Hyperbolic Line. More...

Inheritance diagram for HyperbolicLine:

Collaboration diagram for HyperbolicLine:

Public Member Functions
constexpr	HyperbolicLine (std::array< int64_t, 3 > coord)
	Construct a new Hyperbolic Line object.

constexpr auto	perp () const -> HyperbolicPoint
	Pole.

Public Member Functions inherited from PgObject< HyperbolicLine, HyperbolicPoint >
constexpr	PgObject (std::array< int64_t, 3 > coord)
	Construct a new Pg Object object.

constexpr auto	aux () const -> HyperbolicPoint
	Return the dual object (auxiliary line/point).

constexpr auto	dot (const HyperbolicPoint &other) const -> int64_t
	Dot product with the dual object.

constexpr auto	incident (const HyperbolicPoint &other) const -> bool
	Check incidence with the dual object.

constexpr auto	meet (const HyperbolicLine &rhs) const -> HyperbolicPoint
	Meet (intersection) with another point to form a line.

Additional Inherited Members
Public Types inherited from PgObject< HyperbolicLine, HyperbolicPoint >
using	Dual = HyperbolicPoint

Static Public Member Functions inherited from PgObject< HyperbolicLine, HyperbolicPoint >
static constexpr auto	parametrize (const int64_t &lambda_val, const HyperbolicLine &pt_p, const int64_t &mu_val, const HyperbolicLine &pt_q) -> HyperbolicLine
	Homogeneous parametrization of point or line.

Public Attributes inherited from PgObject< HyperbolicLine, HyperbolicPoint >
std::array< int64_t, 3 >	coord

Detailed Description

Hyperbolic Line.

Constructor & Destructor Documentation

constexpr HyperbolicLine::HyperbolicLine ( std::array< int64_t, 3 > coord )

inlineexplicitconstexpr

Construct a new Hyperbolic Line object.

Parameters

[in] coord Homogeneous coordinate

constexpr auto HyperbolicLine::perp ( ) const -> HyperbolicPoint

constexpr

Pole.

\[ (x, y, z)^\perp = (x, y, -z) \]

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