MR::Matrix4< T > Struct Template Reference

#include <MRMatrix4.h>

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

Public Member Functions
constexpr	Matrix4 () noexcept
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
template<MR_SAME_TYPE_TEMPLATE_PARAM(T, TT) >
constexpr	Matrix4 (const AffineXf3< TT > &xf) MR_REQUIRES_IF_SUPPORTED(std
template<typename U >
	MR_REQUIRES_IF_SUPPORTED (!std::is_same_v< T, U >) const expr explicit 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 MR_REQUIRES_IF_SUPPORTED(!std constexpr Matrix4< T >	transposed () const noexcept
	computes inverse 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
template<MR_SAME_TYPE_TEMPLATE_PARAM(T, TT) >
	operator AffineXf3< TT > () 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 }

Friends
Vector3< T > operator()(const Vector3< T > &b) const MR_REQUIRES_IF_SUPPORTED(!std friend constexpr bool	operator== (const Matrix4< T > &a, const Matrix4< T > &b)
constexpr bool	operator!= (const Matrix4< T > &a, const Matrix4< T > &b)
constexpr auto	operator+ (const Matrix4< T > &a, const Matrix4< T > &b) -> Matrix4< decltype(std::declval< T >()+std::declval< T >())>
	NOTE: We use std::declval() in the operators below because libclang 18 in our binding generator is bugged and chokes on decltyping a.x and such. TODO fix this when we update libclang.
constexpr auto	operator- (const Matrix4< T > &a, const Matrix4< T > &b) -> Matrix4< decltype(std::declval< T >() - std::declval< T >())>
constexpr auto	operator* (T a, const Matrix4< T > &b) -> Matrix4< decltype(std::declval< T >() *std::declval< T >())>
constexpr auto	operator* (const Matrix4< T > &b, T a) -> Matrix4< decltype(std::declval< T >() *std::declval< T >())>
constexpr auto	operator/ (Matrix4< T > b, T a) -> Matrix4< decltype(std::declval< T >()/std::declval< T >())>
constexpr Matrix4< T > &	operator+= (Matrix4< T > &a, const Matrix4< T > &b)
constexpr Matrix4< T > &	operator-= (Matrix4< T > &a, const Matrix4< T > &b)
constexpr Matrix4< T > &	operator*= (Matrix4< T > &a, T b)
constexpr Matrix4< T > &	operator/= (Matrix4< T > &a, T b)
constexpr auto	operator* (const Matrix4< T > &a, const Vector4< T > &b) -> Vector4< decltype(dot(std::declval< Vector4< T > >(), std::declval< Vector4< T > >()))>
	x = a * b
constexpr auto	operator* (const Matrix4< T > &a, const Matrix4< T > &b) -> Matrix4< decltype(dot(std::declval< Vector4< T > >(), std::declval< Vector4< T > >()))>
	product of two matrices
std::ostream &	operator<< (std::ostream &s, const Matrix4 &mat)
std::istream &	operator>> (std::istream &s, Matrix4 &mat)

Related Symbols
(Note that these are not member symbols.)
template<typename T >
auto	dot (const Matrix4< T > &a, const Matrix4< T > &b) -> decltype(dot(a.x, b.x))
	double-dot product: x = a : b
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

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

• MRMatrix4.h