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Create bubblesort python file #8

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@visz11 visz11 commented Jul 15, 2025

Summary by CodeRabbit

  • New Features
    • Introduced multiple sorting algorithms (Bubble Sort, Selection Sort, Insertion Sort) for comparing sorting methods.
    • Added demonstrations of sorting a sample list using both custom algorithms and Python’s built-in sorting methods, with results displayed for easy comparison.

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coderabbitai bot commented Jul 15, 2025

Walkthrough

A new Python script introduces implementations of Bubble Sort, Selection Sort, and Insertion Sort as individual functions. It also demonstrates Python's built-in sorting methods. The script applies each sorting approach to a sample list, printing the sorted results for comparison.

Changes

File(s) Change Summary
sorting_algorithms.py Added implementations for Bubble Sort, Selection Sort, and Insertion Sort. Demonstrated usage of list.sort() and sorted() on a sample list, printing results for each method.

Poem

In a file where numbers leap and twirl,
Three sorts now dance and give a whirl—
Bubble, Selection, Insertion too,
Each shows the order it can do.
Python’s own sort joins the spree,
Sorted lists for all to see!
🐇✨

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Summary of Changes

Hello @visz11, I'm Gemini Code Assist1! I'm currently reviewing this pull request and will post my feedback shortly. In the meantime, here's a summary to help you and other reviewers quickly get up to speed!

This pull request introduces a new utility file containing a Python implementation of the bubble sort algorithm. The primary goal is to provide a foundational sorting example, complete with an early exit optimization and a clear demonstration of its usage.

Highlights

  • New Feature: Bubble Sort Implementation: I've added a new Python file, bubblesort.py, which provides a clear and commented implementation of the bubble sort algorithm.
  • Early Exit Optimization: The bubble_sort function I've implemented includes an optimization to break early if no swaps occur during a pass, indicating the list is already sorted.
  • Example Usage: I've also included a simple example within the file demonstrating the usage of the bubble_sort function with a sample list and prints the results.
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Code Review

This pull request introduces a Python file with a bubble sort implementation. The algorithm itself is correct, but I've provided feedback on improving the code quality. My main suggestions are to adhere to Python's standard style guides (PEP 8 and PEP 257) by adding a docstring and cleaning up whitespace, and more importantly, to wrap the example script execution in an if __name__ == "__main__": block to make the code modular and reusable.

bubblesort.py Outdated
Comment on lines 24 to 32
# Sample list to be sorted
arr = [6,6,2]
print("Unsorted list is:")
print(arr)

bubble_sort(arr)

print("Sorted list is:")
print(arr)

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high

The script's test/example code is executed at the top level of the module. This means that if this file is imported by another module (e.g., import bubblesort), this code will run, which is usually not the desired behavior. It's a standard Python best practice to place such code inside an if __name__ == "__main__": block. This ensures the code only runs when the script is executed directly, making the bubble_sort function reusable.

Suggested change
# Sample list to be sorted
arr = [6,6,2]
print("Unsorted list is:")
print(arr)
bubble_sort(arr)
print("Sorted list is:")
print(arr)
if __name__ == "__main__":
# Sample list to be sorted
arr = [6, 6, 2]
print("Unsorted list is:")
print(arr)
bubble_sort(arr)
print("Sorted list is:")
print(arr)

bubblesort.py Outdated
Comment on lines 1 to 21
def bubble_sort(arr):

# Outer loop to iterate through the list n times
for n in range(len(arr) - 1, 0, -1):

# Initialize swapped to track if any swaps occur
swapped = False

# Inner loop to compare adjacent elements
for i in range(n):
if arr[i] > arr[i + 1]:

# Swap elements if they are in the wrong order
arr[i], arr[i + 1] = arr[i + 1], arr[i]

# Mark that a swap has occurred
swapped = True

# If no swaps occurred, the list is already sorted
if not swapped:
break

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medium

This function has a few style issues that should be addressed to align with Python best practices (PEP 8 for code style and PEP 257 for docstrings):

  • Missing Docstring: The function lacks a docstring explaining its purpose, arguments, and side effects.
  • Trailing Whitespace: Line 7 contains trailing whitespace.
  • Excessive Blank Lines: There are several unnecessary blank lines (e.g., lines 2, 5, 12, 15, 18) that make the code look sparse.

Addressing these will improve the code's readability and maintainability. I've provided a suggestion that fixes these points.

Suggested change
def bubble_sort(arr):
# Outer loop to iterate through the list n times
for n in range(len(arr) - 1, 0, -1):
# Initialize swapped to track if any swaps occur
swapped = False
# Inner loop to compare adjacent elements
for i in range(n):
if arr[i] > arr[i + 1]:
# Swap elements if they are in the wrong order
arr[i], arr[i + 1] = arr[i + 1], arr[i]
# Mark that a swap has occurred
swapped = True
# If no swaps occurred, the list is already sorted
if not swapped:
break
def bubble_sort(arr):
"""Sorts a list in-place using the bubble sort algorithm."""
# Outer loop to iterate through the list n times
for n in range(len(arr) - 1, 0, -1):
# Initialize swapped to track if any swaps occur
swapped = False
# Inner loop to compare adjacent elements
for i in range(n):
if arr[i] > arr[i + 1]:
# Swap elements if they are in the wrong order
arr[i], arr[i + 1] = arr[i + 1], arr[i]
# Mark that a swap has occurred
swapped = True
# If no swaps occurred, the list is already sorted
if not swapped:
break

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refacto-test bot commented Jul 15, 2025

🤖 Refacto.AI: PR Summary & Reviewer Guide

Warning: Requirements context (e.g., linked ticket) was not provided. Analysis is based solely on PR metadata and code diff, which may be incomplete.

🎯 1. The Goal (Why was this PR raised?)

This PR aims to add a new bubble sort implementation in Python. The goal appears to be introducing a basic sorting algorithm, possibly for educational or utility purposes.

🗺️ 2. The Changes (What was implemented?)

This section provides a walkthrough of the changes, connecting them to the PR's goals.

Goal / Requirement Addressed Implementation Details (File & Key Changes)
Add bubble sort implementation "bubblesort.py" (Added):
- Created a bubble_sort() function that implements the bubble sort algorithm with optimization.
- Added a sample usage with a test array [6,6,2] to demonstrate the function.
- Included print statements to show the array before and after sorting.

🤔 3. Key Areas for Human Review

Here are the most important areas to focus your review on, including specific testing instructions.

Area of Concern: Algorithm Optimization

  • File: "bubblesort.py" (Lines 5-19)
  • Why: The implementation includes an optimization flag (swapped) to exit early if no swaps are needed, but the correctness of this optimization should be verified.
  • Testing Instruction: Test the function with various inputs including: already sorted arrays, reverse-sorted arrays, arrays with duplicate values, and empty arrays to ensure the optimization works correctly.

Area of Concern: Test Case Coverage

  • File: "bubblesort.py" (Lines 23-31)
  • Why: The current test case only includes a single small array [6,6,2] with duplicates, which doesn't adequately test the algorithm's performance or correctness.
  • Testing Instruction: Consider adding more comprehensive test cases or converting the example into proper unit tests to verify the algorithm works for edge cases (empty array, single element, already sorted).

Area of Concern: Code Structure

  • File: "bubblesort.py" (entire file)
  • Why: The file mixes implementation with execution code, which may not be ideal if this is intended to be imported as a module in other files.
  • Testing Instruction: Verify whether this implementation should be structured as a standalone script or as a importable module with a if __name__ == "__main__": guard for the example code.

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Actionable comments posted: 3

📜 Review details

Configuration used: CodeRabbit UI
Review profile: CHILL
Plan: Pro

📥 Commits

Reviewing files that changed from the base of the PR and between e184110 and dc674a1.

📒 Files selected for processing (1)
  • bubblesort.py (1 hunks)
🔇 Additional comments (1)
bubblesort.py (1)

3-21: Algorithm implementation is correct.

The bubble sort algorithm is implemented correctly with proper optimization:

  • Outer loop correctly reduces the comparison range after each pass
  • Inner loop performs adjacent element comparisons and swaps
  • Early termination optimization improves performance for nearly sorted lists

bubblesort.py Outdated
Comment on lines 24 to 32
# Sample list to be sorted
arr = [6,6,2]
print("Unsorted list is:")
print(arr)

bubble_sort(arr)

print("Sorted list is:")
print(arr)
Copy link

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🛠️ Refactor suggestion

Wrap demonstration code in a main guard.

The demonstration code should be wrapped in a main guard to prevent execution when the module is imported.

-# Sample list to be sorted
-arr = [6,6,2]
-print("Unsorted list is:")
-print(arr)
-
-bubble_sort(arr)
-
-print("Sorted list is:")
-print(arr)
+if __name__ == "__main__":
+    # Sample list to be sorted
+    arr = [6, 6, 2]
+    print("Unsorted list is:")
+    print(arr)
+    
+    bubble_sort(arr)
+    
+    print("Sorted list is:")
+    print(arr)
📝 Committable suggestion

‼️ IMPORTANT
Carefully review the code before committing. Ensure that it accurately replaces the highlighted code, contains no missing lines, and has no issues with indentation. Thoroughly test & benchmark the code to ensure it meets the requirements.

Suggested change
# Sample list to be sorted
arr = [6,6,2]
print("Unsorted list is:")
print(arr)
bubble_sort(arr)
print("Sorted list is:")
print(arr)
if __name__ == "__main__":
# Sample list to be sorted
arr = [6, 6, 2]
print("Unsorted list is:")
print(arr)
bubble_sort(arr)
print("Sorted list is:")
print(arr)
🤖 Prompt for AI Agents
In bubblesort.py around lines 24 to 32, the demonstration code runs immediately
when the module is imported. To fix this, wrap the demonstration code inside an
if __name__ == "__main__": block. This will ensure the code only executes when
the script is run directly, not when imported as a module.

bubblesort.py Outdated
Comment on lines 1 to 2
def bubble_sort(arr):

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🛠️ Refactor suggestion

Add docstring and input validation.

The function lacks documentation and input validation. Consider adding a docstring to explain the behavior and validating the input parameter.

 def bubble_sort(arr):
+    """
+    Sorts a list in ascending order using the bubble sort algorithm.
+    
+    Args:
+        arr (list): The list to be sorted (modified in-place)
+    
+    Returns:
+        None: The function modifies the input list in-place
+    
+    Raises:
+        TypeError: If arr is not a list
+        ValueError: If arr is None
+    """
+    if arr is None:
+        raise ValueError("Input cannot be None")
+    if not isinstance(arr, list):
+        raise TypeError("Input must be a list")
+    if len(arr) <= 1:
+        return
📝 Committable suggestion

‼️ IMPORTANT
Carefully review the code before committing. Ensure that it accurately replaces the highlighted code, contains no missing lines, and has no issues with indentation. Thoroughly test & benchmark the code to ensure it meets the requirements.

Suggested change
def bubble_sort(arr):
def bubble_sort(arr):
"""
Sorts a list in ascending order using the bubble sort algorithm.
Args:
arr (list): The list to be sorted (modified in-place)
Returns:
None: The function modifies the input list in-place
Raises:
TypeError: If arr is not a list
ValueError: If arr is None
"""
if arr is None:
raise ValueError("Input cannot be None")
if not isinstance(arr, list):
raise TypeError("Input must be a list")
if len(arr) <= 1:
return
🤖 Prompt for AI Agents
In bubblesort.py at lines 1 to 2, the bubble_sort function is missing a
docstring and input validation. Add a docstring that clearly describes the
function's purpose, parameters, and return value. Also, include input validation
to check that the argument is a list and contains comparable elements, raising
appropriate errors if the input is invalid.

bubblesort.py Outdated
Comment on lines 1 to 32
def bubble_sort(arr):

# Outer loop to iterate through the list n times
for n in range(len(arr) - 1, 0, -1):

# Initialize swapped to track if any swaps occur
swapped = False

# Inner loop to compare adjacent elements
for i in range(n):
if arr[i] > arr[i + 1]:

# Swap elements if they are in the wrong order
arr[i], arr[i + 1] = arr[i + 1], arr[i]

# Mark that a swap has occurred
swapped = True

# If no swaps occurred, the list is already sorted
if not swapped:
break


# Sample list to be sorted
arr = [6,6,2]
print("Unsorted list is:")
print(arr)

bubble_sort(arr)

print("Sorted list is:")
print(arr)
Copy link

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⚠️ Potential issue

Fix inconsistent indentation.

The file has inconsistent indentation mixing 2 and 4 spaces. Python PEP 8 recommends using 4 spaces consistently.

 def bubble_sort(arr):
-  
-    # Outer loop to iterate through the list n times
-    for n in range(len(arr) - 1, 0, -1):
-        
-        # Initialize swapped to track if any swaps occur
-        swapped = False  
-
-        # Inner loop to compare adjacent elements
-        for i in range(n):
-            if arr[i] > arr[i + 1]:
-              
-                # Swap elements if they are in the wrong order
-                arr[i], arr[i + 1] = arr[i + 1], arr[i]
-                
-                # Mark that a swap has occurred
-                swapped = True
-        
-        # If no swaps occurred, the list is already sorted
-        if not swapped:
-            break
+    # Outer loop to iterate through the list n times
+    for n in range(len(arr) - 1, 0, -1):
+        # Initialize swapped to track if any swaps occur
+        swapped = False
+
+        # Inner loop to compare adjacent elements
+        for i in range(n):
+            if arr[i] > arr[i + 1]:
+                # Swap elements if they are in the wrong order
+                arr[i], arr[i + 1] = arr[i + 1], arr[i]
+                # Mark that a swap has occurred
+                swapped = True
+        
+        # If no swaps occurred, the list is already sorted
+        if not swapped:
+            break
📝 Committable suggestion

‼️ IMPORTANT
Carefully review the code before committing. Ensure that it accurately replaces the highlighted code, contains no missing lines, and has no issues with indentation. Thoroughly test & benchmark the code to ensure it meets the requirements.

Suggested change
def bubble_sort(arr):
# Outer loop to iterate through the list n times
for n in range(len(arr) - 1, 0, -1):
# Initialize swapped to track if any swaps occur
swapped = False
# Inner loop to compare adjacent elements
for i in range(n):
if arr[i] > arr[i + 1]:
# Swap elements if they are in the wrong order
arr[i], arr[i + 1] = arr[i + 1], arr[i]
# Mark that a swap has occurred
swapped = True
# If no swaps occurred, the list is already sorted
if not swapped:
break
# Sample list to be sorted
arr = [6,6,2]
print("Unsorted list is:")
print(arr)
bubble_sort(arr)
print("Sorted list is:")
print(arr)
def bubble_sort(arr):
# Outer loop to iterate through the list n times
for n in range(len(arr) - 1, 0, -1):
# Initialize swapped to track if any swaps occur
swapped = False
# Inner loop to compare adjacent elements
for i in range(n):
if arr[i] > arr[i + 1]:
# Swap elements if they are in the wrong order
arr[i], arr[i + 1] = arr[i + 1], arr[i]
# Mark that a swap has occurred
swapped = True
# If no swaps occurred, the list is already sorted
if not swapped:
break
# Sample list to be sorted
arr = [6, 6, 2]
print("Unsorted list is:")
print(arr)
bubble_sort(arr)
print("Sorted list is:")
print(arr)
🤖 Prompt for AI Agents
In bubblesort.py from lines 1 to 32, the code uses inconsistent indentation with
a mix of 2 and 4 spaces. To fix this, update all indentation to use 4 spaces
consistently throughout the entire file, following Python PEP 8 style
guidelines.

@arvi18
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arvi18 commented Jul 15, 2025

/refacto-test

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refacto-test bot commented Jul 15, 2025

Refacto is reviewing this PR. Please wait for the review comments to be posted.

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arvi18 commented Jul 15, 2025

/refacto-test

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refacto-test bot commented Jul 15, 2025

PR already reviewed at the latest commit: dc674a1.
Please try again with new changes.

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arvi18 commented Jul 15, 2025

/refacto-test

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Actionable comments posted: 0

🧹 Nitpick comments (1)
sorting_algorithms.py (1)

55-89: Well-structured demonstration code with room for optional enhancements.

The sample usage effectively demonstrates all sorting algorithms with proper list copying and clear output formatting.

Consider these optional improvements:

  • Add type hints: def bubble_sort(arr: list[int]) -> None:
  • Add input validation for edge cases (empty lists, None values)
  • Include performance timing comparisons for educational purposes
+from typing import List
+
 def bubble_sort(arr):
+def bubble_sort(arr: List[int]) -> None:
     """
     Performs in-place Bubble Sort on a list.
     Stops early if no swaps occur in a pass.
     """
+    if not arr:
+        return
     n = len(arr)
📜 Review details

Configuration used: CodeRabbit UI
Review profile: CHILL
Plan: Pro

📥 Commits

Reviewing files that changed from the base of the PR and between dc674a1 and 5b3d6c3.

📒 Files selected for processing (1)
  • sorting_algorithms.py (1 hunks)
🔇 Additional comments (4)
sorting_algorithms.py (4)

1-9: Excellent documentation and file structure.

The file header provides a clear overview of the implemented algorithms and sets appropriate expectations for the script's functionality.


11-25: Correct bubble sort implementation with optimization.

The bubble sort algorithm is properly implemented with the early termination optimization. The nested loop structure, swapping logic, and boundary conditions are all correct.


27-39: Correct selection sort implementation.

The selection sort algorithm is properly implemented with correct logic for finding the minimum element and placing it in the appropriate position.


41-53: Correct insertion sort implementation.

The insertion sort algorithm is properly implemented with correct element shifting logic and proper placement of the key element.


# Sample input
original = [6, 6, 2]

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Code Organization: The demonstration code at the end of the file will execute whenever the module is imported, which could cause unintended side effects. Wrap this code in an if __name__ == "__main__": block to ensure it only runs when the script is executed directly.


# Sample input
original = [6, 6, 2]

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Testing Coverage: The test case uses only a very small array [6, 6, 2]. Consider adding more comprehensive test cases including empty arrays, already sorted arrays, reverse sorted arrays, arrays with all identical elements, and larger arrays to better demonstrate performance differences between algorithms.


def bubble_sort(arr):
"""
Performs in-place Bubble Sort on a list.
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Input Validation: None of the sorting functions validate their inputs. Consider adding basic validation to handle edge cases such as None inputs or non-list inputs:

if arr is None:
    raise ValueError("Input cannot be None")
if not isinstance(arr, list):
    raise TypeError("Input must be a list")

@visz11
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visz11 commented Jul 16, 2025

/refacto-test

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refacto-test bot commented Jul 16, 2025

Warning: Requirements context (e.g., linked ticket) was not provided. Analysis is based solely on PR metadata and code diff, which may be incomplete.

🤖 Refacto.AI: PR Summary & Reviewer Guide

🎯 1. The Goal (Why was this PR raised?)

This PR aims to create a new Python file that implements and demonstrates various sorting algorithms, with a primary focus on bubble sort as indicated in the PR title. The technical scope involves adding a new file with implementations of bubble sort, selection sort, insertion sort, and comparisons with Python's native sorting methods.

🗺️ 2. The Changes (What was implemented?)

Goal / Requirement Addressed Implementation Details (File & Key Changes)
Create sorting algorithms implementation sorting_algorithms.py (Added):
- Added implementation of bubble_sort() function with early stopping optimization when no swaps occur in a pass.
- Added implementation of selection_sort() function that repeatedly selects minimum elements.
- Added implementation of insertion_sort() function that builds the sorted array one item at a time.
- Added demonstration code that compares all implemented sorting algorithms with Python's native sort() and sorted() methods using a sample input [6, 6, 2].
- Added docstrings for each function explaining the algorithm's behavior.

🤔 3. Key Areas for Human Review

Area of Concern: Algorithm Correctness

  • File: sorting_algorithms.py (Lines 12-26)
  • Why: The bubble sort implementation is the primary focus of the PR as mentioned in the title. It's important to verify its correctness, especially with the early stopping optimization.
  • Testing Instruction: Test the bubble sort function with various inputs including: an already sorted array, a reverse-sorted array, an array with duplicate values, and an empty array to ensure correct behavior in all cases.

Area of Concern: Edge Case Handling

  • File: sorting_algorithms.py (All sorting functions)
  • Why: None of the implemented sorting functions appear to have explicit checks for edge cases like empty arrays or single-element arrays.
  • Testing Instruction: Test all three sorting functions with an empty array [] and a single-element array [1] to verify they handle these edge cases correctly without errors.

Area of Concern: Test Coverage

  • File: sorting_algorithms.py (Lines 65-88)
  • Why: The demonstration code only tests with a single small array [6, 6, 2], which may not be sufficient to verify the algorithms work correctly for all cases.
  • Testing Instruction: Consider whether more comprehensive testing is needed, possibly with larger arrays, edge cases, or a proper test framework instead of print statements.

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refacto-test bot commented Jul 16, 2025

Refacto is reviewing this PR. Please wait for the review comments to be posted.

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visz11 commented Jul 18, 2025

/refacto-test

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refacto-test bot commented Jul 18, 2025

🤖 Refacto.AI: PR Summary & Reviewer Guide

Warning: Requirements context (e.g., linked ticket) was not provided. Analysis is based solely on PR metadata and code diff, which may be incomplete.

🎯 1. The Goal (Why was this PR raised?)

This PR aims to create a new Python file that implements and demonstrates various sorting algorithms, with a primary focus on bubble sort as indicated by the PR title. The implementation includes comparison between different sorting approaches.

🗺️ 2. The Changes (What was implemented?)

This section provides a walkthrough of the changes, connecting them to the PR's goals.

File Name Implementation Details Goal / Requirement Addressed
sorting_algorithms.py (Added) - Added implementation of bubble_sort algorithm with early stopping optimization
- Added implementation of selection_sort algorithm
- Added implementation of insertion_sort algorithm
- Added demonstration code that compares all implemented sorting algorithms with Python's built-in sorting functions
- Added docstrings explaining each algorithm's approach
Create sorting algorithms implementation with focus on bubble sort

🤔 3. Key Areas for Human Review

Here are the most important areas to focus your review on, including specific testing instructions.

Area of Concern: Bubble Sort Implementation

  • File: sorting_algorithms.py (Lines 12-24)
  • Why: This is the primary focus of the PR as mentioned in the title. The implementation includes an optimization to stop early if no swaps occur in a pass.
  • Testing Instruction: Test the bubble_sort function with edge cases such as an empty list, a single element list, an already sorted list, and a reverse-sorted list to verify the early stopping optimization works correctly.

Area of Concern: Algorithm Correctness

  • File: sorting_algorithms.py (Lines 12-43)
  • Why: The file implements three different sorting algorithms that need to produce correct results in all cases.
  • Testing Instruction: Test all three sorting functions with various inputs including lists with duplicate values, negative numbers, and edge cases to ensure they all produce correctly sorted results.

Area of Concern: Demo Code Functionality

  • File: sorting_algorithms.py (Lines 47-88)
  • Why: The demonstration code uses a very small test case ([6, 6, 2]) which may not sufficiently showcase the algorithms' behavior.
  • Testing Instruction: Run the script and verify that all algorithms produce the same sorted output. Consider modifying the sample input to include a larger, more diverse array to better demonstrate the sorting algorithms' performance.

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visz11 commented Jul 18, 2025

/refacto-test

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refacto-test bot commented Jul 18, 2025

🤖 Refacto.AI: PR Summary & Reviewer Guide

Warning: Requirements context (e.g., linked ticket) was not provided. Analysis is based solely on PR metadata and code diff, which may be incomplete.

🎯 1. The Goal (Why was this PR raised?)

This PR aims to create a new Python script that implements and compares different sorting algorithms. The implementation includes bubble sort, selection sort, insertion sort, and demonstrates Python's native sorting methods.

🗺️ 2. The Changes (What was implemented?)

File Name Implementation Details Goal / Requirement Addressed
sorting_algorithms.py (Added) Created a new Python file that implements three classic sorting algorithms (bubble sort, selection sort, insertion sort) and demonstrates their usage alongside Python's built-in sorting methods. The file includes docstrings explaining each algorithm and a sample execution with a test array. Implement sorting algorithm comparison script

🤔 3. Key Areas for Human Review

Area of Concern: Algorithm Implementation Correctness

  • File: sorting_algorithms.py (Lines 11-50)
  • Why: These functions implement fundamental sorting algorithms that need to be correct to serve their educational/demonstration purpose.
  • Testing Instruction: Verify each algorithm's implementation against standard definitions. Test with edge cases like empty arrays, arrays with duplicate values, and already-sorted arrays to ensure they work correctly.

Area of Concern: Early Termination Optimization

  • File: sorting_algorithms.py (Lines 11-23)
  • Why: The bubble sort implementation includes an optimization to terminate early if no swaps occur in a pass, which is a key efficiency improvement for this algorithm.
  • Testing Instruction: Test the bubble sort with an already-sorted array and verify it terminates after a single pass through the data.

Area of Concern: Test Case Coverage

  • File: sorting_algorithms.py (Lines 54-88)
  • Why: The current test case only uses a small array [6, 6, 2] which doesn't fully demonstrate the algorithms' behavior with larger or more varied inputs.
  • Testing Instruction: Consider adding more comprehensive test cases with larger arrays and edge cases to better demonstrate the performance characteristics of each algorithm.

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