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68 lines
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<div class="titlepage"><div><div><h3 class="title">
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<a name="math_toolkit.double_exponential.de_thread"></a><a class="link" href="de_thread.html" title="Thread Safety">Thread Safety</a>
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</h3></div></div></div>
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<p>
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All three of the double-exponential integrators are thread safe as long as
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BOOST_MATH_NO_ATOMIC_INT is not set. Since the integrators store a large
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amount of fairly hard to compute data, it is recommended that these objects
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are stored and reused as much as possible.
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</p>
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<p>
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Internally all three of the double-exponential integrators use the same caching
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strategy: they allocate all the vectors needed to store the maximum permitted
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levels, but only populate the first few levels when constructed. This means
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a minimal amount of memory is actually allocated when the integrator is first
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constructed, and already populated levels can be accessed via a lockfree
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atomic read, and only populating new levels requires a thread lock.
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</p>
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<p>
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In addition, the three built in types (plus <code class="computeroutput"><span class="identifier">__float128</span></code>
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when available), have the first 7 levels pre-computed: this is generally
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sufficient for the vast majority of integrals - even at quad precision -
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and means that integrators for these types are relatively cheap to construct.
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<td align="right"><div class="copyright-footer">Copyright © 2006-2019 Nikhar
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Agrawal, Anton Bikineev, Paul A. Bristow, Marco Guazzone, Christopher Kormanyos,
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Hubert Holin, Bruno Lalande, John Maddock, Jeremy Murphy, Matthew Pulver, Johan
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Råde, Gautam Sewani, Benjamin Sobotta, Nicholas Thompson, Thijs van den Berg,
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Daryle Walker and Xiaogang Zhang<p>
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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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