Symmetric tensor of 2nd order. More...

#include <SymmetricTensor.h>

Public Member Functions
	SymmetricTensor ()=default

INLINE	SymmetricTensor (const SymmetricTensor &other)

INLINE	SymmetricTensor (const Vector &diag, const Vector &off)
	Construct tensor given its diagonal vector and a vector of off-diagonal elements (sorted top-bottom and left-right). More...

INLINE	SymmetricTensor (const Float value)
	Initialize all components of the tensor to given value. More...

INLINE	SymmetricTensor (const Vector &v0, const Vector &v1, const Vector &v2)
	Construct tensor given three vectors as rows. More...

INLINE SymmetricTensor &	operator= (const SymmetricTensor &other)

INLINE Vector	row (const Size idx) const
	Returns a row of the matrix. More...

INLINE Float &	operator() (const Size rowIdx, const Size colIdx)
	Returns a given element of the matrix. More...

INLINE Float	operator() (const Size rowIdx, const Size colIdx) const
	Returns a given element of the matrix, const version. More...

INLINE const Vector &	diagonal () const
	Returns the diagonal part of the tensor. More...

INLINE const Vector &	offDiagonal () const
	Returns the off-diagonal elements of the tensor. More...

INLINE Vector	operator* (const Vector &v) const
	Applies the tensor on given vector. More...

INLINE SymmetricTensor &	operator+= (const SymmetricTensor &other)

INLINE SymmetricTensor &	operator-= (const SymmetricTensor &other)

INLINE SymmetricTensor &	operator*= (const Float value)

INLINE SymmetricTensor &	operator/= (const Float value)

INLINE SymmetricTensor	operator- () const

INLINE bool	operator== (const SymmetricTensor &other) const

INLINE bool	operator!= (const SymmetricTensor &other) const

INLINE Float	determinant () const
	Returns the determinant of the tensor. More...

INLINE Float	trace () const
	Return the trace of the tensor. More...

template<int n>
INLINE Float	invariant () const
	Returns n-th invariant of the tensor (1<=n<=3) More...

INLINE SymmetricTensor	inverse () const

SymmetricTensor	pseudoInverse (const Float eps) const

Static Public Member Functions
static INLINE SymmetricTensor	identity ()
	Returns an identity tensor. More...

static INLINE SymmetricTensor	null ()
	Returns a tensor with all zeros. More...

Friends
INLINE friend SymmetricTensor	operator* (const SymmetricTensor &t, const Float v)
	Multiplies a tensor by a scalar. More...

INLINE friend SymmetricTensor	operator* (const Float v, const SymmetricTensor &t)

INLINE friend SymmetricTensor	operator* (const SymmetricTensor &t1, const SymmetricTensor &t2)
	Multiplies a tensor by another tensor, element-wise. Not a matrix multiplication! More...

INLINE friend SymmetricTensor	operator/ (const SymmetricTensor &t, const Float v)
	Divides a tensor by a scalar. More...

INLINE friend SymmetricTensor	operator/ (const SymmetricTensor &t1, const SymmetricTensor &t2)
	Divides a tensor by another tensor, element-wise. More...

INLINE friend SymmetricTensor	operator+ (const SymmetricTensor &t1, const SymmetricTensor &t2)
	Sums up two tensors. More...

INLINE friend SymmetricTensor	operator- (const SymmetricTensor &t1, const SymmetricTensor &t2)

std::ostream &	operator<< (std::ostream &stream, const SymmetricTensor &t)

Detailed Description

Symmetric tensor of 2nd order.

Internally, data are stored in two vectors, representing the diagonal and the off-diagonal components.

Definition at line 18 of file SymmetricTensor.h.

Constructor & Destructor Documentation

◆ SymmetricTensor() [1/5]

SymmetricTensor::SymmetricTensor ( )

default

◆ SymmetricTensor() [2/5]

INLINE SymmetricTensor::SymmetricTensor ( const SymmetricTensor & other )

inline

Definition at line 26 of file SymmetricTensor.h.

◆ SymmetricTensor() [3/5]

INLINE SymmetricTensor::SymmetricTensor	(	const Vector &	diag,
		const Vector &	off
	)

inline

Construct tensor given its diagonal vector and a vector of off-diagonal elements (sorted top-bottom and left-right).

Definition at line 32 of file SymmetricTensor.h.

◆ SymmetricTensor() [4/5]

INLINE SymmetricTensor::SymmetricTensor ( const Float value )

inlineexplicit

Initialize all components of the tensor to given value.

Definition at line 37 of file SymmetricTensor.h.

◆ SymmetricTensor() [5/5]

INLINE SymmetricTensor::SymmetricTensor	(	const Vector &	v0,
		const Vector &	v1,
		const Vector &	v2
	)

inline

Construct tensor given three vectors as rows.

Matrix represented by the vectors MUST be symmetric, checked by assert.

Definition at line 44 of file SymmetricTensor.h.

Member Function Documentation

◆ determinant()

INLINE Float SymmetricTensor::determinant ( ) const

inline

Returns the determinant of the tensor.

Definition at line 193 of file SymmetricTensor.h.

◆ diagonal()

INLINE const Vector& SymmetricTensor::diagonal ( ) const

inline

Returns the diagonal part of the tensor.

Definition at line 92 of file SymmetricTensor.h.

◆ identity()

static INLINE SymmetricTensor SymmetricTensor::identity ( )

inlinestatic

Returns an identity tensor.

Definition at line 183 of file SymmetricTensor.h.

◆ invariant()

template<int n>

INLINE Float SymmetricTensor::invariant ( ) const

inline

Returns n-th invariant of the tensor (1<=n<=3)

Todo:: optimize with shuffle

Definition at line 205 of file SymmetricTensor.h.

◆ inverse()

INLINE SymmetricTensor SymmetricTensor::inverse ( ) const

inline

Todo:: optimize using SSE

Definition at line 219 of file SymmetricTensor.h.

◆ null()

static INLINE SymmetricTensor SymmetricTensor::null ( )

inlinestatic

Returns a tensor with all zeros.

Definition at line 188 of file SymmetricTensor.h.

◆ offDiagonal()

INLINE const Vector& SymmetricTensor::offDiagonal ( ) const

inline

Returns the off-diagonal elements of the tensor.

Definition at line 97 of file SymmetricTensor.h.

◆ operator!=()

INLINE bool SymmetricTensor::operator!= ( const SymmetricTensor & other ) const

inline

Definition at line 178 of file SymmetricTensor.h.

◆ operator()() [1/2]

INLINE Float& SymmetricTensor::operator()	(	const Size	rowIdx,
		const Size	colIdx
	)

inline

Returns a given element of the matrix.

Definition at line 74 of file SymmetricTensor.h.

◆ operator()() [2/2]

INLINE Float SymmetricTensor::operator()	(	const Size	rowIdx,
		const Size	colIdx
	)		const

inline

Returns a given element of the matrix, const version.

Definition at line 83 of file SymmetricTensor.h.

◆ operator*()

INLINE Vector SymmetricTensor::operator* ( const Vector & v ) const

inline

Applies the tensor on given vector.

Todo:: optimize using _mm_shuffle_ps

Definition at line 102 of file SymmetricTensor.h.

◆ operator*=()

INLINE SymmetricTensor& SymmetricTensor::operator*= ( const Float value )

inline

Definition at line 154 of file SymmetricTensor.h.

◆ operator+=()

INLINE SymmetricTensor& SymmetricTensor::operator+= ( const SymmetricTensor & other )

inline

Definition at line 142 of file SymmetricTensor.h.

◆ operator-()

INLINE SymmetricTensor SymmetricTensor::operator- ( ) const

inline

Definition at line 166 of file SymmetricTensor.h.

◆ operator-=()

INLINE SymmetricTensor& SymmetricTensor::operator-= ( const SymmetricTensor & other )

inline

Definition at line 148 of file SymmetricTensor.h.

◆ operator/=()

INLINE SymmetricTensor& SymmetricTensor::operator/= ( const Float value )

inline

Definition at line 160 of file SymmetricTensor.h.

◆ operator=()

INLINE SymmetricTensor& SymmetricTensor::operator= ( const SymmetricTensor & other )

inline

Definition at line 52 of file SymmetricTensor.h.

◆ operator==()

INLINE bool SymmetricTensor::operator== ( const SymmetricTensor & other ) const

inline

Definition at line 174 of file SymmetricTensor.h.

◆ pseudoInverse()

NAMESPACE_SPH_BEGIN SymmetricTensor SymmetricTensor::pseudoInverse ( const Float eps ) const

Definition at line 6 of file SymmetricTensor.cpp.

◆ row()

INLINE Vector SymmetricTensor::row ( const Size idx ) const

inline

Returns a row of the matrix.

Definition at line 59 of file SymmetricTensor.h.

◆ trace()

INLINE Float SymmetricTensor::trace ( ) const

inline

Return the trace of the tensor.

Definition at line 199 of file SymmetricTensor.h.

Friends And Related Function Documentation

◆ operator* [1/3]

INLINE friend SymmetricTensor operator*	(	const Float	v,
		const SymmetricTensor &	t
	)

friend

Definition at line 114 of file SymmetricTensor.h.

◆ operator* [2/3]

INLINE friend SymmetricTensor operator*	(	const SymmetricTensor &	t,
		const Float	v
	)

friend

Multiplies a tensor by a scalar.

Definition at line 110 of file SymmetricTensor.h.

◆ operator* [3/3]

INLINE friend SymmetricTensor operator*	(	const SymmetricTensor &	t1,
		const SymmetricTensor &	t2
	)

friend

Multiplies a tensor by another tensor, element-wise. Not a matrix multiplication!

Definition at line 119 of file SymmetricTensor.h.

◆ operator+

INLINE friend SymmetricTensor operator+	(	const SymmetricTensor &	t1,
		const SymmetricTensor &	t2
	)

friend

Sums up two tensors.

Definition at line 134 of file SymmetricTensor.h.

◆ operator-

INLINE friend SymmetricTensor operator-	(	const SymmetricTensor &	t1,
		const SymmetricTensor &	t2
	)

friend

Definition at line 138 of file SymmetricTensor.h.

◆ operator/ [1/2]

INLINE friend SymmetricTensor operator/	(	const SymmetricTensor &	t,
		const Float	v
	)

friend

Divides a tensor by a scalar.

Definition at line 124 of file SymmetricTensor.h.

◆ operator/ [2/2]

INLINE friend SymmetricTensor operator/	(	const SymmetricTensor &	t1,
		const SymmetricTensor &	t2
	)

friend

Divides a tensor by another tensor, element-wise.

Definition at line 129 of file SymmetricTensor.h.

◆ operator<<

std::ostream& operator<<	(	std::ostream &	stream,
		const SymmetricTensor &	t
	)

friend

Definition at line 236 of file SymmetricTensor.h.

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

/home/pavel/projects/astro/sph/src/core/objects/geometry/SymmetricTensor.h
/home/pavel/projects/astro/sph/src/core/objects/geometry/SymmetricTensor.cpp

Public Member Functions

Static Public Member Functions

Friends

Detailed Description

Constructor & Destructor Documentation

◆ SymmetricTensor() [1/5]

◆ SymmetricTensor() [2/5]

◆ SymmetricTensor() [3/5]

◆ SymmetricTensor() [4/5]

◆ SymmetricTensor() [5/5]

Member Function Documentation

◆ determinant()

◆ diagonal()

◆ identity()

◆ invariant()

◆ inverse()

◆ null()

◆ offDiagonal()

◆ operator!=()

◆ operator()() [1/2]

◆ operator()() [2/2]

◆ operator*()

◆ operator*=()

◆ operator+=()

◆ operator-()

◆ operator-=()

◆ operator/=()

◆ operator=()

◆ operator==()

◆ pseudoInverse()

◆ row()

◆ trace()

Friends And Related Function Documentation

◆ operator* [1/3]

◆ operator* [2/3]

◆ operator* [3/3]

◆ operator+

◆ operator-

◆ operator/ [1/2]

◆ operator/ [2/2]

◆ operator<<