# disk01_positive_monte_carlo

disk01_positive_monte_carlo, a MATLAB code which uses the Monte Carlo method to estimate the integral of a function over the interior of the unit positive disk in 2D.

The unit positive disk in 2D is the set of points (X,Y) such that 0 <= X, 0 <= Y, and X^2+Y^2 <= 1.

### Licensing:

The computer code and data files described and made available on this web page are distributed under the MIT license

### Languages:

disk01_positive_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.

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triangle_monte_carlo, a MATLAB code which uses the Monte Carlo method to estimate integrals over the interior of a triangle in 2d.

triangle01_monte_carlo, a MATLAB code which uses the Monte Carlo method to estimate integrals over the interior of the unit triangle in 2d.

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### Reference:

• John D Cook,
Random points in a high-dimensional orthant,
Posted 9 August 2023,
https://www.johndcook.com/blog/2023/08/09/random-points-hypersphere-orthant/

### Source Code:

Last revised on 09 January 2019.