#19822: Fast polynomial evaluation fmpz_poly/ZZX with mpfr/mpfi input
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Reporter: vdelecroix | Owner:
Type: enhancement | Status: needs_work
Priority: major | Milestone: sage-7.0
Component: algebra | Resolution:
Keywords: | Merged in:
Authors: Vincent Delecroix | Reviewers: Jeroen Demeyer
Report Upstream: N/A | Work issues:
Branch: | Commit:
u/vdelecroix/19822 | 5562a78b592125e698021743d545f176cc0604bb
Dependencies: | Stopgaps:
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Description changed by vdelecroix:
Old description:
> We implement functions that allow fast evaluations of integer polynomials
> with real input:
> - `fmpz_poly_evaluation_mpfr(mpfr_t res, const fmpz_poly_t poly, const
> mpfr_t a)`
> - `fmpz_poly_evaluation_mpfi(mpfi_t res, const fmpz_poly_t poly, const
> mpfi_t a)`
> - `ZZX_evaluation_mpfr(mpfr_t res, ZZX_c poly, const mpfr_t a)`
> - `ZZX_evaluation_mpfi(mpfi_t res, ZZX_c poly, const mpfi_t a)`
>
> These functions are integrated in the polynomial code within the methods
> `_eval_mpfr_` and `_eval_mpfi_`.
>
> Follow up: #19841, #19824
>
> See also the following discussion for upstream integrations:
>
> - [https://groups.google.com/forum/#!topic/flint-devel/WAw4jvBHPyQ thread
> on flint-devel]
New description:
We implement functions that allow fast evaluations of integer polynomials
with real input:
- `fmpz_poly_evaluation_mpfr(mpfr_t res, const fmpz_poly_t poly, const
mpfr_t a)`
- `fmpz_poly_evaluation_mpfi(mpfi_t res, const fmpz_poly_t poly, const
mpfi_t a)`
- `ZZX_evaluation_mpfr(mpfr_t res, ZZX_c poly, const mpfr_t a)`
- `ZZX_evaluation_mpfi(mpfi_t res, ZZX_c poly, const mpfi_t a)`
These functions are integrated in the polynomial code within the methods
`_eval_mpfr_` and `_eval_mpfi_`.
Follow up: #19841, #19824
See also the following discussion for upstream integrations:
- [https://groups.google.com/forum/#!topic/flint-devel/WAw4jvBHPyQ thread
on flint-devel]
- [[https://lists.gforge.inria.fr/pipermail/mpfi-
users/2015-June/000064.html]]
--
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Ticket URL: <http://trac.sagemath.org/ticket/19822#comment:37>
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