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<title>Obtaining the Size of a Unit In the Last Place - ULP</title>
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<meta name="generator" content="DocBook XSL Stylesheets V1.79.1">
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<link rel="home" href="../../index.html" title="Math Toolkit 4.1.0">
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<link rel="home" href="../../index.html" title="Math Toolkit 4.1.1">
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<link rel="up" href="../next_float.html" title="Floating-Point Representation Distance (ULP), and Finding Adjacent Floating-Point Values">
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<link rel="prev" href="float_advance.html" title="Advancing a floating-point Value by a Specific Representation Distance (ULP) float_advance">
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<table cellpadding="2" width="100%"><tr>
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@@ -109,11 +110,10 @@
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When the argument becomes very small, it may be that there is no floating-point
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value that represents one ULP. Whether this is the case or not depends
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not only on whether the hardware may <span class="emphasis"><em>sometimes</em></span> support
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denormals (as signalled by <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">numeric_limits</span><span class="special"><</span><span class="identifier">FPT</span><span class="special">>::</span><span class="identifier">has_denorm</span></code>),
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but also whether these are currently enabled at runtime (for example
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on SSE hardware, the DAZ or FTZ flags will disable denormal support).
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In this situation, the <code class="computeroutput"><span class="identifier">ulp</span></code>
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function may return a value that is many orders of magnitude too large.
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denormals (as signalled by <code class="computeroutput"><span class="identifier">boost</span><span class="special">::</span><span class="identifier">math</span><span class="special">::</span><span class="identifier">detail</span><span class="special">::</span><span class="identifier">has_denorm_now</span><span class="special"><</span><span class="identifier">FPT</span><span class="special">>()</span></code>), but also whether these are currently
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enabled at runtime (for example on SSE hardware, the DAZ or FTZ flags
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will disable denormal support). In this situation, the <code class="computeroutput"><span class="identifier">ulp</span></code> function may return a value that
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is many orders of magnitude too large.
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</li>
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</ul></div>
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<p>
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@@ -145,9 +145,7 @@
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x<sub>c</sub>) / ulp(x<sub>t</sub>)</code>.
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</p>
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</div>
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<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
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<td align="left"></td>
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<td align="right"><div class="copyright-footer">Copyright © 2006-2021 Nikhar Agrawal, Anton Bikineev, Matthew Borland,
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<div class="copyright-footer">Copyright © 2006-2021 Nikhar Agrawal, Anton Bikineev, Matthew Borland,
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Paul A. Bristow, Marco Guazzone, Christopher Kormanyos, Hubert Holin, Bruno
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Lalande, John Maddock, Evan Miller, Jeremy Murphy, Matthew Pulver, Johan Råde,
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Gautam Sewani, Benjamin Sobotta, Nicholas Thompson, Thijs van den Berg, Daryle
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@@ -155,8 +153,7 @@
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Distributed under the Boost Software License, Version 1.0. (See accompanying
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file LICENSE_1_0.txt or copy at <a href="http://www.boost.org/LICENSE_1_0.txt" target="_top">http://www.boost.org/LICENSE_1_0.txt</a>)
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</p>
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</div></td>
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</tr></table>
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</div>
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