PgObject< Point, Line > Struct Template Reference

Projective Point/Line (int64_t specialization) More...

#include <pg_object.hpp>

Public Types
using	Dual = Line

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

Static Public Member Functions
static constexpr auto	parametrize (const int64_t &lambda_val, const Point &pt_p, const int64_t &mu_val, const Point &pt_q) -> Point
	Homogeneous parametrization of point or line.

Public Attributes
std::array< int64_t, 3 >	coord

Friends
constexpr auto	operator== (const Point &lhs, const Point &rhs) -> bool
	Equal to.
constexpr auto	operator!= (const Point &lhs, const Point &rhs) -> bool
	Not equal to.

Detailed Description

template<typename Point, typename Line>
struct PgObject< Point, Line >

Projective Point/Line (int64_t specialization)

Template Parameters

Point
Line

Member Typedef Documentation

Dual

template<typename Point , typename Line >

using PgObject< Point, Line >::Dual = Line

Constructor & Destructor Documentation

PgObject()

template<typename Point , typename Line >

constexpr PgObject< Point, Line >::PgObject ( std::array< int64_t, 3 >  coord )

inlineexplicitconstexpr

Construct a new Pg Object object.

Parameters

[in]

coord

Homogeneous coordinate

Member Function Documentation

aux()

template<typename Point , typename Line >

constexpr auto PgObject< Point, Line >::aux ( ) const -> Line

inlineconstexpr

Return the dual object (auxiliary line/point).

Returns

Line

dot()

template<typename Point , typename Line >

constexpr auto PgObject< Point, Line >::dot ( const Line &  other ) const -> int64_t

inlineconstexpr

Dot product with the dual object.

\[ a \cdot b = a_x b_x + a_y b_y + a_z b_z \]

Parameters

[in]

other

Returns

int64_t

incident()

template<typename Point , typename Line >

constexpr auto PgObject< Point, Line >::incident ( const Line &  other ) const -> bool

inlineconstexpr

Check incidence with the dual object.

Parameters

[in]

other

Returns

true

false

meet()

template<typename Point , typename Line >

constexpr auto PgObject< Point, Line >::meet ( const Point &  rhs ) const -> Line

inlineconstexpr

Meet (intersection) with another point to form a line.

\[ l = p \times q \]

Parameters

[in]

rhs

Returns

Line

parametrize()

template<typename Point , typename Line >

static constexpr auto PgObject< Point, Line >::parametrize ( const int64_t &  lambda_val, const Point &  pt_p, const int64_t &  mu_val, const Point &  pt_q  ) -> Point

inlinestaticconstexpr

Homogeneous parametrization of point or line.

\[ \lambda p + \mu q \]

Parameters

[in]	lambda
[in]	pt_p
[in]	mu
[in]	pt_q

Returns

Point

Friends And Related Symbol Documentation

operator!=

template<typename Point , typename Line >

constexpr auto operator!= ( const Point &  lhs, const Point &  rhs  ) -> bool

friend

Not equal to.

Parameters

[in]	lhs
[in]	rhs

Returns

true

false

operator==

template<typename Point , typename Line >

constexpr auto operator== ( const Point &  lhs, const Point &  rhs  ) -> bool

friend

Equal to.

Parameters

[in]	lhs
[in]	rhs

Returns

true

false

Member Data Documentation

coord

template<typename Point , typename Line >

std::array<int64_t, 3> PgObject< Point, Line >::coord

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

• projgeom/pg_object.hpp