#include <eigenLinearSystem.hpp>

Inheritance diagram for codi::EigenLinearSystem< T_Type, T_Matrix, T_Vector >:

[legend]

Public Types
using	Index = typename Matrix::Index
	Index of an Eigen matrix.

using	InterfaceTypes = EigenLinearSystemTypes< T_Type, T_Matrix, T_Vector >
	See LinearSystemInterface.

using	Matrix = typename InterfaceTypes::Matrix
	See LinearSystemInterfaceTypes.

using	MatrixIdentifier = typename InterfaceTypes::MatrixIdentifier
	See LinearSystemInterfaceTypes.

using	MatrixReal = typename InterfaceTypes::MatrixReal
	See LinearSystemInterfaceTypes.

using	Type = typename InterfaceTypes::Type
	See LinearSystemInterfaceTypes.

using	Vector = typename InterfaceTypes::Vector
	See LinearSystemInterfaceTypes.

using	VectorIdentifier = typename InterfaceTypes::VectorIdentifier
	See LinearSystemInterfaceTypes.

using	VectorReal = typename InterfaceTypes::VectorReal
	See LinearSystemInterfaceTypes.

Public Types inherited from codi::LinearSystemInterface< EigenLinearSystemTypes< T_Type, T_Matrix, T_Vector > >
using	InterfaceTypes = EigenLinearSystemTypes< T_Type, T_Matrix, T_Vector >
	See LinearSystemInterface.

using	Matrix = typename InterfaceTypes::Matrix
	See LinearSystemInterfaceTypes.

using	MatrixIdentifier = typename InterfaceTypes::MatrixIdentifier
	See LinearSystemInterfaceTypes.

using	MatrixReal = typename InterfaceTypes::MatrixReal
	See LinearSystemInterfaceTypes.

using	Type = typename InterfaceTypes::Type
	See LinearSystemInterfaceTypes.

using	Vector = typename InterfaceTypes::Vector
	See LinearSystemInterfaceTypes.

using	VectorIdentifier = typename InterfaceTypes::VectorIdentifier
	See LinearSystemInterfaceTypes.

using	VectorReal = typename InterfaceTypes::VectorReal
	See LinearSystemInterfaceTypes.

Public Member Functions
Mandatory: Implementations for matrix and vector creation and deletion.
template<typename M >
MatrixReal *	createMatrixReal (M *mat)

template<typename M >
MatrixIdentifier *	createMatrixIdentifier (M *mat)

template<typename V >
VectorReal *	createVectorReal (V *vec)

template<typename V >
VectorIdentifier *	createVectorIdentifier (V *vec)

void	deleteMatrixReal (MatrixReal *A_v)
	Delete a real matrix.

void	deleteMatrixIdentifier (MatrixIdentifier *A_id)
	Delete an identifier matrix.

void	deleteVectorReal (VectorReal *vec_v)
	Delete a real Vector.

void	deleteVectorIdentifier (VectorIdentifier *vec_id)
	Delete an identifier vector.

Mandatory: Implementations for matrix and vector iterations.
template<typename Func , typename MatrixA , typename MatrixB >
void	iterateMatrix (Func func, MatrixA matA, MatrixB matB)
	Iterate over all elements in the matrices at the same time.

template<typename Func , typename MatrixA , typename MatrixB , typename MatrixC >
void	iterateMatrix (Func func, MatrixA matA, MatrixB matB, MatrixC *matC)
	Iterate over all elements in the matrices at the same time.

template<typename Func , typename VectorA , typename VectorB >
void	iterateVector (Func func, VectorA vecA, VectorB vecB)
	Iterate over all elements in the vectors at the same time.

template<typename Func , typename VectorA , typename VectorB , typename VectorC >
void	iterateVector (Func func, VectorA vecA, VectorB vecB, VectorC *vecC)
	Iterate over all elements in the vectors at the same time.

template<typename Func , typename VectorA , typename VectorB , typename VectorC , typename VectorD >
void	iterateVector (Func func, VectorA vecA, VectorB vecB, VectorC vecC, VectorD vecD)
	Iterate over all elements in the vectors at the same time.

Mandatory: Implementations for the linear system solve.
void	solveSystem (MatrixReal const A, VectorReal const b, VectorReal *x)
	Needs to be implemented by the user.

Implementation for reverse mode AD.
MatrixReal *	transposeMatrix (MatrixReal *A_v)
	Create a transposed matrix.

template<typename Func >
void	iterateDyadic (Func func, MatrixIdentifier mat_id, VectorReal x_v, VectorReal *b_b)

Implementation for forward mode AD.
void	subtractMultiply (VectorReal t, VectorReal const b_d, MatrixReal const A_d, VectorReal const x)
	Computes t = b_d - A_d * x.

Public Member Functions inherited from codi::LinearSystemInterface< EigenLinearSystemTypes< T_Type, T_Matrix, T_Vector > >
MatrixReal *	createMatrixReal (M *mat)

MatrixIdentifier *	createMatrixIdentifier (M *mat)

VectorReal *	createVectorReal (V *vec)

VectorIdentifier *	createVectorIdentifier (V *vec)

void	deleteMatrixReal (MatrixReal *A_v)
	Delete a real matrix.

void	deleteMatrixIdentifier (MatrixIdentifier *A_id)
	Delete an identifier matrix.

void	deleteVectorReal (VectorReal *vec_v)
	Delete a real Vector.

void	deleteVectorIdentifier (VectorIdentifier *vec_id)
	Delete an identifier vector.

void	iterateMatrix (Func func, MatrixA matA, MatrixB matB)
	Iterate over all elements in the matrices at the same time.

void	iterateMatrix (Func func, MatrixA matA, MatrixB matB, MatrixC *matC)
	Iterate over all elements in the matrices at the same time.

void	iterateVector (Func func, VectorA vecA, VectorB vecB)
	Iterate over all elements in the vectors at the same time.

void	iterateVector (Func func, VectorA vecA, VectorB vecB, VectorC *vecC)
	Iterate over all elements in the vectors at the same time.

void	iterateVector (Func func, VectorA vecA, VectorB vecB, VectorC vecC, VectorD vecD)
	Iterate over all elements in the vectors at the same time.

void	solveSystem (MatrixReal const A, VectorReal const b, VectorReal *x)

void	iterateDyadic (Func func, MatrixIdentifier mat_id, VectorReal x_v, VectorReal *b_b)

MatrixReal *	transposeMatrix (MatrixReal *A_v)
	Create a transposed matrix.

void	subtractMultiply (VectorReal t, VectorReal const b_d, MatrixReal const A_d, VectorReal const x)
	Computes t = b_d - A_d * x.

void	solveSystemPrimal (MatrixReal const A, VectorReal const b, VectorReal *x)

Detailed Description

template<typename T_Type, template< typename > class T_Matrix, template< typename > class T_Vector>
struct codi::EigenLinearSystem< T_Type, T_Matrix, T_Vector >

Eigen implementation of LinearSystemInterface. The only methods missing are solveSystem and solveSystemPrimal (optional). TODO: Link example

Member Function Documentation

◆ createMatrixIdentifier()

template<typename T_Type , template< typename > class T_Matrix, template< typename > class T_Vector>

template<typename M >

MatrixIdentifier * codi::EigenLinearSystem< T_Type, T_Matrix, T_Vector >::createMatrixIdentifier ( M * mat )

inline

Create an identifier matrix from an existing one. Values do not need to be copied.

Template Parameters

M	M is either Matrix or MatrixIdentifier.

◆ createMatrixReal()

template<typename T_Type , template< typename > class T_Matrix, template< typename > class T_Vector>

template<typename M >

MatrixReal * codi::EigenLinearSystem< T_Type, T_Matrix, T_Vector >::createMatrixReal ( M * mat )

inline

Create a real matrix from an existing one. Values do not need to be copied.

Template Parameters

M	M is either Matrix or MatrixIdentifier.

◆ createVectorIdentifier()

template<typename T_Type , template< typename > class T_Matrix, template< typename > class T_Vector>

template<typename V >

VectorIdentifier * codi::EigenLinearSystem< T_Type, T_Matrix, T_Vector >::createVectorIdentifier ( V * vec )

inline

Create an identifier vector from an existing one. Values do not need to be copied.

Template Parameters

V	V is either Vector or VectorIdentifier.

◆ createVectorReal()

template<typename T_Type , template< typename > class T_Matrix, template< typename > class T_Vector>

template<typename V >

VectorReal * codi::EigenLinearSystem< T_Type, T_Matrix, T_Vector >::createVectorReal ( V * vec )

inline

Create a real vector from an existing one. Values do not need to be copied.

Template Parameters

V	V is either Vector or VectorIdentifier.

◆ deleteMatrixIdentifier()

template<typename T_Type , template< typename > class T_Matrix, template< typename > class T_Vector>

void codi::EigenLinearSystem< T_Type, T_Matrix, T_Vector >::deleteMatrixIdentifier ( MatrixIdentifier * A_id )

inline

Delete an identifier matrix.

◆ deleteMatrixReal()

template<typename T_Type , template< typename > class T_Matrix, template< typename > class T_Vector>

void codi::EigenLinearSystem< T_Type, T_Matrix, T_Vector >::deleteMatrixReal ( MatrixReal * A_v )

inline

Delete a real matrix.

◆ deleteVectorIdentifier()

template<typename T_Type , template< typename > class T_Matrix, template< typename > class T_Vector>

void codi::EigenLinearSystem< T_Type, T_Matrix, T_Vector >::deleteVectorIdentifier ( VectorIdentifier * vec_id )

inline

Delete an identifier vector.

◆ deleteVectorReal()

template<typename T_Type , template< typename > class T_Matrix, template< typename > class T_Vector>

void codi::EigenLinearSystem< T_Type, T_Matrix, T_Vector >::deleteVectorReal ( VectorReal * vec_v )

inline

Delete a real Vector.

◆ iterateDyadic()

template<typename T_Type , template< typename > class T_Matrix, template< typename > class T_Vector>

template<typename Func >

void codi::EigenLinearSystem< T_Type, T_Matrix, T_Vector >::iterateDyadic	(	Func	func,
		MatrixIdentifier *	mat_id,
		VectorReal *	x_v,
		VectorReal *	b_b
	)

inline

Iterate over all elements in mat_id and provide the elements in b_b and x_v . For element (i,j) func needs to be called with func(mat_id(i,j), b_b(i), x_v(j)) . For sparse matrices, only the elements of the sparsity pattern need to be considered. Used for e.g. the computation of the dyadic product .

◆ iterateMatrix() [1/2]

template<typename T_Type , template< typename > class T_Matrix, template< typename > class T_Vector>

template<typename Func , typename MatrixA , typename MatrixB >

void codi::EigenLinearSystem< T_Type, T_Matrix, T_Vector >::iterateMatrix	(	Func	func,
		MatrixA *	matA,
		MatrixB *	matB
	)

inline

Iterate over all elements in the matrices at the same time.

◆ iterateMatrix() [2/2]

template<typename T_Type , template< typename > class T_Matrix, template< typename > class T_Vector>

template<typename Func , typename MatrixA , typename MatrixB , typename MatrixC >

void codi::EigenLinearSystem< T_Type, T_Matrix, T_Vector >::iterateMatrix	(	Func	func,
		MatrixA *	matA,
		MatrixB *	matB,
		MatrixC *	matC
	)

inline

Iterate over all elements in the matrices at the same time.

◆ iterateVector() [1/3]

template<typename T_Type , template< typename > class T_Matrix, template< typename > class T_Vector>

template<typename Func , typename VectorA , typename VectorB >

void codi::EigenLinearSystem< T_Type, T_Matrix, T_Vector >::iterateVector	(	Func	func,
		VectorA *	vecA,
		VectorB *	vecB
	)

inline

Iterate over all elements in the vectors at the same time.

◆ iterateVector() [2/3]

template<typename T_Type , template< typename > class T_Matrix, template< typename > class T_Vector>

template<typename Func , typename VectorA , typename VectorB , typename VectorC >

void codi::EigenLinearSystem< T_Type, T_Matrix, T_Vector >::iterateVector	(	Func	func,
		VectorA *	vecA,
		VectorB *	vecB,
		VectorC *	vecC
	)

inline

Iterate over all elements in the vectors at the same time.

◆ iterateVector() [3/3]

template<typename T_Type , template< typename > class T_Matrix, template< typename > class T_Vector>

template<typename Func , typename VectorA , typename VectorB , typename VectorC , typename VectorD >

void codi::EigenLinearSystem< T_Type, T_Matrix, T_Vector >::iterateVector	(	Func	func,
		VectorA *	vecA,
		VectorB *	vecB,
		VectorC *	vecC,
		VectorD *	vecD
	)

inline

Iterate over all elements in the vectors at the same time.

◆ solveSystem()

template<typename T_Type , template< typename > class T_Matrix, template< typename > class T_Vector>

void codi::EigenLinearSystem< T_Type, T_Matrix, T_Vector >::solveSystem	(	MatrixReal const *	A,
		VectorReal const *	b,
		VectorReal *	x
	)

Needs to be implemented by the user.

Solve the linear system with the real valued matrices and vectors. Solves Ax = b for x.
Needs to be implemented by the user.

◆ subtractMultiply()

template<typename T_Type , template< typename > class T_Matrix, template< typename > class T_Vector>

void codi::EigenLinearSystem< T_Type, T_Matrix, T_Vector >::subtractMultiply	(	VectorReal *	t,
		VectorReal const *	b_d,
		MatrixReal const *	A_d,
		VectorReal const *	x
	)

inline

Computes t = b_d - A_d * x.

◆ transposeMatrix()

template<typename T_Type , template< typename > class T_Matrix, template< typename > class T_Vector>

MatrixReal * codi::EigenLinearSystem< T_Type, T_Matrix, T_Vector >::transposeMatrix ( MatrixReal * A_v )

inline

Create a transposed matrix.

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

include/codi/tools/helpers/linearSystem/eigenLinearSystem.hpp

Public Types

Public Member Functions

Detailed Description

Member Function Documentation

◆ createMatrixIdentifier()

◆ createMatrixReal()

◆ createVectorIdentifier()

◆ createVectorReal()

◆ deleteMatrixIdentifier()

◆ deleteMatrixReal()

◆ deleteVectorIdentifier()

◆ deleteVectorReal()

◆ iterateDyadic()

◆ iterateMatrix() [1/2]

◆ iterateMatrix() [2/2]

◆ iterateVector() [1/3]

◆ iterateVector() [2/3]

◆ iterateVector() [3/3]

◆ solveSystem()

◆ subtractMultiply()

◆ transposeMatrix()