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Response.c
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Response.c
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#include "Constants.h"
#include "IMRPhenomD.h"
#include <gsl/gsl_spline.h>
#include <gsl/gsl_fft_real.h>
#include <gsl/gsl_fft_halfcomplex.h>
#include <gsl/gsl_eigen.h>
#include <gsl/gsl_linalg.h>
#include <gsl/gsl_cblas.h>
#include <gsl/gsl_rng.h>
#include <gsl/gsl_randist.h>
#include <time.h>
#include "Declarations.h"
void het_space(struct Data *dat, struct Het *het, int ll, double *params, double *min, double *max)
{
int i, id, j, k, ii, jj, kk, MN, MM, jmin, flag, djmax, N, M, J, NR;
int jmid, boost;
int pflag;
double **Ar, ***Ap, **Pr, ***Pp;
double ***Cs, ***Sn, ***DH;
double *dfa;
double *fgrid;
double fstop;
char filename[1024];
double k0, k1, k2;
double norm0, norm1;
double x, y, z;
double tol, tl, tola, tla;
double cmid, smid, dmid;
FILE *out;
double *ratio;
int *stst;
double **fisher, **cov;
double **evec, *eval;
double **dparams, *px;
double alpha0, z0, zs, alphanew;
double leta, eta;
double alphax, dz, LDLmin, Lmax;
double kxm, dfmax;
N = dat->N;
pflag = 1; // print diagnostics if pflag = 1
int Nch = dat->Nch;
het->Nch = Nch;
int NF;
int NFmax = 100000;
double *AF, *PF, *FF, *TF;
FF = (double*)malloc(sizeof(double)* (NFmax));
SetUp(dat, ll, params, NFmax, &NF, FF);
x = SNRstart(dat, ll, params);
if(x > FF[0]) FF[0] = x;
// printf("%f %f\n", FF[0], FF[NF-1]);
MN = (int)(ceil(FF[0]*dat->Tobs));
MM = (int)(floor(FF[NF-1]*dat->Tobs));
J = 2;
tol = 0.00001;
dparams = double_matrix(NP,NP);
fisher = double_matrix(NP,NP);
evec = double_matrix(NP,NP);
eval = double_vector(NP);
px = double_vector(NP);
dfa = double_vector(N/2);
FisherFast(dat, 2, params, fisher);
FisherEvec(fisher, eval, evec, NP);
efix(dat, het, 0, 2, params, min, max, eval, evec, 50.0);
for (i = 0; i < NP; ++i)
{
for (j = 0; j < NP; ++j) px[j] = params[j] + eval[i]*evec[i][j];
if(ll == 2)
{
leta = (5.0/3.0)*(px[0]-px[1]);
eta = exp(leta);
if(eta > 0.25)
{
for (j = 0; j < NP; ++j) px[j] = params[j] - alpha0*eval[i]*evec[i][j];
}
}
// re-map angular parameters to their proper range
x = px[4]/PI;
px[4] = (x-floor(x))*PI;
if(x < 0.0) px[4] += 1.0;
x = px[8]/TPI;
px[8] = (x-floor(x))*TPI;
if(x < 0.0) px[8] += 1.0;
x = px[9]/PI;
px[9] = (x-floor(x))*PI;
if(x < 0.0) px[9] += 1.0;
while(px[4] > PI) px[4] -= PI;
while(px[4] < 0.0) px[4] += PI;
while(px[8] > TPI) px[8] -= TPI;
while(px[8] < 0.0) px[8] += TPI;
while(px[9] > PI) px[9] -= PI;
while(px[9] < 0.0) px[9] += PI;
for (j = 0; j < NP; ++j) if(px[j] > max[j]) px[j] = max[j];
for (j = 0; j < NP; ++j) if(px[j] < min[j]) px[j] = min[j];
if(ll == 2)
{
leta = (5.0/3.0)*(px[0]-px[1]);
eta = exp(leta);
if(eta > 0.25) px[0] = px[1] + 3.0/5.0*log(0.2499);
if(eta < etamin) px[0] = px[1] + 3.0/5.0*log(etamin);
}
for (j = 0; j < NP; ++j) dparams[i][j] = px[j];
}
fgrid = double_vector(2*NF);
Ar = double_matrix(Nch,NF);
Ap = double_tensor(NP,Nch,NF);
Pr = double_matrix(Nch,NF);
Pp = double_tensor(NP,Nch,NF);
Cs = double_tensor(NP,Nch,NF);
Sn = double_tensor(NP,Nch,NF);
DH = double_tensor(NP,Nch,NF);
TF = (double*)malloc(sizeof(double)* (NF));
PF = (double*)malloc(sizeof(double)* (NF));
AF = (double*)malloc(sizeof(double)* (NF));
double phic, tc;
// reference amplitude and phase
fullphaseamp(dat, ll, NF, params, FF, Ar[0], Ar[1], Pr[0], Pr[1]);
// perturbed amplitude and phase
for(i = 0; i < NP; i++) fullphaseamp(dat, ll, NF, dparams[i], FF, Ap[i][0], Ap[i][1], Pp[i][0], Pp[i][1]);
// phase difference vs frequency and ampltide ratio vs frequency
for(i = 0; i < NP; i++)
{
for(id = 0; id < Nch; id++)
{
for(j = 0; j < NF; j++)
{
Cs[i][id][j] = 0.0;
Sn[i][id][j] = 0.0;
DH[i][id][j] = 0.0;
if(Ar[id][j] > 0.0)
{
Cs[i][id][j] = 1.0-Ap[i][id][j]/Ar[id][j]*cos(Pr[id][j]-Pp[i][id][j]);
Sn[i][id][j] = Ap[i][id][j]/Ar[id][j]*sin(Pr[id][j]-Pp[i][id][j]);
DH[i][id][j] = Cs[i][id][j]*Cs[i][id][j]+Sn[i][id][j]*Sn[i][id][j];
}
}
}
}
if(pflag == 1)
{
out = fopen("fspace.dat","w");
for(j = 0; j < NF; j++)
{
fprintf(out, "%e ", FF[j]);
for(i = 0; i < NP; i++) fprintf(out, "%e %e %e ", Cs[i][0][j], Sn[i][0][j], DH[i][0][j]);
fprintf(out, "\n");
}
fclose(out);
}
dfmax = 1.0e-3;
M = 0;
fgrid[M] = FF[0];
jmin = 0;
for(j = 1; j < NF; j++)
{
flag = 0;
// tl = tol*ratio[j]; // scale the tolerance by SNR contribution
// if(tl < tol) tl = tol;
tl = tol;
// printf("%f %e\n", (double)(j)/Tobs, tl);
// linear interpolation at the mid-point
jmid = (j+jmin)/2;
// printf("%d %d\n", j, jmid);
for(id = 0; id < Nch; id++)
{
for(i = 0; i < NP; i++)
{
cmid = (Cs[i][id][jmin]*(FF[j]-FF[jmid])+ Cs[i][id][j]*(FF[jmid]-FF[jmin]))/(FF[j]-FF[jmin]);
smid = (Sn[i][id][jmin]*(FF[j]-FF[jmid])+ Sn[i][id][j]*(FF[jmid]-FF[jmin]))/(FF[j]-FF[jmin]);
dmid = (DH[i][id][jmin]*(FF[j]-FF[jmid])+ DH[i][id][j]*(FF[jmid]-FF[jmin]))/(FF[j]-FF[jmin]);
//printf("%d %d %d %e %e\n", j, id, i, Cs[i][id][jmid], cmid);
if(fabs(Cs[i][id][jmid]-cmid) > tl || fabs(Sn[i][id][jmid]-smid) > tl || fabs(DH[i][id][jmid]-dmid) > tl)
{
flag = 1;
//printf("%d %d %d %f\n", j, id, i, tl);
}
}
}
// max frequency spacing
if(FF[j]-FF[jmin] > dfmax) flag = 1;
if(flag == 1) // re-start
{
jmin = j;
M++;
fgrid[M] = FF[j];
}
}
if(pflag == 1)
{
out = fopen("df.dat","w");
for (i = 0; i < M; ++i)
{
fprintf(out,"%e %e\n", fgrid[i], fgrid[i+1]-fgrid[i]);
}
fclose(out);
}
for (i = 0; i < N/2; ++i) dfa[i] = 1.0/dat->Tobs;
for(ii = 0; ii < M-1; ii++)
{
x = fgrid[ii+1]-fgrid[ii];
kk = (int)(dat->Tobs*fgrid[ii]);
jj = (int)(dat->Tobs*fgrid[ii+1]);
for (i = kk; i < jj; ++i)
{
dfa[i] = x;
}
}
for (i = jj; i < N/2; ++i) dfa[i] = dfmax;
int *fgflat;
fgflat = int_vector(2*M);
j = MN;
ii = 0;
fgflat[ii] = j;
do
{
jmin = (int)(rint(dat->Tobs*dfa[j]));
//printf("%d %d %d %e\n", j, j+jmin*J, jmin, dfa[j]);
do
{
flag = 0;
k = j+jmin*J;
for (i = j; i <= k; ++i)
{
if(i < N/2)
{
jj = (int)(rint(dat->Tobs*dfa[i]));
if(jj < jmin)
{
jmin = jj;
flag = 1;
}
}
else
{
flag = 0;
}
}
//printf("%d %d %d\n", j, j+jmin*J, jmin);
}while(flag == 1);
j = k;
for (i = 0; i < J; ++i)
{
ii++;
fgflat[ii] = fgflat[ii-1]+jmin;
// printf("%d %d %d %d\n", ii, fgflat[ii], jmin, MM);
}
}while(j < MM);
// fix the last section so it ends at MM
jmin = (MM-fgflat[ii-J])/J;
if(jmin >= 1)
{
ii -= J;
// printf("\n%d %d %d\n", jmin, fgflat[ii-1], fgflat[ii-1]+J*jmin);
for (i = 0; i < J; ++i)
{
ii++;
fgflat[ii] = fgflat[ii-1]+jmin;
}
}
// printf("%d %d %d\n", fgflat[ii], fgflat[ii-J], MM);
if(pflag == 1)
{
out = fopen("df_flat.dat","w");
for (i = 0; i < ii; ++i)
{
fprintf(out,"%e %e\n", (double)(fgflat[i])/dat->Tobs, (double)(fgflat[i+1]-fgflat[i])/dat->Tobs);
}
fclose(out);
}
M = ii+1;
NR = ii/J;
het->J = J;
het->NR = NR;
het->M = M;
het->fgrid = int_vector(M);
het->freq = double_vector(M);
for (i = 0; i < M; ++i) het->fgrid[i] = fgflat[i];
for (i = 0; i < M; ++i) het->freq[i] = (double)(fgflat[i])/dat->Tobs;
het->MN = fgflat[0];
het->MM = fgflat[M-1]+1;
free(FF);
free(TF);
free(PF);
free(AF);
free_int_vector(fgflat);
free_double_vector(dfa);
//free_double_vector(ratio);
//free_int_vector(stst);
free_double_matrix(dparams,NP);
free_double_matrix(fisher,NP);
free_double_matrix(evec,NP);
free_double_vector(eval);
free_double_vector(px);
free_double_vector(fgrid);
free_double_matrix(Ar,Nch);
free_double_tensor(Ap,NP,Nch);
free_double_matrix(Pr,Nch);
free_double_tensor(Pp,NP,Nch);
free_double_tensor(Cs,NP,Nch);
free_double_tensor(Sn,NP,Nch);
free_double_tensor(DH,NP,Nch);
}
void fullphaseamp(struct Data *dat, int ll, int K, double *params, double *freq, double *Aamp, *Eamp, *Aphase, *Ephase)
{
// full frequency template, amplitude and phase
int i;
double tc, phic, kxm;
double *TF, *PF, *AF;
FILE *out;
TF = (double*)malloc(sizeof(double)* (K));
PF = (double*)malloc(sizeof(double)* (K));
AF = (double*)malloc(sizeof(double)* (K));
// reference amplitude and phase
Intrinsic(ll, params, dat->Tobs, K, freq, TF, PF, AF);
// Have to add in the merger time and phase since they are not in the intrinsic or extrinsic subroutines
phic = params[4]; // merger phase
tc = params[5]; // merger time
for(i=0; i< K; i++)
{
PF[i] -= TPI*freq[i]*(dat->Tend-tc + dat->dt/2.0)-2.0*phic;
}
Extrinsic(params, dat->Tstart, dat->Tend, K, freq, TF, PF, AF, Aamp, Eamp, Aphase, Ephase, &kxm);
free(TF);
free(PF);
free(AF);
}
void antennaphaseamp(struct Data *dat, int ll, double *params)
{
// antenna pattern modulation of the amplitude and phase
int i, K;
double fmax, fr;
double *TF, *PF, *AF;
double *FF, *Aamp, *Eamp, *Aphase, *Ephase;
FILE *out;
fmax = FofT(ll, dat->Tend, params, &fr, dat->dt, dat->Tend);
K = (int)(fmax*dat->Tobs);
FF = (double*)malloc(sizeof(double)* (K));
TF = (double*)malloc(sizeof(double)* (K));
PF = (double*)malloc(sizeof(double)* (K));
AF = (double*)malloc(sizeof(double)* (K));
Aamp = (double*)malloc(sizeof(double)* (K));
Eamp = (double*)malloc(sizeof(double)* (K));
Aphase = (double*)malloc(sizeof(double)* (K));
Ephase = (double*)malloc(sizeof(double)* (K));
for(i=1; i< K; i++) FF[i] = (double)(i)/dat->Tobs;
FF[0] = FF[1];
// reference amplitude and phase
Intrinsic(ll, params, dat->Tobs, K, FF, TF, PF, AF);
Antenna(params, dat->Tstart, dat->Tend, K, FF, TF, Aamp, Eamp, Aphase, Ephase);
out = fopen("ft_ant.dat","w");
for(i=0; i< K; i++)
{
if(FF[i] < fr && TF[i] < dat->Tend && TF[i] > dat->Tstart) fprintf(out, "%e %e %e %e %e %e\n", TF[i], FF[i], Aamp[i], Eamp[i], Aphase[i], Ephase[i]);
}
free(Aamp);
free(Eamp);
free(Aphase);
free(Ephase);
free(FF);
free(TF);
free(PF);
free(AF);
}
// Just the antenna pattern contributions to the phase and amplitude evolution
void Antenna(double *params, double Tstart, double Tend, int NF, double *FF, double *TF, double *AAmp, double *EAmp, double *APhase, double *EPhase)
{
/* Indicies */
int i,j, k, n, m;
/* Time and distance variables */
double *xi;
double pa, pe;
double paold, peold;
double ja, je;
/* Miscellaneous */
double xm, fstep, power, om, mx, tx, x;
double *ta, *xia;
double *FpAR, *FcAR, *FpER, *FcER;
double *FpAI, *FcAI, *FpEI, *FcEI;
double t, f, kdotx, Amp, Phase, RR, II;
int NA, flag;
double iota, cosi;
double Aplus, Across;
double Tcut;
xi = (double*)malloc(sizeof(double)* (NF));
FpAR = (double*)malloc(sizeof(double)* (NF));
FcAR = (double*)malloc(sizeof(double)* (NF));
FpER = (double*)malloc(sizeof(double)* (NF));
FcER = (double*)malloc(sizeof(double)* (NF));
FpAI = (double*)malloc(sizeof(double)* (NF));
FcAI = (double*)malloc(sizeof(double)* (NF));
FpEI = (double*)malloc(sizeof(double)* (NF));
FcEI = (double*)malloc(sizeof(double)* (NF));
RAantenna(params, NF, TF, FF, xi, FpAR, FpAI, FcAR, FcAI, FpER, FpEI, FcER, FcEI);
for(n=0; n< NF; n++)
{
AAmp[n] = 0.0;
EAmp[n] = 0.0;
APhase[n] = 0.0;
EPhase[n] = 0.0;
}
cosi = params[10]; // cos of inclination
Aplus = 0.5*(1.+cosi*cosi);
Across = -cosi;
n = 0;
RR = FpAR[n]*Aplus - FcAI[n]*Across;
II = FcAR[n]*Across + FpAI[n]*Aplus;
paold = atan2(II,RR);
if(paold < 0.0) paold += TPI;
RR = FpER[n]*Aplus - FcEI[n]*Across;
II = FcER[n]*Across + FpEI[n]*Aplus;
peold = atan2(II,RR);
if(peold < 0.0) peold += TPI;
ja = 0.0;
je = 0.0;
for(n=0; n< NF; n++)
{
// Barycenter time and frequency
t = TF[n];
f = FF[n];
kdotx = t-xi[n];
//Phase = -2.0*PI*f*kdotx;
RR = FpAR[n]*Aplus - FcAI[n]*Across;
II = FcAR[n]*Across + FpAI[n]*Aplus;
pa = atan2(II,RR);
if(pa < 0.0) pa += TPI;
if(pa-paold > 6.0) ja -= TPI;
if(paold-pa > 6.0) ja += TPI;
paold = pa;
AAmp[n] = sqrt(RR*RR+II*II);
APhase[n] = pa+ja;
RR = FpER[n]*Aplus - FcEI[n]*Across;
II = FcER[n]*Across + FpEI[n]*Aplus;
pe = atan2(II,RR);
if(pe < 0.0) pe += TPI;
if(pe-peold > 6.0) je -= TPI;
if(peold-pe > 6.0) je += TPI;
peold = pe;
EAmp[n] = sqrt(RR*RR+II*II);
EPhase[n] = pe+je;
}
/* Deallocate Arrays */
free(xi);
free(FcAR);
free(FpAR);
free(FcER);
free(FpER);
free(FcAI);
free(FpAI);
free(FcEI);
free(FpEI);
return;
}
void freehet(struct Het *het)
{
free_double_tensor(het->IP, het->NR,1+het->J);
free_double_tensor(het->SL,het->NR,het->Nch);
free_double_matrix(het->amp,het->Nch);
free_double_matrix(het->phase,het->Nch);
free_double_matrix(het->rc,het->Nch);
free_double_matrix(het->rs,het->Nch);
free_double_matrix(het->dc,het->Nch);
free_double_matrix(het->ds,het->Nch);
free_double_matrix(het->aa,het->Nch);
free_double_tensor(het->lc,het->NR,het->Nch);
free_double_tensor(het->ls,het->NR,het->Nch);
free_double_tensor(het->ldc,het->NR,het->Nch);
free_double_tensor(het->lds,het->NR,het->Nch);
free_double_vector(het->pref);
free_int_vector(het->fgrid);
free_double_vector(het->freq);
free_double_vector(het->logLR);
free_double_vector(het->DD);
}
void heterodyne(struct Data *dat, struct Het *het, int ll, double *params)
{
int i, id, j, k, n;
double f, fstop, x, y, z;
double **hb, **rb, **ampb, **phaseb;
double cp, sp;
double Tobs;
double **RC, **RS, **AA;
double **DC, **DS;
double logL, HH, HR;
double kxm;
double phic, tc, dt;
int M, N, MM, MN, NR, ds, J, U;
int Nch = het->Nch;
FILE *out;
M = het->M;
MM = het->MM;
MN = het->MN;
J = het->J;
NR = het->NR;
N = dat->N;
Tobs = dat->Tobs;
het->IP = double_tensor(NR,J+1,J+1);
het->SL = double_tensor(NR,Nch,J+1);
het->amp = double_matrix(Nch,M);
het->phase = double_matrix(Nch,M);
het->rc = double_matrix(Nch,NR);
het->rs = double_matrix(Nch,NR);
het->dc = double_matrix(Nch,NR);
het->ds = double_matrix(Nch,NR);
het->aa = double_matrix(Nch,NR);
het->lc = double_tensor(NR,Nch,J+1);
het->ls = double_tensor(NR,Nch,J+1);
het->ldc = double_tensor(NR,Nch,J+1);
het->lds = double_tensor(NR,Nch,J+1);
het->pref = double_vector(NP); // keep a copy of the source parameters used for the heterodyne
het->logLR = double_vector(Nch); // reference likelihood in each channel
het->DD = double_vector(Nch); // data inner product (used when fitting noise level)
for(j = 0; j < NP; j++) het->pref[j] = params[j];
hb = double_matrix(Nch,N);
rb = double_matrix(Nch,N);
RS = double_matrix(Nch,N);
RC = double_matrix(Nch,N);
DS = double_matrix(Nch,N);
DC = double_matrix(Nch,N);
AA = double_matrix(Nch,N);
ampb = double_matrix(Nch,MM);
phaseb = double_matrix(Nch,MM);
// full frequency template, amplitude and phase
double *FF;
FF = double_vector(MM);
FF[0] = 1.0/dat->Tobs;
for (i = 1; i < MM; ++i) FF[i] = (double)(i)/dat->Tobs;
fullphaseamp(dat, ll, MM, params, FF, ampb[0], ampb[1], phaseb[0], phaseb[1]);
/*
out = fopen("wtf.dat","w");
for (i = 1; i < MM; ++i) fprintf(out,"%e %e %e %e %e\n", FF[i], ampb[0][i], ampb[1][i], phaseb[0][i], phaseb[1][i]);
fclose(out);
*/
for(id = 0; id < Nch; id++)
{
for (i = 0; i < N; ++i)
{
hb[id][i] = 0.0;
}
}
for(id = 0; id < Nch; id++)
{
for (i = 1; i < MM; ++i)
{
hb[id][i] = ampb[id][i]*cos(phaseb[id][i]);
hb[id][N-i] = ampb[id][i]*sin(phaseb[id][i]);
}
}
// store the downsampled reference amplitude and phase
//fullphaseamp(dat, ll, M, params, het->freq, het->amp[0], het->amp[1], het->phase[0], het->phase[1]);
for(id = 0; id < Nch; id++)
{
for (i = 0; i < M; ++i)
{
n = het->fgrid[i];
//printf("%d %d %e %e %e\n", i, n, FF[n], het->freq[i], FF[n]-het->freq[i]);
//printf("%d %e %e %e\n", i, het->amp[id][i], ampb[id][n], het->amp[id][i]-ampb[id][n]);
het->amp[id][i] = ampb[id][n];
het->phase[id][i] = phaseb[id][n];
}
}
/*
out = fopen("wtf2.dat","w");
for (i = 0; i < M; ++i) fprintf(out,"%e %e %e\n", het->freq[i], het->amp[0][i], het->amp[1][i]);
fclose(out);
*/
// form up resdiuals
for(id = 0; id < Nch; id++)
{
for(j = 0; j < N; j++) rb[id][j] = dat->data[id][j] - hb[id][j];
}
logL = 0.0;
x = 0.0;
for(id = 0; id < Nch; id++)
{
HH = fourier_nwip2(hb[id], hb[id], dat->SN[id], MN, MM, N);
HR = fourier_nwip2(rb[id], hb[id], dat->SN[id], MN, MM, N);
het->DD[id] = fourier_nwip2(dat->data[id], dat->data[id], dat->SN[id], MN, MM, N);
het->logLR[id] = HR+0.5*HH;
logL += het->logLR[id];
x += HH;
//printf("HetRef %d %f %f\n", id, HH, HR);
}
het->SNR = sqrt(x);
printf("ref logL = %e\n", logL);
for(id = 0; id < Nch; id++)
{
for(j = 0; j < N; j++)
{
RC[id][j] = 0.0;
RS[id][j] = 0.0;
DC[id][j] = 0.0;
DS[id][j] = 0.0;
AA[id][j] = 0.0;
}
}
for(id = 0; id < Nch; id++)
{
for(j = 1; j < MM; j++)
{
cp = cos(phaseb[id][j]);
sp = sin(phaseb[id][j]);
x = ampb[id][j]/dat->SN[id][j];
RC[id][j] = 2.0*(rb[id][j]*cp+rb[id][N-j]*sp)*x;
RS[id][j] = 2.0*(-rb[id][j]*sp+rb[id][N-j]*cp)*x;
AA[id][j] = ampb[id][j]*ampb[id][j]/dat->SN[id][j];
DC[id][j] = 2.0*(dat->data[id][j]*cp+dat->data[id][N-j]*sp)*x;
DS[id][j] = 2.0*(-dat->data[id][j]*sp+dat->data[id][N-j]*cp)*x;
}
}
// store boundary values for correcting overcount
for(id = 0; id < Nch; id++)
{
for (i = 0; i < NR; ++i)
{
k = het->fgrid[i*J];
het->rc[id][i] = RC[id][k];
het->rs[id][i] = RS[id][k];
het->dc[id][i] = DC[id][k];
het->ds[id][i] = DS[id][k];
het->aa[id][i] = AA[id][k];
}
}
double **P, **PP;
PP = double_matrix(J+1,J+1); // downsampled Legendres
for (i = 0; i < NR; ++i)
{
for(id = 0; id < Nch; id++)
{
for(j = 0; j <= J; j++)
{
het->SL[i][id][j] = 0.0;
het->lc[i][id][j] = 0.0;
het->ls[i][id][j] = 0.0;
het->ldc[i][id][j] = 0.0;
het->lds[i][id][j] = 0.0;
}
}
}
for (i = 0; i < NR; ++i)
{
//printf("%d %d %d\n", (i+1)*J, M, het->fgrid[(i+1)*J]);
if((i+1)*J < M)
{
U = het->fgrid[(i+1)*J]-het->fgrid[i*J];
P = double_matrix(J+1,U+1);
legendre_maker(J, U, P);
// downsampled Legendre
for (j = 0; j <= J; ++j)
{
for (k = 0; k <= J; ++k)
{
PP[j][k] = P[j][het->fgrid[i*J+k]-het->fgrid[i*J]];
}
}
// store inverse of downsampled Legendre
Inverse(PP, het->IP[i], J+1);
/*
printf("%d\n", i);
for (j = 0; j <= J; ++j)
{
for (k = 0; k <= J; ++k)
{
printf("%f ", het->IP[i][j][k]);
}
printf("\n");
}
printf("\n");
*/
for(id = 0; id < Nch; id++)
{
for(n = 0; n <= U; n++)
{
k = het->fgrid[i*J]+n;
for(j = 0; j <= J; j++)
{
het->SL[i][id][j] += AA[id][k]*P[j][n];
het->lc[i][id][j] += RC[id][k]*P[j][n];
het->ls[i][id][j] += RS[id][k]*P[j][n];
het->ldc[i][id][j] += DC[id][k]*P[j][n];
het->lds[i][id][j] += DS[id][k]*P[j][n];
}
}
}
free_double_matrix(P,J+1);
}
}
//printf("done with setup\n");
free_double_matrix(ampb,Nch);
free_double_matrix(phaseb,Nch);
free_double_vector(FF);
free_double_matrix(PP,J+1);
free_double_matrix(RC,Nch);
free_double_matrix(RS,Nch);
free_double_matrix(DC,Nch);
free_double_matrix(DS,Nch);
free_double_matrix(AA,Nch);
free_double_matrix(hb,Nch);
free_double_matrix(rb,Nch);
}
double log_likelihood_het(struct Data *dat, struct Het *het, int ll, double *params, double *sx)
{
double **amp, **phase;
double **hc, **hs;
double HH, HR, logL;
double x, y;
double L0,L1;
double **cc, **ss;
double *uu, *vv;
int i, j, k, id, M, J, NR;
int Nch = het->Nch;
FILE *out;
logL = 0.0;
if(lhold == 0)
{
M = het->M;
J = het->J;
NR = het->NR;
amp = double_matrix(Nch,M);
phase = double_matrix(Nch,M);
cc = double_matrix(Nch,M);
ss = double_matrix(Nch,M);
hc = double_matrix(Nch,M);
hs = double_matrix(Nch,M);
uu = double_vector(J+1);
vv = double_vector(J+1);
fullphaseamp(dat, ll, M, params, het->freq, amp[0], amp[1], phase[0], phase[1]);
//out = fopen("check.dat","w");
for(id = 0; id < Nch; id++)
{
for(j = 0; j < M; j++)
{
cc[id][j] = 0.0;
hc[id][j] = 0.0;
hs[id][j] = 0.0;
if(het->amp[id][j] > 0.0)
{
cc[id][j] = 2.0*(het->amp[id][j]-amp[id][j]*cos(het->phase[id][j]-phase[id][j]));
ss[id][j] = 2.0*amp[id][j]*sin(het->phase[id][j]-phase[id][j]);
hc[id][j] = cc[id][j]/het->amp[id][j];
hs[id][j] = ss[id][j]/het->amp[id][j];
cc[id][j] = hc[id][j]*hc[id][j]+hs[id][j]*hs[id][j];
}
//if(id == 0) fprintf(out,"%d %.12e %e %f %f %f\n", j, het->freq[j], het->amp[id][j], hc[id][j], hs[id][j], cc[id][j]);
}
}
// fclose(out);
logL = 0.0;
for(id = 0; id < Nch; id++)
{
HH = 0.0;
HR = 0.0;
for(i = 0; i < NR; i++)
{
for(j = 0; j <= J; j++)
{
vv[j] = cc[id][i*J+j];
uu[j] = 0.0;
}
// get Legendre coefficicients for slow term
for(j = 0; j <= J; j++)
{
for(k = 0; k <= J; k++)
{
uu[j] += het->IP[i][j][k]*vv[k];
}
}
for(j = 0; j <= J; j++) HH += uu[j]*het->SL[i][id][j];
if(i < NR-2) HH -= het->aa[id][i+1]*vv[J]; // correction for overcount