86 lines
		
	
	
		
			2.3 KiB
		
	
	
	
		
			Factor
		
	
	
		
		
			
		
	
	
			86 lines
		
	
	
		
			2.3 KiB
		
	
	
	
		
			Factor
		
	
	
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								USING: kernel namespaces
							 | 
						||
| 
								 | 
							
								       math math.constants math.functions math.matrices math.vectors
							 | 
						||
| 
								 | 
							
								       sequences splitting self ;
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								IN: ori
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								TUPLE: ori val ;
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								C: <ori> ori
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								! Temporarily defined here until math-contrib gets moved to extra/
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								: deg>rad pi * 180 / ; inline
							 | 
						||
| 
								 | 
							
								: rad>deg 180 * pi / ; inline
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								: ori> ( -- val ) self> ori-val ;
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								: >ori ( val -- ) self> set-ori-val ;
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								: make-matrix ( quot width -- matrix ) >r { } make r> group ;
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								! These rotation matrices are from
							 | 
						||
| 
								 | 
							
								! `Computer Graphics: Principles and Practice'
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								: Rz ( angle -- Rx ) deg>rad
							 | 
						||
| 
								 | 
							
								[ dup cos ,	dup sin neg ,	0 ,
							 | 
						||
| 
								 | 
							
								  dup sin ,	dup cos ,	0 ,
							 | 
						||
| 
								 | 
							
								  0 ,		0 ,		1 , ] 3 make-matrix nip ;
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								: Ry ( angle -- Ry ) deg>rad
							 | 
						||
| 
								 | 
							
								[ dup cos ,	0 ,		dup sin ,
							 | 
						||
| 
								 | 
							
								  0 ,		1 ,		0 ,
							 | 
						||
| 
								 | 
							
								  dup sin neg ,	0 ,		dup cos , ] 3 make-matrix nip ;
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								: Rx ( angle -- Rz ) deg>rad
							 | 
						||
| 
								 | 
							
								[ 1 ,		0 ,		0 ,
							 | 
						||
| 
								 | 
							
								  0 ,		dup cos ,	dup sin neg ,
							 | 
						||
| 
								 | 
							
								  0 ,		dup sin ,	dup cos , ] 3 make-matrix nip ;
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								: apply-rotation ( rotation -- ) ori> swap m. >ori ;
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								: rotate-x ( angle -- ) Rx apply-rotation ;
							 | 
						||
| 
								 | 
							
								: rotate-y ( angle -- ) Ry apply-rotation ;
							 | 
						||
| 
								 | 
							
								: rotate-z ( angle -- ) Rz apply-rotation ;
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								: pitch-up   ( angle -- ) neg rotate-x ;
							 | 
						||
| 
								 | 
							
								: pitch-down ( angle -- )     rotate-x ;
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								: turn-left ( angle -- )      rotate-y ;
							 | 
						||
| 
								 | 
							
								: turn-right ( angle -- ) neg rotate-y ;
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								: roll-left  ( angle -- ) neg rotate-z ;
							 | 
						||
| 
								 | 
							
								: roll-right ( angle -- )     rotate-z ;
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
							 | 
						||
| 
								 | 
							
								! roll-until-horizontal
							 | 
						||
| 
								 | 
							
								! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								: V ( -- V ) { 0 1 0 } ;
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								: X ( -- 3array ) ori> [ first  ] map ;
							 | 
						||
| 
								 | 
							
								: Y ( -- 3array ) ori> [ second ] map ;
							 | 
						||
| 
								 | 
							
								: Z ( -- 3array ) ori> [ third  ] map ;
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								: set-X ( seq -- ) ori> [ set-first ] 2each ;
							 | 
						||
| 
								 | 
							
								: set-Y ( seq -- ) ori> [ set-second ] 2each ;
							 | 
						||
| 
								 | 
							
								: set-Z ( seq -- ) ori> [ set-third ] 2each ;
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								: roll-until-horizontal ( -- )
							 | 
						||
| 
								 | 
							
								V Z cross normalize set-X
							 | 
						||
| 
								 | 
							
								Z X cross normalize set-Y ;
							 | 
						||
| 
								 | 
							
								
							 |