Updates:
Status: Started
Owner: mattpap
Labels: NeedsReview
Comment #2 on issue 1431 by mattpap: ratsimp improvement
http://code.google.com/p/sympy/issues/detail?id=1431
As ratsimp() is currently redundant, because we have cancel() function for
reducing
the degree of the numerator and denominator of a rational function, I went
ahead and
changed behavior of ratsimp() to use cancel() for simplification and
polynomial
division (actually reduced()) to split the resulting rational function into
the
polynomial part and rational function part.
Example:
In [1]: var('F1 Gc x1 xd k')
Out[1]: (F₁, Gc, x₁, xd, k)
In [2]: eq = (F1 + Gc*x1 + Gc*xd + k*x1)/(Gc + k)
In [3]: eq
Out[3]:
F₁ + Gc⋅x₁ + Gc⋅xd + k⋅x₁
─────────────────────────
Gc + k
In [4]: cancel(_)
Out[4]:
F₁ + Gc⋅x₁ + Gc⋅xd + k⋅x₁
─────────────────────────
Gc + k
In [5]: ratsimp(_)
Out[5]:
F₁ + Gc⋅xd
x₁ + ──────────
Gc + k
(see commit b2b8f97f151524810d8ba0242b7e202b5a738c10 in polys8)
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