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68ad329c9d
Calculations in Adaptor2d_OffsetCurve are unified with similar calculations in Geom2d_OffsetCurve using methods extracted from Geom2dEvaluator_OffsetCurve to Geom2dEvaluator.cxx BRepFill_OffsetWire.cxx, Geom2dGcc_Circ2d2TanRadGeo.cxx, Geom2dGcc_Circ2dTanOnRadGeo.cxx, MAT2d_Circuit.cxx are modified to satisfy changing offset direction.
240 lines
8.7 KiB
C++
240 lines
8.7 KiB
C++
// 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.hxx>
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#include <gp_Pnt2d.hxx>
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#include <gp_Vec2d.hxx>
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#include <gp_XY.hxx>
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#include <Standard_NullValue.hxx>
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//=======================================================================
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//function : CalculateD0
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//purpose :
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//=======================================================================
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void Geom2dEvaluator::CalculateD0( gp_Pnt2d& theValue,
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const gp_Vec2d& theD1, const Standard_Real theOffset)
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{
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if (theD1.SquareMagnitude() <= gp::Resolution())
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throw Standard_NullValue("Geom2dEvaluator: 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() * theOffset);
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}
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//=======================================================================
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//function : CalculateD1
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//purpose :
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//=======================================================================
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void Geom2dEvaluator::CalculateD1(gp_Pnt2d& theValue,
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gp_Vec2d& theD1,
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const gp_Vec2d& theD2, const Standard_Real theOffset)
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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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throw Standard_NullValue("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(theOffset / 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(theOffset / R);
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DNdir.Subtract(Ndir.Multiplied(theOffset * Dr / R3));
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}
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Ndir.Multiply(theOffset / 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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//=======================================================================
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//function : CalculateD2
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//purpose :
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//=======================================================================
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void Geom2dEvaluator::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 Standard_Real theOffset)
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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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throw Standard_NullValue("Geom2dEvaluator: 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(theOffset / 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(theOffset / 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(theOffset / R);
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D2Ndir.Subtract(DNdir.Multiplied(2.0 * theOffset * Dr / R3));
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D2Ndir.Add(Ndir.Multiplied(theOffset * (((3.0 * Dr * Dr) / R5) - (D2r / R3))));
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// V1 = P' (U)
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DNdir.Multiply(theOffset / R);
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DNdir.Subtract(Ndir.Multiplied(theOffset * Dr / R3));
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}
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Ndir.Multiply(theOffset / 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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//=======================================================================
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//function : CalculateD3
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//purpose :
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//=======================================================================
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void Geom2dEvaluator::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 Standard_Real theOffset)
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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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throw Standard_NullValue("Geom2dEvaluator: 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) :
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D3Ndir.Subtract(D2Ndir.Multiplied(3.0 * theOffset * Dr / R2));
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D3Ndir.Subtract(
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(DNdir.Multiplied((3.0 * theOffset) * ((D2r / R2) + (Dr*Dr) / R4))));
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D3Ndir.Add(Ndir.Multiplied(
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(theOffset * (6.0*Dr*Dr / R4 + 6.0*Dr*D2r / R4 - 15.0*Dr*Dr*Dr / R6 - D3r))));
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D3Ndir.Multiply(theOffset / R);
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// V2 = P" (U) :
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R4 = R2 * R2;
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D2Ndir.Subtract(DNdir.Multiplied(2.0 * Dr / R2));
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D2Ndir.Subtract(Ndir.Multiplied(((3.0 * Dr * Dr) / R4) - (D2r / R2)));
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D2Ndir.Multiply(theOffset / 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(theOffset / 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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// V3 = P"' (U) :
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D3Ndir.Multiply(theOffset / R);
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D3Ndir.Subtract(D2Ndir.Multiplied(3.0 * theOffset * Dr / R3));
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D3Ndir.Subtract(DNdir.Multiplied(
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((3.0 * theOffset) * ((D2r / R3) + (Dr*Dr) / R5))));
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D3Ndir.Add(Ndir.Multiplied(
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(theOffset * (6.0*Dr*Dr / R5 + 6.0*Dr*D2r / R5 - 15.0*Dr*Dr*Dr / R7 - D3r))));
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// V2 = P" (U) :
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D2Ndir.Multiply(theOffset / R);
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D2Ndir.Subtract(DNdir.Multiplied(2.0 * theOffset * Dr / R3));
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D2Ndir.Subtract(Ndir.Multiplied(
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theOffset * (((3.0 * Dr * Dr) / R5) - (D2r / R3))));
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// V1 = P' (U) :
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DNdir.Multiply(theOffset / R);
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DNdir.Subtract(Ndir.Multiplied(theOffset * Dr / R3));
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}
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Ndir.Multiply(theOffset / 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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theD2.Add(gp_Vec2d(D2Ndir));
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// P"'(u)
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if (theIsDirChange)
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theD3.Reverse();
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theD3.Add(gp_Vec2d(D2Ndir));
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}
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