Problem 198. Are you in or are you out?

Created by the cyclist

Solve Later

Given vertices specified by the vectors xv and yv, and a single point specified by the numbers X and Y, return "true" if the point lies inside (or on the boundary) of the polygon defined by the vertices.

Example:

 % The specified point is the center of the unit square:
 xv = [0 1 1 0];
 yv = [0 0 1 1];
 X = 0.5;
 Y = 0.5;

 inside(xv,yv,X,Y) -----> true

Solve

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Last Solution submitted on Mar 26, 2025

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3 Comments

Yuval Cohen on 31 Jan 2012

The test suit only tests points that are inside or outside but not on the boundary of the polygon

Peter Cook on 6 Jun 2015

Cyclist, this was a pretty tough problem to solve without resorting to Googling a solution or something similar. I ended up with a function that will work for any n-sided polygon. Thanks for the weekend challenge.

Yang Yang on 20 Apr 2018

Maybe, thinking this problem in topology aspect is useful.

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Problem 198. Are you in or are you out?

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Last 200 Solutions

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Problem Recent Solvers375

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Problem 198. Are you in or are you out?

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Last 200 Solutions

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Problem Recent Solvers375

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