Status: Accepted
Owner: ----
Labels: Type-Defect Priority-Medium

New issue 3122 by [email protected]: coeff wish list
http://code.google.com/p/sympy/issues/detail?id=3122

Should coeff() try to extract terms without doing an actual expansion? e.g Aaron cites from Maple:

    ```
    A more difficult example: the polynomial does not need to
    be expanded for coeff(p, x^n) to work.
    > q:=3*a*(x + 1)^2 + sin(a)*x^2*y - y^2*x + x - a;
      q:=3*a*(x + 1)^2 + sin(a)*x^2*y - y^2*x + x - a
    > coeff(q, x);
      6*x  - y^2 + 1
    ```

[and Aaron continues to say]
In theory, it should be possible to compute this without expanding the entire expression, by simply computing the multinomial coefficient that we want for each term.

Another thing that it could do is pick up terms that appear in the same proportion as an Add pattern, e.g.

    (2 + 2*x + y*(x + 1)).coeff(x + 1) --> 2 + y



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