FAIR_DICE_SIMULATION
Simulation of Two Fair Dice

FAIR_DICE_SIMULATION is a FORTRAN77 program which simulates N games in which two fair dice are thrown and summed, creating graphics files for processing by gnuplot.

Usage:

fair_dice_simulation n

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

Licensing:

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

Languages:

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:

BROWNIAN_MOTION_SIMULATION, a FORTRAN77 library which simulates Brownian motion in an M-dimensional region.

DUEL_SIMULATION, a FORTRAN77 program which simulates N repetitions of a duel between two players, each of whom has a known firing accuracy.

GNUPLOT, FORTRAN77 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 FORTRAN77 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 FORTRAN77 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.

POISSON_SIMULATION, a FORTRAN77 library which simulates a Poisson process in which events randomly occur with an average waiting time of Lambda.

REACTOR_SIMULATION, a FORTRAN77 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, FORTRAN77 programs which simulate the game of Snakes and Ladders.

THREE_BODY_SIMULATION, a FORTRAN77 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:

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:

• fair_dice_simulation.f, the source code.
• fair_dice_simulation.sh, BASH commands to compile the source code.

Examples and Tests:

• fair_dice_data.txt, a table of 1000 throws of a pair of fair dice.
• fair_dice_commands.txt, GNUPLOT commands to plot the data.
• fair_dice.png, a PNG image made by GNUPLOT.

List of Routines:

• FAIR_DICE_SIMULATION simulates N throws of two fair dice.
• GET_SEED returns a seed for the random number generator.
• I4_UNIFORM returns a scaled pseudorandom I4.
• S_TO_I4 reads an I4 from a string.
• TIMESTAMP prints the current YMDHMS date as a time stamp.

You can go up one level to the FORTRAN77 source codes.