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<div class="section" id="is-permutation">
<h1>is_permutation<a class="headerlink" href="#is-permutation" title="Permalink to this headline"></a></h1>
<div class="section" id="interface">
<h2>Interface<a class="headerlink" href="#interface" title="Permalink to this headline"></a></h2>
<div class="highlight-c++"><div class="highlight"><pre><span class="k">template</span><span class="o">&lt;</span><span class="k">typename</span> <span class="n">ForwardIterator1</span><span class="p">,</span> <span class="k">typename</span> <span class="n">ForwardIterator2</span><span class="p">,</span> <span class="k">typename</span> <span class="n">BinaryPredicate</span><span class="o">&gt;</span>
<span class="kr">inline</span> <span class="n">SPROUT_CONSTEXPR</span> <span class="kt">bool</span>
<span class="n">is_permutation</span><span class="p">(</span><span class="n">ForwardIterator1</span> <span class="n">first1</span><span class="p">,</span> <span class="n">ForwardIterator1</span> <span class="n">last1</span><span class="p">,</span> <span class="n">ForwardIterator2</span> <span class="n">first2</span><span class="p">,</span> <span class="n">BinaryPredicate</span> <span class="n">pred</span><span class="p">);</span>
<span class="k">template</span><span class="o">&lt;</span><span class="k">typename</span> <span class="n">ForwardIterator1</span><span class="p">,</span> <span class="k">typename</span> <span class="n">ForwardIterator2</span><span class="o">&gt;</span>
<span class="kr">inline</span> <span class="n">SPROUT_CONSTEXPR</span> <span class="kt">bool</span>
<span class="n">is_permutation</span><span class="p">(</span><span class="n">ForwardIterator1</span> <span class="n">first1</span><span class="p">,</span> <span class="n">ForwardIterator1</span> <span class="n">last1</span><span class="p">,</span> <span class="n">ForwardIterator2</span> <span class="n">first2</span><span class="p">);</span>
<span class="k">template</span><span class="o">&lt;</span><span class="k">typename</span> <span class="n">ForwardIterator1</span><span class="p">,</span> <span class="k">typename</span> <span class="n">ForwardIterator2</span><span class="p">,</span> <span class="k">typename</span> <span class="n">BinaryPredicate</span><span class="o">&gt;</span>
<span class="kr">inline</span> <span class="n">SPROUT_CONSTEXPR</span> <span class="kt">bool</span>
<span class="n">is_permutation</span><span class="p">(</span><span class="n">ForwardIterator1</span> <span class="n">first1</span><span class="p">,</span> <span class="n">ForwardIterator1</span> <span class="n">last1</span><span class="p">,</span> <span class="n">ForwardIterator2</span> <span class="n">first2</span><span class="p">,</span> <span class="n">ForwardIterator2</span> <span class="n">last2</span><span class="p">,</span> <span class="n">BinaryPredicate</span> <span class="n">pred</span><span class="p">);</span>
<span class="k">template</span><span class="o">&lt;</span><span class="k">typename</span> <span class="n">ForwardIterator1</span><span class="p">,</span> <span class="k">typename</span> <span class="n">ForwardIterator2</span><span class="o">&gt;</span>
<span class="kr">inline</span> <span class="n">SPROUT_CONSTEXPR</span> <span class="kt">bool</span>
<span class="n">is_permutation</span><span class="p">(</span><span class="n">ForwardIterator1</span> <span class="n">first1</span><span class="p">,</span> <span class="n">ForwardIterator1</span> <span class="n">last1</span><span class="p">,</span> <span class="n">ForwardIterator2</span> <span class="n">first2</span><span class="p">,</span> <span class="n">ForwardIterator2</span> <span class="n">last2</span><span class="p">)</span> <span class="p">{</span>
</pre></div>
</div>
</div>
<div class="section" id="remarks">
<h2>Remarks<a class="headerlink" href="#remarks" title="Permalink to this headline"></a></h2>
<div class="line-block">
<div class="line">If last2 was not given in the argument list, it denotes <tt class="docutils literal"><span class="pre">first2</span> <span class="pre">+</span> <span class="pre">(last1</span> <span class="pre">-</span> <span class="pre">first1)</span></tt> below.</div>
</div>
</div>
<div class="section" id="returns">
<h2>Returns<a class="headerlink" href="#returns" title="Permalink to this headline"></a></h2>
<div class="line-block">
<div class="line">If <tt class="docutils literal"><span class="pre">last1</span> <span class="pre">-</span> <span class="pre">first1</span> <span class="pre">!=</span> <span class="pre">last2</span> <span class="pre">-</span> <span class="pre">first2</span></tt>, return false.</div>
<div class="line">Otherwise return true if there exists a permutation of the elements in the range [first2,first2 + (last1 - first1)), beginning with ForwardIterator2 begin, such that <tt class="docutils literal"><span class="pre">equal(first1,</span> <span class="pre">last1,</span> <span class="pre">begin)</span></tt> returns true or <tt class="docutils literal"><span class="pre">equal(first1,</span> <span class="pre">last1,</span> <span class="pre">begin,</span> <span class="pre">pred)</span></tt> returns true; otherwise, returns false.</div>
</div>
</div>
<div class="section" id="examples">
<h2>Examples<a class="headerlink" href="#examples" title="Permalink to this headline"></a></h2>
<div class="highlight-c++"><div class="highlight"><pre><span class="cp">#include &lt;sprout/algorithm/is_permutation.hpp&gt;</span>
<span class="cp">#include &lt;sprout/array.hpp&gt;</span>
<span class="cp">#include &lt;sprout/container.hpp&gt;</span>
<span class="k">using</span> <span class="k">namespace</span> <span class="n">sprout</span><span class="p">;</span>
<span class="n">SPROUT_STATIC_CONSTEXPR</span> <span class="k">auto</span> <span class="n">input1</span> <span class="o">=</span> <span class="n">array</span><span class="o">&lt;</span><span class="kt">int</span><span class="p">,</span> <span class="mi">10</span><span class="o">&gt;</span><span class="p">{{</span><span class="mi">1</span><span class="p">,</span> <span class="mi">2</span><span class="p">,</span> <span class="mi">3</span><span class="p">,</span> <span class="mi">4</span><span class="p">,</span> <span class="mi">5</span><span class="p">,</span> <span class="mi">6</span><span class="p">,</span> <span class="mi">7</span><span class="p">,</span> <span class="mi">8</span><span class="p">,</span> <span class="mi">9</span><span class="p">,</span> <span class="mi">10</span><span class="p">}};</span>
<span class="n">SPROUT_STATIC_CONSTEXPR</span> <span class="k">auto</span> <span class="n">input2</span> <span class="o">=</span> <span class="n">array</span><span class="o">&lt;</span><span class="kt">int</span><span class="p">,</span> <span class="mi">10</span><span class="o">&gt;</span><span class="p">{{</span><span class="mi">10</span><span class="p">,</span> <span class="mi">9</span><span class="p">,</span> <span class="mi">8</span><span class="p">,</span> <span class="mi">1</span><span class="p">,</span> <span class="mi">2</span><span class="p">,</span> <span class="mi">3</span><span class="p">,</span> <span class="mi">4</span><span class="p">,</span> <span class="mi">5</span><span class="p">,</span> <span class="mi">6</span><span class="p">,</span> <span class="mi">7</span><span class="p">}};</span>
<span class="n">SPROUT_STATIC_CONSTEXPR</span> <span class="k">auto</span> <span class="n">result</span> <span class="o">=</span> <span class="n">sprout</span><span class="o">::</span><span class="n">is_permutation</span><span class="p">(</span><span class="n">begin</span><span class="p">(</span><span class="n">input1</span><span class="p">),</span> <span class="n">end</span><span class="p">(</span><span class="n">input1</span><span class="p">),</span> <span class="n">begin</span><span class="p">(</span><span class="n">input2</span><span class="p">),</span> <span class="n">end</span><span class="p">(</span><span class="n">input2</span><span class="p">));</span>
<span class="n">static_assert</span><span class="p">(</span><span class="n">result</span><span class="p">,</span> <span class="s">&quot;input2 is a permutation of input1.&quot;</span><span class="p">);</span>
</pre></div>
</div>
</div>
<div class="section" id="complexity">
<h2>Complexity<a class="headerlink" href="#complexity" title="Permalink to this headline"></a></h2>
<div class="line-block">
<div class="line">No applications of the corresponding predicate if ForwardIterator1 and ForwardIterator2 meet the requirements of random access iterators and <tt class="docutils literal"><span class="pre">last1</span> <span class="pre">-</span> <span class="pre">first1</span> <span class="pre">!=</span> <span class="pre">last2</span> <span class="pre">-</span> <span class="pre">first2</span></tt>.</div>
<div class="line">Otherwise, exactly distance(first1, last1) applications of the corresponding predicate if <tt class="docutils literal"><span class="pre">equal(first1,</span> <span class="pre">last1,</span> <span class="pre">first2,</span> <span class="pre">last2)</span></tt> would return true if pred was not given in the argument list or <tt class="docutils literal"><span class="pre">equal(first1,</span> <span class="pre">last1,</span> <span class="pre">first2,</span> <span class="pre">last2,</span> <span class="pre">pred)</span></tt> would return true if pred was given in the argument list; otherwise, at worst O(N^2), where N has the value <tt class="docutils literal"><span class="pre">distance(first1,</span> <span class="pre">last1)</span></tt>.</div>
<div class="line">Recursive function invocations in <em>O(logN)</em> (logarithmic) depth.</div>
</div>
</div>
<div class="section" id="header">
<h2>Header<a class="headerlink" href="#header" title="Permalink to this headline"></a></h2>
<div class="line-block">
<div class="line"><tt class="docutils literal"><span class="pre">sprout/algorithm/is_permutation.hpp</span></tt></div>
<div class="line">Convenience header: <tt class="docutils literal"><span class="pre">sprout/algorithm.hpp</span></tt></div>
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<h3><a href="../../../index.html">Table Of Contents</a></h3>
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<li><a class="reference external" href="#">is_permutation</a><ul>
<li><a class="reference external" href="#interface">Interface</a></li>
<li><a class="reference external" href="#remarks">Remarks</a></li>
<li><a class="reference external" href="#returns">Returns</a></li>
<li><a class="reference external" href="#examples">Examples</a></li>
<li><a class="reference external" href="#complexity">Complexity</a></li>
<li><a class="reference external" href="#header">Header</a></li>
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