| 1 |
FUNCTION FUSK, icasea=icasea |
| 2 |
|
| 3 |
if (n_elements(icasea) eq 0) then icasea=2 |
| 4 |
|
| 5 |
idldir='$JSOCROOT/proj/globalhs/scripts/idl/' |
| 6 |
|
| 7 |
if (icasea le 2) then begin |
| 8 |
iasym=0 |
| 9 |
nm=24 |
| 10 |
paroff=7 |
| 11 |
sigoff=5 |
| 12 |
aoff=12 |
| 13 |
endif else begin |
| 14 |
iasym=1 |
| 15 |
nm=26 |
| 16 |
paroff=8 |
| 17 |
sigoff=6 |
| 18 |
aoff=14 |
| 19 |
end |
| 20 |
|
| 21 |
infile='xxx' |
| 22 |
nin=0l |
| 23 |
outfile='xxx' |
| 24 |
read,infile,prompt='Input file: ' |
| 25 |
;read,nin,prompt='#input: ' |
| 26 |
spawn,'wc -l '+infile,help |
| 27 |
reads,help,nin |
| 28 |
read,outfile,prompt='Output file: ' |
| 29 |
lmax=310 |
| 30 |
qj=dblarr(4,5396) |
| 31 |
openr,1,idldir+'jjj2' |
| 32 |
readf,1,qj |
| 33 |
close,1 |
| 34 |
wj=where(qj(0,*) le lmax,cj) |
| 35 |
qj=qj(*,wj) |
| 36 |
lj=reform(qj(0,*)) |
| 37 |
nj=reform(qj(1,*)) |
| 38 |
fj=reform(qj(2,*)) |
| 39 |
massj=reform(qj(3,*)) |
| 40 |
massa=dblarr(lmax+1,max(nj)+1) |
| 41 |
massa(lj,nj)=massj |
| 42 |
fa=dblarr(lmax+1,max(nj)+1) |
| 43 |
fa(lj,nj)=fj |
| 44 |
w0=where(lj eq 0) |
| 45 |
f0=reform(qj(2,w0)) |
| 46 |
mass0=reform(qj(3,w0)) |
| 47 |
; Set output arrays |
| 48 |
fjx=dblarr(cj) |
| 49 |
aj=dblarr(6,cj) |
| 50 |
ampj=dblarr(cj) |
| 51 |
widthj=dblarr(cj) |
| 52 |
backj=dblarr(cj) |
| 53 |
; |
| 54 |
; Set target modes |
| 55 |
;cout=2173 |
| 56 |
;qout=dblarr(4,cout) |
| 57 |
;openr,1,'freq2a' |
| 58 |
;readf,1,qout |
| 59 |
;close,1 |
| 60 |
; |
| 61 |
; Get input modes |
| 62 |
cin=nin |
| 63 |
qin=dblarr(nm,cin) |
| 64 |
openr,1,infile |
| 65 |
readf,1,qin |
| 66 |
close,1 |
| 67 |
; |
| 68 |
; Use all of Joergens modes |
| 69 |
qout=qj |
| 70 |
; First do the p-modes |
| 71 |
wp=where(qout(1,*) ne 0,cout) |
| 72 |
lout=reform(qout(0,wp)) |
| 73 |
nout=reform(qout(1,wp)) |
| 74 |
fout=fa(lout,nout) |
| 75 |
dfout=reform(qout(2,wp))-fout |
| 76 |
awxout=alog10(fout/(lout+0.5)) |
| 77 |
massout=massa(lout,nout) |
| 78 |
; Find the p-modes in the input |
| 79 |
w=where(qin(1,*) ne 0,np) |
| 80 |
l=reform(qin(0,w)) |
| 81 |
n=reform(qin(1,w)) |
| 82 |
f=fa(l,n) |
| 83 |
sig=reform(qin(2+sigoff,w)) |
| 84 |
df=reform(qin(2,w))-f |
| 85 |
mass=massa(l,n) |
| 86 |
awx=alog10(f/(l+0.5)) |
| 87 |
mx=exp(interpol(alog(mass0),f0,f)) |
| 88 |
mxout=exp(interpol(alog(mass0),f0,fout)) |
| 89 |
qnl=mass/mx |
| 90 |
qnlout=massout/mxout |
| 91 |
dff=df/f |
| 92 |
sigf=sig/f |
| 93 |
dfx=qnl*df/f |
| 94 |
sigx=qnl*sig/f |
| 95 |
|
| 96 |
; Fit model containing: |
| 97 |
; A piecewise linear function in frequency with nf terms |
| 98 |
; A piecewise linear function in log(f/L) |
| 99 |
; A constant for each of n=1,...,nn0 |
| 100 |
; A separate linear term in l for n=1,...,nn1 |
| 101 |
muf=1e-3 |
| 102 |
mua=1d-3 |
| 103 |
nf0=30 |
| 104 |
na0=60 |
| 105 |
nn0=4 |
| 106 |
nn1=4 |
| 107 |
chi=dblarr(21) |
| 108 |
;for ii=0,20 do begin |
| 109 |
;nf0=2+2*ii |
| 110 |
;na=round(2.0^(1.0+ia/2.0)) |
| 111 |
nf=nf0+2 |
| 112 |
na=na0+2 |
| 113 |
nn=nn0+nn1 |
| 114 |
npar=nf+na+nn |
| 115 |
sigmin=0 |
| 116 |
a=dblarr(np,npar) |
| 117 |
aout=dblarr(cout,npar) |
| 118 |
if (nf ne 0) then begin |
| 119 |
sf=sort(f) |
| 120 |
qf=dblarr(np) |
| 121 |
qf(0)=1./(sigx(sf(0))>sigmin)^2 |
| 122 |
for i=1,np-1 do qf(i)=qf(i-1)+1./(sigx(sf(i))>sigmin)^2 |
| 123 |
; fi=interpol(f(sf),qf,min(qf)+(max(qf)-min(qf))*dindgen(nf0)/(nf0-1)) |
| 124 |
fi=min(f)+(max(f)-min(f))*dindgen(nf0)/(nf0-1) |
| 125 |
; for i=0,nfx-1 do begin |
| 126 |
; dfi=fi(1:nf0+i-1)-fi(0:nf0+i-2) |
| 127 |
; sx=sort(-dfi) |
| 128 |
; ix=sx(0) |
| 129 |
; fix=(fi(ix+1)+fi(ix))/2 |
| 130 |
; fi=[fi,fix] |
| 131 |
; fi=fi(sort(fi)) |
| 132 |
; end |
| 133 |
; fi=[min(f)-1000,fi] |
| 134 |
; fi=[fi,max(f)+1000] |
| 135 |
fi=[2*fi(0)-fi(1),fi,2*fi(nf0-1)-fi(nf0-2)] |
| 136 |
for i=0,nf-1 do begin |
| 137 |
fmin=min(f)-1000 |
| 138 |
if (i gt 0) then fmin=fi(i-1) |
| 139 |
fmax=max(f)+1000 |
| 140 |
if (i lt (nf-1)) then fmax=fi(i+1) |
| 141 |
xi=dblarr(nf) |
| 142 |
xi(i)=1.0 |
| 143 |
w=where((f ge fmin-1d-10) and (f le fmax+1d-10),nw) |
| 144 |
; a(*,i)=interpol(xi,fi,f) |
| 145 |
; dfi=(max(f)-min(f))/(nf0-1) |
| 146 |
; a(*,i)=interpolate(xi,(f-min(fi))/dfi,/cubic) |
| 147 |
if (nw ne 0) then a(w,i)=interpol(xi,fi,f(w)) |
| 148 |
w=where((fout ge fmin-1d-10) and (fout le fmax+1d-10)) |
| 149 |
aout(w,i)=interpol(xi,fi,fout(w)) |
| 150 |
end |
| 151 |
end ; if (nf ne 0) |
| 152 |
|
| 153 |
if (na ne 0) then begin |
| 154 |
sa=sort(awx) |
| 155 |
qa=dblarr(np) |
| 156 |
qa(0)=1./(sigx(sa(0))>sigmin)^2 |
| 157 |
for i=1,np-1 do qa(i)=qa(i-1)+1./(sigx(sa(i))>sigmin)^2 |
| 158 |
; ai=interpol(awx(sa),qa,min(qa)+(max(qa)-min(qa))*dindgen(na0)/(na0-1)) |
| 159 |
ai=min(awx)+(max(awx)-min(awx))*dindgen(na0)/(na0-1) |
| 160 |
; for i=0,nax-1 do begin |
| 161 |
; dai=ai(1:na0+i-1)-ai(0:na0+i-2) |
| 162 |
; sx=sort(-dai) |
| 163 |
; ix=sx(0) |
| 164 |
; aix=(ai(ix+1)+ai(ix))/2 |
| 165 |
; ai=[ai,aix] |
| 166 |
; ai=ai(sort(ai)) |
| 167 |
; end |
| 168 |
ai=[min(awx)-1,ai] |
| 169 |
ai=[ai,max(awx)+1] |
| 170 |
for i=0,na-1 do begin |
| 171 |
amin=min(awx)-1 |
| 172 |
if (i gt 0) then amin=ai(i-1) |
| 173 |
amax=max(awx)+1 |
| 174 |
if (i lt (na-1)) then amax=ai(i+1) |
| 175 |
xi=dblarr(na) |
| 176 |
xi(i)=1.0 |
| 177 |
w=where((awx ge amin) and (awx le amax),nw) |
| 178 |
; a(*,i+nf)=interpol(xi,ai,awx) |
| 179 |
if (nw ne 0) then a(w,i+nf)=interpol(xi,ai,awx(w)) |
| 180 |
w=where((awxout ge amin) and (awxout le amax),nw) |
| 181 |
if (nw ne 0) then aout(w,i+nf)=interpol(xi,ai,awxout(w)) |
| 182 |
end |
| 183 |
end |
| 184 |
|
| 185 |
; Constant for each n. Improves fit significantly: |
| 186 |
for in=1,nn0 do begin |
| 187 |
w=where(n eq in,nw) |
| 188 |
if (nw ge 1) then a(w,na+nf+in-1)=1 ; Need at least one point for constant |
| 189 |
end |
| 190 |
for in=1,nn0 do aout(where(nout eq in),na+nf+in-1)=1 |
| 191 |
|
| 192 |
; Something linear in l for each n |
| 193 |
for in=1,nn1 do begin |
| 194 |
w=where(n eq in,nw) |
| 195 |
if (nw ge 2) then begin ; Need at least two points to fit linear. |
| 196 |
lav=total(rebin(l(w),1)) ; Average l |
| 197 |
a(w,na+nf+nn0+in-1)=l(w)-lav |
| 198 |
; a(w,na+nf+nn0+in-1)=1./l(w)^2-1./lav^2 |
| 199 |
endif else begin |
| 200 |
lav=0l |
| 201 |
end |
| 202 |
w=where(nout eq in) |
| 203 |
aout(w,na+nf+nn0+in-1)=lout(w)-lav |
| 204 |
; aout(w,na+nf+nn0+in-1)=1./lout(w)^2-1./lav^2 |
| 205 |
end |
| 206 |
|
| 207 |
;for i=0,npar-1 do a(*,i)=a(*,i)/sqrt(total(a(*,i)^2)) |
| 208 |
ap=a/rebin(reform(sigx,np,1),np,npar) |
| 209 |
y=dfx |
| 210 |
yp=y/sigx |
| 211 |
b=transpose(ap)#ap |
| 212 |
; Add first derivative regularization to nu term |
| 213 |
bfmax=0.0 |
| 214 |
for i=0,nf-1 do bfmax=bfmax>b(i,i) |
| 215 |
b(0,0)=b(0,0)+muf*bfmax |
| 216 |
b(nf-1,nf-1)=b(nf-1,nf-1)+muf*bfmax |
| 217 |
for i=1,nf-2 do b(i,i)=b(i,i)+2*muf*bfmax |
| 218 |
for i=0,nf-2 do b(i,i+1)=b(i,i+1)-muf*bfmax |
| 219 |
for i=0,nf-2 do b(i+1,i)=b(i+1,i)-muf*bfmax |
| 220 |
; Force first frequency correction to 0 to remove degeneracy |
| 221 |
;b(0,0)=1.001*b(0,0) |
| 222 |
b(0,0)=b(0,0)+muf*bfmax |
| 223 |
; Add first derivative regularization to nu/L term |
| 224 |
bamax=0.0 |
| 225 |
for i=nf,nf+na-1 do bamax=bamax>b(i,i) |
| 226 |
b(nf,nf)=b(nf,nf)+mua*bamax |
| 227 |
b(nf+na-1,nf+na-1)=b(nf+na-1,nf+na-1)+mua*bamax |
| 228 |
for i=nf+1,nf+na-2 do b(i,i)=b(i,i)+2*mua*bamax |
| 229 |
for i=nf,nf+na-2 do b(i,i+1)=b(i,i+1)-mua*bamax |
| 230 |
for i=nf,nf+na-2 do b(i+1,i)=b(i+1,i)-mua*bamax |
| 231 |
;b(nf,nf)=b(nf,nf)+mua*bamax |
| 232 |
|
| 233 |
; Take care of case where low ns are missing. |
| 234 |
; Setting diagonal to 1 makes added term zero |
| 235 |
for in=1,nn0 do begin |
| 236 |
w=where(n eq in,nw) |
| 237 |
if (nw lt 1) then b(na+nf+in-1,na+nf+in-1)=1 |
| 238 |
end |
| 239 |
for in=1,nn1 do begin |
| 240 |
w=where(n eq in,nw) |
| 241 |
if (nw lt 2) then b(na+nf+nn0+in-1,na+nf+nn0+in-1)=1 |
| 242 |
end |
| 243 |
|
| 244 |
ib=invert(b) |
| 245 |
c=transpose(ap)#yp |
| 246 |
x=ib#c |
| 247 |
; Extrapolate the correction functions |
| 248 |
x(0)=x(1)-(fi(1)-fi(0))/(fi(2)-fi(1))*(x(2)-x(1)) |
| 249 |
x(nf-1)=x(nf-2)-(fi(nf-2)-fi(nf-1))/(fi(nf-3)-fi(nf-2))*(x(nf-3)-x(nf-2)) |
| 250 |
x(nf+0)=x(nf+1)-(ai(1)-ai(0))/(ai(2)-ai(1))*(x(nf+2)-x(nf+1)) |
| 251 |
x(nf+na-1)=x(nf+na-2)-(ai(na-2)-ai(na-1))/(ai(na-3)-ai(na-2))*(x(nf+na-3)-x(nf+na-2)) |
| 252 |
modelx=a#x |
| 253 |
modelf=modelx/qnl |
| 254 |
model=modelf*f |
| 255 |
moutx=aout#x |
| 256 |
moutf=moutx/qnlout |
| 257 |
mout=moutf*fout |
| 258 |
fjx(wp)=fj(wp)+mout |
| 259 |
print,nf0,nf,na0,na,nn0,nn1,total(rebin((dfx/sigx)^2,1)),total(rebin(((dfx-modelx)/sigx)^2,1)),total(rebin(((dfx-modelx)/sigx)^2,1))/total(rebin((dfx/sigx)^2,1)) |
| 260 |
;chi(ii)=total(rebin(((dfx-modelx)/sigx)^2,1)) |
| 261 |
;plot,f,(dfx-modelx)/sigx,psym=1,yrange=[-50,50] |
| 262 |
;end |
| 263 |
|
| 264 |
; Now do the f modes |
| 265 |
wf=where(qout(1,*) eq 0,cout) |
| 266 |
lout=reform(qout(0,wf)) |
| 267 |
nout=reform(qout(1,wf)) |
| 268 |
fout=fa(lout,nout) |
| 269 |
dfout=reform(qout(2,wf))-fout |
| 270 |
awxout=alog10(fout/(lout+0.5)) |
| 271 |
massout=massa(lout,nout) |
| 272 |
; |
| 273 |
; Find the f-modes in the input |
| 274 |
w=where(qin(1,*) eq 0,nfmode) |
| 275 |
if (nfmode ge 1) then begin |
| 276 |
l=reform(qin(0,w)) |
| 277 |
n=reform(qin(1,w)) |
| 278 |
f=fa(l,n) |
| 279 |
sig=reform(qin(2+sigoff,w)) |
| 280 |
df=reform(qin(2,w))-f |
| 281 |
dfx=df/f |
| 282 |
sigx=sig/f |
| 283 |
; |
| 284 |
npar0=10 |
| 285 |
chi=dblarr(25) |
| 286 |
;or npar0=2,20 do begin |
| 287 |
npar=npar0+1 |
| 288 |
a=dblarr(nfmode,npar) |
| 289 |
li=min(l)+(max(l)-min(l))*dindgen(npar0)/(npar0-1) |
| 290 |
li=[2*li(0)-li(1),li] |
| 291 |
;li=[2*li(0)-li(1),li,2*li(npar-1)-li(npar-2)] |
| 292 |
for i=0,npar-1 do begin |
| 293 |
qmin=min(l)-1000 |
| 294 |
if (i gt 0) then qmin=li(i-1) |
| 295 |
qmax=max(l)+1000 |
| 296 |
if (i lt (npar-1)) then qmax=li(i+1) |
| 297 |
xi=dblarr(npar) |
| 298 |
xi(i)=1.0 |
| 299 |
w=where((l ge qmin) and (l le qmax),nw) |
| 300 |
if (nw ne 0) then a(w,i)=interpol(xi,li,l(w)) |
| 301 |
end |
| 302 |
ap=a/rebin(reform(sigx,nfmode,1),nfmode,npar) |
| 303 |
y=dfx |
| 304 |
yp=y/sigx |
| 305 |
b=transpose(ap)#ap |
| 306 |
|
| 307 |
; Add first derivative regularization to nu term |
| 308 |
bfmax=0.0 |
| 309 |
for i=0,npar-1 do bfmax=bfmax>b(i,i) |
| 310 |
b(0,0)=b(0,0)+muf*bfmax |
| 311 |
b(npar-1,npar-1)=b(npar-1,npar-1)+muf*bfmax |
| 312 |
for i=1,npar-2 do b(i,i)=b(i,i)+2*muf*bfmax |
| 313 |
for i=0,npar-2 do b(i,i+1)=b(i,i+1)-muf*bfmax |
| 314 |
for i=0,npar-2 do b(i+1,i)=b(i+1,i)-muf*bfmax |
| 315 |
|
| 316 |
ib=invert(b) |
| 317 |
c=transpose(ap)#yp |
| 318 |
x=ib#c |
| 319 |
; Extrapolate the correction functions |
| 320 |
;x(0)=x(1)-(fi(1)-fi(0))/(fi(2)-fi(1))*(x(2)-x(1)) |
| 321 |
;x(npar-1)=x(npar-2)-(fi(npar-2)-fi(npar-1))/(fi(npar-3)-fi(npar-2))*(x(npar-3)-x(npar-2)) |
| 322 |
modelx=a#x |
| 323 |
model=model*f |
| 324 |
moutx=interpol(x,li,lout) |
| 325 |
mout=moutx*fout |
| 326 |
print,npar,total(rebin((dfx/sigx)^2,1)),total(rebin(((dfx-modelx)/sigx)^2,1)),total(rebin(((dfx-modelx)/sigx)^2,1))/total(rebin((dfx/sigx)^2,1)) |
| 327 |
chi(npar)=total(rebin(((dfx-modelx)/sigx)^2,1)) |
| 328 |
endif else begin |
| 329 |
mout=0 |
| 330 |
end |
| 331 |
fjx(wf)=fj(wf)+mout |
| 332 |
;end |
| 333 |
; Finally done with the frequencies |
| 334 |
|
| 335 |
; Now it is time for a-coeff |
| 336 |
; First get base values from model |
| 337 |
lout=reform(qout(0,*)) |
| 338 |
nout=reform(qout(1,*)) |
| 339 |
fout=fa(lout,nout) |
| 340 |
awxout=alog10(fout/(lout+0.5)) |
| 341 |
cout=cj |
| 342 |
qa=dblarr(6,4627) |
| 343 |
openr,1,idldir+'1d.split' |
| 344 |
readf,1,qa |
| 345 |
close,1 |
| 346 |
aa=dblarr(3,lmax+1,max(nj)+1)-1000 |
| 347 |
for i=0,4626 do aa(*,qa(0,i),qa(1,i))=qa(3:5,i) |
| 348 |
; Extend to lmax for those ridges for which there are values for l>=280 |
| 349 |
for in=0,max(nout) do begin |
| 350 |
w1=where(aa(0,280:lmax,in) ne -1000,n1)+280 |
| 351 |
w2=where(aa(0,280:lmax,in) eq -1000)+280 |
| 352 |
if (n1 gt 0) then for i=0,2 do aa(i,w2,in)=poly(w2,poly_fit(w1,aa(i,w1,in),1)) |
| 353 |
end |
| 354 |
; Get rid of the -1000's |
| 355 |
aa(where(aa eq -1000))=0 |
| 356 |
aj0=dblarr(6,cj) |
| 357 |
for i=0,cout-1 do aj0([0,2,4],i)=aa(*,lout(i),nout(i)) |
| 358 |
; Get input a-coeff |
| 359 |
ain=qin(aoff:aoff+5,*) |
| 360 |
sain=qin(aoff+6:aoff+11,*) |
| 361 |
; Get base values for input modes |
| 362 |
l=qin(0,*) |
| 363 |
n=qin(1,*) |
| 364 |
f=fa(l,n) |
| 365 |
awx=alog10(f/(l+0.5)) |
| 366 |
ajin=dblarr(6,nin) |
| 367 |
for i=0,nin-1 do ajin([0,2,4],i)=aa(*,l(i),n(i)) |
| 368 |
dain=ain-ajin |
| 369 |
|
| 370 |
; Do the odd a-coeff |
| 371 |
for i=0,4,2 do begin |
| 372 |
; w=where(sain(i,*) ne 0) |
| 373 |
; Now explicitly exclude nonsensical a-coeff. I.e. a_n for n>2l |
| 374 |
w=where((sain(i,*) ne 0) and ((2*l) ge (i+1))) |
| 375 |
di=dain(i,w) |
| 376 |
si=sain(i,w) |
| 377 |
p=polyfitw(awx(w),di,1/si,2) |
| 378 |
chi0=total(sqrt(rebin((di/si)^2,1))) |
| 379 |
chi1=total(sqrt(rebin(((di-poly(awx(w),p))/si)^2,1))) |
| 380 |
print,i,chi0,chi1 |
| 381 |
aj(i,*)=aj0(i,*)+poly(awxout,p) |
| 382 |
; Zero nonsensical a-coeff. I.e. a_n for n>2l |
| 383 |
w=where((2*lout) lt (i+1),nw) |
| 384 |
if (nw gt 0) then aj(i,w)=0 |
| 385 |
end |
| 386 |
; Now do the even a |
| 387 |
mass=massa(l,n) |
| 388 |
mx=exp(interpol(alog(mass0),f0,f)) |
| 389 |
qnl=mass/mx |
| 390 |
massout=massa(lout,nout) |
| 391 |
mxout=exp(interpol(alog(mass0),f0,fout)) |
| 392 |
qnlout=massout/mxout |
| 393 |
for i=1,5,2 do begin |
| 394 |
; w=where(sain(i,*) ne 0) |
| 395 |
; Now explicitly exclude nonsensical a-coeff. I.e. a_n for n>2l |
| 396 |
w=where((sain(i,*) ne 0) and ((2*l) ge (i+1))) |
| 397 |
di=dain(i,w) |
| 398 |
fi=f(w) |
| 399 |
qi=qnl(w) |
| 400 |
si=sain(i,w) |
| 401 |
p=polyfitw(fi,di/qi,qi/si,3) |
| 402 |
chi0=total(sqrt(rebin((di/si)^2,1))) |
| 403 |
chi1=total(sqrt(rebin(((di-qi*poly(fi,p))/si)^2,1))) |
| 404 |
print,i,chi0,chi1 |
| 405 |
aj(i,*)=aj0(i,*)+qnlout*poly(fout,p) |
| 406 |
; Zero nonsensical a-coeff. I.e. a_n for n>2l |
| 407 |
w=where((2*lout) lt (i+1),nw) |
| 408 |
if (nw gt 0) then aj(i,w)=0 |
| 409 |
end |
| 410 |
; Get rid of any outliers |
| 411 |
aj=(aj>(-9000))<9000 |
| 412 |
; |
| 413 |
; Amplitudes |
| 414 |
w=where((qin(0,*) ge 10) and (qin(0,*) le 50),count) |
| 415 |
l=reform(qin(0,w)) |
| 416 |
n=reform(qin(1,w)) |
| 417 |
f=fa(l,n) |
| 418 |
loga=reform(alog(qin(3,w))) |
| 419 |
siga=reform(qin(3+sigoff,w)/qin(3,w)) |
| 420 |
; |
| 421 |
mua=1e-5 |
| 422 |
npar0=15 |
| 423 |
chi=dblarr(25) |
| 424 |
;for npar0=2,20 do begin |
| 425 |
npar=npar0+2 |
| 426 |
a=dblarr(count,npar) |
| 427 |
fi=min(f)+(max(f)-min(f))*dindgen(npar0)/(npar0-1) |
| 428 |
fi=[2*fi(0)-fi(1),fi,2*fi(npar0-1)-fi(npar0-2)] |
| 429 |
for i=0,npar-1 do begin |
| 430 |
qmin=min(f)-1000 |
| 431 |
if (i gt 0) then qmin=fi(i-1) |
| 432 |
qmax=max(f)+1000 |
| 433 |
if (i lt (npar-1)) then qmax=fi(i+1) |
| 434 |
xi=dblarr(npar) |
| 435 |
xi(i)=1.0 |
| 436 |
w=where((f ge qmin) and (f le qmax),cw) |
| 437 |
if (cw ne 0) then a(w,i)=interpol(xi,fi,f(w)) |
| 438 |
end |
| 439 |
ap=a/rebin(reform(siga,count,1),count,npar) |
| 440 |
y=loga |
| 441 |
yp=y/siga |
| 442 |
b=transpose(ap)#ap |
| 443 |
; Add first derivative regularization to nu term |
| 444 |
bfmax=0.0 |
| 445 |
for i=0,npar-1 do bfmax=bfmax>b(i,i) |
| 446 |
b(0,0)=b(0,0)+mua*bfmax |
| 447 |
b(npar-1,npar-1)=b(npar-1,npar-1)+mua*bfmax |
| 448 |
for i=1,npar-2 do b(i,i)=b(i,i)+2*mua*bfmax |
| 449 |
for i=0,npar-2 do b(i,i+1)=b(i,i+1)-mua*bfmax |
| 450 |
for i=0,npar-2 do b(i+1,i)=b(i+1,i)-mua*bfmax |
| 451 |
ib=invert(b) |
| 452 |
c=transpose(ap)#yp |
| 453 |
x=ib#c |
| 454 |
; Extrapolate the correction functions |
| 455 |
x(0)=x(1)-(fi(1)-fi(0))/(fi(2)-fi(1))*(x(2)-x(1)) |
| 456 |
x(npar-1)=x(npar-2)-(fi(npar-2)-fi(npar-1))/(fi(npar-3)-fi(npar-2))*(x(npar-3)-x(npar-2)) |
| 457 |
modelx=a#x |
| 458 |
model=exp(modelx) |
| 459 |
print,npar,total(rebin((loga/siga)^2,1)),total(rebin(((loga-modelx)/siga)^2,1)),total(rebin(((loga-modelx)/siga)^2,1))/total(rebin((loga/siga)^2,1)) |
| 460 |
chi(npar)=total(rebin(((loga-modelx)/siga)^2,1)) |
| 461 |
;end |
| 462 |
l=reform(qin(0,*)) |
| 463 |
n=reform(qin(1,*)) |
| 464 |
f=fa(l,n) |
| 465 |
loga=reform(alog(qin(3,*))) |
| 466 |
siga=reform(qin(3+sigoff,*)/qin(3,*)) |
| 467 |
logai=interpol(x,fi,f) |
| 468 |
da=loga-logai |
| 469 |
dax=poly(l,poly_fit(l,da,3)) |
| 470 |
logaout=interpol(x,fi,fout) |
| 471 |
for in=min(n),max(n) do begin |
| 472 |
w=where(n eq in,c) |
| 473 |
; Get rid of the worst outliers |
| 474 |
w=where((n eq in) and (abs(da-dax) le 0.25),c) |
| 475 |
if (c ne 0) then begin |
| 476 |
w1=where(nout eq in,c1) |
| 477 |
if (c ge 10) then begin |
| 478 |
npol=2 |
| 479 |
; if (in eq 0) then npol=4 |
| 480 |
lav=total(rebin(l(w),1)) |
| 481 |
logaout(w1)=logaout(w1)+poly(lout(w1)-lav,poly_fit(l(w)-lav,da(w),npol)) |
| 482 |
endif else begin |
| 483 |
logaout(w1)=logaout(w1)+total(rebin(da(w),1)) |
| 484 |
end |
| 485 |
end |
| 486 |
end |
| 487 |
ampj=exp(logaout) |
| 488 |
|
| 489 |
; |
| 490 |
; Linewidths |
| 491 |
w=where((qin(0,*) ge 10) and (qin(0,*) le 50),count) |
| 492 |
l=reform(qin(0,w)) |
| 493 |
n=reform(qin(1,w)) |
| 494 |
f=fa(l,n) |
| 495 |
logw=reform(alog(qin(4,w))) |
| 496 |
sigw=reform(qin(4+sigoff,w)/qin(4,w)) |
| 497 |
; |
| 498 |
muw=1e-5 |
| 499 |
npar0=15 |
| 500 |
chi=dblarr(25) |
| 501 |
;for npar0=2,20 do begin |
| 502 |
npar=npar0+2 |
| 503 |
a=dblarr(count,npar) |
| 504 |
fi=min(f)+(max(f)-min(f))*dindgen(npar0)/(npar0-1) |
| 505 |
fi=[2*fi(0)-fi(1),fi,2*fi(npar0-1)-fi(npar0-2)] |
| 506 |
for i=0,npar-1 do begin |
| 507 |
qmin=min(f)-1000 |
| 508 |
if (i gt 0) then qmin=fi(i-1) |
| 509 |
qmax=max(f)+1000 |
| 510 |
if (i lt (npar-1)) then qmax=fi(i+1) |
| 511 |
xi=dblarr(npar) |
| 512 |
xi(i)=1.0 |
| 513 |
w=where((f ge qmin) and (f le qmax),cw) |
| 514 |
if (cw ne 0) then a(w,i)=interpol(xi,fi,f(w)) |
| 515 |
end |
| 516 |
ap=a/rebin(reform(sigw,count,1),count,npar) |
| 517 |
y=logw |
| 518 |
yp=y/sigw |
| 519 |
b=transpose(ap)#ap |
| 520 |
; Add first derivative regularization to nu term |
| 521 |
bfmax=0.0 |
| 522 |
for i=0,npar-1 do bfmax=bfmax>b(i,i) |
| 523 |
b(0,0)=b(0,0)+muw*bfmax |
| 524 |
b(npar-1,npar-1)=b(npar-1,npar-1)+muw*bfmax |
| 525 |
for i=1,npar-2 do b(i,i)=b(i,i)+2*muw*bfmax |
| 526 |
for i=0,npar-2 do b(i,i+1)=b(i,i+1)-muw*bfmax |
| 527 |
for i=0,npar-2 do b(i+1,i)=b(i+1,i)-muw*bfmax |
| 528 |
ib=invert(b) |
| 529 |
c=transpose(ap)#yp |
| 530 |
x=ib#c |
| 531 |
; Extrapolate the correction functions |
| 532 |
x(0)=x(1)-(fi(1)-fi(0))/(fi(2)-fi(1))*(x(2)-x(1)) |
| 533 |
x(npar-1)=x(npar-2)-(fi(npar-2)-fi(npar-1))/(fi(npar-3)-fi(npar-2))*(x(npar-3)-x(npar-2)) |
| 534 |
modelx=a#x |
| 535 |
model=exp(modelx) |
| 536 |
print,npar,total(rebin((logw/sigw)^2,1)),total(rebin(((logw-modelx)/sigw)^2,1)),total(rebin(((logw-modelx)/sigw)^2,1))/total(rebin((logw/sigw)^2,1)) |
| 537 |
chi(npar)=total(rebin(((logw-modelx)/sigw)^2,1)) |
| 538 |
;end |
| 539 |
l=reform(qin(0,*)) |
| 540 |
n=reform(qin(1,*)) |
| 541 |
f=fa(l,n) |
| 542 |
logw=reform(alog(qin(4,*))) |
| 543 |
sigw=reform(qin(4+sigoff,*)/qin(4,*)) |
| 544 |
lav0=total(rebin(l,1)) |
| 545 |
logwi=interpol(x,fi,f) |
| 546 |
dw=logw-logwi |
| 547 |
dwx=poly(l,poly_fit(l,dw,3)) |
| 548 |
logwout=interpol(x,fi,fout) |
| 549 |
for in=min(n),max(n) do begin |
| 550 |
w=where(n eq in,c) |
| 551 |
; Get rid of the worst outliers |
| 552 |
w=where((n eq in) and (abs(dw-dwx) le 0.5),c) |
| 553 |
if (c ne 0) then begin |
| 554 |
w1=where(nout eq in) |
| 555 |
if (c ge 10) then begin |
| 556 |
lav=total(rebin(l(w),1)) |
| 557 |
wcor=poly(lout(w1)-lav,poly_fit(l(w)-lav,dw(w),2)) |
| 558 |
i1=where(lout(w1) ge max(l(w))) |
| 559 |
wcor(i1)=wcor(min(i1)) |
| 560 |
logwout(w1)=logwout(w1)+wcor |
| 561 |
endif else begin |
| 562 |
logwout(w1)=logwout(w1)+total(rebin(dw(w),1)) |
| 563 |
end |
| 564 |
end |
| 565 |
; if (in eq 3) then stop |
| 566 |
end |
| 567 |
widthj=exp(logwout) |
| 568 |
|
| 569 |
; |
| 570 |
; Background |
| 571 |
w=where((qin(0,*) ge 10) and (qin(0,*) le 50),count) |
| 572 |
l=reform(qin(0,w)) |
| 573 |
n=reform(qin(1,w)) |
| 574 |
f=fa(l,n) |
| 575 |
back=reform(qin(5,w)) |
| 576 |
sigb=reform(qin(5+sigoff,w)) |
| 577 |
; |
| 578 |
mub=1e-5 |
| 579 |
npar0=15 |
| 580 |
chi=dblarr(25) |
| 581 |
;for npar0=2,20 do begin |
| 582 |
npar=npar0+2 |
| 583 |
a=dblarr(count,npar) |
| 584 |
fi=min(f)+(max(f)-min(f))*dindgen(npar0)/(npar0-1) |
| 585 |
fi=[2*fi(0)-fi(1),fi,2*fi(npar0-1)-fi(npar0-2)] |
| 586 |
for i=0,npar-1 do begin |
| 587 |
qmin=min(f)-1000 |
| 588 |
if (i gt 0) then qmin=fi(i-1) |
| 589 |
qmax=max(f)+1000 |
| 590 |
if (i lt (npar-1)) then qmax=fi(i+1) |
| 591 |
xi=dblarr(npar) |
| 592 |
xi(i)=1.0 |
| 593 |
w=where((f ge qmin) and (f le qmax),cw) |
| 594 |
if (cw ne 0) then a(w,i)=interpol(xi,fi,f(w)) |
| 595 |
end |
| 596 |
ap=a/rebin(reform(sigb,count,1),count,npar) |
| 597 |
y=back |
| 598 |
yp=y/sigb |
| 599 |
b=transpose(ap)#ap |
| 600 |
; Add first derivative regularization to nu term |
| 601 |
bfmax=0.0 |
| 602 |
for i=0,npar-1 do bfmax=bfmax>b(i,i) |
| 603 |
b(0,0)=b(0,0)+mub*bfmax |
| 604 |
b(npar-1,npar-1)=b(npar-1,npar-1)+mub*bfmax |
| 605 |
for i=1,npar-2 do b(i,i)=b(i,i)+2*mub*bfmax |
| 606 |
for i=0,npar-2 do b(i,i+1)=b(i,i+1)-mub*bfmax |
| 607 |
for i=0,npar-2 do b(i+1,i)=b(i+1,i)-mub*bfmax |
| 608 |
ib=invert(b) |
| 609 |
c=transpose(ap)#yp |
| 610 |
x=ib#c |
| 611 |
; Extrapolate the correction functions |
| 612 |
x(0)=x(1)-(fi(1)-fi(0))/(fi(2)-fi(1))*(x(2)-x(1)) |
| 613 |
x(npar-1)=x(npar-2)-(fi(npar-2)-fi(npar-1))/(fi(npar-3)-fi(npar-2))*(x(npar-3)-x(npar-2)) |
| 614 |
modelx=a#x |
| 615 |
model=exp(modelx) |
| 616 |
print,npar,total(rebin((back/sigb)^2,1)),total(rebin(((back-modelx)/sigb)^2,1)),total(rebin(((back-modelx)/sigb)^2,1))/total(rebin((back/sigb)^2,1)) |
| 617 |
chi(npar)=total(rebin(((back-modelx)/sigb)^2,1)) |
| 618 |
;end |
| 619 |
l=reform(qin(0,*)) |
| 620 |
n=reform(qin(1,*)) |
| 621 |
f=fa(l,n) |
| 622 |
back=reform(qin(5,*)) |
| 623 |
sigb=reform(qin(5+sigoff,*)) |
| 624 |
backi=interpol(x,fi,f) |
| 625 |
db=back-backi |
| 626 |
backout=interpol(x,fi,fout) |
| 627 |
for in=min(n),max(n) do begin |
| 628 |
w=where(n eq in,c) |
| 629 |
if (c ne 0) then begin |
| 630 |
w1=where(nout eq in) |
| 631 |
if (c ge 10) then begin |
| 632 |
lav=total(rebin(l(w),1)) |
| 633 |
backout(w1)=backout(w1)+poly(lout(w1)-lav,poly_fit(l(w)-lav,db(w),2)) |
| 634 |
endif else begin |
| 635 |
backout(w1)=backout(w1)+total(rebin(db(w),1)) |
| 636 |
end |
| 637 |
end |
| 638 |
end |
| 639 |
backj=backout>(-9) |
| 640 |
|
| 641 |
; Do asymmetry |
| 642 |
|
| 643 |
if (iasym ne 0) then begin |
| 644 |
asym=qin(7,*) |
| 645 |
dasym=qin(7+sigoff,*) |
| 646 |
asymj=dblarr(cj) |
| 647 |
; Set asymmetry to something for the high n modes with few input measurements |
| 648 |
w=where(n ge 20) |
| 649 |
asymj=poly(fj,polyfitw(qin(2,w),qin(7,w),1/qin(13,w),2)) |
| 650 |
for nx=0,max(n) do begin |
| 651 |
w=where(n eq nx,c) |
| 652 |
wj=where(nj eq nx) |
| 653 |
if (c ge 5) then begin |
| 654 |
; Fit second order polynomial if enough points |
| 655 |
asymj(wj)=poly(fj(wj),polyfitw(f(w),asym(w),1/dasym(w),2)) |
| 656 |
; Replace with last point outside of ends to avoid unreasonable values |
| 657 |
lx=max(l(w)) |
| 658 |
asymj(wj(where(lj(wj) ge lx)))=asymj(wj(where(lj(wj) eq lx))) |
| 659 |
lx=min(l(w)) |
| 660 |
asymj(wj(where(lj(wj) le lx)))=asymj(wj(where(lj(wj) eq lx))) |
| 661 |
end |
| 662 |
end |
| 663 |
end |
| 664 |
|
| 665 |
;asymj(where((nj eq 0) and (lj ge 150)))=50 |
| 666 |
|
| 667 |
parin=dblarr(12+iasym,cin) |
| 668 |
parin(0,*)=qin(1,*) |
| 669 |
parin(1,*)=qin(0,*) |
| 670 |
parin(2:4,*)=qin(2:4,*) |
| 671 |
parin(11,*)=qin(5,*) |
| 672 |
parin(5:10,*)=qin(aoff:aoff+5,*)/1000 |
| 673 |
if (iasym ne 0) then parin(12,*)=atan(qin(7,*)) |
| 674 |
parmodel=dblarr(12+iasym,cj) |
| 675 |
parmodel(0,*)=nout |
| 676 |
parmodel(1,*)=lout |
| 677 |
parmodel(2,*)=fjx |
| 678 |
parmodel(3,*)=ampj |
| 679 |
parmodel(4,*)=widthj>(1e-4) |
| 680 |
parmodel(5:10,*)=aj/1000 |
| 681 |
parmodel(11,*)=backj |
| 682 |
if (iasym ne 0) then parmodel(12,*)=atan(asymj)<1.57 |
| 683 |
ix=intarr(lmax+1,max(nj)+1) |
| 684 |
for i=0,cj-1 do ix(lout(i),nout(i))=i |
| 685 |
ix1=intarr(cin) |
| 686 |
for i=0,cin-1 do ix1(i)=ix(qin(0,i),qin(1,i)) |
| 687 |
parout=parmodel |
| 688 |
parout(*,ix1)=parin |
| 689 |
;parout(12,where((nj eq 0) and (lj ge 150)))=atan(50.) |
| 690 |
openw,1,outfile |
| 691 |
if (iasym eq 0) then begin |
| 692 |
for i=0,cj-1 do printf,1,parout(*,i),format='(i2,i4,f11.4,99g16.8)' |
| 693 |
endif else begin |
| 694 |
for i=0,cj-1 do printf,1,parout(*,i),format='(i2,i4,f11.4,99g16.8)' |
| 695 |
end |
| 696 |
close,1 |
| 697 |
p=parout |
| 698 |
|
| 699 |
return,p |
| 700 |
|
| 701 |
end |
| 702 |
|
