uves_utils_cpl.c

00001 /*                                                                              *
00002  *   This file is part of the ESO UVES Pipeline                                 *
00003  *   Copyright (C) 2004,2005 European Southern Observatory                      *
00004  *                                                                              *
00005  *   This library is free software; you can redistribute it and/or modify       *
00006  *   it under the terms of the GNU General Public License as published by       *
00007  *   the Free Software Foundation; either version 2 of the License, or          *
00008  *   (at your option) any later version.                                        *
00009  *                                                                              *
00010  *   This program is distributed in the hope that it will be useful,            *
00011  *   but WITHOUT ANY WARRANTY; without even the implied warranty of             *
00012  *   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the              *
00013  *   GNU General Public License for more details.                               *
00014  *                                                                              *
00015  *   You should have received a copy of the GNU General Public License          *
00016  *   along with this program; if not, write to the Free Software                *
00017  *   Foundation, 51 Franklin St, Fifth Floor, Boston, MA  02111-1307  USA       *
00018  *                                                                              */
00019 
00020 /*
00021  * $Author: amodigli $
00022  * $Date: 2012/03/02 16:53:31 $
00023  * $Revision: 1.90 $
00024  * $Name: uves-5_0_0 $
00025  * $Log: uves_utils_cpl.c,v $
00026  * Revision 1.90  2012/03/02 16:53:31  amodigli
00027  * fixed warning related to upgrade to CPL6
00028  *
00029  * Revision 1.89  2011/12/08 13:59:32  amodigli
00030  * Fox warnings with CPL6
00031  *
00032  * Revision 1.88  2010/09/24 09:32:08  amodigli
00033  * put back QFITS dependency to fix problem spot by NRI on FIBER mode (with MIDAS calibs) data
00034  *
00035  * Revision 1.86  2010/02/13 12:22:31  amodigli
00036  * removed inlines (let's do work to compiler)
00037  *
00038  * Revision 1.85  2010/01/07 07:49:17  amodigli
00039  * added some 'check_nomsg' statementsuves_utils.c
00040  *
00041  * Revision 1.84  2008/09/29 07:00:55  amodigli
00042  * add #include <string.h>
00043  *
00044  * Revision 1.83  2007/08/21 13:08:26  jmlarsen
00045  * Removed irplib_access module, largely deprecated by CPL-4
00046  *
00047  * Revision 1.82  2007/06/06 08:17:33  amodigli
00048  * replace tab with 4 spaces
00049  *
00050  * Revision 1.81  2007/04/24 12:50:29  jmlarsen
00051  * Replaced cpl_propertylist -> uves_propertylist which is much faster
00052  *
00053  * Revision 1.80  2007/04/10 07:11:35  jmlarsen
00054  * Added check on input image type
00055  *
00056  * Revision 1.79  2007/03/05 10:20:22  jmlarsen
00057  * Support slope parameter in 1d fitting
00058  *
00059  * Revision 1.78  2007/02/27 14:08:46  jmlarsen
00060  * Extended interface of uves_find_property
00061  *
00062  * Revision 1.77  2007/01/29 12:14:49  jmlarsen
00063  * Added uves_find_property()
00064  *
00065  * Revision 1.76  2007/01/15 08:48:20  jmlarsen
00066  * Exported get_kth function
00067  *
00068  * Revision 1.75  2006/12/07 08:28:18  jmlarsen
00069  * compute median as average of two middle elements
00070  *
00071  * Revision 1.74  2006/11/15 15:02:15  jmlarsen
00072  * Implemented const safe workarounds for CPL functions
00073  *
00074  * Revision 1.72  2006/11/15 14:04:08  jmlarsen
00075  * Removed non-const version of parameterlist_get_first/last/next which is already
00076  * in CPL, added const-safe wrapper, unwrapper and deallocator functions
00077  *
00078  * Revision 1.71  2006/11/06 15:19:42  jmlarsen
00079  * Removed unused include directives
00080  *
00081  * Revision 1.70  2006/09/19 07:17:08  jmlarsen
00082  * Reformatted line
00083  *
00084  * Revision 1.69  2006/09/08 14:06:04  jmlarsen
00085  * Added uves_tools_get_median()
00086  *
00087  * Revision 1.68  2006/08/23 09:33:03  jmlarsen
00088  * Renamed local variables shadowing POSIX reserved names
00089  *
00090  * Revision 1.67  2006/08/18 14:21:03  jmlarsen
00091  * Added code to support CPL3 median filtering
00092  *
00093  * Revision 1.66  2006/08/17 14:11:25  jmlarsen
00094  * Use assure_mem macro to check for memory allocation failure
00095  *
00096  * Revision 1.65  2006/08/17 13:56:53  jmlarsen
00097  * Reduced max line length
00098  *
00099  * Revision 1.64  2006/08/14 12:19:59  jmlarsen
00100  * Removed unused functions
00101  *
00102  * Revision 1.63  2006/08/11 14:56:06  amodigli
00103  * removed Doxygen warnings
00104  *
00105  * Revision 1.62  2006/08/10 10:54:09  jmlarsen
00106  * Removed CX_PI definition
00107  *
00108  * Revision 1.61  2006/08/08 11:27:18  amodigli
00109  * upgrade to CPL3
00110  *
00111  * Revision 1.60  2006/07/03 13:21:41  jmlarsen
00112  * Changed 1d-fit parameter estimation method when only sky needs to be determined
00113  *
00114  * Revision 1.59  2006/06/13 12:02:22  jmlarsen
00115  * Renamed y0 -> y_0
00116  *
00117  * Revision 1.58  2006/06/01 14:43:17  jmlarsen
00118  * Added missing documentation
00119  *
00120  * Revision 1.57  2006/05/12 15:13:04  jmlarsen
00121  * Pass image bpm as extra parameter to fitting routine for efficiency reasons
00122  *
00123  * Revision 1.56  2006/04/24 09:27:48  jmlarsen
00124  * Allow fixing background in gauss. fit
00125  *
00126  * Revision 1.55  2006/03/09 13:54:44  jmlarsen
00127  * Optimization of median computation
00128  *
00129  * Revision 1.54  2006/03/09 10:51:19  jmlarsen
00130  * Changed order of for loops
00131  *
00132  * Revision 1.53  2006/03/03 13:54:11  jmlarsen
00133  * Changed syntax of check macro
00134  *
00135  * Revision 1.52  2006/02/21 14:24:45  jmlarsen
00136  * Parameterized behaviour of median filter near image border
00137  *
00138  * Revision 1.51  2006/01/31 08:25:49  jmlarsen
00139  * Renamed uves_fit_gaussian_2d -> uves_fit_gaussian_2d_image
00140  *
00141  * Revision 1.50  2006/01/25 16:13:20  jmlarsen
00142  * Changed interface of gauss.fitting routine
00143  *
00144  * Revision 1.49  2006/01/12 15:41:14  jmlarsen
00145  * Moved gauss. fitting to irplib
00146  *
00147  * Revision 1.48  2005/12/20 08:11:44  jmlarsen
00148  * Added CVS  entry
00149  *
00150  */
00151 
00152 #ifdef HAVE_CONFIG_H
00153 #  include <config.h>
00154 #endif
00155 #  include <assert.h>
00156 /*----------------------------------------------------------------------------*/
00163 /*----------------------------------------------------------------------------*/
00164 
00167 #include <uves_utils_cpl.h>
00168 
00169 #include <uves_utils.h>
00170 #include <uves_utils_wrappers.h>
00171 #include <uves_dump.h>
00172 #include <uves_error.h>
00173 
00174 #include <cpl.h>
00175 #include <stdbool.h>
00176 #include <string.h>
00177 
00178 static cpl_image *filter_median(const cpl_image *image, int radx, int rady,
00179                 bool extrapolate_border);
00180     
00181 
00182 /*----------------------------------------------------------------------------*/
00194 /*----------------------------------------------------------------------------*/
00195 const cpl_property *
00196 uves_find_property_const(const uves_propertylist *plist, const char *name,
00197                    int number)
00198 {
00199     int i = 0;
00200     int size = uves_propertylist_get_size(plist);
00201 
00202     assure( number >= 0, CPL_ERROR_ILLEGAL_INPUT, "Number (%d) must be non-negative",
00203             number);
00204 
00205     for (i = 0; i < size; i++)
00206     {
00207         const cpl_property *p = uves_propertylist_get_const(plist, i);
00208 
00209         if (strcmp(cpl_property_get_name(p), name) == 0)
00210         {
00211                     if (number == 0)
00212                         {
00213                             return p;
00214                         }
00215                     else
00216                         /* Continue search */
00217                         {
00218                             number--;
00219                         }
00220         }
00221     }
00222 
00223   cleanup:
00224     return NULL;
00225 }
00226 cpl_property *
00227 uves_find_property(uves_propertylist *plist, const char *name,
00228                    int number)
00229 {
00230     return (cpl_property *) uves_find_property_const(plist, name, number);
00231 }
00232 
00233 /*----------------------------------------------------------------------------*/
00245 /*----------------------------------------------------------------------------*/
00246 cpl_error_code
00247 uves_filter_image_average(cpl_image *image, int radius_x, int radius_y)
00248 {
00249     cpl_image *aux = NULL;
00250     double *image_data = NULL;
00251     double *aux_data = NULL;
00252     int nx, ny;
00253     int i;
00254 
00255     /* For bad pixel handling, create a similar auxillary image that counts the bad pixels */
00256     
00257     assure( image != NULL, CPL_ERROR_NULL_INPUT, "Null image");
00258     assure( radius_x >= 0, CPL_ERROR_ILLEGAL_INPUT, "Negative x-radius (%d)", radius_x);
00259     assure( radius_y >= 0, CPL_ERROR_ILLEGAL_INPUT, "Negative y-radius (%d)", radius_y);
00260     assure( cpl_image_get_type(image) == CPL_TYPE_DOUBLE, CPL_ERROR_TYPE_MISMATCH,
00261         "Type is %s. double expected", uves_tostring_cpl_type(cpl_image_get_type(image)));
00262     
00263     nx = cpl_image_get_size_x(image);
00264     ny = cpl_image_get_size_y(image);
00265     image_data = cpl_image_get_data_double(image);
00266     
00267     /* (Disabled:) To avoid problems with overflow (the total flux in the image might
00268        be larger than INT_MAX) subtract a constant (the average flux), apply the filter,
00269        then add the constant       */
00270     
00271     /* First build auxillary image:
00272      *
00273      * aux(x,y) = sum_{i=0,x-1} sum_{j=0,y-1}  image(i,j)
00274      *          = sum of rectangle (0,0)-(x-1,y-1)
00275      *
00276      */
00277 
00278     aux = cpl_image_new(nx+1, ny+1, CPL_TYPE_DOUBLE);          /* Initialized to zero */
00279     aux_data = cpl_image_get_data(aux);
00280 
00281     /* Column x=0 and row y=0 are already zero and need not be calculated,
00282      * start from 1.    */
00283 
00284 /* Slow:    for (x = 1; x < nx+1; x++)
00285             {
00286         for (y = 1; y < ny+1; y++)
00287         {
00288 */
00289     for (i = 0; i < (nx+1)*(ny+1); i++)
00290     {
00291         int x = i % (nx+1);
00292         int y = i / (nx+1);
00293         
00294         if ( x >= 1 && y >= 1)
00295         {
00296             aux_data[x + y*(nx+1)] = image_data[x-1 + (y-1) * nx]
00297             + aux_data  [x-1 +    y * (nx+1)]
00298             + aux_data  [x   + (y-1)* (nx+1)]
00299             - aux_data  [x-1 + (y-1)* (nx+1)];
00300         }
00301         
00302         /* Proof of induction step
00303          * (assume that formula holds up to (x-1,y) and (x,y-1) and prove formula for (x,y))
00304          *
00305          *  aux(x,y) = image(x-1, y-1) + aux(x-1, y) + aux(x, y-1) - aux(x-1, y-1)  (see code)
00306          *
00307          *  = image(x-1, y-1)
00308          *  + sum_{i=0,x-2}_{j=0,y-1} image(i,j)  _
00309          *  + sum_{i=0,x-1}_{j=0,y-2} image(i,j)   \_ sum_{j=0,y-2} image(x-1, j)  
00310          *  - sum_{i=0,x-2}_{j=0,y-2} image(i,j)  _/ 
00311          * 
00312          *  = sum_{i=0,x-2}_{j=0,y-1} image(i,j)
00313          *  + sum_          {j=0,y-1} image(x-1, j)  
00314          *  
00315          *  = sum_{j=0,y-1} [ ( sum_{i=0,x-2} image(i,j) ) + image(x-1,j) ]
00316          *  = sum_{j=0,y-1}     sum_{i=0,x-1} image(i,j)      q.e.d.
00317          *
00318          *  It's simpler when you draw it... 
00319          */
00320     }
00321 
00322     uves_msg_debug("Finished setting up auxillary image. Get average");
00323 
00324     /* Then calculate average = (flux in window) / (image size) */
00325     for (i = 0; i < nx*ny; i++)
00326     {
00327         int x = (i % nx);
00328         int y = (i / nx);
00329 
00330         int lower, upper;
00331         int left, right;
00332         
00333         lower = y - radius_y; if (lower <   0) lower = 0;
00334         upper = y + radius_y; if (upper >= ny) upper = ny - 1;
00335         
00336         left  = x - radius_x; if (left  <   0) left  = 0;
00337         right = x + radius_x; if (right >= nx) right = nx - 1;
00338         
00339         image_data[x + y*nx] =
00340         (
00341             aux_data[(right+1) + (upper+1)*(nx+1)] +
00342             aux_data[ left     +  lower   *(nx+1)] -
00343             aux_data[ left     + (upper+1)*(nx+1)] -
00344             aux_data[(right+1) +  lower   *(nx+1)]
00345             )
00346         /
00347         ( (double) (upper-lower+1) * (right-left+1) );
00348     }
00349     
00350   cleanup:
00351     uves_free_image(&aux);
00352     return cpl_error_get_code();
00353 }
00354 
00355 
00356 /*----------------------------------------------------------------------------*/
00370 /*----------------------------------------------------------------------------*/
00371 cpl_error_code
00372 uves_filter_image_median(cpl_image **image, int xwindow, int ywindow, bool extrapolate_border)
00373 {
00374     cpl_matrix *id = NULL;
00375     cpl_image *temp = NULL;
00376 
00377     assure( xwindow >= 0 && ywindow >= 0, CPL_ERROR_ILLEGAL_INPUT,
00378         "Illegal window radius: %d x %d", 
00379         (2*xwindow + 1),
00380         (2*ywindow + 1));
00381     
00382     UVES_TIME_START("median filter");
00383 
00384     if (xwindow <= 1 && ywindow <= 1)
00385 /* CPL 3 supports   if (xwindow <= 4 && ywindow <= 4) */
00386     {
00387         check(( id = cpl_matrix_new(2*xwindow+1, 2*ywindow+1),
00388             cpl_matrix_fill(id, 1)), "Could not create kernel matrix");
00389         
00390         /* Image to cpl_image_filter_median must be float or double */
00391         if (cpl_image_get_type(*image) == CPL_TYPE_INT)
00392         {
00393             temp = cpl_image_cast(*image, CPL_TYPE_DOUBLE);
00394             uves_free_image(image);
00395         }
00396         else
00397         {
00398             temp = *image;
00399         }
00400         check( *image = uves_image_filter_median(temp, id), "Error applying median filter");
00401 
00402         /* fixme: the CPL function marks border pixels as bad. Do something
00403            depending on the extrapolate_border flag */
00404     }
00405     else
00406     {
00407         temp = *image;
00408         check( *image = filter_median(temp, xwindow, ywindow, extrapolate_border),
00409            "Error applying median filter");
00410         uves_free_image(&temp);
00411     }
00412 
00413     UVES_TIME_END;    
00414     
00415   cleanup:
00416     uves_free_matrix(&id);
00417     uves_free_image(&temp);
00418     return cpl_error_get_code();
00419 }
00420 
00422 #define DOUBLE_SWAP(a,b) { register double t=(a);(a)=(b);(b)=t; }
00423 
00434 double uves_utils_get_kth_double(
00435         double  *   a, 
00436         int         n, 
00437         int         k)
00438 {
00439     register double x ;
00440     register int    i, j, l, m ;
00441 
00442     l=0 ; m=n-1 ;
00443     while (l<m) {
00444         x=a[k] ;
00445         i=l ;
00446         j=m ;
00447         do {
00448             while (a[i]<x) i++ ;
00449             while (x<a[j]) j-- ;
00450             if (i<=j) {
00451                 DOUBLE_SWAP(a[i],a[j]) ;
00452                 i++ ; j-- ;
00453             }
00454         } while (i<=j) ;
00455         if (j<k) l=i ;
00456         if (k<i) m=j ;
00457     }
00458     return a[k] ;
00459 }
00460 
00469 double
00470 uves_tools_get_median(double *a, int n)
00471 {
00472     if (n % 2 == 0)
00473     {
00474         return
00475         (uves_utils_get_kth_double(a, n, n/2) +
00476          uves_utils_get_kth_double(a, n, n/2-1))/2.0;
00477         
00478     }
00479     else
00480     {
00481         return uves_utils_get_kth_double(a, n, (n-1)/2);
00482     }
00483 }
00484 
00485 
00486 
00487 /*----------------------------------------------------------------------------*/
00509 /*----------------------------------------------------------------------------*/
00510 static cpl_image *
00511 filter_median(const cpl_image *image, int radx, int rady, bool extrapolate_border)
00512 {
00513     int x, y;
00514     int nx = cpl_image_get_size_x(image);
00515     int ny = cpl_image_get_size_y(image);
00516     cpl_image *result = cpl_image_new(nx, ny, CPL_TYPE_DOUBLE);
00517     double *result_data;
00518     const double *image_data;
00519     double *window = NULL;
00520 
00521     window = cpl_malloc(sizeof(double) * (2*radx+1)*(2*rady+1));
00522     assure_mem( result );
00523     assure( cpl_image_get_type(image) == CPL_TYPE_DOUBLE,
00524             CPL_ERROR_UNSUPPORTED_MODE, "Type is %s", 
00525             uves_tostring_cpl_type(cpl_image_get_type(image)));
00526 
00527     result_data = cpl_image_get_data_double(result);
00528     image_data = cpl_image_get_data_double_const(image);
00529 
00530     for (y = 1; y <= ny; y++)
00531     {
00532         for (x = 1; x <= nx; x++)
00533         {
00534             int x1, y_1, x2, y2;
00535             
00536             x1 = x - radx; y_1 = y - rady;
00537             x2 = x + radx; y2  = y + rady;
00538 
00539             if (extrapolate_border)
00540             {
00541                 /* At edge of image, move median box, so
00542                    that entire box is inside of image */
00543                 if (x1 < 1)
00544                 {
00545                     x2 += (1 - x1);
00546                     x1 += (1 - x1);
00547                 }
00548                 if (nx < x2)
00549                 {
00550                     x1 -= (x2 - nx);
00551                     x2 -= (x2 - nx);
00552                 }
00553                 
00554                 if (y_1 < 1)
00555                 {
00556                     y2  += (1 - y_1);
00557                     y_1 += (1 - y_1);
00558                 }
00559                 if (ny < y2)
00560                 {
00561                     y_1 -= (y2 - ny);
00562                     y2  -= (y2 - ny);
00563                 }
00564             }
00565             else { /* Rely on the use of min/max below */ }
00566             
00567 #if 0
00568             result_data[(x-1) + (y-1)*nx] = 
00569             cpl_image_get_median_window(image,  
00570                             uves_max_int(1,  x1),
00571                             uves_max_int(1,  y_1),
00572                             uves_min_int(nx, x2),
00573                             uves_min_int(ny, y2));
00574 
00575 #else
00576             /* This saves a few (~10-20) percent execution time */
00577             {
00578             int i, j, k;
00579             
00580             k = 0;
00581             for (j  = uves_max_int(1 , y_1)-1;
00582                  j <= uves_min_int(ny, y2 )-1;
00583                  j++)
00584                 for (i  = uves_max_int(1,  x1)-1; 
00585                  i <= uves_min_int(nx, x2)-1; 
00586                  i++)
00587                 {
00588                     window[k++] = image_data[i + j*nx];
00589                 }
00590             
00591             result_data[(x-1) + (y-1)*nx] = 
00592                 uves_utils_get_kth_double(window,k,(((k)&1)?((k)/2):(((k)/2)-1))) ;
00593             }
00594 #endif        
00595         }
00596     }
00597     
00598 
00599     assure( cpl_error_get_code() == CPL_ERROR_NONE, cpl_error_get_code(), 
00600         "Error calculating %dx%d median filter", radx, rady);
00601     
00602   cleanup:
00603     cpl_free(window);
00604     return result;
00605 }
00606 
00607 
00608 /*----------------------------------------------------------------------------*/
00636 /*----------------------------------------------------------------------------*/
00637 
00638 cpl_error_code
00639 uves_fit_gaussian_2d_image(const cpl_image *image, const cpl_image *noise,
00640                int x1, int y_1,
00641                int x2, int y2,
00642                double *x0, double *y_0, double *sigmax, double *sigmay,
00643                double *amplitude,
00644                double *dx0, double *dy0
00645     )
00646 {
00647     cpl_image  *marginal_x = NULL;
00648     cpl_image  *marginal_y = NULL;
00649     cpl_image  *marginal_x_noise = NULL;
00650     cpl_image  *marginal_y_noise = NULL;
00651     cpl_image  *variance = NULL;
00652     cpl_matrix *covariance = NULL;
00653 
00654     int nx, ny;
00655     double norm_x, norm_y;
00656     double background_x, background_y;
00657 
00658     /* Check input */
00659     assure( image != NULL, CPL_ERROR_NULL_INPUT, "Null image");
00660     nx = cpl_image_get_size_x(image);
00661     ny = cpl_image_get_size_y(image);
00662     assure( noise != NULL || (dx0 == NULL && dy0 == NULL), CPL_ERROR_INCOMPATIBLE_INPUT,
00663         "Cannot compute uncertainty of fit with no noise image specified");
00664     assure( noise == NULL || 
00665         (cpl_image_get_size_x(noise) == nx &&
00666          cpl_image_get_size_y(noise) == ny),
00667         CPL_ERROR_INCOMPATIBLE_INPUT,
00668         "Size of input image (%dx%d) and noise image (%" CPL_SIZE_FORMAT "x%" CPL_SIZE_FORMAT ") differ", 
00669         nx, ny,
00670         cpl_image_get_size_x(noise),
00671         cpl_image_get_size_y(noise));
00672     assure( 1 <= x1 && x1 <= x2 && x2 <= nx &&
00673         1 <= y_1 && y_1 <= y2 && y2 <= ny, CPL_ERROR_ILLEGAL_INPUT,
00674         "Illegal window: (%d, %d)-(%d, %d)", x1, y_1, x2, y2);
00675     assure( x0 != NULL, CPL_ERROR_NULL_INPUT, "Null x-center");
00676     assure( y_0 != NULL, CPL_ERROR_NULL_INPUT, "Null y-center");
00677     assure( sigmax != NULL, CPL_ERROR_NULL_INPUT, "Null sigma_x");
00678     assure( sigmay != NULL, CPL_ERROR_NULL_INPUT, "Null sigma_y");
00679     /* amplitude, dx0, dy0 may be NULL */
00680 
00681     if (noise != NULL)
00682     {
00683         /* Variance = noise^2 */
00684         check(( variance = cpl_image_extract(noise, x1, y_1, x2, y2),
00685             cpl_image_power(variance, 2.0)),
00686            "Error creating variance image");
00687     }
00688     
00689     /* Collapse along columns (result is horizontal) */
00690     check( marginal_x = cpl_image_collapse_window_create(image,
00691                              x1, y_1, x2, y2,
00692                              0),           /* Sum of columns */
00693        "Error collapsing window (%d, %d) - (%d, %d)", x1, y_1, x2, y2);  
00694 
00695     if (noise != NULL)
00696     {
00697         /* Sigma of sum = sqrt [ sum sigma_i^2 ] */
00698         
00699         check( marginal_x_noise = cpl_image_collapse_window_create(variance,
00700                                        1, 1, 
00701                                        x2-x1+1, y2-y_1+1,
00702                                        0), /* Sum of columns */
00703            "Error collapsing window (1, 1) - (%d, %d)", x2-x1+1, y2-y_1+1);
00704 
00705         /* Sqrt */
00706         cpl_image_power(marginal_x_noise, 0.5);
00707     }
00708     
00709     /* Collapse along rows (result is vertical) */
00710     check( marginal_y = cpl_image_collapse_window_create(image,
00711                              x1, y_1, x2, y2,
00712                              1),           /* Sum of rows */
00713        "Error collapsing window (%d, %d) - (%d, %d)", x1, y_1, x2, y2);  
00714     
00715     if (noise != NULL)
00716     {
00717         check( marginal_y_noise = cpl_image_collapse_window_create(variance,
00718                                        1, 1,
00719                                        x2-x1+1, y2-y_1+1,
00720                                        1), /* Sum of rows */
00721            "Error collapsing window (1, 1) - (%d, %d)", x2-x1+1, y2-y_1+1);
00722 
00723         /* Sqrt */
00724         cpl_image_power(marginal_y_noise, 0.5);
00725     }
00726 
00727     /* Fit x-distribution */
00728     uves_fit_1d_image(marginal_x, marginal_x_noise, NULL,
00729               true,                       /* Horizontal ?                  */
00730               false, false,               /* Fix/fit background ?          */
00731               1, x2 - x1 + 1, 1,          /* xlo, xhi, y                   */
00732               x0, sigmax, &norm_x, &background_x, NULL,
00733               NULL, NULL,                 /* mse, red. chi^2               */
00734               (dx0 != NULL) ? &covariance : NULL,
00735               uves_gauss, uves_gauss_derivative, 4);
00736 
00737     /* Set code 'CPL_ERROR_CONTINUE' if fitting failed, check for unexpected errors */
00738     assure( cpl_error_get_code() != CPL_ERROR_CONTINUE ||
00739         cpl_error_get_code() != CPL_ERROR_SINGULAR_MATRIX,
00740         CPL_ERROR_CONTINUE, "Fitting along x failed");
00741     assure( cpl_error_get_code() == CPL_ERROR_NONE, cpl_error_get_code(), 
00742         "Fitting along x failed");
00743      
00744     /* Map to world-coordinates */
00745     *x0 += (x1 - 1);
00746     
00747     if (dx0 != NULL)
00748     {
00749         *dx0 = cpl_matrix_get(covariance, 0, 0);
00750     }
00751 
00752 
00753     /* Fit y-distribution */
00754     uves_free_matrix(&covariance);
00755     uves_fit_1d_image(marginal_y, marginal_y_noise, NULL,
00756               false,                      /* Horizontal ?                  */
00757               false, false,               /* Fix/fit background ?          */
00758               1, y2 - y_1 + 1, 1,          /* ylo, yhi, x                   */
00759               y_0, sigmay, &norm_y, &background_y, NULL,
00760               NULL, NULL,                 /* mse, red. chi^2               */
00761               (dy0 != NULL) ? &covariance : NULL,
00762               uves_gauss, uves_gauss_derivative, 4);
00763     
00764     /* Set code 'CPL_ERROR_CONTINUE' if fitting failed, check for unexpected errors */
00765     assure( cpl_error_get_code() != CPL_ERROR_CONTINUE ||
00766         cpl_error_get_code() != CPL_ERROR_SINGULAR_MATRIX,
00767         CPL_ERROR_CONTINUE, "Fitting along y failed");
00768     assure( cpl_error_get_code() == CPL_ERROR_NONE, cpl_error_get_code(), 
00769         "Fitting along y failed");
00770     
00771     /* Map to world-coordinates */
00772     *y_0 += (y_1 - 1);
00773     
00774     if (dy0 != NULL)
00775     {
00776         *dy0 = cpl_matrix_get(covariance, 0, 0);
00777     }
00778     
00779     /* Set amplitude  = N / [ sqrt(2pi sigmax^2) sqrt(2pi sigmay^2) ].
00780      *
00781      * The fitted norm (area), N, is the same (up to numerical errors) in both directions,
00782      * so use geometric average as an estimate of N.
00783      */
00784     if (amplitude != NULL)
00785     {
00786         *amplitude = sqrt(norm_x * norm_y) / (2*M_PI * (*sigmax) * (*sigmay));
00787     }
00788     
00789   cleanup:
00790     uves_free_matrix(&covariance);
00791     uves_free_image(&variance);
00792     uves_free_image(&marginal_x);
00793     uves_free_image(&marginal_x_noise);
00794     uves_free_image(&marginal_y);
00795     uves_free_image(&marginal_y_noise);
00796     
00797     return cpl_error_get_code();
00798 }
00799 
00800 

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