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<div class="titlepage"><div><div><h3 class="title">
<a name="boost_multiprecision.tut.floats"></a><a class="link" href="floats.html" title="floating-point Numbers">floating-point Numbers</a>
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<dt><span class="section"><a href="floats/cpp_bin_float.html">cpp_bin_float</a></span></dt>
<dt><span class="section"><a href="floats/cpp_dec_float.html">cpp_dec_float</a></span></dt>
<dt><span class="section"><a href="floats/gmp_float.html">gmp_float</a></span></dt>
<dt><span class="section"><a href="floats/mpfr_float.html">mpfr_float</a></span></dt>
<dt><span class="section"><a href="floats/float128.html">float128</a></span></dt>
<dt><span class="section"><a href="floats/fp_eg.html">Examples</a></span></dt>
<dd><dl>
<dt><span class="section"><a href="floats/fp_eg/aos.html">Area of
Circle</a></span></dt>
<dt><span class="section"><a href="floats/fp_eg/jel.html">Defining
a Special Function.</a></span></dt>
<dt><span class="section"><a href="floats/fp_eg/nd.html">Calculating
a Derivative</a></span></dt>
<dt><span class="section"><a href="floats/fp_eg/gi.html">Calculating
an Integral</a></span></dt>
<dt><span class="section"><a href="floats/fp_eg/poly_eg.html">Polynomial
Evaluation</a></span></dt>
<dt><span class="section"><a href="floats/fp_eg/variable_precision.html">Variable
Precision Newton Evaluation</a></span></dt>
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<p>
The following back-ends provide floating-point arithmetic:
</p>
<div class="informaltable"><table class="table">
<colgroup>
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<thead><tr>
<th>
<p>
Backend Type
</p>
</th>
<th>
<p>
Header
</p>
</th>
<th>
<p>
Radix
</p>
</th>
<th>
<p>
Dependencies
</p>
</th>
<th>
<p>
Pros
</p>
</th>
<th>
<p>
Cons
</p>
</th>
</tr></thead>
<tbody>
<tr>
<td>
<p>
<code class="computeroutput"><span class="identifier">cpp_bin_float</span><span class="special">&lt;</span><span class="identifier">N</span><span class="special">&gt;</span></code>
</p>
</td>
<td>
<p>
boost/multiprecision/cpp_bin_float.hpp
</p>
</td>
<td>
<p>
2
</p>
</td>
<td>
<p>
None
</p>
</td>
<td>
<p>
Header only, all C++ implementation. Boost licence.
</p>
</td>
<td>
<p>
Approximately 2x slower than the <a href="http://www.mpfr.org" target="_top">MPFR</a>
or <a href="http://gmplib.org" target="_top">GMP</a> libraries.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="computeroutput"><span class="identifier">cpp_dec_float</span><span class="special">&lt;</span><span class="identifier">N</span><span class="special">&gt;</span></code>
</p>
</td>
<td>
<p>
boost/multiprecision/cpp_dec_float.hpp
</p>
</td>
<td>
<p>
10
</p>
</td>
<td>
<p>
None
</p>
</td>
<td>
<p>
Header only, all C++ implementation. Boost licence.
</p>
</td>
<td>
<p>
Approximately 2x slower than the <a href="http://www.mpfr.org" target="_top">MPFR</a>
or <a href="http://gmplib.org" target="_top">GMP</a> libraries.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="computeroutput"><span class="identifier">mpf_float</span><span class="special">&lt;</span><span class="identifier">N</span><span class="special">&gt;</span></code>
</p>
</td>
<td>
<p>
boost/multiprecision/gmp.hpp
</p>
</td>
<td>
<p>
2
</p>
</td>
<td>
<p>
<a href="http://gmplib.org" target="_top">GMP</a>
</p>
</td>
<td>
<p>
Very fast and efficient back-end.
</p>
</td>
<td>
<p>
Dependency on GNU licensed <a href="http://gmplib.org" target="_top">GMP</a>
library.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="computeroutput"><span class="identifier">mpfr_float</span><span class="special">&lt;</span><span class="identifier">N</span><span class="special">&gt;</span></code>
</p>
</td>
<td>
<p>
boost/multiprecision/mpfr.hpp
</p>
</td>
<td>
<p>
2
</p>
</td>
<td>
<p>
<a href="http://gmplib.org" target="_top">GMP</a> and <a href="http://www.mpfr.org" target="_top">MPFR</a>
</p>
</td>
<td>
<p>
Very fast and efficient back-end, with its own standard library
implementation.
</p>
</td>
<td>
<p>
Dependency on GNU licensed <a href="http://gmplib.org" target="_top">GMP</a>
and <a href="http://www.mpfr.org" target="_top">MPFR</a> libraries.
</p>
</td>
</tr>
<tr>
<td>
<p>
<code class="computeroutput"><span class="identifier">float128</span></code>
</p>
</td>
<td>
<p>
boost/multiprecision/float128.hpp
</p>
</td>
<td>
<p>
2
</p>
</td>
<td>
<p>
Either <a href="http://gcc.gnu.org/onlinedocs/libquadmath/" target="_top">libquadmath</a>
or the Intel C++ Math library.
</p>
</td>
<td>
<p>
Very fast and efficient back-end for 128-bit floating-point values
(113-bit mantissa, equivalent to FORTRAN's QUAD real)
</p>
</td>
<td>
<p>
Depends on the compiler being either recent GCC or Intel C++ versions.
</p>
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