<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd"> <html xmlns="http://www.w3.org/1999/xhtml"> <head> <meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/> <title>libkate: Format - floating point value</title> <link href="tabs.css" rel="stylesheet" type="text/css"/> <link href="doxygen.css" rel="stylesheet" type="text/css"/> </head> <body> <!-- Generated by Doxygen 1.6.1 --> <div class="navigation" id="top"> <div class="tabs"> <ul> <li><a href="index.html"><span>Main Page</span></a></li> <li class="current"><a href="pages.html"><span>Related Pages</span></a></li> <li><a href="modules.html"><span>Modules</span></a></li> <li><a href="annotated.html"><span>Data Structures</span></a></li> <li><a href="files.html"><span>Files</span></a></li> <li><a href="examples.html"><span>Examples</span></a></li> </ul> </div> </div> <div class="contents"> <h1><a class="anchor" id="format_fp">Format - floating point value </a></h1><p>Floating point values are stored as a series of digitized fixed point values in the Kate bitstream format. Several distinct streams of floating point values may be saved at the same time. A stream has a constant format (number of bits saved per value). Streams may be merged together (eg, merging 2 streams of V values yields a single stream of 2*V values). Streams stored together always have the same number of values.</p> <p>When loading N streams, the bitstream format is as follows:</p> <ul> <li>1 bit, being 1 if the streams are merged.</li> </ul> <p>If the streams to load are merged, the different streams are stored as a single stream. In this case, N is set to 1, and the number of values is equal to the total number of values in all streams (eg, the original N times the number of values in a single stream).</p> <p>Then, for each stream:</p> <ul> <li>4bits being the number of zero bits in the high bits of the integer part of a number (`head'). </li> <li>4bits being the number of bits in the low bits of the fractional part of a number (`tail').</li> </ul> <p>Then, for each value:</p> <ul> <li>if head is strictly positive, a bit representing the sign of the number. </li> <li>32-(head+tail) bits, representing the middle bits of the absolute value of the number.</li> </ul> <p>Each number may then be reconstructed by concatenating the given number of high zero bits (`head'), the middle bits, the given number of low zero bits (`tail'), and negating the number if the sign bit was 1. </p> </div> <hr size="1"/><address style="text-align: right;"><small>Generated on Wed Dec 23 04:05:07 2009 for libkate by <a href="http://www.doxygen.org/index.html"> <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.6.1 </small></address> </body> </html>