MR::Matrix2< T > Struct Template Reference

#include <MRMatrix2.h>

Public Types
using	ValueType = T
using	VectorType = Vector2<T>

Public Member Functions
constexpr	Matrix2 () noexcept
constexpr	Matrix2 (const Vector2< T > &x, const Vector2< T > &y)
	initializes matrix from its 2 rows
template<typename U >
constexpr	Matrix2 (const Matrix2< U > &m)
constexpr const Vector2< T > &	operator[] (int row) const noexcept
	row access
constexpr Vector2< T > &	operator[] (int row) noexcept
constexpr Vector2< 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
constexpr T	det () const noexcept
	computes determinant of the matrix
constexpr Matrix2< T > inverse() const noexcept MR_REQUIRES_IF_SUPPORTED(std constexpr Matrix2< T >	transposed () const noexcept
	computes inverse matrix

Static Public Member Functions
static constexpr Matrix2	zero () noexcept
static constexpr Matrix2	identity () noexcept
static constexpr Matrix2	scale (T s) noexcept
	returns a matrix that scales uniformly
static constexpr Matrix2	scale (T sx, T sy) noexcept
	returns a matrix that has its own scale along each axis
static constexpr Matrix2	scale (const Vector2< T > &s) noexcept
static constexpr Matrix2	fromColumns (const Vector2< T > &x, const Vector2< T > &y) noexcept

Public Attributes
Vector2< T >	x { 1, 0 }
	rows, identity matrix by default
Vector2< T >	y { 0, 1 }

Static Public Attributes
static constexpr Matrix2 static rotation(T angle) noexcept MR_REQUIRES_IF_SUPPORTED(std constexpr Matrix2 static rotation(const Vector2< T > &from, const Vector2< T > &to) noexcept MR_REQUIRES_IF_SUPPORTED(std constexpr Matrix	fromRows )(const Vector2< T > &x, const Vector2< T > &y) noexcept
	creates matrix representing rotation around origin on given angle

Friends
constexpr bool	operator== (const Matrix2< T > &a, const Matrix2< T > &b)
constexpr bool	operator!= (const Matrix2< T > &a, const Matrix2< T > &b)
constexpr auto	operator+ (const Matrix2< T > &a, const Matrix2< T > &b) -> Matrix2< 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 Matrix2< T > &a, const Matrix2< T > &b) -> Matrix2< decltype(std::declval< T >() - std::declval< T >())>
constexpr auto	operator* (T a, const Matrix2< T > &b) -> Matrix2< decltype(std::declval< T >() *std::declval< T >())>
constexpr auto	operator* (const Matrix2< T > &b, T a) -> Matrix2< decltype(std::declval< T >() *std::declval< T >())>
constexpr auto	operator/ (Matrix2< T > b, T a) -> Matrix2< decltype(std::declval< T >()/std::declval< T >())>
constexpr Matrix2< T > &	operator+= (Matrix2< T > &a, const Matrix2< T > &b)
constexpr Matrix2< T > &	operator-= (Matrix2< T > &a, const Matrix2< T > &b)
constexpr Matrix2< T > &	operator*= (Matrix2< T > &a, T b)
constexpr Matrix2< T > &	operator/= (Matrix2< T > &a, T b)
constexpr auto	operator* (const Matrix2< T > &a, const Vector2< T > &b) -> Vector2< decltype(dot(std::declval< Vector2< T > >(), std::declval< Vector2< T > >()))>
	x = a * b
constexpr auto	operator* (const Matrix2< T > &a, const Matrix2< T > &b) -> Matrix2< decltype(dot(std::declval< Vector2< T > >(), std::declval< Vector2< T > >()))>
	product of two matrices
std::ostream &	operator<< (std::ostream &s, const Matrix2 &mat)
std::istream &	operator>> (std::istream &s, Matrix2 &mat)

Related Symbols
(Note that these are not member symbols.)
template<typename T >
auto	dot (const Matrix2< T > &a, const Matrix2< T > &b) -> decltype(dot(a.x, b.x))
	double-dot product: x = a : b
template<typename T >
Matrix2< T >	outer (const Vector2< T > &a, const Vector2< T > &b)
	x = a * b^T

Detailed Description

template<typename T>
struct MR::Matrix2< T >

arbitrary 2x2 matrix

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

• MRMatrix2.h