#ifdef OCCGEOMETRY #include #include #include #include #include namespace netgen { #include "occmeshsurf.hpp" bool glob_testout(false); void OCCSurface :: GetNormalVector (const Point<3> & p, const PointGeomInfo & geominfo, Vec<3> & n) const { gp_Pnt pnt; gp_Vec du, dv; /* double gu = geominfo.u; double gv = geominfo.v; if (fabs (gu) < 1e-3) gu = 0; if (fabs (gv) < 1e-3) gv = 0; occface->D1(gu,gv,pnt,du,dv); */ /* occface->D1(geominfo.u,geominfo.v,pnt,du,dv); n = Cross (Vec<3>(du.X(), du.Y(), du.Z()), Vec<3>(dv.X(), dv.Y(), dv.Z())); n.Normalize(); */ GeomLProp_SLProps lprop(occface,geominfo.u,geominfo.v,1,1e-5); double setu=geominfo.u,setv=geominfo.v; if(lprop.D1U().Magnitude() < 1e-5 || lprop.D1V().Magnitude() < 1e-5) { double ustep = 0.01*(umax-umin); double vstep = 0.01*(vmax-vmin); n=0; while(setu < umax && (lprop.D1U().Magnitude() < 1e-5 || lprop.D1V().Magnitude() < 1e-5)) setu += ustep; if(setu < umax) { lprop.SetParameters(setu,setv); n(0)+=lprop.Normal().X(); n(1)+=lprop.Normal().Y(); n(2)+=lprop.Normal().Z(); } setu = geominfo.u; while(setu > umin && (lprop.D1U().Magnitude() < 1e-5 || lprop.D1V().Magnitude() < 1e-5)) setu -= ustep; if(setu > umin) { lprop.SetParameters(setu,setv); n(0)+=lprop.Normal().X(); n(1)+=lprop.Normal().Y(); n(2)+=lprop.Normal().Z(); } setu = geominfo.u; while(setv < vmax && (lprop.D1U().Magnitude() < 1e-5 || lprop.D1V().Magnitude() < 1e-5)) setv += ustep; if(setv < vmax) { lprop.SetParameters(setu,setv); n(0)+=lprop.Normal().X(); n(1)+=lprop.Normal().Y(); n(2)+=lprop.Normal().Z(); } setv = geominfo.v; while(setv > vmin && (lprop.D1U().Magnitude() < 1e-5 || lprop.D1V().Magnitude() < 1e-5)) setv -= ustep; if(setv > vmin) { lprop.SetParameters(setu,setv); n(0)+=lprop.Normal().X(); n(1)+=lprop.Normal().Y(); n(2)+=lprop.Normal().Z(); } setv = geominfo.v; n.Normalize(); } else { n(0)=lprop.Normal().X(); n(1)=lprop.Normal().Y(); n(2)=lprop.Normal().Z(); } if(glob_testout) { (*testout) << "u " << geominfo.u << " v " << geominfo.v << " du " << lprop.D1U().X() << " "<< lprop.D1U().Y() << " "<< lprop.D1U().Z() << " dv " << lprop.D1V().X() << " "<< lprop.D1V().Y() << " "<< lprop.D1V().Z() << endl; } if (orient == TopAbs_REVERSED) n = -1*n; // (*testout) << "GetNormalVector" << endl; } void OCCSurface :: DefineTangentialPlane (const Point<3> & ap1, const PointGeomInfo & geominfo1, const Point<3> & ap2, const PointGeomInfo & geominfo2) { if (projecttype == PLANESPACE) { p1 = ap1; p2 = ap2; //cout << "p1 = " << p1 << endl; //cout << "p2 = " << p2 << endl; GetNormalVector (p1, geominfo1, ez); ex = p2 - p1; ex -= (ex * ez) * ez; ex.Normalize(); ey = Cross (ez, ex); GetNormalVector (p2, geominfo2, n2); nmid = 0.5*(n2+ez); ez = nmid; ez.Normalize(); ex = (p2 - p1).Normalize(); ez -= (ez * ex) * ex; ez.Normalize(); ey = Cross (ez, ex); nmid = ez; //cout << "ex " << ex << " ey " << ey << " ez " << ez << endl; } else { if ( (geominfo1.u < umin) || (geominfo1.u > umax) || (geominfo2.u < umin) || (geominfo2.u > umax) || (geominfo1.v < vmin) || (geominfo1.v > vmax) || (geominfo2.v < vmin) || (geominfo2.v > vmax) ) throw UVBoundsException(); p1 = ap1; p2 = ap2; psp1 = Point<2>(geominfo1.u, geominfo1.v); psp2 = Point<2>(geominfo2.u, geominfo2.v); Vec<3> n; GetNormalVector (p1, geominfo1, n); gp_Pnt pnt; gp_Vec du, dv; occface->D1 (geominfo1.u, geominfo1.v, pnt, du, dv); // static Timer t("occ-defintangplane calculations"); // RegionTimer reg(t); Mat<3,2> D1_; D1_(0,0) = du.X(); D1_(1,0) = du.Y(); D1_(2,0) = du.Z(); D1_(0,1) = dv.X(); D1_(1,1) = dv.Y(); D1_(2,1) = dv.Z(); auto D1T_ = Trans(D1_); auto D1TD1_ = D1T_*D1_; if (Det (D1TD1_) == 0) throw SingularMatrixException(); Mat<2,2> DDTinv_; CalcInverse (D1TD1_, DDTinv_); Mat<3,2> Y_; Vec<3> y1_ = (ap2-ap1).Normalize(); Vec<3> y2_ = Cross(n, y1_).Normalize(); for (int i = 0; i < 3; i++) { Y_(i,0) = y1_(i); Y_(i,1) = y2_(i); } auto A_ = DDTinv_ * D1T_ * Y_; Mat<2,2> Ainv_; if (Det(A_) == 0) throw SingularMatrixException(); CalcInverse (A_, Ainv_); Vec<2> temp_ = Ainv_ * (psp2-psp1); double r_ = temp_.Length(); Mat<2,2> R_; R_(0,0) = temp_(0)/r_; R_(1,0) = temp_(1)/r_; R_(0,1) = -R_(1,0); R_(1,1) = R_(0,0); A_ = A_ * R_; Ainv_ = Trans(R_) * Ainv_; Amat = A_; Amatinv = Ainv_; // temp = Amatinv * (psp2-psp1); #ifdef OLD DenseMatrix D1(3,2), D1T(2,3), DDTinv(2,2); D1(0,0) = du.X(); D1(1,0) = du.Y(); D1(2,0) = du.Z(); D1(0,1) = dv.X(); D1(1,1) = dv.Y(); D1(2,1) = dv.Z(); /* (*testout) << "DefineTangentialPlane" << endl << "---------------------" << endl; (*testout) << "D1 = " << endl << D1 << endl; */ Transpose (D1, D1T); DenseMatrix D1TD1(3,3); D1TD1 = D1T*D1; if (D1TD1.Det() == 0) throw SingularMatrixException(); CalcInverse (D1TD1, DDTinv); // cout << " =?= inv = " << DDTinv << endl; DenseMatrix Y(3,2); Vec<3> y1 = (ap2-ap1).Normalize(); Vec<3> y2 = Cross(n, y1).Normalize(); for (int i = 0; i < 3; i++) { Y(i,0) = y1(i); Y(i,1) = y2(i); } DenseMatrix A(2,2); A = DDTinv * D1T * Y; DenseMatrix Ainv(2,2); if (A.Det() == 0) throw SingularMatrixException(); CalcInverse (A, Ainv); for (int i = 0; i < 2; i++) for (int j = 0; j < 2; j++) { Amat(i,j) = A(i,j); Amatinv(i,j) = Ainv(i,j); } Vec<2> temp = Amatinv * (psp2-psp1); double r = temp.Length(); // double alpha = -acos (temp(0)/r); double alpha = -atan2 (temp(1),temp(0)); DenseMatrix R(2,2); R(0,0) = cos (alpha); R(1,0) = -sin (alpha); R(0,1) = sin (alpha); R(1,1) = cos (alpha); // cout << "=?= R = " << R << endl; A = A*R; if (A.Det() == 0) throw SingularMatrixException(); CalcInverse (A, Ainv); for (int i = 0; i < 2; i++) for (int j = 0; j < 2; j++) { Amat(i,j) = A(i,j); Amatinv(i,j) = Ainv(i,j); } // cout << "=?= Ainv = " << endl << Ainv << endl; temp = Amatinv * (psp2-psp1); cout << " =?= Amatinv = " << Amatinv << endl; #endif }; } void OCCSurface :: ToPlane (const Point<3> & p3d, const PointGeomInfo & geominfo, Point<2> & pplane, double h, int & zone) const { if (projecttype == PLANESPACE) { Vec<3> p1p, n; GetNormalVector (p3d, geominfo, n); p1p = p3d - p1; pplane(0) = (p1p * ex) / h; pplane(1) = (p1p * ey) / h; if (n * nmid < 0) zone = -1; else zone = 0; /* if(zone == -1) { (*testout) << "zone = -1 for " << p3d << " 2D: " << pplane << " n " << n << " nmid " << nmid << endl; glob_testout = true; GetNormalVector (p3d, geominfo, n); glob_testout = false; } */ } else { pplane = Point<2>(geominfo.u, geominfo.v); // (*testout) << "(u,v) = " << geominfo.u << ", " << geominfo.v << endl; pplane = Point<2> (1/h * (Amatinv * (pplane-psp1))); // pplane = Point<2> (h * (Amatinv * (pplane-psp1))); // pplane = Point<2> (1/h * ((pplane-psp1))); zone = 0; }; } void OCCSurface :: FromPlane (const Point<2> & pplane, Point<3> & p3d, PointGeomInfo & gi, double h) { if (projecttype == PLANESPACE) { // cout << "2d : " << pplane << endl; p3d = p1 + (h * pplane(0)) * ex + (h * pplane(1)) * ey; // cout << "3d : " << p3d << endl; Project (p3d, gi); // cout << "proj : " << p3d << endl; } else { // Point<2> pspnew = Point<2>(1/h * (Amat * Vec<2>(pplane)) + Vec<2>(psp1)); Point<2> pspnew = Point<2>(h * (Amat * Vec<2>(pplane)) + Vec<2>(psp1)); // Point<2> pspnew = Point<2>(h * (Vec<2>(pplane)) + Vec<2>(psp1)); gi.u = pspnew(0); gi.v = pspnew(1); gi.trignum = 1; gp_Pnt val = occface->Value (gi.u, gi.v); p3d = Point<3> (val.X(), val.Y(), val.Z()); }; } void OCCSurface :: Project (Point<3> & p, PointGeomInfo & gi) { // static int cnt = 0; // if (cnt++ % 1000 == 0) cout << "********************************************** OCCSurfce :: Project, cnt = " << cnt << endl; gp_Pnt pnt(p(0), p(1), p(2)); //(*testout) << "pnt = " << pnt.X() << ", " << pnt.Y() << ", " << pnt.Z() << endl; /* GeomAPI_ProjectPointOnSurf proj(pnt, occface, umin, umax, vmin, vmax); if (!proj.NbPoints()) { cout << "Project Point on Surface FAIL" << endl; throw UVBoundsException(); } */ /* cout << "NP = " << proj.NbPoints() << endl; for (int i = 1; i <= proj.NbPoints(); i++) { gp_Pnt pnt2 = proj.Point(i); Point<3> p2 = Point<3> (pnt2.X(), pnt2.Y(), pnt2.Z()); cout << i << ". p = " << p2 << ", dist = " << (p2-p).Length() << endl; } */ /* pnt = proj.NearestPoint(); proj.LowerDistanceParameters (gi.u, gi.v); */ double u,v; Handle( ShapeAnalysis_Surface ) su = new ShapeAnalysis_Surface( occface ); gp_Pnt2d suval = su->ValueOfUV ( pnt, BRep_Tool::Tolerance( topods_face ) ); suval.Coord( u, v); pnt = occface->Value( u, v ); //(*testout) << "pnt(proj) = " << pnt.X() << ", " << pnt.Y() << ", " << pnt.Z() << endl; gi.u = u; gi.v = v; gi.trignum = 1; p = Point<3> (pnt.X(), pnt.Y(), pnt.Z()); } Meshing2OCCSurfaces :: Meshing2OCCSurfaces (const TopoDS_Shape & asurf, const Box<3> & abb, int aprojecttype, const MeshingParameters & mparam) : Meshing2(mparam, Box<3>(abb.PMin(), abb.PMax())), surface(TopoDS::Face(asurf), aprojecttype) { ; } void Meshing2OCCSurfaces :: DefineTransformation (const Point<3> & p1, const Point<3> & p2, const PointGeomInfo * geominfo1, const PointGeomInfo * geominfo2) { ((OCCSurface&)surface).DefineTangentialPlane (p1, *geominfo1, p2, *geominfo2); } void Meshing2OCCSurfaces :: TransformToPlain (const Point<3>& locpoint, const MultiPointGeomInfo & geominfo, Point<2> & planepoint, double h, int & zone) { surface.ToPlane (locpoint, geominfo.GetPGI(1), planepoint, h, zone); } int Meshing2OCCSurfaces :: TransformFromPlain (const Point<2> & planepoint, Point<3> & locpoint, PointGeomInfo & gi, double h) { surface.FromPlane (planepoint, locpoint, gi, h); return 0; } double Meshing2OCCSurfaces :: CalcLocalH (const Point<3> & p, double gh) const { return gh; } /* inline double Det3 (double a00, double a01, double a02, double a10, double a11, double a12, double a20, double a21, double a22) { return a00*a11*a22 + a01*a12*a20 + a10*a21*a02 - a20*a11*a02 - a10*a01*a22 - a21*a12*a00; } bool ProjectToSurface (gp_Pnt & p, Handle(Geom_Surface) surface, double& u, double& v) { gp_Pnt x = surface->Value (u,v); if (p.SquareDistance(x) <= sqr(PROJECTION_TOLERANCE)) return true; gp_Vec du, dv; surface->D1(u,v,x,du,dv); int count = 0; gp_Pnt xold; gp_Vec n; double det, lambda, mu; do { count++; n = du^dv; det = Det3 (n.X(), du.X(), dv.X(), n.Y(), du.Y(), dv.Y(), n.Z(), du.Z(), dv.Z()); if (det < 1e-15) return false; lambda = Det3 (n.X(), p.X()-x.X(), dv.X(), n.Y(), p.Y()-x.Y(), dv.Y(), n.Z(), p.Z()-x.Z(), dv.Z())/det; mu = Det3 (n.X(), du.X(), p.X()-x.X(), n.Y(), du.Y(), p.Y()-x.Y(), n.Z(), du.Z(), p.Z()-x.Z())/det; u += lambda; v += mu; xold = x; surface->D1(u,v,x,du,dv); } while (xold.SquareDistance(x) > sqr(PROJECTION_TOLERANCE) || count > 50); if (count > 50) return false; p = x; return true; } */ } #endif