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: 2010/09/24 09:32:08 $
00023  * $Revision: 1.88 $
00024  * $Name: uves-4_9_1 $
00025  * $Log: uves_utils_cpl.c,v $
00026  * Revision 1.88  2010/09/24 09:32:08  amodigli
00027  * put back QFITS dependency to fix problem spot by NRI on FIBER mode (with MIDAS calibs) data
00028  *
00029  * Revision 1.86  2010/02/13 12:22:31  amodigli
00030  * removed inlines (let's do work to compiler)
00031  *
00032  * Revision 1.85  2010/01/07 07:49:17  amodigli
00033  * added some 'check_nomsg' statementsuves_utils.c
00034  *
00035  * Revision 1.84  2008/09/29 07:00:55  amodigli
00036  * add #include <string.h>
00037  *
00038  * Revision 1.83  2007/08/21 13:08:26  jmlarsen
00039  * Removed irplib_access module, largely deprecated by CPL-4
00040  *
00041  * Revision 1.82  2007/06/06 08:17:33  amodigli
00042  * replace tab with 4 spaces
00043  *
00044  * Revision 1.81  2007/04/24 12:50:29  jmlarsen
00045  * Replaced cpl_propertylist -> uves_propertylist which is much faster
00046  *
00047  * Revision 1.80  2007/04/10 07:11:35  jmlarsen
00048  * Added check on input image type
00049  *
00050  * Revision 1.79  2007/03/05 10:20:22  jmlarsen
00051  * Support slope parameter in 1d fitting
00052  *
00053  * Revision 1.78  2007/02/27 14:08:46  jmlarsen
00054  * Extended interface of uves_find_property
00055  *
00056  * Revision 1.77  2007/01/29 12:14:49  jmlarsen
00057  * Added uves_find_property()
00058  *
00059  * Revision 1.76  2007/01/15 08:48:20  jmlarsen
00060  * Exported get_kth function
00061  *
00062  * Revision 1.75  2006/12/07 08:28:18  jmlarsen
00063  * compute median as average of two middle elements
00064  *
00065  * Revision 1.74  2006/11/15 15:02:15  jmlarsen
00066  * Implemented const safe workarounds for CPL functions
00067  *
00068  * Revision 1.72  2006/11/15 14:04:08  jmlarsen
00069  * Removed non-const version of parameterlist_get_first/last/next which is already
00070  * in CPL, added const-safe wrapper, unwrapper and deallocator functions
00071  *
00072  * Revision 1.71  2006/11/06 15:19:42  jmlarsen
00073  * Removed unused include directives
00074  *
00075  * Revision 1.70  2006/09/19 07:17:08  jmlarsen
00076  * Reformatted line
00077  *
00078  * Revision 1.69  2006/09/08 14:06:04  jmlarsen
00079  * Added uves_tools_get_median()
00080  *
00081  * Revision 1.68  2006/08/23 09:33:03  jmlarsen
00082  * Renamed local variables shadowing POSIX reserved names
00083  *
00084  * Revision 1.67  2006/08/18 14:21:03  jmlarsen
00085  * Added code to support CPL3 median filtering
00086  *
00087  * Revision 1.66  2006/08/17 14:11:25  jmlarsen
00088  * Use assure_mem macro to check for memory allocation failure
00089  *
00090  * Revision 1.65  2006/08/17 13:56:53  jmlarsen
00091  * Reduced max line length
00092  *
00093  * Revision 1.64  2006/08/14 12:19:59  jmlarsen
00094  * Removed unused functions
00095  *
00096  * Revision 1.63  2006/08/11 14:56:06  amodigli
00097  * removed Doxygen warnings
00098  *
00099  * Revision 1.62  2006/08/10 10:54:09  jmlarsen
00100  * Removed CX_PI definition
00101  *
00102  * Revision 1.61  2006/08/08 11:27:18  amodigli
00103  * upgrade to CPL3
00104  *
00105  * Revision 1.60  2006/07/03 13:21:41  jmlarsen
00106  * Changed 1d-fit parameter estimation method when only sky needs to be determined
00107  *
00108  * Revision 1.59  2006/06/13 12:02:22  jmlarsen
00109  * Renamed y0 -> y_0
00110  *
00111  * Revision 1.58  2006/06/01 14:43:17  jmlarsen
00112  * Added missing documentation
00113  *
00114  * Revision 1.57  2006/05/12 15:13:04  jmlarsen
00115  * Pass image bpm as extra parameter to fitting routine for efficiency reasons
00116  *
00117  * Revision 1.56  2006/04/24 09:27:48  jmlarsen
00118  * Allow fixing background in gauss. fit
00119  *
00120  * Revision 1.55  2006/03/09 13:54:44  jmlarsen
00121  * Optimization of median computation
00122  *
00123  * Revision 1.54  2006/03/09 10:51:19  jmlarsen
00124  * Changed order of for loops
00125  *
00126  * Revision 1.53  2006/03/03 13:54:11  jmlarsen
00127  * Changed syntax of check macro
00128  *
00129  * Revision 1.52  2006/02/21 14:24:45  jmlarsen
00130  * Parameterized behaviour of median filter near image border
00131  *
00132  * Revision 1.51  2006/01/31 08:25:49  jmlarsen
00133  * Renamed uves_fit_gaussian_2d -> uves_fit_gaussian_2d_image
00134  *
00135  * Revision 1.50  2006/01/25 16:13:20  jmlarsen
00136  * Changed interface of gauss.fitting routine
00137  *
00138  * Revision 1.49  2006/01/12 15:41:14  jmlarsen
00139  * Moved gauss. fitting to irplib
00140  *
00141  * Revision 1.48  2005/12/20 08:11:44  jmlarsen
00142  * Added CVS  entry
00143  *
00144  */
00145 
00146 #ifdef HAVE_CONFIG_H
00147 #  include <config.h>
00148 #endif
00149 #  include <assert.h>
00150 /*----------------------------------------------------------------------------*/
00157 /*----------------------------------------------------------------------------*/
00158 
00161 #include <uves_utils_cpl.h>
00162 
00163 #include <uves_utils.h>
00164 #include <uves_utils_wrappers.h>
00165 #include <uves_dump.h>
00166 #include <uves_error.h>
00167 
00168 #include <cpl.h>
00169 #include <stdbool.h>
00170 #include <string.h>
00171 
00172 static cpl_image *filter_median(const cpl_image *image, int radx, int rady,
00173                 bool extrapolate_border);
00174     
00175 
00176 /*----------------------------------------------------------------------------*/
00188 /*----------------------------------------------------------------------------*/
00189 const cpl_property *
00190 uves_find_property_const(const uves_propertylist *plist, const char *name,
00191                    int number)
00192 {
00193     int i = 0;
00194     int size = uves_propertylist_get_size(plist);
00195 
00196     assure( number >= 0, CPL_ERROR_ILLEGAL_INPUT, "Number (%d) must be non-negative",
00197             number);
00198 
00199     for (i = 0; i < size; i++)
00200     {
00201         const cpl_property *p = uves_propertylist_get_const(plist, i);
00202 
00203         if (strcmp(cpl_property_get_name(p), name) == 0)
00204         {
00205                     if (number == 0)
00206                         {
00207                             return p;
00208                         }
00209                     else
00210                         /* Continue search */
00211                         {
00212                             number--;
00213                         }
00214         }
00215     }
00216 
00217   cleanup:
00218     return NULL;
00219 }
00220 cpl_property *
00221 uves_find_property(uves_propertylist *plist, const char *name,
00222                    int number)
00223 {
00224     return (cpl_property *) uves_find_property_const(plist, name, number);
00225 }
00226 
00227 /*----------------------------------------------------------------------------*/
00239 /*----------------------------------------------------------------------------*/
00240 cpl_error_code
00241 uves_filter_image_average(cpl_image *image, int radius_x, int radius_y)
00242 {
00243     cpl_image *aux = NULL;
00244     double *image_data = NULL;
00245     double *aux_data = NULL;
00246     int nx, ny;
00247     int i;
00248 
00249     /* For bad pixel handling, create a similar auxillary image that counts the bad pixels */
00250     
00251     assure( image != NULL, CPL_ERROR_NULL_INPUT, "Null image");
00252     assure( radius_x >= 0, CPL_ERROR_ILLEGAL_INPUT, "Negative x-radius (%d)", radius_x);
00253     assure( radius_y >= 0, CPL_ERROR_ILLEGAL_INPUT, "Negative y-radius (%d)", radius_y);
00254     assure( cpl_image_get_type(image) == CPL_TYPE_DOUBLE, CPL_ERROR_TYPE_MISMATCH,
00255         "Type is %s. double expected", uves_tostring_cpl_type(cpl_image_get_type(image)));
00256     
00257     nx = cpl_image_get_size_x(image);
00258     ny = cpl_image_get_size_y(image);
00259     image_data = cpl_image_get_data_double(image);
00260     
00261     /* (Disabled:) To avoid problems with overflow (the total flux in the image might
00262        be larger than INT_MAX) subtract a constant (the average flux), apply the filter,
00263        then add the constant       */
00264     
00265     /* First build auxillary image:
00266      *
00267      * aux(x,y) = sum_{i=0,x-1} sum_{j=0,y-1}  image(i,j)
00268      *          = sum of rectangle (0,0)-(x-1,y-1)
00269      *
00270      */
00271 
00272     aux = cpl_image_new(nx+1, ny+1, CPL_TYPE_DOUBLE);          /* Initialized to zero */
00273     aux_data = cpl_image_get_data(aux);
00274 
00275     /* Column x=0 and row y=0 are already zero and need not be calculated,
00276      * start from 1.    */
00277 
00278 /* Slow:    for (x = 1; x < nx+1; x++)
00279             {
00280         for (y = 1; y < ny+1; y++)
00281         {
00282 */
00283     for (i = 0; i < (nx+1)*(ny+1); i++)
00284     {
00285         int x = i % (nx+1);
00286         int y = i / (nx+1);
00287         
00288         if ( x >= 1 && y >= 1)
00289         {
00290             aux_data[x + y*(nx+1)] = image_data[x-1 + (y-1) * nx]
00291             + aux_data  [x-1 +    y * (nx+1)]
00292             + aux_data  [x   + (y-1)* (nx+1)]
00293             - aux_data  [x-1 + (y-1)* (nx+1)];
00294         }
00295         
00296         /* Proof of induction step
00297          * (assume that formula holds up to (x-1,y) and (x,y-1) and prove formula for (x,y))
00298          *
00299          *  aux(x,y) = image(x-1, y-1) + aux(x-1, y) + aux(x, y-1) - aux(x-1, y-1)  (see code)
00300          *
00301          *  = image(x-1, y-1)
00302          *  + sum_{i=0,x-2}_{j=0,y-1} image(i,j)  _
00303          *  + sum_{i=0,x-1}_{j=0,y-2} image(i,j)   \_ sum_{j=0,y-2} image(x-1, j)  
00304          *  - sum_{i=0,x-2}_{j=0,y-2} image(i,j)  _/ 
00305          * 
00306          *  = sum_{i=0,x-2}_{j=0,y-1} image(i,j)
00307          *  + sum_          {j=0,y-1} image(x-1, j)  
00308          *  
00309          *  = sum_{j=0,y-1} [ ( sum_{i=0,x-2} image(i,j) ) + image(x-1,j) ]
00310          *  = sum_{j=0,y-1}     sum_{i=0,x-1} image(i,j)      q.e.d.
00311          *
00312          *  It's simpler when you draw it... 
00313          */
00314     }
00315 
00316     uves_msg_debug("Finished setting up auxillary image. Get average");
00317 
00318     /* Then calculate average = (flux in window) / (image size) */
00319     for (i = 0; i < nx*ny; i++)
00320     {
00321         int x = (i % nx);
00322         int y = (i / nx);
00323 
00324         int lower, upper;
00325         int left, right;
00326         
00327         lower = y - radius_y; if (lower <   0) lower = 0;
00328         upper = y + radius_y; if (upper >= ny) upper = ny - 1;
00329         
00330         left  = x - radius_x; if (left  <   0) left  = 0;
00331         right = x + radius_x; if (right >= nx) right = nx - 1;
00332         
00333         image_data[x + y*nx] =
00334         (
00335             aux_data[(right+1) + (upper+1)*(nx+1)] +
00336             aux_data[ left     +  lower   *(nx+1)] -
00337             aux_data[ left     + (upper+1)*(nx+1)] -
00338             aux_data[(right+1) +  lower   *(nx+1)]
00339             )
00340         /
00341         ( (double) (upper-lower+1) * (right-left+1) );
00342     }
00343     
00344   cleanup:
00345     uves_free_image(&aux);
00346     return cpl_error_get_code();
00347 }
00348 
00349 
00350 /*----------------------------------------------------------------------------*/
00364 /*----------------------------------------------------------------------------*/
00365 cpl_error_code
00366 uves_filter_image_median(cpl_image **image, int xwindow, int ywindow, bool extrapolate_border)
00367 {
00368     cpl_matrix *id = NULL;
00369     cpl_image *temp = NULL;
00370 
00371     assure( xwindow >= 0 && ywindow >= 0, CPL_ERROR_ILLEGAL_INPUT,
00372         "Illegal window radius: %d x %d", 
00373         (2*xwindow + 1),
00374         (2*ywindow + 1));
00375     
00376     UVES_TIME_START("median filter");
00377 
00378     if (xwindow <= 1 && ywindow <= 1)
00379 /* CPL 3 supports   if (xwindow <= 4 && ywindow <= 4) */
00380     {
00381         check(( id = cpl_matrix_new(2*xwindow+1, 2*ywindow+1),
00382             cpl_matrix_fill(id, 1)), "Could not create kernel matrix");
00383         
00384         /* Image to cpl_image_filter_median must be float or double */
00385         if (cpl_image_get_type(*image) == CPL_TYPE_INT)
00386         {
00387             temp = cpl_image_cast(*image, CPL_TYPE_DOUBLE);
00388             uves_free_image(image);
00389         }
00390         else
00391         {
00392             temp = *image;
00393         }
00394         check( *image = uves_image_filter_median(temp, id), "Error applying median filter");
00395 
00396         /* fixme: the CPL function marks border pixels as bad. Do something
00397            depending on the extrapolate_border flag */
00398     }
00399     else
00400     {
00401         temp = *image;
00402         check( *image = filter_median(temp, xwindow, ywindow, extrapolate_border),
00403            "Error applying median filter");
00404         uves_free_image(&temp);
00405     }
00406 
00407     UVES_TIME_END;    
00408     
00409   cleanup:
00410     uves_free_matrix(&id);
00411     uves_free_image(&temp);
00412     return cpl_error_get_code();
00413 }
00414 
00416 #define DOUBLE_SWAP(a,b) { register double t=(a);(a)=(b);(b)=t; }
00417 
00428 double uves_utils_get_kth_double(
00429         double  *   a, 
00430         int         n, 
00431         int         k)
00432 {
00433     register double x ;
00434     register int    i, j, l, m ;
00435 
00436     l=0 ; m=n-1 ;
00437     while (l<m) {
00438         x=a[k] ;
00439         i=l ;
00440         j=m ;
00441         do {
00442             while (a[i]<x) i++ ;
00443             while (x<a[j]) j-- ;
00444             if (i<=j) {
00445                 DOUBLE_SWAP(a[i],a[j]) ;
00446                 i++ ; j-- ;
00447             }
00448         } while (i<=j) ;
00449         if (j<k) l=i ;
00450         if (k<i) m=j ;
00451     }
00452     return a[k] ;
00453 }
00454 
00463 double
00464 uves_tools_get_median(double *a, int n)
00465 {
00466     if (n % 2 == 0)
00467     {
00468         return
00469         (uves_utils_get_kth_double(a, n, n/2) +
00470          uves_utils_get_kth_double(a, n, n/2-1))/2.0;
00471         
00472     }
00473     else
00474     {
00475         return uves_utils_get_kth_double(a, n, (n-1)/2);
00476     }
00477 }
00478 
00479 
00480 
00481 /*----------------------------------------------------------------------------*/
00503 /*----------------------------------------------------------------------------*/
00504 static cpl_image *
00505 filter_median(const cpl_image *image, int radx, int rady, bool extrapolate_border)
00506 {
00507     int x, y;
00508     int nx = cpl_image_get_size_x(image);
00509     int ny = cpl_image_get_size_y(image);
00510     cpl_image *result = cpl_image_new(nx, ny, CPL_TYPE_DOUBLE);
00511     double *result_data;
00512     const double *image_data;
00513     double *window = NULL;
00514 
00515     window = cpl_malloc(sizeof(double) * (2*radx+1)*(2*rady+1));
00516     assure_mem( result );
00517     assure( cpl_image_get_type(image) == CPL_TYPE_DOUBLE,
00518             CPL_ERROR_UNSUPPORTED_MODE, "Type is %s", 
00519             uves_tostring_cpl_type(cpl_image_get_type(image)));
00520 
00521     result_data = cpl_image_get_data_double(result);
00522     image_data = cpl_image_get_data_double_const(image);
00523 
00524     for (y = 1; y <= ny; y++)
00525     {
00526         for (x = 1; x <= nx; x++)
00527         {
00528             int x1, y_1, x2, y2;
00529             
00530             x1 = x - radx; y_1 = y - rady;
00531             x2 = x + radx; y2  = y + rady;
00532 
00533             if (extrapolate_border)
00534             {
00535                 /* At edge of image, move median box, so
00536                    that entire box is inside of image */
00537                 if (x1 < 1)
00538                 {
00539                     x2 += (1 - x1);
00540                     x1 += (1 - x1);
00541                 }
00542                 if (nx < x2)
00543                 {
00544                     x1 -= (x2 - nx);
00545                     x2 -= (x2 - nx);
00546                 }
00547                 
00548                 if (y_1 < 1)
00549                 {
00550                     y2  += (1 - y_1);
00551                     y_1 += (1 - y_1);
00552                 }
00553                 if (ny < y2)
00554                 {
00555                     y_1 -= (y2 - ny);
00556                     y2  -= (y2 - ny);
00557                 }
00558             }
00559             else { /* Rely on the use of min/max below */ }
00560             
00561 #if 0
00562             result_data[(x-1) + (y-1)*nx] = 
00563             cpl_image_get_median_window(image,  
00564                             uves_max_int(1,  x1),
00565                             uves_max_int(1,  y_1),
00566                             uves_min_int(nx, x2),
00567                             uves_min_int(ny, y2));
00568 
00569 #else
00570             /* This saves a few (~10-20) percent execution time */
00571             {
00572             int i, j, k;
00573             
00574             k = 0;
00575             for (j  = uves_max_int(1 , y_1)-1;
00576                  j <= uves_min_int(ny, y2 )-1;
00577                  j++)
00578                 for (i  = uves_max_int(1,  x1)-1; 
00579                  i <= uves_min_int(nx, x2)-1; 
00580                  i++)
00581                 {
00582                     window[k++] = image_data[i + j*nx];
00583                 }
00584             
00585             result_data[(x-1) + (y-1)*nx] = 
00586                 uves_utils_get_kth_double(window,k,(((k)&1)?((k)/2):(((k)/2)-1))) ;
00587             }
00588 #endif        
00589         }
00590     }
00591     
00592 
00593     assure( cpl_error_get_code() == CPL_ERROR_NONE, cpl_error_get_code(), 
00594         "Error calculating %dx%d median filter", radx, rady);
00595     
00596   cleanup:
00597     cpl_free(window);
00598     return result;
00599 }
00600 
00601 
00602 /*----------------------------------------------------------------------------*/
00630 /*----------------------------------------------------------------------------*/
00631 
00632 cpl_error_code
00633 uves_fit_gaussian_2d_image(const cpl_image *image, const cpl_image *noise,
00634                int x1, int y_1,
00635                int x2, int y2,
00636                double *x0, double *y_0, double *sigmax, double *sigmay,
00637                double *amplitude,
00638                double *dx0, double *dy0
00639     )
00640 {
00641     cpl_image  *marginal_x = NULL;
00642     cpl_image  *marginal_y = NULL;
00643     cpl_image  *marginal_x_noise = NULL;
00644     cpl_image  *marginal_y_noise = NULL;
00645     cpl_image  *variance = NULL;
00646     cpl_matrix *covariance = NULL;
00647 
00648     int nx, ny;
00649     double norm_x, norm_y;
00650     double background_x, background_y;
00651 
00652     /* Check input */
00653     assure( image != NULL, CPL_ERROR_NULL_INPUT, "Null image");
00654     nx = cpl_image_get_size_x(image);
00655     ny = cpl_image_get_size_y(image);
00656     assure( noise != NULL || (dx0 == NULL && dy0 == NULL), CPL_ERROR_INCOMPATIBLE_INPUT,
00657         "Cannot compute uncertainty of fit with no noise image specified");
00658     assure( noise == NULL || 
00659         (cpl_image_get_size_x(noise) == nx &&
00660          cpl_image_get_size_y(noise) == ny),
00661         CPL_ERROR_INCOMPATIBLE_INPUT,
00662         "Size of input image (%dx%d) and noise image (%dx%d) differ", 
00663         nx, ny,
00664         cpl_image_get_size_x(noise),
00665         cpl_image_get_size_y(noise));
00666     assure( 1 <= x1 && x1 <= x2 && x2 <= nx &&
00667         1 <= y_1 && y_1 <= y2 && y2 <= ny, CPL_ERROR_ILLEGAL_INPUT,
00668         "Illegal window: (%d, %d)-(%d, %d)", x1, y_1, x2, y2);
00669     assure( x0 != NULL, CPL_ERROR_NULL_INPUT, "Null x-center");
00670     assure( y_0 != NULL, CPL_ERROR_NULL_INPUT, "Null y-center");
00671     assure( sigmax != NULL, CPL_ERROR_NULL_INPUT, "Null sigma_x");
00672     assure( sigmay != NULL, CPL_ERROR_NULL_INPUT, "Null sigma_y");
00673     /* amplitude, dx0, dy0 may be NULL */
00674 
00675     if (noise != NULL)
00676     {
00677         /* Variance = noise^2 */
00678         check(( variance = cpl_image_extract(noise, x1, y_1, x2, y2),
00679             cpl_image_power(variance, 2.0)),
00680            "Error creating variance image");
00681     }
00682     
00683     /* Collapse along columns (result is horizontal) */
00684     check( marginal_x = cpl_image_collapse_window_create(image,
00685                              x1, y_1, x2, y2,
00686                              0),           /* Sum of columns */
00687        "Error collapsing window (%d, %d) - (%d, %d)", x1, y_1, x2, y2);  
00688 
00689     if (noise != NULL)
00690     {
00691         /* Sigma of sum = sqrt [ sum sigma_i^2 ] */
00692         
00693         check( marginal_x_noise = cpl_image_collapse_window_create(variance,
00694                                        1, 1, 
00695                                        x2-x1+1, y2-y_1+1,
00696                                        0), /* Sum of columns */
00697            "Error collapsing window (1, 1) - (%d, %d)", x2-x1+1, y2-y_1+1);
00698 
00699         /* Sqrt */
00700         cpl_image_power(marginal_x_noise, 0.5);
00701     }
00702     
00703     /* Collapse along rows (result is vertical) */
00704     check( marginal_y = cpl_image_collapse_window_create(image,
00705                              x1, y_1, x2, y2,
00706                              1),           /* Sum of rows */
00707        "Error collapsing window (%d, %d) - (%d, %d)", x1, y_1, x2, y2);  
00708     
00709     if (noise != NULL)
00710     {
00711         check( marginal_y_noise = cpl_image_collapse_window_create(variance,
00712                                        1, 1,
00713                                        x2-x1+1, y2-y_1+1,
00714                                        1), /* Sum of rows */
00715            "Error collapsing window (1, 1) - (%d, %d)", x2-x1+1, y2-y_1+1);
00716 
00717         /* Sqrt */
00718         cpl_image_power(marginal_y_noise, 0.5);
00719     }
00720 
00721     /* Fit x-distribution */
00722     uves_fit_1d_image(marginal_x, marginal_x_noise, NULL,
00723               true,                       /* Horizontal ?                  */
00724               false, false,               /* Fix/fit background ?          */
00725               1, x2 - x1 + 1, 1,          /* xlo, xhi, y                   */
00726               x0, sigmax, &norm_x, &background_x, NULL,
00727               NULL, NULL,                 /* mse, red. chi^2               */
00728               (dx0 != NULL) ? &covariance : NULL,
00729               uves_gauss, uves_gauss_derivative, 4);
00730 
00731     /* Set code 'CPL_ERROR_CONTINUE' if fitting failed, check for unexpected errors */
00732     assure( cpl_error_get_code() != CPL_ERROR_CONTINUE ||
00733         cpl_error_get_code() != CPL_ERROR_SINGULAR_MATRIX,
00734         CPL_ERROR_CONTINUE, "Fitting along x failed");
00735     assure( cpl_error_get_code() == CPL_ERROR_NONE, cpl_error_get_code(), 
00736         "Fitting along x failed");
00737      
00738     /* Map to world-coordinates */
00739     *x0 += (x1 - 1);
00740     
00741     if (dx0 != NULL)
00742     {
00743         *dx0 = cpl_matrix_get(covariance, 0, 0);
00744     }
00745 
00746 
00747     /* Fit y-distribution */
00748     uves_free_matrix(&covariance);
00749     uves_fit_1d_image(marginal_y, marginal_y_noise, NULL,
00750               false,                      /* Horizontal ?                  */
00751               false, false,               /* Fix/fit background ?          */
00752               1, y2 - y_1 + 1, 1,          /* ylo, yhi, x                   */
00753               y_0, sigmay, &norm_y, &background_y, NULL,
00754               NULL, NULL,                 /* mse, red. chi^2               */
00755               (dy0 != NULL) ? &covariance : NULL,
00756               uves_gauss, uves_gauss_derivative, 4);
00757     
00758     /* Set code 'CPL_ERROR_CONTINUE' if fitting failed, check for unexpected errors */
00759     assure( cpl_error_get_code() != CPL_ERROR_CONTINUE ||
00760         cpl_error_get_code() != CPL_ERROR_SINGULAR_MATRIX,
00761         CPL_ERROR_CONTINUE, "Fitting along y failed");
00762     assure( cpl_error_get_code() == CPL_ERROR_NONE, cpl_error_get_code(), 
00763         "Fitting along y failed");
00764     
00765     /* Map to world-coordinates */
00766     *y_0 += (y_1 - 1);
00767     
00768     if (dy0 != NULL)
00769     {
00770         *dy0 = cpl_matrix_get(covariance, 0, 0);
00771     }
00772     
00773     /* Set amplitude  = N / [ sqrt(2pi sigmax^2) sqrt(2pi sigmay^2) ].
00774      *
00775      * The fitted norm (area), N, is the same (up to numerical errors) in both directions,
00776      * so use geometric average as an estimate of N.
00777      */
00778     if (amplitude != NULL)
00779     {
00780         *amplitude = sqrt(norm_x * norm_y) / (2*M_PI * (*sigmax) * (*sigmay));
00781     }
00782     
00783   cleanup:
00784     uves_free_matrix(&covariance);
00785     uves_free_image(&variance);
00786     uves_free_image(&marginal_x);
00787     uves_free_image(&marginal_x_noise);
00788     uves_free_image(&marginal_y);
00789     uves_free_image(&marginal_y_noise);
00790     
00791     return cpl_error_get_code();
00792 }
00793 
00794 

Generated on 8 Mar 2011 for UVES Pipeline Reference Manual by  doxygen 1.6.1