| 1 | %%% -*-latex-*- |
| 2 | |
| 3 | \chapter{Multiprecision arithmetic} |
| 4 | \label{chap:mp} |
| 5 | |
| 6 | Most public-key cryptographic systems, and some other cryptographic |
| 7 | primitives, require arithmetic on large numbers. Catacomb provides a |
| 8 | reasonably efficient library of arithmetic functions, designed particularly |
| 9 | for cryptographic applications. |
| 10 | |
| 11 | |
| 12 | \section{Structure of the Catacomb multiprecision library} |
| 13 | |
| 14 | The multiprecision routines in Catacomb are divided into a number of |
| 15 | logically separate units: |
| 16 | |
| 17 | \begin{itemize*} |
| 18 | \item Very low-level unsigned arithmetic (\unit{mpx}). |
| 19 | \item Memory management support and allocation hooks (\unit{mparena}). |
| 20 | \item Standard operations on signed multiprecision integers (\unit{mp}). |
| 21 | \item I/O support for multiprecision integers (\unit{mptext}, \unit{mpint}). |
| 22 | \item Number-theoretic algorithms and functions (\unit{mpcrt}). |
| 23 | \item Modular multiplication and exponentiation functions (\unit{mpmont}). |
| 24 | \item Prime number searching and testing (\unit{pgen}, \unit{rabin}). |
| 25 | \end{itemize*} |
| 26 | |
| 27 | \input{mp-mpx} |
| 28 | \input{mp-mp} |
| 29 | \input{mp-mod} |
| 30 | |
| 31 | %%% Local Variables: |
| 32 | %%% mode: latex |
| 33 | %%% TeX-master: "catacomb" |
| 34 | %%% End: |