Implement the Bus Factor Algorithm (v0.1) Math

[SHAURYASANYAL3]

🛑 The Problem

We need the actual mathematical business logic to calculate the 'Bus Factor' (the minimum number of developers responsible for 50% of the repository's total commits or lines changed).

💡 The Solution

Write a pure, testable TypeScript function that takes raw commit data and returns the exact integer representing the Bus Factor.

🛠️ Implementation Details

1. Create the function in packages/domain-analytics/src/busFactor.ts.
2. Group the total commits by author.
3. Sum the commits (or lines changed) per author.
4. Sort the authors descending by volume.
5. Iterate through the list, keeping a running tally of commits.
6. The moment the tally exceeds Total Commits / 2, return the current index + 1 as the Bus Factor.

✅ Acceptance Criteria

• The algorithm is mathematically sound.
• Pure function (no database calls inside it).
• 100% unit test coverage for edge cases (e.g., 1 author, 0 authors, perfectly even distribution among 10 authors).

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