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FEMM/fkn/tmp_prob1big.cpp

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#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"
#include "lua.h"
extern lua_State *lua;
BOOL CFemmeDocCore::Static2D(CBigLinProb &L)
{
int i,j,k,w,s,sdi_iter,sdin;
double Me[3][3],be[3]; // element matrices;
double Mx[3][3],My[3][3],Mn[3][3];
double l[3],p[3],q[3]; // element shape parameters;
int n[3]; // numbers of nodes for a particular element;
double a,K,r,t,x,y,B,B1,B2,mu,v[3],u[3],dv,res,lastres,Cduct;
double *V_old,*V_sdi,*CircInt1,*CircInt2,*CircInt3;
double c=PI*4.e-05;
double units[]={2.54,0.1,1.,100.,0.00254,1.e-04};
int Iter=0,pctr;
BOOL LinearFlag=TRUE;
BOOL bIncremental = FALSE;
double murel, muinc;
BOOL SDIflag=FALSE;
if (PrevSoln.GetLength() > 0) bIncremental = TRUE;
res=0;
CElement *El;
V_old=(double *) calloc(NumNodes,sizeof(double));
for(i=0;i<NumBlockLabels;i++) GetFillFactor(i);
// check to see if there are any SDI boundaries...
// lineproplist[ meshele[i].e[j] ].BdryFormat==0
for(i=0;i<NumLineProps;i++)
if(lineproplist[i].BdryFormat==3) SDIflag=TRUE;
if(SDIflag==TRUE){
// there is an SDI boundary defined; check to see if it is in use
SDIflag=FALSE;
for(i=0;i<NumEls;i++)
for(j=0;j<3;j++)
if (lineproplist[meshele[i].e[j]].BdryFormat==3){
SDIflag=TRUE;
printf("Problem has SDI boundaries\n");
i=NumEls;
j=3;
}
}
if (SDIflag==TRUE)
{
V_sdi=(double *) calloc(NumNodes,sizeof(double));
sdin=2;
}
else sdin=1;
// check to see if any circuits have been defined and process them;
if (NumCircProps>0)
{
CircInt1=(double *)calloc(NumCircProps,sizeof(double));
CircInt2=(double *)calloc(NumCircProps,sizeof(double));
CircInt3=(double *)calloc(NumCircProps,sizeof(double));
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;
CircInt1[labellist[El->lbl].InCircuit]+=a;
CircInt2[labellist[El->lbl].InCircuit]+=
a*Cduct;
CircInt3[labellist[El->lbl].InCircuit]+=
blockproplist[El->blk].Jr*a*100.;
}
}
for(i=0;i<NumCircProps;i++)
{
// Case 0 :: voltage gradient is applied to the region;
// Case 1 :: flat current density is applied to the region;
if (circproplist[i].CircType==0)
{
if(CircInt2[i]==0){
circproplist[i].Case=1;
if(CircInt1[i]==0.) circproplist[i].J=0.;
else circproplist[i].J=0.01*(circproplist[i].Amps_re -
CircInt3[i])/CircInt1[i];
}
else{
circproplist[i].Case=0;
circproplist[i].dV=-0.01*(circproplist[i].Amps_re -
CircInt3[i])/CircInt2[i];
}
}
else{
circproplist[i].Case=0;
circproplist[i].dV=circproplist[i].dVolts_re;
}
}
}
// first, need to define permeability in each block. In nonlinear
// case, this is sort of a hassle. Linear permeability is simply
// copied from the associated block definition, but nonlinear
// permeability must be updated from iteration to iteration...
// build element matrices using the matrices derived in Allaire's book.
do{
for(sdi_iter=0;sdi_iter<sdin;sdi_iter++)
{
TheView->SetDlgItemText(IDC_FRAME1,"Matrix Construction");
TheView->m_prog1.SetPos(0);
pctr=0;
if(Iter>0) L.Wipe();
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.;
Mn[j][k]=0.;
}
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];
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;
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.;
// x-contribution; only need to do main diagonal and above;
K = (-1./(4.*a));
for(j=0;j<3;j++)
for(k=j;k<3;k++)
{
Mx[j][k] += K*p[j]*p[k];
if (j!=k) Mx[k][j]+=K*p[j]*p[k];
}
// y-contribution; only need to do main diagonal and above;
K = (-1./(4.*a));
for(j=0;j<3;j++)
for(k=j;k<3;k++)
{
My[j][k] +=K*q[j]*q[k];
if (j!=k) My[k][j]+=K*q[j]*q[k];
}
// contributions to Me, be from derivative boundary conditions;
for(j=0;j<3;j++){
if (El->e[j] >= 0)
if (lineproplist[El->e[j]].BdryFormat==2)
{
// conversion factor is 10^(-4) (I think...)
K=-0.0001*c*lineproplist[ El->e[j] ].c0.re*l[j]/6.;
k=j+1; if(k==3) k=0;
Me[j][j]+=K*2.;
Me[k][k]+=K*2.;
Me[j][k]+=K;
Me[k][j]+=K;
K=(lineproplist[ El->e[j] ].c1.re*l[j]/2.)*0.0001;
be[j]+=K;
be[k]+=K;
}
}
// contribution to be from current density in the block
for(j=0,El->Jprev=0;j<3;j++){
if(labellist[El->lbl].InCircuit>=0)
{
k=labellist[El->lbl].InCircuit;
if(circproplist[k].Case==1) t=circproplist[k].J.Re();
if(circproplist[k].Case==0)
t=-circproplist[k].dV.Re()*blockproplist[El->blk].Cduct;
}
else t=0;
K=-(blockproplist[El->blk].Jr+t)*a/3.;
be[j]+=K;
// record avg current density in the block for use in incremental solutions
El->Jprev+=(blockproplist[El->blk].Jr+t)/3.;
}
// contribution to be from magnetization in the block;
t=labellist[El->lbl].MagDir;
if (labellist[El->lbl].MagDirFctn!=NULL) // functional magnetization direction
{
CString str;
CComplex X;
int top1,top2,lua_error_code;
for (j=0,X=0;j<3;j++) X+=(meshnode[n[j]].x + I*meshnode[n[j]].y);
X=X/units[LengthUnits]/3.;
str.Format("x=%.17g\ny=%.17g\nr=x\nz=y\ntheta=%.17g\nR=%.17g\nreturn %s",
X.re,X.im,arg(X)*180/PI,abs(X),labellist[El->lbl].MagDirFctn);
top1=lua_gettop(lua);
if((lua_error_code=lua_dostring(lua,str))!=0)
{
/*
if (lua_error_code==LUA_ERRRUN)
AfxMessageBox("Run Error");
if (lua_error_code==LUA_ERRMEM)
AfxMessageBox("Lua memory Error");
if (lua_error_code==LUA_ERRERR)
AfxMessageBox("User error error");
if (lua_error_code==LUA_ERRFILE)
AfxMessageBox("File Error");
*/
MsgBox("Lua error evaluating \"%s\"",labellist[El->lbl].MagDirFctn);
exit(7);
}
top2=lua_gettop(lua);
if (top2!=top1){
str=lua_tostring(lua,-1);
if (str.GetLength()==0){
MsgBox("\"%s\" does not evaluate to a numerical value",
labellist[El->lbl].MagDirFctn);
exit(7);
}
else t=Re(lua_tonumber(lua,-1));
lua_pop(lua, 1);
}
}
for(j=0;j<3;j++){
k=j+1; if(k==3) k=0;
// need to scale so that everything is in proper units...
// conversion is 0.0001
K=0.0001*blockproplist[El->blk].H_c*(
cos(t*PI/180.)*(meshnode[n[k]].x-meshnode[n[j]].x) +
sin(t*PI/180.)*(meshnode[n[k]].y-meshnode[n[j]].y) )/2.;
be[j]+=K;
be[k]+=K;
}
//////// Nonlinear Part
// update permeability for the element;
if (Iter==0){
k=meshele[i].blk;
if (blockproplist[k].BHpoints != 0)
{
if (bIncremental == FALSE)
{
// There's no previous solution. This is a standard nonlinear time harmonic problem
LinearFlag = FALSE;
}
else {
double B1p, B2p;
// Get B from previous solution
GetPrev2DB(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 {
if (bIncremental == 1)
{
// 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 {
// Define "frozen permeability"
meshele[i].mu1 = murel;
meshele[i].mu2 = murel;
meshele[i].v12 = 0;
}
}
}
}
if (blockproplist[k].LamType==0){
t=blockproplist[k].LamFill;
meshele[i].mu1=blockproplist[k].mu_x*t + (1.-t);
meshele[i].mu2=blockproplist[k].mu_y*t + (1.-t);
}
if (blockproplist[k].LamType==1){
t=blockproplist[k].LamFill;
mu=blockproplist[k].mu_x;
meshele[i].mu1=mu*t + (1.-t);
meshele[i].mu2=mu/(t + mu*(1.-t));
}
if (blockproplist[k].LamType==2){
t=blockproplist[k].LamFill;
mu=blockproplist[k].mu_y;
meshele[i].mu2=mu*t + (1.-t);
meshele[i].mu1=mu/(t + mu*(1.-t));
}
if (blockproplist[k].LamType>2)
{
meshele[i].mu1=1;
meshele[i].mu2=1;
}
}
else{
k=meshele[i].blk;
if ((blockproplist[k].LamType==0) &&
(meshele[i].mu1==meshele[i].mu2)
&&(blockproplist[k].BHpoints>0))
{
for(j=0,B1=0.,B2=0.;j<3;j++){
B1+=L.V[n[j]]*q[j];
B2+=L.V[n[j]]*p[j];
}
B=c*sqrt(B1*B1+B2*B2)/(0.02*a);
// correction for lengths in cm of 1/0.02
// 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(w=0,v[j]=0;w<3;w++)
v[j]+=(Mx[j][w]+My[j][w])*L.V[n[w]];
}
K=-200.*c*c*c*dv/a;
for(j=0;j<3;j++)
for(w=0;w<3;w++)
Mn[j][w]=K*v[j]*v[w];
}
if ((blockproplist[k].LamType==1) && (blockproplist[k].BHpoints>0)){
t=blockproplist[k].LamFill;
for(j=0,B1=0.,B2=0.;j<3;j++){
B1+=L.V[n[j]]*q[j];
B2+=L.V[n[j]]*p[j]/t;
}
B=c*sqrt(B1*B1+B2*B2)/(0.02*a);
blockproplist[k].GetBHProps(B,mu,dv);
mu=1./(muo*mu);
meshele[i].mu1=mu*t;
meshele[i].mu2=mu/(t+mu*(1.-t));
for(j=0;j<3;j++){
for(w=0,v[j]=0,u[j]=0;w<3;w++)
{
v[j]+=(My[j][w]/t+Mx[j][w])*L.V[n[w]];
u[j]+=(My[j][w]/t + t*Mx[j][w])*L.V[n[w]];
}
}
K=-100.*c*c*c*dv/(a);
for(j=0;j<3;j++)
for(w=0;w<3;w++)
Mn[j][w]=K*(v[j]*u[w]+v[w]*u[j]);
}
if ((blockproplist[k].LamType==2) && (blockproplist[k].BHpoints>0)){
t=blockproplist[k].LamFill;
for(j=0,B1=0.,B2=0.;j<3;j++){
B1+=(L.V[n[j]]*q[j])/t;
B2+=L.V[n[j]]*p[j];
}
B=c*sqrt(B1*B1+B2*B2)/(0.02*a);
blockproplist[k].GetBHProps(B,mu,dv);
mu=1./(muo*mu);
meshele[i].mu2=mu*t;
meshele[i].mu1=mu/(t+mu*(1.-t));
for(j=0;j<3;j++){
for(w=0,v[j]=0,u[j]=0;w<3;w++)
{
v[j]+=(Mx[j][w]/t + My[j][w])*L.V[n[w]];
u[j]+=(Mx[j][w]/t + t*My[j][w])*L.V[n[w]];
}
}
K=-100.*c*c*c*dv/(a);
for(j=0;j<3;j++)
for(w=0;w<3;w++)
Mn[j][w]=K*(v[j]*u[w]+v[w]*u[j]);
}
}
// combine block matrices into global matrices;
for(j=0;j<3;j++)
for(k=0;k<3;k++){
Me[j][k]+= (Mx[j][k]/Re(El->mu2) + My[j][k]/Re(El->mu1) + Mn[j][k]);
be[j]+=Mn[j][k]*L.V[n[k]];
}
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]);
L.b[n[j]]-=be[j];
}
}
// add in contribution from point currents;
for(i=0;i<NumNodes;i++)
if(meshnode[i].bc>=0)
L.b[i]+=(0.01*nodeproplist[meshnode[i].bc].Jr);
// apply fixed boundary conditions at points;
for(i=0;i<NumNodes;i++)
if(meshnode[i].bc >=0)
if((nodeproplist[meshnode[i].bc].Jr==0) &&
(nodeproplist[meshnode[i].bc].Ji==0) && (sdi_iter==0))
L.SetValue(i,nodeproplist[meshnode[i].bc].Ar / c);
// 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;
// just take ``real'' component.
a*=cos(lineproplist[s].phi*DEG);
L.SetValue(meshele[i].p[j],a/c);
// 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;
// just take``real'' component.
a*=cos(lineproplist[s].phi*DEG);
L.SetValue(meshele[i].p[k],a/c);
}
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;
a*=cos(lineproplist[s].phi*DEG); // just take ``real'' component.
L.SetValue(meshele[i].p[j],a/c);
// 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;
a*=cos(lineproplist[s].phi*DEG); // just take ``real'' component.
L.SetValue(meshele[i].p[k],a/c);
}
}
}
// Apply SDI boundary condition;
if ((SDIflag==TRUE) && (sdi_iter==1)) 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==3)
{
L.SetValue(meshele[i].p[j],0.);
L.SetValue(meshele[i].p[k],0.);
}
}
// Apply any periodicity/antiperiodicity boundary conditions that we have
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;
if (SDIflag==FALSE) for(j=0;j<NumNodes;j++) V_old[j]=L.V[j];
else{
if(sdi_iter==0)
for(j=0;j<NumNodes;j++) V_sdi[j]=L.V[j];
else
for(j=0;j<NumNodes;j++){
V_old[j]=V_sdi[j];
V_sdi[j]=L.V[j];
}
}
if (L.PCGSolve(Iter+sdi_iter)==FALSE) return FALSE;
if(sdi_iter==1)
for(j=0;j<NumNodes;j++) L.V[j]=(V_sdi[j]+L.V[j])/2.;
} // end of SDI iteration loop;
if (LinearFlag==FALSE){
for(j=0,x=0,y=0;j<NumNodes;j++){
x+=(L.V[j]-V_old[j])*(L.V[j]-V_old[j]);
y+=(L.V[j]*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>0.125)) Relax/=2.;
else Relax+= 0.1 * (1. - Relax);
for(j=0;j<NumNodes;j++) L.V[j]=Relax*L.V[j]+(1.0-Relax)*V_old[j];
}
// report some results
char outstr[256];
sprintf(outstr,"Newton Iteration(%i) Relax=%.4g",Iter,Relax);
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);
for(i=0;i<NumNodes;i++) L.b[i]=L.V[i]*c; // convert answer to Amps
free(V_old);
if(SDIflag==TRUE) free(V_sdi);
if(NumCircProps>0){
free(CircInt1);
free(CircInt2);
free(CircInt3);
}
return TRUE;
}
//=========================================================================
//=========================================================================
BOOL CFemmeDocCore::WriteStatic2D(CBigLinProb &L)
{
// write solution to disk;
char c[1024];
FILE *fp,*fz;
int i,k;
double cf;
double unitconv[]={2.54,0.1,1.,100.,0.00254,1.e-04};
// first, echo input .fem file to the .ans file;
sprintf(c,"%s.fem",PathName);
if((fz=fopen(c,"rt"))==NULL){
MsgBox("Couldn't open %s.fem\n",PathName);
return FALSE;
}
sprintf(c,"%s.ans",PathName);
if((fp=fopen(c,"wt"))==NULL){
MsgBox("Couldn't write to %s.ans\n",PathName);
return FALSE;
}
while(fgets(c,1024,fz)!=NULL) fputs(c,fp);
fclose(fz);
// then print out node, line, and element information
fprintf(fp,"[Solution]\n");
cf=unitconv[LengthUnits];
fprintf(fp,"%i\n",NumNodes);
for(i=0;i<NumNodes;i++)
fprintf(fp,"%.17g %.17g %.17g %i\n",meshnode[i].x/cf,
meshnode[i].y/cf,L.b[i],meshnode[i].bc);
fprintf(fp,"%i\n",NumEls);
for(i=0;i<NumEls;i++)
fprintf(fp,"%i %i %i %i %i %i %i %.17g\n",
meshele[i].p[0],meshele[i].p[1],meshele[i].p[2],meshele[i].lbl,
meshele[i].e[0],meshele[i].e[1],meshele[i].e[2],meshele[i].Jprev);
/*
// print out circuit info
fprintf(fp,"%i\n",NumCircPropsOrig);
for(i=0;i<NumCircPropsOrig;i++){
if (circproplist[i].Case==0)
fprintf(fp,"0 %.17g\n",circproplist[i].dV.Re());
if (circproplist[i].Case==1)
fprintf(fp,"1 %.17g\n",circproplist[i].J.Re());
}
*/
// print out circuit info on a blocklabel by blocklabel basis;
fprintf(fp,"%i\n",NumBlockLabels);
for(k=0;k<NumBlockLabels;k++){
i=labellist[k].InCircuit;
if(i<0) // if block not associated with any particular circuit
{
// print out some "dummy" propeties that say that
// there is a fixed additional current density,
// but that that additional current density is zero.
fprintf(fp,"1 0\n");
}
else{
if (circproplist[i].Case==0)
fprintf(fp,"0 %.17g\n",circproplist[i].dV.Re());
if (circproplist[i].Case==1)
fprintf(fp,"1 %.17g\n",circproplist[i].J.Re());
}
}
// print out information on periodic boundary conditions for
// possible re-use in AC incremental permeability solutions
fprintf(fp,"%i\n",NumPBCs);
for(k=0;k<NumPBCs;k++) fprintf(fp,"%i %i %i\n",pbclist[k].x,pbclist[k].y,pbclist[k].t);
fclose(fp);
return TRUE;
}
//=========================================================================
//=========================================================================
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