DUEL_SIMULATION, a C++ program which simulates N instances of a duel between two players.
Player A fires at player B, and hits with a probability of A_ACCURACY. If Player A misses, then Player B fires at Player A, hitting with a probability of B_ACCURACY.
The duel continues with alternating shots until only one player survives.
The simulation is intended to estimate the probabilities that a player will survive.
The exact probability that player 1 will survive is
P(1) / ( P(1) + P(2) - P(1) * P(2) )while player 2's chance is
P(2) * ( 1 - P(1) ) / ( P(1) + P(2) - P(1) * P(2) ).
The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.
DUEL_SIMULATION is available in a C version and a C++ version and a FORTRAN90 version and a MATLAB version and a Python version.
BROWNIAN_MOTION_SIMULATION, a C++ library which simulates Brownian motion in an M-dimensional region.
FAIR_DICE_SIMULATION, a C++ program which simulates N tosses of 2 dice, making a histogram of the 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.