#include "GeomAPI_Cone.h"
#include "GeomAPI_Torus.h"
+#include <Bnd_Box2d.hxx>
+#include <BndLib_Add2dCurve.hxx>
#include <BOPTools_AlgoTools.hxx>
#include <BRep_Tool.hxx>
#include <BRepAdaptor_Surface.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()
if (aFace.IsNull())
return anInnerPoint;
- BRepGProp_Face aProp(aFace);
double aUMin, aUMax, aVMin, aVMax;
- aProp.Bounds(aUMin, aUMax, aVMin, aVMax);
+ optimalBounds(aFace, aUMin, aUMax, aVMin, aVMax);
Handle(Geom_Surface) aSurf = BRep_Tool::Surface(aFace);
if (aSurf.IsNull())
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);
+}
