BT

.NET Scientific Computing with Meta Numerics

by Abel Avram on Apr 09, 2009 |

Meta Numerics is a .NET library for scientific computations offering support for complex numbers, matrixes, advanced functions and statistical operations.

Complex Numbers

The library supports complex numbers and 12 related arithmetic operations including advanced functions like: Gamma, Faddeeva and Riemann Zeta.

Matrixes

Meta Numerics permits the following computations with generic and square matrixes:

Operation Generic Square
Arithmetic

Y

Y

Decomposition  

Y

Determinant  

Y

Inverse  

Y

Eigenvalues and Eigenvectors  

Y

Advanced Functions

The library also contains the following advanced functions: Gamma, Psi, Beta, Incomplete Gamma, Incomplete Beta, Erf, Fresnel, Integrals, Exponential Integrals, Cylindrical Bessel J and Y, Spherical Bessel j and y, Reimann Zeta, Hermite H, Laguerre L, Legendre P, Chebyshev T.

Statistics and Analysis

The library allows to perform a large number of tests on data including t-tests, Mann-Whitney, F-Tests, Kolmogorov-Smirnov, Kuiper, Pearson's R, Spearman's R and Kendall's τ.  It also can be used for regressions “including fitting to a constant, fitting to a line, and fitting to aribitrary, parameterized functions. All fits return a χ2 statistic and error bars on all parameters.”. Distributions: “Uniform, Normal, Exponential, χ2, t, F, and Kolmogorov-Smirnov. You can easily obtain PDF values, CDF values, arbitrary central and raw moments, and probit values.” Analysis of “contingency tables using odds ratios, χ2 tests, Fisher exact tests”. Others.

The library can be downloaded from CodePlex under Microsoft Public License (Ms-PL).

Hello stranger!

You need to Register an InfoQ account or to post comments. But there's so much more behind being registered.

Get the most out of the InfoQ experience.

Tell us what you think

Allowed html: a,b,br,blockquote,i,li,pre,u,ul,p

Email me replies to any of my messages in this thread

Matrix representation by C Curl

A quick comment on the matrix implementation.

You should seriously consider using a one-dimensional array to represent the matrices (and index this through offsets), otherwise it would be difficult to use the library for more than the very simplest problems. There's a ton of literature you can find on this.

Multi-dimensional (or jagged arrays) are very textbook, but have terrible performance characteristics for pretty much every matrix operation, and especially so for matrix multiplication. By itself you should expect a performance improvement up to an order of magnitude for matrices with more than a few hundred rows/cols, but it also opens up other avenues that can give it another 10x boost.

It's a bit more work to implement, but you can find some good examples of this in e.g. the Java CERN Colt library. Worth benchmarking against this first though.

Re: Matrix representation by David Wright

C Curl: Thanks for the suggestion. I have created a bug to track this issue. Please feel free to create others or use the discussion forum to bring up issues. Thanks for giving Meta.Numerics a look.

Abel: Thanks for publicizing Meta.Numerics.

Other Open Source .NET scientific libraries: ILNumerics and dnAnalytics by Alex Buer

Nice to see more choice among open source .NET scientific libraries; other libraries include:

ILNumerics is a LGPL .NET library with support for linear algebra, complex, and import/export of MATLAB files. It also includes a GPL library for visualization.

dnAnalytics is a Microsoft Public License .NET library with support for sparse matrices, statistics and a F#-friendly syntax.

Allowed html: a,b,br,blockquote,i,li,pre,u,ul,p

Email me replies to any of my messages in this thread

Allowed html: a,b,br,blockquote,i,li,pre,u,ul,p

Email me replies to any of my messages in this thread

3 Discuss

Educational Content

General Feedback
Bugs
Advertising
Editorial
InfoQ.com and all content copyright © 2006-2013 C4Media Inc. InfoQ.com hosted at Contegix, the best ISP we've ever worked with.
Privacy policy
BT