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Problem 1720. Do the lines intersect?

Created by Ned Gulley

You are given two line segments. Do they cross?

Consider one segment as (x1,y1) to (x2,y2), the other segment as (x3,y3) to (x4,y4). You are given a = [x1 y1; x2 y2]; b = [x3 y3; x4 y4]. Return tf=true if a and b intersect or tf=false if a and b do not touch.

All lines will intersect cleanly at exactly one non-endpoint. That is, they will not nest, overlap, or "kiss" at the endpoints.

Examples

 a = [0,0; 1,1];
 b = [0,1; 1,0];
 tf = true
 a = [0,0; 1,0];
 b = [0,1; 1,1];
 tf = false

Problem Group

Solution Statistics

19 correct solutions 9 incorrect solutions
Last solution submitted on Mar 11, 2014

Problem Comments

Solution Comments