Projective line: two dimensional subspace of K^3. More...

#include <pg_line.hpp>

Inheritance diagram for fun::pg_line< _K >:

Collaboration diagram for fun::pg_line< _K >:

Public Types
using	_Base = pg_object< _K, pg_line< _K >, pg_point< _K > >
	Value typedef.

using	_Base2 = std::array< _K, 3 >

Public Types inherited from fun::pg_object< _K, pg_line< _K >, pg_point< _K > >
using	Dual = pg_point< _K >

using	value_type = _K

Public Member Functions
constexpr	pg_line (const _Base2 &a)
	Construct a new pg object object.

constexpr	pg_line (const _K &x, const _K &y, const _K &z)
	Construct a new pg_object object.

Public Member Functions inherited from fun::pg_object< _K, pg_line< _K >, pg_point< _K > >
constexpr	pg_object (std::array< _K, 3 > coord)

constexpr	pg_object (const _K &x, const _K &y, const _K &z)

constexpr auto	aux () const -> pg_point< _K >

constexpr auto	dot (const pg_point< _K > &other) const -> _K

constexpr auto	incident (const pg_point< _K > &other) const -> bool

Additional Inherited Members
Static Public Member Functions inherited from fun::pg_object< _K, pg_line< _K >, pg_point< _K > >
static constexpr auto	parametrize (const _K &lambda_val, const pg_line< _K > &pt_p, const _K &mu_val, const pg_line< _K > &pt_q) -> pg_line< _K >

Public Attributes inherited from fun::pg_object< _K, pg_line< _K >, pg_point< _K > >
std::array< _K, 3 >	coord

Detailed Description

template<Ring _K>
struct fun::pg_line< _K >

Projective line: two dimensional subspace of K^3.

Template Parameters

_K	Type of line elements

Member Typedef Documentation

template<Ring _K>

using fun::pg_line< _K >::_Base = pg_object<_K, pg_line<_K>, pg_point<_K> >

Value typedef.

template<Ring _K>

using fun::pg_line< _K >::_Base2 = std::array<_K, 3>

template<Ring _K>

constexpr fun::pg_line< _K >::pg_line ( const _Base2 & a )

inlineexplicitconstexpr

Construct a new pg object object.

Parameters

[in] a array of coordinates

template<Ring _K>

constexpr fun::pg_line< _K >::pg_line	(	const _K &	x,
		const _K &	y,
		const _K &	z
	)

inlineconstexpr

Construct a new pg_object object.

Parameters

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