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<!--StartFragment--><p class="MsoNormal"><span style="font-size:10.0pt;font-family:Arial">Here's a shot at words for Part 2 to address the optimization issue of preserving quantum exponents for decimal FP.</span></p><div>-Jim</div><p class="MsoNormal"><span style="font-size:10.0pt;font-family:Arial">=================</span></p><p class="MsoNormal"><span style="font-size:10.0pt;font-family:Arial">In F.9.2,
insert at the beginning:</span></p><p class="MsoNormal"><span style="font-size:10.0pt;font-family:Arial">[1a] Valid
expression transformations must preserve values in all cases.</span></p><p class="MsoNormal"><span style="font-size:10.0pt;font-family:Arial">[1b] The
validity of the transformations noted below applies to expressions of generic
floating types.</span></p><p class="MsoNormal"><span style="font-size:10.0pt;font-family:Arial">[1c] …</span></p><p class="MsoNormal"><span style="font-size:10.0pt;font-family:Arial">In F.9.2,
append:</span></p><p class="MsoNormal"><span style="font-size:10.0pt;font-family:Arial">[2] For
expressions of decimal floating types, transformations must preserve quantum
exponents, as well as numerical, infinity, and NaN values (5.4.2.2).</span></p><p class="MsoNormal"><span style="font-size:10.0pt;font-family:Arial">[3] EXAMPLE:<span style="mso-spacerun:yes"> </span><b style="mso-bidi-font-weight:normal">1.</b>
× <i>x</i> -> x is valid for decimal floating-point expressions x, but <b style="mso-bidi-font-weight:normal">1.0</b> × x -> x is not:</span></p><p class="MsoNormal"><span style="font-size:10.0pt;font-family:Arial">1. × 12.34
= (1, 1, 0) x (1, 1234, -2) = (1, 1234, -4) = 12.34</span></p><p class="MsoListParagraph" style="margin-left:.25in;mso-add-space:auto;
text-indent:-.25in;mso-list:l0 level1 lfo1"><!--[if !supportLists]--><span style="font-size:10.0pt;font-family:Arial;mso-fareast-font-family:Arial"><span style="mso-list:Ignore">1.0<span style="font:7.0pt "Times New Roman""> </span></span></span><!--[endif]--><span style="font-size:10.0pt;font-family:Arial">× 12.34 = (1, 10, -1) x (1, 1234,
-2) = (1, 12340, -5) = 12.340</span></p><p class="MsoNormal"><span style="font-size:10.0pt;font-family:Arial">The results
are numerically equal, but have different quantum exponents, hence have
different values.<o:p></o:p></span></p><p class="MsoNormal"><span style="font-size:10.0pt;font-family:Arial"><o:p> </o:p></span></p><p class="MsoNormal"><span style="font-size:10.0pt;font-family:Arial"><o:p> </o:p></span></p>
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