CGA Macros

For making commonly used geometric entities. More...

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)))

Detailed Description

For making commonly used geometric entities.