toms112

toms112, a MATLAB code which determines whether a point is inside a polygon.

The text of many ACM TOMS algorithms is available online through ACM: https://calgo.acm.org/ or NETLIB: https://www.netlib.org/toms/index.html.

Licensing:

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

Languages:

toms112 is available in a C version and a C++ version and a FORTRAN90 version and a MATLAB version and a Python version.

Related Software and Data:

toms112_test

geometry, a MATLAB code which performs geometric calculations in 2, 3 and N dimensional space.

polygon_monte_carlo, a MATLAB code which applies a Monte Carlo method to estimate the integral of a function over the interior of a polygon in 2D.

polygon_properties, a MATLAB code which computes properties of an arbitrary polygon in the plane, defined by a sequence of vertices, including interior angles, area, centroid, containment of a point, convexity, diameter, distance to a point, inradius, lattice area, nearest point in set, outradius, uniform sampling.

polygon_triangulate, a MATLAB code which triangulates a possibly nonconvex polygon, and which can use gnuplot to display the external edges and internal diagonals of the triangulation.

Reference:

1. Moshe Shimrat,
   Algorithm 112: Position of Point Relative to Polygon,
   Communications of the ACM,
   Volume 5, Number 8, August 1962, page 434.

Source Code:

• point_in_polygon.m, determines if a point is in a polygon.
• r8vec2_print.m, prints a pair of R8VEC's.