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<title>libstdc++: Rational Arithmetic</title>
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<div class="title">Rational Arithmetic</div> </div>
<div class="ingroups"><a class="el" href="a01176.html">Utilities</a></div></div>
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Collaboration diagram for Rational Arithmetic:</div>
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<li>struct <a class="el" href="a00671.html">std::ratio< _Num, _Den ></a>
<dl class="el"><dd class="mdescRight">Provides compile-time rational arithmetic. <a href="a00671.html#details">More...</a><br/></dl><li>struct <a class="el" href="a00672.html">std::ratio_add< _R1, _R2 ></a>
<dl class="el"><dd class="mdescRight"><a class="el" href="a00672.html" title="ratio_add">ratio_add</a> <a href="a00672.html#details">More...</a><br/></dl><li>struct <a class="el" href="a00673.html">std::ratio_divide< _R1, _R2 ></a>
<dl class="el"><dd class="mdescRight"><a class="el" href="a00673.html" title="ratio_divide">ratio_divide</a> <a href="a00673.html#details">More...</a><br/></dl><li>struct <a class="el" href="a00674.html">std::ratio_equal< _R1, _R2 ></a>
<dl class="el"><dd class="mdescRight"><a class="el" href="a00674.html" title="ratio_equal">ratio_equal</a> <a href="a00674.html#details">More...</a><br/></dl><li>struct <a class="el" href="a00675.html">std::ratio_multiply< _R1, _R2 ></a>
<dl class="el"><dd class="mdescRight"><a class="el" href="a00675.html" title="ratio_multiply">ratio_multiply</a> <a href="a00675.html#details">More...</a><br/></dl><li>struct <a class="el" href="a00676.html">std::ratio_not_equal< _R1, _R2 ></a>
<dl class="el"><dd class="mdescRight"><a class="el" href="a00676.html" title="ratio_not_equal">ratio_not_equal</a> <a href="a00676.html#details">More...</a><br/></dl><li>struct <a class="el" href="a00677.html">std::ratio_subtract< _R1, _R2 ></a>
<dl class="el"><dd class="mdescRight"><a class="el" href="a00677.html" title="ratio_subtract">ratio_subtract</a> <a href="a00677.html#details">More...</a><br/></dl></ul>
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Typedefs</h2>
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<li><a class="anchor" id="ga2c2933c16c723af4d77eb939438617ca"></a><!-- doxytag: member="ratio::type" ref="ga2c2933c16c723af4d77eb939438617ca" args="" -->
typedef ratio< num, den > <b>std::ratio::type</b>
<li><a class="anchor" id="ga3b4c9a8c51e689dc123ee91c11f87f9b"></a><!-- doxytag: member="ratio::type" ref="ga3b4c9a8c51e689dc123ee91c11f87f9b" args="" -->
typedef ratio_multiply< _R1, <br class="typebreak"/>
ratio< _R2::den, _R2::num ><br class="typebreak"/>
>::type <b>std::ratio_divide::type</b>
<li><a class="anchor" id="ga79d96b6335c46a5a2a7386970a91cd9b"></a><!-- doxytag: member="ratio::type" ref="ga79d96b6335c46a5a2a7386970a91cd9b" args="" -->
typedef ratio< __safe_multiply<br class="typebreak"/>
<(_R1::num/__gcd1),(_R2::num/__gcd2)><br class="typebreak"/>
::value, __safe_multiply<br class="typebreak"/>
<(_R1::den/__gcd2),(_R2::den/__gcd1)><br class="typebreak"/>
::value > <b>std::ratio_multiply::type</b>
<li><a class="anchor" id="ga151756d11e2bb4503241dfcf6cbf3bc1"></a><!-- doxytag: member="ratio::type" ref="ga151756d11e2bb4503241dfcf6cbf3bc1" args="" -->
typedef ratio< __n/__gcd2, <br class="typebreak"/>
__safe_multiply< _R1::den/__gcd2, <br class="typebreak"/>
_R2::den/__gcd >::value > <b>std::ratio_add::type</b>
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Functions</h2>
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<li><a class="anchor" id="ga039aedd1b59141f4c1c556ce5c166e01"></a><!-- doxytag: member="ratio::static_assert" ref="ga039aedd1b59141f4c1c556ce5c166e01" args="(_Num >=-__INTMAX_MAX__ &&_Den >=-__INTMAX_MAX__,"out of range")" -->
<b>std::ratio::static_assert</b> (_Num >=-__INTMAX_MAX__ &&_Den >=-__INTMAX_MAX__,"out of range")
</ul>
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Variables</h2>
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<li><a class="anchor" id="ga74b18a02929d0dfc37fc30b390390a8d"></a><!-- doxytag: member="ratio::den" ref="ga74b18a02929d0dfc37fc30b390390a8d" args="" -->
static constexpr intmax_t <b>std::ratio::den</b>
<li><a class="anchor" id="ga5a157e90249cb0f4be08cfad34f6b037"></a><!-- doxytag: member="ratio::den" ref="ga5a157e90249cb0f4be08cfad34f6b037" args="" -->
static constexpr intmax_t <b>std::ratio_divide::den</b>
<li><a class="anchor" id="ga410583f491b0c4994d902c2e02f5a740"></a><!-- doxytag: member="ratio::den" ref="ga410583f491b0c4994d902c2e02f5a740" args="" -->
static constexpr intmax_t <b>std::ratio_add::den</b>
<li><a class="anchor" id="ga0c88a5eba39b5a6598ef4e08b494a57f"></a><!-- doxytag: member="ratio::den" ref="ga0c88a5eba39b5a6598ef4e08b494a57f" args="" -->
static constexpr intmax_t <b>std::ratio_multiply::den</b>
<li><a class="anchor" id="ga6e91107145780020ccb40b4417a74eb5"></a><!-- doxytag: member="ratio::num" ref="ga6e91107145780020ccb40b4417a74eb5" args="" -->
static constexpr intmax_t <b>std::ratio_add::num</b>
<li><a class="anchor" id="ga789f5d091ec6558c00e83a858a85a50f"></a><!-- doxytag: member="ratio::num" ref="ga789f5d091ec6558c00e83a858a85a50f" args="" -->
static constexpr intmax_t <b>std::ratio_multiply::num</b>
<li><a class="anchor" id="gac2dc623161a14481407fa34d8c469e45"></a><!-- doxytag: member="ratio::num" ref="gac2dc623161a14481407fa34d8c469e45" args="" -->
static constexpr intmax_t <b>std::ratio::num</b>
<li><a class="anchor" id="ga236cdd12874e793afb2d26a6dd97eba7"></a><!-- doxytag: member="ratio::num" ref="ga236cdd12874e793afb2d26a6dd97eba7" args="" -->
static constexpr intmax_t <b>std::ratio_divide::num</b>
<li><a class="anchor" id="ga7269dee63c5b56a367a4c12f90a8c3b8"></a><!-- doxytag: member="ratio::value" ref="ga7269dee63c5b56a367a4c12f90a8c3b8" args="" -->
static const intmax_t <b>std::__safe_add::value</b>
<li><a class="anchor" id="gadbc0d08c7c45203c813a708c513ae6a0"></a><!-- doxytag: member="ratio::value" ref="gadbc0d08c7c45203c813a708c513ae6a0" args="" -->
static const intmax_t <b>std::__safe_multiply::value</b>
</ul>
<hr/><a name="details" id="details"></a><h2>Detailed Description</h2>
<p>Compile time representation of finite rational numbers. </p>
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