codi::LinearSystemInterface< T_InterfaceTypes > Struct Template Reference

#include <linearSystemInterface.hpp>

Inheritance diagram for codi::LinearSystemInterface< T_InterfaceTypes >:

Public Types
using	InterfaceTypes = T_InterfaceTypes
	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)
Optional: Implementation for reverse mode AD.
template<typename Func >
void	iterateDyadic (Func func, MatrixIdentifier *mat_id, VectorReal *x_v, VectorReal *b_b)
MatrixReal *	transposeMatrix (MatrixReal *A_v)
	Create a transposed matrix.
Optional: 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.
Optional: Implementations for specializations of the algorithm.
void	solveSystemPrimal (MatrixReal const *A, VectorReal const *b, VectorReal *x)

Detailed Description

template<typename T_InterfaceTypes>
struct codi::LinearSystemInterface< T_InterfaceTypes >

The interface defines all mandatory and optional functions that are required by the LinearSystemSolverHandler. Implementations need to define all mandatory functions, the optional ones either depend on the use case and on specifics of the algorithm. For more details see LinearSystemSolverHandler.

If the interface has been specialized, it can be called with:

codi::solveLinearSystem({Specialization}, A, rhs, sol, hints);

The hints parameter is optional, but can be used to improve the runtime and memory. The set of flags that can be passed as hints is defined in LinearSystemSolverFlags.

• ReverseEvaluation: Prepare for a reverse mode evaluation. Stores A_v_trans.
• ForwardEvaluation: Prepare for a forward mode evaluation. Stores A_v.
• PrimalEvaluation: Prepare for a primal reevaluation. Stores A_v.
• ProvidePrimalSolution: Read x_v before the system is solved and provide it to the solveSystem or solveSystemPrimal methods (only during the primal computation, not in the external function implementations).
• RecomputePrimalInForwardEvaluation: In the AD forward mode also solve the primal linear system again.

See Example 21 - Special handling of linear system solvers for an example with the Eigen implementation.

Mandatory methods

• createMatrixReal, createMatrixIdentifier, deleteMatrixReal, deleteMatrixIdentifier
• createVectorReal, createVectorIdentifier, deleteVectorReal, deleteVectorIdentifier
• iterateMatrix with two and three arguments
• iterateVector with two to four arguments
• solveSystem

Optional methods

• Reverse mode AD support:
  • iterateDyadic
  • transposeMatrix
• Foward mode AD support:
  • subtractMultiply
• Other:
  • solveSystemPrimal

Template Parameters

T_InterfaceTypes

The definition of LinearSystemInterfaceTypes for the implementation.

Member Function Documentation

createMatrixIdentifier()

template<typename T_InterfaceTypes >

template<typename M >

MatrixIdentifier * codi::LinearSystemInterface< T_InterfaceTypes >::createMatrixIdentifier

(

M *

mat

)

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_InterfaceTypes >

template<typename M >

MatrixReal * codi::LinearSystemInterface< T_InterfaceTypes >::createMatrixReal

(

M *

mat

)

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_InterfaceTypes >

template<typename V >

VectorIdentifier * codi::LinearSystemInterface< T_InterfaceTypes >::createVectorIdentifier

(

V *

vec

)

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_InterfaceTypes >

template<typename V >

VectorReal * codi::LinearSystemInterface< T_InterfaceTypes >::createVectorReal

(

V *

vec

)

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

Template Parameters

V	V is either Vector or VectorIdentifier.

iterateDyadic()

template<typename T_InterfaceTypes >

template<typename Func >

void codi::LinearSystemInterface< T_InterfaceTypes >::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 .

solveSystem()

template<typename T_InterfaceTypes >

void codi::LinearSystemInterface< T_InterfaceTypes >::solveSystem	(	MatrixReal const *	A,
		VectorReal const *	b,
		VectorReal *	x )

Solve the linear system with the real valued matrices and vectors. Solves Ax = b for x.

solveSystemPrimal()

template<typename T_InterfaceTypes >

void codi::LinearSystemInterface< T_InterfaceTypes >::solveSystemPrimal ( MatrixReal const * A, VectorReal const * b, VectorReal * x )

inline

Solve the linear system with the real valued matrices and vectors. Implementation that is called in the primal routine. If not specialized solveSystem is called. Solves Ax = b for x.

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

• include/codi/tools/helpers/linearSystem/linearSystemInterface.hpp