Base class for matrix expression. More...

#include <Core/Matrix/MatrixExpression.hpp>

Inheritance diagram for CubbyFlow::MatrixExpression< T, Rows, Cols, Derived >:

Public Types
using	ValueType = T

Public Member Functions
constexpr size_t	GetRows () const
	Returns the number of rows. More...

constexpr size_t	GetCols () const
	Returns the number of columns. More...

T	Eval (size_t i, size_t j) const
	Returns the evaluated value for (i, j). More...

Matrix< T, Rows, Cols >	Eval () const

template<size_t R, size_t C, typename E >
bool	IsSimilar (const MatrixExpression< T, R, C, E > &m, double tol=std::numeric_limits< double >::epsilon()) const

constexpr bool	IsSquare () const
	Returns true if this matrix is a square matrix. More...

ValueType	Sum () const

ValueType	Avg () const

ValueType	Min () const

ValueType	Max () const

ValueType	AbsMin () const

ValueType	AbsMax () const

ValueType	Trace () const

ValueType	Determinant () const

size_t	DominantAxis () const

size_t	SubdominantAxis () const

ValueType	Norm () const

ValueType	NormSquared () const

ValueType	FrobeniusNorm () const

ValueType	Length () const

ValueType	LengthSquared () const

template<size_t R, size_t C, typename E >
ValueType	DistanceTo (const MatrixExpression< T, R, C, E > &other) const
	Returns the distance to the other vector. More...

template<size_t R, size_t C, typename E >
ValueType	DistanceSquaredTo (const MatrixExpression< T, R, C, E > &other) const
	Returns the squared distance to the other vector. More...

MatrixScalarElemWiseBinaryOp< T, Rows, Cols, const Derived &, std::divides< T > >	Normalized () const

MatrixDiagonal< T, Rows, Cols, const Derived & >	Diagonal () const
	Returns diagonal part of this matrix. More...

MatrixOffDiagonal< T, Rows, Cols, const Derived & >	OffDiagonal () const
	Returns off-diagonal part of this matrix. More...

MatrixTri< T, Rows, Cols, const Derived & >	StrictLowerTri () const
	Returns strictly lower triangle part of this matrix. More...

MatrixTri< T, Rows, Cols, const Derived & >	StrictUpperTri () const
	Returns strictly upper triangle part of this matrix. More...

MatrixTri< T, Rows, Cols, const Derived & >	LowerTri () const
	Returns lower triangle part of this matrix (including the diagonal). More...

MatrixTri< T, Rows, Cols, const Derived & >	UpperTri () const
	Returns upper triangle part of this matrix (including the diagonal). More...

MatrixTranspose< T, Rows, Cols, const Derived & >	Transposed () const

Matrix< T, Rows, Cols >	Inverse () const
	Returns inverse matrix. More...

template<typename U >
MatrixUnaryOp< U, Rows, Cols, const Derived &, TypeCast< T, U > >	CastTo () const

template<size_t R, size_t C, typename E , typename U = ValueType>
std::enable_if_t<(IsMatrixSizeDynamic< Rows, Cols >)\|\|Cols==1) &&(IsMatrixSizeDynamic< R, C >)\|\|C==1), U >	Dot (const MatrixExpression< T, R, C, E > &expression) const

template<size_t R, size_t C, typename E , typename U = ValueType>
std::enable_if_t<(IsMatrixSizeDynamic< Rows, Cols >)\|\|(Rows==2 &&Cols==1)) &&(IsMatrixSizeDynamic< R, C >)\|\|(R==2 &&C==1)), U >	Cross (const MatrixExpression< T, R, C, E > &expression) const

template<size_t R, size_t C, typename E , typename U = ValueType>
std::enable_if_t<(IsMatrixSizeDynamic< Rows, Cols >)\|\|(Rows==3 &&Cols==1)) &&(IsMatrixSizeDynamic< R, C >)\|\|(R==3 &&C==1)), Matrix< U, 3, 1 > >	Cross (const MatrixExpression< T, R, C, E > &expression) const

template<size_t R, size_t C, typename E , typename U = ValueType>
std::enable_if_t<(IsMatrixSizeDynamic< Rows, Cols >)\|\|((Rows==2\|\|Rows==3) &&Cols==1)) &&(IsMatrixSizeDynamic< R, C >)\|\|((R==2\|\|R==3) &&C==1)), Matrix< U, Rows, 1 > >	Reflected (const MatrixExpression< T, R, C, E > &normal) const
	Returns the reflection vector to the surface with given surface normal. More...

template<size_t R, size_t C, typename E , typename U = ValueType>
std::enable_if_t<(IsMatrixSizeDynamic< Rows, Cols >)\|\|((Rows==2\|\|Rows==3) &&Cols==1)) &&(IsMatrixSizeDynamic< R, C >)\|\|((R==2\|\|R==3) &&C==1)), Matrix< U, Rows, 1 > >	Projected (const MatrixExpression< T, R, C, E > &normal) const
	Returns the projected vector to the surface with given surface normal. More...

template<typename U = ValueType>
std::enable_if_t<(IsMatrixSizeDynamic< Rows, Cols >)\|\|(Rows==2 &&Cols==1)), Matrix< U, 2, 1 > >	Tangential () const
	Returns the tangential vector for this vector. More...

template<typename U = ValueType>
std::enable_if_t<(IsMatrixSizeDynamic< Rows, Cols >)\|\|(Rows==3 &&Cols==1)), std::tuple< Matrix< U, 3, 1 >, Matrix< U, 3, 1 > > >	Tangentials () const
	Returns the tangential vectors for this vector. More...

Derived &	GetDerived ()
	Returns actual implementation (the subclass). More...

const Derived &	GetDerived () const
	Returns actual implementation (the subclass). More...

template<size_t R, size_t C, typename E >
T	DistanceTo (const MatrixExpression< T, R, C, E > &other) const

template<size_t R, size_t C, typename E >
T	DistanceSquaredTo (const MatrixExpression< T, R, C, E > &other) const

template<typename U >
MatrixTypeCast< T, Rows, Cols, U, const D & >	CastTo () const

template<typename U >
std::enable_if_t<(Rows > 4 &&Cols > 4)\|\|IsMatrixSizeDynamic< Rows, Cols >), U >	Determinant (const MatrixExpression &m)

template<typename M >
void	Inverse (const MatrixExpression< T, Rows, Cols, Derived > &m, std::enable_if_t<(Rows > 4 &&Cols > 4)\|\|IsMatrixSizeDynamic< Rows, Cols >(), M > &result)

Protected Member Functions
	MatrixExpression ()=default

Static Protected Member Functions
static constexpr T	Determinant (const MatrixExpression< T, 1, 1, Derived > &m)

static constexpr T	Determinant (const MatrixExpression< T, 2, 2, Derived > &m)

static constexpr T	Determinant (const MatrixExpression< T, 3, 3, Derived > &m)

static constexpr T	Determinant (const MatrixExpression< T, 4, 4, Derived > &m)

template<typename U = ValueType>
static std::enable_if_t<(Rows > 4 &&Cols > 4)\|\|IsMatrixSizeDynamic< Rows, Cols >), U >	Determinant (const MatrixExpression< T, Rows, Cols, Derived > &m)

static void	Inverse (const MatrixExpression< T, 1, 1, Derived > &m, Matrix< T, Rows, Cols > &result)

static void	Inverse (const MatrixExpression< T, 2, 2, Derived > &m, Matrix< T, Rows, Cols > &result)

static void	Inverse (const MatrixExpression< T, 3, 3, Derived > &m, Matrix< T, Rows, Cols > &result)

static void	Inverse (const MatrixExpression< T, 4, 4, Derived > &m, Matrix< T, Rows, Cols > &result)

template<typename M = Matrix<T, Rows, Cols>>
static void	Inverse (const MatrixExpression &m, std::enable_if_t<(Rows > 4 &&Cols > 4)\|\|IsMatrixSizeDynamic< Rows, Cols >(), M > &result)

Detailed Description

template<typename T, size_t Rows, size_t Cols, typename Derived>
class CubbyFlow::MatrixExpression< T, Rows, Cols, Derived >

Base class for matrix expression.

Matrix expression is a meta type that enables template expression pattern.

Template Parameters

T	Real number type.
Rows	The number of rows.
Cols	The number of columns.
Derived	Subclass type.

Member Typedef Documentation

◆ ValueType

template<typename T, size_t Rows, size_t Cols, typename Derived>

using CubbyFlow::MatrixExpression< T, Rows, Cols, Derived >::ValueType = T

Constructor & Destructor Documentation

◆ MatrixExpression()

template<typename T, size_t Rows, size_t Cols, typename Derived>

CubbyFlow::MatrixExpression< T, Rows, Cols, Derived >::MatrixExpression ( )

protecteddefault

Member Function Documentation

◆ AbsMax()

template<typename T , size_t Rows, size_t Cols, typename D >

T CubbyFlow::MatrixExpression< T, Rows, Cols, D >::AbsMax ( ) const

◆ AbsMin()

template<typename T , size_t Rows, size_t Cols, typename D >

T CubbyFlow::MatrixExpression< T, Rows, Cols, D >::AbsMin ( ) const

◆ Avg()

template<typename T , size_t Rows, size_t Cols, typename D >

T CubbyFlow::MatrixExpression< T, Rows, Cols, D >::Avg ( ) const

◆ CastTo() [1/2]

template<typename T, size_t Rows, size_t Cols, typename Derived>

template<typename U >

MatrixUnaryOp<U, Rows, Cols, const Derived&, TypeCast<T, U> > CubbyFlow::MatrixExpression< T, Rows, Cols, Derived >::CastTo ( ) const

◆ CastTo() [2/2]

template<typename T, size_t Rows, size_t Cols, typename Derived>

template<typename U >

MatrixTypeCast<T, Rows, Cols, U, const D&> CubbyFlow::MatrixExpression< T, Rows, Cols, Derived >::CastTo ( ) const

◆ Cross() [1/2]

template<typename T , size_t Rows, size_t Cols, typename D >

template<size_t R, size_t C, typename E , typename U >

std::enable_if_t<(IsMatrixSizeDynamic< Rows, Cols >)||(Rows==2 &&Cols==1)) &&(IsMatrixSizeDynamic< R, C >)||(R==2 &&C==1)), U > CubbyFlow::MatrixExpression< T, Rows, Cols, D >::Cross ( const MatrixExpression< T, R, C, E > & expression ) const

◆ Cross() [2/2]

template<typename T , size_t Rows, size_t Cols, typename D >

template<size_t R, size_t C, typename E , typename U >

std::enable_if_t<(IsMatrixSizeDynamic< Rows, Cols >)||(Rows==3 &&Cols==1)) &&(IsMatrixSizeDynamic< R, C >)||(R==3 &&C==1)), Matrix< U, 3, 1 > > CubbyFlow::MatrixExpression< T, Rows, Cols, D >::Cross ( const MatrixExpression< T, R, C, E > & expression ) const

◆ Determinant() [1/7]

template<typename T , size_t Rows, size_t Cols, typename D >

T CubbyFlow::MatrixExpression< T, Rows, Cols, D >::Determinant ( ) const

◆ Determinant() [2/7]

template<typename T, size_t Rows, size_t Cols, typename Derived>

static constexpr T CubbyFlow::MatrixExpression< T, Rows, Cols, Derived >::Determinant ( const MatrixExpression< T, 1, 1, Derived > & m )

staticprotected

◆ Determinant() [3/7]

template<typename T, size_t Rows, size_t Cols, typename Derived>

static constexpr T CubbyFlow::MatrixExpression< T, Rows, Cols, Derived >::Determinant ( const MatrixExpression< T, 2, 2, Derived > & m )

staticprotected

◆ Determinant() [4/7]

template<typename T, size_t Rows, size_t Cols, typename Derived>

static constexpr T CubbyFlow::MatrixExpression< T, Rows, Cols, Derived >::Determinant ( const MatrixExpression< T, 3, 3, Derived > & m )

staticprotected

◆ Determinant() [5/7]

template<typename T, size_t Rows, size_t Cols, typename Derived>

static constexpr T CubbyFlow::MatrixExpression< T, Rows, Cols, Derived >::Determinant ( const MatrixExpression< T, 4, 4, Derived > & m )

staticprotected

◆ Determinant() [6/7]

template<typename T, size_t Rows, size_t Cols, typename Derived>

template<typename U = ValueType>

static std::enable_if_t< (Rows > 4 && Cols > 4) || IsMatrixSizeDynamic<Rows, Cols>), U> CubbyFlow::MatrixExpression< T, Rows, Cols, Derived >::Determinant ( const MatrixExpression< T, Rows, Cols, Derived > & m )

staticprotected

◆ Determinant() [7/7]

template<typename T, size_t Rows, size_t Cols, typename Derived>

template<typename U >

std::enable_if_t<(Rows > 4 && Cols > 4) || IsMatrixSizeDynamic<Rows, Cols>), U> CubbyFlow::MatrixExpression< T, Rows, Cols, Derived >::Determinant ( const MatrixExpression< T, Rows, Cols, Derived > & m )

◆ Diagonal()

template<typename T , size_t Rows, size_t Cols, typename D >

MatrixDiagonal< T, Rows, Cols, const D & > CubbyFlow::MatrixExpression< T, Rows, Cols, D >::Diagonal ( ) const

Returns diagonal part of this matrix.

◆ DistanceSquaredTo() [1/2]

template<typename T, size_t Rows, size_t Cols, typename Derived>

template<size_t R, size_t C, typename E >

ValueType CubbyFlow::MatrixExpression< T, Rows, Cols, Derived >::DistanceSquaredTo ( const MatrixExpression< T, R, C, E > & other ) const

Returns the squared distance to the other vector.

◆ DistanceSquaredTo() [2/2]

template<typename T, size_t Rows, size_t Cols, typename Derived>

template<size_t R, size_t C, typename E >

T CubbyFlow::MatrixExpression< T, Rows, Cols, Derived >::DistanceSquaredTo ( const MatrixExpression< T, R, C, E > & other ) const

◆ DistanceTo() [1/2]

template<typename T, size_t Rows, size_t Cols, typename Derived>

template<size_t R, size_t C, typename E >

ValueType CubbyFlow::MatrixExpression< T, Rows, Cols, Derived >::DistanceTo ( const MatrixExpression< T, R, C, E > & other ) const

Returns the distance to the other vector.

◆ DistanceTo() [2/2]

template<typename T, size_t Rows, size_t Cols, typename Derived>

template<size_t R, size_t C, typename E >

T CubbyFlow::MatrixExpression< T, Rows, Cols, Derived >::DistanceTo ( const MatrixExpression< T, R, C, E > & other ) const

◆ DominantAxis()

template<typename T , size_t Rows, size_t Cols, typename D >

size_t CubbyFlow::MatrixExpression< T, Rows, Cols, D >::DominantAxis ( ) const

◆ Dot()

template<typename T , size_t Rows, size_t Cols, typename D >

template<size_t R, size_t C, typename E , typename U >

std::enable_if_t<(IsMatrixSizeDynamic< Rows, Cols >)||Cols==1) &&(IsMatrixSizeDynamic< R, C >)||C==1), U > CubbyFlow::MatrixExpression< T, Rows, Cols, D >::Dot ( const MatrixExpression< T, R, C, E > & expression ) const

◆ Eval() [1/2]

template<typename T , size_t Rows, size_t Cols, typename D >

T CubbyFlow::MatrixExpression< T, Rows, Cols, D >::Eval	(	size_t	i,
		size_t	j
	)		const

Returns the evaluated value for (i, j).

◆ Eval() [2/2]

template<typename T , size_t Rows, size_t Cols, typename D >

Matrix< T, Rows, Cols > CubbyFlow::MatrixExpression< T, Rows, Cols, D >::Eval ( ) const

◆ FrobeniusNorm()

template<typename T , size_t Rows, size_t Cols, typename D >

T CubbyFlow::MatrixExpression< T, Rows, Cols, D >::FrobeniusNorm ( ) const

◆ GetCols()

template<typename T , size_t Rows, size_t Cols, typename D >

constexpr size_t CubbyFlow::MatrixExpression< T, Rows, Cols, D >::GetCols ( ) const

Returns the number of columns.

◆ GetDerived() [1/2]

template<typename T , size_t Rows, size_t Cols, typename D >

D & CubbyFlow::MatrixExpression< T, Rows, Cols, D >::GetDerived ( )

Returns actual implementation (the subclass).

◆ GetDerived() [2/2]

template<typename T , size_t Rows, size_t Cols, typename D >

const D & CubbyFlow::MatrixExpression< T, Rows, Cols, D >::GetDerived ( ) const

Returns actual implementation (the subclass).

◆ GetRows()

template<typename T , size_t Rows, size_t Cols, typename D >

constexpr size_t CubbyFlow::MatrixExpression< T, Rows, Cols, D >::GetRows ( ) const

Returns the number of rows.

◆ Inverse() [1/7]

template<typename T , size_t Rows, size_t Cols, typename D >

Matrix< T, Rows, Cols > CubbyFlow::MatrixExpression< T, Rows, Cols, D >::Inverse ( ) const

Returns inverse matrix.

◆ Inverse() [2/7]

template<typename T, size_t Rows, size_t Cols, typename Derived>

static void CubbyFlow::MatrixExpression< T, Rows, Cols, Derived >::Inverse	(	const MatrixExpression< T, 1, 1, Derived > &	m,
		Matrix< T, Rows, Cols > &	result
	)

staticprotected

◆ Inverse() [3/7]

template<typename T, size_t Rows, size_t Cols, typename Derived>

static void CubbyFlow::MatrixExpression< T, Rows, Cols, Derived >::Inverse	(	const MatrixExpression< T, 2, 2, Derived > &	m,
		Matrix< T, Rows, Cols > &	result
	)

staticprotected

◆ Inverse() [4/7]

template<typename T, size_t Rows, size_t Cols, typename Derived>

static void CubbyFlow::MatrixExpression< T, Rows, Cols, Derived >::Inverse	(	const MatrixExpression< T, 3, 3, Derived > &	m,
		Matrix< T, Rows, Cols > &	result
	)

staticprotected

◆ Inverse() [5/7]

template<typename T, size_t Rows, size_t Cols, typename Derived>

static void CubbyFlow::MatrixExpression< T, Rows, Cols, Derived >::Inverse	(	const MatrixExpression< T, 4, 4, Derived > &	m,
		Matrix< T, Rows, Cols > &	result
	)

staticprotected

◆ Inverse() [6/7]

template<typename T, size_t Rows, size_t Cols, typename Derived>

template<typename M = Matrix<T, Rows, Cols>>

static void CubbyFlow::MatrixExpression< T, Rows, Cols, Derived >::Inverse	(	const MatrixExpression< T, Rows, Cols, Derived > &	m,
		std::enable_if_t<(Rows > 4 &&	Cols,
		4
	)		&

staticprotected

◆ Inverse() [7/7]

template<typename T, size_t Rows, size_t Cols, typename Derived>

template<typename M >

void CubbyFlow::MatrixExpression< T, Rows, Cols, Derived >::Inverse	(	const MatrixExpression< T, Rows, Cols, Derived > &	m,
		std::enable_if_t<(Rows > 4 &&	Cols,
		4
	)		&

◆ IsSimilar()

template<typename T , size_t Rows, size_t Cols, typename D >

template<size_t R, size_t C, typename E >

bool CubbyFlow::MatrixExpression< T, Rows, Cols, D >::IsSimilar	(	const MatrixExpression< T, R, C, E > &	m,
		double	tol = `std::numeric_limits<double>::epsilon()`
	)		const

Returns true if this matrix is similar to the input matrix within the given tolerance.

◆ IsSquare()

template<typename T , size_t Rows, size_t Cols, typename D >

constexpr bool CubbyFlow::MatrixExpression< T, Rows, Cols, D >::IsSquare ( ) const

Returns true if this matrix is a square matrix.

◆ Length()

template<typename T , size_t Rows, size_t Cols, typename D >

T CubbyFlow::MatrixExpression< T, Rows, Cols, D >::Length ( ) const

◆ LengthSquared()

template<typename T , size_t Rows, size_t Cols, typename D >

T CubbyFlow::MatrixExpression< T, Rows, Cols, D >::LengthSquared ( ) const

◆ LowerTri()

template<typename T , size_t Rows, size_t Cols, typename D >

MatrixTri< T, Rows, Cols, const D & > CubbyFlow::MatrixExpression< T, Rows, Cols, D >::LowerTri ( ) const

Returns lower triangle part of this matrix (including the diagonal).

◆ Max()

template<typename T , size_t Rows, size_t Cols, typename D >

T CubbyFlow::MatrixExpression< T, Rows, Cols, D >::Max ( ) const

◆ Min()

template<typename T , size_t Rows, size_t Cols, typename D >

T CubbyFlow::MatrixExpression< T, Rows, Cols, D >::Min ( ) const

◆ Norm()

template<typename T , size_t Rows, size_t Cols, typename D >

T CubbyFlow::MatrixExpression< T, Rows, Cols, D >::Norm ( ) const

◆ Normalized()

template<typename T , size_t Rows, size_t Cols, typename D >

MatrixScalarElemWiseDiv< T, Rows, Cols, const D & > CubbyFlow::MatrixExpression< T, Rows, Cols, D >::Normalized ( ) const

◆ NormSquared()

template<typename T , size_t Rows, size_t Cols, typename D >

T CubbyFlow::MatrixExpression< T, Rows, Cols, D >::NormSquared ( ) const

◆ OffDiagonal()

template<typename T , size_t Rows, size_t Cols, typename D >

MatrixOffDiagonal< T, Rows, Cols, const D & > CubbyFlow::MatrixExpression< T, Rows, Cols, D >::OffDiagonal ( ) const

Returns off-diagonal part of this matrix.

◆ Projected()

template<typename T , size_t Rows, size_t Cols, typename D >

template<size_t R, size_t C, typename E , typename U >

std::enable_if_t<(IsMatrixSizeDynamic< Rows, Cols >)||((Rows==2||Rows==3) &&Cols==1)) &&(IsMatrixSizeDynamic< R, C >)||((R==2||R==3) &&C==1)), Matrix< U, Rows, 1 > > CubbyFlow::MatrixExpression< T, Rows, Cols, D >::Projected ( const MatrixExpression< T, R, C, E > & normal ) const

Returns the projected vector to the surface with given surface normal.

◆ Reflected()

template<typename T , size_t Rows, size_t Cols, typename D >

template<size_t R, size_t C, typename E , typename U >

std::enable_if_t<(IsMatrixSizeDynamic< Rows, Cols >)||((Rows==2||Rows==3) &&Cols==1)) &&(IsMatrixSizeDynamic< R, C >)||((R==2||R==3) &&C==1)), Matrix< U, Rows, 1 > > CubbyFlow::MatrixExpression< T, Rows, Cols, D >::Reflected ( const MatrixExpression< T, R, C, E > & normal ) const

Returns the reflection vector to the surface with given surface normal.

◆ StrictLowerTri()

template<typename T , size_t Rows, size_t Cols, typename D >

MatrixTri< T, Rows, Cols, const D & > CubbyFlow::MatrixExpression< T, Rows, Cols, D >::StrictLowerTri ( ) const

Returns strictly lower triangle part of this matrix.

◆ StrictUpperTri()

template<typename T , size_t Rows, size_t Cols, typename D >

MatrixTri< T, Rows, Cols, const D & > CubbyFlow::MatrixExpression< T, Rows, Cols, D >::StrictUpperTri ( ) const

Returns strictly upper triangle part of this matrix.

◆ SubdominantAxis()

template<typename T , size_t Rows, size_t Cols, typename D >

size_t CubbyFlow::MatrixExpression< T, Rows, Cols, D >::SubdominantAxis ( ) const

◆ Sum()

template<typename T , size_t Rows, size_t Cols, typename D >

T CubbyFlow::MatrixExpression< T, Rows, Cols, D >::Sum ( ) const

◆ Tangential()

template<typename T , size_t Rows, size_t Cols, typename D >

template<typename U >

std::enable_if_t<(IsMatrixSizeDynamic< Rows, Cols >)||(Rows==2 &&Cols==1)), Matrix< U, 2, 1 > > CubbyFlow::MatrixExpression< T, Rows, Cols, D >::Tangential ( ) const

Returns the tangential vector for this vector.

◆ Tangentials()

template<typename T , size_t Rows, size_t Cols, typename D >

template<typename U >

std::enable_if_t<(IsMatrixSizeDynamic< Rows, Cols >)||(Rows==3 &&Cols==1)), std::tuple< Matrix< U, 3, 1 >, Matrix< U, 3, 1 > > > CubbyFlow::MatrixExpression< T, Rows, Cols, D >::Tangentials ( ) const

Returns the tangential vectors for this vector.

◆ Trace()

template<typename T , size_t Rows, size_t Cols, typename D >

T CubbyFlow::MatrixExpression< T, Rows, Cols, D >::Trace ( ) const

◆ Transposed()

template<typename T , size_t Rows, size_t Cols, typename D >

MatrixTranspose< T, Rows, Cols, const D & > CubbyFlow::MatrixExpression< T, Rows, Cols, D >::Transposed ( ) const

◆ UpperTri()

template<typename T , size_t Rows, size_t Cols, typename D >

MatrixTri< T, Rows, Cols, const D & > CubbyFlow::MatrixExpression< T, Rows, Cols, D >::UpperTri ( ) const

Returns upper triangle part of this matrix (including the diagonal).

The documentation for this class was generated from the following files:

Core/Matrix/MatrixExpression.hpp
Core/Matrix/MatrixExpression-Impl.hpp

Public Types

Public Member Functions

Protected Member Functions

Static Protected Member Functions

Detailed Description

template<typename T, size_t Rows, size_t Cols, typename Derived> class CubbyFlow::MatrixExpression< T, Rows, Cols, Derived >

Member Typedef Documentation

◆ ValueType

Constructor & Destructor Documentation

◆ MatrixExpression()

Member Function Documentation

◆ AbsMax()

◆ AbsMin()

◆ Avg()

◆ CastTo() [1/2]

◆ CastTo() [2/2]

◆ Cross() [1/2]

◆ Cross() [2/2]

◆ Determinant() [1/7]

◆ Determinant() [2/7]

◆ Determinant() [3/7]

◆ Determinant() [4/7]

◆ Determinant() [5/7]

◆ Determinant() [6/7]

◆ Determinant() [7/7]

◆ Diagonal()

◆ DistanceSquaredTo() [1/2]

◆ DistanceSquaredTo() [2/2]

◆ DistanceTo() [1/2]

◆ DistanceTo() [2/2]

◆ DominantAxis()

◆ Dot()

◆ Eval() [1/2]

◆ Eval() [2/2]

◆ FrobeniusNorm()

◆ GetCols()

◆ GetDerived() [1/2]

◆ GetDerived() [2/2]

◆ GetRows()

◆ Inverse() [1/7]

◆ Inverse() [2/7]

◆ Inverse() [3/7]

◆ Inverse() [4/7]

◆ Inverse() [5/7]

◆ Inverse() [6/7]

◆ Inverse() [7/7]

◆ IsSimilar()

◆ IsSquare()

◆ Length()

◆ LengthSquared()

◆ LowerTri()

◆ Max()

◆ Min()

◆ Norm()

◆ Normalized()

◆ NormSquared()

◆ OffDiagonal()

◆ Projected()

◆ Reflected()

◆ StrictLowerTri()

◆ StrictUpperTri()

◆ SubdominantAxis()

◆ Sum()

◆ Tangential()

◆ Tangentials()

◆ Trace()

◆ Transposed()

◆ UpperTri()

template<typename T, size_t Rows, size_t Cols, typename Derived>
class CubbyFlow::MatrixExpression< T, Rows, Cols, Derived >