source: trunk/src/plot_field.m @ 404

Last change on this file since 404 was 404, checked in by sommeria, 9 years ago

various bugs corrected. nc2struct_toolbox suppressed (correspond to obsolete versions of Matlab)

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=[];
111errormsg=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    if ~isempty(VarType.coord_tps)
534        continue
535    end
536    ivar_X=VarType.coord_x; % defines (unique) index for the variable representing unstructured x coordinate (default =[])
537    ivar_Y=VarType.coord_y; % defines (unique)index for the variable representing unstructured y coordinate (default =[])
538    ivar_U=VarType.vector_x; % defines (unique) index for the variable representing x vector component (default =[])
539    ivar_V=VarType.vector_y; % defines (unique) index for the variable representing y vector component (default =[])
540    ivar_C=[VarType.scalar VarType.image VarType.color VarType.ancillary]; %defines index (indices) for the scalar or ancillary fields
541    if numel(ivar_C)>1
542        errormsg= 'error in plot_field: too many scalar inputs';
543        return
544    end
545    ivar_F=VarType.warnflag; %defines index (unique) for warning flag variable
546    ivar_FF=VarType.errorflag; %defines index (unique) for error flag variable
547    ind_coord=find(VarType.coord);
548    if numel(ind_coord)==2
549        VarType.coord=VarType.coord(ind_coord);
550    end
551    if ~isempty(ivar_U) && ~isempty(ivar_V)% vector components detected
552        if test_vec
553            errormsg='error in plot_field: attempt to plot two vector fields';
554            return
555        else
556            test_vec=1;
557            vec_U=Data.(Data.ListVarName{ivar_U});
558            vec_V=Data.(Data.ListVarName{ivar_V});
559            if ~isempty(ivar_X) && ~isempty(ivar_Y)% 2D field (with unstructured coordinates or structured ones (then ivar_X and ivar_Y empty)
560                XName=Data.ListVarName{ivar_X};
561                YName=Data.ListVarName{ivar_Y};
562                eval(['vec_X=reshape(Data.' XName ',[],1);'])
563                eval(['vec_Y=reshape(Data.' YName ',[],1);'])
564            elseif numel(VarType.coord)==2 && ~isequal(VarType.coord,[0 0]);%coordinates defines by dimension variables
565                eval(['y=Data.' Data.ListVarName{VarType.coord(1)} ';'])
566                eval(['x=Data.' Data.ListVarName{VarType.coord(2)} ';'])
567                if numel(y)==2 % y defined by first and last values on aregular mesh
568                    y=linspace(y(1),y(2),size(vec_U,1));
569                end
570                if numel(x)==2 % y defined by first and last values on aregular mesh
571                    x=linspace(x(1),x(2),size(vec_U,2));
572                end
573                [vec_X,vec_Y]=meshgrid(x,y); 
574            else
575                errormsg='error in plot_field: invalid coordinate definition for vector field';
576                return
577            end
578            if ~isempty(ivar_C)
579                 eval(['vec_C=Data.' Data.ListVarName{ivar_C} ';']) ;
580                 vec_C=reshape(vec_C,1,numel(vec_C));
581                 test_C=1;
582            end
583            if ~isempty(ivar_F)%~(isfield(PlotParam.Vectors,'HideWarning')&& isequal(PlotParam.Vectors.HideWarning,1))
584                if test_vec
585                    vec_F=Data.(Data.ListVarName{ivar_F}); % warning flags for  dubious vectors
586                    if  ~(isfield(PlotParam.Vectors,'CheckHideWarning') && isequal(PlotParam.Vectors.CheckHideWarning,1))
587                        test_black=1;
588                    end
589                end
590            end
591            if ~isempty(ivar_FF) %&& ~test_false
592                if test_vec% TODO: deal with FF for structured coordinates
593                    vec_FF=Data.(Data.ListVarName{ivar_FF}); % flags for false vectors
594                end
595            end
596        end
597    elseif ~isempty(ivar_C) %scalar or image
598        if test_ima
599             errormsg='attempt to plot two scalar fields or images';
600            return
601        end
602        eval(['A=squeeze(Data.' Data.ListVarName{ivar_C} ');']) ;% scalar represented as color image
603        test_ima=1;
604        if ~isempty(ivar_X) && ~isempty(ivar_Y)% 2D field (with unstructured coordinates  (then ivar_X and ivar_Y not empty)
605            A=reshape(A,1,[]);
606            XName=Data.ListVarName{ivar_X};
607            YName=Data.ListVarName{ivar_Y};
608            eval(['AX=reshape(Data.' XName ',1,[]);'])
609            eval(['AY=reshape(Data.' YName ',1,[]);'])
610            [A,AX,AY]=proj_grid(AX',AY',A',[],[],'np>256');  % interpolate on a grid 
611            if isfield(Data,'VarAttribute')
612                if numel(Data.VarAttribute)>=ivar_X && isfield(Data.VarAttribute{ivar_X},'units')
613                    x_units=[' (' Data.VarAttribute{ivar_X}.units ')'];
614                end
615                if numel(Data.VarAttribute)>=ivar_Y && isfield(Data.VarAttribute{ivar_Y},'units')
616                    y_units=[' (' Data.VarAttribute{ivar_Y}.units ')'];
617                end
618            end       
619        elseif numel(VarType.coord)==2 %structured coordinates
620            XName=Data.ListVarName{VarType.coord(2)};
621            YName=Data.ListVarName{VarType.coord(1)};
622            eval(['AY=Data.' Data.ListVarName{VarType.coord(1)} ';'])
623            eval(['AX=Data.' Data.ListVarName{VarType.coord(2)} ';'])
624            test_interp_X=0; %default, regularly meshed X coordinate
625            test_interp_Y=0; %default, regularly meshed Y coordinate
626            if isfield(Data,'VarAttribute')
627                if numel(Data.VarAttribute)>=VarType.coord(2) && isfield(Data.VarAttribute{VarType.coord(2)},'units')
628                    x_units=Data.VarAttribute{VarType.coord(2)}.units;
629                end
630                if numel(Data.VarAttribute)>=VarType.coord(1) && isfield(Data.VarAttribute{VarType.coord(1)},'units')
631                    y_units=Data.VarAttribute{VarType.coord(1)}.units;
632                end
633            end 
634            if numel(AY)>2
635                DAY=diff(AY);
636                DAY_min=min(DAY);
637                DAY_max=max(DAY);
638                if sign(DAY_min)~=sign(DAY_max);% =1 for increasing values, 0 otherwise
639                     errormsg=['errror in plot_field.m: non monotonic dimension variable ' Data.ListVarName{VarType.coord(1)} ];
640                      return
641                end
642                test_interp_Y=(DAY_max-DAY_min)> 0.0001*abs(DAY_max);
643            end
644            if numel(AX)>2
645                DAX=diff(AX);
646                DAX_min=min(DAX);
647                DAX_max=max(DAX);
648                if sign(DAX_min)~=sign(DAX_max);% =1 for increasing values, 0 otherwise
649                     errormsg=['errror in plot_field.m: non monotonic dimension variable ' Data.ListVarName{VarType.coord(2)} ];
650                      return
651                end
652                test_interp_X=(DAX_max-DAX_min)> 0.0001*abs(DAX_max);
653            end 
654            if test_interp_Y         
655                npxy(1)=max([256 floor((AY(end)-AY(1))/DAY_min) floor((AY(end)-AY(1))/DAY_max)]);
656                yI=linspace(AY(1),AY(end),npxy(1));
657                if ~test_interp_X
658                    xI=linspace(AX(1),AX(end),size(A,2));%default
659                    AX=xI;
660                end
661            end
662            if test_interp_X 
663                npxy(2)=max([256 floor((AX(end)-AX(1))/DAX_min) floor((AX(end)-AX(1))/DAX_max)]);
664                xI=linspace(AX(1),AX(end),npxy(2));   
665                if ~test_interp_Y
666                   yI=linspace(AY(1),AY(end),size(A,1));
667                   AY=yI;
668                end
669            end
670            if test_interp_X || test_interp_Y               
671                [AX2D,AY2D]=meshgrid(AX,AY);
672                A=interp2(AX2D,AY2D,double(A),xI,yI');
673            end
674            AX=[AX(1) AX(end)];% keep only the lower and upper bounds for image represnetation
675            AY=[AY(1) AY(end)];
676        else
677            errormsg='error in plot_field: invalid coordinate definition ';
678            return
679        end
680    end
681    %define coordinates as CoordUnits, if not defined as attribute for each variable
682    if isfield(Data,'CoordUnit')
683        if isempty(x_units)
684            x_units=Data.CoordUnit;
685        end
686        if isempty(y_units)
687            y_units=Data.CoordUnit;
688        end
689    end
690       
691end
692
693%%   image or scalar plot %%%%%%%%%%%%%%%%%%%%%%%%%%
694
695if isfield(PlotParam.Scalar,'ListContour')
696    CheckContour=strcmp(PlotParam.Scalar.ListContour,'contours');
697else
698    CheckContour=0; %default
699end
700PlotParamOut=PlotParam; %default
701if test_ima
702    % distinguish B/W and color images
703    np=size(A);%size of image
704    siz=numel(np);
705    if siz>3
706       errormsg=['unrecognized scalar type: ' num2str(siz) ' dimensions'];
707            return
708    end
709    if siz==3
710        if np(3)==1
711            siz=2;%B W image
712        elseif np(3)==3
713            siz=3;%color image
714        else
715            errormsg=['unrecognized scalar type in plot_field: considered as 2D field with ' num2str(np(3)) ' color components'];
716            return
717        end
718    end
719   
720    %set the color map
721    if isfield(PlotParam.Scalar,'CheckBW')
722        BW=PlotParam.Scalar.CheckBW; %test for BW gray scale images
723    else
724        BW=(siz==2) && (isa(A,'uint8')|| isa(A,'uint16'));% non color images represented in gray scale by default
725    end
726   
727    %case of grey level images or contour plot
728    if siz==2
729        if ~isfield(PlotParam.Scalar,'CheckFixScalar')
730            PlotParam.Scalar.CheckFixScalar=0;%default
731        end
732        if ~isfield(PlotParam.Scalar,'MinA')
733            PlotParam.Scalar.MinA=[];%default
734        end
735        if ~isfield(PlotParam.Scalar,'MaxA')
736            PlotParam.Scalar.MaxA=[];%default
737        end
738        Aline=[];
739        if ~PlotParam.Scalar.CheckFixScalar ||isempty(PlotParam.Scalar.MinA)||~isa(PlotParam.Scalar.MinA,'double')  %correct if there is no numerical data in edit box
740            Aline=reshape(A,1,[]);
741            Aline=Aline(~isnan(A));
742            if isempty(Aline)
743                 errormsg='NaN input scalar or image in plot_field';
744                return
745            end
746            MinA=double(min(Aline));
747        else
748            MinA=PlotParam.Scalar.MinA;
749        end;
750        if ~PlotParam.Scalar.CheckFixScalar||isempty(PlotParam.Scalar.MaxA)||~isa(PlotParam.Scalar.MaxA,'double') %correct if there is no numerical data in edit box
751            if isempty(Aline)
752               Aline=reshape(A,1,[]);
753               Aline=Aline(~isnan(A));
754               if isempty(Aline)
755                 errormsg='NaN input scalar or image in plot_field';
756                return
757               end
758            end
759            MaxA=double(max(Aline));
760        else
761            MaxA=PlotParam.Scalar.MaxA; 
762        end;
763        PlotParamOut.Scalar.MinA=MinA;
764        PlotParamOut.Scalar.MaxA=MaxA;
765        % case of contour plot
766        if CheckContour
767            if ~isempty(hima) && ishandle(hima)
768                delete(hima)
769            end
770            if ~isfield(PlotParam.Scalar,'IncrA')
771                PlotParam.Scalar.IncrA=NaN;
772            end
773            if isempty(PlotParam.Scalar.IncrA)|| isnan(PlotParam.Scalar.IncrA)% | PlotParam.Scalar.AutoScal==0
774                cont=colbartick(MinA,MaxA);
775                intercont=cont(2)-cont(1);%default
776                PlotParamOut.Scalar.IncrA=intercont;
777            else
778               intercont=PlotParam.Scalar.IncrA;
779            end
780            B=A;           
781            abscontmin=intercont*floor(MinA/intercont);
782            abscontmax=intercont*ceil(MaxA/intercont);
783            contmin=intercont*floor(min(min(B))/intercont);
784            contmax=intercont*ceil(max(max(B))/intercont);
785            cont_pos_plus=0:intercont:contmax;
786            cont_pos_min=double(contmin):intercont:-intercont;
787            cont_pos=[cont_pos_min cont_pos_plus];
788            sizpx=(AX(end)-AX(1))/(np(2)-1);
789            sizpy=(AY(1)-AY(end))/(np(1)-1);
790            x_cont=AX(1):sizpx:AX(end); % pixel x coordinates for image display
791            y_cont=AY(1):-sizpy:AY(end); % pixel x coordinates for image display
792           % axes(haxes)% set the input axes handle as current axis
793    txt=ver('MATLAB');
794    Release=txt.Release;
795            relnumb=str2double(Release(3:4));
796            if relnumb >= 14
797                    vec=linspace(0,1,(abscontmax-abscontmin)/intercont);%define a greyscale colormap with steps intercont
798                map=[vec' vec' vec'];
799                colormap(map);
800                [var,hcontour]=contour(x_cont,y_cont,B,cont_pos);       
801                set(hcontour,'Fill','on')
802                set(hcontour,'LineStyle','none')
803                hold on
804            end
805            [var_p,hcontour_p]=contour(x_cont,y_cont,B,cont_pos_plus,'k-');
806            hold on
807            [var_m,hcontour_m]=contour(x_cont,y_cont,B,cont_pos_min,':');
808            set(hcontour_m,'LineColor',[1 1 1])
809            hold off
810            caxis([abscontmin abscontmax])
811            colormap(map);
812        end
813       
814        % set  colormap for  image display
815        if ~CheckContour
816            % rescale the grey levels with min and max, put a grey scale colorbar
817            B=A;
818            if BW
819                vec=linspace(0,1,255);%define a linear greyscale colormap
820                map=[vec' vec' vec'];
821                colormap(map);  %grey scale color map
822            else
823                colormap('default'); % standard faulse colors for div, vort , scalar fields
824            end
825        end
826       
827    % case of color images
828    else
829        if BW
830            B=uint16(sum(A,3));
831        else
832            B=uint8(A);
833        end
834        MinA=0;
835        MaxA=255;
836    end
837   
838    % display usual image
839    if ~CheckContour     
840        % interpolate field to increase resolution of image display
841        test_interp=1;
842        if max(np) <= 64
843            npxy=8*np;% increase the resolution 8 times
844        elseif max(np) <= 128
845            npxy=4*np;% increase the resolution 4 times
846        elseif max(np) <= 256
847            npxy=2*np;% increase the resolution 2 times
848        else
849            npxy=np;
850            test_interp=0; % no interpolation done
851        end
852        if test_interp==1%if we interpolate   
853            x=linspace(AX(1),AX(2),np(2));
854            y=linspace(AY(1),AY(2),np(1));
855            [X,Y]=meshgrid(x,y);
856            xi=linspace(AX(1),AX(2),npxy(2));
857            yi=linspace(AY(1),AY(2),npxy(1));
858            B = interp2(X,Y,double(B),xi,yi');
859        end           
860        % create new image if there  no image handle is found
861        if isempty(hima)
862            tag=get(haxes,'Tag');
863            if MinA<MaxA
864                hima=imagesc(AX,AY,B,[MinA MaxA]);
865            else % to deal with uniform field
866                hima=imagesc(AX,AY,B,[MaxA-1 MaxA]);
867            end
868            set(hima,'Tag','ima','HitTest','off')
869            set(haxes,'Tag',tag);%preserve the axes tag (removed by image fct !!!)     
870            uistack(hima, 'bottom')
871        % update an existing image
872        else
873            set(hima,'CData',B);
874            if MinA<MaxA
875                set(haxes,'CLim',[MinA MaxA])
876            else
877                set(haxes,'CLim',[MinA MaxA+1])
878            end
879            set(hima,'XData',AX);
880            set(hima,'YData',AY);
881        end
882    end
883    test_ima=1;
884   
885    %display the colorbar code for B/W images if Poscolorbar not empty
886    if siz==2 && exist('PosColorbar','var')&& ~isempty(PosColorbar)
887        if isempty(hcol)||~ishandle(hcol)
888             hcol=colorbar;%create new colorbar
889        end
890        if length(PosColorbar)==4
891                 set(hcol,'Position',PosColorbar)           
892        end
893        %YTick=0;%default
894        if MaxA>MinA
895            if CheckContour
896                colbarlim=get(hcol,'YLim');
897                scale_bar=(colbarlim(2)-colbarlim(1))/(abscontmax-abscontmin);               
898                YTick=cont_pos(2:end-1);
899                YTick_scaled=colbarlim(1)+scale_bar*(YTick-abscontmin);
900                set(hcol,'YTick',YTick_scaled);
901            elseif (isfield(PlotParam.Scalar,'CheckBW') && isequal(PlotParam.Scalar.CheckBW,1))||isa(A,'uint8')|| isa(A,'uint16')%images
902                hi=get(hcol,'children');
903                if iscell(hi)%multiple images in colorbar
904                    hi=hi{1};
905                end
906                set(hi,'YData',[MinA MaxA])
907                set(hi,'CData',(1:256)')
908                set(hcol,'YLim',[MinA MaxA])
909                YTick=colbartick(MinA,MaxA);
910                set(hcol,'YTick',YTick)               
911            else
912                hi=get(hcol,'children');
913                if iscell(hi)%multiple images in colorbar
914                    hi=hi{1};
915                end
916                set(hi,'YData',[MinA MaxA])
917                set(hi,'CData',(1:64)')
918                YTick=colbartick(MinA,MaxA);
919                set(hcol,'YLim',[MinA MaxA])
920                set(hcol,'YTick',YTick)
921            end
922            set(hcol,'Yticklabel',num2str(YTick'));
923        end
924    elseif ishandle(hcol)
925        delete(hcol); %erase existing colorbar if not needed
926    end
927else%no scalar plot
928    if ~isempty(hima) && ishandle(hima)
929        delete(hima)
930    end
931    if ~isempty(hcol)&& ishandle(hcol)
932       delete(hcol)
933    end
934    PlotParamOut=rmfield(PlotParamOut,'Scalar');
935end
936
937%%   vector plot %%%%%%%%%%%%%%%%%%%%%%%%%%
938if test_vec
939   %vector scale representation
940    if size(vec_U,1)==numel(vec_Y) && size(vec_U,2)==numel(vec_X); % x, y  coordinate variables
941        [vec_X,vec_Y]=meshgrid(vec_X,vec_Y);
942    end   
943    vec_X=reshape(vec_X,1,numel(vec_X));%reshape in matlab vectors
944    vec_Y=reshape(vec_Y,1,numel(vec_Y));
945    vec_U=reshape(vec_U,1,numel(vec_U));
946    vec_V=reshape(vec_V,1,numel(vec_V));
947     MinMaxX=max(vec_X)-min(vec_X);
948    if  isfield(PlotParam.Vectors,'CheckFixVectors') && isequal(PlotParam.Vectors.CheckFixVectors,1)&& isfield(PlotParam.Vectors,'VecScale')...
949               &&~isempty(PlotParam.Vectors.VecScale) && isa(PlotParam.Vectors.VecScale,'double') %fixed vector scale
950        scale=PlotParam.Vectors.VecScale;  %impose the length of vector representation
951    else
952        if ~test_false %remove false vectors   
953            indsel=1:numel(vec_X);%
954        end
955        if isempty(vec_U)
956            scale=1;
957        else
958            if isempty(indsel)
959                MaxU=max(abs(vec_U));
960                MaxV=max(abs(vec_V));
961            else
962                MaxU=max(abs(vec_U(indsel)));
963                MaxV=max(abs(vec_V(indsel)));
964            end
965            scale=MinMaxX/(max(MaxU,MaxV)*50);
966            PlotParam.Vectors.VecScale=scale;%update the 'scale' display
967        end
968    end
969   
970    %record vectors on the plotting axes
971    if test_C==0
972        vec_C=ones(1,numel(vec_X));
973    end
974   
975    %decimate by a factor 2 in vector mesh(4 in nbre of vectors)
976    if isfield(PlotParam.Vectors,'CheckDecimate4') && PlotParam.Vectors.CheckDecimate4
977        diffy=diff(vec_Y); %difference dy=vec_Y(i+1)-vec_Y(i)
978        dy_thresh=max(abs(diffy))/2;
979        ind_jump=find(abs(diffy) > dy_thresh); %indices with diff(vec_Y)> max/2, detect change of line
980        ind_sel=1:ind_jump(1);%select the first line
981        for i=2:2:length(ind_jump)-1
982            ind_sel=[ind_sel (ind_jump(i)+1:ind_jump(i+1))];% select the odd lines
983        end
984        nb_sel=length(ind_sel);
985        ind_sel=ind_sel(1:2:nb_sel);% take half the points on a line
986        vec_X=vec_X(ind_sel);
987        vec_Y=vec_Y(ind_sel);
988        vec_U=vec_U(ind_sel);
989        vec_V=vec_V(ind_sel);
990        vec_C=vec_C(ind_sel);
991        if ~isempty(ivar_F)
992           vec_F=vec_F(ind_sel);
993        end
994        if ~isempty(ivar_FF)
995           vec_FF=vec_FF(ind_sel);
996        end
997    end
998   
999    %get main level color code
1000    [colorlist,col_vec,PlotParamOut.Vectors]=set_col_vec(PlotParam.Vectors,vec_C);
1001   
1002    % take flags into account: add flag colors to the list of colors
1003    sizlist=size(colorlist);
1004    nbcolor=sizlist(1);
1005    if test_black
1006       nbcolor=nbcolor+1;
1007       colorlist(nbcolor,:)=[0 0 0]; %add black to the list of colors
1008       if ~isempty(ivar_FF)
1009          %  ind_flag=find(vec_F~=1 & vec_F~=0 & vec_FF==0);  %flag warning but not false
1010            col_vec(vec_F~=1 & vec_F~=0 & vec_FF==0)=nbcolor;
1011       else
1012            col_vec(vec_F~=1 & vec_F~=0)=nbcolor;
1013       end
1014    end
1015    nbcolor=nbcolor+1;
1016    if ~isempty(ivar_FF)
1017        if isfield(PlotParam.Vectors,'CheckHideFalse') && PlotParam.Vectors.CheckHideFalse==1
1018            colorlist(nbcolor,:)=[NaN NaN NaN];% no plot of false vectors
1019        else
1020            colorlist(nbcolor,:)=[1 0 1];% magenta color
1021        end
1022        col_vec(vec_FF~=0)=nbcolor;
1023    end
1024    %plot vectors:
1025    quiresetn(haxes,vec_X,vec_Y,vec_U,vec_V,scale,colorlist,col_vec);   
1026
1027else
1028    hvec=findobj(haxes,'Tag','vel');
1029    if ~isempty(hvec)
1030        delete(hvec);
1031    end
1032    PlotParamOut=rmfield(PlotParamOut,'Vectors');
1033end
1034
1035%listfields={'AY','AX','A','X','Y','U','V','C','W','F','FF'};
1036%listdim={'AY','AX',{'AY','AX'},'nb_vectors','nb_vectors','nb_vectors','nb_vectors','nb_vectors','nb_vectors','nb_vectors','nb_vectors'};
1037%Role={'coord_y','coord_x','scalar','coord_x','coord_y','vector_x','vector_y','scalar','vector_z','warnflag','errorflag'};
1038%ind_select=[];
1039nbvar=0;
1040
1041%store the coordinate extrema occupied by the field
1042if ~isempty(Data)
1043    XMin=[];
1044    XMax=[];
1045    YMin=[];
1046    YMax=[];
1047    fix_lim=isfield(PlotParam.Coordinates,'CheckFixLimits') && PlotParam.Coordinates.CheckFixLimits;
1048    if fix_lim
1049        if isfield(PlotParam.Coordinates,'MinX')&&isfield(PlotParam.Coordinates,'MaxX')&&isfield(PlotParam.Coordinates,'MinY')&&isfield(PlotParam.Coordinates,'MaxY')
1050            XMin=PlotParam.Coordinates.MinX;
1051            XMax=PlotParam.Coordinates.MaxX;
1052            YMin=PlotParam.Coordinates.MinY;
1053            YMax=PlotParam.Coordinates.MaxY;
1054        end  %else PlotParamOut.XMin =PlotParam.XMin...
1055    else
1056        if test_ima %both background image and vectors coexist, take the wider bound
1057            XMin=min(AX);
1058            XMax=max(AX);
1059            YMin=min(AY);
1060            YMax=max(AY);
1061            if test_vec
1062                XMin=min(XMin,min(vec_X));
1063                XMax=max(XMax,max(vec_X));
1064                YMin=min(YMin,min(vec_Y));
1065                YMax=max(YMax,max(vec_Y));
1066            end
1067        elseif test_vec
1068            XMin=min(vec_X);
1069            XMax=max(vec_X);
1070            YMin=min(vec_Y);
1071            YMax=max(vec_Y);
1072        end
1073    end
1074%     PlotParamOut.RangeX=[XMin XMax]; %range of x, to be stored in the user data of the plot axes
1075%     PlotParamOut.RangeY=[YMin YMax]; %range of x, to be stored in the user data of the plot axes
1076%     if ~fix_lim
1077        PlotParamOut.Coordinates.MinX=XMin;
1078        PlotParamOut.Coordinates.MaxX=XMax;
1079        PlotParamOut.Coordinates.MinY=YMin;
1080        PlotParamOut.Coordinates.MaxY=YMax;
1081        if XMax>XMin
1082            set(haxes,'XLim',[XMin XMax]);% set x limits of frame in axes coordinates
1083        end
1084        if YMax>YMin
1085            set(haxes,'YLim',[YMin YMax]);% set x limits of frame in axes coordinates
1086        end
1087%     end
1088    set(haxes,'YDir','normal')
1089    set(get(haxes,'XLabel'),'String',[XName ' (' x_units ')']);
1090    set(get(haxes,'YLabel'),'String',[YName ' (' y_units ')']);
1091    PlotParamOut.Coordinates.x_units=x_units;
1092    PlotParamOut.Coordinates.y_units=y_units;
1093end
1094%-------------------------------------------------------------------
1095% --- function for plotting vectors
1096%INPUT:
1097% haxes: handles of the plotting axes
1098% x,y,u,v: vectors coordinates and vector components to plot, arrays withb the same dimension
1099% scale: scaling factor for vector length representation
1100% colorlist(icolor,:): list of vector colors, dim (nbcolor,3), depending on color #i
1101% col_vec: matlab vector setting the color number #i for each velocity vector
1102function quiresetn(haxes,x,y,u,v,scale,colorlist,col_vec)
1103%-------------------------------------------------------------------
1104%define arrows
1105theta=0.5 ;%angle arrow
1106alpha=0.3 ;%length arrow
1107rot=alpha*[cos(theta) -sin(theta); sin(theta) cos(theta)]';
1108%find the existing lines
1109h=findobj(haxes,'Tag','vel');% search existing lines in the current axes
1110sizh=size(h);
1111set(h,'EraseMode','xor');
1112set(haxes,'NextPlot','replacechildren');
1113
1114%drawnow
1115%create lines (if no lines) or modify them
1116if ~isequal(size(col_vec),size(x))
1117    col_vec=ones(size(x));% case of error in col_vec input
1118end
1119sizlist=size(colorlist);
1120ncolor=sizlist(1);
1121
1122for icolor=1:ncolor
1123    %determine the line positions for each color icolor
1124    ind=find(col_vec==icolor);
1125    xc=x(ind);
1126    yc=y(ind);
1127    uc=u(ind)*scale;
1128    vc=v(ind)*scale;
1129    n=size(xc);
1130    xN=NaN*ones(size(xc));
1131    matx=[xc(:)-uc(:)/2 xc(:)+uc(:)/2 xN(:)]';
1132    %     matx=[xc(:) xc(:)+uc(:) xN(:)]';
1133    matx=reshape(matx,1,3*n(2));
1134    maty=[yc(:)-vc(:)/2 yc(:)+vc(:)/2 xN(:)]';
1135    %     maty=[yc(:) yc(:)+vc(:) xN(:)]';
1136    maty=reshape(maty,1,3*n(2));
1137   
1138    %determine arrow heads
1139    arrowplus=rot*[uc;vc];
1140    arrowmoins=rot'*[uc;vc];
1141    x1=xc+uc/2-arrowplus(1,:);
1142    x2=xc+uc/2;
1143    x3=xc+uc/2-arrowmoins(1,:);
1144    y1=yc+vc/2-arrowplus(2,:);
1145    y2=yc+vc/2;
1146    y3=yc+vc/2-arrowmoins(2,:);
1147    matxar=[x1(:) x2(:) x3(:) xN(:)]';
1148    matxar=reshape(matxar,1,4*n(2));
1149    matyar=[y1(:) y2(:) y3(:) xN(:)]';
1150    matyar=reshape(matyar,1,4*n(2));
1151    %draw the line or modify the existing ones
1152    tri=reshape(1:3*length(uc),3,[])';   
1153    isn=isnan(colorlist(icolor,:));%test if color NaN
1154    if 2*icolor > sizh(1) %if icolor exceeds the number of existing ones
1155        if ~isn(1) %if the vectors are visible color not nan
1156            if n(2)>0
1157                hold on
1158                line(matx,maty,'Color',colorlist(icolor,:),'Tag','vel');% plot new lines
1159                line(matxar,matyar,'Color',colorlist(icolor,:),'Tag','vel');% plot arrows
1160            end
1161        end
1162    else
1163        if isn(1)
1164            delete(h(2*icolor-1))
1165            delete(h(2*icolor))
1166        else
1167            set(h(2*icolor-1),'Xdata',matx,'Ydata',maty);
1168            set(h(2*icolor-1),'Color',colorlist(icolor,:));
1169            set(h(2*icolor-1),'EraseMode','xor');
1170            set(h(2*icolor),'Xdata',matxar,'Ydata',matyar);
1171            set(h(2*icolor),'Color',colorlist(icolor,:));
1172            set(h(2*icolor),'EraseMode','xor');
1173        end
1174    end
1175end
1176if sizh(1) > 2*ncolor
1177    for icolor=ncolor+1 : sizh(1)/2%delete additional objects
1178        delete(h(2*icolor-1))
1179        delete(h(2*icolor))
1180    end
1181end
1182
1183%-------------------------------------------------------------------
1184% ---- determine tick positions for colorbar
1185function YTick=colbartick(MinA,MaxA)
1186%-------------------------------------------------------------------
1187%determine tick positions with "simple" values between MinA and MaxA
1188YTick=0;%default
1189maxabs=max([abs(MinA) abs(MaxA)]);
1190if maxabs>0
1191ord=10^(floor(log10(maxabs)));%order of magnitude
1192div=1;
1193siz2=1;
1194while siz2<2
1195    values=-10:div:10;
1196    ind=find((ord*values-MaxA)<0 & (ord*values-MinA)>0);%indices of 'values' such that MinA<ord*values<MaxA
1197    siz=size(ind);
1198    if siz(2)<4%if there are less than 4 selected values (4 levels)
1199        values=-9:0.5*div:9;
1200        ind=find((ord*values-MaxA)<0 & (ord*values-MinA)>0);
1201    end
1202    siz2=size(ind,2);
1203    div=div/10;
1204end
1205YTick=ord*values(ind);
1206end
1207
1208% -------------------------------------------------------------------------
1209% --- 'proj_grid': project  fields with unstructured coordinantes on a regular grid
1210function [A,rangx,rangy]=proj_grid(vec_X,vec_Y,vec_A,rgx_in,rgy_in,npxy_in)
1211% -------------------------------------------------------------------------
1212if length(vec_Y)<2
1213    msgbox_uvmat('ERROR','less than 2 points in proj_grid.m');
1214    return;
1215end
1216diffy=diff(vec_Y); %difference dy=vec_Y(i+1)-vec_Y(i)
1217index=find(diffy);% find the indices of vec_Y after wich a change of horizontal line occurs(diffy non zero)
1218if isempty(index); msgbox_uvmat('ERROR','points aligned along abscissa in proj_grid.m'); return; end;%points aligned% A FAIRE: switch to line plot.
1219diff2=diff(diffy(index));% diff2 = fluctuations of the detected vertical grid mesh dy
1220if max(abs(diff2))>0.001*abs(diffy(index(1))) % if max(diff2) is larger than 1/1000 of the first mesh dy
1221    % the data are not regularly spaced and must be interpolated  on a regular grid
1222    if exist('rgx_in','var') & ~isempty (rgx_in) & isnumeric(rgx_in) & length(rgx_in)==2%  positions imposed from input
1223        rangx=rgx_in; % first and last positions
1224        rangy=rgy_in;
1225        dxy(1)=1/(npxy_in(1)-1);%grid mesh in y
1226        dxy(2)=1/(npxy_in(2)-1);%grid mesh in x
1227        dxy(1)=(rangy(2)-rangy(1))/(npxy_in(1)-1);%grid mesh in y
1228        dxy(2)=(rangx(2)-rangx(1))/(npxy_in(2)-1);%grid mesh in x
1229    else % interpolation grid automatically determined
1230        rangx(1)=min(vec_X);
1231        rangx(2)=max(vec_X);
1232        rangy(2)=min(vec_Y);
1233        rangy(1)=max(vec_Y);
1234        dxymod=sqrt((rangx(2)-rangx(1))*(rangy(1)-rangy(2))/length(vec_X));
1235        dxy=[-dxymod/4 dxymod/4];% increase the resolution 4 times
1236    end
1237    xi=[rangx(1):dxy(2):rangx(2)];
1238    yi=[rangy(1):dxy(1):rangy(2)];
1239    A=griddata_uvmat(vec_X,vec_Y,vec_A,xi,yi');
1240    A=reshape(A,length(yi),length(xi));
1241else
1242    x=vec_X(1:index(1));% the set of abscissa (obtained on the first line)
1243    indexend=index(end);% last vector index of line change
1244    ymax=vec_Y(indexend+1);% y coordinate AFTER line change
1245    ymin=vec_Y(index(1));
1246    y=vec_Y(index);
1247    y(length(y)+1)=ymax;
1248    nx=length(x);   %number of grid points in x
1249    ny=length(y);   % number of grid points in y
1250    B=(reshape(vec_A,nx,ny))'; %vec_A reshaped as a rectangular matrix
1251    [X,Y]=meshgrid(x,y);% positions X and Y also reshaped as matrix
1252
1253    %linear interpolation to improve the image resolution and/or adjust
1254    %to prescribed positions
1255    test_interp=1;
1256    if exist('rgx_in','var') & ~isempty (rgx_in) & isnumeric(rgx_in) & length(rgx_in)==2%  positions imposed from input
1257        rangx=rgx_in; % first and last positions
1258        rangy=rgy_in;
1259        npxy=npxy_in;
1260    else       
1261        rangx=[vec_X(1) vec_X(nx)];% first and last position found for x
1262          rangy=[max(ymax,ymin) min(ymax,ymin)];
1263        if max(nx,ny) <= 64 & isequal(npxy_in,'np>256')
1264            npxy=[8*ny 8*nx];% increase the resolution 8 times
1265        elseif max(nx,ny) <= 128 & isequal(npxy_in,'np>256')
1266            npxy=[4*ny 4*nx];% increase the resolution 4 times
1267        elseif max(nx,ny) <= 256 & isequal(npxy_in,'np>256')
1268            npxy=[2*ny 2*nx];% increase the resolution 2 times
1269        else
1270            npxy=[ny nx];
1271            test_interp=0; % no interpolation done
1272        end
1273    end
1274    if test_interp==1%if we interpolate
1275        xi=[rangx(1):(rangx(2)-rangx(1))/(npxy(2)-1):rangx(2)];
1276        yi=[rangy(1):(rangy(2)-rangy(1))/(npxy(1)-1):rangy(2)];
1277        [XI,YI]=meshgrid(xi,yi);
1278        A = interp2(X,Y,B,XI,YI);
1279    else %no interpolation for a resolution higher than 256
1280        A=B;
1281    end
1282end
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