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FAIR_DICE_SIMULATION
Simulation of Two Fair Dice {#fair_dice_simulation-simulation-of-two-fair-dice align="center"}


FAIR_DICE_SIMULATION is a C++ program which simulates N games in which two fair dice are thrown and summed, creating graphics files for processing by gnuplot.

Usage: {#usage align="center"}

fair_dice_simulation n

where

  • n is the number of times the 2 dice are thrown.

Licensing: {#licensing align="center"}

The computer code and data files made available on this web page are distributed under the GNU LGPL license.

Languages: {#languages align="center"}

FAIR_DICE_SIMULATION is available in a C version and a C++ version and a FORTRAN77 version and a FORTRAN90 version and a MATLAB version.

Related Data and Programs: {#related-data-and-programs align="center"}

BROWNIAN_MOTION_SIMULATION, a C++ library which simulates Brownian motion in an M-dimensional region.

DUEL_SIMULATION, a C++ program which simulates N repetitions of a duel between two players, each of whom has a known firing accuracy.

GNUPLOT, C++ programs which illustrate how a program can write data and command files so that gnuplot can create plots of the program results.

HIGH_CARD_SIMULATION, 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.

ISING_2D_SIMULATION, 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.

LIFE_OPENGL, a C++ program which uses OpenGL to display the evolution of John Conway's "Game of Life".

POISSON_SIMULATION, a C++ library which simulates a Poisson process in which events randomly occur with an average waiting time of Lambda.

REACTOR_SIMULATION, 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."

SNAKES_AND_LADDERS, C++ programs which simulate the game of Snakes and Ladders.

THREE_BODY_SIMULATION, 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.

Reference: {#reference align="center"}

  1. Paul Nahin,
    Digital Dice: Computational Solutions to Practical Probability Problems,
    Princeton University Press, 2008,
    ISBN13: 978-0-691-12698-2,
    LC: QA273.25.N34.
  2. Dianne OLeary,
    Scientific Computing with Case Studies,
    SIAM, 2008,
    ISBN13: 978-0-898716-66-5,
    LC: QA401.O44.

Source Code: {#source-code align="center"}

Examples and Tests: {#examples-and-tests align="center"}

You can go up one level to the C++ source codes.


Last revised on 25 May 2013.