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 computer code and data files described and made available on this web page are 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 a Python version.

Related Data and Programs:

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PYRAMID_MONTE_CARLO, a Python code which applies a Monte Carlo method to estimate integrals of a function over the interior of the unit pyramid in 3D;

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SPHERE_MONTE_CARLO, a Python code which applies a Monte Carlo method to estimate the integral of a function on the surface of the unit sphere in 3D;

SQUARE_MONTE_CARLO, a Python code which applies a Monte Carlo method to estimate the integral of a function over the interior of the unit square in 2D;

TETRAHEDRON_MONTE_CARLO, a Python code which uses the Monte Carlo method to estimate integrals over the interior of the unit tetrahedron in 3D.

TRIANGLE01_MONTE_CARLO, a Python code which uses the Monte Carlo method to estimate integrals over the interior of the unit triangle in 2D.

WEDGE_MONTE_CARLO, a Python code which uses the Monte Carlo method to estimate integrals over the interior of the unit wedge in 3D.

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:


Last revised on 04 February 2020.