fair_dice_simulation


fair_dice_simulation, a FORTRAN90 code 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
where

Licensing:

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

Languages:

fair_dice_simulation is available in a C version and a C++ version and a Fortran90 version and a MATLAB version and an Octave version and a Python version.

Related Data and codes:

brownian_motion_simulation, a FORTRAN90 code which simulates Brownian motion in an M-dimensional region.

duel_simulation, a FORTRAN90 code which simulates N repetitions of a duel between two players, each of whom has a known firing accuracy.

fair_dice_simulation_test

HIGH_CARD_SIMULATION, a FORTRAN90 code 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 code uses GNUPLOT for graphics.

ISING_2D_SIMULATION, a FORTRAN90 code 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.

ISING_3D_SIMULATION, a FORTRAN90 code which carries out a Monte Carlo simulation of an Ising model, a 3D array of positive and negative charges, each of which is likely to flip to be in agreement with neighbors.

POISSON_SIMULATION, a FORTRAN90 code which simulates a Poisson process in which events randomly occur with an average waiting time of Lambda.

REACTOR_SIMULATION, a FORTRAN90 code which a simple Monte Carlo simulation of the shielding effect of a slab of a certain thickness in front of a neutron source. This code was provided as an example with the book "Numerical Methods and Software."

SNAKES_AND_LADDERS, FORTRAN90 codes which simulate the game of Snakes and Ladders.

THREE_BODY_SIMULATION, a FORTRAN90 code 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:


Last revised on 22 June 2020.