<html><head></head><body style="word-wrap: break-word; -webkit-nbsp-mode: space; -webkit-line-break: after-white-space; ">The sample implementations of <font class="Apple-style-span" face="'Courier New'" style="font-weight: bold; ">fmax</font> and <font class="Apple-style-span" face="'Courier New'"><b>round</b></font> have similar problems.<div><br></div><div>-Jim<br><div><br><div><div>On Oct 15, 2012, at 2:38 PM, Jim Thomas wrote:</div><br class="Apple-interchange-newline"><blockquote type="cite"><div style="word-wrap: break-word; -webkit-nbsp-mode: space; -webkit-line-break: after-white-space; ">
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<!--StartFragment--><p class="stdtext"><span lang="EN-GB">Our Part 1 draft has</span></p><div>------------------------------------------------</div><p class="stdtext"><span lang="EN-GB">[3] The body of the </span><b style="mso-bidi-font-weight:normal"><span lang="EN-GB" style="font-family:"Courier New"">fmaxmag</span></b><span lang="EN-GB"> function might be</span><a style="mso-footnote-id:ftn1" href="x-msg://150/#_ftn1" name="_ftnref1" title=""><span class="MsoFootnoteReference"><span lang="EN-GB" style="font-size:8.0pt;mso-bidi-font-size:10.0pt;mso-bidi-font-weight:
bold"><span style="mso-special-character:footnote"><span class="MsoFootnoteReference"><span lang="EN-GB" style="font-size:8.0pt;mso-bidi-font-size:
10.0pt;font-family:Arial;mso-fareast-font-family:"Times New Roman";mso-ansi-language:
EN-GB;mso-fareast-language:EN-US;mso-bidi-language:AR-SA;mso-bidi-font-weight:
bold">[1]</span></span></span></span></span></a><span lang="EN-GB">
<span style="mso-spacerun:yes"> </span></span></p><p class="MsoNormal" style="margin-left:.25in;text-indent:.25in"><b><span lang="EN-GB" style="font-family:"Courier New"">{ return (isgreaterequal(fabs(x),
fabs(y)) || isnan(y)) ? x : y; }<o:p></o:p></span></b></p>
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<div style="mso-element:footnote" id="ftn1"><p class="MsoFootnoteText"><a style="mso-footnote-id:ftn1" href="x-msg://150/#_ftnref1" name="_ftn1" title=""><span class="MsoFootnoteReference"><span lang="EN-GB" style="font-size:8.0pt;mso-bidi-font-size:10.0pt"><span style="mso-special-character:
footnote"><!--[if !supportFootnotes]--><span class="MsoFootnoteReference"><span lang="EN-GB" style="font-size:8.0pt;mso-bidi-font-size:10.0pt;font-family:Arial;
mso-fareast-font-family:"Times New Roman";mso-bidi-font-family:"Times New Roman";
mso-ansi-language:EN-GB;mso-fareast-language:EN-US;mso-bidi-language:AR-SA">[1]</span></span><!--[endif]--></span></span></span></a><span lang="EN-GB"> </span><span lang="EN-GB" style="mso-bidi-font-size:9.0pt">This
implementation does not handle signaling NaNs as required of implementations
that define </span><b style="mso-bidi-font-weight:normal"><span lang="EN-GB" style="mso-bidi-font-size:9.0pt;font-family:"Courier New"">FP_SNANS_ALWAYS_SIGNAL</span></b><span lang="EN-GB" style="mso-bidi-font-size:9.0pt">.</span><span lang="EN-GB" style="font-size:10.0pt"><o:p></o:p></span></p><p class="MsoFootnoteText"><span lang="EN-GB" style="mso-bidi-font-size:9.0pt">------------------------------------------------</span></p><p class="MsoFootnoteText"><font class="Apple-style-span" face="'Courier New'"><b>isgreaterequal</b></font> might or might not raise the "invalid" floating-point exception if the implementation does not define <span lang="EN-GB" style="font-weight: bold; font-family: 'Courier New'; ">FP_SNANS_ALWAYS_SIGNAL</span><span lang="EN-GB">. Suppose it does. Suppose also that same-format conversions are copy operations. Then if <font class="Apple-style-span" face="'Courier New'"><b>x</b></font> is a signaling NaN, the code would raise "invalid" but return a signaling NaN, violating F.2.1[4]. A fix would be to change the code to</span></p><div><p class="MsoNormal" style="margin-left: 0.25in; text-indent: 0.25in; "><b><span lang="EN-GB" style="font-family: 'Courier New'; ">{ return canonicalize((isgreaterequal(fabs(x), fabs(y)) || isnan(y)) ? x : y); }<o:p></o:p></span></b></p></div><div>Then we could remove the footnote. The change would also serve to produce a canonical result.</div><div><br></div><div>Any better ideas?</div><div><br></div><div>-Jim</div>
</div>
</div>
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