source: trunk/src/plot_field.m @ 1063

Last change on this file since 1063 was 1061, checked in by g7moreau, 2 years ago
  • Update copyright to year 2019
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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', or errormsg
18% PlotParamOut: structure, representing the updated  plotting parameters, in case of automatic scaling
19% haxes: handle of the plotting axis, when a new figure is created.
20%
21%INPUT
22%    Data:   structure describing the field to plot
23%         (optional) .ListGlobalAttribute: cell listing the names of the global attributes
24%                    .Att_1,Att_2... : values of the global attributes
25%         (requested)  .ListVarName: list of variable names to select (cell array of  char strings {'VarName1', 'VarName2',...} )
26%         (requested)  .VarDimName: list of dimension names for each element of .ListVarName (cell array of string cells)
27%                      .VarAttribute: cell of attributes for each element of .ListVarName (cell array of structures of the form VarAtt.key=value)
28%         (requested) .Var1, .Var2....: variables (Matlab arrays) with names listed in .ListVarName
29
30%            Variable attribute .Role :
31%    The only variable attribute used for plotting purpose is .Role which can take
32%    the values
33%       Role = 'scalar':  (default) represents a scalar field
34%            = 'coord_x', 'coord_y',  'coord_z': represents a separate set of
35%                        unstructured coordinate x, y  or z
36%            = 'vector': represents a vector field whose number of components
37%                is given by the last dimension (called 'nb_dim')
38%            = 'vector_x', 'vector_y', 'vector_z'  :represents the x, y or z  component of a vector 
39%            = 'warnflag' : provides a warning flag about the quality of data in a 'Field', default=0, no warning
40%            = 'errorflag': provides an error flag marking false data,
41%                   default=0, no error. Different non zero values can represent different criteria of elimination.
42%
43%   haxes: handle of the plotting axes to update with the new plot. If this input is absent or not a valid axes handle, a new figure is created.
44%
45%   PlotParam: structure containing the parameters for plotting, as read on the uvmat or view_field GUI (by function 'read_GUI.m').
46%      Contains three substructures:
47%     .Axes: coordinate parameters:
48%           .CheckFixLimits:=0 (default) adjust axes limit to the X,Y data, =1: preserves the previous axes limits
49%     .Axes.CheckFixAspectRatio: =0 (default):automatic adjustment of the graph, keep 1 to 1 aspect ratio for x and y scales.
50%     .Axes.AspectRatio: imposed aspect ratio y/x of axis unit plots
51%            --scalars--
52%    .Scalar.MaxA: upper bound (saturation color) for the scalar representation, max(field) by default
53%    .Scalar.MinA: lower bound (saturation) for the scalar representation, min(field) by default
54%    .Scalar.CheckFixScal: =0 (default) lower and upper bounds of the scalar representation set to the min and max of the field
55%               =1 lower and upper bound imposed by .AMax and .MinA
56%    .Scalar.CheckBW= 1: black and white representation imposed, =0 color imposed (color scale or rgb),
57%                   =[]: automatic (B/W for integer positive scalars, color  else)
58%    .Scalar.CheckContours= 1: represent scalars by contour plots (Matlab function 'contour'); =0 by default
59%    .IncrA : contour interval
60%            -- vectors--
61%    .Vectors.VecScale: scale for the vector representation
62%    .Vectors.CheckFixVec: =0 (default) automatic length for vector representation, =1: length set by .VecScale
63%    .Vectors.CheckHideFalse= 0 (default) false vectors represented in magenta, =1: false vectors not represented;
64%    .Vectors.CheckHideWarning= 0 (default) vectors marked by warnflag~=0 marked in black, 1: no warning representation;
65%    .Vectors.CheckDecimate4 = 0 (default) all vectors reprtesented, =1: half of  the vectors represented along each coordinate
66%         -- vector color--
67%    .Vectors.ColorCode= 'black','white': imposed color  (default ='blue')
68%                        'rgb', : three colors red, blue, green depending
69%                        on thresholds .colcode1 and .colcode2 on the input  scalar value (C)
70%                        'brg': like rgb but reversed color order (blue, green, red)
71%                        '64 colors': continuous color from blue to red (multijet)
72%    .Vectors.colcode1 : first threshold for rgb, first value for'continuous'
73%    .Vectors.colcode2 : second threshold for rgb, last value (saturation) for 'continuous'
74%    .Vectors.CheckFixedCbounds;  =0 (default): the bounds on C representation are min and max, =1: they are fixed by .Minc and .MaxC
75%    .Vectors.MinC = imposed minimum of the scalar field used for vector color;
76%    .Vectors.MaxC = imposed maximum of the scalar field used for vector color;
77%
78% PosColorbar: % if absent, no action on colorbar
79%              % if empty, suppress any existing colorbar
80%              % if not empty, display a colorbar for B&W images at position PosColorbar
81%                expressed in figure relative unit (ex [0.821 0.471 0.019 0.445])
82
83%=======================================================================
84% Copyright 2008-2019, LEGI UMR 5519 / CNRS UGA 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
118% if ~isfield(PlotParam,'FieldName')
119%     index_0D=[];
120%     index_1D=1;
121%     index_2D=[];%find 2D fields
122%     index_3D=[];
123% else
124    [CellInfo,NbDimArray,errormsg]=find_field_cells(Data);
125    if ~isempty(errormsg)
126        msgbox_uvmat('ERROR',['input of plot_field/find_field_cells: ' errormsg]);
127        return
128    end
129    index_0D=find(NbDimArray==0);
130    index_1D=find(NbDimArray==1);
131    index_2D=find(NbDimArray==2);%find 2D fields
132    index_3D=find(NbDimArray>2,1);
133    if ~isempty(index_3D)
134        msgbox_uvmat('ERROR','volume plot not implemented yet');
135        return
136    end
137% end
138
139%% test axes and figure
140testnewfig=1;%test to create a new figure (default)
141testzoomaxes=0;%test for the existence of a zoom secondary figure attached to the plotting axes
142if exist('haxes','var')
143    if ishandle(haxes)
144        if isequal(get(haxes,'Type'),'axes')
145            testnewfig=0;
146            AxeData=get(haxes,'UserData');
147            if isfield(AxeData,'ZoomAxes')&& ishandle(AxeData.ZoomAxes)
148                if isequal(get(AxeData.ZoomAxes,'Type'),'axes')
149                    testzoomaxes=1;
150                    zoomaxes=AxeData.ZoomAxes;
151                end
152            end
153        end
154    end
155end
156
157%% create a new figure and axes if the plotting axes does not exist
158if testnewfig
159    hfig=figure;
160    set(hfig,'Units','normalized')
161    haxes=axes;
162    set(haxes,'position',[0.13,0.2,0.775,0.73])
163    PlotParamOut.NextPlot='add'; %parameter for plot_profile
164else
165    hfig=get(haxes,'parent');
166    set(0,'CurrentFigure',hfig)% the parent of haxes becomes the current figure
167    set(hfig,'CurrentAxes',haxes)%  haxes becomes the current axes of the parent figure
168end
169
170%% set axes properties
171if isfield(PlotParamOut.Axes,'CheckFixLimits') && isequal(PlotParamOut.Axes.CheckFixLimits,1)  %adjust the graph limits
172    set(haxes,'XLimMode', 'manual')
173    set(haxes,'YLimMode', 'manual')
174else
175    set(haxes,'XLimMode', 'auto')
176    set(haxes,'YLimMode', 'auto')
177end
178
179if isfield(PlotParamOut.Axes,'CheckFixAspectRatio') && isequal(PlotParamOut.Axes.CheckFixAspectRatio,1)&&isfield(PlotParamOut.Axes,'AspectRatio')
180    set(haxes,'DataAspectRatioMode','manual')
181    set(haxes,'DataAspectRatio',[PlotParamOut.Axes.AspectRatio 1 1])
182else
183    set(haxes,'DataAspectRatioMode','auto')%automatic aspect ratio
184end
185
186errormsg='';
187AxeData=get(haxes,'UserData');
188
189%% 2D plots
190if isempty(index_2D)
191    plot_plane([],[],haxes,[]);%removes images or vector plots in the absence of 2D field plot
192else  %plot 2D field
193%     if ~exist('PosColorbar','var'),PosColorbar=[];end;
194    [tild,PlotParamOut,PlotType,errormsg]=plot_plane(Data,CellInfo(index_2D),haxes,PlotParamOut);
195    AxeData.NbDim=2;
196    if testzoomaxes && isempty(errormsg)
197        [zoomaxes,PlotParamOut,tild,errormsg]=plot_plane(Data,CellInfo(index_2D),zoomaxes,PlotParamOut);
198        AxeData.ZoomAxes=zoomaxes;
199    end
200end
201
202%% 1D plot (usual graph y vs x)
203if isempty(index_1D)|| ~isempty(index_2D)
204    if ~isempty(haxes)
205        plot_profile([],[],haxes);%removes usual praphs y vs x in the absence of 1D field plot
206    end
207else %plot 1D field (usual graph y vs x)
208    CheckHold=0;
209    if isfield(PlotParam,'CheckHold')
210        CheckHold= PlotParam.CheckHold;
211    end       
212    PlotParamOut=plot_profile(Data,CellInfo(index_1D),haxes,PlotParamOut,CheckHold);%
213    if isempty(index_2D)
214        if isfield(PlotParamOut,'Vectors')
215            PlotParamOut=rmfield(PlotParamOut,'Vectors');
216        end
217        if isfield(PlotParamOut,'Scalar')
218            PlotParamOut=rmfield(PlotParamOut,'Scalar');
219        end
220    end
221    if testzoomaxes
222        [zoomaxes,PlotParamOut.Axes]=plot_profile(Data,CellInfo(index_1D),zoomaxes,PlotParamOut.Axes,CheckHold);
223        AxeData.ZoomAxes=zoomaxes;
224    end
225    PlotType='line';
226end
227
228%% aspect ratio
229AspectRatio=get(haxes,'DataAspectRatio');
230PlotParamOut.Axes.AspectRatio=AspectRatio(1)/AspectRatio(2);
231
232%% text display
233if ~(isfield(PlotParamOut,'Axes')&&isfield(PlotParamOut.Axes,'TextDisplay')&&(PlotParamOut.Axes.TextDisplay)) % if text is not already given as statistics
234    htext=findobj(hfig,'Tag','TableDisplay');
235    if ~isempty(htext)%&&~isempty(hchecktable)
236        if isempty(index_0D)
237        else
238            errormsg=plot_text(Data,CellInfo(index_0D),htext);
239            set(htext,'visible','on')
240        end
241        set(hfig,'Unit','pixels');
242        set(htext,'Unit','pixels')
243        PosFig=get(hfig,'Position');
244        % case of no plot with view_field: only text display
245        if strcmp(get(hfig,'Tag'),'view_field')
246            if isempty(index_1D) && isempty(index_2D)% case of no plot: only text display
247                set(haxes,'Visible','off')
248                PosTable=get(htext,'Position');
249                set(hfig,'Position',[PosFig(1) PosFig(2)  PosTable(3) PosTable(4)])
250            else
251                set(haxes,'Visible','on')
252                set(hfig,'Position',[PosFig(1) PosFig(2)  877 677])%default size for view_field
253            end
254        end
255    end
256end
257%% display error message
258if ~isempty(errormsg)
259    PlotType=errormsg;
260    msgbox_uvmat('ERROR', errormsg)
261end
262
263%% update the parameters stored in AxeData
264if ishandle(haxes)&&( ~isempty(index_2D)|| ~isempty(index_1D))
265    if isfield(PlotParamOut,'MinX')
266        AxeData.RangeX=[PlotParamOut.MinX PlotParamOut.MaxX];
267        AxeData.RangeY=[PlotParamOut.MinY PlotParamOut.MaxY];
268    end
269    set(haxes,'UserData',AxeData)
270end
271
272%% update the plotted field stored in parent figure
273if ~isempty(index_2D)|| ~isempty(index_1D)
274    FigData=get(hfig,'UserData');
275    if strcmp(get(hfig,'tag'),'view_field')||strcmp(get(hfig,'tag'),'uvmat')
276        FigData.(get(haxes,'tag'))=Data;
277        set(hfig,'UserData',FigData)
278    end
279end
280
281%-------------------------------------------------------------------
282% --- plot 0D fields: display data values without plot
283%------------------------------------------------------------------
284function errormsg=plot_text(FieldData,CellInfo,htext)
285
286errormsg='';
287txt_cell={};
288Data={};
289VarIndex=[];
290for icell=1:length(CellInfo)
291   
292    % select types of  variables to be projected
293    ListProj={'VarIndex_scalar','VarIndex_image','VarIndex_color','VarIndex_vector_x','VarIndex_vector_y'};
294    check_proj=false(size(FieldData.ListVarName));
295    for ilist=1:numel(ListProj)
296        if isfield(CellInfo{icell},ListProj{ilist})
297            check_proj(CellInfo{icell}.(ListProj{ilist}))=1;
298        end
299    end
300    VarIndex=[VarIndex find(check_proj)];
301end
302
303% data need to be displayed in a table
304% if strcmp(get(htext,'Type'),'uitable')% display data in a table
305%     VarNameCell=cell(1,numel(VarIndex));% prepare list of variable names to display (titles of columns)
306%     VarLength=zeros(1,numel(VarIndex));  % default number of values for each variable
307%     for ivar=1:numel(VarIndex)
308%         VarNameCell{ivar}=FieldData.ListVarName{VarIndex(ivar)};
309%         VarLength(ivar)=numel(FieldData.(VarNameCell{ivar}));
310%     end
311%     set(htext,'ColumnName',VarNameCell)
312%     Data=cell(max(VarLength),numel(VarIndex));% prepare the table of data display
313%     
314%     for ivar=1:numel(VarIndex)
315%         VarValue=FieldData.(VarNameCell{ivar});
316%         VarValue=reshape(VarValue,[],1);% reshape values array in a column
317%         Data(1:numel(VarValue),ivar)=num2cell(VarValue);
318%     end
319%     set(htext,'Data',Data)
320% end
321%         if numel(VarValue)>1 && numel(VarValue)<10 % case of a variable with several values
322%             for ind=1:numel(VarValue)
323%                 VarNameCell{1,ind}=[VarName '_' num2str(ind)];% indicate each value by an index
324%             end
325%         else
326%             VarNameCell={VarName};
327%         end
328%         if numel(VarValue)<10
329%             if isempty(VarValue)
330%                 VarValueCell={'[]'};
331%             else
332%                 VarValueCell=num2cell(VarValue);
333%             end
334%             if isempty(Data)
335%                 Data =[VarNameCell VarValueCell];
336%             else
337%                 Data =[Data [VarNameCell VarValueCell]];
338%             end
339%         else
340%             if isempty(Data)
341%                 Data =[VarNameCell; num2cell(VarValue)];
342%             else
343%                 Data =[Data [VarNameCell; {['size ' num2str(size(VarValue))]}]];
344%             end
345%         end
346%         if size(VarValue,1)==1
347%             txt=[VarName '=' num2str(VarValue)];
348%             txt_cell=[txt_cell;{txt}];
349%         end
350%     end
351% end
352% if strcmp(get(htext,'Type'),'uitable')% display data in a table
353%
354
355%     set(htext,'Data',Data(2:end,:))
356% else  % display in a text edit box
357%     set(htext,'String',txt_cell)
358%     set(htext,'UserData',txt_cell)% for temporary storage when the edit box is used for mouse display
359% end
360
361
362%-------------------------------------------------------------------
363% --- plot 1D fields (usual x,y plots)
364%-------------------------------------------------------------------
365function PlotParamOut=plot_profile(data,CellInfo,haxes,PlotParam,CheckHold)
366
367%% initialization
368if ~(exist('PlotParam','var')&&~isempty(PlotParam.Axes))
369    Coordinates=[];
370    PlotParamOut.Axes=Coordinates;
371else
372    Coordinates=PlotParam.Axes;
373    PlotParamOut=PlotParam;
374end
375hfig=get(haxes,'parent');
376legend_str={};
377
378%% suppress existing plot if empty data
379if isempty(data)
380    hplot=findobj(haxes,'tag','plot_line');
381    if ~isempty(hplot)
382        delete(hplot)
383    end
384    hlegend=findobj(hfig,'tag','legend');
385    if ~isempty(hlegend)
386        delete(hlegend)
387    end
388    return
389end
390
391%% set the colors of the successive plots (designed to produce rgb for the three components of color images)
392ColorOrder=[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];
393set(hfig,'DefaultAxesColorOrder',ColorOrder)
394if CheckHold
395    set(haxes,'NextPlot','add')
396else
397    set(haxes,'NextPlot','replace')
398end
399
400%% prepare the string for plot command
401plotstr='hhh=plot(';
402xtitle='';
403ytitle='';
404test_newplot=~CheckHold;
405MinX=[];
406MaxX=[];
407MinY_cell=[];
408MaxY_cell=[];
409testplot=ones(size(data.ListVarName));%default test for plotted variables
410%loop on input  fields
411for icell=1:numel(CellInfo)
412    VarIndex=[CellInfo{icell}.YIndex CellInfo{icell}.YIndex_discrete];%  indices of the selected variables in the list data.ListVarName
413    coord_x_index=CellInfo{icell}.XIndex;
414    coord_x_name{icell}=data.ListVarName{coord_x_index};
415    coord_x{icell}=data.(data.ListVarName{coord_x_index});%coordinate variable set as coord_x
416    if isempty(find(strcmp(coord_x_name{icell},coord_x_name(1:end-1)), 1)) %xtitle not already selected
417        xtitle=[xtitle coord_x_name{icell}];
418        if isfield(data,'VarAttribute')&& numel(data.VarAttribute)>=coord_x_index && isfield(data.VarAttribute{coord_x_index},'units')
419            xtitle=[xtitle '(' data.VarAttribute{coord_x_index}.units '), '];
420        else
421            xtitle=[xtitle ', '];
422        end
423    end
424    if ~isempty(coord_x{icell})
425        MinX(icell)=min(coord_x{icell});
426        MaxX(icell)=max(coord_x{icell});
427        testplot(coord_x_index)=0;
428        if isfield(CellInfo{icell},'VarIndex_ancillary')
429            testplot(CellInfo{icell}.VarIndex_ancillary)=0;
430        end
431        if isfield(CellInfo{icell},'VarIndex_warnflag')
432            testplot(CellInfo{icell}.VarIndex_warnflag)=0;
433        end
434        if isfield(data,'VarAttribute')
435            VarAttribute=data.VarAttribute;
436            for ivar=1:length(VarIndex)
437                if length(VarAttribute)>=VarIndex(ivar) && isfield(VarAttribute{VarIndex(ivar)},'long_name')
438                    plotname{VarIndex(ivar)}=VarAttribute{VarIndex(ivar)}.long_name;
439                else
440                    plotname{VarIndex(ivar)}=data.ListVarName{VarIndex(ivar)};%name for display in plot A METTRE
441                end
442            end
443        end
444        if isfield(CellInfo{icell},'YIndex_discrete')&& ~isempty(CellInfo{icell}.YIndex_discrete)
445            charplot_0='''+''';
446        else
447            charplot_0='''-''';
448        end
449        MinY=[];
450        MaxY=[];%default
451       
452        nbplot=0;
453        for ivar=1:length(VarIndex)
454            if testplot(VarIndex(ivar))
455                VarName=data.ListVarName{VarIndex(ivar)};
456                nbplot=nbplot+1;
457                ytitle=[ytitle VarName];
458                if isfield(data,'VarAttribute')&& numel(data.VarAttribute)>=VarIndex(ivar) && isfield(data.VarAttribute{VarIndex(ivar)},'units')
459                    ytitle=[ytitle '(' data.VarAttribute{VarIndex(ivar)}.units '), '];
460                else
461                    ytitle=[ytitle ', '];
462                end
463                eval(['data.' VarName '=squeeze(data.' VarName ');'])
464                MinY(ivar)=min(min(data.(VarName)));
465                MaxY(ivar)=max(max(data.(VarName)));
466                plotstr=[plotstr 'coord_x{' num2str(icell) '},data.' VarName ',' charplot_0 ','];
467                eval(['nbcomponent2=size(data.' VarName ',2);']);
468                eval(['nbcomponent1=size(data.' VarName ',1);']);
469                if numel(coord_x{icell})==2
470                    coord_x{icell}=linspace(coord_x{icell}(1),coord_x{icell}(2),nbcomponent1);
471                end
472                if nbcomponent1==1|| nbcomponent2==1
473                    legend_str=[legend_str {VarName}]; %variable with one component
474                else  %variable with severals  components
475                    for ic=1:min(nbcomponent1,nbcomponent2)
476                        legend_str=[legend_str [VarName '_' num2str(ic)]]; %variable with severals  components
477                    end                                                   % labeled by their index (e.g. color component)
478                end
479            end
480        end
481        if ~isempty(MinY)
482            MinY_cell(icell)=min(MinY);
483            MaxY_cell(icell)=max(MaxY);
484        end
485    end
486end
487
488%% activate the plot
489if  ~isequal(plotstr,'hhh=plot(') 
490    set(hfig,'CurrentAxes',haxes)
491    tag=get(haxes,'tag');   
492    %%%
493    plotstr=[plotstr '''tag'',''plot_line'');'];   
494    eval(plotstr)                  %execute plot (instruction  plotstr)
495    %%%
496    set(haxes,'tag',tag)% restitute the axes tag (removed by the command plot)
497    set(haxes,'ColorOrder',ColorOrder)% restitute the plot color order (to get red green blue for histograms or cuts of color images)
498    grid(haxes, 'on')
499    hxlabel=xlabel(xtitle(1:end-2));% xlabel (removes ', ' at the end)
500    set(hxlabel,'Interpreter','none')% desable tex interpreter
501    if length(legend_str)>=1
502        hylabel=ylabel(ytitle(1:end-2));% ylabel (removes ', ' at the end)
503        set(hylabel,'Interpreter','none')% desable tex interpreter
504    end
505    if ~isempty(legend_str)
506        hlegend=findobj(hfig,'Tag','legend');
507        if isempty(hlegend)
508            hlegend=legend(legend_str);
509            txt=ver('MATLAB');
510            Release=txt.Release;
511            relnumb=str2double(Release(3:4));% should be changed to Version for better compatibility
512            if relnumb >= 14
513                set(hlegend,'Interpreter','none')% desable tex interpreter
514            end
515        else
516            legend_old=get(hlegend,'String');
517            if isequal(size(legend_old,1),size(legend_str,1))&&~isequal(legend_old,legend_str)
518                set(hlegend,'String',[legend_old legend_str]);
519            end
520        end
521    end
522    title_str='';
523    if isfield(data,'filename')
524       [Path, title_str, ext]=fileparts(data.filename);
525       title_str=[title_str ext];
526    end
527    if isfield(data,'Action')&&isfield(data.Action,'ActionName')
528        if ~isequal(title_str,'')
529            title_str=[title_str ', '];
530        end
531        title_str=[title_str data.Action.ActionName];
532    end
533    htitle=title(title_str);
534    set(htitle,'Interpreter','none')% desable tex interpreter
535end
536
537%% determine axes bounds
538fix_lim=isfield(Coordinates,'CheckFixLimits') && Coordinates.CheckFixLimits;
539check_lim=isfield(Coordinates,'MinX')&&isfield(Coordinates,'MaxX')&&isfield(Coordinates,'MinY')&&isfield(Coordinates,'MaxY');
540if fix_lim
541    if ~check_lim
542        fix_lim=0; %free limits if limits are not set,
543    end
544end
545if fix_lim
546    set(haxes,'XLim',[Coordinates.MinX Coordinates.MaxX])
547    set(haxes,'YLim',[Coordinates.MinY Coordinates.MaxY])
548else
549    if ~isempty(MinX)
550        if check_lim
551            Coordinates.MinX=min(min(MinX),Coordinates.MinX);
552            Coordinates.MaxX=max(max(MaxX),Coordinates.MaxX);
553        else
554            Coordinates.MinX=min(MinX);
555            Coordinates.MaxX=max(MaxX);
556        end
557    end
558    if ~isempty(MinY_cell)
559        if check_lim
560            Coordinates.MinY=min(min(MinY_cell),Coordinates.MinY);
561            Coordinates.MaxY=max(max(MaxY_cell),Coordinates.MaxY);
562        else
563            Coordinates.MinY=min(MinY_cell);
564            Coordinates.MaxY=max(MaxY_cell);
565        end
566    end
567end
568
569%% determine plot aspect ratio
570if isfield(Coordinates,'CheckFixAspectRatio') && isequal(Coordinates.CheckFixAspectRatio,1)&&isfield(Coordinates,'AspectRatio')
571    set(haxes,'DataAspectRatioMode','manual')
572    set(haxes,'DataAspectRatio',[Coordinates.AspectRatio 1 1])
573else
574    set(haxes,'DataAspectRatioMode','auto')%automatic aspect ratio
575    AspectRatio=get(haxes,'DataAspectRatio');
576    Coordinates.AspectRatio=AspectRatio(1)/AspectRatio(2);
577end
578PlotParamOut.Axes= Coordinates;
579
580%% give statistics for pdf
581%ind_var=find(testplot);
582TableData={'Variable';'SampleNbr';'bin size';'Mean';'RMS';'Skewness';'Kurtosis';...
583    'Min';'FirstCentile';'FirstDecile';'Median';'LastDecile';'LastCentile';'Max'};
584
585TextDisplay=0;
586for icell=1:numel(CellInfo)
587    if isfield(CellInfo{icell},'VarIndex_histo')% case of histogram plot
588        TextDisplay=1;
589        VarName=data.ListVarName{CellInfo{icell}.CoordIndex};
590        pdf_val=data.(data.ListVarName{CellInfo{icell}.VarIndex_histo});
591        x=coord_x{icell};
592        if isrow(x)
593            x=x';
594        end
595        if ~isequal(size(x,1),size(pdf_val,1))
596            pdf_val=pdf_val';
597        end
598        Val=pdf2stat(x,pdf_val);
599        Column=mat2cell(Val,ones(13,1),ones(1,size(Val,2)));
600        if size(Val,2)==1%single component
601            TitleBar={VarName};
602        else
603            TitleBar=cell(1,size(Val,2));
604            for icomp=1:size(Val,2)
605                TitleBar{icomp}=[VarName '_' num2str(icomp)];
606            end
607        end
608        Column=[TitleBar;Column];
609        TableData=[TableData Column];
610    end
611end
612if TextDisplay;
613    disp(TableData);
614    PlotParamOut.TableDisplay=TableData;
615else
616    if isfield(PlotParamOut,'TableDisplay')
617        PlotParamOut=rmfield(PlotParamOut,'TableDisplay');
618    end
619end
620   
621%-------------------------------------------------------------------
622function [haxes,PlotParamOut,PlotType,errormsg]=plot_plane(Data,CellInfo,haxes,PlotParam)
623%-------------------------------------------------------------------
624PlotType='plane';
625grid(haxes, 'off')% remove grid (possibly remaining from other graphs)
626
627%default plotting parameters
628if ~isfield(PlotParam,'Scalar')
629    PlotParam.Scalar=[];
630end
631if ~isfield(PlotParam,'Vectors')
632    PlotParam.Vectors=[];
633end
634PlotParamOut=PlotParam;%default
635errormsg='';%default
636
637hfig=get(haxes,'parent');%handle of the figure containing the plot axes
638PosColorbar=[];
639FigData=get(hfig,'UserData');
640if isfield(FigData,'PosColorbar')
641    PosColorbar=FigData.PosColorbar;
642end
643hcol=findobj(hfig,'Tag','Colorbar'); %look for colorbar axes
644hima=findobj(haxes,'Tag','ima');% search existing image in the current axes
645test_ima=0; %default: test for image or map plot
646test_vec=0; %default: test for vector plots
647test_black=0;
648test_false=0;
649test_C=0;
650XName='';
651x_units='';
652YName='';
653y_units='';
654
655% loop on the input field cells
656for icell=1:numel(CellInfo)
657    if strcmp(CellInfo{icell}.CoordType,'tps') %do not plot directly tps data (used for projection only)
658        continue
659    end
660    ivar_X=CellInfo{icell}.CoordIndex(end); % defines (unique) index for the variable representing unstructured x coordinate (default =[])
661    ivar_Y=CellInfo{icell}.CoordIndex(end-1); % defines (unique)index for the variable representing unstructured y coordinate (default =[])
662    ivar_C=[];
663    if isfield(CellInfo{icell},'VarIndex_scalar')
664        ivar_C=[ivar_C CellInfo{icell}.VarIndex_scalar];
665    end
666    if isfield(CellInfo{icell},'VarIndex_image')
667        ivar_C=[ivar_C CellInfo{icell}.VarIndex_image];
668    end
669    if isfield(CellInfo{icell},'VarIndex_color')
670        ivar_C=[ivar_C CellInfo{icell}.VarIndex_color];
671    end
672    if isfield(CellInfo{icell},'VarIndex_ancillary')
673        ivar_C=[ivar_C CellInfo{icell}.VarIndex_ancillary];
674    end
675    if numel(ivar_C)>1
676        errormsg= 'error in plot_field: too many scalar inputs';
677        return
678    end
679    ivar_F=[];
680    if isfield(CellInfo{icell},'VarIndex_warnflag')
681        ivar_F=CellInfo{icell}.VarIndex_warnflag; %defines index (unique) for warning flag variable
682    end
683    ivar_FF_vec=[];
684    if isfield(CellInfo{icell},'VarIndex_vector_x')&&isfield(CellInfo{icell},'VarIndex_vector_y') % vector components detected
685        if test_vec% a vector field has been already detected
686            errormsg='error in plot_field: attempt to plot two vector fields: to get the difference project on a plane with ProjMode= interp_lin or interp_tps';
687            return
688        else
689            if numel(CellInfo{icell}.VarIndex_vector_x)>1
690                errormsg='error in plot_field: attempt to plot two vector fields';
691                return
692            end
693            test_vec=1;
694            if isfield(CellInfo{icell},'VarIndex_errorflag')
695                ivar_FF_vec=CellInfo{icell}.VarIndex_errorflag; %defines index (unique) for error flag variable
696            end
697            vec_U=Data.(Data.ListVarName{CellInfo{icell}.VarIndex_vector_x});
698            vec_V=Data.(Data.ListVarName{CellInfo{icell}.VarIndex_vector_y});
699            XName=Data.ListVarName{CellInfo{icell}.CoordIndex(end)};
700            YName=Data.ListVarName{CellInfo{icell}.CoordIndex(end-1)};
701            if strcmp(CellInfo{icell}.CoordType,'scattered')%2D field with unstructured coordinates
702                vec_X=reshape(Data.(XName),[],1); %transform vectors in column matlab vectors
703                vec_Y=reshape(Data.(YName),[],1);
704            elseif strcmp(CellInfo{icell}.CoordType,'grid')%2D field with structured coordinates
705                y=Data.(YName);
706                x=Data.(XName);
707                if numel(y)==2 % y defined by first and last values on aregular mesh
708                    y=linspace(y(1),y(2),size(vec_U,1));
709                end
710                if numel(x)==2 % y defined by first and last values on aregular mesh
711                    x=linspace(x(1),x(2),size(vec_U,2));
712                end
713                [vec_X,vec_Y]=meshgrid(x,y);
714            end
715            if isfield(PlotParam.Vectors,'ColorScalar') && ~isempty(PlotParam.Vectors.ColorScalar)
716                [VarVal,ListVarName,VarAttribute,errormsg]=calc_field_interp([],Data,PlotParam.Vectors.ColorScalar);
717                if ~isempty(VarVal)
718                    vec_C=reshape(VarVal{1},1,numel(VarVal{1}));
719                    test_C=1;
720                end
721            end
722            if ~isempty(ivar_F)%~(isfield(PlotParam.Vectors,'HideWarning')&& isequal(PlotParam.Vectors.HideWarning,1))
723                vec_F=Data.(Data.ListVarName{ivar_F}); % warning flags for  dubious vectors
724                if  ~(isfield(PlotParam.Vectors,'CheckHideWarning') && isequal(PlotParam.Vectors.CheckHideWarning,1))
725                    test_black=1;
726                end
727            end
728            if ~isempty(ivar_FF_vec) %&& ~test_false
729                vec_FF=Data.(Data.ListVarName{ivar_FF_vec}); % flags for false vectors
730            end
731        end
732    elseif ~isempty(ivar_C) %scalar or image
733        if test_ima
734            errormsg='attempt to plot two scalar fields or images';
735            return
736        end
737        A=squeeze(Data.(Data.ListVarName{ivar_C}));% scalar represented as color image
738        test_ima=1;
739        if strcmp(CellInfo{icell}.CoordType,'scattered')%2D field with unstructured coordinates
740            A=reshape(A,1,[]);
741            XName=Data.ListVarName{ivar_X};
742            YName=Data.ListVarName{ivar_Y};
743            Coord_x=reshape(Data.(XName),1,[]);
744            Coord_y=reshape(Data.(YName),1,[]);
745            [A,Coord_x,Coord_y]=proj_grid(Coord_x',Coord_y',A',[],[],'np>256');  % interpolate on a grid
746            if isfield(Data,'VarAttribute')
747                if numel(Data.VarAttribute)>=ivar_X && isfield(Data.VarAttribute{ivar_X},'units')
748                    x_units=[' (' Data.VarAttribute{ivar_X}.units ')'];
749                end
750                if numel(Data.VarAttribute)>=ivar_Y && isfield(Data.VarAttribute{ivar_Y},'units')
751                    y_units=[' (' Data.VarAttribute{ivar_Y}.units ')'];
752                end
753            end
754        elseif strcmp(CellInfo{icell}.CoordType,'grid')%2D field with structured coordinates
755            YName=Data.ListVarName{CellInfo{icell}.CoordIndex(end-1)};
756            XName=Data.ListVarName{CellInfo{icell}.CoordIndex(end)};
757            Coord_y=Data.(YName);
758            Coord_x=Data.(XName);
759            test_interp_X=0; %default, regularly meshed X coordinate
760            test_interp_Y=0; %default, regularly meshed Y coordinate
761            if isfield(Data,'VarAttribute')
762                if numel(Data.VarAttribute)>=CellInfo{icell}.CoordIndex(end) && isfield(Data.VarAttribute{CellInfo{icell}.CoordIndex(end)},'units')
763                    x_units=Data.VarAttribute{CellInfo{icell}.CoordIndex(end)}.units;
764                end
765                if numel(Data.VarAttribute)>=CellInfo{icell}.CoordIndex(end-1) && isfield(Data.VarAttribute{CellInfo{icell}.CoordIndex(end-1)},'units')
766                    y_units=Data.VarAttribute{CellInfo{icell}.CoordIndex(end-1)}.units;
767                end
768            end
769            if numel(Coord_y)>2
770                DCoord_y=diff(Coord_y);
771                DCoord_y_min=min(DCoord_y);
772                DCoord_y_max=max(DCoord_y);
773                if sign(DCoord_y_min)~=sign(DCoord_y_max);% =1 for increasing values, 0 otherwise
774                    errormsg=['errror in plot_field.m: non monotonic dimension variable ' YName ];
775                    return
776                end
777                test_interp_Y=(DCoord_y_max-DCoord_y_min)> 0.0001*abs(DCoord_y_max);
778            end
779            if numel(Coord_x)>2
780                DCoord_x=diff(Coord_x);
781                DCoord_x_min=min(DCoord_x);
782                DCoord_x_max=max(DCoord_x);
783                if sign(DCoord_x_min)~=sign(DCoord_x_max);% =1 for increasing values, 0 otherwise
784                    errormsg=['errror in plot_field.m: non monotonic dimension variable ' Data.ListVarName{VarRole.coord(2)} ];
785                    return
786                end
787                test_interp_X=(DCoord_x_max-DCoord_x_min)> 0.0001*abs(DCoord_x_max);
788            end
789            if test_interp_Y
790                npxy(1)=max([256 floor((Coord_y(end)-Coord_y(1))/DCoord_y_min) floor((Coord_y(end)-Coord_y(1))/DCoord_y_max)]);
791                yI=linspace(Coord_y(1),Coord_y(end),npxy(1));
792                if ~test_interp_X
793                    xI=linspace(Coord_x(1),Coord_x(end),size(A,2));%default
794                    Coord_x=xI;
795                end
796            end
797            if test_interp_X
798                npxy(2)=max([256 floor((Coord_x(end)-Coord_x(1))/DCoord_x_min) floor((Coord_x(end)-Coord_x(1))/DCoord_x_max)]);
799                xI=linspace(Coord_x(1),Coord_x(end),npxy(2));
800                if ~test_interp_Y
801                    yI=linspace(Coord_y(1),Coord_y(end),size(A,1));
802                    Coord_y=yI;
803                end
804            end
805            if test_interp_X || test_interp_Y
806                [Coord_x2D,Coord_y2D]=meshgrid(Coord_x,Coord_y);
807                A=interp2(Coord_x2D,Coord_y2D,double(A),xI,yI');
808            end
809            Coord_x=[Coord_x(1) Coord_x(end)];% keep only the lower and upper bounds for image represnetation
810            Coord_y=[Coord_y(1) Coord_y(end)];
811        end
812    end
813    %define coordinates as CoordUnits, if not defined as attribute for each variable
814    if isfield(Data,'CoordUnit')
815        if isempty(x_units)
816            x_units=Data.CoordUnit;
817        end
818        if isempty(y_units)
819            y_units=Data.CoordUnit;
820        end
821    end
822end
823
824PlotParamOut=PlotParam; % output plot parameters equal to input by default
825
826%%   image or scalar plot %%%%%%%%%%%%%%%%%%%%%%%%%%
827if test_ima
828    % distinguish B/W and color images
829    np=size(A);%size of image
830    siz=numel(np);
831    if siz>3
832        errormsg=['unrecognized scalar type: ' num2str(siz) ' dimensions'];
833        return
834    end
835    if siz==3
836        if np(3)==1
837            siz=2;%B W image
838        elseif np(3)==3
839            siz=3;%color image
840        else
841            errormsg=['unrecognized scalar type in plot_field: considered as 2D field with ' num2str(np(3)) ' color components'];
842            return
843        end
844    end
845   
846    %set for grey scale setting
847    if isfield(PlotParam.Scalar,'CheckBW') && ~isempty(PlotParam.Scalar.CheckBW)
848        BW=PlotParam.Scalar.CheckBW; %BW=0 color imposed, else gray scale imposed.
849    else % BW imposed automatically chosen
850        BW=(siz==2) && (isa(A,'uint8')|| isa(A,'uint16'));% non color images represented in gray scale by default
851        PlotParamOut.Scalar.CheckBW=BW;
852    end
853   
854    % determine the plot option 'image' or 'contours'
855    CheckContour=0; %default
856    if isfield(PlotParam.Scalar,'ListContour')
857        CheckContour=strcmp(PlotParam.Scalar.ListContour,'contours');% =1 for contour plot option
858    end
859   
860    %case of grey level images or contour plot
861    if ~isfield(PlotParam.Scalar,'CheckFixScalar')
862        PlotParam.Scalar.CheckFixScalar=0;% free scalar threshold value scale (from min to max) by default
863    end
864    if ~isfield(PlotParam.Scalar,'MinA')
865        PlotParam.Scalar.MinA=[];%no min scalar threshold value set
866    end
867    if ~isfield(PlotParam.Scalar,'MaxA')
868        PlotParam.Scalar.MaxA=[];%no max scalar threshold value set
869    end
870   
871    % determine the min scalar value
872    if PlotParam.Scalar.CheckFixScalar && ~isempty(PlotParam.Scalar.MinA) && isnumeric(PlotParam.Scalar.MinA)
873        MinA=double(PlotParam.Scalar.MinA); % min value set as input
874    else
875        MinA=double(min(min(min(A)))); % min value set as min of non NaN scalar values
876    end
877   
878    % error if the input scalar is NaN everywhere
879    if isnan(MinA)
880        errormsg='NaN input scalar or image in plot_field';
881        return
882    end
883   
884    % determine the max scalar value
885    CheckFixScalar=0;
886    if PlotParam.Scalar.CheckFixScalar && ~isempty(PlotParam.Scalar.MaxA) && isnumeric(PlotParam.Scalar.MaxA)
887        MaxA=double(PlotParam.Scalar.MaxA); % max value set as input
888        CheckFixScalar=1;
889    else
890        MaxA=double(max(max(max(A)))); % max value set as min of non NaN scalar values
891    end
892   
893    PlotParamOut.Scalar.MinA=MinA;
894    PlotParamOut.Scalar.MaxA=MaxA;
895    PlotParamOut.Scalar.Npx=size(A,2);
896    PlotParamOut.Scalar.Npy=size(A,1);
897    %     if siz==2
898    % case of contour plot
899    if CheckContour
900        if ~isempty(hima) && ishandle(hima)
901            delete(hima) % delete existing image
902        end
903       
904        % set the contour values
905        if ~isfield(PlotParam.Scalar,'IncrA')
906            PlotParam.Scalar.IncrA=[];% automatic contour interval
907        end
908        if ~isempty(PlotParam.Scalar.IncrA) && isnumeric(PlotParam.Scalar.IncrA)
909            interval=PlotParam.Scalar.IncrA;
910        else % automatic contour interval
911            cont=colbartick(MinA,MaxA);
912            interval=cont(2)-cont(1);%default
913            PlotParamOut.Scalar.IncrA=interval;% set the interval as output for display on the GUI
914        end
915        abscontmin=interval*floor(MinA/interval);
916        abscontmax=interval*ceil(MaxA/interval);
917        contmin=interval*floor(min(min(A))/interval);
918        contmax=interval*ceil(max(max(A))/interval);
919        cont_pos_plus=0:interval:contmax;% zero and positive contour values (plotted as solid lines)
920        cont_pos_min=double(contmin):interval:-interval;% negative contour values (plotted as dashed lines)
921        cont_pos=[cont_pos_min cont_pos_plus];% set of all contour values
922       
923        sizpx=(Coord_x(end)-Coord_x(1))/(np(2)-1);
924        sizpy=(Coord_y(1)-Coord_y(end))/(np(1)-1);
925        x_cont=Coord_x(1):sizpx:Coord_x(end); % pixel x coordinates for image display
926        y_cont=Coord_y(1):-sizpy:Coord_y(end); % pixel x coordinates for image display
927       
928        %axes(haxes)% set the input axes handle as current axis
929       
930        % colormap(map);
931        tag_axes=get(haxes,'Tag');% axes tag
932        Opacity=1;
933        if isfield(PlotParam.Scalar,'Opacity')&&~isempty(PlotParam.Scalar.Opacity)
934            Opacity=PlotParam.Scalar.Opacity;
935        end
936        % fill the space between contours if opacity is undefined or =1
937        if isequal(Opacity,1)
938            [var,hcontour]=contour(haxes,x_cont,y_cont,A,cont_pos);% determine all contours
939            set(hcontour,'Fill','on')% fill the space between contours
940            set(hcontour,'LineStyle','none')
941            hold on
942        end
943        [var_p,hcontour_p]=contour(haxes,x_cont,y_cont,A,cont_pos_plus,'k-');% draw the contours for positive values as solid lines
944        hold on
945        [var_m,hcontour_m]=contour(haxes,x_cont,y_cont,A,cont_pos_min,'--');% draw the contours for negative values as dashed lines
946        if isequal(Opacity,1)
947            set(hcontour_m,'LineColor',[1 1 1])% draw negative contours in white (better visibility in dark background)
948        end
949        set(haxes,'Tag',tag_axes);% restore axes tag (removed by the matlab fct contour !)
950        hold off
951       
952        %determine the color scale and map
953        caxis([abscontmin abscontmax])
954        if BW
955            vec=linspace(0,1,(abscontmax-abscontmin)/interval);%define a greyscale colormap with steps interval
956            map=[vec' vec' vec'];
957            colormap(map);
958        else
959            colormap('jet'); % default matlab colormap ('jet')
960        end
961       
962        if isfield(PlotParam.Axes,'CheckFixAspectRatio') && isequal(PlotParam.Axes.CheckFixAspectRatio,1)
963            set(haxes,'DataAspectRatioMode','manual')
964            if isfield(PlotParam.Axes,'AspectRatio')
965                set(haxes,'DataAspectRatio',[PlotParam.Axes.AspectRatio 1 1])
966            else
967                set(haxes,'DataAspectRatio',[1 1 1])
968            end
969        end
970    else %usual images (no contour)
971        % set  colormap for  image display
972        if BW
973            vec=linspace(0,1,255);%define a linear greyscale colormap
974            map=[vec' vec' vec'];
975            colormap(map);  %grey scale color map
976            if siz==3% true color images visualized in BW
977                A=uint16(sum(A,3));%sum the three color components for color images displayed with BW option
978            end
979        else
980            if siz==3 && CheckFixScalar % true color images rescaled by MaxA
981                  A=uint8(255*double(A)/double(MaxA));
982            end
983            colormap('default'); % standard false colors for div, vort , scalar fields
984        end
985       
986        % interpolate field to increase resolution of image display
987        test_interp=0;
988        if size(A,3)==1 % scalar or B/W image
989            test_interp=1;
990            if max(np) <= 64
991                npxy=8*np;% increase the resolution 8 times
992            elseif max(np) <= 128
993                npxy=4*np;% increase the resolution 4 times
994            elseif max(np) <= 256
995                npxy=2*np;% increase the resolution 2 times
996            else
997                npxy=np;
998                test_interp=0; % no interpolation done
999            end
1000        end
1001        if test_interp%if we interpolate
1002            x=linspace(Coord_x(1),Coord_x(2),np(2));
1003            y=linspace(Coord_y(1),Coord_y(2),np(1));
1004            [X,Y]=meshgrid(x,y);
1005            xi=linspace(Coord_x(1),Coord_x(2),npxy(2));
1006            yi=linspace(Coord_y(1),Coord_y(2),npxy(1));
1007            A = interp2(X,Y,double(A),xi,yi');
1008        end
1009        % create new image if no image handle is found
1010        if isempty(hima)
1011            tag=get(haxes,'Tag');
1012            if MinA<MaxA
1013                hima=imagesc(Coord_x,Coord_y,A,[MinA MaxA]);
1014            else % to deal with uniform field
1015                hima=imagesc(Coord_x,Coord_y,A,[MaxA-1 MaxA]);
1016            end
1017            % the function imagesc reset the axes 'DataAspectRatioMode'='auto', change if .CheckFixAspectRatio is
1018            % requested:
1019            set(hima,'Tag','ima')
1020            set(hima,'HitTest','off')
1021            set(haxes,'Tag',tag);%preserve the axes tag (removed by image fct !!!)
1022            uistack(hima, 'bottom')
1023            % update an existing image
1024        else
1025            set(hima,'CData',A);
1026            if MinA<MaxA
1027                set(haxes,'CLim',[MinA MaxA])
1028            else
1029                set(haxes,'CLim',[MinA MaxA+1])
1030            end
1031            set(hima,'XData',Coord_x);
1032            set(hima,'YData',Coord_y);
1033        end
1034       
1035        % set the transparency to 0.5 if vectors are also plotted
1036        if isfield(PlotParam.Scalar,'Opacity')&& ~isempty(PlotParam.Scalar.Opacity)
1037            set(hima,'AlphaData',PlotParam.Scalar.Opacity)
1038        else
1039            if test_vec
1040                set(hima,'AlphaData',0.5)%set opacity to 0.5 by default in the presence of vectors
1041                PlotParamOut.Scalar.Opacity=0.5;
1042            else
1043                set(hima,'AlphaData',1)% full opacity (no transparency) by default
1044            end
1045        end
1046    end
1047    test_ima=1;
1048   
1049    %display the colorbar code for B/W images if Poscolorbar not empty
1050    if ~isempty(PosColorbar)
1051        if size(A,3)==1 && exist('PosColorbar','var')
1052            if isempty(hcol)||~ishandle(hcol)
1053                hcol=colorbar;%create new colorbar
1054            end
1055            if length(PosColorbar)==4
1056                set(hcol,'Position',PosColorbar)
1057            end
1058            %YTick=0;%default
1059            if MaxA>MinA
1060                if CheckContour
1061                    colbarlim=get(hcol,'YLim');
1062                    scale_bar=(colbarlim(2)-colbarlim(1))/(abscontmax-abscontmin);
1063                    YTick=cont_pos(2:end-1);
1064                    YTick_scaled=colbarlim(1)+scale_bar*(YTick-abscontmin);
1065                    set(hcol,'YTick',YTick_scaled);
1066                elseif (isfield(PlotParam.Scalar,'CheckBW') && isequal(PlotParam.Scalar.CheckBW,1))||isa(A,'uint8')|| isa(A,'uint16')%images
1067                    hi=get(hcol,'children');
1068                    if iscell(hi)%multiple images in colorbar
1069                        hi=hi{1};
1070                    end
1071                    set(hi,'YData',[MinA MaxA])
1072                    set(hi,'CData',(1:256)')
1073                    set(hcol,'YLim',[MinA MaxA])
1074                    YTick=colbartick(MinA,MaxA);
1075                    set(hcol,'YTick',YTick)
1076                else
1077                    hi=get(hcol,'children');
1078                    if iscell(hi)%multiple images in colorbar
1079                        hi=hi{1};
1080                    end
1081                    set(hi,'YData',[MinA MaxA])
1082                    set(hi,'CData',(1:64)')
1083                    YTick=colbartick(MinA,MaxA);
1084                    set(hcol,'YLim',[MinA MaxA])
1085                    set(hcol,'YTick',YTick)
1086                end
1087                set(hcol,'Yticklabel',num2str(YTick'));
1088            end
1089        elseif ishandle(hcol)
1090            delete(hcol); %erase existing colorbar if not needed
1091        end
1092    end
1093else%no scalar plot
1094    if ~isempty(hima) && ishandle(hima)
1095        delete(hima)
1096    end
1097    if ~isempty(PosColorbar) && ~isempty(hcol)&& ishandle(hcol)
1098        delete(hcol)
1099    end
1100    PlotParamOut=rmfield(PlotParamOut,'Scalar');
1101end
1102
1103%%   vector plot %%%%%%%%%%%%%%%%%%%%%%%%%%
1104if test_vec
1105   %vector scale representation
1106    if size(vec_U,1)==numel(vec_Y) && size(vec_U,2)==numel(vec_X); % x, y  coordinate variables
1107        [vec_X,vec_Y]=meshgrid(vec_X,vec_Y);
1108    end   
1109    vec_X=reshape(vec_X,1,numel(vec_X));%reshape in matlab vectors
1110    vec_Y=reshape(vec_Y,1,numel(vec_Y));
1111    vec_U=reshape(vec_U,1,numel(vec_U));
1112    vec_V=reshape(vec_V,1,numel(vec_V));
1113     MinMaxX=max(vec_X)-min(vec_X);
1114    if  isfield(PlotParam.Vectors,'CheckFixVectors') && isequal(PlotParam.Vectors.CheckFixVectors,1)&& isfield(PlotParam.Vectors,'VecScale')...
1115               &&~isempty(PlotParam.Vectors.VecScale) && isa(PlotParam.Vectors.VecScale,'double') %fixed vector scale
1116        scale=PlotParam.Vectors.VecScale;  %impose the length of vector representation
1117    else
1118        if ~test_false %remove false vectors   
1119            indsel=1:numel(vec_X);%
1120        end
1121        if isempty(vec_U)
1122            scale=1;
1123        else
1124            if isempty(indsel)
1125                MaxU=max(abs(vec_U));
1126                MaxV=max(abs(vec_V));
1127            else
1128                MaxU=max(abs(vec_U(indsel)));
1129                MaxV=max(abs(vec_V(indsel)));
1130            end
1131            scale=MinMaxX/(max(MaxU,MaxV)*50);
1132            PlotParam.Vectors.VecScale=scale;%update the 'scale' display
1133        end
1134    end
1135   
1136    %record vectors on the plotting axes
1137    if test_C==0
1138        vec_C=ones(1,numel(vec_X));
1139    end
1140   
1141    %decimate by a factor 2 in vector mesh(4 in nbre of vectors)
1142    check_decimate=0;
1143    if isfield(PlotParam.Vectors,'CheckDecimate4') && PlotParam.Vectors.CheckDecimate4
1144        check_decimate=1;
1145        diffy=diff(vec_Y); %difference dy=vec_Y(i+1)-vec_Y(i)
1146        dy_thresh=max(abs(diffy))/2;
1147        ind_jump=find(abs(diffy) > dy_thresh); %indices with diff(vec_Y)> max/2, detect change of line
1148        ind_sel=1:ind_jump(1);%select the first line
1149        for i=2:2:length(ind_jump)-1
1150            ind_sel=[ind_sel (ind_jump(i)+1:ind_jump(i+1))];% select the odd lines
1151        end
1152        nb_sel=length(ind_sel);
1153        ind_sel=ind_sel(1:2:nb_sel);% take half the points on a line
1154    elseif isfield(PlotParam.Vectors,'CheckDecimate16') && PlotParam.Vectors.CheckDecimate16
1155        check_decimate=1;
1156        diffy=diff(vec_Y); %difference dy=vec_Y(i+1)-vec_Y(i)
1157        dy_thresh=max(abs(diffy))/2;
1158        ind_jump=find(abs(diffy) > dy_thresh); %indices with diff(vec_Y)> max/2, detect change of line
1159        ind_sel=1:ind_jump(1);%select the first line
1160        for i=2:4:length(ind_jump)-1
1161            ind_sel=[ind_sel (ind_jump(i)+1:ind_jump(i+1))];% select the odd lines
1162        end
1163        nb_sel=length(ind_sel);
1164        ind_sel=ind_sel(1:4:nb_sel);% take half the points on a line
1165    end
1166    if check_decimate
1167        vec_X=vec_X(ind_sel);
1168        vec_Y=vec_Y(ind_sel);
1169        vec_U=vec_U(ind_sel);
1170        vec_V=vec_V(ind_sel);
1171        vec_C=vec_C(ind_sel);
1172        if ~isempty(ivar_F)
1173           vec_F=vec_F(ind_sel);
1174        end
1175        if ~isempty(ivar_FF_vec)
1176           vec_FF=vec_FF(ind_sel);
1177        end
1178    end
1179   
1180    %get main level color code
1181    [colorlist,col_vec,PlotParamOut.Vectors]=set_col_vec(PlotParam.Vectors,vec_C);
1182   
1183    % take flags into account: add flag colors to the list of colors
1184    sizlist=size(colorlist);
1185    nbcolor=sizlist(1);
1186    if test_black
1187       nbcolor=nbcolor+1;
1188       colorlist(nbcolor,:)=[0 0 0]; %add black to the list of colors
1189       if ~isempty(ivar_FF_vec)
1190            col_vec(vec_F~=1 & vec_F~=0 & vec_FF==0)=nbcolor;
1191       else
1192            col_vec(vec_F~=1 & vec_F~=0)=nbcolor;
1193       end
1194    end
1195    nbcolor=nbcolor+1;
1196    if ~isempty(ivar_FF_vec)
1197        if isfield(PlotParam.Vectors,'CheckHideFalse') && PlotParam.Vectors.CheckHideFalse==1
1198            colorlist(nbcolor,:)=[NaN NaN NaN];% no plot of false vectors
1199        else
1200            colorlist(nbcolor,:)=[1 0 1];% magenta color
1201        end
1202        col_vec(vec_FF~=0)=nbcolor;
1203    end
1204    %plot vectors:
1205    quiresetn(haxes,vec_X,vec_Y,vec_U,vec_V,scale,colorlist,col_vec);   
1206
1207else
1208    hvec=findobj(haxes,'Tag','vel');
1209    if ~isempty(hvec)
1210        delete(hvec);
1211    end
1212    PlotParamOut=rmfield(PlotParamOut,'Vectors');
1213end
1214% nbvar=0;
1215
1216%store the coordinate extrema occupied by the field
1217if ~isempty(Data)
1218    MinX=[];
1219    MaxX=[];
1220    MinY=[];
1221    MaxY=[];
1222    fix_lim=isfield(PlotParam.Axes,'CheckFixLimits') && PlotParam.Axes.CheckFixLimits;
1223    if fix_lim
1224        if isfield(PlotParam.Axes,'MinX')&&isfield(PlotParam.Axes,'MaxX')&&isfield(PlotParam.Axes,'MinY')&&isfield(PlotParam.Axes,'MaxY')
1225            MinX=PlotParam.Axes.MinX;
1226            MaxX=PlotParam.Axes.MaxX;
1227            MinY=PlotParam.Axes.MinY;
1228            MaxY=PlotParam.Axes.MaxY;
1229        end  %else PlotParamOut.MinX =PlotParam.MinX...
1230    else
1231        if test_ima %both background image and vectors coexist, take the wider bound
1232            MinX=min(Coord_x);
1233            MaxX=max(Coord_x);
1234            MinY=min(Coord_y);
1235            MaxY=max(Coord_y);
1236            if test_vec
1237                MinX=min(MinX,min(vec_X));
1238                MaxX=max(MaxX,max(vec_X));
1239                MinY=min(MinY,min(vec_Y));
1240                MaxY=max(MaxY,max(vec_Y));
1241            end
1242        elseif test_vec
1243            MinX=min(vec_X);
1244            MaxX=max(vec_X);
1245            MinY=min(vec_Y);
1246            MaxY=max(vec_Y);
1247        end
1248    end
1249    PlotParamOut.Axes.MinX=MinX;
1250    PlotParamOut.Axes.MaxX=MaxX;
1251    PlotParamOut.Axes.MinY=MinY;
1252    PlotParamOut.Axes.MaxY=MaxY;
1253    if MaxX>MinX
1254        set(haxes,'XLim',[MinX MaxX]);% set x limits of frame in axes coordinates
1255    end
1256    if MaxY>MinY
1257        set(haxes,'YLim',[MinY MaxY]);% set x limits of frame in axes coordinates
1258    end
1259    set(haxes,'YDir','normal')
1260    set(get(haxes,'XLabel'),'String',[XName ' (' x_units ')']);
1261    set(get(haxes,'YLabel'),'String',[YName ' (' y_units ')']);
1262    PlotParamOut.Axes.x_units=x_units;
1263    PlotParamOut.Axes.y_units=y_units;
1264end
1265
1266%-------------------------------------------------------------------
1267% --- function for plotting vectors
1268%INPUT:
1269% haxes: handles of the plotting axes
1270% x,y,u,v: vectors coordinates and vector components to plot, arrays withb the same dimension
1271% scale: scaling factor for vector length representation
1272% colorlist(icolor,:): list of vector colors, dim (nbcolor,3), depending on color #i
1273% col_vec: matlab vector setting the color number #i for each velocity vector
1274function quiresetn(haxes,x,y,u,v,scale,colorlist,col_vec)
1275%-------------------------------------------------------------------
1276%define arrows
1277theta=0.5 ;%angle arrow
1278alpha=0.3 ;%length arrow
1279rot=alpha*[cos(theta) -sin(theta); sin(theta) cos(theta)]';
1280%find the existing lines
1281h=findobj(haxes,'Tag','vel');% search existing lines in the current axes
1282sizh=size(h);
1283%set(h,'EraseMode','xor');
1284set(haxes,'NextPlot','replacechildren');
1285
1286%drawnow
1287%create lines (if no lines) or modify them
1288if ~isequal(size(col_vec),size(x))
1289    col_vec=ones(size(x));% case of error in col_vec input
1290end
1291sizlist=size(colorlist);
1292ncolor=sizlist(1);
1293
1294for icolor=1:ncolor
1295    %determine the line positions for each color icolor
1296    ind=find(col_vec==icolor);
1297    xc=x(ind);
1298    yc=y(ind);
1299    uc=u(ind)*scale;
1300    vc=v(ind)*scale;
1301    n=size(xc);
1302    xN=NaN*ones(size(xc));
1303    matx=[xc(:)-uc(:)/2 xc(:)+uc(:)/2 xN(:)]';
1304    matx=reshape(matx,1,3*n(2));
1305    maty=[yc(:)-vc(:)/2 yc(:)+vc(:)/2 xN(:)]';
1306    maty=reshape(maty,1,3*n(2));
1307   
1308    %determine arrow heads
1309    arrowplus=rot*[uc;vc];
1310    arrowmoins=rot'*[uc;vc];
1311    x1=xc+uc/2-arrowplus(1,:);
1312    x2=xc+uc/2;
1313    x3=xc+uc/2-arrowmoins(1,:);
1314    y1=yc+vc/2-arrowplus(2,:);
1315    y2=yc+vc/2;
1316    y3=yc+vc/2-arrowmoins(2,:);
1317    matxar=[x1(:) x2(:) x3(:) xN(:)]';
1318    matxar=reshape(matxar,1,4*n(2));
1319    matyar=[y1(:) y2(:) y3(:) xN(:)]';
1320    matyar=reshape(matyar,1,4*n(2));
1321    %draw the line or modify the existing ones
1322%     tri=reshape(1:3*length(uc),3,[])';   
1323    isn=isnan(colorlist(icolor,:));%test if color NaN
1324    if 2*icolor > sizh(1) %if icolor exceeds the number of existing ones
1325        if ~isn(1) %if the vectors are visible color not nan
1326            if n(2)>0
1327                hold on
1328                line(matx,maty,'Color',colorlist(icolor,:),'Tag','vel');% plot new lines
1329                line(matxar,matyar,'Color',colorlist(icolor,:),'Tag','vel');% plot arrows
1330            end
1331        end
1332    else
1333        if isn(1)
1334            delete(h(2*icolor-1))
1335            delete(h(2*icolor))
1336        else
1337            set(h(2*icolor-1),'Xdata',matx,'Ydata',maty);
1338            set(h(2*icolor-1),'Color',colorlist(icolor,:));
1339%            set(h(2*icolor-1),'EraseMode','xor');
1340            set(h(2*icolor),'Xdata',matxar,'Ydata',matyar);
1341            set(h(2*icolor),'Color',colorlist(icolor,:));
1342            %set(h(2*icolor),'EraseMode','xor');
1343        end
1344    end
1345end
1346if sizh(1) > 2*ncolor
1347    for icolor=ncolor+1 : sizh(1)/2%delete additional objects
1348        delete(h(2*icolor-1))
1349        delete(h(2*icolor))
1350    end
1351end
1352
1353%-------------------------------------------------------------------
1354% ---- determine tick positions for colorbar
1355function YTick=colbartick(MinA,MaxA)
1356%-------------------------------------------------------------------
1357%determine tick positions with "simple" values between MinA and MaxA
1358YTick=0;%default
1359maxabs=max([abs(MinA) abs(MaxA)]);
1360if maxabs>0
1361ord=10^(floor(log10(maxabs)));%order of magnitude
1362div=1;
1363siz2=1;
1364while siz2<2
1365    values=-10:div:10;
1366    ind=find((ord*values-MaxA)<0 & (ord*values-MinA)>0);%indices of 'values' such that MinA<ord*values<MaxA
1367    siz=size(ind);
1368    if siz(2)<4%if there are less than 4 selected values (4 levels)
1369        values=-9:0.5*div:9;
1370        ind=find((ord*values-MaxA)<0 & (ord*values-MinA)>0);
1371    end
1372    siz2=size(ind,2);
1373    div=div/10;
1374end
1375YTick=ord*values(ind);
1376end
1377
1378% -------------------------------------------------------------------------
1379% --- 'proj_grid': project  fields with unstructured coordinantes on a regular grid
1380function [A,rangx,rangy]=proj_grid(vec_X,vec_Y,vec_A,rgx_in,rgy_in,npxy_in)
1381% -------------------------------------------------------------------------
1382if length(vec_Y)<2
1383    msgbox_uvmat('ERROR','less than 2 points in proj_grid.m');
1384    return;
1385end
1386diffy=diff(vec_Y); %difference dy=vec_Y(i+1)-vec_Y(i)
1387index=find(diffy);% find the indices of vec_Y after wich a change of horizontal line occurs(diffy non zero)
1388if isempty(index); msgbox_uvmat('ERROR','points aligned along abscissa in proj_grid.m'); return; end;%points aligned% A FAIRE: switch to line plot.
1389diff2=diff(diffy(index));% diff2 = fluctuations of the detected vertical grid mesh dy
1390if max(abs(diff2))>0.001*abs(diffy(index(1))) % if max(diff2) is larger than 1/1000 of the first mesh dy
1391    % the data are not regularly spaced and must be interpolated  on a regular grid
1392    if exist('rgx_in','var') & ~isempty (rgx_in) & isnumeric(rgx_in) & length(rgx_in)==2%  positions imposed from input
1393        rangx=rgx_in; % first and last positions
1394        rangy=rgy_in;
1395        dxy(1)=1/(npxy_in(1)-1);%grid mesh in y
1396        dxy(2)=1/(npxy_in(2)-1);%grid mesh in x
1397        dxy(1)=(rangy(2)-rangy(1))/(npxy_in(1)-1);%grid mesh in y
1398        dxy(2)=(rangx(2)-rangx(1))/(npxy_in(2)-1);%grid mesh in x
1399    else % interpolation grid automatically determined
1400        rangx(1)=min(vec_X);
1401        rangx(2)=max(vec_X);
1402        rangy(2)=min(vec_Y);
1403        rangy(1)=max(vec_Y);
1404        dxymod=sqrt((rangx(2)-rangx(1))*(rangy(1)-rangy(2))/length(vec_X));
1405        dxy=[-dxymod/4 dxymod/4];% increase the resolution 4 times
1406    end
1407    xi=rangx(1):dxy(2):rangx(2);
1408    yi=rangy(1):dxy(1):rangy(2);
1409    A=griddata(vec_X,vec_Y,vec_A,xi,yi');
1410    A=reshape(A,length(yi),length(xi));
1411else
1412    x=vec_X(1:index(1));% the set of abscissa (obtained on the first line)
1413    indexend=index(end);% last vector index of line change
1414    ymax=vec_Y(indexend+1);% y coordinate AFTER line change
1415    ymin=vec_Y(index(1));
1416    y=vec_Y(index);
1417    y(length(y)+1)=ymax;
1418    nx=length(x);   %number of grid points in x
1419    ny=length(y);   % number of grid points in y
1420    B=(reshape(vec_A,nx,ny))'; %vec_A reshaped as a rectangular matrix
1421    [X,Y]=meshgrid(x,y);% positions X and Y also reshaped as matrix
1422
1423    %linear interpolation to improve the image resolution and/or adjust
1424    %to prescribed positions
1425    test_interp=1;
1426    if exist('rgx_in','var') & ~isempty (rgx_in) & isnumeric(rgx_in) & length(rgx_in)==2%  positions imposed from input
1427        rangx=rgx_in; % first and last positions
1428        rangy=rgy_in;
1429        npxy=npxy_in;
1430    else       
1431        rangx=[vec_X(1) vec_X(nx)];% first and last position found for x
1432          rangy=[max(ymax,ymin) min(ymax,ymin)];
1433        if max(nx,ny) <= 64 & isequal(npxy_in,'np>256')
1434            npxy=[8*ny 8*nx];% increase the resolution 8 times
1435        elseif max(nx,ny) <= 128 & isequal(npxy_in,'np>256')
1436            npxy=[4*ny 4*nx];% increase the resolution 4 times
1437        elseif max(nx,ny) <= 256 & isequal(npxy_in,'np>256')
1438            npxy=[2*ny 2*nx];% increase the resolution 2 times
1439        else
1440            npxy=[ny nx];
1441            test_interp=0; % no interpolation done
1442        end
1443    end
1444    if test_interp==1%if we interpolate
1445        xi=[rangx(1):(rangx(2)-rangx(1))/(npxy(2)-1):rangx(2)];
1446        yi=[rangy(1):(rangy(2)-rangy(1))/(npxy(1)-1):rangy(2)];
1447        [XI,YI]=meshgrid(xi,yi);
1448        A = interp2(X,Y,B,XI,YI);
1449    else %no interpolation for a resolution higher than 256
1450        A=B;
1451    end
1452end
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