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L3_PSet_Circular_Motion.py
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# -----------------
# USER INSTRUCTIONS
#
# Write a function in the class robot called move()
#
# that takes self and a motion vector (this
# motion vector contains a steering* angle and a
# distance) as input and returns an instance of the class
# robot with the appropriate x, y, and orientation
# for the given motion.
#
# *steering is defined in the video
# which accompanies this problem.
#
# For now, please do NOT add noise to your move function.
#
# Please do not modify anything except where indicated
# below.
#
# There are test cases which you are free to use at the
# bottom. If you uncomment them for testing, make sure you
# re-comment them before you submit.
from math import *
import random
# --------
#
# the "world" has 4 landmarks.
# the robot's initial coordinates are somewhere in the square
# represented by the landmarks.
#
# NOTE: Landmark coordinates are given in (y, x) form and NOT
# in the traditional (x, y) format!
landmarks = [[0.0, 100.0], [0.0, 0.0], [100.0, 0.0], [100.0, 100.0]] # position of 4 landmarks
world_size = 100.0 # world is NOT cyclic. Robot is allowed to travel "out of bounds"
max_steering_angle = pi/4 # You don't need to use this value, but it is good to keep in mind the limitations of a real car.
# ------------------------------------------------
#
# this is the robot class
#
class robot:
# --------
# init:
# creates robot and initializes location/orientation
#
def __init__(self, length = 10.0):
self.x = random.random() * world_size # initial x position
self.y = random.random() * world_size # initial y position
self.orientation = random.random() * 2.0 * pi # initial orientation
self.length = length # length of robot
self.bearing_noise = 0.0 # initialize bearing noise to zero
self.steering_noise = 0.0 # initialize steering noise to zero
self.distance_noise = 0.0 # initialize distance noise to zero
def __repr__(self):
return '[x=%.6s y=%.6s orient=%.6s]' % (str(self.x), str(self.y), str(self.orientation))
# --------
# set:
# sets a robot coordinate
#
def set(self, new_x, new_y, new_orientation):
if new_orientation < 0 or new_orientation >= 2 * pi:
raise ValueError, 'Orientation must be in [0..2pi]'
self.x = float(new_x)
self.y = float(new_y)
self.orientation = float(new_orientation)
# --------
# set_noise:
# sets the noise parameters
#
def set_noise(self, new_b_noise, new_s_noise, new_d_noise):
# makes it possible to change the noise parameters
# this is often useful in particle filters
self.bearing_noise = float(new_b_noise)
self.steering_noise = float(new_s_noise)
self.distance_noise = float(new_d_noise)
############# ONLY ADD/MODIFY CODE BELOW HERE ###################
# --------
# move:
# move along a section of a circular path according to motion
#
def move(self, motion): # Do not change the name of this function
# ADD CODE HERE
if motion[0] != 0:
r = self.length / tan(motion[0])
beta = motion[1] / self.length * tan(motion[0])
self.x += 2 * r * sin(beta / 2) * cos(self.orientation + beta / 2)
self.y += 2 * r * sin(beta / 2) * sin(self.orientation + beta / 2)
self.orientation = (self.orientation + beta) % (2 * pi)
else:
self.x += motion[1] * cos(self.orientation)
self.y += motion[1] * sin(self.orientation)
result = self
return result # make sure your move function returns an instance
# of the robot class with the correct coordinates.
############## ONLY ADD/MODIFY CODE ABOVE HERE ####################
## IMPORTANT: You may uncomment the test cases below to test your code.
## But when you submit this code, your test cases MUST be commented
## out. Our testing program provides its own code for testing your
## move function with randomized motion data.
## --------
## TEST CASE:
##
## 1) The following code should print:
## Robot: [x=0.0 y=0.0 orient=0.0]
## Robot: [x=10.0 y=0.0 orient=0.0]
## Robot: [x=19.861 y=1.4333 orient=0.2886]
## Robot: [x=39.034 y=7.1270 orient=0.2886]
##
##
length = 20.
bearing_noise = 0.0
steering_noise = 0.0
distance_noise = 0.0
myrobot = robot(length)
myrobot.set(0.0, 0.0, 0.0)
myrobot.set_noise(bearing_noise, steering_noise, distance_noise)
motions = [[0.0, 10.0], [pi / 6.0, 10], [0.0, 20.0]]
T = len(motions)
print 'Robot: ', myrobot
for t in range(T):
myrobot = myrobot.move(motions[t])
print 'Robot: ', myrobot
##
##
## IMPORTANT: You may uncomment the test cases below to test your code.
## But when you submit this code, your test cases MUST be commented
## out. Our testing program provides its own code for testing your
## move function with randomized motion data.
## 2) The following code should print:
# Robot: [x=0.0 y=0.0 orient=0.0]
# Robot: [x=9.9828 y=0.5063 orient=0.1013]
# Robot: [x=19.863 y=2.0201 orient=0.2027]
# Robot: [x=29.539 y=4.5259 orient=0.3040]
# Robot: [x=38.913 y=7.9979 orient=0.4054]
# Robot: [x=47.887 y=12.400 orient=0.5067]
# Robot: [x=56.369 y=17.688 orient=0.6081]
# Robot: [x=64.273 y=23.807 orient=0.7094]
# Robot: [x=71.517 y=30.695 orient=0.8108]
# Robot: [x=78.027 y=38.280 orient=0.9121]
# Robot: [x=83.736 y=46.485 orient=1.0135]
#
#
length = 20.
bearing_noise = 0.0
steering_noise = 0.0
distance_noise = 0.0
myrobot = robot(length)
myrobot.set(0.0, 0.0, 0.0)
myrobot.set_noise(bearing_noise, steering_noise, distance_noise)
motions = [[0.2, 10.] for row in range(10)]
T = len(motions)
print
print 'Robot: ', myrobot
for t in range(T):
myrobot = myrobot.move(motions[t])
print 'Robot: ', myrobot
## IMPORTANT: You may uncomment the test cases below to test your code.
## But when you submit this code, your test cases MUST be commented
## out. Our testing program provides its own code for testing your
## move function with randomized motion data.