#10952: better numerical accuracy testing
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Reporter: robertwb |
Owner: mvngu
Type: enhancement |
Status: positive_review
Priority: critical |
Milestone: sage-4.7.2
Component: doctest |
Keywords: sd32 noise noisy doctest failure error tolerance
Work_issues: |
Upstream: N/A
Reviewer: Jason Grout, Mariah Lenox, William Stein, John Palmieri |
Author: Robert Bradshaw, Rob Beezer
Merged: |
Dependencies:
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Changes (by leif):
* keywords: sd32 => sd32 noise noisy doctest failure error tolerance
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.2.patch]
> 1. [attachment:trac_10952-ref.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.
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.
----
Related:
* `.zero_at(epsilon)` methods, to fix noisy (and signed) zeroes; see for
example #11848.
----
Apply
1. [attachment:10952-tol-bin.2.patch]
1. [attachment:trac_10952-ref.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.
--
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10952#comment:42>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
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