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3d histogram without external programs


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3















I have found the answer from @marmot in the following post, which looks very nice and doesn't need any external programs. But I have some problem to adjust the z axis to my data.



3-dimensional histogram in pgfplots



In this example the z values of my data are not between 0 and 100, but between 0 and 1000.
I don't get the part where it says "here one has to cheat". What do I need to adjust for z values not between 0 and 100?



documentclass[tikz,border=3.14pt]{standalone}
usepackage{pgfplots}
usepackage{pgfplotstable}
pgfplotsset{compat=1.15}
begin{document}
pgfplotstableread[col sep=comma,header=true]{%
x,y,color,myvalue
2,3,1,1000
4,3,2,30
2,7,3,0.75
7,7,4,450
8,5,2,300
2,5,1,100
4,-4,2,1
4,1,3,750
5,-1,4,4
5,2,2,300
1,-2,1,100
2,5,2,5
3,-8,3,750
4,5,4,420
7,-2,2,200
}{datatable}
%
pgfplotstablesort[col sep=comma,header=true]resulttable{datatable}
begin{tikzpicture}%[x={(0.866cm,-0.5cm)},y={(0.866cm,0.5cm)},z={(0cm,1 cm)}]
pgfplotsset{set layers}
begin{axis}[% from section 4.6.4 of the pgfplotsmanual
view={120}{40},
width=320pt,
height=280pt,
z buffer=none,
xmin=-1,xmax=8,
ymin=-10,ymax=8,
zmin=0,zmax=1000,
enlargelimits=upper,
ztick={0,500,1000},
zticklabels={0,500,1000}, % here one has to "cheat"
xtick=data,
extra tick style={grid=major},
ytick=data,
grid=minor,
xlabel={$x$},
ylabel={$y$},
zlabel={$z$},
minor tick num=1,
point meta=explicit,
colormap name=viridis,
scatter/use mapped color={
draw=mapped color,fill=mapped color!70},
]
addplot3 [visualization depends on={z as myz},
scatter/@pre marker code/.append style={/pgfplots/cube/size z=myz},%
scatter,only marks,
mark=cube*,mark size=5]
table[x expr={thisrow{x}},y expr={thisrow{y}},z
expr={thisrow{myvalue}},
meta expr={thisrow{color}}
] resulttable;
end{axis}
end{tikzpicture}
end{document}


Result:



enter image description here



EDIT:
Now after Marmot presented a really nice solution for plotting a 3d histogram, I am asking if it's possible to make it even more automatic, by also computing the depth and width of the bars?



ADDITION:
I have some data sets with a very high range in x and y. When I change the cube size like suggested in x and y direction I get very small bars (see first image below). My data is a classification, where the range is split up in 64 or 100 classes. So one bar needs to be as big as the range divided by 64 or 100 in x and y direction. The solution marmot suggested works fine, but in this specific case the cube sizes are to small. It says 0,00192pt in x and 0,00272pt in y direction. Right now I am calculating the cube size by hand. I take the values given by marmot and multiply them with my range and then divide them with my classes. For x direction: 0,00192pt*65000/64=1,95pt and for y: 0,00272pt*65000/64=2,7625pt. (Result in second image)
How can I adapt this to the code?



enter image description here



enter image description here










share|improve this question





























    3















    I have found the answer from @marmot in the following post, which looks very nice and doesn't need any external programs. But I have some problem to adjust the z axis to my data.



    3-dimensional histogram in pgfplots



    In this example the z values of my data are not between 0 and 100, but between 0 and 1000.
    I don't get the part where it says "here one has to cheat". What do I need to adjust for z values not between 0 and 100?



    documentclass[tikz,border=3.14pt]{standalone}
    usepackage{pgfplots}
    usepackage{pgfplotstable}
    pgfplotsset{compat=1.15}
    begin{document}
    pgfplotstableread[col sep=comma,header=true]{%
    x,y,color,myvalue
    2,3,1,1000
    4,3,2,30
    2,7,3,0.75
    7,7,4,450
    8,5,2,300
    2,5,1,100
    4,-4,2,1
    4,1,3,750
    5,-1,4,4
    5,2,2,300
    1,-2,1,100
    2,5,2,5
    3,-8,3,750
    4,5,4,420
    7,-2,2,200
    }{datatable}
    %
    pgfplotstablesort[col sep=comma,header=true]resulttable{datatable}
    begin{tikzpicture}%[x={(0.866cm,-0.5cm)},y={(0.866cm,0.5cm)},z={(0cm,1 cm)}]
    pgfplotsset{set layers}
    begin{axis}[% from section 4.6.4 of the pgfplotsmanual
    view={120}{40},
    width=320pt,
    height=280pt,
    z buffer=none,
    xmin=-1,xmax=8,
    ymin=-10,ymax=8,
    zmin=0,zmax=1000,
    enlargelimits=upper,
    ztick={0,500,1000},
    zticklabels={0,500,1000}, % here one has to "cheat"
    xtick=data,
    extra tick style={grid=major},
    ytick=data,
    grid=minor,
    xlabel={$x$},
    ylabel={$y$},
    zlabel={$z$},
    minor tick num=1,
    point meta=explicit,
    colormap name=viridis,
    scatter/use mapped color={
    draw=mapped color,fill=mapped color!70},
    ]
    addplot3 [visualization depends on={z as myz},
    scatter/@pre marker code/.append style={/pgfplots/cube/size z=myz},%
    scatter,only marks,
    mark=cube*,mark size=5]
    table[x expr={thisrow{x}},y expr={thisrow{y}},z
    expr={thisrow{myvalue}},
    meta expr={thisrow{color}}
    ] resulttable;
    end{axis}
    end{tikzpicture}
    end{document}


    Result:



    enter image description here



    EDIT:
    Now after Marmot presented a really nice solution for plotting a 3d histogram, I am asking if it's possible to make it even more automatic, by also computing the depth and width of the bars?



    ADDITION:
    I have some data sets with a very high range in x and y. When I change the cube size like suggested in x and y direction I get very small bars (see first image below). My data is a classification, where the range is split up in 64 or 100 classes. So one bar needs to be as big as the range divided by 64 or 100 in x and y direction. The solution marmot suggested works fine, but in this specific case the cube sizes are to small. It says 0,00192pt in x and 0,00272pt in y direction. Right now I am calculating the cube size by hand. I take the values given by marmot and multiply them with my range and then divide them with my classes. For x direction: 0,00192pt*65000/64=1,95pt and for y: 0,00272pt*65000/64=2,7625pt. (Result in second image)
    How can I adapt this to the code?



    enter image description here



    enter image description here










    share|improve this question



























      3












      3








      3








      I have found the answer from @marmot in the following post, which looks very nice and doesn't need any external programs. But I have some problem to adjust the z axis to my data.



      3-dimensional histogram in pgfplots



      In this example the z values of my data are not between 0 and 100, but between 0 and 1000.
      I don't get the part where it says "here one has to cheat". What do I need to adjust for z values not between 0 and 100?



      documentclass[tikz,border=3.14pt]{standalone}
      usepackage{pgfplots}
      usepackage{pgfplotstable}
      pgfplotsset{compat=1.15}
      begin{document}
      pgfplotstableread[col sep=comma,header=true]{%
      x,y,color,myvalue
      2,3,1,1000
      4,3,2,30
      2,7,3,0.75
      7,7,4,450
      8,5,2,300
      2,5,1,100
      4,-4,2,1
      4,1,3,750
      5,-1,4,4
      5,2,2,300
      1,-2,1,100
      2,5,2,5
      3,-8,3,750
      4,5,4,420
      7,-2,2,200
      }{datatable}
      %
      pgfplotstablesort[col sep=comma,header=true]resulttable{datatable}
      begin{tikzpicture}%[x={(0.866cm,-0.5cm)},y={(0.866cm,0.5cm)},z={(0cm,1 cm)}]
      pgfplotsset{set layers}
      begin{axis}[% from section 4.6.4 of the pgfplotsmanual
      view={120}{40},
      width=320pt,
      height=280pt,
      z buffer=none,
      xmin=-1,xmax=8,
      ymin=-10,ymax=8,
      zmin=0,zmax=1000,
      enlargelimits=upper,
      ztick={0,500,1000},
      zticklabels={0,500,1000}, % here one has to "cheat"
      xtick=data,
      extra tick style={grid=major},
      ytick=data,
      grid=minor,
      xlabel={$x$},
      ylabel={$y$},
      zlabel={$z$},
      minor tick num=1,
      point meta=explicit,
      colormap name=viridis,
      scatter/use mapped color={
      draw=mapped color,fill=mapped color!70},
      ]
      addplot3 [visualization depends on={z as myz},
      scatter/@pre marker code/.append style={/pgfplots/cube/size z=myz},%
      scatter,only marks,
      mark=cube*,mark size=5]
      table[x expr={thisrow{x}},y expr={thisrow{y}},z
      expr={thisrow{myvalue}},
      meta expr={thisrow{color}}
      ] resulttable;
      end{axis}
      end{tikzpicture}
      end{document}


      Result:



      enter image description here



      EDIT:
      Now after Marmot presented a really nice solution for plotting a 3d histogram, I am asking if it's possible to make it even more automatic, by also computing the depth and width of the bars?



      ADDITION:
      I have some data sets with a very high range in x and y. When I change the cube size like suggested in x and y direction I get very small bars (see first image below). My data is a classification, where the range is split up in 64 or 100 classes. So one bar needs to be as big as the range divided by 64 or 100 in x and y direction. The solution marmot suggested works fine, but in this specific case the cube sizes are to small. It says 0,00192pt in x and 0,00272pt in y direction. Right now I am calculating the cube size by hand. I take the values given by marmot and multiply them with my range and then divide them with my classes. For x direction: 0,00192pt*65000/64=1,95pt and for y: 0,00272pt*65000/64=2,7625pt. (Result in second image)
      How can I adapt this to the code?



      enter image description here



      enter image description here










      share|improve this question
















      I have found the answer from @marmot in the following post, which looks very nice and doesn't need any external programs. But I have some problem to adjust the z axis to my data.



      3-dimensional histogram in pgfplots



      In this example the z values of my data are not between 0 and 100, but between 0 and 1000.
      I don't get the part where it says "here one has to cheat". What do I need to adjust for z values not between 0 and 100?



      documentclass[tikz,border=3.14pt]{standalone}
      usepackage{pgfplots}
      usepackage{pgfplotstable}
      pgfplotsset{compat=1.15}
      begin{document}
      pgfplotstableread[col sep=comma,header=true]{%
      x,y,color,myvalue
      2,3,1,1000
      4,3,2,30
      2,7,3,0.75
      7,7,4,450
      8,5,2,300
      2,5,1,100
      4,-4,2,1
      4,1,3,750
      5,-1,4,4
      5,2,2,300
      1,-2,1,100
      2,5,2,5
      3,-8,3,750
      4,5,4,420
      7,-2,2,200
      }{datatable}
      %
      pgfplotstablesort[col sep=comma,header=true]resulttable{datatable}
      begin{tikzpicture}%[x={(0.866cm,-0.5cm)},y={(0.866cm,0.5cm)},z={(0cm,1 cm)}]
      pgfplotsset{set layers}
      begin{axis}[% from section 4.6.4 of the pgfplotsmanual
      view={120}{40},
      width=320pt,
      height=280pt,
      z buffer=none,
      xmin=-1,xmax=8,
      ymin=-10,ymax=8,
      zmin=0,zmax=1000,
      enlargelimits=upper,
      ztick={0,500,1000},
      zticklabels={0,500,1000}, % here one has to "cheat"
      xtick=data,
      extra tick style={grid=major},
      ytick=data,
      grid=minor,
      xlabel={$x$},
      ylabel={$y$},
      zlabel={$z$},
      minor tick num=1,
      point meta=explicit,
      colormap name=viridis,
      scatter/use mapped color={
      draw=mapped color,fill=mapped color!70},
      ]
      addplot3 [visualization depends on={z as myz},
      scatter/@pre marker code/.append style={/pgfplots/cube/size z=myz},%
      scatter,only marks,
      mark=cube*,mark size=5]
      table[x expr={thisrow{x}},y expr={thisrow{y}},z
      expr={thisrow{myvalue}},
      meta expr={thisrow{color}}
      ] resulttable;
      end{axis}
      end{tikzpicture}
      end{document}


      Result:



      enter image description here



      EDIT:
      Now after Marmot presented a really nice solution for plotting a 3d histogram, I am asking if it's possible to make it even more automatic, by also computing the depth and width of the bars?



      ADDITION:
      I have some data sets with a very high range in x and y. When I change the cube size like suggested in x and y direction I get very small bars (see first image below). My data is a classification, where the range is split up in 64 or 100 classes. So one bar needs to be as big as the range divided by 64 or 100 in x and y direction. The solution marmot suggested works fine, but in this specific case the cube sizes are to small. It says 0,00192pt in x and 0,00272pt in y direction. Right now I am calculating the cube size by hand. I take the values given by marmot and multiply them with my range and then divide them with my classes. For x direction: 0,00192pt*65000/64=1,95pt and for y: 0,00272pt*65000/64=2,7625pt. (Result in second image)
      How can I adapt this to the code?



      enter image description here



      enter image description here







      tikz-pgf pgfplots






      share|improve this question















      share|improve this question













      share|improve this question




      share|improve this question








      edited Jul 3 '18 at 7:31







      sporc

















      asked Jun 6 '18 at 8:04









      sporcsporc

      493214




      493214






















          1 Answer
          1






          active

          oldest

          votes


















          4














          You also need to adjust the height in that case. Note that you also draw some of the bars at the same x and y values. The current version of this trick doesn't support this. Before fixing this I would like to know if you really mean to draw them at the same x-y positions. UPDATE: I added an improved sort. Have a guess from whom I stole it. (Hint: his last name starts with "F" and ends with "euersänger";-) ANOTHER UPDATE: I made the thing more automatic. Due to the usual expansion issues, I could not make the conversion fully automatic, but now at least it will tell you what to put.



          documentclass[tikz,border=3.14pt]{standalone}
          usetikzlibrary{calc}
          usepackage{pgfplots}
          usepackage{pgfplotstable}
          pgfplotsset{compat=1.16}
          % from https://tex.stackexchange.com/a/102770/121799
          defpgfplotsinvokeiflessthan#1#2#3#4{%
          pgfkeysvalueof{/pgfplots/iflessthan/.@cmd}{#1}{#2}{#3}{#4}pgfeov
          }%
          defpgfplotsmulticmpthree#1#2#3#4#5#6do#7#8{%
          pgfplotsset{float <}%
          pgfplotsinvokeiflessthan{#1}{#4}{%
          % first key <:
          #7%
          }{%
          pgfplotsinvokeiflessthan{#4}{#1}{%
          % first key >:
          #8%
          }{%
          % first key ==:
          pgfplotsset{float <}%
          pgfplotsinvokeiflessthan{#2}{#5}{%
          % second key <
          #7%
          }{%
          pgfplotsinvokeiflessthan{#5}{#2}{%
          % second key >
          #8%
          }{%
          % second key ==
          pgfplotsset{float <}%
          pgfplotsinvokeiflessthan{#3}{#6}{%
          % third key <
          #7%
          }{%
          % third key >=
          #8%
          }%
          }%
          }%
          }%
          }%
          }%

          begin{document}
          pgfplotstableread[col sep=comma,header=true]{%
          x,y,color,myvalue
          2,3,1,1000
          4,3,2,30
          2,7,3,0.75
          7,7,4,450
          8,5,2,300
          2,5,1,100
          4,-4,2,1
          4,1,3,750
          5,-1,4,4
          5,2,2,300
          1,-2,1,100
          2,5,2,5
          3,-8,3,750
          4,5,4,420
          7,-2,2,200
          }{datatable}
          %
          %pgfplotstablesort[col sep=comma,header=true]resulttable{datatable}
          pgfplotstablesort[create on use/sortkey/.style={
          create col/assign/.code={%
          edefentry{{thisrow{x}}{thisrow{y}}{thisrow{myvalue}}}%
          pgfkeyslet{/pgfplots/table/create col/next content}entry
          }
          },
          sort key=sortkey,
          sort cmp={%
          iflessthan/.code args={#1#2#3#4}{%
          edeftemp{#1#2}%
          expandafterpgfplotsmulticmpthreetempdo{#3}{#4}%
          },
          },
          sort,
          columns/Mtx/.style={string type},
          columns/Kind/.style={string type},]resulttable{datatable}

          begin{tikzpicture}%[x={(0.866cm,-0.5cm)},y={(0.866cm,0.5cm)},z={(0cm,1 cm)}]
          pgfplotsset{set layers}
          begin{axis}[% from section 4.6.4 of the pgfplotsmanual
          view={120}{40},
          width=320pt,
          height=280pt,
          z buffer=none,
          xmin=-1,xmax=9,
          ymin=-10,ymax=8,
          zmin=0,zmax=2000,
          enlargelimits=upper,
          ztick={0,1000,2000},
          zticklabels={0,500,1000}, % here one has to "cheat"
          % meaning that one has to put labels which are the actual value
          % divided by 2. This is because the bars will be centered at these
          % values
          xtick=data,
          extra tick style={grid=major},
          ytick=data,
          grid=minor,
          xlabel={$x$},
          ylabel={$y$},
          zlabel={$z$},
          minor tick num=1,
          point meta=explicit,
          colormap name=viridis,
          scatter/use mapped color={
          draw=mapped color,fill=mapped color!70},
          execute at begin plot={}
          ]
          path let p1=($(axis cs:0,0,1)-(axis cs:0,0,0)$) in
          pgfextra{pgfmathsetmacro{conv}{2*y1}
          typeout{Kindlyspacespace considerspace settingspace thespace
          prefactorspace ofspace zspace tospace conv}};
          addplot3 [visualization depends on={
          0.09952*z as myz}, % you'll get told how to adjust the prefactor
          scatter/@pre marker code/.append style={/pgfplots/cube/size z=myz},%
          scatter,only marks,
          mark=cube*,mark size=5,opacity=1]
          table[x expr={thisrow{x}},y expr={thisrow{y}},z
          expr={1*thisrow{myvalue}},
          meta expr={thisrow{color}}
          ] resulttable;
          end{axis}
          end{tikzpicture}
          end{document}


          enter image description here



          ADDENDUM: In this version, the dimension for "full size" bars are computed, i.e. the x and y dimensions to make the bar fill out one unit in each direction. It also checks if the user already has put the correct z scale. It computes the correct scale factor, and asks you to recompile if necessary.



          documentclass[tikz,border=3.14pt]{standalone}
          usetikzlibrary{calc}
          usepackage{pgfplots}
          usepackage{pgfplotstable}
          pgfplotsset{compat=1.16}
          % from https://tex.stackexchange.com/a/102770/121799
          defpgfplotsinvokeiflessthan#1#2#3#4{%
          pgfkeysvalueof{/pgfplots/iflessthan/.@cmd}{#1}{#2}{#3}{#4}pgfeov
          }%
          defpgfplotsmulticmpthree#1#2#3#4#5#6do#7#8{%
          pgfplotsset{float <}%
          pgfplotsinvokeiflessthan{#1}{#4}{%
          % first key <:
          #7%
          }{%
          pgfplotsinvokeiflessthan{#4}{#1}{%
          % first key >:
          #8%
          }{%
          % first key ==:
          pgfplotsset{float <}%
          pgfplotsinvokeiflessthan{#2}{#5}{%
          % second key <
          #7%
          }{%
          pgfplotsinvokeiflessthan{#5}{#2}{%
          % second key >
          #8%
          }{%
          % second key ==
          pgfplotsset{float <}%
          pgfplotsinvokeiflessthan{#3}{#6}{%
          % third key <
          #7%
          }{%
          % third key >=
          #8%
          }%
          }%
          }%
          }%
          }%
          }%

          begin{document}
          ifdefinedgconv
          else
          pgfmathsetmacro{gconv}{0.1}
          fi
          pgfplotstableread[col sep=comma,header=true]{%
          x,y,color,myvalue
          2,3,1,1000
          4,3,2,30
          2,7,3,0.75
          7,7,4,450
          8,5,2,300
          2,5,1,100
          4,-4,2,1
          4,1,3,750
          5,-1,4,4
          5,2,2,300
          1,-2,1,100
          2,5,2,5
          3,-8,3,750
          4,5,4,420
          7,-2,2,200
          }{datatable}
          %
          %pgfplotstablesort[col sep=comma,header=true]resulttable{datatable}
          pgfplotstablesort[create on use/sortkey/.style={
          create col/assign/.code={%
          edefentry{{thisrow{x}}{thisrow{y}}{thisrow{myvalue}}}%
          pgfkeyslet{/pgfplots/table/create col/next content}entry
          }
          },
          sort key=sortkey,
          sort cmp={%
          iflessthan/.code args={#1#2#3#4}{%
          edeftemp{#1#2}%
          expandafterpgfplotsmulticmpthreetempdo{#3}{#4}%
          },
          },
          sort,
          columns/Mtx/.style={string type},
          columns/Kind/.style={string type},]resulttable{datatable}

          begin{tikzpicture}%[x={(0.866cm,-0.5cm)},y={(0.866cm,0.5cm)},z={(0cm,1 cm)}]
          pgfplotsset{set layers}
          begin{axis}[% from section 4.6.4 of the pgfplotsmanual
          view={120}{40},
          width=320pt,
          height=280pt,
          z buffer=none,
          xmin=-1,xmax=9,
          ymin=-10,ymax=8,
          zmin=0,zmax=2000,
          enlargelimits=upper,
          ztick={0,1000,2000},
          zticklabels={0,500,1000}, % here one has to "cheat"
          % meaning that one has to put labels which are the actual value
          % divided by 2. This is because the bars will be centered at these
          % values
          xtick=data,
          extra tick style={grid=major},
          ytick=data,
          grid=minor,
          xlabel={$x$},
          ylabel={$y$},
          zlabel={$z$},
          minor tick num=1,
          point meta=explicit,
          colormap name=viridis,
          scatter/use mapped color={
          draw=mapped color,fill=mapped color!70},
          execute at begin plot={}
          ]
          path let p1=($(axis cs:0,0,1)-(axis cs:0,0,0)$) in
          pgfextra{pgfmathsetmacro{conv}{2*y1}
          ifxgconvconv
          else
          xdefgconv{conv}
          typeout{Pleasespace recompilespace thespace file!}
          fi
          };
          path let p1=($(axis cs:1,0,0)-(axis cs:0,0,0)$) in
          pgfextra{pgfmathsetmacro{convx}{veclen(x1,y1)}
          typeout{Onespace unitspace inspace xspace
          directionspace isspaceconvx pt}
          };
          path let p1=($(axis cs:0,1,0)-(axis cs:0,0,0)$) in
          pgfextra{pgfmathsetmacro{convy}{veclen(x1,y1)}
          typeout{Onespace unitspace inspace yspace
          directionspace isspaceconvy pt}
          };
          addplot3 [visualization depends on={
          gconv*z as myz}, % you may have to recompile to get the prefactor right
          scatter/@pre marker code/.append style={/pgfplots/cube/size z=myz},%
          scatter/@pre marker code/.append style={/pgfplots/cube/size x=11.66135pt},%
          scatter/@pre marker code/.append style={/pgfplots/cube/size y=9.10493pt},%
          scatter,only marks,
          mark=cube*,mark size=5,opacity=1]
          table[x expr={thisrow{x}},y expr={thisrow{y}},z
          expr={1*thisrow{myvalue}},
          meta expr={thisrow{color}}
          ] resulttable;
          end{axis}
          makeatletter
          immediatewrite@mainaux{xdefstringgconv{gconv}relax}
          makeatother

          end{tikzpicture}
          end{document}


          enter image description here






          share|improve this answer


























          • I really appreciate your efforts. Thank you! When you change the angle of the view, for example to view={50}{70} something get's messed up with the sorting, the bars are overlapping, the same happens when you set x dir=reversed. Maybe there is a solution for it by changing the sorting algorithm. One little addition: You could add "pt" at the end of the typeout for the depth and width.

            – sporc
            Jun 12 '18 at 7:35











          • @sporc Yes, of course, if you change the view, it won't work any more. And I am doing the sort independently of the view. At this point, I don't see any easy way to fix that. But thanks for the remark on pt, I'll change this right away.

            – marmot
            Jun 12 '18 at 14:45











          • Could you please explain how you calculate the x and y dimensions. As far as I understand you take the length from (1,0,0) to (0,0,0) for x and divide it by xmax? I am asking beacuase I want to adjust the code so that it takes the length (1,0,0) to (0,0,0) and divides it by a fix value, like 100. So that 100 bars would fit along the axis

            – sporc
            Jun 28 '18 at 11:22











          • @sporc Yes, that's precisely how I compute it.

            – marmot
            Jun 28 '18 at 14:18











          • I can't see where you divide. Isn't this just the length?pgfextra{pgfmathsetmacro{convy}{veclen(x1,y1)}

            – sporc
            Jun 29 '18 at 6:44












          Your Answer








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          You also need to adjust the height in that case. Note that you also draw some of the bars at the same x and y values. The current version of this trick doesn't support this. Before fixing this I would like to know if you really mean to draw them at the same x-y positions. UPDATE: I added an improved sort. Have a guess from whom I stole it. (Hint: his last name starts with "F" and ends with "euersänger";-) ANOTHER UPDATE: I made the thing more automatic. Due to the usual expansion issues, I could not make the conversion fully automatic, but now at least it will tell you what to put.



          documentclass[tikz,border=3.14pt]{standalone}
          usetikzlibrary{calc}
          usepackage{pgfplots}
          usepackage{pgfplotstable}
          pgfplotsset{compat=1.16}
          % from https://tex.stackexchange.com/a/102770/121799
          defpgfplotsinvokeiflessthan#1#2#3#4{%
          pgfkeysvalueof{/pgfplots/iflessthan/.@cmd}{#1}{#2}{#3}{#4}pgfeov
          }%
          defpgfplotsmulticmpthree#1#2#3#4#5#6do#7#8{%
          pgfplotsset{float <}%
          pgfplotsinvokeiflessthan{#1}{#4}{%
          % first key <:
          #7%
          }{%
          pgfplotsinvokeiflessthan{#4}{#1}{%
          % first key >:
          #8%
          }{%
          % first key ==:
          pgfplotsset{float <}%
          pgfplotsinvokeiflessthan{#2}{#5}{%
          % second key <
          #7%
          }{%
          pgfplotsinvokeiflessthan{#5}{#2}{%
          % second key >
          #8%
          }{%
          % second key ==
          pgfplotsset{float <}%
          pgfplotsinvokeiflessthan{#3}{#6}{%
          % third key <
          #7%
          }{%
          % third key >=
          #8%
          }%
          }%
          }%
          }%
          }%
          }%

          begin{document}
          pgfplotstableread[col sep=comma,header=true]{%
          x,y,color,myvalue
          2,3,1,1000
          4,3,2,30
          2,7,3,0.75
          7,7,4,450
          8,5,2,300
          2,5,1,100
          4,-4,2,1
          4,1,3,750
          5,-1,4,4
          5,2,2,300
          1,-2,1,100
          2,5,2,5
          3,-8,3,750
          4,5,4,420
          7,-2,2,200
          }{datatable}
          %
          %pgfplotstablesort[col sep=comma,header=true]resulttable{datatable}
          pgfplotstablesort[create on use/sortkey/.style={
          create col/assign/.code={%
          edefentry{{thisrow{x}}{thisrow{y}}{thisrow{myvalue}}}%
          pgfkeyslet{/pgfplots/table/create col/next content}entry
          }
          },
          sort key=sortkey,
          sort cmp={%
          iflessthan/.code args={#1#2#3#4}{%
          edeftemp{#1#2}%
          expandafterpgfplotsmulticmpthreetempdo{#3}{#4}%
          },
          },
          sort,
          columns/Mtx/.style={string type},
          columns/Kind/.style={string type},]resulttable{datatable}

          begin{tikzpicture}%[x={(0.866cm,-0.5cm)},y={(0.866cm,0.5cm)},z={(0cm,1 cm)}]
          pgfplotsset{set layers}
          begin{axis}[% from section 4.6.4 of the pgfplotsmanual
          view={120}{40},
          width=320pt,
          height=280pt,
          z buffer=none,
          xmin=-1,xmax=9,
          ymin=-10,ymax=8,
          zmin=0,zmax=2000,
          enlargelimits=upper,
          ztick={0,1000,2000},
          zticklabels={0,500,1000}, % here one has to "cheat"
          % meaning that one has to put labels which are the actual value
          % divided by 2. This is because the bars will be centered at these
          % values
          xtick=data,
          extra tick style={grid=major},
          ytick=data,
          grid=minor,
          xlabel={$x$},
          ylabel={$y$},
          zlabel={$z$},
          minor tick num=1,
          point meta=explicit,
          colormap name=viridis,
          scatter/use mapped color={
          draw=mapped color,fill=mapped color!70},
          execute at begin plot={}
          ]
          path let p1=($(axis cs:0,0,1)-(axis cs:0,0,0)$) in
          pgfextra{pgfmathsetmacro{conv}{2*y1}
          typeout{Kindlyspacespace considerspace settingspace thespace
          prefactorspace ofspace zspace tospace conv}};
          addplot3 [visualization depends on={
          0.09952*z as myz}, % you'll get told how to adjust the prefactor
          scatter/@pre marker code/.append style={/pgfplots/cube/size z=myz},%
          scatter,only marks,
          mark=cube*,mark size=5,opacity=1]
          table[x expr={thisrow{x}},y expr={thisrow{y}},z
          expr={1*thisrow{myvalue}},
          meta expr={thisrow{color}}
          ] resulttable;
          end{axis}
          end{tikzpicture}
          end{document}


          enter image description here



          ADDENDUM: In this version, the dimension for "full size" bars are computed, i.e. the x and y dimensions to make the bar fill out one unit in each direction. It also checks if the user already has put the correct z scale. It computes the correct scale factor, and asks you to recompile if necessary.



          documentclass[tikz,border=3.14pt]{standalone}
          usetikzlibrary{calc}
          usepackage{pgfplots}
          usepackage{pgfplotstable}
          pgfplotsset{compat=1.16}
          % from https://tex.stackexchange.com/a/102770/121799
          defpgfplotsinvokeiflessthan#1#2#3#4{%
          pgfkeysvalueof{/pgfplots/iflessthan/.@cmd}{#1}{#2}{#3}{#4}pgfeov
          }%
          defpgfplotsmulticmpthree#1#2#3#4#5#6do#7#8{%
          pgfplotsset{float <}%
          pgfplotsinvokeiflessthan{#1}{#4}{%
          % first key <:
          #7%
          }{%
          pgfplotsinvokeiflessthan{#4}{#1}{%
          % first key >:
          #8%
          }{%
          % first key ==:
          pgfplotsset{float <}%
          pgfplotsinvokeiflessthan{#2}{#5}{%
          % second key <
          #7%
          }{%
          pgfplotsinvokeiflessthan{#5}{#2}{%
          % second key >
          #8%
          }{%
          % second key ==
          pgfplotsset{float <}%
          pgfplotsinvokeiflessthan{#3}{#6}{%
          % third key <
          #7%
          }{%
          % third key >=
          #8%
          }%
          }%
          }%
          }%
          }%
          }%

          begin{document}
          ifdefinedgconv
          else
          pgfmathsetmacro{gconv}{0.1}
          fi
          pgfplotstableread[col sep=comma,header=true]{%
          x,y,color,myvalue
          2,3,1,1000
          4,3,2,30
          2,7,3,0.75
          7,7,4,450
          8,5,2,300
          2,5,1,100
          4,-4,2,1
          4,1,3,750
          5,-1,4,4
          5,2,2,300
          1,-2,1,100
          2,5,2,5
          3,-8,3,750
          4,5,4,420
          7,-2,2,200
          }{datatable}
          %
          %pgfplotstablesort[col sep=comma,header=true]resulttable{datatable}
          pgfplotstablesort[create on use/sortkey/.style={
          create col/assign/.code={%
          edefentry{{thisrow{x}}{thisrow{y}}{thisrow{myvalue}}}%
          pgfkeyslet{/pgfplots/table/create col/next content}entry
          }
          },
          sort key=sortkey,
          sort cmp={%
          iflessthan/.code args={#1#2#3#4}{%
          edeftemp{#1#2}%
          expandafterpgfplotsmulticmpthreetempdo{#3}{#4}%
          },
          },
          sort,
          columns/Mtx/.style={string type},
          columns/Kind/.style={string type},]resulttable{datatable}

          begin{tikzpicture}%[x={(0.866cm,-0.5cm)},y={(0.866cm,0.5cm)},z={(0cm,1 cm)}]
          pgfplotsset{set layers}
          begin{axis}[% from section 4.6.4 of the pgfplotsmanual
          view={120}{40},
          width=320pt,
          height=280pt,
          z buffer=none,
          xmin=-1,xmax=9,
          ymin=-10,ymax=8,
          zmin=0,zmax=2000,
          enlargelimits=upper,
          ztick={0,1000,2000},
          zticklabels={0,500,1000}, % here one has to "cheat"
          % meaning that one has to put labels which are the actual value
          % divided by 2. This is because the bars will be centered at these
          % values
          xtick=data,
          extra tick style={grid=major},
          ytick=data,
          grid=minor,
          xlabel={$x$},
          ylabel={$y$},
          zlabel={$z$},
          minor tick num=1,
          point meta=explicit,
          colormap name=viridis,
          scatter/use mapped color={
          draw=mapped color,fill=mapped color!70},
          execute at begin plot={}
          ]
          path let p1=($(axis cs:0,0,1)-(axis cs:0,0,0)$) in
          pgfextra{pgfmathsetmacro{conv}{2*y1}
          ifxgconvconv
          else
          xdefgconv{conv}
          typeout{Pleasespace recompilespace thespace file!}
          fi
          };
          path let p1=($(axis cs:1,0,0)-(axis cs:0,0,0)$) in
          pgfextra{pgfmathsetmacro{convx}{veclen(x1,y1)}
          typeout{Onespace unitspace inspace xspace
          directionspace isspaceconvx pt}
          };
          path let p1=($(axis cs:0,1,0)-(axis cs:0,0,0)$) in
          pgfextra{pgfmathsetmacro{convy}{veclen(x1,y1)}
          typeout{Onespace unitspace inspace yspace
          directionspace isspaceconvy pt}
          };
          addplot3 [visualization depends on={
          gconv*z as myz}, % you may have to recompile to get the prefactor right
          scatter/@pre marker code/.append style={/pgfplots/cube/size z=myz},%
          scatter/@pre marker code/.append style={/pgfplots/cube/size x=11.66135pt},%
          scatter/@pre marker code/.append style={/pgfplots/cube/size y=9.10493pt},%
          scatter,only marks,
          mark=cube*,mark size=5,opacity=1]
          table[x expr={thisrow{x}},y expr={thisrow{y}},z
          expr={1*thisrow{myvalue}},
          meta expr={thisrow{color}}
          ] resulttable;
          end{axis}
          makeatletter
          immediatewrite@mainaux{xdefstringgconv{gconv}relax}
          makeatother

          end{tikzpicture}
          end{document}


          enter image description here






          share|improve this answer


























          • I really appreciate your efforts. Thank you! When you change the angle of the view, for example to view={50}{70} something get's messed up with the sorting, the bars are overlapping, the same happens when you set x dir=reversed. Maybe there is a solution for it by changing the sorting algorithm. One little addition: You could add "pt" at the end of the typeout for the depth and width.

            – sporc
            Jun 12 '18 at 7:35











          • @sporc Yes, of course, if you change the view, it won't work any more. And I am doing the sort independently of the view. At this point, I don't see any easy way to fix that. But thanks for the remark on pt, I'll change this right away.

            – marmot
            Jun 12 '18 at 14:45











          • Could you please explain how you calculate the x and y dimensions. As far as I understand you take the length from (1,0,0) to (0,0,0) for x and divide it by xmax? I am asking beacuase I want to adjust the code so that it takes the length (1,0,0) to (0,0,0) and divides it by a fix value, like 100. So that 100 bars would fit along the axis

            – sporc
            Jun 28 '18 at 11:22











          • @sporc Yes, that's precisely how I compute it.

            – marmot
            Jun 28 '18 at 14:18











          • I can't see where you divide. Isn't this just the length?pgfextra{pgfmathsetmacro{convy}{veclen(x1,y1)}

            – sporc
            Jun 29 '18 at 6:44
















          4














          You also need to adjust the height in that case. Note that you also draw some of the bars at the same x and y values. The current version of this trick doesn't support this. Before fixing this I would like to know if you really mean to draw them at the same x-y positions. UPDATE: I added an improved sort. Have a guess from whom I stole it. (Hint: his last name starts with "F" and ends with "euersänger";-) ANOTHER UPDATE: I made the thing more automatic. Due to the usual expansion issues, I could not make the conversion fully automatic, but now at least it will tell you what to put.



          documentclass[tikz,border=3.14pt]{standalone}
          usetikzlibrary{calc}
          usepackage{pgfplots}
          usepackage{pgfplotstable}
          pgfplotsset{compat=1.16}
          % from https://tex.stackexchange.com/a/102770/121799
          defpgfplotsinvokeiflessthan#1#2#3#4{%
          pgfkeysvalueof{/pgfplots/iflessthan/.@cmd}{#1}{#2}{#3}{#4}pgfeov
          }%
          defpgfplotsmulticmpthree#1#2#3#4#5#6do#7#8{%
          pgfplotsset{float <}%
          pgfplotsinvokeiflessthan{#1}{#4}{%
          % first key <:
          #7%
          }{%
          pgfplotsinvokeiflessthan{#4}{#1}{%
          % first key >:
          #8%
          }{%
          % first key ==:
          pgfplotsset{float <}%
          pgfplotsinvokeiflessthan{#2}{#5}{%
          % second key <
          #7%
          }{%
          pgfplotsinvokeiflessthan{#5}{#2}{%
          % second key >
          #8%
          }{%
          % second key ==
          pgfplotsset{float <}%
          pgfplotsinvokeiflessthan{#3}{#6}{%
          % third key <
          #7%
          }{%
          % third key >=
          #8%
          }%
          }%
          }%
          }%
          }%
          }%

          begin{document}
          pgfplotstableread[col sep=comma,header=true]{%
          x,y,color,myvalue
          2,3,1,1000
          4,3,2,30
          2,7,3,0.75
          7,7,4,450
          8,5,2,300
          2,5,1,100
          4,-4,2,1
          4,1,3,750
          5,-1,4,4
          5,2,2,300
          1,-2,1,100
          2,5,2,5
          3,-8,3,750
          4,5,4,420
          7,-2,2,200
          }{datatable}
          %
          %pgfplotstablesort[col sep=comma,header=true]resulttable{datatable}
          pgfplotstablesort[create on use/sortkey/.style={
          create col/assign/.code={%
          edefentry{{thisrow{x}}{thisrow{y}}{thisrow{myvalue}}}%
          pgfkeyslet{/pgfplots/table/create col/next content}entry
          }
          },
          sort key=sortkey,
          sort cmp={%
          iflessthan/.code args={#1#2#3#4}{%
          edeftemp{#1#2}%
          expandafterpgfplotsmulticmpthreetempdo{#3}{#4}%
          },
          },
          sort,
          columns/Mtx/.style={string type},
          columns/Kind/.style={string type},]resulttable{datatable}

          begin{tikzpicture}%[x={(0.866cm,-0.5cm)},y={(0.866cm,0.5cm)},z={(0cm,1 cm)}]
          pgfplotsset{set layers}
          begin{axis}[% from section 4.6.4 of the pgfplotsmanual
          view={120}{40},
          width=320pt,
          height=280pt,
          z buffer=none,
          xmin=-1,xmax=9,
          ymin=-10,ymax=8,
          zmin=0,zmax=2000,
          enlargelimits=upper,
          ztick={0,1000,2000},
          zticklabels={0,500,1000}, % here one has to "cheat"
          % meaning that one has to put labels which are the actual value
          % divided by 2. This is because the bars will be centered at these
          % values
          xtick=data,
          extra tick style={grid=major},
          ytick=data,
          grid=minor,
          xlabel={$x$},
          ylabel={$y$},
          zlabel={$z$},
          minor tick num=1,
          point meta=explicit,
          colormap name=viridis,
          scatter/use mapped color={
          draw=mapped color,fill=mapped color!70},
          execute at begin plot={}
          ]
          path let p1=($(axis cs:0,0,1)-(axis cs:0,0,0)$) in
          pgfextra{pgfmathsetmacro{conv}{2*y1}
          typeout{Kindlyspacespace considerspace settingspace thespace
          prefactorspace ofspace zspace tospace conv}};
          addplot3 [visualization depends on={
          0.09952*z as myz}, % you'll get told how to adjust the prefactor
          scatter/@pre marker code/.append style={/pgfplots/cube/size z=myz},%
          scatter,only marks,
          mark=cube*,mark size=5,opacity=1]
          table[x expr={thisrow{x}},y expr={thisrow{y}},z
          expr={1*thisrow{myvalue}},
          meta expr={thisrow{color}}
          ] resulttable;
          end{axis}
          end{tikzpicture}
          end{document}


          enter image description here



          ADDENDUM: In this version, the dimension for "full size" bars are computed, i.e. the x and y dimensions to make the bar fill out one unit in each direction. It also checks if the user already has put the correct z scale. It computes the correct scale factor, and asks you to recompile if necessary.



          documentclass[tikz,border=3.14pt]{standalone}
          usetikzlibrary{calc}
          usepackage{pgfplots}
          usepackage{pgfplotstable}
          pgfplotsset{compat=1.16}
          % from https://tex.stackexchange.com/a/102770/121799
          defpgfplotsinvokeiflessthan#1#2#3#4{%
          pgfkeysvalueof{/pgfplots/iflessthan/.@cmd}{#1}{#2}{#3}{#4}pgfeov
          }%
          defpgfplotsmulticmpthree#1#2#3#4#5#6do#7#8{%
          pgfplotsset{float <}%
          pgfplotsinvokeiflessthan{#1}{#4}{%
          % first key <:
          #7%
          }{%
          pgfplotsinvokeiflessthan{#4}{#1}{%
          % first key >:
          #8%
          }{%
          % first key ==:
          pgfplotsset{float <}%
          pgfplotsinvokeiflessthan{#2}{#5}{%
          % second key <
          #7%
          }{%
          pgfplotsinvokeiflessthan{#5}{#2}{%
          % second key >
          #8%
          }{%
          % second key ==
          pgfplotsset{float <}%
          pgfplotsinvokeiflessthan{#3}{#6}{%
          % third key <
          #7%
          }{%
          % third key >=
          #8%
          }%
          }%
          }%
          }%
          }%
          }%

          begin{document}
          ifdefinedgconv
          else
          pgfmathsetmacro{gconv}{0.1}
          fi
          pgfplotstableread[col sep=comma,header=true]{%
          x,y,color,myvalue
          2,3,1,1000
          4,3,2,30
          2,7,3,0.75
          7,7,4,450
          8,5,2,300
          2,5,1,100
          4,-4,2,1
          4,1,3,750
          5,-1,4,4
          5,2,2,300
          1,-2,1,100
          2,5,2,5
          3,-8,3,750
          4,5,4,420
          7,-2,2,200
          }{datatable}
          %
          %pgfplotstablesort[col sep=comma,header=true]resulttable{datatable}
          pgfplotstablesort[create on use/sortkey/.style={
          create col/assign/.code={%
          edefentry{{thisrow{x}}{thisrow{y}}{thisrow{myvalue}}}%
          pgfkeyslet{/pgfplots/table/create col/next content}entry
          }
          },
          sort key=sortkey,
          sort cmp={%
          iflessthan/.code args={#1#2#3#4}{%
          edeftemp{#1#2}%
          expandafterpgfplotsmulticmpthreetempdo{#3}{#4}%
          },
          },
          sort,
          columns/Mtx/.style={string type},
          columns/Kind/.style={string type},]resulttable{datatable}

          begin{tikzpicture}%[x={(0.866cm,-0.5cm)},y={(0.866cm,0.5cm)},z={(0cm,1 cm)}]
          pgfplotsset{set layers}
          begin{axis}[% from section 4.6.4 of the pgfplotsmanual
          view={120}{40},
          width=320pt,
          height=280pt,
          z buffer=none,
          xmin=-1,xmax=9,
          ymin=-10,ymax=8,
          zmin=0,zmax=2000,
          enlargelimits=upper,
          ztick={0,1000,2000},
          zticklabels={0,500,1000}, % here one has to "cheat"
          % meaning that one has to put labels which are the actual value
          % divided by 2. This is because the bars will be centered at these
          % values
          xtick=data,
          extra tick style={grid=major},
          ytick=data,
          grid=minor,
          xlabel={$x$},
          ylabel={$y$},
          zlabel={$z$},
          minor tick num=1,
          point meta=explicit,
          colormap name=viridis,
          scatter/use mapped color={
          draw=mapped color,fill=mapped color!70},
          execute at begin plot={}
          ]
          path let p1=($(axis cs:0,0,1)-(axis cs:0,0,0)$) in
          pgfextra{pgfmathsetmacro{conv}{2*y1}
          ifxgconvconv
          else
          xdefgconv{conv}
          typeout{Pleasespace recompilespace thespace file!}
          fi
          };
          path let p1=($(axis cs:1,0,0)-(axis cs:0,0,0)$) in
          pgfextra{pgfmathsetmacro{convx}{veclen(x1,y1)}
          typeout{Onespace unitspace inspace xspace
          directionspace isspaceconvx pt}
          };
          path let p1=($(axis cs:0,1,0)-(axis cs:0,0,0)$) in
          pgfextra{pgfmathsetmacro{convy}{veclen(x1,y1)}
          typeout{Onespace unitspace inspace yspace
          directionspace isspaceconvy pt}
          };
          addplot3 [visualization depends on={
          gconv*z as myz}, % you may have to recompile to get the prefactor right
          scatter/@pre marker code/.append style={/pgfplots/cube/size z=myz},%
          scatter/@pre marker code/.append style={/pgfplots/cube/size x=11.66135pt},%
          scatter/@pre marker code/.append style={/pgfplots/cube/size y=9.10493pt},%
          scatter,only marks,
          mark=cube*,mark size=5,opacity=1]
          table[x expr={thisrow{x}},y expr={thisrow{y}},z
          expr={1*thisrow{myvalue}},
          meta expr={thisrow{color}}
          ] resulttable;
          end{axis}
          makeatletter
          immediatewrite@mainaux{xdefstringgconv{gconv}relax}
          makeatother

          end{tikzpicture}
          end{document}


          enter image description here






          share|improve this answer


























          • I really appreciate your efforts. Thank you! When you change the angle of the view, for example to view={50}{70} something get's messed up with the sorting, the bars are overlapping, the same happens when you set x dir=reversed. Maybe there is a solution for it by changing the sorting algorithm. One little addition: You could add "pt" at the end of the typeout for the depth and width.

            – sporc
            Jun 12 '18 at 7:35











          • @sporc Yes, of course, if you change the view, it won't work any more. And I am doing the sort independently of the view. At this point, I don't see any easy way to fix that. But thanks for the remark on pt, I'll change this right away.

            – marmot
            Jun 12 '18 at 14:45











          • Could you please explain how you calculate the x and y dimensions. As far as I understand you take the length from (1,0,0) to (0,0,0) for x and divide it by xmax? I am asking beacuase I want to adjust the code so that it takes the length (1,0,0) to (0,0,0) and divides it by a fix value, like 100. So that 100 bars would fit along the axis

            – sporc
            Jun 28 '18 at 11:22











          • @sporc Yes, that's precisely how I compute it.

            – marmot
            Jun 28 '18 at 14:18











          • I can't see where you divide. Isn't this just the length?pgfextra{pgfmathsetmacro{convy}{veclen(x1,y1)}

            – sporc
            Jun 29 '18 at 6:44














          4












          4








          4







          You also need to adjust the height in that case. Note that you also draw some of the bars at the same x and y values. The current version of this trick doesn't support this. Before fixing this I would like to know if you really mean to draw them at the same x-y positions. UPDATE: I added an improved sort. Have a guess from whom I stole it. (Hint: his last name starts with "F" and ends with "euersänger";-) ANOTHER UPDATE: I made the thing more automatic. Due to the usual expansion issues, I could not make the conversion fully automatic, but now at least it will tell you what to put.



          documentclass[tikz,border=3.14pt]{standalone}
          usetikzlibrary{calc}
          usepackage{pgfplots}
          usepackage{pgfplotstable}
          pgfplotsset{compat=1.16}
          % from https://tex.stackexchange.com/a/102770/121799
          defpgfplotsinvokeiflessthan#1#2#3#4{%
          pgfkeysvalueof{/pgfplots/iflessthan/.@cmd}{#1}{#2}{#3}{#4}pgfeov
          }%
          defpgfplotsmulticmpthree#1#2#3#4#5#6do#7#8{%
          pgfplotsset{float <}%
          pgfplotsinvokeiflessthan{#1}{#4}{%
          % first key <:
          #7%
          }{%
          pgfplotsinvokeiflessthan{#4}{#1}{%
          % first key >:
          #8%
          }{%
          % first key ==:
          pgfplotsset{float <}%
          pgfplotsinvokeiflessthan{#2}{#5}{%
          % second key <
          #7%
          }{%
          pgfplotsinvokeiflessthan{#5}{#2}{%
          % second key >
          #8%
          }{%
          % second key ==
          pgfplotsset{float <}%
          pgfplotsinvokeiflessthan{#3}{#6}{%
          % third key <
          #7%
          }{%
          % third key >=
          #8%
          }%
          }%
          }%
          }%
          }%
          }%

          begin{document}
          pgfplotstableread[col sep=comma,header=true]{%
          x,y,color,myvalue
          2,3,1,1000
          4,3,2,30
          2,7,3,0.75
          7,7,4,450
          8,5,2,300
          2,5,1,100
          4,-4,2,1
          4,1,3,750
          5,-1,4,4
          5,2,2,300
          1,-2,1,100
          2,5,2,5
          3,-8,3,750
          4,5,4,420
          7,-2,2,200
          }{datatable}
          %
          %pgfplotstablesort[col sep=comma,header=true]resulttable{datatable}
          pgfplotstablesort[create on use/sortkey/.style={
          create col/assign/.code={%
          edefentry{{thisrow{x}}{thisrow{y}}{thisrow{myvalue}}}%
          pgfkeyslet{/pgfplots/table/create col/next content}entry
          }
          },
          sort key=sortkey,
          sort cmp={%
          iflessthan/.code args={#1#2#3#4}{%
          edeftemp{#1#2}%
          expandafterpgfplotsmulticmpthreetempdo{#3}{#4}%
          },
          },
          sort,
          columns/Mtx/.style={string type},
          columns/Kind/.style={string type},]resulttable{datatable}

          begin{tikzpicture}%[x={(0.866cm,-0.5cm)},y={(0.866cm,0.5cm)},z={(0cm,1 cm)}]
          pgfplotsset{set layers}
          begin{axis}[% from section 4.6.4 of the pgfplotsmanual
          view={120}{40},
          width=320pt,
          height=280pt,
          z buffer=none,
          xmin=-1,xmax=9,
          ymin=-10,ymax=8,
          zmin=0,zmax=2000,
          enlargelimits=upper,
          ztick={0,1000,2000},
          zticklabels={0,500,1000}, % here one has to "cheat"
          % meaning that one has to put labels which are the actual value
          % divided by 2. This is because the bars will be centered at these
          % values
          xtick=data,
          extra tick style={grid=major},
          ytick=data,
          grid=minor,
          xlabel={$x$},
          ylabel={$y$},
          zlabel={$z$},
          minor tick num=1,
          point meta=explicit,
          colormap name=viridis,
          scatter/use mapped color={
          draw=mapped color,fill=mapped color!70},
          execute at begin plot={}
          ]
          path let p1=($(axis cs:0,0,1)-(axis cs:0,0,0)$) in
          pgfextra{pgfmathsetmacro{conv}{2*y1}
          typeout{Kindlyspacespace considerspace settingspace thespace
          prefactorspace ofspace zspace tospace conv}};
          addplot3 [visualization depends on={
          0.09952*z as myz}, % you'll get told how to adjust the prefactor
          scatter/@pre marker code/.append style={/pgfplots/cube/size z=myz},%
          scatter,only marks,
          mark=cube*,mark size=5,opacity=1]
          table[x expr={thisrow{x}},y expr={thisrow{y}},z
          expr={1*thisrow{myvalue}},
          meta expr={thisrow{color}}
          ] resulttable;
          end{axis}
          end{tikzpicture}
          end{document}


          enter image description here



          ADDENDUM: In this version, the dimension for "full size" bars are computed, i.e. the x and y dimensions to make the bar fill out one unit in each direction. It also checks if the user already has put the correct z scale. It computes the correct scale factor, and asks you to recompile if necessary.



          documentclass[tikz,border=3.14pt]{standalone}
          usetikzlibrary{calc}
          usepackage{pgfplots}
          usepackage{pgfplotstable}
          pgfplotsset{compat=1.16}
          % from https://tex.stackexchange.com/a/102770/121799
          defpgfplotsinvokeiflessthan#1#2#3#4{%
          pgfkeysvalueof{/pgfplots/iflessthan/.@cmd}{#1}{#2}{#3}{#4}pgfeov
          }%
          defpgfplotsmulticmpthree#1#2#3#4#5#6do#7#8{%
          pgfplotsset{float <}%
          pgfplotsinvokeiflessthan{#1}{#4}{%
          % first key <:
          #7%
          }{%
          pgfplotsinvokeiflessthan{#4}{#1}{%
          % first key >:
          #8%
          }{%
          % first key ==:
          pgfplotsset{float <}%
          pgfplotsinvokeiflessthan{#2}{#5}{%
          % second key <
          #7%
          }{%
          pgfplotsinvokeiflessthan{#5}{#2}{%
          % second key >
          #8%
          }{%
          % second key ==
          pgfplotsset{float <}%
          pgfplotsinvokeiflessthan{#3}{#6}{%
          % third key <
          #7%
          }{%
          % third key >=
          #8%
          }%
          }%
          }%
          }%
          }%
          }%

          begin{document}
          ifdefinedgconv
          else
          pgfmathsetmacro{gconv}{0.1}
          fi
          pgfplotstableread[col sep=comma,header=true]{%
          x,y,color,myvalue
          2,3,1,1000
          4,3,2,30
          2,7,3,0.75
          7,7,4,450
          8,5,2,300
          2,5,1,100
          4,-4,2,1
          4,1,3,750
          5,-1,4,4
          5,2,2,300
          1,-2,1,100
          2,5,2,5
          3,-8,3,750
          4,5,4,420
          7,-2,2,200
          }{datatable}
          %
          %pgfplotstablesort[col sep=comma,header=true]resulttable{datatable}
          pgfplotstablesort[create on use/sortkey/.style={
          create col/assign/.code={%
          edefentry{{thisrow{x}}{thisrow{y}}{thisrow{myvalue}}}%
          pgfkeyslet{/pgfplots/table/create col/next content}entry
          }
          },
          sort key=sortkey,
          sort cmp={%
          iflessthan/.code args={#1#2#3#4}{%
          edeftemp{#1#2}%
          expandafterpgfplotsmulticmpthreetempdo{#3}{#4}%
          },
          },
          sort,
          columns/Mtx/.style={string type},
          columns/Kind/.style={string type},]resulttable{datatable}

          begin{tikzpicture}%[x={(0.866cm,-0.5cm)},y={(0.866cm,0.5cm)},z={(0cm,1 cm)}]
          pgfplotsset{set layers}
          begin{axis}[% from section 4.6.4 of the pgfplotsmanual
          view={120}{40},
          width=320pt,
          height=280pt,
          z buffer=none,
          xmin=-1,xmax=9,
          ymin=-10,ymax=8,
          zmin=0,zmax=2000,
          enlargelimits=upper,
          ztick={0,1000,2000},
          zticklabels={0,500,1000}, % here one has to "cheat"
          % meaning that one has to put labels which are the actual value
          % divided by 2. This is because the bars will be centered at these
          % values
          xtick=data,
          extra tick style={grid=major},
          ytick=data,
          grid=minor,
          xlabel={$x$},
          ylabel={$y$},
          zlabel={$z$},
          minor tick num=1,
          point meta=explicit,
          colormap name=viridis,
          scatter/use mapped color={
          draw=mapped color,fill=mapped color!70},
          execute at begin plot={}
          ]
          path let p1=($(axis cs:0,0,1)-(axis cs:0,0,0)$) in
          pgfextra{pgfmathsetmacro{conv}{2*y1}
          ifxgconvconv
          else
          xdefgconv{conv}
          typeout{Pleasespace recompilespace thespace file!}
          fi
          };
          path let p1=($(axis cs:1,0,0)-(axis cs:0,0,0)$) in
          pgfextra{pgfmathsetmacro{convx}{veclen(x1,y1)}
          typeout{Onespace unitspace inspace xspace
          directionspace isspaceconvx pt}
          };
          path let p1=($(axis cs:0,1,0)-(axis cs:0,0,0)$) in
          pgfextra{pgfmathsetmacro{convy}{veclen(x1,y1)}
          typeout{Onespace unitspace inspace yspace
          directionspace isspaceconvy pt}
          };
          addplot3 [visualization depends on={
          gconv*z as myz}, % you may have to recompile to get the prefactor right
          scatter/@pre marker code/.append style={/pgfplots/cube/size z=myz},%
          scatter/@pre marker code/.append style={/pgfplots/cube/size x=11.66135pt},%
          scatter/@pre marker code/.append style={/pgfplots/cube/size y=9.10493pt},%
          scatter,only marks,
          mark=cube*,mark size=5,opacity=1]
          table[x expr={thisrow{x}},y expr={thisrow{y}},z
          expr={1*thisrow{myvalue}},
          meta expr={thisrow{color}}
          ] resulttable;
          end{axis}
          makeatletter
          immediatewrite@mainaux{xdefstringgconv{gconv}relax}
          makeatother

          end{tikzpicture}
          end{document}


          enter image description here






          share|improve this answer















          You also need to adjust the height in that case. Note that you also draw some of the bars at the same x and y values. The current version of this trick doesn't support this. Before fixing this I would like to know if you really mean to draw them at the same x-y positions. UPDATE: I added an improved sort. Have a guess from whom I stole it. (Hint: his last name starts with "F" and ends with "euersänger";-) ANOTHER UPDATE: I made the thing more automatic. Due to the usual expansion issues, I could not make the conversion fully automatic, but now at least it will tell you what to put.



          documentclass[tikz,border=3.14pt]{standalone}
          usetikzlibrary{calc}
          usepackage{pgfplots}
          usepackage{pgfplotstable}
          pgfplotsset{compat=1.16}
          % from https://tex.stackexchange.com/a/102770/121799
          defpgfplotsinvokeiflessthan#1#2#3#4{%
          pgfkeysvalueof{/pgfplots/iflessthan/.@cmd}{#1}{#2}{#3}{#4}pgfeov
          }%
          defpgfplotsmulticmpthree#1#2#3#4#5#6do#7#8{%
          pgfplotsset{float <}%
          pgfplotsinvokeiflessthan{#1}{#4}{%
          % first key <:
          #7%
          }{%
          pgfplotsinvokeiflessthan{#4}{#1}{%
          % first key >:
          #8%
          }{%
          % first key ==:
          pgfplotsset{float <}%
          pgfplotsinvokeiflessthan{#2}{#5}{%
          % second key <
          #7%
          }{%
          pgfplotsinvokeiflessthan{#5}{#2}{%
          % second key >
          #8%
          }{%
          % second key ==
          pgfplotsset{float <}%
          pgfplotsinvokeiflessthan{#3}{#6}{%
          % third key <
          #7%
          }{%
          % third key >=
          #8%
          }%
          }%
          }%
          }%
          }%
          }%

          begin{document}
          pgfplotstableread[col sep=comma,header=true]{%
          x,y,color,myvalue
          2,3,1,1000
          4,3,2,30
          2,7,3,0.75
          7,7,4,450
          8,5,2,300
          2,5,1,100
          4,-4,2,1
          4,1,3,750
          5,-1,4,4
          5,2,2,300
          1,-2,1,100
          2,5,2,5
          3,-8,3,750
          4,5,4,420
          7,-2,2,200
          }{datatable}
          %
          %pgfplotstablesort[col sep=comma,header=true]resulttable{datatable}
          pgfplotstablesort[create on use/sortkey/.style={
          create col/assign/.code={%
          edefentry{{thisrow{x}}{thisrow{y}}{thisrow{myvalue}}}%
          pgfkeyslet{/pgfplots/table/create col/next content}entry
          }
          },
          sort key=sortkey,
          sort cmp={%
          iflessthan/.code args={#1#2#3#4}{%
          edeftemp{#1#2}%
          expandafterpgfplotsmulticmpthreetempdo{#3}{#4}%
          },
          },
          sort,
          columns/Mtx/.style={string type},
          columns/Kind/.style={string type},]resulttable{datatable}

          begin{tikzpicture}%[x={(0.866cm,-0.5cm)},y={(0.866cm,0.5cm)},z={(0cm,1 cm)}]
          pgfplotsset{set layers}
          begin{axis}[% from section 4.6.4 of the pgfplotsmanual
          view={120}{40},
          width=320pt,
          height=280pt,
          z buffer=none,
          xmin=-1,xmax=9,
          ymin=-10,ymax=8,
          zmin=0,zmax=2000,
          enlargelimits=upper,
          ztick={0,1000,2000},
          zticklabels={0,500,1000}, % here one has to "cheat"
          % meaning that one has to put labels which are the actual value
          % divided by 2. This is because the bars will be centered at these
          % values
          xtick=data,
          extra tick style={grid=major},
          ytick=data,
          grid=minor,
          xlabel={$x$},
          ylabel={$y$},
          zlabel={$z$},
          minor tick num=1,
          point meta=explicit,
          colormap name=viridis,
          scatter/use mapped color={
          draw=mapped color,fill=mapped color!70},
          execute at begin plot={}
          ]
          path let p1=($(axis cs:0,0,1)-(axis cs:0,0,0)$) in
          pgfextra{pgfmathsetmacro{conv}{2*y1}
          typeout{Kindlyspacespace considerspace settingspace thespace
          prefactorspace ofspace zspace tospace conv}};
          addplot3 [visualization depends on={
          0.09952*z as myz}, % you'll get told how to adjust the prefactor
          scatter/@pre marker code/.append style={/pgfplots/cube/size z=myz},%
          scatter,only marks,
          mark=cube*,mark size=5,opacity=1]
          table[x expr={thisrow{x}},y expr={thisrow{y}},z
          expr={1*thisrow{myvalue}},
          meta expr={thisrow{color}}
          ] resulttable;
          end{axis}
          end{tikzpicture}
          end{document}


          enter image description here



          ADDENDUM: In this version, the dimension for "full size" bars are computed, i.e. the x and y dimensions to make the bar fill out one unit in each direction. It also checks if the user already has put the correct z scale. It computes the correct scale factor, and asks you to recompile if necessary.



          documentclass[tikz,border=3.14pt]{standalone}
          usetikzlibrary{calc}
          usepackage{pgfplots}
          usepackage{pgfplotstable}
          pgfplotsset{compat=1.16}
          % from https://tex.stackexchange.com/a/102770/121799
          defpgfplotsinvokeiflessthan#1#2#3#4{%
          pgfkeysvalueof{/pgfplots/iflessthan/.@cmd}{#1}{#2}{#3}{#4}pgfeov
          }%
          defpgfplotsmulticmpthree#1#2#3#4#5#6do#7#8{%
          pgfplotsset{float <}%
          pgfplotsinvokeiflessthan{#1}{#4}{%
          % first key <:
          #7%
          }{%
          pgfplotsinvokeiflessthan{#4}{#1}{%
          % first key >:
          #8%
          }{%
          % first key ==:
          pgfplotsset{float <}%
          pgfplotsinvokeiflessthan{#2}{#5}{%
          % second key <
          #7%
          }{%
          pgfplotsinvokeiflessthan{#5}{#2}{%
          % second key >
          #8%
          }{%
          % second key ==
          pgfplotsset{float <}%
          pgfplotsinvokeiflessthan{#3}{#6}{%
          % third key <
          #7%
          }{%
          % third key >=
          #8%
          }%
          }%
          }%
          }%
          }%
          }%

          begin{document}
          ifdefinedgconv
          else
          pgfmathsetmacro{gconv}{0.1}
          fi
          pgfplotstableread[col sep=comma,header=true]{%
          x,y,color,myvalue
          2,3,1,1000
          4,3,2,30
          2,7,3,0.75
          7,7,4,450
          8,5,2,300
          2,5,1,100
          4,-4,2,1
          4,1,3,750
          5,-1,4,4
          5,2,2,300
          1,-2,1,100
          2,5,2,5
          3,-8,3,750
          4,5,4,420
          7,-2,2,200
          }{datatable}
          %
          %pgfplotstablesort[col sep=comma,header=true]resulttable{datatable}
          pgfplotstablesort[create on use/sortkey/.style={
          create col/assign/.code={%
          edefentry{{thisrow{x}}{thisrow{y}}{thisrow{myvalue}}}%
          pgfkeyslet{/pgfplots/table/create col/next content}entry
          }
          },
          sort key=sortkey,
          sort cmp={%
          iflessthan/.code args={#1#2#3#4}{%
          edeftemp{#1#2}%
          expandafterpgfplotsmulticmpthreetempdo{#3}{#4}%
          },
          },
          sort,
          columns/Mtx/.style={string type},
          columns/Kind/.style={string type},]resulttable{datatable}

          begin{tikzpicture}%[x={(0.866cm,-0.5cm)},y={(0.866cm,0.5cm)},z={(0cm,1 cm)}]
          pgfplotsset{set layers}
          begin{axis}[% from section 4.6.4 of the pgfplotsmanual
          view={120}{40},
          width=320pt,
          height=280pt,
          z buffer=none,
          xmin=-1,xmax=9,
          ymin=-10,ymax=8,
          zmin=0,zmax=2000,
          enlargelimits=upper,
          ztick={0,1000,2000},
          zticklabels={0,500,1000}, % here one has to "cheat"
          % meaning that one has to put labels which are the actual value
          % divided by 2. This is because the bars will be centered at these
          % values
          xtick=data,
          extra tick style={grid=major},
          ytick=data,
          grid=minor,
          xlabel={$x$},
          ylabel={$y$},
          zlabel={$z$},
          minor tick num=1,
          point meta=explicit,
          colormap name=viridis,
          scatter/use mapped color={
          draw=mapped color,fill=mapped color!70},
          execute at begin plot={}
          ]
          path let p1=($(axis cs:0,0,1)-(axis cs:0,0,0)$) in
          pgfextra{pgfmathsetmacro{conv}{2*y1}
          ifxgconvconv
          else
          xdefgconv{conv}
          typeout{Pleasespace recompilespace thespace file!}
          fi
          };
          path let p1=($(axis cs:1,0,0)-(axis cs:0,0,0)$) in
          pgfextra{pgfmathsetmacro{convx}{veclen(x1,y1)}
          typeout{Onespace unitspace inspace xspace
          directionspace isspaceconvx pt}
          };
          path let p1=($(axis cs:0,1,0)-(axis cs:0,0,0)$) in
          pgfextra{pgfmathsetmacro{convy}{veclen(x1,y1)}
          typeout{Onespace unitspace inspace yspace
          directionspace isspaceconvy pt}
          };
          addplot3 [visualization depends on={
          gconv*z as myz}, % you may have to recompile to get the prefactor right
          scatter/@pre marker code/.append style={/pgfplots/cube/size z=myz},%
          scatter/@pre marker code/.append style={/pgfplots/cube/size x=11.66135pt},%
          scatter/@pre marker code/.append style={/pgfplots/cube/size y=9.10493pt},%
          scatter,only marks,
          mark=cube*,mark size=5,opacity=1]
          table[x expr={thisrow{x}},y expr={thisrow{y}},z
          expr={1*thisrow{myvalue}},
          meta expr={thisrow{color}}
          ] resulttable;
          end{axis}
          makeatletter
          immediatewrite@mainaux{xdefstringgconv{gconv}relax}
          makeatother

          end{tikzpicture}
          end{document}


          enter image description here







          share|improve this answer














          share|improve this answer



          share|improve this answer








          edited 4 hours ago

























          answered Jun 6 '18 at 13:53









          marmotmarmot

          115k5145276




          115k5145276













          • I really appreciate your efforts. Thank you! When you change the angle of the view, for example to view={50}{70} something get's messed up with the sorting, the bars are overlapping, the same happens when you set x dir=reversed. Maybe there is a solution for it by changing the sorting algorithm. One little addition: You could add "pt" at the end of the typeout for the depth and width.

            – sporc
            Jun 12 '18 at 7:35











          • @sporc Yes, of course, if you change the view, it won't work any more. And I am doing the sort independently of the view. At this point, I don't see any easy way to fix that. But thanks for the remark on pt, I'll change this right away.

            – marmot
            Jun 12 '18 at 14:45











          • Could you please explain how you calculate the x and y dimensions. As far as I understand you take the length from (1,0,0) to (0,0,0) for x and divide it by xmax? I am asking beacuase I want to adjust the code so that it takes the length (1,0,0) to (0,0,0) and divides it by a fix value, like 100. So that 100 bars would fit along the axis

            – sporc
            Jun 28 '18 at 11:22











          • @sporc Yes, that's precisely how I compute it.

            – marmot
            Jun 28 '18 at 14:18











          • I can't see where you divide. Isn't this just the length?pgfextra{pgfmathsetmacro{convy}{veclen(x1,y1)}

            – sporc
            Jun 29 '18 at 6:44



















          • I really appreciate your efforts. Thank you! When you change the angle of the view, for example to view={50}{70} something get's messed up with the sorting, the bars are overlapping, the same happens when you set x dir=reversed. Maybe there is a solution for it by changing the sorting algorithm. One little addition: You could add "pt" at the end of the typeout for the depth and width.

            – sporc
            Jun 12 '18 at 7:35











          • @sporc Yes, of course, if you change the view, it won't work any more. And I am doing the sort independently of the view. At this point, I don't see any easy way to fix that. But thanks for the remark on pt, I'll change this right away.

            – marmot
            Jun 12 '18 at 14:45











          • Could you please explain how you calculate the x and y dimensions. As far as I understand you take the length from (1,0,0) to (0,0,0) for x and divide it by xmax? I am asking beacuase I want to adjust the code so that it takes the length (1,0,0) to (0,0,0) and divides it by a fix value, like 100. So that 100 bars would fit along the axis

            – sporc
            Jun 28 '18 at 11:22











          • @sporc Yes, that's precisely how I compute it.

            – marmot
            Jun 28 '18 at 14:18











          • I can't see where you divide. Isn't this just the length?pgfextra{pgfmathsetmacro{convy}{veclen(x1,y1)}

            – sporc
            Jun 29 '18 at 6:44

















          I really appreciate your efforts. Thank you! When you change the angle of the view, for example to view={50}{70} something get's messed up with the sorting, the bars are overlapping, the same happens when you set x dir=reversed. Maybe there is a solution for it by changing the sorting algorithm. One little addition: You could add "pt" at the end of the typeout for the depth and width.

          – sporc
          Jun 12 '18 at 7:35





          I really appreciate your efforts. Thank you! When you change the angle of the view, for example to view={50}{70} something get's messed up with the sorting, the bars are overlapping, the same happens when you set x dir=reversed. Maybe there is a solution for it by changing the sorting algorithm. One little addition: You could add "pt" at the end of the typeout for the depth and width.

          – sporc
          Jun 12 '18 at 7:35













          @sporc Yes, of course, if you change the view, it won't work any more. And I am doing the sort independently of the view. At this point, I don't see any easy way to fix that. But thanks for the remark on pt, I'll change this right away.

          – marmot
          Jun 12 '18 at 14:45





          @sporc Yes, of course, if you change the view, it won't work any more. And I am doing the sort independently of the view. At this point, I don't see any easy way to fix that. But thanks for the remark on pt, I'll change this right away.

          – marmot
          Jun 12 '18 at 14:45













          Could you please explain how you calculate the x and y dimensions. As far as I understand you take the length from (1,0,0) to (0,0,0) for x and divide it by xmax? I am asking beacuase I want to adjust the code so that it takes the length (1,0,0) to (0,0,0) and divides it by a fix value, like 100. So that 100 bars would fit along the axis

          – sporc
          Jun 28 '18 at 11:22





          Could you please explain how you calculate the x and y dimensions. As far as I understand you take the length from (1,0,0) to (0,0,0) for x and divide it by xmax? I am asking beacuase I want to adjust the code so that it takes the length (1,0,0) to (0,0,0) and divides it by a fix value, like 100. So that 100 bars would fit along the axis

          – sporc
          Jun 28 '18 at 11:22













          @sporc Yes, that's precisely how I compute it.

          – marmot
          Jun 28 '18 at 14:18





          @sporc Yes, that's precisely how I compute it.

          – marmot
          Jun 28 '18 at 14:18













          I can't see where you divide. Isn't this just the length?pgfextra{pgfmathsetmacro{convy}{veclen(x1,y1)}

          – sporc
          Jun 29 '18 at 6:44





          I can't see where you divide. Isn't this just the length?pgfextra{pgfmathsetmacro{convy}{veclen(x1,y1)}

          – sporc
          Jun 29 '18 at 6:44


















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