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    <p>This article about Chinese remainder, fast implementation, can help you : www.codeproject.com/KB/recipes/CRP.aspx</p> <p>This is more links for tools and libraries : </p> <p>Tools:</p> <p>Maxima <a href="http://maxima.sourceforge.net/" rel="nofollow noreferrer">http://maxima.sourceforge.net/</a> Maxima is a system for the manipulation of symbolic and numerical expressions, including differentiation, integration, Taylor series, Laplace transforms, ordinary differential equations, systems of linear equations, polynomials, and sets, lists, vectors, matrices, and tensors. Maxima yields high precision numeric results by using exact fractions, arbitrary precision integers, and variable precision floating point numbers. Maxima can plot functions and data in two and three dimensions. </p> <p>Mathomatic <a href="http://mathomatic.org/math/" rel="nofollow noreferrer">http://mathomatic.org/math/</a> Mathomatic is a free, portable, general-purpose CAS (Computer Algebra System) and calculator software that can symbolically solve, simplify, combine, and compare equations, perform complex number and polynomial arithmetic, etc. It does some calculus and is very easy to use. </p> <p>Scilab www.scilab.org/download/index_download.php Scilab is a numerical computation system similiar to Matlab or Simulink. Scilab includes hundreds of mathematical functions, and programs from various languages (such as C or Fortran) can be added interactively.</p> <p>mathstudio mathstudio.sourceforge.net An interactive equation editor and step-by-step solver. </p> <p>Library:</p> <p>Armadillo C++ Library <a href="http://arma.sourceforge.net/" rel="nofollow noreferrer">http://arma.sourceforge.net/</a> The Armadillo C++ Library aims to provide an efficient base for linear algebra operations (matrix and vector maths) while having a straightforward and easy to use interface. </p> <p>Blitz++ <a href="http://www.oonumerics.org/blitz/" rel="nofollow noreferrer">http://www.oonumerics.org/blitz/</a> Blitz++ is a C++ class library for scientific computing </p> <p>BigInteger C# <a href="http://msdn.microsoft.com/pt-br/magazine/cc163441.aspx" rel="nofollow noreferrer">http://msdn.microsoft.com/pt-br/magazine/cc163441.aspx</a></p> <p>libapmath <a href="http://freshmeat.net/projects/libapmath" rel="nofollow noreferrer">http://freshmeat.net/projects/libapmath</a> Welcome to the homepage of the APMath-project. Aim of this project is the implementation of an arbitrary precision C++-library, that is the most convenient in use, this means all operations are implemented as operator-overloadings, naming is mostly the same as that of .</p> <p>libmat <a href="http://freshmeat.net/projects/libmat" rel="nofollow noreferrer">http://freshmeat.net/projects/libmat</a> MAT is a C++ mathematical template class library. Use this library for various matrix operations, finding roots of polynomials, solving equations, etc. The library contains only C++ header files, so no compilation is necessary.</p> <p>animath <a href="http://www.yonsen.bz/animath/animath.html" rel="nofollow noreferrer">http://www.yonsen.bz/animath/animath.html</a> Animath is a Finite Element Method library entirely implemented in C++. It is suited for fluid-structure interaction simulation, and it is mathematically based on higher-order tetrahedral elements.</p>
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    1. COThanks for interesting libraries but my question was really on a specific problem... The algorithm and math rather than the tools.
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    2. COStill, the list of links seems to be carefully crafted and may be of interest to some. So I don't see why this should be -1, hence I will upvote. People seem too trigger-happy these days.
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