Little Twelve Toes

Extending Elixir to support base-12 numbering

Transcript

1. Little Twelve-Toes Extending Elixir to Support Base-12 Numbers
2. Little who?
6. If only this had been the norm…
7. Better??
8. Yes!
9. 10 = 5 * 2
10. 10 = 5 * 2 12 = 3 * 2 * 2
11. 10 = 5 * 2 12 = 3 * 2 * 2 = 3 * 4 = 2 * 6
12. 1,2,3,4,5,6,7,8,9,X,E, 10,11,12,13,14,15,16,17,18,19,1X, 1E,20
13. But this is kinda… uncomfortable, isn’t it?
14. Yeah, because the English language is base-10 also…
15. Solution: a new language for numbers
16. 0..9 : The same 10 : X (pronounced ‘dec’) 11 : E (pronounced ‘el’) 12 : 10 (pronounced ‘do’)
17. 13: 11 (do one) 14 :12 (do two) etc.. 24 : 20 (two do)
18. 10: do 100: gro 1000: mo 10000: do-mo
19. Now we can say: 32X7 is “three mo two gro dec do seven”
20. Now we can say: 32X7 is “three mo two gro dec do seven” Easy peasy…
21. What’s this gotta do with Elixir?
22. Well, I got to wondering, how extensible is Elixir?
23. Introducing: Dozenex (https://github.com/cameronp/ dozenex)
24. In an ideal world: Decimal: 15 Hex: 0x0F Dozenal: 0d13
25. Unfortunately… it doesn’t look like you can add new number formats
26. Compromise: Sigils!
27. def sigil_d(s, []), do: s |> String.split(".") |> _construct def _construct([w]), do: w |> Dozenex.Integer. construct
28. iex(2)> ~d(13E) %Dozenex.Integer{digits: [1, 3, 11]} iex(3)>
29. defimpl String.Chars, for: Dozenex.Integer do def to_string(%Dozenex.Integer{digits: digits}) , do: digits |> Dozenex.Integer. _convert_to_char_list |> Kernel.to_string end defimpl Inspect, for: Dozenex.Integer do def inspect(di, _opts), do: "~d(#{di})" end
30. iex(2)> ~d(13E) ~d(13E) iex(3)>
31. iex(6)> ~d(13E) |> Dozenex.Math.add(~d(22X)) ~d(369)
32. iex(7)> ~d(13E) |> Dozenex.to_doz_words "one gro three do el"
33. Ok, what’s missing?
34. NYI • Infix operators for +, -, *, /, and ..
35. NYI • Infix operators for +, -, *, /, and .. • Floating point support
36. NYI • Infix operators for +, -, *, /, and .. • Floating point support • Mixed Dozenal / Decimal math
37. PR’s welcome! (cameronp/ dozenex)
38. Learn more: • http://dozenal.org/ (The Dozenal Society of America) • https://en.wikipedia.org/wiki/Duodecimal • https://en.wikipedia.org/wiki/Decimal#Other_bases
39. Thanks! I am cameronp on github, twitter, medium, gmail, and the elixir slack team.