How are you numbering the `tests`, (i don't understand). Is there some
maths sequence that you are following.
pi_001, pi_002, pi_005, pi_008, pi_010, pi_027
Gaurav
On Friday 11 March 2016 06:33 PM, Fredrik Johansson wrote:
Hi,
To celebrate Pi Day (three days from now) and the 1.0 release of
SymPy, I propose collecting ways to produce the symbolic result "pi"
with SymPy.
I have created a git repository
(https://github.com/fredrik-johansson/314) to collect such pi
examples, using my old list of "100 mpmath one-liners for pi" as the
starting point. Feel free to contribute!
A useful project would be to go through all of the mpmath examples and
improve SymPy's symbolic capabilities to the point where it can
simplify all those formulas to pi (perhaps after the user invokes the
right simplification and rewriting commands).
I have a added a few SymPy examples; there are many more that could be
added straight away. There are also many examples that currently won't
work (of course, nsimplify could be used, but that's cheating). The
first disappointment is that SymPy doesn't seem to be able to simplify
Machin's formula 16*acot(5)-4*acot(239). Another simple case that
should be more robust is pi_005: 2*I*simplify(log((1-I)/(1+I)))
produces pi, but simplify(2*I*log((1-I)/(1+I))) doesn't.
Fredrik
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