lnd.xprv/autopilot/betweenness_centrality_test.go
Andras Banki-Horvath 3fe9c70722 autopilot: betweenness centrality using Brandes algo on simplifed graph
This commit adds betweenness centrality to the available node metrics.
Betweenness centrality is a per node centrality measure which for an
arbitrary node v equals to the sum of shortest paths going trough v
divided by the number of all shortest paths for for each vertex pair
k, s where k != s != v.
2020-03-27 10:39:50 +01:00

157 lines
3.6 KiB
Go

package autopilot
import (
"testing"
"github.com/btcsuite/btcd/btcec"
"github.com/btcsuite/btcutil"
)
// Tests that empty graph results in empty centrality result.
func TestBetweennessCentralityEmptyGraph(t *testing.T) {
centralityMetric := NewBetweennessCentralityMetric()
for _, chanGraph := range chanGraphs {
graph, cleanup, err := chanGraph.genFunc()
success := t.Run(chanGraph.name, func(t1 *testing.T) {
if err != nil {
t1.Fatalf("unable to create graph: %v", err)
}
if cleanup != nil {
defer cleanup()
}
if err := centralityMetric.Refresh(graph); err != nil {
t.Fatalf("unexpected failure during metric refresh: %v", err)
}
centrality := centralityMetric.GetMetric(false)
if len(centrality) > 0 {
t.Fatalf("expected empty metric, got: %v", len(centrality))
}
centrality = centralityMetric.GetMetric(true)
if len(centrality) > 0 {
t.Fatalf("expected empty metric, got: %v", len(centrality))
}
})
if !success {
break
}
}
}
// testGraphDesc is a helper type to describe a test graph.
type testGraphDesc struct {
nodes int
edges map[int][]int
}
// buildTestGraph builds a test graph from a passed graph desriptor.
func buildTestGraph(t *testing.T,
graph testGraph, desc testGraphDesc) map[int]*btcec.PublicKey {
nodes := make(map[int]*btcec.PublicKey)
for i := 0; i < desc.nodes; i++ {
key, err := graph.addRandNode()
if err != nil {
t.Fatalf("cannot create random node")
}
nodes[i] = key
}
const chanCapacity = btcutil.SatoshiPerBitcoin
for u, neighbors := range desc.edges {
for _, v := range neighbors {
_, _, err := graph.addRandChannel(nodes[u], nodes[v], chanCapacity)
if err != nil {
t.Fatalf("unexpected error while adding random channel: %v", err)
}
}
}
return nodes
}
// Test betweenness centrality calculating using an example graph.
func TestBetweennessCentralityWithNonEmptyGraph(t *testing.T) {
graphDesc := testGraphDesc{
nodes: 9,
edges: map[int][]int{
0: {1, 2, 3},
1: {2},
2: {3},
3: {4, 5},
4: {5, 6, 7},
5: {6, 7},
6: {7, 8},
},
}
tests := []struct {
name string
normalize bool
centrality []float64
}{
{
normalize: true,
centrality: []float64{
0.2, 0.0, 0.2, 1.0, 0.4, 0.4, 7.0 / 15.0, 0.0, 0.0,
},
},
{
normalize: false,
centrality: []float64{
3.0, 0.0, 3.0, 15.0, 6.0, 6.0, 7.0, 0.0, 0.0,
},
},
}
for _, chanGraph := range chanGraphs {
graph, cleanup, err := chanGraph.genFunc()
if err != nil {
t.Fatalf("unable to create graph: %v", err)
}
if cleanup != nil {
defer cleanup()
}
success := t.Run(chanGraph.name, func(t1 *testing.T) {
centralityMetric := NewBetweennessCentralityMetric()
graphNodes := buildTestGraph(t1, graph, graphDesc)
if err := centralityMetric.Refresh(graph); err != nil {
t1.Fatalf("error while calculating betweeness centrality")
}
for _, test := range tests {
test := test
centrality := centralityMetric.GetMetric(test.normalize)
if len(centrality) != graphDesc.nodes {
t.Fatalf("expected %v values, got: %v",
graphDesc.nodes, len(centrality))
}
for node, nodeCentrality := range test.centrality {
nodeID := NewNodeID(graphNodes[node])
calculatedCentrality, ok := centrality[nodeID]
if !ok {
t1.Fatalf("no result for node: %x (%v)", nodeID, node)
}
if nodeCentrality != calculatedCentrality {
t1.Errorf("centrality for node: %v should be %v, got: %v",
node, test.centrality[node], calculatedCentrality)
}
}
}
})
if !success {
break
}
}
}