Unfortunately, it seems that I'm not allowed to copy paste the parts of the
HyperSpec that detail the branch cuts.

Could somebody with a tiny little spare time create LaTeX snippets containing
the essential parts of the information from the HyperSpec, eg.

HyperSpec/Body/f_asin_.htm

It should be roughly as follows:

The Common Lisp standard defines singularities and branch cuts of asin in terms
of those of log and sqrt via

asin z = -i log (iz+sqrt(1-z^2)) 

 branch cuts for asin are: 

* along the negative real axis to the left of -1 (inclusive), continuous with
  quadrant II,

* along the positive real axis to the right of 1 (inclusive), continuous with
  quadrant IV.

The range contains the complex numbers with 

* real part strictly between -<PI>/2 and <PI>/2, 
* real part equal to -<PI>/2 and non-negative imaginary part
* real part equal to <PI>/2 and non-positive imaginary part.

I hope that this is legal.  We really need to include these in the docstrings
of ELEMFUN, I think.

Martin


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