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to fix the tex issue for formulas we use the underscore package.
Here the _ in text mode is replaced by \_ so no character substitutions
are necessary.

New Slang version complains about undefs, to keep possibility for
qualifier rate and error passing make them NULLS.

* Calculations of the RMS uncertainty are not consistent in the
  literature. There are different pre-factors used in Uttley et al.
  (2014, Eq. 14), Ingram et al. (2019, Eq. 22), and Vaughan et al.
  (2003, Eq. 11).
* Previously, Uttley+14 Eq. 14 was implemented but the uncertainties
  appeared unrealistically small.
* The uncertainties using Vaughan+03 Eq. 11 are larger (although still
  small).

This is a simple, not memory efficient function to do
Lagrange interpolation. Use it! It is much better than
anything you can achive with Netwon polynomials.

Because we add the 0 left we need to go one step
left again

Very basic, stolen from my light bending code

When the output file exists and we don't overwrite it, we call
mpi_abort (if we can). If we can't the MPI runs into an error.
Not nice, but thats the best we can do.

Still lots of things to improve. But should be good enough
for mcmc investiagtions, probably not good enough for papers.

The missing indentation in binary search help causes that
searches for, e.g., 'where' find a match in here.

Indentation added.