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0026838: Using GeomEvaluators for calculation of values of curves
1. Implemented evaluators for 2D and 3D offset curves 2. Removed obsolete namespace CSLib_Offset Update of UDLIST (adding no-cdl-pack Geom2dEvaluator) Update TKG2d/CMakeLists.txt after rebase Correction compilation in debug mode
This commit is contained in:
azv
bugmaster
3
src/Geom2dEvaluator/FILES
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3
src/Geom2dEvaluator/FILES
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Geom2dEvaluator_Curve.hxx
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Geom2dEvaluator_OffsetCurve.cxx
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Geom2dEvaluator_OffsetCurve.hxx
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53
src/Geom2dEvaluator/Geom2dEvaluator_Curve.hxx
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53
src/Geom2dEvaluator/Geom2dEvaluator_Curve.hxx
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// Created on: 2015-09-21
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// Copyright (c) 2015 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 _Geom2dEvaluator_Curve_HeaderFile
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#define _Geom2dEvaluator_Curve_HeaderFile
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#include <Standard_Transient.hxx>
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#include <Standard_Type.hxx>
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class gp_Pnt2d;
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class gp_Vec2d;
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//! Interface for calculation of values and derivatives for different kinds of curves in 2D.
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//! Works both with adaptors and curves.
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class Geom2dEvaluator_Curve : public Standard_Transient
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{
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public:
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Geom2dEvaluator_Curve() {}
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//! Value of 2D curve
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virtual void D0(const Standard_Real theU,
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gp_Pnt2d& theValue) const = 0;
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//! Value and first derivatives of curve
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virtual void D1(const Standard_Real theU,
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gp_Pnt2d& theValue, gp_Vec2d& theD1) const = 0;
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//! Value, first and second derivatives of curve
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virtual void D2(const Standard_Real theU,
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gp_Pnt2d& theValue, gp_Vec2d& theD1, gp_Vec2d& theD2) const = 0;
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//! Value, first, second and third derivatives of curve
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virtual void D3(const Standard_Real theU,
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gp_Pnt2d& theValue, gp_Vec2d& theD1, gp_Vec2d& theD2, gp_Vec2d& theD3) const = 0;
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//! Calculates N-th derivatives of curve, where N = theDerU. Raises if N < 1
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virtual gp_Vec2d DN(const Standard_Real theU,
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const Standard_Integer theDerU) const = 0;
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DEFINE_STANDARD_RTTI(Geom2dEvaluator_Curve, Standard_Transient)
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};
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DEFINE_STANDARD_HANDLE(Geom2dEvaluator_Curve, Standard_Transient)
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#endif // _Geom2dEvaluator_Curve_HeaderFile
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450
src/Geom2dEvaluator/Geom2dEvaluator_OffsetCurve.cxx
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450
src/Geom2dEvaluator/Geom2dEvaluator_OffsetCurve.cxx
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@@ -0,0 +1,450 @@
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// Created on: 2015-09-21
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// Copyright (c) 2015 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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#include <Geom2dEvaluator_OffsetCurve.hxx>
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#include <Geom2dAdaptor_HCurve.hxx>
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#include <Standard_NullValue.hxx>
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Geom2dEvaluator_OffsetCurve::Geom2dEvaluator_OffsetCurve(
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const Handle(Geom2d_Curve)& theBase,
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const Standard_Real theOffset)
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: Geom2dEvaluator_Curve(),
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myBaseCurve(theBase),
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myOffset(theOffset)
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{
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}
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Geom2dEvaluator_OffsetCurve::Geom2dEvaluator_OffsetCurve(
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const Handle(Geom2dAdaptor_HCurve)& theBase,
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const Standard_Real theOffset)
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: Geom2dEvaluator_Curve(),
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myBaseAdaptor(theBase),
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myOffset(theOffset)
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{
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}
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void Geom2dEvaluator_OffsetCurve::D0(const Standard_Real theU,
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gp_Pnt2d& theValue) const
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{
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gp_Vec2d aD1;
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BaseD1(theU, theValue, aD1);
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CalculateD0(theValue, aD1);
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}
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void Geom2dEvaluator_OffsetCurve::D1(const Standard_Real theU,
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gp_Pnt2d& theValue,
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gp_Vec2d& theD1) const
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{
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gp_Vec2d aD2;
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BaseD2(theU, theValue, theD1, aD2);
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CalculateD1(theValue, theD1, aD2);
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}
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void Geom2dEvaluator_OffsetCurve::D2(const Standard_Real theU,
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gp_Pnt2d& theValue,
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gp_Vec2d& theD1,
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gp_Vec2d& theD2) const
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{
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gp_Vec2d aD3;
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BaseD3(theU, theValue, theD1, theD2, aD3);
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Standard_Boolean isDirectionChange = Standard_False;
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if (theD1.SquareMagnitude() <= gp::Resolution())
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{
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gp_Vec2d aDummyD4;
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isDirectionChange = AdjustDerivative(3, theU, theD1, theD2, aD3, aDummyD4);
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}
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CalculateD2(theValue, theD1, theD2, aD3, isDirectionChange);
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}
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void Geom2dEvaluator_OffsetCurve::D3(const Standard_Real theU,
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gp_Pnt2d& theValue,
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gp_Vec2d& theD1,
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gp_Vec2d& theD2,
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gp_Vec2d& theD3) const
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{
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gp_Vec2d aD4;
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BaseD4(theU, theValue, theD1, theD2, theD3, aD4);
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Standard_Boolean isDirectionChange = Standard_False;
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if (theD1.SquareMagnitude() <= gp::Resolution())
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isDirectionChange = AdjustDerivative(4, theU, theD1, theD2, theD3, aD4);
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CalculateD3(theValue, theD1, theD2, theD3, aD4, isDirectionChange);
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}
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gp_Vec2d Geom2dEvaluator_OffsetCurve::DN(const Standard_Real theU,
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const Standard_Integer theDeriv) const
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{
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Standard_RangeError_Raise_if(theDeriv < 1, "Geom2dEvaluator_OffsetCurve::DN(): theDeriv < 1");
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gp_Pnt2d aPnt;
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gp_Vec2d aDummy, aDN;
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switch (theDeriv)
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{
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case 1:
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D1(theU, aPnt, aDN);
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break;
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case 2:
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D2(theU, aPnt, aDummy, aDN);
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break;
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case 3:
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D3(theU, aPnt, aDummy, aDummy, aDN);
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break;
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default:
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aDN = BaseDN(theU, theDeriv);
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}
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return aDN;
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}
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void Geom2dEvaluator_OffsetCurve::BaseD0(const Standard_Real theU,
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gp_Pnt2d& theValue) const
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{
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if (!myBaseAdaptor.IsNull())
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myBaseAdaptor->D0(theU, theValue);
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else
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myBaseCurve->D0(theU, theValue);
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}
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void Geom2dEvaluator_OffsetCurve::BaseD1(const Standard_Real theU,
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gp_Pnt2d& theValue,
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gp_Vec2d& theD1) const
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{
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if (!myBaseAdaptor.IsNull())
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myBaseAdaptor->D1(theU, theValue, theD1);
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else
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myBaseCurve->D1(theU, theValue, theD1);
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}
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void Geom2dEvaluator_OffsetCurve::BaseD2(const Standard_Real theU,
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gp_Pnt2d& theValue,
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gp_Vec2d& theD1,
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gp_Vec2d& theD2) const
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{
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if (!myBaseAdaptor.IsNull())
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myBaseAdaptor->D2(theU, theValue, theD1, theD2);
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else
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myBaseCurve->D2(theU, theValue, theD1, theD2);
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}
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void Geom2dEvaluator_OffsetCurve::BaseD3(const Standard_Real theU,
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gp_Pnt2d& theValue,
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gp_Vec2d& theD1,
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gp_Vec2d& theD2,
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gp_Vec2d& theD3) const
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{
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if (!myBaseAdaptor.IsNull())
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myBaseAdaptor->D3(theU, theValue, theD1, theD2, theD3);
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else
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myBaseCurve->D3(theU, theValue, theD1, theD2, theD3);
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}
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void Geom2dEvaluator_OffsetCurve::BaseD4(const Standard_Real theU,
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gp_Pnt2d& theValue,
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gp_Vec2d& theD1,
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gp_Vec2d& theD2,
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gp_Vec2d& theD3,
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gp_Vec2d& theD4) const
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{
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if (!myBaseAdaptor.IsNull())
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{
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myBaseAdaptor->D3(theU, theValue, theD1, theD2, theD3);
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theD4 = myBaseAdaptor->DN(theU, 4);
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}
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else
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{
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myBaseCurve->D3(theU, theValue, theD1, theD2, theD3);
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theD4 = myBaseCurve->DN(theU, 4);
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}
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}
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gp_Vec2d Geom2dEvaluator_OffsetCurve::BaseDN(const Standard_Real theU,
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const Standard_Integer theDeriv) const
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{
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if (!myBaseAdaptor.IsNull())
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return myBaseAdaptor->DN(theU, theDeriv);
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return myBaseCurve->DN(theU, theDeriv);
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}
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void Geom2dEvaluator_OffsetCurve::CalculateD0( gp_Pnt2d& theValue,
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const gp_Vec2d& theD1) const
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{
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if (theD1.SquareMagnitude() <= gp::Resolution())
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Standard_NullValue::Raise("Geom2dEvaluator_OffsetCurve: Undefined normal vector "
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"because tangent vector has zero-magnitude!");
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gp_Dir2d aNormal(theD1.Y(), -theD1.X());
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theValue.ChangeCoord().Add(aNormal.XY() * myOffset);
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}
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void Geom2dEvaluator_OffsetCurve::CalculateD1( gp_Pnt2d& theValue,
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gp_Vec2d& theD1,
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const gp_Vec2d& theD2) const
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{
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// P(u) = p(u) + Offset * Ndir / R
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// with R = || p' ^ Z|| and Ndir = P' ^ Z
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// P'(u) = p'(u) + (Offset / R**2) * (DNdir/DU * R - Ndir * (DR/R))
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gp_XY Ndir(theD1.Y(), -theD1.X());
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gp_XY DNdir(theD2.Y(), -theD2.X());
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Standard_Real R2 = Ndir.SquareModulus();
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Standard_Real R = Sqrt(R2);
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Standard_Real R3 = R * R2;
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Standard_Real Dr = Ndir.Dot(DNdir);
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if (R3 <= gp::Resolution())
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{
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if (R2 <= gp::Resolution())
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Standard_NullValue::Raise("Geom2dEvaluator_OffsetCurve: Null derivative");
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//We try another computation but the stability is not very good.
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DNdir.Multiply(R);
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DNdir.Subtract(Ndir.Multiplied(Dr / R));
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DNdir.Multiply(myOffset / R2);
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}
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else
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{
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// Same computation as IICURV in EUCLID-IS because the stability is better
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DNdir.Multiply(myOffset / R);
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DNdir.Subtract(Ndir.Multiplied(myOffset * Dr / R3));
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}
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Ndir.Multiply(myOffset / R);
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// P(u)
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theValue.ChangeCoord().Add(Ndir);
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// P'(u)
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theD1.Add(gp_Vec2d(DNdir));
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}
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void Geom2dEvaluator_OffsetCurve::CalculateD2( gp_Pnt2d& theValue,
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gp_Vec2d& theD1,
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gp_Vec2d& theD2,
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const gp_Vec2d& theD3,
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const Standard_Boolean theIsDirChange) const
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{
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// P(u) = p(u) + Offset * Ndir / R
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// with R = || p' ^ Z|| and Ndir = P' ^ Z
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// P'(u) = p'(u) + (Offset / R**2) * (DNdir/DU * R - Ndir * (DR/R))
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// P"(u) = p"(u) + (Offset / R) * (D2Ndir/DU - DNdir * (2.0 * Dr/ R**2) +
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// Ndir * ( (3.0 * Dr**2 / R**4) - (D2r / R**2)))
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gp_XY Ndir(theD1.Y(), -theD1.X());
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gp_XY DNdir(theD2.Y(), -theD2.X());
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gp_XY D2Ndir(theD3.Y(), -theD3.X());
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Standard_Real R2 = Ndir.SquareModulus();
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Standard_Real R = Sqrt(R2);
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Standard_Real R3 = R2 * R;
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Standard_Real R4 = R2 * R2;
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Standard_Real R5 = R3 * R2;
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Standard_Real Dr = Ndir.Dot(DNdir);
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Standard_Real D2r = Ndir.Dot(D2Ndir) + DNdir.Dot(DNdir);
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if (R5 <= gp::Resolution())
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{
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if (R4 <= gp::Resolution())
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Standard_NullValue::Raise("Geom2dEvaluator_OffsetCurve: Null derivative");
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//We try another computation but the stability is not very good dixit ISG.
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// V2 = P" (U) :
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D2Ndir.Subtract(DNdir.Multiplied(2.0 * Dr / R2));
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D2Ndir.Add(Ndir.Multiplied(((3.0 * Dr * Dr) / R4) - (D2r / R2)));
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D2Ndir.Multiply(myOffset / R);
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// V1 = P' (U) :
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DNdir.Multiply(R);
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DNdir.Subtract(Ndir.Multiplied(Dr / R));
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DNdir.Multiply(myOffset / R2);
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}
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else
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{
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// Same computation as IICURV in EUCLID-IS because the stability is better.
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// V2 = P" (U) :
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D2Ndir.Multiply(myOffset / R);
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D2Ndir.Subtract(DNdir.Multiplied(2.0 * myOffset * Dr / R3));
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D2Ndir.Add(Ndir.Multiplied(myOffset * (((3.0 * Dr * Dr) / R5) - (D2r / R3))));
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// V1 = P' (U)
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DNdir.Multiply(myOffset / R);
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DNdir.Subtract(Ndir.Multiplied(myOffset * Dr / R3));
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}
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Ndir.Multiply(myOffset / R);
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// P(u)
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theValue.ChangeCoord().Add(Ndir);
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// P'(u) :
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theD1.Add(gp_Vec2d(DNdir));
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// P"(u) :
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if (theIsDirChange)
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theD2.Reverse();
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theD2.Add(gp_Vec2d(D2Ndir));
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}
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void Geom2dEvaluator_OffsetCurve::CalculateD3( gp_Pnt2d& theValue,
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gp_Vec2d& theD1,
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gp_Vec2d& theD2,
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gp_Vec2d& theD3,
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const gp_Vec2d& theD4,
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const Standard_Boolean theIsDirChange) const
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{
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// P(u) = p(u) + Offset * Ndir / R
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// with R = || p' ^ Z|| and Ndir = P' ^ Z
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// P'(u) = p'(u) + (Offset / R**2) * (DNdir/DU * R - Ndir * (DR/R))
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// P"(u) = p"(u) + (Offset / R) * (D2Ndir/DU - DNdir * (2.0 * Dr/ R**2) +
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// Ndir * ( (3.0 * Dr**2 / R**4) - (D2r / R**2)))
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// P"'(u) = p"'(u) + (Offset / R) * (D3Ndir - (3.0 * Dr/R**2 ) * D2Ndir -
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// (3.0 * D2r / R2) * DNdir) + (3.0 * Dr * Dr / R4) * DNdir -
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// (D3r/R2) * Ndir + (6.0 * Dr * Dr / R4) * Ndir +
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// (6.0 * Dr * D2r / R4) * Ndir - (15.0 * Dr* Dr* Dr /R6) * Ndir
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gp_XY Ndir(theD1.Y(), -theD1.X());
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gp_XY DNdir(theD2.Y(), -theD2.X());
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gp_XY D2Ndir(theD3.Y(), -theD3.X());
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gp_XY D3Ndir(theD4.Y(), -theD4.X());
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Standard_Real R2 = Ndir.SquareModulus();
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Standard_Real R = Sqrt(R2);
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Standard_Real R3 = R2 * R;
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Standard_Real R4 = R2 * R2;
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Standard_Real R5 = R3 * R2;
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Standard_Real R6 = R3 * R3;
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Standard_Real R7 = R5 * R2;
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Standard_Real Dr = Ndir.Dot(DNdir);
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Standard_Real D2r = Ndir.Dot(D2Ndir) + DNdir.Dot(DNdir);
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Standard_Real D3r = Ndir.Dot(D3Ndir) + 3.0 * DNdir.Dot(D2Ndir);
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if (R7 <= gp::Resolution())
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{
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if (R6 <= gp::Resolution())
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Standard_NullValue::Raise("Geom2dEvaluator_OffsetCurve: Null derivative");
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//We try another computation but the stability is not very good dixit ISG.
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||||
// V3 = P"' (U) :
|
||||
D3Ndir.Subtract(D2Ndir.Multiplied(3.0 * myOffset * Dr / R2));
|
||||
D3Ndir.Subtract(
|
||||
(DNdir.Multiplied((3.0 * myOffset) * ((D2r / R2) + (Dr*Dr) / R4))));
|
||||
D3Ndir.Add(Ndir.Multiplied(
|
||||
(myOffset * (6.0*Dr*Dr / R4 + 6.0*Dr*D2r / R4 - 15.0*Dr*Dr*Dr / R6 - D3r))));
|
||||
D3Ndir.Multiply(myOffset / R);
|
||||
// V2 = P" (U) :
|
||||
R4 = R2 * R2;
|
||||
D2Ndir.Subtract(DNdir.Multiplied(2.0 * Dr / R2));
|
||||
D2Ndir.Subtract(Ndir.Multiplied(((3.0 * Dr * Dr) / R4) - (D2r / R2)));
|
||||
D2Ndir.Multiply(myOffset / R);
|
||||
// V1 = P' (U) :
|
||||
DNdir.Multiply(R);
|
||||
DNdir.Subtract(Ndir.Multiplied(Dr / R));
|
||||
DNdir.Multiply(myOffset / R2);
|
||||
}
|
||||
else
|
||||
{
|
||||
// Same computation as IICURV in EUCLID-IS because the stability is better.
|
||||
// V3 = P"' (U) :
|
||||
D3Ndir.Multiply(myOffset / R);
|
||||
D3Ndir.Subtract(D2Ndir.Multiplied(3.0 * myOffset * Dr / R3));
|
||||
D3Ndir.Subtract(DNdir.Multiplied(
|
||||
((3.0 * myOffset) * ((D2r / R3) + (Dr*Dr) / R5))));
|
||||
D3Ndir.Add(Ndir.Multiplied(
|
||||
(myOffset * (6.0*Dr*Dr / R5 + 6.0*Dr*D2r / R5 - 15.0*Dr*Dr*Dr / R7 - D3r))));
|
||||
// V2 = P" (U) :
|
||||
D2Ndir.Multiply(myOffset / R);
|
||||
D2Ndir.Subtract(DNdir.Multiplied(2.0 * myOffset * Dr / R3));
|
||||
D2Ndir.Subtract(Ndir.Multiplied(
|
||||
myOffset * (((3.0 * Dr * Dr) / R5) - (D2r / R3))));
|
||||
// V1 = P' (U) :
|
||||
DNdir.Multiply(myOffset / R);
|
||||
DNdir.Subtract(Ndir.Multiplied(myOffset * Dr / R3));
|
||||
}
|
||||
|
||||
Ndir.Multiply(myOffset / R);
|
||||
// P(u)
|
||||
theValue.ChangeCoord().Add(Ndir);
|
||||
// P'(u) :
|
||||
theD1.Add(gp_Vec2d(DNdir));
|
||||
// P"(u)
|
||||
theD2.Add(gp_Vec2d(D2Ndir));
|
||||
// P"'(u)
|
||||
if (theIsDirChange)
|
||||
theD3.Reverse();
|
||||
theD3.Add(gp_Vec2d(D2Ndir));
|
||||
}
|
||||
|
||||
|
||||
Standard_Boolean Geom2dEvaluator_OffsetCurve::AdjustDerivative(
|
||||
const Standard_Integer theMaxDerivative, const Standard_Real theU,
|
||||
gp_Vec2d& theD1, gp_Vec2d& theD2, gp_Vec2d& theD3, gp_Vec2d& theD4) const
|
||||
{
|
||||
static const Standard_Real aTol = gp::Resolution();
|
||||
static const Standard_Real aMinStep = 1e-7;
|
||||
static const Standard_Integer aMaxDerivOrder = 3;
|
||||
|
||||
Standard_Boolean isDirectionChange = Standard_False;
|
||||
Standard_Real anUinfium;
|
||||
Standard_Real anUsupremum;
|
||||
if (!myBaseAdaptor.IsNull())
|
||||
{
|
||||
anUinfium = myBaseAdaptor->FirstParameter();
|
||||
anUsupremum = myBaseAdaptor->LastParameter();
|
||||
}
|
||||
else
|
||||
{
|
||||
anUinfium = myBaseCurve->FirstParameter();
|
||||
anUsupremum = myBaseCurve->LastParameter();
|
||||
}
|
||||
|
||||
static const Standard_Real DivisionFactor = 1.e-3;
|
||||
Standard_Real du;
|
||||
if ((anUsupremum >= RealLast()) || (anUinfium <= RealFirst()))
|
||||
du = 0.0;
|
||||
else
|
||||
du = anUsupremum - anUinfium;
|
||||
|
||||
const Standard_Real aDelta = Max(du * DivisionFactor, aMinStep);
|
||||
|
||||
//Derivative is approximated by Taylor-series
|
||||
Standard_Integer anIndex = 1; //Derivative order
|
||||
gp_Vec2d V;
|
||||
|
||||
do
|
||||
{
|
||||
V = BaseDN(theU, ++anIndex);
|
||||
} while ((V.SquareMagnitude() <= aTol) && anIndex < aMaxDerivOrder);
|
||||
|
||||
Standard_Real u;
|
||||
|
||||
if (theU - anUinfium < aDelta)
|
||||
u = theU + aDelta;
|
||||
else
|
||||
u = theU - aDelta;
|
||||
|
||||
gp_Pnt2d P1, P2;
|
||||
BaseD0(Min(theU, u), P1);
|
||||
BaseD0(Max(theU, u), P2);
|
||||
|
||||
gp_Vec2d V1(P1, P2);
|
||||
isDirectionChange = V.Dot(V1) < 0.0;
|
||||
Standard_Real aSign = isDirectionChange ? -1.0 : 1.0;
|
||||
|
||||
theD1 = V * aSign;
|
||||
gp_Vec2d* aDeriv[3] = { &theD2, &theD3, &theD4 };
|
||||
for (Standard_Integer i = 1; i < theMaxDerivative; i++)
|
||||
*(aDeriv[i - 1]) = BaseDN(theU, anIndex + i) * aSign;
|
||||
|
||||
return isDirectionChange;
|
||||
}
|
||||
|
||||
117
src/Geom2dEvaluator/Geom2dEvaluator_OffsetCurve.hxx
Normal file
117
src/Geom2dEvaluator/Geom2dEvaluator_OffsetCurve.hxx
Normal file
@@ -0,0 +1,117 @@
|
||||
// Created on: 2015-09-21
|
||||
// Copyright (c) 2015 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 _Geom2dEvaluator_OffsetCurve_HeaderFile
|
||||
#define _Geom2dEvaluator_OffsetCurve_HeaderFile
|
||||
|
||||
#include <Geom2d_Curve.hxx>
|
||||
#include <Geom2dEvaluator_Curve.hxx>
|
||||
|
||||
class Geom2dAdaptor_HCurve;
|
||||
|
||||
//! Allows to calculate values and derivatives for offset curves in 2D
|
||||
class Geom2dEvaluator_OffsetCurve : public Geom2dEvaluator_Curve
|
||||
{
|
||||
public:
|
||||
//! Initialize evaluator by curve
|
||||
Standard_EXPORT Geom2dEvaluator_OffsetCurve(
|
||||
const Handle(Geom2d_Curve)& theBase,
|
||||
const Standard_Real theOffset);
|
||||
//! Initialize evaluator by curve adaptor
|
||||
Standard_EXPORT Geom2dEvaluator_OffsetCurve(
|
||||
const Handle(Geom2dAdaptor_HCurve)& theBase,
|
||||
const Standard_Real theOffset);
|
||||
|
||||
//! Change the offset value
|
||||
void SetOffsetValue(Standard_Real theOffset)
|
||||
{ myOffset = theOffset; }
|
||||
|
||||
//! Value of curve
|
||||
Standard_EXPORT void D0(const Standard_Real theU,
|
||||
gp_Pnt2d& theValue) const Standard_OVERRIDE;
|
||||
//! Value and first derivatives of curve
|
||||
Standard_EXPORT void D1(const Standard_Real theU,
|
||||
gp_Pnt2d& theValue, gp_Vec2d& theD1) const Standard_OVERRIDE;
|
||||
//! Value, first and second derivatives of curve
|
||||
Standard_EXPORT void D2(const Standard_Real theU,
|
||||
gp_Pnt2d& theValue, gp_Vec2d& theD1, gp_Vec2d& theD2) const Standard_OVERRIDE;
|
||||
//! Value, first, second and third derivatives of curve
|
||||
Standard_EXPORT void D3(const Standard_Real theU,
|
||||
gp_Pnt2d& theValue, gp_Vec2d& theD1,
|
||||
gp_Vec2d& theD2, gp_Vec2d& theD3) const Standard_OVERRIDE;
|
||||
//! Calculates N-th derivatives of curve, where N = theDeriv. Raises if N < 1
|
||||
Standard_EXPORT gp_Vec2d DN(const Standard_Real theU,
|
||||
const Standard_Integer theDeriv) const Standard_OVERRIDE;
|
||||
|
||||
DEFINE_STANDARD_RTTI(Geom2dEvaluator_OffsetCurve, Geom2dEvaluator_Curve)
|
||||
|
||||
private:
|
||||
//! Recalculate D1 values of base curve into D0 value of offset curve
|
||||
void CalculateD0( gp_Pnt2d& theValue,
|
||||
const gp_Vec2d& theD1) const;
|
||||
//! Recalculate D2 values of base curve into D1 values of offset curve
|
||||
void CalculateD1( gp_Pnt2d& theValue,
|
||||
gp_Vec2d& theD1,
|
||||
const gp_Vec2d& theD2) const;
|
||||
//! Recalculate D3 values of base curve into D2 values of offset curve
|
||||
void CalculateD2( gp_Pnt2d& theValue,
|
||||
gp_Vec2d& theD1,
|
||||
gp_Vec2d& theD2,
|
||||
const gp_Vec2d& theD3,
|
||||
const Standard_Boolean theIsDirChange) const;
|
||||
//! Recalculate D3 values of base curve into D3 values of offset curve
|
||||
void CalculateD3( gp_Pnt2d& theValue,
|
||||
gp_Vec2d& theD1,
|
||||
gp_Vec2d& theD2,
|
||||
gp_Vec2d& theD3,
|
||||
const gp_Vec2d& theD4,
|
||||
const Standard_Boolean theIsDirChange) const;
|
||||
|
||||
//! Calculate value of base curve/adaptor
|
||||
void BaseD0(const Standard_Real theU, gp_Pnt2d& theValue) const;
|
||||
//! Calculate value and first derivatives of base curve/adaptor
|
||||
void BaseD1(const Standard_Real theU,
|
||||
gp_Pnt2d& theValue, gp_Vec2d& theD1) const;
|
||||
//! Calculate value, first and second derivatives of base curve/adaptor
|
||||
void BaseD2(const Standard_Real theU,
|
||||
gp_Pnt2d& theValue, gp_Vec2d& theD1, gp_Vec2d& theD2) const;
|
||||
//! Calculate value, first, second and third derivatives of base curve/adaptor
|
||||
void BaseD3(const Standard_Real theU,
|
||||
gp_Pnt2d& theValue, gp_Vec2d& theD1, gp_Vec2d& theD2, gp_Vec2d& theD3) const;
|
||||
//! Calculate value and derivatives till 4th of base curve/adaptor
|
||||
void BaseD4(const Standard_Real theU,
|
||||
gp_Pnt2d& theValue, gp_Vec2d& theD1, gp_Vec2d& theD2, gp_Vec2d& theD3, gp_Vec2d& theD4) const;
|
||||
//! Calculate N-th derivative of base curve/adaptor
|
||||
gp_Vec2d BaseDN(const Standard_Real theU, const Standard_Integer theDeriv) const;
|
||||
|
||||
// Recalculate derivatives in the singular point
|
||||
// Returns true if the direction of derivatives is changed
|
||||
Standard_Boolean AdjustDerivative(const Standard_Integer theMaxDerivative,
|
||||
const Standard_Real theU,
|
||||
gp_Vec2d& theD1,
|
||||
gp_Vec2d& theD2,
|
||||
gp_Vec2d& theD3,
|
||||
gp_Vec2d& theD4) const;
|
||||
|
||||
private:
|
||||
Handle(Geom2d_Curve) myBaseCurve;
|
||||
Handle(Geom2dAdaptor_HCurve) myBaseAdaptor;
|
||||
|
||||
Standard_Real myOffset; ///< offset value
|
||||
};
|
||||
|
||||
DEFINE_STANDARD_HANDLE(Geom2dEvaluator_OffsetCurve, Geom2dEvaluator_Curve)
|
||||
|
||||
|
||||
#endif // _Geom2dEvaluator_OffsetCurve_HeaderFile
|
||||
Reference in New Issue
Block a user