The main topics of this worksheet are:
It is important to get some practice with each topic during discussion. If you find any one topic taking a long time, it would be a good idea to move ahead.
Complete these coding exercises. Each one asks you to write one or more programs or modules. Even though these are not collected, you should get into the habit of following the coding standards that apply to all graded work in MCS 275.
Here is a function that takes an integer and determines how many of the bits in its binary expansion are equal to 1 (such a bit is also called "set"). There are other ways to do this; the one shown below was chosen for its code simplicity.
def bits_set(n):
"""Return the number of 1 bits when `n` is represented in binary"""
return bin(n).count("1")
# Example: bits_set(9) returns 2 because 9 = 0b1001 which has two bits set to 1.
Write a function most_bits_set(...) that accepts any number of integers as positional arguments. The function should determine which of the arguments have the most bits equal to 1. Among arguments that have this maximum number of bits equal to 1, the function should return the one that appears earliest in the argument list.
In creating this function, you are encouraged to use the function bits_set given above.
Examples of the expected behavior of most_bits_set:
most_bits_set(0)
# 9 is the only one with 2 bits set, so it is returned
most_bits_set(8,9,0,4)
# 7,14,13 all have 3 bits set, which is the maximum seen here
# (9 has only 2 bits set, and 2 has only 1 bit set)
# Therefore 7 is returned
most_bits_set(2,7,14,9,13)
Write a function kwarg_name_with_longest_value(...) which accepts any number of keyword arguments (a.k.a. kwargs). Every value passed as a keyword argument is expected to be a sequence, such as a string, list, or tuple. Note that sequences allow computation of length using len(). The function should determine which argument has the maximum length, and return the name of that argument. If several keyword arguments share the maximum length, it is acceptable to return any one of their names.
Example:
kwarg_name_with_longest_value(alpha="air",b="Tornado",c="cat")
# It is acceptable for this to return 'a' or 'b'
kwarg_name_with_longest_value(a="finite",b="robots",c=[2,3,4])
Write a function powers_2_less(n) that prints the powers of 2 that are less than n, all on one line separated by spaces, with no commas or brackets. Use the following specific structure to achieve this:
Examples:
powers_2_less(100)
powers_2_less(128)
powers_2_less(129)
powers_2_less(10000)
Here is a short program that computes the squares of the integers 1...1_000_000 and then prints how long the calculation took.
import time
t_start = time.time() # Time since 0:00 Jan 1 1970 UTC, in seconds
million_squares = [ (x+1)**2 for x in range(1_000_000) ]
t_end = time.time()
print("Running time: {:.4f} seconds".format(t_end - t_start))
Using the code above as a reference, write a decorator called timing that, when applied to a function, makes every call to that function print how long it took for the function to complete. The function's return value, if any, should still be returned. And the decorator should work with functions that take arguments.
Examples of how this should work:
@timing
def squares_of_first(n):
"""Return a list of the squares of 1, 2, ...,n"""
return [ (x+1)**2 for x in range(n) ]
@timing
def print_greeting(name="friend",salutation="Hello"):
"""Print a customizable greeting"""
print("{}, {}. It is nice to see you.".format(salutation,name))
squares_of_first(10)
x=squares_of_first(100_000) # assign so the value is not printed!
print_greeting(name="Anushka",salutation="Howdy")
print_greeting(salutation="Greetings")
Write a decorator unary that ensures a function only ever receives one positional argument, and never receives any keyword arguments. Any extra arguments (positional arguments after the first, or any keyword arguments at all) should simply be ignored. If no arguments are given, then the decorator is allowed to do anything (e.g. raise an exception).
@unary
def show(x):
"""Display a single value"""
print("Value:",x)
@unary
def square(x):
"""Return the square of x"""
return x*x
show(50)
show("Hello everyone")
show(3,4,5,6,7)
show(5,6,7,8,appreciated="GvR")
square(5,x=0)
square(12,20)
Note: Silently dropping arguments is usually not a good idea, so this decorator is more of a concept exercise than a model to emulate in your future programs!
The code shown below creates a file, fills it with data, and then reads it back.
Convert this code to using context managers instead of manual cleanup.
outfile = open("mcs275ws4prob6data.txt","w") # delete if it exists!
outfile.write("{} {}\n".format("i","i**2"))
for i in range(32):
outfile.write("{} {}\n".format(i,i**2))
outfile.close()
infile = open("mcs275ws4prob6data.txt","r")
max_seen = -1
for line in infile:
fields = line.strip().split(" ")
if len(fields) != 2:
continue
try:
x = int(fields[1])
except ValueError:
# first line doesn't contain an integer
# just skip it
continue
if x > max_seen:
max_seen = x
infile.close()
print("The largest square appearing in the file is:",max_seen)
Secondary activity: Determine exactly how the second loop in this code works, and what formatting variations it will tolerate.
Here is a function that returns the abbreviated current weekday as a string (e.g. "Mon", "Tue", ...).
import datetime
def current_weekday():
"""Abbreviated weekday name"""
now = datetime.datetime.now()
return now.strftime("%a")
Write a class NotOnMonday that creates a context manager to ensure that a block of code does not start or end on a Monday.
The constructor should accept no arguments; in fact, no constructor is needed. The function of the context manager should be:
Notice that this decorator checks the day of week in both setup and cleanup phases; this matters because the day might change during execution of the with-block.
Your class should use current_weekday() defined above to get the weekday. That way, you can temporarily change current_weekday() to return something else (e.g. return "Mon" all the time, or return "Mon" the first time it is called, and "Tue" every other time, ...) for testing purposes.
Example of use:
# The sample output was obtained on a Saturday using the actual day of week
with NotOnMonday():
print("It is not Monday!")
# An example that shows what would happen if current_weekday() returned "Mon" the first time,
# and then returned "Tue" for each subsequent call
with NotOnMonday():
print("It is not Monday!")
# An example that shows what would happen if current_weekday() returned "Tue" the first time,
# "Mon" the second time, and "Tue" all subsequent times it is called.
with NotOnMonday():
print("It is not Monday!")