-// Copyright (C) 2014-20xx CEA/DEN, EDF R&D
-
-// File: GeomAPI_Face.cpp
-// Created: 2 Dec 2014
-// Author: Artem ZHIDKOV
+// Copyright (C) 2014-2023 CEA, EDF
+//
+// This library is free software; you can redistribute it and/or
+// modify it under the terms of the GNU Lesser General Public
+// License as published by the Free Software Foundation; either
+// version 2.1 of the License, or (at your option) any later version.
+//
+// This library is distributed in the hope that it will be useful,
+// but WITHOUT ANY WARRANTY; without even the implied warranty of
+// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+// Lesser General Public License for more details.
+//
+// You should have received a copy of the GNU Lesser General Public
+// License along with this library; if not, write to the Free Software
+// Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
+//
+// See http://www.salome-platform.org/ or email : webmaster.salome@opencascade.com
+//
#include "GeomAPI_Face.h"
#include "GeomAPI_Dir.h"
#include "GeomAPI_Pln.h"
#include "GeomAPI_Pnt.h"
+#include "GeomAPI_Sphere.h"
+#include "GeomAPI_Curve.h"
+#include "GeomAPI_Cylinder.h"
+#include "GeomAPI_Cone.h"
+#include "GeomAPI_Torus.h"
+
+#include <Basics_OCCTVersion.hxx>
+#include <Bnd_Box2d.hxx>
+#include <BndLib_Add2dCurve.hxx>
#include <BOPTools_AlgoTools.hxx>
#include <BRep_Tool.hxx>
#include <BRepAdaptor_Surface.hxx>
+#include <BRepGProp_Face.hxx>
+#include <BRepTools.hxx>
+#include <BRepTopAdaptor_TopolTool.hxx>
#include <Geom_Surface.hxx>
+#include <Geom_SphericalSurface.hxx>
+#include <Geom_ConicalSurface.hxx>
#include <Geom_CylindricalSurface.hxx>
+#include <Geom_OffsetSurface.hxx>
+#include <Geom_Plane.hxx>
#include <Geom_RectangularTrimmedSurface.hxx>
+#include <Geom_SurfaceOfLinearExtrusion.hxx>
+#include <Geom_SurfaceOfRevolution.hxx>
+#include <Geom_SweptSurface.hxx>
+#include <Geom_ToroidalSurface.hxx>
+#include <GeomAPI_ExtremaCurveCurve.hxx>
#include <GeomLib_IsPlanarSurface.hxx>
+#include <IntPatch_ImpImpIntersection.hxx>
#include <IntTools_Context.hxx>
+#include <Standard_Type.hxx>
#include <TopoDS.hxx>
#include <TopoDS_Face.hxx>
+#if OCC_VERSION_LARGE < 0x07070000
+#include <GeomAdaptor_HSurface.hxx>
+#else
+#include <GeomAdaptor_Surface.hxx>
+#endif
+
+#include <gp_Sphere.hxx>
+#include <gp_Cylinder.hxx>
+#include <gp_Cone.hxx>
+#include <gp_Torus.hxx>
+
+static void optimalBounds(const TopoDS_Face& theFace, double& theUMin, double& theUMax,
+ double& theVMin, double& theVMax);
+
+
GeomAPI_Face::GeomAPI_Face()
: GeomAPI_Shape()
{
return false;
Handle(IntTools_Context) aContext = new IntTools_Context();
- Standard_Boolean aRes = BOPTools_AlgoTools::CheckSameGeom(aMyFace, aInFace, aContext);
+ // Double check needed because BOPTools_AlgoTools::AreFacesSameDomain not very smart.
+ Standard_Boolean aRes = BOPTools_AlgoTools::AreFacesSameDomain(aMyFace, aInFace, aContext)
+ && BOPTools_AlgoTools::AreFacesSameDomain(aInFace, aMyFace, aContext);
return aRes == Standard_True;
}
+static Handle(Geom_Surface) baseSurface(const TopoDS_Face& theFace)
+{
+ Handle(Geom_Surface) aSurf = BRep_Tool::Surface(theFace);
+ while (aSurf->IsKind(STANDARD_TYPE(Geom_RectangularTrimmedSurface))) {
+ Handle(Geom_RectangularTrimmedSurface) rts =
+ Handle(Geom_RectangularTrimmedSurface)::DownCast(aSurf);
+ aSurf = rts->BasisSurface();
+ }
+ return aSurf;
+}
+
+bool GeomAPI_Face::isSameGeometry(const std::shared_ptr<GeomAPI_Shape> theShape) const
+{
+ if (!theShape->isFace())
+ return false;
+ if (isSame(theShape))
+ return true;
+
+ GeomFacePtr anOther = theShape->face();
+ if (isPlanar() && anOther->isPlanar()) {
+ GeomPlanePtr anOwnPlane = getPlane();
+ GeomPlanePtr anOtherPlane = anOther->getPlane();
+ return anOwnPlane->isCoincident(anOtherPlane);
+ }
+
+ TopoDS_Face anOwnFace = TopoDS::Face(impl<TopoDS_Shape>());
+ TopoDS_Face anOtherFace = TopoDS::Face(theShape->impl<TopoDS_Shape>());
+
+ Handle(Geom_Surface) anOwnSurf = baseSurface(anOwnFace);
+ Handle(Geom_Surface) anOtherSurf = baseSurface(anOtherFace);
+ if (anOwnSurf == anOtherSurf)
+ return true;
+
+ // case of two elementary surfaces
+ if (anOwnSurf->IsKind(STANDARD_TYPE(Geom_ElementarySurface)) &&
+ anOtherSurf->IsKind(STANDARD_TYPE(Geom_ElementarySurface)))
+ {
+#if OCC_VERSION_LARGE < 0x07070000
+ Handle(GeomAdaptor_HSurface) aGA1 = new GeomAdaptor_HSurface(anOwnSurf);
+ Handle(GeomAdaptor_HSurface) aGA2 = new GeomAdaptor_HSurface(anOtherSurf);
+#else
+ Handle(GeomAdaptor_Surface) aGA1 = new GeomAdaptor_Surface(anOwnSurf);
+ Handle(GeomAdaptor_Surface) aGA2 = new GeomAdaptor_Surface(anOtherSurf);
+#endif
+
+ Handle(BRepTopAdaptor_TopolTool) aTT1 = new BRepTopAdaptor_TopolTool();
+ Handle(BRepTopAdaptor_TopolTool) aTT2 = new BRepTopAdaptor_TopolTool();
+
+ try {
+ IntPatch_ImpImpIntersection anIIInt(aGA1, aTT1, aGA2, aTT2,
+ Precision::Confusion(),
+ Precision::Confusion());
+ if (!anIIInt.IsDone() || anIIInt.IsEmpty())
+ return false;
+
+ return anIIInt.TangentFaces();
+ }
+ catch (Standard_Failure const&) {
+ return false;
+ }
+ }
+
+ // case of two cylindrical surfaces, at least one of which is a swept surface
+ // swept surfaces: SurfaceOfLinearExtrusion, SurfaceOfRevolution
+ if ((anOwnSurf->IsKind(STANDARD_TYPE(Geom_CylindricalSurface)) ||
+ anOwnSurf->IsKind(STANDARD_TYPE(Geom_SweptSurface))) &&
+ (anOtherSurf->IsKind(STANDARD_TYPE(Geom_CylindricalSurface)) ||
+ anOtherSurf->IsKind(STANDARD_TYPE(Geom_SweptSurface))))
+ {
+ GeomCylinderPtr anOwnCyl = getCylinder();
+ GeomCylinderPtr anOtherCyl = anOther->getCylinder();
+ if (anOwnCyl && anOtherCyl)
+ return anOwnCyl->isCoincident(anOtherCyl);
+
+ // compare two swept surfaces of the same type
+ if ((anOwnSurf->IsKind(STANDARD_TYPE(Geom_SurfaceOfLinearExtrusion)) &&
+ anOtherSurf->IsKind(STANDARD_TYPE(Geom_SurfaceOfLinearExtrusion))) ||
+ (anOwnSurf->IsKind(STANDARD_TYPE(Geom_SurfaceOfRevolution)) &&
+ anOtherSurf->IsKind(STANDARD_TYPE(Geom_SurfaceOfRevolution)))) {
+ Handle(Geom_SweptSurface) anOwnSwept = Handle(Geom_SweptSurface)::DownCast(anOwnSurf);
+ Handle(Geom_SweptSurface) anOtherSwept = Handle(Geom_SweptSurface)::DownCast(anOtherSurf);
+
+ const gp_Dir& anOwnDir = anOwnSwept->Direction();
+ const gp_Dir& anOtherDir = anOtherSwept->Direction();
+
+ if (anOwnDir.IsParallel(anOtherDir, Precision::Angular())) {
+ Handle(Geom_Curve) anOwnCurve = anOwnSwept->BasisCurve();
+ Handle(Geom_Curve) anOtherCurve = anOtherSwept->BasisCurve();
+ GeomAPI_ExtremaCurveCurve anExtrema(anOwnCurve, anOtherCurve);
+ return anExtrema.Extrema().IsParallel() &&
+ anExtrema.TotalLowerDistance() < Precision::Confusion();
+ }
+ }
+ }
+
+ return false;
+}
+
bool GeomAPI_Face::isCylindrical() const
{
const TopoDS_Shape& aShape = const_cast<GeomAPI_Face*>(this)->impl<TopoDS_Shape>();
Handle(Geom_Surface) aSurf = BRep_Tool::Surface(aFace);
if (aSurf.IsNull())
return aResult; // no surface
- GeomLib_IsPlanarSurface isPlanar(aSurf);
- if(!isPlanar.IsPlanar()) {
- return aResult;
+ GeomLib_IsPlanarSurface isPlanarSurf(aSurf);
+ gp_Pln aPln;
+ bool isPlanar = false;
+ if (isPlanarSurf.IsPlanar()) {
+ aPln = isPlanarSurf.Plan();
+ isPlanar = true;
+ }
+ else if (aSurf->IsKind(STANDARD_TYPE(Geom_OffsetSurface))) {
+ Handle(Geom_OffsetSurface) anOffsetSurf = Handle(Geom_OffsetSurface)::DownCast(aSurf);
+ Handle(Geom_Surface) aBasisSurf = anOffsetSurf->BasisSurface();
+ if (aBasisSurf->IsKind(STANDARD_TYPE(Geom_Plane))) {
+ aPln = Handle(Geom_Plane)::DownCast(aBasisSurf)->Pln();
+ gp_Vec aTranslation(aPln.Axis().Direction().XYZ() * anOffsetSurf->Offset());
+ aPln.Translate(aTranslation);
+ isPlanar = true;
+ }
}
- gp_Pln aPln = isPlanar.Plan();
- double aA, aB, aC, aD;
- aPln.Coefficients(aA, aB, aC, aD);
- if (aFace.Orientation() == TopAbs_REVERSED) {
- aA = -aA;
- aB = -aB;
- aC = -aC;
- aD = -aD;
+
+ if (isPlanar) {
+ double aA, aB, aC, aD;
+ aPln.Coefficients(aA, aB, aC, aD);
+ if (aFace.Orientation() == TopAbs_REVERSED) {
+ aA = -aA;
+ aB = -aB;
+ aC = -aC;
+ aD = -aD;
+ }
+ aResult = std::shared_ptr<GeomAPI_Pln>(new GeomAPI_Pln(aA, aB, aC, aD));
}
- aResult = std::shared_ptr<GeomAPI_Pln>(new GeomAPI_Pln(aA, aB, aC, aD));
return aResult;
}
+
+std::shared_ptr<GeomAPI_Sphere> GeomAPI_Face::getSphere() const
+{
+ GeomSpherePtr aSphere;
+
+ const TopoDS_Face& aFace = TopoDS::Face(impl<TopoDS_Shape>());
+ Handle(Geom_Surface) aSurf = BRep_Tool::Surface(aFace);
+ if (aSurf->IsKind(STANDARD_TYPE(Geom_SphericalSurface))) {
+ gp_Sphere aSph = Handle(Geom_SphericalSurface)::DownCast(aSurf)->Sphere();
+ const gp_Pnt& aCenter = aSph.Location();
+ double aRadius = aSph.Radius();
+
+ GeomPointPtr aCenterPnt(new GeomAPI_Pnt(aCenter.X(), aCenter.Y(), aCenter.Z()));
+ aSphere = GeomSpherePtr(new GeomAPI_Sphere(aCenterPnt, aRadius));
+ }
+ return aSphere;
+}
+
+std::shared_ptr<GeomAPI_Cylinder> GeomAPI_Face::getCylinder() const
+{
+ GeomCylinderPtr aCylinder;
+
+ const TopoDS_Face& aFace = TopoDS::Face(impl<TopoDS_Shape>());
+ Handle(Geom_Surface) aSurf = BRep_Tool::Surface(aFace);
+ if (aSurf->IsKind(STANDARD_TYPE(Geom_CylindricalSurface))) {
+ gp_Cylinder aCyl = Handle(Geom_CylindricalSurface)::DownCast(aSurf)->Cylinder();
+ gp_Pnt aLoc = aCyl.Location();
+ const gp_Dir& aDir = aCyl.Position().Direction();
+ double aRadius = aCyl.Radius();
+
+ double aUMin, aUMax, aVMin, aVMax;
+ BRepTools::UVBounds(aFace, aUMin, aUMax, aVMin, aVMax);
+ double aHeight = aVMax - aVMin;
+
+ aLoc.ChangeCoord() += aDir.XYZ() * aVMin;
+ GeomPointPtr aLocation(new GeomAPI_Pnt(aLoc.X(), aLoc.Y(), aLoc.Z()));
+ GeomDirPtr aDirection(new GeomAPI_Dir(aDir.X(), aDir.Y(), aDir.Z()));
+ aCylinder = GeomCylinderPtr(new GeomAPI_Cylinder(aLocation, aDirection, aRadius, aHeight));
+ }
+ return aCylinder;
+}
+
+std::shared_ptr<GeomAPI_Cone> GeomAPI_Face::getCone() const
+{
+ GeomConePtr aCone;
+
+ const TopoDS_Face& aFace = TopoDS::Face(impl<TopoDS_Shape>());
+ Handle(Geom_Surface) aSurf = BRep_Tool::Surface(aFace);
+ if (aSurf->IsKind(STANDARD_TYPE(Geom_ConicalSurface))) {
+ gp_Cone aCon = Handle(Geom_ConicalSurface)::DownCast(aSurf)->Cone();
+ gp_Pnt aLoc = aCon.Location();
+ gp_Dir aDir = aCon.Position().Direction();
+
+ double aUMin, aUMax, aVMin, aVMax;
+ BRepTools::UVBounds(aFace, aUMin, aUMax, aVMin, aVMax);
+
+ double aSemiAngle = Abs(aCon.SemiAngle());
+ double aRadius1 = Abs(aCon.RefRadius() + aVMin * Sin(aCon.SemiAngle()));
+ double aRadius2 = Abs(aCon.RefRadius() + aVMax * Sin(aCon.SemiAngle()));
+
+ aLoc.ChangeCoord() += aDir.XYZ() * aVMin * Cos(aCon.SemiAngle());
+
+ GeomPointPtr aLocation(new GeomAPI_Pnt(aLoc.X(), aLoc.Y(), aLoc.Z()));
+ GeomDirPtr aDirection(new GeomAPI_Dir(aDir.X(), aDir.Y(), aDir.Z()));
+ aCone = GeomConePtr(new GeomAPI_Cone(aLocation, aDirection, aSemiAngle, aRadius1, aRadius2));
+ }
+ return aCone;
+}
+
+std::shared_ptr<GeomAPI_Torus> GeomAPI_Face::getTorus() const
+{
+ GeomTorusPtr aTorus;
+
+ const TopoDS_Face& aFace = TopoDS::Face(impl<TopoDS_Shape>());
+ Handle(Geom_Surface) aSurf = BRep_Tool::Surface(aFace);
+ if (aSurf->IsKind(STANDARD_TYPE(Geom_ToroidalSurface))) {
+ gp_Torus aTor = Handle(Geom_ToroidalSurface)::DownCast(aSurf)->Torus();
+ const gp_Pnt& aLoc = aTor.Location();
+ const gp_Dir& aDir = aTor.Position().Direction();
+ double aMajorRadius = aTor.MajorRadius();
+ double aMinorRadius = aTor.MinorRadius();
+
+ GeomPointPtr aCenter(new GeomAPI_Pnt(aLoc.X(), aLoc.Y(), aLoc.Z()));
+ GeomDirPtr aDirection(new GeomAPI_Dir(aDir.X(), aDir.Y(), aDir.Z()));
+ aTorus = GeomTorusPtr(new GeomAPI_Torus(aCenter, aDirection, aMajorRadius, aMinorRadius));
+ }
+ return aTorus;
+}
+
+GeomPointPtr GeomAPI_Face::middlePoint() const
+{
+ GeomPointPtr anInnerPoint;
+
+ const TopoDS_Face& aFace = impl<TopoDS_Face>();
+ if (aFace.IsNull())
+ return anInnerPoint;
+
+ double aUMin, aUMax, aVMin, aVMax;
+ optimalBounds(aFace, aUMin, aUMax, aVMin, aVMax);
+
+ Handle(Geom_Surface) aSurf = BRep_Tool::Surface(aFace);
+ if (aSurf.IsNull())
+ return anInnerPoint;
+
+ gp_Pnt aPnt = aSurf->Value((aUMin + aUMax) * 0.5, (aVMin + aVMax) * 0.5);
+ anInnerPoint = GeomPointPtr(new GeomAPI_Pnt(aPnt.X(), aPnt.Y(), aPnt.Z()));
+ return anInnerPoint;
+}
+
+
+// ================== Auxiliary functions ========================
+
+void optimalBounds(const TopoDS_Face& theFace, const TopoDS_Edge& theEdge, Bnd_Box2d& theBndBox)
+{
+ Standard_Real aFirst, aLast;
+ const Handle(Geom2d_Curve) aC2D = BRep_Tool::CurveOnSurface(theEdge, theFace, aFirst, aLast);
+ if (aC2D.IsNull())
+ return;
+
+ Standard_Real aXmin = 0.0, aYmin = 0.0, aXmax = 0.0, aYmax = 0.0;
+ Standard_Real aUmin, aUmax, aVmin, aVmax;
+ Bnd_Box2d aBoxC, aBoxS;
+ BndLib_Add2dCurve::AddOptimal(aC2D, aFirst, aLast, 0., aBoxC);
+ if (aBoxC.IsVoid())
+ return;
+
+ aBoxC.Get(aXmin, aYmin, aXmax, aYmax);
+
+ TopLoc_Location aLoc;
+ Handle(Geom_Surface) aS = BRep_Tool::Surface(theFace, aLoc);
+ aS->Bounds(aUmin, aUmax, aVmin, aVmax);
+
+ if (aS->DynamicType() == STANDARD_TYPE(Geom_RectangularTrimmedSurface))
+ {
+ const Handle(Geom_RectangularTrimmedSurface) aSt =
+ Handle(Geom_RectangularTrimmedSurface)::DownCast(aS);
+ aS = aSt->BasisSurface();
+ }
+
+ //
+ if (!aS->IsUPeriodic())
+ {
+ Standard_Boolean isUPeriodic = Standard_False;
+
+ // Additional verification for U-periodicity for B-spline surfaces.
+ // 1. Verify that the surface is U-closed (if such flag is false). Verification uses 2 points.
+ // 2. Verify periodicity of surface inside UV-bounds of the edge. It uses 3 or 6 points.
+ if (aS->DynamicType() == STANDARD_TYPE(Geom_BSplineSurface) &&
+ (aXmin < aUmin || aXmax > aUmax))
+ {
+ Standard_Real aTol2 = 100 * Precision::SquareConfusion();
+ isUPeriodic = Standard_True;
+ gp_Pnt P1, P2;
+ // 1. Verify that the surface is U-closed
+ if (!aS->IsUClosed())
+ {
+ Standard_Real aVStep = aVmax - aVmin;
+ for (Standard_Real aV = aVmin; aV <= aVmax; aV += aVStep)
+ {
+ P1 = aS->Value(aUmin, aV);
+ P2 = aS->Value(aUmax, aV);
+ if (P1.SquareDistance(P2) > aTol2)
+ {
+ isUPeriodic = Standard_False;
+ break;
+ }
+ }
+ }
+ // 2. Verify periodicity of surface inside UV-bounds of the edge
+ if (isUPeriodic) // the flag still not changed
+ {
+ Standard_Real aV = (aVmin + aVmax) * 0.5;
+ Standard_Real aU[6]; // values of U lying out of surface boundaries
+ Standard_Real aUpp[6]; // corresponding U-values plus/minus period
+ Standard_Integer aNbPnt = 0;
+ if (aXmin < aUmin)
+ {
+ aU[0] = aXmin;
+ aU[1] = (aXmin + aUmin) * 0.5;
+ aU[2] = aUmin;
+ aUpp[0] = aU[0] + aUmax - aUmin;
+ aUpp[1] = aU[1] + aUmax - aUmin;
+ aUpp[2] = aU[2] + aUmax - aUmin;
+ aNbPnt += 3;
+ }
+ if (aXmax > aUmax)
+ {
+ aU[aNbPnt] = aUmax;
+ aU[aNbPnt + 1] = (aXmax + aUmax) * 0.5;
+ aU[aNbPnt + 2] = aXmax;
+ aUpp[aNbPnt] = aU[aNbPnt] - aUmax + aUmin;
+ aUpp[aNbPnt + 1] = aU[aNbPnt + 1] - aUmax + aUmin;
+ aUpp[aNbPnt + 2] = aU[aNbPnt + 2] - aUmax + aUmin;
+ aNbPnt += 3;
+ }
+ for (Standard_Integer anInd = 0; anInd < aNbPnt; anInd++)
+ {
+ P1 = aS->Value(aU[anInd], aV);
+ P2 = aS->Value(aUpp[anInd], aV);
+ if (P1.SquareDistance(P2) > aTol2)
+ {
+ isUPeriodic = Standard_False;
+ break;
+ }
+ }
+ }
+ }
+
+ if (!isUPeriodic)
+ {
+ if ((aXmin < aUmin) && (aUmin < aXmax))
+ {
+ aXmin = aUmin;
+ }
+ if ((aXmin < aUmax) && (aUmax < aXmax))
+ {
+ aXmax = aUmax;
+ }
+ }
+ }
+
+ if (!aS->IsVPeriodic())
+ {
+ Standard_Boolean isVPeriodic = Standard_False;
+
+ // Additional verification for V-periodicity for B-spline surfaces.
+ // 1. Verify that the surface is V-closed (if such flag is false). Verification uses 2 points.
+ // 2. Verify periodicity of surface inside UV-bounds of the edge. It uses 3 or 6 points.
+ if (aS->DynamicType() == STANDARD_TYPE(Geom_BSplineSurface) &&
+ (aYmin < aVmin || aYmax > aVmax))
+ {
+ Standard_Real aTol2 = 100 * Precision::SquareConfusion();
+ isVPeriodic = Standard_True;
+ gp_Pnt P1, P2;
+ // 1. Verify that the surface is V-closed
+ if (!aS->IsVClosed())
+ {
+ Standard_Real aUStep = aUmax - aUmin;
+ for (Standard_Real aU = aUmin; aU <= aUmax; aU += aUStep)
+ {
+ P1 = aS->Value(aU, aVmin);
+ P2 = aS->Value(aU, aVmax);
+ if (P1.SquareDistance(P2) > aTol2)
+ {
+ isVPeriodic = Standard_False;
+ break;
+ }
+ }
+ }
+ // 2. Verify periodicity of surface inside UV-bounds of the edge
+ if (isVPeriodic) // the flag still not changed
+ {
+ Standard_Real aU = (aUmin + aUmax) * 0.5;
+ Standard_Real aV[6]; // values of V lying out of surface boundaries
+ Standard_Real aVpp[6]; // corresponding V-values plus/minus period
+ Standard_Integer aNbPnt = 0;
+ if (aYmin < aVmin)
+ {
+ aV[0] = aYmin;
+ aV[1] = (aYmin + aVmin) * 0.5;
+ aV[2] = aVmin;
+ aVpp[0] = aV[0] + aVmax - aVmin;
+ aVpp[1] = aV[1] + aVmax - aVmin;
+ aVpp[2] = aV[2] + aVmax - aVmin;
+ aNbPnt += 3;
+ }
+ if (aYmax > aVmax)
+ {
+ aV[aNbPnt] = aVmax;
+ aV[aNbPnt + 1] = (aYmax + aVmax) * 0.5;
+ aV[aNbPnt + 2] = aYmax;
+ aVpp[aNbPnt] = aV[aNbPnt] - aVmax + aVmin;
+ aVpp[aNbPnt + 1] = aV[aNbPnt + 1] - aVmax + aVmin;
+ aVpp[aNbPnt + 2] = aV[aNbPnt + 2] - aVmax + aVmin;
+ aNbPnt += 3;
+ }
+ for (Standard_Integer anInd = 0; anInd < aNbPnt; anInd++)
+ {
+ P1 = aS->Value(aU, aV[anInd]);
+ P2 = aS->Value(aU, aVpp[anInd]);
+ if (P1.SquareDistance(P2) > aTol2)
+ {
+ isVPeriodic = Standard_False;
+ break;
+ }
+ }
+ }
+ }
+
+ if (!isVPeriodic)
+ {
+ if ((aYmin < aVmin) && (aVmin < aYmax))
+ {
+ aYmin = aVmin;
+ }
+ if ((aYmin < aVmax) && (aVmax < aYmax))
+ {
+ aYmax = aVmax;
+ }
+ }
+ }
+
+ aBoxS.Update(aXmin, aYmin, aXmax, aYmax);
+
+ theBndBox.Add(aBoxS);
+}
+
+void optimalBounds(const TopoDS_Face& theFace, double& theUMin, double& theUMax,
+ double& theVMin, double& theVMax)
+{
+ Bnd_Box2d aBB;
+
+ for (TopExp_Explorer anExp(theFace, TopAbs_EDGE); anExp.More(); anExp.Next())
+ optimalBounds(theFace, TopoDS::Edge(anExp.Current()), aBB);
+
+ aBB.Get(theUMin, theVMin, theUMax, theVMax);
+}
