Raymond Hettinger <raymond.hettin...@gmail.com> added the comment:

Added a revised script for testing accuracy measured in ULPs.  It shows an 
improvement for all dimensions tested, with the best for 2 dimensions.  Also, 
the maximum error is now 1 ulp; formerly, it was 2 ulps.

======== 2 dimensions ========
div-by-max:     [(-2.0, 14), (-1.0, 1721), (0.0, 6533), (1.0, 1722), (2.0, 10)]
scaled-by-2:    [(-1.0, 841), (0.0, 8339), (1.0, 820)]

======== 3 dimensions ========
div-by-max:     [(-2.0, 3), (-1.0, 1525), (0.0, 6933), (1.0, 1535), (2.0, 4)]
scaled-by-2:    [(-1.0, 739), (0.0, 8515), (1.0, 746)]

======== 5 dimensions ========
div-by-max:     [(-2.0, 2), (-1.0, 1377), (0.0, 7263), (1.0, 1358)]
scaled-by-2:    [(-1.0, 695), (0.0, 8607), (1.0, 698)]

======== 10 dimensions ========
div-by-max:     [(-2.0, 13), (-1.0, 1520), (0.0, 6873), (1.0, 1580), (2.0, 14)]
scaled-by-2:    [(-1.0, 692), (0.0, 8605), (1.0, 703)]

======== 20 dimensions ========
div-by-max:     [(-1.0, 1285), (0.0, 7310), (1.0, 1405)]
scaled-by-2:    [(-1.0, 555), (0.0, 8822), (1.0, 623)]

----------

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<https://bugs.python.org/issue41513>
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