rt::euclidian Class Reference

Localised vector class. More...

#include <euclidian.hpp>

Inheritance diagram for rt::euclidian:

Public Member Functions
	euclidian (const vector &origin, const vector &u)
	Constructor. More...
const vector &	direction () const
	The direction vector.
const vector &	u () const
	The direction vector (alias for euclidian::direction())
const vector &	origin () const
	The position vector.

Friends
euclidian	operator* (const matrix &, const euclidian &)
	Matrix multiplication with an euclidian. More...

Detailed Description

Localised vector class.

An euclidian represent a direction vector and a position vector.

Constructor & Destructor Documentation

euclidian()

rt::euclidian::euclidian	(	const vector &	origin,
		const vector &	u
	)

Constructor.

Make a new euclidian from its origin and direction.

Parameters

origin	the euclidian location
u	the euclidian direction. Note that the vector is automaticaly transformed into a unit vector.

Friends And Related Function Documentation

operator*

euclidian operator* ( const matrix &  m, const euclidian &  e  )

friend

Matrix multiplication with an euclidian.

Parameters

m	a 4x4 transformation matrix.
e	an euclidian.

This operator is very usefull to map an euclidian in a new space reference.

 euclidian e(vector(0.0, 0.0, 0.0), vector(0.0, 1.0, 0.0));
 matrix m;
 m.translate(vector(1.0, 5.0, -2.0)); // translation
 m.rotate(45, 1.0, 0.0, 0.0); // 45° rotation along x-axis

 euclidian local_e = m*e; // map e into m referential.

The multiplication is defined for a matrix \(M\) and euclidian \(E\) as follow:

\begin{eqnarray*} (M\times E)_{origin} &=& M\times E_{origin} \\ (M\times E)_{direction} &=& M\times(E_{origin}+E_{direction}) - (M\times E)_{origin} \end{eqnarray*}

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

• sources/core/euclidian.hpp
• sources/core/euclidian.cpp