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feat(bit-manipulation): sum two integers#183

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BrianLusina merged 4 commits intomainfrom
feat/bit-manipulation
Mar 1, 2026
Merged

feat(bit-manipulation): sum two integers#183
BrianLusina merged 4 commits intomainfrom
feat/bit-manipulation

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@BrianLusina BrianLusina commented Mar 1, 2026

Describe your change:

Sum two integers without using + operator

  • Add an algorithm?
  • Fix a bug or typo in an existing algorithm?
  • Documentation change?

Checklist:

  • I have read CONTRIBUTING.md.
  • This pull request is all my own work -- I have not plagiarized.
  • I know that pull requests will not be merged if they fail the automated tests.
  • This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms.
  • All new Python files are placed inside an existing directory.
  • All filenames are in all lowercase characters with no spaces or dashes.
  • All functions and variable names follow Python naming conventions.
  • All function parameters and return values are annotated with Python type hints.
  • All functions have doctests that pass the automated testing.
  • All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation.
  • If this pull request resolves one or more open issues then the commit message contains Fixes: #{$ISSUE_NO}.

Summary by CodeRabbit

  • New Features

    • Added a bitwise implementation for summing two integers without using arithmetic operators, with 32-bit handling.
  • Documentation

    • Added a comprehensive guide explaining the bitwise addition technique, carry propagation, two’s‑complement overflow handling and complexity notes.
  • Tests

    • Added parameterised tests covering positive, negative and edge-case integer pairs to validate the implementation.

@BrianLusina BrianLusina self-assigned this Mar 1, 2026
@BrianLusina BrianLusina added Algorithm Algorithm Problem Bit Manipulation Bit Manipulation Math labels Mar 1, 2026
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coderabbitai bot commented Mar 1, 2026

Caution

Review failed

The pull request is closed.

ℹ️ Recent review info

Configuration used: Organization UI

Review profile: CHILL

Plan: Pro

📥 Commits

Reviewing files that changed from the base of the PR and between 3298d46 and 1e3291d.

📒 Files selected for processing (2)
  • bit_manipulation/sum_two_integers/__init__.py
  • bit_manipulation/sum_two_integers/test_sum_of_two_integers.py

📝 Walkthrough

Walkthrough

Adds a new bit-manipulation solution: two functions that sum integers using bitwise operations (no +/−), a README explaining the 32-bit XOR/AND approach and two's complement handling, an entry in DIRECTORY.md, and parameterised unit tests for both implementations.

Changes

Cohort / File(s) Summary
Index / Documentation
DIRECTORY.md, bit_manipulation/sum_two_integers/README.md
Inserted a new "Sum Two Integers" index entry and added a comprehensive README describing the XOR-based sum, AND-based carry propagation, 32-bit masking, two's complement handling, and complexity notes.
Implementation
bit_manipulation/sum_two_integers/__init__.py
Added two public functions integer_addition and integer_addition_2 that compute a+b using iterative bitwise XOR and carry propagation with a 32-bit mask and signed interpretation.
Tests
bit_manipulation/sum_two_integers/test_sum_of_two_integers.py
Added parameterised unittest TestCase validating both implementations across positive, negative and edge case input tuples.

Estimated code review effort

🎯 3 (Moderate) | ⏱️ ~20 minutes

Possibly related PRs

Suggested labels

Documentation

Poem

🐇 I counted bits beneath moonlight bright,
XOR for sum and AND for the plight,
Thirty-two lanes where carries dance,
Two's complement gives negatives a chance,
Hooray — a rabbit's hop for bitwise romance! 🥕

🚥 Pre-merge checks | ✅ 2 | ❌ 1

❌ Failed checks (1 warning)

Check name Status Explanation Resolution
Docstring Coverage ⚠️ Warning Docstring coverage is 0.00% which is insufficient. The required threshold is 80.00%. Write docstrings for the functions missing them to satisfy the coverage threshold.
✅ Passed checks (2 passed)
Check name Status Explanation
Title check ✅ Passed The title clearly and specifically describes the main change: adding an algorithm to sum two integers using bitwise operations, which is the primary objective of the pull request.
Description check ✅ Passed The description follows the required template structure with a clear change description and a comprehensive checklist. Almost all checklist items are marked as completed, with only one optional item (Fixes issue reference) left unchecked.

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  • Commit unit tests in branch feat/bit-manipulation

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Actionable comments posted: 2

🧹 Nitpick comments (1)
bit_manipulation/sum_two_integers/__init__.py (1)

1-36: Reduce implementation drift between the two public functions.

integer_addition and integer_addition_2 duplicate the same algorithm, and their boundary logic has already diverged. Prefer a shared internal helper and delegate both public APIs to it.

🤖 Prompt for AI Agents
Verify each finding against the current code and only fix it if needed.

In `@bit_manipulation/sum_two_integers/__init__.py` around lines 1 - 36, Both
public functions integer_addition and integer_addition_2 implement the same
bitwise-add algorithm but diverge in boundary logic and duplicate code; refactor
by extracting a single internal helper (e.g. _integer_addition_impl(a: int, b:
int) -> int) that contains the canonical loop, mask and max_int definitions,
consistent carry handling ((a & b) << 1) & mask, and the same final
two's-complement check (use <= max_int or < max_int consistently), then have
integer_addition and integer_addition_2 simply delegate to that helper (preserve
their public signatures and return types).
🤖 Prompt for all review comments with AI agents
Verify each finding against the current code and only fix it if needed.

Inline comments:
In `@bit_manipulation/sum_two_integers/__init__.py`:
- Around line 20-25: The condition in integer_addition misclassifies the signed
max boundary (0x7FFFFFFF); change the check from "a < max_int" to "a <= max_int"
so that when a equals max_int the function returns a directly instead of
computing two's-complement; keep the existing two's-complement branch using mask
and ~(a ^ mask) for values above max_int.

In `@bit_manipulation/sum_two_integers/test_sum_of_two_integers.py`:
- Around line 5-11: Update the shared test dataset
SUM_OF_TWO_INTEGERS_TEST_CASES to include signed 32-bit boundary cases: add
pairs exercising INT_MAX (2147483647) and INT_MIN (-2147483648) such as
(2147483647, 0, 2147483647), (-2147483648, 0, -2147483648), (2147483647, 1,
-2147483648) and (-2147483648, -1, 2147483647) so the suite validates
overflow/sign handling for the sum_two_integers logic; ensure these tuples
follow the existing (a, b, expected) format in SUM_OF_TWO_INTEGERS_TEST_CASES.

---

Nitpick comments:
In `@bit_manipulation/sum_two_integers/__init__.py`:
- Around line 1-36: Both public functions integer_addition and
integer_addition_2 implement the same bitwise-add algorithm but diverge in
boundary logic and duplicate code; refactor by extracting a single internal
helper (e.g. _integer_addition_impl(a: int, b: int) -> int) that contains the
canonical loop, mask and max_int definitions, consistent carry handling ((a & b)
<< 1) & mask, and the same final two's-complement check (use <= max_int or <
max_int consistently), then have integer_addition and integer_addition_2 simply
delegate to that helper (preserve their public signatures and return types).

ℹ️ Review info

Configuration used: Organization UI

Review profile: CHILL

Plan: Pro

📥 Commits

Reviewing files that changed from the base of the PR and between b3facec and 3298d46.

⛔ Files ignored due to path filters (7)
  • bit_manipulation/sum_two_integers/images/solutions/sum_two_integers_solution_1.png is excluded by !**/*.png
  • bit_manipulation/sum_two_integers/images/solutions/sum_two_integers_solution_2.png is excluded by !**/*.png
  • bit_manipulation/sum_two_integers/images/solutions/sum_two_integers_solution_3.png is excluded by !**/*.png
  • bit_manipulation/sum_two_integers/images/solutions/sum_two_integers_solution_4.png is excluded by !**/*.png
  • bit_manipulation/sum_two_integers/images/solutions/sum_two_integers_solution_5.png is excluded by !**/*.png
  • bit_manipulation/sum_two_integers/images/solutions/sum_two_integers_solution_6.png is excluded by !**/*.png
  • bit_manipulation/sum_two_integers/images/solutions/sum_two_integers_solution_7.png is excluded by !**/*.png
📒 Files selected for processing (4)
  • DIRECTORY.md
  • bit_manipulation/sum_two_integers/README.md
  • bit_manipulation/sum_two_integers/__init__.py
  • bit_manipulation/sum_two_integers/test_sum_of_two_integers.py

BrianLusina and others added 2 commits March 1, 2026 13:15
Co-authored-by: coderabbitai[bot] <136622811+coderabbitai[bot]@users.noreply.github.com>
Co-authored-by: coderabbitai[bot] <136622811+coderabbitai[bot]@users.noreply.github.com>
@BrianLusina BrianLusina merged commit 3996b3b into main Mar 1, 2026
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