mirror of
https://github.com/NGSolve/netgen.git
synced 2024-09-23 02:02:49 +05:00
681 lines
14 KiB
C++
681 lines
14 KiB
C++
#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 <= 2; i++)
|
|
{
|
|
/*
|
|
x1[i] = ax1[i];
|
|
x2[i] = ax2[i];
|
|
*/
|
|
xmid[i] = 0.5 * (ax1[i] + ax2[i]);
|
|
}
|
|
|
|
/*
|
|
(*testout) << "new box: " << xmid[0] << "-" << xmid[1] << "-" << xmid[2]
|
|
<< " h = " << (x2[0] - x1[0]) << endl;
|
|
*/
|
|
|
|
for (int i = 0; i < 8; i++)
|
|
childs[i] = NULL;
|
|
father = NULL;
|
|
|
|
flags.cutboundary = 0;
|
|
flags.isinner = 0;
|
|
flags.oldcell = 0;
|
|
flags.pinner = 0;
|
|
|
|
// hopt = x2[0] - x1[0];
|
|
hopt = 2 * h2;
|
|
}
|
|
|
|
|
|
|
|
BlockAllocator GradingBox :: ball(sizeof (GradingBox));
|
|
|
|
void * GradingBox :: operator new(size_t)
|
|
{
|
|
return ball.Alloc();
|
|
}
|
|
|
|
void GradingBox :: operator delete (void * p)
|
|
{
|
|
ball.Free (p);
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
void GradingBox :: DeleteChilds()
|
|
{
|
|
int i;
|
|
for (i = 0; i < 8; i++)
|
|
if (childs[i])
|
|
{
|
|
childs[i]->DeleteChilds();
|
|
delete childs[i];
|
|
childs[i] = NULL;
|
|
}
|
|
}
|
|
|
|
|
|
LocalH :: LocalH (const Point3d & pmin, const Point3d & pmax, double agrading)
|
|
{
|
|
double x1[3], x2[3];
|
|
double hmax;
|
|
int i;
|
|
|
|
boundingbox = Box3d (pmin, pmax);
|
|
grading = agrading;
|
|
|
|
// a small enlargement, non-regular points
|
|
double val = 0.0879;
|
|
for (i = 1; i <= 3; i++)
|
|
{
|
|
|
|
x1[i-1] = (1 + val * i) * pmin.X(i) - val * i * pmax.X(i);
|
|
x2[i-1] = 1.1 * pmax.X(i) - 0.1 * pmin.X(i);
|
|
}
|
|
|
|
hmax = x2[0] - x1[0];
|
|
for (i = 1; i <= 2; i++)
|
|
if (x2[i] - x1[i] > hmax)
|
|
hmax = x2[i] - x1[i];
|
|
|
|
for (i = 0; i <= 2; i++)
|
|
x2[i] = x1[i] + hmax;
|
|
|
|
root = new GradingBox (x1, x2);
|
|
boxes.Append (root);
|
|
}
|
|
|
|
LocalH :: ~LocalH ()
|
|
{
|
|
root->DeleteChilds();
|
|
delete root;
|
|
}
|
|
|
|
void LocalH :: Delete ()
|
|
{
|
|
root->DeleteChilds();
|
|
}
|
|
|
|
void LocalH :: SetH (const Point3d & p, double h)
|
|
{
|
|
/*
|
|
(*testout) << "Set h at " << p << " to " << h << endl;
|
|
if (h < 1e-8)
|
|
{
|
|
cout << "do not set h to " << h << endl;
|
|
return;
|
|
}
|
|
*/
|
|
|
|
if (fabs (p.X() - root->xmid[0]) > root->h2 ||
|
|
fabs (p.Y() - root->xmid[1]) > root->h2 ||
|
|
fabs (p.Z() - root->xmid[2]) > root->h2)
|
|
return;
|
|
|
|
/*
|
|
if (p.X() < root->x1[0] || p.X() > root->x2[0] ||
|
|
p.Y() < root->x1[1] || p.Y() > root->x2[1] ||
|
|
p.Z() < root->x1[2] || p.Z() > root->x2[2])
|
|
return;
|
|
*/
|
|
|
|
|
|
if (GetH(p) <= 1.2 * h) return;
|
|
|
|
|
|
GradingBox * box = root;
|
|
GradingBox * nbox = root;
|
|
GradingBox * ngb;
|
|
int childnr;
|
|
double x1[3], x2[3];
|
|
|
|
while (nbox)
|
|
{
|
|
box = nbox;
|
|
childnr = 0;
|
|
if (p.X() > box->xmid[0]) childnr += 1;
|
|
if (p.Y() > box->xmid[1]) childnr += 2;
|
|
if (p.Z() > box->xmid[2]) childnr += 4;
|
|
nbox = box->childs[childnr];
|
|
};
|
|
|
|
|
|
while (2 * box->h2 > h)
|
|
{
|
|
childnr = 0;
|
|
if (p.X() > box->xmid[0]) childnr += 1;
|
|
if (p.Y() > box->xmid[1]) childnr += 2;
|
|
if (p.Z() > box->xmid[2]) childnr += 4;
|
|
|
|
double h2 = box->h2;
|
|
if (childnr & 1)
|
|
{
|
|
x1[0] = box->xmid[0];
|
|
x2[0] = x1[0]+h2; // box->x2[0];
|
|
}
|
|
else
|
|
{
|
|
x2[0] = box->xmid[0];
|
|
x1[0] = x2[0]-h2; // box->x1[0];
|
|
}
|
|
|
|
if (childnr & 2)
|
|
{
|
|
x1[1] = box->xmid[1];
|
|
x2[1] = x1[1]+h2; // box->x2[1];
|
|
}
|
|
else
|
|
{
|
|
x2[1] = box->xmid[1];
|
|
x1[1] = x2[1]-h2; // box->x1[1];
|
|
}
|
|
|
|
if (childnr & 4)
|
|
{
|
|
x1[2] = box->xmid[2];
|
|
x2[2] = x1[2]+h2; // box->x2[2];
|
|
}
|
|
else
|
|
{
|
|
x2[2] = box->xmid[2];
|
|
x1[2] = x2[2]-h2; // box->x1[2];
|
|
}
|
|
|
|
ngb = new GradingBox (x1, x2);
|
|
box->childs[childnr] = ngb;
|
|
ngb->father = box;
|
|
|
|
boxes.Append (ngb);
|
|
box = box->childs[childnr];
|
|
}
|
|
|
|
box->hopt = h;
|
|
|
|
|
|
double hbox = 2 * box->h2; // box->x2[0] - box->x1[0];
|
|
double hnp = h + grading * hbox;
|
|
|
|
Point3d np;
|
|
int i;
|
|
for (i = 1; i <= 3; i++)
|
|
{
|
|
np = p;
|
|
np.X(i) = p.X(i) + hbox;
|
|
SetH (np, hnp);
|
|
|
|
np.X(i) = p.X(i) - hbox;
|
|
SetH (np, hnp);
|
|
}
|
|
/*
|
|
Point3d np;
|
|
int i1, i2, i3;
|
|
for (i1 = -1; i1 <= 1; i1++)
|
|
for (i2 = -1; i2 <= 1; i2++)
|
|
for (i3 = -1; i3 <= 1; i3++)
|
|
{
|
|
np.X() = p.X() + hbox * i1;
|
|
np.Y() = p.Y() + hbox * i2;
|
|
np.Z() = p.Z() + hbox * i3;
|
|
|
|
SetH (np, hnp);
|
|
}
|
|
*/
|
|
}
|
|
|
|
|
|
|
|
double LocalH :: GetH (const Point3d & x) const
|
|
{
|
|
const GradingBox * box = root;
|
|
const GradingBox * nbox;
|
|
int childnr;
|
|
|
|
while (1)
|
|
{
|
|
childnr = 0;
|
|
if (x.X() > box->xmid[0]) childnr += 1;
|
|
if (x.Y() > box->xmid[1]) childnr += 2;
|
|
if (x.Z() > box->xmid[2]) childnr += 4;
|
|
nbox = box->childs[childnr];
|
|
if (nbox)
|
|
box = nbox;
|
|
else
|
|
{
|
|
// (*testout) << "diam = " << (box->x2[0] - box->x1[0])
|
|
// << " h = " << box->hopt << endl;
|
|
return box->hopt;
|
|
}
|
|
}
|
|
}
|
|
|
|
|
|
/// minimal h in box (pmin, pmax)
|
|
double LocalH :: GetMinH (const Point3d & pmin, const Point3d & pmax) const
|
|
{
|
|
Point3d pmin2, pmax2;
|
|
for (int j = 1; j <= 3; j++)
|
|
if (pmin.X(j) < pmax.X(j))
|
|
{ pmin2.X(j) = pmin.X(j); pmax2.X(j) = pmax.X(j); }
|
|
else
|
|
{ pmin2.X(j) = pmax.X(j); pmax2.X(j) = pmin.X(j); }
|
|
|
|
return GetMinHRec (pmin2, pmax2, root);
|
|
}
|
|
|
|
|
|
double LocalH :: GetMinHRec (const Point3d & pmin, const Point3d & pmax,
|
|
const GradingBox * box) const
|
|
{
|
|
double h2 = box->h2;
|
|
if (pmax.X() < box->xmid[0]-h2 || pmin.X() > box->xmid[0]+h2 ||
|
|
pmax.Y() < box->xmid[1]-h2 || pmin.Y() > box->xmid[1]+h2 ||
|
|
pmax.Z() < box->xmid[2]-h2 || pmin.Z() > box->xmid[2]+h2)
|
|
return 1e8;
|
|
/*
|
|
if (pmax.X() < box->x1[0] || pmin.X() > box->x2[0] ||
|
|
pmax.Y() < box->x1[1] || pmin.Y() > box->x2[1] ||
|
|
pmax.Z() < box->x1[2] || pmin.Z() > box->x2[2])
|
|
return 1e8;
|
|
*/
|
|
|
|
|
|
double hmin = 2 * box->h2; // box->x2[0] - box->x1[0];
|
|
int i;
|
|
|
|
for (i = 0; i <= 7; i++)
|
|
{
|
|
if (box->childs[i])
|
|
{
|
|
double hi = GetMinHRec (pmin, pmax, box->childs[i]);
|
|
if (hi < hmin)
|
|
hmin = hi;
|
|
}
|
|
}
|
|
|
|
return hmin;
|
|
}
|
|
|
|
|
|
void LocalH :: CutBoundaryRec (const Point3d & pmin, const Point3d & pmax,
|
|
GradingBox * box)
|
|
{
|
|
double h2 = box->h2;
|
|
if (pmax.X() < box->xmid[0]-h2 || pmin.X() > box->xmid[0]+h2 ||
|
|
pmax.Y() < box->xmid[1]-h2 || pmin.Y() > box->xmid[1]+h2 ||
|
|
pmax.Z() < box->xmid[2]-h2 || pmin.Z() > box->xmid[2]+h2)
|
|
return;
|
|
/*
|
|
if (pmax.X() < box->x1[0] || pmin.X() > box->x2[0] ||
|
|
pmax.Y() < box->x1[1] || pmin.Y() > box->x2[1] ||
|
|
pmax.Z() < box->x1[2] || pmin.Z() > box->x2[2])
|
|
return;
|
|
*/
|
|
|
|
box->flags.cutboundary = 1;
|
|
for (int i = 0; i < 8; i++)
|
|
if (box->childs[i])
|
|
CutBoundaryRec (pmin, pmax, box->childs[i]);
|
|
}
|
|
|
|
|
|
|
|
|
|
void LocalH :: FindInnerBoxes ( // int (*sameside)(const Point3d & p1, const Point3d & p2),
|
|
AdFront3 * adfront,
|
|
int (*testinner)(const Point3d & p1))
|
|
{
|
|
int i;
|
|
|
|
int nf = adfront->GetNF();
|
|
|
|
for (i = 0; i < boxes.Size(); i++)
|
|
boxes[i] -> flags.isinner = 0;
|
|
|
|
root->flags.isinner = 0;
|
|
|
|
Point3d rpmid(root->xmid[0], root->xmid[1], root->xmid[2]);
|
|
Vec3d rv(root->h2, root->h2, root->h2);
|
|
Point3d rx2 = rpmid + rv;
|
|
Point3d rx1 = rpmid - rv;
|
|
|
|
|
|
root->flags.pinner = !adfront->SameSide (rpmid, rx2);
|
|
|
|
if (testinner)
|
|
(*testout) << "inner = " << root->flags.pinner << " =?= "
|
|
<< testinner(Point3d(root->xmid[0], root->xmid[1], root->xmid[2])) << endl;
|
|
|
|
Array<int> faceinds(nf);
|
|
Array<Box3d> faceboxes(nf);
|
|
|
|
for (i = 1; i <= nf; i++)
|
|
{
|
|
faceinds.Elem(i) = i;
|
|
adfront->GetFaceBoundingBox(i, faceboxes.Elem(i));
|
|
}
|
|
|
|
for (i = 0; i < 8; i++)
|
|
FindInnerBoxesRec2 (root->childs[i], adfront, faceboxes, faceinds, nf);
|
|
}
|
|
|
|
|
|
void LocalH ::
|
|
FindInnerBoxesRec2 (GradingBox * box,
|
|
class AdFront3 * adfront,
|
|
Array<Box3d> & faceboxes,
|
|
Array<int> & faceinds, int nfinbox)
|
|
{
|
|
if (!box) return;
|
|
|
|
int i, j;
|
|
|
|
GradingBox * father = box -> father;
|
|
|
|
Point3d c(box->xmid[0], box->xmid[1], box->xmid[2]);
|
|
Vec3d v(box->h2, box->h2, box->h2);
|
|
Box3d boxc(c-v, c+v);
|
|
|
|
Point3d fc(father->xmid[0], father->xmid[1], father->xmid[2]);
|
|
Vec3d fv(father->h2, father->h2, father->h2);
|
|
Box3d fboxc(fc-fv, fc+fv);
|
|
|
|
Box3d boxcfc(c,fc);
|
|
|
|
|
|
static Array<int> faceused;
|
|
static Array<int> faceused2;
|
|
static Array<int> facenotused;
|
|
|
|
faceused.SetSize(0);
|
|
facenotused.SetSize(0);
|
|
faceused2.SetSize(0);
|
|
|
|
for (j = 1; j <= nfinbox; j++)
|
|
{
|
|
// adfront->GetFaceBoundingBox (faceinds.Get(j), facebox);
|
|
const Box3d & facebox = faceboxes.Get(faceinds.Get(j));
|
|
|
|
if (boxc.Intersect (facebox))
|
|
faceused.Append(faceinds.Get(j));
|
|
else
|
|
facenotused.Append(faceinds.Get(j));
|
|
|
|
if (boxcfc.Intersect (facebox))
|
|
faceused2.Append (faceinds.Get(j));
|
|
}
|
|
|
|
for (j = 1; j <= faceused.Size(); j++)
|
|
faceinds.Elem(j) = faceused.Get(j);
|
|
for (j = 1; j <= facenotused.Size(); j++)
|
|
faceinds.Elem(j+faceused.Size()) = facenotused.Get(j);
|
|
|
|
|
|
if (!father->flags.cutboundary)
|
|
{
|
|
box->flags.isinner = father->flags.isinner;
|
|
box->flags.pinner = father->flags.pinner;
|
|
}
|
|
else
|
|
{
|
|
Point3d cf(father->xmid[0], father->xmid[1], father->xmid[2]);
|
|
|
|
if (father->flags.isinner)
|
|
box->flags.pinner = 1;
|
|
else
|
|
{
|
|
if (adfront->SameSide (c, cf, &faceused2))
|
|
box->flags.pinner = father->flags.pinner;
|
|
else
|
|
box->flags.pinner = 1 - father->flags.pinner;
|
|
}
|
|
|
|
if (box->flags.cutboundary)
|
|
box->flags.isinner = 0;
|
|
else
|
|
box->flags.isinner = box->flags.pinner;
|
|
}
|
|
|
|
int nf = faceused.Size();
|
|
for (i = 0; i < 8; i++)
|
|
FindInnerBoxesRec2 (box->childs[i], adfront, faceboxes, faceinds, nf);
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
/*
|
|
void LocalH :: FindInnerBoxes ( // int (*sameside)(const Point3d & p1, const Point3d & p2),
|
|
AdFront3 * adfront,
|
|
int (*testinner)(const Point3d & p1))
|
|
{
|
|
int i;
|
|
for (i = 1; i <= boxes.Size(); i++)
|
|
boxes.Elem(i)->flags.isinner = 0;
|
|
|
|
root->flags.isinner = 0;
|
|
|
|
Point3d rpmid(root->xmid[0], root->xmid[1], root->xmid[2]);
|
|
Point3d rx2 = rpmid + Vec3d (root->h2, root->h2, root->h2);
|
|
|
|
root->flags.pinner = !adfront->SameSide (rpmid, rx2);
|
|
|
|
if (testinner)
|
|
(*testout) << "inner = " << root->flags.pinner << " =?= "
|
|
<< testinner(Point3d(root->xmid[0], root->xmid[1], root->xmid[2])) << endl;
|
|
|
|
|
|
for (i = 2; i <= boxes.Size(); i++)
|
|
{
|
|
GradingBox * box = boxes.Elem(i);
|
|
GradingBox * father = box -> father;
|
|
|
|
Point3d c(box->xmid[0], box->xmid[1], box->xmid[2]);
|
|
Vec3d v(box->h2, box->h2, box->h2);
|
|
Point3d x1 = c-v;
|
|
Point3d x2 = c+v;
|
|
|
|
|
|
if (!father->flags.cutboundary)
|
|
{
|
|
box->flags.isinner = father->flags.isinner;
|
|
box->flags.pinner = father->flags.pinner;
|
|
}
|
|
else
|
|
{
|
|
Point3d cf(father->xmid[0], father->xmid[1], father->xmid[2]);
|
|
|
|
if (father->flags.isinner)
|
|
box->flags.pinner = 1;
|
|
else
|
|
{
|
|
if (adfront->SameSide (c, cf))
|
|
box->flags.pinner = father->flags.pinner;
|
|
else
|
|
box->flags.pinner = 1 - father->flags.pinner;
|
|
}
|
|
|
|
if (box->flags.cutboundary)
|
|
box->flags.isinner = 0;
|
|
else
|
|
box->flags.isinner = box->flags.pinner;
|
|
}
|
|
}
|
|
// FindInnerBoxesRec (inner, root);
|
|
}
|
|
*/
|
|
|
|
|
|
void LocalH :: FindInnerBoxesRec ( int (*inner)(const Point3d & p),
|
|
GradingBox * box)
|
|
{
|
|
int i;
|
|
if (box->flags.cutboundary)
|
|
{
|
|
for (i = 0; i < 8; i++)
|
|
if (box->childs[i])
|
|
FindInnerBoxesRec (inner, box->childs[i]);
|
|
}
|
|
else
|
|
{
|
|
if (inner (Point3d (box->xmid[0], box->xmid[1], box->xmid[2])))
|
|
SetInnerBoxesRec (box);
|
|
}
|
|
}
|
|
|
|
|
|
void LocalH :: SetInnerBoxesRec (GradingBox * box)
|
|
{
|
|
box->flags.isinner = 1;
|
|
for (int i = 0; i < 8; i++)
|
|
if (box->childs[i])
|
|
ClearFlagsRec (box->childs[i]);
|
|
}
|
|
|
|
void LocalH :: ClearFlagsRec (GradingBox * box)
|
|
{
|
|
box->flags.cutboundary = 0;
|
|
box->flags.isinner = 0;
|
|
for (int i = 0; i < 8; i++)
|
|
if (box->childs[i])
|
|
ClearFlagsRec (box->childs[i]);
|
|
}
|
|
|
|
|
|
void LocalH :: WidenRefinement ()
|
|
{
|
|
int nb = boxes.Size();
|
|
int i;
|
|
// (*testout) << "old boxes: " << nb << endl;
|
|
for (i = 1; i <= nb; i++)
|
|
{
|
|
GradingBox * box = boxes.Get(i);
|
|
// double h = box->x2[0] - box->x1[0];
|
|
double h = box->hopt;
|
|
Point3d c(box->xmid[0], box->xmid[1], box->xmid[2]);
|
|
// (*testout) << " i = " << i
|
|
// << " c = " << c << " h = " << h << endl;
|
|
|
|
for (int i1 = -1; i1 <= 1; i1++)
|
|
for (int i2 = -1; i2 <= 1; i2++)
|
|
for (int i3 = -1; i3 <= 1; i3++)
|
|
SetH (Point3d (c.X() + i1 * h,
|
|
c.Y() + i2 * h,
|
|
c.Z() + i3 * h), 1.001 * h);
|
|
}
|
|
}
|
|
|
|
void LocalH :: GetInnerPoints (Array<Point3d> & points)
|
|
{
|
|
int i, nb = boxes.Size();
|
|
|
|
for (i = 1; i <= nb; i++)
|
|
{
|
|
GradingBox * box = boxes.Get(i);
|
|
/*
|
|
if (box->flags.pinner)
|
|
points.Append (box->randomip);
|
|
*/
|
|
// if (box->flags.pinner)
|
|
if (box->flags.isinner)
|
|
{
|
|
Point3d c(box->xmid[0], box->xmid[1], box->xmid[2]);
|
|
points.Append (c);
|
|
/*
|
|
cout << "add point " << c << "; h = " << box->hopt
|
|
<< "; max-min = " << (box->x2[0]-box->x1[0]) << endl;
|
|
*/
|
|
}
|
|
}
|
|
}
|
|
|
|
|
|
|
|
void LocalH :: GetOuterPoints (Array<Point3d> & points)
|
|
{
|
|
int i, nb = boxes.Size();
|
|
|
|
for (i = 1; i <= nb; i++)
|
|
{
|
|
GradingBox * box = boxes.Get(i);
|
|
if (!box->flags.isinner &&
|
|
!box->flags.cutboundary)
|
|
{
|
|
Point3d c(box->xmid[0], box->xmid[1], box->xmid[2]);
|
|
points.Append (c);
|
|
}
|
|
}
|
|
}
|
|
|
|
|
|
|
|
void LocalH :: Convexify ()
|
|
{
|
|
ConvexifyRec (root);
|
|
}
|
|
|
|
void LocalH :: ConvexifyRec (GradingBox * box)
|
|
{
|
|
Point3d center(box->xmid[0], box->xmid[1], box->xmid[2]);
|
|
Point3d hp;
|
|
|
|
double size = 2 * box->h2; // box->x2[0] - box->x1[0];
|
|
double dx = 0.6 * size;
|
|
|
|
double maxh = box->hopt;
|
|
int i;
|
|
|
|
|
|
|
|
for (i = 1; i <= 6; i++)
|
|
{
|
|
hp = center;
|
|
switch (i)
|
|
{
|
|
case 1: hp.X() += dx; break;
|
|
case 2: hp.X() -= dx; break;
|
|
case 3: hp.Y() += dx; break;
|
|
case 4: hp.Y() -= dx; break;
|
|
case 5: hp.Z() += dx; break;
|
|
case 6: hp.Z() -= dx; break;
|
|
}
|
|
|
|
double hh = GetH (hp);
|
|
if (hh > maxh) maxh = hh;
|
|
}
|
|
|
|
if (maxh < 0.95 * box->hopt)
|
|
SetH (center, maxh);
|
|
|
|
for (i = 0; i < 8; i++)
|
|
if (box->childs[i])
|
|
ConvexifyRec (box->childs[i]);
|
|
}
|
|
|
|
void LocalH :: PrintMemInfo (ostream & ost) const
|
|
{
|
|
ost << "LocalH: " << boxes.Size() << " boxes of " << sizeof(GradingBox)
|
|
<< " bytes = " << boxes.Size()*sizeof(GradingBox) << " bytes" << endl;
|
|
}
|
|
}
|