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caperror.c
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caperror.c
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#include "cap.h"
// grid-search for the full moment tensor
SOLN error( int npar, // 3=mw; 2=iso; 1=clvd; 0=strike/dip/rake
int nda,
DATA *obs0,
int nfm,
FM *fm,
float fm_thr,
const int *max_shft,
float tie,
MTPAR *mt,
GRID grid,
int interp,
int bootstrap,
int search,
int norm
) {
int i, j, k, l, m, k1, kc, z0, z1, z2, ii, N, iso_len;
float mw_ran; // half-range for magnitude search (previously int)
int i_stk, i_dip, i_rak, i_iso;
int perc, del_N, count_perc;
float amp, rad[6], arad[4][3], x, x1, x2, y, y1, y2, cfg[NCP], s3d[9], temp[3], m_par, del_dip, del_iso;
float *f_pt0, *f_pt1, *r_pt, *r_pt0, *r_pt1, *z_pt, *z_pt0, *z_pt1, *grd_err, *rnd_stk, *rnd_dip, *rnd_rak, *rnd_iso, *rnd_clvd, *iso;
float dx, mtensor[3][3], *r_iso, *z_iso;
DATA *obs;
COMP *spt;
SOLN sol, sol1, sol2, best_sol;
FILE *logf,*std_range;
char logfile[16],range_file[20];
OUTPUTGD outgd;
OUTPUTMT outmt;
int misfit_fmp;
// count number of solutions computed
// (this is ongoing, this variable may be deleted)
// # 20151216 celso alvizuri - [email protected]
int count=0;
/* vars to track smallest misfit at each (gamma,delta) on the lune */
FILE *fidmol;
LUNE_MISFIT * bestmisfit;
bestmisfit = (LUNE_MISFIT *) malloc(sizeof(LUNE_MISFIT));
if(misfit_on_lune)
{
fidmol=fopen("out.misfit.wf_","w");
}
/* output of first motion polarity */
FILE *fidfmp;
if(only_first_motion)
{
fidfmp=fopen("out.misfit.fmp_","w");
}
// output files for postprocessing
// mt = moment tensor elements
// gd = gamma, delta, strike, dip, rake
FILE *fidmt, *fidgd;
if (debug) {
sprintf(logfile,"%s_%03d_%03d","log",edep,loop);
logf = fopen(logfile,"w");
fclose(logf);
}
if (debug) fprintf(stderr, "loop=%d start=%d \n",loop,start);
start++;
// search range file
sprintf(range_file,"search_range");
// RANDOM distribution of samples in MT space
// Distribution is homogeneous on lune
if (search==2){
// output for postprocessing
fidmt=fopen("capout_rand_mt.bin","wb");
fidgd=fopen("capout_rand_gd.bin","wb");
fprintf(stderr,"Mw=%f\n",mt[0].par);
mw_ran=1.0; // Mw search range
mt[0].max = mt[0].par+mw_ran;
mt[0].min = mt[0].par-mw_ran;
// if Mw search increment in -I flag is set to 0 then make Mw<min max> search range equal
if (mt[0].dd==0){
mt[0].max = mt[0].par;
mt[0].min = mt[0].par;
mt[0].dd=1.0;
}
N=100000; // Number of samples
del_N=(int)N/20; // To add 'percentage completed' marker; each del_N is 5%
count_perc=1; // counter to track percentage completed
// preallocate arrays for MT paramters
rnd_stk = (float*)malloc(sizeof(int) * N*sizeof(float));
rnd_dip = (float*)malloc(sizeof(int) * N*sizeof(float));
rnd_rak = (float*)malloc(sizeof(int) * N*sizeof(float));
rnd_iso = (float*)malloc(sizeof(int) * N*sizeof(float));
rnd_clvd = (float*)malloc(sizeof(int) * N*sizeof(float));
// If space cannot be allocated
if (rnd_stk==NULL || rnd_stk==NULL || rnd_stk==NULL){
fprintf(stderr,"Cannot allocate space for random number generation");}
// Generate homogeneously distributed samples (Lune parameterization)
// XXX same random samples are generated in every run (change drand (to srand) or add seed)
// drand return values bteween 0 and 1
for(i=0;i<N;i++){
rnd_stk[i]=0.0+360.0*drand48();
rnd_dip[i]=0.0+1.0*drand48(); // because cos(dip) is homogeneous
rnd_rak[i]=-90.0+180.0*drand48();
if (mt[1].dd==0) // for direct search at a particular CLVD
rnd_iso[i]=sin(mt[1].par*(PI/180.0));
else
rnd_iso[i]=-1.0+2.0*drand48(); // because sin(iso) is homogeneous
if (mt[2].dd==0) // for direct search at a particular ISO
rnd_clvd[i]=mt[2].par;
else
rnd_clvd[i]=-30.0+60.0*drand48();
}
best_sol.err = FLT_MAX;
/* mt[0] = Mw (temp[0] searches for best Mw)
mt[1] = ISO (temp[1] searches for best ISO)
mt[2] = CLVD (temp[2] searches for best CLVD) */
for(temp[0]=mt[0].min;temp[0]<=mt[0].max;temp[0]=temp[0]+mt[0].dd){
//==== the base case: grid-search for strike, dip, and rake =============
amp = pow(10.,1.5*temp[0]+16.1-20);
grd_err = grid.err;
//--------------random search loop-------------------------------------
for(ii=0; ii<N; ii++) {
temp[1]=asin(rnd_iso[ii])*(180.0/PI);
temp[2]=rnd_clvd[ii];
sol.meca.rak=rnd_rak[ii];
sol.meca.dip=acos(rnd_dip[ii])*(180.0/PI);
sol.meca.stk=rnd_stk[ii];
//nmtensor(mt[1].par,mt[2].par,sol.meca.stk,sol.meca.dip,sol.meca.rak,mtensor);
//nmtensor(temp[1],temp[2],sol.meca.stk,sol.meca.dip,sol.meca.rak,mtensor);
tt2cmt(temp[2], temp[1], 1.0, sol.meca.stk, sol.meca.dip, sol.meca.rak, mtensor); // get normalized mtensor from (CLVD,ISO,strike,dip, rake)
if (check_first_motion(mtensor,fm,nfm,fm_thr)<0) {
*grd_err++ = sol.err = FLT_MAX;
continue;
}
// This gets executed only when bootstrapping is performed
if (bootstrap && interp==0) fprintf(stderr,"BOOTSTRAPPING %5.2f %5.2f %5.2f %5.1f %5.1f %5.1f\n", mt[0].par, mt[1].par, mt[2].par, sol.meca.stk, sol.meca.dip, sol.meca.rak);
//--------------KEY COMMAND---call misfit function------
sol=calerr(nda,obs0,max_shft,tie,norm,mtensor,amp,sol);
sol.err=sol.err/Ncomp; // normalize error by number of station
*grd_err++ = sol.err; // error for this solution
// save the sample if it has the misfit lower than previous
if (best_sol.err>sol.err) {best_sol = sol;
if (debug) fprintf(stderr,"misfit for best sol = %f; stk=%3.1f, dip=%3.1f, rak=%3.1f \n",best_sol.err,sol.meca.stk, sol.meca.dip, sol.meca.rak); // output on screen if in debug mode
mt[0].par=temp[0];
mt[1].par=temp[1];
mt[2].par=temp[2];
}
misfit_fmp = misfit_first_motion(mtensor, nfm, fm, fidfmp, temp[2], temp[1], temp[0], sol.meca.stk, sol.meca.dip, sol.meca.rak);
// output binary data
outgd.g = temp[2];
outgd.d = temp[1];
outgd.s = sol.meca.stk;
outgd.h = sol.meca.dip;
outgd.r = sol.meca.rak;
outgd.mag = temp[0];
outgd.misfit_wf = sol.err/data2;
outgd.misfit_fmp = (float) misfit_fmp;
outmt.mrr = mtensor[2][2];
outmt.mtt = mtensor[0][0];
outmt.mpp = mtensor[1][1];
outmt.mrt = mtensor[0][2];
outmt.mrp = -mtensor[1][2];
outmt.mtp = -mtensor[0][1];
outmt.mag = temp[0];
outmt.misfit_wf = sol.err/data2;
outmt.misfit_fmp = (float) misfit_fmp;
// fprintf(stderr,"DEBUG. %f %f %d \n", outgd.g, outgd.d, outmt.misfit_fmp);
fwrite(&outmt, sizeof outmt, 1, fidmt);
fwrite(&outgd, sizeof outgd, 1, fidgd);
// in debug mode it will save all samples in a logfile
if (debug) {
logf = fopen(logfile,"a"); // output log file
fprintf(logf,"%3.1f\t%3.1f\t%3.1f\t%e\t%2.2f\t%2.2f\t%2.2f\t%e\t%f\t%f\t%f\t%f\t%f\t%f\n",sol.meca.stk, sol.meca.dip, sol.meca.rak, sol.err/data2, temp[0], temp[1], temp[2], amp*1.0e20, mtensor[0][0], mtensor[1][1], mtensor[2][2], mtensor[0][1], mtensor[0][2], mtensor[1][2] );
fclose(logf);
}
// Block to keep track of percentage of samples checked
if (ii==del_N*count_perc){
perc = 5*count_perc; // percentage is in multiples of 5
printf("%d%% done \n",perc);
count_perc = count_perc+1;
}
} // number of samples (ii < N) loop ends
// change the log filename for every depth
if (debug) {
loop++;
sprintf(logfile,"%s_%03d_%03d","log",edep,loop); // changes the log file name for next sext search
logf = fopen(logfile,"a");
fclose(logf);
}
if (1){ // This saves only those samples which had misfit lower than previous sample
logf = fopen("log_diff","a"); /*fprintf(stderr,"completed stk,dip,rake loop\n"); //summary log file*/
fprintf(logf,"%d\t%d\t%3.1f\t%3.1f\t%3.1f\t%f\t%2.2f\t%2.2f\t%2.2f\n",loop,interp, best_sol.meca.stk, best_sol.meca.dip, best_sol.meca.rak, best_sol.err, mt[0].par, mt[1].par, mt[2].par);
fclose(logf);
}
fprintf(stderr, "%d\t%3.2f\t%3.2f\t%3.2f\t%2.1f\t%2.1f\t%2.2f\n",ii+1,sol.meca.stk, sol.meca.dip,sol.meca.rak,temp[0],temp[1],temp[2]);
fprintf(stderr,"========================Minimum==================================\n"); // output the minimum misfit sample for every magnitude (Mw) searched
fprintf(stderr, "%3.2f\t%3.2f\t%3.2f\t%2.1f\t%2.1f\t%2.2f\n",best_sol.meca.stk, best_sol.meca.dip,best_sol.meca.rak,temp[0],mt[1].par,mt[2].par);
} // magnitude search (mt[0]) loop ends
// end writing data for postprocessing
fclose(fidmt);
fclose(fidgd);
if (debug) fprintf(stderr, "Mw=%5.2f iso=%5.2f clvd=%5.2f misfit = %9.3e\n", mt[0].par, mt[1].par, mt[2].par, best_sol.err);
if (interp==0) return(best_sol);
/* do interpolation - But this is not implemented in random search yet - a gateway towards neighbourhood algorithm*/
// Code does not reach this part - return(best_sol) is happening before
best_sol.err = grid3d(grid.err,&(grid.n[0]),s3d,&(best_sol.flag),&(best_sol.ms),best_sol.others);
if (debug) fprintf(stderr, " interpolation misfit = %9.3e\n", best_sol.err);
best_sol.meca.stk = grid.x0[0]+s3d[0]*grid.step[0];
best_sol.meca.dip = grid.x0[1]+s3d[1]*grid.step[1];
best_sol.meca.rak = grid.x0[2]+s3d[2]*grid.step[2];
for(i=0;i<3;i++) best_sol.dev[i] = s3d[3+i]/(grid.step[i]*grid.step[i]);
best_sol.dev[3] = s3d[6]/(grid.step[0]*grid.step[1]);
best_sol.dev[4] = s3d[7]/(grid.step[0]*grid.step[2]);
best_sol.dev[5] = s3d[8]/(grid.step[1]*grid.step[2]);
fprintf(stderr,"=======================");
return(best_sol);
}
if (search==1){
// output for postprocessing
fidmt=fopen("capout_grid_mt.bin","wb");
fidgd=fopen("capout_grid_gd.bin","wb");
//--------newly added section-------------
mw_ran = 0.5;
mt[0].max = mt[0].par+mw_ran;
mt[0].min = mt[0].par-mw_ran;
// reset magnitude range to so that cap runs only once in this mode
if(only_first_motion)
{
mt[0].min = mt[0].par;
mt[0].max = mt[0].par;
}
for (ii=0; ii<3; ii++){
if (mt[ii].dd==0){
mt[ii].max = mt[ii].par;
mt[ii].min = mt[ii].par;
mt[ii].dd=1.0;
}}
iso_len = rint((mt[1].max - mt[1].min)/mt[1].dd) + 1;
std_range = fopen(range_file,"w");
//Output search ranges
fprintf(stderr,"=========GRID-SEARCH RANGE===========\n");
for (ii=0; ii<3; ii=ii+2){
if (ii==0)
fprintf(std_range,"---------Mw--------\n");
if (ii==2)
fprintf(std_range,"---------CLVD--------\n");
for(m_par = mt[ii].min; m_par<=mt[ii].max; m_par=m_par+mt[ii].dd){
fprintf(std_range,"%f\n",m_par);
}
}
fprintf(std_range,"---------ISO--------\n");
for(i_iso=0; i_iso<iso_len; i_iso++){
if (iso_len==1)
del_iso=0.;
else
del_iso=(sin(mt[1].max*PI/180.0)-sin(mt[1].min*PI/180.0))/(iso_len-1);
temp[1]=asin(sin(mt[1].min*PI/180.0)+(i_iso*del_iso))*(180.0/PI);
if (temp[1]==-90. || temp[1]==90. || temp[1] != temp[1])
continue;
fprintf(std_range,"%f\t%f\t%f\n",(((float)i_iso)*mt[1].dd)+mt[1].min,sin(temp[1]*PI/180.),temp[1]);
}
for (ii=0; ii<3; ii=ii+2){
if (ii==0)
fprintf(std_range,"---------STK--------\n");
if (ii==2)
fprintf(std_range,"---------RAK--------\n");
for(m_par = grid.x0[ii]; m_par<(grid.x0[ii]+(grid.n[ii])*grid.step[ii]); m_par=m_par+grid.step[ii]){
fprintf(std_range,"%f\n",m_par);
}
}
fprintf(std_range,"---------DIP--------\n");
for(i_dip=0; i_dip<grid.n[1]; i_dip++) {
if (grid.n[1]==1)
del_dip=0.;
else
del_dip=(cos(grid.x0[1]*PI/180.0)-cos((grid.x0[1]+(grid.n[1]-1)*grid.step[1])*PI/180.0))/(grid.n[1]-1); // equal increment in cosine(dip) space -> del_dip is in degrees, i.e. not equally spaced
sol.meca.dip=acos(cos(grid.x0[1]*PI/180.0)-(i_dip*del_dip))*(180.0/PI); //dip from -1 to 1
if (sol.meca.dip==0. || sol.meca.dip>90.)
continue;
fprintf(std_range,"%f\t%f\t%f\n",((float)i_dip+1.)*grid.step[2],cos(sol.meca.dip*PI/180.),sol.meca.dip);
}
fclose(std_range);
best_sol.err = FLT_MAX;
for(temp[0]=mt[0].min;temp[0]<=mt[0].max;temp[0]=temp[0]+mt[0].dd){
for(i_iso=0;i_iso<iso_len;i_iso++){
if (iso_len==1)
del_iso=0.;
else
del_iso=(sin(mt[1].max*PI/180.0)-sin(mt[1].min*PI/180.0))/(iso_len-1);
temp[1]=asin(sin(mt[1].min*PI/180.0)+(i_iso*del_iso))*(180.0/PI);
if (temp[1]==-90. || temp[1]==90. || temp[1] != temp[1]) // Do not include the limits, or if ISO is NaN; temp[1]!=temp[1] only if temp[1] is NaN (if sin(theta)>1)
continue;
fprintf(stderr,"-----------------------------------------------\n");
for(temp[2]=mt[2].min;temp[2]<=mt[2].max;temp[2]=temp[2]+mt[2].dd)
//--------newly added section ends here-------------
{ // the base case: grid-search for strike, dip, and rake =============
/* variables to track smallest misfit at each point on the lune */
/* used only when misfit_on_lune=1 */
bestmisfit->misfit = FLT_MAX;
bestmisfit->gamma = NAN;
bestmisfit->delta = NAN;
bestmisfit->mrr = NAN;
bestmisfit->mtt = NAN;
bestmisfit->mpp = NAN;
bestmisfit->mrt = NAN;
bestmisfit->mrp = NAN;
bestmisfit->mtp = NAN;
bestmisfit->mag = NAN;
bestmisfit->stk = NAN;
bestmisfit->dip = NAN;
bestmisfit->rak = NAN;
amp = pow(10.,1.5*temp[0]+16.1-20);
grd_err = grid.err;
for(i_rak=0; i_rak<grid.n[2]; i_rak++) {
sol.meca.rak=grid.x0[2]+i_rak*grid.step[2];
for(i_dip=0; i_dip<grid.n[1]; i_dip++) {
if (grid.n[1]==1)
del_dip=0.;
else
del_dip=(cos(grid.x0[1]*PI/180.0)-cos((grid.x0[1]+(grid.n[1]-1)*grid.step[1])*PI/180.0))/(grid.n[1]-1);
sol.meca.dip=acos(cos(grid.x0[1]*PI/180.0)-(i_dip*del_dip))*(180.0/PI); //dip from -1 to 1
if (sol.meca.dip==0. || sol.meca.dip>90.)
continue;
//sol.meca.dip=grid.x0[1]+i_dip*grid.step[1];
for(i_stk=0; i_stk<grid.n[0]; i_stk++) {
sol.meca.stk=grid.x0[0]+i_stk*grid.step[1];
if (sol.meca.stk == 360.)
continue;
tt2cmt(temp[2], temp[1], 1.0, sol.meca.stk, sol.meca.dip, sol.meca.rak, mtensor);
// compute misfit from first motion. data will be output to out.misfit.fmp_
misfit_fmp = misfit_first_motion(mtensor, nfm, fm, fidfmp, temp[2], temp[1], temp[0], sol.meca.stk, sol.meca.dip, sol.meca.rak);
if (bootstrap && interp==0) fprintf(stderr,"BOOTSTRAPPING %5.2f %5.2f %5.2f %5.1f %5.1f %5.1f\n", mt[0].par, mt[1].par, mt[2].par, sol.meca.stk, sol.meca.dip, sol.meca.rak);
//--------------KEY COMMAND---call misfit function------
sol=calerr(nda,obs0,max_shft,tie,norm,mtensor,amp,sol);
//fprintf(stderr, "Ncomp=%d\n",Ncomp);
sol.err=sol.err/Ncomp;
*grd_err++ = sol.err; /*error for this solution*/
/* track smallest misfit at each point on the lune */
if(misfit_on_lune)
{
if(sol.err < bestmisfit->misfit)
{
bestmisfit->gamma = temp[2];
bestmisfit->delta = temp[1];
bestmisfit->stk = sol.meca.stk;
bestmisfit->dip = sol.meca.dip;
bestmisfit->rak = sol.meca.rak;
bestmisfit->misfit = sol.err;
bestmisfit->mag = temp[0];
/* GCMT format */
bestmisfit->mrr = mtensor[2][2];
bestmisfit->mtt = mtensor[0][0];
bestmisfit->mpp = mtensor[1][1];
bestmisfit->mrt = mtensor[0][2];
bestmisfit->mrp = -mtensor[1][2];
bestmisfit->mtp = -mtensor[0][1];
}
}
if (best_sol.err>sol.err) {best_sol = sol;
mt[0].par=temp[0];
mt[1].par=temp[1];
mt[2].par=temp[2];
}
// output binary data
outgd.g = temp[2];
outgd.d = temp[1];
outgd.s = sol.meca.stk;
outgd.h = sol.meca.dip;
outgd.r = sol.meca.rak;
outgd.mag = temp[0];
outgd.misfit_wf = sol.err/data2;
outgd.misfit_fmp = (float) misfit_fmp;
outmt.mrr = mtensor[2][2];
outmt.mtt = mtensor[0][0];
outmt.mpp = mtensor[1][1];
outmt.mrt = mtensor[0][2];
outmt.mrp = -mtensor[1][2];
outmt.mtp = -mtensor[0][1];
outmt.mag = temp[0];
outmt.misfit_wf = sol.err/data2;
outmt.misfit_fmp = (float) misfit_fmp;
// fprintf(stderr,"DEBUG. %f %f %d \n", outgd.g, outgd.d, outmt.misfit_fmp);
fwrite(&outmt, sizeof outmt, 1, fidmt);
fwrite(&outgd, sizeof outgd, 1, fidgd);
// count number of solutions computed
// (this is ongoing, this variable may be deleted)
// # 20151216 celso alvizuri - [email protected]
count++;
} /* end stk loop */
} /* end dip loop */
// this part checks floats (not reliable)... Any suggestions?
if (sol.meca.stk==(grid.x0[0]+(grid.n[0]-1)*grid.step[0]) && sol.meca.dip==(grid.x0[1]+(grid.n[1]-1)*grid.step[1]) && sol.meca.rak==(grid.x0[2]+(grid.n[2]-1)*grid.step[2])){
loop++;
// changes the log file name for next sext search (for multiple log files - search over stk,dip and rake only)
if (debug) {
sprintf(logfile,"%s_%03d_%03d","log",edep,loop);
logf = fopen(logfile,"w");
fclose(logf);
}
logf = fopen("log_diff","a"); //fprintf(stderr,"completed stk,dip,rake loop\n"); //summary log file - Minimum after each Mw search (and all orientations within it)
fprintf(logf,"%d\t%d\t%3.1f\t%3.1f\t%3.1f\t%f\t%2.2f\t%2.2f\t%2.2f\n",loop,interp, best_sol.meca.stk, best_sol.meca.dip, best_sol.meca.rak, best_sol.err, mt[0].par, mt[1].par, mt[2].par);
fclose(logf);
} // END XYZ TEST
} /* end rake loop */
// output values during grid search
fprintf(stderr,"Mw=%2.1f \t iso=%2.2f \t clvd=%2.2f\n",temp[0],temp[1],temp[2]);
/* output smallest misfit at each (gamma,delta) on the lune */
if(misfit_on_lune)
{
fprintf(fidmol,"%6.2f %6.2f %6.2f %6.2f %6.2f %9.6e %9.6e %10.6f %10.6f %10.6f %10.6f %10.6f %10.6f %4.1f\n",
bestmisfit->gamma, bestmisfit->delta, bestmisfit->stk, bestmisfit->dip, bestmisfit->rak,
bestmisfit->misfit, 100.0*(1.-(bestmisfit->misfit/data2)*(bestmisfit->misfit/data2)),
bestmisfit->mrr, bestmisfit->mtt, bestmisfit->mpp,
bestmisfit->mrt, bestmisfit->mrp, bestmisfit->mtp,
bestmisfit->mag);
}
} /* end clvd loop */
} /* end iso loop */
} /* end mag loop */
// count number of solutions computed
// (this is ongoing, this variable may be deleted)
// # 20151216 celso alvizuri - [email protected]
fprintf(stderr, "\ntotal solutions processed:\n%d\n", count);
if(misfit_on_lune)
{
fclose(fidmol);
free(bestmisfit);
fprintf(stdout, "\nFinished writing waveform misfit to file out.misfit.wf_\n");
}
if(only_first_motion)
{
fclose(fidfmp);
fprintf(stderr,"\nFinished writing to file out.misfit.fmp_\n");
fprintf(stderr,"No figure should be created (no -P flag) in this mode.\n");
}
// end writing data for postprocessing
fclose(fidmt);
fclose(fidgd);
if (debug) fprintf(stderr, "Mw=%5.2f iso=%5.2f clvd=%5.2f misfit = %9.3e\n", mt[0].par, mt[1].par, mt[2].par, best_sol.err);
if (interp==0) return(best_sol);
/* do interpolation */
// Code does not reach here - return(best_sol) is happening before
best_sol.err = grid3d(grid.err,&(grid.n[0]),s3d,&(best_sol.flag),&(best_sol.ms),best_sol.others);
if (debug) fprintf(stderr, " interpolation misfit = %9.3e\n", best_sol.err);
best_sol.meca.stk = grid.x0[0]+s3d[0]*grid.step[0];
best_sol.meca.dip = grid.x0[1]+s3d[1]*grid.step[1];
best_sol.meca.rak = grid.x0[2]+s3d[2]*grid.step[2];
for(i=0;i<3;i++) best_sol.dev[i] = s3d[3+i]/(grid.step[i]*grid.step[i]);
best_sol.dev[3] = s3d[6]/(grid.step[0]*grid.step[1]);
best_sol.dev[4] = s3d[7]/(grid.step[0]*grid.step[2]);
best_sol.dev[5] = s3d[8]/(grid.step[1]*grid.step[2]);
fprintf(stderr,"=======================");
return(best_sol);
} // end loop for option: search=1
else{
if ( npar ) { // line-search for mw, iso, and clvd ================================
npar--;
dx = mt[npar].dd;
i = 1; if (dx>0.001) i = 0;
sol = error(npar,nda,obs0,nfm,fm,fm_thr,max_shft,tie,mt,grid,i,bootstrap,search,norm);
if (dx>0.001) { /* do line search */
mt[npar].par += dx;
sol2 = error(npar,nda,obs0,nfm,fm,fm_thr,max_shft,tie,mt,grid,0,bootstrap,search,norm);
if (sol2.err > sol.err) { /* this is the wrong direction, turn around */
dx = -dx;
sol1 = sol2; sol2 = sol; sol = sol1; /*swap sol, sol2 */
mt[npar].par += dx;
}
while(sol2.err < sol.err) { /* keep going until passing by the mininum */
sol1 = sol;
sol = sol2;
mt[npar].par += dx;
if (mt[npar].par>mt[npar].max || mt[npar].par<mt[npar].min) sol2.err = sol1.err;
else sol2 = error(npar,nda,obs0,nfm,fm,fm_thr,max_shft,tie,mt,grid,0,bootstrap,search,norm);
}
mt[npar].sigma = 2*dx*dx/(sol2.err+sol1.err-2*sol.err);
mt[npar].par -= dx+0.5*dx*(sol2.err-sol1.err)/(sol2.err+sol1.err-2*sol.err);
sol = error(npar,nda,obs0,nfm,fm,fm_thr,max_shft,tie,mt,grid,1,bootstrap,search,norm);
} else {
mt[npar].sigma = 0.;
}
return(sol);
}
else { // the base case: grid-search for strike, dip, and rake =============
amp = pow(10.,1.5*mt[0].par+16.1-20);
best_sol.err = FLT_MAX;
grd_err = grid.err;
for(i_rak=0; i_rak<grid.n[2]; i_rak++) {
sol.meca.rak=grid.x0[2]+i_rak*grid.step[2];
for(i_dip=0; i_dip<grid.n[1]; i_dip++) {
sol.meca.dip=grid.x0[1]+i_dip*grid.step[1];
for(i_stk=0; i_stk<grid.n[0]; i_stk++) {
sol.meca.stk=grid.x0[0]+i_stk*grid.step[1];
nmtensor(mt[1].par,mt[2].par,sol.meca.stk,sol.meca.dip,sol.meca.rak,mtensor);
if (check_first_motion(mtensor,fm,nfm,fm_thr)<0) {
*grd_err++ = sol.err = FLT_MAX;
continue;
}
if (bootstrap && interp==0) fprintf(stderr,"BOOTSTRAPPING %5.2f %5.2f %5.2f %5.1f %5.1f %5.1f\n", mt[0].par, mt[1].par, mt[2].par, sol.meca.stk, sol.meca.dip, sol.meca.rak);
//--------------KEY COMMAND---call misfit function------
sol=calerr(nda,obs0,max_shft,tie,norm,mtensor,amp,sol);
//fprintf(stderr, "Ncomp=%d\n",Ncomp);
sol.err=sol.err/Ncomp;
*grd_err++ = sol.err; /*error for this solution*/
if (best_sol.err>sol.err)
best_sol=sol;
if (debug) {
logf = fopen(logfile,"a");
fprintf(logf,"%3.1f\t%3.1f\t%3.1f\t%e\t%2.1f\t%2.2f\t%2.2f\t%e\t%f\t%f\t%f\t%f\t%f\t%f\n",sol.meca.stk, sol.meca.dip, sol.meca.rak, sol.err/data2, mt[0].par, mt[1].par, mt[2].par, amp*1.0e20, mtensor[0][0], mtensor[1][1], mtensor[2][2], mtensor[0][1], mtensor[0][2], mtensor[1][2]);
fclose(logf);
}
} // loop for stk
} // loop for dip
if (sol.meca.stk==360. && sol.meca.dip==90. && sol.meca.rak==90.){
loop++;
if (debug) {
sprintf(logfile,"%s_%03d","log",loop);
logf = fopen(logfile,"a");
fclose(logf);
}
logf = fopen("log_diff","a");
fprintf(logf,"%d\t%d\t%3.1f\t%3.1f\t%3.1f\t%f\t%2.2f\t%2.2f\t%2.2f\n",loop,interp, best_sol.meca.stk, best_sol.meca.dip, best_sol.meca.rak, best_sol.err, mt[0].par, mt[1].par, mt[2].par);
fclose(logf);
}
}
if (debug) fprintf(stderr, "Mw=%5.2f iso=%5.2f clvd=%5.2f misfit = %9.3e\n", mt[0].par, mt[1].par, mt[2].par, best_sol.err);
if (interp == 0) return(best_sol);
/* do interpolation */
best_sol.err = grid3d(grid.err,&(grid.n[0]),s3d,&(best_sol.flag),&(best_sol.ms),best_sol.others);
if (debug) fprintf(stderr, " interpolation misfit = %9.3e\n", best_sol.err);
best_sol.meca.stk = grid.x0[0]+s3d[0]*grid.step[0];
best_sol.meca.dip = grid.x0[1]+s3d[1]*grid.step[1];
best_sol.meca.rak = grid.x0[2]+s3d[2]*grid.step[2];
for(i=0;i<3;i++) best_sol.dev[i] = s3d[3+i]/(grid.step[i]*grid.step[i]);
best_sol.dev[3] = s3d[6]/(grid.step[0]*grid.step[1]);
best_sol.dev[4] = s3d[7]/(grid.step[0]*grid.step[2]);
best_sol.dev[5] = s3d[8]/(grid.step[1]*grid.step[2]);
return(best_sol);
}
}
}