Matrix representation of the affine transformation. More...

#include <jmCommon.h>

Public Member Functions
	AffineMat3 ()
	Constructs an identity matrix. More...

	AffineMat3 (const Vec2< T > &_i, const Vec2< T > &_j, const Vec2< T > &_t)
	Constructs a matrix from the given row vectors _i, _j and _t. More...

	AffineMat3 (T ix, T iy, T jx, T jy, T tx, T ty)
	Constructs a matrix from the given row vector components ix, iy, jx, jy, tx and ty. More...

AffineMat3< T >	Invert () const
	Returns a matrix formed by inverting this matrix. More...

Vec2< T >	operator* (const Vec2< T > &v) const
	Returns a matrix formed by multiplying this matrix with the given vector v. More...

AffineMat3< T >	operator* (const AffineMat3< T > &m) const
	Returns a matrix formed by multiplying this matrix with the given matrix m. More...

Vec2< T >	Transform (const Vec2< T > &v) const
	Returns a vector formed by multiplying the given vector v with this matrix. More...

Vec2< T >	Transform (T x, T y) const
	Returns a vector formed by multiplying the given coordinate x,y with this matrix. More...

AffineMat3< T >	Transform (float ix, float iy, float jx, float jy, float tx, float ty) const
	Returns a matrix formed by multiplying this matrix with the given matrix components ix, iy, jx, jy, tx and ty. More...

AffineMat3< T >	Translate (T tx, T ty) const
	Returns a matrix formed by translating this matrix by the given vector coordinates tx and ty. More...

AffineMat3< T >	Translate (const Vec2< T > &tv) const
	Returns a matrix formed by translating this matrix by the given vector tv. More...

AffineMat3< T >	Rotate (double rz) const
	Returns a matrix formed by rotating this matrix by the given angle rz; the angle is in radians. More...

AffineMat3< T >	Scale (T sx, T sy) const
	Returns a matrix formed by scaling this matrix by the given vector components sx and sy. More...

AffineMat3< T >	Scale (const Vec2< T > &sv) const
	Returns a matrix formed by scaling this matrix by the given vector sv. More...

Static Public Member Functions
static AffineMat3< T >	Translation (T tx, T ty)
	Creates a matrix representing a translation by the given vector coordinates tx and ty. More...

static AffineMat3< T >	Translation (const Vec2< T > &tv)
	Creates a matrix representing a translation by the given vector tv. More...

static AffineMat3< T >	Rotation (double rz)
	Creates a matrix representing a rotation by the given angle rz; the angle is in radians. More...

static AffineMat3< T >	Scaling (T sx, T sy)
	Creates a matrix representing a scaling by the given vector components sx and sy. More...

static AffineMat3< T >	Scaling (const Vec2< T > &sv)
	Creates a matrix representing a scaling by the given vector sv. More...

static AffineMat3< T >	Ortho (T left, T right, T bottom, T top)
	Creates a matrix representing an orthographic projection. More...

Public Attributes
Vec2< T >	i
	The first row of the matrix. More...

Vec2< T >	j
	The second row of the matrix. More...

Vec2< T >	t
	The third row of the matrix. More...

Detailed Description

template<typename T>
struct jugimap::AffineMat3< T >

Matrix representation of the affine transformation.

Constructor & Destructor Documentation

◆ AffineMat3() [1/3]

AffineMat3 ( )

inline

Constructs an identity matrix.

◆ AffineMat3() [2/3]

AffineMat3	(	const Vec2< T > &	_i,
		const Vec2< T > &	_j,
		const Vec2< T > &	_t
	)

inline

Constructs a matrix from the given row vectors **_i**, **_j** and **_t**.

◆ AffineMat3() [3/3]

AffineMat3	(	T	ix,
		T	iy,
		T	jx,
		T	jy,
		T	tx,
		T	ty
	)

inline

Constructs a matrix from the given row vector components ix, iy, jx, jy, tx and ty.

Member Function Documentation

◆ Invert()

AffineMat3<T> Invert ( ) const

inline

Returns a matrix formed by inverting this matrix.

◆ operator*() [1/2]

Vec2<T> operator* ( const Vec2< T > & v ) const

inline

Returns a matrix formed by multiplying this matrix with the given vector v.

◆ operator*() [2/2]

AffineMat3<T> operator* ( const AffineMat3< T > & m ) const

inline

Returns a matrix formed by multiplying this matrix with the given matrix m.

◆ Transform() [1/3]

Vec2<T> Transform ( const Vec2< T > & v ) const

inline

Returns a vector formed by multiplying the given vector v with this matrix.

◆ Transform() [2/3]

Vec2<T> Transform	(	T	x,
		T	y
	)		const

inline

Returns a vector formed by multiplying the given coordinate x,y with this matrix.

◆ Transform() [3/3]

AffineMat3<T> Transform	(	float	ix,
		float	iy,
		float	jx,
		float	jy,
		float	tx,
		float	ty
	)		const

inline

Returns a matrix formed by multiplying this matrix with the given matrix components ix, iy, jx, jy, tx and ty.

◆ Translate() [1/2]

AffineMat3<T> Translate	(	T	tx,
		T	ty
	)		const

inline

Returns a matrix formed by translating this matrix by the given vector coordinates tx and ty.

◆ Translate() [2/2]

AffineMat3<T> Translate ( const Vec2< T > & tv ) const

inline

Returns a matrix formed by translating this matrix by the given vector tv.

◆ Rotate()

AffineMat3<T> Rotate ( double rz ) const

inline

Returns a matrix formed by rotating this matrix by the given angle rz; the angle is in radians.

◆ Scale() [1/2]

AffineMat3<T> Scale	(	T	sx,
		T	sy
	)		const

inline

Returns a matrix formed by scaling this matrix by the given vector components sx and sy.

◆ Scale() [2/2]

AffineMat3<T> Scale ( const Vec2< T > & sv ) const

inline

Returns a matrix formed by scaling this matrix by the given vector sv.

◆ Translation() [1/2]

static AffineMat3<T> Translation	(	T	tx,
		T	ty
	)

inlinestatic

Creates a matrix representing a translation by the given vector coordinates tx and ty.

◆ Translation() [2/2]

static AffineMat3<T> Translation ( const Vec2< T > & tv )

inlinestatic

Creates a matrix representing a translation by the given vector tv.

◆ Rotation()

static AffineMat3<T> Rotation ( double rz )

inlinestatic

Creates a matrix representing a rotation by the given angle rz; the angle is in radians.

◆ Scaling() [1/2]

static AffineMat3<T> Scaling	(	T	sx,
		T	sy
	)

inlinestatic

Creates a matrix representing a scaling by the given vector components sx and sy.

◆ Scaling() [2/2]

static AffineMat3<T> Scaling ( const Vec2< T > & sv )

inlinestatic

Creates a matrix representing a scaling by the given vector sv.

◆ Ortho()

static AffineMat3<T> Ortho	(	T	left,
		T	right,
		T	bottom,
		T	top
	)

inlinestatic

Creates a matrix representing an orthographic projection.

Member Data Documentation

◆ i

Vec2<T> i

The first row of the matrix.

◆ j

Vec2<T> j

The second row of the matrix.

◆ t

Vec2<T> t

The third row of the matrix.

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

C:/Development/JugiMapProject/JugiMapFRM/framework_c++/jugimap/jmCommon.h

Public Member Functions

Static Public Member Functions

Public Attributes

Detailed Description

template<typename T> struct jugimap::AffineMat3< T >

Constructor & Destructor Documentation

◆ AffineMat3() [1/3]

◆ AffineMat3() [2/3]

◆ AffineMat3() [3/3]

Member Function Documentation

◆ Invert()

◆ operator*() [1/2]

◆ operator*() [2/2]

◆ Transform() [1/3]

◆ Transform() [2/3]

◆ Transform() [3/3]

◆ Translate() [1/2]

◆ Translate() [2/2]

◆ Rotate()

◆ Scale() [1/2]

◆ Scale() [2/2]

◆ Translation() [1/2]

◆ Translation() [2/2]

◆ Rotation()

◆ Scaling() [1/2]

◆ Scaling() [2/2]

◆ Ortho()

Member Data Documentation

◆ i

◆ j

◆ t

template<typename T>
struct jugimap::AffineMat3< T >