[cpp] Clean up graph implementations
This commit is contained in:
parent
6986c73651
commit
4b47630548
|
@ -1,8 +1,7 @@
|
||||||
/*##############################################################################
|
/*##############################################################################
|
||||||
## Author: Shaun Reed ##
|
## Author: Shaun Reed ##
|
||||||
## Legal: All Content (c) 2021 Shaun Reed, all rights reserved ##
|
## Legal: All Content (c) 2022 Shaun Reed, all rights reserved ##
|
||||||
## About: An example of an object graph implementation ##
|
## About: Driver program to test object graph implementation ##
|
||||||
## Algorithms in this example are found in MIT Intro to Algorithms ##
|
|
||||||
## ##
|
## ##
|
||||||
## Contact: shaunrd0@gmail.com | URL: www.shaunreed.com | GitHub: shaunrd0 ##
|
## Contact: shaunrd0@gmail.com | URL: www.shaunreed.com | GitHub: shaunrd0 ##
|
||||||
################################################################################
|
################################################################################
|
||||||
|
|
|
@ -1,7 +1,8 @@
|
||||||
/*##############################################################################
|
/*##############################################################################
|
||||||
## Author: Shaun Reed ##
|
## Author: Shaun Reed ##
|
||||||
## Legal: All Content (c) 2021 Shaun Reed, all rights reserved ##
|
## Legal: All Content (c) 2022 Shaun Reed, all rights reserved ##
|
||||||
## About: Driver program to test object graph implementation ##
|
## About: An example of an object graph implementation ##
|
||||||
|
## Algorithms in this example are found in MIT Intro to Algorithms ##
|
||||||
## ##
|
## ##
|
||||||
## Contact: shaunrd0@gmail.com | URL: www.shaunreed.com | GitHub: shaunrd0 ##
|
## Contact: shaunrd0@gmail.com | URL: www.shaunreed.com | GitHub: shaunrd0 ##
|
||||||
################################################################################
|
################################################################################
|
||||||
|
@ -183,4 +184,3 @@ std::vector<Node> Graph::TopologicalSort(const Node &startNode) const
|
||||||
// + Output is handled in main as FILO, similar to a stack
|
// + Output is handled in main as FILO, similar to a stack
|
||||||
return order;
|
return order;
|
||||||
}
|
}
|
||||||
|
|
||||||
|
|
|
@ -1,6 +1,6 @@
|
||||||
/*##############################################################################
|
/*##############################################################################
|
||||||
## Author: Shaun Reed ##
|
## Author: Shaun Reed ##
|
||||||
## Legal: All Content (c) 2021 Shaun Reed, all rights reserved ##
|
## Legal: All Content (c) 2022 Shaun Reed, all rights reserved ##
|
||||||
## About: An example of an object graph implementation ##
|
## About: An example of an object graph implementation ##
|
||||||
## Algorithms in this example are found in MIT Intro to Algorithms ##
|
## Algorithms in this example are found in MIT Intro to Algorithms ##
|
||||||
## ##
|
## ##
|
||||||
|
@ -10,51 +10,14 @@
|
||||||
#ifndef LIB_GRAPH_HPP
|
#ifndef LIB_GRAPH_HPP
|
||||||
#define LIB_GRAPH_HPP
|
#define LIB_GRAPH_HPP
|
||||||
|
|
||||||
#include <iostream>
|
|
||||||
#include <algorithm>
|
#include <algorithm>
|
||||||
|
#include <iostream>
|
||||||
#include <map>
|
#include <map>
|
||||||
|
#include <queue>
|
||||||
|
#include <unordered_map>
|
||||||
|
#include <unordered_set>
|
||||||
#include <utility>
|
#include <utility>
|
||||||
#include <vector>
|
#include <vector>
|
||||||
#include <queue>
|
|
||||||
#include <unordered_set>
|
|
||||||
#include <unordered_map>
|
|
||||||
|
|
||||||
|
|
||||||
/******************************************************************************/
|
|
||||||
// Structures for tracking information gathered from various traversals
|
|
||||||
struct Node;
|
|
||||||
// Color represents the discovery status of any given node
|
|
||||||
// + White is undiscovered, Gray is in progress, Black is fully discovered
|
|
||||||
enum Color {White, Gray, Black};
|
|
||||||
|
|
||||||
// Information used in all searches
|
|
||||||
struct SearchInfo {
|
|
||||||
// Coloring of the nodes is used in both DFS and BFS
|
|
||||||
Color discovered = White;
|
|
||||||
};
|
|
||||||
|
|
||||||
// Information that is only used in BFS
|
|
||||||
struct BFS : SearchInfo {
|
|
||||||
// Used to represent distance from start node
|
|
||||||
int distance = 0;
|
|
||||||
// Used to represent the parent node that discovered this node
|
|
||||||
// + If we use this node as the starting point, this will remain a nullptr
|
|
||||||
const Node *predecessor = nullptr;
|
|
||||||
};
|
|
||||||
|
|
||||||
// Information that is only used in DFS
|
|
||||||
struct DFS : SearchInfo {
|
|
||||||
// Create a pair to track discovery / finish time
|
|
||||||
// + Discovery time is the iteration the node is first discovered
|
|
||||||
// + Finish time is the iteration the node has been checked completely
|
|
||||||
// ++ A finished node has considered all adjacent nodes
|
|
||||||
std::pair<int, int> discoveryFinish;
|
|
||||||
};
|
|
||||||
|
|
||||||
// Store search information in unordered_maps so we can pass it around easily
|
|
||||||
// + Allows each node to store relative information on the traversal
|
|
||||||
using InfoBFS = std::unordered_map<int, struct BFS>;
|
|
||||||
using InfoDFS = std::unordered_map<int, struct DFS>;
|
|
||||||
|
|
||||||
|
|
||||||
/******************************************************************************/
|
/******************************************************************************/
|
||||||
|
@ -63,14 +26,16 @@ struct Node {
|
||||||
public:
|
public:
|
||||||
// Constructors
|
// Constructors
|
||||||
Node(const Node &rhs) = default;
|
Node(const Node &rhs) = default;
|
||||||
Node & operator=(Node rhs) {
|
Node & operator=(Node rhs)
|
||||||
|
{
|
||||||
if (this == &rhs) return *this;
|
if (this == &rhs) return *this;
|
||||||
swap(*this, rhs);
|
swap(*this, rhs);
|
||||||
return *this;
|
return *this;
|
||||||
}
|
}
|
||||||
Node(int num, std::vector<int> adj) : number(num), adjacent(std::move(adj)) {}
|
Node(int num, std::vector<int> adj) : number(num), adjacent(std::move(adj)) {}
|
||||||
|
|
||||||
friend void swap(Node &a, Node &b) {
|
friend void swap(Node &a, Node &b)
|
||||||
|
{
|
||||||
std::swap(a.number, b.number);
|
std::swap(a.number, b.number);
|
||||||
std::swap(a.adjacent, b.adjacent);
|
std::swap(a.adjacent, b.adjacent);
|
||||||
}
|
}
|
||||||
|
@ -85,8 +50,61 @@ public:
|
||||||
};
|
};
|
||||||
|
|
||||||
|
|
||||||
|
/******************************************************************************/
|
||||||
|
// Base struct for storing traversal information on all nodes
|
||||||
|
|
||||||
|
// Color represents the discovery status of any given node
|
||||||
|
enum Color {
|
||||||
|
// Node is marked as undiscovered
|
||||||
|
White,
|
||||||
|
// Node discovery is in progress; Some adjacent nodes have not been checked
|
||||||
|
Gray,
|
||||||
|
// Node has been discovered; All adjacent nodes have been checked
|
||||||
|
Black
|
||||||
|
};
|
||||||
|
|
||||||
|
// Information used in all searches
|
||||||
|
struct SearchInfo {
|
||||||
|
// Coloring of the nodes is used in both DFS and BFS
|
||||||
|
Color discovered = White;
|
||||||
|
};
|
||||||
|
|
||||||
|
|
||||||
|
/******************************************************************************/
|
||||||
|
// BFS search information struct
|
||||||
|
|
||||||
|
// Information that is only used in BFS
|
||||||
|
struct BFS : SearchInfo {
|
||||||
|
// Used to represent distance from start node
|
||||||
|
int distance = 0;
|
||||||
|
// Used to represent the parent node that discovered this node
|
||||||
|
// + If we use this node as the starting point, this will remain a nullptr
|
||||||
|
const Node *predecessor = nullptr;
|
||||||
|
};
|
||||||
|
|
||||||
|
// Store search information in unordered_maps so we can pass it around easily
|
||||||
|
// + Allows each node to store relative information on the traversal
|
||||||
|
using InfoBFS = std::unordered_map<int, struct BFS>;
|
||||||
|
|
||||||
|
|
||||||
|
/******************************************************************************/
|
||||||
|
// DFS search information struct
|
||||||
|
|
||||||
|
// Information that is only used in DFS
|
||||||
|
struct DFS : SearchInfo {
|
||||||
|
// Create a pair to track discovery / finish time
|
||||||
|
// + Discovery time is the iteration the node is first discovered
|
||||||
|
// + Finish time is the iteration the node has been checked completely
|
||||||
|
// ++ A finished node has considered all adjacent nodes
|
||||||
|
std::pair<int, int> discoveryFinish;
|
||||||
|
};
|
||||||
|
|
||||||
|
using InfoDFS = std::unordered_map<int, struct DFS>;
|
||||||
|
|
||||||
|
|
||||||
/******************************************************************************/
|
/******************************************************************************/
|
||||||
// Graph class declaration
|
// Graph class declaration
|
||||||
|
|
||||||
class Graph {
|
class Graph {
|
||||||
public:
|
public:
|
||||||
// Constructor
|
// Constructor
|
||||||
|
|
|
@ -1,6 +1,6 @@
|
||||||
/*##############################################################################
|
/*##############################################################################
|
||||||
## Author: Shaun Reed ##
|
## Author: Shaun Reed ##
|
||||||
## Legal: All Content (c) 2021 Shaun Reed, all rights reserved ##
|
## Legal: All Content (c) 2022 Shaun Reed, all rights reserved ##
|
||||||
## About: Driver program to test a simple graph implementation ##
|
## About: Driver program to test a simple graph implementation ##
|
||||||
## ##
|
## ##
|
||||||
## Contact: shaunrd0@gmail.com | URL: www.shaunreed.com | GitHub: shaunrd0 ##
|
## Contact: shaunrd0@gmail.com | URL: www.shaunreed.com | GitHub: shaunrd0 ##
|
||||||
|
|
|
@ -1,6 +1,6 @@
|
||||||
/*##############################################################################
|
/*##############################################################################
|
||||||
## Author: Shaun Reed ##
|
## Author: Shaun Reed ##
|
||||||
## Legal: All Content (c) 2021 Shaun Reed, all rights reserved ##
|
## Legal: All Content (c) 2022 Shaun Reed, all rights reserved ##
|
||||||
## About: An example of a simple graph implementation ##
|
## About: An example of a simple graph implementation ##
|
||||||
## Algorithms in this example are found in MIT Intro to Algorithms ##
|
## Algorithms in this example are found in MIT Intro to Algorithms ##
|
||||||
## ##
|
## ##
|
||||||
|
|
|
@ -1,6 +1,6 @@
|
||||||
/*#############################################################################
|
/*#############################################################################
|
||||||
## Author: Shaun Reed ##
|
## Author: Shaun Reed ##
|
||||||
## Legal: All Content (c) 2021 Shaun Reed, all rights reserved ##
|
## Legal: All Content (c) 2022 Shaun Reed, all rights reserved ##
|
||||||
## About: An example of a simple graph implementation ##
|
## About: An example of a simple graph implementation ##
|
||||||
## Algorithms in this example are found in MIT Intro to Algorithms ##
|
## Algorithms in this example are found in MIT Intro to Algorithms ##
|
||||||
## ##
|
## ##
|
||||||
|
@ -12,9 +12,9 @@
|
||||||
|
|
||||||
#include <iostream>
|
#include <iostream>
|
||||||
#include <queue>
|
#include <queue>
|
||||||
#include <vector>
|
|
||||||
#include <unordered_map>
|
#include <unordered_map>
|
||||||
#include <unordered_set>
|
#include <unordered_set>
|
||||||
|
#include <vector>
|
||||||
|
|
||||||
|
|
||||||
class Graph {
|
class Graph {
|
||||||
|
|
|
@ -1,7 +1,7 @@
|
||||||
/*##############################################################################
|
/*##############################################################################
|
||||||
## Author: Shaun Reed ##
|
## Author: Shaun Reed ##
|
||||||
## Legal: All Content (c) 2021 Shaun Reed, all rights reserved ##
|
## Legal: All Content (c) 2022 Shaun Reed, all rights reserved ##
|
||||||
## About: An example of a weighted graph implementation ##
|
## About: Driver program to test templated object graph implementation ##
|
||||||
## Algorithms in this example are found in MIT Intro to Algorithms ##
|
## Algorithms in this example are found in MIT Intro to Algorithms ##
|
||||||
## ##
|
## ##
|
||||||
## Contact: shaunrd0@gmail.com | URL: www.shaunreed.com | GitHub: shaunrd0 ##
|
## Contact: shaunrd0@gmail.com | URL: www.shaunreed.com | GitHub: shaunrd0 ##
|
||||||
|
|
|
@ -1,7 +1,7 @@
|
||||||
/*##############################################################################
|
/*##############################################################################
|
||||||
## Author: Shaun Reed ##
|
## Author: Shaun Reed ##
|
||||||
## Legal: All Content (c) 2021 Shaun Reed, all rights reserved ##
|
## Legal: All Content (c) 2022 Shaun Reed, all rights reserved ##
|
||||||
## About: An example of an object graph implementation ##
|
## About: An example of a templated object graph implementation ##
|
||||||
## Algorithms in this example are found in MIT Intro to Algorithms ##
|
## Algorithms in this example are found in MIT Intro to Algorithms ##
|
||||||
## ##
|
## ##
|
||||||
## Contact: shaunrd0@gmail.com | URL: www.shaunreed.com | GitHub: shaunrd0 ##
|
## Contact: shaunrd0@gmail.com | URL: www.shaunreed.com | GitHub: shaunrd0 ##
|
||||||
|
@ -10,24 +10,74 @@
|
||||||
#ifndef LIB_GRAPH_HPP
|
#ifndef LIB_GRAPH_HPP
|
||||||
#define LIB_GRAPH_HPP
|
#define LIB_GRAPH_HPP
|
||||||
|
|
||||||
#include <iostream>
|
|
||||||
#include <algorithm>
|
#include <algorithm>
|
||||||
|
#include <iostream>
|
||||||
#include <map>
|
#include <map>
|
||||||
|
#include <queue>
|
||||||
|
#include <unordered_map>
|
||||||
|
#include <unordered_set>
|
||||||
#include <utility>
|
#include <utility>
|
||||||
#include <vector>
|
#include <vector>
|
||||||
#include <queue>
|
|
||||||
#include <unordered_set>
|
|
||||||
#include <unordered_map>
|
/******************************************************************************/
|
||||||
|
// Node structure for representing a graph
|
||||||
|
|
||||||
|
template <typename T>
|
||||||
|
struct Node {
|
||||||
|
public:
|
||||||
|
template <typename> friend class Graph;
|
||||||
|
template <typename> friend class InfoMST;
|
||||||
|
|
||||||
|
// Constructors
|
||||||
|
Node(const Node &rhs) = default;
|
||||||
|
Node & operator=(Node rhs)
|
||||||
|
{
|
||||||
|
if (this == &rhs) return *this;
|
||||||
|
swap(*this, rhs);
|
||||||
|
return *this;
|
||||||
|
}
|
||||||
|
Node(T data, const std::vector<std::pair<T, int>> &adj) : data_(data)
|
||||||
|
{
|
||||||
|
// Place each adjacent node in vector into our unordered_map of edges
|
||||||
|
for (const auto &i : adj) adjacent_.emplace(i.first, i.second);
|
||||||
|
}
|
||||||
|
|
||||||
|
friend void swap(Node &a, Node &b)
|
||||||
|
{
|
||||||
|
std::swap(a.data_, b.data_);
|
||||||
|
std::swap(a.adjacent_, b.adjacent_);
|
||||||
|
}
|
||||||
|
|
||||||
|
// Operators
|
||||||
|
// Define operator== for std::find; And comparisons between nodes
|
||||||
|
bool operator==(const Node<T> &b) const { return this->data_ == b.data_;}
|
||||||
|
// Define an operator!= for comparing nodes for inequality
|
||||||
|
bool operator!=(const Node<T> &b) const { return this->data_ != b.data_;}
|
||||||
|
|
||||||
|
// Accessors
|
||||||
|
inline T GetData() const { return data_;}
|
||||||
|
inline std::unordered_map<int, int> GetAdjacent() const { return adjacent_;}
|
||||||
|
|
||||||
|
private:
|
||||||
|
T data_;
|
||||||
|
// Adjacent stored in an unordered_map<adj.number, edgeWeight>
|
||||||
|
std::unordered_map<T, int> adjacent_;
|
||||||
|
};
|
||||||
|
|
||||||
|
|
||||||
/******************************************************************************/
|
/******************************************************************************/
|
||||||
// Base struct for storing traversal information on all nodes
|
// Base struct for storing traversal information on all nodes
|
||||||
|
|
||||||
template <typename T> struct Node;
|
|
||||||
|
|
||||||
// Color represents the discovery status of any given node
|
// Color represents the discovery status of any given node
|
||||||
// + White is undiscovered, Gray is in progress, Black is fully discovered
|
enum Color {
|
||||||
enum Color {White, Gray, Black};
|
// Node is marked as undiscovered
|
||||||
|
White,
|
||||||
|
// Node discovery is in progress; Some adjacent nodes have not been checked
|
||||||
|
Gray,
|
||||||
|
// Node has been discovered; All adjacent nodes have been checked
|
||||||
|
Black
|
||||||
|
};
|
||||||
|
|
||||||
// Information used in all searches
|
// Information used in all searches
|
||||||
struct SearchInfo {
|
struct SearchInfo {
|
||||||
|
@ -37,7 +87,7 @@ struct SearchInfo {
|
||||||
|
|
||||||
|
|
||||||
/******************************************************************************/
|
/******************************************************************************/
|
||||||
// BFS search information structs
|
// BFS search information struct
|
||||||
|
|
||||||
// Information that is only used in BFS
|
// Information that is only used in BFS
|
||||||
template <typename T>
|
template <typename T>
|
||||||
|
@ -49,9 +99,13 @@ struct BFS : SearchInfo {
|
||||||
const Node<T> *predecessor = nullptr;
|
const Node<T> *predecessor = nullptr;
|
||||||
};
|
};
|
||||||
|
|
||||||
|
// Store search information in unordered_maps so we can pass it around easily
|
||||||
|
// + Allows each node to store relative information on the traversal
|
||||||
|
template <typename T> using InfoBFS = std::unordered_map<T, struct BFS<T>>;
|
||||||
|
|
||||||
|
|
||||||
/******************************************************************************/
|
/******************************************************************************/
|
||||||
// DFS search information structs
|
// DFS search information struct
|
||||||
|
|
||||||
// Information that is only used in DFS
|
// Information that is only used in DFS
|
||||||
struct DFS : SearchInfo {
|
struct DFS : SearchInfo {
|
||||||
|
@ -62,21 +116,15 @@ struct DFS : SearchInfo {
|
||||||
std::pair<int, int> discoveryFinish;
|
std::pair<int, int> discoveryFinish;
|
||||||
};
|
};
|
||||||
|
|
||||||
|
template <typename T> using InfoDFS = std::unordered_map<T, struct DFS>;
|
||||||
|
|
||||||
|
|
||||||
/******************************************************************************/
|
/******************************************************************************/
|
||||||
// Alias types for storing search information structures
|
// MST search information struct
|
||||||
|
|
||||||
// Store search information in unordered_maps so we can pass it around easily
|
|
||||||
// + Allows each node to store relative information on the traversal
|
|
||||||
template <typename T> using InfoBFS = std::unordered_map<T, struct BFS<T>>;
|
|
||||||
template <typename T> using InfoDFS = std::unordered_map<T, struct DFS>;
|
|
||||||
// Edges stored as multimap<weight, pair<nodeA.data_, nodeB.data_>>
|
// Edges stored as multimap<weight, pair<nodeA.data_, nodeB.data_>>
|
||||||
template <typename T> using Edges = std::multimap<int, std::pair<T, T>>;
|
template <typename T> using Edges = std::multimap<int, std::pair<T, T>>;
|
||||||
|
|
||||||
|
|
||||||
/******************************************************************************/
|
|
||||||
// MST search information structs
|
|
||||||
|
|
||||||
struct MST : SearchInfo {
|
struct MST : SearchInfo {
|
||||||
int32_t parent = INT32_MIN;
|
int32_t parent = INT32_MIN;
|
||||||
int rank = 0;
|
int rank = 0;
|
||||||
|
@ -86,8 +134,9 @@ template <typename T>
|
||||||
struct InfoMST {
|
struct InfoMST {
|
||||||
template <typename> friend class Graph;
|
template <typename> friend class Graph;
|
||||||
|
|
||||||
explicit InfoMST(const std::vector<Node<T>> &nodes) {
|
explicit InfoMST(const std::vector<Node<T>> &nodes)
|
||||||
for (const auto &node : nodes){
|
{
|
||||||
|
for (const auto &node : nodes) {
|
||||||
// Initialize the default values for forest tracked by this struct
|
// Initialize the default values for forest tracked by this struct
|
||||||
// + This data is used in KruskalMST() to find the MST
|
// + This data is used in KruskalMST() to find the MST
|
||||||
MakeSet(node.data_);
|
MakeSet(node.data_);
|
||||||
|
@ -157,51 +206,6 @@ private:
|
||||||
};
|
};
|
||||||
|
|
||||||
|
|
||||||
/******************************************************************************/
|
|
||||||
// Node structure for representing a graph
|
|
||||||
|
|
||||||
template <typename T>
|
|
||||||
struct Node {
|
|
||||||
public:
|
|
||||||
template <typename> friend class Graph;
|
|
||||||
template <typename> friend class InfoMST;
|
|
||||||
|
|
||||||
// Constructors
|
|
||||||
Node(const Node &rhs) = default;
|
|
||||||
Node & operator=(Node rhs) {
|
|
||||||
if (this == &rhs) return *this;
|
|
||||||
swap(*this, rhs);
|
|
||||||
return *this;
|
|
||||||
}
|
|
||||||
Node(T data, const std::vector<std::pair<T, int>> &adj)
|
|
||||||
: data_(data)
|
|
||||||
{
|
|
||||||
// Place each adjacent node in vector into our unordered_map of edges
|
|
||||||
for (const auto &i : adj) adjacent_.emplace(i.first, i.second);
|
|
||||||
}
|
|
||||||
|
|
||||||
friend void swap(Node &a, Node &b) {
|
|
||||||
std::swap(a.data_, b.data_);
|
|
||||||
std::swap(a.adjacent_, b.adjacent_);
|
|
||||||
}
|
|
||||||
|
|
||||||
// Operators
|
|
||||||
// Define operator== for std::find; And comparisons between nodes
|
|
||||||
bool operator==(const Node<T> &b) const { return this->data_ == b.data_;}
|
|
||||||
// Define an operator!= for comparing nodes for inequality
|
|
||||||
bool operator!=(const Node<T> &b) const { return this->data_ != b.data_;}
|
|
||||||
|
|
||||||
// Accessors
|
|
||||||
inline T GetData() const { return data_;}
|
|
||||||
inline std::unordered_map<int, int> GetAdjacent() const { return adjacent_;}
|
|
||||||
|
|
||||||
private:
|
|
||||||
T data_;
|
|
||||||
// Adjacent stored in an unordered_map<adj.number, edgeWeight>
|
|
||||||
std::unordered_map<T, int> adjacent_;
|
|
||||||
};
|
|
||||||
|
|
||||||
|
|
||||||
/******************************************************************************/
|
/******************************************************************************/
|
||||||
// Templated graph class
|
// Templated graph class
|
||||||
|
|
||||||
|
@ -209,7 +213,7 @@ template <class T>
|
||||||
class Graph {
|
class Graph {
|
||||||
public:
|
public:
|
||||||
// Constructor
|
// Constructor
|
||||||
Graph(std::vector<Node<T>> nodes) : nodes_(std::move(nodes)) {}
|
explicit Graph(std::vector<Node<T>> nodes) : nodes_(std::move(nodes)) {}
|
||||||
|
|
||||||
// Breadth First Search
|
// Breadth First Search
|
||||||
InfoBFS<T> BFS(const Node<T>& startNode) const;
|
InfoBFS<T> BFS(const Node<T>& startNode) const;
|
||||||
|
|
|
@ -1,8 +1,7 @@
|
||||||
/*##############################################################################
|
/*##############################################################################
|
||||||
## Author: Shaun Reed ##
|
## Author: Shaun Reed ##
|
||||||
## Legal: All Content (c) 2021 Shaun Reed, all rights reserved ##
|
## Legal: All Content (c) 2022 Shaun Reed, all rights reserved ##
|
||||||
## About: An example of a weighted graph implementation ##
|
## About: Driver program to test weighted graph implementation ##
|
||||||
## Algorithms in this example are found in MIT Intro to Algorithms ##
|
|
||||||
## ##
|
## ##
|
||||||
## Contact: shaunrd0@gmail.com | URL: www.shaunreed.com | GitHub: shaunrd0 ##
|
## Contact: shaunrd0@gmail.com | URL: www.shaunreed.com | GitHub: shaunrd0 ##
|
||||||
################################################################################
|
################################################################################
|
||||||
|
@ -105,7 +104,7 @@ int main (const int argc, const char * argv[])
|
||||||
// + Chapter 22, Figure 22.4 on DFS
|
// + Chapter 22, Figure 22.4 on DFS
|
||||||
// Unlike the simple-graph example, this final result matches MIT Algorithms
|
// Unlike the simple-graph example, this final result matches MIT Algorithms
|
||||||
// + Aside from the placement of the watch node, which is not connected
|
// + Aside from the placement of the watch node, which is not connected
|
||||||
// + This is because the node is visited after all other nodes are finished
|
// + This is because the node is visited after all other nodes are finished
|
||||||
std::vector<Node> order =
|
std::vector<Node> order =
|
||||||
topologicalGraph.TopologicalSort(topologicalGraph.GetNodeCopy(6));
|
topologicalGraph.TopologicalSort(topologicalGraph.GetNodeCopy(6));
|
||||||
std::cout << "\nTopological order: ";
|
std::cout << "\nTopological order: ";
|
||||||
|
|
|
@ -1,7 +1,8 @@
|
||||||
/*##############################################################################
|
/*##############################################################################
|
||||||
## Author: Shaun Reed ##
|
## Author: Shaun Reed ##
|
||||||
## Legal: All Content (c) 2021 Shaun Reed, all rights reserved ##
|
## Legal: All Content (c) 2022 Shaun Reed, all rights reserved ##
|
||||||
## About: Driver program to test object graph implementation ##
|
## About: An example of a weighted graph implementation ##
|
||||||
|
## Algorithms in this example are found in MIT Intro to Algorithms ##
|
||||||
## ##
|
## ##
|
||||||
## Contact: shaunrd0@gmail.com | URL: www.shaunreed.com | GitHub: shaunrd0 ##
|
## Contact: shaunrd0@gmail.com | URL: www.shaunreed.com | GitHub: shaunrd0 ##
|
||||||
################################################################################
|
################################################################################
|
||||||
|
@ -212,4 +213,3 @@ InfoMST Graph::KruskalMST() const
|
||||||
|
|
||||||
return searchInfo;
|
return searchInfo;
|
||||||
}
|
}
|
||||||
|
|
||||||
|
|
|
@ -1,7 +1,7 @@
|
||||||
/*##############################################################################
|
/*##############################################################################
|
||||||
## Author: Shaun Reed ##
|
## Author: Shaun Reed ##
|
||||||
## Legal: All Content (c) 2021 Shaun Reed, all rights reserved ##
|
## Legal: All Content (c) 2022 Shaun Reed, all rights reserved ##
|
||||||
## About: An example of an object graph implementation ##
|
## About: An example of a weighted graph implementation ##
|
||||||
## Algorithms in this example are found in MIT Intro to Algorithms ##
|
## Algorithms in this example are found in MIT Intro to Algorithms ##
|
||||||
## ##
|
## ##
|
||||||
## Contact: shaunrd0@gmail.com | URL: www.shaunreed.com | GitHub: shaunrd0 ##
|
## Contact: shaunrd0@gmail.com | URL: www.shaunreed.com | GitHub: shaunrd0 ##
|
||||||
|
@ -10,56 +10,14 @@
|
||||||
#ifndef LIB_GRAPH_HPP
|
#ifndef LIB_GRAPH_HPP
|
||||||
#define LIB_GRAPH_HPP
|
#define LIB_GRAPH_HPP
|
||||||
|
|
||||||
#include <iostream>
|
|
||||||
#include <algorithm>
|
#include <algorithm>
|
||||||
|
#include <iostream>
|
||||||
#include <map>
|
#include <map>
|
||||||
|
#include <queue>
|
||||||
|
#include <unordered_map>
|
||||||
|
#include <unordered_set>
|
||||||
#include <utility>
|
#include <utility>
|
||||||
#include <vector>
|
#include <vector>
|
||||||
#include <queue>
|
|
||||||
#include <unordered_set>
|
|
||||||
#include <unordered_map>
|
|
||||||
|
|
||||||
|
|
||||||
/******************************************************************************/
|
|
||||||
// Structures for tracking information gathered from various traversals
|
|
||||||
struct Node;
|
|
||||||
// Color represents the discovery status of any given node
|
|
||||||
// + White is undiscovered, Gray is in progress, Black is fully discovered
|
|
||||||
enum Color {White, Gray, Black};
|
|
||||||
|
|
||||||
// Information used in all searches
|
|
||||||
struct SearchInfo {
|
|
||||||
// Coloring of the nodes is used in both DFS and BFS
|
|
||||||
Color discovered = White;
|
|
||||||
};
|
|
||||||
|
|
||||||
// Information that is only used in BFS
|
|
||||||
struct BFS : SearchInfo {
|
|
||||||
// Used to represent distance from start node
|
|
||||||
int distance = 0;
|
|
||||||
// Used to represent the parent node that discovered this node
|
|
||||||
// + If we use this node as the starting point, this will remain a nullptr
|
|
||||||
const Node *predecessor = nullptr;
|
|
||||||
};
|
|
||||||
|
|
||||||
// Information that is only used in DFS
|
|
||||||
struct DFS : SearchInfo {
|
|
||||||
// Create a pair to track discovery / finish time
|
|
||||||
// + Discovery time is the iteration the node is first discovered
|
|
||||||
// + Finish time is the iteration the node has been checked completely
|
|
||||||
// ++ A finished node has considered all adjacent nodes
|
|
||||||
std::pair<int, int> discoveryFinish;
|
|
||||||
};
|
|
||||||
|
|
||||||
struct MST : SearchInfo {
|
|
||||||
int32_t parent = INT32_MIN;
|
|
||||||
int rank = 0;
|
|
||||||
};
|
|
||||||
|
|
||||||
// Store search information in unordered_maps so we can pass it around easily
|
|
||||||
// + Allows each node to store relative information on the traversal
|
|
||||||
using InfoBFS = std::unordered_map<int, struct BFS>;
|
|
||||||
using InfoDFS = std::unordered_map<int, struct DFS>;
|
|
||||||
|
|
||||||
|
|
||||||
/******************************************************************************/
|
/******************************************************************************/
|
||||||
|
@ -69,7 +27,8 @@ struct Node {
|
||||||
public:
|
public:
|
||||||
// Constructors
|
// Constructors
|
||||||
Node(const Node &rhs) = default;
|
Node(const Node &rhs) = default;
|
||||||
Node & operator=(Node rhs) {
|
Node & operator=(Node rhs)
|
||||||
|
{
|
||||||
if (this == &rhs) return *this;
|
if (this == &rhs) return *this;
|
||||||
swap(*this, rhs);
|
swap(*this, rhs);
|
||||||
return *this;
|
return *this;
|
||||||
|
@ -80,7 +39,8 @@ public:
|
||||||
for (const auto &i : adj) adjacent.emplace(i.first, i.second);
|
for (const auto &i : adj) adjacent.emplace(i.first, i.second);
|
||||||
}
|
}
|
||||||
|
|
||||||
friend void swap(Node &a, Node &b) {
|
friend void swap(Node &a, Node &b)
|
||||||
|
{
|
||||||
std::swap(a.number, b.number);
|
std::swap(a.number, b.number);
|
||||||
std::swap(a.adjacent, b.adjacent);
|
std::swap(a.adjacent, b.adjacent);
|
||||||
}
|
}
|
||||||
|
@ -95,10 +55,71 @@ public:
|
||||||
bool operator!=(const Node &b) const { return this->number != b.number;}
|
bool operator!=(const Node &b) const { return this->number != b.number;}
|
||||||
};
|
};
|
||||||
|
|
||||||
|
|
||||||
|
/******************************************************************************/
|
||||||
|
// Base struct for storing traversal information on all nodes
|
||||||
|
|
||||||
|
// Color represents the discovery status of any given node
|
||||||
|
enum Color {
|
||||||
|
// Node is marked as undiscovered
|
||||||
|
White,
|
||||||
|
// Node discovery is in progress; Some adjacent nodes have not been checked
|
||||||
|
Gray,
|
||||||
|
// Node has been discovered; All adjacent nodes have been checked
|
||||||
|
Black
|
||||||
|
};
|
||||||
|
|
||||||
|
// Information used in all searches
|
||||||
|
struct SearchInfo {
|
||||||
|
// Coloring of the nodes is used in both DFS and BFS
|
||||||
|
Color discovered = White;
|
||||||
|
};
|
||||||
|
|
||||||
|
|
||||||
|
/******************************************************************************/
|
||||||
|
// BFS search information struct
|
||||||
|
|
||||||
|
// Information that is only used in BFS
|
||||||
|
struct BFS : SearchInfo {
|
||||||
|
// Used to represent distance from start node
|
||||||
|
int distance = 0;
|
||||||
|
// Used to represent the parent node that discovered this node
|
||||||
|
// + If we use this node as the starting point, this will remain a nullptr
|
||||||
|
const Node *predecessor = nullptr;
|
||||||
|
};
|
||||||
|
|
||||||
|
// Store search information in unordered_maps so we can pass it around easily
|
||||||
|
// + Allows each node to store relative information on the traversal
|
||||||
|
using InfoBFS = std::unordered_map<int, struct BFS>;
|
||||||
|
|
||||||
|
|
||||||
|
/******************************************************************************/
|
||||||
|
// DFS search information struct
|
||||||
|
|
||||||
|
// Information that is only used in DFS
|
||||||
|
struct DFS : SearchInfo {
|
||||||
|
// Create a pair to track discovery / finish time
|
||||||
|
// + Discovery time is the iteration the node is first discovered
|
||||||
|
// + Finish time is the iteration the node has been checked completely
|
||||||
|
// ++ A finished node has considered all adjacent nodes
|
||||||
|
std::pair<int, int> discoveryFinish;
|
||||||
|
};
|
||||||
|
|
||||||
|
|
||||||
|
/******************************************************************************/
|
||||||
|
// MST search information struct
|
||||||
|
|
||||||
|
struct MST : SearchInfo {
|
||||||
|
int32_t parent = INT32_MIN;
|
||||||
|
int rank = 0;
|
||||||
|
};
|
||||||
|
using InfoDFS = std::unordered_map<int, struct DFS>;
|
||||||
|
|
||||||
using Edges = std::multimap<int, std::pair<int, int>>;
|
using Edges = std::multimap<int, std::pair<int, int>>;
|
||||||
struct InfoMST {
|
struct InfoMST {
|
||||||
explicit InfoMST(const std::vector<Node> &nodes) {
|
explicit InfoMST(const std::vector<Node> &nodes)
|
||||||
for (const auto &node : nodes){
|
{
|
||||||
|
for (const auto &node : nodes) {
|
||||||
// Initialize the default values for forest tracked by this struct
|
// Initialize the default values for forest tracked by this struct
|
||||||
// + This data is used in KruskalMST() to find the MST
|
// + This data is used in KruskalMST() to find the MST
|
||||||
MakeSet(node.number);
|
MakeSet(node.number);
|
||||||
|
@ -154,11 +175,12 @@ struct InfoMST {
|
||||||
}
|
}
|
||||||
return searchInfo[x].parent;
|
return searchInfo[x].parent;
|
||||||
}
|
}
|
||||||
|
|
||||||
};
|
};
|
||||||
|
|
||||||
|
|
||||||
/******************************************************************************/
|
/******************************************************************************/
|
||||||
// Graph class declaration
|
// Graph class declaration
|
||||||
|
|
||||||
class Graph {
|
class Graph {
|
||||||
public:
|
public:
|
||||||
// Constructor
|
// Constructor
|
||||||
|
|
Loading…
Reference in New Issue