Hyperbolic Point. More...

Inheritance diagram for HyperbolicPoint:

Collaboration diagram for HyperbolicPoint:

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

constexpr auto	perp () const -> HyperbolicLine
	Polar.

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

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

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

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

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

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

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

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

Detailed Description

Hyperbolic Point.

Constructor & Destructor Documentation

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

inlineexplicitconstexpr

Construct a new Hyperbolic Point object.

Parameters

[in] coord Homogeneous coordinate

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

constexpr

Polar.

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

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