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<html>
<head>
<title>
FAIR_DICE_SIMULATION - Simulation of Two Fair Dice
</title>
</head>
<body bgcolor="#EEEEEE" link="#CC0000" alink="#FF3300" vlink="#000055">
<h1 align = "center">
FAIR_DICE_SIMULATION <br> Simulation of Two Fair Dice
</h1>
<hr>
<p>
<b>FAIR_DICE_SIMULATION</b>
is a C++ program which
simulates N games in which two fair dice are thrown and summed,
creating graphics files for processing by gnuplot.
</p>
<h3 align = "center">
Usage:
</h3>
<p>
<blockquote>
<b>fair_dice_simulation</b> <i>n</i>
</blockquote>
where
<ul>
<li>
<i>n</i> is the number of times the 2 dice are thrown.
</li>
</ul>
</p>
<h3 align = "center">
Licensing:
</h3>
<p>
The computer code and data files made available on this web page
are distributed under
<a href = "../../txt/gnu_lgpl.txt">the GNU LGPL license.</a>
</p>
<h3 align = "center">
Languages:
</h3>
<p>
<b>FAIR_DICE_SIMULATION</b> is available in
<a href = "../../c_src/fair_dice_simulation/fair_dice_simulation.html">a C version</a> and
<a href = "../../cpp_src/fair_dice_simulation/fair_dice_simulation.html">a C++ version</a> and
<a href = "../../f77_src/fair_dice_simulation/fair_dice_simulation.html">a FORTRAN77 version</a> and
<a href = "../../f_src/fair_dice_simulation/fair_dice_simulation.html">a FORTRAN90 version</a> and
<a href = "../../m_src/fair_dice_simulation/fair_dice_simulation.html">a MATLAB version</a>.
</p>
<h3 align = "center">
Related Data and Programs:
</h3>
<p>
<a href = "../../cpp_src/brownian_motion_simulation/brownian_motion_simulation.html">
BROWNIAN_MOTION_SIMULATION</a>,
a C++ library which
simulates Brownian motion in an M-dimensional region.
</p>
<p>
<a href = "../../cpp_src/duel_simulation/duel_simulation.html">
DUEL_SIMULATION</a>,
a C++ program which
simulates N repetitions of a duel between two players, each of
whom has a known firing accuracy.
</p>
<p>
<a href = "../../cpp_src/gnuplot/gnuplot.html">
GNUPLOT</a>,
C++ programs which
illustrate how a program can write data and command files
so that gnuplot can create plots of the program results.
</p>
<p>
<a href = "../../cpp_src/high_card_simulation/high_card_simulation.html">
HIGH_CARD_SIMULATION</a>,
a C++ program which
simulates a situation in which you see the cards in a deck one by one,
and must select the one you think is the highest and stop;
the program uses GNUPLOT for graphics.
</p>
<p>
<a href = "../../cpp_src/ising_2d_simulation/ising_2d_simulation.html">
ISING_2D_SIMULATION</a>,
a C++ program which
carries out a Monte Carlo simulation of an Ising model.
a 2D array of positive and negative charges,
each of which is likely to "flip" to be in agreement with neighbors.
</p>
<p>
<a href = "../../cpp_src/life_opengl/life_opengl.html">
LIFE_OPENGL</a>,
a C++ program which
uses OpenGL to display the evolution of John Conway's "Game of Life".
</p>
<p>
<a href = "../../cpp_src/poisson_simulation/poisson_simulation.html">
POISSON_SIMULATION</a>,
a C++ library which
simulates a Poisson process in which events randomly occur with an
average waiting time of Lambda.
</p>
<p>
<a href = "../../cpp_src/reactor_simulation/reactor_simulation.html">
REACTOR_SIMULATION</a>,
a C++ program which
a simple Monte Carlo simulation of the shielding effect of a slab
of a certain thickness in front of a neutron source. This program was
provided as an example with the book "Numerical Methods and Software."
</p>
<p>
<a href = "../../cpp_src/snakes_and_ladders/snakes_and_ladders.html">
SNAKES_AND_LADDERS</a>,
C++ programs which
simulate the game of Snakes and Ladders.
</p>
<p>
<a href = "../../cpp_src/three_body_simulation/three_body_simulation.html">
THREE_BODY_SIMULATION</a>,
a C++ program which
simulates the behavior of three planets, constrained to lie in a plane,
and moving under the influence of gravity,
by Walter Gander and Jiri Hrebicek.
</p>
<h3 align = "center">
Reference:
</h3>
<p>
<ol>
<li>
Paul Nahin,<br>
Digital Dice: Computational Solutions to Practical Probability Problems,<br>
Princeton University Press, 2008,<br>
ISBN13: 978-0-691-12698-2,<br>
LC: QA273.25.N34.
</li>
<li>
Dianne OLeary,<br>
Scientific Computing with Case Studies,<br>
SIAM, 2008,<br>
ISBN13: 978-0-898716-66-5,<br>
LC: QA401.O44.
</li>
</ol>
</p>
<h3 align = "center">
Source Code:
</h3>
<p>
<ul>
<li>
<a href = "fair_dice_simulation.cpp">fair_dice_simulation.cpp</a>,
the source code.
</li>
<li>
<a href = "fair_dice_simulation.sh">fair_dice_simulation.sh</a>,
a BASH script to compile, link and load the program.
</li>
</ul>
</p>
<h3 align = "center">
Examples and Tests:
</h3>
<p>
<ul>
<li>
<a href = "fair_dice_data.txt">fair_dice_data.txt</a>,
a table of 1000 throws of a pair of fair dice.
</li>
<li>
<a href = "fair_dice_commands.txt">fair_dice_commands.txt</a>,
GNUPLOT commands to plot the data.
</li>
<li>
<a href = "fair_dice.png">fair_dice.png</a>,
a PNG image made by GNUPLOT.
</li>
</ul>
</p>
<p>
You can go up one level to <a href = "../cpp_src.html">
the C++ source codes</a>.
</p>
<hr>
<i>
Last revised on 25 May 2013.
</i>
<!-- John Burkardt -->
</body>
</html>