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- // Copyright ©2014 The gonum Authors. All rights reserved.
- // Use of this source code is governed by a BSD-style
- // license that can be found in the LICENSE file.
- package simple
- import (
- "fmt"
- "golang.org/x/tools/container/intsets"
- "k8s.io/kubernetes/third_party/forked/gonum/graph"
- )
- // UndirectedGraph implements a generalized undirected graph.
- type UndirectedGraph struct {
- nodes map[int]graph.Node
- edges map[int]edgeHolder
- self, absent float64
- freeIDs intsets.Sparse
- usedIDs intsets.Sparse
- }
- // NewUndirectedGraph returns an UndirectedGraph with the specified self and absent
- // edge weight values.
- func NewUndirectedGraph(self, absent float64) *UndirectedGraph {
- return &UndirectedGraph{
- nodes: make(map[int]graph.Node),
- edges: make(map[int]edgeHolder),
- self: self,
- absent: absent,
- }
- }
- // NewNodeID returns a new unique ID for a node to be added to g. The returned ID does
- // not become a valid ID in g until it is added to g.
- func (g *UndirectedGraph) NewNodeID() int {
- if len(g.nodes) == 0 {
- return 0
- }
- if len(g.nodes) == maxInt {
- panic(fmt.Sprintf("simple: cannot allocate node: no slot"))
- }
- var id int
- if g.freeIDs.Len() != 0 && g.freeIDs.TakeMin(&id) {
- return id
- }
- if id = g.usedIDs.Max(); id < maxInt {
- return id + 1
- }
- for id = 0; id < maxInt; id++ {
- if !g.usedIDs.Has(id) {
- return id
- }
- }
- panic("unreachable")
- }
- // AddNode adds n to the graph. It panics if the added node ID matches an existing node ID.
- func (g *UndirectedGraph) AddNode(n graph.Node) {
- if _, exists := g.nodes[n.ID()]; exists {
- panic(fmt.Sprintf("simple: node ID collision: %d", n.ID()))
- }
- g.nodes[n.ID()] = n
- g.edges[n.ID()] = &sliceEdgeHolder{self: n.ID()}
- g.freeIDs.Remove(n.ID())
- g.usedIDs.Insert(n.ID())
- }
- // RemoveNode removes n from the graph, as well as any edges attached to it. If the node
- // is not in the graph it is a no-op.
- func (g *UndirectedGraph) RemoveNode(n graph.Node) {
- if _, ok := g.nodes[n.ID()]; !ok {
- return
- }
- delete(g.nodes, n.ID())
- g.edges[n.ID()].Visit(func(neighbor int, edge graph.Edge) {
- g.edges[neighbor] = g.edges[neighbor].Delete(n.ID())
- })
- delete(g.edges, n.ID())
- g.freeIDs.Insert(n.ID())
- g.usedIDs.Remove(n.ID())
- }
- // SetEdge adds e, an edge from one node to another. If the nodes do not exist, they are added.
- // It will panic if the IDs of the e.From and e.To are equal.
- func (g *UndirectedGraph) SetEdge(e graph.Edge) {
- var (
- from = e.From()
- fid = from.ID()
- to = e.To()
- tid = to.ID()
- )
- if fid == tid {
- panic("simple: adding self edge")
- }
- if !g.Has(from) {
- g.AddNode(from)
- }
- if !g.Has(to) {
- g.AddNode(to)
- }
- g.edges[fid] = g.edges[fid].Set(tid, e)
- g.edges[tid] = g.edges[tid].Set(fid, e)
- }
- // RemoveEdge removes e from the graph, leaving the terminal nodes. If the edge does not exist
- // it is a no-op.
- func (g *UndirectedGraph) RemoveEdge(e graph.Edge) {
- from, to := e.From(), e.To()
- if _, ok := g.nodes[from.ID()]; !ok {
- return
- }
- if _, ok := g.nodes[to.ID()]; !ok {
- return
- }
- g.edges[from.ID()] = g.edges[from.ID()].Delete(to.ID())
- g.edges[to.ID()] = g.edges[to.ID()].Delete(from.ID())
- }
- // Node returns the node in the graph with the given ID.
- func (g *UndirectedGraph) Node(id int) graph.Node {
- return g.nodes[id]
- }
- // Has returns whether the node exists within the graph.
- func (g *UndirectedGraph) Has(n graph.Node) bool {
- _, ok := g.nodes[n.ID()]
- return ok
- }
- // Nodes returns all the nodes in the graph.
- func (g *UndirectedGraph) Nodes() []graph.Node {
- nodes := make([]graph.Node, len(g.nodes))
- i := 0
- for _, n := range g.nodes {
- nodes[i] = n
- i++
- }
- return nodes
- }
- // Edges returns all the edges in the graph.
- func (g *UndirectedGraph) Edges() []graph.Edge {
- var edges []graph.Edge
- seen := make(map[[2]int]struct{})
- for _, u := range g.edges {
- u.Visit(func(neighbor int, e graph.Edge) {
- uid := e.From().ID()
- vid := e.To().ID()
- if _, ok := seen[[2]int{uid, vid}]; ok {
- return
- }
- seen[[2]int{uid, vid}] = struct{}{}
- seen[[2]int{vid, uid}] = struct{}{}
- edges = append(edges, e)
- })
- }
- return edges
- }
- // From returns all nodes in g that can be reached directly from n.
- func (g *UndirectedGraph) From(n graph.Node) []graph.Node {
- if !g.Has(n) {
- return nil
- }
- nodes := make([]graph.Node, g.edges[n.ID()].Len())
- i := 0
- g.edges[n.ID()].Visit(func(neighbor int, edge graph.Edge) {
- nodes[i] = g.nodes[neighbor]
- i++
- })
- return nodes
- }
- // HasEdgeBetween returns whether an edge exists between nodes x and y.
- func (g *UndirectedGraph) HasEdgeBetween(x, y graph.Node) bool {
- _, ok := g.edges[x.ID()].Get(y.ID())
- return ok
- }
- // Edge returns the edge from u to v if such an edge exists and nil otherwise.
- // The node v must be directly reachable from u as defined by the From method.
- func (g *UndirectedGraph) Edge(u, v graph.Node) graph.Edge {
- return g.EdgeBetween(u, v)
- }
- // EdgeBetween returns the edge between nodes x and y.
- func (g *UndirectedGraph) EdgeBetween(x, y graph.Node) graph.Edge {
- // We don't need to check if neigh exists because
- // it's implicit in the edges access.
- if !g.Has(x) {
- return nil
- }
- edge, _ := g.edges[x.ID()].Get(y.ID())
- return edge
- }
- // Weight returns the weight for the edge between x and y if Edge(x, y) returns a non-nil Edge.
- // If x and y are the same node or there is no joining edge between the two nodes the weight
- // value returned is either the graph's absent or self value. Weight returns true if an edge
- // exists between x and y or if x and y have the same ID, false otherwise.
- func (g *UndirectedGraph) Weight(x, y graph.Node) (w float64, ok bool) {
- xid := x.ID()
- yid := y.ID()
- if xid == yid {
- return g.self, true
- }
- if n, ok := g.edges[xid]; ok {
- if e, ok := n.Get(yid); ok {
- return e.Weight(), true
- }
- }
- return g.absent, false
- }
- // Degree returns the degree of n in g.
- func (g *UndirectedGraph) Degree(n graph.Node) int {
- if _, ok := g.nodes[n.ID()]; !ok {
- return 0
- }
- return g.edges[n.ID()].Len()
- }
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