To develop an algorithm to find the route from the source to the destination point using breadth-first search.
Breadth-first search, also known as BFS, finds shortest paths from a given source vertex to all other vertices, in terms of the number of edges in the paths.
Identify a location in the google map:
Select a specific number of nodes with distance
Import required packages.
Include each node and its distance separately in the dictionary data structure.
End of program.
%matplotlib inline
import matplotlib.pyplot as plt
import random
import math
import sys
from collections import defaultdict, deque, Counter
from itertools import combinations
class Problem(object):
"""The abstract class for a formal problem. A new domain subclasses this,
overriding `actions` and `results`, and perhaps other methods.
The default heuristic is 0 and the default action cost is 1 for all states.
When yiou create an instance of a subclass, specify `initial`, and `goal` states
(or give an `is_goal` method) and perhaps other keyword args for the subclass."""
def __init__(self, initial=None, goal=None, **kwds):
self.__dict__.update(initial=initial, goal=goal, **kwds)
def actions(self, state):
raise NotImplementedError
def result(self, state, action):
raise NotImplementedError
def is_goal(self, state):
return state == self.goal
def action_cost(self, s, a, s1):
return 1
def __str__(self):
return '{0}({1}, {2})'.format(
type(self).__name__, self.initial, self.goal)
class Node:
"A Node in a search tree."
def __init__(self, state, parent=None, action=None, path_cost=0):
self.__dict__.update(state=state, parent=parent, action=action, path_cost=path_cost)
def __str__(self):
return '<{0}>'.format(self.state)
def __len__(self):
return 0 if self.parent is None else (1 + len(self.parent))
def __lt__(self, other):
return self.path_cost < other.path_cost
failure = Node('failure', path_cost=math.inf) # Indicates an algorithm couldn't find a solution.
cutoff = Node('cutoff', path_cost=math.inf) # Indicates iterative deepening search was cut off.
def expand(problem, node):
"Expand a node, generating the children nodes."
s = node.state
for action in problem.actions(s):
s1 = problem.result(s, action)
cost = node.path_cost + problem.action_cost(s, action, s1)
yield Node(s1, node, action, cost)
def path_actions(node):
"The sequence of actions to get to this node."
if node.parent is None:
return []
return path_actions(node.parent) + [node.action]
def path_states(node):
"The sequence of states to get to this node."
if node in (cutoff, failure, None):
return []
return path_states(node.parent) + [node.state]
FIFOQueue = deque
def breadth_first_search(problem):
"Search shallowest nodes in the search tree first."
node = Node(problem.initial)
if problem.is_goal(problem.initial):
return node
# Remove the following comments to initialize the data structure
frontier = FIFOQueue([node])
reached = {problem.initial}
while frontier:
node = frontier.pop()
for child in expand(problem, node):
s = child.state
if problem.is_goal(s):
return child
if s not in reached:
reached.add(s)
frontier.appendleft(child)
return failure
class RouteProblem(Problem):
"""A problem to find a route between locations on a `Map`.
Create a problem with RouteProblem(start, goal, map=Map(...)}).
States are the vertexes in the Map graph; actions are destination states."""
def actions(self, state):
"""The places neighboring `state`."""
return self.map.neighbors[state]
def result(self, state, action):
"""Go to the `action` place, if the map says that is possible."""
return action if action in self.map.neighbors[state] else state
def action_cost(self, s, action, s1):
"""The distance (cost) to go from s to s1."""
return self.map.distances[s, s1]
def h(self, node):
"Straight-line distance between state and the goal."
locs = self.map.locations
return straight_line_distance(locs[node.state], locs[self.goal])
class Map:
"""A map of places in a 2D world: a graph with vertexes and links between them.
In `Map(links, locations)`, `links` can be either [(v1, v2)...] pairs,
or a {(v1, v2): distance...} dict. Optional `locations` can be {v1: (x, y)}
If `directed=False` then for every (v1, v2) link, we add a (v2, v1) link."""
def __init__(self, links, locations=None, directed=False):
if not hasattr(links, 'items'): # Distances are 1 by default
links = {link: 1 for link in links}
if not directed:
for (v1, v2) in list(links):
links[v2, v1] = links[v1, v2]
self.distances = links
self.neighbors = multimap(links)
self.locations = locations or defaultdict(lambda: (0, 0))
def multimap(pairs) -> dict:
"Given (key, val) pairs, make a dict of {key: [val,...]}."
result = defaultdict(list)
for key, val in pairs:
result[key].append(val)
return result
# Create your own map and define the nodes
saveetha_nearby_locations = Map(
{('SaveethaHospital', 'Chembarambakkam'): 3,
('Chembarambakkam', 'PoonamalleeBridge'): 6,
('PoonamalleeBridge', 'PoonamalleeBusTerminus'): 1,
('PoonamalleeBridge', 'Seener Kupam'): 3,
('Seener Kupam', 'SaveethaDentalCollege'): 3,
('PoonamalleeBusTerminus', 'Karanchavadi'): 3,
('Karanchavadi','Kumanchavadi'): 2,
('Karanchavadi','Seener kupam'): 2,
('Kumanachavadi', 'Kattupakkam'): 1,
('SaveethaDentalCollege', 'Kumanachavadi'): 2,
('SaveethaDentalCollege', 'Maduravoyal'): 5,
('Maduravoyal', 'Koyambedu'): 5,
('Koyambedu', 'CMBT'): 1,
('Koyambedu', 'Chetpet'): 6,
('CMBT', 'Vadapalani'): 5,
('Kattupakkam', 'Porur link road'): 4,
('Porur link road', 'Porur'): 1,
('Porur', 'Vadapalani'): 3,
('Porur link road', 'Maduravoil'): 2,
('Porur', 'Vadapalani'): 4,
('Vadapalani', 'T-Nagar'): 4,
('Vadapalani', 'Guindy'): 6,
('Vadapalani', 'Nungabakkam'): 4,
('Nungabakkam','Chetpet'): 5,
('T-Nagar', 'Guindy'): 7,
('Porur', 'Gundy'): 10,
('Gundy', 'ChennaiAirport'): 5})
r0 = RouteProblem('SaveethaHospital', 'ChennaiAirport', map=saveetha_nearby_locations)
r1 = RouteProblem('PoonamalleeBusTerminus', 'Koyambedu', map=saveetha_nearby_locations)
r2 = RouteProblem('Koyambedu', 'Nungabakkam', map=saveetha_nearby_locations)
r3 = RouteProblem('Kattupakkam', 'ChennaiAirport', map=saveetha_nearby_locations)
r4 = RouteProblem('ChennaiAirport', 'SaveethaDentalCollege', map=saveetha_nearby_locations)
r5 = RouteProblem('SaveethaHospital', 'Maduravoil', map=saveetha_nearby_locations)
r6 = RouteProblem('PoonamalleeBusTerminus', 'Vadapalani', map=saveetha_nearby_locations)
r7 = RouteProblem('Koyambedu', 'Karanchavadi', map=saveetha_nearby_locations)
r8 = RouteProblem('Kattupakkam', 'T-Nagar', map=saveetha_nearby_locations)
r9 = RouteProblem('Vadapalani', 'SaveethaDentalCollege', map=saveetha_nearby_locations)
goal_state_path=breadth_first_search(r4)
print("GoalStateWithPath:{0}".format(goal_state_path))
path_states(goal_state_path)
print("Total Distance={0} Kilometers".format(goal_state_path.path_cost))
Route follow the minimum distance between locations using breadth-first search.
Thus the program developed for finding route with drawn map and finding its distance covered