EIC code displayed by LXR master/​include/​opencascade/​GeomEval_TBezierSurface.hxx	Source navigation Diff markup Identifier search General search
	Version: master test Revert   Change

File indexing completed on 2026-09-28 09:20:09

 // Copyright (c) 2025 OPEN CASCADE SAS
 //
 // This file is part of Open CASCADE Technology software library.
 //
 // This library is free software; you can redistribute it and/or modify it under
 // the terms of the GNU Lesser General Public License version 2.1 as published
 // by the Free Software Foundation, with special exception defined in the file
 // OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT
 // distribution for complete text of the license and disclaimer of any warranty.
 //
 // Alternatively, this file may be used under the terms of Open CASCADE
 // commercial license or contractual agreement.
 
 #ifndef _GeomEval_TBezierSurface_HeaderFile
 #define _GeomEval_TBezierSurface_HeaderFile
 
 #include <Geom_BoundedSurface.hxx>
 #include <NCollection_Array1.hxx>
 #include <NCollection_Array2.hxx>
 #include <gp_Pnt.hxx>
 
 class gp_Trsf;
 class Geom_Geometry;
 class Geom_Curve;
 
 //! Tensor-product Trigonometric Bezier surface.
 //! Uses trigonometric Bernstein-like bases in both U and V directions
 //! over the space {1, sin(alpha*t), cos(alpha*t), ..., sin(n*alpha*t), cos(n*alpha*t)}.
 //!
 //! Parameter domain: U in [0, Pi/alphaU], V in [0, Pi/alphaV].
 //! Number of control points: (2*nU + 1) x (2*nV + 1) for orders nU, nV.
 //!
 //! The surface is:
 //! @code
 //!   S(u,v) = sum_i sum_j P_ij * Bu_i(u) * Bv_j(v)
 //! @endcode
 //! where Bu_i and Bv_j are trigonometric basis functions in U and V respectively.
 //!
 //! For rational surfaces:
 //! @code
 //!   S(u,v) = sum_i sum_j (w_ij * P_ij * Bu_i(u) * Bv_j(v))
 //!          / sum_i sum_j (w_ij * Bu_i(u) * Bv_j(v))
 //! @endcode
 class GeomEval_TBezierSurface : public Geom_BoundedSurface
 {
 public:
   //! Constructs a non-rational T-Bezier surface from poles and alpha parameters.
   //! @param[in] thePoles control points grid (row count and col count must be odd >= 3)
   //! @param[in] theAlphaU frequency parameter in U direction (must be > 0)
   //! @param[in] theAlphaV frequency parameter in V direction (must be > 0)
   //! @throw Standard_ConstructionError if validation fails
   Standard_EXPORT GeomEval_TBezierSurface(const NCollection_Array2<gp_Pnt>& thePoles,
                                           double                            theAlphaU,
                                           double                            theAlphaV);
 
   //! Constructs a rational T-Bezier surface.
   //! @param[in] thePoles control points grid
   //! @param[in] theWeights weights grid (same dimensions as poles, all > 0)
   //! @param[in] theAlphaU frequency parameter in U direction (must be > 0)
   //! @param[in] theAlphaV frequency parameter in V direction (must be > 0)
   //! @throw Standard_ConstructionError if validation fails
   Standard_EXPORT GeomEval_TBezierSurface(const NCollection_Array2<gp_Pnt>& thePoles,
                                           const NCollection_Array2<double>& theWeights,
                                           double                            theAlphaU,
                                           double                            theAlphaV);
 
   //! Returns the poles grid.
   Standard_EXPORT const NCollection_Array2<gp_Pnt>& Poles() const;
 
   //! Returns the weights grid (empty if non-rational).
   Standard_EXPORT const NCollection_Array2<double>& Weights() const;
 
   //! Returns the frequency parameter alpha in the U direction.
   Standard_EXPORT double AlphaU() const;
 
   //! Returns the frequency parameter alpha in the V direction.
   Standard_EXPORT double AlphaV() const;
 
   //! Returns the number of poles in the U direction.
   Standard_EXPORT int NbUPoles() const;
 
   //! Returns the number of poles in the V direction.
   Standard_EXPORT int NbVPoles() const;
 
   //! Returns the trigonometric order in U (NbUPoles = 2*nU + 1).
   Standard_EXPORT int OrderU() const;
 
   //! Returns the trigonometric order in V (NbVPoles = 2*nV + 1).
   Standard_EXPORT int OrderV() const;
 
   //! Returns true if the surface is rational.
   Standard_EXPORT bool IsRational() const;
 
   // -- Geom_Surface interface --
 
   //! Reversal is not supported for this eval surface.
   //! @throw Standard_NotImplemented
   Standard_EXPORT void UReverse() final;
 
   //! Reversal is not supported for this eval surface.
   //! @throw Standard_NotImplemented
   Standard_EXPORT double UReversedParameter(const double U) const final;
 
   //! Reversal is not supported for this eval surface.
   //! @throw Standard_NotImplemented
   Standard_EXPORT void VReverse() final;
 
   //! Reversal is not supported for this eval surface.
   //! @throw Standard_NotImplemented
   Standard_EXPORT double VReversedParameter(const double V) const final;
 
   //! Returns the parametric bounds.
   //! @param[out] U1 lower U bound (0)
   //! @param[out] U2 upper U bound (Pi/alphaU)
   //! @param[out] V1 lower V bound (0)
   //! @param[out] V2 upper V bound (Pi/alphaV)
   Standard_EXPORT void Bounds(double& U1, double& U2, double& V1, double& V2) const final;
 
   //! Returns true if the surface is closed in U.
   Standard_EXPORT bool IsUClosed() const final;
 
   //! Returns true if the surface is closed in V.
   Standard_EXPORT bool IsVClosed() const final;
 
   //! Returns false. T-Bezier surfaces are not periodic in U.
   Standard_EXPORT bool IsUPeriodic() const final;
 
   //! Returns false. T-Bezier surfaces are not periodic in V.
   Standard_EXPORT bool IsVPeriodic() const final;
 
   //! Returns GeomAbs_CN. T-Bezier surfaces are infinitely differentiable.
   Standard_EXPORT GeomAbs_Shape Continuity() const final;
 
   //! Returns true for all N. T-Bezier surfaces are infinitely differentiable in U.
   Standard_EXPORT bool IsCNu(const int N) const final;
 
   //! Returns true for all N. T-Bezier surfaces are infinitely differentiable in V.
   Standard_EXPORT bool IsCNv(const int N) const final;
 
   //! Isoparametric curve extraction is not supported for this eval surface.
   //! @throw Standard_NotImplemented
   Standard_EXPORT occ::handle<Geom_Curve> UIso(const double U) const final;
 
   //! Isoparametric curve extraction is not supported for this eval surface.
   //! @throw Standard_NotImplemented
   Standard_EXPORT occ::handle<Geom_Curve> VIso(const double V) const final;
 
   //! Computes the point S(U, V).
   Standard_EXPORT gp_Pnt EvalD0(const double U, const double V) const final;
 
   //! Computes the point and first partial derivatives at (U, V).
   Standard_EXPORT Geom_Surface::ResD1 EvalD1(const double U, const double V) const final;
 
   //! Computes the point and partial derivatives up to 2nd order at (U, V).
   Standard_EXPORT Geom_Surface::ResD2 EvalD2(const double U, const double V) const final;
 
   //! Computes the point and partial derivatives up to 3rd order at (U, V).
   Standard_EXPORT Geom_Surface::ResD3 EvalD3(const double U, const double V) const final;
 
   //! Computes the derivative of order Nu in U and Nv in V.
   //! @param[in] U the u parameter
   //! @param[in] V the v parameter
   //! @param[in] Nu derivative order in U (must be >= 0)
   //! @param[in] Nv derivative order in V (must be >= 0)
   //! @return the derivative vector
   //! @throw Standard_RangeError if Nu + Nv < 1 or Nu < 0 or Nv < 0
   Standard_EXPORT gp_Vec EvalDN(const double U,
                                 const double V,
                                 const int    Nu,
                                 const int    Nv) const final;
 
   //! Transformation is not supported for this eval geometry.
   //! @throw Standard_NotImplemented
   Standard_EXPORT void Transform(const gp_Trsf& T) final;
 
   //! Creates a new object which is a copy of this T-Bezier surface.
   Standard_EXPORT occ::handle<Geom_Geometry> Copy() const final;
 
   //! Dumps the content of me into the stream.
   Standard_EXPORT void DumpJson(Standard_OStream& theOStream, int theDepth = -1) const final;
 
   DEFINE_STANDARD_RTTIEXT(GeomEval_TBezierSurface, Geom_BoundedSurface)
 
 private:
   //! Evaluate trigonometric basis functions in U at parameter theU.
   void evalBasisU(double theU, NCollection_Array1<double>& theBasis) const;
 
   //! Evaluate trigonometric basis functions in V at parameter theV.
   void evalBasisV(double theV, NCollection_Array1<double>& theBasis) const;
 
   //! Evaluate derivative of order theOrder of U-basis functions at theU.
   void evalBasisDerivU(double theU, int theOrder, NCollection_Array1<double>& theBasisDeriv) const;
 
   //! Evaluate derivative of order theOrder of V-basis functions at theV.
   void evalBasisDerivV(double theV, int theOrder, NCollection_Array1<double>& theBasisDeriv) const;
 
   //! Helper: evaluate a single trigonometric basis array for given alpha.
   static void evalTrigBasis(double                      theT,
                             double                      theAlpha,
                             int                         theOrder,
                             NCollection_Array1<double>& theBasis);
 
   //! Helper: evaluate derivative of trigonometric basis for given alpha.
   static void evalTrigBasisDeriv(double                      theT,
                                  double                      theAlpha,
                                  int                         theOrder,
                                  int                         theDerivOrder,
                                  NCollection_Array1<double>& theBasisDeriv);
 
   NCollection_Array2<gp_Pnt> myPoles;    //!< Control points grid
   NCollection_Array2<double> myWeights;  //!< Weights grid (empty if non-rational)
   double                     myAlphaU;   //!< Frequency parameter in U
   double                     myAlphaV;   //!< Frequency parameter in V
   bool                       myRational; //!< True if surface is rational
 };
 
 #endif // _GeomEval_TBezierSurface_HeaderFile

This page was automatically generated by the 2.3.7 LXR engine. The LXR team