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//#include "tgeometry.h"

#include <set>
#include <map>

#include "tgl.h"
#include "tstroke.h"
//#include "tstrokeoutline.h"
#include "tcurveutil.h"
//#include "drawutil.h"
#include "tvectorimage.h"

#ifdef _WIN32
#include <crtdbg.h>
#include <Windows.h>
#endif

#include "tsweepboundary.h"
#include "tcurves.h"

// Some using declaration
using namespace std;

inline bool operator<(const TPointD &a, const TPointD &b)
{
	if (a.x < b.x)
		return true;
	else if (a.x > b.x)
		return false;
	else if (a.y < b.y)
		return true;
	else if (a.y > b.y)
		return false;
	else
		return true;
}

namespace
{
const double delta = 0.000001;
const double zero = delta;
const double one = 1 - delta;
const double thicknessLimit = 0.3;
const double nonSimpleLoopsMaxDistance = 0.5;
const int nonSimpleLoopsMaxSize = 5;
const int smallStrokeDim = nonSimpleLoopsMaxSize * 5;
bool isSmallStroke = false;

set<TPointD> simpleCrossing;
set<TPointD> nonSimpleCrossing;

class LinkedQuadratic : public TQuadratic
{
public:
	LinkedQuadratic *prev, *next;
	LinkedQuadratic() : TQuadratic(), prev(0), next(0){};
	LinkedQuadratic(const TPointD &p0, const TPointD &p1, const TPointD &p2)
		: TQuadratic(p0, p1, p2), prev(0), next(0) {}
	LinkedQuadratic(TQuadratic &Quadratic)
		: TQuadratic(Quadratic),
		  prev(0), next(0) {}
};

typedef enum Direction {
	inward = 0,
	outward = 1,
	deletedInward = 2,
	deletedOutward = 3
};

/*
	class CompareOutlines {
	public:
		bool operator()(const vector<TQuadratic*> &v1,
						const vector<TQuadratic*> &v2)
		{
			if(v1.empty()) return false;
			else if(v2.empty()) return true;
			else return v1[0]->getBBox().y1 > v2[0]->getBBox().y1;
		}
	};

	class CompareQuadratics {
	public:
		bool operator()(TQuadratic *const q1,
						TQuadratic *const q2)
		{
			if (q1->getBBox().y1 > q2->getBBox().y1) return true;
			else if (q1->getBBox().y1 < q2->getBBox().y1) return false;
			else if (q1->getBBox().x1 > q2->getBBox().x1) return true;
			else if (q1->getBBox().x1 < q2->getBBox().x1) return false;
			else return false;
		}
	};
*/
class CompareLinkedQuadratics
{
public:
	bool operator()(const LinkedQuadratic &q1,
					const LinkedQuadratic &q2)
	{
		if (q1.getBBox().y1 > q2.getBBox().y1)
			return true;
		else if (q1.getBBox().y1 < q2.getBBox().y1)
			return false;
		else if (q1.getBBox().x1 > q2.getBBox().x1)
			return true;
		else if (q1.getBBox().x1 < q2.getBBox().x1)
			return false;
		else
			return false;
	}
};

class CompareBranches
{
public:
	bool operator()(const pair<LinkedQuadratic *, Direction> &b1,
					const pair<LinkedQuadratic *, Direction> &b2)
	{
		TPointD p1, p2;
		if (b1.second == inward) {
			p1 = b1.first->getP1() - b1.first->getP2();
		} else //(b1.second == outward)
		{
			p1 = b1.first->getP1() - b1.first->getP0();
		}

		if (b2.second == inward) {
			p2 = b2.first->getP1() - b2.first->getP2();
		} else //(b1.second == outward)
		{
			p2 = b2.first->getP1() - b2.first->getP0();
		}

		double alpha1, alpha2;

		if (p1.x > 0)
			alpha1 = -p1.y / sqrt(norm2(p1));
		else if (p1.x < 0)
			alpha1 = 2 + p1.y / sqrt(norm2(p1));
		else //(p1.x = 0)
		{
			if (p1.y > 0)
				alpha1 = -1;
			else if (p1.y < 0)
				alpha1 = 1;
			else
				assert(true);
		}

		if (p2.x > 0)
			alpha2 = -p2.y / sqrt(norm2(p2));
		else if (p2.x < 0)
			alpha2 = 2 + p2.y / sqrt(norm2(p2));
		else //(p2.x = 0)
		{
			if (p2.y > 0)
				alpha2 = -1;
			else if (p2.y < 0)
				alpha2 = 1;
			else
				assert(true);
		}

		if (alpha2 - alpha1 > 0)
			return true;
		else if (alpha2 - alpha1 < 0)
			return false;
		else
			return false;
	}
};

typedef list<LinkedQuadratic> LinkedQuadraticList;
typedef list<TQuadratic> QuadraticList;
} //namespace {

//---------------------------------------------------------------------------

void splitCircularArcIntoQuadraticCurves(const TPointD &Center,
										 const TPointD &Pstart,
										 const TPointD &Pend,
										 vector<TQuadratic *> &quadArray)
{
	// It splits a circular anticlockwise arc into a sequence of quadratic bezier curves
	// Every quadratic curve can approximate an arc no longer than 45 degrees (or 60).
	// It supposes that Pstart and Pend are onto the circumference (so that their lengths
	// are equal to tha radius of the circumference), otherwise the resulting curves could
	// be unpredictable.
	// The last component in quadCurve[] is an ending void curve

	/* 
---------------------------------------------------------------------------------- 
*/
	// If you want to split the arc into arcs no longer than 45 degrees (so that the whole
	// curve will be splitted into 8 pieces) you have to set these constants as follows:
	// cos_ang     ==> cos_45   = 0.5 * sqrt(2);
	// sin_ang     ==> sin_45   = 0.5 * sqrt(2);
	// tan_semiang ==> tan_22p5 = 0.4142135623730950488016887242097;
	// N_QUAD                   = 8;

	// If you want to split the arc into arcs no longer than 60 degrees (so that the whole
	// curve will be splitted into 6 pieces) you have to set these constants as follows:
	// cos_ang     ==> cos_60 = 0.5;
	// sin_ang     ==> sin_60 = 0.5 * sqrt(3);
	// tan_semiang ==> tan_30 = 0.57735026918962576450914878050196;
	// N_QUAD                 = 6;
	/* 
---------------------------------------------------------------------------------- 
*/

	// Defines some useful constant to split the arc into arcs no longer than 'ang' degrees
	// (the whole circumference will be splitted into 360/ang quadratic curves).
	const double cos_ang = 0.5 * sqrt(2.);
	const double sin_ang = 0.5 * sqrt(2.);
	const double tan_semiang = 0.4142135623730950488016887242097;
	const int N_QUAD = 8; // it's 360/ang

	// First of all, it computes the vectors from the center to the circumference,
	// in Pstart and Pend, and their cross and dot products
	TPointD Rstart = Pstart - Center;		 // its length is R (radius of the circle)
	TPointD Rend = Pend - Center;			 // its length is R (radius of the circle)
	double cross_prod = cross(Rstart, Rend); // it's Rstart x Rend
	double dot_prod = Rstart * Rend;
	const double sqr_radius = Rstart * Rstart;
	TPointD aliasPstart = Pstart;
	TQuadratic *quad;

	while ((cross_prod <= 0) || (dot_prod <= cos_ang * sqr_radius)) // the circular arc is longer
																	// than a 'ang' degrees arc
	{
		if (quadArray.size() == (UINT)N_QUAD) // this is possible if Pstart or Pend is not onto the circumference
			return;
		TPointD Rstart_rot_ang(cos_ang * Rstart.x - sin_ang * Rstart.y,
							   sin_ang * Rstart.x + cos_ang * Rstart.y);
		TPointD Rstart_rot_90(-Rstart.y, Rstart.x);
		quad = new TQuadratic(aliasPstart,
							  aliasPstart + tan_semiang * Rstart_rot_90,
							  Center + Rstart_rot_ang);
		quadArray.push_back(quad);

		// quad->computeMinStepAtNormalSize ();

		// And moves anticlockwise the starting point on the circumference by 'ang' degrees
		Rstart = Rstart_rot_ang;
		aliasPstart = quad->getP2();
		cross_prod = cross(Rstart, Rend); // it's Rstart x Rend
		dot_prod = Rstart * Rend;

		// after the rotation of 'ang' degrees, the remaining part of the arc could be a 0 degree
		// arc, so it must stop and exit from the function
		if ((cross_prod <= 0) && (dot_prod > 0.95 * sqr_radius))
			return;
	}

	if ((cross_prod > 0) && (dot_prod > 0)) // the last quadratic curve approximates an arc shorter than a 'ang' degrees arc
	{
		TPointD Rstart_rot_90(-Rstart.y, Rstart.x);

		double deg_index = (sqr_radius - dot_prod) / (sqr_radius + dot_prod);

		quad = new TQuadratic(aliasPstart, (deg_index < 0) ? 0.5 * (aliasPstart + Pend) : aliasPstart + sqrt(deg_index) * Rstart_rot_90, Pend);
		quadArray.push_back(quad);

	} else // the last curve, already computed, is as long as a 'ang' degrees arc
		quadArray.back()->setP2(Pend);
}

inline bool left(const TPointD &a, const TPointD &b, const TPointD &c)
{
	double area = (b.x - a.x) * (c.y - a.y) - (c.x - a.x) * (b.y - a.y);
	return area > 0;
}

inline bool right(const TPointD &a, const TPointD &b, const TPointD &c)
{
	double area = (b.x - a.x) * (c.y - a.y) - (c.x - a.x) * (b.y - a.y);
	return area < 0;
}

inline bool collinear(const TPointD &a, const TPointD &b, const TPointD &c)
{
	double area = (b.x - a.x) * (c.y - a.y) - (c.x - a.x) * (b.y - a.y);
	return area == 0;
}

void computeStrokeBoundary(const TStroke &stroke, LinkedQuadraticList &inputBoundaries, unsigned int &chunkIndex);
void normalizeTThickQuadratic(const TThickQuadratic *&sourceThickQuadratic, TThickQuadratic &tempThickQuadratic);
inline void normalizeTQuadratic(TQuadratic *&sourceQuadratic);
void getBoundaryPoints(const TPointD &P0,
					   const TPointD &P1,
					   const TThickPoint &center,
					   TPointD &fwdPoint,
					   TPointD &rwdPoint);
void getAverageBoundaryPoints(const TPointD &P0,
							  const TThickPoint &center,
							  const TPointD &P2,
							  TPointD &fwdPoint,
							  TPointD &rwdPoint);
void linkQuadraticList(LinkedQuadraticList &inputBoundaries);
void computeInputBoundaries(LinkedQuadraticList &inputBoundaries);
void processAdjacentQuadratics(LinkedQuadraticList &inputBoundaries);
void findIntersections(LinkedQuadratic *quadratic,
					   set<LinkedQuadratic *> &intersectionWindow,
					   map<LinkedQuadratic *,
						   vector<double>> &intersectedQuadratics);
void refreshIntersectionWindow(LinkedQuadratic *quadratic, set<LinkedQuadratic *> &intersectionWindow);
void segmentate(LinkedQuadraticList &inputBoundaries, LinkedQuadratic *thickQuadratic, vector<double> &splitPoints);
void processIntersections(LinkedQuadraticList &intersectionBoundary);
bool processNonSimpleLoops(TPointD &intersectionPoint, vector<pair<LinkedQuadratic *, Direction>> &crossing);
bool deleteUnlinkedLoops(LinkedQuadraticList &inputBoundaries);
bool getOutputOutlines(LinkedQuadraticList &inputBoundaries, vector<TStroke *> &sweepStrokes);
void removeFalseHoles(const vector<TStroke *> &strokes);

inline void TraceLinkedQuadraticList(LinkedQuadraticList &quadraticList)
{
#ifdef _WIN32
	_RPT0(_CRT_WARN,
		  "\n__________________________________________________\n");
	LinkedQuadraticList::iterator it = quadraticList.begin();
	while (it != quadraticList.end()) {
		_RPT4(_CRT_WARN,
			  "\nP0( %f, %f)   P2( %f, %f)",
			  it->getP0().x,
			  it->getP0().y,
			  it->getP2().x,
			  it->getP2().y);
		_RPT3(_CRT_WARN,
			  " currAddress = %p, nextAddress = %p prevAddress = %p\n",
			  &(*it),
			  it->next,
			  it->prev);
		++it;
	}
#endif
}

inline void drawPointSquare(const TPointD &point, double R, double G, double B)
{
#define SQUARE_DIM 0.04
	glBegin(GL_LINE_LOOP);
	glColor3d(R, G, B);
	glVertex2d(point.x + SQUARE_DIM, point.y + SQUARE_DIM);
	glVertex2d(point.x + SQUARE_DIM, point.y - SQUARE_DIM);
	glVertex2d(point.x - SQUARE_DIM, point.y - SQUARE_DIM);
	glVertex2d(point.x - SQUARE_DIM, point.y + SQUARE_DIM);
	glEnd();
}

inline void drawPointCross(const TPointD &point, double R, double G, double B)
{
#define CROSS_DIM 0.04
	glBegin(GL_LINES);
	glColor3d(R, G, B);
	glVertex2d(point.x - CROSS_DIM, point.y - CROSS_DIM);
	glVertex2d(point.x + CROSS_DIM, point.y + CROSS_DIM);
	glVertex2d(point.x + CROSS_DIM, point.y - CROSS_DIM);
	glVertex2d(point.x - CROSS_DIM, point.y + CROSS_DIM);
	glEnd();
}

//-------------------------------------------------------------------

TStroke *getOutStroke(LinkedQuadraticList &inputBoundaries)
{
	vector<TPointD> aux;
	LinkedQuadraticList::iterator it = inputBoundaries.begin();

	aux.push_back(inputBoundaries.front().getP0());
	for (; it != inputBoundaries.end(); ++it)

	{
		//if (tdistance2(aux.back(), it->getP2())>0.25)
		{
			aux.push_back(it->getP1());
			aux.push_back(it->getP2());
		}
		//inputBoundaries.remove(*it);
	}
	return new TStroke(aux);
}

//-------------------------------------------------------------------

inline bool getOutputOutlines(LinkedQuadraticList &inputBoundaries, vector<TStroke *> &sweepStrokes)
{
	//int count=0;

	while (!inputBoundaries.empty()) {
		//outputOutlines.push_back(TFlash::Polyline());
		vector<TPointD> v;
		LinkedQuadraticList::iterator it = inputBoundaries.begin();
		//std::advance(it, count+1);
		LinkedQuadratic *first = &(*it);
		LinkedQuadratic *toRemove, *current = first;
		v.push_back(current->getP0());
		do {
			//if (tdistance2(v.back(), current->getP2())>0.25)
			{
				v.push_back(current->getP1());
				v.push_back(current->getP2());
			}
			//count++;
			//outputOutlines.back().m_quads.push_back(new TQuadratic(*current));
			toRemove = current;
			current = current->next;
			inputBoundaries.remove(*toRemove);

			//			assert(current);
			if (!current) {
				inputBoundaries.clear();
				//				outputOutlines.pop_back();
				return false;
			}

		} while (current != first && !inputBoundaries.empty());
		sweepStrokes.push_back(new TStroke(v));
		//		sort(outputOutlines[count].begin(), outputOutlines[count].end(), CompareQuadratics());
	}
	inputBoundaries.clear();
	return true;
}

//-------------------------------------------------------------------

bool computeBoundaryStroke(const TStroke &_stroke, vector<TStroke *> &sweepStrokes)
{
	//if(!outlines.empty()) return false;

	TStroke *oriStroke = const_cast<TStroke *>(&_stroke);
	TStroke *stroke = oriStroke;
	for (int i = 0; i < stroke->getControlPointCount(); i++) {
		TThickPoint p = stroke->getControlPoint(i);
		//se ci sono punti a spessore nullo, viene male il boundary.
		if (areAlmostEqual(p.thick, 0, 1e-8)) {
			if (stroke == oriStroke)
				stroke = new TStroke(_stroke);
			stroke->setControlPoint(i, TThickPoint(p.x, p.y, 0.0001));
		}
	}

	unsigned int chunkIndex = 0;
	while (chunkIndex < (UINT)stroke->getChunkCount()) {
		LinkedQuadraticList tempBoundary;
		LinkedQuadraticList inputBoundaries;
		simpleCrossing.clear();
		nonSimpleCrossing.clear();
		isSmallStroke = false;

		computeStrokeBoundary(*stroke, inputBoundaries, chunkIndex);
		inputBoundaries.sort(CompareLinkedQuadratics());

		computeInputBoundaries(inputBoundaries);
		if (!deleteUnlinkedLoops(inputBoundaries))
			return false;
		if (!getOutputOutlines(inputBoundaries, sweepStrokes))
			return false;
		//TStroke *sout = getOutStroke(inputBoundaries);
		//sweepStrokes.push_back(sout);

		//if(!getOutputOutlines(inputBoundaries, outlines)) return false;
	}

	if (stroke != &_stroke)
		delete stroke;
	return true;
}

//-------------------------------------------------------------------

inline void computeStrokeBoundary(const TStroke &stroke, LinkedQuadraticList &inputBoundaries, unsigned int &chunkIndex)
{
	unsigned int chunkCount = stroke.getChunkCount();
	assert(chunkCount - chunkIndex > 0);

	if ((int)(chunkCount - chunkIndex) <= smallStrokeDim)
		isSmallStroke = true;

	unsigned int startIndex = chunkIndex;
	const TThickQuadratic *thickQuadratic = 0, *nextThickQuadratic = 0;
	TThickQuadratic tempThickQuadratic, tempNextThickQuadratic;

	TPointD fwdP0, fwdP1, fwdP2;
	TPointD rwdP0, rwdP1, rwdP2;
	TPointD nextFwdP0, nextRwdP2;

	thickQuadratic = stroke.getChunk(chunkIndex);
	while (thickQuadratic->getP0() == thickQuadratic->getP2()) {
		double thickness;
		thickness = tmax(thickQuadratic->getThickP0().thick,
						 thickQuadratic->getThickP1().thick,
						 thickQuadratic->getThickP2().thick);

		++chunkIndex;
		if (chunkIndex == chunkCount) {
			vector<TQuadratic *> quadArray;
			double thickness = tmax(thickQuadratic->getThickP0().thick,
									thickQuadratic->getThickP1().thick,
									thickQuadratic->getThickP2().thick);

			if (thickness < thicknessLimit)
				thickness = thicknessLimit;

			TPointD center = thickQuadratic->getP0();
			TPointD diameterStart = thickQuadratic->getP0();
			diameterStart.y += thickness;
			TPointD diameterEnd = thickQuadratic->getP0();
			diameterEnd.y -= thickness;

			splitCircularArcIntoQuadraticCurves(center, diameterStart, diameterEnd, quadArray);
			unsigned int i = 0;
			for (; i < quadArray.size(); ++i) {
				assert(!(quadArray[i]->getP0() == quadArray[i]->getP2()));
				normalizeTQuadratic(quadArray[i]);
				inputBoundaries.push_back(*quadArray[i]);
				delete quadArray[i];
			}
			quadArray.clear();

			splitCircularArcIntoQuadraticCurves(center, diameterEnd, diameterStart, quadArray);
			for (i = 0; i < quadArray.size(); ++i) {
				assert(!(quadArray[i]->getP0() == quadArray[i]->getP2()));
				normalizeTQuadratic(quadArray[i]);
				inputBoundaries.push_back(*quadArray[i]);
				delete quadArray[i];
			}
			quadArray.clear();

			linkQuadraticList(inputBoundaries);
			return;
		}
		thickQuadratic = stroke.getChunk(chunkIndex);
	}

	normalizeTThickQuadratic(thickQuadratic, tempThickQuadratic);
	getBoundaryPoints(thickQuadratic->getP0(),
					  thickQuadratic->getP1(),
					  thickQuadratic->getThickP0(),
					  fwdP0,
					  rwdP2);

	if (!(rwdP2 == fwdP0)) {
		//		inputBoundaries.push_front(TQuadratic(rwdP2, (rwdP2+fwdP0)*0.5, fwdP0));
		vector<TQuadratic *> quadArray;
		splitCircularArcIntoQuadraticCurves((rwdP2 + fwdP0) * 0.5, rwdP2, fwdP0, quadArray);
		for (unsigned int i = 0; i < quadArray.size(); ++i) {
			if (!(quadArray[i]->getP0() == quadArray[i]->getP2())) {
				normalizeTQuadratic(quadArray[i]);
				inputBoundaries.push_back(*quadArray[i]);
			}
			delete quadArray[i];
		}
		quadArray.clear();
	}

	for (/*chunkIndex*/; chunkIndex < chunkCount; ++chunkIndex) {
		thickQuadratic = stroke.getChunk(chunkIndex);
		while (thickQuadratic->getP0() == thickQuadratic->getP2()) {
			++chunkIndex;
			if (chunkIndex == chunkCount)
				break;
			thickQuadratic = stroke.getChunk(chunkIndex);
		}
		if (chunkIndex >= chunkCount - 1) {
			chunkIndex = chunkCount;
			break;
		}

		unsigned int nextChunkIndex = chunkIndex + 1;
		nextThickQuadratic = stroke.getChunk(nextChunkIndex);
		while (nextThickQuadratic->getP0() == nextThickQuadratic->getP2()) {
			++nextChunkIndex;
			if (nextChunkIndex == chunkCount) {
				chunkIndex = chunkCount;
				break;
			}
			nextThickQuadratic = stroke.getChunk(nextChunkIndex);
		}
		if (nextChunkIndex == chunkCount) {
			chunkIndex = chunkCount;
			break;
		}

		if (thickQuadratic->getP0() == nextThickQuadratic->getP2() &&
			thickQuadratic->getP2() == nextThickQuadratic->getP0()) {
			chunkIndex = nextChunkIndex;
			continue;
		}

		if (chunkIndex == startIndex + 2 &&
			norm(stroke.getChunk(startIndex)->getP0() - stroke.getChunk(chunkCount - 1)->getP2()) <
				stroke.getChunk(startIndex)->getThickP0().thick / 2) {
			++chunkIndex;
			break;
		}

		normalizeTThickQuadratic(thickQuadratic, tempThickQuadratic);
		normalizeTThickQuadratic(nextThickQuadratic, tempNextThickQuadratic);

		vector<DoublePair> intersections;
		TQuadratic quadratic(thickQuadratic->getP0(), thickQuadratic->getP1(), thickQuadratic->getP2());
		TQuadratic nextQuadratic(nextThickQuadratic->getP0(), nextThickQuadratic->getP1(), nextThickQuadratic->getP2());

		if (intersect(quadratic, nextQuadratic, intersections) > 1) {
			double currSplit = 1, nextSplit = 0;
			for (unsigned int i = 0; i < intersections.size(); ++i) {
				if (currSplit > intersections[i].first)
					currSplit = intersections[i].first;
				if (nextSplit < intersections[i].second)
					nextSplit = intersections[i].second;
			}
			if (currSplit < one && nextSplit > zero &&
				currSplit > 0.5 && nextSplit < 0.5) {
				TQuadratic firstSplit, secondSplit;

				quadratic.split(currSplit, firstSplit, secondSplit);
				const_cast<TThickQuadratic *>(thickQuadratic)->setP1(firstSplit.getP1());
				const_cast<TThickQuadratic *>(thickQuadratic)->setP2(firstSplit.getP2());

				nextQuadratic.split(nextSplit, firstSplit, secondSplit);
				const_cast<TThickQuadratic *>(nextThickQuadratic)->setP0(secondSplit.getP0());
				const_cast<TThickQuadratic *>(nextThickQuadratic)->setP1(secondSplit.getP1());
			}
		}

		getAverageBoundaryPoints(thickQuadratic->getP0(),
								 thickQuadratic->getThickP1(),
								 thickQuadratic->getP2(),
								 fwdP1,
								 rwdP1);

		getBoundaryPoints(thickQuadratic->getP1(),
						  thickQuadratic->getP2(),
						  thickQuadratic->getThickP2(),
						  fwdP2,
						  rwdP0);
		getBoundaryPoints(thickQuadratic->getP2(),
						  nextThickQuadratic->getP1(),
						  thickQuadratic->getThickP2(),
						  nextFwdP0,
						  nextRwdP2);

		TPointD v1 = thickQuadratic->getP2() - thickQuadratic->getP1();
		TPointD v2 = nextThickQuadratic->getP1() - nextThickQuadratic->getP0();

		if ((v1 * v2) / (norm(v1) * norm(v2)) < -0.95) {
			++chunkIndex;
			break;
		}
		if (nextFwdP0 == fwdP2 && nextRwdP2 == rwdP0) {
			inputBoundaries.push_front(LinkedQuadratic(rwdP0, rwdP1, rwdP2));
			inputBoundaries.push_back(LinkedQuadratic(fwdP0, fwdP1, fwdP2));
			fwdP0 = fwdP2;
			rwdP2 = rwdP0;
		} else if (!(nextFwdP0 == fwdP2) && !(nextRwdP2 == rwdP0)) {
			bool turnLeft, turnRight;
			turnLeft = left(thickQuadratic->getP1(), thickQuadratic->getP2(), nextThickQuadratic->getP1());
			turnRight = right(thickQuadratic->getP1(), thickQuadratic->getP2(), nextThickQuadratic->getP1());
			if (turnLeft) {
				double thickness = thickQuadratic->getThickP2().thick;
				if (thickness < thicknessLimit)
					thickness = thicknessLimit;

				TPointD temp;
				if (rwdP0 + nextRwdP2 - 2 * thickQuadratic->getP2() != TPointD(0, 0)) {
					temp = (normalize(rwdP0 + nextRwdP2 - 2 * thickQuadratic->getP2()) * thickness) +
						   thickQuadratic->getP2();
				} else
					temp = TPointD(0, 0);

				inputBoundaries.push_front(LinkedQuadratic(temp, rwdP1, rwdP2));
				inputBoundaries.push_back(LinkedQuadratic(fwdP0, fwdP1, fwdP2));

				vector<TQuadratic *> quadArray;
				splitCircularArcIntoQuadraticCurves(thickQuadratic->getP2(), fwdP2, nextFwdP0, quadArray);
				for (unsigned int i = 0; i < quadArray.size(); ++i) {
					if (!(quadArray[i]->getP0() == quadArray[i]->getP2())) {
						normalizeTQuadratic(quadArray[i]);
						inputBoundaries.push_back(*quadArray[i]);
					}
					delete quadArray[i];
				}
				quadArray.clear();

				fwdP0 = nextFwdP0;
				rwdP2 = temp;
			} else if (turnRight) {
				double thickness = thickQuadratic->getThickP2().thick;
				if (thickness < thicknessLimit)
					thickness = thicknessLimit;

				TPointD temp;
				if (fwdP2 + nextFwdP0 - 2 * thickQuadratic->getP2() != TPointD(0, 0)) {
					temp = (normalize(fwdP2 + nextFwdP0 - 2 * thickQuadratic->getP2()) * thickness) +
						   thickQuadratic->getP2();
				} else
					temp = TPointD(0, 0);

				inputBoundaries.push_front(LinkedQuadratic(rwdP0, rwdP1, rwdP2));
				inputBoundaries.push_back(LinkedQuadratic(fwdP0, fwdP1, temp));

				vector<TQuadratic *> quadArray;
				splitCircularArcIntoQuadraticCurves(thickQuadratic->getP2(), nextRwdP2, rwdP0, quadArray);
				for (int i = quadArray.size() - 1; i >= 0; --i) {
					if (!(quadArray[i]->getP0() == quadArray[i]->getP2())) {
						normalizeTQuadratic(quadArray[i]);
						inputBoundaries.push_front(*quadArray[i]);
					}
					delete quadArray[i];
				}
				quadArray.clear();

				fwdP0 = temp;
				rwdP2 = nextRwdP2;
			} else if (nextFwdP0 == rwdP0 && nextRwdP2 == fwdP2) {
				++chunkIndex;
				break;

				//				assert(collinear(thickQuadratic->getP0(),
				//								thickQuadratic->getP2(),
				//								nextThickQuadratic->getP2()));

				if (!collinear(
						thickQuadratic->getP0(),
						thickQuadratic->getP2(),
						nextThickQuadratic->getP2())) {
					inputBoundaries.push_back(LinkedQuadratic(fwdP0, fwdP1, fwdP2));
					inputBoundaries.push_front(LinkedQuadratic(thickQuadratic->getP2(), rwdP1, rwdP2));

					vector<TQuadratic *> quadArray;
					splitCircularArcIntoQuadraticCurves(thickQuadratic->getP2(), fwdP2, nextFwdP0, quadArray);
					for (unsigned int i = 0; i < quadArray.size(); ++i) {
						if (!(quadArray[i]->getP0() == quadArray[i]->getP2())) {
							normalizeTQuadratic(quadArray[i]);
							inputBoundaries.push_back(*quadArray[i]);
						}
						delete quadArray[i];
					}
					quadArray.clear();

					fwdP0 = nextFwdP0;
					rwdP2 = thickQuadratic->getP2();
				} else if (left(thickQuadratic->getP0(),
								thickQuadratic->getP1(),
								nextThickQuadratic->getP2())) {
					inputBoundaries.push_back(LinkedQuadratic(fwdP0, fwdP1, fwdP2));
					vector<TQuadratic *> quadArray;
					splitCircularArcIntoQuadraticCurves(thickQuadratic->getP2(), fwdP2, nextFwdP0, quadArray);
					for (unsigned int i = 0; i < quadArray.size(); ++i) {
						if (!(quadArray[i]->getP0() == quadArray[i]->getP2())) {
							normalizeTQuadratic(quadArray[i]);
							inputBoundaries.push_back(*quadArray[i]);
						}
						delete quadArray[i];
					}
					quadArray.clear();
					fwdP0 = nextFwdP0;
					rwdP2 = rwdP0;
				} else if (right(thickQuadratic->getP0(),
								 thickQuadratic->getP1(),
								 nextThickQuadratic->getP2())) {
					inputBoundaries.push_front(LinkedQuadratic(rwdP0, rwdP1, rwdP2));
					vector<TQuadratic *> quadArray;
					splitCircularArcIntoQuadraticCurves(thickQuadratic->getP2(), fwdP2, nextFwdP0, quadArray);
					for (int i = quadArray.size() - 1; i >= 0; --i) {
						if (!(quadArray[i]->getP0() == quadArray[i]->getP2())) {
							normalizeTQuadratic(quadArray[i]);
							inputBoundaries.push_front(*quadArray[i]);
						}
						delete quadArray[i];
					}
					quadArray.clear();
					fwdP0 = fwdP2;
					rwdP2 = nextRwdP2;
				} else {
					//					inputBoundaries.push_back(TQuadratic(fwdP0, fwdP1, fwdP2));
					//					inputBoundaries.push_front(TQuadratic(rwdP0, rwdP1, rwdP2));
					//					fwdP0 = nextFwdP0;
					//					rwdP2 = nextRwdP2;
					++chunkIndex;
					break;
				}
			} else
				assert(false);
		} else
			assert(false);
	}

	normalizeTThickQuadratic(thickQuadratic, tempThickQuadratic);

	//	if(	stroke->getChunk(0)->getP0() == stroke->getChunk(chunkCount-1)->getP2() )
	/*	if(	norm(stroke->getChunk(0)->getP0() - stroke->getChunk(chunkCount-1)->getP2()) <
		stroke->getChunk(0)->getThickP0().thick/2)
	{
		getAverageBoundaryPoints(thickQuadratic->getP0(),
					thickQuadratic->getThickP1(),
					thickQuadratic->getP2(),
					fwdP1,
					rwdP1);

		getBoundaryPoints(thickQuadratic->getP1(),
						thickQuadratic->getP2(),
						thickQuadratic->getThickPoint(one),
						fwdP2,
						rwdP0);

		inputBoundaries.push_front(TQuadratic(rwdP0, rwdP1, rwdP2));
		inputBoundaries.push_back(TQuadratic(fwdP0, fwdP1, fwdP2));
		inputBoundaries.push_back(TQuadratic(fwdP2, (fwdP2+rwdP0)*0.5, rwdP0));
	}
	else
*/ {
		getAverageBoundaryPoints(thickQuadratic->getP0(),
								 thickQuadratic->getThickP1(),
								 thickQuadratic->getP2(),
								 fwdP1,
								 rwdP1);

		getBoundaryPoints(thickQuadratic->getP1(),
						  thickQuadratic->getP2(),
						  thickQuadratic->getThickP2(),
						  fwdP2,
						  rwdP0);

		inputBoundaries.push_front(LinkedQuadratic(rwdP0, rwdP1, rwdP2));
		inputBoundaries.push_back(LinkedQuadratic(fwdP0, fwdP1, fwdP2));

		if (!(fwdP2 == rwdP0)) {
			vector<TQuadratic *> quadArray;
			splitCircularArcIntoQuadraticCurves((fwdP2 + rwdP0) * 0.5, fwdP2, rwdP0, quadArray);
			for (unsigned int i = 0; i < quadArray.size(); ++i) {
				if (!(quadArray[i]->getP0() == quadArray[i]->getP2())) {
					normalizeTQuadratic(quadArray[i]);
					inputBoundaries.push_back(*quadArray[i]);
				}
				delete quadArray[i];
			}
			quadArray.clear();
		}
	}

	linkQuadraticList(inputBoundaries);
}

//-------------------------------------------------------------------

inline void normalizeTThickQuadratic(const TThickQuadratic *&sourceThickQuadratic, TThickQuadratic &tempThickQuadratic)
{
	assert(!(sourceThickQuadratic->getP0() == sourceThickQuadratic->getP2()));
	if (sourceThickQuadratic->getP0() == sourceThickQuadratic->getP1() ||
		sourceThickQuadratic->getP1() == sourceThickQuadratic->getP2() ||
		collinear(sourceThickQuadratic->getP0(),
				  sourceThickQuadratic->getP1(),
				  sourceThickQuadratic->getP2())) {
		tempThickQuadratic = *sourceThickQuadratic;
		TThickPoint middleThickPoint((sourceThickQuadratic->getP0() + sourceThickQuadratic->getP2()) * 0.5);
		middleThickPoint.thick = tempThickQuadratic.getThickP1().thick;
		tempThickQuadratic.setThickP1(middleThickPoint);
		sourceThickQuadratic = &tempThickQuadratic;
	}
}

inline void normalizeTQuadratic(TQuadratic *&sourceQuadratic)
{
	assert(!(sourceQuadratic->getP0() == sourceQuadratic->getP2()));
	if (sourceQuadratic->getP0() == sourceQuadratic->getP1() ||
		sourceQuadratic->getP1() == sourceQuadratic->getP2() ||
		collinear(sourceQuadratic->getP0(),
				  sourceQuadratic->getP1(),
				  sourceQuadratic->getP2())) {
		TPointD middleThickPoint((sourceQuadratic->getP0() + sourceQuadratic->getP2()) * 0.5);
		sourceQuadratic->setP1(middleThickPoint);
	}
}

//-------------------------------------------------------------------

inline void getBoundaryPoints(const TPointD &P0, const TPointD &P1, const TThickPoint &center, TPointD &fwdPoint, TPointD &rwdPoint)
{
	double thickness = center.thick;
	if (thickness < thicknessLimit)
		thickness = thicknessLimit;
	//	if(P1.y == P0.y)
	if (fabs(P1.y - P0.y) <= 1e-12) {
		if (P1.x - P0.x > 0) {
			fwdPoint.x = center.x;
			fwdPoint.y = center.y - thickness;
			rwdPoint.x = center.x;
			rwdPoint.y = center.y + thickness;
		} else if (P1.x - P0.x < 0) {
			fwdPoint.x = center.x;
			fwdPoint.y = center.y + thickness;
			rwdPoint.x = center.x;
			rwdPoint.y = center.y - thickness;
		} else
			assert(false);
	} else {
		double m = -(P1.x - P0.x) / (P1.y - P0.y);

		fwdPoint.x = center.x + (thickness) / sqrt(1 + m * m);
		fwdPoint.y = center.y + m * (fwdPoint.x - center.x);

		rwdPoint.x = center.x - (thickness) / sqrt(1 + m * m);
		rwdPoint.y = center.y + m * (rwdPoint.x - center.x);

		assert(!collinear(P0, P1, rwdPoint));

		if (left(P0, P1, rwdPoint))
			return;
		else {
			TPointD temp = fwdPoint;
			fwdPoint = rwdPoint;
			rwdPoint = temp;
		}
	}
}

//-------------------------------------------------------------------

inline void getAverageBoundaryPoints(const TPointD &P0, const TThickPoint &center, const TPointD &P2, TPointD &fwdPoint, TPointD &rwdPoint)
{
	TPointD fwdP0, fwdP2;
	TPointD rwdP0, rwdP2;

	getBoundaryPoints(P0, center, center, fwdP0, rwdP0);
	getBoundaryPoints(center, P2, center, fwdP2, rwdP2);

	double thickness = center.thick;
	if (thickness < thicknessLimit)
		thickness = thicknessLimit;
	if (fwdP0.x + fwdP2.x == rwdP0.x + rwdP2.x) {
		if ((fwdP0.y + fwdP2.y) - (rwdP0.y + rwdP2.y) > 0) {
			fwdPoint.x = center.x;
			fwdPoint.y = center.y + thickness;
			rwdPoint.x = center.x;
			rwdPoint.y = center.y - thickness;
		} else if ((fwdP0.y + fwdP2.y) - (rwdP0.y + rwdP2.y) < 0) {
			fwdPoint.x = center.x;
			fwdPoint.y = center.y - thickness;
			rwdPoint.x = center.x;
			rwdPoint.y = center.y + thickness;
		} else
			assert(false);
	} else {
		double m = ((fwdP0.y + fwdP2.y) - (rwdP0.y + rwdP2.y)) / ((fwdP0.x + fwdP2.x) - (rwdP0.x + rwdP2.x));

		fwdPoint.x = center.x + (thickness) / sqrt(1 + m * m);
		fwdPoint.y = center.y + m * (fwdPoint.x - center.x);

		rwdPoint.x = center.x - (thickness) / sqrt(1 + m * m);
		rwdPoint.y = center.y + m * (rwdPoint.x - center.x);

		if (right(P0, center, rwdPoint)) {
			TPointD temp = fwdPoint;
			fwdPoint = rwdPoint;
			rwdPoint = temp;
		}
	}
}

//-------------------------------------------------------------------

inline void linkQuadraticList(LinkedQuadraticList &inputBoundaries)
{
	LinkedQuadraticList::iterator it_curr, it_prev, it_next, it_last;
	it_last = inputBoundaries.end();
	it_last--;

	it_curr = inputBoundaries.begin();
	it_next = it_curr;
	it_next++;
	it_curr->prev = &(*it_last);
	it_curr->next = &(*it_next);

	it_curr++;
	it_prev = inputBoundaries.begin();
	it_next++;
	while (it_curr != it_last) {
		it_curr->prev = &(*it_prev);
		it_curr->next = &(*it_next);
		it_curr++;
		it_prev++;
		it_next++;
	}
	it_curr->prev = &(*it_prev);
	it_curr->next = &(*inputBoundaries.begin());
}

//-------------------------------------------------------------------

inline void computeInputBoundaries(LinkedQuadraticList &inputBoundaries)
{
	set<LinkedQuadratic *> intersectionWindow;
	map<LinkedQuadratic *, vector<double>> intersectedQuadratics;
	LinkedQuadraticList intersectionBoundary;

	//detect adjacent quadratics intersections
	processAdjacentQuadratics(inputBoundaries);

	//detect Intersections
	LinkedQuadraticList::iterator it;
	it = inputBoundaries.begin();
	while (it != inputBoundaries.end()) {
		assert(!(it->getP0() == it->getP2()));
		refreshIntersectionWindow(&*it, intersectionWindow);
		findIntersections(&*it, intersectionWindow, intersectedQuadratics);
		intersectionWindow.insert(&*it);
		++it;
	}

	/*	map<LinkedQuadratic*, vector<double> >::iterator it1 = intersectedQuadratics.begin();
	while(it1 != intersectedQuadratics.end())
	{
		_RPT2(	_CRT_WARN,
			"\nP0( %f, %f )\n",
			it1->first->getP0().x,
			it1->first->getP0().y);
		_RPT2(	_CRT_WARN,
			"\nP1( %f, %f )\n",
			it1->first->getP1().x,
			it1->first->getP1().y);
		_RPT2(	_CRT_WARN,
			"\nP2( %f, %f )\n",
			it1->first->getP2().x,
			it1->first->getP2().y);

		++it1;
	}*/

	//segmentate curves
	map<LinkedQuadratic *, vector<double>>::iterator it_intersectedQuadratics = intersectedQuadratics.begin();
	while (it_intersectedQuadratics != intersectedQuadratics.end()) {
		segmentate(intersectionBoundary, it_intersectedQuadratics->first, it_intersectedQuadratics->second);
		inputBoundaries.remove(*it_intersectedQuadratics->first);
		++it_intersectedQuadratics;
	}

	//process intersections
	processIntersections(intersectionBoundary);

	inputBoundaries.sort(CompareLinkedQuadratics());
	intersectionBoundary.sort(CompareLinkedQuadratics());
	inputBoundaries.merge(intersectionBoundary, CompareLinkedQuadratics());
}

//-------------------------------------------------------------------

inline void processAdjacentQuadratics(LinkedQuadraticList &inputBoundaries)
{
	LinkedQuadratic *start = &inputBoundaries.front();
	LinkedQuadratic *curr = start;
	do {
		vector<DoublePair> intersections;

		LinkedQuadratic *next, *temp;
		next = curr->next;

		//		assert(curr->getP2() == next->getP0());
		if (curr->getP0() == curr->getP2()) {
			(curr->prev)->next = curr->next;
			(curr->next)->prev = curr->prev;
			temp = curr->prev;
			inputBoundaries.remove(*curr);
			curr = temp;
		} else if (curr->getP0() == next->getP2()) {
			(curr->prev)->next = next->next;
			(next->next)->prev = curr->prev;
			temp = curr->prev;
			inputBoundaries.remove(*curr);
			inputBoundaries.remove(*next);
			curr = temp;
		} else if ((curr->getP0() == next->getP0()) &&
				   (curr->getP1() == next->getP1()) &&
				   (curr->getP2() == next->getP2())) {
			assert(false);
			(curr)->next = next->next;
			(next->next)->prev = curr;
			inputBoundaries.remove(*next);
		} else if (intersect(*curr, *next, intersections) > 1) {
			double currSplit = 1, nextSplit = 0;
			for (unsigned int i = 0; i < intersections.size(); ++i) {
				if (currSplit > intersections[i].first)
					currSplit = intersections[i].first;
				if (nextSplit < intersections[i].second)
					nextSplit = intersections[i].second;
			}
			if (currSplit < one && nextSplit > zero) {
				TQuadratic firstSplit, secondSplit;

				curr->split(currSplit, firstSplit, secondSplit);
				curr->setP1(firstSplit.getP1());
				curr->setP2(firstSplit.getP2());

				next->split(nextSplit, firstSplit, secondSplit);
				next->setP0(secondSplit.getP0());
				next->setP1(secondSplit.getP1());
			}
		}
		intersections.clear();
		curr = curr->next;
	} while (curr != start);
}
//-------------------------------------------------------------------

inline void findIntersections(LinkedQuadratic *quadratic,
							  set<LinkedQuadratic *> &intersectionWindow,
							  map<LinkedQuadratic *, vector<double>> &intersectedQuadratics)
{
	set<LinkedQuadratic *>::iterator it = intersectionWindow.begin();
	while (it != intersectionWindow.end()) {
		vector<DoublePair> intersections;

		if ((quadratic->getP0() == (*it)->getP2()) &&
			(quadratic->getP1() == (*it)->getP1()) &&
			(quadratic->getP2() == (*it)->getP0()))
			assert(false);
		else if ((quadratic->getP0() == (*it)->getP0()) &&
				 (quadratic->getP1() == (*it)->getP1()) &&
				 (quadratic->getP2() == (*it)->getP2()))
			assert(false);
		else if (quadratic->prev == *it) {
		} else if (quadratic->next == *it) {
		} else if (intersect(*quadratic, *(*it), intersections)) {
			for (unsigned int i = 0; i < intersections.size(); ++i) {
				intersectedQuadratics[quadratic].push_back(intersections[i].first);
				intersectedQuadratics[*it].push_back(intersections[i].second);
			}
		}
		intersections.clear();
		++it;
	}
}

inline void refreshIntersectionWindow(LinkedQuadratic *quadratic,
									  set<LinkedQuadratic *> &intersectionWindow)
{
	set<LinkedQuadratic *>::iterator it = intersectionWindow.begin();
	while (it != intersectionWindow.end()) {
		if ((*it)->getBBox().y0 > quadratic->getBBox().y1) {
			set<LinkedQuadratic *>::iterator erase_it;
			erase_it = it;
			++it;
			intersectionWindow.erase(erase_it);
		} else
			++it;
	}
}

//-------------------------------------------------------------------

inline void segmentate(LinkedQuadraticList &intersectionBoundary,
					   LinkedQuadratic *quadratic,
					   vector<double> &splitPoints)
{
	for (unsigned int k = 0; k < splitPoints.size(); k++) {
		/*		_RPT1(	_CRT_WARN,
			"\n%f\n",
			splitPoints[k]);*/
		if (splitPoints[k] > 1) {
			splitPoints[k] = 1;
		} else if (splitPoints[k] < 0) {
			splitPoints[k] = 0;
		}
	}

	sort(splitPoints.begin(), splitPoints.end());
	vector<double>::iterator it_duplicates = unique(splitPoints.begin(), splitPoints.end());
	splitPoints.erase(it_duplicates, splitPoints.end());

	vector<TQuadratic *> segments;
	split<TQuadratic>(*quadratic, splitPoints, segments);

	LinkedQuadratic *prevQuadratic = quadratic->prev;

	vector<TQuadratic *>::iterator it = segments.begin();
	while (it != segments.end()) {
		if (!((*it)->getP0() == (*it)->getP2())) {
			TQuadratic quad = *(*it);
			normalizeTQuadratic(*it);
			quad = *(*it);
			intersectionBoundary.push_back(*(*it));
			prevQuadratic->next = &intersectionBoundary.back();
			intersectionBoundary.back().prev = prevQuadratic;
			prevQuadratic = &intersectionBoundary.back();
		}
		delete (*it);
		++it;
	}

	prevQuadratic->next = quadratic->next;

	if (quadratic->next)
		quadratic->next->prev = prevQuadratic;
}

//-------------------------------------------------------------------

inline void processIntersections(LinkedQuadraticList &intersectionBoundary)
{
	vector<pair<LinkedQuadratic *, Direction>> crossing;

	LinkedQuadraticList::iterator it1, it2;

	it1 = intersectionBoundary.begin();
	while (it1 != intersectionBoundary.end()) {
		TPointD intersectionPoint = it1->getP0();
		crossing.push_back(pair<LinkedQuadratic *, Direction>(&(*it1), outward));

		it2 = intersectionBoundary.begin();
		while (it2 != intersectionBoundary.end()) {
			if (it1 != it2) {
				if (it2->getP0() == intersectionPoint) {
					crossing.push_back(pair<LinkedQuadratic *, Direction>(&(*it2), outward));
				}
				if (it2->getP2() == intersectionPoint) {
					crossing.push_back(pair<LinkedQuadratic *, Direction>(&(*it2), inward));
				}
			}
			++it2;
		}

		unsigned int branchNum = crossing.size();
		if (branchNum > 4) {
			if (crossing[0].second == inward)
				nonSimpleCrossing.insert(crossing[0].first->getP2());
			else if (crossing[0].second == outward)
				nonSimpleCrossing.insert(crossing[0].first->getP0());
			else
				assert(false);
		} else if (branchNum > 2 && branchNum <= 4) {
			if (!isSmallStroke)
				processNonSimpleLoops(intersectionPoint, crossing);
			assert(crossing.size() != 1);

			if (crossing[0].second == inward)
				simpleCrossing.insert(crossing[0].first->getP2());
			else if (crossing[0].second == outward)
				simpleCrossing.insert(crossing[0].first->getP0());
			else
				assert(false);

			if (crossing.size() > 2) {
				sort(crossing.begin(), crossing.end(), CompareBranches());

				/*				_RPT0(	_CRT_WARN, 
"\n__________________________________________________\n");
				for(unsigned int j=0;j<crossing.size();++j)
				{
					if(crossing[j].second == inward)
						_RPT2(	_CRT_WARN,
						"\ninward P( %f, %f )\n",
						crossing[j].first->getP1().x - crossing[j].first->getP2().x,
						crossing[j].first->getP1().y - crossing[j].first->getP2().y);
					else if(crossing[j].second == outward)
						_RPT2(	_CRT_WARN,
						"\noutward P( %f, %f )\n",
						crossing[j].first->getP1().x - crossing[j].first->getP0().x,
						crossing[j].first->getP1().y - crossing[j].first->getP0().y);
					else assert(false);
				}*/

				vector<pair<LinkedQuadratic *, Direction>>::iterator it, it_prev, it_next, it_nextnext, it_prevprev;
				it = crossing.begin();
				while (it != crossing.end()) {
					if (it->second == outward) {
						it_next = it + 1;
						if (it_next == crossing.end())
							it_next = crossing.begin();
						while (((it->first)->getP0() == (it_next->first)->getP2() &&
								(it->first)->getP2() == (it_next->first)->getP0() &&
								(it->first)->getP1() == (it_next->first)->getP1()) ||
							   ((it->first)->getP0() == (it_next->first)->getP0() &&
								(it->first)->getP2() == (it_next->first)->getP2() &&
								(it->first)->getP1() == (it_next->first)->getP1())) {
							it_next = it_next + 1;
							if (it_next == crossing.end())
								it_next = crossing.begin();
						}
						it_nextnext = it_next + 1;
						if (it_nextnext == crossing.end())
							it_nextnext = crossing.begin();
						if (((it_nextnext->first)->getP0() == (it_next->first)->getP2() &&
							 (it_nextnext->first)->getP2() == (it_next->first)->getP0() &&
							 (it_nextnext->first)->getP1() == (it_next->first)->getP1()) ||
							((it_nextnext->first)->getP0() == (it_next->first)->getP0() &&
							 (it_nextnext->first)->getP2() == (it_next->first)->getP2() &&
							 (it_nextnext->first)->getP1() == (it_next->first)->getP1())) {
							if (it_nextnext->second == outward || it_nextnext->second == deletedOutward) {
								it->first->prev = 0;
								it->second = deletedOutward;
							}
						}
						if (it_next->second == outward || it_next->second == deletedOutward) {
							it->first->prev = 0;
							it->second = deletedOutward;
						}
					} else //(it->second == inward)
					{
						if (it == crossing.begin())
							it_prev = crossing.end() - 1;
						else
							it_prev = it - 1;
						while (((it->first)->getP0() == (it_prev->first)->getP2() &&
								(it->first)->getP2() == (it_prev->first)->getP0() &&
								(it->first)->getP1() == (it_prev->first)->getP1()) ||
							   ((it->first)->getP0() == (it_prev->first)->getP0() &&
								(it->first)->getP2() == (it_prev->first)->getP2() &&
								(it->first)->getP1() == (it_prev->first)->getP1())) {
							if (it_prev == crossing.begin())
								it_prev = crossing.end() - 1;
							else
								it_prev = it_prev - 1;
						}
						if (it_prev == crossing.begin())
							it_prevprev = crossing.end() - 1;
						else
							it_prevprev = it_prev - 1;
						if (((it_prevprev->first)->getP0() == (it_prev->first)->getP2() &&
							 (it_prevprev->first)->getP2() == (it_prev->first)->getP0() &&
							 (it_prevprev->first)->getP1() == (it_prev->first)->getP1()) ||
							((it_prevprev->first)->getP0() == (it_prev->first)->getP0() &&
							 (it_prevprev->first)->getP2() == (it_prev->first)->getP2() &&
							 (it_prevprev->first)->getP1() == (it_prev->first)->getP1())) {
							if (it_prevprev->second == inward || it_prevprev->second == deletedInward) {
								it->first->next = 0;
								it->second = deletedInward;
							}
						}
						if (it_prev->second == inward || it_prev->second == deletedInward) {
							it->first->next = 0;
							it->second = deletedInward;
						}
					}
					++it;
				}

				it = crossing.begin();
				while (it != crossing.end()) {
					if (it->second == deletedOutward || it->second == deletedInward)
						it = crossing.erase(it);
					else
						++it;
				}
			}

			assert(crossing.size() > 0 && crossing.size() <= 4);
			if (crossing.size() == 0) {
			} else if (crossing.size() == 2) {
				if (crossing[0].second == inward) {
					assert(crossing[1].second == outward);
					crossing[0].first->next = crossing[1].first;
					crossing[1].first->prev = crossing[0].first;
				} else //if(crossing[0].second == outward)
				{
					assert(crossing[1].second == inward);
					crossing[0].first->prev = crossing[1].first;
					crossing[1].first->next = crossing[0].first;
				}
			}
		}
		crossing.clear();
		++it1;
	}
}

//-------------------------------------------------------------------

bool processNonSimpleLoops(TPointD &intersectionPoint,
						   vector<pair<LinkedQuadratic *, Direction>> &crossing)
{
	vector<pair<LinkedQuadratic *, Direction>>::iterator it, last;
	it = crossing.begin();
	while (it != crossing.end()) {
		if (it->second == outward || it->second == deletedOutward) {
			LinkedQuadratic *loopStart = it->first;
			LinkedQuadratic *loopCurr = loopStart;
			for (int i = 0; i < nonSimpleLoopsMaxSize; ++i) {
				if (loopCurr->getP2() == intersectionPoint) {
					loopStart->prev = 0;
					crossing.erase(it);
					loopCurr->next = 0;
					last = remove(crossing.begin(),
								  crossing.end(),
								  pair<LinkedQuadratic *, Direction>(loopCurr, inward));
					crossing.erase(last, crossing.end());
					return true;
					break;
				}
				if (!loopCurr->next)
					break;
				double distance = norm2(loopCurr->getP0() - loopCurr->next->getP2());
				if (distance > nonSimpleLoopsMaxDistance)
					break;
				loopCurr = loopCurr->next;
			}
		}
		++it;
	}
	return false;
}

//-------------------------------------------------------------------

inline bool deleteUnlinkedLoops(LinkedQuadraticList &inputBoundaries)
{
	LinkedQuadratic *current, *temp;

	LinkedQuadraticList::iterator it = inputBoundaries.begin();
	while (it != inputBoundaries.end()) {
		//		bool isNonSimpleBranch;
		int count;
		if (it->prev == 0) {
			//			if( nonSimpleCrossing.find(it->getP0()) != nonSimpleCrossing.end() )
			//				isNonSimpleBranch = true;
			//			else isNonSimpleBranch = false;
			count = inputBoundaries.size();
			current = &(*it);
			while (current != 0) {
				assert(count > 0);
				if (count == 0)
					return false;
				if (nonSimpleCrossing.find(current->getP2()) != nonSimpleCrossing.end())
				//					|| simpleCrossing.find(current->getP2()) != simpleCrossing.end() )
				{
					if (current->next)
						current->next->prev = 0;
					it = inputBoundaries.begin();
					break;
				}

				if (&(*it) == current)
					++it;
				temp = current->next;
				inputBoundaries.remove(*current);
				if (temp) {
					assert(temp->next != current);
					if (temp->next == current) {
						temp->next = 0;
						it = inputBoundaries.begin();
						break;
					}
				}
				current = temp;
				--count;
			}
		} else if (it->next == 0) {
			//			if( nonSimpleCrossing.find(it->getP2()) != nonSimpleCrossing.end() )
			//				isNonSimpleBranch = true;
			//			else isNonSimpleBranch = false;
			count = inputBoundaries.size();
			current = &(*it);
			while (current != 0) {
				assert(count > 0);
				if (count == 0)
					return false;
				if (nonSimpleCrossing.find(current->getP0()) != nonSimpleCrossing.end())
				//					|| simpleCrossing.find(current->getP0()) != simpleCrossing.end() )
				{
					if (current->prev)
						current->prev->next = 0;
					it = inputBoundaries.begin();
					break;
				}

				if (&(*it) == current)
					++it;
				temp = current->prev;
				inputBoundaries.remove(*current);
				if (temp) {
					assert(temp->prev != current);
					if (temp->prev == current) {
						temp->prev = 0;
						it = inputBoundaries.begin();
						break;
					}
				}
				current = temp;
				--count;
			}
		} else
			++it;
	}
	return true;
}

//-------------------------------------------------------------------
//-------------------------------------------------------------------
//-------------------------------------------------------------------
//-------------------------------------------------------------------
//-------------------------------------------------------------------
//-------------------------------------------------------------------
//-------------------------------------------------------------------
//-------------------------------------------------------------------
//-------------------------------------------------------------------
//-------------------------------------------------------------------
//-------------------------------------------------------------------
//-------------------------------------------------------------------
//-------------------------------------------------------------------
#ifdef LEVO
namespace
{

void computeIntersections(IntersectionData &intData, const vector<TStroke *> &strokeArray);

//-------------------------------------------------------------------

void addBranch(IntersectionData &intData, list<IntersectedStroke> &strokeList,
			   const vector<TStroke *> &s, int ii, double w)
{
	list<IntersectedStroke>::iterator it;
	TPointD tan1, tan2;
	double crossVal;

	IntersectedStroke item(intData.m_intList.end(), strokeList.end());

	item.m_edge.m_s = s[ii];
	item.m_edge.m_index = ii;
	item.m_edge.m_w0 = w;

	tan1 = item.m_edge.m_s->getSpeed(w);
	tan2 = ((strokeList.back().m_gettingOut) ? 1 : -1) * strokeList.back().m_edge.m_s->getSpeed(strokeList.back().m_edge.m_w0);

	if (strokeList.size() == 2) //potrebbero essere orientati male; due branch possono stare come vogliono, ma col terzo no.
	{
		TPointD aux = ((strokeList.begin()->m_gettingOut) ? 1 : -1) * strokeList.begin()->m_edge.m_s->getSpeed(strokeList.begin()->m_edge.m_w0);
		if (cross(aux, tan2) > 0) {
			std::reverse(strokeList.begin(), strokeList.end());
			tan2 = ((strokeList.back().m_gettingOut) ? 1 : -1) * strokeList.back().m_edge.m_s->getSpeed(strokeList.back().m_edge.m_w0);
		}
	}

	double lastCross = cross(tan1, tan2);
	//UINT size = strokeList.size();

	UINT added = 0;
	bool endPoint = (w == 0.0 || w == 1.0);

	for (it = strokeList.begin(); it != strokeList.end(); it++) {
		tan2 = (((*it).m_gettingOut) ? 1 : -1) * (*it).m_edge.m_s->getSpeed((*it).m_edge.m_w0);
		crossVal = cross(tan1, tan2);

		if (lastCross > 0 && crossVal < 0 && w != 1.0) {
			assert(added != 0x1);
			item.m_gettingOut = true;
			strokeList.insert(it, item);
			added |= 0x1;
			if (endPoint || added == 0x3)
				return;
		} else if (lastCross < 0 && crossVal > 0 && w != 0.0) {
			assert(added != 0x2);
			item.m_gettingOut = false;
			strokeList.insert(it, item);
			added |= 0x2;
			if (endPoint || added == 0x3)
				return;
		}
		lastCross = crossVal;
	}

	if (endPoint) {
		item.m_gettingOut = (w == 0.0);
		strokeList.push_back(item);
	} else {
		item.m_gettingOut = (crossVal >= 0);
		strokeList.push_back(item);
		item.m_gettingOut = !item.m_gettingOut;
		strokeList.push_back(item);
	}
}

//-----------------------------------------------------------------------------

void addBranches(IntersectionData &intData, Intersection &intersection, const vector<TStroke *> &s, int ii, int jj,
				 DoublePair intersectionPair)
{
	bool foundS1 = false, foundS2 = false;
	list<IntersectedStroke>::iterator it;

	assert(!intersection.m_strokeList.empty());

	for (it = intersection.m_strokeList.begin(); it != intersection.m_strokeList.end(); it++) {

		if ((ii >= 0 && (*it).m_edge.m_s == s[ii]))
			foundS1 = true;
		if ((jj >= 0 && (*it).m_edge.m_s == s[jj]))
			foundS2 = true;
	}

	if (foundS1 && foundS2)
		return;

	if (!foundS1) {
		int size = intersection.m_strokeList.size();
		addBranch(intData, intersection.m_strokeList, s, ii, intersectionPair.first);
		assert(intersection.m_strokeList.size() - size > 0);
	}
	if (!foundS2) {
		int size = intersection.m_strokeList.size();
		addBranch(intData, intersection.m_strokeList, s, jj, intersectionPair.second);
		//intersection.m_numInter+=intersection.m_strokeList.size()-size;
		assert(intersection.m_strokeList.size() - size > 0);
	}
}

//-----------------------------------------------------------------------------

#ifdef IS_DOTNET
#define NULL_ITER list<IntersectedStroke>::iterator()
#else
#define NULL_ITER 0
#endif

//-----------------------------------------------------------------------------
Intersection makeIntersection(IntersectionData &intData, const vector<TStroke *> &s, int ii, int jj,
							  DoublePair inter)
{
	Intersection interList;
	IntersectedStroke item1(intData.m_intList.end(), NULL_ITER),
		item2(intData.m_intList.end(), NULL_ITER);

	interList.m_intersection = s[ii]->getPoint(inter.first);

	item1.m_edge.m_w0 = inter.first;
	item2.m_edge.m_w0 = inter.second;

	item1.m_edge.m_s = s[ii];
	item1.m_edge.m_index = ii;

	item2.m_edge.m_s = s[jj];
	item2.m_edge.m_index = jj;

	bool reversed = false;

	if (cross(item1.m_edge.m_s->getSpeed(inter.first), item2.m_edge.m_s->getSpeed(inter.second)) > 0)
		reversed = true; //std::reverse(interList.m_strokeList.begin(), interList.m_strokeList.end());

	if (item1.m_edge.m_w0 != 1.0) {
		item1.m_gettingOut = true;
		interList.m_strokeList.push_back(item1);
	}
	if (item2.m_edge.m_w0 != (reversed ? 0.0 : 1.0)) {
		item2.m_gettingOut = !reversed;
		interList.m_strokeList.push_back(item2);
	}
	if (item1.m_edge.m_w0 != 0.0) {
		item1.m_gettingOut = false;
		interList.m_strokeList.push_back(item1);
	}
	if (item2.m_edge.m_w0 != (reversed ? 1.0 : 0.0)) {
		item2.m_gettingOut = reversed;
		interList.m_strokeList.push_back(item2);
	}

	return interList;
}

//-----------------------------------------------------------------------------

void addIntersection(IntersectionData &intData,
					 const vector<TStroke *> &s, int ii, int jj,
					 DoublePair intersection)
{
	list<Intersection>::iterator it;
	TPointD p;

	if (areAlmostEqual(intersection.first, 0.0, 1e-9))
		intersection.first = 0.0;
	else if (areAlmostEqual(intersection.first, 1.0, 1e-9))
		intersection.first = 1.0;

	if (areAlmostEqual(intersection.second, 0.0, 1e-9))
		intersection.second = 0.0;
	else if (areAlmostEqual(intersection.second, 1.0, 1e-9))
		intersection.second = 1.0;

	p = s[ii]->getPoint(intersection.first);

	for (it = intData.m_intList.begin(); it != intData.m_intList.end(); it++)
		if (areAlmostEqual((*it).m_intersection, p)) //devono essere rigorosamente uguali, altrimenti
													 // il calcolo dell'ordine dei rami con le tangenti sballa
		{
			if ((*it).m_intersection == p)
				addBranches(intData, *it, s, ii, jj, intersection);
			return;
		}

	intData.m_intList.push_back(makeIntersection(intData, s, ii, jj, intersection));
}

//-----------------------------------------------------------------------------

void findNearestIntersection(list<Intersection> &interList)
{
	list<Intersection>::iterator i1;
	list<IntersectedStroke>::iterator i2;

	for (i1 = interList.begin(); i1 != interList.end(); i1++) {
		for (i2 = (*i1).m_strokeList.begin(); i2 != (*i1).m_strokeList.end(); i2++) {
			if ((*i2).m_nextIntersection != interList.end()) //already set
				continue;

			int versus = (i2->m_gettingOut) ? 1 : -1;
			double minDelta = (std::numeric_limits<double>::max)();
			list<Intersection>::iterator it1, it1Res;
			list<IntersectedStroke>::iterator it2, it2Res;

			for (it1 = i1; it1 != interList.end(); ++it1) {
				if (it1 == i1)
					it2 = i2, it2++;
				else
					it2 = (*it1).m_strokeList.begin();

				for (; it2 != (*it1).m_strokeList.end(); ++it2) {
					if ((*it2).m_edge.m_index == i2->m_edge.m_index &&
						(*it2).m_gettingOut == !i2->m_gettingOut) {
						double delta = versus * (it2->m_edge.m_w0 - i2->m_edge.m_w0);

						if (delta > 0 && delta < minDelta) {
							it1Res = it1;
							it2Res = it2;
							minDelta = delta;
						}
					}
				}
			}

			if (minDelta != (std::numeric_limits<double>::max)()) {
				(*it2Res).m_nextIntersection = i1;
				(*it2Res).m_nextStroke = i2;
				(*it2Res).m_edge.m_w1 = i2->m_edge.m_w0;
				(*i2).m_nextIntersection = it1Res;
				(*i2).m_nextStroke = it2Res;
				(*i2).m_edge.m_w1 = it2Res->m_edge.m_w0;
				i1->m_numInter++;
				it1Res->m_numInter++;
			}
		}
	}
}
//-----------------------------------------------------------------------------

int myIntersect(const TStroke *s1,
				const TStroke *s2,
				std::vector<DoublePair> &intersections)
{
	int k = 0;
	assert(s1 != s2);
	intersections.clear();

	for (int i = 0; i < s1->getChunkCount(); i++)
		for (int j = 0; j < s2->getChunkCount(); j++) {
			const TQuadratic *q1 = s1->getChunk(i);
			const TQuadratic *q2 = s2->getChunk(j);
			if (!q1->getBBox().overlaps(q2->getBBox()))
				continue;
			if (intersect(*q1, *q2, intersections) > k)
				while (k < (int)intersections.size()) {
					intersections[k].first = getWfromChunkAndT(s1, i, intersections[k].first);
					intersections[k].second = getWfromChunkAndT(s2, j, intersections[k].second);
					k++;
				}
		}
	return k;
}

//-----------------------------------------------------------------------------

void computeIntersections(IntersectionData &intData, const vector<TStroke *> &strokeArray)
{
	int i, j;

	assert(intData.m_intersectedStrokeArray.empty());

	list<Intersection>::iterator it1;
	list<IntersectedStroke>::iterator it2;

	for (i = 0; i < (int)strokeArray.size(); i++) {
		TStroke *s1 = strokeArray[i];
		addIntersection(intData, strokeArray, i, i, DoublePair(0, 1)); //le stroke sono sicuramente selfloop!
		for (j = i + 1; j < (int)strokeArray.size(); j++) {
			TStroke *s2 = strokeArray[j];
			vector<DoublePair> intersections;
			if (s1->getBBox().overlaps(s2->getBBox()) && myIntersect(s1, s2, intersections))
				for (int k = 0; k < (int)intersections.size(); k++)
					addIntersection(intData, strokeArray, i, j, intersections[k]);
		}
	}

	//la struttura delle intersezioni viene poi visitata per trovare
	// i link tra un'intersezione e la successiva

	findNearestIntersection(intData.m_intList);

	//for (it1=intData.m_intList.begin(); it1!=intData.m_intList.end();) //la faccio qui, e non nella eraseIntersection. vedi commento li'.
	//eraseDeadIntersections(intData.m_intList);

	//for (it1=intData.m_intList.begin(); it1!=intData.m_intList.end(); it1++)
	//   markDeadIntersections(intData.m_intList, it1);

	//checkInterList(intData.m_intList);
}

//-----------------------------------------------------------------------------

TRegion *findRegion(list<Intersection> &intList, list<Intersection>::iterator it1,
					list<IntersectedStroke>::iterator it2);

bool isValidArea(const TRegion &r);

//-----------------------------------------------------------------------------

} //namespace

#endif

//-----------------------------------------------------------------------------

bool computeSweepBoundary(const vector<TStroke *> &strokes, vector<vector<TQuadratic *>> &outlines)
{

	if (strokes.empty())
		return false;
	//if(!outlines.empty()) return false;
	vector<TStroke *> sweepStrokes;

	UINT i = 0;
	for (i = 0; i < strokes.size(); i++)
		computeBoundaryStroke(*strokes[i], sweepStrokes);

	/*if (Count)
  return true;
	Count++;*/

	//ofstream of("c:\\temp\\boh.txt");

	for (i = 0; i < sweepStrokes.size(); i++) {
		//of<<"****sweepstroke #"<<i<<"*****"<<endl;
		outlines.push_back(vector<TQuadratic *>());
		vector<TQuadratic *> &q = outlines.back();
		for (int j = 0; j < sweepStrokes[i]->getChunkCount(); j++) {
			const TThickQuadratic *q0 = sweepStrokes[i]->getChunk(j);
			//of<<"q"<<j<<": "<<q0->getP0().x<<", "<<q0->getP0().y<<endl;
			//of<<"     "<<     q0->getP1().x<<", "<<q0->getP1().y<<endl;
			//of<<"     "<<     q0->getP2().x<<", "<<q0->getP2().y<<endl;

			q.push_back(new TQuadratic(*q0));
		}
	}

	//return true;

	//computeRegions(sweepStrokes, outlines);
	clearPointerContainer(sweepStrokes);

	return true;
}

//-----------------------------------------------------------------------------
//-------------------------------------------------------------------
//-------------------------------------------------------------------
//-------------------------------------------------------------------
//-------------------------------------------------------------------
//-------------------------------------------------------------------
//-------------------------------------------------------------------
//-------------------------------------------------------------------
//-------------------------------------------------------------------
//-------------------------------------------------------------------
//-------------------------------------------------------------------
//-------------------------------------------------------------------
#ifdef LEVO
namespace
{

TRegion *findRegion(list<Intersection> &intList, list<Intersection>::iterator it1,
					list<IntersectedStroke>::iterator it2)
{
	TRegion *r = new TRegion();
	//int currStyle=0;

	list<IntersectedStroke>::iterator itStart = it2;

	list<Intersection>::iterator nextIt1;
	list<IntersectedStroke>::iterator nextIt2;

	while (!(*it2).m_visited) {
		(*it2).m_visited = true;
		if ((*it2).m_edge.m_w0 >= (*it2).m_edge.m_w1) {
			delete r;
			return 0;
		}

		do {
			it2++;
			if (it2 == ((*it1).m_strokeList.end())) //la lista e' circolare
				it2 = (*it1).m_strokeList.begin();
		} while (it2->m_nextIntersection == intList.end());

		nextIt1 = (*it2).m_nextIntersection;
		nextIt2 = (*it2).m_nextStroke;

		r->addEdge(&(*it2).m_edge);

		if (nextIt2 == itStart)
			return r;

		it1 = nextIt1;
		it2 = nextIt2;
	}

	delete r;
	return 0;
}

//-----------------------------------------------------------------------------
bool isValidArea(const TRegion &r)
{
	int size = r.getEdgeCount();

	if (size == 0)
		return false;

	for (int i = 0; i < size; i++) {
		TEdge *e = r.getEdge(i);
		if (e->m_w0 < e->m_w1)
			return false;
	}
	return true;
}
}

#endif