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<p >two elements a[i] and a[j] form an inversion if <code>a[i]</code> &gt; <code>a[j]</code> and i &lt; j</p>
<p >Time Complexity --&gt; <code>O(n.log n)</code></p>
<p >Space Complexity --&gt; <code>O(n)</code> ; additional array <code>temp[1..n]</code> </p>
<h3><a class="anchor" id="autotoc_md96"></a>
<h3><a class="anchor" id="autotoc_md97"></a>
Algorithm</h3>
<ol type="1">
<li>The idea is similar to merge sort, divide the array into two equal or almost equal halves in each step until the base case is reached.</li>

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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p >An implementation of <a href="https://en.wikipedia.org/wiki/Cache_replacement_policies#Least_recently_used_(LRU)" target="_blank">LRU Cache</a>. Lru is a part of cache algorithms (also frequently called cache replacement algorithms or cache replacement policies). </p>
<h3><a class="anchor" id="autotoc_md85"></a>
<h3><a class="anchor" id="autotoc_md86"></a>
Logic</h3>
<ul>
<li>Discards the least recently used items first.</li>
@@ -158,7 +158,7 @@ Logic</h3>
<li>General implementations of this technique require keeping "age bits" for cache-lines and track the "Least Recently Used" cache-line based on age-bits.</li>
<li>In such an implementation, every time a cache-line is used, the age of all other cache-lines changes</li>
</ul>
<h3><a class="anchor" id="autotoc_md86"></a>
<h3><a class="anchor" id="autotoc_md87"></a>
Algorithm explanation</h3>
<p >For a cache of page frame x:</p><ul>
<li>Check if the page is present in cache.</li>
@@ -170,7 +170,7 @@ Algorithm explanation</h3>
</li>
</ul>
<p >Every time a requested page is not found in cache, that is a miss or page fault, and if the page is present in cache, then its a hit.</p>
<h2><a class="anchor" id="autotoc_md87"></a>
<h2><a class="anchor" id="autotoc_md88"></a>
Data Structure used</h2>
<ul>
<li>In the algorithm below we used two different data structure, one is linked list and other one is a hash map</li>

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@@ -135,7 +135,7 @@ Functions</h2></td></tr>
<dl class="section author"><dt>Author</dt><dd><a href="https://adityaprakash.tech" target="_blank">Aditya Prakash</a></dd></dl>
<p>The working principle of the Bubble sort algorithm.</p>
<p >Bubble sort is a simple sorting algorithm used to rearrange a set of ascending or descending order elements. Bubble sort gets its name from the fact that data "bubbles" to the top of the dataset.</p>
<h3><a class="anchor" id="autotoc_md97"></a>
<h3><a class="anchor" id="autotoc_md98"></a>
Algorithm</h3>
<p >What is Swap?</p>
<p >Swapping two numbers means that we interchange their values. Often, an additional variable is required for this operation. This is further illustrated in the following:</p>

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</table>
<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p >An implementation for finding the <a href="https://www.youtube.com/watch?v=5cPbNCrdotA" target="_blank">Inorder successor of a binary search tree</a> Inorder successor of a node is the next node in Inorder traversal of the Binary Tree. Inorder Successor is NULL for the last node in Inorder traversal. </p>
<h3><a class="anchor" id="autotoc_md78"></a>
<h3><a class="anchor" id="autotoc_md79"></a>
Case 1: The given node has the right node/subtree</h3>
<pre class="fragment"> * In this case, the left-most deepest node in the right subtree will
</pre><p> come just after the given node as we go to left deep in inorder.</p><ul>
<li>Go deep to left most node in right subtree. OR, we can also say in case if BST, find the minimum of the subtree for a given node.</li>
</ul>
<h3><a class="anchor" id="autotoc_md79"></a>
<h3><a class="anchor" id="autotoc_md80"></a>
Case 2: The given node does not have a right node/subtree</h3>
<h4><a class="anchor" id="autotoc_md80"></a>
<h4><a class="anchor" id="autotoc_md81"></a>
Method 1: Use parent pointer (store the address of parent nodes)</h4>
<ul>
<li>If a node does not have the right subtree, and we already visited the node itself, then the next node will be its parent node according to inorder traversal, and if we are going to parent from left, then the parent would be unvisited.</li>
<li>In other words, go to the nearest ancestor for which given node would be in left subtree.</li>
</ul>
<h4><a class="anchor" id="autotoc_md81"></a>
<h4><a class="anchor" id="autotoc_md82"></a>
Method 2: Search from the root node</h4>
<ul>
<li>In case if there is no link from a child node to the parent node, we need to walk down the tree starting from the root node to the given node, by doing so, we are visiting every ancestor of the given node.</li>

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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p >Implementation to check whether a number is a power of 2 or not. </p>
<p >This algorithm uses bit manipulation to check if a number is a power of 2 or not.</p>
<h3><a class="anchor" id="autotoc_md76"></a>
<h3><a class="anchor" id="autotoc_md77"></a>
Algorithm</h3>
<p >Let the input number be n, then the bitwise and between n and n-1 will let us know whether the number is power of 2 or not</p>
<p >For Example, If N= 32 then N-1 is 31, if we perform bitwise and of these two numbers then the result will be zero, which indicates that it is the power of 2 If N=23 then N-1 is 22, if we perform bitwise and of these two numbers then the result will not be zero , which indicates that it is not the power of 2 </p><dl class="section note"><dt>Note</dt><dd>This implementation is better than naive recursive or iterative approach.</dd></dl>

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@@ -139,7 +139,7 @@ Functions</h2></td></tr>
<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p >Implementation of the <a href="https://en.wikipedia.org/wiki/Selection_sort" target="_blank">Selection sort</a> implementation using recursion. </p>
<p >The selection sort algorithm divides the input list into two parts: a sorted sublist of items which is built up from left to right at the front (left) of the list, and a sublist of the remaining unsorted items that occupy the rest of the list. Initially, the sorted sublist is empty, and the unsorted sublist is the entire input list. The algorithm proceeds by finding the smallest (or largest, depending on the sorting order) element in the unsorted sublist, exchanging (swapping) it with the leftmost unsorted element (putting it in sorted order), and moving the sublist boundaries one element to the right.</p>
<h3><a class="anchor" id="autotoc_md98"></a>
<h3><a class="anchor" id="autotoc_md99"></a>
Implementation</h3>
<p >FindMinIndex This function finds the minimum element of the array(list) recursively by simply comparing the minimum element of array reduced size by 1 and compares it to the last element of the array to find the minimum of the whole array.</p>
<p >SelectionSortRecursive Just like selection sort, it divides the list into two parts (i.e.: sorted and unsorted) and finds the minimum of the unsorted array. By calling the <code>FindMinIndex</code> function, it swaps the minimum element with the first element of the list, and then solves recursively for the remaining unsorted list. </p><dl class="section author"><dt>Author</dt><dd><a href="https://github.com/Tushar-K24" target="_blank">Tushar Khanduri</a> </dd></dl>

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@@ -139,7 +139,7 @@ Functions</h2></td></tr>
<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p ><a href="https://en.wikipedia.org/wiki/Gram%E2%80%93Schmidt_process" target="_blank">Gram Schmidt Orthogonalisation Process</a> </p>
<p >Takes the input of Linearly Independent Vectors, returns vectors orthogonal to each other.</p>
<h3><a class="anchor" id="autotoc_md74"></a>
<h3><a class="anchor" id="autotoc_md75"></a>
Algorithm</h3>
<p >Take the first vector of given LI vectors as first vector of Orthogonal vectors. Take projection of second input vector on the first vector of Orthogonal vector and subtract it from the 2nd LI vector. Take projection of third vector on the second vector of Othogonal vectors and subtract it from the 3rd LI vector. Keep repeating the above process until all the vectors in the given input array are exhausted.</p>
<p >For Example: In R2, Input LI Vectors={(3,1),(2,2)} then Orthogonal Vectors= {(3, 1),(-0.4, 1.2)}</p>

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@@ -148,14 +148,14 @@ Functions</h2></td></tr>
</table>
<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p >Implementation of the <a href="https://www.geeksforgeeks.org/sublist-search-search-a-linked-list-in-another-list" target="_blank">Sublist Search Algorithm</a> </p>
<h3><a class="anchor" id="autotoc_md93"></a>
<h3><a class="anchor" id="autotoc_md94"></a>
Algorithm</h3>
<ul>
<li>Sublist search is used to detect a presence of one list in another list.</li>
<li>Suppose we have a single-node list (let's say the first list), and we want to ensure that the list is present in another list (let's say the second list), then we can perform the sublist search to find it.</li>
<li>For instance, the first list contains these elements: 23 -&gt; 30 -&gt; 41, and the second list contains these elements: 10 -&gt; 15 -&gt; 23 -&gt; 30 -&gt; 41 -&gt; 49. At a glance, we see that the first list presents in the second list.</li>
</ul>
<h3><a class="anchor" id="autotoc_md94"></a>
<h3><a class="anchor" id="autotoc_md95"></a>
Working</h3>
<ul>
<li>The sublist search algorithm works by comparing the first element of the first list with the first element of the second list.</li>

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@@ -257,6 +257,7 @@ Hashing</h1>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/hashing/linear_probing_hash_table.cpp" target="_blank">Linear Probing Hash Table</a></li>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/hashing/md5.cpp" target="_blank">Md5</a></li>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/hashing/quadratic_probing_hash_table.cpp" target="_blank">Quadratic Probing Hash Table</a></li>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/hashing/sha1.cpp" target="_blank">Sha1</a></li>
</ul>
<h1><a class="anchor" id="autotoc_md47"></a>
Linear Algebra</h1>

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@@ -135,7 +135,7 @@ Functions</h2></td></tr>
<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p >Implementation of <a href="https://en.wikipedia.org/wiki/Bogosort" target="_blank">Bogosort algorithm</a> </p>
<p >In computer science, bogosort (also known as permutation sort, stupid sort, slowsort, shotgun sort, random sort, monkey sort, bobosort or shuffle sort) is a highly inefficient sorting algorithm based on the generate and test paradigm. Two versions of this algorithm exist: a deterministic version that enumerates all permutations until it hits a sorted one, and a randomized version that randomly permutes its input.Randomized version is implemented here.</p>
<h3><a class="anchor" id="autotoc_md95"></a>
<h3><a class="anchor" id="autotoc_md96"></a>
Algorithm</h3>
<p >Shuffle the array untill array is sorted.</p>
<dl class="section author"><dt>Author</dt><dd><a href="https://github.com/imdeep2905" target="_blank">Deep Raval</a> </dd></dl>

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@@ -98,7 +98,8 @@ $(document).ready(function(){initNavTree('d6/d0c/namespacehashing.html','../../'
<a href="../../d6/d0c/namespacehashing.html#details">More...</a></p>
<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p >Hashing algorithms. </p>
<p >Used for <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/copy.html">std::copy</a> Used for <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array</a> Used for assert Used for std::memcopy Used for IO operations Used for strings Used for <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a> </p>
<p >Used for <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/copy.html">std::copy</a> Used for <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array</a> Used for assert Used for std::memcopy Used for IO operations Used for strings Used for <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a></p>
<p >For <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/copy.html">std::copy</a> For <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array</a> For assert For std::memcopy For IO operations For strings For <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a> </p>
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<div class="headertitle"><div class="title">sha1.cpp File Reference</div></div>
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<p>Simple C++ implementation of the <a href="https://en.wikipedia.org/wiki/SHA-1" target="_blank">SHA-1 Hashing Algorithm</a>
<a href="#details">More...</a></p>
<div class="textblock"><code>#include &lt;algorithm&gt;</code><br />
<code>#include &lt;array&gt;</code><br />
<code>#include &lt;cassert&gt;</code><br />
<code>#include &lt;cstring&gt;</code><br />
<code>#include &lt;iostream&gt;</code><br />
<code>#include &lt;string&gt;</code><br />
<code>#include &lt;vector&gt;</code><br />
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Include dependency graph for sha1.cpp:</div>
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Namespaces</h2></td></tr>
<tr class="memitem:d6/d0c/namespacehashing"><td class="memItemLeft" align="right" valign="top">namespace &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d6/d0c/namespacehashing.html">hashing</a></td></tr>
<tr class="memdesc:d6/d0c/namespacehashing"><td class="mdescLeft">&#160;</td><td class="mdescRight">Hashing algorithms. <br /></td></tr>
<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:de/dd3/namespace_s_h_a"><td class="memItemLeft" align="right" valign="top">namespace &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../de/dd3/namespace_s_h_a.html">SHA</a></td></tr>
<tr class="memdesc:de/dd3/namespace_s_h_a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Functions for the <a href="https://en.wikipedia.org/wiki/SHA-1" target="_blank">SHA-1</a> algorithm implementation. <br /></td></tr>
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Functions</h2></td></tr>
<tr class="memitem:acf6bd970f29a68702bdbdfe8338e45e0"><td class="memItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d8/d7a/sha1_8cpp.html#acf6bd970f29a68702bdbdfe8338e45e0">hashing::sha1::leftRotate32bits</a> (uint32_t n, <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/types/size_t.html">std::size_t</a> rotate)</td></tr>
<tr class="memdesc:acf6bd970f29a68702bdbdfe8338e45e0"><td class="mdescLeft">&#160;</td><td class="mdescRight">Rotates the bits of a 32-bit unsigned integer. <a href="../../d8/d7a/sha1_8cpp.html#acf6bd970f29a68702bdbdfe8338e45e0">More...</a><br /></td></tr>
<tr class="separator:acf6bd970f29a68702bdbdfe8338e45e0"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aada0803ef851d831b7a290a924e3c228"><td class="memItemLeft" align="right" valign="top"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d8/d7a/sha1_8cpp.html#aada0803ef851d831b7a290a924e3c228">hashing::sha1::sig2hex</a> (void *sig)</td></tr>
<tr class="memdesc:aada0803ef851d831b7a290a924e3c228"><td class="mdescLeft">&#160;</td><td class="mdescRight">Transforms the 160-bit SHA-1 signature into a 40 char hex string. <a href="../../d8/d7a/sha1_8cpp.html#aada0803ef851d831b7a290a924e3c228">More...</a><br /></td></tr>
<tr class="separator:aada0803ef851d831b7a290a924e3c228"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a7be3471f7e489d7d0df42b97a48bf141"><td class="memItemLeft" align="right" valign="top">void *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d8/d7a/sha1_8cpp.html#a7be3471f7e489d7d0df42b97a48bf141">hashing::sha1::hash_bs</a> (const void *input_bs, uint64_t input_size)</td></tr>
<tr class="memdesc:a7be3471f7e489d7d0df42b97a48bf141"><td class="mdescLeft">&#160;</td><td class="mdescRight">The SHA-1 algorithm itself, taking in a bytestring. <a href="../../d8/d7a/sha1_8cpp.html#a7be3471f7e489d7d0df42b97a48bf141">More...</a><br /></td></tr>
<tr class="separator:a7be3471f7e489d7d0df42b97a48bf141"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a2397f2444a05e4d1487c67e215410d3c"><td class="memItemLeft" align="right" valign="top">void *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d8/d7a/sha1_8cpp.html#a2397f2444a05e4d1487c67e215410d3c">hashing::sha1::hash</a> (const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> &amp;message)</td></tr>
<tr class="memdesc:a2397f2444a05e4d1487c67e215410d3c"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts the string to bytestring and calls the main algorithm. <a href="../../d8/d7a/sha1_8cpp.html#a2397f2444a05e4d1487c67e215410d3c">More...</a><br /></td></tr>
<tr class="separator:a2397f2444a05e4d1487c67e215410d3c"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aa8dca7b867074164d5f45b0f3851269d"><td class="memItemLeft" align="right" valign="top">static void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d8/d7a/sha1_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a> ()</td></tr>
<tr class="memdesc:aa8dca7b867074164d5f45b0f3851269d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Self-test implementations of well-known SHA-1 hashes. <a href="../../d8/d7a/sha1_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">More...</a><br /></td></tr>
<tr class="separator:aa8dca7b867074164d5f45b0f3851269d"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ac9e1a11f44135b890dd10a00e73b5661"><td class="memItemLeft" align="right" valign="top">static void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d8/d7a/sha1_8cpp.html#ac9e1a11f44135b890dd10a00e73b5661">interactive</a> ()</td></tr>
<tr class="memdesc:ac9e1a11f44135b890dd10a00e73b5661"><td class="mdescLeft">&#160;</td><td class="mdescRight">Puts user in a loop where inputs can be given and SHA-1 hash will be computed and printed. <a href="../../d8/d7a/sha1_8cpp.html#ac9e1a11f44135b890dd10a00e73b5661">More...</a><br /></td></tr>
<tr class="separator:ac9e1a11f44135b890dd10a00e73b5661"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d8/d7a/sha1_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a> ()</td></tr>
<tr class="memdesc:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="mdescLeft">&#160;</td><td class="mdescRight">Main function. <a href="../../d8/d7a/sha1_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">More...</a><br /></td></tr>
<tr class="separator:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memSeparator" colspan="2">&#160;</td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p >Simple C++ implementation of the <a href="https://en.wikipedia.org/wiki/SHA-1" target="_blank">SHA-1 Hashing Algorithm</a> </p>
<dl class="section author"><dt>Author</dt><dd><a href="https://github.com/tGautot" target="_blank">tGautot</a></dd></dl>
<p><a href="https://en.wikipedia.org/wiki/SHA-1" target="_blank">SHA-1</a> is a cryptographic hash function that was developped by the <a href="https://en.wikipedia.org/wiki/National_Security_Agency" target="_blank">NSA</a> 1995. SHA-1 is not considered secure since around 2010.</p>
<h3><a class="anchor" id="autotoc_md74"></a>
Algorithm</h3>
<p >The first step of the algorithm is to pad the message for its length to be a multiple of 64 (bytes). This is done by first adding 0x80 (10000000) and then only zeroes until the last 8 bytes must be filled, where then the 64 bit size of the input will be added</p>
<p >Once this is done, the algo breaks down this padded message into 64 bytes chunks. Each chunk is used for one <em>round</em>, a round breaks the chunk into 16 blocks of 4 bytes. These 16 blocks are then extended to 80 blocks using <a class="el" href="../../d7/d47/namespace_x_o_r.html" title="Functions for XOR cipher algorithm.">XOR</a> operations on existing blocks (see code for more details). The algorithm will then update its 160-bit state (here represented used 5 32-bits integer) using partial hashes computed using special functions on the blocks previously built. Please take a look at the <a href="https://en.wikipedia.org/wiki/SHA-1#SHA-1_pseudocode" target="_blank">wikipedia article</a> for more precision on these operations </p><dl class="section note"><dt>Note</dt><dd>This is a simple implementation for a byte string but some implmenetations can work on bytestream, messages of unknown length. </dd></dl>
</div><h2 class="groupheader">Function Documentation</h2>
<a id="a2397f2444a05e4d1487c67e215410d3c" name="a2397f2444a05e4d1487c67e215410d3c"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a2397f2444a05e4d1487c67e215410d3c">&#9670;&nbsp;</a></span>hash()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void * hashing::sha1::hash </td>
<td>(</td>
<td class="paramtype">const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> &amp;&#160;</td>
<td class="paramname"><em>message</em></td><td>)</td>
<td></td>
</tr>
</table>
</div><div class="memdoc">
<p>Converts the string to bytestring and calls the main algorithm. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">message</td><td>Plain character message to hash </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>void* Pointer to the SHA-1 signature </dd></dl>
<div class="fragment"><div class="line"><a id="l00210" name="l00210"></a><span class="lineno"> 210</span> {</div>
<div class="line"><a id="l00211" name="l00211"></a><span class="lineno"> 211</span> <span class="keywordflow">return</span> <a class="code hl_function" href="../../d5/d96/md5_8cpp.html#a5341431cef7fcfc33794326e1deb2425">hash_bs</a>(&amp;message[0], message.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string/size.html">size</a>());</div>
<div class="line"><a id="l00212" name="l00212"></a><span class="lineno"> 212</span>}</div>
<div class="ttc" id="amd5_8cpp_html_a5341431cef7fcfc33794326e1deb2425"><div class="ttname"><a href="../../d5/d96/md5_8cpp.html#a5341431cef7fcfc33794326e1deb2425">hashing::md5::hash_bs</a></div><div class="ttdeci">void * hash_bs(const void *input_bs, uint64_t input_size)</div><div class="ttdoc">The MD5 algorithm itself, taking in a bytestring.</div><div class="ttdef"><b>Definition:</b> md5.cpp:138</div></div>
<div class="ttc" id="asize_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/string/basic_string/size.html">std::string::size</a></div><div class="ttdeci">T size(T... args)</div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#a7be3471f7e489d7d0df42b97a48bf141">&#9670;&nbsp;</a></span>hash_bs()</h2>
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<td class="memname">void * hashing::sha1::hash_bs </td>
<td>(</td>
<td class="paramtype">const void *&#160;</td>
<td class="paramname"><em>input_bs</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint64_t&#160;</td>
<td class="paramname"><em>input_size</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<p>The SHA-1 algorithm itself, taking in a bytestring. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">input_bs</td><td>The bytestring to hash </td></tr>
<tr><td class="paramname">input_size</td><td>The size (in BYTES) of the input </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>void* Pointer to the 160-bit signature </dd></dl>
<div class="fragment"><div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span> {</div>
<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span> <span class="keyword">auto</span>* input = <span class="keyword">static_cast&lt;</span><span class="keyword">const </span>uint8_t*<span class="keyword">&gt;</span>(input_bs);</div>
<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"> 85</span> </div>
<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"> 86</span> <span class="comment">// Step 0: The initial 160-bit state</span></div>
<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"> 87</span> uint32_t h0 = 0x67452301, a = 0;</div>
<div class="line"><a id="l00088" name="l00088"></a><span class="lineno"> 88</span> uint32_t h1 = 0xEFCDAB89, b = 0;</div>
<div class="line"><a id="l00089" name="l00089"></a><span class="lineno"> 89</span> uint32_t h2 = 0x98BADCFE, c = 0;</div>
<div class="line"><a id="l00090" name="l00090"></a><span class="lineno"> 90</span> uint32_t h3 = 0x10325476, d = 0;</div>
<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"> 91</span> uint32_t h4 = 0xC3D2E1F0, e = 0;</div>
<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"> 92</span> </div>
<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"> 93</span> <span class="comment">// Step 1: Processing the bytestring</span></div>
<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"> 94</span> <span class="comment">// First compute the size the padded message will have</span></div>
<div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span> <span class="comment">// so it is possible to allocate the right amount of memory</span></div>
<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</span> uint64_t padded_message_size = 0;</div>
<div class="line"><a id="l00097" name="l00097"></a><span class="lineno"> 97</span> <span class="keywordflow">if</span> (input_size % 64 &lt; 56) {</div>
<div class="line"><a id="l00098" name="l00098"></a><span class="lineno"> 98</span> padded_message_size = input_size + 64 - (input_size % 64);</div>
<div class="line"><a id="l00099" name="l00099"></a><span class="lineno"> 99</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00100" name="l00100"></a><span class="lineno"> 100</span> padded_message_size = input_size + 128 - (input_size % 64);</div>
<div class="line"><a id="l00101" name="l00101"></a><span class="lineno"> 101</span> }</div>
<div class="line"><a id="l00102" name="l00102"></a><span class="lineno"> 102</span> </div>
<div class="line"><a id="l00103" name="l00103"></a><span class="lineno"> 103</span> <span class="comment">// Allocate the memory for the padded message</span></div>
<div class="line"><a id="l00104" name="l00104"></a><span class="lineno"> 104</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;uint8_t&gt;</a> padded_message(padded_message_size);</div>
<div class="line"><a id="l00105" name="l00105"></a><span class="lineno"> 105</span> </div>
<div class="line"><a id="l00106" name="l00106"></a><span class="lineno"> 106</span> <span class="comment">// Beginning of the padded message is the original message</span></div>
<div class="line"><a id="l00107" name="l00107"></a><span class="lineno"> 107</span> <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/copy.html">std::copy</a>(input, input + input_size, padded_message.begin());</div>
<div class="line"><a id="l00108" name="l00108"></a><span class="lineno"> 108</span> </div>
<div class="line"><a id="l00109" name="l00109"></a><span class="lineno"> 109</span> <span class="comment">// Afterwards comes a single 1 bit and then only zeroes</span></div>
<div class="line"><a id="l00110" name="l00110"></a><span class="lineno"> 110</span> padded_message[input_size] = 1 &lt;&lt; 7; <span class="comment">// 10000000</span></div>
<div class="line"><a id="l00111" name="l00111"></a><span class="lineno"> 111</span> <span class="keywordflow">for</span> (uint64_t i = input_size; i % 64 != 56; i++) {</div>
<div class="line"><a id="l00112" name="l00112"></a><span class="lineno"> 112</span> <span class="keywordflow">if</span> (i == input_size) {</div>
<div class="line"><a id="l00113" name="l00113"></a><span class="lineno"> 113</span> <span class="keywordflow">continue</span>; <span class="comment">// pass first iteration</span></div>
<div class="line"><a id="l00114" name="l00114"></a><span class="lineno"> 114</span> }</div>
<div class="line"><a id="l00115" name="l00115"></a><span class="lineno"> 115</span> padded_message[i] = 0;</div>
<div class="line"><a id="l00116" name="l00116"></a><span class="lineno"> 116</span> }</div>
<div class="line"><a id="l00117" name="l00117"></a><span class="lineno"> 117</span> </div>
<div class="line"><a id="l00118" name="l00118"></a><span class="lineno"> 118</span> <span class="comment">// We then have to add the 64-bit size of the message in bits (hence the</span></div>
<div class="line"><a id="l00119" name="l00119"></a><span class="lineno"> 119</span> <span class="comment">// times 8) in the last 8 bytes</span></div>
<div class="line"><a id="l00120" name="l00120"></a><span class="lineno"> 120</span> uint64_t input_bitsize = input_size * 8;</div>
<div class="line"><a id="l00121" name="l00121"></a><span class="lineno"> 121</span> <span class="keywordflow">for</span> (uint8_t i = 0; i &lt; 8; i++) {</div>
<div class="line"><a id="l00122" name="l00122"></a><span class="lineno"> 122</span> padded_message[padded_message_size - 8 + i] =</div>
<div class="line"><a id="l00123" name="l00123"></a><span class="lineno"> 123</span> (input_bitsize &gt;&gt; (56 - 8 * i)) &amp; 0xFF;</div>
<div class="line"><a id="l00124" name="l00124"></a><span class="lineno"> 124</span> }</div>
<div class="line"><a id="l00125" name="l00125"></a><span class="lineno"> 125</span> </div>
<div class="line"><a id="l00126" name="l00126"></a><span class="lineno"> 126</span> <span class="comment">// Already allocate memory for blocks</span></div>
<div class="line"><a id="l00127" name="l00127"></a><span class="lineno"> 127</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array&lt;uint32_t, 80&gt;</a> blocks{};</div>
<div class="line"><a id="l00128" name="l00128"></a><span class="lineno"> 128</span> </div>
<div class="line"><a id="l00129" name="l00129"></a><span class="lineno"> 129</span> <span class="comment">// Rounds</span></div>
<div class="line"><a id="l00130" name="l00130"></a><span class="lineno"> 130</span> <span class="keywordflow">for</span> (uint64_t chunk = 0; chunk * 64 &lt; padded_message_size; chunk++) {</div>
<div class="line"><a id="l00131" name="l00131"></a><span class="lineno"> 131</span> <span class="comment">// First, build 16 32-bits blocks from the chunk</span></div>
<div class="line"><a id="l00132" name="l00132"></a><span class="lineno"> 132</span> <span class="keywordflow">for</span> (uint8_t bid = 0; bid &lt; 16; bid++) {</div>
<div class="line"><a id="l00133" name="l00133"></a><span class="lineno"> 133</span> blocks[bid] = 0;</div>
<div class="line"><a id="l00134" name="l00134"></a><span class="lineno"> 134</span> </div>
<div class="line"><a id="l00135" name="l00135"></a><span class="lineno"> 135</span> <span class="comment">// Having to build a 32-bit word from 4-bit words</span></div>
<div class="line"><a id="l00136" name="l00136"></a><span class="lineno"> 136</span> <span class="comment">// Add each and shift them to the left</span></div>
<div class="line"><a id="l00137" name="l00137"></a><span class="lineno"> 137</span> <span class="keywordflow">for</span> (uint8_t cid = 0; cid &lt; 4; cid++) {</div>
<div class="line"><a id="l00138" name="l00138"></a><span class="lineno"> 138</span> blocks[bid] = (blocks[bid] &lt;&lt; 8) +</div>
<div class="line"><a id="l00139" name="l00139"></a><span class="lineno"> 139</span> padded_message[chunk * 64 + bid * 4 + cid];</div>
<div class="line"><a id="l00140" name="l00140"></a><span class="lineno"> 140</span> }</div>
<div class="line"><a id="l00141" name="l00141"></a><span class="lineno"> 141</span> </div>
<div class="line"><a id="l00142" name="l00142"></a><span class="lineno"> 142</span> <span class="comment">// Extend the 16 32-bit words into 80 32-bit words</span></div>
<div class="line"><a id="l00143" name="l00143"></a><span class="lineno"> 143</span> <span class="keywordflow">for</span> (uint8_t i = 16; i &lt; 80; i++) {</div>
<div class="line"><a id="l00144" name="l00144"></a><span class="lineno"> 144</span> blocks[i] =</div>
<div class="line"><a id="l00145" name="l00145"></a><span class="lineno"> 145</span> <a class="code hl_function" href="../../d5/d96/md5_8cpp.html#add2bf982d5dd64a45d13cba52c2b371d">leftRotate32bits</a>(blocks[i - 3] ^ blocks[i - 8] ^</div>
<div class="line"><a id="l00146" name="l00146"></a><span class="lineno"> 146</span> blocks[i - 14] ^ blocks[i - 16],</div>
<div class="line"><a id="l00147" name="l00147"></a><span class="lineno"> 147</span> 1);</div>
<div class="line"><a id="l00148" name="l00148"></a><span class="lineno"> 148</span> }</div>
<div class="line"><a id="l00149" name="l00149"></a><span class="lineno"> 149</span> }</div>
<div class="line"><a id="l00150" name="l00150"></a><span class="lineno"> 150</span> </div>
<div class="line"><a id="l00151" name="l00151"></a><span class="lineno"> 151</span> a = h0;</div>
<div class="line"><a id="l00152" name="l00152"></a><span class="lineno"> 152</span> b = h1;</div>
<div class="line"><a id="l00153" name="l00153"></a><span class="lineno"> 153</span> c = h2;</div>
<div class="line"><a id="l00154" name="l00154"></a><span class="lineno"> 154</span> d = h3;</div>
<div class="line"><a id="l00155" name="l00155"></a><span class="lineno"> 155</span> e = h4;</div>
<div class="line"><a id="l00156" name="l00156"></a><span class="lineno"> 156</span> </div>
<div class="line"><a id="l00157" name="l00157"></a><span class="lineno"> 157</span> <span class="comment">// Main &quot;hashing&quot; loop</span></div>
<div class="line"><a id="l00158" name="l00158"></a><span class="lineno"> 158</span> <span class="keywordflow">for</span> (uint8_t i = 0; i &lt; 80; i++) {</div>
<div class="line"><a id="l00159" name="l00159"></a><span class="lineno"> 159</span> uint32_t F = 0, g = 0;</div>
<div class="line"><a id="l00160" name="l00160"></a><span class="lineno"> 160</span> <span class="keywordflow">if</span> (i &lt; 20) {</div>
<div class="line"><a id="l00161" name="l00161"></a><span class="lineno"> 161</span> F = (b &amp; c) | ((~b) &amp; d);</div>
<div class="line"><a id="l00162" name="l00162"></a><span class="lineno"> 162</span> g = 0x5A827999;</div>
<div class="line"><a id="l00163" name="l00163"></a><span class="lineno"> 163</span> } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (i &lt; 40) {</div>
<div class="line"><a id="l00164" name="l00164"></a><span class="lineno"> 164</span> F = b ^ c ^ d;</div>
<div class="line"><a id="l00165" name="l00165"></a><span class="lineno"> 165</span> g = 0x6ED9EBA1;</div>
<div class="line"><a id="l00166" name="l00166"></a><span class="lineno"> 166</span> } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (i &lt; 60) {</div>
<div class="line"><a id="l00167" name="l00167"></a><span class="lineno"> 167</span> F = (b &amp; c) | (b &amp; d) | (c &amp; d);</div>
<div class="line"><a id="l00168" name="l00168"></a><span class="lineno"> 168</span> g = 0x8F1BBCDC;</div>
<div class="line"><a id="l00169" name="l00169"></a><span class="lineno"> 169</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00170" name="l00170"></a><span class="lineno"> 170</span> F = b ^ c ^ d;</div>
<div class="line"><a id="l00171" name="l00171"></a><span class="lineno"> 171</span> g = 0xCA62C1D6;</div>
<div class="line"><a id="l00172" name="l00172"></a><span class="lineno"> 172</span> }</div>
<div class="line"><a id="l00173" name="l00173"></a><span class="lineno"> 173</span> </div>
<div class="line"><a id="l00174" name="l00174"></a><span class="lineno"> 174</span> <span class="comment">// Update the accumulators</span></div>
<div class="line"><a id="l00175" name="l00175"></a><span class="lineno"> 175</span> uint32_t temp = <a class="code hl_function" href="../../d5/d96/md5_8cpp.html#add2bf982d5dd64a45d13cba52c2b371d">leftRotate32bits</a>(a, 5) + F + e + g + blocks[i];</div>
<div class="line"><a id="l00176" name="l00176"></a><span class="lineno"> 176</span> e = d;</div>
<div class="line"><a id="l00177" name="l00177"></a><span class="lineno"> 177</span> d = c;</div>
<div class="line"><a id="l00178" name="l00178"></a><span class="lineno"> 178</span> c = <a class="code hl_function" href="../../d5/d96/md5_8cpp.html#add2bf982d5dd64a45d13cba52c2b371d">leftRotate32bits</a>(b, 30);</div>
<div class="line"><a id="l00179" name="l00179"></a><span class="lineno"> 179</span> b = a;</div>
<div class="line"><a id="l00180" name="l00180"></a><span class="lineno"> 180</span> a = temp;</div>
<div class="line"><a id="l00181" name="l00181"></a><span class="lineno"> 181</span> }</div>
<div class="line"><a id="l00182" name="l00182"></a><span class="lineno"> 182</span> <span class="comment">// Update the state with this chunk&#39;s hash</span></div>
<div class="line"><a id="l00183" name="l00183"></a><span class="lineno"> 183</span> h0 += a;</div>
<div class="line"><a id="l00184" name="l00184"></a><span class="lineno"> 184</span> h1 += b;</div>
<div class="line"><a id="l00185" name="l00185"></a><span class="lineno"> 185</span> h2 += c;</div>
<div class="line"><a id="l00186" name="l00186"></a><span class="lineno"> 186</span> h3 += d;</div>
<div class="line"><a id="l00187" name="l00187"></a><span class="lineno"> 187</span> h4 += e;</div>
<div class="line"><a id="l00188" name="l00188"></a><span class="lineno"> 188</span> }</div>
<div class="line"><a id="l00189" name="l00189"></a><span class="lineno"> 189</span> </div>
<div class="line"><a id="l00190" name="l00190"></a><span class="lineno"> 190</span> <span class="comment">// Build signature from state</span></div>
<div class="line"><a id="l00191" name="l00191"></a><span class="lineno"> 191</span> <span class="comment">// Note, any type could be used for the signature</span></div>
<div class="line"><a id="l00192" name="l00192"></a><span class="lineno"> 192</span> <span class="comment">// uint8_t was used to make the 20 bytes obvious</span></div>
<div class="line"><a id="l00193" name="l00193"></a><span class="lineno"> 193</span> <span class="keyword">auto</span>* sig = <span class="keyword">new</span> uint8_t[20];</div>
<div class="line"><a id="l00194" name="l00194"></a><span class="lineno"> 194</span> <span class="keywordflow">for</span> (uint8_t i = 0; i &lt; 4; i++) {</div>
<div class="line"><a id="l00195" name="l00195"></a><span class="lineno"> 195</span> sig[i] = (h0 &gt;&gt; (24 - 8 * i)) &amp; 0xFF;</div>
<div class="line"><a id="l00196" name="l00196"></a><span class="lineno"> 196</span> sig[i + 4] = (h1 &gt;&gt; (24 - 8 * i)) &amp; 0xFF;</div>
<div class="line"><a id="l00197" name="l00197"></a><span class="lineno"> 197</span> sig[i + 8] = (h2 &gt;&gt; (24 - 8 * i)) &amp; 0xFF;</div>
<div class="line"><a id="l00198" name="l00198"></a><span class="lineno"> 198</span> sig[i + 12] = (h3 &gt;&gt; (24 - 8 * i)) &amp; 0xFF;</div>
<div class="line"><a id="l00199" name="l00199"></a><span class="lineno"> 199</span> sig[i + 16] = (h4 &gt;&gt; (24 - 8 * i)) &amp; 0xFF;</div>
<div class="line"><a id="l00200" name="l00200"></a><span class="lineno"> 200</span> }</div>
<div class="line"><a id="l00201" name="l00201"></a><span class="lineno"> 201</span> </div>
<div class="line"><a id="l00202" name="l00202"></a><span class="lineno"> 202</span> <span class="keywordflow">return</span> sig;</div>
<div class="line"><a id="l00203" name="l00203"></a><span class="lineno"> 203</span>}</div>
<div class="ttc" id="aarray_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/array.html">std::array</a></div></div>
<div class="ttc" id="acopy_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/algorithm/copy.html">std::copy</a></div><div class="ttdeci">T copy(T... args)</div></div>
<div class="ttc" id="amd5_8cpp_html_add2bf982d5dd64a45d13cba52c2b371d"><div class="ttname"><a href="../../d5/d96/md5_8cpp.html#add2bf982d5dd64a45d13cba52c2b371d">hashing::md5::leftRotate32bits</a></div><div class="ttdeci">uint32_t leftRotate32bits(uint32_t n, std::size_t rotate)</div><div class="ttdoc">Rotates the bits of a 32-bit unsigned integer.</div><div class="ttdef"><b>Definition:</b> md5.cpp:66</div></div>
<div class="ttc" id="avector_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a></div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#ac9e1a11f44135b890dd10a00e73b5661">&#9670;&nbsp;</a></span>interactive()</h2>
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<td class="memname">static void interactive </td>
<td>(</td>
<td class="paramname"></td><td>)</td>
<td></td>
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</table>
</td>
<td class="mlabels-right">
<span class="mlabels"><span class="mlabel">static</span></span> </td>
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<p>Puts user in a loop where inputs can be given and SHA-1 hash will be computed and printed. </p>
<dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
<div class="fragment"><div class="line"><a id="l00274" name="l00274"></a><span class="lineno"> 274</span> {</div>
<div class="line"><a id="l00275" name="l00275"></a><span class="lineno"> 275</span> <span class="keywordflow">while</span> (<span class="keyword">true</span>) {</div>
<div class="line"><a id="l00276" name="l00276"></a><span class="lineno"> 276</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> input;</div>
<div class="line"><a id="l00277" name="l00277"></a><span class="lineno"> 277</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Enter a message to be hashed (Ctrl-C to exit): &quot;</span></div>
<div class="line"><a id="l00278" name="l00278"></a><span class="lineno"> 278</span> &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a id="l00279" name="l00279"></a><span class="lineno"> 279</span> <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string/getline.html">std::getline</a>(<a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a>, input);</div>
<div class="line"><a id="l00280" name="l00280"></a><span class="lineno"> 280</span> <span class="keywordtype">void</span>* sig = <a class="code hl_function" href="../../d8/d7a/sha1_8cpp.html#a2397f2444a05e4d1487c67e215410d3c">hashing::sha1::hash</a>(input);</div>
<div class="line"><a id="l00281" name="l00281"></a><span class="lineno"> 281</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Hash is: &quot;</span> &lt;&lt; <a class="code hl_function" href="../../d8/d7a/sha1_8cpp.html#aada0803ef851d831b7a290a924e3c228">hashing::sha1::sig2hex</a>(sig) &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a id="l00282" name="l00282"></a><span class="lineno"> 282</span> </div>
<div class="line"><a id="l00283" name="l00283"></a><span class="lineno"> 283</span> <span class="keywordflow">while</span> (<span class="keyword">true</span>) {</div>
<div class="line"><a id="l00284" name="l00284"></a><span class="lineno"> 284</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Want to enter another message? (y/n) &quot;</span>;</div>
<div class="line"><a id="l00285" name="l00285"></a><span class="lineno"> 285</span> <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string/getline.html">std::getline</a>(<a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a>, input);</div>
<div class="line"><a id="l00286" name="l00286"></a><span class="lineno"> 286</span> <span class="keywordflow">if</span> (input.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string/compare.html">compare</a>(<span class="stringliteral">&quot;y&quot;</span>) == 0) {</div>
<div class="line"><a id="l00287" name="l00287"></a><span class="lineno"> 287</span> <span class="keywordflow">break</span>;</div>
<div class="line"><a id="l00288" name="l00288"></a><span class="lineno"> 288</span> } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (input.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string/compare.html">compare</a>(<span class="stringliteral">&quot;n&quot;</span>) == 0) {</div>
<div class="line"><a id="l00289" name="l00289"></a><span class="lineno"> 289</span> <span class="keywordflow">return</span>;</div>
<div class="line"><a id="l00290" name="l00290"></a><span class="lineno"> 290</span> }</div>
<div class="line"><a id="l00291" name="l00291"></a><span class="lineno"> 291</span> }</div>
<div class="line"><a id="l00292" name="l00292"></a><span class="lineno"> 292</span> }</div>
<div class="line"><a id="l00293" name="l00293"></a><span class="lineno"> 293</span>}</div>
<div class="ttc" id="abasic_istream_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a></div></div>
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<div class="ttc" id="agetline_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/string/basic_string/getline.html">std::getline</a></div><div class="ttdeci">T getline(T... args)</div></div>
<div class="ttc" id="asha1_8cpp_html_a2397f2444a05e4d1487c67e215410d3c"><div class="ttname"><a href="../../d8/d7a/sha1_8cpp.html#a2397f2444a05e4d1487c67e215410d3c">hashing::sha1::hash</a></div><div class="ttdeci">void * hash(const std::string &amp;message)</div><div class="ttdoc">Converts the string to bytestring and calls the main algorithm.</div><div class="ttdef"><b>Definition:</b> sha1.cpp:210</div></div>
<div class="ttc" id="asha1_8cpp_html_aada0803ef851d831b7a290a924e3c228"><div class="ttname"><a href="../../d8/d7a/sha1_8cpp.html#aada0803ef851d831b7a290a924e3c228">hashing::sha1::sig2hex</a></div><div class="ttdeci">std::string sig2hex(void *sig)</div><div class="ttdoc">Transforms the 160-bit SHA-1 signature into a 40 char hex string.</div><div class="ttdef"><b>Definition:</b> sha1.cpp:66</div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#acf6bd970f29a68702bdbdfe8338e45e0">&#9670;&nbsp;</a></span>leftRotate32bits()</h2>
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<td class="memname">uint32_t hashing::sha1::leftRotate32bits </td>
<td>(</td>
<td class="paramtype">uint32_t&#160;</td>
<td class="paramname"><em>n</em>, </td>
</tr>
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<td class="paramkey"></td>
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<td class="paramtype"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/types/size_t.html">std::size_t</a>&#160;</td>
<td class="paramname"><em>rotate</em>&#160;</td>
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<td>)</td>
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<p>Rotates the bits of a 32-bit unsigned integer. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">n</td><td>Integer to rotate </td></tr>
<tr><td class="paramname">rotate</td><td>How many bits for the rotation </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>uint32_t The rotated integer </dd></dl>
<div class="fragment"><div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span> {</div>
<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span> <span class="keywordflow">return</span> (n &lt;&lt; rotate) | (n &gt;&gt; (32 - <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/rotate.html">rotate</a>));</div>
<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span>}</div>
<div class="ttc" id="arotate_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/algorithm/rotate.html">std::rotate</a></div><div class="ttdeci">T rotate(T... args)</div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#ae66f6b31b5ad750f1fe042a706a4e3d4">&#9670;&nbsp;</a></span>main()</h2>
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<td class="memname">int main </td>
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<p>Main function. </p>
<dl class="section return"><dt>Returns</dt><dd>0 on exit </dd></dl>
<div class="fragment"><div class="line"><a id="l00299" name="l00299"></a><span class="lineno"> 299</span> {</div>
<div class="line"><a id="l00300" name="l00300"></a><span class="lineno"> 300</span> <a class="code hl_function" href="../../d8/d7a/sha1_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>(); <span class="comment">// run self-test implementations</span></div>
<div class="line"><a id="l00301" name="l00301"></a><span class="lineno"> 301</span> </div>
<div class="line"><a id="l00302" name="l00302"></a><span class="lineno"> 302</span> <span class="comment">// Launch interactive mode where user can input messages and see</span></div>
<div class="line"><a id="l00303" name="l00303"></a><span class="lineno"> 303</span> <span class="comment">// their hash</span></div>
<div class="line"><a id="l00304" name="l00304"></a><span class="lineno"> 304</span> <a class="code hl_function" href="../../d8/d7a/sha1_8cpp.html#ac9e1a11f44135b890dd10a00e73b5661">interactive</a>();</div>
<div class="line"><a id="l00305" name="l00305"></a><span class="lineno"> 305</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><a id="l00306" name="l00306"></a><span class="lineno"> 306</span>}</div>
<div class="ttc" id="asha1_8cpp_html_aa8dca7b867074164d5f45b0f3851269d"><div class="ttname"><a href="../../d8/d7a/sha1_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a></div><div class="ttdeci">static void test()</div><div class="ttdoc">Self-test implementations of well-known SHA-1 hashes.</div><div class="ttdef"><b>Definition:</b> sha1.cpp:220</div></div>
<div class="ttc" id="asha1_8cpp_html_ac9e1a11f44135b890dd10a00e73b5661"><div class="ttname"><a href="../../d8/d7a/sha1_8cpp.html#ac9e1a11f44135b890dd10a00e73b5661">interactive</a></div><div class="ttdeci">static void interactive()</div><div class="ttdoc">Puts user in a loop where inputs can be given and SHA-1 hash will be computed and printed.</div><div class="ttdef"><b>Definition:</b> sha1.cpp:274</div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#aada0803ef851d831b7a290a924e3c228">&#9670;&nbsp;</a></span>sig2hex()</h2>
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<td class="memname"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> hashing::sha1::sig2hex </td>
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<td class="paramtype">void *&#160;</td>
<td class="paramname"><em>sig</em></td><td>)</td>
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<p>Transforms the 160-bit SHA-1 signature into a 40 char hex string. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">sig</td><td>The SHA-1 signature (Expected 20 bytes) </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> The hex signature </dd></dl>
<div class="fragment"><div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span> {</div>
<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* hexChars = <span class="stringliteral">&quot;0123456789abcdef&quot;</span>;</div>
<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span> <span class="keyword">auto</span>* intsig = <span class="keyword">static_cast&lt;</span>uint8_t*<span class="keyword">&gt;</span>(sig);</div>
<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/hex.html">hex</a> = <span class="stringliteral">&quot;&quot;</span>;</div>
<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</span> <span class="keywordflow">for</span> (uint8_t i = 0; i &lt; 20; i++) {</div>
<div class="line"><a id="l00071" name="l00071"></a><span class="lineno"> 71</span> <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/hex.html">hex</a>.push_back(hexChars[(intsig[i] &gt;&gt; 4) &amp; 0xF]);</div>
<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"> 72</span> <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/hex.html">hex</a>.push_back(hexChars[(intsig[i]) &amp; 0xF]);</div>
<div class="line"><a id="l00073" name="l00073"></a><span class="lineno"> 73</span> }</div>
<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"> 74</span> <span class="keywordflow">return</span> <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/hex.html">hex</a>;</div>
<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span>}</div>
<div class="ttc" id="ahex_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/manip/hex.html">std::hex</a></div><div class="ttdeci">T hex(T... args)</div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#aa8dca7b867074164d5f45b0f3851269d">&#9670;&nbsp;</a></span>test()</h2>
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<td class="memname">static void test </td>
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<p>Self-test implementations of well-known SHA-1 hashes. </p>
<dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
<div class="fragment"><div class="line"><a id="l00220" name="l00220"></a><span class="lineno"> 220</span> {</div>
<div class="line"><a id="l00221" name="l00221"></a><span class="lineno"> 221</span> <span class="comment">// Hashes empty string and stores signature</span></div>
<div class="line"><a id="l00222" name="l00222"></a><span class="lineno"> 222</span> <span class="keywordtype">void</span>* sig = <a class="code hl_function" href="../../d8/d7a/sha1_8cpp.html#a2397f2444a05e4d1487c67e215410d3c">hashing::sha1::hash</a>(<span class="stringliteral">&quot;&quot;</span>);</div>
<div class="line"><a id="l00223" name="l00223"></a><span class="lineno"> 223</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Hashing empty string&quot;</span> &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a id="l00224" name="l00224"></a><span class="lineno"> 224</span> <span class="comment">// Prints signature hex representation</span></div>
<div class="line"><a id="l00225" name="l00225"></a><span class="lineno"> 225</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <a class="code hl_function" href="../../d8/d7a/sha1_8cpp.html#aada0803ef851d831b7a290a924e3c228">hashing::sha1::sig2hex</a>(sig) &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a> &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a id="l00226" name="l00226"></a><span class="lineno"> 226</span> <span class="comment">// Test with cassert wether sig is correct from expected value</span></div>
<div class="line"><a id="l00227" name="l00227"></a><span class="lineno"> 227</span> assert(hashing::sha1::sig2hex(sig).<a class="code hl_function" href="../../d4/d7a/shell__sort2_8cpp.html#a7eb77daed2cf1513f6d68c47a1c2db1c">compare</a>(</div>
<div class="line"><a id="l00228" name="l00228"></a><span class="lineno"> 228</span> <span class="stringliteral">&quot;da39a3ee5e6b4b0d3255bfef95601890afd80709&quot;</span>) == 0);</div>
<div class="line"><a id="l00229" name="l00229"></a><span class="lineno"> 229</span> </div>
<div class="line"><a id="l00230" name="l00230"></a><span class="lineno"> 230</span> <span class="comment">// Hashes &quot;The quick brown fox jumps over the lazy dog&quot; and stores signature</span></div>
<div class="line"><a id="l00231" name="l00231"></a><span class="lineno"> 231</span> <span class="keywordtype">void</span>* sig2 =</div>
<div class="line"><a id="l00232" name="l00232"></a><span class="lineno"> 232</span> <a class="code hl_function" href="../../d8/d7a/sha1_8cpp.html#a2397f2444a05e4d1487c67e215410d3c">hashing::sha1::hash</a>(<span class="stringliteral">&quot;The quick brown fox jumps over the lazy dog&quot;</span>);</div>
<div class="line"><a id="l00233" name="l00233"></a><span class="lineno"> 233</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Hashing The quick brown fox jumps over the lazy dog&quot;</span></div>
<div class="line"><a id="l00234" name="l00234"></a><span class="lineno"> 234</span> &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a id="l00235" name="l00235"></a><span class="lineno"> 235</span> <span class="comment">// Prints signature hex representation</span></div>
<div class="line"><a id="l00236" name="l00236"></a><span class="lineno"> 236</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <a class="code hl_function" href="../../d8/d7a/sha1_8cpp.html#aada0803ef851d831b7a290a924e3c228">hashing::sha1::sig2hex</a>(sig2) &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a> &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a id="l00237" name="l00237"></a><span class="lineno"> 237</span> <span class="comment">// Test with cassert wether sig is correct from expected value</span></div>
<div class="line"><a id="l00238" name="l00238"></a><span class="lineno"> 238</span> assert(hashing::sha1::sig2hex(sig2).<a class="code hl_function" href="../../d4/d7a/shell__sort2_8cpp.html#a7eb77daed2cf1513f6d68c47a1c2db1c">compare</a>(</div>
<div class="line"><a id="l00239" name="l00239"></a><span class="lineno"> 239</span> <span class="stringliteral">&quot;2fd4e1c67a2d28fced849ee1bb76e7391b93eb12&quot;</span>) == 0);</div>
<div class="line"><a id="l00240" name="l00240"></a><span class="lineno"> 240</span> </div>
<div class="line"><a id="l00241" name="l00241"></a><span class="lineno"> 241</span> <span class="comment">// Hashes &quot;The quick brown fox jumps over the lazy dog.&quot; (notice the</span></div>
<div class="line"><a id="l00242" name="l00242"></a><span class="lineno"> 242</span> <span class="comment">// additional period) and stores signature</span></div>
<div class="line"><a id="l00243" name="l00243"></a><span class="lineno"> 243</span> <span class="keywordtype">void</span>* sig3 =</div>
<div class="line"><a id="l00244" name="l00244"></a><span class="lineno"> 244</span> <a class="code hl_function" href="../../d8/d7a/sha1_8cpp.html#a2397f2444a05e4d1487c67e215410d3c">hashing::sha1::hash</a>(<span class="stringliteral">&quot;The quick brown fox jumps over the lazy dog.&quot;</span>);</div>
<div class="line"><a id="l00245" name="l00245"></a><span class="lineno"> 245</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Hashing &quot;</span></div>
<div class="line"><a id="l00246" name="l00246"></a><span class="lineno"> 246</span> <span class="stringliteral">&quot;The quick brown fox jumps over the lazy dog.&quot;</span></div>
<div class="line"><a id="l00247" name="l00247"></a><span class="lineno"> 247</span> &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a id="l00248" name="l00248"></a><span class="lineno"> 248</span> <span class="comment">// Prints signature hex representation</span></div>
<div class="line"><a id="l00249" name="l00249"></a><span class="lineno"> 249</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <a class="code hl_function" href="../../d8/d7a/sha1_8cpp.html#aada0803ef851d831b7a290a924e3c228">hashing::sha1::sig2hex</a>(sig3) &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a> &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a id="l00250" name="l00250"></a><span class="lineno"> 250</span> <span class="comment">// Test with cassert wether sig is correct from expected value</span></div>
<div class="line"><a id="l00251" name="l00251"></a><span class="lineno"> 251</span> assert(hashing::sha1::sig2hex(sig3).<a class="code hl_function" href="../../d4/d7a/shell__sort2_8cpp.html#a7eb77daed2cf1513f6d68c47a1c2db1c">compare</a>(</div>
<div class="line"><a id="l00252" name="l00252"></a><span class="lineno"> 252</span> <span class="stringliteral">&quot;408d94384216f890ff7a0c3528e8bed1e0b01621&quot;</span>) == 0);</div>
<div class="line"><a id="l00253" name="l00253"></a><span class="lineno"> 253</span> </div>
<div class="line"><a id="l00254" name="l00254"></a><span class="lineno"> 254</span> <span class="comment">// Hashes &quot;ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789&quot;</span></div>
<div class="line"><a id="l00255" name="l00255"></a><span class="lineno"> 255</span> <span class="comment">// and stores signature</span></div>
<div class="line"><a id="l00256" name="l00256"></a><span class="lineno"> 256</span> <span class="keywordtype">void</span>* sig4 = <a class="code hl_function" href="../../d8/d7a/sha1_8cpp.html#a2397f2444a05e4d1487c67e215410d3c">hashing::sha1::hash</a>(</div>
<div class="line"><a id="l00257" name="l00257"></a><span class="lineno"> 257</span> <span class="stringliteral">&quot;ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789&quot;</span>);</div>
<div class="line"><a id="l00258" name="l00258"></a><span class="lineno"> 258</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a></div>
<div class="line"><a id="l00259" name="l00259"></a><span class="lineno"> 259</span> &lt;&lt; <span class="stringliteral">&quot;Hashing &quot;</span></div>
<div class="line"><a id="l00260" name="l00260"></a><span class="lineno"> 260</span> <span class="stringliteral">&quot;ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789&quot;</span></div>
<div class="line"><a id="l00261" name="l00261"></a><span class="lineno"> 261</span> &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a id="l00262" name="l00262"></a><span class="lineno"> 262</span> <span class="comment">// Prints signature hex representation</span></div>
<div class="line"><a id="l00263" name="l00263"></a><span class="lineno"> 263</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <a class="code hl_function" href="../../d8/d7a/sha1_8cpp.html#aada0803ef851d831b7a290a924e3c228">hashing::sha1::sig2hex</a>(sig4) &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a> &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a id="l00264" name="l00264"></a><span class="lineno"> 264</span> <span class="comment">// Test with cassert wether sig is correct from expected value</span></div>
<div class="line"><a id="l00265" name="l00265"></a><span class="lineno"> 265</span> assert(hashing::sha1::sig2hex(sig4).<a class="code hl_function" href="../../d4/d7a/shell__sort2_8cpp.html#a7eb77daed2cf1513f6d68c47a1c2db1c">compare</a>(</div>
<div class="line"><a id="l00266" name="l00266"></a><span class="lineno"> 266</span> <span class="stringliteral">&quot;761c457bf73b14d27e9e9265c46f4b4dda11f940&quot;</span>) == 0);</div>
<div class="line"><a id="l00267" name="l00267"></a><span class="lineno"> 267</span>}</div>
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@@ -157,13 +157,13 @@ Functions</h2></td></tr>
<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p >Iterative version of Preorder, Postorder, and preorder <a href="https://en.wikipedia.org/wiki/Tree_traversal" target="_blank">Traversal of the Tree</a> </p>
<dl class="section author"><dt>Author</dt><dd><a href="https://github.com/motasimmakki" target="_blank">Motasim</a></dd></dl>
<h3><a class="anchor" id="autotoc_md82"></a>
<h3><a class="anchor" id="autotoc_md83"></a>
Iterative Preorder Traversal of a tree</h3>
<p >Create a Stack that will store the <a class="el" href="../../db/d8b/struct_node.html">Node</a> of Tree. Push the root node into the stack. Save the root into the variabe named as current, and pop and elemnt from the stack. Store the data of current into the result array, and start traversing from it. Push both the child node of the current node into the stack, first right child then left child. Repeat the same set of steps untill the Stack becomes empty. And return the result array as the preorder traversal of a tree.</p>
<h3><a class="anchor" id="autotoc_md83"></a>
<h3><a class="anchor" id="autotoc_md84"></a>
Iterative Postorder Traversal of a tree</h3>
<p >Create a Stack that will store the <a class="el" href="../../db/d8b/struct_node.html">Node</a> of Tree. Push the root node into the stack. Save the root into the variabe named as current, and pop and elemnt from the stack. Store the data of current into the result array, and start traversing from it. Push both the child node of the current node into the stack, first left child then right child. Repeat the same set of steps untill the Stack becomes empty. Now reverse the result array and then return it to the calling function as a postorder traversal of a tree.</p>
<h3><a class="anchor" id="autotoc_md84"></a>
<h3><a class="anchor" id="autotoc_md85"></a>
Iterative Inorder Traversal of a tree</h3>
<p >Create a Stack that will store the <a class="el" href="../../db/d8b/struct_node.html">Node</a> of Tree. Push the root node into the stack. Save the root into the variabe named as current. Now iterate and take the current to the extreme left of the tree by traversing only to its left. Pop the elemnt from the stack and assign it to the current. Store the data of current into the result array. Repeat the same set of steps until the Stack becomes empty or the current becomes NULL. And return the result array as the inorder traversal of a tree. </p>
</div><h2 class="groupheader">Function Documentation</h2>

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<p >for <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a> and <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a></p>
<p >Mathematical algorithms</p>
<p >Given a recurrence relation; evaluate the value of nth term. For e.g., For fibonacci series, recurrence series is <code>f(n) = f(n-1) + f(n-2)</code> where <code>f(0) = 0</code> and <code>f(1) = 1</code>. Note that the method used only demonstrates recurrence relation with one variable (n), unlike <code>nCr</code> problem, since it has two (n, r)</p>
<h3><a class="anchor" id="autotoc_md75"></a>
<h3><a class="anchor" id="autotoc_md76"></a>
Algorithm</h3>
<p >This problem can be solved using matrix exponentiation method. </p><dl class="section see"><dt>See also</dt><dd>here for simple <a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/math/modular_exponentiation.cpp" target="_blank">number exponentiation algorithm</a> or <a href="https://en.wikipedia.org/wiki/Exponentiation_by_squaring" target="_blank">explaination here</a>. </dd></dl>
<dl class="section author"><dt>Author</dt><dd><a href="https://github.com/AshishYUO" target="_blank">Ashish Daulatabad</a> for assert for IO operations for <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a> STL</dd></dl>

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<p>Functions for the <a href="https://en.wikipedia.org/wiki/SHA-1" target="_blank">SHA-1</a> algorithm implementation.
<a href="../../de/dd3/namespace_s_h_a.html#details">More...</a></p>
<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p >Functions for the <a href="https://en.wikipedia.org/wiki/SHA-1" target="_blank">SHA-1</a> algorithm implementation. </p>
<p >-1 </p>
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</div><!-- fragment --><p >The direction ratios (DR) are calculated as follows: 1st DR, J: (b * z) - (c * y) 2nd DR, A: -((a * z) - (c * x)) 3rd DR, N: (a * y) - (b * x)</p>
<p >Therefore, the direction ratios of the cross product are: J, A, N The following C++ Program calculates the direction ratios of the cross products of two vector. The program uses a function, <a class="el" href="../../df/d66/vector__cross__product_8cpp.html#a225732399c5c076976eae5b180a9f8c9" title="Function to calculate the cross product of the passed arrays containing the direction ratios of the t...">cross()</a> for doing so. The direction ratios for the first and the second vector has to be passed one by one seperated by a space character.</p>
<p >Magnitude of a vector is the square root of the sum of the squares of the direction ratios.</p>
<h3><a class="anchor" id="autotoc_md77"></a>
<h3><a class="anchor" id="autotoc_md78"></a>
Example:</h3>
<p >An example of a running instance of the executable program: </p><pre class="fragment">Pass the first Vector: 1 2 3
</pre><p> Pass the second Vector: 4 5 6 The cross product is: -3 6 -3 Magnitude: 7.34847</p>

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<div class="contents">
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<p ><a href="https://gitpod.io/#https://github.com/TheAlgorithms/C-Plus-Plus" target="_blank"><img src="https://img.shields.io/badge/Gitpod-Ready--to--Code-blue?logo=gitpod" alt="Gitpod Ready-to-Code" class="inline"/></a> <a href="https://lgtm.com/projects/g/TheAlgorithms/C-Plus-Plus/context:cpp" target="_blank"><img src="https://img.shields.io/lgtm/grade/cpp/g/TheAlgorithms/C-Plus-Plus.svg?logo=lgtm&amp;logoWidth=18" alt="Language grade: C/C++" style="pointer-events: none;" class="inline"/></a> <a href="https://github.com/TheAlgorithms/C-Plus-Plus/actions/workflows/codeql_analysis.yml" target="_blank"><img src="https://github.com/TheAlgorithms/C-Plus-Plus/actions/workflows/codeql_analysis.yml/badge.svg" alt="CodeQL CI" style="pointer-events: none;" class="inline"/></a> <a href="https://gitter.im/TheAlgorithms" target="_blank"><img src="https://img.shields.io/badge/Chat-Gitter-ff69b4.svg?label=Chat&amp;logo=gitter&amp;style=flat-square" alt="Gitter chat" style="pointer-events: none;" class="inline"/></a> <a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/CONTRIBUTING.md" target="_blank"><img src="https://img.shields.io/static/v1.svg?label=Contributions&amp;message=Welcome&amp;color=0059b3&amp;style=flat-square" alt="contributions welcome" style="pointer-events: none;" class="inline"/></a> <img src="https://img.shields.io/github/repo-size/TheAlgorithms/C-Plus-Plus?color=red&amp;style=flat-square" alt="GitHub repo size" class="inline"/> <a href="https://TheAlgorithms.github.io/C-Plus-Plus" target="_blank"><img src="https://github.com/TheAlgorithms/C-Plus-Plus/workflows/Doxygen%20CI/badge.svg" alt="Doxygen CI" style="pointer-events: none;" class="inline"/></a> <a href="https://github.com/TheAlgorithms/C-Plus-Plus/actions?query=workflow%3A%22Awesome+CI+Workflow%22" target="_blank"><img src="https://github.com/TheAlgorithms/C-Plus-Plus/workflows/Awesome%20CI%20Workflow/badge.svg" alt="Awesome CI" style="pointer-events: none;" class="inline"/></a> <a href="https://liberapay.com/TheAlgorithms" target="_blank"><img src="https://img.shields.io/liberapay/receives/TheAlgorithms.svg?logo=liberapay" alt="Income" style="pointer-events: none;" class="inline"/></a> <a href="https://discord.gg/c7MnfGFGa6" target="_blank"><img src="https://img.shields.io/discord/808045925556682782.svg?logo=discord&amp;colorB=7289DA" alt="Discord chat" style="pointer-events: none;" class="inline"/></a> <a href="https://liberapay.com/TheAlgorithms/donate" target="_blank"><img src="https://liberapay.com/assets/widgets/donate.svg" alt="Donate" style="pointer-events: none;" class="inline"/></a></p>
<h1><a class="anchor" id="autotoc_md88"></a>
<h1><a class="anchor" id="autotoc_md89"></a>
Overview</h1>
<p >This repository is a collection of open-source implementation of a variety of algorithms implemented in C++ and licensed under <a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/LICENSE" target="_blank">MIT License</a>. These algorithms span a variety of topics from computer science, mathematics and statistics, data science, machine learning, engineering, etc.. The implementations and the associated documentation are meant to provide a learning resource for educators and students. Hence, one may find more than one implementation for the same objective but using a different algorithm strategies and optimizations.</p>
<h1><a class="anchor" id="autotoc_md89"></a>
<h1><a class="anchor" id="autotoc_md90"></a>
Features</h1>
<ul>
<li>The repository provides implementations of various algorithms in one of the most fundamental general purpose languages - <a href="https://en.wikipedia.org/wiki/C%2B%2B" target="_blank">C++</a>.</li>
@@ -109,12 +109,12 @@ Features</h1>
<li>Self-checks within programs ensure correct implementations with confidence.</li>
<li>Modular implementations and OpenSource licensing enable the functions to be utilized conveniently in other applications.</li>
</ul>
<h1><a class="anchor" id="autotoc_md90"></a>
<h1><a class="anchor" id="autotoc_md91"></a>
Documentation</h1>
<p ><a href="https://TheAlgorithms.github.io/C-Plus-Plus" target="_blank">Online Documentation</a> is generated from the repository source codes directly. The documentation contains all resources including source code snippets, details on execution of the programs, diagrammatic representation of program flow, and links to external resources where necessary. The documentation also introduces interactive source code with links to documentation for C++ STL library functions used. Click on <a href="https://TheAlgorithms.github.io/C-Plus-Plus/files.html" target="_blank">Files menu</a> to see the list of all the files documented with the code.</p>
<p ><a href="https://thealgorithms.github.io/C-Plus-Plus" target="_blank">Documentation of Algorithms in C++</a> by <a href="https://github.com/TheAlgorithms/C-Plus-Plus/graphs/contributors" target="_blank">The Algorithms Contributors</a> is licensed under <a href="https://creativecommons.org/licenses/by-sa/4.0/?ref=chooser-v1" target="_blank">CC BY-SA 4.0</a><br />
<a href="https://creativecommons.org/licenses/by-sa/4.0"><img src="https://mirrors.creativecommons.org/presskit/icons/cc.svg" alt="Creative Commons License" style="pointer-events: none; height:22px!important;margin-left: 3px;vertical-align:text-bottom;" class="inline"/><img src="https://mirrors.creativecommons.org/presskit/icons/by.svg" alt="Credit must be given to the creator" style="pointer-events: none; height:22px!important;margin-left: 3px;vertical-align:text-bottom;" class="inline"/><img src="https://mirrors.creativecommons.org/presskit/icons/sa.svg" alt="Adaptations must be shared under the same terms" style="pointer-events: none; height:22px!important;margin-left: 3px;vertical-align:text-bottom;" class="inline"/></a></p>
<h1><a class="anchor" id="autotoc_md91"></a>
<h1><a class="anchor" id="autotoc_md92"></a>
Contributions</h1>
<p >As a community developed and maintained repository, we welcome new un-plagiarized quality contributions. Please read our <a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/CONTRIBUTING.md" target="_blank">Contribution Guidelines</a>. </p>
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<tr id="row_88_3_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><b>this_thread</b></td><td class="desc"></td></tr>
<tr id="row_88_4_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d2/dfc/structstd_1_1is__arithmetic_3_01uint128__t_01_4.html" target="_self">is_arithmetic&lt; uint128_t &gt;</a></td><td class="desc"></td></tr>
<tr id="row_88_5_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="dc/d6d/structstd_1_1is__arithmetic_3_01uint256__t_01_4.html" target="_self">is_arithmetic&lt; uint256_t &gt;</a></td><td class="desc"></td></tr>
<tr id="row_88_6_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d2/dd4/structstd_1_1is__integral_3_01uint128__t_01_4.html" target="_self">is_integral&lt; uint128_t &gt;</a></td><td class="desc"></td></tr>
<tr id="row_88_7_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d7/d47/structstd_1_1is__integral_3_01uint256__t_01_4.html" target="_self">is_integral&lt; uint256_t &gt;</a></td><td class="desc"></td></tr>
<tr id="row_88_8_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d5/d25/structstd_1_1is__unsigned_3_01uint128__t_01_4.html" target="_self">is_unsigned&lt; uint128_t &gt;</a></td><td class="desc"></td></tr>
<tr id="row_88_9_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="df/d99/structstd_1_1is__unsigned_3_01uint256__t_01_4.html" target="_self">is_unsigned&lt; uint256_t &gt;</a></td><td class="desc"></td></tr>
<tr id="row_89_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d8/d1d/namespacestrand.html" target="_self">strand</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Strand_sort" target="_blank">Strand Sort</a> algorithm </td></tr>
<tr id="row_90_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d9/d03/namespacestring__search.html" target="_self">string_search</a></td><td class="desc">String search algorithms </td></tr>
<tr id="row_91_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="df/dcb/namespacestrings.html" target="_self">strings</a></td><td class="desc">Algorithms with strings </td></tr>
<tr id="row_92_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="df/d74/namespacesubarray__sum.html" target="_self">subarray_sum</a></td><td class="desc">Functions for the <a href="https://en.wikipedia.org/wiki/Subset_sum_problem" target="_blank">Subset sum</a> implementation </td></tr>
<tr id="row_93_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d9/def/namespacesublist__search.html" target="_self">sublist_search</a></td><td class="desc">Functions for the <a href="https://www.geeksforgeeks.org/sublist-search-search-a-linked-list-in-another-list" target="_blank">Sublist Search</a> implementation </td></tr>
<tr id="row_94_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="de/d95/namespace_subsets.html" target="_self">Subsets</a></td><td class="desc">Functions for the <a href="https://en.wikipedia.org/wiki/Subset_sum_problem" target="_blank">Subset Sum</a> problem </td></tr>
<tr id="row_95_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d6/dab/namespacetree__234.html" target="_self">tree_234</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/2%E2%80%933%E2%80%934_tree" target="_blank">234 tree</a> </td></tr>
<tr id="row_96_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="df/d8e/namespacetrie__operations.html" target="_self">trie_operations</a></td><td class="desc">Functions for <a href="https://iq.opengenus.org/autocomplete-using-trie-data-structure/" target="_blank">Trie datastructure</a> implementation </td></tr>
<tr id="row_97_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d7/d0a/namespacetrie__using__hashmap.html" target="_self">trie_using_hashmap</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Trie" target="_blank">Trie</a> data structure using hashmap implementation </td></tr>
<tr id="row_98_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d3/d17/namespaceutil__functions.html" target="_self">util_functions</a></td><td class="desc">Various utility functions used in Neural network </td></tr>
<tr id="row_99_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d4/d91/namespacevector__cross.html" target="_self">vector_cross</a></td><td class="desc">Functions for Vector Cross Product algorithms </td></tr>
<tr id="row_100_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d6/da2/namespacevigenere.html" target="_self">vigenere</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Vigen%C3%A8re_cipher" target="_blank">vigenère cipher</a> algorithm </td></tr>
<tr id="row_101_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d9/d21/namespacewave__sort.html" target="_self">wave_sort</a></td><td class="desc">Functions for the <a href="https://www.geeksforgeeks.org/sort-array-wave-form-2/" target="_blank">Wave sort</a> implementation </td></tr>
<tr id="row_102_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d0/d52/namespacewiggle__sort.html" target="_self">wiggle_sort</a></td><td class="desc">Functions for <a href="https://leetcode.com/problems/wiggle-sort-ii/" target="_blank">Wiggle Sort</a> algorithm </td></tr>
<tr id="row_103_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="db/d03/namespacewildcard__matching.html" target="_self">wildcard_matching</a></td><td class="desc">Functions for the <a href="https://www.geeksforgeeks.org/wildcard-pattern-matching/" target="_blank">Wildcard Matching</a> problem </td></tr>
<tr id="row_104_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d6/d53/namespaceword__break.html" target="_self">word_break</a></td><td class="desc">Functions for <a href="https://leetcode.com/problems/word-break/" target="_blank">Word Break</a> problem </td></tr>
<tr id="row_105_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d7/d47/namespace_x_o_r.html" target="_self">XOR</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/XOR_cipher" target="_blank">XOR cipher</a> algorithm </td></tr>
</table>
</div><!-- directory -->
</div><!-- contents -->

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