ProjGeom 1.0.11
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Public Member Functions | List of all members
MyCKPoint Class Reference

Some Cayley-Klein Point. More...

#include <myck_object.hpp>

Inheritance diagram for MyCKPoint:
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Collaboration diagram for MyCKPoint:
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Public Member Functions

constexpr MyCKPoint (std::array< int64_t, 3 > coord)
 Construct a new My C K Point object.
 
constexpr auto perp () const -> MyCKLine
 Polar.
 
- Public Member Functions inherited from PgObject< MyCKPoint, MyCKLine >
constexpr PgObject (std::array< int64_t, 3 > coord)
 Construct a new Pg Object object.
 
constexpr auto aux () const -> MyCKLine
 Return the dual object (auxiliary line/point).
 
constexpr auto dot (const MyCKLine &other) const -> int64_t
 Dot product with the dual object.
 
constexpr auto incident (const MyCKLine &other) const -> bool
 Check incidence with the dual object.
 
constexpr auto meet (const MyCKPoint &rhs) const -> MyCKLine
 Meet (intersection) with another point to form a line.
 

Additional Inherited Members

- Public Types inherited from PgObject< MyCKPoint, MyCKLine >
using Dual = MyCKLine
 
- Static Public Member Functions inherited from PgObject< MyCKPoint, MyCKLine >
static constexpr auto parametrize (const int64_t &lambda_val, const MyCKPoint &pt_p, const int64_t &mu_val, const MyCKPoint &pt_q) -> MyCKPoint
 Homogeneous parametrization of point or line.
 
- Public Attributes inherited from PgObject< MyCKPoint, MyCKLine >
std::array< int64_t, 3 > coord
 

Detailed Description

Some Cayley-Klein Point.

Constructor & Destructor Documentation

◆ MyCKPoint()

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

Construct a new My C K Point object.

Parameters
[in]coordHomogeneous coordinate

Member Function Documentation

◆ perp()

constexpr auto MyCKPoint::perp ( ) const -> MyCKLine
constexpr

Polar.

Returns
MyCKLine

\[ (x, y, z)^\perp = (-2x,\; y,\; -2z) \]

Returns
MyCKLine

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