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 (ZeroType) noexcept
constexpr	Matrix (T val) noexcept
constexpr	Matrix (const T *array)
constexpr	Matrix (T e11, T e12, T e13, T e21, T e22, T e23, T e31, T e32, T e33) noexcept
	Constructor that takes all the elements. More...
const T *	getData () const noexcept
T *	getData () noexcept
T	operator() (std::size_t row, std::size_t col) const
T &	operator() (std::size_t row, std::size_t col)
constexpr void	zero () noexcept

Public Attributes
union gf::Matrix< T, 3, 3 >:: { ... }
union gf::Matrix< T, 3, 3 >:: { ... }
union gf::Matrix< T, 3, 3 >:: { ... }
union gf::Matrix< T, 3, 3 >:: { ... }
union gf::Matrix< T, 3, 3 >:: { ... }
union gf::Matrix< T, 3, 3 >:: { ... }
union gf::Matrix< T, 3, 3 >:: { ... }
union gf::Matrix< T, 3, 3 >:: { ... }
union gf::Matrix< T, 3, 3 >:: { ... }
T	xx
T	m11
T	xy
T	m12
T	xz
T	m13
T	yx
T	m21
T	yy
T	m22
T	yz
T	m23
T	zx
T	m31
T	zy
T	m32
T	zz
T	m33

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() [1/5]

template<typename T >

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

default

Default constructor.

Matrix() [2/5]

template<typename T >

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

inlineconstexprnoexcept

Matrix() [3/5]

template<typename T >

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

inlineexplicitconstexprnoexcept

Matrix() [4/5]

template<typename T >

constexpr gf::Matrix< T, 3, 3 >::Matrix ( const T *  array )

inlineexplicitconstexpr

Matrix() [5/5]

template<typename T >

constexpr gf::Matrix< T, 3, 3 >::Matrix ( T  e11, T  e12, T  e13, T  e21, T  e22, T  e23, T  e31, T  e32, T  e33  )

inlineconstexprnoexcept

Constructor that takes all the elements.

Parameters

e11	The element in the first row and first column
e12	The element in the first row and second column
e13	The element in the first row and third column
e21	The element in the second row and first column
e22	The element in the second row and second column
e23	The element in the second row and third column
e31	The element in the third row and first column
e32	The element in the third row and second column
e33	The element in the third row and third column

Member Function Documentation

getData() [1/2]

template<typename T >

const T * gf::Matrix< T, 3, 3 >::getData ( ) const

inlinenoexcept

getData() [2/2]

template<typename T >

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

inlinenoexcept

operator()() [1/2]

template<typename T >

T & gf::Matrix< T, 3, 3 >::operator() ( std::size_t  row, std::size_t  col  )

inline

operator()() [2/2]

template<typename T >

T gf::Matrix< T, 3, 3 >::operator() ( std::size_t  row, std::size_t  col  ) const

inline

zero()

template<typename T >

constexpr void gf::Matrix< T, 3, 3 >::zero ( )

inlineconstexprnoexcept

Member Data Documentation

union gf::Matrix< T, 3, 3 > { ... } gf::Matrix< T, 3, 3 >::@17

union gf::Matrix< T, 3, 3 > { ... } gf::Matrix< T, 3, 3 >::@19

union gf::Matrix< T, 3, 3 > { ... } gf::Matrix< T, 3, 3 >::@21

union gf::Matrix< T, 3, 3 > { ... } gf::Matrix< T, 3, 3 >::@23

union gf::Matrix< T, 3, 3 > { ... } gf::Matrix< T, 3, 3 >::@25

union gf::Matrix< T, 3, 3 > { ... } gf::Matrix< T, 3, 3 >::@27

union gf::Matrix< T, 3, 3 > { ... } gf::Matrix< T, 3, 3 >::@29

union gf::Matrix< T, 3, 3 > { ... } gf::Matrix< T, 3, 3 >::@31

union gf::Matrix< T, 3, 3 > { ... } gf::Matrix< T, 3, 3 >::@33

Cols

template<typename T >

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

staticconstexpr

The number of columns in the matrix.

m11

template<typename T >

T gf::Matrix< T, 3, 3 >::m11

m12

template<typename T >

T gf::Matrix< T, 3, 3 >::m12

m13

template<typename T >

T gf::Matrix< T, 3, 3 >::m13

m21

template<typename T >

T gf::Matrix< T, 3, 3 >::m21

m22

template<typename T >

T gf::Matrix< T, 3, 3 >::m22

m23

template<typename T >

T gf::Matrix< T, 3, 3 >::m23

m31

template<typename T >

T gf::Matrix< T, 3, 3 >::m31

m32

template<typename T >

T gf::Matrix< T, 3, 3 >::m32

m33

template<typename T >

T gf::Matrix< T, 3, 3 >::m33

Rows

template<typename T >

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

staticconstexpr

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