234 lines
15 KiB
HTML
234 lines
15 KiB
HTML
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<title>数学特殊函数</title>
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<body class="mediawiki ltr sitedir-ltr ns-0 ns-subject page-cpp_experimental_special_functions skin-cppreference2 action-view cpp-navbar">
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<h1 id="firstHeading" class="firstHeading">数学特殊函数</h1>
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<div id="contentSub"><span class="subpages">< <a href="cpp.html">cpp</a>‎ | <a href="cpp-experimental.html">experimental</a></span></div>
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<div id="mw-content-text" lang="zh" dir="ltr" class="mw-content-ltr" xml:lang="zh">
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<p>数学特殊函数库 (The Mathematical Special Functions library) ， ISO/IEC 29124:2010 ，指定对于 C++ 标准库的扩展，它包含数学特殊函数（原为 ISO/IEC TR 19768:2007 的一部分）。</p>
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<p>此库中的特殊函数实现于 <a rel="nofollow" class="external text" href="http://www.boost.org/doc/libs/release/libs/math/doc/html/special.html">boost.math</a> ，当前可用它们的编译器和平台多于可用此标准的实现者。在写此内容时，宣称直接支持的编译器唯有 gcc ，版本 6.1 。</p>
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<h3><span class="mw-headline" id=".E5.87.BD.E6.95.B0">函数</span></h3>
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<div>定义于头文件 <code><a href="cpp-header-cmath.html"><cmath></a></code></div>
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<div><a href="https://zh.cppreference.com/mwiki/index.php?title=cpp/experimental/special_functions/assoc_laguerre&action=edit&redlink=1" class="new" title="cpp/experimental/special functions/assoc laguerre（页面不存在）"><span class="t-lines"><span>assoc_laguerre</span><span>assoc_laguerref</span><span>assoc_laguerrel</span></span></a></div>
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</div>
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</td>
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<td>关联拉盖尔多项式<br />
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<span class="t-mark">(函数)</span></td>
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<tr class="t-dsc">
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<td>
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<div><a href="https://zh.cppreference.com/mwiki/index.php?title=cpp/experimental/special_functions/assoc_legendre&action=edit&redlink=1" class="new" title="cpp/experimental/special functions/assoc legendre（页面不存在）"><span class="t-lines"><span>assoc_legendre</span><span>assoc_legendref</span><span>assoc_legendrel</span></span></a></div>
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</div>
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</td>
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<td>关联勒让德多项式<br />
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<span class="t-mark">(函数)</span></td>
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<tr class="t-dsc">
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<td>
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<div><a href="https://zh.cppreference.com/mwiki/index.php?title=cpp/experimental/special_functions/beta&action=edit&redlink=1" class="new" title="cpp/experimental/special functions/beta（页面不存在）"><span class="t-lines"><span>beta</span><span>betaf</span><span>betal</span></span></a></div>
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</div>
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</td>
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<td>beta 函数<br />
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<span class="t-mark">(函数)</span></td>
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<td>
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<div><a href="https://zh.cppreference.com/mwiki/index.php?title=cpp/experimental/special_functions/comp_ellint_1&action=edit&redlink=1" class="new" title="cpp/experimental/special functions/comp ellint 1（页面不存在）"><span class="t-lines"><span>comp_ellint_1</span><span>comp_ellint_1f</span><span>comp_ellint_1l</span></span></a></div>
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</div>
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</td>
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<td>第一类完全椭圆积分<br />
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<span class="t-mark">(函数)</span></td>
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<div><a href="https://zh.cppreference.com/mwiki/index.php?title=cpp/experimental/special_functions/comp_ellint_2&action=edit&redlink=1" class="new" title="cpp/experimental/special functions/comp ellint 2（页面不存在）"><span class="t-lines"><span>comp_ellint_2</span><span>comp_ellint_2f</span><span>comp_ellint_2l</span></span></a></div>
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</div>
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</td>
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<td>第二类完全椭圆积分<br />
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<span class="t-mark">(函数)</span></td>
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<div><a href="https://zh.cppreference.com/mwiki/index.php?title=cpp/experimental/special_functions/comp_ellint_3&action=edit&redlink=1" class="new" title="cpp/experimental/special functions/comp ellint 3（页面不存在）"><span class="t-lines"><span>comp_ellint_3</span><span>comp_ellint_3f</span><span>comp_ellint_3l</span></span></a></div>
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</div>
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</td>
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<td>第三类完全椭圆积分<br />
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<span class="t-mark">(函数)</span></td>
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<tr class="t-dsc">
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<div class="t-dsc-member-div">
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<div><a href="https://zh.cppreference.com/mwiki/index.php?title=cpp/experimental/special_functions/cyl_bessel_i&action=edit&redlink=1" class="new" title="cpp/experimental/special functions/cyl bessel i（页面不存在）"><span class="t-lines"><span>cyl_bessel_i</span><span>cyl_bessel_if</span><span>cyl_bessel_il</span></span></a></div>
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</div>
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</td>
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<td>常规修正柱贝塞尔函数<br />
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<span class="t-mark">(函数)</span></td>
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<div><a href="https://zh.cppreference.com/mwiki/index.php?title=cpp/experimental/special_functions/cyl_bessel_j&action=edit&redlink=1" class="new" title="cpp/experimental/special functions/cyl bessel j（页面不存在）"><span class="t-lines"><span>cyl_bessel_j</span><span>cyl_bessel_jf</span><span>cyl_bessel_jl</span></span></a></div>
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</div>
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</td>
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<td>第一类柱贝塞尔函数<br />
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<span class="t-mark">(函数)</span></td>
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<div><a href="https://zh.cppreference.com/mwiki/index.php?title=cpp/experimental/special_functions/cyl_bessel_k&action=edit&redlink=1" class="new" title="cpp/experimental/special functions/cyl bessel k（页面不存在）"><span class="t-lines"><span>cyl_bessel_k</span><span>cyl_bessel_kf</span><span>cyl_bessel_kl</span></span></a></div>
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</div>
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</td>
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<td>非常规修正柱贝塞尔函数<br />
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<span class="t-mark">(函数)</span></td>
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<div><a href="https://zh.cppreference.com/mwiki/index.php?title=cpp/experimental/special_functions/cyl_neumann&action=edit&redlink=1" class="new" title="cpp/experimental/special functions/cyl neumann（页面不存在）"><span class="t-lines"><span>cyl_neumann</span><span>cyl_neumannf</span><span>cyl_neumannl</span></span></a></div>
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</div>
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</td>
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<td>柱诺依曼函数<br />
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<span class="t-mark">(函数)</span></td>
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<div><a href="https://zh.cppreference.com/mwiki/index.php?title=cpp/experimental/special_functions/ellint_1&action=edit&redlink=1" class="new" title="cpp/experimental/special functions/ellint 1（页面不存在）"><span class="t-lines"><span>ellint_1</span><span>ellint_1f</span><span>ellint_1l</span></span></a></div>
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</div>
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</td>
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<td>第一类不完全椭圆积分<br />
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<span class="t-mark">(函数)</span></td>
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<div><a href="https://zh.cppreference.com/mwiki/index.php?title=cpp/experimental/special_functions/ellint_2&action=edit&redlink=1" class="new" title="cpp/experimental/special functions/ellint 2（页面不存在）"><span class="t-lines"><span>ellint_2</span><span>ellint_2f</span><span>ellint_2l</span></span></a></div>
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</div>
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</td>
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<td>第二类不完全椭圆积分<br />
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<span class="t-mark">(函数)</span></td>
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<div><a href="https://zh.cppreference.com/mwiki/index.php?title=cpp/experimental/special_functions/ellint_3&action=edit&redlink=1" class="new" title="cpp/experimental/special functions/ellint 3（页面不存在）"><span class="t-lines"><span>ellint_3</span><span>ellint_3f</span><span>ellint_3l</span></span></a></div>
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</div>
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</td>
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<td>第三类不完全椭圆积分<br />
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<span class="t-mark">(函数)</span></td>
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<div><a href="https://zh.cppreference.com/mwiki/index.php?title=cpp/experimental/special_functions/expint&action=edit&redlink=1" class="new" title="cpp/experimental/special functions/expint（页面不存在）"><span class="t-lines"><span>expint</span><span>expintf</span><span>expintl</span></span></a></div>
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</div>
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</td>
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<td>指数积分<br />
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<span class="t-mark">(函数)</span></td>
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<div class="t-dsc-member-div">
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<div><a href="https://zh.cppreference.com/mwiki/index.php?title=cpp/experimental/special_functions/hermite&action=edit&redlink=1" class="new" title="cpp/experimental/special functions/hermite（页面不存在）"><span class="t-lines"><span>hermite</span><span>hermitef</span><span>hermitel</span></span></a></div>
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</div>
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</td>
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<td>埃尔米特多项式<br />
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<span class="t-mark">(函数)</span></td>
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<td>
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<div class="t-dsc-member-div">
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<div><a href="https://zh.cppreference.com/mwiki/index.php?title=cpp/experimental/special_functions/legendre&action=edit&redlink=1" class="new" title="cpp/experimental/special functions/legendre（页面不存在）"><span class="t-lines"><span>legendre</span><span>legendref</span><span>legendrel</span></span></a></div>
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</div>
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</td>
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<td>勒让德多项式<br />
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<span class="t-mark">(函数)</span></td>
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</tr>
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<td>
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<div class="t-dsc-member-div">
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<div><a href="https://zh.cppreference.com/mwiki/index.php?title=cpp/experimental/special_functions/laguerre&action=edit&redlink=1" class="new" title="cpp/experimental/special functions/laguerre（页面不存在）"><span class="t-lines"><span>laguerre</span><span>laguerref</span><span>laguerrel</span></span></a></div>
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</div>
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</td>
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<td>拉盖尔多项式<br />
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<span class="t-mark">(函数)</span></td>
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<tr class="t-dsc">
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<div class="t-dsc-member-div">
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<div><a href="https://zh.cppreference.com/mwiki/index.php?title=cpp/experimental/special_functions/riemann_zeta&action=edit&redlink=1" class="new" title="cpp/experimental/special functions/riemann zeta（页面不存在）"><span class="t-lines"><span>riemann_zeta</span><span>riemann_zetaf</span><span>riemann_zetal</span></span></a></div>
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</div>
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</td>
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<td>黎曼 zeta 函数<br />
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<span class="t-mark">(函数)</span></td>
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</tr>
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<tr class="t-dsc">
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<div class="t-dsc-member-div">
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<div><a href="https://zh.cppreference.com/mwiki/index.php?title=cpp/experimental/special_functions/sph_bessel&action=edit&redlink=1" class="new" title="cpp/experimental/special functions/sph bessel（页面不存在）"><span class="t-lines"><span>sph_bessel</span><span>sph_besself</span><span>sph_bessell</span></span></a></div>
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</div>
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</td>
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<td>第一类球贝塞尔函数<br />
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<span class="t-mark">(函数)</span></td>
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<tr class="t-dsc">
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<div class="t-dsc-member-div">
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<div><a href="https://zh.cppreference.com/mwiki/index.php?title=cpp/experimental/special_functions/sph_legendre&action=edit&redlink=1" class="new" title="cpp/experimental/special functions/sph legendre（页面不存在）"><span class="t-lines"><span>sph_legendre</span><span>sph_legendref</span><span>sph_legendrel</span></span></a></div>
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</div>
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</td>
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<td>球关联勒让德函数<br />
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<span class="t-mark">(函数)</span></td>
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</tr>
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<tr class="t-dsc">
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<div class="t-dsc-member-div">
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<div><a href="https://zh.cppreference.com/mwiki/index.php?title=cpp/experimental/special_functions/sph_neumann&action=edit&redlink=1" class="new" title="cpp/experimental/special functions/sph neumann（页面不存在）"><span class="t-lines"><span>sph_neumann</span><span>sph_neumannf</span><span>sph_neumannl</span></span></a></div>
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</div>
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</td>
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<td>球诺依曼函数<br />
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<span class="t-mark">(函数)</span></td>
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</tr>
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</table>
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<h3><span class="mw-headline" id=".E5.AE.8F">宏</span></h3>
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<div><span class="t-lines"><span>__STDCPP_MATH_SPEC_FUNCS__</span></span></div>
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<td>至少为 <span class="t-c"><span class="mw-geshi cpp source-cpp"><span class="nu0">201003L</span></span></span> 的值，指示支持 ISO/IEC 29124:2010<br />
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<span class="t-mark">(宏常量)</span></td>
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</table>
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<div class="visualClear"></div>
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