// 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 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& 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& 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 EvaluateGrid( const NCollection_Array1& theUParams, const NCollection_Array1& 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 EvaluateGridD1( const NCollection_Array1& theUParams, const NCollection_Array1& 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 EvaluateGridD2( const NCollection_Array1& theUParams, const NCollection_Array1& 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 EvaluateGridD3( const NCollection_Array1& theUParams, const NCollection_Array1& 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 EvaluateGridDN( const NCollection_Array1& theUParams, const NCollection_Array1& 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 myGeom; }; #endif // _GeomGridEval_Torus_HeaderFile