// 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 _ExtremaPC_BSplineCurve_HeaderFile #define _ExtremaPC_BSplineCurve_HeaderFile #include "ExtremaPC.hxx" #include "ExtremaPC_GridEvaluator.hxx" #include "GeomAdaptor_Curve.hxx" #include "Geom_BSplineCurve.hxx" #include "gp_Pnt.hxx" #include "NCollection_Array1.hxx" #include "Standard_DefineAlloc.hxx" #include "Standard_Handle.hxx" #include "math_Vector.hxx" //! @brief Point-BSplineCurve extrema computation using grid-based approach. //! //! Computes the extrema between a 3D point and a BSpline curve using //! a grid-based approach with Newton refinement. //! //! The grid is cached for efficiency when performing multiple queries //! with the same parameter domain. //! //! The algorithm: //! 1. Build knot-aware grid with 2*(degree + 1) samples per knot span using GeomGridEval //! 2. Linear scan of grid to find candidate intervals (sign changes in F(u)) //! 3. Newton refinement on each candidate interval //! //! This approach is simpler and more stable than BVH-based methods, //! with comparable accuracy for typical BSpline curves. //! //! The domain is fixed at construction time and the grid is built eagerly //! for optimal performance with multiple queries. class ExtremaPC_BSplineCurve { public: DEFINE_STANDARD_ALLOC //! Constructor with BSpline curve (uses full curve domain). //! Grid is built eagerly at construction time. //! @param[in] theCurve BSpline curve handle Standard_EXPORT explicit ExtremaPC_BSplineCurve(const occ::handle& theCurve); //! Constructor with BSpline curve and parameter domain. //! Grid is built eagerly at construction time for the specified domain. //! @param[in] theCurve BSpline curve handle //! @param[in] theDomain parameter domain (fixed for all queries) Standard_EXPORT ExtremaPC_BSplineCurve(const occ::handle& theCurve, const ExtremaPC::Domain1D& theDomain); //! Copy constructor is deleted. ExtremaPC_BSplineCurve(const ExtremaPC_BSplineCurve&) = delete; //! Copy assignment operator is deleted. ExtremaPC_BSplineCurve& operator=(const ExtremaPC_BSplineCurve&) = delete; //! Move constructor. ExtremaPC_BSplineCurve(ExtremaPC_BSplineCurve&&) = default; //! Move assignment operator. ExtremaPC_BSplineCurve& operator=(ExtremaPC_BSplineCurve&&) = default; //! Evaluates point on curve at parameter. //! @param theU parameter //! @return point on curve Standard_EXPORT gp_Pnt Value(double theU) const; //! Returns true if domain is bounded (subset of curve domain). bool IsBounded() const { return true; } // BSpline curves are always bounded //! Returns the domain. const ExtremaPC::Domain1D& Domain() const { return myDomain; } //! Compute extrema between point P and the curve. //! Uses domain specified at construction time. //! @param theP query point //! @param theTol tolerance for root finding //! @param theMode search mode (MinMax, Min, or Max) //! @return const reference to result containing extrema [[nodiscard]] Standard_EXPORT const ExtremaPC::Result& Perform( const gp_Pnt& theP, double theTol, ExtremaPC::SearchMode theMode = ExtremaPC::SearchMode::MinMax) const; //! Compute extrema between point P and the curve including endpoints. //! Uses domain specified at construction time. //! @param theP query point //! @param theTol tolerance for root finding //! @param theMode search mode (MinMax, Min, or Max) //! @return const reference to result containing interior + endpoint extrema [[nodiscard]] Standard_EXPORT const ExtremaPC::Result& PerformWithEndpoints( const gp_Pnt& theP, double theTol, ExtremaPC::SearchMode theMode = ExtremaPC::SearchMode::MinMax) const; //! Returns the BSpline curve. const occ::handle& Curve() const { return myCurve; } private: //! Build knot-aware parameter array for grid sampling. //! Places samples at knots and (degree + 1) intermediate points per span. //! @return array of parameter values for grid sampling math_Vector buildKnotAwareParams() const; //! Build grid for the curve. void buildGrid(); occ::handle myCurve; //!< BSpline curve GeomAdaptor_Curve myAdaptor; //!< Curve adaptor ExtremaPC::Domain1D myDomain; //!< Parameter domain (fixed) // Grid evaluator with cached state (grid, result, temporary vectors) mutable ExtremaPC_GridEvaluator myEvaluator; }; #endif // _ExtremaPC_BSplineCurve_HeaderFile