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ps2.py
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ps2.py
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# 6.00.2x Problem Set 2: Simulating robots
import math
import random
import ps2_visualize
import pylab
##################
## Comment/uncomment the relevant lines, depending on which version of Python you have
##################
# For Python 3.5:
#from ps2_verify_movement35 import testRobotMovement
# If you get a "Bad magic number" ImportError, you are not using Python 3.5
# For Python 3.6:
from ps2_verify_movement36 import testRobotMovement
# If you get a "Bad magic number" ImportError, you are not using Python 3.6
# === Provided class Position
class Position(object):
"""
A Position represents a location in a two-dimensional room.
"""
def __init__(self, x, y):
"""
Initializes a position with coordinates (x, y).
"""
self.x = x
self.y = y
def getX(self):
return self.x
def getY(self):
return self.y
def getNewPosition(self, angle, speed):
"""
Computes and returns the new Position after a single clock-tick has
passed, with this object as the current position, and with the
specified angle and speed.
Does NOT test whether the returned position fits inside the room.
angle: number representing angle in degrees, 0 <= angle < 360
speed: positive float representing speed
Returns: a Position object representing the new position.
"""
old_x, old_y = self.getX(), self.getY()
angle = float(angle)
# Compute the change in position
delta_y = speed * math.cos(math.radians(angle))
delta_x = speed * math.sin(math.radians(angle))
# Add that to the existing position
new_x = old_x + delta_x
new_y = old_y + delta_y
return Position(new_x, new_y)
def __str__(self):
return "(%0.2f, %0.2f)" % (self.x, self.y)
# === Problem 1
class RectangularRoom(object):
"""
A RectangularRoom represents a rectangular region containing clean or dirty
tiles.
A room has a width and a height and contains (width * height) tiles. At any
particular time, each of these tiles is either clean or dirty.
"""
def __init__(self, width, height):
"""
Initializes a rectangular room with the specified width and height.
Initially, no tiles in the room have been cleaned.
width: an integer > 0
height: an integer > 0
"""
raise NotImplementedError
def cleanTileAtPosition(self, pos):
"""
Mark the tile under the position POS as cleaned.
Assumes that POS represents a valid position inside this room.
pos: a Position
"""
raise NotImplementedError
def isTileCleaned(self, m, n):
"""
Return True if the tile (m, n) has been cleaned.
Assumes that (m, n) represents a valid tile inside the room.
m: an integer
n: an integer
returns: True if (m, n) is cleaned, False otherwise
"""
raise NotImplementedError
def getNumTiles(self):
"""
Return the total number of tiles in the room.
returns: an integer
"""
raise NotImplementedError
def getNumCleanedTiles(self):
"""
Return the total number of clean tiles in the room.
returns: an integer
"""
raise NotImplementedError
def getRandomPosition(self):
"""
Return a random position inside the room.
returns: a Position object.
"""
raise NotImplementedError
def isPositionInRoom(self, pos):
"""
Return True if pos is inside the room.
pos: a Position object.
returns: True if pos is in the room, False otherwise.
"""
raise NotImplementedError
# === Problem 2
class Robot(object):
"""
Represents a robot cleaning a particular room.
At all times the robot has a particular position and direction in the room.
The robot also has a fixed speed.
Subclasses of Robot should provide movement strategies by implementing
updatePositionAndClean(), which simulates a single time-step.
"""
def __init__(self, room, speed):
"""
Initializes a Robot with the given speed in the specified room. The
robot initially has a random direction and a random position in the
room. The robot cleans the tile it is on.
room: a RectangularRoom object.
speed: a float (speed > 0)
"""
raise NotImplementedError
def getRobotPosition(self):
"""
Return the position of the robot.
returns: a Position object giving the robot's position.
"""
raise NotImplementedError
def getRobotDirection(self):
"""
Return the direction of the robot.
returns: an integer d giving the direction of the robot as an angle in
degrees, 0 <= d < 360.
"""
raise NotImplementedError
def setRobotPosition(self, position):
"""
Set the position of the robot to POSITION.
position: a Position object.
"""
raise NotImplementedError
def setRobotDirection(self, direction):
"""
Set the direction of the robot to DIRECTION.
direction: integer representing an angle in degrees
"""
raise NotImplementedError
def updatePositionAndClean(self):
"""
Simulate the passage of a single time-step.
Move the robot to a new position and mark the tile it is on as having
been cleaned.
"""
raise NotImplementedError # don't change this!
# === Problem 3
class StandardRobot(Robot):
"""
A StandardRobot is a Robot with the standard movement strategy.
At each time-step, a StandardRobot attempts to move in its current
direction; when it would hit a wall, it *instead* chooses a new direction
randomly.
"""
def updatePositionAndClean(self):
"""
Simulate the passage of a single time-step.
Move the robot to a new position and mark the tile it is on as having
been cleaned.
"""
raise NotImplementedError
# Uncomment this line to see your implementation of StandardRobot in action!
##testRobotMovement(StandardRobot, RectangularRoom)
# === Problem 4
def runSimulation(num_robots, speed, width, height, min_coverage, num_trials,
robot_type):
"""
Runs NUM_TRIALS trials of the simulation and returns the mean number of
time-steps needed to clean the fraction MIN_COVERAGE of the room.
The simulation is run with NUM_ROBOTS robots of type ROBOT_TYPE, each with
speed SPEED, in a room of dimensions WIDTH x HEIGHT.
num_robots: an int (num_robots > 0)
speed: a float (speed > 0)
width: an int (width > 0)
height: an int (height > 0)
min_coverage: a float (0 <= min_coverage <= 1.0)
num_trials: an int (num_trials > 0)
robot_type: class of robot to be instantiated (e.g. StandardRobot or
RandomWalkRobot)
"""
raise NotImplementedError
# Uncomment this line to see how much your simulation takes on average
##print(runSimulation(1, 1.0, 10, 10, 0.75, 30, StandardRobot))
# === Problem 5
class RandomWalkRobot(Robot):
"""
A RandomWalkRobot is a robot with the "random walk" movement strategy: it
chooses a new direction at random at the end of each time-step.
"""
def updatePositionAndClean(self):
"""
Simulate the passage of a single time-step.
Move the robot to a new position and mark the tile it is on as having
been cleaned.
"""
raise NotImplementedError
def showPlot1(title, x_label, y_label):
"""
What information does the plot produced by this function tell you?
"""
num_robot_range = range(1, 11)
times1 = []
times2 = []
for num_robots in num_robot_range:
print("Plotting", num_robots, "robots...")
times1.append(runSimulation(num_robots, 1.0, 20, 20, 0.8, 20, StandardRobot))
times2.append(runSimulation(num_robots, 1.0, 20, 20, 0.8, 20, RandomWalkRobot))
pylab.plot(num_robot_range, times1)
pylab.plot(num_robot_range, times2)
pylab.title(title)
pylab.legend(('StandardRobot', 'RandomWalkRobot'))
pylab.xlabel(x_label)
pylab.ylabel(y_label)
pylab.show()
def showPlot2(title, x_label, y_label):
"""
What information does the plot produced by this function tell you?
"""
aspect_ratios = []
times1 = []
times2 = []
for width in [10, 20, 25, 50]:
height = 300//width
print("Plotting cleaning time for a room of width:", width, "by height:", height)
aspect_ratios.append(float(width) / height)
times1.append(runSimulation(2, 1.0, width, height, 0.8, 200, StandardRobot))
times2.append(runSimulation(2, 1.0, width, height, 0.8, 200, RandomWalkRobot))
pylab.plot(aspect_ratios, times1)
pylab.plot(aspect_ratios, times2)
pylab.title(title)
pylab.legend(('StandardRobot', 'RandomWalkRobot'))
pylab.xlabel(x_label)
pylab.ylabel(y_label)
pylab.show()
# === Problem 6
# NOTE: If you are running the simulation, you will have to close it
# before the plot will show up.
#
# 1) Write a function call to showPlot1 that generates an appropriately-labeled
# plot.
#
# (... your call here ...)
#
#
# 2) Write a function call to showPlot2 that generates an appropriately-labeled
# plot.
#
# (... your call here ...)
#