add graph

- add interface for undirected and directed graph
- add Graph and DiGraph
- add interface for graph data
- add adjacentMatrix and adjacentList
- add detect directed cycles
This commit is contained in:
Raffaele Mignone 2019-05-18 16:20:48 +02:00
parent 6a554c55c4
commit 423e581529
Signed by: norangebit
GPG Key ID: F5255658CB220573
14 changed files with 832 additions and 4 deletions

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@ -23,11 +23,10 @@ dependencies {
testImplementation(Config.Libs.kluent) testImplementation(Config.Libs.kluent)
testImplementation(Config.Libs.mockk) testImplementation(Config.Libs.mockk)
testImplementation(Config.Libs.jetbrainJunit) testImplementation(Config.Libs.jetbrainJunit)
// testImplementation(Config.Libs.spekDsl) testImplementation(Config.Libs.spekDsl)
testRuntimeOnly(Config.Libs.junitEngine) testRuntimeOnly(Config.Libs.junitEngine)
// testRuntimeOnly(Config.Libs.kotlinReflect) testRuntimeOnly(Config.Libs.spekRunner)
// testRuntimeOnly(Config.Libs.spekRunner)
} }
tasks.withType<KotlinCompile> { tasks.withType<KotlinCompile> {

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@ -29,7 +29,7 @@ object Config {
val kluent = "1.49" val kluent = "1.49"
val koin = "1.0.2" val koin = "1.0.2"
val junit = "5.4.2" val junit = "5.4.2"
val spek = "2.0.1" val spek = "2.0.2"
val kotlin = "1.3.30" val kotlin = "1.3.30"
val mockk = "1.9.3" val mockk = "1.9.3"
val gson = "2.8.5" val gson = "2.8.5"

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@ -0,0 +1,54 @@
/*
* 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
import it.norangeb.algorithms.graph.data.AdjacentList
import it.norangeb.algorithms.graph.data.GraphData
class DiGraph(
private val data: GraphData = AdjacentList()
) : DirectedGraph {
override fun vertexNumber(): Int = data.vertexNumber()
override fun edgeNumber(): Int = data.edgeNumber()
override fun addEdge(firstVertex: Int, secondVertex: Int) = data.addEdge(firstVertex, secondVertex)
override fun adjacentVertex(vertex: Int): Collection<Int> = data.adjacent(vertex)
override fun reverse(): DirectedGraph {
val reverse = DiGraph()
(0 until data.vertexNumber())
.forEach { from ->
data.adjacent(from).forEach { to ->
reverse.addEdge(to, from)
}
}
return reverse
}
}

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@ -0,0 +1,44 @@
/*
* 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
import it.norangeb.algorithms.graph.data.AdjacentList
import it.norangeb.algorithms.graph.data.GraphData
class Graph(
private val data: GraphData = AdjacentList()
) : UndirectedGraph {
override fun vertexNumber(): Int = data.vertexNumber()
override fun edgeNumber(): Int = data.edgeNumber() / 2
override fun addEdge(firstVertex: Int, secondVertex: Int) {
data.addEdge(firstVertex, secondVertex)
data.addEdge(secondVertex, firstVertex)
}
override fun adjacentVertex(vertex: Int): Collection<Int> = data.adjacent(vertex)
}

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@ -0,0 +1,37 @@
/*
* 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
interface UndirectedGraph {
fun vertexNumber(): Int
fun edgeNumber(): Int
fun addEdge(firstVertex: Int, secondVertex: Int)
fun adjacentVertex(vertex: Int): Collection<Int>
}
interface DirectedGraph : UndirectedGraph {
fun reverse(): DirectedGraph
}

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@ -0,0 +1,57 @@
/*
* 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.data
import java.util.TreeMap
import kotlin.math.max
class AdjacentList : GraphData {
private val graph = TreeMap<Int, MutableList<Int>>()
private var edgeNumber = 0
private var maxVertexId = 0
override fun addEdge(firstVertex: Int, secondVertex: Int) {
graph.computeIfAbsent(firstVertex) { mutableListOf() }
graph[firstVertex]?.add(secondVertex)
computeMaxVertexId(firstVertex, secondVertex)
edgeNumber++
}
override fun adjacent(vertex: Int): Collection<Int> {
return graph[vertex] ?: listOf()
}
override fun vertexNumber(): Int = maxVertexId + 1
override fun edgeNumber(): Int = edgeNumber
private fun computeMaxVertexId(firstVertex: Int, secondVertex: Int) {
val max = max(firstVertex, secondVertex)
maxVertexId = max(max, maxVertexId)
}
}

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@ -0,0 +1,50 @@
/*
* 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.data
class AdjacentMatrix(private val vertexNumber: Int) : GraphData {
private val graph = Array(vertexNumber) {
Array(vertexNumber) { false }
}
override fun addEdge(firstVertex: Int, secondVertex: Int) {
graph[firstVertex][secondVertex] = true
}
override fun adjacent(vertex: Int): Collection<Int> {
return graph[vertex]
.mapIndexed { index, b -> if (b) index else -1 }
.filter { it >= 0 }
}
override fun vertexNumber(): Int = vertexNumber
override fun edgeNumber(): Int {
return graph
.map { it.count { it } }
.sum()
}
}

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@ -0,0 +1,33 @@
/*
* 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.data
interface GraphData {
fun addEdge(firstVertex: Int, secondVertex: Int)
fun adjacent(vertex: Int): Collection<Int>
fun vertexNumber(): Int
fun edgeNumber(): Int
}

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@ -0,0 +1,88 @@
/*
* 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
import java.util.Stack
class DirectedCycle(graph: DirectedGraph) {
var cycle: MutableCollection<Int>? = null
private val graphInfo = Array(graph.vertexNumber()) { VertexInfo() }
init {
(0 until graph.vertexNumber())
.forEach {
if (!graphInfo[it].visited)
dfs(graph, it)
}
}
fun hasCycle(): Boolean = cycle != null
private fun dfs(graph: UndirectedGraph, vertex: Int) {
graphInfo[vertex].visited = true
graphInfo[vertex].onStack = true
graph.adjacentVertex(vertex)
.forEach {
when {
hasCycle() -> return@forEach
!graphInfo[it].visited -> exploreChild(graph, vertex, it)
graphInfo[it].onStack -> cycle = makeCycle(vertex, it)
}
}
graphInfo[vertex].onStack = false
}
private fun makeCycle(start: Int, end: Int): MutableCollection<Int> {
val cycle = Stack<Int>()
var currentVertex = start
while (currentVertex != end) {
cycle.add(currentVertex)
currentVertex = graphInfo[currentVertex].previously
}
cycle.add(end)
cycle.add(start)
return cycle
}
private fun exploreChild(graph: UndirectedGraph, parent: Int, child: Int) {
graphInfo[child].previously = parent
dfs(graph, child)
}
data class VertexInfo(
var visited: Boolean = false,
var onStack: Boolean = false,
var previously: Int = -1
)
}

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@ -0,0 +1,103 @@
/*
* 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
import org.amshove.kluent.`should be equal to`
import org.amshove.kluent.`should equal`
import org.spekframework.spek2.Spek
import org.spekframework.spek2.style.gherkin.Feature
object DiGraphTest : Spek({
Feature("directed graph") {
val graph by memoized { DiGraph() }
Scenario("add edges") {
When("add edge 1 -> 4") {
graph.addEdge(1, 4)
}
Then("number of edge should equal to 1") {
graph.edgeNumber() `should be equal to` 1
}
Then("adjacent of 1 should equal listOf(4)") {
graph.adjacentVertex(1) `should equal` listOf(4)
}
Then("adjacent of 4 should be empty") {
graph.adjacentVertex(4).isEmpty() `should be equal to` true
}
When("add edge 1 -> 3, 3 -> 4, 1 -> 5") {
graph.addEdge(1, 3)
graph.addEdge(3, 4)
graph.addEdge(1, 5)
}
Then("number of edge should equal to 4") {
graph.edgeNumber() `should be equal to` 4
}
Then("adjacent of 1 should equal listOf(3, 4, 5)") {
graph.adjacentVertex(1).sorted() `should equal` listOf(3, 4, 5)
}
Then("adjacent of 3 should equal listOf(4)") {
graph.adjacentVertex(3) `should equal` listOf(4)
}
}
Scenario("reverse test") {
val diGraph by memoized { DiGraph() }
Given("directed graph 0 -> 2, 0 -> 4, 1 -> 0, 1 -> 2, 4 -> 2") {
diGraph.addEdge(0, 2)
diGraph.addEdge(0, 4)
diGraph.addEdge(1, 0)
diGraph.addEdge(1, 2)
diGraph.addEdge(4, 2)
}
lateinit var result: DirectedGraph
When("compute the reversed graph") {
result = diGraph.reverse()
}
Then("adjacent of 0 should euqals listOf(1)") {
result.adjacentVertex(0) `should equal` listOf(1)
}
Then("adjacent of 1 should be empty") {
result.adjacentVertex(1).isEmpty() `should be equal to` true
}
Then("adjacent of 2 should equal listOf(0, 1, 4)") {
result.adjacentVertex(2).sorted() `should equal` listOf(0, 1, 4)
}
}
}
})

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@ -0,0 +1,73 @@
/*
* 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
import org.amshove.kluent.`should be equal to`
import org.amshove.kluent.`should equal`
import org.spekframework.spek2.Spek
import org.spekframework.spek2.style.gherkin.Feature
object GraphTest : Spek({
Feature("undirected graph") {
val graph by memoized { Graph() }
Scenario("add edges") {
When("add edge 1 - 4") {
graph.addEdge(1, 4)
}
Then("number of edge should equal to 1") {
graph.edgeNumber() `should be equal to` 1
}
Then("adjacent of 1 should equal listOf(4)") {
graph.adjacentVertex(1) `should equal` listOf(4)
}
Then("adjacent of 4 should equal listOf(1)") {
graph.adjacentVertex(4) `should equal` listOf(1)
}
When("add edge 1 - 3, 3 - 4, 1 - 5") {
graph.addEdge(1, 3)
graph.addEdge(3, 4)
graph.addEdge(1, 5)
}
Then("number of edge should equal to 4") {
graph.edgeNumber() `should be equal to` 4
}
Then("adjacent of 1 should equal listOf(3, 4, 5)") {
graph.adjacentVertex(1).sorted() `should equal` listOf(3, 4, 5)
}
Then("adjacent of 3 should equal listOf(1, 4)") {
graph.adjacentVertex(3).sorted() `should equal` listOf(1, 4)
}
}
}
})

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@ -0,0 +1,87 @@
/*
* 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.data
import org.amshove.kluent.`should be equal to`
import org.amshove.kluent.`should contain`
import org.amshove.kluent.`should equal`
import org.spekframework.spek2.Spek
import org.spekframework.spek2.style.gherkin.Feature
object AdjacentListTest : Spek({
Feature("adjacent list graph data") {
val graphData by memoized { AdjacentList() }
Scenario("add edges") {
When("add edge 1 -> 7") {
graphData.addEdge(1, 7)
}
Then("adjacent of 1 should contains 7") {
graphData.adjacent(1) `should contain` 7
}
Then("adjacent of 7 should be empty") {
graphData.adjacent(7).isEmpty() `should be equal to` true
}
Then("edgeNumber should be equal to 1") {
graphData.edgeNumber() `should be equal to` 1
}
Then("vertexNumber should be equal to 8") {
graphData.vertexNumber() `should be equal to` 8
}
When("add edge 1 -> 8, 7 -> 9, 1 -> 3, 3 -> 1") {
graphData.addEdge(1, 8)
graphData.addEdge(7, 9)
graphData.addEdge(1, 3)
graphData.addEdge(3, 1)
}
Then("adjacent of 1 should equal listOf(3, 7, 8)") {
graphData.adjacent(1).sorted() `should equal` listOf(3, 7, 8)
}
Then("adjacent of 7 should equal listOf(9)") {
graphData.adjacent(7) `should equal` listOf(9)
}
Then("adjacent of 3 should equal listOf(1)") {
graphData.adjacent(3) `should equal` listOf(1)
}
Then("edgeNumber should be equal to 5") {
graphData.edgeNumber() `should be equal to` 5
}
Then("vertexNumber should be equal to 10") {
graphData.vertexNumber() `should be equal to` 10
}
}
}
})

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@ -0,0 +1,79 @@
/*
* 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.data
import org.amshove.kluent.`should be equal to`
import org.amshove.kluent.`should contain`
import org.amshove.kluent.`should equal`
import org.spekframework.spek2.Spek
import org.spekframework.spek2.style.gherkin.Feature
object AdjacentMatrixTest : Spek({
Feature("adjacent matrix graph data") {
val graphData by memoized { AdjacentMatrix(10) }
Scenario("add edges") {
When("add edge 1 -> 7") {
graphData.addEdge(1, 7)
}
Then("adjacent of 1 should contains 7") {
graphData.adjacent(1) `should contain` 7
}
Then("adjacent of 7 should be empty") {
graphData.adjacent(7).isEmpty() `should be equal to` true
}
Then("edgeNumber should be equal to 1") {
graphData.edgeNumber() `should be equal to` 1
}
When("add edge 1 -> 8, 7 -> 9, 1 -> 3, 3 -> 1") {
graphData.addEdge(1, 8)
graphData.addEdge(7, 9)
graphData.addEdge(1, 3)
graphData.addEdge(3, 1)
}
Then("adjacent of 1 should equal listOf(3, 7, 8)") {
graphData.adjacent(1) `should equal` listOf(3, 7, 8)
}
Then("adjacent of 7 should equal listOf(9)") {
graphData.adjacent(7) `should equal` listOf(9)
}
Then("adjacent of 3 should equal listOf(1)") {
graphData.adjacent(3) `should equal` listOf(1)
}
Then("edgeNumber should be equal to 5") {
graphData.edgeNumber() `should be equal to` 5
}
}
}
})

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@ -0,0 +1,124 @@
/*
* 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.DiGraph
import org.amshove.kluent.`should be equal to`
import org.amshove.kluent.`should equal`
import org.spekframework.spek2.Spek
import org.spekframework.spek2.style.gherkin.Feature
object DirectedCycleTest : Spek({
Feature("directed cycle") {
Scenario("try to find a cycle into DAG") {
val dag by memoized { DiGraph() }
Given("a directed acyclic graph") {
dag.addEdge(0, 1)
dag.addEdge(0, 6)
dag.addEdge(1, 2)
dag.addEdge(2, 3)
dag.addEdge(3, 4)
dag.addEdge(5, 4)
dag.addEdge(5, 6)
}
lateinit var directedCycleResult: DirectedCycle
When("try to find a cycle") {
directedCycleResult = DirectedCycle(dag)
}
Then("has cycle should be false") {
directedCycleResult.hasCycle() `should be equal to` false
}
Then("cycle should be null") {
directedCycleResult.cycle `should equal` null
}
}
Scenario("try to find a cycle into cyclic graph") {
val cyclicGraph by memoized { DiGraph() }
Given("a cyclic graph") {
cyclicGraph.addEdge(0, 1)
cyclicGraph.addEdge(0, 6)
cyclicGraph.addEdge(1, 2)
cyclicGraph.addEdge(2, 3)
cyclicGraph.addEdge(3, 4)
cyclicGraph.addEdge(3, 5)
cyclicGraph.addEdge(5, 0)
cyclicGraph.addEdge(5, 4)
cyclicGraph.addEdge(5, 6)
}
lateinit var directedCycleResult: DirectedCycle
When("try to find a cycle") {
directedCycleResult = DirectedCycle(cyclicGraph)
}
Then("hasCycle should be true") {
directedCycleResult.hasCycle() `should be equal to` true
}
Then("cycle should equal listOf(5, 3, 2, 1, 0, 5)") {
directedCycleResult.cycle `should equal` listOf(5, 3, 2, 1, 0, 5)
}
}
Scenario("try to find a cycle into cyclic graph with cycle not on root") {
val cyclicGraph by memoized { DiGraph() }
Given("a cyclic graph") {
cyclicGraph.addEdge(0, 1)
cyclicGraph.addEdge(0, 3)
cyclicGraph.addEdge(1, 3)
cyclicGraph.addEdge(4, 0)
cyclicGraph.addEdge(4, 2)
cyclicGraph.addEdge(4, 5)
cyclicGraph.addEdge(4, 6)
cyclicGraph.addEdge(5, 7)
cyclicGraph.addEdge(7, 4)
}
lateinit var directedCycleResult: DirectedCycle
When("try to find a cycle") {
directedCycleResult = DirectedCycle(cyclicGraph)
}
Then("hasCycle should be true") {
directedCycleResult.hasCycle() `should be equal to` true
}
Then("cycle should equal listOf(7, 5, 4, 7)") {
directedCycleResult.cycle `should equal` listOf(7, 5, 4, 7)
}
}
}
})