#21119: Fix numerical noise on Haswell (single doctest)
-------------------------------------+-------------------------------------
       Reporter:  leif               |        Owner:
           Type:  defect             |       Status:  needs_review
       Priority:  trivial            |    Milestone:  sage-7.3
      Component:  porting            |   Resolution:
       Keywords:                     |    Merged in:
        Authors:  Leif Leonhardy     |    Reviewers:
Report Upstream:  N/A                |  Work issues:
         Branch:                     |       Commit:
  u/leif/haswell_noise               |  c825262775a13aab8ca39acfd5257fe242d05298
   Dependencies:                     |     Stopgaps:
-------------------------------------+-------------------------------------
Description changed by leif:

Old description:

> Fixes numerical noise in a single doctest in
> `sage/matrix/matrix_double_dense.pyx` on Intel Haswell.
>
> The doctest fails when doing a native build with any GCC version that
> supports Haswell:
> {{{
> **********************************************************************
> File "src/sage/matrix/matrix_double_dense.pyx", line 3761, in
> sage.matrix.matrix_double_dense.Matrix_double_dense.exp
> Failed example:
>     A.exp()  # tol 1e-14
> Expected:
>     [-19.614602953804912 + 12.517743846762578*I   3.7949636449582176 +
> 28.88379930658099*I]
>     [ -32.383580980922254 + 21.88423595789845*I   2.269633004093535 +
> 44.901324827684824*I]
> Got:
>     [-19.614602953804923 + 12.517743846762574*I  3.7949636449582007 +
> 28.883799306580993*I]
>     [-32.383580980922275 + 21.884235957898447*I  2.2696330040935115 +
> 44.901324827684846*I]
> Tolerance exceeded in 1 of 8:
>     2.269633004093535 vs 2.2696330040935115, tolerance 1e-14 > 1e-14
> **********************************************************************
> 1 item had failures:
>    1 of  11 in sage.matrix.matrix_double_dense.Matrix_double_dense.exp
>     [636 tests, 1 failure, 3.14 s]
> }}}
>
> I've simply increased the tolerance from 1e-14 to 1.5e-14.

New description:

 Fixes numerical noise in a single doctest in
 `sage/matrix/matrix_double_dense.pyx` on Intel Haswell.

 The doctest fails when doing a native build with any GCC version that
 supports Haswell:
 {{{
 **********************************************************************
 File "src/sage/matrix/matrix_double_dense.pyx", line 3761, in
 sage.matrix.matrix_double_dense.Matrix_double_dense.exp
 Failed example:
     A.exp()  # tol 1e-14
 Expected:
     [-19.614602953804912 + 12.517743846762578*I   3.7949636449582176 +
 28.88379930658099*I]
     [ -32.383580980922254 + 21.88423595789845*I   2.269633004093535 +
 44.901324827684824*I]
 Got:
     [-19.614602953804923 + 12.517743846762574*I  3.7949636449582007 +
 28.883799306580993*I]
     [-32.383580980922275 + 21.884235957898447*I  2.2696330040935115 +
 44.901324827684846*I]
 Tolerance exceeded in 1 of 8:
     2.269633004093535 vs 2.2696330040935115, tolerance 1e-14 > 1e-14
 **********************************************************************
 1 item had failures:
    1 of  11 in sage.matrix.matrix_double_dense.Matrix_double_dense.exp
     [636 tests, 1 failure, 3.14 s]
 }}}

 I've simply increased the tolerance from 1e-14 to 1.1e-14.

--

--
Ticket URL: <https://trac.sagemath.org/ticket/21119#comment:4>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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