netgen/libsrc/meshing/localh.cpp

#include <mystdlib.h>
#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 < 3; i++)
      xmid[i] = 0.5 * (ax1[i] + ax2[i]);

    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 = 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()
  {
    for (int 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;

    boundingbox = Box3d (pmin, pmax);
    grading = agrading;

    // a small enlargement, non-regular points 
    double val = 0.0879;
    for (int 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 (int i = 1; i <= 2; i++)
      if (x2[i] - x1[i] > hmax)
	hmax = x2[i] - x1[i];

    for (int i = 0; i <= 2; i++)
      x2[i] = x1[i] + hmax;

    root = new GradingBox (x1, x2);
    boxes.Append (root);
  }


  LocalH :: LocalH (const Box<3> & box, double agrading)
  {
    Point3d pmin = box.PMin();
    Point3d pmax = box.PMax();

    double x1[3], x2[3];
    double hmax;

    boundingbox = Box3d (pmin, pmax);
    grading = agrading;

    // a small enlargement, non-regular points 
    double val = 0.0879;
    for (int 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 (int i = 1; i <= 2; i++)
      if (x2[i] - x1[i] > hmax)
	hmax = x2[i] - x1[i];

    for (int 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;
    for (int 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);
      }
  }



  double LocalH :: GetH (const Point3d & x) const
  {
    const GradingBox * box = root;

    while (1)
      {
	int 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;

	if (box->childs[childnr])
	  box = box->childs[childnr];
	else
	  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;
      
    double hmin = 2 * box->h2; // box->x2[0] - box->x1[0];
  
    for (int i = 0; i < 8; i++)
      if (box->childs[i])
	hmin = min2 (hmin, GetMinHRec (pmin, pmax, box->childs[i]));

    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;


    box->flags.cutboundary = 1;
    for (int i = 0; i < 8; i++)
      if (box->childs[i])
	CutBoundaryRec (pmin, pmax, box->childs[i]);
  }




  void LocalH :: FindInnerBoxes (AdFront3 * adfront,
				 int (*testinner)(const Point3d & p1))
  {
    int nf = adfront->GetNF();

    for (int 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<int> faceinds(nf);
    Array<Box3d> faceboxes(nf);

    for (int i = 1; i <= nf; i++)
      {
	faceinds.Elem(i) = i;
	adfront->GetFaceBoundingBox(i, faceboxes.Elem(i));
      }
  
    for (int i = 0; i < 8; i++)
      FindInnerBoxesRec2 (root->childs[i], adfront, faceboxes, faceinds, nf);
  }


  void LocalH :: 
  FindInnerBoxesRec2 (GradingBox * box,
		      class AdFront3 * adfront, 
		      Array<Box3d> & faceboxes,
		      Array<int> & faceinds, int nfinbox)
  {
    if (!box) return;
  
    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);

    ArrayMem<int, 100> faceused;
    ArrayMem<int, 100> faceused2;
    ArrayMem<int, 100> facenotused;

    /*
    faceused.SetSize(0);
    facenotused.SetSize(0);
    faceused2.SetSize(0);
    */

    for (int 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 (int j = 1; j <= faceused.Size(); j++)
      faceinds.Elem(j) = faceused.Get(j);
    for (int 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;
      }

    // cout << "faceused: " << faceused.Size() << ", " << faceused2.Size() << ", " << facenotused.Size() << endl;

    int nf = faceused.Size();
    for (int i = 0; i < 8; i++)
      FindInnerBoxesRec2 (box->childs[i], adfront, faceboxes, faceinds, nf);
  }



  void LocalH :: FindInnerBoxesRec ( int (*inner)(const Point3d & p),
				     GradingBox * box)
  {
    if (box->flags.cutboundary)
      {
	for (int i = 0; i < 8; i++)
	  if (box->childs[i])
	    FindInnerBoxesRec (inner, box->childs[i]);
      }
    else
      {
	if (inner (box->PMid()))
	  SetInnerBoxesRec (box);
      }
  }



















  void LocalH :: FindInnerBoxes (AdFront2 * adfront,
				 int (*testinner)(const Point<2> & p1))
  {
    int nf = adfront->GetNFL();

    for (int i = 0; i < boxes.Size(); i++)
      boxes[i] -> flags.isinner = 0;

    root->flags.isinner = 0;

    Point<2> rpmid(root->xmid[0], root->xmid[1]);   // , root->xmid[2]);
    Vec<2> rv(root->h2, root->h2);
    Point<2> rx2 = rpmid + rv;
    // Point<2> rx1 = rpmid - rv;


    root->flags.pinner = !adfront->SameSide (rpmid, rx2);
  
    if (testinner)
      (*testout) << "inner = " << root->flags.pinner << " =?= "
		 << testinner(rpmid) << endl;
  
    Array<int> faceinds(nf);
    Array<Box<3> > faceboxes(nf);

    for (int i = 0; i < nf; i++)
      {
	faceinds[i] = i;
	// adfront->GetFaceBoundingBox(i, faceboxes.Elem(i));

	const FrontLine & line = adfront->GetLine(i);
	faceboxes[i].Set (adfront->GetPoint (line.L().I1()));
	faceboxes[i].Add (adfront->GetPoint (line.L().I2()));

      }
  
    for (int i = 0; i < 8; i++)
      FindInnerBoxesRec2 (root->childs[i], adfront, faceboxes, faceinds, nf);
  }


  void LocalH :: 
  FindInnerBoxesRec2 (GradingBox * box,
		      class AdFront2 * adfront, 
		      Array<Box<3> > & faceboxes,
		      Array<int> & faceinds, int nfinbox)
  {
    if (!box) return;
  
    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);

    ArrayMem<int, 100> faceused;
    ArrayMem<int, 100> faceused2;
    ArrayMem<int, 100> facenotused;


    for (int 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 (int j = 1; j <= faceused.Size(); j++)
      faceinds.Elem(j) = faceused.Get(j);
    for (int 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
	  {
	    Point<2> c2d (c.X(), c.Y());
	    Point<2> cf2d (cf.X(), cf.Y());
	    if (adfront->SameSide (c2d, cf2d, &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;
      }

    // cout << "faceused: " << faceused.Size() << ", " << faceused2.Size() << ", " << facenotused.Size() << endl;

    int nf = faceused.Size();
    for (int i = 0; i < 8; i++)
      FindInnerBoxesRec2 (box->childs[i], adfront, faceboxes, faceinds, nf);
  }



  void LocalH :: FindInnerBoxesRec ( int (*inner)(const Point<2> & p),
				     GradingBox * box)
  {
    if (box->flags.cutboundary)
      {
	for (int i = 0; i < 8; i++)
	  if (box->childs[i])
	    FindInnerBoxesRec (inner, box->childs[i]);
      }
    else
      {
	Point<2> p2d(box->PMid()(0), box->PMid()(1)); 
	if (inner (p2d))
	  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 ()
  {
    for (int i = 0; i < boxes.Size(); i++)
      {
	double h = boxes[i]->hopt;
	Point3d c = boxes[i]->PMid();
      
	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<Point<3> > & points)
  {
    for (int i = 0; i < boxes.Size(); i++)
      if (boxes[i] -> flags.isinner)
	points.Append ( boxes[i] -> PMid() );
  }


  void LocalH :: GetOuterPoints (Array<Point<3> > & points)
  {
    for (int i = 0; i < boxes.Size(); i++)
      if (!boxes[i]->flags.isinner && !boxes[i]->flags.cutboundary)
	points.Append ( boxes[i] -> PMid());
  }


  void LocalH :: Convexify ()
  {
    ConvexifyRec (root);
  }

  void LocalH :: ConvexifyRec (GradingBox * box)
  {
    Point<3> center = box -> PMid();

    double size = 2 * box->h2; // box->x2[0] - box->x1[0];
    double dx = 0.6 * size;

    double maxh = box->hopt;
  
    for (int i = 0; i < 3; i++)
      {
	Point<3> hp = center;
	hp(i) += dx;
	maxh = max2 (maxh, GetH(hp));
	hp(i) = center(i)-dx;
	maxh = max2 (maxh, GetH(hp));
      }

    if (maxh < 0.95 * box->hopt)
      SetH (center, maxh);

    for (int 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;
  }
}