//! An 8-bit unsigned integer.
let { Semigroup, Monoid, Group, Eq, Ord, Ordering, Num, Show } = import! std.prelude
let additive =
let semigroup : Semigroup Byte = {
append = \x y -> x #Byte+ y
}
let monoid : Monoid Byte = {
semigroup = semigroup,
empty = 0b,
}
let group : Group Byte = {
monoid = monoid,
inverse = \x -> 0b #Byte- x,
}
{ semigroup, monoid, group }
let multiplicative =
let semigroup : Semigroup Byte = {
append = \x y -> x #Byte* y
}
let monoid : Monoid Byte = {
semigroup = semigroup,
empty = 1b,
}
{ semigroup, monoid }
let eq : Eq Byte = {
(==) = \l r -> l #Byte== r
}
let ord : Ord Byte = {
eq = eq,
compare = \l r -> if l #Byte< r then LT else if l #Byte== r then EQ else GT,
}
let num : Num Byte = {
ord = ord,
(+) = additive.semigroup.append,
(-) = \l r -> l #Byte- r,
(*) = multiplicative.semigroup.append,
(/) = \l r -> l #Byte/ r,
negate = additive.group.inverse,
}
let show : Show Byte = {
show = (import! std.prim).show_byte
}
{
additive,
multiplicative,
eq,
ord,
num,
show,
..
import! std.byte.prim
}