numbat/modules/math/constants.nbt

use core::scalar
use math::functions

### Mathematical constants

let pi = 3.14159265358979323846264338327950288
let π = pi
let τ = 2 π
let e = 2.71828182845904523536028747135266250
let φ = (1 + sqrt(5)) / 2
let golden_ratio = φ

### Named numbers

let hundred =  100
let thousand =  1_000
let million =  1_000_000
let billion =  10^9
let trillion =  10^12
let quadrillion =  10^15
let quintillion =  10^18

let quarter = 1 / 4
let semi = 1 / 2
let double = 2
let triple = 3

let googol =  10^100

### Fractions

let ½ = 1 / 2

let ⅓ = 1 / 3
let ⅔ = 2 / 3

let ¼ = 1 / 4
let ¾ = 3 / 4

let ⅕ = 1 / 5
let ⅖ = 2 / 5
let ⅗ = 3 / 5
let ⅘ = 4 / 5

let ⅙ = 1 / 6
let ⅚ = 5 / 6

let ⅐ = 1 / 7

let ⅛ = 1 / 8
let ⅜ = 3 / 8
let ⅝ = 5 / 8
let ⅞ = 7 / 8

let ⅑ = 1 / 9

let ⅒ = 1 / 10