504 lines
13 KiB
Factor
504 lines
13 KiB
Factor
USING: kernel alien namespaces arrays vectors math opengl math-contrib
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parser sequences hashtables strings ;
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IN: lindenmayer
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! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
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: make-matrix >r { } make r> group ;
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! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
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: RU ( angle -- RU ) deg>rad
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[ dup cos , dup sin , 0 ,
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dup sin neg , dup cos , 0 ,
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0 , 0 , 1 , ] 3 make-matrix nip ;
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: RL ( angle -- RL ) deg>rad
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[ dup cos , 0 , dup sin neg ,
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0 , 1 , 0 ,
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dup sin , 0 , dup cos , ] 3 make-matrix nip ;
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: RH ( angle -- RH ) deg>rad
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[ 1 , 0 , 0 ,
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0 , dup cos , dup sin neg ,
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0 , dup sin , dup cos , ] 3 make-matrix nip ;
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! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
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SYMBOL: position
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SYMBOL: orientation
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: rotate-U ( angle -- ) RU orientation get swap m. orientation set-global ;
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: rotate-L ( angle -- ) RL orientation get swap m. orientation set-global ;
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: rotate-H ( angle -- ) RH orientation get swap m. orientation set-global ;
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: step ( length -- )
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>r position get orientation get 0 0 r> 3array m.v v+ position set-global ;
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! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
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: record-vertex ( -- ) position get first3 glVertex3f ;
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! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
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: rotate-z rotate-U ;
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: rotate-y neg rotate-L ;
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: rotate-x neg rotate-H ;
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! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
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: reset ( -- )
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{ 0 0 0 } position set-global 3 identity-matrix orientation set-global ;
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! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
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USE: sequences : length* length ; USE: lindenmayer
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! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
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DEFER: polygon-vertex
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: draw-forward ( length -- )
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GL_LINES glBegin record-vertex step record-vertex glEnd ;
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: move-forward ( length -- ) step polygon-vertex ;
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: sneak-forward ( length -- ) step ;
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! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
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! (v0 - v1) x (v1 - v2)
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: polygon-normal ( { v0 v1 v2 } -- normal )
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0 over nth over 1 swap nth v- swap
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1 over nth swap 2 swap nth v- cross ;
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! : polygon ( vertices -- )
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! GL_POLYGON glBegin dup polygon-normal first3 glNormal3f
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! [ first3 glVertex3f ] each glEnd ;
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: polygon ( vertices -- )
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dup length* 3 >=
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[ GL_POLYGON glBegin dup polygon-normal first3 glNormal3f
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[ first3 glVertex3f ] each glEnd ]
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[ drop ]
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if ;
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! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
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SYMBOL: vertices
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V{ } vertices set-global
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: start-polygon ( -- ) 0 <vector> vertices set-global ;
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: finish-polygon ( -- ) vertices get polygon ;
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: polygon-vertex ( -- ) position get vertices get push ;
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! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
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! How $ works:
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! V x H
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! L = -------
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! |V x H|
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! V : direction opposite to gravity
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: V ( -- ) { 0 1 0 } ;
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: H ( -- ) orientation get [ first ] map ;
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: L ( -- ) orientation get [ second ] map ;
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: U ( -- ) orientation get [ third ] map ;
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: set-H ( { a b c } -- ) orientation get [ 0 swap set-nth ] 2each ;
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: set-L ( { a b c } -- ) orientation get [ 1 swap set-nth ] 2each ;
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: set-U ( { a b c } -- ) orientation get [ 2 swap set-nth ] 2each ;
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: roll-until-horizontal ( -- ) V H cross dup norm v/n set-L ;
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! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
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! Lindenmayer string rewriting
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! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
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SYMBOL: rules
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: segment ( str -- seq )
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{ { [ dup "" = ] [ drop [ ] ] }
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{ [ dup length* 1 = ] [ unit ] }
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{ [ 1 over nth CHAR: ( = ]
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[ CHAR: ) over index 1 + ! str i
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2dup head ! str i head
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-rot tail ! head tail
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segment swap add* ] }
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{ [ t ] [ dup 1 head swap 1 tail segment swap add* ] } }
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cond ;
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: lookup ( str -- str ) dup 1 head rules get hash dup [ nip ] [ drop ] if ;
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: rewrite ( str -- str ) segment [ lookup ] map concat ;
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! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
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! Lindenmayer string interpretation
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! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
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: last ( seq -- [ last-item ] ) dup length* 1- tail ;
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SYMBOL: command-table
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: segment-command ( seg -- command ) 1 head ;
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: segment-parameter ( seg -- parameter )
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dup length* 1 - 2 swap rot subseq parse call ;
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: segment-parts ( seg -- param command )
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dup segment-parameter swap segment-command ;
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: exec-command ( str -- ) command-table get hash dup [ call ] [ drop ] if ;
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: exec-command-with-param ( param command -- )
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command-table get hash dup [ last call ] [ 2drop ] if ;
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: (interpret) ( seg -- )
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dup length* 1 =
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[ exec-command ] [ segment-parts exec-command-with-param ] if ;
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: interpret ( str -- ) segment [ (interpret) ] each ;
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! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
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! Lparser dialect
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! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
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SYMBOL: angle
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SYMBOL: length
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SYMBOL: thickness
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SYMBOL: color-index
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! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
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DEFER: set-thickness
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DEFER: set-color-index
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TUPLE: state position orientation angle length thickness color-index ;
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SYMBOL: states V{ } states set-global
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: save-state ( -- )
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position get orientation get angle get length get thickness get
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color-index get <state>
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states get push ;
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: restore-state ( -- )
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states get pop
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dup state-position position set-global
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dup state-orientation orientation set-global
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dup state-length length set-global
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dup state-angle angle set-global
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dup state-color-index set-color-index
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dup state-thickness set-thickness
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drop ;
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! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
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: scale-length ( m -- ) length get * length set-global ;
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: scale-angle ( m -- ) angle get * angle set-global ;
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! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
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SYMBOL: color-table
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{ { 0 0 0 } ! black
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{ 0.5 0.5 0.5 } ! grey
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{ 1 0 0 } ! red
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{ 1 1 0 } ! yellow
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{ 0 1 0 } ! green
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{ 0.250 0.878 0.815 } ! turquoise
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{ 0 0 1 } ! blue
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{ 0.627 0.125 0.941 } ! purple
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{ 0.00 0.50 0.00 } ! dark green
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{ 0.00 0.82 0.82 } ! dark turquoise
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{ 0.00 0.00 0.50 } ! dark blue
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{ 0.58 0.00 0.82 } ! dark purple
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{ 0.50 0.00 0.00 } ! dark red
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{ 0.25 0.25 0.25 } ! dark grey
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{ 0.75 0.75 0.75 } ! medium grey
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{ 1 1 1 } ! white
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} color-table set-global
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! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
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USE: sequences
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: >float-array ( seq -- )
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dup length "float" <c-array> swap dup length >array
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[ pick set-float-nth ] 2each ;
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USE: lindenmayer
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! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
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: material-color ( r g b -- )
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3array 1.0 add >float-array
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GL_FRONT_AND_BACK GL_AMBIENT_AND_DIFFUSE rot glMaterialfv ;
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: set-color-index ( i -- )
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dup color-index set-global color-table get nth dup
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first3 glColor3f first3 material-color ;
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: inc-color-index ( -- ) color-index get 1 + set-color-index ;
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! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
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: set-thickness ( i -- ) dup thickness set-global glLineWidth ;
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: scale-thickness ( m -- ) thickness get * 0.5 max set-thickness ;
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! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
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: -rotate-y neg rotate-y ;
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: -rotate-x neg rotate-x ;
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: -rotate-z neg rotate-z ;
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! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
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: lparser-dialect ( -- )
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1 length set-global 45 angle set-global 1 thickness set-global
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2 set-color-index
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H{ { "+" [ angle get rotate-y ] }
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{ "-" [ angle get -rotate-y ] }
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{ "&" [ angle get rotate-x ] }
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{ "^" [ angle get -rotate-x ] }
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{ "<" [ angle get rotate-z ] }
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{ ">" [ angle get -rotate-z ] }
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{ "|" [ 180.0 rotate-y ] }
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{ "%" [ 180.0 rotate-z ] }
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{ "$" [ roll-until-horizontal ] }
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{ "F" [ length get draw-forward ] }
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{ "Z" [ length get 2 / draw-forward ] }
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{ "f" [ length get move-forward ] }
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{ "z" [ length get 2 / move-forward ] }
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{ "g" [ length get sneak-forward ] }
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{ "." [ polygon-vertex ] }
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{ "[" [ save-state ] }
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{ "]" [ restore-state ] }
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{ "{" [ start-polygon ] }
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{ "}" [ finish-polygon ] }
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{ "/" [ 1.1 scale-length ] } ! " command in lparser
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{ "'" [ 0.9 scale-length ] }
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{ ";" [ 1.1 scale-angle ] }
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{ ":" [ 0.9 scale-angle ] }
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{ "?" [ 1.4 scale-thickness ] }
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{ "!" [ 0.7 scale-thickness ] }
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{ "c" [ color-index get 1 + color-table get length* mod set-color-index ] }
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} command-table set-global ;
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! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
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! Examples
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! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
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SYMBOL: axiom
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SYMBOL: result
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! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
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: koch ( -- ) lparser-dialect 90 angle set-global
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H{ { "K" "[[a|b] '(0.41)f'(2.439) |<(60) [a|b]]" }
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{ "k" "[ c'(0.5) K]" }
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{ "a" "[d <(120) d <(120) d ]" }
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{ "b" "e" }
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{ "e" "[^ '(.2887)f'(3.4758) &(180) +z{.-(120)f-(120)f}]" }
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{ "d" "[^ '(.2887)f'(3.4758) &(109.5111) +zk{.-(120)f-(120)f}]" }
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} rules set-global
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"K" axiom set-global ;
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! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
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: spiral-0 ( -- ) lparser-dialect 10 angle set-global 5 thickness set-global
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"[P]|[P]" axiom set-global
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H{ { "P" "[A]>>>>>>>>>[cB]>>>>>>>>>[ccC]>>>>>>>>>[cccD]" }
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{ "A" "F+;'A" }
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{ "B" "F!+F+;'B" }
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{ "C" "F!^+F^+;'C" }
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{ "D" "F!>^+F>^+;'D" }
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} rules set-global ;
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! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
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: tree-5 ( -- ) lparser-dialect 5 angle set-global 1 thickness set-global
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"c(4)FFS" axiom set-global
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H{ { "S" "FFR>(60)R>(60)R>(60)R>(60)R>(60)R>(30)S" }
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{ "R" "[Ba]" }
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{ "a" "$tF[Cx]Fb" }
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{ "b" "$tF[Dy]Fa" }
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{ "B" "&B" }
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{ "C" "+C" }
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{ "D" "-D" }
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{ "x" "a" }
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{ "y" "b" }
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{ "F" "'(1.25)F'(.8)" }
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} rules set-global ;
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! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
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: abop-1 ( -- ) lparser-dialect 45 angle set-global 5 set-thickness
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H{ { "A" "F[&'(.8)!BL]>(137)'!(.9)A" }
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{ "B" "F[-'(.8)!(.9)$CL]'!(.9)C" }
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{ "C" "F[+'(.8)!(.9)$BL]'!(.9)B" }
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{ "L" "~c(8){+(30)f-(120)f-(120)f}" }
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} rules set-global
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"c(12)FFAL" axiom set-global ;
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! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
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: abop-2 ( -- ) lparser-dialect 30 angle set-global 5 thickness set-global
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H{ { "A" "F[&'(.7)!BL]>(137)[&'(.6)!BL]>(137)'(.9)!(.9)A" }
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{ "B" "F[-'(.7)!(.9)$CL]'(.9)!(.9)C" }
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{ "C" "F[+'(.7)!(.9)$BL]'(.9)!(.9)B" }
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{ "L" "~c(8){+(45)f(.1)-(45)f(.1)-(45)f(.1)+(45)|+(45)f(.1)-(45)f(.1)-(45)f(.1)}" }
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} rules set-global
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"c(12)FAL" axiom set-global ;
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! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
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: abop-3 ( -- ) lparser-dialect 30 angle set-global 5 thickness set-global
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H{ { "A" "!(.9)t(.4)FB>(94)B>(132)B" }
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{ "B" "[&t(.4)F$A]" }
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{ "F" "'(1.25)F'(.8)" }
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} rules set-global
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"c(12)FA" axiom set-global ;
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! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
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: abop-4 ( -- ) lparser-dialect 18 angle set-global 5 thickness set-global
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H{ { "N" "FII[&(60)rY]>(90)[&(45)'(0.8)rA]>(90)[&(60)rY]>(90)[&(45)'(0.8)rD]!FIK" }
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{ "Y" "[c(4){++l.--l.--l.++|++l.--l.--l.}]" }
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{ "l" "g(.2)l" }
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{ "K" "[!c(2)FF>w>(72)w>(72)w>(72)w>(72)w]" }
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{ "w" "[c(2)^!F][c(5)&(72){-(54)f(3)+(54)f(3)|-(54)f(3)+(54)f(3)}]" }
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{ "f" "_" }
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{ "A" "B" }
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{ "B" "C" }
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{ "C" "D" }
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{ "D" "E" }
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{ "E" "G" }
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{ "G" "H" }
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{ "H" "N" }
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{ "I" "FoO" }
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{ "O" "FoP" }
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{ "P" "FoQ" }
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{ "Q" "FoR" }
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{ "R" "FoS" }
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{ "S" "FoT" }
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{ "T" "FoU" }
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{ "U" "FoV" }
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{ "V" "FoW" }
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{ "W" "FoX" }
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{ "X" "_" }
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{ "o" "$t(-0.03)" }
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{ "r" "~(30)" }
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} rules set-global
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"c(12)&(20)N" axiom set-global ;
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! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
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: abop-5 ( -- ) lparser-dialect 5 angle set-global 5 thickness set-global
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H{ { "a" "F[+(45)l][-(45)l]^;ca" }
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{ "l" "j" }
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{ "j" "h" }
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{ "h" "s" }
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{ "s" "d" }
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{ "d" "x" }
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{ "x" "a" }
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{ "F" "'(1.17)F'(.855)" }
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} rules set-global
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"&(90)+(90)a" axiom set-global ;
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! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
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: abop-6 ( -- ) lparser-dialect 5 angle set-global 5 thickness set-global
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"&(90)+(90)FFF[-(120)'(.6)x][-(60)'(.8)x][+(120)'(.6)x][+(60)'(.8)x]x"
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axiom set-global
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H{ { "a" "F[cdx][cex]F!(.9)a" }
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{ "x" "a" }
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{ "d" "+d" }
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{ "e" "-e" }
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{ "F" "'(1.25)F'(.8)" }
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} rules set-global ;
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! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
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: airhorse ( -- ) lparser-dialect 10 angle set-global 5 thickness set-global
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"C" axiom set-global
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H{ { "C" "LBW" }
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{ "B" "[[''aH]|[g]]" }
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{ "a" "Fs+;'a" }
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{ "g" "Ft+;'g" }
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{ "s" "[::cc!!!!&&[FFcccZ]^^^^FFcccZ]" }
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{ "t" "[c!!!!&[FF]^^FF]" }
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{ "L" "O" }
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{ "O" "P" }
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{ "P" "Q" }
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{ "Q" "R" }
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{ "R" "U" }
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{ "U" "X" }
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{ "X" "Y" }
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{ "Y" "V" }
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{ "V" "[cc!!!&(90)[Zp]|[Zp]]" }
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{ "p" "h>(120)h>(120)h" }
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{ "h" "[+(40)!F'''p]" }
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{ "H" "[cccci[>(50)dcFFF][<(50)ecFFF]]" }
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{ "d" "Z!&Z!&:'d" }
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{ "e" "Z!^Z!^:'e" }
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{ "i" "-:/i" }
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{ "W" "[%[!!cb][<<<!!cb][>>>!!cb]]" }
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{ "b" "Fl!+Fl+;'b" }
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{ "l" "[-cc{--z++z++z--|--z++z++z}]" }
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} rules set-global ;
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