To work with different polynomial's Bases. More...

#include <PLib_Base.hxx>

Inheritance diagram for PLib_Base:

Public Member Functions
virtual void	ToCoefficients (const Standard_Integer Dimension, const Standard_Integer Degree, const TColStd_Array1OfReal &CoeffinBase, TColStd_Array1OfReal &Coefficients) const =0
	Convert the polynomial P(t) in the canonical base. More...

virtual void	D0 (const Standard_Real U, TColStd_Array1OfReal &BasisValue)=0
	Compute the values of the basis functions in u. More...

virtual void	D1 (const Standard_Real U, TColStd_Array1OfReal &BasisValue, TColStd_Array1OfReal &BasisD1)=0
	Compute the values and the derivatives values of the basis functions in u. More...

virtual void	D2 (const Standard_Real U, TColStd_Array1OfReal &BasisValue, TColStd_Array1OfReal &BasisD1, TColStd_Array1OfReal &BasisD2)=0
	Compute the values and the derivatives values of the basis functions in u. More...

virtual void	D3 (const Standard_Real U, TColStd_Array1OfReal &BasisValue, TColStd_Array1OfReal &BasisD1, TColStd_Array1OfReal &BasisD2, TColStd_Array1OfReal &BasisD3)=0
	Compute the values and the derivatives values of the basis functions in u. More...

virtual Standard_Integer	WorkDegree () const =0
	returns WorkDegree More...

virtual void	ReduceDegree (const Standard_Integer Dimension, const Standard_Integer MaxDegree, const Standard_Real Tol, Standard_Real &BaseCoeff, Standard_Integer &NewDegree, Standard_Real &MaxError) const =0
	Compute NewDegree <= MaxDegree so that MaxError is lower than Tol. MaxError can be greater than Tol if it is not possible to find a NewDegree <= MaxDegree. In this case NewDegree = MaxDegree. More...

Public Member Functions inherited from Standard_Transient
	Standard_Transient ()
	Empty constructor. More...

	Standard_Transient (const Standard_Transient &)
	Copy constructor – does nothing. More...

Standard_Transient &	operator= (const Standard_Transient &)
	Assignment operator, needed to avoid copying reference counter. More...

virtual	~Standard_Transient ()
	Destructor must be virtual. More...

virtual void	Delete () const
	Memory deallocator for transient classes. More...

virtual const opencascade::handle< Standard_Type > &	DynamicType () const
	Returns a type descriptor about this object. More...

Standard_Boolean	IsInstance (const opencascade::handle< Standard_Type > &theType) const
	Returns a true value if this is an instance of Type. More...

Standard_Boolean	IsInstance (const Standard_CString theTypeName) const
	Returns a true value if this is an instance of TypeName. More...

Standard_Boolean	IsKind (const opencascade::handle< Standard_Type > &theType) const
	Returns true if this is an instance of Type or an instance of any class that inherits from Type. Note that multiple inheritance is not supported by OCCT RTTI mechanism. More...

Standard_Boolean	IsKind (const Standard_CString theTypeName) const
	Returns true if this is an instance of TypeName or an instance of any class that inherits from TypeName. Note that multiple inheritance is not supported by OCCT RTTI mechanism. More...

Standard_Transient *	This () const
	Returns non-const pointer to this object (like const_cast). For protection against creating handle to objects allocated in stack or call from constructor, it will raise exception Standard_ProgramError if reference counter is zero. More...

Standard_Integer	GetRefCount () const
	Get the reference counter of this object. More...

void	IncrementRefCounter () const
	Increments the reference counter of this object. More...

Standard_Integer	DecrementRefCounter () const
	Decrements the reference counter of this object; returns the decremented value. More...

Additional Inherited Members
Public Types inherited from Standard_Transient
typedef void	base_type
	Returns a type descriptor about this object. More...

Static Public Member Functions inherited from Standard_Transient
static const char *	get_type_name ()
	Returns a type descriptor about this object. More...

static const opencascade::handle< Standard_Type > &	get_type_descriptor ()
	Returns type descriptor of Standard_Transient class. More...

Detailed Description

To work with different polynomial's Bases.

Member Function Documentation

◆ D0()

virtual void PLib_Base::D0	(	const Standard_Real	U,
		TColStd_Array1OfReal &	BasisValue
	)

pure virtual

Compute the values of the basis functions in u.

Implemented in PLib_JacobiPolynomial, and PLib_HermitJacobi.

◆ D1()

virtual void PLib_Base::D1	(	const Standard_Real	U,
		TColStd_Array1OfReal &	BasisValue,
		TColStd_Array1OfReal &	BasisD1
	)

pure virtual

Compute the values and the derivatives values of the basis functions in u.

Implemented in PLib_JacobiPolynomial, and PLib_HermitJacobi.

◆ D2()

virtual void PLib_Base::D2	(	const Standard_Real	U,
		TColStd_Array1OfReal &	BasisValue,
		TColStd_Array1OfReal &	BasisD1,
		TColStd_Array1OfReal &	BasisD2
	)

pure virtual

Compute the values and the derivatives values of the basis functions in u.

Implemented in PLib_JacobiPolynomial, and PLib_HermitJacobi.

◆ D3()

virtual void PLib_Base::D3	(	const Standard_Real	U,
		TColStd_Array1OfReal &	BasisValue,
		TColStd_Array1OfReal &	BasisD1,
		TColStd_Array1OfReal &	BasisD2,
		TColStd_Array1OfReal &	BasisD3
	)

pure virtual

Compute the values and the derivatives values of the basis functions in u.

Implemented in PLib_JacobiPolynomial, and PLib_HermitJacobi.

◆ ReduceDegree()

virtual void PLib_Base::ReduceDegree	(	const Standard_Integer	Dimension,
		const Standard_Integer	MaxDegree,
		const Standard_Real	Tol,
		Standard_Real &	BaseCoeff,
		Standard_Integer &	NewDegree,
		Standard_Real &	MaxError
	)		const

pure virtual

Compute NewDegree <= MaxDegree so that MaxError is lower than Tol. MaxError can be greater than Tol if it is not possible to find a NewDegree <= MaxDegree. In this case NewDegree = MaxDegree.

Implemented in PLib_JacobiPolynomial, and PLib_HermitJacobi.

◆ ToCoefficients()

virtual void PLib_Base::ToCoefficients	(	const Standard_Integer	Dimension,
		const Standard_Integer	Degree,
		const TColStd_Array1OfReal &	CoeffinBase,
		TColStd_Array1OfReal &	Coefficients
	)		const