source: trunk/src/plot_field.m @ 356

Last change on this file since 356 was 356, checked in by sommeria, 9 years ago

civ updated with new functions for opening files, consistently with uvmat
Bugs to be expected (use previous version then)

File size: 52.2 KB
RevLine 
[201]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:
[292]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).
[201]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.
[292]9%  The dimensionality of each block is obtained  by this function
[201]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%
[294]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
[292]58%     .Coordinates.CheckFixEqual: =0 (default):automatic adjustment of the graph, keep 1 to 1 aspect ratio for x and y scales.
[201]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
[292]62%    .Scalar.CheckFixScal: =0 (default) lower and upper bounds of the scalar representation set to the min and max of the field
[201]63%               =1 lower and upper bound imposed by .AMax and .MinA
[292]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
[201]66%    .IncrA : contour interval
67%            -- vectors--
68%    .Vectors.VecScale: scale for the vector representation
[292]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
[201]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'
[292]81%    .Vectors.CheckFixedCbounds;  =0 (default): the bounds on C representation are min and max, =1: they are fixed by .Minc and .MaxC
[201]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
[247]108
[201]109if ~exist('PlotParam','var'),PlotParam=[];end;
110if ~exist('PosColorbar','var'),PosColorbar=[];end;
111PlotType='text'; %default
112PlotParamOut=PlotParam;%default
[292]113Coordinates=[];
114if isfield(PlotParam,'Coordinates')
115Coordinates=PlotParam.Coordinates;
116end
[201]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
[294]135
[201]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
[206]164    index_2D=find(NbDim==2,2);%find 2D fields (at most 2)
[201]165    index_3D=find(NbDim>2,1);
166    if ~isempty(index_3D)
[206]167        if isfield(Data,'NbDim')&& isequal(Data.NbDim,2)
168            index_2D=[index_2D index_3D];
169        else
[201]170        msgbox_uvmat('ERROR','volume plot not implemented yet');
171        return
[206]172        end
[201]173    end
[206]174   
[201]175    index_1D=find(NbDim==1);
176    index_0D=find(NbDim==0);
177   
[294]178    %% set axes properties
[292]179    if isfield(Coordinates,'CheckFixLimits') && isequal(Coordinates.CheckFixLimits,1)  %adjust the graph limits*
[201]180        set(haxes,'XLimMode', 'manual')
181        set(haxes,'YLimMode', 'manual')
182    else
183        set(haxes,'XLimMode', 'auto')
184        set(haxes,'YLimMode', 'auto')
185    end
[292]186    if ~isfield(Coordinates,'CheckFixEqual')&& isfield(Data,'CoordUnit')
187        Coordinates.CheckFixEqual=1;
[201]188    end
[294]189    if isfield(Coordinates,'CheckFixEqual') && isequal(Coordinates.CheckFixEqual,1)
[201]190        set(haxes,'DataAspectRatioMode','manual')
[294]191        set(haxes,'DataAspectRatio',[1 1 1])
[201]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)
[294]224    plot_profile([],[],[],haxes);%
[201]225else
[294]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';
[201]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
[252]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]
[201]251end
252
253%% update the parameters stored in AxeData
254set(haxes,'UserData',AxeData)
255
[206]256%% update the plotted field stored in parent figure
[201]257FigData=get(hfig,'UserData');
258tagaxes=get(haxes,'tag');
259if isfield(FigData,tagaxes)
260    eval(['FigData.' tagaxes '=Data;'])
261    set(hfig,'UserData',FigData)
262end
[292]263
[201]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)};
[292]273         VarValue=FieldData.(VarName);
[201]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)
[292]282set(htext,'UserData',txt_cell)% for storage during mouse display
[201]283
284%-------------------------------------------------------------------
[292]285function CoordinatesOut=plot_profile(data,CellVarIndex,VarType,haxes,Coordinates)
[201]286%-------------------------------------------------------------------
287
[292]288if ~exist('Coordinates','var')
289    Coordinates=[];
[201]290end
[292]291CoordinatesOut=Coordinates; %default
[201]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)
[292]308if isfield(Coordinates,'NextPlot')
309    set(haxes,'NextPlot',Coordinates.NextPlot)
[201]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 ')'])
[294]380            YMin(ivar)=min(min(data.(VarName)));
381            YMax(ivar)=max(max(data.(VarName)));
[201]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
[294]455%CoordinatesOut.RangeX=[min(XMin) max(XMax)];
456%CoordinatesOut.RangeY=[min(YMin_cell) max(YMax_cell)];
457fix_lim=isfield(Coordinates,'CheckFixLimits') && Coordinates.CheckFixLimits;
[201]458if fix_lim
[292]459    if ~isfield(Coordinates,'MinX')||~isfield(Coordinates,'MaxX')||~isfield(Coordinates,'MinY')||~isfield(Coordinates,'MaxY')
[201]460        fix_lim=0; %free limits if lits are not set,
[221]461    end
[201]462end
[294]463if fix_lim
464    set(haxes,'XLim',[Coordinates.MinX Coordinates.MaxX])
465    set(haxes,'YLim',[Coordinates.MinY Coordinates.MaxY])
466else   
[292]467    CoordinatesOut.MinX=min(XMin);
468    CoordinatesOut.MaxX=max(XMax);
469    CoordinatesOut.MinY=min(YMin_cell);
470    CoordinatesOut.MaxY=max(YMax_cell);
[201]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
[334]482if ~isfield(PlotParam,'Coordinates')
483    PlotParam.Coordinates=[];
484end
[201]485if ~isfield(PlotParam,'Scalar')
486    PlotParam.Scalar=[];
487end
488if ~isfield(PlotParam,'Vectors')
489    PlotParam.Vectors=[];
490end
491
492PlotParamOut=PlotParam;%default
493hfig=get(haxes,'parent');
494hcol=findobj(hfig,'Tag','Colorbar'); %look for colorbar axes
495hima=findobj(haxes,'Tag','ima');% search existing image in the current axes
496errormsg='';%default
497test_ima=0; %default: test for image or map plot
498test_vec=0; %default: test for vector plots
499test_black=0;
500test_false=0;
501test_C=0;
502XName='';
503x_units='';
504YName='';
505y_units='';
506for icell=1:length(CellVarIndex) % length(CellVarIndex) =1 or 2 (from the calling function)
507    VarType=VarTypeCell{icell};
508    ivar_X=VarType.coord_x; % defines (unique) index for the variable representing unstructured x coordinate (default =[])
509    ivar_Y=VarType.coord_y; % defines (unique)index for the variable representing unstructured y coordinate (default =[])
510    ivar_U=VarType.vector_x; % defines (unique) index for the variable representing x vector component (default =[])
511    ivar_V=VarType.vector_y; % defines (unique) index for the variable representing y vector component (default =[])
512    ivar_C=[VarType.scalar VarType.image VarType.color VarType.ancillary]; %defines index (indices) for the scalar or ancillary fields
513    if numel(ivar_C)>1
514        errormsg= 'error in plot_field: too many scalar inputs';
515        return
516    end
517    ivar_F=VarType.warnflag; %defines index (unique) for warning flag variable
518    ivar_FF=VarType.errorflag; %defines index (unique) for error flag variable
519    ind_coord=find(VarType.coord);
520    if numel(ind_coord)==2
521        VarType.coord=VarType.coord(ind_coord);
522    end
523    if ~isempty(ivar_U) && ~isempty(ivar_V)% vector components detected
524        if test_vec
525            errormsg='error in plot_field: attempt to plot two vector fields';
526            return
527        else
528            test_vec=1;
[313]529            vec_U=Data.(Data.ListVarName{ivar_U});
530            vec_V=Data.(Data.ListVarName{ivar_V});
[201]531            if ~isempty(ivar_X) && ~isempty(ivar_Y)% 2D field (with unstructured coordinates or structured ones (then ivar_X and ivar_Y empty)
532                XName=Data.ListVarName{ivar_X};
533                YName=Data.ListVarName{ivar_Y};
[227]534                eval(['vec_X=reshape(Data.' XName ',[],1);'])
535                eval(['vec_Y=reshape(Data.' YName ',[],1);'])
[201]536            elseif numel(VarType.coord)==2 && ~isequal(VarType.coord,[0 0]);%coordinates defines by dimension variables
537                eval(['y=Data.' Data.ListVarName{VarType.coord(1)} ';'])
538                eval(['x=Data.' Data.ListVarName{VarType.coord(2)} ';'])
539                if numel(y)==2 % y defined by first and last values on aregular mesh
540                    y=linspace(y(1),y(2),size(vec_U,1));
541                end
542                if numel(x)==2 % y defined by first and last values on aregular mesh
543                    x=linspace(x(1),x(2),size(vec_U,2));
544                end
545                [vec_X,vec_Y]=meshgrid(x,y); 
546            else
547                errormsg='error in plot_field: invalid coordinate definition for vector field';
548                return
549            end
550            if ~isempty(ivar_C)
551                 eval(['vec_C=Data.' Data.ListVarName{ivar_C} ';']) ;
552                 vec_C=reshape(vec_C,1,numel(vec_C));
553                 test_C=1;
554            end
555            if ~isempty(ivar_F)%~(isfield(PlotParam.Vectors,'HideWarning')&& isequal(PlotParam.Vectors.HideWarning,1))
556                if test_vec
[313]557                    vec_F=Data.(Data.ListVarName{ivar_F}); % warning flags for  dubious vectors
[294]558                    if  ~(isfield(PlotParam.Vectors,'CheckHideWarning') && isequal(PlotParam.Vectors.CheckHideWarning,1))
[201]559                        test_black=1;
560                    end
561                end
562            end
563            if ~isempty(ivar_FF) %&& ~test_false
564                if test_vec% TODO: deal with FF for structured coordinates
[313]565                    vec_FF=Data.(Data.ListVarName{ivar_FF}); % flags for false vectors
[201]566                end
567            end
568        end
569    elseif ~isempty(ivar_C) %scalar or image
570        if test_ima
571             errormsg='attempt to plot two scalar fields or images';
572            return
573        end
574        eval(['A=squeeze(Data.' Data.ListVarName{ivar_C} ');']) ;% scalar represented as color image
575        test_ima=1;
[227]576        if ~isempty(ivar_X) && ~isempty(ivar_Y)% 2D field (with unstructured coordinates  (then ivar_X and ivar_Y not empty)
577            A=reshape(A,1,[]);
[201]578            XName=Data.ListVarName{ivar_X};
579            YName=Data.ListVarName{ivar_Y};
[227]580            eval(['AX=reshape(Data.' XName ',1,[]);'])
581            eval(['AY=reshape(Data.' YName ',1,[]);'])
[201]582            [A,AX,AY]=proj_grid(AX',AY',A',[],[],'np>256');  % interpolate on a grid 
583            if isfield(Data,'VarAttribute')
584                if numel(Data.VarAttribute)>=ivar_X && isfield(Data.VarAttribute{ivar_X},'units')
585                    x_units=[' (' Data.VarAttribute{ivar_X}.units ')'];
586                end
587                if numel(Data.VarAttribute)>=ivar_Y && isfield(Data.VarAttribute{ivar_Y},'units')
588                    y_units=[' (' Data.VarAttribute{ivar_Y}.units ')'];
589                end
590            end       
591        elseif numel(VarType.coord)==2 %structured coordinates
592            XName=Data.ListVarName{VarType.coord(2)};
593            YName=Data.ListVarName{VarType.coord(1)};
594            eval(['AY=Data.' Data.ListVarName{VarType.coord(1)} ';'])
595            eval(['AX=Data.' Data.ListVarName{VarType.coord(2)} ';'])
596            test_interp_X=0; %default, regularly meshed X coordinate
597            test_interp_Y=0; %default, regularly meshed Y coordinate
598            if isfield(Data,'VarAttribute')
599                if numel(Data.VarAttribute)>=VarType.coord(2) && isfield(Data.VarAttribute{VarType.coord(2)},'units')
600                    x_units=Data.VarAttribute{VarType.coord(2)}.units;
601                end
602                if numel(Data.VarAttribute)>=VarType.coord(1) && isfield(Data.VarAttribute{VarType.coord(1)},'units')
603                    y_units=Data.VarAttribute{VarType.coord(1)}.units;
604                end
605            end 
606            if numel(AY)>2
607                DAY=diff(AY);
608                DAY_min=min(DAY);
609                DAY_max=max(DAY);
610                if sign(DAY_min)~=sign(DAY_max);% =1 for increasing values, 0 otherwise
611                     errormsg=['errror in plot_field.m: non monotonic dimension variable ' Data.ListVarName{VarType.coord(1)} ];
612                      return
613                end
614                test_interp_Y=(DAY_max-DAY_min)> 0.0001*abs(DAY_max);
615            end
616            if numel(AX)>2
617                DAX=diff(AX);
618                DAX_min=min(DAX);
619                DAX_max=max(DAX);
620                if sign(DAX_min)~=sign(DAX_max);% =1 for increasing values, 0 otherwise
621                     errormsg=['errror in plot_field.m: non monotonic dimension variable ' Data.ListVarName{VarType.coord(2)} ];
622                      return
623                end
624                test_interp_X=(DAX_max-DAX_min)> 0.0001*abs(DAX_max);
625            end 
626            if test_interp_Y         
627                npxy(1)=max([256 floor((AY(end)-AY(1))/DAY_min) floor((AY(end)-AY(1))/DAY_max)]);
628                yI=linspace(AY(1),AY(end),npxy(1));
629                if ~test_interp_X
630                    xI=linspace(AX(1),AX(end),size(A,2));%default
631                    AX=xI;
632                end
633            end
634            if test_interp_X 
635                npxy(2)=max([256 floor((AX(end)-AX(1))/DAX_min) floor((AX(end)-AX(1))/DAX_max)]);
636                xI=linspace(AX(1),AX(end),npxy(2));   
637                if ~test_interp_Y
638                   yI=linspace(AY(1),AY(end),size(A,1));
639                   AY=yI;
640                end
641            end
642            if test_interp_X || test_interp_Y               
643                [AX2D,AY2D]=meshgrid(AX,AY);
644                A=interp2(AX2D,AY2D,double(A),xI,yI');
645            end
646            AX=[AX(1) AX(end)];% keep only the lower and upper bounds for image represnetation
647            AY=[AY(1) AY(end)];
648        else
649            errormsg='error in plot_field: invalid coordinate definition ';
650            return
651        end
652    end
653    %define coordinates as CoordUnits, if not defined as attribute for each variable
654    if isfield(Data,'CoordUnit')
655        if isempty(x_units)
656            x_units=Data.CoordUnit;
657        end
658        if isempty(y_units)
659            y_units=Data.CoordUnit;
660        end
661    end
662       
663end
664
665%%   image or scalar plot %%%%%%%%%%%%%%%%%%%%%%%%%%
666
[294]667if isfield(PlotParam.Scalar,'ListContour')
668    CheckContour=strcmp(PlotParam.Scalar.ListContour{1},'contours');
669else
670    CheckContour=0; %default
[201]671end
672PlotParamOut=PlotParam; %default
673if test_ima
674    % distinguish B/W and color images
675    np=size(A);%size of image
676    siz=numel(np);
677    if siz>3
678       errormsg=['unrecognized scalar type: ' num2str(siz) ' dimensions'];
679            return
680    end
681    if siz==3
682        if np(3)==1
683            siz=2;%B W image
684        elseif np(3)==3
685            siz=3;%color image
686        else
[206]687            errormsg=['unrecognized scalar type in plot_field: considered as 2D field with ' num2str(np(3)) ' color components'];
[201]688            return
689        end
690    end
691   
692    %set the color map
[294]693    if isfield(PlotParam.Scalar,'CheckBW')
694        BW=PlotParam.Scalar.CheckBW; %test for BW gray scale images
[201]695    else
696        BW=(siz==2) && (isa(A,'uint8')|| isa(A,'uint16'));% non color images represented in gray scale by default
697    end
698   
699    %case of grey level images or contour plot
700    if siz==2
[294]701        if ~isfield(PlotParam.Scalar,'CheckFixScalar')
702            PlotParam.Scalar.CheckFixScalar=0;%default
[201]703        end
704        if ~isfield(PlotParam.Scalar,'MinA')
705            PlotParam.Scalar.MinA=[];%default
706        end
707        if ~isfield(PlotParam.Scalar,'MaxA')
708            PlotParam.Scalar.MaxA=[];%default
709        end
[206]710        Aline=[];
[294]711        if ~PlotParam.Scalar.CheckFixScalar ||isempty(PlotParam.Scalar.MinA)||~isa(PlotParam.Scalar.MinA,'double')  %correct if there is no numerical data in edit box
[206]712            Aline=reshape(A,1,[]);
713            Aline=Aline(~isnan(A));
714            if isempty(Aline)
[210]715                 errormsg='NaN input scalar or image in plot_field';
[206]716                return
717            end
[210]718            MinA=double(min(Aline));
[201]719        else
[206]720            MinA=PlotParam.Scalar.MinA;
[201]721        end;
[294]722        if ~PlotParam.Scalar.CheckFixScalar||isempty(PlotParam.Scalar.MaxA)||~isa(PlotParam.Scalar.MaxA,'double') %correct if there is no numerical data in edit box
[206]723            if isempty(Aline)
724               Aline=reshape(A,1,[]);
725               Aline=Aline(~isnan(A));
726               if isempty(Aline)
[210]727                 errormsg='NaN input scalar or image in plot_field';
[206]728                return
729               end
730            end
[210]731            MaxA=double(max(Aline));
[201]732        else
733            MaxA=PlotParam.Scalar.MaxA; 
734        end;
735        PlotParamOut.Scalar.MinA=MinA;
736        PlotParamOut.Scalar.MaxA=MaxA;
737        % case of contour plot
[294]738        if CheckContour
[201]739            if ~isempty(hima) && ishandle(hima)
740                delete(hima)
741            end
742            if ~isfield(PlotParam.Scalar,'IncrA')
743                PlotParam.Scalar.IncrA=NaN;
744            end
[294]745            if isempty(PlotParam.Scalar.IncrA)|| isnan(PlotParam.Scalar.IncrA)% | PlotParam.Scalar.AutoScal==0
[201]746                cont=colbartick(MinA,MaxA);
747                intercont=cont(2)-cont(1);%default
748                PlotParamOut.Scalar.IncrA=intercont;
749            else
750               intercont=PlotParam.Scalar.IncrA;
751            end
752            B=A;           
753            abscontmin=intercont*floor(MinA/intercont);
754            abscontmax=intercont*ceil(MaxA/intercont);
755            contmin=intercont*floor(min(min(B))/intercont);
756            contmax=intercont*ceil(max(max(B))/intercont);
757            cont_pos_plus=0:intercont:contmax;
758            cont_pos_min=double(contmin):intercont:-intercont;
759            cont_pos=[cont_pos_min cont_pos_plus];
760            sizpx=(AX(end)-AX(1))/(np(2)-1);
761            sizpy=(AY(1)-AY(end))/(np(1)-1);
762            x_cont=AX(1):sizpx:AX(end); % pixel x coordinates for image display
763            y_cont=AY(1):-sizpy:AY(end); % pixel x coordinates for image display
764           % axes(haxes)% set the input axes handle as current axis
765    txt=ver('MATLAB');
766    Release=txt.Release;
767            relnumb=str2double(Release(3:4));
768            if relnumb >= 14
769                    vec=linspace(0,1,(abscontmax-abscontmin)/intercont);%define a greyscale colormap with steps intercont
770                map=[vec' vec' vec'];
771                colormap(map);
772                [var,hcontour]=contour(x_cont,y_cont,B,cont_pos);       
773                set(hcontour,'Fill','on')
774                set(hcontour,'LineStyle','none')
775                hold on
776            end
777            [var_p,hcontour_p]=contour(x_cont,y_cont,B,cont_pos_plus,'k-');
778            hold on
779            [var_m,hcontour_m]=contour(x_cont,y_cont,B,cont_pos_min,':');
780            set(hcontour_m,'LineColor',[1 1 1])
781            hold off
782            caxis([abscontmin abscontmax])
783            colormap(map);
784        end
785       
786        % set  colormap for  image display
[294]787        if ~CheckContour
[201]788            % rescale the grey levels with min and max, put a grey scale colorbar
789            B=A;
790            if BW
791                vec=linspace(0,1,255);%define a linear greyscale colormap
792                map=[vec' vec' vec'];
793                colormap(map);  %grey scale color map
794            else
795                colormap('default'); % standard faulse colors for div, vort , scalar fields
796            end
797        end
798       
799    % case of color images
800    else
801        if BW
802            B=uint16(sum(A,3));
803        else
804            B=uint8(A);
805        end
806        MinA=0;
807        MaxA=255;
808    end
809   
810    % display usual image
[294]811    if ~CheckContour     
[201]812        % interpolate field to increase resolution of image display
813        test_interp=1;
814        if max(np) <= 64
815            npxy=8*np;% increase the resolution 8 times
816        elseif max(np) <= 128
817            npxy=4*np;% increase the resolution 4 times
818        elseif max(np) <= 256
819            npxy=2*np;% increase the resolution 2 times
820        else
821            npxy=np;
822            test_interp=0; % no interpolation done
823        end
824        if test_interp==1%if we interpolate   
825            x=linspace(AX(1),AX(2),np(2));
826            y=linspace(AY(1),AY(2),np(1));
827            [X,Y]=meshgrid(x,y);
828            xi=linspace(AX(1),AX(2),npxy(2));
829            yi=linspace(AY(1),AY(2),npxy(1));
830            B = interp2(X,Y,double(B),xi,yi');
831        end           
832        % create new image if there  no image handle is found
833        if isempty(hima)
834            tag=get(haxes,'Tag');
835            if MinA<MaxA
836                hima=imagesc(AX,AY,B,[MinA MaxA]);
837            else % to deal with uniform field
838                hima=imagesc(AX,AY,B,[MaxA-1 MaxA]);
839            end
840            set(hima,'Tag','ima','HitTest','off')
841            set(haxes,'Tag',tag);%preserve the axes tag (removed by image fct !!!)     
842            uistack(hima, 'bottom')
843        % update an existing image
844        else
845            set(hima,'CData',B);
846            if MinA<MaxA
847                set(haxes,'CLim',[MinA MaxA])
848            else
[238]849                set(haxes,'CLim',[MinA MaxA+1])
[201]850            end
851            set(hima,'XData',AX);
852            set(hima,'YData',AY);
853        end
854    end
855    test_ima=1;
856   
857    %display the colorbar code for B/W images if Poscolorbar not empty
858    if siz==2 && exist('PosColorbar','var')&& ~isempty(PosColorbar)
859        if isempty(hcol)||~ishandle(hcol)
860             hcol=colorbar;%create new colorbar
861        end
862        if length(PosColorbar)==4
863                 set(hcol,'Position',PosColorbar)           
864        end
865        %YTick=0;%default
866        if MaxA>MinA
[294]867            if CheckContour
[201]868                colbarlim=get(hcol,'YLim');
869                scale_bar=(colbarlim(2)-colbarlim(1))/(abscontmax-abscontmin);               
870                YTick=cont_pos(2:end-1);
871                YTick_scaled=colbarlim(1)+scale_bar*(YTick-abscontmin);
872                set(hcol,'YTick',YTick_scaled);
[294]873            elseif (isfield(PlotParam.Scalar,'CheckBW') && isequal(PlotParam.Scalar.CheckBW,1))||isa(A,'uint8')|| isa(A,'uint16')%images
[201]874                hi=get(hcol,'children');
875                if iscell(hi)%multiple images in colorbar
876                    hi=hi{1};
877                end
878                set(hi,'YData',[MinA MaxA])
879                set(hi,'CData',(1:256)')
880                set(hcol,'YLim',[MinA MaxA])
881                YTick=colbartick(MinA,MaxA);
882                set(hcol,'YTick',YTick)               
883            else
884                hi=get(hcol,'children');
885                if iscell(hi)%multiple images in colorbar
886                    hi=hi{1};
887                end
888                set(hi,'YData',[MinA MaxA])
889                set(hi,'CData',(1:64)')
890                YTick=colbartick(MinA,MaxA);
891                set(hcol,'YLim',[MinA MaxA])
892                set(hcol,'YTick',YTick)
893            end
894            set(hcol,'Yticklabel',num2str(YTick'));
895        end
896    elseif ishandle(hcol)
897        delete(hcol); %erase existing colorbar if not needed
898    end
899else%no scalar plot
900    if ~isempty(hima) && ishandle(hima)
901        delete(hima)
902    end
903    if ~isempty(hcol)&& ishandle(hcol)
904       delete(hcol)
905    end
906    PlotParamOut=rmfield(PlotParamOut,'Scalar');
907end
908
909%%   vector plot %%%%%%%%%%%%%%%%%%%%%%%%%%
910if test_vec
911   %vector scale representation
912    if size(vec_U,1)==numel(vec_Y) && size(vec_U,2)==numel(vec_X); % x, y  coordinate variables
913        [vec_X,vec_Y]=meshgrid(vec_X,vec_Y);
914    end   
915    vec_X=reshape(vec_X,1,numel(vec_X));%reshape in matlab vectors
916    vec_Y=reshape(vec_Y,1,numel(vec_Y));
917    vec_U=reshape(vec_U,1,numel(vec_U));
918    vec_V=reshape(vec_V,1,numel(vec_V));
919     MinMaxX=max(vec_X)-min(vec_X);
[294]920    if  isfield(PlotParam.Vectors,'CheckFixVectors') && isequal(PlotParam.Vectors.CheckFixVectors,1)&& isfield(PlotParam.Vectors,'VecScale')...
[210]921               &&~isempty(PlotParam.Vectors.VecScale) && isa(PlotParam.Vectors.VecScale,'double') %fixed vector scale
922        scale=PlotParam.Vectors.VecScale;  %impose the length of vector representation
923    else
924        if ~test_false %remove false vectors   
[201]925            indsel=1:numel(vec_X);%
926        end
927        if isempty(vec_U)
928            scale=1;
929        else
930            if isempty(indsel)
931                MaxU=max(abs(vec_U));
932                MaxV=max(abs(vec_V));
933            else
934                MaxU=max(abs(vec_U(indsel)));
935                MaxV=max(abs(vec_V(indsel)));
936            end
937            scale=MinMaxX/(max(MaxU,MaxV)*50);
938            PlotParam.Vectors.VecScale=scale;%update the 'scale' display
939        end
[210]940    end
[201]941   
942    %record vectors on the plotting axes
943    if test_C==0
944        vec_C=ones(1,numel(vec_X));
945    end
946   
947    %decimate by a factor 2 in vector mesh(4 in nbre of vectors)
[294]948    if isfield(PlotParam.Vectors,'CheckDecimate4') && PlotParam.Vectors.CheckDecimate4
[201]949        diffy=diff(vec_Y); %difference dy=vec_Y(i+1)-vec_Y(i)
950        dy_thresh=max(abs(diffy))/2;
951        ind_jump=find(abs(diffy) > dy_thresh); %indices with diff(vec_Y)> max/2, detect change of line
952        ind_sel=1:ind_jump(1);%select the first line
953        for i=2:2:length(ind_jump)-1
954            ind_sel=[ind_sel (ind_jump(i)+1:ind_jump(i+1))];% select the odd lines
955        end
956        nb_sel=length(ind_sel);
957        ind_sel=ind_sel(1:2:nb_sel);% take half the points on a line
958        vec_X=vec_X(ind_sel);
959        vec_Y=vec_Y(ind_sel);
960        vec_U=vec_U(ind_sel);
961        vec_V=vec_V(ind_sel);
962        vec_C=vec_C(ind_sel);
963        if ~isempty(ivar_F)
964           vec_F=vec_F(ind_sel);
965        end
966        if ~isempty(ivar_FF)
967           vec_FF=vec_FF(ind_sel);
968        end
969    end
970   
971    %get main level color code
972    [colorlist,col_vec,PlotParamOut.Vectors]=set_col_vec(PlotParam.Vectors,vec_C);
973   
974    % take flags into account: add flag colors to the list of colors
975    sizlist=size(colorlist);
976    nbcolor=sizlist(1);
977    if test_black
978       nbcolor=nbcolor+1;
979       colorlist(nbcolor,:)=[0 0 0]; %add black to the list of colors
980       if ~isempty(ivar_FF)
[210]981          %  ind_flag=find(vec_F~=1 & vec_F~=0 & vec_FF==0);  %flag warning but not false
982            col_vec(vec_F~=1 & vec_F~=0 & vec_FF==0)=nbcolor;
[201]983       else
[210]984            col_vec(vec_F~=1 & vec_F~=0)=nbcolor;
[201]985       end
986    end
987    nbcolor=nbcolor+1;
988    if ~isempty(ivar_FF)
[294]989        if isfield(PlotParam.Vectors,'CheckHideFalse') && PlotParam.Vectors.CheckHideFalse==1
[201]990            colorlist(nbcolor,:)=[NaN NaN NaN];% no plot of false vectors
991        else
992            colorlist(nbcolor,:)=[1 0 1];% magenta color
993        end
[210]994        col_vec(vec_FF~=0)=nbcolor;
[201]995    end
996    %plot vectors:
997    quiresetn(haxes,vec_X,vec_Y,vec_U,vec_V,scale,colorlist,col_vec);   
998
999else
1000    hvec=findobj(haxes,'Tag','vel');
1001    if ~isempty(hvec)
1002        delete(hvec);
1003    end
1004    PlotParamOut=rmfield(PlotParamOut,'Vectors');
1005end
1006
1007%listfields={'AY','AX','A','X','Y','U','V','C','W','F','FF'};
1008%listdim={'AY','AX',{'AY','AX'},'nb_vectors','nb_vectors','nb_vectors','nb_vectors','nb_vectors','nb_vectors','nb_vectors','nb_vectors'};
1009%Role={'coord_y','coord_x','scalar','coord_x','coord_y','vector_x','vector_y','scalar','vector_z','warnflag','errorflag'};
1010%ind_select=[];
1011nbvar=0;
1012
1013%store the coordinate extrema occupied by the field
1014if ~isempty(Data)
[252]1015    XMin=[];
1016    XMax=[];
1017    YMin=[];
1018    YMax=[];
[334]1019    fix_lim=isfield(PlotParam.Coordinates,'CheckFixLimits') && PlotParam.Coordinates.CheckFixLimits;
[201]1020    if fix_lim
[334]1021        if isfield(PlotParam.Coordinates,'MinX')&&isfield(PlotParam.Coordinates,'MaxX')&&isfield(PlotParam.Coordinates,'MinY')&&isfield(PlotParam.Coordinates,'MaxY')
1022            XMin=PlotParam.Coordinates.MinX;
1023            XMax=PlotParam.Coordinates.MaxX;
1024            YMin=PlotParam.Coordinates.MinY;
1025            YMax=PlotParam.Coordinates.MaxY;
[201]1026        end  %else PlotParamOut.XMin =PlotParam.XMin...
[252]1027    else
1028        if test_ima %both background image and vectors coexist, take the wider bound
[201]1029            XMin=min(AX);
1030            XMax=max(AX);
1031            YMin=min(AY);
1032            YMax=max(AY);
[252]1033            if test_vec
1034                XMin=min(XMin,min(vec_X));
1035                XMax=max(XMax,max(vec_X));
1036                YMin=min(YMin,min(vec_Y));
1037                YMax=max(YMax,max(vec_Y));
1038            end
1039        elseif test_vec
1040            XMin=min(vec_X);
1041            XMax=max(vec_X);
1042            YMin=min(vec_Y);
1043            YMax=max(vec_Y);
[201]1044        end
[252]1045    end
1046%     PlotParamOut.RangeX=[XMin XMax]; %range of x, to be stored in the user data of the plot axes
1047%     PlotParamOut.RangeY=[YMin YMax]; %range of x, to be stored in the user data of the plot axes
1048%     if ~fix_lim
[334]1049        PlotParamOut.Coordinates.MinX=XMin;
1050        PlotParamOut.Coordinates.MaxX=XMax;
1051        PlotParamOut.Coordinates.MinY=YMin;
1052        PlotParamOut.Coordinates.MaxY=YMax;
[201]1053        if XMax>XMin
1054            set(haxes,'XLim',[XMin XMax]);% set x limits of frame in axes coordinates
1055        end
1056        if YMax>YMin
1057            set(haxes,'YLim',[YMin YMax]);% set x limits of frame in axes coordinates
1058        end
[252]1059%     end
[201]1060    set(haxes,'YDir','normal')
1061    set(get(haxes,'XLabel'),'String',[XName ' (' x_units ')']);
1062    set(get(haxes,'YLabel'),'String',[YName ' (' y_units ')']);
[334]1063    PlotParamOut.Coordinates.x_units=x_units;
1064    PlotParamOut.Coordinates.y_units=y_units;
[201]1065end
1066%-------------------------------------------------------------------
1067% --- function for plotting vectors
1068%INPUT:
1069% haxes: handles of the plotting axes
1070% x,y,u,v: vectors coordinates and vector components to plot, arrays withb the same dimension
1071% scale: scaling factor for vector length representation
1072% colorlist(icolor,:): list of vector colors, dim (nbcolor,3), depending on color #i
1073% col_vec: matlab vector setting the color number #i for each velocity vector
1074function quiresetn(haxes,x,y,u,v,scale,colorlist,col_vec)
1075%-------------------------------------------------------------------
1076%define arrows
1077theta=0.5 ;%angle arrow
1078alpha=0.3 ;%length arrow
1079rot=alpha*[cos(theta) -sin(theta); sin(theta) cos(theta)]';
1080%find the existing lines
1081h=findobj(haxes,'Tag','vel');% search existing lines in the current axes
1082sizh=size(h);
1083set(h,'EraseMode','xor');
1084set(haxes,'NextPlot','replacechildren');
1085
1086%drawnow
1087%create lines (if no lines) or modify them
1088if ~isequal(size(col_vec),size(x))
1089    col_vec=ones(size(x));% case of error in col_vec input
1090end
1091sizlist=size(colorlist);
1092ncolor=sizlist(1);
1093
1094for icolor=1:ncolor
1095    %determine the line positions for each color icolor
1096    ind=find(col_vec==icolor);
1097    xc=x(ind);
1098    yc=y(ind);
1099    uc=u(ind)*scale;
1100    vc=v(ind)*scale;
1101    n=size(xc);
1102    xN=NaN*ones(size(xc));
1103    matx=[xc(:)-uc(:)/2 xc(:)+uc(:)/2 xN(:)]';
1104    %     matx=[xc(:) xc(:)+uc(:) xN(:)]';
1105    matx=reshape(matx,1,3*n(2));
1106    maty=[yc(:)-vc(:)/2 yc(:)+vc(:)/2 xN(:)]';
1107    %     maty=[yc(:) yc(:)+vc(:) xN(:)]';
1108    maty=reshape(maty,1,3*n(2));
1109   
1110    %determine arrow heads
1111    arrowplus=rot*[uc;vc];
1112    arrowmoins=rot'*[uc;vc];
1113    x1=xc+uc/2-arrowplus(1,:);
1114    x2=xc+uc/2;
1115    x3=xc+uc/2-arrowmoins(1,:);
1116    y1=yc+vc/2-arrowplus(2,:);
1117    y2=yc+vc/2;
1118    y3=yc+vc/2-arrowmoins(2,:);
1119    matxar=[x1(:) x2(:) x3(:) xN(:)]';
1120    matxar=reshape(matxar,1,4*n(2));
1121    matyar=[y1(:) y2(:) y3(:) xN(:)]';
1122    matyar=reshape(matyar,1,4*n(2));
1123    %draw the line or modify the existing ones
1124    tri=reshape(1:3*length(uc),3,[])';   
1125    isn=isnan(colorlist(icolor,:));%test if color NaN
1126    if 2*icolor > sizh(1) %if icolor exceeds the number of existing ones
1127        if ~isn(1) %if the vectors are visible color not nan
1128            if n(2)>0
1129                hold on
1130                line(matx,maty,'Color',colorlist(icolor,:),'Tag','vel');% plot new lines
1131                line(matxar,matyar,'Color',colorlist(icolor,:),'Tag','vel');% plot arrows
1132            end
1133        end
1134    else
1135        if isn(1)
1136            delete(h(2*icolor-1))
1137            delete(h(2*icolor))
1138        else
1139            set(h(2*icolor-1),'Xdata',matx,'Ydata',maty);
1140            set(h(2*icolor-1),'Color',colorlist(icolor,:));
1141            set(h(2*icolor-1),'EraseMode','xor');
1142            set(h(2*icolor),'Xdata',matxar,'Ydata',matyar);
1143            set(h(2*icolor),'Color',colorlist(icolor,:));
1144            set(h(2*icolor),'EraseMode','xor');
1145        end
1146    end
1147end
1148if sizh(1) > 2*ncolor
1149    for icolor=ncolor+1 : sizh(1)/2%delete additional objects
1150        delete(h(2*icolor-1))
1151        delete(h(2*icolor))
1152    end
1153end
1154
1155%-------------------------------------------------------------------
1156% ---- determine tick positions for colorbar
1157function YTick=colbartick(MinA,MaxA)
1158%-------------------------------------------------------------------
1159%determine tick positions with "simple" values between MinA and MaxA
1160YTick=0;%default
1161maxabs=max([abs(MinA) abs(MaxA)]);
1162if maxabs>0
1163ord=10^(floor(log10(maxabs)));%order of magnitude
1164div=1;
1165siz2=1;
1166while siz2<2
1167%     values=[-9:div:9];
1168    values=-10:div:10;
1169    ind=find((ord*values-MaxA)<0 & (ord*values-MinA)>0);%indices of 'values' such that MinA<ord*values<MaxA
1170    siz=size(ind);
1171    if siz(2)<4%if there are less than 4 selected values (4 levels)
1172        values=-9:0.5*div:9;
1173        ind=find((ord*values-MaxA)<0 & (ord*values-MinA)>0);
1174    end
1175    siz2=size(ind,2);
1176%     siz2=siz(2)
1177    div=div/10;
1178end
1179YTick=ord*values(ind);
1180end
1181
[356]1182%'proj_grid': project  fields with unstructured coordinantes on a regular grid
1183% -------------------------------------------------------------------------
1184% function [A,rangx,rangy]=proj_grid(vec_X,vec_Y,vec_A,rgx_in,rgy_in,npxy_in)
1185
1186
1187function [A,rangx,rangy]=proj_grid(vec_X,vec_Y,vec_A,rgx_in,rgy_in,npxy_in)
1188if length(vec_Y)<2
1189    msgbox_uvmat('ERROR','less than 2 points in proj_grid.m');
1190    return;
1191end
1192diffy=diff(vec_Y); %difference dy=vec_Y(i+1)-vec_Y(i)
1193index=find(diffy);% find the indices of vec_Y after wich a change of horizontal line occurs(diffy non zero)
1194if isempty(index); msgbox_uvmat('ERROR','points aligned along abscissa in proj_grid.m'); return; end;%points aligned% A FAIRE: switch to line plot.
1195diff2=diff(diffy(index));% diff2 = fluctuations of the detected vertical grid mesh dy
1196if max(abs(diff2))>0.001*abs(diffy(index(1))) % if max(diff2) is larger than 1/1000 of the first mesh dy
1197    % the data are not regularly spaced and must be interpolated  on a regular grid
1198    if exist('rgx_in','var') & ~isempty (rgx_in) & isnumeric(rgx_in) & length(rgx_in)==2%  positions imposed from input
1199        rangx=rgx_in; % first and last positions
1200        rangy=rgy_in;
1201%             npxy=npxy_in;
1202        dxy(1)=1/(npxy_in(1)-1);%grid mesh in y
1203        dxy(2)=1/(npxy_in(2)-1);%grid mesh in x
1204        dxy(1)=(rangy(2)-rangy(1))/(npxy_in(1)-1);%grid mesh in y
1205        dxy(2)=(rangx(2)-rangx(1))/(npxy_in(2)-1);%grid mesh in x
1206    else % interpolation grid automatically determined
1207        rangx(1)=min(vec_X);
1208        rangx(2)=max(vec_X);
1209        rangy(2)=min(vec_Y);
1210        rangy(1)=max(vec_Y);
1211        dxymod=sqrt((rangx(2)-rangx(1))*(rangy(1)-rangy(2))/length(vec_X));
1212        dxy=[-dxymod/4 dxymod/4];% increase the resolution 4 times
1213    end
1214    xi=[rangx(1):dxy(2):rangx(2)];
1215    yi=[rangy(1):dxy(1):rangy(2)];
1216    [XI,YI]=meshgrid(xi,yi);% creates the matrix of regular coordinates
1217    A=griddata_uvmat(vec_X,vec_Y,vec_A,xi,yi');
1218    A=reshape(A,length(yi),length(xi));
1219else
1220    x=vec_X(1:index(1));% the set of abscissa (obtained on the first line)
1221    indexend=index(end);% last vector index of line change
1222    ymax=vec_Y(indexend+1);% y coordinate AFTER line change
1223    ymin=vec_Y(index(1));
1224    %y=[vec_Y(index) ymax]; % the set of y ordinates including the last one
1225    y=vec_Y(index);
1226    y(length(y)+1)=ymax;
1227    nx=length(x);   %number of grid points in x
1228    ny=length(y);   % number of grid points in y
1229    B=(reshape(vec_A,nx,ny))'; %vec_A reshaped as a rectangular matrix
1230    [X,Y]=meshgrid(x,y);% positions X and Y also reshaped as matrix
1231
1232    %linear interpolation to improve the image resolution and/or adjust
1233    %to prescribed positions
1234    test_interp=1;
1235    if exist('rgx_in','var') & ~isempty (rgx_in) & isnumeric(rgx_in) & length(rgx_in)==2%  positions imposed from input
1236        rangx=rgx_in; % first and last positions
1237        rangy=rgy_in;
1238        npxy=npxy_in;
1239    else       
1240        rangx=[vec_X(1) vec_X(nx)];% first and last position found for x
1241%             rangy=[ymin ymax];
1242          rangy=[max(ymax,ymin) min(ymax,ymin)];
1243        if max(nx,ny) <= 64 & isequal(npxy_in,'np>256')
1244            npxy=[8*ny 8*nx];% increase the resolution 8 times
1245        elseif max(nx,ny) <= 128 & isequal(npxy_in,'np>256')
1246            npxy=[4*ny 4*nx];% increase the resolution 4 times
1247        elseif max(nx,ny) <= 256 & isequal(npxy_in,'np>256')
1248            npxy=[2*ny 2*nx];% increase the resolution 2 times
1249        else
1250            npxy=[ny nx];
1251            test_interp=0; % no interpolation done
1252        end
1253    end
1254    if test_interp==1%if we interpolate
1255        xi=[rangx(1):(rangx(2)-rangx(1))/(npxy(2)-1):rangx(2)];
1256        yi=[rangy(1):(rangy(2)-rangy(1))/(npxy(1)-1):rangy(2)];
1257        [XI,YI]=meshgrid(xi,yi);
1258        A = interp2(X,Y,B,XI,YI);
1259    else %no interpolation for a resolution higher than 256
1260        A=B;
1261        XI=X;
1262        YI=Y;
1263    end
1264end
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