// Created on: 1995-01-27 // Created by: Jacques GOUSSARD // Copyright (c) 1995-1999 Matra Datavision // Copyright (c) 1999-2014 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 _GeomInt_TheComputeLineOfWLApprox_HeaderFile #define _GeomInt_TheComputeLineOfWLApprox_HeaderFile #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include class GeomInt_TheMultiLineOfWLApprox; class GeomInt_TheMultiLineToolOfWLApprox; class GeomInt_MyBSplGradientOfTheComputeLineOfWLApprox; class GeomInt_BSpParLeastSquareOfMyBSplGradientOfTheComputeLineOfWLApprox; class GeomInt_BSpParFunctionOfMyBSplGradientOfTheComputeLineOfWLApprox; class GeomInt_BSpGradient_BFGSOfMyBSplGradientOfTheComputeLineOfWLApprox; class GeomInt_MyGradientbisOfTheComputeLineOfWLApprox; class GeomInt_ParLeastSquareOfMyGradientbisOfTheComputeLineOfWLApprox; class GeomInt_ResConstraintOfMyGradientbisOfTheComputeLineOfWLApprox; class GeomInt_ParFunctionOfMyGradientbisOfTheComputeLineOfWLApprox; class GeomInt_Gradient_BFGSOfMyGradientbisOfTheComputeLineOfWLApprox; class AppParCurves_MultiBSpCurve; class AppParCurves_MultiCurve; class GeomInt_TheComputeLineOfWLApprox { public: DEFINE_STANDARD_ALLOC //! The MultiLine will be approximated until tolerances //! will be reached. //! The approximation will be done from degreemin to degreemax //! with a cutting if the corresponding boolean is True. //! If is True, the computation will be done with //! no iteration at all. //! //! The multiplicities of the internal knots is set by //! default. Standard_EXPORT GeomInt_TheComputeLineOfWLApprox(const GeomInt_TheMultiLineOfWLApprox& Line, const Standard_Integer degreemin = 4, const Standard_Integer degreemax = 8, const Standard_Real Tolerance3d = 1.0e-3, const Standard_Real Tolerance2d = 1.0e-6, const Standard_Integer NbIterations = 5, const Standard_Boolean cutting = Standard_True, const Approx_ParametrizationType parametrization = Approx_ChordLength, const Standard_Boolean Squares = Standard_False); //! The MultiLine will be approximated until tolerances //! will be reached. //! The approximation will be done from degreemin to degreemax //! with a cutting if the corresponding boolean is True. //! If is True, the computation will be done with //! no iteration at all. Standard_EXPORT GeomInt_TheComputeLineOfWLApprox(const GeomInt_TheMultiLineOfWLApprox& Line, const math_Vector& Parameters, const Standard_Integer degreemin = 4, const Standard_Integer degreemax = 8, const Standard_Real Tolerance3d = 1.0e-03, const Standard_Real Tolerance2d = 1.0e-06, const Standard_Integer NbIterations = 5, const Standard_Boolean cutting = Standard_True, const Standard_Boolean Squares = Standard_False); //! Initializes the fields of the algorithm. Standard_EXPORT GeomInt_TheComputeLineOfWLApprox(const math_Vector& Parameters, const Standard_Integer degreemin = 4, const Standard_Integer degreemax = 8, const Standard_Real Tolerance3d = 1.0e-03, const Standard_Real Tolerance2d = 1.0e-06, const Standard_Integer NbIterations = 5, const Standard_Boolean cutting = Standard_True, const Standard_Boolean Squares = Standard_False); //! Initializes the fields of the algorithm. Standard_EXPORT GeomInt_TheComputeLineOfWLApprox(const Standard_Integer degreemin = 4, const Standard_Integer degreemax = 8, const Standard_Real Tolerance3d = 1.0e-03, const Standard_Real Tolerance2d = 1.0e-06, const Standard_Integer NbIterations = 5, const Standard_Boolean cutting = Standard_True, const Approx_ParametrizationType parametrization = Approx_ChordLength, const Standard_Boolean Squares = Standard_False); //! Constructs an interpolation of the MultiLine //! The result will be a C2 curve of degree 3. Standard_EXPORT void Interpol (const GeomInt_TheMultiLineOfWLApprox& Line); //! Initializes the fields of the algorithm. Standard_EXPORT void Init (const Standard_Integer degreemin = 4, const Standard_Integer degreemax = 8, const Standard_Real Tolerance3d = 1.0e-03, const Standard_Real Tolerance2d = 1.0e-06, const Standard_Integer NbIterations = 5, const Standard_Boolean cutting = Standard_True, const Approx_ParametrizationType parametrization = Approx_ChordLength, const Standard_Boolean Squares = Standard_False); //! runs the algorithm after having initialized the fields. Standard_EXPORT void Perform (const GeomInt_TheMultiLineOfWLApprox& Line); //! The approximation will begin with the //! set of parameters . Standard_EXPORT void SetParameters (const math_Vector& ThePar); //! The approximation will be done with the //! set of knots . The multiplicities will be set //! with the degree and the desired continuity. Standard_EXPORT void SetKnots (const TColStd_Array1OfReal& Knots); //! The approximation will be done with the //! set of knots and the multiplicities . Standard_EXPORT void SetKnotsAndMultiplicities (const TColStd_Array1OfReal& Knots, const TColStd_Array1OfInteger& Mults); //! changes the degrees of the approximation. Standard_EXPORT void SetDegrees (const Standard_Integer degreemin, const Standard_Integer degreemax); //! Changes the tolerances of the approximation. Standard_EXPORT void SetTolerances (const Standard_Real Tolerance3d, const Standard_Real Tolerance2d); //! sets the continuity of the spline. //! if C = 2, the spline will be C2. Standard_EXPORT void SetContinuity (const Standard_Integer C); //! changes the first and the last constraint points. Standard_EXPORT void SetConstraints (const AppParCurves_Constraint firstC, const AppParCurves_Constraint lastC); //! Sets periodic flag. //! If thePeriodic = Standard_True, algorith tries to build periodic //! multicurve using corresponding C1 boundary condition for first and last multipoints. //! Multiline must be closed. Standard_EXPORT void SetPeriodic(const Standard_Boolean thePeriodic); //! returns False if at a moment of the approximation, //! the status NoApproximation has been sent by the user //! when more points were needed. Standard_EXPORT Standard_Boolean IsAllApproximated() const; //! returns False if the status NoPointsAdded has been sent. Standard_EXPORT Standard_Boolean IsToleranceReached() const; //! returns the tolerances 2d and 3d of the MultiBSpCurve. Standard_EXPORT void Error (Standard_Real& tol3d, Standard_Real& tol2d) const; //! returns the result of the approximation. Standard_EXPORT const AppParCurves_MultiBSpCurve& Value() const; //! returns the result of the approximation. Standard_EXPORT AppParCurves_MultiBSpCurve& ChangeValue(); //! returns the new parameters of the approximation //! corresponding to the points of the MultiBSpCurve. Standard_EXPORT const TColStd_Array1OfReal& Parameters() const; protected: private: //! is internally used in the algorithm. Standard_EXPORT Standard_Boolean Compute (const GeomInt_TheMultiLineOfWLApprox& Line, const Standard_Integer fpt, const Standard_Integer lpt, math_Vector& Para, const TColStd_Array1OfReal& Knots, TColStd_Array1OfInteger& Mults); //! is internally used in the algorithm. Standard_EXPORT Standard_Boolean ComputeCurve (const GeomInt_TheMultiLineOfWLApprox& Line, const Standard_Integer firspt, const Standard_Integer lastpt); //! computes new parameters between firstP and lastP. Standard_EXPORT void Parameters (const GeomInt_TheMultiLineOfWLApprox& Line, const Standard_Integer firstP, const Standard_Integer LastP, math_Vector& TheParameters) const; Standard_EXPORT Standard_Real SearchFirstLambda (const GeomInt_TheMultiLineOfWLApprox& Line, const math_Vector& Para, const TColStd_Array1OfReal& Knots, const math_Vector& V, const Standard_Integer index) const; Standard_EXPORT Standard_Real SearchLastLambda (const GeomInt_TheMultiLineOfWLApprox& Line, const math_Vector& Para, const TColStd_Array1OfReal& Knots, const math_Vector& V, const Standard_Integer index) const; Standard_EXPORT void TangencyVector (const GeomInt_TheMultiLineOfWLApprox& Line, const AppParCurves_MultiCurve& C, const Standard_Real U, math_Vector& V) const; Standard_EXPORT void FirstTangencyVector (const GeomInt_TheMultiLineOfWLApprox& Line, const Standard_Integer index, math_Vector& V) const; Standard_EXPORT void LastTangencyVector (const GeomInt_TheMultiLineOfWLApprox& Line, const Standard_Integer index, math_Vector& V) const; Standard_EXPORT void FindRealConstraints (const GeomInt_TheMultiLineOfWLApprox& Line); AppParCurves_MultiBSpCurve TheMultiBSpCurve; Standard_Boolean alldone; Standard_Boolean tolreached; Approx_ParametrizationType Par; Handle(TColStd_HArray1OfReal) myParameters; Handle(TColStd_HArray1OfReal) myfirstParam; Handle(TColStd_HArray1OfReal) myknots; Handle(TColStd_HArray1OfInteger) mymults; Standard_Boolean myhasknots; Standard_Boolean myhasmults; Handle(AppParCurves_HArray1OfConstraintCouple) myConstraints; Standard_Integer mydegremin; Standard_Integer mydegremax; Standard_Real mytol3d; Standard_Real mytol2d; Standard_Real currenttol3d; Standard_Real currenttol2d; Standard_Boolean mycut; Standard_Boolean mysquares; Standard_Integer myitermax; AppParCurves_Constraint myfirstC; AppParCurves_Constraint mylastC; AppParCurves_Constraint realfirstC; AppParCurves_Constraint reallastC; Standard_Integer mycont; Standard_Real mylambda1; Standard_Real mylambda2; Standard_Boolean myPeriodic; }; #endif // _GeomInt_TheComputeLineOfWLApprox_HeaderFile