source: trunk/src/plot_field.m @ 94

Last change on this file since 94 was 94, checked in by sommeria, 14 years ago

civ.m corrected to work for windows system

File size: 49.4 KB
Line 
1%'plot_field': plot any field with the structure defined in the uvmat package
2%------------------------------------------------------------------------
3%
4%  This function is used by uvmat to plot fields. It automatically chooses the representation
5% appropriate to the input field structure:
6%     2D vector fields are represented by arrows, 2D scalar fiedlds by grey scale images or contour plots, 1D fields are represented by usual plot with (abscissa, ordinate).
7%  The input field structure is first tested by check_field_structure.m,
8%  then split into blocks of related variables  by find_field_indices.m.
9%  The dimensionality of each block is obtained  by this fuction
10%  considering the presence of variables with the attribute .Role='coord_x'
11%  and/or coord_y and/or coord_z (case of unstructured coordinates), or
12%  dimension variables (case of matrices).
13%
14% function [PlotType,PlotParamOut,haxes]= plot_field(Data,haxes,PlotParam,htext,PosColorbar)
15%
16% OUPUT:
17% PlotType: type of plot: 'text','line'(curve plot),'plane':2D view,'volume'
18% PlotParamOut: structure, representing the updated  plotting parameters, in case of automatic scaling
19% haxes: handle of the plotting axis, when a new figure is created.
20%
21%INPUT
22%    Data:   structure describing the field to plot
23%         (optional) .ListGlobalAttribute: cell listing the names of the global attributes
24%                    .Att_1,Att_2... : values of the global attributes
25%         (requested)  .ListVarName: list of variable names to select (cell array of  char strings {'VarName1', 'VarName2',...} )
26%         (requested)  .VarDimName: list of dimension names for each element of .ListVarName (cell array of string cells)
27%                      .VarAttribute: cell of attributes for each element of .ListVarName (cell array of structures of the form VarAtt.key=value)
28%         (requested) .Var1, .Var2....: variables (Matlab arrays) with names listed in .ListVarName
29
30%            Variable attribute .Role :
31%    The only variable attribute used for plotting purpose is .Role which can take
32%    the values
33%       Role = 'scalar':  (default) represents a scalar field
34%            = 'coord_x', 'coord_y',  'coord_z': represents a separate set of
35%                        unstructured coordinate x, y  or z
36%            = 'vector': represents a vector field whose number of components
37%                is given by the last dimension (called 'nb_dim')
38%            = 'vector_x', 'vector_y', 'vector_z'  :represents the x, y or z  component of a vector 
39%            = 'warnflag' : provides a warning flag about the quality of data in a 'Field', default=0, no warning
40%            = 'errorflag': provides an error flag marking false data,
41%                   default=0, no error. Different non zero values can represent different criteria of elimination.
42%
43%
44%         additional elements characterizing the projection object (should not be necessary)--
45%            Data.Style : style of projection object
46%            Data.XObject,.YObject: set of coordinates defining the object position;
47%            Data.ProjMode=type of projection ;
48%            Data.ProjAngle=angle of projection;
49%            Data.DX,.DY,.DZ=increments;
50%            Data.MaxY,MinY: min and max Y
51
52%   haxes: handle of the plotting axes to update with the new plot. If this input is absent or not a valid axes handle, a new figure is created.
53%
54%   PlotParam: parameters for plotting, as read on the uvmat interface (by function 'read_plot_param.m')
55%     .FixedLimits:=0 (default) adjust axes limit to the X,Y data, =1: preserves the previous axes limits
56%     .Auto_xy: =0 (default): kepp 1 to 1 aspect ratio for x and y scales, =1: automatic adjustment of the graph
57%            --scalars--
58%    .Scalar.MaxA: upper bound (saturation color) for the scalar representation, max(field) by default
59%    .Scalar.MinA: lower bound (saturation) for the scalar representation, min(field) by default
60%    .Scalar.AutoScal: =1 (default) lower and upper bounds of the scalar representation set to the min and max of the field
61%               =0 lower and upper bound imposed by .AMax and .MinA
62%    .Scalar.BW= 1 black and white representation imposed, =0 by default.
63%    .Scalar.Contours= 1: represent scalars by contour plots (Matlab function 'contour'); =0 by default
64%    .IncrA : contour interval
65%            -- vectors--
66%    .Vectors.VecScale: scale for the vector representation
67%    .Vectors.AutoVec: =0 (default) automatic length for vector representation, =1: length set by .VecScale
68%    .Vectors.HideFalse= 0 (default) false vectors represented in magenta, =1: false vectors not represented;
69%    .Vectors.HideWarning= 0 (default) vectors marked by warnflag~=0 marked in black, 1: no warning representation;
70%    .Vectors.decimate4 = 0 (default) all vectors reprtesented, =1: half of  the vectors represented along each coordinate
71%         -- vector color--
72%    .Vectors.ColorCode= 'black','white': imposed color  (default ='blue')
73%                        'rgb', : three colors red, blue, green depending
74%                        on thresholds .colcode1 and .colcode2 on the input  scalar value (C)
75%                        'brg': like rgb but reversed color order (blue, green, red)
76%                        '64 colors': continuous color from blue to red (multijet)
77%    .Vectors.colcode1 : first threshold for rgb, first value for'continuous'
78%    .Vectors.colcode2 : second threshold for rgb, last value (saturation) for 'continuous'
79%    .Vectors.FixedCbounds;  =0 (default): the bounds on C representation are min and max, =1: they are fixed by .Minc and .MaxC
80%    .Vectors.MinC = imposed minimum of the scalar field used for vector color;
81%    .Vectors.MaxC = imposed maximum of the scalar field used for vector color;
82%
83%
84% PosColorbar: if not empty, display a colorbar for B&W images
85%               imposed position of the colorbar (ex [0.821 0.471 0.019 0.445])
86
87%AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA
88%  Copyright Joel Sommeria, 2008, LEGI / CNRS-UJF-INPG, sommeria@coriolis-legi.org.
89%AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA
90%     This file is part of the toolbox UVMAT.
91%
92%     UVMAT is free software; you can redistribute it and/or modify
93%     it under the terms of the GNU General Public License as published by
94%     the Free Software Foundation; either version 2 of the License, or
95%     (at your option) any later version.
96%
97%     UVMAT is distributed in the hope that it will be useful,
98%     but WITHOUT ANY WARRANTY; without even the implied warranty of
99%     MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
100%     GNU General Public License (file UVMAT/COPYING.txt) for more details.
101%AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA
102
103function [PlotType,PlotParamOut,haxes]= plot_field(Data,haxes,PlotParam,htext,PosColorbar)
104% TODO:
105% use htext: handles of the text edit box (uicontrol)
106% introduce PlotParam.Hold: 'on' or 'off' (for curves)
107 
108%default output
109if ~exist('PlotParam','var'),PlotParam=[];end;
110if ~exist('htext','var'),htext=[];end;
111if ~exist('PosColorbar','var'),PosColorbar=[];end;
112PlotType='text'; %default
113PlotParamOut=PlotParam;%default
114
115% check input structure
116[Data,errormsg]=check_field_structure(Data);
117
118if ~isempty(errormsg)
119    msgbox_uvmat('ERROR',['input of plot_field/check_field_structure: ' errormsg])
120    display(['input of plot_field/check_field_structure:: ' errormsg])
121    return
122end
123
124testnewfig=1;%test to create a new figure (default)
125testzoomaxes=0;%test for the existence of a zoom secondary figure attached to the plotting axes
126if exist('haxes','var')
127    if ishandle(haxes)
128        if isequal(get(haxes,'Type'),'axes')
129            axes(haxes)
130            testnewfig=0;
131            AxeData=get(haxes,'UserData');
132            if isfield(AxeData,'ZoomAxes')&& ishandle(AxeData.ZoomAxes)
133                if isequal(get(AxeData.ZoomAxes,'Type'),'axes')
134                    testzoomaxes=1;
135                    zoomaxes=AxeData.ZoomAxes;
136                end
137            end
138        end
139    end
140end
141if testnewfig% create a new figure and axes if the plotting axes does not exist
142    hfig=figure;
143    if isfield(Data,'IndexObj') && isfield(Data,'Style') && isfield(Data,'ProjMode')
144        figname=[num2str(Data.IndexObj) '-' Data.Style];
145        set(hfig,'Name',figname)
146    end
147%     testhandle=0;
148    if isfield(PlotParam,'text_display_1') && ishandle(PlotParam.text_display_1)
149        set(hfig,'UserData',PlotParam)
150%         testhandle=1;
151    end
152    set(hfig,'Units','normalized')
153    set(hfig,'WindowButtonDownFcn','mouse_down')
154    %set(hfig,'WindowButtonMotionFcn',{'mouse_motion',PlotParam})%set mouse action function
155    set(hfig,'WindowButtonMotionFcn','mouse_motion')%set mouse action function
156    set(hfig,'WindowButtonUpFcn','mouse_up')%set mouse action function
157    haxes=axes;
158    set(haxes,'position',[0.13,0.2,0.775,0.73])
159else
160    hstack=findobj(allchild(0),'Type','figure');%current stack order of figures in matlab
161end
162if isfield(PlotParam,'text_display_1') && ishandle(PlotParam.text_display_1)
163    PlotParam=read_plot_param(PlotParam);   
164end
165if testnewfig
166  PlotParam.NextPlot='add'; %parameter for plot_profile and plot_hist
167end
168if isfield(PlotParam,'Auto_xy') && isequal(PlotParam.Auto_xy,1)
169    set(haxes,'DataAspectRatioMode','auto')%automatic aspect ratio
170end
171
172% check the cells of fields :
173% testnbdim=1;
174[CellVarIndex,NbDim,VarType,errormsg]=find_field_indices(Data);
175
176if ~isempty(errormsg)
177    msgbox_uvmat('ERROR',['input of plot_field/find_field_indices: ' errormsg])
178    display(['input of plot_field: ' errormsg])
179    return
180end
181if ~isfield(Data,'NbDim') %& ~isfield(Data,'Style')%determine the space dimensionb if not defined: choose the kind of plot
182    [Data.NbDim]=max(NbDim);
183end
184if isequal(Data.NbDim,0)
185        AxeData=plot_text(Data,htext);
186        PlotType='text';
187elseif isequal(Data.NbDim,1)
188    [AxeData,haxes]=plot_profile(Data,CellVarIndex,VarType,haxes,PlotParam);%
189    if testzoomaxes
190        [AxeData,zoomaxes,PlotParamOut]=plot_profile(Data,CellVarIndex,VarType,zoomaxes,PlotParam);
191        AxeData.ZoomAxes=zoomaxes;
192    end
193    PlotType='line';
194elseif isequal(Data.NbDim,2)
195    ind_select=find(NbDim>=2);
196    if numel(ind_select)>2
197        msgbox_uvmat('ERROR','more than two fields to map')
198        display('more than two fields to map')
199        return
200    end
201    [AxeData,haxes,PlotParamOut,PlotType]=plot_plane(Data,CellVarIndex(ind_select),VarType(ind_select),haxes,PlotParam,htext,PosColorbar);
202    if testzoomaxes
203        [AxeData,zoomaxes,PlotParamOut]=plot_plane(Data,CellVarIndex(ind_select),VarType(ind_select),zoomaxes,PlotParam,1,PosColorbar);
204        AxeData.ZoomAxes=zoomaxes;
205    end
206elseif isequal(Data.NbDim,3)
207    msgbox_uvmat('ERROR','volume plot not implemented yet')
208    return
209% else
210%     testnbdim=0;
211end
212
213%display (or delete) error message
214htext=findobj(haxes,'Tag','hTxt');
215if isfield(Data,'Txt')
216    if isempty(htext)
217        Xlim=get(haxes,'XLim');
218        Ylim=get(haxes,'YLim');
219        htext=text(Xlim(1),(Ylim(1)+Ylim(2))/2,Data.Txt,'Tag','hTxt','Color','r');
220        set(htext,'Interpreter','none')
221    else
222        set(htext,'String',Data.Txt)
223    end
224elseif ~isempty(htext)
225    delete(htext)
226end
227
228% set graph aspect ratio
229
230
231set(haxes,'UserData',AxeData)
232if ~testnewfig
233set(0,'Children',hstack);%put back the initial figure stack after plot creation
234%set(haxes,'Tag','uvmat');
235end
236
237
238%-------------------------------------------------------------------
239function hdisplay=plot_text(FieldData,hdisplay_in)
240%-------------------------------------------------------------------
241if exist('hdisplay_in','var') && ishandle(hdisplay_in) && isequal(get(hdisplay_in,'Type'),'uicontrol')
242    hdisplay=hdisplay_in;
243else
244    figure;%create new figure
245    hdisplay=uicontrol('Style','edit', 'Units','normalized','Position', [0 0 1 1],'Max',2,'FontName','monospaced');
246end
247   
248ff=fields(FieldData);%list of field names
249vv=struct2cell(FieldData);%list of field values
250
251for icell=1:length(vv)
252    Tabcell{icell,1}=ff{icell};
253    ss=vv{icell};
254    sizss=size(ss);
255    if isnumeric(ss)
256        if sizss(1)<=1 && length(ss)<5
257            displ{icell}=num2str(ss);
258        else
259            displ{icell}=[class(ss) ', size ' num2str(size(ss))];
260        end
261    elseif ischar(ss)
262        displ{icell}=ss;
263    elseif iscell(ss)
264        sizcell=size(ss);
265        if sizcell(1)==1 && length(sizcell)==2 %line cell
266           ssline='{''';
267           for icolumn=1:sizcell(2)
268               if isnumeric(ss{icolumn})
269                   if size(ss{icolumn},1)<=1 && length(ss{icolumn})<5
270                      sscolumn=num2str(ss{icolumn});%line vector
271                   else
272                      sscolumn=[class(ss{icolumn}) ', size ' num2str(size(ss{icolumn}))];
273                   end
274               elseif ischar(ss{icolumn})
275                   sscolumn=ss{icolumn};
276               else
277                   sscolumn=class(ss{icolumn});
278               end
279               if icolumn==1
280                   ssline=[ssline sscolumn];
281               else
282                   ssline=[ssline ''',''' sscolumn];
283               end
284           end
285           displ{icell}=[ssline '''}'];
286        else
287           displ{icell}=[class(ss) ', size ' num2str(sizcell)];
288        end
289    else
290        displ{icell}=class(ss);
291    end
292    Tabcell{icell,2}=displ{icell};
293end
294Tabchar=cell2tab(Tabcell,': ');
295set(hdisplay,'String', Tabchar)
296
297
298%-------------------------------------------------------------------
299function [AxeData,haxes]=plot_profile(data,CellVarIndex,VarType,haxes,PlotParam)
300%-------------------------------------------------------------------
301%axes(haxes)
302hfig=get(haxes,'parent');
303AxeData=data;
304
305ColorOrder=[1 0 0;0 0.5 0;0 0 1;0 0.75 0.75;0.75 0 0.75;0.75 0.75 0;0.25 0.25 0.25];
306set(haxes,'ColorOrder',ColorOrder)
307if isfield(PlotParam,'NextPlot')
308    set(haxes,'NextPlot',PlotParam.NextPlot)
309end
310% adjust the size of the plot to include the whole field,
311if isfield(PlotParam,'FixedLimits') && isequal(PlotParam.FixedLimits,1)  %adjust the graph limits*
312    set(haxes,'XLimMode', 'manual')
313    set(haxes,'YLimMode', 'manual')
314else
315    set(haxes,'XLimMode', 'auto')
316    set(haxes,'YLimMode', 'auto')
317end
318legend_str={};
319
320%initiates string of the plot command
321plotstr='hhh=plot(';
322textmean={};
323% abscissa_name='';
324coord_x_index=[];
325test_newplot=1;
326% hh=findobj(haxes,'tag','plot_line');
327% num_curve=numel(hh);
328% icurve=0;
329for icell=1:length(CellVarIndex)
330    testfalse=0;
331    VarIndex=CellVarIndex{icell};%  indices of the selected variables in the list data.ListVarName
332    DimCell=data.VarDimName{VarIndex(1)};
333    if ischar(DimCell)
334        DimCell={DimCell};
335    end
336    XName=DimCell{1}; %first dimension considered as abscissa
337    if ~isempty(VarType{icell}.coord_x)
338        coord_x_index=VarType{icell}.coord_x;
339    else
340        coord_x_index_cell=VarType{icell}.coord(1);
341        if isequal(coord_x_index_cell,0)
342            continue  % the cell has no abscissa, skip it
343        end
344        if ~isempty(coord_x_index)&&~isequal(coord_x_index_cell,coord_x_index)
345            continue %all the selected variables must have the same first dimension
346        else
347            coord_x_index=coord_x_index_cell;
348        end
349    end
350    testplot=ones(size(data.ListVarName));%default test for plotted variables
351    testcoordvar=0;
352    charplot_0='''-''';%default
353    if isfield(data,'ObjectProjMode')&& isequal(data.ObjectProjMode,'projection')
354        charplot_0='+';
355    end
356    xtitle=''; 
357   
358    xtitle=data.ListVarName{coord_x_index};
359    eval(['coord_x{icell}=data.' data.ListVarName{coord_x_index} ';']);%coordinate variable set as coord_x
360    if isfield(data,'VarAttribute')&& numel(data.VarAttribute)>=coord_x_index && isfield(data.VarAttribute{coord_x_index},'units')
361         xtitle=[xtitle '(' data.VarAttribute{coord_x_index}.units ')'];
362    end
363    eval(['coord_x{icell}=data.' data.ListVarName{coord_x_index} ';']);%coordinate variable set as coord_x
364%     testcoordvar=1;
365    testplot(coord_x_index)=0;
366    if ~isempty(VarType{icell}.ancillary')
367            testplot(VarType{icell}.ancillary)=0;
368    end
369    if ~isempty(VarType{icell}.warnflag')
370            testplot(VarType{icell}.warnflag)=0;
371    end
372 
373    if isfield(data,'VarAttribute')
374        VarAttribute=data.VarAttribute;
375        for ivar=1:length(VarIndex)
376             if length(VarAttribute)>=VarIndex(ivar) && isfield(VarAttribute{VarIndex(ivar)},'long_name')
377                 plotname{VarIndex(ivar)}=VarAttribute{VarIndex(ivar)}.long_name;
378             else
379                 plotname{VarIndex(ivar)}=data.ListVarName{VarIndex(ivar)};%name for display in plot A METTRE
380             end
381        end
382    end 
383%     test_newplot=0;%default
384%     if num_curve>=icurve+numel(find(testplot(VarIndex)))%update existing curves
385%         if ~isempty(VarType{icell}.discrete')
386%             charplot_0='+';
387%             LineStyle='none';
388%         else
389%             charplot_0='none';
390%             LineStyle='-';
391%         end
392%         for ivar=1:length(VarIndex)
393%             if testplot(VarIndex(ivar))
394%                 icurve=icurve+1;
395%                 VarName=data.ListVarName{VarIndex(ivar)};
396%                 eval(['data.' VarName '=squeeze(data.' VarName ');'])
397%                 set(hh(icurve),'LineStyle',LineStyle)
398%                 set(hh(icurve),'Marker',charplot_0)
399%                 set(hh(icurve),'XData',coord_x{icell})
400%                 eval(['yy=data.' VarName ';'])
401%                 set(hh(icurve),'YData',yy);
402%             end
403%         end
404%     else% new plot
405        if ~isempty(VarType{icell}.discrete')
406            charplot_0='''+''';
407        else
408            charplot_0='''-''';
409        end
410        for ivar=1:length(VarIndex)
411            if testplot(VarIndex(ivar))
412                VarName=data.ListVarName{VarIndex(ivar)};
413                eval(['data.' VarName '=squeeze(data.' VarName ');'])
414%                 if isequal(VarName,'A')
415%                     charplot='''-''';
416%                 else
417%                     charplot=charplot_0;
418%                 end
419                plotstr=[plotstr 'coord_x{' num2str(icell) '},data.' VarName ',' charplot_0 ','];
420                eval(['nbcomponent2=size(data.' VarName ',2);']);
421                eval(['nbcomponent1=size(data.' VarName ',1);']);
422                if numel(coord_x{icell})==2
423                    coord_x{icell}=linspace(coord_x{icell}(1),coord_x{icell}(2),nbcomponent1);
424                end
425                eval(['varmean=mean(double(data.' VarName '));']);%mean value
426                textmean=[textmean; {[VarName 'mean= ' num2str(varmean,4)]}];
427                if nbcomponent1==1|| nbcomponent2==1
428                    legend_str=[legend_str {VarName}]; %variable with one component
429                else  %variable with severals  components
430                    for ic=1:min(nbcomponent1,nbcomponent2)
431                        legend_str=[legend_str [VarName '_' num2str(ic)]]; %variable with severals  components
432                    end                                                   % labeled by their index (e.g. color component)
433                end
434            end
435        end
436%     end
437end
438if test_newplot && ~isequal(plotstr,'hhh=plot(')
439    plotstr=[plotstr '''tag'',''plot_line'');'];
440                %execute plot (instruction  plotstr) 
441    eval(plotstr)
442   
443                %%%%%
444    grid(haxes, 'on')
445    hxlabel=xlabel(xtitle);
446    set(hxlabel,'Interpreter','none')% desable tex interpreter
447    if length(legend_str)>=1
448        hylabel=ylabel(legend_str{end});
449        set(hylabel,'Interpreter','none')% desable tex interpreter
450    end
451    if ~isempty(legend_str)
452        hlegend=findobj(hfig,'Tag','legend');
453        if isempty(hlegend)
454            hlegend=legend(legend_str);
455            txt=ver;
456            Release=txt(1).Release;
457            relnumb=str2num(Release(3:4));
458            if relnumb >= 14
459                set(hlegend,'Interpreter','none')% desable tex interpreter
460            end
461        else
462            legend_old=get(hlegend,'String');
463            if isequal(size(legend_old,1),size(legend_str,1))&&~isequal(legend_old,legend_str)
464                set(hlegend,'String',[legend_old legend_str]);
465            end
466        end
467    end
468    title_str='';
469    if isfield(data,'filename')
470       [Path, title_str, ext]=fileparts(data.filename);
471       title_str=[title_str ext];
472    end
473    if isfield(data,'Action')
474        if ~isequal(title_str,'')
475            title_str=[title_str ', '];
476        end
477        title_str=[title_str data.Action];
478    end
479    htitle=title(title_str);
480    txt=ver;
481    Release=txt(1).Release;
482    relnumb=str2num(Release(3:4));
483    if relnumb >= 14
484        set(htitle,'Interpreter','none')% desable tex interpreter
485    end
486    % A REPRENDRE Mean
487%         hlist=findobj(gcf,'Style','listbox','Tag','liststat');
488%         if isempty(hlist)
489%             'text'
490%             textmean
491%             set(gca,'position',[0.13,0.2,0.775,0.73])
492%             uicontrol('Style','popupmenu','Position',[20 20 200 20],'String',textmean,'Tag','liststat');
493%         else
494%             set(hlist(1),'String',textmean)
495%         end
496end
497
498
499%-------------------------------------------------------------------
500function [AxeData,haxes,PlotParamOut,PlotType]=plot_plane(Data,CellVarIndex,VarTypeCell,haxes,PlotParam,htext,PosColorbar)
501%-------------------------------------------------------------------
502grid(haxes, 'off')
503%default plotting parameters
504PlotType='plane';%default
505if ~exist('PlotParam','var')
506    PlotParam=[];
507end
508if ~isfield(PlotParam,'Scalar')
509    PlotParam.Scalar=[];
510end
511if ~isfield(PlotParam,'Vectors')
512    PlotParam.Vectors=[];
513end
514PlotParamOut=PlotParam;%default
515
516%plotting axes
517hfig=get(haxes,'parent');
518hcol=findobj(hfig,'Tag','Colorbar'); %look for colorbar axes
519hima=findobj(haxes,'Tag','ima');% search existing image in the current axes
520AxeData=get(haxes,'UserData'); %default
521if ~isstruct(AxeData)% AxeData must be a structure
522    AxeData=[];
523end
524AxeData.NbDim=2;
525if isfield(Data,'ObjectCoord')
526    AxeData.ObjectCoord=Data.ObjectCoord;
527end
528
529test_ima=0; %default: test for image or map plot
530test_vec=0; %default: test for vector plots
531test_black=0;
532test_false=0;
533test_C=0;
534XName='';
535x_units='';
536YName='';
537y_units='';
538for icell=1:length(CellVarIndex) % length(CellVarIndex) =1 or 2 (from the calling function)
539    VarType=VarTypeCell{icell};
540    ivar_X=VarType.coord_x; % defines (unique) index for the variable representing unstructured x coordinate (default =[])
541    ivar_Y=VarType.coord_y; % defines (unique)index for the variable representing unstructured y coordinate (default =[])
542    ivar_U=VarType.vector_x; % defines (unique) index for the variable representing x vector component (default =[])
543    ivar_V=VarType.vector_y; % defines (unique) index for the variable representing y vector component (default =[])
544    ivar_C=[VarType.scalar VarType.image VarType.color VarType.ancillary]; %defines index (indices) for the scalar or ancillary fields
545    if numel(ivar_C)>1
546        msgbox_uvmat('ERROR','error in plot_field: too many scalar inputs')
547        return
548    end
549    ivar_F=VarType.warnflag; %defines index (unique) for warning flag variable
550    ivar_FF=VarType.errorflag; %defines index (unique) for error flag variable
551    ind_coord=find(VarType.coord);
552    if numel(ind_coord)==2
553        VarType.coord=VarType.coord(ind_coord);
554    end
555%     idim_Y=[]; 
556    test_grid=0;
557    if ~isempty(ivar_U) && ~isempty(ivar_V)% vector components detected
558        if test_vec
559            msgbox_uvmat('ERROR','error in plot_field: attempt to plot two vector fields')
560            return
561        else
562            test_vec=1;
563            eval(['vec_U=Data.' Data.ListVarName{ivar_U} ';'])
564            eval(['vec_V=Data.' Data.ListVarName{ivar_V} ';'])
565            if ~isempty(ivar_X) && ~isempty(ivar_Y)% 2D field (with unstructured coordinates or structured ones (then ivar_X and ivar_Y empty)     
566                eval(['vec_X=Data.' Data.ListVarName{ivar_X} ';'])
567                eval(['vec_Y=Data.' Data.ListVarName{ivar_Y} ';'])
568            elseif numel(VarType.coord)==2 & VarType.coord~=[0 0];%coordinates defines by dimension variables
569                eval(['y=Data.' Data.ListVarName{VarType.coord(1)} ';'])
570                eval(['x=Data.' Data.ListVarName{VarType.coord(2)} ';'])
571                if numel(y)==2 % y defined by first and last values on aregular mesh
572                    y=linspace(y(1),y(2),size(vec_U,1));
573                end
574                if numel(x)==2 % y defined by first and last values on aregular mesh
575                    x=linspace(x(1),x(2),size(vec_U,2));
576                end
577                [vec_X,vec_Y]=meshgrid(x,y); 
578            else
579                msgbox_uvmat('ERROR','error in plot_field: invalid coordinate definition for vector field')
580                return
581            end
582            if ~isempty(ivar_C)
583                 eval(['vec_C=Data.' Data.ListVarName{ivar_C} ';']) ;
584                 vec_C=reshape(vec_C,1,numel(vec_C));
585                 test_C=1;
586            end
587            if ~isempty(ivar_F)%~(isfield(PlotParam.Vectors,'HideWarning')&& isequal(PlotParam.Vectors.HideWarning,1))
588                if test_vec
589                    eval(['vec_F=Data.' Data.ListVarName{ivar_F} ';']) % warning flags for  dubious vectors
590                    if  ~(isfield(PlotParam.Vectors,'HideWarning') && isequal(PlotParam.Vectors.HideWarning,1))
591                        test_black=1;
592                    end
593                end
594            end
595            if ~isempty(ivar_FF) %&& ~test_false
596                if test_vec% TODO: deal with FF for structured coordinates
597                    eval(['vec_FF=Data.' Data.ListVarName{ivar_FF} ';']) % flags for false vectors
598                end
599            end
600        end
601    elseif ~isempty(ivar_C) %scalar or image
602        if test_ima
603             msgbox_uvmat('ERROR','attempt to plot two scalar fields or images')
604            return
605        end
606        eval(['A=squeeze(Data.' Data.ListVarName{ivar_C} ');']) ;% scalar represented as color image
607        test_ima=1;
608        if ~isempty(ivar_X) && ~isempty(ivar_Y)% 2D field (with unstructured coordinates or structured ones (then ivar_X and ivar_Y empty)
609            XName=Data.ListVarName{ivar_X};
610            YName=Data.ListVarName{ivar_Y};
611            eval(['AX=Data.' XName ';'])
612            eval(['AY=Data.' YName ';'])
613            [A,AX,AY]=proj_grid(AX',AY',A',[],[],'np>256');  % interpolate on a grid 
614            if isfield(Data,'VarAttribute')
615                if numel(Data.VarAttribute)>=ivar_X && isfield(Data.VarAttribute{ivar_X},'units')
616                    x_units=['(' Data.VarAttribute{ivar_X}.units ')'];
617                end
618                if numel(Data.VarAttribute)>=ivar_Y && isfield(Data.VarAttribute{ivar_Y},'units')
619                    y_units=['(' Data.VarAttribute{ivar_Y}.units ')'];
620                end
621            end       
622        elseif numel(VarType.coord)==2 %structured coordinates
623            XName=Data.ListVarName{VarType.coord(2)};
624            YName=Data.ListVarName{VarType.coord(1)};
625            eval(['AY=Data.' Data.ListVarName{VarType.coord(1)} ';'])
626            eval(['AX=Data.' Data.ListVarName{VarType.coord(2)} ';'])
627            test_interp_X=0; %default, regularly meshed X coordinate
628            test_interp_Y=0; %default, regularly meshed Y coordinate
629            if isfield(Data,'VarAttribute')
630                if numel(Data.VarAttribute)>=VarType.coord(2) && isfield(Data.VarAttribute{VarType.coord(2)},'units')
631                    x_units=['(' Data.VarAttribute{VarType.coord(2)}.units ')'];
632                end
633                if numel(Data.VarAttribute)>=VarType.coord(1) & isfield(Data.VarAttribute{VarType.coord(1)},'units')
634                    y_units=['(' Data.VarAttribute{VarType.coord(1)}.units ')'];
635                end
636            end 
637            if numel(AY)>2
638                DAY=diff(AY);
639                DAY_min=min(DAY);
640                DAY_max=max(DAY);
641                if sign(DAY_min)~=sign(DAY_max);% =1 for increasing values, 0 otherwise
642                     errormsg=['errror in plot_field.m: non monotonic dimension variable # ' ListVarName{VarType.coord(1)} ];
643                      return
644                end
645                test_interp_Y=(DAY_max-DAY_min)> 0.0001*abs(DAY_max);
646            end
647            if numel(AX)>2
648                DAX=diff(AX);
649                DAX_min=min(DAX);
650                DAX_max=max(DAX);
651                if sign(DAX_min)~=sign(DAX_max);% =1 for increasing values, 0 otherwise
652                     errormsg=['errror in plot_field.m: non monotonic dimension variable # ' ListVarName{VarType.coord(2)} ];
653                      return
654                end
655                test_interp_X=(DAX_max-DAX_min)> 0.0001*abs(DAX_max);
656            end 
657            if test_interp_Y         
658                npxy(1)=max([256 floor((AY(end)-AY(1))/DAY_min) floor((AY(end)-AY(1))/DAY_max)]);
659                yI=linspace(AY(1),AY(end),npxy(1));
660                if ~test_interp_X
661                    xI=linspace(AX(1),AX(end),size(A,2));%default
662                    AX=xI;
663                end
664            end
665            if test_interp_X 
666                npxy(1)=max([256 floor((AX(end)-AX(1))/DAX_min) floor((AX(end)-AX(1))/DAX_max)]);
667                xI=linspace(AX(1),AX(end),npxy(2));   
668                if ~test_interp_Y
669                   yI=linspace(AY(1),AY(end),size(A,1));
670                   AY=yI;
671                end
672            end
673            if test_interp_X || test_interp_Y               
674                [AX2D,AY2D]=meshgrid(AX,AY);
675                A=interp2(AX2D,AY2D,double(A),xI,yI');
676            end
677            AX=[AX(1) AX(end)];% keep only the lower and upper bounds for image represnetation
678            AY=[AY(1) AY(end)];
679        else
680            msgbox_uvmat('ERROR','error in plot_field: invalid coordinate definition ')
681            return
682        end
683          x_label=[Data.ListVarName{ivar_X} '(' x_units ')'];
684    end       
685%     if isfield(Data,'VarAttribute')
686%         VarAttribute=Data.VarAttribute;
687%     end   
688end
689
690%%%%%%%%%%%%%%%%%%%%%   image or scalar plot %%%%%%%%%%%%%%%%%%%%%%%%%%
691
692if ~isfield(PlotParam.Scalar,'Contours')
693    PlotParam.Scalar.Contours=0; %default
694end
695PlotParamOut=PlotParam; %default
696if test_ima
697    % distinguish B/W and color images
698    np=size(A);%size of image
699    siz=numel(np);
700    if siz>3
701        msgbox_uvmat('ERROR','unrecognized scalar type ')
702            return
703    end
704    if siz==3
705        if np(3)==1
706            siz=2;%B W image
707        elseif np(3)==3
708            siz=3;%color image
709        else
710             msgbox_uvmat('ERROR',['unrecognized scalar type: ' num2str(np(3)) ' color components'])
711            return
712        end
713    end
714    %set the color map
715    if isfield(PlotParam.Scalar,'BW')
716        BW=PlotParam.Scalar.BW; %test for BW gray scale images
717    else
718        BW=(siz==2) && (isa(A,'uint8')|| isa(A,'uint16'));% non color images represented in gray scale by default
719    end
720    if siz==2 %for black and white images
721        if ~isfield(PlotParam.Scalar,'AutoScal')
722            PlotParam.Scalar.AutoScal=0;%default
723        end
724        if ~isfield(PlotParam.Scalar,'MinA')
725            PlotParam.Scalar.MinA=[];%default
726        end
727        if ~isfield(PlotParam.Scalar,'MaxA')
728            PlotParam.Scalar.MaxA=[];%default
729        end
730        if isequal(PlotParam.Scalar.AutoScal,0)|isempty(PlotParam.Scalar.MinA)|~isa(PlotParam.Scalar.MinA,'double')  %correct if there is no numerical data in edit box
731            MinA=double(min(min(A)));
732        else
733            MinA=PlotParam.Scalar.MinA; 
734        end;
735        if isequal(PlotParam.Scalar.AutoScal,0)||isempty(PlotParam.Scalar.MaxA)||~isa(PlotParam.Scalar.MaxA,'double') %correct if there is no numerical data in edit box
736            MaxA=double(max(max(A)));
737        else
738            MaxA=PlotParam.Scalar.MaxA; 
739        end;
740        PlotParamOut.Scalar.MinA=MinA;
741        PlotParamOut.Scalar.MaxA=MaxA;
742        axes(haxes)
743        if isequal(PlotParam.Scalar.Contours,1)
744            if ~isempty(hima) & ishandle(hima)
745                delete(hima)
746            end
747            if ~isfield(PlotParam.Scalar,'IncrA')
748                PlotParam.Scalar.IncrA=NaN;
749            end
750            if isnan(PlotParam.Scalar.IncrA)% | PlotParam.Scalar.AutoScal==0
751                cont=colbartick(MinA,MaxA);
752                intercont=cont(2)-cont(1);%default
753                PlotParamOut.Scalar.IncrA=intercont;
754            else
755               intercont=PlotParam.Scalar.IncrA;
756            end
757            B=A;           
758            abscontmin=intercont*floor(MinA/intercont);
759            abscontmax=intercont*ceil(MaxA/intercont);
760            contmin=intercont*floor(min(min(B))/intercont);
761            contmax=intercont*ceil(max(max(B))/intercont);
762            cont_pos_plus=0:intercont:contmax;
763            cont_pos_min=double(contmin):intercont:-intercont;
764            cont_pos=[cont_pos_min cont_pos_plus];
765            sizpx=(AX(end)-AX(1))/(np(2)-1);
766            sizpy=(AY(1)-AY(end))/(np(1)-1);
767            x_cont=AX(1):sizpx:AX(end); % pixel x coordinates for image display
768            y_cont=AY(1):-sizpy:AY(end); % pixel x coordinates for image display
769            txt=ver;%version of Matlab
770            Release=txt(1).Release;
771            relnumb=str2num(Release(3:4));
772            if relnumb >= 14
773                    vec=linspace(0,1,(abscontmax-abscontmin)/intercont);%define a greyscale colormap with steps intercont
774                map=[vec' vec' vec'];
775                colormap(map);
776                [var,hcontour]=contour(x_cont,y_cont,B,cont_pos);       
777                set(hcontour,'Fill','on')
778                set(hcontour,'LineStyle','none')
779                hold on
780            end
781            [var_p,hcontour_p]=contour(x_cont,y_cont,B,cont_pos_plus,'k-');
782            hold on
783            [var_m,hcontour_m]=contour(x_cont,y_cont,B,cont_pos_min,':');
784            set(hcontour_m,'LineColor',[1 1 1])
785            hold off
786            caxis([abscontmin abscontmax])
787            colormap(map);
788        end
789        if ~isequal(PlotParam.Scalar.Contours,1) 
790            % rescale the grey levels with min and max, put a grey scale colorbar
791            if BW
792                B=A;
793                vec=linspace(0,1,255);%define a linear greyscale colormap
794                map=[vec' vec' vec'];
795                colormap(map);  %grey scale color map
796            else
797                B=A;
798                colormap('default'); % standard faulse colors for div, vort , scalar fields
799            end
800        end
801    else %color images
802        axes(haxes)
803        if BW
804            B=uint16(sum(A,3));
805        else
806            B=uint8(A);
807        end
808        MinA=0;
809        MaxA=255;
810    end
811    if ~isequal(PlotParam.Scalar.Contours,1)
812        %interpolate to increase resolution
813        test_interp=1;
814        if max(np) <= 64
815            npxy=8*np;% increase the resolution 8 times
816        elseif max(np) <= 128
817            npxy=4*np;% increase the resolution 4 times
818        elseif max(np) <= 256
819            npxy=2*np;% increase the resolution 2 times
820        else
821            npxy=np;
822            test_interp=0; % no interpolation done
823        end
824        if test_interp==1%if we interpolate   
825            x=linspace(AX(1),AX(2),np(2));
826            y=linspace(AY(1),AY(2),np(1));
827            [X,Y]=meshgrid(x,y);
828            xi=linspace(AX(1),AX(2),npxy(2));
829            yi=linspace(AY(1),AY(2),npxy(1));
830            B = interp2(X,Y,double(B),xi,yi');
831        end       
832        if isempty(hima)
833            tag=get(haxes,'Tag');
834            hima=imagesc(AX,AY,B,[MinA MaxA]);
835            set(hima,'Tag','ima','HitTest','off')
836            set(haxes,'Tag',tag);%preserve the axes tag (removed by image fct !!!)       
837        else
838            set(hima,'CData',B);
839            if MinA<MaxA
840                caxis([MinA MaxA])
841            else
842                caxis([MinA MinA+1])
843            end
844            set(hima,'XData',AX);
845            set(hima,'YData',AY);
846        end
847    end
848    if ~isstruct(AxeData)
849        AxeData=[];
850    end
851    AxeData.A=A;
852    AxeData.AX=[AX(1) AX(end)];
853    AxeData.AY=[AY(1) AY(end)];
854    test_ima=1;
855    %display the colorbar code for B/W images if Poscolorbar not empty
856    if siz==2 && exist('PosColorbar','var')&& ~isempty(PosColorbar)
857        if isempty(hcol)||~ishandle(hcol)
858             hcol=colorbar;%create new colorbar
859        end
860        if length(PosColorbar)==4
861                 set(hcol,'Position',PosColorbar)           
862        end
863        YTick=0;%default
864        if MaxA>MinA
865            if isequal(PlotParam.Scalar.Contours,1)
866                colbarlim=get(hcol,'YLim');
867                scale_bar=(colbarlim(2)-colbarlim(1))/(abscontmax-abscontmin);               
868                YTick=cont_pos(2:end-1);
869                YTick_scaled=colbarlim(1)+scale_bar*(YTick-abscontmin);
870                set(hcol,'YTick',YTick_scaled);
871            elseif (isfield(PlotParam.Scalar,'BW') & isequal(PlotParam.Scalar.BW,1))|isa(A,'uint8')| isa(A,'uint16')%images
872                hi=get(hcol,'children');
873                if iscell(hi)%multiple images in colorbar
874                    hi=hi{1};
875                end
876                set(hi,'YData',[MinA MaxA])
877                set(hi,'CData',[1:256]')
878                set(hcol,'YLim',[MinA MaxA])
879                YTick=colbartick(MinA,MaxA);
880                set(hcol,'YTick',YTick)               
881            else
882                hi=get(hcol,'children');
883                if iscell(hi)%multiple images in colorbar
884                    hi=hi{1};
885                end
886                set(hi,'YData',[MinA MaxA])
887                set(hi,'CData',[1:64]')
888                YTick=colbartick(MinA,MaxA);
889                set(hcol,'YLim',[MinA MaxA])
890                set(hcol,'YTick',YTick)
891            end
892            set(hcol,'Yticklabel',num2str(YTick'));
893        end
894    elseif ishandle(hcol)
895        delete(hcol); %erase existing colorbar if not needed
896    end
897else%no scalar plot
898    if ~isempty(hima) && ishandle(hima)
899        delete(hima)
900    end
901    if ~isempty(hcol)&& ishandle(hcol)
902       delete(hcol)
903    end
904    AxeData.A=[];
905    AxeData.AX=[];
906    AxeData.AY=[];
907    PlotParamOut=rmfield(PlotParamOut,'Scalar');
908end
909
910%%%%%%%%%%%%%%%%%%%%%   vector plot %%%%%%%%%%%%%%%%%%%%%%%%%%
911if test_vec
912   %vector scale representation
913    if size(vec_U,1)==numel(vec_Y) && size(vec_U,2)==numel(vec_X); % x, y  coordinate variables
914        [vec_X,vec_Y]=meshgrid(vec_X,vec_Y);
915    end   
916    vec_X=reshape(vec_X,1,numel(vec_X));%reshape in matlab vectors
917    vec_Y=reshape(vec_Y,1,numel(vec_Y));
918    vec_U=reshape(vec_U,1,numel(vec_U));
919    vec_V=reshape(vec_V,1,numel(vec_V));
920    MinMaxX=max(vec_X)-min(vec_X);
921    MinMaxY=max(vec_Y)-min(vec_Y);
922    AxeData.Mesh=sqrt((MinMaxX*MinMaxY)/length(vec_X));
923    if  ~isfield(PlotParam.Vectors,'AutoVec') || isequal(PlotParam.Vectors.AutoVec,0)|| ~isfield(PlotParam.Vectors,'VecScale')...
924               ||isempty(PlotParam.Vectors.VecScale)||~isa(PlotParam.Vectors.VecScale,'double') %automatic vector scale
925        scale=[];
926        if test_false %remove false vectors
927            indsel=find(AxeData.FF==0);%indsel =indices of good vectors
928        else     
929            indsel=[1:numel(vec_X)];%
930        end
931        if isempty(vec_U)
932            scale=1;
933        else
934            if isempty(indsel)
935                MaxU=max(abs(vec_U));
936                MaxV=max(abs(vec_V));
937            else
938                MaxU=max(abs(vec_U(indsel)));
939                MaxV=max(abs(vec_V(indsel)));
940            end
941            scale=MinMaxX/(max(MaxU,MaxV)*50);
942            PlotParam.Vectors.VecScale=scale;%update the 'scale' display
943        end
944    else
945        scale=PlotParam.Vectors.VecScale;  %impose the length of vector representation
946    end;
947   
948    %record vectors on the plotting axes
949    if test_C==0
950        vec_C=ones(1,numel(vec_X));
951    end
952    AxeData.X=vec_X';
953    AxeData.Y=vec_Y';
954    AxeData.U=vec_U';
955    AxeData.V=vec_V';
956    AxeData.C=vec_C';
957    if isempty(ivar_F)
958        AxeData.F=[];
959    else
960        AxeData.F=vec_F';
961    end
962    if isempty(ivar_FF)
963        AxeData.FF=[];
964    else
965        AxeData.FF=vec_FF';
966    end
967%     if isfield(Data,'W')
968%         AxeData.W=Data.W;
969%     end
970   
971    %decimate by a factor 2 in vector mesh(4 in nbre of vectors)
972    if isfield(PlotParam.Vectors,'decimate4')&isequal(PlotParam.Vectors.decimate4,1)
973        diffy=diff(vec_Y); %difference dy=vec_Y(i+1)-vec_Y(i)
974        dy_thresh=max(abs(diffy))/2;
975        ind_jump=find(abs(diffy) > dy_thresh); %indices with diff(vec_Y)> max/2, detect change of line
976        ind_sel=1:ind_jump(1);%select the first line
977        for i=2:2:length(ind_jump)-1
978            ind_sel=[ind_sel [ind_jump(i)+1:ind_jump(i+1)]];% select the odd lines
979        end
980        nb_sel=length(ind_sel);
981        ind_sel=ind_sel(1:2:nb_sel);% take half the points on a line
982        vec_X=vec_X(ind_sel);
983        vec_Y=vec_Y(ind_sel);
984        vec_U=vec_U(ind_sel);
985        vec_V=vec_V(ind_sel);
986        vec_C=vec_C(ind_sel);
987        if ~isempty(ivar_F)
988           vec_F=vec_F(ind_sel);
989        end
990        if ~isempty(ivar_FF)
991           vec_FF=vec_FF(ind_sel);
992        end
993    end
994   
995    %get main level color code
996    [colorlist,col_vec,PlotParamOut.Vectors]=set_col_vec(PlotParam.Vectors,vec_C);
997    % take flags into account: add flag colors to the list of colors
998    sizlist=size(colorlist);
999    nbcolor=sizlist(1);
1000    if test_black
1001       nbcolor=nbcolor+1;
1002       colorlist(nbcolor,:)=[0 0 0]; %add black to the list of colors
1003       if ~isempty(ivar_FF)
1004            ind_flag=find(vec_F~=1 & vec_F~=0 & vec_FF==0);  %flag warning but not false
1005       else
1006            ind_flag=find(vec_F~=1 & vec_F~=0);
1007       end
1008       col_vec(ind_flag)=nbcolor;   
1009    end
1010    nbcolor=nbcolor+1;
1011    if ~isempty(ivar_FF)
1012        ind_flag=find(vec_FF~=0);
1013        if isfield(PlotParam.Vectors,'HideFalse') && PlotParam.Vectors.HideFalse==1
1014            colorlist(nbcolor,:)=[NaN NaN NaN];% no plot of false vectors
1015        else
1016            colorlist(nbcolor,:)=[1 0 1];% magenta color
1017        end
1018        col_vec(ind_flag)=nbcolor;
1019    end
1020    %plot vectors:
1021    quiresetn(haxes,vec_X,vec_Y,vec_U,vec_V,scale,colorlist,col_vec);   
1022
1023else
1024    hvec=findobj(haxes,'Tag','vel');
1025    if ~isempty(hvec)
1026        delete(hvec);
1027    end
1028    AxeData.X=[];
1029    AxeData.Y=[];
1030    AxeData.U=[];
1031    AxeData.V=[];
1032    AxeData.C=[];
1033    AxeData.W=[];
1034    AxeData.F=[];
1035     AxeData.FF=[];
1036    AxeData.Mesh=[];
1037    PlotParamOut=rmfield(PlotParamOut,'Vectors');
1038end
1039if isfield(Data,'Z')
1040    AxeData.Z=Data.Z;% A REVOIR
1041end
1042listfields={'AY','AX','A','X','Y','U','V','C','W','F','FF'};
1043listdim={'AY','AX',{'AY','AX'},'nb_vectors','nb_vectors','nb_vectors','nb_vectors','nb_vectors','nb_vectors','nb_vectors','nb_vectors'};
1044Role={'coord_y','coord_x','scalar','coord_x','coord_y','vector_x','vector_y','scalar','vector_z','warnflag','errorflag'};
1045ind_select=[];
1046nbvar=0;
1047AxeData.ListVarName={};
1048AxeData.VarDimName={};
1049AxeData.VarAttribute={};
1050for ilist=1:numel(listfields)
1051    eval(['testvar=isfield(AxeData,listfields{ilist}) && ~isempty(AxeData.' listfields{ilist} ');'])
1052    if testvar
1053        nbvar=nbvar+1;
1054        AxeData.ListVarName{nbvar}=listfields{ilist};
1055        AxeData.VarDimName{nbvar}=listdim{ilist};
1056        AxeData.VarAttribute{nbvar}.Role=Role{ilist};
1057    end
1058end
1059%store the coordinate extrema occupied by the field
1060test_lim=0;
1061if test_vec
1062    Xlim=[min(vec_X) max(vec_X)];
1063    Ylim=[min(vec_Y) max(vec_Y)];
1064    test_lim=1;
1065    if test_ima%both background image and vectors coexist, take the wider bound
1066        Xlim(1)=min(AX(1),Xlim(1));
1067        Xlim(2)=max(AX(end),Xlim(2));
1068        Ylim(1)=min(AY(end),Ylim(1));
1069        Ylim(2)=max(AY(1),Ylim(2));
1070    end
1071elseif test_ima %only image plot
1072    Xlim(1)=min(AX(1),AX(end));
1073    Xlim(2)=max(AX(1),AX(end));
1074    Ylim(1)=min(AY(1),AY(end));
1075    Ylim(2)=max(AY(1),AY(end));
1076    test_lim=1;
1077end
1078AxeData.RangeX=Xlim;
1079AxeData.RangeY=Ylim;
1080% adjust the size of the plot to include the whole field, except if PlotParam.FixedLimits=1
1081if ~(isfield(PlotParam,'FixedLimits') && PlotParam.FixedLimits) && test_lim
1082        if Xlim(2)>Xlim(1)
1083            set(haxes,'XLim',Xlim);% set x limits of frame in axes coordinates
1084        end
1085        if Ylim(2)>Ylim(1)
1086            set(haxes,'YLim',Ylim);% set y limits of frame in axes coordinate
1087        end
1088end
1089if ~(isfield(PlotParam,'Auto_xy') && isequal(PlotParam.Auto_xy,1))
1090     set(haxes,'DataAspectRatio',[1 1 1])
1091end
1092set(haxes,'YDir','normal')
1093set(get(haxes,'XLabel'),'String',[XName x_units]);
1094set(get(haxes,'YLabel'),'String',[YName y_units]);
1095
1096%-------------------------------------------------------------------
1097% --- function for plotting vectors
1098%INPUT:
1099% haxes: handles of the plotting axes
1100% x,y,u,v: vectors coordinates and vector components to plot, arrays withb the same dimension
1101% scale: scaling factor for vector length representation
1102% colorlist(icolor,:): list of vector colors, dim (nbcolor,3), depending on color #i
1103% col_vec: matlab vector setting the color number #i for each velocity vector
1104function quiresetn(haxes,x,y,u,v,scale,colorlist,col_vec)
1105%-------------------------------------------------------------------
1106%define arrows
1107theta=0.5 ;%angle arrow
1108alpha=0.3 ;%length arrow
1109rot=alpha*[cos(theta) -sin(theta); sin(theta) cos(theta)]';
1110%find the existing lines
1111%h=findobj(gca,'Type','Line');% search existing lines in the current axes
1112h=findobj(haxes,'Tag','vel');% search existing lines in the current axes
1113sizh=size(h);
1114set(h,'EraseMode','xor');
1115set(haxes,'NextPlot','replacechildren');
1116%htext=findobj('Tag','scalevec');
1117     
1118%drawnow
1119%create lines (if no lines) or modify them
1120if ~isequal(size(col_vec),size(x))
1121    col_vec=ones(size(x));% case of error in col_vec input
1122end
1123sizlist=size(colorlist);
1124ncolor=sizlist(1);
1125
1126for icolor=1:ncolor
1127    %determine the line positions for each color icolor
1128    ind=find(col_vec==icolor);
1129    xc=x(ind);
1130    yc=y(ind);
1131    uc=u(ind)*scale;
1132    vc=v(ind)*scale;
1133    n=size(xc);
1134    xN=NaN*ones(size(xc));
1135    matx=[xc(:)-uc(:)/2 xc(:)+uc(:)/2 xN(:)]';
1136%     matx=[xc(:) xc(:)+uc(:) xN(:)]';
1137    matx=reshape(matx,1,3*n(2));
1138    maty=[yc(:)-vc(:)/2 yc(:)+vc(:)/2 xN(:)]';
1139%     maty=[yc(:) yc(:)+vc(:) xN(:)]';
1140    maty=reshape(maty,1,3*n(2));
1141   
1142    %determine arrow heads
1143    arrowplus=rot*[uc;vc];
1144    arrowmoins=rot'*[uc;vc];
1145    x1=xc+uc/2-arrowplus(1,:);
1146    x2=xc+uc/2;
1147    x3=xc+uc/2-arrowmoins(1,:);
1148    y1=yc+vc/2-arrowplus(2,:);
1149    y2=yc+vc/2;
1150    y3=yc+vc/2-arrowmoins(2,:);
1151%     x1=xc+uc-arrowplus(1,:);
1152%     x2=xc+uc;
1153%     x3=xc+uc-arrowmoins(1,:);
1154%     y1=yc+vc-arrowplus(2,:);
1155%     y2=yc+vc;
1156%     y3=yc+vc-arrowmoins(2,:);
1157    matxar=[x1(:) x2(:) x3(:) xN(:)]';
1158    matxar=reshape(matxar,1,4*n(2));
1159    matyar=[y1(:) y2(:) y3(:) xN(:)]';
1160    matyar=reshape(matyar,1,4*n(2));
1161    %draw the line or modify the existing ones
1162      hx = [x1;x2;x3];
1163      hy = [y1;y2;y3];
1164    tri=reshape([1:3*length(uc)],3,[])';
1165    d = tri(:,[1 2 3 1])';
1166 
1167   
1168    isn=isnan(colorlist(icolor,:));%test if color NaN
1169    if 2*icolor > sizh(1) %if icolor exceeds the number of existing ones
1170        axes(haxes)
1171        if ~isn(1) %if the vectors are visible color not nan
1172            if n(2)>0
1173                hold on
1174                line(matx,maty,'Color',colorlist(icolor,:),'Tag','vel');% plot new lines
1175                line(matxar,matyar,'Color',colorlist(icolor,:),'Tag','vel');% plot arrows
1176%                 fill(hx(d),hy(d),colorlist(icolor,:),'EdgeColor','none','
1177%                 Tag','Vel');
1178          end
1179        end
1180    else
1181        if isn(1)
1182            delete(h(2*icolor-1))
1183            delete(h(2*icolor))
1184        else
1185            set(h(2*icolor-1),'Xdata',matx,'Ydata',maty);
1186            set(h(2*icolor-1),'Color',colorlist(icolor,:));
1187            set(h(2*icolor-1),'EraseMode','xor');
1188            set(h(2*icolor),'Xdata',matxar,'Ydata',matyar);
1189            set(h(2*icolor),'Color',colorlist(icolor,:));
1190            set(h(2*icolor),'EraseMode','xor');
1191        end
1192     end
1193end
1194if sizh(1) > 2*ncolor
1195    for icolor=ncolor+1 : sizh(1)/2%delete additional objects
1196        delete(h(2*icolor-1))
1197        delete(h(2*icolor))
1198    end
1199end
1200
1201%-------------------------------------------------------------------
1202% ---- determine tick positions for colorbar
1203function YTick=colbartick(MinA,MaxA)
1204%-------------------------------------------------------------------
1205%determine tick positions with "simple" values between MinA and MaxA
1206YTick=0;%default
1207maxabs=max([abs(MinA) abs(MaxA)]);
1208if maxabs>0
1209ord=10^(floor(log10(maxabs)));%order of magnitude
1210div=1;
1211siz2=1;
1212while siz2<2
1213%     values=[-9:div:9];
1214    values=-10:div:10;
1215    ind=find((ord*values-MaxA)<0 & (ord*values-MinA)>0);%indices of 'values' such that MinA<ord*values<MaxA
1216    siz=size(ind);
1217    if siz(2)<4%if there are less than 4 selected values (4 levels)
1218        values=-9:0.5*div:9;
1219        ind=find((ord*values-MaxA)<0 & (ord*values-MinA)>0);
1220    end
1221    siz2=size(ind,2);
1222%     siz2=siz(2)
1223    div=div/10;
1224end
1225YTick=ord*values(ind);
1226end
1227
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