<html><head></head><body style="word-wrap: break-word; -webkit-nbsp-mode: space; -webkit-line-break: after-white-space; "><div>Here's a change I came up based on our teleconference discussion today. Please review ASAP.</div><div><br></div><div>-Jim</div><div><br></div><div>
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<!--StartFragment-->
<h2><a name="_Toc190158492"><span lang="EN-GB">14.9<span style="mso-tab-count:
1"> </span>The canonicalize functions</span></a><span lang="EN-GB"><o:p></o:p></span></h2><p class="MsoNormal"><span lang="EN-GB" style="mso-bidi-font-family:Arial;
mso-bidi-font-weight:bold">IEC 60559 requires an arithmetic convertFormat
operation from each format to itself. This operation produces a canonical
encoding and, for a signaling NaN input, raises the “invalid” floating-point
and delivers a quiet NaN. C assignment (and conversion as if by assignment) to
the same format may be implemented as a convertFormat operation or as a copy
operation. The suggested change to C11 below provides the IEC 60559 convertFormat
operation. <o:p></o:p></span></p><p class="MsoNormal"><b><span lang="EN-GB" style="mso-bidi-font-family:Arial">Suggested
change to C11:<o:p></o:p></span></b></p><p class="MsoNormal"><span lang="EN-GB" style="mso-bidi-font-family:Arial;
mso-bidi-font-weight:bold">As the last subclause of 7.12.11, add:<o:p></o:p></span></p><p class="MsoNormal"><b><span lang="EN-GB" style="mso-bidi-font-family:Arial">7.12.11.<span style="color:red">n</span> The canonicalize functions</span></b><span lang="EN-GB" style="mso-bidi-font-family:Arial;mso-bidi-font-weight:bold"><o:p></o:p></span></p><p class="MsoNormal" style="mso-outline-level:1"><b><span lang="EN-GB" style="mso-bidi-font-family:Arial">Synopsis<o:p></o:p></span></b></p><p class="MsoNoSpacing"><span lang="EN-GB"><span style="mso-tab-count:1"> </span>#include
<math.h><o:p></o:p></span></p><p class="MsoNoSpacing"><span lang="EN-GB"><span style="mso-tab-count:1"> </span>int
canonicalize(</span><i style="mso-bidi-font-style:normal"><span lang="EN-GB" style="mso-bidi-font-family:Arial">double * cx, const double * x);</span></i><span lang="EN-GB"><o:p></o:p></span></p><p class="MsoNoSpacing"><span lang="EN-GB"><span style="mso-tab-count:1"> </span>int
canonicalizef(</span><i style="mso-bidi-font-style:normal"><span lang="EN-GB" style="mso-bidi-font-family:Arial">float * cx, const float * x);</span></i><span lang="EN-GB"><o:p></o:p></span></p><p class="MsoNoSpacing"><span lang="EN-GB"><span style="mso-tab-count:1"> </span>int
canonicalizel(long </span><i style="mso-bidi-font-style:normal"><span lang="EN-GB" style="mso-bidi-font-family:Arial">double * cx, const long double *
x);</span></i></p><p class="MsoNormal" style="mso-outline-level:1"><b><span lang="EN-GB" style="mso-bidi-font-family:Arial">Description<o:p></o:p></span></b></p><p class="MsoNormal" style="mso-outline-level:1"><span lang="EN-GB" style="mso-bidi-font-family:Arial;mso-bidi-font-weight:bold">The <b>canonicalize</b>
functions attempt to produce a canonical version of the floating-point
representation in the object pointed to by the argument <b>x</b> and store the
canonical result in the object pointed to by the argument <b>cx</b>. If the input <b>*x</b> is a signalling NaN, the <b>canonicalize</b>
functions are intended to store a canonical quiet NaN. If a canonical result is
not produced the object pointed to by <b>cx</b> in unchanged. <o:p></o:p></span></p><p class="MsoNormal" style="mso-outline-level:1"><b><span lang="EN-GB" style="mso-bidi-font-family:Arial">Returns<o:p></o:p></span></b></p><p class="MsoNormal" style="mso-outline-level:1"><span lang="EN-GB" style="mso-bidi-font-family:Arial;mso-bidi-font-weight:bold">The functions
return zero if a canonical result is stored in the object pointed to by <b>cx</b>.
Otherwise they return a nonzero value.<o:p></o:p></span></p><p class="MsoNormal"><span lang="EN-GB" style="mso-bidi-font-family:Arial;
mso-bidi-font-weight:bold">After new F.10.8.4, add:<o:p></o:p></span></p><p class="MsoNormal"><b><span lang="EN-GB" style="mso-bidi-font-family:Arial">F.10.8.5
The canonicalize functions<o:p></o:p></span></b></p><p class="MsoNormal" style="mso-outline-level:1"><span lang="EN-GB" style="mso-bidi-font-family:Arial;mso-bidi-font-weight:bold">The <b>canonicalize</b>
functions produce</span><a style="mso-footnote-id:ftn1" href="#_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-family:Arial;
mso-bidi-font-weight:bold"><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-ansi-language:
EN-GB;mso-fareast-language:EN-US;mso-bidi-language:AR-SA;mso-bidi-font-weight:
bold">[1]</span></span><!--[endif]--></span></span></span></a><span lang="EN-GB" style="mso-bidi-font-family:Arial;mso-bidi-font-weight:bold"> the canonical
version of the representation in the object pointed to by the argument <b>x</b>.
If the imput <b>*x</b> is a signaling NaN, the "invalid"
floating-point exception is raised and a (canonical) quiet NaN (which should be
the canonical version of that signaling NaN made quiet) is produced.<span style="mso-spacerun:yes"> </span>For quiet NaN, infinity, and finite inputs,
the functions raise no floating-point exceptions.<o:p></o:p></span></p>
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<!--[endif]-->
<div style="mso-element:footnote" id="ftn1"><p class="MsoFootnoteText"><a style="mso-footnote-id:ftn1" href="#_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="font-size:10.0pt;mso-bidi-font-family:
Arial;mso-bidi-font-weight:bold">As if <b>x*1e0</b> were computed.</span><span lang="EN-GB"><o:p></o:p></span></p>
</div>
</div>
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