source: trunk/src/plot_field.m @ 869

Last change on this file since 869 was 869, checked in by sommeria, 6 years ago

bug_repaired

File size: 59.7 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 fields 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_cells.m.
9%  The dimensionality of each block is obtained  by this function
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,PosColorbar)
15%
16% OUPUT:
17% PlotType: type of plot: 'text','line'(curve plot),'plane':2D view,'volume', or errormsg
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%   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.
44%
45%   PlotParam: structure containing the parameters for plotting, as read on the uvmat or view_field GUI (by function 'read_GUI.m').
46%      Contains three substructures:
47%     .Axes: coordinate parameters:
48%           .CheckFixLimits:=0 (default) adjust axes limit to the X,Y data, =1: preserves the previous axes limits
49%     .Axes.CheckFixAspectRatio: =0 (default):automatic adjustment of the graph, keep 1 to 1 aspect ratio for x and y scales.
50%     .Axes.AspectRatio: imposed aspect ratio y/x of axis unit plots
51%            --scalars--
52%    .Scalar.MaxA: upper bound (saturation color) for the scalar representation, max(field) by default
53%    .Scalar.MinA: lower bound (saturation) for the scalar representation, min(field) by default
54%    .Scalar.CheckFixScal: =0 (default) lower and upper bounds of the scalar representation set to the min and max of the field
55%               =1 lower and upper bound imposed by .AMax and .MinA
56%    .Scalar.CheckBW= 1: black and white representation imposed, =0 color imposed (color scale or rgb),
57%                   =[]: automatic (B/W for integer positive scalars, color  else)
58%    .Scalar.CheckContours= 1: represent scalars by contour plots (Matlab function 'contour'); =0 by default
59%    .IncrA : contour interval
60%            -- vectors--
61%    .Vectors.VecScale: scale for the vector representation
62%    .Vectors.CheckFixVec: =0 (default) automatic length for vector representation, =1: length set by .VecScale
63%    .Vectors.CheckHideFalse= 0 (default) false vectors represented in magenta, =1: false vectors not represented;
64%    .Vectors.CheckHideWarning= 0 (default) vectors marked by warnflag~=0 marked in black, 1: no warning representation;
65%    .Vectors.CheckDecimate4 = 0 (default) all vectors reprtesented, =1: half of  the vectors represented along each coordinate
66%         -- vector color--
67%    .Vectors.ColorCode= 'black','white': imposed color  (default ='blue')
68%                        'rgb', : three colors red, blue, green depending
69%                        on thresholds .colcode1 and .colcode2 on the input  scalar value (C)
70%                        'brg': like rgb but reversed color order (blue, green, red)
71%                        '64 colors': continuous color from blue to red (multijet)
72%    .Vectors.colcode1 : first threshold for rgb, first value for'continuous'
73%    .Vectors.colcode2 : second threshold for rgb, last value (saturation) for 'continuous'
74%    .Vectors.CheckFixedCbounds;  =0 (default): the bounds on C representation are min and max, =1: they are fixed by .Minc and .MaxC
75%    .Vectors.MinC = imposed minimum of the scalar field used for vector color;
76%    .Vectors.MaxC = imposed maximum of the scalar field used for vector color;
77%
78% PosColorbar: % if absent, no action on colorbar
79%              % if empty, suppress any existing colorbar
80%              % if not empty, display a colorbar for B&W images at position PosColorbar
81%                expressed in figure relative unit (ex [0.821 0.471 0.019 0.445])
82
83%AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA
84%  Copyright 2008-2014, LEGI / CNRS UJF G-INP, Joel.Sommeria@legi.grenoble-inp.fr
85%AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA
86%     This file is part of the toolbox UVMAT.
87%
88%     UVMAT is free software; you can redistribute it and/or modify
89%     it under the terms of the GNU General Public License as published by
90%     the Free Software Foundation; either version 2 of the License, or
91%     (at your option) any later version.
92%
93%     UVMAT is distributed in the hope that it will be useful,
94%     but WITHOUT ANY WARRANTY; without even the implied warranty of
95%     MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
96%     GNU General Public License (file UVMAT/COPYING.txt) for more details.
97%AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA
98
99function [PlotType,PlotParamOut,haxes]= plot_field(Data,haxes,PlotParam)
100
101%% default input and output
102if ~exist('PlotParam','var'),PlotParam=[];end;
103PlotType='text'; %default
104if ~isfield(PlotParam,'Axes')
105    PlotParam.Axes=[];
106    if isfield(Data,'CoordUnit')
107        PlotParam.Axes.CheckFixAspectRatio=1;
108        PlotParam.Axes.AspectRatio=1; %set axes equal by default if CoordUnit is defined
109    end
110end
111PlotParamOut=PlotParam;%default
112
113%% check input structure
114% check the cells of fields :
115[CellInfo,NbDimArray,errormsg]=find_field_cells(Data);
116if ~isempty(errormsg)
117    msgbox_uvmat('ERROR',['input of plot_field/find_field_cells: ' errormsg]);
118    return
119end
120
121index_3D=find(NbDimArray>2,1);
122if ~isempty(index_3D)
123    msgbox_uvmat('ERROR','volume plot not implemented yet');
124    return
125end
126index_2D=find(NbDimArray==2);%find 2D fields
127index_1D=find(NbDimArray==1);
128index_0D=find(NbDimArray==0);
129
130%% test axes and figure
131testnewfig=1;%test to create a new figure (default)
132testzoomaxes=0;%test for the existence of a zoom secondary figure attached to the plotting axes
133if exist('haxes','var')
134    if ishandle(haxes)
135        if isequal(get(haxes,'Type'),'axes')
136            testnewfig=0;
137            AxeData=get(haxes,'UserData');
138            if isfield(AxeData,'ZoomAxes')&& ishandle(AxeData.ZoomAxes)
139                if isequal(get(AxeData.ZoomAxes,'Type'),'axes')
140                    testzoomaxes=1;
141                    zoomaxes=AxeData.ZoomAxes;
142                end
143            end
144        end
145    end
146end
147
148%% create a new figure and axes if the plotting axes does not exist
149if testnewfig
150    hfig=figure;
151    set(hfig,'Units','normalized')
152    haxes=axes;
153    set(haxes,'position',[0.13,0.2,0.775,0.73])
154    PlotParamOut.NextPlot='add'; %parameter for plot_profile
155else
156    hfig=get(haxes,'parent');
157    set(0,'CurrentFigure',hfig)% the parent of haxes becomes the current figure
158    set(hfig,'CurrentAxes',haxes)%  haxes becomes the current axes of the parent figure
159end
160
161%% set axes properties
162if isfield(PlotParamOut.Axes,'CheckFixLimits') && isequal(PlotParamOut.Axes.CheckFixLimits,1)  %adjust the graph limits
163    set(haxes,'XLimMode', 'manual')
164    set(haxes,'YLimMode', 'manual')
165else
166    set(haxes,'XLimMode', 'auto')
167    set(haxes,'YLimMode', 'auto')
168end
169
170if isfield(PlotParamOut.Axes,'CheckFixAspectRatio') && isequal(PlotParamOut.Axes.CheckFixAspectRatio,1)&&isfield(PlotParamOut.Axes,'AspectRatio')
171    set(haxes,'DataAspectRatioMode','manual')
172    set(haxes,'DataAspectRatio',[PlotParamOut.Axes.AspectRatio 1 1])
173else
174    set(haxes,'DataAspectRatioMode','auto')%automatic aspect ratio
175end
176
177errormsg='';
178AxeData=get(haxes,'UserData');
179
180%% 2D plots
181if isempty(index_2D)
182    plot_plane([],[],haxes,[]);%removes images or vector plots in the absence of 2D field plot
183else  %plot 2D field
184%     if ~exist('PosColorbar','var'),PosColorbar=[];end;
185    [tild,PlotParamOut,PlotType,errormsg]=plot_plane(Data,CellInfo(index_2D),haxes,PlotParamOut);
186    AxeData.NbDim=2;
187    if testzoomaxes && isempty(errormsg)
188        [zoomaxes,PlotParamOut,tild,errormsg]=plot_plane(Data,CellInfo(index_2D),zoomaxes,PlotParamOut);
189        AxeData.ZoomAxes=zoomaxes;
190    end
191end
192
193%% 1D plot (usual graph y vs x)
194if isempty(index_1D)
195    if ~isempty(haxes)
196        plot_profile([],[],haxes);%removes usual praphs y vs x in the absence of 1D field plot
197    end
198else %plot 1D field (usual graph y vs x)
199    CheckHold=0;
200    if isfield(PlotParam,'CheckHold')
201        CheckHold= PlotParam.CheckHold;
202    end       
203    PlotParamOut.Axes=plot_profile(Data,CellInfo(index_1D),haxes,PlotParamOut.Axes,CheckHold);%
204    if testzoomaxes
205        [zoomaxes,PlotParamOut.Axes]=plot_profile(Data,CellInfo(index_1D),zoomaxes,PlotParamOut.Axes,CheckHold);
206        AxeData.ZoomAxes=zoomaxes;
207    end
208    PlotType='line';
209end
210
211%% aspect ratio
212AspectRatio=get(haxes,'DataAspectRatio');
213PlotParamOut.Axes.AspectRatio=AspectRatio(1)/AspectRatio(2);
214
215%% text display
216htext=findobj(hfig,'Tag','TableDisplay');
217hchecktable=findobj(hfig,'Tag','CheckTable');
218% if isempty(index_2D) && isempty(index_1D)%text display alone
219%     htext=findobj(hfig,'Tag','TableDisplay');
220% else  %text display added to plot
221%     %htext=findobj(hfig,'Tag','text_display');
222% end
223if ~isempty(htext)&&~isempty(hchecktable)
224    if isempty(index_0D)
225        set(htext,'Data',{})
226        set(htext,'visible','off')
227        set(hchecktable,'visible','off')
228        set(hchecktable,'Value',0)
229    else
230        errormsg=plot_text(Data,CellInfo(index_0D),htext);
231        set(htext,'visible','on')
232        set(hchecktable,'visible','on')
233        set(hchecktable,'Value',1)
234    end
235    set(hfig,'Unit','pixels');
236    set(htext,'Unit','pixels')
237    PosFig=get(hfig,'Position');
238    % case of no plot with view_field: only text display
239    if strcmp(get(hfig,'Tag'),'view_field')
240        if isempty(index_1D) && isempty(index_2D)% case of no plot: only text display
241            set(haxes,'Visible','off')         
242            PosTable=get(htext,'Position');
243            set(hfig,'Position',[PosFig(1) PosFig(2)  PosTable(3) PosTable(4)])
244        else
245            set(haxes,'Visible','on')
246            set(hfig,'Position',[PosFig(1) PosFig(2)  877 677])%default size for view_field
247        end
248    end
249end
250
251%% display error message
252if ~isempty(errormsg)
253    PlotType=errormsg;
254    msgbox_uvmat('ERROR', errormsg)
255end
256
257%% update the parameters stored in AxeData
258if ishandle(haxes)&&( ~isempty(index_2D)|| ~isempty(index_1D))
259%     AxeData=[];
260    if isfield(PlotParamOut,'MinX')
261        AxeData.RangeX=[PlotParamOut.MinX PlotParamOut.MaxX];
262        AxeData.RangeY=[PlotParamOut.MinY PlotParamOut.MaxY];
263    end
264    set(haxes,'UserData',AxeData)
265end
266
267%% update the plotted field stored in parent figure
268if ~isempty(index_2D)|| ~isempty(index_1D)
269    FigData=get(hfig,'UserData');
270    if strcmp(get(hfig,'tag'),'view_field')||strcmp(get(hfig,'tag'),'uvmat')
271        FigData.(get(haxes,'tag'))=Data;
272        set(hfig,'UserData',FigData)
273    end
274end
275
276%-------------------------------------------------------------------
277% --- plot 0D fields: display data values without plot
278%------------------------------------------------------------------
279function errormsg=plot_text(FieldData,CellInfo,htext)
280
281errormsg='';
282txt_cell={};
283Data={};
284VarIndex=[];
285for icell=1:length(CellInfo)
286   
287    % select types of  variables to be projected
288    ListProj={'VarIndex_scalar','VarIndex_image','VarIndex_color','VarIndex_vector_x','VarIndex_vector_y'};
289    check_proj=false(size(FieldData.ListVarName));
290    for ilist=1:numel(ListProj)
291        if isfield(CellInfo{icell},ListProj{ilist})
292            check_proj(CellInfo{icell}.(ListProj{ilist}))=1;
293        end
294    end
295    VarIndex=[VarIndex find(check_proj)];
296end
297
298% data need to be displayed in a table
299if strcmp(get(htext,'Type'),'uitable')% display data in a table
300    VarNameCell=cell(1,numel(VarIndex));% prepare list of variable names to display (titles of columns)
301    VarLength=zeros(1,numel(VarIndex));  % default number of values for each variable
302    for ivar=1:numel(VarIndex)
303        VarNameCell{ivar}=FieldData.ListVarName{VarIndex(ivar)};
304        VarLength(ivar)=numel(FieldData.(VarNameCell{ivar}));
305    end
306    set(htext,'ColumnName',VarNameCell)
307    Data=cell(max(VarLength),numel(VarIndex));% prepare the table of data display
308   
309    for ivar=1:numel(VarIndex)
310        VarValue=FieldData.(VarNameCell{ivar});
311        VarValue=reshape(VarValue,[],1);% reshape values array in a column
312        Data(1:numel(VarValue),ivar)=num2cell(VarValue);
313    end
314    set(htext,'Data',Data)
315end
316%         if numel(VarValue)>1 && numel(VarValue)<10 % case of a variable with several values
317%             for ind=1:numel(VarValue)
318%                 VarNameCell{1,ind}=[VarName '_' num2str(ind)];% indicate each value by an index
319%             end
320%         else
321%             VarNameCell={VarName};
322%         end
323%         if numel(VarValue)<10
324%             if isempty(VarValue)
325%                 VarValueCell={'[]'};
326%             else
327%                 VarValueCell=num2cell(VarValue);
328%             end
329%             if isempty(Data)
330%                 Data =[VarNameCell VarValueCell];
331%             else
332%                 Data =[Data [VarNameCell VarValueCell]];
333%             end
334%         else
335%             if isempty(Data)
336%                 Data =[VarNameCell; num2cell(VarValue)];
337%             else
338%                 Data =[Data [VarNameCell; {['size ' num2str(size(VarValue))]}]];
339%             end
340%         end
341%         if size(VarValue,1)==1
342%             txt=[VarName '=' num2str(VarValue)];
343%             txt_cell=[txt_cell;{txt}];
344%         end
345%     end
346% end
347% if strcmp(get(htext,'Type'),'uitable')% display data in a table
348%
349
350%     set(htext,'Data',Data(2:end,:))
351% else  % display in a text edit box
352%     set(htext,'String',txt_cell)
353%     set(htext,'UserData',txt_cell)% for temporary storage when the edit box is used for mouse display
354% end
355
356
357%-------------------------------------------------------------------
358% --- plot 1D fields (usual x,y plots)
359%-------------------------------------------------------------------
360function CoordinatesOut=plot_profile(data,CellInfo,haxes,Coordinates,CheckHold)
361
362%% initialization
363if ~exist('Coordinates','var')
364    Coordinates=[];
365end
366CoordinatesOut=Coordinates; %default
367hfig=get(haxes,'parent');
368legend_str={};
369
370%% suppress existing plot if empty data
371if isempty(data)
372    hplot=findobj(haxes,'tag','plot_line');
373    if ~isempty(hplot)
374        delete(hplot)
375    end
376    hlegend=findobj(hfig,'tag','legend');
377    if ~isempty(hlegend)
378        delete(hlegend)
379    end
380    return
381end
382
383%% set the colors of the successive plots (designed to produce rgb for the three components of color images)
384ColorOrder=[1 0 0;0 1 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];
385set(hfig,'DefaultAxesColorOrder',ColorOrder)
386% if isfield(Coordinates,'NextPlot')
387%     set(haxes,'NextPlot',Coordinates.NextPlot)
388% end
389if CheckHold
390    set(haxes,'NextPlot','add')
391else
392    set(haxes,'NextPlot','replace')
393end
394
395%% prepare the string for plot command
396plotstr='hhh=plot(';
397% coord_x_index=[];
398xtitle='';
399ytitle='';
400test_newplot=~CheckHold;
401MinX=[];
402MaxX=[];
403MinY_cell=[];
404MaxY_cell=[];
405%loop on input  fields
406for icell=1:numel(CellInfo)
407    VarIndex=CellInfo{icell}.VarIndex;%  indices of the selected variables in the list data.ListVarName
408    coord_x_index=CellInfo{icell}.CoordIndex;
409    testplot=ones(size(data.ListVarName));%default test for plotted variables
410    coord_x_name{icell}=data.ListVarName{coord_x_index};
411    coord_x{icell}=data.(data.ListVarName{coord_x_index});%coordinate variable set as coord_x
412    if isempty(find(strcmp(coord_x_name{icell},coord_x_name(1:end-1)), 1)) %xtitle not already selected
413        xtitle=[xtitle coord_x_name{icell}];
414        if isfield(data,'VarAttribute')&& numel(data.VarAttribute)>=coord_x_index && isfield(data.VarAttribute{coord_x_index},'units')
415            xtitle=[xtitle '(' data.VarAttribute{coord_x_index}.units '), '];
416        else
417            xtitle=[xtitle ', '];
418        end
419    end
420    if ~isempty(coord_x{icell})
421        MinX(icell)=min(coord_x{icell});
422        MaxX(icell)=max(coord_x{icell});
423        testplot(coord_x_index)=0;
424        if isfield(CellInfo{icell},'VarIndex_ancillary')
425            testplot(CellInfo{icell}.VarIndex_ancillary)=0;
426        end
427        if isfield(CellInfo{icell},'VarIndex_warnflag')
428            testplot(CellInfo{icell}.VarIndex_warnflag)=0;
429        end
430        if isfield(data,'VarAttribute')
431            VarAttribute=data.VarAttribute;
432            for ivar=1:length(VarIndex)
433                if length(VarAttribute)>=VarIndex(ivar) && isfield(VarAttribute{VarIndex(ivar)},'long_name')
434                    plotname{VarIndex(ivar)}=VarAttribute{VarIndex(ivar)}.long_name;
435                else
436                    plotname{VarIndex(ivar)}=data.ListVarName{VarIndex(ivar)};%name for display in plot A METTRE
437                end
438            end
439        end
440        if isfield(CellInfo{icell},'VarIndex_discrete')
441            charplot_0='''+''';
442        else
443            charplot_0='''-''';
444        end
445        MinY=[];
446        MaxY=[];%default
447       
448        nbplot=0;
449        for ivar=1:length(VarIndex)
450            if testplot(VarIndex(ivar))
451                VarName=data.ListVarName{VarIndex(ivar)};
452                nbplot=nbplot+1;
453                ytitle=[ytitle VarName];
454                if isfield(data,'VarAttribute')&& numel(data.VarAttribute)>=VarIndex(ivar) && isfield(data.VarAttribute{VarIndex(ivar)},'units')
455                    ytitle=[ytitle '(' data.VarAttribute{VarIndex(ivar)}.units '), '];
456                else
457                    ytitle=[ytitle ', '];
458                end
459                eval(['data.' VarName '=squeeze(data.' VarName ');'])
460                MinY(ivar)=min(min(data.(VarName)));
461                MaxY(ivar)=max(max(data.(VarName)));
462                plotstr=[plotstr 'coord_x{' num2str(icell) '},data.' VarName ',' charplot_0 ','];
463                eval(['nbcomponent2=size(data.' VarName ',2);']);
464                eval(['nbcomponent1=size(data.' VarName ',1);']);
465                if numel(coord_x{icell})==2
466                    coord_x{icell}=linspace(coord_x{icell}(1),coord_x{icell}(2),nbcomponent1);
467                end
468                if nbcomponent1==1|| nbcomponent2==1
469                    legend_str=[legend_str {VarName}]; %variable with one component
470                else  %variable with severals  components
471                    for ic=1:min(nbcomponent1,nbcomponent2)
472                        legend_str=[legend_str [VarName '_' num2str(ic)]]; %variable with severals  components
473                    end                                                   % labeled by their index (e.g. color component)
474                end
475            end
476        end
477        if ~isempty(MinY)
478            MinY_cell(icell)=min(MinY);
479            MaxY_cell(icell)=max(MaxY);
480        end
481    end
482end
483
484%% activate the plot
485if  ~isequal(plotstr,'hhh=plot(') 
486    set(hfig,'CurrentAxes',haxes)
487    tag=get(haxes,'tag');   
488    %%%
489    plotstr=[plotstr '''tag'',''plot_line'');'];   
490    eval(plotstr)                  %execute plot (instruction  plotstr)
491    %%%
492    set(haxes,'tag',tag)% restitute the axes tag (removed by the command plot)
493    set(haxes,'ColorOrder',ColorOrder)% restitute the plot color order (to get red green blue for histograms or cuts of color images)
494    grid(haxes, 'on')
495    hxlabel=xlabel(xtitle(1:end-2));% xlabel (removes ', ' at the end)
496    set(hxlabel,'Interpreter','none')% desable tex interpreter
497    if length(legend_str)>=1
498        hylabel=ylabel(ytitle(1:end-2));% ylabel (removes ', ' at the end)
499        set(hylabel,'Interpreter','none')% desable tex interpreter
500    end
501    if ~isempty(legend_str)
502        hlegend=findobj(hfig,'Tag','legend');
503        if isempty(hlegend)
504            hlegend=legend(legend_str);
505            txt=ver('MATLAB');
506            Release=txt.Release;
507            relnumb=str2double(Release(3:4));% should be changed to Version for better compatibility
508            if relnumb >= 14
509                set(hlegend,'Interpreter','none')% desable tex interpreter
510            end
511        else
512            legend_old=get(hlegend,'String');
513            if isequal(size(legend_old,1),size(legend_str,1))&&~isequal(legend_old,legend_str)
514                set(hlegend,'String',[legend_old legend_str]);
515            end
516        end
517    end
518    title_str='';
519    if isfield(data,'filename')
520       [Path, title_str, ext]=fileparts(data.filename);
521       title_str=[title_str ext];
522    end
523    if isfield(data,'Action')&&isfield(data.Action,'ActionName')
524        if ~isequal(title_str,'')
525            title_str=[title_str ', '];
526        end
527        title_str=[title_str data.Action.ActionName];
528    end
529    htitle=title(title_str);
530    set(htitle,'Interpreter','none')% desable tex interpreter
531end
532
533%% determine axes bounds
534fix_lim=isfield(Coordinates,'CheckFixLimits') && Coordinates.CheckFixLimits;
535check_lim=isfield(Coordinates,'MinX')&&isfield(Coordinates,'MaxX')&&isfield(Coordinates,'MinY')&&isfield(Coordinates,'MaxY');
536if fix_lim
537    if ~check_lim
538        fix_lim=0; %free limits if limits are not set,
539    end
540end
541if fix_lim
542    set(haxes,'XLim',[Coordinates.MinX Coordinates.MaxX])
543    set(haxes,'YLim',[Coordinates.MinY Coordinates.MaxY])
544else
545    if ~isempty(MinX)
546        if check_lim
547            CoordinatesOut.MinX=min(min(MinX),CoordinatesOut.MinX);
548            CoordinatesOut.MaxX=max(max(MaxX),CoordinatesOut.MaxX);
549        else
550            CoordinatesOut.MinX=min(MinX);
551            CoordinatesOut.MaxX=max(MaxX);
552        end
553    end
554    if ~isempty(MinY_cell)
555        if check_lim
556            CoordinatesOut.MinY=min(min(MinY_cell),CoordinatesOut.MinY);
557            CoordinatesOut.MaxY=max(max(MaxY_cell),CoordinatesOut.MaxY);
558        else
559            CoordinatesOut.MinY=min(MinY_cell);
560            CoordinatesOut.MaxY=max(MaxY_cell);
561        end
562    end
563end
564
565%% determine plot aspect ratio
566if isfield(Coordinates,'CheckFixAspectRatio') && isequal(Coordinates.CheckFixAspectRatio,1)&&isfield(Coordinates,'AspectRatio')
567    set(haxes,'DataAspectRatioMode','manual')
568    set(haxes,'DataAspectRatio',[Coordinates.AspectRatio 1 1])
569else
570    set(haxes,'DataAspectRatioMode','auto')%automatic aspect ratio
571    AspectRatio=get(haxes,'DataAspectRatio');
572    CoordinatesOut.AspectRatio=AspectRatio(1)/AspectRatio(2);
573end
574
575%-------------------------------------------------------------------
576function [haxes,PlotParamOut,PlotType,errormsg]=plot_plane(Data,CellInfo,haxes,PlotParam)
577%-------------------------------------------------------------------
578PlotType='plane';
579grid(haxes, 'off')% remove grid (possibly remaining from other graphs)
580
581%default plotting parameters
582if ~isfield(PlotParam,'Scalar')
583    PlotParam.Scalar=[];
584end
585if ~isfield(PlotParam,'Vectors')
586    PlotParam.Vectors=[];
587end
588PlotParamOut=PlotParam;%default
589errormsg='';%default
590
591hfig=get(haxes,'parent');%handle of the figure containing the plot axes
592PosColorbar=[];
593FigData=get(hfig,'UserData');
594if isfield(FigData,'PosColorbar')
595    PosColorbar=FigData.PosColorbar;
596end
597hcol=findobj(hfig,'Tag','Colorbar'); %look for colorbar axes
598hima=findobj(haxes,'Tag','ima');% search existing image in the current axes
599test_ima=0; %default: test for image or map plot
600test_vec=0; %default: test for vector plots
601test_black=0;
602test_false=0;
603test_C=0;
604XName='';
605x_units='';
606YName='';
607y_units='';
608
609% loop on the input field cells
610for icell=1:numel(CellInfo)
611    if strcmp(CellInfo{icell}.CoordType,'tps') %do not plot directly tps data (used for projection only)
612        continue
613    end
614    ivar_X=CellInfo{icell}.CoordIndex(end); % defines (unique) index for the variable representing unstructured x coordinate (default =[])
615    ivar_Y=CellInfo{icell}.CoordIndex(end-1); % defines (unique)index for the variable representing unstructured y coordinate (default =[])
616    ivar_C=[];
617    if isfield(CellInfo{icell},'VarIndex_scalar')
618        ivar_C=[ivar_C CellInfo{icell}.VarIndex_scalar];
619    end
620    if isfield(CellInfo{icell},'VarIndex_image')
621        ivar_C=[ivar_C CellInfo{icell}.VarIndex_image];
622    end
623    if isfield(CellInfo{icell},'VarIndex_color')
624        ivar_C=[ivar_C CellInfo{icell}.VarIndex_color];
625    end
626    if isfield(CellInfo{icell},'VarIndex_ancillary')
627        ivar_C=[ivar_C CellInfo{icell}.VarIndex_ancillary];
628    end
629    if numel(ivar_C)>1
630        errormsg= 'error in plot_field: too many scalar inputs';
631        return
632    end
633    ivar_F=[];
634    if isfield(CellInfo{icell},'VarIndex_warnflag')
635        ivar_F=CellInfo{icell}.VarIndex_warnflag; %defines index (unique) for warning flag variable
636    end
637    ivar_FF_vec=[];
638    if isfield(CellInfo{icell},'VarIndex_vector_x')&&isfield(CellInfo{icell},'VarIndex_vector_y') % vector components detected
639        if test_vec% a vector field has been already detected
640            errormsg='error in plot_field: attempt to plot two vector fields: to get the difference project on a plane with ProjMode= interp_lin or interp_tps';
641            return
642        else
643            if numel(CellInfo{icell}.VarIndex_vector_x)>1
644                errormsg='error in plot_field: attempt to plot two vector fields';
645            return
646            end
647            test_vec=1;
648            if isfield(CellInfo{icell},'VarIndex_errorflag')
649                ivar_FF_vec=CellInfo{icell}.VarIndex_errorflag; %defines index (unique) for error flag variable
650            end
651            vec_U=Data.(Data.ListVarName{CellInfo{icell}.VarIndex_vector_x});
652            vec_V=Data.(Data.ListVarName{CellInfo{icell}.VarIndex_vector_y});
653            if strcmp(CellInfo{icell}.CoordType,'scattered')%2D field with unstructured coordinates
654                XName=Data.ListVarName{CellInfo{icell}.CoordIndex(end)};
655                YName=Data.ListVarName{CellInfo{icell}.CoordIndex(end-1)};
656                vec_X=reshape(Data.(XName),[],1); %transform vectors in column matlab vectors
657                vec_Y=reshape(Data.(YName),[],1);
658            elseif strcmp(CellInfo{icell}.CoordType,'grid')%2D field with structured coordinates
659                y=Data.(Data.ListVarName{CellInfo{icell}.CoordIndex(end-1)});
660                x=Data.(Data.ListVarName{CellInfo{icell}.CoordIndex(end)});
661                if numel(y)==2 % y defined by first and last values on aregular mesh
662                    y=linspace(y(1),y(2),size(vec_U,1));
663                end
664                if numel(x)==2 % y defined by first and last values on aregular mesh
665                    x=linspace(x(1),x(2),size(vec_U,2));
666                end
667                [vec_X,vec_Y]=meshgrid(x,y);
668            end
669            if isfield(PlotParam.Vectors,'ColorScalar') && ~isempty(PlotParam.Vectors.ColorScalar)
670                [VarVal,ListVarName,VarAttribute,errormsg]=calc_field_interp([],Data,PlotParam.Vectors.ColorScalar);
671                if ~isempty(VarVal)
672                    vec_C=reshape(VarVal{1},1,numel(VarVal{1}));
673                    test_C=1;
674                end
675            end
676            if ~isempty(ivar_F)%~(isfield(PlotParam.Vectors,'HideWarning')&& isequal(PlotParam.Vectors.HideWarning,1))
677%                 if test_vec
678                    vec_F=Data.(Data.ListVarName{ivar_F}); % warning flags for  dubious vectors
679                    if  ~(isfield(PlotParam.Vectors,'CheckHideWarning') && isequal(PlotParam.Vectors.CheckHideWarning,1))
680                        test_black=1;
681                    end
682%                 end
683            end
684            if ~isempty(ivar_FF_vec) %&& ~test_false
685%                 if test_vec% TODO: deal with FF for structured coordinates
686                    vec_FF=Data.(Data.ListVarName{ivar_FF_vec}); % flags for false vectors
687%                 end
688            end
689        end
690    elseif ~isempty(ivar_C) %scalar or image
691        if test_ima
692            errormsg='attempt to plot two scalar fields or images';
693            return
694        end
695        A=squeeze(Data.(Data.ListVarName{ivar_C}));% scalar represented as color image
696        test_ima=1;
697        if strcmp(CellInfo{icell}.CoordType,'scattered')%2D field with unstructured coordinates
698            A=reshape(A,1,[]);
699            XName=Data.ListVarName{ivar_X};
700            YName=Data.ListVarName{ivar_Y};
701            eval(['Coord_x=reshape(Data.' XName ',1,[]);'])
702            eval(['Coord_y=reshape(Data.' YName ',1,[]);'])
703            [A,Coord_x,Coord_y]=proj_grid(Coord_x',Coord_y',A',[],[],'np>256');  % interpolate on a grid
704            if isfield(Data,'VarAttribute')
705                if numel(Data.VarAttribute)>=ivar_X && isfield(Data.VarAttribute{ivar_X},'units')
706                    x_units=[' (' Data.VarAttribute{ivar_X}.units ')'];
707                end
708                if numel(Data.VarAttribute)>=ivar_Y && isfield(Data.VarAttribute{ivar_Y},'units')
709                    y_units=[' (' Data.VarAttribute{ivar_Y}.units ')'];
710                end
711            end
712        elseif strcmp(CellInfo{icell}.CoordType,'grid')%2D field with structured coordinates
713            YName=Data.ListVarName{CellInfo{icell}.CoordIndex(end-1)};
714            Coord_y=Data.(YName);
715            Coord_x=Data.(Data.ListVarName{CellInfo{icell}.CoordIndex(end)});
716            test_interp_X=0; %default, regularly meshed X coordinate
717            test_interp_Y=0; %default, regularly meshed Y coordinate
718            if isfield(Data,'VarAttribute')
719                if numel(Data.VarAttribute)>=CellInfo{icell}.CoordIndex(end) && isfield(Data.VarAttribute{CellInfo{icell}.CoordIndex(end)},'units')
720                    x_units=Data.VarAttribute{CellInfo{icell}.CoordIndex(end)}.units;
721                end
722                if numel(Data.VarAttribute)>=CellInfo{icell}.CoordIndex(end-1) && isfield(Data.VarAttribute{CellInfo{icell}.CoordIndex(end-1)},'units')
723                    y_units=Data.VarAttribute{CellInfo{icell}.CoordIndex(end-1)}.units;
724                end
725            end
726            if numel(Coord_y)>2
727                DCoord_y=diff(Coord_y);
728                DCoord_y_min=min(DCoord_y);
729                DCoord_y_max=max(DCoord_y);
730                if sign(DCoord_y_min)~=sign(DCoord_y_max);% =1 for increasing values, 0 otherwise
731                    errormsg=['errror in plot_field.m: non monotonic dimension variable ' Data.ListVarName{VarRole.coord(1)} ];
732                    return
733                end
734                test_interp_Y=(DCoord_y_max-DCoord_y_min)> 0.0001*abs(DCoord_y_max);
735            end
736            if numel(Coord_x)>2
737                DCoord_x=diff(Coord_x);
738                DCoord_x_min=min(DCoord_x);
739                DCoord_x_max=max(DCoord_x);
740                if sign(DCoord_x_min)~=sign(DCoord_x_max);% =1 for increasing values, 0 otherwise
741                    errormsg=['errror in plot_field.m: non monotonic dimension variable ' Data.ListVarName{VarRole.coord(2)} ];
742                    return
743                end
744                test_interp_X=(DCoord_x_max-DCoord_x_min)> 0.0001*abs(DCoord_x_max);
745            end
746            if test_interp_Y
747                npxy(1)=max([256 floor((Coord_y(end)-Coord_y(1))/DCoord_y_min) floor((Coord_y(end)-Coord_y(1))/DCoord_y_max)]);
748                yI=linspace(Coord_y(1),Coord_y(end),npxy(1));
749                if ~test_interp_X
750                    xI=linspace(Coord_x(1),Coord_x(end),size(A,2));%default
751                    Coord_x=xI;
752                end
753            end
754            if test_interp_X
755                npxy(2)=max([256 floor((Coord_x(end)-Coord_x(1))/DCoord_x_min) floor((Coord_x(end)-Coord_x(1))/DCoord_x_max)]);
756                xI=linspace(Coord_x(1),Coord_x(end),npxy(2));
757                if ~test_interp_Y
758                    yI=linspace(Coord_y(1),Coord_y(end),size(A,1));
759                    Coord_y=yI;
760                end
761            end
762            if test_interp_X || test_interp_Y
763                [Coord_x2D,Coord_y2D]=meshgrid(Coord_x,Coord_y);
764                A=interp2(Coord_x2D,Coord_y2D,double(A),xI,yI');
765            end
766            Coord_x=[Coord_x(1) Coord_x(end)];% keep only the lower and upper bounds for image represnetation
767            Coord_y=[Coord_y(1) Coord_y(end)];
768        end
769    end
770    %define coordinates as CoordUnits, if not defined as attribute for each variable
771    if isfield(Data,'CoordUnit')
772        if isempty(x_units)
773            x_units=Data.CoordUnit;
774        end
775        if isempty(y_units)
776            y_units=Data.CoordUnit;
777        end
778    end   
779end
780PlotParamOut=PlotParam; % output plot parameters equal to input by default
781
782%%   image or scalar plot %%%%%%%%%%%%%%%%%%%%%%%%%%
783if test_ima
784    % distinguish B/W and color images
785    np=size(A);%size of image
786    siz=numel(np);
787    if siz>3
788        errormsg=['unrecognized scalar type: ' num2str(siz) ' dimensions'];
789        return
790    end
791    if siz==3
792        if np(3)==1
793            siz=2;%B W image
794        elseif np(3)==3
795            siz=3;%color image
796        else
797            errormsg=['unrecognized scalar type in plot_field: considered as 2D field with ' num2str(np(3)) ' color components'];
798            return
799        end
800    end
801   
802    %set for grey scale setting
803    if isfield(PlotParam.Scalar,'CheckBW') && ~isempty(PlotParam.Scalar.CheckBW)
804        BW=PlotParam.Scalar.CheckBW; %BW=0 color imposed, else gray scale imposed.
805    else % BW imposed automatically chosen
806        BW=(siz==2) && (isa(A,'uint8')|| isa(A,'uint16'));% non color images represented in gray scale by default
807        PlotParamOut.Scalar.CheckBW=BW;
808    end
809   
810    % determine the plot option 'image' or 'contours'
811    CheckContour=0; %default
812    if isfield(PlotParam.Scalar,'ListContour')
813        CheckContour=strcmp(PlotParam.Scalar.ListContour,'contours');% =1 for contour plot option
814    end
815   
816    %case of grey level images or contour plot
817    if ~isfield(PlotParam.Scalar,'CheckFixScalar')
818        PlotParam.Scalar.CheckFixScalar=0;% free scalar threshold value scale (from min to max) by default
819    end
820    if ~isfield(PlotParam.Scalar,'MinA')
821        PlotParam.Scalar.MinA=[];%no min scalar threshold value set
822    end
823    if ~isfield(PlotParam.Scalar,'MaxA')
824        PlotParam.Scalar.MaxA=[];%no max scalar threshold value set
825    end
826   
827    % determine the min scalar value
828    if PlotParam.Scalar.CheckFixScalar && ~isempty(PlotParam.Scalar.MinA) && isnumeric(PlotParam.Scalar.MinA)
829        MinA=double(PlotParam.Scalar.MinA); % min value set as input
830    else
831        MinA=double(min(min(min(A)))); % min value set as min of non NaN scalar values
832    end
833   
834    % error if the input scalar is NaN everywhere
835    if isnan(MinA)
836        errormsg='NaN input scalar or image in plot_field';
837        return
838    end
839   
840    % determine the max scalar value
841    CheckFixScalar=0;
842    if PlotParam.Scalar.CheckFixScalar && ~isempty(PlotParam.Scalar.MaxA) && isnumeric(PlotParam.Scalar.MaxA)
843        MaxA=double(PlotParam.Scalar.MaxA); % max value set as input
844        CheckFixScalar=1;
845    else
846        MaxA=double(max(max(max(A)))); % max value set as min of non NaN scalar values
847    end
848   
849    PlotParamOut.Scalar.MinA=MinA;
850    PlotParamOut.Scalar.MaxA=MaxA;
851    PlotParamOut.Scalar.Npx=size(A,2);
852    PlotParamOut.Scalar.Npy=size(A,1);
853    %     if siz==2
854    % case of contour plot
855    if CheckContour
856        if ~isempty(hima) && ishandle(hima)
857            delete(hima) % delete existing image
858        end
859       
860        % set the contour values
861        if ~isfield(PlotParam.Scalar,'IncrA')
862            PlotParam.Scalar.IncrA=[];% automatic contour interval
863        end
864        if ~isempty(PlotParam.Scalar.IncrA) && isnumeric(PlotParam.Scalar.IncrA)
865            interval=PlotParam.Scalar.IncrA;
866        else % automatic contour interval
867            cont=colbartick(MinA,MaxA);
868            interval=cont(2)-cont(1);%default
869            PlotParamOut.Scalar.IncrA=interval;% set the interval as output for display on the GUI
870        end
871        abscontmin=interval*floor(MinA/interval);
872        abscontmax=interval*ceil(MaxA/interval);
873        contmin=interval*floor(min(min(A))/interval);
874        contmax=interval*ceil(max(max(A))/interval);
875        cont_pos_plus=0:interval:contmax;% zero and positive contour values (plotted as solid lines)
876        cont_pos_min=double(contmin):interval:-interval;% negative contour values (plotted as dashed lines)
877        cont_pos=[cont_pos_min cont_pos_plus];% set of all contour values
878       
879        sizpx=(Coord_x(end)-Coord_x(1))/(np(2)-1);
880        sizpy=(Coord_y(1)-Coord_y(end))/(np(1)-1);
881        x_cont=Coord_x(1):sizpx:Coord_x(end); % pixel x coordinates for image display
882        y_cont=Coord_y(1):-sizpy:Coord_y(end); % pixel x coordinates for image display
883       
884        %axes(haxes)% set the input axes handle as current axis
885       
886        % colormap(map);
887        tag_axes=get(haxes,'Tag');% axes tag
888        Opacity=1;
889        if isfield(PlotParam.Scalar,'Opacity')&&~isempty(PlotParam.Scalar.Opacity)
890            Opacity=PlotParam.Scalar.Opacity;
891        end
892        % fill the space between contours if opacity is undefined or =1
893        if isequal(Opacity,1)
894            [var,hcontour]=contour(haxes,x_cont,y_cont,A,cont_pos);% determine all contours
895            set(hcontour,'Fill','on')% fill the space between contours
896            set(hcontour,'LineStyle','none')
897            hold on
898        end
899        [var_p,hcontour_p]=contour(haxes,x_cont,y_cont,A,cont_pos_plus,'k-');% draw the contours for positive values as solid lines
900        hold on
901        [var_m,hcontour_m]=contour(haxes,x_cont,y_cont,A,cont_pos_min,'--');% draw the contours for negative values as dashed lines
902        if isequal(Opacity,1)
903            set(hcontour_m,'LineColor',[1 1 1])% draw negative contours in white (better visibility in dark background)
904        end
905        set(haxes,'Tag',tag_axes);% restore axes tag (removed by the matlab fct contour !)
906        hold off
907       
908        %determine the color scale and map
909        caxis([abscontmin abscontmax])
910        if BW
911            vec=linspace(0,1,(abscontmax-abscontmin)/interval);%define a greyscale colormap with steps interval
912            map=[vec' vec' vec'];
913            colormap(map);
914        else
915            colormap('default'); % default matlab colormap ('jet')
916        end
917       
918        if isfield(PlotParam.Axes,'CheckFixAspectRatio') && isequal(PlotParam.Axes.CheckFixAspectRatio,1)
919            set(haxes,'DataAspectRatioMode','manual')
920            if isfield(PlotParam.Axes,'AspectRatio')
921                set(haxes,'DataAspectRatio',[PlotParam.Axes.AspectRatio 1 1])
922            else
923                set(haxes,'DataAspectRatio',[1 1 1])
924            end
925        end
926    else %usual images (no contour)
927        % set  colormap for  image display
928        if BW
929            vec=linspace(0,1,255);%define a linear greyscale colormap
930            map=[vec' vec' vec'];
931            colormap(map);  %grey scale color map
932            if siz==3% true color images visualized in BW
933                A=uint16(sum(A,3));%sum the three color components for color images displayed with BW option
934            end
935        else
936            if siz==3 && CheckFixScalar % true color images rescaled by MaxA
937                  A=uint8(255*double(A)/double(MaxA));
938            end
939            colormap('default'); % standard false colors for div, vort , scalar fields
940        end
941       
942        % interpolate field to increase resolution of image display
943        test_interp=0;
944        if size(A,3)==1 % scalar or B/W image
945            test_interp=1;
946            if max(np) <= 64
947                npxy=8*np;% increase the resolution 8 times
948            elseif max(np) <= 128
949                npxy=4*np;% increase the resolution 4 times
950            elseif max(np) <= 256
951                npxy=2*np;% increase the resolution 2 times
952            else
953                npxy=np;
954                test_interp=0; % no interpolation done
955            end
956        end
957        if test_interp%if we interpolate
958            x=linspace(Coord_x(1),Coord_x(2),np(2));
959            y=linspace(Coord_y(1),Coord_y(2),np(1));
960            [X,Y]=meshgrid(x,y);
961            xi=linspace(Coord_x(1),Coord_x(2),npxy(2));
962            yi=linspace(Coord_y(1),Coord_y(2),npxy(1));
963            A = interp2(X,Y,double(A),xi,yi');
964        end
965        % create new image if no image handle is found
966        if isempty(hima)
967            tag=get(haxes,'Tag');
968            if MinA<MaxA
969                hima=imagesc(Coord_x,Coord_y,A,[MinA MaxA]);
970            else % to deal with uniform field
971                hima=imagesc(Coord_x,Coord_y,A,[MaxA-1 MaxA]);
972            end
973            % the function imagesc reset the axes 'DataAspectRatioMode'='auto', change if .CheckFixAspectRatio is
974            % requested:
975            set(hima,'Tag','ima')
976            set(hima,'HitTest','off')
977            set(haxes,'Tag',tag);%preserve the axes tag (removed by image fct !!!)
978            uistack(hima, 'bottom')
979            % update an existing image
980        else
981            set(hima,'CData',A);
982            if MinA<MaxA
983                set(haxes,'CLim',[MinA MaxA])
984            else
985                set(haxes,'CLim',[MinA MaxA+1])
986            end
987            set(hima,'XData',Coord_x);
988            set(hima,'YData',Coord_y);
989        end
990       
991        % set the transparency to 0.5 if vectors are also plotted
992        if isfield(PlotParam.Scalar,'Opacity')&& ~isempty(PlotParam.Scalar.Opacity)
993            set(hima,'AlphaData',PlotParam.Scalar.Opacity)
994        else
995            if test_vec
996                set(hima,'AlphaData',0.5)%set opacity to 0.5 by default in the presence of vectors
997                PlotParamOut.Scalar.Opacity=0.5;
998            else
999                set(hima,'AlphaData',1)% full opacity (no transparency) by default
1000            end
1001        end
1002    end
1003    test_ima=1;
1004   
1005    %display the colorbar code for B/W images if Poscolorbar not empty
1006    if ~isempty(PosColorbar)
1007        if size(A,3)==1 && exist('PosColorbar','var')
1008            if isempty(hcol)||~ishandle(hcol)
1009                hcol=colorbar;%create new colorbar
1010            end
1011            if length(PosColorbar)==4
1012                set(hcol,'Position',PosColorbar)
1013            end
1014            %YTick=0;%default
1015            if MaxA>MinA
1016                if CheckContour
1017                    colbarlim=get(hcol,'YLim');
1018                    scale_bar=(colbarlim(2)-colbarlim(1))/(abscontmax-abscontmin);
1019                    YTick=cont_pos(2:end-1);
1020                    YTick_scaled=colbarlim(1)+scale_bar*(YTick-abscontmin);
1021                    set(hcol,'YTick',YTick_scaled);
1022                elseif (isfield(PlotParam.Scalar,'CheckBW') && isequal(PlotParam.Scalar.CheckBW,1))||isa(A,'uint8')|| isa(A,'uint16')%images
1023                    hi=get(hcol,'children');
1024                    if iscell(hi)%multiple images in colorbar
1025                        hi=hi{1};
1026                    end
1027                    set(hi,'YData',[MinA MaxA])
1028                    set(hi,'CData',(1:256)')
1029                    set(hcol,'YLim',[MinA MaxA])
1030                    YTick=colbartick(MinA,MaxA);
1031                    set(hcol,'YTick',YTick)
1032                else
1033                    hi=get(hcol,'children');
1034                    if iscell(hi)%multiple images in colorbar
1035                        hi=hi{1};
1036                    end
1037                    set(hi,'YData',[MinA MaxA])
1038                    set(hi,'CData',(1:64)')
1039                    YTick=colbartick(MinA,MaxA);
1040                    set(hcol,'YLim',[MinA MaxA])
1041                    set(hcol,'YTick',YTick)
1042                end
1043                set(hcol,'Yticklabel',num2str(YTick'));
1044            end
1045        elseif ishandle(hcol)
1046            delete(hcol); %erase existing colorbar if not needed
1047        end
1048    end
1049else%no scalar plot
1050    if ~isempty(hima) && ishandle(hima)
1051        delete(hima)
1052    end
1053    if ~isempty(PosColorbar) && ~isempty(hcol)&& ishandle(hcol)
1054        delete(hcol)
1055    end
1056    PlotParamOut=rmfield(PlotParamOut,'Scalar');
1057end
1058
1059%%   vector plot %%%%%%%%%%%%%%%%%%%%%%%%%%
1060if test_vec
1061   %vector scale representation
1062    if size(vec_U,1)==numel(vec_Y) && size(vec_U,2)==numel(vec_X); % x, y  coordinate variables
1063        [vec_X,vec_Y]=meshgrid(vec_X,vec_Y);
1064    end   
1065    vec_X=reshape(vec_X,1,numel(vec_X));%reshape in matlab vectors
1066    vec_Y=reshape(vec_Y,1,numel(vec_Y));
1067    vec_U=reshape(vec_U,1,numel(vec_U));
1068    vec_V=reshape(vec_V,1,numel(vec_V));
1069     MinMaxX=max(vec_X)-min(vec_X);
1070    if  isfield(PlotParam.Vectors,'CheckFixVectors') && isequal(PlotParam.Vectors.CheckFixVectors,1)&& isfield(PlotParam.Vectors,'VecScale')...
1071               &&~isempty(PlotParam.Vectors.VecScale) && isa(PlotParam.Vectors.VecScale,'double') %fixed vector scale
1072        scale=PlotParam.Vectors.VecScale;  %impose the length of vector representation
1073    else
1074        if ~test_false %remove false vectors   
1075            indsel=1:numel(vec_X);%
1076        end
1077        if isempty(vec_U)
1078            scale=1;
1079        else
1080            if isempty(indsel)
1081                MaxU=max(abs(vec_U));
1082                MaxV=max(abs(vec_V));
1083            else
1084                MaxU=max(abs(vec_U(indsel)));
1085                MaxV=max(abs(vec_V(indsel)));
1086            end
1087            scale=MinMaxX/(max(MaxU,MaxV)*50);
1088            PlotParam.Vectors.VecScale=scale;%update the 'scale' display
1089        end
1090    end
1091   
1092    %record vectors on the plotting axes
1093    if test_C==0
1094        vec_C=ones(1,numel(vec_X));
1095    end
1096   
1097    %decimate by a factor 2 in vector mesh(4 in nbre of vectors)
1098    check_decimate=0;
1099    if isfield(PlotParam.Vectors,'CheckDecimate4') && PlotParam.Vectors.CheckDecimate4
1100        check_decimate=1;
1101        diffy=diff(vec_Y); %difference dy=vec_Y(i+1)-vec_Y(i)
1102        dy_thresh=max(abs(diffy))/2;
1103        ind_jump=find(abs(diffy) > dy_thresh); %indices with diff(vec_Y)> max/2, detect change of line
1104        ind_sel=1:ind_jump(1);%select the first line
1105        for i=2:2:length(ind_jump)-1
1106            ind_sel=[ind_sel (ind_jump(i)+1:ind_jump(i+1))];% select the odd lines
1107        end
1108        nb_sel=length(ind_sel);
1109        ind_sel=ind_sel(1:2:nb_sel);% take half the points on a line
1110    elseif isfield(PlotParam.Vectors,'CheckDecimate16') && PlotParam.Vectors.CheckDecimate16
1111        check_decimate=1;
1112        diffy=diff(vec_Y); %difference dy=vec_Y(i+1)-vec_Y(i)
1113        dy_thresh=max(abs(diffy))/2;
1114        ind_jump=find(abs(diffy) > dy_thresh); %indices with diff(vec_Y)> max/2, detect change of line
1115        ind_sel=1:ind_jump(1);%select the first line
1116        for i=2:4:length(ind_jump)-1
1117            ind_sel=[ind_sel (ind_jump(i)+1:ind_jump(i+1))];% select the odd lines
1118        end
1119        nb_sel=length(ind_sel);
1120        ind_sel=ind_sel(1:4:nb_sel);% take half the points on a line
1121    end
1122    if check_decimate
1123        vec_X=vec_X(ind_sel);
1124        vec_Y=vec_Y(ind_sel);
1125        vec_U=vec_U(ind_sel);
1126        vec_V=vec_V(ind_sel);
1127        vec_C=vec_C(ind_sel);
1128        if ~isempty(ivar_F)
1129           vec_F=vec_F(ind_sel);
1130        end
1131        if ~isempty(ivar_FF_vec)
1132           vec_FF=vec_FF(ind_sel);
1133        end
1134    end
1135   
1136    %get main level color code
1137    [colorlist,col_vec,PlotParamOut.Vectors]=set_col_vec(PlotParam.Vectors,vec_C);
1138   
1139    % take flags into account: add flag colors to the list of colors
1140    sizlist=size(colorlist);
1141    nbcolor=sizlist(1);
1142    if test_black
1143       nbcolor=nbcolor+1;
1144       colorlist(nbcolor,:)=[0 0 0]; %add black to the list of colors
1145       if ~isempty(ivar_FF_vec)
1146            col_vec(vec_F~=1 & vec_F~=0 & vec_FF==0)=nbcolor;
1147       else
1148            col_vec(vec_F~=1 & vec_F~=0)=nbcolor;
1149       end
1150    end
1151    nbcolor=nbcolor+1;
1152    if ~isempty(ivar_FF_vec)
1153        if isfield(PlotParam.Vectors,'CheckHideFalse') && PlotParam.Vectors.CheckHideFalse==1
1154            colorlist(nbcolor,:)=[NaN NaN NaN];% no plot of false vectors
1155        else
1156            colorlist(nbcolor,:)=[1 0 1];% magenta color
1157        end
1158        col_vec(vec_FF~=0)=nbcolor;
1159    end
1160    %plot vectors:
1161    quiresetn(haxes,vec_X,vec_Y,vec_U,vec_V,scale,colorlist,col_vec);   
1162
1163else
1164    hvec=findobj(haxes,'Tag','vel');
1165    if ~isempty(hvec)
1166        delete(hvec);
1167    end
1168    PlotParamOut=rmfield(PlotParamOut,'Vectors');
1169end
1170% nbvar=0;
1171
1172%store the coordinate extrema occupied by the field
1173if ~isempty(Data)
1174    MinX=[];
1175    MaxX=[];
1176    MinY=[];
1177    MaxY=[];
1178    fix_lim=isfield(PlotParam.Axes,'CheckFixLimits') && PlotParam.Axes.CheckFixLimits;
1179    if fix_lim
1180        if isfield(PlotParam.Axes,'MinX')&&isfield(PlotParam.Axes,'MaxX')&&isfield(PlotParam.Axes,'MinY')&&isfield(PlotParam.Axes,'MaxY')
1181            MinX=PlotParam.Axes.MinX;
1182            MaxX=PlotParam.Axes.MaxX;
1183            MinY=PlotParam.Axes.MinY;
1184            MaxY=PlotParam.Axes.MaxY;
1185        end  %else PlotParamOut.MinX =PlotParam.MinX...
1186    else
1187        if test_ima %both background image and vectors coexist, take the wider bound
1188            MinX=min(Coord_x);
1189            MaxX=max(Coord_x);
1190            MinY=min(Coord_y);
1191            MaxY=max(Coord_y);
1192            if test_vec
1193                MinX=min(MinX,min(vec_X));
1194                MaxX=max(MaxX,max(vec_X));
1195                MinY=min(MinY,min(vec_Y));
1196                MaxY=max(MaxY,max(vec_Y));
1197            end
1198        elseif test_vec
1199            MinX=min(vec_X);
1200            MaxX=max(vec_X);
1201            MinY=min(vec_Y);
1202            MaxY=max(vec_Y);
1203        end
1204    end
1205    PlotParamOut.Axes.MinX=MinX;
1206    PlotParamOut.Axes.MaxX=MaxX;
1207    PlotParamOut.Axes.MinY=MinY;
1208    PlotParamOut.Axes.MaxY=MaxY;
1209    if MaxX>MinX
1210        set(haxes,'XLim',[MinX MaxX]);% set x limits of frame in axes coordinates
1211    end
1212    if MaxY>MinY
1213        set(haxes,'YLim',[MinY MaxY]);% set x limits of frame in axes coordinates
1214    end
1215    set(haxes,'YDir','normal')
1216    set(get(haxes,'XLabel'),'String',[XName ' (' x_units ')']);
1217    set(get(haxes,'YLabel'),'String',[YName ' (' y_units ')']);
1218    PlotParamOut.Axes.x_units=x_units;
1219    PlotParamOut.Axes.y_units=y_units;
1220end
1221% if isfield(PlotParam,'Axes') && isfield(PlotParam.Axes,'CheckFixAspectRatio') && isequal(PlotParam.Axes.CheckFixAspectRatio,1)
1222%     set(haxes,'DataAspectRatioMode','manual')
1223%     if isfield(PlotParam.Axes,'AspectRatio')
1224%         set(haxes,'DataAspectRatio',[PlotParam.Axes.AspectRatio 1 1])
1225%     end
1226% else
1227%     set(haxes,'DataAspectRatioMode','auto')
1228% end
1229
1230%-------------------------------------------------------------------
1231% --- function for plotting vectors
1232%INPUT:
1233% haxes: handles of the plotting axes
1234% x,y,u,v: vectors coordinates and vector components to plot, arrays withb the same dimension
1235% scale: scaling factor for vector length representation
1236% colorlist(icolor,:): list of vector colors, dim (nbcolor,3), depending on color #i
1237% col_vec: matlab vector setting the color number #i for each velocity vector
1238function quiresetn(haxes,x,y,u,v,scale,colorlist,col_vec)
1239%-------------------------------------------------------------------
1240%define arrows
1241theta=0.5 ;%angle arrow
1242alpha=0.3 ;%length arrow
1243rot=alpha*[cos(theta) -sin(theta); sin(theta) cos(theta)]';
1244%find the existing lines
1245h=findobj(haxes,'Tag','vel');% search existing lines in the current axes
1246sizh=size(h);
1247set(h,'EraseMode','xor');
1248set(haxes,'NextPlot','replacechildren');
1249
1250%drawnow
1251%create lines (if no lines) or modify them
1252if ~isequal(size(col_vec),size(x))
1253    col_vec=ones(size(x));% case of error in col_vec input
1254end
1255sizlist=size(colorlist);
1256ncolor=sizlist(1);
1257
1258for icolor=1:ncolor
1259    %determine the line positions for each color icolor
1260    ind=find(col_vec==icolor);
1261    xc=x(ind);
1262    yc=y(ind);
1263    uc=u(ind)*scale;
1264    vc=v(ind)*scale;
1265    n=size(xc);
1266    xN=NaN*ones(size(xc));
1267    matx=[xc(:)-uc(:)/2 xc(:)+uc(:)/2 xN(:)]';
1268    matx=reshape(matx,1,3*n(2));
1269    maty=[yc(:)-vc(:)/2 yc(:)+vc(:)/2 xN(:)]';
1270    maty=reshape(maty,1,3*n(2));
1271   
1272    %determine arrow heads
1273    arrowplus=rot*[uc;vc];
1274    arrowmoins=rot'*[uc;vc];
1275    x1=xc+uc/2-arrowplus(1,:);
1276    x2=xc+uc/2;
1277    x3=xc+uc/2-arrowmoins(1,:);
1278    y1=yc+vc/2-arrowplus(2,:);
1279    y2=yc+vc/2;
1280    y3=yc+vc/2-arrowmoins(2,:);
1281    matxar=[x1(:) x2(:) x3(:) xN(:)]';
1282    matxar=reshape(matxar,1,4*n(2));
1283    matyar=[y1(:) y2(:) y3(:) xN(:)]';
1284    matyar=reshape(matyar,1,4*n(2));
1285    %draw the line or modify the existing ones
1286%     tri=reshape(1:3*length(uc),3,[])';   
1287    isn=isnan(colorlist(icolor,:));%test if color NaN
1288    if 2*icolor > sizh(1) %if icolor exceeds the number of existing ones
1289        if ~isn(1) %if the vectors are visible color not nan
1290            if n(2)>0
1291                hold on
1292                line(matx,maty,'Color',colorlist(icolor,:),'Tag','vel');% plot new lines
1293                line(matxar,matyar,'Color',colorlist(icolor,:),'Tag','vel');% plot arrows
1294            end
1295        end
1296    else
1297        if isn(1)
1298            delete(h(2*icolor-1))
1299            delete(h(2*icolor))
1300        else
1301            set(h(2*icolor-1),'Xdata',matx,'Ydata',maty);
1302            set(h(2*icolor-1),'Color',colorlist(icolor,:));
1303            set(h(2*icolor-1),'EraseMode','xor');
1304            set(h(2*icolor),'Xdata',matxar,'Ydata',matyar);
1305            set(h(2*icolor),'Color',colorlist(icolor,:));
1306            set(h(2*icolor),'EraseMode','xor');
1307        end
1308    end
1309end
1310if sizh(1) > 2*ncolor
1311    for icolor=ncolor+1 : sizh(1)/2%delete additional objects
1312        delete(h(2*icolor-1))
1313        delete(h(2*icolor))
1314    end
1315end
1316
1317%-------------------------------------------------------------------
1318% ---- determine tick positions for colorbar
1319function YTick=colbartick(MinA,MaxA)
1320%-------------------------------------------------------------------
1321%determine tick positions with "simple" values between MinA and MaxA
1322YTick=0;%default
1323maxabs=max([abs(MinA) abs(MaxA)]);
1324if maxabs>0
1325ord=10^(floor(log10(maxabs)));%order of magnitude
1326div=1;
1327siz2=1;
1328while siz2<2
1329    values=-10:div:10;
1330    ind=find((ord*values-MaxA)<0 & (ord*values-MinA)>0);%indices of 'values' such that MinA<ord*values<MaxA
1331    siz=size(ind);
1332    if siz(2)<4%if there are less than 4 selected values (4 levels)
1333        values=-9:0.5*div:9;
1334        ind=find((ord*values-MaxA)<0 & (ord*values-MinA)>0);
1335    end
1336    siz2=size(ind,2);
1337    div=div/10;
1338end
1339YTick=ord*values(ind);
1340end
1341
1342% -------------------------------------------------------------------------
1343% --- 'proj_grid': project  fields with unstructured coordinantes on a regular grid
1344function [A,rangx,rangy]=proj_grid(vec_X,vec_Y,vec_A,rgx_in,rgy_in,npxy_in)
1345% -------------------------------------------------------------------------
1346if length(vec_Y)<2
1347    msgbox_uvmat('ERROR','less than 2 points in proj_grid.m');
1348    return;
1349end
1350diffy=diff(vec_Y); %difference dy=vec_Y(i+1)-vec_Y(i)
1351index=find(diffy);% find the indices of vec_Y after wich a change of horizontal line occurs(diffy non zero)
1352if isempty(index); msgbox_uvmat('ERROR','points aligned along abscissa in proj_grid.m'); return; end;%points aligned% A FAIRE: switch to line plot.
1353diff2=diff(diffy(index));% diff2 = fluctuations of the detected vertical grid mesh dy
1354if max(abs(diff2))>0.001*abs(diffy(index(1))) % if max(diff2) is larger than 1/1000 of the first mesh dy
1355    % the data are not regularly spaced and must be interpolated  on a regular grid
1356    if exist('rgx_in','var') & ~isempty (rgx_in) & isnumeric(rgx_in) & length(rgx_in)==2%  positions imposed from input
1357        rangx=rgx_in; % first and last positions
1358        rangy=rgy_in;
1359        dxy(1)=1/(npxy_in(1)-1);%grid mesh in y
1360        dxy(2)=1/(npxy_in(2)-1);%grid mesh in x
1361        dxy(1)=(rangy(2)-rangy(1))/(npxy_in(1)-1);%grid mesh in y
1362        dxy(2)=(rangx(2)-rangx(1))/(npxy_in(2)-1);%grid mesh in x
1363    else % interpolation grid automatically determined
1364        rangx(1)=min(vec_X);
1365        rangx(2)=max(vec_X);
1366        rangy(2)=min(vec_Y);
1367        rangy(1)=max(vec_Y);
1368        dxymod=sqrt((rangx(2)-rangx(1))*(rangy(1)-rangy(2))/length(vec_X));
1369        dxy=[-dxymod/4 dxymod/4];% increase the resolution 4 times
1370    end
1371    xi=rangx(1):dxy(2):rangx(2);
1372    yi=rangy(1):dxy(1):rangy(2);
1373    A=griddata(vec_X,vec_Y,vec_A,xi,yi');
1374    A=reshape(A,length(yi),length(xi));
1375else
1376    x=vec_X(1:index(1));% the set of abscissa (obtained on the first line)
1377    indexend=index(end);% last vector index of line change
1378    ymax=vec_Y(indexend+1);% y coordinate AFTER line change
1379    ymin=vec_Y(index(1));
1380    y=vec_Y(index);
1381    y(length(y)+1)=ymax;
1382    nx=length(x);   %number of grid points in x
1383    ny=length(y);   % number of grid points in y
1384    B=(reshape(vec_A,nx,ny))'; %vec_A reshaped as a rectangular matrix
1385    [X,Y]=meshgrid(x,y);% positions X and Y also reshaped as matrix
1386
1387    %linear interpolation to improve the image resolution and/or adjust
1388    %to prescribed positions
1389    test_interp=1;
1390    if exist('rgx_in','var') & ~isempty (rgx_in) & isnumeric(rgx_in) & length(rgx_in)==2%  positions imposed from input
1391        rangx=rgx_in; % first and last positions
1392        rangy=rgy_in;
1393        npxy=npxy_in;
1394    else       
1395        rangx=[vec_X(1) vec_X(nx)];% first and last position found for x
1396          rangy=[max(ymax,ymin) min(ymax,ymin)];
1397        if max(nx,ny) <= 64 & isequal(npxy_in,'np>256')
1398            npxy=[8*ny 8*nx];% increase the resolution 8 times
1399        elseif max(nx,ny) <= 128 & isequal(npxy_in,'np>256')
1400            npxy=[4*ny 4*nx];% increase the resolution 4 times
1401        elseif max(nx,ny) <= 256 & isequal(npxy_in,'np>256')
1402            npxy=[2*ny 2*nx];% increase the resolution 2 times
1403        else
1404            npxy=[ny nx];
1405            test_interp=0; % no interpolation done
1406        end
1407    end
1408    if test_interp==1%if we interpolate
1409        xi=[rangx(1):(rangx(2)-rangx(1))/(npxy(2)-1):rangx(2)];
1410        yi=[rangy(1):(rangy(2)-rangy(1))/(npxy(1)-1):rangy(2)];
1411        [XI,YI]=meshgrid(xi,yi);
1412        A = interp2(X,Y,B,XI,YI);
1413    else %no interpolation for a resolution higher than 256
1414        A=B;
1415    end
1416end
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