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quakeforge/ruamoko/gatest/multivector.h

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[gatest] Add basic geometric algebra test This is for developing methods of implementing geometric algebra and eventually playing with it visually.
2023-05-18 15:34:05 +00:00
#ifndef __multivector_h
#define __multivector_h
#include <Object.h>
@class Algebra;
@class BasisLayout;
[gatest] Write a simple parser for playing with GA Currently only PGA(3) is supported, but that's because the parser is rather simple (recursive descent with a lame lexer), but it works well enough for playing with geometric algebra without having to recompile every time.
2023-05-27 03:39:13 +00:00
@class BasisBlase;
[gatest] Add basic geometric algebra test This is for developing methods of implementing geometric algebra and eventually playing with it visually.
2023-05-18 15:34:05 +00:00
@interface MultiVector : Object
{
double *components;
Algebra *algebra;
BasisLayout *layout;
int num_components;
}
+(MultiVector *) new:(Algebra *) algebra;
// NOTE: values must have the same layout as algebra
+(MultiVector *) new:(Algebra *) algebra values:(double *) values;
+(MultiVector *) new:(Algebra *) algebra group:(BasisGroup *) group;
// NOTE: values must have the same layout as group
+(MultiVector *) new:(Algebra *) algebra group:(BasisGroup *) group values:(double *) values;
+(MultiVector *) copy:(MultiVector *) src;
[gatest] Write a simple parser for playing with GA Currently only PGA(3) is supported, but that's because the parser is rather simple (recursive descent with a lame lexer), but it works well enough for playing with geometric algebra without having to recompile every time.
2023-05-27 03:39:13 +00:00
-(double *) components;
-(int)indexFor:(unsigned)mask;
-(double *) componentFor:(BasisBlade *) blade;
[gatest] Add basic geometric algebra test This is for developing methods of implementing geometric algebra and eventually playing with it visually.
2023-05-18 15:34:05 +00:00
-(MultiVector *) product:(MultiVector *) rhs;
[gatest] Parse division and dual operations
2023-05-29 00:52:10 +00:00
-(MultiVector *) divide:(MultiVector *) rhs;
[gatest] Add basic geometric algebra test This is for developing methods of implementing geometric algebra and eventually playing with it visually.
2023-05-18 15:34:05 +00:00
-(MultiVector *) wedge:(MultiVector *) rhs;
-(MultiVector *) dot:(MultiVector *) rhs;
[gatest] Write a simple parser for playing with GA Currently only PGA(3) is supported, but that's because the parser is rather simple (recursive descent with a lame lexer), but it works well enough for playing with geometric algebra without having to recompile every time.
2023-05-27 03:39:13 +00:00
-(MultiVector *) plus:(MultiVector *) rhs;
-(MultiVector *) minus:(MultiVector *) rhs;
[gatest] Add basic geometric algebra test This is for developing methods of implementing geometric algebra and eventually playing with it visually.
2023-05-18 15:34:05 +00:00
-(MultiVector *) dual;
[gatest] Implement and use multi-vector reverse This gives the resultant point the correct sign. Though the projective divide would take care of the sign, this makes reading the point a little less confusing (still need to sort out automatic blade reversals for the likes of e31).
2023-05-24 09:25:47 +00:00
-(MultiVector *) reverse;
[gatest] Add basic geometric algebra test This is for developing methods of implementing geometric algebra and eventually playing with it visually.
2023-05-18 15:34:05 +00:00
@end
#endif//__multivector_h
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