#18420: Uniformize truncated multiplication for polynomials
-------------------------------------+-------------------------------------
       Reporter:  vdelecroix         |        Owner:
           Type:  enhancement        |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-6.7
      Component:  algebra            |   Resolution:
       Keywords:                     |    Merged in:
        Authors:  Vincent Delecroix  |    Reviewers:
Report Upstream:  N/A                |  Work issues:
         Branch:                     |       Commit:
  u/vdelecroix/18420                 |  b73a8404319fc0f7542989c340376c43610bc1e0
   Dependencies:                     |     Stopgaps:
-------------------------------------+-------------------------------------
Description changed by vdelecroix:

Old description:

> The operation `_mul_trunc` on polynomials is currently only implemented
> in specialized classes with custom declaration. We define a global one in
> Polynomial with signature
> {{{
> class Polynomial:
>     cpdef _mul_trunc_(self, Polynomial right, long n)
> }}}
> (and deprecate the former _mul_trunc).
>
> We also add specialized implentation for integer polynomials (relying on
> `fmpz_poly_mullow`) and rational polynomials (relying on
> `fmpq_poly_mullow`).

New description:

 The operation `_mul_trunc` on polynomials is currently only implemented in
 specialized classes with custom declaration. We define a global one in
 Polynomial with signature
 {{{
 class Polynomial:
     cpdef Polynomial _mul_trunc_(self, Polynomial right, long n)
 }}}
 (and deprecate the former _mul_trunc).

 We also add specialized implentation for integer polynomials (relying on
 `fmpz_poly_mullow`) and rational polynomials (relying on
 `fmpq_poly_mullow`).

 Such method would be really helpful for multiplication of power series.

--

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Ticket URL: <http://trac.sagemath.org/ticket/18420#comment:6>
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