/*
 *  first_mesh.h
 *  
 *
 *  Created by Brian Patenaude on 12/08/2008.
 *  Copyright 2008 University of Oxford. All rights reserved.
 *
 */
/*  Part of FSL - FMRIB's Software Library
    http://www.fmrib.ox.ac.uk/fsl
    fsl@fmrib.ox.ac.uk
    
    Developed at FMRIB (Oxford Centre for Functional Magnetic Resonance
    Imaging of the Brain), Department of Clinical Neurology, Oxford
    University, Oxford, UK
    
    
    LICENCE
    
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#include "first_mesh.h"
using namespace std;
using namespace NEWIMAGE;

namespace FIRST_LIB{

	first_mesh::first_mesh(){
	
	}

	first_mesh::~first_mesh(){
	
	}


void first_mesh::getBounds(const vector<float> & m, int *bounds, const float & xdim, const float & ydim, const float & zdim)
{	
	float xmin=1000,xmax=-1000,ymin=1000,ymax=-1000,zmin=1000,zmax=-1000;
	for (vector<float>::const_iterator i=m.begin();i!=m.end();i+=3)
	{
		if ( *i < xmin)		xmin=*i;
		if ( *i > xmax)		xmax=*i;
		if ( *(i+1) < ymin)	ymin=*(i+1);
		if ( *(i+1) > ymax)	ymax=*(i+1);
		if ( *(i+2) < zmin)	zmin=*(i+2);
		if ( *(i+2) > zmax)	zmax=*(i+2);
	}
	
	*bounds=static_cast<int>(floor(xmin/xdim)-1);
	*(bounds+1)=static_cast<int>(ceil(xmax/xdim)+1);
	*(bounds+2)=static_cast<int>(floor(ymin/ydim)-1);
	*(bounds+3)=static_cast<int>(ceil(ymax/ydim)+1);
	*(bounds+4)=static_cast<int>(floor(zmin/zdim)-1);
	*(bounds+5)=static_cast<int>(ceil(zmax/zdim)+1);	
}


void  first_mesh::draw_segment(::volume<short>& image, const float & p1x,const float & p1y,const float & p1z,  const float & p2x,const float & p2y,const float & p2z, int label)
{
	double xdim = (double) image.xdim();
	double ydim = (double) image.ydim();
	double zdim = (double) image.zdim();

	//in new version of bet2
	double mininc = min(xdim,min(ydim,zdim)) * .25;

	float nx = p1x - p2x;
	float ny = p1y - p2y;
	float nz = p1z - p2z;

	double d = sqrt(nx*nx+ny*ny+nz*nz);
	nx/=d;
	ny/=d;
	nz/=d;
	
	for (double i=0; i<=d; i+=mininc)
		image(static_cast<int>(floor((p2x+i*nx)/xdim +.5)),static_cast<int>(floor((p2y+i*ny)/ydim +.5)),static_cast<int>(floor((p2z+i*nz)/zdim +.5))) = label;
}


volume<short>  first_mesh::draw_mesh(const volume<short> & image, const vector<float> & pts, const vector< vector<unsigned int> > & triangles, int label)
{
	volume<short> imout;
	copyconvert(image,imout);
	imout=0;
  	double xdim = (double) image.xdim();
	double ydim = (double) image.ydim();
	double zdim = (double) image.zdim();
	
	//in new version of bet2
	double mininc = min(xdim,min(ydim,zdim)) * 0.5;
	
	for (vector< vector<unsigned int> >::const_iterator i = triangles.begin(); i!=triangles.end(); i++)
	{	
		float px1= pts.at(i->at(1)*3);
		float py1= pts.at(i->at(1)*3+1);
		float pz1= pts.at(i->at(1)*3+2);
						  
		float vx=pts.at(i->at(0)*3) - px1;
		float vy=pts.at(i->at(0)*3+1) - py1;
		float vz=pts.at(i->at(0)*3+2) - pz1;
						  
		float px2=pts.at(i->at(2)*3); 
		float py2=pts.at(i->at(2)*3+1); 
		float pz2=pts.at(i->at(2)*3+2);
						  
		float d=sqrt(vx*vx+vy*vy+vz*vz);
						  
		vx/=d;
		vy/=d;
		vz/=d;
						  
		for (float j=0; j<=d ;  j+=mininc)
			draw_segment(imout, px1+j*vx,py1+j*vy,pz1+j*vz,px2,py2,pz2,label+100);
						  
    }
	return imout;
}


volume<short> first_mesh::make_mask_from_mesh(const volume<float> & image, const vector<float> & m, const vector< vector<unsigned int> > & triangles, const int & label, const int * bounds)
{
	volume<short> mask;
	copyconvert(image,mask);
	
	int boundsNew[6];// = *bounds;
	for (int i=0;i<6;i++)
		boundsNew[i]=bounds[i];
	mask = 0;
	mask = draw_mesh(mask, m, triangles, label);
	
	volume<short> otl=mask;
	
	vector<float> currentX,currentY,currentZ;
	if (boundsNew[0]<0) boundsNew[0]=0;
	if (boundsNew[2]<0) boundsNew[2]=0;
	if (boundsNew[4]<0) boundsNew[4]=0;
	
	if (boundsNew[1]>=image.xsize()-1) boundsNew[1]=image.xsize()-1; 
	if (boundsNew[3]>=image.ysize()-1) boundsNew[3]=image.ysize()-1;
	if (boundsNew[5]>=image.zsize()-1) boundsNew[5]=image.zsize()-1; 
	
	float start_x=boundsNew[0]-2;
	float start_y=boundsNew[2]-2;
	float start_z=boundsNew[4]-2;
	
	if (boundsNew[0]<2) start_x=0;
	if (boundsNew[2]<2) start_y=0;
	if (boundsNew[4]<2) start_z=0;
	
	
	mask.value(start_x,start_y,start_z) = label;
	
	currentX.push_back(start_x);
	currentY.push_back(start_y);
	currentZ.push_back(start_z);
	
	while (!currentX.empty())
	{
		int x, y, z;
		x=static_cast<int>(currentX.back()); 
		y=static_cast<int>(currentY.back()); 
		z=static_cast<int>(currentZ.back()); 

		currentX.pop_back();
		currentY.pop_back();
		currentZ.pop_back();

		if (boundsNew[0]<=x-1 && mask.value(x-1, y, z)==0) 
		{
			mask.value(x-1, y, z) = label;
			currentX.push_back(x-1);
			currentY.push_back(y);
			currentZ.push_back(z);

		}
		if (boundsNew[2]<=y-1 && mask.value(x, y-1, z)==0) 
		{
			mask.value(x, y-1, z) = label;
			currentX.push_back(x);
			currentY.push_back(y-1);
			currentZ.push_back(z);

		}
		if (boundsNew[4]<=z-1 && mask.value(x, y, z-1)==0) 
		{
			mask.value(x, y, z-1) = label;
			currentX.push_back(x);
			currentY.push_back(y);
			currentZ.push_back(z-1);

		}
		if (boundsNew[1]>=x+1 && mask.value(x+1, y, z)==0)
		{
			mask.value(x+1, y, z) = label;
			currentX.push_back(x+1);
			currentY.push_back(y);
			currentZ.push_back(z);

		}
		if (boundsNew[3]>=y+1 && mask.value(x, y+1, z)==0)
		{
			mask.value(x, y+1, z) = label;
			currentX.push_back(x);
			currentY.push_back(y+1);
			currentZ.push_back(z);

		}
		if (boundsNew[5]>=z+1 && mask.value(x, y, z+1)==0)
		{
			mask.value(x, y, z+1) = label;
			currentX.push_back(x); 
			currentY.push_back(y); 
			currentZ.push_back(z+1); 

		}
		
	}

	for (int i=boundsNew[0];i<boundsNew[1];i++)
		for (int j=boundsNew[2];j<boundsNew[3];j++)
			for (int k=boundsNew[4];k<boundsNew[5];k++)
				if (mask.value(i,j,k)==0)
					otl.value(i,j,k)=label;

	return otl;
}

template<class T,class T2>
void first_mesh::normal(const vector<T> & pts, const vector< vector<T2> > & localTri, const vector< vector<T2> > & cells,vector<T> & vx, vector<T> & vy, vector<T> & vz )
{
	
	vx.clear();
	vy.clear();
	vz.clear();
	//calculate the normals for each triangle then references
		
	for (typename vector< vector<T2> >::const_iterator i=localTri.begin();i!=localTri.end();i++)
	{
		float nx=0,ny=0,nz=0;
		float vx1,vy1,vz1,vx2,vy2,vz2;
	
		for (typename vector<T2>::const_iterator j=i->begin();j!=i->end();j++)
		{
			vx1=pts.at(cells.at(*j).at(2)*3)-pts.at(cells.at(*j).at(0)*3);
			vx2=pts.at(cells.at(*j).at(1)*3)-pts.at(cells.at(*j).at(0)*3);
			vy1=pts.at(cells.at(*j).at(2)*3+1)-pts.at(cells.at(*j).at(0)*3+1);
			vy2=pts.at(cells.at(*j).at(1)*3+1)-pts.at(cells.at(*j).at(0)*3+1);
			vz1=pts.at(cells.at(*j).at(2)*3+2)-pts.at(cells.at(*j).at(0)*3+2);
			vz2=pts.at(cells.at(*j).at(1)*3+2)-pts.at(cells.at(*j).at(0)*3+2);
			
		float nxt=(vy1*vz2-vz1*vy2);
			float nyt=(vz1*vx2-vx1*vz2);
			float nzt=(vx1*vy2-vy1*vx2);

			nx+=nxt;
			ny+=nyt;
			nz+=nzt;
		}
		
		float d=sqrt(nx*nx+ny*ny+nz*nz);
		vx.push_back(nx/d);
		vy.push_back(ny/d);
		vz.push_back(nz/d);
	}
}

template<class T>
vector< vector<T> >  first_mesh::findNeighbours(const vector< vector<T> > & triangles, const unsigned int & N)
{
	vector< vector<T> > neighbours;
	for (unsigned int i=0; i<N ; i++)
	{
		vector<T> pt_neigh;
		for (typename vector< vector<T> >::const_iterator tri_i=triangles.begin(); tri_i!=triangles.end(); tri_i++)
			for ( typename vector<T> ::const_iterator vert_i= tri_i->begin(); vert_i!=tri_i->end(); vert_i++)
				if ( static_cast<unsigned int>(*vert_i) == i )//if point belongs to triangle add neigbours
				{	
					for ( typename vector<T> ::const_iterator vert_ii= tri_i->begin(); vert_ii!=tri_i->end(); vert_ii++)
						if  ( static_cast<unsigned int>(*vert_ii) != i )
						{
							bool found=false;
							for ( typename vector<T>::iterator temp_i=pt_neigh.begin(); temp_i!=pt_neigh.end();temp_i++)
									if ( (*vert_ii) == (*temp_i) ) found=true;
							if (!found)
								pt_neigh.push_back(*vert_ii);
						}
					break;
				}
	
		neighbours.push_back(pt_neigh);
		}
	return neighbours;
}

template<class T>
vector< vector<T> >  first_mesh::findNeighbourTriangles(const vector< vector<T> > & cells, const unsigned int & N)
{
	vector< vector<T> > neighbours;
	for (unsigned int i=0; i<N ; i++)
	{
		vector<T> tri_neigh;
		int count=0;
		for (typename vector< vector<T> >::const_iterator tri_i=cells.begin(); tri_i!=cells.end(); tri_i++,count++)
			for ( typename vector<T> ::const_iterator tri_j= tri_i->begin(); tri_j!=tri_i->end(); tri_j++)
				if ( static_cast<unsigned int>(*tri_j) == i )//if point belongs to triangle add neigbours
				{	
					tri_neigh.push_back(count);
					break;
				}
	
		neighbours.push_back(tri_neigh);
		}
	return neighbours;
}



template<class T,class T2>
void  first_mesh::medium_neighbours(const vector<T> & pts, const vector< vector<T2> > & neighbours, const vector< vector<T2> > & cells,\
									vector<T> & vx, vector<T> & vy, vector<T> & vz )
{
	
	vx.clear();
	vy.clear();
	vz.clear();
	//calculate the normals for each triangle then references
		
	for ( typename vector< vector<T2> >::const_iterator i=neighbours.begin();i!=neighbours.end();i++)
	{
		float nx=0,ny=0,nz=0;
			
		for (typename vector<T2>::const_iterator j=i->begin();j!=i->end();j++)
		{
			nx+=pts.at( (*j)*3 );
			ny+=pts.at( (*j)*3 + 1);
			nz+=pts.at( (*j)*3 + 2);
		}
	
		vx.push_back(nx/i->size());
		vy.push_back(ny/i->size());
		vz.push_back(nz/i->size());
	}
}


template<class T, class T2>
void first_mesh::maxTriangle(const vector<T> & pts, const vector< vector<T2> > & localTri, const vector< vector<T2> > & cells,vector<T> & vx, vector<T> & vy, vector<T> & vz )
{
  vx.clear();
	vy.clear();
	vz.clear();

	typename vector<T>::const_iterator pts_i = pts.begin(); 
	
	for (typename vector< vector<T2> >::const_iterator i=localTri.begin();i!=localTri.end();i++ , pts_i+=3)
	{
		float vx1,vy1,vz1,vx2,vy2,vz2;
		float max_area=0, va_x=0, va_y=0, va_z=0;

		for (typename vector<T2>::const_iterator j=i->begin();j!=i->end();j++)
		{
			vx1=pts.at(cells.at(*j).at(2)*3)-pts.at(cells.at(*j).at(0)*3);
			vx2=pts.at(cells.at(*j).at(1)*3)-pts.at(cells.at(*j).at(0)*3);
			vy1=pts.at(cells.at(*j).at(2)*3+1)-pts.at(cells.at(*j).at(0)*3+1);
			vy2=pts.at(cells.at(*j).at(1)*3+1)-pts.at(cells.at(*j).at(0)*3+1);
			vz1=pts.at(cells.at(*j).at(2)*3+2)-pts.at(cells.at(*j).at(0)*3+2);
			vz2=pts.at(cells.at(*j).at(1)*3+2)-pts.at(cells.at(*j).at(0)*3+2);
			
			float nxt=(vy1*vz2-vz1*vy2);
			float nyt=(vz1*vx2-vx1*vz2);
			float nzt=(vx1*vy2-vy1*vx2);

			float area=0.5* sqrt(nxt*nxt+nyt*nyt+nzt*nzt); 
			
			//find bisecting vector
			//cout<<"area "<<area<<endl;
			
			if ( area > max_area )
			{	
				va_x=(      pts.at(cells.at(*j).at(0)*3) + pts.at(cells.at(*j).at(1)*3)      + pts.at(cells.at(*j).at(2)*3 )     ) / 3 - *pts_i ;
				va_y=( pts.at(cells.at(*j).at(0)*3 + 1 ) + pts.at(cells.at(*j).at(1)*3 + 1 ) + pts.at(cells.at(*j).at(2)*3 + 1 ) ) / 3 - *(pts_i+1);
				va_z=( pts.at(cells.at(*j).at(0)*3 + 2 ) + pts.at(cells.at(*j).at(1)*3 + 2 ) + pts.at(cells.at(*j).at(2)*3 + 2 ) ) / 3 - *(pts_i+2);
				max_area=area;
			//	cout<<"MAX AREA "<<max_area<<endl;
			}
			
		}
		float norm=sqrt(va_x*va_x + va_y*va_y + va_z*va_z );
		vx.push_back( va_x/norm * max_area );
		vy.push_back( va_y/norm * max_area );
		vz.push_back( va_z/norm * max_area );
	}

}

template<class T>
bool first_mesh::triangle_intersection(const T* V10, const T* V11, const T* V12, const T* V20, const T* V21, const T* V22 )
{//this is the Moller algorithm for fast traingle intersection
	//calculate triangle plane 2
	//cout<<"test triangles"<<endl;
	short eq=0;
	if ( pt_equal(V10,V20) || pt_equal(V10,V21) ||  pt_equal(V10,V22) ) eq++;
	if ( pt_equal(V11,V20) || pt_equal(V11,V21) ||  pt_equal(V11,V22) ) eq++;
	if ( pt_equal(V12,V20) || pt_equal(V12,V21) ||  pt_equal(V12,V22) ) eq++;

	if (eq==1) return false;
	 
	T* N2 = cross_prod<T>( vec_sub(V21,V20),  vec_sub(V22,V20) );
	T  d2 = -dot_prod(N2,V20);
	
//	T testV[]={1,2,3};
//	T testV2[]= {4,5,6};
//	T* test=cross_prod<T>(testV,testV2);
	//T* N2=cross_prod<T>(testV,testV2);

	//cout<<"test "<<test[0]<<" "<<test[1]<<" "<<test[2]<<" "<<dot_prod(test,testV2)<<endl;
	//calculate distance of vertices from plane 1
	T dist10=dot_prod(N2,V10)+d2;
	T dist11=dot_prod(N2,V11)+d2;
	T dist12=dot_prod(N2,V12)+d2;
	//cout<<"DIST AGAIN "<<dist10<<" "<<dot_prod(N2,V22)+d2<<" "<<dot_prod(N2,V20)+d2<<" "<<dot_prod(N2,V21)+d2<<endl;
	if ( ((dist10>=0) && (dist11>=0) && (dist12>=0)) || ((dist10<=0) && (dist11<=0) && (dist12<=0)) )
	{
		delete N2;
		return false;//not all points are on same side of plan
}
//	}else if (( dist10 == dist11 ) && (dist11 == dist12) && ( dist12 == 0 )) //test for coplanar
//	{
//		delete N2;
//		return false;
//	}else
	if ( (dist10==0) || (dist11==0) || (dist12==0) )
	{
		delete N2;
		return false;
	}else{
		//calculate intersection line
		T* N1 = cross_prod<T>( vec_sub(V11,V10),  vec_sub(V12,V10) );
		T  d1 = -dot_prod(N1,V10);

		T dist20=dot_prod(N1,V20)+d1;
		T dist21=dot_prod(N1,V21)+d1;
		T dist22=dot_prod(N1,V22)+d1;
	//	if ( dist20 == dist21 == dist22 == 0 )
	//	{
	//	cout<<"dist1 "<<dist10<<" "<<dist11<<" "<<dist12<<endl;
	//		cout<<"not intersect 1"<<endl;

	//		delete N1;
	//		delete N2;
	//		return false;
	//	}
			if ( ((dist20>=0) && (dist21>=0) && (dist22>=0)) || ((dist20<=0) && (dist21<=0) && (dist22<=0)) )
	{
		delete N2;
		delete N1;
		return false;//not all points are on same side of plan
}
		//claulcate line in=tersection (without intercept)
		T* D = cross_prod<T>(N1,N2);
		//calculate max axis to project onto
/*		short max_axis = 0;
		if (abs(D[1])>abs(D[0]))
			max_axis=1;
		else if (abs(D[2])>abs(D[max_axis]))
			max_axis=2;
		
		delete N1;
		delete N2;
		delete D;
		
		T p10 = V10[max_axis];
		T p11 = V11[max_axis];
		T p12 = V12[max_axis];

		T p20 = V20[max_axis];
		T p21 = V21[max_axis];
		T p22 = V22[max_axis];
*/
		T p10 = dot_prod(D,V10);//[max_axis];
		T p11 = dot_prod(D,V11);
		T p12 =dot_prod(D,V12);

		T p20 =dot_prod(D,V20);
		T p21 =dot_prod(D,V21);
		T p22 = dot_prod(D,V22);
		
if (abs(dist10)<1e-4) dist10=0;
if (abs(dist11)<1e-4) dist11=0;
if (abs(dist12)<1e-4) dist12=0;
if (abs(dist20)<1e-4) dist20=0;
if (abs(dist21)<1e-4) dist21=0;
if (abs(dist22)<1e-4) dist22=0;

	//	cout<<"dist1 "<<dist10<<" "<<dist11<<" "<<dist12<<" "<<dist20<<" "<<dist21<<" "<<dist22<<endl;

if ( (dist20==0) || (dist21==0) || (dist22==0) )
	{
	//cout<<"not intersect 2"<<endl;
		delete N2;
		delete N1;
		return false;
	}

		T t11, t12, t21, t22; //intersection parameters

		//get triangle 1 interval
		if ( ((dist10>=0) && (dist11>=0)) || ((dist10<=0) && (dist11<=0)) )
		{
			t11= p10 - (p10 - p12)*(dist10/(dist10 - dist12));
			t12= p11 - (p11 - p12)*(dist11/(dist11 - dist12));
		}else if ( ((dist10>=0) && (dist12>=0)) || ((dist10<=0) && (dist12<=0)) )
		{
			t11= p10 - (p10 - p11)*(dist10/(dist10 - dist11));
			t12= p12 - (p12 - p11)*(dist12/(dist12 - dist11));
		}else
		{
			t11= p11 - (p11 - p10)*(dist11/(dist11 - dist10));
			t12= p12 - (p12 - p10)*(dist12/(dist12 - dist10));
		}
		
		//get triangle 2 interval
		if ( ((dist20>=0) && (dist21>=0)) || ((dist20<=0) && (dist21<=0)) )
		{
			t21= p20 - (p20 - p22)*(dist20/(dist20 - dist22));
			t22= p21 - (p21 - p22)*(dist21/(dist21 - dist22));
		}else if ( ((dist20>=0) && (dist22>=0)) || ((dist20<=0) && (dist22<=0)) )
		{
			t21= p20 - (p20 - p21)*(dist20/(dist20 - dist21));
			t22= p22 - (p22 - p21)*(dist22/(dist22 - dist21));
		}else
		{
			t21= p21 - (p21 - p20)*(dist21/(dist21 - dist20));
			t22= p22 - (p22 - p20)*(dist22/(dist22 - dist20));
		}
		
//		cout<<V10[0]<<" "<<V10[1]<<" "<<V10[2]<<endl;
//		cout<<V11[0]<<" "<<V11[1]<<" "<<V11[2]<<endl;
//		cout<<V12[0]<<" "<<V12[1]<<" "<<V12[2]<<endl;
//		cout<<V20[0]<<" "<<V20[1]<<" "<<V20[2]<<endl;
//		cout<<V21[0]<<" "<<V21[1]<<" "<<V21[2]<<endl;
//		cout<<V22[0]<<" "<<V22[1]<<" "<<V22[2]<<endl;
//		cout<<"dist "<<dist10<<" "<<dist11<<" "<<dist12<<" "<<dist20<<" "<<dist21<<" "<<dist22<<endl;
//		cout<<"intervals "<<t11<<" "<<t12<<" "<<t21<<" "<<t22<<endl;
		//check interval overlap 
		if ( ((t21<=t11) && (t21<=t12) &&  (t22<=t11) && (t22<=t12)) || \
			 ((t21>=t11) && (t21>=t12) &&  (t22>=t11) && (t22>=t12)) )
			return false;


	}
	return true;
}


template<class T,class T2>
bool first_mesh::self_intersection_test(const vector< vector<T2> > & tri_cells, const vector<T> & pts  )
{
	vector<T> pts_x, pts_y, pts_z;
	for (typename vector<T>::const_iterator i=pts.begin();i!=pts.end();i+=3)
	{
		pts_x.push_back(*i);
		pts_y.push_back(*(i+1));
		pts_z.push_back(*(i+2));

	}
	
	typename vector< vector<T2> >::const_iterator start_j=tri_cells.begin()+1;

	T* V10 = new T[3];
	T* V11 = new T[3];
	T* V12 = new T[3];
	T* V20 = new T[3];
	T* V21 = new T[3];
	T* V22 = new T[3];
	for (typename vector< vector<T2> >::const_iterator i=tri_cells.begin(); i!=tri_cells.end() ;i++)
	{	//for each triangle, compare against all others
		V10[0]=pts_x.at(i->at(0));
		V10[1]=pts_y.at(i->at(0));
		V10[2]=pts_z.at(i->at(0));
		V11[0]=pts_x.at(i->at(1));
		V11[1]=pts_y.at(i->at(1));
		V11[2]=pts_z.at(i->at(1));
		V12[0]=pts_x.at(i->at(2));
		V12[1]=pts_y.at(i->at(2));
		V12[2]=pts_z.at(i->at(2));
		
		for (typename vector< vector<T2> >::const_iterator j=start_j; j!=tri_cells.end() ;j++)
		{
			V20[0]=pts_x.at(j->at(0));
			V20[1]=pts_y.at(j->at(0));
			V20[2]=pts_z.at(j->at(0));
			V21[0]=pts_x.at(j->at(1));
			V21[1]=pts_y.at(j->at(1));
			V21[2]=pts_z.at(j->at(1));
			V22[0]=pts_x.at(j->at(2));
			V22[1]=pts_y.at(j->at(2));
			V22[2]=pts_z.at(j->at(2));
			//cout<<"tri "<<V20[0]<<" "<<V21[1]<<" "<<V22[0]<<endl;
			if ( triangle_intersection(V10, V11, V12, V20, V21, V22) )
			{
				delete V10;
				delete V11;
				delete V12;
				delete V20;
				delete V21;
				delete V22;
				return true;
			}
		}
		start_j++;
	}
	delete V10;
				delete V11;
				delete V12;
				delete V20;
				delete V21;
				delete V22;
				return false;
				
}



template void first_mesh::normal<float, short>(const vector<float> & pts, const vector< vector<short> > & localTri, \
										const vector< vector<short> > & cells,vector<float> & vx, vector<float> & vy, vector<float> & vz );
template void first_mesh::normal<double, short>(const vector<double> & pts, const vector< vector<short> > & localTri, \
										const vector< vector<short> > & cells,vector<double> & vx, vector<double> & vy, vector<double> & vz );
template void first_mesh::normal<float, unsigned int>(const vector<float> & pts, const vector< vector<unsigned int> > & localTri, \
										const vector< vector<unsigned int> > & cells,vector<float> & vx, vector<float> & vy, vector<float> & vz );
template void first_mesh::normal<double, unsigned int>(const vector<double> & pts, const vector< vector<unsigned int> > & localTri, \
										const vector< vector<unsigned int> > & cells,vector<double> & vx, vector<double> & vy, vector<double> & vz );



//medium neighbours
template void  first_mesh::medium_neighbours<float,short>(const vector<float> & pts, const vector< vector<short> > & localTri, const vector< vector<short> > & cells,\
																  vector<float> & vx, vector<float> & vy, vector<float> & vz );
template void  first_mesh::medium_neighbours<double,short>(const vector<double> & pts, const vector< vector<short> > & localTri, const vector< vector<short> > & cells,\
																  vector<double> & vx, vector<double> & vy, vector<double> & vz );
template void  first_mesh::medium_neighbours<float,unsigned int>(const vector<float> & pts, const vector< vector<unsigned int> > & localTri, const vector< vector<unsigned int> > & cells,\
																  vector<float> & vx, vector<float> & vy, vector<float> & vz );
template void  first_mesh::medium_neighbours<double,unsigned int>(const vector<double> & pts, const vector< vector<unsigned int> > & localTri, const vector< vector<unsigned int> > & cells,\
																  vector<double> & vx, vector<double> & vy, vector<double> & vz );
																  

//find neighbours
template vector< vector<short> >  first_mesh::findNeighbours<short>(const vector< vector<short> > & triangles, const unsigned int & N);
template vector< vector<unsigned int> >  first_mesh::findNeighbours<unsigned int>(const vector< vector<unsigned int> > & triangles, const unsigned int & N);
template vector< vector<int> >  first_mesh::findNeighbours<int>(const vector< vector<int> > & triangles, const unsigned int & N);
																  
template vector< vector<short> >  first_mesh::findNeighbourTriangles<short>(const vector< vector<short> > & triangles, const unsigned int & N);
template vector< vector<unsigned int> >  first_mesh::findNeighbourTriangles<unsigned int>(const vector< vector<unsigned int> > & triangles, const unsigned int & N);
template vector< vector<int> >  first_mesh::findNeighbourTriangles<int>(const vector< vector<int> > & triangles, const unsigned int & N);			

template void first_mesh::maxTriangle<float, short>(const vector<float> & pts, const vector< vector<short> > & localTri, const vector< vector<short> > & cells,vector<float> & vx, vector<float> & vy, vector<float> & vz );
template void first_mesh::maxTriangle<float, unsigned int>(const vector<float> & pts, const vector< vector<unsigned int> > & localTri, const vector< vector<unsigned int> > & cells,vector<float> & vx, vector<float> & vy, vector<float> & vz );
template void first_mesh::maxTriangle<double, short>(const vector<double> & pts, const vector< vector<short> > & localTri, const vector< vector<short> > & cells,vector<double> & vx, vector<double> & vy, vector<double> & vz );
template void first_mesh::maxTriangle<double, unsigned int>(const vector<double> & pts, const vector< vector<unsigned int> > & localTri, const vector< vector<unsigned int> > & cells,vector<double> & vx, vector<double> & vy, vector<double> & vz );


template bool first_mesh::self_intersection_test<float, short>(const vector< vector<short> > & tri_cells, const vector<float> & pts  );
template bool first_mesh::self_intersection_test<float, unsigned int>(const vector< vector<unsigned int> > & tri_cells, const vector<float> & pts  );
template bool first_mesh::self_intersection_test<double, short>(const vector< vector<short> > & tri_cells, const vector<double> & pts  );
template bool first_mesh::self_intersection_test<double, unsigned int>(const vector< vector<unsigned int> > & tri_cells, const vector<double> & pts  );


/*
template short pointTest<float>(const float & px_0, const float & py_0, const float & pz_0, const float & px_1, const float & py_1, const float & pz_1, \
				const float & px_2, const float & py_2, const float & pz_2, const float & nx, const float & ny, const float & nz, \
				float & p0_x, float & p0_y, float & p0_z, float & dx, float & dy, float & dz);
template short pointTest<double>(const double & px_0, const double & py_0, const double & pz_0, const double & px_1, const double & py_1, const double & pz_1, \
				const double & px_2, const double & py_2, const double & pz_2, const double & nx, const double & ny, const double & nz,\
				double & p0_x, double & p0_y, double & p0_z, double & dx, double & dy, double & dz);
*/


}