#10952: better numerical accuracy testing
---------------------------+------------------------------------------------
Reporter: robertwb | Owner: mvngu
Type: enhancement | Status: needs_review
Priority: major | Milestone:
Component: doctest | Keywords:
Work_issues: | Upstream: N/A
Reviewer: Jason Grout | Author: Robert Bradshaw
Merged: | Dependencies:
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Changes (by robertwb):
* status: needs_work => needs_review
Old description:
> {{{
> sage: print "The answers are", 1.5, 2, 1e-12 # tol 1e-3
> The answers are 1.499999 2.0001 0
> }}}
New description:
If a line contains ``tol`` or ``tolerance, numerical results are only
verified to the given tolerance. This may be prefixed by ``abs[olute``
or ``rel[ative]`` to specify whether to measure absolute or relative
error; defaults to relative error except when the expected value is
exactly zero:
{{{
sage: RDF(pi) # abs tol 1e-5
3.14159
sage: [10^n for n in [0.0 .. 4]] # rel tol 2e-4
[0.9999, 10.001, 100.01, 999.9, 10001]
}}}
This can be useful when the exact output is subject to rounding error
and/or processor floating point arithmetic variation.
--
Comment:
True. It doesn't work with print (or other non-expression statements).
I've created #11336 to generalize it.
I think that this is still plenty useful even with that limitation, and
don't know when I'll have more time to work on it--we could either get
this in and start using it now or hold off until has time to write a more
complete implementation at some later date (which I'd like to get to
someday, but that someday list is long...)
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10952#comment:16>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
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