jyr <jyr2...@googlemail.com> writes:
> def test_calc_factlist(nn):
> r"""
> Function calculates a list of precomputed factorials in order to
> massively accelerate consequetive calculations of the various
^^^^^^^^^^^^
Typo. And maybe say "future" instead of "consecutive"?
> EXAMPLES:
>
> Calculate list of factorials:
>
> sage: test_calc_factlist(10)
> [1, 1, 2, 6, 24, 120, 720, 5040, 40320, 362880, 3628800]
> """
> _calc_factlist(nn)
> return _Factlist
Maybe "return _Factlist[:nn+1]" to ensure that the test passes even
if other tests run which create a larger _Factlist?
> This function uses the algorithm of [Edmonds74] to calculate the
> value of the 3j symbol exactly. Note that the formula contains
> alternating sums over large factorials and is therefore unsuitable
> for finite precision arithmetic and only useful for a computer
> algebra system [Rasch03].
Do you have a specific example illustrating what you mean by the last
sentence? I've done lots of calculations of theta symbols which contain
a similar sum. For these, if I use long double's in C, I retain good
precision even for fairly large arguments.
And I've found that floating point is also fine for 6j symbols.
> higher symmetry releations that the Clebsch-Gordan coefficient.
Typo ^^^^^^^^^^
> prec - precission, default: None. Providing a precission can
Only one s in "precision" (twice here and also in other places).
Probably worth running the file through a spell-checker.
Dan
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