source: trunk/src/plot_field.m @ 686

Last change on this file since 686 was 674, checked in by sommeria, 11 years ago

various bugs repaired, in particula timing

File size: 56.9 KB
Line 
1%'plot_field': plot any field with the structure defined in the uvmat package
2%------------------------------------------------------------------------
3%
4%  This function is used by uvmat to plot fields. It automatically chooses the representation
5% appropriate to the input field structure:
6%     2D vector fields are represented by arrows, 2D scalar fields by grey scale images or contour plots, 1D fields are represented by usual plot with (abscissa, ordinate).
7%  The input field structure is first tested by check_field_structure.m,
8%  then split into blocks of related variables  by find_field_cells.m.
9%  The dimensionality of each block is obtained  by this function
10%  considering the presence of variables with the attribute .Role='coord_x'
11%  and/or coord_y and/or coord_z (case of unstructured coordinates), or
12%  dimension variables (case of matrices).
13%
14% function [PlotType,PlotParamOut,haxes]= plot_field(Data,haxes,PlotParam,PosColorbar)
15%
16% OUPUT:
17% PlotType: type of plot: 'text','line'(curve plot),'plane':2D view,'volume'
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%     .Coordinates: coordinate parameters:
48%           .CheckFixLimits:=0 (default) adjust axes limit to the X,Y data, =1: preserves the previous axes limits
49%     .Coordinates.CheckFixAspectRatio: =0 (default):automatic adjustment of the graph, keep 1 to 1 aspect ratio for x and y scales.
50%     .Coordinates.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 Joel Sommeria, 2008, LEGI / CNRS-UJF-INPG, sommeria@coriolis-legi.org.
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,PosColorbar)
100
101%% default input and output
102if ~exist('PlotParam','var'),PlotParam=[];end;
103PlotType='text'; %default
104if ~isfield(PlotParam,'Coordinates')
105    PlotParam.Coordinates=[];
106    if isfield(Data,'CoordUnit')
107        PlotParam.Coordinates.CheckFixAspectRatio=1;
108        PlotParam.Coordinates.AspectRatio=1; %set axes equal by default if CoordUnit is defined
109    end
110end
111PlotParamOut=PlotParam;%default
112
113%% check input structure
114index_2D=[];
115index_1D=[];
116index_0D=[];
117% check the cells of fields :
118[CellInfo,NbDimArray,errormsg]=find_field_cells(Data);
119%[CellVarIndex,NbDim,CoordType,VarRole,errormsg]=find_field_cells(Data);
120if ~isempty(errormsg)
121    msgbox_uvmat('ERROR',['input of plot_field/find_field_cells: ' errormsg]);
122    return
123end
124
125index_3D=find(NbDimArray>2,1);
126if ~isempty(index_3D)
127    msgbox_uvmat('ERROR','volume plot not implemented yet');
128    return
129end
130index_2D=find(NbDimArray==2);%find 2D fields
131index_1D=find(NbDimArray==1);
132index_0D=find(NbDimArray==0);
133
134%% test axes and figure
135testnewfig=1;%test to create a new figure (default)
136testzoomaxes=0;%test for the existence of a zoom secondary figure attached to the plotting axes
137if exist('haxes','var')
138    if ishandle(haxes)
139        if isequal(get(haxes,'Type'),'axes')
140            testnewfig=0;
141            AxeData=get(haxes,'UserData');
142            if isfield(AxeData,'ZoomAxes')&& ishandle(AxeData.ZoomAxes)
143                if isequal(get(AxeData.ZoomAxes,'Type'),'axes')
144                    testzoomaxes=1;
145                    zoomaxes=AxeData.ZoomAxes;
146                end
147            end
148        end
149    end
150end
151
152%% create a new figure and axes if the plotting axes does not exist
153if testnewfig
154    hfig=figure;
155    set(hfig,'Units','normalized')
156    haxes=axes;
157    set(haxes,'position',[0.13,0.2,0.775,0.73])
158    PlotParamOut.NextPlot='add'; %parameter for plot_profile
159else
160    hfig=get(haxes,'parent');
161    set(0,'CurrentFigure',hfig)% the parent of haxes becomes the current figure
162    set(hfig,'CurrentAxes',haxes)%  haxes becomes the current axes of the parent figure
163end
164
165%% set axes properties
166if isfield(PlotParamOut.Coordinates,'CheckFixLimits') && isequal(PlotParamOut.Coordinates.CheckFixLimits,1)  %adjust the graph limits
167    set(haxes,'XLimMode', 'manual')
168    set(haxes,'YLimMode', 'manual')
169else
170    set(haxes,'XLimMode', 'auto')
171    set(haxes,'YLimMode', 'auto')
172end
173% if ~isfield(PlotParam.Coordinates,'CheckFixAspectRatio')&& isfield(Data,'CoordUnit')
174%     PlotParam.Coordinates.CheckFixAspectRatio=1;% if CoordUnit is defined, the two coordiantes should be plotted with equal scale by default
175% end
176errormsg='';
177%PlotParamOut.Coordinates=[]; %default output
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,PosColorbar);
186    AxeData.NbDim=2;
187    if testzoomaxes && isempty(errormsg)
188        [zoomaxes,PlotParamOut,tild,errormsg]=plot_plane(Data,CellInfo(index_2D),zoomaxes,PlotParamOut,PosColorbar);
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.Coordinates=plot_profile(Data,CellInfo(index_1D),haxes,PlotParamOut.Coordinates,CheckHold);%
204    if testzoomaxes
205        [zoomaxes,PlotParamOut.Coordinates]=plot_profile(Data,CellInfo(index_1D),zoomaxes,PlotParamOut.Coordinates,CheckHold);
206        AxeData.ZoomAxes=zoomaxes;
207    end
208    PlotType='line';
209end
210
211%% text display
212if isempty(index_2D) && isempty(index_1D)%text display alone
213    htext=findobj(hfig,'Tag','TableDisplay');
214else  %text display added to plot
215    htext=findobj(hfig,'Tag','text_display');
216end
217if ~isempty(htext)
218    if isempty(index_0D)
219        if strcmp(get(htext,'Type'),'uitable')
220            set(htext,'Data',{})
221        else
222            set(htext,'String',{''})
223        end
224    else
225        [errormsg]=plot_text(Data,CellInfo(index_0D),htext);
226    end
227end
228
229%% display error message
230if ~isempty(errormsg)
231    msgbox_uvmat('ERROR', errormsg)
232end
233
234%% update the parameters stored in AxeData
235if ishandle(haxes)&&( ~isempty(index_2D)|| ~isempty(index_1D))
236%     AxeData=[];
237    if isfield(PlotParamOut,'MinX')
238        AxeData.RangeX=[PlotParamOut.MinX PlotParamOut.MaxX];
239        AxeData.RangeY=[PlotParamOut.MinY PlotParamOut.MaxY];
240    end
241    set(haxes,'UserData',AxeData)
242end
243
244%% update the plotted field stored in parent figure
245if ~isempty(index_2D)|| ~isempty(index_1D)
246    FigData=get(hfig,'UserData');
247    if strcmp(get(hfig,'tag'),'view_field')||strcmp(get(hfig,'tag'),'uvmat')
248        FigData.(get(haxes,'tag'))=Data;
249        set(hfig,'UserData',FigData)
250    end
251end
252
253%-------------------------------------------------------------------
254function errormsg=plot_text(FieldData,CellInfo,htext)
255%-------------------------------------------------------------------
256errormsg='';
257txt_cell={};
258Data={};
259for icell=1:length(CellInfo)
260   
261    % select types of  variables to be projected
262    ListProj={'VarIndex_scalar','VarIndex_image','VarIndex_color','VarIndex_vector_x','VarIndex_vector_y'};
263    check_proj=false(size(FieldData.ListVarName));
264    for ilist=1:numel(ListProj)
265        if isfield(CellInfo{icell},ListProj{ilist})
266            check_proj(CellInfo{icell}.(ListProj{ilist}))=1;
267        end
268    end
269    VarIndex=find(check_proj);
270    %
271    %     VarIndex=CellInfo{icell}.VarIndex;%  indices of the selected variables in the list data.ListVarName
272    %     for ivar=1:length(VarIndex)
273    %         checkancillary=0;
274    %         if length(FieldData.VarAttribute)>=VarIndex(ivar)
275    %             VarAttribute=FieldData.VarAttribute{VarIndex(ivar)};
276    %             if isfield(VarAttribute,'Role')&&(strcmp(VarAttribute.Role,'ancillary')||strcmp(VarAttribute.Role,'coord_tps')...
277    %                     ||strcmp(VarAttribute.Role,'vector_x_tps')||strcmp(VarAttribute.Role,'vector_y_tps'))
278    %                 checkancillary=1;
279    %             end
280    %         end
281    %         if ~checkancillary% does not display variables with attribute '.Role=ancillary'
282    for ivar=1:length(VarIndex)
283    VarName=FieldData.ListVarName{VarIndex(ivar)};
284    VarValue=FieldData.(VarName);
285    if isvector(VarValue')
286        VarValue=VarValue';% put the different values on a line
287    end
288    if numel(VarValue)>1 && numel(VarValue)<10
289        for ind=1:numel(VarValue)
290            VarNameCell{1,ind}=[VarName '_' num2str(ilist)];
291        end
292    else
293        VarNameCell={VarName};
294    end
295    if numel(VarValue)<10
296        if isempty(VarValue)
297            VarValueCell={'[]'};
298        else
299            VarValueCell=num2cell(VarValue);
300        end
301        if isempty(Data)
302            Data =[VarNameCell; VarValueCell];
303        else
304            Data =[Data [VarNameCell; VarValueCell]];
305        end
306    else
307        if isempty(Data)
308            Data =[VarNameCell; num2cell(VarValue)];
309        else
310        Data =[Data [VarNameCell; {['size ' num2str(size(VarValue))]}]];
311        end
312    end
313    if size(VarValue,1)==1
314        txt=[VarName '=' num2str(VarValue)];
315        txt_cell=[txt_cell;{txt}];
316    end
317    end
318end
319if strcmp(get(htext,'Type'),'uitable')
320    get(htext,'ColumnName')
321    set(htext,'ColumnName',Data(1,:))
322    set(htext,'Data',Data(2:end,:))
323else
324    set(htext,'String',txt_cell)
325    set(htext,'UserData',txt_cell)% for storage during mouse display
326end
327
328
329%-------------------------------------------------------------------
330function CoordinatesOut=plot_profile(data,CellInfo,haxes,Coordinates,CheckHold)
331%-------------------------------------------------------------------
332
333%% initialization
334if ~exist('Coordinates','var')
335    Coordinates=[];
336end
337CoordinatesOut=Coordinates; %default
338hfig=get(haxes,'parent');
339legend_str={};
340
341%% suppress existing plot if empty data
342if isempty(data)
343    hplot=findobj(haxes,'tag','plot_line');
344    if ~isempty(hplot)
345        delete(hplot)
346    end
347    hlegend=findobj(hfig,'tag','legend');
348    if ~isempty(hlegend)
349        delete(hlegend)
350    end
351    return
352end
353
354%% set the colors of the successive plots (designed to produce rgb for the three components of color images)
355ColorOrder=[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];
356set(hfig,'DefaultAxesColorOrder',ColorOrder)
357% if isfield(Coordinates,'NextPlot')
358%     set(haxes,'NextPlot',Coordinates.NextPlot)
359% end
360if CheckHold
361     set(haxes,'NextPlot','add')
362else
363    set(haxes,'NextPlot','replace')
364end
365
366%% prepare the string for plot command
367plotstr='hhh=plot(';
368% coord_x_index=[];
369xtitle='';
370ytitle='';
371test_newplot=~CheckHold;
372MinX=[];
373MaxX=[];
374MinY_cell=[];
375MaxY_cell=[];
376%loop on input  fields
377for icell=1:numel(CellInfo)
378    VarIndex=CellInfo{icell}.VarIndex;%  indices of the selected variables in the list data.ListVarName
379    coord_x_index=CellInfo{icell}.CoordIndex;
380    testplot=ones(size(data.ListVarName));%default test for plotted variables
381    coord_x_name{icell}=data.ListVarName{coord_x_index};
382    coord_x{icell}=data.(data.ListVarName{coord_x_index});%coordinate variable set as coord_x
383    if isempty(find(strcmp(coord_x_name{icell},coord_x_name(1:end-1)), 1)) %xtitle not already selected
384        xtitle=[xtitle coord_x_name{icell}];
385        if isfield(data,'VarAttribute')&& numel(data.VarAttribute)>=coord_x_index && isfield(data.VarAttribute{coord_x_index},'units')
386            xtitle=[xtitle '(' data.VarAttribute{coord_x_index}.units '), '];
387        else
388            xtitle=[xtitle ', '];
389        end
390    end
391    MinX(icell)=min(coord_x{icell});
392    MaxX(icell)=max(coord_x{icell});
393    testplot(coord_x_index)=0;
394    if isfield(CellInfo{icell},'VarIndex_ancillary')
395        testplot(CellInfo{icell}.VarIndex_ancillary)=0;
396    end
397    if isfield(CellInfo{icell},'VarIndex_warnflag')
398        testplot(CellInfo{icell}.VarIndex_warnflag)=0;
399    end
400    if isfield(data,'VarAttribute')
401        VarAttribute=data.VarAttribute;
402        for ivar=1:length(VarIndex)
403            if length(VarAttribute)>=VarIndex(ivar) && isfield(VarAttribute{VarIndex(ivar)},'long_name')
404                plotname{VarIndex(ivar)}=VarAttribute{VarIndex(ivar)}.long_name;
405            else
406                plotname{VarIndex(ivar)}=data.ListVarName{VarIndex(ivar)};%name for display in plot A METTRE
407            end
408        end
409    end
410    if isfield(CellInfo{icell},'VarIndex_discrete')
411        charplot_0='''+''';
412    else
413        charplot_0='''-''';
414    end
415    MinY=[];
416    MaxY=[];%default
417   
418    nbplot=0;
419    for ivar=1:length(VarIndex)
420        if testplot(VarIndex(ivar))
421            VarName=data.ListVarName{VarIndex(ivar)};
422            nbplot=nbplot+1;
423            ytitle=[ytitle VarName];
424            if isfield(data,'VarAttribute')&& numel(data.VarAttribute)>=VarIndex(ivar) && isfield(data.VarAttribute{VarIndex(ivar)},'units')
425                ytitle=[ytitle '(' data.VarAttribute{VarIndex(ivar)}.units '), '];
426            else
427                ytitle=[ytitle ', '];
428            end
429            eval(['data.' VarName '=squeeze(data.' VarName ');'])
430            MinY(ivar)=min(min(data.(VarName)));
431            MaxY(ivar)=max(max(data.(VarName)));
432            plotstr=[plotstr 'coord_x{' num2str(icell) '},data.' VarName ',' charplot_0 ','];
433            eval(['nbcomponent2=size(data.' VarName ',2);']);
434            eval(['nbcomponent1=size(data.' VarName ',1);']);
435            if numel(coord_x{icell})==2
436                coord_x{icell}=linspace(coord_x{icell}(1),coord_x{icell}(2),nbcomponent1);
437            end
438            if nbcomponent1==1|| nbcomponent2==1
439                legend_str=[legend_str {VarName}]; %variable with one component
440            else  %variable with severals  components
441                for ic=1:min(nbcomponent1,nbcomponent2)
442                    legend_str=[legend_str [VarName '_' num2str(ic)]]; %variable with severals  components
443                end                                                   % labeled by their index (e.g. color component)
444            end
445        end
446    end
447    if ~isempty(MinY)
448    MinY_cell(icell)=min(MinY);
449    MaxY_cell(icell)=max(MaxY);
450    end
451end
452
453%% activate the plot
454if  ~isequal(plotstr,'hhh=plot(') 
455    set(hfig,'CurrentAxes',haxes)
456    tag=get(haxes,'tag');   
457    %%%
458    plotstr=[plotstr '''tag'',''plot_line'');'];   
459    eval(plotstr)                  %execute plot (instruction  plotstr)
460    %%%
461    set(haxes,'tag',tag)% restitute the axes tag (removed by the command plot)
462    set(haxes,'ColorOrder',ColorOrder)% restitute the plot color order (to get red green blue for histograms or cuts of color images)
463    grid(haxes, 'on')
464    hxlabel=xlabel(xtitle(1:end-2));% xlabel (removes ', ' at the end)
465    set(hxlabel,'Interpreter','none')% desable tex interpreter
466    if length(legend_str)>=1
467        hylabel=ylabel(ytitle(1:end-2));% ylabel (removes ', ' at the end)
468        set(hylabel,'Interpreter','none')% desable tex interpreter
469    end
470    if ~isempty(legend_str)
471        hlegend=findobj(hfig,'Tag','legend');
472        if isempty(hlegend)
473            hlegend=legend(legend_str);
474            txt=ver('MATLAB');
475            Release=txt.Release;
476            relnumb=str2double(Release(3:4));% should be changed to Version for better compatibility
477            if relnumb >= 14
478                set(hlegend,'Interpreter','none')% desable tex interpreter
479            end
480        else
481            legend_old=get(hlegend,'String');
482            if isequal(size(legend_old,1),size(legend_str,1))&&~isequal(legend_old,legend_str)
483                set(hlegend,'String',[legend_old legend_str]);
484            end
485        end
486    end
487    title_str='';
488    if isfield(data,'filename')
489       [Path, title_str, ext]=fileparts(data.filename);
490       title_str=[title_str ext];
491    end
492    if isfield(data,'Action')&&isfield(data.Action,'ActionName')
493        if ~isequal(title_str,'')
494            title_str=[title_str ', '];
495        end
496        title_str=[title_str data.Action.ActionName];
497    end
498    htitle=title(title_str);
499    set(htitle,'Interpreter','none')% desable tex interpreter
500end
501
502%% determine axes bounds
503fix_lim=isfield(Coordinates,'CheckFixLimits') && Coordinates.CheckFixLimits;
504check_lim=isfield(Coordinates,'MinX')&&isfield(Coordinates,'MaxX')&&isfield(Coordinates,'MinY')&&isfield(Coordinates,'MaxY');
505if fix_lim
506    if ~check_lim
507        fix_lim=0; %free limits if limits are not set,
508    end
509end
510if fix_lim
511    set(haxes,'XLim',[Coordinates.MinX Coordinates.MaxX])
512    set(haxes,'YLim',[Coordinates.MinY Coordinates.MaxY])
513else
514    if ~isempty(MinX)
515        if check_lim
516            CoordinatesOut.MinX=min(min(MinX),CoordinatesOut.MinX);
517            CoordinatesOut.MaxX=max(max(MaxX),CoordinatesOut.MaxX);
518        else
519            CoordinatesOut.MinX=min(MinX);
520            CoordinatesOut.MaxX=max(MaxX);
521        end
522    end
523    if ~isempty(MinY_cell)
524        if check_lim
525            CoordinatesOut.MinY=min(min(MinY_cell),CoordinatesOut.MinY);
526            CoordinatesOut.MaxY=max(max(MaxY_cell),CoordinatesOut.MaxY);
527        else
528            CoordinatesOut.MinY=min(MinY_cell);
529            CoordinatesOut.MaxY=max(MaxY_cell);
530        end
531    end
532end
533
534%% determine plot aspect ratio
535if isfield(Coordinates,'CheckFixAspectRatio') && isequal(Coordinates.CheckFixAspectRatio,1)&&isfield(Coordinates,'AspectRatio')
536    set(haxes,'DataAspectRatioMode','manual')
537    set(haxes,'DataAspectRatio',[Coordinates.AspectRatio 1 1])
538else
539    set(haxes,'DataAspectRatioMode','auto')%automatic aspect ratio
540    AspectRatio=get(haxes,'DataAspectRatio');
541    CoordinatesOut.AspectRatio=AspectRatio(1)/AspectRatio(2);
542end
543
544%-------------------------------------------------------------------
545function [haxes,PlotParamOut,PlotType,errormsg]=plot_plane(Data,CellInfo,haxes,PlotParam,PosColorbar)
546%-------------------------------------------------------------------
547PlotType='plane';
548grid(haxes, 'off')% remove grid (possibly remaining from other graphs)
549
550%default plotting parameters
551if ~isfield(PlotParam,'Scalar')
552    PlotParam.Scalar=[];
553end
554if ~isfield(PlotParam,'Vectors')
555    PlotParam.Vectors=[];
556end
557PlotParamOut=PlotParam;%default
558errormsg='';%default
559
560hfig=get(haxes,'parent');%handle of the figure containing the plot axes
561hcol=findobj(hfig,'Tag','Colorbar'); %look for colorbar axes
562hima=findobj(haxes,'Tag','ima');% search existing image in the current axes
563test_ima=0; %default: test for image or map plot
564test_vec=0; %default: test for vector plots
565test_black=0;
566test_false=0;
567test_C=0;
568XName='';
569x_units='';
570YName='';
571y_units='';
572
573% loop on the input field cells
574for icell=1:numel(CellInfo)
575    if strcmp(CellInfo{icell}.CoordType,'tps') %do not plot directly tps data (used for projection only)
576        continue
577    end
578    ivar_X=CellInfo{icell}.CoordIndex(end); % defines (unique) index for the variable representing unstructured x coordinate (default =[])
579    ivar_Y=CellInfo{icell}.CoordIndex(end-1); % defines (unique)index for the variable representing unstructured y coordinate (default =[])
580    ivar_C=[];
581    if isfield(CellInfo{icell},'VarIndex_scalar')
582        ivar_C=[ivar_C CellInfo{icell}.VarIndex_scalar];
583    end
584    if isfield(CellInfo{icell},'VarIndex_image')
585        ivar_C=[ivar_C CellInfo{icell}.VarIndex_image];
586    end
587    if isfield(CellInfo{icell},'VarIndex_color')
588        ivar_C=[ivar_C CellInfo{icell}.VarIndex_color];
589    end
590    if isfield(CellInfo{icell},'VarIndex_ancillary')
591        ivar_C=[ivar_C CellInfo{icell}.VarIndex_ancillary];
592    end
593    if numel(ivar_C)>1
594        errormsg= 'error in plot_field: too many scalar inputs';
595        return
596    end
597    ivar_F=[];
598    if isfield(CellInfo{icell},'VarIndex_warnflag')
599        ivar_F=CellInfo{icell}.VarIndex_warnflag; %defines index (unique) for warning flag variable
600    end
601    ivar_FF_vec=[];
602    if isfield(CellInfo{icell},'VarIndex_vector_x')&&isfield(CellInfo{icell},'VarIndex_vector_y') % vector components detected
603        if test_vec% a vector field has been already detected
604            errormsg='error in plot_field: attempt to plot two vector fields: to get the difference project on a plane with mode interp';
605            return
606        else
607            test_vec=1;
608            if isfield(CellInfo{icell},'VarIndex_errorflag')
609                ivar_FF_vec=CellInfo{icell}.VarIndex_errorflag; %defines index (unique) for error flag variable
610            end
611            vec_U=Data.(Data.ListVarName{CellInfo{icell}.VarIndex_vector_x});
612            vec_V=Data.(Data.ListVarName{CellInfo{icell}.VarIndex_vector_y});
613            if strcmp(CellInfo{icell}.CoordType,'scattered')%2D field with unstructured coordinates
614                XName=Data.ListVarName{CellInfo{icell}.CoordIndex(end)};
615                YName=Data.ListVarName{CellInfo{icell}.CoordIndex(end-1)};
616                vec_X=reshape(Data.(XName),[],1); %transform vectors in column matlab vectors
617                vec_Y=reshape(Data.(YName),[],1);
618            elseif strcmp(CellInfo{icell}.CoordType,'grid')%2D field with structured coordinates
619                y=Data.(Data.ListVarName{CellInfo{icell}.CoordIndex(end-1)});
620                x=Data.(Data.ListVarName{CellInfo{icell}.CoordIndex(end)});
621                if numel(y)==2 % y defined by first and last values on aregular mesh
622                    y=linspace(y(1),y(2),size(vec_U,1));
623                end
624                if numel(x)==2 % y defined by first and last values on aregular mesh
625                    x=linspace(x(1),x(2),size(vec_U,2));
626                end
627                [vec_X,vec_Y]=meshgrid(x,y);
628            end
629            if isfield(PlotParam.Vectors,'ColorScalar') && ~isempty(PlotParam.Vectors.ColorScalar)
630                [VarVal,ListVarName,VarAttribute,errormsg]=calc_field_interp([],Data,PlotParam.Vectors.ColorScalar);
631                if ~isempty(VarVal)
632                    vec_C=reshape(VarVal{1},1,numel(VarVal{1}));
633                    test_C=1;
634                end
635            end
636            if ~isempty(ivar_F)%~(isfield(PlotParam.Vectors,'HideWarning')&& isequal(PlotParam.Vectors.HideWarning,1))
637%                 if test_vec
638                    vec_F=Data.(Data.ListVarName{ivar_F}); % warning flags for  dubious vectors
639                    if  ~(isfield(PlotParam.Vectors,'CheckHideWarning') && isequal(PlotParam.Vectors.CheckHideWarning,1))
640                        test_black=1;
641                    end
642%                 end
643            end
644            if ~isempty(ivar_FF_vec) %&& ~test_false
645%                 if test_vec% TODO: deal with FF for structured coordinates
646                    vec_FF=Data.(Data.ListVarName{ivar_FF_vec}); % flags for false vectors
647%                 end
648            end
649        end
650    elseif ~isempty(ivar_C) %scalar or image
651        if test_ima
652            errormsg='attempt to plot two scalar fields or images';
653            return
654        end
655        A=squeeze(Data.(Data.ListVarName{ivar_C}));% scalar represented as color image
656        test_ima=1;
657        if strcmp(CellInfo{icell}.CoordType,'scattered')%2D field with unstructured coordinates
658            A=reshape(A,1,[]);
659            XName=Data.ListVarName{ivar_X};
660            YName=Data.ListVarName{ivar_Y};
661            eval(['AX=reshape(Data.' XName ',1,[]);'])
662            eval(['AY=reshape(Data.' YName ',1,[]);'])
663            [A,AX,AY]=proj_grid(AX',AY',A',[],[],'np>256');  % interpolate on a grid
664            if isfield(Data,'VarAttribute')
665                if numel(Data.VarAttribute)>=ivar_X && isfield(Data.VarAttribute{ivar_X},'units')
666                    x_units=[' (' Data.VarAttribute{ivar_X}.units ')'];
667                end
668                if numel(Data.VarAttribute)>=ivar_Y && isfield(Data.VarAttribute{ivar_Y},'units')
669                    y_units=[' (' Data.VarAttribute{ivar_Y}.units ')'];
670                end
671            end
672        elseif strcmp(CellInfo{icell}.CoordType,'grid')%2D field with structured coordinates
673            YName=Data.ListVarName{CellInfo{icell}.CoordIndex(end-1)};
674            AY=Data.(YName);
675            AX=Data.(Data.ListVarName{CellInfo{icell}.CoordIndex(end)});
676            test_interp_X=0; %default, regularly meshed X coordinate
677            test_interp_Y=0; %default, regularly meshed Y coordinate
678            if isfield(Data,'VarAttribute')
679                if numel(Data.VarAttribute)>=CellInfo{icell}.CoordIndex(end) && isfield(Data.VarAttribute{CellInfo{icell}.CoordIndex(end)},'units')
680                    x_units=Data.VarAttribute{CellInfo{icell}.CoordIndex(end)}.units;
681                end
682                if numel(Data.VarAttribute)>=CellInfo{icell}.CoordIndex(end-1) && isfield(Data.VarAttribute{CellInfo{icell}.CoordIndex(end-1)},'units')
683                    y_units=Data.VarAttribute{CellInfo{icell}.CoordIndex(end-1)}.units;
684                end
685            end
686            if numel(AY)>2
687                DAY=diff(AY);
688                DAY_min=min(DAY);
689                DAY_max=max(DAY);
690                if sign(DAY_min)~=sign(DAY_max);% =1 for increasing values, 0 otherwise
691                    errormsg=['errror in plot_field.m: non monotonic dimension variable ' Data.ListVarName{VarRole.coord(1)} ];
692                    return
693                end
694                test_interp_Y=(DAY_max-DAY_min)> 0.0001*abs(DAY_max);
695            end
696            if numel(AX)>2
697                DAX=diff(AX);
698                DAX_min=min(DAX);
699                DAX_max=max(DAX);
700                if sign(DAX_min)~=sign(DAX_max);% =1 for increasing values, 0 otherwise
701                    errormsg=['errror in plot_field.m: non monotonic dimension variable ' Data.ListVarName{VarRole.coord(2)} ];
702                    return
703                end
704                test_interp_X=(DAX_max-DAX_min)> 0.0001*abs(DAX_max);
705            end
706            if test_interp_Y
707                npxy(1)=max([256 floor((AY(end)-AY(1))/DAY_min) floor((AY(end)-AY(1))/DAY_max)]);
708                yI=linspace(AY(1),AY(end),npxy(1));
709                if ~test_interp_X
710                    xI=linspace(AX(1),AX(end),size(A,2));%default
711                    AX=xI;
712                end
713            end
714            if test_interp_X
715                npxy(2)=max([256 floor((AX(end)-AX(1))/DAX_min) floor((AX(end)-AX(1))/DAX_max)]);
716                xI=linspace(AX(1),AX(end),npxy(2));
717                if ~test_interp_Y
718                    yI=linspace(AY(1),AY(end),size(A,1));
719                    AY=yI;
720                end
721            end
722            if test_interp_X || test_interp_Y
723                [AX2D,AY2D]=meshgrid(AX,AY);
724                A=interp2(AX2D,AY2D,double(A),xI,yI');
725            end
726            AX=[AX(1) AX(end)];% keep only the lower and upper bounds for image represnetation
727            AY=[AY(1) AY(end)];
728        end
729    end
730    %define coordinates as CoordUnits, if not defined as attribute for each variable
731    if isfield(Data,'CoordUnit')
732        if isempty(x_units)
733            x_units=Data.CoordUnit;
734        end
735        if isempty(y_units)
736            y_units=Data.CoordUnit;
737        end
738    end   
739end
740
741%%   image or scalar plot %%%%%%%%%%%%%%%%%%%%%%%%%%
742
743if isfield(PlotParam.Scalar,'ListContour')
744    CheckContour=strcmp(PlotParam.Scalar.ListContour,'contours');
745else
746    CheckContour=0; %default
747end
748PlotParamOut=PlotParam; %default
749if test_ima
750    % distinguish B/W and color images
751    np=size(A);%size of image
752    siz=numel(np);
753    if siz>3
754        errormsg=['unrecognized scalar type: ' num2str(siz) ' dimensions'];
755        return
756    end
757    if siz==3
758        if np(3)==1
759            siz=2;%B W image
760        elseif np(3)==3
761            siz=3;%color image
762        else
763            errormsg=['unrecognized scalar type in plot_field: considered as 2D field with ' num2str(np(3)) ' color components'];
764            return
765        end
766    end
767   
768    %set the color map
769    if isfield(PlotParam.Scalar,'CheckBW') && ~isempty(PlotParam.Scalar.CheckBW)
770        BW=PlotParam.Scalar.CheckBW; %BW=0 color imposed, else gray scale imposed.
771    else % BW imposed automatically chosen
772        BW=(siz==2) && (isa(A,'uint8')|| isa(A,'uint16'));% non color images represented in gray scale by default
773        PlotParamOut.Scalar.CheckBW=BW;
774    end
775    %case of grey level images or contour plot
776    if siz==2
777        if ~isfield(PlotParam.Scalar,'CheckFixScalar')
778            PlotParam.Scalar.CheckFixScalar=0;%default
779        end
780        if ~isfield(PlotParam.Scalar,'MinA')
781            PlotParam.Scalar.MinA=[];%default
782        end
783        if ~isfield(PlotParam.Scalar,'MaxA')
784            PlotParam.Scalar.MaxA=[];%default
785        end
786        Aline=[];
787        if ~PlotParam.Scalar.CheckFixScalar ||isempty(PlotParam.Scalar.MinA)||~isa(PlotParam.Scalar.MinA,'double')  %correct if there is no numerical data in edit box
788            Aline=reshape(A,1,[]);
789            Aline=Aline(~isnan(A));
790            if isempty(Aline)
791                errormsg='NaN input scalar or image in plot_field';
792                return
793            end
794            MinA=double(min(Aline));
795        else
796            MinA=PlotParam.Scalar.MinA;
797        end;
798        if ~PlotParam.Scalar.CheckFixScalar||isempty(PlotParam.Scalar.MaxA)||~isa(PlotParam.Scalar.MaxA,'double') %correct if there is no numerical data in edit box
799            if isempty(Aline)
800                Aline=reshape(A,1,[]);
801                Aline=Aline(~isnan(A));
802                if isempty(Aline)
803                    errormsg='NaN input scalar or image in plot_field';
804                    return
805                end
806            end
807            MaxA=double(max(Aline));
808        else
809            MaxA=PlotParam.Scalar.MaxA;
810        end;
811        PlotParamOut.Scalar.MinA=MinA;
812        PlotParamOut.Scalar.MaxA=MaxA;
813        PlotParamOut.Scalar.Npx=size(A,2);
814        PlotParamOut.Scalar.Npy=size(A,1);
815        % case of contour plot
816        if CheckContour
817            if ~isempty(hima) && ishandle(hima)
818                delete(hima)
819            end
820            if ~isfield(PlotParam.Scalar,'IncrA')
821                PlotParam.Scalar.IncrA=NaN;
822            end
823            if isempty(PlotParam.Scalar.IncrA)|| isnan(PlotParam.Scalar.IncrA)% | PlotParam.Scalar.AutoScal==0
824                cont=colbartick(MinA,MaxA);
825                intercont=cont(2)-cont(1);%default
826                PlotParamOut.Scalar.IncrA=intercont;
827            else
828                intercont=PlotParam.Scalar.IncrA;
829            end
830            B=A;
831            abscontmin=intercont*floor(MinA/intercont);
832            abscontmax=intercont*ceil(MaxA/intercont);
833            contmin=intercont*floor(min(min(B))/intercont);
834            contmax=intercont*ceil(max(max(B))/intercont);
835            cont_pos_plus=0:intercont:contmax;
836            cont_pos_min=double(contmin):intercont:-intercont;
837            cont_pos=[cont_pos_min cont_pos_plus];
838            sizpx=(AX(end)-AX(1))/(np(2)-1);
839            sizpy=(AY(1)-AY(end))/(np(1)-1);
840            x_cont=AX(1):sizpx:AX(end); % pixel x coordinates for image display
841            y_cont=AY(1):-sizpy:AY(end); % pixel x coordinates for image display
842            % axes(haxes)% set the input axes handle as current axis
843            txt=ver('MATLAB');
844            Release=txt.Release;
845            relnumb=str2double(Release(3:4));
846            if relnumb >= 14
847                vec=linspace(0,1,(abscontmax-abscontmin)/intercont);%define a greyscale colormap with steps intercont
848                map=[vec' vec' vec'];
849                colormap(map);
850                [var,hcontour]=contour(x_cont,y_cont,B,cont_pos);
851                set(hcontour,'Fill','on')
852                set(hcontour,'LineStyle','none')
853                hold on
854            end
855            [var_p,hcontour_p]=contour(x_cont,y_cont,B,cont_pos_plus,'k-');
856            hold on
857            [var_m,hcontour_m]=contour(x_cont,y_cont,B,cont_pos_min,':');
858            set(hcontour_m,'LineColor',[1 1 1])
859            hold off
860            caxis([abscontmin abscontmax])
861            colormap(map);
862            if isfield(PlotParam.Coordinates,'CheckFixAspectRatio') && isequal(PlotParam.Coordinates.CheckFixAspectRatio,1)
863                set(haxes,'DataAspectRatioMode','manual')
864                if isfield(PlotParam.Coordinates,'AspectRatio')
865                    set(haxes,'DataAspectRatio',[PlotParam.Coordinates.AspectRatio 1 1])
866                else
867                    set(haxes,'DataAspectRatio',[1 1 1])
868                end
869            end
870        end
871       
872        % set  colormap for  image display
873        if ~CheckContour
874            % rescale the grey levels with min and max, put a grey scale colorbar
875            B=A;
876            if BW
877                vec=linspace(0,1,255);%define a linear greyscale colormap
878                map=[vec' vec' vec'];
879                colormap(map);  %grey scale color map
880            else
881                colormap('default'); % standard faulse colors for div, vort , scalar fields
882            end
883        end
884       
885        % case of color images
886    else
887        if BW
888            B=uint16(sum(A,3));
889        else
890            B=uint8(A);
891        end
892        MinA=0;
893        MaxA=255;
894    end
895   
896    % display usual image
897    if ~CheckContour
898        % interpolate field to increase resolution of image display
899        test_interp=0;
900        if size(B,3)==1 % scalar of B/W image
901            test_interp=1;
902            if max(np) <= 64
903                npxy=8*np;% increase the resolution 8 times
904            elseif max(np) <= 128
905                npxy=4*np;% increase the resolution 4 times
906            elseif max(np) <= 256
907                npxy=2*np;% increase the resolution 2 times
908            else
909                npxy=np;
910                test_interp=0; % no interpolation done
911            end
912        end
913        if test_interp%if we interpolate
914            x=linspace(AX(1),AX(2),np(2));
915            y=linspace(AY(1),AY(2),np(1));
916            [X,Y]=meshgrid(x,y);
917            xi=linspace(AX(1),AX(2),npxy(2));
918            yi=linspace(AY(1),AY(2),npxy(1));
919            B = interp2(X,Y,double(B),xi,yi');
920        end
921        % create new image if there  no image handle is found
922        if isempty(hima)
923            tag=get(haxes,'Tag');
924            if MinA<MaxA
925                hima=imagesc(AX,AY,B,[MinA MaxA]);
926            else % to deal with uniform field
927                hima=imagesc(AX,AY,B,[MaxA-1 MaxA]);
928            end
929            % the function imagesc reset the axes 'DataAspectRatioMode'='auto', change if .CheckFixAspectRatio is
930            % requested:
931            set(hima,'Tag','ima')
932            set(hima,'HitTest','off')
933            set(haxes,'Tag',tag);%preserve the axes tag (removed by image fct !!!)
934            uistack(hima, 'bottom')
935            % update an existing image
936        else
937            set(hima,'CData',B);
938            if MinA<MaxA
939                set(haxes,'CLim',[MinA MaxA])
940            else
941                set(haxes,'CLim',[MinA MaxA+1])
942            end
943            set(hima,'XData',AX);
944            set(hima,'YData',AY);
945        end
946       
947        % set the transparency to 0.5 if vectors are also plotted
948        if isfield(PlotParam.Scalar,'Opacity')&& ~isempty(PlotParam.Scalar.Opacity)
949            set(hima,'AlphaData',PlotParam.Scalar.Opacity)
950        else
951            if test_vec
952                set(hima,'AlphaData',0.5)%set opacity to 0.5 by default in the presence of vectors
953                PlotParamOut.Scalar.Opacity=0.5;
954            else
955                set(hima,'AlphaData',1)% full opacity (no transparency) by default
956            end
957        end
958    end
959    test_ima=1;
960   
961    %display the colorbar code for B/W images if Poscolorbar not empty
962    if ~isempty(PosColorbar)
963        if siz==2 && exist('PosColorbar','var')
964            if isempty(hcol)||~ishandle(hcol)
965                hcol=colorbar;%create new colorbar
966            end
967            if length(PosColorbar)==4
968                set(hcol,'Position',PosColorbar)
969            end
970            %YTick=0;%default
971            if MaxA>MinA
972                if CheckContour
973                    colbarlim=get(hcol,'YLim');
974                    scale_bar=(colbarlim(2)-colbarlim(1))/(abscontmax-abscontmin);
975                    YTick=cont_pos(2:end-1);
976                    YTick_scaled=colbarlim(1)+scale_bar*(YTick-abscontmin);
977                    set(hcol,'YTick',YTick_scaled);
978                elseif (isfield(PlotParam.Scalar,'CheckBW') && isequal(PlotParam.Scalar.CheckBW,1))||isa(A,'uint8')|| isa(A,'uint16')%images
979                    hi=get(hcol,'children');
980                    if iscell(hi)%multiple images in colorbar
981                        hi=hi{1};
982                    end
983                    set(hi,'YData',[MinA MaxA])
984                    set(hi,'CData',(1:256)')
985                    set(hcol,'YLim',[MinA MaxA])
986                    YTick=colbartick(MinA,MaxA);
987                    set(hcol,'YTick',YTick)
988                else
989                    hi=get(hcol,'children');
990                    if iscell(hi)%multiple images in colorbar
991                        hi=hi{1};
992                    end
993                    set(hi,'YData',[MinA MaxA])
994                    set(hi,'CData',(1:64)')
995                    YTick=colbartick(MinA,MaxA);
996                    set(hcol,'YLim',[MinA MaxA])
997                    set(hcol,'YTick',YTick)
998                end
999                set(hcol,'Yticklabel',num2str(YTick'));
1000            end
1001        elseif ishandle(hcol)
1002            delete(hcol); %erase existing colorbar if not needed
1003        end
1004    end
1005else%no scalar plot
1006    if ~isempty(hima) && ishandle(hima)
1007        delete(hima)
1008    end
1009    if ~isempty(PosColorbar) && ~isempty(hcol)&& ishandle(hcol)
1010        delete(hcol)
1011    end
1012    PlotParamOut=rmfield(PlotParamOut,'Scalar');
1013end
1014
1015%%   vector plot %%%%%%%%%%%%%%%%%%%%%%%%%%
1016if test_vec
1017   %vector scale representation
1018    if size(vec_U,1)==numel(vec_Y) && size(vec_U,2)==numel(vec_X); % x, y  coordinate variables
1019        [vec_X,vec_Y]=meshgrid(vec_X,vec_Y);
1020    end   
1021    vec_X=reshape(vec_X,1,numel(vec_X));%reshape in matlab vectors
1022    vec_Y=reshape(vec_Y,1,numel(vec_Y));
1023    vec_U=reshape(vec_U,1,numel(vec_U));
1024    vec_V=reshape(vec_V,1,numel(vec_V));
1025     MinMaxX=max(vec_X)-min(vec_X);
1026    if  isfield(PlotParam.Vectors,'CheckFixVectors') && isequal(PlotParam.Vectors.CheckFixVectors,1)&& isfield(PlotParam.Vectors,'VecScale')...
1027               &&~isempty(PlotParam.Vectors.VecScale) && isa(PlotParam.Vectors.VecScale,'double') %fixed vector scale
1028        scale=PlotParam.Vectors.VecScale;  %impose the length of vector representation
1029    else
1030        if ~test_false %remove false vectors   
1031            indsel=1:numel(vec_X);%
1032        end
1033        if isempty(vec_U)
1034            scale=1;
1035        else
1036            if isempty(indsel)
1037                MaxU=max(abs(vec_U));
1038                MaxV=max(abs(vec_V));
1039            else
1040                MaxU=max(abs(vec_U(indsel)));
1041                MaxV=max(abs(vec_V(indsel)));
1042            end
1043            scale=MinMaxX/(max(MaxU,MaxV)*50);
1044            PlotParam.Vectors.VecScale=scale;%update the 'scale' display
1045        end
1046    end
1047   
1048    %record vectors on the plotting axes
1049    if test_C==0
1050        vec_C=ones(1,numel(vec_X));
1051    end
1052   
1053    %decimate by a factor 2 in vector mesh(4 in nbre of vectors)
1054    check_decimate=0;
1055    if isfield(PlotParam.Vectors,'CheckDecimate4') && PlotParam.Vectors.CheckDecimate4
1056        check_decimate=1;
1057        diffy=diff(vec_Y); %difference dy=vec_Y(i+1)-vec_Y(i)
1058        dy_thresh=max(abs(diffy))/2;
1059        ind_jump=find(abs(diffy) > dy_thresh); %indices with diff(vec_Y)> max/2, detect change of line
1060        ind_sel=1:ind_jump(1);%select the first line
1061        for i=2:2:length(ind_jump)-1
1062            ind_sel=[ind_sel (ind_jump(i)+1:ind_jump(i+1))];% select the odd lines
1063        end
1064        nb_sel=length(ind_sel);
1065        ind_sel=ind_sel(1:2:nb_sel);% take half the points on a line
1066    elseif isfield(PlotParam.Vectors,'CheckDecimate16') && PlotParam.Vectors.CheckDecimate16
1067        check_decimate=1;
1068        diffy=diff(vec_Y); %difference dy=vec_Y(i+1)-vec_Y(i)
1069        dy_thresh=max(abs(diffy))/2;
1070        ind_jump=find(abs(diffy) > dy_thresh); %indices with diff(vec_Y)> max/2, detect change of line
1071        ind_sel=1:ind_jump(1);%select the first line
1072        for i=2:4:length(ind_jump)-1
1073            ind_sel=[ind_sel (ind_jump(i)+1:ind_jump(i+1))];% select the odd lines
1074        end
1075        nb_sel=length(ind_sel);
1076        ind_sel=ind_sel(1:4:nb_sel);% take half the points on a line
1077    end
1078    if check_decimate
1079        vec_X=vec_X(ind_sel);
1080        vec_Y=vec_Y(ind_sel);
1081        vec_U=vec_U(ind_sel);
1082        vec_V=vec_V(ind_sel);
1083        vec_C=vec_C(ind_sel);
1084        if ~isempty(ivar_F)
1085           vec_F=vec_F(ind_sel);
1086        end
1087        if ~isempty(ivar_FF_vec)
1088           vec_FF=vec_FF(ind_sel);
1089        end
1090    end
1091   
1092    %get main level color code
1093    [colorlist,col_vec,PlotParamOut.Vectors]=set_col_vec(PlotParam.Vectors,vec_C);
1094   
1095    % take flags into account: add flag colors to the list of colors
1096    sizlist=size(colorlist);
1097    nbcolor=sizlist(1);
1098    if test_black
1099       nbcolor=nbcolor+1;
1100       colorlist(nbcolor,:)=[0 0 0]; %add black to the list of colors
1101       if ~isempty(ivar_FF_vec)
1102            col_vec(vec_F~=1 & vec_F~=0 & vec_FF==0)=nbcolor;
1103       else
1104            col_vec(vec_F~=1 & vec_F~=0)=nbcolor;
1105       end
1106    end
1107    nbcolor=nbcolor+1;
1108    if ~isempty(ivar_FF_vec)
1109        if isfield(PlotParam.Vectors,'CheckHideFalse') && PlotParam.Vectors.CheckHideFalse==1
1110            colorlist(nbcolor,:)=[NaN NaN NaN];% no plot of false vectors
1111        else
1112            colorlist(nbcolor,:)=[1 0 1];% magenta color
1113        end
1114        col_vec(vec_FF~=0)=nbcolor;
1115    end
1116    %plot vectors:
1117    quiresetn(haxes,vec_X,vec_Y,vec_U,vec_V,scale,colorlist,col_vec);   
1118
1119else
1120    hvec=findobj(haxes,'Tag','vel');
1121    if ~isempty(hvec)
1122        delete(hvec);
1123    end
1124    PlotParamOut=rmfield(PlotParamOut,'Vectors');
1125end
1126% nbvar=0;
1127
1128%store the coordinate extrema occupied by the field
1129if ~isempty(Data)
1130    MinX=[];
1131    MaxX=[];
1132    MinY=[];
1133    MaxY=[];
1134    fix_lim=isfield(PlotParam.Coordinates,'CheckFixLimits') && PlotParam.Coordinates.CheckFixLimits;
1135    if fix_lim
1136        if isfield(PlotParam.Coordinates,'MinX')&&isfield(PlotParam.Coordinates,'MaxX')&&isfield(PlotParam.Coordinates,'MinY')&&isfield(PlotParam.Coordinates,'MaxY')
1137            MinX=PlotParam.Coordinates.MinX;
1138            MaxX=PlotParam.Coordinates.MaxX;
1139            MinY=PlotParam.Coordinates.MinY;
1140            MaxY=PlotParam.Coordinates.MaxY;
1141        end  %else PlotParamOut.MinX =PlotParam.MinX...
1142    else
1143        if test_ima %both background image and vectors coexist, take the wider bound
1144            MinX=min(AX);
1145            MaxX=max(AX);
1146            MinY=min(AY);
1147            MaxY=max(AY);
1148            if test_vec
1149                MinX=min(MinX,min(vec_X));
1150                MaxX=max(MaxX,max(vec_X));
1151                MinY=min(MinY,min(vec_Y));
1152                MaxY=max(MaxY,max(vec_Y));
1153            end
1154        elseif test_vec
1155            MinX=min(vec_X);
1156            MaxX=max(vec_X);
1157            MinY=min(vec_Y);
1158            MaxY=max(vec_Y);
1159        end
1160    end
1161    PlotParamOut.Coordinates.MinX=MinX;
1162    PlotParamOut.Coordinates.MaxX=MaxX;
1163    PlotParamOut.Coordinates.MinY=MinY;
1164    PlotParamOut.Coordinates.MaxY=MaxY;
1165    if MaxX>MinX
1166        set(haxes,'XLim',[MinX MaxX]);% set x limits of frame in axes coordinates
1167    end
1168    if MaxY>MinY
1169        set(haxes,'YLim',[MinY MaxY]);% set x limits of frame in axes coordinates
1170    end
1171    set(haxes,'YDir','normal')
1172    set(get(haxes,'XLabel'),'String',[XName ' (' x_units ')']);
1173    set(get(haxes,'YLabel'),'String',[YName ' (' y_units ')']);
1174    PlotParamOut.Coordinates.x_units=x_units;
1175    PlotParamOut.Coordinates.y_units=y_units;
1176end
1177if isfield(PlotParam,'Coordinates') && isfield(PlotParam.Coordinates,'CheckFixAspectRatio') && isequal(PlotParam.Coordinates.CheckFixAspectRatio,1)
1178    set(haxes,'DataAspectRatioMode','manual')
1179    if isfield(PlotParam.Coordinates,'AspectRatio')
1180        set(haxes,'DataAspectRatio',[PlotParam.Coordinates.AspectRatio 1 1])
1181    end
1182else
1183    set(haxes,'DataAspectRatioMode','auto')
1184end
1185%-------------------------------------------------------------------
1186% --- function for plotting vectors
1187%INPUT:
1188% haxes: handles of the plotting axes
1189% x,y,u,v: vectors coordinates and vector components to plot, arrays withb the same dimension
1190% scale: scaling factor for vector length representation
1191% colorlist(icolor,:): list of vector colors, dim (nbcolor,3), depending on color #i
1192% col_vec: matlab vector setting the color number #i for each velocity vector
1193function quiresetn(haxes,x,y,u,v,scale,colorlist,col_vec)
1194%-------------------------------------------------------------------
1195%define arrows
1196theta=0.5 ;%angle arrow
1197alpha=0.3 ;%length arrow
1198rot=alpha*[cos(theta) -sin(theta); sin(theta) cos(theta)]';
1199%find the existing lines
1200h=findobj(haxes,'Tag','vel');% search existing lines in the current axes
1201sizh=size(h);
1202set(h,'EraseMode','xor');
1203set(haxes,'NextPlot','replacechildren');
1204
1205%drawnow
1206%create lines (if no lines) or modify them
1207if ~isequal(size(col_vec),size(x))
1208    col_vec=ones(size(x));% case of error in col_vec input
1209end
1210sizlist=size(colorlist);
1211ncolor=sizlist(1);
1212
1213for icolor=1:ncolor
1214    %determine the line positions for each color icolor
1215    ind=find(col_vec==icolor);
1216    xc=x(ind);
1217    yc=y(ind);
1218    uc=u(ind)*scale;
1219    vc=v(ind)*scale;
1220    n=size(xc);
1221    xN=NaN*ones(size(xc));
1222    matx=[xc(:)-uc(:)/2 xc(:)+uc(:)/2 xN(:)]';
1223    matx=reshape(matx,1,3*n(2));
1224    maty=[yc(:)-vc(:)/2 yc(:)+vc(:)/2 xN(:)]';
1225    maty=reshape(maty,1,3*n(2));
1226   
1227    %determine arrow heads
1228    arrowplus=rot*[uc;vc];
1229    arrowmoins=rot'*[uc;vc];
1230    x1=xc+uc/2-arrowplus(1,:);
1231    x2=xc+uc/2;
1232    x3=xc+uc/2-arrowmoins(1,:);
1233    y1=yc+vc/2-arrowplus(2,:);
1234    y2=yc+vc/2;
1235    y3=yc+vc/2-arrowmoins(2,:);
1236    matxar=[x1(:) x2(:) x3(:) xN(:)]';
1237    matxar=reshape(matxar,1,4*n(2));
1238    matyar=[y1(:) y2(:) y3(:) xN(:)]';
1239    matyar=reshape(matyar,1,4*n(2));
1240    %draw the line or modify the existing ones
1241%     tri=reshape(1:3*length(uc),3,[])';   
1242    isn=isnan(colorlist(icolor,:));%test if color NaN
1243    if 2*icolor > sizh(1) %if icolor exceeds the number of existing ones
1244        if ~isn(1) %if the vectors are visible color not nan
1245            if n(2)>0
1246                hold on
1247                line(matx,maty,'Color',colorlist(icolor,:),'Tag','vel');% plot new lines
1248                line(matxar,matyar,'Color',colorlist(icolor,:),'Tag','vel');% plot arrows
1249            end
1250        end
1251    else
1252        if isn(1)
1253            delete(h(2*icolor-1))
1254            delete(h(2*icolor))
1255        else
1256            set(h(2*icolor-1),'Xdata',matx,'Ydata',maty);
1257            set(h(2*icolor-1),'Color',colorlist(icolor,:));
1258            set(h(2*icolor-1),'EraseMode','xor');
1259            set(h(2*icolor),'Xdata',matxar,'Ydata',matyar);
1260            set(h(2*icolor),'Color',colorlist(icolor,:));
1261            set(h(2*icolor),'EraseMode','xor');
1262        end
1263    end
1264end
1265if sizh(1) > 2*ncolor
1266    for icolor=ncolor+1 : sizh(1)/2%delete additional objects
1267        delete(h(2*icolor-1))
1268        delete(h(2*icolor))
1269    end
1270end
1271
1272%-------------------------------------------------------------------
1273% ---- determine tick positions for colorbar
1274function YTick=colbartick(MinA,MaxA)
1275%-------------------------------------------------------------------
1276%determine tick positions with "simple" values between MinA and MaxA
1277YTick=0;%default
1278maxabs=max([abs(MinA) abs(MaxA)]);
1279if maxabs>0
1280ord=10^(floor(log10(maxabs)));%order of magnitude
1281div=1;
1282siz2=1;
1283while siz2<2
1284    values=-10:div:10;
1285    ind=find((ord*values-MaxA)<0 & (ord*values-MinA)>0);%indices of 'values' such that MinA<ord*values<MaxA
1286    siz=size(ind);
1287    if siz(2)<4%if there are less than 4 selected values (4 levels)
1288        values=-9:0.5*div:9;
1289        ind=find((ord*values-MaxA)<0 & (ord*values-MinA)>0);
1290    end
1291    siz2=size(ind,2);
1292    div=div/10;
1293end
1294YTick=ord*values(ind);
1295end
1296
1297% -------------------------------------------------------------------------
1298% --- 'proj_grid': project  fields with unstructured coordinantes on a regular grid
1299function [A,rangx,rangy]=proj_grid(vec_X,vec_Y,vec_A,rgx_in,rgy_in,npxy_in)
1300% -------------------------------------------------------------------------
1301if length(vec_Y)<2
1302    msgbox_uvmat('ERROR','less than 2 points in proj_grid.m');
1303    return;
1304end
1305diffy=diff(vec_Y); %difference dy=vec_Y(i+1)-vec_Y(i)
1306index=find(diffy);% find the indices of vec_Y after wich a change of horizontal line occurs(diffy non zero)
1307if isempty(index); msgbox_uvmat('ERROR','points aligned along abscissa in proj_grid.m'); return; end;%points aligned% A FAIRE: switch to line plot.
1308diff2=diff(diffy(index));% diff2 = fluctuations of the detected vertical grid mesh dy
1309if max(abs(diff2))>0.001*abs(diffy(index(1))) % if max(diff2) is larger than 1/1000 of the first mesh dy
1310    % the data are not regularly spaced and must be interpolated  on a regular grid
1311    if exist('rgx_in','var') & ~isempty (rgx_in) & isnumeric(rgx_in) & length(rgx_in)==2%  positions imposed from input
1312        rangx=rgx_in; % first and last positions
1313        rangy=rgy_in;
1314        dxy(1)=1/(npxy_in(1)-1);%grid mesh in y
1315        dxy(2)=1/(npxy_in(2)-1);%grid mesh in x
1316        dxy(1)=(rangy(2)-rangy(1))/(npxy_in(1)-1);%grid mesh in y
1317        dxy(2)=(rangx(2)-rangx(1))/(npxy_in(2)-1);%grid mesh in x
1318    else % interpolation grid automatically determined
1319        rangx(1)=min(vec_X);
1320        rangx(2)=max(vec_X);
1321        rangy(2)=min(vec_Y);
1322        rangy(1)=max(vec_Y);
1323        dxymod=sqrt((rangx(2)-rangx(1))*(rangy(1)-rangy(2))/length(vec_X));
1324        dxy=[-dxymod/4 dxymod/4];% increase the resolution 4 times
1325    end
1326    xi=[rangx(1):dxy(2):rangx(2)];
1327    yi=[rangy(1):dxy(1):rangy(2)];
1328    A=griddata_uvmat(vec_X,vec_Y,vec_A,xi,yi');
1329    A=reshape(A,length(yi),length(xi));
1330else
1331    x=vec_X(1:index(1));% the set of abscissa (obtained on the first line)
1332    indexend=index(end);% last vector index of line change
1333    ymax=vec_Y(indexend+1);% y coordinate AFTER line change
1334    ymin=vec_Y(index(1));
1335    y=vec_Y(index);
1336    y(length(y)+1)=ymax;
1337    nx=length(x);   %number of grid points in x
1338    ny=length(y);   % number of grid points in y
1339    B=(reshape(vec_A,nx,ny))'; %vec_A reshaped as a rectangular matrix
1340    [X,Y]=meshgrid(x,y);% positions X and Y also reshaped as matrix
1341
1342    %linear interpolation to improve the image resolution and/or adjust
1343    %to prescribed positions
1344    test_interp=1;
1345    if exist('rgx_in','var') & ~isempty (rgx_in) & isnumeric(rgx_in) & length(rgx_in)==2%  positions imposed from input
1346        rangx=rgx_in; % first and last positions
1347        rangy=rgy_in;
1348        npxy=npxy_in;
1349    else       
1350        rangx=[vec_X(1) vec_X(nx)];% first and last position found for x
1351          rangy=[max(ymax,ymin) min(ymax,ymin)];
1352        if max(nx,ny) <= 64 & isequal(npxy_in,'np>256')
1353            npxy=[8*ny 8*nx];% increase the resolution 8 times
1354        elseif max(nx,ny) <= 128 & isequal(npxy_in,'np>256')
1355            npxy=[4*ny 4*nx];% increase the resolution 4 times
1356        elseif max(nx,ny) <= 256 & isequal(npxy_in,'np>256')
1357            npxy=[2*ny 2*nx];% increase the resolution 2 times
1358        else
1359            npxy=[ny nx];
1360            test_interp=0; % no interpolation done
1361        end
1362    end
1363    if test_interp==1%if we interpolate
1364        xi=[rangx(1):(rangx(2)-rangx(1))/(npxy(2)-1):rangx(2)];
1365        yi=[rangy(1):(rangy(2)-rangy(1))/(npxy(1)-1):rangy(2)];
1366        [XI,YI]=meshgrid(xi,yi);
1367        A = interp2(X,Y,B,XI,YI);
1368    else %no interpolation for a resolution higher than 256
1369        A=B;
1370    end
1371end
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