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+-- Profile_simple.Play --
+package main
+
+import (
+ "fmt"
+ "log"
+ "sort"
+
+ "golang.org/x/exp/rand"
+
+ "gonum.org/v1/gonum/graph/community"
+ "gonum.org/v1/gonum/graph/internal/ordered"
+ "gonum.org/v1/gonum/graph/simple"
+)
+
+func main() {
+ // Profile calls Modularize which implements the Louvain modularization algorithm.
+ // Since this is a randomized algorithm we use a defined random source to ensure
+ // consistency between test runs. In practice, results will not differ greatly
+ // between runs with different PRNG seeds.
+ src := rand.NewSource(1)
+
+ // Create dumbell graph:
+ //
+ // 0 4
+ // |\ /|
+ // | 2 - 3 |
+ // |/ \|
+ // 1 5
+ //
+ g := simple.NewUndirectedGraph()
+ for u, e := range smallDumbell {
+ for v := range e {
+ g.SetEdge(simple.Edge{F: simple.Node(u), T: simple.Node(v)})
+ }
+ }
+
+ // Get the profile of internal node weight for resolutions
+ // between 0.1 and 10 using logarithmic bisection.
+ p, err := community.Profile(
+ community.ModularScore(g, community.Weight, 10, src),
+ true, 1e-3, 0.1, 10,
+ )
+ if err != nil {
+ log.Fatal(err)
+ }
+
+ // Print out each step with communities ordered.
+ for _, d := range p {
+ comm := d.Communities()
+ for _, c := range comm {
+ sort.Sort(ordered.ByID(c))
+ }
+ sort.Sort(ordered.BySliceIDs(comm))
+ fmt.Printf("Low:%.2v High:%.2v Score:%v Communities:%v Q=%.3v\n",
+ d.Low, d.High, d.Score, comm, community.Q(g, comm, d.Low))
+ }
+
+}
+
+// intset is an integer set.
+type intset map[int]struct{}
+
+func linksTo(i ...int) intset {
+ if len(i) == 0 {
+ return nil
+ }
+ s := make(intset)
+ for _, v := range i {
+ s[v] = struct{}{}
+ }
+ return s
+}
+
+var smallDumbell = []intset{
+ 0: linksTo(1, 2),
+ 1: linksTo(2),
+ 2: linksTo(3),
+ 3: linksTo(4, 5),
+ 4: linksTo(5),
+ 5: nil,
+}
+
+-- Profile_simple.Output --
+Low:0.1 High:0.29 Score:14 Communities:[[0 1 2 3 4 5]] Q=0.9
+Low:0.29 High:2.3 Score:12 Communities:[[0 1 2] [3 4 5]] Q=0.714
+Low:2.3 High:3.5 Score:4 Communities:[[0 1] [2] [3] [4 5]] Q=-0.31
+Low:3.5 High:10 Score:0 Communities:[[0] [1] [2] [3] [4] [5]] Q=-0.607
+
+-- Profile_multiplex.Play --
+
+package main
+
+import (
+ "fmt"
+ "log"
+ "sort"
+
+ "golang.org/x/exp/rand"
+
+ "gonum.org/v1/gonum/graph/community"
+ "gonum.org/v1/gonum/graph/internal/ordered"
+ "gonum.org/v1/gonum/graph/simple"
+)
+
+var friends, enemies *simple.WeightedUndirectedGraph
+
+func main() {
+ // Profile calls ModularizeMultiplex which implements the Louvain modularization
+ // algorithm. Since this is a randomized algorithm we use a defined random source
+ // to ensure consistency between test runs. In practice, results will not differ
+ // greatly between runs with different PRNG seeds.
+ src := rand.NewSource(1)
+
+ // The undirected graphs, friends and enemies, are the political relationships
+ // in the Middle East as described in the Slate article:
+ // http://www.slate.com/blogs/the_world_/2014/07/17/the_middle_east_friendship_chart.html
+ g, err := community.NewUndirectedLayers(friends, enemies)
+ if err != nil {
+ log.Fatal(err)
+ }
+ weights := []float64{1, -1}
+
+ // Get the profile of internal node weight for resolutions
+ // between 0.1 and 10 using logarithmic bisection.
+ p, err := community.Profile(
+ community.ModularMultiplexScore(g, weights, true, community.WeightMultiplex, 10, src),
+ true, 1e-3, 0.1, 10,
+ )
+ if err != nil {
+ log.Fatal(err)
+ }
+
+ // Print out each step with communities ordered.
+ for _, d := range p {
+ comm := d.Communities()
+ for _, c := range comm {
+ sort.Sort(ordered.ByID(c))
+ }
+ sort.Sort(ordered.BySliceIDs(comm))
+ fmt.Printf("Low:%.2v High:%.2v Score:%v Communities:%v Q=%.3v\n",
+ d.Low, d.High, d.Score, comm, community.QMultiplex(g, comm, weights, []float64{d.Low}))
+ }
+
+}
+-- Profile_multiplex.Output --
+Low:0.1 High:0.72 Score:26 Communities:[[0] [1 7 9 12] [2 8 11] [3 4 5 10] [6]] Q=[24.7 1.97]
+Low:0.72 High:1.1 Score:24 Communities:[[0 6] [1 7 9 12] [2 8 11] [3 4 5 10]] Q=[16.9 14.1]
+Low:1.1 High:1.2 Score:18 Communities:[[0 2 6 11] [1 7 9 12] [3 4 5 8 10]] Q=[9.16 25.1]
+Low:1.2 High:1.6 Score:10 Communities:[[0 3 4 5 6 10] [1 7 9 12] [2 8 11]] Q=[10.5 26.7]
+Low:1.6 High:1.6 Score:8 Communities:[[0 1 6 7 9 12] [2 8 11] [3 4 5 10]] Q=[5.56 39.8]
+Low:1.6 High:1.8 Score:2 Communities:[[0 2 3 4 5 6 10] [1 7 8 9 11 12]] Q=[-1.82 48.6]
+Low:1.8 High:2.3 Score:-6 Communities:[[0 2 3 4 5 6 8 10 11] [1 7 9 12]] Q=[-5 57.5]
+Low:2.3 High:2.4 Score:-10 Communities:[[0 1 2 6 7 8 9 11 12] [3 4 5 10]] Q=[-11.2 79]
+Low:2.4 High:4.3 Score:-52 Communities:[[0 1 2 3 4 5 6 7 8 9 10 11 12]] Q=[-46.1 117]
+Low:4.3 High:10 Score:-54 Communities:[[0 1 2 3 4 6 7 8 9 10 11 12] [5]] Q=[-82 254]