build devShells.x86_64-linux.ghc984
1431.25 s
[algebraic-graphs] OK: size x >= 1
1431.25 s
[algebraic-graphs] OK: size x >= vertexCount x
1431.25 s
[algebraic-graphs]
1431.25 s
[algebraic-graphs] ============ Labelled.Graph.hasVertex ============
1431.25 s
[algebraic-graphs] OK: hasVertex x empty == False
1431.25 s
[algebraic-graphs] OK: hasVertex x (vertex y) == (x == y)
1431.25 s
[algebraic-graphs] OK: hasVertex x . removeVertex x == const False
1431.25 s
[algebraic-graphs]
1431.25 s
[algebraic-graphs] ============ Labelled.Graph.hasEdge ============
1431.25 s
[algebraic-graphs] OK: hasEdge x y empty == False
1431.25 s
[algebraic-graphs] OK: hasEdge x y (vertex z) == False
1431.25 s
[algebraic-graphs] OK: hasEdge x y (edge e x y) == (e /= zero)
1431.25 s
[algebraic-graphs] OK: hasEdge x y . removeEdge x y == const False
1431.25 s
[algebraic-graphs] OK: hasEdge x y == not . null . filter (\(_,ex,ey) -> ex == x && ey == y) . edgeList
1431.25 s
[algebraic-graphs]
1431.25 s
[algebraic-graphs] ============ Labelled.Graph.edgeLabel ============
1431.25 s
[algebraic-graphs] OK: edgeLabel x y empty == zero
1431.25 s
[algebraic-graphs] OK: edgeLabel x y (vertex z) == zero
1431.25 s
[algebraic-graphs] OK: edgeLabel x y (edge e x y) == e
1431.25 s
[algebraic-graphs] OK: edgeLabel s t (overlay x y) == edgeLabel s t x + edgeLabel s t y
1431.25 s
[algebraic-graphs]
1431.25 s
[algebraic-graphs] ============ Labelled.Graph.vertexCount ============
1431.25 s
[algebraic-graphs] OK: vertexCount empty == 0
1431.25 s
[algebraic-graphs] OK: vertexCount (vertex x) == 1
1431.25 s
[algebraic-graphs] OK: vertexCount == length . vertexList
1431.25 s
[algebraic-graphs] OK: vertexCount x < vertexCount y ==> x < y
1431.25 s
[algebraic-graphs]
1431.25 s
[algebraic-graphs] ============ Labelled.Graph.edgeCount ============
1431.25 s
[algebraic-graphs] OK: edgeCount empty == 0
1431.25 s
[algebraic-graphs] OK: edgeCount (vertex x) == 0
1431.25 s
[algebraic-graphs] OK: edgeCount (edge e x y) == if e == zero then 0 else 1
1431.25 s
[algebraic-graphs] OK: edgeCount == length . edgeList
1431.25 s
[algebraic-graphs]
1431.25 s
[algebraic-graphs] ============ Labelled.Graph.vertexList ============
1431.25 s
[algebraic-graphs] OK: vertexList empty == []
1431.25 s
[algebraic-graphs] OK: vertexList (vertex x) == [x]
1431.25 s
[algebraic-graphs] OK: vertexList . vertices == nub . sort
1431.25 s
[algebraic-graphs]
1431.25 s
[algebraic-graphs] ============ Labelled.Graph.edgeList ============
1431.25 s
[algebraic-graphs] OK: edgeList empty == []
1431.25 s
[algebraic-graphs] OK: edgeList (vertex x) == []
1431.25 s
[algebraic-graphs] OK: edgeList (edge e x y) == if e == zero then [] else [(e,x,y)]
1431.25 s
[algebraic-graphs]
1431.25 s
[algebraic-graphs] ============ Labelled.Graph.vertexSet ============
1431.25 s
[algebraic-graphs] OK: vertexSet empty == Set.empty
1431.25 s
[algebraic-graphs] OK: vertexSet . vertex == Set.singleton
1431.25 s
[algebraic-graphs] OK: vertexSet . vertices == Set.fromList
1431.25 s
[algebraic-graphs]
1431.25 s
[algebraic-graphs] ============ Labelled.Graph.edgeSet ============
1431.25 s
[algebraic-graphs] OK: edgeSet empty == Set.empty
1431.25 s
[algebraic-graphs] OK: edgeSet (vertex x) == Set.empty
1431.25 s
[algebraic-graphs] OK: edgeSet (edge e x y) == if e == zero then Set.empty else Set.singleton (e,x,y)
1431.25 s
[algebraic-graphs]
1431.25 s
[algebraic-graphs] ============ Labelled.Graph.preSet ============
1431.25 s
[algebraic-graphs] OK: preSet x empty == Set.empty
1431.25 s
[algebraic-graphs] OK: preSet x (vertex x) == Set.empty
1433.92 s
[algebraic-graphs] OK: preSet 1 (edge e 1 2) == Set.empty
1433.97 s
[algebraic-graphs] OK: preSet y (edge e x y) == if e == zero then Set.empty else Set.fromList [x]
1433.97 s
[algebraic-graphs]
1433.97 s
[algebraic-graphs] ============ Labelled.Graph.postSet ============
1433.97 s
[algebraic-graphs] OK: postSet x empty == Set.empty
1433.97 s
[algebraic-graphs] OK: postSet x (vertex x) == Set.empty
1433.97 s
[algebraic-graphs] OK: postSet x (edge e x y) == if e == zero then Set.empty else Set.fromList [y]
1433.97 s
[algebraic-graphs] OK: postSet 2 (edge e 1 2) == Set.empty
1433.97 s
[algebraic-graphs]
1433.97 s
[algebraic-graphs] ============ Labelled.Graph.removeVertex ============
1433.97 s
[algebraic-graphs] OK: removeVertex x (vertex x) == empty
1433.97 s
[algebraic-graphs] OK: removeVertex 1 (vertex 2) == vertex 2
1433.97 s
[algebraic-graphs] OK: removeVertex x (edge e x x) == empty
1433.97 s
[algebraic-graphs] OK: removeVertex 1 (edge e 1 2) == vertex 2
1433.97 s
[algebraic-graphs] OK: removeVertex x . removeVertex x == removeVertex x
1433.97 s
[algebraic-graphs]
1433.97 s
[algebraic-graphs] ============ Labelled.Graph.removeEdge ============
1433.97 s
[algebraic-graphs] OK: removeEdge x y (edge e x y) == vertices [x,y]
1433.97 s
[algebraic-graphs] OK: removeEdge x y . removeEdge x y == removeEdge x y
1433.97 s
[algebraic-graphs] OK: removeEdge x y . removeVertex x == removeVertex x
1433.97 s
[algebraic-graphs] OK: removeEdge 1 1 (1 * 1 * 2 * 2) == 1 * 2 * 2
1433.97 s
[algebraic-graphs] OK: removeEdge 1 2 (1 * 1 * 2 * 2) == 1 * 1 + 2 * 2
1433.97 s
[algebraic-graphs]
1433.97 s
[algebraic-graphs] ============ Labelled.Graph.replaceVertex ============
1433.97 s
[algebraic-graphs] OK: replaceVertex x x == id
1433.97 s
[algebraic-graphs] OK: replaceVertex x y (vertex x) == vertex y
1433.97 s
[algebraic-graphs] OK: replaceVertex x y == fmap (\v -> if v == x then y else v)
1433.97 s
[algebraic-graphs]
1433.97 s
[algebraic-graphs] ============ Labelled.Graph.replaceEdge ============
1433.97 s
[algebraic-graphs] OK: replaceEdge e x y z == overlay (removeEdge x y z) (edge e x y)
1433.97 s
[algebraic-graphs] OK: replaceEdge e x y (edge f x y) == edge e x y
1433.97 s
[algebraic-graphs] OK: edgeLabel x y (replaceEdge e x y z) == e
1433.97 s
[algebraic-graphs]
1433.97 s
[algebraic-graphs] ============ Labelled.Graph.transpose ============
1433.97 s
[algebraic-graphs] OK: transpose empty == empty
1433.97 s
[algebraic-graphs] OK: transpose (vertex x) == vertex x
1433.97 s
[algebraic-graphs] OK: transpose (edge e x y) == edge e y x
1433.97 s
[algebraic-graphs] OK: transpose . transpose == id
1433.97 s
[algebraic-graphs]
1433.97 s
[algebraic-graphs] ============ Labelled.Graph.fmap ============
1433.97 s
[algebraic-graphs] OK: fmap f empty == empty
1433.97 s
[algebraic-graphs] OK: fmap f (vertex x) == vertex (f x)
1433.97 s
[algebraic-graphs] OK: fmap f (edge e x y) == edge e (f x) (f y)
1433.97 s
[algebraic-graphs] OK: fmap id == id
1433.97 s
[algebraic-graphs] OK: fmap f . fmap g == fmap (f . g)
1433.97 s
[algebraic-graphs]
1433.97 s
[algebraic-graphs] ============ Labelled.Graph.emap ============
1433.97 s
[algebraic-graphs] OK: emap h empty == empty
1433.97 s
[algebraic-graphs] OK: emap h (vertex x) == vertex x
1433.97 s
[algebraic-graphs] OK: emap h (edge e x y) == edge (h e) x y
1433.97 s
[algebraic-graphs] OK: emap h (overlay x y) == overlay (emap h x) (emap h y)
1433.97 s
[algebraic-graphs] OK: emap h (connect e x y) == connect (h e) (emap h x) (emap h y)
1433.97 s
[algebraic-graphs] OK: emap id == id
1433.97 s
[algebraic-graphs] OK: emap g . emap h == emap (g . h)
1433.97 s
[algebraic-graphs]
1433.97 s
[algebraic-graphs] ============ Labelled.Graph.induce ============
1433.97 s
[algebraic-graphs] OK: induce (const True ) x == x
1433.97 s
[algebraic-graphs] OK: induce (const False) x == empty
1433.97 s
[algebraic-graphs] OK: induce (/= x) == removeVertex x
1433.97 s
[algebraic-graphs] OK: induce p . induce q == induce (\x -> p x && q x)
1433.97 s
[algebraic-graphs] OK: isSubgraphOf (induce p x) x == True
1433.97 s
[algebraic-graphs]
1433.97 s
[algebraic-graphs] ============ Labelled.Graph.induceJust ============
1433.97 s
[algebraic-graphs] OK: induceJust (vertex Nothing) == empty
1433.97 s
[algebraic-graphs] OK: induceJust (edge (Just x) Nothing) == vertex x
1433.97 s
[algebraic-graphs] OK: induceJust . gmap Just == id
1433.97 s
[algebraic-graphs] OK: induceJust . gmap (\x -> if p x then Just x else Nothing) == induce p
1433.97 s
[algebraic-graphs]
1433.97 s
[algebraic-graphs] ============ Labelled.Graph.closure ============
1433.97 s
[algebraic-graphs] OK: closure empty == empty
1433.97 s
[algebraic-graphs] OK: closure (vertex x) == edge one x x
1433.97 s
[algebraic-graphs] OK: closure (edge e x x) == edge one x x
1433.97 s
[algebraic-graphs] OK: closure (edge e x y) == edges [(one,x,x), (e,x,y), (one,y,y)]
1433.97 s
[algebraic-graphs] OK: closure == reflexiveClosure . transitiveClosure
1433.97 s
[algebraic-graphs] OK: closure == transitiveClosure . reflexiveClosure
1433.97 s
[algebraic-graphs] OK: closure . closure == closure
1433.97 s
[algebraic-graphs] OK: postSet x (closure y) == Set.fromList (reachable y x)
1433.97 s
[algebraic-graphs]
1433.97 s
[algebraic-graphs] ============ Labelled.Graph.reflexiveClosure ============
1433.97 s
[algebraic-graphs] OK: reflexiveClosure empty == empty
1433.97 s
[algebraic-graphs] OK: reflexiveClosure (vertex x) == edge one x x
1433.97 s
[algebraic-graphs] OK: reflexiveClosure (edge e x x) == edge one x x
1433.97 s
[algebraic-graphs] OK: reflexiveClosure (edge e x y) == edges [(one,x,x), (e,x,y), (one,y,y)]
1433.97 s
[algebraic-graphs] OK: reflexiveClosure . reflexiveClosure == reflexiveClosure
1433.97 s
[algebraic-graphs]
1433.97 s
[algebraic-graphs] ============ Labelled.Graph.symmetricClosure ============
1433.97 s
[algebraic-graphs] OK: symmetricClosure empty == empty
1433.97 s
[algebraic-graphs] OK: symmetricClosure (vertex x) == vertex x
1433.97 s
[algebraic-graphs] OK: symmetricClosure (edge e x y) == edges [(e,x,y), (e,y,x)]
1433.97 s
[algebraic-graphs] OK: symmetricClosure x == overlay x (transpose x)
1433.97 s
[algebraic-graphs] OK: symmetricClosure . symmetricClosure == symmetricClosure
1433.97 s
[algebraic-graphs]
1433.97 s
[algebraic-graphs] ============ Labelled.Graph.transitiveClosure ============
1433.97 s
[algebraic-graphs] OK: transitiveClosure empty == empty
1433.97 s
[algebraic-graphs] OK: transitiveClosure (vertex x) == vertex x
1433.97 s
[algebraic-graphs] OK: transitiveClosure (edge e x y) == edge e x y
1433.97 s
[algebraic-graphs] OK: transitiveClosure . transitiveClosure == transitiveClosure
1433.97 s
[algebraic-graphs]
1433.97 s
[algebraic-graphs] ============ Labelled.Graph.context ============
1433.97 s
[algebraic-graphs] OK: context (const False) x == Nothing
1433.97 s
[algebraic-graphs] OK: context (== 1) (edge e 1 2) == if e == zero then Just (Context [] []) else Just (Context [] [(e,2)])
1433.97 s
[algebraic-graphs] OK: context (== 2) (edge e 1 2) == if e == zero then Just (Context [] []) else Just (Context [(e,1)] [] )
1433.97 s
[algebraic-graphs] OK: context (const True ) (edge e 1 2) == if e == zero then Just (Context [] []) else Just (Context [(e,1)] [(e,2)])
1433.97 s
[algebraic-graphs] OK: context (== 4) (3 * 1 * 4 * 1 * 5) == Just (Context [(one,3), (one,1)] [(one,1), (one,5)])
1433.97 s
[algebraic-graphs]
1433.97 s
[algebraic-graphs] ============ NonEmpty.AdjacencyMap ============
1433.97 s
[algebraic-graphs] OK: Axioms of non-empty graphs
1433.97 s
[algebraic-graphs] OK: Theorems of non-empty graphs
1433.97 s
[algebraic-graphs]
1433.97 s
[algebraic-graphs] ============ Ord (NonEmpty.AdjacencyMap a) ============
1433.97 s
[algebraic-graphs] OK: vertex 1 < vertex 2
1433.97 s
[algebraic-graphs] OK: vertex 3 < edge 1 2
1433.97 s
[algebraic-graphs] OK: vertex 1 < edge 1 1
1433.97 s
[algebraic-graphs] OK: edge 1 1 < edge 1 2
1433.97 s
[algebraic-graphs] OK: edge 1 2 < edge 1 1 + edge 2 2
1433.97 s
[algebraic-graphs] OK: edge 1 2 < edge 1 3
1433.97 s
[algebraic-graphs] OK: x <= x + y
1433.97 s
[algebraic-graphs] OK: x + y <= x * y
1433.97 s
[algebraic-graphs]
1433.97 s
[algebraic-graphs] ============ Show (NonEmpty.AdjacencyMap a) ============
1433.97 s
[algebraic-graphs] OK: show (1 :: AdjacencyMap Int) == "vertex 1"
1433.97 s
[algebraic-graphs] OK: show (1 + 2 :: AdjacencyMap Int) == "vertices1 [1,2]"
1433.97 s
[algebraic-graphs] OK: show (1 * 2 :: AdjacencyMap Int) == "edge 1 2"
1433.97 s
[algebraic-graphs] OK: show (1 * 2 * 3 :: AdjacencyMap Int) == "edges1 [(1,2),(1,3),(2,3)]"
1433.97 s
[algebraic-graphs] OK: show (1 * 2 + 3 :: AdjacencyMap Int) == "overlay (vertex 3) (edge 1 2)"
1433.97 s
[algebraic-graphs] OK: show (vertex (-1) :: AdjacencyMap Int) == "vertex (-1)"
1433.97 s
[algebraic-graphs] OK: show (vertex (-1) + vertex (-2) :: AdjacencyMap Int) == "vertices1 [-2,-1]"
1433.97 s
[algebraic-graphs] OK: show (vertex (-1) * vertex (-2) :: AdjacencyMap Int) == "edge (-1) (-2)"
1433.97 s
[algebraic-graphs] OK: show (vertex (-1) * vertex (-2) * vertex (-3) :: AdjacencyMap Int) == "edges1 [(-2,-3),(-1,-3),(-1,-2)]"
1433.97 s
[algebraic-graphs] OK: show (vertex (-1) * vertex (-2) + vertex (-3) :: AdjacencyMap Int) == "overlay (vertex (-3)) (edge (-1) (-2))"
1433.97 s
[algebraic-graphs]
1433.97 s
[algebraic-graphs] ============ NonEmpty.AdjacencyMap.toNonEmpty ============
1433.97 s
[algebraic-graphs] OK: toNonEmpty empty == Nothing
1433.97 s
[algebraic-graphs] OK: toNonEmpty . fromNonEmpty == Just
1433.97 s
[algebraic-graphs]
1433.97 s
[algebraic-graphs] ============ NonEmpty.AdjacencyMap.fromNonEmpty ============
1433.97 s
[algebraic-graphs] OK: isEmpty . fromNonEmpty == const False
1433.97 s
[algebraic-graphs]
1433.97 s
[algebraic-graphs] ============ NonEmpty.AdjacencyMap.vertex ============
1433.97 s
[algebraic-graphs] OK: hasVertex x (vertex y) == (x == y)
1433.97 s
[algebraic-graphs] OK: vertexCount (vertex x) == 1
1433.97 s
[algebraic-graphs] OK: edgeCount (vertex x) == 0
1433.97 s
[algebraic-graphs]
1433.97 s
[algebraic-graphs] ============ NonEmpty.AdjacencyMap.edge ============
1433.97 s
[algebraic-graphs] OK: edge x y == connect (vertex x) (vertex y)
1433.97 s
[algebraic-graphs] OK: hasEdge x y (edge x y) == True
1433.97 s
[algebraic-graphs] OK: edgeCount (edge x y) == 1
1433.97 s
[algebraic-graphs] OK: vertexCount (edge 1 1) == 1
1433.97 s
[algebraic-graphs] OK: vertexCount (edge 1 2) == 2
1433.97 s
[algebraic-graphs]
1433.97 s
[algebraic-graphs] ============ NonEmpty.AdjacencyMap.overlay ============
1433.97 s
[algebraic-graphs] OK: hasVertex z (overlay x y) == hasVertex z x || hasVertex z y
1433.97 s
[algebraic-graphs] OK: vertexCount (overlay x y) >= vertexCount x
1433.97 s
[algebraic-graphs] OK: vertexCount (overlay x y) <= vertexCount x + vertexCount y
1433.97 s
[algebraic-graphs] OK: edgeCount (overlay x y) >= edgeCount x
1433.97 s
[algebraic-graphs] OK: edgeCount (overlay x y) <= edgeCount x + edgeCount y
1433.97 s
[algebraic-graphs] OK: vertexCount (overlay 1 2) == 2
1433.97 s
[algebraic-graphs] OK: edgeCount (overlay 1 2) == 0
1433.97 s
[algebraic-graphs]
1433.97 s
[algebraic-graphs] ============ NonEmpty.AdjacencyMap.connect ============
1433.97 s
[algebraic-graphs] OK: hasVertex z (connect x y) == hasVertex z x || hasVertex z y
1433.97 s
[algebraic-graphs] OK: vertexCount (connect x y) >= vertexCount x
1433.97 s
[algebraic-graphs] OK: vertexCount (connect x y) <= vertexCount x + vertexCount y
1433.97 s
[algebraic-graphs] OK: edgeCount (connect x y) >= edgeCount x
1433.97 s
[algebraic-graphs] OK: edgeCount (connect x y) >= edgeCount y
1433.97 s
[algebraic-graphs] OK: edgeCount (connect x y) >= vertexCount x * vertexCount y
1433.97 s
[algebraic-graphs] OK: edgeCount (connect x y) <= vertexCount x * vertexCount y + edgeCount x + edgeCount y
1433.97 s
[algebraic-graphs] OK: vertexCount (connect 1 2) == 2
1433.97 s
[algebraic-graphs] OK: edgeCount (connect 1 2) == 1
1433.97 s
[algebraic-graphs]
1433.97 s
[algebraic-graphs] ============ NonEmpty.AdjacencyMap.vertices1 ============
1433.97 s
[algebraic-graphs] OK: vertices1 [x] == vertex x
1433.97 s
[algebraic-graphs] OK: hasVertex x . vertices1 == elem x
1433.97 s
[algebraic-graphs] OK: vertexCount . vertices1 == length . nub
1433.97 s
[algebraic-graphs] OK: vertexSet . vertices1 == Set.fromList . toList
1433.97 s
[algebraic-graphs]
1433.97 s
[algebraic-graphs] ============ NonEmpty.AdjacencyMap.edges1 ============
1433.97 s
[algebraic-graphs] OK: edges1 [(x,y)] == edge x y
1433.97 s
[algebraic-graphs] OK: edges1 == overlays1 . fmap (uncurry edge)
1433.97 s
[algebraic-graphs] OK: edgeCount . edges1 == length . nub
1433.97 s
[algebraic-graphs]
1436.91 s
[algebraic-graphs] ============ NonEmpty.AdjacencyMap.overlays1 ============
1436.91 s
[algebraic-graphs] OK: overlays1 [x] == x
1436.91 s
[algebraic-graphs] OK: overlays1 [x,y] == overlay x y
1436.91 s
[algebraic-graphs]
1436.91 s
[algebraic-graphs] ============ NonEmpty.AdjacencyMap.connects1 ============
1436.91 s
[algebraic-graphs] OK: connects1 [x] == x
1436.91 s
[algebraic-graphs] OK: connects1 [x,y] == connect x y
1436.91 s
[algebraic-graphs]
1436.91 s
[algebraic-graphs] ============ NonEmpty.AdjacencyMap.isSubgraphOf ============
1436.91 s
[algebraic-graphs] OK: isSubgraphOf x (overlay x y) == True
1436.91 s
[algebraic-graphs] OK: isSubgraphOf (overlay x y) (connect x y) == True
1436.91 s
[algebraic-graphs] OK: isSubgraphOf (path1 xs) (circuit1 xs) == True
1436.91 s
[algebraic-graphs] OK: isSubgraphOf x y ==> x <= y
1436.91 s
[algebraic-graphs]
1436.91 s
[algebraic-graphs] ============ NonEmpty.AdjacencyMap.hasVertex ============
1436.91 s
[algebraic-graphs] OK: hasVertex x (vertex y) == (x == y)
1436.91 s
[algebraic-graphs]
1436.91 s
[algebraic-graphs] ============ NonEmpty.AdjacencyMap.hasEdge ============
1436.91 s
[algebraic-graphs] OK: hasEdge x y (vertex z) == False
1436.91 s
[algebraic-graphs] OK: hasEdge x y (edge x y) == True
1436.91 s
[algebraic-graphs] OK: hasEdge x y . removeEdge x y == const False
1436.91 s
[algebraic-graphs] OK: hasEdge x y == elem (x,y) . edgeList
1436.91 s
[algebraic-graphs]
1436.91 s
[algebraic-graphs] ============ NonEmpty.AdjacencyMap.vertexCount ============
1436.91 s
[algebraic-graphs] OK: vertexCount (vertex x) == 1
1436.91 s
[algebraic-graphs] OK: vertexCount x >= 1
1436.91 s
[algebraic-graphs] OK: vertexCount == length . vertexList1
1436.91 s
[algebraic-graphs]
1436.91 s
[algebraic-graphs] ============ NonEmpty.AdjacencyMap.edgeCount ============
1436.91 s
[algebraic-graphs] OK: edgeCount (vertex x) == 0
1436.91 s
[algebraic-graphs] OK: edgeCount (edge x y) == 1
1436.91 s
[algebraic-graphs] OK: edgeCount == length . edgeList
1436.91 s
[algebraic-graphs]
1436.91 s
[algebraic-graphs] ============ NonEmpty.AdjacencyMap.vertexList1 ============
1436.91 s
[algebraic-graphs] OK: vertexList1 (vertex x) == [x]
1436.91 s
[algebraic-graphs] OK: vertexList1 . vertices1 == nub . sort
1436.91 s
[algebraic-graphs]
1436.91 s
[algebraic-graphs] ============ NonEmpty.AdjacencyMap.edgeList ============
1436.91 s
[algebraic-graphs] OK: edgeList (vertex x) == []
1436.91 s
[algebraic-graphs] OK: edgeList (edge x y) == [(x,y)]
1436.91 s
[algebraic-graphs] OK: edgeList (star 2 [3,1]) == [(2,1), (2,3)]
1436.92 s
[algebraic-graphs] OK: edgeList . edges1 == nub . sort . toList
1436.92 s
[algebraic-graphs] OK: edgeList . transpose == sort . map swap . edgeList
1436.92 s
[algebraic-graphs]
1436.92 s
[algebraic-graphs] ============ NonEmpty.AdjacencyMap.vertexSet ============
1436.92 s
[algebraic-graphs] OK: vertexSet . vertex == Set.singleton
1436.92 s
[algebraic-graphs] OK: vertexSet . vertices1 == Set.fromList . toList
1436.92 s
[algebraic-graphs] OK: vertexSet . clique1 == Set.fromList . toList
1436.92 s
[algebraic-graphs]
1436.92 s
[algebraic-graphs] ============ NonEmpty.AdjacencyMap.edgeSet ============
1436.92 s
[algebraic-graphs] OK: edgeSet (vertex x) == Set.empty
1436.92 s
[algebraic-graphs] OK: edgeSet (edge x y) == Set.singleton (x,y)
1436.92 s
[algebraic-graphs] OK: edgeSet . edges1 == Set.fromList . toList
1436.92 s
[algebraic-graphs]
1436.92 s
[algebraic-graphs] ============ NonEmpty.AdjacencyMap.preSet ============
1436.92 s
[algebraic-graphs] OK: preSet x (vertex x) == Set.empty
1436.92 s
[algebraic-graphs] OK: preSet 1 (edge 1 2) == Set.empty
1436.92 s
[algebraic-graphs] OK: preSet y (edge x y) == Set.fromList [x]
1436.92 s
[algebraic-graphs]
1436.92 s
[algebraic-graphs] ============ NonEmpty.AdjacencyMap.postSet ============
1436.92 s
[algebraic-graphs] OK: postSet x (vertex x) == Set.empty
1436.92 s
[algebraic-graphs] OK: postSet x (edge x y) == Set.fromList [y]
1436.92 s
[algebraic-graphs] OK: postSet 2 (edge 1 2) == Set.empty
1436.92 s
[algebraic-graphs]
1436.92 s
[algebraic-graphs] ============ NonEmpty.AdjacencyMap.path1 ============
1436.92 s
[algebraic-graphs] OK: path1 [x] == vertex x
1436.92 s
[algebraic-graphs] OK: path1 [x,y] == edge x y
1436.92 s
[algebraic-graphs] OK: path1 . reverse == transpose . path1
1436.92 s
[algebraic-graphs]
1436.92 s
[algebraic-graphs] ============ NonEmpty.AdjacencyMap.circuit1 ============
1436.92 s
[algebraic-graphs] OK: circuit1 [x] == edge x x
1436.92 s
[algebraic-graphs] OK: circuit1 [x,y] == edges1 [(x,y), (y,x)]
1436.92 s
[algebraic-graphs] OK: circuit1 . reverse == transpose . circuit1
1436.92 s
[algebraic-graphs]
1436.92 s
[algebraic-graphs] ============ NonEmpty.AdjacencyMap.clique1 ============
1436.92 s
[algebraic-graphs] OK: clique1 [x] == vertex x
1436.92 s
[algebraic-graphs] OK: clique1 [x,y] == edge x y
1436.92 s
[algebraic-graphs] OK: clique1 [x,y,z] == edges1 [(x,y), (x,z), (y,z)]
1436.92 s
[algebraic-graphs] OK: clique1 (xs <> ys) == connect (clique1 xs) (clique1 ys)
1436.92 s
[algebraic-graphs] OK: clique1 . reverse == transpose . clique1
1436.92 s
[algebraic-graphs]
1436.92 s
[algebraic-graphs] ============ NonEmpty.AdjacencyMap.biclique1 ============
1436.92 s
[algebraic-graphs] OK: biclique1 [x1,x2] [y1,y2] == edges1 [(x1,y1), (x1,y2), (x2,y1), (x2,y2)]
1436.92 s
[algebraic-graphs] OK: biclique1 xs ys == connect (vertices1 xs) (vertices1 ys)
1436.92 s
[algebraic-graphs]
1436.92 s
[algebraic-graphs] ============ NonEmpty.AdjacencyMap.star ============
1436.92 s
[algebraic-graphs] OK: star x [] == vertex x
1436.92 s
[algebraic-graphs] OK: star x [y] == edge x y
1436.92 s
[algebraic-graphs] OK: star x [y,z] == edges1 [(x,y), (x,z)]
1436.92 s
[algebraic-graphs]
1436.92 s
[algebraic-graphs] ============ NonEmpty.AdjacencyMap.stars1 ============
1436.92 s
[algebraic-graphs] OK: stars1 [(x, [] )] == vertex x
1436.92 s
[algebraic-graphs] OK: stars1 [(x, [y])] == edge x y
1436.92 s
[algebraic-graphs] OK: stars1 [(x, ys )] == star x ys
1436.92 s
[algebraic-graphs] OK: stars1 == overlays1 . fmap (uncurry star)
1436.92 s
[algebraic-graphs] OK: overlay (stars1 xs) (stars1 ys) == stars1 (xs <> ys)
1436.92 s
[algebraic-graphs]
1436.92 s
[algebraic-graphs] ============ NonEmpty.AdjacencyMap.tree ============
1436.92 s
[algebraic-graphs] OK: tree (Node x []) == vertex x
1436.92 s
[algebraic-graphs] OK: tree (Node x [Node y [Node z []]]) == path1 [x,y,z]
1436.92 s
[algebraic-graphs] OK: tree (Node x [Node y [], Node z []]) == star x [y,z]
1436.92 s
[algebraic-graphs] OK: tree (Node 1 [Node 2 [], Node 3 [Node 4 [], Node 5 []]]) == edges1 [(1,2), (1,3), (3,4), (3,5)]
1436.92 s
[algebraic-graphs]
1436.92 s
[algebraic-graphs] ============ NonEmpty.AdjacencyMap.removeVertex1 ============
1436.92 s
[algebraic-graphs] OK: removeVertex1 x (vertex x) == Nothing
1436.92 s
[algebraic-graphs] OK: removeVertex1 1 (vertex 2) == Just (vertex 2)
1436.92 s
[algebraic-graphs] OK: removeVertex1 x (edge x x) == Nothing
1436.92 s
[algebraic-graphs] OK: removeVertex1 1 (edge 1 2) == Just (vertex 2)
1436.92 s
[algebraic-graphs] OK: removeVertex1 x >=> removeVertex1 x == removeVertex1 x
1436.92 s
[algebraic-graphs]
1436.92 s
[algebraic-graphs] ============ NonEmpty.AdjacencyMap.removeEdge ============
1436.92 s
[algebraic-graphs] OK: removeEdge x y (edge x y) == vertices1 [x,y]
1436.92 s
[algebraic-graphs] OK: removeEdge x y . removeEdge x y == removeEdge x y
1436.92 s
[algebraic-graphs] OK: removeEdge 1 1 (1 * 1 * 2 * 2) == 1 * 2 * 2
1436.92 s
[algebraic-graphs] OK: removeEdge 1 2 (1 * 1 * 2 * 2) == 1 * 1 + 2 * 2
1436.92 s
[algebraic-graphs]
1436.92 s
[algebraic-graphs] ============ NonEmpty.AdjacencyMap.replaceVertex ============
1436.92 s
[algebraic-graphs] OK: replaceVertex x x == id
1436.92 s
[algebraic-graphs] OK: replaceVertex x y (vertex x) == vertex y
1436.92 s
[algebraic-graphs] OK: replaceVertex x y == mergeVertices (== x) y
1436.92 s
[algebraic-graphs]
1436.92 s
[algebraic-graphs] ============ NonEmpty.AdjacencyMap.mergeVertices ============
1436.92 s
[algebraic-graphs] OK: mergeVertices (const False) x == id
1436.92 s
[algebraic-graphs] OK: mergeVertices (== x) y == replaceVertex x y
1436.92 s
[algebraic-graphs] OK: mergeVertices even 1 (0 * 2) == 1 * 1
1436.92 s
[algebraic-graphs] OK: mergeVertices odd 1 (3 + 4 * 5) == 4 * 1
1436.92 s
[algebraic-graphs]
1436.92 s
[algebraic-graphs] ============ NonEmpty.AdjacencyMap.transpose ============
1436.92 s
[algebraic-graphs] OK: transpose (vertex x) == vertex x
1436.92 s
[algebraic-graphs] OK: transpose (edge x y) == edge y x
1436.92 s
[algebraic-graphs] OK: transpose . transpose == id
1436.92 s
[algebraic-graphs] OK: edgeList . transpose == sort . map swap . edgeList
1436.92 s
[algebraic-graphs]
1436.92 s
[algebraic-graphs] ============ NonEmpty.AdjacencyMap.gmap ============
1436.92 s
[algebraic-graphs] OK: gmap f (vertex x) == vertex (f x)
1436.92 s
[algebraic-graphs] OK: gmap f (edge x y) == edge (f x) (f y)
1436.92 s
[algebraic-graphs] OK: gmap id == id
1436.92 s
[algebraic-graphs] OK: gmap f . gmap g == gmap (f . g)
1436.92 s
[algebraic-graphs]
1436.92 s
[algebraic-graphs] ============ NonEmpty.AdjacencyMap.induce1 ============
1436.92 s
[algebraic-graphs] OK: induce1 (const True ) x == Just x
1436.92 s
[algebraic-graphs] OK: induce1 (const False) x == Nothing
1436.92 s
[algebraic-graphs] OK: induce1 (/= x) == removeVertex1 x
1436.92 s
[algebraic-graphs] OK: induce1 p >=> induce1 q == induce1 (\x -> p x && q x)
1436.92 s
[algebraic-graphs]
1436.92 s
[algebraic-graphs] ============ NonEmpty.AdjacencyMap.induceJust1 ============
1436.92 s
[algebraic-graphs] OK: induceJust1 (vertex Nothing) == Nothing
1436.92 s
[algebraic-graphs] OK: induceJust1 (edge (Just x) Nothing) == Just (vertex x)
1436.92 s
[algebraic-graphs] OK: induceJust1 . gmap Just == Just
1436.92 s
[algebraic-graphs] OK: induceJust1 . gmap (\x -> if p x then Just x else Nothing) == induce1 p
1436.92 s
[algebraic-graphs]
1436.92 s
[algebraic-graphs] ============ NonEmpty.AdjacencyMap.closure ============
1436.92 s
[algebraic-graphs] OK: closure (vertex x) == edge x x
1436.92 s
[algebraic-graphs] OK: closure (edge x x) == edge x x
1436.92 s
[algebraic-graphs] OK: closure (edge x y) == edges1 [(x,x), (x,y), (y,y)]
1436.92 s
[algebraic-graphs] OK: closure (path1 $ nub xs) == reflexiveClosure (clique1 $ nub xs)
1436.92 s
[algebraic-graphs] OK: closure == reflexiveClosure . transitiveClosure
1436.92 s
[algebraic-graphs] OK: closure == transitiveClosure . reflexiveClosure
1436.92 s
[algebraic-graphs] OK: closure . closure == closure
1436.92 s
[algebraic-graphs] OK: postSet x (closure y) == Set.fromList (reachable y x)
1436.92 s
[algebraic-graphs]
1436.92 s
[algebraic-graphs] ============ NonEmpty.AdjacencyMap.reflexiveClosure ============
1436.92 s
[algebraic-graphs] OK: reflexiveClosure (vertex x) == edge x x
1436.92 s
[algebraic-graphs] OK: reflexiveClosure (edge x x) == edge x x
1436.92 s
[algebraic-graphs] OK: reflexiveClosure (edge x y) == edges1 [(x,x), (x,y), (y,y)]
1436.92 s
[algebraic-graphs] OK: reflexiveClosure . reflexiveClosure == reflexiveClosure
1436.92 s
[algebraic-graphs]
1436.92 s
[algebraic-graphs] ============ NonEmpty.AdjacencyMap.symmetricClosure ============
1436.92 s
[algebraic-graphs] OK: symmetricClosure (vertex x) == vertex x
1436.92 s
[algebraic-graphs] OK: symmetricClosure (edge x y) == edges1 [(x,y), (y,x)]
1436.92 s
[algebraic-graphs] OK: symmetricClosure x == overlay x (transpose x)
1436.92 s
[algebraic-graphs] OK: symmetricClosure . symmetricClosure == symmetricClosure
1436.92 s
[algebraic-graphs]
1436.92 s
[algebraic-graphs] ============ NonEmpty.AdjacencyMap.transitiveClosure ============
1436.92 s
[algebraic-graphs] OK: transitiveClosure (vertex x) == vertex x
1436.92 s
[algebraic-graphs] OK: transitiveClosure (edge x y) == edge x y
1436.92 s
[algebraic-graphs] OK: transitiveClosure (path1 $ nub xs) == clique1 (nub $ xs)
1436.92 s
[algebraic-graphs] OK: transitiveClosure . transitiveClosure == transitiveClosure
1436.92 s
[algebraic-graphs]
1436.92 s
[algebraic-graphs] ============ NonEmpty.Graph.============
1436.92 s
[algebraic-graphs] OK: Axioms of non-empty graphs
1436.92 s
[algebraic-graphs] OK: Theorems of non-empty graphs
1436.92 s
[algebraic-graphs]
1436.92 s
[algebraic-graphs] ============ Ord (NonEmpty.Graph a) ============
1436.92 s
[algebraic-graphs] OK: vertex 1 < vertex 2
1436.92 s
[algebraic-graphs] OK: vertex 3 < edge 1 2
1436.92 s
[algebraic-graphs] OK: vertex 1 < edge 1 1
1436.92 s
[algebraic-graphs] OK: edge 1 1 < edge 1 2
1436.92 s
[algebraic-graphs] OK: edge 1 2 < edge 1 1 + edge 2 2
1436.92 s
[algebraic-graphs] OK: edge 1 2 < edge 1 3
1436.92 s
[algebraic-graphs] OK: x <= x + y
1436.92 s
[algebraic-graphs] OK: x + y <= x * y
1436.92 s
[algebraic-graphs]
1436.92 s
[algebraic-graphs] ============ Functor (NonEmpty.Graph a) ============
1436.92 s
[algebraic-graphs] OK: fmap f (vertex x) == vertex (f x)
1436.92 s
[algebraic-graphs] OK: fmap f (edge x y) == edge (f x) (f y)
1436.92 s
[algebraic-graphs] OK: fmap id == id
1436.92 s
[algebraic-graphs] OK: fmap f . fmap g == fmap (f . g)
1436.92 s
[algebraic-graphs]
1436.92 s
[algebraic-graphs] ============ Monad (NonEmpty.Graph a) ============
1436.92 s
[algebraic-graphs] OK: (vertex x >>= f) == f x
1438.33 s
[algebraic-graphs] OK: (edge x y >>= f) == connect (f x) (f y)
1438.33 s
[algebraic-graphs] OK: (vertices1 xs >>= f) == overlays1 (fmap f xs)
1438.33 s
[algebraic-graphs] OK: (x >>= vertex) == x
1438.33 s
[algebraic-graphs] OK: ((x >>= f) >>= g) == (x >>= (\y -> (f y) >>= g))
1438.33 s
[algebraic-graphs]
1438.33 s
[algebraic-graphs] ============ NonEmpty.Graph.toNonEmpty ============
1438.33 s
[algebraic-graphs] OK: toNonEmpty empty == Nothing
1438.33 s
[algebraic-graphs] OK: toNonEmpty (toGraph x) == Just (x :: NonEmpty.Graph a)
1438.33 s
[algebraic-graphs]
1438.33 s
[algebraic-graphs] ============ NonEmpty.Graph.vertex ============
1438.33 s
[algebraic-graphs] OK: hasVertex x (vertex y) == (x == y)
1438.33 s
[algebraic-graphs] OK: vertexCount (vertex x) == 1
1438.33 s
[algebraic-graphs] OK: edgeCount (vertex x) == 0
1438.33 s
[algebraic-graphs] OK: size (vertex x) == 1
1438.33 s
[algebraic-graphs]
1438.33 s
[algebraic-graphs] ============ NonEmpty.Graph.edge ============
1438.33 s
[algebraic-graphs] OK: edge x y == connect (vertex x) (vertex y)
1438.33 s
[algebraic-graphs] OK: hasEdge x y (edge x y) == True
1438.33 s
[algebraic-graphs] OK: edgeCount (edge x y) == 1
1438.33 s
[algebraic-graphs] OK: vertexCount (edge 1 1) == 1
1438.33 s
[algebraic-graphs] OK: vertexCount (edge 1 2) == 2
1438.33 s
[algebraic-graphs]
1438.33 s
[algebraic-graphs] ============ NonEmpty.Graph.overlay ============
1438.33 s
[algebraic-graphs] OK: hasVertex z (overlay x y) == hasVertex z x || hasVertex z y
1438.33 s
[algebraic-graphs] OK: vertexCount (overlay x y) >= vertexCount x
1438.33 s
[algebraic-graphs] OK: vertexCount (overlay x y) <= vertexCount x + vertexCount y
1438.33 s
[algebraic-graphs] OK: edgeCount (overlay x y) >= edgeCount x
1438.33 s
[algebraic-graphs] OK: edgeCount (overlay x y) <= edgeCount x + edgeCount y
1438.33 s
[algebraic-graphs] OK: size (overlay x y) == size x + size y
1438.33 s
[algebraic-graphs] OK: vertexCount (overlay 1 2) == 2
1438.33 s
[algebraic-graphs] OK: edgeCount (overlay 1 2) == 0
1438.33 s
[algebraic-graphs]
1438.33 s
[algebraic-graphs] ============ NonEmpty.Graph.overlay1 ============
1438.33 s
[algebraic-graphs] OK: overlay1 empty x == x
1438.33 s
[algebraic-graphs] OK: x /= empty ==> overlay1 x y == overlay (fromJust $ toNonEmpty x) y
1438.33 s
[algebraic-graphs]
1438.33 s
[algebraic-graphs] ============ NonEmpty.Graph.connect ============
1438.33 s
[algebraic-graphs] OK: hasVertex z (connect x y) == hasVertex z x || hasVertex z y
1438.33 s
[algebraic-graphs] OK: vertexCount (connect x y) >= vertexCount x
1438.33 s
[algebraic-graphs] OK: vertexCount (connect x y) <= vertexCount x + vertexCount y
1438.33 s
[algebraic-graphs] OK: edgeCount (connect x y) >= edgeCount x
1438.33 s
[algebraic-graphs] OK: edgeCount (connect x y) >= edgeCount y
1438.33 s
[algebraic-graphs] OK: edgeCount (connect x y) >= vertexCount x * vertexCount y
1438.33 s
[algebraic-graphs] OK: edgeCount (connect x y) <= vertexCount x * vertexCount y + edgeCount x + edgeCount y
1438.33 s
[algebraic-graphs] OK: size (connect x y) == size x + size y
1438.33 s
[algebraic-graphs] OK: vertexCount (connect 1 2) == 2
1438.33 s
[algebraic-graphs] OK: edgeCount (connect 1 2) == 1
1438.33 s
[algebraic-graphs]
1438.33 s
[algebraic-graphs] ============ NonEmpty.Graph.vertices1 ============
1438.33 s
[algebraic-graphs] OK: vertices1 [x] == vertex x
1438.33 s
[algebraic-graphs] OK: hasVertex x . vertices1 == elem x
1438.33 s
[algebraic-graphs] OK: vertexCount . vertices1 == length . nub
1438.33 s
[algebraic-graphs] OK: vertexSet . vertices1 == Set.fromList . toList
1438.33 s
[algebraic-graphs]
1438.33 s
[algebraic-graphs] ============ NonEmpty.Graph.edges1 ============
1438.33 s
[algebraic-graphs] OK: edges1 [(x,y)] == edge x y
1438.33 s
[algebraic-graphs] OK: edges1 == overlays1 . fmap (uncurry edge)
1438.33 s
[algebraic-graphs] OK: edgeCount . edges1 == length . nub
1438.33 s
[algebraic-graphs]
1438.33 s
[algebraic-graphs] ============ NonEmpty.Graph.overlays1 ============
1438.33 s
[algebraic-graphs] OK: overlays1 [x] == x
1438.33 s
[algebraic-graphs] OK: overlays1 [x,y] == overlay x y
1438.33 s
[algebraic-graphs]
1438.33 s
[algebraic-graphs] ============ NonEmpty.Graph.connects1 ============
1438.33 s
[algebraic-graphs] OK: connects1 [x] == x
1438.33 s
[algebraic-graphs] OK: connects1 [x,y] == connect x y
1438.33 s
[algebraic-graphs]
1438.33 s
[algebraic-graphs] ============ NonEmpty.Graph.foldg1 ============
1438.33 s
[algebraic-graphs] OK: foldg1 vertex overlay connect == id
1438.33 s
[algebraic-graphs] OK: foldg1 vertex overlay (flip connect) == transpose
1438.33 s
[algebraic-graphs] OK: foldg1 (const 1) (+) (+) == size
1438.33 s
[algebraic-graphs] OK: foldg1 (== x) (||) (||) == hasVertex x
1438.33 s
[algebraic-graphs]
1438.33 s
[algebraic-graphs] ============ NonEmpty.Graph.isSubgraphOf ============
1438.33 s
[algebraic-graphs] OK: isSubgraphOf x (overlay x y) == True
1438.33 s
[algebraic-graphs] OK: isSubgraphOf (overlay x y) (connect x y) == True
1438.33 s
[algebraic-graphs] OK: isSubgraphOf (path1 xs) (circuit1 xs) == True
1438.33 s
[algebraic-graphs] OK: isSubgraphOf x y ==> x <= y
1438.33 s
[algebraic-graphs]
1438.33 s
[algebraic-graphs] ============ NonEmpty.Graph.(===) ============
1438.33 s
[algebraic-graphs] OK: x === x == True
1438.33 s
[algebraic-graphs] OK: x + y === x + y == True
1438.33 s
[algebraic-graphs] OK: 1 + 2 === 2 + 1 == False
1438.33 s
[algebraic-graphs] OK: x + y === x * y == False
1438.33 s
[algebraic-graphs]
1438.33 s
[algebraic-graphs] ============ NonEmpty.Graph.size ============
1438.33 s
[algebraic-graphs] OK: size (vertex x) == 1
1438.33 s
[algebraic-graphs] OK: size (overlay x y) == size x + size y
1438.33 s
[algebraic-graphs] OK: size (connect x y) == size x + size y
1438.33 s
[algebraic-graphs] OK: size x >= 1
1438.33 s
[algebraic-graphs] OK: size x >= vertexCount x
1438.33 s
[algebraic-graphs]
1438.33 s
[algebraic-graphs] ============ NonEmpty.Graph.hasVertex ============
1438.33 s
[algebraic-graphs] OK: hasVertex x (vertex y) == (x == y)
1438.33 s
[algebraic-graphs]
1438.33 s
[algebraic-graphs] ============ NonEmpty.Graph.hasEdge ============
1438.33 s
[algebraic-graphs] OK: hasEdge x y (vertex z) == False
1438.33 s
[algebraic-graphs] OK: hasEdge x y (edge x y) == True
1438.33 s
[algebraic-graphs] OK: hasEdge x y . removeEdge x y == const False
1438.33 s
[algebraic-graphs] OK: hasEdge x y == elem (x,y) . edgeList
1438.33 s
[algebraic-graphs]
1438.33 s
[algebraic-graphs] ============ NonEmpty.Graph.vertexCount ============
1438.33 s
[algebraic-graphs] OK: vertexCount (vertex x) == 1
1438.33 s
[algebraic-graphs] OK: vertexCount x >= 1
1438.33 s
[algebraic-graphs] OK: vertexCount == length . vertexList1
1438.33 s
[algebraic-graphs]
1438.33 s
[algebraic-graphs] ============ NonEmpty.Graph.edgeCount ============
1438.33 s
[algebraic-graphs] OK: edgeCount (vertex x) == 0
1438.33 s
[algebraic-graphs] OK: edgeCount (edge x y) == 1
1438.33 s
[algebraic-graphs] OK: edgeCount == length . edgeList
1438.33 s
[algebraic-graphs]
1438.33 s
[algebraic-graphs] ============ NonEmpty.Graph.vertexList1 ============
1438.33 s
[algebraic-graphs] OK: vertexList1 (vertex x) == [x]
1438.33 s
[algebraic-graphs] OK: vertexList1 . vertices1 == nub . sort
1438.33 s
[algebraic-graphs]
1438.33 s
[algebraic-graphs] ============ NonEmpty.Graph.edgeList ============
1438.33 s
[algebraic-graphs] OK: edgeList (vertex x) == []
1438.34 s
[algebraic-graphs] OK: edgeList (edge x y) == [(x,y)]
1438.34 s
[algebraic-graphs] OK: edgeList (star 2 [3,1]) == [(2,1), (2,3)]
1438.34 s
[algebraic-graphs] OK: edgeList . edges1 == nub . sort . toList
1438.34 s
[algebraic-graphs] OK: edgeList . transpose == sort . map swap . edgeList
1438.34 s
[algebraic-graphs]
1438.34 s
[algebraic-graphs] ============ NonEmpty.Graph.vertexSet ============
1438.34 s
[algebraic-graphs] OK: vertexSet . vertex == Set.singleton
1438.34 s
[algebraic-graphs] OK: vertexSet . vertices1 == Set.fromList . toList
1438.34 s
[algebraic-graphs] OK: vertexSet . clique1 == Set.fromList . toList
1438.34 s
[algebraic-graphs]
1438.34 s
[algebraic-graphs] ============ NonEmpty.Graph.edgeSet ============
1438.34 s
[algebraic-graphs] OK: edgeSet (vertex x) == Set.empty
1438.34 s
[algebraic-graphs] OK: edgeSet (edge x y) == Set.singleton (x,y)
1438.34 s
[algebraic-graphs] OK: edgeSet . edges1 == Set.fromList . toList
1438.34 s
[algebraic-graphs]
1438.34 s
[algebraic-graphs] ============ NonEmpty.Graph.path1 ============
1438.34 s
[algebraic-graphs] OK: path1 [x] == vertex x
1438.34 s
[algebraic-graphs] OK: path1 [x,y] == edge x y
1438.34 s
[algebraic-graphs] OK: path1 . reverse == transpose . path1
1438.34 s
[algebraic-graphs]
1438.34 s
[algebraic-graphs] ============ NonEmpty.Graph.circuit1 ============
1438.34 s
[algebraic-graphs] OK: circuit1 [x] == edge x x
1438.34 s
[algebraic-graphs] OK: circuit1 [x,y] == edges1 [(x,y), (y,x)]
1438.34 s
[algebraic-graphs] OK: circuit1 . reverse == transpose . circuit1
1438.34 s
[algebraic-graphs]
1438.34 s
[algebraic-graphs] ============ NonEmpty.Graph.clique1 ============
1438.34 s
[algebraic-graphs] OK: clique1 [x] == vertex x
1438.34 s
[algebraic-graphs] OK: clique1 [x,y] == edge x y
1438.34 s
[algebraic-graphs] OK: clique1 [x,y,z] == edges1 [(x,y), (x,z), (y,z)]
1438.34 s
[algebraic-graphs] OK: clique1 (xs <> ys) == connect (clique1 xs) (clique1 ys)
1438.34 s
[algebraic-graphs] OK: clique1 . reverse == transpose . clique1
1438.34 s
[algebraic-graphs]
1438.34 s
[algebraic-graphs] ============ NonEmpty.Graph.biclique1 ============
1438.34 s
[algebraic-graphs] OK: biclique1 [x1,x2] [y1,y2] == edges1 [(x1,y1), (x1,y2), (x2,y1), (x2,y2)]
1438.34 s
[algebraic-graphs] OK: biclique1 xs ys == connect (vertices1 xs) (vertices1 ys)
1438.34 s
[algebraic-graphs]
1438.34 s
[algebraic-graphs] ============ NonEmpty.Graph.star ============
1438.34 s
[algebraic-graphs] OK: star x [] == vertex x
1438.34 s
[algebraic-graphs] OK: star x [y] == edge x y
1438.34 s
[algebraic-graphs] OK: star x [y,z] == edges1 [(x,y), (x,z)]
1438.34 s
[algebraic-graphs]
1438.34 s
[algebraic-graphs] ============ NonEmpty.Graph.stars1 ============
1438.34 s
[algebraic-graphs] OK: stars1 [(x, [] )] == vertex x
1438.34 s
[algebraic-graphs] OK: stars1 [(x, [y])] == edge x y
1438.34 s
[algebraic-graphs] OK: stars1 [(x, ys )] == star x ys
1438.34 s
[algebraic-graphs] OK: stars1 == overlays1 . fmap (uncurry star)
1438.34 s
[algebraic-graphs] OK: overlay (stars1 xs) (stars1 ys) == stars1 (xs <> ys)
1438.34 s
[algebraic-graphs]
1438.34 s
[algebraic-graphs] ============ NonEmpty.Graph.tree ============
1438.34 s
[algebraic-graphs] OK: tree (Node x []) == vertex x
1438.34 s
[algebraic-graphs] OK: tree (Node x [Node y [Node z []]]) == path1 [x,y,z]
1438.34 s
[algebraic-graphs] OK: tree (Node x [Node y [], Node z []]) == star x [y,z]
1438.34 s
[algebraic-graphs] OK: tree (Node 1 [Node 2 [], Node 3 [Node 4 [], Node 5 []]]) == edges1 [(1,2), (1,3), (3,4), (3,5)]
1438.34 s
[algebraic-graphs]
1438.34 s
[algebraic-graphs] ============ NonEmpty.Graph.mesh1 ============
1438.34 s
[algebraic-graphs] OK: mesh1 [x] [y] == vertex (x, y)
1438.34 s
[algebraic-graphs] OK: mesh1 xs ys == box (path1 xs) (path1 ys)
1438.34 s
[algebraic-graphs] OK: mesh1 [1,2,3] ['a', 'b'] == <correct result>
1438.34 s
[algebraic-graphs] OK: size (mesh xs ys) == max 1 (3 * length xs * length ys - length xs - length ys -1)
1438.34 s
[algebraic-graphs]
1438.34 s
[algebraic-graphs] ============ NonEmpty.Graph.torus1 ============
1438.34 s
[algebraic-graphs] OK: torus1 [x] [y] == edge (x,y) (x,y)
1438.34 s
[algebraic-graphs] OK: torus1 xs ys == box (circuit1 xs) (circuit1 ys)
1438.34 s
[algebraic-graphs] OK: torus1 [1,2] ['a', 'b'] == <correct result>
1438.34 s
[algebraic-graphs] OK: size (torus1 xs ys) == max 1 (3 * length xs * length ys)
1438.34 s
[algebraic-graphs]
1438.34 s
[algebraic-graphs] ============ NonEmpty.Graph.removeVertex1 ============
1438.34 s
[algebraic-graphs] OK: removeVertex1 x (vertex x) == Nothing
1438.34 s
[algebraic-graphs] OK: removeVertex1 1 (vertex 2) == Just (vertex 2)
1438.34 s
[algebraic-graphs] OK: removeVertex1 x (edge x x) == Nothing
1438.34 s
[algebraic-graphs] OK: removeVertex1 1 (edge 1 2) == Just (vertex 2)
1438.34 s
[algebraic-graphs] OK: removeVertex1 x >=> removeVertex1 x == removeVertex1 x
1438.34 s
[algebraic-graphs]
1438.34 s
[algebraic-graphs] ============ NonEmpty.Graph.removeEdge ============
1438.34 s
[algebraic-graphs] OK: removeEdge x y (edge x y) == vertices1 [x,y]
1438.34 s
[algebraic-graphs] OK: removeEdge x y . removeEdge x y == removeEdge x y
1438.34 s
[algebraic-graphs] OK: removeEdge 1 1 (1 * 1 * 2 * 2) == 1 * 2 * 2
1438.34 s
[algebraic-graphs] OK: removeEdge 1 2 (1 * 1 * 2 * 2) == 1 * 1 + 2 * 2
1438.34 s
[algebraic-graphs] OK: size (removeEdge x y z) <= 3 * size z
1438.34 s
[algebraic-graphs]
1438.34 s
[algebraic-graphs] ============ NonEmpty.Graph.replaceVertex ============
1438.34 s
[algebraic-graphs] OK: replaceVertex x x == id
1438.34 s
[algebraic-graphs] OK: replaceVertex x y (vertex x) == vertex y
1438.34 s
[algebraic-graphs] OK: replaceVertex x y == mergeVertices (== x) y
1438.34 s
[algebraic-graphs]
1438.34 s
[algebraic-graphs] ============ NonEmpty.Graph.mergeVertices ============
1438.34 s
[algebraic-graphs] OK: mergeVertices (const False) x == id
1444.10 s
[algebraic-graphs] OK: mergeVertices (== x) y == replaceVertex x y
1444.10 s
[algebraic-graphs] OK: mergeVertices even 1 (0 * 2) == 1 * 1
1444.11 s
[algebraic-graphs] OK: mergeVertices odd 1 (3 + 4 * 5) == 4 * 1
1444.11 s
[algebraic-graphs]
1444.11 s
[algebraic-graphs] ============ NonEmpty.Graph.splitVertex1 ============
1444.11 s
[algebraic-graphs] OK: splitVertex1 x [x] == id
1444.11 s
[algebraic-graphs] OK: splitVertex1 x [y] == replaceVertex x y
1444.11 s
[algebraic-graphs] OK: splitVertex1 1 [0,1] $ 1 * (2 + 3) == (0 + 1) * (2 + 3)
1444.11 s
[algebraic-graphs]
1444.11 s
[algebraic-graphs] ============ NonEmpty.Graph.transpose ============
1444.11 s
[algebraic-graphs] OK: transpose (vertex x) == vertex x
1444.11 s
[algebraic-graphs] OK: transpose (edge x y) == edge y x
1444.11 s
[algebraic-graphs] OK: transpose . transpose == id
1444.11 s
[algebraic-graphs] OK: transpose (box x y) == box (transpose x) (transpose y)
1444.11 s
[algebraic-graphs] OK: edgeList . transpose == sort . map swap . edgeList
1444.11 s
[algebraic-graphs]
1444.11 s
[algebraic-graphs] ============ NonEmpty.Graph.induce1 ============
1444.11 s
[algebraic-graphs] OK: induce1 (const True ) x == Just x
1444.11 s
[algebraic-graphs] OK: induce1 (const False) x == Nothing
1444.11 s
[algebraic-graphs] OK: induce1 (/= x) == removeVertex1 x
1444.11 s
[algebraic-graphs] OK: induce1 p >=> induce1 q == induce1 (\x -> p x && q x)
1444.11 s
[algebraic-graphs]
1444.11 s
[algebraic-graphs] ============ NonEmpty.Graph.induceJust1 ============
1444.11 s
[algebraic-graphs] OK: induceJust1 (vertex Nothing) == Nothing
1444.11 s
[algebraic-graphs] OK: induceJust1 (edge (Just x) Nothing) == Just (vertex x)
1444.11 s
[algebraic-graphs] OK: induceJust1 . fmap Just == Just
1444.11 s
[algebraic-graphs] OK: induceJust1 . fmap (\x -> if p x then Just x else Nothing) == induce1 p
1444.11 s
[algebraic-graphs]
1444.11 s
[algebraic-graphs] ============ NonEmpty.Graph.simplify ============
1444.11 s
[algebraic-graphs] OK: simplify == id
1444.11 s
[algebraic-graphs] OK: size (simplify x) <= size x
1444.11 s
[algebraic-graphs] OK: simplify 1 === 1
1444.11 s
[algebraic-graphs] OK: simplify (1 + 1) === 1
1444.11 s
[algebraic-graphs] OK: simplify (1 + 2 + 1) === 1 + 2
1444.11 s
[algebraic-graphs] OK: simplify (1 * 1 * 1) === 1 * 1
1444.11 s
[algebraic-graphs]
1444.11 s
[algebraic-graphs] ============ NonEmpty.Graph.sparsify ============
1444.11 s
[algebraic-graphs] OK: sort . reachable x == sort . rights . reachable (sparsify x) . Right
1444.11 s
[algebraic-graphs] OK: vertexCount (sparsify x) <= vertexCount x + size x + 1
1444.11 s
[algebraic-graphs] OK: edgeCount (sparsify x) <= 3 * size x
1444.11 s
[algebraic-graphs] OK: size (sparsify x) <= 3 * size x
1444.11 s
[algebraic-graphs]
1444.11 s
[algebraic-graphs] ============ NonEmpty.Graph.sparsifyKL ============
1444.11 s
[algebraic-graphs] OK: sort . reachable x == sort . filter (<= n) . reachable (sparsifyKL n x)
1444.11 s
[algebraic-graphs] OK: length (vertices $ sparsifyKL n x) <= vertexCount x + size x + 1
1444.11 s
[algebraic-graphs] OK: length (edges $ sparsifyKL n x) <= 3 * size x
1444.11 s
[algebraic-graphs]
1444.11 s
[algebraic-graphs] ============ NonEmpty.Graph.box ============
1444.11 s
[algebraic-graphs] OK: box (path1 [0,1]) (path1 ['a','b']) == <correct result>
1444.11 s
[algebraic-graphs] OK: box x y ~~ box y x
1444.11 s
[algebraic-graphs] OK: box x (overlay y z) == overlay (box x y) (box x z)
1444.11 s
[algebraic-graphs] OK: box x (vertex ()) ~~ x
1444.11 s
[algebraic-graphs] OK: box x (box y z) ~~ box (box x y) z
1444.11 s
[algebraic-graphs] OK: transpose (box x y) == box (transpose x) (transpose y)
1444.11 s
[algebraic-graphs] OK: vertexCount (box x y) == vertexCount x * vertexCount y
1444.11 s
[algebraic-graphs] OK: edgeCount (box x y) <= vertexCount x * edgeCount y + edgeCount x * vertexCount y
1444.11 s
[algebraic-graphs]
1444.11 s
[algebraic-graphs] ============ Relation ============
1444.11 s
[algebraic-graphs] OK: Axioms of graphs
1444.11 s
[algebraic-graphs]
1444.11 s
[algebraic-graphs] ============ Relation.consistent ============
1444.11 s
[algebraic-graphs] OK: Consistency of the Arbitrary instance
1444.11 s
[algebraic-graphs]
1444.11 s
[algebraic-graphs] OK: consistent empty == True
1444.11 s
[algebraic-graphs] OK: consistent (vertex x) == True
1444.11 s
[algebraic-graphs] OK: consistent (overlay x y) == True
1444.11 s
[algebraic-graphs] OK: consistent (connect x y) == True
1444.11 s
[algebraic-graphs] OK: consistent (edge x y) == True
1444.11 s
[algebraic-graphs] OK: consistent (edges xs) == True
1444.11 s
[algebraic-graphs] OK: consistent (stars xs) == True
1444.11 s
[algebraic-graphs]
1444.11 s
[algebraic-graphs] ============ Relation.Show ============
1444.11 s
[algebraic-graphs] OK: show (empty ) == "empty"
1444.11 s
[algebraic-graphs] OK: show (1 ) == "vertex 1"
1444.11 s
[algebraic-graphs] OK: show (1 + 2 ) == "vertices [1,2]"
1444.11 s
[algebraic-graphs] OK: show (1 * 2 ) == "edge 1 2"
1444.11 s
[algebraic-graphs] OK: show (1 * 2 * 3) == "edges [(1,2),(1,3),(2,3)]"
1444.11 s
[algebraic-graphs] OK: show (1 * 2 + 3) == "overlay (vertex 3) (edge 1 2)"
1444.11 s
[algebraic-graphs]
1444.11 s
[algebraic-graphs] OK: show (vertex (-1) ) == "vertex (-1)"
1444.11 s
[algebraic-graphs] OK: show (vertex (-1) + vertex (-2) ) == "vertices [-2,-1]"
1444.11 s
[algebraic-graphs] OK: show (vertex (-2) * vertex (-1) ) == "edge (-2) (-1)"
1444.11 s
[algebraic-graphs] OK: show (vertex (-3) * vertex (-2) * vertex (-1)) == "edges [(-3,-2),(-3,-1),(-2,-1)]"
1444.11 s
[algebraic-graphs] OK: show (vertex (-3) * vertex (-2) + vertex (-1)) == "overlay (vertex (-1)) (edge (-3) (-2))"
1444.11 s
[algebraic-graphs]
1444.11 s
[algebraic-graphs] ============ Relation.Ord ============
1444.11 s
[algebraic-graphs] OK: vertex 1 < vertex 2
1444.11 s
[algebraic-graphs] OK: vertex 3 < edge 1 2
1444.11 s
[algebraic-graphs] OK: vertex 1 < edge 1 1
1444.11 s
[algebraic-graphs] OK: edge 1 1 < edge 1 2
1444.11 s
[algebraic-graphs] OK: edge 1 2 < edge 1 1 + edge 2 2
1444.11 s
[algebraic-graphs] OK: edge 1 2 < edge 1 3
1444.11 s
[algebraic-graphs] OK: x <= x + y
1444.11 s
[algebraic-graphs] OK: x + y <= x * y
1444.11 s
[algebraic-graphs]
1444.11 s
[algebraic-graphs] ============ Relation.empty ============
1444.11 s
[algebraic-graphs] OK: isEmpty empty == True
1444.11 s
[algebraic-graphs] OK: hasVertex x empty == False
1444.11 s
[algebraic-graphs] OK: vertexCount empty == 0
1444.11 s
[algebraic-graphs] OK: edgeCount empty == 0
1444.11 s
[algebraic-graphs]
1444.11 s
[algebraic-graphs] ============ Relation.vertex ============
1444.11 s
[algebraic-graphs] OK: isEmpty (vertex x) == False
1444.11 s
[algebraic-graphs] OK: hasVertex x (vertex y) == (x == y)
1444.11 s
[algebraic-graphs] OK: vertexCount (vertex x) == 1
1444.11 s
[algebraic-graphs] OK: edgeCount (vertex x) == 0
1444.11 s
[algebraic-graphs]
1444.11 s
[algebraic-graphs] ============ Relation.edge ============
1444.11 s
[algebraic-graphs] OK: edge x y == connect (vertex x) (vertex y)
1444.11 s
[algebraic-graphs] OK: hasEdge x y (edge x y) == True
1444.11 s
[algebraic-graphs] OK: edgeCount (edge x y) == 1
1444.11 s
[algebraic-graphs] OK: vertexCount (edge 1 1) == 1
1444.11 s
[algebraic-graphs] OK: vertexCount (edge 1 2) == 2
1444.11 s
[algebraic-graphs]
1444.11 s
[algebraic-graphs] ============ Relation.overlay ============
1444.11 s
[algebraic-graphs] OK: isEmpty (overlay x y) == isEmpty x && isEmpty y
1444.12 s
[algebraic-graphs] OK: hasVertex z (overlay x y) == hasVertex z x || hasVertex z y
1444.12 s
[algebraic-graphs] OK: vertexCount (overlay x y) >= vertexCount x
1444.12 s
[algebraic-graphs] OK: vertexCount (overlay x y) <= vertexCount x + vertexCount y
1444.12 s
[algebraic-graphs] OK: edgeCount (overlay x y) >= edgeCount x
1444.12 s
[algebraic-graphs] OK: edgeCount (overlay x y) <= edgeCount x + edgeCount y
1444.12 s
[algebraic-graphs] OK: vertexCount (overlay 1 2) == 2
1444.12 s
[algebraic-graphs] OK: edgeCount (overlay 1 2) == 0
1444.12 s
[algebraic-graphs]
1444.12 s
[algebraic-graphs] ============ Relation.connect ============
1444.12 s
[algebraic-graphs] OK: isEmpty (connect x y) == isEmpty x && isEmpty y
1444.12 s
[algebraic-graphs] OK: hasVertex z (connect x y) == hasVertex z x || hasVertex z y
1444.12 s
[algebraic-graphs] OK: vertexCount (connect x y) >= vertexCount x
1444.12 s
[algebraic-graphs] OK: vertexCount (connect x y) <= vertexCount x + vertexCount y
1444.12 s
[algebraic-graphs] OK: edgeCount (connect x y) >= edgeCount x
1444.12 s
[algebraic-graphs] OK: edgeCount (connect x y) >= edgeCount y
1444.12 s
[algebraic-graphs] OK: edgeCount (connect x y) >= vertexCount x * vertexCount y
1444.12 s
[algebraic-graphs] OK: edgeCount (connect x y) <= vertexCount x * vertexCount y + edgeCount x + edgeCount y
1444.12 s
[algebraic-graphs] OK: vertexCount (connect 1 2) == 2
1444.12 s
[algebraic-graphs] OK: edgeCount (connect 1 2) == 1
1444.12 s
[algebraic-graphs]
1444.12 s
[algebraic-graphs] ============ Relation.vertices ============
1444.12 s
[algebraic-graphs] OK: vertices [] == empty
1444.12 s
[algebraic-graphs] OK: vertices [x] == vertex x
1444.12 s
[algebraic-graphs] OK: vertices == overlays . map vertex
1444.12 s
[algebraic-graphs] OK: hasVertex x . vertices == elem x
1444.12 s
[algebraic-graphs] OK: vertexCount . vertices == length . nub
1444.12 s
[algebraic-graphs] OK: vertexSet . vertices == Set.fromList
1444.12 s
[algebraic-graphs]
1444.12 s
[algebraic-graphs] ============ Relation.edges ============
1444.12 s
[algebraic-graphs] OK: edges [] == empty
1444.12 s
[algebraic-graphs] OK: edges [(x,y)] == edge x y
1444.12 s
[algebraic-graphs] OK: edges == overlays . map (uncurry edge)
1444.12 s
[algebraic-graphs] OK: edgeCount . edges == length . nub
1444.12 s
[algebraic-graphs]
1444.12 s
[algebraic-graphs] ============ Relation.overlays ============
1444.12 s
[algebraic-graphs] OK: overlays [] == empty
1444.12 s
[algebraic-graphs] OK: overlays [x] == x
1444.12 s
[algebraic-graphs] OK: overlays [x,y] == overlay x y
1444.12 s
[algebraic-graphs] OK: overlays == foldr overlay empty
1444.12 s
[algebraic-graphs] OK: isEmpty . overlays == all isEmpty
1444.12 s
[algebraic-graphs]
1444.12 s
[algebraic-graphs] ============ Relation.connects ============
1444.12 s
[algebraic-graphs] OK: connects [] == empty
1444.12 s
[algebraic-graphs] OK: connects [x] == x
1444.12 s
[algebraic-graphs] OK: connects [x,y] == connect x y
1444.12 s
[algebraic-graphs] OK: connects == foldr connect empty
1444.12 s
[algebraic-graphs] OK: isEmpty . connects == all isEmpty
1444.12 s
[algebraic-graphs]
1444.12 s
[algebraic-graphs] ============ Relation.isSubgraphOf ============
1444.12 s
[algebraic-graphs] OK: isSubgraphOf empty x == True
1444.12 s
[algebraic-graphs] OK: isSubgraphOf (vertex x) empty == False
1444.12 s
[algebraic-graphs] OK: isSubgraphOf x (overlay x y) == True
1444.12 s
[algebraic-graphs] OK: isSubgraphOf (overlay x y) (connect x y) == True
1444.12 s
[algebraic-graphs] OK: isSubgraphOf (path xs) (circuit xs) == True
1444.12 s
[algebraic-graphs] OK: isSubgraphOf x y ==> x <= y
1444.12 s
[algebraic-graphs]
1444.12 s
[algebraic-graphs] ============ Relation.toGraph et al. ============
1444.12 s
[algebraic-graphs] OK: toGraph == foldg Empty Vertex Overlay Connect
1444.12 s
[algebraic-graphs] OK: foldg == Algebra.Graph.foldg . toGraph
1444.12 s
[algebraic-graphs] OK: isEmpty == foldg True (const False) (&&) (&&)
1444.12 s
[algebraic-graphs] OK: size == foldg 1 (const 1) (+) (+)
1444.12 s
[algebraic-graphs] OK: hasVertex x == foldg False (==x) (||) (||)
1444.12 s
[algebraic-graphs] OK: hasEdge x y == Algebra.Graph.hasEdge x y . toGraph
1444.12 s
[algebraic-graphs] OK: vertexCount == Set.size . vertexSet
1444.12 s
[algebraic-graphs] OK: edgeCount == Set.size . edgeSet
1444.12 s
[algebraic-graphs] OK: vertexList == Set.toAscList . vertexSet
1444.12 s
[algebraic-graphs] OK: edgeList == Set.toAscList . edgeSet
1444.12 s
[algebraic-graphs] OK: vertexSet == foldg Set.empty Set.singleton Set.union Set.union
1444.12 s
[algebraic-graphs] OK: vertexIntSet == foldg IntSet.empty IntSet.singleton IntSet.union IntSet.union
1444.12 s
[algebraic-graphs] OK: edgeSet == Algebra.Graph.AdjacencyMap.edgeSet . foldg empty vertex overlay connect
1444.12 s
[algebraic-graphs] OK: preSet x == Algebra.Graph.AdjacencyMap.preSet x . toAdjacencyMap
1444.12 s
[algebraic-graphs] OK: preIntSet x == Algebra.Graph.AdjacencyIntMap.preIntSet x . toAdjacencyIntMap
1444.12 s
[algebraic-graphs] OK: postSet x == Algebra.Graph.AdjacencyMap.postSet x . toAdjacencyMap
1444.12 s
[algebraic-graphs] OK: postIntSet x == Algebra.Graph.AdjacencyIntMap.postIntSet x . toAdjacencyIntMap
1447.13 s
[algebraic-graphs] OK: adjacencyList == Algebra.Graph.AdjacencyMap.adjacencyList . toAdjacencyMap
1447.13 s
[algebraic-graphs] OK: adjacencyMap == Algebra.Graph.AdjacencyMap.adjacencyMap . toAdjacencyMap
1447.13 s
[algebraic-graphs] OK: adjacencyIntMap == Algebra.Graph.AdjacencyIntMap.adjacencyIntMap . toAdjacencyIntMap
1447.13 s
[algebraic-graphs] OK: adjacencyMapTranspose == Algebra.Graph.AdjacencyMap.adjacencyMap . toAdjacencyMapTranspose
1447.13 s
[algebraic-graphs] OK: adjacencyIntMapTranspose == Algebra.Graph.AdjacencyIntMap.adjacencyIntMap . toAdjacencyIntMapTranspose
1447.13 s
[algebraic-graphs] OK: dfsForest == Algebra.Graph.AdjacencyMap.dfsForest . toAdjacencyMap
1447.13 s
[algebraic-graphs] OK: dfsForestFrom == Algebra.Graph.AdjacencyMap.dfsForestFrom . toAdjacencyMap
1447.13 s
[algebraic-graphs] OK: dfs == Algebra.Graph.AdjacencyMap.dfs . toAdjacencyMap
1447.13 s
[algebraic-graphs] OK: reachable == Algebra.Graph.AdjacencyMap.reachable . toAdjacencyMap
1447.13 s
[algebraic-graphs] OK: topSort == Algebra.Graph.AdjacencyMap.topSort . toAdjacencyMap
1447.13 s
[algebraic-graphs] OK: isAcyclic == Algebra.Graph.AdjacencyMap.isAcyclic . toAdjacencyMap
1447.13 s
[algebraic-graphs] OK: isTopSortOf vs == Algebra.Graph.AdjacencyMap.isTopSortOf vs . toAdjacencyMap
1447.13 s
[algebraic-graphs] OK: toAdjacencyMap == foldg empty vertex overlay connect
1447.13 s
[algebraic-graphs] OK: toAdjacencyMapTranspose == foldg empty vertex overlay (flip connect)
1447.13 s
[algebraic-graphs] OK: toAdjacencyIntMap == foldg empty vertex overlay connect
1447.13 s
[algebraic-graphs] OK: toAdjacencyIntMapTranspose == foldg empty vertex overlay (flip connect)
1447.13 s
[algebraic-graphs] OK: isDfsForestOf f == Algebra.Graph.AdjacencyMap.isDfsForestOf f . toAdjacencyMap
1447.13 s
[algebraic-graphs] OK: isTopSortOf vs == Algebra.Graph.AdjacencyMap.isTopSortOf vs . toAdjacencyMap
1447.13 s
[algebraic-graphs]
1447.13 s
[algebraic-graphs] ============ Relation.foldg ============
1447.13 s
[algebraic-graphs] OK: foldg empty vertex overlay connect == id
1447.13 s
[algebraic-graphs] OK: foldg empty vertex overlay (flip connect) == transpose
1447.13 s
[algebraic-graphs] OK: foldg 1 (const 1) (+) (+) == size
1447.13 s
[algebraic-graphs] OK: foldg True (const False) (&&) (&&) == isEmpty
1447.13 s
[algebraic-graphs]
1447.13 s
[algebraic-graphs] ============ Relation.isEmpty ============
1447.13 s
[algebraic-graphs] OK: isEmpty empty == True
1447.13 s
[algebraic-graphs] OK: isEmpty (overlay empty empty) == True
1447.13 s
[algebraic-graphs] OK: isEmpty (vertex x) == False
1447.13 s
[algebraic-graphs] OK: isEmpty (removeVertex x $ vertex x) == True
1447.13 s
[algebraic-graphs] OK: isEmpty (removeEdge x y $ edge x y) == False
1447.13 s
[algebraic-graphs]
1447.13 s
[algebraic-graphs] ============ Relation.hasVertex ============
1447.13 s
[algebraic-graphs] OK: hasVertex x empty == False
1447.13 s
[algebraic-graphs] OK: hasVertex x (vertex y) == (x == y)
1447.13 s
[algebraic-graphs] OK: hasVertex x . removeVertex x == const False
1447.13 s
[algebraic-graphs]
1447.13 s
[algebraic-graphs] ============ Relation.hasEdge ============
1447.13 s
[algebraic-graphs] OK: hasEdge x y empty == False
1447.13 s
[algebraic-graphs] OK: hasEdge x y (vertex z) == False
1447.13 s
[algebraic-graphs] OK: hasEdge x y (edge x y) == True
1447.13 s
[algebraic-graphs] OK: hasEdge x y . removeEdge x y == const False
1447.13 s
[algebraic-graphs] OK: hasEdge x y == elem (x,y) . edgeList
1447.13 s
[algebraic-graphs]
1447.13 s
[algebraic-graphs] ============ Relation.vertexCount ============
1447.13 s
[algebraic-graphs] OK: vertexCount empty == 0
1447.13 s
[algebraic-graphs] OK: vertexCount (vertex x) == 1
1447.13 s
[algebraic-graphs] OK: vertexCount == length . vertexList
1447.13 s
[algebraic-graphs] OK: vertexCount x < vertexCount y ==> x < y
1447.13 s
[algebraic-graphs]
1447.13 s
[algebraic-graphs] ============ Relation.edgeCount ============
1447.13 s
[algebraic-graphs] OK: edgeCount empty == 0
1447.13 s
[algebraic-graphs] OK: edgeCount (vertex x) == 0
1447.13 s
[algebraic-graphs] OK: edgeCount (edge x y) == 1
1447.13 s
[algebraic-graphs] OK: edgeCount == length . edgeList
1447.13 s
[algebraic-graphs]
1447.13 s
[algebraic-graphs] ============ Relation.vertexList ============
1447.13 s
[algebraic-graphs] OK: vertexList empty == []
1447.13 s
[algebraic-graphs] OK: vertexList (vertex x) == [x]
1447.13 s
[algebraic-graphs] OK: vertexList . vertices == nub . sort
1447.13 s
[algebraic-graphs]
1447.13 s
[algebraic-graphs] ============ Relation.vertexSet ============
1447.13 s
[algebraic-graphs] OK: vertexSet empty == Set.empty
1447.13 s
[algebraic-graphs] OK: vertexSet . vertex == Set.singleton
1447.13 s
[algebraic-graphs] OK: vertexSet . vertices == Set.fromList
1447.13 s
[algebraic-graphs]
1447.13 s
[algebraic-graphs] ============ Relation.vertexIntSet ============
1447.13 s
[algebraic-graphs] OK: vertexIntSet empty == IntSet.empty
1447.13 s
[algebraic-graphs] OK: vertexIntSet . vertex == IntSet.singleton
1447.13 s
[algebraic-graphs] OK: vertexIntSet . vertices == IntSet.fromList
1447.13 s
[algebraic-graphs] OK: vertexIntSet . clique == IntSet.fromList
1447.13 s
[algebraic-graphs]
1447.13 s
[algebraic-graphs] ============ Relation.edgeList ============
1447.13 s
[algebraic-graphs] OK: edgeList empty == []
1447.13 s
[algebraic-graphs] OK: edgeList (vertex x) == []
1447.13 s
[algebraic-graphs] OK: edgeList (edge x y) == [(x,y)]
1447.13 s
[algebraic-graphs] OK: edgeList (star 2 [3,1]) == [(2,1), (2,3)]
1447.13 s
[algebraic-graphs] OK: edgeList . edges == nub . sort
1447.13 s
[algebraic-graphs]
1447.13 s
[algebraic-graphs] ============ Relation.edgeSet ============
1447.13 s
[algebraic-graphs] OK: edgeSet empty == Set.empty
1447.13 s
[algebraic-graphs] OK: edgeSet (vertex x) == Set.empty
1447.13 s
[algebraic-graphs] OK: edgeSet (edge x y) == Set.singleton (x,y)
1447.13 s
[algebraic-graphs] OK: edgeSet . edges == Set.fromList
1447.13 s
[algebraic-graphs]
1447.13 s
[algebraic-graphs] ============ Relation.adjacencyList ============
1447.13 s
[algebraic-graphs] OK: adjacencyList empty == []
1447.13 s
[algebraic-graphs] OK: adjacencyList (vertex x) == [(x, [])]
1447.13 s
[algebraic-graphs] OK: adjacencyList (edge 1 2) == [(1, [2]), (2, [])]
1447.13 s
[algebraic-graphs] OK: adjacencyList (star 2 [3,1]) == [(1, []), (2, [1,3]), (3, [])]
1447.13 s
[algebraic-graphs]
1447.13 s
[algebraic-graphs] ============ Relation.preSet ============
1447.13 s
[algebraic-graphs] OK: preSet x empty == Set.empty
1447.13 s
[algebraic-graphs] OK: preSet x (vertex x) == Set.empty
1447.13 s
[algebraic-graphs] OK: preSet 1 (edge 1 2) == Set.empty
1447.13 s
[algebraic-graphs] OK: preSet y (edge x y) == Set.fromList [x]
1447.13 s
[algebraic-graphs]
1447.13 s
[algebraic-graphs] ============ Relation.preIntSet ============
1447.13 s
[algebraic-graphs] OK: preIntSet x empty == IntSet.empty
1447.13 s
[algebraic-graphs] OK: preIntSet x (vertex x) == IntSet.empty
1447.13 s
[algebraic-graphs] OK: preIntSet 1 (edge 1 2) == IntSet.empty
1447.13 s
[algebraic-graphs] OK: preIntSet y (edge x y) == IntSet.fromList [x]
1447.13 s
[algebraic-graphs]
1447.13 s
[algebraic-graphs] ============ Relation.postSet ============
1447.13 s
[algebraic-graphs] OK: postSet x empty == Set.empty
1447.13 s
[algebraic-graphs] OK: postSet x (vertex x) == Set.empty
1447.13 s
[algebraic-graphs] OK: postSet x (edge x y) == Set.fromList [y]
1447.13 s
[algebraic-graphs] OK: postSet 2 (edge 1 2) == Set.empty
1447.13 s
[algebraic-graphs]
1447.13 s
[algebraic-graphs] ============ Relation.postIntSet ============
1447.13 s
[algebraic-graphs] OK: postIntSet x empty == IntSet.empty
1447.13 s
[algebraic-graphs] OK: postIntSet x (vertex x) == IntSet.empty
1447.13 s
[algebraic-graphs] OK: postIntSet 2 (edge 1 2) == IntSet.empty
1447.13 s
[algebraic-graphs] OK: postIntSet x (edge x y) == IntSet.fromList [y]
1447.13 s
[algebraic-graphs]
1447.13 s
[algebraic-graphs] ============ Relation.path ============
1447.13 s
[algebraic-graphs] OK: path [] == empty
1447.13 s
[algebraic-graphs] OK: path [x] == vertex x
1447.13 s
[algebraic-graphs] OK: path [x,y] == edge x y
1447.13 s
[algebraic-graphs]
1447.13 s
[algebraic-graphs] ============ Relation.circuit ============
1447.13 s
[algebraic-graphs] OK: circuit [] == empty
1447.13 s
[algebraic-graphs] OK: circuit [x] == edge x x
1447.13 s
[algebraic-graphs] OK: circuit [x,y] == edges [(x,y), (y,x)]
1447.13 s
[algebraic-graphs]
1447.13 s
[algebraic-graphs] ============ Relation.clique ============
1447.13 s
[algebraic-graphs] OK: clique [] == empty
1447.13 s
[algebraic-graphs] OK: clique [x] == vertex x
1447.13 s
[algebraic-graphs] OK: clique [x,y] == edge x y
1447.13 s
[algebraic-graphs] OK: clique [x,y,z] == edges [(x,y), (x,z), (y,z)]
1447.13 s
[algebraic-graphs] OK: clique (xs ++ ys) == connect (clique xs) (clique ys)
1447.13 s
[algebraic-graphs]
1447.13 s
[algebraic-graphs] ============ Relation.biclique ============
1447.13 s
[algebraic-graphs] OK: biclique [] [] == empty
1447.13 s
[algebraic-graphs] OK: biclique [x] [] == vertex x
1447.13 s
[algebraic-graphs] OK: biclique [] [y] == vertex y
1447.13 s
[algebraic-graphs] OK: biclique [x1,x2] [y1,y2] == edges [(x1,y1), (x1,y2), (x2,y1), (x2,y2)]
1447.13 s
[algebraic-graphs] OK: biclique xs ys == connect (vertices xs) (vertices ys)
1447.13 s
[algebraic-graphs]
1447.13 s
[algebraic-graphs] ============ Relation.star ============
1447.13 s
[algebraic-graphs] OK: star x [] == vertex x
1447.13 s
[algebraic-graphs] OK: star x [y] == edge x y
1447.13 s
[algebraic-graphs] OK: star x [y,z] == edges [(x,y), (x,z)]
1447.13 s
[algebraic-graphs] OK: star x ys == connect (vertex x) (vertices ys)
1447.13 s
[algebraic-graphs]
1447.13 s
[algebraic-graphs] ============ Relation.stars ============
1447.13 s
[algebraic-graphs] OK: stars [] == empty
1447.13 s
[algebraic-graphs] OK: stars [(x, [])] == vertex x
1447.13 s
[algebraic-graphs] OK: stars [(x, [y])] == edge x y
1447.13 s
[algebraic-graphs] OK: stars [(x, ys)] == star x ys
1447.13 s
[algebraic-graphs] OK: stars == overlays . map (uncurry star)
1447.13 s
[algebraic-graphs] OK: stars . adjacencyList == id
1447.13 s
[algebraic-graphs] OK: overlay (stars xs) (stars ys) == stars (xs ++ ys)
1447.13 s
[algebraic-graphs]
1447.13 s
[algebraic-graphs] ============ Relation.tree ============
1447.13 s
[algebraic-graphs] OK: tree (Node x []) == vertex x
1447.13 s
[algebraic-graphs] OK: tree (Node x [Node y [Node z []]]) == path [x,y,z]
1447.13 s
[algebraic-graphs] OK: tree (Node x [Node y [], Node z []]) == star x [y,z]
1447.13 s
[algebraic-graphs] OK: tree (Node 1 [Node 2 [], Node 3 [Node 4 [], Node 5 []]]) == edges [(1,2), (1,3), (3,4), (3,5)]
1447.13 s
[algebraic-graphs]
1447.13 s
[algebraic-graphs] ============ Relation.forest ============
1447.13 s
[algebraic-graphs] OK: forest [] == empty
1447.13 s
[algebraic-graphs] OK: forest [x] == tree x
1447.13 s
[algebraic-graphs] OK: forest [Node 1 [Node 2 [], Node 3 []], Node 4 [Node 5 []]] == edges [(1,2), (1,3), (4,5)]
1447.13 s
[algebraic-graphs] OK: forest == overlays . map tree
1447.13 s
[algebraic-graphs]
1447.13 s
[algebraic-graphs] ============ Relation.removeVertex ============
1447.13 s
[algebraic-graphs] OK: removeVertex x (vertex x) == empty
1447.13 s
[algebraic-graphs] OK: removeVertex 1 (vertex 2) == vertex 2
1447.13 s
[algebraic-graphs] OK: removeVertex x (edge x x) == empty
1447.13 s
[algebraic-graphs] OK: removeVertex 1 (edge 1 2) == vertex 2
1447.13 s
[algebraic-graphs] OK: removeVertex x . removeVertex x == removeVertex x
1447.13 s
[algebraic-graphs]
1447.13 s
[algebraic-graphs] ============ Relation.removeEdge ============
1447.13 s
[algebraic-graphs] OK: removeEdge x y (edge x y) == vertices [x,y]
1447.13 s
[algebraic-graphs] OK: removeEdge x y . removeEdge x y == removeEdge x y
1447.13 s
[algebraic-graphs] OK: removeEdge x y . removeVertex x == removeVertex x
1447.13 s
[algebraic-graphs] OK: removeEdge 1 1 (1 * 1 * 2 * 2) == 1 * 2 * 2
1447.13 s
[algebraic-graphs] OK: removeEdge 1 2 (1 * 1 * 2 * 2) == 1 * 1 + 2 * 2
1447.13 s
[algebraic-graphs]
1447.13 s
[algebraic-graphs] ============ Relation.replaceVertex ============
1447.13 s
[algebraic-graphs] OK: replaceVertex x x == id
1447.13 s
[algebraic-graphs] OK: replaceVertex x y (vertex x) == vertex y
1447.13 s
[algebraic-graphs] OK: replaceVertex x y == mergeVertices (== x) y
1447.13 s
[algebraic-graphs]
1447.13 s
[algebraic-graphs] ============ Relation.mergeVertices ============
1447.13 s
[algebraic-graphs] OK: mergeVertices (const False) x == id
1466.34 s
[algebraic-graphs] OK: mergeVertices (== x) y == replaceVertex x y
1466.34 s
[algebraic-graphs] OK: mergeVertices even 1 (0 * 2) == 1 * 1
1466.36 s
[algebraic-graphs] OK: mergeVertices odd 1 (3 + 4 * 5) == 4 * 1
1466.36 s
[algebraic-graphs]
1466.36 s
[algebraic-graphs] ============ Relation.transpose ============
1466.36 s
[algebraic-graphs] OK: transpose empty == empty
1466.36 s
[algebraic-graphs] OK: transpose (vertex x) == vertex x
1466.36 s
[algebraic-graphs] OK: transpose (edge x y) == edge y x
1466.36 s
[algebraic-graphs] OK: transpose . transpose == id
1466.36 s
[algebraic-graphs] OK: edgeList . transpose == sort . map swap . edgeList
1466.36 s
[algebraic-graphs]
1466.36 s
[algebraic-graphs] ============ Relation.gmap ============
1466.36 s
[algebraic-graphs] OK: gmap f empty == empty
1466.36 s
[algebraic-graphs] OK: gmap f (vertex x) == vertex (f x)
1466.36 s
[algebraic-graphs] OK: gmap f (edge x y) == edge (f x) (f y)
1466.36 s
[algebraic-graphs] OK: gmap id == id
1466.36 s
[algebraic-graphs] OK: gmap f . gmap g == gmap (f . g)
1466.36 s
[algebraic-graphs]
1466.36 s
[algebraic-graphs] ============ Relation.induce ============
1466.36 s
[algebraic-graphs] OK: induce (const True ) x == x
1466.36 s
[algebraic-graphs] OK: induce (const False) x == empty
1466.36 s
[algebraic-graphs] OK: induce (/= x) == removeVertex x
1466.36 s
[algebraic-graphs] OK: induce p . induce q == induce (\x -> p x && q x)
1466.36 s
[algebraic-graphs] OK: isSubgraphOf (induce p x) x == True
1466.36 s
[algebraic-graphs]
1466.36 s
[algebraic-graphs] ============ Relation.compose ============
1466.36 s
[algebraic-graphs] OK: compose empty x == empty
1466.36 s
[algebraic-graphs] OK: compose x empty == empty
1466.36 s
[algebraic-graphs] OK: compose (vertex x) y == empty
1466.36 s
[algebraic-graphs] OK: compose x (vertex y) == empty
1466.36 s
[algebraic-graphs] OK: compose x (compose y z) == compose (compose x y) z
1466.36 s
[algebraic-graphs] OK: compose x (overlay y z) == overlay (compose x y) (compose x z)
1466.36 s
[algebraic-graphs] OK: compose (overlay x y) z == overlay (compose x z) (compose y z)
1466.36 s
[algebraic-graphs] OK: compose (edge x y) (edge y z) == edge x z
1466.36 s
[algebraic-graphs] OK: compose (path [1..5]) (path [1..5]) == edges [(1,3),(2,4),(3,5)]
1466.36 s
[algebraic-graphs] OK: compose (circuit [1..5]) (circuit [1..5]) == circuit [1,3,5,2,4]
1466.36 s
[algebraic-graphs]
1466.36 s
[algebraic-graphs] ============ Relation.closure ============
1466.36 s
[algebraic-graphs] OK: closure empty == empty
1466.36 s
[algebraic-graphs] OK: closure (vertex x) == edge x x
1466.36 s
[algebraic-graphs] OK: closure (edge x x) == edge x x
1466.36 s
[algebraic-graphs] OK: closure (edge x y) == edges [(x,x), (x,y), (y,y)]
1466.36 s
[algebraic-graphs] OK: closure (path $ nub xs) == reflexiveClosure (clique $ nub xs)
1466.36 s
[algebraic-graphs] OK: closure == reflexiveClosure . transitiveClosure
1466.36 s
[algebraic-graphs] OK: closure == transitiveClosure . reflexiveClosure
1466.36 s
[algebraic-graphs] OK: closure . closure == closure
1466.36 s
[algebraic-graphs] OK: postSet x (closure y) == Set.fromList (reachable y x)
1466.36 s
[algebraic-graphs]
1466.36 s
[algebraic-graphs] ============ Relation.reflexiveClosure ============
1466.36 s
[algebraic-graphs] OK: reflexiveClosure empty == empty
1466.36 s
[algebraic-graphs] OK: reflexiveClosure (vertex x) == edge x x
1466.36 s
[algebraic-graphs] OK: reflexiveClosure (edge x x) == edge x x
1466.36 s
[algebraic-graphs] OK: reflexiveClosure (edge x y) == edges [(x,x), (x,y), (y,y)]
1466.36 s
[algebraic-graphs] OK: reflexiveClosure . reflexiveClosure == reflexiveClosure
1466.36 s
[algebraic-graphs]
1466.36 s
[algebraic-graphs] ============ Relation.symmetricClosure ============
1466.36 s
[algebraic-graphs] OK: symmetricClosure empty == empty
1466.36 s
[algebraic-graphs] OK: symmetricClosure (vertex x) == vertex x
1466.36 s
[algebraic-graphs] OK: symmetricClosure (edge x y) == edges [(x,y), (y,x)]
1466.36 s
[algebraic-graphs] OK: symmetricClosure x == overlay x (transpose x)
1466.36 s
[algebraic-graphs] OK: symmetricClosure . symmetricClosure == symmetricClosure
1466.36 s
[algebraic-graphs]
1466.36 s
[algebraic-graphs] ============ Relation.transitiveClosure ============
1466.36 s
[algebraic-graphs] OK: transitiveClosure empty == empty
1466.36 s
[algebraic-graphs] OK: transitiveClosure (vertex x) == vertex x
1466.36 s
[algebraic-graphs] OK: transitiveClosure (edge x y) == edge x y
1466.36 s
[algebraic-graphs] OK: transitiveClosure (path $ nub xs) == clique (nub $ xs)
1466.36 s
[algebraic-graphs] OK: transitiveClosure . transitiveClosure == transitiveClosure
1466.36 s
[algebraic-graphs]
1466.36 s
[algebraic-graphs] ============ Relation.induceJust ============
1466.36 s
[algebraic-graphs] OK: induceJust (vertex Nothing) == empty
1466.36 s
[algebraic-graphs] OK: induceJust (edge (Just x) Nothing) == vertex x
1466.36 s
[algebraic-graphs] OK: induceJust . gmap Just == id
1466.36 s
[algebraic-graphs] OK: induceJust . gmap (\x -> if p x then Just x else Nothing) == induce p
1466.36 s
[algebraic-graphs]
1466.36 s
[algebraic-graphs] ============ ReflexiveRelation ============
1466.36 s
[algebraic-graphs] OK: Axioms of reflexive graphs
1466.36 s
[algebraic-graphs]
1466.36 s
[algebraic-graphs] ============ TransitiveRelation ============
1466.36 s
[algebraic-graphs] OK: Axioms of transitive graphs
1466.36 s
[algebraic-graphs] OK: path xs == (clique xs :: TransitiveRelation Int)
1466.36 s
[algebraic-graphs]
1466.36 s
[algebraic-graphs] ============ PreorderRelation ============
1466.36 s
[algebraic-graphs] OK: Axioms of preorder graphs
1466.36 s
[algebraic-graphs] OK: path xs == (clique xs :: PreorderRelation Int)
1466.36 s
[algebraic-graphs]
1466.36 s
[algebraic-graphs] ============ Symmetric.Relation ============
1466.36 s
[algebraic-graphs] OK: Axioms of undirected graphs
1466.36 s
[algebraic-graphs]
1466.36 s
[algebraic-graphs] ============ Symmetric.Relation.consistent ============
1466.36 s
[algebraic-graphs] OK: Consistency of the Arbitrary instance
1466.36 s
[algebraic-graphs]
1466.36 s
[algebraic-graphs] OK: consistent empty == True
1466.36 s
[algebraic-graphs] OK: consistent (vertex x) == True
1466.36 s
[algebraic-graphs] OK: consistent (overlay x y) == True
1466.36 s
[algebraic-graphs] OK: consistent (connect x y) == True
1466.36 s
[algebraic-graphs] OK: consistent (edge x y) == True
1466.36 s
[algebraic-graphs] OK: consistent (edges xs) == True
1466.36 s
[algebraic-graphs] OK: consistent (stars xs) == True
1466.36 s
[algebraic-graphs]
1466.36 s
[algebraic-graphs] ============ Symmetric.Relation.Show ============
1466.36 s
[algebraic-graphs] OK: show (empty ) == "empty"
1466.36 s
[algebraic-graphs] OK: show (1 ) == "vertex 1"
1466.36 s
[algebraic-graphs] OK: show (1 + 2 ) == "vertices [1,2]"
1466.36 s
[algebraic-graphs] OK: show (1 * 2 ) == "edge 1 2"
1466.36 s
[algebraic-graphs] OK: show (1 * 2 * 3) == "edges [(1,2),(1,3),(2,3)]"
1466.36 s
[algebraic-graphs] OK: show (1 * 2 + 3) == "overlay (vertex 3) (edge 1 2)"
1466.36 s
[algebraic-graphs]
1466.36 s
[algebraic-graphs] OK: show (vertex (-1) ) == "vertex (-1)"
1466.36 s
[algebraic-graphs] OK: show (vertex (-1) + vertex (-2) ) == "vertices [-2,-1]"
1466.36 s
[algebraic-graphs] OK: show (vertex (-2) * vertex (-1) ) == "edge (-2) (-1)"
1466.36 s
[algebraic-graphs] OK: show (vertex (-3) * vertex (-2) * vertex (-1)) == "edges [(-3,-2),(-3,-1),(-2,-1)]"
1466.36 s
[algebraic-graphs] OK: show (vertex (-3) * vertex (-2) + vertex (-1)) == "overlay (vertex (-1)) (edge (-3) (-2))"
1466.36 s
[algebraic-graphs]
1466.36 s
[algebraic-graphs] OK: show (2 * 1 ) == "edge 1 2"
1466.36 s
[algebraic-graphs] OK: show (1 * 2 * 1) == "edges [(1,1),(1,2)]"
1466.36 s
[algebraic-graphs] OK: show (3 * 2 * 1) == "edges [(1,2),(1,3),(2,3)]"
1466.36 s
[algebraic-graphs]
1466.36 s
[algebraic-graphs] ============ Symmetric.Relation.toSymmetric ============
1466.36 s
[algebraic-graphs] OK: toSymmetric (edge 1 2) == edge 1 2
1466.36 s
[algebraic-graphs] OK: toSymmetric . fromSymmetric == id
1466.36 s
[algebraic-graphs] OK: fromSymmetric . toSymmetric == symmetricClosure
1466.36 s
[algebraic-graphs] OK: vertexCount . toSymmetric == vertexCount
1466.36 s
[algebraic-graphs] OK: (*2) . edgeCount . toSymmetric >= edgeCount
1466.36 s
[algebraic-graphs]
1466.36 s
[algebraic-graphs] ============ Symmetric.Relation.fromSymmetric ============
1466.36 s
[algebraic-graphs] OK: fromSymmetric (edge 1 2) == edges [(1,2), (2,1)]
1466.36 s
[algebraic-graphs] OK: vertexCount . fromSymmetric == vertexCount
1466.36 s
[algebraic-graphs] OK: edgeCount . fromSymmetric <= (*2) . edgeCount
1466.36 s
[algebraic-graphs]
1466.36 s
[algebraic-graphs] ============ Symmetric.Relation.Ord ============
1466.36 s
[algebraic-graphs] OK: vertex 1 < vertex 2
1466.36 s
[algebraic-graphs] OK: vertex 3 < edge 1 2
1466.36 s
[algebraic-graphs] OK: vertex 1 < edge 1 1
1466.36 s
[algebraic-graphs] OK: edge 1 1 < edge 1 2
1466.36 s
[algebraic-graphs] OK: edge 1 2 < edge 1 1 + edge 2 2
1466.36 s
[algebraic-graphs] OK: edge 2 1 < edge 1 3
1466.36 s
[algebraic-graphs] OK: edge 1 2 == edge 2 1
1466.36 s
[algebraic-graphs] OK: x <= x + y
1466.36 s
[algebraic-graphs] OK: x + y <= x * y
1466.36 s
[algebraic-graphs]
1466.36 s
[algebraic-graphs] ============ Symmetric.Relation.empty ============
1466.36 s
[algebraic-graphs] OK: isEmpty empty == True
1466.36 s
[algebraic-graphs] OK: hasVertex x empty == False
1466.36 s
[algebraic-graphs] OK: vertexCount empty == 0
1466.36 s
[algebraic-graphs] OK: edgeCount empty == 0
1466.36 s
[algebraic-graphs]
1466.36 s
[algebraic-graphs] ============ Symmetric.Relation.vertex ============
1466.36 s
[algebraic-graphs] OK: isEmpty (vertex x) == False
1466.36 s
[algebraic-graphs] OK: hasVertex x (vertex y) == (x == y)
1466.36 s
[algebraic-graphs] OK: vertexCount (vertex x) == 1
1466.36 s
[algebraic-graphs] OK: edgeCount (vertex x) == 0
1466.36 s
[algebraic-graphs]
1466.36 s
[algebraic-graphs] ============ Symmetric.Relation.edge ============
1466.36 s
[algebraic-graphs] OK: edge x y == connect (vertex x) (vertex y)
1466.36 s
[algebraic-graphs] OK: edge x y == edge y x
1466.36 s
[algebraic-graphs] OK: edge x y == edges [(x,y), (y,x)]
1466.36 s
[algebraic-graphs] OK: hasEdge x y (edge x y) == True
1466.36 s
[algebraic-graphs] OK: edgeCount (edge x y) == 1
1466.36 s
[algebraic-graphs] OK: vertexCount (edge 1 1) == 1
1466.36 s
[algebraic-graphs] OK: vertexCount (edge 1 2) == 2
1466.36 s
[algebraic-graphs]
1466.36 s
[algebraic-graphs] ============ Symmetric.Relation.overlay ============
1466.36 s
[algebraic-graphs] OK: isEmpty (overlay x y) == isEmpty x && isEmpty y
1466.36 s
[algebraic-graphs] OK: hasVertex z (overlay x y) == hasVertex z x || hasVertex z y
1466.36 s
[algebraic-graphs] OK: vertexCount (overlay x y) >= vertexCount x
1466.36 s
[algebraic-graphs] OK: vertexCount (overlay x y) <= vertexCount x + vertexCount y
1466.36 s
[algebraic-graphs] OK: edgeCount (overlay x y) >= edgeCount x
1466.36 s
[algebraic-graphs] OK: edgeCount (overlay x y) <= edgeCount x + edgeCount y
1466.36 s
[algebraic-graphs] OK: vertexCount (overlay 1 2) == 2
1466.36 s
[algebraic-graphs] OK: edgeCount (overlay 1 2) == 0
1466.36 s
[algebraic-graphs]
1466.36 s
[algebraic-graphs] ============ Symmetric.Relation.connect ============
1466.36 s
[algebraic-graphs] OK: connect x y == connect y x
1466.36 s
[algebraic-graphs] OK: isEmpty (connect x y) == isEmpty x && isEmpty y
1466.36 s
[algebraic-graphs] OK: hasVertex z (connect x y) == hasVertex z x || hasVertex z y
1466.36 s
[algebraic-graphs] OK: vertexCount (connect x y) >= vertexCount x
1466.36 s
[algebraic-graphs] OK: vertexCount (connect x y) <= vertexCount x + vertexCount y
1466.36 s
[algebraic-graphs] OK: edgeCount (connect x y) >= edgeCount x
1466.36 s
[algebraic-graphs] OK: edgeCount (connect x y) >= edgeCount y
1466.36 s
[algebraic-graphs] OK: edgeCount (connect x y) >= vertexCount x * vertexCount y `div` 2
1466.36 s
[algebraic-graphs] OK: edgeCount (connect x y) <= vertexCount x * vertexCount y + edgeCount x + edgeCount y
1466.36 s
[algebraic-graphs] OK: vertexCount (connect 1 2) == 2
1466.36 s
[algebraic-graphs] OK: edgeCount (connect 1 2) == 1
1466.36 s
[algebraic-graphs]
1466.36 s
[algebraic-graphs] ============ Symmetric.Relation.vertices ============
1466.36 s
[algebraic-graphs] OK: vertices [] == empty
1466.36 s
[algebraic-graphs] OK: vertices [x] == vertex x
1466.36 s
[algebraic-graphs] OK: vertices == overlays . map vertex
1466.36 s
[algebraic-graphs] OK: hasVertex x . vertices == elem x
1466.36 s
[algebraic-graphs] OK: vertexCount . vertices == length . nub
1466.36 s
[algebraic-graphs] OK: vertexSet . vertices == Set.fromList
1466.36 s
[algebraic-graphs]
1466.36 s
[algebraic-graphs] ============ Symmetric.Relation.edges ============
1466.36 s
[algebraic-graphs] OK: edges [] == empty
1466.36 s
[algebraic-graphs] OK: edges [(x,y)] == edge x y
1466.36 s
[algebraic-graphs] OK: edges [(x,y), (y,x)] == edge x y
1466.36 s
[algebraic-graphs]
1466.36 s
[algebraic-graphs] ============ Symmetric.Relation.overlays ============
1466.36 s
[algebraic-graphs] OK: overlays [] == empty
1477.33 s
[algebraic-graphs] OK: overlays [x] == x
1477.34 s
[algebraic-graphs] OK: overlays [x,y] == overlay x y
1477.34 s
[algebraic-graphs] OK: overlays == foldr overlay empty
1477.34 s
[algebraic-graphs] OK: isEmpty . overlays == all isEmpty
1477.34 s
[algebraic-graphs]
1477.34 s
[algebraic-graphs] ============ Symmetric.Relation.connects ============
1477.34 s
[algebraic-graphs] OK: connects [] == empty
1477.34 s
[algebraic-graphs] OK: connects [x] == x
1477.34 s
[algebraic-graphs] OK: connects [x,y] == connect x y
1477.34 s
[algebraic-graphs] OK: connects == foldr connect empty
1477.34 s
[algebraic-graphs] OK: isEmpty . connects == all isEmpty
1477.34 s
[algebraic-graphs] OK: connects == connects . reverse
1477.34 s
[algebraic-graphs]
1477.34 s
[algebraic-graphs] ============ Symmetric.Relation.isSubgraphOf ============
1477.34 s
[algebraic-graphs] OK: isSubgraphOf empty x == True
1477.34 s
[algebraic-graphs] OK: isSubgraphOf (vertex x) empty == False
1477.34 s
[algebraic-graphs] OK: isSubgraphOf x (overlay x y) == True
1477.34 s
[algebraic-graphs] OK: isSubgraphOf (overlay x y) (connect x y) == True
1477.34 s
[algebraic-graphs] OK: isSubgraphOf (path xs) (circuit xs) == True
1477.34 s
[algebraic-graphs] OK: isSubgraphOf x y ==> x <= y
1477.34 s
[algebraic-graphs] OK: isSubgraphOf (edge x y) (edge y x) == True
1477.34 s
[algebraic-graphs]
1477.34 s
[algebraic-graphs] ============ Symmetric.Relation.toGraph et al. ============
1477.34 s
[algebraic-graphs] OK: toGraph == foldg Empty Vertex Overlay Connect
1477.34 s
[algebraic-graphs] OK: foldg == Algebra.Graph.foldg . toGraph
1477.34 s
[algebraic-graphs] OK: isEmpty == foldg True (const False) (&&) (&&)
1477.34 s
[algebraic-graphs] OK: size == foldg 1 (const 1) (+) (+)
1477.34 s
[algebraic-graphs] OK: hasVertex x == foldg False (==x) (||) (||)
1477.34 s
[algebraic-graphs] OK: hasEdge x y == Algebra.Graph.hasEdge x y . toGraph
1477.34 s
[algebraic-graphs] OK: vertexCount == Set.size . vertexSet
1477.34 s
[algebraic-graphs] OK: edgeCount == Set.size . edgeSet
1477.34 s
[algebraic-graphs] OK: vertexList == Set.toAscList . vertexSet
1477.34 s
[algebraic-graphs] OK: edgeList == Set.toAscList . edgeSet
1477.34 s
[algebraic-graphs] OK: vertexSet == foldg Set.empty Set.singleton Set.union Set.union
1477.34 s
[algebraic-graphs] OK: vertexIntSet == foldg IntSet.empty IntSet.singleton IntSet.union IntSet.union
1477.34 s
[algebraic-graphs] OK: adjacencyList == Algebra.Graph.AdjacencyMap.adjacencyList . toAdjacencyMap
1477.34 s
[algebraic-graphs] OK: adjacencyMap == Algebra.Graph.AdjacencyMap.adjacencyMap . toAdjacencyMap
1477.34 s
[algebraic-graphs] OK: adjacencyIntMap == Algebra.Graph.AdjacencyIntMap.adjacencyIntMap . toAdjacencyIntMap
1477.34 s
[algebraic-graphs] OK: adjacencyMapTranspose == Algebra.Graph.AdjacencyMap.adjacencyMap . toAdjacencyMapTranspose
1477.34 s
[algebraic-graphs] OK: adjacencyIntMapTranspose == Algebra.Graph.AdjacencyIntMap.adjacencyIntMap . toAdjacencyIntMapTranspose
1477.34 s
[algebraic-graphs] OK: dfsForest == Algebra.Graph.AdjacencyMap.dfsForest . toAdjacencyMap
1477.34 s
[algebraic-graphs] OK: dfsForestFrom == Algebra.Graph.AdjacencyMap.dfsForestFrom . toAdjacencyMap
1477.34 s
[algebraic-graphs] OK: dfs == Algebra.Graph.AdjacencyMap.dfs . toAdjacencyMap
1477.34 s
[algebraic-graphs] OK: reachable == Algebra.Graph.AdjacencyMap.reachable . toAdjacencyMap
1477.34 s
[algebraic-graphs] OK: topSort == Algebra.Graph.AdjacencyMap.topSort . toAdjacencyMap
1477.34 s
[algebraic-graphs] OK: isAcyclic == Algebra.Graph.AdjacencyMap.isAcyclic . toAdjacencyMap
1477.34 s
[algebraic-graphs] OK: isTopSortOf vs == Algebra.Graph.AdjacencyMap.isTopSortOf vs . toAdjacencyMap
1477.34 s
[algebraic-graphs] OK: toAdjacencyMap == foldg empty vertex overlay connect
1477.34 s
[algebraic-graphs] OK: toAdjacencyMapTranspose == foldg empty vertex overlay (flip connect)
1477.34 s
[algebraic-graphs] OK: toAdjacencyIntMap == foldg empty vertex overlay connect
1477.34 s
[algebraic-graphs] OK: toAdjacencyIntMapTranspose == foldg empty vertex overlay (flip connect)
1477.34 s
[algebraic-graphs] OK: isDfsForestOf f == Algebra.Graph.AdjacencyMap.isDfsForestOf f . toAdjacencyMap
1477.34 s
[algebraic-graphs] OK: isTopSortOf vs == Algebra.Graph.AdjacencyMap.isTopSortOf vs . toAdjacencyMap
1477.34 s
[algebraic-graphs]
1477.34 s
[algebraic-graphs] ============ Symmetric.Relation.isEmpty ============
1477.34 s
[algebraic-graphs] OK: isEmpty empty == True
1477.34 s
[algebraic-graphs] OK: isEmpty (overlay empty empty) == True
1477.34 s
[algebraic-graphs] OK: isEmpty (vertex x) == False
1477.34 s
[algebraic-graphs] OK: isEmpty (removeVertex x $ vertex x) == True
1477.34 s
[algebraic-graphs] OK: isEmpty (removeEdge x y $ edge x y) == False
1477.34 s
[algebraic-graphs]
1477.34 s
[algebraic-graphs] ============ Symmetric.Relation.hasVertex ============
1477.34 s
[algebraic-graphs] OK: hasVertex x empty == False
1477.34 s
[algebraic-graphs] OK: hasVertex x (vertex y) == (x == y)
1477.34 s
[algebraic-graphs] OK: hasVertex x . removeVertex x == const False
1477.34 s
[algebraic-graphs]
1477.34 s
[algebraic-graphs] ============ Symmetric.Relation.hasEdge ============
1477.34 s
[algebraic-graphs] OK: hasEdge x y empty == False
1477.34 s
[algebraic-graphs] OK: hasEdge x y (vertex z) == False
1477.34 s
[algebraic-graphs] OK: hasEdge x y (edge x y) == True
1477.34 s
[algebraic-graphs] OK: hasEdge x y (edge y x) == True
1477.34 s
[algebraic-graphs] OK: hasEdge x y . removeEdge x y == const False
1477.34 s
[algebraic-graphs] OK: hasEdge x y == elem (min x y, max x y) . edgeList
1477.34 s
[algebraic-graphs]
1477.34 s
[algebraic-graphs] ============ Symmetric.Relation.vertexCount ============
1477.34 s
[algebraic-graphs] OK: vertexCount empty == 0
1477.34 s
[algebraic-graphs] OK: vertexCount (vertex x) == 1
1477.34 s
[algebraic-graphs] OK: vertexCount == length . vertexList
1477.34 s
[algebraic-graphs] OK: vertexCount x < vertexCount y ==> x < y
1477.34 s
[algebraic-graphs]
1477.34 s
[algebraic-graphs] ============ Symmetric.Relation.edgeCount ============
1477.34 s
[algebraic-graphs] OK: edgeCount empty == 0
1477.34 s
[algebraic-graphs] OK: edgeCount (vertex x) == 0
1477.34 s
[algebraic-graphs] OK: edgeCount (edge x y) == 1
1477.34 s
[algebraic-graphs] OK: edgeCount == length . edgeList
1477.34 s
[algebraic-graphs]
1477.34 s
[algebraic-graphs] ============ Symmetric.Relation.vertexList ============
1477.34 s
[algebraic-graphs] OK: vertexList empty == []
1477.34 s
[algebraic-graphs] OK: vertexList (vertex x) == [x]
1477.34 s
[algebraic-graphs] OK: vertexList . vertices == nub . sort
1477.34 s
[algebraic-graphs]
1477.34 s
[algebraic-graphs] ============ Symmetric.Relation.vertexSet ============
1477.34 s
[algebraic-graphs] OK: vertexSet empty == Set.empty
1477.34 s
[algebraic-graphs] OK: vertexSet . vertex == Set.singleton
1477.34 s
[algebraic-graphs] OK: vertexSet . vertices == Set.fromList
1477.34 s
[algebraic-graphs]
1477.34 s
[algebraic-graphs] ============ Symmetric.Relation.vertexIntSet ============
1477.34 s
[algebraic-graphs] OK: vertexIntSet empty == IntSet.empty
1477.34 s
[algebraic-graphs] OK: vertexIntSet . vertex == IntSet.singleton
1477.34 s
[algebraic-graphs] OK: vertexIntSet . vertices == IntSet.fromList
1477.34 s
[algebraic-graphs] OK: vertexIntSet . clique == IntSet.fromList
1477.34 s
[algebraic-graphs]
1477.34 s
[algebraic-graphs] ============ Symmetric.Relation.edgeList ============
1477.34 s
[algebraic-graphs] OK: edgeList empty == []
1477.34 s
[algebraic-graphs] OK: edgeList (vertex x) == []
1477.34 s
[algebraic-graphs] OK: edgeList (edge x y) == [(min x y, max y x)]
1477.34 s
[algebraic-graphs] OK: edgeList (star 2 [3,1]) == [(1,2), (2,3)]
1477.34 s
[algebraic-graphs]
1477.34 s
[algebraic-graphs] ============ Symmetric.Relation.edgeSet ============
1477.34 s
[algebraic-graphs] OK: edgeSet empty == Set.empty
1477.34 s
[algebraic-graphs] OK: edgeSet (vertex x) == Set.empty
1477.34 s
[algebraic-graphs] OK: edgeSet (edge x y) == Set.singleton (min x y, max x y)
1477.34 s
[algebraic-graphs]
1477.34 s
[algebraic-graphs] ============ Symmetric.Relation.adjacencyList ============
1477.34 s
[algebraic-graphs] OK: adjacencyList empty == []
1477.34 s
[algebraic-graphs] OK: adjacencyList (vertex x) == [(x, [])]
1477.34 s
[algebraic-graphs] OK: adjacencyList (edge 1 2) == [(1, [2]), (2, [1])]
1477.34 s
[algebraic-graphs] OK: adjacencyList (star 2 [3,1]) == [(1, [2]), (2, [1,3]), (3, [2])]
1477.34 s
[algebraic-graphs]
1477.34 s
[algebraic-graphs] ============ Symmetric.Relation.neighbours ============
1477.34 s
[algebraic-graphs] OK: neighbours x empty == Set.empty
1477.34 s
[algebraic-graphs] OK: neighbours x (vertex x) == Set.empty
1477.34 s
[algebraic-graphs] OK: neighbours x (edge x y) == Set.fromList [y]
1477.34 s
[algebraic-graphs] OK: neighbours y (edge x y) == Set.fromList [x]
1477.34 s
[algebraic-graphs]
1477.34 s
[algebraic-graphs] ============ Symmetric.Relation.path ============
1477.34 s
[algebraic-graphs] OK: path [] == empty
1477.34 s
[algebraic-graphs] OK: path [x] == vertex x
1477.34 s
[algebraic-graphs] OK: path [x,y] == edge x y
1477.34 s
[algebraic-graphs] OK: path == path . reverse
1477.34 s
[algebraic-graphs]
1477.34 s
[algebraic-graphs] ============ Symmetric.Relation.circuit ============
1477.34 s
[algebraic-graphs] OK: circuit [] == empty
1477.34 s
[algebraic-graphs] OK: circuit [x] == edge x x
1477.34 s
[algebraic-graphs] OK: circuit [x,y] == edges [(x,y), (y,x)]
1477.34 s
[algebraic-graphs] OK: circuit == circuit . reverse
1477.34 s
[algebraic-graphs]
1477.34 s
[algebraic-graphs] ============ Symmetric.Relation.clique ============
1477.34 s
[algebraic-graphs] OK: clique [] == empty
1477.34 s
[algebraic-graphs] OK: clique [x] == vertex x
1477.34 s
[algebraic-graphs] OK: clique [x,y] == edge x y
1477.34 s
[algebraic-graphs] OK: clique [x,y,z] == edges [(x,y), (x,z), (y,z)]
1477.34 s
[algebraic-graphs] OK: clique (xs ++ ys) == connect (clique xs) (clique ys)
1477.34 s
[algebraic-graphs] OK: clique == clique . reverse
1477.34 s
[algebraic-graphs]
1477.34 s
[algebraic-graphs] ============ Symmetric.Relation.biclique ============
1477.34 s
[algebraic-graphs] OK: biclique [] [] == empty
1477.34 s
[algebraic-graphs] OK: biclique [x] [] == vertex x
1477.34 s
[algebraic-graphs] OK: biclique [] [y] == vertex y
1477.34 s
[algebraic-graphs] OK: biclique [x1,x2] [y1,y2] == edges [(x1,y1), (x1,y2), (x2,y1), (x2,y2)]
1477.34 s
[algebraic-graphs] OK: biclique xs ys == connect (vertices xs) (vertices ys)
1477.34 s
[algebraic-graphs]
1477.34 s
[algebraic-graphs] ============ Symmetric.Relation.star ============
1477.34 s
[algebraic-graphs] OK: star x [] == vertex x
1477.34 s
[algebraic-graphs] OK: star x [y] == edge x y
1477.34 s
[algebraic-graphs] OK: star x [y,z] == edges [(x,y), (x,z)]
1477.34 s
[algebraic-graphs] OK: star x ys == connect (vertex x) (vertices ys)
1477.34 s
[algebraic-graphs]
1477.34 s
[algebraic-graphs] ============ Symmetric.Relation.stars ============
1477.34 s
[algebraic-graphs] OK: stars [] == empty
1477.34 s
[algebraic-graphs] OK: stars [(x, [])] == vertex x
1477.34 s
[algebraic-graphs] OK: stars [(x, [y])] == edge x y
1477.34 s
[algebraic-graphs] OK: stars [(x, ys)] == star x ys
1477.34 s
[algebraic-graphs] OK: stars == overlays . map (uncurry star)
1477.34 s
[algebraic-graphs] OK: stars . adjacencyList == id
1477.34 s
[algebraic-graphs] OK: overlay (stars xs) (stars ys) == stars (xs ++ ys)
1477.34 s
[algebraic-graphs]
1477.34 s
[algebraic-graphs] ============ Symmetric.Relation.tree ============
1477.34 s
[algebraic-graphs] OK: tree (Node x []) == vertex x
1477.34 s
[algebraic-graphs] OK: tree (Node x [Node y [Node z []]]) == path [x,y,z]
1477.34 s
[algebraic-graphs] OK: tree (Node x [Node y [], Node z []]) == star x [y,z]
1477.34 s
[algebraic-graphs] OK: tree (Node 1 [Node 2 [], Node 3 [Node 4 [], Node 5 []]]) == edges [(1,2), (1,3), (3,4), (3,5)]
1477.34 s
[algebraic-graphs]
1477.34 s
[algebraic-graphs] ============ Symmetric.Relation.forest ============
1477.34 s
[algebraic-graphs] OK: forest [] == empty
1483.70 s
[algebraic-graphs] OK: forest [x] == tree x
1483.70 s
[algebraic-graphs] OK: forest [Node 1 [Node 2 [], Node 3 []], Node 4 [Node 5 []]] == edges [(1,2), (1,3), (4,5)]
1483.71 s
[algebraic-graphs] OK: forest == overlays . map tree
1483.71 s
[algebraic-graphs]
1483.71 s
[algebraic-graphs] ============ Symmetric.Relation.removeVertex ============
1483.71 s
[algebraic-graphs] OK: removeVertex x (vertex x) == empty
1483.71 s
[algebraic-graphs] OK: removeVertex 1 (vertex 2) == vertex 2
1483.71 s
[algebraic-graphs] OK: removeVertex x (edge x x) == empty
1483.71 s
[algebraic-graphs] OK: removeVertex 1 (edge 1 2) == vertex 2
1483.71 s
[algebraic-graphs] OK: removeVertex x . removeVertex x == removeVertex x
1483.71 s
[algebraic-graphs]
1483.71 s
[algebraic-graphs] ============ Symmetric.Relation.removeEdge ============
1483.71 s
[algebraic-graphs] OK: removeEdge x y (edge x y) == vertices [x,y]
1483.71 s
[algebraic-graphs] OK: removeEdge x y . removeEdge x y == removeEdge x y
1483.71 s
[algebraic-graphs] OK: removeEdge x y . removeVertex x == removeVertex x
1483.71 s
[algebraic-graphs] OK: removeEdge 1 1 (1 * 1 * 2 * 2) == 1 * 2 * 2
1483.71 s
[algebraic-graphs] OK: removeEdge 1 2 (1 * 1 * 2 * 2) == 1 * 1 + 2 * 2
1483.71 s
[algebraic-graphs] OK: removeEdge x y == removeEdge y x
1483.71 s
[algebraic-graphs]
1483.71 s
[algebraic-graphs] ============ Symmetric.Relation.replaceVertex ============
1483.71 s
[algebraic-graphs] OK: replaceVertex x x == id
1483.71 s
[algebraic-graphs] OK: replaceVertex x y (vertex x) == vertex y
1483.71 s
[algebraic-graphs] OK: replaceVertex x y == mergeVertices (== x) y
1483.71 s
[algebraic-graphs]
1483.71 s
[algebraic-graphs] ============ Symmetric.Relation.mergeVertices ============
1483.71 s
[algebraic-graphs] OK: mergeVertices (const False) x == id
1483.71 s
[algebraic-graphs] OK: mergeVertices (== x) y == replaceVertex x y
1483.71 s
[algebraic-graphs] OK: mergeVertices even 1 (0 * 2) == 1 * 1
1483.71 s
[algebraic-graphs] OK: mergeVertices odd 1 (3 + 4 * 5) == 4 * 1
1483.71 s
[algebraic-graphs]
1483.71 s
[algebraic-graphs] ============ Symmetric.Relation.gmap ============
1483.71 s
[algebraic-graphs] OK: gmap f empty == empty
1483.71 s
[algebraic-graphs] OK: gmap f (vertex x) == vertex (f x)
1483.71 s
[algebraic-graphs] OK: gmap f (edge x y) == edge (f x) (f y)
1483.71 s
[algebraic-graphs] OK: gmap id == id
1483.71 s
[algebraic-graphs] OK: gmap f . gmap g == gmap (f . g)
1483.71 s
[algebraic-graphs]
1483.71 s
[algebraic-graphs] ============ Symmetric.Relation.induce ============
1483.71 s
[algebraic-graphs] OK: induce (const True ) x == x
1483.71 s
[algebraic-graphs] OK: induce (const False) x == empty
1483.71 s
[algebraic-graphs] OK: induce (/= x) == removeVertex x
1483.71 s
[algebraic-graphs] OK: induce p . induce q == induce (\x -> p x && q x)
1483.71 s
[algebraic-graphs] OK: isSubgraphOf (induce p x) x == True
1483.71 s
[algebraic-graphs]
1483.71 s
[algebraic-graphs] ============ Symmetric.Relation.induceJust ============
1483.71 s
[algebraic-graphs] OK: induceJust (vertex Nothing) == empty
1483.71 s
[algebraic-graphs] OK: induceJust (edge (Just x) Nothing) == vertex x
1483.71 s
[algebraic-graphs] OK: induceJust . gmap Just == id
1483.71 s
[algebraic-graphs] OK: induceJust . gmap (\x -> if p x then Just x else Nothing) == induce p
1483.71 s
[algebraic-graphs]
1483.71 s
[algebraic-graphs] ============ Example.Todo (Holiday) ============
1483.71 s
[algebraic-graphs] OK: A todo list is semantically Maybe [a]
1483.71 s
[algebraic-graphs] OK: The overlay operator (+) adds non-dependent items to the todo list
1483.71 s
[algebraic-graphs] OK: The connect operator (*) adds dependency between items
1483.71 s
[algebraic-graphs] OK: Contradictory constraints make the todo list impossible to schedule
1483.71 s
[algebraic-graphs] OK: Introduce item priority to schedule the todo list
1483.71 s
[algebraic-graphs] OK: Custom connect operators pull/repel arguments during scheduling
1483.72 s
[algebraic-graphs]
1483.72 s
[algebraic-graphs] ============ Example.Todo (Commandline) ============
1483.72 s
[algebraic-graphs] OK: The pull connect operator maintains command line semantics
1483.72 s
[algebraic-graphs] OK: Swapping flags are allowed by the commutative overlay opeartor
1483.72 s
[algebraic-graphs] OK: The usual connect operator breaks semantics
1483.72 s
[algebraic-graphs] OK: Transform command lines by adding optimisation flag
1483.72 s
[algebraic-graphs]
1483.72 s
[algebraic-graphs] ============ Typed ============
1483.72 s
[algebraic-graphs]
1483.72 s
[algebraic-graphs] ============ Typed.fromAdjacencyMap ============
1483.72 s
[algebraic-graphs] OK: toGraphKL (fromAdjacencyMap (1 * 2 + 3 * 1)) == array (0,2) [(0,[1]), (1,[]), (2,[0])]
1483.72 s
[algebraic-graphs] OK: toGraphKL (fromAdjacencyMap (1 * 2 + 2 * 1)) == array (0,1) [(0,[1]), (1,[0])]
1483.72 s
[algebraic-graphs] OK: map (fromVertexKL h) (vertices $ toGraphKL h) == vertexList g
1483.72 s
[algebraic-graphs] OK: map (\(x, y) -> (fromVertexKL h x, fromVertexKL h y)) (edges $ toGraphKL h) == edgeList g
1483.72 s
[algebraic-graphs]
1483.72 s
[algebraic-graphs] ============ Typed.fromAdjacencyIntMap ============
1483.72 s
[algebraic-graphs] OK: toGraphKL (fromAdjacencyIntMap (1 * 2 + 3 * 1)) == array (0,2) [(0,[1]), (1,[]), (2,[0])]
1483.72 s
[algebraic-graphs] OK: toGraphKL (fromAdjacencyIntMap (1 * 2 + 2 * 1)) == array (0,1) [(0,[1]), (1,[0])]
1483.72 s
[algebraic-graphs] OK: map (fromVertexKL h) (vertices $ toGraphKL h) == IntSet.toAscList (vertexIntSet g)
1483.72 s
[algebraic-graphs] OK: map (\(x, y) -> (fromVertexKL h x, fromVertexKL h y)) (edges $ toGraphKL h) == edgeList g
1483.72 s
[algebraic-graphs]
1483.72 s
[algebraic-graphs] ============ Typed.dfsForest ============
1483.72 s
[algebraic-graphs] OK: forest (dfsForest % edge 1 1) == vertex 1
1483.72 s
[algebraic-graphs] OK: forest (dfsForest % edge 1 2) == edge 1 2
1483.72 s
[algebraic-graphs] OK: forest (dfsForest % edge 2 1) == vertices [1, 2]
1483.72 s
[algebraic-graphs] OK: isSubgraphOf (forest $ dfsForest % x) x == True
1483.72 s
[algebraic-graphs] OK: dfsForest % forest (dfsForest % x) == dfsForest % x
1483.72 s
[algebraic-graphs] OK: dfsForest % vertices vs == map (\v -> Node v []) (nub $ sort vs)
1483.72 s
[algebraic-graphs] OK: dfsForest % (3 * (1 + 4) * (1 + 5)) == <correct result>
1483.72 s
[algebraic-graphs]
1483.72 s
[algebraic-graphs] ============ Typed.dfsForestFrom ============
1483.72 s
[algebraic-graphs] OK: forest $ (dfsForestFrom % edge 1 1) [1] == vertex 1
1483.72 s
[algebraic-graphs] OK: forest $ (dfsForestFrom % edge 1 2) [0] == empty
1483.72 s
[algebraic-graphs] OK: forest $ (dfsForestFrom % edge 1 2) [1] == edge 1 2
1483.72 s
[algebraic-graphs] OK: forest $ (dfsForestFrom % edge 1 2) [2] == vertex 2
1483.72 s
[algebraic-graphs] OK: forest $ (dfsForestFrom % edge 1 2) [2,1] == vertices [1,2]
1483.72 s
[algebraic-graphs] OK: isSubgraphOf (forest $ dfsForestFrom % x $ vs) x == True
1483.72 s
[algebraic-graphs] OK: dfsForestFrom % x $ vertexList x == dfsForest % x
1483.72 s
[algebraic-graphs] OK: dfsForestFrom % vertices vs $ vs == map (\v -> Node v []) (nub vs)
1483.72 s
[algebraic-graphs] OK: dfsForestFrom % x $ [] == []
1483.72 s
[algebraic-graphs] OK: dfsForestFrom % (3 * (1 + 4) * (1 + 5)) $ [1,4] == <correct result>
1483.72 s
[algebraic-graphs]
1483.72 s
[algebraic-graphs] ============ Typed.dfs ============
1483.72 s
[algebraic-graphs] OK: dfs % edge 1 1 $ [1] == [1]
1483.72 s
[algebraic-graphs] OK: dfs % edge 1 2 $ [0] == []
1483.72 s
[algebraic-graphs] OK: dfs % edge 1 2 $ [1] == [1,2]
1483.72 s
[algebraic-graphs] OK: dfs % edge 1 2 $ [2] == [2]
1483.72 s
[algebraic-graphs] OK: dfs % edge 1 2 $ [1,2] == [1,2]
1483.72 s
[algebraic-graphs] OK: dfs % edge 1 2 $ [2,1] == [2,1]
1483.72 s
[algebraic-graphs] OK: dfs % x $ [] == []
1483.72 s
[algebraic-graphs]
1483.72 s
[algebraic-graphs] OK: dfs % (3 * (1 + 4) * (1 + 5)) $ [1,4] == [1,5,4]
1483.72 s
[algebraic-graphs] OK: and [ hasVertex v x | v <- dfs % x $ vs ] == True
1483.72 s
[algebraic-graphs]
1483.72 s
[algebraic-graphs] ============ Typed.topSort ============
1483.72 s
[algebraic-graphs] OK: topSort % (1 * 2 + 3 * 1) == [3,1,2]
1483.72 s
[algebraic-graphs] OK: topSort % (1 * 2 + 2 * 1) == [1,2]
1483.72 s
[algebraic-graphs]
1483.72 s
[algebraic-graphs] ============ Graph.Undirected ============
1483.72 s
[algebraic-graphs] OK: Axioms of undirected graphs
1483.72 s
[algebraic-graphs]
1483.72 s
[algebraic-graphs] ============ Graph.Undirected.Show ============
1483.72 s
[algebraic-graphs] OK: show (empty ) == "empty"
1483.72 s
[algebraic-graphs] OK: show (1 ) == "vertex 1"
1483.72 s
[algebraic-graphs] OK: show (1 + 2 ) == "vertices [1,2]"
1483.72 s
[algebraic-graphs] OK: show (1 * 2 ) == "edge 1 2"
1483.72 s
[algebraic-graphs] OK: show (1 * 2 * 3) == "edges [(1,2),(1,3),(2,3)]"
1483.72 s
[algebraic-graphs] OK: show (1 * 2 + 3) == "overlay (vertex 3) (edge 1 2)"
1483.72 s
[algebraic-graphs]
1483.72 s
[algebraic-graphs] OK: show (vertex (-1) ) == "vertex (-1)"
1483.72 s
[algebraic-graphs] OK: show (vertex (-1) + vertex (-2) ) == "vertices [-2,-1]"
1483.72 s
[algebraic-graphs] OK: show (vertex (-2) * vertex (-1) ) == "edge (-2) (-1)"
1483.72 s
[algebraic-graphs] OK: show (vertex (-3) * vertex (-2) * vertex (-1)) == "edges [(-3,-2),(-3,-1),(-2,-1)]"
1483.72 s
[algebraic-graphs] OK: show (vertex (-3) * vertex (-2) + vertex (-1)) == "overlay (vertex (-1)) (edge (-3) (-2))"
1483.72 s
[algebraic-graphs]
1483.72 s
[algebraic-graphs] OK: show (2 * 1 ) == "edge 1 2"
1483.72 s
[algebraic-graphs] OK: show (1 * 2 * 1) == "edges [(1,1),(1,2)]"
1483.72 s
[algebraic-graphs] OK: show (3 * 2 * 1) == "edges [(1,2),(1,3),(2,3)]"
1483.72 s
[algebraic-graphs]
1483.72 s
[algebraic-graphs] ============ Graph.Undirected.toUndirected ============
1483.72 s
[algebraic-graphs] OK: toUndirected (edge 1 2) == edge 1 2
1483.72 s
[algebraic-graphs] OK: toUndirected . fromUndirected == id
1483.72 s
[algebraic-graphs] OK: vertexCount . toUndirected == vertexCount
1483.72 s
[algebraic-graphs] OK: (*2) . edgeCount . toUndirected >= edgeCount
1483.72 s
[algebraic-graphs]
1483.72 s
[algebraic-graphs] ============ Graph.Undirected.fromUndirected ============
1483.72 s
[algebraic-graphs] OK: fromUndirected (edge 1 2) == edges [(1,2),(2,1)]
1483.72 s
[algebraic-graphs] OK: toUndirected . fromUndirected == id
1483.72 s
[algebraic-graphs] OK: vertexCount . fromUndirected == vertexCount
1483.72 s
[algebraic-graphs] OK: edgeCount . fromUndirected <= (*2) . edgeCount
1483.72 s
[algebraic-graphs]
1483.72 s
[algebraic-graphs] ============ Graph.Undirected.complement ================
1483.72 s
[algebraic-graphs] OK: complement empty == empty
1483.72 s
[algebraic-graphs] OK: complement (vertex x) == vertex x
1483.72 s
[algebraic-graphs] OK: complement (edge 1 1) == edge 1 1
1483.72 s
[algebraic-graphs] OK: complement (edge 1 2) == vertices [1, 2]
1483.72 s
[algebraic-graphs] OK: complement (star 1 [2, 3]) == overlay (vertex 1) (edge 2 3)
1483.72 s
[algebraic-graphs] OK: complement . complement == id
1483.72 s
[algebraic-graphs]
1483.72 s
[algebraic-graphs] ============ Graph.Undirected.Ord ============
1483.72 s
[algebraic-graphs] OK: vertex 1 < vertex 2
1483.72 s
[algebraic-graphs] OK: vertex 3 < edge 1 2
1483.72 s
[algebraic-graphs] OK: vertex 1 < edge 1 1
1483.72 s
[algebraic-graphs] OK: edge 1 1 < edge 1 2
1483.72 s
[algebraic-graphs] OK: edge 1 2 < edge 1 1 + edge 2 2
1483.72 s
[algebraic-graphs] OK: edge 2 1 < edge 1 3
1483.72 s
[algebraic-graphs] OK: edge 1 2 == edge 2 1
1483.72 s
[algebraic-graphs] OK: x <= x + y
1483.72 s
[algebraic-graphs] OK: x + y <= x * y
1483.72 s
[algebraic-graphs]
1483.72 s
[algebraic-graphs] ============ Graph.Undirected.empty ============
1483.72 s
[algebraic-graphs] OK: isEmpty empty == True
1483.72 s
[algebraic-graphs] OK: hasVertex x empty == False
1483.72 s
[algebraic-graphs] OK: vertexCount empty == 0
1483.72 s
[algebraic-graphs] OK: edgeCount empty == 0
1483.72 s
[algebraic-graphs]
1483.72 s
[algebraic-graphs] ============ Graph.Undirected.vertex ============
1483.72 s
[algebraic-graphs] OK: isEmpty (vertex x) == False
1483.72 s
[algebraic-graphs] OK: hasVertex x (vertex y) == (x == y)
1483.72 s
[algebraic-graphs] OK: vertexCount (vertex x) == 1
1483.72 s
[algebraic-graphs] OK: edgeCount (vertex x) == 0
1483.72 s
[algebraic-graphs]
1483.72 s
[algebraic-graphs] ============ Graph.Undirected.edge ============
1483.72 s
[algebraic-graphs] OK: edge x y == connect (vertex x) (vertex y)
1483.72 s
[algebraic-graphs] OK: edge x y == edge y x
1491.52 s
[algebraic-graphs] OK: edge x y == edges [(x,y), (y,x)]
1491.52 s
[algebraic-graphs] OK: hasEdge x y (edge x y) == True
1491.52 s
[algebraic-graphs] OK: edgeCount (edge x y) == 1
1491.53 s
[algebraic-graphs] OK: vertexCount (edge 1 1) == 1
1491.53 s
[algebraic-graphs] OK: vertexCount (edge 1 2) == 2
1491.53 s
[algebraic-graphs]
1491.53 s
[algebraic-graphs] ============ Graph.Undirected.overlay ============
1491.53 s
[algebraic-graphs] OK: isEmpty (overlay x y) == isEmpty x && isEmpty y
1491.53 s
[algebraic-graphs] OK: hasVertex z (overlay x y) == hasVertex z x || hasVertex z y
1491.53 s
[algebraic-graphs] OK: vertexCount (overlay x y) >= vertexCount x
1491.53 s
[algebraic-graphs] OK: vertexCount (overlay x y) <= vertexCount x + vertexCount y
1491.53 s
[algebraic-graphs] OK: edgeCount (overlay x y) >= edgeCount x
1491.53 s
[algebraic-graphs] OK: edgeCount (overlay x y) <= edgeCount x + edgeCount y
1491.53 s
[algebraic-graphs] OK: vertexCount (overlay 1 2) == 2
1491.53 s
[algebraic-graphs] OK: edgeCount (overlay 1 2) == 0
1491.53 s
[algebraic-graphs]
1491.53 s
[algebraic-graphs] ============ Graph.Undirected.connect ============
1491.53 s
[algebraic-graphs] OK: connect x y == connect y x
1491.53 s
[algebraic-graphs] OK: isEmpty (connect x y) == isEmpty x && isEmpty y
1491.53 s
[algebraic-graphs] OK: hasVertex z (connect x y) == hasVertex z x || hasVertex z y
1491.53 s
[algebraic-graphs] OK: vertexCount (connect x y) >= vertexCount x
1491.53 s
[algebraic-graphs] OK: vertexCount (connect x y) <= vertexCount x + vertexCount y
1491.53 s
[algebraic-graphs] OK: edgeCount (connect x y) >= edgeCount x
1491.53 s
[algebraic-graphs] OK: edgeCount (connect x y) >= edgeCount y
1491.53 s
[algebraic-graphs] OK: edgeCount (connect x y) >= vertexCount x * vertexCount y `div` 2
1491.53 s
[algebraic-graphs] OK: edgeCount (connect x y) <= vertexCount x * vertexCount y + edgeCount x + edgeCount y
1491.53 s
[algebraic-graphs] OK: vertexCount (connect 1 2) == 2
1491.53 s
[algebraic-graphs] OK: edgeCount (connect 1 2) == 1
1491.53 s
[algebraic-graphs]
1491.53 s
[algebraic-graphs] ============ Graph.Undirected.vertices ============
1491.53 s
[algebraic-graphs] OK: vertices [] == empty
1491.53 s
[algebraic-graphs] OK: vertices [x] == vertex x
1491.53 s
[algebraic-graphs] OK: vertices == overlays . map vertex
1491.53 s
[algebraic-graphs] OK: hasVertex x . vertices == elem x
1491.53 s
[algebraic-graphs] OK: vertexCount . vertices == length . nub
1491.53 s
[algebraic-graphs] OK: vertexSet . vertices == Set.fromList
1491.53 s
[algebraic-graphs]
1491.53 s
[algebraic-graphs] ============ Graph.Undirected.edges ============
1491.53 s
[algebraic-graphs] OK: edges [] == empty
1491.53 s
[algebraic-graphs] OK: edges [(x,y)] == edge x y
1491.53 s
[algebraic-graphs] OK: edges [(x,y), (y,x)] == edge x y
1491.53 s
[algebraic-graphs]
1491.53 s
[algebraic-graphs] ============ Graph.Undirected.overlays ============
1491.53 s
[algebraic-graphs] OK: overlays [] == empty
1491.53 s
[algebraic-graphs] OK: overlays [x] == x
1491.53 s
[algebraic-graphs] OK: overlays [x,y] == overlay x y
1491.53 s
[algebraic-graphs] OK: overlays == foldr overlay empty
1491.53 s
[algebraic-graphs] OK: isEmpty . overlays == all isEmpty
1491.53 s
[algebraic-graphs]
1491.53 s
[algebraic-graphs] ============ Graph.Undirected.connects ============
1491.53 s
[algebraic-graphs] OK: connects [] == empty
1491.53 s
[algebraic-graphs] OK: connects [x] == x
1491.53 s
[algebraic-graphs] OK: connects [x,y] == connect x y
1491.53 s
[algebraic-graphs] OK: connects == foldr connect empty
1491.53 s
[algebraic-graphs] OK: isEmpty . connects == all isEmpty
1491.53 s
[algebraic-graphs] OK: connects == connects . reverse
1491.53 s
[algebraic-graphs]
1491.53 s
[algebraic-graphs] ============ Graph.Undirected.isSubgraphOf ============
1491.53 s
[algebraic-graphs] OK: isSubgraphOf empty x == True
1491.53 s
[algebraic-graphs] OK: isSubgraphOf (vertex x) empty == False
1491.53 s
[algebraic-graphs] OK: isSubgraphOf x (overlay x y) == True
1491.53 s
[algebraic-graphs] OK: isSubgraphOf (overlay x y) (connect x y) == True
1491.53 s
[algebraic-graphs] OK: isSubgraphOf (path xs) (circuit xs) == True
1491.53 s
[algebraic-graphs] OK: isSubgraphOf x y ==> x <= y
1491.53 s
[algebraic-graphs] OK: isSubgraphOf (edge x y) (edge y x) == True
1491.53 s
[algebraic-graphs]
1491.53 s
[algebraic-graphs] ============ Graph.Undirected.path ============
1491.53 s
[algebraic-graphs] OK: path [] == empty
1491.53 s
[algebraic-graphs] OK: path [x] == vertex x
1491.53 s
[algebraic-graphs] OK: path [x,y] == edge x y
1491.53 s
[algebraic-graphs] OK: path == path . reverse
1491.53 s
[algebraic-graphs]
1491.53 s
[algebraic-graphs] ============ Graph.Undirected.circuit ============
1491.53 s
[algebraic-graphs] OK: circuit [] == empty
1491.53 s
[algebraic-graphs] OK: circuit [x] == edge x x
1491.53 s
[algebraic-graphs] OK: circuit [x,y] == edges [(x,y), (y,x)]
1491.53 s
[algebraic-graphs] OK: circuit == circuit . reverse
1491.53 s
[algebraic-graphs]
1491.53 s
[algebraic-graphs] ============ Graph.Undirected.clique ============
1491.53 s
[algebraic-graphs] OK: clique [] == empty
1491.53 s
[algebraic-graphs] OK: clique [x] == vertex x
1491.53 s
[algebraic-graphs] OK: clique [x,y] == edge x y
1491.53 s
[algebraic-graphs] OK: clique [x,y,z] == edges [(x,y), (x,z), (y,z)]
1491.53 s
[algebraic-graphs] OK: clique (xs ++ ys) == connect (clique xs) (clique ys)
1491.53 s
[algebraic-graphs] OK: clique == clique . reverse
1491.53 s
[algebraic-graphs]
1491.53 s
[algebraic-graphs] ============ Graph.Undirected.biclique ============
1491.53 s
[algebraic-graphs] OK: biclique [] [] == empty
1491.53 s
[algebraic-graphs] OK: biclique [x] [] == vertex x
1491.53 s
[algebraic-graphs] OK: biclique [] [y] == vertex y
1491.53 s
[algebraic-graphs] OK: biclique [x1,x2] [y1,y2] == edges [(x1,y1), (x1,y2), (x2,y1), (x2,y2)]
1491.53 s
[algebraic-graphs] OK: biclique xs ys == connect (vertices xs) (vertices ys)
1491.53 s
[algebraic-graphs]
1491.53 s
[algebraic-graphs] ============ Graph.Undirected.star ============
1491.53 s
[algebraic-graphs] OK: star x [] == vertex x
1491.53 s
[algebraic-graphs] OK: star x [y] == edge x y
1491.53 s
[algebraic-graphs] OK: star x [y,z] == edges [(x,y), (x,z)]
1491.53 s
[algebraic-graphs] OK: star x ys == connect (vertex x) (vertices ys)
1491.53 s
[algebraic-graphs]
1491.53 s
[algebraic-graphs] ============ Graph.Undirected.stars ============
1491.53 s
[algebraic-graphs] OK: stars [] == empty
1491.53 s
[algebraic-graphs] OK: stars [(x, [])] == vertex x
1491.53 s
[algebraic-graphs] OK: stars [(x, [y])] == edge x y
1491.53 s
[algebraic-graphs] OK: stars [(x, ys)] == star x ys
1491.53 s
[algebraic-graphs] OK: stars == overlays . map (uncurry star)
1491.53 s
[algebraic-graphs] OK: stars . adjacencyList == id
1491.53 s
[algebraic-graphs] OK: overlay (stars xs) (stars ys) == stars (xs ++ ys)
1491.53 s
[algebraic-graphs]
1491.53 s
[algebraic-graphs] ============ Graph.Undirected.tree ============
1491.53 s
[algebraic-graphs] OK: tree (Node x []) == vertex x
1491.53 s
[algebraic-graphs] OK: tree (Node x [Node y [Node z []]]) == path [x,y,z]
1491.53 s
[algebraic-graphs] OK: tree (Node x [Node y [], Node z []]) == star x [y,z]
1491.53 s
[algebraic-graphs] OK: tree (Node 1 [Node 2 [], Node 3 [Node 4 [], Node 5 []]]) == edges [(1,2), (1,3), (3,4), (3,5)]
1491.53 s
[algebraic-graphs]
1491.53 s
[algebraic-graphs] ============ Graph.Undirected.forest ============
1491.53 s
[algebraic-graphs] OK: forest [] == empty
1491.53 s
[algebraic-graphs] OK: forest [x] == tree x
1491.53 s
[algebraic-graphs] OK: forest [Node 1 [Node 2 [], Node 3 []], Node 4 [Node 5 []]] == edges [(1,2), (1,3), (4,5)]
1491.53 s
[algebraic-graphs] OK: forest == overlays . map tree
1491.53 s
[algebraic-graphs]
1491.53 s
[algebraic-graphs] ============ Graph.Undirected.removeVertex ============
1491.53 s
[algebraic-graphs] OK: removeVertex x (vertex x) == empty
1491.53 s
[algebraic-graphs] OK: removeVertex 1 (vertex 2) == vertex 2
1491.53 s
[algebraic-graphs] OK: removeVertex x (edge x x) == empty
1491.53 s
[algebraic-graphs] OK: removeVertex 1 (edge 1 2) == vertex 2
1491.53 s
[algebraic-graphs] OK: removeVertex x . removeVertex x == removeVertex x
1491.53 s
[algebraic-graphs]
1491.53 s
[algebraic-graphs] ============ Graph.Undirected.removeEdge ============
1491.53 s
[algebraic-graphs] OK: removeEdge x y (edge x y) == vertices [x,y]
1491.53 s
[algebraic-graphs] OK: removeEdge x y . removeEdge x y == removeEdge x y
1491.53 s
[algebraic-graphs] OK: removeEdge x y . removeVertex x == removeVertex x
1491.53 s
[algebraic-graphs] OK: removeEdge 1 1 (1 * 1 * 2 * 2) == 1 * 2 * 2
1491.53 s
[algebraic-graphs] OK: removeEdge 1 2 (1 * 1 * 2 * 2) == 1 * 1 + 2 * 2
1491.53 s
[algebraic-graphs] OK: removeEdge x y == removeEdge y x
1491.53 s
[algebraic-graphs]
1491.53 s
[algebraic-graphs] ============ Graph.Undirected.replaceVertex ============
1491.53 s
[algebraic-graphs] OK: replaceVertex x x == id
1491.53 s
[algebraic-graphs] OK: replaceVertex x y (vertex x) == vertex y
1491.53 s
[algebraic-graphs] OK: replaceVertex x y == mergeVertices (== x) y
1491.53 s
[algebraic-graphs]
1491.53 s
[algebraic-graphs] ============ Graph.Undirected.mergeVertices ============
1491.53 s
[algebraic-graphs] OK: mergeVertices (const False) x == id
1491.53 s
[algebraic-graphs] OK: mergeVertices (== x) y == replaceVertex x y
1491.53 s
[algebraic-graphs] OK: mergeVertices even 1 (0 * 2) == 1 * 1
1491.53 s
[algebraic-graphs] OK: mergeVertices odd 1 (3 + 4 * 5) == 4 * 1
1491.53 s
[algebraic-graphs]
1491.53 s
[algebraic-graphs] ============ Graph.Undirected.gmap ============
1491.53 s
[algebraic-graphs] OK: gmap f empty == empty
1491.53 s
[algebraic-graphs] OK: gmap f (vertex x) == vertex (f x)
1491.53 s
[algebraic-graphs] OK: gmap f (edge x y) == edge (f x) (f y)
1491.53 s
[algebraic-graphs] OK: gmap id == id
1491.53 s
[algebraic-graphs] OK: gmap f . gmap g == gmap (f . g)
1491.53 s
[algebraic-graphs]
1491.53 s
[algebraic-graphs] ============ Graph.Undirected.induce ============
1491.53 s
[algebraic-graphs] OK: induce (const True ) x == x
1491.53 s
[algebraic-graphs] OK: induce (const False) x == empty
1491.53 s
[algebraic-graphs] OK: induce (/= x) == removeVertex x
1491.53 s
[algebraic-graphs] OK: induce p . induce q == induce (\x -> p x && q x)
1491.53 s
[algebraic-graphs] OK: isSubgraphOf (induce p x) x == True
1491.53 s
[algebraic-graphs]
1491.53 s
[algebraic-graphs] ============ Graph.Undirected.induceJust ============
1491.53 s
[algebraic-graphs] OK: induceJust (vertex Nothing) == empty
1491.54 s
[algebraic-graphs] OK: induceJust (edge (Just x) Nothing) == vertex x
1491.54 s
[algebraic-graphs] OK: induceJust . gmap Just == id
1491.54 s
[algebraic-graphs] OK: induceJust . gmap (\x -> if p x then Just x else Nothing) == induce p
1491.54 s
[algebraic-graphs] Test suite main: PASS
1491.54 s
[algebraic-graphs] Test suite logged to: dist/test/algebraic-graphs-0.7-main.log
1491.54 s
[algebraic-graphs] 1 of 1 test suites (1 of 1 test cases) passed.
1491.54 s
[algebraic-graphs] checkPhase completed in 1 minutes 45 seconds
1491.54 s
[algebraic-graphs] Phase: haddockPhase
1491.63 s
[algebraic-graphs] Preprocessing library for algebraic-graphs-0.7..
1491.64 s
[algebraic-graphs] Running Haddock on library for algebraic-graphs-0.7..
1491.67 s
[algebraic-graphs] Warning: --source-* options are ignored when --hyperlinked-source is enabled.
1491.77 s
[algebraic-graphs] [ 1 of 29] Compiling Algebra.Graph.AdjacencyMap ( src/Algebra/Graph/AdjacencyMap.hs, nothing )
1492.02 s
[algebraic-graphs] [ 2 of 29] Compiling Algebra.Graph.AdjacencyIntMap ( src/Algebra/Graph/AdjacencyIntMap.hs, nothing )
1492.07 s
[algebraic-graphs] [ 3 of 29] Compiling Algebra.Graph.AdjacencyIntMap.Algorithm ( src/Algebra/Graph/AdjacencyIntMap/Algorithm.hs, nothing )
1492.10 s
[algebraic-graphs] [ 4 of 29] Compiling Algebra.Graph.Internal ( src/Algebra/Graph/Internal.hs, nothing )
1492.13 s
[algebraic-graphs] [ 5 of 29] Compiling Algebra.Graph ( src/Algebra/Graph.hs, nothing )
1492.31 s
[algebraic-graphs] [ 6 of 29] Compiling Algebra.Graph.HigherKinded.Class ( src/Algebra/Graph/HigherKinded/Class.hs, nothing )
1492.34 s
[algebraic-graphs] [ 7 of 29] Compiling Algebra.Graph.Bipartite.AdjacencyMap ( src/Algebra/Graph/Bipartite/AdjacencyMap.hs, nothing )
1492.47 s
[algebraic-graphs] [ 8 of 29] Compiling Algebra.Graph.Bipartite.AdjacencyMap.Algorithm ( src/Algebra/Graph/Bipartite/AdjacencyMap/Algorithm.hs, nothing )
1492.53 s
[algebraic-graphs] [ 9 of 29] Compiling Algebra.Graph.Label ( src/Algebra/Graph/Label.hs, nothing )
1492.77 s
[algebraic-graphs] [10 of 29] Compiling Algebra.Graph.NonEmpty.AdjacencyMap ( src/Algebra/Graph/NonEmpty/AdjacencyMap.hs, nothing )
1492.82 s
[algebraic-graphs] [11 of 29] Compiling Algebra.Graph.AdjacencyMap.Algorithm ( src/Algebra/Graph/AdjacencyMap/Algorithm.hs, nothing )
1492.89 s
[algebraic-graphs]
1492.89 s
[algebraic-graphs] src/Algebra/Graph/AdjacencyMap/Algorithm.hs:384:43: warning : [ GHC-63394 ] [ -Wx-partial ]
1492.89 s
[algebraic-graphs] In the use of ‘head’
1492.89 s
[algebraic-graphs] (imported from Prelude, but defined in GHC.List):
1492.89 s
[algebraic-graphs] "This is a partial function, it throws an error on empty lists. Use pattern matching or Data.List.uncons instead. Consider refactoring to use Data.List.NonEmpty."
1492.89 s
[algebraic-graphs] |
1492.89 s
[algebraic-graphs] 384 | exit v = do newComponent <- (v==).snd.head <$> gets boundaryStack
1492.89 s
[algebraic-graphs] | ^^^^
1492.89 s
[algebraic-graphs]
1492.89 s
[algebraic-graphs] src/Algebra/Graph/AdjacencyMap/Algorithm.hs:391:21: warning : [ GHC-63394 ] [ -Wx-partial ]
1492.89 s
[algebraic-graphs] In the use of ‘tail’
1492.89 s
[algebraic-graphs] (imported from Prelude, but defined in GHC.List):
1492.89 s
[algebraic-graphs] "This is a partial function, it throws an error on empty lists. Replace it with drop 1, or use pattern matching or Data.List.uncons instead. Consider refactoring to use Data.List.NonEmpty."
1492.89 s
[algebraic-graphs] |
1492.89 s
[algebraic-graphs] 391 | pth' = tail v_pth' -- Here we know that v_pth' starts with v
1492.89 s
[algebraic-graphs] | ^^^^
1492.89 s
[algebraic-graphs]
1492.90 s
[algebraic-graphs] src/Algebra/Graph/AdjacencyMap/Algorithm.hs:395:26: warning : [ GHC-63394 ] [ -Wx-partial ]
1492.90 s
[algebraic-graphs] In the use of ‘head’
1492.90 s
[algebraic-graphs] (imported from Prelude, but defined in GHC.List):
1492.90 s
[algebraic-graphs] "This is a partial function, it throws an error on empty lists. Use pattern matching or Data.List.uncons instead. Consider refactoring to use Data.List.NonEmpty."
1492.90 s
[algebraic-graphs] |
1492.90 s
[algebraic-graphs] 395 | p_v = fst $ head bnd
1492.90 s
[algebraic-graphs] | ^^^^
1492.90 s
[algebraic-graphs]
1492.90 s
[algebraic-graphs] src/Algebra/Graph/AdjacencyMap/Algorithm.hs:397:21: warning : [ GHC-63394 ] [ -Wx-partial ]
1492.90 s
[algebraic-graphs] In the use of ‘tail’
1492.90 s
[algebraic-graphs] (imported from Prelude, but defined in GHC.List):
1492.90 s
[algebraic-graphs] "This is a partial function, it throws an error on empty lists. Replace it with drop 1, or use pattern matching or Data.List.uncons instead. Consider refactoring to use Data.List.NonEmpty."
1492.90 s
[algebraic-graphs] |
1492.90 s
[algebraic-graphs] 397 | bnd' = tail bnd
1492.90 s
[algebraic-graphs] | ^^^^
1492.90 s
[algebraic-graphs] [12 of 29] Compiling Algebra.Graph.Acyclic.AdjacencyMap ( src/Algebra/Graph/Acyclic/AdjacencyMap.hs, nothing )
1492.93 s
[algebraic-graphs] [13 of 29] Compiling Algebra.Graph.ToGraph ( src/Algebra/Graph/ToGraph.hs, nothing )
1493.04 s
[algebraic-graphs]
1493.04 s
[algebraic-graphs] src/Algebra/Graph/ToGraph.hs:171:32: warning : [ GHC-58520 ] [ -Wtype-equality-requires-operators ]
1493.04 s
[algebraic-graphs] The use of ‘~’ without TypeOperators
1493.04 s
[algebraic-graphs] will become an error in a future GHC release.
1493.04 s
[algebraic-graphs] Suggested fix: Perhaps you intended to use TypeOperators
1493.04 s
[algebraic-graphs] |
1493.04 s
[algebraic-graphs] 171 | vertexIntSet :: ToVertex t ~ Int => t -> IntSet
1493.04 s
[algebraic-graphs] | ^
1493.04 s
[algebraic-graphs]
1493.04 s
[algebraic-graphs] src/Algebra/Graph/ToGraph.hs:197:29: warning : [ GHC-58520 ] [ -Wtype-equality-requires-operators ]
1493.04 s
[algebraic-graphs] The use of ‘~’ without TypeOperators
1493.04 s
[algebraic-graphs] will become an error in a future GHC release.
1493.04 s
[algebraic-graphs] Suggested fix: Perhaps you intended to use TypeOperators
1493.04 s
[algebraic-graphs] |
1493.04 s
[algebraic-graphs] 197 | preIntSet :: ToVertex t ~ Int => Int -> t -> IntSet
1493.04 s
[algebraic-graphs] | ^
1493.04 s
[algebraic-graphs]
1493.05 s
[algebraic-graphs] src/Algebra/Graph/ToGraph.hs:215:30: warning : [ GHC-58520 ] [ -Wtype-equality-requires-operators ]
1493.05 s
[algebraic-graphs] The use of ‘~’ without TypeOperators
1493.05 s
[algebraic-graphs] will become an error in a future GHC release.
1493.05 s
[algebraic-graphs] Suggested fix: Perhaps you intended to use TypeOperators
1493.05 s
[algebraic-graphs] |
1493.05 s
[algebraic-graphs] 215 | postIntSet :: ToVertex t ~ Int => Int -> t -> IntSet
1493.05 s
[algebraic-graphs] | ^
1493.05 s
[algebraic-graphs]
1493.05 s
[algebraic-graphs] src/Algebra/Graph/ToGraph.hs:303:37: warning : [ GHC-58520 ] [ -Wtype-equality-requires-operators ]
1493.05 s
[algebraic-graphs] The use of ‘~’ without TypeOperators
1493.05 s
[algebraic-graphs] will become an error in a future GHC release.
1493.05 s
[algebraic-graphs] Suggested fix: Perhaps you intended to use TypeOperators
1493.05 s
[algebraic-graphs] |
1493.05 s
[algebraic-graphs] 303 | toAdjacencyIntMap :: ToVertex t ~ Int => t -> AIM.AdjacencyIntMap
1493.05 s
[algebraic-graphs] | ^
1493.05 s
[algebraic-graphs]
1493.05 s
[algebraic-graphs] src/Algebra/Graph/ToGraph.hs:312:46: warning : [ GHC-58520 ] [ -Wtype-equality-requires-operators ]
1493.05 s
[algebraic-graphs] The use of ‘~’ without TypeOperators
1493.05 s
[algebraic-graphs] will become an error in a future GHC release.
1493.05 s
[algebraic-graphs] Suggested fix: Perhaps you intended to use TypeOperators
1493.05 s
[algebraic-graphs] |
1493.05 s
[algebraic-graphs] 312 | toAdjacencyIntMapTranspose :: ToVertex t ~ Int => t -> AIM.AdjacencyIntMap
1493.05 s
[algebraic-graphs] | ^
1493.05 s
[algebraic-graphs]
1493.05 s
[algebraic-graphs] src/Algebra/Graph/ToGraph.hs:452:43: warning : [ GHC-58520 ] [ -Wtype-equality-requires-operators ]
1493.05 s
[algebraic-graphs] The use of ‘~’ without TypeOperators
1493.05 s
[algebraic-graphs] will become an error in a future GHC release.
1493.05 s
[algebraic-graphs] Suggested fix: Perhaps you intended to use TypeOperators
1493.05 s
[algebraic-graphs] |
1493.05 s
[algebraic-graphs] 452 | adjacencyIntMap :: (ToGraph t, ToVertex t ~ Int) => t -> IntMap IntSet
1493.05 s
[algebraic-graphs] | ^
1493.05 s
[algebraic-graphs]
1493.05 s
[algebraic-graphs] src/Algebra/Graph/ToGraph.hs:471:52: warning : [ GHC-58520 ] [ -Wtype-equality-requires-operators ]
1493.05 s
[algebraic-graphs] The use of ‘~’ without TypeOperators
1493.05 s
[algebraic-graphs] will become an error in a future GHC release.
1493.05 s
[algebraic-graphs] Suggested fix: Perhaps you intended to use TypeOperators
1493.05 s
[algebraic-graphs] |
1493.05 s
[algebraic-graphs] 471 | adjacencyIntMapTranspose :: (ToGraph t, ToVertex t ~ Int) => t -> IntMap IntSet
1493.05 s
[algebraic-graphs] | ^
1493.06 s
[algebraic-graphs] [14 of 29] Compiling Algebra.Graph.Relation ( src/Algebra/Graph/Relation.hs, nothing )
1493.13 s
[algebraic-graphs] [15 of 29] Compiling Algebra.Graph.Relation.Symmetric ( src/Algebra/Graph/Relation/Symmetric.hs, nothing )
1493.17 s
[algebraic-graphs] [16 of 29] Compiling Algebra.Graph.NonEmpty ( src/Algebra/Graph/NonEmpty.hs, nothing )
1493.26 s
[algebraic-graphs] [17 of 29] Compiling Algebra.Graph.Labelled.AdjacencyMap ( src/Algebra/Graph/Labelled/AdjacencyMap.hs, nothing )
1493.38 s
[algebraic-graphs] [18 of 29] Compiling Algebra.Graph.Labelled ( src/Algebra/Graph/Labelled.hs, nothing )
1493.46 s
[algebraic-graphs] [19 of 29] Compiling Algebra.Graph.Labelled.Example.Network ( src/Algebra/Graph/Labelled/Example/Network.hs, nothing )
1493.47 s
[algebraic-graphs] [20 of 29] Compiling Algebra.Graph.Labelled.Example.Automaton ( src/Algebra/Graph/Labelled/Example/Automaton.hs, nothing )
1493.48 s
[algebraic-graphs] [21 of 29] Compiling Algebra.Graph.Export ( src/Algebra/Graph/Export.hs, nothing )
1493.53 s
[algebraic-graphs]
1493.53 s
[algebraic-graphs] src/Algebra/Graph/Export.hs:185:41: warning : [ GHC-58520 ] [ -Wtype-equality-requires-operators ]
1493.53 s
[algebraic-graphs] The use of ‘~’ without TypeOperators
1493.53 s
[algebraic-graphs] will become an error in a future GHC release.
1493.53 s
[algebraic-graphs] Suggested fix: Perhaps you intended to use TypeOperators
1493.53 s
[algebraic-graphs] |
1493.53 s
[algebraic-graphs] 185 | export :: (Ord a, ToGraph g, ToVertex g ~ a) => (a -> Doc s) -> (a -> a -> Doc s) -> g -> Doc s
1493.53 s
[algebraic-graphs] | ^
1493.53 s
[algebraic-graphs] [22 of 29] Compiling Algebra.Graph.Export.Dot ( src/Algebra/Graph/Export/Dot.hs, nothing )
1493.55 s
[algebraic-graphs]
1493.55 s
[algebraic-graphs] src/Algebra/Graph/Export/Dot.hs:121:63: warning : [ GHC-58520 ] [ -Wtype-equality-requires-operators ]
1493.55 s
[algebraic-graphs] The use of ‘~’ without TypeOperators
1493.55 s
[algebraic-graphs] will become an error in a future GHC release.
1493.55 s
[algebraic-graphs] Suggested fix: Perhaps you intended to use TypeOperators
1493.55 s
[algebraic-graphs] |
1493.55 s
[algebraic-graphs] 121 | export :: (IsString s, Monoid s, Ord a, ToGraph g, ToVertex g ~ a) => Style a s -> g -> s
1493.55 s
[algebraic-graphs] | ^
1493.55 s
[algebraic-graphs]
1493.55 s
[algebraic-graphs] src/Algebra/Graph/Export/Dot.hs:165:78: warning : [ GHC-58520 ] [ -Wtype-equality-requires-operators ]
1493.55 s
[algebraic-graphs] The use of ‘~’ without TypeOperators
1493.55 s
[algebraic-graphs] will become an error in a future GHC release.
1493.55 s
[algebraic-graphs] Suggested fix: Perhaps you intended to use TypeOperators
1493.55 s
[algebraic-graphs] |
1493.55 s
[algebraic-graphs] 165 | exportAsIs :: (IsString s, Monoid s, Ord (ToVertex g), ToGraph g, ToVertex g ~ s) => g -> s
1493.55 s
[algebraic-graphs] | ^
1493.55 s
[algebraic-graphs] [23 of 29] Compiling Algebra.Graph.Undirected ( src/Algebra/Graph/Undirected.hs, nothing )
1493.60 s
[algebraic-graphs] [24 of 29] Compiling Algebra.Graph.Class ( src/Algebra/Graph/Class.hs, nothing )
1493.64 s
[algebraic-graphs] [25 of 29] Compiling Algebra.Graph.Relation.Transitive ( src/Algebra/Graph/Relation/Transitive.hs, nothing )
1493.64 s
[algebraic-graphs] [26 of 29] Compiling Algebra.Graph.Relation.Reflexive ( src/Algebra/Graph/Relation/Reflexive.hs, nothing )
1493.65 s
[algebraic-graphs] [27 of 29] Compiling Algebra.Graph.Relation.Preorder ( src/Algebra/Graph/Relation/Preorder.hs, nothing )
1493.66 s
[algebraic-graphs] [28 of 29] Compiling Algebra.Graph.Example.Todo ( src/Algebra/Graph/Example/Todo.hs, nothing )
1493.67 s
[algebraic-graphs] [29 of 29] Compiling Data.Graph.Typed ( src/Data/Graph/Typed.hs, nothing )
1493.69 s
[algebraic-graphs] Haddock coverage:
1493.69 s
[algebraic-graphs] Warning: 'empty' is ambiguous. It is defined
1493.69 s
[algebraic-graphs] * at src/Algebra/Graph/AdjacencyMap.hs:227:1
1493.69 s
[algebraic-graphs] * in ‘Data.Map.Internal’
1493.69 s
[algebraic-graphs] * in ‘Data.Set.Internal’
1493.69 s
[algebraic-graphs] You may be able to disambiguate the identifier by qualifying it or
1493.69 s
[algebraic-graphs] by specifying the type/value namespace explicitly.
1493.69 s
[algebraic-graphs] Defaulting to the one defined at src/Algebra/Graph/AdjacencyMap.hs:227:1
1493.71 s
[algebraic-graphs] 100% ( 58 / 58) in 'Algebra.Graph.AdjacencyMap'
1493.71 s
[algebraic-graphs] Warning: 'empty' is ambiguous. It is defined
1493.71 s
[algebraic-graphs] * at src/Algebra/Graph/AdjacencyIntMap.hs:237:1
1493.71 s
[algebraic-graphs] * in ‘Data.IntMap.Internal’
1493.71 s
[algebraic-graphs] * in ‘Data.IntSet.Internal’
1493.71 s
[algebraic-graphs] You may be able to disambiguate the identifier by qualifying it or
1493.71 s
[algebraic-graphs] by specifying the type/value namespace explicitly.
1493.71 s
[algebraic-graphs] Defaulting to the one defined at src/Algebra/Graph/AdjacencyIntMap.hs:237:1
1493.72 s
[algebraic-graphs] 100% ( 56 / 56) in 'Algebra.Graph.AdjacencyIntMap'
1493.73 s
[algebraic-graphs] Warning: 'nub' is out of scope.
1493.73 s
[algebraic-graphs] If you qualify the identifier, haddock can try to link it anyway.
1493.73 s
[algebraic-graphs] Warning: 'sort' is out of scope.
1493.73 s
[algebraic-graphs] If you qualify the identifier, haddock can try to link it anyway.
1493.73 s
[algebraic-graphs] 93% ( 14 / 15) in 'Algebra.Graph.AdjacencyIntMap.Algorithm'
1493.73 s
[algebraic-graphs] Missing documentation for:
1493.73 s
[algebraic-graphs] Cycle (src/Algebra/Graph/AdjacencyIntMap/Algorithm.hs:227)
1493.74 s
[algebraic-graphs] Warning: 'List' is ambiguous. It is defined
1493.74 s
[algebraic-graphs] * at src/Algebra/Graph/Internal.hs:50:18
1493.74 s
[algebraic-graphs] * at src/Algebra/Graph/Internal.hs:50:1
1493.74 s
[algebraic-graphs] You may be able to disambiguate the identifier by qualifying it or
1493.74 s
[algebraic-graphs] by specifying the type/value namespace explicitly.
1493.74 s
[algebraic-graphs] Defaulting to the one defined at src/Algebra/Graph/Internal.hs:50:1
1493.74 s
[algebraic-graphs] Warning: 'IsList' is out of scope.
1493.74 s
[algebraic-graphs] If you qualify the identifier, haddock can try to link it anyway.
1493.74 s
[algebraic-graphs] 100% ( 19 / 19) in 'Algebra.Graph.Internal'
1493.74 s
[algebraic-graphs] Warning: 'Context' is ambiguous. It is defined
1493.74 s
[algebraic-graphs] * at src/Algebra/Graph.hs:1400:18
1493.74 s
[algebraic-graphs] * at src/Algebra/Graph.hs:1400:1
1493.74 s
[algebraic-graphs] You may be able to disambiguate the identifier by qualifying it or
1493.74 s
[algebraic-graphs] by specifying the type/value namespace explicitly.
1493.74 s
[algebraic-graphs] Defaulting to the one defined at src/Algebra/Graph.hs:1400:1
1493.75 s
[algebraic-graphs] Warning: 'empty' is ambiguous. It is defined
1493.75 s
[algebraic-graphs] * at src/Algebra/Graph.hs:316:1
1493.75 s
[algebraic-graphs] * in ‘Data.Set.Internal’
1493.75 s
[algebraic-graphs] You may be able to disambiguate the identifier by qualifying it or
1493.75 s
[algebraic-graphs] by specifying the type/value namespace explicitly.
1493.75 s
[algebraic-graphs] Defaulting to the one defined at src/Algebra/Graph.hs:316:1
1493.76 s
[algebraic-graphs] 100% ( 61 / 61) in 'Algebra.Graph'
1493.76 s
[algebraic-graphs] Warning: 'mplus' is out of scope.
1493.76 s
[algebraic-graphs] If you qualify the identifier, haddock can try to link it anyway.
1493.77 s
[algebraic-graphs] Warning: 'vertexCount' is out of scope.
1493.77 s
[algebraic-graphs] If you qualify the identifier, haddock can try to link it anyway.
1493.77 s
[algebraic-graphs] Warning: 'hasVertex' is out of scope.
1493.77 s
[algebraic-graphs] If you qualify the identifier, haddock can try to link it anyway.
1493.77 s
[algebraic-graphs] Warning: 'vertexSet' is out of scope.
1493.77 s
[algebraic-graphs] If you qualify the identifier, haddock can try to link it anyway.
1493.77 s
[algebraic-graphs] Warning: 'isEmpty' is out of scope.
1493.77 s
[algebraic-graphs] If you qualify the identifier, haddock can try to link it anyway.
1493.77 s
[algebraic-graphs] Warning: 'edgeList' is out of scope.
1493.77 s
[algebraic-graphs] If you qualify the identifier, haddock can try to link it anyway.
1493.77 s
[algebraic-graphs] Warning: 'adjacencyList' is out of scope.
1493.77 s
[algebraic-graphs] If you qualify the identifier, haddock can try to link it anyway.
1493.77 s
[algebraic-graphs] Warning: 'box' is out of scope.
1493.77 s
[algebraic-graphs] If you qualify the identifier, haddock can try to link it anyway.
1493.77 s
[algebraic-graphs] Warning: 'edgeCount' is out of scope.
1493.77 s
[algebraic-graphs] If you qualify the identifier, haddock can try to link it anyway.
1493.77 s
[algebraic-graphs] 100% ( 42 / 42) in 'Algebra.Graph.HigherKinded.Class'
1493.78 s
[algebraic-graphs] Warning: 'empty' is ambiguous. It is defined
1493.78 s
[algebraic-graphs] * at src/Algebra/Graph/Bipartite/AdjacencyMap.hs:250:1
1493.78 s
[algebraic-graphs] * in ‘Data.Map.Internal’
1493.78 s
[algebraic-graphs] * in ‘Data.Set.Internal’
1493.78 s
[algebraic-graphs] You may be able to disambiguate the identifier by qualifying it or
1493.78 s
[algebraic-graphs] by specifying the type/value namespace explicitly.
1493.78 s
[algebraic-graphs] Defaulting to the one defined at src/Algebra/Graph/Bipartite/AdjacencyMap.hs:250:1
1493.78 s
[algebraic-graphs] Warning: 'nub' is out of scope.
1493.78 s
[algebraic-graphs] If you qualify the identifier, haddock can try to link it anyway.
1493.79 s
[algebraic-graphs] Warning: 'swap' is ambiguous. It is defined
1493.79 s
[algebraic-graphs] * at src/Algebra/Graph/Bipartite/AdjacencyMap.hs:418:1
1493.79 s
[algebraic-graphs] * in ‘Data.Tuple’
1493.79 s
[algebraic-graphs] You may be able to disambiguate the identifier by qualifying it or
1493.79 s
[algebraic-graphs] by specifying the type/value namespace explicitly.
1493.79 s
[algebraic-graphs] Defaulting to the one defined at src/Algebra/Graph/Bipartite/AdjacencyMap.hs:418:1
1493.79 s
[algebraic-graphs] 100% ( 63 / 63) in 'Algebra.Graph.Bipartite.AdjacencyMap'
1493.85 s
[algebraic-graphs] Warning: 'isRight' is out of scope.
1493.85 s
[algebraic-graphs] If you qualify the identifier, haddock can try to link it anyway.
1493.85 s
[algebraic-graphs] Warning: 'Matching' is ambiguous. It is defined
1493.85 s
[algebraic-graphs] * at src/Algebra/Graph/Bipartite/AdjacencyMap/Algorithm.hs:169:21
1493.85 s
[algebraic-graphs] * at src/Algebra/Graph/Bipartite/AdjacencyMap/Algorithm.hs:169:1
1493.85 s
[algebraic-graphs] You may be able to disambiguate the identifier by qualifying it or
1493.85 s
[algebraic-graphs] by specifying the type/value namespace explicitly.
1493.85 s
[algebraic-graphs] Defaulting to the one defined at src/Algebra/Graph/Bipartite/AdjacencyMap/Algorithm.hs:169:1
1493.86 s
[algebraic-graphs] Warning: 'empty' is ambiguous. It is defined
1493.86 s
[algebraic-graphs] * at src/Algebra/Graph/Bipartite/AdjacencyMap.hs:250:1
1493.86 s
[algebraic-graphs] * in ‘Data.Set.Internal’
1493.86 s
[algebraic-graphs] You may be able to disambiguate the identifier by qualifying it or
1493.86 s
[algebraic-graphs] by specifying the type/value namespace explicitly.
1493.86 s
[algebraic-graphs] Defaulting to the one defined at src/Algebra/Graph/Bipartite/AdjacencyMap.hs:250:1
1493.86 s
[algebraic-graphs] 100% ( 25 / 25) in 'Algebra.Graph.Bipartite.AdjacencyMap.Algorithm'
1493.86 s
[algebraic-graphs] Warning: 'Optimum' is ambiguous. It is defined
1493.86 s
[algebraic-graphs] * at src/Algebra/Graph/Label.hs:442:20
1493.86 s
[algebraic-graphs] * at src/Algebra/Graph/Label.hs:442:1
1493.86 s
[algebraic-graphs] You may be able to disambiguate the identifier by qualifying it or
1493.86 s
[algebraic-graphs] by specifying the type/value namespace explicitly.
1493.86 s
[algebraic-graphs] Defaulting to the one defined at src/Algebra/Graph/Label.hs:442:1
1493.86 s
[algebraic-graphs] Warning: 'Distance' is ambiguous. It is defined
1493.86 s
[algebraic-graphs] * at src/Algebra/Graph/Label.hs:241:22
1493.86 s
[algebraic-graphs] * at src/Algebra/Graph/Label.hs:241:1
1493.86 s
[algebraic-graphs] You may be able to disambiguate the identifier by qualifying it or
1493.86 s
[algebraic-graphs] by specifying the type/value namespace explicitly.
1493.86 s
[algebraic-graphs] Defaulting to the one defined at src/Algebra/Graph/Label.hs:241:1
1493.86 s
[algebraic-graphs] Warning: 'Minimum' is ambiguous. It is defined
1493.86 s
[algebraic-graphs] * at src/Algebra/Graph/Label.hs:314:21
1493.86 s
[algebraic-graphs] * at src/Algebra/Graph/Label.hs:314:1
1493.86 s
[algebraic-graphs] You may be able to disambiguate the identifier by qualifying it or
1493.86 s
[algebraic-graphs] by specifying the type/value namespace explicitly.
1493.86 s
[algebraic-graphs] Defaulting to the one defined at src/Algebra/Graph/Label.hs:314:1
1493.86 s
[algebraic-graphs] Warning: 'Capacity' is ambiguous. It is defined
1493.86 s
[algebraic-graphs] * at src/Algebra/Graph/Label.hs:176:22
1493.86 s
[algebraic-graphs] * at src/Algebra/Graph/Label.hs:176:1
1493.86 s
[algebraic-graphs] You may be able to disambiguate the identifier by qualifying it or
1493.86 s
[algebraic-graphs] by specifying the type/value namespace explicitly.
1493.86 s
[algebraic-graphs] Defaulting to the one defined at src/Algebra/Graph/Label.hs:176:1
1493.86 s
[algebraic-graphs] Warning: 'Count' is ambiguous. It is defined
1493.86 s
[algebraic-graphs] * at src/Algebra/Graph/Label.hs:209:19
1493.86 s
[algebraic-graphs] * at src/Algebra/Graph/Label.hs:209:1
1493.86 s
[algebraic-graphs] You may be able to disambiguate the identifier by qualifying it or
1493.86 s
[algebraic-graphs] by specifying the type/value namespace explicitly.
1493.86 s
[algebraic-graphs] Defaulting to the one defined at src/Algebra/Graph/Label.hs:209:1
1493.86 s
[algebraic-graphs] 100% ( 37 / 37) in 'Algebra.Graph.Label'
1493.87 s
[algebraic-graphs] Warning: 'AdjacencyMap' is ambiguous. It is defined
1493.87 s
[algebraic-graphs] * at src/Algebra/Graph/AdjacencyMap.hs:157:1
1493.87 s
[algebraic-graphs] * at src/Algebra/Graph/NonEmpty/AdjacencyMap.hs:152:1
1493.87 s
[algebraic-graphs] You may be able to disambiguate the identifier by qualifying it or
1493.87 s
[algebraic-graphs] by specifying the type/value namespace explicitly.
1493.87 s
[algebraic-graphs] Defaulting to the one defined at src/Algebra/Graph/NonEmpty/AdjacencyMap.hs:152:1
1493.87 s
[algebraic-graphs] Warning: 'isEmpty' is out of scope.
1493.87 s
[algebraic-graphs] If you qualify the identifier, haddock can try to link it anyway.
1493.87 s
[algebraic-graphs] Warning: 'empty' is out of scope.
1493.87 s
[algebraic-graphs] If you qualify the identifier, haddock can try to link it anyway.
1493.87 s
[algebraic-graphs] Warning: 'vertexList' is out of scope.
1493.87 s
[algebraic-graphs] If you qualify the identifier, haddock can try to link it anyway.
1493.87 s
[algebraic-graphs] Warning: 'edges' is out of scope.
1493.87 s
[algebraic-graphs] If you qualify the identifier, haddock can try to link it anyway.
1493.87 s
[algebraic-graphs] Warning: 'adjacencyList' is out of scope.
1493.87 s
[algebraic-graphs] If you qualify the identifier, haddock can try to link it anyway.
1493.88 s
[algebraic-graphs] Warning: 'stars' is out of scope.
1493.88 s
[algebraic-graphs] If you qualify the identifier, haddock can try to link it anyway.
1493.88 s
[algebraic-graphs] 100% ( 51 / 51) in 'Algebra.Graph.NonEmpty.AdjacencyMap'
1493.88 s
[algebraic-graphs] Warning: 'nub' is out of scope.
1493.88 s
[algebraic-graphs] If you qualify the identifier, haddock can try to link it anyway.
1493.88 s
[algebraic-graphs] Warning: 'sort' is out of scope.
1493.88 s
[algebraic-graphs] If you qualify the identifier, haddock can try to link it anyway.
1493.89 s
[algebraic-graphs] Warning: 'vertex' is ambiguous. It is defined
1493.89 s
[algebraic-graphs] * at src/Algebra/Graph/AdjacencyMap.hs:239:1
1493.89 s
[algebraic-graphs] * at src/Algebra/Graph/NonEmpty/AdjacencyMap.hs:224:1
1493.89 s
[algebraic-graphs] You may be able to disambiguate the identifier by qualifying it or
1493.89 s
[algebraic-graphs] by specifying the type/value namespace explicitly.
1493.89 s
[algebraic-graphs] Defaulting to the one defined at src/Algebra/Graph/NonEmpty/AdjacencyMap.hs:224:1
1493.89 s
[algebraic-graphs] Warning: 'edge' is ambiguous. It is defined
1493.89 s
[algebraic-graphs] * at src/Algebra/Graph/AdjacencyMap.hs:252:1
1493.89 s
[algebraic-graphs] * at src/Algebra/Graph/NonEmpty/AdjacencyMap.hs:237:1
1493.89 s
[algebraic-graphs] You may be able to disambiguate the identifier by qualifying it or
1493.89 s
[algebraic-graphs] by specifying the type/value namespace explicitly.
1493.89 s
[algebraic-graphs] Defaulting to the one defined at src/Algebra/Graph/NonEmpty/AdjacencyMap.hs:237:1
1493.89 s
[algebraic-graphs] 93% ( 15 / 16) in 'Algebra.Graph.AdjacencyMap.Algorithm'
1493.89 s
[algebraic-graphs] Missing documentation for:
1493.89 s
[algebraic-graphs] Cycle (src/Algebra/Graph/AdjacencyMap/Algorithm.hs:228)
1493.89 s
[algebraic-graphs] Warning: 'empty' is ambiguous. It is defined
1493.89 s
[algebraic-graphs] * at src/Algebra/Graph/Acyclic/AdjacencyMap.hs:132:1
1493.89 s
[algebraic-graphs] * at src/Algebra/Graph/AdjacencyMap.hs:227:1
1493.89 s
[algebraic-graphs] You may be able to disambiguate the identifier by qualifying it or
1493.89 s
[algebraic-graphs] by specifying the type/value namespace explicitly.
1493.89 s
[algebraic-graphs] Defaulting to the one defined at src/Algebra/Graph/AdjacencyMap.hs:227:1
1493.89 s
[algebraic-graphs] Warning: 'vertex' is ambiguous. It is defined
1493.89 s
[algebraic-graphs] * at src/Algebra/Graph/Acyclic/AdjacencyMap.hs:143:1
1493.89 s
[algebraic-graphs] * at src/Algebra/Graph/AdjacencyMap.hs:239:1
1493.89 s
[algebraic-graphs] You may be able to disambiguate the identifier by qualifying it or
1493.89 s
[algebraic-graphs] by specifying the type/value namespace explicitly.
1493.89 s
[algebraic-graphs] Defaulting to the one defined at src/Algebra/Graph/AdjacencyMap.hs:239:1
1493.89 s
[algebraic-graphs] Warning: 'vertexCount' is ambiguous. It is defined
1493.89 s
[algebraic-graphs] * at src/Algebra/Graph/Acyclic/AdjacencyMap.hs:246:1
1493.89 s
[algebraic-graphs] * at src/Algebra/Graph/AdjacencyMap.hs:417:1
1493.89 s
[algebraic-graphs] You may be able to disambiguate the identifier by qualifying it or
1493.89 s
[algebraic-graphs] by specifying the type/value namespace explicitly.
1493.89 s
[algebraic-graphs] Defaulting to the one defined at src/Algebra/Graph/AdjacencyMap.hs:417:1
1493.89 s
[algebraic-graphs] Warning: 'edgeCount' is ambiguous. It is defined
1493.89 s
[algebraic-graphs] * at src/Algebra/Graph/Acyclic/AdjacencyMap.hs:258:1
1493.89 s
[algebraic-graphs] * at src/Algebra/Graph/AdjacencyMap.hs:429:1
1493.89 s
[algebraic-graphs] You may be able to disambiguate the identifier by qualifying it or
1493.89 s
[algebraic-graphs] by specifying the type/value namespace explicitly.
1493.89 s
[algebraic-graphs] Defaulting to the one defined at src/Algebra/Graph/AdjacencyMap.hs:429:1
1493.90 s
[algebraic-graphs] Warning: 'vertices' is ambiguous. It is defined
1493.90 s
[algebraic-graphs] * at src/Algebra/Graph/Acyclic/AdjacencyMap.hs:157:1
1493.90 s
[algebraic-graphs] * at src/Algebra/Graph/AdjacencyMap.hs:309:1
1493.90 s
[algebraic-graphs] You may be able to disambiguate the identifier by qualifying it or
1493.90 s
[algebraic-graphs] by specifying the type/value namespace explicitly.
1493.90 s
[algebraic-graphs] Defaulting to the one defined at src/Algebra/Graph/AdjacencyMap.hs:309:1
1493.90 s
[algebraic-graphs] 100% ( 44 / 44) in 'Algebra.Graph.Acyclic.AdjacencyMap'
1493.90 s
[algebraic-graphs] Warning: 'foldg' is ambiguous. It is defined
1493.90 s
[algebraic-graphs] * at src/Algebra/Graph.hs:482:1
1493.90 s
[algebraic-graphs] * at src/Algebra/Graph/ToGraph.hs:98:5
1493.90 s
[algebraic-graphs] You may be able to disambiguate the identifier by qualifying it or
1493.90 s
[algebraic-graphs] by specifying the type/value namespace explicitly.
1493.90 s
[algebraic-graphs] Defaulting to the one defined at src/Algebra/Graph/ToGraph.hs:98:5
1493.91 s
[algebraic-graphs] 100% ( 8 / 8) in 'Algebra.Graph.ToGraph'
1493.91 s
[algebraic-graphs] Warning: 'Relation' is ambiguous. It is defined
1493.91 s
[algebraic-graphs] * at src/Algebra/Graph/Relation.hs:157:19
1493.91 s
[algebraic-graphs] * at src/Algebra/Graph/Relation.hs:157:1
1493.91 s
[algebraic-graphs] You may be able to disambiguate the identifier by qualifying it or
1493.91 s
[algebraic-graphs] by specifying the type/value namespace explicitly.
1493.91 s
[algebraic-graphs] Defaulting to the one defined at src/Algebra/Graph/Relation.hs:157:1
1493.91 s
[algebraic-graphs] Warning: 'empty' is ambiguous. It is defined
1493.91 s
[algebraic-graphs] * at src/Algebra/Graph/Relation.hs:243:1
1493.91 s
[algebraic-graphs] * in ‘Data.Set.Internal’
1493.91 s
[algebraic-graphs] You may be able to disambiguate the identifier by qualifying it or
1493.91 s
[algebraic-graphs] by specifying the type/value namespace explicitly.
1493.91 s
[algebraic-graphs] Defaulting to the one defined at src/Algebra/Graph/Relation.hs:243:1
1493.92 s
[algebraic-graphs] Warning: 'AdjacencyMap' is out of scope.
1493.92 s
[algebraic-graphs] If you qualify the identifier, haddock can try to link it anyway.
1493.92 s
[algebraic-graphs] 100% ( 56 / 56) in 'Algebra.Graph.Relation'
1493.93 s
[algebraic-graphs] Warning: 'vertexCount' is ambiguous. It is defined
1493.93 s
[algebraic-graphs] * at src/Algebra/Graph/Relation.hs:423:1
1493.93 s
[algebraic-graphs] * at src/Algebra/Graph/Relation/Symmetric.hs:372:1
1493.93 s
[algebraic-graphs] You may be able to disambiguate the identifier by qualifying it or
1493.93 s
[algebraic-graphs] by specifying the type/value namespace explicitly.
1493.93 s
[algebraic-graphs] Defaulting to the one defined at src/Algebra/Graph/Relation/Symmetric.hs:372:1
1493.93 s
[algebraic-graphs] Warning: 'edgeCount' is ambiguous. It is defined
1493.93 s
[algebraic-graphs] * at src/Algebra/Graph/Relation.hs:435:1
1493.93 s
[algebraic-graphs] * at src/Algebra/Graph/Relation/Symmetric.hs:384:1
1493.93 s
[algebraic-graphs] You may be able to disambiguate the identifier by qualifying it or
1493.93 s
[algebraic-graphs] by specifying the type/value namespace explicitly.
1493.93 s
[algebraic-graphs] Defaulting to the one defined at src/Algebra/Graph/Relation/Symmetric.hs:384:1
1493.93 s
[algebraic-graphs] Warning: 'empty' is ambiguous. It is defined
1493.93 s
[algebraic-graphs] * at src/Algebra/Graph/Relation/Symmetric.hs:188:1
1493.93 s
[algebraic-graphs] * in ‘Data.Set.Internal’
1493.93 s
[algebraic-graphs] You may be able to disambiguate the identifier by qualifying it or
1493.93 s
[algebraic-graphs] by specifying the type/value namespace explicitly.
1493.93 s
[algebraic-graphs] Defaulting to the one defined at src/Algebra/Graph/Relation/Symmetric.hs:188:1
1493.94 s
[algebraic-graphs] 100% ( 48 / 48) in 'Algebra.Graph.Relation.Symmetric'
1493.95 s
[algebraic-graphs] Warning: 'vertexList' is out of scope.
1493.95 s
[algebraic-graphs] If you qualify the identifier, haddock can try to link it anyway.
1493.96 s
[algebraic-graphs] 100% ( 53 / 53) in 'Algebra.Graph.NonEmpty'
1493.96 s
[algebraic-graphs] Warning: 'empty' is ambiguous. It is defined
1493.96 s
[algebraic-graphs] * at src/Algebra/Graph/Labelled/AdjacencyMap.hs:160:1
1493.96 s
[algebraic-graphs] * in ‘Data.Map.Internal’
1493.96 s
[algebraic-graphs] You may be able to disambiguate the identifier by qualifying it or
1493.96 s
[algebraic-graphs] by specifying the type/value namespace explicitly.
1493.96 s
[algebraic-graphs] Defaulting to the one defined at src/Algebra/Graph/Labelled/AdjacencyMap.hs:160:1
1493.96 s
[algebraic-graphs] Warning: 'hasEdge' is ambiguous. It is defined
1493.96 s
[algebraic-graphs] * at src/Algebra/Graph/AdjacencyMap.hs:403:1
1493.96 s
[algebraic-graphs] * at src/Algebra/Graph/Labelled/AdjacencyMap.hs:379:1
1493.96 s
[algebraic-graphs] You may be able to disambiguate the identifier by qualifying it or
1493.96 s
[algebraic-graphs] by specifying the type/value namespace explicitly.
1493.96 s
[algebraic-graphs] Defaulting to the one defined at src/Algebra/Graph/Labelled/AdjacencyMap.hs:379:1
1493.97 s
[algebraic-graphs] 100% ( 49 / 49) in 'Algebra.Graph.Labelled.AdjacencyMap'
1493.97 s
[algebraic-graphs] Warning: 'Context' is ambiguous. It is defined
1493.97 s
[algebraic-graphs] * at src/Algebra/Graph/Labelled.hs:675:20
1493.97 s
[algebraic-graphs] * at src/Algebra/Graph/Labelled.hs:675:1
1493.97 s
[algebraic-graphs] You may be able to disambiguate the identifier by qualifying it or
1493.97 s
[algebraic-graphs] by specifying the type/value namespace explicitly.
1493.97 s
[algebraic-graphs] Defaulting to the one defined at src/Algebra/Graph/Labelled.hs:675:1
1493.97 s
[algebraic-graphs] Warning: 'empty' is ambiguous. It is defined
1493.97 s
[algebraic-graphs] * at src/Algebra/Graph/Labelled.hs:191:1
1493.97 s
[algebraic-graphs] * in ‘Data.Set.Internal’
1493.97 s
[algebraic-graphs] You may be able to disambiguate the identifier by qualifying it or
1493.97 s
[algebraic-graphs] by specifying the type/value namespace explicitly.
1493.97 s
[algebraic-graphs] Defaulting to the one defined at src/Algebra/Graph/Labelled.hs:191:1
1493.98 s
[algebraic-graphs] Warning: 'Focus' is ambiguous. It is defined
1493.98 s
[algebraic-graphs] * at src/Algebra/Graph/Labelled.hs:642:18
1493.98 s
[algebraic-graphs] * at src/Algebra/Graph/Labelled.hs:642:1
1493.98 s
[algebraic-graphs] You may be able to disambiguate the identifier by qualifying it or
1493.98 s
[algebraic-graphs] by specifying the type/value namespace explicitly.
1493.98 s
[algebraic-graphs] Defaulting to the one defined at src/Algebra/Graph/Labelled.hs:642:1
1493.98 s
[algebraic-graphs] 100% ( 49 / 49) in 'Algebra.Graph.Labelled'
1493.98 s
[algebraic-graphs] 100% ( 6 / 6) in 'Algebra.Graph.Labelled.Example.Network'
1493.99 s
[algebraic-graphs] 100% ( 5 / 5) in 'Algebra.Graph.Labelled.Example.Automaton'
1493.99 s
[algebraic-graphs] Warning: 'Doc' is ambiguous. It is defined
1493.99 s
[algebraic-graphs] * at src/Algebra/Graph/Export.hs:57:17
1493.99 s
[algebraic-graphs] * at src/Algebra/Graph/Export.hs:57:1
1493.99 s
[algebraic-graphs] You may be able to disambiguate the identifier by qualifying it or
1493.99 s
[algebraic-graphs] by specifying the type/value namespace explicitly.
1493.99 s
[algebraic-graphs] Defaulting to the one defined at src/Algebra/Graph/Export.hs:57:1
1493.99 s
[algebraic-graphs] 100% ( 14 / 14) in 'Algebra.Graph.Export'
1493.99 s
[algebraic-graphs] Warning: 'Style' is ambiguous. It is defined
1493.99 s
[algebraic-graphs] * at src/Algebra/Graph/Export/Dot.hs:49:18
1493.99 s
[algebraic-graphs] * at src/Algebra/Graph/Export/Dot.hs:49:1
1493.99 s
[algebraic-graphs] You may be able to disambiguate the identifier by qualifying it or
1493.99 s
[algebraic-graphs] by specifying the type/value namespace explicitly.
1493.99 s
[algebraic-graphs] Defaulting to the one defined at src/Algebra/Graph/Export/Dot.hs:49:1
1493.99 s
[algebraic-graphs] Warning: 'Graph' is out of scope.
1493.99 s
[algebraic-graphs] If you qualify the identifier, haddock can try to link it anyway.
1493.99 s
[algebraic-graphs] 100% ( 11 / 11) in 'Algebra.Graph.Export.Dot'
1494.00 s
[algebraic-graphs] Warning: 'empty' is ambiguous. It is defined
1494.00 s
[algebraic-graphs] * at src/Algebra/Graph/Undirected.hs:253:1
1494.00 s
[algebraic-graphs] * in ‘Data.Set.Internal’
1494.00 s
[algebraic-graphs] You may be able to disambiguate the identifier by qualifying it or
1494.00 s
[algebraic-graphs] by specifying the type/value namespace explicitly.
1494.00 s
[algebraic-graphs] Defaulting to the one defined at src/Algebra/Graph/Undirected.hs:253:1
1494.01 s
[algebraic-graphs] 100% ( 50 / 50) in 'Algebra.Graph.Undirected'
1494.02 s
[algebraic-graphs] 100% ( 27 / 27) in 'Algebra.Graph.Class'
1494.02 s
[algebraic-graphs] Warning: 'TransitiveRelation' is ambiguous. It is defined
1494.02 s
[algebraic-graphs] * at src/Algebra/Graph/Relation/Transitive.hs:39:32
1494.02 s
[algebraic-graphs] * at src/Algebra/Graph/Relation/Transitive.hs:39:1
1494.02 s
[algebraic-graphs] You may be able to disambiguate the identifier by qualifying it or
1494.02 s
[algebraic-graphs] by specifying the type/value namespace explicitly.
1494.02 s
[algebraic-graphs] Defaulting to the one defined at src/Algebra/Graph/Relation/Transitive.hs:39:1
1494.02 s
[algebraic-graphs] Warning: 'Transitive' is out of scope.
1494.02 s
[algebraic-graphs] If you qualify the identifier, haddock can try to link it anyway.
1494.02 s
[algebraic-graphs] 100% ( 5 / 5) in 'Algebra.Graph.Relation.Transitive'
1494.02 s
[algebraic-graphs] Warning: 'ReflexiveRelation' is ambiguous. It is defined
1494.02 s
[algebraic-graphs] * at src/Algebra/Graph/Relation/Reflexive.hs:34:31
1494.02 s
[algebraic-graphs] * at src/Algebra/Graph/Relation/Reflexive.hs:34:1
1494.02 s
[algebraic-graphs] You may be able to disambiguate the identifier by qualifying it or
1494.02 s
[algebraic-graphs] by specifying the type/value namespace explicitly.
1494.02 s
[algebraic-graphs] Defaulting to the one defined at src/Algebra/Graph/Relation/Reflexive.hs:34:1
1494.02 s
[algebraic-graphs] Warning: 'Reflexive' is out of scope.
1494.02 s
[algebraic-graphs] If you qualify the identifier, haddock can try to link it anyway.
1494.02 s
[algebraic-graphs] 100% ( 5 / 5) in 'Algebra.Graph.Relation.Reflexive'
1494.02 s
[algebraic-graphs] Warning: 'PreorderRelation' is ambiguous. It is defined
1494.02 s
[algebraic-graphs] * at src/Algebra/Graph/Relation/Preorder.hs:44:30
1494.02 s
[algebraic-graphs] * at src/Algebra/Graph/Relation/Preorder.hs:44:1
1494.02 s
[algebraic-graphs] You may be able to disambiguate the identifier by qualifying it or
1494.02 s
[algebraic-graphs] by specifying the type/value namespace explicitly.
1494.02 s
[algebraic-graphs] Defaulting to the one defined at src/Algebra/Graph/Relation/Preorder.hs:44:1
1494.02 s
[algebraic-graphs] Warning: 'Preorder' is out of scope.
1494.02 s
[algebraic-graphs] If you qualify the identifier, haddock can try to link it anyway.
1494.02 s
[algebraic-graphs] 100% ( 5 / 5) in 'Algebra.Graph.Relation.Preorder'
1494.02 s
[algebraic-graphs] 0% ( 0 / 8) in 'Algebra.Graph.Example.Todo'
1494.02 s
[algebraic-graphs] Missing documentation for:
1494.02 s
[algebraic-graphs] Module header
1494.02 s
[algebraic-graphs] Todo (src/Algebra/Graph/Example/Todo.hs:13)
1494.02 s
[algebraic-graphs] todo (src/Algebra/Graph/Example/Todo.hs:42)
1494.02 s
[algebraic-graphs] low (src/Algebra/Graph/Example/Todo.hs:23)
1494.02 s
[algebraic-graphs] high (src/Algebra/Graph/Example/Todo.hs:27)
1494.02 s
[algebraic-graphs] ~*~ (src/Algebra/Graph/Example/Todo.hs:35)
1494.02 s
[algebraic-graphs] >*< (src/Algebra/Graph/Example/Todo.hs:39)
1494.02 s
[algebraic-graphs] priority (src/Algebra/Graph/Example/Todo.hs:31)
1494.02 s
[algebraic-graphs] Warning: 'GraphKL' is ambiguous. It is defined
1494.02 s
[algebraic-graphs] * at src/Data/Graph/Typed.hs:40:18
1494.02 s
[algebraic-graphs] * at src/Data/Graph/Typed.hs:40:1
1494.02 s
[algebraic-graphs] You may be able to disambiguate the identifier by qualifying it or
1494.02 s
[algebraic-graphs] by specifying the type/value namespace explicitly.
1494.02 s
[algebraic-graphs] Defaulting to the one defined at src/Data/Graph/Typed.hs:40:1
1494.02 s
[algebraic-graphs] Warning: 'array' is out of scope.
1494.02 s
[algebraic-graphs] If you qualify the identifier, haddock can try to link it anyway.
1494.02 s
[algebraic-graphs] 90% ( 10 / 11) in 'Data.Graph.Typed'
1494.02 s
[algebraic-graphs] Missing documentation for:
1494.02 s
[algebraic-graphs] scc (src/Data/Graph/Typed.hs:192)
1494.31 s
[algebraic-graphs] Warning: Algebra.Graph.AdjacencyMap: could not find link destinations for:
1494.31 s
[algebraic-graphs] - Algebra.Graph.AdjacencyMap.Rep_AdjacencyMap
1494.31 s
[algebraic-graphs] - Algebra.Graph.ToGraph.D:R:ToVertexAdjacencyMap0
1494.31 s
[algebraic-graphs] - Algebra.Graph.Class.D:R:VertexAdjacencyMap0
1494.31 s
[algebraic-graphs] Warning: Algebra.Graph.AdjacencyIntMap: could not find link destinations for:
1494.31 s
[algebraic-graphs] - Algebra.Graph.AdjacencyIntMap.Rep_AdjacencyIntMap
1494.31 s
[algebraic-graphs] - Algebra.Graph.ToGraph.D:R:ToVertexAdjacencyIntMap
1494.31 s
[algebraic-graphs] - Algebra.Graph.Class.D:R:VertexAdjacencyIntMap
1494.31 s
[algebraic-graphs] Warning: Algebra.Graph.Internal: could not find link destinations for:
1494.31 s
[algebraic-graphs] - Algebra.Graph.Internal.D:R:ItemList
1494.32 s
[algebraic-graphs] Warning: Algebra.Graph: could not find link destinations for:
1494.32 s
[algebraic-graphs] - Algebra.Graph.Rep_Graph
1494.32 s
[algebraic-graphs] - Algebra.Graph.ToGraph.D:R:ToVertexGraph
1494.32 s
[algebraic-graphs] - Algebra.Graph.Class.D:R:VertexGraph1
1494.33 s
[algebraic-graphs] Warning: Algebra.Graph.Bipartite.AdjacencyMap: could not find link destinations for:
1494.33 s
[algebraic-graphs] - Algebra.Graph.Bipartite.AdjacencyMap.D:R:ItemList
1494.33 s
[algebraic-graphs] - Algebra.Graph.Bipartite.AdjacencyMap.Rep_List
1494.33 s
[algebraic-graphs] - Algebra.Graph.Bipartite.AdjacencyMap.Rep_AdjacencyMap
1494.33 s
[algebraic-graphs] Warning: Algebra.Graph.Bipartite.AdjacencyMap.Algorithm: could not find link destinations for:
1494.33 s
[algebraic-graphs] - Algebra.Graph.Bipartite.AdjacencyMap.Algorithm.Rep_Matching
1494.33 s
[algebraic-graphs] Warning: Algebra.Graph.Label: could not find link destinations for:
1494.33 s
[algebraic-graphs] - Algebra.Graph.Label.D:R:ItemMinimum
1494.33 s
[algebraic-graphs] - Algebra.Graph.Label.D:R:ItemLabel
1494.34 s
[algebraic-graphs] Warning: Algebra.Graph.NonEmpty.AdjacencyMap: could not find link destinations for:
1494.34 s
[algebraic-graphs] - Algebra.Graph.NonEmpty.AdjacencyMap.Rep_AdjacencyMap
1494.34 s
[algebraic-graphs] - Algebra.Graph.ToGraph.D:R:ToVertexAdjacencyMap
1494.34 s
[algebraic-graphs] Warning: Algebra.Graph.ToGraph: could not find link destinations for:
1494.35 s
[algebraic-graphs] - Algebra.Graph.ToGraph.D:R:ToVertexAdjacencyMap
1494.35 s
[algebraic-graphs] - Algebra.Graph.ToGraph.D:R:ToVertexAdjacencyIntMap
1494.35 s
[algebraic-graphs] - Algebra.Graph.ToGraph.D:R:ToVertexAdjacencyMap0
1494.35 s
[algebraic-graphs] - Algebra.Graph.ToGraph.D:R:ToVertexGraph
1494.35 s
[algebraic-graphs] - Algebra.Graph.Relation.D:R:ToVertexRelation
1494.35 s
[algebraic-graphs] - Algebra.Graph.Relation.Symmetric.D:R:ToVertexRelation
1494.35 s
[algebraic-graphs] - Algebra.Graph.NonEmpty.D:R:ToVertexGraph
1494.35 s
[algebraic-graphs] - Algebra.Graph.Labelled.AdjacencyMap.D:R:ToVertexAdjacencyMap
1494.35 s
[algebraic-graphs] - Algebra.Graph.Labelled.D:R:ToVertexGraph
1494.35 s
[algebraic-graphs] Warning: Algebra.Graph.Relation: could not find link destinations for:
1494.35 s
[algebraic-graphs] - Algebra.Graph.Relation.D:R:ToVertexRelation
1494.35 s
[algebraic-graphs] - Algebra.Graph.Class.D:R:VertexRelation0
1494.35 s
[algebraic-graphs] Warning: Algebra.Graph.Relation.Symmetric: could not find link destinations for:
1494.35 s
[algebraic-graphs] - Algebra.Graph.Relation.Symmetric.D:R:ToVertexRelation
1494.35 s
[algebraic-graphs] - Algebra.Graph.Class.D:R:VertexRelation
1494.36 s
[algebraic-graphs] Warning: Algebra.Graph.NonEmpty: could not find link destinations for:
1494.36 s
[algebraic-graphs] - Algebra.Graph.NonEmpty.D:R:ToVertexGraph
1494.36 s
[algebraic-graphs] Warning: Algebra.Graph.Labelled.AdjacencyMap: could not find link destinations for:
1494.36 s
[algebraic-graphs] - Algebra.Graph.Labelled.AdjacencyMap.D:R:ToVertexAdjacencyMap
1494.36 s
[algebraic-graphs] - Algebra.Graph.Labelled.AdjacencyMap.Rep_AdjacencyMap
1494.36 s
[algebraic-graphs] - Algebra.Graph.Class.D:R:VertexAdjacencyMap
1494.37 s
[algebraic-graphs] Warning: Algebra.Graph.Labelled: could not find link destinations for:
1494.37 s
[algebraic-graphs] - Algebra.Graph.Labelled.D:R:ToVertexGraph
1494.37 s
[algebraic-graphs] - Algebra.Graph.Labelled.Rep_Graph
1494.37 s
[algebraic-graphs] - Algebra.Graph.Class.D:R:VertexGraph
1494.37 s
[algebraic-graphs] Warning: Algebra.Graph.Undirected: could not find link destinations for:
1494.37 s
[algebraic-graphs] - Algebra.Graph.Undirected.Rep_Graph
1494.37 s
[algebraic-graphs] - Algebra.Graph.Class.D:R:VertexGraph0
1494.38 s
[algebraic-graphs] Warning: Algebra.Graph.Class: could not find link destinations for:
1494.38 s
[algebraic-graphs] - Algebra.Graph.Class.D:R:VertexTuple3
1494.38 s
[algebraic-graphs] - Algebra.Graph.Class.D:R:VertexTuple2
1494.38 s
[algebraic-graphs] - Algebra.Graph.Class.D:R:VertexFUN
1494.38 s
[algebraic-graphs] - Algebra.Graph.Class.D:R:VertexMaybe
1494.38 s
[algebraic-graphs] - Algebra.Graph.Class.D:R:VertexUnit
1494.38 s
[algebraic-graphs] - Algebra.Graph.Class.D:R:VertexRelation
1494.38 s
[algebraic-graphs] - Algebra.Graph.Class.D:R:VertexRelation0
1494.38 s
[algebraic-graphs] - Algebra.Graph.Class.D:R:VertexAdjacencyMap
1494.38 s
[algebraic-graphs] - Algebra.Graph.Class.D:R:VertexGraph
1494.38 s
[algebraic-graphs] - Algebra.Graph.Class.D:R:VertexAdjacencyIntMap
1494.38 s
[algebraic-graphs] - Algebra.Graph.Class.D:R:VertexAdjacencyMap0
1494.38 s
[algebraic-graphs] - Algebra.Graph.Class.D:R:VertexGraph0
1494.38 s
[algebraic-graphs] - Algebra.Graph.Class.D:R:VertexGraph1
1494.38 s
[algebraic-graphs] - Algebra.Graph.Relation.Transitive.D:R:VertexTransitiveRelation
1494.38 s
[algebraic-graphs] - Algebra.Graph.Relation.Reflexive.D:R:VertexReflexiveRelation
1494.38 s
[algebraic-graphs] - Algebra.Graph.Relation.Preorder.D:R:VertexPreorderRelation
1494.38 s
[algebraic-graphs] - Algebra.Graph.Example.Todo.D:R:VertexTodo
1494.38 s
[algebraic-graphs] Warning: Algebra.Graph.Relation.Transitive: could not find link destinations for:
1494.38 s
[algebraic-graphs] - Algebra.Graph.Relation.Transitive.D:R:VertexTransitiveRelation
1494.38 s
[algebraic-graphs] Warning: Algebra.Graph.Relation.Reflexive: could not find link destinations for:
1494.38 s
[algebraic-graphs] - Algebra.Graph.Relation.Reflexive.D:R:VertexReflexiveRelation
1494.38 s
[algebraic-graphs] Warning: Algebra.Graph.Relation.Preorder: could not find link destinations for:
1494.38 s
[algebraic-graphs] - Algebra.Graph.Relation.Preorder.D:R:VertexPreorderRelation
1494.38 s
[algebraic-graphs] Warning: Algebra.Graph.Example.Todo: could not find link destinations for:
1494.38 s
[algebraic-graphs] - Algebra.Graph.Example.Todo.D:R:VertexTodo
1497.73 s
[algebraic-graphs] Documentation created: dist/doc/html/algebraic-graphs/,
1497.81 s
[algebraic-graphs] dist/doc/html/algebraic-graphs/algebraic-graphs.txt
1497.81 s
[algebraic-graphs] Preprocessing test suite 'main' for algebraic-graphs-0.7..
1497.81 s
[algebraic-graphs] Phase: installPhase
1497.85 s
[algebraic-graphs] Installing library in /nix/store/l4phbxhkhm90wv21kqhv1za6i7qcb0xr-algebraic-graphs-0.7/lib/ghc-9.8.4/lib/x86_64-linux-ghc-9.8.4/algebraic-graphs-0.7-FivNbIKLMvMFivhqM96Qyy
1498.49 s
[algebraic-graphs] Phase: fixupPhase
1498.51 s
[algebraic-graphs] shrinking RPATHs of ELF executables and libraries in /nix/store/l4phbxhkhm90wv21kqhv1za6i7qcb0xr-algebraic-graphs-0.7
1498.51 s
[algebraic-graphs] shrinking /nix/store/l4phbxhkhm90wv21kqhv1za6i7qcb0xr-algebraic-graphs-0.7/lib/ghc-9.8.4/lib/x86_64-linux-ghc-9.8.4/libHSalgebraic-graphs-0.7-FivNbIKLMvMFivhqM96Qyy-ghc9.8.4.so
1498.53 s
[algebraic-graphs] checking for references to /build/ in /nix/store/l4phbxhkhm90wv21kqhv1za6i7qcb0xr-algebraic-graphs-0.7...
1498.56 s
[algebraic-graphs] patching script interpreter paths in /nix/store/l4phbxhkhm90wv21kqhv1za6i7qcb0xr-algebraic-graphs-0.7
1498.57 s
[algebraic-graphs] stripping (with command strip and flags -S -p) in /nix/store/l4phbxhkhm90wv21kqhv1za6i7qcb0xr-algebraic-graphs-0.7/lib
1498.83 s
[algebraic-graphs] shrinking RPATHs of ELF executables and libraries in /nix/store/791bmb2szx0fs4lnydlqh9rsmp0r0fgb-algebraic-graphs-0.7-doc
1498.84 s
[algebraic-graphs] checking for references to /build/ in /nix/store/791bmb2szx0fs4lnydlqh9rsmp0r0fgb-algebraic-graphs-0.7-doc...
1498.87 s
[algebraic-graphs] patching script interpreter paths in /nix/store/791bmb2szx0fs4lnydlqh9rsmp0r0fgb-algebraic-graphs-0.7-doc
1499.03 s
[post-build-hook] Uploading to cachix cache "sellout": /nix/store/791bmb2szx0fs4lnydlqh9rsmp0r0fgb-algebraic-graphs-0.7-doc /nix/store/l4phbxhkhm90wv21kqhv1za6i7qcb0xr-algebraic-graphs-0.7
1507.99 s
[post-build-hook] Pushing 2 paths (70 are already present) using zstd to cache sellout ⏳
1507.99 s
[post-build-hook]
1512.59 s
[post-build-hook] Pushing /nix/store/791bmb2szx0fs4lnydlqh9rsmp0r0fgb-algebraic-graphs-0.7-doc (10.45 MiB)
1512.67 s
[post-build-hook] Pushing /nix/store/l4phbxhkhm90wv21kqhv1za6i7qcb0xr-algebraic-graphs-0.7 (24.13 MiB)
1521.82 s
[post-build-hook]
1521.84 s
[post-build-hook] All done.
1521.84 s
[post-build-hook] Uploading to the NixCI cache: /nix/store/791bmb2szx0fs4lnydlqh9rsmp0r0fgb-algebraic-graphs-0.7-doc /nix/store/l4phbxhkhm90wv21kqhv1za6i7qcb0xr-algebraic-graphs-0.7
1521.88 s
[post-build-hook] warning: 'warn-short-path-literals' is deprecated, use 'lint-short-path-literals = ignore' instead
1521.89 s
[post-build-hook] copying 2 paths...
1521.89 s
[post-build-hook] copying path '/nix/store/791bmb2szx0fs4lnydlqh9rsmp0r0fgb-algebraic-graphs-0.7-doc' to 'https://cache.nix-ci.com'...
1523.21 s
[post-build-hook] copying path '/nix/store/l4phbxhkhm90wv21kqhv1za6i7qcb0xr-algebraic-graphs-0.7' to 'https://cache.nix-ci.com'...
1527.97 s
[post-build-hook] warning: 'warn-short-path-literals' is deprecated, use 'lint-short-path-literals = ignore' instead
1528.20 s
[post-build-hook] copying 1 paths...
1528.20 s
[post-build-hook] copying path '/nix/store/wm6rixrf93nj2wray6pk5q4kaj3f18r4-algebraic-graphs-0.7.drv' to 'https://cache.nix-ci.com'...
1528.33 s
Progress: 46 of 50 built, 786 of 786 downloaded from cache
1528.38 s
Building ghc-9.8.4-with-packages
1528.44 s
[ghc-9.8.4-with-packages] /nix/store/njpw8hiwdi4abvh8g8yavys2ykkm6gmp-doctest-0.24.2/nix-support:
1528.44 s
[ghc-9.8.4-with-packages] propagated-build-inputs: Keeping existing link to /nix/store/l4phbxhkhm90wv21kqhv1za6i7qcb0xr-algebraic-graphs-0.7/nix-support/propagated-build-inputs
1528.44 s
[ghc-9.8.4-with-packages] /nix/store/kz6rjig02ilxg6pingy2i9bwc922mpj8-ghc-compat-plugin-0.1.0.1/nix-support:
1528.44 s
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1528.45 s
[ghc-9.8.4-with-packages] /nix/store/brj4qf8vdmj7spncza7z460973g4k8d1-hedgehog-1.5/nix-support:
1528.45 s
[ghc-9.8.4-with-packages] propagated-build-inputs: Keeping existing link to /nix/store/l4phbxhkhm90wv21kqhv1za6i7qcb0xr-algebraic-graphs-0.7/nix-support/propagated-build-inputs
1528.47 s
[ghc-9.8.4-with-packages] /nix/store/c4ql4nnhdk6f139cj7xfmhq1llfn97wl-Cabal-3.12.1.0/nix-support:
1528.47 s
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1528.48 s
[ghc-9.8.4-with-packages] /nix/store/cqcznxgaasil9l8ih22jn7s2p210cc1p-cabal-doctest-1.0.12/nix-support:
1528.48 s
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1528.50 s
[ghc-9.8.4-with-packages] /nix/store/2h1nqkxls7wf3ziyxjjslcwdncqly0fd-temporary-1.3/nix-support:
1528.50 s
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1528.50 s
[ghc-9.8.4-with-packages] /nix/store/2h1nqkxls7wf3ziyxjjslcwdncqly0fd-temporary-1.3/nix-support:
1528.50 s
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1528.50 s
[ghc-9.8.4-with-packages] /nix/store/6iclwl0rlh1kk822k56r744jzjdl29yx-ansi-terminal-1.1.3/nix-support:
1528.50 s
[ghc-9.8.4-with-packages] propagated-build-inputs: Keeping existing link to /nix/store/l4phbxhkhm90wv21kqhv1za6i7qcb0xr-algebraic-graphs-0.7/nix-support/propagated-build-inputs
1528.50 s
[ghc-9.8.4-with-packages] /nix/store/6iclwl0rlh1kk822k56r744jzjdl29yx-ansi-terminal-1.1.3/nix-support:
1528.50 s
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1528.50 s
[ghc-9.8.4-with-packages] /nix/store/37ii3d70vq73cxiq03b88d3yrskjbnh0-async-2.2.5/nix-support:
1528.50 s
[ghc-9.8.4-with-packages] propagated-build-inputs: Keeping existing link to /nix/store/l4phbxhkhm90wv21kqhv1za6i7qcb0xr-algebraic-graphs-0.7/nix-support/propagated-build-inputs
1528.50 s
[ghc-9.8.4-with-packages] /nix/store/37ii3d70vq73cxiq03b88d3yrskjbnh0-async-2.2.5/nix-support:
1528.50 s
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1528.51 s
[ghc-9.8.4-with-packages] /nix/store/w4z3vda339lhgdlja4x3z8q1cp1l9mi1-barbies-2.1.1.0/nix-support:
1528.51 s
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1528.51 s
[ghc-9.8.4-with-packages] /nix/store/w4z3vda339lhgdlja4x3z8q1cp1l9mi1-barbies-2.1.1.0/nix-support:
1528.51 s
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1528.51 s
[ghc-9.8.4-with-packages] /nix/store/ih5q3f5hi5v38hrw0vk8hyzlp82c6m2b-concurrent-output-1.10.21/nix-support:
1528.51 s
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1528.51 s
[ghc-9.8.4-with-packages] /nix/store/ih5q3f5hi5v38hrw0vk8hyzlp82c6m2b-concurrent-output-1.10.21/nix-support:
1528.51 s
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1528.52 s
[ghc-9.8.4-with-packages] /nix/store/7dxnsc4zh61lfaq4yqkb14cs9j0il00v-lifted-async-0.10.2.7/nix-support:
1528.52 s
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1528.52 s
[ghc-9.8.4-with-packages] /nix/store/7dxnsc4zh61lfaq4yqkb14cs9j0il00v-lifted-async-0.10.2.7/nix-support:
1528.52 s
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1528.52 s
[ghc-9.8.4-with-packages] /nix/store/vr8f1x98zcmfm5iq6z43yykp2mavc3zn-mmorph-1.2.1/nix-support:
1528.52 s
[ghc-9.8.4-with-packages] propagated-build-inputs: Keeping existing link to /nix/store/l4phbxhkhm90wv21kqhv1za6i7qcb0xr-algebraic-graphs-0.7/nix-support/propagated-build-inputs
1528.52 s
[ghc-9.8.4-with-packages] /nix/store/vr8f1x98zcmfm5iq6z43yykp2mavc3zn-mmorph-1.2.1/nix-support:
1528.52 s
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1528.52 s
[ghc-9.8.4-with-packages] /nix/store/s1z0b4ripxaibcbjg8b0kq727agp4bf5-monad-control-1.0.3.1/nix-support:
1528.52 s
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1528.52 s
[ghc-9.8.4-with-packages] /nix/store/s1z0b4ripxaibcbjg8b0kq727agp4bf5-monad-control-1.0.3.1/nix-support:
1528.52 s
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1528.52 s
[ghc-9.8.4-with-packages] /nix/store/59j0bw5x2b4qr5g5qygfyd9ldc7winzy-pretty-show-1.10/nix-support:
1528.52 s
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1528.53 s
[ghc-9.8.4-with-packages] /nix/store/59j0bw5x2b4qr5g5qygfyd9ldc7winzy-pretty-show-1.10/nix-support:
1528.53 s
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1528.53 s
[ghc-9.8.4-with-packages] /nix/store/d05v3j9vbx9wmhyxvfqg38gi85gqw9qb-primitive-0.9.1.0/nix-support:
1528.53 s
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1528.53 s
[ghc-9.8.4-with-packages] /nix/store/d05v3j9vbx9wmhyxvfqg38gi85gqw9qb-primitive-0.9.1.0/nix-support:
1528.53 s
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1528.53 s
[ghc-9.8.4-with-packages] /nix/store/rb3x326m38l05vvxp1yvjgmf8bsxviw2-random-1.2.1.3/nix-support:
1528.53 s
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1528.53 s
[ghc-9.8.4-with-packages] /nix/store/rb3x326m38l05vvxp1yvjgmf8bsxviw2-random-1.2.1.3/nix-support:
1528.53 s
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1528.53 s
[ghc-9.8.4-with-packages] /nix/store/mrjrznagfjx3hfidymraaj2hcj9hdgg3-resourcet-1.3.0/nix-support:
1528.53 s
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1528.54 s
[ghc-9.8.4-with-packages] /nix/store/mrjrznagfjx3hfidymraaj2hcj9hdgg3-resourcet-1.3.0/nix-support:
1528.54 s
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1528.54 s
[ghc-9.8.4-with-packages] /nix/store/vb5xrkg5w86rs98l5zvj8pm2gq03989c-safe-exceptions-0.1.7.4/nix-support:
1528.54 s
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1528.54 s
[ghc-9.8.4-with-packages] /nix/store/vb5xrkg5w86rs98l5zvj8pm2gq03989c-safe-exceptions-0.1.7.4/nix-support:
1528.54 s
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1528.54 s
[ghc-9.8.4-with-packages] /nix/store/rjrip1qdcl1scs6b0hkcc4p9xy5ng4q7-transformers-base-0.4.6/nix-support:
1528.54 s
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1528.54 s
[ghc-9.8.4-with-packages] /nix/store/rjrip1qdcl1scs6b0hkcc4p9xy5ng4q7-transformers-base-0.4.6/nix-support:
1528.54 s
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1528.54 s
[ghc-9.8.4-with-packages] /nix/store/9aa9qaibricg5j6s9n99jpaq30xlqclb-wl-pprint-annotated-0.1.0.1/nix-support:
1528.54 s
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1528.54 s
[ghc-9.8.4-with-packages] /nix/store/9aa9qaibricg5j6s9n99jpaq30xlqclb-wl-pprint-annotated-0.1.0.1/nix-support:
1528.54 s
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1528.56 s
[ghc-9.8.4-with-packages] /nix/store/rhfkd4j7g7kf3gr8kyfxwbw7rq872ci5-Cabal-syntax-3.12.1.0/nix-support:
1528.56 s
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1528.57 s
[ghc-9.8.4-with-packages] /nix/store/rhfkd4j7g7kf3gr8kyfxwbw7rq872ci5-Cabal-syntax-3.12.1.0/nix-support:
1528.57 s
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[ghc-9.8.4-with-packages] /nix/store/1nhn1pmdh6rynrwg64wa6jyg05r1w8i2-ansi-terminal-types-1.1.3/nix-support:
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[ghc-9.8.4-with-packages] /nix/store/1nhn1pmdh6rynrwg64wa6jyg05r1w8i2-ansi-terminal-types-1.1.3/nix-support:
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[ghc-9.8.4-with-packages] /nix/store/accjj1a7s58f9csn4533s5y10v7i5ayr-hashable-1.5.0.0/nix-support:
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[ghc-9.8.4-with-packages] /nix/store/qxdzqhj867c1d36953knff37mw83ficf-distributive-0.6.2.1/nix-support:
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[ghc-9.8.4-with-packages] /nix/store/mirzq3yfg5wbl8wsna9b3qvxrp4nmb6z-constraints-0.14.2/nix-support:
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[ghc-9.8.4-with-packages] /nix/store/mirzq3yfg5wbl8wsna9b3qvxrp4nmb6z-constraints-0.14.2/nix-support:
1528.59 s
[ghc-9.8.4-with-packages] propagated-build-inputs: Keeping existing link to /nix/store/l4phbxhkhm90wv21kqhv1za6i7qcb0xr-algebraic-graphs-0.7/nix-support/propagated-build-inputs
1528.59 s
[ghc-9.8.4-with-packages] /nix/store/cr7zciv2q01j4xja03w3bjm4xr65rfv8-lifted-base-0.2.3.12/nix-support:
1528.59 s
[ghc-9.8.4-with-packages] propagated-build-inputs: Keeping existing link to /nix/store/l4phbxhkhm90wv21kqhv1za6i7qcb0xr-algebraic-graphs-0.7/nix-support/propagated-build-inputs
1528.59 s
[ghc-9.8.4-with-packages] /nix/store/cr7zciv2q01j4xja03w3bjm4xr65rfv8-lifted-base-0.2.3.12/nix-support:
1528.59 s
[ghc-9.8.4-with-packages] propagated-build-inputs: Keeping existing link to /nix/store/l4phbxhkhm90wv21kqhv1za6i7qcb0xr-algebraic-graphs-0.7/nix-support/propagated-build-inputs
1528.59 s
[ghc-9.8.4-with-packages] /nix/store/99zq1gil5hgnklr8zzijqnw501q4rw5s-transformers-compat-0.7.2/nix-support:
1528.59 s
[ghc-9.8.4-with-packages] propagated-build-inputs: Keeping existing link to /nix/store/l4phbxhkhm90wv21kqhv1za6i7qcb0xr-algebraic-graphs-0.7/nix-support/propagated-build-inputs
1528.59 s
[ghc-9.8.4-with-packages] /nix/store/99zq1gil5hgnklr8zzijqnw501q4rw5s-transformers-compat-0.7.2/nix-support:
1528.59 s
[ghc-9.8.4-with-packages] propagated-build-inputs: Keeping existing link to /nix/store/l4phbxhkhm90wv21kqhv1za6i7qcb0xr-algebraic-graphs-0.7/nix-support/propagated-build-inputs
1528.60 s
[ghc-9.8.4-with-packages] /nix/store/s8ar36hx1qjsj73pgvppnl6dqm18l69w-splitmix-0.1.3.1/nix-support:
1528.60 s
[ghc-9.8.4-with-packages] propagated-build-inputs: Keeping existing link to /nix/store/l4phbxhkhm90wv21kqhv1za6i7qcb0xr-algebraic-graphs-0.7/nix-support/propagated-build-inputs
1528.60 s
[ghc-9.8.4-with-packages] /nix/store/s8ar36hx1qjsj73pgvppnl6dqm18l69w-splitmix-0.1.3.1/nix-support:
1528.60 s
[ghc-9.8.4-with-packages] propagated-build-inputs: Keeping existing link to /nix/store/l4phbxhkhm90wv21kqhv1za6i7qcb0xr-algebraic-graphs-0.7/nix-support/propagated-build-inputs
1528.60 s
[ghc-9.8.4-with-packages] /nix/store/yvar5jgnrvkz1qa6vzv18830lpa2jwyl-unliftio-core-0.2.1.0/nix-support:
1528.60 s
[ghc-9.8.4-with-packages] propagated-build-inputs: Keeping existing link to /nix/store/l4phbxhkhm90wv21kqhv1za6i7qcb0xr-algebraic-graphs-0.7/nix-support/propagated-build-inputs
1528.60 s
[ghc-9.8.4-with-packages] /nix/store/yvar5jgnrvkz1qa6vzv18830lpa2jwyl-unliftio-core-0.2.1.0/nix-support:
1528.60 s
[ghc-9.8.4-with-packages] propagated-build-inputs: Keeping existing link to /nix/store/l4phbxhkhm90wv21kqhv1za6i7qcb0xr-algebraic-graphs-0.7/nix-support/propagated-build-inputs
1528.60 s
[ghc-9.8.4-with-packages] /nix/store/qlvsmyiaz3ib75d4q3wm7wnjwzb59dnh-base-orphans-0.9.3/nix-support:
1528.60 s
[ghc-9.8.4-with-packages] propagated-build-inputs: Keeping existing link to /nix/store/l4phbxhkhm90wv21kqhv1za6i7qcb0xr-algebraic-graphs-0.7/nix-support/propagated-build-inputs
1528.61 s
[ghc-9.8.4-with-packages] /nix/store/qlvsmyiaz3ib75d4q3wm7wnjwzb59dnh-base-orphans-0.9.3/nix-support:
1528.61 s
[ghc-9.8.4-with-packages] propagated-build-inputs: Keeping existing link to /nix/store/l4phbxhkhm90wv21kqhv1za6i7qcb0xr-algebraic-graphs-0.7/nix-support/propagated-build-inputs
1528.61 s
[ghc-9.8.4-with-packages] /nix/store/p7324fxikqvxaql2mrmhlz6cby1qc8lc-os-string-2.0.8/nix-support:
1528.61 s
[ghc-9.8.4-with-packages] propagated-build-inputs: Keeping existing link to /nix/store/l4phbxhkhm90wv21kqhv1za6i7qcb0xr-algebraic-graphs-0.7/nix-support/propagated-build-inputs
1528.61 s
[ghc-9.8.4-with-packages] /nix/store/p7324fxikqvxaql2mrmhlz6cby1qc8lc-os-string-2.0.8/nix-support:
1528.61 s
[ghc-9.8.4-with-packages] propagated-build-inputs: Keeping existing link to /nix/store/l4phbxhkhm90wv21kqhv1za6i7qcb0xr-algebraic-graphs-0.7/nix-support/propagated-build-inputs
1528.61 s
[ghc-9.8.4-with-packages] /nix/store/zpq343jdivqaml3qfsfz174hif76ndan-tagged-0.8.9/nix-support:
1528.61 s
[ghc-9.8.4-with-packages] propagated-build-inputs: Keeping existing link to /nix/store/l4phbxhkhm90wv21kqhv1za6i7qcb0xr-algebraic-graphs-0.7/nix-support/propagated-build-inputs
1528.61 s
[ghc-9.8.4-with-packages] /nix/store/zpq343jdivqaml3qfsfz174hif76ndan-tagged-0.8.9/nix-support:
1528.61 s
[ghc-9.8.4-with-packages] propagated-build-inputs: Keeping existing link to /nix/store/l4phbxhkhm90wv21kqhv1za6i7qcb0xr-algebraic-graphs-0.7/nix-support/propagated-build-inputs
1528.61 s
[ghc-9.8.4-with-packages] /nix/store/390smls5rl93m23ijffn4h64ak09s7gw-boring-0.2.2/nix-support:
1528.61 s
[ghc-9.8.4-with-packages] propagated-build-inputs: Keeping existing link to /nix/store/l4phbxhkhm90wv21kqhv1za6i7qcb0xr-algebraic-graphs-0.7/nix-support/propagated-build-inputs
1528.61 s
[ghc-9.8.4-with-packages] /nix/store/390smls5rl93m23ijffn4h64ak09s7gw-boring-0.2.2/nix-support:
1528.61 s
[ghc-9.8.4-with-packages] propagated-build-inputs: Keeping existing link to /nix/store/l4phbxhkhm90wv21kqhv1za6i7qcb0xr-algebraic-graphs-0.7/nix-support/propagated-build-inputs
1529.22 s
[ghc-9.8.4-with-packages] Warning: include-dirs: /nix/store/bcdxrpc50rddk37yg3x0xxzp3gzvfjdk-ghc-9.8.4-with-packages/lib/ghc-9.8.4/lib/../lib/x86_64-linux-ghc-9.8.4/directory-1.3.8.5-fa66/include doesn't exist or isn't a directory
1530.30 s
[post-build-hook] Uploading to cachix cache "sellout": /nix/store/bcdxrpc50rddk37yg3x0xxzp3gzvfjdk-ghc-9.8.4-with-packages
1539.81 s
[post-build-hook] Pushing 1 paths (154 are already present) using zstd to cache sellout ⏳
1539.83 s
[post-build-hook]
1542.22 s
[post-build-hook] Pushing /nix/store/bcdxrpc50rddk37yg3x0xxzp3gzvfjdk-ghc-9.8.4-with-packages (4.98 MiB)
1544.65 s
[post-build-hook]
1544.65 s
[post-build-hook] All done.
1544.67 s
[post-build-hook] Uploading to the NixCI cache: /nix/store/bcdxrpc50rddk37yg3x0xxzp3gzvfjdk-ghc-9.8.4-with-packages
1544.70 s
[post-build-hook] warning: 'warn-short-path-literals' is deprecated, use 'lint-short-path-literals = ignore' instead
1544.84 s
[post-build-hook] copying 1 paths...
1544.85 s
[post-build-hook] copying path '/nix/store/bcdxrpc50rddk37yg3x0xxzp3gzvfjdk-ghc-9.8.4-with-packages' to 'https://cache.nix-ci.com'...
1545.75 s
[post-build-hook] warning: 'warn-short-path-literals' is deprecated, use 'lint-short-path-literals = ignore' instead
1545.93 s
[post-build-hook] copying 1 paths...
1545.93 s
[post-build-hook] copying path '/nix/store/wa1x27izynfbf5fagzvwjxfm374zsm62-ghc-9.8.4-with-packages.drv' to 'https://cache.nix-ci.com'...
1546.08 s
Progress: 47 of 49 built, 786 of 786 downloaded from cache
1546.13 s
Building ghc-shell-for-packages
1546.24 s
[post-build-hook] Uploading to cachix cache "sellout": /nix/store/y8rwq5aaj58ja6ppjyxnkfsc08q4zl45-ghc-shell-for-packages-0
1546.74 s
[post-build-hook] Pushing 1 paths (337 are already present) using zstd to cache sellout ⏳
1546.74 s
[post-build-hook]
1547.22 s
[post-build-hook] Pushing /nix/store/y8rwq5aaj58ja6ppjyxnkfsc08q4zl45-ghc-shell-for-packages-0 (256.00 B)
1548.15 s
[post-build-hook]
1548.15 s
[post-build-hook] All done.
1548.17 s
[post-build-hook] Uploading to the NixCI cache: /nix/store/y8rwq5aaj58ja6ppjyxnkfsc08q4zl45-ghc-shell-for-packages-0
1548.21 s
[post-build-hook] warning: 'warn-short-path-literals' is deprecated, use 'lint-short-path-literals = ignore' instead
1548.23 s
[post-build-hook] copying 1 paths...
1548.23 s
[post-build-hook] copying path '/nix/store/y8rwq5aaj58ja6ppjyxnkfsc08q4zl45-ghc-shell-for-packages-0' to 'https://cache.nix-ci.com'...
1548.41 s
[post-build-hook] warning: 'warn-short-path-literals' is deprecated, use 'lint-short-path-literals = ignore' instead
1548.72 s
[post-build-hook] copying 1 paths...
1548.72 s
[post-build-hook] copying path '/nix/store/sdjcmc2y5wkrbyi7wq4i1gagwmvq5b7y-ghc-shell-for-packages-0.drv' to 'https://cache.nix-ci.com'...
1548.86 s
Progress: 48 of 49 built, 786 of 786 downloaded from cache