source: trunk/src/plot_field.m @ 848

Last change on this file since 848 was 848, checked in by sommeria, 6 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%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    msgbox_uvmat('ERROR', errormsg)
254end
255
256%% update the parameters stored in AxeData
257if ishandle(haxes)&&( ~isempty(index_2D)|| ~isempty(index_1D))
258%     AxeData=[];
259    if isfield(PlotParamOut,'MinX')
260        AxeData.RangeX=[PlotParamOut.MinX PlotParamOut.MaxX];
261        AxeData.RangeY=[PlotParamOut.MinY PlotParamOut.MaxY];
262    end
263    set(haxes,'UserData',AxeData)
264end
265
266%% update the plotted field stored in parent figure
267if ~isempty(index_2D)|| ~isempty(index_1D)
268    FigData=get(hfig,'UserData');
269    if strcmp(get(hfig,'tag'),'view_field')||strcmp(get(hfig,'tag'),'uvmat')
270        FigData.(get(haxes,'tag'))=Data;
271        set(hfig,'UserData',FigData)
272    end
273end
274
275%-------------------------------------------------------------------
276% --- plot 0D fields: display data values without plot
277%------------------------------------------------------------------
278function errormsg=plot_text(FieldData,CellInfo,htext)
279
280errormsg='';
281txt_cell={};
282Data={};
283VarIndex=[];
284for icell=1:length(CellInfo)
285   
286    % select types of  variables to be projected
287    ListProj={'VarIndex_scalar','VarIndex_image','VarIndex_color','VarIndex_vector_x','VarIndex_vector_y'};
288    check_proj=false(size(FieldData.ListVarName));
289    for ilist=1:numel(ListProj)
290        if isfield(CellInfo{icell},ListProj{ilist})
291            check_proj(CellInfo{icell}.(ListProj{ilist}))=1;
292        end
293    end
294    VarIndex=[VarIndex find(check_proj)];
295end
296
297% data need to be displayed in a table
298if strcmp(get(htext,'Type'),'uitable')% display data in a table
299    VarNameCell=cell(1,numel(VarIndex));% prepare list of variable names to display (titles of columns)
300    VarLength=zeros(1,numel(VarIndex));  % default number of values for each variable
301    for ivar=1:numel(VarIndex)
302        VarNameCell{ivar}=FieldData.ListVarName{VarIndex(ivar)};
303        VarLength(ivar)=numel(FieldData.(VarNameCell{ivar}));
304    end
305    set(htext,'ColumnName',VarNameCell)
306    Data=cell(max(VarLength),numel(VarIndex));% prepare the table of data display
307   
308    for ivar=1:numel(VarIndex)
309        VarValue=FieldData.(VarNameCell{ivar});
310        VarValue=reshape(VarValue,[],1);% reshape values array in a column
311        Data(1:numel(VarValue),ivar)=num2cell(VarValue);
312    end
313    set(htext,'Data',Data)
314end
315%         if numel(VarValue)>1 && numel(VarValue)<10 % case of a variable with several values
316%             for ind=1:numel(VarValue)
317%                 VarNameCell{1,ind}=[VarName '_' num2str(ind)];% indicate each value by an index
318%             end
319%         else
320%             VarNameCell={VarName};
321%         end
322%         if numel(VarValue)<10
323%             if isempty(VarValue)
324%                 VarValueCell={'[]'};
325%             else
326%                 VarValueCell=num2cell(VarValue);
327%             end
328%             if isempty(Data)
329%                 Data =[VarNameCell VarValueCell];
330%             else
331%                 Data =[Data [VarNameCell VarValueCell]];
332%             end
333%         else
334%             if isempty(Data)
335%                 Data =[VarNameCell; num2cell(VarValue)];
336%             else
337%                 Data =[Data [VarNameCell; {['size ' num2str(size(VarValue))]}]];
338%             end
339%         end
340%         if size(VarValue,1)==1
341%             txt=[VarName '=' num2str(VarValue)];
342%             txt_cell=[txt_cell;{txt}];
343%         end
344%     end
345% end
346% if strcmp(get(htext,'Type'),'uitable')% display data in a table
347%
348
349%     set(htext,'Data',Data(2:end,:))
350% else  % display in a text edit box
351%     set(htext,'String',txt_cell)
352%     set(htext,'UserData',txt_cell)% for temporary storage when the edit box is used for mouse display
353% end
354
355
356%-------------------------------------------------------------------
357% --- plot 1D fields (usual x,y plots)
358%-------------------------------------------------------------------
359function CoordinatesOut=plot_profile(data,CellInfo,haxes,Coordinates,CheckHold)
360
361%% initialization
362if ~exist('Coordinates','var')
363    Coordinates=[];
364end
365CoordinatesOut=Coordinates; %default
366hfig=get(haxes,'parent');
367legend_str={};
368
369%% suppress existing plot if empty data
370if isempty(data)
371    hplot=findobj(haxes,'tag','plot_line');
372    if ~isempty(hplot)
373        delete(hplot)
374    end
375    hlegend=findobj(hfig,'tag','legend');
376    if ~isempty(hlegend)
377        delete(hlegend)
378    end
379    return
380end
381
382%% set the colors of the successive plots (designed to produce rgb for the three components of color images)
383ColorOrder=[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];
384set(hfig,'DefaultAxesColorOrder',ColorOrder)
385% if isfield(Coordinates,'NextPlot')
386%     set(haxes,'NextPlot',Coordinates.NextPlot)
387% end
388if CheckHold
389    set(haxes,'NextPlot','add')
390else
391    set(haxes,'NextPlot','replace')
392end
393
394%% prepare the string for plot command
395plotstr='hhh=plot(';
396% coord_x_index=[];
397xtitle='';
398ytitle='';
399test_newplot=~CheckHold;
400MinX=[];
401MaxX=[];
402MinY_cell=[];
403MaxY_cell=[];
404%loop on input  fields
405for icell=1:numel(CellInfo)
406    VarIndex=CellInfo{icell}.VarIndex;%  indices of the selected variables in the list data.ListVarName
407    coord_x_index=CellInfo{icell}.CoordIndex;
408    testplot=ones(size(data.ListVarName));%default test for plotted variables
409    coord_x_name{icell}=data.ListVarName{coord_x_index};
410    coord_x{icell}=data.(data.ListVarName{coord_x_index});%coordinate variable set as coord_x
411    if isempty(find(strcmp(coord_x_name{icell},coord_x_name(1:end-1)), 1)) %xtitle not already selected
412        xtitle=[xtitle coord_x_name{icell}];
413        if isfield(data,'VarAttribute')&& numel(data.VarAttribute)>=coord_x_index && isfield(data.VarAttribute{coord_x_index},'units')
414            xtitle=[xtitle '(' data.VarAttribute{coord_x_index}.units '), '];
415        else
416            xtitle=[xtitle ', '];
417        end
418    end
419    if ~isempty(coord_x{icell})
420        MinX(icell)=min(coord_x{icell});
421        MaxX(icell)=max(coord_x{icell});
422        testplot(coord_x_index)=0;
423        if isfield(CellInfo{icell},'VarIndex_ancillary')
424            testplot(CellInfo{icell}.VarIndex_ancillary)=0;
425        end
426        if isfield(CellInfo{icell},'VarIndex_warnflag')
427            testplot(CellInfo{icell}.VarIndex_warnflag)=0;
428        end
429        if isfield(data,'VarAttribute')
430            VarAttribute=data.VarAttribute;
431            for ivar=1:length(VarIndex)
432                if length(VarAttribute)>=VarIndex(ivar) && isfield(VarAttribute{VarIndex(ivar)},'long_name')
433                    plotname{VarIndex(ivar)}=VarAttribute{VarIndex(ivar)}.long_name;
434                else
435                    plotname{VarIndex(ivar)}=data.ListVarName{VarIndex(ivar)};%name for display in plot A METTRE
436                end
437            end
438        end
439        if isfield(CellInfo{icell},'VarIndex_discrete')
440            charplot_0='''+''';
441        else
442            charplot_0='''-''';
443        end
444        MinY=[];
445        MaxY=[];%default
446       
447        nbplot=0;
448        for ivar=1:length(VarIndex)
449            if testplot(VarIndex(ivar))
450                VarName=data.ListVarName{VarIndex(ivar)};
451                nbplot=nbplot+1;
452                ytitle=[ytitle VarName];
453                if isfield(data,'VarAttribute')&& numel(data.VarAttribute)>=VarIndex(ivar) && isfield(data.VarAttribute{VarIndex(ivar)},'units')
454                    ytitle=[ytitle '(' data.VarAttribute{VarIndex(ivar)}.units '), '];
455                else
456                    ytitle=[ytitle ', '];
457                end
458                eval(['data.' VarName '=squeeze(data.' VarName ');'])
459                MinY(ivar)=min(min(data.(VarName)));
460                MaxY(ivar)=max(max(data.(VarName)));
461                plotstr=[plotstr 'coord_x{' num2str(icell) '},data.' VarName ',' charplot_0 ','];
462                eval(['nbcomponent2=size(data.' VarName ',2);']);
463                eval(['nbcomponent1=size(data.' VarName ',1);']);
464                if numel(coord_x{icell})==2
465                    coord_x{icell}=linspace(coord_x{icell}(1),coord_x{icell}(2),nbcomponent1);
466                end
467                if nbcomponent1==1|| nbcomponent2==1
468                    legend_str=[legend_str {VarName}]; %variable with one component
469                else  %variable with severals  components
470                    for ic=1:min(nbcomponent1,nbcomponent2)
471                        legend_str=[legend_str [VarName '_' num2str(ic)]]; %variable with severals  components
472                    end                                                   % labeled by their index (e.g. color component)
473                end
474            end
475        end
476        if ~isempty(MinY)
477            MinY_cell(icell)=min(MinY);
478            MaxY_cell(icell)=max(MaxY);
479        end
480    end
481end
482
483%% activate the plot
484if  ~isequal(plotstr,'hhh=plot(') 
485    set(hfig,'CurrentAxes',haxes)
486    tag=get(haxes,'tag');   
487    %%%
488    plotstr=[plotstr '''tag'',''plot_line'');'];   
489    eval(plotstr)                  %execute plot (instruction  plotstr)
490    %%%
491    set(haxes,'tag',tag)% restitute the axes tag (removed by the command plot)
492    set(haxes,'ColorOrder',ColorOrder)% restitute the plot color order (to get red green blue for histograms or cuts of color images)
493    grid(haxes, 'on')
494    hxlabel=xlabel(xtitle(1:end-2));% xlabel (removes ', ' at the end)
495    set(hxlabel,'Interpreter','none')% desable tex interpreter
496    if length(legend_str)>=1
497        hylabel=ylabel(ytitle(1:end-2));% ylabel (removes ', ' at the end)
498        set(hylabel,'Interpreter','none')% desable tex interpreter
499    end
500    if ~isempty(legend_str)
501        hlegend=findobj(hfig,'Tag','legend');
502        if isempty(hlegend)
503            hlegend=legend(legend_str);
504            txt=ver('MATLAB');
505            Release=txt.Release;
506            relnumb=str2double(Release(3:4));% should be changed to Version for better compatibility
507            if relnumb >= 14
508                set(hlegend,'Interpreter','none')% desable tex interpreter
509            end
510        else
511            legend_old=get(hlegend,'String');
512            if isequal(size(legend_old,1),size(legend_str,1))&&~isequal(legend_old,legend_str)
513                set(hlegend,'String',[legend_old legend_str]);
514            end
515        end
516    end
517    title_str='';
518    if isfield(data,'filename')
519       [Path, title_str, ext]=fileparts(data.filename);
520       title_str=[title_str ext];
521    end
522    if isfield(data,'Action')&&isfield(data.Action,'ActionName')
523        if ~isequal(title_str,'')
524            title_str=[title_str ', '];
525        end
526        title_str=[title_str data.Action.ActionName];
527    end
528    htitle=title(title_str);
529    set(htitle,'Interpreter','none')% desable tex interpreter
530end
531
532%% determine axes bounds
533fix_lim=isfield(Coordinates,'CheckFixLimits') && Coordinates.CheckFixLimits;
534check_lim=isfield(Coordinates,'MinX')&&isfield(Coordinates,'MaxX')&&isfield(Coordinates,'MinY')&&isfield(Coordinates,'MaxY');
535if fix_lim
536    if ~check_lim
537        fix_lim=0; %free limits if limits are not set,
538    end
539end
540if fix_lim
541    set(haxes,'XLim',[Coordinates.MinX Coordinates.MaxX])
542    set(haxes,'YLim',[Coordinates.MinY Coordinates.MaxY])
543else
544    if ~isempty(MinX)
545        if check_lim
546            CoordinatesOut.MinX=min(min(MinX),CoordinatesOut.MinX);
547            CoordinatesOut.MaxX=max(max(MaxX),CoordinatesOut.MaxX);
548        else
549            CoordinatesOut.MinX=min(MinX);
550            CoordinatesOut.MaxX=max(MaxX);
551        end
552    end
553    if ~isempty(MinY_cell)
554        if check_lim
555            CoordinatesOut.MinY=min(min(MinY_cell),CoordinatesOut.MinY);
556            CoordinatesOut.MaxY=max(max(MaxY_cell),CoordinatesOut.MaxY);
557        else
558            CoordinatesOut.MinY=min(MinY_cell);
559            CoordinatesOut.MaxY=max(MaxY_cell);
560        end
561    end
562end
563
564%% determine plot aspect ratio
565if isfield(Coordinates,'CheckFixAspectRatio') && isequal(Coordinates.CheckFixAspectRatio,1)&&isfield(Coordinates,'AspectRatio')
566    set(haxes,'DataAspectRatioMode','manual')
567    set(haxes,'DataAspectRatio',[Coordinates.AspectRatio 1 1])
568else
569    set(haxes,'DataAspectRatioMode','auto')%automatic aspect ratio
570    AspectRatio=get(haxes,'DataAspectRatio');
571    CoordinatesOut.AspectRatio=AspectRatio(1)/AspectRatio(2);
572end
573
574%-------------------------------------------------------------------
575function [haxes,PlotParamOut,PlotType,errormsg]=plot_plane(Data,CellInfo,haxes,PlotParam)
576%-------------------------------------------------------------------
577PlotType='plane';
578grid(haxes, 'off')% remove grid (possibly remaining from other graphs)
579
580%default plotting parameters
581if ~isfield(PlotParam,'Scalar')
582    PlotParam.Scalar=[];
583end
584if ~isfield(PlotParam,'Vectors')
585    PlotParam.Vectors=[];
586end
587PlotParamOut=PlotParam;%default
588errormsg='';%default
589
590hfig=get(haxes,'parent');%handle of the figure containing the plot axes
591PosColorbar=[];
592FigData=get(hfig,'UserData');
593if isfield(FigData,'PosColorbar')
594    PosColorbar=FigData.PosColorbar;
595end
596hcol=findobj(hfig,'Tag','Colorbar'); %look for colorbar axes
597hima=findobj(haxes,'Tag','ima');% search existing image in the current axes
598test_ima=0; %default: test for image or map plot
599test_vec=0; %default: test for vector plots
600test_black=0;
601test_false=0;
602test_C=0;
603XName='';
604x_units='';
605YName='';
606y_units='';
607
608% loop on the input field cells
609for icell=1:numel(CellInfo)
610    if strcmp(CellInfo{icell}.CoordType,'tps') %do not plot directly tps data (used for projection only)
611        continue
612    end
613    ivar_X=CellInfo{icell}.CoordIndex(end); % defines (unique) index for the variable representing unstructured x coordinate (default =[])
614    ivar_Y=CellInfo{icell}.CoordIndex(end-1); % defines (unique)index for the variable representing unstructured y coordinate (default =[])
615    ivar_C=[];
616    if isfield(CellInfo{icell},'VarIndex_scalar')
617        ivar_C=[ivar_C CellInfo{icell}.VarIndex_scalar];
618    end
619    if isfield(CellInfo{icell},'VarIndex_image')
620        ivar_C=[ivar_C CellInfo{icell}.VarIndex_image];
621    end
622    if isfield(CellInfo{icell},'VarIndex_color')
623        ivar_C=[ivar_C CellInfo{icell}.VarIndex_color];
624    end
625    if isfield(CellInfo{icell},'VarIndex_ancillary')
626        ivar_C=[ivar_C CellInfo{icell}.VarIndex_ancillary];
627    end
628    if numel(ivar_C)>1
629        errormsg= 'error in plot_field: too many scalar inputs';
630        return
631    end
632    ivar_F=[];
633    if isfield(CellInfo{icell},'VarIndex_warnflag')
634        ivar_F=CellInfo{icell}.VarIndex_warnflag; %defines index (unique) for warning flag variable
635    end
636    ivar_FF_vec=[];
637    if isfield(CellInfo{icell},'VarIndex_vector_x')&&isfield(CellInfo{icell},'VarIndex_vector_y') % vector components detected
638        if test_vec% a vector field has been already detected
639            errormsg='error in plot_field: attempt to plot two vector fields: to get the difference project on a plane with mode interp';
640            return
641        else
642            test_vec=1;
643            if isfield(CellInfo{icell},'VarIndex_errorflag')
644                ivar_FF_vec=CellInfo{icell}.VarIndex_errorflag; %defines index (unique) for error flag variable
645            end
646            vec_U=Data.(Data.ListVarName{CellInfo{icell}.VarIndex_vector_x});
647            vec_V=Data.(Data.ListVarName{CellInfo{icell}.VarIndex_vector_y});
648            if strcmp(CellInfo{icell}.CoordType,'scattered')%2D field with unstructured coordinates
649                XName=Data.ListVarName{CellInfo{icell}.CoordIndex(end)};
650                YName=Data.ListVarName{CellInfo{icell}.CoordIndex(end-1)};
651                vec_X=reshape(Data.(XName),[],1); %transform vectors in column matlab vectors
652                vec_Y=reshape(Data.(YName),[],1);
653            elseif strcmp(CellInfo{icell}.CoordType,'grid')%2D field with structured coordinates
654                y=Data.(Data.ListVarName{CellInfo{icell}.CoordIndex(end-1)});
655                x=Data.(Data.ListVarName{CellInfo{icell}.CoordIndex(end)});
656                if numel(y)==2 % y defined by first and last values on aregular mesh
657                    y=linspace(y(1),y(2),size(vec_U,1));
658                end
659                if numel(x)==2 % y defined by first and last values on aregular mesh
660                    x=linspace(x(1),x(2),size(vec_U,2));
661                end
662                [vec_X,vec_Y]=meshgrid(x,y);
663            end
664            if isfield(PlotParam.Vectors,'ColorScalar') && ~isempty(PlotParam.Vectors.ColorScalar)
665                [VarVal,ListVarName,VarAttribute,errormsg]=calc_field_interp([],Data,PlotParam.Vectors.ColorScalar);
666                if ~isempty(VarVal)
667                    vec_C=reshape(VarVal{1},1,numel(VarVal{1}));
668                    test_C=1;
669                end
670            end
671            if ~isempty(ivar_F)%~(isfield(PlotParam.Vectors,'HideWarning')&& isequal(PlotParam.Vectors.HideWarning,1))
672%                 if test_vec
673                    vec_F=Data.(Data.ListVarName{ivar_F}); % warning flags for  dubious vectors
674                    if  ~(isfield(PlotParam.Vectors,'CheckHideWarning') && isequal(PlotParam.Vectors.CheckHideWarning,1))
675                        test_black=1;
676                    end
677%                 end
678            end
679            if ~isempty(ivar_FF_vec) %&& ~test_false
680%                 if test_vec% TODO: deal with FF for structured coordinates
681                    vec_FF=Data.(Data.ListVarName{ivar_FF_vec}); % flags for false vectors
682%                 end
683            end
684        end
685    elseif ~isempty(ivar_C) %scalar or image
686        if test_ima
687            errormsg='attempt to plot two scalar fields or images';
688            return
689        end
690        A=squeeze(Data.(Data.ListVarName{ivar_C}));% scalar represented as color image
691        test_ima=1;
692        if strcmp(CellInfo{icell}.CoordType,'scattered')%2D field with unstructured coordinates
693            A=reshape(A,1,[]);
694            XName=Data.ListVarName{ivar_X};
695            YName=Data.ListVarName{ivar_Y};
696            eval(['Coord_x=reshape(Data.' XName ',1,[]);'])
697            eval(['Coord_y=reshape(Data.' YName ',1,[]);'])
698            [A,Coord_x,Coord_y]=proj_grid(Coord_x',Coord_y',A',[],[],'np>256');  % interpolate on a grid
699            if isfield(Data,'VarAttribute')
700                if numel(Data.VarAttribute)>=ivar_X && isfield(Data.VarAttribute{ivar_X},'units')
701                    x_units=[' (' Data.VarAttribute{ivar_X}.units ')'];
702                end
703                if numel(Data.VarAttribute)>=ivar_Y && isfield(Data.VarAttribute{ivar_Y},'units')
704                    y_units=[' (' Data.VarAttribute{ivar_Y}.units ')'];
705                end
706            end
707        elseif strcmp(CellInfo{icell}.CoordType,'grid')%2D field with structured coordinates
708            YName=Data.ListVarName{CellInfo{icell}.CoordIndex(end-1)};
709            Coord_y=Data.(YName);
710            Coord_x=Data.(Data.ListVarName{CellInfo{icell}.CoordIndex(end)});
711            test_interp_X=0; %default, regularly meshed X coordinate
712            test_interp_Y=0; %default, regularly meshed Y coordinate
713            if isfield(Data,'VarAttribute')
714                if numel(Data.VarAttribute)>=CellInfo{icell}.CoordIndex(end) && isfield(Data.VarAttribute{CellInfo{icell}.CoordIndex(end)},'units')
715                    x_units=Data.VarAttribute{CellInfo{icell}.CoordIndex(end)}.units;
716                end
717                if numel(Data.VarAttribute)>=CellInfo{icell}.CoordIndex(end-1) && isfield(Data.VarAttribute{CellInfo{icell}.CoordIndex(end-1)},'units')
718                    y_units=Data.VarAttribute{CellInfo{icell}.CoordIndex(end-1)}.units;
719                end
720            end
721            if numel(Coord_y)>2
722                DCoord_y=diff(Coord_y);
723                DCoord_y_min=min(DCoord_y);
724                DCoord_y_max=max(DCoord_y);
725                if sign(DCoord_y_min)~=sign(DCoord_y_max);% =1 for increasing values, 0 otherwise
726                    errormsg=['errror in plot_field.m: non monotonic dimension variable ' Data.ListVarName{VarRole.coord(1)} ];
727                    return
728                end
729                test_interp_Y=(DCoord_y_max-DCoord_y_min)> 0.0001*abs(DCoord_y_max);
730            end
731            if numel(Coord_x)>2
732                DCoord_x=diff(Coord_x);
733                DCoord_x_min=min(DCoord_x);
734                DCoord_x_max=max(DCoord_x);
735                if sign(DCoord_x_min)~=sign(DCoord_x_max);% =1 for increasing values, 0 otherwise
736                    errormsg=['errror in plot_field.m: non monotonic dimension variable ' Data.ListVarName{VarRole.coord(2)} ];
737                    return
738                end
739                test_interp_X=(DCoord_x_max-DCoord_x_min)> 0.0001*abs(DCoord_x_max);
740            end
741            if test_interp_Y
742                npxy(1)=max([256 floor((Coord_y(end)-Coord_y(1))/DCoord_y_min) floor((Coord_y(end)-Coord_y(1))/DCoord_y_max)]);
743                yI=linspace(Coord_y(1),Coord_y(end),npxy(1));
744                if ~test_interp_X
745                    xI=linspace(Coord_x(1),Coord_x(end),size(A,2));%default
746                    Coord_x=xI;
747                end
748            end
749            if test_interp_X
750                npxy(2)=max([256 floor((Coord_x(end)-Coord_x(1))/DCoord_x_min) floor((Coord_x(end)-Coord_x(1))/DCoord_x_max)]);
751                xI=linspace(Coord_x(1),Coord_x(end),npxy(2));
752                if ~test_interp_Y
753                    yI=linspace(Coord_y(1),Coord_y(end),size(A,1));
754                    Coord_y=yI;
755                end
756            end
757            if test_interp_X || test_interp_Y
758                [Coord_x2D,Coord_y2D]=meshgrid(Coord_x,Coord_y);
759                A=interp2(Coord_x2D,Coord_y2D,double(A),xI,yI');
760            end
761            Coord_x=[Coord_x(1) Coord_x(end)];% keep only the lower and upper bounds for image represnetation
762            Coord_y=[Coord_y(1) Coord_y(end)];
763        end
764    end
765    %define coordinates as CoordUnits, if not defined as attribute for each variable
766    if isfield(Data,'CoordUnit')
767        if isempty(x_units)
768            x_units=Data.CoordUnit;
769        end
770        if isempty(y_units)
771            y_units=Data.CoordUnit;
772        end
773    end   
774end
775PlotParamOut=PlotParam; % output plot parameters equal to input by default
776
777%%   image or scalar plot %%%%%%%%%%%%%%%%%%%%%%%%%%
778if test_ima
779    % distinguish B/W and color images
780    np=size(A);%size of image
781    siz=numel(np);
782    if siz>3
783        errormsg=['unrecognized scalar type: ' num2str(siz) ' dimensions'];
784        return
785    end
786    if siz==3
787        if np(3)==1
788            siz=2;%B W image
789        elseif np(3)==3
790            siz=3;%color image
791        else
792            errormsg=['unrecognized scalar type in plot_field: considered as 2D field with ' num2str(np(3)) ' color components'];
793            return
794        end
795    end
796   
797    %set for grey scale setting
798    if isfield(PlotParam.Scalar,'CheckBW') && ~isempty(PlotParam.Scalar.CheckBW)
799        BW=PlotParam.Scalar.CheckBW; %BW=0 color imposed, else gray scale imposed.
800    else % BW imposed automatically chosen
801        BW=(siz==2) && (isa(A,'uint8')|| isa(A,'uint16'));% non color images represented in gray scale by default
802        PlotParamOut.Scalar.CheckBW=BW;
803    end
804   
805    % determine the plot option 'image' or 'contours'
806    CheckContour=0; %default
807    if isfield(PlotParam.Scalar,'ListContour')
808        CheckContour=strcmp(PlotParam.Scalar.ListContour,'contours');% =1 for contour plot option
809    end
810   
811    %case of grey level images or contour plot
812    if ~isfield(PlotParam.Scalar,'CheckFixScalar')
813        PlotParam.Scalar.CheckFixScalar=0;% free scalar threshold value scale (from min to max) by default
814    end
815    if ~isfield(PlotParam.Scalar,'MinA')
816        PlotParam.Scalar.MinA=[];%no min scalar threshold value set
817    end
818    if ~isfield(PlotParam.Scalar,'MaxA')
819        PlotParam.Scalar.MaxA=[];%no max scalar threshold value set
820    end
821   
822    % determine the min scalar value
823    if PlotParam.Scalar.CheckFixScalar && ~isempty(PlotParam.Scalar.MinA) && isnumeric(PlotParam.Scalar.MinA)
824        MinA=double(PlotParam.Scalar.MinA); % min value set as input
825    else
826        MinA=double(min(min(min(A)))); % min value set as min of non NaN scalar values
827    end
828   
829    % error if the input scalar is NaN everywhere
830    if isnan(MinA)
831        errormsg='NaN input scalar or image in plot_field';
832        return
833    end
834   
835    % determine the max scalar value
836    CheckFixScalar=0;
837    if PlotParam.Scalar.CheckFixScalar && ~isempty(PlotParam.Scalar.MaxA) && isnumeric(PlotParam.Scalar.MaxA)
838        MaxA=double(PlotParam.Scalar.MaxA); % max value set as input
839        CheckFixScalar=1;
840    else
841        MaxA=double(max(max(max(A)))); % max value set as min of non NaN scalar values
842    end
843   
844    PlotParamOut.Scalar.MinA=MinA;
845    PlotParamOut.Scalar.MaxA=MaxA;
846    PlotParamOut.Scalar.Npx=size(A,2);
847    PlotParamOut.Scalar.Npy=size(A,1);
848    %     if siz==2
849    % case of contour plot
850    if CheckContour
851        if ~isempty(hima) && ishandle(hima)
852            delete(hima) % delete existing image
853        end
854       
855        % set the contour values
856        if ~isfield(PlotParam.Scalar,'IncrA')
857            PlotParam.Scalar.IncrA=[];% automatic contour interval
858        end
859        if ~isempty(PlotParam.Scalar.IncrA) && isnumeric(PlotParam.Scalar.IncrA)
860            interval=PlotParam.Scalar.IncrA;
861        else % automatic contour interval
862            cont=colbartick(MinA,MaxA);
863            interval=cont(2)-cont(1);%default
864            PlotParamOut.Scalar.IncrA=interval;% set the interval as output for display on the GUI
865        end
866        abscontmin=interval*floor(MinA/interval);
867        abscontmax=interval*ceil(MaxA/interval);
868        contmin=interval*floor(min(min(A))/interval);
869        contmax=interval*ceil(max(max(A))/interval);
870        cont_pos_plus=0:interval:contmax;% zero and positive contour values (plotted as solid lines)
871        cont_pos_min=double(contmin):interval:-interval;% negative contour values (plotted as dashed lines)
872        cont_pos=[cont_pos_min cont_pos_plus];% set of all contour values
873       
874        sizpx=(Coord_x(end)-Coord_x(1))/(np(2)-1);
875        sizpy=(Coord_y(1)-Coord_y(end))/(np(1)-1);
876        x_cont=Coord_x(1):sizpx:Coord_x(end); % pixel x coordinates for image display
877        y_cont=Coord_y(1):-sizpy:Coord_y(end); % pixel x coordinates for image display
878       
879        %axes(haxes)% set the input axes handle as current axis
880       
881        % colormap(map);
882        tag_axes=get(haxes,'Tag');% axes tag
883        Opacity=1;
884        if isfield(PlotParam.Scalar,'Opacity')&&~isempty(PlotParam.Scalar.Opacity)
885            Opacity=PlotParam.Scalar.Opacity;
886        end
887        % fill the space between contours if opacity is undefined or =1
888        if isequal(Opacity,1)
889            [var,hcontour]=contour(haxes,x_cont,y_cont,A,cont_pos);% determine all contours
890            set(hcontour,'Fill','on')% fill the space between contours
891            set(hcontour,'LineStyle','none')
892            hold on
893        end
894        [var_p,hcontour_p]=contour(haxes,x_cont,y_cont,A,cont_pos_plus,'k-');% draw the contours for positive values as solid lines
895        hold on
896        [var_m,hcontour_m]=contour(haxes,x_cont,y_cont,A,cont_pos_min,'--');% draw the contours for negative values as dashed lines
897        if isequal(Opacity,1)
898            set(hcontour_m,'LineColor',[1 1 1])% draw negative contours in white (better visibility in dark background)
899        end
900        set(haxes,'Tag',tag_axes);% restore axes tag (removed by the matlab fct contour !)
901        hold off
902       
903        %determine the color scale and map
904        caxis([abscontmin abscontmax])
905        if BW
906            vec=linspace(0,1,(abscontmax-abscontmin)/interval);%define a greyscale colormap with steps interval
907            map=[vec' vec' vec'];
908            colormap(map);
909        else
910            colormap('default'); % default matlab colormap ('jet')
911        end
912       
913        if isfield(PlotParam.Axes,'CheckFixAspectRatio') && isequal(PlotParam.Axes.CheckFixAspectRatio,1)
914            set(haxes,'DataAspectRatioMode','manual')
915            if isfield(PlotParam.Axes,'AspectRatio')
916                set(haxes,'DataAspectRatio',[PlotParam.Axes.AspectRatio 1 1])
917            else
918                set(haxes,'DataAspectRatio',[1 1 1])
919            end
920        end
921    else %usual images (no contour)
922        % set  colormap for  image display
923        if BW
924            vec=linspace(0,1,255);%define a linear greyscale colormap
925            map=[vec' vec' vec'];
926            colormap(map);  %grey scale color map
927            if siz==3% true color images visualized in BW
928                A=uint16(sum(A,3));%sum the three color components for color images displayed with BW option
929            end
930        else
931            if siz==3 && CheckFixScalar % true color images rescaled by MaxA
932                  A=uint8(255*double(A)/double(MaxA));
933            end
934            colormap('default'); % standard false colors for div, vort , scalar fields
935        end
936       
937        % interpolate field to increase resolution of image display
938        test_interp=0;
939        if size(A,3)==1 % scalar or B/W image
940            test_interp=1;
941            if max(np) <= 64
942                npxy=8*np;% increase the resolution 8 times
943            elseif max(np) <= 128
944                npxy=4*np;% increase the resolution 4 times
945            elseif max(np) <= 256
946                npxy=2*np;% increase the resolution 2 times
947            else
948                npxy=np;
949                test_interp=0; % no interpolation done
950            end
951        end
952        if test_interp%if we interpolate
953            x=linspace(Coord_x(1),Coord_x(2),np(2));
954            y=linspace(Coord_y(1),Coord_y(2),np(1));
955            [X,Y]=meshgrid(x,y);
956            xi=linspace(Coord_x(1),Coord_x(2),npxy(2));
957            yi=linspace(Coord_y(1),Coord_y(2),npxy(1));
958            A = interp2(X,Y,double(A),xi,yi');
959        end
960        % create new image if no image handle is found
961        if isempty(hima)
962            tag=get(haxes,'Tag');
963            if MinA<MaxA
964                hima=imagesc(Coord_x,Coord_y,A,[MinA MaxA]);
965            else % to deal with uniform field
966                hima=imagesc(Coord_x,Coord_y,A,[MaxA-1 MaxA]);
967            end
968            % the function imagesc reset the axes 'DataAspectRatioMode'='auto', change if .CheckFixAspectRatio is
969            % requested:
970            set(hima,'Tag','ima')
971            set(hima,'HitTest','off')
972            set(haxes,'Tag',tag);%preserve the axes tag (removed by image fct !!!)
973            uistack(hima, 'bottom')
974            % update an existing image
975        else
976            set(hima,'CData',A);
977            if MinA<MaxA
978                set(haxes,'CLim',[MinA MaxA])
979            else
980                set(haxes,'CLim',[MinA MaxA+1])
981            end
982            set(hima,'XData',Coord_x);
983            set(hima,'YData',Coord_y);
984        end
985       
986        % set the transparency to 0.5 if vectors are also plotted
987        if isfield(PlotParam.Scalar,'Opacity')&& ~isempty(PlotParam.Scalar.Opacity)
988            set(hima,'AlphaData',PlotParam.Scalar.Opacity)
989        else
990            if test_vec
991                set(hima,'AlphaData',0.5)%set opacity to 0.5 by default in the presence of vectors
992                PlotParamOut.Scalar.Opacity=0.5;
993            else
994                set(hima,'AlphaData',1)% full opacity (no transparency) by default
995            end
996        end
997    end
998    test_ima=1;
999   
1000    %display the colorbar code for B/W images if Poscolorbar not empty
1001    if ~isempty(PosColorbar)
1002        if size(A,3)==1 && exist('PosColorbar','var')
1003            if isempty(hcol)||~ishandle(hcol)
1004                hcol=colorbar;%create new colorbar
1005            end
1006            if length(PosColorbar)==4
1007                set(hcol,'Position',PosColorbar)
1008            end
1009            %YTick=0;%default
1010            if MaxA>MinA
1011                if CheckContour
1012                    colbarlim=get(hcol,'YLim');
1013                    scale_bar=(colbarlim(2)-colbarlim(1))/(abscontmax-abscontmin);
1014                    YTick=cont_pos(2:end-1);
1015                    YTick_scaled=colbarlim(1)+scale_bar*(YTick-abscontmin);
1016                    set(hcol,'YTick',YTick_scaled);
1017                elseif (isfield(PlotParam.Scalar,'CheckBW') && isequal(PlotParam.Scalar.CheckBW,1))||isa(A,'uint8')|| isa(A,'uint16')%images
1018                    hi=get(hcol,'children');
1019                    if iscell(hi)%multiple images in colorbar
1020                        hi=hi{1};
1021                    end
1022                    set(hi,'YData',[MinA MaxA])
1023                    set(hi,'CData',(1:256)')
1024                    set(hcol,'YLim',[MinA MaxA])
1025                    YTick=colbartick(MinA,MaxA);
1026                    set(hcol,'YTick',YTick)
1027                else
1028                    hi=get(hcol,'children');
1029                    if iscell(hi)%multiple images in colorbar
1030                        hi=hi{1};
1031                    end
1032                    set(hi,'YData',[MinA MaxA])
1033                    set(hi,'CData',(1:64)')
1034                    YTick=colbartick(MinA,MaxA);
1035                    set(hcol,'YLim',[MinA MaxA])
1036                    set(hcol,'YTick',YTick)
1037                end
1038                set(hcol,'Yticklabel',num2str(YTick'));
1039            end
1040        elseif ishandle(hcol)
1041            delete(hcol); %erase existing colorbar if not needed
1042        end
1043    end
1044else%no scalar plot
1045    if ~isempty(hima) && ishandle(hima)
1046        delete(hima)
1047    end
1048    if ~isempty(PosColorbar) && ~isempty(hcol)&& ishandle(hcol)
1049        delete(hcol)
1050    end
1051    PlotParamOut=rmfield(PlotParamOut,'Scalar');
1052end
1053
1054%%   vector plot %%%%%%%%%%%%%%%%%%%%%%%%%%
1055if test_vec
1056   %vector scale representation
1057    if size(vec_U,1)==numel(vec_Y) && size(vec_U,2)==numel(vec_X); % x, y  coordinate variables
1058        [vec_X,vec_Y]=meshgrid(vec_X,vec_Y);
1059    end   
1060    vec_X=reshape(vec_X,1,numel(vec_X));%reshape in matlab vectors
1061    vec_Y=reshape(vec_Y,1,numel(vec_Y));
1062    vec_U=reshape(vec_U,1,numel(vec_U));
1063    vec_V=reshape(vec_V,1,numel(vec_V));
1064     MinMaxX=max(vec_X)-min(vec_X);
1065    if  isfield(PlotParam.Vectors,'CheckFixVectors') && isequal(PlotParam.Vectors.CheckFixVectors,1)&& isfield(PlotParam.Vectors,'VecScale')...
1066               &&~isempty(PlotParam.Vectors.VecScale) && isa(PlotParam.Vectors.VecScale,'double') %fixed vector scale
1067        scale=PlotParam.Vectors.VecScale;  %impose the length of vector representation
1068    else
1069        if ~test_false %remove false vectors   
1070            indsel=1:numel(vec_X);%
1071        end
1072        if isempty(vec_U)
1073            scale=1;
1074        else
1075            if isempty(indsel)
1076                MaxU=max(abs(vec_U));
1077                MaxV=max(abs(vec_V));
1078            else
1079                MaxU=max(abs(vec_U(indsel)));
1080                MaxV=max(abs(vec_V(indsel)));
1081            end
1082            scale=MinMaxX/(max(MaxU,MaxV)*50);
1083            PlotParam.Vectors.VecScale=scale;%update the 'scale' display
1084        end
1085    end
1086   
1087    %record vectors on the plotting axes
1088    if test_C==0
1089        vec_C=ones(1,numel(vec_X));
1090    end
1091   
1092    %decimate by a factor 2 in vector mesh(4 in nbre of vectors)
1093    check_decimate=0;
1094    if isfield(PlotParam.Vectors,'CheckDecimate4') && PlotParam.Vectors.CheckDecimate4
1095        check_decimate=1;
1096        diffy=diff(vec_Y); %difference dy=vec_Y(i+1)-vec_Y(i)
1097        dy_thresh=max(abs(diffy))/2;
1098        ind_jump=find(abs(diffy) > dy_thresh); %indices with diff(vec_Y)> max/2, detect change of line
1099        ind_sel=1:ind_jump(1);%select the first line
1100        for i=2:2:length(ind_jump)-1
1101            ind_sel=[ind_sel (ind_jump(i)+1:ind_jump(i+1))];% select the odd lines
1102        end
1103        nb_sel=length(ind_sel);
1104        ind_sel=ind_sel(1:2:nb_sel);% take half the points on a line
1105    elseif isfield(PlotParam.Vectors,'CheckDecimate16') && PlotParam.Vectors.CheckDecimate16
1106        check_decimate=1;
1107        diffy=diff(vec_Y); %difference dy=vec_Y(i+1)-vec_Y(i)
1108        dy_thresh=max(abs(diffy))/2;
1109        ind_jump=find(abs(diffy) > dy_thresh); %indices with diff(vec_Y)> max/2, detect change of line
1110        ind_sel=1:ind_jump(1);%select the first line
1111        for i=2:4:length(ind_jump)-1
1112            ind_sel=[ind_sel (ind_jump(i)+1:ind_jump(i+1))];% select the odd lines
1113        end
1114        nb_sel=length(ind_sel);
1115        ind_sel=ind_sel(1:4:nb_sel);% take half the points on a line
1116    end
1117    if check_decimate
1118        vec_X=vec_X(ind_sel);
1119        vec_Y=vec_Y(ind_sel);
1120        vec_U=vec_U(ind_sel);
1121        vec_V=vec_V(ind_sel);
1122        vec_C=vec_C(ind_sel);
1123        if ~isempty(ivar_F)
1124           vec_F=vec_F(ind_sel);
1125        end
1126        if ~isempty(ivar_FF_vec)
1127           vec_FF=vec_FF(ind_sel);
1128        end
1129    end
1130   
1131    %get main level color code
1132    [colorlist,col_vec,PlotParamOut.Vectors]=set_col_vec(PlotParam.Vectors,vec_C);
1133   
1134    % take flags into account: add flag colors to the list of colors
1135    sizlist=size(colorlist);
1136    nbcolor=sizlist(1);
1137    if test_black
1138       nbcolor=nbcolor+1;
1139       colorlist(nbcolor,:)=[0 0 0]; %add black to the list of colors
1140       if ~isempty(ivar_FF_vec)
1141            col_vec(vec_F~=1 & vec_F~=0 & vec_FF==0)=nbcolor;
1142       else
1143            col_vec(vec_F~=1 & vec_F~=0)=nbcolor;
1144       end
1145    end
1146    nbcolor=nbcolor+1;
1147    if ~isempty(ivar_FF_vec)
1148        if isfield(PlotParam.Vectors,'CheckHideFalse') && PlotParam.Vectors.CheckHideFalse==1
1149            colorlist(nbcolor,:)=[NaN NaN NaN];% no plot of false vectors
1150        else
1151            colorlist(nbcolor,:)=[1 0 1];% magenta color
1152        end
1153        col_vec(vec_FF~=0)=nbcolor;
1154    end
1155    %plot vectors:
1156    quiresetn(haxes,vec_X,vec_Y,vec_U,vec_V,scale,colorlist,col_vec);   
1157
1158else
1159    hvec=findobj(haxes,'Tag','vel');
1160    if ~isempty(hvec)
1161        delete(hvec);
1162    end
1163    PlotParamOut=rmfield(PlotParamOut,'Vectors');
1164end
1165% nbvar=0;
1166
1167%store the coordinate extrema occupied by the field
1168if ~isempty(Data)
1169    MinX=[];
1170    MaxX=[];
1171    MinY=[];
1172    MaxY=[];
1173    fix_lim=isfield(PlotParam.Axes,'CheckFixLimits') && PlotParam.Axes.CheckFixLimits;
1174    if fix_lim
1175        if isfield(PlotParam.Axes,'MinX')&&isfield(PlotParam.Axes,'MaxX')&&isfield(PlotParam.Axes,'MinY')&&isfield(PlotParam.Axes,'MaxY')
1176            MinX=PlotParam.Axes.MinX;
1177            MaxX=PlotParam.Axes.MaxX;
1178            MinY=PlotParam.Axes.MinY;
1179            MaxY=PlotParam.Axes.MaxY;
1180        end  %else PlotParamOut.MinX =PlotParam.MinX...
1181    else
1182        if test_ima %both background image and vectors coexist, take the wider bound
1183            MinX=min(Coord_x);
1184            MaxX=max(Coord_x);
1185            MinY=min(Coord_y);
1186            MaxY=max(Coord_y);
1187            if test_vec
1188                MinX=min(MinX,min(vec_X));
1189                MaxX=max(MaxX,max(vec_X));
1190                MinY=min(MinY,min(vec_Y));
1191                MaxY=max(MaxY,max(vec_Y));
1192            end
1193        elseif test_vec
1194            MinX=min(vec_X);
1195            MaxX=max(vec_X);
1196            MinY=min(vec_Y);
1197            MaxY=max(vec_Y);
1198        end
1199    end
1200    PlotParamOut.Axes.MinX=MinX;
1201    PlotParamOut.Axes.MaxX=MaxX;
1202    PlotParamOut.Axes.MinY=MinY;
1203    PlotParamOut.Axes.MaxY=MaxY;
1204    if MaxX>MinX
1205        set(haxes,'XLim',[MinX MaxX]);% set x limits of frame in axes coordinates
1206    end
1207    if MaxY>MinY
1208        set(haxes,'YLim',[MinY MaxY]);% set x limits of frame in axes coordinates
1209    end
1210    set(haxes,'YDir','normal')
1211    set(get(haxes,'XLabel'),'String',[XName ' (' x_units ')']);
1212    set(get(haxes,'YLabel'),'String',[YName ' (' y_units ')']);
1213    PlotParamOut.Axes.x_units=x_units;
1214    PlotParamOut.Axes.y_units=y_units;
1215end
1216% if isfield(PlotParam,'Axes') && isfield(PlotParam.Axes,'CheckFixAspectRatio') && isequal(PlotParam.Axes.CheckFixAspectRatio,1)
1217%     set(haxes,'DataAspectRatioMode','manual')
1218%     if isfield(PlotParam.Axes,'AspectRatio')
1219%         set(haxes,'DataAspectRatio',[PlotParam.Axes.AspectRatio 1 1])
1220%     end
1221% else
1222%     set(haxes,'DataAspectRatioMode','auto')
1223% end
1224
1225%-------------------------------------------------------------------
1226% --- function for plotting vectors
1227%INPUT:
1228% haxes: handles of the plotting axes
1229% x,y,u,v: vectors coordinates and vector components to plot, arrays withb the same dimension
1230% scale: scaling factor for vector length representation
1231% colorlist(icolor,:): list of vector colors, dim (nbcolor,3), depending on color #i
1232% col_vec: matlab vector setting the color number #i for each velocity vector
1233function quiresetn(haxes,x,y,u,v,scale,colorlist,col_vec)
1234%-------------------------------------------------------------------
1235%define arrows
1236theta=0.5 ;%angle arrow
1237alpha=0.3 ;%length arrow
1238rot=alpha*[cos(theta) -sin(theta); sin(theta) cos(theta)]';
1239%find the existing lines
1240h=findobj(haxes,'Tag','vel');% search existing lines in the current axes
1241sizh=size(h);
1242set(h,'EraseMode','xor');
1243set(haxes,'NextPlot','replacechildren');
1244
1245%drawnow
1246%create lines (if no lines) or modify them
1247if ~isequal(size(col_vec),size(x))
1248    col_vec=ones(size(x));% case of error in col_vec input
1249end
1250sizlist=size(colorlist);
1251ncolor=sizlist(1);
1252
1253for icolor=1:ncolor
1254    %determine the line positions for each color icolor
1255    ind=find(col_vec==icolor);
1256    xc=x(ind);
1257    yc=y(ind);
1258    uc=u(ind)*scale;
1259    vc=v(ind)*scale;
1260    n=size(xc);
1261    xN=NaN*ones(size(xc));
1262    matx=[xc(:)-uc(:)/2 xc(:)+uc(:)/2 xN(:)]';
1263    matx=reshape(matx,1,3*n(2));
1264    maty=[yc(:)-vc(:)/2 yc(:)+vc(:)/2 xN(:)]';
1265    maty=reshape(maty,1,3*n(2));
1266   
1267    %determine arrow heads
1268    arrowplus=rot*[uc;vc];
1269    arrowmoins=rot'*[uc;vc];
1270    x1=xc+uc/2-arrowplus(1,:);
1271    x2=xc+uc/2;
1272    x3=xc+uc/2-arrowmoins(1,:);
1273    y1=yc+vc/2-arrowplus(2,:);
1274    y2=yc+vc/2;
1275    y3=yc+vc/2-arrowmoins(2,:);
1276    matxar=[x1(:) x2(:) x3(:) xN(:)]';
1277    matxar=reshape(matxar,1,4*n(2));
1278    matyar=[y1(:) y2(:) y3(:) xN(:)]';
1279    matyar=reshape(matyar,1,4*n(2));
1280    %draw the line or modify the existing ones
1281%     tri=reshape(1:3*length(uc),3,[])';   
1282    isn=isnan(colorlist(icolor,:));%test if color NaN
1283    if 2*icolor > sizh(1) %if icolor exceeds the number of existing ones
1284        if ~isn(1) %if the vectors are visible color not nan
1285            if n(2)>0
1286                hold on
1287                line(matx,maty,'Color',colorlist(icolor,:),'Tag','vel');% plot new lines
1288                line(matxar,matyar,'Color',colorlist(icolor,:),'Tag','vel');% plot arrows
1289            end
1290        end
1291    else
1292        if isn(1)
1293            delete(h(2*icolor-1))
1294            delete(h(2*icolor))
1295        else
1296            set(h(2*icolor-1),'Xdata',matx,'Ydata',maty);
1297            set(h(2*icolor-1),'Color',colorlist(icolor,:));
1298            set(h(2*icolor-1),'EraseMode','xor');
1299            set(h(2*icolor),'Xdata',matxar,'Ydata',matyar);
1300            set(h(2*icolor),'Color',colorlist(icolor,:));
1301            set(h(2*icolor),'EraseMode','xor');
1302        end
1303    end
1304end
1305if sizh(1) > 2*ncolor
1306    for icolor=ncolor+1 : sizh(1)/2%delete additional objects
1307        delete(h(2*icolor-1))
1308        delete(h(2*icolor))
1309    end
1310end
1311
1312%-------------------------------------------------------------------
1313% ---- determine tick positions for colorbar
1314function YTick=colbartick(MinA,MaxA)
1315%-------------------------------------------------------------------
1316%determine tick positions with "simple" values between MinA and MaxA
1317YTick=0;%default
1318maxabs=max([abs(MinA) abs(MaxA)]);
1319if maxabs>0
1320ord=10^(floor(log10(maxabs)));%order of magnitude
1321div=1;
1322siz2=1;
1323while siz2<2
1324    values=-10:div:10;
1325    ind=find((ord*values-MaxA)<0 & (ord*values-MinA)>0);%indices of 'values' such that MinA<ord*values<MaxA
1326    siz=size(ind);
1327    if siz(2)<4%if there are less than 4 selected values (4 levels)
1328        values=-9:0.5*div:9;
1329        ind=find((ord*values-MaxA)<0 & (ord*values-MinA)>0);
1330    end
1331    siz2=size(ind,2);
1332    div=div/10;
1333end
1334YTick=ord*values(ind);
1335end
1336
1337% -------------------------------------------------------------------------
1338% --- 'proj_grid': project  fields with unstructured coordinantes on a regular grid
1339function [A,rangx,rangy]=proj_grid(vec_X,vec_Y,vec_A,rgx_in,rgy_in,npxy_in)
1340% -------------------------------------------------------------------------
1341if length(vec_Y)<2
1342    msgbox_uvmat('ERROR','less than 2 points in proj_grid.m');
1343    return;
1344end
1345diffy=diff(vec_Y); %difference dy=vec_Y(i+1)-vec_Y(i)
1346index=find(diffy);% find the indices of vec_Y after wich a change of horizontal line occurs(diffy non zero)
1347if isempty(index); msgbox_uvmat('ERROR','points aligned along abscissa in proj_grid.m'); return; end;%points aligned% A FAIRE: switch to line plot.
1348diff2=diff(diffy(index));% diff2 = fluctuations of the detected vertical grid mesh dy
1349if max(abs(diff2))>0.001*abs(diffy(index(1))) % if max(diff2) is larger than 1/1000 of the first mesh dy
1350    % the data are not regularly spaced and must be interpolated  on a regular grid
1351    if exist('rgx_in','var') & ~isempty (rgx_in) & isnumeric(rgx_in) & length(rgx_in)==2%  positions imposed from input
1352        rangx=rgx_in; % first and last positions
1353        rangy=rgy_in;
1354        dxy(1)=1/(npxy_in(1)-1);%grid mesh in y
1355        dxy(2)=1/(npxy_in(2)-1);%grid mesh in x
1356        dxy(1)=(rangy(2)-rangy(1))/(npxy_in(1)-1);%grid mesh in y
1357        dxy(2)=(rangx(2)-rangx(1))/(npxy_in(2)-1);%grid mesh in x
1358    else % interpolation grid automatically determined
1359        rangx(1)=min(vec_X);
1360        rangx(2)=max(vec_X);
1361        rangy(2)=min(vec_Y);
1362        rangy(1)=max(vec_Y);
1363        dxymod=sqrt((rangx(2)-rangx(1))*(rangy(1)-rangy(2))/length(vec_X));
1364        dxy=[-dxymod/4 dxymod/4];% increase the resolution 4 times
1365    end
1366    xi=[rangx(1):dxy(2):rangx(2)];
1367    yi=[rangy(1):dxy(1):rangy(2)];
1368    A=griddata_uvmat(vec_X,vec_Y,vec_A,xi,yi');
1369    A=reshape(A,length(yi),length(xi));
1370else
1371    x=vec_X(1:index(1));% the set of abscissa (obtained on the first line)
1372    indexend=index(end);% last vector index of line change
1373    ymax=vec_Y(indexend+1);% y coordinate AFTER line change
1374    ymin=vec_Y(index(1));
1375    y=vec_Y(index);
1376    y(length(y)+1)=ymax;
1377    nx=length(x);   %number of grid points in x
1378    ny=length(y);   % number of grid points in y
1379    B=(reshape(vec_A,nx,ny))'; %vec_A reshaped as a rectangular matrix
1380    [X,Y]=meshgrid(x,y);% positions X and Y also reshaped as matrix
1381
1382    %linear interpolation to improve the image resolution and/or adjust
1383    %to prescribed positions
1384    test_interp=1;
1385    if exist('rgx_in','var') & ~isempty (rgx_in) & isnumeric(rgx_in) & length(rgx_in)==2%  positions imposed from input
1386        rangx=rgx_in; % first and last positions
1387        rangy=rgy_in;
1388        npxy=npxy_in;
1389    else       
1390        rangx=[vec_X(1) vec_X(nx)];% first and last position found for x
1391          rangy=[max(ymax,ymin) min(ymax,ymin)];
1392        if max(nx,ny) <= 64 & isequal(npxy_in,'np>256')
1393            npxy=[8*ny 8*nx];% increase the resolution 8 times
1394        elseif max(nx,ny) <= 128 & isequal(npxy_in,'np>256')
1395            npxy=[4*ny 4*nx];% increase the resolution 4 times
1396        elseif max(nx,ny) <= 256 & isequal(npxy_in,'np>256')
1397            npxy=[2*ny 2*nx];% increase the resolution 2 times
1398        else
1399            npxy=[ny nx];
1400            test_interp=0; % no interpolation done
1401        end
1402    end
1403    if test_interp==1%if we interpolate
1404        xi=[rangx(1):(rangx(2)-rangx(1))/(npxy(2)-1):rangx(2)];
1405        yi=[rangy(1):(rangy(2)-rangy(1))/(npxy(1)-1):rangy(2)];
1406        [XI,YI]=meshgrid(xi,yi);
1407        A = interp2(X,Y,B,XI,YI);
1408    else %no interpolation for a resolution higher than 256
1409        A=B;
1410    end
1411end
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