This is written for the class CS61A: The Structure and Interpretation of Computer Programs at UC Berkeley.
To understand everything that 61A is trying to teach you, its important to understand the fundamental idea that everything is based on –– how are Python programs executed?
Direct Control Flow#
In the simplest of functions, control simply flows downward.
a = 3 print(a) # prints 3
The reason this works is because the control goes up to down –– 3 is bound to a, and then looked up in line 2. We do this intuitively.
Breaking Control Flow With If#
The first way you learn how to break control is through if. If is known as the “conditional”, because one of many statements is conditionally executed.
if (3 > 4): print("suite 1") # this does not get executed else: print("suite 2") # this gets executed
Try it out yourself in PythonTutor.
As you can see, the control arrow jumps from line 1 to line 3, skipping line 2 entirely. You could add anything to that line, and it won’t error –– because it will never execute.
if (3 > 4): print(1/0) # should throw error but never executed else: print("suite 2") # this gets executed
Breaking Control Flow With While#
Another way we could change the flow of control is to make it go over the same block of code over and over again.
n = 1 while (n < 4): print("Hello") # prints thrice n = n + 1
The fundamental idea behind the loop is to do the same thing over and over again with small changes each time. There are four parts to the loop ––
- the initial assignment (n = 1),
- the iterative condition (while n < 4),
- the execution (printing Hello)
- the updation (n = n + 1).
When we combine all four of these, we get a block of code that operates iteratively.
Breaking Flow Of Control With Functions#
Another, more complicated way, the control flow is broken is through functions. Take this simple example.
def f(x): print("Inside the function") # doesn't get executed return 1/0 # does not error print("Outside the function") # gets executed
Try it out yourself in Python Tutor.
So the function signature (that’s the
def line) is read, but not the function itself. The error inside the function doesn’t execute, nor is the print statement. While the function’s name and number
of arguments are read and saved, the body of the function is not.
Now let’s think about what happens when you call the function.
def f(x): print(a) # is executed return x+1 a = 3 print(f(a)) # prints 4 print(a) # prints 3
First, we bind a function with one argument to f. Then, we bind a to 3. Then, we call f with a (which is 3).
This call takes you out of your “main” control flow, and creates a separate flow. You’ve previously thought about this in terms of a new frame.
In this frame, everything inside of the frame is accessible, and everything in all its parent frames is also accessible. Moreover, anything that gets passed into this frame is a new copy –– the x inside of the function is not the same as the a that is passed in (This idea will grow in importance as the things we pass in get more and more complicated).
def f(x): x = x+1 print(a) # prints 3 return x a = 3 print(f(a)) # prints 4 print(a) # prints 3
As seen, the value a is accessible despite not being in the function’s flow, because it is in the parent flow. Of course, x itself is accessible. Changing x does not change a, because x is an independent copy of a.
The return value ends the function’s frame and leads you back into
the main flow (“global frame”). Even functions that don’t explicitly
have a return value have an implicit
return None statement.
When the function returns to its own frame, it brings a value with it, and normal control flow resumes.
Frames Are Independent Of Each Other#
Consider the following example:
def f(x): a = 4 return x a = 3 print(f(a)) # Print 1 print(a) # Print 2
What do you think will be printed?
You’ll notice that Print 2 will return 3! So what happened to the
a=4 that we defined?
This is the idea of framing. The universe that f(x) operates in is different (but not completely divorced)
from the universe of the main program (the global universe, if you will). The a that is defined in
the function is completely different from the a that is defined before the
function call. That’s right –– there are two different
This is what I mean by “the independence of frames”. That is to say, a different frame has its own defined variables that may have the same name as a parent frame.
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