FUNCTION dustem_fill_ext_dependent_columns,ext,help=help

;+
; NAME:
;    dustem_fill_ext_dependent_columns
;
; PURPOSE:
;    fill up columns of a DustEMWrap EXT that are dependent on I,Q,U and associated (co-)variances
;
; CATEGORY:
;    DustEMWrap, Distributed, High-Level, User-convenience
;
; CALLING SEQUENCE:
;    output=dustem_fill_ext_dependent_columns(ext[,/help])
;
; INPUTS:
;    ext    : a valid DustEMWrap ext
;
; OPTIONAL INPUT PARAMETERS:
;    None
;
; OUTPUTS:
;    None
;
; OPTIONAL OUTPUT PARAMETERS:
;    None
;
; ACCEPTED KEY-WORDS:
;    help      = If set print this help
;
; COMMON BLOCKS:
;    None
;
; SIDE EFFECTS:
;    None
;
; RESTRICTIONS:
;    The DustEMWrap IDL code must be installed
;
; PROCEDURE:
;    None
;
; EXAMPLES
;    filled_ext=dustem_fill_ext_dependent_columns(ext)
;
; MODIFICATION HISTORY:
;    Written by AH Nov-2022
;    Evolution details on the DustEMWrap gitlab.
;    See http://dustemwrap.irap.omp.eu/ for FAQ and help.  
;-


IF keyword_set(help) THEN BEGIN
  doc_library,'dustem_fill_ext_dependent_columns'
  output=0
  goto,the_end
ENDIF

output=ext

polar_iqu2ippsi,ext.ext_I,ext.ext_Q,ext.ext_U,p,psi,p2=p2,/lac
output.ext_smallp=p
output.psi=psi
output.ext_p=la_mul(output.ext_smallp,output.ext_I)

polar_variance_iqu2ippsi,ext.ext_I,ext.ext_Q,ext.ext_U,ext.SIGEXTII,ext.SIGEXTQQ,ext.SIGEXTUU,ext.SIGEXTIQ,ext.SIGEXTIU,ext.SIGEXTQU, $
						variance_smallp,variance_psi,variance_largep,/lac

xx=where(finite(variance_largep) eq 0, nanct)
if nanct gt 0 then variance_largep[xx]=la_undef()
xx=where(finite(variance_smallp) eq 0, nanct)
if nanct gt 0 then variance_smallp[xx]=la_undef()
xx=where(finite(variance_psi) eq 0, nanct)
if nanct gt 0 then variance_psi[xx]=la_undef()

output.SIGEXTp=variance_largep
output.SIGEXTsmallp=variance_smallp
output.SIGEXT_psi=variance_psi

the_end:

RETURN,output
END