liboce-foundation-dev 0.17.2-2 / usr / include / oce / PLib_HermitJacobi.hxx

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// This file is generated by WOK (CPPExt).
// Please do not edit this file; modify original file instead.
// The copyright and license terms as defined for the original file apply to 
// this header file considered to be the "object code" form of the original source.

#ifndef _PLib_HermitJacobi_HeaderFile
#define _PLib_HermitJacobi_HeaderFile

#include <Standard.hxx>
#include <Standard_DefineHandle.hxx>
#include <Handle_PLib_HermitJacobi.hxx>

#include <math_Matrix.hxx>
#include <Handle_PLib_JacobiPolynomial.hxx>
#include <TColStd_Array1OfReal.hxx>
#include <PLib_Base.hxx>
#include <Standard_Integer.hxx>
#include <GeomAbs_Shape.hxx>
#include <Standard_Real.hxx>
class PLib_JacobiPolynomial;
class Standard_ConstructionError;
class TColStd_Array1OfReal;


//! This class provides method  to work with Jacobi Polynomials
//! relativly to an order of constraint
//! q = myWorkDegree-2*(myNivConstr+1)
//! Jk(t) for k=0,q compose the Jacobi Polynomial base relativly to the weigth W(t)
//! iorder is the integer  value for the constraints:
//! iorder = 0 <=> ConstraintOrder = GeomAbs_C0
//! iorder = 1 <=> ConstraintOrder = GeomAbs_C1
//! iorder = 2 <=> ConstraintOrder = GeomAbs_C2
//! P(t) = H(t) + W(t) * Q(t) Where W(t) = (1-t**2)**(2*iordre+2)
//! the coefficients JacCoeff represents P(t) JacCoeff are stored as follow:
//!
//! c0(1)      c0(2) ....       c0(Dimension)
//! c1(1)      c1(2) ....       c1(Dimension)
//!
//! cDegree(1) cDegree(2) ....  cDegree(Dimension)
//!
//! The coefficients
//! c0(1)                  c0(2) ....            c0(Dimension)
//! c2*ordre+1(1)                ...          c2*ordre+1(dimension)
//!
//! represents the  part  of the polynomial in  the
//! Hermit's base: H(t)
//! H(t) = c0H00(t) + c1H01(t) + ...c(iordre)H(0 ;iorder)+ c(iordre+1)H10(t)+...
//! The following coefficients represents the part of the
//! polynomial in the Jacobi base ie Q(t)
//! Q(t) = c2*iordre+2  J0(t) + ...+ cDegree JDegree-2*iordre-2
class PLib_HermitJacobi : public PLib_Base
{

public:

  

  //! Initialize the polynomial class
  //! Degree has to be <= 30
  //! ConstraintOrder has to be GeomAbs_C0
  //! GeomAbs_C1
  //! GeomAbs_C2
  Standard_EXPORT PLib_HermitJacobi(const Standard_Integer WorkDegree, const GeomAbs_Shape ConstraintOrder);
  

  //! This  method computes the  maximum  error on the polynomial
  //! W(t) Q(t) obtained by missing the coefficients of JacCoeff from
  //! NewDegree +1 to Degree
  Standard_EXPORT   Standard_Real MaxError (const Standard_Integer Dimension, Standard_Real& HermJacCoeff, const Standard_Integer NewDegree)  const;
  

  //! 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
  Standard_EXPORT   void ReduceDegree (const Standard_Integer Dimension, const Standard_Integer MaxDegree, const Standard_Real Tol, Standard_Real& HermJacCoeff, Standard_Integer& NewDegree, Standard_Real& MaxError)  const;
  
  Standard_EXPORT   Standard_Real AverageError (const Standard_Integer Dimension, Standard_Real& HermJacCoeff, const Standard_Integer NewDegree)  const;
  

  //! Convert the polynomial P(t) = H(t) + W(t) Q(t) in the canonical base.
  Standard_EXPORT   void ToCoefficients (const Standard_Integer Dimension, const Standard_Integer Degree, const TColStd_Array1OfReal& HermJacCoeff, TColStd_Array1OfReal& Coefficients)  const;
  
  //! Compute the values of the basis functions in u
  Standard_EXPORT   void D0 (const Standard_Real U, TColStd_Array1OfReal& BasisValue) ;
  
  //! Compute the values and the derivatives values of
  //! the basis functions in u
  Standard_EXPORT   void D1 (const Standard_Real U, TColStd_Array1OfReal& BasisValue, TColStd_Array1OfReal& BasisD1) ;
  
  //! Compute the values and the derivatives values of
  //! the basis functions in u
  Standard_EXPORT   void D2 (const Standard_Real U, TColStd_Array1OfReal& BasisValue, TColStd_Array1OfReal& BasisD1, TColStd_Array1OfReal& BasisD2) ;
  
  //! Compute the values and the derivatives values of
  //! the basis functions in u
  Standard_EXPORT   void D3 (const Standard_Real U, TColStd_Array1OfReal& BasisValue, TColStd_Array1OfReal& BasisD1, TColStd_Array1OfReal& BasisD2, TColStd_Array1OfReal& BasisD3) ;
  
  //! returns WorkDegree
      Standard_Integer WorkDegree()  const;
  
  //! returns NivConstr
      Standard_Integer NivConstr()  const;




  DEFINE_STANDARD_RTTI(PLib_HermitJacobi)

protected:




private: 

  
  //! Compute the values and the derivatives values of
  //! the basis functions in u
  Standard_EXPORT   void D0123 (const Standard_Integer NDerive, const Standard_Real U, TColStd_Array1OfReal& BasisValue, TColStd_Array1OfReal& BasisD1, TColStd_Array1OfReal& BasisD2, TColStd_Array1OfReal& BasisD3) ;

  math_Matrix myH;
  Handle(PLib_JacobiPolynomial) myJacobi;
  TColStd_Array1OfReal myWCoeff;


};


#include <PLib_HermitJacobi.lxx>





#endif // _PLib_HermitJacobi_HeaderFile

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