[Bug math/15423] New: catan, catanh spurious underflows

["jsm28 at gcc dot gnu.org" <sourceware-bugzilla at sourceware dot org>]

http://sourceware.org/bugzilla/show_bug.cgi?id=15423

             Bug #: 15423
           Summary: catan, catanh spurious underflows
           Product: glibc
           Version: 2.17
            Status: NEW
          Severity: normal
          Priority: P2
         Component: math
        AssignedTo: unassigned@sourceware.org
        ReportedBy: jsm28@gcc.gnu.org
    Classification: Unclassified


catan and catanh can produce spurious underflow exceptions from squaring the
real and imaginary parts of their arguments.  These in turn can lead to other
spurious exceptions and inaccurate results.  Examples on x86_64: catan (1.0 +
0x1p-1020i) (spurious underflow), catan (0x1p-1020 + 1.0i) (spurious underflow
and divide-by-zero), catan (0x1p-512 + 1.0i) (spurious underflow and overflow),
catan (0x1.3p-536 - 1.0i) (spurious underflow, imaginary part of result is
inaccurate, -185.9367... but should be -186.0240...).

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