lm-tecniche-di-programmazione/src/main/kotlin/it/norangeb/algorithms/graph/operations/StronglyConnectedComponents.kt

65 lines
2.2 KiB
Kotlin

/*
* MIT License
*
* Copyright (c) 2019 norangebit
*
* Permission is hereby granted, free of charge, to any person obtaining a copy
* of this software and associated documentation files (the "Software"), to deal
* in the Software without restriction, including without limitation the rights
* to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
* copies of the Software, and to permit persons to whom the Software is
* furnished to do so, subject to the following conditions:
*
* The above copyright notice and this permission notice shall be included in all
* copies or substantial portions of the Software.
*
* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
* AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
* OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
* SOFTWARE.
*
*/
package it.norangeb.algorithms.graph.operations
import it.norangeb.algorithms.graph.DirectedGraph
import it.norangeb.algorithms.graph.UndirectedGraph
class StronglyConnectedComponents(graph: DirectedGraph) {
private val graphInfo = Array(graph.vertexNumber()) { VertexInfo() }
private var label = 0
init {
DepthFirstOrder(graph.reverse())
.reversePostOrder()
.forEach {
if (!graphInfo[it].isVisited)
dfs(graph, it, label++)
}
}
private fun dfs(graph: UndirectedGraph, vertex: Int, label: Int) {
graphInfo[vertex] = VertexInfo(true, label)
graph.adjacentVertex(vertex)
.forEach {
if (!graphInfo[it].isVisited)
dfs(graph, it, label)
}
}
fun count() = label
fun component(vertex: Int) = graphInfo[vertex].label
fun stronglyConnected(firstVertex: Int, secondVertex: Int) =
component(firstVertex) == component(secondVertex)
private data class VertexInfo(
var isVisited: Boolean = false,
var label: Int = -1
)
}