ROULETTE_SIMULATION, a MATLAB library which simulates the spinning of a roulette wheel and the evaluation of certain common roulette bets.
A fair wheel would have 36 pockets; a European wheel has an extra "0" pocket, while a Las Vegas wheel has "0" and "00" pockets. Pockets "0" and "00" are in general losers for the player. Players can bet on a single number, red or black, odd or even, low or high, column 1, 2 or 3, or more complicated bets. The payoffs are computed as though there were no 0 pockets, so this gives the house a considerable edge.
The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.
ROULETTE_SIMULATION is available in a MATLAB version.
BROWNIAN_MOTION_SIMULATION, a MATLAB program which simulates Brownian motion in an M-dimensional region.
COIN_SIMULATION, a MATLAB library which looks at ways of simulating or visualizing the results of many tosses of a fair or biased coin.
DICE_SIMULATION, a MATLAB program which simulates N tosses of M dice, making a histogram of the results.
DUEL_SIMULATION, a MATLAB program which simulates N repetitions of a duel between two players, each of whom has a known firing accuracy.
GAMBLERS_RUIN_SIMULATION, a MATLAB program which simulates the game of gambler's ruin.
HIGH_CARD_SIMULATION, a MATLAB 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.
ISING_2D_SIMULATION, a MATLAB 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.
LIGHTS_OUT, a MATLAB program which sets up the "Lights Out" game and allows a user to try to solve it.
LORENZ_SIMULATION, a MATLAB program which solves the Lorenz equations and displays the solution, for various starting conditions.
POISSON_SIMULATION, a MATLAB library which simulates a Poisson process in which events randomly occur with an average waiting time of Lambda.
RANDOM_WALK_1D_SIMULATION, a MATLAB program which simulates a random walk in a 1-dimensional region.
RANDOM_WALK_2D_AVOID_SIMULATION, a MATLAB program which simulates a self-avoiding random walk in a 2-dimensional region.
RANDOM_WALK_2D_SIMULATION, a MATLAB program which simulates a random walk in a 2-dimensional region.
RANDOM_WALK_3D_SIMULATION, a MATLAB program which simulates a random walk in a 3-dimensional region.
REACTOR_SIMULATION, a MATLAB 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."
SIR_SIMULATION, a MATLAB program which simulates the spread of a disease through a hospital room of M by N beds, using the Susceptible/Infected/Recovered (SIR) model.
THREE_BODY_SIMULATION, a MATLAB 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.
TRAFFIC_SIMULATION, a MATLAB program which simulates the cars waiting to get through a traffic light.
TRUEL_SIMULATION, a MATLAB program which simulates N repetitions of a duel between three players, each of whom has a known firing accuracy.