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| <a name="ratio.reference"></a><a class="link" href="reference.html" title="Reference">Reference </a> |
| </h2></div></div></div> |
| <div class="toc"><dl> |
| <dt><span class="section"><a href="reference.html#ratio.reference.std">C++0x Recommendation</a></span></dt> |
| <dt><span class="section"><a href="reference.html#ratio.reference.io">Ratio I/O</a></span></dt> |
| <dt><span class="section"><a href="reference.html#ratio.reference.mpl">Rational Constant</a></span></dt> |
| </dl></div> |
| <div class="section"> |
| <div class="titlepage"><div><div><h3 class="title"> |
| <a name="ratio.reference.std"></a><a class="link" href="reference.html#ratio.reference.std" title="C++0x Recommendation">C++0x Recommendation</a> |
| </h3></div></div></div> |
| <div class="toc"><dl> |
| <dt><span class="section"><a href="reference.html#ratio.reference.std.ratio_ratio_hpp">Header <code class="computeroutput"><span class="special"><</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">ratio</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">></span></code></a></span></dt> |
| <dt><span class="section"><a href="reference.html#ratio.reference.std.ratio_fwdhpp">Header <code class="computeroutput"><span class="special"><</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">ratio</span><span class="special">/</span><span class="identifier">ratio_fwd</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">></span></code></a></span></dt> |
| <dt><span class="section"><a href="reference.html#ratio.reference.std.ratio_hpp">Header <code class="computeroutput"><span class="special"><</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">ratio</span><span class="special">/</span><span class="identifier">ratio</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">></span></code></a></span></dt> |
| </dl></div> |
| <div class="section"> |
| <div class="titlepage"><div><div><h4 class="title"> |
| <a name="ratio.reference.std.ratio_ratio_hpp"></a><a class="link" href="reference.html#ratio.reference.std.ratio_ratio_hpp" title="Header <boost/ratio.hpp>">Header <code class="computeroutput"><span class="special"><</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">ratio</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">></span></code></a> |
| </h4></div></div></div> |
| <p> |
| This header includes all the ratio related header files |
| </p> |
| <pre class="programlisting"><span class="preprocessor">#include</span> <span class="special"><</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">ratio</span><span class="special">/</span><span class="identifier">ratio</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">ratio</span><span class="special">/</span><span class="identifier">ratio_io</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">ratio</span><span class="special">/</span><span class="identifier">rational_constant</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">></span> |
| </pre> |
| </div> |
| <div class="section"> |
| <div class="titlepage"><div><div><h4 class="title"> |
| <a name="ratio.reference.std.ratio_fwdhpp"></a><a class="link" href="reference.html#ratio.reference.std.ratio_fwdhpp" title="Header <boost/ratio/ratio_fwd.hpp>">Header <code class="computeroutput"><span class="special"><</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">ratio</span><span class="special">/</span><span class="identifier">ratio_fwd</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">></span></code></a> |
| </h4></div></div></div> |
| <p> |
| This header provides forward declarations for the <code class="computeroutput"><span class="special"><</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">ratio</span><span class="special">/</span><span class="identifier">ratio</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">></span></code> |
| file. |
| </p> |
| <pre class="programlisting"><span class="keyword">namespace</span> <span class="identifier">boost</span> <span class="special">{</span> |
| |
| <span class="keyword">template</span> <span class="special"><</span><span class="identifier">boost</span><span class="special">::</span><span class="identifier">intmax_t</span> <span class="identifier">N</span><span class="special">,</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">intmax_t</span> <span class="identifier">D</span> <span class="special">=</span> <span class="number">1</span><span class="special">></span> <span class="keyword">class</span> <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio" title="Class Template ratio<>"><code class="computeroutput"><span class="identifier">ratio</span></code></a><span class="special">;</span> |
| |
| <span class="comment">// ratio arithmetic</span> |
| <span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">R1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">R2</span><span class="special">></span> <span class="keyword">struct</span> <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio_arithmetic" title="ratio Arithmetic"><code class="computeroutput"><span class="identifier">ratio_add</span></code></a><span class="special">;</span> |
| <span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">R1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">R2</span><span class="special">></span> <span class="keyword">struct</span> <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio_arithmetic" title="ratio Arithmetic"><code class="computeroutput"><span class="identifier">ratio_subtract</span></code></a><span class="special">;</span> |
| <span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">R1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">R2</span><span class="special">></span> <span class="keyword">struct</span> <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio_arithmetic" title="ratio Arithmetic"><code class="computeroutput"><span class="identifier">ratio_multiply</span></code></a><span class="special">;</span> |
| <span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">R1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">R2</span><span class="special">></span> <span class="keyword">struct</span> <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio_arithmetic" title="ratio Arithmetic"><code class="computeroutput"><span class="identifier">ratio_divide</span></code></a><span class="special">;</span> |
| <span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">R</span><span class="special">></span> <span class="keyword">struct</span> <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio_arithmetic" title="ratio Arithmetic"><code class="computeroutput"><span class="identifier">ratio_negate</span></code></a><span class="special">;</span> |
| <span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">R</span><span class="special">></span> <span class="keyword">struct</span> <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio_arithmetic" title="ratio Arithmetic"><code class="computeroutput"><span class="identifier">ratio_sign</span></code></a><span class="special">;</span> |
| <span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">R</span><span class="special">></span> <span class="keyword">struct</span> <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio_arithmetic" title="ratio Arithmetic"><code class="computeroutput"><span class="identifier">ratio_abs</span></code></a><span class="special">;</span> |
| <span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">R1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">R2</span><span class="special">></span> <span class="keyword">struct</span> <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio_arithmetic" title="ratio Arithmetic"><code class="computeroutput"><span class="identifier">ratio_gcd</span></code></a><span class="special">;</span> |
| <span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">R1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">R2</span><span class="special">></span> <span class="keyword">struct</span> <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio_arithmetic" title="ratio Arithmetic"><code class="computeroutput"><span class="identifier">ratio_lcm</span></code></a><span class="special">;</span> |
| |
| <span class="comment">// ratio comparison</span> |
| <span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">R1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">R2</span><span class="special">></span> <span class="keyword">struct</span> <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio_comparison" title="ratio Comparison"><code class="computeroutput"><span class="identifier">ratio_equal</span></code></a><span class="special">;</span> |
| <span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">R1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">R2</span><span class="special">></span> <span class="keyword">struct</span> <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio_comparison" title="ratio Comparison"><code class="computeroutput"><span class="identifier">ratio_not_equal</span></code></a><span class="special">;</span> |
| <span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">R1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">R2</span><span class="special">></span> <span class="keyword">struct</span> <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio_comparison" title="ratio Comparison"><code class="computeroutput"><span class="identifier">ratio_less</span></code></a><span class="special">;</span> |
| <span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">R1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">R2</span><span class="special">></span> <span class="keyword">struct</span> <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio_comparison" title="ratio Comparison"><code class="computeroutput"><span class="identifier">ratio_less_equal</span></code></a><span class="special">;</span> |
| <span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">R1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">R2</span><span class="special">></span> <span class="keyword">struct</span> <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio_comparison" title="ratio Comparison"><code class="computeroutput"><span class="identifier">ratio_greater</span></code></a><span class="special">;</span> |
| <span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">R1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">R2</span><span class="special">></span> <span class="keyword">struct</span> <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio_comparison" title="ratio Comparison"><code class="computeroutput"><span class="identifier">ratio_greater_equal</span></code></a><span class="special">;</span> |
| |
| <span class="comment">// convenience SI typedefs</span> |
| <span class="keyword">typedef</span> <span class="identifier">ratio</span><span class="special"><</span><span class="number">1LL</span><span class="special">,</span> <span class="number">1000000000000000000LL</span><span class="special">></span> <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio_si_typedefs" title="SI typedefs"><code class="computeroutput"><span class="identifier">atto</span></code></a><span class="special">;</span> |
| <span class="keyword">typedef</span> <span class="identifier">ratio</span><span class="special"><</span><span class="number">1LL</span><span class="special">,</span> <span class="number">1000000000000000LL</span><span class="special">></span> <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio_si_typedefs" title="SI typedefs"><code class="computeroutput"><span class="identifier">femto</span></code></a><span class="special">;</span> |
| <span class="keyword">typedef</span> <span class="identifier">ratio</span><span class="special"><</span><span class="number">1LL</span><span class="special">,</span> <span class="number">1000000000000LL</span><span class="special">></span> <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio_si_typedefs" title="SI typedefs"><code class="computeroutput"><span class="identifier">pico</span></code></a><span class="special">;</span> |
| <span class="keyword">typedef</span> <span class="identifier">ratio</span><span class="special"><</span><span class="number">1LL</span><span class="special">,</span> <span class="number">1000000000LL</span><span class="special">></span> <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio_si_typedefs" title="SI typedefs"><code class="computeroutput"><span class="identifier">nano</span></code></a><span class="special">;</span> |
| <span class="keyword">typedef</span> <span class="identifier">ratio</span><span class="special"><</span><span class="number">1LL</span><span class="special">,</span> <span class="number">1000000LL</span><span class="special">></span> <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio_si_typedefs" title="SI typedefs"><code class="computeroutput"><span class="identifier">micro</span></code></a><span class="special">;</span> |
| <span class="keyword">typedef</span> <span class="identifier">ratio</span><span class="special"><</span><span class="number">1LL</span><span class="special">,</span> <span class="number">1000LL</span><span class="special">></span> <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio_si_typedefs" title="SI typedefs"><code class="computeroutput"><span class="identifier">milli</span></code></a><span class="special">;</span> |
| <span class="keyword">typedef</span> <span class="identifier">ratio</span><span class="special"><</span><span class="number">1LL</span><span class="special">,</span> <span class="number">100LL</span><span class="special">></span> <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio_si_typedefs" title="SI typedefs"><code class="computeroutput"><span class="identifier">centi</span></code></a><span class="special">;</span> |
| <span class="keyword">typedef</span> <span class="identifier">ratio</span><span class="special"><</span><span class="number">1LL</span><span class="special">,</span> <span class="number">10LL</span><span class="special">></span> <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio_si_typedefs" title="SI typedefs"><code class="computeroutput"><span class="identifier">deci</span></code></a><span class="special">;</span> |
| <span class="keyword">typedef</span> <span class="identifier">ratio</span><span class="special"><</span> <span class="number">10LL</span><span class="special">,</span> <span class="number">1LL</span><span class="special">></span> <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio_si_typedefs" title="SI typedefs"><code class="computeroutput"><span class="identifier">deca</span></code></a><span class="special">;</span> |
| <span class="keyword">typedef</span> <span class="identifier">ratio</span><span class="special"><</span> <span class="number">100LL</span><span class="special">,</span> <span class="number">1LL</span><span class="special">></span> <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio_si_typedefs" title="SI typedefs"><code class="computeroutput"><span class="identifier">hecto</span></code></a><span class="special">;</span> |
| <span class="keyword">typedef</span> <span class="identifier">ratio</span><span class="special"><</span> <span class="number">1000LL</span><span class="special">,</span> <span class="number">1LL</span><span class="special">></span> <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio_si_typedefs" title="SI typedefs"><code class="computeroutput"><span class="identifier">kilo</span></code></a><span class="special">;</span> |
| <span class="keyword">typedef</span> <span class="identifier">ratio</span><span class="special"><</span> <span class="number">1000000LL</span><span class="special">,</span> <span class="number">1LL</span><span class="special">></span> <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio_si_typedefs" title="SI typedefs"><code class="computeroutput"><span class="identifier">mega</span></code></a><span class="special">;</span> |
| <span class="keyword">typedef</span> <span class="identifier">ratio</span><span class="special"><</span> <span class="number">1000000000LL</span><span class="special">,</span> <span class="number">1LL</span><span class="special">></span> <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio_si_typedefs" title="SI typedefs"><code class="computeroutput"><span class="identifier">giga</span></code></a><span class="special">;</span> |
| <span class="keyword">typedef</span> <span class="identifier">ratio</span><span class="special"><</span> <span class="number">1000000000000LL</span><span class="special">,</span> <span class="number">1LL</span><span class="special">></span> <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio_si_typedefs" title="SI typedefs"><code class="computeroutput"><span class="identifier">tera</span></code></a><span class="special">;</span> |
| <span class="keyword">typedef</span> <span class="identifier">ratio</span><span class="special"><</span> <span class="number">1000000000000000LL</span><span class="special">,</span> <span class="number">1LL</span><span class="special">></span> <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio_si_typedefs" title="SI typedefs"><code class="computeroutput"><span class="identifier">peta</span></code></a><span class="special">;</span> |
| <span class="keyword">typedef</span> <span class="identifier">ratio</span><span class="special"><</span><span class="number">1000000000000000000LL</span><span class="special">,</span> <span class="number">1LL</span><span class="special">></span> <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio_si_typedefs" title="SI typedefs"><code class="computeroutput"><span class="identifier">exa</span></code></a><span class="special">;</span> |
| <span class="special">}</span> |
| </pre> |
| </div> |
| <div class="section"> |
| <div class="titlepage"><div><div><h4 class="title"> |
| <a name="ratio.reference.std.ratio_hpp"></a><a class="link" href="reference.html#ratio.reference.std.ratio_hpp" title="Header <boost/ratio/ratio.hpp>">Header <code class="computeroutput"><span class="special"><</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">ratio</span><span class="special">/</span><span class="identifier">ratio</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">></span></code></a> |
| </h4></div></div></div> |
| <div class="toc"><dl> |
| <dt><span class="section"><a href="reference.html#ratio.reference.std.ratio_hpp.conf">Configuration |
| Macros</a></span></dt> |
| <dt><span class="section"><a href="reference.html#ratio.reference.std.ratio_hpp.ratio">Class Template |
| <code class="computeroutput"><span class="identifier">ratio</span><span class="special"><></span></code></a></span></dt> |
| <dt><span class="section"><a href="reference.html#ratio.reference.std.ratio_hpp.ratio_arithmetic"><code class="computeroutput"><span class="identifier">ratio</span></code> Arithmetic</a></span></dt> |
| <dt><span class="section"><a href="reference.html#ratio.reference.std.ratio_hpp.ratio_comparison"><code class="computeroutput"><span class="identifier">ratio</span></code> Comparison</a></span></dt> |
| <dt><span class="section"><a href="reference.html#ratio.reference.std.ratio_hpp.ratio_si_typedefs">SI |
| typedefs</a></span></dt> |
| <dt><span class="section"><a href="reference.html#ratio.reference.std.ratio_hpp.limitations">Limitations</a></span></dt> |
| <dt><span class="section"><a href="reference.html#ratio.reference.std.ratio_hpp.extensions">Extensions</a></span></dt> |
| </dl></div> |
| <p> |
| <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio" title="Class Template ratio<>"><code class="computeroutput"><span class="identifier">ratio</span></code></a> |
| is a facility which is useful in specifying compile-time rational constants. |
| Compile-time rational arithmetic is supported with protection against overflow |
| and divide by zero. Such a facility is very handy to efficiently represent |
| 1/3 of a nanosecond, or to specify an inch in terms of meters (for example |
| 254/10000 meters - which <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio" title="Class Template ratio<>"><code class="computeroutput"><span class="identifier">ratio</span></code></a> will reduce to 127/5000 |
| meters). |
| </p> |
| <pre class="programlisting"><span class="comment">// Configuration macros</span> |
| <span class="preprocessor">#define</span> <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.conf" title="Configuration Macros"><code class="computeroutput"><span class="identifier">BOOST_RATIO_USES_STATIC_ASSERT</span></code></a> |
| <span class="preprocessor">#define</span> <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.conf" title="Configuration Macros"><code class="computeroutput"><span class="identifier">BOOST_RATIO_USES_MPL_ASSERT</span></code></a> |
| <span class="preprocessor">#define</span> <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.conf" title="Configuration Macros"><code class="computeroutput"><span class="identifier">BOOST_RATIO_USES_ARRAY_ASSERT</span></code></a> |
| <span class="preprocessor">#define</span> <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.extensions" title="Extensions"><code class="computeroutput"><span class="identifier">BOOST_RATIO_EXTENSIONS</span></code></a> |
| </pre> |
| <div class="section"> |
| <div class="titlepage"><div><div><h5 class="title"> |
| <a name="ratio.reference.std.ratio_hpp.conf"></a><a class="link" href="reference.html#ratio.reference.std.ratio_hpp.conf" title="Configuration Macros">Configuration |
| Macros</a> |
| </h5></div></div></div> |
| <p> |
| When BOOST_NO_STATIC_ASSERT is defined, the user can select the way static |
| assertions are reported. Define |
| </p> |
| <div class="itemizedlist"><ul class="itemizedlist" type="disc"> |
| <li class="listitem"> |
| BOOST_RATIO_USES_STATIC_ASSERT to use Boost.StaticAssert. |
| </li> |
| <li class="listitem"> |
| BOOST_RATIO_USES_MPL_ASSERT to use <span class="bold"><strong>Boost.MPL</strong></span> |
| static assertions. |
| </li> |
| <li class="listitem"> |
| BOOST_RATIO_USES_RATIO_ASSERT to use <span class="bold"><strong>Boost.Ratio</strong></span> |
| static assertions. |
| </li> |
| </ul></div> |
| <p> |
| The default behavior is as if BOOST_RATIO_USES_ARRAY_ASSERT is defined. |
| </p> |
| <p> |
| When BOOST_RATIO_USES_MPL_ASSERT is not defined the following symbols |
| are defined as shown: |
| </p> |
| <pre class="programlisting"><span class="preprocessor">#define</span> <span class="identifier">BOOST_RATIO_OVERFLOW_IN_ADD</span> <span class="string">"overflow in ratio add"</span> |
| <span class="preprocessor">#define</span> <span class="identifier">BOOST_RATIO_OVERFLOW_IN_SUB</span> <span class="string">"overflow in ratio sub"</span> |
| <span class="preprocessor">#define</span> <span class="identifier">BOOST_RATIO_OVERFLOW_IN_MUL</span> <span class="string">"overflow in ratio mul"</span> |
| <span class="preprocessor">#define</span> <span class="identifier">BOOST_RATIO_OVERFLOW_IN_DIV</span> <span class="string">"overflow in ratio div"</span> |
| <span class="preprocessor">#define</span> <span class="identifier">BOOST_RATIO_NUMERATOR_IS_OUT_OF_RANGE</span> <span class="string">"ratio numerator is out of range"</span> |
| <span class="preprocessor">#define</span> <span class="identifier">BOOST_RATIO_DIVIDE_BY_0</span> <span class="string">"ratio divide by 0"</span> |
| <span class="preprocessor">#define</span> <span class="identifier">BOOST_RATIO_DENOMINATOR_IS_OUT_OF_RANGE</span> <span class="string">"ratio denominator is out of range"</span> |
| </pre> |
| <p> |
| Depending upon the static assertion system used, a hint as to the failing |
| assertion will appear in some form in the compiler diagnostic output. |
| </p> |
| <p> |
| When BOOST_RATIO_EXTENSIONS is defined, <span class="bold"><strong>Boost.Ratio</strong></span> |
| provides in addition some extenion to the C++ standard, see below. |
| </p> |
| </div> |
| <div class="section"> |
| <div class="titlepage"><div><div><h5 class="title"> |
| <a name="ratio.reference.std.ratio_hpp.ratio"></a><a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio" title="Class Template ratio<>">Class Template |
| <code class="computeroutput"><span class="identifier">ratio</span><span class="special"><></span></code></a> |
| </h5></div></div></div> |
| <pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="identifier">boost</span><span class="special">::</span><span class="identifier">intmax_t</span> <span class="identifier">N</span><span class="special">,</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">intmax_t</span> <span class="identifier">D</span><span class="special">></span> |
| <span class="keyword">class</span> <span class="identifier">ratio</span> <span class="special">{</span> |
| <span class="keyword">public</span><span class="special">:</span> |
| <span class="keyword">static</span> <span class="keyword">const</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">intmax_t</span> <span class="identifier">num</span><span class="special">;</span> |
| <span class="keyword">static</span> <span class="keyword">const</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">intmax_t</span> <span class="identifier">den</span><span class="special">;</span> |
| <span class="keyword">typedef</span> <span class="identifier">ratio</span><span class="special"><</span><span class="identifier">num</span><span class="special">,</span> <span class="identifier">den</span><span class="special">></span> <span class="identifier">type</span><span class="special">;</span> |
| |
| <span class="preprocessor">#ifdef</span> <span class="identifier">BOOST_RATIO_EXTENSIONS</span> |
| <span class="keyword">typedef</span> <span class="identifier">mpl</span><span class="special">::</span><span class="identifier">rational_c_tag</span> <span class="identifier">tag</span><span class="special">;</span> |
| <span class="keyword">typedef</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">rational</span><span class="special"><</span><span class="identifier">boost</span><span class="special">::</span><span class="identifier">intmax_t</span><span class="special">></span> <span class="identifier">value_type</span><span class="special">;</span> |
| <span class="keyword">typedef</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">intmax_t</span> <span class="identifier">num_type</span><span class="special">;</span> |
| <span class="keyword">typedef</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">intmax_t</span> <span class="identifier">den_type</span><span class="special">;</span> |
| |
| <span class="identifier">ratio</span><span class="special">()</span> <span class="special">=</span> <span class="keyword">default</span><span class="special">;</span> |
| |
| <span class="keyword">template</span> <span class="special"><</span><span class="identifier">intmax_t</span> <span class="identifier">_N2</span><span class="special">,</span> <span class="identifier">intmax_t</span> <span class="identifier">_D2</span><span class="special">></span> |
| <span class="identifier">ratio</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">ratio</span><span class="special"><</span><span class="identifier">_N2</span><span class="special">,</span> <span class="identifier">_D2</span><span class="special">>&);</span> |
| |
| <span class="keyword">template</span> <span class="special"><</span><span class="identifier">intmax_t</span> <span class="identifier">_N2</span><span class="special">,</span> <span class="identifier">intmax_t</span> <span class="identifier">_D2</span><span class="special">></span> |
| <span class="identifier">ratio</span><span class="special">&</span> <span class="keyword">operator</span><span class="special">=(</span><span class="keyword">const</span> <span class="identifier">ratio</span><span class="special"><</span><span class="identifier">_N2</span><span class="special">,</span> <span class="identifier">_D2</span><span class="special">>&);</span> |
| |
| <span class="keyword">static</span> <span class="identifier">value_type</span> <span class="identifier">value</span><span class="special">();</span> |
| <span class="identifier">value_type</span> <span class="keyword">operator</span><span class="special">()()</span> <span class="keyword">const</span><span class="special">;</span> |
| <span class="preprocessor">#endif</span> |
| <span class="special">};</span> |
| </pre> |
| <p> |
| A diagnostic will be emitted if <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio" title="Class Template ratio<>"><code class="computeroutput"><span class="identifier">ratio</span></code></a> is instantiated with |
| <code class="computeroutput"><span class="identifier">D</span> <span class="special">==</span> |
| <span class="number">0</span></code>, or if the absolute value of |
| <code class="computeroutput"><span class="identifier">N</span></code> or <code class="computeroutput"><span class="identifier">D</span></code> |
| cannot be represented. <span class="bold"><strong>Note:</strong></span> These rules |
| ensure that infinite ratios are avoided and that for any negative input, |
| there exists a representable value of its absolute value which is positive. |
| In a two's complement representation, this excludes the most negative |
| value. |
| </p> |
| <p> |
| The members num and den will be normalized values of the template arguments |
| N and D computed as follows. Let <code class="computeroutput"><span class="identifier">gcd</span></code> |
| denote the greatest common divisor of <code class="computeroutput"><span class="identifier">N</span></code>'s |
| absolute value and of <code class="computeroutput"><span class="identifier">D</span></code>'s |
| absolute value. Then: |
| </p> |
| <div class="itemizedlist"><ul class="itemizedlist" type="disc"> |
| <li class="listitem"> |
| <code class="computeroutput"><span class="identifier">num</span></code> has the value |
| <code class="computeroutput"><span class="identifier">sign</span><span class="special">(</span><span class="identifier">N</span><span class="special">)*</span><span class="identifier">sign</span><span class="special">(</span><span class="identifier">D</span><span class="special">)*</span><span class="identifier">abs</span><span class="special">(</span><span class="identifier">N</span><span class="special">)/</span><span class="identifier">gcd</span></code>. |
| </li> |
| <li class="listitem"> |
| <code class="computeroutput"><span class="identifier">den</span></code> has the value |
| <code class="computeroutput"><span class="identifier">abs</span><span class="special">(</span><span class="identifier">D</span><span class="special">)/</span><span class="identifier">gcd</span></code>. |
| </li> |
| </ul></div> |
| <p> |
| The nested typedef <code class="computeroutput"><span class="identifier">type</span></code> |
| denotes the normalized form of this <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio" title="Class Template ratio<>"><code class="computeroutput"><span class="identifier">ratio</span></code></a> type. It should be used |
| when the normalized form of the template arguments are required, since |
| the arguments are not necessarily normalized. |
| </p> |
| <p> |
| Two <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio" title="Class Template ratio<>"><code class="computeroutput"><span class="identifier">ratio</span></code></a> classes <code class="computeroutput"><a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio" title="Class Template ratio<>"><code class="computeroutput"><span class="identifier">ratio</span></code></a><span class="special"><</span><span class="identifier">N1</span><span class="special">,</span><span class="identifier">D1</span><span class="special">></span></code> |
| and <code class="computeroutput"><a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio" title="Class Template ratio<>"><code class="computeroutput"><span class="identifier">ratio</span></code></a><span class="special"><</span><span class="identifier">N2</span><span class="special">,</span><span class="identifier">D2</span><span class="special">></span></code> |
| have the same normalized form if <code class="computeroutput"><a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio" title="Class Template ratio<>"><code class="computeroutput"><span class="identifier">ratio</span></code></a><span class="special"><</span><span class="identifier">N1</span><span class="special">,</span><span class="identifier">D1</span><span class="special">>::</span><span class="identifier">type</span></code> is the same type as <code class="computeroutput"><a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio" title="Class Template ratio<>"><code class="computeroutput"><span class="identifier">ratio</span></code></a><span class="special"><</span><span class="identifier">N2</span><span class="special">,</span><span class="identifier">D2</span><span class="special">>::</span><span class="identifier">type</span></code> |
| </p> |
| <div class="section"> |
| <div class="titlepage"><div><div><h6 class="title"> |
| <a name="ratio.reference.std.ratio_hpp.ratio.ca"></a><a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio.ca" title="Construction and Assignment">Construction |
| and Assignment</a> |
| </h6></div></div></div> |
| <p> |
| Included only if BOOST_RATIO_EXTENSIONS is defined. |
| </p> |
| <a name="ratio.reference.std.ratio_hpp.ratio.ca.default_constructor"></a><h7><a name="ratio.reference.std.ratio_hpp.ratio.ca.default_constructor-heading"></a> |
| <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio.ca.default_constructor">Default |
| Constructor</a> |
| </h7><pre class="programlisting"><span class="identifier">ratio</span><span class="special">()=</span><span class="keyword">default</span><span class="special">;</span> |
| </pre> |
| <p> |
| <span class="bold"><strong>Effects:</strong></span> Constructs a <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio" title="Class Template ratio<>"><code class="computeroutput"><span class="identifier">ratio</span></code></a> object. |
| </p> |
| <a name="ratio.reference.std.ratio_hpp.ratio.ca.copy_constructor"></a><h7><a name="ratio.reference.std.ratio_hpp.ratio.ca.copy_constructor-heading"></a> |
| <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio.ca.copy_constructor">Copy |
| Constructor</a> |
| </h7><pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="identifier">intmax_t</span> <span class="identifier">N2</span><span class="special">,</span> <span class="identifier">intmax_t</span> <span class="identifier">D2</span><span class="special">></span> |
| <span class="identifier">ratio</span><span class="special">(</span><span class="keyword">const</span> <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio" title="Class Template ratio<>"><code class="computeroutput"><span class="identifier">ratio</span></code></a><span class="special"><</span><span class="identifier">N2</span><span class="special">,</span> <span class="identifier">D2</span><span class="special">>&</span> <span class="identifier">r</span><span class="special">);</span> |
| </pre> |
| <p> |
| <span class="bold"><strong>Effects:</strong></span> Constructs a <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio" title="Class Template ratio<>"><code class="computeroutput"><span class="identifier">ratio</span></code></a> object. |
| </p> |
| <p> |
| <span class="bold"><strong>Remarks:</strong></span> This constructor will not |
| participate in overload resolution unless <code class="computeroutput"><span class="identifier">r</span></code> |
| has the same normalized form as <code class="computeroutput"><span class="special">*</span><span class="keyword">this</span></code>. |
| </p> |
| <a name="ratio.reference.std.ratio_hpp.ratio.ca.assignement"></a><h7><a name="ratio.reference.std.ratio_hpp.ratio.ca.assignement-heading"></a> |
| <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio.ca.assignement">Assignement</a> |
| </h7><pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="identifier">intmax_t</span> <span class="identifier">N2</span><span class="special">,</span> <span class="identifier">intmax_t</span> <span class="identifier">D2</span><span class="special">></span> |
| <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio" title="Class Template ratio<>"><code class="computeroutput"><span class="identifier">ratio</span></code></a><span class="special">&</span> <span class="keyword">operator</span><span class="special">=(</span><span class="keyword">const</span> <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio" title="Class Template ratio<>"><code class="computeroutput"><span class="identifier">ratio</span></code></a><span class="special"><</span><span class="identifier">N2</span><span class="special">,</span> <span class="identifier">D2</span><span class="special">>&</span> <span class="identifier">r</span><span class="special">);</span> |
| </pre> |
| <p> |
| <span class="bold"><strong>Effects:</strong></span> Assigns a <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio" title="Class Template ratio<>"><code class="computeroutput"><span class="identifier">ratio</span></code></a> object. |
| </p> |
| <p> |
| <span class="bold"><strong>Returns:</strong></span> *this. |
| </p> |
| <p> |
| <span class="bold"><strong>Remarks:</strong></span> This operator will not participate |
| in overload resolution unless <code class="computeroutput"><span class="identifier">r</span></code> |
| has the same normalized form as <code class="computeroutput"><span class="special">*</span><span class="keyword">this</span></code>. |
| </p> |
| </div> |
| <div class="section"> |
| <div class="titlepage"><div><div><h6 class="title"> |
| <a name="ratio.reference.std.ratio_hpp.ratio.mpl"></a><a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio.mpl" title="MPL Numeric Metafunctions">MPL Numeric |
| Metafunctions</a> |
| </h6></div></div></div> |
| <p> |
| Included only if BOOST_RATIO_EXTENSIONS is defined. |
| </p> |
| <p> |
| In order to work with <span class="bold"><strong>Boost.MPL</strong></span> numeric |
| metafunctions as a <a class="link" href="reference.html#ratio.reference.mpl.rational_constant" title="Rational Constant Concept">Rational |
| Constant</a>, the following has beed added: |
| </p> |
| <pre class="programlisting"><span class="keyword">typedef</span> <span class="identifier">mpl</span><span class="special">::</span><span class="identifier">rational_c_tag</span> <span class="identifier">tag</span><span class="special">;</span> |
| <span class="keyword">typedef</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">rational</span><span class="special"><</span><span class="identifier">boost</span><span class="special">::</span><span class="identifier">intmax_t</span><span class="special">></span> <span class="identifier">value_type</span><span class="special">;</span> |
| <span class="keyword">typedef</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">intmax_t</span> <span class="identifier">num_type</span><span class="special">;</span> |
| <span class="keyword">typedef</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">intmax_t</span> <span class="identifier">den_type</span><span class="special">;</span> |
| </pre> |
| </div> |
| <div class="section"> |
| <div class="titlepage"><div><div><h6 class="title"> |
| <a name="ratio.reference.std.ratio_hpp.ratio.obs"></a><a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio.obs" title="Observers">Observers</a> |
| </h6></div></div></div> |
| <p> |
| Included only if BOOST_RATIO_EXTENSIONS is defined. |
| </p> |
| <pre class="programlisting"><span class="keyword">static</span> <span class="identifier">value_type</span> <span class="identifier">value</span><span class="special">();</span> |
| <span class="identifier">value_type</span> <span class="keyword">operator</span><span class="special">()()</span> <span class="keyword">const</span><span class="special">;</span> |
| </pre> |
| <p> |
| <span class="bold"><strong>Returns:</strong></span> value_type(num,den); |
| </p> |
| </div> |
| </div> |
| <div class="section"> |
| <div class="titlepage"><div><div><h5 class="title"> |
| <a name="ratio.reference.std.ratio_hpp.ratio_arithmetic"></a><a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio_arithmetic" title="ratio Arithmetic"><code class="computeroutput"><span class="identifier">ratio</span></code> Arithmetic</a> |
| </h5></div></div></div> |
| <p> |
| For each of the class templates in this section, each template parameter |
| refers to a <code class="computeroutput"><span class="identifier">ratio</span></code>. If |
| the implementation is unable to form the indicated <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio" title="Class Template ratio<>"><code class="computeroutput"><span class="identifier">ratio</span></code></a> due to overflow, a diagnostic |
| will be issued. |
| </p> |
| <a name="ratio.reference.std.ratio_hpp.ratio_arithmetic._code__phrase_role__identifier__ratio_add__phrase__phrase_role__special___lt__gt___phrase___code_"></a><h6> |
| <a name="ratio.reference.std.ratio_hpp.ratio_arithmetic._code__phrase_role__identifier__ratio_add__phrase__phrase_role__special___lt__gt___phrase___code_-heading"></a> |
| <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio_arithmetic._code__phrase_role__identifier__ratio_add__phrase__phrase_role__special___lt__gt___phrase___code_"><code class="computeroutput"><span class="identifier">ratio_add</span><span class="special"><></span></code></a> |
| </h6> |
| <pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">R1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">R2</span><span class="special">></span> <span class="keyword">struct</span> <span class="identifier">ratio_add</span> <span class="special">{</span> |
| <span class="keyword">typedef</span> <span class="special">[/</span><span class="identifier">see</span> <span class="identifier">below</span><span class="special">]</span> <span class="identifier">type</span><span class="special">;</span> |
| <span class="special">};</span> |
| </pre> |
| <p> |
| The nested typedef <code class="computeroutput"><span class="identifier">type</span></code> |
| is a synonym for <code class="computeroutput"><a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio" title="Class Template ratio<>"><code class="computeroutput"><span class="identifier">ratio</span></code></a><span class="special"><</span><span class="identifier">R1</span><span class="special">::</span><span class="identifier">num</span> <span class="special">*</span> <span class="identifier">R2</span><span class="special">::</span><span class="identifier">den</span> <span class="special">+</span> <span class="identifier">R2</span><span class="special">::</span><span class="identifier">num</span> <span class="special">*</span> <span class="identifier">R1</span><span class="special">::</span><span class="identifier">den</span><span class="special">,</span> <span class="identifier">R1</span><span class="special">::</span><span class="identifier">den</span> <span class="special">*</span> <span class="identifier">R2</span><span class="special">::</span><span class="identifier">den</span><span class="special">>::</span><span class="identifier">type</span></code>. |
| </p> |
| <a name="ratio.reference.std.ratio_hpp.ratio_arithmetic._code__phrase_role__identifier__ratio_subtract__phrase__phrase_role__special___lt__gt___phrase___code_"></a><h6> |
| <a name="ratio.reference.std.ratio_hpp.ratio_arithmetic._code__phrase_role__identifier__ratio_subtract__phrase__phrase_role__special___lt__gt___phrase___code_-heading"></a> |
| <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio_arithmetic._code__phrase_role__identifier__ratio_subtract__phrase__phrase_role__special___lt__gt___phrase___code_"><code class="computeroutput"><span class="identifier">ratio_subtract</span><span class="special"><></span></code></a> |
| </h6> |
| <pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">R1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">R2</span><span class="special">></span> <span class="keyword">struct</span> <span class="identifier">ratio_subtract</span> <span class="special">{</span> |
| <span class="keyword">typedef</span> <span class="special">[/</span><span class="identifier">see</span> <span class="identifier">below</span><span class="special">]</span> <span class="identifier">type</span><span class="special">;</span> |
| <span class="special">};</span> |
| </pre> |
| <p> |
| The nested typedef <code class="computeroutput"><span class="identifier">type</span></code> |
| is a synonym for <code class="computeroutput"><a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio" title="Class Template ratio<>"><code class="computeroutput"><span class="identifier">ratio</span></code></a><span class="special"><</span><span class="identifier">R1</span><span class="special">::</span><span class="identifier">num</span> <span class="special">*</span> <span class="identifier">R2</span><span class="special">::</span><span class="identifier">den</span> <span class="special">-</span> <span class="identifier">R2</span><span class="special">::</span><span class="identifier">num</span> <span class="special">*</span> <span class="identifier">R1</span><span class="special">::</span><span class="identifier">den</span><span class="special">,</span> <span class="identifier">R1</span><span class="special">::</span><span class="identifier">den</span> <span class="special">*</span> <span class="identifier">R2</span><span class="special">::</span><span class="identifier">den</span><span class="special">>::</span><span class="identifier">type</span></code>. |
| </p> |
| <a name="ratio.reference.std.ratio_hpp.ratio_arithmetic._code__phrase_role__identifier__ratio_multiply__phrase__phrase_role__special___lt__gt___phrase___code_"></a><h6> |
| <a name="ratio.reference.std.ratio_hpp.ratio_arithmetic._code__phrase_role__identifier__ratio_multiply__phrase__phrase_role__special___lt__gt___phrase___code_-heading"></a> |
| <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio_arithmetic._code__phrase_role__identifier__ratio_multiply__phrase__phrase_role__special___lt__gt___phrase___code_"><code class="computeroutput"><span class="identifier">ratio_multiply</span><span class="special"><></span></code></a> |
| </h6> |
| <pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">R1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">R2</span><span class="special">></span> <span class="keyword">struct</span> <span class="identifier">ratio_multiply</span> <span class="special">{</span> |
| <span class="keyword">typedef</span> <span class="special">[/</span><span class="identifier">see</span> <span class="identifier">below</span><span class="special">]</span> <span class="identifier">type</span><span class="special">;</span> |
| <span class="special">};</span> |
| </pre> |
| <p> |
| The nested typedef <code class="computeroutput"><span class="identifier">type</span></code> |
| is a synonym for <code class="computeroutput"><a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio" title="Class Template ratio<>"><code class="computeroutput"><span class="identifier">ratio</span></code></a><span class="special"><</span><span class="identifier">R1</span><span class="special">::</span><span class="identifier">num</span> <span class="special">*</span> <span class="identifier">R2</span><span class="special">::</span><span class="identifier">num</span><span class="special">,</span> <span class="identifier">R1</span><span class="special">::</span><span class="identifier">den</span> <span class="special">*</span> <span class="identifier">R2</span><span class="special">::</span><span class="identifier">den</span><span class="special">>::</span><span class="identifier">type</span></code>. |
| </p> |
| <a name="ratio.reference.std.ratio_hpp.ratio_arithmetic._code__phrase_role__identifier__ratio_divide__phrase__phrase_role__special___lt__gt___phrase___code_"></a><h6> |
| <a name="ratio.reference.std.ratio_hpp.ratio_arithmetic._code__phrase_role__identifier__ratio_divide__phrase__phrase_role__special___lt__gt___phrase___code_-heading"></a> |
| <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio_arithmetic._code__phrase_role__identifier__ratio_divide__phrase__phrase_role__special___lt__gt___phrase___code_"><code class="computeroutput"><span class="identifier">ratio_divide</span><span class="special"><></span></code></a> |
| </h6> |
| <pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">R1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">R2</span><span class="special">></span> <span class="keyword">struct</span> <span class="identifier">ratio_divide</span> <span class="special">{</span> |
| <span class="keyword">typedef</span> <span class="special">[/</span><span class="identifier">see</span> <span class="identifier">below</span><span class="special">]</span> <span class="identifier">type</span><span class="special">;</span> |
| <span class="special">};</span> |
| </pre> |
| <p> |
| The nested typedef <code class="computeroutput"><span class="identifier">type</span></code> |
| is a synonym for <code class="computeroutput"><a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio" title="Class Template ratio<>"><code class="computeroutput"><span class="identifier">ratio</span></code></a><span class="special"><</span><span class="identifier">R1</span><span class="special">::</span><span class="identifier">num</span> <span class="special">*</span> <span class="identifier">R2</span><span class="special">::</span><span class="identifier">den</span><span class="special">,</span> <span class="identifier">R2</span><span class="special">::</span><span class="identifier">num</span> <span class="special">*</span> <span class="identifier">R1</span><span class="special">::</span><span class="identifier">den</span><span class="special">>::</span><span class="identifier">type</span></code>. |
| </p> |
| <a name="ratio.reference.std.ratio_hpp.ratio_arithmetic._code__phrase_role__identifier__ratio_negate__phrase__phrase_role__special___lt__gt___phrase___code_"></a><h6> |
| <a name="ratio.reference.std.ratio_hpp.ratio_arithmetic._code__phrase_role__identifier__ratio_negate__phrase__phrase_role__special___lt__gt___phrase___code_-heading"></a> |
| <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio_arithmetic._code__phrase_role__identifier__ratio_negate__phrase__phrase_role__special___lt__gt___phrase___code_"><code class="computeroutput"><span class="identifier">ratio_negate</span><span class="special"><></span></code></a> |
| </h6> |
| <p> |
| This extension of the C++ standard helps in the definition of some <span class="bold"><strong>Boost.MPL</strong></span> numeric metafunctions. |
| </p> |
| <pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">R</span><span class="special">></span> <span class="keyword">struct</span> <span class="identifier">ratio_negate</span> <span class="special">{</span> |
| <span class="keyword">typedef</span> <span class="special">[/</span><span class="identifier">see</span> <span class="identifier">below</span><span class="special">]</span> <span class="identifier">type</span><span class="special">;</span> |
| <span class="special">};</span> |
| </pre> |
| <p> |
| The nested typedef <code class="computeroutput"><span class="identifier">type</span></code> |
| is a synonym for <code class="computeroutput"><a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio" title="Class Template ratio<>"><code class="computeroutput"><span class="identifier">ratio</span></code></a><span class="special"><-</span><span class="identifier">R</span><span class="special">::</span><span class="identifier">num</span><span class="special">,</span> <span class="identifier">R</span><span class="special">::</span><span class="identifier">den</span><span class="special">>::</span><span class="identifier">type</span></code>. |
| </p> |
| <a name="ratio.reference.std.ratio_hpp.ratio_arithmetic._code__phrase_role__identifier__ratio_abs__phrase__phrase_role__special___lt__gt___phrase___code_"></a><h6> |
| <a name="ratio.reference.std.ratio_hpp.ratio_arithmetic._code__phrase_role__identifier__ratio_abs__phrase__phrase_role__special___lt__gt___phrase___code_-heading"></a> |
| <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio_arithmetic._code__phrase_role__identifier__ratio_abs__phrase__phrase_role__special___lt__gt___phrase___code_"><code class="computeroutput"><span class="identifier">ratio_abs</span><span class="special"><></span></code></a> |
| </h6> |
| <p> |
| This extension of the C++ standard helps in the definition of some <span class="bold"><strong>Boost.MPL</strong></span> numeric metafunctions. |
| </p> |
| <pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">R</span><span class="special">></span> <span class="keyword">struct</span> <span class="identifier">ratio_abs</span> <span class="special">{</span> |
| <span class="keyword">typedef</span> <span class="special">[/</span><span class="identifier">see</span> <span class="identifier">below</span><span class="special">]</span> <span class="identifier">type</span><span class="special">;</span> |
| <span class="special">};</span> |
| </pre> |
| <p> |
| The nested typedef <code class="computeroutput"><span class="identifier">type</span></code> |
| is a synonym for <code class="computeroutput"><a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio" title="Class Template ratio<>"><code class="computeroutput"><span class="identifier">ratio</span></code></a><span class="special"><</span><span class="identifier">abs_c</span><span class="special"><</span><span class="identifier">intmax_t</span><span class="special">,</span><span class="identifier">R</span><span class="special">::</span><span class="identifier">num</span><span class="special">>::</span><span class="identifier">value</span><span class="special">,</span> <span class="identifier">R</span><span class="special">::</span><span class="identifier">den</span><span class="special">>::</span><span class="identifier">type</span></code>. |
| </p> |
| <a name="ratio.reference.std.ratio_hpp.ratio_arithmetic._code__phrase_role__identifier__ratio_sign__phrase__phrase_role__special___lt__gt___phrase___code_"></a><h6> |
| <a name="ratio.reference.std.ratio_hpp.ratio_arithmetic._code__phrase_role__identifier__ratio_sign__phrase__phrase_role__special___lt__gt___phrase___code_-heading"></a> |
| <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio_arithmetic._code__phrase_role__identifier__ratio_sign__phrase__phrase_role__special___lt__gt___phrase___code_"><code class="computeroutput"><span class="identifier">ratio_sign</span><span class="special"><></span></code></a> |
| </h6> |
| <p> |
| This extension of the C++ standard helps in the definition of some <span class="bold"><strong>Boost.MPL</strong></span> numeric metafunctions. |
| </p> |
| <pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">R</span><span class="special">></span> <span class="keyword">struct</span> <span class="identifier">ratio_sign</span> <span class="special">{</span> |
| <span class="keyword">typedef</span> <span class="special">[/</span><span class="identifier">see</span> <span class="identifier">below</span><span class="special">]</span> <span class="identifier">type</span><span class="special">;</span> |
| <span class="special">};</span> |
| </pre> |
| <p> |
| The nested typedef <code class="computeroutput"><span class="identifier">type</span></code> |
| is a synonym for <code class="computeroutput"><span class="identifier">sign_c</span><span class="special"><</span><span class="identifier">intmax_t</span><span class="special">,</span><span class="identifier">R</span><span class="special">::</span><span class="identifier">num</span><span class="special">>::</span><span class="identifier">type</span></code>. |
| </p> |
| <a name="ratio.reference.std.ratio_hpp.ratio_arithmetic._code__phrase_role__identifier__ratio_gcd__phrase__phrase_role__special___lt__gt___phrase___code_"></a><h6> |
| <a name="ratio.reference.std.ratio_hpp.ratio_arithmetic._code__phrase_role__identifier__ratio_gcd__phrase__phrase_role__special___lt__gt___phrase___code_-heading"></a> |
| <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio_arithmetic._code__phrase_role__identifier__ratio_gcd__phrase__phrase_role__special___lt__gt___phrase___code_"><code class="computeroutput"><span class="identifier">ratio_gcd</span><span class="special"><></span></code></a> |
| </h6> |
| <p> |
| This extension of the C++ standard helps in the definition of some <span class="bold"><strong>Boost.MPL</strong></span> numeric metafunctions. |
| </p> |
| <pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">R1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">R2</span><span class="special">></span> <span class="keyword">struct</span> <span class="identifier">ratio_gcd</span> <span class="special">{</span> |
| <span class="keyword">typedef</span> <span class="special">[/</span><span class="identifier">see</span> <span class="identifier">below</span><span class="special">]</span> <span class="identifier">type</span><span class="special">;</span> |
| <span class="special">};</span> |
| </pre> |
| <p> |
| The nested typedef <code class="computeroutput"><span class="identifier">type</span></code> |
| is a synonym for <code class="computeroutput"><span class="identifier">ratio</span><span class="special"><</span><span class="identifier">gcd_c</span><span class="special"><</span><span class="identifier">intmax_t</span><span class="special">,</span> <span class="identifier">R1</span><span class="special">::</span><span class="identifier">num</span><span class="special">,</span> <span class="identifier">R2</span><span class="special">::</span><span class="identifier">num</span><span class="special">>::</span><span class="identifier">value</span><span class="special">,</span> <span class="identifier">mpl</span><span class="special">::</span><span class="identifier">lcm_c</span><span class="special"><</span><span class="identifier">intmax_t</span><span class="special">,</span> <span class="identifier">R1</span><span class="special">::</span><span class="identifier">den</span><span class="special">,</span> <span class="identifier">R2</span><span class="special">::</span><span class="identifier">den</span><span class="special">>::</span><span class="identifier">value</span><span class="special">>::</span><span class="identifier">type</span></code>. |
| </p> |
| <a name="ratio.reference.std.ratio_hpp.ratio_arithmetic._code__phrase_role__identifier__ratio_lcm__phrase__phrase_role__special___lt__gt___phrase___code_"></a><h6> |
| <a name="ratio.reference.std.ratio_hpp.ratio_arithmetic._code__phrase_role__identifier__ratio_lcm__phrase__phrase_role__special___lt__gt___phrase___code_-heading"></a> |
| <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio_arithmetic._code__phrase_role__identifier__ratio_lcm__phrase__phrase_role__special___lt__gt___phrase___code_"><code class="computeroutput"><span class="identifier">ratio_lcm</span><span class="special"><></span></code></a> |
| </h6> |
| <p> |
| This extension of the C++ standard helps in the definition of some <span class="bold"><strong>Boost.MPL</strong></span> numeric metafunctions. |
| </p> |
| <pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">R1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">R2</span><span class="special">></span> <span class="keyword">struct</span> <span class="identifier">ratio_lcm</span> <span class="special">{</span> |
| <span class="keyword">typedef</span> <span class="special">[/</span><span class="identifier">see</span> <span class="identifier">below</span><span class="special">]</span> <span class="identifier">type</span><span class="special">;</span> |
| <span class="special">};</span> |
| </pre> |
| <p> |
| The nested typedef <code class="computeroutput"><span class="identifier">type</span></code> |
| is a synonym for <code class="computeroutput"><span class="identifier">ratio</span><span class="special"><</span><span class="identifier">lcm_c</span><span class="special"><</span><span class="identifier">intmax_t</span><span class="special">,</span> <span class="identifier">R1</span><span class="special">::</span><span class="identifier">num</span><span class="special">,</span> <span class="identifier">R2</span><span class="special">::</span><span class="identifier">num</span><span class="special">>::</span><span class="identifier">value</span><span class="special">,</span> <span class="identifier">gcd_c</span><span class="special"><</span><span class="identifier">intmax_t</span><span class="special">,</span> <span class="identifier">R1</span><span class="special">::</span><span class="identifier">den</span><span class="special">,</span> <span class="identifier">R2</span><span class="special">::</span><span class="identifier">den</span><span class="special">>::</span><span class="identifier">value</span><span class="special">>::</span><span class="identifier">type</span></code>. |
| </p> |
| </div> |
| <div class="section"> |
| <div class="titlepage"><div><div><h5 class="title"> |
| <a name="ratio.reference.std.ratio_hpp.ratio_comparison"></a><a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio_comparison" title="ratio Comparison"><code class="computeroutput"><span class="identifier">ratio</span></code> Comparison</a> |
| </h5></div></div></div> |
| <a name="ratio.reference.std.ratio_hpp.ratio_comparison._code__phrase_role__identifier__ratio_equal__phrase__phrase_role__special___lt__gt___phrase___code_"></a><h6> |
| <a name="ratio.reference.std.ratio_hpp.ratio_comparison._code__phrase_role__identifier__ratio_equal__phrase__phrase_role__special___lt__gt___phrase___code_-heading"></a> |
| <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio_comparison._code__phrase_role__identifier__ratio_equal__phrase__phrase_role__special___lt__gt___phrase___code_"><code class="computeroutput"><span class="identifier">ratio_equal</span><span class="special"><></span></code></a> |
| </h6> |
| <pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">R1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">R2</span><span class="special">></span> <span class="keyword">struct</span> <span class="identifier">ratio_equal</span> |
| <span class="special">:</span> <span class="keyword">public</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">integral_constant</span><span class="special"><</span><span class="keyword">bool</span><span class="special">,</span> <span class="special">[/</span><span class="identifier">see</span> <span class="identifier">below</span><span class="special">]</span> <span class="special">></span> <span class="special">{};</span> |
| </pre> |
| <p> |
| If R1::num == R2::num && R1::den == R2::den, ratio_equal derives |
| from true_type, else derives from false_type. |
| </p> |
| <a name="ratio.reference.std.ratio_hpp.ratio_comparison._code__phrase_role__identifier__ratio_not_equal__phrase__phrase_role__special___lt__gt___phrase___code_"></a><h6> |
| <a name="ratio.reference.std.ratio_hpp.ratio_comparison._code__phrase_role__identifier__ratio_not_equal__phrase__phrase_role__special___lt__gt___phrase___code_-heading"></a> |
| <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio_comparison._code__phrase_role__identifier__ratio_not_equal__phrase__phrase_role__special___lt__gt___phrase___code_"><code class="computeroutput"><span class="identifier">ratio_not_equal</span><span class="special"><></span></code></a> |
| </h6> |
| <pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">R1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">R2</span><span class="special">></span> <span class="keyword">struct</span> <span class="identifier">ratio_not_equal</span> |
| <span class="special">:</span> <span class="keyword">public</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">integral_constant</span><span class="special"><</span><span class="keyword">bool</span><span class="special">,</span> <span class="special">!</span><span class="identifier">ratio_equal</span><span class="special"><</span><span class="identifier">R1</span><span class="special">,</span> <span class="identifier">R2</span><span class="special">>::</span><span class="identifier">value</span><span class="special">></span> <span class="special">{};</span> |
| </pre> |
| <a name="ratio.reference.std.ratio_hpp.ratio_comparison._code__phrase_role__identifier__ratio_less__phrase__phrase_role__special___lt__gt___phrase___code_"></a><h6> |
| <a name="ratio.reference.std.ratio_hpp.ratio_comparison._code__phrase_role__identifier__ratio_less__phrase__phrase_role__special___lt__gt___phrase___code_-heading"></a> |
| <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio_comparison._code__phrase_role__identifier__ratio_less__phrase__phrase_role__special___lt__gt___phrase___code_"><code class="computeroutput"><span class="identifier">ratio_less</span><span class="special"><></span></code></a> |
| </h6> |
| <pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">R1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">R2</span><span class="special">></span> |
| <span class="keyword">struct</span> <span class="identifier">ratio_less</span> |
| <span class="special">:</span> <span class="keyword">public</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">integral_constant</span><span class="special"><</span><span class="keyword">bool</span><span class="special">,</span> <span class="special">[/</span><span class="identifier">see</span> <span class="identifier">below</span><span class="special">]</span> <span class="special">></span> <span class="special">{};</span> |
| </pre> |
| <p> |
| If R1::num * R2::den < R2::num * R1::den, ratio_less derives from |
| true_type, else derives from false_type. |
| </p> |
| <a name="ratio.reference.std.ratio_hpp.ratio_comparison._code__phrase_role__identifier__ratio_less_equal__phrase__phrase_role__special___lt__gt___phrase___code_"></a><h6> |
| <a name="ratio.reference.std.ratio_hpp.ratio_comparison._code__phrase_role__identifier__ratio_less_equal__phrase__phrase_role__special___lt__gt___phrase___code_-heading"></a> |
| <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio_comparison._code__phrase_role__identifier__ratio_less_equal__phrase__phrase_role__special___lt__gt___phrase___code_"><code class="computeroutput"><span class="identifier">ratio_less_equal</span><span class="special"><></span></code></a> |
| </h6> |
| <pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">R1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">R2</span><span class="special">></span> <span class="keyword">struct</span> <span class="identifier">ratio_less_equal</span> |
| <span class="special">:</span> <span class="keyword">public</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">integral_constant</span><span class="special"><</span><span class="keyword">bool</span><span class="special">,</span> <span class="special">!</span><span class="identifier">ratio_less</span><span class="special"><</span><span class="identifier">R2</span><span class="special">,</span> <span class="identifier">R1</span><span class="special">>::</span><span class="identifier">value</span><span class="special">></span> <span class="special">{};</span> |
| </pre> |
| <a name="ratio.reference.std.ratio_hpp.ratio_comparison._code__phrase_role__identifier__ratio_greater__phrase__phrase_role__special___lt__gt___phrase___code_"></a><h6> |
| <a name="ratio.reference.std.ratio_hpp.ratio_comparison._code__phrase_role__identifier__ratio_greater__phrase__phrase_role__special___lt__gt___phrase___code_-heading"></a> |
| <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio_comparison._code__phrase_role__identifier__ratio_greater__phrase__phrase_role__special___lt__gt___phrase___code_"><code class="computeroutput"><span class="identifier">ratio_greater</span><span class="special"><></span></code></a> |
| </h6> |
| <pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">R1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">R2</span><span class="special">></span> <span class="keyword">struct</span> <span class="identifier">ratio_greater</span> |
| <span class="special">:</span> <span class="keyword">public</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">integral_constant</span><span class="special"><</span><span class="keyword">bool</span><span class="special">,</span> <span class="identifier">ratio_less</span><span class="special"><</span><span class="identifier">R2</span><span class="special">,</span> <span class="identifier">R1</span><span class="special">>::</span><span class="identifier">value</span><span class="special">></span> <span class="special">{};</span> |
| </pre> |
| <a name="ratio.reference.std.ratio_hpp.ratio_comparison._code__phrase_role__identifier__ratio_greater_equal__phrase__phrase_role__special___lt__gt___phrase___code_"></a><h6> |
| <a name="ratio.reference.std.ratio_hpp.ratio_comparison._code__phrase_role__identifier__ratio_greater_equal__phrase__phrase_role__special___lt__gt___phrase___code_-heading"></a> |
| <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio_comparison._code__phrase_role__identifier__ratio_greater_equal__phrase__phrase_role__special___lt__gt___phrase___code_"><code class="computeroutput"><span class="identifier">ratio_greater_equal</span><span class="special"><></span></code></a> |
| </h6> |
| <pre class="programlisting"><span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">R1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">R2</span><span class="special">></span> <span class="keyword">struct</span> <span class="identifier">ratio_greater_equal</span> |
| <span class="special">:</span> <span class="keyword">public</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">integral_constant</span><span class="special"><</span><span class="keyword">bool</span><span class="special">,</span> <span class="special">!</span><span class="identifier">ratio_less</span><span class="special"><</span><span class="identifier">R1</span><span class="special">,</span> <span class="identifier">R2</span><span class="special">>::</span><span class="identifier">value</span><span class="special">></span> <span class="special">{};</span> |
| </pre> |
| </div> |
| <div class="section"> |
| <div class="titlepage"><div><div><h5 class="title"> |
| <a name="ratio.reference.std.ratio_hpp.ratio_si_typedefs"></a><a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio_si_typedefs" title="SI typedefs">SI |
| typedefs</a> |
| </h5></div></div></div> |
| <p> |
| The <a href="http://en.wikipedia.org/wiki/SI_prefix#List_of_SI_prefixes" target="_top">International |
| System of Units</a> specifies twenty SI prefixes. <span class="bold"><strong>Boost.Ratio</strong></span> |
| defines all except <code class="computeroutput"><span class="identifier">yocto</span></code>, |
| <code class="computeroutput"><span class="identifier">zepto</span></code>, <code class="computeroutput"><span class="identifier">zetta</span></code>, and <code class="computeroutput"><span class="identifier">yotta</span></code> |
| </p> |
| <pre class="programlisting"><span class="comment">// convenience SI typedefs</span> |
| <span class="keyword">typedef</span> <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio" title="Class Template ratio<>"><code class="computeroutput"><span class="identifier">ratio</span></code></a><span class="special"><</span><span class="number">1LL</span><span class="special">,</span> <span class="number">1000000000000000000LL</span><span class="special">></span> <span class="identifier">atto</span><span class="special">;</span> |
| <span class="keyword">typedef</span> <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio" title="Class Template ratio<>"><code class="computeroutput"><span class="identifier">ratio</span></code></a><span class="special"><</span><span class="number">1LL</span><span class="special">,</span> <span class="number">1000000000000000LL</span><span class="special">></span> <span class="identifier">femto</span><span class="special">;</span> |
| <span class="keyword">typedef</span> <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio" title="Class Template ratio<>"><code class="computeroutput"><span class="identifier">ratio</span></code></a><span class="special"><</span><span class="number">1LL</span><span class="special">,</span> <span class="number">1000000000000LL</span><span class="special">></span> <span class="identifier">pico</span><span class="special">;</span> |
| <span class="keyword">typedef</span> <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio" title="Class Template ratio<>"><code class="computeroutput"><span class="identifier">ratio</span></code></a><span class="special"><</span><span class="number">1LL</span><span class="special">,</span> <span class="number">1000000000LL</span><span class="special">></span> <span class="identifier">nano</span><span class="special">;</span> |
| <span class="keyword">typedef</span> <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio" title="Class Template ratio<>"><code class="computeroutput"><span class="identifier">ratio</span></code></a><span class="special"><</span><span class="number">1LL</span><span class="special">,</span> <span class="number">1000000LL</span><span class="special">></span> <span class="identifier">micro</span><span class="special">;</span> |
| <span class="keyword">typedef</span> <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio" title="Class Template ratio<>"><code class="computeroutput"><span class="identifier">ratio</span></code></a><span class="special"><</span><span class="number">1LL</span><span class="special">,</span> <span class="number">1000LL</span><span class="special">></span> <span class="identifier">milli</span><span class="special">;</span> |
| <span class="keyword">typedef</span> <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio" title="Class Template ratio<>"><code class="computeroutput"><span class="identifier">ratio</span></code></a><span class="special"><</span><span class="number">1LL</span><span class="special">,</span> <span class="number">100LL</span><span class="special">></span> <span class="identifier">centi</span><span class="special">;</span> |
| <span class="keyword">typedef</span> <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio" title="Class Template ratio<>"><code class="computeroutput"><span class="identifier">ratio</span></code></a><span class="special"><</span><span class="number">1LL</span><span class="special">,</span> <span class="number">10LL</span><span class="special">></span> <span class="identifier">deci</span><span class="special">;</span> |
| <span class="keyword">typedef</span> <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio" title="Class Template ratio<>"><code class="computeroutput"><span class="identifier">ratio</span></code></a><span class="special"><</span> <span class="number">10LL</span><span class="special">,</span> <span class="number">1LL</span><span class="special">></span> <span class="identifier">deca</span><span class="special">;</span> |
| <span class="keyword">typedef</span> <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio" title="Class Template ratio<>"><code class="computeroutput"><span class="identifier">ratio</span></code></a><span class="special"><</span> <span class="number">100LL</span><span class="special">,</span> <span class="number">1LL</span><span class="special">></span> <span class="identifier">hecto</span><span class="special">;</span> |
| <span class="keyword">typedef</span> <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio" title="Class Template ratio<>"><code class="computeroutput"><span class="identifier">ratio</span></code></a><span class="special"><</span> <span class="number">1000LL</span><span class="special">,</span> <span class="number">1LL</span><span class="special">></span> <span class="identifier">kilo</span><span class="special">;</span> |
| <span class="keyword">typedef</span> <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio" title="Class Template ratio<>"><code class="computeroutput"><span class="identifier">ratio</span></code></a><span class="special"><</span> <span class="number">1000000LL</span><span class="special">,</span> <span class="number">1LL</span><span class="special">></span> <span class="identifier">mega</span><span class="special">;</span> |
| <span class="keyword">typedef</span> <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio" title="Class Template ratio<>"><code class="computeroutput"><span class="identifier">ratio</span></code></a><span class="special"><</span> <span class="number">1000000000LL</span><span class="special">,</span> <span class="number">1LL</span><span class="special">></span> <span class="identifier">giga</span><span class="special">;</span> |
| <span class="keyword">typedef</span> <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio" title="Class Template ratio<>"><code class="computeroutput"><span class="identifier">ratio</span></code></a><span class="special"><</span> <span class="number">1000000000000LL</span><span class="special">,</span> <span class="number">1LL</span><span class="special">></span> <span class="identifier">tera</span><span class="special">;</span> |
| <span class="keyword">typedef</span> <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio" title="Class Template ratio<>"><code class="computeroutput"><span class="identifier">ratio</span></code></a><span class="special"><</span> <span class="number">1000000000000000LL</span><span class="special">,</span> <span class="number">1LL</span><span class="special">></span> <span class="identifier">peta</span><span class="special">;</span> |
| <span class="keyword">typedef</span> <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio" title="Class Template ratio<>"><code class="computeroutput"><span class="identifier">ratio</span></code></a><span class="special"><</span><span class="number">1000000000000000000LL</span><span class="special">,</span> <span class="number">1LL</span><span class="special">></span> <span class="identifier">exa</span><span class="special">;</span> |
| </pre> |
| </div> |
| <div class="section"> |
| <div class="titlepage"><div><div><h5 class="title"> |
| <a name="ratio.reference.std.ratio_hpp.limitations"></a><a class="link" href="reference.html#ratio.reference.std.ratio_hpp.limitations" title="Limitations">Limitations</a> |
| </h5></div></div></div> |
| <p> |
| The following are limitations of Boost.Ratio relative to the specification |
| in the C++0x draft standard: |
| </p> |
| <div class="itemizedlist"><ul class="itemizedlist" type="disc"> |
| <li class="listitem"> |
| Four of the SI units typedefs -- <code class="computeroutput"><span class="identifier">yocto</span></code>, |
| <code class="computeroutput"><span class="identifier">zepto</span></code>, <code class="computeroutput"><span class="identifier">zetta</span></code>, and <code class="computeroutput"><span class="identifier">yotta</span></code> |
| -- are to be conditionally supported, if the range of <code class="computeroutput"><span class="identifier">intmax_t</span></code> allows, but are not supported |
| by <span class="bold"><strong>Boost.Ratio</strong></span>. |
| </li> |
| <li class="listitem"> |
| Ratio values should be of type static <code class="computeroutput"><span class="identifier">constexpr</span> |
| <span class="identifier">intmax_t</span></code> (see <a href="http://www.open-std.org/jtc1/sc22/wg21/docs/papers/2010/n3135.html#1122" target="_top">Ratio |
| values should be constexpr</a>), but for compiler not supporting |
| <code class="computeroutput"><span class="identifier">constexpr</span></code> today, |
| <span class="bold"><strong>Boost.Ratio</strong></span> uses <code class="computeroutput"><span class="keyword">static</span> |
| <span class="keyword">const</span> <span class="identifier">intmax_t</span></code> |
| instead. |
| </li> |
| <li class="listitem"> |
| Rational arithmetic should use template aliases (see <a href="http://www.open-std.org/jtc1/sc22/wg21/docs/papers/2010/n3134.html#921" target="_top">Rational |
| Arithmetic should use template aliases</a>), but those are not |
| available in C++03, so inheritance is used instead. |
| </li> |
| </ul></div> |
| </div> |
| <div class="section"> |
| <div class="titlepage"><div><div><h5 class="title"> |
| <a name="ratio.reference.std.ratio_hpp.extensions"></a><a class="link" href="reference.html#ratio.reference.std.ratio_hpp.extensions" title="Extensions">Extensions</a> |
| </h5></div></div></div> |
| <p> |
| When <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.extensions" title="Extensions"><code class="computeroutput"><span class="identifier">BOOST_RATIO_EXTENSIONS</span></code></a> is defined |
| <span class="bold"><strong>Boost.Ratio</strong></span> provides the following extensions: |
| </p> |
| <div class="itemizedlist"><ul class="itemizedlist" type="disc"> |
| <li class="listitem"> |
| Extends the requirements of the C++0x draft standard by making the |
| copy constructor and copy assignment operator have the same normalized |
| form (see <a href="http://www.open-std.org/jtc1/sc22/wg21/docs/papers/2010/n3133.html#1281" target="_top">copy |
| constructor and assignment between ratios having the same normalized |
| form</a>). |
| </li> |
| <li class="listitem"> |
| More C++ standard like metafunctions applied to ratio types, like |
| __static_abs or __static_negate. |
| </li> |
| <li class="listitem"> |
| An __Boost_Mpl rational constant concept and the associated __Boost_Mpl |
| arithmetic and comparison specializations including __numeric_cast, |
| __plus, __equal_to between others. |
| </li> |
| </ul></div> |
| </div> |
| </div> |
| </div> |
| <div class="section"> |
| <div class="titlepage"><div><div><h3 class="title"> |
| <a name="ratio.reference.io"></a><a class="link" href="reference.html#ratio.reference.io" title="Ratio I/O">Ratio I/O</a> |
| </h3></div></div></div> |
| <div class="toc"><dl><dt><span class="section"><a href="reference.html#ratio.reference.io.ratio_io_hpp">Header <code class="computeroutput"><span class="special"><</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">ratio</span><span class="special">/</span><span class="identifier">ratio_io</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">></span></code></a></span></dt></dl></div> |
| <div class="section"> |
| <div class="titlepage"><div><div><h4 class="title"> |
| <a name="ratio.reference.io.ratio_io_hpp"></a><a class="link" href="reference.html#ratio.reference.io.ratio_io_hpp" title="Header <boost/ratio/ratio_io.hpp>">Header <code class="computeroutput"><span class="special"><</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">ratio</span><span class="special">/</span><span class="identifier">ratio_io</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">></span></code></a> |
| </h4></div></div></div> |
| <p> |
| This header provides <code class="computeroutput"><span class="identifier">ratio_string</span><span class="special"><></span></code> which can generate a textual representation |
| of a <code class="computeroutput"><span class="identifier">ratio</span><span class="special"><></span></code> |
| in the form of a <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">basic_string</span><span class="special"><></span></code>. |
| These strings can be useful for I/O. |
| </p> |
| <pre class="programlisting"><span class="keyword">namespace</span> <span class="identifier">boost</span> <span class="special">{</span> |
| <span class="keyword">template</span> <span class="special"><</span><span class="keyword">class</span> <span class="identifier">Ratio</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">CharT</span><span class="special">></span> |
| <span class="keyword">struct</span> <span class="identifier">ratio_string</span> |
| <span class="special">{</span> |
| <span class="keyword">static</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">basic_string</span><span class="special"><</span><span class="identifier">CharT</span><span class="special">></span> <span class="identifier">short_name</span><span class="special">();</span> |
| <span class="keyword">static</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">basic_string</span><span class="special"><</span><span class="identifier">CharT</span><span class="special">></span> <span class="identifier">long_name</span><span class="special">();</span> |
| <span class="special">};</span> |
| <span class="special">}</span> |
| </pre> |
| </div> |
| </div> |
| <div class="section"> |
| <div class="titlepage"><div><div><h3 class="title"> |
| <a name="ratio.reference.mpl"></a><a class="link" href="reference.html#ratio.reference.mpl" title="Rational Constant">Rational Constant</a> |
| </h3></div></div></div> |
| <div class="toc"><dl> |
| <dt><span class="section"><a href="reference.html#ratio.reference.mpl.rational_constant">Rational Constant |
| Concept</a></span></dt> |
| <dt><span class="section"><a href="reference.html#ratio.reference.mpl.rational_constant_hpp">Header |
| <code class="computeroutput"><span class="special"><</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">ratio</span><span class="special">/</span><span class="identifier">mpl</span><span class="special">/</span><span class="identifier">rational_constant</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">></span></code></a></span></dt> |
| <dt><span class="section"><a href="reference.html#ratio.reference.mpl.mpl_rational_c_tag_hpp">Header |
| <code class="computeroutput"><span class="special"><</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">ratio</span><span class="special">/</span><span class="identifier">mpl</span><span class="special">/</span><span class="identifier">rational_c_tag</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">></span></code></a></span></dt> |
| <dt><span class="section"><a href="reference.html#ratio.reference.mpl.mpl_numeric_cast_hpp">Header <code class="computeroutput"><span class="special"><</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">ratio</span><span class="special">/</span><span class="identifier">mpl</span><span class="special">/</span><span class="identifier">numeric_cast</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">></span></code></a></span></dt> |
| <dt><span class="section"><a href="reference.html#ratio.reference.mpl.mpl_arithmetic_hpp">Header <code class="computeroutput"><span class="special"><</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">ratio</span><span class="special">/</span><span class="identifier">mpl</span><span class="special">/</span><span class="identifier">arithmetic</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">></span></code></a></span></dt> |
| <dt><span class="section"><a href="reference.html#ratio.reference.mpl.mpl_plus_hpp">Header <code class="computeroutput"><span class="special"><</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">ratio</span><span class="special">/</span><span class="identifier">mpl</span><span class="special">/</span><span class="identifier">plus</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">></span></code></a></span></dt> |
| <dt><span class="section"><a href="reference.html#ratio.reference.mpl.mpl_minus_hpp">Header <code class="computeroutput"><span class="special"><</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">ratio</span><span class="special">/</span><span class="identifier">mpl</span><span class="special">/</span><span class="identifier">minus</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">></span></code></a></span></dt> |
| <dt><span class="section"><a href="reference.html#ratio.reference.mpl.mpl_times_hpp">Header <code class="computeroutput"><span class="special"><</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">ratio</span><span class="special">/</span><span class="identifier">mpl</span><span class="special">/</span><span class="identifier">times</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">></span></code></a></span></dt> |
| <dt><span class="section"><a href="reference.html#ratio.reference.mpl.mpl_divides_hpp">Header <code class="computeroutput"><span class="special"><</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">ratio</span><span class="special">/</span><span class="identifier">mpl</span><span class="special">/</span><span class="identifier">divides</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">></span></code></a></span></dt> |
| <dt><span class="section"><a href="reference.html#ratio.reference.mpl.mpl_gcd_hpp">Header <code class="computeroutput"><span class="special"><</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">ratio</span><span class="special">/</span><span class="identifier">mpl</span><span class="special">/</span><span class="identifier">gcd</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">></span></code></a></span></dt> |
| <dt><span class="section"><a href="reference.html#ratio.reference.mpl.mpl_lcm_hpp">Header <code class="computeroutput"><span class="special"><</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">ratio</span><span class="special">/</span><span class="identifier">mpl</span><span class="special">/</span><span class="identifier">lcm</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">></span></code></a></span></dt> |
| <dt><span class="section"><a href="reference.html#ratio.reference.mpl.mpl_negate_hpp">Header <code class="computeroutput"><span class="special"><</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">ratio</span><span class="special">/</span><span class="identifier">mpl</span><span class="special">/</span><span class="identifier">negate</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">></span></code></a></span></dt> |
| <dt><span class="section"><a href="reference.html#ratio.reference.mpl.mpl_abs_hpp">Header <code class="computeroutput"><span class="special"><</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">ratio</span><span class="special">/</span><span class="identifier">mpl</span><span class="special">/</span><span class="identifier">abs</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">></span></code></a></span></dt> |
| <dt><span class="section"><a href="reference.html#ratio.reference.mpl.mpl_sign_hpp">Header <code class="computeroutput"><span class="special"><</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">ratio</span><span class="special">/</span><span class="identifier">mpl</span><span class="special">/</span><span class="identifier">sign</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">></span></code></a></span></dt> |
| <dt><span class="section"><a href="reference.html#ratio.reference.mpl.mpl_comparison_hpp">Header <code class="computeroutput"><span class="special"><</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">ratio</span><span class="special">/</span><span class="identifier">mpl</span><span class="special">/</span><span class="identifier">comparison</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">></span></code></a></span></dt> |
| <dt><span class="section"><a href="reference.html#ratio.reference.mpl.mpl_equal_to_hpp">Header <code class="computeroutput"><span class="special"><</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">ratio</span><span class="special">/</span><span class="identifier">mpl</span><span class="special">/</span><span class="identifier">equal_to</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">></span></code></a></span></dt> |
| <dt><span class="section"><a href="reference.html#ratio.reference.mpl.mpl_not_equal_to_hpp">Header <code class="computeroutput"><span class="special"><</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">ratio</span><span class="special">/</span><span class="identifier">mpl</span><span class="special">/</span><span class="identifier">not_equal_to</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">></span></code></a></span></dt> |
| <dt><span class="section"><a href="reference.html#ratio.reference.mpl.mpl_less_hpp">Header <code class="computeroutput"><span class="special"><</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">ratio</span><span class="special">/</span><span class="identifier">mpl</span><span class="special">/</span><span class="identifier">less</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">></span></code></a></span></dt> |
| <dt><span class="section"><a href="reference.html#ratio.reference.mpl.mpl_less_equal_hpp">Header <code class="computeroutput"><span class="special"><</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">ratio</span><span class="special">/</span><span class="identifier">mpl</span><span class="special">/</span><span class="identifier">less_equal</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">></span></code></a></span></dt> |
| <dt><span class="section"><a href="reference.html#ratio.reference.mpl.mpl_greater_hpp">Header <code class="computeroutput"><span class="special"><</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">ratio</span><span class="special">/</span><span class="identifier">mpl</span><span class="special">/</span><span class="identifier">greater</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">></span></code></a></span></dt> |
| <dt><span class="section"><a href="reference.html#ratio.reference.mpl.mpl_greater_equal_hpp">Header |
| <code class="computeroutput"><span class="special"><</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">ratio</span><span class="special">/</span><span class="identifier">mpl</span><span class="special">/</span><span class="identifier">greater_equal</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">></span></code></a></span></dt> |
| </dl></div> |
| <div class="section"> |
| <div class="titlepage"><div><div><h4 class="title"> |
| <a name="ratio.reference.mpl.rational_constant"></a><a class="link" href="reference.html#ratio.reference.mpl.rational_constant" title="Rational Constant Concept">Rational Constant |
| Concept</a> |
| </h4></div></div></div> |
| <a name="ratio.reference.mpl.rational_constant.description"></a><h6> |
| <a name="ratio.reference.mpl.rational_constant.description-heading"></a> |
| <a class="link" href="reference.html#ratio.reference.mpl.rational_constant.description">Description</a> |
| </h6> |
| <p> |
| A <a class="link" href="reference.html#ratio.reference.mpl.rational_constant" title="Rational Constant Concept">Rational Constant</a> |
| is a holder class for a compile-time value of a rational type. Every <a class="link" href="reference.html#ratio.reference.mpl.rational_constant" title="Rational Constant Concept">Rational Constant</a> |
| is also a nullary Metafunction, returning itself. A rational constant object |
| is implicitly convertible to the corresponding run-time value of the rational |
| type. |
| </p> |
| <a name="ratio.reference.mpl.rational_constant.expression_requirements"></a><h6> |
| <a name="ratio.reference.mpl.rational_constant.expression_requirements-heading"></a> |
| <a class="link" href="reference.html#ratio.reference.mpl.rational_constant.expression_requirements">Expression |
| requirements</a> |
| </h6> |
| <p> |
| In the following table and subsequent specifications, r is a model of |
| <a class="link" href="reference.html#ratio.reference.mpl.rational_constant" title="Rational Constant Concept">Rational Constant</a>. |
| </p> |
| <div class="informaltable"><table class="table"> |
| <colgroup> |
| <col> |
| <col> |
| <col> |
| </colgroup> |
| <thead><tr> |
| <th> |
| <p> |
| Expression |
| </p> |
| </th> |
| <th> |
| <p> |
| Type |
| </p> |
| </th> |
| <th> |
| <p> |
| Complexity |
| </p> |
| </th> |
| </tr></thead> |
| <tbody> |
| <tr> |
| <td> |
| <p> |
| <code class="computeroutput"><span class="identifier">r</span><span class="special">::</span><span class="identifier">tag</span></code> |
| </p> |
| </td> |
| <td> |
| <p> |
| <code class="computeroutput"><span class="identifier">rational_c_tag</span></code> |
| </p> |
| </td> |
| <td> |
| <p> |
| Constant time |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <code class="computeroutput"><span class="identifier">r</span><span class="special">::</span><span class="identifier">value_type</span></code> |
| </p> |
| </td> |
| <td> |
| <p> |
| A rational type |
| </p> |
| </td> |
| <td> |
| <p> |
| Constant time |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <code class="computeroutput"><span class="identifier">r</span><span class="special">::</span><span class="identifier">num_type</span></code> |
| </p> |
| </td> |
| <td> |
| <p> |
| An integral type |
| </p> |
| </td> |
| <td> |
| <p> |
| Constant time |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <code class="computeroutput"><span class="identifier">r</span><span class="special">::</span><span class="identifier">den_type</span></code> |
| </p> |
| </td> |
| <td> |
| <p> |
| An integral type |
| </p> |
| </td> |
| <td> |
| <p> |
| Constant time |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <code class="computeroutput"><span class="identifier">r</span><span class="special">::</span><span class="identifier">num</span></code> |
| </p> |
| </td> |
| <td> |
| <p> |
| An Integral constant expression |
| </p> |
| </td> |
| <td> |
| <p> |
| Constant time |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <code class="computeroutput"><span class="identifier">r</span><span class="special">::</span><span class="identifier">den</span></code> |
| </p> |
| </td> |
| <td> |
| <p> |
| An Integral constant expression |
| </p> |
| </td> |
| <td> |
| <p> |
| Constant time |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <code class="computeroutput"><span class="identifier">r</span><span class="special">::</span><span class="identifier">type</span></code> |
| </p> |
| </td> |
| <td> |
| <p> |
| <a class="link" href="reference.html#ratio.reference.mpl.rational_constant" title="Rational Constant Concept">Rational |
| Constant</a> |
| </p> |
| </td> |
| <td> |
| <p> |
| Constant time |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <code class="computeroutput"><span class="identifier">r</span><span class="special">::</span><span class="identifier">value_type</span> <span class="keyword">const</span> |
| <span class="identifier">c</span><span class="special">=</span><span class="identifier">r</span><span class="special">()</span></code> |
| </p> |
| </td> |
| <td> |
| </td> |
| <td> |
| <p> |
| Constant time |
| </p> |
| </td> |
| </tr> |
| </tbody> |
| </table></div> |
| <a name="ratio.reference.mpl.rational_constant.expression_semantics"></a><h6> |
| <a name="ratio.reference.mpl.rational_constant.expression_semantics-heading"></a> |
| <a class="link" href="reference.html#ratio.reference.mpl.rational_constant.expression_semantics">Expression |
| semantics</a> |
| </h6> |
| <div class="informaltable"><table class="table"> |
| <colgroup> |
| <col> |
| <col> |
| </colgroup> |
| <thead><tr> |
| <th> |
| <p> |
| Expression |
| </p> |
| </th> |
| <th> |
| <p> |
| Semantics |
| </p> |
| </th> |
| </tr></thead> |
| <tbody> |
| <tr> |
| <td> |
| <p> |
| <code class="computeroutput"><span class="identifier">r</span><span class="special">::</span><span class="identifier">tag</span></code> |
| </p> |
| </td> |
| <td> |
| <p> |
| r's tag type; r::tag::value is r's conversion rank. |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <code class="computeroutput"><span class="identifier">r</span><span class="special">::</span><span class="identifier">value_type</span></code> |
| </p> |
| </td> |
| <td> |
| <p> |
| A cv-unqualified type of <code class="computeroutput"><span class="identifier">r</span><span class="special">()</span></code> |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <code class="computeroutput"><span class="identifier">r</span><span class="special">::</span><span class="identifier">num_type</span></code> |
| </p> |
| </td> |
| <td> |
| <p> |
| A cv-unqualified type of <code class="computeroutput"><span class="identifier">r</span><span class="special">::</span><span class="identifier">num</span></code> |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <code class="computeroutput"><span class="identifier">r</span><span class="special">::</span><span class="identifier">den_type</span></code> |
| </p> |
| </td> |
| <td> |
| <p> |
| A cv-unqualified type of <code class="computeroutput"><span class="identifier">r</span><span class="special">::</span><span class="identifier">den</span></code> |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <code class="computeroutput"><span class="identifier">r</span><span class="special">::</span><span class="identifier">num</span></code> |
| </p> |
| </td> |
| <td> |
| <p> |
| The numerator of the rational constant |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <code class="computeroutput"><span class="identifier">r</span><span class="special">::</span><span class="identifier">den</span></code> |
| </p> |
| </td> |
| <td> |
| <p> |
| The denominator of the rational constant |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <code class="computeroutput"><span class="identifier">r</span><span class="special">::</span><span class="identifier">type</span></code> |
| </p> |
| </td> |
| <td> |
| <p> |
| equal_to<n::type,n>::value == true. |
| </p> |
| </td> |
| </tr> |
| <tr> |
| <td> |
| <p> |
| <code class="computeroutput"><span class="identifier">r</span><span class="special">::</span><span class="identifier">value_type</span> <span class="keyword">const</span> |
| <span class="identifier">c</span><span class="special">=</span><span class="identifier">r</span><span class="special">()</span></code> |
| </p> |
| </td> |
| <td> |
| <p> |
| <code class="computeroutput"><span class="identifier">r</span><span class="special">::</span><span class="identifier">value_type</span> <span class="keyword">const</span> |
| <span class="identifier">c</span><span class="special">=</span><span class="identifier">r</span><span class="special">::</span><span class="identifier">value_type</span><span class="special">(</span><span class="identifier">r</span><span class="special">::</span><span class="identifier">num</span><span class="special">,</span><span class="identifier">r</span><span class="special">::</span><span class="identifier">den</span><span class="special">)</span></code> |
| </p> |
| </td> |
| </tr> |
| </tbody> |
| </table></div> |
| <a name="ratio.reference.mpl.rational_constant.models"></a><h6> |
| <a name="ratio.reference.mpl.rational_constant.models-heading"></a> |
| <a class="link" href="reference.html#ratio.reference.mpl.rational_constant.models">Models</a> |
| </h6> |
| <div class="itemizedlist"><ul class="itemizedlist" type="disc"><li class="listitem"> |
| <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio" title="Class Template ratio<>"><code class="computeroutput"><span class="identifier">ratio</span></code></a><> |
| </li></ul></div> |
| </div> |
| <div class="section"> |
| <div class="titlepage"><div><div><h4 class="title"> |
| <a name="ratio.reference.mpl.rational_constant_hpp"></a><a class="link" href="reference.html#ratio.reference.mpl.rational_constant_hpp" title="Header <boost/ratio/mpl/rational_constant.hpp>">Header |
| <code class="computeroutput"><span class="special"><</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">ratio</span><span class="special">/</span><span class="identifier">mpl</span><span class="special">/</span><span class="identifier">rational_constant</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">></span></code></a> |
| </h4></div></div></div> |
| <p> |
| This header includes all the rational constant related header files |
| </p> |
| <pre class="programlisting"><span class="preprocessor">#include</span> <span class="special"><</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">ratio</span><span class="special">/</span><span class="identifier">mpl</span><span class="special">/</span><span class="identifier">rational_c_tag</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">ratio</span><span class="special">/</span><span class="identifier">mpl</span><span class="special">/</span><span class="identifier">numeric_cast</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">ratio</span><span class="special">/</span><span class="identifier">mpl</span><span class="special">/</span><span class="identifier">arithmetic</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">ratio</span><span class="special">/</span><span class="identifier">mpl</span><span class="special">/</span><span class="identifier">comparison</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">></span> |
| </pre> |
| </div> |
| <div class="section"> |
| <div class="titlepage"><div><div><h4 class="title"> |
| <a name="ratio.reference.mpl.mpl_rational_c_tag_hpp"></a><a class="link" href="reference.html#ratio.reference.mpl.mpl_rational_c_tag_hpp" title="Header <boost/ratio/mpl/rational_c_tag.hpp>">Header |
| <code class="computeroutput"><span class="special"><</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">ratio</span><span class="special">/</span><span class="identifier">mpl</span><span class="special">/</span><span class="identifier">rational_c_tag</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">></span></code></a> |
| </h4></div></div></div> |
| <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">mpl</span> <span class="special">{</span> |
| |
| <span class="keyword">struct</span> <span class="identifier">rational_c_tag</span> <span class="special">:</span> <span class="identifier">int_</span><span class="special"><</span><span class="number">10</span><span class="special">></span> <span class="special">{};</span> |
| |
| <span class="special">}</span> |
| <span class="special">}</span> |
| </pre> |
| </div> |
| <div class="section"> |
| <div class="titlepage"><div><div><h4 class="title"> |
| <a name="ratio.reference.mpl.mpl_numeric_cast_hpp"></a><a class="link" href="reference.html#ratio.reference.mpl.mpl_numeric_cast_hpp" title="Header <boost/ratio/mpl/numeric_cast.hpp>">Header <code class="computeroutput"><span class="special"><</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">ratio</span><span class="special">/</span><span class="identifier">mpl</span><span class="special">/</span><span class="identifier">numeric_cast</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">></span></code></a> |
| </h4></div></div></div> |
| <div class="toc"><dl><dt><span class="section"><a href="reference.html#ratio.reference.mpl.mpl_numeric_cast_hpp.numeric_cast"><code class="computeroutput"><span class="identifier">mpl</span><span class="special">::</span><span class="identifier">numeric_cast</span><span class="special"><></span></code> |
| Specialization</a></span></dt></dl></div> |
| <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">mpl</span> <span class="special">{</span> |
| |
| <span class="keyword">template</span><span class="special"><></span> <span class="keyword">struct</span> <span class="identifier">numeric_cast</span><span class="special"><</span> <span class="identifier">integral_c_tag</span><span class="special">,</span><span class="identifier">rational_c_tag</span> <span class="special">>;</span> |
| |
| <span class="special">}</span> |
| <span class="special">}</span> |
| </pre> |
| <div class="section"> |
| <div class="titlepage"><div><div><h5 class="title"> |
| <a name="ratio.reference.mpl.mpl_numeric_cast_hpp.numeric_cast"></a><a class="link" href="reference.html#ratio.reference.mpl.mpl_numeric_cast_hpp.numeric_cast" title="mpl::numeric_cast<> Specialization"><code class="computeroutput"><span class="identifier">mpl</span><span class="special">::</span><span class="identifier">numeric_cast</span><span class="special"><></span></code> |
| Specialization</a> |
| </h5></div></div></div> |
| <p> |
| A Integral Constant is seen as a ratio with numerator the Integral Constant |
| value and denominator 1. |
| </p> |
| <pre class="programlisting"><span class="keyword">template</span><span class="special"><></span> <span class="keyword">struct</span> <span class="identifier">numeric_cast</span><span class="special"><</span> <span class="identifier">integral_c_tag</span><span class="special">,</span><span class="identifier">rational_c_tag</span> <span class="special">></span> |
| <span class="special">{</span> |
| <span class="keyword">template</span><span class="special"><</span> <span class="keyword">typename</span> <span class="identifier">N</span> <span class="special">></span> <span class="keyword">struct</span> <span class="identifier">apply</span> |
| <span class="special">:</span> <span class="identifier">ratio</span><span class="special"><</span> <span class="identifier">N</span><span class="special">::</span><span class="identifier">value</span><span class="special">,</span> <span class="number">1</span> <span class="special">></span> |
| <span class="special">{</span> |
| <span class="special">};</span> |
| <span class="special">};</span> |
| </pre> |
| </div> |
| </div> |
| <div class="section"> |
| <div class="titlepage"><div><div><h4 class="title"> |
| <a name="ratio.reference.mpl.mpl_arithmetic_hpp"></a><a class="link" href="reference.html#ratio.reference.mpl.mpl_arithmetic_hpp" title="Header <boost/ratio/mpl/arithmetic.hpp>">Header <code class="computeroutput"><span class="special"><</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">ratio</span><span class="special">/</span><span class="identifier">mpl</span><span class="special">/</span><span class="identifier">arithmetic</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">></span></code></a> |
| </h4></div></div></div> |
| <p> |
| This header includes all the rational constant arithmetic MPL specializations. |
| </p> |
| <pre class="programlisting"><span class="preprocessor">#include</span> <span class="special"><</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">ratio</span><span class="special">/</span><span class="identifier">mpl</span><span class="special">/</span><span class="identifier">plus</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">ratio</span><span class="special">/</span><span class="identifier">mpl</span><span class="special">/</span><span class="identifier">minus</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">ratio</span><span class="special">/</span><span class="identifier">mpl</span><span class="special">/</span><span class="identifier">times</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">ratio</span><span class="special">/</span><span class="identifier">mpl</span><span class="special">/</span><span class="identifier">divides</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">ratio</span><span class="special">/</span><span class="identifier">mpl</span><span class="special">/</span><span class="identifier">negate</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">ratio</span><span class="special">/</span><span class="identifier">mpl</span><span class="special">/</span><span class="identifier">abs</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">ratio</span><span class="special">/</span><span class="identifier">mpl</span><span class="special">/</span><span class="identifier">sign</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">ratio</span><span class="special">/</span><span class="identifier">mpl</span><span class="special">/</span><span class="identifier">gcd</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">ratio</span><span class="special">/</span><span class="identifier">mpl</span><span class="special">/</span><span class="identifier">lcm</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">></span> |
| </pre> |
| </div> |
| <div class="section"> |
| <div class="titlepage"><div><div><h4 class="title"> |
| <a name="ratio.reference.mpl.mpl_plus_hpp"></a><a class="link" href="reference.html#ratio.reference.mpl.mpl_plus_hpp" title="Header <boost/ratio/mpl/plus.hpp>">Header <code class="computeroutput"><span class="special"><</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">ratio</span><span class="special">/</span><span class="identifier">mpl</span><span class="special">/</span><span class="identifier">plus</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">></span></code></a> |
| </h4></div></div></div> |
| <div class="toc"><dl><dt><span class="section"><a href="reference.html#ratio.reference.mpl.mpl_plus_hpp.plus_impl"><code class="computeroutput"><span class="identifier">mpl</span><span class="special">::</span><span class="identifier">plus_impl</span><span class="special"><></span></code> |
| Specialization</a></span></dt></dl></div> |
| <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">mpl</span> <span class="special">{</span> |
| <span class="keyword">template</span><span class="special"><></span> |
| <span class="keyword">struct</span> <span class="identifier">plus_impl</span><span class="special"><</span> <span class="identifier">rational_c_tag</span><span class="special">,</span><span class="identifier">rational_c_tag</span> <span class="special">>;</span> |
| <span class="special">}</span> |
| <span class="special">}</span> |
| </pre> |
| <div class="section"> |
| <div class="titlepage"><div><div><h5 class="title"> |
| <a name="ratio.reference.mpl.mpl_plus_hpp.plus_impl"></a><a class="link" href="reference.html#ratio.reference.mpl.mpl_plus_hpp.plus_impl" title="mpl::plus_impl<> Specialization"><code class="computeroutput"><span class="identifier">mpl</span><span class="special">::</span><span class="identifier">plus_impl</span><span class="special"><></span></code> |
| Specialization</a> |
| </h5></div></div></div> |
| <p> |
| The specialization relays on the <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio_arithmetic" title="ratio Arithmetic"><code class="computeroutput"><span class="identifier">ratio_add</span></code></a> template class. |
| </p> |
| <pre class="programlisting"><span class="keyword">template</span><span class="special"><></span> |
| <span class="keyword">struct</span> <span class="identifier">plus_impl</span><span class="special"><</span> <span class="identifier">rational_c_tag</span><span class="special">,</span><span class="identifier">rational_c_tag</span> <span class="special">></span> |
| <span class="special">{</span> |
| <span class="keyword">template</span><span class="special"><</span> <span class="keyword">typename</span> <span class="identifier">R1</span><span class="special">,</span> <span class="keyword">typename</span> <span class="identifier">R2</span> <span class="special">></span> <span class="keyword">struct</span> <span class="identifier">apply</span> |
| <span class="special">:</span> <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio_arithmetic" title="ratio Arithmetic"><code class="computeroutput"><span class="identifier">ratio_add</span></code></a><span class="special"><</span><span class="identifier">R1</span><span class="special">,</span> <span class="identifier">R2</span><span class="special">></span> |
| <span class="special">{</span> |
| <span class="special">};</span> |
| <span class="special">};</span> |
| </pre> |
| </div> |
| </div> |
| <div class="section"> |
| <div class="titlepage"><div><div><h4 class="title"> |
| <a name="ratio.reference.mpl.mpl_minus_hpp"></a><a class="link" href="reference.html#ratio.reference.mpl.mpl_minus_hpp" title="Header <boost/ratio/mpl/minus.hpp>">Header <code class="computeroutput"><span class="special"><</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">ratio</span><span class="special">/</span><span class="identifier">mpl</span><span class="special">/</span><span class="identifier">minus</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">></span></code></a> |
| </h4></div></div></div> |
| <div class="toc"><dl><dt><span class="section"><a href="reference.html#ratio.reference.mpl.mpl_minus_hpp.minus_impl"><code class="computeroutput"><span class="identifier">mpl</span><span class="special">::</span><span class="identifier">minus_impl</span><span class="special"><></span></code> |
| Specialization</a></span></dt></dl></div> |
| <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">mpl</span> <span class="special">{</span> |
| <span class="keyword">template</span><span class="special"><></span> |
| <span class="keyword">struct</span> <span class="identifier">minus_impl</span><span class="special"><</span> <span class="identifier">rational_c_tag</span><span class="special">,</span><span class="identifier">rational_c_tag</span> <span class="special">>;</span> |
| <span class="special">}</span> |
| <span class="special">}</span> |
| </pre> |
| <div class="section"> |
| <div class="titlepage"><div><div><h5 class="title"> |
| <a name="ratio.reference.mpl.mpl_minus_hpp.minus_impl"></a><a class="link" href="reference.html#ratio.reference.mpl.mpl_minus_hpp.minus_impl" title="mpl::minus_impl<> Specialization"><code class="computeroutput"><span class="identifier">mpl</span><span class="special">::</span><span class="identifier">minus_impl</span><span class="special"><></span></code> |
| Specialization</a> |
| </h5></div></div></div> |
| <p> |
| The specialization relays on the <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio_arithmetic" title="ratio Arithmetic"><code class="computeroutput"><span class="identifier">ratio_subtract</span></code></a> template class. |
| </p> |
| <pre class="programlisting"><span class="keyword">template</span><span class="special"><></span> |
| <span class="keyword">struct</span> <span class="identifier">plus_impl</span><span class="special"><</span> <span class="identifier">rational_c_tag</span><span class="special">,</span><span class="identifier">rational_c_tag</span> <span class="special">></span> |
| <span class="special">{</span> |
| <span class="keyword">template</span><span class="special"><</span> <span class="keyword">typename</span> <span class="identifier">R1</span><span class="special">,</span> <span class="keyword">typename</span> <span class="identifier">R2</span> <span class="special">></span> <span class="keyword">struct</span> <span class="identifier">apply</span> |
| <span class="special">:</span> <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio_arithmetic" title="ratio Arithmetic"><code class="computeroutput"><span class="identifier">ratio_subtract</span></code></a><span class="special"><</span><span class="identifier">R1</span><span class="special">,</span> <span class="identifier">R2</span><span class="special">></span> |
| <span class="special">{</span> |
| <span class="special">};</span> |
| <span class="special">};</span> |
| </pre> |
| </div> |
| </div> |
| <div class="section"> |
| <div class="titlepage"><div><div><h4 class="title"> |
| <a name="ratio.reference.mpl.mpl_times_hpp"></a><a class="link" href="reference.html#ratio.reference.mpl.mpl_times_hpp" title="Header <boost/ratio/mpl/times.hpp>">Header <code class="computeroutput"><span class="special"><</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">ratio</span><span class="special">/</span><span class="identifier">mpl</span><span class="special">/</span><span class="identifier">times</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">></span></code></a> |
| </h4></div></div></div> |
| <div class="toc"><dl><dt><span class="section"><a href="reference.html#ratio.reference.mpl.mpl_times_hpp.times_impl"><code class="computeroutput"><span class="identifier">mpl</span><span class="special">::</span><span class="identifier">times_impl</span><span class="special"><></span></code> |
| Specialization</a></span></dt></dl></div> |
| <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">mpl</span> <span class="special">{</span> |
| <span class="keyword">template</span><span class="special"><></span> |
| <span class="keyword">struct</span> <span class="identifier">times_impl</span><span class="special"><</span> <span class="identifier">rational_c_tag</span><span class="special">,</span><span class="identifier">rational_c_tag</span> <span class="special">>;</span> |
| <span class="special">}</span> |
| <span class="special">}</span> |
| </pre> |
| <div class="section"> |
| <div class="titlepage"><div><div><h5 class="title"> |
| <a name="ratio.reference.mpl.mpl_times_hpp.times_impl"></a><a class="link" href="reference.html#ratio.reference.mpl.mpl_times_hpp.times_impl" title="mpl::times_impl<> Specialization"><code class="computeroutput"><span class="identifier">mpl</span><span class="special">::</span><span class="identifier">times_impl</span><span class="special"><></span></code> |
| Specialization</a> |
| </h5></div></div></div> |
| <p> |
| The specialization relays on the <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio_arithmetic" title="ratio Arithmetic"><code class="computeroutput"><span class="identifier">ratio_multiply</span></code></a> template class. |
| </p> |
| <pre class="programlisting"><span class="keyword">template</span><span class="special"><></span> |
| <span class="keyword">struct</span> <span class="identifier">times_impl</span><span class="special"><</span> <span class="identifier">rational_c_tag</span><span class="special">,</span><span class="identifier">rational_c_tag</span> <span class="special">></span> |
| <span class="special">{</span> |
| <span class="keyword">template</span><span class="special"><</span> <span class="keyword">typename</span> <span class="identifier">R1</span><span class="special">,</span> <span class="keyword">typename</span> <span class="identifier">R2</span> <span class="special">></span> <span class="keyword">struct</span> <span class="identifier">apply</span> |
| <span class="special">:</span> <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio_arithmetic" title="ratio Arithmetic"><code class="computeroutput"><span class="identifier">ratio_multiply</span></code></a><span class="special"><</span><span class="identifier">R1</span><span class="special">,</span> <span class="identifier">R2</span><span class="special">></span> |
| <span class="special">{</span> |
| <span class="special">};</span> |
| <span class="special">};</span> |
| </pre> |
| </div> |
| </div> |
| <div class="section"> |
| <div class="titlepage"><div><div><h4 class="title"> |
| <a name="ratio.reference.mpl.mpl_divides_hpp"></a><a class="link" href="reference.html#ratio.reference.mpl.mpl_divides_hpp" title="Header <boost/ratio/mpl/divides.hpp>">Header <code class="computeroutput"><span class="special"><</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">ratio</span><span class="special">/</span><span class="identifier">mpl</span><span class="special">/</span><span class="identifier">divides</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">></span></code></a> |
| </h4></div></div></div> |
| <div class="toc"><dl><dt><span class="section"><a href="reference.html#ratio.reference.mpl.mpl_divides_hpp.divides_impl"><code class="computeroutput"><span class="identifier">mpl</span><span class="special">::</span><span class="identifier">divides_impl</span><span class="special"><></span></code> |
| Specialization</a></span></dt></dl></div> |
| <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">mpl</span> <span class="special">{</span> |
| <span class="keyword">template</span><span class="special"><></span> |
| <span class="keyword">struct</span> <span class="identifier">divides_impl</span><span class="special"><</span> <span class="identifier">rational_c_tag</span><span class="special">,</span><span class="identifier">rational_c_tag</span> <span class="special">>;</span> |
| <span class="special">}</span> |
| <span class="special">}</span> |
| </pre> |
| <div class="section"> |
| <div class="titlepage"><div><div><h5 class="title"> |
| <a name="ratio.reference.mpl.mpl_divides_hpp.divides_impl"></a><a class="link" href="reference.html#ratio.reference.mpl.mpl_divides_hpp.divides_impl" title="mpl::divides_impl<> Specialization"><code class="computeroutput"><span class="identifier">mpl</span><span class="special">::</span><span class="identifier">divides_impl</span><span class="special"><></span></code> |
| Specialization</a> |
| </h5></div></div></div> |
| <p> |
| The specialization relays on the <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio_arithmetic" title="ratio Arithmetic"><code class="computeroutput"><span class="identifier">ratio_divide</span></code></a> template class. |
| </p> |
| <pre class="programlisting"><span class="keyword">template</span><span class="special"><></span> |
| <span class="keyword">struct</span> <span class="identifier">divides_impl</span><span class="special"><</span> <span class="identifier">rational_c_tag</span><span class="special">,</span><span class="identifier">rational_c_tag</span> <span class="special">></span> |
| <span class="special">{</span> |
| <span class="keyword">template</span><span class="special"><</span> <span class="keyword">typename</span> <span class="identifier">R1</span><span class="special">,</span> <span class="keyword">typename</span> <span class="identifier">R2</span> <span class="special">></span> <span class="keyword">struct</span> <span class="identifier">apply</span> |
| <span class="special">:</span> <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio_arithmetic" title="ratio Arithmetic"><code class="computeroutput"><span class="identifier">ratio_divide</span></code></a><span class="special"><</span><span class="identifier">R1</span><span class="special">,</span> <span class="identifier">R2</span><span class="special">></span> |
| <span class="special">{</span> |
| <span class="special">};</span> |
| <span class="special">};</span> |
| </pre> |
| </div> |
| </div> |
| <div class="section"> |
| <div class="titlepage"><div><div><h4 class="title"> |
| <a name="ratio.reference.mpl.mpl_gcd_hpp"></a><a class="link" href="reference.html#ratio.reference.mpl.mpl_gcd_hpp" title="Header <boost/ratio/mpl/gcd.hpp>">Header <code class="computeroutput"><span class="special"><</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">ratio</span><span class="special">/</span><span class="identifier">mpl</span><span class="special">/</span><span class="identifier">gcd</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">></span></code></a> |
| </h4></div></div></div> |
| <div class="toc"><dl><dt><span class="section"><a href="reference.html#ratio.reference.mpl.mpl_gcd_hpp.gcd_impl"><code class="computeroutput"><span class="identifier">mpl</span><span class="special">::</span><span class="identifier">gcd_impl</span><span class="special"><></span></code> |
| Specialization</a></span></dt></dl></div> |
| <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">mpl</span> <span class="special">{</span> |
| <span class="keyword">template</span><span class="special"><></span> |
| <span class="keyword">struct</span> <span class="identifier">gcd_impl</span><span class="special"><</span> <span class="identifier">rational_c_tag</span><span class="special">,</span><span class="identifier">rational_c_tag</span> <span class="special">>;</span> |
| <span class="special">}</span> |
| <span class="special">}</span> |
| </pre> |
| <div class="section"> |
| <div class="titlepage"><div><div><h5 class="title"> |
| <a name="ratio.reference.mpl.mpl_gcd_hpp.gcd_impl"></a><a class="link" href="reference.html#ratio.reference.mpl.mpl_gcd_hpp.gcd_impl" title="mpl::gcd_impl<> Specialization"><code class="computeroutput"><span class="identifier">mpl</span><span class="special">::</span><span class="identifier">gcd_impl</span><span class="special"><></span></code> |
| Specialization</a> |
| </h5></div></div></div> |
| <p> |
| The specialization relays on the <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio_arithmetic" title="ratio Arithmetic"><code class="computeroutput"><span class="identifier">ratio_gcd</span></code></a> template class. |
| </p> |
| <pre class="programlisting"><span class="keyword">template</span><span class="special"><></span> |
| <span class="keyword">struct</span> <span class="identifier">gcd_impl</span><span class="special"><</span> <span class="identifier">rational_c_tag</span><span class="special">,</span><span class="identifier">rational_c_tag</span> <span class="special">></span> |
| <span class="special">{</span> |
| <span class="keyword">template</span><span class="special"><</span> <span class="keyword">typename</span> <span class="identifier">R1</span><span class="special">,</span> <span class="keyword">typename</span> <span class="identifier">R2</span> <span class="special">></span> <span class="keyword">struct</span> <span class="identifier">apply</span> |
| <span class="special">:</span> <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio_arithmetic" title="ratio Arithmetic"><code class="computeroutput"><span class="identifier">ratio_gcd</span></code></a><span class="special"><</span><span class="identifier">R1</span><span class="special">,</span> <span class="identifier">R2</span><span class="special">></span> |
| <span class="special">{</span> |
| <span class="special">};</span> |
| <span class="special">};</span> |
| </pre> |
| </div> |
| </div> |
| <div class="section"> |
| <div class="titlepage"><div><div><h4 class="title"> |
| <a name="ratio.reference.mpl.mpl_lcm_hpp"></a><a class="link" href="reference.html#ratio.reference.mpl.mpl_lcm_hpp" title="Header <boost/ratio/mpl/lcm.hpp>">Header <code class="computeroutput"><span class="special"><</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">ratio</span><span class="special">/</span><span class="identifier">mpl</span><span class="special">/</span><span class="identifier">lcm</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">></span></code></a> |
| </h4></div></div></div> |
| <div class="toc"><dl><dt><span class="section"><a href="reference.html#ratio.reference.mpl.mpl_lcm_hpp.lcm_impl"><code class="computeroutput"><span class="identifier">mpl</span><span class="special">::</span><span class="identifier">lcm_impl</span><span class="special"><></span></code> |
| Specialization</a></span></dt></dl></div> |
| <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">mpl</span> <span class="special">{</span> |
| <span class="keyword">template</span><span class="special"><></span> |
| <span class="keyword">struct</span> <span class="identifier">lcm_impl</span><span class="special"><</span> <span class="identifier">rational_c_tag</span><span class="special">,</span><span class="identifier">rational_c_tag</span> <span class="special">>;</span> |
| <span class="special">}</span> |
| <span class="special">}</span> |
| </pre> |
| <div class="section"> |
| <div class="titlepage"><div><div><h5 class="title"> |
| <a name="ratio.reference.mpl.mpl_lcm_hpp.lcm_impl"></a><a class="link" href="reference.html#ratio.reference.mpl.mpl_lcm_hpp.lcm_impl" title="mpl::lcm_impl<> Specialization"><code class="computeroutput"><span class="identifier">mpl</span><span class="special">::</span><span class="identifier">lcm_impl</span><span class="special"><></span></code> |
| Specialization</a> |
| </h5></div></div></div> |
| <p> |
| The specialization relays on the <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio_arithmetic" title="ratio Arithmetic"><code class="computeroutput"><span class="identifier">ratio_lcm</span></code></a> template class. |
| </p> |
| <pre class="programlisting"><span class="keyword">template</span><span class="special"><></span> |
| <span class="keyword">struct</span> <span class="identifier">lcm_impl</span><span class="special"><</span> <span class="identifier">rational_c_tag</span><span class="special">,</span><span class="identifier">rational_c_tag</span> <span class="special">></span> |
| <span class="special">{</span> |
| <span class="keyword">template</span><span class="special"><</span> <span class="keyword">typename</span> <span class="identifier">R1</span><span class="special">,</span> <span class="keyword">typename</span> <span class="identifier">R2</span> <span class="special">></span> <span class="keyword">struct</span> <span class="identifier">apply</span> |
| <span class="special">:</span> <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio_arithmetic" title="ratio Arithmetic"><code class="computeroutput"><span class="identifier">ratio_lcm</span></code></a><span class="special"><</span><span class="identifier">R1</span><span class="special">,</span> <span class="identifier">R2</span><span class="special">></span> |
| <span class="special">{</span> |
| <span class="special">};</span> |
| <span class="special">};</span> |
| </pre> |
| </div> |
| </div> |
| <div class="section"> |
| <div class="titlepage"><div><div><h4 class="title"> |
| <a name="ratio.reference.mpl.mpl_negate_hpp"></a><a class="link" href="reference.html#ratio.reference.mpl.mpl_negate_hpp" title="Header <boost/ratio/mpl/negate.hpp>">Header <code class="computeroutput"><span class="special"><</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">ratio</span><span class="special">/</span><span class="identifier">mpl</span><span class="special">/</span><span class="identifier">negate</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">></span></code></a> |
| </h4></div></div></div> |
| <div class="toc"><dl><dt><span class="section"><a href="reference.html#ratio.reference.mpl.mpl_negate_hpp.negate_impl"><code class="computeroutput"><span class="identifier">mpl</span><span class="special">::</span><span class="identifier">negate_impl</span><span class="special"><></span></code> |
| Specialization</a></span></dt></dl></div> |
| <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">mpl</span> <span class="special">{</span> |
| <span class="keyword">template</span><span class="special"><></span> |
| <span class="keyword">struct</span> <span class="identifier">negate_impl</span><span class="special"><</span> <span class="identifier">rational_c_tag</span> <span class="special">>;</span> |
| <span class="special">}</span> |
| <span class="special">}</span> |
| </pre> |
| <div class="section"> |
| <div class="titlepage"><div><div><h5 class="title"> |
| <a name="ratio.reference.mpl.mpl_negate_hpp.negate_impl"></a><a class="link" href="reference.html#ratio.reference.mpl.mpl_negate_hpp.negate_impl" title="mpl::negate_impl<> Specialization"><code class="computeroutput"><span class="identifier">mpl</span><span class="special">::</span><span class="identifier">negate_impl</span><span class="special"><></span></code> |
| Specialization</a> |
| </h5></div></div></div> |
| <p> |
| The specialization relays on the <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio_arithmetic" title="ratio Arithmetic"><code class="computeroutput"><span class="identifier">ratio_negate</span></code></a> template class. |
| </p> |
| <pre class="programlisting"><span class="keyword">template</span><span class="special"><></span> |
| <span class="keyword">struct</span> <span class="identifier">negate_impl</span><span class="special"><</span> <span class="identifier">rational_c_tag</span> <span class="special">></span> |
| <span class="special">{</span> |
| <span class="keyword">template</span><span class="special"><</span> <span class="keyword">typename</span> <span class="identifier">R</span> <span class="special">></span> <span class="keyword">struct</span> <span class="identifier">apply</span> |
| <span class="special">:</span> <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio_arithmetic" title="ratio Arithmetic"><code class="computeroutput"><span class="identifier">ratio_negate</span></code></a><span class="special"><</span><span class="identifier">R</span><span class="special">></span> |
| <span class="special">{</span> |
| <span class="special">};</span> |
| <span class="special">};</span> |
| </pre> |
| </div> |
| </div> |
| <div class="section"> |
| <div class="titlepage"><div><div><h4 class="title"> |
| <a name="ratio.reference.mpl.mpl_abs_hpp"></a><a class="link" href="reference.html#ratio.reference.mpl.mpl_abs_hpp" title="Header <boost/ratio/mpl/abs.hpp>">Header <code class="computeroutput"><span class="special"><</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">ratio</span><span class="special">/</span><span class="identifier">mpl</span><span class="special">/</span><span class="identifier">abs</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">></span></code></a> |
| </h4></div></div></div> |
| <div class="toc"><dl><dt><span class="section"><a href="reference.html#ratio.reference.mpl.mpl_abs_hpp.abs_impl"><code class="computeroutput"><span class="identifier">mpl</span><span class="special">::</span><span class="identifier">abs_impl</span><span class="special"><></span></code> |
| Specialization</a></span></dt></dl></div> |
| <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">mpl</span> <span class="special">{</span> |
| <span class="keyword">template</span><span class="special"><></span> |
| <span class="keyword">struct</span> <span class="identifier">abs_impl</span><span class="special"><</span> <span class="identifier">rational_c_tag</span> <span class="special">>;</span> |
| <span class="special">}</span> |
| <span class="special">}</span> |
| </pre> |
| <div class="section"> |
| <div class="titlepage"><div><div><h5 class="title"> |
| <a name="ratio.reference.mpl.mpl_abs_hpp.abs_impl"></a><a class="link" href="reference.html#ratio.reference.mpl.mpl_abs_hpp.abs_impl" title="mpl::abs_impl<> Specialization"><code class="computeroutput"><span class="identifier">mpl</span><span class="special">::</span><span class="identifier">abs_impl</span><span class="special"><></span></code> |
| Specialization</a> |
| </h5></div></div></div> |
| <p> |
| The specialization relays on the <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio_arithmetic" title="ratio Arithmetic"><code class="computeroutput"><span class="identifier">ratio_abs</span></code></a> template class. |
| </p> |
| <pre class="programlisting"><span class="keyword">template</span><span class="special"><></span> |
| <span class="keyword">struct</span> <span class="identifier">abs_impl</span><span class="special"><</span> <span class="identifier">rational_c_tag</span> <span class="special">></span> |
| <span class="special">{</span> |
| <span class="keyword">template</span><span class="special"><</span> <span class="keyword">typename</span> <span class="identifier">R</span> <span class="special">></span> <span class="keyword">struct</span> <span class="identifier">apply</span> |
| <span class="special">:</span> <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio_arithmetic" title="ratio Arithmetic"><code class="computeroutput"><span class="identifier">ratio_abs</span></code></a><span class="special"><</span><span class="identifier">R</span><span class="special">></span> |
| <span class="special">{</span> |
| <span class="special">};</span> |
| <span class="special">};</span> |
| </pre> |
| </div> |
| </div> |
| <div class="section"> |
| <div class="titlepage"><div><div><h4 class="title"> |
| <a name="ratio.reference.mpl.mpl_sign_hpp"></a><a class="link" href="reference.html#ratio.reference.mpl.mpl_sign_hpp" title="Header <boost/ratio/mpl/sign.hpp>">Header <code class="computeroutput"><span class="special"><</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">ratio</span><span class="special">/</span><span class="identifier">mpl</span><span class="special">/</span><span class="identifier">sign</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">></span></code></a> |
| </h4></div></div></div> |
| <div class="toc"><dl><dt><span class="section"><a href="reference.html#ratio.reference.mpl.mpl_sign_hpp.sign_impl"><code class="computeroutput"><span class="identifier">mpl</span><span class="special">::</span><span class="identifier">sign_impl</span><span class="special"><></span></code> |
| Specialization</a></span></dt></dl></div> |
| <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">mpl</span> <span class="special">{</span> |
| <span class="keyword">template</span><span class="special"><></span> |
| <span class="keyword">struct</span> <span class="identifier">sign_impl</span><span class="special"><</span> <span class="identifier">rational_c_tag</span> <span class="special">>;</span> |
| <span class="special">}</span> |
| <span class="special">}</span> |
| </pre> |
| <div class="section"> |
| <div class="titlepage"><div><div><h5 class="title"> |
| <a name="ratio.reference.mpl.mpl_sign_hpp.sign_impl"></a><a class="link" href="reference.html#ratio.reference.mpl.mpl_sign_hpp.sign_impl" title="mpl::sign_impl<> Specialization"><code class="computeroutput"><span class="identifier">mpl</span><span class="special">::</span><span class="identifier">sign_impl</span><span class="special"><></span></code> |
| Specialization</a> |
| </h5></div></div></div> |
| <p> |
| The specialization relays on the <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio_arithmetic" title="ratio Arithmetic"><code class="computeroutput"><span class="identifier">ratio_sign</span></code></a> template class. |
| </p> |
| <pre class="programlisting"><span class="keyword">template</span><span class="special"><></span> |
| <span class="keyword">struct</span> <span class="identifier">sign_impl</span><span class="special"><</span> <span class="identifier">rational_c_tag</span> <span class="special">></span> |
| <span class="special">{</span> |
| <span class="keyword">template</span><span class="special"><</span> <span class="keyword">typename</span> <span class="identifier">R</span> <span class="special">></span> <span class="keyword">struct</span> <span class="identifier">apply</span> |
| <span class="special">:</span> <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio_arithmetic" title="ratio Arithmetic"><code class="computeroutput"><span class="identifier">ratio_sign</span></code></a><span class="special"><</span><span class="identifier">R</span><span class="special">></span> |
| <span class="special">{</span> |
| <span class="special">};</span> |
| <span class="special">};</span> |
| </pre> |
| </div> |
| </div> |
| <div class="section"> |
| <div class="titlepage"><div><div><h4 class="title"> |
| <a name="ratio.reference.mpl.mpl_comparison_hpp"></a><a class="link" href="reference.html#ratio.reference.mpl.mpl_comparison_hpp" title="Header <boost/ratio/mpl/comparison.hpp>">Header <code class="computeroutput"><span class="special"><</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">ratio</span><span class="special">/</span><span class="identifier">mpl</span><span class="special">/</span><span class="identifier">comparison</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">></span></code></a> |
| </h4></div></div></div> |
| <p> |
| This header includes all the rational constant comparison MPL specializations. |
| </p> |
| <pre class="programlisting"><span class="preprocessor">#include</span> <span class="special"><</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">ratio</span><span class="special">/</span><span class="identifier">mpl</span><span class="special">/</span><span class="identifier">equal_to</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">ratio</span><span class="special">/</span><span class="identifier">mpl</span><span class="special">/</span><span class="identifier">not_equal_to</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">ratio</span><span class="special">/</span><span class="identifier">mpl</span><span class="special">/</span><span class="identifier">less</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">ratio</span><span class="special">/</span><span class="identifier">mpl</span><span class="special">/</span><span class="identifier">less_equal</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">ratio</span><span class="special">/</span><span class="identifier">mpl</span><span class="special">/</span><span class="identifier">greater</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">ratio</span><span class="special">/</span><span class="identifier">mpl</span><span class="special">/</span><span class="identifier">greater_equal</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">></span> |
| </pre> |
| </div> |
| <div class="section"> |
| <div class="titlepage"><div><div><h4 class="title"> |
| <a name="ratio.reference.mpl.mpl_equal_to_hpp"></a><a class="link" href="reference.html#ratio.reference.mpl.mpl_equal_to_hpp" title="Header <boost/ratio/mpl/equal_to.hpp>">Header <code class="computeroutput"><span class="special"><</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">ratio</span><span class="special">/</span><span class="identifier">mpl</span><span class="special">/</span><span class="identifier">equal_to</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">></span></code></a> |
| </h4></div></div></div> |
| <div class="toc"><dl><dt><span class="section"><a href="reference.html#ratio.reference.mpl.mpl_equal_to_hpp.equal_to"><code class="computeroutput"><span class="identifier">mpl</span><span class="special">::</span><span class="identifier">equal_to_impl</span><span class="special"><></span></code> |
| Specialization</a></span></dt></dl></div> |
| <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">mpl</span> <span class="special">{</span> |
| <span class="keyword">template</span><span class="special"><></span> |
| <span class="keyword">struct</span> <span class="identifier">equal_to_impl</span><span class="special"><</span> <span class="identifier">rational_c_tag</span><span class="special">,</span><span class="identifier">rational_c_tag</span> <span class="special">>;</span> |
| <span class="special">}</span> |
| <span class="special">}</span> |
| </pre> |
| <div class="section"> |
| <div class="titlepage"><div><div><h5 class="title"> |
| <a name="ratio.reference.mpl.mpl_equal_to_hpp.equal_to"></a><a class="link" href="reference.html#ratio.reference.mpl.mpl_equal_to_hpp.equal_to" title="mpl::equal_to_impl<> Specialization"><code class="computeroutput"><span class="identifier">mpl</span><span class="special">::</span><span class="identifier">equal_to_impl</span><span class="special"><></span></code> |
| Specialization</a> |
| </h5></div></div></div> |
| <p> |
| The specialization relays on the <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio_comparison" title="ratio Comparison"><code class="computeroutput"><span class="identifier">ratio_equal</span></code></a> template class. |
| </p> |
| <pre class="programlisting"><span class="keyword">template</span><span class="special"><></span> |
| <span class="keyword">struct</span> <span class="identifier">equal_to_impl</span><span class="special"><</span> <span class="identifier">rational_c_tag</span><span class="special">,</span><span class="identifier">rational_c_tag</span> <span class="special">></span> |
| <span class="special">{</span> |
| <span class="keyword">template</span><span class="special"><</span> <span class="keyword">typename</span> <span class="identifier">R1</span><span class="special">,</span> <span class="keyword">typename</span> <span class="identifier">R2</span> <span class="special">></span> <span class="keyword">struct</span> <span class="identifier">apply</span> |
| <span class="special">:</span> <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio_comparison" title="ratio Comparison"><code class="computeroutput"><span class="identifier">ratio_equal</span></code></a><span class="special"><</span><span class="identifier">R1</span><span class="special">,</span> <span class="identifier">R2</span><span class="special">></span> |
| <span class="special">{</span> |
| <span class="special">};</span> |
| <span class="special">};</span> |
| </pre> |
| </div> |
| </div> |
| <div class="section"> |
| <div class="titlepage"><div><div><h4 class="title"> |
| <a name="ratio.reference.mpl.mpl_not_equal_to_hpp"></a><a class="link" href="reference.html#ratio.reference.mpl.mpl_not_equal_to_hpp" title="Header <boost/ratio/mpl/not_equal_to.hpp>">Header <code class="computeroutput"><span class="special"><</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">ratio</span><span class="special">/</span><span class="identifier">mpl</span><span class="special">/</span><span class="identifier">not_equal_to</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">></span></code></a> |
| </h4></div></div></div> |
| <div class="toc"><dl><dt><span class="section"><a href="reference.html#ratio.reference.mpl.mpl_not_equal_to_hpp.not_equal_to"><code class="computeroutput"><span class="identifier">mpl</span><span class="special">::</span><span class="identifier">not_equal_to_impl</span><span class="special"><></span></code> |
| Specialization</a></span></dt></dl></div> |
| <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">mpl</span> <span class="special">{</span> |
| <span class="keyword">template</span><span class="special"><></span> |
| <span class="keyword">struct</span> <span class="identifier">not_equal_to_impl</span><span class="special"><</span> <span class="identifier">rational_c_tag</span><span class="special">,</span><span class="identifier">rational_c_tag</span> <span class="special">>;</span> |
| <span class="special">}</span> |
| <span class="special">}</span> |
| </pre> |
| <div class="section"> |
| <div class="titlepage"><div><div><h5 class="title"> |
| <a name="ratio.reference.mpl.mpl_not_equal_to_hpp.not_equal_to"></a><a class="link" href="reference.html#ratio.reference.mpl.mpl_not_equal_to_hpp.not_equal_to" title="mpl::not_equal_to_impl<> Specialization"><code class="computeroutput"><span class="identifier">mpl</span><span class="special">::</span><span class="identifier">not_equal_to_impl</span><span class="special"><></span></code> |
| Specialization</a> |
| </h5></div></div></div> |
| <p> |
| The specialization relays on the <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio_comparison" title="ratio Comparison"><code class="computeroutput"><span class="identifier">ratio_not_equal</span></code></a> template class. |
| </p> |
| <pre class="programlisting"><span class="keyword">template</span><span class="special"><></span> |
| <span class="keyword">struct</span> <span class="identifier">not_equal_to_impl</span><span class="special"><</span> <span class="identifier">rational_c_tag</span><span class="special">,</span><span class="identifier">rational_c_tag</span> <span class="special">></span> |
| <span class="special">{</span> |
| <span class="keyword">template</span><span class="special"><</span> <span class="keyword">typename</span> <span class="identifier">R1</span><span class="special">,</span> <span class="keyword">typename</span> <span class="identifier">R2</span> <span class="special">></span> <span class="keyword">struct</span> <span class="identifier">apply</span> |
| <span class="special">:</span> <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio_comparison" title="ratio Comparison"><code class="computeroutput"><span class="identifier">ratio_not_equal</span></code></a><span class="special"><</span><span class="identifier">R1</span><span class="special">,</span> <span class="identifier">R2</span><span class="special">></span> |
| <span class="special">{</span> |
| <span class="special">};</span> |
| <span class="special">};</span> |
| </pre> |
| </div> |
| </div> |
| <div class="section"> |
| <div class="titlepage"><div><div><h4 class="title"> |
| <a name="ratio.reference.mpl.mpl_less_hpp"></a><a class="link" href="reference.html#ratio.reference.mpl.mpl_less_hpp" title="Header <boost/ratio/mpl/less.hpp>">Header <code class="computeroutput"><span class="special"><</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">ratio</span><span class="special">/</span><span class="identifier">mpl</span><span class="special">/</span><span class="identifier">less</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">></span></code></a> |
| </h4></div></div></div> |
| <div class="toc"><dl><dt><span class="section"><a href="reference.html#ratio.reference.mpl.mpl_less_hpp.less"><code class="computeroutput"><span class="identifier">mpl</span><span class="special">::</span><span class="identifier">less_impl</span><span class="special"><></span></code> |
| Specialization</a></span></dt></dl></div> |
| <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">mpl</span> <span class="special">{</span> |
| <span class="keyword">template</span><span class="special"><></span> |
| <span class="keyword">struct</span> <span class="identifier">less_impl</span><span class="special"><</span> <span class="identifier">rational_c_tag</span><span class="special">,</span><span class="identifier">rational_c_tag</span> <span class="special">>;</span> |
| <span class="special">}</span> |
| <span class="special">}</span> |
| </pre> |
| <div class="section"> |
| <div class="titlepage"><div><div><h5 class="title"> |
| <a name="ratio.reference.mpl.mpl_less_hpp.less"></a><a class="link" href="reference.html#ratio.reference.mpl.mpl_less_hpp.less" title="mpl::less_impl<> Specialization"><code class="computeroutput"><span class="identifier">mpl</span><span class="special">::</span><span class="identifier">less_impl</span><span class="special"><></span></code> |
| Specialization</a> |
| </h5></div></div></div> |
| <p> |
| The specialization relays on the <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio_comparison" title="ratio Comparison"><code class="computeroutput"><span class="identifier">ratio_less</span></code></a> template class. |
| </p> |
| <pre class="programlisting"><span class="keyword">template</span><span class="special"><></span> |
| <span class="keyword">struct</span> <span class="identifier">less_impl</span><span class="special"><</span> <span class="identifier">rational_c_tag</span><span class="special">,</span><span class="identifier">rational_c_tag</span> <span class="special">></span> |
| <span class="special">{</span> |
| <span class="keyword">template</span><span class="special"><</span> <span class="keyword">typename</span> <span class="identifier">R1</span><span class="special">,</span> <span class="keyword">typename</span> <span class="identifier">R2</span> <span class="special">></span> <span class="keyword">struct</span> <span class="identifier">apply</span> |
| <span class="special">:</span> <span class="identifier">ratio_less</span><span class="special"><</span><span class="identifier">R1</span><span class="special">,</span> <span class="identifier">R2</span><span class="special">></span> |
| <span class="special">{</span> |
| <span class="special">};</span> |
| <span class="special">};</span> |
| </pre> |
| </div> |
| </div> |
| <div class="section"> |
| <div class="titlepage"><div><div><h4 class="title"> |
| <a name="ratio.reference.mpl.mpl_less_equal_hpp"></a><a class="link" href="reference.html#ratio.reference.mpl.mpl_less_equal_hpp" title="Header <boost/ratio/mpl/less_equal.hpp>">Header <code class="computeroutput"><span class="special"><</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">ratio</span><span class="special">/</span><span class="identifier">mpl</span><span class="special">/</span><span class="identifier">less_equal</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">></span></code></a> |
| </h4></div></div></div> |
| <div class="toc"><dl><dt><span class="section"><a href="reference.html#ratio.reference.mpl.mpl_less_equal_hpp.less_equal"><code class="computeroutput"><span class="identifier">mpl</span><span class="special">::</span><span class="identifier">less_equal_impl</span><span class="special"><></span></code> |
| Specialization</a></span></dt></dl></div> |
| <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">mpl</span> <span class="special">{</span> |
| <span class="keyword">template</span><span class="special"><></span> |
| <span class="keyword">struct</span> <span class="identifier">less_equal_impl</span><span class="special"><</span> <span class="identifier">rational_c_tag</span><span class="special">,</span><span class="identifier">rational_c_tag</span> <span class="special">>;</span> |
| <span class="special">}</span> |
| <span class="special">}</span> |
| </pre> |
| <div class="section"> |
| <div class="titlepage"><div><div><h5 class="title"> |
| <a name="ratio.reference.mpl.mpl_less_equal_hpp.less_equal"></a><a class="link" href="reference.html#ratio.reference.mpl.mpl_less_equal_hpp.less_equal" title="mpl::less_equal_impl<> Specialization"><code class="computeroutput"><span class="identifier">mpl</span><span class="special">::</span><span class="identifier">less_equal_impl</span><span class="special"><></span></code> |
| Specialization</a> |
| </h5></div></div></div> |
| <p> |
| The specialization relays on the <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio_comparison" title="ratio Comparison"><code class="computeroutput"><span class="identifier">ratio_less_equal</span></code></a> template class. |
| </p> |
| <pre class="programlisting"><span class="keyword">template</span><span class="special"><></span> |
| <span class="keyword">struct</span> <span class="identifier">less_equal_impl</span><span class="special"><</span> <span class="identifier">rational_c_tag</span><span class="special">,</span><span class="identifier">rational_c_tag</span> <span class="special">></span> |
| <span class="special">{</span> |
| <span class="keyword">template</span><span class="special"><</span> <span class="keyword">typename</span> <span class="identifier">R1</span><span class="special">,</span> <span class="keyword">typename</span> <span class="identifier">R2</span> <span class="special">></span> <span class="keyword">struct</span> <span class="identifier">apply</span> |
| <span class="special">:</span> <span class="identifier">ratio_less_equal</span><span class="special"><</span><span class="identifier">R1</span><span class="special">,</span> <span class="identifier">R2</span><span class="special">></span> |
| <span class="special">{</span> |
| <span class="special">};</span> |
| <span class="special">};</span> |
| </pre> |
| </div> |
| </div> |
| <div class="section"> |
| <div class="titlepage"><div><div><h4 class="title"> |
| <a name="ratio.reference.mpl.mpl_greater_hpp"></a><a class="link" href="reference.html#ratio.reference.mpl.mpl_greater_hpp" title="Header <boost/ratio/mpl/greater.hpp>">Header <code class="computeroutput"><span class="special"><</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">ratio</span><span class="special">/</span><span class="identifier">mpl</span><span class="special">/</span><span class="identifier">greater</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">></span></code></a> |
| </h4></div></div></div> |
| <div class="toc"><dl><dt><span class="section"><a href="reference.html#ratio.reference.mpl.mpl_greater_hpp.greater"><code class="computeroutput"><span class="identifier">mpl</span><span class="special">::</span><span class="identifier">greater_impl</span><span class="special"><></span></code> |
| Specialization</a></span></dt></dl></div> |
| <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">mpl</span> <span class="special">{</span> |
| <span class="keyword">template</span><span class="special"><></span> |
| <span class="keyword">struct</span> <span class="identifier">greater_impl</span><span class="special"><</span> <span class="identifier">rational_c_tag</span><span class="special">,</span><span class="identifier">rational_c_tag</span> <span class="special">>;</span> |
| <span class="special">}</span> |
| <span class="special">}</span> |
| </pre> |
| <div class="section"> |
| <div class="titlepage"><div><div><h5 class="title"> |
| <a name="ratio.reference.mpl.mpl_greater_hpp.greater"></a><a class="link" href="reference.html#ratio.reference.mpl.mpl_greater_hpp.greater" title="mpl::greater_impl<> Specialization"><code class="computeroutput"><span class="identifier">mpl</span><span class="special">::</span><span class="identifier">greater_impl</span><span class="special"><></span></code> |
| Specialization</a> |
| </h5></div></div></div> |
| <p> |
| The specialization relays on the <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio_comparison" title="ratio Comparison"><code class="computeroutput"><span class="identifier">ratio_greater</span></code></a> template class. |
| </p> |
| <pre class="programlisting"><span class="keyword">template</span><span class="special"><></span> |
| <span class="keyword">struct</span> <span class="identifier">greater_impl</span><span class="special"><</span> <span class="identifier">rational_c_tag</span><span class="special">,</span><span class="identifier">rational_c_tag</span> <span class="special">></span> |
| <span class="special">{</span> |
| <span class="keyword">template</span><span class="special"><</span> <span class="keyword">typename</span> <span class="identifier">R1</span><span class="special">,</span> <span class="keyword">typename</span> <span class="identifier">R2</span> <span class="special">></span> <span class="keyword">struct</span> <span class="identifier">apply</span> |
| <span class="special">:</span> <span class="identifier">ratio_greater</span><span class="special"><</span><span class="identifier">R1</span><span class="special">,</span> <span class="identifier">R2</span><span class="special">></span> |
| <span class="special">{</span> |
| <span class="special">};</span> |
| <span class="special">};</span> |
| </pre> |
| </div> |
| </div> |
| <div class="section"> |
| <div class="titlepage"><div><div><h4 class="title"> |
| <a name="ratio.reference.mpl.mpl_greater_equal_hpp"></a><a class="link" href="reference.html#ratio.reference.mpl.mpl_greater_equal_hpp" title="Header <boost/ratio/mpl/greater_equal.hpp>">Header |
| <code class="computeroutput"><span class="special"><</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">ratio</span><span class="special">/</span><span class="identifier">mpl</span><span class="special">/</span><span class="identifier">greater_equal</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">></span></code></a> |
| </h4></div></div></div> |
| <div class="toc"><dl><dt><span class="section"><a href="reference.html#ratio.reference.mpl.mpl_greater_equal_hpp.greater_equal"><code class="computeroutput"><span class="identifier">mpl</span><span class="special">::</span><span class="identifier">greater_equal_impl</span><span class="special"><></span></code> |
| Specialization</a></span></dt></dl></div> |
| <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">mpl</span> <span class="special">{</span> |
| <span class="keyword">template</span><span class="special"><></span> |
| <span class="keyword">struct</span> <span class="identifier">greater_equal_impl</span><span class="special"><</span> <span class="identifier">rational_c_tag</span><span class="special">,</span><span class="identifier">rational_c_tag</span> <span class="special">>;</span> |
| <span class="special">}</span> |
| <span class="special">}</span> |
| </pre> |
| <div class="section"> |
| <div class="titlepage"><div><div><h5 class="title"> |
| <a name="ratio.reference.mpl.mpl_greater_equal_hpp.greater_equal"></a><a class="link" href="reference.html#ratio.reference.mpl.mpl_greater_equal_hpp.greater_equal" title="mpl::greater_equal_impl<> Specialization"><code class="computeroutput"><span class="identifier">mpl</span><span class="special">::</span><span class="identifier">greater_equal_impl</span><span class="special"><></span></code> |
| Specialization</a> |
| </h5></div></div></div> |
| <p> |
| The specialization relays on the <a class="link" href="reference.html#ratio.reference.std.ratio_hpp.ratio_comparison" title="ratio Comparison"><code class="computeroutput"><span class="identifier">ratio_greater_equal</span></code></a> template |
| class. |
| </p> |
| <pre class="programlisting"><span class="keyword">template</span><span class="special"><></span> |
| <span class="keyword">struct</span> <span class="identifier">greater_equal_impl</span><span class="special"><</span> <span class="identifier">rational_c_tag</span><span class="special">,</span><span class="identifier">rational_c_tag</span> <span class="special">></span> |
| <span class="special">{</span> |
| <span class="keyword">template</span><span class="special"><</span> <span class="keyword">typename</span> <span class="identifier">R1</span><span class="special">,</span> <span class="keyword">typename</span> <span class="identifier">R2</span> <span class="special">></span> <span class="keyword">struct</span> <span class="identifier">apply</span> |
| <span class="special">:</span> <span class="identifier">ratio_greater_equal</span><span class="special"><</span><span class="identifier">R1</span><span class="special">,</span> <span class="identifier">R2</span><span class="special">></span> |
| <span class="special">{</span> |
| <span class="special">};</span> |
| <span class="special">};</span> |
| </pre> |
| </div> |
| </div> |
| </div> |
| </div> |
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| <td align="right"><div class="copyright-footer">Copyright © 2008 Howard Hinnant<br>Copyright © 2006, 2008 Beman Dawes<br>Copyright © 2009-2011 Vicente J. Botet |
| Escriba<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> |
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