triangle_monte_carlo

triangle_monte_carlo, a Python code which estimates the integral of a function over a general triangle using the Monte Carlo method.

The code makes it easy to vary the triangle over which integration is carried out.

Licensing:

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

Languages:

triangle_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:

python_monte_carlo, a Python code which uses Monte Carlo sampling to estimate areas and integrals.

triangle_witherden_rule, a Python code which returns a symmetric Witherden quadrature rule for the triangle, with exactness up to total degree 20.

Reference:

1. 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:

• triangle_monte_carlo.py, the source code.
• triangle_monte_carlo.sh, runs all the tests.
• triangle_monte_carlo.txt, the output file.