ck_plane.hpp File Reference

Cayley-Klein plane functions: perpendicularity, altitude, orthocenter, reflection. More...

#include <array>
#include "pg_plane.hpp"

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Namespaces
namespace	fun

Functions
template<class Line , class Point = typename Line::Dual>
constexpr auto	fun::is_perpendicular (const Line &l_1, const Line &l_2) -> bool
	Check if two lines are perpendicular (Cayley-Klein).
template<class Point , class Line >
constexpr auto	fun::altitude (const Point &pt_p, const Line &ln_m) -> Line
	Compute the altitude from a point to a line (Cayley-Klein).
template<class Point , class Line = typename Point::Dual>
constexpr auto	fun::orthocenter (const std::array< Point, 3 > &triangle) -> Point
	Compute the orthocenter of a triangle (Cayley-Klein).
template<class Point , class Line >
constexpr auto	fun::tri_altitude (const std::array< Point, 3 > &triangle) -> std::array< Line, 3 >
	Compute all three altitudes of a triangle (Cayley-Klein).
template<typename Value , class Point , class Line = typename Point::Dual>
constexpr auto	fun::reflect (const Line &mirror, const Point &pt_p) -> Point
	Reflect a point across a line (Cayley-Klein).

Detailed Description

Cayley-Klein plane functions: perpendicularity, altitude, orthocenter, reflection.