mirror of
https://github.com/NGSolve/netgen.git
synced 2024-09-23 02:02:49 +05:00
709 lines
15 KiB
C++
709 lines
15 KiB
C++
#include <mystdlib.h>
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#include "meshing.hpp"
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namespace netgen
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{
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GradingBox :: GradingBox (const double * ax1, const double * ax2)
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{
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h2 = 0.5 * (ax2[0] - ax1[0]);
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for (int i = 0; i < 3; i++)
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xmid[i] = 0.5 * (ax1[i] + ax2[i]);
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for (int i = 0; i < 8; i++)
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childs[i] = NULL;
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father = NULL;
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flags.cutboundary = 0;
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flags.isinner = 0;
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flags.oldcell = 0;
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flags.pinner = 0;
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hopt = 2 * h2;
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}
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BlockAllocator GradingBox :: ball(sizeof (GradingBox));
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void * GradingBox :: operator new(size_t)
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{
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return ball.Alloc();
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}
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void GradingBox :: operator delete (void * p)
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{
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ball.Free (p);
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}
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void GradingBox :: DeleteChilds()
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{
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for (int i = 0; i < 8; i++)
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if (childs[i])
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{
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childs[i]->DeleteChilds();
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delete childs[i];
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childs[i] = NULL;
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}
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}
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LocalH :: LocalH (const Point3d & pmin, const Point3d & pmax, double agrading)
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{
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double x1[3], x2[3];
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double hmax;
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boundingbox = Box3d (pmin, pmax);
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grading = agrading;
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// a small enlargement, non-regular points
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double val = 0.0879;
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for (int i = 1; i <= 3; i++)
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{
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x1[i-1] = (1 + val * i) * pmin.X(i) - val * i * pmax.X(i);
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x2[i-1] = 1.1 * pmax.X(i) - 0.1 * pmin.X(i);
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}
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hmax = x2[0] - x1[0];
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for (int i = 1; i <= 2; i++)
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if (x2[i] - x1[i] > hmax)
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hmax = x2[i] - x1[i];
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for (int i = 0; i <= 2; i++)
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x2[i] = x1[i] + hmax;
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root = new GradingBox (x1, x2);
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boxes.Append (root);
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}
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LocalH :: LocalH (const Box<3> & box, double agrading)
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{
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Point3d pmin = box.PMin();
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Point3d pmax = box.PMax();
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double x1[3], x2[3];
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double hmax;
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boundingbox = Box3d (pmin, pmax);
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grading = agrading;
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// a small enlargement, non-regular points
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double val = 0.0879;
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for (int i = 1; i <= 3; i++)
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{
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x1[i-1] = (1 + val * i) * pmin.X(i) - val * i * pmax.X(i);
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x2[i-1] = 1.1 * pmax.X(i) - 0.1 * pmin.X(i);
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}
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hmax = x2[0] - x1[0];
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for (int i = 1; i <= 2; i++)
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if (x2[i] - x1[i] > hmax)
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hmax = x2[i] - x1[i];
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for (int i = 0; i <= 2; i++)
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x2[i] = x1[i] + hmax;
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root = new GradingBox (x1, x2);
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boxes.Append (root);
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}
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LocalH :: ~LocalH ()
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{
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root->DeleteChilds();
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delete root;
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}
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void LocalH :: Delete ()
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{
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root->DeleteChilds();
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}
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void LocalH :: SetH (const Point3d & p, double h)
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{
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/*
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(*testout) << "Set h at " << p << " to " << h << endl;
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if (h < 1e-8)
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{
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cout << "do not set h to " << h << endl;
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return;
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}
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*/
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if (fabs (p.X() - root->xmid[0]) > root->h2 ||
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fabs (p.Y() - root->xmid[1]) > root->h2 ||
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fabs (p.Z() - root->xmid[2]) > root->h2)
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return;
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/*
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if (p.X() < root->x1[0] || p.X() > root->x2[0] ||
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p.Y() < root->x1[1] || p.Y() > root->x2[1] ||
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p.Z() < root->x1[2] || p.Z() > root->x2[2])
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return;
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*/
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if (GetH(p) <= 1.2 * h) return;
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GradingBox * box = root;
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GradingBox * nbox = root;
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GradingBox * ngb;
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int childnr;
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double x1[3], x2[3];
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while (nbox)
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{
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box = nbox;
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childnr = 0;
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if (p.X() > box->xmid[0]) childnr += 1;
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if (p.Y() > box->xmid[1]) childnr += 2;
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if (p.Z() > box->xmid[2]) childnr += 4;
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nbox = box->childs[childnr];
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};
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while (2 * box->h2 > h)
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{
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childnr = 0;
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if (p.X() > box->xmid[0]) childnr += 1;
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if (p.Y() > box->xmid[1]) childnr += 2;
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if (p.Z() > box->xmid[2]) childnr += 4;
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double h2 = box->h2;
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if (childnr & 1)
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{
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x1[0] = box->xmid[0];
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x2[0] = x1[0]+h2; // box->x2[0];
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}
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else
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{
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x2[0] = box->xmid[0];
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x1[0] = x2[0]-h2; // box->x1[0];
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}
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if (childnr & 2)
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{
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x1[1] = box->xmid[1];
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x2[1] = x1[1]+h2; // box->x2[1];
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}
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else
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{
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x2[1] = box->xmid[1];
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x1[1] = x2[1]-h2; // box->x1[1];
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}
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if (childnr & 4)
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{
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x1[2] = box->xmid[2];
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x2[2] = x1[2]+h2; // box->x2[2];
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}
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else
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{
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x2[2] = box->xmid[2];
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x1[2] = x2[2]-h2; // box->x1[2];
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}
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ngb = new GradingBox (x1, x2);
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box->childs[childnr] = ngb;
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ngb->father = box;
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boxes.Append (ngb);
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box = box->childs[childnr];
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}
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box->hopt = h;
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double hbox = 2 * box->h2; // box->x2[0] - box->x1[0];
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double hnp = h + grading * hbox;
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Point3d np;
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for (int i = 1; i <= 3; i++)
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{
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np = p;
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np.X(i) = p.X(i) + hbox;
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SetH (np, hnp);
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np.X(i) = p.X(i) - hbox;
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SetH (np, hnp);
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}
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}
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double LocalH :: GetH (const Point3d & x) const
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{
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const GradingBox * box = root;
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while (1)
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{
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int childnr = 0;
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if (x.X() > box->xmid[0]) childnr += 1;
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if (x.Y() > box->xmid[1]) childnr += 2;
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if (x.Z() > box->xmid[2]) childnr += 4;
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if (box->childs[childnr])
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box = box->childs[childnr];
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else
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return box->hopt;
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}
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}
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/// minimal h in box (pmin, pmax)
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double LocalH :: GetMinH (const Point3d & pmin, const Point3d & pmax) const
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{
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Point3d pmin2, pmax2;
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for (int j = 1; j <= 3; j++)
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if (pmin.X(j) < pmax.X(j))
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{ pmin2.X(j) = pmin.X(j); pmax2.X(j) = pmax.X(j); }
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else
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{ pmin2.X(j) = pmax.X(j); pmax2.X(j) = pmin.X(j); }
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return GetMinHRec (pmin2, pmax2, root);
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}
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double LocalH :: GetMinHRec (const Point3d & pmin, const Point3d & pmax,
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const GradingBox * box) const
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{
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double h2 = box->h2;
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if (pmax.X() < box->xmid[0]-h2 || pmin.X() > box->xmid[0]+h2 ||
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pmax.Y() < box->xmid[1]-h2 || pmin.Y() > box->xmid[1]+h2 ||
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pmax.Z() < box->xmid[2]-h2 || pmin.Z() > box->xmid[2]+h2)
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return 1e8;
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double hmin = 2 * box->h2; // box->x2[0] - box->x1[0];
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for (int i = 0; i < 8; i++)
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if (box->childs[i])
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hmin = min2 (hmin, GetMinHRec (pmin, pmax, box->childs[i]));
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return hmin;
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}
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void LocalH :: CutBoundaryRec (const Point3d & pmin, const Point3d & pmax,
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GradingBox * box)
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{
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double h2 = box->h2;
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if (pmax.X() < box->xmid[0]-h2 || pmin.X() > box->xmid[0]+h2 ||
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pmax.Y() < box->xmid[1]-h2 || pmin.Y() > box->xmid[1]+h2 ||
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pmax.Z() < box->xmid[2]-h2 || pmin.Z() > box->xmid[2]+h2)
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return;
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box->flags.cutboundary = 1;
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for (int i = 0; i < 8; i++)
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if (box->childs[i])
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CutBoundaryRec (pmin, pmax, box->childs[i]);
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}
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void LocalH :: FindInnerBoxes (AdFront3 * adfront,
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int (*testinner)(const Point3d & p1))
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{
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int nf = adfront->GetNF();
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for (int i = 0; i < boxes.Size(); i++)
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boxes[i] -> flags.isinner = 0;
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root->flags.isinner = 0;
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Point3d rpmid(root->xmid[0], root->xmid[1], root->xmid[2]);
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Vec3d rv(root->h2, root->h2, root->h2);
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Point3d rx2 = rpmid + rv;
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Point3d rx1 = rpmid - rv;
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root->flags.pinner = !adfront->SameSide (rpmid, rx2);
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if (testinner)
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(*testout) << "inner = " << root->flags.pinner << " =?= "
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<< testinner(Point3d(root->xmid[0], root->xmid[1], root->xmid[2])) << endl;
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Array<int> faceinds(nf);
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Array<Box3d> faceboxes(nf);
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for (int i = 1; i <= nf; i++)
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{
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faceinds.Elem(i) = i;
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adfront->GetFaceBoundingBox(i, faceboxes.Elem(i));
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}
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for (int i = 0; i < 8; i++)
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FindInnerBoxesRec2 (root->childs[i], adfront, faceboxes, faceinds, nf);
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}
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void LocalH ::
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FindInnerBoxesRec2 (GradingBox * box,
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class AdFront3 * adfront,
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Array<Box3d> & faceboxes,
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Array<int> & faceinds, int nfinbox)
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{
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if (!box) return;
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GradingBox * father = box -> father;
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Point3d c(box->xmid[0], box->xmid[1], box->xmid[2]);
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Vec3d v(box->h2, box->h2, box->h2);
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Box3d boxc(c-v, c+v);
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Point3d fc(father->xmid[0], father->xmid[1], father->xmid[2]);
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Vec3d fv(father->h2, father->h2, father->h2);
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Box3d fboxc(fc-fv, fc+fv);
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Box3d boxcfc(c,fc);
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ArrayMem<int, 100> faceused;
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ArrayMem<int, 100> faceused2;
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ArrayMem<int, 100> facenotused;
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/*
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faceused.SetSize(0);
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facenotused.SetSize(0);
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faceused2.SetSize(0);
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*/
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for (int j = 1; j <= nfinbox; j++)
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{
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// adfront->GetFaceBoundingBox (faceinds.Get(j), facebox);
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const Box3d & facebox = faceboxes.Get(faceinds.Get(j));
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if (boxc.Intersect (facebox))
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faceused.Append(faceinds.Get(j));
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else
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facenotused.Append(faceinds.Get(j));
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if (boxcfc.Intersect (facebox))
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faceused2.Append (faceinds.Get(j));
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}
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for (int j = 1; j <= faceused.Size(); j++)
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faceinds.Elem(j) = faceused.Get(j);
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for (int j = 1; j <= facenotused.Size(); j++)
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faceinds.Elem(j+faceused.Size()) = facenotused.Get(j);
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if (!father->flags.cutboundary)
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{
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box->flags.isinner = father->flags.isinner;
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box->flags.pinner = father->flags.pinner;
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}
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else
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{
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Point3d cf(father->xmid[0], father->xmid[1], father->xmid[2]);
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if (father->flags.isinner)
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box->flags.pinner = 1;
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else
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{
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if (adfront->SameSide (c, cf, &faceused2))
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box->flags.pinner = father->flags.pinner;
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else
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box->flags.pinner = 1 - father->flags.pinner;
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}
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if (box->flags.cutboundary)
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box->flags.isinner = 0;
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else
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box->flags.isinner = box->flags.pinner;
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}
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// cout << "faceused: " << faceused.Size() << ", " << faceused2.Size() << ", " << facenotused.Size() << endl;
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int nf = faceused.Size();
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for (int i = 0; i < 8; i++)
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FindInnerBoxesRec2 (box->childs[i], adfront, faceboxes, faceinds, nf);
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}
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void LocalH :: FindInnerBoxesRec ( int (*inner)(const Point3d & p),
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GradingBox * box)
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{
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if (box->flags.cutboundary)
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{
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for (int i = 0; i < 8; i++)
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if (box->childs[i])
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FindInnerBoxesRec (inner, box->childs[i]);
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}
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else
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{
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if (inner (box->PMid()))
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SetInnerBoxesRec (box);
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}
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}
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void LocalH :: FindInnerBoxes (AdFront2 * adfront,
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int (*testinner)(const Point<2> & p1))
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{
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int nf = adfront->GetNFL();
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for (int i = 0; i < boxes.Size(); i++)
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boxes[i] -> flags.isinner = 0;
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root->flags.isinner = 0;
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Point<2> rpmid(root->xmid[0], root->xmid[1], root->xmid[2]);
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Vec<2> rv(root->h2, root->h2);
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Point<2> rx2 = rpmid + rv;
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Point<2> rx1 = rpmid - rv;
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root->flags.pinner = !adfront->SameSide (rpmid, rx2);
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if (testinner)
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(*testout) << "inner = " << root->flags.pinner << " =?= "
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<< testinner(rpmid) << endl;
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Array<int> faceinds(nf);
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Array<Box<3> > faceboxes(nf);
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for (int i = 0; i < nf; i++)
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{
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faceinds[i] = i;
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// adfront->GetFaceBoundingBox(i, faceboxes.Elem(i));
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const FrontLine & line = adfront->GetLine(i);
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faceboxes[i].Set (adfront->GetPoint (line.L().I1()));
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faceboxes[i].Add (adfront->GetPoint (line.L().I2()));
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}
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for (int i = 0; i < 8; i++)
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FindInnerBoxesRec2 (root->childs[i], adfront, faceboxes, faceinds, nf);
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}
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void LocalH ::
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FindInnerBoxesRec2 (GradingBox * box,
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class AdFront2 * adfront,
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Array<Box<3> > & faceboxes,
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Array<int> & faceinds, int nfinbox)
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{
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if (!box) return;
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GradingBox * father = box -> father;
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Point3d c(box->xmid[0], box->xmid[1], box->xmid[2]);
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Vec3d v(box->h2, box->h2, box->h2);
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Box3d boxc(c-v, c+v);
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Point3d fc(father->xmid[0], father->xmid[1], father->xmid[2]);
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Vec3d fv(father->h2, father->h2, father->h2);
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Box3d fboxc(fc-fv, fc+fv);
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Box3d boxcfc(c,fc);
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ArrayMem<int, 100> faceused;
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ArrayMem<int, 100> faceused2;
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ArrayMem<int, 100> facenotused;
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for (int j = 1; j <= nfinbox; j++)
|
|
{
|
|
// adfront->GetFaceBoundingBox (faceinds.Get(j), facebox);
|
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const Box3d & facebox = faceboxes.Get(faceinds.Get(j));
|
|
|
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if (boxc.Intersect (facebox))
|
|
faceused.Append(faceinds.Get(j));
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else
|
|
facenotused.Append(faceinds.Get(j));
|
|
|
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if (boxcfc.Intersect (facebox))
|
|
faceused2.Append (faceinds.Get(j));
|
|
}
|
|
|
|
for (int j = 1; j <= faceused.Size(); j++)
|
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faceinds.Elem(j) = faceused.Get(j);
|
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for (int j = 1; j <= facenotused.Size(); j++)
|
|
faceinds.Elem(j+faceused.Size()) = facenotused.Get(j);
|
|
|
|
|
|
if (!father->flags.cutboundary)
|
|
{
|
|
box->flags.isinner = father->flags.isinner;
|
|
box->flags.pinner = father->flags.pinner;
|
|
}
|
|
else
|
|
{
|
|
Point3d cf(father->xmid[0], father->xmid[1], father->xmid[2]);
|
|
|
|
if (father->flags.isinner)
|
|
box->flags.pinner = 1;
|
|
else
|
|
{
|
|
Point<2> c2d (c.X(), c.Y());
|
|
Point<2> cf2d (cf.X(), cf.Y());
|
|
if (adfront->SameSide (c2d, cf2d, &faceused2))
|
|
box->flags.pinner = father->flags.pinner;
|
|
else
|
|
box->flags.pinner = 1 - father->flags.pinner;
|
|
}
|
|
|
|
if (box->flags.cutboundary)
|
|
box->flags.isinner = 0;
|
|
else
|
|
box->flags.isinner = box->flags.pinner;
|
|
}
|
|
|
|
// cout << "faceused: " << faceused.Size() << ", " << faceused2.Size() << ", " << facenotused.Size() << endl;
|
|
|
|
int nf = faceused.Size();
|
|
for (int i = 0; i < 8; i++)
|
|
FindInnerBoxesRec2 (box->childs[i], adfront, faceboxes, faceinds, nf);
|
|
}
|
|
|
|
|
|
|
|
void LocalH :: FindInnerBoxesRec ( int (*inner)(const Point<2> & p),
|
|
GradingBox * box)
|
|
{
|
|
if (box->flags.cutboundary)
|
|
{
|
|
for (int i = 0; i < 8; i++)
|
|
if (box->childs[i])
|
|
FindInnerBoxesRec (inner, box->childs[i]);
|
|
}
|
|
else
|
|
{
|
|
Point<2> p2d(box->PMid()(0), box->PMid()(1));
|
|
if (inner (p2d))
|
|
SetInnerBoxesRec (box);
|
|
}
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
void LocalH :: SetInnerBoxesRec (GradingBox * box)
|
|
{
|
|
box->flags.isinner = 1;
|
|
for (int i = 0; i < 8; i++)
|
|
if (box->childs[i])
|
|
ClearFlagsRec (box->childs[i]);
|
|
}
|
|
|
|
void LocalH :: ClearFlagsRec (GradingBox * box)
|
|
{
|
|
box->flags.cutboundary = 0;
|
|
box->flags.isinner = 0;
|
|
for (int i = 0; i < 8; i++)
|
|
if (box->childs[i])
|
|
ClearFlagsRec (box->childs[i]);
|
|
}
|
|
|
|
|
|
void LocalH :: WidenRefinement ()
|
|
{
|
|
for (int i = 0; i < boxes.Size(); i++)
|
|
{
|
|
double h = boxes[i]->hopt;
|
|
Point3d c = boxes[i]->PMid();
|
|
|
|
for (int i1 = -1; i1 <= 1; i1++)
|
|
for (int i2 = -1; i2 <= 1; i2++)
|
|
for (int i3 = -1; i3 <= 1; i3++)
|
|
SetH (Point3d (c.X() + i1 * h,
|
|
c.Y() + i2 * h,
|
|
c.Z() + i3 * h), 1.001 * h);
|
|
}
|
|
}
|
|
|
|
void LocalH :: GetInnerPoints (Array<Point<3> > & points)
|
|
{
|
|
for (int i = 0; i < boxes.Size(); i++)
|
|
if (boxes[i] -> flags.isinner)
|
|
points.Append ( boxes[i] -> PMid() );
|
|
}
|
|
|
|
|
|
void LocalH :: GetOuterPoints (Array<Point<3> > & points)
|
|
{
|
|
for (int i = 0; i < boxes.Size(); i++)
|
|
if (!boxes[i]->flags.isinner && !boxes[i]->flags.cutboundary)
|
|
points.Append ( boxes[i] -> PMid());
|
|
}
|
|
|
|
|
|
void LocalH :: Convexify ()
|
|
{
|
|
ConvexifyRec (root);
|
|
}
|
|
|
|
void LocalH :: ConvexifyRec (GradingBox * box)
|
|
{
|
|
Point<3> center = box -> PMid();
|
|
|
|
double size = 2 * box->h2; // box->x2[0] - box->x1[0];
|
|
double dx = 0.6 * size;
|
|
|
|
double maxh = box->hopt;
|
|
|
|
for (int i = 0; i < 3; i++)
|
|
{
|
|
Point<3> hp = center;
|
|
hp(i) += dx;
|
|
maxh = max2 (maxh, GetH(hp));
|
|
hp(i) = center(i)-dx;
|
|
maxh = max2 (maxh, GetH(hp));
|
|
}
|
|
|
|
if (maxh < 0.95 * box->hopt)
|
|
SetH (center, maxh);
|
|
|
|
for (int i = 0; i < 8; i++)
|
|
if (box->childs[i])
|
|
ConvexifyRec (box->childs[i]);
|
|
}
|
|
|
|
void LocalH :: PrintMemInfo (ostream & ost) const
|
|
{
|
|
ost << "LocalH: " << boxes.Size() << " boxes of " << sizeof(GradingBox)
|
|
<< " bytes = " << boxes.Size()*sizeof(GradingBox) << " bytes" << endl;
|
|
}
|
|
}
|