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<div class="titlepage"><div><div><h3 class="title">
<a name="boost_multiprecision.tut.hash"></a><a class="link" href="hash.html" title="Hash Function Support">Hash Function Support</a>
</h3></div></div></div>
<p>
        All of the types in this library support hashing via boost::hash or std::hash.
        That means we can use multiprecision types directly in hashed containers
        such as std::unordered_set:
      </p>
<pre class="programlisting"><span class="keyword">using</span> <span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">multiprecision</span><span class="special">;</span>
<span class="keyword">using</span> <span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">random</span><span class="special">;</span>

<span class="identifier">mt19937</span> <span class="identifier">mt</span><span class="special">;</span>
<span class="identifier">uniform_int_distribution</span><span class="special">&lt;</span><span class="identifier">uint256_t</span><span class="special">&gt;</span> <span class="identifier">ui</span><span class="special">;</span>

<span class="identifier">std</span><span class="special">::</span><span class="identifier">unordered_set</span><span class="special">&lt;</span><span class="identifier">uint256_t</span><span class="special">&gt;</span> <span class="identifier">set</span><span class="special">;</span>
<span class="comment">// Put 1000 random values into the container:</span>
<span class="keyword">for</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">i</span> <span class="special">=</span> <span class="number">0</span><span class="special">;</span> <span class="identifier">i</span> <span class="special">&lt;</span> <span class="number">1000</span><span class="special">;</span> <span class="special">++</span><span class="identifier">i</span><span class="special">)</span>
   <span class="identifier">set</span><span class="special">.</span><span class="identifier">insert</span><span class="special">(</span><span class="identifier">ui</span><span class="special">(</span><span class="identifier">mt</span><span class="special">));</span>
</pre>
<p>
        Or we can define our own hash function, for example in this case based on
        Google's CityHash:
      </p>
<pre class="programlisting"><span class="keyword">struct</span> <span class="identifier">cityhash</span>
<span class="special">{</span>
   <span class="identifier">std</span><span class="special">::</span><span class="identifier">size_t</span> <span class="keyword">operator</span><span class="special">()(</span><span class="keyword">const</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">multiprecision</span><span class="special">::</span><span class="identifier">uint256_t</span><span class="special">&amp;</span> <span class="identifier">val</span><span class="special">)</span><span class="keyword">const</span>
   <span class="special">{</span>
      <span class="comment">// create a hash from all the limbs of the argument, this function is probably x64 specific,</span>
      <span class="comment">// and requires that we access the internals of the data type:</span>
      <span class="identifier">std</span><span class="special">::</span><span class="identifier">size_t</span> <span class="identifier">result</span> <span class="special">=</span> <span class="identifier">CityHash64</span><span class="special">(</span><span class="keyword">reinterpret_cast</span><span class="special">&lt;</span><span class="keyword">const</span> <span class="keyword">char</span><span class="special">*&gt;(</span><span class="identifier">val</span><span class="special">.</span><span class="identifier">backend</span><span class="special">().</span><span class="identifier">limbs</span><span class="special">()),</span> <span class="identifier">val</span><span class="special">.</span><span class="identifier">backend</span><span class="special">().</span><span class="identifier">size</span><span class="special">()</span> <span class="special">*</span> <span class="keyword">sizeof</span><span class="special">(</span><span class="identifier">val</span><span class="special">.</span><span class="identifier">backend</span><span class="special">().</span><span class="identifier">limbs</span><span class="special">()[</span><span class="number">0</span><span class="special">]));</span>
      <span class="comment">// modify the returned hash based on sign:</span>
      <span class="keyword">return</span> <span class="identifier">val</span> <span class="special">&lt;</span> <span class="number">0</span> <span class="special">?</span> <span class="special">~</span><span class="identifier">result</span> <span class="special">:</span> <span class="identifier">result</span><span class="special">;</span>
   <span class="special">}</span>
<span class="special">};</span>
</pre>
<p>
        As before insert some values into a container, this time using our custom
        hasher:
      </p>
<pre class="programlisting"><span class="identifier">std</span><span class="special">::</span><span class="identifier">unordered_set</span><span class="special">&lt;</span><span class="identifier">uint256_t</span><span class="special">,</span> <span class="identifier">cityhash</span><span class="special">&gt;</span> <span class="identifier">set2</span><span class="special">;</span>
<span class="keyword">for</span><span class="special">(</span><span class="keyword">unsigned</span> <span class="identifier">i</span> <span class="special">=</span> <span class="number">0</span><span class="special">;</span> <span class="identifier">i</span> <span class="special">&lt;</span> <span class="number">1000</span><span class="special">;</span> <span class="special">++</span><span class="identifier">i</span><span class="special">)</span>
   <span class="identifier">set2</span><span class="special">.</span><span class="identifier">insert</span><span class="special">(</span><span class="identifier">ui</span><span class="special">(</span><span class="identifier">mt</span><span class="special">));</span>
</pre>
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        Distributed under the Boost Software License, Version 1.0. (See accompanying
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