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aliHafizjialiHafizji
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Adding tests and completed topological sort
1 parent 05b9ef2 commit 4a6bd11

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7 files changed

+518
-26
lines changed

7 files changed

+518
-26
lines changed

‎Topological Sort/Topological Sort.playground/Contents.swift

+1-2
Original file line numberDiff line numberDiff line change
@@ -23,6 +23,5 @@ graph.addEdge(fromNode: node11, toNode: node9)
2323
graph.addEdge(fromNode: node11, toNode: node10)
2424
graph.addEdge(fromNode: node8, toNode: node9)
2525

26-
print(graph.description, terminator: "")
2726

28-
graph.depthFirstSearch("5")
27+
graph.topologicalSort()

‎Topological Sort/Topological Sort.playground/Sources/Graph.swift

+59-24
Original file line numberDiff line numberDiff line change
@@ -1,18 +1,19 @@
1-
21
public class Graph: CustomStringConvertible {
32

4-
private var adjacencyLists: [String : [String]]
5-
3+
public typealias Node = String
4+
5+
private var adjacencyLists: [Node : [Node]]
6+
67
public init() {
7-
adjacencyLists = [String : [String]]()
8+
adjacencyLists = [Node : [Node]]()
89
}
910

10-
public func addNode(value: String) -> String {
11+
public func addNode(value: Node) -> Node {
1112
adjacencyLists[value] = []
1213
return value
1314
}
1415

15-
public func addEdge(fromNode from: String, toNode to: String) -> Bool {
16+
public func addEdge(fromNode from: Node, toNode to: Node) -> Bool {
1617
adjacencyLists[from]?.append(to)
1718
return adjacencyLists[from] != nil ? true : false
1819
}
@@ -21,9 +22,9 @@ public class Graph: CustomStringConvertible {
2122
return adjacencyLists.description
2223
}
2324

24-
private func adjacencyList(forValue: String) -> [String]? {
25+
private func adjacencyList(forNode node: Node) -> [Node]? {
2526
for (key, adjacencyList) in adjacencyLists {
26-
if key == forValue {
27+
if key == node {
2728
return adjacencyList
2829
}
2930
}
@@ -32,25 +33,59 @@ public class Graph: CustomStringConvertible {
3233
}
3334

3435
extension Graph {
35-
36-
public func depthFirstSearch(source: String) -> [String] {
37-
var result = [String]()
38-
var stack = Stack<String>()
39-
40-
result.append(source)
41-
stack.push(source)
42-
43-
while !stack.isEmpty {
44-
if let element = stack.pop(), temp = adjacencyList(element) {
45-
for node in temp {
46-
stack.push(node)
47-
result.append(node)
36+
37+
typealias InDegree = Int
38+
private func calculateInDegreeOfNodes() -> [Node : InDegree] {
39+
40+
var inDegrees = [Node : InDegree]()
41+
42+
for (node, _) in adjacencyLists {
43+
inDegrees[node] = 0
44+
}
45+
46+
for (_, adjacencyList) in adjacencyLists {
47+
for nodeInList in adjacencyList {
48+
inDegrees[nodeInList] = (inDegrees[nodeInList] ?? 0) + 1
49+
}
50+
}
51+
return inDegrees
52+
}
53+
54+
private func depthFirstSearch(source: Node, inout visited: [Node : Bool]) -> [Node] {
55+
var result = [source]
56+
visited[source] = true
57+
58+
if let adjacencyList = adjacencyList(forNode: source) {
59+
for nodeInAdjacencyList in adjacencyList {
60+
if !(visited[nodeInAdjacencyList] ?? false) {
61+
result += (depthFirstSearch(nodeInAdjacencyList, visited: &visited))
4862
}
4963
}
5064
}
5165

5266
return result
5367
}
54-
}
55-
56-
68+
69+
public func topologicalSort() -> [Node] {
70+
71+
let startNodes = calculateInDegreeOfNodes().filter({(_, indegree) in
72+
return indegree == 0
73+
}).map({(node, indegree) in
74+
return node
75+
})
76+
77+
var visited = [Node : Bool]()
78+
79+
for (node, _) in adjacencyLists {
80+
visited[node] = false
81+
}
82+
83+
var result = [Node]()
84+
85+
for startNode in startNodes {
86+
result += depthFirstSearch(startNode, visited: &visited)
87+
}
88+
89+
return result
90+
}
91+
}

‎Topological Sort/TopologicalSort/TopologicalSort.xcodeproj/project.pbxproj

+260
Original file line numberDiff line numberDiff line change
@@ -0,0 +1,260 @@
1+
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2+
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58+
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