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 (have nothing in common). Rectangles need not be of same type (IRect or Rect). There also is a new method for IRect/Rect doing the same thing: r1.intersects(r2) delivers (the negation of) the bool above.

tuple(r1 | x) == tuple(r1)

means that x is completely contained in r1. x can be any rectangle or point in this case. There also is a new method for Rect/IRect doing the same: r1.contains(x) delivers the bool of above.