Helper types for groups

AddToMul{T}

A wrapper to turn an additive group structure defined for the type T into a multiplicative structure.

Examples

julia> x, y = AddToMul(2), AddToMul(3)
(2, 3)

julia> x*y
5

julia> x^2
4

julia> inv(x)
-2

julia> x/y
-1

julia> one(x)
0

Lattice{N} <: AbstractVector{Int}

Lattice(t::NTuple{N,Integer}) where N -> Lattice{N}
Lattice(x::Integer...) -> Lattice

A type representing elements in a lattice (free abelian group) of rank N.

See also Tuple(::Lattice).

Examples

julia> x, y = Lattice(1, 2, 3), Lattice(0, -1, 5)
((1, 2, 3), (0, -1, 5))

julia> x+y, x-y
((1, 1, 8), (1, 3, -2))

julia> 2*x
(2, 4, 6)

julia> zero(x)
(0, 0, 0)

julia> length(x)
3

julia> y[2]
-1

julia> a, z... = x; z
(2, 3)

Tuple(g::Lattice{N}) where N -> NTuple{N,Int}

Return the lattice element as a tuple of integers.