Function Definitions (24.1.1) - Function definitions - Data Structures and Algorithms in Python
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Function Definitions

Function Definitions

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Function Arguments

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Teacher
Teacher Instructor

Let's discuss how we pass values to functions in Python. We can substitute values for the arguments when defining the function.

Student 1
Student 1

Is it true that the position of the arguments matters when we do that?

Teacher
Teacher Instructor

Great question! Yes, they do matter, but there's also the option to use keyword arguments which allows you to specify the function call using the names of the parameters.

Student 2
Student 2

So we could call a function with arguments like power(n=5, x=3) instead of just power(3, 5)?

Teacher
Teacher Instructor

Exactly! That's the benefit of keyword arguments; it enhances clarity, especially when a function has many parameters.

Student 3
Student 3

How do positional vs keyword arguments affect the order?

Teacher
Teacher Instructor

Positional arguments must follow the order defined in the function, while keyword arguments can be provided in any order. Remember: Position matters for positional arguments!

Teacher
Teacher Instructor

In summary, using keyword arguments can lead to more readable code by allowing flexibility in how you call your functions.

Default Values in Function Definitions

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Teacher
Teacher Instructor

Now let's discuss default values in function arguments. Python allows us to define default values that take effect when an argument is not provided.

Student 2
Student 2

Can we use dynamic calculations for default values?

Teacher
Teacher Instructor

No, default values must be static and defined when the function is created. They cannot change based on the input at the time the function is called.

Student 4
Student 4

So if I define a function with a default value that relies on the array length, it could break if the array changes?

Teacher
Teacher Instructor

Correct! The default value must not depend on any variable from the function input.

Student 1
Student 1

What about when we provide multiple arguments? How does that work with default values?

Teacher
Teacher Instructor

You must match the positional arguments first, and you can leave the latter arguments as default. Just remember that defaults must always be defined at the end of the argument list.

Teacher
Teacher Instructor

In summary, always keep default values static, and place them at the end of your function argument list.

Reassigning Functions

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Teacher
Teacher Instructor

Let's touch upon how we can assign functions to new names. This can be quite a useful feature in Python.

Student 3
Student 3

Why would we need to assign a function to a new name?

Teacher
Teacher Instructor

It allows us to pass functions around and call them under different contexts, enhancing flexibility—like passing functions as arguments in other functions.

Student 2
Student 2

So if I define a function and then want to use it under another name, I can do that?

Teacher
Teacher Instructor

Yes! Simply assign one function name to another, and it behaves the same way as the original.

Student 4
Student 4

Can I have two names point to the same function at the same time?

Teacher
Teacher Instructor

Absolutely! Just remember that changes to one function name reflect in the other.

Teacher
Teacher Instructor

To summarize, function reassignment in Python is powerful for improving code organization and reuse.

Introduction & Overview

Read summaries of the section's main ideas at different levels of detail.

Quick Overview

This section covers how function definitions work in Python, including argument passing, default values, and function assignment.

Standard

The section explores how values are passed to functions in Python, the flexibility of positional and keyword arguments, the use of default values, and the concept of function reassignment. It highlights practical examples and considerations when defining functions.

Detailed

Function Definitions in Python

In this section, we discuss the mechanics of function definitions in Python, which include how to pass values to functions, the use of positional and keyword arguments, and the handling of default values. When calling functions, Python allows for both positional arguments (where the order matters) and keyword arguments (where the names matter), enabling more flexible function calls. Additionally, we examine default values for function arguments and the implications of using them.

One key point is that default values must be defined in a way that does not depend on the function's input. This means they should remain static when the function is defined, not calculated dynamically at call time. Furthermore, we also look at how functions can be assigned to variables, allowing a level of flexibility and reusability in our code. Lastly, the section includes examples of how functions like sorting can benefit from custom comparison functions, enhancing their versatility.

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Passing Values to Functions

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We have seen that we pass values to functions by substituting values for the argument set when defining the function.
And, this is effectively the same as having an implicit assignment. So, when we say power x n, and we call it values with 3 and 5, then we have this assignment x equal to 3 and n equal to 5. It is not really there, but it is as though, this code is executed by preceding this assignment there and of course, the advantage of calling it as the function is that, we do not have to specify x and n in the function definition; it comes with the call. So, for different values of x and n, we will execute the same code.

Detailed Explanation

In Python, when we create a function, we define parameters that will receive values when the function is called. For example, if we define a function called 'power(x, n)', we can call this function with specific values like 'power(3, 5)'. This call automatically assigns 3 to x and 5 to n, even though we didn’t explicitly write this assignment. This feature allows us to reuse the same function for different pairs of values, making our code cleaner and more efficient.

Examples & Analogies

Think of a function like a coffee machine. You don't need to tell the machine about the type of coffee every time after you set it up. You just press buttons (call the function) with specific choices (values), and the machine gives you different coffees based on the buttons you press.

Named Arguments

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The first thing that python allows us to do flexibly, is to not go by the order; it is not that, the first is x, and the second is n; we can, if you do not remember the order, but we do know the values, the names assigned to them, we can actually call them by using the name of the argument.

Detailed Explanation

Python allows you to call functions using named arguments. This is particularly useful when you need to specify arguments but cannot remember the order they are defined in. For instance, if you have a function 'power(x, n)' and forget the order but remember which values correspond to which argument, you can call it like this: 'power(n=5, x=4)'. This will correctly assign 4 to x and 5 to n regardless of their position in the function definition.

Examples & Analogies

Imagine a restaurant where you order food. Instead of saying 'I'd like one burger and one fries', you can say 'Please get me fries first, and then a burger.' This flexibility makes it easier to specify exactly what you want without worrying about the order.

Default Arguments

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Another nice feature of python is that, it allows some arguments to be left out and implicitly have default values. Recall that, we had defined this type conversion function int of s, which will take a string and try to represent it as an integer, if s is a valid representation of an integer. Now, it turns out that, int is actually not a function of one argument, but two arguments; and the second argument is the base. So, we give it a string and convert it to a number in base b, and if we do not provide b, then, by default b has value 10.

Detailed Explanation

In Python, you can also define functions with default argument values. For instance, the built-in function 'int(s, b=10)' takes a string and converts it to an integer, with the base defaulting to 10 if not specified. This means if you simply call 'int('76')', it will interpret this as 'int('76', 10)'. Default values simplify function calls and make them more flexible as not every argument is always necessary.

Examples & Analogies

Imagine ordering a pizza. If you order the pizza 'with cheese' by default, you don't have to specify 'with cheese' every time. If you want it without cheese, you can say 'pizza, without cheese.' This saves you time and makes ordering easier.

Static Default Values

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But, one thing to remember is that, this default value is something that is supposed to be available when the function is defined. It cannot be something which is calculated, when the function is called.

Detailed Explanation

When using default values in function definitions, these values need to be fixed at the time the function is created, not dynamic values that change during execution. For example, if you define a sorting function that expects a list and sets a default range based on this list, this won't work properly because the range should depend on the list’s length at the time of the call, not when the function was first defined.

Examples & Analogies

Think of buying a subscription. If a service promises that every month you’ll receive a new game, it should be able to guarantee that at the time of signing up, not say 'we might decide based on how many games we have when your payment is processed.' This ensures clarity and avoid surprises later.

Reassigning Function Definitions

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A function definition associates a function body with a name. It says, the name f will be interpreted as a function which takes some arguments and does something. In many ways, python interprets this like any other assignment of a value to a name.

Detailed Explanation

In Python, function definitions can be reassigned, meaning you can change the body of a function during runtime. This is similar to how you can assign different values to any variable. While this flexibility can be powerful, it can also lead to confusion if not managed carefully, particularly for someone trying to understand the purpose of the function at different points in the code.

Examples & Analogies

Consider a toy box where you can change the contents. If kids keep swapping toys in and out, the new kid might get confused about what to play with. It’s essential to keep track of what toys are currently in the box to avoid frustration.

Function Mapping and Flexibility

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Another thing you can do in python, which may seem a bit strange to you, is you can take an existing function, and map it to a new name. So, we can define a function f, which as we said, associates with the name f, the body of this function; at a later stage, we can say g equal to f.

Detailed Explanation

You can assign one function to another name in Python, allowing you to use different names for the same function seamlessly. For example, if you have a function called 'f', you can create a new name 'g' and call 'g' like 'f'. This is useful for simplifying function calls or passing them as arguments to other functions.

Examples & Analogies

Think of it like naming a high school subject. If 'Math' is too formal for you, you might call it 'Numbers Class'. Now, you can use whichever name you prefer with your friends, but either way, you are referring to the same subject.

Practical Use of Function Passing

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One practical use of this is to customize functions such as sort. Sometimes, we need to sort values based on different criteria.

Detailed Explanation

Function passing allows for a level of customization in Python. By defining a comparison function, you can determine how to sort elements differently based on specified criteria. This is powerful because it allows the same sorting function to handle various types of data and sorting logic without needing to redefine it.

Examples & Analogies

Imagine a music playlist that can sort songs by artist, genre, or length. Instead of creating multiple playlists, you just set a rule for sorting based on what you want to listen to at that moment.

Summary of Function Definitions

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To summarize, function definitions behave just like other assignments of values to names. You can reassign a new definition to a function.

Detailed Explanation

In summary, defining functions in Python is versatile and allows for reassignment, named arguments, default parameters, and even function mapping. Understanding these features enables you to write cleaner, more efficient, and adaptable code, allowing for easier debugging and functionality enhancement.

Examples & Analogies

Think of learning a musical instrument. Initially, you might play simple tunes, but as you get better, you can learn to improvise, add different styles, or even teach others. Similarly, mastering functions in programming equips you with tools to adapt and enhance your code.

Key Concepts

  • Positional and Keyword Arguments: Key to flexibility in function calls.

  • Default Values: Allow for more concise function calls, but must be static.

  • Function Reassignment: Enhances reusability of functions.

Examples & Applications

To call a function with x = 3 and n = 5, you can do power(3, 5) or power(n=5, x=3) for clarity.

Using the int() function as int('76') works with base 10 by default, while int('A5', 16) correctly translates it to base 16.

Memory Aids

Interactive tools to help you remember key concepts

🎵

Rhymes

Argument order sure does matter, else the code won't work, just like a pattern.

📖

Stories

Once, there were two friends; one named Positional always had to go first in any race, while Keyword loved to jump to the front, choosing any spot he liked. This made them unique!

🧠

Memory Tools

To remember default values, think D for Default, S for Static; they should not change!

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Acronyms

Remember P.K.D

Position for order

Keyword for flexibility

Default for fallback.

Flash Cards

Glossary

Function Definition

A statement that associates a specific block of code with a function name.

Positional Argument

An argument passed to a function in a specific order that corresponds to the parameter list.

Keyword Argument

An argument passed to a function by explicitly specifying the parameter name.

Default Value

A predefined value assigned to a function parameter, used if no argument is provided.

Function Reassignment

The process of assigning an existing function to a new variable name.

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