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: jmlarsen $
00022  * $Date: 2007/08/21 13:08:26 $
00023  * $Revision: 1.83 $
00024  * $Name: uves-4_2_2 $
00025  * $Log: uves_utils_cpl.c,v $
00026  * Revision 1.83  2007/08/21 13:08:26  jmlarsen
00027  * Removed irplib_access module, largely deprecated by CPL-4
00028  *
00029  * Revision 1.82  2007/06/06 08:17:33  amodigli
00030  * replace tab with 4 spaces
00031  *
00032  * Revision 1.81  2007/04/24 12:50:29  jmlarsen
00033  * Replaced cpl_propertylist -> uves_propertylist which is much faster
00034  *
00035  * Revision 1.80  2007/04/10 07:11:35  jmlarsen
00036  * Added check on input image type
00037  *
00038  * Revision 1.79  2007/03/05 10:20:22  jmlarsen
00039  * Support slope parameter in 1d fitting
00040  *
00041  * Revision 1.78  2007/02/27 14:08:46  jmlarsen
00042  * Extended interface of uves_find_property
00043  *
00044  * Revision 1.77  2007/01/29 12:14:49  jmlarsen
00045  * Added uves_find_property()
00046  *
00047  * Revision 1.76  2007/01/15 08:48:20  jmlarsen
00048  * Exported get_kth function
00049  *
00050  * Revision 1.75  2006/12/07 08:28:18  jmlarsen
00051  * compute median as average of two middle elements
00052  *
00053  * Revision 1.74  2006/11/15 15:02:15  jmlarsen
00054  * Implemented const safe workarounds for CPL functions
00055  *
00056  * Revision 1.72  2006/11/15 14:04:08  jmlarsen
00057  * Removed non-const version of parameterlist_get_first/last/next which is already
00058  * in CPL, added const-safe wrapper, unwrapper and deallocator functions
00059  *
00060  * Revision 1.71  2006/11/06 15:19:42  jmlarsen
00061  * Removed unused include directives
00062  *
00063  * Revision 1.70  2006/09/19 07:17:08  jmlarsen
00064  * Reformatted line
00065  *
00066  * Revision 1.69  2006/09/08 14:06:04  jmlarsen
00067  * Added uves_tools_get_median()
00068  *
00069  * Revision 1.68  2006/08/23 09:33:03  jmlarsen
00070  * Renamed local variables shadowing POSIX reserved names
00071  *
00072  * Revision 1.67  2006/08/18 14:21:03  jmlarsen
00073  * Added code to support CPL3 median filtering
00074  *
00075  * Revision 1.66  2006/08/17 14:11:25  jmlarsen
00076  * Use assure_mem macro to check for memory allocation failure
00077  *
00078  * Revision 1.65  2006/08/17 13:56:53  jmlarsen
00079  * Reduced max line length
00080  *
00081  * Revision 1.64  2006/08/14 12:19:59  jmlarsen
00082  * Removed unused functions
00083  *
00084  * Revision 1.63  2006/08/11 14:56:06  amodigli
00085  * removed Doxygen warnings
00086  *
00087  * Revision 1.62  2006/08/10 10:54:09  jmlarsen
00088  * Removed CX_PI definition
00089  *
00090  * Revision 1.61  2006/08/08 11:27:18  amodigli
00091  * upgrade to CPL3
00092  *
00093  * Revision 1.60  2006/07/03 13:21:41  jmlarsen
00094  * Changed 1d-fit parameter estimation method when only sky needs to be determined
00095  *
00096  * Revision 1.59  2006/06/13 12:02:22  jmlarsen
00097  * Renamed y0 -> y_0
00098  *
00099  * Revision 1.58  2006/06/01 14:43:17  jmlarsen
00100  * Added missing documentation
00101  *
00102  * Revision 1.57  2006/05/12 15:13:04  jmlarsen
00103  * Pass image bpm as extra parameter to fitting routine for efficiency reasons
00104  *
00105  * Revision 1.56  2006/04/24 09:27:48  jmlarsen
00106  * Allow fixing background in gauss. fit
00107  *
00108  * Revision 1.55  2006/03/09 13:54:44  jmlarsen
00109  * Optimization of median computation
00110  *
00111  * Revision 1.54  2006/03/09 10:51:19  jmlarsen
00112  * Changed order of for loops
00113  *
00114  * Revision 1.53  2006/03/03 13:54:11  jmlarsen
00115  * Changed syntax of check macro
00116  *
00117  * Revision 1.52  2006/02/21 14:24:45  jmlarsen
00118  * Parameterized behaviour of median filter near image border
00119  *
00120  * Revision 1.51  2006/01/31 08:25:49  jmlarsen
00121  * Renamed uves_fit_gaussian_2d -> uves_fit_gaussian_2d_image
00122  *
00123  * Revision 1.50  2006/01/25 16:13:20  jmlarsen
00124  * Changed interface of gauss.fitting routine
00125  *
00126  * Revision 1.49  2006/01/12 15:41:14  jmlarsen
00127  * Moved gauss. fitting to irplib
00128  *
00129  * Revision 1.48  2005/12/20 08:11:44  jmlarsen
00130  * Added CVS  entry
00131  *
00132  */
00133 
00134 #ifdef HAVE_CONFIG_H
00135 #  include <config.h>
00136 #endif
00137 #  include <assert.h>
00138 /*----------------------------------------------------------------------------*/
00145 /*----------------------------------------------------------------------------*/
00146 
00149 #include <uves_utils_cpl.h>
00150 
00151 #include <uves_utils.h>
00152 #include <uves_utils_wrappers.h>
00153 #include <uves_dump.h>
00154 #include <uves_error.h>
00155 
00156 #include <cpl.h>
00157 #include <stdbool.h>
00158 
00159 static cpl_image *filter_median(const cpl_image *image, int radx, int rady,
00160                 bool extrapolate_border);
00161     
00162 
00163 /*----------------------------------------------------------------------------*/
00175 /*----------------------------------------------------------------------------*/
00176 const cpl_property *
00177 uves_find_property_const(const uves_propertylist *plist, const char *name,
00178                    int number)
00179 {
00180     int i = 0;
00181     int size = uves_propertylist_get_size(plist);
00182 
00183     assure( number >= 0, CPL_ERROR_ILLEGAL_INPUT, "Number (%d) must be non-negative",
00184             number);
00185 
00186     for (i = 0; i < size; i++)
00187     {
00188         const cpl_property *p = uves_propertylist_get_const(plist, i);
00189 
00190         if (strcmp(cpl_property_get_name(p), name) == 0)
00191         {
00192                     if (number == 0)
00193                         {
00194                             return p;
00195                         }
00196                     else
00197                         /* Continue search */
00198                         {
00199                             number--;
00200                         }
00201         }
00202     }
00203 
00204   cleanup:
00205     return NULL;
00206 }
00207 cpl_property *
00208 uves_find_property(uves_propertylist *plist, const char *name,
00209                    int number)
00210 {
00211     return (cpl_property *) uves_find_property_const(plist, name, number);
00212 }
00213 
00214 /*----------------------------------------------------------------------------*/
00226 /*----------------------------------------------------------------------------*/
00227 cpl_error_code
00228 uves_filter_image_average(cpl_image *image, int radius_x, int radius_y)
00229 {
00230     cpl_image *aux = NULL;
00231     double *image_data = NULL;
00232     double *aux_data = NULL;
00233     int nx, ny;
00234     int i;
00235 
00236     /* For bad pixel handling, create a similar auxillary image that counts the bad pixels */
00237     
00238     assure( image != NULL, CPL_ERROR_NULL_INPUT, "Null image");
00239     assure( radius_x >= 0, CPL_ERROR_ILLEGAL_INPUT, "Negative x-radius (%d)", radius_x);
00240     assure( radius_y >= 0, CPL_ERROR_ILLEGAL_INPUT, "Negative y-radius (%d)", radius_y);
00241     assure( cpl_image_get_type(image) == CPL_TYPE_DOUBLE, CPL_ERROR_TYPE_MISMATCH,
00242         "Type is %s. double expected", uves_tostring_cpl_type(cpl_image_get_type(image)));
00243     
00244     nx = cpl_image_get_size_x(image);
00245     ny = cpl_image_get_size_y(image);
00246     image_data = cpl_image_get_data_double(image);
00247     
00248     /* (Disabled:) To avoid problems with overflow (the total flux in the image might
00249        be larger than INT_MAX) subtract a constant (the average flux), apply the filter,
00250        then add the constant       */
00251     
00252     /* First build auxillary image:
00253      *
00254      * aux(x,y) = sum_{i=0,x-1} sum_{j=0,y-1}  image(i,j)
00255      *          = sum of rectangle (0,0)-(x-1,y-1)
00256      *
00257      */
00258 
00259     aux = cpl_image_new(nx+1, ny+1, CPL_TYPE_DOUBLE);          /* Initialized to zero */
00260     aux_data = cpl_image_get_data(aux);
00261 
00262     /* Column x=0 and row y=0 are already zero and need not be calculated,
00263      * start from 1.    */
00264 
00265 /* Slow:    for (x = 1; x < nx+1; x++)
00266             {
00267         for (y = 1; y < ny+1; y++)
00268         {
00269 */
00270     for (i = 0; i < (nx+1)*(ny+1); i++)
00271     {
00272         int x = i % (nx+1);
00273         int y = i / (nx+1);
00274         
00275         if ( x >= 1 && y >= 1)
00276         {
00277             aux_data[x + y*(nx+1)] = image_data[x-1 + (y-1) * nx]
00278             + aux_data  [x-1 +    y * (nx+1)]
00279             + aux_data  [x   + (y-1)* (nx+1)]
00280             - aux_data  [x-1 + (y-1)* (nx+1)];
00281         }
00282         
00283         /* Proof of induction step
00284          * (assume that formula holds up to (x-1,y) and (x,y-1) and prove formula for (x,y))
00285          *
00286          *  aux(x,y) = image(x-1, y-1) + aux(x-1, y) + aux(x, y-1) - aux(x-1, y-1)  (see code)
00287          *
00288          *  = image(x-1, y-1)
00289          *  + sum_{i=0,x-2}_{j=0,y-1} image(i,j)  _
00290          *  + sum_{i=0,x-1}_{j=0,y-2} image(i,j)   \_ sum_{j=0,y-2} image(x-1, j)  
00291          *  - sum_{i=0,x-2}_{j=0,y-2} image(i,j)  _/ 
00292          * 
00293          *  = sum_{i=0,x-2}_{j=0,y-1} image(i,j)
00294          *  + sum_          {j=0,y-1} image(x-1, j)  
00295          *  
00296          *  = sum_{j=0,y-1} [ ( sum_{i=0,x-2} image(i,j) ) + image(x-1,j) ]
00297          *  = sum_{j=0,y-1}     sum_{i=0,x-1} image(i,j)      q.e.d.
00298          *
00299          *  It's simpler when you draw it... 
00300          */
00301     }
00302 
00303     uves_msg_debug("Finished setting up auxillary image. Get average");
00304 
00305     /* Then calculate average = (flux in window) / (image size) */
00306     for (i = 0; i < nx*ny; i++)
00307     {
00308         int x = (i % nx);
00309         int y = (i / nx);
00310 
00311         int lower, upper;
00312         int left, right;
00313         
00314         lower = y - radius_y; if (lower <   0) lower = 0;
00315         upper = y + radius_y; if (upper >= ny) upper = ny - 1;
00316         
00317         left  = x - radius_x; if (left  <   0) left  = 0;
00318         right = x + radius_x; if (right >= nx) right = nx - 1;
00319         
00320         image_data[x + y*nx] =
00321         (
00322             aux_data[(right+1) + (upper+1)*(nx+1)] +
00323             aux_data[ left     +  lower   *(nx+1)] -
00324             aux_data[ left     + (upper+1)*(nx+1)] -
00325             aux_data[(right+1) +  lower   *(nx+1)]
00326             )
00327         /
00328         ( (double) (upper-lower+1) * (right-left+1) );
00329     }
00330     
00331   cleanup:
00332     uves_free_image(&aux);
00333     return cpl_error_get_code();
00334 }
00335 
00336 
00337 /*----------------------------------------------------------------------------*/
00351 /*----------------------------------------------------------------------------*/
00352 cpl_error_code
00353 uves_filter_image_median(cpl_image **image, int xwindow, int ywindow, bool extrapolate_border)
00354 {
00355     cpl_matrix *id = NULL;
00356     cpl_image *temp = NULL;
00357 
00358     assure( xwindow >= 0 && ywindow >= 0, CPL_ERROR_ILLEGAL_INPUT,
00359         "Illegal window radius: %d x %d", 
00360         (2*xwindow + 1),
00361         (2*ywindow + 1));
00362     
00363     UVES_TIME_START("median filter");
00364 
00365     if (xwindow <= 1 && ywindow <= 1)
00366 /* CPL 3 supports   if (xwindow <= 4 && ywindow <= 4) */
00367     {
00368         check(( id = cpl_matrix_new(2*xwindow+1, 2*ywindow+1),
00369             cpl_matrix_fill(id, 1)), "Could not create kernel matrix");
00370         
00371         /* Image to cpl_image_filter_median must be float or double */
00372         if (cpl_image_get_type(*image) == CPL_TYPE_INT)
00373         {
00374             temp = cpl_image_cast(*image, CPL_TYPE_DOUBLE);
00375             uves_free_image(image);
00376         }
00377         else
00378         {
00379             temp = *image;
00380         }
00381         check( *image = cpl_image_filter_median(temp, id), "Error applying median filter");
00382 
00383         /* fixme: the CPL function marks border pixels as bad. Do something
00384            depending on the extrapolate_border flag */
00385     }
00386     else
00387     {
00388         temp = *image;
00389         check( *image = filter_median(temp, xwindow, ywindow, extrapolate_border),
00390            "Error applying median filter");
00391         uves_free_image(&temp);
00392     }
00393 
00394     UVES_TIME_END;    
00395     
00396   cleanup:
00397     uves_free_matrix(&id);
00398     uves_free_image(&temp);
00399     return cpl_error_get_code();
00400 }
00401 
00403 #define DOUBLE_SWAP(a,b) { register double t=(a);(a)=(b);(b)=t; }
00404 
00415 inline
00416 double uves_utils_get_kth_double(
00417         double  *   a, 
00418         int         n, 
00419         int         k)
00420 {
00421     register double x ;
00422     register int    i, j, l, m ;
00423 
00424     l=0 ; m=n-1 ;
00425     while (l<m) {
00426         x=a[k] ;
00427         i=l ;
00428         j=m ;
00429         do {
00430             while (a[i]<x) i++ ;
00431             while (x<a[j]) j-- ;
00432             if (i<=j) {
00433                 DOUBLE_SWAP(a[i],a[j]) ;
00434                 i++ ; j-- ;
00435             }
00436         } while (i<=j) ;
00437         if (j<k) l=i ;
00438         if (k<i) m=j ;
00439     }
00440     return a[k] ;
00441 }
00442 
00451 inline double
00452 uves_tools_get_median(double *a, int n)
00453 {
00454     if (n % 2 == 0)
00455     {
00456         return
00457         (uves_utils_get_kth_double(a, n, n/2) +
00458          uves_utils_get_kth_double(a, n, n/2-1))/2.0;
00459         
00460     }
00461     else
00462     {
00463         return uves_utils_get_kth_double(a, n, (n-1)/2);
00464     }
00465 }
00466 
00467 
00468 
00469 /*----------------------------------------------------------------------------*/
00491 /*----------------------------------------------------------------------------*/
00492 static cpl_image *
00493 filter_median(const cpl_image *image, int radx, int rady, bool extrapolate_border)
00494 {
00495     int x, y;
00496     int nx = cpl_image_get_size_x(image);
00497     int ny = cpl_image_get_size_y(image);
00498     cpl_image *result = cpl_image_new(nx, ny, CPL_TYPE_DOUBLE);
00499     double *result_data;
00500     const double *image_data;
00501     double *window = NULL;
00502 
00503     window = cpl_malloc(sizeof(double) * (2*radx+1)*(2*rady+1));
00504     assure_mem( result );
00505     assure( cpl_image_get_type(image) == CPL_TYPE_DOUBLE,
00506             CPL_ERROR_UNSUPPORTED_MODE, "Type is %s", 
00507             uves_tostring_cpl_type(cpl_image_get_type(image)));
00508 
00509     result_data = cpl_image_get_data_double(result);
00510     image_data = cpl_image_get_data_double_const(image);
00511 
00512     for (y = 1; y <= ny; y++)
00513     {
00514         for (x = 1; x <= nx; x++)
00515         {
00516             int x1, y_1, x2, y2;
00517             
00518             x1 = x - radx; y_1 = y - rady;
00519             x2 = x + radx; y2  = y + rady;
00520 
00521             if (extrapolate_border)
00522             {
00523                 /* At edge of image, move median box, so
00524                    that entire box is inside of image */
00525                 if (x1 < 1)
00526                 {
00527                     x2 += (1 - x1);
00528                     x1 += (1 - x1);
00529                 }
00530                 if (nx < x2)
00531                 {
00532                     x1 -= (x2 - nx);
00533                     x2 -= (x2 - nx);
00534                 }
00535                 
00536                 if (y_1 < 1)
00537                 {
00538                     y2  += (1 - y_1);
00539                     y_1 += (1 - y_1);
00540                 }
00541                 if (ny < y2)
00542                 {
00543                     y_1 -= (y2 - ny);
00544                     y2  -= (y2 - ny);
00545                 }
00546             }
00547             else { /* Rely on the use of min/max below */ }
00548             
00549 #if 0
00550             result_data[(x-1) + (y-1)*nx] = 
00551             cpl_image_get_median_window(image,  
00552                             uves_max_int(1,  x1),
00553                             uves_max_int(1,  y_1),
00554                             uves_min_int(nx, x2),
00555                             uves_min_int(ny, y2));
00556 
00557 #else
00558             /* This saves a few (~10-20) percent execution time */
00559             {
00560             int i, j, k;
00561             
00562             k = 0;
00563             for (j  = uves_max_int(1 , y_1)-1;
00564                  j <= uves_min_int(ny, y2 )-1;
00565                  j++)
00566                 for (i  = uves_max_int(1,  x1)-1; 
00567                  i <= uves_min_int(nx, x2)-1; 
00568                  i++)
00569                 {
00570                     window[k++] = image_data[i + j*nx];
00571                 }
00572             
00573             result_data[(x-1) + (y-1)*nx] = 
00574                 uves_utils_get_kth_double(window,k,(((k)&1)?((k)/2):(((k)/2)-1))) ;
00575             }
00576 #endif        
00577         }
00578     }
00579     
00580 
00581     assure( cpl_error_get_code() == CPL_ERROR_NONE, cpl_error_get_code(), 
00582         "Error calculating %dx%d median filter", radx, rady);
00583     
00584   cleanup:
00585     cpl_free(window);
00586     return result;
00587 }
00588 
00589 
00590 /*----------------------------------------------------------------------------*/
00618 /*----------------------------------------------------------------------------*/
00619 
00620 cpl_error_code
00621 uves_fit_gaussian_2d_image(const cpl_image *image, const cpl_image *noise,
00622                int x1, int y_1,
00623                int x2, int y2,
00624                double *x0, double *y_0, double *sigmax, double *sigmay,
00625                double *amplitude,
00626                double *dx0, double *dy0
00627     )
00628 {
00629     cpl_image  *marginal_x = NULL;
00630     cpl_image  *marginal_y = NULL;
00631     cpl_image  *marginal_x_noise = NULL;
00632     cpl_image  *marginal_y_noise = NULL;
00633     cpl_image  *variance = NULL;
00634     cpl_matrix *covariance = NULL;
00635 
00636     int nx, ny;
00637     double norm_x, norm_y;
00638     double background_x, background_y;
00639 
00640     /* Check input */
00641     assure( image != NULL, CPL_ERROR_NULL_INPUT, "Null image");
00642     nx = cpl_image_get_size_x(image);
00643     ny = cpl_image_get_size_y(image);
00644     assure( noise != NULL || (dx0 == NULL && dy0 == NULL), CPL_ERROR_INCOMPATIBLE_INPUT,
00645         "Cannot compute uncertainty of fit with no noise image specified");
00646     assure( noise == NULL || 
00647         (cpl_image_get_size_x(noise) == nx &&
00648          cpl_image_get_size_y(noise) == ny),
00649         CPL_ERROR_INCOMPATIBLE_INPUT,
00650         "Size of input image (%dx%d) and noise image (%dx%d) differ", 
00651         nx, ny,
00652         cpl_image_get_size_x(noise),
00653         cpl_image_get_size_y(noise));
00654     assure( 1 <= x1 && x1 <= x2 && x2 <= nx &&
00655         1 <= y_1 && y_1 <= y2 && y2 <= ny, CPL_ERROR_ILLEGAL_INPUT,
00656         "Illegal window: (%d, %d)-(%d, %d)", x1, y_1, x2, y2);
00657     assure( x0 != NULL, CPL_ERROR_NULL_INPUT, "Null x-center");
00658     assure( y_0 != NULL, CPL_ERROR_NULL_INPUT, "Null y-center");
00659     assure( sigmax != NULL, CPL_ERROR_NULL_INPUT, "Null sigma_x");
00660     assure( sigmay != NULL, CPL_ERROR_NULL_INPUT, "Null sigma_y");
00661     /* amplitude, dx0, dy0 may be NULL */
00662 
00663     if (noise != NULL)
00664     {
00665         /* Variance = noise^2 */
00666         check(( variance = cpl_image_extract(noise, x1, y_1, x2, y2),
00667             cpl_image_power(variance, 2.0)),
00668            "Error creating variance image");
00669     }
00670     
00671     /* Collapse along columns (result is horizontal) */
00672     check( marginal_x = cpl_image_collapse_window_create(image,
00673                              x1, y_1, x2, y2,
00674                              0),           /* Sum of columns */
00675        "Error collapsing window (%d, %d) - (%d, %d)", x1, y_1, x2, y2);  
00676 
00677     if (noise != NULL)
00678     {
00679         /* Sigma of sum = sqrt [ sum sigma_i^2 ] */
00680         
00681         check( marginal_x_noise = cpl_image_collapse_window_create(variance,
00682                                        1, 1, 
00683                                        x2-x1+1, y2-y_1+1,
00684                                        0), /* Sum of columns */
00685            "Error collapsing window (1, 1) - (%d, %d)", x2-x1+1, y2-y_1+1);
00686 
00687         /* Sqrt */
00688         cpl_image_power(marginal_x_noise, 0.5);
00689     }
00690     
00691     /* Collapse along rows (result is vertical) */
00692     check( marginal_y = cpl_image_collapse_window_create(image,
00693                              x1, y_1, x2, y2,
00694                              1),           /* Sum of rows */
00695        "Error collapsing window (%d, %d) - (%d, %d)", x1, y_1, x2, y2);  
00696     
00697     if (noise != NULL)
00698     {
00699         check( marginal_y_noise = cpl_image_collapse_window_create(variance,
00700                                        1, 1,
00701                                        x2-x1+1, y2-y_1+1,
00702                                        1), /* Sum of rows */
00703            "Error collapsing window (1, 1) - (%d, %d)", x2-x1+1, y2-y_1+1);
00704 
00705         /* Sqrt */
00706         cpl_image_power(marginal_y_noise, 0.5);
00707     }
00708 
00709     /* Fit x-distribution */
00710     uves_fit_1d_image(marginal_x, marginal_x_noise, NULL,
00711               true,                       /* Horizontal ?                  */
00712               false, false,               /* Fix/fit background ?          */
00713               1, x2 - x1 + 1, 1,          /* xlo, xhi, y                   */
00714               x0, sigmax, &norm_x, &background_x, NULL,
00715               NULL, NULL,                 /* mse, red. chi^2               */
00716               (dx0 != NULL) ? &covariance : NULL,
00717               uves_gauss, uves_gauss_derivative, 4);
00718 
00719     /* Set code 'CPL_ERROR_CONTINUE' if fitting failed, check for unexpected errors */
00720     assure( cpl_error_get_code() != CPL_ERROR_CONTINUE ||
00721         cpl_error_get_code() != CPL_ERROR_SINGULAR_MATRIX,
00722         CPL_ERROR_CONTINUE, "Fitting along x failed");
00723     assure( cpl_error_get_code() == CPL_ERROR_NONE, cpl_error_get_code(), 
00724         "Fitting along x failed");
00725      
00726     /* Map to world-coordinates */
00727     *x0 += (x1 - 1);
00728     
00729     if (dx0 != NULL)
00730     {
00731         *dx0 = cpl_matrix_get(covariance, 0, 0);
00732     }
00733 
00734 
00735     /* Fit y-distribution */
00736     uves_free_matrix(&covariance);
00737     uves_fit_1d_image(marginal_y, marginal_y_noise, NULL,
00738               false,                      /* Horizontal ?                  */
00739               false, false,               /* Fix/fit background ?          */
00740               1, y2 - y_1 + 1, 1,          /* ylo, yhi, x                   */
00741               y_0, sigmay, &norm_y, &background_y, NULL,
00742               NULL, NULL,                 /* mse, red. chi^2               */
00743               (dy0 != NULL) ? &covariance : NULL,
00744               uves_gauss, uves_gauss_derivative, 4);
00745     
00746     /* Set code 'CPL_ERROR_CONTINUE' if fitting failed, check for unexpected errors */
00747     assure( cpl_error_get_code() != CPL_ERROR_CONTINUE ||
00748         cpl_error_get_code() != CPL_ERROR_SINGULAR_MATRIX,
00749         CPL_ERROR_CONTINUE, "Fitting along y failed");
00750     assure( cpl_error_get_code() == CPL_ERROR_NONE, cpl_error_get_code(), 
00751         "Fitting along y failed");
00752     
00753     /* Map to world-coordinates */
00754     *y_0 += (y_1 - 1);
00755     
00756     if (dy0 != NULL)
00757     {
00758         *dy0 = cpl_matrix_get(covariance, 0, 0);
00759     }
00760     
00761     /* Set amplitude  = N / [ sqrt(2pi sigmax^2) sqrt(2pi sigmay^2) ].
00762      *
00763      * The fitted norm (area), N, is the same (up to numerical errors) in both directions,
00764      * so use geometric average as an estimate of N.
00765      */
00766     if (amplitude != NULL)
00767     {
00768         *amplitude = sqrt(norm_x * norm_y) / (2*M_PI * (*sigmax) * (*sigmay));
00769     }
00770     
00771   cleanup:
00772     uves_free_matrix(&covariance);
00773     uves_free_image(&variance);
00774     uves_free_image(&marginal_x);
00775     uves_free_image(&marginal_x_noise);
00776     uves_free_image(&marginal_y);
00777     uves_free_image(&marginal_y_noise);
00778     
00779     return cpl_error_get_code();
00780 }
00781 
00782 

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