Python for (Nuke) Compers 0x18 - to infinity and wait.. what?
a summary of NaN/inf maths i ran through
Note: I may not have this 100% right, please use your judgement and verify anything that seems off or even seems logical.
the basics
- 1/0 = inf –> large numbers
- 0/0 = nan –> nonsensical numbers (‘penguin’)
nan maths
| what you try | what you get | (& why) |
|---|---|---|
| nan and anything | nan | if it invovles a nan, it’ll be a nan. |
inf maths
| what you try | what you get | (& why) |
|---|---|---|
| inf + 1 | inf | big + 1 is still big |
| inf - 1 | inf | big - 1 is still big |
| inf + inf | inf | yep. Still big |
| -inf - inf | -inf | yep. Still big. but negative |
| inf - inf | nan | If the first inf was bigger, this would be positive. If the second inf was bigger, it’d be negative. (ノ°Д°)ノ︵ ┻━━┻ |
| inf * -1 | -inf | sure, let’s flip it to be negative. This is fine. |
| 3 * inf | inf | this is (inf + inf + inf) which is (inf + inf) which is (inf) and well, you get the idea |
| inf * 3 | inf | this is the same as above, multiplication doesn’t mind the order |
| inf * inf | inf | this is the same as above, just taken to (har har) infinity |
| inf * -inf | -inf | this is basically (inf * inf * -1) which is (inf * -1) |
| 1 / inf | 0 | anything divided by a huge amount approximates zero… |
| inf / 2 | inf | half of infinity is still kinda large |
| inf / 0 | inf | and anything divided by zero is also going to be huuuge |
| inf * 0 | nan | …but zero lots of infinity is.. weird (see: limit maths) |
| inf * inf | nan | and an infinite amount of infinity is.. weird |
Here’s a way to make silly values!
here’s the nukescript (7kb)
