% Gnuplot TikZ terminal
% Author: Peter Hedwig
\documentclass{article}

%\usepackage{tikz}
\usepackage{gnuplot-lua-tikz}
\usepackage{mathpazo}
\usepackage{verbatim}

\begin{document}

\begin{comment}
:Title: Gnuplot TikZ terminal
:Tags: GNUPLOT, Code generation

A demonstration of output from Peter Hedwig's Gnuplot `TikZ terminal`_ . The terminal 
translates plots to a series
of TikZ commands. This ensures font and line width consistency, and it is straightforward
to customize the plot afterwards. For more details and examples, see Peter Hedwig's `gnuplot page`_. 

Gnuplot code for generating the plot::

    set terminal lua fulldoc \
    solid originreset plotsize 9,6.5
    set output 'ntest.tex'

    set format x "%2.0f"
    set format y "%3.2f"

    unset key
    set label 1 '$\mu$' at 5.5, 0.0193014, 0 left norotate back nopoint offset character 0, 0, 0
    set label 2 '$\sigma$' at 7.73607, 0.108213, 0 left norotate back nopoint offset character 0, 0, 0
    set arrow 1 from 5, 0, 0 to 5, 0.178412, 0 nohead back nofilled linetype -1 linewidth 1.000
    set arrow 2 from 5, 0.108213, 0 to 7.23607, 0.108213, 0 nohead back nofilled linetype -1 linewidth 1.000
    set samples 200, 200
    set ytics border in scale 1,0.5 mirror norotate  offset character 0, 0, 0 0.00000,0.0193014,0.193014
    set title "poisson PDF using normal approximation"
    set xlabel '$k, x$ \tikz[baseline]{\draw[yshift=.7ex,->](0,0)--(.7,0);}'
    set xrange [ -2.00000 : 15.0000 ] noreverse nowriteback
    set ylabel 'probability density \tikz[baseline]{\draw[yshift=.7ex,->](0,0)--(.7,0);}'
    set yrange [ 0.00000 : 0.193014 ] noreverse nowriteback

    isint(x)=(int(x)==x)

    normal(x,mu,sigma)=sigma<=0?1/0:invsqrt2pi/sigma*exp(-0.5*((x-mu)/sigma)**2)
    poisson(x,mu)=mu<=0?1/0:!isint(x)?1/0:x<0?0.0:exp(x*log(mu)-lgamma(x+1)-mu)

    rnd(x) = floor(x+0.5)
    fourinvsqrtpi = 2.25675833419103
    invsqrt2pi = 0.398942280401433
    twopi = 6.28318530717959
    mu = 5.0
    sigma = 2.23606797749979

    plot poisson(rnd(x), mu) with histeps,\
    normal(x, mu, sigma) # title '$\mathrm{normal}(x, \mu, \sigma)$'


:Author: Peter Hedwig

.. _TikZ terminal: http://peter.affenbande.org/gnuplot/
.. _gnuplot page: http://peter.affenbande.org/gnuplot/
.. _Lua: http://www.lua.org/
\end{comment}



\begin{tikzpicture}[gnuplot]
%% generated with GNUPLOT 4.2p0 (Lua 5.1.2; terminal rev. 42, script rev. 48)
%% Thu Aug 16 14:56:08 2007
%% DEBUG reset
%% DEBUG backtext
\color{gp_lt_color_b}
\gpsetlinetype{gp_lt_border}
\gpsetlinewidth{1.00}
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\draw (9.000,1.300)--(8.875,1.300);
\node[anchor=mid east] at (-0.180,1.300) {0.04};
\draw (0.000,1.950)--(0.125,1.950);
\draw (9.000,1.950)--(8.875,1.950);
\node[anchor=mid east] at (-0.180,1.950) {0.06};
\draw (0.000,2.600)--(0.125,2.600);
\draw (9.000,2.600)--(8.875,2.600);
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\draw (9.000,4.550)--(8.875,4.550);
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\node[anchor=mid] at (5.294,-0.298) { 8};
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\node[anchor=mid] at (8.470,-0.298) {14};
\draw (0.000,6.500)--(0.000,0.000)--(9.000,0.000)--(9.000,6.500)--cycle;
\node[anchor=mid,rotate=90] at (-1.282,3.250) {probability density \tikz[baseline]{\draw[yshift=.7ex,->](0,0)--(.7,0);}};
\node[anchor=mid] at (4.500,-0.746) {$k, x$ \tikz[baseline]{\draw[yshift=.7ex,->](0,0)--(.7,0);}};
\node[anchor=mid] at (4.500,6.948) {poisson PDF using normal approximation};
\node[anchor=mid west] at (3.970,0.650) {$\mu$};
\node[anchor=mid west] at (5.155,3.644) {$\sigma$};
\draw[](3.706,0.000)--(3.706,6.008);
\draw[](3.706,3.644)--(4.889,3.644);
%% DEBUG fronttext
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\color{gp_lt_color_b}
\draw (0.000,6.500)--(0.000,0.000)--(9.000,0.000)--(9.000,6.500)--cycle;
%% DEBUG end_text
%% coordinates of the plot area
\coordinate (gpbb lowerleft 1) at (0.000,0.000);
\coordinate (gpbb lowerright 1) at (9.000,0.000);
\coordinate (gpbb upperright 1) at (9.000,6.500);
\coordinate (gpbb upperleft 1) at (0.000,6.500);

%%
%% show plot corners
%%
\draw[color=red] plot[mark=x] coordinates {(gpbb upperright 1)};
\draw[color=red] plot[mark=x] coordinates {(gpbb lowerright 1)};
\draw[color=red] plot[mark=x] coordinates {(gpbb upperleft 1)};
\draw[color=red] plot[mark=x] coordinates {(gpbb lowerleft 1)};
\end{tikzpicture}


\end{document}