#include <MRMatrix2.h>

Public Types
using	ValueType = T

using	VectorType = Vector2<T>

Public Member Functions
constexpr	Matrix2 () noexcept=default

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

Matrix2 &	operator+= (const Matrix2< T > &b)

Matrix2 &	operator-= (const Matrix2< T > &b)

Matrix2 &	operator*= (T b)

Matrix2 &	operator/= (T b)

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

Related Symbols
(Note that these are not member symbols.)

template<typename T >
Vector2< T >	operator* (const Matrix2< T > &a, const Vector2< T > &b)
	x = a * b

template<typename T >
T	dot (const Matrix2< T > &a, const Matrix2< T > &b)
	double-dot product: x = a : b

template<typename T >
Matrix2< T >	operator* (const Matrix2< T > &a, const Matrix2< T > &b)
	product of two matrices

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

Member Typedef Documentation

◆ ValueType

template<typename T >

using MR::Matrix2< T >::ValueType = T

◆ VectorType

template<typename T >

using MR::Matrix2< T >::VectorType = Vector2<T>

Constructor & Destructor Documentation

◆ Matrix2() [1/3]

template<typename T >

MR::Matrix2< T >::Matrix2 ( )

constexprdefaultnoexcept

◆ Matrix2() [2/3]

template<typename T >

MR::Matrix2< T >::Matrix2	(	const Vector2< T > &	x,
		const Vector2< T > &	y )

inlineconstexpr

initializes matrix from its 2 rows

◆ Matrix2() [3/3]

template<typename T >

template<typename U >

MR::Matrix2< T >::Matrix2 ( const Matrix2< U > & m )

inlineexplicitconstexpr

Member Function Documentation

◆ col()

template<typename T >

Vector2< T > MR::Matrix2< T >::col ( int i ) const

inlineconstexprnoexcept

column access

◆ det()

template<typename T >

T MR::Matrix2< T >::det ( ) const

constexprnoexcept

computes determinant of the matrix

◆ fromColumns()

template<typename T >

static constexpr Matrix2 MR::Matrix2< T >::fromColumns	(	const Vector2< T > &	x,
		const Vector2< T > &	y )

inlinestaticconstexprnoexcept

constructs a matrix from its 2 columns; use this method to get the matrix that transforms basis vectors ( plusX, plusY ) into vectors ( x, y ) respectively

◆ identity()

template<typename T >

static constexpr Matrix2 MR::Matrix2< T >::identity ( )

inlinestaticconstexprnoexcept

◆ norm()

template<typename T >

auto MR::Matrix2< T >::norm ( ) const

inlineconstexprnoexcept

◆ normSq()

template<typename T >

T MR::Matrix2< T >::normSq ( ) const

inlineconstexprnoexcept

compute sum of squared matrix elements

◆ operator*=()

template<typename T >

Matrix2 & MR::Matrix2< T >::operator*= ( T b )

inline

◆ operator+=()

template<typename T >

Matrix2 & MR::Matrix2< T >::operator+= ( const Matrix2< T > & b )

inline

◆ operator-=()

template<typename T >

Matrix2 & MR::Matrix2< T >::operator-= ( const Matrix2< T > & b )

inline

◆ operator/=()

template<typename T >

Matrix2 & MR::Matrix2< T >::operator/= ( T b )

inline

◆ operator[]() [1/2]

template<typename T >

const Vector2< T > & MR::Matrix2< T >::operator[] ( int row ) const

inlineconstexprnoexcept

row access

◆ operator[]() [2/2]

template<typename T >

Vector2< T > & MR::Matrix2< T >::operator[] ( int row )

inlineconstexprnoexcept

◆ scale() [1/3]

template<typename T >

static constexpr Matrix2 MR::Matrix2< T >::scale ( const Vector2< T > & s )

inlinestaticconstexprnoexcept

◆ scale() [2/3]

template<typename T >

static constexpr Matrix2 MR::Matrix2< T >::scale ( T s )

inlinestaticconstexprnoexcept

returns a matrix that scales uniformly

◆ scale() [3/3]

template<typename T >

static constexpr Matrix2 MR::Matrix2< T >::scale	(	T	sx,
		T	sy )

inlinestaticconstexprnoexcept

returns a matrix that has its own scale along each axis

◆ trace()

template<typename T >

T MR::Matrix2< T >::trace ( ) const

inlineconstexprnoexcept

computes trace of the matrix

◆ transposed()

template<typename T >

Matrix2< T > inverse() const noexcept MR_REQUIRES_IF_SUPPORTED(std constexpr Matrix2< T > MR::Matrix2< T >::transposed ( ) const

constexprnoexcept

computes inverse matrix

computes transposed matrix

◆ zero()

template<typename T >

static constexpr Matrix2 MR::Matrix2< T >::zero ( )

inlinestaticconstexprnoexcept

Friends And Related Symbol Documentation

◆ dot()

template<typename T >

T dot	(	const Matrix2< T > &	a,
		const Matrix2< T > &	b )

◆ operator*() [1/2]

template<typename T >

Matrix2< T > operator*	(	const Matrix2< T > &	a,
		const Matrix2< T > &	b )

◆ operator*() [2/2]

template<typename T >

Vector2< T > operator*	(	const Matrix2< T > &	a,
		const Vector2< T > &	b )

◆ outer()

template<typename T >

Matrix2< T > outer	(	const Vector2< T > &	a,
		const Vector2< T > &	b )

Member Data Documentation

◆ fromRows

template<typename T >

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 MR::Matrix2< T >::fromRows) (const Vector2< T > &x, const Vector2< T > &y) noexcept

inlinestaticconstexprnoexcept

creates matrix representing rotation around origin on given angle

creates matrix representing rotation that after application to (from) makes (to) vector constructs a matrix from its 2 rows

◆ x

template<typename T >

Vector2<T> MR::Matrix2< T >::x { 1, 0 }

rows, identity matrix by default

◆ y

template<typename T >

Vector2<T> MR::Matrix2< T >::y { 0, 1 }

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

MRMatrix2.h

Public Types

Public Member Functions

Static Public Member Functions

Public Attributes

Static Public Attributes

Related Symbols

Detailed Description

Member Typedef Documentation

◆ ValueType

◆ VectorType

Constructor & Destructor Documentation

◆ Matrix2() [1/3]

◆ Matrix2() [2/3]

◆ Matrix2() [3/3]

Member Function Documentation

◆ col()

◆ det()

◆ fromColumns()

◆ identity()

◆ norm()

◆ normSq()

◆ operator*=()

◆ operator+=()

◆ operator-=()

◆ operator/=()

◆ operator[]() [1/2]

◆ operator[]() [2/2]

◆ scale() [1/3]

◆ scale() [2/3]

◆ scale() [3/3]

◆ trace()

◆ transposed()

◆ zero()

Friends And Related Symbol Documentation

◆ dot()

◆ operator*() [1/2]

◆ operator*() [2/2]

◆ outer()

Member Data Documentation

◆ fromRows

◆ x

◆ y