source: issm/trunk/src/m/classes/public/ismodelselfconsistent.m@ 5619

Last change on this file since 5619 was 5619, checked in by Mathieu Morlighem, 15 years ago

Added check for Balancedthickness

File size: 16.9 KB
RevLine 
[2326]1function ismodelselfconsistent(md),
[1]2%ISMODELSELFCONSISTENT - check that model forms a closed form solvable problem.
3%
4% Usage:
[2326]5% ismodelselfconsistent(md),
[1]6
[2366]7%tolerance we use in litmus checks for the consistency of the model
[5575]8tolerance=10^-9;
[4756]9%check usage {{{1
[2326]10if nargin~=1,
[27]11 help ismodelselfconsistent
12 error('ismodelselfconsistent error message: wrong usage');
[1]13end
[4756]14%}}}
[1]15
[4756]16%recursive call for TRANSIENT {{{1
[4303]17if (md.analysis_type==Transient2DSolutionEnum | md.analysis_type==Transient3DSolutionEnum),
[2326]18 if md.dt<=0,
19 error('model not consistent: field dt must be positive for a transient run')
20 end
21
22 %recursive call to ismodelselfconsistent
[3994]23 if (md.dim==2),
[4303]24 analysis=[DiagnosticSolutionEnum PrognosticSolutionEnum];
[2528]25 else
[4303]26 analysis=[DiagnosticSolutionEnum PrognosticSolutionEnum ThermalSolutionEnum];
[2528]27 end
28
[2326]29 for i=1:length(analysis),
[2520]30 md.analysis_type=analysis(i);
[2326]31 ismodelselfconsistent(md);
32 end
33end
[4756]34%}}}
[2326]35
[4756]36% Common checks
37%COUNTER {{{1
[27]38if md.counter<3,
[2326]39 error(['model ' md.name ' is not correctly configured. You forgot one step in the following sequence (mesh, geography, parameterize,setelementstype)!']);
[1]40end
[4756]41%}}}
42%NAME{{{1
[1]43if isempty(md.name),
[2326]44 error(['model is not correctly configured: missing name!']);
[1]45end
[4756]46%}}}
47%ELEMENTS{{{1
48fields={'elements'};
49if (md.dim==2),
50 checksize(md,fields,[md.numberofelements 3]);
51else
52 checksize(md,fields,[md.numberofelements 6]);
53end
54%}}}
55%ELEMENTSTYPE{{{1
[4891]56%Check the size of elements_type
57fields={'elements_type'};
[5433]58checksize(md,fields,[md.numberofelements 1]);
59%Check the values of elements_type
[5613]60checkvalues(md,{'elements_type'},[MacAyealApproximationEnum() HutterApproximationEnum() PattynApproximationEnum() MacAyealPattynApproximationEnum() PattynStokesApproximationEnum() StokesApproximationEnum() NoneApproximationEnum()]);
[3994]61if (md.dim==2),
[5433]62 checkvalues(md,{'elements_type'},[MacAyealApproximationEnum() HutterApproximationEnum()]);
[1]63end
[358]64if (md.ismacayealpattyn==0 && md.ishutter==0 && md.isstokes==0),
[2326]65 error(['model not consistent: no elements type set for this model. at least one of ismacayealpattyn, ishutter and isstokes need to be =1']);
[358]66end
[4756]67%}}}
[5071]68%VERTICESTYPE{{{1
69%Check the size of verticess_type
70fields={'vertices_type'};
[5433]71checksize(md,fields,[md.numberofgrids 1]);
72%Check the values of vertices_type
73checkvalues(md,{'vertices_type'},[MacAyealApproximationEnum() HutterApproximationEnum() PattynApproximationEnum() MacAyealPattynApproximationEnum() StokesApproximationEnum() NoneApproximationEnum()]);
[5071]74if (md.dim==2),
[5433]75 checkvalues(md,{'vertices_type'},[MacAyealApproximationEnum() HutterApproximationEnum()]);
[5071]76end
77if (md.ismacayealpattyn==0 && md.ishutter==0 && md.isstokes==0),
78 error(['model not consistent: no elements type set for this model. at least one of ismacayealpattyn, ishutter and isstokes need to be =1']);
79end
80%}}}
[4756]81%DG {{{1
[4764]82if md.prognostic_DG==1;
[4756]83 %CHECK THE COMPATIBILITY OF THE EDGES
84 fields={'edges'};
85 checksize(md,fields,[NaN 4]);
[5442]86 fields={'edges(:,1:3)'};
[4756]87 checknan(md,fields);
[5442]88 checkgreaterstrict(md,fields,0);
[4756]89end
90%}}}
91%PRESSURELOAD{{{1
[3994]92if (md.dim==2),
[2326]93 fields={'pressureload'};
[3099]94 checksize(md,fields,[NaN 4]);
[3994]95elseif md.dim==3,
[2326]96 fields={'pressureload'};
[3099]97 checksize(md,fields,[NaN 6]);
[3356]98else
[4796]99 error('dim should be either 2 3');
[1796]100end
[4870]101checkvalues(md,{'pressureload(:,end)'},[WaterEnum() AirEnum()]);
[4756]102%}}}
103%NO NAN {{{1
[3758]104fields={'numberofelements','numberofgrids','x','y','z','drag_coefficient','drag_type','drag_p','drag_q',...
105 'rho_ice','rho_water','rheology_B','elementoniceshelf','surface','thickness','bed','g','lowmem','sparsity','nsteps','maxiter',...
106 'tolx','np','eps_res','max_nonlinear_iterations','exclusive','rheology_n','gridonbed','gridonsurface','elementonbed','elementonsurface','deltaH','DeltaH','timeacc','timedec'};
[2366]107checknan(md,fields);
[4756]108%}}}}
109%FIELDS >= 0 {{{1
[3758]110fields={'numberofelements','numberofgrids','elements','drag_coefficient','drag_type','drag_p','drag_q',...
111 'rho_ice','rho_water','rheology_B','elementoniceshelf','thickness','g','eps_res','max_nonlinear_iterations','eps_rel','eps_abs','nsteps','maxiter','tolx','exclusive',...
112 'sparsity','lowmem','rheology_n','gridonbed','gridonsurface','elementonbed','elementonsurface','deltaH','DeltaH','timeacc','timedec'};
[2366]113checkgreater(md,fields,0);
[4756]114%}}}
115%FIELDS > 0 {{{1
[3758]116fields={'numberofelements','numberofgrids','elements','drag_type','drag_p',...
117 'rho_ice','rho_water','rheology_B','thickness','g','max_nonlinear_iterations','eps_res','eps_rel','eps_abs','maxiter','tolx',...
[27]118 'sparsity','deltaH','DeltaH','timeacc','timedec'};
[2366]119checkgreaterstrict(md,fields,0);
[4756]120%}}}
121%SIZE NUMBEROFELEMENTS {{{1
[3759]122fields={'drag_p','drag_q','elementoniceshelf','rheology_n','elementonbed'};
[2991]123checksize(md,fields,[md.numberofelements 1]);
[4756]124%}}}
125%SIZE NUMBEROFGRIDS {{{1
[3758]126fields={'x','y','z','rheology_B','drag_coefficient','melting_rate','accumulation_rate','surface','thickness','bed','gridonbed','gridonsurface'};
[2991]127checksize(md,fields,[md.numberofgrids 1]);
[4756]128%}}}
129%OTHER SIZES {{{1
[2405]130fields={'spcvelocity'};
131checksize(md,fields,[md.numberofgrids 6]);
[4756]132%}}}
133%THICKNESS = SURFACE - BED {{{1
[681]134if any((md.thickness-md.surface+md.bed)>tolerance),
[2326]135 error(['model not consistent: model ' md.name ' violates the equality thickness=surface-bed!']);
[27]136end
[4756]137%}}}
138%RIFTS{{{1
[27]139if md.numrifts,
[3994]140 if ~(md.dim==2),
[2326]141 error(['model not consistent: models with rifts are only supported in 2d for now!']);
[1]142 end
[2660]143 if ~isstruct(md.rifts),
144 error(['model not consistent: md.rifts should be a structure!']);
145 end
146 if ~isempty(find(md.segmentmarkers>=2)),
147 %We have segments with rift markers, but no rift structure!
148 error(['model not consistent: model ' md.name ' should be processed for rifts (run meshprocessrifts)!']);
149 end
150 %Check that rifts are filled with proper material
151 checkvalues(md,{'rifts.fill'},[WaterEnum() AirEnum() IceEnum() MelangeEnum()]);
152else
[2748]153 if ~isnans(md.rifts),
[2660]154 error(['model not consistent: md.rifts shoud be NaN since md.numrifts is 0!']);
[27]155 end
156end
[4756]157%}}}
158%FLAGS (0 or 1){{{1
[2326]159if ~ismember(md.artificial_diffusivity,[0 1]),
160 error('model not consistent: artificial_diffusivity should be a scalar (1 or 0)');
[1]161end
[4756]162if ~ismember(md.prognostic_DG,[0 1]),
163 error('model not consistent: prognostic_DG should be a scalar (1 or 0)');
164end
165if ~ismember(md.lowmem,[0 1]),
166 error(['model not consistent: model ' md.name ' lowmem field should be 0 or 1']);
167end
168%}}}
169%PARAMETEROUTPUT {{{1
[2307]170if md.numoutput~=length(md.parameteroutput),
[2326]171 error('model not consistent: numoutput should be the same size as parameteroutput');
[2307]172end
[4756]173%}}}
174%CONNECTIVITY {{{1
[3994]175if (md.dim==2),
[2326]176 if md.connectivity<9,
177 error('model not consistent: connectivity should be at least 9 for 2d models');
178 end
179end
[3994]180if md.dim==3,
[2326]181 if md.connectivity<24,
182 error('model not consistent: connectivity should be at least 24 for 3d models');
183 end
184end
[4756]185%}}}
186%PARALLEL{{{1
[2326]187if ~strcmpi(md.cluster,'none'),
188
189 %NAN VALUES
190 fields={'time','np'};
[2366]191 checknan(md,fields);
[2326]192
193 %FIELD > 0
194 fields={'time','np'};
[2366]195 checkgreaterstrict(md,fields,0);
[2326]196
197end
[4756]198%}}}
[2326]199
[4756]200% Solution checks
201%DIAGNOSTIC{{{1
[4303]202if md.analysis_type==DiagnosticSolutionEnum,
[27]203
204 %HUTTER ON ICESHELF WARNING
[5433]205 if any(md.elements_type==HutterApproximationEnum & md.elementoniceshelf),
[27]206 disp(sprintf('\n !!! Warning: Hutter''s model is not consistent on ice shelves !!!\n'));
207 end
208
209 %SINGULAR
[2282]210 if ~any(sum(md.spcvelocity(:,1:2),2)==2),
[2326]211 error(['model not consistent: model ' md.name ' is not well posed (singular). You need at least one grid with fixed velocity!'])
[1]212 end
213
[27]214 %DIRICHLET IF THICKNESS <= 0
[681]215 if any(md.thickness<=0),
[27]216 pos=find(md.thickness<=0);
[1755]217 if any(find(md.spcthickness(pos,1)==0)),
[2326]218 error(['model not consistent: model ' md.name ' has some grids with 0 thickness']);
[27]219 end
220 end
[2357]221
[2367]222 %INITIAL VELOCITY
223 if length(md.vx)==md.numberofgrids & length(md.vy)==md.numberofgrids,
224 fields={'vx','vy'};
225 checknan(md,fields);
226 end
[1]227end
[4756]228%}}}
229%PROGNOSTIC{{{1
[4303]230if md.analysis_type==PrognosticSolutionEnum,
[1]231
[2357]232 %INITIAL VELOCITIES
233 fields={'vx','vy'};
[2366]234 checksize(md,fields,[md.numberofgrids 1]);
235 checknan(md,fields);
[2357]236
[2519]237 %CHECK THAT WE ARE NOT FULLY CONSTRAINED
[3994]238 if (md.dim==2),
[2519]239 if isempty(find(~md.spcthickness(:,1))),
240 error(['model not consistent: model ' md.name ' is totally constrained for prognostic, no need to solve!']);
241 end
242 end
243
[1]244end
[4756]245%}}}
246%STEADYSTATE{{{1
[4303]247if md.analysis_type==SteadystateSolutionEnum,
[2326]248
[1901]249 %NDT
250 if md.dt~=0,
[2326]251 error(['model not consistent: for a steadystate computation, dt must be zero.']);
[1901]252 end
[2326]253
[1787]254 %PRESSURE
255 if isnans(md.pressure),
[2326]256 error(['model not consistent: for a steadystate computation, the model must have an initial pressure, even lithostatic will do.']);
[1787]257 end
258
259 %eps:
260 if isnan(md.eps_rel),
[2326]261 error(['model not consistent: for a steadystate computation, eps_rel (relative convergence criterion) must be defined!']);
[1787]262 end
263
264 %dim:
[3994]265 if (md.dim==2),
[2326]266 error(['model not consistent: for a steadystate computation, model needs to be 3d']);
[1787]267 end
268end
[4756]269%}}}
270%THERMAL {{{1
[27]271%THERMAL STEADY AND THERMAL TRANSIENT
[4303]272if md.analysis_type==ThermalSolutionEnum,
[27]273
274 %EXTRUSION
[3994]275 if (md.dim==2),
[2326]276 error(['model not consistent: for a ' md.analysis_type ' computation, the model must be 3d, extrude it first!'])
[1]277 end
[27]278
[2519]279 %CHECK THAT WE ARE NOT FULLY CONSTRAINED
[3994]280 if isempty(find(~md.spctemperature(:,1))),
281 error(['model not consistent: model ' md.name ' is totally constrained for temperature, no need to solve!']);
[2519]282 end
283
[27]284 %VELOCITIES AND PRESSURE
[2357]285 fields={'vx','vy','vz','pressure'};
[2366]286 checksize(md,fields,[md.numberofgrids 1]);
287 checknan(md,fields);
[2357]288
[1]289end
290
[1311]291%THERMAL TRANSIENT
[4303]292if md.analysis_type==ThermalSolutionEnum & md.dt~=0,
[27]293
294 %DT and NDT
295 fields={'dt','ndt'};
[2366]296 checkgreaterstrict(md,fields,0);
[27]297
[1311]298 %INITIAL TEMPERATURE, MELTING AND ACCUMULATION
[3758]299 fields={'temperature','accumulation_rate','melting_rate'};
[2366]300 checksize(md,fields,[md.numberofgrids 1]);
[2440]301 checknan(md,fields);
[1]302
[2714]303 %INITIAL TEMPERATURE
[2669]304 fields={'temperature','spctemperature(:,2)','observed_temperature'};
305 checkgreater(md,fields,0)
306
[1]307end
[4756]308%}}}
309%BALANCEDTHICKNESS{{{1
[4303]310if md.analysis_type==BalancedthicknessSolutionEnum
[2714]311
312 %VELOCITIES MELTING AND ACCUMULATION
[4756]313 fields={'vx','vy','accumulation_rate','melting_rate','dhdt'};
[3589]314 checksize(md,fields,[md.numberofgrids 1]);
315 checknan(md,fields);
316
317 %SPC
[4965]318 if ~md.prognostic_DG,
319 if any(md.spcthickness(find(md.gridonboundary))~=1),
320 error(['model not consistent: model ' md.name ' should have all the nodes on boundary constrained in field spcthickness']);
321 end
322 end
[5619]323
324 %Triangle with zero velocity
325 if any(sum(abs(md.vx(md.elements)),2)==0 & sum(abs(md.vy(md.elements)),2)==0)
326 error('model not consistent: at least one triangle has all its vertices with a zero velocity');
327 end
[3589]328end
[4756]329%}}}
330%BALANCEDVELOCITIES{{{1
[4303]331if md.analysis_type==BalancedvelocitiesSolutionEnum
[2723]332
333 %VELOCITIES MELTING AND ACCUMULATION
[3758]334 fields={'vx','vy','accumulation_rate','melting_rate'};
[2723]335 checksize(md,fields,[md.numberofgrids 1]);
336 checknan(md,fields);
337
338 %SPC
339 if any(md.spcvelocity(find(md.gridonboundary),[1:2])~=1),
340 error(['model not consistent: model ' md.name ' should have all the nodes on boundary constrained in field spcvelocity']);
341 end
342end
[4756]343%}}}
344%CONTROL{{{1
[1907]345if md.control_analysis,
[1]346
[27]347 %CONTROL TYPE
[5359]348 if ~isnumeric(md.control_type),
349 error('model not consistent: control_type should be an enum');
[1]350 end
[5359]351 checkvalues(md,{'control_type'},[DhDtEnum DragCoefficientEnum RheologyBbarEnum]);
[1]352
[27]353 %LENGTH CONTROL FIELDS
[5360]354 fields={'maxiter','optscal','cm_responses','cm_jump'};
[2991]355 checksize(md,fields,[md.nsteps 1]);
[27]356
[5282]357 %RESPONSES
[5289]358 checkvalues(md,{'cm_responses'},[SurfaceAbsVelMisfitEnum SurfaceRelVelMisfitEnum SurfaceLogVelMisfitEnum SurfaceLogVxVyMisfitEnum SurfaceAverageVelMisfitEnum ThicknessAbsMisfitEnum]);
[1]359
[3203]360 %WEIGHTS
361 fields={'weights'};
362 checksize(md,fields,[md.numberofgrids 1]);
363 checkgreater(md,fields,0);
364
[27]365 %OBSERVED VELOCITIES
[5324]366 if md.analysis_type==BalancedthicknessSolutionEnum
367 fields={'thickness_obs'};
368 checksize(md,fields,[md.numberofgrids 1]);
369 checknan(md,fields);
370 else
371 fields={'vx_obs','vy_obs'};
372 checksize(md,fields,[md.numberofgrids 1]);
373 checknan(md,fields);
374 end
[1361]375
376 %DIRICHLET IF THICKNESS <= 0
377 if any(md.thickness<=0),
378 pos=find(md.thickness<=0);
[1755]379 if any(find(md.spcthickness(pos,1)==0)),
[2326]380 error(['model not consistent: model ' md.name ' has some grids with 0 thickness']);
[1361]381 end
382 end
[2686]383
384 %parameters
385 fields={'cm_noisedmp'};
386 checknan(md,fields);
[1]387end
[4756]388%}}}
389%QMU {{{1
390if md.qmu_analysis,
391 if md.qmu_params.evaluation_concurrency~=1,
392 error(['model not consistent: concurrency should be set to 1 when running dakota in library mode']);
393 end
394 if ~isempty(md.part),
395 if numel(md.part)~=md.numberofgrids,
396 error(['model not consistent: user supplied partition for qmu analysis should have size md.numberofgrids x 1 ']);
397 end
398 if find(md.part)>=md.numberofgrids,
399 error(['model not consistent: user supplied partition should be indexed from 0 (c-convention)']);
400 end
401 if min(md.part)~=0,
402 error(['model not consistent: partition vector not indexed from 0 on']);
403 end
404 if max(md.part)>=md.numberofgrids,
405 error(['model not consistent: partition vector cannot have maximum index larger than number of grids']);
406 end
407 if ~isempty(find(md.part<0)),
408 error(['model not consistent: partition vector cannot have values less than 0']);
409 end
410 if ~isempty(find(md.part>=md.npart)),
411 error(['model not consistent: partition vector cannot have values more than md.npart-1']);
412 end
413 if max(md.part)>=md.npart,
414 error(['model not consistent: for qmu analysis, partitioning vector cannot go over npart, number of partition areas']);
415 end
416 end
[5519]417 if ~md.qmu_relax,
418 if md.eps_rel>1.1*10^-5,
419 error(['model not consistent: for qmu analysis, eps_rel should be least than 10^-5, 10^-15 being a better value']);
420 end
[4756]421 end
422end
[1]423
[465]424if strcmpi(md.analysis_type,'qmu'),
[27]425 if ~strcmpi(md.cluster,'none'),
426 if md.waitonlock==0,
[2326]427 error(['model is not correctly configured: waitonlock should be activated when running qmu in parallel mode!']);
[1]428 end
429 end
430end
[4756]431%}}}
[1]432
[4756]433end
[1]434
[4756]435%checks additional functions
436%checklength {{{1
[2366]437function checklength(md,fields,fieldlength)
438 %CHECKSIZE - check length of a field
[2326]439 for i=1:length(fields),
[5442]440 eval(['field=md.' fields{i} ';']);
441 if length(field)~=fieldlength,
[2326]442 error(['model not consistent: field ' fields{i} ' length should be ' num2str(fieldlength)]);
[2164]443 end
444 end
445end
[4756]446%}}}
447%checksize {{{1
[2366]448function checksize(md,fields,fieldsize)
449 %CHECKSIZE - check size of a field
[2326]450 for i=1:length(fields),
[5442]451 eval(['field=md.' fields{i} ';']);
[2326]452 if isnan(fieldsize(1)),
[5442]453 if (size(field,2)~=fieldsize(2)),
[2326]454 error(['model not consistent: field ' fields{i} ' should have ' num2str(fieldsize(2)) ' columns']);
455 end
456 elseif isnan(fieldsize(2)),
[5442]457 if (size(field,1)~=fieldsize(1)),
[2326]458 error(['model not consistent: field ' fields{i} ' should have ' num2str(fieldsize(1)) ' rows']);
459 end
460 else
[5442]461 if ((size(field)~=fieldsize(1)) | (size(field,2)~=fieldsize(2)))
[2326]462 error(['model not consistent: field ' fields{i} ' size should be ' num2str(fieldsize(1)) ' x ' num2str(fieldsize(2))]);
463 end
[2164]464 end
465 end
466end
[4756]467%}}}
468%checknan {{{1
[2366]469function checknan(md,fields)
470 %CHECKNAN - check nan values of a field
[2326]471 for i=1:length(fields),
[5442]472 eval(['field=reshape(md.' fields{i} ',[prod(size(md.' fields{i} ')) 1]);']);
473 if any(isnan(field)),
474 error(['model not consistent: NaN values found in field ' fields{i}]);
[2164]475 end
476 end
477end
[4756]478%}}}
479%checkreal{{{1
[2366]480function checkreal(md,fields)
481 %CHECKREAL - check real values of a field
[2326]482 for i=1:length(fields),
[5442]483 eval(['field=reshape(md.' fields{i} ',[prod(size(md.' fields{i} ')) 1]);']);
484 if any(~isreal(field)),
485 error(['model not consistent: complex values found in field ' fields{i}]);
[2326]486 end
487 end
[2164]488end
[4756]489%}}}
490%checkgreaterstrict{{{1
[2366]491function checkgreaterstrict(md,fields,lowerbound)
492 %CHECKGREATERSTRICT - check values of a field
[2326]493 for i=1:length(fields),
[5442]494 eval(['field=reshape(md.' fields{i} ',[prod(size(md.' fields{i} ')) 1]);']);
495 if any(field<=lowerbound),
[2326]496 error(['model not consistent: field ' fields{i} ' should have values stricly above ' num2str(lowerbound)]);
497 end
[2164]498 end
499end
[4756]500%}}}
501%checkgreater{{{1
[2366]502function checkgreater(md,fields,lowerbound)
503 %CHECKGREATER - check values of a field
[27]504 for i=1:length(fields),
[5442]505 eval(['field=reshape(md.' fields{i} ',[prod(size(md.' fields{i} ')) 1]);']);
506 if any(field<lowerbound),
[2326]507 error(['model not consistent: field ' fields{i} ' should have values above ' num2str(lowerbound)]);
[27]508 end
509 end
[2326]510end
[4756]511%}}}
512%checklessstrict{{{1
[2366]513function checklessstrict(md,fields,upperbound)
514 %CHECKLESSSTRICT - check values of a field
[27]515 for i=1:length(fields),
[5442]516 eval(['field=reshape(md.' fields{i} ',[prod(size(md.' fields{i} ')) 1]);']);
517 if any(field>=upperbound),
[2326]518 error(['model not consistent: field ' fields{i} ' should have values stricly below ' num2str(upperbound)]);
[27]519 end
520 end
[2326]521end
[4756]522%}}}
523%checkless{{{1
[2366]524function checkless(md,fields,upperbound)
525 %CHECKLESS - check values of a field
[27]526 for i=1:length(fields),
[5442]527 eval(['field=reshape(md.' fields{i} ',[prod(size(md.' fields{i} ')) 1]);']);
528 if any(field>upperbound),
[2326]529 error(['model not consistent: field ' fields{i} ' should have values below ' num2str(upperbound)]);
[27]530 end
[1]531 end
532end
[4756]533%}}}
534%checkvalues {{{1
[2660]535function checkvalues(md,fields,values)
[4870]536 %CHECKVALUE - check that a field has specified values
[2660]537 for i=1:length(fields),
[5442]538 eval(['field=reshape(md.' fields{i} ',[prod(size(md.' fields{i} ')) 1]);']);
539 if any(~ismember(field,values)),
[2660]540 error(['model not consistent: field ' fields{i} ' should have values in ' num2str(values)]);
541 end
542 end
543end
[4756]544%}}}
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