rcsc::Matrix2D Class Reference

2D translation matrix class More...

#include <matrix_2d.h>

Public Member Functions
	Matrix2D ()
	create an identity matrix
	Matrix2D (const double &m11, const double &m12, const double &m21, const double &m22, const double &dx, const double &dy)
	create a matrix with all elements.
const Matrix2D &	reset ()
	reset to the identity matrix
const Matrix2D &	assign (const double &m11, const double &m12, const double &m21, const double &m22, const double &dx, const double &dy)
	set a matrix element with the specified values.
const double &	m11 () const
	get the horizontal scaling factor.
const double &	m12 () const
	get the vertical shearing factor.
const double &	m21 () const
	get the horizontal shearing factor.
const double &	m22 () const
	get the vertical scaling factor.
const double &	dx () const
	get the horizontal translation factor.
const double &	dy () const
	get the vertical translation factor.
double	det () const
	get the matrix's determinant.
bool	invertible () const
	check if this matrix is invertible (is not isingular).
Matrix2D	inverted () const
	get the inverted matrix.
Matrix2D &	translate (const double &dx, const double &dy)
	moves the coordinate system.
Matrix2D &	scale (const double &sx, const double &sy)
	scales the coordinate system.
Matrix2D &	rotate (const AngleDeg &angle)
	rotates the coordinate system
const Matrix2D &	operator*= (const Matrix2D &m)
	multiplied by other matrix
Vector2D	transform (const Vector2D &v) const
	create transformed vector from input vector with this matrix
Vector2D	transform (const double &x, const double &y) const
	create transformed vector from input coordinates with this matrix
void	transform (Vector2D *v) const
	transform input vector with this matrix
std::ostream &	print (std::ostream &os) const
	put all elemtns to the output stream

Static Public Member Functions
static Matrix2D	make_translation (const double &dx, const double &dy)
	create the translation matrix.
static Matrix2D	make_scaling (const double &sx, const double &sy)
	create the scaling matrix.
static Matrix2D	make_rotation (const AngleDeg &angle)
	create the rotation matrix.

Detailed Description

2D translation matrix class

( m11, m12, dx ) ( m21, m22, dy ) ( 0, 0, 1 )

Constructor & Destructor Documentation

Matrix2D()

rcsc::Matrix2D::Matrix2D ( const double & m11, const double & m12, const double & m21, const double & m22, const double & dx, const double & dy )

inline

create a matrix with all elements.

Parameters

m11	the horizontal scaling factor.
m12	the vertical shearing factor.
m21	the horizontal shearing factor.
m22	the vertical scaling factor.
dx	the horizontal translation factor.
dy	the vertical translation factor.

Member Function Documentation

assign()

const Matrix2D & rcsc::Matrix2D::assign ( const double & m11, const double & m12, const double & m21, const double & m22, const double & dx, const double & dy )

inline

set a matrix element with the specified values.

Parameters

m11	the horizontal scaling factor.
m12	the vertical shearing factor.
m21	the horizontal shearing factor.
m22	the vertical scaling factor.
dx	the horizontal translation factor.
dy	the vertical translation factor.

Returns

const reference to itself

det()

double rcsc::Matrix2D::det ( ) const

inline

get the matrix's determinant.

Returns

the determinant value.

dx()

const double & rcsc::Matrix2D::dx ( ) const

inline

get the horizontal translation factor.

Returns

the horizontal translation factor value.

dy()

const double & rcsc::Matrix2D::dy ( ) const

inline

get the vertical translation factor.

Returns

the vertical translation factor value.

inverted()

Matrix2D rcsc::Matrix2D::inverted

(

)

const

get the inverted matrix.

Returns

the invverted matrix object.

invertible()

bool rcsc::Matrix2D::invertible ( ) const

inline

check if this matrix is invertible (is not isingular).

Returns

true if this matirix is invertibale.

m11()

const double & rcsc::Matrix2D::m11 ( ) const

inline

get the horizontal scaling factor.

Returns

the horizontal scaling factor value.

m12()

const double & rcsc::Matrix2D::m12 ( ) const

inline

get the vertical shearing factor.

Returns

the vertical shearing factor value.

m21()

const double & rcsc::Matrix2D::m21 ( ) const

inline

get the horizontal shearing factor.

Returns

the horizontal shearing factor value.

m22()

const double & rcsc::Matrix2D::m22 ( ) const

inline

get the vertical scaling factor.

Returns

the vertical scaling factor value.

make_rotation()

Matrix2D rcsc::Matrix2D::make_rotation ( const AngleDeg & angle )

inlinestatic

create the rotation matrix.

Parameters

angle

the rotation angle

Returns

new matrix object

make_scaling()

Matrix2D rcsc::Matrix2D::make_scaling ( const double & sx, const double & sy )

inlinestatic

create the scaling matrix.

Parameters

sx	the horizontal scaling factor.
sy	the vertical scaling factor.

Returns

new matrix object

make_translation()

Matrix2D rcsc::Matrix2D::make_translation ( const double & dx, const double & dy )

inlinestatic

create the translation matrix.

Parameters

dx	the horizontal translation factor.
dy	the vertical translation factor.

Returns

new matrix object

operator*=()

const Matrix2D & rcsc::Matrix2D::operator*= ( const Matrix2D & m )

inline

multiplied by other matrix

Parameters

m	left hand side matrix

Returns

const reference to itself

print()

std::ostream & rcsc::Matrix2D::print ( std::ostream & os ) const

inline

put all elemtns to the output stream

Parameters

os	reference to the output stream

Returns

reference to the output stream

reset()

const Matrix2D & rcsc::Matrix2D::reset ( )

inline

reset to the identity matrix

Returns

const reference to itself

rotate()

Matrix2D & rcsc::Matrix2D::rotate

(

const AngleDeg &

angle

)

rotates the coordinate system

Parameters

angle

rotation angle

Returns

const reference to itself

same as: this = make_rotation(angle) * this

scale()

Matrix2D & rcsc::Matrix2D::scale ( const double & sx, const double & sy )

inline

scales the coordinate system.

Parameters

sx	scaling factor for the x axis.
sy	scaling factor for the y axis.

Returns

const reference to itself.

same as: this = make_scaling(sx,sy) * this

transform() [1/3]

Vector2D rcsc::Matrix2D::transform ( const double & x, const double & y ) const

inline

create transformed vector from input coordinates with this matrix

Parameters

x	input x-coordinates value
y	input y-coordinates value

Returns

mapped vector object

transform() [2/3]

Vector2D rcsc::Matrix2D::transform ( const Vector2D & v ) const

inline

create transformed vector from input vector with this matrix

Parameters

v	input vector

Returns

mapped vector object

transform() [3/3]

void rcsc::Matrix2D::transform ( Vector2D * v ) const

inline

transform input vector with this matrix

Parameters

v	pointer to the input vector.

translate()

Matrix2D & rcsc::Matrix2D::translate ( const double & dx, const double & dy )

inline

moves the coordinate system.

Parameters

dx	move factor for the x axis.
dy	move factor for the y axis.

Returns

const reference to itself.

same as: this = make_translation(dx,dy) * this

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

• ui/geom/matrix_2d.h
• ui/geom/matrix_2d.cpp