BRepApprox_BSpParFunctionOfMyBSplGradientOfTheComputeLineOfApprox Class Reference

#include <BRepApprox_BSpParFunctionOfMyBSplGradientOfTheComputeLineOfApprox.hxx>

Inheritance diagram for BRepApprox_BSpParFunctionOfMyBSplGradientOfTheComputeLineOfApprox:

Public Member Functions
	BRepApprox_BSpParFunctionOfMyBSplGradientOfTheComputeLineOfApprox (const BRepApprox_TheMultiLineOfApprox &SSP, const int FirstPoint, const int LastPoint, const occ::handle< NCollection_HArray1< AppParCurves_ConstraintCouple > > &TheConstraints, const math_Vector &Parameters, const NCollection_Array1< double > &Knots, const NCollection_Array1< int > &Mults, const int NbPol)
	initializes the fields of the function. The approximating curve has <NbPol> control points.
int	NbVariables () const override
	returns the number of variables of the function. It corresponds to the number of MultiPoints.
bool	Value (const math_Vector &X, double &F) override
	this method computes the new approximation of the MultiLine SSP and calculates F = sum (||Pui - Bi*Pi||2) for each point of the MultiLine.
bool	Gradient (const math_Vector &X, math_Vector &G) override
	returns the gradient G of the sum above for the parameters Xi.
bool	Values (const math_Vector &X, double &F, math_Vector &G) override
	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).
double	Error (const int IPoint, const int CurveIndex)
	returns the distance between the MultiPoint of range IPoint and the curve CurveIndex.
double	MaxError3d () const
	returns the maximum distance between the points and the MultiBSpCurve.
double	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 occ::handle< NCollection_HArray1< AppParCurves_ConstraintCouple > > &TheConstraints, const int FirstPoint) const
AppParCurves_Constraint	LastConstraint (const occ::handle< NCollection_HArray1< AppParCurves_ConstraintCouple > > &TheConstraints, const int LastPoint) const
void	SetFirstLambda (const double l1)
void	SetLastLambda (const double l2)
Public Member Functions inherited from math_MultipleVarFunction
virtual int	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 int	FirstPoint,
		const int	LastPoint,
		const occ::handle< NCollection_HArray1< AppParCurves_ConstraintCouple > > &	TheConstraints,
		const math_Vector &	Parameters,
		const NCollection_Array1< double > &	Knots,
		const NCollection_Array1< int > &	Mults,
		const int	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()

double BRepApprox_BSpParFunctionOfMyBSplGradientOfTheComputeLineOfApprox::Error	(	const int	IPoint,
		const int	CurveIndex )

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

FirstConstraint()

AppParCurves_Constraint BRepApprox_BSpParFunctionOfMyBSplGradientOfTheComputeLineOfApprox::FirstConstraint	(	const occ::handle< NCollection_HArray1< AppParCurves_ConstraintCouple > > &	TheConstraints,
		const int	FirstPoint ) const

FunctionMatrix()

const math_Matrix & BRepApprox_BSpParFunctionOfMyBSplGradientOfTheComputeLineOfApprox::FunctionMatrix

(

)

const

returns the function matrix used to approximate the multiline.

Gradient()

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

overridevirtual

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 occ::handle< NCollection_HArray1< AppParCurves_ConstraintCouple > > &	TheConstraints,
		const int	LastPoint ) const

MaxError2d()

double BRepApprox_BSpParFunctionOfMyBSplGradientOfTheComputeLineOfApprox::MaxError2d

(

)

const

returns the maximum distance between the points and the MultiBSpCurve.

MaxError3d()

double BRepApprox_BSpParFunctionOfMyBSplGradientOfTheComputeLineOfApprox::MaxError3d

(

)

const

returns the maximum distance between the points and the MultiBSpCurve.

NbVariables()

int BRepApprox_BSpParFunctionOfMyBSplGradientOfTheComputeLineOfApprox::NbVariables ( ) const

overridevirtual

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 double

l1

)

SetLastLambda()

void BRepApprox_BSpParFunctionOfMyBSplGradientOfTheComputeLineOfApprox::SetLastLambda

(

const double

l2

)

Value()

bool BRepApprox_BSpParFunctionOfMyBSplGradientOfTheComputeLineOfApprox::Value ( const math_Vector & X, double & F )

overridevirtual

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()

bool BRepApprox_BSpParFunctionOfMyBSplGradientOfTheComputeLineOfApprox::Values ( const math_Vector & X, double & F, math_Vector & G )

overridevirtual

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

Implements math_MultipleVarFunctionWithGradient.

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

• BRepApprox_BSpParFunctionOfMyBSplGradientOfTheComputeLineOfApprox.hxx