Python High-Order Functions
As you move deeper into Python programming, you will come across concepts that make programs more flexible, reusable, and easier to organize. One such concept is the High-Order Function in Python. High-order functions allow functions to be treated like other Python objects, which means they can be assigned to variables, passed as arguments, and returned from other functions.
In this tutorial, we will understand what high-order functions are, their important properties, and different ways to implement them in Python with simple examples.
Table of Contents

Prerequisites
Before learning high-order functions, it is helpful to have a basic understanding of the following Python concepts:
- Python functions
- Function parameters
- Python objects
- Python decorators
What are High-Order Functions in Python?
A high-order function is a function that works with another function. In Python, a function is considered a high-order function when it does at least one of the following:
- Accepts another function as an argument.
- Returns another function as its result.
Python treats functions as first-class objects. Because of this, functions can be assigned to variables, passed to other functions, returned from functions, and stored inside data structures.
This makes high-order functions useful when you want to create flexible and reusable program logic.
Properties of High-Order Functions in Python
High-order functions have several important properties that make them useful in Python programming.
1. Functions Can Be Assigned to Variables
A function can be assigned to a variable, and that variable can then be used to call the same function.
2. Functions Are Objects
Python functions are objects, so they can be handled in many of the same ways as other objects in the language.
3. Functions Can Return Other Functions
A function can create another function and return it as its result. This is useful when creating dynamic or nested functionality.
4. Functions Can Be Passed as Parameters
One function can receive another function as an argument and execute it when required.
5. Functions Can Be Stored in Data Structures
Functions can also be stored in structures such as lists and dictionaries, allowing programs to select and execute functions dynamically.
How to Define High-Order Functions in Python
There are several ways to work with high-order functions in Python. The main approaches covered in this tutorial are:
- Using functions as objects
- Passing functions as parameters
- Returning functions as results
- Using decorators
Let’s understand each approach with an example.
1. Using Functions as Objects
Python treats functions as first-class objects. This means a function can be assigned to another variable without immediately calling it.
Example
# Function to convert text to uppercase
def spell(text):
return text.upper()
# Assigning the function to a variable
scream = spell
# User input
text = input("Enter a text to convert to uppercase: ")
# Calling the original function
print(spell(text))
# Calling the function through the assigned variable
print(scream(text))
Output
Enter a text to convert to uppercase: Python
PYTHON
PYTHON
Explanation
The spell() function converts the supplied text into uppercase using the upper() method.
The statement below assigns the function object to another variable:
scream = spell
Notice that parentheses are not used after spell. This means the function itself is assigned to scream rather than calling the function immediately.
As a result, both spell(text) and scream(text) execute the same function and produce the same output.
2. Passing Functions as Parameters
Because functions are objects in Python, one function can be passed to another function as an argument. The receiving function can then execute the function that was supplied to it.
Example
# Function to convert text to uppercase
def scream(word):
return word.upper()
# Function to convert text to lowercase
def whisper(word):
return word.lower()
# High-order function accepting another function
def speak(func):
message = func("Welcome to the world of Python!")
print(message)
# Calling with different functions
speak(scream)
speak(whisper)
Output
WELCOME TO THE WORLD OF PYTHON!
welcome to the world of python!
Explanation
Here, scream() converts text to uppercase, while whisper() converts text to lowercase.
The speak() function accepts another function through its func parameter:
def speak(func):
When speak(scream) is called, the scream function is passed to speak(). The statement below then executes it:
message = func("Welcome to the world of Python!")
The same speak() function can work with whisper() as well. This demonstrates how high-order functions can make code more flexible.
3. Returning Functions as Results
A high-order function can also return another function. This technique is useful when a function needs to create behavior dynamically.
Example
# Function returning another function
def adder(a):
def addition(b):
return a + b
return addition
# User input
x = int(input("Enter the first number: "))
y = int(input("Enter the second number: "))
# Getting the returned function
add = adder(x)
# Using the returned function
result = add(y)
print(f"The sum of {x} and {y} is {result}.")
Output
Enter the first number: 10
Enter the second number: 20
The sum of 10 and 20 is 30.
Explanation
The adder() function accepts one value, a. Inside it, another function called addition() is created.
def addition(b):
return a + b
The inner function uses the value of a and another value supplied through b. The inner function is then returned:
return addition
When adder(x) is executed, the returned function is assigned to add. Calling add(y) then produces the sum of the two numbers.
4. Decorators as High-Order Functions
Decorators are one of the most common applications of high-order functions in Python. A decorator can modify or extend the behavior of an existing function without changing the original function’s implementation.
Example
# Decorator function
def decorator(func):
def wrapper():
print("Before the function call")
func()
print("After the function call")
return wrapper
# Original function
def greet():
print("Hello, Python decorators!")
# Wrapping the function with the decorator
greet = decorator(greet)
# Calling the decorated function
greet()
Output
Before the function call
Hello, Python decorators!
After the function call
Explanation
The decorator() function accepts another function as an argument. Inside it, a new function named wrapper() is created.
The wrapper executes some statements before and after calling the original function:
print("Before the function call")
func()
print("After the function call")
The decorator returns the wrapper function. The statement:
greet = decorator(greet)
replaces the original greet reference with the decorated version. When greet() is called, the additional behavior is executed around the original function.
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Why Are High-Order Functions Useful?
High-order functions provide a flexible way to organize Python programs. Since functions can be passed around like objects, the same function can work with different operations without rewriting the main logic.
They are particularly useful for creating reusable functionality and are an important concept behind several Python programming techniques, including decorators and other function-based programming patterns.
Frequently Asked Questions
1. What is a high-order function in Python?
A high-order function is a function that accepts another function as an argument, returns a function, or does both.
2. Are functions objects in Python?
Yes. Python treats functions as first-class objects, allowing them to be assigned to variables, passed as arguments, returned, and stored in data structures.
3. Can a function be passed as an argument in Python?
Yes. A function can be passed to another function as an argument without calling it first.
4. Can a Python function return another function?
Yes. A function can define or access another function and return that function as its result.
5. Are decorators high-order functions?
Yes. Decorators commonly accept a function, modify or extend its behavior, and return another function.
6. Why use high-order functions?
They make programs more flexible and reusable because the same function can work with different functions supplied as arguments.
7. Can functions be stored in a list?
Yes. Since functions are objects, they can be stored in Python data structures such as lists and dictionaries.
8. What is the difference between passing a function and calling a function?
When a function is passed without parentheses, the function object itself is provided. Adding parentheses calls the function and passes its returned result instead.
Conclusion
High-order functions in Python are an important concept that demonstrates the flexibility of Python functions. Functions can be assigned to variables, passed as parameters, returned from other functions, and stored in data structures.
In this tutorial, we explored four approaches: using functions as objects, passing functions as parameters, returning functions, and using decorators. Understanding these techniques makes it easier to write flexible and reusable Python programs and provides a strong foundation for working with more advanced function-based programming concepts.
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