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0b4abfb9e2
Bug has been fixed. Test case for this issue has been created (with corresponding DRAW-command).
196 lines
8.1 KiB
C++
196 lines
8.1 KiB
C++
// 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 <gp.hxx>
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#include <gp_Ax1.hxx>
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#include <gp_Ax2.hxx>
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#include <gp_Ax3.hxx>
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#include <gp_Pnt.hxx>
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#include <gp_Torus.hxx>
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#include <gp_Trsf.hxx>
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#include <gp_Vec.hxx>
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#include <Standard_ConstructionError.hxx>
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#include <Standard_DimensionError.hxx>
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void gp_Torus::Coefficients (TColStd_Array1OfReal& theCoef) const
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{
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// R = majorRadius;
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// r = minorRadius.
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// X = (R + r*cos(V))*cos(U)
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// Y = (R + r*cos(V))*sin(U)
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// Z = r*sin(V)
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//Therefore,
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// 4*R*R*(r*r - Z*Z) = (X*X + Y*Y + Z*Z - R*R - r*r)^2
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//Or
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// X^4+Y^4+Z^4+
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// 2*((X*Y)^2+(X*Z)^2+(Y*Z)^2)-
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// 2*(R^2+r^2)*(X^2+Y^2)+
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// 2*(R^2-r^2)*Z^2+(R^2-r^2)^2 = 0.0
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const Standard_Integer aLowIndex = theCoef.Lower();
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Standard_DimensionError_Raise_if (theCoef.Length() < 35,
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"gp_Torus::theCoefficients(): Dimension mismatch");
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gp_Trsf aTr;
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aTr.SetTransformation (pos);
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const Standard_Real aT11 = aTr.Value (1, 1);
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const Standard_Real aT12 = aTr.Value (1, 2);
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const Standard_Real aT13 = aTr.Value (1, 3);
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const Standard_Real aT14 = aTr.Value (1, 4);
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const Standard_Real aT21 = aTr.Value (2, 1);
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const Standard_Real aT22 = aTr.Value (2, 2);
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const Standard_Real aT23 = aTr.Value (2, 3);
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const Standard_Real aT24 = aTr.Value (2, 4);
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const Standard_Real aT31 = aTr.Value (3, 1);
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const Standard_Real aT32 = aTr.Value (3, 2);
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const Standard_Real aT33 = aTr.Value (3, 3);
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const Standard_Real aT34 = aTr.Value (3, 4);
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const Standard_Real aTcol1sq = aT11*aT11 + aT21*aT21 + aT31*aT31;
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const Standard_Real aTcol2sq = aT12*aT12 + aT22*aT22 + aT32*aT32;
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const Standard_Real aTcol3sq = aT13*aT13 + aT23*aT23 + aT33*aT33;
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const Standard_Real aTcol4sq = aT14*aT14 + aT24*aT24 + aT34*aT34;
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const Standard_Real aTcol1Tcol2 = aT11*aT12 + aT21*aT22 + aT31*aT32;
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const Standard_Real aTcol1Tcol3 = aT11*aT13 + aT21*aT23 + aT31*aT33;
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const Standard_Real aTcol2Tcol3 = aT12*aT13 + aT22*aT23 + aT32*aT33;
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const Standard_Real aTcol1Tcol4 = aT11*aT14 + aT21*aT24 + aT31*aT34;
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const Standard_Real aTcol2Tcol4 = aT12*aT14 + aT22*aT24 + aT32*aT34;
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const Standard_Real aTcol3Tcol4 = aT13*aT14 + aT23*aT24 + aT33*aT34;
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const Standard_Real aSumRadius = (majorRadius*majorRadius +
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minorRadius*minorRadius);
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const Standard_Real aSubRadius = (majorRadius*majorRadius -
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minorRadius*minorRadius);
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/*
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After substitution
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Transpose([X Y Z 1]) = aTr*Transpose([X Y Z 1])
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we will obtain:
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*/
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theCoef(aLowIndex) = aTcol1sq*aTcol1sq; //X^4
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theCoef(aLowIndex+1) = aTcol2sq*aTcol2sq; //Y^4
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theCoef(aLowIndex+2) = aTcol3sq*aTcol3sq; //Z^4
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theCoef(aLowIndex+3) = 4.0*aTcol1sq*aTcol1Tcol2; //X^3*Y
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theCoef(aLowIndex+4) = 4.0*aTcol1sq*aTcol1Tcol3; //X^3*Z
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theCoef(aLowIndex+5) = 4.0*aTcol2sq*aTcol1Tcol2; //X*Y^3
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theCoef(aLowIndex+6) = 4.0*aTcol2sq*aTcol2Tcol3; //Y^3*Z
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theCoef(aLowIndex+7) = 4.0*aTcol3sq*aTcol1Tcol3; //X*Z^3
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theCoef(aLowIndex+8) = 4.0*aTcol3sq*aTcol2Tcol3; //Y*Z^3
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theCoef(aLowIndex+9) = 2.0*(aTcol1sq*aTcol2sq +
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2.0*aTcol1Tcol2*aTcol1Tcol2); //X^2*Y^2
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theCoef(aLowIndex+10) = 2.0*(aTcol1sq*aTcol3sq +
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2.0*aTcol1Tcol3*aTcol1Tcol3); //X^2*Z^2
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theCoef(aLowIndex+11) = 2.0*(aTcol2sq*aTcol3sq +
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2.0*aTcol2Tcol3*aTcol2Tcol3); //Y^2*Z^2
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theCoef(aLowIndex+12) = 4.0*(aTcol1sq*aTcol2Tcol3 +
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2.0*aTcol1Tcol2*aTcol1Tcol3); //X^2*Y*Z
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theCoef(aLowIndex+13) = 4.0*(aTcol2sq*aTcol1Tcol3 +
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2.0*aTcol1Tcol2*aTcol2Tcol3); //X*Y^2*Z
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theCoef(aLowIndex+14) = 4.0*(aTcol3sq*aTcol1Tcol2 +
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2.0*aTcol1Tcol3*aTcol2Tcol3); //X*Y*Z^2
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theCoef(aLowIndex+15) = 4.0*aTcol1sq*aTcol1Tcol4; //X^3
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theCoef(aLowIndex+16) = 4.0*aTcol2sq*aTcol2Tcol4; //Y^3
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theCoef(aLowIndex+17) = 4.0*aTcol3sq*aTcol3Tcol4; //Z^3
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theCoef(aLowIndex+18) = 4.0*(aTcol1sq*aTcol2Tcol4 +
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2.0*aTcol1Tcol4*aTcol1Tcol2); //X^2*Y
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theCoef(aLowIndex+19) = 4.0*(aTcol1sq*aTcol3Tcol4 +
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2.0*aTcol1Tcol4*aTcol1Tcol3); //X^2*Z
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theCoef(aLowIndex+20) = 4.0*(aTcol2sq*aTcol1Tcol4 +
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2.0*aTcol2Tcol4*aTcol1Tcol2); //X*Y^2
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theCoef(aLowIndex+21) = 4.0*(aTcol2sq*aTcol3Tcol4 +
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2.0*aTcol2Tcol4*aTcol2Tcol3); //Y^2*Z
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theCoef(aLowIndex+22) = 4.0*(aTcol3sq*aTcol1Tcol4 +
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2.0*aTcol3Tcol4*aTcol1Tcol3); //X*Z^2
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theCoef(aLowIndex+23) = 4.0*(aTcol3sq*aTcol2Tcol4 +
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2.0*aTcol3Tcol4*aTcol2Tcol3); //Y*Z^2
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theCoef(aLowIndex+24) = 8.0*(aTcol1Tcol2*aTcol3Tcol4 +
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aTcol2Tcol3*aTcol1Tcol4 +
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aTcol2Tcol4*aTcol1Tcol3); //X*Y*Z
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theCoef(aLowIndex+25) = 2.0*(aSubRadius*aT31*aT31 -
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aSumRadius*(aT11*aT11 + aT21*aT21) +
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aTcol4sq*aTcol1sq +
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2.0*aTcol1Tcol4*aTcol1Tcol4); //X^2
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theCoef(aLowIndex+26) = 2.0*(aSubRadius*aT32*aT32 -
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aSumRadius*(aT12*aT12 + aT22*aT22) +
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aTcol4sq*aTcol2sq +
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2.0*aTcol2Tcol4*aTcol2Tcol4); //Y^2
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theCoef(aLowIndex+27) = 2.0*(aSubRadius*aT33*aT33 -
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aSumRadius*(aT13*aT13 + aT23*aT23) +
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aTcol4sq*aTcol3sq +
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2.0*aTcol3Tcol4*aTcol3Tcol4); //Z^2
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theCoef(aLowIndex+28) = 4.0*(aSubRadius*aT31*aT32 -
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aSumRadius*(aT11*aT12 + aT21*aT22) +
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aTcol4sq*aTcol1Tcol2 +
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2.0*aTcol1Tcol4*aTcol2Tcol4); //X*Y
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theCoef(aLowIndex+29) = 4.0*(aSubRadius*aT31*aT33 -
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aSumRadius*(aT11*aT13 + aT21*aT23) +
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aTcol4sq*aTcol1Tcol3 +
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2.0*aTcol1Tcol4*aTcol3Tcol4); //X*Z
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theCoef(aLowIndex+30) = 4.0*(aSubRadius*aT32*aT33 -
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aSumRadius*(aT12*aT13 + aT22*aT23) +
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aTcol4sq*aTcol2Tcol3 +
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2.0*aTcol2Tcol4*aTcol3Tcol4); //Y*Z
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theCoef(aLowIndex+31) = 4.0*(aTcol4sq*aTcol1Tcol4 +
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aSubRadius*aT31*aT34 -
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aSumRadius*(aT11*aT14 + aT21*aT24)); //X
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theCoef(aLowIndex+32) = 4.0*(aTcol4sq*aTcol2Tcol4 +
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aSubRadius*aT32*aT34 -
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aSumRadius*(aT12*aT14 + aT22*aT24)); //Y
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theCoef(aLowIndex+33) = 4.0*(aTcol4sq*aTcol3Tcol4 +
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aSubRadius*aT33*aT34 -
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aSumRadius*(aT13*aT14 + aT23*aT24)); //Z;
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theCoef(aLowIndex+34) = 2.0*aSubRadius*aT34*aT34 -
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2.0*aSumRadius*(aT14*aT14 + aT24*aT24) +
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aTcol4sq*aTcol4sq + aSubRadius*aSubRadius;
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}
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void gp_Torus::Mirror (const gp_Pnt& P)
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{ pos.Mirror (P); }
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gp_Torus gp_Torus::Mirrored (const gp_Pnt& P) const
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{
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gp_Torus C = *this;
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C.pos.Mirror (P);
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return C;
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}
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void gp_Torus::Mirror (const gp_Ax1& A1)
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{ pos.Mirror (A1); }
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gp_Torus gp_Torus::Mirrored (const gp_Ax1& A1) const
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{
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gp_Torus C = *this;
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C.pos.Mirror (A1);
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return C;
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}
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void gp_Torus::Mirror (const gp_Ax2& A2)
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{ pos.Mirror (A2); }
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gp_Torus gp_Torus::Mirrored (const gp_Ax2& A2) const
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{
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gp_Torus C = *this;
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C.pos.Mirror (A2);
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return C;
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}
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