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fix is_cyclic and topological_sort #284

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Jul 6, 2023
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33 changes: 17 additions & 16 deletions src/traversals/dfs.jl
Original file line number Diff line number Diff line change
Expand Up @@ -32,30 +32,30 @@ function is_cyclic end
end
# see https://github.com/mauro3/SimpleTraits.jl/issues/47#issuecomment-327880153 for syntax
@traitfn function is_cyclic(g::AG::IsDirected) where {T,AG<:AbstractGraph{T}}
# 0 if not visited, 1 if visited, 2 if in the current dfs path, 3 if fully explored
# 0 if not visited, 1 if in the current dfs path, 2 if fully explored
vcolor = zeros(UInt8, nv(g))
vertex_stack = Vector{T}()
for v in vertices(g)
vcolor[v] != 0 && continue
push!(vertex_stack, v)
vcolor[v] = 1
while !isempty(vertex_stack)
u = vertex_stack[end]
if vcolor[u] == 1
vcolor[u] = 2
if vcolor[u] == 0
vcolor[u] = 1
for n in outneighbors(g, u)
# we hit a loop when reaching back a vertex of the main path
if vcolor[n] == 2
if vcolor[n] == 1
return true
elseif vcolor[n] == 0
# we store neighbors, but these are not yet on the path
vcolor[n] = 1
push!(vertex_stack, n)
end
end
else
vcolor[u] = 3
pop!(vertex_stack)
if vcolor[u] == 1
vcolor[u] = 2
end
end
end
end
Expand Down Expand Up @@ -87,32 +87,33 @@ graph `g` as a vector of vertices in topological order.
function topological_sort_by_dfs end
# see https://github.com/mauro3/SimpleTraits.jl/issues/47#issuecomment-327880153 for syntax
@traitfn function topological_sort_by_dfs(g::AG::IsDirected) where {T,AG<:AbstractGraph{T}}
# 0 if not visited, 1 if visited, 2 if in the current dfs path, 3 if fully explored
# 0 if not visited, 1 if in the current dfs path, 2 if fully explored
vcolor = zeros(UInt8, nv(g))
verts = Vector{T}()
vertex_stack = Vector{T}()
for v in vertices(g)
vcolor[v] != 0 && continue
push!(vertex_stack, v)
vcolor[v] = 1
while !isempty(vertex_stack)
u = vertex_stack[end]
if vcolor[u] == 1
vcolor[u] = 2
if vcolor[u] == 0
vcolor[u] = 1
for n in outneighbors(g, u)
# we hit a loop when reaching back a vertex of the main path
if vcolor[n] == 2
if vcolor[n] == 1
error("The input graph contains at least one loop.") # TODO 0.7 should we use a different error?
elseif vcolor[n] == 0
# we store neighbors, but these are not yet on the path
vcolor[n] = 1
push!(vertex_stack, n)
end
end
else
vcolor[u] = 3
else
pop!(vertex_stack)
pushfirst!(verts, u)
# if vcolor[u] == 2, the vertex was already explored and added to verts
if vcolor[u] == 1
vcolor[u] = 2
pushfirst!(verts, u)
end
end
end
end
Expand Down
18 changes: 18 additions & 0 deletions test/traversals/dfs.jl
Original file line number Diff line number Diff line change
Expand Up @@ -23,6 +23,15 @@
0 0 0 1 0 0 0
],
)
# non regression test following https://github.com/JuliaGraphs/Graphs.jl/pull/266#issuecomment-1621698039
g6 = SimpleDiGraph(4)
add_edge!(g6, 1, 2)
add_edge!(g6, 2, 3)
add_edge!(g6, 2, 4)
add_edge!(g6, 4, 3)
g7 = copy(g6)
add_edge!(g7, 3, 4)

@testset "dfs_tree" begin
for g in testdigraphs(g5)
z = @inferred(dfs_tree(GenericDiGraph(g), 1))
Expand All @@ -45,6 +54,11 @@
@test @inferred(is_cyclic(g))
@test_throws ErrorException topological_sort(g)
end

# non regression test following https://github.com/JuliaGraphs/Graphs.jl/pull/266#issuecomment-1621698039
for g in testdigraphs(g6)
@test @inferred(topological_sort(g)) == [1, 2, 4, 3]
end
end

@testset "topological_sort_by_dfs" begin
Expand Down Expand Up @@ -84,5 +98,9 @@
for g in testgraphs(gloop_undirected)
@test @inferred(is_cyclic(g))
end
# non regression test following https://github.com/JuliaGraphs/Graphs.jl/pull/266#issuecomment-1621698039
for g in testdigraphs(g7)
@test @inferred(is_cyclic(g))
end
end
end