{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "ExecuteTime": { "end_time": "2018-03-25T21:57:06.384491Z", "start_time": "2018-03-25T21:57:04.938533Z" } }, "outputs": [], "source": [ "import numpy as np\n", "import pandas as pd\n", "import PythonTools as PT\n", "from matplotlib import pyplot as plt\n", "import collections as CS\n", "import os\n", "import warnings\n", "warnings.filterwarnings('ignore')\n", "\n", "%load_ext autoreload\n", "%autoreload 2\n", "\n", "%matplotlib inline\n", "PT.plot_settings()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Simple Implementation of Dijkstra Algorithm" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Dijkstra algorithm" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "ExecuteTime": { "end_time": "2018-03-25T21:57:06.969880Z", "start_time": "2018-03-25T21:57:06.386494Z" }, "collapsed": true }, "outputs": [], "source": [ "from __future__ import absolute_import, division, print_function\n", "import collections as CS\n", "\n", "__author__ = 'Mosatafa Hadavand'\n", "__date__ = 'April 2017'\n", "__version__ = '1.000'\n", "\n", "\n", "class Dijkstra:\n", "\n", " '''\n", " This is a class to implement dijkstra algorithm \n", " '''\n", " \n", " def __init__(self):\n", " self.Nodes = set()\n", " self.Edges = CS.defaultdict(list)\n", " self.Distances = {}\n", "\n", " def add_node(self, value):\n", " self.Nodes.add(value)\n", "\n", " def add_edge(self, From, To, distance):\n", " self.Edges[From].append(To)\n", " self.Edges[To].append(From)\n", " self.Distances[(From, To)] = distance\n", " self.Distances[(To,From)] = distance\n", "\n", "\n", " def find_path(self,initial):\n", "\n", " visited = {initial: 0}\n", " path = {}\n", " Path_All=CS.defaultdict(list)\n", " Path_All[initial].append(initial)\n", "\n", "\n", " # Sort unvisted Nodes (initially all the nodes are unvisited)\n", " #------------------------------------------------------------\n", " unvisited = set(self.Nodes)\n", "\n", " while unvisited:\n", "\n", " min_node = None\n", " # Identifying the node with minmum distance in current loop\n", " for node in unvisited:\n", " if node in visited:\n", " if min_node is None:\n", " min_node = node\n", " elif visited[node] < visited[min_node]:\n", " min_node = node\n", "\n", " if min_node is None:\n", " break\n", "\n", " unvisited.remove(min_node)\n", " Current_Dist = visited[min_node]\n", "\n", " # Calculating the distance for each unvisted node or replace \n", " # the visited node distance if a shorter distance is found\n", " for edge in self.Edges[min_node]:\n", " weight = Current_Dist + self.Distances[(min_node, edge)]\n", " if edge not in visited or weight < visited[edge]:\n", " visited[edge] = weight\n", " path[edge] = min_node\n", "\n", " \n", "\n", " for node in path:\n", " Path_All[node].append(node)\n", " Connection=path[node]\n", " Path_All[node].append(Connection)\n", " while Connection is not initial:\n", " Connection=path[Connection]\n", " Path_All[node].append(Connection)\n", "\n", " self.Path_All=Path_All\n", "\n", " return visited, path, Path_All\n", "\n", "\n", " def path_plot(self, Nodes_All, Node, Path_All=None, figsize=(10,10), Offset=[8,8], Grid=True,\n", " Xlabel='X (m)', Ylabel='Y(m)', lw=3, Arrow_width=20,Arrow_length=10,\n", " ax=None):\n", " \n", " '''\n", " A post-processing function to plot the results of dijkstra algorithm\n", " \n", " Parameters:\n", " Nodes_All (defaultdict with list arguments): Contains each point lable and the corresponding\n", " Node (str): The node from which the shortest path is considered to the target node\n", " \n", " X and Y Coordinates\n", " figsize (tuple): Figure size (width, height)\n", " ax (mpl.axis): Existing matplotlib axis to plot the figure onto\n", " Offset (list): Offset to plot name of each node\n", " Path_All (defaultdict with list arguments): Report of the shortest path for each point\n", " Grid (bool): Add grid to the plot\n", " lw(float): line width for the plot\n", "\n", " '''\n", " \n", " import matplotlib.pyplot as plt\n", " \n", "\n", " if Path_All is None:\n", " Path_All=self.Path_All\n", " \n", " for i, node in enumerate(Nodes_All):\n", " if node not in Path_All:\n", " string='The node %s is in the original list but not in the dijkstra path!'%node\n", " raise ValueError(string)\n", " \n", " if Node not in Path_All:\n", " raise ValueError('The specified Node is not in the provide dijkstra path dictionary!')\n", " \n", " if ax is None:\n", " fig, ax = plt.subplots(1, figsize=figsize) \n", " \n", " \n", " if (len(Path_All[Node])>1):\n", " for i in range (len(Path_All[Node])-1):\n", " node1=Path_All[Node][i]\n", " node2=Path_All[Node][i+1]\n", " ax.plot([Nodes_All[node1][0],Nodes_All[node2][0]],\n", " [Nodes_All[node1][1],Nodes_All[node2][1]],c='k',lw=lw)\n", " dx=Nodes_All[node2][0]-Nodes_All[node1][0]\n", " dy=Nodes_All[node2][1]-Nodes_All[node1][1]\n", " ax.arrow(Nodes_All[node1][0]+dx/2, Nodes_All[node1][1]+dy/2, dx*0.01, dy*0.01, head_width=Arrow_width, fc='k', ec='k',\n", " head_length=Arrow_length, shape='full', lw=1, length_includes_head=True)\n", "\n", " for i, node in enumerate(Nodes_All):\n", " ax.scatter(Nodes_All[node][0],Nodes_All[node][1], s=300,c='r',edgecolor='k')\n", " ax.annotate(node, xy=(Nodes_All[node][0]+Offset[0], Nodes_All[node][1]+Offset[1]),color='b')\n", "\n", " if Grid:\n", " ax.grid(axis='both')\n", " ax.set_xlabel(Xlabel)\n", " ax.set_ylabel(Ylabel) \n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Generating random nodes and edges (an example network)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "ExecuteTime": { "end_time": "2018-03-25T21:57:07.153001Z", "start_time": "2018-03-25T21:57:06.971882Z" } }, "outputs": [], "source": [ "List_Nodes=['A','B','C','D','E','F','G','H','I','J','K','L','M','N']\n", "\n", "# Option 1: Random Node locations\n", "np.random.seed(69079)\n", "X_Coord=np.random.randint(-500,500,len(List_Nodes))\n", "Y_Coord=np.random.randint(-900,500,len(List_Nodes))\n", "\n", "# Random Connection between nodes\n", "Connection=len(List_Nodes)\n", "Index=np.zeros((Connection,2))\n", "Index[:,1]=np.arange(0,Connection,1)\n", "Index[:,0]=np.random.random(Connection)\n", "DF=pd.DataFrame(data=Index,columns=['Random','Index'])\n", "DF.sort_values(by='Random',inplace=True)\n", "\n", "Nodes_All=CS.defaultdict(list)\n", "for i, node in enumerate(List_Nodes):\n", " Nodes_All[node].append(X_Coord[i]) # assign random X coordinate\n", " Nodes_All[node].append(Y_Coord[i]) # assign random Y coordinates" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "ExecuteTime": { "end_time": "2018-03-25T21:57:07.675348Z", "start_time": "2018-03-25T21:57:07.155005Z" } }, "outputs": [ { "data": { "text/plain": [ "Text(0,0.5,'Y(m)')" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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yRV/msGyRSqXC0tLSpM7l1atXAaibz6XadTqdkgjmJnH09PTkr7/+AvSzfd3c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\nllVb119Lly412rRpY5jNZmPgwIEK625k9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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig=plt.figure(figsize=(10,10))\n", "ax=fig.add_subplot(111)\n", "\n", "Offset=[8,8]\n", "for i, node in enumerate(Nodes_All):\n", " ax.scatter(Nodes_All[node][0],Nodes_All[node][1], s=300,c='r',edgecolor='k')\n", " ax.annotate(node, xy=(Nodes_All[node][0]+Offset[0], Nodes_All[node][1]+Offset[1]),color='b')\n", "\n", "for i in range (len(DF)-1):\n", " One=int(DF['Index'][i])\n", " Two=int(DF['Index'][i+1])\n", " ax.plot([Nodes_All[List_Nodes[One]][0],Nodes_All[List_Nodes[Two]][0]],\n", " [Nodes_All[List_Nodes[One]][1],Nodes_All[List_Nodes[Two]][1]],c='k',lw=3)\n", "\n", "ax.grid(axis='both')\n", "ax.set_xlabel('X(m)')\n", "ax.set_ylabel('Y(m)')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Initialize the algorithm solver" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "ExecuteTime": { "end_time": "2018-03-25T21:57:07.858067Z", "start_time": "2018-03-25T21:57:07.677349Z" }, "collapsed": true }, "outputs": [], "source": [ "Test=Dijkstra()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Set Nodes" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "ExecuteTime": { "end_time": "2018-03-25T21:57:08.058200Z", "start_time": "2018-03-25T21:57:07.861071Z" } }, "outputs": [ { "data": { "text/plain": [ "{'A', 'B', 'C', 'D', 'E', 'F', 'G', 'H', 'I', 'J', 'K', 'L', 'M', 'N'}" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "for word in Nodes_All:\n", " Test.add_node(word)\n", "Test.Nodes" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Set Edges" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "ExecuteTime": { "end_time": "2018-03-25T21:57:08.232315Z", "start_time": "2018-03-25T21:57:08.060202Z" }, "collapsed": true }, "outputs": [], "source": [ "for i in range (len(DF)-1):\n", " One=int(DF['Index'][i])\n", " Two=int(DF['Index'][i+1])\n", " Dist=np.array([Nodes_All[List_Nodes[One]][0],Nodes_All[List_Nodes[One]][1]])-np.array([Nodes_All[List_Nodes[Two]][0],\n", " Nodes_All[List_Nodes[Two]][1]]) # Euclidean Distance\n", " Dist=np.linalg.norm(Dist)\n", " Test.add_edge(List_Nodes[One],List_Nodes[Two],Dist)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "ExecuteTime": { "end_time": "2018-03-25T21:57:08.398426Z", "start_time": "2018-03-25T21:57:08.234316Z" } }, "outputs": [ { "data": { "text/plain": [ "defaultdict(list,\n", " {'A': ['B'],\n", " 'B': ['A', 'C'],\n", " 'C': ['B', 'D'],\n", " 'D': ['C', 'E'],\n", " 'E': ['D', 'F'],\n", " 'F': ['E', 'G'],\n", " 'G': ['F', 'H'],\n", " 'H': ['G', 'I'],\n", " 'I': ['H', 'J'],\n", " 'J': ['I', 'K'],\n", " 'K': ['J', 'L'],\n", " 'L': ['K', 'M'],\n", " 'M': ['L', 'N'],\n", " 'N': ['M']})" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Test.Edges" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "ExecuteTime": { "end_time": "2018-03-25T21:57:08.565537Z", "start_time": "2018-03-25T21:57:08.400427Z" } }, "outputs": [ { "data": { "text/plain": [ "{('A', 'B'): 737.08208498104193,\n", " ('B', 'A'): 737.08208498104193,\n", " ('B', 'C'): 700.102849587116,\n", " ('C', 'B'): 700.102849587116,\n", " ('C', 'D'): 508.84378742399912,\n", " ('D', 'C'): 508.84378742399912,\n", " ('D', 'E'): 662.66884640821922,\n", " ('E', 'D'): 662.66884640821922,\n", " ('E', 'F'): 206.6204249342257,\n", " ('F', 'E'): 206.6204249342257,\n", " ('F', 'G'): 655.14960123623678,\n", " ('G', 'F'): 655.14960123623678,\n", " ('G', 'H'): 103.81714694596457,\n", " ('H', 'G'): 103.81714694596457,\n", " ('H', 'I'): 518.09265580588965,\n", " ('I', 'H'): 518.09265580588965,\n", " ('I', 'J'): 235.42302351299458,\n", " ('J', 'I'): 235.42302351299458,\n", " ('J', 'K'): 227.54340245324627,\n", " ('K', 'J'): 227.54340245324627,\n", " ('K', 'L'): 640.8572383924519,\n", " ('L', 'K'): 640.8572383924519,\n", " ('L', 'M'): 726.24031835199014,\n", " ('M', 'L'): 726.24031835199014,\n", " ('M', 'N'): 226.14154859291116,\n", " ('N', 'M'): 226.14154859291116}" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Test.Distances" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Consider node A as the origin node" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "ExecuteTime": { "end_time": "2018-03-25T21:57:08.728644Z", "start_time": "2018-03-25T21:57:08.567538Z" }, "collapsed": true }, "outputs": [], "source": [ "Result,Path,TotalPath=Test.find_path('A')" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "ExecuteTime": { "end_time": "2018-03-25T21:57:08.889752Z", "start_time": "2018-03-25T21:57:08.730646Z" } }, "outputs": [ { "data": { "text/plain": [ "{'A': 0,\n", " 'B': 737.08208498104193,\n", " 'C': 1437.184934568158,\n", " 'D': 1946.0287219921572,\n", " 'E': 2608.6975684003764,\n", " 'F': 2815.3179933346023,\n", " 'G': 3470.4675945708391,\n", " 'H': 3574.2847415168035,\n", " 'I': 4092.377397322693,\n", " 'J': 4327.8004208356879,\n", " 'K': 4555.3438232889339,\n", " 'L': 5196.2010616813859,\n", " 'M': 5922.4413800333759,\n", " 'N': 6148.582928626287}" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Result" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "ExecuteTime": { "end_time": "2018-03-25T21:57:09.054861Z", "start_time": "2018-03-25T21:57:08.891753Z" } }, "outputs": [ { "data": { "text/plain": [ "{'B': 'A',\n", " 'C': 'B',\n", " 'D': 'C',\n", " 'E': 'D',\n", " 'F': 'E',\n", " 'G': 'F',\n", " 'H': 'G',\n", " 'I': 'H',\n", " 'J': 'I',\n", " 'K': 'J',\n", " 'L': 'K',\n", " 'M': 'L',\n", " 'N': 'M'}" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Path" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Path from origin node to any other node in the network" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "ExecuteTime": { "end_time": "2018-03-25T21:57:09.225976Z", "start_time": "2018-03-25T21:57:09.056864Z" } }, "outputs": [ { "data": { "text/plain": [ "defaultdict(list,\n", " {'A': ['A'],\n", " 'B': ['B', 'A'],\n", " 'C': ['C', 'B', 'A'],\n", " 'D': ['D', 'C', 'B', 'A'],\n", " 'E': ['E', 'D', 'C', 'B', 'A'],\n", " 'F': ['F', 'E', 'D', 'C', 'B', 'A'],\n", " 'G': ['G', 'F', 'E', 'D', 'C', 'B', 'A'],\n", " 'H': ['H', 'G', 'F', 'E', 'D', 'C', 'B', 'A'],\n", " 'I': ['I', 'H', 'G', 'F', 'E', 'D', 'C', 'B', 'A'],\n", " 'J': ['J', 'I', 'H', 'G', 'F', 'E', 'D', 'C', 'B', 'A'],\n", " 'K': ['K', 'J', 'I', 'H', 'G', 'F', 'E', 'D', 'C', 'B', 'A'],\n", " 'L': ['L', 'K', 'J', 'I', 'H', 'G', 'F', 'E', 'D', 'C', 'B', 'A'],\n", " 'M': ['M',\n", " 'L',\n", " 'K',\n", " 'J',\n", " 'I',\n", " 'H',\n", " 'G',\n", " 'F',\n", " 'E',\n", " 'D',\n", " 'C',\n", " 'B',\n", " 'A'],\n", " 'N': ['N',\n", " 'M',\n", " 'L',\n", " 'K',\n", " 'J',\n", " 'I',\n", " 'H',\n", " 'G',\n", " 'F',\n", " 'E',\n", " 'D',\n", " 'C',\n", " 'B',\n", " 'A']})" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "TotalPath" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Plot shortest path from the origin node (i.e. A) to any other node in the network" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "ExecuteTime": { "end_time": "2018-03-25T21:57:09.698386Z", "start_time": "2018-03-25T21:57:09.227977Z" } }, "outputs": [ { "data": { "image/png": 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C77/DX3+ZNi41Gjp0KJs2bSIlJaXUXiM8PBwHB4fHHs/IyODNN9/k2LFjpfbaQpibheHh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\nuEpFhgAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "Test.path_plot(Nodes_All,Node='J',lw=1)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "ExecuteTime": { "end_time": "2018-03-25T21:57:10.129672Z", "start_time": "2018-03-25T21:57:09.700387Z" } }, "outputs": [ { "data": { "image/png": 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FF9L7UqVrPXv2bBITE1mxYoWyQym2xMRERSXdhQu5FZBNW7bEpQwqIGUyGSdP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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "Test.path_plot(Nodes_All,Node='M',lw=1)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "ExecuteTime": { "end_time": "2018-03-25T21:57:10.535942Z", "start_time": "2018-03-25T21:57:10.132672Z" } }, "outputs": [ { "data": { "image/png": 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jC/CVoqIiACIjI2u8HhkZSWVlJadOnWpwM8KBAwew2+0eqaXqOvv27fPI9fxJ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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "Test.path_plot(Nodes_All,Node='F',lw=1)" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "ExecuteTime": { "end_time": "2018-03-25T21:57:10.947213Z", "start_time": "2018-03-25T21:57:10.537944Z" } }, "outputs": [ { "data": { "image/png": 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2w87TAwBaJyNDstmk3/624eOHDnmPL1gQxKIQFgh+JjNnzhwdOXJE5eXl2rlz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\nKcHvwAGgshJ49dW612o18NJLQG4ukJVlhkX+gsG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