netgen/libsrc/visualization/vsmesh.cpp

#include <mystdlib.h>

#include <myadt.hpp>
#include <meshing.hpp>
// #include <csg.hpp>

#ifdef STLGEOM
#include <stlgeom.hpp>
#endif


// #include <parallel.hpp>

#include <visual.hpp>

namespace netgen
{
  // extern shared_ptr<Mesh> mesh;
  extern NetgenGeometry * ng_geometry;

  VisualSceneMesh vsmesh;

  VisualSceneMesh :: VisualSceneMesh ()
    : VisualScene()
  {
    selface = -1;
    selelement = -1;
    locpi = -2;
    selpoint = PointIndex::INVALID;
    selpoint2 = PointIndex::INVALID;
    seledge = -1;

    minh = 0.0;
    maxh = 0.0;
    user_me_handler = NULL;
  }

  VisualSceneMesh :: ~VisualSceneMesh ()
  {
    ;
  }


  void VisualSceneMesh :: DrawScene ()
  {
    try
      {
        shared_ptr<Mesh> mesh = GetMesh();

    if (!mesh)
      {
	VisualScene::DrawScene();
	return;
      }

    lock = NULL;

    static int timer = NgProfiler::CreateTimer ("VSMesh::DrawScene");

    NgProfiler::RegionTimer reg (timer);

    BuildScene();

    glEnable(GL_DEPTH_TEST);
    glClearColor(backcolor, backcolor, backcolor, 1.0);
    glClear(GL_COLOR_BUFFER_BIT | GL_DEPTH_BUFFER_BIT);

    glEnable (GL_COLOR_MATERIAL);
    glColor3f (1.0f, 1.0f, 1.0f);
    glLineWidth (1.0f);

    SetLight();

    glPushMatrix();
    glMultMatrixd (transformationmat);

    GLdouble projmat[16];                 // brauchen wir das ?
    glGetDoublev (GL_PROJECTION_MATRIX, projmat);


#ifdef PARALLEL
    glEnable (GL_BLEND);
    glBlendFunc (GL_SRC_ALPHA, GL_ONE_MINUS_SRC_ALPHA);
#endif


    glInitNames ();
    glPushName (0);

    //    glEnable (GL_LINE_SMOOTH);
    //         glEnable (GL_BLEND);
    //         glEnable (GL_POLYGON_SMOOTH);
    //         glDisable (GL_DEPTH_TEST);
    //         glBlendFunc (GL_SRC_ALPHA, GL_ONE_MINUS_SRC_ALPHA);
    //    glHint (GL_LINE_SMOOTH_HINT, GL_DONT_CARE);

    glDisable (GL_COLOR_MATERIAL);

    GLfloat matcol0[] = { 0, 0, 0, 1 };
    GLfloat matcol1[] = { 1, 1, 1, 1 };
    GLfloat matcolf[] = { 0, 1, 0, 1 };
    GLfloat matcolb[] = { 0.5, 0, 0, 1 };
    // GLfloat matcolblue[] = { 0, 0, 1, 1 };

    glMatrixMode (GL_MODELVIEW);

    glMaterialfv(GL_FRONT, GL_EMISSION, matcol0);
    glMaterialfv(GL_BACK, GL_EMISSION, matcol0);
    glMaterialfv(GL_FRONT_AND_BACK, GL_SPECULAR, matcol1);
    glMaterialfv(GL_FRONT, GL_AMBIENT_AND_DIFFUSE, matcolf);
    glMaterialfv(GL_BACK, GL_AMBIENT_AND_DIFFUSE, matcolb);

    glPolygonMode (GL_FRONT_AND_BACK, GL_FILL);

    // glPolygonOffset (1,10);
    glPolygonOffset (2,2);
    glEnable (GL_POLYGON_OFFSET_FILL);

    SetClippingPlane ();

    if (vispar.drawfilledtrigs)
      {
        BuildFilledList (false);


#ifdef PARALLELGL
	if (ntasks > 1 && vispar.drawtetsdomain > 0 && vispar.drawtetsdomain < ntasks)
	  glCallList (par_filledlists[vispar.drawtetsdomain]);
	else
#endif
	  glCallList (filledlist);
      }

    if (vispar.drawbadels)
      glCallList (badellist);

    BitArray shownode(mesh->GetNP()+1);
    if (vispar.clipping.enable)
      {
	shownode.Clear();
	for (PointIndex pi : mesh->Points().Range())
	  {
            Point<3> p = (*mesh)[pi];

            double val =
	      p[0] * clipplane[0] +
	      p[1] * clipplane[1] +
	      p[2] * clipplane[2] +
	      clipplane[3];

            if (val > 0) shownode.SetBit (pi);
	  }
      }
    else
      shownode.Set();
    if (vispar.drawprisms)
      {
	BuildPrismList (shownode);
	glCallList (prismlist);
      }

    if (vispar.drawpyramids)
      {
	BuildPyramidList (shownode);
	glCallList (pyramidlist);
      }

    if (vispar.drawhexes)
      {
	BuildHexList (shownode);
	glCallList (hexlist);
      }

    if (vispar.drawtets)
      {
	BuildTetList (shownode);
	glCallList (tetlist);
      }

    if (vispar.drawdomainsurf)
      {
	BuildDomainSurfList();
	glCallList (domainsurflist);
      }

    glDisable (GL_POLYGON_OFFSET_FILL);

    // draw lines

    glMatrixMode (GL_MODELVIEW);

    glMaterialfv(GL_FRONT_AND_BACK, GL_AMBIENT_AND_DIFFUSE, matcol0);
    glMaterialfv(GL_FRONT_AND_BACK, GL_EMISSION, matcol0);
    glMaterialfv(GL_FRONT_AND_BACK, GL_SPECULAR, matcol0);

    glPolygonMode (GL_FRONT_AND_BACK, GL_LINE);
    glLineWidth (1.0f);
    glColor3f (0.0f, 0.0f, 0.0f);
    glDisable (GL_LINE_SMOOTH);


    if (vispar.drawoutline)
      {
	glPolygonOffset (1, 1);
	glEnable (GL_POLYGON_OFFSET_LINE);

        BuildLineList ();

#ifdef PARALLELGL
	if (ntasks > 1 && vispar.drawtetsdomain > 0 && vispar.drawtetsdomain < ntasks)
	  glCallList (par_linelists[vispar.drawtetsdomain]);
	else
#endif
	  glCallList (linelist);


	glDisable (GL_POLYGON_OFFSET_LINE);
      }

    if (vispar.drawidentified)
      {
	glPolygonOffset (1, -1);
	glEnable (GL_POLYGON_OFFSET_LINE);
	glCallList (identifiedlist);
	glDisable (GL_POLYGON_OFFSET_LINE);
      }

    if (vispar.drawpointnumbers ||
	vispar.drawedgenumbers ||
	vispar.drawfacenumbers ||
        vispar.drawsegmentnumbers ||
        vispar.drawsurfaceelementnumbers ||
	vispar.drawelementnumbers)
      glCallList (pointnumberlist);


    glPopName();

    if (vispar.drawedges)
      {
	BuildEdgeList();
	glCallList (edgelist);
      }

    DrawMarker();

    glDisable(GL_CLIP_PLANE0);

    glPopMatrix();

    if (vispar.colormeshsize)
      DrawColorBar (minh, maxh, 1);

    DrawCoordinateCross ();
    DrawNetgenLogo ();


    if (lock)
      {
	lock -> UnLock();
	delete lock;
	lock = NULL;
      }
    
    glFinish();

    
      }
    catch (bad_weak_ptr e)
      {
        // cout << "don't have a mesh to visualize" << endl;
        VisualScene::DrawScene();      
      }

  }

  void VisualSceneMesh :: SelectCenter (int zoomall)
  {
    shared_ptr<Mesh> mesh = GetMesh();
    Point3d pmin, pmax;
    mesh->GetBox (pmin, pmax, -1);

    // works in NGSolve, mesh view
    if (mesh->GetDimension() == 2)
      mesh->GetBox (pmin, pmax);
    else // otherwise strange zooms during mesh generation
      mesh->GetBox (pmin, pmax, SURFACEPOINT);

    if (vispar.use_center_coords && zoomall==2)
    {
      center.X() = vispar.centerx;
      center.Y() = vispar.centery;
      center.Z() = vispar.centerz;
    }
    else if (selpoint >= 1 && zoomall==2)
      center = mesh->Point (selpoint);
    else if (marker && zoomall==2)
      center = *marker;
    else if (vispar.centerpoint >= 1 && zoomall==2)
      center = mesh->Point (vispar.centerpoint);
    else
      center = Center (pmin, pmax);

    double oldrad = rad;
    rad = 0.5 * Dist (pmin, pmax);
    if(rad == 0) rad = 1e-6;

    if (rad > 1.2 * oldrad ||
        mesh->GetMajorTimeStamp() > vstimestamp ||
        zoomall)
    {
      CalcTransformationMatrices();
    }

    glEnable (GL_NORMALIZE);

  }

  void VisualSceneMesh :: BuildScene (int zoomall)
  {
    try
      {
        shared_ptr<Mesh> mesh = GetMesh();
        
        if (!mesh)
      {
	VisualScene::BuildScene (zoomall);
	return;
      }

    if (!lock)
      {
	lock = new NgLock (mesh->Mutex());
	lock -> Lock();
      }

    static int timer = NgProfiler::CreateTimer ("VSMesh::BuildScene");
    NgProfiler::RegionTimer reg (timer);



    NgArray<Element2d> faces;

    int meshtimestamp = mesh->GetTimeStamp();
    if (meshtimestamp > vstimestamp || zoomall)
        SelectCenter(zoomall);

    if (pointnumberlist)
      {
	glDeleteLists (pointnumberlist, 1);
	pointnumberlist = 0;
      }

    if (badellist)
      {
	glDeleteLists (badellist, 1);
	badellist = 0;
      }
    /*
      if (prismlist)
      {
      glDeleteLists (prismlist, 1);
      prismlist = 0;
      }

      if (pyramidlist)
      {
      glDeleteLists (pyramidlist, 1);
      pyramidlist = 0;
      }

      if (hexlist)
      {
      glDeleteLists (hexlist, 1);
      hexlist = 0;
      }
    */
    if (identifiedlist)
      {
	glDeleteLists (identifiedlist, 1);
	identifiedlist = 0;
      }

    pointnumberlist = glGenLists (1);
    glNewList (pointnumberlist, GL_COMPILE);

    if (vispar.drawpointnumbers ||
	vispar.drawedgenumbers ||
	vispar.drawfacenumbers ||
        vispar.drawsegmentnumbers ||
        vispar.drawsurfaceelementnumbers ||
	vispar.drawelementnumbers)
      {
	//     	glEnable (GL_COLOR_MATERIAL);
	GLfloat textcol[3] = { float(1-backcolor),
                               float(1-backcolor),
                               float(1-backcolor) };
	glColor3fv (textcol);
	glNormal3d (0, 0, 1);
	glPushAttrib (GL_LIST_BIT);
	// glListBase (fontbase);

	char buf[30];

	if (vispar.drawpointnumbers)
	  for (PointIndex pi : mesh->Points().Range())
            {
	      const Point3d & p = mesh->Point(pi);
	      glRasterPos3d (p.X(), p.Y(), p.Z());

	      snprintf (buf, size(buf),  "%d", int(pi));

	      // glCallLists (strlen (buf), GL_UNSIGNED_BYTE, buf);
	      MyOpenGLText (buf);
            }

	if (vispar.drawedgenumbers)
	  {
	    /*
	      for (SegmentIndex i = 0; i < mesh->GetNSeg(); i++)
	      {
	      const Segment & seg = (*mesh)[i];

	      const Point3d & p1 = mesh->Point(seg[0]);
	      const Point3d & p2 = mesh->Point(seg[1]);
	      const Point3d p = Center (p1, p2);
	      glRasterPos3d (p.X(), p.Y(), p.Z());

	      snprintf (buf, size(buf),  "%d", seg.edgenr);
	      glCallLists (strlen (buf), GL_UNSIGNED_BYTE, buf);
	      }
	    */

	    const MeshTopology & top = mesh->GetTopology();
	    for (int i = 1; i <= top.GetNEdges(); i++)
	      {
		// int v1, v2;
		// top.GetEdgeVertices (i, v1, v2);
                auto [v1,v2] = top.GetEdgeVertices(i-1);
		const Point3d & p1 = mesh->Point(v1);
		const Point3d & p2 = mesh->Point(v2);
		const Point3d p = Center (p1, p2);
		glRasterPos3d (p.X(), p.Y(), p.Z());

		snprintf (buf, size(buf),  "%d", i);
		// glCallLists (strlen (buf), GL_UNSIGNED_BYTE, buf);
		MyOpenGLText (buf);

	      }

	  }

          if (vispar.drawsegmentnumbers)
            {
              for (auto si : Range(mesh->LineSegments())) {
                const auto& seg = (*mesh)[si];
                Point<3> c = Center((*mesh)[seg[0]], (*mesh)[seg[1]]);
		glRasterPos3d (c[0], c[1], c[2]);
		snprintf (buf, size(buf),  "%d", int(si));
		MyOpenGLText (buf);
              }
            }

          if (vispar.drawfacenumbers)
	  {
	    const MeshTopology & top = mesh->GetTopology();
	    NgArray<int> v;
	    for (int i = 1; i <= top.GetNFaces(); i++)
	      {
		top.GetFaceVertices (i, v);
		const Point3d & p1 = mesh->Point(v.Elem(1));
		const Point3d & p2 = mesh->Point(v.Elem(2));
		const Point3d & p3 = mesh->Point(v.Elem(3));
		Point3d p;
		if (v.Elem(4) == 0)
                  {
		    p = Center (p1, p2, p3);
                  }
		else
                  {
		    const Point3d & p4 = mesh->Point(v.Elem(4));
		    Point3d hp1 = Center (p1, p2);
		    Point3d hp2 = Center (p3, p4);
		    p = Center (hp1, hp2);
                  }

		glRasterPos3d (p.X(), p.Y(), p.Z());
		snprintf (buf, size(buf),  "%d", i);
		// glCallLists (strlen (buf), GL_UNSIGNED_BYTE, buf);
		MyOpenGLText (buf);
	      }
	  }

          if (vispar.drawsurfaceelementnumbers)
            {
              for (auto sei : Range(mesh->SurfaceElements()))
                {
                  const auto & sel = (*mesh)[sei];
                  Point<3> c;
                  if(sel.GetNV() == 3)
                    c = Center((*mesh)[sel[0]],
                               (*mesh)[sel[1]],
                               (*mesh)[sel[2]]);
                  else
                    c = Center((*mesh)[sel[0]],
                               (*mesh)[sel[1]],
                               (*mesh)[sel[2]],
                               (*mesh)[sel[3]]);
                  glRasterPos3d (c[0], c[1], c[2]);
                  snprintf (buf, size(buf),  "%d", int(sei));
                  MyOpenGLText (buf);
                }
            }

        if (vispar.drawelementnumbers)
	  {
	    NgArray<int> v;
	    for (int i = 1; i <= mesh->GetNE(); i++)
	      {
		// const ELEMENTTYPE & eltype = mesh->ElementType(i);
		NgArray<int> pnums;

		Point3d p;
		const Element & el = mesh->VolumeElement (i);

		if ( ! el.PNum(5)) //  eltype == TET )
                  {

		    pnums.SetSize(4);
		    for( int j = 0; j < pnums.Size(); j++)
		      pnums[j] = mesh->VolumeElement(i).PNum(j+1);


		    const Point3d & p1 = mesh->Point(pnums[0]);
		    const Point3d & p2 = mesh->Point(pnums[1]);
		    const Point3d & p3 = mesh->Point(pnums[2]);
		    const Point3d & p4 = mesh->Point(pnums[3]);
		    p = Center (p1, p2, p3, p4);
                  }
		else if ( ! el.PNum(6)) // eltype == PYRAMID
                  {
		    pnums.SetSize(5);
		    for( int j = 0; j < pnums.Size(); j++)
		      pnums[j] = mesh->VolumeElement(i).PNum(j+1);


		    const Point3d & p1 = mesh->Point(pnums[0]);
		    const Point3d & p2 = mesh->Point(pnums[1]);
		    const Point3d & p3 = mesh->Point(pnums[2]);
		    const Point3d & p4 = mesh->Point(pnums[3]);
		    const Point3d & p5 = mesh->Point(pnums[4]);

		    p.X()  = 0.3 * p5.X() + 0.7 * Center ( Center(p1, p3) , Center(p2, p4) ) . X();
		    p.Y()  = 0.3 * p5.Y() + 0.7 * Center ( Center(p1, p3) , Center(p2, p4) ) . Y();
		    p.Z()  = 0.3 * p5.Z() + 0.7 * Center ( Center(p1, p3) , Center(p2, p4) ) . Z();

                  }
		else if ( ! el.PNum(7) ) // eltype == PRISM
                  {
		    pnums.SetSize(6);
		    for( int j = 0; j < pnums.Size(); j++)
		      pnums[j] = mesh->VolumeElement(i).PNum(j+1);

		    const Point3d & p1 = mesh->Point(pnums[0]);
		    const Point3d & p2 = mesh->Point(pnums[1]);
		    const Point3d & p3 = mesh->Point(pnums[2]);
		    const Point3d & p11 = mesh->Point(pnums[3]);
		    const Point3d & p12 = mesh->Point(pnums[4]);
		    const Point3d & p13 = mesh->Point(pnums[5]);
		    p = Center (  Center (p1, p2, p3) , Center(p11, p12, p13) )  ;

                  }
		else if (! el.PNum(9) ) // eltype == HEX
                  {
		    pnums.SetSize(8);
		    for( int j = 0; j < pnums.Size(); j++)
		      pnums[j] = mesh->VolumeElement(i).PNum(j+1);

		    const Point3d & p1 = mesh->Point(pnums[0]);
		    const Point3d & p2 = mesh->Point(pnums[1]);
		    const Point3d & p3 = mesh->Point(pnums[2]);
		    const Point3d & p4 = mesh->Point(pnums[3]);
		    const Point3d & p5 = mesh->Point(pnums[4]);
		    const Point3d & p6 = mesh->Point(pnums[5]);
		    const Point3d & p7 = mesh->Point(pnums[6]);
		    const Point3d & p8 = mesh->Point(pnums[7]);

		    p = Center ( Center ( Center(p1, p3), Center(p2, p4) ) , Center( Center(p5, p7) , Center(p6, p8 ) ) );
                  }

		glRasterPos3d (p.X(), p.Y(), p.Z());
		snprintf (buf, size(buf),  "%d", i);
		// glCallLists (strlen (buf), GL_UNSIGNED_BYTE, buf);
		MyOpenGLText (buf);

	      }
	  }


	glPopAttrib ();
	//      	glDisable (GL_COLOR_MATERIAL);
      }
    glEndList ();






    badellist = glGenLists (1);
    glNewList (badellist, GL_COMPILE);

    if (vispar.drawbadels)
      {
	//  SetClippingPlane ();

	static float badelcol[] = { 1.0f, 0.0f, 1.0f, 1.0f };
	glLineWidth (1.0f);

	for (int i = 1; i <= mesh->GetNE(); i++)
	  {
            if (mesh->VolumeElement(i).Flags().badel ||
		mesh->VolumeElement(i).Flags().illegal ||
		(i == vispar.drawelement))
	      {
		// copy to be thread-safe
		Element el = mesh->VolumeElement (i);
		el.GetSurfaceTriangles (faces);

		glMaterialfv(GL_FRONT, GL_AMBIENT_AND_DIFFUSE, badelcol);


		//	  if ( (el.GetNP() == 4) || (el.GetNP() == 10))
		if (el.PNum(1))
		  {
		    glBegin (GL_TRIANGLES);

		    for (int j = 1; j <= faces.Size(); j++)
		      {
			Element2d & face = faces.Elem(j);
			const Point3d & lp1 = mesh->Point (el.PNum(face.PNum(1)));
			const Point3d & lp2 = mesh->Point (el.PNum(face.PNum(2)));
			const Point3d & lp3 = mesh->Point (el.PNum(face.PNum(3)));
			Vec3d n = Cross (Vec3d (lp1, lp2), Vec3d (lp1, lp3));
			n /= (n.Length()+1e-12);
			glNormal3d (n.X(), n.Y(), n.Z());
			glVertex3d (lp1.X(), lp1.Y(), lp1.Z());
			glVertex3d (lp2.X(), lp2.Y(), lp2.Z());
			glVertex3d (lp3.X(), lp3.Y(), lp3.Z());
		      }

		    glEnd();
		  }
	      }
	  }



	for (ElementIndex ei : mesh->VolumeElements().Range())
	  {
            if ((*mesh)[ei].Flags().badel)
	      {
		// copy to be thread-safe
		Element el = (*mesh)[ei];
		if ( (el.GetNP() == 4) || (el.GetNP() == 10))
		  {
		    glBegin (GL_LINES);
		    glVertex3d (0,0,0);
		    const Point3d & p = mesh->Point(el.PNum(1));
		    glVertex3d (p.X(), p.Y(), p.Z());
		    glEnd();
		  }
	      }
	  }


	for (int i = 1; i <= mesh->GetNE(); i++)
	  {
            Element el = mesh->VolumeElement (i);
            int hascp = 0;
            for (int j = 1; j <= el.GetNP(); j++)
	      if (el.PNum(j) == vispar.centerpoint)
		hascp = 1;

            if (hascp)
	      {
		(*testout) << "draw el " << i << " : ";
		for (int j = 1; j <= el.GetNP(); j++)
                  (*testout) << el.PNum(j) << " ";
		(*testout) << endl;

		if (el.GetNP() == 4)
		  {
		    int et[6][2] =
		      { { 1, 2 },
			{ 1, 3 },
			{ 1, 4 },
			{ 2, 3 },
			{ 2, 4 },
			{ 3, 4 } } ;

		    for (int j = 0; j < 6; j++)
		      {
			glBegin (GL_LINES);
			const Point3d & p1 = mesh->Point (el.PNum(et[j][0]));
			const Point3d & p2 = mesh->Point (el.PNum(et[j][1]));
			glVertex3d (p1.X(), p1.Y(), p1.Z());
			glVertex3d (p2.X(), p2.Y(), p2.Z());
			glEnd ();
		      }
		  }


		if (el.GetNP() == 10)
		  {
		    int et[12][2] =
		      { { 1, 5 },
			{ 2, 5 },
			{ 1, 6 },
			{ 3, 6 },
			{ 1, 7 },
			{ 4, 7 },
			{ 2, 8 },
			{ 3, 8 },
			{ 2, 9 },
			{ 4, 9 },
			{ 3, 10 },
			{ 4, 10 } };

		    for (int j = 0; j < 12; j++)
		      {
			glBegin (GL_LINES);
			const Point3d & p1 = mesh->Point (el.PNum(et[j][0]));
			const Point3d & p2 = mesh->Point (el.PNum(et[j][1]));
			glVertex3d (p1.X(), p1.Y(), p1.Z());
			glVertex3d (p2.X(), p2.Y(), p2.Z());
			glEnd ();
		      }
		  }
	      }
	  }

        for (SurfaceElementIndex sei : mesh->SurfaceElements().Range())
	  {
            Element2d el = (*mesh)[sei]; // copy to be thread-safe
            if (!el.BadElement())
	      continue;

            if (el.IsDeleted()) continue;
            
            bool drawel = true;
            for (int j = 1; j <= el.GetNP(); j++)
	      if (!el.PNum(j).IsValid())
		drawel = false;

            if (!drawel)
	      continue;

            // cout << int (el.GetType()) << " " << flush;
            switch (el.GetType())
	      {
	      case TRIG:
		{
                  glBegin (GL_TRIANGLES);

                  Point3d lp1 = mesh->Point (el.PNum(1));
                  Point3d lp2 = mesh->Point (el.PNum(2));
                  Point3d lp3 = mesh->Point (el.PNum(3));
                  Vec3d n = Cross (Vec3d (lp1, lp2), Vec3d (lp1, lp3));
                  n /= (n.Length() + 1e-12);
                  glNormal3dv (&n.X());
                  glVertex3dv (&lp1.X());
                  glVertex3dv (&lp2.X());
                  glVertex3dv (&lp3.X());
                  glEnd();
                  break;
		}
	      case QUAD:
		{
                  glBegin (GL_QUADS);

                  const Point3d & lp1 = mesh->Point (el.PNum(1));
                  const Point3d & lp2 = mesh->Point (el.PNum(2));
                  const Point3d & lp3 = mesh->Point (el.PNum(4));
                  const Point3d & lp4 = mesh->Point (el.PNum(3));
                  Vec3d n = Cross (Vec3d (lp1, lp2),
				   Vec3d (lp1, Center (lp3, lp4)));
                  n /= (n.Length() + 1e-12);
                  glNormal3d (n.X(), n.Y(), n.Z());
                  glVertex3d (lp1.X(), lp1.Y(), lp1.Z());
                  glVertex3d (lp2.X(), lp2.Y(), lp2.Z());
                  glVertex3d (lp4.X(), lp4.Y(), lp4.Z());
                  glVertex3d (lp3.X(), lp3.Y(), lp3.Z());
                  glEnd();
                  break;
		}
	      case TRIG6:
		{
                  int lines[6][2] = {
		    { 1, 6 }, { 2, 6 },
		    { 1, 5 }, { 3, 5 },
		    { 2, 4 }, { 3, 4 } };

		  glBegin (GL_LINES);
		  for (int j = 0; j < 6; j++)
		    {
		      glVertex3dv ( mesh->Point (el.PNum(lines[j][0])) );
		      glVertex3dv ( mesh->Point (el.PNum(lines[j][0])) );
		    }
		  glEnd();
		  break;
		}

	      case QUAD6:
		{
                  int lines[6][2] = {
		    { 1, 5 }, { 2, 5 },
		    { 3, 6 }, { 4, 6 },
		    { 1, 4 }, { 2, 3 } };

		  glBegin (GL_LINES);

		  for (int j = 0; j < 6; j++)
		    {
		      const Point3d & lp1 = mesh->Point (el.PNum(lines[j][0]));
		      const Point3d & lp2 = mesh->Point (el.PNum(lines[j][1]));

		      glVertex3d (lp1.X(), lp1.Y(), lp1.Z());
		      glVertex3d (lp2.X(), lp2.Y(), lp2.Z());
		    }
		  glEnd ();
		  break;
		}
	      default:
		PrintSysError ("Cannot draw surface element of type ",
			       int(el.GetType()));
	      }
	  }
	glLoadName (0);

      }
    glEndList ();


    if (1)
      {

	identifiedlist = glGenLists (1);
	glNewList (identifiedlist, GL_COMPILE);

	GLfloat identifiedcol[] = { 1, 0, 1, 1 };

	glLineWidth (3);

	//  for (i = 1; i <= mesh->GetNSeg(); i++)

	if (mesh -> HasIdentifications() )
	  {
            // if (mesh->GetIdentifications().HasIdentifiedPoints())
	      {
                auto & idpts =
                  mesh->GetIdentifications().GetIdentifiedPoints();
                
		for (int i = 1; i <= idpts.GetNBags(); i++)
                  for (int j = 1; j <= idpts.GetBagSize(i); j++)
		    {
		      INDEX_3 pts;
		      int dummy, val;

		      idpts.GetData (i, j, pts, dummy);
                      val = pts[2];
		      const Point3d & p1 = mesh->Point(pts.I1());
		      const Point3d & p2 = mesh->Point(pts.I2());

		      glMaterialfv (GL_FRONT_AND_BACK, GL_AMBIENT_AND_DIFFUSE,
				    identifiedcol);

		      glBegin (GL_LINES);
		      glVertex3f (p1.X(), p1.Y(), p1.Z());
		      glVertex3f (p2.X(), p2.Y(), p2.Z());
		      glEnd();
		    }
	      }
	  }

	glEndList ();
      }

    if (lock)
      {
	lock -> UnLock();
	delete lock;
	lock = NULL;
      }

    vstimestamp = meshtimestamp;
      }
    catch (bad_weak_ptr e)
      {
        PrintMessage (3, "vsmesh::buildscene: don't have a mesh to visualize");
        VisualScene::BuildScene (zoomall);
      }

  }



  void VisualSceneMesh :: BuildColorTexture ()
  {
    shared_ptr<Mesh> mesh = GetMesh();

    if(colors.texture == -1)
      glGenTextures(1, &colors.texture);

    // build color texture
    glBindTexture(GL_TEXTURE_2D, colors.texture);
    Array<float> data;
    for(auto fdi : Range(1, mesh->GetNFD()+1))
    {
      auto c = mesh->GetFaceDescriptor(fdi).SurfColour();
      ArrayMem<float, 4> cf{float(c[0]), float(c[1]), float(c[2]), float(c[3])};
      if(fdi==selface)
        cf = {1.0f, 0.0f, 0.0f, 1.0f};
      data.Append(cf);
    }
    int n = data.Size()/4;
    colors.width = max2(1,min2(n, 1024));
    colors.height = (n+colors.width-1)/colors.width;
    for([[maybe_unused]] auto i: Range(n, colors.width*colors.height))
      data.Append({0.0f, 0.0f, 0.0f, 0.0f});
    glTexImage2D(GL_TEXTURE_2D, 0, GL_RGBA, colors.width, colors.height, 0, GL_RGBA, GL_FLOAT, data.Data());
    glTexParameteri (GL_TEXTURE_2D, GL_TEXTURE_MIN_FILTER, GL_LINEAR);
    glTexParameteri (GL_TEXTURE_2D, GL_TEXTURE_MAG_FILTER, GL_NEAREST);
  }

  void VisualSceneMesh :: BuildFilledList (bool build_select)
  {
    shared_ptr<Mesh> mesh = GetMesh();
    
    static int timer = NgProfiler::CreateTimer ("Mesh::BuildFilledList");
    NgProfiler::RegionTimer reg (timer);
    auto & list = build_select ? select.list : filledlist;
    auto & timestamp = build_select ? select.list_timestamp : filledtimestamp;
    if (list && timestamp > max(mesh->GetTimeStamp(), subdivision_timestamp))
      return;


#ifdef PARALLELGL
    if (id == 0 && ntasks > 1)
      {
	InitParallelGL();
	par_filledlists.SetSize (ntasks);

	MyMPI_SendCmd ("redraw");
	MyMPI_SendCmd ("filledlist");
	for ( int dest = 1; dest < ntasks; dest++ )
	  MyMPI_Recv (par_filledlists[dest], dest, MPI_TAG_VIS);

	if (list)
	  glDeleteLists (list, 1);

	list = glGenLists (1);
	glNewList (list, GL_COMPILE);

	for ( int dest = 1; dest < ntasks; dest++ )
	  glCallList (par_filledlists[dest]);

	glEndList();

	timestamp = NextTimeStamp();
	return;
      }

#endif


    if (!lock)
      {
	lock = new NgLock (mesh->Mutex());
	lock -> Lock();
      }

    timestamp = NextTimeStamp();

    if(!build_select && !vispar.colormeshsize)
      BuildColorTexture();

    if (list)
      glDeleteLists (list, 1);

    list = glGenLists (1);
    glNewList (list, GL_COMPILE);

    glBindTexture(GL_TEXTURE_2D, colors.texture);
      
#ifdef STLGEOM
    STLGeometry * stlgeometry = dynamic_cast<STLGeometry*> (ng_geometry);
    bool checkvicinity = (stlgeometry != NULL) && stldoctor.showvicinity;
#endif
    glEnable (GL_NORMALIZE);

    glLineWidth (1.0f);

    Vector locms;

    if (vispar.colormeshsize)
      {
	glEnable (GL_COLOR_MATERIAL);
	glShadeModel (GL_SMOOTH);
	locms.SetSize (mesh->GetNP());
	maxh = -1;
	minh = 1e99;
	for (int i = 1; i <= locms.Size(); i++)
	  {
            Point3d p = mesh->Point(i);
            locms(i-1) = mesh->GetH (p);
            if (locms(i-1) > maxh) maxh = locms(i-1);
            if (locms(i-1) < minh) minh = locms(i-1);
	  }
	if (!locms.Size())
	  { 
            minh = 1; 
            maxh = 10; 
	  }
      }
    else if (build_select)
    {
      glDisable(GL_TEXTURE_1D);
      glDisable(GL_TEXTURE_2D);
      glDisable(GL_FOG);
      glDisable(GL_LIGHTING);
      glDisable (GL_COLOR_MATERIAL);
    }
    else
    {
      glDisable(GL_TEXTURE_1D);
      glEnable(GL_TEXTURE_2D);
      glEnable (GL_COLOR_MATERIAL);
      glBindTexture(GL_TEXTURE_2D, colors.texture);
    }

    // GLfloat matcol[] = { 0, 1, 0, 1 };
    // GLfloat matcolsel[] = { 1, 0, 0, 1 };

    GLint rendermode;
    glGetIntegerv (GL_RENDER_MODE, &rendermode);

    CurvedElements & curv = mesh->GetCurvedElements();

    int hoplotn = 1 << subdivisions;
    
    Array<SurfaceElementIndex> seia;


    for (int faceindex = 1; faceindex <= mesh->GetNFD(); faceindex++)
      {
	mesh->GetSurfaceElementsOfFace (faceindex, seia);

        if(!build_select && !vispar.colormeshsize)
        {
          int i = faceindex-1;
          float x = (0.5+i%colors.width)/colors.width;
          float y = (0.5+i/colors.width)/colors.height;
          glTexCoord2f(x,y);
        }
	
        static Point<3> xa[129];
        static Vec<3> na[129];

        
        
	for (int hi = 0; hi < seia.Size(); hi++)
	  {
	    SurfaceElementIndex sei = seia[hi];
            const Element2d & el = (*mesh)[sei];

            bool drawel = (!el.IsDeleted() && el.IsVisible());

#ifdef STLGEOM
            if (checkvicinity)
	      for (int j = 0; j < el.GetNP(); j++)
		if (!stlgeometry->Vicinity(el.GeomInfoPi(j+1).trignum))
		  drawel = 0;
#endif

            if (!drawel)
	      continue;
	    
	    if (build_select)
            {
              GLushort r,g,b;
              r = (sei+1) % (1<<16);
              g = (sei+1) >> 16;
              b = 0;
              glColor3us(r,g,b);
            }

            switch (el.GetType())
	      {
	      case TRIG:
		{
                  if (curv.IsHighOrder()) //  && curv.IsSurfaceElementCurved(sei))
		    {
		      if (hoplotn > 128) hoplotn = 128;

		      for (int i = 0; i < hoplotn; i++)
			{
			  glBegin (GL_TRIANGLE_STRIP);

			  for (int j = 0; j <= hoplotn-i; j++)
			    for (int k = 0; k < 2; k++)
			      {
				if (j == hoplotn-i && k == 1) continue;

				if (i > 0 && k == 0)
				  {
				    glNormal3dv (na[j]);
				    glVertex3dv (xa[j]);
				    continue;
				  }

				Point<2> xref (double(j) / hoplotn, double(i+k) / hoplotn);
				Point<3> xglob;
				Mat<3,2> dxdxi;
				Vec<3> dx, dy, n;

				curv.CalcSurfaceTransformation (xref, sei, xglob, dxdxi);
				for (int i = 0; i < 3; i++)
				  {
				    dx(i) = dxdxi(i,0);
				    dy(i) = dxdxi(i,1);
				  }
				n = Cross (dx, dy);
				glNormal3dv (n);
				glVertex3dv (xglob);

				if (k == 1)
				  {
				    na[j] = n;
				    xa[j] = xglob;
				  }
			      }
			  glEnd();
			}
		    }
                  else // not high order
		    {
		      glBegin (GL_TRIANGLES);
		      
		      const Point<3> & lp0 = (*mesh) [el[0]];
		      const Point<3> & lp1 = (*mesh) [el[1]];
		      const Point<3> & lp2 = (*mesh) [el[2]];

		      Vec<3> n = Cross (lp1-lp0, lp2-lp0).Normalize();
		      glNormal3dv (n);

		      for (int j = 0; j < 3; j++)
			{
			  if (vispar.colormeshsize)
			    SetOpenGlColor  (locms(el[0]-1), minh, maxh, 0);
			  glVertex3dv ( (*mesh)[el[j]] );
			}
		      
		      glEnd();
		    }
		  
                  break;
		}
	      case QUAD:
		{
                  if (curv.IsHighOrder()) //  && curv.IsSurfaceElementCurved(sei))
		    {
		      Point<2> xr[4];
		      Point<3> xg;
		      Vec<3> dx, dy, n;

		      glBegin (GL_QUADS);

		      for (int i = 0; i < hoplotn; i++)
                        for (int j = 0; j < hoplotn; j++)
			  {
			    xr[0](0) = (double)    i/hoplotn; xr[0](1) = (double)    j/hoplotn;
			    xr[1](0) = (double)(i+1)/hoplotn; xr[1](1) = (double)    j/hoplotn;
			    xr[2](0) = (double)(i+1)/hoplotn; xr[2](1) = (double)(j+1)/hoplotn;
			    xr[3](0) = (double)    i/hoplotn; xr[3](1) = (double)(j+1)/hoplotn;

			    for (int l=0; l<4; l++)
			      {
				Mat<3,2> dxdxi;

				curv.CalcSurfaceTransformation (xr[l], sei, xg, dxdxi);
				for (int i = 0; i < 3; i++)
				  {
				    dx(i) = dxdxi(i,0);
				    dy(i) = dxdxi(i,1);
				  }

				n = Cross (dx, dy);
				n.Normalize();
				glNormal3d (n(0), n(1), n(2));
				glVertex3d (xg(0), xg(1), xg(2));
			      }

			  }

		      glEnd();
		    }

                  else // not high order

		    {
		      glBegin (GL_QUADS);

		      const Point<3> & lp1 = mesh->Point (el.PNum(1));
		      const Point<3> & lp2 = mesh->Point (el.PNum(2));
		      const Point<3> & lp3 = mesh->Point (el.PNum(4));
		      const Point<3> & lp4 = mesh->Point (el.PNum(3));

		      Vec<3> n = Cross (lp2-lp1,  Center (lp3, lp4)-lp1);
		      n.Normalize();
		      glNormal3dv (n);

		      glVertex3dv (lp1);
		      glVertex3dv (lp2);
		      glVertex3dv (lp4);
		      glVertex3dv (lp3);

		      glEnd ();
		    }
                  break;
		}

	      case TRIG6:
		{
                  glBegin (GL_TRIANGLES);

                  static int trigs[4][3] = {
		    { 1, 6, 5 },
		    { 2, 4, 6 },
		    { 3, 5, 4 },
		    { 4, 5, 6 } };

		  for (int j = 0; j < 4; j++)
		    {
		      const Point<3> & lp1 = mesh->Point (el.PNum(trigs[j][0]));
		      const Point<3> & lp2 = mesh->Point (el.PNum(trigs[j][1]));
		      const Point<3> & lp3 = mesh->Point (el.PNum(trigs[j][2]));
		      // Vec3d n = Cross (Vec3d (lp1, lp2), Vec3d (lp1, lp3));
		      Vec<3> n = Cross (lp2-lp1, lp3-lp1);
		      glNormal3dv (n);

		      glVertex3dv (lp1);
		      glVertex3dv (lp2);
		      glVertex3dv (lp3);
		    }
		  glEnd();
		  break;
		}

	      case QUAD6:
		{
                  glBegin (GL_QUADS);
                  static int quads[2][4] = {
		    { 1, 5, 6, 4 },
		    { 5, 2, 3, 6 } };

		  for (int j = 0; j < 2; j++)
		    {
		      Point3d lp1 = mesh->Point (el.PNum(quads[j][0]));
		      Point3d lp2 = mesh->Point (el.PNum(quads[j][1]));
		      Point3d lp3 = mesh->Point (el.PNum(quads[j][2]));
		      Point3d lp4 = mesh->Point (el.PNum(quads[j][3]));
		      Vec3d n = Cross (Vec3d (lp1, lp2), Vec3d (lp1, lp3));
		      n /= (n.Length() + 1e-12);
		      glNormal3dv (&n.X());
		      glVertex3dv (&lp1.X());
		      glVertex3dv (&lp2.X());
		      glVertex3dv (&lp3.X());
		      glVertex3dv (&lp4.X());
		    }
		  glEnd();
		  break;
		}

	      case QUAD8:
		{
                  glBegin (GL_TRIANGLES);
                  static int boundary[] =
		    { 1, 5, 2, 8, 3, 6, 4, 7, 1 };

                  Point3d c(0,0,0);
                  for (int j = 0; j < 4; j++)
		    {
		      const Point3d & hp = mesh->Point (el[j]);
		      c.X() -= 0.25 * hp.X();
		      c.Y() -= 0.25 * hp.Y();
		      c.Z() -= 0.25 * hp.Z();
		    }
                  for (int j = 4; j < 8; j++)
		    {
		      const Point3d & hp = mesh->Point (el[j]);
		      c.X() += 0.5 * hp.X();
		      c.Y() += 0.5 * hp.Y();
		      c.Z() += 0.5 * hp.Z();
		    }

                  for (int j = 0; j < 8; j++)
		    {
		      Point3d lp1 = mesh->Point (el.PNum(boundary[j]));
		      Point3d lp2 = mesh->Point (el.PNum(boundary[j+1]));

		      Vec3d n = Cross (Vec3d (c, lp1), Vec3d (c, lp2));
		      n /= (n.Length() + 1e-12);
		      glNormal3dv (&n.X());
		      glVertex3dv (&lp1.X());
		      glVertex3dv (&lp2.X());
		      glVertex3dv (&c.X());
		    }
                  glEnd();
                  break;
		}


	      default:
		PrintSysError ("Cannot draw (2) surface element of type ",
			       int(el.GetType()));
	      }
	    

	    
	  }
      }
    

    glLoadName (0);
    glBindTexture(GL_TEXTURE_2D, 0);
    glEndList ();


#ifdef PARALLELGL
    glFinish();
    if (id > 0)
      MyMPI_Send (list, 0, MPI_TAG_VIS);
#endif
  }


  void VisualSceneMesh :: BuildLineList()
  {
    shared_ptr<Mesh> mesh = GetMesh();
    if (linetimestamp > max(mesh->GetTimeStamp (), subdivision_timestamp))
      return;

    static int timer = NgProfiler::CreateTimer ("Mesh::BuildLineList");
    NgProfiler::RegionTimer reg (timer);

#ifdef PARALLELGL

    if (id == 0 && ntasks > 1)
      {
	InitParallelGL();

	par_linelists.SetSize (ntasks);

	MyMPI_SendCmd ("redraw");
	MyMPI_SendCmd ("linelist");

	for ( int dest = 1; dest < ntasks; dest++ )
	  MyMPI_Recv (par_linelists[dest], dest, MPI_TAG_VIS);

	if (linelist)
	  glDeleteLists (linelist, 1);

	linelist = glGenLists (1);
	glNewList (linelist, GL_COMPILE);

	for ( int dest = 1; dest < ntasks; dest++ )
	  glCallList (par_linelists[dest]);

	glEndList();


	linetimestamp = NextTimeStamp();
	return;
      }

#endif

    if (!lock)
      {
	lock = new NgLock (mesh->Mutex());
	lock -> Lock();
      }

    linetimestamp = NextTimeStamp();

#ifdef STLGEOM
    STLGeometry * stlgeometry = dynamic_cast<STLGeometry*> (ng_geometry);
    bool checkvicinity = (stlgeometry != NULL) && stldoctor.showvicinity;
#endif

    if (linelist)
      glDeleteLists (linelist, 1);

    linelist = glGenLists (1);
    glNewList (linelist, GL_COMPILE);

    // cout << "linelist = " << linelist << endl;

    glLineWidth (1.0f);


    int hoplotn = 1 << subdivisions;

    // PrintMessage (3, "nse = ", mesh->GetNSE());
    for (SurfaceElementIndex sei = 0; sei < mesh->GetNSE(); sei++)
      {
	const Element2d & el = (*mesh)[sei];

	bool drawel = (!el.IsDeleted() && el.IsVisible());

#ifdef STLGEOM
	if (checkvicinity)
	  for (int j = 0; j < el.GetNP(); j++)
	    if (!stlgeometry->Vicinity(el.GeomInfoPi(j+1).trignum))
	      drawel = 0;
#endif

	if (!drawel)
	  continue;

	switch (el.GetType())
	  {
	  case TRIG:
            {
	      CurvedElements & curv = mesh->GetCurvedElements();
	      if (curv.IsHighOrder()) //  && curv.IsSurfaceElementCurved(sei))
		{
                  Point<3> xg;
                  glBegin (GL_LINE_LOOP);
                  for (int i = 0; i < hoplotn; i++)
		    {
		      Point<2> xr (double(i) / hoplotn, 0);
		      curv.CalcSurfaceTransformation (xr, sei, xg);
		      glVertex3dv (xg);
		    }
                  for (int i = 0; i < hoplotn; i++)
		    {
		      Point<2> xr (double(hoplotn-i) / hoplotn, double(i)/hoplotn);
		      curv.CalcSurfaceTransformation (xr, sei, xg);
		      glVertex3dv (xg);
		    }
                  for (int i = 0; i < hoplotn; i++)
		    {
		      Point<2> xr (0, double(hoplotn-i) / hoplotn);
		      curv.CalcSurfaceTransformation (xr, sei, xg);
		      glVertex3dv (xg);
		    }

                  glEnd();
		}
	      else
		{
                  glBegin (GL_TRIANGLES);

		  for (int j = 0; j < 3; j++)
		    glVertex3dv ( (*mesh) [el[j]] );
		  /*
                  const Point<3> & lp0 = (*mesh) [el[0]];
                  const Point<3> & lp1 = (*mesh) [el[1]];
                  const Point<3> & lp2 = (*mesh) [el[2]];

                  glVertex3dv (lp0);
                  glVertex3dv (lp1);
                  glVertex3dv (lp2);
		  */
                  glEnd();
		}

	      break;

            }

	  case QUAD:
            {
	      CurvedElements & curv = mesh->GetCurvedElements();
	      if (curv.IsHighOrder()) //  && curv.IsSurfaceElementCurved(sei))
		{
                  Point<2> xr;
                  Point<3> xg;

                  glBegin (GL_LINE_STRIP);

                  for (int side = 0; side < 4; side++)
		    {
		      for (int i = 0; i <= hoplotn; i++)
			{
			  switch (side)
			    {
			    case 0:
			      xr(0) = (double) i/hoplotn;
			      xr(1) = 0.;
			      break;
			    case 1:
			      xr(0) = 1.;
			      xr(1) = (double) i/hoplotn;
			      break;
			    case 2:
			      xr(0) = (double) (hoplotn-i)/hoplotn;
			      xr(1) = 1.;
			      break;
			    case 3:
			      xr(0) = 0.;
			      xr(1) = (double) (hoplotn-i)/hoplotn;
			      break;
			    }

			  curv.CalcSurfaceTransformation (xr, sei, xg);
			  glVertex3d (xg(0), xg(1), xg(2));

			}

		    }
                  glEnd();

		} else {

		glBegin (GL_QUADS);

		const Point3d & lp1 = mesh->Point (el.PNum(1));
		const Point3d & lp2 = mesh->Point (el.PNum(2));
		const Point3d & lp3 = mesh->Point (el.PNum(4));
		const Point3d & lp4 = mesh->Point (el.PNum(3));
		Vec3d n = Cross (Vec3d (lp1, lp2),
				 Vec3d (lp1, Center (lp3, lp4)));
		glNormal3d (n.X(), n.Y(), n.Z());
		glVertex3d (lp1.X(), lp1.Y(), lp1.Z());
		glVertex3d (lp2.X(), lp2.Y(), lp2.Z());
		glVertex3d (lp4.X(), lp4.Y(), lp4.Z());
		glVertex3d (lp3.X(), lp3.Y(), lp3.Z());
		glEnd();

	      }

	      break;

            }

	  case TRIG6:
            {
	      int lines[6][2] = {
		{ 1, 6 }, { 2, 6 },
		{ 1, 5 }, { 3, 5 },
		{ 2, 4 }, { 3, 4 } };

	      glBegin (GL_LINES);
	      for (int j = 0; j < 6; j++)
		{
		  const Point3d & lp1 = mesh->Point (el.PNum(lines[j][0]));
		  const Point3d & lp2 = mesh->Point (el.PNum(lines[j][1]));

		  glVertex3d (lp1.X(), lp1.Y(), lp1.Z());
		  glVertex3d (lp2.X(), lp2.Y(), lp2.Z());
		}

	      glEnd();
	      break;
            }

	  case QUAD6:
            {
	      int lines[6][2] = {
		{ 1, 5 }, { 2, 5 },
		{ 3, 6 }, { 4, 6 },
		{ 1, 4 }, { 2, 3 } };

	      glBegin (GL_LINES);

	      for (int j = 0; j < 6; j++)
		{
		  const Point3d & lp1 = mesh->Point (el.PNum(lines[j][0]));
		  const Point3d & lp2 = mesh->Point (el.PNum(lines[j][1]));

		  glVertex3d (lp1.X(), lp1.Y(), lp1.Z());
		  glVertex3d (lp2.X(), lp2.Y(), lp2.Z());
		}
	      glEnd ();
	      break;
            }

	  case QUAD8:
            {
	      int lines[8][2] = {
		{ 1, 5 }, { 2, 5 }, { 3, 6 }, { 4, 6 },
		{ 1, 7 }, { 4, 7 }, { 2, 8 }, { 3, 8 }
	      };

	      glBegin (GL_LINES);

	      for (int j = 0; j < 8; j++)
		{
                  const Point3d & lp1 = mesh->Point (el.PNum(lines[j][0]));
                  const Point3d & lp2 = mesh->Point (el.PNum(lines[j][1]));

                  glVertex3d (lp1.X(), lp1.Y(), lp1.Z());
                  glVertex3d (lp2.X(), lp2.Y(), lp2.Z());
		}
	      glEnd ();
	      break;
            }



	  default:
            PrintSysError ("Cannot draw (4) surface element of type ",
			   int(el.GetType()));
	  }
      }

    glEndList ();


#ifdef PARALLELGL
    glFinish();
    if (id > 0)
      MyMPI_Send (linelist, 0, MPI_TAG_VIS);
#endif
  }



  void VisualSceneMesh :: BuildEdgeList()
  {
    shared_ptr<Mesh> mesh = GetMesh();

    if (!lock)
      {
	lock = new NgLock (mesh->Mutex());
	lock -> Lock();
      }

    if (edgetimestamp > max(mesh->GetTimeStamp(), subdivision_timestamp) && vispar.drawtetsdomain == 0
	&& vispar.shrink == 1)
      return;

    edgetimestamp = NextTimeStamp();

    if (edgelist)
      glDeleteLists (edgelist, 1);

    edgelist = glGenLists (1);
    glNewList (edgelist, GL_COMPILE);


    GLfloat matcoledge[] = { 0, 0, 1, 1 };
    GLfloat matcolsingedge[] = { 1, 0, 1, 1 };

    glEnable (GL_POLYGON_OFFSET_LINE);
    glPolygonOffset (1, -1);

    glEnable (GL_COLOR_MATERIAL);
    glDisable (GL_LIGHTING);

    for (int i = 1; i <= mesh->GetNSeg(); i++)
      {
	const Segment & seg = mesh->LineSegment(i);

        /*
#ifdef PARALLEL
	if (ntasks > 1 && 
	    vispar.drawtetsdomain && 
	    // (vispar.drawtetsdomain != seg.GetPartition())) continue;
            (vispar.drawtetsdomain != mesh->seg_partition[i-1]) continue;
#endif
        */
        
	const Point3d & p1 = (*mesh)[seg[0]];
	const Point3d & p2 = (*mesh)[seg[1]];

	if (seg.singedge_left || seg.singedge_right)
	  glMaterialfv (GL_FRONT_AND_BACK, GL_AMBIENT_AND_DIFFUSE,
			matcolsingedge);
	else
	  glMaterialfv (GL_FRONT_AND_BACK, GL_AMBIENT_AND_DIFFUSE,
			matcoledge);

	if (seg.singedge_left || seg.singedge_right)
	  glColor3fv (matcolsingedge);
	else
	  glColor3fv (matcoledge);

	if (seg.edgenr == seledge)
	  glLineWidth(5);
	else
	  glLineWidth(2);

	if (mesh->GetCurvedElements().IsHighOrder())
	  {
            int hoplotn = 1 << subdivisions;
            // mesh->GetCurvedElements().GetNVisualSubsecs();

            Point<3> x;
            glBegin (GL_LINE_STRIP);

            for (int j = 0; j <= hoplotn; j++)
	      {
		mesh->GetCurvedElements().CalcSegmentTransformation ((double) j/hoplotn, i-1, x);
		glVertex3d (x(0), x(1), x(2));
		/*
		  cout << "x = " << x(0) << ", " << x(1) << ", " << x(2)
		  << ", norm = 1+" << sqrt(x(0)*x(0)+x(1)*x(1))-1
		  << ", phi = " << atan2(x(1), x(0))/M_PI << endl;
		*/
	      }

            glEnd();

	  }
	else
	  {
            glBegin (GL_LINES);
            Point<3> hp1 = p1;
            Point<3> hp2 = p2;
            Point<3> c = Center(p1, p2);
            if (vispar.shrink < 1)
	      {
		hp1 = c + vispar.shrink * (hp1 - c);
		hp2 = c + vispar.shrink * (hp2 - c);
	      }
            glVertex3dv (hp1);
            glVertex3dv (hp2); // p2.X(), p2.Y(), p2.Z());
            glEnd();
	  }
      }

    glLineWidth (2);
    glDisable (GL_POLYGON_OFFSET_LINE);

    glDisable (GL_COLOR_MATERIAL);
    glEnable (GL_LIGHTING);

    glEndList();
  }




  void VisualSceneMesh :: BuildPointNumberList()
  {
    ;
  }



  // Bernstein Pol B_{n,i}(x) = n! / i! / (n-i)! (1-x)^{n-i} x^i
  static inline double Bernstein (int n, int i, double x)
  {
    double val = 1;
    for (int j = 1; j <= i; j++)
      val *= x;
    for (int j = 1; j <= n-i; j++)
      val *= (1-x) * (j+i) / j;
    return val;
  }

  void ToBernstein (int order, Point<3> * pts, int stride)
  {
    static DenseMatrix mat, inv;
    static Vector vec1, vec2;

    if (mat.Height () != order+1)
      {
	mat.SetSize (order+1);
	inv.SetSize (order+1);
	vec1.SetSize (order+1);
	vec2.SetSize (order+1);
	for (int i = 0; i <= order; i++)
	  {
            double x = double(i) / order;
            for (int j = 0; j <= order; j++)
	      mat(i,j) = Bernstein (order, j, x);
	  }

	CalcInverse (mat, inv);
      }

    for (int i = 0; i < 3; i++)
      {
	for (int j = 0; j <= order; j++)
	  vec1(j) = pts[j*stride](i);

	inv.Mult (vec1, vec2);

	for (int j = 0; j <= order; j++)
	  pts[j*stride](i) = vec2(j);
      }
  }














  void VisualSceneMesh :: BuildTetList(const BitArray & shownode)
  {
    shared_ptr<Mesh> mesh = GetMesh();

    if (tettimestamp > mesh->GetTimeStamp () &&
	tettimestamp > vispar.clipping.timestamp )
      return;

    if (!lock)
      {
	lock = new NgLock (mesh->Mutex());
	lock -> Lock();
      }

    tettimestamp = NextTimeStamp();

    if (tetlist)
      glDeleteLists (tetlist, 1);


    tetlist = glGenLists (1);
    glNewList (tetlist, GL_COMPILE);


    Vector locms;

    // Philippose - 16/02/2010
    // Add Mesh size based coloring of 
    // meshes also for the volume elements
    if (vispar.colormeshsize)
      {
	glEnable (GL_COLOR_MATERIAL);
	locms.SetSize (mesh->GetNP());
	maxh = -1;
	minh = 1e99;
	for (int i = 1; i <= locms.Size(); i++)
	  {
            Point3d p = mesh->Point(i);
            locms(i-1) = mesh->GetH (p);
            if (locms(i-1) > maxh) maxh = locms(i-1);
            if (locms(i-1) < minh) minh = locms(i-1);
	  }
	if (!locms.Size())
	  { 
            minh = 1; 
            maxh = 10; 
	  }
      }
    else
      glDisable (GL_COLOR_MATERIAL);



    NgArray<Element2d> faces;

    static float tetcols[][4] =
      {
	{ 1.0f, 1.0f, 0.0f, 1.0f },
	{ 1.0f, 0.0f, 0.0f, 1.0f },
	{ 0.0f, 1.0f, 0.0f, 1.0f },
	{ 0.0f, 0.0f, 1.0f, 1.0f }
	/*
	{ 1.0f, 1.0f, 0.0f, 0.3f },
	{ 1.0f, 0.0f, 0.0f, 0.3f },
	{ 0.0f, 1.0f, 0.0f, 0.3f },
	{ 0.0f, 0.0f, 1.0f, 0.3f }
	*/
      };

    CurvedElements & curv = mesh->GetCurvedElements();


    if (!curv.IsHighOrder())
      glShadeModel (GL_FLAT);
    else
      glShadeModel (GL_SMOOTH);

    int hoplotn = max (2, 1 << subdivisions);



    for (ElementIndex ei = 0; ei < mesh->GetNE(); ei++)
      {
	if (vispar.drawtetsdomain > 0)
	  {
            /*
	    int tetid = vispar.drawmetispartition ? 
              (*mesh)[ei].GetPartition() : (*mesh)[ei].GetIndex();
            */
            int tetid =  (*mesh)[ei].GetIndex();
	    if (vispar.drawtetsdomain != tetid) continue;
	  }

	const Element & el = (*mesh)[ei];

	if ((el.GetType() == TET || el.GetType() == TET10) && !el.IsDeleted())
	  {
            bool visible = true;
            for (auto pi: el.PNums())
              if (!shownode[pi])
                visible = false;
            if(!visible) continue;

            int ind = el.GetIndex() % 4;

            // if (vispar.drawmetispartition && el.GetPartition()!=-1)
            // ind = el.GetPartition() % 4;

	    glMaterialfv(GL_FRONT, GL_AMBIENT_AND_DIFFUSE, tetcols[ind]);


            if (curv.IsHighOrder()) //  && curv.IsElementCurved(ei))
	      {
		const ELEMENT_FACE * faces = MeshTopology :: GetFaces1 (TET);
		const Point3d * vertices = MeshTopology :: GetVertices (TET);

		/*
		  Point<3> grid[11][11];
		  Point<3> fpts[3];
		  int order = vispar.subdivisions+1;

		  for (int trig = 0; trig < 4; trig++)
		  {
		  for (int j = 0; j < 3; j++)
		  fpts[j] = vertices[faces[trig][j]-1];

		  static Point<3> c(0.25, 0.25, 0.25);
		  if (vispar.shrink < 1)
		  for (int j = 0; j < 3; j++)
		  fpts[j] += (1-vispar.shrink) * (c-fpts[j]);

		  for (int ix = 0; ix <= order; ix++)
		  for (int iy = 0; iy <= order; iy++)
		  {
		  double lami[3] =
		  { (1-double(ix)/order) * (1-double(iy)/order),
		  (  double(ix)/order) * (1-double(iy)/order),
		  double(iy)/order };

		  Point<3> xl;
		  for (int l = 0; l < 3; l++)
		  xl(l) = lami[0] * fpts[0](l) + lami[1] * fpts[1](l) +
		  lami[2] * fpts[2](l);

		  curv.CalcElementTransformation (xl, i-1, grid[ix][iy]);
		  }

		  for (int j = 0; j <= order; j++)
		  ToBernstein (order, &grid[j][0], &grid[0][1]-&grid[0][0]);
		  for (int j = 0; j <= order; j++)
		  ToBernstein (order, &grid[0][j], &grid[1][0]-&grid[0][0]);

		  glMap2d(GL_MAP2_VERTEX_3,
		  0.0, 1.0, &grid[0][1](0)-&grid[0][0](0), order+1,
		  0.0, 1.0, &grid[1][0](0)-&grid[0][0](0), order+1,
		  &grid[0][0](0));
		  glEnable(GL_MAP2_VERTEX_3);
		  glEnable(GL_AUTO_NORMAL);

		  glMapGrid2f(8, 0.0, 0.999, 8, 0.0, 1.0);
		  glEvalMesh2(GL_FILL, 0, 8, 0, 8);

		  glDisable (GL_AUTO_NORMAL);
		  glDisable (GL_MAP2_VERTEX_3);
		  }
		*/



		int order = curv.GetOrder();

		NgArray<Point<3> > ploc ( (order+1)*(order+1) );
		NgArray<Point<3> > pglob ( (order+1)*(order+1) );
		Point<3> fpts[3];

		for (int trig = 0; trig < 4; trig++)
		  {
		    for (int j = 0; j < 3; j++)
		      fpts[j] = vertices[faces[trig][j]-1];

		    static Point<3> c(0.25, 0.25, 0.25);
		    if (vispar.shrink < 1)
		      for (int j = 0; j < 3; j++)
                        fpts[j] += (1-vispar.shrink) * (c-fpts[j]);

		    for (int ix = 0, ii = 0; ix <= order; ix++)
		      for (int iy = 0; iy <= order; iy++, ii++)
			{
			  double lami[3] =
			    { (1-double(ix)/order) * (1-double(iy)/order),
			      (  double(ix)/order) * (1-double(iy)/order),
			      double(iy)/order };

			  Point<3> xl;
			  for (int l = 0; l < 3; l++)
			    xl(l) = lami[0] * fpts[0](l) + lami[1] * fpts[1](l) +
			      lami[2] * fpts[2](l);

			  ploc[ii] = xl;
			}

		    curv.CalcMultiPointElementTransformation (&ploc, ei, &pglob, 0);

		    Point<3> grid[11][11];
		    for (int ix = 0, ii = 0; ix <= order; ix++)
		      for (int iy = 0; iy <= order; iy++, ii++)
			grid[ix][iy] = pglob[ii];

		    for (int j = 0; j <= order; j++)
		      ToBernstein (order, &grid[j][0], &grid[0][1]-&grid[0][0]);
		    for (int j = 0; j <= order; j++)
		      ToBernstein (order, &grid[0][j], &grid[1][0]-&grid[0][0]);

		    glMap2d(GL_MAP2_VERTEX_3,
			    0.0, 1.0, &grid[0][1](0)-&grid[0][0](0), order+1,
			    0.0, 1.0, &grid[1][0](0)-&grid[0][0](0), order+1,
			    &grid[0][0](0));
		    glEnable(GL_MAP2_VERTEX_3);
		    glEnable(GL_AUTO_NORMAL);

		    glMapGrid2f(hoplotn, 0.0, 0.9999f, hoplotn, 0.0, 1.0);
		    glEvalMesh2(GL_FILL, 0, hoplotn, 0, hoplotn);

		    glDisable (GL_AUTO_NORMAL);
		    glDisable (GL_MAP2_VERTEX_3);
		  }
	      }

            else // Not High Order

	      {
		Point<3> pts[4];
		for (int j = 0; j < 4; j++)
                  pts[j] = (*mesh)[el[j]];

		if (vispar.shrink < 1)
		  {
		    Point<3> c = Center (pts[0], pts[1], pts[2], pts[3]);
		    for (int j = 0; j < 4; j++)
		      pts[j] = c + vispar.shrink * (pts[j]-c);
		  }


		Vec<3> n;


		// Philippose - 16/02/2010
		// Add Mesh size based coloring of 
		// meshes also for the volume elements
		if(vispar.colormeshsize)
		  {
		    glBegin (GL_TRIANGLE_STRIP);
		    n = Cross (pts[1]-pts[0], pts[2]-pts[0]);
		    glNormal3dv (n);

		    SetOpenGlColor (locms(el[0]-1), minh, maxh, 0);
		    glVertex3dv (pts[0]);

		    SetOpenGlColor (locms(el[1]-1), minh, maxh, 0);
		    glVertex3dv (pts[1]);

		    SetOpenGlColor (locms(el[2]-1), minh, maxh, 0);
		    glVertex3dv (pts[2]);

		    n = Cross (pts[3]-pts[1], pts[2]-pts[1]);
		    glNormal3dv (n);

		    SetOpenGlColor (locms(el[3]-1), minh, maxh, 0);
		    glVertex3dv (pts[3]);

		    n = Cross (pts[3]-pts[2], pts[0]-pts[2]);
		    glNormal3dv (n);

		    SetOpenGlColor (locms(el[0]-1), minh, maxh, 0);
		    glVertex3dv (pts[0]);

		    n = Cross (pts[1]-pts[3], pts[0]-pts[3]);
		    glNormal3dv (n);

		    SetOpenGlColor (locms(el[1]-1), minh, maxh, 0);
		    glVertex3dv (pts[1]);
		    glEnd();
		  }
		else // Do not color mesh based on mesh size
		  {
		    GLubyte ind[4][3] = { { 0,1,2 }, { 3,1,0 },
					  { 1,3,2 }, { 2,3,0 } };
		    
		    glEnableClientState(GL_VERTEX_ARRAY);
		    glVertexPointer(3, GL_DOUBLE, 0, &pts[0](0));

		    for (int j = 0; j < 4; j++)
		      { 
			glNormal3dv (Cross (pts[ind[j][1]]-pts[ind[j][0]],
					    pts[ind[j][2]]-pts[ind[j][0]]));

			glDrawElements(GL_TRIANGLES, 3, GL_UNSIGNED_BYTE, &ind[j][0]);
		      }
		    glDisableClientState(GL_VERTEX_ARRAY);

		    /*
		    glBegin (GL_TRIANGLE_STRIP);
		    glNormal3dv (Cross (pts[1]-pts[0], pts[2]-pts[0]));

		    glVertex3dv (pts[0]);
		    glVertex3dv (pts[1]);
		    glVertex3dv (pts[2]);

		    glNormal3dv (Cross (pts[3]-pts[1], pts[2]-pts[1]));
		    glVertex3dv (pts[3]);

		    glNormal3dv (Cross (pts[3]-pts[2], pts[0]-pts[2]));
		    glVertex3dv (pts[0]);

		    glNormal3dv (Cross (pts[1]-pts[3], pts[0]-pts[3]));
		    glVertex3dv (pts[1]);
		    glEnd();
		    */
		  }

	      }
	  }
      }

    glEndList ();
  }




  void VisualSceneMesh :: BuildPrismList(const BitArray & shownode)
  {
    shared_ptr<Mesh> mesh = GetMesh();
    
    if (prismtimestamp > mesh->GetTimeStamp () &&
	prismtimestamp > vispar.clipping.timestamp )
      return;

    if (!lock)
      {
	lock = new NgLock (mesh->Mutex());
	lock -> Lock();
      }

    prismtimestamp = NextTimeStamp();



    if (prismlist)
      glDeleteLists (prismlist, 1);

    prismlist = glGenLists (1);
    glNewList (prismlist, GL_COMPILE);

    static float prismcol[] = { 0.0f, 1.0f, 1.0f, 1.0f };
    glLineWidth (1.0f);

    NgArray<Element2d> faces;


    glDisable (GL_COLOR_MATERIAL);
    glMaterialfv(GL_FRONT, GL_AMBIENT_AND_DIFFUSE, prismcol);

    for (ElementIndex ei = 0; ei < mesh->GetNE(); ei++)
      {
	const Element & el = (*mesh)[ei];
	if (el.GetType() == PRISM && !el.IsDeleted())
	  {
            bool visible = true;
            for (auto pi: el.PNums())
              if (!shownode[pi])
                visible = false;
            if(!visible) continue;

            int j;
            int i = ei + 1;

            CurvedElements & curv = mesh->GetCurvedElements();
            if (curv.IsHighOrder()) //  && curv.IsElementCurved(ei))
	      {
		const ELEMENT_FACE * faces = MeshTopology :: GetFaces1 (PRISM);
		const Point3d * vertices = MeshTopology :: GetVertices (PRISM);

		Point<3> grid[11][11];
		Point<3> fpts[4];
		int order = subdivisions+1;

		for (int trig = 0; trig < 2; trig++)
		  {
		    for (int j = 0; j < 3; j++)
		      fpts[j] = vertices[faces[trig][j]-1];

		    static Point<3> c(1.0/3.0, 1.0/3.0, 0.5);
		    if (vispar.shrink < 1)
		      for (int j = 0; j < 3; j++)
                        fpts[j] += (1-vispar.shrink) * (c-fpts[j]);

		    for (int ix = 0; ix <= order; ix++)
		      for (int iy = 0; iy <= order; iy++)
			{
			  double lami[3] =
			    { (1-double(ix)/order) * (1-double(iy)/order),
			      (  double(ix)/order) * (1-double(iy)/order),
			      double(iy)/order };

			  Point<3> xl;
			  for (int l = 0; l < 3; l++)
			    xl(l) = lami[0] * fpts[0](l) + lami[1] * fpts[1](l) +
			      lami[2] * fpts[2](l);

			  curv.CalcElementTransformation (xl, i-1, grid[ix][iy]);
			}

		    for (int j = 0; j <= order; j++)
		      ToBernstein (order, &grid[j][0], &grid[0][1]-&grid[0][0]);
		    for (int j = 0; j <= order; j++)
		      ToBernstein (order, &grid[0][j], &grid[1][0]-&grid[0][0]);

		    glMap2d(GL_MAP2_VERTEX_3,
			    0.0, 1.0, &grid[0][1](0)-&grid[0][0](0), order+1,
			    0.0, 1.0, &grid[1][0](0)-&grid[0][0](0), order+1,
			    &grid[0][0](0));
		    glEnable(GL_MAP2_VERTEX_3);
		    glEnable(GL_AUTO_NORMAL);

		    glMapGrid2f(8, 0.0, 0.999f, 8, 0.0, 1.0);
		    glEvalMesh2(GL_FILL, 0, 8, 0, 8);

		    glDisable (GL_AUTO_NORMAL);
		    glDisable (GL_MAP2_VERTEX_3);
		  }

		for (int quad = 2; quad < 5; quad++)
		  {
		    for (int j = 0; j < 4; j++)
		      fpts[j] = vertices[faces[quad][j]-1];

		    static Point<3> c(1.0/3.0, 1.0/3.0, 0.5);
		    if (vispar.shrink < 1)
		      for (int j = 0; j < 4; j++)
                        fpts[j] += (1-vispar.shrink) * (c-fpts[j]);

		    for (int ix = 0; ix <= order; ix++)
		      for (int iy = 0; iy <= order; iy++)
			{
			  double lami[4] =
			    { (1-double(ix)/order) * (1-double(iy)/order),
			      (  double(ix)/order) * (1-double(iy)/order),
			      (  double(ix)/order) * (  double(iy)/order),
			      (1-double(ix)/order) * (  double(iy)/order) };

			  Point<3> xl;
			  for (int l = 0; l < 3; l++)
			    xl(l) =
			      lami[0] * fpts[0](l) + lami[1] * fpts[1](l) +
			      lami[2] * fpts[2](l) + lami[3] * fpts[3](l);

			  curv.CalcElementTransformation (xl, ei, grid[ix][iy]);
			}

		    for (int j = 0; j <= order; j++)
		      ToBernstein (order, &grid[j][0], &grid[0][1]-&grid[0][0]);
		    for (int j = 0; j <= order; j++)
		      ToBernstein (order, &grid[0][j], &grid[1][0]-&grid[0][0]);

		    glMap2d(GL_MAP2_VERTEX_3,
			    0.0, 1.0, &grid[0][1](0)-&grid[0][0](0), order+1,
			    0.0, 1.0, &grid[1][0](0)-&grid[0][0](0), order+1,
			    &grid[0][0](0));
		    glEnable(GL_MAP2_VERTEX_3);
		    glEnable(GL_AUTO_NORMAL);

		    glMapGrid2f(8, 0.0, 1.0, 8, 0.0, 1.0);
		    glEvalMesh2(GL_FILL, 0, 8, 0, 8);

		    glDisable (GL_AUTO_NORMAL);
		    glDisable (GL_MAP2_VERTEX_3);
		  }





		/*
		  int hoplotn = 1 << subdivisions;
		  // int hoplotn = curv.GetNVisualSubsecs();

		  const Point3d * facepoint = MeshTopology :: GetVertices (TRIG);
		  const ELEMENT_FACE * elface = MeshTopology :: GetFaces(TRIG);

		  glBegin (GL_TRIANGLES);

		  for (int trig = 0; trig<2; trig++)
		  {

		  Vec<3> x0,x1,d0,d1;
		  x0 = facepoint[1] - facepoint[2];
		  x1 = facepoint[0] - facepoint[2];
		  x0.Normalize();
		  x1.Normalize();
		  if (trig == 1) swap (x0,x1);

		  Point<3> xr[3];
		  Point<3> xg;
		  Vec<3> dx, dy, dz, n;

		  for (int i1 = 0; i1 < hoplotn; i1++)
		  for (int j1 = 0; j1 < hoplotn-i1; j1++)
		  for (int k = 0; k < 2; k++)
		  {
		  if (k == 0)
		  {
		  xr[0](0) = (double)    i1/hoplotn; xr[0](1) = (double)    j1/hoplotn;
		  xr[1](0) = (double)(i1+1)/hoplotn; xr[1](1) = (double)    j1/hoplotn;
		  xr[2](0) = (double)    i1/hoplotn; xr[2](1) = (double)(j1+1)/hoplotn;
		  } else
		  {
		  if (j1 == hoplotn-i1-1) continue;
		  xr[0](0) = (double)(i1+1)/hoplotn; xr[0](1) = (double)    j1/hoplotn;
		  xr[1](0) = (double)(i1+1)/hoplotn; xr[1](1) = (double)(j1+1)/hoplotn;
		  xr[2](0) = (double)    i1/hoplotn; xr[2](1) = (double)(j1+1)/hoplotn;
		  };

		  for (int l=0; l<3; l++)
		  {
		  Mat<3,3> dxdxi;
		  xr[l](2) = (double) trig;
		  curv.CalcElementTransformation (xr[l], i-1, xg, dxdxi);
		  for (int i = 0; i < 3; i++)
		  {
		  dx(i) = dxdxi(i,0);
		  dy(i) = dxdxi(i,1);
		  dz(i) = dxdxi(i,2);
		  }

		  Vec<3> d0 = x0(0)*dx + x0(1)*dy + x0(2)*dz;
		  Vec<3> d1 = x1(0)*dx + x1(1)*dy + x1(2)*dz;
		  n = Cross (d1, d0);
		  glNormal3d (n(0), n(1), n(2));
		  glVertex3d (xg(0), xg(1), xg(2));
		  }
		  }

		  }

		  glEnd ();

		  glBegin (GL_QUADS);

		  for (int quad = 0; quad<3; quad++)
		  {
		  const Point3d * facepoint = MeshTopology :: GetVertices (PRISM);

		  Vec<3> x0,x1;
		  int xyz;

		  switch (quad)
		  {
		  case 0:
		  x0 = facepoint[5] - facepoint[2];
		  x1 = facepoint[0] - facepoint[2];
		  xyz = 0;
		  break;
		  case 1:
		  x0 = facepoint[4] - facepoint[0];
		  x1 = facepoint[1] - facepoint[0];
		  xyz = 0;
		  break;
		  case 2:
		  x0 = facepoint[1] - facepoint[2];
		  x1 = facepoint[5] - facepoint[2];
		  xyz = 1;
		  break;
		  }

		  x0.Normalize();
		  x1.Normalize();

		  swap (x0,x1);

		  Point<3> xr[4];
		  Point<3> xg;
		  Vec<3> dx, dy, dz, n;

		  for (int i1 = 0; i1 < hoplotn; i1++)
		  for (int j1 = 0; j1 < hoplotn; j1++)
		  {
		  xr[0](xyz) = (double)    i1/hoplotn; xr[0](2) = (double)    j1/hoplotn;
		  xr[1](xyz) = (double)(i1+1)/hoplotn; xr[1](2) = (double)    j1/hoplotn;
		  xr[2](xyz) = (double)(i1+1)/hoplotn; xr[2](2) = (double)(j1+1)/hoplotn;
		  xr[3](xyz) = (double)    i1/hoplotn; xr[3](2) = (double)(j1+1)/hoplotn;

		  for (int l=0; l<4; l++)
		  {
		  switch (quad)
		  {
		  case 0: xr[l](1) = 0; break;
		  case 1: xr[l](1) = 1-xr[l](0); break;
		  case 2: xr[l](0) = 0; break;
		  }

		  Mat<3,3> dxdxi;
		  curv.CalcElementTransformation (xr[l], i-1, xg, dxdxi);
		  for (int i = 0; i < 3; i++)
		  {
		  dx(i) = dxdxi(i,0);
		  dy(i) = dxdxi(i,1);
		  dz(i) = dxdxi(i,2);
		  }

		  Vec<3> d0 = x0(0)*dx + x0(1)*dy + x0(2)*dz;
		  Vec<3> d1 = x1(0)*dx + x1(1)*dy + x1(2)*dz;
		  n = Cross (d1, d0);
		  glNormal3d (n(0), n(1), n(2));
		  glVertex3d (xg(0), xg(1), xg(2));
		  }
		  }
		  }
		  glEnd ();
		*/
	      }
            else
	      {
		Point3d c(0,0,0);
		if (vispar.shrink < 1)
		  {
		    for (j = 1; j <= 6; j++)
		      {
			Point3d p = mesh->Point(el.PNum(j));
			c.X() += p.X() / 6;
			c.Y() += p.Y() / 6;
			c.Z() += p.Z() / 6;
		      }
		  }

		el.GetSurfaceTriangles (faces);
		glBegin (GL_TRIANGLES);
		for (j = 1; j <= faces.Size(); j++)
		  {
		    Element2d & face = faces.Elem(j);
		    Point3d lp1 = mesh->Point (el.PNum(face.PNum(1)));
		    Point3d lp2 = mesh->Point (el.PNum(face.PNum(2)));
		    Point3d lp3 = mesh->Point (el.PNum(face.PNum(3)));
		    Vec3d n = Cross (Vec3d (lp1, lp3), Vec3d (lp1, lp2));
		    n /= (n.Length()+1e-12);
		    glNormal3d (n.X(), n.Y(), n.Z());
		    if (vispar.shrink < 1)
		      {
			lp1 = c + vispar.shrink * (lp1 - c);
			lp2 = c + vispar.shrink * (lp2 - c);
			lp3 = c + vispar.shrink * (lp3 - c);
		      }
		    glVertex3d (lp1.X(), lp1.Y(), lp1.Z());
		    glVertex3d (lp2.X(), lp2.Y(), lp2.Z());
		    glVertex3d (lp3.X(), lp3.Y(), lp3.Z());
		  }

		glEnd();
	      }
	  }
      }
    glEndList ();
  }




  void VisualSceneMesh :: BuildHexList(const BitArray & shownode)
  {
    shared_ptr<Mesh> mesh = GetMesh();
    
    if (hextimestamp > mesh->GetTimeStamp () &&
	hextimestamp > vispar.clipping.timestamp )
      return;

    if (!lock)
      {
	lock = new NgLock (mesh->Mutex());
	lock -> Lock();
      }

    hextimestamp = NextTimeStamp();

    if (hexlist) glDeleteLists (hexlist, 1);

    hexlist = glGenLists (1);
    glNewList (hexlist, GL_COMPILE);


    static float hexcol[] = { 1.0f, 1.0f, 0.0f, 1.0f };
    glLineWidth (1.0f);
    glDisable (GL_COLOR_MATERIAL);
    glMaterialfv(GL_FRONT, GL_AMBIENT_AND_DIFFUSE, hexcol);

    NgArray<Element2d> faces;
    // int hoplotn = 1 << vispar.subdivisions;

    for (ElementIndex ei = 0; ei < mesh->GetNE(); ei++)
      {
	const Element & el = (*mesh)[ei];
	if (el.GetType() == HEX && !el.IsDeleted())
	  {
            bool visible = true;
            for (auto pi: el.PNums())
              if (!shownode[pi])
                visible = false;
            if(!visible) continue;
            CurvedElements & curv = mesh->GetCurvedElements();
            if (curv.IsHighOrder()) //  && curv.IsElementCurved(ei))
	      {
		/* // classical
		   glBegin (GL_QUADS);

		   const ELEMENT_FACE * faces = MeshTopology :: GetFaces (HEX);
		   const Point3d * vertices = MeshTopology :: GetVertices (HEX);

		   Point<3> grid[33][33];
		   Vec<3> gridn[33][33];
		   Point<3> fpts[4];
		   for (int quad = 0; quad<6; quad++)
		   {
		   for (int j = 0; j < 4; j++)
		   fpts[j] = vertices[faces[quad][j]-1];

		   static Point<3> c(0.5, 0.5, 0.5);
		   if (vispar.shrink < 1)
		   for (int j = 0; j < 4; j++)
		   fpts[j] += (1-vispar.shrink) * (c-fpts[j]);

		   Vec<3> taux = fpts[1]-fpts[0];
		   Vec<3> tauy = fpts[3]-fpts[0];

		   for (int ix = 0; ix <= hoplotn; ix++)
		   for (int iy = 0; iy <= hoplotn; iy++)
		   {
		   Point<3> xl;
		   Mat<3,3> dxdxi;
		   double lami[4] =
		   { (1-double(ix)/hoplotn) * (1-double(iy)/hoplotn),
		   (  double(ix)/hoplotn) * (1-double(iy)/hoplotn),
		   (  double(ix)/hoplotn) * (  double(iy)/hoplotn),
		   (1-double(ix)/hoplotn) * (  double(iy)/hoplotn) };
		   for (int l = 0; l < 3; l++)
		   xl(l) = lami[0] * fpts[0](l) + lami[1] * fpts[1](l) +
		   lami[2] * fpts[2](l) + lami[3] * fpts[3](l);

		   curv.CalcElementTransformation (xl, ei, grid[ix][iy], dxdxi);

		   Vec<3> gtaux = dxdxi * taux;
		   Vec<3> gtauy = dxdxi * tauy;
		   gridn[ix][iy] = Cross (gtauy, gtaux).Normalize();
		   }

		   for (int ix = 0; ix < hoplotn; ix++)
		   for (int iy = 0; iy < hoplotn; iy++)
		   {
		   glNormal3dv (gridn[ix][iy]);
		   glVertex3dv (grid[ix][iy]);

		   glNormal3dv (gridn[ix+1][iy]);
		   glVertex3dv (grid[ix+1][iy]);

		   glNormal3dv (gridn[ix+1][iy+1]);
		   glVertex3dv (grid[ix+1][iy+1]);

		   glNormal3dv (gridn[ix][iy+1]);
		   glVertex3dv (grid[ix][iy+1]);
		   }
		   }

		   glEnd ();
		*/

		const ELEMENT_FACE * faces = MeshTopology :: GetFaces1 (HEX);
		const Point3d * vertices = MeshTopology :: GetVertices (HEX);

		Point<3> grid[11][11];
		Point<3> fpts[4];
		int order = subdivisions+1;

		for (int quad = 0; quad<6; quad++)
		  {
		    for (int j = 0; j < 4; j++)
		      fpts[j] = vertices[faces[quad][j]-1];

		    static Point<3> c(0.5, 0.5, 0.5);
		    if (vispar.shrink < 1)
		      for (int j = 0; j < 4; j++)
                        fpts[j] += (1-vispar.shrink) * (c-fpts[j]);

		    for (int ix = 0; ix <= order; ix++)
		      for (int iy = 0; iy <= order; iy++)
			{
			  double lami[4] =
			    { (1-double(ix)/order) * (1-double(iy)/order),
			      (  double(ix)/order) * (1-double(iy)/order),
			      (  double(ix)/order) * (  double(iy)/order),
			      (1-double(ix)/order) * (  double(iy)/order) };

			  Point<3> xl;
			  for (int l = 0; l < 3; l++)
			    xl(l) = lami[0] * fpts[0](l) + lami[1] * fpts[1](l) +
			      lami[2] * fpts[2](l) + lami[3] * fpts[3](l);

			  curv.CalcElementTransformation (xl, ei, grid[ix][iy]);
			}

		    for (int j = 0; j <= order; j++)
		      ToBernstein (order, &grid[j][0], &grid[0][1]-&grid[0][0]);
		    for (int j = 0; j <= order; j++)
		      ToBernstein (order, &grid[0][j], &grid[1][0]-&grid[0][0]);

		    glMap2d(GL_MAP2_VERTEX_3,
			    0.0, 1.0, &grid[0][1](0)-&grid[0][0](0), order+1,
			    0.0, 1.0, &grid[1][0](0)-&grid[0][0](0), order+1,
			    &grid[0][0](0));
		    glEnable(GL_MAP2_VERTEX_3);
		    glEnable(GL_AUTO_NORMAL);

		    glMapGrid2f(8, 0.0, 1.0, 8, 0.0, 1.0);
		    glEvalMesh2(GL_FILL, 0, 8, 0, 8);

		    glDisable (GL_AUTO_NORMAL);
		    glDisable (GL_MAP2_VERTEX_3);
		  }
	      }
            else
	      {
		Point3d c(0,0,0);
		if (vispar.shrink < 1)
		  {
		    for (int j = 1; j <= 8; j++)
		      {
			Point3d p = mesh->Point(el.PNum(j));
			c.X() += p.X();
			c.Y() += p.Y();
			c.Z() += p.Z();
		      }
		    c.X() /= 8;
		    c.Y() /= 8;
		    c.Z() /= 8;
		  }

		glBegin (GL_TRIANGLES);

		el.GetSurfaceTriangles (faces);
		for (int j = 1; j <= faces.Size(); j++)
		  {
		    Element2d & face = faces.Elem(j);
		    Point<3> lp1 = mesh->Point (el.PNum(face.PNum(1)));
		    Point<3> lp2 = mesh->Point (el.PNum(face.PNum(2)));
		    Point<3> lp3 = mesh->Point (el.PNum(face.PNum(3)));
		    Vec<3> n = Cross (lp3-lp1, lp2-lp1);
		    n.Normalize();
		    glNormal3dv (n);

		    if (vispar.shrink < 1)
		      {
			lp1 = c + vispar.shrink * (lp1 - c);
			lp2 = c + vispar.shrink * (lp2 - c);
			lp3 = c + vispar.shrink * (lp3 - c);
		      }

		    glVertex3dv (lp1);
		    glVertex3dv (lp2);
		    glVertex3dv (lp3);
		  }

		glEnd();
	      }
	  }
      }

    static float hex7col[] = { 1.0f, 0.65f, 0.0f, 1.0f };
    glMaterialfv(GL_FRONT, GL_AMBIENT_AND_DIFFUSE, hex7col);

    for (ElementIndex ei = 0; ei < mesh->GetNE(); ei++)
      {
	const Element & el = (*mesh)[ei];
	if (el.GetType() == HEX7 && !el.IsDeleted())
	  {
            /*
            CurvedElements & curv = mesh->GetCurvedElements();
            if (curv.IsHighOrder()) 
	      {
		const ELEMENT_FACE * faces = MeshTopology :: GetFaces1 (HEX);
		const Point3d * vertices = MeshTopology :: GetVertices (HEX);

		Point<3> grid[11][11];
		Point<3> fpts[4];
		int order = subdivisions+1;

		for (int quad = 0; quad<6; quad++)
		  {
		    for (int j = 0; j < 4; j++)
		      fpts[j] = vertices[faces[quad][j]-1];

		    static Point<3> c(0.5, 0.5, 0.5);
		    if (vispar.shrink < 1)
		      for (int j = 0; j < 4; j++)
                        fpts[j] += (1-vispar.shrink) * (c-fpts[j]);

		    for (int ix = 0; ix <= order; ix++)
		      for (int iy = 0; iy <= order; iy++)
			{
			  double lami[4] =
			    { (1-double(ix)/order) * (1-double(iy)/order),
			      (  double(ix)/order) * (1-double(iy)/order),
			      (  double(ix)/order) * (  double(iy)/order),
			      (1-double(ix)/order) * (  double(iy)/order) };

			  Point<3> xl;
			  for (int l = 0; l < 3; l++)
			    xl(l) = lami[0] * fpts[0](l) + lami[1] * fpts[1](l) +
			      lami[2] * fpts[2](l) + lami[3] * fpts[3](l);

			  curv.CalcElementTransformation (xl, ei, grid[ix][iy]);
			}

		    for (int j = 0; j <= order; j++)
		      ToBernstein (order, &grid[j][0], &grid[0][1]-&grid[0][0]);
		    for (int j = 0; j <= order; j++)
		      ToBernstein (order, &grid[0][j], &grid[1][0]-&grid[0][0]);

		    glMap2d(GL_MAP2_VERTEX_3,
			    0.0, 1.0, &grid[0][1](0)-&grid[0][0](0), order+1,
			    0.0, 1.0, &grid[1][0](0)-&grid[0][0](0), order+1,
			    &grid[0][0](0));
		    glEnable(GL_MAP2_VERTEX_3);
		    glEnable(GL_AUTO_NORMAL);

		    glMapGrid2f(8, 0.0, 1.0, 8, 0.0, 1.0);
		    glEvalMesh2(GL_FILL, 0, 8, 0, 8);

		    glDisable (GL_AUTO_NORMAL);
		    glDisable (GL_MAP2_VERTEX_3);
		  }
	      }
            else
            */
	      {
		Point3d c(0,0,0);
		if (vispar.shrink < 1)
		  {
		    for (int j = 1; j <= 7; j++)
		      {
			Point3d p = mesh->Point(el.PNum(j));
			c.X() += p.X();
			c.Y() += p.Y();
			c.Z() += p.Z();
		      }
		    c.X() /= 7;
		    c.Y() /= 7;
		    c.Z() /= 7;
		  }

		glBegin (GL_TRIANGLES);

		el.GetSurfaceTriangles (faces);
		for (int j = 1; j <= faces.Size(); j++)
		  {
		    Element2d & face = faces.Elem(j);
		    Point<3> lp1 = mesh->Point (el.PNum(face.PNum(1)));
		    Point<3> lp2 = mesh->Point (el.PNum(face.PNum(2)));
		    Point<3> lp3 = mesh->Point (el.PNum(face.PNum(3)));
		    Vec<3> n = Cross (lp3-lp1, lp2-lp1);
		    n.Normalize();
		    glNormal3dv (n);

		    if (vispar.shrink < 1)
		      {
			lp1 = c + vispar.shrink * (lp1 - c);
			lp2 = c + vispar.shrink * (lp2 - c);
			lp3 = c + vispar.shrink * (lp3 - c);
		      }

		    glVertex3dv (lp1);
		    glVertex3dv (lp2);
		    glVertex3dv (lp3);
		  }

		glEnd();
	      }
	  }
      }

    
    glEndList ();
  }









  void VisualSceneMesh :: BuildPyramidList(const BitArray & shownode)
  {
    shared_ptr<Mesh> mesh = GetMesh();
    
    if (pyramidtimestamp > mesh->GetTimeStamp () &&
	pyramidtimestamp > vispar.clipping.timestamp )
      return;

    if (!lock)
      {
	lock = new NgLock (mesh->Mutex());
	lock -> Lock();
      }

    pyramidtimestamp = NextTimeStamp();


    if (pyramidlist)
      glDeleteLists (pyramidlist, 1);


    pyramidlist = glGenLists (1);
    glNewList (pyramidlist, GL_COMPILE);

    static float pyramidcol[] = { 1.0f, 0.0f, 1.0f, 1.0f };
    glDisable (GL_COLOR_MATERIAL);
    glMaterialfv(GL_FRONT, GL_AMBIENT_AND_DIFFUSE, pyramidcol);

    glLineWidth (1.0f);
    NgArray<Element2d> faces;

    for (ElementIndex ei = 0; ei < mesh->GetNE(); ei++)
      {
	const Element & el = (*mesh)[ei];
	if ((el.GetType() == PYRAMID || el.GetType() == PYRAMID13) && !el.IsDeleted())
	  {
            bool visible = true;
            for (auto pi: el.PNums())
              if (!shownode[pi])
                visible = false;
            if(!visible) continue;

            int i = ei + 1;

            CurvedElements & curv = mesh->GetCurvedElements();
            if (curv.IsHighOrder()) //  && curv.IsElementCurved(ei))
	      {

		const ELEMENT_FACE * faces = MeshTopology :: GetFaces1 (PYRAMID);
		const Point3d * vertices = MeshTopology :: GetVertices (PYRAMID);

		Point<3> grid[11][11];
		Point<3> fpts[4];
		int order = subdivisions+1;

		for (int trig = 0; trig < 4; trig++)
		  {
		    for (int j = 0; j < 3; j++)
		      fpts[j] = vertices[faces[trig][j]-1];

		    static Point<3> c(0.375, 0.375, 0.25);
		    if (vispar.shrink < 1)
		      for (int j = 0; j < 3; j++)
                        fpts[j] += (1-vispar.shrink) * (c-fpts[j]);

		    for (int ix = 0; ix <= order; ix++)
		      for (int iy = 0; iy <= order; iy++)
			{
			  double lami[3] =
			    { (1-double(ix)/order) * (1-double(iy)/order),
			      (  double(ix)/order) * (1-double(iy)/order),
			      double(iy)/order };

			  Point<3> xl;
			  for (int l = 0; l < 3; l++)
			    xl(l) = lami[0] * fpts[0](l) + lami[1] * fpts[1](l) +
			      lami[2] * fpts[2](l);

			  curv.CalcElementTransformation (xl, i-1, grid[ix][iy]);
			}

		    for (int j = 0; j <= order; j++)
		      ToBernstein (order, &grid[j][0], &grid[0][1]-&grid[0][0]);
		    for (int j = 0; j <= order; j++)
		      ToBernstein (order, &grid[0][j], &grid[1][0]-&grid[0][0]);

		    glMap2d(GL_MAP2_VERTEX_3,
			    0.0, 1.0, &grid[0][1](0)-&grid[0][0](0), order+1,
			    0.0, 1.0, &grid[1][0](0)-&grid[0][0](0), order+1,
			    &grid[0][0](0));
		    glEnable(GL_MAP2_VERTEX_3);
		    glEnable(GL_AUTO_NORMAL);

		    glMapGrid2f(8, 0.0, 0.999f, 8, 0.0, 1.0);
		    glEvalMesh2(GL_FILL, 0, 8, 0, 8);

		    glDisable (GL_AUTO_NORMAL);
		    glDisable (GL_MAP2_VERTEX_3);
		  }

		for (int quad = 4; quad < 5; quad++)
		  {
		    for (int j = 0; j < 4; j++)
		      fpts[j] = vertices[faces[quad][j]-1];

		    static Point<3> c(0.375, 0.375, 0.25);
		    if (vispar.shrink < 1)
		      for (int j = 0; j < 4; j++)
                        fpts[j] += (1-vispar.shrink) * (c-fpts[j]);

		    for (int ix = 0; ix <= order; ix++)
		      for (int iy = 0; iy <= order; iy++)
			{
			  double lami[4] =
			    { (1-double(ix)/order) * (1-double(iy)/order),
			      (  double(ix)/order) * (1-double(iy)/order),
			      (  double(ix)/order) * (  double(iy)/order),
			      (1-double(ix)/order) * (  double(iy)/order) };

			  Point<3> xl;
			  for (int l = 0; l < 3; l++)
			    xl(l) =
			      lami[0] * fpts[0](l) + lami[1] * fpts[1](l) +
			      lami[2] * fpts[2](l) + lami[3] * fpts[3](l);

			  curv.CalcElementTransformation (xl, ei, grid[ix][iy]);
			}

		    for (int j = 0; j <= order; j++)
		      ToBernstein (order, &grid[j][0], &grid[0][1]-&grid[0][0]);
		    for (int j = 0; j <= order; j++)
		      ToBernstein (order, &grid[0][j], &grid[1][0]-&grid[0][0]);

		    glMap2d(GL_MAP2_VERTEX_3,
			    0.0, 1.0, &grid[0][1](0)-&grid[0][0](0), order+1,
			    0.0, 1.0, &grid[1][0](0)-&grid[0][0](0), order+1,
			    &grid[0][0](0));
		    glEnable(GL_MAP2_VERTEX_3);
		    glEnable(GL_AUTO_NORMAL);

		    glMapGrid2f(8, 0.0, 1.0, 8, 0.0, 1.0);
		    glEvalMesh2(GL_FILL, 0, 8, 0, 8);

		    glDisable (GL_AUTO_NORMAL);
		    glDisable (GL_MAP2_VERTEX_3);
		  }






		/*
		  int hoplotn = 1 << vispar.subdivisions;

		  const ELEMENT_FACE * faces = MeshTopology :: GetFaces (PYRAMID);
		  const Point3d * vertices = MeshTopology :: GetVertices (PYRAMID);

		  Point<3> grid[33][33];
		  Vec<3> gridn[33][33];


		  glBegin (GL_TRIANGLES);

		  for (int trig = 0; trig < 4; trig++)
		  {
		  Point<3> p0 = vertices[faces[trig][0]-1];
		  Point<3> p1 = vertices[faces[trig][1]-1];
		  Point<3> p2 = vertices[faces[trig][2]-1];

		  if (vispar.shrink < 1)
		  {
		  static Point<3> c(0.375, 0.375, 0.25);
		  p0 = c + vispar.shrink * (p0 - c);
		  p1 = c + vispar.shrink * (p1 - c);
		  p2 = c + vispar.shrink * (p2 - c);
		  }


		  Vec<3> taux = p0-p2;
		  Vec<3> tauy = p1-p2;
		  Vec<3> gtaux, gtauy;

		  Point<3> xl;
		  Mat<3,3> dxdxi;

		  for (int ix = 0; ix <= hoplotn; ix++)
		  for (int iy = 0; iy <= hoplotn-ix; iy++)
		  {
		  for (int l = 0; l < 3; l++)
		  xl(l) =
		  (1-double(ix+iy)/hoplotn) * p2(l) +
		  (double(ix)/hoplotn) * p0(l) +
		  (double(iy)/hoplotn) * p1(l);

		  curv.CalcElementTransformation (xl, i-1, grid[ix][iy], dxdxi);

		  gtaux = dxdxi * taux;
		  gtauy = dxdxi * tauy;
		  gridn[ix][iy] = Cross (gtauy, gtaux).Normalize();
		  }

		  for (int ix = 0; ix < hoplotn; ix++)
		  for (int iy = 0; iy < hoplotn-ix; iy++)
		  {
		  glNormal3dv (gridn[ix][iy]);
		  glVertex3dv (grid[ix][iy]);

		  glNormal3dv (gridn[ix+1][iy]);
		  glVertex3dv (grid[ix+1][iy]);

		  glNormal3dv (gridn[ix][iy+1]);
		  glVertex3dv (grid[ix][iy+1]);

		  if (iy < hoplotn-ix-1)
		  {
		  glNormal3dv (gridn[ix][iy+1]);
		  glVertex3dv (grid[ix][iy+1]);

		  glNormal3dv (gridn[ix+1][iy]);
		  glVertex3dv (grid[ix+1][iy]);

		  glNormal3dv (gridn[ix+1][iy+1]);
		  glVertex3dv (grid[ix+1][iy+1]);
		  }
		  }
		  }

		  glEnd ();




		  glBegin (GL_QUADS);

		  for (int quad = 4; quad < 5; quad++)
		  {
		  Point<3> p0 = vertices[faces[quad][0]-1];
		  Point<3> p1 = vertices[faces[quad][1]-1];
		  Point<3> p2 = vertices[faces[quad][2]-1];
		  Point<3> p3 = vertices[faces[quad][3]-1];

		  if (vispar.shrink < 1)
		  {
		  static Point<3> c(0.375, 0.375, 0.25);
		  p0 = c + vispar.shrink * (p0 - c);
		  p1 = c + vispar.shrink * (p1 - c);
		  p2 = c + vispar.shrink * (p2 - c);
		  p3 = c + vispar.shrink * (p3 - c);
		  }

		  Vec<3> taux = p1-p0;
		  Vec<3> tauy = p3-p0;
		  Vec<3> gtaux, gtauy;

		  Point<3> xl, xg;
		  Mat<3,3> dxdxi;

		  for (int ix = 0; ix <= hoplotn; ix++)
		  for (int iy = 0; iy <= hoplotn; iy++)
		  {
		  Point<3> xl;
		  for (int l = 0; l < 3; l++)
		  xl(l) =
		  (1-double(ix)/hoplotn)*(1-double(iy)/hoplotn) * p0(l) +
		  (  double(ix)/hoplotn)*(1-double(iy)/hoplotn) * p1(l) +
		  (  double(ix)/hoplotn)*(  double(iy)/hoplotn) * p2(l) +
		  (1-double(ix)/hoplotn)*(  double(iy)/hoplotn) * p3(l);

		  curv.CalcElementTransformation (xl, i-1, grid[ix][iy], dxdxi);

		  gtaux = dxdxi * taux;
		  gtauy = dxdxi * tauy;
		  gridn[ix][iy] = Cross (gtauy, gtaux).Normalize();
		  }

		  for (int ix = 0; ix < hoplotn; ix++)
		  for (int iy = 0; iy < hoplotn; iy++)
		  {
		  glNormal3dv (gridn[ix][iy]);
		  glVertex3dv (grid[ix][iy]);

		  glNormal3dv (gridn[ix+1][iy]);
		  glVertex3dv (grid[ix+1][iy]);

		  glNormal3dv (gridn[ix+1][iy+1]);
		  glVertex3dv (grid[ix+1][iy+1]);

		  glNormal3dv (gridn[ix][iy+1]);
		  glVertex3dv (grid[ix][iy+1]);
		  }
		  }

		  glEnd ();
		*/


	      }
            else
	      {



		Point3d c(0,0,0);
		if (vispar.shrink < 1)
		  {
		    for (int j = 1; j <= 5; j++)
		      {
			Point3d p = mesh->Point(el.PNum(j));
			c.X() += p.X() / 5;
			c.Y() += p.Y() / 5;
			c.Z() += p.Z() / 5;
		      }
		  }


		el.GetSurfaceTriangles (faces);

		if (el.PNum(1))
		  {
		    glBegin (GL_TRIANGLES);

		    for (int j = 1; j <= faces.Size(); j++)
		      {
			Element2d & face = faces.Elem(j);
			Point3d lp1 = mesh->Point (el.PNum(face.PNum(1)));
			Point3d lp2 = mesh->Point (el.PNum(face.PNum(2)));
			Point3d lp3 = mesh->Point (el.PNum(face.PNum(3)));
			Vec3d n = Cross (Vec3d (lp1, lp2), Vec3d (lp1, lp3));
			n /= (n.Length()+1e-12);
			n *= -1;
			glNormal3d (n.X(), n.Y(), n.Z());

			if (vispar.shrink < 1)
			  {
			    lp1 = c + vispar.shrink * (lp1 - c);
			    lp2 = c + vispar.shrink * (lp2 - c);
			    lp3 = c + vispar.shrink * (lp3 - c);
			  }

			glVertex3d (lp1.X(), lp1.Y(), lp1.Z());
			glVertex3d (lp2.X(), lp2.Y(), lp2.Z());
			glVertex3d (lp3.X(), lp3.Y(), lp3.Z());
		      }

		    glEnd();
		  }
	      }
	  }
      }
    glEndList ();
  }

  void VisualSceneMesh :: BuildBadelList()
  {
    ;
  }

  void VisualSceneMesh :: BuildIdentifiedList()
  {
    ;
  }

  void VisualSceneMesh :: BuildDomainSurfList()
  {
    shared_ptr<Mesh> mesh = GetMesh();
    
    if (domainsurflist)
      glDeleteLists (domainsurflist, 1);

    domainsurflist = glGenLists (1);
    glNewList (domainsurflist, GL_COMPILE);

    int i, j;
    glLineWidth (1.0f);

    glDisable (GL_COLOR_MATERIAL);

    for (i = 1; i <= mesh->GetNSE(); i++)
      {
	Element2d el = mesh->SurfaceElement (i);

	int drawel = 1;
	for (j = 1; j <= el.GetNP(); j++)
	  {
            if (!el.PNum(j))
	      drawel = 0;
	  }

	if (!drawel)
	  continue;

	if (el.GetIndex() < 1 || el.GetIndex() > mesh->GetNFD())
	  continue;
	int domin = mesh->GetFaceDescriptor(el.GetIndex()).DomainIn();
	int domout = mesh->GetFaceDescriptor(el.GetIndex()).DomainOut();

	int fac;
	if (domin == vispar.drawdomainsurf)
	  fac = 1;
	else if (domout == vispar.drawdomainsurf)
	  fac = -1;
	else
	  continue;


	GLfloat matcol[] = { 1, 0, 0, 1 };
	glMaterialfv(GL_FRONT, GL_AMBIENT_AND_DIFFUSE, matcol);


	if (el.GetNP() == 3)
	  {
            glBegin (GL_TRIANGLES);

            const Point3d & lp1 = mesh->Point (el.PNum(1));
            const Point3d & lp2 = mesh->Point (el.PNum(2));
            const Point3d & lp3 = mesh->Point (el.PNum(3));
            Vec3d n = Cross (Vec3d (lp1, lp2), Vec3d (lp1, lp3));
            n /= ( fac * (n.Length()+1e-12));
            glNormal3d (n.X(), n.Y(), n.Z());

            if (!vispar.colormeshsize)
	      {
		glVertex3d (lp1.X(), lp1.Y(), lp1.Z());
		glVertex3d (lp2.X(), lp2.Y(), lp2.Z());
		glVertex3d (lp3.X(), lp3.Y(), lp3.Z());
	      }
            glEnd();
	  }
	else if (el.GetNP() == 4)
	  {
            glBegin (GL_QUADS);

            const Point3d & lp1 = mesh->Point (el.PNum(1));
            const Point3d & lp2 = mesh->Point (el.PNum(2));
            const Point3d & lp3 = mesh->Point (el.PNum(4));
            const Point3d & lp4 = mesh->Point (el.PNum(3));
            Vec3d n = Cross (Vec3d (lp1, lp2),
			     Vec3d (lp1, Center (lp3, lp4)));
            n /= (fac * (n.Length()+1e-12));
            glNormal3d (n.X(), n.Y(), n.Z());
            glVertex3d (lp1.X(), lp1.Y(), lp1.Z());
            glVertex3d (lp2.X(), lp2.Y(), lp2.Z());
            glVertex3d (lp4.X(), lp4.Y(), lp4.Z());
            glVertex3d (lp3.X(), lp3.Y(), lp3.Z());
            glEnd();
	  }
	else if (el.GetNP() == 6)
	  {
            glBegin (GL_TRIANGLES);
            static int trigs[4][3] = {
	      { 1, 6, 5 },
	      { 2, 4, 6 },
	      { 3, 5, 4 },
	      { 4, 5, 6 } };

	    for (j = 0; j < 4; j++)
	      {
		const Point3d & lp1 = mesh->Point (el.PNum(trigs[j][0]));
		const Point3d & lp2 = mesh->Point (el.PNum(trigs[j][1]));
		const Point3d & lp3 = mesh->Point (el.PNum(trigs[j][2]));
		Vec3d n = Cross (Vec3d (lp1, lp2), Vec3d (lp1, lp3));
		n /= (fac * (n.Length() + 1e-12));
		glNormal3d (n.X(), n.Y(), n.Z());
		glVertex3d (lp1.X(), lp1.Y(), lp1.Z());
		glVertex3d (lp2.X(), lp2.Y(), lp2.Z());
		glVertex3d (lp3.X(), lp3.Y(), lp3.Z());
	      }
	    glEnd();
	  }
      }
    glEndList ();
  }





  bool VisualSceneMesh :: SelectSurfaceElement (int px, int py, Point<3> &p, bool select_on_clipping_plane)
  {
    selelement = -1;
    marker = nullopt;
    shared_ptr<Mesh> mesh = GetMesh();
    if(px != select.x || py != select.y)
    {
      select.x = px;
      select.y = py;
      locpi = -2;
    }

    glGetIntegerv (GL_VIEWPORT, select.viewport);
    // GLenum err;
    if(select.framebuffer == 0 || select.viewport[2] != select.width || select.viewport[3] != select.height)
    {
      select.width = select.viewport[2];
      select.height = select.viewport[3];
      if(select.framebuffer != 0)
      {
        glDeleteRenderbuffers(2, select.render_buffers);
        glDeleteFramebuffers(1, &select.framebuffer);
      }

      glGenFramebuffers(1, &select.framebuffer);
      glBindFramebuffer(GL_FRAMEBUFFER, select.framebuffer);

      // create, reserve and attach color and depth renderbuffer
      glGenRenderbuffers(2, select.render_buffers);
      glBindRenderbuffer(GL_RENDERBUFFER, select.render_buffers[0]);
      glRenderbufferStorage(GL_RENDERBUFFER, GL_RGB16, select.width, select.height);
      glFramebufferRenderbuffer(GL_FRAMEBUFFER, GL_COLOR_ATTACHMENT0, GL_RENDERBUFFER, select.render_buffers[0]);

      glBindRenderbuffer(GL_RENDERBUFFER, select.render_buffers[1]);
      glRenderbufferStorage(GL_RENDERBUFFER, GL_DEPTH_COMPONENT, select.width, select.height);
      glFramebufferRenderbuffer(GL_FRAMEBUFFER, GL_DEPTH_ATTACHMENT, GL_RENDERBUFFER, select.render_buffers[1]);

      // check if framebuffer status is complete
      if(int fbstatus; (fbstatus = glCheckFramebufferStatus(GL_FRAMEBUFFER)) != GL_FRAMEBUFFER_COMPLETE)
        cerr << "no frame buffer " << fbstatus << endl;

    }
      glFlush();

      glBindFramebuffer(GL_FRAMEBUFFER, select.framebuffer);
      BuildFilledList (true);

      glEnable(GL_DEPTH_TEST);
      glClearColor(0, 0, 0, 1.0);
      glClear(GL_COLOR_BUFFER_BIT | GL_DEPTH_BUFFER_BIT);

      glMatrixMode (GL_MODELVIEW);
      glPushMatrix();
      glLoadIdentity();
      glMultMatrixd (transformationmat);

      glPolygonMode (GL_FRONT_AND_BACK, GL_FILL);
      auto hy = select.viewport[3] - py;

      SetClippingPlane();
      if (vispar.clipping.enable)
      {
        Vec<3> n(clipplane[0], clipplane[1], clipplane[2]);
        double len = Abs(n);
        double mu = -clipplane[3] / (len*len);
        Point<3> p (mu * n);
        n /= len;
        Vec<3> t1 = n.GetNormal ();
        Vec<3> t2 = Cross (n, t1);

        double xi1mid = (center - p) * t1;
        double xi2mid = (center - p) * t2;

        if(select_on_clipping_plane)
        {
          glColor3us(0,0,0);
          glBegin (GL_QUADS);
          glVertex3dv (p + (xi1mid-rad) * t1 + (xi2mid-rad) * t2);
          glVertex3dv (p + (xi1mid+rad) * t1 + (xi2mid-rad) * t2);
          glVertex3dv (p + (xi1mid+rad) * t1 + (xi2mid+rad) * t2);
          glVertex3dv (p + (xi1mid-rad) * t1 + (xi2mid+rad) * t2);
          glEnd ();
        }
      }
      glCallList (select.list);
      glFinish();

      glGetDoublev (GL_PROJECTION_MATRIX, select.projmat);
      auto found = Unproject(px, py, p);
      if(found)
      {
        marker = p;
        GLushort numbers[3];
        glReadPixels (px, hy, 1, 1, GL_RGB, GL_UNSIGNED_SHORT, numbers);
        selelement = numbers[0] + numbers[1]*(1<<16);
        locpi++;
      }
      glBindFramebuffer(GL_FRAMEBUFFER, 0);
      glPopMatrix();

    if(lock)
      {
	lock->UnLock();
	delete lock;
	lock = NULL;
      }

    return found;
  }

  bool VisualSceneMesh :: Unproject(int px, int py, Point<3> &p)
  {
    auto hy = select.viewport[3] - py;
    float pz;
    glReadPixels (px, hy, 1, 1, GL_DEPTH_COMPONENT, GL_FLOAT, &pz);
    if(pz<1 && pz>0)
      gluUnProject(px, hy, pz, transformationmat, select.projmat, select.viewport,
          &p[0], &p[1], &p[2]);
    return pz<1 && pz>0;
  }

  ngcore::IVec<2> VisualSceneMesh :: Project(Point<3> p)
  {
    Point<3> pwin;
    gluProject(p[0], p[1], p[2], transformationmat, select.projmat, select.viewport,
        &pwin[0], &pwin[1], &pwin[2]);

    return ngcore::IVec<2>(pwin[0]+0.5, select.viewport[3]-pwin[1]+0.5);
  }


  void VisualSceneMesh :: MouseDblClick (int px, int py)
  {
    Point<3> p;
    bool found_point = SelectSurfaceElement(px, py, p, false);

    if(selelement>0)
      {
        const Element2d & sel = GetMesh()->SurfaceElement(selelement);
        SetSelectedFace(sel.GetIndex());

        auto pi_nearest = sel[0];
        double min_dist = 1e99;
        for(auto pi : sel.PNums())
          if(Dist2(GetMesh()->Point(pi), p) < min_dist)
          {
            min_dist = Dist2(GetMesh()->Point(pi), p);
            pi_nearest = pi;
          }
        auto p_win = Project(GetMesh()->Point(pi_nearest));
        if(abs(p_win[0]-px) < 5 && abs(p_win[1]-py) < 5)
        {
          marker = GetMesh()->Point(pi_nearest);
          selpoint = pi_nearest;
          cout << "select point " << pi_nearest << " at " << *marker << endl;
          locpi = -2;
        }
        else
        {
          if(locpi < 0)
          {
            cout << endl << "select element " << selelement
              << " on face " << sel.GetIndex();
            // output face name
            auto mesh = GetMesh();
            string name;
            if(mesh->GetDimension() == 3)
              name = mesh->GetFaceDescriptor(sel.GetIndex()).GetBCName();
            else
              name = mesh->GetMaterial(sel.GetIndex());

            if(name != "")
              cout << " with name " << name;
            cout << endl;
            if(mesh->GetDimension() == 3) {
              auto & fd = mesh->GetFaceDescriptor(sel.GetIndex());
              auto domin = fd.DomainIn();
              auto domout = fd.DomainOut();
              string name_in = domin >0 ? mesh->GetMaterial(domin) : "";
              string name_out = domout >0 ? mesh->GetMaterial(domout) : "";
              cout << "\tadjacent domains " << domin << ": " << name_in << ", " << domout << ": " << name_out << endl;
            }
            cout << "\tpoint: " << p << endl;;
            cout << "\tnodes: ";
            for (int i = 1; i <= sel.GetNP(); i++)
              cout << sel.PNum(i) << " ";
            cout << endl;
          }
          else {
            auto pi = sel[locpi%sel.GetNP()];
            marker = GetMesh()->Points()[pi];
            cout << "select point " << pi << " at " << *marker << endl;
          }
        }
      }

    if(found_point && user_me_handler)
    {
      if (selelement != -1)
        user_me_handler -> DblClick (selelement-1, p[0], p[1], p[2]);
    }

    if(lock)
      {
	lock->UnLock();
	delete lock;
	lock = NULL;
      }
  }



  void VisualSceneMesh :: SetSelectedFace (int asf)
  {
    if(selface != asf)
    {
      selface = asf;
      BuildColorTexture();
    }
  }




}




#ifdef NG_PYTHON
#include <../general/ngpython.hpp>
#include "../include/nginterface.h"

NGGUI_API void ExportMeshVis(py::module &m)
{
  using namespace netgen;
  vispar.drawcolorbar = true;
  vispar.drawnetgenlogo = true;
  vispar.drawcoordinatecross = true;
  vispar.drawfilledtrigs = true;
  vispar.drawdomainsurf = true;
  vispar.drawhexes = true;
  vispar.drawtets = true;
  vispar.drawprisms = true;
  vispar.drawoutline = true;
  py::class_<VisualSceneMesh, shared_ptr<VisualSceneMesh>>
    (m, "VisualSceneMesh")
    .def("Draw", &VisualSceneMesh::DrawScene)
    ;

  m.def("VS", FunctionPointer
          ([](shared_ptr<Mesh> mesh)
           {
             auto vs = make_shared<VisualSceneMesh>();
             // vs->SetMesh(mesh);
             SetGlobalMesh (mesh);
             return vs;
           }));

  m.def("MouseMove", FunctionPointer
          ([](VisualSceneMesh &vsmesh, int oldx, int oldy, int newx, int 
              newy, char mode)
           {
             vsmesh.MouseMove(oldx, oldy, newx, newy, mode);
           }));
  m.def("SelectFace", FunctionPointer
      ([] (int facenr) {
       vsmesh.SetSelectedFace(facenr);
       }));
  m.def("GetGlobalMesh", FunctionPointer
      ([] () {
       return vsmesh.GetMesh();
       }));
}
// BOOST_PYTHON_MODULE(libvisual)
// {
//   ExportMeshVis();
// }
#endif