Matrix3_< T > Class Template Reference

Detailed Description

template<class T>
class asl::Matrix3_< T >

A Matrix3 is a 3x3 matrix useful for representing affine transformations in 2D space.

Matrix3 translation = Matrix3::translate(10, 4);
Matrix3 rotation = Matrix3::rotate(PI/3) * Matrix3::scale(0.5);
Vec2 v = translation * rotation * Vec2(x, y);

#include <Matrix3.h>

Public Member Functions
int	rows () const
	Returns the nubmer of rows of this matrix (3)
int	cols () const
	Returns the nubmer of columns of this matrix (3)
T	trace () const
	Returns the trace of this matrix.
	Matrix3_ (T a00, T a01, T a02, T a10, T a11, T a12, T a20=0, T a21=0, T a22=1)
	Constructs a 3x3 matrix given its elements (by rows).
	Matrix3_ (const T *m, bool colmajor=false)
	Constructs a matrix from elements pointed by m, row-major (default) or column-major.
template<class T2 >
Matrix3_< T2 >	with () const
	Returns a copy of this matrix with elements converted to the given type.
Matrix3_	transposed () const
	Returns this matrix transposed.
T &	operator() (int i, int j)
	Returns the element at row i, column j.
Vec2_< T >	operator* (const Vec2_< T > &v) const
	Returns vector v left-multiplied by this matrix (only two components, to apply an affine transform).
Vec3_< T >	operator* (const Vec3_< T > &v) const
	Returns vector v transformed by this affine transform.
Vec2_< T >	operator^ (const Vec2_< T > &v) const
	Returns vector v transformed by this projective transform.
Matrix3_	operator* (T t) const
	Returns this matrix multiplied by scalar t.
Matrix3_	operator+ (const Matrix3_ &B) const
	Returns the sum of this matrix and B.
Matrix3_	operator* (const Matrix3_ &B) const
	Returns this matrix multiplied by matrix B.
Vec2_< T >	column2 (int i) const
	Returns the i-th column's top 2 elements as a Vec2.
Vec3_< T >	column (int i) const
	Returns the i-th column as a Vec3.
Vec2_< T >	translation () const
	Returns the translation part of this matrix (the last column) as a Vec2.
Matrix3_ &	setTranslation (const Vec2_< T > &t)
	Sets the translation part of this matrix (the last column)
T	rotation () const
	Returns the rotation part of this matrix (assuming there is no skew)
Matrix3_	inverse () const
	Returns the inverse of this matrix.
T	det () const
	Returns the determinant of this matrix.
T	normSq () const
	Returns the matrix Frobenius norm squared.
T	norm () const
	Returns the matrix Frobenius norm.

Static Public Member Functions
static Matrix3_	identity ()
	Returns the 3x3 identity matrix.
static Matrix3_	rotate (T t)
	Returns a 2D rotation matrix for angle t.
static Matrix3_	translate (const Vec2_< T > &t)
	Returns a 2D translation matrix for vector t.
static Matrix3_	scale (T t)
	Returns a 2D scale matrix for factor t.

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

• Matrix3.h