Comment #11 on issue 2033 by [email protected]: solve should be able to
handle rational function systems
http://code.google.com/p/sympy/issues/detail?id=2033
It is. When I put the OP equation set of 2033 into 1694 these are the
equations for which a solution is sought:
h[1] >>> solve([r - x**2 - y**2, tan(t) - y/x], [x, y])
Poly(-_x**2 - _y**2 + _r, _x, _y, domain='ZZ[_r]');Poly(tan(_t)*_x - _y,
_x, _y, domain='ZZ[tan(_t)]')
Notice that there are no fractions. But these generate an error:
Traceback (most recent call last):
...
raise ExactQuotientFailed('%s does not divide %s in %s' % (b, a, self))
sympy.polys.polyerrors.ExactQuotientFailed: DMP([[1, 0]], ZZ) does not
divide DM
P([[1]], ZZ) in ZZ[_r,tan(_t)]
which goes away in polys12 as long as they are entered in the form that
they are fashioned into by 1694:
h[1] >>> solve((-x**2 - y**2 + r, tan(t)*x - y), (x, y))
[((r*tan(t)**2/(1 + tan(t)**2))**(1/2)/tan(t), (r*tan(t)**2/(1 +
tan(t)**2))**(1
/2)), (-(r*tan(t)**2/(1 + tan(t)**2))**(1/2)/tan(t), -(r*tan(t)**2/(1 +
tan(t)**
2))**(1/2))]
h[2] >>>
Otherwise you would get an error without the 1694 changes:
h[2] >>> solve([r - x**2 - y**2, tan(t) - y/x], [x, y])
Traceback (most recent call last):
File "<stdin>", line 1, in <module>
File "sympy\solvers\solvers.py", line 369, in solve
raise NotImplementedError()
NotImplementedError
h[2] >>>
/c
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