2008-03-01 17:00:45 -05:00
										 
									 
								 
							 | 
							
								
							 | 
							
								
							 | 
							
							
								IN: math.quaternions.tests
							 | 
						
					
						
							
								
									
										
										
										
											2007-09-20 18:09:08 -04:00
										 
									 
								 
							 | 
							
								
							 | 
							
								
							 | 
							
							
								USING: tools.test math.quaternions kernel math.vectors
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								math.constants ;
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							
								
									
										
										
										
											2010-02-02 03:30:21 -05:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								CONSTANT: q0 { 0 0 0 0 }
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								CONSTANT: q1 { 1 0 0 0 }
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								CONSTANT: qi { 0 1 0 0 }
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								CONSTANT: qj { 0 0 1 0 }
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								CONSTANT: qk { 0 0 0 1 }
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							
								
									
										
										
										
											2008-09-02 16:10:37 -04:00
										 
									 
								 
							 | 
							
								
							 | 
							
								
							 | 
							
							
								[ 1.0 ] [ qi norm ] unit-test
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								[ 1.0 ] [ qj norm ] unit-test
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								[ 1.0 ] [ qk norm ] unit-test
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								[ 1.0 ] [ q1 norm ] unit-test
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								[ 0.0 ] [ q0 norm ] unit-test
							 | 
						
					
						
							
								
									
										
										
										
											2007-09-20 18:09:08 -04:00
										 
									 
								 
							 | 
							
								
							 | 
							
								
							 | 
							
							
								[ t ] [ qi qj q* qk = ] unit-test
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								[ t ] [ qj qk q* qi = ] unit-test
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								[ t ] [ qk qi q* qj = ] unit-test
							 | 
						
					
						
							
								
									
										
										
										
											2010-02-02 03:30:21 -05:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								[ t ] [ qi qi q* q1 q+ q0 = ] unit-test
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								[ t ] [ qj qj q* q1 q+ q0 = ] unit-test
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								[ t ] [ qk qk q* q1 q+ q0 = ] unit-test
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								[ t ] [ qi qj qk q* q* q1 q+ q0 = ] unit-test
							 | 
						
					
						
							
								
									
										
										
										
											2007-09-20 18:09:08 -04:00
										 
									 
								 
							 | 
							
								
							 | 
							
								
							 | 
							
							
								[ t ] [ qk qj q/ qi = ] unit-test
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								[ t ] [ qi qk q/ qj = ] unit-test
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								[ t ] [ qj qi q/ qk = ] unit-test
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								[ t ] [ 1 c>q q1 = ] unit-test
							 | 
						
					
						
							
								
									
										
										
										
											2007-10-21 18:47:46 -04:00
										 
									 
								 
							 | 
							
								
							 | 
							
								
							 | 
							
							
								[ t ] [ C{ 0 1 } c>q qi = ] unit-test
							 | 
						
					
						
							
								
									
										
										
										
											2009-04-27 11:23:59 -04:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								[ t ] [ qi qi q+ qi 2 q*n = ] unit-test
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								[ t ] [ qi qi q- q0 = ] unit-test
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								[ t ] [ qi qj q+ qj qi q+ = ] unit-test
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								[ t ] [ qi qj q- qj qi q- -1 q*n = ] unit-test
							 | 
						
					
						
							
								
									
										
										
										
											2010-06-17 22:23:33 -04:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								[ { 2 2 2 2 } ] [ { 1 1 1 1 } 2 q*n ] unit-test
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								[ { 2 2 2 2 } ] [ 2 { 1 1 1 1 } n*q ] unit-test
							 |