Classes
class	ug::DenseMatrix< TStorage >

class	ug::DenseVector< TStorage >

struct	ug::matrix_algebra_type_traits< T >

struct	ug::matrix_algebra_type_traits< DenseMatrix< T > >

class	ug::TE_TRANSPOSED< T >

Functions
template<typename T >
double	ug::GetDet2 (const DenseMatrix< T > &mat)

template<typename T >
double	ug::GetDet3 (const DenseMatrix< T > &mat)

bool	ug::GetInverse (DenseMatrix< FixedArray2< double, 1, 1 > > &inv, const DenseMatrix< FixedArray2< double, 1, 1 > > &mat)

bool	ug::GetInverse (DenseMatrix< FixedArray2< double, 2, 2 > > &inv, const DenseMatrix< FixedArray2< double, 2, 2 > > &mat)

bool	ug::GetInverse (DenseMatrix< FixedArray2< double, 3, 3 > > &inv, const DenseMatrix< FixedArray2< double, 3, 3 > > &mat)

template<typename T , size_t TBlockSize, eMatrixOrdering TOrdering>
bool	ug::GetInverse (DenseMatrixInverse< FixedArray2< T, TBlockSize, TBlockSize, TOrdering > > &inv, const DenseMatrix< FixedArray2< T, TBlockSize, TBlockSize, TOrdering > > &mat)

template<typename T , eMatrixOrdering TOrdering>
bool	ug::GetInverse (DenseMatrixInverse< VariableArray2< T, TOrdering > > &inv, const DenseMatrix< VariableArray2< T, TOrdering > > &mat)

template<typename T >
bool	ug::GetInverse1 (DenseMatrix< T > &inv, const DenseMatrix< T > &mat)

template<typename T >
bool	ug::GetInverse2 (DenseMatrix< T > &inv, const DenseMatrix< T > &mat)

template<typename T >
bool	ug::GetInverse3 (DenseMatrix< T > &inv, const DenseMatrix< T > &mat)

bool	ug::InverseMatMult (DenseVector< FixedArray1< double, 1 > > &dest, double beta1, const DenseMatrix< FixedArray2< double, 1, 1 > > &A1, const DenseVector< FixedArray1< double, 1 > > &w1)

template<typename T >
bool	ug::InverseMatMult (DenseVector< FixedArray1< double, 2 > > &dest, double beta, const DenseMatrix< FixedArray2< double, 2, 2 > > &mat, const DenseVector< FixedArray1< double, 2 > > &vec)

template<typename T >
bool	ug::InverseMatMult (DenseVector< FixedArray1< double, 3 > > &dest, double beta, const DenseMatrix< FixedArray2< double, 3, 3 > > &mat, const DenseVector< FixedArray1< double, 3 > > &vec)

template<typename vector_t , typename matrix_t >
bool	ug::InverseMatMult (DenseVector< vector_t > &dest, double beta, const DenseMatrix< matrix_t > &mat, const DenseVector< vector_t > &vec)

template<typename vector_t , typename matrix_t >
bool	ug::InverseMatMult1 (DenseVector< vector_t > &dest, double beta1, const DenseMatrix< matrix_t > &A1, const DenseVector< vector_t > &w1)

template<typename vector_t , typename matrix_t >
bool	ug::InverseMatMult2 (DenseVector< vector_t > &dest, double beta, const DenseMatrix< matrix_t > &mat, const DenseVector< vector_t > &vec)

template<typename vector_t , typename matrix_t >
bool	ug::InverseMatMult3 (DenseVector< vector_t > &dest, double beta, const DenseMatrix< matrix_t > &mat, const DenseVector< vector_t > &vec)

template<typename vector_t , typename matrix_t >
bool	ug::InverseMatMultN (DenseVector< vector_t > &dest, double beta, const DenseMatrix< matrix_t > &mat, const DenseVector< vector_t > &vec)

bool	ug::Invert (DenseMatrix< FixedArray2< double, 1, 1 > > &mat)

bool	ug::Invert (DenseMatrix< FixedArray2< double, 2, 2 > > &mat)

bool	ug::Invert (DenseMatrix< FixedArray2< double, 3, 3 > > &mat)

template<typename T >
bool	ug::Invert (DenseMatrix< T > &mat)

template<typename T >
bool	ug::Invert1 (DenseMatrix< T > &mat)

template<typename T >
bool	ug::Invert2 (DenseMatrix< T > &mat)

bool	ug::Invert3 (DenseMatrix< FixedArray2< double, 3, 3 > > &mat)

bool	ug::Invert3 (DenseMatrix< VariableArray2< double > > &mat)

template<typename vector_t , typename matrix_t >
void	ug::MatMult (DenseVector< vector_t > &dest, const number &beta1, const DenseMatrix< matrix_t > &A1, const DenseVector< vector_t > &w1)
	calculates dest = beta1 * A1 * w1; More...

template<typename vector_t , typename matrix_t >
void	ug::MatMult (DenseVector< vector_t > &dest, const number &beta1, const DenseMatrixInverse< matrix_t > &A1, const DenseVector< vector_t > &w1)
	calculates dest = beta1 * A1; More...

template<typename vector_t , typename matrix_t >
void	ug::MatMultAdd (DenseVector< vector_t > &dest, const number &alpha1, const DenseVector< vector_t > &v1, const number &beta1, const DenseMatrix< matrix_t > &A1, const DenseVector< vector_t > &w1)
	calculates dest = alpha1v1 + beta1 A1 *w1; More...

template<typename vector_t , typename matrix_t >
void	ug::MatMultAdd (DenseVector< vector_t > &dest, const number &alpha1, const DenseVector< vector_t > &v1, const number &beta1, const DenseMatrixInverse< matrix_t > &A1, const DenseVector< vector_t > &w1)
	calculates dest = alpha1v1 + beta1 A1 *w1; More...

template<typename vector_t , typename matrix_t >
void	ug::MatMultTransposedAdd (DenseVector< vector_t > &dest, const number &alpha1, const DenseVector< vector_t > &v1, const number &beta1, const DenseMatrix< matrix_t > &A1, const DenseVector< vector_t > &w1)
	calculates dest = alpha1v1 + beta1 A1^T *w1; More...

template<typename TStorage >
DenseMatrix< TStorage >	ug::MatrixTranspose (const DenseMatrix< TStorage > &A)

double	ug::MatrixTranspose (const double &b)

template<typename TStorage >
DenseVector< TStorage >	ug::operator* (double alpha, const DenseVector< TStorage > &vec)

template<typename TStorage >
DenseMatrix< TStorage >	ug::operator* (number a, const DenseMatrix< TStorage > &b)

template<typename TStorage >
bool	ug::operator< (double alpha, const DenseVector< TStorage > &vec)

template<typename TStorage >
bool	ug::operator<= (double alpha, const DenseVector< TStorage > &vec)

template<typename TStorage >
bool	ug::operator> (double alpha, const DenseVector< TStorage > &vec)

template<typename TStorage >
bool	ug::operator>= (double alpha, const DenseVector< TStorage > &vec)

const double &	ug::te_transpose (const double &t)

template<typename T >
TE_TRANSPOSED< T >	ug::te_transpose (const T &t)

double &	ug::te_transpose (double &t)

Detailed Description

Function Documentation

◆ GetDet2()

template<typename T >

double ug::GetDet2 ( const DenseMatrix< T > & mat )

inline

References UG_ASSERT.

Referenced by ug::GetInverse2(), ug::InverseMatMult2(), and ug::Invert2().

◆ GetDet3()

template<typename T >

double ug::GetDet3 ( const DenseMatrix< T > & mat )

inline

References UG_ASSERT.

Referenced by ug::GetInverse3(), and ug::InverseMatMult3().

◆ GetInverse() [1/5]

bool ug::GetInverse	(	DenseMatrix< FixedArray2< double, 1, 1 > > &	inv,
		const DenseMatrix< FixedArray2< double, 1, 1 > > &	mat
	)

inline

References ug::GetInverse1().

◆ GetInverse() [2/5]

bool ug::GetInverse	(	DenseMatrix< FixedArray2< double, 2, 2 > > &	inv,
		const DenseMatrix< FixedArray2< double, 2, 2 > > &	mat
	)

inline

References ug::GetInverse2().

◆ GetInverse() [3/5]

bool ug::GetInverse	(	DenseMatrix< FixedArray2< double, 3, 3 > > &	inv,
		const DenseMatrix< FixedArray2< double, 3, 3 > > &	mat
	)

inline

References ug::GetInverse3().

◆ GetInverse() [4/5]

template<typename T , size_t TBlockSize, eMatrixOrdering TOrdering>

bool ug::GetInverse	(	DenseMatrixInverse< FixedArray2< T, TBlockSize, TBlockSize, TOrdering > > &	inv,
		const DenseMatrix< FixedArray2< T, TBlockSize, TBlockSize, TOrdering > > &	mat
	)

inline

◆ GetInverse() [5/5]

template<typename T , eMatrixOrdering TOrdering>

bool ug::GetInverse	(	DenseMatrixInverse< VariableArray2< T, TOrdering > > &	inv,
		const DenseMatrix< VariableArray2< T, TOrdering > > &	mat
	)

inline

◆ GetInverse1()

template<typename T >

bool ug::GetInverse1	(	DenseMatrix< T > &	inv,
		const DenseMatrix< T > &	mat
	)

inline

Referenced by ug::GetInverse().

◆ GetInverse2()

template<typename T >

bool ug::GetInverse2	(	DenseMatrix< T > &	inv,
		const DenseMatrix< T > &	mat
	)

inline

References ug::GetDet2(), and UG_ASSERT.

Referenced by ug::GetInverse().

◆ GetInverse3()

template<typename T >

bool ug::GetInverse3	(	DenseMatrix< T > &	inv,
		const DenseMatrix< T > &	mat
	)

inline

References ug::GetDet3(), and UG_ASSERT.

Referenced by ug::GetInverse(), and ug::Invert3().

◆ InverseMatMult() [1/4]

bool ug::InverseMatMult	(	DenseVector< FixedArray1< double, 1 > > &	dest,
		double	beta1,
		const DenseMatrix< FixedArray2< double, 1, 1 > > &	A1,
		const DenseVector< FixedArray1< double, 1 > > &	w1
	)

inline

References ug::InverseMatMult1().

◆ InverseMatMult() [2/4]

template<typename T >

bool ug::InverseMatMult	(	DenseVector< FixedArray1< double, 2 > > &	dest,
		double	beta,
		const DenseMatrix< FixedArray2< double, 2, 2 > > &	mat,
		const DenseVector< FixedArray1< double, 2 > > &	vec
	)

inline

References ug::InverseMatMult2().

◆ InverseMatMult() [3/4]

template<typename T >

bool ug::InverseMatMult	(	DenseVector< FixedArray1< double, 3 > > &	dest,
		double	beta,
		const DenseMatrix< FixedArray2< double, 3, 3 > > &	mat,
		const DenseVector< FixedArray1< double, 3 > > &	vec
	)

inline

References ug::InverseMatMult3().

◆ InverseMatMult() [4/4]

template<typename vector_t , typename matrix_t >

bool ug::InverseMatMult	(	DenseVector< vector_t > &	dest,
		double	beta,
		const DenseMatrix< matrix_t > &	mat,
		const DenseVector< vector_t > &	vec
	)

inline

References ug::InverseMatMult1(), ug::InverseMatMult2(), ug::InverseMatMult3(), and ug::InverseMatMultN().

◆ InverseMatMult1()

template<typename vector_t , typename matrix_t >

bool ug::InverseMatMult1	(	DenseVector< vector_t > &	dest,
		double	beta1,
		const DenseMatrix< matrix_t > &	A1,
		const DenseVector< vector_t > &	w1
	)

inline

References UG_ASSERT.

Referenced by ug::InverseMatMult().

◆ InverseMatMult2()

template<typename vector_t , typename matrix_t >

bool ug::InverseMatMult2	(	DenseVector< vector_t > &	dest,
		double	beta,
		const DenseMatrix< matrix_t > &	mat,
		const DenseVector< vector_t > &	vec
	)

inline

References ug::GetDet2(), and UG_ASSERT.

Referenced by ug::InverseMatMult().

◆ InverseMatMult3()

template<typename vector_t , typename matrix_t >

bool ug::InverseMatMult3	(	DenseVector< vector_t > &	dest,
		double	beta,
		const DenseMatrix< matrix_t > &	mat,
		const DenseVector< vector_t > &	vec
	)

inline

References ug::GetDet3(), and UG_ASSERT.

Referenced by ug::InverseMatMult().

◆ InverseMatMultN()

template<typename vector_t , typename matrix_t >

bool ug::InverseMatMultN	(	DenseVector< vector_t > &	dest,
		double	beta,
		const DenseMatrix< matrix_t > &	mat,
		const DenseVector< vector_t > &	vec
	)

inline

References ug::GetInverse(), and ug::MatMult().

Referenced by ug::InverseMatMult().

◆ Invert() [1/4]

bool ug::Invert ( DenseMatrix< FixedArray2< double, 1, 1 > > & mat )

inline

References ug::Invert1().

◆ Invert() [2/4]

bool ug::Invert ( DenseMatrix< FixedArray2< double, 2, 2 > > & mat )

inline

References ug::Invert2().

◆ Invert() [3/4]

bool ug::Invert ( DenseMatrix< FixedArray2< double, 3, 3 > > & mat )

inline

References ug::Invert3().

◆ Invert() [4/4]

template<typename T >

bool ug::Invert ( DenseMatrix< T > & mat )

inline

References ug::Invert1(), ug::Invert2(), ug::Invert3(), and ug::InvertNdyn().

◆ Invert1()

template<typename T >

bool ug::Invert1 ( DenseMatrix< T > & mat )

Referenced by ug::Invert().

◆ Invert2()

template<typename T >

bool ug::Invert2 ( DenseMatrix< T > & mat )

References ug::GetDet2().

Referenced by ug::Invert().

◆ Invert3() [1/2]

bool ug::Invert3 ( DenseMatrix< FixedArray2< double, 3, 3 > > & mat )

inline

References ug::GetInverse3().

Referenced by ug::Invert().

◆ Invert3() [2/2]

bool ug::Invert3 ( DenseMatrix< VariableArray2< double > > & mat )

inline

References ug::GetInverse3().

◆ MatMult() [1/2]

template<typename vector_t , typename matrix_t >

void ug::MatMult	(	DenseVector< vector_t > &	dest,
		const number &	beta1,
		const DenseMatrix< matrix_t > &	A1,
		const DenseVector< vector_t > &	w1
	)

inline

calculates dest = beta1 * A1 * w1;

References ug::MatMult(), and ug::MatMultAdd().

◆ MatMult() [2/2]

template<typename vector_t , typename matrix_t >

void ug::MatMult	(	DenseVector< vector_t > &	dest,
		const number &	beta1,
		const DenseMatrixInverse< matrix_t > &	A1,
		const DenseVector< vector_t > &	w1
	)

inline

calculates dest = beta1 * A1;

References ug::DenseMatrixInverse< TStorage >::apply(), and ug::VecScaleAssign().

◆ MatMultAdd() [1/2]

template<typename vector_t , typename matrix_t >

void ug::MatMultAdd	(	DenseVector< vector_t > &	dest,
		const number &	alpha1,
		const DenseVector< vector_t > &	v1,
		const number &	beta1,
		const DenseMatrix< matrix_t > &	A1,
		const DenseVector< vector_t > &	w1
	)

inline

calculates dest = alpha1*v1 + beta1 * A1 *w1;

References ug::MatMultAdd(), and ug::VecScaleAssign().

◆ MatMultAdd() [2/2]

template<typename vector_t , typename matrix_t >

void ug::MatMultAdd	(	DenseVector< vector_t > &	dest,
		const number &	alpha1,
		const DenseVector< vector_t > &	v1,
		const number &	beta1,
		const DenseMatrixInverse< matrix_t > &	A1,
		const DenseVector< vector_t > &	w1
	)

inline

calculates dest = alpha1*v1 + beta1 * A1 *w1;

References ug::DenseMatrixInverse< TStorage >::apply(), and ug::VecScaleAdd().

◆ MatMultTransposedAdd()

template<typename vector_t , typename matrix_t >

void ug::MatMultTransposedAdd	(	DenseVector< vector_t > &	dest,
		const number &	alpha1,
		const DenseVector< vector_t > &	v1,
		const number &	beta1,
		const DenseMatrix< matrix_t > &	A1,
		const DenseVector< vector_t > &	w1
	)

inline

calculates dest = alpha1*v1 + beta1 * A1^T *w1;

References ug::MatMultTransposedAdd(), and ug::VecScaleAssign().

◆ MatrixTranspose() [1/2]

template<typename TStorage >

DenseMatrix<TStorage> ug::MatrixTranspose ( const DenseMatrix< TStorage > & A )

Referenced by ug::checksub().

◆ MatrixTranspose() [2/2]

double ug::MatrixTranspose ( const double & b )

inline

◆ operator*() [1/2]

template<typename TStorage >

DenseVector<TStorage> ug::operator*	(	double	alpha,
		const DenseVector< TStorage > &	vec
	)

inline

References alpha.

◆ operator*() [2/2]

template<typename TStorage >

DenseMatrix<TStorage> ug::operator*	(	number	a,
		const DenseMatrix< TStorage > &	b
	)

◆ operator<()

template<typename TStorage >

bool ug::operator<	(	double	alpha,
		const DenseVector< TStorage > &	vec
	)

inline

References alpha.

◆ operator<=()

template<typename TStorage >

bool ug::operator<=	(	double	alpha,
		const DenseVector< TStorage > &	vec
	)

inline

References alpha.

◆ operator>()

template<typename TStorage >

bool ug::operator>	(	double	alpha,
		const DenseVector< TStorage > &	vec
	)

inline

References alpha.

◆ operator>=()

template<typename TStorage >

bool ug::operator>=	(	double	alpha,
		const DenseVector< TStorage > &	vec
	)

inline

References alpha.

◆ te_transpose() [1/3]

const double& ug::te_transpose ( const double & t )

inline

◆ te_transpose() [2/3]

template<typename T >

TE_TRANSPOSED<T> ug::te_transpose ( const T & t )

inline

◆ te_transpose() [3/3]

double& ug::te_transpose ( double & t )

inline

Classes

Functions

Detailed Description

Function Documentation

◆ GetDet2()

◆ GetDet3()

◆ GetInverse() [1/5]

◆ GetInverse() [2/5]

◆ GetInverse() [3/5]

◆ GetInverse() [4/5]

◆ GetInverse() [5/5]

◆ GetInverse1()

◆ GetInverse2()

◆ GetInverse3()

◆ InverseMatMult() [1/4]

◆ InverseMatMult() [2/4]

◆ InverseMatMult() [3/4]

◆ InverseMatMult() [4/4]

◆ InverseMatMult1()

◆ InverseMatMult2()

◆ InverseMatMult3()

◆ InverseMatMultN()

◆ Invert() [1/4]

◆ Invert() [2/4]

◆ Invert() [3/4]

◆ Invert() [4/4]

◆ Invert1()

◆ Invert2()

◆ Invert3() [1/2]

◆ Invert3() [2/2]

◆ MatMult() [1/2]

◆ MatMult() [2/2]

◆ MatMultAdd() [1/2]

◆ MatMultAdd() [2/2]

◆ MatMultTransposedAdd()

◆ MatrixTranspose() [1/2]

◆ MatrixTranspose() [2/2]

◆ operator*() [1/2]

◆ operator*() [2/2]

◆ operator<()

◆ operator<=()

◆ operator>()

◆ operator>=()

◆ te_transpose() [1/3]

◆ te_transpose() [2/3]

◆ te_transpose() [3/3]