source: trunk/src/plot_field.m @ 809

Last change on this file since 809 was 809, checked in by g7moreau, 10 years ago
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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'
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%=======================================================================
84% Copyright 2008-2014, LEGI UMR 5519 / CNRS UJF G-INP, Grenoble, France
85%   http://www.legi.grenoble-inp.fr
86%   Joel.Sommeria - Joel.Sommeria (A) legi.cnrs.fr
87%
88%     This file is part of the toolbox UVMAT.
89%
90%     UVMAT is free software; you can redistribute it and/or modify
91%     it under the terms of the GNU General Public License as published
92%     by the Free Software Foundation; either version 2 of the license,
93%     or (at your option) any later version.
94%
95%     UVMAT is distributed in the hope that it will be useful,
96%     but WITHOUT ANY WARRANTY; without even the implied warranty of
97%     MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
98%     GNU General Public License (see LICENSE.txt) for more details.
99%=======================================================================
100
101function [PlotType,PlotParamOut,haxes]= plot_field(Data,haxes,PlotParam)
102
103%% default input and output
104if ~exist('PlotParam','var'),PlotParam=[];end;
105PlotType='text'; %default
106if ~isfield(PlotParam,'Axes')
107    PlotParam.Axes=[];
108    if isfield(Data,'CoordUnit')
109        PlotParam.Axes.CheckFixAspectRatio=1;
110        PlotParam.Axes.AspectRatio=1; %set axes equal by default if CoordUnit is defined
111    end
112end
113PlotParamOut=PlotParam;%default
114
115%% check input structure
116% check the cells of fields :
117[CellInfo,NbDimArray,errormsg]=find_field_cells(Data);
118if ~isempty(errormsg)
119    msgbox_uvmat('ERROR',['input of plot_field/find_field_cells: ' errormsg]);
120    return
121end
122
123index_3D=find(NbDimArray>2,1);
124if ~isempty(index_3D)
125    msgbox_uvmat('ERROR','volume plot not implemented yet');
126    return
127end
128index_2D=find(NbDimArray==2);%find 2D fields
129index_1D=find(NbDimArray==1);
130index_0D=find(NbDimArray==0);
131
132%% test axes and figure
133testnewfig=1;%test to create a new figure (default)
134testzoomaxes=0;%test for the existence of a zoom secondary figure attached to the plotting axes
135if exist('haxes','var')
136    if ishandle(haxes)
137        if isequal(get(haxes,'Type'),'axes')
138            testnewfig=0;
139            AxeData=get(haxes,'UserData');
140            if isfield(AxeData,'ZoomAxes')&& ishandle(AxeData.ZoomAxes)
141                if isequal(get(AxeData.ZoomAxes,'Type'),'axes')
142                    testzoomaxes=1;
143                    zoomaxes=AxeData.ZoomAxes;
144                end
145            end
146        end
147    end
148end
149
150%% create a new figure and axes if the plotting axes does not exist
151if testnewfig
152    hfig=figure;
153    set(hfig,'Units','normalized')
154    haxes=axes;
155    set(haxes,'position',[0.13,0.2,0.775,0.73])
156    PlotParamOut.NextPlot='add'; %parameter for plot_profile
157else
158    hfig=get(haxes,'parent');
159    set(0,'CurrentFigure',hfig)% the parent of haxes becomes the current figure
160    set(hfig,'CurrentAxes',haxes)%  haxes becomes the current axes of the parent figure
161end
162
163%% set axes properties
164if isfield(PlotParamOut.Axes,'CheckFixLimits') && isequal(PlotParamOut.Axes.CheckFixLimits,1)  %adjust the graph limits
165    set(haxes,'XLimMode', 'manual')
166    set(haxes,'YLimMode', 'manual')
167else
168    set(haxes,'XLimMode', 'auto')
169    set(haxes,'YLimMode', 'auto')
170end
171
172if isfield(PlotParamOut.Axes,'CheckFixAspectRatio') && isequal(PlotParamOut.Axes.CheckFixAspectRatio,1)&&isfield(PlotParamOut.Axes,'AspectRatio')
173    set(haxes,'DataAspectRatioMode','manual')
174    set(haxes,'DataAspectRatio',[PlotParamOut.Axes.AspectRatio 1 1])
175else
176    set(haxes,'DataAspectRatioMode','auto')%automatic aspect ratio
177end
178
179errormsg='';
180AxeData=get(haxes,'UserData');
181
182%% 2D plots
183if isempty(index_2D)
184    plot_plane([],[],haxes,[]);%removes images or vector plots in the absence of 2D field plot
185else  %plot 2D field
186%     if ~exist('PosColorbar','var'),PosColorbar=[];end;
187    [tild,PlotParamOut,PlotType,errormsg]=plot_plane(Data,CellInfo(index_2D),haxes,PlotParamOut);
188    AxeData.NbDim=2;
189    if testzoomaxes && isempty(errormsg)
190        [zoomaxes,PlotParamOut,tild,errormsg]=plot_plane(Data,CellInfo(index_2D),zoomaxes,PlotParamOut);
191        AxeData.ZoomAxes=zoomaxes;
192    end
193end
194
195%% 1D plot (usual graph y vs x)
196if isempty(index_1D)
197    if ~isempty(haxes)
198        plot_profile([],[],haxes);%removes usual praphs y vs x in the absence of 1D field plot
199    end
200else %plot 1D field (usual graph y vs x)
201    CheckHold=0;
202    if isfield(PlotParam,'CheckHold')
203        CheckHold= PlotParam.CheckHold;
204    end       
205    PlotParamOut.Axes=plot_profile(Data,CellInfo(index_1D),haxes,PlotParamOut.Axes,CheckHold);%
206    if testzoomaxes
207        [zoomaxes,PlotParamOut.Axes]=plot_profile(Data,CellInfo(index_1D),zoomaxes,PlotParamOut.Axes,CheckHold);
208        AxeData.ZoomAxes=zoomaxes;
209    end
210    PlotType='line';
211end
212
213%% aspect ratio
214AspectRatio=get(haxes,'DataAspectRatio');
215PlotParamOut.Axes.AspectRatio=AspectRatio(1)/AspectRatio(2);
216
217%% text display
218htext=findobj(hfig,'Tag','TableDisplay');
219hchecktable=findobj(hfig,'Tag','CheckTable');
220% if isempty(index_2D) && isempty(index_1D)%text display alone
221%     htext=findobj(hfig,'Tag','TableDisplay');
222% else  %text display added to plot
223%     %htext=findobj(hfig,'Tag','text_display');
224% end
225if ~isempty(htext)&&~isempty(hchecktable)
226    if isempty(index_0D)
227        set(htext,'Data',{})
228        set(htext,'visible','off')
229        set(hchecktable,'visible','off')
230        set(hchecktable,'Value',0)
231    else
232        errormsg=plot_text(Data,CellInfo(index_0D),htext);
233        set(htext,'visible','on')
234        set(hchecktable,'visible','on')
235        set(hchecktable,'Value',1)
236    end
237    set(hfig,'Unit','pixels');
238    set(htext,'Unit','pixels')
239    PosFig=get(hfig,'Position');
240    % case of no plot with view_field: only text display
241    if strcmp(get(hfig,'Tag'),'view_field')
242        if isempty(index_1D) && isempty(index_2D)% case of no plot: only text display
243            set(haxes,'Visible','off')         
244            PosTable=get(htext,'Position');
245            set(hfig,'Position',[PosFig(1) PosFig(2)  PosTable(3) PosTable(4)])
246        else
247            set(haxes,'Visible','on')
248            set(hfig,'Position',[PosFig(1) PosFig(2)  877 677])%default size for view_field
249        end
250    end
251end
252
253%% display error message
254if ~isempty(errormsg)
255    msgbox_uvmat('ERROR', errormsg)
256end
257
258%% update the parameters stored in AxeData
259if ishandle(haxes)&&( ~isempty(index_2D)|| ~isempty(index_1D))
260%     AxeData=[];
261    if isfield(PlotParamOut,'MinX')
262        AxeData.RangeX=[PlotParamOut.MinX PlotParamOut.MaxX];
263        AxeData.RangeY=[PlotParamOut.MinY PlotParamOut.MaxY];
264    end
265    set(haxes,'UserData',AxeData)
266end
267
268%% update the plotted field stored in parent figure
269if ~isempty(index_2D)|| ~isempty(index_1D)
270    FigData=get(hfig,'UserData');
271    if strcmp(get(hfig,'tag'),'view_field')||strcmp(get(hfig,'tag'),'uvmat')
272        FigData.(get(haxes,'tag'))=Data;
273        set(hfig,'UserData',FigData)
274    end
275end
276
277%-------------------------------------------------------------------
278% --- plot 0D fields: display data values without plot
279%------------------------------------------------------------------
280function errormsg=plot_text(FieldData,CellInfo,htext)
281
282errormsg='';
283txt_cell={};
284Data={};
285VarIndex=[];
286for icell=1:length(CellInfo)
287   
288    % select types of  variables to be projected
289    ListProj={'VarIndex_scalar','VarIndex_image','VarIndex_color','VarIndex_vector_x','VarIndex_vector_y'};
290    check_proj=false(size(FieldData.ListVarName));
291    for ilist=1:numel(ListProj)
292        if isfield(CellInfo{icell},ListProj{ilist})
293            check_proj(CellInfo{icell}.(ListProj{ilist}))=1;
294        end
295    end
296    VarIndex=[VarIndex find(check_proj)];
297end
298
299% data need to be displayed in a table
300if strcmp(get(htext,'Type'),'uitable')% display data in a table
301    VarNameCell=cell(1,numel(VarIndex));% prepare list of variable names to display (titles of columns)
302    VarLength=zeros(1,numel(VarIndex));  % default number of values for each variable
303    for ivar=1:numel(VarIndex)
304        VarNameCell{ivar}=FieldData.ListVarName{VarIndex(ivar)};
305        VarLength(ivar)=numel(FieldData.(VarNameCell{ivar}));
306    end
307    set(htext,'ColumnName',VarNameCell)
308    Data=cell(max(VarLength),numel(VarIndex));% prepare the table of data display
309   
310    for ivar=1:numel(VarIndex)
311        VarValue=FieldData.(VarNameCell{ivar});
312        VarValue=reshape(VarValue,[],1);% reshape values array in a column
313        Data(1:numel(VarValue),ivar)=num2cell(VarValue);
314    end
315    set(htext,'Data',Data)
316end
317%         if numel(VarValue)>1 && numel(VarValue)<10 % case of a variable with several values
318%             for ind=1:numel(VarValue)
319%                 VarNameCell{1,ind}=[VarName '_' num2str(ind)];% indicate each value by an index
320%             end
321%         else
322%             VarNameCell={VarName};
323%         end
324%         if numel(VarValue)<10
325%             if isempty(VarValue)
326%                 VarValueCell={'[]'};
327%             else
328%                 VarValueCell=num2cell(VarValue);
329%             end
330%             if isempty(Data)
331%                 Data =[VarNameCell VarValueCell];
332%             else
333%                 Data =[Data [VarNameCell VarValueCell]];
334%             end
335%         else
336%             if isempty(Data)
337%                 Data =[VarNameCell; num2cell(VarValue)];
338%             else
339%                 Data =[Data [VarNameCell; {['size ' num2str(size(VarValue))]}]];
340%             end
341%         end
342%         if size(VarValue,1)==1
343%             txt=[VarName '=' num2str(VarValue)];
344%             txt_cell=[txt_cell;{txt}];
345%         end
346%     end
347% end
348% if strcmp(get(htext,'Type'),'uitable')% display data in a table
349%
350
351%     set(htext,'Data',Data(2:end,:))
352% else  % display in a text edit box
353%     set(htext,'String',txt_cell)
354%     set(htext,'UserData',txt_cell)% for temporary storage when the edit box is used for mouse display
355% end
356
357
358%-------------------------------------------------------------------
359% --- plot 1D fields (usual x,y plots)
360%-------------------------------------------------------------------
361function CoordinatesOut=plot_profile(data,CellInfo,haxes,Coordinates,CheckHold)
362
363%% initialization
364if ~exist('Coordinates','var')
365    Coordinates=[];
366end
367CoordinatesOut=Coordinates; %default
368hfig=get(haxes,'parent');
369legend_str={};
370
371%% suppress existing plot if empty data
372if isempty(data)
373    hplot=findobj(haxes,'tag','plot_line');
374    if ~isempty(hplot)
375        delete(hplot)
376    end
377    hlegend=findobj(hfig,'tag','legend');
378    if ~isempty(hlegend)
379        delete(hlegend)
380    end
381    return
382end
383
384%% set the colors of the successive plots (designed to produce rgb for the three components of color images)
385ColorOrder=[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];
386set(hfig,'DefaultAxesColorOrder',ColorOrder)
387% if isfield(Coordinates,'NextPlot')
388%     set(haxes,'NextPlot',Coordinates.NextPlot)
389% end
390if CheckHold
391    set(haxes,'NextPlot','add')
392else
393    set(haxes,'NextPlot','replace')
394end
395
396%% prepare the string for plot command
397plotstr='hhh=plot(';
398% coord_x_index=[];
399xtitle='';
400ytitle='';
401test_newplot=~CheckHold;
402MinX=[];
403MaxX=[];
404MinY_cell=[];
405MaxY_cell=[];
406%loop on input  fields
407for icell=1:numel(CellInfo)
408    VarIndex=CellInfo{icell}.VarIndex;%  indices of the selected variables in the list data.ListVarName
409    coord_x_index=CellInfo{icell}.CoordIndex;
410    testplot=ones(size(data.ListVarName));%default test for plotted variables
411    coord_x_name{icell}=data.ListVarName{coord_x_index};
412    coord_x{icell}=data.(data.ListVarName{coord_x_index});%coordinate variable set as coord_x
413    if isempty(find(strcmp(coord_x_name{icell},coord_x_name(1:end-1)), 1)) %xtitle not already selected
414        xtitle=[xtitle coord_x_name{icell}];
415        if isfield(data,'VarAttribute')&& numel(data.VarAttribute)>=coord_x_index && isfield(data.VarAttribute{coord_x_index},'units')
416            xtitle=[xtitle '(' data.VarAttribute{coord_x_index}.units '), '];
417        else
418            xtitle=[xtitle ', '];
419        end
420    end
421    if ~isempty(coord_x{icell})
422        MinX(icell)=min(coord_x{icell});
423        MaxX(icell)=max(coord_x{icell});
424        testplot(coord_x_index)=0;
425        if isfield(CellInfo{icell},'VarIndex_ancillary')
426            testplot(CellInfo{icell}.VarIndex_ancillary)=0;
427        end
428        if isfield(CellInfo{icell},'VarIndex_warnflag')
429            testplot(CellInfo{icell}.VarIndex_warnflag)=0;
430        end
431        if isfield(data,'VarAttribute')
432            VarAttribute=data.VarAttribute;
433            for ivar=1:length(VarIndex)
434                if length(VarAttribute)>=VarIndex(ivar) && isfield(VarAttribute{VarIndex(ivar)},'long_name')
435                    plotname{VarIndex(ivar)}=VarAttribute{VarIndex(ivar)}.long_name;
436                else
437                    plotname{VarIndex(ivar)}=data.ListVarName{VarIndex(ivar)};%name for display in plot A METTRE
438                end
439            end
440        end
441        if isfield(CellInfo{icell},'VarIndex_discrete')
442            charplot_0='''+''';
443        else
444            charplot_0='''-''';
445        end
446        MinY=[];
447        MaxY=[];%default
448       
449        nbplot=0;
450        for ivar=1:length(VarIndex)
451            if testplot(VarIndex(ivar))
452                VarName=data.ListVarName{VarIndex(ivar)};
453                nbplot=nbplot+1;
454                ytitle=[ytitle VarName];
455                if isfield(data,'VarAttribute')&& numel(data.VarAttribute)>=VarIndex(ivar) && isfield(data.VarAttribute{VarIndex(ivar)},'units')
456                    ytitle=[ytitle '(' data.VarAttribute{VarIndex(ivar)}.units '), '];
457                else
458                    ytitle=[ytitle ', '];
459                end
460                eval(['data.' VarName '=squeeze(data.' VarName ');'])
461                MinY(ivar)=min(min(data.(VarName)));
462                MaxY(ivar)=max(max(data.(VarName)));
463                plotstr=[plotstr 'coord_x{' num2str(icell) '},data.' VarName ',' charplot_0 ','];
464                eval(['nbcomponent2=size(data.' VarName ',2);']);
465                eval(['nbcomponent1=size(data.' VarName ',1);']);
466                if numel(coord_x{icell})==2
467                    coord_x{icell}=linspace(coord_x{icell}(1),coord_x{icell}(2),nbcomponent1);
468                end
469                if nbcomponent1==1|| nbcomponent2==1
470                    legend_str=[legend_str {VarName}]; %variable with one component
471                else  %variable with severals  components
472                    for ic=1:min(nbcomponent1,nbcomponent2)
473                        legend_str=[legend_str [VarName '_' num2str(ic)]]; %variable with severals  components
474                    end                                                   % labeled by their index (e.g. color component)
475                end
476            end
477        end
478        if ~isempty(MinY)
479            MinY_cell(icell)=min(MinY);
480            MaxY_cell(icell)=max(MaxY);
481        end
482    end
483end
484
485%% activate the plot
486if  ~isequal(plotstr,'hhh=plot(') 
487    set(hfig,'CurrentAxes',haxes)
488    tag=get(haxes,'tag');   
489    %%%
490    plotstr=[plotstr '''tag'',''plot_line'');'];   
491    eval(plotstr)                  %execute plot (instruction  plotstr)
492    %%%
493    set(haxes,'tag',tag)% restitute the axes tag (removed by the command plot)
494    set(haxes,'ColorOrder',ColorOrder)% restitute the plot color order (to get red green blue for histograms or cuts of color images)
495    grid(haxes, 'on')
496    hxlabel=xlabel(xtitle(1:end-2));% xlabel (removes ', ' at the end)
497    set(hxlabel,'Interpreter','none')% desable tex interpreter
498    if length(legend_str)>=1
499        hylabel=ylabel(ytitle(1:end-2));% ylabel (removes ', ' at the end)
500        set(hylabel,'Interpreter','none')% desable tex interpreter
501    end
502    if ~isempty(legend_str)
503        hlegend=findobj(hfig,'Tag','legend');
504        if isempty(hlegend)
505            hlegend=legend(legend_str);
506            txt=ver('MATLAB');
507            Release=txt.Release;
508            relnumb=str2double(Release(3:4));% should be changed to Version for better compatibility
509            if relnumb >= 14
510                set(hlegend,'Interpreter','none')% desable tex interpreter
511            end
512        else
513            legend_old=get(hlegend,'String');
514            if isequal(size(legend_old,1),size(legend_str,1))&&~isequal(legend_old,legend_str)
515                set(hlegend,'String',[legend_old legend_str]);
516            end
517        end
518    end
519    title_str='';
520    if isfield(data,'filename')
521       [Path, title_str, ext]=fileparts(data.filename);
522       title_str=[title_str ext];
523    end
524    if isfield(data,'Action')&&isfield(data.Action,'ActionName')
525        if ~isequal(title_str,'')
526            title_str=[title_str ', '];
527        end
528        title_str=[title_str data.Action.ActionName];
529    end
530    htitle=title(title_str);
531    set(htitle,'Interpreter','none')% desable tex interpreter
532end
533
534%% determine axes bounds
535fix_lim=isfield(Coordinates,'CheckFixLimits') && Coordinates.CheckFixLimits;
536check_lim=isfield(Coordinates,'MinX')&&isfield(Coordinates,'MaxX')&&isfield(Coordinates,'MinY')&&isfield(Coordinates,'MaxY');
537if fix_lim
538    if ~check_lim
539        fix_lim=0; %free limits if limits are not set,
540    end
541end
542if fix_lim
543    set(haxes,'XLim',[Coordinates.MinX Coordinates.MaxX])
544    set(haxes,'YLim',[Coordinates.MinY Coordinates.MaxY])
545else
546    if ~isempty(MinX)
547        if check_lim
548            CoordinatesOut.MinX=min(min(MinX),CoordinatesOut.MinX);
549            CoordinatesOut.MaxX=max(max(MaxX),CoordinatesOut.MaxX);
550        else
551            CoordinatesOut.MinX=min(MinX);
552            CoordinatesOut.MaxX=max(MaxX);
553        end
554    end
555    if ~isempty(MinY_cell)
556        if check_lim
557            CoordinatesOut.MinY=min(min(MinY_cell),CoordinatesOut.MinY);
558            CoordinatesOut.MaxY=max(max(MaxY_cell),CoordinatesOut.MaxY);
559        else
560            CoordinatesOut.MinY=min(MinY_cell);
561            CoordinatesOut.MaxY=max(MaxY_cell);
562        end
563    end
564end
565
566%% determine plot aspect ratio
567if isfield(Coordinates,'CheckFixAspectRatio') && isequal(Coordinates.CheckFixAspectRatio,1)&&isfield(Coordinates,'AspectRatio')
568    set(haxes,'DataAspectRatioMode','manual')
569    set(haxes,'DataAspectRatio',[Coordinates.AspectRatio 1 1])
570else
571    set(haxes,'DataAspectRatioMode','auto')%automatic aspect ratio
572    AspectRatio=get(haxes,'DataAspectRatio');
573    CoordinatesOut.AspectRatio=AspectRatio(1)/AspectRatio(2);
574end
575
576%-------------------------------------------------------------------
577function [haxes,PlotParamOut,PlotType,errormsg]=plot_plane(Data,CellInfo,haxes,PlotParam)
578%-------------------------------------------------------------------
579PlotType='plane';
580grid(haxes, 'off')% remove grid (possibly remaining from other graphs)
581
582%default plotting parameters
583if ~isfield(PlotParam,'Scalar')
584    PlotParam.Scalar=[];
585end
586if ~isfield(PlotParam,'Vectors')
587    PlotParam.Vectors=[];
588end
589PlotParamOut=PlotParam;%default
590errormsg='';%default
591
592hfig=get(haxes,'parent');%handle of the figure containing the plot axes
593PosColorbar=[];
594FigData=get(hfig,'UserData');
595if isfield(FigData,'PosColorbar')
596    PosColorbar=FigData.PosColorbar;
597end
598hcol=findobj(hfig,'Tag','Colorbar'); %look for colorbar axes
599hima=findobj(haxes,'Tag','ima');% search existing image in the current axes
600test_ima=0; %default: test for image or map plot
601test_vec=0; %default: test for vector plots
602test_black=0;
603test_false=0;
604test_C=0;
605XName='';
606x_units='';
607YName='';
608y_units='';
609
610% loop on the input field cells
611for icell=1:numel(CellInfo)
612    if strcmp(CellInfo{icell}.CoordType,'tps') %do not plot directly tps data (used for projection only)
613        continue
614    end
615    ivar_X=CellInfo{icell}.CoordIndex(end); % defines (unique) index for the variable representing unstructured x coordinate (default =[])
616    ivar_Y=CellInfo{icell}.CoordIndex(end-1); % defines (unique)index for the variable representing unstructured y coordinate (default =[])
617    ivar_C=[];
618    if isfield(CellInfo{icell},'VarIndex_scalar')
619        ivar_C=[ivar_C CellInfo{icell}.VarIndex_scalar];
620    end
621    if isfield(CellInfo{icell},'VarIndex_image')
622        ivar_C=[ivar_C CellInfo{icell}.VarIndex_image];
623    end
624    if isfield(CellInfo{icell},'VarIndex_color')
625        ivar_C=[ivar_C CellInfo{icell}.VarIndex_color];
626    end
627    if isfield(CellInfo{icell},'VarIndex_ancillary')
628        ivar_C=[ivar_C CellInfo{icell}.VarIndex_ancillary];
629    end
630    if numel(ivar_C)>1
631        errormsg= 'error in plot_field: too many scalar inputs';
632        return
633    end
634    ivar_F=[];
635    if isfield(CellInfo{icell},'VarIndex_warnflag')
636        ivar_F=CellInfo{icell}.VarIndex_warnflag; %defines index (unique) for warning flag variable
637    end
638    ivar_FF_vec=[];
639    if isfield(CellInfo{icell},'VarIndex_vector_x')&&isfield(CellInfo{icell},'VarIndex_vector_y') % vector components detected
640        if test_vec% a vector field has been already detected
641            errormsg='error in plot_field: attempt to plot two vector fields: to get the difference project on a plane with mode interp';
642            return
643        else
644            test_vec=1;
645            if isfield(CellInfo{icell},'VarIndex_errorflag')
646                ivar_FF_vec=CellInfo{icell}.VarIndex_errorflag; %defines index (unique) for error flag variable
647            end
648            vec_U=Data.(Data.ListVarName{CellInfo{icell}.VarIndex_vector_x});
649            vec_V=Data.(Data.ListVarName{CellInfo{icell}.VarIndex_vector_y});
650            if strcmp(CellInfo{icell}.CoordType,'scattered')%2D field with unstructured coordinates
651                XName=Data.ListVarName{CellInfo{icell}.CoordIndex(end)};
652                YName=Data.ListVarName{CellInfo{icell}.CoordIndex(end-1)};
653                vec_X=reshape(Data.(XName),[],1); %transform vectors in column matlab vectors
654                vec_Y=reshape(Data.(YName),[],1);
655            elseif strcmp(CellInfo{icell}.CoordType,'grid')%2D field with structured coordinates
656                y=Data.(Data.ListVarName{CellInfo{icell}.CoordIndex(end-1)});
657                x=Data.(Data.ListVarName{CellInfo{icell}.CoordIndex(end)});
658                if numel(y)==2 % y defined by first and last values on aregular mesh
659                    y=linspace(y(1),y(2),size(vec_U,1));
660                end
661                if numel(x)==2 % y defined by first and last values on aregular mesh
662                    x=linspace(x(1),x(2),size(vec_U,2));
663                end
664                [vec_X,vec_Y]=meshgrid(x,y);
665            end
666            if isfield(PlotParam.Vectors,'ColorScalar') && ~isempty(PlotParam.Vectors.ColorScalar)
667                [VarVal,ListVarName,VarAttribute,errormsg]=calc_field_interp([],Data,PlotParam.Vectors.ColorScalar);
668                if ~isempty(VarVal)
669                    vec_C=reshape(VarVal{1},1,numel(VarVal{1}));
670                    test_C=1;
671                end
672            end
673            if ~isempty(ivar_F)%~(isfield(PlotParam.Vectors,'HideWarning')&& isequal(PlotParam.Vectors.HideWarning,1))
674%                 if test_vec
675                    vec_F=Data.(Data.ListVarName{ivar_F}); % warning flags for  dubious vectors
676                    if  ~(isfield(PlotParam.Vectors,'CheckHideWarning') && isequal(PlotParam.Vectors.CheckHideWarning,1))
677                        test_black=1;
678                    end
679%                 end
680            end
681            if ~isempty(ivar_FF_vec) %&& ~test_false
682%                 if test_vec% TODO: deal with FF for structured coordinates
683                    vec_FF=Data.(Data.ListVarName{ivar_FF_vec}); % flags for false vectors
684%                 end
685            end
686        end
687    elseif ~isempty(ivar_C) %scalar or image
688        if test_ima
689            errormsg='attempt to plot two scalar fields or images';
690            return
691        end
692        A=squeeze(Data.(Data.ListVarName{ivar_C}));% scalar represented as color image
693        test_ima=1;
694        if strcmp(CellInfo{icell}.CoordType,'scattered')%2D field with unstructured coordinates
695            A=reshape(A,1,[]);
696            XName=Data.ListVarName{ivar_X};
697            YName=Data.ListVarName{ivar_Y};
698            eval(['Coord_x=reshape(Data.' XName ',1,[]);'])
699            eval(['Coord_y=reshape(Data.' YName ',1,[]);'])
700            [A,Coord_x,Coord_y]=proj_grid(Coord_x',Coord_y',A',[],[],'np>256');  % interpolate on a grid
701            if isfield(Data,'VarAttribute')
702                if numel(Data.VarAttribute)>=ivar_X && isfield(Data.VarAttribute{ivar_X},'units')
703                    x_units=[' (' Data.VarAttribute{ivar_X}.units ')'];
704                end
705                if numel(Data.VarAttribute)>=ivar_Y && isfield(Data.VarAttribute{ivar_Y},'units')
706                    y_units=[' (' Data.VarAttribute{ivar_Y}.units ')'];
707                end
708            end
709        elseif strcmp(CellInfo{icell}.CoordType,'grid')%2D field with structured coordinates
710            YName=Data.ListVarName{CellInfo{icell}.CoordIndex(end-1)};
711            Coord_y=Data.(YName);
712            Coord_x=Data.(Data.ListVarName{CellInfo{icell}.CoordIndex(end)});
713            test_interp_X=0; %default, regularly meshed X coordinate
714            test_interp_Y=0; %default, regularly meshed Y coordinate
715            if isfield(Data,'VarAttribute')
716                if numel(Data.VarAttribute)>=CellInfo{icell}.CoordIndex(end) && isfield(Data.VarAttribute{CellInfo{icell}.CoordIndex(end)},'units')
717                    x_units=Data.VarAttribute{CellInfo{icell}.CoordIndex(end)}.units;
718                end
719                if numel(Data.VarAttribute)>=CellInfo{icell}.CoordIndex(end-1) && isfield(Data.VarAttribute{CellInfo{icell}.CoordIndex(end-1)},'units')
720                    y_units=Data.VarAttribute{CellInfo{icell}.CoordIndex(end-1)}.units;
721                end
722            end
723            if numel(Coord_y)>2
724                DCoord_y=diff(Coord_y);
725                DCoord_y_min=min(DCoord_y);
726                DCoord_y_max=max(DCoord_y);
727                if sign(DCoord_y_min)~=sign(DCoord_y_max);% =1 for increasing values, 0 otherwise
728                    errormsg=['errror in plot_field.m: non monotonic dimension variable ' Data.ListVarName{VarRole.coord(1)} ];
729                    return
730                end
731                test_interp_Y=(DCoord_y_max-DCoord_y_min)> 0.0001*abs(DCoord_y_max);
732            end
733            if numel(Coord_x)>2
734                DCoord_x=diff(Coord_x);
735                DCoord_x_min=min(DCoord_x);
736                DCoord_x_max=max(DCoord_x);
737                if sign(DCoord_x_min)~=sign(DCoord_x_max);% =1 for increasing values, 0 otherwise
738                    errormsg=['errror in plot_field.m: non monotonic dimension variable ' Data.ListVarName{VarRole.coord(2)} ];
739                    return
740                end
741                test_interp_X=(DCoord_x_max-DCoord_x_min)> 0.0001*abs(DCoord_x_max);
742            end
743            if test_interp_Y
744                npxy(1)=max([256 floor((Coord_y(end)-Coord_y(1))/DCoord_y_min) floor((Coord_y(end)-Coord_y(1))/DCoord_y_max)]);
745                yI=linspace(Coord_y(1),Coord_y(end),npxy(1));
746                if ~test_interp_X
747                    xI=linspace(Coord_x(1),Coord_x(end),size(A,2));%default
748                    Coord_x=xI;
749                end
750            end
751            if test_interp_X
752                npxy(2)=max([256 floor((Coord_x(end)-Coord_x(1))/DCoord_x_min) floor((Coord_x(end)-Coord_x(1))/DCoord_x_max)]);
753                xI=linspace(Coord_x(1),Coord_x(end),npxy(2));
754                if ~test_interp_Y
755                    yI=linspace(Coord_y(1),Coord_y(end),size(A,1));
756                    Coord_y=yI;
757                end
758            end
759            if test_interp_X || test_interp_Y
760                [Coord_x2D,Coord_y2D]=meshgrid(Coord_x,Coord_y);
761                A=interp2(Coord_x2D,Coord_y2D,double(A),xI,yI');
762            end
763            Coord_x=[Coord_x(1) Coord_x(end)];% keep only the lower and upper bounds for image represnetation
764            Coord_y=[Coord_y(1) Coord_y(end)];
765        end
766    end
767    %define coordinates as CoordUnits, if not defined as attribute for each variable
768    if isfield(Data,'CoordUnit')
769        if isempty(x_units)
770            x_units=Data.CoordUnit;
771        end
772        if isempty(y_units)
773            y_units=Data.CoordUnit;
774        end
775    end   
776end
777PlotParamOut=PlotParam; % output plot parameters equal to input by default
778
779%%   image or scalar plot %%%%%%%%%%%%%%%%%%%%%%%%%%
780if test_ima
781   
782    % distinguish B/W and color images
783    np=size(A);%size of image
784    siz=numel(np);
785    if siz>3
786        errormsg=['unrecognized scalar type: ' num2str(siz) ' dimensions'];
787        return
788    end
789    if siz==3
790        if np(3)==1
791            siz=2;%B W image
792        elseif np(3)==3
793            siz=3;%color image
794        else
795            errormsg=['unrecognized scalar type in plot_field: considered as 2D field with ' num2str(np(3)) ' color components'];
796            return
797        end
798    end
799   
800    %set the color map
801    if isfield(PlotParam.Scalar,'CheckBW') && ~isempty(PlotParam.Scalar.CheckBW)
802        BW=PlotParam.Scalar.CheckBW; %BW=0 color imposed, else gray scale imposed.
803    else % BW imposed automatically chosen
804        BW=(siz==2) && (isa(A,'uint8')|| isa(A,'uint16'));% non color images represented in gray scale by default
805        PlotParamOut.Scalar.CheckBW=BW;
806    end
807   
808            % determine the plot option 'image' or 'contours'
809    if isfield(PlotParam.Scalar,'ListContour')
810        CheckContour=strcmp(PlotParam.Scalar.ListContour,'contours');% =1 for contour plot option
811    else
812        CheckContour=0; %default
813    end
814   
815    %case of grey level images or contour plot
816    if siz==2
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(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        if PlotParam.Scalar.CheckFixScalar && ~isempty(PlotParam.Scalar.MaxA) && isnumeric(PlotParam.Scalar.MaxA) 
842            MaxA=double(PlotParam.Scalar.MaxA); % max value set as input
843        else
844            MaxA=double(max(max(A))); % max value set as min of non NaN scalar values
845        end
846       
847        PlotParamOut.Scalar.MinA=MinA;
848        PlotParamOut.Scalar.MaxA=MaxA;
849        PlotParamOut.Scalar.Npx=size(A,2);
850        PlotParamOut.Scalar.Npy=size(A,1);
851       
852        % case of contour plot
853        if CheckContour
854            if ~isempty(hima) && ishandle(hima)
855                delete(hima) % delete existing image
856            end
857           
858            % set the contour values
859            if ~isfield(PlotParam.Scalar,'IncrA')
860                PlotParam.Scalar.IncrA=[];% automatic contour interval
861            end
862            if ~isempty(PlotParam.Scalar.IncrA) && isnumeric(PlotParam.Scalar.IncrA)
863                interval=PlotParam.Scalar.IncrA;
864            else % automatic contour interval
865                cont=colbartick(MinA,MaxA);
866                interval=cont(2)-cont(1);%default
867                PlotParamOut.Scalar.IncrA=interval;% set the interval as output for display on the GUI
868            end
869            %B=A;
870            abscontmin=interval*floor(MinA/interval);
871            abscontmax=interval*ceil(MaxA/interval);
872            contmin=interval*floor(min(min(A))/interval);
873            contmax=interval*ceil(max(max(A))/interval);
874            cont_pos_plus=0:interval:contmax;% zero and positive contour values (plotted as solid lines)
875            cont_pos_min=double(contmin):interval:-interval;% negative contour values (plotted as dashed lines)
876            cont_pos=[cont_pos_min cont_pos_plus];% set of all contour values
877           
878            sizpx=(Coord_x(end)-Coord_x(1))/(np(2)-1);
879            sizpy=(Coord_y(1)-Coord_y(end))/(np(1)-1);
880            x_cont=Coord_x(1):sizpx:Coord_x(end); % pixel x coordinates for image display
881            y_cont=Coord_y(1):-sizpy:Coord_y(end); % pixel x coordinates for image display
882           
883            %axes(haxes)% set the input axes handle as current axis
884
885           % colormap(map);
886           tag_axes=get(haxes,'Tag');% axes tag
887           Opacity=1;
888           if isfield(PlotParam.Scalar,'Opacity')&&~isempty(PlotParam.Scalar.Opacity)
889               Opacity=PlotParam.Scalar.Opacity;
890           end
891           % fill the space between contours if opacity is undefined or =1
892           if isequal(Opacity,1)
893               [var,hcontour]=contour(haxes,x_cont,y_cont,A,cont_pos);% determine all contours
894               set(hcontour,'Fill','on')% fill the space between contours
895               set(hcontour,'LineStyle','none')
896               hold on
897           end
898           [var_p,hcontour_p]=contour(haxes,x_cont,y_cont,A,cont_pos_plus,'k-');% draw the contours for positive values as solid lines
899           hold on
900           [var_m,hcontour_m]=contour(haxes,x_cont,y_cont,A,cont_pos_min,'--');% draw the contours for negative values as dashed lines
901           if isequal(Opacity,1)
902               set(hcontour_m,'LineColor',[1 1 1])% draw negative contours in white (better visibility in dark background)
903           end
904           set(haxes,'Tag',tag_axes);% restore axes tag (removed by the matlab fct contour !)
905           hold off
906           
907            %determine the color scale and map
908            caxis([abscontmin abscontmax])
909            if BW
910                vec=linspace(0,1,(abscontmax-abscontmin)/interval);%define a greyscale colormap with steps interval
911                map=[vec' vec' vec'];
912                colormap(map);
913            else
914                colormap('default'); % default matlab colormap ('jet')
915            end
916           
917            if isfield(PlotParam.Axes,'CheckFixAspectRatio') && isequal(PlotParam.Axes.CheckFixAspectRatio,1)
918                set(haxes,'DataAspectRatioMode','manual')
919                if isfield(PlotParam.Axes,'AspectRatio')
920                    set(haxes,'DataAspectRatio',[PlotParam.Axes.AspectRatio 1 1])
921                else
922                    set(haxes,'DataAspectRatio',[1 1 1])
923                end
924            end
925        else     
926        % set  colormap for  image display
927            % rescale the grey levels with min and max, put a grey scale colorbar
928%             B=A;
929            if BW
930                vec=linspace(0,1,255);%define a linear greyscale colormap
931                map=[vec' vec' vec'];
932                colormap(map);  %grey scale color map
933            else
934                colormap('default'); % standard false colors for div, vort , scalar fields
935            end
936        end
937       
938        % case of color images
939    else
940        if BW
941            A=uint16(sum(A,3));
942        else
943            A=uint8(A);
944        end
945        MinA=0;
946        MaxA=255;
947    end
948   
949    % display usual image
950    if ~CheckContour
951        % interpolate field to increase resolution of image display
952        test_interp=0;
953        if size(A,3)==1 % scalar of B/W image
954            test_interp=1;
955            if max(np) <= 64
956                npxy=8*np;% increase the resolution 8 times
957            elseif max(np) <= 128
958                npxy=4*np;% increase the resolution 4 times
959            elseif max(np) <= 256
960                npxy=2*np;% increase the resolution 2 times
961            else
962                npxy=np;
963                test_interp=0; % no interpolation done
964            end
965        end
966        if test_interp%if we interpolate
967            x=linspace(Coord_x(1),Coord_x(2),np(2));
968            y=linspace(Coord_y(1),Coord_y(2),np(1));
969            [X,Y]=meshgrid(x,y);
970            xi=linspace(Coord_x(1),Coord_x(2),npxy(2));
971            yi=linspace(Coord_y(1),Coord_y(2),npxy(1));
972            A = interp2(X,Y,double(A),xi,yi');
973        end
974        % create new image if there  no image handle is found
975        if isempty(hima)
976            tag=get(haxes,'Tag');
977            if MinA<MaxA
978                hima=imagesc(Coord_x,Coord_y,A,[MinA MaxA]);
979            else % to deal with uniform field
980                hima=imagesc(Coord_x,Coord_y,A,[MaxA-1 MaxA]);
981            end
982            % the function imagesc reset the axes 'DataAspectRatioMode'='auto', change if .CheckFixAspectRatio is
983            % requested:
984            set(hima,'Tag','ima')
985            set(hima,'HitTest','off')
986            set(haxes,'Tag',tag);%preserve the axes tag (removed by image fct !!!)
987            uistack(hima, 'bottom')
988            % update an existing image
989        else
990            set(hima,'CData',A);
991            if MinA<MaxA
992                set(haxes,'CLim',[MinA MaxA])
993            else
994                set(haxes,'CLim',[MinA MaxA+1])
995            end
996            set(hima,'XData',Coord_x);
997            set(hima,'YData',Coord_y);
998        end
999       
1000        % set the transparency to 0.5 if vectors are also plotted
1001        if isfield(PlotParam.Scalar,'Opacity')&& ~isempty(PlotParam.Scalar.Opacity)
1002            set(hima,'AlphaData',PlotParam.Scalar.Opacity)
1003        else
1004            if test_vec
1005                set(hima,'AlphaData',0.5)%set opacity to 0.5 by default in the presence of vectors
1006                PlotParamOut.Scalar.Opacity=0.5;
1007            else
1008                set(hima,'AlphaData',1)% full opacity (no transparency) by default
1009            end
1010        end
1011    end
1012    test_ima=1;
1013   
1014    %display the colorbar code for B/W images if Poscolorbar not empty
1015    if ~isempty(PosColorbar)
1016        if siz==2 && exist('PosColorbar','var')
1017            if isempty(hcol)||~ishandle(hcol)
1018                hcol=colorbar;%create new colorbar
1019            end
1020            if length(PosColorbar)==4
1021                set(hcol,'Position',PosColorbar)
1022            end
1023            %YTick=0;%default
1024            if MaxA>MinA
1025                if CheckContour
1026                    colbarlim=get(hcol,'YLim');
1027                    scale_bar=(colbarlim(2)-colbarlim(1))/(abscontmax-abscontmin);
1028                    YTick=cont_pos(2:end-1);
1029                    YTick_scaled=colbarlim(1)+scale_bar*(YTick-abscontmin);
1030                    set(hcol,'YTick',YTick_scaled);
1031                elseif (isfield(PlotParam.Scalar,'CheckBW') && isequal(PlotParam.Scalar.CheckBW,1))||isa(A,'uint8')|| isa(A,'uint16')%images
1032                    hi=get(hcol,'children');
1033                    if iscell(hi)%multiple images in colorbar
1034                        hi=hi{1};
1035                    end
1036                    set(hi,'YData',[MinA MaxA])
1037                    set(hi,'CData',(1:256)')
1038                    set(hcol,'YLim',[MinA MaxA])
1039                    YTick=colbartick(MinA,MaxA);
1040                    set(hcol,'YTick',YTick)
1041                else
1042                    hi=get(hcol,'children');
1043                    if iscell(hi)%multiple images in colorbar
1044                        hi=hi{1};
1045                    end
1046                    set(hi,'YData',[MinA MaxA])
1047                    set(hi,'CData',(1:64)')
1048                    YTick=colbartick(MinA,MaxA);
1049                    set(hcol,'YLim',[MinA MaxA])
1050                    set(hcol,'YTick',YTick)
1051                end
1052                set(hcol,'Yticklabel',num2str(YTick'));
1053            end
1054        elseif ishandle(hcol)
1055            delete(hcol); %erase existing colorbar if not needed
1056        end
1057    end
1058else%no scalar plot
1059    if ~isempty(hima) && ishandle(hima)
1060        delete(hima)
1061    end
1062    if ~isempty(PosColorbar) && ~isempty(hcol)&& ishandle(hcol)
1063        delete(hcol)
1064    end
1065    PlotParamOut=rmfield(PlotParamOut,'Scalar');
1066end
1067
1068%%   vector plot %%%%%%%%%%%%%%%%%%%%%%%%%%
1069if test_vec
1070   %vector scale representation
1071    if size(vec_U,1)==numel(vec_Y) && size(vec_U,2)==numel(vec_X); % x, y  coordinate variables
1072        [vec_X,vec_Y]=meshgrid(vec_X,vec_Y);
1073    end   
1074    vec_X=reshape(vec_X,1,numel(vec_X));%reshape in matlab vectors
1075    vec_Y=reshape(vec_Y,1,numel(vec_Y));
1076    vec_U=reshape(vec_U,1,numel(vec_U));
1077    vec_V=reshape(vec_V,1,numel(vec_V));
1078     MinMaxX=max(vec_X)-min(vec_X);
1079    if  isfield(PlotParam.Vectors,'CheckFixVectors') && isequal(PlotParam.Vectors.CheckFixVectors,1)&& isfield(PlotParam.Vectors,'VecScale')...
1080               &&~isempty(PlotParam.Vectors.VecScale) && isa(PlotParam.Vectors.VecScale,'double') %fixed vector scale
1081        scale=PlotParam.Vectors.VecScale;  %impose the length of vector representation
1082    else
1083        if ~test_false %remove false vectors   
1084            indsel=1:numel(vec_X);%
1085        end
1086        if isempty(vec_U)
1087            scale=1;
1088        else
1089            if isempty(indsel)
1090                MaxU=max(abs(vec_U));
1091                MaxV=max(abs(vec_V));
1092            else
1093                MaxU=max(abs(vec_U(indsel)));
1094                MaxV=max(abs(vec_V(indsel)));
1095            end
1096            scale=MinMaxX/(max(MaxU,MaxV)*50);
1097            PlotParam.Vectors.VecScale=scale;%update the 'scale' display
1098        end
1099    end
1100   
1101    %record vectors on the plotting axes
1102    if test_C==0
1103        vec_C=ones(1,numel(vec_X));
1104    end
1105   
1106    %decimate by a factor 2 in vector mesh(4 in nbre of vectors)
1107    check_decimate=0;
1108    if isfield(PlotParam.Vectors,'CheckDecimate4') && PlotParam.Vectors.CheckDecimate4
1109        check_decimate=1;
1110        diffy=diff(vec_Y); %difference dy=vec_Y(i+1)-vec_Y(i)
1111        dy_thresh=max(abs(diffy))/2;
1112        ind_jump=find(abs(diffy) > dy_thresh); %indices with diff(vec_Y)> max/2, detect change of line
1113        ind_sel=1:ind_jump(1);%select the first line
1114        for i=2:2:length(ind_jump)-1
1115            ind_sel=[ind_sel (ind_jump(i)+1:ind_jump(i+1))];% select the odd lines
1116        end
1117        nb_sel=length(ind_sel);
1118        ind_sel=ind_sel(1:2:nb_sel);% take half the points on a line
1119    elseif isfield(PlotParam.Vectors,'CheckDecimate16') && PlotParam.Vectors.CheckDecimate16
1120        check_decimate=1;
1121        diffy=diff(vec_Y); %difference dy=vec_Y(i+1)-vec_Y(i)
1122        dy_thresh=max(abs(diffy))/2;
1123        ind_jump=find(abs(diffy) > dy_thresh); %indices with diff(vec_Y)> max/2, detect change of line
1124        ind_sel=1:ind_jump(1);%select the first line
1125        for i=2:4:length(ind_jump)-1
1126            ind_sel=[ind_sel (ind_jump(i)+1:ind_jump(i+1))];% select the odd lines
1127        end
1128        nb_sel=length(ind_sel);
1129        ind_sel=ind_sel(1:4:nb_sel);% take half the points on a line
1130    end
1131    if check_decimate
1132        vec_X=vec_X(ind_sel);
1133        vec_Y=vec_Y(ind_sel);
1134        vec_U=vec_U(ind_sel);
1135        vec_V=vec_V(ind_sel);
1136        vec_C=vec_C(ind_sel);
1137        if ~isempty(ivar_F)
1138           vec_F=vec_F(ind_sel);
1139        end
1140        if ~isempty(ivar_FF_vec)
1141           vec_FF=vec_FF(ind_sel);
1142        end
1143    end
1144   
1145    %get main level color code
1146    [colorlist,col_vec,PlotParamOut.Vectors]=set_col_vec(PlotParam.Vectors,vec_C);
1147   
1148    % take flags into account: add flag colors to the list of colors
1149    sizlist=size(colorlist);
1150    nbcolor=sizlist(1);
1151    if test_black
1152       nbcolor=nbcolor+1;
1153       colorlist(nbcolor,:)=[0 0 0]; %add black to the list of colors
1154       if ~isempty(ivar_FF_vec)
1155            col_vec(vec_F~=1 & vec_F~=0 & vec_FF==0)=nbcolor;
1156       else
1157            col_vec(vec_F~=1 & vec_F~=0)=nbcolor;
1158       end
1159    end
1160    nbcolor=nbcolor+1;
1161    if ~isempty(ivar_FF_vec)
1162        if isfield(PlotParam.Vectors,'CheckHideFalse') && PlotParam.Vectors.CheckHideFalse==1
1163            colorlist(nbcolor,:)=[NaN NaN NaN];% no plot of false vectors
1164        else
1165            colorlist(nbcolor,:)=[1 0 1];% magenta color
1166        end
1167        col_vec(vec_FF~=0)=nbcolor;
1168    end
1169    %plot vectors:
1170    quiresetn(haxes,vec_X,vec_Y,vec_U,vec_V,scale,colorlist,col_vec);   
1171
1172else
1173    hvec=findobj(haxes,'Tag','vel');
1174    if ~isempty(hvec)
1175        delete(hvec);
1176    end
1177    PlotParamOut=rmfield(PlotParamOut,'Vectors');
1178end
1179% nbvar=0;
1180
1181%store the coordinate extrema occupied by the field
1182if ~isempty(Data)
1183    MinX=[];
1184    MaxX=[];
1185    MinY=[];
1186    MaxY=[];
1187    fix_lim=isfield(PlotParam.Axes,'CheckFixLimits') && PlotParam.Axes.CheckFixLimits;
1188    if fix_lim
1189        if isfield(PlotParam.Axes,'MinX')&&isfield(PlotParam.Axes,'MaxX')&&isfield(PlotParam.Axes,'MinY')&&isfield(PlotParam.Axes,'MaxY')
1190            MinX=PlotParam.Axes.MinX;
1191            MaxX=PlotParam.Axes.MaxX;
1192            MinY=PlotParam.Axes.MinY;
1193            MaxY=PlotParam.Axes.MaxY;
1194        end  %else PlotParamOut.MinX =PlotParam.MinX...
1195    else
1196        if test_ima %both background image and vectors coexist, take the wider bound
1197            MinX=min(Coord_x);
1198            MaxX=max(Coord_x);
1199            MinY=min(Coord_y);
1200            MaxY=max(Coord_y);
1201            if test_vec
1202                MinX=min(MinX,min(vec_X));
1203                MaxX=max(MaxX,max(vec_X));
1204                MinY=min(MinY,min(vec_Y));
1205                MaxY=max(MaxY,max(vec_Y));
1206            end
1207        elseif test_vec
1208            MinX=min(vec_X);
1209            MaxX=max(vec_X);
1210            MinY=min(vec_Y);
1211            MaxY=max(vec_Y);
1212        end
1213    end
1214    PlotParamOut.Axes.MinX=MinX;
1215    PlotParamOut.Axes.MaxX=MaxX;
1216    PlotParamOut.Axes.MinY=MinY;
1217    PlotParamOut.Axes.MaxY=MaxY;
1218    if MaxX>MinX
1219        set(haxes,'XLim',[MinX MaxX]);% set x limits of frame in axes coordinates
1220    end
1221    if MaxY>MinY
1222        set(haxes,'YLim',[MinY MaxY]);% set x limits of frame in axes coordinates
1223    end
1224    set(haxes,'YDir','normal')
1225    set(get(haxes,'XLabel'),'String',[XName ' (' x_units ')']);
1226    set(get(haxes,'YLabel'),'String',[YName ' (' y_units ')']);
1227    PlotParamOut.Axes.x_units=x_units;
1228    PlotParamOut.Axes.y_units=y_units;
1229end
1230% if isfield(PlotParam,'Axes') && isfield(PlotParam.Axes,'CheckFixAspectRatio') && isequal(PlotParam.Axes.CheckFixAspectRatio,1)
1231%     set(haxes,'DataAspectRatioMode','manual')
1232%     if isfield(PlotParam.Axes,'AspectRatio')
1233%         set(haxes,'DataAspectRatio',[PlotParam.Axes.AspectRatio 1 1])
1234%     end
1235% else
1236%     set(haxes,'DataAspectRatioMode','auto')
1237% end
1238
1239%-------------------------------------------------------------------
1240% --- function for plotting vectors
1241%INPUT:
1242% haxes: handles of the plotting axes
1243% x,y,u,v: vectors coordinates and vector components to plot, arrays withb the same dimension
1244% scale: scaling factor for vector length representation
1245% colorlist(icolor,:): list of vector colors, dim (nbcolor,3), depending on color #i
1246% col_vec: matlab vector setting the color number #i for each velocity vector
1247function quiresetn(haxes,x,y,u,v,scale,colorlist,col_vec)
1248%-------------------------------------------------------------------
1249%define arrows
1250theta=0.5 ;%angle arrow
1251alpha=0.3 ;%length arrow
1252rot=alpha*[cos(theta) -sin(theta); sin(theta) cos(theta)]';
1253%find the existing lines
1254h=findobj(haxes,'Tag','vel');% search existing lines in the current axes
1255sizh=size(h);
1256set(h,'EraseMode','xor');
1257set(haxes,'NextPlot','replacechildren');
1258
1259%drawnow
1260%create lines (if no lines) or modify them
1261if ~isequal(size(col_vec),size(x))
1262    col_vec=ones(size(x));% case of error in col_vec input
1263end
1264sizlist=size(colorlist);
1265ncolor=sizlist(1);
1266
1267for icolor=1:ncolor
1268    %determine the line positions for each color icolor
1269    ind=find(col_vec==icolor);
1270    xc=x(ind);
1271    yc=y(ind);
1272    uc=u(ind)*scale;
1273    vc=v(ind)*scale;
1274    n=size(xc);
1275    xN=NaN*ones(size(xc));
1276    matx=[xc(:)-uc(:)/2 xc(:)+uc(:)/2 xN(:)]';
1277    matx=reshape(matx,1,3*n(2));
1278    maty=[yc(:)-vc(:)/2 yc(:)+vc(:)/2 xN(:)]';
1279    maty=reshape(maty,1,3*n(2));
1280   
1281    %determine arrow heads
1282    arrowplus=rot*[uc;vc];
1283    arrowmoins=rot'*[uc;vc];
1284    x1=xc+uc/2-arrowplus(1,:);
1285    x2=xc+uc/2;
1286    x3=xc+uc/2-arrowmoins(1,:);
1287    y1=yc+vc/2-arrowplus(2,:);
1288    y2=yc+vc/2;
1289    y3=yc+vc/2-arrowmoins(2,:);
1290    matxar=[x1(:) x2(:) x3(:) xN(:)]';
1291    matxar=reshape(matxar,1,4*n(2));
1292    matyar=[y1(:) y2(:) y3(:) xN(:)]';
1293    matyar=reshape(matyar,1,4*n(2));
1294    %draw the line or modify the existing ones
1295%     tri=reshape(1:3*length(uc),3,[])';   
1296    isn=isnan(colorlist(icolor,:));%test if color NaN
1297    if 2*icolor > sizh(1) %if icolor exceeds the number of existing ones
1298        if ~isn(1) %if the vectors are visible color not nan
1299            if n(2)>0
1300                hold on
1301                line(matx,maty,'Color',colorlist(icolor,:),'Tag','vel');% plot new lines
1302                line(matxar,matyar,'Color',colorlist(icolor,:),'Tag','vel');% plot arrows
1303            end
1304        end
1305    else
1306        if isn(1)
1307            delete(h(2*icolor-1))
1308            delete(h(2*icolor))
1309        else
1310            set(h(2*icolor-1),'Xdata',matx,'Ydata',maty);
1311            set(h(2*icolor-1),'Color',colorlist(icolor,:));
1312            set(h(2*icolor-1),'EraseMode','xor');
1313            set(h(2*icolor),'Xdata',matxar,'Ydata',matyar);
1314            set(h(2*icolor),'Color',colorlist(icolor,:));
1315            set(h(2*icolor),'EraseMode','xor');
1316        end
1317    end
1318end
1319if sizh(1) > 2*ncolor
1320    for icolor=ncolor+1 : sizh(1)/2%delete additional objects
1321        delete(h(2*icolor-1))
1322        delete(h(2*icolor))
1323    end
1324end
1325
1326%-------------------------------------------------------------------
1327% ---- determine tick positions for colorbar
1328function YTick=colbartick(MinA,MaxA)
1329%-------------------------------------------------------------------
1330%determine tick positions with "simple" values between MinA and MaxA
1331YTick=0;%default
1332maxabs=max([abs(MinA) abs(MaxA)]);
1333if maxabs>0
1334ord=10^(floor(log10(maxabs)));%order of magnitude
1335div=1;
1336siz2=1;
1337while siz2<2
1338    values=-10:div:10;
1339    ind=find((ord*values-MaxA)<0 & (ord*values-MinA)>0);%indices of 'values' such that MinA<ord*values<MaxA
1340    siz=size(ind);
1341    if siz(2)<4%if there are less than 4 selected values (4 levels)
1342        values=-9:0.5*div:9;
1343        ind=find((ord*values-MaxA)<0 & (ord*values-MinA)>0);
1344    end
1345    siz2=size(ind,2);
1346    div=div/10;
1347end
1348YTick=ord*values(ind);
1349end
1350
1351% -------------------------------------------------------------------------
1352% --- 'proj_grid': project  fields with unstructured coordinantes on a regular grid
1353function [A,rangx,rangy]=proj_grid(vec_X,vec_Y,vec_A,rgx_in,rgy_in,npxy_in)
1354% -------------------------------------------------------------------------
1355if length(vec_Y)<2
1356    msgbox_uvmat('ERROR','less than 2 points in proj_grid.m');
1357    return;
1358end
1359diffy=diff(vec_Y); %difference dy=vec_Y(i+1)-vec_Y(i)
1360index=find(diffy);% find the indices of vec_Y after wich a change of horizontal line occurs(diffy non zero)
1361if isempty(index); msgbox_uvmat('ERROR','points aligned along abscissa in proj_grid.m'); return; end;%points aligned% A FAIRE: switch to line plot.
1362diff2=diff(diffy(index));% diff2 = fluctuations of the detected vertical grid mesh dy
1363if max(abs(diff2))>0.001*abs(diffy(index(1))) % if max(diff2) is larger than 1/1000 of the first mesh dy
1364    % the data are not regularly spaced and must be interpolated  on a regular grid
1365    if exist('rgx_in','var') & ~isempty (rgx_in) & isnumeric(rgx_in) & length(rgx_in)==2%  positions imposed from input
1366        rangx=rgx_in; % first and last positions
1367        rangy=rgy_in;
1368        dxy(1)=1/(npxy_in(1)-1);%grid mesh in y
1369        dxy(2)=1/(npxy_in(2)-1);%grid mesh in x
1370        dxy(1)=(rangy(2)-rangy(1))/(npxy_in(1)-1);%grid mesh in y
1371        dxy(2)=(rangx(2)-rangx(1))/(npxy_in(2)-1);%grid mesh in x
1372    else % interpolation grid automatically determined
1373        rangx(1)=min(vec_X);
1374        rangx(2)=max(vec_X);
1375        rangy(2)=min(vec_Y);
1376        rangy(1)=max(vec_Y);
1377        dxymod=sqrt((rangx(2)-rangx(1))*(rangy(1)-rangy(2))/length(vec_X));
1378        dxy=[-dxymod/4 dxymod/4];% increase the resolution 4 times
1379    end
1380    xi=[rangx(1):dxy(2):rangx(2)];
1381    yi=[rangy(1):dxy(1):rangy(2)];
1382    A=griddata_uvmat(vec_X,vec_Y,vec_A,xi,yi');
1383    A=reshape(A,length(yi),length(xi));
1384else
1385    x=vec_X(1:index(1));% the set of abscissa (obtained on the first line)
1386    indexend=index(end);% last vector index of line change
1387    ymax=vec_Y(indexend+1);% y coordinate AFTER line change
1388    ymin=vec_Y(index(1));
1389    y=vec_Y(index);
1390    y(length(y)+1)=ymax;
1391    nx=length(x);   %number of grid points in x
1392    ny=length(y);   % number of grid points in y
1393    B=(reshape(vec_A,nx,ny))'; %vec_A reshaped as a rectangular matrix
1394    [X,Y]=meshgrid(x,y);% positions X and Y also reshaped as matrix
1395
1396    %linear interpolation to improve the image resolution and/or adjust
1397    %to prescribed positions
1398    test_interp=1;
1399    if exist('rgx_in','var') & ~isempty (rgx_in) & isnumeric(rgx_in) & length(rgx_in)==2%  positions imposed from input
1400        rangx=rgx_in; % first and last positions
1401        rangy=rgy_in;
1402        npxy=npxy_in;
1403    else       
1404        rangx=[vec_X(1) vec_X(nx)];% first and last position found for x
1405          rangy=[max(ymax,ymin) min(ymax,ymin)];
1406        if max(nx,ny) <= 64 & isequal(npxy_in,'np>256')
1407            npxy=[8*ny 8*nx];% increase the resolution 8 times
1408        elseif max(nx,ny) <= 128 & isequal(npxy_in,'np>256')
1409            npxy=[4*ny 4*nx];% increase the resolution 4 times
1410        elseif max(nx,ny) <= 256 & isequal(npxy_in,'np>256')
1411            npxy=[2*ny 2*nx];% increase the resolution 2 times
1412        else
1413            npxy=[ny nx];
1414            test_interp=0; % no interpolation done
1415        end
1416    end
1417    if test_interp==1%if we interpolate
1418        xi=[rangx(1):(rangx(2)-rangx(1))/(npxy(2)-1):rangx(2)];
1419        yi=[rangy(1):(rangy(2)-rangy(1))/(npxy(1)-1):rangy(2)];
1420        [XI,YI]=meshgrid(xi,yi);
1421        A = interp2(X,Y,B,XI,YI);
1422    else %no interpolation for a resolution higher than 256
1423        A=B;
1424    end
1425end
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