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I want to be able to generate a list of points from a plot in Tikz, with an adjustable interval and range for the x-values. So basically something like this:

+            +
+     ^      +
+    / \     +
+   /   \    +
+  /     \   +

 X | Y 
-3 | 1 
-2 | 2 
-1 | 3 
0  | 4 
1  | 3 
2  | 2 
2  | 1 

Here is a minimal working example:


  dim above/.style={to path={\pgfextra{
        \draw[>=latex,|<->|,black!50] let
        in(\p1) -- (\p2) node[fill=black!5,pos=.5,sloped,above,font=\sffamily]{#1};
  dim below/.style={to path={\pgfextra{
        \draw[>=latex,|<->|,black!50] let 
        in (\p1) -- (\p2) node[pos=.5,sloped,below,font=\sffamily]{#1};

\begin{axis}[axis x line= middle, axis y line= middle, width=\textwidth, samples=50,grid=both, domain=-10:10, xmin=-#1, xmax=#1, ymin=-#1, ymax=#1, ultra thick, scale only axis, enlargelimits=false, anchor=origin, disabledatascaling]

\newcommand{\func}[2][abmblue]{\addplot[color=#1] {#2};}

\newcommand{\parfunc}[3][abmblue]{\addplot[color=#1,domain=-200:200] ({#2},{#3});}
\begin{plots}{Parametric Function of a Hyperbola}

An additional note: I have figured out how to do a table using \foreach:

\pgfkeys{/pgf/number format/.cd,fixed,fixed zerofill,precision=3} 
\foreach \i in {0,\the\numexpr2\relax,...,20}{
\edef\temp{\i & \pgfmathresult\noexpand\\} 


However, I have no clue how I would insert a parametric function into the \pgfmathparse{} command.

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So you have the function and you want to evaluate it at certain points and print that as a table? – Jake Mar 7 '13 at 17:40
Maybe you could post your TikZ code!? Your question is not easy to understand. – Hans-Peter E. Kristiansen Mar 7 '13 at 17:45
Welcome to TeX.SE. This is doable, depending on how you are doing the plot, so it would be best if you composed a fully compilable MWE including \documentclass and the appropriate packages that sets up the problem. – Peter Grill Mar 7 '13 at 17:49
@Jake exactly. I can post a mwe real quick. – Adam Blum Mar 7 '13 at 17:55
I feel that you are looking for something like function graph cut from pgfplotstable but I don't know if your X values are given or computed. I mean are they the x values or the arguments of 2+4/cos(x)=-3 etc.? – percusse Mar 7 '13 at 19:54

It turns out that the following is an answer to the question.

I've created a table from scratch to populate the function entries via having an array of values in column X and evaluation of the array via Y1 and Y2 columns with the functions given in the question.

create on use/X/.style={create col/set list={-3,...,3}}, 
create on use/Y1/.style={create col/expr={2+4/cos(\thisrow{X} r)}}, 
create on use/Y2/.style={create col/expr={-3+3*tan(\thisrow{X} r)}}, 
columns={X,Y1,Y2}, ]{7}{\mytable} 


enter image description here

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