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<!--StartFragment--><span style="font-size: 10pt; font-family: sans-serif, serif;" class=""> Unassigned: C footnote 232 uses
the extraordinary roundoff error aspect from IEEE that was taken out in the
IEEE 2008 draft. Fix this?</span><!--EndFragment--></blockquote></div><div class=""><br class=""></div><div class=""><br class=""></div><div class="">C11 7.12.1 says</div><div class=""><br class=""></div><br class=""><blockquote type="cite" class="">The result underflows if the magnitude of the mathematical result is so small that the
mathematical result cannot be represented, without extraordinary roundoff error, in an
object of the specified type.232)</blockquote><br class=""><div class=""><blockquote type="cite" class="">232) The term underflow here is intended to encompass both ‘‘gradual underflow’’ as in IEC 60559 and
also ‘‘flush-to-zero’’ underflow.</blockquote><br class=""></div><div class=""><div class=""><br class=""></div></div><div class=""><br class=""></div><div class="">This characterization of underflow doesn’t match current IEC 60559. IEC 60559 specifies that underflow is signaled if the result is tiny, even if exact (hence no roundoff error). If the result is tiny then the underflow flag is raised if and only if the result is inexact, even if the roundoff error is the same as it would have been if the full (normal) precision of the type were available (hence no extraordinary roundoff error).</div><div class=""><br class=""></div><div class="">Here's a rewording for consideration:</div><div class=""><br class=""></div><blockquote style="margin: 0 0 0 40px; border: none; padding: 0px;" class=""><div class="">The result underflows if the magnitude of the mathematical result is so small that the mathematical result cannot be represented with the full precision of the specified type in an object of the specified type.232)</div></blockquote><div class=""><br class=""></div><div class="">Then the footnote is ok.</div><div class=""><br class=""></div><div class="">A possible objection to the change is that it broadens the C definition of underflow (by not requiring extraordinary, or even any, roundoff error). However, a range error is optional when underflow occurs, so implementations would not be invalidated.</div><div class=""><br class=""></div><div class="">- Jim Thomas</div><div class=""><br class=""></div><div class=""><br class=""><br class=""></div></body></html>