gf::Matrix< T, 2, 2 > Struct Template Reference

A 2x2 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 yx, T yy)
	Constructor that takes all the elements. More...

Public Attributes
union gf::Matrix< T, 2, 2 >:: { ... }
T	grid [2][2]
	Grid representation. More...
T	data [4]
	Array representation. More...
T	xx
T	xy
T	yx
T	yy

Static Public Attributes
static constexpr std::size_t	Rows = 2
	The number of rows in the matrix. More...
static constexpr std::size_t	Cols = 2
	The number of columns in the matrix. More...

Detailed Description

template<typename T>
struct gf::Matrix< T, 2, 2 >

A 2x2 matrix.

This specialization of gf::Matrix handles linear transformation of 2D vectors. As translation is not a linear transformation but an affine transformation, this specialization is not used in the library. Instead use a gf::Matrix<T, 3, 3>. It is provided for convinience.

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::Matrix2f with float as T

Member Typedef Documentation

template<typename T >

using gf::Matrix< T, 2, 2 >::value_type = T

The value type of the elements of the matrix.

Constructor & Destructor Documentation

template<typename T >

gf::Matrix< T, 2, 2 >::Matrix ( )

default

Default constructor.

template<typename T >

constexpr gf::Matrix< T, 2, 2 >::Matrix ( T  xx, T  xy, T  yx, T  yy  )

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
yx	The element in the second row and first column
yy	The element in the second row and second column

Member Data Documentation

union { ... }

An anonymous union to handle the various representations

template<typename T >

constexpr std::size_t gf::Matrix< T, 2, 2 >::Cols = 2

static

The number of columns in the matrix.

template<typename T >

T gf::Matrix< T, 2, 2 >::data[4]

Array representation.

template<typename T >

T gf::Matrix< T, 2, 2 >::grid[2][2]

Grid representation.

template<typename T >

constexpr std::size_t gf::Matrix< T, 2, 2 >::Rows = 2

static

The number of rows in the matrix.

template<typename T >

T gf::Matrix< T, 2, 2 >::xx

template<typename T >

T gf::Matrix< T, 2, 2 >::xy

template<typename T >

T gf::Matrix< T, 2, 2 >::yx

template<typename T >

T gf::Matrix< T, 2, 2 >::yy