Open CASCADE Technology 7.8.2.dev
PLib_Base Class Referenceabstract

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.
 
virtual void D0 (const Standard_Real U, TColStd_Array1OfReal &BasisValue)=0
 Compute the values of the basis functions in u.
 
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.
 
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.
 
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.
 
virtual Standard_Integer WorkDegree () const =0
 returns WorkDegree
 
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.
 
- Public Member Functions inherited from Standard_Transient
 Standard_Transient ()
 Empty constructor.
 
 Standard_Transient (const Standard_Transient &)
 Copy constructor – does nothing.
 
Standard_Transientoperator= (const Standard_Transient &)
 Assignment operator, needed to avoid copying reference counter.
 
virtual ~Standard_Transient ()
 Destructor must be virtual.
 
virtual const opencascade::handle< Standard_Type > & DynamicType () const
 Returns a type descriptor about this object.
 
Standard_Boolean IsInstance (const opencascade::handle< Standard_Type > &theType) const
 Returns a true value if this is an instance of Type.
 
Standard_Boolean IsInstance (const Standard_CString theTypeName) const
 Returns a true value if this is an instance of TypeName.
 
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.
 
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.
 
Standard_TransientThis () 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.
 
Standard_Integer GetRefCount () const noexcept
 Get the reference counter of this object.
 
void IncrementRefCounter () noexcept
 Increments the reference counter of this object.
 
Standard_Integer DecrementRefCounter () noexcept
 Decrements the reference counter of this object; returns the decremented value.
 
virtual void Delete () const
 Memory deallocator for transient classes.
 

Additional Inherited Members

- Public Types inherited from Standard_Transient
typedef void base_type
 Returns a type descriptor about this object.
 
- Static Public Member Functions inherited from Standard_Transient
static constexpr const char * get_type_name ()
 Returns a type descriptor about this object.
 
static const opencascade::handle< Standard_Type > & get_type_descriptor ()
 Returns type descriptor of Standard_Transient class.
 

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_HermitJacobi, and PLib_JacobiPolynomial.

◆ 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_HermitJacobi, and PLib_JacobiPolynomial.

◆ 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_HermitJacobi, and PLib_JacobiPolynomial.

◆ 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_HermitJacobi, and PLib_JacobiPolynomial.

◆ 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_HermitJacobi, and PLib_JacobiPolynomial.

◆ ToCoefficients()

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

Convert the polynomial P(t) in the canonical base.

Implemented in PLib_HermitJacobi, and PLib_JacobiPolynomial.

◆ WorkDegree()

virtual Standard_Integer PLib_Base::WorkDegree ( ) const
pure virtual

returns WorkDegree

Implemented in PLib_HermitJacobi, and PLib_JacobiPolynomial.


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