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<div class="headertitle"><div class="title">binary_insertion_sort.cpp File Reference</div></div>
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<p><a href="../../d8/dcc/binary__insertion__sort_8cpp_source.html">Go to the source code of this file.</a></p>
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Namespaces</h2></td></tr>
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<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">namespace  </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d5/d91/namespacesorting.html">sorting</a></td></tr>
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<tr class="memitem:sorting" id="r_sorting"><td class="memItemLeft" align="right" valign="top">namespace  </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d5/d91/namespacesorting.html">sorting</a></td></tr>
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<tr class="memdesc:d5/d91/namespacesorting"><td class="mdescLeft"> </td><td class="mdescRight">for working with vectors <br /></td></tr>
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Functions</h2></td></tr>
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<tr class="memitem:a034d8b276518a902962e87d3158b64fd" id="r_a034d8b276518a902962e87d3158b64fd"><td class="memTemplParams" colspan="2">template<class T> </td></tr>
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<tr class="memitem:a034d8b276518a902962e87d3158b64fd"><td class="memTemplItemLeft" align="right" valign="top">int64_t </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="../../d5/d91/namespacesorting.html#a034d8b276518a902962e87d3158b64fd">sorting::binary_search</a> (std::vector< T > &arr, T val, int64_t low, int64_t high)</td></tr>
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<tr class="memitem:a034d8b276518a902962e87d3158b64fd template"><td class="memItemLeft" align="right" valign="top">int64_t </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d5/d91/namespacesorting.html#a034d8b276518a902962e87d3158b64fd">sorting::binary_search</a> (std::vector< T > &arr, T val, int64_t low, int64_t high)</td></tr>
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<tr class="memdesc:a034d8b276518a902962e87d3158b64fd"><td class="mdescLeft"> </td><td class="mdescRight">Binary search function to find the most suitable pace for an element. <br /></td></tr>
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<tr class="memitem:a5f4bc75cca6dd8294af2d0e328006c68"><td class="memTemplItemLeft" align="right" valign="top">void </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="../../d5/d91/namespacesorting.html#a5f4bc75cca6dd8294af2d0e328006c68">sorting::insertionSort_binsrch</a> (std::vector< T > &arr)</td></tr>
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<tr class="memitem:a5f4bc75cca6dd8294af2d0e328006c68 template"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d5/d91/namespacesorting.html#a5f4bc75cca6dd8294af2d0e328006c68">sorting::insertionSort_binsrch</a> (std::vector< T > &arr)</td></tr>
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<tr class="memdesc:a5f4bc75cca6dd8294af2d0e328006c68"><td class="mdescLeft"> </td><td class="mdescRight">Insertion sort function to sort the vector. <br /></td></tr>
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<tr class="memdesc:aa8dca7b867074164d5f45b0f3851269d"><td class="mdescLeft"> </td><td class="mdescRight">Self-test implementations. <br /></td></tr>
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<tr class="memdesc:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="mdescLeft"> </td><td class="mdescRight">Main function. <br /></td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
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<a name="details" id="details"></a><h2 id="header-details" class="groupheader">Detailed Description</h2>
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<div class="textblock"><p><a href="https://en.wikipedia.org/wiki/Insertion_sort" target="_blank">Binary Insertion Sort Algorithm (Insertion Sort)</a> </p>
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<p>If the cost of comparisons exceeds the cost of swaps, as is the case for example with string keys stored by reference or with human interaction (such as choosing one of a pair displayed side-by-side), then using binary insertion sort may yield better performance. Binary insertion sort employs a binary search to determine the correct location to insert new elements, and therefore performs ⌈log2 n⌉ comparisons in the worst case. When each element in the array is searched for and inserted this is O(n log n). The algorithm as a whole still has a running time of O(n2) on average because of the series</p><ul>
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<li>of swaps required for each insertion. However it has several advantages such as</li>
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<p class="definition">Definition in file <a class="el" href="../../d8/dcc/binary__insertion__sort_8cpp_source.html">binary_insertion_sort.cpp</a>.</p>
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</div><h2 class="groupheader">Function Documentation</h2>
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</div><a name="doc-func-members" id="doc-func-members"></a><h2 id="header-doc-func-members" class="groupheader">Function Documentation</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#ae66f6b31b5ad750f1fe042a706a4e3d4">◆ </a></span>main()</h2>
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<td class="memname">static void test </td>
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<td class="memname">void test </td>
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<td>(</td>
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