static void test_accuracy(int argc, char **argv){
double displacex=0.01;
double displacey=0.05;
double scale=1.01;/*.414065; */
int wrap=0;
double D=30;
double D2=32;
int save=1;
if(argc>1){
scale=strtod(argv[1], 0);
}
if(argc>2){
displacex=strtod(argv[2], 0);
}
if(argc>3){
displacey=strtod(argv[3], 0);
}
if(argc>4){
wrap=strtol(argv[4], 0, 10);
}
if(argc>5){
D=strtod(argv[5], 0);
}
if(argc>6){
D2=strtod(argv[6], 0);
}
if(argc>7){
save=strtol(argv[7], 0, 10);
}
double dx=1/64.;
double dsa=0.5;
map_t *screen=mapnew(D2/dx, D2/dx, dx, dx, 0);
dset((dmat*)screen, 1);
for(long iy=0; iy<screen->ny; iy++){
for(long ix=0; ix<screen->nx; ix++){
screen->p[ix+iy*screen->nx]=sin((double)ix/screen->nx*2*M_PI)*sin((double)iy/screen->ny*2*M_PI);
}
}
/*loc for the map */
loc_t *locin=mksqloc(screen->nx,screen->ny,dx,dx,screen->ox,screen->oy);
//pts_t *pts=realloc(mkannloc(D, 0, 1./2.,0), sizeof(pts_t));
pts_t *pts=realloc(mksqloc_auto(D/dsa, D/dsa, dsa, dsa), sizeof(pts_t));
pts->dx=dx;
pts->dy=dx;
pts->nx=dsa/dx;
pts->ny=pts->nx;
loc_t *loc=pts2loc(pts);
loc_create_map(locin);
loc_create_stat(loc);
loc_create_map(loc);
locstat_t *locstat=loc->stat;
map_t *screen2=mapnew2(locin->map);
dset((dmat*)screen2, NAN);
loc_embed(screen2, locin, screen->p);
double *phi_pts, *phi_loc, *phi_stat;
double *phi_loc2loc, *phi_h, *phi_cub, *phi_cub2, *phi_cubh;
double cubic=0.3;
int ii;
info("displacex=%g, displacey=%g, scale=%g, wrap=%d\n",
displacex, displacey,scale,wrap);
double diff1, diff2,diff3,diff14,diff15;
diff1=0;
diff2=0;
diff3=0;
diff14=0;
diff15=0;
phi_pts=calloc(loc->nloc, sizeof(double));
phi_loc=calloc(loc->nloc, sizeof(double));
phi_stat=calloc(loc->nloc, sizeof(double));
phi_loc2loc=calloc(loc->nloc, sizeof(double));
map_t *map1=mapnew2(loc->map);
prop_grid_map(screen, map1, -2, displacex, displacey, scale, wrap, 0,0);
tic;
prop_grid_map(screen, map1, 1, displacex, displacey, scale, wrap, 0,0);
toc("map\t\t");
prop_grid_pts(screen, pts, phi_pts, -2, displacex, displacey, scale, wrap, 0,0);
tic;
prop_grid_pts(screen, pts, phi_pts, 1, displacex, displacey, scale, wrap, 0,0);
toc("pts\t\t");
prop_grid_stat(screen, locstat, phi_stat, -2,displacex, displacey, scale, wrap, 0,0);
tic;
prop_grid_stat(screen, locstat, phi_stat , 1, displacex, displacey, scale, wrap, 0,0);
toc("stat\t");tic;
prop_grid(screen, loc, phi_loc, -2,displacex, displacey, scale, wrap, 0,0);
tic;
prop_grid(screen, loc, phi_loc, 1,displacex, displacey, scale, wrap, 0,0);
toc("loc\t\t");
prop_nongrid(locin, screen->p,loc, phi_loc2loc, -2,displacex, displacey, scale,0,0);
toc("nongrid\t"); tic;
prop_nongrid(locin, screen->p,loc, phi_loc2loc, 1,displacex, displacey, scale,0,0);
toc("nongrid\t");
phi_h=calloc(loc->nloc,sizeof(double));
tic;
dsp *hfor=mkh(locin, loc, displacex, displacey, scale);
toc("mkh\t\t\t");
dspmulvec(phi_h,hfor, screen->p, 'n', -2);
tic;
dspmulvec(phi_h,hfor, screen->p, 'n', 1);
toc("mul h\t\t");
phi_cub=calloc(loc->nloc,sizeof(double));
phi_cub2=calloc(loc->nloc,sizeof(double));
double *phi_cub3=calloc(loc->nloc,sizeof(double));
double *phi_cub4=calloc(loc->nloc,sizeof(double));
phi_cubh=calloc(loc->nloc, sizeof(double));
prop_nongrid_cubic(locin,screen->p,loc,phi_cub,-2, displacex, displacey, scale, cubic,0,0);
tic;
prop_nongrid_cubic(locin,screen->p,loc,phi_cub,1, displacex, displacey, scale, cubic,0,0);
toc("nongrid, cubic\t");
prop_grid_cubic(screen, loc, phi_cub2, -2,displacex, displacey, scale, cubic, 0,0);
tic;
prop_grid_cubic(screen, loc, phi_cub2, 1,displacex, displacey, scale, cubic, 0,0);
toc("grid, cubic\t");
prop_grid_cubic(screen2, loc,phi_cub3, -2,displacex, displacey, scale, cubic, 0,0);
tic;
prop_grid_cubic(screen2, loc,phi_cub3, 1,displacex, displacey, scale, cubic, 0,0);
toc("grid2, cubic\t");
prop_grid_stat_cubic(screen, locstat,phi_cub4, -2,displacex, displacey, scale, cubic, 0,0);
tic;
prop_grid_stat_cubic(screen, locstat,phi_cub4, 1,displacex, displacey, scale, cubic, 0,0);
toc("grid 2stat, cubic\t");
dsp *hforcubic;
tic;
hforcubic=mkh_cubic(locin, loc, displacex, displacey, scale, cubic);
toc("mkh cubic \t\t");
dspmulvec(phi_cubh, hforcubic,screen->p,'n',-2);
tic;
dspmulvec(phi_cubh, hforcubic,screen->p,'n',1);
toc("cubic mul h\t\t");
double diffc12=0,diff45=0,diff46=0,diff47=0;
for(ii=0; ii<loc->nloc; ii++){
diff1+=fabs(phi_loc[ii]-phi_pts[ii]);
diff2+=fabs(phi_stat[ii]-phi_loc[ii]);
diff3+=fabs(phi_stat[ii]-phi_pts[ii]);
diff14+=fabs(phi_loc2loc[ii]-phi_pts[ii]);
diff15+=fabs(phi_h[ii]-phi_pts[ii]);
diff45+=fabs(phi_loc2loc[ii]-phi_h[ii]);
diffc12+=fabs(phi_cub[ii]-phi_cubh[ii]);
diff46+=fabs(phi_cub[ii]-phi_cub2[ii]);
diff47+=fabs(phi_cub[ii]-phi_cub3[ii]);
}
info2("(pts-loc)=\t%g\n(loc-stat)=\t%g\n(stat-pts)=\t%g\n"
"(loc2loc-pts)=\t%g\n(h-pts)=\t%g\n"
"(loc2loc-h)=\t%g\n"
"(cub:h-loc2loc)=\t%g\n"
"(cub:map2loc-loc2loc)=\t%g\n"
"(cub:locmap2loc-loc2loc=\t%g\n"
,diff1, diff2,diff3,diff14,diff15,diff45,diffc12,
diff46, diff47);
// exit(0);
if(!save) return;
mapwrite(screen2,"accphi_screen2");
mapwrite(screen,"accphi_screen");
locwrite((loc_t*)pts,"accphi_pts");
locwrite(loc,"accphi_loc");
locwrite(locin, "accphi_locin");
loc_create_map_npad(locin, 0, 0, 0);
mapwrite(locin->map, "accphi_locin_map");
mapwrite(loc->map, "accphi_loc_map");
mapwrite(map1, "accphi_map2map.bin");
writedbl(phi_pts,loc->nloc,1,"accphi_pts1.bin");
writedbl(phi_loc,loc->nloc,1,"accphi_loc0.bin");
writedbl(phi_stat,loc->nloc,1,"accphi_stat.bin");
writedbl(phi_loc2loc,loc->nloc,1,"accphi_loc2loc.bin");
writedbl(phi_h,loc->nloc,1,"accphi_loc2h.bin");
writedbl(phi_cub,loc->nloc,1,"accphi_cub_loc2loc.bin");
writedbl(phi_cub2,loc->nloc,1,"accphi_cub_map2loc.bin");
writedbl(phi_cub3,loc->nloc,1,"accphi_cub_locmap2loc.bin");
writedbl(phi_cub4,loc->nloc,1,"accphi_cub_locmap2stat.bin");
writedbl(phi_cubh,loc->nloc,1,"accphi_cub_loc2h.bin");
info("saved\n");
writedbl(phi_pts,loc->nloc,1,"accphi_pts.bin");
writedbl(phi_cub,loc->nloc,1,"accphi_cub.bin");
writebin(hfor, "accphi_hfor");
writebin(hforcubic, "accphi_cub_hfor");
dspfree(hfor);
dspfree(hforcubic);
free(phi_loc); free(phi_stat);
free(phi_loc2loc);
free(phi_pts);
free(phi_h);
free(phi_cub);
free(phi_cubh);
cellfree(screen);
locfree(locin);
}
/**
Setup the least square reconstruct by directly inverting GA matrix.
The reconstructor is simply the pseudo inverse of GA matrix:
\f[\hat{x}=(G_a^TC_g^{-1}G_a)^{-1}G_a^TC_g^{-1}\f]
This is very close to RR except replacing GX with GA.
We use the tomograhy parameters for lsr, since lsr is simply "tomography" onto DM directly.
*/
void setup_recon_lsr(RECON_T *recon, const PARMS_T *parms){
const int ndm=parms->ndm;
const int nwfs=parms->nwfsr;
cell *GAlsr;
cell *GAM=parms->recon.modal?(cell*)recon->GM:(cell*)recon->GA;
if(parms->recon.split){ //high order wfs only in split mode.
GAlsr=parms->recon.modal?(cell*)recon->GMhi:(cell*)recon->GAhi;
}else{ //all wfs in integrated mode.
GAlsr=GAM;
}
int free_GAlsr=0;
if(GAlsr->p[0]->id!=M_DBL){
dsp *tmp=dsp_cast(GAlsr->p[0]);
if(tmp->nzmax>tmp->nx*tmp->ny*0.2){//not very sparse
dcell *tmp2=0;
free_GAlsr=1;
dcelladd(&tmp2, 1, (dspcell*)GAlsr, 1);
GAlsr=(cell*)tmp2;
}
}
info2("Building recon->LR\n");
recon->LR.M=dcellmm2(GAlsr, recon->saneai, "tn");
// Tip/tilt and diff focus removal low rand terms for LGS WFS.
if(recon->TTF){
dcellmm(&recon->LR.U, recon->LR.M, recon->TTF, "nn", 1);
recon->LR.V=dcelltrans(recon->PTTF);
}
info2("Building recon->LL\n");
recon->LL.M=dcellmm2(recon->LR.M, GAlsr, "nn");
if(free_GAlsr){
cellfree(GAlsr);
}
double maxeig=pow(recon->neamhi * recon->aloc->p[0]->dx, -2);
if(parms->recon.modal){
double strength=1;
for(int idm=0; idm<ndm; idm++){
strength*=dnorm(recon->amod->p[idm]);
}
strength=pow(strength, 2./ndm);
maxeig*=strength;
}
if(fabs(parms->lsr.tikcr)>EPS){
info2("Adding tikhonov constraint of %g to LLM\n", parms->lsr.tikcr);
info2("The maximum eigen value is estimated to be around %g\n", maxeig);
dcelladdI(recon->LL.M, parms->lsr.tikcr*maxeig);
}
dcell *NW=NULL;
if(!parms->recon.modal){
if(parms->lsr.alg!=2){
/* Not SVD, need low rank terms for piston/waffle mode constraint. */
NW=dcellnew(ndm,1);
int nmod=2;/*two modes. */
for(int idm=0; idm<ndm; idm++){
loc_create_map(recon->aloc->p[idm]);
const long nloc=recon->aloc->p[idm]->nloc;
NW->p[idm]=dnew(nloc, ndm*nmod);
double *p=NW->p[idm]->p+nmod*idm*nloc;
const double *cpl=recon->actcpl->p[idm]->p;
for(long iloc=0; iloc<nloc; iloc++){
if(cpl[iloc]>0.1){
p[iloc]=1;/*piston mode */
}
}
/*notice offset of 1 because map start count at 1 */
p=NW->p[idm]->p+(1+nmod*idm)*nloc-1;
map_t *map=recon->aloc->p[idm]->map;
for(long iy=0; iy<map->ny; iy++){
for(long ix=0; ix<map->nx; ix++){
if(IND(map,ix,iy)){
p[(long)IND(map,ix,iy)]=(double)2*((iy+ix)&1)-1;
}
}
}
}
/*scale it to match the magnitude of LL.M */
dcellscale(NW, sqrt(maxeig));
if(parms->save.setup){
writebin(NW, "lsrNW");
}
}
if(parms->lsr.actslave){
/*actuator slaving. important. change from 0.5 to 0.1 on 2011-07-14. */
dspcell *actslave=slaving(recon->aloc, recon->actcpl, NW,
recon->actstuck, recon->actfloat, parms->lsr.actthres, maxeig);
if(parms->save.setup){
if(NW){
writebin(NW, "lsrNW2");
}
writebin(actslave,"actslave");
}
dcelladd(&recon->LL.M, 1, actslave, 1);
cellfree(actslave);
}
}
/*Low rank terms for low order wfs. Only in Integrated tomography. */
dcell *ULo=dcellnew(ndm,nwfs);
dcell *VLo=dcellnew(ndm,nwfs);
dcell* pULo=ULo/*PDELL*/;
dcell* pVLo=VLo/*PDELL*/;
for(int iwfs=0; iwfs<nwfs; iwfs++){
int ipowfs=parms->wfsr[iwfs].powfs;
if(parms->powfs[ipowfs].skip || !parms->powfs[ipowfs].lo){
continue;
}
for(int idm=0; idm<ndm; idm++){
dspfull(PIND(pULo,idm,iwfs), (dsp*)IND(recon->LR.M, idm, iwfs),'n',-1);
dspfull(PIND(pVLo,idm,iwfs), (dsp*)IND(GAM, iwfs, idm),'t',1);
}
}
recon->LL.U=dcellcat(recon->LR.U, ULo, 2);
dcell *GPTTDF=NULL;
dcellmm(&GPTTDF, GAM, recon->LR.V, "tn", 1);
recon->LL.V=dcellcat(GPTTDF, VLo, 2);
dcellfree(GPTTDF);
dcellfree(ULo);
dcellfree(VLo);
if(!parms->recon.modal && NW){
info2("Create piston and check board modes that are in NULL space of GA.\n");
/*add to low rank terms. */
dcell *tmp=recon->LL.U;
recon->LL.U=dcellcat(tmp, NW, 2);
dcellfree(tmp);
dcellscale(NW, -1);
tmp=recon->LL.V;
recon->LL.V=dcellcat(tmp, NW, 2);
dcellfree(tmp);
dcellfree(NW);
}
if(parms->lsr.fnreg){
warning("Loading LSR regularization from file %s.\n", parms->lsr.fnreg);
dspcell *tmp=dspcellread("%s", parms->lsr.fnreg);
dcelladd(&recon->LL.M, 1, tmp, 1);
dspcellfree(tmp);
}
recon->LL.alg = parms->lsr.alg;
recon->LL.bgs = parms->lsr.bgs;
recon->LL.warm = parms->recon.warm_restart;
recon->LL.maxit = parms->lsr.maxit;
/*Remove empty cells. */
dcelldropempty(&recon->LR.U,2);
dcelldropempty(&recon->LR.V,2);
dcelldropempty(&recon->LL.U,2);
dcelldropempty(&recon->LL.V,2);
if(parms->save.recon){
writebin(recon->LR.M,"LRM");
writebin(recon->LR.U,"LRU");
writebin(recon->LR.V,"LRV");
writebin(recon->LL.M,"LLM.bin");/*disable compression */
writebin(recon->LL.U,"LLU");
writebin(recon->LL.V,"LLV");
}
if(parms->lsr.alg==0 || parms->lsr.alg==2){
if(!parms->lsr.bgs){
muv_direct_prep(&recon->LL, (parms->lsr.alg==2)*parms->lsr.svdthres);
if(parms->save.recon){
if(recon->LL.C)
chol_save(recon->LL.C, "LLC.bin");
else
writebin(recon->LL.MI, "LLMI.bin");
}
cellfree(recon->LL.M);
dcellfree(recon->LL.U);
dcellfree(recon->LL.V);
}else{
muv_direct_diag_prep(&(recon->LL), (parms->lsr.alg==2)*parms->lsr.svdthres);
if(parms->save.recon){
for(int ib=0; ib<recon->LL.nb; ib++){
if(recon->LL.CB)
chol_save(recon->LL.CB[ib],"LLCB_%d.bin", ib);
else
writebin(recon->LL.MI,"LLMIB_%d.bin", ib);
}
}
/*Don't free M, U, V */
}
}
}
/**
Returns the transpose of a ztilt gradient operator that converts the OPDs defined
on xloc to subapertures defines on saloc.
*/
dsp * mkzt(loc_t* xloc, double *amp, loc_t *saloc,
int saorc, double scale, double dispx, double dispy)
{
/*compute ztilt influence function from xloc to saloc
saorc: SALOC is subaperture origin or center.
1: origin (lower left corner),
0: center.
*/
long nsa=saloc->nloc;
double dsa=saloc->dx;
double dx1=1./xloc->dx;
double dx2=scale*dx1;
double dy1=1./xloc->dy;
double dy2=scale*dy1;
loc_create_map(xloc);
map_t *map=xloc->map;
dispx=(dispx-map->ox+saorc*dsa*0.5*scale)*dx1;
dispy=(dispy-map->oy+saorc*dsa*0.5*scale)*dy1;
double dsa2=dsa*0.5*dx2;
long nmax=(dsa2*2+2)*(dsa2*2+2);
long *ind=mycalloc(nmax,long);
loc_t *sloc=mycalloc(1,loc_t);
sloc->dx=xloc->dx;
sloc->dy=xloc->dy;
sloc->locx=mycalloc(nmax,double);
sloc->locy=mycalloc(nmax,double);
double *amploc=NULL;
if(amp) amploc=mycalloc(nmax,double);
dsp*zax=dspnew(xloc->nloc,nsa,xloc->nloc);
dsp*zay=dspnew(xloc->nloc,nsa,xloc->nloc);
long xcount=0,ycount=0;
spint *xpp=zax->p;
spint *xpi=zax->i;
double *xpx=zax->x;
spint *ypp=zay->p;
spint *ypi=zay->i;
double *ypx=zay->x;
const double *locx=xloc->locx;
const double *locy=xloc->locy;
double *slocx=sloc->locx;
double *slocy=sloc->locy;
for(int isa=0; isa<nsa; isa++){
/*center of subaperture when mapped onto XLOC*/
double scx=saloc->locx[isa]*dx2+dispx;
double scy=saloc->locy[isa]*dy2+dispy;
int count=0;
/*find points that belongs to this subaperture. */
for(int iy=iceil(scy-dsa2); iy<ifloor(scy+dsa2);iy++){
for(int ix=iceil(scx-dsa2); ix<ifloor(scx+dsa2);ix++){
int ii=loc_map_get(map, ix, iy);
if(ii>0){
ii--;
ind[count]=ii;
slocx[count]=locx[ii];
slocy[count]=locy[ii];
if(amp) amploc[count]=amp[ii];
count++;
}
}
}
/*locwrite(sloc,"sloc_isa%d",isa); */
/*writedbl(amploc,count,1,"amploc_isa%d",isa); */
sloc->nloc=count;
dmat *mcc=loc_mcc_ptt(sloc,amploc);
/*writebin(mcc,"mcc_isa%d",isa); */
dinvspd_inplace(mcc);
/*writebin(mcc,"imcc_isa%d",isa); */
xpp[isa]=xcount;
ypp[isa]=ycount;
for(int ic=0; ic<count; ic++){
double xx=IND(mcc,0,1)+IND(mcc,1,1)*slocx[ic]+IND(mcc,2,1)*slocy[ic];
double yy=IND(mcc,0,2)+IND(mcc,1,2)*slocx[ic]+IND(mcc,2,2)*slocy[ic];
if(amp){
xx*=amploc[ic];
yy*=amploc[ic];
}
xpi[xcount]=ind[ic];
xpx[xcount]=xx;
xcount++;
ypi[ycount]=ind[ic];
ypx[ycount]=yy;
ycount++;
}
dfree(mcc);
}
xpp[nsa]=xcount;
ypp[nsa]=ycount;
locfree(sloc);
free(ind);
dspsetnzmax(zax,xcount);
dspsetnzmax(zay,ycount);
dsp*ZAT=dspcat(zax,zay,1);
dspfree(zax);
dspfree(zay);
if(amp) free(amploc);
return ZAT;
}