Vrftsjtryk

I was wondering if there was a more succinct way to express the following plot (I'm using the plain format):

input tikz

tikzpicture

  draw[help lines, ystep=.5] (-.2,-10) grid (12.5,15);

  draw[->] (0, -10) to (0, 15) node[above] {$y$};

  draw[->] (0, 0) to (12.5, 0) node[right] {$x$};

  draw (1,-.5) node {$1$};

  draw (2,-.5) node {$2$};

  draw (3,-.5) node {$3$};

  draw (4,-.5) node {$4$};

  draw (5,-.5) node {$5$};

  draw (6,-.5) node {$6$};

  draw (7,-.5) node {$7$};

  draw (8,-.5) node {$8$};

  draw (9,-.5) node {$9$};

  draw (10,-.5) node {$10$};

  draw (11,-.5) node {$11$};

  draw (12,-.5) node {$12$};



  draw (-.5,-10) node {$-20$};

  draw (-.5,-9) node {$-18$};

  draw (-.5,-8) node {$-16$};

  draw (-.5,-7) node {$-14$};

  draw (-.5,-6) node {$-12$};

  draw (-.5,-5) node {$-10$};

  draw (-.5,-4) node {$-8$};

  draw (-.5,-3) node {$-6$};

  draw (-.5,-2) node {$-4$};

  draw (-.5,-1) node {$-2$};

  draw (-.5,0) node {$0$};

  draw (-.5,1) node {$2$};

  draw (-.5,2) node {$4$};

  draw (-.5,3) node {$6$};

  draw (-.5,4) node {$8$};

  draw (-.5,5) node {$10$};



  draw (0,-10) circle (2pt);

  draw (1,-9) circle (2pt);

  draw (2,-8) circle (2pt);

  draw (3,-7) circle (2pt);

  draw (4,-6) circle (2pt);

  draw (5,-5) circle (2pt);

  draw (6,-4) circle (2pt);

  draw (7,-3) circle (2pt);

  draw (8,-2) circle (2pt);

  draw (9,-1) circle (2pt);

  draw (10,0) circle (2pt);

  draw (11,1) circle (2pt);

  draw (12,2) circle (2pt);

endtikzpicture

bye

It comes out so big it doesn't fit on a page.

Here's a LaTeX version.

documentclass[tikz,border=3.14mm]{standalone}

usepackage{tikz}

begin{document}

begin{tikzpicture}

  draw[help lines, ystep=.5] (-.2,-10) grid (12.5,15);

  draw[->] (0, -10) to (0, 15) node[above] {$y$};

  draw[->] (0, 0) to (12.5, 0) node[right] {$x$};

  foreach X in {0,...,12}

  {ifnumX>0

  node at (X,-0.5) {$X$};

  fi

  draw (X,-10+X) circle (2pt); }

  foreach Y in {-20,-18,...,10}

  {node at (-0.5,Y/2) {$Y$};}

end{tikzpicture}

end{document}

Amazingly the following does run through with pdftex

input tikz

tikzpicture

draw[help lines, ystep=.5] (-.2,-10) grid (12.5,15);

  draw[->] (0, -10) to (0, 15) node[above] {$y$};

  draw[->] (0, 0) to (12.5, 0) node[right] {$x$};

  foreach X in {0,...,12}

  {ifnumX>0

  node at (X,-0.5) {$X$};

  fi

  draw (X,-10+X) circle (2pt); }

  foreach Y in {-20,-18,...,10}

  {node at (-0.5,Y/2) {$Y$};}

endtikzpicture

bye

So after spending a night reading the manual while in a trial-error-loop, after many solemn utterances to invoke supernatural power to inflict harm or punishment on something, all of which now regretted, I finally – victoriously – formed the following:

documentclass{article}

usepackage{tikz}

usetikzlibrary{datavisualization, datavisualization.formats.functions}

begin{document}

begin{tikzpicture}

  datavisualization[

    school book axes

    , x axis={unit length=5mm}

    , y axis={

      unit length=5mm

      , ticks={step=2}

      , grid

      , scaling = min at 0cm and max at 5cm

    }

    , visualize as line

  ]

  data[format=function] {

    var x : interval [0:12];

    func y = (value x - 10) * 2;

  };

end{tikzpicture}

end{document}

Boom! Pow! Shazam! Holy function data format, Batman! This is pretty darn nice, it has to be said.

Only trouble I found, is that it does not work with the plain format, forcing the user to descend to a lower plane of enlightenment.