Number accuracy
This post is incomplete, a revised post will unify my findings once I have time to do so.
This post is a direct follow up of ‘Number limits’ covers the accuracy which C-derived compilers have.
While the initial outlook on this problem was rather hopeless considering it was ‘part of the interpreter’, some relief can be found when using the standard Math rounding methods in their varying capacity. For this set of data, I am using the same set of code snippets with the modified intention to use each method.
For those wondering if this problem repeats in negative numbers… the short answer is yes.
It’s blinding… I know, I’m sorry… 😢
| {i} | js | py | cs | rs |
|---|---|---|---|---|
| -20 | 0 | 0 | 0 | 0 |
| -19 | 0 | -1 | -1 | -1 |
| -18 | 0 | 0 | 0 | 0 |
| -17 | 0 | 0 | 0 | -1 |
| -16 | -1 | -1 | -1 | -1 |
| -15 | 2 | -1 | -1 | -2 |
| -14 | 1 | 1 | 1 | 1 |
| -13 | 1 | 1 | 1 | 0 |
| -12 | 0 | 0 | 0 | 0 |
| -11 | 1 | 0 | 0 | 0 |
| -10 | 0 | 0 | 0 | 0 |
| -9 | 0 | 0 | 0 | -1 |
| -8 | 0 | 0 | 0 | 0 |
| -7 | 0 | -1 | -1 | -1 |
| -6 | -1 | -1 | -1 | -1 |
| -5 | 2 | 1 | 1 | -2 |
| -4 | 1 | 1 | 1 | 1 |
| -3 | 1 | 0 | 0 | 0 |
| -2 | 0 | 0 | 0 | 0 |
| -1 | 1 | 1 | 1 | 0 |
| 0 | 0 | 0 | 0 | 0 |
| 1 | 0 | -1 | -1 | 0 |
| 2 | 0 | 0 | 0 | 0 |
| 3 | 0 | 0 | 0 | 0 |
| 4 | -1 | -1 | -1 | -1 |
| 5 | 2 | -1 | -1 | 2 |
| 6 | 1 | 1 | 1 | 1 |
| 7 | 1 | 1 | 1 | 1 |
| 8 | 0 | 0 | 0 | 0 |
| 9 | 1 | 0 | 0 | 1 |
| 10 | 0 | 0 | 0 | 0 |
| 11 | 0 | 0 | 0 | 0 |
| 12 | 0 | 0 | 0 | 0 |
| 13 | 0 | -1 | -1 | 0 |
| 14 | -1 | -1 | -1 | -1 |
| 15 | 2 | 1 | 1 | 2 |
| 16 | 1 | 1 | 1 | 1 |
| 17 | 1 | 0 | 0 | 1 |
| 18 | 0 | 0 | 0 | 0 |
| 19 | 1 | 1 | 1 | 1 |
| 20 | 0 | 0 | 0 | 0 |
| 21 | 0 | -1 | -1 | 0 |
| 22 | 0 | 0 | 0 | 0 |
| 23 | 0 | 0 | 0 | 0 |
| 24 | -1 | -1 | -1 | -1 |
| 25 | 2 | -1 | -1 | 2 |
| 26 | 1 | 1 | 1 | 1 |
| 27 | 1 | 1 | 1 | 1 |
| 28 | 0 | 0 | 0 | 0 |
| 29 | 1 | 0 | 0 | 1 |
| 30 | 0 | 0 | 0 | 0 |
| 31 | 0 | 0 | 0 | 0 |
| 32 | 0 | 0 | 0 | 0 |
| 33 | 0 | -1 | -1 | 0 |
| 34 | -1 | -1 | -1 | -1 |
| 35 | 2 | 1 | 1 | 2 |
| 36 | 1 | 1 | 1 | 1 |
| 37 | 1 | 0 | 0 | 1 |
| 38 | 0 | 0 | 0 | 0 |
| 39 | 1 | 1 | 1 | 1 |
| 40 | 0 | 0 | 0 | 0 |
Using
floororceilin respective languages results in the same values being returned.
With that being said, Python and C# have identical iteration differences… and Rust is just as unreliable as JavaScript when it comes to negative numbers (with a very rare occurrence where they cross paths). The solution (or workaround in this case) for needing {x} roles for equivalent quantity of players, use ceil and slice the array down, so that you don’t have to figure out what else needs to be added.
Shared Patterns
Using whole numbers only.
| Digit | js | py | cs | rs |
|---|---|---|---|---|
| 0 | 0 | 0 | 0 | 0 |
| 1 | 0 | -1 | -1 | 0 |
| 2 | 0 | 0 | 0 | 0 |
| 3 | 0 | 0 | 0 | 0 |
| 4 | -1 | -1 | -1 | -1 |
| 5 | 2 | -1 | -1 | 2 |
| 6 | 1 | 1 | 1 | 1 |
| 7 | 1 | 1 | 1 | 1 |
| 8 | 0 | 0 | 0 | 0 |
| 9 | 1 | 0 | 0 | 1 |
Spreadsheet used to render graphs
You can follow along with what I do on TinkerStorm’s Discord.
And with that… Merry Christmas / Happy Holidays to you reader and a Happy New Year! 🎄 🎆