[Gm2] Numerical library in Modula-2

[Michael Riedl]

Gaius,

noticed that my feedback to the new package had been addressed only to 
your personal mailbox ...


All,


I developed a library of numerical procedures in Modula-2 for my private
projects which I would like to share with others. I already was in email 
conversation about that with Gaius quite some time ago.

Now I am "near" ready with the packages and I think it's time to include
the whole community in the communication - otherwise I will always find 
stuff to be improved
before doing the next step ... such a thing has a tendency to never 
become "ready".

The library has, among other, procedures for

- Numerical integration & differentiation
- Special functions (Gamma, Student, Hankel, ... )
- Fourier transformation
- Random number generators
- Matrix routine (Matrix times vector, Matrix times Matrix, ...)
- Solving linear equations
- Eigenvalue- and vectors
  (real symmetric, real general, complex hermitian, complex general)
- Singular value decomposition
- Multidimensional function optimization routines


The whole library is about 25.000 lines of code (not including the 
def-files)
which I would like to put to the public under the GPL/LGPL.

Here I am looking for some support for

- further testings and cleanups
- get some more systematic in the test routines
  (not that well structured at the moment)
- documentation
  (most of the def files are in German, here we need to have it at least
   bi-lingual)
- other improvements & checks

At the moment I still develop this with Excelsior XDS compiler but I
think it's time to change that ... but I suppose that this will not
be that big deal at all - maybe the different sizes of REAL types
need to be considered, but that's something I would like to discuss.

Furthermore I wrote a complete IO library and some applications based on
the libraries mostly for chemistry related topics (spectra analysis with
principal component analysis and PLS including a library for genetic
algorithms, small library for Fourier transform spectroscopy, a small
quantum mechanical calculation routine including an experimental interface
to OpenMPI).

Also would like to share all of the in one of the next steps, but 
reviewing the about 40.000 lines of code may take some time.

At the moment I am still doing some clean-ups but if someone in the
audience is already interested in one of the topics drop me a mail and I
can send copies via email. Or we already find a nice place to share it
for all who might be interested.

Gajus already kindly offered me with some support concerning configure
and makefiles.

Any feedback is welcome.

Gruß

Michael