source: trunk/src/plot_field.m @ 313

Last change on this file since 313 was 313, checked in by sommeria, 9 years ago

bug reapirs in view of vector colors and grid in civ

File size: 48.1 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_indices.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,htext,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: structure containing the parameters for plotting, as read on the uvmat or view_field GUI (by function 'read_GUI.m').
55%      Contains three substructures:
56%     .Coordinates: coordinate parameters:
57%           .CheckFixLimits:=0 (default) adjust axes limit to the X,Y data, =1: preserves the previous axes limits
58%     .Coordinates.CheckFixEqual: =0 (default):automatic adjustment of the graph, keep 1 to 1 aspect ratio for x and y scales.
59%            --scalars--
60%    .Scalar.MaxA: upper bound (saturation color) for the scalar representation, max(field) by default
61%    .Scalar.MinA: lower bound (saturation) for the scalar representation, min(field) by default
62%    .Scalar.CheckFixScal: =0 (default) lower and upper bounds of the scalar representation set to the min and max of the field
63%               =1 lower and upper bound imposed by .AMax and .MinA
64%    .Scalar.CheckBW= 1 black and white representation imposed, =0 by default.
65%    .Scalar.CheckContours= 1: represent scalars by contour plots (Matlab function 'contour'); =0 by default
66%    .IncrA : contour interval
67%            -- vectors--
68%    .Vectors.VecScale: scale for the vector representation
69%    .Vectors.CheckFixVec: =0 (default) automatic length for vector representation, =1: length set by .VecScale
70%    .Vectors.CheckHideFalse= 0 (default) false vectors represented in magenta, =1: false vectors not represented;
71%    .Vectors.CheckHideWarning= 0 (default) vectors marked by warnflag~=0 marked in black, 1: no warning representation;
72%    .Vectors.CheckDecimate4 = 0 (default) all vectors reprtesented, =1: half of  the vectors represented along each coordinate
73%         -- vector color--
74%    .Vectors.ColorCode= 'black','white': imposed color  (default ='blue')
75%                        'rgb', : three colors red, blue, green depending
76%                        on thresholds .colcode1 and .colcode2 on the input  scalar value (C)
77%                        'brg': like rgb but reversed color order (blue, green, red)
78%                        '64 colors': continuous color from blue to red (multijet)
79%    .Vectors.colcode1 : first threshold for rgb, first value for'continuous'
80%    .Vectors.colcode2 : second threshold for rgb, last value (saturation) for 'continuous'
81%    .Vectors.CheckFixedCbounds;  =0 (default): the bounds on C representation are min and max, =1: they are fixed by .Minc and .MaxC
82%    .Vectors.MinC = imposed minimum of the scalar field used for vector color;
83%    .Vectors.MaxC = imposed maximum of the scalar field used for vector color;
84%
85% PosColorbar: if not empty, display a colorbar for B&W images
86%               imposed position of the colorbar (ex [0.821 0.471 0.019 0.445])
87
88%AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA
89%  Copyright Joel Sommeria, 2008, LEGI / CNRS-UJF-INPG, sommeria@coriolis-legi.org.
90%AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA
91%     This file is part of the toolbox UVMAT.
92%
93%     UVMAT is free software; you can redistribute it and/or modify
94%     it under the terms of the GNU General Public License as published by
95%     the Free Software Foundation; either version 2 of the License, or
96%     (at your option) any later version.
97%
98%     UVMAT is distributed in the hope that it will be useful,
99%     but WITHOUT ANY WARRANTY; without even the implied warranty of
100%     MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
101%     GNU General Public License (file UVMAT/COPYING.txt) for more details.
102%AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA
103
104function [PlotType,PlotParamOut,haxes]= plot_field(Data,haxes,PlotParam,PosColorbar)
105% use htext: handles of the text edit box (uicontrol)
106% introduce PlotParam.Hold: 'on' or 'off' (for curves)
107%default output
108
109if ~exist('PlotParam','var'),PlotParam=[];end;
110if ~exist('PosColorbar','var'),PosColorbar=[];end;
111PlotType='text'; %default
112PlotParamOut=PlotParam;%default
113Coordinates=[];
114if isfield(PlotParam,'Coordinates')
115Coordinates=PlotParam.Coordinates;
116end
117
118%% test axes and figure
119testnewfig=1;%test to create a new figure (default)
120testzoomaxes=0;%test for the existence of a zoom secondary figure attached to the plotting axes
121if exist('haxes','var')
122    if ishandle(haxes)
123        if isequal(get(haxes,'Type'),'axes')
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
135
136% create a new figure and axes if the plotting axes does not exist
137if testnewfig
138    hfig=figure;
139    set(hfig,'Units','normalized')
140    haxes=axes;
141    set(haxes,'position',[0.13,0.2,0.775,0.73])
142     PlotParam.NextPlot='add'; %parameter for plot_profile and plot_his
143else
144    hfig=get(haxes,'parent');
145    set(0,'CurrentFigure',hfig)% the parent of haxes becomes the current figure
146    set(hfig,'CurrentAxes',haxes)%  haxes becomes the current axes of the parent figure
147end
148
149%% check input structure
150if ~isempty(Data)
151    [Data,errormsg]=check_field_structure(Data);
152    if ~isempty(errormsg)
153        msgbox_uvmat('ERROR',['input of plot_field/check_field_structure: ' errormsg])
154        display(['input of plot_field/check_field_structure:: ' errormsg])
155        return
156    end
157
158    %% check the cells of fields :
159    [CellVarIndex,NbDim,VarType,errormsg]=find_field_indices(Data);
160    if ~isempty(errormsg)
161        msgbox_uvmat('ERROR',['input of plot_field/find_field_indices: ' errormsg]);
162        return
163    end
164    index_2D=find(NbDim==2,2);%find 2D fields (at most 2)
165    index_3D=find(NbDim>2,1);
166    if ~isempty(index_3D)
167        if isfield(Data,'NbDim')&& isequal(Data.NbDim,2)
168            index_2D=[index_2D index_3D];
169        else
170        msgbox_uvmat('ERROR','volume plot not implemented yet');
171        return
172        end
173    end
174   
175    index_1D=find(NbDim==1);
176    index_0D=find(NbDim==0);
177   
178    %% set axes properties
179    if isfield(Coordinates,'CheckFixLimits') && isequal(Coordinates.CheckFixLimits,1)  %adjust the graph limits*
180        set(haxes,'XLimMode', 'manual')
181        set(haxes,'YLimMode', 'manual')
182    else
183        set(haxes,'XLimMode', 'auto')
184        set(haxes,'YLimMode', 'auto')
185    end
186    if ~isfield(Coordinates,'CheckFixEqual')&& isfield(Data,'CoordUnit')
187        Coordinates.CheckFixEqual=1;
188    end
189    if isfield(Coordinates,'CheckFixEqual') && isequal(Coordinates.CheckFixEqual,1)
190        set(haxes,'DataAspectRatioMode','manual')
191        set(haxes,'DataAspectRatio',[1 1 1])
192    else
193        set(haxes,'DataAspectRatioMode','auto')%automatic aspect ratio
194    end
195else
196    index_2D=[];
197    index_1D=[];
198    index_0D=[];
199end
200
201%% plot if the input field is valid
202PlotType='text';
203errormsg=[];
204AxeData=get(haxes,'UserData');
205if isempty(index_2D)
206    plot_plane([],[],[],haxes);%removes images or vector plots if any
207else
208    [xx,PlotParamOut,PlotType,errormsg]=plot_plane(Data,CellVarIndex(index_2D),VarType(index_2D),haxes,PlotParam,PosColorbar);
209    AxeData.NbDim=2;
210    if testzoomaxes && isempty(errormsg)
211        [zoomaxes,PlotParamOut,xx,errormsg]=plot_plane(Data,CellVarIndex(index_2D),VarType(index_2D),zoomaxes,PlotParam,PosColorbar);
212        AxeData.ZoomAxes=zoomaxes;
213    end
214    %remove coordinates variables from 1D plot
215    for ivar=1:length(index_1D)
216        if isequal(CellVarIndex{index_1D(ivar)},VarType{index_1D(ivar)}.coord)
217            index_1D(ivar)=0;
218        end
219    end
220    index_1D=find(index_1D);
221end
222
223if isempty(index_1D)
224    plot_profile([],[],[],haxes);%
225else
226    Coordinates=plot_profile(Data,CellVarIndex(index_1D),VarType(index_1D),haxes,Coordinates);%
227    if testzoomaxes
228        [zoomaxes,Coordinates]=plot_profile(Data,CellVarIndex(index_1D),VarType(index_1D),zoomaxes,PlotParam.Coordinates);
229        AxeData.ZoomAxes=zoomaxes;
230    end
231    if ~isempty(Coordinates)
232        PlotParamOut.Coordinates=Coordinates;
233    end
234    PlotType='line';
235end
236htext=findobj(hfig,'Tag','text_display');
237if ~isempty(htext)
238    if isempty(index_0D)
239        set(htext,'String',{''})
240    else
241        [errormsg]=plot_text(Data,CellVarIndex(index_0D),htext);
242    end
243end
244
245if ~isempty(errormsg)
246    msgbox_uvmat('ERROR', errormsg)
247end
248if isfield(PlotParamOut,'MinX')
249    AxeData.RangeX=[PlotParamOut.MinX PlotParamOut.MaxX];%'[PlotParamOut.MinX PlotParamOut.MaxX];
250    AxeData.RangeY=[PlotParamOut.MinY PlotParamOut.MaxY];%[PlotParamOut.MinY PlotParamOut.MaxY]
251end
252
253%% update the parameters stored in AxeData
254set(haxes,'UserData',AxeData)
255
256%% update the plotted field stored in parent figure
257FigData=get(hfig,'UserData');
258tagaxes=get(haxes,'tag');
259if isfield(FigData,tagaxes)
260    eval(['FigData.' tagaxes '=Data;'])
261    set(hfig,'UserData',FigData)
262end
263
264%-------------------------------------------------------------------
265function errormsg=plot_text(FieldData,CellVarIndex,htext)
266%-------------------------------------------------------------------
267errormsg=[];
268txt_cell={};
269for icell=1:length(CellVarIndex)
270    VarIndex=CellVarIndex{icell};%  indices of the selected variables in the list data.ListVarName
271    for ivar=1:length(VarIndex)
272         VarName=FieldData.ListVarName{VarIndex(ivar)};
273         VarValue=FieldData.(VarName);
274         if size(VarValue,1)~=1
275             VarValue=VarValue';
276         end
277         txt=[VarName '=' num2str(VarValue)];
278         txt_cell=[txt_cell;{txt}];
279    end
280end
281set(htext,'String',txt_cell)
282set(htext,'UserData',txt_cell)% for storage during mouse display
283
284%-------------------------------------------------------------------
285function CoordinatesOut=plot_profile(data,CellVarIndex,VarType,haxes,Coordinates)
286%-------------------------------------------------------------------
287
288if ~exist('Coordinates','var')
289    Coordinates=[];
290end
291CoordinatesOut=Coordinates; %default
292hfig=get(haxes,'parent');
293%suppress existing plot isf empty data
294if isempty(data)
295    hplot=findobj(haxes,'tag','plot_line');
296    if ~isempty(hplot)
297        delete(hplot)
298    end
299    hlegend=findobj(hfig,'tag','legend');
300    if ~isempty(hlegend)
301        delete(hlegend)
302    end
303    return
304end
305
306ColorOrder=[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];
307set(haxes,'ColorOrder',ColorOrder)
308if isfield(Coordinates,'NextPlot')
309    set(haxes,'NextPlot',Coordinates.NextPlot)
310end
311% adjust the size of the plot to include the whole field,
312
313legend_str={};
314
315%% prepare the string for plot command
316plotstr='hhh=plot(';
317coord_x_index=[];
318xtitle='';
319ytitle='';
320test_newplot=1;
321
322%loop on input  fields
323for icell=1:length(CellVarIndex)
324    VarIndex=CellVarIndex{icell};%  indices of the selected variables in the list data.ListVarName
325    if ~isempty(VarType{icell}.coord_x)
326        coord_x_index=VarType{icell}.coord_x;
327    else
328        coord_x_index_cell=VarType{icell}.coord(1);
329        if isequal(coord_x_index_cell,0)
330             continue  % the cell has no abscissa, skip it
331        end
332        coord_x_index=coord_x_index_cell;
333    end
334    testplot=ones(size(data.ListVarName));%default test for plotted variables
335    xtitle=[xtitle data.ListVarName{coord_x_index}];
336    eval(['coord_x{icell}=data.' data.ListVarName{coord_x_index} ';']);%coordinate variable set as coord_x
337    if isfield(data,'VarAttribute')&& numel(data.VarAttribute)>=coord_x_index && isfield(data.VarAttribute{coord_x_index},'units')
338        xtitle=[xtitle '(' data.VarAttribute{coord_x_index}.units '), '];
339    else
340        xtitle=[xtitle ', '];
341    end
342    eval(['coord_x{icell}=data.' data.ListVarName{coord_x_index} ';']);%coordinate variable set as coord_x
343    XMin(icell)=min(coord_x{icell});
344    XMax(icell)=max(coord_x{icell});
345    testplot(coord_x_index)=0;
346    if ~isempty(VarType{icell}.ancillary')
347        testplot(VarType{icell}.ancillary)=0;
348    end
349    if ~isempty(VarType{icell}.warnflag')
350        testplot(VarType{icell}.warnflag)=0;
351    end
352    if isfield(data,'VarAttribute')
353        VarAttribute=data.VarAttribute;
354        for ivar=1:length(VarIndex)
355            if length(VarAttribute)>=VarIndex(ivar) && isfield(VarAttribute{VarIndex(ivar)},'long_name')
356                plotname{VarIndex(ivar)}=VarAttribute{VarIndex(ivar)}.long_name;
357            else
358                plotname{VarIndex(ivar)}=data.ListVarName{VarIndex(ivar)};%name for display in plot A METTRE
359            end
360        end
361    end
362    if ~isempty(VarType{icell}.discrete')
363        charplot_0='''+''';
364    else
365        charplot_0='''-''';
366    end
367    YMin=0;
368    YMax=1;%default
369    for ivar=1:length(VarIndex)
370        if testplot(VarIndex(ivar))
371            VarName=data.ListVarName{VarIndex(ivar)};
372            ytitle=[ytitle VarName];
373            if isfield(data,'VarAttribute')&& numel(data.VarAttribute)>=VarIndex(ivar) && isfield(data.VarAttribute{VarIndex(ivar)},'units')
374                ytitle=[ytitle '(' data.VarAttribute{VarIndex(ivar)}.units '), '];
375            else
376                ytitle=[ytitle ', '];
377            end
378            eval(['data.' VarName '=squeeze(data.' VarName ');'])
379            %eval(['min(data.' VarName ')'])
380            YMin(ivar)=min(min(data.(VarName)));
381            YMax(ivar)=max(max(data.(VarName)));
382            plotstr=[plotstr 'coord_x{' num2str(icell) '},data.' VarName ',' charplot_0 ','];
383            eval(['nbcomponent2=size(data.' VarName ',2);']);
384            eval(['nbcomponent1=size(data.' VarName ',1);']);
385            if numel(coord_x{icell})==2
386                coord_x{icell}=linspace(coord_x{icell}(1),coord_x{icell}(2),nbcomponent1);
387            end
388            if nbcomponent1==1|| nbcomponent2==1
389                legend_str=[legend_str {VarName}]; %variable with one component
390            else  %variable with severals  components
391                for ic=1:min(nbcomponent1,nbcomponent2)
392                    legend_str=[legend_str [VarName '_' num2str(ic)]]; %variable with severals  components
393                end                                                   % labeled by their index (e.g. color component)
394            end
395        end
396    end
397    YMin_cell(icell)=min(YMin);
398    YMax_cell(icell)=max(YMax);
399end
400
401%% activate the plot
402if test_newplot && ~isequal(plotstr,'hhh=plot(') 
403    set(hfig,'CurrentAxes',haxes)
404    tag=get(haxes,'tag');   
405    %%%
406    plotstr=[plotstr '''tag'',''plot_line'');'];   
407    eval(plotstr)                  %execute plot (instruction  plotstr)
408    %%%
409    set(haxes,'tag',tag)
410    grid(haxes, 'on')
411    hxlabel=xlabel(xtitle(1:end-2));% xlabel (removes ', ' at the end)
412    set(hxlabel,'Interpreter','none')% desable tex interpreter
413    if length(legend_str)>=1
414        hylabel=ylabel(ytitle(1:end-2));% ylabel (removes ', ' at the end)
415        set(hylabel,'Interpreter','none')% desable tex interpreter
416    end
417    if ~isempty(legend_str)
418        hlegend=findobj(hfig,'Tag','legend');
419        if isempty(hlegend)
420            hlegend=legend(legend_str);
421            txt=ver('MATLAB');
422            Release=txt.Release;
423            relnumb=str2double(Release(3:4));% should be changed to Version for better compatibility
424            if relnumb >= 14
425                set(hlegend,'Interpreter','none')% desable tex interpreter
426            end
427        else
428            legend_old=get(hlegend,'String');
429            if isequal(size(legend_old,1),size(legend_str,1))&&~isequal(legend_old,legend_str)
430                set(hlegend,'String',[legend_old legend_str]);
431            end
432        end
433    end
434    title_str='';
435    if isfield(data,'filename')
436       [Path, title_str, ext]=fileparts(data.filename);
437       title_str=[title_str ext];
438    end
439    if isfield(data,'Action')
440        if ~isequal(title_str,'')
441            title_str=[title_str ', '];
442        end
443        title_str=[title_str data.Action];
444    end
445    htitle=title(title_str);
446    txt=ver('MATLAB');
447    Release=txt.Release;
448    relnumb=str2double(Release(3:4));
449    if relnumb >= 14
450        set(htitle,'Interpreter','none')% desable tex interpreter
451    end
452end
453
454%% determine axes bounds
455%CoordinatesOut.RangeX=[min(XMin) max(XMax)];
456%CoordinatesOut.RangeY=[min(YMin_cell) max(YMax_cell)];
457fix_lim=isfield(Coordinates,'CheckFixLimits') && Coordinates.CheckFixLimits;
458if fix_lim
459    if ~isfield(Coordinates,'MinX')||~isfield(Coordinates,'MaxX')||~isfield(Coordinates,'MinY')||~isfield(Coordinates,'MaxY')
460        fix_lim=0; %free limits if lits are not set,
461    end
462end
463if fix_lim
464    set(haxes,'XLim',[Coordinates.MinX Coordinates.MaxX])
465    set(haxes,'YLim',[Coordinates.MinY Coordinates.MaxY])
466else   
467    CoordinatesOut.MinX=min(XMin);
468    CoordinatesOut.MaxX=max(XMax);
469    CoordinatesOut.MinY=min(YMin_cell);
470    CoordinatesOut.MaxY=max(YMax_cell);
471end
472
473%-------------------------------------------------------------------
474function [haxes,PlotParamOut,PlotType,errormsg]=plot_plane(Data,CellVarIndex,VarTypeCell,haxes,PlotParam,PosColorbar)
475%-------------------------------------------------------------------
476grid(haxes, 'off')
477%default plotting parameters
478PlotType='plane';%default
479if ~exist('PlotParam','var')
480    PlotParam=[];
481end
482if ~isfield(PlotParam,'Scalar')
483    PlotParam.Scalar=[];
484end
485if ~isfield(PlotParam,'Vectors')
486    PlotParam.Vectors=[];
487end
488
489PlotParamOut=PlotParam;%default
490hfig=get(haxes,'parent');
491hcol=findobj(hfig,'Tag','Colorbar'); %look for colorbar axes
492hima=findobj(haxes,'Tag','ima');% search existing image in the current axes
493errormsg='';%default
494test_ima=0; %default: test for image or map plot
495test_vec=0; %default: test for vector plots
496test_black=0;
497test_false=0;
498test_C=0;
499XName='';
500x_units='';
501YName='';
502y_units='';
503for icell=1:length(CellVarIndex) % length(CellVarIndex) =1 or 2 (from the calling function)
504    VarType=VarTypeCell{icell};
505    ivar_X=VarType.coord_x; % defines (unique) index for the variable representing unstructured x coordinate (default =[])
506    ivar_Y=VarType.coord_y; % defines (unique)index for the variable representing unstructured y coordinate (default =[])
507    ivar_U=VarType.vector_x; % defines (unique) index for the variable representing x vector component (default =[])
508    ivar_V=VarType.vector_y; % defines (unique) index for the variable representing y vector component (default =[])
509    ivar_C=[VarType.scalar VarType.image VarType.color VarType.ancillary]; %defines index (indices) for the scalar or ancillary fields
510    if numel(ivar_C)>1
511        errormsg= 'error in plot_field: too many scalar inputs';
512        return
513    end
514    ivar_F=VarType.warnflag; %defines index (unique) for warning flag variable
515    ivar_FF=VarType.errorflag; %defines index (unique) for error flag variable
516    ind_coord=find(VarType.coord);
517    if numel(ind_coord)==2
518        VarType.coord=VarType.coord(ind_coord);
519    end
520    if ~isempty(ivar_U) && ~isempty(ivar_V)% vector components detected
521        if test_vec
522            errormsg='error in plot_field: attempt to plot two vector fields';
523            return
524        else
525            test_vec=1;
526            vec_U=Data.(Data.ListVarName{ivar_U});
527            vec_V=Data.(Data.ListVarName{ivar_V});
528            if ~isempty(ivar_X) && ~isempty(ivar_Y)% 2D field (with unstructured coordinates or structured ones (then ivar_X and ivar_Y empty)
529                XName=Data.ListVarName{ivar_X};
530                YName=Data.ListVarName{ivar_Y};
531                eval(['vec_X=reshape(Data.' XName ',[],1);'])
532                eval(['vec_Y=reshape(Data.' YName ',[],1);'])
533            elseif numel(VarType.coord)==2 && ~isequal(VarType.coord,[0 0]);%coordinates defines by dimension variables
534                eval(['y=Data.' Data.ListVarName{VarType.coord(1)} ';'])
535                eval(['x=Data.' Data.ListVarName{VarType.coord(2)} ';'])
536                if numel(y)==2 % y defined by first and last values on aregular mesh
537                    y=linspace(y(1),y(2),size(vec_U,1));
538                end
539                if numel(x)==2 % y defined by first and last values on aregular mesh
540                    x=linspace(x(1),x(2),size(vec_U,2));
541                end
542                [vec_X,vec_Y]=meshgrid(x,y); 
543            else
544                errormsg='error in plot_field: invalid coordinate definition for vector field';
545                return
546            end
547            if ~isempty(ivar_C)
548                 eval(['vec_C=Data.' Data.ListVarName{ivar_C} ';']) ;
549                 vec_C=reshape(vec_C,1,numel(vec_C));
550                 test_C=1;
551            end
552            if ~isempty(ivar_F)%~(isfield(PlotParam.Vectors,'HideWarning')&& isequal(PlotParam.Vectors.HideWarning,1))
553                if test_vec
554                    vec_F=Data.(Data.ListVarName{ivar_F}); % warning flags for  dubious vectors
555                    if  ~(isfield(PlotParam.Vectors,'CheckHideWarning') && isequal(PlotParam.Vectors.CheckHideWarning,1))
556                        test_black=1;
557                    end
558                end
559            end
560            if ~isempty(ivar_FF) %&& ~test_false
561                if test_vec% TODO: deal with FF for structured coordinates
562                    vec_FF=Data.(Data.ListVarName{ivar_FF}); % flags for false vectors
563                end
564            end
565        end
566    elseif ~isempty(ivar_C) %scalar or image
567        if test_ima
568             errormsg='attempt to plot two scalar fields or images';
569            return
570        end
571        eval(['A=squeeze(Data.' Data.ListVarName{ivar_C} ');']) ;% scalar represented as color image
572        test_ima=1;
573        if ~isempty(ivar_X) && ~isempty(ivar_Y)% 2D field (with unstructured coordinates  (then ivar_X and ivar_Y not empty)
574            A=reshape(A,1,[]);
575            XName=Data.ListVarName{ivar_X};
576            YName=Data.ListVarName{ivar_Y};
577            eval(['AX=reshape(Data.' XName ',1,[]);'])
578            eval(['AY=reshape(Data.' YName ',1,[]);'])
579            [A,AX,AY]=proj_grid(AX',AY',A',[],[],'np>256');  % interpolate on a grid 
580            if isfield(Data,'VarAttribute')
581                if numel(Data.VarAttribute)>=ivar_X && isfield(Data.VarAttribute{ivar_X},'units')
582                    x_units=[' (' Data.VarAttribute{ivar_X}.units ')'];
583                end
584                if numel(Data.VarAttribute)>=ivar_Y && isfield(Data.VarAttribute{ivar_Y},'units')
585                    y_units=[' (' Data.VarAttribute{ivar_Y}.units ')'];
586                end
587            end       
588        elseif numel(VarType.coord)==2 %structured coordinates
589            XName=Data.ListVarName{VarType.coord(2)};
590            YName=Data.ListVarName{VarType.coord(1)};
591            eval(['AY=Data.' Data.ListVarName{VarType.coord(1)} ';'])
592            eval(['AX=Data.' Data.ListVarName{VarType.coord(2)} ';'])
593            test_interp_X=0; %default, regularly meshed X coordinate
594            test_interp_Y=0; %default, regularly meshed Y coordinate
595            if isfield(Data,'VarAttribute')
596                if numel(Data.VarAttribute)>=VarType.coord(2) && isfield(Data.VarAttribute{VarType.coord(2)},'units')
597                    x_units=Data.VarAttribute{VarType.coord(2)}.units;
598                end
599                if numel(Data.VarAttribute)>=VarType.coord(1) && isfield(Data.VarAttribute{VarType.coord(1)},'units')
600                    y_units=Data.VarAttribute{VarType.coord(1)}.units;
601                end
602            end 
603            if numel(AY)>2
604                DAY=diff(AY);
605                DAY_min=min(DAY);
606                DAY_max=max(DAY);
607                if sign(DAY_min)~=sign(DAY_max);% =1 for increasing values, 0 otherwise
608                     errormsg=['errror in plot_field.m: non monotonic dimension variable ' Data.ListVarName{VarType.coord(1)} ];
609                      return
610                end
611                test_interp_Y=(DAY_max-DAY_min)> 0.0001*abs(DAY_max);
612            end
613            if numel(AX)>2
614                DAX=diff(AX);
615                DAX_min=min(DAX);
616                DAX_max=max(DAX);
617                if sign(DAX_min)~=sign(DAX_max);% =1 for increasing values, 0 otherwise
618                     errormsg=['errror in plot_field.m: non monotonic dimension variable ' Data.ListVarName{VarType.coord(2)} ];
619                      return
620                end
621                test_interp_X=(DAX_max-DAX_min)> 0.0001*abs(DAX_max);
622            end 
623            if test_interp_Y         
624                npxy(1)=max([256 floor((AY(end)-AY(1))/DAY_min) floor((AY(end)-AY(1))/DAY_max)]);
625                yI=linspace(AY(1),AY(end),npxy(1));
626                if ~test_interp_X
627                    xI=linspace(AX(1),AX(end),size(A,2));%default
628                    AX=xI;
629                end
630            end
631            if test_interp_X 
632                npxy(2)=max([256 floor((AX(end)-AX(1))/DAX_min) floor((AX(end)-AX(1))/DAX_max)]);
633                xI=linspace(AX(1),AX(end),npxy(2));   
634                if ~test_interp_Y
635                   yI=linspace(AY(1),AY(end),size(A,1));
636                   AY=yI;
637                end
638            end
639            if test_interp_X || test_interp_Y               
640                [AX2D,AY2D]=meshgrid(AX,AY);
641                A=interp2(AX2D,AY2D,double(A),xI,yI');
642            end
643            AX=[AX(1) AX(end)];% keep only the lower and upper bounds for image represnetation
644            AY=[AY(1) AY(end)];
645        else
646            errormsg='error in plot_field: invalid coordinate definition ';
647            return
648        end
649    end
650    %define coordinates as CoordUnits, if not defined as attribute for each variable
651    if isfield(Data,'CoordUnit')
652        if isempty(x_units)
653            x_units=Data.CoordUnit;
654        end
655        if isempty(y_units)
656            y_units=Data.CoordUnit;
657        end
658    end
659       
660end
661
662%%   image or scalar plot %%%%%%%%%%%%%%%%%%%%%%%%%%
663
664if isfield(PlotParam.Scalar,'ListContour')
665    CheckContour=strcmp(PlotParam.Scalar.ListContour{1},'contours');
666else
667    CheckContour=0; %default
668end
669PlotParamOut=PlotParam; %default
670if test_ima
671    % distinguish B/W and color images
672    np=size(A);%size of image
673    siz=numel(np);
674    if siz>3
675       errormsg=['unrecognized scalar type: ' num2str(siz) ' dimensions'];
676            return
677    end
678    if siz==3
679        if np(3)==1
680            siz=2;%B W image
681        elseif np(3)==3
682            siz=3;%color image
683        else
684            errormsg=['unrecognized scalar type in plot_field: considered as 2D field with ' num2str(np(3)) ' color components'];
685            return
686        end
687    end
688   
689    %set the color map
690    if isfield(PlotParam.Scalar,'CheckBW')
691        BW=PlotParam.Scalar.CheckBW; %test for BW gray scale images
692    else
693        BW=(siz==2) && (isa(A,'uint8')|| isa(A,'uint16'));% non color images represented in gray scale by default
694    end
695   
696    %case of grey level images or contour plot
697    if siz==2
698        if ~isfield(PlotParam.Scalar,'CheckFixScalar')
699            PlotParam.Scalar.CheckFixScalar=0;%default
700        end
701        if ~isfield(PlotParam.Scalar,'MinA')
702            PlotParam.Scalar.MinA=[];%default
703        end
704        if ~isfield(PlotParam.Scalar,'MaxA')
705            PlotParam.Scalar.MaxA=[];%default
706        end
707        Aline=[];
708        if ~PlotParam.Scalar.CheckFixScalar ||isempty(PlotParam.Scalar.MinA)||~isa(PlotParam.Scalar.MinA,'double')  %correct if there is no numerical data in edit box
709            Aline=reshape(A,1,[]);
710            Aline=Aline(~isnan(A));
711            if isempty(Aline)
712                 errormsg='NaN input scalar or image in plot_field';
713                return
714            end
715            MinA=double(min(Aline));
716        else
717            MinA=PlotParam.Scalar.MinA;
718        end;
719        if ~PlotParam.Scalar.CheckFixScalar||isempty(PlotParam.Scalar.MaxA)||~isa(PlotParam.Scalar.MaxA,'double') %correct if there is no numerical data in edit box
720            if isempty(Aline)
721               Aline=reshape(A,1,[]);
722               Aline=Aline(~isnan(A));
723               if isempty(Aline)
724                 errormsg='NaN input scalar or image in plot_field';
725                return
726               end
727            end
728            MaxA=double(max(Aline));
729        else
730            MaxA=PlotParam.Scalar.MaxA; 
731        end;
732        PlotParamOut.Scalar.MinA=MinA;
733        PlotParamOut.Scalar.MaxA=MaxA;
734        % case of contour plot
735        if CheckContour
736            if ~isempty(hima) && ishandle(hima)
737                delete(hima)
738            end
739            if ~isfield(PlotParam.Scalar,'IncrA')
740                PlotParam.Scalar.IncrA=NaN;
741            end
742            if isempty(PlotParam.Scalar.IncrA)|| isnan(PlotParam.Scalar.IncrA)% | PlotParam.Scalar.AutoScal==0
743                cont=colbartick(MinA,MaxA);
744                intercont=cont(2)-cont(1);%default
745                PlotParamOut.Scalar.IncrA=intercont;
746            else
747               intercont=PlotParam.Scalar.IncrA;
748            end
749            B=A;           
750            abscontmin=intercont*floor(MinA/intercont);
751            abscontmax=intercont*ceil(MaxA/intercont);
752            contmin=intercont*floor(min(min(B))/intercont);
753            contmax=intercont*ceil(max(max(B))/intercont);
754            cont_pos_plus=0:intercont:contmax;
755            cont_pos_min=double(contmin):intercont:-intercont;
756            cont_pos=[cont_pos_min cont_pos_plus];
757            sizpx=(AX(end)-AX(1))/(np(2)-1);
758            sizpy=(AY(1)-AY(end))/(np(1)-1);
759            x_cont=AX(1):sizpx:AX(end); % pixel x coordinates for image display
760            y_cont=AY(1):-sizpy:AY(end); % pixel x coordinates for image display
761           % axes(haxes)% set the input axes handle as current axis
762    txt=ver('MATLAB');
763    Release=txt.Release;
764            relnumb=str2double(Release(3:4));
765            if relnumb >= 14
766                    vec=linspace(0,1,(abscontmax-abscontmin)/intercont);%define a greyscale colormap with steps intercont
767                map=[vec' vec' vec'];
768                colormap(map);
769                [var,hcontour]=contour(x_cont,y_cont,B,cont_pos);       
770                set(hcontour,'Fill','on')
771                set(hcontour,'LineStyle','none')
772                hold on
773            end
774            [var_p,hcontour_p]=contour(x_cont,y_cont,B,cont_pos_plus,'k-');
775            hold on
776            [var_m,hcontour_m]=contour(x_cont,y_cont,B,cont_pos_min,':');
777            set(hcontour_m,'LineColor',[1 1 1])
778            hold off
779            caxis([abscontmin abscontmax])
780            colormap(map);
781        end
782       
783        % set  colormap for  image display
784        if ~CheckContour
785            % rescale the grey levels with min and max, put a grey scale colorbar
786            B=A;
787            if BW
788                vec=linspace(0,1,255);%define a linear greyscale colormap
789                map=[vec' vec' vec'];
790                colormap(map);  %grey scale color map
791            else
792                colormap('default'); % standard faulse colors for div, vort , scalar fields
793            end
794        end
795       
796    % case of color images
797    else
798        if BW
799            B=uint16(sum(A,3));
800        else
801            B=uint8(A);
802        end
803        MinA=0;
804        MaxA=255;
805    end
806   
807    % display usual image
808    if ~CheckContour     
809        % interpolate field to increase resolution of image display
810        test_interp=1;
811        if max(np) <= 64
812            npxy=8*np;% increase the resolution 8 times
813        elseif max(np) <= 128
814            npxy=4*np;% increase the resolution 4 times
815        elseif max(np) <= 256
816            npxy=2*np;% increase the resolution 2 times
817        else
818            npxy=np;
819            test_interp=0; % no interpolation done
820        end
821        if test_interp==1%if we interpolate   
822            x=linspace(AX(1),AX(2),np(2));
823            y=linspace(AY(1),AY(2),np(1));
824            [X,Y]=meshgrid(x,y);
825            xi=linspace(AX(1),AX(2),npxy(2));
826            yi=linspace(AY(1),AY(2),npxy(1));
827            B = interp2(X,Y,double(B),xi,yi');
828        end           
829        % create new image if there  no image handle is found
830        if isempty(hima)
831            tag=get(haxes,'Tag');
832            if MinA<MaxA
833                hima=imagesc(AX,AY,B,[MinA MaxA]);
834            else % to deal with uniform field
835                hima=imagesc(AX,AY,B,[MaxA-1 MaxA]);
836            end
837            set(hima,'Tag','ima','HitTest','off')
838            set(haxes,'Tag',tag);%preserve the axes tag (removed by image fct !!!)     
839            uistack(hima, 'bottom')
840        % update an existing image
841        else
842            set(hima,'CData',B);
843            if MinA<MaxA
844                set(haxes,'CLim',[MinA MaxA])
845            else
846                set(haxes,'CLim',[MinA MaxA+1])
847            end
848            set(hima,'XData',AX);
849            set(hima,'YData',AY);
850        end
851    end
852    test_ima=1;
853   
854    %display the colorbar code for B/W images if Poscolorbar not empty
855    if siz==2 && exist('PosColorbar','var')&& ~isempty(PosColorbar)
856        if isempty(hcol)||~ishandle(hcol)
857             hcol=colorbar;%create new colorbar
858        end
859        if length(PosColorbar)==4
860                 set(hcol,'Position',PosColorbar)           
861        end
862        %YTick=0;%default
863        if MaxA>MinA
864            if CheckContour
865                colbarlim=get(hcol,'YLim');
866                scale_bar=(colbarlim(2)-colbarlim(1))/(abscontmax-abscontmin);               
867                YTick=cont_pos(2:end-1);
868                YTick_scaled=colbarlim(1)+scale_bar*(YTick-abscontmin);
869                set(hcol,'YTick',YTick_scaled);
870            elseif (isfield(PlotParam.Scalar,'CheckBW') && isequal(PlotParam.Scalar.CheckBW,1))||isa(A,'uint8')|| isa(A,'uint16')%images
871                hi=get(hcol,'children');
872                if iscell(hi)%multiple images in colorbar
873                    hi=hi{1};
874                end
875                set(hi,'YData',[MinA MaxA])
876                set(hi,'CData',(1:256)')
877                set(hcol,'YLim',[MinA MaxA])
878                YTick=colbartick(MinA,MaxA);
879                set(hcol,'YTick',YTick)               
880            else
881                hi=get(hcol,'children');
882                if iscell(hi)%multiple images in colorbar
883                    hi=hi{1};
884                end
885                set(hi,'YData',[MinA MaxA])
886                set(hi,'CData',(1:64)')
887                YTick=colbartick(MinA,MaxA);
888                set(hcol,'YLim',[MinA MaxA])
889                set(hcol,'YTick',YTick)
890            end
891            set(hcol,'Yticklabel',num2str(YTick'));
892        end
893    elseif ishandle(hcol)
894        delete(hcol); %erase existing colorbar if not needed
895    end
896else%no scalar plot
897    if ~isempty(hima) && ishandle(hima)
898        delete(hima)
899    end
900    if ~isempty(hcol)&& ishandle(hcol)
901       delete(hcol)
902    end
903    PlotParamOut=rmfield(PlotParamOut,'Scalar');
904end
905
906%%   vector plot %%%%%%%%%%%%%%%%%%%%%%%%%%
907if test_vec
908   %vector scale representation
909    if size(vec_U,1)==numel(vec_Y) && size(vec_U,2)==numel(vec_X); % x, y  coordinate variables
910        [vec_X,vec_Y]=meshgrid(vec_X,vec_Y);
911    end   
912    vec_X=reshape(vec_X,1,numel(vec_X));%reshape in matlab vectors
913    vec_Y=reshape(vec_Y,1,numel(vec_Y));
914    vec_U=reshape(vec_U,1,numel(vec_U));
915    vec_V=reshape(vec_V,1,numel(vec_V));
916     MinMaxX=max(vec_X)-min(vec_X);
917    if  isfield(PlotParam.Vectors,'CheckFixVectors') && isequal(PlotParam.Vectors.CheckFixVectors,1)&& isfield(PlotParam.Vectors,'VecScale')...
918               &&~isempty(PlotParam.Vectors.VecScale) && isa(PlotParam.Vectors.VecScale,'double') %fixed vector scale
919        scale=PlotParam.Vectors.VecScale;  %impose the length of vector representation
920    else
921        if ~test_false %remove false vectors   
922            indsel=1:numel(vec_X);%
923        end
924        if isempty(vec_U)
925            scale=1;
926        else
927            if isempty(indsel)
928                MaxU=max(abs(vec_U));
929                MaxV=max(abs(vec_V));
930            else
931                MaxU=max(abs(vec_U(indsel)));
932                MaxV=max(abs(vec_V(indsel)));
933            end
934            scale=MinMaxX/(max(MaxU,MaxV)*50);
935            PlotParam.Vectors.VecScale=scale;%update the 'scale' display
936        end
937    end
938   
939    %record vectors on the plotting axes
940    if test_C==0
941        vec_C=ones(1,numel(vec_X));
942    end
943   
944    %decimate by a factor 2 in vector mesh(4 in nbre of vectors)
945    if isfield(PlotParam.Vectors,'CheckDecimate4') && PlotParam.Vectors.CheckDecimate4
946        diffy=diff(vec_Y); %difference dy=vec_Y(i+1)-vec_Y(i)
947        dy_thresh=max(abs(diffy))/2;
948        ind_jump=find(abs(diffy) > dy_thresh); %indices with diff(vec_Y)> max/2, detect change of line
949        ind_sel=1:ind_jump(1);%select the first line
950        for i=2:2:length(ind_jump)-1
951            ind_sel=[ind_sel (ind_jump(i)+1:ind_jump(i+1))];% select the odd lines
952        end
953        nb_sel=length(ind_sel);
954        ind_sel=ind_sel(1:2:nb_sel);% take half the points on a line
955        vec_X=vec_X(ind_sel);
956        vec_Y=vec_Y(ind_sel);
957        vec_U=vec_U(ind_sel);
958        vec_V=vec_V(ind_sel);
959        vec_C=vec_C(ind_sel);
960        if ~isempty(ivar_F)
961           vec_F=vec_F(ind_sel);
962        end
963        if ~isempty(ivar_FF)
964           vec_FF=vec_FF(ind_sel);
965        end
966    end
967   
968    %get main level color code
969    [colorlist,col_vec,PlotParamOut.Vectors]=set_col_vec(PlotParam.Vectors,vec_C);
970   
971    % take flags into account: add flag colors to the list of colors
972    sizlist=size(colorlist);
973    nbcolor=sizlist(1);
974    if test_black
975       nbcolor=nbcolor+1;
976       colorlist(nbcolor,:)=[0 0 0]; %add black to the list of colors
977       if ~isempty(ivar_FF)
978          %  ind_flag=find(vec_F~=1 & vec_F~=0 & vec_FF==0);  %flag warning but not false
979            col_vec(vec_F~=1 & vec_F~=0 & vec_FF==0)=nbcolor;
980       else
981            col_vec(vec_F~=1 & vec_F~=0)=nbcolor;
982       end
983    end
984    nbcolor=nbcolor+1;
985    if ~isempty(ivar_FF)
986        if isfield(PlotParam.Vectors,'CheckHideFalse') && PlotParam.Vectors.CheckHideFalse==1
987            colorlist(nbcolor,:)=[NaN NaN NaN];% no plot of false vectors
988        else
989            colorlist(nbcolor,:)=[1 0 1];% magenta color
990        end
991        col_vec(vec_FF~=0)=nbcolor;
992    end
993    %plot vectors:
994    quiresetn(haxes,vec_X,vec_Y,vec_U,vec_V,scale,colorlist,col_vec);   
995
996else
997    hvec=findobj(haxes,'Tag','vel');
998    if ~isempty(hvec)
999        delete(hvec);
1000    end
1001    PlotParamOut=rmfield(PlotParamOut,'Vectors');
1002end
1003
1004%listfields={'AY','AX','A','X','Y','U','V','C','W','F','FF'};
1005%listdim={'AY','AX',{'AY','AX'},'nb_vectors','nb_vectors','nb_vectors','nb_vectors','nb_vectors','nb_vectors','nb_vectors','nb_vectors'};
1006%Role={'coord_y','coord_x','scalar','coord_x','coord_y','vector_x','vector_y','scalar','vector_z','warnflag','errorflag'};
1007%ind_select=[];
1008nbvar=0;
1009
1010%store the coordinate extrema occupied by the field
1011if ~isempty(Data)
1012    XMin=[];
1013    XMax=[];
1014    YMin=[];
1015    YMax=[];
1016    fix_lim=isfield(PlotParam,'CheckFixLimits') && PlotParam.CheckFixLimits;
1017    if fix_lim
1018        if ~isfield(PlotParam,'MinX')||~isfield(PlotParam,'MaxX')||~isfield(PlotParam,'MinY')||~isfield(PlotParam,'MaxY')
1019            fix_lim=0; %free limits if limits are not set,
1020        else
1021            XMin=PlotParam.MinX
1022            XMax=PlotParam.MaxX;
1023            YMin=PlotParam.MinY;
1024            YMax=PlotParam.MaxY;
1025        end  %else PlotParamOut.XMin =PlotParam.XMin...
1026    else
1027        if test_ima %both background image and vectors coexist, take the wider bound
1028            XMin=min(AX);
1029            XMax=max(AX);
1030            YMin=min(AY);
1031            YMax=max(AY);
1032            if test_vec
1033                XMin=min(XMin,min(vec_X));
1034                XMax=max(XMax,max(vec_X));
1035                YMin=min(YMin,min(vec_Y));
1036                YMax=max(YMax,max(vec_Y));
1037            end
1038        elseif test_vec
1039            XMin=min(vec_X);
1040            XMax=max(vec_X);
1041            YMin=min(vec_Y);
1042            YMax=max(vec_Y);
1043        end
1044    end
1045%     PlotParamOut.RangeX=[XMin XMax]; %range of x, to be stored in the user data of the plot axes
1046%     PlotParamOut.RangeY=[YMin YMax]; %range of x, to be stored in the user data of the plot axes
1047%     if ~fix_lim
1048        PlotParamOut.MinX=XMin;
1049        PlotParamOut.MaxX=XMax;
1050        PlotParamOut.MinY=YMin;
1051        PlotParamOut.MaxY=YMax;
1052        if XMax>XMin
1053            set(haxes,'XLim',[XMin XMax]);% set x limits of frame in axes coordinates
1054        end
1055        if YMax>YMin
1056            set(haxes,'YLim',[YMin YMax]);% set x limits of frame in axes coordinates
1057        end
1058%     end
1059    set(haxes,'YDir','normal')
1060    set(get(haxes,'XLabel'),'String',[XName ' (' x_units ')']);
1061    set(get(haxes,'YLabel'),'String',[YName ' (' y_units ')']);
1062    PlotParamOut.x_units=x_units;
1063    PlotParamOut.y_units=y_units;
1064end
1065%-------------------------------------------------------------------
1066% --- function for plotting vectors
1067%INPUT:
1068% haxes: handles of the plotting axes
1069% x,y,u,v: vectors coordinates and vector components to plot, arrays withb the same dimension
1070% scale: scaling factor for vector length representation
1071% colorlist(icolor,:): list of vector colors, dim (nbcolor,3), depending on color #i
1072% col_vec: matlab vector setting the color number #i for each velocity vector
1073function quiresetn(haxes,x,y,u,v,scale,colorlist,col_vec)
1074%-------------------------------------------------------------------
1075%define arrows
1076theta=0.5 ;%angle arrow
1077alpha=0.3 ;%length arrow
1078rot=alpha*[cos(theta) -sin(theta); sin(theta) cos(theta)]';
1079%find the existing lines
1080h=findobj(haxes,'Tag','vel');% search existing lines in the current axes
1081sizh=size(h);
1082set(h,'EraseMode','xor');
1083set(haxes,'NextPlot','replacechildren');
1084
1085%drawnow
1086%create lines (if no lines) or modify them
1087if ~isequal(size(col_vec),size(x))
1088    col_vec=ones(size(x));% case of error in col_vec input
1089end
1090sizlist=size(colorlist);
1091ncolor=sizlist(1);
1092
1093for icolor=1:ncolor
1094    %determine the line positions for each color icolor
1095    ind=find(col_vec==icolor);
1096    xc=x(ind);
1097    yc=y(ind);
1098    uc=u(ind)*scale;
1099    vc=v(ind)*scale;
1100    n=size(xc);
1101    xN=NaN*ones(size(xc));
1102    matx=[xc(:)-uc(:)/2 xc(:)+uc(:)/2 xN(:)]';
1103    %     matx=[xc(:) xc(:)+uc(:) xN(:)]';
1104    matx=reshape(matx,1,3*n(2));
1105    maty=[yc(:)-vc(:)/2 yc(:)+vc(:)/2 xN(:)]';
1106    %     maty=[yc(:) yc(:)+vc(:) xN(:)]';
1107    maty=reshape(maty,1,3*n(2));
1108   
1109    %determine arrow heads
1110    arrowplus=rot*[uc;vc];
1111    arrowmoins=rot'*[uc;vc];
1112    x1=xc+uc/2-arrowplus(1,:);
1113    x2=xc+uc/2;
1114    x3=xc+uc/2-arrowmoins(1,:);
1115    y1=yc+vc/2-arrowplus(2,:);
1116    y2=yc+vc/2;
1117    y3=yc+vc/2-arrowmoins(2,:);
1118    matxar=[x1(:) x2(:) x3(:) xN(:)]';
1119    matxar=reshape(matxar,1,4*n(2));
1120    matyar=[y1(:) y2(:) y3(:) xN(:)]';
1121    matyar=reshape(matyar,1,4*n(2));
1122    %draw the line or modify the existing ones
1123    tri=reshape(1:3*length(uc),3,[])';   
1124    isn=isnan(colorlist(icolor,:));%test if color NaN
1125    if 2*icolor > sizh(1) %if icolor exceeds the number of existing ones
1126        if ~isn(1) %if the vectors are visible color not nan
1127            if n(2)>0
1128                hold on
1129                line(matx,maty,'Color',colorlist(icolor,:),'Tag','vel');% plot new lines
1130                line(matxar,matyar,'Color',colorlist(icolor,:),'Tag','vel');% plot arrows
1131            end
1132        end
1133    else
1134        if isn(1)
1135            delete(h(2*icolor-1))
1136            delete(h(2*icolor))
1137        else
1138            set(h(2*icolor-1),'Xdata',matx,'Ydata',maty);
1139            set(h(2*icolor-1),'Color',colorlist(icolor,:));
1140            set(h(2*icolor-1),'EraseMode','xor');
1141            set(h(2*icolor),'Xdata',matxar,'Ydata',matyar);
1142            set(h(2*icolor),'Color',colorlist(icolor,:));
1143            set(h(2*icolor),'EraseMode','xor');
1144        end
1145    end
1146end
1147if sizh(1) > 2*ncolor
1148    for icolor=ncolor+1 : sizh(1)/2%delete additional objects
1149        delete(h(2*icolor-1))
1150        delete(h(2*icolor))
1151    end
1152end
1153
1154%-------------------------------------------------------------------
1155% ---- determine tick positions for colorbar
1156function YTick=colbartick(MinA,MaxA)
1157%-------------------------------------------------------------------
1158%determine tick positions with "simple" values between MinA and MaxA
1159YTick=0;%default
1160maxabs=max([abs(MinA) abs(MaxA)]);
1161if maxabs>0
1162ord=10^(floor(log10(maxabs)));%order of magnitude
1163div=1;
1164siz2=1;
1165while siz2<2
1166%     values=[-9:div:9];
1167    values=-10:div:10;
1168    ind=find((ord*values-MaxA)<0 & (ord*values-MinA)>0);%indices of 'values' such that MinA<ord*values<MaxA
1169    siz=size(ind);
1170    if siz(2)<4%if there are less than 4 selected values (4 levels)
1171        values=-9:0.5*div:9;
1172        ind=find((ord*values-MaxA)<0 & (ord*values-MinA)>0);
1173    end
1174    siz2=size(ind,2);
1175%     siz2=siz(2)
1176    div=div/10;
1177end
1178YTick=ord*values(ind);
1179end
1180
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