gf::Matrix< T, 3, 3 > Struct Template Reference

A 3x3 matrix. More...

#include <gf/Matrix.h>

Public Types
using	value_type = T
	The value type of the elements of the matrix. More...

Public Member Functions
	Matrix ()=default
	Default constructor. More...
constexpr	Matrix (T xx, T xy, T xz, T yx, T yy, T yz, T zx, T zy, T zz)
	Constructor that takes all the elements. More...

Public Attributes
union gf::Matrix< T, 3, 3 >:: { ... }
T	grid [3][3]
	Grid representation. More...
T	data [9]
	Array representation. More...
T	xx
T	xy
T	xz
T	yx
T	yy
T	yz
T	zx
T	zy
T	zz

Static Public Attributes
static constexpr std::size_t	Rows = 3
	The number of rows in the matrix. More...
static constexpr std::size_t	Cols = 3
	The number of columns in the matrix. More...

Detailed Description

template<typename T>
struct gf::Matrix< T, 3, 3 >

A 3x3 matrix.

This specialization of gf::Matrix handles affine transformation of 2D vectors (using homogeneous coordinates).

Each element of the matrix can be accessed through a name with a double letter indicating the column and row of the element (e.g. xy indicates the first row and second column).

A common typedef is defined:

• gf::Matrix3f with float as T

See also

transform, translate, translation, rotate, rotation, scale, scaling

Member Typedef Documentation

value_type

template<typename T >

using gf::Matrix< T, 3, 3 >::value_type = T

The value type of the elements of the matrix.

Constructor & Destructor Documentation

Matrix() [1/2]

template<typename T >

gf::Matrix< T, 3, 3 >::Matrix ( )

default

Default constructor.

Matrix() [2/2]

template<typename T >

constexpr gf::Matrix< T, 3, 3 >::Matrix ( T  xx, T  xy, T  xz, T  yx, T  yy, T  yz, T  zx, T  zy, T  zz  )

inline

Constructor that takes all the elements.

Parameters

xx	The element in the first row and first column
xy	The element in the first row and second column
xz	The element in the first row and third column
yx	The element in the second row and first column
yy	The element in the second row and second column
yz	The element in the second row and third column
zx	The element in the third row and first column
zy	The element in the third row and second column
zz	The element in the third row and third column

Member Data Documentation

@9

union { ... }

An anonymous union to handle the various representations

Cols

template<typename T >

constexpr std::size_t gf::Matrix< T, 3, 3 >::Cols = 3

static

The number of columns in the matrix.

data

template<typename T >

T gf::Matrix< T, 3, 3 >::data[9]

Array representation.

grid

template<typename T >

T gf::Matrix< T, 3, 3 >::grid[3][3]

Grid representation.

Rows

template<typename T >

constexpr std::size_t gf::Matrix< T, 3, 3 >::Rows = 3

static

The number of rows in the matrix.

xx

template<typename T >

T gf::Matrix< T, 3, 3 >::xx

xy

template<typename T >

T gf::Matrix< T, 3, 3 >::xy

xz

template<typename T >

T gf::Matrix< T, 3, 3 >::xz

yx

template<typename T >

T gf::Matrix< T, 3, 3 >::yx

yy

template<typename T >

T gf::Matrix< T, 3, 3 >::yy

yz

template<typename T >

T gf::Matrix< T, 3, 3 >::yz

zx

template<typename T >

T gf::Matrix< T, 3, 3 >::zx

zy

template<typename T >

T gf::Matrix< T, 3, 3 >::zy

zz

template<typename T >

T gf::Matrix< T, 3, 3 >::zz