k8s.io/kubernetes@v1.31.0-alpha.0.0.20240520171757-56147500dadc/third_party/forked/gonum/graph/traverse/traverse.go (about) 1 // Copyright ©2015 The gonum Authors. All rights reserved. 2 // Use of this source code is governed by a BSD-style 3 // license that can be found in the LICENSE file. 4 5 // Package traverse provides basic graph traversal primitives. 6 package traverse 7 8 import ( 9 "golang.org/x/tools/container/intsets" 10 11 "k8s.io/kubernetes/third_party/forked/gonum/graph" 12 "k8s.io/kubernetes/third_party/forked/gonum/graph/internal/linear" 13 ) 14 15 // BreadthFirst implements stateful breadth-first graph traversal. 16 type BreadthFirst struct { 17 EdgeFilter func(graph.Edge) bool 18 Visit func(u, v graph.Node) 19 queue linear.NodeQueue 20 visited *intsets.Sparse 21 } 22 23 // Walk performs a breadth-first traversal of the graph g starting from the given node, 24 // depending on the EdgeFilter field and the until parameter if they are non-nil. The 25 // traversal follows edges for which EdgeFilter(edge) is true and returns the first node 26 // for which until(node, depth) is true. During the traversal, if the Visit field is 27 // non-nil, it is called with the nodes joined by each followed edge. 28 func (b *BreadthFirst) Walk(g graph.Graph, from graph.Node, until func(n graph.Node, d int) bool) graph.Node { 29 if b.visited == nil { 30 b.visited = &intsets.Sparse{} 31 } 32 b.queue.Enqueue(from) 33 b.visited.Insert(from.ID()) 34 35 var ( 36 depth int 37 children int 38 untilNext = 1 39 ) 40 for b.queue.Len() > 0 { 41 t := b.queue.Dequeue() 42 if until != nil && until(t, depth) { 43 return t 44 } 45 for _, n := range g.From(t) { 46 if b.EdgeFilter != nil && !b.EdgeFilter(g.Edge(t, n)) { 47 continue 48 } 49 if b.visited.Has(n.ID()) { 50 continue 51 } 52 if b.Visit != nil { 53 b.Visit(t, n) 54 } 55 b.visited.Insert(n.ID()) 56 children++ 57 b.queue.Enqueue(n) 58 } 59 if untilNext--; untilNext == 0 { 60 depth++ 61 untilNext = children 62 children = 0 63 } 64 } 65 66 return nil 67 } 68 69 // WalkAll calls Walk for each unvisited node of the graph g using edges independent 70 // of their direction. The functions before and after are called prior to commencing 71 // and after completing each walk if they are non-nil respectively. The function 72 // during is called on each node as it is traversed. 73 func (b *BreadthFirst) WalkAll(g graph.Undirected, before, after func(), during func(graph.Node)) { 74 b.Reset() 75 for _, from := range g.Nodes() { 76 if b.Visited(from) { 77 continue 78 } 79 if before != nil { 80 before() 81 } 82 b.Walk(g, from, func(n graph.Node, _ int) bool { 83 if during != nil { 84 during(n) 85 } 86 return false 87 }) 88 if after != nil { 89 after() 90 } 91 } 92 } 93 94 // Visited returned whether the node n was visited during a traverse. 95 func (b *BreadthFirst) Visited(n graph.Node) bool { 96 return b.visited != nil && b.visited.Has(n.ID()) 97 } 98 99 // Reset resets the state of the traverser for reuse. 100 func (b *BreadthFirst) Reset() { 101 b.queue.Reset() 102 if b.visited != nil { 103 b.visited.Clear() 104 } 105 } 106 107 // DepthFirst implements stateful depth-first graph traversal. 108 type DepthFirst struct { 109 EdgeFilter func(graph.Edge) bool 110 Visit func(u, v graph.Node) 111 stack linear.NodeStack 112 visited *intsets.Sparse 113 } 114 115 // Walk performs a depth-first traversal of the graph g starting from the given node, 116 // depending on the EdgeFilter field and the until parameter if they are non-nil. The 117 // traversal follows edges for which EdgeFilter(edge) is true and returns the first node 118 // for which until(node) is true. During the traversal, if the Visit field is non-nil, it 119 // is called with the nodes joined by each followed edge. 120 func (d *DepthFirst) Walk(g graph.Graph, from graph.Node, until func(graph.Node) bool) graph.Node { 121 if d.visited == nil { 122 d.visited = &intsets.Sparse{} 123 } 124 d.stack.Push(from) 125 d.visited.Insert(from.ID()) 126 127 for d.stack.Len() > 0 { 128 t := d.stack.Pop() 129 if until != nil && until(t) { 130 return t 131 } 132 for _, n := range g.From(t) { 133 if d.EdgeFilter != nil && !d.EdgeFilter(g.Edge(t, n)) { 134 continue 135 } 136 if d.visited.Has(n.ID()) { 137 continue 138 } 139 if d.Visit != nil { 140 d.Visit(t, n) 141 } 142 d.visited.Insert(n.ID()) 143 d.stack.Push(n) 144 } 145 } 146 147 return nil 148 } 149 150 // WalkAll calls Walk for each unvisited node of the graph g using edges independent 151 // of their direction. The functions before and after are called prior to commencing 152 // and after completing each walk if they are non-nil respectively. The function 153 // during is called on each node as it is traversed. 154 func (d *DepthFirst) WalkAll(g graph.Undirected, before, after func(), during func(graph.Node)) { 155 d.Reset() 156 for _, from := range g.Nodes() { 157 if d.Visited(from) { 158 continue 159 } 160 if before != nil { 161 before() 162 } 163 d.Walk(g, from, func(n graph.Node) bool { 164 if during != nil { 165 during(n) 166 } 167 return false 168 }) 169 if after != nil { 170 after() 171 } 172 } 173 } 174 175 // Visited returned whether the node n was visited during a traverse. 176 func (d *DepthFirst) Visited(n graph.Node) bool { 177 return d.visited != nil && d.visited.Has(n.ID()) 178 } 179 180 // Reset resets the state of the traverser for reuse. 181 func (d *DepthFirst) Reset() { 182 d.stack = d.stack[:0] 183 if d.visited != nil { 184 d.visited.Clear() 185 } 186 }