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. More...

const Matrix2D &	reset ()
	reset to the identity matrix More...

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. More...

double	m11 () const
	get the horizontal scaling factor. More...

double	m12 () const
	get the vertical shearing factor. More...

double	m21 () const
	get the horizontal shearing factor. More...

double	m22 () const
	get the vertical scaling factor. More...

double	dx () const
	get the horizontal translation factor. More...

double	dy () const
	get the vertical translation factor. More...

double	det () const
	get the matrix's determinant. More...

bool	invertible () const
	check if this matrix is invertible (is not isingular). More...

Matrix2D	inverted () const
	get the inverted matrix. More...

Matrix2D &	translate (const double dx, const double dy)
	moves the coordinate system. More...

Matrix2D &	scale (const double sx, const double sy)
	scales the coordinate system. More...

Matrix2D &	rotate (const AngleDeg &angle)
	rotates the coordinate system More...

const Matrix2D &	operator*= (const Matrix2D &m)
	multiplied by other matrix More...

Vector2D	transform (const Vector2D &v) const
	create transformed vector from input vector with this matrix More...

Vector2D	transform (const double x, const double y) const
	create transformed vector from input coordinates with this matrix More...

void	transform (Vector2D *v) const
	transform input vector with this matrix More...

std::ostream &	print (std::ostream &os) const
	put all elemtns to the output stream More...

Static Public Member Functions
static Matrix2D	make_translation (const double dx, const double dy)
	create the translation matrix. More...

static Matrix2D	make_scaling (const double sx, const double sy)
	create the scaling matrix. More...

static Matrix2D	make_rotation (const AngleDeg &angle)
	create the rotation matrix. More...

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()

double rcsc::Matrix2D::dx ( ) const

inline

get the horizontal translation factor.

Returns: the horizontal translation factor value.

◆ dy()

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()

double rcsc::Matrix2D::m11 ( ) const

inline

get the horizontal scaling factor.

Returns: the horizontal scaling factor value.

◆ m12()

double rcsc::Matrix2D::m12 ( ) const

inline

get the vertical shearing factor.

Returns: the vertical shearing factor value.

◆ m21()

double rcsc::Matrix2D::m21 ( ) const

inline

get the horizontal shearing factor.

Returns: the horizontal shearing factor value.

◆ m22()

double rcsc::Matrix2D::m22 ( ) const

inline

get the vertical scaling factor.

Returns: the vertical scaling factor value.

◆ make_rotation()

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

inlinestatic

create the rotation matrix.

Parameters

angle the rotation angle

Returns: new matrix object

◆ make_scaling()

static 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()

static 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

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

/home/kali/rc/tools/include/rcsc/geom/matrix_2d.h

Public Member Functions

Static Public Member Functions

Detailed Description

Constructor & Destructor Documentation

◆ Matrix2D()

Member Function Documentation

◆ assign()

◆ det()

◆ dx()

◆ dy()

◆ inverted()

◆ invertible()

◆ m11()

◆ m12()

◆ m21()

◆ m22()

◆ make_rotation()

◆ make_scaling()

◆ make_translation()

◆ operator*=()

◆ print()

◆ reset()

◆ rotate()

◆ scale()

◆ transform() [1/3]

◆ transform() [2/3]

◆ transform() [3/3]

◆ translate()