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<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>
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