math_KronrodSingleIntegration Class Reference

This class implements the Gauss-Kronrod method of integral computation. More...

#include <math_KronrodSingleIntegration.hxx>

Public Member Functions
	math_KronrodSingleIntegration ()
	An empty constructor.
	math_KronrodSingleIntegration (math_Function &theFunction, const Standard_Real theLower, const Standard_Real theUpper, const Standard_Integer theNbPnts)
	Constructor. Takes the function, the lower and upper bound values, the initial number of Kronrod points.
	math_KronrodSingleIntegration (math_Function &theFunction, const Standard_Real theLower, const Standard_Real theUpper, const Standard_Integer theNbPnts, const Standard_Real theTolerance, const Standard_Integer theMaxNbIter)
	Constructor. Takes the function, the lower and upper bound values, the initial number of Kronrod points, the tolerance value and the maximal number of iterations as parameters.
void	Perform (math_Function &theFunction, const Standard_Real theLower, const Standard_Real theUpper, const Standard_Integer theNbPnts)
	Computation of the integral. Takes the function, the lower and upper bound values, the initial number of Kronrod points, the relative tolerance value and the maximal number of iterations as parameters. theNbPnts should be odd and greater then or equal to 3.
void	Perform (math_Function &theFunction, const Standard_Real theLower, const Standard_Real theUpper, const Standard_Integer theNbPnts, const Standard_Real theTolerance, const Standard_Integer theMaxNbIter)
	Computation of the integral. Takes the function, the lower and upper bound values, the initial number of Kronrod points, the relative tolerance value and the maximal number of iterations as parameters. theNbPnts should be odd and greater then or equal to 3. Note that theTolerance is relative, i.e. the criterion of solution reaching is: Abs(Kronrod - Gauss)/Abs(Kronrod) < theTolerance. theTolerance should be positive.
Standard_Boolean	IsDone () const
	Returns Standard_True if computation is performed successfully.
Standard_Real	Value () const
	Returns the value of the integral.
Standard_Real	ErrorReached () const
	Returns the value of the relative error reached.
Standard_Real	AbsolutError () const
	Returns the value of the relative error reached.
Standard_Integer	OrderReached () const
	Returns the number of Kronrod points for which the result is computed.
Standard_Integer	NbIterReached () const
	Returns the number of iterations that were made to compute result.

Static Public Member Functions
static Standard_Boolean	GKRule (math_Function &theFunction, const Standard_Real theLower, const Standard_Real theUpper, const math_Vector &theGaussP, const math_Vector &theGaussW, const math_Vector &theKronrodP, const math_Vector &theKronrodW, Standard_Real &theValue, Standard_Real &theError)

Detailed Description

This class implements the Gauss-Kronrod method of integral computation.

Constructor & Destructor Documentation

math_KronrodSingleIntegration() [1/3]

math_KronrodSingleIntegration::math_KronrodSingleIntegration

(

)

An empty constructor.

math_KronrodSingleIntegration() [2/3]

math_KronrodSingleIntegration::math_KronrodSingleIntegration	(	math_Function &	theFunction,
		const Standard_Real	theLower,
		const Standard_Real	theUpper,
		const Standard_Integer	theNbPnts
	)

Constructor. Takes the function, the lower and upper bound values, the initial number of Kronrod points.

math_KronrodSingleIntegration() [3/3]

math_KronrodSingleIntegration::math_KronrodSingleIntegration	(	math_Function &	theFunction,
		const Standard_Real	theLower,
		const Standard_Real	theUpper,
		const Standard_Integer	theNbPnts,
		const Standard_Real	theTolerance,
		const Standard_Integer	theMaxNbIter
	)

Constructor. Takes the function, the lower and upper bound values, the initial number of Kronrod points, the tolerance value and the maximal number of iterations as parameters.

Member Function Documentation

AbsolutError()

Standard_Real math_KronrodSingleIntegration::AbsolutError

(

)

const

Returns the value of the relative error reached.

ErrorReached()

Standard_Real math_KronrodSingleIntegration::ErrorReached

(

)

const

Returns the value of the relative error reached.

GKRule()

static Standard_Boolean math_KronrodSingleIntegration::GKRule ( math_Function &  theFunction, const Standard_Real  theLower, const Standard_Real  theUpper, const math_Vector &  theGaussP, const math_Vector &  theGaussW, const math_Vector &  theKronrodP, const math_Vector &  theKronrodW, Standard_Real &  theValue, Standard_Real &  theError  )

static

IsDone()

Standard_Boolean math_KronrodSingleIntegration::IsDone

(

)

const

Returns Standard_True if computation is performed successfully.

NbIterReached()

Standard_Integer math_KronrodSingleIntegration::NbIterReached

(

)

const

Returns the number of iterations that were made to compute result.

OrderReached()

Standard_Integer math_KronrodSingleIntegration::OrderReached

(

)

const

Returns the number of Kronrod points for which the result is computed.

Perform() [1/2]

void math_KronrodSingleIntegration::Perform	(	math_Function &	theFunction,
		const Standard_Real	theLower,
		const Standard_Real	theUpper,
		const Standard_Integer	theNbPnts
	)

Computation of the integral. Takes the function, the lower and upper bound values, the initial number of Kronrod points, the relative tolerance value and the maximal number of iterations as parameters. theNbPnts should be odd and greater then or equal to 3.

Perform() [2/2]

void math_KronrodSingleIntegration::Perform	(	math_Function &	theFunction,
		const Standard_Real	theLower,
		const Standard_Real	theUpper,
		const Standard_Integer	theNbPnts,
		const Standard_Real	theTolerance,
		const Standard_Integer	theMaxNbIter
	)

Computation of the integral. Takes the function, the lower and upper bound values, the initial number of Kronrod points, the relative tolerance value and the maximal number of iterations as parameters. theNbPnts should be odd and greater then or equal to 3. Note that theTolerance is relative, i.e. the criterion of solution reaching is: Abs(Kronrod - Gauss)/Abs(Kronrod) < theTolerance. theTolerance should be positive.

Value()

Standard_Real math_KronrodSingleIntegration::Value

(

)

const

Returns the value of the integral.

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

• math_KronrodSingleIntegration.hxx