I would advocate that RLF is a very good approximation of what should
be RR. Perhaps one good direction to take is to try to make RLF
smarter and contains all constants from pi to cos(42^e).
Somehow, it already does (i.e. internally it keeps track of their
symbollic nature):
{{{
2014-03-14 10:45 UTC+01:00, mmarco mma...@unizar.es:
I would advocate that RLF is a very good approximation of what should
be RR. Perhaps one good direction to take is to try to make RLF
smarter and contains all constants from pi to cos(42^e).
Somehow, it already does (i.e. internally it
This is half good, I am happy that RLF wraps symbolic constants. But,
first of all there can not be any reasonable coercion from SR to RLF
as SR is much bigger. Secondly, SR is not consistent with evaluation
sage: cos(1.).parent()
Real Field with 53 bits of precision
sage:
2014-03-14 14:24 UTC+01:00, mmarco mma...@unizar.es:
This is half good, I am happy that RLF wraps symbolic constants. But,
first of all there can not be any reasonable coercion from SR to RLF
as SR is much bigger. Secondly, SR is not consistent with evaluation
sage: cos(1.).parent()
Real
Any number cos(rational x pi) is algebraic and equality of algebraic
numbers is decidable. Moreover, it is not because something is
undecidable that Sage should return a wrong answer. In that case, it
would be good to have a third party in comparison (either returning
Unknown or
Salut Thierry,
I did not see your post before posting mine ! I mostly agreed but I
would love to have something better. There are two kinds of
approximation that one can have when dealing with computations :
- approximate operations +, -, x, / (that allows for example to deal
with a finite
On Wednesday, March 12, 2014 8:45:57 PM UTC-4, Thierry
(sage-googlesucks@xxx) wrote:
- create RSF (for real symbolic field) to isolate pi and sqrt(2) from
cos(x) in the symbolic ring.
Thats essentially what RLF does.
- re-create RR as an overlay field over the different
2014-03-13 21:32 UTC+01:00, Volker Braun vbraun.n...@gmail.com:
On Wednesday, March 12, 2014 8:45:57 PM UTC-4, Thierry
(sage-googlesucks@xxx) wrote:
- create RSF (for real symbolic field) to isolate pi and sqrt(2) from
cos(x) in the symbolic ring.
Thats essentially what RLF does.
Nope,
On Thu, Mar 13, 2014 at 01:32:10PM -0700, Volker Braun wrote:
On Wednesday, March 12, 2014 8:45:57 PM UTC-4, Thierry
(sage-googlesucks@xxx) wrote:
- create RSF (for real symbolic field) to isolate pi and sqrt(2) from
cos(x) in the symbolic ring.
Thats essentially what RLF does.
On Thu, Mar 13, 2014 at 10:08:05PM +0100, Vincent Delecroix wrote:
[...]
I would advocate that RLF is a very good approximation of what should
be RR. Perhaps one good direction to take is to try to make RLF
smarter and contains all constants from pi to cos(42^e).
A generalisation of RLF could
On Thursday, March 13, 2014 5:10:53 PM UTC-4, Thierry
(sage-googlesucks@xxx) wrote:
This is not about floating-point arithmetic nor evaluation, but about a
common parent with some semantics in it.
Its fine to strive for generality, but I don't think its a good idea to
have something
Hi,
On Wed, Mar 12, 2014 at 01:29:47PM -0700, mmarco wrote:
RR if you don't care about the lack of exactness
QQ or some extension (like AA) if you want exactness but don't mind the
lack of transcendentals
SR if you want to allow arbitrary expressions, with the problem of speed
and maybe
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