Karatsuba Multiplication in R#241
Conversation
There was a problem hiding this comment.
Pull Request Overview
Implements Karatsuba multiplication in R with a recursive divide-and-conquer approach and inline usage examples.
- Adds a karatsuba function for integer multiplication.
- Includes inline examples and ad-hoc test cases (currently executed on load).
…n handling, and safe example execution
|
Implemented improvements based on review feedback and Copilot recommendations. Changes made: These updates enhance robustness, numerical reliability, and documentation clarity. |
|
@siriak please have a look |
PR: Karatsuba Multiplication in R
This PR introduces a fully documented implementation of Karatsuba Multiplication in R, a fast recursive algorithm designed for efficient large integer multiplication using the divide-and-conquer approach.
Overview
The
karatsubafunction implements the Karatsuba multiplication algorithm, which optimizes the standard multiplication process by reducing the number of recursive multiplications.Instead of performing four sub-multiplications as in the traditional method, Karatsuba’s algorithm performs only three, significantly improving performance for large numeric values.
This approach is especially beneficial for computations involving big integers or high-precision arithmetic, offering better efficiency without sacrificing accuracy.
Complexity