#include<stdafx.h>
#include<stdio.h>
#include<math.h>
#include "fkn.h"
#include "fknDlg.h"
#include "complex.h"
#include "mesh.h"
#include "spars.h"
#include "FemmeDocCore.h"
#define Log log

// #define NEWTON

// since all node positions were converted to units of cm
// the proper LengthConv is converts centimeters to meters
#define LengthConv 0.01

void CFemmeDocCore::GetPrevAxiB(int k, double &B1p, double &B2p)
{
	// for axisymmetric incremental problem,
	// get flux density from the previous solution.
	// Code cribbed from CFemmviewDoc::GetElementB(CElement &elm) in femm source
	int i,n[3];
	double b[3],c[3],da;
	double v[6],dp,dq;
	double R[3],Z[3],r;

	for(i=0;i<3;i++) n[i]=meshele[k].p[i];

	b[0]=meshnode[n[1]].y - meshnode[n[2]].y;
	b[1]=meshnode[n[2]].y - meshnode[n[0]].y;
	b[2]=meshnode[n[0]].y - meshnode[n[1]].y;	
	c[0]=meshnode[n[2]].x - meshnode[n[1]].x;
	c[1]=meshnode[n[0]].x - meshnode[n[2]].x;
	c[2]=meshnode[n[1]].x - meshnode[n[0]].x;

	for(i=0,r=0;i<3;i++){
		R[i]=meshnode[n[i]].x;
		Z[i]=meshnode[n[i]].y;
		r+=R[i]/3.;
	}

	// corner nodes
	v[0]=Aprev[n[0]];
	v[2]=Aprev[n[1]];
	v[4]=Aprev[n[2]];

	// construct values for mid-side nodes;
	if ((R[0]<1.e-06) && (R[1]<1.e-06)) v[1]=(v[0]+v[2])/2.;
	else v[1]=(R[1]*(3.*v[0] + v[2]) + R[0]*(v[0] + 3.*v[2]))/
		 (4.*(R[0] + R[1]));

	if ((R[1]<1.e-06) && (R[2]<1.e-06)) v[3]=(v[2]+v[4])/2.;
	else v[3]=(R[2]*(3.*v[2] + v[4]) + R[1]*(v[2] + 3.*v[4]))/
		 (4.*(R[1] + R[2]));

	if ((R[2]<1.e-06) && (R[0]<1.e-06)) v[5]=(v[4]+v[0])/2.;
	else v[5]=(R[0]*(3.*v[4] + v[0]) + R[2]*(v[4] + 3.*v[0]))/
		(4.*(R[2] + R[0]));

	// derivatives w.r.t. p and q:
	dp=(-v[0] + v[2] + 4.*v[3] - 4.*v[5])/3.;
	dq=(-v[0] - 4.*v[1] + 4.*v[3] + v[4])/3.; 

	// now, compute flux.
	da=(b[0]*c[1]-b[1]*c[0]);
	da*=2.*PI*r*LengthConv*LengthConv;
	B1p=Re(-(c[1]*dp+c[2]*dq)/da);
	B2p=Re( (b[1]*dp+b[2]*dq)/da);
}

BOOL CFemmeDocCore::HarmonicAxisymmetric(CBigComplexLinProb &L)
{
	int i,j,k,s,flag,ww,Iter=0;
	int pctr;
	CComplex Mx[3][3],My[3][3],Mxy[3][3],Mn[3][3],Me[3][3],be[3];		// element matrices;
	double l[3],p[3],q[3];		// element shape parameters;
	int n[3];					// numbers of nodes for a particular element;
	double a,r,t,x,y,B,w,res,lastres,ds,R,rn[3],g[3],a_hat,R_hat,vol,Cduct;
	CComplex K,mu,dv,B1,B2,v[3],u[3],mu1,mu2,lag,halflag,deg45,Jv;
	CComplex **Mu,*V_old;
	double c=PI*4.e-05;
	double units[]={2.54,0.1,1.,100.,0.00254,1.e-04};
	CElement *El;
	BOOL LinearFlag=TRUE;
	BOOL bIncremental=FALSE;

	if (PrevSoln.GetLength()>0) bIncremental=TRUE;
	res=0;

// #ifndef NEWTON
	CComplex murel,muinc;
// #else
	CComplex Mnh[3][3];
	CComplex Mna[3][3];
	CComplex Mns[3][3];
// #endif

	extRo*=units[LengthUnits];
	extRi*=units[LengthUnits];
	extZo*=units[LengthUnits];

	deg45=1+I;
	w=Frequency*2.*PI;

	CComplex *CircInt1,*CircInt2,*CircInt3;


	// Can't handle LamType==1 or LamType==2 in AC problems.
	// Detect if this is being attempted.
	for(i=0;i<NumEls;i++)
	{
		if( (blockproplist[meshele[i].blk].LamType==1) ||
			(blockproplist[meshele[i].blk].LamType==2) ){
			MsgBox("On-edge lamination not supported in AC analyses");
			return FALSE;
		}
	}
	
	// Go through and evaluate permeability for regions subject to prox effects
	for(i=0;i<NumBlockLabels;i++) GetFillFactor(i);

	V_old=(CComplex *) calloc(NumNodes+NumCircProps,sizeof(CComplex));

	// check to see if any circuits have been defined and process them;
	if (NumCircProps>0)
	{
		CircInt1=(CComplex *)calloc(NumCircProps,sizeof(CComplex));
		CircInt2=(CComplex *)calloc(NumCircProps,sizeof(CComplex));
		CircInt3=(CComplex *)calloc(NumCircProps,sizeof(CComplex));
		for(i=0;i<NumEls;i++){
			if(meshele[i].lbl>=0)
			if(labellist[meshele[i].lbl].InCircuit!=-1){
				El=&meshele[i];
				
				// get element area;
				for(k=0;k<3;k++) n[k]=El->p[k];
				p[0]=meshnode[n[1]].y - meshnode[n[2]].y;
				p[1]=meshnode[n[2]].y - meshnode[n[0]].y;
				p[2]=meshnode[n[0]].y - meshnode[n[1]].y;	
				q[0]=meshnode[n[2]].x - meshnode[n[1]].x;
				q[1]=meshnode[n[0]].x - meshnode[n[2]].x;
				q[2]=meshnode[n[1]].x - meshnode[n[0]].x;
				a=(p[0]*q[1]-p[1]*q[0])/2.;
				r=(meshnode[n[0]].x+meshnode[n[1]].x+meshnode[n[2]].x)/3.;

				// if coils are wound, they act like they have
				// a zero "bulk" conductivity...
				Cduct=blockproplist[El->blk].Cduct;
				if (labellist[El->lbl].bIsWound) Cduct=0;
				
				// evaluate integrals;
				
				// total cross-section of circuit;
				CircInt1[labellist[El->lbl].InCircuit]+=a; 

				// integral of conductivity / R over the circuit;
				CircInt2[labellist[El->lbl].InCircuit]+=a*Cduct/(0.01*r);

				// integral of applied J over current;
				CircInt3[labellist[El->lbl].InCircuit]+=
					(blockproplist[El->blk].Jr+I*blockproplist[El->blk].Ji)*a*100.;
			}
		}

		for(i=0;i<NumCircProps;i++)
		{
			if (circproplist[i].CircType==0) // specified current
			{
				if(CircInt2[i]==0){ //circuit composed of zero cond. materials
					circproplist[i].Case=1;
					if (CircInt1[i]==0.) circproplist[i].J=0.;
					else circproplist[i].J=0.01*(
						(circproplist[i].Amps_re+I*circproplist[i].Amps_im) -
						 CircInt3[i])/CircInt1[i];
				}
				else{
					circproplist[i].Case=2; // need to include an extra
										    // entry in matrix to solve for
					                        // voltage grad in the circuit
				}
			}
			else{
				// case where voltage gradient is specified a priori...
				circproplist[i].Case=0;
				circproplist[i].dV=circproplist[i].dVolts_re +
								   I*circproplist[i].dVolts_im;
			}
		}
	}

	// compute effective permeability for each block type;
	Mu=(CComplex **)calloc(NumBlockProps,sizeof(CComplex *));
	for(i=0;i<NumBlockProps;i++) Mu[i]=(CComplex *)calloc(2,sizeof(CComplex));

	for(k=0;k<NumBlockProps;k++){

		if (blockproplist[k].LamType==0){
		
			Mu[k][0]=blockproplist[k].mu_x*exp(-I*blockproplist[k].Theta_hx*PI/180.);
			Mu[k][1]=blockproplist[k].mu_y*exp(-I*blockproplist[k].Theta_hy*PI/180.);
			
			if(blockproplist[k].Lam_d!=0){
				if (blockproplist[k].Cduct != 0){
					halflag=exp(-I*blockproplist[k].Theta_hx*PI/360.);
					ds=sqrt(2./(0.4*PI*w*blockproplist[k].Cduct*blockproplist[k].mu_x));
					K=halflag*deg45*blockproplist[k].Lam_d*0.001/(2.*ds);
					Mu[k][0]=((Mu[k][0]*tanh(K))/K)*blockproplist[k].LamFill +
						(1.-blockproplist[k].LamFill);
		
					halflag=exp(-I*blockproplist[k].Theta_hy*PI/360.);
					ds=sqrt(2./(0.4*PI*w*blockproplist[k].Cduct*blockproplist[k].mu_y));
					K=halflag*deg45*blockproplist[k].Lam_d*0.001/(2.*ds);
					Mu[k][1]=((Mu[k][1]*tanh(K))/K)*blockproplist[k].LamFill + 
						(1.-blockproplist[k].LamFill);
				}
				else{
					Mu[k][0]=Mu[k][0]*blockproplist[k].LamFill +
							(1.- blockproplist[k].LamFill);
					Mu[k][1]=Mu[k][1]*blockproplist[k].LamFill + 
							(1. - blockproplist[k].LamFill);
				}

			}
		}
		else{
			Mu[k][0]=1;
			Mu[k][1]=1;
		}
	}


do{

		TheView->SetDlgItemText(IDC_FRAME1,"Matrix Construction");
		TheView->m_prog1.SetPos(0);
		pctr=0;

   if (Iter>0) L.Wipe();

	// build element matrices using the matrices derived in Allaire's book.
	for(i=0;i<NumEls;i++){

		// update ``building matrix'' progress bar...
		j=(i*20)/NumEls+1;
		if(j>pctr){
			j=pctr*5; if (j>100) j=100;
			TheView->m_prog1.SetPos(j);
			pctr++;
		}

		// zero out Me, be;
		for(j=0;j<3;j++){
			for(k=0;k<3;k++)
			{
				Me[j][k]=0;
				Mx[j][k]=0;
				My[j][k]=0;
				Mxy[j][k]=0;
				Mn[j][k]=0;
// #ifdef NEWTON
				if (ACSolver==1){
					Mnh[j][k]=0;
					Mna[j][k]=0;
					Mns[j][k]=0;
				}
// #endif
			}
			be[j]=0;
		}

		// Determine shape parameters.
		// l == element side lengths;
		// p corresponds to the `b' parameter in Allaire
		// q corresponds to the `c' parameter in Allaire
		El=&meshele[i];		
	
		for(k=0;k<3;k++){
			n[k]=El->p[k];
			rn[k]=meshnode[n[k]].x;
		}
	
		p[0]=meshnode[n[1]].y - meshnode[n[2]].y;
		p[1]=meshnode[n[2]].y - meshnode[n[0]].y;
		p[2]=meshnode[n[0]].y - meshnode[n[1]].y;	
		q[0]=meshnode[n[2]].x - meshnode[n[1]].x;
		q[1]=meshnode[n[0]].x - meshnode[n[2]].x;
		q[2]=meshnode[n[1]].x - meshnode[n[0]].x;
		g[0]=(meshnode[n[2]].x + meshnode[n[1]].x)/2.;
		g[1]=(meshnode[n[0]].x + meshnode[n[2]].x)/2.;
		g[2]=(meshnode[n[1]].x + meshnode[n[0]].x)/2.;	

		for(j=0,k=1;j<3;k++,j++){
			if (k==3) k=0;
			l[j]=sqrt( pow(meshnode[n[k]].x-meshnode[n[j]].x,2.) +
					   pow(meshnode[n[k]].y-meshnode[n[j]].y,2.) );
		}
		a=(p[0]*q[1]-p[1]*q[0])/2.;
		R=(meshnode[n[0]].x+meshnode[n[1]].x+meshnode[n[2]].x)/3.;

		for(j=0,a_hat=0;j<3;j++) a_hat+=(rn[j]*rn[j]*p[j]/(4.*R));
		vol=2.*R*a_hat;

		for(j=0,flag=0;j<3;j++) if(rn[j]<1.e-06) flag++;
		switch(flag)
		{
			case 2:
				R_hat=R;

			break;

			case 1:

				if(rn[0]<1.e-06){
					if (fabs(rn[1]-rn[2])<1.e-06) R_hat=rn[2]/2.;
					else R_hat=(rn[1] - rn[2])/(2.*log(rn[1]) - 2.*log(rn[2]));
				}
				if(rn[1]<1.e-06){
					if (fabs(rn[2]-rn[0])<1.e-06) R_hat=rn[0]/2.;
					else R_hat=(rn[2] - rn[0])/(2.*log(rn[2]) - 2.*log(rn[0]));
				}
				if(rn[2]<1.e-06){
					if (fabs(rn[0]-rn[1])<1.e-06) R_hat=rn[1]/2.;
					else R_hat=(rn[0] - rn[1])/(2.*log(rn[0]) - 2.*log(rn[1]));
				}

			break;

			default:

				if (fabs(q[0])<1.e-06)
					R_hat=(q[1]*q[1])/(2.*(-q[1] + rn[0]*log(rn[0]/rn[2])));
				else if (fabs(q[1])<1.e-06)
					R_hat=(q[2]*q[2])/(2.*(-q[2] + rn[1]*log(rn[1]/rn[0])));
				else if (fabs(q[2])<1.e-06)
					R_hat=(q[0]*q[0])/(2.*(-q[0] + rn[2]*log(rn[2]/rn[1])));
			    else
					R_hat=-(q[0]*q[1]*q[2])/
						   (2.*(q[0]*rn[0]*log(rn[0]) + 
						        q[1]*rn[1]*log(rn[1]) + 
								q[2]*rn[2]*log(rn[2])));

			break;
		}

		// Mr Contribution
		// Derived from flux formulation with c0 + c1 r^2 + c2 z 
		// interpolation in the element.
		K=(-1./(2.*a_hat*R));
		for(j=0;j<3;j++)
			for(k=j;k<3;k++)
				Mx[j][k] += K*p[j]*rn[j]*p[k]*rn[k];

		// need this loop to avoid singularities.  This just puts something
		// on the main diagonal of nodes that are on the r=0 line.
		// The program later sets these nodes to zero, but it's good to
		// for scaling reasons to grab entries from the neighboring diagonals
		// rather than just setting these entries to 1 or something....
		for(j=0;j<3;j++)
			if (rn[j]<1.e-06) Mx[j][j]+=Mx[0][0]+Mx[1][1]+Mx[2][2];

		// Mz Contribution;  
		// Derived from flux formulation with c0 + c1 r^2 + c2 z 
		// interpolation in the element.
		K=(-1./(2.*a_hat*R_hat));
		for(j=0;j<3;j++)
			for(k=j;k<3;k++)
				My[j][k] += K*(q[j]*rn[j])*(q[k]*rn[k])*(g[j]/R)*(g[k]/R);

		// Mrz Contribution;  
		// Derived from flux formulation with c0 + c1 r^2 + c2 z 
		// interpolation in the element.
		K=(-1./(2.*a_hat*R_hat));
		for(j=0;j<3;j++)
			for(k=j;k<3;k++)
		//		My[j][k]  += K * ((q[j]*rn[j])*(g[j]/R)) * ((q[k]*rn[k])*(g[k]/R));
		//		Mx[j][j]  += K * (p[j]*rn[j]) * (p[k]*rn[k]);
				Mxy[j][k] += K*((q[j]*rn[j])*(g[j]/R))*(p[k]*rn[k]) + K*((q[k]*rn[k])*(g[k]/R))*(p[j]*rn[j]);

		// Fill out rest of entries of Mx, My and Mxy;
		Mx[1][0] =Mx[0][1];  Mx[2][0] =Mx[0][2];  Mx[2][1] =Mx[1][2];
		My[1][0] =My[0][1];  My[2][0] =My[0][2];  My[2][1] =My[1][2];
		Mxy[1][0]=Mxy[0][1]; Mxy[2][0]=Mxy[0][2]; Mxy[2][1]=Mxy[1][2];


		// contribution from eddy currents;
		// induced current interpolated as constant (avg. of nodal values)
		// over the entire element;
		K = -I*R*a*w*blockproplist[meshele[i].blk].Cduct*c/6.;

		// radially laminated blocks appear to have no conductivity;
		// eddy currents are accounted for in these elements by their
		// frequency-dependent permeability.
		if((blockproplist[El->blk].LamType==0) &&
			(blockproplist[El->blk].Lam_d>0)) K=0;
		
		// if this element is part of a wound coil, 
		// it should have a zero "bulk" conductivity...
		if(labellist[El->lbl].bIsWound) K=0;

		for(j=0;j<3;j++)
			for(k=0;k<3;k++)
				Me[j][k]+=K*4./3.;

		// contributions to Me, be from derivative boundary conditions;
		for(j=0;j<3;j++){
			k=j+1; if(k==3) k=0;
			r=(meshnode[n[j]].x+meshnode[n[k]].x)/2.;
			if (El->e[j] >= 0){

				if (lineproplist[El->e[j]].BdryFormat==2)
				{
					// conversion factor is 10^(-4) (I think...)
					
					K = -0.0001*c*2.*r*lineproplist[ El->e[j] ].c0*l[j]/6.;
					Me[j][j]+=2*K;
					Me[k][k]+=2*K;
					Me[j][k]+=K;
					Me[k][j]+=K;	
	
					K = (lineproplist[ El->e[j] ].c1*l[j]/2.)*2.*r*0.0001;
					be[j]+=K;
					be[k]+=K;
				}
			
				if (lineproplist[El->e[j]].BdryFormat==1)
				{
					ds=sqrt(2./(0.4*PI*w*lineproplist[El->e[j]].Sig*
						lineproplist[El->e[j]].Mu));
					K=deg45/(-ds*lineproplist[El->e[j]].Mu*100.);
					K*=(2.*r*l[j]/6.);
					Me[j][j]+=2*K;
					Me[k][k]+=2*K;
					Me[j][k]+=K;
					Me[k][j]+=K;
				}

			}
		}

		// contribution to be from current density in the block
		for(j=0;j<3;j++){
			Jv=0;
			if(labellist[El->lbl].InCircuit>=0)
			{
				k=labellist[El->lbl].InCircuit;
				if(circproplist[k].Case==1) Jv=circproplist[k].J;
				if(circproplist[k].Case==0)
					Jv=-100.*circproplist[k].dV*
					    blockproplist[El->blk].Cduct/R;
			}

			K=-2.*R*(blockproplist[El->blk].Jr+I*blockproplist[El->blk].Ji+Jv)*a/3.;
			be[j]+=K;

			if(labellist[El->lbl].InCircuit>=0){
				k=labellist[El->lbl].InCircuit;
				if(circproplist[k].Case==2)
					L.b[NumNodes+k]+=K/R;
			}
		}

		// do Case 2 circuit stuff for element
		if(labellist[El->lbl].InCircuit>=0){
			k=labellist[El->lbl].InCircuit;
			if(circproplist[k].Case==2){
				K=-2.*I*a*w*blockproplist[meshele[i].blk].Cduct*c;
				for(j=0;j<3;j++)
					L.Put(L.Get(n[j],NumNodes+k)+K/3.,n[j],NumNodes+k);
				L.Put(L.Get(NumNodes+k,NumNodes+k)+K/R,NumNodes+k,NumNodes+k);
			}
		}

/////////////////////////
//
//  Nonlinear Stuff
//
/////////////////////////

		// update permeability for the element;
		if (Iter==0){ 
			k=meshele[i].blk;
			meshele[i].mu1=Mu[k][0];
			meshele[i].mu2=Mu[k][1];
			meshele[i].v12=0;
			if (blockproplist[k].BHpoints > 0)
			{
				if (bIncremental==FALSE) LinearFlag=FALSE;
				else{
					double B1p,B2p;

					//	Get B from previous solution
					GetPrevAxiB(i,B1p,B2p);
					B = sqrt(B1p*B1p + B2p*B2p);

					// look up incremental permeability and assign it to the element;
				    blockproplist[k].IncrementalPermeability(B,w,muinc,murel);
					if (B==0)
					{	
						meshele[i].mu1=muinc;
						meshele[i].mu2=muinc;
						meshele[i].v12=0;
					}
					else{
						// need to actually compute B1 and B2 to build incremental permeability tensor
						meshele[i].mu1=B*B*muinc*murel/(B1p*B1p*murel + B2p*B2p*muinc);
						meshele[i].mu2=B*B*muinc*murel/(B1p*B1p*muinc + B2p*B2p*murel);
						meshele[i].v12=-B1p*B2p*(murel-muinc)/(B*B*murel*muinc);
					}

				}
			}
		}
		else{ 
			k=meshele[i].blk;
		
			if ((blockproplist[k].LamType==0) &&
			    (meshele[i].mu1==meshele[i].mu2)
				&&(blockproplist[k].BHpoints>0))
			{
				//	Derive B directly from energy;
				v[0]=0;v[1]=0;v[2]=0;
				for(j=0;j<3;j++)
					for(ww=0;ww<3;ww++)
						v[j]+=(Mx[j][ww]+My[j][ww])*L.V[n[ww]];
				for(j=0,dv=0;j<3;j++) dv+=conj(L.V[n[j]])*v[j];
				dv*=(10000.*c*c/vol); 
				B=sqrt(abs(dv));

// #ifdef NEWTON
				if (ACSolver==1)
				{
					// find out new mu from saturation curve;
					blockproplist[k].GetBHProps(B,mu,dv);
					mu=1./(muo*mu);
					meshele[i].mu1=mu;
					meshele[i].mu2=mu;
					for(j=0;j<3;j++){
						for(ww=0,v[j]=0;ww<3;ww++)
							v[j]+=(Mx[j][ww]+My[j][ww])*L.V[n[ww]];
					}

					// Newton iteration
					K=-200.*c*c*c*dv/vol;
					for(j=0;j<3;j++)
						for(ww=0;ww<3;ww++)
						{
							// Still compute Mn, the approximate N-R matrix used in
							// the complex-symmetric approx.  This will be useful
							// w.r.t. preconditioning.  However, subtract it off of Mnh and Mna
							// so that there is no net addition.
							Mn[j][ww] =K*Re(v[j]*conj(v[ww]));
							Mnh[j][ww]=  0.5*Re(K)*v[j]*conj(v[ww])-Re(Mn[j][ww]); 
							Mna[j][ww]=I*0.5*Im(K)*v[j]*conj(v[ww])-I*Im(Mn[j][ww]); 
							Mns[j][ww]=  0.5*K*v[j]*v[ww]; 
						}
				}
// #else
				else{
				   // find out new mu from saturation curve;
				   murel=1./(muo*blockproplist[k].Get_v(B));
				   muinc=1./(muo*blockproplist[k].GetdHdB(B));

				   // successive approximation;
		   //      K=muinc;                            // total incremental
		   //      K=murel;                            // total updated
				   K=2.*murel*muinc/(murel+muinc);     // averaged
				   meshele[i].mu1=K;
				   meshele[i].mu2=K;
				   K=-(1./murel - 1/K);
				   for(j=0;j<3;j++)
					   for(ww=0;ww<3;ww++)
						   Mn[j][ww]=K*(Mx[j][ww]+My[j][ww]); 
				}
// #endif
			}	
		}

		// Apply correction for elements subject to prox effects
		if((blockproplist[meshele[i].blk].LamType>2) && (Iter==0))
		{
			meshele[i].mu1=labellist[meshele[i].lbl].ProximityMu;
			meshele[i].mu2=labellist[meshele[i].lbl].ProximityMu;
		}

		// "Warp" the permeability of this element if part of 
		// the conformally mapped external region
		if((labellist[meshele[i].lbl].IsExternal) && (Iter==0))
		{
			double Z=(meshnode[n[0]].y+meshnode[n[1]].y+meshnode[n[2]].y)/3. - extZo;
			double kludge=(R*R+Z*Z)*extRi/(extRo*extRo*extRo); 
			meshele[i].mu1/=kludge;
			meshele[i].mu2/=kludge;
		}

		// combine block matrices into global matrices;
		for(j=0;j<3;j++)
			for(k=0;k<3;k++){
//#ifdef NEWTON
				if (ACSolver==1){
					Me[j][k]+= (Mx[j][k]/(El->mu2) + My[j][k]/(El->mu1) + Mxy[j][k]*(El->v12) + Mn[j][k]);
					be[j]+=(Mnh[j][k]+Mna[j][k]+Mn[j][k])*L.V[n[k]];
					be[j]+=Mns[j][k]*L.V[n[k]].Conj();
				}
//#else
				else{
					Me[j][k]+= (Mx[j][k]/(El->mu2) + My[j][k]/(El->mu1) + Mxy[j][k] * (El->v12));
					be[j]+=Mn[j][k]*L.V[n[k]];
				}
//#endif			
				
			}
			
		for (j=0;j<3;j++){
			for (k=j;k<3;k++)
			{
				L.Put(L.Get(n[j],n[k])+Me[j][k],n[j],n[k]);
//#ifdef NEWTON
				if (ACSolver==1){
					if (Mnh[j][k]!=0) L.Put(L.Get(n[j],n[k],1) + Mnh[j][k],n[j],n[k],1);
					if (Mns[j][k]!=0) L.Put(L.Get(n[j],n[k],2) + Mns[j][k],n[j],n[k],2);
					if (Mna[j][k]!=0) L.Put(L.Get(n[j],n[k],3) + Mna[j][k],n[j],n[k],3);
				}
//#endif
			}
			L.b[n[j]]+=be[j];
		}

///////////////////////////////////////////////////

	}

	// add in contribution from point currents;
	for(i=0;i<NumNodes;i++)
		if(meshnode[i].bc>=0){
			r=meshnode[i].x;
			K = (2.*r*0.01)*(nodeproplist[meshnode[i].bc].Jr +
				  I*nodeproplist[meshnode[i].bc].Ji);
			L.b[i]-=K;
		}

	// add in total current constraints for circuits;
	for(i=0;i<NumCircProps;i++)
		if (circproplist[i].Case==2){
			L.b[NumNodes+i]+=2.*0.01*(circproplist[i].Amps_re +
				                   I*circproplist[i].Amps_im);
		}
	
	// apply fixed boundary conditions at points;
	for(i=0;i<NumNodes;i++)
		if(meshnode[i].x<(units[LengthUnits]*1.e-06)){
			K=0;
			L.SetValue(i,K);
		}
		else if(meshnode[i].bc >=0)
			if((nodeproplist[meshnode[i].bc].Jr==0) &&
			   (nodeproplist[meshnode[i].bc].Ji==0))
			{
				K =  (nodeproplist[meshnode[i].bc].Ar 
			      + I*nodeproplist[meshnode[i].bc].Ai) / c;
				L.SetValue(i,K);
			}

	// apply fixed boundary conditions along segments;
	for(i=0;i<NumEls;i++)
		for(j=0;j<3;j++){
			k=j+1; if(k==3) k=0;
			if(meshele[i].e[j]>=0)
			if(lineproplist[ meshele[i].e[j] ].BdryFormat==0)
			{
				if(Coords==0){
					// first point on the side;
					x=meshnode[meshele[i].p[j]].x;
					y=meshnode[meshele[i].p[j]].y;
					x/=units[LengthUnits]; y/=units[LengthUnits];
					s=meshele[i].e[j];
					a=lineproplist[s].A0 + x*lineproplist[s].A1 +
					  y*lineproplist[s].A2;
					K=(a/c)*exp(I*lineproplist[s].phi*DEG);
					L.SetValue(meshele[i].p[j],K);
					
					// second point on the side;
					x=meshnode[meshele[i].p[k]].x;
					y=meshnode[meshele[i].p[k]].y;
					x/=units[LengthUnits]; y/=units[LengthUnits];
					s=meshele[i].e[j];
					a=lineproplist[s].A0 + x*lineproplist[s].A1 +
					  y*lineproplist[s].A2;
					K=(a/c)*exp(I*lineproplist[s].phi*DEG);
					L.SetValue(meshele[i].p[k],K);
				}
				else{
					// first point on the side;
					x=meshnode[meshele[i].p[j]].x;
					y=meshnode[meshele[i].p[j]].y;
					r=sqrt(x*x+y*y);
					if ((x==0) && (y==0)) t=0;
					else t=atan2(y,x)/DEG;
					r/=units[LengthUnits];
					s=meshele[i].e[j];
					a=lineproplist[s].A0 + r*lineproplist[s].A1 +
					  t*lineproplist[s].A2;
					K=(a/c)*exp(I*lineproplist[s].phi*DEG);
					L.SetValue(meshele[i].p[j],K);
					
					// second point on the side;
					x=meshnode[meshele[i].p[k]].x;
					y=meshnode[meshele[i].p[k]].y;
					r=sqrt(x*x+y*y);
					if((x==0) && (y==0)) t=0;
					else t=atan2(y,x)/DEG;
					r/=units[LengthUnits];
					s=meshele[i].e[j];
					a=lineproplist[s].A0 + r*lineproplist[s].A1 +
					  t*lineproplist[s].A2;
					K=(a/c)*exp(I*lineproplist[s].phi*DEG);
					L.SetValue(meshele[i].p[k],K);
				}

			}
		}

	// "fix" diagonal entries associated with circuits that have 
	// applied current or voltage that is known a priori
	// so that solver doesn't throw a "singular" flag
	for(j=0;j<NumCircProps;j++)
		if (circproplist[j].Case<2)	L.Put(L.Get(0,0),NumNodes+j,NumNodes+j);
	
	for(k=0;k<NumPBCs;k++)
	{
		if (pbclist[k].t==0) L.Periodicity(pbclist[k].x,pbclist[k].y);
		if (pbclist[k].t==1) L.AntiPeriodicity(pbclist[k].x,pbclist[k].y);
	}

	// solve the problem;
	for(j=0;j<NumNodes+NumCircProps;j++) V_old[j]=L.V[j];

	if (L.bNewton){
		L.Precision=__min(1.e-4,0.001*res);
		if (L.Precision<Precision) L.Precision=Precision;
	}

	if (L.PBCGSolveMod(Iter)==FALSE) return FALSE;

  	if (LinearFlag==FALSE){
		
		for(j=0,x=0,y=0;j<NumNodes;j++){
			x+=Re((L.V[j]-V_old[j])*conj(L.V[j]-V_old[j]));
			y+=Re(L.V[j]*conj(L.V[j]));
		}
        if (y==0) LinearFlag=TRUE;
        else{
            lastres=res;
            res=sqrt(x/y);
        }

        // relaxation if we need it
        if(Iter>5)
        {
            if ((res>lastres) && (Relax>0.1)) Relax/=2.;
            else Relax+= 0.1 * (1. - Relax);
       
            for(j=0;j<NumNodes+NumCircProps;j++) L.V[j]=Relax*L.V[j]+(1.0-Relax)*V_old[j];
        }

       
        // report some results
		char outstr[256];
//#ifdef NEWTON
		if(ACSolver==1) sprintf(outstr,"Newton Iteration(%i) Relax=%.4g",Iter,Relax);
//#else
		else sprintf(outstr,"Successive Approx(%i) Relax=%.4g",Iter,Relax);
//#endif
        TheView->SetDlgItemText(IDC_FRAME2,outstr);
        j=(int)  (100.*log10(res)/(log10(Precision)+2.));
        if (j>100) j=100;
        TheView->m_prog2.SetPos(j);
    }

	// nonlinear iteration has to have a looser tolerance
	// than the linear solver--otherwise, things can't ever
	// converge.  Arbitrarily choose 100*tolerance.
	if((res<100.*Precision) && Iter>0) LinearFlag=TRUE;

	Iter++;

} while(LinearFlag==FALSE);


	// convert answer back to webers
	for (i=0;i<NumNodes;i++) L.b[i]=L.V[i]*c*2.*PI*meshnode[i].x*0.01;
	for (i=0;i<NumCircProps;i++)
		L.b[NumNodes+i]=(I*w*c*0.01*L.V[NumNodes+i]);
	

	// free up space allocated in this routine
	for(k=0;k<NumBlockProps;k++) free(Mu[k]);
	free(Mu);
	free(V_old);
	if(NumCircProps>0){
		free(CircInt1);
		free(CircInt2);
		free(CircInt3);
	}
	return TRUE;
}