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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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| <div class="toc"><dl> |
| <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> |
| </dl></dd> |
| </dl></div> |
| <p> |
| The following back-ends provide floating point arithmetic: |
| </p> |
| <div class="informaltable"><table class="table"> |
| <colgroup> |
| <col> |
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| <col> |
| <col> |
| <col> |
| <col> |
| </colgroup> |
| <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"><</span><span class="identifier">N</span><span class="special">></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"><</span><span class="identifier">N</span><span class="special">></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"><</span><span class="identifier">N</span><span class="special">></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"><</span><span class="identifier">N</span><span class="special">></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> |
| </td> |
| </tr> |
| </tbody> |
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