
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								! moving elements across the gap. Moving the gap 'around' means changing the
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								! start of the circular buffer to avoid moving as many elements.
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								! We decide which method (inside or around) to pick based on the number of
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								! elements that will need to be moved. We always try to move as few elements as
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								! possible.
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								: move-gap? ( i gb -- i gb ? ) 2dup gb-gap-end = not ;
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								: move-gap-forward? ( i gb -- i gb ? ) 2dup gb-gap-start >= ;
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								: move-gap-back-inside? ( i gb -- i gb ? )
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								    #! is it cheaper to move the gap inside than around?
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								    2dup [ gb-gap-start swap 2 * - ] keep [ buffer-length ] keep gb-gap-end - <= ;
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								: move-gap-forward-inside? ( i gb -- i gb ? )
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								    #! is it cheaper to move the gap inside than around?
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								    2dup [ gb-gap-end >r 2 * r> - ] keep [ gb-gap-start ] keep buffer-length + <= ;
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								: move-gap-forward-inside ( i gb -- )
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								    [ dup gap-length neg swap gb-gap-end rot ] keep gb-seq copy-elements ;
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								: move-gap-back-inside ( i gb -- )
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								    [ dup gap-length swap gb-gap-start 1- rot 1- ] keep gb-seq copy-elements ;
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								: move-gap-forward-around ( i gb -- )
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								    0 over move-gap-back-inside [
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								        dup buffer-length [
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								            swap gap-length - neg swap
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								        ] keep
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								    ] keep [
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								        gb-seq copy-elements
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							 | 
							
								
							 | 
							
								
							 | 
							
							
								    ] keep dup gap-length swap gb-seq change-circular-start ;
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								: move-gap-back-around ( i gb -- )
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								    dup buffer-length over move-gap-forward-inside [
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								        length swap -1
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								    ] keep [
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								        gb-seq copy-elements
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								    ] keep dup length swap gb-seq change-circular-start ;
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								: move-gap-forward ( i gb -- )
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								    move-gap-forward-inside? [
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								        move-gap-forward-inside
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								    ] [
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								        move-gap-forward-around
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								    ] if ;
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								: move-gap-back ( i gb -- )
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								    move-gap-back-inside? [
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								        move-gap-back-inside
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								    ] [
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								        move-gap-back-around
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								    ] if ;
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								: (move-gap) ( i gb -- )
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								    move-gap? [
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								        move-gap-forward? [
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								            move-gap-forward
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								        ] [
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								            move-gap-back
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								        ] if
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								    ] [ 2drop ] if ;
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								: fix-gap ( n gb -- )
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								    2dup [ gap-length + ] keep set-gb-gap-end set-gb-gap-start ;
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							
								
									
										
										
										
											2008-03-11 22:35:48 -04:00
										 
									 
								 
							 | 
							
								
							 | 
							
								
							 | 
							
							
								! moving the gap to position 5 means that the element in position 5 will be immediately after the gap
							 | 
						
					
						
							
								
									
										
										
										
											2008-01-25 09:21:04 -05:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								GENERIC: move-gap ( n gb -- )
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								M: gb move-gap ( n gb -- ) 2dup [ position>index ] keep (move-gap) fix-gap ;
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								! ------------ resizing -------------------------------------
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								: enough-room? ( n gb -- ? )
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								    #! is there enough room to add 'n' elements to gb?
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								    tuck length + swap buffer-length <= ;
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								: set-new-gap-end ( array gb -- )
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								    [ buffer-length swap length swap - ] keep
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								    [ gb-gap-end + ] keep set-gb-gap-end ;
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								: after-gap ( gb -- gb )
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								    dup gb-seq swap gb-gap-end tail ;
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								: before-gap ( gb -- gb )
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								    dup gb-gap-start head ;
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								: copy-after-gap ( array gb -- )
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								    #! copy everything after the gap in 'gb' into the end of 'array',
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								    #! and change 'gb's gap-end to reflect the gap-end in 'array'
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								    dup after-gap >r 2dup set-new-gap-end gb-gap-end swap r> -rot copy ;
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								: copy-before-gap ( array gb -- )
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								    #! copy everything before the gap in 'gb' into the start of 'array'
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								    before-gap 0 rot copy ; ! gap start doesn't change
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								: resize-buffer ( gb new-size -- )
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								    f <array> swap 2dup copy-before-gap 2dup copy-after-gap
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								    >r <circular> r> set-gb-seq ;
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								: decrease-buffer-size ( gb -- )
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								    #! the gap is too big, so resize to something sensible
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								    dup length over required-space resize-buffer ;
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								: increase-buffer-size ( n gb -- )
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								    #! increase the buffer to fit at least 'n' more elements
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								    tuck length + over required-space resize-buffer ;
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								: gb-too-big? ( gb -- ? )
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								    dup buffer-length over gb-min-size > [
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								        dup length over buffer-length rot gb-expand-factor sq / <
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								    ] [ drop f ] if ;
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								: ?decrease ( gb -- )
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								    dup gb-too-big? [
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								        decrease-buffer-size
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								    ] [ drop ] if ;
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								: ensure-room ( n gb -- )
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								    #! ensure that ther will be enough room for 'n' more elements
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								    2dup enough-room? [ 2drop ] [
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								        increase-buffer-size
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								    ] if ;
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								! ------- editing operations ---------------
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								GENERIC# insert* 2 ( seq position gb -- )
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								: prepare-insert ( seq position gb -- seq gb )
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								    tuck move-gap over length over ensure-room ;
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								: insert-elements ( seq gb -- )
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								    dup gb-gap-start swap gb-seq copy ;
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								: increment-gap-start ( gb n -- )
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								    over gb-gap-start + swap set-gb-gap-start ;
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								! generic dispatch identifies numbers as sequences before numbers...
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								! M: number insert* ( elem position gb -- ) >r >r 1array r> r> insert* ;
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								: number-insert ( num position gb -- ) >r >r 1array r> r> insert* ;
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								M: sequence insert* ( seq position gb -- )
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								    pick number? [
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								        number-insert
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								    ] [
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								        prepare-insert [ insert-elements ] 2keep swap length increment-gap-start
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								    ] if ;
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								: (delete*) ( gb -- )
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								    dup gb-gap-end 1+ over set-gb-gap-end ?decrease ;
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								GENERIC: delete* ( pos gb -- )
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								M: gb delete* ( position gb -- )
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								    tuck move-gap (delete*) ;
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								! -------- stack/queue operations -----------
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								: push-start ( obj gb -- ) 0 swap insert* ;
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								: push-end ( obj gb -- ) [ length ] keep insert* ;
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								: pop-elem ( position gb -- elem ) [ nth ] 2keep delete* ;
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								: pop-start ( gb -- elem ) 0 swap pop-elem ;
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								: pop-end ( gb -- elem ) [ length 1- ] keep pop-elem ;
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								: rotate ( n gb -- )
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								    dup length 1 > [
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								        swap dup 0 > [
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								            [ dup [ pop-end ] keep push-start ]
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								        ] [
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								            neg [ dup [ pop-start ] keep push-end ]
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								        ] if times drop
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								    ] [ 2drop ] if ;
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 |