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最終更新日時(UTC):
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2023年02月16日 08時55分10秒
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<span itemprop="author" itemscope itemtype="http://schema.org/Person">
<span itemprop="name">Akira Takahashi</span>
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が更新
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<div class="identifier-type">function</div><div class="header"><cmath></div><h1 itemprop="name"><span class="namespace" title="namespace std">std::</span><span class="token">fmod</span></h1>
<div itemprop="articleBody"><p><div class="codehilite"><pre><span></span><code><span class="k">namespace</span><span class="w"> </span><span class="nn">std</span><span class="w"> </span><span class="p">{</span>
<span class="w"> </span><span class="kt">float</span><span class="w"> </span><span class="nf">fmod</span><span class="p">(</span><span class="kt">float</span><span class="w"> </span><span class="n">x</span><span class="p">,</span><span class="w"> </span><span class="kt">float</span><span class="w"> </span><span class="n">y</span><span class="p">);</span><span class="w"> </span><span class="c1">// (1) C++03からC++20まで</span>
<span class="w"> </span><span class="kt">double</span><span class="w"> </span><span class="nf">fmod</span><span class="p">(</span><span class="kt">double</span><span class="w"> </span><span class="n">x</span><span class="p">,</span><span class="w"> </span><span class="kt">double</span><span class="w"> </span><span class="n">y</span><span class="p">);</span><span class="w"> </span><span class="c1">// (2) C++03からC++20まで</span>
<span class="w"> </span><span class="kt">long</span><span class="w"> </span><span class="kt">double</span><span class="w"> </span><span class="nf">fmod</span><span class="p">(</span><span class="kt">long</span><span class="w"> </span><span class="kt">double</span><span class="w"> </span><span class="n">x</span><span class="p">,</span>
<span class="w"> </span><span class="kt">long</span><span class="w"> </span><span class="kt">double</span><span class="w"> </span><span class="n">y</span><span class="p">);</span><span class="w"> </span><span class="c1">// (3) C++03からC++20まで</span>
<span class="w"> </span><span class="k">constexpr</span><span class="w"> </span><span class="n"><i>floating-point-type</i></span>
<span class="w"> </span><span class="nf">fmod</span><span class="p">(</span><span class="n"><i>floating-point-type</i></span><span class="w"> </span><span class="n">x</span><span class="p">,</span>
<span class="w"> </span><span class="n"><i>floating-point-type</i></span><span class="w"> </span><span class="n">y</span><span class="p">);</span><span class="w"> </span><span class="c1">// (4) C++23</span>
<span class="w"> </span><span class="n"><i>Integral</i></span>
<span class="w"> </span><span class="nf">fmod</span><span class="p">(</span><span class="n"><i>Integral</i></span><span class="w"> </span><span class="n">x</span><span class="p">,</span><span class="w"> </span><span class="n"><i>Integral</i></span><span class="w"> </span><span class="n">y</span><span class="p">);</span><span class="w"> </span><span class="c1">// (5) C++11</span>
<span class="w"> </span><span class="k">constexpr</span><span class="w"> </span><span class="n"><i>Integral</i></span>
<span class="w"> </span><span class="nf">fmod</span><span class="p">(</span><span class="n"><i>Integral</i></span><span class="w"> </span><span class="n">x</span><span class="p">,</span><span class="w"> </span><span class="n"><i>Integral</i></span><span class="w"> </span><span class="n">y</span><span class="p">);</span><span class="w"> </span><span class="c1">// (5) C++23</span>
<span class="w"> </span><span class="kt">float</span>
<span class="w"> </span><span class="nf">fmodf</span><span class="p">(</span><span class="kt">float</span><span class="w"> </span><span class="n">x</span><span class="p">,</span><span class="w"> </span><span class="kt">float</span><span class="w"> </span><span class="n">y</span><span class="p">);</span><span class="w"> </span><span class="c1">// (6) C++17</span>
<span class="w"> </span><span class="k">constexpr</span><span class="w"> </span><span class="kt">float</span>
<span class="w"> </span><span class="nf">fmodf</span><span class="p">(</span><span class="kt">float</span><span class="w"> </span><span class="n">x</span><span class="p">,</span><span class="w"> </span><span class="kt">float</span><span class="w"> </span><span class="n">y</span><span class="p">);</span><span class="w"> </span><span class="c1">// (6) C++23</span>
<span class="w"> </span><span class="kt">long</span><span class="w"> </span><span class="kt">double</span>
<span class="w"> </span><span class="nf">fmodl</span><span class="p">(</span><span class="kt">long</span><span class="w"> </span><span class="kt">double</span><span class="w"> </span><span class="n">x</span><span class="p">,</span>
<span class="w"> </span><span class="kt">long</span><span class="w"> </span><span class="kt">double</span><span class="w"> </span><span class="n">y</span><span class="p">);</span><span class="w"> </span><span class="c1">// (7) C++17</span>
<span class="w"> </span><span class="k">constexpr</span><span class="w"> </span><span class="kt">long</span><span class="w"> </span><span class="kt">double</span>
<span class="w"> </span><span class="nf">fmodl</span><span class="p">(</span><span class="kt">long</span><span class="w"> </span><span class="kt">double</span><span class="w"> </span><span class="n">x</span><span class="p">,</span>
<span class="w"> </span><span class="kt">long</span><span class="w"> </span><span class="kt">double</span><span class="w"> </span><span class="n">y</span><span class="p">);</span><span class="w"> </span><span class="c1">// (8) C++17</span>
<span class="p">}</span>
</code></pre></div>
</p>
<h2>概要</h2>
<p>浮動小数点数の剰余を求める。</p>
<p>整数に対する剰余は<code>%</code>演算子で求められるが、浮動小数点数に対しては本関数を使用する必要がある。</p>
<ul>
<li>(1) : <code>float</code>に対する<a class="cpprefjp-defined-word" data-desc="同名の関数を異なる引数・テンプレート・制約などで複数定義すること。または同名の関数の集合">オーバーロード</a></li>
<li>(2) : <code>double</code>に対する<a class="cpprefjp-defined-word" data-desc="同名の関数を異なる引数・テンプレート・制約などで複数定義すること。または同名の関数の集合">オーバーロード</a></li>
<li>(3) : <code>long double</code>に対する<a class="cpprefjp-defined-word" data-desc="同名の関数を異なる引数・テンプレート・制約などで複数定義すること。または同名の関数の集合">オーバーロード</a></li>
<li>(4) : 浮動小数点数型に対する<a class="cpprefjp-defined-word" data-desc="同名の関数を異なる引数・テンプレート・制約などで複数定義すること。または同名の関数の集合">オーバーロード</a></li>
<li>(5) : 整数型に対する<a class="cpprefjp-defined-word" data-desc="同名の関数を異なる引数・テンプレート・制約などで複数定義すること。または同名の関数の集合">オーバーロード</a> (<code>double</code>にキャストして計算される)</li>
<li>(6) : <code>float</code>型規定</li>
<li>(7) : <code>long double</code>型規定</li>
</ul>
<h2><a class="cpprefjp-defined-word" data-desc="関数呼び出し式の評価結果となるオブジェクト・値">戻り値</a></h2>
<p><code>x / y</code>の余りを返す。</p>
<ul>
<li>この関数は、ある整数値を<code>n</code>として、<code>x - ny</code>を<a class="cpprefjp-defined-word" data-desc="関数呼び出し式の評価結果となるオブジェクト・値">戻り値</a>として返す。</li>
<li><code>y</code>が非ゼロである場合、<code>x</code>と同じ符号の、<code>y</code>より小さい値を返す。</li>
<li><code>y</code>がゼロである場合、定義域エラーを発生させるかゼロを返すかは、<a class="cpprefjp-defined-word" data-desc="処理系定義の動作。処理系によって事前に定めた動作をする" href="../../implementation-compliance.html#dfn-implementation-defined-behavior">実装定義</a>となる。</li>
</ul>
<p>定義域エラーが発生した際の挙動については、<code><a href="../cmath.html"><cmath></a></code> を参照。</p>
<h2>備考</h2>
<ul>
<li>本関数は、C99 の規格にある <code>fmod</code>（より正確には <code>math.h</code> ヘッダの <code>fmod</code>、<code>fmodf</code>、<code>fmodl</code> の 3 つ。それぞれ C++ の <code>double</code>、<code>float</code>、<code>long double</code> バージョンに相当）と等価である。</li>
<li>
<p>C++11 以降では、処理系が IEC 60559 に準拠している場合（<code><a href="../limits/numeric_limits.html">std::numeric_limits</a><T>::<a href="../limits/numeric_limits/is_iec559.html">is_iec559</a>() != false</code>）、以下の規定が追加される。</p>
<ul>
<li>非ゼロの<code>y</code>について、<code>x</code>が<code>±0</code>の場合、<code>±0</code>を返す。</li>
<li><code>x</code>が無限大、もしくは<code>y</code>がゼロである場合、NaNを返し、<code><a href="../cfenv/fe_invalid.html">FE_INVALID</a></code> が発生する。</li>
<li><code>x</code>が非無限大で、<code>y</code>が<code>±∞</code>の場合、<code>x</code>を返す。</li>
</ul>
<p>また、<code>double</code> バージョンの本関数は、以下の実装のように振る舞う。</p>
<p><div class="codehilite"><pre><span></span><code><span class="cp">#include</span><span class="w"> </span><span class="cpf"><math.h></span>
<span class="cp">#include</span><span class="w"> </span><span class="cpf"><fenv.h></span>
<span class="cp">#pragma STDC FENV_ACCESS ON</span>
<span class="kt">double</span><span class="w"> </span><span class="nf">fmod</span><span class="p">(</span><span class="kt">double</span><span class="w"> </span><span class="n">x</span><span class="p">,</span><span class="w"> </span><span class="kt">double</span><span class="w"> </span><span class="n">y</span><span class="p">)</span>
<span class="p">{</span>
<span class="w"> </span><span class="kt">double</span><span class="w"> </span><span class="n">result</span><span class="p">;</span>
<span class="w"> </span><span class="n">result</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n"><a href="remainder.html">remainder</a></span><span class="p">(</span><span class="n"><a href="fabs.html">fabs</a></span><span class="p">(</span><span class="n">x</span><span class="p">),</span><span class="w"> </span><span class="p">(</span><span class="n">y</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n"><a href="fabs.html">fabs</a></span><span class="p">(</span><span class="n">y</span><span class="p">)));</span>
<span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="n"><a href="signbit.html">signbit</a></span><span class="p">(</span><span class="n">result</span><span class="p">))</span><span class="w"> </span><span class="n">result</span><span class="w"> </span><span class="o">+=</span><span class="w"> </span><span class="n">y</span><span class="p">;</span>
<span class="w"> </span><span class="k">return</span><span class="w"> </span><span class="n"><a href="copysign.html">copysign</a></span><span class="p">(</span><span class="n">result</span><span class="p">,</span><span class="w"> </span><span class="n">x</span><span class="p">);</span>
<span class="p">}</span>
</code></pre></div>
</p>
</li>
</ul>
<h2>例</h2>
<p><div class="yata" id="c0eb9dcdc74244420e8fdb78dd4ef4efdedfd75a"><div class="codehilite"><pre><span></span><code><span class="cp">#include <a href="../iostream.html"><iostream></a></span>
<span class="cp">#include <a href="../cmath.html"><cmath></a></span>
<span class="kt">void</span><span class="w"> </span><span class="nf">test</span><span class="p">(</span><span class="kt">double</span><span class="w"> </span><span class="n">x</span><span class="p">,</span><span class="w"> </span><span class="kt">double</span><span class="w"> </span><span class="n">y</span><span class="p">)</span>
<span class="p">{</span>
<span class="w"> </span><span class="n"><a href="../iostream/cout.html">std::cout</a></span><span class="w"> </span><span class="o"><<</span><span class="w"> </span><span class="s">"fmod("</span><span class="w"> </span><span class="o"><<</span><span class="w"> </span><span class="n">x</span><span class="w"> </span><span class="o"><<</span><span class="w"> </span><span class="s">", "</span><span class="w"> </span><span class="o"><<</span><span class="w"> </span><span class="n">y</span><span class="w"> </span><span class="o"><<</span><span class="w"> </span><span class="s">") = "</span><span class="w"> </span><span class="o"><<</span><span class="w"> </span><span class="n"><span style="color:#ff0000">std::fmod</span></span><span class="p">(</span><span class="n">x</span><span class="p">,</span><span class="w"> </span><span class="n">y</span><span class="p">)</span><span class="w"> </span><span class="o"><<</span><span class="w"> </span><span class="n"><a href="../ostream/endl.html">std::endl</a></span><span class="p">;</span>
<span class="p">}</span>
<span class="kt">int</span><span class="w"> </span><span class="nf">main</span><span class="p">()</span>
<span class="p">{</span>
<span class="w"> </span><span class="n">test</span><span class="p">(</span><span class="mf">5.0</span><span class="p">,</span><span class="w"> </span><span class="mf">2.0</span><span class="p">);</span>
<span class="w"> </span><span class="n">test</span><span class="p">(</span><span class="mf">6.0</span><span class="p">,</span><span class="w"> </span><span class="mf">4.0</span><span class="p">);</span>
<span class="w"> </span><span class="n">test</span><span class="p">(</span><span class="mf">6.3</span><span class="p">,</span><span class="w"> </span><span class="mf">3.0</span><span class="p">);</span>
<span class="w"> </span><span class="n">test</span><span class="p">(</span><span class="mf">6.3</span><span class="p">,</span><span class="w"> </span><span class="mf">-3.0</span><span class="p">);</span>
<span class="w"> </span><span class="n">test</span><span class="p">(</span><span class="mf">-6.3</span><span class="p">,</span><span class="w"> </span><span class="mf">3.0</span><span class="p">);</span>
<span class="w"> </span><span class="n">test</span><span class="p">(</span><span class="mf">-6.3</span><span class="p">,</span><span class="w"> </span><span class="mf">-3.0</span><span class="p">);</span>
<span class="w"> </span><span class="n">test</span><span class="p">(</span><span class="mf">6.3</span><span class="p">,</span><span class="w"> </span><span class="mf">3.15</span><span class="p">);</span>
<span class="w"> </span><span class="n">test</span><span class="p">(</span><span class="mf">6.0</span><span class="p">,</span><span class="w"> </span><span class="mf">2.0</span><span class="p">);</span>
<span class="p">}</span>
</code></pre></div>
</div></p>
<h3>出力例</h3>
<p><pre><code>fmod(5, 2) = 1
fmod(6, 4) = 2
fmod(6.3, 3) = 0.3
fmod(6.3, -3) = 0.3
fmod(-6.3, 3) = -0.3
fmod(-6.3, -3) = -0.3
fmod(6.3, 3.15) = 0
fmod(6, 2) = 0
</code></pre></p>
<h2>参照</h2>
<ul>
<li><a href="https://www.open-std.org/jtc1/sc22/wg21/docs/papers/2021/p0533r9.pdf" target="_blank">P0533R9 constexpr for <code><cmath></code> and <code><cstdlib></code></a><ul>
<li>C++23での、一部関数の<code>constexpr</code>対応</li>
</ul>
</li>
<li><a href="https://www.open-std.org/jtc1/sc22/wg21/docs/papers/2022/p1467r9.html" target="_blank">P1467R9 Extended floating-point types and standard names</a><ul>
<li>C++23で導入された<a class="cpprefjp-defined-word" data-desc="<stdfloat>で定義される内部表現の規定された浮動小数点数型" href="../stdfloat.html">拡張浮動小数点数型</a>への対応として、<code>float</code>、<code>double</code>、<code>long double</code>の<a class="cpprefjp-defined-word" data-desc="同名の関数を異なる引数・テンプレート・制約などで複数定義すること。または同名の関数の集合">オーバーロード</a>を<code>floating-point-type</code>の<a class="cpprefjp-defined-word" data-desc="同名の関数を異なる引数・テンプレート・制約などで複数定義すること。または同名の関数の集合">オーバーロード</a>に統合し、<a class="cpprefjp-defined-word" data-desc="<stdfloat>で定義される内部表現の規定された浮動小数点数型" href="../stdfloat.html">拡張浮動小数点数型</a>も扱えるようにした</li>
</ul>
</li>
</ul></div>
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