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d5f74e42d6
License statement text corrected; compiler warnings caused by Bison 2.41 disabled for MSVC; a few other compiler warnings on 54-bit Windows eliminated by appropriate type cast Wrong license statements corrected in several files. Copyright and license statements added in XSD and GLSL files. Copyright year updated in some files. Obsolete documentation files removed from DrawResources.
282 lines
7.1 KiB
Plaintext
282 lines
7.1 KiB
Plaintext
// Copyright (c) 1995-1999 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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#include <LProp_Status.hxx>
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#include <LProp_NotDefined.hxx>
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#include <Standard_OutOfRange.hxx>
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static const Standard_Real MinStep = 1.0e-7;
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LProp_CLProps::LProp_CLProps (const Curve& C,
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const Standard_Real U,
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const Standard_Integer N,
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const Standard_Real Resolution)
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: myCurve(C), myDerOrder(N), myCN(4),
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myLinTol(Resolution), myTangentStatus (LProp_Undecided)
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{
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Standard_OutOfRange_Raise_if (N < 0 || N > 3,
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"LProp_CLProps::LProp_CLProps()");
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SetParameter(U);
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}
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LProp_CLProps::LProp_CLProps (const Curve& C, const Standard_Integer N,
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const Standard_Real Resolution)
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: myCurve(C), myU(RealLast()), myDerOrder(N), myCN(4),
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myLinTol(Resolution), myTangentStatus (LProp_Undecided)
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{
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Standard_OutOfRange_Raise_if (N < 0 || N > 3,
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"LProp_CLProps::LProp_CLProps()");
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}
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LProp_CLProps::LProp_CLProps (const Standard_Integer N,
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const Standard_Real Resolution)
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: myU(RealLast()), myDerOrder(N), myCN(0), myLinTol(Resolution),
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myTangentStatus (LProp_Undecided)
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{
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Standard_OutOfRange_Raise_if (N < 0 || N > 3, "");
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}
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void LProp_CLProps::SetParameter(const Standard_Real U)
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{
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myU = U;
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switch (myDerOrder)
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{
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case 0:
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Tool::Value(myCurve, myU, myPnt);
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break;
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case 1:
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Tool::D1(myCurve, myU, myPnt, myDerivArr[0]);
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break;
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case 2:
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Tool::D2(myCurve, myU, myPnt, myDerivArr[0], myDerivArr[1]);
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break;
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case 3:
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Tool::D3(myCurve, myU, myPnt, myDerivArr[0], myDerivArr[1], myDerivArr[2]);
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break;
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}
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myTangentStatus = LProp_Undecided;
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}
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void LProp_CLProps::SetCurve(const Curve& C)
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{
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myCurve = C ;
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myCN = 4; // Tool::Continuity(C); RLE
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}
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const Pnt& LProp_CLProps::Value () const
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{
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return myPnt;
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}
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const Vec& LProp_CLProps::D1 ()
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{
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if (myDerOrder < 1)
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{
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myDerOrder = 1;
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Tool::D1(myCurve, myU, myPnt, myDerivArr[0]);
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}
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return myDerivArr[0];
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}
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const Vec& LProp_CLProps::D2 ()
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{
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if (myDerOrder < 2)
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{
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myDerOrder = 2;
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Tool::D2(myCurve, myU, myPnt, myDerivArr[0], myDerivArr[1]);
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}
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return myDerivArr[1];
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}
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const Vec& LProp_CLProps::D3 ()
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{
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if (myDerOrder < 3)
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{
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myDerOrder = 3;
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Tool::D3(myCurve, myU, myPnt, myDerivArr[0], myDerivArr[1], myDerivArr[2]);
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}
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return myDerivArr[2];
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}
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Standard_Boolean LProp_CLProps::IsTangentDefined ()
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{
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if (myTangentStatus == LProp_Undefined)
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return Standard_False;
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else if (myTangentStatus >= LProp_Defined)
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return Standard_True;
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// tangentStatus == Lprop_Undecided
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// we have to calculate the first non null derivative
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const Standard_Real Tol = myLinTol * myLinTol;
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Vec V;
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Standard_Integer Order = 0;
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while (Order++ < 4)
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{
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if(myCN >= Order)
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{
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switch(Order)
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{
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case 1:
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V = D1();
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break;
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case 2:
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V = D2();
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break;
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case 3:
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V = D3();
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break;
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}//switch(Order)
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if(V.SquareMagnitude() > Tol)
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{
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mySignificantFirstDerivativeOrder = Order;
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myTangentStatus = LProp_Defined;
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return Standard_True;
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}//if(V.SquareMagnitude() > Tol)
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}//if(cn >= Order)
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else
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{
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myTangentStatus = LProp_Undefined;
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return Standard_False;
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}// else of "if(cn >= Order)" condition
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}//while (Order < 4)
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return Standard_False;
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}
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void LProp_CLProps::Tangent (Dir& D)
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{
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if(!IsTangentDefined())
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LProp_NotDefined::Raise();
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if(mySignificantFirstDerivativeOrder == 1)
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D = Dir(myDerivArr[0]);
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else if (mySignificantFirstDerivativeOrder > 1)
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{
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const Standard_Real DivisionFactor = 1.e-3;
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const Standard_Real anUsupremum = Tool::LastParameter(myCurve),
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anUinfium = Tool::FirstParameter(myCurve);
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Standard_Real du;
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if((anUsupremum >= RealLast()) || (anUinfium <= RealFirst()))
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du = 0.0;
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else
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du = anUsupremum-anUinfium;
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const Standard_Real aDelta = Max(du*DivisionFactor,MinStep);
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Vec V = myDerivArr[mySignificantFirstDerivativeOrder - 1];
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Standard_Real u;
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if(myU-anUinfium < aDelta)
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u = myU+aDelta;
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else
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u = myU-aDelta;
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Pnt P1, P2;
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Tool::Value(myCurve, Min(myU, u),P1);
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Tool::Value(myCurve, Max(myU, u),P2);
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Vec V1(P1,P2);
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Standard_Real aDirFactor = V.Dot(V1);
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if(aDirFactor < 0.0)
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V = -V;
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D = Dir(V);
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}//else if (mySignificantFirstDerivativeOrder > 1)
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}
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Standard_Real LProp_CLProps::Curvature ()
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{
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Standard_Boolean isDefined = IsTangentDefined();
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(void)isDefined; // trick to avoid compiler warning on variable unised in Release mode; note that IsTangentDefined() must be called always
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LProp_NotDefined_Raise_if(!isDefined,
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"LProp_CLProps::CurvatureNotDefined()");
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// if the first derivative is null the curvature is infinite.
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if(mySignificantFirstDerivativeOrder > 1)
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return RealLast();
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Standard_Real Tol = myLinTol * myLinTol;
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Standard_Real DD1 = myDerivArr[0].SquareMagnitude();
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Standard_Real DD2 = myDerivArr[1].SquareMagnitude();
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// if the second derivative is null the curvature is null.
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if (DD2 <= Tol)
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{
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myCurvature = 0.0;
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}
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else
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{
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Standard_Real N = myDerivArr[0].CrossSquareMagnitude(myDerivArr[1]);
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// if d[0] and d[1] are colinear the curvature is null.
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Standard_Real t = N/(DD1*DD2);
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if (t<=Tol)
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{
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myCurvature = 0.0;
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}
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else
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{
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myCurvature = sqrt(N) / (DD1*sqrt(DD1));
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}
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}
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return myCurvature;
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}
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void LProp_CLProps::Normal (Dir& D)
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{
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Standard_Real c = Curvature();
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if(c==RealLast() || Abs(c) <= myLinTol)
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{
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LProp_NotDefined::Raise("LProp_CLProps::Normal(...):"
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"Curvature is null or infinity");
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}
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// we used here the following vector relation
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// a ^ (b ^ c) = b(ac) - c(ab)
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// Norm = d[0] ^ (d[1] ^ d[0])
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Vec Norm = myDerivArr[1] * (myDerivArr[0] * myDerivArr[0]) - myDerivArr[0] * (myDerivArr[0] * myDerivArr[1]);
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D = Dir(Norm);
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}
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void LProp_CLProps::CentreOfCurvature (Pnt& P)
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{
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if(Abs(Curvature()) <= myLinTol)
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{
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LProp_NotDefined::Raise();
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}
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// we used here the following vector relation
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// a ^ (b ^ c) = b(ac) - c(ab)
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// Norm = d[0] ^ (d[1] ^ d[0])
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Vec Norm = myDerivArr[1] * (myDerivArr[0] * myDerivArr[0]) - myDerivArr[0] * (myDerivArr[0] * myDerivArr[1]);
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Norm.Normalize();
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Norm.Divide(myCurvature);
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P= myPnt.Translated(Norm);
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}
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