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 // 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 _GeomGridEval_Torus_HeaderFile
 #define _GeomGridEval_Torus_HeaderFile
 
 #include <Geom_ToroidalSurface.hxx>
 #include <GeomGridEval.hxx>
 #include <gp_Pnt2d.hxx>
 #include <NCollection_Array1.hxx>
 #include <NCollection_Array2.hxx>
 #include <Standard.hxx>
 #include <Standard_DefineAlloc.hxx>
 
 //! @brief Efficient batch evaluator for torus grid points.
 //!
 //! Uses analytical formula:
 //! P(u,v) = Location + (MajorRadius + MinorRadius * cos(v)) * (cos(u) * XDir + sin(u) * YDir) +
 //! MinorRadius * sin(v) * ZDir
 //!
 //! Where U is major angle (0 to 2*PI) and V is minor angle (0 to 2*PI).
 //!
 //! Usage:
 //! @code
 //!   GeomGridEval_Torus anEvaluator(myGeomTorus);
 //!   NCollection_Array2<gp_Pnt> aGrid = anEvaluator.EvaluateGrid(myUParams, myVParams);
 //! @endcode
 class GeomGridEval_Torus
 {
 public:
   DEFINE_STANDARD_ALLOC
 
   //! Constructor with geometry.
   //! @param theTorus the toroidal surface geometry to evaluate
   GeomGridEval_Torus(const occ::handle<Geom_ToroidalSurface>& theTorus)
       : myGeom(theTorus)
   {
   }
 
   //! Non-copyable and non-movable.
   GeomGridEval_Torus(const GeomGridEval_Torus&)            = delete;
   GeomGridEval_Torus& operator=(const GeomGridEval_Torus&) = delete;
   GeomGridEval_Torus(GeomGridEval_Torus&&)                 = delete;
   GeomGridEval_Torus& operator=(GeomGridEval_Torus&&)      = delete;
 
   //! Returns the geometry handle.
   const occ::handle<Geom_ToroidalSurface>& Geometry() const { return myGeom; }
 
   //! Evaluate grid points at Cartesian product of U and V parameters.
   //! @param theUParams array of U parameter values (major angle)
   //! @param theVParams array of V parameter values (minor angle)
   //! @return 2D array of evaluated points (1-based indexing)
   Standard_EXPORT NCollection_Array2<gp_Pnt> EvaluateGrid(
     const NCollection_Array1<double>& theUParams,
     const NCollection_Array1<double>& theVParams) const;
 
   //! Evaluate grid points with first partial derivatives.
   //! @param theUParams array of U parameter values (major angle)
   //! @param theVParams array of V parameter values (minor angle)
   //! @return 2D array of SurfD1 (1-based indexing)
   Standard_EXPORT NCollection_Array2<GeomGridEval::SurfD1> EvaluateGridD1(
     const NCollection_Array1<double>& theUParams,
     const NCollection_Array1<double>& theVParams) const;
 
   //! Evaluate grid points with first and second partial derivatives.
   //! @param theUParams array of U parameter values (major angle)
   //! @param theVParams array of V parameter values (minor angle)
   //! @return 2D array of SurfD2 (1-based indexing)
   Standard_EXPORT NCollection_Array2<GeomGridEval::SurfD2> EvaluateGridD2(
     const NCollection_Array1<double>& theUParams,
     const NCollection_Array1<double>& theVParams) const;
 
   //! Evaluate grid points with derivatives up to third order.
   //! @param theUParams array of U parameter values (major angle)
   //! @param theVParams array of V parameter values (minor angle)
   //! @return 2D array of SurfD3 (1-based indexing)
   Standard_EXPORT NCollection_Array2<GeomGridEval::SurfD3> EvaluateGridD3(
     const NCollection_Array1<double>& theUParams,
     const NCollection_Array1<double>& theVParams) const;
 
   //! Evaluate partial derivative d^(NU+NV)S/(dU^NU dV^NV) at all grid points.
   //! For orders 1-3, reuses EvaluateGridD1/D2/D3.
   //! For orders > 3, uses geometry DN method.
   //! @param theUParams array of U parameter values (major angle)
   //! @param theVParams array of V parameter values (minor angle)
   //! @param theNU derivative order in U direction
   //! @param theNV derivative order in V direction
   //! @return 2D array of derivative vectors (1-based indexing)
   Standard_EXPORT NCollection_Array2<gp_Vec> EvaluateGridDN(
     const NCollection_Array1<double>& theUParams,
     const NCollection_Array1<double>& theVParams,
     int                               theNU,
     int                               theNV) const;
 
 private:
   //! Pre-extracted torus data for efficient evaluation.
   struct Data
   {
     double CX, CY, CZ;  //!< Center coordinates
     double XX, XY, XZ;  //!< XDir coordinates
     double YX, YY, YZ;  //!< YDir coordinates
     double ZX, ZY, ZZ;  //!< ZDir coordinates
     double MajorRadius; //!< Major radius
     double MinorRadius; //!< Minor radius
   };
 
   //! Pre-computed U-dependent values for optimized grid evaluation.
   struct UContext
   {
     double cosU, sinU;
     double dirUX, dirUY, dirUZ;    //!< DirU = cosU*XDir + sinU*YDir
     double dDirUX, dDirUY, dDirUZ; //!< DerivDirU = -sinU*XDir + cosU*YDir
   };
 
   //! Extract torus data for evaluation.
   Data extractData() const;
 
   //! Pre-compute U-dependent values.
   static UContext computeUContext(const Data& theData, double theU);
 
   //! Compute point with pre-computed U context.
   static gp_Pnt computeD0(const Data& theData, const UContext& theUCtx, double theV);
 
   //! Compute point with D1 with pre-computed U context.
   static GeomGridEval::SurfD1 computeD1(const Data& theData, const UContext& theUCtx, double theV);
 
   //! Compute point with D2 with pre-computed U context.
   static GeomGridEval::SurfD2 computeD2(const Data& theData, const UContext& theUCtx, double theV);
 
   //! Compute point with D3 with pre-computed U context.
   static GeomGridEval::SurfD3 computeD3(const Data& theData, const UContext& theUCtx, double theV);
 
   //! Compute DN with pre-computed U context.
   static gp_Vec computeDN(const Data&     theData,
                           const UContext& theUCtx,
                           double          theV,
                           int             theNU,
                           int             theNV);
 
   occ::handle<Geom_ToroidalSurface> myGeom;
 };
 
 #endif // _GeomGridEval_Torus_HeaderFile

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