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526c506cb0
BRepLib/BRepLib_FindSurface.cxx = removing very small values from coordinate of normal bug32859 - test case added
590 lines
18 KiB
C++
590 lines
18 KiB
C++
// Created on: 1994-07-22
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// Created by: Remi LEQUETTE
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// Copyright (c) 1994-1999 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 <BRep_Builder.hxx>
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#include <BRep_Tool.hxx>
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#include <BRepAdaptor_Curve.hxx>
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#include <BRepAdaptor_Surface.hxx>
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#include <BRepLib_FindSurface.hxx>
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#include <BRepLib_MakeFace.hxx>
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#include <BRepTools_WireExplorer.hxx>
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#include <BRepTopAdaptor_FClass2d.hxx>
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#include <Geom2d_Curve.hxx>
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#include <Geom_BezierCurve.hxx>
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#include <Geom_BSplineCurve.hxx>
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#include <Geom_Plane.hxx>
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#include <Geom_RectangularTrimmedSurface.hxx>
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#include <Geom_Surface.hxx>
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#include <gp_Ax3.hxx>
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#include <gp_Vec.hxx>
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#include <math_Jacobi.hxx>
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#include <math_Matrix.hxx>
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#include <math_Vector.hxx>
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#include <Precision.hxx>
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#include <Standard_ErrorHandler.hxx>
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#include <TColgp_SequenceOfPnt.hxx>
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#include <TColStd_SequenceOfReal.hxx>
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#include <TopExp.hxx>
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#include <TopExp_Explorer.hxx>
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#include <TopLoc_Location.hxx>
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#include <TopoDS.hxx>
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#include <TopoDS_Shape.hxx>
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#include <TopoDS_Vertex.hxx>
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#include <TopoDS_Wire.hxx>
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#include <NCollection_Vector.hxx>
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//=======================================================================
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//function : Controle
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//purpose :
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//=======================================================================
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static Standard_Real Controle(const TColgp_SequenceOfPnt& thePoints,
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const Handle(Geom_Plane)& thePlane)
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{
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Standard_Real dfMaxDist=0.;
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Standard_Real a,b,c,d, dist;
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Standard_Integer ii;
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thePlane->Coefficients(a,b,c,d);
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for (ii=1; ii<=thePoints.Length(); ii++) {
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const gp_XYZ& xyz = thePoints(ii).XYZ();
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dist = Abs(a*xyz.X() + b*xyz.Y() + c*xyz.Z() + d);
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if (dist > dfMaxDist)
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dfMaxDist = dist;
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}
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return dfMaxDist;
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}
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//=======================================================================
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//function : Is2DConnected
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//purpose : Return true if the last vertex of theEdge1 coincides with
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// the first vertex of theEdge2 in parametric space of theFace
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//=======================================================================
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inline static Standard_Boolean Is2DConnected(const TopoDS_Edge& theEdge1,
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const TopoDS_Edge& theEdge2,
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const Handle(Geom_Surface)& theSurface,
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const TopLoc_Location& theLocation)
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{
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Standard_Real f,l;
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//TopLoc_Location aLoc;
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Handle(Geom2d_Curve) aCurve;
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gp_Pnt2d p1, p2;
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// get 2D points
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aCurve=BRep_Tool::CurveOnSurface(theEdge1, theSurface, theLocation, f, l);
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p1 = aCurve->Value( theEdge1.Orientation() == TopAbs_FORWARD ? l : f );
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aCurve=BRep_Tool::CurveOnSurface(theEdge2, theSurface, theLocation, f, l);
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p2 = aCurve->Value( theEdge2.Orientation() == TopAbs_FORWARD ? f : l );
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// compare 2D points
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GeomAdaptor_Surface aSurface( theSurface );
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TopoDS_Vertex aV = TopExp::FirstVertex( theEdge2, Standard_True );
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Standard_Real tol3D = BRep_Tool::Tolerance( aV );
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Standard_Real tol2D = aSurface.UResolution( tol3D ) + aSurface.VResolution( tol3D );
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Standard_Real dist2 = p1.SquareDistance( p2 );
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return dist2 < tol2D * tol2D;
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}
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//=======================================================================
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//function : Is2DClosed
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//purpose : Return true if edges of theShape form a closed wire in
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// parametric space of theSurface
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//=======================================================================
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static Standard_Boolean Is2DClosed(const TopoDS_Shape& theShape,
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const Handle(Geom_Surface)& theSurface,
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const TopLoc_Location& theLocation)
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{
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try
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{
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OCC_CATCH_SIGNALS
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// get a wire theShape
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TopExp_Explorer aWireExp( theShape, TopAbs_WIRE );
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if ( !aWireExp.More() ) {
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return Standard_False;
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}
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TopoDS_Wire aWire = TopoDS::Wire( aWireExp.Current() );
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// a tmp face
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TopoDS_Face aTmpFace = BRepLib_MakeFace( theSurface, Precision::PConfusion() );
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// check topological closeness using wire explorer, if the wire is not closed
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// the 1st and the last vertices of wire are different
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BRepTools_WireExplorer aWireExplorer( aWire, aTmpFace );
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if ( !aWireExplorer.More()) {
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return Standard_False;
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}
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// remember the 1st and the last edges of aWire
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TopoDS_Edge aFisrtEdge = aWireExplorer.Current(), aLastEdge = aFisrtEdge;
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// check if edges connected topologically (that is assured by BRepTools_WireExplorer)
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// are connected in 2D
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TopoDS_Edge aPrevEdge = aFisrtEdge;
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for ( aWireExplorer.Next(); aWireExplorer.More(); aWireExplorer.Next() ) {
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aLastEdge = aWireExplorer.Current();
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if ( !Is2DConnected( aPrevEdge, aLastEdge, theSurface, theLocation)) {
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return false;
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}
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aPrevEdge = aLastEdge;
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}
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// wire is closed if ( 1st vertex of aFisrtEdge ) ==
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// ( last vertex of aLastEdge ) in 2D
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TopoDS_Vertex aV1 = TopExp::FirstVertex( aFisrtEdge, Standard_True );
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TopoDS_Vertex aV2 = TopExp::LastVertex( aLastEdge, Standard_True );
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return ( aV1.IsSame( aV2 ) && Is2DConnected( aLastEdge, aFisrtEdge, theSurface, theLocation));
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}
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catch (Standard_Failure const&) {
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return Standard_False;
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}
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}
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//=======================================================================
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//function : BRepLib_FindSurface
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//purpose :
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//=======================================================================
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BRepLib_FindSurface::BRepLib_FindSurface()
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: myTolerance(0.0),
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myTolReached(0.0),
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isExisted(Standard_False)
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{
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}
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//=======================================================================
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//function : BRepLib_FindSurface
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//purpose :
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//=======================================================================
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BRepLib_FindSurface::BRepLib_FindSurface(const TopoDS_Shape& S,
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const Standard_Real Tol,
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const Standard_Boolean OnlyPlane,
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const Standard_Boolean OnlyClosed)
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{
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Init(S,Tol,OnlyPlane,OnlyClosed);
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}
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namespace
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{
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static void fillParams (const TColStd_Array1OfReal& theKnots,
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Standard_Integer theDegree,
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Standard_Real theParMin,
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Standard_Real theParMax,
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NCollection_Vector<Standard_Real>& theParams)
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{
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Standard_Real aPrevPar = theParMin;
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theParams.Append (aPrevPar);
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Standard_Integer aNbP = Max (theDegree, 1);
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for (Standard_Integer i = 1;
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(i < theKnots.Length()) && (theKnots (i) < (theParMax - Precision::PConfusion())); ++i)
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{
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if (theKnots (i + 1) < theParMin + Precision::PConfusion())
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continue;
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Standard_Real aStep = (theKnots (i + 1) - theKnots (i)) / aNbP;
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for (Standard_Integer k = 1; k <= aNbP ; ++k)
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{
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Standard_Real aPar = theKnots (i) + k * aStep;
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if (aPar > theParMax - Precision::PConfusion())
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break;
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if (aPar > aPrevPar + Precision::PConfusion())
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{
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theParams.Append (aPar);
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aPrevPar = aPar;
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}
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}
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}
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theParams.Append (theParMax);
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}
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static void fillPoints (const BRepAdaptor_Curve& theCurve,
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const NCollection_Vector<Standard_Real>& theParams,
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TColgp_SequenceOfPnt& thePoints,
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TColStd_SequenceOfReal& theWeights)
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{
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Standard_Real aDistPrev = 0., aDistNext;
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gp_Pnt aPPrev (theCurve.Value (theParams (0))), aPNext;
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for (Standard_Integer iP = 1; iP <= theParams.Length(); ++iP)
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{
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if (iP < theParams.Length())
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{
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Standard_Real aParam = theParams (iP);
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aPNext = theCurve.Value (aParam);
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aDistNext = aPPrev.Distance (aPNext);
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}
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else
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aDistNext = 0.0;
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thePoints.Append (aPPrev);
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theWeights.Append (aDistPrev + aDistNext);
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aDistPrev = aDistNext;
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aPPrev = aPNext;
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}
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}
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}
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//=======================================================================
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//function : Init
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//purpose :
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//=======================================================================
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void BRepLib_FindSurface::Init(const TopoDS_Shape& S,
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const Standard_Real Tol,
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const Standard_Boolean OnlyPlane,
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const Standard_Boolean OnlyClosed)
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{
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myTolerance = Tol;
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myTolReached = 0.;
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isExisted = Standard_False;
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myLocation.Identity();
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mySurface.Nullify();
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// compute the tolerance
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TopExp_Explorer ex;
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for (ex.Init(S,TopAbs_EDGE); ex.More(); ex.Next()) {
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Standard_Real t = BRep_Tool::Tolerance(TopoDS::Edge(ex.Current()));
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if (t > myTolerance) myTolerance = t;
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}
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// search an existing surface
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ex.Init(S,TopAbs_EDGE);
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if (!ex.More()) return; // no edges ....
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TopoDS_Edge E = TopoDS::Edge(ex.Current());
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Standard_Real f,l,ff,ll;
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Handle(Geom2d_Curve) PC,aPPC;
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Handle(Geom_Surface) SS;
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TopLoc_Location L;
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Standard_Integer i = 0,j;
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// iterate on the surfaces of the first edge
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for(;;) {
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i++;
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BRep_Tool::CurveOnSurface(E,PC,mySurface,myLocation,f,l,i);
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if (mySurface.IsNull()) {
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break;
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}
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// check the other edges
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for (ex.Init(S,TopAbs_EDGE); ex.More(); ex.Next()) {
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if (!E.IsSame(ex.Current())) {
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j = 0;
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for(;;) {
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j++;
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BRep_Tool::CurveOnSurface(TopoDS::Edge(ex.Current()),aPPC,SS,L,ff,ll,j);
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if (SS.IsNull()) {
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break;
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}
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if ((SS == mySurface) && (L.IsEqual(myLocation))) {
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break;
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}
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SS.Nullify();
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}
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if (SS.IsNull()) {
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mySurface.Nullify();
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break;
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}
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}
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}
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// if OnlyPlane, eval if mySurface is a plane.
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if ( OnlyPlane && !mySurface.IsNull() )
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{
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if ( mySurface->IsKind( STANDARD_TYPE(Geom_RectangularTrimmedSurface)))
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mySurface = Handle(Geom_RectangularTrimmedSurface)::DownCast(mySurface)->BasisSurface();
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mySurface = Handle(Geom_Plane)::DownCast(mySurface);
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}
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if (!mySurface.IsNull())
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// if S is e.g. the bottom face of a cylinder, mySurface can be the
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// lateral (cylindrical) face of the cylinder; reject an improper mySurface
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if ( !OnlyClosed || Is2DClosed( S, mySurface, myLocation ))
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break;
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}
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if (!mySurface.IsNull()) {
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isExisted = Standard_True;
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return;
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}
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//
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// no existing surface, search a plane
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// 07/02/02 akm vvv : (OCC157) changed algorithm
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// 1. Collect the points along all edges of the shape
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// For each point calculate the WEIGHT = sum of
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// distances from neighboring points (_only_ same edge)
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// 2. Minimizing the weighed sum of squared deviations
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// compute coefficients of the sought plane.
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TColgp_SequenceOfPnt aPoints;
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TColStd_SequenceOfReal aWeight;
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// ======================= Step #1
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for (ex.Init(S,TopAbs_EDGE); ex.More(); ex.Next())
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{
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BRepAdaptor_Curve c(TopoDS::Edge(ex.Current()));
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Standard_Real dfUf = c.FirstParameter();
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Standard_Real dfUl = c.LastParameter();
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if (IsEqual(dfUf,dfUl)) {
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// Degenerate
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continue;
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}
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Standard_Integer iNbPoints=0;
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// Fill the parameters of the sampling points
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NCollection_Vector<Standard_Real> aParams;
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switch (c.GetType())
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{
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case GeomAbs_BezierCurve:
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{
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Handle(Geom_BezierCurve) GC = c.Bezier();
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TColStd_Array1OfReal aKnots (1, 2);
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aKnots.SetValue (1, GC->FirstParameter());
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aKnots.SetValue (2, GC->LastParameter());
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fillParams (aKnots, GC->Degree(), dfUf, dfUl, aParams);
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break;
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}
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case GeomAbs_BSplineCurve:
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{
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Handle(Geom_BSplineCurve) GC = c.BSpline();
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fillParams (GC->Knots(), GC->Degree(), dfUf, dfUl, aParams);
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break;
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}
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case GeomAbs_Line:
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{
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// Two points on a straight segment
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aParams.Append (dfUf);
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aParams.Append (dfUl);
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break;
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}
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case GeomAbs_Circle:
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case GeomAbs_Ellipse:
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case GeomAbs_Hyperbola:
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case GeomAbs_Parabola:
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// Four points on other analytical curves
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iNbPoints = 4;
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Standard_FALLTHROUGH
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default:
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{
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// Put some points on other curves
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if (iNbPoints == 0)
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iNbPoints = 15 + c.NbIntervals (GeomAbs_C3);
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TColStd_Array1OfReal aBounds (1, 2);
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aBounds.SetValue (1, dfUf);
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aBounds.SetValue (2, dfUl);
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fillParams (aBounds, iNbPoints - 1, dfUf, dfUl, aParams);
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}
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}
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// Add the points with weights to the sequences
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fillPoints (c, aParams, aPoints, aWeight);
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}
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if (aPoints.Length() < 3) {
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return;
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}
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// ======================= Step #2
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myLocation.Identity();
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Standard_Integer iPoint;
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math_Matrix aMat (1,3,1,3, 0.);
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math_Vector aVec (1,3, 0.);
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// Find the barycenter and normalize weights
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Standard_Real dfMaxWeight=0.;
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gp_XYZ aBaryCenter(0.,0.,0.);
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Standard_Real dfSumWeight=0.;
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for (iPoint=1; iPoint<=aPoints.Length(); iPoint++) {
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Standard_Real dfW = aWeight(iPoint);
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aBaryCenter += dfW*aPoints(iPoint).XYZ();
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dfSumWeight += dfW;
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if (dfW > dfMaxWeight) {
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dfMaxWeight = dfW;
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}
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}
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aBaryCenter /= dfSumWeight;
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// Fill the matrix and the right vector
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for (iPoint=1; iPoint<=aPoints.Length(); iPoint++) {
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gp_XYZ p=aPoints(iPoint).XYZ()-aBaryCenter;
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Standard_Real w=aWeight(iPoint)/dfMaxWeight;
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aMat(1,1)+=w*p.X()*p.X();
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aMat(1,2)+=w*p.X()*p.Y();
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aMat(1,3)+=w*p.X()*p.Z();
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//
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aMat(2,2)+=w*p.Y()*p.Y();
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aMat(2,3)+=w*p.Y()*p.Z();
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//
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aMat(3,3)+=w*p.Z()*p.Z();
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}
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aMat(2,1) = aMat(1,2);
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aMat(3,1) = aMat(1,3);
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aMat(3,2) = aMat(2,3);
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//
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math_Jacobi anEignval(aMat);
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math_Vector anEVals(1,3);
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Standard_Boolean isSolved = anEignval.IsDone();
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Standard_Integer isol = 0;
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if(isSolved)
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{
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anEVals = anEignval.Values();
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//We need vector with eigenvalue ~ 0.
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Standard_Real anEMin = RealLast();
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Standard_Real anEMax = -anEMin;
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for(i = 1; i <= 3; ++i)
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{
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Standard_Real anE = Abs(anEVals(i));
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if(anEMin > anE)
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{
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anEMin = anE;
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isol = i;
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}
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if(anEMax < anE)
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{
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anEMax = anE;
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}
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}
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if(isol == 0)
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{
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isSolved = Standard_False;
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}
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else
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{
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Standard_Real eps = Epsilon(anEMax);
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if(anEMin <= eps)
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{
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anEignval.Vector(isol, aVec);
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}
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else
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{
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//try using vector product of other axes
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Standard_Integer ind[2] = {0,0};
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for(i = 1; i <= 3; ++i)
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{
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if(i == isol)
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{
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continue;
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}
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if(ind[0] == 0)
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{
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ind[0] = i;
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continue;
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}
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if(ind[1] == 0)
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{
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ind[1] = i;
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continue;
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}
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}
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math_Vector aVec1(1, 3, 0.), aVec2(1, 3, 0.);
|
|
anEignval.Vector(ind[0], aVec1);
|
|
anEignval.Vector(ind[1], aVec2);
|
|
gp_Vec aV1(aVec1(1), aVec1(2), aVec1(3));
|
|
gp_Vec aV2(aVec2(1), aVec2(2), aVec2(3));
|
|
gp_Vec aN = aV1^ aV2;
|
|
aVec(1) = aN.X();
|
|
aVec(2) = aN.Y();
|
|
aVec(3) = aN.Z();
|
|
}
|
|
if (aVec.Norm2() < gp::Resolution()) {
|
|
isSolved = Standard_False;
|
|
}
|
|
}
|
|
}
|
|
|
|
if (!isSolved)
|
|
return;
|
|
//Removing very small values
|
|
Standard_Real aMaxV = Max(Abs(aVec(1)), Max(Abs(aVec(2)), Abs(aVec(3))));
|
|
Standard_Real eps = Epsilon(aMaxV);
|
|
for (i = 1; i <= 3; ++i)
|
|
{
|
|
if (Abs(aVec(i)) <= eps)
|
|
aVec(i) = 0.;
|
|
}
|
|
gp_Vec aN (aVec (1), aVec (2), aVec (3));
|
|
Handle(Geom_Plane) aPlane = new Geom_Plane (aBaryCenter, aN);
|
|
myTolReached = Controle (aPoints, aPlane);
|
|
const Standard_Real aWeakness = 5.0;
|
|
if (myTolReached <= myTolerance || (Tol < 0 && myTolReached < myTolerance * aWeakness))
|
|
{
|
|
mySurface = aPlane;
|
|
//If S is wire, try to orient surface according to orientation of wire.
|
|
if (S.ShapeType() == TopAbs_WIRE && S.Closed())
|
|
{
|
|
TopoDS_Wire aW = TopoDS::Wire (S);
|
|
TopoDS_Face aTmpFace = BRepLib_MakeFace (mySurface, Precision::Confusion());
|
|
BRep_Builder BB;
|
|
BB.Add (aTmpFace, aW);
|
|
BRepTopAdaptor_FClass2d FClass (aTmpFace, 0.);
|
|
if (FClass.PerformInfinitePoint() == TopAbs_IN)
|
|
{
|
|
gp_Dir aNorm = aPlane->Position().Direction();
|
|
aNorm.Reverse();
|
|
mySurface = new Geom_Plane (aPlane->Position().Location(), aNorm);
|
|
}
|
|
}
|
|
}
|
|
}
|
|
//=======================================================================
|
|
//function : Found
|
|
//purpose :
|
|
//=======================================================================
|
|
Standard_Boolean BRepLib_FindSurface::Found() const
|
|
{
|
|
return !mySurface.IsNull();
|
|
}
|
|
//=======================================================================
|
|
//function : Surface
|
|
//purpose :
|
|
//=======================================================================
|
|
Handle(Geom_Surface) BRepLib_FindSurface::Surface() const
|
|
{
|
|
return mySurface;
|
|
}
|
|
//=======================================================================
|
|
//function : Tolerance
|
|
//purpose :
|
|
//=======================================================================
|
|
Standard_Real BRepLib_FindSurface::Tolerance() const
|
|
{
|
|
return myTolerance;
|
|
}
|
|
//=======================================================================
|
|
//function : ToleranceReached
|
|
//purpose :
|
|
//=======================================================================
|
|
Standard_Real BRepLib_FindSurface::ToleranceReached() const
|
|
{
|
|
return myTolReached;
|
|
}
|
|
//=======================================================================
|
|
//function : Existed
|
|
//purpose :
|
|
//=======================================================================
|
|
Standard_Boolean BRepLib_FindSurface::Existed() const
|
|
{
|
|
return isExisted;
|
|
}
|
|
//=======================================================================
|
|
//function : Location
|
|
//purpose :
|
|
//=======================================================================
|
|
TopLoc_Location BRepLib_FindSurface::Location() const
|
|
{
|
|
return myLocation;
|
|
}
|
|
|