tetrahedron_monte_carlo

tetrahedron_monte_carlo, a C code which estimates the integral of a function F(X,Y,Z) over a tetrahedron using the Monte Carlo method.

The library makes it relatively easy to compare different methods of producing sample points in the tetrahedron, and to vary the tetrahedron over which integration is carried out.

Licensing:

The information on this web page is distributed under the MIT license.

Languages:

tetrahedron_monte_carlo 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 Programs:

tetrahedron_monte_carlo_test

c_monte_carlo, a C code which uses Monte Carlo sampling to estimate areas and integrals.

Reference:

1. Claudio Rocchini, Paolo Cignoni,
   Generating Random Points in a Tetrahedron,
   Journal of Graphics Tools,
   Volume 5, Number 4, 2000, pages 9-12.
2. Reuven Rubinstein,
   Monte Carlo Optimization, Simulation and Sensitivity of Queueing Networks,
   Krieger, 1992,
   ISBN: 0894647644,
   LC: QA298.R79.
3. Greg Turk,
   Generating Random Points in a Triangle,
   in Graphics Gems I,
   edited by Andrew Glassner,
   AP Professional, 1990,
   ISBN: 0122861663,
   LC: T385.G697

Source Code:

• tetrahedron_monte_carlo.c, the source code.
• tetrahedron_monte_carlo.sh, compiles the source code.
• tetrahedron_monte_carlo.h, the include file.
• tetrahedron_monte_carlo.sh, commands to compile the source code.