fastarithmetic is a Python package designed for fast and efficient arithmetic operations on very large numbers. It implements optimized algorithms like Karatsuba multiplication and Newton-Raphson division to provide significantly faster performance than Python's native arithmetic operators.
- Fast Addition: Performs addition of large numbers in O(1) time complexity.
- Fast Subtraction: Performs subtraction of large numbers in O(1) time complexity.
- Optimized Multiplication: Uses the Karatsuba algorithm (O(n^1.58)) for large integer multiplication.
- High-Speed Division: Implements the Newton-Raphson method (O(M(n))) for efficient division.
- Scientific computations with extremely large integers.
- Cryptography where high precision and fast operations are required.
- Big data applications involving large-scale numerical processing.
To install fastarithmetic, run the following command:
pip install fastarithmetic
from fastarithmetic import fast_add, fast_sub, fast_mul, fast_div
a = 987654321987654321987654321
b = 123456789123456789
print("Addition:", fast_add(a, b))
print("Subtraction:", fast_sub(a, b))
print("Multiplication:", fast_mul(a, b))
print("Division:", fast_div(a, b))
Compared to native Python arithmetic, fastarithmetic is optimized for large numbers and provides faster computation for multiplication and division due to the use of advanced algorithms.