fun::Involution< Point, Line > Class Template Reference

#include <proj_plane.hpp>

Public Member Functions
constexpr	Involution (Line ln_m, Point o)
	Construct a new Involution object.
constexpr auto	operator() (const Point &pt_p) const -> Point
	Apply the involution to a point.
constexpr auto	operator() (const Line &ln_l) const -> Line
	Apply the involution to a line.

Detailed Description

template<typename Point, typename Line>
requires ProjectivePlane<Point, Line>
class fun::Involution< Point, Line >

Template Parameters

Point
Line

Constructor & Destructor Documentation

Involution()

template<typename Point , typename Line >

constexpr fun::Involution< Point, Line >::Involution ( Line  ln_m, Point  o  )

inlineconstexpr

Construct a new Involution object.

Parameters

[in]	ln_m
[in]	o

Member Function Documentation

operator()() [1/2]

template<typename Point , typename Line >

constexpr auto fun::Involution< Point, Line >::operator() ( const Line &  ln_l ) const -> Line

inlineconstexpr

Apply the involution to a line.

Returns the image of ln_l under the involution.

\[ l' = \operatorname{parametrize}(c,\; l,\; -2(l \cdot o),\; m) \]

Parameters

[in]

ln_l

The line to transform

Returns

Line The transformed line

operator()() [2/2]

template<typename Point , typename Line >

constexpr auto fun::Involution< Point, Line >::operator() ( const Point &  pt_p ) const -> Point

inlineconstexpr

Apply the involution to a point.

Returns the image of pt_p under the involution.

\[ p' = \operatorname{parametrize}(c,\; p,\; -2(p \cdot m),\; o) \]

Parameters

[in]

pt_p

The point to transform

Returns

Point The transformed point

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

• projgeom/proj_plane.hpp