source: trunk/src/plot_field.m @ 61

Last change on this file since 61 was 61, checked in by sommeria, 11 years ago

gestion of projection objects improved. Implementation of view_field.fig
introduction of a circle to mark vectors with the mouse
various cleaning and debugging

File size: 47.7 KB
Line 
1%'plot_field': plot any field with the structure defined in the uvmat package
2%------------------------------------------------------------------------
3%
4%  This function is used by uvmat to plot fields. It automatically chooses the representation
5% appropriate to the input field structure:
6%     2D vector fields are represented by arrows, 2D scalar fiedlds 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_indices.m.
9%  The dimensionality of each block is obtained  by this fuction
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,KeepLim,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
44%         additional elements characterizing the projection object (should not be necessary)--
45%            Data.Style : style of projection object
46%            Data.XObject,.YObject: set of coordinates defining the object position;
47%            Data.ProjMode=type of projection ;
48%            Data.ProjAngle=angle of projection;
49%            Data.DX,.DY,.DZ=increments;
50%            Data.MaxY,MinY: min and max Y
51
52%   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.
53%
54%   PlotParam: parameters for plotting, as read on the uvmat interface (by function 'read_plot_param.m')
55%            --scalars--
56%    .Scalar.MaxA: upper bound (saturation color) for the scalar representation, max(field) by default
57%    .Scalar.MinA: lower bound (saturation) for the scalar representation, min(field) by default
58%    .Scalar.AutoScal: =1 (default) lower and upper bounds of the scalar representation set to the min and max of the field
59%               =0 lower and upper bound imposed by .AMax and .MinA
60%    .Scalar.BW= 1 black and white representation imposed, =0 by default.
61%    .Scalar.Contours= 1: represent scalars by contour plots (Matlab function 'contour'); =0 by default
62%    .IncrA : contour interval
63%            -- vectors--
64%    .Vectors.VecScale: scale for the vector representation
65%    .Vectors.AutoVec: =0 (default) automatic length for vector representation, =1: length set by .VecScale
66%    .Vectors.HideFalse= 0 (default) false vectors represented in magenta, =1: false vectors not represented;
67%    .Vectors.HideWarning= 0 (default) vectors marked by warnflag~=0 marked in black, 1: no warning representation;
68%    .Vectors.decimate4 = 0 (default) all vectors reprtesented, =1: half of  the vectors represented along each coordinate
69%         -- vector color--
70%    .Vectors.ColorCode= 'black','white': imposed color  (default ='blue')
71%                        'rgb', : three colors red, blue, green depending
72%                        on thresholds .colcode1 and .colcode2 on the input  scalar value (C)
73%                        'brg': like rgb but reversed color order (blue, green, red)
74%                        '64 colors': continuous color from blue to red (multijet)
75%    .Vectors.colcode1 : first threshold for rgb, first value for'continuous'
76%    .Vectors.colcode2 : second threshold for rgb, last value (saturation) for 'continuous'
77%    .Vectors.FixedCbounds;  =0 (default): the bounds on C representation are min and max, =1: they are fixed by .Minc and .MaxC
78%    .Vectors.MinC = imposed minimum of the scalar field used for vector color;
79%    .Vectors.MaxC = imposed maximum of the scalar field used for vector color;
80%
81% KeepLim:=0 (default) adjust axes limit to the X,Y data, =1: preserves the previous axes limits
82% PosColorbar: if not empty, display a colorbar for B&W images
83%               imposed position of the colorbar (ex [0.821 0.471 0.019 0.445])
84%
85%AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA
86%  Copyright Joel Sommeria, 2008, LEGI / CNRS-UJF-INPG, sommeria@coriolis-legi.org.
87%AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA
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 by
92%     the Free Software Foundation; either version 2 of the License, or
93%     (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 (file UVMAT/COPYING.txt) for more details.
99%AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA
100
101function [PlotType,PlotParamOut,haxes]= plot_field(Data,haxes,PlotParam,KeepLim,PosColorbar)
102%default output
103if ~exist('PlotParam','var'),PlotParam=[];end;
104if ~exist('KeepLim','var'),KeepLim=0;end;
105if ~exist('PosColorbar','var'),PosColorbar=[];end;
106PlotType='text'; %default
107PlotParamOut=PlotParam;%default
108
109% check input structure
110[Data,errormsg]=check_field_structure(Data);
111
112if ~isempty(errormsg)
113    msgbox_uvmat('ERROR',['input of plot_field/check_field_structure: ' errormsg])
114    display(['input of plot_field/check_field_structure:: ' errormsg])
115    return
116end
117
118testnewfig=1;%test to create a new figure (default)
119testzoomaxes=0;%test for the existence of a zoom secondary figure attached to the plotting axes
120if exist('haxes','var')
121    if ishandle(haxes)
122        if isequal(get(haxes,'Type'),'axes')
123            axes(haxes)
124            testnewfig=0;
125            AxeData=get(haxes,'UserData');
126            if isfield(AxeData,'ZoomAxes')&& ishandle(AxeData.ZoomAxes)
127                if isequal(get(AxeData.ZoomAxes,'Type'),'axes')
128                    testzoomaxes=1;
129                    zoomaxes=AxeData.ZoomAxes;
130                end
131            end
132        end
133    end
134end
135if testnewfig% create a new figure and axes if the plotting axes does not exist
136    hfig=figure;
137    if isfield(Data,'IndexObj')&isfield(Data,'Style')&isfield(Data,'ProjMode')
138        figname=[num2str(Data.IndexObj) '-' Data.Style];
139        set(hfig,'Name',figname)
140    end
141    testhandle=0;
142    if isfield(PlotParam,'text_display_1')& ishandle(PlotParam.text_display_1)
143        set(hfig,'UserData',PlotParam)
144        testhandle=1;
145    end
146    set(hfig,'Units','normalized')
147    set(hfig,'WindowButtonDownFcn','mouse_down')
148    %set(hfig,'WindowButtonMotionFcn',{'mouse_motion',PlotParam})%set mouse action function
149    set(hfig,'WindowButtonMotionFcn','mouse_motion')%set mouse action function
150    set(hfig,'WindowButtonUpFcn','mouse_up')%set mouse action function
151    haxes=axes;
152    set(haxes,'position',[0.13,0.2,0.775,0.73])
153end
154if isfield(PlotParam,'text_display_1')& ishandle(PlotParam.text_display_1)
155    PlotParam=read_plot_param(PlotParam);   
156end
157if testnewfig
158  PlotParam.NextPlot='add'; %parameter for plot_profile and plot_hist
159end
160if isfield(PlotParam,'Auto_xy') && isequal(PlotParam.Auto_xy,1)
161    set(haxes,'DataAspectRatioMode','auto')%automatic aspect ratio
162end
163
164% check the cells of fields :
165testnbdim=1;
166[CellVarIndex,NbDim,VarType,errormsg]=find_field_indices(Data);
167
168if ~isempty(errormsg)
169    msgbox_uvmat('ERROR',['input of plot_field/find_field_indices: ' errormsg])
170    display(['input of plot_field: ' errormsg])
171    return
172end
173if ~isfield(Data,'NbDim') %& ~isfield(Data,'Style')%determine the space dimensionb if not defined: choose the kind of plot
174    [Data.NbDim,imax]=max(NbDim);
175end
176if isequal(Data.NbDim,0) % TODO: chech whether this function is still used, replace by plot_profile ?
177%     if isfield(Data,'Style') & isequal(Data.Style,'points')
178        AxeData=plot_text(Data,haxes);
179        PlotType='text';
180%     else
181%         [AxeData,haxes]=plot_hist(Data,haxes,PlotParam);
182%     end
183elseif isequal(Data.NbDim,1)
184    [AxeData,haxes]=plot_profile(Data,CellVarIndex,VarType,haxes,PlotParam);%
185    if testzoomaxes
186        [AxeData,zoomaxes,PlotParamOut]=plot_profile(Data,CellVarIndex,VarType,zoomaxes,PlotParam);
187        AxeData.ZoomAxes=zoomaxes;
188    end
189    PlotType='line';
190elseif isequal(Data.NbDim,2)
191    ind_select=find(NbDim>=2);
192    if numel(ind_select)>2
193        msgbox_uvmat('ERROR',['more than two fields to map'])
194        display(['more than two fields to map'])
195        return
196    end
197    [AxeData,haxes,PlotParamOut,PlotType]=plot_plane(Data,CellVarIndex(ind_select),VarType(ind_select),haxes,PlotParam,KeepLim,PosColorbar);
198    if testzoomaxes
199        [AxeData,zoomaxes,PlotParamOut]=plot_plane(Data,CellVarIndex(ind_select),VarType(ind_select),zoomaxes,PlotParam,1,PosColorbar);
200        AxeData.ZoomAxes=zoomaxes;
201    end
202elseif isequal(Data.NbDim,3)
203    msgbox_uvmat('ERROR','volume plot not implemented yet')
204    return
205else
206    testnbdim=0;
207end
208
209%display (or delete) error message
210htext=findobj(haxes,'Tag','hTxt');
211if isfield(Data,'Txt')
212    if isempty(htext)
213        Xlim=get(haxes,'XLim');
214        Ylim=get(haxes,'YLim');
215        htext=text(Xlim(1),(Ylim(1)+Ylim(2))/2,Data.Txt,'Tag','hTxt','Color','r');
216        set(htext,'Interpreter','none')
217    else
218        set(htext,'String',Data.Txt)
219    end
220elseif ~isempty(htext)
221    delete(htext)
222end
223
224% set graph aspect ratio
225
226
227set(haxes,'UserData',AxeData)
228%set(haxes,'Tag','uvmat');
229
230 
231% %-------------------------------------------
232% function [AxeData,haxes]=plot_hist(Data,haxes,PlotParam)% TODO: chech whether this function is still used, replace by plot_profile ?
233% %------------------------------------------
234% AxeData=get(haxes,'UserData'); %defau
235% hfig=get(haxes,'parent');
236% if ~isfield(Data,'ListVarName')
237%     return
238% end
239% ColorOrder=[1 0 0;0 0.5 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];
240% set(haxes,'ColorOrder',ColorOrder)
241% if isfield(PlotParam,'NextPlot')
242%     set(haxes,'NextPlot',PlotParam.NextPlot)
243% end
244% charplot='''-''';
245% iplot=0;
246% legend_str={};
247% label_str='';
248% textmean={};
249% plotstr='plot(';
250% for ilist=1:length(Data.ListVarName)
251%     VarName=Data.ListVarName{ilist};
252%     eval(['[' VarName 'hist,' VarName 'val]=hist(double(Data.' VarName '),100);']);%coordinate variable set as c
253%     plotstr=[plotstr VarName 'val,' VarName 'hist,' charplot ','];
254%     eval(['nbcomponent2=size(Data.' VarName ',2);']);
255%     eval(['nbcomponent1=size(Data.' VarName ',1);']);
256%     eval(['varmean=mean(double(Data.' VarName '));']);%mean value
257%     textmean=[textmean; {[VarName 'mean= ' num2str(varmean,4)]}];
258%     if nbcomponent1==1| nbcomponent2==1
259%         legend_str=[legend_str {VarName}]; %variable with one component
260%     else
261%         for ic=1:min(nbcomponent1,nbcomponent2)
262%             legend_str=[legend_str [VarName '_' num2str(ic)]]; %variable with severals  components
263%                                                                % labeled by their index (e.g. color component)
264%         end
265%     end
266%     label_str=[label_str ' ' VarName];
267% end
268% if ~isequal(plotstr,'plot(')
269%     plotstr(end)=')';
270%     eval(plotstr)
271%     hlegend=findobj(hfig,'Tag','legend');%find existing legend on the plot
272%     if ~isempty(hlegend)
273%         legend_old=get(hlegend,'String');
274%         if isequal(size(legend_old,1),size(legend_str,1))
275%              legend_str=[legend_old legend_str];
276%         end
277%     end
278%     legend(legend_str)
279%     xlabel(label_str)
280%     ylabel('nb values')
281%      grid on
282%     title_str='';
283%     if isfield(Data,'filename')
284%        [Path, title_str, ext]=fileparts(Data.filename);
285%        title_str=[title_str ext];
286%     end
287%     if isfield(Data,'Action')
288%         if ~isequal(title_str,'')
289%             title_str=[title_str ', '];
290%         end
291%         title_str=[title_str Data.Action];
292%     end
293%     htitle=title(title_str);
294%     set(htitle,'Interpreter','none')% desable tex interpreter
295%     hlist=findobj(gcf,'Style','listbox');
296%     if isempty(hlist)
297%             uicontrol('Style','popupmenu','Position',[20 20 200 20],'String',textmean);
298%     else
299%             set(hlist(1),'String',textmean)
300%     end
301% end
302% AxeData=Data;
303
304
305%----------------------------------------------------------
306function [AxeData,haxes]=plot_profile(data,CellVarIndex,VarType,haxes,PlotParam)
307%-----------------------------------------------------------
308%axes(haxes)
309hfig=get(haxes,'parent');
310AxeData=data;
311ColorOrder=[1 0 0;0 0.5 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];
312set(haxes,'ColorOrder',ColorOrder)
313if isfield(PlotParam,'NextPlot')
314    set(haxes,'NextPlot',PlotParam.NextPlot)
315end
316% adjust the size of the plot to include the whole field, except if KeepLim=1
317if isfield(PlotParam,'FixedLimits') && isequal(PlotParam.FixedLimits,1)  %adjust the graph limits*
318    set(haxes,'XLimMode', 'manual')
319    set(haxes,'YLimMode', 'manual')
320else
321    set(haxes,'XLimMode', 'auto')
322    set(haxes,'YLimMode', 'auto')
323end
324legend_str={};
325
326%initiates string of the plot command
327plotstr='plot(';
328textmean={};
329abscissa_name='';
330coord_x_index=[];
331for icell=1:length(CellVarIndex)
332    testfalse=0;
333    VarIndex=CellVarIndex{icell};%  indices of the selected variables in the list data.ListVarName
334    DimCell=data.VarDimName{VarIndex(1)};
335    if ischar(DimCell)
336        DimCell={DimCell};
337    end
338    XName=DimCell{1}; %first dimension considered as abscissa
339    if ~isempty(VarType{icell}.coord_x)
340        coord_x_index=VarType{icell}.coord_x;
341    else
342        coord_x_index_cell=VarType{icell}.coord(1);
343        if isequal(coord_x_index_cell,0)
344            continue  % the cell has no abscissa, skip it
345        end
346        if ~isempty(coord_x_index)&&~isequal(coord_x_index_cell,coord_x_index)
347            continue %all the selected variables must have the same first dimension
348        else
349            coord_x_index=coord_x_index_cell;
350        end
351    end
352    testplot=ones(size(data.ListVarName));%default test for plotted variables
353    testcoordvar=0;
354    charplot_0='''-''';%default
355    if isfield(data,'ObjectProjMode')& isequal(data.ObjectProjMode,'projection')
356        charplot_0='''+''';
357    end
358    xtitle=''; 
359   
360    xtitle=data.ListVarName{coord_x_index};
361    eval(['coord_x{icell}=data.' data.ListVarName{coord_x_index} ';']);%coordinate variable set as coord_x
362    if isfield(data,'VarAttribute')&& numel(data.VarAttribute)>=coord_x_index && isfield(data.VarAttribute{coord_x_index},'units')
363         xtitle=[xtitle '(' data.VarAttribute{coord_x_index}.units ')'];
364    end
365    eval(['coord_x{icell}=data.' data.ListVarName{coord_x_index} ';']);%coordinate variable set as coord_x
366    testcoordvar=1;
367    testplot(coord_x_index)=0;
368    if ~isempty(VarType{icell}.ancillary')
369            testplot(VarType{icell}.ancillary)=0;
370    end
371    if ~isempty(VarType{icell}.warnflag')
372            testplot(VarType{icell}.warnflag)=0;
373    end
374    if ~isempty(VarType{icell}.discrete')
375         charplot_0='''+''';
376    else
377          charplot_0='''-''';
378    end
379    if isfield(data,'VarAttribute')
380        VarAttribute=data.VarAttribute;
381        for ivar=1:length(VarIndex)
382             if length(VarAttribute)>=VarIndex(ivar) & isfield(VarAttribute{VarIndex(ivar)},'long_name')
383                 plotname{VarIndex(ivar)}=VarAttribute{VarIndex(ivar)}.long_name;
384             else
385                 plotname{VarIndex(ivar)}=data.ListVarName{VarIndex(ivar)};%name for display in plot A METTRE
386             end
387        end
388    end
389    for ivar=1:length(VarIndex)
390        if testplot(VarIndex(ivar))
391            VarName=data.ListVarName{VarIndex(ivar)};
392            eval(['data.' VarName '=squeeze(data.' VarName ');'])
393            if isequal(VarName,'A')
394                charplot='''-''';
395            else
396                charplot=charplot_0;
397            end
398            plotstr=[plotstr 'coord_x{' num2str(icell) '},data.' VarName ',' charplot ','];
399            eval(['nbcomponent2=size(data.' VarName ',2);']);
400            eval(['nbcomponent1=size(data.' VarName ',1);']);
401            if numel(coord_x{icell})==2
402                coord_x{icell}=linspace(coord_x{icell}(1),coord_x{icell}(2),nbcomponent1);
403            end
404            eval(['varmean=mean(double(data.' VarName '));']);%mean value
405            textmean=[textmean; {[VarName 'mean= ' num2str(varmean,4)]}];
406            if nbcomponent1==1| nbcomponent2==1
407                legend_str=[legend_str {VarName}]; %variable with one component
408            else  %variable with severals  components
409                for ic=1:min(nbcomponent1,nbcomponent2)
410                    legend_str=[legend_str [VarName '_' num2str(ic)]]; %variable with severals  components
411                end                                                   % labeled by their index (e.g. color component)
412            end
413        end
414    end
415end
416if ~isequal(plotstr,'plot(')
417    plotstr(end)=')';
418                %execute plot (instruction  plotstr)   
419    eval(plotstr)
420                %%%%%
421    grid on
422    hxlabel=xlabel(xtitle);
423    set(hxlabel,'Interpreter','none')% desable tex interpreter
424    if length(legend_str)>=1
425        hylabel=ylabel(legend_str{end});
426        set(hylabel,'Interpreter','none')% desable tex interpreter
427    end
428    if ~isempty(legend_str)
429        hlegend=findobj(hfig,'Tag','legend');
430        if isempty(hlegend)
431            hlegend=legend(legend_str);
432            txt=ver;
433            Release=txt(1).Release;
434            relnumb=str2num(Release(3:4));
435            if relnumb >= 14
436                set(hlegend,'Interpreter','none')% desable tex interpreter
437            end
438        else
439            legend_old=get(hlegend,'String');
440            if isequal(size(legend_old,1),size(legend_str,1))&~isequal(legend_old,legend_str)
441                set(hlegend,'String',[legend_old legend_str]);
442            end
443        end
444    end
445    title_str='';
446    if isfield(data,'filename')
447       [Path, title_str, ext]=fileparts(data.filename);
448       title_str=[title_str ext];
449    end
450    if isfield(data,'Action')
451        if ~isequal(title_str,'')
452            title_str=[title_str ', '];
453        end
454        title_str=[title_str data.Action];
455    end
456    htitle=title(title_str);
457    txt=ver;
458    Release=txt(1).Release;
459    relnumb=str2num(Release(3:4));
460    if relnumb >= 14
461        set(htitle,'Interpreter','none')% desable tex interpreter
462    end
463    % A REPRENDRE Mean
464%         hlist=findobj(gcf,'Style','listbox','Tag','liststat');
465%         if isempty(hlist)
466%             'text'
467%             textmean
468%             set(gca,'position',[0.13,0.2,0.775,0.73])
469%             uicontrol('Style','popupmenu','Position',[20 20 200 20],'String',textmean,'Tag','liststat');
470%         else
471%             set(hlist(1),'String',textmean)
472%         end
473end
474
475
476%---------------------------------------
477% plot_plane
478%----------------------------------------
479function [AxeData,haxes,PlotParamOut,PlotType]=plot_plane(Data,CellVarIndex,VarTypeCell,haxes,PlotParam,KeepLim,PosColorbar)
480
481%default plotting parameters
482PlotType='plane';%default
483if ~exist('PlotParam','var')
484    PlotParam=[];
485end
486if ~isfield(PlotParam,'Scalar')
487    PlotParam.Scalar=[];
488end
489if ~isfield(PlotParam,'Vectors')
490    PlotParam.Vectors=[];
491end
492PlotParamOut=PlotParam;%default
493
494%plotting axes
495hfig=get(haxes,'parent');
496hcol=findobj(hfig,'Tag','Colorbar'); %look for colorbar axes
497hima=findobj(haxes,'Tag','ima');% search existing image in the current axes
498AxeData=get(haxes,'UserData'); %default
499if ~isstruct(AxeData)% AxeData must be a structure
500    AxeData=[];
501end
502AxeData.NbDim=2;
503if isfield(Data,'ObjectCoord')
504    AxeData.ObjectCoord=Data.ObjectCoord;
505end
506
507test_ima=0; %default: test for image or map plot
508test_vec=0; %default: test for vector plots
509test_black=0;
510test_false=0;
511test_C=0;
512XName='';
513x_units='';
514YName='';
515y_units='';
516for icell=1:length(CellVarIndex) % length(CellVarIndex) =1 or 2 (from the calling function)
517%     VarIndex=CellVarIndex{icell};
518    VarType=VarTypeCell{icell};
519    ivar_X=VarType.coord_x; % defines (unique) index for the variable representing unstructured x coordinate (default =[])
520    ivar_Y=VarType.coord_y; % defines (unique)index for the variable representing unstructured y coordinate (default =[])
521    ivar_U=VarType.vector_x; % defines (unique) index for the variable representing x vector component (default =[])
522    ivar_V=VarType.vector_y; % defines (unique) index for the variable representing y vector component (default =[])
523    ivar_C=[VarType.scalar VarType.image VarType.color VarType.ancillary]; %defines index (indices) for the scalar or ancillary fields
524    if numel(ivar_C)>1
525        msgbox_uvmat('ERROR','error in plot_field: too many scalar inputs')
526        return
527    end
528    ivar_F=VarType.warnflag; %defines index (unique) for warning flag variable
529    ivar_FF=VarType.errorflag; %defines index (unique) for error flag variable
530    ind_coord=find(VarType.coord);
531    if numel(ind_coord)==2
532        VarType.coord=VarType.coord(ind_coord);
533    end
534    idim_Y=[]; 
535    test_grid=0;
536    if ~isempty(ivar_U) && ~isempty(ivar_V)% vector components detected
537        if test_vec
538            msgbox_uvmat('ERROR','error in plot_field: attempt to plot two vector fields')
539            return
540        else
541            test_vec=1;
542            eval(['vec_U=Data.' Data.ListVarName{ivar_U} ';'])
543            eval(['vec_V=Data.' Data.ListVarName{ivar_V} ';'])
544            if ~isempty(ivar_X) && ~isempty(ivar_Y)% 2D field (with unstructured coordinates or structured ones (then ivar_X and ivar_Y empty)     
545                eval(['vec_X=Data.' Data.ListVarName{ivar_X} ';'])
546                eval(['vec_Y=Data.' Data.ListVarName{ivar_Y} ';'])
547            elseif numel(VarType.coord)==2 & VarType.coord~=[0 0];%coordinates defines by dimension variables
548                eval(['y=Data.' Data.ListVarName{VarType.coord(1)} ';'])
549                eval(['x=Data.' Data.ListVarName{VarType.coord(2)} ';'])
550                if numel(y)==2 % y defined by first and last values on aregular mesh
551                    y=linspace(y(1),y(2),size(vec_U,1));
552                end
553                if numel(x)==2 % y defined by first and last values on aregular mesh
554                    x=linspace(x(1),x(2),size(vec_U,2));
555                end
556                [vec_X,vec_Y]=meshgrid(x,y); 
557            else
558                msgbox_uvmat('ERROR','error in plot_field: invalid coordinate definition for vector field')
559                return
560            end
561            if ~isempty(ivar_C)
562                 eval(['vec_C=Data.' Data.ListVarName{ivar_C} ';']) ;
563                 vec_C=reshape(vec_C,1,numel(vec_C));
564                 test_C=1;
565            end
566            if ~isempty(ivar_F)%~(isfield(PlotParam.Vectors,'HideWarning')&& isequal(PlotParam.Vectors.HideWarning,1))
567                if test_vec
568                    eval(['vec_F=Data.' Data.ListVarName{ivar_F} ';']) % warning flags for  dubious vectors
569                    if  ~(isfield(PlotParam.Vectors,'HideWarning') && isequal(PlotParam.Vectors.HideWarning,1))
570                        test_black=1;
571                    end
572                end
573            end
574            if ~isempty(ivar_FF) %&& ~test_false
575                if test_vec% TODO: deal with FF for structured coordinates
576                    eval(['vec_FF=Data.' Data.ListVarName{ivar_FF} ';']) % flags for false vectors
577                end
578            end
579        end
580    elseif ~isempty(ivar_C) %scalar or image
581        if test_ima
582             msgbox_uvmat('ERROR','attempt to plot two scalar fields or images')
583            return
584        end
585        eval(['A=squeeze(Data.' Data.ListVarName{ivar_C} ');']) ;% scalar represented as color image
586        test_ima=1;
587        if ~isempty(ivar_X) && ~isempty(ivar_Y)% 2D field (with unstructured coordinates or structured ones (then ivar_X and ivar_Y empty)
588            XName=Data.ListVarName{ivar_X};
589            YName=Data.ListVarName{ivar_Y};
590            eval(['AX=Data.' XName ';'])
591            eval(['AY=Data.' YName ';'])
592            [A,AX,AY]=proj_grid(AX',AY',A',[],[],'np>256');  % interpolate on a grid 
593            if isfield(Data,'VarAttribute')
594                if numel(Data.VarAttribute)>=ivar_X & isfield(Data.VarAttribute{ivar_X},'units')
595                    x_units=['(' Data.VarAttribute{ivar_X}.units ')'];
596                end
597                if numel(Data.VarAttribute)>=ivar_Y & isfield(Data.VarAttribute{ivar_Y},'units')
598                    y_units=['(' Data.VarAttribute{ivar_Y}.units ')'];
599                end
600            end       
601        elseif numel(VarType.coord)==2 %structured coordinates
602            XName=Data.ListVarName{VarType.coord(2)};
603            YName=Data.ListVarName{VarType.coord(1)};
604            eval(['AY=Data.' Data.ListVarName{VarType.coord(1)} ';'])
605            eval(['AX=Data.' Data.ListVarName{VarType.coord(2)} ';'])
606            test_interp_X=0; %default, regularly meshed X coordinate
607            test_interp_Y=0; %default, regularly meshed Y coordinate
608            if isfield(Data,'VarAttribute')
609                if numel(Data.VarAttribute)>=VarType.coord(2) & isfield(Data.VarAttribute{VarType.coord(2)},'units')
610                    x_units=['(' Data.VarAttribute{VarType.coord(2)}.units ')'];
611                end
612                if numel(Data.VarAttribute)>=VarType.coord(1) & isfield(Data.VarAttribute{VarType.coord(1)},'units')
613                    y_units=['(' Data.VarAttribute{VarType.coord(1)}.units ')'];
614                end
615            end 
616            if numel(AY)>2
617                DAY=diff(AY);
618                DAY_min=min(DAY);
619                DAY_max=max(DAY);
620                if sign(DAY_min)~=sign(DAY_max);% =1 for increasing values, 0 otherwise
621                     errormsg=['errror in plot_field.m: non monotonic dimension variable # ' ListVarName{VarType.coord(1)} ];
622                      return
623                end
624                test_interp_Y=(DAY_max-DAY_min)> 0.0001*abs(DAY_max);
625            end
626            if numel(AX)>2
627                DAX=diff(AX);
628                DAX_min=min(DAX);
629                DAX_max=max(DAX);
630                if sign(DAX_min)~=sign(DAX_max);% =1 for increasing values, 0 otherwise
631                     errormsg=['errror in plot_field.m: non monotonic dimension variable # ' ListVarName{VarType.coord(2)} ];
632                      return
633                end
634                test_interp_X=(DAX_max-DAX_min)> 0.0001*abs(DAX_max);
635            end 
636            if test_interp_Y         
637                npxy(1)=max([256 floor((AY(end)-AY(1))/DAY_min) floor((AY(end)-AY(1))/DAY_max)]);
638                yI=linspace(AY(1),AY(end),npxy(1));
639                if ~test_interp_X
640                    xI=linspace(AX(1),AX(end),size(A,2));%default
641                    AX=xI;
642                end
643            end
644            if test_interp_X 
645                npxy(1)=max([256 floor((AX(end)-AX(1))/DAX_min) floor((AX(end)-AX(1))/DAX_max)]);
646                xI=linspace(AX(1),AX(end),npxy(2));   
647                if ~test_interp_Y
648                   yI=linspace(AY(1),AY(end),size(A,1));
649                   AY=yI;
650                end
651            end
652            if test_interp_X || test_interp_Y               
653                [AX2D,AY2D]=meshgrid(AX,AY);
654                A=interp2(AX2D,AY2D,double(A),xI,yI');
655            end
656            AX=[AX(1) AX(end)];% keep only the lower and upper bounds for image represnetation
657            AY=[AY(1) AY(end)];
658        else
659            msgbox_uvmat('ERROR','error in plot_field: invalid coordinate definition ')
660            return
661        end
662          x_label=[Data.ListVarName{ivar_X} '(' x_units ')'];
663    end       
664%     if isfield(Data,'VarAttribute')
665%         VarAttribute=Data.VarAttribute;
666%     end   
667end
668
669%%%%%%%%%%%%%%%%%%%%%   image or scalar plot %%%%%%%%%%%%%%%%%%%%%%%%%%
670
671if ~isfield(PlotParam.Scalar,'Contours')
672    PlotParam.Scalar.Contours=0; %default
673end
674PlotParamOut=PlotParam; %default
675if test_ima
676    % distinguish B/W and color images
677    np=size(A);%size of image
678    siz=size(np);
679    %set the color map
680    if siz(2)==2 %for black and white images
681        if ~isfield(PlotParam.Scalar,'AutoScal')
682            PlotParam.Scalar.AutoScal=0;%default
683        end
684        if ~isfield(PlotParam.Scalar,'MinA')
685            PlotParam.Scalar.MinA=[];%default
686        end
687        if ~isfield(PlotParam.Scalar,'MaxA')
688            PlotParam.Scalar.MaxA=[];%default
689        end
690        if isequal(PlotParam.Scalar.AutoScal,0)|isempty(PlotParam.Scalar.MinA)|~isa(PlotParam.Scalar.MinA,'double')  %correct if there is no numerical data in edit box
691            MinA=double(min(min(A)));
692        else
693            MinA=PlotParam.Scalar.MinA; 
694        end;
695        if isequal(PlotParam.Scalar.AutoScal,0)|isempty(PlotParam.Scalar.MaxA)|~isa(PlotParam.Scalar.MaxA,'double') %correct if there is no numerical data in edit box
696            MaxA=double(max(max(A)));
697        else
698            MaxA=PlotParam.Scalar.MaxA; 
699        end;
700        PlotParamOut.Scalar.MinA=MinA;
701        PlotParamOut.Scalar.MaxA=MaxA;
702        axes(haxes)
703        if isequal(PlotParam.Scalar.Contours,1)
704            if ~isempty(hima) & ishandle(hima)
705                delete(hima)
706            end
707            if ~isfield(PlotParam.Scalar,'IncrA')
708                PlotParam.Scalar.IncrA=[];
709            end
710            if isempty(PlotParam.Scalar.IncrA)% | PlotParam.Scalar.AutoScal==0
711                cont=colbartick(MinA,MaxA);
712                intercont=cont(2)-cont(1);%default
713                PlotParamOut.Scalar.IncrA=intercont;
714            else
715               intercont=PlotParam.Scalar.IncrA;
716            end
717            B=A;           
718            abscontmin=intercont*floor(MinA/intercont);
719            abscontmax=intercont*ceil(MaxA/intercont);
720            contmin=intercont*floor(min(min(B))/intercont);
721            contmax=intercont*ceil(max(max(B))/intercont);
722            cont_pos_plus=[0:intercont:contmax];
723            cont_pos_min=[double(contmin):intercont:-intercont];
724            cont_pos=[cont_pos_min cont_pos_plus];
725            sizpx=(AX(end)-AX(1))/(np(2)-1);
726            sizpy=(AY(1)-AY(end))/(np(1)-1);
727            x_cont=[AX(1):sizpx:AX(end)]; % pixel x coordinates for image display
728            y_cont=[AY(1):-sizpy:AY(end)]; % pixel x coordinates for image display
729            txt=ver;%version of Matlab
730            Release=txt(1).Release;
731            relnumb=str2num(Release(3:4));
732            if relnumb >= 14
733                    vec=linspace(0,1,(abscontmax-abscontmin)/intercont);%define a greyscale colormap with steps intercont
734                map=[vec' vec' vec'];
735                colormap(map);
736                [var,hcontour]=contour(x_cont,y_cont,B,cont_pos);       
737                set(hcontour,'Fill','on')
738                set(hcontour,'LineStyle','none')
739                hold on
740            end
741            [var_p,hcontour_p]=contour(x_cont,y_cont,B,cont_pos_plus,'k-');
742            hold on
743            [var_m,hcontour_m]=contour(x_cont,y_cont,B,cont_pos_min,':');
744            set(hcontour_m,'LineColor',[1 1 1])
745            hold off
746            caxis([abscontmin abscontmax])
747            colormap(map);
748        end
749        if ~isequal(PlotParam.Scalar.Contours,1)       
750            % rescale the grey levels with min and max, put a grey scale colorbar
751            if (isfield(PlotParam.Scalar,'BW')& (isequal(PlotParam.Scalar.BW,1))|isa(A,'uint8')| isa(A,'uint16'))%images
752                B=A;
753                vec=linspace(0,1,255);%define a linear greyscale colormap
754                map=[vec' vec' vec'];
755                colormap(map);  %grey scale color map
756            else
757                B=A;
758                colormap('default'); % standard faulse colors for div, vort , scalar fields
759            end
760        end
761    elseif siz(2)==3 %color images
762        axes(haxes)
763        B=uint8(A);
764        MinA=0;
765        MaxA=255;
766    end
767    if ~isequal(PlotParam.Scalar.Contours,1)
768        %interpolate to increase resolution
769        test_interp=1;
770        if max(np) <= 64
771            npxy=8*np;% increase the resolution 8 times
772        elseif max(np) <= 128
773            npxy=4*np;% increase the resolution 4 times
774        elseif max(np) <= 256
775            npxy=2*np;% increase the resolution 2 times
776        else
777            npxy=np;
778            test_interp=0; % no interpolation done
779        end
780        if test_interp==1%if we interpolate   
781            x=linspace(AX(1),AX(2),np(2));
782            y=linspace(AY(1),AY(2),np(1));
783            [X,Y]=meshgrid(x,y);
784            xi=linspace(AX(1),AX(2),npxy(2));
785            yi=linspace(AY(1),AY(2),npxy(1));
786            B = interp2(X,Y,double(B),xi,yi');
787        end       
788        if isempty(hima)
789            tag=get(haxes,'Tag');
790            hima=imagesc(AX,AY,B,[MinA MaxA]);
791            set(hima,'Tag','ima','HitTest','off')
792            set(haxes,'Tag',tag);%preserve the axes tag (removed by image fct !!!)       
793        else
794            set(hima,'CData',B);
795            if MinA<MaxA
796                caxis([MinA MaxA])
797            else
798                caxis([MinA MinA+1])
799            end
800            set(hima,'XData',AX);
801            set(hima,'YData',AY);
802        end
803    end
804    if ~isstruct(AxeData)
805        AxeData=[];
806    end
807    AxeData.A=A;
808    AxeData.AX=[AX(1) AX(end)];
809    AxeData.AY=[AY(1) AY(end)];
810    test_ima=1;
811    %display the colorbar code for B/W images if Poscolorbar not empty
812    if siz(2)==2 & exist('PosColorbar','var')& ~isempty(PosColorbar)
813        if isempty(hcol)|~ishandle(hcol)
814             hcol=colorbar;%create new colorbar
815        end
816        if length(PosColorbar)==4
817                 set(hcol,'Position',PosColorbar)           
818        end
819        YTick=0;%default
820        if MaxA>MinA
821            if isequal(PlotParam.Scalar.Contours,1)
822                colbarlim=get(hcol,'YLim');
823                scale_bar=(colbarlim(2)-colbarlim(1))/(abscontmax-abscontmin);               
824                YTick=cont_pos(2:end-1);
825                YTick_scaled=colbarlim(1)+scale_bar*(YTick-abscontmin);
826                set(hcol,'YTick',YTick_scaled);
827            elseif (isfield(PlotParam.Scalar,'BW') & isequal(PlotParam.Scalar.BW,1))|isa(A,'uint8')| isa(A,'uint16')%images
828                hi=get(hcol,'children');
829                if iscell(hi)%multiple images in colorbar
830                    hi=hi{1};
831                end
832                set(hi,'YData',[MinA MaxA])
833                set(hi,'CData',[1:256]')
834                set(hcol,'YLim',[MinA MaxA])
835                YTick=colbartick(MinA,MaxA);
836                set(hcol,'YTick',YTick)               
837            else
838                hi=get(hcol,'children');
839                if iscell(hi)%multiple images in colorbar
840                    hi=hi{1};
841                end
842                set(hi,'YData',[MinA MaxA])
843                set(hi,'CData',[1:64]')
844                YTick=colbartick(MinA,MaxA);
845                set(hcol,'YLim',[MinA MaxA])
846                set(hcol,'YTick',YTick)
847            end
848            set(hcol,'Yticklabel',num2str(YTick'));
849        end
850    elseif ishandle(hcol)
851        delete(hcol); %erase existing colorbar if not needed
852    end
853else%no scalar plot
854    if ~isempty(hima) && ishandle(hima)
855        delete(hima)
856    end
857    if ~isempty(hcol)&& ishandle(hcol)
858       delete(hcol)
859    end
860    AxeData.A=[];
861    AxeData.AX=[];
862    AxeData.AY=[];
863    PlotParamOut=rmfield(PlotParamOut,'Scalar');
864end
865
866%%%%%%%%%%%%%%%%%%%%%   vector plot %%%%%%%%%%%%%%%%%%%%%%%%%%
867if test_vec
868   %vector scale representation
869    if size(vec_U,1)==numel(vec_Y) && size(vec_U,2)==numel(vec_X); % x, y  coordinate variables
870        [vec_X,vec_Y]=meshgrid(vec_X,vec_Y);
871    end   
872    vec_X=reshape(vec_X,1,numel(vec_X));%reshape in matlab vectors
873    vec_Y=reshape(vec_Y,1,numel(vec_Y));
874    vec_U=reshape(vec_U,1,numel(vec_U));
875    vec_V=reshape(vec_V,1,numel(vec_V));
876    MinMaxX=max(vec_X)-min(vec_X);
877    MinMaxY=max(vec_Y)-min(vec_Y);
878    AxeData.Mesh=sqrt((MinMaxX*MinMaxY)/length(vec_X));
879    if  ~isfield(PlotParam.Vectors,'AutoVec') || isequal(PlotParam.Vectors.AutoVec,0)|| ~isfield(PlotParam.Vectors,'VecScale')...
880               ||isempty(PlotParam.Vectors.VecScale)||~isa(PlotParam.Vectors.VecScale,'double') %automatic vector scale
881        scale=[];
882        if test_false %remove false vectors
883            indsel=find(AxeData.FF==0);%indsel =indices of good vectors
884        else     
885            indsel=[1:numel(vec_X)];%
886        end
887        if isempty(vec_U)
888            scale=1;
889        else
890            if isempty(indsel)
891                MaxU=max(abs(vec_U));
892                MaxV=max(abs(vec_V));
893            else
894                MaxU=max(abs(vec_U(indsel)));
895                MaxV=max(abs(vec_V(indsel)));
896            end
897            scale=MinMaxX/(max(MaxU,MaxV)*50);
898            PlotParam.Vectors.VecScale=scale;%update the 'scale' display
899        end
900    else
901        scale=PlotParam.Vectors.VecScale;  %impose the length of vector representation
902    end;
903   
904    %record vectors on the plotting axes
905    if test_C==0
906        vec_C=ones(1,numel(vec_X));
907    end
908    AxeData.X=vec_X';
909    AxeData.Y=vec_Y';
910    AxeData.U=vec_U';
911    AxeData.V=vec_V';
912    AxeData.C=vec_C';
913    if isempty(ivar_F)
914        AxeData.F=[];
915    else
916        AxeData.F=vec_F';
917    end
918    if isempty(ivar_FF)
919        AxeData.FF=[];
920    else
921        AxeData.FF=vec_FF';
922    end
923%     if isfield(Data,'W')
924%         AxeData.W=Data.W;
925%     end
926   
927    %decimate by a factor 2 in vector mesh(4 in nbre of vectors)
928    if isfield(PlotParam.Vectors,'decimate4')&isequal(PlotParam.Vectors.decimate4,1)
929        diffy=diff(vec_Y); %difference dy=vec_Y(i+1)-vec_Y(i)
930        dy_thresh=max(abs(diffy))/2;
931        ind_jump=find(abs(diffy) > dy_thresh); %indices with diff(vec_Y)> max/2, detect change of line
932        ind_sel=[1:ind_jump(1)];%select the first line
933        for i=2:2:length(ind_jump)-1
934            ind_sel=[ind_sel [ind_jump(i)+1:ind_jump(i+1)]];% select the odd lines
935        end
936        nb_sel=length(ind_sel);
937        ind_sel=ind_sel([1:2:nb_sel]);% take half the points on a line
938        vec_X=vec_X(ind_sel);
939        vec_Y=vec_Y(ind_sel);
940        vec_U=vec_U(ind_sel);
941        vec_V=vec_V(ind_sel);
942        vec_C=vec_C(ind_sel);
943        if ~isempty(ivar_F)
944           vec_F=vec_F(ind_sel);
945        end
946        if ~isempty(ivar_FF)
947           vec_FF=vec_FF(ind_sel);
948        end
949    end
950   
951    %get main level color code
952    [colorlist,col_vec,PlotParamOut.Vectors]=set_col_vec(PlotParam.Vectors,vec_C);
953    % take flags into account: add flag colors to the list of colors
954    sizlist=size(colorlist);
955    nbcolor=sizlist(1);
956    if test_black
957       nbcolor=nbcolor+1;
958       colorlist(nbcolor,:)=[0 0 0]; %add black to the list of colors
959       if ~isempty(ivar_FF)
960            ind_flag=find(vec_F~=1 & vec_FF==0);  %flag warning but not false
961       else
962            ind_flag=find(vec_F~=1);
963       end
964       col_vec(ind_flag)=nbcolor;   
965    end
966    nbcolor=nbcolor+1;
967    if ~isempty(ivar_FF)
968        ind_flag=find(vec_FF~=0);
969        if isfield(PlotParam.Vectors,'HideFalse') && PlotParam.Vectors.HideFalse==1
970            colorlist(nbcolor,:)=[NaN NaN NaN];% no plot of false vectors
971        else
972            colorlist(nbcolor,:)=[1 0 1];% magenta color
973        end
974        col_vec(ind_flag)=nbcolor;
975    end
976    %plot vectors:
977    quiresetn(haxes,vec_X,vec_Y,vec_U,vec_V,scale,colorlist,col_vec);   
978else
979    hvec=findobj(haxes,'Tag','vel');
980    if ~isempty(hvec)
981        delete(hvec);
982    end
983    AxeData.X=[];
984    AxeData.Y=[];
985    AxeData.U=[];
986    AxeData.V=[];
987    AxeData.C=[];
988    AxeData.W=[];
989    AxeData.F=[];
990     AxeData.FF=[];
991    AxeData.Mesh=[];
992    PlotParamOut=rmfield(PlotParamOut,'Vectors');
993end
994if isfield(Data,'Z')
995    AxeData.Z=Data.Z;% A REVOIR
996end
997listfields={'AY','AX','A','X','Y','U','V','C','W','F','FF'};
998listdim={'AY','AX',{'AY','AX'},'nb_vectors','nb_vectors','nb_vectors','nb_vectors','nb_vectors','nb_vectors','nb_vectors','nb_vectors'};
999Role={'coord_y','coord_x','scalar','coord_x','coord_y','vector_x','vector_y','scalar','vector_z','warnflag','errorflag'};
1000ind_select=[];
1001nbvar=0;
1002AxeData.ListVarName={};
1003AxeData.VarDimName={};
1004AxeData.VarAttribute={};
1005for ilist=1:numel(listfields)
1006    eval(['testvar=isfield(AxeData,listfields{ilist}) && ~isempty(AxeData.' listfields{ilist} ');'])
1007    if testvar
1008        nbvar=nbvar+1;
1009        AxeData.ListVarName{nbvar}=listfields{ilist};
1010        AxeData.VarDimName{nbvar}=listdim{ilist};
1011        AxeData.VarAttribute{nbvar}.Role=Role{ilist};
1012    end
1013end
1014
1015% adjust the size of the plot to include the whole field, except if KeepLim=1
1016if ~(exist('KeepLim','var') && isequal(KeepLim,1))  %adjust the graph limits*
1017        test_lim=0;
1018        if test_vec
1019            Xlim=[min(vec_X) max(vec_X)];
1020            Ylim=[min(vec_Y) max(vec_Y)];
1021            test_lim=1;
1022            if test_ima%both background image and vectors coexist, take the wider bound
1023                Xlim(1)=min(AX(1),Xlim(1));
1024                Xlim(2)=max(AX(end),Xlim(2));
1025                Ylim(1)=min(AY(end),Ylim(1));
1026                Ylim(2)=max(AY(1),Ylim(2));
1027            end
1028        elseif test_ima %only image plot
1029            Xlim(1)=min(AX(1),AX(end));
1030            Xlim(2)=max(AX(1),AX(end));
1031            Ylim(1)=min(AY(1),AY(end));
1032            Ylim(2)=max(AY(1),AY(end));
1033            test_lim=1;
1034        end
1035        if test_lim
1036            if Xlim(2)>Xlim(1)
1037                set(haxes,'XLim',Xlim);% set x limits of frame in axes coordinates
1038            end
1039            if Ylim(2)>Ylim(1)
1040                set(haxes,'YLim',Ylim);% set y limits of frame in axes coordinate
1041            end
1042        end
1043end
1044if ~(isfield(PlotParam,'Auto_xy') && isequal(PlotParam.Auto_xy,1))
1045     set(haxes,'DataAspectRatio',[1 1 1])
1046end
1047set(haxes,'YDir','normal')
1048set(get(haxes,'XLabel'),'String',[XName x_units]);
1049set(get(haxes,'YLabel'),'String',[YName y_units]);
1050%---------------------------------------------
1051%function for plotting vectors
1052%------------------------------------------------
1053%INPUT:
1054% haxes: handles of the plotting axes
1055%x,y,u,v: vectors coordinates and vector components to plot, arrays withb the same dimension
1056% scale: scaling factor for vector length representation
1057%colorlist(icolor,:): list of vector colors, dim (nbcolor,3), depending on color #i
1058%col_vec: matlab vector setting the color number #i for each velocity vector
1059function quiresetn(haxes,x,y,u,v,scale,colorlist,col_vec)
1060
1061%define arrows
1062theta=0.5 ;%angle arrow
1063alpha=0.3 ;%length arrow
1064rot=alpha*[cos(theta) -sin(theta); sin(theta) cos(theta)]';
1065%find the existing lines
1066%h=findobj(gca,'Type','Line');% search existing lines in the current axes
1067h=findobj(haxes,'Tag','vel');% search existing lines in the current axes
1068sizh=size(h);
1069set(h,'EraseMode','xor');
1070set(haxes,'NextPlot','replacechildren');
1071%htext=findobj('Tag','scalevec');
1072     
1073%drawnow
1074%create lines (if no lines) or modify them
1075if ~isequal(size(col_vec),size(x))
1076    col_vec=ones(size(x));% case of error in col_vec input
1077end
1078sizlist=size(colorlist);
1079ncolor=sizlist(1);
1080
1081for icolor=1:ncolor
1082    %determine the line positions for each color icolor
1083    ind=find(col_vec==icolor);
1084    xc=x(ind);
1085    yc=y(ind);
1086    uc=u(ind)*scale;
1087    vc=v(ind)*scale;
1088    n=size(xc);
1089    xN=NaN*ones(size(xc));
1090    matx=[xc(:) xc(:)+uc(:) xN(:)]';
1091    matx=reshape(matx,1,3*n(2));
1092    maty=[yc(:) yc(:)+vc(:) xN(:)]';
1093    maty=reshape(maty,1,3*n(2));
1094   
1095    %determine arrow heads
1096    arrowplus=rot*[uc;vc];
1097    arrowmoins=rot'*[uc;vc];
1098    x1=xc+uc-arrowplus(1,:);
1099    x2=xc+uc;
1100    x3=xc+uc-arrowmoins(1,:);
1101    y1=yc+vc-arrowplus(2,:);
1102    y2=yc+vc;
1103    y3=yc+vc-arrowmoins(2,:);
1104    matxar=[x1(:) x2(:) x3(:) xN(:)]';
1105    matxar=reshape(matxar,1,4*n(2));
1106    matyar=[y1(:) y2(:) y3(:) xN(:)]';
1107    matyar=reshape(matyar,1,4*n(2));
1108    %draw the line or modify the existing ones
1109    isn=isnan(colorlist(icolor,:));%test if color NaN
1110    if 2*icolor > sizh(1) %if icolor exceeds the number of existing ones
1111        axes(haxes)
1112        if ~isn(1) %if the vectors are visible color not nan
1113            if n(2)>0
1114                hold on
1115                line(matx,maty,'Color',colorlist(icolor,:),'Tag','vel');% plot new lines
1116                line(matxar,matyar,'Color',colorlist(icolor,:),'Tag','vel');% plot arrows
1117            end
1118        end
1119    else
1120        if isn(1)
1121            delete(h(2*icolor-1))
1122            delete(h(2*icolor))
1123        else
1124            set(h(2*icolor-1),'Xdata',matx,'Ydata',maty);
1125            set(h(2*icolor-1),'Color',colorlist(icolor,:));
1126            set(h(2*icolor-1),'EraseMode','xor');
1127            set(h(2*icolor),'Xdata',matxar,'Ydata',matyar);
1128            set(h(2*icolor),'Color',colorlist(icolor,:));
1129            set(h(2*icolor),'EraseMode','xor');
1130        end
1131     end
1132end
1133if sizh(1) > 2*ncolor
1134    for icolor=ncolor+1 : sizh(1)/2%delete additional objects
1135        delete(h(2*icolor-1))
1136        delete(h(2*icolor))
1137    end
1138end
1139
1140%---------------------------------------
1141%determine tick positions for colorbar
1142%------------------------------------
1143function YTick=colbartick(MinA,MaxA)
1144%determine tick positions with "simple" values between MinA and MaxA
1145YTick=0;%default
1146maxabs=max([abs(MinA) abs(MaxA)]);
1147if maxabs>0
1148ord=10^(floor(log10(maxabs)));%order of magnitude
1149div=1;
1150siz2=1;
1151while siz2<2
1152%     values=[-9:div:9];
1153    values=-10:div:10;
1154    ind=find((ord*values-MaxA)<0 & (ord*values-MinA)>0);%indices of 'values' such that MinA<ord*values<MaxA
1155    siz=size(ind);
1156    if siz(2)<4%if there are less than 4 selected values (4 levels)
1157        values=[-9:0.5*div:9];
1158        ind=find((ord*values-MaxA)<0 & (ord*values-MinA)>0);
1159    end
1160    siz2=size(ind,2);
1161%     siz2=siz(2)
1162    div=div/10;
1163end
1164YTick=ord*values(ind);
1165end
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