ml7::Matrix2x2 Class Reference

#include <Matrix2x2.h>

List of all members.

Public Member Functions
	Matrix2x2 (void)
	Matrix2x2 (const Matrix2x2 &m)
Matrix2x2 &	operator= (const Matrix2x2 &m)
void	swap (Matrix2x2 &m)
	~Matrix2x2 (void)
	Matrix2x2 (const float _11, const float _12, const float _21, const float _22)
	Matrix2x2 (const float phi)
const float	det () const
const Matrix2x2	transposed () const
const Matrix2x2	inverted () const
const float	operator[] (unsigned index) const
float &	operator[] (unsigned index)
const Vector2	get (unsigned i) const
const Matrix2x2 &	set (unsigned i, const Vector2 &v)
const Matrix2x2 &	set (const ml7::Vector2 &x, const ml7::Vector2 &y)
const float	angle () const
const Matrix2x2	operator- () const
const Matrix2x2	operator+ (const Matrix2x2 &m) const
const Matrix2x2	operator- (const Matrix2x2 &m) const
const Matrix2x2	operator* (const float s) const
const Vector2	operator* (const Vector2 &v) const
const Matrix2x2	operator* (const Matrix2x2 &m) const
const Vector2	trans (const Vector2 &v) const
const Vector2	transinv (const Vector2 &v) const
Matrix2x2 &	operator+= (const Matrix2x2 &m)
Matrix2x2 &	operator-= (const Matrix2x2 &m)
Matrix2x2 &	operator*= (const float s)
Matrix2x2 &	operator*= (const Matrix2x2 &m)
Matrix2x2 &	clear ()
Matrix2x2 &	identity ()
Matrix2x2 &	transpose ()
Matrix2x2 &	transpose (const Matrix2x2 &m)
Matrix2x2 &	invert ()
Matrix2x2 &	invert (const Matrix2x2 &m)
Matrix2x2 &	rotation (const float phi)
const bool	operator== (const Matrix2x2 &m) const
const bool	operator!= (const Matrix2x2 &m) const
const bool	operator< (const Matrix2x2 &m) const
const bool	operator> (const Matrix2x2 &m) const
const bool	operator<= (const Matrix2x2 &m) const
const bool	operator>= (const Matrix2x2 &m) const
	operator const float *const () const
	operator float *const ()
Public Attributes
union {
struct {
float   a
float   b
float   c
float   d
}
struct {
float   _11
float   _12
float   _21
float   _22
}
float   data [4]
float   m [2][2]
};

---

Detailed Description

Represents a 2x2-matrix for rotating 2d-vectors. Used for 2d-physics and -graphics.

---

Constructor & Destructor Documentation

ml7::Matrix2x2::Matrix2x2

(

void

)

[inline]

Default constructor. Creates a new identity matrix representing a zero rotation.

ml7::Matrix2x2::Matrix2x2

(

const Matrix2x2 &

m

)

[inline]

Copy constructor. Copies a given matrix m.

ml7::Matrix2x2::~Matrix2x2

(

void

)

[inline]

Destructor.

ml7::Matrix2x2::Matrix2x2	(	const float	_11,
		const float	_12,
		const float	_21,
		const float	_22
	)			[inline]

Explicit constructor with parameters for each element.

ml7::Matrix2x2::Matrix2x2

(

const float

phi

)

[inline, explicit]

Explicit constructor. Creates a rotation matrix by a ccw-angle phi in radians.

---

Member Function Documentation

const float ml7::Matrix2x2::angle

(

)

const [inline]

Returns the angle of the counter-clockwise rotation represented by this matrix.

Matrix2x2& ml7::Matrix2x2::clear

(

)

[inline]

Forces this matrix to be an empty matrix representing no legal rotation.

const float ml7::Matrix2x2::det

(

)

const [inline]

Returns the determinant of this matrix.

const Vector2 ml7::Matrix2x2::get

(

unsigned

i

)

const [inline]

Returns the i-th (0-indexed) column vector of this matrix.

Matrix2x2& ml7::Matrix2x2::identity

(

)

[inline]

Forces this matrix to be an identity matrix representing a zero rotation.

Matrix2x2& ml7::Matrix2x2::invert

(

)

[inline]

Inverts this matrix. Fortunately we have to deal with a rotation matrix so we confidently may do a transposition instead of an expensive inversion.

Matrix2x2& ml7::Matrix2x2::invert

(

const Matrix2x2 &

m

)

[inline]

Replaces this matrix by a given matrix m inverted. Fortunately we have to deal with a rotation matrix so we confidently may do a transposition instead of an expensive inversion.

const Matrix2x2 ml7::Matrix2x2::inverted

(

)

const [inline]

Copies this matrix and inverts it. Fortunately we have to deal with a rotation matrix so we confidently may do a transposition instead of an expensive inversion.

ml7::Matrix2x2::operator const float *const

(

)

const [inline]

ml7::Matrix2x2::operator float *const

(

)

[inline]

const bool ml7::Matrix2x2::operator!=

(

const Matrix2x2 &

m

)

const [inline]

Checks if a given matrix m and this have non-identical elements.

const Vector2 ml7::Matrix2x2::operator*

(

const Vector2 &

v

)

const [inline]

Returns a copy of a given vector v tranformed by this matrix.

const Matrix2x2 ml7::Matrix2x2::operator*

(

const Matrix2x2 &

m

)

const [inline]

Returns a copy of a given matrix m transformed by this.

const Matrix2x2 ml7::Matrix2x2::operator*

(

const float

s

)

const [inline]

Returns a copy of this matrix scaled by a given scalar s.

Matrix2x2& ml7::Matrix2x2::operator*=

(

const float

s

)

[inline]

Scales this matrix by a given scalar s.

Matrix2x2& ml7::Matrix2x2::operator*=

(

const Matrix2x2 &

m

)

[inline]

Transforms this matrix by a given matrix m. It results in an operation identical to m * this.

const Matrix2x2 ml7::Matrix2x2::operator+

(

const Matrix2x2 &

m

)

const [inline]

Returns a given matrix m added to this.

Matrix2x2& ml7::Matrix2x2::operator+=

(

const Matrix2x2 &

m

)

[inline]

Adds a given matrix m to this.

const Matrix2x2 ml7::Matrix2x2::operator-

(

)

const [inline]

Returns a copy of this matrix with the elements having signs flipped.

const Matrix2x2 ml7::Matrix2x2::operator-

(

const Matrix2x2 &

m

)

const [inline]

Returns a given matrix m subtracted from this.

Matrix2x2& ml7::Matrix2x2::operator-=

(

const Matrix2x2 &

m

)

[inline]

Subtracts a given matrix m from this.

const bool ml7::Matrix2x2::operator<

(

const Matrix2x2 &

m

)

const [inline]

Checks if the angle of the rotation represented by this matrix is less than that of a given matrix m.

const bool ml7::Matrix2x2::operator<=

(

const Matrix2x2 &

m

)

const [inline]

Checks if the angle of the rotation represented by this matrix is less than or equal to that of a given matrix m.

Matrix2x2& ml7::Matrix2x2::operator=

(

const Matrix2x2 &

m

)

[inline]

Copy assignment operator. Copies the elements of a given matrix m.

const bool ml7::Matrix2x2::operator==

(

const Matrix2x2 &

m

)

const [inline]

Checks if a given matrix m and this have identical elements.

const bool ml7::Matrix2x2::operator>

(

const Matrix2x2 &

m

)

const [inline]

Checks if the angle of the rotation represented by this matrix is greater than that of a given matrix m.

const bool ml7::Matrix2x2::operator>=

(

const Matrix2x2 &

m

)

const [inline]

Checks if the angle of the rotation represented by this matrix is greater than or equal to that of a given matrix m.

float& ml7::Matrix2x2::operator[]

(

unsigned

index

)

[inline]

Indexed component access.

const float ml7::Matrix2x2::operator[]

(

unsigned

index

)

const [inline]

Indexed component access.

Matrix2x2& ml7::Matrix2x2::rotation

(

const float

phi

)

[inline]

Forces this matrix to be a rotation matrix with a ccw-angle phi.

const Matrix2x2& ml7::Matrix2x2::set	(	const ml7::Vector2 &	x,
		const ml7::Vector2 &	y
	)			[inline]

Sets the column vectors of this matrix.

const Matrix2x2& ml7::Matrix2x2::set	(	unsigned	i,
		const Vector2 &	v
	)			[inline]

Sets the i-th (0-indexed) column vector of this matrix.

void ml7::Matrix2x2::swap

(

Matrix2x2 &

m

)

[inline]

Swap operation. Swaps the elements of a given matrix m with this.

const Vector2 ml7::Matrix2x2::trans

(

const Vector2 &

v

)

const

Returns a copy of a given vector v transformed by this matrix.

const Vector2 ml7::Matrix2x2::transinv

(

const Vector2 &

v

)

const

Returns a copy of a given vector v transformed by this matrix inverted.

Matrix2x2& ml7::Matrix2x2::transpose

(

const Matrix2x2 &

m

)

[inline]

Replaces this matrix by a given matrix m transposed.

Matrix2x2& ml7::Matrix2x2::transpose

(

)

[inline]

Transposes this matrix.

const Matrix2x2 ml7::Matrix2x2::transposed

(

)

const [inline]

Copies this matrix and transposes it.

---

Member Data Documentation

union { ... }

float ml7::Matrix2x2::_11

Element in the 1st row and 1st column.

float ml7::Matrix2x2::_12

Element in the 1st row and 2nd column.

float ml7::Matrix2x2::_21

Element in the 2nd row and 1st column.

float ml7::Matrix2x2::_22

Element in the 2nd row and 2nd column.

float ml7::Matrix2x2::a

Element in the 1st row and 1st column.

float ml7::Matrix2x2::b

Element in the 1st row and 2nd column.

float ml7::Matrix2x2::c

Element in the 2nd row and 1st column.

float ml7::Matrix2x2::d

Element in the 2nd row and 2nd column.

float ml7::Matrix2x2::data[4]

Array of the elements.

float ml7::Matrix2x2::m[2][2]

2d-array of the elements.

---

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

• Matrix2x2.h
• Matrix2x2.cpp