ellipse_monte_carlo

ellipse_monte_carlo, a MATLAB code which uses the Monte Carlo method to estimate the value of integrals over the interior of an ellipse in 2D.

Licensing:

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

Languages:

ellipse_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:

ellipse_monte_carlo_test

ellipse, a MATLAB code which performs various geometric calculations for ellipses and ellipsoids.

ellipse_grid, a MATLAB code which computes a grid of points over the interior of an ellipse in 2D.

matlab_monte_carlo, a MATLAB code which uses Monte Carlo sampling to estimate areas and integrals.

Source Code:

• ellipse_area1.m, returns the area of an ellipse defined by a matrix.
• ellipse_area1_test.m
• ellipse_area2.m, returns the area of an ellipse defined by an equation.
• ellipse_area2_test.m
• ellipse_sample.m, samples points in an ellipse.
• monomial_value.m, evaluates a monomial.
• r8mat_print.m, prints an R8MAT.
• r8mat_print_some.m, prints some of an R8MAT.
• r8po_fa.m, factors an R8PO matrix.
• r8po_sl.m, solves an R8PO system factored by R8PO_FA.
• uniform_in_sphere01_map.m, maps uniform points into the unit sphere.