MR::Matrix4< T > Struct Template Reference

#include <MRMatrix4.h>

Public Types
using	ValueType = T
using	VectorType = Vector4<T>

Public Member Functions
constexpr	Matrix4 () noexcept=default
constexpr	Matrix4 (const Vector4< T > &x, const Vector4< T > &y, const Vector4< T > &z, const Vector4< T > &w)
	initializes matrix from 4 row-vectors
constexpr	Matrix4 (const Matrix3< T > &r, const Vector3< T > &t)
	construct from rotation matrix and translation vector
constexpr	Matrix4 (const AffineXf3< T > &xf) MR_REQUIRES_IF_SUPPORTED(std
template<typename U >
constexpr	Matrix4 (const Matrix4< U > &m)
constexpr const T &	operator() (int row, int col) const noexcept
	element access
constexpr T &	operator() (int row, int col) noexcept
constexpr const Vector4< T > &	operator[] (int row) const noexcept
	row access
constexpr Vector4< T > &	operator[] (int row) noexcept
constexpr Vector4< T >	col (int i) const noexcept
	column access
constexpr T	trace () const noexcept
	computes trace of the matrix
constexpr T	normSq () const noexcept
	compute sum of squared matrix elements
constexpr auto	norm () const noexcept
Matrix3< T >	submatrix3 (int i, int j) const noexcept
	computes submatrix of the matrix with excluded i-th row and j-th column
T	det () const noexcept
	computes determinant of the matrix
constexpr Matrix4< T >	inverse () const noexcept
	computes inverse matrix
constexpr Matrix4< T >	transposed () const noexcept
	computes transposed matrix
constexpr Matrix3< T >	getRotation () const noexcept
void	setRotation (const Matrix3< T > &rot) noexcept
constexpr Vector3< T >	getTranslation () const noexcept
void	setTranslation (const Vector3< T > &t) noexcept
constexpr T *	data ()
constexpr const T *	data () const
Matrix4 &	operator+= (const Matrix4< T > &b)
Matrix4 &	operator-= (const Matrix4< T > &b)
Matrix4 &	operator*= (T b)
Matrix4 &	operator/= (T b)
	operator AffineXf3< T > () const MR_REQUIRES_IF_SUPPORTED(std

Static Public Member Functions
static constexpr Matrix4	zero () noexcept
static constexpr Matrix4	identity () noexcept
static constexpr Matrix4	scale (T s) noexcept
	returns a matrix that scales uniformly

Public Attributes
Vector4< T >	x { 1, 0, 0, 0 }
	rows, identity matrix by default
Vector4< T >	y { 0, 1, 0, 0 }
Vector4< T >	z { 0, 0, 1, 0 }
Vector4< T >	w { 0, 0, 0, 1 }

Related Symbols
(Note that these are not member symbols.)
template<typename T >
Vector4< T >	operator* (const Matrix4< T > &a, const Vector4< T > &b)
	x = a * b
template<typename T >
T	dot (const Matrix4< T > &a, const Matrix4< T > &b)
	double-dot product: x = a : b
template<typename T >
Matrix4< T >	operator* (const Matrix4< T > &a, const Matrix4< T > &b)
	product of two matrices
template<typename T >
Matrix4< T >	outer (const Vector4< T > &a, const Vector4< T > &b)
	x = a * b^T

Detailed Description

template<typename T>
struct MR::Matrix4< T >

arbitrary 4x4 matrix

Member Typedef Documentation

ValueType

template<typename T >

using MR::Matrix4< T >::ValueType = T

VectorType

template<typename T >

using MR::Matrix4< T >::VectorType = Vector4<T>

Constructor & Destructor Documentation

Matrix4() [1/5]

template<typename T >

MR::Matrix4< T >::Matrix4 ( )

constexprdefaultnoexcept

Matrix4() [2/5]

template<typename T >

MR::Matrix4< T >::Matrix4 ( const Vector4< T > & x, const Vector4< T > & y, const Vector4< T > & z, const Vector4< T > & w )

inlineconstexpr

initializes matrix from 4 row-vectors

Matrix4() [3/5]

template<typename T >

MR::Matrix4< T >::Matrix4 ( const Matrix3< T > & r, const Vector3< T > & t )

inlineconstexpr

construct from rotation matrix and translation vector

Matrix4() [4/5]

template<typename T >

MR::Matrix4< T >::Matrix4 ( const AffineXf3< T > & xf )

inlineconstexpr

Matrix4() [5/5]

template<typename T >

template<typename U >

MR::Matrix4< T >::Matrix4 ( const Matrix4< U > & m )

inlineexplicitconstexpr

Member Function Documentation

col()

template<typename T >

Vector4< T > MR::Matrix4< T >::col ( int i ) const

inlineconstexprnoexcept

column access

data() [1/2]

template<typename T >

T * MR::Matrix4< T >::data ( )

inlineconstexpr

data() [2/2]

template<typename T >

const T * MR::Matrix4< T >::data ( ) const

inlineconstexpr

det()

template<typename T >

T MR::Matrix4< T >::det ( ) const

noexcept

computes determinant of the matrix

getRotation()

template<typename T >

Matrix3< T > MR::Matrix4< T >::getRotation ( ) const

constexprnoexcept

getTranslation()

template<typename T >

Vector3< T > MR::Matrix4< T >::getTranslation ( ) const

constexprnoexcept

identity()

template<typename T >

static constexpr Matrix4 MR::Matrix4< T >::identity ( )

inlinestaticconstexprnoexcept

inverse()

template<typename T >

Matrix4< T > MR::Matrix4< T >::inverse ( ) const

constexprnoexcept

computes inverse matrix

norm()

template<typename T >

auto MR::Matrix4< T >::norm ( ) const

inlineconstexprnoexcept

normSq()

template<typename T >

T MR::Matrix4< T >::normSq ( ) const

inlineconstexprnoexcept

compute sum of squared matrix elements

operator AffineXf3< T >()

template<typename T >

MR::Matrix4< T >::operator AffineXf3< T > ( ) const

inline

operator()() [1/2]

template<typename T >

const T & MR::Matrix4< T >::operator() ( int row, int col ) const

inlineconstexprnoexcept

element access

operator()() [2/2]

template<typename T >

T & MR::Matrix4< T >::operator() ( int row, int col )

inlineconstexprnoexcept

operator*=()

template<typename T >

Matrix4 & MR::Matrix4< T >::operator*= ( T b )

inline

operator+=()

template<typename T >

Matrix4 & MR::Matrix4< T >::operator+= ( const Matrix4< T > & b )

inline

operator-=()

template<typename T >

Matrix4 & MR::Matrix4< T >::operator-= ( const Matrix4< T > & b )

inline

operator/=()

template<typename T >

Matrix4 & MR::Matrix4< T >::operator/= ( T b )

inline

operator[]() [1/2]

template<typename T >

const Vector4< T > & MR::Matrix4< T >::operator[] ( int row ) const

inlineconstexprnoexcept

row access

operator[]() [2/2]

template<typename T >

Vector4< T > & MR::Matrix4< T >::operator[] ( int row )

inlineconstexprnoexcept

scale()

template<typename T >

static constexpr Matrix4 MR::Matrix4< T >::scale ( T s )

inlinestaticconstexprnoexcept

returns a matrix that scales uniformly

setRotation()

template<typename T >

void MR::Matrix4< T >::setRotation ( const Matrix3< T > & rot )

noexcept

setTranslation()

template<typename T >

void MR::Matrix4< T >::setTranslation ( const Vector3< T > & t )

noexcept

submatrix3()

template<typename T >

Matrix3< T > MR::Matrix4< T >::submatrix3 ( int i, int j ) const

noexcept

computes submatrix of the matrix with excluded i-th row and j-th column

trace()

template<typename T >

T MR::Matrix4< T >::trace ( ) const

inlineconstexprnoexcept

computes trace of the matrix

transposed()

template<typename T >

Matrix4< T > MR::Matrix4< T >::transposed ( ) const

constexprnoexcept

computes transposed matrix

zero()

template<typename T >

static constexpr Matrix4 MR::Matrix4< T >::zero ( )

inlinestaticconstexprnoexcept

Friends And Related Symbol Documentation

dot()

template<typename T >

T dot ( const Matrix4< T > & a, const Matrix4< T > & b )

related

double-dot product: x = a : b

operator*() [1/2]

template<typename T >

Matrix4< T > operator* ( const Matrix4< T > & a, const Matrix4< T > & b )

related

product of two matrices

operator*() [2/2]

template<typename T >

Vector4< T > operator* ( const Matrix4< T > & a, const Vector4< T > & b )

related

x = a * b

outer()

template<typename T >

Matrix4< T > outer ( const Vector4< T > & a, const Vector4< T > & b )

related

x = a * b^T

Member Data Documentation

w

template<typename T >

Vector4<T> MR::Matrix4< T >::w { 0, 0, 0, 1 }

x

template<typename T >

Vector4<T> MR::Matrix4< T >::x { 1, 0, 0, 0 }

rows, identity matrix by default

y

template<typename T >

Vector4<T> MR::Matrix4< T >::y { 0, 1, 0, 0 }

z

template<typename T >

Vector4<T> MR::Matrix4< T >::z { 0, 0, 1, 0 }

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

• MRMatrix4.h