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Retidy, removing align=left from headings and empty paragraphs

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James Gregory 2013-12-30 15:37:13 +11:00
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<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN"
"http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
<!DOCTYPE html>
<html xmlns="http://www.w3.org/1999/xhtml">
<head>
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<center>
<table border="1">
<tr>
<td><a href="63-03.html">Previous</a></td>
<td>
<a href="63-03.html">Previous</a>
</td>
<td><a href="index.html">Table of Contents</a></td>
<td>
<a href="index.html">Table of Contents</a>
</td>
<td><a href="64-01.html">Next</a></td>
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<a href="64-01.html">Next</a>
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</center>
<p><br /></p>
<p>When it comes to implementation, however, transformation is quite different from three separate dot products and additions, because once again the magic number <i>three</i> is involved. Three separate dot products and additions would take 60 cycles if each were calculated using the unoptimized dot-product code of Listing 63.2, and would take 54 cycles if done one after the other using the faster dot-product code of Listing 63.3, in each case followed by the a final addition per dot product.</p>
<p>When fully interleaved, however, only a single cycle is lost (again to the extra cycle of FST latency), and the cycle count drops to 34, as shown in Listing 63.6. This means that on a 100 MHz Pentium, it&rsquo;s theoretically possible to do nearly 3,000,000 transforms per second, although that&rsquo;s a purely hypothetical number, due to cache effects and set-up costs. Still, more than 1,000,000 transforms per second is certainly feasible; at a frame rate of 30 Hz, that&rsquo;s an impressive 30,000 transforms per frame.</p>
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<p>And I won&rsquo;t miss it a bit.</p>
<p><br /></p>
<center>
<table border="1">
<tr>
<td><a href="63-03.html">Previous</a></td>
<td>
<a href="63-03.html">Previous</a>
</td>
<td><a href="index.html">Table of Contents</a></td>
<td>
<a href="index.html">Table of Contents</a>
</td>
<td><a href="64-01.html">Next</a></td>
<td>
<a href="64-01.html">Next</a>
</td>
</tr>
</table>
</center>