3D operations on Flat types More...

#include <vsr_cga3D_round.h>

Static Public Member Functions
static VSR_PRECISION	wt (const DualLine &f, bool bDual=true)
	Weight of DualLine. More...

static DualPlane	plane (const Point &pnt, const DirectionVector &drv)
	Dual Plane from Point and Direction.

static Line	line (VSR_PRECISION x, VSR_PRECISION y, VSR_PRECISION z)
	Direct Line at origin with coordinate v ... More...

static Circle	dline (VSR_PRECISION x, VSR_PRECISION y, VSR_PRECISION z)
	Direct hyperbolic d-Line at origin with coordinate v ... More...


static DirectionVector	direction (const Line &f)
	Direction of Line. More...

static DirectionBivector	direction (const Plane &f)
	Direction of Plane. More...

template<class A >
static auto	dir (const A &s) -> decltype(direction(s))
	direction shorthand More...


static Point	location (const DualLine &f, const Point &p, bool dual=true)
	Location of DualLine closest to Point p. More...

static Point	location (const Line &f, const Point &p, bool dual=false)
	Location of Line closest to Point p. More...

static Point	location (const DualPlane &f, const Point &p, bool dual=true)
	Location of DualPlane closest to Point p. More...

static Point	location (const Plane &f, const Point &p, bool dual=false)
	Location of Plane closest to Point p. More...

template<class A >
static Point	loc (const A &a, const Point &p, bool dual)
	Location of flat (shorthand)three-letter version of cga::Flat::location. More...

Detailed Description

3D operations on Flat types

See also: Flat for a list of Multivector Types on which these methods operate; vsr::nga::Flat for Generic n-dimensional implementation details

Member Function Documentation

static DirectionVector vsr::cga::Flat::direction ( const Line & f )

static

Direction of Line.

Parameters

f Line

Returns: a Direction

static DirectionBivector vsr::cga::Flat::direction ( const Plane & f )

static

Direction of Plane.

Parameters

f Plane

Returns: a Direction

static Circle vsr::cga::Flat::dline	(	VSR_PRECISION	x,
		VSR_PRECISION	y,
		VSR_PRECISION	z
	)

static

Direct hyperbolic d-Line at origin with coordinate v ...

static Line vsr::cga::Flat::line	(	VSR_PRECISION	x,
		VSR_PRECISION	y,
		VSR_PRECISION	z
	)

static

Direct Line at origin with coordinate v ...

static Point vsr::cga::Flat::location	(	const DualLine &	f,
		const Point &	p,
		bool	dual = `true`
	)

static

Location of DualLine closest to Point p.

Parameters

f	DualLine
p	Point

Returns: Point

See also: nga::Flat::location for the Generic implementation

static Point vsr::cga::Flat::location	(	const Line &	f,
		const Point &	p,
		bool	dual = `false`
	)

static

Location of Line closest to Point p.

Parameters

f	Line
p	Point

Returns: conformal point in same metric as f

See also: nga::Flat::location for the Generic implementation

static Point vsr::cga::Flat::location	(	const DualPlane &	f,
		const Point &	p,
		bool	dual = `true`
	)

static

Location of DualPlane closest to Point p.

Parameters

f	DualPlane
p	Point

Returns: Point

See also: nga::Flat::location for the Generic implementation

static Point vsr::cga::Flat::location	(	const Plane &	f,
		const Point &	p,
		bool	dual = `false`
	)

static

Location of Plane closest to Point p.

Parameters

f	Plane
p	Point

Returns: Point

See also: nga::Flat::location for the Generic implementation

static VSR_PRECISION vsr::cga::Flat::wt	(	const DualLine &	f,
		bool	bDual = `true`
	)

static

Weight of DualLine.

Parameters

f	Dual or Direct Flat type e.g. vsr::cga::Line or vsr::cga::DualLine
bDual	boolean flag for whether first argument is a dual

The documentation for this struct was generated from the following file:

/Users/wolftype/code/versor/vsr/space/vsr_cga3D_round.h

Static Public Member Functions

Detailed Description

Member Function Documentation