pyramid_monte_carlo

pyramid_monte_carlo, a Python code which estimates the integral of a function F(X,Y,Z) over the interior of the unit pyramid in 3D.

The unit pyramid has a square base of area 4, and a height of 1. Specifically, the integration region is: 

        - ( 1 - Z ) <= X <= 1 - Z
        - ( 1 - Z ) <= Y <= 1 - Z
                  0 <= Z <= 1.
The volume of the unit pyramid is 4/3.

Licensing:

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

Languages:

pyramid_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.

Source Code:

Last revised on 30 January 2020.