#19304: Fix hash function of rationals
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Reporter: vdelecroix | Owner:
Type: defect | Status: new
Priority: critical | Milestone: sage-6.9
Component: misc | Keywords:
Merged in: | Authors:
Reviewers: | Report Upstream: N/A
Work issues: | Branch:
Commit: | Dependencies:
Stopgaps: |
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{{{
sage: 1 == hash(2/3) == hash(3/2) == hash(5/4) == hash(4/5) == hash(9/8)
== hash(8/9)
True
}}}
The hash function of rationals is only a xor between numerator and
denominator. As shown above this is too naive to avoid collisions!
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Ticket URL: <http://trac.sagemath.org/ticket/19304>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
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