#19040: defuse bool(x!=0) performance bomb
-------------------------------+------------------------
Reporter: rws | Owner:
Type: enhancement | Status: new
Priority: major | Milestone: sage-6.9
Component: symbolics | Resolution:
Keywords: | Merged in:
Authors: | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
Dependencies: | Stopgaps:
-------------------------------+------------------------
Description changed by rws:
Old description:
> Symbolics may be part of type-neutral computations, e.g. matrices, rings.
> Developers do not expect proof machinery to crank up when writing `if
> x!=0`, so `bool(x1!=x2)` should mean `not (x1-x2).is_trivial_zero()` for
> symbolic `x`. This ticket should provide a different interface for cases
> requiring simplification/proof:
> * `bool(rel)` equivalent to `(not)(LHS-RHS).is_trivial_zero()` for ==,!=
> ; and an exception with maybe hint to the following for <,>,<=,>=
> * `satisfiable(rel)` returning
> `(Yes,example)/No/Undecidable/NotImplemented`
> * `solve(rel)` in case of `satisfiable=Yes` returning the full solution
> set
> * `prove(rel)` showing more or less steps of simplification (which is
> out of reach for the moment)
New description:
Symbolics may be part of type-neutral computations, e.g. matrices, rings.
Developers do not expect proof machinery to crank up when writing `if
x!=0`, so `bool(x1!=x2)` should mean `not (x1-x2).is_trivial_zero()` for
symbolic `x`. This ticket should provide a different interface for cases
requiring simplification/proof:
* `bool(rel)` equivalent to `(not)(LHS-RHS).is_trivial_zero()` for ==,!=
; and an exception with maybe hint to the following for <,>,<=,>=
* `satisfiable(rel)` returning
`(Yes,example)/No/Undecidable/NotImplemented`
* `truth(rel, (x,S1), (y,S1)...)` equivalent to `satisfiable(rel)` for
all `x,y...` in `S1,S2,...`
* `solve(rel)` in case of `satisfiable=Yes` returning the full solution
set
* `prove(rel)` showing more or less steps of simplification (which is out
of reach for the moment)
--
--
Ticket URL: <http://trac.sagemath.org/ticket/19040#comment:9>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
--
You received this message because you are subscribed to the Google Groups
"sage-trac" group.
To unsubscribe from this group and stop receiving emails from it, send an email
to [email protected].
To post to this group, send email to [email protected].
Visit this group at http://groups.google.com/group/sage-trac.
For more options, visit https://groups.google.com/d/optout.
