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C# Math Library
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C# Math Library

  #1 (permalink)
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C# Math Library

Not quite R or Matlab but...

Does anyone use any of the free or commercially available C# math libraries? On the free front DotNumerics came up in searches after hearing repeated references to LAPACK from some C++ guys.

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  #3 (permalink)
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look for dnanalytics ... you can also google:


Quoting 
2009.8 Features
* Linear algebra classes with support for sparse matrices and vectors (with a F# friendly interface).
* Dense and sparse solvers.
* Probability distributions.
* Random number generation (including Mersenne Twister MT19937).
* QR, LU, SVD, and Cholesky decomposition classes.
* Matrix IO classes that read and write matrices form/to Matlab, Matrix Market, and delimited files.
* Complex and “special” math routines.
* Markov Chain Monte Carlo (MCMC) sampler classes.
* Bayesian estimators.
* Descriptive Statistics, Histogram, and Pearson Correlation Coefficient.
* Overload mathematical operators to simplify complex expressions.
* Visual Studio visual debuggers for matrices and vectors
* Runs under Microsoft® Windows and platforms that support Mono.
* Optional support for Intel®Math Kernel Library (Microsoft® Windows and Linux)


Quoting 
NET Framework Languages C#, F# and VB.NET

  • dnAnalytics is an open-source numerical library for .NET written in C# and F#.
  • DotNumerics is a Numerical Library for .NET written in C#. It provides routines for: Linear Algebra (CSLapack, CSBlas, CSEispack), Differential Equations and Optimization.
  • ILNumerics.Net typesafe numerical array classes and functions for general math and linear algebra, aims .NET/mono, script-like syntax in C#, 2D & 3D plot controls
  • Math.NET is a mathematical open source (MIT/X11, LGPL & GPL) library written in C#/.Net, aiming to provide a self contained clean framework for symbolic algebraic and numerical / scientific computations.
  • Meta.Numerics is a library for advanced scientific computations using the .NET Framework. The Meta.Numerics library is fully object-oriented and optimized for speed of implementation and execution.
  • NMath by CenterSpace Software are numerical component libraries for the .NET platform. The libraries include high performance signal processing (FFT) classes, an extensive linear algebra (LAPACK & BLAS) framework, and a statistics package including descriptive statistics, distributions, ANOVA, and multivariate analysis (NMF, k-means, PCA). Most classes scale with the number of processor cores.[1]
  • SCINET is an object-based high performance Scientific Software Framework for the Microsoft .NET platform. It is purely written in C# programming language and fully compliant with the Microsoft's CLI specification.
  • TA-Lib is widely used by trading software developers requiring to perform technical analysis of financial market data.[2]


Causality is the relationship between an event (the cause) and a second event (the effect), where the second event is a consequence of the first.
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  #4 (permalink)
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i know nothing, but like as henry ford

you need to know anything, just know where it stands

Causality is the relationship between an event (the cause) and a second event (the effect), where the second event is a consequence of the first.
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I use also open project of neural networks, they work well

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Thanks wh. Good stuff I never knew existed. Just something else to learn.

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  #7 (permalink)
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Try using GSL in C#

If you are interested in robust implementation, I would suggest using GSL - it is one of the best open source numeric library that I know of in terms of functions and stability.
PS : it is pretty easy to use GSL dlls in C# with Pinvoke, ample tutorials in the internet

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I've had very good results recently using ALGLIB (ALGLIB). I took their C# files, and merged them into a single file in its own namespace in a dummy NinjaTrader indicator file (in its own namespace so it can be called from strategies also). Easy to do (I didn't modify any alglib code) but I can post my file if anyone is interested, it's licensed under GPL.

The reason I started using it was to speed up things I had been doing in Matlab. I've gone through a lot of work to get NinjaTrader to call compiled Matlab functions, so that I could use Matlab functionality under the NinjaTrader backtesting/datafeed/execution framework. I wanted to avoid porting Matlab code to C#. It worked, but the process was painful on 2 fronts. First problem was getting a particular Matlab routine to work; every routine seems to have different calling conventions, and correctly building the data structures that the Matlab routines want is a painful process.

Even after they work, they are kind of slow for several reasons. Plenty fast for indicators, but I wanted faster for strategy development. I don't know what "compiled matlab" compiles into (I think it's some kind of intermediate code with a C++ wrapper around it and some dotnet interface dlls) but it's not as fast as native code. The Matlab language encourages inefficient programming practices, which is understandable, because their goal is efficient development of algorithms more than efficient execution. And another problem was that I could never make it run multi-threaded (I didn't try really hard but it appears that the Matlab engine isn't thread-safe), so I couldn't use the NT7 optimizer with multiple threads.

So even though it worked, I wasn't terribly satisfied, and I started thinking: I've gone to a heck of a lot of work to avoid porting Matlab code to C#, maybe it would be better to just bite the bullet and port some Matlab code to C# and see how that goes. So I did that this week. I used Alglib mainly for its least squares fit and matrix inverse and multiply routines, but it includes a lot more. I had to write a lot of simple "helper" routines to mimic some matlab functionality (matrix transpose, concatenate, etc). I already had the Matlab routines callable from C#, so it was easy to verify that my transcoded routines worked the same.

I'm quite happy with the results so far. I haven't done a lot of benchmarking but one of my backtests runs almost 3x faster, and there's a lot more going on the just the numerics, so the speedup of the numeric routines must be a lot more than that. That gain is multiplied because I can now run multiple threads in the optimizer, which I couldn't do at all before. So running strategies that use numerics under the NT7 optimizer is now practical for me, where it wasn't before, and that's a big win for me.

I didn't look at the DotNumerics package before I started. DotNumerics includes a lot of the helper routines that I had to write. But you have to work under their class structure. Alglib works with standard C# arrays (although the calling conventions are strange and have a learning curve, you have to pass the array sizes as parameters). Also, Alglib is an active project, whereas DotNumerics hadn't had an update since 2009.

-Kevin

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Can you post your Algib file, I would be keen to learn how you did it.

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  #10 (permalink)
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I too would be interested to learn the approach. Please post so that we can all learn something new & you would benefit from the questions or suggestions.

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