source: trunk/src/plot_field.m @ 397

Last change on this file since 397 was 397, checked in by sommeria, 9 years ago

civ_matlab and patch improved, changes in the management of interpolation (still in progress).
adapatation to movies (use of VideoReader?)

File size: 53.1 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%   haxes: handle of the plotting axes to update with the new plot. If this input is absent or not a valid axes handle, a new figure is created.
44%
45%   PlotParam: structure containing the parameters for plotting, as read on the uvmat or view_field GUI (by function 'read_GUI.m').
46%      Contains three substructures:
47%     .Coordinates: coordinate parameters:
48%           .CheckFixLimits:=0 (default) adjust axes limit to the X,Y data, =1: preserves the previous axes limits
49%     .Coordinates.CheckFixEqual: =0 (default):automatic adjustment of the graph, keep 1 to 1 aspect ratio for x and y scales.
50%            --scalars--
51%    .Scalar.MaxA: upper bound (saturation color) for the scalar representation, max(field) by default
52%    .Scalar.MinA: lower bound (saturation) for the scalar representation, min(field) by default
53%    .Scalar.CheckFixScal: =0 (default) lower and upper bounds of the scalar representation set to the min and max of the field
54%               =1 lower and upper bound imposed by .AMax and .MinA
55%    .Scalar.CheckBW= 1 black and white representation imposed, =0 by default.
56%    .Scalar.CheckContours= 1: represent scalars by contour plots (Matlab function 'contour'); =0 by default
57%    .IncrA : contour interval
58%            -- vectors--
59%    .Vectors.VecScale: scale for the vector representation
60%    .Vectors.CheckFixVec: =0 (default) automatic length for vector representation, =1: length set by .VecScale
61%    .Vectors.CheckHideFalse= 0 (default) false vectors represented in magenta, =1: false vectors not represented;
62%    .Vectors.CheckHideWarning= 0 (default) vectors marked by warnflag~=0 marked in black, 1: no warning representation;
63%    .Vectors.CheckDecimate4 = 0 (default) all vectors reprtesented, =1: half of  the vectors represented along each coordinate
64%         -- vector color--
65%    .Vectors.ColorCode= 'black','white': imposed color  (default ='blue')
66%                        'rgb', : three colors red, blue, green depending
67%                        on thresholds .colcode1 and .colcode2 on the input  scalar value (C)
68%                        'brg': like rgb but reversed color order (blue, green, red)
69%                        '64 colors': continuous color from blue to red (multijet)
70%    .Vectors.colcode1 : first threshold for rgb, first value for'continuous'
71%    .Vectors.colcode2 : second threshold for rgb, last value (saturation) for 'continuous'
72%    .Vectors.CheckFixedCbounds;  =0 (default): the bounds on C representation are min and max, =1: they are fixed by .Minc and .MaxC
73%    .Vectors.MinC = imposed minimum of the scalar field used for vector color;
74%    .Vectors.MaxC = imposed maximum of the scalar field used for vector color;
75%
76% PosColorbar: if not empty, display a colorbar for B&W images
77%               imposed position of the colorbar (ex [0.821 0.471 0.019 0.445])
78
79%AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA
80%  Copyright Joel Sommeria, 2008, LEGI / CNRS-UJF-INPG, sommeria@coriolis-legi.org.
81%AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA
82%     This file is part of the toolbox UVMAT.
83%
84%     UVMAT is free software; you can redistribute it and/or modify
85%     it under the terms of the GNU General Public License as published by
86%     the Free Software Foundation; either version 2 of the License, or
87%     (at your option) any later version.
88%
89%     UVMAT is distributed in the hope that it will be useful,
90%     but WITHOUT ANY WARRANTY; without even the implied warranty of
91%     MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
92%     GNU General Public License (file UVMAT/COPYING.txt) for more details.
93%AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA
94
95function [PlotType,PlotParamOut,haxes]= plot_field(Data,haxes,PlotParam,PosColorbar)
96
97%% default input and output
98if ~exist('PlotParam','var'),PlotParam=[];end;
99if ~exist('PosColorbar','var'),PosColorbar=[];end;
100PlotType='text'; %default
101PlotParamOut=PlotParam;%default
102Coordinates=[];
103if isfield(PlotParam,'Coordinates')
104Coordinates=PlotParam.Coordinates;
105end
106
107%% check input structure
108index_2D=[];
109index_1D=[];
110index_0D=[];
111[Data,errormsg]=check_field_structure(Data);
112if ~isempty(errormsg)
113    msgbox_uvmat('ERROR',['input of plot_field/check_field_structure: ' errormsg])
114    display(['input of plot_field/check_field_structure: ' errormsg])
115    return
116end
117% check the cells of fields :
118[CellVarIndex,NbDim,VarType,errormsg]=find_field_indices(Data);
119if ~isempty(errormsg)
120    msgbox_uvmat('ERROR',['input of plot_field/find_field_indices: ' errormsg]);
121    return
122end
123index_2D=find(NbDim==2,2);%find 2D fields (at most 2)
124index_3D=find(NbDim>2,1);
125if ~isempty(index_3D)
126    if isfield(Data,'NbDim')&& isequal(Data.NbDim,2)
127        index_2D=[index_2D index_3D];
128    else
129        msgbox_uvmat('ERROR','volume plot not implemented yet');
130        return
131    end
132end
133index_1D=find(NbDim==1);
134index_0D=find(NbDim==0);
135%remove coordinates variables from 1D plot
136if ~isempty(index_2D)
137    for ivar=1:length(index_1D)
138        if isequal(CellVarIndex{index_1D(ivar)},VarType{index_1D(ivar)}.coord)
139            index_1D(ivar)=0;
140        end
141    end
142    index_1D=index_1D(index_1D>0);
143end
144
145%% pure text display
146if isempty(index_2D) && isempty(index_1D)% no plot
147    hfig=findobj(allchild(0),'Tag','fig_text_display');
148    if isempty(hfig)
149        hfig=figure('name','text_display','Tag','fig_text_display');
150    end
151    htext=findobj(hfig,'Tag','text_display');
152    if isempty(htext)
153        htext=uicontrol('Style','listbox','Units','normalized', 'Position',[0.05 0.09 0.9 0.71],'Tag','text_display');
154    end
155    if isempty(index_0D)
156        set(htext,'String',{''})
157    else
158        [errormsg]=plot_text(Data,CellVarIndex(index_0D),VarType(index_0D),htext);
159    end
160    haxes=[];
161end
162
163%% test axes and figure
164if ~isempty(index_2D)|| ~isempty(index_1D)%  plot
165    testnewfig=1;%test to create a new figure (default)
166    testzoomaxes=0;%test for the existence of a zoom secondary figure attached to the plotting axes
167    if exist('haxes','var')
168        if ishandle(haxes)
169            if isequal(get(haxes,'Type'),'axes')
170                testnewfig=0;
171                AxeData=get(haxes,'UserData');
172                if isfield(AxeData,'ZoomAxes')&& ishandle(AxeData.ZoomAxes)
173                    if isequal(get(AxeData.ZoomAxes,'Type'),'axes')
174                        testzoomaxes=1;
175                        zoomaxes=AxeData.ZoomAxes;
176                    end
177                end
178            end
179        end
180    end
181    % create a new figure and axes if the plotting axes does not exist
182    if testnewfig
183        hfig=figure;
184        set(hfig,'Units','normalized')
185        haxes=axes;
186        set(haxes,'position',[0.13,0.2,0.775,0.73])
187        PlotParam.NextPlot='add'; %parameter for plot_profile and plot_his
188    else
189        hfig=get(haxes,'parent');
190        set(0,'CurrentFigure',hfig)% the parent of haxes becomes the current figure
191        set(hfig,'CurrentAxes',haxes)%  haxes becomes the current axes of the parent figure
192    end
193   
194    %% set axes properties
195    if isfield(Coordinates,'CheckFixLimits') && isequal(Coordinates.CheckFixLimits,1)  %adjust the graph limits
196        set(haxes,'XLimMode', 'manual')
197        set(haxes,'YLimMode', 'manual')
198    else
199        set(haxes,'XLimMode', 'auto')
200        set(haxes,'YLimMode', 'auto')
201    end
202    if ~isfield(Coordinates,'CheckFixEqual')&& isfield(Data,'CoordUnit')
203        Coordinates.CheckFixEqual=1;
204    end
205    if isfield(Coordinates,'CheckFixEqual') && isequal(Coordinates.CheckFixEqual,1)
206        set(haxes,'DataAspectRatioMode','manual')
207        set(haxes,'DataAspectRatio',[1 1 1])
208    else
209        set(haxes,'DataAspectRatioMode','auto')%automatic aspect ratio
210    end
211    errormsg='';
212   
213    %% plot if the input field is valid
214    AxeData=get(haxes,'UserData');
215    if isempty(index_2D)
216        plot_plane([],[],[],haxes);%removes images or vector plots if any
217    else
218        [tild,PlotParamOut,PlotType,errormsg]=plot_plane(Data,CellVarIndex(index_2D),VarType(index_2D),haxes,PlotParam,PosColorbar);
219        AxeData.NbDim=2;
220        if testzoomaxes && isempty(errormsg)
221            [zoomaxes,PlotParamOut,tild,errormsg]=plot_plane(Data,CellVarIndex(index_2D),VarType(index_2D),zoomaxes,PlotParam,PosColorbar);
222            AxeData.ZoomAxes=zoomaxes;
223        end
224    end
225    if isempty(index_1D)
226        if ~isempty(haxes)
227            plot_profile([],[],[],haxes);%
228        end
229    else
230        Coordinates=plot_profile(Data,CellVarIndex(index_1D),VarType(index_1D),haxes,Coordinates);%
231        if testzoomaxes
232            [zoomaxes,Coordinates]=plot_profile(Data,CellVarIndex(index_1D),VarType(index_1D),zoomaxes,PlotParam.Coordinates);
233            AxeData.ZoomAxes=zoomaxes;
234        end
235        if ~isempty(Coordinates)
236            PlotParamOut.Coordinates=Coordinates;
237        end
238        PlotType='line';
239    end
240    % text display
241    htext=findobj(hfig,'Tag','text_display');
242    if ~isempty(htext)
243        if isempty(index_0D)
244            set(htext,'String',{''})
245        else
246            [errormsg]=plot_text(Data,CellVarIndex(index_0D),VarType(index_0D),htext);
247        end
248    end
249end
250
251%% display error message
252if ~isempty(errormsg)
253    msgbox_uvmat('ERROR', errormsg)
254end
255
256%% update the parameters stored in AxeData
257if ishandle(haxes)
258    if isfield(PlotParamOut,'MinX')
259        AxeData.RangeX=[PlotParamOut.MinX PlotParamOut.MaxX];%'[PlotParamOut.MinX PlotParamOut.MaxX];
260        AxeData.RangeY=[PlotParamOut.MinY PlotParamOut.MaxY];%[PlotParamOut.MinY PlotParamOut.MaxY]
261    end
262    set(haxes,'UserData',AxeData)
263end
264
265%% update the plotted field stored in parent figure
266
267FigData=get(hfig,'UserData');
268if strcmp(get(hfig,'tag'),'view_field')
269    set(hfig,'UserData',[]); % refresh user data in view_field (set by civ/TestCiv )
270end
271tagaxes=get(haxes,'tag');% tag of the current plot axis
272if isfield(FigData,tagaxes)
273    FigData.(tagaxes)=Data;
274    set(hfig,'UserData',FigData)
275end
276
277%-------------------------------------------------------------------
278function errormsg=plot_text(FieldData,CellVarIndex,VarTypeCell,htext)
279%-------------------------------------------------------------------
280errormsg=[];
281txt_cell={};
282for icell=1:length(CellVarIndex)
283    VarIndex=CellVarIndex{icell};%  indices of the selected variables in the list data.ListVarName
284    for ivar=1:length(VarIndex)
285        checkancillary=0;
286        if length(FieldData.VarAttribute)>=VarIndex(ivar)
287            VarAttribute=FieldData.VarAttribute{VarIndex(ivar)};
288            if isfield(VarAttribute,'Role')&&(strcmp(VarAttribute.Role,'ancillary')||strcmp(VarAttribute.Role,'coord_tps')...
289                    ||strcmp(VarAttribute.Role,'vector_x_tps')||strcmp(VarAttribute.Role,'vector_y_tps'))
290                checkancillary=1;
291            end
292        end
293        if ~checkancillary% does not display variables with attribute '.Role=ancillary'
294            VarName=FieldData.ListVarName{VarIndex(ivar)};
295            VarValue=FieldData.(VarName);
296            if size(VarValue,1)~=1
297                VarValue=VarValue';
298            end
299            if size(VarValue,1)==1
300            txt=[VarName '=' num2str(VarValue)];
301            txt_cell=[txt_cell;{txt}];
302            end
303        end
304    end
305end
306set(htext,'String',txt_cell)
307set(htext,'UserData',txt_cell)% for storage during mouse display
308
309%-------------------------------------------------------------------
310function CoordinatesOut=plot_profile(data,CellVarIndex,VarType,haxes,Coordinates)
311%-------------------------------------------------------------------
312
313if ~exist('Coordinates','var')
314    Coordinates=[];
315end
316CoordinatesOut=Coordinates; %default
317hfig=get(haxes,'parent');
318%suppress existing plot isf empty data
319if isempty(data)
320    hplot=findobj(haxes,'tag','plot_line');
321    if ~isempty(hplot)
322        delete(hplot)
323    end
324    hlegend=findobj(hfig,'tag','legend');
325    if ~isempty(hlegend)
326        delete(hlegend)
327    end
328    return
329end
330
331ColorOrder=[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];
332set(haxes,'ColorOrder',ColorOrder)
333if isfield(Coordinates,'NextPlot')
334    set(haxes,'NextPlot',Coordinates.NextPlot)
335end
336% adjust the size of the plot to include the whole field,
337
338legend_str={};
339
340%% prepare the string for plot command
341plotstr='hhh=plot(';
342coord_x_index=[];
343xtitle='';
344ytitle='';
345test_newplot=1;
346
347%loop on input  fields
348for icell=1:length(CellVarIndex)
349    VarIndex=CellVarIndex{icell};%  indices of the selected variables in the list data.ListVarName
350    if ~isempty(VarType{icell}.coord_x)
351        coord_x_index=VarType{icell}.coord_x;
352    else
353        coord_x_index_cell=VarType{icell}.coord(1);
354        if isequal(coord_x_index_cell,0)
355             continue  % the cell has no abscissa, skip it
356        end
357        coord_x_index=coord_x_index_cell;
358    end
359    testplot=ones(size(data.ListVarName));%default test for plotted variables
360    xtitle=[xtitle data.ListVarName{coord_x_index}];
361    eval(['coord_x{icell}=data.' data.ListVarName{coord_x_index} ';']);%coordinate variable set as coord_x
362    if isfield(data,'VarAttribute')&& numel(data.VarAttribute)>=coord_x_index && isfield(data.VarAttribute{coord_x_index},'units')
363        xtitle=[xtitle '(' data.VarAttribute{coord_x_index}.units '), '];
364    else
365        xtitle=[xtitle ', '];
366    end
367    eval(['coord_x{icell}=data.' data.ListVarName{coord_x_index} ';']);%coordinate variable set as coord_x
368    XMin(icell)=min(coord_x{icell});
369    XMax(icell)=max(coord_x{icell});
370    testplot(coord_x_index)=0;
371    if ~isempty(VarType{icell}.ancillary')
372        testplot(VarType{icell}.ancillary)=0;
373    end
374    if ~isempty(VarType{icell}.warnflag')
375        testplot(VarType{icell}.warnflag)=0;
376    end
377    if isfield(data,'VarAttribute')
378        VarAttribute=data.VarAttribute;
379        for ivar=1:length(VarIndex)
380            if length(VarAttribute)>=VarIndex(ivar) && isfield(VarAttribute{VarIndex(ivar)},'long_name')
381                plotname{VarIndex(ivar)}=VarAttribute{VarIndex(ivar)}.long_name;
382            else
383                plotname{VarIndex(ivar)}=data.ListVarName{VarIndex(ivar)};%name for display in plot A METTRE
384            end
385        end
386    end
387    if ~isempty(VarType{icell}.discrete')
388        charplot_0='''+''';
389    else
390        charplot_0='''-''';
391    end
392    YMin=0;
393    YMax=1;%default
394    for ivar=1:length(VarIndex)
395        if testplot(VarIndex(ivar))
396            VarName=data.ListVarName{VarIndex(ivar)};
397            ytitle=[ytitle VarName];
398            if isfield(data,'VarAttribute')&& numel(data.VarAttribute)>=VarIndex(ivar) && isfield(data.VarAttribute{VarIndex(ivar)},'units')
399                ytitle=[ytitle '(' data.VarAttribute{VarIndex(ivar)}.units '), '];
400            else
401                ytitle=[ytitle ', '];
402            end
403            eval(['data.' VarName '=squeeze(data.' VarName ');'])
404            %eval(['min(data.' VarName ')'])
405            YMin(ivar)=min(min(data.(VarName)));
406            YMax(ivar)=max(max(data.(VarName)));
407            plotstr=[plotstr 'coord_x{' num2str(icell) '},data.' VarName ',' charplot_0 ','];
408            eval(['nbcomponent2=size(data.' VarName ',2);']);
409            eval(['nbcomponent1=size(data.' VarName ',1);']);
410            if numel(coord_x{icell})==2
411                coord_x{icell}=linspace(coord_x{icell}(1),coord_x{icell}(2),nbcomponent1);
412            end
413            if nbcomponent1==1|| nbcomponent2==1
414                legend_str=[legend_str {VarName}]; %variable with one component
415            else  %variable with severals  components
416                for ic=1:min(nbcomponent1,nbcomponent2)
417                    legend_str=[legend_str [VarName '_' num2str(ic)]]; %variable with severals  components
418                end                                                   % labeled by their index (e.g. color component)
419            end
420        end
421    end
422    YMin_cell(icell)=min(YMin);
423    YMax_cell(icell)=max(YMax);
424end
425
426%% activate the plot
427if test_newplot && ~isequal(plotstr,'hhh=plot(') 
428    set(hfig,'CurrentAxes',haxes)
429    tag=get(haxes,'tag');   
430    %%%
431    plotstr=[plotstr '''tag'',''plot_line'');'];   
432    eval(plotstr)                  %execute plot (instruction  plotstr)
433    %%%
434    set(haxes,'tag',tag)
435    grid(haxes, 'on')
436    hxlabel=xlabel(xtitle(1:end-2));% xlabel (removes ', ' at the end)
437    set(hxlabel,'Interpreter','none')% desable tex interpreter
438    if length(legend_str)>=1
439        hylabel=ylabel(ytitle(1:end-2));% ylabel (removes ', ' at the end)
440        set(hylabel,'Interpreter','none')% desable tex interpreter
441    end
442    if ~isempty(legend_str)
443        hlegend=findobj(hfig,'Tag','legend');
444        if isempty(hlegend)
445            hlegend=legend(legend_str);
446            txt=ver('MATLAB');
447            Release=txt.Release;
448            relnumb=str2double(Release(3:4));% should be changed to Version for better compatibility
449            if relnumb >= 14
450                set(hlegend,'Interpreter','none')% desable tex interpreter
451            end
452        else
453            legend_old=get(hlegend,'String');
454            if isequal(size(legend_old,1),size(legend_str,1))&&~isequal(legend_old,legend_str)
455                set(hlegend,'String',[legend_old legend_str]);
456            end
457        end
458    end
459    title_str='';
460    if isfield(data,'filename')
461       [Path, title_str, ext]=fileparts(data.filename);
462       title_str=[title_str ext];
463    end
464    if isfield(data,'Action')
465        if ~isequal(title_str,'')
466            title_str=[title_str ', '];
467        end
468        title_str=[title_str data.Action];
469    end
470    htitle=title(title_str);
471    txt=ver('MATLAB');
472    Release=txt.Release;
473    relnumb=str2double(Release(3:4));
474    if relnumb >= 14
475        set(htitle,'Interpreter','none')% desable tex interpreter
476    end
477end
478
479%% determine axes bounds
480%CoordinatesOut.RangeX=[min(XMin) max(XMax)];
481%CoordinatesOut.RangeY=[min(YMin_cell) max(YMax_cell)];
482fix_lim=isfield(Coordinates,'CheckFixLimits') && Coordinates.CheckFixLimits;
483if fix_lim
484    if ~isfield(Coordinates,'MinX')||~isfield(Coordinates,'MaxX')||~isfield(Coordinates,'MinY')||~isfield(Coordinates,'MaxY')
485        fix_lim=0; %free limits if lits are not set,
486    end
487end
488if fix_lim
489    set(haxes,'XLim',[Coordinates.MinX Coordinates.MaxX])
490    set(haxes,'YLim',[Coordinates.MinY Coordinates.MaxY])
491else   
492    CoordinatesOut.MinX=min(XMin);
493    CoordinatesOut.MaxX=max(XMax);
494    CoordinatesOut.MinY=min(YMin_cell);
495    CoordinatesOut.MaxY=max(YMax_cell);
496end
497
498%-------------------------------------------------------------------
499function [haxes,PlotParamOut,PlotType,errormsg]=plot_plane(Data,CellVarIndex,VarTypeCell,haxes,PlotParam,PosColorbar)
500%-------------------------------------------------------------------
501grid(haxes, 'off')
502%default plotting parameters
503PlotType='plane';%default
504if ~exist('PlotParam','var')
505    PlotParam=[];
506end
507if ~isfield(PlotParam,'Coordinates')
508    PlotParam.Coordinates=[];
509end
510if ~isfield(PlotParam,'Scalar')
511    PlotParam.Scalar=[];
512end
513if ~isfield(PlotParam,'Vectors')
514    PlotParam.Vectors=[];
515end
516
517PlotParamOut=PlotParam;%default
518hfig=get(haxes,'parent');
519hcol=findobj(hfig,'Tag','Colorbar'); %look for colorbar axes
520hima=findobj(haxes,'Tag','ima');% search existing image in the current axes
521errormsg='';%default
522test_ima=0; %default: test for image or map plot
523test_vec=0; %default: test for vector plots
524test_black=0;
525test_false=0;
526test_C=0;
527XName='';
528x_units='';
529YName='';
530y_units='';
531for icell=1:length(CellVarIndex) % length(CellVarIndex) =1 or 2 (from the calling function)
532    VarType=VarTypeCell{icell};
533    ivar_X=VarType.coord_x; % defines (unique) index for the variable representing unstructured x coordinate (default =[])
534    ivar_Y=VarType.coord_y; % defines (unique)index for the variable representing unstructured y coordinate (default =[])
535    ivar_U=VarType.vector_x; % defines (unique) index for the variable representing x vector component (default =[])
536    ivar_V=VarType.vector_y; % defines (unique) index for the variable representing y vector component (default =[])
537    ivar_C=[VarType.scalar VarType.image VarType.color VarType.ancillary]; %defines index (indices) for the scalar or ancillary fields
538    if numel(ivar_C)>1
539        errormsg= 'error in plot_field: too many scalar inputs';
540        return
541    end
542    ivar_F=VarType.warnflag; %defines index (unique) for warning flag variable
543    ivar_FF=VarType.errorflag; %defines index (unique) for error flag variable
544    ind_coord=find(VarType.coord);
545    if numel(ind_coord)==2
546        VarType.coord=VarType.coord(ind_coord);
547    end
548    if ~isempty(ivar_U) && ~isempty(ivar_V)% vector components detected
549        if test_vec
550            errormsg='error in plot_field: attempt to plot two vector fields';
551            return
552        else
553            test_vec=1;
554            vec_U=Data.(Data.ListVarName{ivar_U});
555            vec_V=Data.(Data.ListVarName{ivar_V});
556            if ~isempty(ivar_X) && ~isempty(ivar_Y)% 2D field (with unstructured coordinates or structured ones (then ivar_X and ivar_Y empty)
557                XName=Data.ListVarName{ivar_X};
558                YName=Data.ListVarName{ivar_Y};
559                eval(['vec_X=reshape(Data.' XName ',[],1);'])
560                eval(['vec_Y=reshape(Data.' YName ',[],1);'])
561            elseif numel(VarType.coord)==2 && ~isequal(VarType.coord,[0 0]);%coordinates defines by dimension variables
562                eval(['y=Data.' Data.ListVarName{VarType.coord(1)} ';'])
563                eval(['x=Data.' Data.ListVarName{VarType.coord(2)} ';'])
564                if numel(y)==2 % y defined by first and last values on aregular mesh
565                    y=linspace(y(1),y(2),size(vec_U,1));
566                end
567                if numel(x)==2 % y defined by first and last values on aregular mesh
568                    x=linspace(x(1),x(2),size(vec_U,2));
569                end
570                [vec_X,vec_Y]=meshgrid(x,y); 
571            else
572                errormsg='error in plot_field: invalid coordinate definition for vector field';
573                return
574            end
575            if ~isempty(ivar_C)
576                 eval(['vec_C=Data.' Data.ListVarName{ivar_C} ';']) ;
577                 vec_C=reshape(vec_C,1,numel(vec_C));
578                 test_C=1;
579            end
580            if ~isempty(ivar_F)%~(isfield(PlotParam.Vectors,'HideWarning')&& isequal(PlotParam.Vectors.HideWarning,1))
581                if test_vec
582                    vec_F=Data.(Data.ListVarName{ivar_F}); % warning flags for  dubious vectors
583                    if  ~(isfield(PlotParam.Vectors,'CheckHideWarning') && isequal(PlotParam.Vectors.CheckHideWarning,1))
584                        test_black=1;
585                    end
586                end
587            end
588            if ~isempty(ivar_FF) %&& ~test_false
589                if test_vec% TODO: deal with FF for structured coordinates
590                    vec_FF=Data.(Data.ListVarName{ivar_FF}); % flags for false vectors
591                end
592            end
593        end
594    elseif ~isempty(ivar_C) %scalar or image
595        if test_ima
596             errormsg='attempt to plot two scalar fields or images';
597            return
598        end
599        eval(['A=squeeze(Data.' Data.ListVarName{ivar_C} ');']) ;% scalar represented as color image
600        test_ima=1;
601        if ~isempty(ivar_X) && ~isempty(ivar_Y)% 2D field (with unstructured coordinates  (then ivar_X and ivar_Y not empty)
602            A=reshape(A,1,[]);
603            XName=Data.ListVarName{ivar_X};
604            YName=Data.ListVarName{ivar_Y};
605            eval(['AX=reshape(Data.' XName ',1,[]);'])
606            eval(['AY=reshape(Data.' YName ',1,[]);'])
607            [A,AX,AY]=proj_grid(AX',AY',A',[],[],'np>256');  % interpolate on a grid 
608            if isfield(Data,'VarAttribute')
609                if numel(Data.VarAttribute)>=ivar_X && isfield(Data.VarAttribute{ivar_X},'units')
610                    x_units=[' (' Data.VarAttribute{ivar_X}.units ')'];
611                end
612                if numel(Data.VarAttribute)>=ivar_Y && isfield(Data.VarAttribute{ivar_Y},'units')
613                    y_units=[' (' Data.VarAttribute{ivar_Y}.units ')'];
614                end
615            end       
616        elseif numel(VarType.coord)==2 %structured coordinates
617            XName=Data.ListVarName{VarType.coord(2)};
618            YName=Data.ListVarName{VarType.coord(1)};
619            eval(['AY=Data.' Data.ListVarName{VarType.coord(1)} ';'])
620            eval(['AX=Data.' Data.ListVarName{VarType.coord(2)} ';'])
621            test_interp_X=0; %default, regularly meshed X coordinate
622            test_interp_Y=0; %default, regularly meshed Y coordinate
623            if isfield(Data,'VarAttribute')
624                if numel(Data.VarAttribute)>=VarType.coord(2) && isfield(Data.VarAttribute{VarType.coord(2)},'units')
625                    x_units=Data.VarAttribute{VarType.coord(2)}.units;
626                end
627                if numel(Data.VarAttribute)>=VarType.coord(1) && isfield(Data.VarAttribute{VarType.coord(1)},'units')
628                    y_units=Data.VarAttribute{VarType.coord(1)}.units;
629                end
630            end 
631            if numel(AY)>2
632                DAY=diff(AY);
633                DAY_min=min(DAY);
634                DAY_max=max(DAY);
635                if sign(DAY_min)~=sign(DAY_max);% =1 for increasing values, 0 otherwise
636                     errormsg=['errror in plot_field.m: non monotonic dimension variable ' Data.ListVarName{VarType.coord(1)} ];
637                      return
638                end
639                test_interp_Y=(DAY_max-DAY_min)> 0.0001*abs(DAY_max);
640            end
641            if numel(AX)>2
642                DAX=diff(AX);
643                DAX_min=min(DAX);
644                DAX_max=max(DAX);
645                if sign(DAX_min)~=sign(DAX_max);% =1 for increasing values, 0 otherwise
646                     errormsg=['errror in plot_field.m: non monotonic dimension variable ' Data.ListVarName{VarType.coord(2)} ];
647                      return
648                end
649                test_interp_X=(DAX_max-DAX_min)> 0.0001*abs(DAX_max);
650            end 
651            if test_interp_Y         
652                npxy(1)=max([256 floor((AY(end)-AY(1))/DAY_min) floor((AY(end)-AY(1))/DAY_max)]);
653                yI=linspace(AY(1),AY(end),npxy(1));
654                if ~test_interp_X
655                    xI=linspace(AX(1),AX(end),size(A,2));%default
656                    AX=xI;
657                end
658            end
659            if test_interp_X 
660                npxy(2)=max([256 floor((AX(end)-AX(1))/DAX_min) floor((AX(end)-AX(1))/DAX_max)]);
661                xI=linspace(AX(1),AX(end),npxy(2));   
662                if ~test_interp_Y
663                   yI=linspace(AY(1),AY(end),size(A,1));
664                   AY=yI;
665                end
666            end
667            if test_interp_X || test_interp_Y               
668                [AX2D,AY2D]=meshgrid(AX,AY);
669                A=interp2(AX2D,AY2D,double(A),xI,yI');
670            end
671            AX=[AX(1) AX(end)];% keep only the lower and upper bounds for image represnetation
672            AY=[AY(1) AY(end)];
673        else
674            errormsg='error in plot_field: invalid coordinate definition ';
675            return
676        end
677    end
678    %define coordinates as CoordUnits, if not defined as attribute for each variable
679    if isfield(Data,'CoordUnit')
680        if isempty(x_units)
681            x_units=Data.CoordUnit;
682        end
683        if isempty(y_units)
684            y_units=Data.CoordUnit;
685        end
686    end
687       
688end
689
690%%   image or scalar plot %%%%%%%%%%%%%%%%%%%%%%%%%%
691
692if isfield(PlotParam.Scalar,'ListContour')
693    CheckContour=strcmp(PlotParam.Scalar.ListContour,'contours');
694else
695    CheckContour=0; %default
696end
697PlotParamOut=PlotParam; %default
698if test_ima
699    % distinguish B/W and color images
700    np=size(A);%size of image
701    siz=numel(np);
702    if siz>3
703       errormsg=['unrecognized scalar type: ' num2str(siz) ' dimensions'];
704            return
705    end
706    if siz==3
707        if np(3)==1
708            siz=2;%B W image
709        elseif np(3)==3
710            siz=3;%color image
711        else
712            errormsg=['unrecognized scalar type in plot_field: considered as 2D field with ' num2str(np(3)) ' color components'];
713            return
714        end
715    end
716   
717    %set the color map
718    if isfield(PlotParam.Scalar,'CheckBW')
719        BW=PlotParam.Scalar.CheckBW; %test for BW gray scale images
720    else
721        BW=(siz==2) && (isa(A,'uint8')|| isa(A,'uint16'));% non color images represented in gray scale by default
722    end
723   
724    %case of grey level images or contour plot
725    if siz==2
726        if ~isfield(PlotParam.Scalar,'CheckFixScalar')
727            PlotParam.Scalar.CheckFixScalar=0;%default
728        end
729        if ~isfield(PlotParam.Scalar,'MinA')
730            PlotParam.Scalar.MinA=[];%default
731        end
732        if ~isfield(PlotParam.Scalar,'MaxA')
733            PlotParam.Scalar.MaxA=[];%default
734        end
735        Aline=[];
736        if ~PlotParam.Scalar.CheckFixScalar ||isempty(PlotParam.Scalar.MinA)||~isa(PlotParam.Scalar.MinA,'double')  %correct if there is no numerical data in edit box
737            Aline=reshape(A,1,[]);
738            Aline=Aline(~isnan(A));
739            if isempty(Aline)
740                 errormsg='NaN input scalar or image in plot_field';
741                return
742            end
743            MinA=double(min(Aline));
744        else
745            MinA=PlotParam.Scalar.MinA;
746        end;
747        if ~PlotParam.Scalar.CheckFixScalar||isempty(PlotParam.Scalar.MaxA)||~isa(PlotParam.Scalar.MaxA,'double') %correct if there is no numerical data in edit box
748            if isempty(Aline)
749               Aline=reshape(A,1,[]);
750               Aline=Aline(~isnan(A));
751               if isempty(Aline)
752                 errormsg='NaN input scalar or image in plot_field';
753                return
754               end
755            end
756            MaxA=double(max(Aline));
757        else
758            MaxA=PlotParam.Scalar.MaxA; 
759        end;
760        PlotParamOut.Scalar.MinA=MinA;
761        PlotParamOut.Scalar.MaxA=MaxA;
762        % case of contour plot
763        if CheckContour
764            if ~isempty(hima) && ishandle(hima)
765                delete(hima)
766            end
767            if ~isfield(PlotParam.Scalar,'IncrA')
768                PlotParam.Scalar.IncrA=NaN;
769            end
770            if isempty(PlotParam.Scalar.IncrA)|| isnan(PlotParam.Scalar.IncrA)% | PlotParam.Scalar.AutoScal==0
771                cont=colbartick(MinA,MaxA);
772                intercont=cont(2)-cont(1);%default
773                PlotParamOut.Scalar.IncrA=intercont;
774            else
775               intercont=PlotParam.Scalar.IncrA;
776            end
777            B=A;           
778            abscontmin=intercont*floor(MinA/intercont);
779            abscontmax=intercont*ceil(MaxA/intercont);
780            contmin=intercont*floor(min(min(B))/intercont);
781            contmax=intercont*ceil(max(max(B))/intercont);
782            cont_pos_plus=0:intercont:contmax;
783            cont_pos_min=double(contmin):intercont:-intercont;
784            cont_pos=[cont_pos_min cont_pos_plus];
785            sizpx=(AX(end)-AX(1))/(np(2)-1);
786            sizpy=(AY(1)-AY(end))/(np(1)-1);
787            x_cont=AX(1):sizpx:AX(end); % pixel x coordinates for image display
788            y_cont=AY(1):-sizpy:AY(end); % pixel x coordinates for image display
789           % axes(haxes)% set the input axes handle as current axis
790    txt=ver('MATLAB');
791    Release=txt.Release;
792            relnumb=str2double(Release(3:4));
793            if relnumb >= 14
794                    vec=linspace(0,1,(abscontmax-abscontmin)/intercont);%define a greyscale colormap with steps intercont
795                map=[vec' vec' vec'];
796                colormap(map);
797                [var,hcontour]=contour(x_cont,y_cont,B,cont_pos);       
798                set(hcontour,'Fill','on')
799                set(hcontour,'LineStyle','none')
800                hold on
801            end
802            [var_p,hcontour_p]=contour(x_cont,y_cont,B,cont_pos_plus,'k-');
803            hold on
804            [var_m,hcontour_m]=contour(x_cont,y_cont,B,cont_pos_min,':');
805            set(hcontour_m,'LineColor',[1 1 1])
806            hold off
807            caxis([abscontmin abscontmax])
808            colormap(map);
809        end
810       
811        % set  colormap for  image display
812        if ~CheckContour
813            % rescale the grey levels with min and max, put a grey scale colorbar
814            B=A;
815            if BW
816                vec=linspace(0,1,255);%define a linear greyscale colormap
817                map=[vec' vec' vec'];
818                colormap(map);  %grey scale color map
819            else
820                colormap('default'); % standard faulse colors for div, vort , scalar fields
821            end
822        end
823       
824    % case of color images
825    else
826        if BW
827            B=uint16(sum(A,3));
828        else
829            B=uint8(A);
830        end
831        MinA=0;
832        MaxA=255;
833    end
834   
835    % display usual image
836    if ~CheckContour     
837        % interpolate field to increase resolution of image display
838        test_interp=1;
839        if max(np) <= 64
840            npxy=8*np;% increase the resolution 8 times
841        elseif max(np) <= 128
842            npxy=4*np;% increase the resolution 4 times
843        elseif max(np) <= 256
844            npxy=2*np;% increase the resolution 2 times
845        else
846            npxy=np;
847            test_interp=0; % no interpolation done
848        end
849        if test_interp==1%if we interpolate   
850            x=linspace(AX(1),AX(2),np(2));
851            y=linspace(AY(1),AY(2),np(1));
852            [X,Y]=meshgrid(x,y);
853            xi=linspace(AX(1),AX(2),npxy(2));
854            yi=linspace(AY(1),AY(2),npxy(1));
855            B = interp2(X,Y,double(B),xi,yi');
856        end           
857        % create new image if there  no image handle is found
858        if isempty(hima)
859            tag=get(haxes,'Tag');
860            if MinA<MaxA
861                hima=imagesc(AX,AY,B,[MinA MaxA]);
862            else % to deal with uniform field
863                hima=imagesc(AX,AY,B,[MaxA-1 MaxA]);
864            end
865            set(hima,'Tag','ima','HitTest','off')
866            set(haxes,'Tag',tag);%preserve the axes tag (removed by image fct !!!)     
867            uistack(hima, 'bottom')
868        % update an existing image
869        else
870            set(hima,'CData',B);
871            if MinA<MaxA
872                set(haxes,'CLim',[MinA MaxA])
873            else
874                set(haxes,'CLim',[MinA MaxA+1])
875            end
876            set(hima,'XData',AX);
877            set(hima,'YData',AY);
878        end
879    end
880    test_ima=1;
881   
882    %display the colorbar code for B/W images if Poscolorbar not empty
883    if siz==2 && exist('PosColorbar','var')&& ~isempty(PosColorbar)
884        if isempty(hcol)||~ishandle(hcol)
885             hcol=colorbar;%create new colorbar
886        end
887        if length(PosColorbar)==4
888                 set(hcol,'Position',PosColorbar)           
889        end
890        %YTick=0;%default
891        if MaxA>MinA
892            if CheckContour
893                colbarlim=get(hcol,'YLim');
894                scale_bar=(colbarlim(2)-colbarlim(1))/(abscontmax-abscontmin);               
895                YTick=cont_pos(2:end-1);
896                YTick_scaled=colbarlim(1)+scale_bar*(YTick-abscontmin);
897                set(hcol,'YTick',YTick_scaled);
898            elseif (isfield(PlotParam.Scalar,'CheckBW') && isequal(PlotParam.Scalar.CheckBW,1))||isa(A,'uint8')|| isa(A,'uint16')%images
899                hi=get(hcol,'children');
900                if iscell(hi)%multiple images in colorbar
901                    hi=hi{1};
902                end
903                set(hi,'YData',[MinA MaxA])
904                set(hi,'CData',(1:256)')
905                set(hcol,'YLim',[MinA MaxA])
906                YTick=colbartick(MinA,MaxA);
907                set(hcol,'YTick',YTick)               
908            else
909                hi=get(hcol,'children');
910                if iscell(hi)%multiple images in colorbar
911                    hi=hi{1};
912                end
913                set(hi,'YData',[MinA MaxA])
914                set(hi,'CData',(1:64)')
915                YTick=colbartick(MinA,MaxA);
916                set(hcol,'YLim',[MinA MaxA])
917                set(hcol,'YTick',YTick)
918            end
919            set(hcol,'Yticklabel',num2str(YTick'));
920        end
921    elseif ishandle(hcol)
922        delete(hcol); %erase existing colorbar if not needed
923    end
924else%no scalar plot
925    if ~isempty(hima) && ishandle(hima)
926        delete(hima)
927    end
928    if ~isempty(hcol)&& ishandle(hcol)
929       delete(hcol)
930    end
931    PlotParamOut=rmfield(PlotParamOut,'Scalar');
932end
933
934%%   vector plot %%%%%%%%%%%%%%%%%%%%%%%%%%
935if test_vec
936   %vector scale representation
937    if size(vec_U,1)==numel(vec_Y) && size(vec_U,2)==numel(vec_X); % x, y  coordinate variables
938        [vec_X,vec_Y]=meshgrid(vec_X,vec_Y);
939    end   
940    vec_X=reshape(vec_X,1,numel(vec_X));%reshape in matlab vectors
941    vec_Y=reshape(vec_Y,1,numel(vec_Y));
942    vec_U=reshape(vec_U,1,numel(vec_U));
943    vec_V=reshape(vec_V,1,numel(vec_V));
944     MinMaxX=max(vec_X)-min(vec_X);
945    if  isfield(PlotParam.Vectors,'CheckFixVectors') && isequal(PlotParam.Vectors.CheckFixVectors,1)&& isfield(PlotParam.Vectors,'VecScale')...
946               &&~isempty(PlotParam.Vectors.VecScale) && isa(PlotParam.Vectors.VecScale,'double') %fixed vector scale
947        scale=PlotParam.Vectors.VecScale;  %impose the length of vector representation
948    else
949        if ~test_false %remove false vectors   
950            indsel=1:numel(vec_X);%
951        end
952        if isempty(vec_U)
953            scale=1;
954        else
955            if isempty(indsel)
956                MaxU=max(abs(vec_U));
957                MaxV=max(abs(vec_V));
958            else
959                MaxU=max(abs(vec_U(indsel)));
960                MaxV=max(abs(vec_V(indsel)));
961            end
962            scale=MinMaxX/(max(MaxU,MaxV)*50);
963            PlotParam.Vectors.VecScale=scale;%update the 'scale' display
964        end
965    end
966   
967    %record vectors on the plotting axes
968    if test_C==0
969        vec_C=ones(1,numel(vec_X));
970    end
971   
972    %decimate by a factor 2 in vector mesh(4 in nbre of vectors)
973    if isfield(PlotParam.Vectors,'CheckDecimate4') && PlotParam.Vectors.CheckDecimate4
974        diffy=diff(vec_Y); %difference dy=vec_Y(i+1)-vec_Y(i)
975        dy_thresh=max(abs(diffy))/2;
976        ind_jump=find(abs(diffy) > dy_thresh); %indices with diff(vec_Y)> max/2, detect change of line
977        ind_sel=1:ind_jump(1);%select the first line
978        for i=2:2:length(ind_jump)-1
979            ind_sel=[ind_sel (ind_jump(i)+1:ind_jump(i+1))];% select the odd lines
980        end
981        nb_sel=length(ind_sel);
982        ind_sel=ind_sel(1:2:nb_sel);% take half the points on a line
983        vec_X=vec_X(ind_sel);
984        vec_Y=vec_Y(ind_sel);
985        vec_U=vec_U(ind_sel);
986        vec_V=vec_V(ind_sel);
987        vec_C=vec_C(ind_sel);
988        if ~isempty(ivar_F)
989           vec_F=vec_F(ind_sel);
990        end
991        if ~isempty(ivar_FF)
992           vec_FF=vec_FF(ind_sel);
993        end
994    end
995   
996    %get main level color code
997    [colorlist,col_vec,PlotParamOut.Vectors]=set_col_vec(PlotParam.Vectors,vec_C);
998   
999    % take flags into account: add flag colors to the list of colors
1000    sizlist=size(colorlist);
1001    nbcolor=sizlist(1);
1002    if test_black
1003       nbcolor=nbcolor+1;
1004       colorlist(nbcolor,:)=[0 0 0]; %add black to the list of colors
1005       if ~isempty(ivar_FF)
1006          %  ind_flag=find(vec_F~=1 & vec_F~=0 & vec_FF==0);  %flag warning but not false
1007            col_vec(vec_F~=1 & vec_F~=0 & vec_FF==0)=nbcolor;
1008       else
1009            col_vec(vec_F~=1 & vec_F~=0)=nbcolor;
1010       end
1011    end
1012    nbcolor=nbcolor+1;
1013    if ~isempty(ivar_FF)
1014        if isfield(PlotParam.Vectors,'CheckHideFalse') && PlotParam.Vectors.CheckHideFalse==1
1015            colorlist(nbcolor,:)=[NaN NaN NaN];% no plot of false vectors
1016        else
1017            colorlist(nbcolor,:)=[1 0 1];% magenta color
1018        end
1019        col_vec(vec_FF~=0)=nbcolor;
1020    end
1021    %plot vectors:
1022    quiresetn(haxes,vec_X,vec_Y,vec_U,vec_V,scale,colorlist,col_vec);   
1023
1024else
1025    hvec=findobj(haxes,'Tag','vel');
1026    if ~isempty(hvec)
1027        delete(hvec);
1028    end
1029    PlotParamOut=rmfield(PlotParamOut,'Vectors');
1030end
1031
1032%listfields={'AY','AX','A','X','Y','U','V','C','W','F','FF'};
1033%listdim={'AY','AX',{'AY','AX'},'nb_vectors','nb_vectors','nb_vectors','nb_vectors','nb_vectors','nb_vectors','nb_vectors','nb_vectors'};
1034%Role={'coord_y','coord_x','scalar','coord_x','coord_y','vector_x','vector_y','scalar','vector_z','warnflag','errorflag'};
1035%ind_select=[];
1036nbvar=0;
1037
1038%store the coordinate extrema occupied by the field
1039if ~isempty(Data)
1040    XMin=[];
1041    XMax=[];
1042    YMin=[];
1043    YMax=[];
1044    fix_lim=isfield(PlotParam.Coordinates,'CheckFixLimits') && PlotParam.Coordinates.CheckFixLimits;
1045    if fix_lim
1046        if isfield(PlotParam.Coordinates,'MinX')&&isfield(PlotParam.Coordinates,'MaxX')&&isfield(PlotParam.Coordinates,'MinY')&&isfield(PlotParam.Coordinates,'MaxY')
1047            XMin=PlotParam.Coordinates.MinX;
1048            XMax=PlotParam.Coordinates.MaxX;
1049            YMin=PlotParam.Coordinates.MinY;
1050            YMax=PlotParam.Coordinates.MaxY;
1051        end  %else PlotParamOut.XMin =PlotParam.XMin...
1052    else
1053        if test_ima %both background image and vectors coexist, take the wider bound
1054            XMin=min(AX);
1055            XMax=max(AX);
1056            YMin=min(AY);
1057            YMax=max(AY);
1058            if test_vec
1059                XMin=min(XMin,min(vec_X));
1060                XMax=max(XMax,max(vec_X));
1061                YMin=min(YMin,min(vec_Y));
1062                YMax=max(YMax,max(vec_Y));
1063            end
1064        elseif test_vec
1065            XMin=min(vec_X);
1066            XMax=max(vec_X);
1067            YMin=min(vec_Y);
1068            YMax=max(vec_Y);
1069        end
1070    end
1071%     PlotParamOut.RangeX=[XMin XMax]; %range of x, to be stored in the user data of the plot axes
1072%     PlotParamOut.RangeY=[YMin YMax]; %range of x, to be stored in the user data of the plot axes
1073%     if ~fix_lim
1074        PlotParamOut.Coordinates.MinX=XMin;
1075        PlotParamOut.Coordinates.MaxX=XMax;
1076        PlotParamOut.Coordinates.MinY=YMin;
1077        PlotParamOut.Coordinates.MaxY=YMax;
1078        if XMax>XMin
1079            set(haxes,'XLim',[XMin XMax]);% set x limits of frame in axes coordinates
1080        end
1081        if YMax>YMin
1082            set(haxes,'YLim',[YMin YMax]);% set x limits of frame in axes coordinates
1083        end
1084%     end
1085    set(haxes,'YDir','normal')
1086    set(get(haxes,'XLabel'),'String',[XName ' (' x_units ')']);
1087    set(get(haxes,'YLabel'),'String',[YName ' (' y_units ')']);
1088    PlotParamOut.Coordinates.x_units=x_units;
1089    PlotParamOut.Coordinates.y_units=y_units;
1090end
1091%-------------------------------------------------------------------
1092% --- function for plotting vectors
1093%INPUT:
1094% haxes: handles of the plotting axes
1095% x,y,u,v: vectors coordinates and vector components to plot, arrays withb the same dimension
1096% scale: scaling factor for vector length representation
1097% colorlist(icolor,:): list of vector colors, dim (nbcolor,3), depending on color #i
1098% col_vec: matlab vector setting the color number #i for each velocity vector
1099function quiresetn(haxes,x,y,u,v,scale,colorlist,col_vec)
1100%-------------------------------------------------------------------
1101%define arrows
1102theta=0.5 ;%angle arrow
1103alpha=0.3 ;%length arrow
1104rot=alpha*[cos(theta) -sin(theta); sin(theta) cos(theta)]';
1105%find the existing lines
1106h=findobj(haxes,'Tag','vel');% search existing lines in the current axes
1107sizh=size(h);
1108set(h,'EraseMode','xor');
1109set(haxes,'NextPlot','replacechildren');
1110
1111%drawnow
1112%create lines (if no lines) or modify them
1113if ~isequal(size(col_vec),size(x))
1114    col_vec=ones(size(x));% case of error in col_vec input
1115end
1116sizlist=size(colorlist);
1117ncolor=sizlist(1);
1118
1119for icolor=1:ncolor
1120    %determine the line positions for each color icolor
1121    ind=find(col_vec==icolor);
1122    xc=x(ind);
1123    yc=y(ind);
1124    uc=u(ind)*scale;
1125    vc=v(ind)*scale;
1126    n=size(xc);
1127    xN=NaN*ones(size(xc));
1128    matx=[xc(:)-uc(:)/2 xc(:)+uc(:)/2 xN(:)]';
1129    %     matx=[xc(:) xc(:)+uc(:) xN(:)]';
1130    matx=reshape(matx,1,3*n(2));
1131    maty=[yc(:)-vc(:)/2 yc(:)+vc(:)/2 xN(:)]';
1132    %     maty=[yc(:) yc(:)+vc(:) xN(:)]';
1133    maty=reshape(maty,1,3*n(2));
1134   
1135    %determine arrow heads
1136    arrowplus=rot*[uc;vc];
1137    arrowmoins=rot'*[uc;vc];
1138    x1=xc+uc/2-arrowplus(1,:);
1139    x2=xc+uc/2;
1140    x3=xc+uc/2-arrowmoins(1,:);
1141    y1=yc+vc/2-arrowplus(2,:);
1142    y2=yc+vc/2;
1143    y3=yc+vc/2-arrowmoins(2,:);
1144    matxar=[x1(:) x2(:) x3(:) xN(:)]';
1145    matxar=reshape(matxar,1,4*n(2));
1146    matyar=[y1(:) y2(:) y3(:) xN(:)]';
1147    matyar=reshape(matyar,1,4*n(2));
1148    %draw the line or modify the existing ones
1149    tri=reshape(1:3*length(uc),3,[])';   
1150    isn=isnan(colorlist(icolor,:));%test if color NaN
1151    if 2*icolor > sizh(1) %if icolor exceeds the number of existing ones
1152        if ~isn(1) %if the vectors are visible color not nan
1153            if n(2)>0
1154                hold on
1155                line(matx,maty,'Color',colorlist(icolor,:),'Tag','vel');% plot new lines
1156                line(matxar,matyar,'Color',colorlist(icolor,:),'Tag','vel');% plot arrows
1157            end
1158        end
1159    else
1160        if isn(1)
1161            delete(h(2*icolor-1))
1162            delete(h(2*icolor))
1163        else
1164            set(h(2*icolor-1),'Xdata',matx,'Ydata',maty);
1165            set(h(2*icolor-1),'Color',colorlist(icolor,:));
1166            set(h(2*icolor-1),'EraseMode','xor');
1167            set(h(2*icolor),'Xdata',matxar,'Ydata',matyar);
1168            set(h(2*icolor),'Color',colorlist(icolor,:));
1169            set(h(2*icolor),'EraseMode','xor');
1170        end
1171    end
1172end
1173if sizh(1) > 2*ncolor
1174    for icolor=ncolor+1 : sizh(1)/2%delete additional objects
1175        delete(h(2*icolor-1))
1176        delete(h(2*icolor))
1177    end
1178end
1179
1180%-------------------------------------------------------------------
1181% ---- determine tick positions for colorbar
1182function YTick=colbartick(MinA,MaxA)
1183%-------------------------------------------------------------------
1184%determine tick positions with "simple" values between MinA and MaxA
1185YTick=0;%default
1186maxabs=max([abs(MinA) abs(MaxA)]);
1187if maxabs>0
1188ord=10^(floor(log10(maxabs)));%order of magnitude
1189div=1;
1190siz2=1;
1191while siz2<2
1192    values=-10:div:10;
1193    ind=find((ord*values-MaxA)<0 & (ord*values-MinA)>0);%indices of 'values' such that MinA<ord*values<MaxA
1194    siz=size(ind);
1195    if siz(2)<4%if there are less than 4 selected values (4 levels)
1196        values=-9:0.5*div:9;
1197        ind=find((ord*values-MaxA)<0 & (ord*values-MinA)>0);
1198    end
1199    siz2=size(ind,2);
1200    div=div/10;
1201end
1202YTick=ord*values(ind);
1203end
1204
1205% -------------------------------------------------------------------------
1206% --- 'proj_grid': project  fields with unstructured coordinantes on a regular grid
1207function [A,rangx,rangy]=proj_grid(vec_X,vec_Y,vec_A,rgx_in,rgy_in,npxy_in)
1208% -------------------------------------------------------------------------
1209if length(vec_Y)<2
1210    msgbox_uvmat('ERROR','less than 2 points in proj_grid.m');
1211    return;
1212end
1213diffy=diff(vec_Y); %difference dy=vec_Y(i+1)-vec_Y(i)
1214index=find(diffy);% find the indices of vec_Y after wich a change of horizontal line occurs(diffy non zero)
1215if isempty(index); msgbox_uvmat('ERROR','points aligned along abscissa in proj_grid.m'); return; end;%points aligned% A FAIRE: switch to line plot.
1216diff2=diff(diffy(index));% diff2 = fluctuations of the detected vertical grid mesh dy
1217if max(abs(diff2))>0.001*abs(diffy(index(1))) % if max(diff2) is larger than 1/1000 of the first mesh dy
1218    % the data are not regularly spaced and must be interpolated  on a regular grid
1219    if exist('rgx_in','var') & ~isempty (rgx_in) & isnumeric(rgx_in) & length(rgx_in)==2%  positions imposed from input
1220        rangx=rgx_in; % first and last positions
1221        rangy=rgy_in;
1222        dxy(1)=1/(npxy_in(1)-1);%grid mesh in y
1223        dxy(2)=1/(npxy_in(2)-1);%grid mesh in x
1224        dxy(1)=(rangy(2)-rangy(1))/(npxy_in(1)-1);%grid mesh in y
1225        dxy(2)=(rangx(2)-rangx(1))/(npxy_in(2)-1);%grid mesh in x
1226    else % interpolation grid automatically determined
1227        rangx(1)=min(vec_X);
1228        rangx(2)=max(vec_X);
1229        rangy(2)=min(vec_Y);
1230        rangy(1)=max(vec_Y);
1231        dxymod=sqrt((rangx(2)-rangx(1))*(rangy(1)-rangy(2))/length(vec_X));
1232        dxy=[-dxymod/4 dxymod/4];% increase the resolution 4 times
1233    end
1234    xi=[rangx(1):dxy(2):rangx(2)];
1235    yi=[rangy(1):dxy(1):rangy(2)];
1236    A=griddata_uvmat(vec_X,vec_Y,vec_A,xi,yi');
1237    A=reshape(A,length(yi),length(xi));
1238else
1239    x=vec_X(1:index(1));% the set of abscissa (obtained on the first line)
1240    indexend=index(end);% last vector index of line change
1241    ymax=vec_Y(indexend+1);% y coordinate AFTER line change
1242    ymin=vec_Y(index(1));
1243    y=vec_Y(index);
1244    y(length(y)+1)=ymax;
1245    nx=length(x);   %number of grid points in x
1246    ny=length(y);   % number of grid points in y
1247    B=(reshape(vec_A,nx,ny))'; %vec_A reshaped as a rectangular matrix
1248    [X,Y]=meshgrid(x,y);% positions X and Y also reshaped as matrix
1249
1250    %linear interpolation to improve the image resolution and/or adjust
1251    %to prescribed positions
1252    test_interp=1;
1253    if exist('rgx_in','var') & ~isempty (rgx_in) & isnumeric(rgx_in) & length(rgx_in)==2%  positions imposed from input
1254        rangx=rgx_in; % first and last positions
1255        rangy=rgy_in;
1256        npxy=npxy_in;
1257    else       
1258        rangx=[vec_X(1) vec_X(nx)];% first and last position found for x
1259          rangy=[max(ymax,ymin) min(ymax,ymin)];
1260        if max(nx,ny) <= 64 & isequal(npxy_in,'np>256')
1261            npxy=[8*ny 8*nx];% increase the resolution 8 times
1262        elseif max(nx,ny) <= 128 & isequal(npxy_in,'np>256')
1263            npxy=[4*ny 4*nx];% increase the resolution 4 times
1264        elseif max(nx,ny) <= 256 & isequal(npxy_in,'np>256')
1265            npxy=[2*ny 2*nx];% increase the resolution 2 times
1266        else
1267            npxy=[ny nx];
1268            test_interp=0; % no interpolation done
1269        end
1270    end
1271    if test_interp==1%if we interpolate
1272        xi=[rangx(1):(rangx(2)-rangx(1))/(npxy(2)-1):rangx(2)];
1273        yi=[rangy(1):(rangy(2)-rangy(1))/(npxy(1)-1):rangy(2)];
1274        [XI,YI]=meshgrid(xi,yi);
1275        A = interp2(X,Y,B,XI,YI);
1276    else %no interpolation for a resolution higher than 256
1277        A=B;
1278    end
1279end
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