The Euclidean definition of the functions div and mod

```@article{Boute1992TheED,
title={The Euclidean definition of the functions div and mod},
author={Raymond T. Boute},
journal={ACM Trans. Program. Lang. Syst.},
year={1992},
volume={14},
pages={127-144}
}```
• R. Boute
• Published 1 April 1992
• Computer Science
• ACM Trans. Program. Lang. Syst.
The definitions of the functions div and mod in the computer science literature and in programming languages are either similar to the Algol of Pascal definition (which is shown to be an unfortunate choice) or based on division by truncation (T-definition) or division by flooring as defined by Knuth (F-definition). The differences between various definitions that are in common usage are discussed, and an additional one is proposed, which is based on Euclid's theorem and therefore is called the…

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