Graphs

Currently only the square lattice is implemented

Square lattice

Create a square lattice with periodic or open boundary conditions:

julia> 	using LatticeModels
julia> 	lato = SQLattice_open{Int}(5,5)5×5 SQLattice_open{Int64}:
               3                5  …  139974786229392               10
               3  139974786229072                   9               10
 139974786228944  139974786229136                   9  139974786229584
 139974786229008                6     139974786229456  139974786229648
               4                6     139974786229520  139972984176641
julia> 	latp = SQLattice_periodic{Int}(5,5)5×5 SQLattice_periodic{Int64}:
 139974822420488  139974822420488  …  139974822420488  139974822420488
 139974822420488  139974822420488     139974822420488  139974822420488
 139974822420488  139974822420488     139974822420488  139974822420488
 139974822420488  139974822420488     139974822420488  139974822420488
 139974822420488  139974822420488     139974822420488  139974822420488

Index with integers, CartesianIndex or with a Site object. The latter knows about boundary conditions and lattice topology.

julia> 	lato .= reshape(1:length(lato),size(lato))5×5 SQLattice_open{Int64}:
 1   6  11  16  21
 2   7  12  17  22
 3   8  13  18  23
 4   9  14  19  24
 5  10  15  20  25
julia> 	latp .= reshape(1:length(lato),size(latp))5×5 SQLattice_periodic{Int64}:
 1   6  11  16  21
 2   7  12  17  22
 3   8  13  18  23
 4   9  14  19  24
 5  10  15  20  25
julia> 	lato[1,1] + latp[1,1]2
julia> 	I = SQLattice_site(lato,1,1)SQLattice_site{SQLattice_open{Int64}}([1 6 … 16 21; 2 7 … 17 22; … ; 4 9 … 19 24; 5 10 … 20 25], CartesianIndex(1, 1))
julia> 	J = SQLattice_site(latp,1,1)SQLattice_site{SQLattice_periodic{Int64}}([1 6 … 16 21; 2 7 … 17 22; … ; 4 9 … 19 24; 5 10 … 20 25], CartesianIndex(1, 1))
julia> 	foreach_neighbour(I) do s println(s) end2
6
julia> 	foreach_neighbour(J) do s println(s) end5
2
21
6