c# - Relation of two squares -

my homework make program draws 2 squares, , determines if cross, touch, inside of 1 another, or neither.

i use 2 point system: first top-left, other bottom-right. then, draw lines between them.

can you, please, tell me simple algorithm determines of these 4 cases happen?

crossing:

 ┌────┐  │  ┌──────────┐  │  │ │        │  └──│─┘        │     └──────────┘

touching:

 ┌────┐  │    │──────────┐  │    │          │  └────┘          │       └──────────┘

inside of 1 another:

  ┌──────────┐   │  ┌────┐  │   │  └────┘  │   └──────────┘

neither:

 ┌────┐  │    │  ┌──────────┐  │    │  │          │  └────┘  │          │          └──────────┘

well won't put code you, because it's not language specific problem, , because it's do. here's pointers:

you have 2 intervals on x axis, , 2 on y axis
it's known how determine if 2 intervals overlap. can determine whether 1 interval entirely inside other.
for squares overlap, there's simple condition need test for. think of is.
bonus: can work out overlap area well.

Ben