Methods for Accelerating Conway's Doomsday Algorithm (part 2)

Details Methods for Accelerating Conway's Doomsday Algorithm (part 2) Methods for Accelerating Conway's Doomsday Algorithm (part 2)

2010-10-05

arxiv.org/abs/1010.0765v4

Computer Science

Data Structures and Algorithms

7th International Congress of Industrial and Applied Mathematics (2011)

Scientific paper

We propose a modification of a key component in the Doomsday Algorithm for calculating the day of the week of any calendar date. In particular, we propose to replace the calculation of the required term: \lfloor \frac{x}{12} \rfloor + x \bmod 12 + \lfloor \frac{x \bmod 12}{4} \rfloor with -[ \frac{x+11(x \bmod 2)}{2} + 11 (\frac{x+11(x \bmod 2)}{2}\bmod 2)] \bmod 7 for a 2-digit input year x; Although our expression looks daunting and complicated, we will explain why it is actually easy to calculate mentally.

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