use core::scalar

### Mathematical

@name("Pi")
@url("https://en.wikipedia.org/wiki/Pi")
@aliases(pi)
let π = 3.14159265358979323846264338327950288

@name("Tau")
@url("https://en.wikipedia.org/wiki/Turn_(angle)#Tau_proposals")
@aliases(tau)
let τ = 2 π

@name("Euler's number")
@url("https://en.wikipedia.org/wiki/E_(mathematical_constant)")
let e = 2.71828182845904523536028747135266250

@name("Golden ratio")
@url("https://en.wikipedia.org/wiki/Golden_ratio")
@aliases(golden_ratio)
let φ = 1.61803398874989484820458683436563811

### Named numbers

#### Large numbers

@name("Hundred")
@url("https://en.wikipedia.org/wiki/100_(number)")
unit hundred = 100

@name("Thousand")
@url("https://en.wikipedia.org/wiki/1000_(number)")
unit thousand = 1_000

@name("Million")
@url("https://en.wikipedia.org/wiki/Million")
unit million = 1_000_000

@name("Billion")
@url("https://en.wikipedia.org/wiki/Billion")
unit billion = 10^9

@name("Trillion")
@url("https://en.wikipedia.org/wiki/Trillion")
unit trillion = 10^12

@name("Quadrillion")
@url("https://en.wikipedia.org/wiki/Quadrillion")
unit quadrillion = 10^15

@name("Quintillion")
@url("https://en.wikipedia.org/wiki/Quintillion")
unit quintillion = 10^18

@name("Googol")
@url("https://en.wikipedia.org/wiki/Googol")
let googol =  10^100

### Unicode fractions

@name("One half")
@url("https://en.wikipedia.org/wiki/One_half")
@aliases(half, semi)
let ½ = 1 / 2

let ⅓ = 1 / 3
let ⅔ = 2 / 3

@aliases(quarter)
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

#### Integers and colloquial names

@name("One")
@url("https://en.wikipedia.org/wiki/1")
let one = 1

@name("Two")
@url("https://en.wikipedia.org/wiki/2")
@aliases(double)
let two = 2

@name("Three")
@url("https://en.wikipedia.org/wiki/3")
@aliases(triple)
let three = 3

@name("Four")
@url("https://en.wikipedia.org/wiki/4")
@aliases(quadruple)
let four = 4

@name("Five")
@url("https://en.wikipedia.org/wiki/5")
let five = 5

@name("Six")
@url("https://en.wikipedia.org/wiki/6")
let six = 6

@name("Seven")
@url("https://en.wikipedia.org/wiki/7")
let seven = 7

@name("Eight")
@url("https://en.wikipedia.org/wiki/8")
let eight = 8

@name("Nine")
@url("https://en.wikipedia.org/wiki/9")
let nine = 9

@name("Ten")
@url("https://en.wikipedia.org/wiki/10")
let ten = 10

@name("Eleven")
@url("https://en.wikipedia.org/wiki/11")
let eleven = 11

@name("Twelve")
@url("https://en.wikipedia.org/wiki/12")
let twelve = 12

@name("Dozen")
@url("https://en.wikipedia.org/wiki/Dozen")
unit dozen = 12