MCS 275 Spring 2024
Emily Dumas
Reminders and announcements:
A function is variadic if it can accept a variable number of arguments. This is general CS terminology.
Python supports these. The syntax
def f(a,b,*args):
means that the first argument goes into variable a
, the second into variable b
, and any other arguments are "packed" into a tuple which is assigned to args
.
Similarly, the syntax
def f(a,b,**kwargs):
or
def f(a,b,*args,**kwargs):
packs all extra keyword arguments into a dictionary called kwargs
.
It is traditional to use the names args
and kwargs
, but it is not required.
Take arguments from a list or tuple:
L = [6,11,16]
f(1,*L) # calls f(1,6,11,16)
Take keyword arguments from a dict:
d = { "mcs275": "fun", "x": 42 }
f(1,z=0,**d) # calls f(1,z=0,mcs275="fun",x=42)
Think of *
as "remove the brackets", and **
as "remove the curly braces".
Suppose we define a function:
def f(x):
"Compute the square of `x`"
return x*x
Then the name f
refers to a function object.
You can work with a function object like any other value, e.g. assign other things to it, pass it as an argument, ...
Like other objects, function objects have attributes (e.g. `__name__`, `__doc__`).
You can think of def
as the "function object constructor".
In Python, you can create a function with no name—an anonymous function—using the syntax:
lambda x: x*x # takes x, returns x*x
lambda x,y: x-y # takes x and y, returns value x-y
lambda
then evaluates to a function object, so the expression
lambda x,y: x-y
behaves just like the name
diff
if you previously defined
def diff(x,y):
return x-y
Functions definitely deserve names if they are used in several places, or if they are complicated.
But lambda
is good for simple functions used once. Then, the definition and the only place of use are not separated.
The built-in functions max
, min
, and list.sort
accept a keyword argument key
that is a function which is applied to elements before making comparisons.
e.g. if L
is a list of words, then max(L,key=len)
is the longest word.
Functions in Python can accept functions as arguments.
def dotwice(f):
"""Call function f twice"""
f()
f()
A better version works with functions that accept arguments:
def dotwice(f,*args,**kwargs):
"""Call function f twice (allowing arguments)"""
f(*args,**kwargs)
f(*args,**kwargs)
Here, *args
means any number of positional arguments, and **kwargs
means any number of keyword arguments.
Functions in Python can return functions. Often this is used to make "function factories".
def power_function(n):
def inner(x): # function inside a function!
"""Raise x to a power"""
return x**n
return inner
def return_twice_doer(f):
"""Return a new function which calls f twice"""
def inner(*args,**kwargs):
"""Call a certain function twice"""
f(*args,**kwargs)
f(*args,**kwargs)
return inner
In some cases we might want to replace an existing function with a modified version of it (e.g. as returned by some other function).
def g(x):
"""Print the argument with a message"""
print("Function got value",x)
# actually, I wanted to always print that message twice!
g = return_twice_doer(g)
There is a shorter syntax to replace a function with a modified version.
@modifier
def fn(x,y):
"""Function body goes here"""
is equivalent to
def fn(x,y):
"""Function body goes here"""
fn = modifier(fn)
The symbol @modifier
(or any @name
) before a function definition is called a decorator.
Usually, the inner function of a decorator should return the value of the (last) call to the argument function.
def return_twice_doer(f):
"""Return a new function which calls f twice"""
def inner(*args,**kwargs):
"""Call a certain function twice"""
f(*args,**kwargs)
return f(*args,**kwargs)
return inner
Python allows @name(arg1,arg2,...)
.
In that case, name
should be a decorator factory.
E.g.
@dec(2)
def printsq(x):
print(x*x)
is equivalent to
thisdec = dec(2)
@thisdec
def printsq(x):
print(x*x)
Note a decorator factory is a function that returns a function that return a function!
@functools.cache
— Memoize up to 100 recent calls to a function.*@classmethod
— Make a method a class method (callable from the class itself, gets class as first argument). E.g. for alternate constructors.@atexit.register
— Make sure this function is called just before the program exits.Note: functools.cache
is new in Python 3.9
Allowed. Each must be on its own line.
@dec1
@dec2
@dec3
def f(x):
"""Function body goes here"""
replaces f
with dec1(dec2(dec3(f)))
.
So the decorator closest to the function name acts first.
*args
and **kwargs
.When preparing an earlier version of this lecture, I reviewed course materials by Danko Adrovic and Jan Verschelde (other MCS instructors).