polygon_monte_carlo, an Octave code which applies a Monte Carlo method to estimate the integral of a function over the interior of a polygon in 2D.
The computer code and data files made available on this web page are distributed under the MIT license
polygon_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.
annulus_monte_carlo an Octave code which uses the monte carlo method to estimate the integral of a function over the interior of a circular annulus in 2d.
ball_monte_carlo, an Octave code which applies a monte carlo method to estimate integrals of a function over the interior of the unit ball in 3d;
circle_monte_carlo, an Octave code which uses the monte carlo method to estimate integrals over the circumference of the unit circle in 2d.
cube_monte_carlo, an Octave code which applies a monte carlo method to estimate the integral of a function over the interior of the unit cube in 3d;
disk_monte_carlo, an Octave code which uses the monte carlo method to estimate integrals over the interior of the general disk in 2d.
disk01_monte_carlo, an Octave code which uses the monte carlo method to estimate integrals over the interior of the unit disk in 2d.
disk01_quarter_monte_carlo, an Octave code which applies a monte carlo method to estimate the integral of a function over the interior of the unit quarter disk in 2d;
ellipse_monte_carlo an Octave code which uses the monte carlo method to estimate the value of integrals over the interior of an ellipse in 2d.
ellipsoid_monte_carlo an Octave code which uses the monte carlo method to estimate the value of integrals over the interior of an ellipsoid in m dimensions.
hyperball_monte_carlo, an Octave code which applies a monte carlo method to estimate the integral of a function over the interior of the unit hyperball in m dimensions;
hypercube_monte_carlo, an Octave code which applies a monte carlo method to estimate the integral of a function over the interior of the unit hypercube in m dimensions;
hypersphere_monte_carlo, an Octave code which applies a monte carlo method to estimate the integral of a function on the surface of the unit hypersphere in m dimensions;
line_monte_carlo, an Octave code which uses the monte carlo method to estimate integrals over the length of the unit line in 1d.
polygon, an Octave code which carries out geometric calculations on polygons, including angles, area, centroid, containment of a point, diameter, integrals of monomials, convexity, distance to a point, sampling, triangulation.
polygon_integrals, an Octave code which returns the exact value of the integral of any monomial over the interior of a polygon in 2d.
polygon_triangulate, an Octave code which triangulates a possibly nonconvex polygon, and which can use gnuplot to display the external edges and internal diagonals of the triangulation.
pyramid_monte_carlo, an Octave code which applies a monte carlo method to estimate integrals of a function over the interior of the unit pyramid in 3d;
simplex_monte_carlo, an Octave code which uses the monte carlo method to estimate integrals over the interior of the unit simplex in m dimensions.
sphere_monte_carlo, an Octave code which applies a monte carlo method to estimate the integral of a function on the surface of the unit sphere in 3d;
sphere_triangle_monte_carlo, an Octave code which applies a monte carlo method to estimate the integral of a function over a spherical triangle on the surface of the unit sphere in 3d;
square_monte_carlo, an Octave 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, an Octave code which uses the monte carlo method to estimate integrals over the interior of the unit tetrahedron in 3d.
triangle_monte_carlo, an Octave code which uses the monte carlo method to estimate integrals over the interior of a triangle in 2d.
triangle01_monte_carlo, an Octave code which uses the monte carlo method to estimate integrals over the interior of the unit triangle in 2d.
wedge_monte_carlo, an Octave code which uses the monte carlo method to estimate integrals over the interior of the unit wedge in 3d.