gf::Matrix< T, 4, 4 > Struct Template Reference

A 4x4 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
constexpr	Matrix (T xx, T xy, T xz, T xw, T yx, T yy, T yz, T yw, T zx, T zy, T zz, T zw, T wx, T wy, T wz, T ww)
	Constructor that takes all the elements. More...

Public Attributes
union gf::Matrix< T, 4, 4 >:: { ... }
T	grid [4][4]
	Grid representation. More...
T	data [16]
	Array representation. More...
T	xx
T	xy
T	xz
T	xw
T	yx
T	yy
T	yz
T	yw
T	zx
T	zy
T	zz
T	zw
T	wx
T	wy
T	wz
T	ww

Static Public Attributes
static constexpr std::size_t	Rows = 4
	The number of rows in the matrix. More...
static constexpr std::size_t	Cols = 4
	The number of columns in the matrix. More...

Detailed Description

template<typename T>
struct gf::Matrix< T, 4, 4 >

A 4x4 matrix.

This specialization of gf::Matrix handles affine transformation of 3D 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::Matrix4f with float as T

Member Typedef Documentation

template<typename T >

using gf::Matrix< T, 4, 4 >::value_type = T

The value type of the elements of the matrix.

Constructor & Destructor Documentation

template<typename T >

constexpr gf::Matrix< T, 4, 4 >::Matrix ( T  xx, T  xy, T  xz, T  xw, T  yx, T  yy, T  yz, T  yw, T  zx, T  zy, T  zz, T  zw, T  wx, T  wy, T  wz, T  ww  )

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
xw	The element in the first row and fourth 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
yw	The element in the second row and fourth 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
zw	The element in the third row and fourth column
wx	The element in the fourth row and first column
wy	The element in the fourth row and second column
wz	The element in the fourth row and third column
ww	The element in the fourth row and fourth column

Member Data Documentation

union { ... }

An anonymous union to handle the various representations

template<typename T >

constexpr std::size_t gf::Matrix< T, 4, 4 >::Cols = 4

static

The number of columns in the matrix.

template<typename T >

T gf::Matrix< T, 4, 4 >::data[16]

Array representation.

template<typename T >

T gf::Matrix< T, 4, 4 >::grid[4][4]

Grid representation.

template<typename T >

constexpr std::size_t gf::Matrix< T, 4, 4 >::Rows = 4

static

The number of rows in the matrix.

template<typename T >

T gf::Matrix< T, 4, 4 >::ww

template<typename T >

T gf::Matrix< T, 4, 4 >::wx

template<typename T >

T gf::Matrix< T, 4, 4 >::wy

template<typename T >

T gf::Matrix< T, 4, 4 >::wz

template<typename T >

T gf::Matrix< T, 4, 4 >::xw

template<typename T >

T gf::Matrix< T, 4, 4 >::xx

template<typename T >

T gf::Matrix< T, 4, 4 >::xy

template<typename T >

T gf::Matrix< T, 4, 4 >::xz

template<typename T >

T gf::Matrix< T, 4, 4 >::yw

template<typename T >

T gf::Matrix< T, 4, 4 >::yx

template<typename T >

T gf::Matrix< T, 4, 4 >::yy

template<typename T >

T gf::Matrix< T, 4, 4 >::yz

template<typename T >

T gf::Matrix< T, 4, 4 >::zw

template<typename T >

T gf::Matrix< T, 4, 4 >::zx

template<typename T >

T gf::Matrix< T, 4, 4 >::zy

template<typename T >

T gf::Matrix< T, 4, 4 >::zz