How to Check if Rectangles are Disjoint

Algebraic functions of rectangle and points can be used to check inclusion of such objects. Questions like "Is rectangle R1 contained in rectangle R2?" or "Is point P outside or inside rectangle R?" can easily be answered.

For rectangles, points and matrices, the list() and tuple() functions will return sequences of the coordinates. Therefore:

tuple(r1 & r2) == (0, 0, 0, 0)

means that r1 and r2 are disjoint.

tuple(r1 | r2) == tuple(r1)

means that r2 is completely contained in r1.

Note that r2 in the above examples can be a rectangle or a point.