// Sequential blob analysis 
// Reads parallel simulation data and performs connectivity analysis
// and averaging on a blob-by-blob basis
// James E. McClure 2014

#include <iostream>
#include <math.h>
#include "pmmc.h"
//#include "Domain.h"

#define NUM_AVERAGES 30

using namespace std;


inline void ReadCheckpoint(char *FILENAME, double *cDen, double *cDistEven, double *cDistOdd, int N)
{
	int q,n;
	double value;
	ifstream File(FILENAME,ios::binary);
	for (n=0; n<N; n++){
		// Write the two density values
		File.read((char*) &value, sizeof(value));
		cDen[n] = value;
	//	if (n== 66276)	printf("Density a  = %f \n",value);
		File.read((char*) &value, sizeof(value));
		cDen[N+n] = value;
	//	if (n== 66276)	printf("Density b  = %f \n",value);
		// Read the even distributions
		for (q=0; q<10; q++){
			File.read((char*) &value, sizeof(value));
			cDistEven[q*N+n] = value;
	//		if (n== 66276)	printf("dist even %i  = %f \n",q,value);
		}
		// Read the odd distributions
		for (q=0; q<9; q++){
			File.read((char*) &value, sizeof(value));
			cDistOdd[q*N+n] = value;
	//		if (n== 66276)	printf("dist even %i  = %f \n",q,value);
		}
	}
	File.close();
}

inline void ReadBinaryFile(char *FILENAME, double *Data, int N)
{
	int n;
	double value;
	ifstream File(FILENAME,ios::binary);
	for (n=0; n<N; n++){
		// Write the two density values
		File.read((char*) &value, sizeof(value));
		Data[n] = value;

	}
	File.close();
}

inline void SetPeriodicBC(DoubleArray &Scalar, int nx, int ny, int nz){
	
	int i,j,k,in,jn,kn;
	for (k=0; k<nz; k++){
		for (j=0; j<ny; j++){
			for (i=0; i<nx; i++){
				in = i; jn=j; kn=k;
				if (i==0) in = nx-2 ;
				else if (i==nx-1) in = 0;
				if (j==0) jn = ny-2;
				else if (j==ny-1) jn = 0;
				if (k==0) kn = nz-2;
				else if (k==nz-1) kn = 0;	
				Scalar(i,j,k) = Scalar(in,jn,kn);
			}
		}
	}
}
inline void ReadFromRank(char *FILENAME, DoubleArray &Phase, DoubleArray &Pressure, DoubleArray &Vel_x, 
							DoubleArray &Vel_y, DoubleArray &Vel_z, int nx, int ny, int nz, int iproc, int
							jproc, int kproc)
{
	int i,j,k,q,n,N;
	int iglobal,jglobal,kglobal;
	double value;
	double denA,denB;
	double f0,f1,f2,f3,f4,f5,f6,f7,f8,f9;
	double f10,f11,f12,f13,f14,f15,f16,f17,f18;
	double vx,vy,vz;
	
	N = nx*ny*nz;
	
	double *Den, *DistEven, *DistOdd;
	
	Den = new double[2*N];
	DistEven = new double[10*N];
	DistOdd = new double[9*N];

	ifstream File(FILENAME,ios::binary);
	for (n=0; n<N; n++){
		// Write the two density values
		File.read((char*) &value, sizeof(value));
		Den[2*n] = value;
		//	if (n== 66276)	printf("Density a  = %f \n",value);
		File.read((char*) &value, sizeof(value));
		Den[2*n+1] = value;

		//	if (n== 66276)	printf("Density b  = %f \n",value);
		// Read the even distributions
		for (q=0; q<10; q++){
			File.read((char*) &value, sizeof(value));
			DistEven[q*N+n] = value;
		}
		// Read the odd distributions
		for (q=0; q<9; q++){
			File.read((char*) &value, sizeof(value));
			DistOdd[q*N+n] = value;
		}
	}
	File.close();
	
	// Compute the phase field, pressure and velocity
	for (k=1; k<nz-1; k++){
		for (j=1; j<ny-1; j++){
			for (i=1; i<nz-1; i++){
				//........................................................................
				n = k*nx*ny+j*nx+i;
				//........................................................................
				denA = Den[n];
				denB = Den[N+n];
				//........................................................................
				f0 = DistEven[n];
				f2 = DistEven[N+n];
				f4 = DistEven[2*N+n];
				f6 = DistEven[3*N+n];
				f8 = DistEven[4*N+n];
				f10 = DistEven[5*N+n];
				f12 = DistEven[6*N+n];
				f14 = DistEven[7*N+n];
				f16 = DistEven[8*N+n];
				f18 = DistEven[9*N+n];
				//........................................................................
				f1 = DistOdd[n];
				f3 = DistOdd[1*N+n];
				f5 = DistOdd[2*N+n];
				f7 = DistOdd[3*N+n];
				f9 = DistOdd[4*N+n];
				f11 = DistOdd[5*N+n];
				f13 = DistOdd[6*N+n];
				f15 = DistOdd[7*N+n];
				f17 = DistOdd[8*N+n];
				//........................................................................
				//.................Compute the pressure....................................
				value = 0.3333333333333333*(f0+f2+f1+f4+f3+f6+f5+f8+f7+f10+f9+f12+f11+f14+f13+f16+f15+f18+f17);
				//........................................................................
				//.................Compute the velocity...................................
				vx = f1-f2+f7-f8+f9-f10+f11-f12+f13-f14;
				vy = f3-f4+f7-f8-f9+f10+f15-f16+f17-f18;
				vz = f5-f6+f11-f12-f13+f14+f15-f16-f17+f18;
				//........................................................................
				// save values in global arrays
				//........................................................................
				iglobal = iproc*(nx-2)+i;
				jglobal = jproc*(ny-2)+j;
				kglobal = kproc*(nz-2)+k;
				//........................................................................				
				Phase(iglobal,jglobal,kglobal) = (denA+denB)/(denA-denB);
				Pressure(iglobal,jglobal,kglobal) = value;
				Vel_x(iglobal,jglobal,kglobal) = vx;
				Vel_y(iglobal,jglobal,kglobal) = vy;
				Vel_z(iglobal,jglobal,kglobal) = vz;
				//........................................................................
			}
		}
	}
	
	delete Den;
	delete DistEven;
	delete DistOdd;
}

int main(int argc, char **argv)
{
	printf("----------------------------------------------------------\n");
	printf("COMPUTING TCAT ANALYSIS FOR NON-WETTING PHASE FEATURES \n");
	printf("----------------------------------------------------------\n");

	//.......................................................................
	int nprocx,nprocy,nprocz,nprocs;
	int Nx, Ny, Nz;
	int nx,ny,nz;
	int nspheres;
	double Lx,Ly,Lz;
	//.......................................................................
	int i,j,k,n,p,idx;
	int iproc,jproc,kproc;
	//.......................................................................
	// Reading the domain information file
	//.......................................................................
	ifstream domain("Domain.in");
	domain >> nprocx;
	domain >> nprocy;
	domain >> nprocz;
	domain >> nx;
	domain >> ny;
	domain >> nz;
	domain >> nspheres;
	domain >> Lx;
	domain >> Ly;
	domain >> Lz;
	//.......................................................................

	nx+=2;
	ny+=2;
	nz+=2;
	
	nprocs = nprocx*nprocy*nprocz;
	printf("Number of MPI ranks: %i \n", nprocs);
	Nx = (nx-2)*nprocx+2;
	Ny = (ny-2)*nprocy+2;
	Nz = (nz-2)*nprocz+2;
	printf("Full domain size: %i x %i x %i  \n", Nx,Ny,Nz);
	
	DoubleArray Phase(Nx,Ny,Nz);
	DoubleArray SignDist(Nx,Ny,Nz);
	DoubleArray Press(Nx,Ny,Nz);
	DoubleArray Vel_x(Nx,Ny,Nz);			// Velocity
	DoubleArray Vel_y(Nx,Ny,Nz);
	DoubleArray Vel_z(Nx,Ny,Nz);
	DoubleArray dPdt(Nx,Ny,Nz);
	
	// Filenames used
	char LocalRankString[8];
	char LocalRankFilename[40];
	char LocalRestartFile[40];
	char BaseFilename[20];
	char tmpstr[10];
	sprintf(BaseFilename,"%s","dPdt.");
	                 
	int proc,iglobal,kglobal,jglobal;

	double * Temp;
	Temp = new double[nx*ny*nz];
	
	for (k=0; k<Nz; k++){
		for (j=0; j<Ny; j++){
			for (i=0; i<Nx; i++){
				SignDist(i,j,k) = -100.0;
			}
		}
	}
	
#ifdef GENTEST
	// Fill the arrays with test data
	double minValue;
	for (k=0; k<Nz; k++){
		for (j=0; j<Ny; j++){
			for (i=0; i<Nx; i++){
				SignDist(i,j,k) = 100.0;
				
				minValue = sqrt((1.0*i-0.3*Nx)*(1.0*i-0.3*Nx)+(1.0*j-0.3*Ny)*(1.0*j-0.3*Ny)
						+(1.0*k-0.3*Nz)*(1.0*k-0.3*Nz))-0.1*Nx;
				
				if (sqrt((1.0*i-0.7*Nx)*(1.0*i-0.7*Nx)+(1.0*j-0.7*Ny)*(1.0*j-0.7*Ny)
						+(1.0*k-0.7*Nz)*(1.0*k-0.7*Nz))-0.2*Nx < minValue){
					minValue = sqrt((1.0*i-0.7*Nx)*(1.0*i-0.7*Nx)+(1.0*j-0.7*Ny)*(1.0*j-0.7*Ny)
							+(1.0*k-0.7*Nz)*(1.0*k-0.7*Nz))-0.2*Nx;
				}
				
				if (sqrt((1.0*i-0.2*Nx)*(1.0*i-0.2*Nx)+(1.0*j-0.7*Ny)*(1.0*j-0.7*Ny)
						+(1.0*k-0.6*Nz)*(1.0*k-0.6*Nz))-0.13*Nx < minValue){
					minValue = sqrt((1.0*i-0.2*Nx)*(1.0*i-0.2*Nx)+(1.0*j-0.7*Ny)*(1.0*j-0.7*Ny)
							+(1.0*k-0.6*Nz)*(1.0*k-0.6*Nz))-0.13*Nx;
				}
				
				if (sqrt((1.0*i-0.7*Nx)*(1.0*i-0.7*Nx)+(1.0*j-0.3*Ny)*(1.0*j-0.3*Ny)
						+(1.0*k-0.7*Nz)*(1.0*k-0.7*Nz))-0.17*Nx < minValue){
					minValue = sqrt((1.0*i-0.7*Nx)*(1.0*i-0.7*Nx)+(1.0*j-0.3*Ny)*(1.0*j-0.3*Ny)
							+(1.0*k-0.7*Nz)*(1.0*k-0.7*Nz))-0.17*Nx;
				}
				
				if (minValue < -1.0)		Phase(i,j,k) = 1.0;
				else if (minValue < 1.0)	Phase(i,j,k) = -minValue;
				else 						Phase(i,j,k) = -1.0;
				
				if (Phase(i,j,k) > 0.0){
					Press(i,j,k) = 0.34;
				}
				else {
					Press(i,j,k) = 0.32;
				}
			}
		}
	}
#else
	// read the files and populate main arrays
	for ( kproc=0; kproc<nprocz; kproc++){
		for ( jproc=0; jproc<nprocy; jproc++){
			for ( iproc=0; iproc<nprocx; iproc++){
				
				proc = kproc*nprocx*nprocy + jproc*nprocx + iproc;

				sprintf(LocalRankString,"%05d",proc);
				sprintf(LocalRankFilename,"%s%s","dPdt.",LocalRankString);
	//			printf("Reading file %s \n",LocalRankFilename);
				ReadBinaryFile(LocalRankFilename, Temp, nx*ny*nz);
				for (k=1; k<nz-1; k++){
					for (j=1; j<ny-1; j++){
						for (i=1; i<nz-1; i++){
							//........................................................................
							n = k*nx*ny+j*nx+i;
							//........................................................................
							iglobal = iproc*(nx-2)+i;
							jglobal = jproc*(ny-2)+j;
							kglobal = kproc*(nz-2)+k;
							//........................................................................
							dPdt(iglobal,jglobal,kglobal) = Temp[n]; 
							//........................................................................
						}
					}
				}
				
				sprintf(LocalRankFilename,"%s%s","SignDist.",LocalRankString);
		//		printf("Reading file %s \n",LocalRankFilename);
		//		printf("Sub-domain size: %i x %i x %i  \n", nx,ny,nz);
				ReadBinaryFile(LocalRankFilename, Temp, nx*ny*nz);	
				for (k=1; k<nz-1; k++){
					for (j=1; j<ny-1; j++){
						for (i=1; i<nz-1; i++){

							//........................................................................
							n = k*nx*ny+j*nx+i;
							//........................................................................
							iglobal = iproc*(nx-2)+i;
							jglobal = jproc*(ny-2)+j;
							kglobal = kproc*(nz-2)+k;
							//........................................................................
							SignDist(iglobal,jglobal,kglobal) = Temp[n];
							//........................................................................
						}
					}
				}
				
				sprintf(LocalRankFilename,"%s%s","Restart.",LocalRankString);

				ReadFromRank(LocalRankFilename,Phase,Press,Vel_x,Vel_y,Vel_z,nx,ny,nz,iproc,jproc,kproc);
			}
		}
	}
	printf("Read %i ranks of %s \n",nprocs,BaseFilename);
#endif
	
	delete Temp;
	
	IntArray LocalBlobID(Nx,Ny,Nz);
	DoubleArray MeanCurvature(Nx,Ny,Nz);
	DoubleArray GaussCurvature(Nx,Ny,Nz);
	DoubleArray SignDist_x(Nx,Ny,Nz);		// Gradient of the signed distance
	DoubleArray SignDist_y(Nx,Ny,Nz);
	DoubleArray SignDist_z(Nx,Ny,Nz);
	DoubleArray Phase_x(Nx,Ny,Nz);			// Gradient of the phase indicator field
	DoubleArray Phase_y(Nx,Ny,Nz);
	DoubleArray Phase_z(Nx,Ny,Nz);

	SetPeriodicBC(SignDist, Nx, Ny, Nz);
	SetPeriodicBC(Phase, Nx, Ny, Nz);
	
	//...........................................................................
	// Compute the gradients of the phase indicator and signed distance fields
	//...........................................................................
	pmmc_MeshGradient(Phase,Phase_x,Phase_y,Phase_z,Nx,Ny,Nz);
	pmmc_MeshGradient(SignDist,SignDist_x,SignDist_y,SignDist_z,Nx,Ny,Nz);
	//...........................................................................
	// Compute the mesh curvature of the phase indicator field
	pmmc_MeshCurvature(Phase, MeanCurvature, GaussCurvature, Nx, Ny, Nz);
	//...........................................................................
	
	SetPeriodicBC(MeanCurvature, Nx, Ny, Nz);
	SetPeriodicBC(GaussCurvature, Nx, Ny, Nz);
	SetPeriodicBC(SignDist_x, Nx, Ny, Nz);
	SetPeriodicBC(SignDist_y, Nx, Ny, Nz);
	SetPeriodicBC(SignDist_z, Nx, Ny, Nz);
	SetPeriodicBC(Phase_x, Nx, Ny, Nz);
	SetPeriodicBC(Phase_y, Nx, Ny, Nz);
	SetPeriodicBC(Phase_z, Nx, Ny, Nz);
	
/*	for (k=0; k<Nz; k++){
		for (j=0; j<Ny; j++){
			for (i=0; i<Nx; i++){
				if (i==0) 		SignDist(i,j,k) = -2.0;
				if (j==0) 		SignDist(i,j,k) = -2.0; 
				if (k==0) 		SignDist(i,j,k) = -2.0;
				if (i==Nx-1) 	SignDist(i,j,k) = -2.0;
				if (j==Ny-1) 	SignDist(i,j,k) = -2.0;
				if (k==Nz-1) 	SignDist(i,j,k) = -2.0;	
			}
		}
	}
*/
	// Initialize the local blob ID
	// Initializing the blob ID
	for (k=0; k<Nz; k++){
		for (j=0; j<Ny; j++){
			for (i=0; i<Nx; i++){
				if (SignDist(i,j,k) < 0.0){
					// Solid phase 
					LocalBlobID(i,j,k) = -2;
				}
				else{
					LocalBlobID(i,j,k) = -1;
				}
			}
		}
	}

	/* ****************************************************************
	 VARIABLES FOR THE PMMC ALGORITHM
	 ****************************************************************** */
	//...........................................................................
	// Averaging variables
	//...........................................................................
	double awn,ans,aws,lwns,nwp_volume;
	double sw,vol_n,vol_w,paw,pan;
	double efawns,Jwn,Kwn;
	double trawn,trJwn,trRwn;
	double As,dummy;
	double dEs,dAwn,dAns;	// Global surface energy (calculated by rank=0)
	//	bool add=1;			// Set to false if any corners contain nw-phase ( F > fluid_isovalue)
	
	int n_nw_pts=0,n_ns_pts=0,n_ws_pts=0,n_nws_pts=0, map=0;
	int n_nw_tris=0, n_ns_tris=0, n_ws_tris=0, n_nws_seg=0;
	
	double s,s1,s2,s3;		// Triangle sides (lengths)
	Point A,B,C,P;
	//	double area;
	int cube[8][3] = {{0,0,0},{1,0,0},{0,1,0},{1,1,0},{0,0,1},{1,0,1},{0,1,1},{1,1,1}};  // cube corners
	//	int count_in=0,count_out=0;
	//	int nodx,nody,nodz;
	// initialize lists for vertices for surfaces, common line
	DTMutableList<Point> nw_pts(20);
	DTMutableList<Point> ns_pts(20);
	DTMutableList<Point> ws_pts(20);
	DTMutableList<Point> nws_pts(20);
	// initialize triangle lists for surfaces
	IntArray nw_tris(3,20);
	IntArray ns_tris(3,20);
	IntArray ws_tris(3,20);
	// initialize list for line segments
	IntArray nws_seg(2,20);
	DTMutableList<Point> tmp(20);
	
	// Initialize arrays for local solid surface
	DTMutableList<Point> local_sol_pts(20);
	int n_local_sol_pts = 0;
	IntArray local_sol_tris(3,18);
	int n_local_sol_tris;
	DoubleArray values(20);
	DTMutableList<Point> local_nws_pts(20);
	int n_local_nws_pts;
	
	DoubleArray CubeValues(2,2,2);
	DoubleArray Values(20);
	DoubleArray ContactAngle(20);
	DoubleArray Curvature(20);
	DoubleArray DistValues(20);
	DoubleArray InterfaceSpeed(20);
	DoubleArray NormalVector(60);
	DoubleArray van(3);
	DoubleArray vaw(3);
	DoubleArray vawn(3);
	DoubleArray Gwn(6);
	DoubleArray Gns(6);
	DoubleArray Gws(6);
	//...........................................................................
	
	printf("Execute blob identification algorithm... \n");

	/* ****************************************************************
				IDENTIFY ALL BLOBS: F > vF, S > vS
	****************************************************************** */
	// Find blob domains, number of blobs
	int nblobs = 0;					// number of blobs
	int ncubes = 0;					// total number of nodes in any blob
	int N = (Nx-1)*(Ny-1)*(Nz-1);		// total number of nodes
	IntArray blobs(3,N);	// store indices for blobs (cubes)
	IntArray temp(3,N);	// temporary storage array
	IntArray  b(50);		// number of nodes in each blob
	
/*	std::vector<int> BlobList;
	BlobList.reserve[10000];

	std::vector<int> TempBlobList;
	TempBlobList.reserve[10000];
*/
	double vF=0.0;
	double vS=0.0;
	double trimdist=1.0;
	// Loop over z=0 first -> blobs attached to this end considered "connected" for LB simulation
	i=0;
	int number=0;
	for (k=0;k<1;k++){
		for (j=0;j<Ny;j++){
			if ( Phase(i,j,k) > vF ){
				if ( SignDist(i,j,k) > vS ){
					// node i,j,k is in the porespace
					number = number+ComputeBlob(blobs,nblobs,ncubes,LocalBlobID,Phase,SignDist,vF,vS,i,j,k,temp);
				}
			}
		}
	}
	// Specify the blob on the z axis
	if (ncubes > 0){
		b(nblobs) = number;
//		BlobList.push_back[number];
		printf("Number of non-wetting phase blobs is: %i \n",nblobs-1);
		nblobs++;
	}
	for (k=0;k<Nz;k++){
		for (j=0;j<Ny;j++){
			for (i=1;i<Nx;i++){
				if ( LocalBlobID(i,j,k) == -1 ){
					if ( Phase(i,j,k) > vF ){
						if ( SignDist(i,j,k) > vS ){
							// node i,j,k is in the porespace
							b(nblobs) = ComputeBlob(blobs,nblobs,ncubes,LocalBlobID,Phase,SignDist,vF,vS,i,j,k,temp);
							nblobs++;
						}
					}
				}
				// Otherwise, this point has already been assigned - ignore

				// Make sure list blob_nodes is large enough
				if ( nblobs > b.Length-1){
					printf("Increasing size of blob list \n");
					b = IncreaseSize(b,b.Length);
				}
			}
		}
	}
	// Go over all cubes again -> add any that do not contain nw phase
	bool add=1;			// Set to false if any corners contain nw-phase ( F > vF)
//	int cube[8][3] = {{0,0,0},{1,0,0},{0,1,0},{1,1,0},{0,0,1},{1,0,1},{0,1,1},{1,1,1}};  // cube corners
	int count_in=0,count_out=0;
	int nodx,nody,nodz;
	for (k=0;k<Nz-1;k++){
		for (j=0;j<Ny-1;j++){
			for (i=0;i<Nx-1;i++){
				// Loop over cube corners
				add=1;				// initialize to true - add unless corner occupied by nw-phase
				for (p=0;p<8;p++){
					nodx=i+cube[p][0];
					nody=j+cube[p][1];
					nodz=k+cube[p][2];
					if ( LocalBlobID(nodx,nody,nodz) > -1 ){
						// corner occupied by nw-phase  -> do not add
						add = 0;
					}
				}
				if ( add == 1 ){
					blobs(0,ncubes) = i;
					blobs(1,ncubes) = j;
					blobs(2,ncubes) = k;
					ncubes++;
					count_in++;
				}
				else { count_out++; }
			}
		}
	}
	b(nblobs) = count_in;
	nblobs++;
	
	DoubleArray BlobAverages(NUM_AVERAGES,nblobs);

	/* ****************************************************************
			RUN TCAT AVERAGING ON EACH BLOB
	****************************************************************** */
	int n_nw_tris_beg, n_ns_tris_beg, n_ws_tris_beg, n_nws_seg_beg;
	int start=0,finish;
	int a,c;
	int newton_steps = 0;
	double blob_volume;
	
	printf("-----------------------------------------------\n");
	printf("Computing TCAT averages based on connectivity \n");
	printf("The number of non-wetting phase features is %i \n",nblobs-1);
	printf("-----------------------------------------------\n");

	// Wetting phase averages assume global connectivity
	vol_w = 0.0;
	aws = 0.0;
	vaw(0) = vaw(1) = vaw(2) = 0.0;
	Gws(0) = Gws(1) = Gws(2) = 0.0;
	Gws(3) = Gws(4) = Gws(5) = 0.0;	

	// Don't compute the last blob unless specified
	// the last blob is the entire wetting phase
	nblobs -=1;
#ifdef WP
	nblobs+=1;
#endif
	
	for (a=0;a<nblobs;a++){
		
		finish = start+b(a);

		/* ****************************************************************
		 RUN PMMC ON EACH BLOB
		 ****************************************************************** */

		// Store beginning points for surfaces for blob p
		n_nw_tris_beg = n_nw_tris;
		n_ns_tris_beg = n_ns_tris;
		n_ws_tris_beg = n_ws_tris;
		n_nws_seg_beg = n_nws_seg;
		// Loop over all cubes
		blob_volume = 0;	// Initialize the volume for blob a to zero
		nwp_volume = 0.0;
		As = 0.0;
		
		// Compute phase averages
		vol_n =0.0;
		pan = paw = 0.0;
		awn  = ans = lwns = 0.0;
		van(0) = van(1) = van(2) = 0.0;
		vawn(0) = vawn(1) = vawn(2) = 0.0;
		Gwn(0) = Gwn(1) = Gwn(2) = 0.0;
		Gwn(3) = Gwn(4) = Gwn(5) = 0.0;
		Gns(0) = Gns(1) = Gns(2) = 0.0;
		Gns(3) = Gns(4) = Gns(5) = 0.0;
		Jwn = Kwn = efawns = 0.0;
		trJwn = trawn = trRwn = 0.0;
		
		for (c=start;c<finish;c++){
			// Get cube from the list
			i = blobs(0,c);
			j = blobs(1,c);
			k = blobs(2,c);
	
			// Use the cube to compute volume averages
			for (p=0;p<8;p++){
				if ( SignDist(i+cube[p][0],j+cube[p][1],k+cube[p][2]) > 0 ){

					// 1-D index for this cube corner
					n = i+cube[p][0] + (j+cube[p][1])*Nx + (k+cube[p][2])*Nx*Ny;

					// Compute the non-wetting phase volume contribution
					if ( Phase(i+cube[p][0],j+cube[p][1],k+cube[p][2]) > 0 )
						nwp_volume += 0.125;

					// volume averages over the non-wetting phase
					if ( Phase(i+cube[p][0],j+cube[p][1],k+cube[p][2]) > 0.99 ){
						// volume the excludes the interfacial region
						vol_n += 0.125;
						// pressure
						pan += 0.125*Press.data[n];
						// velocity
						van(0) += 0.125*Vel_x.data[n];
						van(1) += 0.125*Vel_y.data[n];
						van(2) += 0.125*Vel_z.data[n];
					}

					// volume averages over the wetting phase
					if ( Phase(i+cube[p][0],j+cube[p][1],k+cube[p][2]) < -0.99 ){
						// volume the excludes the interfacial region
						vol_w += 0.125;
						// pressure
						paw += 0.125*Press.data[n];
						// velocity
						vaw(0) += 0.125*Vel_x.data[n];
						vaw(1) += 0.125*Vel_y.data[n];
						vaw(2) += 0.125*Vel_z.data[n];
					}
				}
			}

			// Interface and common curve averages
			n_local_sol_tris = 0;
			n_local_sol_pts = 0;
			n_local_nws_pts = 0;
	
			//...........................................................................
			// Construct the interfaces and common curve
			pmmc_ConstructLocalCube(SignDist, Phase, vS, vF,
					nw_pts, nw_tris, values, ns_pts, ns_tris, ws_pts, ws_tris,
					local_nws_pts, nws_pts, nws_seg, local_sol_pts, local_sol_tris,
					n_local_sol_tris, n_local_sol_pts, n_nw_pts, n_nw_tris,
					n_ws_pts, n_ws_tris, n_ns_tris, n_ns_pts, n_local_nws_pts, n_nws_pts, n_nws_seg,
					i, j, k, Nx, Ny, Nz);

			// Integrate the contact angle
			efawns += pmmc_CubeContactAngle(CubeValues,Values,Phase_x,Phase_y,Phase_z,SignDist_x,SignDist_y,SignDist_z,
											local_nws_pts,i,j,k,n_local_nws_pts);

			// Integrate the mean curvature
			Jwn    += pmmc_CubeSurfaceInterpValue(CubeValues,MeanCurvature,nw_pts,nw_tris,Values,i,j,k,n_nw_pts,n_nw_tris);
			Kwn    += pmmc_CubeSurfaceInterpValue(CubeValues,GaussCurvature,nw_pts,nw_tris,Values,i,j,k,n_nw_pts,n_nw_tris);

			// Integrate the trimmed mean curvature (hard-coded to use a distance of 4 pixels)
			pmmc_CubeTrimSurfaceInterpValues(CubeValues,MeanCurvature,SignDist,nw_pts,nw_tris,Values,DistValues,
						i,j,k,n_nw_pts,n_nw_tris,trimdist,trawn,trJwn);
			
			pmmc_CubeTrimSurfaceInterpInverseValues(CubeValues,MeanCurvature,SignDist,nw_pts,nw_tris,Values,DistValues,
						i,j,k,n_nw_pts,n_nw_tris,trimdist,dummy,trRwn);
			
			// Compute the normal speed of the interface
			pmmc_InterfaceSpeed(dPdt, Phase_x, Phase_y, Phase_z, CubeValues, nw_pts, nw_tris,
								NormalVector, InterfaceSpeed, vawn, i, j, k, n_nw_pts, n_nw_tris);
			
			As  += pmmc_CubeSurfaceArea(local_sol_pts,local_sol_tris,n_local_sol_tris);

			// Compute the surface orientation and the interfacial area
			awn += pmmc_CubeSurfaceOrientation(Gwn,nw_pts,nw_tris,n_nw_tris);
			ans += pmmc_CubeSurfaceOrientation(Gns,ns_pts,ns_tris,n_ns_tris);
			aws += pmmc_CubeSurfaceOrientation(Gws,ws_pts,ws_tris,n_ws_tris);
			lwns +=  pmmc_CubeCurveLength(local_nws_pts,n_local_nws_pts);
			//...........................................................................
	
			//*******************************************************************
			// Reset the triangle counts to zero
			n_nw_pts=0,n_ns_pts=0,n_ws_pts=0,n_nws_pts=0, map=0;
			n_nw_tris=0, n_ns_tris=0, n_ws_tris=0, n_nws_seg=0;
			
			n_nw_tris_beg = n_nw_tris;
			n_ns_tris_beg = n_ns_tris;
			n_ws_tris_beg = n_ws_tris;
			n_nws_seg_beg = n_nws_seg;
			//*******************************************************************
			
		}
		start = finish;

		if (vol_n > 0.0){
			pan /= vol_n;
			for (i=0;i<3;i++)	van(i) /= vol_n;
		}
		if (awn > 0.0){
			Jwn /= awn;
			Kwn /= awn;
			for (i=0;i<3;i++)	vawn(i) /= awn;
			for (i=0;i<6;i++)	Gwn(i) /= awn;
		}
	//	if (lwns > 0.0){
	//		efawns /= lwns;
	//	}
		if (ans > 0.0){
			for (i=0;i<6;i++)	Gns(i) /= ans;
		}
		if (trawn > 0.0){
			trJwn /= trawn;
		}
		
		BlobAverages(0,a) = nwp_volume;
		BlobAverages(1,a) = pan;
		BlobAverages(2,a) = awn;
		BlobAverages(3,a) = ans;
		BlobAverages(4,a) = Jwn;
		BlobAverages(5,a) = Kwn;
		BlobAverages(6,a) = lwns;
		BlobAverages(7,a) = efawns;
		BlobAverages(8,a) = van(0);
		BlobAverages(9,a) = van(1);
		BlobAverages(10,a) = van(2);
		BlobAverages(11,a) = vawn(0);
		BlobAverages(12,a) = vawn(1);
		BlobAverages(13,a) = vawn(2);
		BlobAverages(14,a) = Gwn(0);
		BlobAverages(15,a) = Gwn(1);
		BlobAverages(16,a) = Gwn(2);
		BlobAverages(17,a) = Gwn(3);
		BlobAverages(18,a) = Gwn(4);
		BlobAverages(19,a) = Gwn(5);
		BlobAverages(20,a) = Gns(0);
		BlobAverages(21,a) = Gns(1);
		BlobAverages(22,a) = Gns(2);
		BlobAverages(23,a) = Gns(3);
		BlobAverages(24,a) = Gns(4);
		BlobAverages(25,a) = Gns(5);
		BlobAverages(26,a) = trawn;
		BlobAverages(27,a) = trJwn;
		BlobAverages(28,a) = trRwn;

		printf("Computed TCAT averages for feature = %i \n", a);
		
	}  // End of the blob loop
		
	printf("-----------------------------------------------\n");
	printf("Sorting the blobs based on volume \n");
	printf("-----------------------------------------------\n");
	int TempLabel,aa,bb;
	double TempValue;
	IntArray OldLabel(nblobs);
	for (a=0; a<nblobs; a++)	OldLabel(a) = a;
	// Sort the blob averages based on volume
	for (aa=0; aa<nblobs-1; aa++){
		for ( bb=aa+1; bb<nblobs; bb++){
			if (BlobAverages(0,aa) < BlobAverages(0,bb)){
				// Exchange location of blobs aa and bb
				//printf("Switch blob %i with %i \n", OldLabel(aa),OldLabel(bb));
				// switch the label
				TempLabel = OldLabel(bb);
				OldLabel(bb) = OldLabel(aa);
				OldLabel(aa) = TempLabel;
				// switch the averages
				for (idx=0; idx<NUM_AVERAGES; idx++){
					TempValue = BlobAverages(idx,bb);
					BlobAverages(idx,bb) = BlobAverages(idx,aa);
					BlobAverages(idx,aa) = TempValue;
				}
			}
		}		
	}
	
	IntArray NewLabel(nblobs);
	for (aa=0; aa<nblobs; aa++){
		// Match the new label for original blob aa
		bb=0;
		while (OldLabel(bb) != aa)	bb++;
		NewLabel(aa) = bb;
	}
	
	// Re-label the blob ID
	printf("Re-labeling the blobs, now indexed by volume \n");
	for (k=0; k<Nz; k++){
		for (j=0; j<Ny; j++){
			for (i=0; i<Nx; i++){
				if (LocalBlobID(i,j,k) > -1){
					TempLabel = NewLabel(LocalBlobID(i,j,k));
					LocalBlobID(i,j,k) = TempLabel;
				}
			}
		}
	}
		
	printf("-----------------------------------------------\n");
	FILE *BLOBLOG= fopen("blobs.tcat","a");
	for (a=0; a<nblobs; a++){
		//printf("Blob id =%i \n",a);
		//printf("Original Blob id = %i \n",OldLabel(a));
		//printf("Blob volume (voxels) = %f \n", BlobAverages(0,a));
		for (idx=0; idx<28; idx++){
			fprintf(BLOBLOG,"%.8g ",BlobAverages(idx,a));
		}
		fprintf(BLOBLOG,"\n");
	}
	printf("-----------------------------------------------\n");
	fclose(BLOBLOG);
	
	FILE *PHASE;
	PHASE = fopen("Blobs.dat","wb");
	fwrite(LocalBlobID.data,4,Nx*Ny*Nz,PHASE);
	fclose(PHASE);
	
}