rational functions

[Christian Bauer]

Hi!

On Mon, Feb 12, 2001 at 04:02:38PM -0500, Ricardo Guzman wrote:
>     How does ginac handle rational expressions internally? I see how
> polynomials in general are represented through the 'expairseq' framework.

expairseq can store negative powers of expressions as well: 1/x = x^(-1)

> But, how does it manipulate a quotient of two polynomials in the case of gcd
> calculations or when querying for numerator/denominator?

normal(), numer() and denom() internally split each (sub-)expression into
a {numerator,denominator} pair. For example, normal() performs:

  1/x+2 -> {1,x}+{2,1} -> {1+2x,x} -> (1+2x)/x (= (1+x^2)*x^(-1))

But this internal paired representation is not visible to the user.

Bye,
Christian

-- 
  / Coding on PowerPC and proud of it
\/ http://www.uni-mainz.de/~bauec002/
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