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https://github.com/NGSolve/netgen.git
synced 2024-11-11 16:49:16 +05:00
722 lines
16 KiB
C++
722 lines
16 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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static double CalcElementBadness (const Array<Point2d> & points,
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const Element2d & elem)
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{
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// badness = sqrt(3) /36 * circumference^2 / area - 1 +
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// h / li + li / h - 2
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Vec2d v12, v13, v23;
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double l12, l13, l23, cir, area;
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static const double c = sqrt(3.0) / 36;
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v12 = points.Get(elem.PNum(2)) - points.Get(elem.PNum(1));
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v13 = points.Get(elem.PNum(3)) - points.Get(elem.PNum(1));
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v23 = points.Get(elem.PNum(3)) - points.Get(elem.PNum(2));
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l12 = v12.Length();
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l13 = v13.Length();
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l23 = v23.Length();
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cir = l12 + l13 + l23;
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area = 0.5 * (v12.X() * v13.Y() - v12.Y() * v13.X());
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if (area < 1e-6)
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{
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return 1e8;
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}
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if (testmode)
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{
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(*testout) << "l = " << l12 << " + " << l13 << " + " << l23 << " = "
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<< cir << ", area = " << area << endl;
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(*testout) << "shapeerr = " << 10 * (c * cir * cir / area - 1) << endl
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<< "sizeerr = " << 1/l12 + l12 + 1/l13 + l13 + 1/l23 + l23 - 6
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<< endl;
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}
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return 10 * (c * cir * cir / area - 1)
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+ 1/l12 + l12 + 1/l13 + l13 + 1/l23 + l23 - 6;
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}
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int Meshing2 ::ApplyRules (Array<Point2d> & lpoints,
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Array<int> & legalpoints,
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int maxlegalpoint,
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Array<INDEX_2> & llines1,
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int maxlegalline,
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Array<Element2d> & elements,
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Array<INDEX> & dellines, int tolerance,
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const MeshingParameters & mp)
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{
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static int timer = NgProfiler::CreateTimer ("meshing2::ApplyRules");
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NgProfiler::RegionTimer reg (timer);
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double maxerr = 0.5 + 0.3 * tolerance;
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double minelerr = 2 + 0.5 * tolerance * tolerance;
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int noldlp = lpoints.Size();
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int noldll = llines1.Size();
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ArrayMem<int,100> pused(maxlegalpoint), lused(maxlegalline);
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ArrayMem<int,100> pnearness(noldlp), lnearness(llines1.Size());
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ArrayMem<int, 20> pmap, pfixed, lmap;
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ArrayMem<Point2d,100> tempnewpoints;
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ArrayMem<INDEX_2,100> tempnewlines;
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ArrayMem<int,100> tempdellines;
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ArrayMem<Element2d,100> tempelements;
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elements.SetSize (0);
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dellines.SetSize (0);
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testmode = debugparam.debugoutput;
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#ifdef LOCDEBUG
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int loctestmode = testmode;
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if (loctestmode)
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{
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(*testout) << endl << endl << "Check new environment" << endl;
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(*testout) << "tolerance = " << tolerance << endl;
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for (int i = 1; i <= lpoints.Size(); i++)
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(*testout) << "P" << i << " = " << lpoints.Get(i) << endl;
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(*testout) << endl;
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for (int i = 1; i <= llines1.Size(); i++)
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(*testout) << "(" << llines1.Get(i).I1() << "-" << llines1.Get(i).I2() << ")" << endl;
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}
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#endif
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// check every rule
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int found = 0; // rule number
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pnearness = 1000;
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for (int j = 0; j < 2; j++)
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pnearness.Set(llines1[0][j], 0);
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enum { MAX_NEARNESS = 3 };
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for (int cnt = 0; cnt < MAX_NEARNESS; cnt++)
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{
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bool ok = true;
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for (int i = 0; i < maxlegalline; i++)
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{
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const INDEX_2 & hline = llines1[i];
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int minn = min2 (pnearness.Get(hline[0]), pnearness.Get(hline[1]));
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for (int j = 0; j < 2; j++)
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if (pnearness.Get(hline[j]) > minn+1)
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{
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ok = false;
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pnearness.Set(hline[j], minn+1);
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}
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}
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if (!ok) break;
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}
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for (int i = 0; i < maxlegalline; i++)
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lnearness[i] = pnearness.Get(llines1[i][0]) + pnearness.Get(llines1[i][1]);
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// resort lines after lnearness
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Array<INDEX_2> llines(llines1.Size());
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Array<int> sortlines(llines1.Size());
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int lnearness_class[MAX_NEARNESS];
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for (int j = 0; j < MAX_NEARNESS; j++)
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lnearness_class[j] = 0;
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for (int i = 0; i < maxlegalline; i++)
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if (lnearness[i] < MAX_NEARNESS)
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lnearness_class[lnearness[i]]++;
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int cumm = 0;
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for (int j = 0; j < MAX_NEARNESS; j++)
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{
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int hcnt = lnearness_class[j];
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lnearness_class[j] = cumm;
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cumm += hcnt;
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}
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for (int i = 0; i < maxlegalline; i++)
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if (lnearness[i] < MAX_NEARNESS)
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{
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llines[lnearness_class[lnearness[i]]] = llines1[i];
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sortlines[lnearness_class[lnearness[i]]] = i+1;
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lnearness_class[lnearness[i]]++;
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}
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else
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{
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llines[cumm] = llines1[i];
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sortlines[cumm] = i+1;
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cumm++;
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}
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for (int i = maxlegalline; i < llines1.Size(); i++)
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{
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llines[cumm] = llines1[i];
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sortlines[cumm] = i+1;
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cumm++;
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}
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for (int i = 0; i < maxlegalline; i++)
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lnearness[i] = pnearness.Get(llines[i][0]) + pnearness.Get(llines[i][1]);
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static bool firsttime = true;
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// static int timers[100];
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// static int timers2[100];
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// static int timers3[100];
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if (firsttime)
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{
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/*
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for (int ri = 0; ri < rules.Size(); ri++)
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timers[ri] = NgProfiler::CreateTimer (string("netrule ")+rules[ri]->Name());
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for (int ri = 0; ri < rules.Size(); ri++)
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timers2[ri] = NgProfiler::CreateTimer (string("netrule,mapped ")+rules[ri]->Name());
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for (int ri = 0; ri < rules.Size(); ri++)
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timers3[ri] = NgProfiler::CreateTimer (string("netrule,lines mapped ")+rules[ri]->Name());
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*/
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firsttime = false;
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}
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lused = 0;
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pused = 0;
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static int timer1 = NgProfiler::CreateTimer ("meshing2::ApplyRules 1");
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NgProfiler::RegionTimer reg1 (timer1);
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for (int ri = 1; ri <= rules.Size(); ri++)
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{
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// NgProfiler::RegionTimer reg(timers[ri-1]);
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netrule * rule = rules.Get(ri);
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#ifdef LOCDEBUG
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if (loctestmode)
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(*testout) << "Rule " << rule->Name() << endl;
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#endif
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if (rule->GetQuality() > tolerance) continue;
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pmap.SetSize (rule->GetNP());
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lmap.SetSize (rule->GetNL());
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pmap = 0;
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lmap = 0;
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lused[0] = 1;
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lmap[0] = 1;
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for (int j = 0; j < 2; j++)
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{
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pmap.Elem(rule->GetLine(1)[j]) = llines[0][j];
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pused.Elem(llines[0][j])++;
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}
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int nlok = 2;
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bool ok = false;
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while (nlok >= 2)
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{
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if (nlok <= rule->GetNOldL())
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{
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ok = 0;
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int maxline = (rule->GetLNearness(nlok) < MAX_NEARNESS) ? lnearness_class[rule->GetLNearness(nlok)] : maxlegalline;
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// int maxline = maxlegalline;
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while (!ok && lmap.Get(nlok) < maxline)
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{
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lmap.Elem(nlok)++;
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int locli = lmap.Get(nlok);
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if (lnearness.Get(locli) > rule->GetLNearness (nlok) ) continue;
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if (lused.Get(locli)) continue;
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ok = 1;
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INDEX_2 loclin = llines.Get(locli);
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Vec2d linevec = lpoints.Get(loclin.I2()) - lpoints.Get(loclin.I1());
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if (rule->CalcLineError (nlok, linevec) > maxerr)
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{
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ok = 0;
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#ifdef LOCDEBUG
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if(loctestmode)
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(*testout) << "not ok pos1" << endl;
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#endif
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continue;
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}
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for (int j = 0; j < 2; j++)
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{
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int refpi = rule->GetLine(nlok)[j];
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if (pmap.Get(refpi) != 0)
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{
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if (pmap.Get(refpi) != loclin[j])
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{
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ok = 0;
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#ifdef LOCDEBUG
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if(loctestmode)
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(*testout) << "not ok pos2" << endl;
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#endif
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break;
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}
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}
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else
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{
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if (rule->CalcPointDist (refpi, lpoints.Get(loclin[j])) > maxerr
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|| !legalpoints.Get(loclin[j])
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|| pused.Get(loclin[j]))
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{
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ok = 0;
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#ifdef LOCDEBUG
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if(loctestmode)
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{
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(*testout) << "nok pos3" << endl;
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//if(rule->CalcPointDist (refpi, lpoints.Get(loclin[j])) > maxerr)
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//(*testout) << "r1" << endl;
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//if(!legalpoints.Get(loclin[j]))
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//(*testout) << "r2 legalpoints " << legalpoints << " loclin " << loclin << " j " << j << endl;
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//if(pused.Get(loclin[j]))
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//(*testout) << "r3" << endl;
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}
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#endif
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break;
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}
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}
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}
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}
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if (ok)
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{
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int locli = lmap.Get(nlok);
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INDEX_2 loclin = llines.Get(locli);
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lused.Elem (locli) = 1;
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for (int j = 0; j < 2; j++)
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{
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pmap.Set(rule->GetLine (nlok)[j], loclin[j]);
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pused.Elem(loclin[j])++;
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}
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nlok++;
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}
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else
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{
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lmap.Elem(nlok) = 0;
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nlok--;
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lused.Elem (lmap.Get(nlok)) = 0;
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for (int j = 0; j < 2; j++)
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{
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pused.Elem(llines.Get(lmap.Get(nlok))[j]) --;
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if (! pused.Get (llines.Get (lmap.Get (nlok))[j]))
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pmap.Set (rule->GetLine (nlok)[j], 0);
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}
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}
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}
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else
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{
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// NgProfiler::RegionTimer reg(timers3[ri-1]);
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// all lines are mapped !!
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// map also all points:
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int npok = 1;
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int incnpok = 1;
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pfixed.SetSize (pmap.Size());
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for (int i = 0; i < pmap.Size(); i++)
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pfixed[i] = (pmap[i] >= 1);
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while (npok >= 1)
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{
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if (npok <= rule->GetNOldP())
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{
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if (pfixed.Get(npok))
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{
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if (incnpok)
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npok++;
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else
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npok--;
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}
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else
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{
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ok = 0;
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if (pmap.Get(npok))
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pused.Elem(pmap.Get(npok))--;
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while (!ok && pmap.Get(npok) < maxlegalpoint)
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{
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ok = 1;
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pmap.Elem(npok)++;
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if (pused.Get(pmap.Get(npok)))
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{
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ok = 0;
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}
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else
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{
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if (rule->CalcPointDist (npok, lpoints.Get(pmap.Get(npok))) > maxerr
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|| !legalpoints.Get(pmap.Get(npok)))
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ok = 0;
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}
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}
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if (ok)
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{
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pused.Elem(pmap.Get(npok))++;
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npok++;
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incnpok = 1;
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}
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else
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{
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pmap.Elem(npok) = 0;
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npok--;
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incnpok = 0;
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}
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}
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}
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else
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{
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// NgProfiler::RegionTimer reg(timers2[ri-1]);
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npok = rule->GetNOldP();
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incnpok = 0;
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if (ok)
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foundmap.Elem(ri)++;
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#ifdef LOCDEBUG
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if (loctestmode)
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(*testout) << "lines and points mapped" << endl;
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#endif
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ok = 1;
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// check orientations
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for (int i = 1; i <= rule->GetNOrientations(); i++)
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{
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if (CW (lpoints.Get(pmap.Get(rule->GetOrientation(i).i1)),
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lpoints.Get(pmap.Get(rule->GetOrientation(i).i2)),
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lpoints.Get(pmap.Get(rule->GetOrientation(i).i3))) )
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{
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ok = 0;
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#ifdef LOCDEBUG
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if (loctestmode)
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(*testout) << "Orientation " << i << " not ok" << endl;
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#endif
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break;
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}
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}
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if (!ok) continue;
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Vector oldu (2 * rule->GetNOldP());
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for (int i = 1; i <= rule->GetNOldP(); i++)
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{
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Vec2d ui(rule->GetPoint(i), lpoints.Get(pmap.Get(i)));
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oldu (2*i-2) = ui.X();
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oldu (2*i-1) = ui.Y();
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}
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rule -> SetFreeZoneTransformation (oldu, tolerance);
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if (!ok) continue;
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if (!rule->ConvexFreeZone())
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{
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ok = 0;
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#ifdef LOCDEBUG
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if (loctestmode)
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(*testout) << "freezone not convex" << endl;
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#endif
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/*
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static int cnt = 0;
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cnt++;
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if (cnt % 100 == 0)
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{
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cout << "freezone not convex, cnt = " << cnt << "; rule = " << rule->Name() << endl;
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(*testout) << "freezone not convex, cnt = " << cnt << "; rule = " << rule->Name() << endl;
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(*testout) << "tol = " << tolerance << endl;
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(*testout) << "maxerr = " << maxerr << "; minerr = " << minelerr << endl;
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(*testout) << "freezone = " << rule->GetTransFreeZone() << endl;
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}
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*/
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}
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// check freezone:
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if (!ok) continue;
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for (int i = 1; i <= maxlegalpoint && ok; i++)
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{
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if ( !pused.Get(i) &&
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rule->IsInFreeZone (lpoints.Get(i)) )
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{
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ok = 0;
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#ifdef LOCDEBUG
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if (loctestmode)
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(*testout) << "Point " << i << " in freezone" << endl;
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#endif
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break;
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}
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}
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if (!ok) continue;
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for (int i = maxlegalpoint+1; i <= lpoints.Size(); i++)
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{
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if ( rule->IsInFreeZone (lpoints.Get(i)) )
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{
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ok = 0;
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#ifdef LOCDEBUG
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if (loctestmode)
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(*testout) << "Point " << i << " in freezone" << endl;
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#endif
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break;
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}
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}
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if (!ok) continue;
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for (int i = 1; i <= maxlegalline; i++)
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{
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if (!lused.Get(i) &&
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rule->IsLineInFreeZone (lpoints.Get(llines.Get(i).I1()),
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lpoints.Get(llines.Get(i).I2())))
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{
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ok = 0;
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#ifdef LOCDEBUG
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if (loctestmode)
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(*testout) << "line " << llines.Get(i).I1() << "-"
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<< llines.Get(i).I2() << " in freezone" << endl;
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#endif
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break;
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}
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}
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if (!ok) continue;
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for (int i = maxlegalline+1; i <= llines.Size(); i++)
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{
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if (rule->IsLineInFreeZone (lpoints.Get(llines.Get(i).I1()),
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lpoints.Get(llines.Get(i).I2())))
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{
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ok = 0;
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#ifdef LOCDEBUG
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if (loctestmode)
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(*testout) << "line " << llines.Get(i).I1() << "-"
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<< llines.Get(i).I2() << " in freezone" << endl;
|
|
#endif
|
|
break;
|
|
}
|
|
}
|
|
|
|
|
|
/*
|
|
// check orientations
|
|
|
|
for (i = 1; i <= rule->GetNOrientations() && ok; i++)
|
|
{
|
|
if (CW (lpoints.Get(pmap.Get(rule->GetOrientation(i).i1)),
|
|
lpoints.Get(pmap.Get(rule->GetOrientation(i).i2)),
|
|
lpoints.Get(pmap.Get(rule->GetOrientation(i).i3))) )
|
|
{
|
|
ok = 0;
|
|
if (loctestmode)
|
|
(*testout) << "Orientation " << i << " not ok" << endl;
|
|
}
|
|
}
|
|
*/
|
|
|
|
|
|
if (!ok) continue;
|
|
|
|
#ifdef LOCDEBUG
|
|
if (loctestmode)
|
|
(*testout) << "rule ok" << endl;
|
|
#endif
|
|
|
|
// Setze neue Punkte:
|
|
if (rule->GetNOldP() < rule->GetNP())
|
|
{
|
|
Vector newu(rule->GetOldUToNewU().Height());
|
|
rule->GetOldUToNewU().Mult (oldu, newu);
|
|
|
|
int oldnp = rule->GetNOldP();
|
|
for (int i = oldnp + 1; i <= rule->GetNP(); i++)
|
|
{
|
|
Point2d np = rule->GetPoint(i);
|
|
np.X() += newu (2 * (i-oldnp) - 2);
|
|
np.Y() += newu (2 * (i-oldnp) - 1);
|
|
|
|
pmap.Elem(i) = lpoints.Append (np);
|
|
}
|
|
}
|
|
|
|
// Setze neue Linien:
|
|
|
|
for (int i = rule->GetNOldL() + 1; i <= rule->GetNL(); i++)
|
|
{
|
|
llines.Append (INDEX_2 (pmap.Get(rule->GetLine (i)[0]),
|
|
pmap.Get(rule->GetLine (i)[1])));
|
|
}
|
|
|
|
|
|
// delete old lines:
|
|
for (int i = 1; i <= rule->GetNDelL(); i++)
|
|
dellines.Append (sortlines.Elem (lmap.Get(rule->GetDelLine(i))));
|
|
// dellines.Append (lmap.Get(rule->GetDelLine(i))));
|
|
|
|
// dellines.Append (lmap.Elem(rule->GetDelLines()));
|
|
// lmap[rule->GetDelLines()];
|
|
|
|
|
|
// insert new elements:
|
|
|
|
for (int i = 1; i <= rule->GetNE(); i++)
|
|
{
|
|
elements.Append (rule->GetElement(i));
|
|
for (int j = 1; j <= elements.Get(i).GetNP(); j++)
|
|
elements.Elem(i).PNum(j) = pmap.Get(elements.Get(i).PNum(j));
|
|
}
|
|
|
|
|
|
double elerr = 0;
|
|
for (int i = 1; i <= elements.Size(); i++)
|
|
{
|
|
double hf;
|
|
if (!mp.quad)
|
|
hf = CalcElementBadness (lpoints, elements.Get(i));
|
|
else
|
|
hf = elements.Get(i).CalcJacobianBadness (lpoints) * 5;
|
|
#ifdef LOCDEBUG
|
|
if (loctestmode)
|
|
(*testout) << "r " << rule->Name() << "bad = " << hf << endl;
|
|
#endif
|
|
if (hf > elerr) elerr = hf;
|
|
}
|
|
|
|
#ifdef LOCDEBUG
|
|
if (loctestmode)
|
|
(*testout) << "error = " << elerr;
|
|
#endif
|
|
|
|
canuse.Elem(ri) ++;
|
|
|
|
if (elerr < 0.99*minelerr)
|
|
{
|
|
#ifdef LOCDEBUG
|
|
if (loctestmode)
|
|
{
|
|
(*testout) << "rule = " << rule->Name() << endl;
|
|
(*testout) << "class = " << tolerance << endl;
|
|
(*testout) << "lpoints: " << endl;
|
|
for (int i = 1; i <= lpoints.Size(); i++)
|
|
(*testout) << lpoints.Get(i) << endl;
|
|
(*testout) << "llines: " << endl;
|
|
for (int i = 1; i <= llines.Size(); i++)
|
|
(*testout) << llines.Get(i).I1() << " " << llines.Get(i).I2() << endl;
|
|
|
|
(*testout) << "Freezone: ";
|
|
for (int i = 1; i <= rule -> GetTransFreeZone().Size(); i++)
|
|
(*testout) << rule->GetTransFreeZone().Get(i) << endl;
|
|
}
|
|
#endif
|
|
|
|
minelerr = elerr;
|
|
found = ri;
|
|
|
|
tempnewpoints = lpoints.Range (noldlp, lpoints.Size());
|
|
tempnewlines = llines.Range (noldll, llines.Size());
|
|
tempdellines = dellines;
|
|
tempelements = elements;
|
|
}
|
|
|
|
lpoints.SetSize (noldlp);
|
|
llines.SetSize (noldll);
|
|
dellines.SetSize (0);
|
|
elements.SetSize (0);
|
|
ok = 0;
|
|
}
|
|
}
|
|
|
|
nlok = rule->GetNOldL();
|
|
|
|
lused.Set (lmap.Get(nlok), 0);
|
|
|
|
for (int j = 1; j <= 2; j++)
|
|
{
|
|
int refpi = rule->GetPointNr (nlok, j);
|
|
pused.Elem(pmap.Get(refpi))--;
|
|
|
|
if (pused.Get(pmap.Get(refpi)) == 0)
|
|
pmap.Set(refpi, 0);
|
|
}
|
|
}
|
|
}
|
|
}
|
|
|
|
|
|
if (found)
|
|
{
|
|
lpoints.Append (tempnewpoints);
|
|
llines1.Append (tempnewlines);
|
|
dellines.Append (tempdellines);
|
|
elements.Append (tempelements);
|
|
}
|
|
|
|
|
|
return found;
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
}
|