brep2sdf/code/IsoSurfacing/ThirdParty/DualContour/octree.cpp

/*

  Implementations of Octree member functions.

  Copyright (C) 2011  Tao Ju

  This library is free software; you can redistribute it and/or
  modify it under the terms of the GNU Lesser General Public License
  (LGPL) as published by the Free Software Foundation; either
  version 2.1 of the License, or (at your option) any later version.

  This library is distributed in the hope that it will be useful,
  but WITHOUT ANY WARRANTY; without even the implied warranty of
  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
  Lesser General Public License for more details.

  You should have received a copy of the GNU Lesser General Public
  License along with this library; if not, write to the Free Software
  Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA
*/

#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#include <time.h>
#include "octree.h"
#include "PLYWriter.h"

#include <iostream>

Octree::Octree()
{
}

Octree::Octree(char* fname)
{
	// Recognize file format

	if (strstr(fname, ".sog") != NULL || strstr(fname, ".SOG") != NULL)
	{
		printf("Reading SOG file format.\n");
		this->hasQEF = 0;
		readSOG(fname);
	}
	else if (strstr(fname, ".dcf") != NULL || strstr(fname, ".DCF") != NULL)
	{
		printf("Reading DCF file format.\n");
		this->hasQEF = 1;
		readDCF(fname);
	}
	else
	{
		printf("Wrong input format. Must be SOG/DCF.\n");
		exit(0);
	}
}

Octree::~Octree()
{
	if (root)
		delete root;
	root = 0;
}

void Octree::simplify(float thresh)
{
	if (this->hasQEF)
	{
		int st[3] = { 0,0,0 };
		this->root = simplify(root, st, dimen, thresh);
	}
}

OctreeNode* Octree::simplify(OctreeNode* node, int st[3], int len, float thresh)
{
	if (node == NULL)
	{
		return NULL;
	}

	int type = node->getType();

	if (type == 0)
	{
		// Internal node
		InternalNode* inode = ((InternalNode*)node);

		int simple = 1;

		float ata[6] = { 0, 0, 0, 0, 0, 0 };
		float atb[3] = { 0, 0, 0 };
		float pt[3] = { 0, 0, 0 };
		float mp[3] = { 0, 0, 0 };
		float btb = 0;
		int signs[8] = { -1,-1,-1,-1,-1,-1,-1,-1 };
		int midsign = -1;

		int nlen = len / 2;
		int nst[3];
		int ec = 0;
		int ht;

		for (int i = 0; i < 8; i++)
		{
			nst[0] = st[0] + vertMap[i][0] * nlen;
			nst[1] = st[1] + vertMap[i][1] * nlen;
			nst[2] = st[2] + vertMap[i][2] * nlen;

			inode->child[i] = simplify(inode->child[i], nst, nlen, thresh);

			if (inode->child[i] != NULL)
			{
				if (inode->child[i]->getType() == 0)
				{
					simple = 0;
				}
				else if (inode->child[i]->getType() == 1)
				{
					LeafNode* lnode = (LeafNode*)inode->child[i];
					ht = lnode->height;

					for (int j = 0; j < 6; j++)
					{
						ata[j] += lnode->ata[j];
					}
					for (int j = 0; j < 3; j++)
					{
						atb[j] += lnode->atb[j];
						pt[j] += lnode->mp[j];
					}
					if (lnode->mp[0] == 0)
					{
						printf("%f %f %f, Height: %d\n", lnode->mp[0], lnode->mp[1], lnode->mp[2], ht);
					}
					btb += lnode->btb;
					ec++;

					midsign = lnode->getSign(7 - i);
					signs[i] = lnode->getSign(i);
				}
				else
				{
					PseudoLeafNode* pnode = (PseudoLeafNode*)inode->child[i];
					ht = pnode->height;

					for (int j = 0; j < 6; j++)
					{
						ata[j] += pnode->ata[j];
					}
					for (int j = 0; j < 3; j++)
					{
						atb[j] += pnode->atb[j];
						pt[j] += pnode->mp[j];
					}
					btb += pnode->btb;
					ec++;

					midsign = pnode->getSign(7 - i);
					signs[i] = pnode->getSign(i);
				}
			}
		}

		if (simple)
		{
			// Ok, let's collapse
			if (ec == 0)
			{
				delete node;
				return NULL;
			}
			else
			{
				pt[0] = pt[0] / ec;
				pt[1] = pt[1] / ec;
				pt[2] = pt[2] / ec;
				if (pt[0] < st[0] || pt[1] < st[1] || pt[2] < st[2] ||
					pt[0] > st[0] + len || pt[1] > st[1] + len || pt[2] > st[2] + len)
				{
					//printf("Out! %f %f %f, Box: (%d %d %d) Len: %d ec: %d\n", pt[0], pt[1], pt[2], st[0],st[1],st[2],len,ec) ;
				}

				unsigned char sg = 0;
				for (int i = 0; i < 8; i++)
				{
					if (signs[i] == 1)
					{
						sg |= (1 << i);
					}
					else if (signs[i] == -1)
					{
						// Undetermined, use center sign instead
						if (midsign == 1)
						{
							sg |= (1 << i);
						}
						else if (midsign == -1)
						{
							printf("Wrong!");
						}
					}
				}

				// Solve
				float mat[10];
				BoundingBoxf* box = new BoundingBoxf;
				box->begin.x = (float)st[0];
				box->begin.y = (float)st[1];
				box->begin.z = (float)st[2];
				box->end.x = (float)st[0] + len;
				box->end.y = (float)st[1] + len;
				box->end.z = (float)st[2] + len;

				float error = calcPoint(ata, atb, btb, pt, mp, box, mat);
#ifdef CLAMP
				if (mp[0] < st[0] || mp[1] < st[1] || mp[2] < st[2] ||
					mp[0] > st[0] + len || mp[1] > st[1] + len || mp[2] > st[2] + len)
				{
					mp[0] = pt[0];
					mp[1] = pt[1];
					mp[2] = pt[2];
				}
#endif
				if (error <= thresh)
				{
					//mp[0] = st[0] + len / 2 ;
					//mp[1] = st[1] + len / 2 ;
					//mp[2] = st[2] + len / 2 ;

					PseudoLeafNode* pnode = new PseudoLeafNode(ht + 1, sg, ata, atb, btb, mp);
					for (int i = 0; i < 8; i++)
					{
						pnode->child[i] = inode->child[i];
					}

					delete inode;
					return pnode;
				}
				else
				{
					return node;
				}
			}
		}
		else
		{
			return node;
		}
	}
	else
	{
		return node;
	}
}

void Octree::readSOG(char* fname)
{
	FILE* fin = fopen(fname, "rb");
	if (fin == NULL)
	{
		printf("Can not open file %s.\n", fname);
	}

	// Process header
	char header[] = "SOG.Format 1.0";
	float origin[3];
	float range;

	fread(header, sizeof(char), strlen(header) + 1, fin);
	if (strcmp(header, "SOG.Format 1.0"))
	{
		printf("Incorrect file format.\n", fname);
		exit(1);
	}
	fread(origin, sizeof(float), 3, fin);
	fread(&range, sizeof(float), 1, fin);
	printf("Origin: (%f, %f, %f), Range: %f.\n", origin[0], origin[1], origin[2], range);

	int nlen = 128 - 4 * 4 - strlen(header) - 1;
	char* header2 = new char[nlen];
	fread(header2, sizeof(char), nlen, fin);

	fread(&(this->dimen), sizeof(int), 1, fin);
	this->maxDepth = 0;
	int temp = 1;
	while (temp < this->dimen)
	{
		maxDepth++;
		temp <<= 1;
	}
	printf("Dimensions: %d Depth: %d\n", this->dimen, maxDepth);

	// Recursive reader
	int st[3] = { 0,0,0 };
	this->root = readSOG(fin, st, dimen, maxDepth, origin, range);

	printf("Done reading.\n");
	fclose(fin);
}

OctreeNode* Octree::readSOG(FILE* fin, int st[3], int len, int ht, float origin[3], float range)
{
	OctreeNode* rvalue = NULL;
	int i;

	// Get type
	char type;
	fread(&type, sizeof(char), 1, fin);

	if (type == 0)
	{
		// Internal node
		rvalue = new InternalNode();

		int nlen = len / 2;
		int nst[3];

		for (i = 0; i < 8; i++)
		{
			nst[0] = st[0] + vertMap[i][0] * nlen;
			nst[1] = st[1] + vertMap[i][1] * nlen;
			nst[2] = st[2] + vertMap[i][2] * nlen;

			((InternalNode*)rvalue)->child[i] = readSOG(fin, nst, nlen, ht - 1, origin, range);
		}
	}
	else if (type == 1)
	{
		// Empty node
		char sg;
		fread(&sg, sizeof(char), 1, fin);
		sg = ~sg;
	}
	else if (type == 2)
	{
		// Leaf node
		unsigned char sg;
		fread(&sg, sizeof(unsigned char), 1, fin);
		sg = ~sg;

		float coord[3];
		fread(coord, sizeof(float), 3, fin);

#ifdef SOG_RELATIVE
		coord[0] = st[0] + len * coord[0];
		coord[1] = st[1] + len * coord[1];
		coord[2] = st[2] + len * coord[2];
#else
		for (i = 0; i < 3; i++)
		{
			coord[i] = (coord[i] - origin[i]) * dimen / range;
		}
#endif

		rvalue = new LeafNode(ht, sg, coord);
	}
	else if (type == 3)
	{
		// Pseudo-leaf node
		unsigned char sg;
		fread(&sg, sizeof(unsigned char), 1, fin);
		sg = ~sg;

		float coord[3];
		fread(coord, sizeof(float), 3, fin);

#ifdef SOG_RELATIVE
		coord[0] = st[0] + len * coord[0];
		coord[1] = st[1] + len * coord[1];
		coord[2] = st[2] + len * coord[2];
#else
		for (i = 0; i < 3; i++)
		{
			coord[i] = (coord[i] - origin[i]) * dimen / range;
		}
#endif

		rvalue = new PseudoLeafNode(ht, sg, coord);

		int nlen = len / 2;
		int nst[3];

		for (int k = 0; i < 8; i++)
		{
			nst[0] = st[0] + vertMap[i][0] * nlen;
			nst[1] = st[1] + vertMap[i][1] * nlen;
			nst[2] = st[2] + vertMap[i][2] * nlen;
			((PseudoLeafNode*)rvalue)->child[i] = readSOG(fin, nst, nlen, ht - 1, origin, range);
		}
	}
	else
	{
		printf("Wrong! Type: %d\n", type);
	}
	return rvalue;
}

void Octree::readDCF(char* fname)
{
	FILE* fin = fopen(fname, "rb");
	if (fin == NULL)
	{
		printf("Can not open file %s.\n", fname);
	}

	// Process header
	char version[10];
	fread(version, sizeof(char), 10, fin);
	//std::cout << version << std::endl;
	if (strcmp(version, "multisign") != 0)
	{
		printf("Wrong DCF version.\n");
		exit(0);
	}

	fread(&(this->dimen), sizeof(int), 1, fin);
	//std::cout << this->dimen << ' ';
	fread(&(this->dimen), sizeof(int), 1, fin);
	//std::cout << this->dimen << ' ';
	fread(&(this->dimen), sizeof(int), 1, fin);
	//std::cout << this->dimen << std::endl;
	this->maxDepth = 0;
	int temp = 1;
	while (temp < this->dimen)
	{
		maxDepth++;
		temp <<= 1;
	}
	printf("Dimensions: %d Depth: %d\n", this->dimen, maxDepth);

	// Recursive reader
	int st[3] = { 0, 0, 0 };
	this->root = readDCF(fin, st, dimen, maxDepth);

	printf("Done reading.\n");
	fclose(fin);
}

OctreeNode* Octree::readDCF(FILE* fin, int st[3], int len, int ht)
{
	OctreeNode* rvalue = NULL;

	// Get type
	int type;
	fread(&type, sizeof(int), 1, fin);
	//std::cout << space <<"t" << type << std::endl;
	// printf("Type: %d\n", type);
	if (type == 0)
	{
		// Internal node
		rvalue = new InternalNode();
		int nlen = len / 2;
		int nst[3];

		for (int i = 0; i < 8; i++)
		{
			nst[0] = st[0] + vertMap[i][0] * nlen;
			nst[1] = st[1] + vertMap[i][1] * nlen;
			nst[2] = st[2] + vertMap[i][2] * nlen;

			((InternalNode*)rvalue)->child[i] = readDCF(fin, nst, nlen, ht - 1);
		}
	}
	else if (type == 1)
	{
		// Empty node
		//short sg ;
		//fread( &sg, sizeof( short ), 1, fin ) ;
		////std::cout << space << sg << std::endl;
	}
	else if (type == 2)
	{
		// Leaf node
		//short rsg[8] ;
		//fread( rsg, sizeof( short ), 8, fin ) ;
		//unsigned char sg = 0 ;

		//for ( int i = 0 ; i < 8 ; i ++ )
		//{
		//	//std::cout << space << rsg[i] << std::endl;
		//	if ( rsg[i] != 0 )
		//	{
		//		sg |= ( 1 << i ) ;
		//	}
		//}
		int sg = 0;
		fread(&sg, sizeof(int), 1, fin);
		//std::cout  << space << sg << std::endl;
		float inters[12][3], norms[12][3];
		int numinters = 0;

		for (int i = 0; i < 12; i++)
		{
			int num;
			fread(&num, sizeof(int), 1, fin);
			//std::cout << space << num << std::endl;
			if (num > 0)
			{
				for (int j = 0; j < num; j++)
				{
					float off;
					fread(&off, sizeof(float), 1, fin);
					fread(norms[numinters], sizeof(float), 3, fin);

					//std::cout << space << norms[numinters][0] << ' ' << norms[numinters][1] << ' ' << norms[numinters][2] << std::endl;

					int dir = i / 4;
					int base = edgevmap[i][0];
					inters[numinters][0] = st[0] + vertMap[base][0] * len;
					inters[numinters][1] = st[1] + vertMap[base][1] * len;
					inters[numinters][2] = st[2] + vertMap[base][2] * len;
					inters[numinters][dir] += off;

					numinters++;
				}
			}
		}

		if (numinters > 0)
		{
			rvalue = new LeafNode(ht, (unsigned char)sg, st, len, numinters, inters, norms);
		}
		else
		{
			rvalue = NULL;
		}
	}
	else
	{
		printf("Wrong! Type: %d\n", type);
	}
	return rvalue;
}

void Octree::genContourNoInter2(const char* fname)
{
	int numTris = 0;
	int numVertices = 0;
	IndexedTriangleList* tlist = new IndexedTriangleList;
	VertexList* vlist = new VertexList;
	tlist->next = NULL;
	vlist->next = NULL;

	founds = 0;
	news = 0;

	// generate triangles
	faceVerts = 0;
	edgeVerts = 0;
	HashMap* hash = new HashMap();
	int st[3] = { 0,0,0 };
	printf("Processing contour...\n");

	clock_t start = clock();
	cellProcContourNoInter2(root, st, dimen, hash, tlist, numTris, vlist, numVertices);
	clock_t finish = clock();
	printf("Time used: %f seconds.\n", (float)(finish - start) / (float)CLOCKS_PER_SEC);

	printf("Face vertices: %d Edge vertices: %d\n", faceVerts, edgeVerts);
	printf("New hash entries: %d. Found times: %d\n", news, founds);

	// Finally, turn into PLY
	FILE* fout = fopen(fname, "wb");
	printf("Vertices counted: %d Triangles counted: %d \n", numVertices, numTris);
	PLYWriter::writeHeader(fout, numVertices, numTris);
	float p[3];
	VertexList* v = vlist->next;
	while (v != NULL)
	{
		to_world(v->vt, p);
		PLYWriter::writeVertex(fout, p);
		//PLYWriter::writeVertex(fout, v->vt);
		v = v->next;
	}

	IndexedTriangleList* t = tlist->next;
	for (int i = 0; i < numTris; i++)
	{
		int inds[] = { numVertices - 1 - t->vt[0], numVertices - 1 - t->vt[2], numVertices - 1 - t->vt[1] };

		PLYWriter::writeFace(fout, 3, inds);
		t = t->next;
	}

	fclose(fout);

	// Clear up
	delete hash;
	v = vlist;
	while (v != NULL)
	{
		vlist = v->next;
		delete v;
		v = vlist;
	}
	t = tlist;
	while (t != NULL)
	{
		tlist = t->next;
		delete t;
		t = tlist;
	}
}

void Octree::genContourNoInter(const char* fname)
{
	int numTris = 0;
	TriangleList* list = new TriangleList;
	list->next = NULL;

	founds = 0;
	news = 0;

	// generate triangles
	faceVerts = 0;
	edgeVerts = 0;
	HashMap2* hash = new HashMap2();
	int st[3] = { 0,0,0 };
	printf("Processing contour...\n");
	cellProcContourNoInter(root, st, dimen, hash, list, numTris);
	printf("Face vertices: %d Edge vertices: %d\n", faceVerts, edgeVerts);
	printf("New hash entries: %d. Found times: %d\n", news, founds);

	// Finally, turn into PLY
	int numVertices = 3 * numTris;

	FILE* fout = fopen(fname, "wb");
	printf("Vertices counted: %d Triangles counted: %d \n", numVertices, numTris);
	PLYWriter::writeHeader(fout, numVertices, numTris);

	float p[3];
	TriangleList* t = list->next;
	while (t != NULL)
	{
		for (int j = 0; j < 3; j++)
		{
			to_world(t->vt[j], p);
			PLYWriter::writeVertex(fout, p);
			//PLYWriter::writeVertex(fout, t->vt[j]);
		}

		t = t->next;
	}

	t = list->next;
	for (int i = 0; i < numTris; i++)
	{
		int tind[] = { 3 * i, 3 * i + 2 , 3 * i + 1};
		PLYWriter::writeFace(fout, 3, tind);

		t = t->next;
	}

	fclose(fout);

	// Clear up
	delete hash;
	t = list;
	while (t != NULL)
	{
		list = t->next;
		delete t;
		t = list;
	}
}

void Octree::genContour(const char* fname)
{
	int numTris = 0;
	int numVertices = 0;

	FILE* fout = fopen(fname, "wb");
	cellProcCount(root, numVertices, numTris);
	printf("Vertices counted: %d Triangles counted: %d \n", numVertices, numTris);
	PLYWriter::writeHeader(fout, numVertices, numTris);
	int offset = 0;

	clock_t start = clock();
	generateVertexIndex(root, offset, fout);
	actualTris = 0;
	cellProcContour(this->root, fout);
	clock_t finish = clock();
	printf("Time used: %f seconds.\n", (float)(finish - start) / (float)CLOCKS_PER_SEC);

	printf("Actual triangles written: %d\n", actualTris);

	fclose(fout);
}

void Octree::generateVertexIndex(OctreeNode* node, int& offset, FILE* fout)
{
	int type = node->getType();

	if (type == 0)
	{
		// Internal node
		InternalNode* inode = ((InternalNode*)node);

		for (int i = 0; i < 8; i++)
		{
			if (inode->child[i] != NULL)
			{
				generateVertexIndex(inode->child[i], offset, fout);
			}
		}
	}
	else if (type == 1)
	{
		// Leaf node
		LeafNode* lnode = ((LeafNode*)node);
		float p[3];
		to_world(lnode->mp, p);
		PLYWriter::writeVertex(fout, p);
		//PLYWriter::writeVertex(fout, lnode->mp);

		lnode->index = offset;
		offset++;
	}
	else if (type == 2)
	{
		// Pseudo leaf node
		PseudoLeafNode* pnode = ((PseudoLeafNode*)node);
		float p[3];
		to_world(pnode->mp, p);
		PLYWriter::writeVertex(fout, p);
		//PLYWriter::writeVertex(fout, pnode->mp);

		pnode->index = offset;
		offset++;
	}
}

void Octree::to_world(const float pos[3], float newpos[3])
{
	newpos[0] = pos[0] * scale - shift[0];
	newpos[1] = pos[1] * scale - shift[1];
	newpos[2] = pos[2] * scale - shift[2];
}

void Octree::cellProcContour(OctreeNode* node, FILE* fout)
{
	if (node == NULL)
	{
		return;
	}

	int type = node->getType();

	if (type == 0)
	{
		InternalNode* inode = ((InternalNode*)node);

		// 8 Cell calls
		for (int i = 0; i < 8; i++)
		{
			cellProcContour(inode->child[i], fout);
		}

		// 12 face calls
		OctreeNode* fcd[2];
		for (int i = 0; i < 12; i++)
		{
			int c[2] = { cellProcFaceMask[i][0], cellProcFaceMask[i][1] };

			fcd[0] = inode->child[c[0]];
			fcd[1] = inode->child[c[1]];

			faceProcContour(fcd, cellProcFaceMask[i][2], fout);
		}

		// 6 edge calls
		OctreeNode* ecd[4];
		for (int i = 0; i < 6; i++)
		{
			int c[4] = { cellProcEdgeMask[i][0], cellProcEdgeMask[i][1], cellProcEdgeMask[i][2], cellProcEdgeMask[i][3] };

			for (int j = 0; j < 4; j++)
			{
				ecd[j] = inode->child[c[j]];
			}

			edgeProcContour(ecd, cellProcEdgeMask[i][4], fout);
		}
	}
};

void Octree::faceProcContour(OctreeNode* node[2], int dir, FILE* fout)
{
	//	printf("I am at a face! %d\n", dir ) ;
	if (!(node[0] && node[1]))
	{
		//		printf("I am none.\n") ;
		return;
	}

	int type[2] = { node[0]->getType(), node[1]->getType() };

	if (type[0] == 0 || type[1] == 0)
	{
		int i, j;

		// 4 face calls
		OctreeNode* fcd[2];
		for (i = 0; i < 4; i++)
		{
			int c[2] = { faceProcFaceMask[dir][i][0], faceProcFaceMask[dir][i][1] };
			for (int j = 0; j < 2; j++)
			{
				if (type[j] > 0)
				{
					fcd[j] = node[j];
				}
				else
				{
					fcd[j] = ((InternalNode*)node[j])->child[c[j]];
				}
			}
			faceProcContour(fcd, faceProcFaceMask[dir][i][2], fout);
		}

		// 4 edge calls
		int orders[2][4] = { { 0, 0, 1, 1 }, { 0, 1, 0, 1 } };
		OctreeNode* ecd[4];

		for (i = 0; i < 4; i++)
		{
			int c[4] = { faceProcEdgeMask[dir][i][1], faceProcEdgeMask[dir][i][2],
						 faceProcEdgeMask[dir][i][3], faceProcEdgeMask[dir][i][4] };
			int* order = orders[faceProcEdgeMask[dir][i][0]];

			for (int j = 0; j < 4; j++)
			{
				if (type[order[j]] > 0)
				{
					ecd[j] = node[order[j]];
				}
				else
				{
					ecd[j] = ((InternalNode*)node[order[j]])->child[c[j]];
				}
			}

			edgeProcContour(ecd, faceProcEdgeMask[dir][i][5], fout);
		}
		//		printf("I am done.\n") ;
	}
	else
	{
		//		printf("I don't have any children.\n") ;
	}
};

void Octree::edgeProcContour(OctreeNode* node[4], int dir, FILE* fout)
{
	if (!(node[0] && node[1] && node[2] && node[3]))
	{
		return;
	}

	int type[4] = { node[0]->getType(), node[1]->getType(), node[2]->getType(), node[3]->getType() };

	if (type[0] > 0 && type[1] > 0 && type[2] > 0 && type[3] > 0)
	{
		processEdgeWrite(node, dir, fout);
	}
	else
	{
		int i, j;

		// 2 edge calls
		OctreeNode* ecd[4];
		for (i = 0; i < 2; i++)
		{
			int c[4] = { edgeProcEdgeMask[dir][i][0],
						   edgeProcEdgeMask[dir][i][1],
						   edgeProcEdgeMask[dir][i][2],
						   edgeProcEdgeMask[dir][i][3] };

			for (int j = 0; j < 4; j++)
			{
				if (type[j] > 0)
				{
					ecd[j] = node[j];
				}
				else
				{
					ecd[j] = ((InternalNode*)node[j])->child[c[j]];
				}
			}

			edgeProcContour(ecd, edgeProcEdgeMask[dir][i][4], fout);
		}
	}
};

void Octree::processEdgeWrite(OctreeNode* node[4], int dir, FILE* fout)
{
	// Get minimal cell
	int i, type, ht, minht = maxDepth + 1, mini = -1;
	int ind[4], sc[4], flip[4] = { 0,0,0,0 };
	int flip2;
	for (i = 0; i < 4; i++)
	{
		if (node[i]->getType() == 1)
		{
			LeafNode* lnode = ((LeafNode*)node[i]);

			int ed = processEdgeMask[dir][i];
			int c1 = edgevmap[ed][0];
			int c2 = edgevmap[ed][1];

			if (lnode->height < minht)
			{
				minht = lnode->height;
				mini = i;
				if (lnode->getSign(c1) > 0)
				{
					flip2 = 1;
				}
				else
				{
					flip2 = 0;
				}
			}
			ind[i] = lnode->index;

			if (lnode->getSign(c1) == lnode->getSign(c2))
			{
				sc[i] = 0;
			}
			else
			{
				sc[i] = 1;

				//				if ( lnode->getSign(c1) > 0 )
				//				{
				//					flip[ i ] = 1 ;
				//				}
			}
		}
		else
		{
			PseudoLeafNode* pnode = ((PseudoLeafNode*)node[i]);

			int ed = processEdgeMask[dir][i];
			int c1 = edgevmap[ed][0];
			int c2 = edgevmap[ed][1];

			if (pnode->height < minht)
			{
				minht = pnode->height;
				mini = i;
				if (pnode->getSign(c1) > 0)
				{
					flip2 = 1;
				}
				else
				{
					flip2 = 0;
				}
			}
			ind[i] = pnode->index;

			if (pnode->getSign(c1) == pnode->getSign(c2))
			{
				sc[i] = 0;
			}
			else
			{
				sc[i] = 1;

				//				if ( pnode->getSign(c1) > 0 )
				//				{
				//					flip[ i ] = 1 ;
				//					flip2 = 1 ;
				//				}
			}
		}
	}

	if (sc[mini] == 1)
	{
		if (flip2 == 0)
		{
			actualTris++;
			if (ind[0] == ind[1])
			{
				int tind[] = { ind[0], ind[2], ind[3] };
				PLYWriter::writeFace(fout, 3, tind);
			}
			else if (ind[1] == ind[3])
			{
				int tind[] = { ind[0], ind[2], ind[1] };
				PLYWriter::writeFace(fout, 3, tind);
			}
			else if (ind[3] == ind[2])
			{
				int tind[] = { ind[0], ind[3], ind[1] };
				PLYWriter::writeFace(fout, 3, tind);
			}
			else if (ind[2] == ind[0])
			{
				int tind[] = { ind[1], ind[2], ind[3] };
				PLYWriter::writeFace(fout, 3, tind);
			}
			else
			{
				int tind1[] = { ind[0], ind[3], ind[1] };
				PLYWriter::writeFace(fout, 3, tind1);
				int tind2[] = { ind[0], ind[2], ind[3] };
				PLYWriter::writeFace(fout, 3, tind2);
				actualTris++;
			}
		}
		else
		{
			actualTris++;
			if (ind[0] == ind[1])
			{
				int tind[] = { ind[0], ind[3], ind[2] };
				PLYWriter::writeFace(fout, 3, tind);
			}
			else if (ind[1] == ind[3])
			{
				int tind[] = { ind[0], ind[1], ind[2] };
				PLYWriter::writeFace(fout, 3, tind);
			}
			else if (ind[3] == ind[2])
			{
				int tind[] = { ind[0], ind[1], ind[3] };
				PLYWriter::writeFace(fout, 3, tind);
			}
			else if (ind[2] == ind[0])
			{
				int tind[] = { ind[1], ind[3], ind[2] };
				PLYWriter::writeFace(fout, 3, tind);
			}
			else
			{
				int tind1[] = { ind[0], ind[1], ind[3] };
				PLYWriter::writeFace(fout, 3, tind1);
				int tind2[] = { ind[0], ind[3], ind[2] };
				PLYWriter::writeFace(fout, 3, tind2);
				actualTris++;
			}
		}
	}
};

void Octree::cellProcCount(OctreeNode* node, int& nverts, int& nfaces)
{
	if (node == NULL)
	{
		return;
	}

	int type = node->getType();

	if (type > 0)
	{
		nverts++;
	}
	else
	{
		InternalNode* inode = ((InternalNode*)node);

		// 8 Cell calls
		for (int i = 0; i < 8; i++)
		{
			cellProcCount(inode->child[i], nverts, nfaces);
		}

		// 12 face calls
		OctreeNode* fcd[2];
		for (int i = 0; i < 12; i++)
		{
			int c[2] = { cellProcFaceMask[i][0], cellProcFaceMask[i][1] };

			fcd[0] = inode->child[c[0]];
			fcd[1] = inode->child[c[1]];

			faceProcCount(fcd, cellProcFaceMask[i][2], nverts, nfaces);
		}

		// 6 edge calls
		OctreeNode* ecd[4];
		for (int i = 0; i < 6; i++)
		{
			int c[4] = { cellProcEdgeMask[i][0], cellProcEdgeMask[i][1], cellProcEdgeMask[i][2], cellProcEdgeMask[i][3] };

			for (int j = 0; j < 4; j++)
			{
				ecd[j] = inode->child[c[j]];
			}

			edgeProcCount(ecd, cellProcEdgeMask[i][4], nverts, nfaces);
		}
	}
};

void Octree::faceProcCount(OctreeNode* node[2], int dir, int& nverts, int& nfaces)
{
	if (!(node[0] && node[1]))
	{
		return;
	}

	int type[2] = { node[0]->getType(), node[1]->getType() };

	if (type[0] == 0 || type[1] == 0)
	{
		int i, j;

		// 4 face calls
		OctreeNode* fcd[2];
		for (i = 0; i < 4; i++)
		{
			int c[2] = { faceProcFaceMask[dir][i][0], faceProcFaceMask[dir][i][1] };
			for (int j = 0; j < 2; j++)
			{
				if (type[j] > 0)
				{
					fcd[j] = node[j];
				}
				else
				{
					fcd[j] = ((InternalNode*)node[j])->child[c[j]];
				}
			}
			faceProcCount(fcd, faceProcFaceMask[dir][i][2], nverts, nfaces);
		}

		// 4 edge calls
		int orders[2][4] = { { 0, 0, 1, 1 }, { 0, 1, 0, 1 } };
		OctreeNode* ecd[4];

		for (i = 0; i < 4; i++)
		{
			int c[4] = { faceProcEdgeMask[dir][i][1], faceProcEdgeMask[dir][i][2],
						 faceProcEdgeMask[dir][i][3], faceProcEdgeMask[dir][i][4] };
			int* order = orders[faceProcEdgeMask[dir][i][0]];

			for (int j = 0; j < 4; j++)
			{
				if (type[order[j]] > 0)
				{
					ecd[j] = node[order[j]];
				}
				else
				{
					ecd[j] = ((InternalNode*)node[order[j]])->child[c[j]];
				}
			}

			edgeProcCount(ecd, faceProcEdgeMask[dir][i][5], nverts, nfaces);
		}
	}
};

void Octree::edgeProcCount(OctreeNode* node[4], int dir, int& nverts, int& nfaces)
{
	if (!(node[0] && node[1] && node[2] && node[3]))
	{
		return;
	}

	int type[4] = { node[0]->getType(), node[1]->getType(), node[2]->getType(), node[3]->getType() };

	if (type[0] > 0 && type[1] > 0 && type[2] > 0 && type[3] > 0)
	{
		processEdgeCount(node, dir, nverts, nfaces);
	}
	else
	{
		int i, j;

		// 2 edge calls
		OctreeNode* ecd[4];
		for (i = 0; i < 2; i++)
		{
			int c[4] = { edgeProcEdgeMask[dir][i][0],
						   edgeProcEdgeMask[dir][i][1],
						   edgeProcEdgeMask[dir][i][2],
						   edgeProcEdgeMask[dir][i][3] };

			for (int j = 0; j < 4; j++)
			{
				if (type[j] > 0)
				{
					ecd[j] = node[j];
				}
				else
				{
					ecd[j] = ((InternalNode*)node[j])->child[c[j]];
				}
			}

			edgeProcCount(ecd, edgeProcEdgeMask[dir][i][4], nverts, nfaces);
		}
	}
};

void Octree::processEdgeCount(OctreeNode* node[4], int dir, int& nverts, int& nfaces)
{
	// Get minimal cell
	int i, type, ht, minht = maxDepth + 1, mini = -1;
	int ind[4], sc[4], flip[4] = { 0,0,0,0 };
	for (i = 0; i < 4; i++)
	{
		if (node[i]->getType() == 1)
		{
			LeafNode* lnode = ((LeafNode*)node[i]);

			if (lnode->height < minht)
			{
				minht = lnode->height;
				mini = i;
			}
			ind[i] = lnode->index;

			int ed = processEdgeMask[dir][i];
			int c1 = edgevmap[ed][0];
			int c2 = edgevmap[ed][1];

			if (lnode->getSign(c1) == lnode->getSign(c2))
			{
				sc[i] = 0;
			}
			else
			{
				sc[i] = 1;

				if (lnode->getSign(c1) > 0)
				{
					flip[i] = 1;
				}
			}
		}
		else
		{
			PseudoLeafNode* pnode = ((PseudoLeafNode*)node[i]);

			if (pnode->height < minht)
			{
				minht = pnode->height;
				mini = i;
			}
			ind[i] = pnode->index;

			int ed = processEdgeMask[dir][i];
			int c1 = edgevmap[ed][0];
			int c2 = edgevmap[ed][1];

			if (pnode->getSign(c1) == pnode->getSign(c2))
			{
				sc[i] = 0;
			}
			else
			{
				sc[i] = 1;

				if (pnode->getSign(c1) > 0)
				{
					flip[i] = 1;
				}
			}
		}
	}

	if (sc[mini] == 1)
	{
		nfaces++;
		if (node[0] != node[1] && node[1] != node[3] && node[3] != node[2] && node[2] != node[0])
		{
			nfaces++;
		}
	}
};

/************************************************************************/
/* Start Non-inters                                                     */
/************************************************************************/

void Octree::cellProcContourNoInter(OctreeNode* node, int st[3], int len, HashMap2* hash, TriangleList* list, int& numTris)
{
	if (node == NULL)
	{
		return;
	}

	int type = node->getType();

	if (type == 0)
	{
		InternalNode* inode = ((InternalNode*)node);

		// 8 Cell calls
		int nlen = len / 2;
		int nst[3];

		for (int i = 0; i < 8; i++)
		{
			nst[0] = st[0] + vertMap[i][0] * nlen;
			nst[1] = st[1] + vertMap[i][1] * nlen;
			nst[2] = st[2] + vertMap[i][2] * nlen;
			cellProcContourNoInter(inode->child[i], nst, nlen, hash, list, numTris);
		}

		// 12 face calls
		OctreeNode* fcd[2];
		int dirCell2[3][4][3] = {
			{{0,-1,-1},{0,-1,0},{0,0,-1},{0,0,0}},
			{{-1,0,-1},{0,0,-1},{-1,0,0},{0,0,0}},
			{{-1,-1,0},{-1,0,0},{0,-1,0},{0,0,0}} };
		for (int i = 0; i < 3; i++)
			for (int j = 0; j < 4; j++)
			{
				nst[0] = st[0] + nlen + dirCell2[i][j][0] * nlen;
				nst[1] = st[1] + nlen + dirCell2[i][j][1] * nlen;
				nst[2] = st[2] + nlen + dirCell2[i][j][2] * nlen;

				int ed = i * 4 + j;
				int c[2] = { cellProcFaceMask[ed][0], cellProcFaceMask[ed][1] };

				fcd[0] = inode->child[c[0]];
				fcd[1] = inode->child[c[1]];

				faceProcContourNoInter(fcd, nst, nlen, cellProcFaceMask[ed][2], hash, list, numTris);
			}

		// 6 edge calls
		OctreeNode* ecd[4];
		for (int i = 0; i < 6; i++)
		{
			int c[4] = { cellProcEdgeMask[i][0], cellProcEdgeMask[i][1], cellProcEdgeMask[i][2], cellProcEdgeMask[i][3] };

			for (int j = 0; j < 4; j++)
			{
				ecd[j] = inode->child[c[j]];
			}

			int dir = cellProcEdgeMask[i][4];
			nst[0] = st[0] + nlen;
			nst[1] = st[1] + nlen;
			nst[2] = st[2] + nlen;
			if (i % 2 == 0)
			{
				nst[dir] -= nlen;
			}

			edgeProcContourNoInter(ecd, nst, nlen, dir, hash, list, numTris);
		}
	}
};

void Octree::faceProcContourNoInter(OctreeNode* node[2], int st[3], int len, int dir, HashMap2* hash, TriangleList* list, int& numTris)
{
	printf("I am at a face! %d %d %d, %d, %d\n", st[0], st[1], st[2], len, dir);
	if (!(node[0] && node[1]))
	{
		printf("I am none.\n");
		return;
	}

	int type[2] = { node[0]->getType(), node[1]->getType() };

	if (type[0] == 0 || type[1] == 0)
	{
		int i, j;
		int nlen = len / 2;
		int nst[3];

		// 4 face calls
		OctreeNode* fcd[2];
		int iface = faceProcFaceMask[dir][0][0];
		for (i = 0; i < 4; i++)
		{
			int c[2] = { faceProcFaceMask[dir][i][0], faceProcFaceMask[dir][i][1] };
			for (int j = 0; j < 2; j++)
			{
				if (type[j] > 0)
				{
					fcd[j] = node[j];
				}
				else
				{
					fcd[j] = ((InternalNode*)node[j])->child[c[j]];
				}
			}

			nst[0] = st[0] + nlen * (vertMap[c[0]][0] - vertMap[iface][0]);
			nst[1] = st[1] + nlen * (vertMap[c[0]][1] - vertMap[iface][1]);
			nst[2] = st[2] + nlen * (vertMap[c[0]][2] - vertMap[iface][2]);

			faceProcContourNoInter(fcd, nst, nlen, faceProcFaceMask[dir][i][2], hash, list, numTris);
		}

		// 4 edge calls
		int orders[2][4] = { { 0, 0, 1, 1 }, { 0, 1, 0, 1 } };
		OctreeNode* ecd[4];

		for (i = 0; i < 4; i++)
		{
			int c[4] = { faceProcEdgeMask[dir][i][1], faceProcEdgeMask[dir][i][2],
						 faceProcEdgeMask[dir][i][3], faceProcEdgeMask[dir][i][4] };
			int* order = orders[faceProcEdgeMask[dir][i][0]];

			for (int j = 0; j < 4; j++)
			{
				if (type[order[j]] > 0)
				{
					ecd[j] = node[order[j]];
				}
				else
				{
					ecd[j] = ((InternalNode*)node[order[j]])->child[c[j]];
				}
			}

			int ndir = faceProcEdgeMask[dir][i][5];
			nst[0] = st[0] + nlen;
			nst[1] = st[1] + nlen;
			nst[2] = st[2] + nlen;
			nst[dir] -= nlen;
			if (i % 2 == 0)
			{
				nst[ndir] -= nlen;
			}

			edgeProcContourNoInter(ecd, nst, nlen, ndir, hash, list, numTris);
		}
		printf("I am done.\n");
	}
	else
	{
		printf("I don't have any children.\n");
	}
};

void Octree::edgeProcContourNoInter(OctreeNode* node[4], int st[3], int len, int dir, HashMap2* hash, TriangleList* list, int& numTris)
{
	if (!(node[0] && node[1] && node[2] && node[3]))
	{
		return;
	}

	int type[4] = { node[0]->getType(), node[1]->getType(), node[2]->getType(), node[3]->getType() };

	if (type[0] > 0 && type[1] > 0 && type[2] > 0 && type[3] > 0)
	{
		this->processEdgeNoInter(node, st, len, dir, hash, list, numTris);
	}
	else
	{
		int i, j;
		int nlen = len / 2;
		int nst[3];

		// 2 edge calls
		OctreeNode* ecd[4];
		for (i = 0; i < 2; i++)
		{
			int c[4] = { edgeProcEdgeMask[dir][i][0],
						   edgeProcEdgeMask[dir][i][1],
						   edgeProcEdgeMask[dir][i][2],
						   edgeProcEdgeMask[dir][i][3] };

			for (int j = 0; j < 4; j++)
			{
				if (type[j] > 0)
				{
					ecd[j] = node[j];
				}
				else
				{
					ecd[j] = ((InternalNode*)node[j])->child[c[j]];
				}
			}

			nst[0] = st[0];
			nst[1] = st[1];
			nst[2] = st[2];
			nst[dir] += nlen * i;

			edgeProcContourNoInter(ecd, nst, nlen, edgeProcEdgeMask[dir][i][4], hash, list, numTris);
		}
	}
};

void Octree::processEdgeNoInter(OctreeNode* node[4], int st[3], int len, int dir, HashMap2* hash, TriangleList* list, int& numTris)
{
	// Get minimal cell
	int i, type, minht = maxDepth + 1, mini = -1;
	int ind[4], sc[4], flip[4] = { 0,0,0,0 }, ht[4];
	float mp[4][3];
	for (i = 0; i < 4; i++)
	{
		if (node[i]->getType() == 1)
		{
			LeafNode* lnode = ((LeafNode*)node[i]);
			ht[i] = lnode->height;
			mp[i][0] = lnode->mp[0];
			mp[i][1] = lnode->mp[1];
			mp[i][2] = lnode->mp[2];

			if (lnode->height < minht)
			{
				minht = lnode->height;
				mini = i;
			}
			ind[i] = lnode->index;

			int ed = processEdgeMask[dir][i];
			int c1 = edgevmap[ed][0];
			int c2 = edgevmap[ed][1];

			if (lnode->getSign(c1) == lnode->getSign(c2))
			{
				sc[i] = 0;
			}
			else
			{
				sc[i] = 1;
			}
		}
		else if (node[i]->getType() == 2)
		{
			PseudoLeafNode* pnode = ((PseudoLeafNode*)node[i]);
			ht[i] = pnode->height;
			mp[i][0] = pnode->mp[0];
			mp[i][1] = pnode->mp[1];
			mp[i][2] = pnode->mp[2];

			if (pnode->height < minht)
			{
				minht = pnode->height;
				mini = i;
			}
			ind[i] = pnode->index;

			int ed = processEdgeMask[dir][i];
			int c1 = edgevmap[ed][0];
			int c2 = edgevmap[ed][1];

			if (pnode->getSign(c1) == pnode->getSign(c2))
			{
				sc[i] = 0;
			}
			else
			{
				sc[i] = 1;
			}
		}
		else
		{
			printf("Wrong!\n");
		}
	}

	if (sc[mini] == 0)
	{
		return;
	}

	/************************************************************************/
	/* Performing test                                                      */
	/************************************************************************/

	float fverts[4][3];
	int hasFverts[4] = { 0, 0, 0, 0 };
	float evert[3] = { 0,0,0 };
	int needTess = 0;

	// First, face test
	int nbr[4][2] = { {0,1},{1,3},{2,3},{0,2} };
	int fdir[3][4] = {
		{2,1,2,1},
		{0,2,0,2},
		{1,0,1,0} };
	int dir3[3][4][2] = {
		{{1, -1},{2, 0},{1, 0},{2, -1}},
		{{2, -1},{0, 0},{2, 0},{0, -1}},
		{{0, -1},{1, 0},{0, 0},{1, -1}} };

	for (i = 0; i < 4; i++)
	{
		int a = nbr[i][0];
		int b = nbr[i][1];

		if (ht[a] != ht[b])
		{
			// Different level, check if the dual edge passes through the face
			if (hash->FindKey(reinterpret_cast<std::intptr_t>(node[a]), reinterpret_cast<std::intptr_t>(node[b]), fverts[i]))
			{
				// The vertex was found previously
				founds++;
				hasFverts[i] = 1;
				needTess = 1;
			}
			else
			{
				// Otherwise, we test it here
				int sht = (ht[a] > ht[b] ? ht[b] : ht[a]);
				int flen = (1 << sht);
				int fst[3];

				fst[fdir[dir][i]] = st[fdir[dir][i]];
				fst[dir3[dir][i][0]] = st[dir3[dir][i][0]] + flen * dir3[dir][i][1];
				fst[dir] = st[dir] - (st[dir] & ((1 << sht) - 1));

				if (testFace(fst, flen, fdir[dir][i], mp[a], mp[b]) == 0)
				{
					// Dual edge does not pass face, let's make a new vertex
					makeFaceVertex(fst, flen, fdir[dir][i], node[a], node[b], fverts[i]);
					hash->InsertKey(reinterpret_cast<std::intptr_t>(node[a]), reinterpret_cast<std::intptr_t>(node[b]), fverts[i]);
					hasFverts[i] = 1;
					needTess = 1;
					news++;
				}
			}
		}
	}

	// Next, edge test
	int diag = 1;
	if (needTess == 0)
	{
		// Even if all dual edges pass through faces, the dual complex of an edge may not be convex
		//int st2[3] = { st[0], st[1], st[2] } ;
		//st2[ dir ] += len ;

		diag = testEdge(st, len, dir, node, mp);
		if (diag == 0)
		{
			// When this happens, we need to create an extra vertex on the primal edge
			needTess = 1;
		}
	}

	if (needTess)
	{
		edgeVerts++;
		makeEdgeVertex(st, len, dir, node, mp, evert);

		/* Just take centroid
		int num = 0 ;
		evert[0] = st[0] ;
		evert[1] = st[1] ;
		evert[2] = st[2] ;
		evert[dir] = 0 ;
		for ( i = 0 ; i < 4 ; i ++ )
		{
			evert[dir] += mp[i][dir] ;
			num ++ ;

			if ( hasFverts[ i ] )
			{
				evert[dir] += fverts[i][dir] ;
				num ++ ;
			}
		}
		evert[dir] /= num ;
		*/

		/* Avoid bad triangles
		int dir2 = ( dir + 1 ) % 3 ;
		int dir3 = ( dir2 + 1 ) % 3 ;
		float epsilon = 0.01f ;
		for ( i = 0 ; i < 4 ; i ++ )
		{
			if ( hasFverts[ i ] && fabs( fverts[i][dir2] - st[dir2] ) < epsilon &&  fabs( fverts[i][dir3] - st[dir3] ) < epsilon )
			{
				evert[dir] = fverts[i][dir] ;
				break ;
			}
		}
		*/

		/*
				if ( evert[dir] < st[dir] )
				{
					evert[dir] = st[dir] ;
				}
				else if ( evert[dir] > st[dir] + len )
				{
					evert[dir] = st[dir] + len ;
				}
		*/
	}

	// Finally, let's output triangle
	if (needTess == 0)
	{
		// Normal splitting of quad
		if (diag == 1)
		{
			if (node[0] != node[1] && node[1] != node[3])
			{
				int tind1[] = { 0,1,3 };

				numTris++;
				TriangleList* t1 = new TriangleList;
				t1->next = list->next;
				list->next = t1;
				for (int j = 0; j < 3; j++)
					for (int k = 0; k < 3; k++)
					{
						t1->vt[j][k] = mp[tind1[j]][k];
					}
			}

			if (node[3] != node[2] && node[2] != node[0])
			{
				int tind2[] = { 3,2,0 };

				numTris++;
				TriangleList* t2 = new TriangleList;
				t2->next = list->next;
				list->next = t2;
				for (int j = 0; j < 3; j++)
					for (int k = 0; k < 3; k++)
					{
						t2->vt[j][k] = mp[tind2[j]][k];
					}
			}
		}
		else
		{
			if (node[0] != node[1] && node[1] != node[2])
			{
				int tind1[] = { 0,1,2 };

				numTris++;
				TriangleList* t1 = new TriangleList;
				t1->next = list->next;
				list->next = t1;
				for (int j = 0; j < 3; j++)
					for (int k = 0; k < 3; k++)
					{
						t1->vt[j][k] = mp[tind1[j]][k];
					}
			}

			if (node[1] != node[3] && node[3] != node[2])
			{
				int tind2[] = { 1,3,2 };

				numTris++;
				TriangleList* t2 = new TriangleList;
				t2->next = list->next;
				list->next = t2;
				for (int j = 0; j < 3; j++)
					for (int k = 0; k < 3; k++)
					{
						t2->vt[j][k] = mp[tind2[j]][k];
					}
			}
		}
	}
	else
	{
		// Center-splitting
		for (i = 0; i < 4; i++)
		{
			int a = nbr[i][0];
			int b = nbr[i][1];

			if (hasFverts[i])
			{
				// Further split each triangle into two
				numTris += 2;

				TriangleList* t = new TriangleList;
				t->next = list->next;
				list->next = t;
				for (int k = 0; k < 3; k++)
				{
					t->vt[0][k] = mp[a][k];
					t->vt[1][k] = evert[k];
					t->vt[2][k] = fverts[i][k];
				}

				t = new TriangleList;
				t->next = list->next;
				list->next = t;
				for (int k = 0; k < 3; k++)
				{
					t->vt[0][k] = mp[b][k];
					t->vt[1][k] = evert[k];
					t->vt[2][k] = fverts[i][k];
				}
			}
			else
			{
				// For one triangle with center vertex
				if (node[a] != node[b])
				{
					numTris++;
					TriangleList* t = new TriangleList;
					t->next = list->next;
					list->next = t;
					for (int k = 0; k < 3; k++)
					{
						t->vt[0][k] = mp[a][k];
						t->vt[1][k] = mp[b][k];
						t->vt[2][k] = evert[k];
					}
				}
			}
		}
	}
};

int Octree::testFace(int st[3], int len, int dir, float v1[3], float v2[3])
{
#ifdef TESS_UNIFORM
	return 0;
#endif

#ifdef TESS_NONE
	return 1;
#endif
	float vec[3] = { v2[0] - v1[0], v2[1] - v1[1], v2[2] - v1[2] };
	float ax1[3], ax2[3];
	float ed1[3] = { 0,0,0 }, ed2[3] = { 0,0,0 };
	ed1[(dir + 1) % 3] = 1;
	ed2[(dir + 2) % 3] = 1;

	Intersection::cross(ed1, vec, ax1);
	Intersection::cross(ed2, vec, ax2);

	Triangle* t1 = new Triangle;
	Triangle* t2 = new Triangle;

	for (int i = 0; i < 3; i++)
	{
		t1->vt[0][i] = v1[i];
		t1->vt[1][i] = v2[i];
		t1->vt[2][i] = v2[i];

		t2->vt[0][i] = st[i];
		t2->vt[1][i] = st[i];
		t2->vt[2][i] = st[i];
	}
	t2->vt[1][(dir + 1) % 3] += len;
	t2->vt[2][(dir + 2) % 3] += len;

	if (Intersection::separating(ax1, t1, t2) || Intersection::separating(ax2, t1, t2))
	{
		faceVerts++;
		/*
					printf("\n{{{%d, %d, %d},%d,%d},{{%f, %f, %f},{%f, %f, %f}}}\n",
						st[0],st[1], st[2],
						len, dir+1,
						v1[0], v1[1], v1[2],
						v2[0], v2[1], v2[2]) ;
		*/
		return 0;
	}
	else
	{
		return 1;
	}
};

int Octree::testEdge(int st[3], int len, int dir, OctreeNode* node[4], float v[4][3])
{
#ifdef TESS_UNIFORM
	return 0;
#endif

#ifdef TESS_NONE
	return 1;
#endif

	if (node[0] == node[1] || node[1] == node[3] || node[3] == node[2] || node[2] == node[0])
	{
		//		return 1 ;
	}

	float p1[3] = { (float)st[0], (float)st[1], (float)st[2] };
	float p2[3] = { (float)st[0], (float)st[1], (float)st[2] };
	p2[dir] += len;

	int nbr[] = { 0,1,3,2,0 };
	int nbr2[] = { 3,2,0,1,3 };
	float nm[3], vec1[4][3], vec2[4][3];
	float d1, d2;

	for (int i = 0; i < 4; i++)
	{
		for (int j = 0; j < 3; j++)
		{
			vec1[i][j] = v[i][j] - p1[j];
			vec2[i][j] = v[i][j] - p2[j];
		}
	}

#ifdef EDGE_TEST_CONVEXITY
	for (i = 0; i < 4; i++)
	{
		int a = nbr[i];
		int b = nbr[i + 1];
		int c = nbr2[i];
		int d = nbr2[i + 1];

		if (node[a] == node[b])
		{
			continue;
		}

		Intersection::cross(vec1[a], vec1[b], nm);
		d1 = Intersection::dot(vec1[c], nm);
		d2 = Intersection::dot(vec1[d], nm);

		if (d1 * d2 < 0)
		{
			/*
			printf("1\n{{{%f, %f, %f},{%f, %f, %f}},{{%f, %f, %f},{%f, %f, %f},{%f, %f, %f},{%f, %f, %f}}}\n",
				p1[0], p1[1], p1[2],
				p2[0], p2[1], p2[2],
				v[0][0], v[0][1], v[0][2],
				v[1][0], v[1][1], v[1][2],
				v[2][0], v[2][1], v[2][2],
				v[3][0], v[3][1], v[3][2]) ;
			*/
			return 0;
		}

		Intersection::cross(vec2[a], vec2[b], nm);
		d1 = Intersection::dot(vec2[c], nm);
		d2 = Intersection::dot(vec2[d], nm);

		if (d1 * d2 < 0)
		{
			/*
			printf("2\n{{{%f, %f, %f},{%f, %f, %f}},{{%f, %f, %f},{%f, %f, %f},{%f, %f, %f},{%f, %f, %f}}}\n",
				p1[0], p1[1], p1[2],
				p2[0], p2[1], p2[2],
				v[0][0], v[0][1], v[0][2],
				v[1][0], v[1][1], v[1][2],
				v[2][0], v[2][1], v[2][2],
				v[3][0], v[3][1], v[3][2]) ;
			*/
			return 0;
	}
	}
#else
#ifdef EDGE_TEST_FLIPDIAGONAL
	Triangle* t1 = new Triangle;
	Triangle* t2 = new Triangle;
	int tri[2][2][4] = { {{0,1,3,2},{3,2,0,1}},{{2,0,1,3},{1,3,2,0}} };
	for (i = 0; i < 2; i++)
	{
		int good = 1;
		for (int j = 0; j < 2; j++)
		{
			// Top
			for (int k = 0; k < 3; k++)
			{
				t1->vt[0][k] = v[tri[i][j][0]][k];
				t1->vt[1][k] = v[tri[i][j][1]][k];
				t1->vt[2][k] = v[tri[i][j][2]][k];

				t2->vt[0][k] = p1[k];
				t2->vt[1][k] = v[tri[i][j][2]][k];
				t2->vt[2][k] = v[tri[i][j][3]][k];
			}

			if (Intersection::testIntersection(t1, t2))
			{
				good = 0;
				break;
			}

			// Bottom
			for (k = 0; k < 3; k++)
			{
				t2->vt[0][k] = p2[k];
				t2->vt[1][k] = v[tri[i][j][2]][k];
				t2->vt[2][k] = v[tri[i][j][3]][k];
			}

			if (Intersection::testIntersection(t1, t2))
			{
				good = 0;
				break;
			}
		}

		if (good)
		{
			return (i + 1);
		}
	}
	return 0;

#else
#ifdef EDGE_TEST_NEW
	Triangle* t1 = new Triangle;
	int tri[2][2][4] = { {{0,1,3,2},{3,2,0,1}},{{2,0,1,3},{1,3,2,0}} };
	for (int i = 0; i < 2; i++)
	{
		// For each triangulation
		for (int j = 0; j < 2; j++)
		{
			// Starting with each triangle
			int k;

			// Check triangle and dual edge
			float vec1[3], vec2[3], vec3[3], vec[3];
			for (int k = 0; k < 3; k++)
			{
				t1->vt[0][k] = v[tri[i][j][0]][k];
				t1->vt[1][k] = v[tri[i][j][1]][k];
				t1->vt[2][k] = v[tri[i][j][2]][k];

				vec1[k] = t1->vt[1][k] - t1->vt[0][k];
				vec2[k] = t1->vt[2][k] - t1->vt[1][k];
			}

			float axes[3];
			Intersection::cross(vec1, vec2, axes);

			if (Intersection::separating(axes, t1, p1, p2))
			{
				continue;
			}

			// Check diagonal and the other triangle
			for (int k = 0; k < 3; k++)
			{
				t1->vt[0][k] = p1[k];
				t1->vt[1][k] = p2[k];
				t1->vt[2][k] = v[tri[i][j][3]][k];

				vec1[k] = t1->vt[1][k] - t1->vt[0][k];
				vec2[k] = t1->vt[2][k] - t1->vt[1][k];
				vec3[k] = t1->vt[0][k] - t1->vt[2][k];

				vec[k] = v[tri[i][j][2]][k] - v[tri[i][j][0]][k];
			}

			float axes1[3], axes2[3], axes3[3];
			Intersection::cross(vec1, vec, axes1);
			Intersection::cross(vec2, vec, axes2);
			Intersection::cross(vec3, vec, axes3);

			if (Intersection::separating(axes1, t1, v[tri[i][j][0]], v[tri[i][j][2]]) ||
				Intersection::separating(axes2, t1, v[tri[i][j][0]], v[tri[i][j][2]]) ||
				Intersection::separating(axes3, t1, v[tri[i][j][0]], v[tri[i][j][2]]))
			{
				continue;
			}

			return (i + 1);
		}
	}
	return 0;

#endif

#endif
#endif

	return 1;
};

void Octree::makeFaceVertex(int st[3], int len, int dir, OctreeNode* node1, OctreeNode* node2, float v[3])
{
	int nlen = len / 2;
	v[0] = st[0] + nlen;
	v[1] = st[1] + nlen;
	v[2] = st[2] + nlen;
	v[dir] -= nlen;

	//	return ;

	//	if ( this->hasQEF == 0 )
	//	{
	//		return ;
	//	}

	int i, j;
	float ata[6] = { 0, 0, 0, 0, 0, 0 };
	float atb[3] = { 0, 0, 0 };
	float btb = 0;
	OctreeNode* node[2] = { node1, node2 };

	// Gather QEF
	for (j = 0; j < 2; j++)
	{
		if (node[j]->getType() == 1)
		{
			LeafNode* lnode = ((LeafNode*)node[j]);
			for (i = 0; i < 6; i++)
			{
				ata[i] += lnode->ata[i];
			}
			for (i = 0; i < 3; i++)
			{
				atb[i] += lnode->atb[i];
			}
			btb += lnode->btb;
		}
		else
		{
			PseudoLeafNode* lnode = ((PseudoLeafNode*)node[j]);
			for (i = 0; i < 6; i++)
			{
				ata[i] += lnode->ata[i];
			}
			for (i = 0; i < 3; i++)
			{
				atb[i] += lnode->atb[i];
			}
			btb += lnode->btb;
		}
	}

	// Form 2 by 2 matrix nata and 2-vector natb
	float nata[2][2], natb[2];
	int dir2, dir3;
	switch (dir)
	{
	case 0:
		nata[0][0] = ata[3];
		nata[0][1] = ata[4];
		nata[1][0] = ata[4];
		nata[1][1] = ata[5];
		natb[0] = atb[1] - st[dir] * ata[1];
		natb[1] = atb[2] - st[dir] * ata[2];
		dir2 = 1;
		dir3 = 2;
		break;
	case 1:
		nata[0][0] = ata[0];
		nata[0][1] = ata[2];
		nata[1][0] = ata[2];
		nata[1][1] = ata[5];
		natb[0] = atb[0] - st[dir] * ata[1];
		natb[1] = atb[2] - st[dir] * ata[4];
		dir2 = 0;
		dir3 = 2;
		break;
	case 2:
		nata[0][0] = ata[0];
		nata[0][1] = ata[1];
		nata[1][0] = ata[1];
		nata[1][1] = ata[3];
		natb[0] = atb[0] - st[dir] * ata[2];
		natb[1] = atb[1] - st[dir] * ata[4];
		dir2 = 0;
		dir3 = 1;
		break;
	}

	// Solve
	float det = nata[0][0] * nata[1][1] - nata[0][1] * nata[1][0];
	if (det == 0)
	{
		/*
		float a2 = nata[ 0 ][ 0 ] * nata[ 0 ][ 0 ] ;
		float b2 = nata[ 0 ][ 1 ] * nata[ 1 ][ 0 ]  ;
		float det2 = ( a2 + b2 ) * ( a2 + b2 ) ;
		inv[ 0 ][ 0 ] = nata[ 0 ][ 0 ] * a2 / det2 ;
		inv[ 0 ][ 1 ] = nata[ 0 ][ 1 ] * a2 / det2 ;
		inv[ 1 ][ 0 ] = nata[ 1 ][ 0 ] * a2 / det2 ;
		inv[ 1 ][ 1 ] = nata[ 1 ][ 1 ] * a2 / det2 ;
		*/
		//printf("det is zero.\n") ;

		float cent[2] = { 0, 0 };
		int n = 0;
		float x, y;
		for (i = 0; i < 2; i++)
		{
			if (nata[i][0] != 0)
			{
				for (j = 0; j < 2; j++)
				{
					y = st[dir3] + len * j;
					x = (natb[i] - nata[i][1] * y) / nata[i][0];
					if (x >= st[dir2] && x <= st[dir2] + len)
					{
						cent[0] += x;
						cent[1] += y;
						n++;
					}
				}
			}
			if (nata[i][1] != 0)
			{
				for (j = 0; j < 2; j++)
				{
					x = st[dir2] + len * j;
					y = (natb[i] - nata[i][0] * x) / nata[i][1];
					if (y >= st[dir3] && y <= st[dir3] + len)
					{
						cent[0] += x;
						cent[1] += y;
						n++;
					}
				}
			}
		}

		if (n > 0)
		{
			v[dir2] = cent[0] / n;
			v[dir3] = cent[1] / n;
		}
		else
		{
			printf("No good choices of face points.\n");
		}

		return;
	}
	else
	{
		float inv[2][2];
		inv[0][0] = nata[1][1] / det;
		inv[0][1] = -nata[0][1] / det;
		inv[1][0] = -nata[0][1] / det;
		inv[1][1] = nata[0][0] / det;

		v[dir2] = inv[0][0] * natb[0] + inv[0][1] * natb[1];
		v[dir3] = inv[1][0] * natb[0] + inv[1][1] * natb[1];

		if (v[dir2] < st[dir2])
		{
			v[dir2] = st[dir2];
		}
		else if (v[dir2] > st[dir2] + len)
		{
			v[dir2] = st[dir2] + len;
		}

		if (v[dir3] < st[dir3])
		{
			v[dir3] = st[dir3];
		}
		else if (v[dir3] > st[dir3] + len)
		{
			v[dir3] = st[dir3] + len;
		}
	}
};

void Octree::makeEdgeVertex(int st[3], int len, int dir, OctreeNode* node[4], float mp[4][3], float v[3])
{
	int nlen = len / 2;
	v[0] = st[0];
	v[1] = st[1];
	v[2] = st[2];
	v[dir] += nlen;

	//return ;

//	if ( this->hasQEF == 0 )
//	{
//		return ;
//	}

	/* QEF based method

	int i, j ;
	float ata[6] = { 0, 0, 0, 0, 0, 0 };
	float atb[3] = { 0, 0, 0 } ;
	float btb = 0 ;

	// Gather QEF
	for ( j = 0 ; j < 4 ; j ++ )
	{
		if ( node[j]->getType() == 1 )
		{
			LeafNode* lnode = ((LeafNode *) node[j]) ;
			for ( i = 0 ; i < 6 ; i ++ )
			{
				ata[i] += lnode->ata[i] ;
			}
			for ( i = 0 ; i < 3 ; i ++ )
			{
				atb[i] += lnode->atb[i] ;
			}
			btb += lnode->btb ;
		}
		else
		{
			PseudoLeafNode* lnode = ((PseudoLeafNode *) node[j]) ;
			for ( i = 0 ; i < 6 ; i ++ )
			{
				ata[i] += lnode->ata[i] ;
			}
			for ( i = 0 ; i < 3 ; i ++ )
			{
				atb[i] += lnode->atb[i] ;
			}
			btb += lnode->btb ;
		}
	}

	// Find coefficient A and b
	float A, b ;
	switch ( dir )
	{
	case 0 :
		A = ata[ 0 ] ;
		b = atb[ 0 ] - ata[ 1 ] * st[ 1 ] - ata[ 2 ] * st[ 2 ] ;
		break ;
	case 1 :
		A = ata[ 3 ] ;
		b = atb[ 1 ] - ata[ 1 ] * st[ 0 ] - ata[ 4 ] * st[ 2 ] ;
		break ;
	case 2 :
		A = ata[ 5 ] ;
		b = atb[ 2 ] - ata[ 2 ] * st[ 0 ] - ata[ 4 ] * st[ 1 ] ;
		break ;
	}

	if ( A == 0 )
	{
		printf("A is zero!\n") ;
		return ;
	}
	else
	{
		v[ dir ] = b / A ;
		if ( v[ dir ] < st[ dir ] )
		{
			v[ dir ] = st[ dir ] ;
		}
		else if ( v[ dir ] > st[ dir ] + len)
		{
			v[ dir ] = st[ dir ] + len ;
		}
	}
	*/

	/* Barycentric approach */
	float pt[4][2], pv[4], x[2];
	int dir2 = (dir + 1) % 3;
	int dir3 = (dir2 + 1) % 3;
	int seq[] = { 0,1,3,2 };
	float epsilon = 0.000001f;

	for (int i = 0; i < 4; i++)
	{
		pt[i][0] = mp[seq[i]][dir2];
		pt[i][1] = mp[seq[i]][dir3];
		pv[i] = mp[seq[i]][dir];
	}
	x[0] = st[dir2];
	x[1] = st[dir3];

	// Compute mean-value interpolation

	float vec[4][2], d[4];
	for (int i = 0; i < 4; i++)
	{
		vec[i][0] = pt[i][0] - x[0];
		vec[i][1] = pt[i][1] - x[1];

		d[i] = sqrt(vec[i][0] * vec[i][0] + vec[i][1] * vec[i][1]);

		if (d[i] < epsilon)
		{
			v[dir] = pv[i];
			if (v[dir] < st[dir])
			{
				v[dir] = st[dir];
			}
			else if (v[dir] > st[dir] + len)
			{
				v[dir] = st[dir] + len;
			}

			return;
		}
	}

	float w[4] = { 0,0,0,0 }, totw = 0;
	for (int i = 0; i < 4; i++)
	{
		int i2 = (i + 1) % 4;
		float sine = (vec[i][0] * vec[i2][1] - vec[i][1] * vec[i2][0]) / (d[i] * d[i2]);
		float cosine = (vec[i][0] * vec[i2][0] + vec[i][1] * vec[i2][1]) / (d[i] * d[i2]);

		if (fabs(cosine + 1) < epsilon)
		{
			v[dir] = (pv[i] * d[i2] + pv[i2] * d[i]) / (d[i] + d[i2]);

			if (v[dir] < st[dir])
			{
				v[dir] = st[dir];
			}
			else if (v[dir] > st[dir] + len)
			{
				v[dir] = st[dir] + len;
			}

			return;
		}

		float tan2 = sine / (1 + cosine);

		w[i] += (tan2 / d[i]);
		w[i2] += (tan2 / d[i2]);

		totw += (tan2 / d[i]);
		totw += (tan2 / d[i2]);
	}

	v[dir] = 0;
	for (int i = 0; i < 4; i++)
	{
		v[dir] += (w[i] * pv[i] / totw);
	}
	/**/
	if (v[dir] < st[dir])
	{
		v[dir] = st[dir];
	}
	else if (v[dir] > st[dir] + len)
	{
		v[dir] = st[dir] + len;
	}
};

void Octree::cellProcContourNoInter2(OctreeNode* node, int st[3], int len, HashMap* hash, IndexedTriangleList* tlist, int& numTris, VertexList* vlist, int& numVerts)
{
	//	printf("I am at a cell! %d %d %d, %d \n", st[0], st[1], st[2], len ) ;
	if (node == NULL)
	{
		//		printf("Empty cell.\n") ;
		return;
	}

	int type = node->getType();

	if (type == 0)
	{
		InternalNode* inode = ((InternalNode*)node);

		// 8 Cell calls
//			printf("Process cell calls!\n") ;
		int nlen = len / 2;
		int nst[3];

		for (int i = 0; i < 8; i++)
		{
			//			printf("Cell %d..\n", i) ;
			nst[0] = st[0] + vertMap[i][0] * nlen;
			nst[1] = st[1] + vertMap[i][1] * nlen;
			nst[2] = st[2] + vertMap[i][2] * nlen;
			cellProcContourNoInter2(inode->child[i], nst, nlen, hash, tlist, numTris, vlist, numVerts);
			//		printf("Return from %d %d %d, %d \n", nst[0], nst[1], nst[2], nlen ) ;
		}
		//					printf("I am done with cells!\n") ;

				// 12 face calls
		//			printf("Process face calls!\n") ;
		OctreeNode* fcd[2];
		int dirCell2[3][4][3] = {
			{{0,-1,-1},{0,-1,0},{0,0,-1},{0,0,0}},
			{{-1,0,-1},{0,0,-1},{-1,0,0},{0,0,0}},
			{{-1,-1,0},{-1,0,0},{0,-1,0},{0,0,0}} };
		for (int i = 0; i < 3; i++)
			for (int j = 0; j < 4; j++)
			{
				nst[0] = st[0] + nlen + dirCell2[i][j][0] * nlen;
				nst[1] = st[1] + nlen + dirCell2[i][j][1] * nlen;
				nst[2] = st[2] + nlen + dirCell2[i][j][2] * nlen;

				int ed = i * 4 + j;
				int c[2] = { cellProcFaceMask[ed][0], cellProcFaceMask[ed][1] };

				fcd[0] = inode->child[c[0]];
				fcd[1] = inode->child[c[1]];

				faceProcContourNoInter2(fcd, nst, nlen, cellProcFaceMask[ed][2], hash, tlist, numTris, vlist, numVerts);
			}
		//					printf("I am done with faces!\n") ;

				// 6 edge calls
		//			printf("Process edge calls!\n") ;
		OctreeNode* ecd[4];
		for (int i = 0; i < 6; i++)
		{
			int c[4] = { cellProcEdgeMask[i][0], cellProcEdgeMask[i][1], cellProcEdgeMask[i][2], cellProcEdgeMask[i][3] };

			for (int j = 0; j < 4; j++)
			{
				ecd[j] = inode->child[c[j]];
			}

			int dir = cellProcEdgeMask[i][4];
			nst[0] = st[0] + nlen;
			nst[1] = st[1] + nlen;
			nst[2] = st[2] + nlen;
			if (i % 2 == 0)
			{
				nst[dir] -= nlen;
			}

			edgeProcContourNoInter2(ecd, nst, nlen, dir, hash, tlist, numTris, vlist, numVerts);
		}
		//					printf("I am done with edges!\n") ;
	}
	//	printf("I am done with cell %d %d %d, %d \n", st[0], st[1], st[2], len ) ;
};

void Octree::faceProcContourNoInter2(OctreeNode* node[2], int st[3], int len, int dir, HashMap* hash, IndexedTriangleList* tlist, int& numTris, VertexList* vlist, int& numVerts)
{
	//	printf("I am at a face! %d %d %d, %d, %d\n", st[0], st[1], st[2], len, dir ) ;
	if (!(node[0] && node[1]))
	{
		//		printf("I am none.\n") ;
		return;
	}

	int type[2] = { node[0]->getType(), node[1]->getType() };

	if (type[0] == 0 || type[1] == 0)
	{
		int i, j;
		int nlen = len / 2;
		int nst[3];

		// 4 face calls
		OctreeNode* fcd[2];
		int iface = faceProcFaceMask[dir][0][0];
		for (i = 0; i < 4; i++)
		{
			int c[2] = { faceProcFaceMask[dir][i][0], faceProcFaceMask[dir][i][1] };
			for (int j = 0; j < 2; j++)
			{
				if (type[j] > 0)
				{
					fcd[j] = node[j];
				}
				else
				{
					fcd[j] = ((InternalNode*)node[j])->child[c[j]];
				}
			}

			nst[0] = st[0] + nlen * (vertMap[c[0]][0] - vertMap[iface][0]);
			nst[1] = st[1] + nlen * (vertMap[c[0]][1] - vertMap[iface][1]);
			nst[2] = st[2] + nlen * (vertMap[c[0]][2] - vertMap[iface][2]);

			faceProcContourNoInter2(fcd, nst, nlen, faceProcFaceMask[dir][i][2], hash, tlist, numTris, vlist, numVerts);
		}

		// 4 edge calls
		int orders[2][4] = { { 0, 0, 1, 1 }, { 0, 1, 0, 1 } };
		OctreeNode* ecd[4];

		for (i = 0; i < 4; i++)
		{
			int c[4] = { faceProcEdgeMask[dir][i][1], faceProcEdgeMask[dir][i][2],
						 faceProcEdgeMask[dir][i][3], faceProcEdgeMask[dir][i][4] };
			int* order = orders[faceProcEdgeMask[dir][i][0]];

			for (int j = 0; j < 4; j++)
			{
				if (type[order[j]] > 0)
				{
					ecd[j] = node[order[j]];
				}
				else
				{
					ecd[j] = ((InternalNode*)node[order[j]])->child[c[j]];
				}
			}

			int ndir = faceProcEdgeMask[dir][i][5];
			nst[0] = st[0] + nlen;
			nst[1] = st[1] + nlen;
			nst[2] = st[2] + nlen;
			nst[dir] -= nlen;
			if (i % 2 == 0)
			{
				nst[ndir] -= nlen;
			}

			edgeProcContourNoInter2(ecd, nst, nlen, ndir, hash, tlist, numTris, vlist, numVerts);
		}
		//		printf("I am done.\n") ;
	}
	else
	{
		//		printf("i don't have children.\n");
	}
};

void Octree::edgeProcContourNoInter2(OctreeNode* node[4], int st[3], int len, int dir, HashMap* hash, IndexedTriangleList* tlist, int& numTris, VertexList* vlist, int& numVerts)
{
	//	printf("I am at an edge! %d %d %d \n", st[0], st[1], st[2] ) ;
	if (!(node[0] && node[1] && node[2] && node[3]))
	{
		//		printf("I am done!\n") ;
		return;
	}

	int type[4] = { node[0]->getType(), node[1]->getType(), node[2]->getType(), node[3]->getType() };

	if (type[0] > 0 && type[1] > 0 && type[2] > 0 && type[3] > 0)
	{
		this->processEdgeNoInter2(node, st, len, dir, hash, tlist, numTris, vlist, numVerts);
	}
	else
	{
		int i, j;
		int nlen = len / 2;
		int nst[3];

		// 2 edge calls
		OctreeNode* ecd[4];
		for (i = 0; i < 2; i++)
		{
			int c[4] = { edgeProcEdgeMask[dir][i][0],
						   edgeProcEdgeMask[dir][i][1],
						   edgeProcEdgeMask[dir][i][2],
						   edgeProcEdgeMask[dir][i][3] };

			for (int j = 0; j < 4; j++)
			{
				if (type[j] > 0)
				{
					ecd[j] = node[j];
				}
				else
				{
					ecd[j] = ((InternalNode*)node[j])->child[c[j]];
				}
			}

			nst[0] = st[0];
			nst[1] = st[1];
			nst[2] = st[2];
			nst[dir] += nlen * i;

			edgeProcContourNoInter2(ecd, nst, nlen, edgeProcEdgeMask[dir][i][4], hash, tlist, numTris, vlist, numVerts);
		}
	}
	//		printf("I am done!\n") ;
};

void Octree::processEdgeNoInter2(OctreeNode* node[4], int st[3], int len, int dir, HashMap* hash, IndexedTriangleList* tlist, int& numTris, VertexList* vlist, int& numVerts)
{
	//	printf("I am at a leaf edge! %d %d %d\n", st[0], st[1], st[2] ) ;
		// Get minimal cell
	int i, type, minht = maxDepth + 1, mini = -1;
	int ind[4], sc[4], ht[4], flip = 0;
	float mp[4][3];
	for (i = 0; i < 4; i++)
	{
		if (node[i]->getType() == 1)
		{
			LeafNode* lnode = ((LeafNode*)node[i]);
			ht[i] = lnode->height;
			mp[i][0] = lnode->mp[0];
			mp[i][1] = lnode->mp[1];
			mp[i][2] = lnode->mp[2];

			int ed = processEdgeMask[dir][i];
			int c1 = edgevmap[ed][0];
			int c2 = edgevmap[ed][1];

			if (lnode->height < minht)
			{
				minht = lnode->height;
				mini = i;
				if (lnode->getSign(c1) > 0)
				{
					flip = 1;
				}
				else
				{
					flip = 0;
				}
			}
			ind[i] = lnode->index;
			if (ind[i] < 0)
			{
				// Create new index
				VertexList* nv = new VertexList;
				nv->vt[0] = lnode->mp[0];
				nv->vt[1] = lnode->mp[1];
				nv->vt[2] = lnode->mp[2];
				nv->next = vlist->next;
				vlist->next = nv;
				ind[i] = numVerts;
				lnode->index = numVerts;
				numVerts++;
			}

			if (lnode->getSign(c1) == lnode->getSign(c2))
			{
				sc[i] = 0;
			}
			else
			{
				sc[i] = 1;
			}
		}
		else if (node[i]->getType() == 2)
		{
			PseudoLeafNode* pnode = ((PseudoLeafNode*)node[i]);
			ht[i] = pnode->height;
			mp[i][0] = pnode->mp[0];
			mp[i][1] = pnode->mp[1];
			mp[i][2] = pnode->mp[2];

			int ed = processEdgeMask[dir][i];
			int c1 = edgevmap[ed][0];
			int c2 = edgevmap[ed][1];

			if (pnode->height < minht)
			{
				minht = pnode->height;
				mini = i;
				if (pnode->getSign(c1) > 0)
				{
					flip = 1;
				}
				else
				{
					flip = 0;
				}
			}
			ind[i] = pnode->index;
			if (ind[i] < 0)
			{
				// Create new index
				VertexList* nv = new VertexList;
				nv->vt[0] = pnode->mp[0];
				nv->vt[1] = pnode->mp[1];
				nv->vt[2] = pnode->mp[2];
				nv->next = vlist->next;
				vlist->next = nv;
				ind[i] = numVerts;
				pnode->index = numVerts;
				numVerts++;
			}

			if (pnode->getSign(c1) == pnode->getSign(c2))
			{
				sc[i] = 0;
			}
			else
			{
				sc[i] = 1;
			}
		}
		else
		{
			printf("Wrong!\n");
		}
	}

	if (sc[mini] == 0)
	{
		//		printf("I am done!\n" ) ;
		return;
	}

	/************************************************************************/
	/* Performing test                                                      */
	/************************************************************************/

	int fverts[4];
	int hasFverts[4] = { 0, 0, 0, 0 };
	int evert;
	int needTess = 0;
	int location[4];
	int nvert[4] = { 0,0,0,0 };

	// First, face test
	int nbr[4][2] = { {0,1},{1,3},{2,3},{0,2} };
	int fdir[3][4] = {
		{2,1,2,1},
		{0,2,0,2},
		{1,0,1,0} };
	int dir3[3][4][2] = {
		{{1, -1},{2, 0},{1, 0},{2, -1}},
		{{2, -1},{0, 0},{2, 0},{0, -1}},
		{{0, -1},{1, 0},{0, 0},{1, -1}} };

	for (i = 0; i < 4; i++)
	{
		int a = nbr[i][0];
		int b = nbr[i][1];

#ifndef TESS_UNIFORM
		if (ht[a] != ht[b])
#endif
		{
			// Different level, check if the dual edge passes through the face
			if (hash->FindKey(reinterpret_cast<std::intptr_t>(node[a]), reinterpret_cast<std::intptr_t>(node[b]), fverts[i], location[i]))
			{
				// The vertex was found previously
				founds++;
				hasFverts[i] = 1;
				nvert[i] = 0;
				needTess = 1;
			}
			else
			{
				// Otherwise, we test it here
				int sht = (ht[a] > ht[b] ? ht[b] : ht[a]);
				int flen = (1 << sht);
				int fst[3];

				fst[fdir[dir][i]] = st[fdir[dir][i]];
				fst[dir3[dir][i][0]] = st[dir3[dir][i][0]] + flen * dir3[dir][i][1];
				fst[dir] = st[dir] - (st[dir] & ((1 << sht) - 1));

				if (testFace(fst, flen, fdir[dir][i], mp[a], mp[b]) == 0)
				{
					// Dual edge does not pass face, let's make a new vertex
					VertexList* nv = new VertexList;
					nv->vt[0] = 0;
					nv->vt[1] = 0;
					nv->vt[2] = 0;
					nv->next = vlist->next;
					vlist->next = nv;
					fverts[i] = numVerts;
					location[i] = reinterpret_cast<std::intptr_t>(nv);
					nvert[i] = 1;
					numVerts++;

					hash->InsertKey(reinterpret_cast<std::intptr_t>(node[a]), reinterpret_cast<std::intptr_t>(node[b]), fverts[i], location[i]);

					hasFverts[i] = 1;
					needTess = 1;
					news++;
				}
			}
		}
	}

	// Next, edge test
	int diag = 1;
	if (needTess == 0)
	{
		// Even if all dual edges pass through faces, the dual complex of an edge may not be convex
		//int st2[3] = { st[0], st[1], st[2] } ;
		//st2[ dir ] += len ;

		diag = testEdge(st, len, dir, node, mp);
		if (diag == 0)
		{
			// When this happens, we need to create an extra vertex on the primal edge
			needTess = 1;
		}
	}

	float cent[3];
	if (needTess)
	{
		edgeVerts++;
		makeEdgeVertex(st, len, dir, node, mp, cent);

		/* Just take centroid
		int num = 0 ;
		evert[0] = st[0] ;
		evert[1] = st[1] ;
		evert[2] = st[2] ;
		evert[dir] = 0 ;
		for ( i = 0 ; i < 4 ; i ++ )
		{
			evert[dir] += mp[i][dir] ;
			num ++ ;

			if ( hasFverts[ i ] )
			{
				evert[dir] += fverts[i][dir] ;
				num ++ ;
			}
		}
		evert[dir] /= num ;
		*/

		/*
				if ( evert[dir] < st[dir] )
				{
					evert[dir] = st[dir] ;
				}
				else if ( evert[dir] > st[dir] + len )
				{
					evert[dir] = st[dir] + len ;
				}
		*/

		VertexList* nv = new VertexList;
		nv->vt[0] = cent[0];
		nv->vt[1] = cent[1];
		nv->vt[2] = cent[2];
		nv->next = vlist->next;
		vlist->next = nv;
		evert = numVerts;
		numVerts++;
	}

	int flipped[3];
	if (flip == 0)
	{
		for (i = 0; i < 3; i++)
		{
			flipped[i] = i;
		}
	}
	else
	{
		for (i = 0; i < 3; i++)
		{
			flipped[i] = 2 - i;
		}
	}

	// Finally, let's output triangle
	if (needTess == 0)
	{
		// Normal splitting of quad
		if (diag == 1)
		{
			if (node[0] != node[1] && node[1] != node[3])
			{
				int tind1[] = { 0,1,3 };

				numTris++;
				IndexedTriangleList* t1 = new IndexedTriangleList;
				t1->next = tlist->next;
				tlist->next = t1;
				for (int j = 0; j < 3; j++)
				{
					t1->vt[flipped[j]] = ind[tind1[j]];
				}
			}

			if (node[3] != node[2] && node[2] != node[0])
			{
				int tind2[] = { 3,2,0 };

				numTris++;
				IndexedTriangleList* t2 = new IndexedTriangleList;
				t2->next = tlist->next;
				tlist->next = t2;
				for (int j = 0; j < 3; j++)
				{
					t2->vt[flipped[j]] = ind[tind2[j]];
				}
			}
		}
		else
		{
			if (node[0] != node[1] && node[1] != node[2])
			{
				int tind1[] = { 0,1,2 };

				numTris++;
				IndexedTriangleList* t1 = new IndexedTriangleList;
				t1->next = tlist->next;
				tlist->next = t1;
				for (int j = 0; j < 3; j++)
				{
					t1->vt[flipped[j]] = ind[tind1[j]];
				}
			}

			if (node[1] != node[3] && node[3] != node[2])
			{
				int tind2[] = { 1,3,2 };

				numTris++;
				IndexedTriangleList* t2 = new IndexedTriangleList;
				t2->next = tlist->next;
				tlist->next = t2;
				for (int j = 0; j < 3; j++)
				{
					t2->vt[flipped[j]] = ind[tind2[j]];
				}
			}
		}
	}

	else
	{/*
		if ( flip == 1 )
		{
			int tempind[4]={ind[0], ind[2], ind[1], ind[3]};
			OctreeNode* tempnode[4] = {node[0], node[2], node[1], node[3]};
			int tempfverts[4]={fverts[3], fverts[2], fverts[1], fverts[0]};
			int temphasFverts[4]={hasFverts[3], hasFverts[2], hasFverts[1], hasFverts[0]};
			int templocation[4]={location[3], location[2], location[1], location[0]};
			int tempnvert[4]={nvert[3], nvert[2], nvert[1], nvert[0]};

			for ( i = 0 ; i < 4 ; i ++ )
			{
				ind[i] = tempind[i] ;
				node[i] = tempnode[i] ;
				fverts[i] = tempfverts[i] ;
				hasFverts[i] = temphasFverts[i] ;
				location[i] = templocation[i] ;
				nvert[i] = tempnvert[i] ;
			}
		}
		*/
		int nnbr[4][2] = { {0,1},{1,3},{3,2},{2,0} };

		// Center-splitting
		for (i = 0; i < 4; i++)
		{
			int a = nnbr[i][0];
			int b = nnbr[i][1];

			if (hasFverts[i])
			{
				// Further split each triangle into two
				numTris += 2;

				IndexedTriangleList* t = new IndexedTriangleList;
				t->next = tlist->next;
				tlist->next = t;
				t->vt[flipped[0]] = ind[a];
				t->vt[flipped[1]] = fverts[i];
				t->vt[flipped[2]] = evert;

				t = new IndexedTriangleList;
				t->next = tlist->next;
				tlist->next = t;
				t->vt[flipped[0]] = evert;
				t->vt[flipped[1]] = fverts[i];
				t->vt[flipped[2]] = ind[b];

				// Update geometric location of the face vertex
				VertexList* nv = ((VertexList*)location[i]);
				if (nvert[i])
				{
					nv->vt[0] = cent[0];
					nv->vt[1] = cent[1];
					nv->vt[2] = cent[2];
				}
				else
				{
					nv->vt[0] = (nv->vt[0] + cent[0]) / 2;
					nv->vt[1] = (nv->vt[1] + cent[1]) / 2;
					nv->vt[2] = (nv->vt[2] + cent[2]) / 2;
				}
			}
			else
			{
				// For one triangle with center vertex
				if (node[a] != node[b])
				{
					numTris++;
					IndexedTriangleList* t = new IndexedTriangleList;
					t->next = tlist->next;
					tlist->next = t;
					t->vt[flipped[0]] = ind[a];
					t->vt[flipped[1]] = ind[b];
					t->vt[flipped[2]] = evert;
				}
			}
		}
	}
	//		printf("I am done!\n" ) ;
};