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<div class="titlepage"><div><div><h4 class="title">
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<a name="boost_multiprecision.tut.interval.mpfi"></a><a class="link" href="mpfi.html" title="mpfi_float">mpfi_float</a>
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</h4></div></div></div>
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<p>
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<code class="computeroutput"><span class="preprocessor">#include</span> <span class="special"><</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">multiprecision</span><span class="special">/</span><span class="identifier">mpfi</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">></span></code>
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</p>
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<pre class="programlisting"><span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">{</span> <span class="keyword">namespace</span> <span class="identifier">multiprecision</span><span class="special">{</span>
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<span class="keyword">template</span> <span class="special"><</span><span class="keyword">unsigned</span> <span class="identifier">Digits10</span><span class="special">></span>
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<span class="keyword">class</span> <span class="identifier">mpfi_float_backend</span><span class="special">;</span>
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<span class="keyword">typedef</span> <span class="identifier">number</span><span class="special"><</span><span class="identifier">mpfi_float_backend</span><span class="special"><</span><span class="number">50</span><span class="special">></span> <span class="special">></span> <span class="identifier">mpfi_float_50</span><span class="special">;</span>
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<span class="keyword">typedef</span> <span class="identifier">number</span><span class="special"><</span><span class="identifier">mpfi_float_backend</span><span class="special"><</span><span class="number">100</span><span class="special">></span> <span class="special">></span> <span class="identifier">mpfifloat_100</span><span class="special">;</span>
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<span class="keyword">typedef</span> <span class="identifier">number</span><span class="special"><</span><span class="identifier">mpfi_float_backend</span><span class="special"><</span><span class="number">500</span><span class="special">></span> <span class="special">></span> <span class="identifier">mpfifloat_500</span><span class="special">;</span>
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<span class="keyword">typedef</span> <span class="identifier">number</span><span class="special"><</span><span class="identifier">mpfi_float_backend</span><span class="special"><</span><span class="number">1000</span><span class="special">></span> <span class="special">></span> <span class="identifier">mpfi_float_1000</span><span class="special">;</span>
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<span class="keyword">typedef</span> <span class="identifier">number</span><span class="special"><</span><span class="identifier">mpfi_float_backend</span><span class="special"><</span><span class="number">0</span><span class="special">></span> <span class="special">></span> <span class="identifier">mpfi_float</span><span class="special">;</span>
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<span class="special">}}</span> <span class="comment">// namespaces</span>
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</pre>
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<p>
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The <code class="computeroutput"><span class="identifier">mpfi_float_backend</span></code>
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type is used in conjunction with <code class="computeroutput"><span class="identifier">number</span></code>:
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It acts as a thin wrapper around the <a href="http://perso.ens-lyon.fr/nathalie.revol/software.html" target="_top">MPFI</a>
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<code class="computeroutput"><span class="identifier">mpfi_t</span></code> to provide an real-number
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type that is a drop-in replacement for the native C++ floating-point types,
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but with much greater precision and implementing interval arithmetic.
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</p>
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<p>
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Type <code class="computeroutput"><span class="identifier">mpfi_float_backend</span></code>
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can be used at fixed precision by specifying a non-zero <code class="computeroutput"><span class="identifier">Digits10</span></code>
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template parameter, or at variable precision by setting the template argument
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to zero. The <code class="computeroutput"><span class="keyword">typedef</span></code>s <code class="computeroutput"><span class="identifier">mpfi_float_50</span></code>, <code class="computeroutput"><span class="identifier">mpfi_float_100</span></code>,
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<code class="computeroutput"><span class="identifier">mpfi_float_500</span></code>, <code class="computeroutput"><span class="identifier">mpfi_float_1000</span></code> provide arithmetic types
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at 50, 100, 500 and 1000 decimal digits precision respectively. The <code class="computeroutput"><span class="keyword">typedef</span> <span class="identifier">mpfi_float</span></code>
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provides a variable precision type whose precision can be controlled via
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theF <code class="computeroutput"><span class="identifier">number</span></code>s member functions.
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</p>
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<div class="note"><table border="0" summary="Note">
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<tr>
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<td rowspan="2" align="center" valign="top" width="25"><img alt="[Note]" src="../../../../../../../doc/src/images/note.png"></td>
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<th align="left">Note</th>
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</tr>
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<tr><td align="left" valign="top"><p>
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This type only provides <code class="computeroutput"><span class="identifier">numeric_limits</span></code>
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support when the precision is fixed at compile time.
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</p></td></tr>
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</table></div>
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<p>
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As well as the usual conversions from arithmetic and string types, instances
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of <code class="computeroutput"><span class="identifier">number</span><span class="special"><</span><span class="identifier">mpfi_float_backend</span><span class="special"><</span><span class="identifier">N</span><span class="special">></span> <span class="special">></span></code> are copy constructible and assignable
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from:
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</p>
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<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
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<li class="listitem">
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The <a href="http://perso.ens-lyon.fr/nathalie.revol/software.html" target="_top">MPFI</a>
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native type <code class="computeroutput"><span class="identifier">mpfi_t</span></code>.
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</li>
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<li class="listitem">
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The <code class="computeroutput"><span class="identifier">number</span></code> wrappers
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around <a href="http://perso.ens-lyon.fr/nathalie.revol/software.html" target="_top">MPFI</a>
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or <a href="http://www.mpfr.org" target="_top">MPFR</a>: <code class="computeroutput"><span class="identifier">number</span><span class="special"><</span><span class="identifier">mpfi_float_backend</span><span class="special"><</span><span class="identifier">M</span><span class="special">></span> <span class="special">></span></code>
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and <code class="computeroutput"><span class="identifier">number</span><span class="special"><</span><span class="identifier">mpfr_float</span><span class="special"><</span><span class="identifier">M</span><span class="special">></span> <span class="special">></span></code>.
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</li>
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<li class="listitem">
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There is a two argument constructor taking two <code class="computeroutput"><span class="identifier">number</span><span class="special"><</span><span class="identifier">mpfr_float</span><span class="special"><</span><span class="identifier">M</span><span class="special">></span> <span class="special">></span></code>
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arguments specifying the interval.
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</li>
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</ul></div>
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<p>
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It's also possible to access the underlying <code class="computeroutput"><span class="identifier">mpfi_t</span></code>
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via the <code class="computeroutput"><span class="identifier">data</span><span class="special">()</span></code>
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member function of <code class="computeroutput"><span class="identifier">mpfi_float_backend</span></code>.
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</p>
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<p>
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Things you should know when using this type:
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</p>
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<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
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<li class="listitem">
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A default constructed <code class="computeroutput"><span class="identifier">mpfi_float_backend</span></code>
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is set to zero (<span class="emphasis"><em>Note that this is <span class="bold"><strong>not</strong></span>
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the default <a href="http://perso.ens-lyon.fr/nathalie.revol/software.html" target="_top">MPFI</a>
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behavior</em></span>).
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</li>
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<li class="listitem">
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No changes are made to <a href="http://gmplib.org" target="_top">GMP</a> or
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<a href="http://www.mpfr.org" target="_top">MPFR</a> global settings, so this
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type can coexist with existing <a href="http://www.mpfr.org" target="_top">MPFR</a>
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or <a href="http://gmplib.org" target="_top">GMP</a> code.
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</li>
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<li class="listitem">
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The code can equally use <a href="http://mpir.org/" target="_top">MPIR</a>
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in place of <a href="http://gmplib.org" target="_top">GMP</a> - indeed that
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is the preferred option on Win32.
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</li>
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<li class="listitem">
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This backend supports rvalue-references and is move-aware, making instantiations
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of <code class="computeroutput"><span class="identifier">number</span></code> on this backend
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move aware.
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</li>
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<li class="listitem">
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Conversion from a string results in a <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">runtime_error</span></code>
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being thrown if the string can not be interpreted as a valid floating-point
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number.
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</li>
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<li class="listitem">
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Division by zero results in an infinity.
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</li>
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</ul></div>
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<p>
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There are some additional non member functions for working on intervals:
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</p>
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<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">unsigned</span> <span class="identifier">Digits10</span><span class="special">,</span> <span class="identifier">expression_template_option</span> <span class="identifier">ExpressionTemplates</span><span class="special">></span>
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<span class="identifier">number</span><span class="special"><</span><span class="identifier">mpfr_float_backend</span><span class="special"><</span><span class="identifier">Digits10</span><span class="special">>,</span> <span class="identifier">ExpressionTemplates</span><span class="special">></span> <span class="identifier">lower</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">number</span><span class="special"><</span><span class="identifier">mpfi_float_backend</span><span class="special"><</span><span class="identifier">Digits10</span><span class="special">>,</span> <span class="identifier">ExpressionTemplates</span><span class="special">>&</span> <span class="identifier">val</span><span class="special">);</span>
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</pre>
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<p>
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Returns the lower end of the interval.
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</p>
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<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">unsigned</span> <span class="identifier">Digits10</span><span class="special">,</span> <span class="identifier">expression_template_option</span> <span class="identifier">ExpressionTemplates</span><span class="special">></span>
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<span class="identifier">number</span><span class="special"><</span><span class="identifier">mpfr_float_backend</span><span class="special"><</span><span class="identifier">Digits10</span><span class="special">>,</span> <span class="identifier">ExpressionTemplates</span><span class="special">></span> <span class="identifier">upper</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">number</span><span class="special"><</span><span class="identifier">mpfi_float_backend</span><span class="special"><</span><span class="identifier">Digits10</span><span class="special">>,</span> <span class="identifier">ExpressionTemplates</span><span class="special">>&</span> <span class="identifier">val</span><span class="special">);</span>
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</pre>
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<p>
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Returns the upper end of the interval.
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</p>
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<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">unsigned</span> <span class="identifier">Digits10</span><span class="special">,</span> <span class="identifier">expression_template_option</span> <span class="identifier">ExpressionTemplates</span><span class="special">></span>
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||
<span class="identifier">number</span><span class="special"><</span><span class="identifier">mpfr_float_backend</span><span class="special"><</span><span class="identifier">Digits10</span><span class="special">>,</span> <span class="identifier">ExpressionTemplates</span><span class="special">></span> <span class="identifier">median</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">number</span><span class="special"><</span><span class="identifier">mpfi_float_backend</span><span class="special"><</span><span class="identifier">Digits10</span><span class="special">>,</span> <span class="identifier">ExpressionTemplates</span><span class="special">>&</span> <span class="identifier">val</span><span class="special">);</span>
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</pre>
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<p>
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Returns the mid point of the interval.
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</p>
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<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">unsigned</span> <span class="identifier">Digits10</span><span class="special">,</span> <span class="identifier">expression_template_option</span> <span class="identifier">ExpressionTemplates</span><span class="special">></span>
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<span class="identifier">number</span><span class="special"><</span><span class="identifier">mpfr_float_backend</span><span class="special"><</span><span class="identifier">Digits10</span><span class="special">>,</span> <span class="identifier">ExpressionTemplates</span><span class="special">></span> <span class="identifier">width</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">number</span><span class="special"><</span><span class="identifier">mpfi_float_backend</span><span class="special"><</span><span class="identifier">Digits10</span><span class="special">>,</span> <span class="identifier">ExpressionTemplates</span><span class="special">>&</span> <span class="identifier">val</span><span class="special">);</span>
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</pre>
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<p>
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Returns the absolute width of the interval.
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</p>
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<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">unsigned</span> <span class="identifier">Digits10</span><span class="special">,</span> <span class="identifier">expression_template_option</span> <span class="identifier">ExpressionTemplates</span><span class="special">></span>
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<span class="identifier">number</span><span class="special"><</span><span class="identifier">mpfi_float_backend</span><span class="special"><</span><span class="identifier">Digits10</span><span class="special">>,</span> <span class="identifier">ExpressionTemplates</span><span class="special">></span> <span class="identifier">intersect</span><span class="special">(</span>
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<span class="keyword">const</span> <span class="identifier">number</span><span class="special"><</span><span class="identifier">mpfi_float_backend</span><span class="special"><</span><span class="identifier">Digits10</span><span class="special">>,</span> <span class="identifier">ExpressionTemplates</span><span class="special">>&</span> <span class="identifier">a</span><span class="special">,</span>
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<span class="keyword">const</span> <span class="identifier">number</span><span class="special"><</span><span class="identifier">mpfi_float_backend</span><span class="special"><</span><span class="identifier">Digits10</span><span class="special">>,</span> <span class="identifier">ExpressionTemplates</span><span class="special">>&</span> <span class="identifier">b</span><span class="special">);</span>
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</pre>
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<p>
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Returns the interval which is the intersection of the <span class="emphasis"><em>a</em></span>
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and <span class="emphasis"><em>b</em></span>. Returns an unspecified empty interval if there
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is no such intersection.
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</p>
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<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">unsigned</span> <span class="identifier">Digits10</span><span class="special">,</span> <span class="identifier">expression_template_option</span> <span class="identifier">ExpressionTemplates</span><span class="special">></span>
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<span class="identifier">number</span><span class="special"><</span><span class="identifier">mpfi_float_backend</span><span class="special"><</span><span class="identifier">Digits10</span><span class="special">>,</span> <span class="identifier">ExpressionTemplates</span><span class="special">></span> <span class="identifier">hull</span><span class="special">(</span>
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<span class="keyword">const</span> <span class="identifier">number</span><span class="special"><</span><span class="identifier">mpfi_float_backend</span><span class="special"><</span><span class="identifier">Digits10</span><span class="special">>,</span> <span class="identifier">ExpressionTemplates</span><span class="special">>&</span> <span class="identifier">a</span><span class="special">,</span>
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<span class="keyword">const</span> <span class="identifier">number</span><span class="special"><</span><span class="identifier">mpfi_float_backend</span><span class="special"><</span><span class="identifier">Digits10</span><span class="special">>,</span> <span class="identifier">ExpressionTemplates</span><span class="special">>&</span> <span class="identifier">b</span><span class="special">);</span>
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</pre>
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<p>
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Returns the interval which is the union of <span class="emphasis"><em>a</em></span> and
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||
<span class="emphasis"><em>b</em></span>.
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</p>
|
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<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">unsigned</span> <span class="identifier">Digits10</span><span class="special">,</span> <span class="identifier">expression_template_option</span> <span class="identifier">ExpressionTemplates</span><span class="special">></span>
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<span class="keyword">bool</span> <span class="identifier">overlap</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">number</span><span class="special"><</span><span class="identifier">mpfi_float_backend</span><span class="special"><</span><span class="identifier">Digits10</span><span class="special">>,</span> <span class="identifier">ExpressionTemplates</span><span class="special">>&</span> <span class="identifier">a</span><span class="special">,</span>
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||
<span class="keyword">const</span> <span class="identifier">number</span><span class="special"><</span><span class="identifier">mpfi_float_backend</span><span class="special"><</span><span class="identifier">Digits10</span><span class="special">>,</span> <span class="identifier">ExpressionTemplates</span><span class="special">>&</span> <span class="identifier">b</span><span class="special">);</span>
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</pre>
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<p>
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||
Returns <code class="computeroutput"><span class="keyword">true</span></code> only if the intervals
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||
<span class="emphasis"><em>a</em></span> and <span class="emphasis"><em>b</em></span> overlap.
|
||
</p>
|
||
<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">unsigned</span> <span class="identifier">Digits10</span><span class="special">,</span> <span class="identifier">expression_template_option</span> <span class="identifier">ExpressionTemplates1</span><span class="special">,</span> <span class="identifier">expression_template_option</span> <span class="identifier">ExpressionTemplates2</span><span class="special">></span>
|
||
<span class="keyword">bool</span> <span class="identifier">in</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">number</span><span class="special"><</span><span class="identifier">mpfr_float_backend</span><span class="special"><</span><span class="identifier">Digits10</span><span class="special">>,</span> <span class="identifier">ExpressionTemplates1</span><span class="special">>&</span> <span class="identifier">a</span><span class="special">,</span>
|
||
<span class="keyword">const</span> <span class="identifier">number</span><span class="special"><</span><span class="identifier">mpfi_float_backend</span><span class="special"><</span><span class="identifier">Digits10</span><span class="special">>,</span> <span class="identifier">ExpressionTemplates2</span><span class="special">>&</span> <span class="identifier">b</span><span class="special">);</span>
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</pre>
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<p>
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Returns <code class="computeroutput"><span class="keyword">true</span></code> only if point
|
||
<span class="emphasis"><em>a</em></span> is contained within the interval <span class="emphasis"><em>b</em></span>.
|
||
</p>
|
||
<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">unsigned</span> <span class="identifier">Digits10</span><span class="special">,</span> <span class="identifier">expression_template_option</span> <span class="identifier">ExpressionTemplates</span><span class="special">></span>
|
||
<span class="keyword">bool</span> <span class="identifier">zero_in</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">number</span><span class="special"><</span><span class="identifier">mpfi_float_backend</span><span class="special"><</span><span class="identifier">Digits10</span><span class="special">>,</span> <span class="identifier">ExpressionTemplates</span><span class="special">>&</span> <span class="identifier">a</span><span class="special">);</span>
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||
</pre>
|
||
<p>
|
||
Returns <code class="computeroutput"><span class="keyword">true</span></code> only if the interval
|
||
<span class="emphasis"><em>a</em></span> contains the value zero.
|
||
</p>
|
||
<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">unsigned</span> <span class="identifier">Digits10</span><span class="special">,</span> <span class="identifier">expression_template_option</span> <span class="identifier">ExpressionTemplates</span><span class="special">></span>
|
||
<span class="keyword">bool</span> <span class="identifier">subset</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">number</span><span class="special"><</span><span class="identifier">mpfi_float_backend</span><span class="special"><</span><span class="identifier">Digits10</span><span class="special">>,</span> <span class="identifier">ExpressionTemplates</span><span class="special">>&</span> <span class="identifier">a</span><span class="special">,</span>
|
||
<span class="keyword">const</span> <span class="identifier">number</span><span class="special"><</span><span class="identifier">mpfi_float_backend</span><span class="special"><</span><span class="identifier">Digits10</span><span class="special">>,</span> <span class="identifier">ExpressionTemplates</span><span class="special">>&</span> <span class="identifier">b</span><span class="special">);</span>
|
||
</pre>
|
||
<p>
|
||
Returns <code class="computeroutput"><span class="keyword">true</span></code> only if <span class="emphasis"><em>a</em></span>
|
||
is a subset of <span class="emphasis"><em>b</em></span>.
|
||
</p>
|
||
<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">unsigned</span> <span class="identifier">Digits10</span><span class="special">,</span> <span class="identifier">expression_template_option</span> <span class="identifier">ExpressionTemplates</span><span class="special">></span>
|
||
<span class="keyword">bool</span> <span class="identifier">proper_subset</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">number</span><span class="special"><</span><span class="identifier">mpfi_float_backend</span><span class="special"><</span><span class="identifier">Digits10</span><span class="special">>,</span> <span class="identifier">ExpressionTemplates</span><span class="special">>&</span> <span class="identifier">a</span><span class="special">,</span>
|
||
<span class="keyword">const</span> <span class="identifier">number</span><span class="special"><</span><span class="identifier">mpfi_float_backend</span><span class="special"><</span><span class="identifier">Digits10</span><span class="special">>,</span> <span class="identifier">ExpressionTemplates</span><span class="special">>&</span> <span class="identifier">b</span><span class="special">);</span>
|
||
</pre>
|
||
<p>
|
||
Returns <code class="computeroutput"><span class="keyword">true</span></code> only if <span class="emphasis"><em>a</em></span>
|
||
is a proper subset of <span class="emphasis"><em>b</em></span>.
|
||
</p>
|
||
<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">unsigned</span> <span class="identifier">Digits10</span><span class="special">,</span> <span class="identifier">expression_template_option</span> <span class="identifier">ExpressionTemplates</span><span class="special">></span>
|
||
<span class="keyword">bool</span> <span class="identifier">empty</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">number</span><span class="special"><</span><span class="identifier">mpfi_float_backend</span><span class="special"><</span><span class="identifier">Digits10</span><span class="special">>,</span> <span class="identifier">ExpressionTemplates</span><span class="special">>&</span> <span class="identifier">a</span><span class="special">);</span>
|
||
</pre>
|
||
<p>
|
||
Returns <code class="computeroutput"><span class="keyword">true</span></code> only if <span class="emphasis"><em>a</em></span>
|
||
is an empty interval, equivalent to <code class="computeroutput"><span class="identifier">upper</span><span class="special">(</span><span class="identifier">a</span><span class="special">)</span>
|
||
<span class="special"><</span> <span class="identifier">lower</span><span class="special">(</span><span class="identifier">a</span><span class="special">)</span></code>.
|
||
</p>
|
||
<pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">unsigned</span> <span class="identifier">Digits10</span><span class="special">,</span> <span class="identifier">expression_template_option</span> <span class="identifier">ExpressionTemplates</span><span class="special">></span>
|
||
<span class="keyword">bool</span> <span class="identifier">singleton</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">number</span><span class="special"><</span><span class="identifier">mpfi_float_backend</span><span class="special"><</span><span class="identifier">Digits10</span><span class="special">>,</span> <span class="identifier">ExpressionTemplates</span><span class="special">>&</span> <span class="identifier">a</span><span class="special">);</span>
|
||
</pre>
|
||
<p>
|
||
Returns <code class="computeroutput"><span class="keyword">true</span></code> if <code class="computeroutput"><span class="identifier">lower</span><span class="special">(</span><span class="identifier">a</span><span class="special">)</span> <span class="special">==</span>
|
||
<span class="identifier">upper</span><span class="special">(</span><span class="identifier">a</span><span class="special">)</span></code>.
|
||
</p>
|
||
<h6>
|
||
<a name="boost_multiprecision.tut.interval.mpfi.h0"></a>
|
||
<span class="phrase"><a name="boost_multiprecision.tut.interval.mpfi.mpfi_example"></a></span><a class="link" href="mpfi.html#boost_multiprecision.tut.interval.mpfi.mpfi_example"> MPFI
|
||
example:</a>
|
||
</h6>
|
||
<pre class="programlisting"><span class="preprocessor">#include</span> <span class="special"><</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">multiprecision</span><span class="special">/</span><span class="identifier">mpfi</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">></span>
|
||
<span class="preprocessor">#include</span> <span class="special"><</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">math</span><span class="special">/</span><span class="identifier">special_functions</span><span class="special">/</span><span class="identifier">gamma</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">></span>
|
||
<span class="preprocessor">#include</span> <span class="special"><</span><span class="identifier">iostream</span><span class="special">></span>
|
||
|
||
<span class="keyword">int</span> <span class="identifier">main</span><span class="special">()</span>
|
||
<span class="special">{</span>
|
||
<span class="keyword">using</span> <span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">multiprecision</span><span class="special">;</span>
|
||
|
||
<span class="comment">// Operations at variable precision and no numeric_limits support:</span>
|
||
<span class="identifier">mpfi_float</span> <span class="identifier">a</span> <span class="special">=</span> <span class="number">2</span><span class="special">;</span>
|
||
<span class="identifier">mpfi_float</span><span class="special">::</span><span class="identifier">default_precision</span><span class="special">(</span><span class="number">1000</span><span class="special">);</span>
|
||
<span class="identifier">std</span><span class="special">::</span><span class="identifier">cout</span> <span class="special"><<</span> <span class="identifier">mpfi_float</span><span class="special">::</span><span class="identifier">default_precision</span><span class="special">()</span> <span class="special"><<</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">endl</span><span class="special">;</span>
|
||
<span class="identifier">std</span><span class="special">::</span><span class="identifier">cout</span> <span class="special"><<</span> <span class="identifier">sqrt</span><span class="special">(</span><span class="identifier">a</span><span class="special">)</span> <span class="special"><<</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">endl</span><span class="special">;</span> <span class="comment">// print root-2</span>
|
||
|
||
<span class="comment">// Operations at fixed precision and full numeric_limits support:</span>
|
||
<span class="identifier">mpfi_float_100</span> <span class="identifier">b</span> <span class="special">=</span> <span class="number">2</span><span class="special">;</span>
|
||
<span class="identifier">std</span><span class="special">::</span><span class="identifier">cout</span> <span class="special"><<</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">numeric_limits</span><span class="special"><</span><span class="identifier">mpfi_float_100</span><span class="special">>::</span><span class="identifier">digits</span> <span class="special"><<</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">endl</span><span class="special">;</span>
|
||
<span class="comment">// We can use any C++ std lib function:</span>
|
||
<span class="identifier">std</span><span class="special">::</span><span class="identifier">cout</span> <span class="special"><<</span> <span class="identifier">log</span><span class="special">(</span><span class="identifier">b</span><span class="special">)</span> <span class="special"><<</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">endl</span><span class="special">;</span> <span class="comment">// print log(2)</span>
|
||
|
||
<span class="comment">// Access the underlying data:</span>
|
||
<span class="identifier">mpfi_t</span> <span class="identifier">r</span><span class="special">;</span>
|
||
<span class="identifier">mpfi_init</span><span class="special">(</span><span class="identifier">r</span><span class="special">);</span>
|
||
<span class="identifier">mpfi_set</span><span class="special">(</span><span class="identifier">r</span><span class="special">,</span> <span class="identifier">b</span><span class="special">.</span><span class="identifier">backend</span><span class="special">().</span><span class="identifier">data</span><span class="special">());</span>
|
||
|
||
<span class="comment">// Construct some explicit intervals and perform set operations:</span>
|
||
<span class="identifier">mpfi_float_50</span> <span class="identifier">i1</span><span class="special">(</span><span class="number">1</span><span class="special">,</span> <span class="number">2</span><span class="special">),</span> <span class="identifier">i2</span><span class="special">(</span><span class="number">1.5</span><span class="special">,</span> <span class="number">2.5</span><span class="special">);</span>
|
||
<span class="identifier">std</span><span class="special">::</span><span class="identifier">cout</span> <span class="special"><<</span> <span class="identifier">intersect</span><span class="special">(</span><span class="identifier">i1</span><span class="special">,</span> <span class="identifier">i2</span><span class="special">)</span> <span class="special"><<</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">endl</span><span class="special">;</span>
|
||
<span class="identifier">std</span><span class="special">::</span><span class="identifier">cout</span> <span class="special"><<</span> <span class="identifier">hull</span><span class="special">(</span><span class="identifier">i1</span><span class="special">,</span> <span class="identifier">i2</span><span class="special">)</span> <span class="special"><<</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">endl</span><span class="special">;</span>
|
||
<span class="identifier">std</span><span class="special">::</span><span class="identifier">cout</span> <span class="special"><<</span> <span class="identifier">overlap</span><span class="special">(</span><span class="identifier">i1</span><span class="special">,</span> <span class="identifier">i2</span><span class="special">)</span> <span class="special"><<</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">endl</span><span class="special">;</span>
|
||
<span class="identifier">std</span><span class="special">::</span><span class="identifier">cout</span> <span class="special"><<</span> <span class="identifier">subset</span><span class="special">(</span><span class="identifier">i1</span><span class="special">,</span> <span class="identifier">i2</span><span class="special">)</span> <span class="special"><<</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">endl</span><span class="special">;</span>
|
||
<span class="identifier">mpfi_clear</span><span class="special">(</span><span class="identifier">r</span><span class="special">);</span>
|
||
<span class="keyword">return</span> <span class="number">0</span><span class="special">;</span>
|
||
<span class="special">}</span>
|
||
</pre>
|
||
</div>
|
||
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
|
||
<td align="left"></td>
|
||
<td align="right"><div class="copyright-footer">Copyright © 2002-2020 John
|
||
Maddock and Christopher Kormanyos<p>
|
||
Distributed under the Boost Software License, Version 1.0. (See accompanying
|
||
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>)
|
||
</p>
|
||
</div></td>
|
||
</tr></table>
|
||
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