double value(int n){
double rec = rectangle(n);
double theta = calc_theta(n);
double v = rec + theta/2.0 - sin(theta) + 0.25*sin(2.0*theta);
return v;
}
int main(int argc, char **argv)
{
/* output file pointers */
FILE *rlfp=NULL, *taufp=NULL, *e21fp=NULL;
FILE *e31fp=NULL, *e32fp=NULL, *plnfp=NULL;
FILE *f1fp=NULL, *l1fp=NULL;
FILE *thetafp=NULL, *phifp=NULL, *dirfp=NULL;
FILE *erfp=NULL, *irfp=NULL, *qrfp=NULL;
FILE *headerfp=NULL, *pfiltfp=NULL, *sfiltfp=NULL;
FILE *nfiltfp=NULL, *efiltfp=NULL;
// FILE *pkur=NULL, *skur=NULL;
/* temporary file for trace headers */
/* (one 3C station only) */
char *file=NULL; /* base of output file name(s) */
char *fname=NULL; /* complete output file name */
char *angle=NULL; /* unit used for angles theta and phi */
char *win=NULL; /* shape of used time window */
float fangle=0.0; /* unit conversion factor applied to angles theta and phi */
int iwin=0; /* time window shape identifier */
/* flags (see selfdoc) */
int rl,theta,phi,tau,ellip,pln,f1,l1,dir,amp,verbose,all;
int i,j,icomp; /* indices for components (in loops) */
int it; /* index for time sample in main loop */
int iwl; /* correlation window length in samples */
int nstat; /* number of 3-component datasets */
int nt; /* number of time samples in one trace */
// int kwl; /* kurtosis window length in seconds */
float **data3c; /* three-component data ([1..3][0..nt-1]) */
float **a; /* covariance matrix (a[1..3][1..3]) */
float **v; /* eigenvectors of covariance matrix (v[1..3][1..3]) */
float *d; /* the corresponding eigenvalues (d[1..3]) */
float *w; /* time window weights for correlation window */
float dt; /* sampling interval in seconds */
float rlq; /* contrast factor of rectilinearity */
float wl; /* correlation window length in seconds */
float *data_e21=NULL; /* main ellipticity */
float *data_e31=NULL; /* second ellipticity */
float *data_e32=NULL; /* transverse ellipticity */
float *data_er=NULL; /* eigenresultant */
float *data_f1=NULL; /* flatness coefficient */
float *data_ir=NULL; /* instantaneous resultant */
float *data_l1=NULL; /* linearity coefficient */
float *data_phi=NULL; /* horizontal azimuth phi */
float *data_pln=NULL; /* planarity */
float *data_qr=NULL; /* quadratic resultant */
float *data_rl=NULL; /* rectilinearity factor */
float *data_tau=NULL; /* polarization parameter tau */
float *data_theta=NULL; /* inclination angle theta */
float *data_pfilt=NULL; /* P (vertical) polarization filter */
float *data_sfilt=NULL; /* S (horizontal) polarization filter */
float *data_zfilt=NULL; /* Z Filtered Trace */
float *data_nfilt=NULL; /* N Filtered Trace */
float *data_efilt=NULL; /* E Filtered Trace */
// float *data_kwl=NULL; /* Data for Kurtosis Window */
// float *data_pkur=NULL; /* Kurtosis detector for P */
// float *data_skur=NULL; /* Kurtosis detector for S */
float **data3c_dir=NULL; /* 3 components of direction of polarization ([1..3][0..nt-1]) */
/* initialize */
initargs(argc, argv);
requestdoc(1);
/* get info from first trace */
if(!gettr(&tr)) err("can't get first trace");
nt = tr.ns;
/* get parameters ... */
if (!getparstring("file", &file)) file="polar";
if (!getparstring("angle", &angle)) angle="rad";
if (!getparstring("win", &win)) win="boxcar";
if (!getparfloat("wl", &wl)) wl = 0.1;
if (!getparfloat("dt", &dt)) dt = ((double) tr.dt)/1000000.0;
if (!getparfloat("rlq", &rlq)) rlq = 1.0;
if (!getparint("verbose", &verbose)) verbose = 0;
// if (!getparint("kwl", &kwl)) kwl = 5 * ((int) 1/dt);
/* ... and output flags */
if (!getparint("all", &all)) all = 0;
if (!getparint("rl", &rl)) rl = (all) ? all : 1;
if (!getparint("dir", &dir)) dir = (all) ? 1 : 1;
if (!getparint("theta", &theta)) theta = (all) ? all : 0;
if (!getparint("phi", &phi)) phi = (all) ? all : 0;
if (!getparint("tau", &tau)) tau = (all) ? 1 : 0;
if (!getparint("ellip", &ellip)) ellip = (all) ? 1 : 0;
if (!getparint("pln", &pln)) pln = (all) ? 1 : 0;
if (!getparint("f1", &f1)) f1 = (all) ? 1 : 0;
if (!getparint("l1", &l1)) l1 = (all) ? 1 : 0;
if (!getparint("amp", &)) amp = (all) ? 1 : 0;
checkpars();
/* get time window shape */
if (STREQ(win, "boxcar")) iwin=WBOXCAR;
else if (STREQ(win, "bartlett")) iwin=WBARTLETT;
else if (STREQ(win, "hanning")) iwin=WHANNING;
else if (STREQ(win, "welsh")) iwin=WWELSH;
else err("unknown win=%s", win);
/* get unit conversion factor for angles */
if (STREQ(angle, "rad")) fangle=1.0;
else if (STREQ(angle, "deg")) fangle=180.0/PI;
else if (STREQ(angle, "gon")) fangle=200.0/PI;
else err("unknown angle=%s", angle);
/* convert seconds to samples */
if (!dt) {
dt = 0.004;
warn("dt not set, assuming dt=0.004");
}
iwl = NINT(wl/dt);
/* data validation */
if (iwl<1) err("wl=%g must be positive", wl);
if (iwl>nt) err("wl=%g too long for trace", wl);
if (!strlen(file)) err("file= not set and default overridden");
/* echo some information */
if (verbose && (theta || phi)) warn("computing angles in %s", angle);
if (verbose) warn("%s window length = %d samples\n", win, iwl);
if (rl && theta) warn("computing filtered phase");
/* open temporary file for trace headers */
headerfp = etmpfile();
/* set filenames and open files */
fname = malloc( strlen(file)+7 );
sprintf(fname, "%s.rl", file); if (rl) rlfp = efopen(fname, "w");
sprintf(fname, "%s.theta", file); if (theta) thetafp = efopen(fname, "w");
sprintf(fname, "%s.phi", file); if (phi) phifp = efopen(fname, "w");
sprintf(fname, "%s.tau", file); if (tau) taufp = efopen(fname, "w");
sprintf(fname, "%s.e21", file); if (ellip) e21fp = efopen(fname, "w");
sprintf(fname, "%s.e31", file); if (ellip) e31fp = efopen(fname, "w");
sprintf(fname, "%s.e32", file); if (ellip) e32fp = efopen(fname, "w");
sprintf(fname, "%s.pln", file); if (pln) plnfp = efopen(fname, "w");
sprintf(fname, "%s.f1", file); if (f1) f1fp = efopen(fname, "w");
sprintf(fname, "%s.l1", file); if (l1) l1fp = efopen(fname, "w");
sprintf(fname, "%s.dir", file); if (dir) dirfp = efopen(fname, "w");
sprintf(fname, "%s.er", file); if (amp) erfp = efopen(fname, "w");
sprintf(fname, "%s.ir", file); if (amp) irfp = efopen(fname, "w");
sprintf(fname, "%s.qr", file); if (amp) qrfp = efopen(fname, "w");
sprintf(fname, "%s.pfilt", file); if (rl && theta) pfiltfp = efopen(fname, "w");
sprintf(fname, "%s.sfilt", file); if (rl && theta) sfiltfp = efopen(fname, "w");
sprintf(fname, "%s.nfilt", file); if (rl && theta) nfiltfp = efopen(fname, "w");
sprintf(fname, "%s.efilt", file); if (rl && theta) efiltfp = efopen(fname, "w");
// sprintf(fname, "%s.pkur", file); if (rl && theta) pkur = efopen(fname, "w");
// sprintf(fname, "%s.skur", file); if (rl && theta) skur = efopen(fname, "w");
free(fname);
/* allocate space for input data and analysis matrices */
/* index ranges used here: data3c[1..3][0..nt-1], */
/* a[1..3][1..3], v[1..3][1..3], d[1..3] */
data3c = ealloc2float(nt,3); data3c-=1;
a = ealloc2float(3,3); a[0]-=1; a-=1;
v = ealloc2float(3,3); v[0]-=1; v-=1;
d = ealloc1float(3); d-=1;
/* calculate time window weights */
w = ealloc1float(iwl);
memset((void *) w, 0, iwl*FSIZE);
calc_window(w, iwl, iwin);
/* allocate and zero out space for output data */
if (rl) {
data_rl = ealloc1float(nt);
memset((void *) data_rl, 0, nt*FSIZE);
}
if (theta) {
data_theta = ealloc1float(nt);
memset((void *) data_theta, 0, nt*FSIZE);
}
if (phi) {
data_phi = ealloc1float(nt);
memset((void *) data_phi, 0, nt*FSIZE);
}
if (tau) {
data_tau = ealloc1float(nt);
memset((void *) data_tau, 0, nt*FSIZE);
}
if (ellip) {
data_e21 = ealloc1float(nt);
data_e31 = ealloc1float(nt);
data_e32 = ealloc1float(nt);
memset((void *) data_e21, 0, nt*FSIZE);
memset((void *) data_e31, 0, nt*FSIZE);
memset((void *) data_e32, 0, nt*FSIZE);
}
if (pln) {
data_pln = ealloc1float(nt);
memset((void *) data_pln, 0, nt*FSIZE);
}
if (f1) {
data_f1 = ealloc1float(nt);
memset((void *) data_f1, 0, nt*FSIZE);
}
if (l1) {
data_l1 = ealloc1float(nt);
memset((void *) data_l1, 0, nt*FSIZE);
}
if (amp) {
data_er = ealloc1float(nt);
data_ir = ealloc1float(nt);
data_qr = ealloc1float(nt);
memset((void *) data_er, 0, nt*FSIZE);
memset((void *) data_ir, 0, nt*FSIZE);
memset((void *) data_qr, 0, nt*FSIZE);
}
if (dir) {
data3c_dir = ealloc2float(nt,3); data3c_dir-=1;
for (i=1;i<=3;i++) memset((void *) data3c_dir[i], 0, nt*FSIZE);
}
if (rl && theta) {
data_pfilt = ealloc1float(nt);
memset((void *) data_pfilt, 0, nt*FSIZE);
data_sfilt = ealloc1float(nt);
memset((void *) data_pfilt, 0, nt*FSIZE);
/* data_3Cfilt = ealloc2float(nt,3);
for (i=1;i<=3;i++) memset((void *) data_3Cfilt[i], 0, nt*FSIZE); */
data_zfilt = ealloc1float(nt);
data_nfilt = ealloc1float(nt);
data_efilt = ealloc1float(nt);
memset((void *) data_zfilt, 0, nt*FSIZE);
memset((void *) data_nfilt, 0, nt*FSIZE);
memset((void *) data_efilt, 0, nt*FSIZE);
// data_pkur = ealloc1float(nt);
// data_skur = ealloc1float(nt);
// memset((void *) data_pkur, 0, nt*FSIZE);
// memset((void *) data_skur, 0, nt*FSIZE);
/* Allocate data for kurtosis window arrays */
// data_kwl = ealloc1float(iwl);
// memset((void *) data_kwl, 0, kwl*FSIZE);
}
/* ************************ BEGIN CALCULATION ******************************* */
/* loop over traces */
icomp=0;
nstat=0;
// Need to convert this do while loop into a for loop so as to be easier
// to parallelize
warn("Trace Start Time: %d %d %d %d %d", tr.year, tr.day, tr.hour, tr.minute, tr.sec);
do {
/* store trace header in temporary file and read data */
efwrite(&tr, HDRBYTES, 1, headerfp);
icomp++;
memcpy((void *)data3c[icomp], (const void *) tr.data, nt*FSIZE);
/* process 3-component dataset */
if (icomp==3) {
erewind(headerfp);
icomp = 0;
nstat++;
if (verbose)
fprintf(stderr,"%s: analyzing station %d \r",argv[0], nstat);
/* start loop over samples */
for (it=iwl/2;it<nt-iwl/2;it++) {
//warn("Sample %d", it);
/* covariance matrix */
for (i=1;i<=3;i++)
{
for (j=i;j<=3;j++)
{
a[i][j]=a[j][i]=covar(data3c[i], data3c[j], it-iwl/2, iwl, w);
}
}
/* compute eigenvalues and vectors */
eig_jacobi(a,d,v,3);
sort_eigenvalues(d,v,3);
/* polarization parameters */
if (rl) data_rl[it]=calc_rl(d,rlq,rl);
if (theta) data_theta[it]=calc_theta(v, theta) * fangle;
if (phi) data_phi[it]=calc_phi(v, phi) * fangle;
if (tau) data_tau[it]=calc_tau(d);
if (ellip) {
data_e21[it]=calc_ellip(d,2,1);
data_e31[it]=calc_ellip(d,3,1);
data_e32[it]=calc_ellip(d,3,2);
}
if (pln) data_pln[it]=calc_plan(d);
if (f1) data_f1[it]=calc_f1(d);
if (l1) data_l1[it]=calc_l1(d);
if (amp) data_er[it]=calc_er(d);
if (dir) calc_dir(data3c_dir,v,it);
if (rl && theta)
{
data_zfilt[it] = data3c[1][it] * calc_pfilt(rl, theta);
data_nfilt[it] = data3c[2][it] * calc_sfilt(rl, theta);
data_efilt[it] = data3c[3][it] * calc_sfilt(rl, theta);
data_pfilt[it] = data_zfilt[it];
data_sfilt[it] = (data_nfilt[it] + data_efilt[it]) / 2;
// data_pkur[it] = kurtosiswindow(data_pfilt,data_kwl,it - kwl/2,kwl,nt);
// data_skur[it] = kurtosiswindow(data_sfilt,data_kwl,it - kwl/2,kwl,nt);
}
} /* end loop over samples */
/* compute amplitude parameters */
if (amp) ampparams(data3c, data_ir, data_qr, nt, iwl);
/* *************************** END CALCULATION ****************************** */
/* ***************************** BEGIN WRITE ******************************** */
/* write polarization attributes to files */
if (rl) fputdata(rlfp, headerfp, data_rl, nt);
if (theta) fputdata(thetafp, headerfp, data_theta, nt);
if (phi) fputdata(phifp, headerfp, data_phi, nt);
if (tau) fputdata(taufp, headerfp, data_tau, nt);
if (ellip) {
fputdata(e21fp, headerfp, data_e21, nt);
fputdata(e31fp, headerfp, data_e31, nt);
fputdata(e32fp, headerfp, data_e32, nt);
}
if (pln) fputdata(plnfp, headerfp, data_pln, nt);
if (f1) fputdata(f1fp, headerfp, data_f1, nt);
if (l1) fputdata(l1fp, headerfp, data_l1, nt);
if (amp) {
fputdata(erfp, headerfp, data_er, nt);
fputdata(irfp, headerfp, data_ir, nt);
fputdata(qrfp, headerfp, data_qr, nt);
}
if (dir) fputdata3c(dirfp, headerfp, data3c_dir, nt);
if (rl && theta)
{
fputdata(pfiltfp, headerfp, data_pfilt, nt);
fputdata(sfiltfp, headerfp, data_sfilt, nt);
fputdata(nfiltfp, headerfp, data_nfilt, nt);
fputdata(efiltfp, headerfp, data_efilt, nt);
// fputdata(pkur, headerfp, data_pkur, nt);
// fputdata(skur, headerfp, data_skur, nt);
}
/* ****************************** END WRITE ********************************* */
} /* end of processing three-component dataset */
} while (gettr(&tr)); /* end loop over traces */
if (verbose) {
fprintf(stderr,"\n");
if (icomp) warn("last %d trace(s) skipped", icomp);
}
/* close files */
efclose(headerfp);
if (rl) efclose(rlfp);
if (theta) efclose(thetafp);
if (phi) efclose(phifp);
if (tau) efclose(taufp);
if (ellip) {
efclose(e21fp);
efclose(e31fp);
efclose(e32fp);
}
if (pln) efclose(plnfp);
if (f1) efclose(f1fp);
if (l1) efclose(l1fp);
if (amp) {
efclose(erfp);
efclose(irfp);
efclose(qrfp);
}
if (dir) efclose(dirfp);
if (rl && theta) {
efclose(pfiltfp);
efclose(sfiltfp);
// efclose(pkur);
// efclose(skur);
}
return(CWP_Exit());
}
