#include <BRepApprox_BSpParFunctionOfMyBSplGradientOfTheComputeLineOfApprox.hxx>

Inheritance diagram for BRepApprox_BSpParFunctionOfMyBSplGradientOfTheComputeLineOfApprox:

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Public Member Functions
	BRepApprox_BSpParFunctionOfMyBSplGradientOfTheComputeLineOfApprox (const BRepApprox_TheMultiLineOfApprox &SSP, const Standard_Integer FirstPoint, const Standard_Integer LastPoint, const Handle< AppParCurves_HArray1OfConstraintCouple > &TheConstraints, const math_Vector &Parameters, const TColStd_Array1OfReal &Knots, const TColStd_Array1OfInteger &Mults, const Standard_Integer NbPol)
	initializes the fields of the function. The approximating curve has <NbPol> control points.

Standard_Integer	NbVariables () const
	returns the number of variables of the function. It corresponds to the number of MultiPoints.

Standard_Boolean	Value (const math_Vector &X, Standard_Real &F)
	this method computes the new approximation of the MultiLine SSP and calculates F = sum (\|\|Pui - Bi*Pi\|\|2) for each point of the MultiLine.

Standard_Boolean	Gradient (const math_Vector &X, math_Vector &G)
	returns the gradient G of the sum above for the parameters Xi.

Standard_Boolean	Values (const math_Vector &X, Standard_Real &F, math_Vector &G)
	returns the value F=sum(\|\|Pui - Bi*Pi\|\|)2. returns the value G = grad(F) for the parameters Xi.

const math_Vector &	NewParameters () const
	returns the new parameters of the MultiLine.

AppParCurves_MultiBSpCurve	CurveValue ()
	returns the MultiBSpCurve approximating the set after computing the value F or Grad(F).

Standard_Real	Error (const Standard_Integer IPoint, const Standard_Integer CurveIndex)
	returns the distance between the MultiPoint of range IPoint and the curve CurveIndex.

Standard_Real	MaxError3d () const
	returns the maximum distance between the points and the MultiBSpCurve.

Standard_Real	MaxError2d () const
	returns the maximum distance between the points and the MultiBSpCurve.

const math_Matrix &	FunctionMatrix () const
	returns the function matrix used to approximate the multiline.

const math_Matrix &	DerivativeFunctionMatrix () const
	returns the derivative function matrix used to approximate the multiline.

const math_IntegerVector &	Index () const
	Returns the indexes of the first non null values of A and DA. The values are non null from Index(ieme point) +1 to Index(ieme point) + degree +1.

AppParCurves_Constraint	FirstConstraint (const Handle< AppParCurves_HArray1OfConstraintCouple > &TheConstraints, const Standard_Integer FirstPoint) const

AppParCurves_Constraint	LastConstraint (const Handle< AppParCurves_HArray1OfConstraintCouple > &TheConstraints, const Standard_Integer LastPoint) const

void	SetFirstLambda (const Standard_Real l1)

void	SetLastLambda (const Standard_Real l2)

Public Member Functions inherited from math_MultipleVarFunction
virtual Standard_Integer	GetStateNumber ()
	return the state of the function corresponding to the latestt call of any methods associated to the function. This function is called by each of the algorithms described later which define the function Integer Algorithm::StateNumber(). The algorithm has the responsibility to call this function when it has found a solution (i.e. a root or a minimum) and has to maintain the association between the solution found and this StateNumber. Byu default, this method returns 0 (which means for the algorithm: no state has been saved). It is the responsibility of the programmer to decide if he needs to save the current state of the function and to return an Integer that allows retrieval of the state.

virtual	~math_MultipleVarFunction ()

Protected Member Functions
void	Perform (const math_Vector &X)
	this method is used each time Value or Gradient is needed.

Constructor & Destructor Documentation

◆ BRepApprox_BSpParFunctionOfMyBSplGradientOfTheComputeLineOfApprox()

BRepApprox_BSpParFunctionOfMyBSplGradientOfTheComputeLineOfApprox::BRepApprox_BSpParFunctionOfMyBSplGradientOfTheComputeLineOfApprox	(	const BRepApprox_TheMultiLineOfApprox &	SSP,
		const Standard_Integer	FirstPoint,
		const Standard_Integer	LastPoint,
		const Handle< AppParCurves_HArray1OfConstraintCouple > &	TheConstraints,
		const math_Vector &	Parameters,
		const TColStd_Array1OfReal &	Knots,
		const TColStd_Array1OfInteger &	Mults,
		const Standard_Integer	NbPol
	)

initializes the fields of the function. The approximating curve has <NbPol> control points.

Member Function Documentation

◆ CurveValue()

AppParCurves_MultiBSpCurve BRepApprox_BSpParFunctionOfMyBSplGradientOfTheComputeLineOfApprox::CurveValue ( )

returns the MultiBSpCurve approximating the set after computing the value F or Grad(F).

◆ DerivativeFunctionMatrix()

const math_Matrix & BRepApprox_BSpParFunctionOfMyBSplGradientOfTheComputeLineOfApprox::DerivativeFunctionMatrix ( ) const

returns the derivative function matrix used to approximate the multiline.

◆ Error()

Standard_Real BRepApprox_BSpParFunctionOfMyBSplGradientOfTheComputeLineOfApprox::Error	(	const Standard_Integer	IPoint,
		const Standard_Integer	CurveIndex
	)

returns the distance between the MultiPoint of range IPoint and the curve CurveIndex.

◆ FirstConstraint()

AppParCurves_Constraint BRepApprox_BSpParFunctionOfMyBSplGradientOfTheComputeLineOfApprox::FirstConstraint	(	const Handle< AppParCurves_HArray1OfConstraintCouple > &	TheConstraints,
		const Standard_Integer	FirstPoint
	)		const

◆ FunctionMatrix()

const math_Matrix & BRepApprox_BSpParFunctionOfMyBSplGradientOfTheComputeLineOfApprox::FunctionMatrix ( ) const

returns the function matrix used to approximate the multiline.

◆ Gradient()

Standard_Boolean BRepApprox_BSpParFunctionOfMyBSplGradientOfTheComputeLineOfApprox::Gradient	(	const math_Vector &	X,
		math_Vector &	G
	)

virtual

returns the gradient G of the sum above for the parameters Xi.

Implements math_MultipleVarFunctionWithGradient.

◆ Index()

const math_IntegerVector & BRepApprox_BSpParFunctionOfMyBSplGradientOfTheComputeLineOfApprox::Index ( ) const

Returns the indexes of the first non null values of A and DA. The values are non null from Index(ieme point) +1 to Index(ieme point) + degree +1.

◆ LastConstraint()

AppParCurves_Constraint BRepApprox_BSpParFunctionOfMyBSplGradientOfTheComputeLineOfApprox::LastConstraint	(	const Handle< AppParCurves_HArray1OfConstraintCouple > &	TheConstraints,
		const Standard_Integer	LastPoint
	)		const

◆ MaxError2d()

Standard_Real BRepApprox_BSpParFunctionOfMyBSplGradientOfTheComputeLineOfApprox::MaxError2d ( ) const

returns the maximum distance between the points and the MultiBSpCurve.

◆ MaxError3d()

Standard_Real BRepApprox_BSpParFunctionOfMyBSplGradientOfTheComputeLineOfApprox::MaxError3d ( ) const

returns the maximum distance between the points and the MultiBSpCurve.

◆ NbVariables()

Standard_Integer BRepApprox_BSpParFunctionOfMyBSplGradientOfTheComputeLineOfApprox::NbVariables ( ) const

virtual

returns the number of variables of the function. It corresponds to the number of MultiPoints.

Implements math_MultipleVarFunctionWithGradient.

◆ NewParameters()

const math_Vector & BRepApprox_BSpParFunctionOfMyBSplGradientOfTheComputeLineOfApprox::NewParameters ( ) const

returns the new parameters of the MultiLine.

◆ Perform()

void BRepApprox_BSpParFunctionOfMyBSplGradientOfTheComputeLineOfApprox::Perform ( const math_Vector & X )

protected

this method is used each time Value or Gradient is needed.

◆ SetFirstLambda()

void BRepApprox_BSpParFunctionOfMyBSplGradientOfTheComputeLineOfApprox::SetFirstLambda ( const Standard_Real l1 )

◆ SetLastLambda()

void BRepApprox_BSpParFunctionOfMyBSplGradientOfTheComputeLineOfApprox::SetLastLambda ( const Standard_Real l2 )

◆ Value()

Standard_Boolean BRepApprox_BSpParFunctionOfMyBSplGradientOfTheComputeLineOfApprox::Value	(	const math_Vector &	X,
		Standard_Real &	F
	)

virtual

this method computes the new approximation of the MultiLine SSP and calculates F = sum (||Pui - Bi*Pi||2) for each point of the MultiLine.

Implements math_MultipleVarFunctionWithGradient.

◆ Values()

Standard_Boolean BRepApprox_BSpParFunctionOfMyBSplGradientOfTheComputeLineOfApprox::Values	(	const math_Vector &	X,
		Standard_Real &	F,
		math_Vector &	G
	)

virtual

returns the value F=sum(||Pui - Bi*Pi||)2. returns the value G = grad(F) for the parameters Xi.

Implements math_MultipleVarFunctionWithGradient.

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

BRepApprox_BSpParFunctionOfMyBSplGradientOfTheComputeLineOfApprox.hxx

Public Member Functions

Protected Member Functions

Constructor & Destructor Documentation

◆ BRepApprox_BSpParFunctionOfMyBSplGradientOfTheComputeLineOfApprox()

Member Function Documentation

◆ CurveValue()

◆ DerivativeFunctionMatrix()

◆ Error()

◆ FirstConstraint()

◆ FunctionMatrix()

◆ Gradient()

◆ Index()

◆ LastConstraint()

◆ MaxError2d()

◆ MaxError3d()

◆ NbVariables()

◆ NewParameters()

◆ Perform()

◆ SetFirstLambda()

◆ SetLastLambda()

◆ Value()

◆ Values()