Mantissa

Mantissa is a software suite that offers an all-encompassing selection of mathematical tools that cater to simulation enthusiasts. The platform offers a bundle of different algorithms, including linear algebra classes, curve fitting classes, ordinary differential equations, integrators (with fixed steps or adaptive step size control), as well as vectors and rotations in a three-dimensional space. The software package is also equipped with algebra-related classes such as rational and double polynomials.

Mantissa offers a range of orthogonal polynomials which comprises Chebyshev, Hermite, Laguerre, and Legendre, as well as a variety of random numbers and vectors generation classes like Robert M. Ziff, four tap shift register (contributed by Bill Maier), and Makoto Matsumoto and Takuji Nishimura Mersenne twister generators for vectors with correlated components.

The software is also accompanied by some basic statistical analysis classes, with optimization algorithms that use direct search methods, such as the Nelder-Mead simplex method and Virginia Torczon's multi-directional method. In the latest release, the platform has fixed an array update error in DummyStepInterpolator that could show up while serializing the interpolator despite having set up the step handler to not use continuous output.

Overall, Mantissa is a robust software suite that offers a broad range of mathematical tools that cater to various simulation enthusiasts. The software is perfect for those who want to explore mathematical simulations and also offers an excellent platform to build upon for more substantial projects.