264 lines
13 KiB
C++
264 lines
13 KiB
C++
// Created on: 1991-12-02
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// Created by: Laurent PAINNOT
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// Copyright (c) 1991-1999 Matra Datavision
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// Copyright (c) 1999-2014 OPEN CASCADE SAS
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//
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// This file is part of Open CASCADE Technology software library.
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//
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// This library is free software; you can redistribute it and/or modify it under
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// the terms of the GNU Lesser General Public License version 2.1 as published
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// by the Free Software Foundation, with special exception defined in the file
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// OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT
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// distribution for complete text of the license and disclaimer of any warranty.
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//
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// Alternatively, this file may be used under the terms of Open CASCADE
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// commercial license or contractual agreement.
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#ifndef _AppDef_BSplineCompute_HeaderFile
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#define _AppDef_BSplineCompute_HeaderFile
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#include "Standard.hxx"
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#include "Standard_DefineAlloc.hxx"
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#include "Standard_Handle.hxx"
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#include "AppParCurves_MultiBSpCurve.hxx"
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#include "Approx_ParametrizationType.hxx"
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#include "TColStd_HArray1OfReal.hxx"
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#include "TColStd_HArray1OfInteger.hxx"
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#include "AppParCurves_HArray1OfConstraintCouple.hxx"
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#include "Standard_Integer.hxx"
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#include "Standard_Real.hxx"
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#include "AppParCurves_Constraint.hxx"
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#include "math_Vector.hxx"
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#include "TColStd_Array1OfReal.hxx"
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#include "TColStd_Array1OfInteger.hxx"
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class AppDef_MultiLine;
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class AppDef_MyLineTool;
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class AppDef_MyBSplGradientOfBSplineCompute;
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class AppDef_BSpParLeastSquareOfMyBSplGradientOfBSplineCompute;
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class AppDef_BSpParFunctionOfMyBSplGradientOfBSplineCompute;
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class AppDef_BSpGradient_BFGSOfMyBSplGradientOfBSplineCompute;
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class AppDef_MyGradientbisOfBSplineCompute;
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class AppDef_ParLeastSquareOfMyGradientbisOfBSplineCompute;
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class AppDef_ResConstraintOfMyGradientbisOfBSplineCompute;
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class AppDef_ParFunctionOfMyGradientbisOfBSplineCompute;
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class AppDef_Gradient_BFGSOfMyGradientbisOfBSplineCompute;
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class AppParCurves_MultiBSpCurve;
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class AppParCurves_MultiCurve;
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class AppDef_BSplineCompute
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{
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public:
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DEFINE_STANDARD_ALLOC
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//! The MultiLine <Line> will be approximated until tolerances
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//! will be reached.
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//! The approximation will be done from degreemin to degreemax
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//! with a cutting if the corresponding boolean is True.
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//! If <Squares> is True, the computation will be done with
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//! no iteration at all.
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//!
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//! The multiplicities of the internal knots is set by
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//! default.
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Standard_EXPORT AppDef_BSplineCompute(
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const AppDef_MultiLine& Line,
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const Standard_Integer degreemin = 4,
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const Standard_Integer degreemax = 8,
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const Standard_Real Tolerance3d = 1.0e-3,
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const Standard_Real Tolerance2d = 1.0e-6,
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const Standard_Integer NbIterations = 5,
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const Standard_Boolean cutting = Standard_True,
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const Approx_ParametrizationType parametrization = Approx_ChordLength,
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const Standard_Boolean Squares = Standard_False);
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//! The MultiLine <Line> will be approximated until tolerances
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//! will be reached.
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//! The approximation will be done from degreemin to degreemax
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//! with a cutting if the corresponding boolean is True.
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//! If <Squares> is True, the computation will be done with
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//! no iteration at all.
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Standard_EXPORT AppDef_BSplineCompute(const AppDef_MultiLine& Line,
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const math_Vector& Parameters,
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const Standard_Integer degreemin = 4,
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const Standard_Integer degreemax = 8,
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const Standard_Real Tolerance3d = 1.0e-03,
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const Standard_Real Tolerance2d = 1.0e-06,
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const Standard_Integer NbIterations = 5,
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const Standard_Boolean cutting = Standard_True,
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const Standard_Boolean Squares = Standard_False);
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//! Initializes the fields of the algorithm.
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Standard_EXPORT AppDef_BSplineCompute(const math_Vector& Parameters,
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const Standard_Integer degreemin = 4,
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const Standard_Integer degreemax = 8,
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const Standard_Real Tolerance3d = 1.0e-03,
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const Standard_Real Tolerance2d = 1.0e-06,
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const Standard_Integer NbIterations = 5,
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const Standard_Boolean cutting = Standard_True,
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const Standard_Boolean Squares = Standard_False);
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//! Initializes the fields of the algorithm.
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Standard_EXPORT AppDef_BSplineCompute(
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const Standard_Integer degreemin = 4,
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const Standard_Integer degreemax = 8,
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const Standard_Real Tolerance3d = 1.0e-03,
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const Standard_Real Tolerance2d = 1.0e-06,
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const Standard_Integer NbIterations = 5,
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const Standard_Boolean cutting = Standard_True,
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const Approx_ParametrizationType parametrization = Approx_ChordLength,
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const Standard_Boolean Squares = Standard_False);
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//! Constructs an interpolation of the MultiLine <Line>
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//! The result will be a C2 curve of degree 3.
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Standard_EXPORT void Interpol(const AppDef_MultiLine& Line);
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//! Initializes the fields of the algorithm.
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Standard_EXPORT void Init(const Standard_Integer degreemin = 4,
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const Standard_Integer degreemax = 8,
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const Standard_Real Tolerance3d = 1.0e-03,
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const Standard_Real Tolerance2d = 1.0e-06,
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const Standard_Integer NbIterations = 5,
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const Standard_Boolean cutting = Standard_True,
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const Approx_ParametrizationType parametrization = Approx_ChordLength,
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const Standard_Boolean Squares = Standard_False);
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//! runs the algorithm after having initialized the fields.
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Standard_EXPORT void Perform(const AppDef_MultiLine& Line);
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//! The approximation will begin with the
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//! set of parameters <ThePar>.
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Standard_EXPORT void SetParameters(const math_Vector& ThePar);
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//! The approximation will be done with the
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//! set of knots <Knots>. The multiplicities will be set
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//! with the degree and the desired continuity.
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Standard_EXPORT void SetKnots(const TColStd_Array1OfReal& Knots);
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//! The approximation will be done with the
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//! set of knots <Knots> and the multiplicities <Mults>.
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Standard_EXPORT void SetKnotsAndMultiplicities(const TColStd_Array1OfReal& Knots,
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const TColStd_Array1OfInteger& Mults);
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//! changes the degrees of the approximation.
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Standard_EXPORT void SetDegrees(const Standard_Integer degreemin,
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const Standard_Integer degreemax);
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//! Changes the tolerances of the approximation.
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Standard_EXPORT void SetTolerances(const Standard_Real Tolerance3d,
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const Standard_Real Tolerance2d);
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//! sets the continuity of the spline.
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//! if C = 2, the spline will be C2.
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Standard_EXPORT void SetContinuity(const Standard_Integer C);
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//! changes the first and the last constraint points.
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Standard_EXPORT void SetConstraints(const AppParCurves_Constraint firstC,
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const AppParCurves_Constraint lastC);
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//! Sets periodic flag.
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//! If thePeriodic = Standard_True, algorithm tries to build periodic
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//! multicurve using corresponding C1 boundary condition for first and last multipoints.
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//! Multiline must be closed.
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Standard_EXPORT void SetPeriodic(const Standard_Boolean thePeriodic);
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//! returns False if at a moment of the approximation,
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//! the status NoApproximation has been sent by the user
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//! when more points were needed.
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Standard_EXPORT Standard_Boolean IsAllApproximated() const;
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//! returns False if the status NoPointsAdded has been sent.
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Standard_EXPORT Standard_Boolean IsToleranceReached() const;
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//! returns the tolerances 2d and 3d of the MultiBSpCurve.
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Standard_EXPORT void Error(Standard_Real& tol3d, Standard_Real& tol2d) const;
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//! returns the result of the approximation.
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Standard_EXPORT const AppParCurves_MultiBSpCurve& Value() const;
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//! returns the result of the approximation.
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Standard_EXPORT AppParCurves_MultiBSpCurve& ChangeValue();
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//! returns the new parameters of the approximation
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//! corresponding to the points of the MultiBSpCurve.
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Standard_EXPORT const TColStd_Array1OfReal& Parameters() const;
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protected:
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private:
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//! is internally used in the algorithm.
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Standard_EXPORT Standard_Boolean Compute(const AppDef_MultiLine& Line,
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const Standard_Integer fpt,
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const Standard_Integer lpt,
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math_Vector& Para,
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const TColStd_Array1OfReal& Knots,
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TColStd_Array1OfInteger& Mults);
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//! is internally used in the algorithm.
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Standard_EXPORT Standard_Boolean ComputeCurve(const AppDef_MultiLine& Line,
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const Standard_Integer firspt,
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const Standard_Integer lastpt);
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//! computes new parameters between firstP and lastP.
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Standard_EXPORT void Parameters(const AppDef_MultiLine& Line,
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const Standard_Integer firstP,
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const Standard_Integer LastP,
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math_Vector& TheParameters) const;
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Standard_EXPORT Standard_Real SearchFirstLambda(const AppDef_MultiLine& Line,
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const math_Vector& Para,
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const TColStd_Array1OfReal& Knots,
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const math_Vector& V,
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const Standard_Integer index) const;
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Standard_EXPORT Standard_Real SearchLastLambda(const AppDef_MultiLine& Line,
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const math_Vector& Para,
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const TColStd_Array1OfReal& Knots,
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const math_Vector& V,
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const Standard_Integer index) const;
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Standard_EXPORT void TangencyVector(const AppDef_MultiLine& Line,
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const AppParCurves_MultiCurve& C,
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const Standard_Real U,
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math_Vector& V) const;
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Standard_EXPORT void FirstTangencyVector(const AppDef_MultiLine& Line,
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const Standard_Integer index,
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math_Vector& V) const;
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Standard_EXPORT void LastTangencyVector(const AppDef_MultiLine& Line,
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const Standard_Integer index,
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math_Vector& V) const;
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Standard_EXPORT void FindRealConstraints(const AppDef_MultiLine& Line);
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AppParCurves_MultiBSpCurve TheMultiBSpCurve;
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Standard_Boolean alldone;
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Standard_Boolean tolreached;
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Approx_ParametrizationType Par;
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Handle(TColStd_HArray1OfReal) myParameters;
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Handle(TColStd_HArray1OfReal) myfirstParam;
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Handle(TColStd_HArray1OfReal) myknots;
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Handle(TColStd_HArray1OfInteger) mymults;
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Standard_Boolean myhasknots;
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Standard_Boolean myhasmults;
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Handle(AppParCurves_HArray1OfConstraintCouple) myConstraints;
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Standard_Integer mydegremin;
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Standard_Integer mydegremax;
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Standard_Real mytol3d;
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Standard_Real mytol2d;
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Standard_Real currenttol3d;
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Standard_Real currenttol2d;
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Standard_Boolean mycut;
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Standard_Boolean mysquares;
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Standard_Integer myitermax;
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AppParCurves_Constraint myfirstC;
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AppParCurves_Constraint mylastC;
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AppParCurves_Constraint realfirstC;
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AppParCurves_Constraint reallastC;
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Standard_Integer mycont;
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Standard_Real mylambda1;
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Standard_Real mylambda2;
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Standard_Boolean myPeriodic;
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};
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#endif // _AppDef_BSplineCompute_HeaderFile
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