**π‘ Problem Formulation:** In Python, the task of converting a complex number to an integer may arise in situations such as data cleanup or when interfacing with systems that require strictly real integer values. A complex number in Python is represented as ‘`a + bj`

‘, where ‘a’ is the real part and ‘b’ is the imaginary part. In this article, we will explore the conversion of the real part of a complex number to an integer. For example, converting ‘`3+4j`

‘ to ‘`3`

‘.

## Method 1: Using the `int()`

Function

The `int()`

function in Python can convert the real part of a complex number to an integer by first obtaining the real part using the `real`

attribute and then passing it to `int()`

.

Here’s an example:

complex_num = 3 + 4j real_as_int = int(complex_num.real) print(real_as_int)

Output:

3

This code snippet demonstrates the extraction of the real part of a complex number using `complex_num.real`

, which is then converted to an integer with `int()`

.

## Method 2: Truncating with the `int()`

Constructor

Another approach is to truncate the real part of the complex number directly in the `int()`

constructor, eliminating the decimal part without rounding.

Here’s an example:

complex_num = 3.6 + 4.5j # Truncating the real part real_as_int = int(complex_num.real) print(real_as_int)

Output:

3

This snippet shows truncation, which means it will convert the real part ‘3.6’ to ‘3’, ignoring the decimal component.

## Method 3: Using Math Functions for Rounding

Python’s `math`

module provides several functions such as `floor()`

and `ceil()`

to convert real parts to integers with different rounding methods.

Here’s an example:

import math complex_num = 3.6 + 4.5j # Rounding down real_as_int_floor = math.floor(complex_num.real) print(real_as_int_floor) # Rounding up real_as_int_ceil = math.ceil(complex_num.real) print(real_as_int_ceil)

Output:

3 4

This code snippet employs `math.floor()`

to round the real part down to the nearest integer and `math.ceil()`

to round it up to the nearest integer.

## Method 4: Using the `round()`

Function

The built-in `round()`

function can round the real part of the complex number to the nearest integer.

Here’s an example:

complex_num = 3.6 + 4.5j # Rounding to the nearest integer real_as_int_round = round(complex_num.real) print(real_as_int_round)

Output:

4

The `round()`

function rounds the real part ‘3.6’ to the nearest integer, which is ‘4’.

## Bonus One-Liner Method 5: Using a Lambda Function

A lambda function can provide a concise way to perform the conversion in a single line of code.

Here’s an example:

complex_to_int = lambda c: int(c.real) # Example usage real_as_int = complex_to_int(3.6 + 4.5j) print(real_as_int)

Output:

3

This example uses a lambda function to create a small anonymous function that extracts and converts the real part of a complex number into an integer.

## Summary/Discussion

**Method 1:**int() Function. Straightforward and simple. Does not allow for rounding; only truncation.**Method 2:**Truncating with int() Constructor. Direct and concise. Similarly, does not accommodate for rounding.**Method 3:**Math Functions for Rounding. Offers various rounding methods. Requires importing the math module.**Method 4:**round() Function. Provides the most typical type of rounding to the closest integer. Native to Python and easy to use.**Bonus Method 5:**Lambda Function. Extremely compact. Ideal for quick, inline conversions but may be less readable for beginners.