#10952: better numerical accuracy testing
--------------------------------------------------------+-------------------
Reporter: robertwb | Owner:
mvngu
Type: enhancement | Status:
positive_review
Priority: critical | Milestone:
sage-4.7.2
Component: doctest | Keywords: sd32
Work_issues: | Upstream: N/A
Reviewer: Jason Grout, Mariah Lenox, William Stein | Author:
Robert Bradshaw, Rob Beezer
Merged: | Dependencies:
--------------------------------------------------------+-------------------
Old 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.
>
> '''Apply''':
> 1. [attachment:10952-tol-bin.patch] - to the local/bin repo
> 1. [attachment:10952-tol-doc.2.patch] - to the devel/sage repo
> 1. [attachment:trac_10952-reviewer-docs-v3.patch] - to the devel/sage
> repo
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.
----
Apply
1. [attachment:10952-tol-bin.patch]
to the Sage '''scripts repository'''.
Apply
1. [attachment:10952-tol-doc.2.patch]
1. [attachment:trac_10952-reviewer-docs-v3.patch]
to the Sage library repository.
--
Comment(by leif):
Shouldn't the code only be included if the doctests actually contain `#
tol ...`?
`( +[0-9.e+-]+)?` hardly matches what we want btw.
[[BR]]
I've put this onto the 1337 ticket (#11337).
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10952#comment:29>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
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