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CLISP is a portable ANSI Common Lisp implementation and development environment by Bruno Haible. Interpreter, compiler, debugger, CLOS, MOP, FFI, Unicode, sockets, CLX. UI in English, German, French, Spanish, Dutch, Russian, and Danish.
mcrypt, and the accompanying libmcrypt, are intended to be replacements for the old Unix crypt, except that they are under the GPL and support an ever-wider range of algorithms and modes.
libNT is a Number Theory Library which is based on a BigInteger Class. It will contain several algorithms for solving Number Theory Problems. Written in the IDE Code::Blocks
Matho is a OS Independant Application and API for mathematical operations, features include curve sketching, calculus, iterative formulae, algebra solver, 2d/3d geometry and mechanical and statistical functionality.
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The Wolfram Machine project is an effort to create a set of documentation and useful modules (both hardware and software) for a computing architecture based on the mathematical theories presented in Steven Wolfram's book _A_New_Kind_of_Science_.
This STL-like C++ library contains classes for long integer numbers processing with using of assembler functions as a backend. Lazy evaluation is also used for optimization. It also contains generic implementation of classical number-theory algorithms.