Learning · Robot club · about 30 min
A classifier decides what the robot does next.
[1 mark]The classifier says wall-ahead. What does the plan do?
open drives forward, wall-ahead slides along, a gap label lines up and goes through.[1 mark]Near the end of the wall the label flickers between gap-left and gap-right. How do you stop the robot sliding back and forth?
[1 mark]What does this program print?
plan = None
for label in ["open", "wall-ahead", "gap-left", "gap-right", "gap-left"]:
if plan is None and label.startswith("gap"):
plan = label
print("plan:", plan)plan: gap-left
The first gap label is gap-left. After that plan is no longer None, so the later labels do not change it.
[1 mark]Which labels mean the wall ends here?
Tick every answer that is true.
[1 mark]The wall is 60 cm ahead of the start and the goal zone is centred 81 cm ahead. How many cm beyond the wall is the goal's centre?
[1 mark]Why keep printing model says: <label> as the robot goes?
Get from the start to the goal zone without touching anything, using the classifier to decide what to do, printing model says: <label> at least five times on the way.
# the two lines every program starts with: the commands, then the robot
from bugbot import *
connect()
def level_rows():
# rows 2 and 3: the 16 readings that look straight ahead
return tof_grid()[16:32]
def nearest(sample, data):
# the label of the recorded sample most like this one (smallest sum of squared differences)
best_label, best_d = None, 1e18
for feats, label in data:
d = sum((a - b) ** 2 for a, b in zip(feats, sample))
if d < best_d:
best_label, best_d = label, d
return best_label
DATA = [
([54, 52, 51, 51, 51, 51, 52, 54, 54, 52, 51, 51, 51, 51, 52, 54], 'open'),
([16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16], 'wall-ahead'),
([36, 47, 46, 46, 46, 16, 16, 16, 36, 47, 46, 46, 46, 16, 16, 16], 'gap-left'),
([16, 16, 16, 46, 46, 46, 47, 36, 16, 16, 16, 46, 46, 46, 47, 36], 'gap-right'),
([400, 400, 61, 61, 61, 61, 400, 400, 96, 62, 61, 61, 61, 61, 62, 64], 'open'),
([52, 50, 49, 49, 49, 49, 50, 52, 51, 50, 49, 49, 49, 49, 50, 51], 'open'),
([39, 38, 37, 37, 37, 37, 38, 39, 39, 38, 37, 37, 37, 37, 38, 39], 'open'),
([400, 400, 61, 61, 61, 61, 400, 400, 64, 62, 61, 61, 61, 61, 62, 64], 'open'),
([52, 50, 49, 49, 49, 49, 50, 52, 51, 50, 49, 49, 49, 49, 50, 51], 'open'),
([39, 38, 37, 37, 37, 37, 38, 39, 39, 38, 37, 37, 37, 37, 38, 39], 'open'),
([400, 400, 61, 61, 61, 61, 400, 400, 64, 62, 61, 61, 61, 61, 62, 96], 'open'),
([52, 50, 49, 49, 49, 49, 50, 52, 51, 50, 49, 49, 49, 49, 50, 51], 'open'),
([39, 38, 37, 37, 37, 37, 38, 39, 39, 38, 37, 37, 37, 37, 38, 39], 'open'),
([26, 25, 25, 25, 25, 25, 25, 26, 26, 25, 25, 25, 25, 25, 25, 26], 'wall-ahead'),
([18, 17, 17, 17, 17, 17, 17, 18, 17, 17, 17, 17, 17, 17, 17, 17], 'wall-ahead'),
([9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], 'wall-ahead'),
([26, 25, 25, 25, 25, 25, 25, 26, 26, 25, 25, 25, 25, 25, 25, 26], 'wall-ahead'),
([18, 17, 17, 17, 17, 17, 17, 18, 17, 17, 17, 17, 17, 17, 17, 17], 'wall-ahead'),
([9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], 'wall-ahead'),
([26, 25, 25, 25, 25, 25, 25, 26, 26, 25, 25, 25, 25, 25, 25, 26], 'wall-ahead'),
([18, 17, 17, 17, 17, 17, 17, 18, 17, 17, 17, 17, 17, 17, 17, 17], 'wall-ahead'),
([9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], 'wall-ahead'),
([24, 34, 55, 59, 59, 59, 29, 30, 24, 33, 55, 59, 59, 59, 29, 30], 'gap-left'),
([24, 34, 51, 51, 51, 51, 25, 22, 24, 33, 51, 51, 51, 51, 25, 22], 'gap-left'),
([24, 34, 43, 43, 43, 43, 44, 18, 24, 33, 43, 43, 43, 43, 44, 18], 'gap-left'),
([42, 58, 59, 59, 29, 29, 29, 30, 42, 58, 59, 59, 29, 29, 29, 30], 'gap-left'),
([42, 52, 51, 51, 21, 21, 21, 22, 42, 52, 51, 51, 21, 21, 21, 22], 'gap-left'),
([42, 44, 43, 43, 13, 13, 13, 13, 42, 44, 43, 43, 13, 13, 13, 13], 'gap-left'),
([30, 29, 29, 29, 59, 59, 58, 42, 30, 29, 29, 29, 59, 59, 58, 42], 'gap-right'),
([22, 21, 21, 21, 51, 51, 52, 42, 22, 21, 21, 21, 51, 51, 52, 42], 'gap-right'),
([13, 13, 13, 13, 43, 43, 44, 42, 13, 13, 13, 13, 43, 43, 44, 42], 'gap-right'),
([30, 29, 59, 59, 59, 55, 34, 24, 30, 29, 59, 59, 59, 55, 33, 24], 'gap-right'),
([22, 25, 51, 51, 51, 51, 34, 24, 22, 25, 51, 51, 51, 51, 33, 24], 'gap-right'),
([18, 44, 43, 43, 43, 43, 34, 24, 18, 44, 43, 43, 43, 43, 33, 24], 'gap-right'),
]
# do this 50 times (tick counts from 0)
for tick in range(50):
print('model says:', nearest(level_rows(), DATA))
# drive forward at 60 (keeps going until the next command)
forward(60)
# pause 0.1 s (the robot keeps doing what it was told)
wait(0.1)
# all motors off
stop()The hint students can ask for: Get past the wall to the green zone using the classifier to decide what to do: open means go, wall-ahead means slide sideways, a gap means go through it. Print model says: <label> as you go.
from bugbot import *
connect()
import math
def wrapped(h):
return (h + 180) % 360 - 180
def go_to(x, y, speed=60):
px, py = position()
a = math.radians(wrapped(math.degrees(math.atan2(x - px, y - py)) - heading()))
drive(speed * math.cos(a), speed * math.sin(a), wrapped(0 - heading()) * 3)
def near(x, y, cm=4):
px, py = position()
return math.hypot(x - px, y - py) < cm
def drive_to(x, y):
while not near(x, y):
go_to(x, y)
wait(0.1)
stop()
wait(0.4)
def level_rows():
return tof_grid()[16:32] # rows 2 and 3: the 16 readings that look straight ahead
def nearest(sample, data):
# the label of the recorded sample most like this one (smallest sum of squared differences)
best_label, best_d = None, 1e18
for feats, label in data:
d = sum((a - b) ** 2 for a, b in zip(feats, sample))
if d < best_d:
best_label, best_d = label, d
return best_label
DATA = [
([54, 52, 51, 51, 51, 51, 52, 54, 54, 52, 51, 51, 51, 51, 52, 54], 'open'),
([16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16], 'wall-ahead'),
([36, 47, 46, 46, 46, 16, 16, 16, 36, 47, 46, 46, 46, 16, 16, 16], 'gap-left'),
([16, 16, 16, 46, 46, 46, 47, 36, 16, 16, 16, 46, 46, 46, 47, 36], 'gap-right'),
([400, 400, 61, 61, 61, 61, 400, 400, 96, 62, 61, 61, 61, 61, 62, 64], 'open'),
([52, 50, 49, 49, 49, 49, 50, 52, 51, 50, 49, 49, 49, 49, 50, 51], 'open'),
([39, 38, 37, 37, 37, 37, 38, 39, 39, 38, 37, 37, 37, 37, 38, 39], 'open'),
([400, 400, 61, 61, 61, 61, 400, 400, 64, 62, 61, 61, 61, 61, 62, 64], 'open'),
([52, 50, 49, 49, 49, 49, 50, 52, 51, 50, 49, 49, 49, 49, 50, 51], 'open'),
([39, 38, 37, 37, 37, 37, 38, 39, 39, 38, 37, 37, 37, 37, 38, 39], 'open'),
([400, 400, 61, 61, 61, 61, 400, 400, 64, 62, 61, 61, 61, 61, 62, 96], 'open'),
([52, 50, 49, 49, 49, 49, 50, 52, 51, 50, 49, 49, 49, 49, 50, 51], 'open'),
([39, 38, 37, 37, 37, 37, 38, 39, 39, 38, 37, 37, 37, 37, 38, 39], 'open'),
([26, 25, 25, 25, 25, 25, 25, 26, 26, 25, 25, 25, 25, 25, 25, 26], 'wall-ahead'),
([18, 17, 17, 17, 17, 17, 17, 18, 17, 17, 17, 17, 17, 17, 17, 17], 'wall-ahead'),
([9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], 'wall-ahead'),
([26, 25, 25, 25, 25, 25, 25, 26, 26, 25, 25, 25, 25, 25, 25, 26], 'wall-ahead'),
([18, 17, 17, 17, 17, 17, 17, 18, 17, 17, 17, 17, 17, 17, 17, 17], 'wall-ahead'),
([9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], 'wall-ahead'),
([26, 25, 25, 25, 25, 25, 25, 26, 26, 25, 25, 25, 25, 25, 25, 26], 'wall-ahead'),
([18, 17, 17, 17, 17, 17, 17, 18, 17, 17, 17, 17, 17, 17, 17, 17], 'wall-ahead'),
([9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], 'wall-ahead'),
([24, 34, 55, 59, 59, 59, 29, 30, 24, 33, 55, 59, 59, 59, 29, 30], 'gap-left'),
([24, 34, 51, 51, 51, 51, 25, 22, 24, 33, 51, 51, 51, 51, 25, 22], 'gap-left'),
([24, 34, 43, 43, 43, 43, 44, 18, 24, 33, 43, 43, 43, 43, 44, 18], 'gap-left'),
([42, 58, 59, 59, 29, 29, 29, 30, 42, 58, 59, 59, 29, 29, 29, 30], 'gap-left'),
([42, 52, 51, 51, 21, 21, 21, 22, 42, 52, 51, 51, 21, 21, 21, 22], 'gap-left'),
([42, 44, 43, 43, 13, 13, 13, 13, 42, 44, 43, 43, 13, 13, 13, 13], 'gap-left'),
([30, 29, 29, 29, 59, 59, 58, 42, 30, 29, 29, 29, 59, 59, 58, 42], 'gap-right'),
([22, 21, 21, 21, 51, 51, 52, 42, 22, 21, 21, 21, 51, 51, 52, 42], 'gap-right'),
([13, 13, 13, 13, 43, 43, 44, 42, 13, 13, 13, 13, 43, 43, 44, 42], 'gap-right'),
([30, 29, 59, 59, 59, 55, 34, 24, 30, 29, 59, 59, 59, 55, 33, 24], 'gap-right'),
([22, 25, 51, 51, 51, 51, 34, 24, 22, 25, 51, 51, 51, 51, 33, 24], 'gap-right'),
([18, 44, 43, 43, 43, 43, 34, 24, 18, 44, 43, 43, 43, 43, 33, 24], 'gap-right'),
]
plan = None
for tick in range(590):
x, y = position()
label = nearest(level_rows(), DATA)
if tick % 10 == 0:
print("model says:", label)
if y > 74: # past the wall: head for the goal
if near(0, 82, cm=5):
break
go_to(0, 82)
elif plan == "left": # a gap was seen on the left: line up with it, then through
left(50) if x > -42 else go_to(-42, 80)
elif plan == "right":
right(50) if x < 42 else go_to(42, 80)
elif label == "open":
forward(60)
elif label == "wall-ahead":
left(60) # slide along the wall to find its end
else:
plan = "left" if label == "gap-left" else "right" # decide once, then stick to it
wait(0.1)
stop()
Any program that meets the task's checks is marked correct in the simulator; this is one way, not the only way.