include/opencascade/GeomInt_TheComputeLineBezierOfWLApprox.hxx

0001 // Created on: 1995-01-27
0002 // Created by: Jacques GOUSSARD
0003 // Copyright (c) 1995-1999 Matra Datavision
0004 // Copyright (c) 1999-2014 OPEN CASCADE SAS
0005 //
0006 // This file is part of Open CASCADE Technology software library.
0007 //
0008 // This library is free software; you can redistribute it and/or modify it under
0009 // the terms of the GNU Lesser General Public License version 2.1 as published
0010 // by the Free Software Foundation, with special exception defined in the file
0011 // OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT
0012 // distribution for complete text of the license and disclaimer of any warranty.
0013 //
0014 // Alternatively, this file may be used under the terms of Open CASCADE
0015 // commercial license or contractual agreement.
0016
0017 #ifndef _GeomInt_TheComputeLineBezierOfWLApprox_HeaderFile
0018 #define _GeomInt_TheComputeLineBezierOfWLApprox_HeaderFile
0019
0020 #include <Standard.hxx>
0021 #include <Standard_DefineAlloc.hxx>
0022 #include <Standard_Handle.hxx>
0023
0024 #include <AppParCurves_SequenceOfMultiCurve.hxx>
0025 #include <AppParCurves_MultiCurve.hxx>
0026 #include <AppParCurves_MultiBSpCurve.hxx>
0027 #include <Approx_ParametrizationType.hxx>
0028 #include <TColStd_HArray1OfReal.hxx>
0029 #include <Approx_SequenceOfHArray1OfReal.hxx>
0030 #include <TColStd_SequenceOfReal.hxx>
0031 #include <AppParCurves_HArray1OfConstraintCouple.hxx>
0032 #include <Standard_Integer.hxx>
0033 #include <AppParCurves_Constraint.hxx>
0034 #include <math_Vector.hxx>
0035 #include <TColStd_Array1OfReal.hxx>
0036 class GeomInt_TheMultiLineOfWLApprox;
0037 class GeomInt_TheMultiLineToolOfWLApprox;
0038 class GeomInt_MyGradientOfTheComputeLineBezierOfWLApprox;
0039 class GeomInt_ParLeastSquareOfMyGradientOfTheComputeLineBezierOfWLApprox;
0040 class GeomInt_ResConstraintOfMyGradientOfTheComputeLineBezierOfWLApprox;
0041 class GeomInt_ParFunctionOfMyGradientOfTheComputeLineBezierOfWLApprox;
0042 class GeomInt_Gradient_BFGSOfMyGradientOfTheComputeLineBezierOfWLApprox;
0043 class AppParCurves_MultiCurve;
0044 class AppParCurves_MultiBSpCurve;
0045
0046
0047
0048 class GeomInt_TheComputeLineBezierOfWLApprox
0049 {
0050 public:
0051
0052   DEFINE_STANDARD_ALLOC
0053
0054
0055   //! The MultiLine <Line> will be approximated until tolerances
0056   //! will be reached.
0057   //! The approximation will be done from degreemin to degreemax
0058   //! with a cutting if the corresponding boolean is True.
0059   //! If <Squares> is True, the computation will be done with
0060   //! no iteration at all.
0061   Standard_EXPORT GeomInt_TheComputeLineBezierOfWLApprox(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);
0062
0063   //! The MultiLine <Line> will be approximated until tolerances
0064   //! will be reached.
0065   //! The approximation will be done from degreemin to degreemax
0066   //! with a cutting if the corresponding boolean is True.
0067   //! If <Squares> is True, the computation will be done with
0068   //! no iteration at all.
0069   Standard_EXPORT GeomInt_TheComputeLineBezierOfWLApprox(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);
0070
0071   //! Initializes the fields of the algorithm.
0072   Standard_EXPORT GeomInt_TheComputeLineBezierOfWLApprox(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);
0073
0074   //! Initializes the fields of the algorithm.
0075   Standard_EXPORT GeomInt_TheComputeLineBezierOfWLApprox(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);
0076
0077   //! Initializes the fields of the algorithm.
0078   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);
0079
0080   //! runs the algorithm after having initialized the fields.
0081   Standard_EXPORT void Perform (const GeomInt_TheMultiLineOfWLApprox& Line);
0082
0083   //! changes the degrees of the approximation.
0084   Standard_EXPORT void SetDegrees (const Standard_Integer degreemin, const Standard_Integer degreemax);
0085
0086   //! Changes the tolerances of the approximation.
0087   Standard_EXPORT void SetTolerances (const Standard_Real Tolerance3d, const Standard_Real Tolerance2d);
0088
0089   //! changes the first and the last constraint points.
0090   Standard_EXPORT void SetConstraints (const AppParCurves_Constraint firstC, const AppParCurves_Constraint lastC);
0091
0092   //! returns False if at a moment of the approximation,
0093   //! the status NoApproximation has been sent by the user
0094   //! when more points were needed.
0095   Standard_EXPORT Standard_Boolean IsAllApproximated() const;
0096
0097   //! returns False if the status NoPointsAdded has been sent.
0098   Standard_EXPORT Standard_Boolean IsToleranceReached() const;
0099
0100   //! returns the tolerances 2d and 3d of the <Index> MultiCurve.
0101   Standard_EXPORT void Error (const Standard_Integer Index, Standard_Real& tol3d, Standard_Real& tol2d) const;
0102
0103   //! Returns the number of MultiCurve doing the approximation
0104   //! of the MultiLine.
0105   Standard_EXPORT Standard_Integer NbMultiCurves() const;
0106
0107   //! returns the result of the approximation.
0108   Standard_EXPORT const AppParCurves_MultiCurve& Value (const Standard_Integer Index = 1) const;
0109
0110   //! returns the result of the approximation.
0111   Standard_EXPORT AppParCurves_MultiCurve& ChangeValue (const Standard_Integer Index = 1);
0112
0113   //! returns the result of the approximation.
0114   Standard_EXPORT const AppParCurves_MultiBSpCurve& SplineValue();
0115
0116   //! returns the type  of  parametrization
0117   Standard_EXPORT Approx_ParametrizationType Parametrization () const;
0118
0119   //! returns the new parameters of the approximation
0120   //! corresponding to the points of the multicurve <Index>.
0121   Standard_EXPORT const TColStd_Array1OfReal& Parameters (const Standard_Integer Index = 1) const;
0122
0123
0124
0125
0126 protected:
0127
0128
0129
0130
0131
0132 private:
0133
0134
0135   //! is internally used in the algorithm.
0136   Standard_EXPORT Standard_Boolean Compute (const GeomInt_TheMultiLineOfWLApprox& Line,
0137                                             const Standard_Integer fpt,
0138                                             const Standard_Integer lpt,
0139                                             math_Vector& Para,
0140                                             Standard_Real& TheTol3d,
0141                                             Standard_Real& TheTol2d,
0142                                             Standard_Integer& indbad);
0143
0144   //! is internally used in the algorithm.
0145   Standard_EXPORT Standard_Boolean ComputeCurve (const GeomInt_TheMultiLineOfWLApprox& Line, const Standard_Integer firspt, const Standard_Integer lastpt);
0146
0147   //! computes new parameters between firstP and lastP.
0148   Standard_EXPORT void Parameters (const GeomInt_TheMultiLineOfWLApprox& Line, const Standard_Integer firstP, const Standard_Integer LastP, math_Vector& TheParameters) const;
0149
0150   Standard_EXPORT Standard_Real SearchFirstLambda (const GeomInt_TheMultiLineOfWLApprox& Line, const math_Vector& Para, const math_Vector& V, const Standard_Integer index) const;
0151
0152   Standard_EXPORT Standard_Real SearchLastLambda (const GeomInt_TheMultiLineOfWLApprox& Line, const math_Vector& Para, const math_Vector& V, const Standard_Integer index) const;
0153
0154   Standard_EXPORT void FirstTangencyVector (const GeomInt_TheMultiLineOfWLApprox& Line, const Standard_Integer index, math_Vector& V) const;
0155
0156   Standard_EXPORT void LastTangencyVector (const GeomInt_TheMultiLineOfWLApprox& Line, const Standard_Integer index, math_Vector& V) const;
0157
0158
0159   AppParCurves_SequenceOfMultiCurve myMultiCurves;
0160   AppParCurves_MultiCurve TheMultiCurve;
0161   AppParCurves_MultiBSpCurve myspline;
0162   Standard_Boolean alldone;
0163   Standard_Boolean tolreached;
0164   Approx_ParametrizationType Par;
0165   Handle(TColStd_HArray1OfReal) myParameters;
0166   Handle(TColStd_HArray1OfReal) myfirstParam;
0167   Approx_SequenceOfHArray1OfReal myPar;
0168   TColStd_SequenceOfReal Tolers3d;
0169   TColStd_SequenceOfReal Tolers2d;
0170   Handle(AppParCurves_HArray1OfConstraintCouple) myConstraints;
0171   Standard_Integer mydegremin;
0172   Standard_Integer mydegremax;
0173   Standard_Real mytol3d;
0174   Standard_Real mytol2d;
0175   Standard_Real currenttol3d;
0176   Standard_Real currenttol2d;
0177   Standard_Boolean mycut;
0178   Standard_Boolean mysquares;
0179   Standard_Integer myitermax;
0180   AppParCurves_Constraint myfirstC;
0181   AppParCurves_Constraint mylastC;
0182   Standard_Integer myMultiLineNb;
0183   Standard_Boolean myIsClear;
0184
0185
0186 };
0187
0188
0189
0190
0191
0192
0193
0194 #endif // _GeomInt_TheComputeLineBezierOfWLApprox_HeaderFile