#include #include "meshing.hpp" namespace netgen { GradingBox :: GradingBox (const double * ax1, const double * ax2) { h2 = 0.5 * (ax2[0] - ax1[0]); for (int i = 0; i <= 2; i++) { /* x1[i] = ax1[i]; x2[i] = ax2[i]; */ xmid[i] = 0.5 * (ax1[i] + ax2[i]); } /* (*testout) << "new box: " << xmid[0] << "-" << xmid[1] << "-" << xmid[2] << " h = " << (x2[0] - x1[0]) << endl; */ for (int i = 0; i < 8; i++) childs[i] = NULL; father = NULL; flags.cutboundary = 0; flags.isinner = 0; flags.oldcell = 0; flags.pinner = 0; // hopt = x2[0] - x1[0]; hopt = 2 * h2; } BlockAllocator GradingBox :: ball(sizeof (GradingBox)); void * GradingBox :: operator new(size_t) { return ball.Alloc(); } void GradingBox :: operator delete (void * p) { ball.Free (p); } void GradingBox :: DeleteChilds() { int i; for (i = 0; i < 8; i++) if (childs[i]) { childs[i]->DeleteChilds(); delete childs[i]; childs[i] = NULL; } } LocalH :: LocalH (const Point3d & pmin, const Point3d & pmax, double agrading) { double x1[3], x2[3]; double hmax; int i; boundingbox = Box3d (pmin, pmax); grading = agrading; // a small enlargement, non-regular points double val = 0.0879; for (i = 1; i <= 3; i++) { x1[i-1] = (1 + val * i) * pmin.X(i) - val * i * pmax.X(i); x2[i-1] = 1.1 * pmax.X(i) - 0.1 * pmin.X(i); } hmax = x2[0] - x1[0]; for (i = 1; i <= 2; i++) if (x2[i] - x1[i] > hmax) hmax = x2[i] - x1[i]; for (i = 0; i <= 2; i++) x2[i] = x1[i] + hmax; root = new GradingBox (x1, x2); boxes.Append (root); } LocalH :: ~LocalH () { root->DeleteChilds(); delete root; } void LocalH :: Delete () { root->DeleteChilds(); } void LocalH :: SetH (const Point3d & p, double h) { /* (*testout) << "Set h at " << p << " to " << h << endl; if (h < 1e-8) { cout << "do not set h to " << h << endl; return; } */ if (fabs (p.X() - root->xmid[0]) > root->h2 || fabs (p.Y() - root->xmid[1]) > root->h2 || fabs (p.Z() - root->xmid[2]) > root->h2) return; /* if (p.X() < root->x1[0] || p.X() > root->x2[0] || p.Y() < root->x1[1] || p.Y() > root->x2[1] || p.Z() < root->x1[2] || p.Z() > root->x2[2]) return; */ if (GetH(p) <= 1.2 * h) return; GradingBox * box = root; GradingBox * nbox = root; GradingBox * ngb; int childnr; double x1[3], x2[3]; while (nbox) { box = nbox; childnr = 0; if (p.X() > box->xmid[0]) childnr += 1; if (p.Y() > box->xmid[1]) childnr += 2; if (p.Z() > box->xmid[2]) childnr += 4; nbox = box->childs[childnr]; }; while (2 * box->h2 > h) { childnr = 0; if (p.X() > box->xmid[0]) childnr += 1; if (p.Y() > box->xmid[1]) childnr += 2; if (p.Z() > box->xmid[2]) childnr += 4; double h2 = box->h2; if (childnr & 1) { x1[0] = box->xmid[0]; x2[0] = x1[0]+h2; // box->x2[0]; } else { x2[0] = box->xmid[0]; x1[0] = x2[0]-h2; // box->x1[0]; } if (childnr & 2) { x1[1] = box->xmid[1]; x2[1] = x1[1]+h2; // box->x2[1]; } else { x2[1] = box->xmid[1]; x1[1] = x2[1]-h2; // box->x1[1]; } if (childnr & 4) { x1[2] = box->xmid[2]; x2[2] = x1[2]+h2; // box->x2[2]; } else { x2[2] = box->xmid[2]; x1[2] = x2[2]-h2; // box->x1[2]; } ngb = new GradingBox (x1, x2); box->childs[childnr] = ngb; ngb->father = box; boxes.Append (ngb); box = box->childs[childnr]; } box->hopt = h; double hbox = 2 * box->h2; // box->x2[0] - box->x1[0]; double hnp = h + grading * hbox; Point3d np; int i; for (i = 1; i <= 3; i++) { np = p; np.X(i) = p.X(i) + hbox; SetH (np, hnp); np.X(i) = p.X(i) - hbox; SetH (np, hnp); } /* Point3d np; int i1, i2, i3; for (i1 = -1; i1 <= 1; i1++) for (i2 = -1; i2 <= 1; i2++) for (i3 = -1; i3 <= 1; i3++) { np.X() = p.X() + hbox * i1; np.Y() = p.Y() + hbox * i2; np.Z() = p.Z() + hbox * i3; SetH (np, hnp); } */ } double LocalH :: GetH (const Point3d & x) const { const GradingBox * box = root; const GradingBox * nbox; int childnr; while (1) { childnr = 0; if (x.X() > box->xmid[0]) childnr += 1; if (x.Y() > box->xmid[1]) childnr += 2; if (x.Z() > box->xmid[2]) childnr += 4; nbox = box->childs[childnr]; if (nbox) box = nbox; else { // (*testout) << "diam = " << (box->x2[0] - box->x1[0]) // << " h = " << box->hopt << endl; return box->hopt; } } } /// minimal h in box (pmin, pmax) double LocalH :: GetMinH (const Point3d & pmin, const Point3d & pmax) const { Point3d pmin2, pmax2; for (int j = 1; j <= 3; j++) if (pmin.X(j) < pmax.X(j)) { pmin2.X(j) = pmin.X(j); pmax2.X(j) = pmax.X(j); } else { pmin2.X(j) = pmax.X(j); pmax2.X(j) = pmin.X(j); } return GetMinHRec (pmin2, pmax2, root); } double LocalH :: GetMinHRec (const Point3d & pmin, const Point3d & pmax, const GradingBox * box) const { double h2 = box->h2; if (pmax.X() < box->xmid[0]-h2 || pmin.X() > box->xmid[0]+h2 || pmax.Y() < box->xmid[1]-h2 || pmin.Y() > box->xmid[1]+h2 || pmax.Z() < box->xmid[2]-h2 || pmin.Z() > box->xmid[2]+h2) return 1e8; /* if (pmax.X() < box->x1[0] || pmin.X() > box->x2[0] || pmax.Y() < box->x1[1] || pmin.Y() > box->x2[1] || pmax.Z() < box->x1[2] || pmin.Z() > box->x2[2]) return 1e8; */ double hmin = 2 * box->h2; // box->x2[0] - box->x1[0]; int i; for (i = 0; i <= 7; i++) { if (box->childs[i]) { double hi = GetMinHRec (pmin, pmax, box->childs[i]); if (hi < hmin) hmin = hi; } } return hmin; } void LocalH :: CutBoundaryRec (const Point3d & pmin, const Point3d & pmax, GradingBox * box) { double h2 = box->h2; if (pmax.X() < box->xmid[0]-h2 || pmin.X() > box->xmid[0]+h2 || pmax.Y() < box->xmid[1]-h2 || pmin.Y() > box->xmid[1]+h2 || pmax.Z() < box->xmid[2]-h2 || pmin.Z() > box->xmid[2]+h2) return; /* if (pmax.X() < box->x1[0] || pmin.X() > box->x2[0] || pmax.Y() < box->x1[1] || pmin.Y() > box->x2[1] || pmax.Z() < box->x1[2] || pmin.Z() > box->x2[2]) return; */ box->flags.cutboundary = 1; for (int i = 0; i < 8; i++) if (box->childs[i]) CutBoundaryRec (pmin, pmax, box->childs[i]); } void LocalH :: FindInnerBoxes ( // int (*sameside)(const Point3d & p1, const Point3d & p2), AdFront3 * adfront, int (*testinner)(const Point3d & p1)) { int i; int nf = adfront->GetNF(); for (i = 0; i < boxes.Size(); i++) boxes[i] -> flags.isinner = 0; root->flags.isinner = 0; Point3d rpmid(root->xmid[0], root->xmid[1], root->xmid[2]); Vec3d rv(root->h2, root->h2, root->h2); Point3d rx2 = rpmid + rv; Point3d rx1 = rpmid - rv; root->flags.pinner = !adfront->SameSide (rpmid, rx2); if (testinner) (*testout) << "inner = " << root->flags.pinner << " =?= " << testinner(Point3d(root->xmid[0], root->xmid[1], root->xmid[2])) << endl; Array faceinds(nf); Array faceboxes(nf); for (i = 1; i <= nf; i++) { faceinds.Elem(i) = i; adfront->GetFaceBoundingBox(i, faceboxes.Elem(i)); } for (i = 0; i < 8; i++) FindInnerBoxesRec2 (root->childs[i], adfront, faceboxes, faceinds, nf); } void LocalH :: FindInnerBoxesRec2 (GradingBox * box, class AdFront3 * adfront, Array & faceboxes, Array & faceinds, int nfinbox) { if (!box) return; int i, j; GradingBox * father = box -> father; Point3d c(box->xmid[0], box->xmid[1], box->xmid[2]); Vec3d v(box->h2, box->h2, box->h2); Box3d boxc(c-v, c+v); Point3d fc(father->xmid[0], father->xmid[1], father->xmid[2]); Vec3d fv(father->h2, father->h2, father->h2); Box3d fboxc(fc-fv, fc+fv); Box3d boxcfc(c,fc); static Array faceused; static Array faceused2; static Array facenotused; faceused.SetSize(0); facenotused.SetSize(0); faceused2.SetSize(0); for (j = 1; j <= nfinbox; j++) { // adfront->GetFaceBoundingBox (faceinds.Get(j), facebox); const Box3d & facebox = faceboxes.Get(faceinds.Get(j)); if (boxc.Intersect (facebox)) faceused.Append(faceinds.Get(j)); else facenotused.Append(faceinds.Get(j)); if (boxcfc.Intersect (facebox)) faceused2.Append (faceinds.Get(j)); } for (j = 1; j <= faceused.Size(); j++) faceinds.Elem(j) = faceused.Get(j); for (j = 1; j <= facenotused.Size(); j++) faceinds.Elem(j+faceused.Size()) = facenotused.Get(j); if (!father->flags.cutboundary) { box->flags.isinner = father->flags.isinner; box->flags.pinner = father->flags.pinner; } else { Point3d cf(father->xmid[0], father->xmid[1], father->xmid[2]); if (father->flags.isinner) box->flags.pinner = 1; else { if (adfront->SameSide (c, cf, &faceused2)) box->flags.pinner = father->flags.pinner; else box->flags.pinner = 1 - father->flags.pinner; } if (box->flags.cutboundary) box->flags.isinner = 0; else box->flags.isinner = box->flags.pinner; } int nf = faceused.Size(); for (i = 0; i < 8; i++) FindInnerBoxesRec2 (box->childs[i], adfront, faceboxes, faceinds, nf); } /* void LocalH :: FindInnerBoxes ( // int (*sameside)(const Point3d & p1, const Point3d & p2), AdFront3 * adfront, int (*testinner)(const Point3d & p1)) { int i; for (i = 1; i <= boxes.Size(); i++) boxes.Elem(i)->flags.isinner = 0; root->flags.isinner = 0; Point3d rpmid(root->xmid[0], root->xmid[1], root->xmid[2]); Point3d rx2 = rpmid + Vec3d (root->h2, root->h2, root->h2); root->flags.pinner = !adfront->SameSide (rpmid, rx2); if (testinner) (*testout) << "inner = " << root->flags.pinner << " =?= " << testinner(Point3d(root->xmid[0], root->xmid[1], root->xmid[2])) << endl; for (i = 2; i <= boxes.Size(); i++) { GradingBox * box = boxes.Elem(i); GradingBox * father = box -> father; Point3d c(box->xmid[0], box->xmid[1], box->xmid[2]); Vec3d v(box->h2, box->h2, box->h2); Point3d x1 = c-v; Point3d x2 = c+v; if (!father->flags.cutboundary) { box->flags.isinner = father->flags.isinner; box->flags.pinner = father->flags.pinner; } else { Point3d cf(father->xmid[0], father->xmid[1], father->xmid[2]); if (father->flags.isinner) box->flags.pinner = 1; else { if (adfront->SameSide (c, cf)) box->flags.pinner = father->flags.pinner; else box->flags.pinner = 1 - father->flags.pinner; } if (box->flags.cutboundary) box->flags.isinner = 0; else box->flags.isinner = box->flags.pinner; } } // FindInnerBoxesRec (inner, root); } */ void LocalH :: FindInnerBoxesRec ( int (*inner)(const Point3d & p), GradingBox * box) { int i; if (box->flags.cutboundary) { for (i = 0; i < 8; i++) if (box->childs[i]) FindInnerBoxesRec (inner, box->childs[i]); } else { if (inner (Point3d (box->xmid[0], box->xmid[1], box->xmid[2]))) SetInnerBoxesRec (box); } } void LocalH :: SetInnerBoxesRec (GradingBox * box) { box->flags.isinner = 1; for (int i = 0; i < 8; i++) if (box->childs[i]) ClearFlagsRec (box->childs[i]); } void LocalH :: ClearFlagsRec (GradingBox * box) { box->flags.cutboundary = 0; box->flags.isinner = 0; for (int i = 0; i < 8; i++) if (box->childs[i]) ClearFlagsRec (box->childs[i]); } void LocalH :: WidenRefinement () { int nb = boxes.Size(); int i; // (*testout) << "old boxes: " << nb << endl; for (i = 1; i <= nb; i++) { GradingBox * box = boxes.Get(i); // double h = box->x2[0] - box->x1[0]; double h = box->hopt; Point3d c(box->xmid[0], box->xmid[1], box->xmid[2]); // (*testout) << " i = " << i // << " c = " << c << " h = " << h << endl; for (int i1 = -1; i1 <= 1; i1++) for (int i2 = -1; i2 <= 1; i2++) for (int i3 = -1; i3 <= 1; i3++) SetH (Point3d (c.X() + i1 * h, c.Y() + i2 * h, c.Z() + i3 * h), 1.001 * h); } } void LocalH :: GetInnerPoints (Array & points) { int i, nb = boxes.Size(); for (i = 1; i <= nb; i++) { GradingBox * box = boxes.Get(i); /* if (box->flags.pinner) points.Append (box->randomip); */ // if (box->flags.pinner) if (box->flags.isinner) { Point3d c(box->xmid[0], box->xmid[1], box->xmid[2]); points.Append (c); /* cout << "add point " << c << "; h = " << box->hopt << "; max-min = " << (box->x2[0]-box->x1[0]) << endl; */ } } } void LocalH :: GetOuterPoints (Array & points) { int i, nb = boxes.Size(); for (i = 1; i <= nb; i++) { GradingBox * box = boxes.Get(i); if (!box->flags.isinner && !box->flags.cutboundary) { Point3d c(box->xmid[0], box->xmid[1], box->xmid[2]); points.Append (c); } } } void LocalH :: Convexify () { ConvexifyRec (root); } void LocalH :: ConvexifyRec (GradingBox * box) { Point3d center(box->xmid[0], box->xmid[1], box->xmid[2]); Point3d hp; double size = 2 * box->h2; // box->x2[0] - box->x1[0]; double dx = 0.6 * size; double maxh = box->hopt; int i; for (i = 1; i <= 6; i++) { hp = center; switch (i) { case 1: hp.X() += dx; break; case 2: hp.X() -= dx; break; case 3: hp.Y() += dx; break; case 4: hp.Y() -= dx; break; case 5: hp.Z() += dx; break; case 6: hp.Z() -= dx; break; } double hh = GetH (hp); if (hh > maxh) maxh = hh; } if (maxh < 0.95 * box->hopt) SetH (center, maxh); for (i = 0; i < 8; i++) if (box->childs[i]) ConvexifyRec (box->childs[i]); } void LocalH :: PrintMemInfo (ostream & ost) const { ost << "LocalH: " << boxes.Size() << " boxes of " << sizeof(GradingBox) << " bytes = " << boxes.Size()*sizeof(GradingBox) << " bytes" << endl; } }