DGtal::concepts::CLinearAlgebraSolver< S, V, M > Struct Template Reference

Aim: Describe a linear solver defined over a linear algebra. Problems are of the form: More...

#include <DGtal/math/linalg/CLinearAlgebraSolver.h>

Inheritance diagram for DGtal::concepts::CLinearAlgebraSolver< S, V, M >:

Public Types
typedef S	Solver
typedef V	Vector
typedef M	Matrix

Public Member Functions
	BOOST_CONCEPT_ASSERT ((CLinearAlgebra< Vector, Matrix >))
	BOOST_CONCEPT_USAGE (CLinearAlgebraSolver)

Private Attributes
int	status_return
const Solver	const_solver
Solver	solver
const Matrix	a
const Vector	y
V	x

Detailed Description

template<typename S, typename V, typename M>
struct DGtal::concepts::CLinearAlgebraSolver< S, V, M >

Aim: Describe a linear solver defined over a linear algebra. Problems are of the form:

Description of concept 'CLinearAlgebraSolver'

a * x = y

where a type is a model of CMatrix and x, y type is a model of CVector. Matrix and vector types should be a model of CLinearAlgebra.

Refinement of

• boost::DefaultConstructible<S>
• CLinearAlgebra<V, M>

Associated types

Notation

• Solver : A type that is a model of CLinearAlgebraSolver
• Vector : A type that is a model of CVector
• Matrix : A type that is a model of CMatrix
• Info : The type returned by solver.status(), problem solved successfully if true when compared to 0
• y : object of type Vector, input of the linear problem
• x : object of type Vector, solution of the linear problem
• a : object of type Matrix
• info : object of type Info

Definitions

Valid expressions and semantics

Name	Expression	Type requirements	Return type	Precondition	Semantics	Post condition	Complexity
Problem factorization / matrix input	solver.compute(a)					return *this.
Problem resolution / vector input	x = solver.solve(y)		Vector
Status	solver.status()

Invariants

Models

Notes

Template Parameters

S	the type that should be a model of CLinearAlgebraSolver.
V	the type that should be a model of CVector
M	the type that should be a model of CMatrix

Definition at line 103 of file CLinearAlgebraSolver.h.

Member Typedef Documentation

Matrix

template<typename S , typename V , typename M >

typedef M DGtal::concepts::CLinearAlgebraSolver< S, V, M >::Matrix

Definition at line 109 of file CLinearAlgebraSolver.h.

Solver

template<typename S , typename V , typename M >

typedef S DGtal::concepts::CLinearAlgebraSolver< S, V, M >::Solver

Definition at line 107 of file CLinearAlgebraSolver.h.

Vector

template<typename S , typename V , typename M >

typedef V DGtal::concepts::CLinearAlgebraSolver< S, V, M >::Vector

Definition at line 108 of file CLinearAlgebraSolver.h.

Member Function Documentation

BOOST_CONCEPT_ASSERT()

template<typename S , typename V , typename M >

DGtal::concepts::CLinearAlgebraSolver< S, V, M >::BOOST_CONCEPT_ASSERT

(

(CLinearAlgebra< Vector, Matrix >)

)

BOOST_CONCEPT_USAGE()

template<typename S , typename V , typename M >

DGtal::concepts::CLinearAlgebraSolver< S, V, M >::BOOST_CONCEPT_USAGE ( CLinearAlgebraSolver< S, V, M >  )

inline

Definition at line 113 of file CLinearAlgebraSolver.h.

    {
        solver.compute(a);
        status_return = static_cast<int>(const_solver.info());
        x = const_solver.solve(y);
    }

References DGtal::concepts::CLinearAlgebraSolver< S, V, M >::const_solver, DGtal::concepts::CLinearAlgebraSolver< S, V, M >::solver, and DGtal::concepts::CLinearAlgebraSolver< S, V, M >::status_return.

Field Documentation

a

template<typename S , typename V , typename M >

const Matrix DGtal::concepts::CLinearAlgebraSolver< S, V, M >::a

private

Definition at line 124 of file CLinearAlgebraSolver.h.

const_solver

template<typename S , typename V , typename M >

const Solver DGtal::concepts::CLinearAlgebraSolver< S, V, M >::const_solver

private

Definition at line 122 of file CLinearAlgebraSolver.h.

Referenced by DGtal::concepts::CLinearAlgebraSolver< S, V, M >::BOOST_CONCEPT_USAGE().

solver

template<typename S , typename V , typename M >

Solver DGtal::concepts::CLinearAlgebraSolver< S, V, M >::solver

private

Definition at line 123 of file CLinearAlgebraSolver.h.

Referenced by DGtal::concepts::CLinearAlgebraSolver< S, V, M >::BOOST_CONCEPT_USAGE().

status_return

template<typename S , typename V , typename M >

int DGtal::concepts::CLinearAlgebraSolver< S, V, M >::status_return

private

Definition at line 121 of file CLinearAlgebraSolver.h.

Referenced by DGtal::concepts::CLinearAlgebraSolver< S, V, M >::BOOST_CONCEPT_USAGE().

x

template<typename S , typename V , typename M >

V DGtal::concepts::CLinearAlgebraSolver< S, V, M >::x

private

Definition at line 126 of file CLinearAlgebraSolver.h.

y

template<typename S , typename V , typename M >

const Vector DGtal::concepts::CLinearAlgebraSolver< S, V, M >::y

private

Definition at line 125 of file CLinearAlgebraSolver.h.

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

• CLinearAlgebraSolver.h