vsr_cga3D_op.h File Reference

Common Operations Specific to CGA3D. More...

#include <math.h>
#include <vector>
#include "vsr_cga3D_types.h"
#include "vsr_cga3D_round.h"
#include "detail/vsr_generic_op.h"
#include "util/vsr_constants.h"
#include "util/vsr_math.h"

Go to the source code of this file.

Classes
struct	vsr::cga::Op
	Extraction of axis-angle orientation and 3D position features from Multivectors. More...
struct	vsr::cga::Gen
	Generators and Logarithms Optimized for 3D Conformal Geometric Algebra. More...
struct	vsr::cga::Construct
	constructive syntactic sugar for making geometric elements More...

Namespaces
	vsr
	the versor library namespace
	vsr::cga
	3D Conformal Geometric Algebra Namespace

Macros
#define	E1   e1(1)
#define	E2   e2(1)
#define	E3   e3(1)
#define	PT(x, y, z)   vsr::cga::Round::null(vsr::cga::Vec(x,y,z))
	A vsr::cga::Point at coordinates x,y,z.
#define	DLS(r)   vsr::cga::Round::dls(0,0,0,r)
	A vsr::cga::DualSphere at (0,0,0) with radius r.
#define	PV(v)   vsr::cga::Round::null(v)
#define	PX(f)   vsr::cga::Round::null(vsr::cga::Vec(f,0,0))
#define	PY(f)   vsr::cga::Round::null(vsr::cga::Vec(0,f,0))
#define	PZ(f)   vsr::cga::Round::null(vsr::cga::Vec(0,0,f))
#define	PAIR(x, y, z)   (PT(x,y,z)^PT(-x,-y,-z))
	A vsr::cga::Pair of points at x,y,z and -x,-y,-z.
#define	CXY(f)   (PX(f)^PY(f)^PX(-f)).unit()
	A vsr::cga::Circle in xy plane with radius f.
#define	CXZ(f)   (PX(f)^PZ(f)^PX(-f)).unit()
	A vsr::cga::Circle in xz plane with radius f.
#define	CYZ(f)   (PY(f)^PY(-f)^PZ(f)).unit()
	A vsr::cga::Circle in yz plane with radius f.
#define	F2S(f)   f*1000.0
#define	S2F(f)   f/1000.0
#define	LN(x, y, z)   ( vsr::cga::Point(0,0,0,1,.5)^PT(x,y,z)^vsr::cga::Inf(1) )
	vsr::cga::Line through origin in direction x,y,z
#define	DLN(x, y, z)   ( vsr::Op::dl(LN(x,y,z)) )
	vsr::cga::DualLine through origin in direction x,y,z
#define	PAO   vsr::cga::Point(0,0,0,1,0)
	vsr::cga::Point At Origin
#define	EP   vsr::cga::Dls(0,0,0,1,-.5)
	unit vsr::cga::DualSphere at origin: swap with infinity for hyperbolic space
#define	EM   vsr::cga::Dls(0,0,0,1,.5)
	unit imaginary vsr::cga::DualSphere at origin: swap with infinity for spherical space
#define	INFTY   vsr::cga::Inf(1)
	vsr::cga::Infinity(1)
#define	HYPERBOLIC_INF   EP
#define	SPHERICAL_INF   EM
#define	EUCLIDEAN_INF   INFTY
#define	HLN(x, y, z)   (vsr::cga::Ori(1)^PT(x,y,z)^EP)
#define	HDLN(x, y, z)   (vsr::Op::dl(HLN(x,y,z)))

Variables
auto	vsr::cga::pointOnLine
	Point on line closest to another point v. More...
auto	vsr::cga::pointOnCircle
	a single point on circle c at theta t More...
auto	vsr::cga::pointsOnCircle
	n points on circle c More...
auto	vsr::cga::pairOnSphere
	a pair on dual sphere More...
auto	vsr::cga::pointOnSphere
	a single point on dual sphere s at theta t and phi p More...
auto	vsr::cga::pointsOnSphere
	many points on sphere (could use map func from gfx::data) More...

Detailed Description

Common Operations Specific to CGA3D.

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