#20139: implement trigonometric symmetry simplifications
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Reporter: rws | Owner:
Type: enhancement | Status: new
Priority: major | Milestone: sage-7.1
Component: symbolics | Resolution:
Keywords: | Merged in:
Authors: | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
Dependencies: | Stopgaps:
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Description changed by rws:
Old description:
> This will bring Sage to its knees:
> {{{
> assert sin(104*pi/105) == sin(pi/105)
> }}}
> because sin symmetry is not implemented and so the `__nonzero__` proof
> machinery is started which uses `QQbar` on algebraic numbers of high
> degree.
>
> Sympy immediately verifies the equation because it does:
> {{{
> >>> sin(104*pi/105)
> ⎛ π ⎞
> sin⎜───⎟
> ⎝105⎠
> }}}
New description:
This will bring Sage to its knees:
{{{
assert sin(104*pi/105) == sin(pi/105)
}}}
because sin symmetry is not implemented and so the `__nonzero__` proof
machinery is started which uses `QQbar` on algebraic numbers of high
degree.
Sympy immediately verifies the equation because it does:
{{{
>>> sin(104*pi/105)
⎛ π ⎞
sin⎜───⎟
⎝105⎠
}}}
The fix will be made in Pynac and this ticket should doctest it.
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Ticket URL: <http://trac.sagemath.org/ticket/20139#comment:1>
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