|
| 1 | +module DaggerGraphs |
| 2 | + |
| 3 | +using Dagger |
| 4 | +import Dagger: Chunk |
| 5 | +using Graphs |
| 6 | + |
| 7 | +export DGraph |
| 8 | + |
| 9 | +const ELTYPE = Union{Dagger.EagerThunk, Chunk} |
| 10 | + |
| 11 | +struct DGraphState{T} |
| 12 | + # A set of locally-connected SimpleDiGraphs |
| 13 | + parts::Vector{ELTYPE} |
| 14 | + # The range of vertices within each of `parts` |
| 15 | + parts_nv::Vector{UnitRange{T}} |
| 16 | + # The number of edges in each of `parts` |
| 17 | + parts_ne::Vector{T} |
| 18 | + # The maximum number of nodes for each of `parts` |
| 19 | + parts_v_max::Int |
| 20 | + |
| 21 | + # A set of `AdjList` for each of `parts` |
| 22 | + # An edge is present here if either src or dst (but not both) is in |
| 23 | + # the respective `parts` graph |
| 24 | + ext_adjs::Vector{ELTYPE} |
| 25 | + # The number of edges in each of `ext_adjs` |
| 26 | + ext_adjs_ne::Vector{T} |
| 27 | + # The number of edges in each of `ext_adjs` where the source is this partition |
| 28 | + ext_adjs_ne_src::Vector{T} |
| 29 | +end |
| 30 | +struct DGraph{T} <: Graphs.AbstractGraph{T} |
| 31 | + state::Dagger.Chunk{DGraphState{T}} |
| 32 | +end |
| 33 | +function DGraph{T}(; chunksize=8) where {T} |
| 34 | + state = DGraphState{T}(ELTYPE[], |
| 35 | + UnitRange{T}[], |
| 36 | + T[], |
| 37 | + chunksize, |
| 38 | + ELTYPE[], |
| 39 | + T[], |
| 40 | + T[]) |
| 41 | + return DGraph{T}(Dagger.tochunk(state)) |
| 42 | +end |
| 43 | +DGraph(; kwargs...) = DGraph{Int}(; kwargs...) |
| 44 | + |
| 45 | +Base.eltype(::DGraph{T}) where T = T |
| 46 | +Graphs.edgetype(::DGraph{T}) where T = Tuple{T,T} |
| 47 | +Graphs.nv(g::DGraph) = fetch(Dagger.@spawn nv(g.state)) |
| 48 | +function Graphs.nv(g::DGraphState) |
| 49 | + if !isempty(g.parts_nv) |
| 50 | + return last(g.parts_nv).stop |
| 51 | + else |
| 52 | + return 0 |
| 53 | + end |
| 54 | +end |
| 55 | +Graphs.ne(g::DGraph) = fetch(Dagger.@spawn ne(g.state)) |
| 56 | +Graphs.ne(g::DGraphState) = sum(g.parts_ne; init=0) + sum(g.ext_adjs_ne_src; init=0) |
| 57 | +Graphs.has_vertex(g::DGraph, v::Int) = 1 <= v <= nv(g) |
| 58 | +Graphs.has_edge(g::DGraph, src::Int, dst::Int) = |
| 59 | + fetch(Dagger.@spawn has_edge(g.state, src, dst)) |
| 60 | +function Graphs.has_edge(g::DGraphState, src::Int, dst::Int) |
| 61 | + src_part_idx = findfirst(span->src in span, g.parts_nv) |
| 62 | + src_part_idx !== nothing || return false |
| 63 | + dst_part_idx = findfirst(span->dst in span, g.parts_nv) |
| 64 | + dst_part_idx !== nothing || return false |
| 65 | + |
| 66 | + if src_part_idx == dst_part_idx |
| 67 | + # The edge will be within a graph partition |
| 68 | + part = g.parts[src_part_idx] |
| 69 | + return fetch(Dagger.@spawn has_edge(part, src, dst)) |
| 70 | + else |
| 71 | + # The edge will be in an AdjList |
| 72 | + adj = g.ext_adjs[src_part_idx] |
| 73 | + return fetch(Dagger.@spawn has_ext_adj(adj, src, dst)) |
| 74 | + end |
| 75 | +end |
| 76 | +Graphs.is_directed(::DGraph) = true |
| 77 | +Graphs.vertices(g::DGraph) = Base.OneTo(nv(g)) |
| 78 | +Graphs.edges(g::DGraph) = DGraphEdgeIter(g) |
| 79 | +Graphs.zero(::Type{<:DGraph}) = DGraph() |
| 80 | +Graphs.add_vertex!(g::DGraph) = fetch(Dagger.@spawn add_vertex!(g.state)) |
| 81 | +function Graphs.add_vertex!(g::DGraphState) |
| 82 | + n = nv(g) |
| 83 | + if fld(n, g.parts_v_max) == length(g.parts) |
| 84 | + # We need to create a new partition for this vertex |
| 85 | + push!(g.parts, Dagger.spawn() do |
| 86 | + g = SimpleDiGraph() |
| 87 | + add_vertex!(g) |
| 88 | + g |
| 89 | + end) |
| 90 | + push!(g.parts_nv, (n+1):(n+1)) |
| 91 | + push!(g.parts_ne, 0) |
| 92 | + push!(g.ext_adjs, Dagger.@spawn AdjList()) |
| 93 | + push!(g.ext_adjs_ne, 0) |
| 94 | + push!(g.ext_adjs_ne_src, 0) |
| 95 | + else |
| 96 | + # We will add this vertex to the last partition |
| 97 | + part = last(g.parts) |
| 98 | + fetch(Dagger.@spawn add_vertex!(part)) |
| 99 | + span = g.parts_nv[end] |
| 100 | + g.parts_nv[end] = UnitRange{Int}(span.start, span.stop+1) |
| 101 | + end |
| 102 | + return true |
| 103 | +end |
| 104 | +Graphs.add_edge!(g::DGraph, src::Int, dst::Int) = |
| 105 | + fetch(Dagger.@spawn add_edge!(g.state, src, dst)) |
| 106 | +function Graphs.add_edge!(g::DGraphState, src::Int, dst::Int) |
| 107 | + src_part_idx = findfirst(span->src in span, g.parts_nv) |
| 108 | + @assert src_part_idx !== nothing "Source vertex $src does not exist" |
| 109 | + |
| 110 | + dst_part_idx = findfirst(span->dst in span, g.parts_nv) |
| 111 | + @assert dst_part_idx !== nothing "Destination vertex $dst does not exist" |
| 112 | + |
| 113 | + if src_part_idx == dst_part_idx |
| 114 | + # Edge exists within a single partition |
| 115 | + part = g.parts[src_part_idx] |
| 116 | + if fetch(Dagger.@spawn add_edge!(part, src, dst)) |
| 117 | + g.parts_ne[src_part_idx] += 1 |
| 118 | + else |
| 119 | + return false |
| 120 | + end |
| 121 | + else |
| 122 | + # Edge spans two partitions |
| 123 | + src_ext_adj = g.ext_adjs[src_part_idx] |
| 124 | + dst_ext_adj = g.ext_adjs[dst_part_idx] |
| 125 | + if !fetch(Dagger.@spawn add_ext_adj!(src_ext_adj, src, dst)) |
| 126 | + return false |
| 127 | + end |
| 128 | + fetch(Dagger.@spawn add_ext_adj!(dst_ext_adj, src, dst)) |
| 129 | + g.ext_adjs_ne_src[src_part_idx] += 1 |
| 130 | + g.ext_adjs_ne[src_part_idx] += 1 |
| 131 | + g.ext_adjs_ne[dst_part_idx] += 1 |
| 132 | + end |
| 133 | + |
| 134 | + return true |
| 135 | +end |
| 136 | + |
| 137 | +struct AdjList{T} |
| 138 | + adj::Vector{Tuple{T,T}} |
| 139 | +end |
| 140 | +AdjList() = AdjList{Int}(Tuple{Int,Int}[]) |
| 141 | +function has_ext_adj(adj::AdjList, src::Int, dst::Int) |
| 142 | + idx = findfirst(edge->edge[1] == src && edge[2] == dst, adj.adj) |
| 143 | + if idx !== nothing |
| 144 | + return true |
| 145 | + end |
| 146 | + return false |
| 147 | +end |
| 148 | +function add_ext_adj!(adj::AdjList, src::Int, dst::Int) |
| 149 | + if has_ext_adj(adj, src, dst) |
| 150 | + return false |
| 151 | + end |
| 152 | + push!(adj.adj, (src, dst)) |
| 153 | + return true |
| 154 | +end |
| 155 | +Graphs.edges(adj::AdjList) = adj.adj |
| 156 | + |
| 157 | +struct DGraphEdgeIter{T} <: Graphs.AbstractEdgeIter |
| 158 | + graph::DGraphState{T} |
| 159 | +end |
| 160 | +DGraphEdgeIter(g::DGraph) = DGraphEdgeIter(fetch(g.state)) |
| 161 | +struct DGraphEdgeIterState |
| 162 | + adj::Bool |
| 163 | + part::Int |
| 164 | + idx::Int |
| 165 | + cache::Any |
| 166 | +end |
| 167 | +Base.length(iter::DGraphEdgeIter) = ne(iter.graph) |
| 168 | +Base.eltype(iter::DGraphEdgeIter{T}) where T = Tuple{T,T} |
| 169 | +function Base.iterate(iter::DGraphEdgeIter) |
| 170 | + g = iter.graph |
| 171 | + if nv(g) == 0 |
| 172 | + return nothing |
| 173 | + elseif sum(g.parts_ne; init=0) > 0 |
| 174 | + # Start with partitions |
| 175 | + return iterate(iter, DGraphEdgeIterState(false, 1, 1, nothing)) |
| 176 | + elseif sum(g.ext_adjs_ne_src; init=0) > 0 |
| 177 | + # Start with external AdjLists |
| 178 | + return iterate(iter, DGraphEdgeIterState(true, 1, 1, nothing)) |
| 179 | + else |
| 180 | + return nothing |
| 181 | + end |
| 182 | +end |
| 183 | +function Base.iterate(iter::DGraphEdgeIter{T}, state::DGraphEdgeIterState) where {T} |
| 184 | + g = iter.graph |
| 185 | + adj = state.adj |
| 186 | + part = state.part |
| 187 | + idx = state.idx |
| 188 | + cache = state.cache |
| 189 | + |
| 190 | + @label start |
| 191 | + if !adj |
| 192 | + if part > length(g.parts) |
| 193 | + # Restart with external AdjLists |
| 194 | + return iterate(iter, DGraphEdgeIterState(true, 1, 1, nothing)) |
| 195 | + end |
| 196 | + if cache === nothing |
| 197 | + cache = map(Tuple, fetch(Dagger.@spawn edges(g.parts[part]))) |
| 198 | + end |
| 199 | + else |
| 200 | + if part > length(g.ext_adjs) |
| 201 | + # All done! |
| 202 | + return nothing |
| 203 | + end |
| 204 | + if cache === nothing |
| 205 | + cache = fetch(Dagger.@spawn edges(g.ext_adjs[part])) |
| 206 | + end |
| 207 | + end |
| 208 | + cache::Vector{<:Tuple} |
| 209 | + |
| 210 | + # Skip empty edge sets |
| 211 | + if isempty(cache) |
| 212 | + part += 1 |
| 213 | + idx = 1 |
| 214 | + cache = nothing |
| 215 | + @goto start |
| 216 | + end |
| 217 | + cache::Vector{Tuple{T,T}} |
| 218 | + |
| 219 | + # Get the current edge |
| 220 | + value = cache[idx] |
| 221 | + idx += 1 |
| 222 | + cur_part = part |
| 223 | + |
| 224 | + # Reset if this partition/AdjList is exhausted |
| 225 | + if idx > length(cache) |
| 226 | + part += 1 |
| 227 | + idx = 1 |
| 228 | + cache = nothing |
| 229 | + end |
| 230 | + |
| 231 | + # Restart if this edge isn't "owned" by this AdjList |
| 232 | + if adj && !(value[1] in g.parts_nv[cur_part]) |
| 233 | + @goto start |
| 234 | + end |
| 235 | + |
| 236 | + return (value, DGraphEdgeIterState(adj, part, idx, cache)) |
| 237 | +end |
| 238 | + |
| 239 | +end # module DaggerGraphs |
0 commit comments