// Created on: 1996-05-14 // Created by: Philippe MANGIN / Jeannine PANCIATICI // Copyright (c) 1996-1999 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 _AppDef_Variational_HeaderFile #define _AppDef_Variational_HeaderFile #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include class AppDef_SmoothCriterion; class math_Matrix; class FEmTool_Curve; class FEmTool_Assembly; class PLib_Base; //! This class is used to smooth N points with constraints //! by minimization of quadratic criterium but also //! variational criterium in order to obtain " fair Curve " //! Computes the approximation of a Multiline by //! Variational optimization. class AppDef_Variational { public: DEFINE_STANDARD_ALLOC //! Constructor. //! Initialization of the fields. //! warning : Nc0 : number of PassagePoint consraints //! Nc2 : number of TangencyPoint constraints //! Nc3 : number of CurvaturePoint constraints //! if //! ((MaxDegree-Continuity)*MaxSegment -Nc0 - 2*Nc1 //! -3*Nc2) //! is negative //! The problem is over-constrained. //! //! Limitation : The MultiLine from AppDef has to be composed by //! only one Line ( Dimension 2 or 3). Standard_EXPORT AppDef_Variational(const AppDef_MultiLine& SSP, const Standard_Integer FirstPoint, const Standard_Integer LastPoint, const Handle(AppParCurves_HArray1OfConstraintCouple)& TheConstraints, const Standard_Integer MaxDegree = 14, const Standard_Integer MaxSegment = 100, const GeomAbs_Shape Continuity = GeomAbs_C2, const Standard_Boolean WithMinMax = Standard_False, const Standard_Boolean WithCutting = Standard_True, const Standard_Real Tolerance = 1.0, const Standard_Integer NbIterations = 2); //! Makes the approximation with the current fields. Standard_EXPORT void Approximate(); //! returns True if the creation is done //! and correspond to the current fields. Standard_EXPORT Standard_Boolean IsCreated() const; //! returns True if the approximation is ok //! and correspond to the current fields. Standard_EXPORT Standard_Boolean IsDone() const; //! returns True if the problem is overconstrained //! in this case, approximation cannot be done. Standard_EXPORT Standard_Boolean IsOverConstrained() const; //! returns all the BSpline curves approximating the //! MultiLine from AppDef SSP after minimization of the parameter. Standard_EXPORT AppParCurves_MultiBSpCurve Value() const; //! returns the maximum of the distances between //! the points of the multiline and the approximation //! curves. Standard_EXPORT Standard_Real MaxError() const; //! returns the index of the MultiPoint of ErrorMax Standard_EXPORT Standard_Integer MaxErrorIndex() const; //! returns the quadratic average of the distances between //! the points of the multiline and the approximation //! curves. Standard_EXPORT Standard_Real QuadraticError() const; //! returns the distances between the points of the //! multiline and the approximation curves. Standard_EXPORT void Distance (math_Matrix& mat); //! returns the average error between //! the MultiLine from AppDef and the approximation. Standard_EXPORT Standard_Real AverageError() const; //! returns the parameters uses to the approximations Standard_EXPORT const Handle(TColStd_HArray1OfReal)& Parameters() const; //! returns the knots uses to the approximations Standard_EXPORT const Handle(TColStd_HArray1OfReal)& Knots() const; //! returns the values of the quality criterium. Standard_EXPORT void Criterium (Standard_Real& VFirstOrder, Standard_Real& VSecondOrder, Standard_Real& VThirdOrder) const; //! returns the Weights (as percent) associed to the criterium used in //! the optimization. Standard_EXPORT void CriteriumWeight (Standard_Real& Percent1, Standard_Real& Percent2, Standard_Real& Percent3) const; //! returns the Maximum Degree used in the approximation Standard_EXPORT Standard_Integer MaxDegree() const; //! returns the Maximum of segment used in the approximation Standard_EXPORT Standard_Integer MaxSegment() const; //! returns the Continuity used in the approximation Standard_EXPORT GeomAbs_Shape Continuity() const; //! returns if the approximation search to minimize the //! maximum Error or not. Standard_EXPORT Standard_Boolean WithMinMax() const; //! returns if the approximation can insert new Knots or not. Standard_EXPORT Standard_Boolean WithCutting() const; //! returns the tolerance used in the approximation. Standard_EXPORT Standard_Real Tolerance() const; //! returns the number of iterations used in the approximation. Standard_EXPORT Standard_Integer NbIterations() const; //! Prints on the stream o information on the current state //! of the object. //! MaxError,MaxErrorIndex,AverageError,QuadraticError,Criterium //! Distances,Degre,Nombre de poles, parametres, noeuds Standard_EXPORT void Dump (Standard_OStream& o) const; //! Define the constraints to approximate //! If this value is incompatible with the others fields //! this method modify nothing and returns false Standard_EXPORT Standard_Boolean SetConstraints (const Handle(AppParCurves_HArray1OfConstraintCouple)& aConstrainst); //! Defines the parameters used by the approximations. Standard_EXPORT void SetParameters (const Handle(TColStd_HArray1OfReal)& param); //! Defines the knots used by the approximations //! If this value is incompatible with the others fields //! this method modify nothing and returns false Standard_EXPORT Standard_Boolean SetKnots (const Handle(TColStd_HArray1OfReal)& knots); //! Define the Maximum Degree used in the approximation //! If this value is incompatible with the others fields //! this method modify nothing and returns false Standard_EXPORT Standard_Boolean SetMaxDegree (const Standard_Integer Degree); //! Define the maximum number of segments used in the approximation //! If this value is incompatible with the others fields //! this method modify nothing and returns false Standard_EXPORT Standard_Boolean SetMaxSegment (const Standard_Integer NbSegment); //! Define the Continuity used in the approximation //! If this value is incompatible with the others fields //! this method modify nothing and returns false Standard_EXPORT Standard_Boolean SetContinuity (const GeomAbs_Shape C); //! Define if the approximation search to minimize the //! maximum Error or not. Standard_EXPORT void SetWithMinMax (const Standard_Boolean MinMax); //! Define if the approximation can insert new Knots or not. //! If this value is incompatible with the others fields //! this method modify nothing and returns false Standard_EXPORT Standard_Boolean SetWithCutting (const Standard_Boolean Cutting); //! define the Weights (as percent) associed to the criterium used in //! the optimization. //! //! if Percent <= 0 Standard_EXPORT void SetCriteriumWeight (const Standard_Real Percent1, const Standard_Real Percent2, const Standard_Real Percent3); //! define the Weight (as percent) associed to the //! criterium Order used in the optimization : Others //! weights are updated. //! if Percent < 0 //! if Order < 1 or Order > 3 Standard_EXPORT void SetCriteriumWeight (const Standard_Integer Order, const Standard_Real Percent); //! define the tolerance used in the approximation. Standard_EXPORT void SetTolerance (const Standard_Real Tol); //! define the number of iterations used in the approximation. //! if Iter < 1 Standard_EXPORT void SetNbIterations (const Standard_Integer Iter); protected: private: Standard_EXPORT void TheMotor (Handle(AppDef_SmoothCriterion)& J, const Standard_Real WQuadratic, const Standard_Real WQuality, Handle(FEmTool_Curve)& TheCurve, TColStd_Array1OfReal& Ecarts); Standard_EXPORT void Adjusting (Handle(AppDef_SmoothCriterion)& J, Standard_Real& WQuadratic, Standard_Real& WQuality, Handle(FEmTool_Curve)& TheCurve, TColStd_Array1OfReal& Ecarts); Standard_EXPORT void Optimization (Handle(AppDef_SmoothCriterion)& J, FEmTool_Assembly& A, const Standard_Boolean ToAssemble, const Standard_Real EpsDeg, Handle(FEmTool_Curve)& Curve, const TColStd_Array1OfReal& Parameters) const; Standard_EXPORT void Project (const Handle(FEmTool_Curve)& C, const TColStd_Array1OfReal& Ti, TColStd_Array1OfReal& ProjTi, TColStd_Array1OfReal& Distance, Standard_Integer& NumPoints, Standard_Real& MaxErr, Standard_Real& QuaErr, Standard_Real& AveErr, const Standard_Integer NbIterations = 2) const; Standard_EXPORT void ACR (Handle(FEmTool_Curve)& Curve, TColStd_Array1OfReal& Ti, const Standard_Integer Decima) const; Standard_EXPORT void SplitCurve (const Handle(FEmTool_Curve)& InCurve, const TColStd_Array1OfReal& Ti, const Standard_Real CurveTol, Handle(FEmTool_Curve)& OutCurve, Standard_Boolean& iscut) const; Standard_EXPORT void Init(); Standard_EXPORT void InitSmoothCriterion(); Standard_EXPORT void InitParameters (Standard_Real& Length); Standard_EXPORT void InitCriterionEstimations (const Standard_Real Length, Standard_Real& J1, Standard_Real& J2, Standard_Real& J3) const; Standard_EXPORT void EstTangent (const Standard_Integer ipnt, math_Vector& VTang) const; Standard_EXPORT void EstSecnd (const Standard_Integer ipnt, const math_Vector& VTang1, const math_Vector& VTang2, const Standard_Real Length, math_Vector& VScnd) const; Standard_EXPORT void InitCutting (const Handle(PLib_Base)& aBase, const Standard_Real CurvTol, Handle(FEmTool_Curve)& aCurve) const; Standard_EXPORT void AssemblingConstraints (const Handle(FEmTool_Curve)& Curve, const TColStd_Array1OfReal& Parameters, const Standard_Real CBLONG, FEmTool_Assembly& A) const; Standard_EXPORT Standard_Boolean InitTthetaF (const Standard_Integer ndimen, const AppParCurves_Constraint typcon, const Standard_Integer begin, const Standard_Integer jndex); AppDef_MultiLine mySSP; Standard_Integer myNbP3d; Standard_Integer myNbP2d; Standard_Integer myDimension; Standard_Integer myFirstPoint; Standard_Integer myLastPoint; Standard_Integer myNbPoints; Handle(TColStd_HArray1OfReal) myTabPoints; Handle(AppParCurves_HArray1OfConstraintCouple) myConstraints; Standard_Integer myNbConstraints; Handle(TColStd_HArray1OfReal) myTabConstraints; Standard_Integer myNbPassPoints; Standard_Integer myNbTangPoints; Standard_Integer myNbCurvPoints; Handle(TColStd_HArray1OfInteger) myTypConstraints; Handle(TColStd_HArray1OfReal) myTtheta; Handle(TColStd_HArray1OfReal) myTfthet; Standard_Integer myMaxDegree; Standard_Integer myMaxSegment; Standard_Integer myNbIterations; Standard_Real myTolerance; GeomAbs_Shape myContinuity; Standard_Integer myNivCont; Standard_Boolean myWithMinMax; Standard_Boolean myWithCutting; Standard_Real myPercent[3]; Standard_Real myCriterium[4]; Handle(AppDef_SmoothCriterion) mySmoothCriterion; Handle(TColStd_HArray1OfReal) myParameters; Handle(TColStd_HArray1OfReal) myKnots; AppParCurves_MultiBSpCurve myMBSpCurve; Standard_Real myMaxError; Standard_Integer myMaxErrorIndex; Standard_Real myAverageError; Standard_Boolean myIsCreated; Standard_Boolean myIsDone; Standard_Boolean myIsOverConstr; }; #endif // _AppDef_Variational_HeaderFile