Heatmaps, matrix plots, imagesc and data structure

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up vote
4
down vote

favorite
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If one has a matrix, say:



16 2 3 13
 5 11 10 8
 9 7 6 12
 4 14 15 1


This is possibly stored in a .dat file as shown above, and possible to have thousands of entries in each direction One might like the idea of plotting it as a heatmap/surface. This is possible in many ways:



The matrix plot:



Restructure the file to:



x y C
0 0 16
0 1 5
0 2 9
0 3 4

1 0 2 
1 1 11 
1 2 7 
1 3 14 

2 0 3 
2 1 10 
2 2 6 
2 3 15 

3 0 13
3 1 8
3 2 12
3 3 1


and do something like:



documentclass[border=5pt]standalone
usepackage[utf8]inputenc
usepackage[T1]fontenc
usepackagepgfplots
pgfplotssetcompat=1.15
begindocument
begintikzpicture
 beginaxis[colorbar]
 addplot [matrix plot, 
 nodes near coords=coordindex,
 mark=*,
 mesh/cols=4,
 point meta=explicit] table [x=x,y=y,meta=C] tad.dat; 
 endaxis
endtikzpicture
enddocument


To get:
Cool heatmap, but data structure is annoying



(Ideally without the numbers, but with the axis (So the ticks can be controlled))
Advantages:



  • works with all the colormaps build into pgfplots


  • Easily formatable as any other axis environment



    Disadvantages



  • Needs data to be restructured, which is annoying for our larger matrices (this is a super big downside, for using the same data in "fast"--show the supervisor plots and "slow"--use in thesis plots)


The table heatmap:



There are multiple ways to convert tables to heatmaps:



Parametrize shading in table through TikZ



https://texblog.org/2013/06/13/latex-heatmap-using-tabular/



Drawing heatmaps using TikZ



Advantages



  • The data is in nice files

disadvantages



  • The colormaps aren't always all availiable, since the solutions aren't directly incorperated in pgfplots/tikz

  • They are tables, and thus aren't as configurable as

What I really want



Is something comparable to the function imagesc availiable in MATLAB and R. My biggest gripe is having to restructure the data (even with a script) as it's nice to be able to chechk the data fast in MATLAB and then decide how to design the LaTeX plot from there.



Several attempts have been made:



pgfplots: Reshape a MATRIX of data before conditional 3D surface plotting



Plot and imagesc (from Matlab) with PSTricks



matlab2tikz imagesc TikZ/pgfplots equivalent



None of the above are great at reading the ´´matrix shaped´´ data, directly from LaTeX.






tikz-pgf pgfplots pgfplotstable metadata data-structures







share|improve this question























  • I'm not sure what your desired input and output look like. Is the post tex.stackexchange.com/questions/401370/… related?
    – Andrew
    1 hour ago











  • I would like not to have values shown, and have an x and y axis on there
    – Thorbjørn E. K. Christensen
    1 hour ago














up vote
4
down vote

favorite
1












If one has a matrix, say:



16 2 3 13
 5 11 10 8
 9 7 6 12
 4 14 15 1


This is possibly stored in a .dat file as shown above, and possible to have thousands of entries in each direction One might like the idea of plotting it as a heatmap/surface. This is possible in many ways:



The matrix plot:



Restructure the file to:



x y C
0 0 16
0 1 5
0 2 9
0 3 4

1 0 2 
1 1 11 
1 2 7 
1 3 14 

2 0 3 
2 1 10 
2 2 6 
2 3 15 

3 0 13
3 1 8
3 2 12
3 3 1


and do something like:



documentclass[border=5pt]standalone
usepackage[utf8]inputenc
usepackage[T1]fontenc
usepackagepgfplots
pgfplotssetcompat=1.15
begindocument
begintikzpicture
 beginaxis[colorbar]
 addplot [matrix plot, 
 nodes near coords=coordindex,
 mark=*,
 mesh/cols=4,
 point meta=explicit] table [x=x,y=y,meta=C] tad.dat; 
 endaxis
endtikzpicture
enddocument


To get:
Cool heatmap, but data structure is annoying



(Ideally without the numbers, but with the axis (So the ticks can be controlled))
Advantages:



  • works with all the colormaps build into pgfplots


  • Easily formatable as any other axis environment



    Disadvantages



  • Needs data to be restructured, which is annoying for our larger matrices (this is a super big downside, for using the same data in "fast"--show the supervisor plots and "slow"--use in thesis plots)


The table heatmap:



There are multiple ways to convert tables to heatmaps:



Parametrize shading in table through TikZ



https://texblog.org/2013/06/13/latex-heatmap-using-tabular/



Drawing heatmaps using TikZ



Advantages



  • The data is in nice files

disadvantages



  • The colormaps aren't always all availiable, since the solutions aren't directly incorperated in pgfplots/tikz

  • They are tables, and thus aren't as configurable as

What I really want



Is something comparable to the function imagesc availiable in MATLAB and R. My biggest gripe is having to restructure the data (even with a script) as it's nice to be able to chechk the data fast in MATLAB and then decide how to design the LaTeX plot from there.



Several attempts have been made:



pgfplots: Reshape a MATRIX of data before conditional 3D surface plotting



Plot and imagesc (from Matlab) with PSTricks



matlab2tikz imagesc TikZ/pgfplots equivalent



None of the above are great at reading the ´´matrix shaped´´ data, directly from LaTeX.






tikz-pgf pgfplots pgfplotstable metadata data-structures







share|improve this question























  • I'm not sure what your desired input and output look like. Is the post tex.stackexchange.com/questions/401370/… related?
    – Andrew
    1 hour ago











  • I would like not to have values shown, and have an x and y axis on there
    – Thorbjørn E. K. Christensen
    1 hour ago












up vote
4
down vote

favorite
1









up vote
4
down vote

favorite
1






1





If one has a matrix, say:



16 2 3 13
 5 11 10 8
 9 7 6 12
 4 14 15 1


This is possibly stored in a .dat file as shown above, and possible to have thousands of entries in each direction One might like the idea of plotting it as a heatmap/surface. This is possible in many ways:



The matrix plot:



Restructure the file to:



x y C
0 0 16
0 1 5
0 2 9
0 3 4

1 0 2 
1 1 11 
1 2 7 
1 3 14 

2 0 3 
2 1 10 
2 2 6 
2 3 15 

3 0 13
3 1 8
3 2 12
3 3 1


and do something like:



documentclass[border=5pt]standalone
usepackage[utf8]inputenc
usepackage[T1]fontenc
usepackagepgfplots
pgfplotssetcompat=1.15
begindocument
begintikzpicture
 beginaxis[colorbar]
 addplot [matrix plot, 
 nodes near coords=coordindex,
 mark=*,
 mesh/cols=4,
 point meta=explicit] table [x=x,y=y,meta=C] tad.dat; 
 endaxis
endtikzpicture
enddocument


To get:
Cool heatmap, but data structure is annoying



(Ideally without the numbers, but with the axis (So the ticks can be controlled))
Advantages:



  • works with all the colormaps build into pgfplots


  • Easily formatable as any other axis environment



    Disadvantages



  • Needs data to be restructured, which is annoying for our larger matrices (this is a super big downside, for using the same data in "fast"--show the supervisor plots and "slow"--use in thesis plots)


The table heatmap:



There are multiple ways to convert tables to heatmaps:



Parametrize shading in table through TikZ



https://texblog.org/2013/06/13/latex-heatmap-using-tabular/



Drawing heatmaps using TikZ



Advantages



  • The data is in nice files

disadvantages



  • The colormaps aren't always all availiable, since the solutions aren't directly incorperated in pgfplots/tikz

  • They are tables, and thus aren't as configurable as

What I really want



Is something comparable to the function imagesc availiable in MATLAB and R. My biggest gripe is having to restructure the data (even with a script) as it's nice to be able to chechk the data fast in MATLAB and then decide how to design the LaTeX plot from there.



Several attempts have been made:



pgfplots: Reshape a MATRIX of data before conditional 3D surface plotting



Plot and imagesc (from Matlab) with PSTricks



matlab2tikz imagesc TikZ/pgfplots equivalent



None of the above are great at reading the ´´matrix shaped´´ data, directly from LaTeX.






tikz-pgf pgfplots pgfplotstable metadata data-structures







share|improve this question















If one has a matrix, say:



16 2 3 13
 5 11 10 8
 9 7 6 12
 4 14 15 1


This is possibly stored in a .dat file as shown above, and possible to have thousands of entries in each direction One might like the idea of plotting it as a heatmap/surface. This is possible in many ways:



The matrix plot:



Restructure the file to:



x y C
0 0 16
0 1 5
0 2 9
0 3 4

1 0 2 
1 1 11 
1 2 7 
1 3 14 

2 0 3 
2 1 10 
2 2 6 
2 3 15 

3 0 13
3 1 8
3 2 12
3 3 1


and do something like:



documentclass[border=5pt]standalone
usepackage[utf8]inputenc
usepackage[T1]fontenc
usepackagepgfplots
pgfplotssetcompat=1.15
begindocument
begintikzpicture
 beginaxis[colorbar]
 addplot [matrix plot, 
 nodes near coords=coordindex,
 mark=*,
 mesh/cols=4,
 point meta=explicit] table [x=x,y=y,meta=C] tad.dat; 
 endaxis
endtikzpicture
enddocument


To get:
Cool heatmap, but data structure is annoying



(Ideally without the numbers, but with the axis (So the ticks can be controlled))
Advantages:



  • works with all the colormaps build into pgfplots


  • Easily formatable as any other axis environment



    Disadvantages



  • Needs data to be restructured, which is annoying for our larger matrices (this is a super big downside, for using the same data in "fast"--show the supervisor plots and "slow"--use in thesis plots)


The table heatmap:



There are multiple ways to convert tables to heatmaps:



Parametrize shading in table through TikZ



https://texblog.org/2013/06/13/latex-heatmap-using-tabular/



Drawing heatmaps using TikZ



Advantages



  • The data is in nice files

disadvantages



  • The colormaps aren't always all availiable, since the solutions aren't directly incorperated in pgfplots/tikz

  • They are tables, and thus aren't as configurable as

What I really want



Is something comparable to the function imagesc availiable in MATLAB and R. My biggest gripe is having to restructure the data (even with a script) as it's nice to be able to chechk the data fast in MATLAB and then decide how to design the LaTeX plot from there.



Several attempts have been made:



pgfplots: Reshape a MATRIX of data before conditional 3D surface plotting



Plot and imagesc (from Matlab) with PSTricks



matlab2tikz imagesc TikZ/pgfplots equivalent



None of the above are great at reading the ´´matrix shaped´´ data, directly from LaTeX.






tikz-pgf pgfplots pgfplotstable metadata data-structures




tikz-pgf pgfplots pgfplotstable metadata data-structures






share|improve this question















share|improve this question













share|improve this question




share|improve this question








edited 1 hour ago

























asked 2 hours ago









Thorbjørn E. K. Christensen

1,008222




1,008222











  • I'm not sure what your desired input and output look like. Is the post tex.stackexchange.com/questions/401370/… related?
    – Andrew
    1 hour ago











  • I would like not to have values shown, and have an x and y axis on there
    – Thorbjørn E. K. Christensen
    1 hour ago
















  • I'm not sure what your desired input and output look like. Is the post tex.stackexchange.com/questions/401370/… related?
    – Andrew
    1 hour ago











  • I would like not to have values shown, and have an x and y axis on there
    – Thorbjørn E. K. Christensen
    1 hour ago















I'm not sure what your desired input and output look like. Is the post tex.stackexchange.com/questions/401370/… related?
– Andrew
1 hour ago





I'm not sure what your desired input and output look like. Is the post tex.stackexchange.com/questions/401370/… related?
– Andrew
1 hour ago













I would like not to have values shown, and have an x and y axis on there
– Thorbjørn E. K. Christensen
1 hour ago




I would like not to have values shown, and have an x and y axis on there
– Thorbjørn E. K. Christensen
1 hour ago










2 Answers
2






active

oldest

votes

















up vote
2
down vote













Don't know if this is helpful, but I wanted to try it.



For your case, I have 



plotit[<scale reference>]<filename>


where <scale reference> is the value, greater than any table entry, that serves as the 100% saturation value.



I also have a version where you can enter data directly:



beginstackColor[<scale reference>]
 23 4 77 \
 15 99 33\ 
 87 0 5 \
 97 33 55
endstackColor


The default scale reference is 100. There are two parameters to change appearance: cellwd defines the width/height of the color block, and cellcolor defines the fully saturated color of the plot.



If you want the cellcolor to be a hybrid color, you cannot defcellcolorcyan!50 Rather, you need to use colorlet as in colorletmycyancyan!50 followed by defcellcolormycyan.



I have set it up so that the plot sits on the baseline.



EDITED to provide legend capability with makelegend. It uses two setable parameters



deflegendwd6pt
deflegendht30pt


to define the legend colorbar dimension. It will print the legend where invoked, again sitting on the baseline.



To apply any axes, I recommended to the OP to invoke plotit (and legend) in the confines of, for example, a tikz structure.



The MWE:



documentclassarticle
usepackagelistofitems,readarray,environ,filecontents,xcolor,
 tabstackengine,etoolbox
beginfilecontents*mydata.dat
16 2 3 13
 5 11 10 8
 9 7 6 12
 4 14 15 1
endfilecontents*
%%%%%%%%%%%%%
defcellwd15pt
defcellcolorcyan
deflegendwd6pt
deflegendht30pt
%%%%%%%%%%%%%
newlengthdlegend
newcounterlegcnt
newtokstabAtoks
newcountplotvalue
newcommandapptotoks[2]#1expandafterthe#1#2
NewEnvironstackColor[1][100]%
 ignoreemptyitems%
 deftAtmpcellcolor!%
 tabcolsep=0ptrelax%
 setsepchar\/ %
 readlist*tabABODY%
 tabAtoks%
 foreachitemiintabA%
 ifnumlistlentabA[icnt]>1relax%
 foreachitemjintabA[icnt]%
 expandafterplotvaluejrelax%
 multiplyplotvalue by 100%
 divideplotvalue by #1%
 xdefplotmax#1%
 ifnumjcnt=1relaxelseapptotokstabAtoks&fi%
 expandafterapptotoksexpandaftertabAtoksexpandafter%
 expandaftertextcolorexpandafterexpandaftertAtmp%
 theplotvaluerulecellwdcellwd%
 %
 ifnumicnt<listlentabArelaxapptotokstabAtoks%
 \fi%
 fi%
 %
 deftmpsetstackgapS0pttabbedShortstack%
 expandaftertmpexpandafterthetabAtoks%

newcommandplotit[2][100]%
 readarraysepchar\%
 readdef#2mydata%
 deftmpbeginstackColor[#1]%
 expandaftertmpmydataendstackColor%

newcommandmakelegend[1][fboxrule]%
 dlegend=legendht%
 dividedlegend by 100%
 setcounterlegcnt0%
 savestackthelegend%
 setstackgapS0pt%
 whileboolexprtest ifnumcompthelegcnt<101%
 savestackthelegendstackonthelegendtextcolor%
 cellcolor!thelegcntrulelegendwddlegend%
 stepcounterlegcnt%
 %
 fboxrule#1relaxfboxsep=0ptrelaxfboxthelegend%
 defplottickrule[.5dimexpr-dpstrutbox+htstrutbox]5pt%
 fboxrule%
 raisebox.5dimexprdpstrutbox-htstrutbox-fboxrule%
 defstackalignmentl%
 stackon[1.01dimexprlegendht]smashplottick0smash%
 plottickplotmax%
 %

begindocument

Here is my plot:
beginstackColor[99]
 23 4 77 \
 15 99 33\ 
 87 0 5 \
 97 33 55
endstackColor
~makelegend[.1pt]

[
 defcellwd23pt
 defcellcolorred
 y = leftvcenterhboxplotit[16]mydata.datright
]
enddocument


enter image description here



Ref: Based on my answer at Ensuring consistent formatting for tabular






share|improve this answer






















  • This is close to what I'd want. I'd like a colorbar, and possibly the abillity to add axis'es (with interchangable tik lables))
    – Thorbjørn E. K. Christensen
    1 hour ago










  • @ThorbjørnE.K.Christensen I might be able to cobble together a colorbar macro, but for axes, I would suggest embedding the plotit inside some other application like tikz. Nothing I do here supports axis generation.
    – Steven B. Segletes
    1 hour ago










  • Do you want to show an example of how that would be done? That would be amazing !!!
    – Thorbjørn E. K. Christensen
    57 mins ago










  • @ThorbjørnE.K.Christensen I don't use tikz, so I can't guarantee anything there, but I will start looking at a legend macro.
    – Steven B. Segletes
    50 mins ago










  • @ThorbjørnE.K.Christensen legend capability has been added.
    – Steven B. Segletes
    12 mins ago

















up vote
1
down vote













Some time back I wrote some macros that convert the data format you start with to the one you got after "restructuring" the data automatically. At the time I wrote these, I thought there must be a much simpler way. However, I did not see a simpler way so far, and nobody complained. So perhaps this is the way to go:



  1. Read the data.

  2. Convert the data to the matrix format and store it in a table.

  3. Use this new table in a matrix plot.

Here are code and result.



documentclass[border=3.14mm,tikz]standalone
usepackagepgfplots
usetikzlibrarypgfplots.colormaps
pgfplotssetcompat=1.16
usepackagepgfplotstable
usepackagefilecontents

beginfilecontents*entries.dat
16 2 3 13
 5 11 10 8
 9 7 6 12
 4 14 15 1
endfilecontents*
newcommand*ReadOutElement[4]%
 pgfplotstablegetelem#2[index]#3of#1%
 let#4pgfplotsretval

begindocument
pgfplotstableread[header=false]entries.datdatatable
pgfplotstablegetrowsofdatatable
pgfmathtruncatemacronumrowspgfplotsretval
pgfplotstablegetcolsofdatatable
pgfmathtruncatemacronumcolspgfplotsretval
xdefLstX
xdefLstY
xdefLstC
foreach Y [evaluate=Y as PrevY using int(Y-1),count=nY] in 1,...,numrows
pgfmathtruncatemacronewYnumrows-Y
foreach X [evaluate=X as PrevX using int(X-1),count=nX] in 1,...,numcols

ReadOutElementdatatablePrevYPrevXCurrent
pgfmathtruncatemacronZnX+nY
ifnumnZ=2
xdefLstXPrevX
xdefLstYPrevY
xdefLstCCurrent
else
xdefLstXLstX,PrevX
xdefLstYLstY,PrevY
xdefLstCLstC,Current
fi


edeftempnoexpandpgfplotstableset
 create on use/x/.style=create col/set list=LstX,
 create on use/y/.style=create col/set list=LstY,
 create on use/color/.style=create col/set list=LstC,
temp
pgfmathtruncatemacrostrangenumnumrows*numcols
pgfplotstablenew[columns=x,y,color]strangenumstrangetable

%pgfplotstabletypeset[empty cells with=---]strangetable
begintikzpicture
% pgfplotsset%
% colormap=WhiteRedBlack%
% rgb255=(255,255,255)
% rgb255=(255,0,0)
% rgb255=(0,0,0)
% ,
% 
beginaxis[%
 small,
 every tick label/.append style=font=tiny,
 tick align=outside,
 minor tick num=5,
 %
 xlabel=$beta$,
 xticklabel pos=right,
 xlabel near ticks,
 xmin=-1, xmax=5,
 xtick=0, 5, ..., 4,
 %
 ylabel=$alpha$,
 ylabel style=rotate=-90,
 ymin=-1, ymax=5,
 ytick=0, 5, ..., 4,
 %
% point meta min=0,
% point meta max=32,
 point meta=explicit,
 %
 %colorbar sampled,
 colorbar as palette,
 colorbar style=samples=3,
 %colormap name=WhiteRedBlack,
 scale mode=scale uniformly,
]
draw (axis description cs:0,0) -- (axis description cs:1,0);
 addplot [
 matrix plot,
 %mesh/cols=4,
 point meta=explicit,
] table [meta=color,col sep=comma] strangetable;
endaxis
endtikzpicture
enddocument


enter image description here



BTW, the numbers you want to get rid of are nodes near coords. If you don't want them, just don't add them. And in my previous answer I also had a pgfplots-less method which is very similar, at least in spirit, to Steven's nice answer. Of course, using these methods, on the long run one may suffer from the fact that one cannot access some of the really cool features of pgfplots like 3d or color maps.






share|improve this answer






















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    2 Answers
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    2 Answers
    2






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    active

    oldest

    votes








    up vote
    2
    down vote













    Don't know if this is helpful, but I wanted to try it.



    For your case, I have 



    plotit[<scale reference>]<filename>


    where <scale reference> is the value, greater than any table entry, that serves as the 100% saturation value.



    I also have a version where you can enter data directly:



    beginstackColor[<scale reference>]
     23 4 77 \
     15 99 33\ 
     87 0 5 \
     97 33 55
    endstackColor


    The default scale reference is 100. There are two parameters to change appearance: cellwd defines the width/height of the color block, and cellcolor defines the fully saturated color of the plot.



    If you want the cellcolor to be a hybrid color, you cannot defcellcolorcyan!50 Rather, you need to use colorlet as in colorletmycyancyan!50 followed by defcellcolormycyan.



    I have set it up so that the plot sits on the baseline.



    EDITED to provide legend capability with makelegend. It uses two setable parameters



    deflegendwd6pt
    deflegendht30pt


    to define the legend colorbar dimension. It will print the legend where invoked, again sitting on the baseline.



    To apply any axes, I recommended to the OP to invoke plotit (and legend) in the confines of, for example, a tikz structure.



    The MWE:



    documentclassarticle
    usepackagelistofitems,readarray,environ,filecontents,xcolor,
     tabstackengine,etoolbox
    beginfilecontents*mydata.dat
    16 2 3 13
     5 11 10 8
     9 7 6 12
     4 14 15 1
    endfilecontents*
    %%%%%%%%%%%%%
    defcellwd15pt
    defcellcolorcyan
    deflegendwd6pt
    deflegendht30pt
    %%%%%%%%%%%%%
    newlengthdlegend
    newcounterlegcnt
    newtokstabAtoks
    newcountplotvalue
    newcommandapptotoks[2]#1expandafterthe#1#2
    NewEnvironstackColor[1][100]%
     ignoreemptyitems%
     deftAtmpcellcolor!%
     tabcolsep=0ptrelax%
     setsepchar\/ %
     readlist*tabABODY%
     tabAtoks%
     foreachitemiintabA%
     ifnumlistlentabA[icnt]>1relax%
     foreachitemjintabA[icnt]%
     expandafterplotvaluejrelax%
     multiplyplotvalue by 100%
     divideplotvalue by #1%
     xdefplotmax#1%
     ifnumjcnt=1relaxelseapptotokstabAtoks&fi%
     expandafterapptotoksexpandaftertabAtoksexpandafter%
     expandaftertextcolorexpandafterexpandaftertAtmp%
     theplotvaluerulecellwdcellwd%
     %
     ifnumicnt<listlentabArelaxapptotokstabAtoks%
     \fi%
     fi%
     %
     deftmpsetstackgapS0pttabbedShortstack%
     expandaftertmpexpandafterthetabAtoks%

    newcommandplotit[2][100]%
     readarraysepchar\%
     readdef#2mydata%
     deftmpbeginstackColor[#1]%
     expandaftertmpmydataendstackColor%

    newcommandmakelegend[1][fboxrule]%
     dlegend=legendht%
     dividedlegend by 100%
     setcounterlegcnt0%
     savestackthelegend%
     setstackgapS0pt%
     whileboolexprtest ifnumcompthelegcnt<101%
     savestackthelegendstackonthelegendtextcolor%
     cellcolor!thelegcntrulelegendwddlegend%
     stepcounterlegcnt%
     %
     fboxrule#1relaxfboxsep=0ptrelaxfboxthelegend%
     defplottickrule[.5dimexpr-dpstrutbox+htstrutbox]5pt%
     fboxrule%
     raisebox.5dimexprdpstrutbox-htstrutbox-fboxrule%
     defstackalignmentl%
     stackon[1.01dimexprlegendht]smashplottick0smash%
     plottickplotmax%
     %

    begindocument

    Here is my plot:
    beginstackColor[99]
     23 4 77 \
     15 99 33\ 
     87 0 5 \
     97 33 55
    endstackColor
    ~makelegend[.1pt]

    [
     defcellwd23pt
     defcellcolorred
     y = leftvcenterhboxplotit[16]mydata.datright
    ]
    enddocument


    enter image description here



    Ref: Based on my answer at Ensuring consistent formatting for tabular






    share|improve this answer






















    • This is close to what I'd want. I'd like a colorbar, and possibly the abillity to add axis'es (with interchangable tik lables))
      – Thorbjørn E. K. Christensen
      1 hour ago










    • @ThorbjørnE.K.Christensen I might be able to cobble together a colorbar macro, but for axes, I would suggest embedding the plotit inside some other application like tikz. Nothing I do here supports axis generation.
      – Steven B. Segletes
      1 hour ago










    • Do you want to show an example of how that would be done? That would be amazing !!!
      – Thorbjørn E. K. Christensen
      57 mins ago










    • @ThorbjørnE.K.Christensen I don't use tikz, so I can't guarantee anything there, but I will start looking at a legend macro.
      – Steven B. Segletes
      50 mins ago










    • @ThorbjørnE.K.Christensen legend capability has been added.
      – Steven B. Segletes
      12 mins ago














    up vote
    2
    down vote













    Don't know if this is helpful, but I wanted to try it.



    For your case, I have 



    plotit[<scale reference>]<filename>


    where <scale reference> is the value, greater than any table entry, that serves as the 100% saturation value.



    I also have a version where you can enter data directly:



    beginstackColor[<scale reference>]
     23 4 77 \
     15 99 33\ 
     87 0 5 \
     97 33 55
    endstackColor


    The default scale reference is 100. There are two parameters to change appearance: cellwd defines the width/height of the color block, and cellcolor defines the fully saturated color of the plot.



    If you want the cellcolor to be a hybrid color, you cannot defcellcolorcyan!50 Rather, you need to use colorlet as in colorletmycyancyan!50 followed by defcellcolormycyan.



    I have set it up so that the plot sits on the baseline.



    EDITED to provide legend capability with makelegend. It uses two setable parameters



    deflegendwd6pt
    deflegendht30pt


    to define the legend colorbar dimension. It will print the legend where invoked, again sitting on the baseline.



    To apply any axes, I recommended to the OP to invoke plotit (and legend) in the confines of, for example, a tikz structure.



    The MWE:



    documentclassarticle
    usepackagelistofitems,readarray,environ,filecontents,xcolor,
     tabstackengine,etoolbox
    beginfilecontents*mydata.dat
    16 2 3 13
     5 11 10 8
     9 7 6 12
     4 14 15 1
    endfilecontents*
    %%%%%%%%%%%%%
    defcellwd15pt
    defcellcolorcyan
    deflegendwd6pt
    deflegendht30pt
    %%%%%%%%%%%%%
    newlengthdlegend
    newcounterlegcnt
    newtokstabAtoks
    newcountplotvalue
    newcommandapptotoks[2]#1expandafterthe#1#2
    NewEnvironstackColor[1][100]%
     ignoreemptyitems%
     deftAtmpcellcolor!%
     tabcolsep=0ptrelax%
     setsepchar\/ %
     readlist*tabABODY%
     tabAtoks%
     foreachitemiintabA%
     ifnumlistlentabA[icnt]>1relax%
     foreachitemjintabA[icnt]%
     expandafterplotvaluejrelax%
     multiplyplotvalue by 100%
     divideplotvalue by #1%
     xdefplotmax#1%
     ifnumjcnt=1relaxelseapptotokstabAtoks&fi%
     expandafterapptotoksexpandaftertabAtoksexpandafter%
     expandaftertextcolorexpandafterexpandaftertAtmp%
     theplotvaluerulecellwdcellwd%
     %
     ifnumicnt<listlentabArelaxapptotokstabAtoks%
     \fi%
     fi%
     %
     deftmpsetstackgapS0pttabbedShortstack%
     expandaftertmpexpandafterthetabAtoks%

    newcommandplotit[2][100]%
     readarraysepchar\%
     readdef#2mydata%
     deftmpbeginstackColor[#1]%
     expandaftertmpmydataendstackColor%

    newcommandmakelegend[1][fboxrule]%
     dlegend=legendht%
     dividedlegend by 100%
     setcounterlegcnt0%
     savestackthelegend%
     setstackgapS0pt%
     whileboolexprtest ifnumcompthelegcnt<101%
     savestackthelegendstackonthelegendtextcolor%
     cellcolor!thelegcntrulelegendwddlegend%
     stepcounterlegcnt%
     %
     fboxrule#1relaxfboxsep=0ptrelaxfboxthelegend%
     defplottickrule[.5dimexpr-dpstrutbox+htstrutbox]5pt%
     fboxrule%
     raisebox.5dimexprdpstrutbox-htstrutbox-fboxrule%
     defstackalignmentl%
     stackon[1.01dimexprlegendht]smashplottick0smash%
     plottickplotmax%
     %

    begindocument

    Here is my plot:
    beginstackColor[99]
     23 4 77 \
     15 99 33\ 
     87 0 5 \
     97 33 55
    endstackColor
    ~makelegend[.1pt]

    [
     defcellwd23pt
     defcellcolorred
     y = leftvcenterhboxplotit[16]mydata.datright
    ]
    enddocument


    enter image description here



    Ref: Based on my answer at Ensuring consistent formatting for tabular






    share|improve this answer






















    • This is close to what I'd want. I'd like a colorbar, and possibly the abillity to add axis'es (with interchangable tik lables))
      – Thorbjørn E. K. Christensen
      1 hour ago










    • @ThorbjørnE.K.Christensen I might be able to cobble together a colorbar macro, but for axes, I would suggest embedding the plotit inside some other application like tikz. Nothing I do here supports axis generation.
      – Steven B. Segletes
      1 hour ago










    • Do you want to show an example of how that would be done? That would be amazing !!!
      – Thorbjørn E. K. Christensen
      57 mins ago










    • @ThorbjørnE.K.Christensen I don't use tikz, so I can't guarantee anything there, but I will start looking at a legend macro.
      – Steven B. Segletes
      50 mins ago










    • @ThorbjørnE.K.Christensen legend capability has been added.
      – Steven B. Segletes
      12 mins ago












    up vote
    2
    down vote










    up vote
    2
    down vote









    Don't know if this is helpful, but I wanted to try it.



    For your case, I have 



    plotit[<scale reference>]<filename>


    where <scale reference> is the value, greater than any table entry, that serves as the 100% saturation value.



    I also have a version where you can enter data directly:



    beginstackColor[<scale reference>]
     23 4 77 \
     15 99 33\ 
     87 0 5 \
     97 33 55
    endstackColor


    The default scale reference is 100. There are two parameters to change appearance: cellwd defines the width/height of the color block, and cellcolor defines the fully saturated color of the plot.



    If you want the cellcolor to be a hybrid color, you cannot defcellcolorcyan!50 Rather, you need to use colorlet as in colorletmycyancyan!50 followed by defcellcolormycyan.



    I have set it up so that the plot sits on the baseline.



    EDITED to provide legend capability with makelegend. It uses two setable parameters



    deflegendwd6pt
    deflegendht30pt


    to define the legend colorbar dimension. It will print the legend where invoked, again sitting on the baseline.



    To apply any axes, I recommended to the OP to invoke plotit (and legend) in the confines of, for example, a tikz structure.



    The MWE:



    documentclassarticle
    usepackagelistofitems,readarray,environ,filecontents,xcolor,
     tabstackengine,etoolbox
    beginfilecontents*mydata.dat
    16 2 3 13
     5 11 10 8
     9 7 6 12
     4 14 15 1
    endfilecontents*
    %%%%%%%%%%%%%
    defcellwd15pt
    defcellcolorcyan
    deflegendwd6pt
    deflegendht30pt
    %%%%%%%%%%%%%
    newlengthdlegend
    newcounterlegcnt
    newtokstabAtoks
    newcountplotvalue
    newcommandapptotoks[2]#1expandafterthe#1#2
    NewEnvironstackColor[1][100]%
     ignoreemptyitems%
     deftAtmpcellcolor!%
     tabcolsep=0ptrelax%
     setsepchar\/ %
     readlist*tabABODY%
     tabAtoks%
     foreachitemiintabA%
     ifnumlistlentabA[icnt]>1relax%
     foreachitemjintabA[icnt]%
     expandafterplotvaluejrelax%
     multiplyplotvalue by 100%
     divideplotvalue by #1%
     xdefplotmax#1%
     ifnumjcnt=1relaxelseapptotokstabAtoks&fi%
     expandafterapptotoksexpandaftertabAtoksexpandafter%
     expandaftertextcolorexpandafterexpandaftertAtmp%
     theplotvaluerulecellwdcellwd%
     %
     ifnumicnt<listlentabArelaxapptotokstabAtoks%
     \fi%
     fi%
     %
     deftmpsetstackgapS0pttabbedShortstack%
     expandaftertmpexpandafterthetabAtoks%

    newcommandplotit[2][100]%
     readarraysepchar\%
     readdef#2mydata%
     deftmpbeginstackColor[#1]%
     expandaftertmpmydataendstackColor%

    newcommandmakelegend[1][fboxrule]%
     dlegend=legendht%
     dividedlegend by 100%
     setcounterlegcnt0%
     savestackthelegend%
     setstackgapS0pt%
     whileboolexprtest ifnumcompthelegcnt<101%
     savestackthelegendstackonthelegendtextcolor%
     cellcolor!thelegcntrulelegendwddlegend%
     stepcounterlegcnt%
     %
     fboxrule#1relaxfboxsep=0ptrelaxfboxthelegend%
     defplottickrule[.5dimexpr-dpstrutbox+htstrutbox]5pt%
     fboxrule%
     raisebox.5dimexprdpstrutbox-htstrutbox-fboxrule%
     defstackalignmentl%
     stackon[1.01dimexprlegendht]smashplottick0smash%
     plottickplotmax%
     %

    begindocument

    Here is my plot:
    beginstackColor[99]
     23 4 77 \
     15 99 33\ 
     87 0 5 \
     97 33 55
    endstackColor
    ~makelegend[.1pt]

    [
     defcellwd23pt
     defcellcolorred
     y = leftvcenterhboxplotit[16]mydata.datright
    ]
    enddocument


    enter image description here



    Ref: Based on my answer at Ensuring consistent formatting for tabular






    share|improve this answer














    Don't know if this is helpful, but I wanted to try it.



    For your case, I have 



    plotit[<scale reference>]<filename>


    where <scale reference> is the value, greater than any table entry, that serves as the 100% saturation value.



    I also have a version where you can enter data directly:



    beginstackColor[<scale reference>]
     23 4 77 \
     15 99 33\ 
     87 0 5 \
     97 33 55
    endstackColor


    The default scale reference is 100. There are two parameters to change appearance: cellwd defines the width/height of the color block, and cellcolor defines the fully saturated color of the plot.



    If you want the cellcolor to be a hybrid color, you cannot defcellcolorcyan!50 Rather, you need to use colorlet as in colorletmycyancyan!50 followed by defcellcolormycyan.



    I have set it up so that the plot sits on the baseline.



    EDITED to provide legend capability with makelegend. It uses two setable parameters



    deflegendwd6pt
    deflegendht30pt


    to define the legend colorbar dimension. It will print the legend where invoked, again sitting on the baseline.



    To apply any axes, I recommended to the OP to invoke plotit (and legend) in the confines of, for example, a tikz structure.



    The MWE:



    documentclassarticle
    usepackagelistofitems,readarray,environ,filecontents,xcolor,
     tabstackengine,etoolbox
    beginfilecontents*mydata.dat
    16 2 3 13
     5 11 10 8
     9 7 6 12
     4 14 15 1
    endfilecontents*
    %%%%%%%%%%%%%
    defcellwd15pt
    defcellcolorcyan
    deflegendwd6pt
    deflegendht30pt
    %%%%%%%%%%%%%
    newlengthdlegend
    newcounterlegcnt
    newtokstabAtoks
    newcountplotvalue
    newcommandapptotoks[2]#1expandafterthe#1#2
    NewEnvironstackColor[1][100]%
     ignoreemptyitems%
     deftAtmpcellcolor!%
     tabcolsep=0ptrelax%
     setsepchar\/ %
     readlist*tabABODY%
     tabAtoks%
     foreachitemiintabA%
     ifnumlistlentabA[icnt]>1relax%
     foreachitemjintabA[icnt]%
     expandafterplotvaluejrelax%
     multiplyplotvalue by 100%
     divideplotvalue by #1%
     xdefplotmax#1%
     ifnumjcnt=1relaxelseapptotokstabAtoks&fi%
     expandafterapptotoksexpandaftertabAtoksexpandafter%
     expandaftertextcolorexpandafterexpandaftertAtmp%
     theplotvaluerulecellwdcellwd%
     %
     ifnumicnt<listlentabArelaxapptotokstabAtoks%
     \fi%
     fi%
     %
     deftmpsetstackgapS0pttabbedShortstack%
     expandaftertmpexpandafterthetabAtoks%

    newcommandplotit[2][100]%
     readarraysepchar\%
     readdef#2mydata%
     deftmpbeginstackColor[#1]%
     expandaftertmpmydataendstackColor%

    newcommandmakelegend[1][fboxrule]%
     dlegend=legendht%
     dividedlegend by 100%
     setcounterlegcnt0%
     savestackthelegend%
     setstackgapS0pt%
     whileboolexprtest ifnumcompthelegcnt<101%
     savestackthelegendstackonthelegendtextcolor%
     cellcolor!thelegcntrulelegendwddlegend%
     stepcounterlegcnt%
     %
     fboxrule#1relaxfboxsep=0ptrelaxfboxthelegend%
     defplottickrule[.5dimexpr-dpstrutbox+htstrutbox]5pt%
     fboxrule%
     raisebox.5dimexprdpstrutbox-htstrutbox-fboxrule%
     defstackalignmentl%
     stackon[1.01dimexprlegendht]smashplottick0smash%
     plottickplotmax%
     %

    begindocument

    Here is my plot:
    beginstackColor[99]
     23 4 77 \
     15 99 33\ 
     87 0 5 \
     97 33 55
    endstackColor
    ~makelegend[.1pt]

    [
     defcellwd23pt
     defcellcolorred
     y = leftvcenterhboxplotit[16]mydata.datright
    ]
    enddocument


    enter image description here



    Ref: Based on my answer at Ensuring consistent formatting for tabular







    share|improve this answer














    share|improve this answer



    share|improve this answer








    edited 1 min ago

























    answered 1 hour ago









    Steven B. Segletes

    147k9186389




    147k9186389











    • This is close to what I'd want. I'd like a colorbar, and possibly the abillity to add axis'es (with interchangable tik lables))
      – Thorbjørn E. K. Christensen
      1 hour ago










    • @ThorbjørnE.K.Christensen I might be able to cobble together a colorbar macro, but for axes, I would suggest embedding the plotit inside some other application like tikz. Nothing I do here supports axis generation.
      – Steven B. Segletes
      1 hour ago










    • Do you want to show an example of how that would be done? That would be amazing !!!
      – Thorbjørn E. K. Christensen
      57 mins ago










    • @ThorbjørnE.K.Christensen I don't use tikz, so I can't guarantee anything there, but I will start looking at a legend macro.
      – Steven B. Segletes
      50 mins ago










    • @ThorbjørnE.K.Christensen legend capability has been added.
      – Steven B. Segletes
      12 mins ago
















    • This is close to what I'd want. I'd like a colorbar, and possibly the abillity to add axis'es (with interchangable tik lables))
      – Thorbjørn E. K. Christensen
      1 hour ago










    • @ThorbjørnE.K.Christensen I might be able to cobble together a colorbar macro, but for axes, I would suggest embedding the plotit inside some other application like tikz. Nothing I do here supports axis generation.
      – Steven B. Segletes
      1 hour ago










    • Do you want to show an example of how that would be done? That would be amazing !!!
      – Thorbjørn E. K. Christensen
      57 mins ago










    • @ThorbjørnE.K.Christensen I don't use tikz, so I can't guarantee anything there, but I will start looking at a legend macro.
      – Steven B. Segletes
      50 mins ago










    • @ThorbjørnE.K.Christensen legend capability has been added.
      – Steven B. Segletes
      12 mins ago















    This is close to what I'd want. I'd like a colorbar, and possibly the abillity to add axis'es (with interchangable tik lables))
    – Thorbjørn E. K. Christensen
    1 hour ago




    This is close to what I'd want. I'd like a colorbar, and possibly the abillity to add axis'es (with interchangable tik lables))
    – Thorbjørn E. K. Christensen
    1 hour ago












    @ThorbjørnE.K.Christensen I might be able to cobble together a colorbar macro, but for axes, I would suggest embedding the plotit inside some other application like tikz. Nothing I do here supports axis generation.
    – Steven B. Segletes
    1 hour ago




    @ThorbjørnE.K.Christensen I might be able to cobble together a colorbar macro, but for axes, I would suggest embedding the plotit inside some other application like tikz. Nothing I do here supports axis generation.
    – Steven B. Segletes
    1 hour ago












    Do you want to show an example of how that would be done? That would be amazing !!!
    – Thorbjørn E. K. Christensen
    57 mins ago




    Do you want to show an example of how that would be done? That would be amazing !!!
    – Thorbjørn E. K. Christensen
    57 mins ago












    @ThorbjørnE.K.Christensen I don't use tikz, so I can't guarantee anything there, but I will start looking at a legend macro.
    – Steven B. Segletes
    50 mins ago




    @ThorbjørnE.K.Christensen I don't use tikz, so I can't guarantee anything there, but I will start looking at a legend macro.
    – Steven B. Segletes
    50 mins ago












    @ThorbjørnE.K.Christensen legend capability has been added.
    – Steven B. Segletes
    12 mins ago




    @ThorbjørnE.K.Christensen legend capability has been added.
    – Steven B. Segletes
    12 mins ago










    up vote
    1
    down vote













    Some time back I wrote some macros that convert the data format you start with to the one you got after "restructuring" the data automatically. At the time I wrote these, I thought there must be a much simpler way. However, I did not see a simpler way so far, and nobody complained. So perhaps this is the way to go:



    1. Read the data.

    2. Convert the data to the matrix format and store it in a table.

    3. Use this new table in a matrix plot.

    Here are code and result.



    documentclass[border=3.14mm,tikz]standalone
    usepackagepgfplots
    usetikzlibrarypgfplots.colormaps
    pgfplotssetcompat=1.16
    usepackagepgfplotstable
    usepackagefilecontents

    beginfilecontents*entries.dat
    16 2 3 13
     5 11 10 8
     9 7 6 12
     4 14 15 1
    endfilecontents*
    newcommand*ReadOutElement[4]%
     pgfplotstablegetelem#2[index]#3of#1%
     let#4pgfplotsretval

    begindocument
    pgfplotstableread[header=false]entries.datdatatable
    pgfplotstablegetrowsofdatatable
    pgfmathtruncatemacronumrowspgfplotsretval
    pgfplotstablegetcolsofdatatable
    pgfmathtruncatemacronumcolspgfplotsretval
    xdefLstX
    xdefLstY
    xdefLstC
    foreach Y [evaluate=Y as PrevY using int(Y-1),count=nY] in 1,...,numrows
    pgfmathtruncatemacronewYnumrows-Y
    foreach X [evaluate=X as PrevX using int(X-1),count=nX] in 1,...,numcols

    ReadOutElementdatatablePrevYPrevXCurrent
    pgfmathtruncatemacronZnX+nY
    ifnumnZ=2
    xdefLstXPrevX
    xdefLstYPrevY
    xdefLstCCurrent
    else
    xdefLstXLstX,PrevX
    xdefLstYLstY,PrevY
    xdefLstCLstC,Current
    fi


    edeftempnoexpandpgfplotstableset
     create on use/x/.style=create col/set list=LstX,
     create on use/y/.style=create col/set list=LstY,
     create on use/color/.style=create col/set list=LstC,
    temp
    pgfmathtruncatemacrostrangenumnumrows*numcols
    pgfplotstablenew[columns=x,y,color]strangenumstrangetable

    %pgfplotstabletypeset[empty cells with=---]strangetable
    begintikzpicture
    % pgfplotsset%
    % colormap=WhiteRedBlack%
    % rgb255=(255,255,255)
    % rgb255=(255,0,0)
    % rgb255=(0,0,0)
    % ,
    % 
    beginaxis[%
     small,
     every tick label/.append style=font=tiny,
     tick align=outside,
     minor tick num=5,
     %
     xlabel=$beta$,
     xticklabel pos=right,
     xlabel near ticks,
     xmin=-1, xmax=5,
     xtick=0, 5, ..., 4,
     %
     ylabel=$alpha$,
     ylabel style=rotate=-90,
     ymin=-1, ymax=5,
     ytick=0, 5, ..., 4,
     %
    % point meta min=0,
    % point meta max=32,
     point meta=explicit,
     %
     %colorbar sampled,
     colorbar as palette,
     colorbar style=samples=3,
     %colormap name=WhiteRedBlack,
     scale mode=scale uniformly,
    ]
    draw (axis description cs:0,0) -- (axis description cs:1,0);
     addplot [
     matrix plot,
     %mesh/cols=4,
     point meta=explicit,
    ] table [meta=color,col sep=comma] strangetable;
    endaxis
    endtikzpicture
    enddocument


    enter image description here



    BTW, the numbers you want to get rid of are nodes near coords. If you don't want them, just don't add them. And in my previous answer I also had a pgfplots-less method which is very similar, at least in spirit, to Steven's nice answer. Of course, using these methods, on the long run one may suffer from the fact that one cannot access some of the really cool features of pgfplots like 3d or color maps.






    share|improve this answer


























      up vote
      1
      down vote













      Some time back I wrote some macros that convert the data format you start with to the one you got after "restructuring" the data automatically. At the time I wrote these, I thought there must be a much simpler way. However, I did not see a simpler way so far, and nobody complained. So perhaps this is the way to go:



      1. Read the data.

      2. Convert the data to the matrix format and store it in a table.

      3. Use this new table in a matrix plot.

      Here are code and result.



      documentclass[border=3.14mm,tikz]standalone
      usepackagepgfplots
      usetikzlibrarypgfplots.colormaps
      pgfplotssetcompat=1.16
      usepackagepgfplotstable
      usepackagefilecontents

      beginfilecontents*entries.dat
      16 2 3 13
       5 11 10 8
       9 7 6 12
       4 14 15 1
      endfilecontents*
      newcommand*ReadOutElement[4]%
       pgfplotstablegetelem#2[index]#3of#1%
       let#4pgfplotsretval

      begindocument
      pgfplotstableread[header=false]entries.datdatatable
      pgfplotstablegetrowsofdatatable
      pgfmathtruncatemacronumrowspgfplotsretval
      pgfplotstablegetcolsofdatatable
      pgfmathtruncatemacronumcolspgfplotsretval
      xdefLstX
      xdefLstY
      xdefLstC
      foreach Y [evaluate=Y as PrevY using int(Y-1),count=nY] in 1,...,numrows
      pgfmathtruncatemacronewYnumrows-Y
      foreach X [evaluate=X as PrevX using int(X-1),count=nX] in 1,...,numcols

      ReadOutElementdatatablePrevYPrevXCurrent
      pgfmathtruncatemacronZnX+nY
      ifnumnZ=2
      xdefLstXPrevX
      xdefLstYPrevY
      xdefLstCCurrent
      else
      xdefLstXLstX,PrevX
      xdefLstYLstY,PrevY
      xdefLstCLstC,Current
      fi


      edeftempnoexpandpgfplotstableset
       create on use/x/.style=create col/set list=LstX,
       create on use/y/.style=create col/set list=LstY,
       create on use/color/.style=create col/set list=LstC,
      temp
      pgfmathtruncatemacrostrangenumnumrows*numcols
      pgfplotstablenew[columns=x,y,color]strangenumstrangetable

      %pgfplotstabletypeset[empty cells with=---]strangetable
      begintikzpicture
      % pgfplotsset%
      % colormap=WhiteRedBlack%
      % rgb255=(255,255,255)
      % rgb255=(255,0,0)
      % rgb255=(0,0,0)
      % ,
      % 
      beginaxis[%
       small,
       every tick label/.append style=font=tiny,
       tick align=outside,
       minor tick num=5,
       %
       xlabel=$beta$,
       xticklabel pos=right,
       xlabel near ticks,
       xmin=-1, xmax=5,
       xtick=0, 5, ..., 4,
       %
       ylabel=$alpha$,
       ylabel style=rotate=-90,
       ymin=-1, ymax=5,
       ytick=0, 5, ..., 4,
       %
      % point meta min=0,
      % point meta max=32,
       point meta=explicit,
       %
       %colorbar sampled,
       colorbar as palette,
       colorbar style=samples=3,
       %colormap name=WhiteRedBlack,
       scale mode=scale uniformly,
      ]
      draw (axis description cs:0,0) -- (axis description cs:1,0);
       addplot [
       matrix plot,
       %mesh/cols=4,
       point meta=explicit,
      ] table [meta=color,col sep=comma] strangetable;
      endaxis
      endtikzpicture
      enddocument


      enter image description here



      BTW, the numbers you want to get rid of are nodes near coords. If you don't want them, just don't add them. And in my previous answer I also had a pgfplots-less method which is very similar, at least in spirit, to Steven's nice answer. Of course, using these methods, on the long run one may suffer from the fact that one cannot access some of the really cool features of pgfplots like 3d or color maps.






      share|improve this answer
























        up vote
        1
        down vote










        up vote
        1
        down vote









        Some time back I wrote some macros that convert the data format you start with to the one you got after "restructuring" the data automatically. At the time I wrote these, I thought there must be a much simpler way. However, I did not see a simpler way so far, and nobody complained. So perhaps this is the way to go:



        1. Read the data.

        2. Convert the data to the matrix format and store it in a table.

        3. Use this new table in a matrix plot.

        Here are code and result.



        documentclass[border=3.14mm,tikz]standalone
        usepackagepgfplots
        usetikzlibrarypgfplots.colormaps
        pgfplotssetcompat=1.16
        usepackagepgfplotstable
        usepackagefilecontents

        beginfilecontents*entries.dat
        16 2 3 13
         5 11 10 8
         9 7 6 12
         4 14 15 1
        endfilecontents*
        newcommand*ReadOutElement[4]%
         pgfplotstablegetelem#2[index]#3of#1%
         let#4pgfplotsretval

        begindocument
        pgfplotstableread[header=false]entries.datdatatable
        pgfplotstablegetrowsofdatatable
        pgfmathtruncatemacronumrowspgfplotsretval
        pgfplotstablegetcolsofdatatable
        pgfmathtruncatemacronumcolspgfplotsretval
        xdefLstX
        xdefLstY
        xdefLstC
        foreach Y [evaluate=Y as PrevY using int(Y-1),count=nY] in 1,...,numrows
        pgfmathtruncatemacronewYnumrows-Y
        foreach X [evaluate=X as PrevX using int(X-1),count=nX] in 1,...,numcols

        ReadOutElementdatatablePrevYPrevXCurrent
        pgfmathtruncatemacronZnX+nY
        ifnumnZ=2
        xdefLstXPrevX
        xdefLstYPrevY
        xdefLstCCurrent
        else
        xdefLstXLstX,PrevX
        xdefLstYLstY,PrevY
        xdefLstCLstC,Current
        fi


        edeftempnoexpandpgfplotstableset
         create on use/x/.style=create col/set list=LstX,
         create on use/y/.style=create col/set list=LstY,
         create on use/color/.style=create col/set list=LstC,
        temp
        pgfmathtruncatemacrostrangenumnumrows*numcols
        pgfplotstablenew[columns=x,y,color]strangenumstrangetable

        %pgfplotstabletypeset[empty cells with=---]strangetable
        begintikzpicture
        % pgfplotsset%
        % colormap=WhiteRedBlack%
        % rgb255=(255,255,255)
        % rgb255=(255,0,0)
        % rgb255=(0,0,0)
        % ,
        % 
        beginaxis[%
         small,
         every tick label/.append style=font=tiny,
         tick align=outside,
         minor tick num=5,
         %
         xlabel=$beta$,
         xticklabel pos=right,
         xlabel near ticks,
         xmin=-1, xmax=5,
         xtick=0, 5, ..., 4,
         %
         ylabel=$alpha$,
         ylabel style=rotate=-90,
         ymin=-1, ymax=5,
         ytick=0, 5, ..., 4,
         %
        % point meta min=0,
        % point meta max=32,
         point meta=explicit,
         %
         %colorbar sampled,
         colorbar as palette,
         colorbar style=samples=3,
         %colormap name=WhiteRedBlack,
         scale mode=scale uniformly,
        ]
        draw (axis description cs:0,0) -- (axis description cs:1,0);
         addplot [
         matrix plot,
         %mesh/cols=4,
         point meta=explicit,
        ] table [meta=color,col sep=comma] strangetable;
        endaxis
        endtikzpicture
        enddocument


        enter image description here



        BTW, the numbers you want to get rid of are nodes near coords. If you don't want them, just don't add them. And in my previous answer I also had a pgfplots-less method which is very similar, at least in spirit, to Steven's nice answer. Of course, using these methods, on the long run one may suffer from the fact that one cannot access some of the really cool features of pgfplots like 3d or color maps.






        share|improve this answer














        Some time back I wrote some macros that convert the data format you start with to the one you got after "restructuring" the data automatically. At the time I wrote these, I thought there must be a much simpler way. However, I did not see a simpler way so far, and nobody complained. So perhaps this is the way to go:



        1. Read the data.

        2. Convert the data to the matrix format and store it in a table.

        3. Use this new table in a matrix plot.

        Here are code and result.



        documentclass[border=3.14mm,tikz]standalone
        usepackagepgfplots
        usetikzlibrarypgfplots.colormaps
        pgfplotssetcompat=1.16
        usepackagepgfplotstable
        usepackagefilecontents

        beginfilecontents*entries.dat
        16 2 3 13
         5 11 10 8
         9 7 6 12
         4 14 15 1
        endfilecontents*
        newcommand*ReadOutElement[4]%
         pgfplotstablegetelem#2[index]#3of#1%
         let#4pgfplotsretval

        begindocument
        pgfplotstableread[header=false]entries.datdatatable
        pgfplotstablegetrowsofdatatable
        pgfmathtruncatemacronumrowspgfplotsretval
        pgfplotstablegetcolsofdatatable
        pgfmathtruncatemacronumcolspgfplotsretval
        xdefLstX
        xdefLstY
        xdefLstC
        foreach Y [evaluate=Y as PrevY using int(Y-1),count=nY] in 1,...,numrows
        pgfmathtruncatemacronewYnumrows-Y
        foreach X [evaluate=X as PrevX using int(X-1),count=nX] in 1,...,numcols

        ReadOutElementdatatablePrevYPrevXCurrent
        pgfmathtruncatemacronZnX+nY
        ifnumnZ=2
        xdefLstXPrevX
        xdefLstYPrevY
        xdefLstCCurrent
        else
        xdefLstXLstX,PrevX
        xdefLstYLstY,PrevY
        xdefLstCLstC,Current
        fi


        edeftempnoexpandpgfplotstableset
         create on use/x/.style=create col/set list=LstX,
         create on use/y/.style=create col/set list=LstY,
         create on use/color/.style=create col/set list=LstC,
        temp
        pgfmathtruncatemacrostrangenumnumrows*numcols
        pgfplotstablenew[columns=x,y,color]strangenumstrangetable

        %pgfplotstabletypeset[empty cells with=---]strangetable
        begintikzpicture
        % pgfplotsset%
        % colormap=WhiteRedBlack%
        % rgb255=(255,255,255)
        % rgb255=(255,0,0)
        % rgb255=(0,0,0)
        % ,
        % 
        beginaxis[%
         small,
         every tick label/.append style=font=tiny,
         tick align=outside,
         minor tick num=5,
         %
         xlabel=$beta$,
         xticklabel pos=right,
         xlabel near ticks,
         xmin=-1, xmax=5,
         xtick=0, 5, ..., 4,
         %
         ylabel=$alpha$,
         ylabel style=rotate=-90,
         ymin=-1, ymax=5,
         ytick=0, 5, ..., 4,
         %
        % point meta min=0,
        % point meta max=32,
         point meta=explicit,
         %
         %colorbar sampled,
         colorbar as palette,
         colorbar style=samples=3,
         %colormap name=WhiteRedBlack,
         scale mode=scale uniformly,
        ]
        draw (axis description cs:0,0) -- (axis description cs:1,0);
         addplot [
         matrix plot,
         %mesh/cols=4,
         point meta=explicit,
        ] table [meta=color,col sep=comma] strangetable;
        endaxis
        endtikzpicture
        enddocument


        enter image description here



        BTW, the numbers you want to get rid of are nodes near coords. If you don't want them, just don't add them. And in my previous answer I also had a pgfplots-less method which is very similar, at least in spirit, to Steven's nice answer. Of course, using these methods, on the long run one may suffer from the fact that one cannot access some of the really cool features of pgfplots like 3d or color maps.







        share|improve this answer














        share|improve this answer



        share|improve this answer








        edited 36 mins ago

























        answered 42 mins ago









        marmot

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