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/*===========================================================================
Copyright (C) 2001 European Southern Observatory (ESO)
This program is free software; you can redistribute it and/or
modify it under the terms of the GNU General Public License as
published by the Free Software Foundation; either version 2 of
the License, or (at your option) any later version.
This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public
License along with this program; if not, write to the Free
Software Foundation, Inc., 675 Massachusetss Ave, Cambridge,
MA 02139, USA.
Corresponding concerning ESO-MIDAS should be addressed as follows:
Internet e-mail: midas@eso.org
Postal address: European Southern Observatory
Data Management Division
Karl-Schwarzschild-Strasse 2
D 85748 Garching bei Muenchen
GERMANY
===========================================================================*/
/*-------------------------------------------------------------------------*/
/**
* @defgroup flames_dointerpolate
*
*/
#ifdef HAVE_CONFIG_H
# include <config.h>
#endif
#include <stdlib.h>
#include <string.h>
#include <stdio.h>
#include <math.h>
#include <flames_midas_def.h>
#include <flames_dointerpolate.h>
#include <flames_newmatrix.h>
#include <flames_shiftcommon.h>
#include <flames_shiftall.h>
/**@{*/
/*---------------------------------------------------------------------------
Implementation
---------------------------------------------------------------------------*/
/**
@name flames_dointerpolate()
@short
@author G. Mulas - ITAL_FLAMES Consortium. Ported to CPL by A. Modigliani
@param allflatsout
@param fitdata
@param iorder
@param iframe
@param ifibre
@param ix
@param iy
@return 0 if success
DRS Functions called: none
Pseudocode:
Initialize an order table
@note
*/
flames_err
dointerpolate(allflats *allflatsout,
fitstruct *fitdata,
int32_t iorder,
int32_t iframe,
int32_t ifibre,
int32_t ix,
int32_t iy)
{
int32_t i=0;
double a11=0, a12=0, a22=0, b1=0, b2=0, deta=0;
frame_data pixelavervalue=0, pixelaversigma=0;
frame_data pixelintervalue=0, pixelintersigma=0;
frame_data deviation=0;
double dbuf1=0, dbuf2=0;
frame_data *fdvecbuf1=0;
frame_data *fdvecbuf2=0;
frame_mask *fmvecbuf1=0;
int32_t iyixindex=0;
fdvecbuf1 = allflatsout->flatdata[iframe].data[0];
fdvecbuf2 = allflatsout->flatdata[iframe].sigma[0];
fmvecbuf1 = allflatsout->flatdata[iframe].badpixel[0];
iyixindex = (iy*allflatsout->subcols)+ix;
/* was I able to find anything? */
if (fitdata->availpixels == 0) {
/* no way, mark this as a bad pixel */
fmvecbuf1[iyixindex] = 1;
}
/* did I find only one pixel? */
else if (fitdata->availpixels==1) {
/* just use that "better than nothing" single value I have */
fmvecbuf1[iyixindex] = 0;
fdvecbuf1[iyixindex] = (frame_data)(fitdata->value)[0];
fdvecbuf2[iyixindex] = (frame_data)(fitdata->sigma)[0];
}
else {
/* compute all the coefficients for linear interpolation */
a11 = a12 = a22 = b1 = b2 = 0;
for (i=0; i<=fitdata->availpixels-1; i++){
dbuf1 = 1/fitdata->sigma[i];
dbuf2 = fitdata->offset[i]*dbuf1;
a12 += dbuf2;
a11 += fitdata->offset[i]*dbuf2;
a22 += dbuf1;
b2 += (fitdata->value)[i]*dbuf1;
b1 += (fitdata->value)[i]*dbuf2;
}
/* compute the determinant */
deta = a11*a22-a12*a12;
fmvecbuf1[iyixindex] = 0;
/* compute anyway the simple weighted average */
pixelavervalue = (frame_data)(b2/a22);
pixelaversigma = (frame_data)(1/a22);
if (deta <= DEPSILON) {
/* just use the average */
fdvecbuf1[iyixindex] = pixelavervalue;
fdvecbuf2[iyixindex] = pixelaversigma;
}
else {
/* try to interpolate */
pixelintervalue = (frame_data)((b2*a11-b1*a12)/deta);
pixelintersigma = (frame_data)(a11/deta);
/* is the interpolation sensible? */
deviation = pixelintervalue-pixelavervalue;
if ((pixelintersigma > (9*pixelaversigma)) ||
((deviation*deviation)>3*(pixelintersigma+pixelaversigma))) {
/* probably numerical instability, fall back to the simple average */
fdvecbuf1[iyixindex] = pixelavervalue;
fdvecbuf2[iyixindex] = pixelaversigma;
}
else {
/* yes, it is indeed sensible, use it */
fdvecbuf1[iyixindex] = pixelintervalue;
fdvecbuf2[iyixindex] = pixelintersigma;
}
}
}
return NOERR;
}
/**@}*/
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