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<div class="ttc" id="aclass_trie_html_a6d10eb1669453395d1900ebd401954fb"><div class="ttname"><a href="../../dd/d2f/class_trie.html#a6d10eb1669453395d1900ebd401954fb">Trie::hasChildren</a></div><div class="ttdeci">static bool hasChildren(std::shared_ptr&lt; TrieNode &gt; node)</div><div class="ttdef"><b>Definition:</b> trie_modern.cpp:41</div></div>
<div class="ttc" id="aclass_complex_html_a36739619a07b5478bcd8a28ad2f8b7da"><div class="ttname"><a href="../../da/d5a/class_complex.html#a36739619a07b5478bcd8a28ad2f8b7da">Complex::operator-</a></div><div class="ttdeci">Complex operator-(const Complex &amp;other)</div><div class="ttdoc">Operator overload of '-' on Complex class. Operator overload to be able to subtract two complex numbe...</div><div class="ttdef"><b>Definition:</b> complex_numbers.cpp:106</div></div>
<div class="ttc" id="aspirograph_8cpp_html_a3c04138a5bfe5d72780bb7e82a18e627"><div class="ttname"><a href="../../da/d77/spirograph_8cpp.html#a3c04138a5bfe5d72780bb7e82a18e627">main</a></div><div class="ttdeci">int main(int argc, char **argv)</div><div class="ttdef"><b>Definition:</b> spirograph.cpp:268</div></div>
<div class="ttc" id="aclass_complex_html_a466cd7b664cc6a864937ceb3dead1323"><div class="ttname"><a href="../../da/d5a/class_complex.html#a466cd7b664cc6a864937ceb3dead1323">Complex::Complex</a></div><div class="ttdeci">Complex(const Complex &amp;other)</div><div class="ttdoc">Copy Constructor.</div><div class="ttdef"><b>Definition:</b> complex_numbers.cpp:58</div></div>
<div class="ttc" id="aemplace_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/queue/emplace.html">std::queue::emplace</a></div><div class="ttdeci">T emplace(T... args)</div></div>
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<div class="ttc" id="abasic_stringstream_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/basic_stringstream.html">std::stringstream</a></div><div class="ttdoc">STL class.</div></div>
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<div class="ttc" id="akohonen__som__trace_8cpp_html_a9ab8c79ffb674a63f151f282faeb723b"><div class="ttname"><a href="../../d9/d49/kohonen__som__trace_8cpp.html#a9ab8c79ffb674a63f151f282faeb723b">test_3d_classes</a></div><div class="ttdeci">void test_3d_classes(std::vector&lt; std::valarray&lt; double &gt;&gt; *data)</div><div class="ttdef"><b>Definition:</b> kohonen_som_trace.cpp:347</div></div>
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<div class="ttc" id="asetfill_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/manip/setfill.html">std::setfill</a></div><div class="ttdeci">T setfill(T... args)</div></div>
<div class="ttc" id="areverse_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/algorithm/reverse.html">std::reverse</a></div><div class="ttdeci">T reverse(T... args)</div></div>
<div class="ttc" id="aclass_graph_html_aa99d44d3179d5bbbfa84a5031cf80cb1"><div class="ttname"><a href="../../da/d9a/class_graph.html#aa99d44d3179d5bbbfa84a5031cf80cb1">Graph::Graph</a></div><div class="ttdeci">Graph(unsigned int vertices, std::vector&lt; Edge &gt; const &amp;edges)</div><div class="ttdef"><b>Definition:</b> cycle_check_directed_graph.cpp:90</div></div>
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<div class="ttc" id="astruct_entry_html"><div class="ttname"><a href="../../dd/d3b/struct_entry.html">Entry</a></div><div class="ttdef"><b>Definition:</b> double_hash_hash_table.cpp:28</div></div>
<div class="ttc" id="akohonen__som__trace_8cpp_html_a1440a7779ac56f47a3f355ce4a8c7da0"><div class="ttname"><a href="../../d9/d49/kohonen__som__trace_8cpp.html#a1440a7779ac56f47a3f355ce4a8c7da0">test1</a></div><div class="ttdeci">void test1()</div><div class="ttdef"><b>Definition:</b> kohonen_som_trace.cpp:225</div></div>
<div class="ttc" id="aclear_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/basic_ios/clear.html">std::stringstream::clear</a></div><div class="ttdeci">T clear(T... args)</div></div>
<div class="ttc" id="aclasslarge__number_html_ac27b399ed872731758ec33ebb102730e"><div class="ttname"><a href="../../db/d82/classlarge__number.html#ac27b399ed872731758ec33ebb102730e">large_number::operator+=</a></div><div class="ttdeci">large_number &amp; operator+=(large_number n)</div><div class="ttdef"><b>Definition:</b> large_number.h:192</div></div>
<div class="ttc" id="astructquery_html"><div class="ttname"><a href="../../dd/d1b/structquery.html">query</a></div><div class="ttdef"><b>Definition:</b> mo.cpp:6</div></div>
<div class="ttc" id="aordinary__least__squares__regressor_8cpp_html_ab6171f4db68a5e50ae0f3500a63acd26"><div class="ttname"><a href="../../dc/d38/ordinary__least__squares__regressor_8cpp.html#ab6171f4db68a5e50ae0f3500a63acd26">operator*</a></div><div class="ttdeci">std::vector&lt; std::vector&lt; T &gt; &gt; operator*(std::vector&lt; std::vector&lt; T &gt;&gt; const &amp;A, std::vector&lt; std::vector&lt; T &gt;&gt; const &amp;B)</div><div class="ttdef"><b>Definition:</b> ordinary_least_squares_regressor.cpp:74</div></div>
<div class="ttc" id="anamespacespirograph_html"><div class="ttname"><a href="../../da/dd3/namespacespirograph.html">spirograph</a></div></div>
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<div class="ttc" id="afast__power_8cpp_html_a8399b847626e5bba983cab7c7918b445"><div class="ttname"><a href="../../d2/d0b/fast__power_8cpp.html#a8399b847626e5bba983cab7c7918b445">fast_power_recursive</a></div><div class="ttdeci">double fast_power_recursive(T a, T b)</div><div class="ttdef"><b>Definition:</b> fast_power.cpp:26</div></div>
<div class="ttc" id="atie_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/utility/tuple/tie.html">std::tie</a></div><div class="ttdeci">T tie(T... args)</div></div>
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<div class="ttc" id="aclass_trie_html_a6af57e9f25d0d0a2d59eea5a4a802908"><div class="ttname"><a href="../../dd/d2f/class_trie.html#a6af57e9f25d0d0a2d59eea5a4a802908">Trie::Trie</a></div><div class="ttdeci">Trie()</div><div class="ttdoc">constructor to initialise the root of the trie.</div><div class="ttdef"><b>Definition:</b> trie_modern.cpp:103</div></div>
<div class="ttc" id="astructmst_html"><div class="ttname"><a href="../../d1/d77/structmst.html">mst</a></div><div class="ttdef"><b>Definition:</b> prims_minimum_spanning_tree.cpp:9</div></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 class="ttdoc">STL class.</div></div>
<div class="ttc" id="aclass_graph_html_ac85c63bcca4764a621f9f8609a8e5910"><div class="ttname"><a href="../../da/d9a/class_graph.html#ac85c63bcca4764a621f9f8609a8e5910">Graph::addEdge</a></div><div class="ttdeci">void addEdge(unsigned int source, unsigned int destination)</div><div class="ttdef"><b>Definition:</b> cycle_check_directed_graph.cpp:140</div></div>
<div class="ttc" id="amath_2armstrong__number_8cpp_html_ae1a3968e7947464bee7714f6d43b7002"><div class="ttname"><a href="../../d4/d5d/math_2armstrong__number_8cpp.html#ae1a3968e7947464bee7714f6d43b7002">test</a></div><div class="ttdeci">void test()</div><div class="ttdef"><b>Definition:</b> armstrong_number.cpp:59</div></div>
<div class="ttc" id="aclose_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/basic_ofstream/close.html">std::ofstream::close</a></div><div class="ttdeci">T close(T... args)</div></div>
@@ -586,6 +592,7 @@ $(document).ready(function(){initNavTree('d4/d86/large__number_8h_source.html','
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<div class="ttc" id="aclass_complex_html_af8aacf982e2e6c142921bc850f6dc974"><div class="ttname"><a href="../../da/d5a/class_complex.html#af8aacf982e2e6c142921bc850f6dc974">Complex::imag</a></div><div class="ttdeci">double imag() const</div><div class="ttdoc">Member function to get imaginary value of our complex number. Member function (getter) to access the ...</div><div class="ttdef"><b>Definition:</b> complex_numbers.cpp:70</div></div>
<div class="ttc" id="around_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/numeric/math/round.html">std::round</a></div><div class="ttdeci">T round(T... args)</div></div>
<div class="ttc" id="anamespacespirograph_html_a8e83a64e8443fff1e5ffdc1c299c1e99"><div class="ttname"><a href="../../da/dd3/namespacespirograph.html#a8e83a64e8443fff1e5ffdc1c299c1e99">spirograph::test</a></div><div class="ttdeci">void test()</div><div class="ttdoc">Test function to save resulting points to a CSV file.</div><div class="ttdef"><b>Definition:</b> spirograph.cpp:93</div></div>
<div class="ttc" id="aclassqueue_html"><div class="ttname"><a href="../../db/da9/classqueue.html">queue</a></div><div class="ttdef"><b>Definition:</b> queue.h:17</div></div>
<div class="ttc" id="aclasslarge__number_html_a959c5c1a982949bbf98e1ea0f9afe6a9"><div class="ttname"><a href="../../db/d82/classlarge__number.html#a959c5c1a982949bbf98e1ea0f9afe6a9">large_number::test</a></div><div class="ttdeci">static bool test()</div><div class="ttdef"><b>Definition:</b> large_number.h:65</div></div>
<div class="ttc" id="aordinary__least__squares__regressor_8cpp_html_a38ff1d954e9b7de93eb20e2dd101a045"><div class="ttname"><a href="../../dc/d38/ordinary__least__squares__regressor_8cpp.html#a38ff1d954e9b7de93eb20e2dd101a045">fit_OLS_regressor</a></div><div class="ttdeci">std::vector&lt; float &gt; fit_OLS_regressor(std::vector&lt; std::vector&lt; T &gt;&gt; const &amp;X, std::vector&lt; T &gt; const &amp;Y)</div><div class="ttdef"><b>Definition:</b> ordinary_least_squares_regressor.cpp:312</div></div>
@@ -632,6 +639,7 @@ $(document).ready(function(){initNavTree('d4/d86/large__number_8h_source.html','
<div class="ttc" id="aclassstack_html_a066e4505155b009913c47b2648b1067a"><div class="ttname"><a href="../../d1/dc2/classstack.html#a066e4505155b009913c47b2648b1067a">stack::isEmptyStack</a></div><div class="ttdeci">bool isEmptyStack()</div><div class="ttdef"><b>Definition:</b> stack.h:80</div></div>
<div class="ttc" id="aclass_graph_html_a8aa88a88269773cc4dba255dec035898"><div class="ttname"><a href="../../da/d9a/class_graph.html#a8aa88a88269773cc4dba255dec035898">Graph::getVertices</a></div><div class="ttdeci">std::remove_reference_t&lt; unsigned int &gt; const &amp; getVertices() const</div><div class="ttdef"><b>Definition:</b> cycle_check_directed_graph.cpp:112</div></div>
<div class="ttc" id="acomplex_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/numeric/complex.html">std::complex</a></div><div class="ttdoc">STL class.</div></div>
<div class="ttc" id="astr_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/basic_stringstream/str.html">std::stringstream::str</a></div><div class="ttdeci">T str(T... args)</div></div>
<div class="ttc" id="aimag_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/numeric/complex/imag.html">std::complex::imag</a></div><div class="ttdeci">T imag(T... args)</div></div>
<div class="ttc" id="astructlca_html"><div class="ttname"><a href="../../dd/df4/structlca.html">lca</a></div><div class="ttdef"><b>Definition:</b> lca.cpp:10</div></div>
<div class="ttc" id="astring__fibonacci_8cpp_html_a28052eee05d43c2ebc5147c52bd50c35"><div class="ttname"><a href="../../de/d47/string__fibonacci_8cpp.html#a28052eee05d43c2ebc5147c52bd50c35">add</a></div><div class="ttdeci">std::string add(std::string a, std::string b)</div><div class="ttdef"><b>Definition:</b> string_fibonacci.cpp:24</div></div>
@@ -660,6 +668,7 @@ $(document).ready(function(){initNavTree('d4/d86/large__number_8h_source.html','
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<div class="ttc" id="aclass_graph_html_af765dda8f21280e1cecea19e129f1bc5"><div class="ttname"><a href="../../da/d9a/class_graph.html#af765dda8f21280e1cecea19e129f1bc5">Graph::addEdge</a></div><div class="ttdeci">void addEdge(Edge const &amp;edge)</div><div class="ttdef"><b>Definition:</b> cycle_check_directed_graph.cpp:128</div></div>
<div class="ttc" id="afast__power_8cpp_html_a0d4e3f0099a6975b74a314a35bd0f94d"><div class="ttname"><a href="../../d2/d0b/fast__power_8cpp.html#a0d4e3f0099a6975b74a314a35bd0f94d">fast_power_linear</a></div><div class="ttdeci">double fast_power_linear(T a, T b)</div><div class="ttdef"><b>Definition:</b> fast_power.cpp:50</div></div>
<div class="ttc" id="anamespacespirograph_html_aeca22dbe4563358960e907a40cd3e1ac"><div class="ttname"><a href="../../da/dd3/namespacespirograph.html#aeca22dbe4563358960e907a40cd3e1ac">spirograph::spirograph</a></div><div class="ttdeci">void spirograph(std::array&lt; std::pair&lt; double, double &gt;, N &gt; *points, double l, double k, double rot)</div><div class="ttdef"><b>Definition:</b> spirograph.cpp:70</div></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>
<div class="ttc" id="aclass_graph_html_ae30edce9b4e7c6347e67edc343f366d8"><div class="ttname"><a href="../../da/d9a/class_graph.html#ae30edce9b4e7c6347e67edc343f366d8">Graph::Graph</a></div><div class="ttdeci">Graph(unsigned int vertices, AdjList const &amp;adjList)</div><div class="ttdef"><b>Definition:</b> cycle_check_directed_graph.cpp:70</div></div>
<div class="ttc" id="aclasslarge__number_html_ac4fafa6289295419d48d444f0ae4b706"><div class="ttname"><a href="../../db/d82/classlarge__number.html#ac4fafa6289295419d48d444f0ae4b706">large_number::operator++</a></div><div class="ttdeci">large_number &amp; operator++(int)</div><div class="ttdef"><b>Definition:</b> large_number.h:183</div></div>

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@@ -193,6 +193,11 @@ Graph</h1>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/graph/topological_sort_by_kahns_algo.cpp">Topological Sort By Kahns Algo</a></li>
</ul>
<h1><a class="anchor" id="autotoc_md21"></a>
Graphics</h1>
<ul>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/graphics/spirograph.cpp">Spirograph</a></li>
</ul>
<h1><a class="anchor" id="autotoc_md22"></a>
Greedy Algorithms</h1>
<ul>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/greedy_algorithms/dijkstra.cpp">Dijkstra</a></li>
@@ -201,7 +206,7 @@ Greedy Algorithms</h1>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/greedy_algorithms/kruskals_minimum_spanning_tree.cpp">Kruskals Minimum Spanning Tree</a></li>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/greedy_algorithms/prims_minimum_spanning_tree.cpp">Prims Minimum Spanning Tree</a></li>
</ul>
<h1><a class="anchor" id="autotoc_md22"></a>
<h1><a class="anchor" id="autotoc_md23"></a>
Hashing</h1>
<ul>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/hashing/chaining.cpp">Chaining</a></li>
@@ -209,7 +214,7 @@ Hashing</h1>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/hashing/linear_probing_hash_table.cpp">Linear Probing Hash Table</a></li>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/hashing/quadratic_probing_hash_table.cpp">Quadratic Probing Hash Table</a></li>
</ul>
<h1><a class="anchor" id="autotoc_md23"></a>
<h1><a class="anchor" id="autotoc_md24"></a>
Machine Learning</h1>
<ul>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/machine_learning/adaline_learning.cpp">Adaline Learning</a></li>
@@ -217,7 +222,7 @@ Machine Learning</h1>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/machine_learning/kohonen_som_trace.cpp">Kohonen Som Trace</a></li>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/machine_learning/ordinary_least_squares_regressor.cpp">Ordinary Least Squares Regressor</a></li>
</ul>
<h1><a class="anchor" id="autotoc_md24"></a>
<h1><a class="anchor" id="autotoc_md25"></a>
Math</h1>
<ul>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/math/armstrong_number.cpp">Armstrong Number</a></li>
@@ -252,7 +257,7 @@ Math</h1>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/math/string_fibonacci.cpp">String Fibonacci</a></li>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/math/sum_of_digits.cpp">Sum Of Digits</a></li>
</ul>
<h1><a class="anchor" id="autotoc_md25"></a>
<h1><a class="anchor" id="autotoc_md26"></a>
Numerical Methods</h1>
<ul>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/numerical_methods/bisection_method.cpp">Bisection Method</a></li>
@@ -272,7 +277,7 @@ Numerical Methods</h1>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/numerical_methods/qr_eigen_values.cpp">Qr Eigen Values</a></li>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/numerical_methods/successive_approximation.cpp">Successive Approximation</a></li>
</ul>
<h1><a class="anchor" id="autotoc_md26"></a>
<h1><a class="anchor" id="autotoc_md27"></a>
Operations On Datastructures</h1>
<ul>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/operations_on_datastructures/array_left_rotation.cpp">Array Left Rotation</a></li>
@@ -285,7 +290,7 @@ Operations On Datastructures</h1>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/operations_on_datastructures/selectionsortlinkedlist.cpp">Selectionsortlinkedlist</a></li>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/operations_on_datastructures/union_of_2_arrays.cpp">Union Of 2 Arrays</a></li>
</ul>
<h1><a class="anchor" id="autotoc_md27"></a>
<h1><a class="anchor" id="autotoc_md28"></a>
Others</h1>
<ul>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/others/buzz_number.cpp">Buzz Number</a></li>
@@ -306,7 +311,7 @@ Others</h1>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/others/tower_of_hanoi.cpp">Tower Of Hanoi</a></li>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/others/vector_important_functions.cpp">Vector Important Functions</a></li>
</ul>
<h1><a class="anchor" id="autotoc_md28"></a>
<h1><a class="anchor" id="autotoc_md29"></a>
Probability</h1>
<ul>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/probability/addition_rule.cpp">Addition Rule</a></li>
@@ -314,14 +319,14 @@ Probability</h1>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/probability/binomial_dist.cpp">Binomial Dist</a></li>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/probability/poisson_dist.cpp">Poisson Dist</a></li>
</ul>
<h1><a class="anchor" id="autotoc_md29"></a>
<h1><a class="anchor" id="autotoc_md30"></a>
Range Queries</h1>
<ul>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/range_queries/fenwick_tree.cpp">Fenwick Tree</a></li>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/range_queries/mo.cpp">Mo</a></li>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/range_queries/segtree.cpp">Segtree</a></li>
</ul>
<h1><a class="anchor" id="autotoc_md30"></a>
<h1><a class="anchor" id="autotoc_md31"></a>
Search</h1>
<ul>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/search/binary_search.cpp">Binary Search</a></li>
@@ -335,7 +340,7 @@ Search</h1>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/search/ternary_search.cpp">Ternary Search</a></li>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/search/text_search.cpp">Text Search</a></li>
</ul>
<h1><a class="anchor" id="autotoc_md31"></a>
<h1><a class="anchor" id="autotoc_md32"></a>
Sorting</h1>
<ul>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/sorting/bead_sort.cpp">Bead Sort</a></li>
@@ -362,7 +367,7 @@ Sorting</h1>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/sorting/swap_sort.cpp">Swap Sort</a></li>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/sorting/tim_sort.cpp">Tim Sort</a></li>
</ul>
<h1><a class="anchor" id="autotoc_md32"></a>
<h1><a class="anchor" id="autotoc_md33"></a>
Strings</h1>
<ul>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/strings/brute_force_string_searching.cpp">Brute Force String Searching</a></li>

6
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@@ -142,7 +142,7 @@ Test</h3>
<ul>
<li>Make sure to add examples and test cases in your <a class="el" href="../../d7/db9/hill__cipher_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main()</a> function.</li>
<li>If you find any algorithm or document without tests, please feel free to create a pull request or issue describing suggested changes.</li>
<li>Please try to add one or more <code><a class="el" href="../../d4/d5d/math_2armstrong__number_8cpp.html#ae1a3968e7947464bee7714f6d43b7002">test()</a></code> functions that will invoke the algorithm implementation on random test data with expected output. Use <code>assert()</code> function to confirm that the tests will pass.</li>
<li>Please try to add one or more <code><a class="el" href="../../da/dd3/namespacespirograph.html#a8e83a64e8443fff1e5ffdc1c299c1e99" title="Test function to save resulting points to a CSV file.">test()</a></code> functions that will invoke the algorithm implementation on random test data with expected output. Use <code>assert()</code> function to confirm that the tests will pass.</li>
</ul>
<h3><a class="anchor" id="autotoc_md8"></a>
Typical structure of a program:</h3>
@@ -194,7 +194,7 @@ Typical structure of a program:</h3>
<div class="line">}</div>
<div class="line"><span class="comment"></span> </div>
<div class="line"><span class="comment">/** Test function */</span></div>
<div class="line"><span class="keywordtype">void</span> <a class="code" href="../../d4/d5d/math_2armstrong__number_8cpp.html#ae1a3968e7947464bee7714f6d43b7002">test</a>() {</div>
<div class="line"><span class="keywordtype">void</span> <a class="code" href="../../da/dd3/namespacespirograph.html#a8e83a64e8443fff1e5ffdc1c299c1e99">test</a>() {</div>
<div class="line"> <span class="comment">/* some statements */</span></div>
<div class="line"> assert(func(...) == ...); <span class="comment">// this ensures that the algorithm works as expected </span></div>
<div class="line"> </div>
@@ -269,7 +269,7 @@ cpplint</h3>
</div><!-- PageDoc -->
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<div class="ttc" id="ahill__cipher_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../d7/db9/hill__cipher_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdef"><b>Definition:</b> hill_cipher.cpp:532</div></div>
<div class="ttc" id="amath_2armstrong__number_8cpp_html_ae1a3968e7947464bee7714f6d43b7002"><div class="ttname"><a href="../../d4/d5d/math_2armstrong__number_8cpp.html#ae1a3968e7947464bee7714f6d43b7002">test</a></div><div class="ttdeci">void test()</div><div class="ttdef"><b>Definition:</b> armstrong_number.cpp:59</div></div>
<div class="ttc" id="anamespacespirograph_html_a8e83a64e8443fff1e5ffdc1c299c1e99"><div class="ttname"><a href="../../da/dd3/namespacespirograph.html#a8e83a64e8443fff1e5ffdc1c299c1e99">spirograph::test</a></div><div class="ttdeci">void test()</div><div class="ttdoc">Test function to save resulting points to a CSV file.</div><div class="ttdef"><b>Definition:</b> spirograph.cpp:93</div></div>
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<div class="title">spirograph.cpp File Reference</div> </div>
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<p>Implementation of <a href="https://en.wikipedia.org/wiki/Spirograph">Spirograph</a>
<a href="#details">More...</a></p>
<div class="textblock"><code>#include &lt;array&gt;</code><br />
<code>#include &lt;cmath&gt;</code><br />
<code>#include &lt;cstdlib&gt;</code><br />
<code>#include &lt;ctime&gt;</code><br />
<code>#include &lt;fstream&gt;</code><br />
<code>#include &lt;iomanip&gt;</code><br />
<code>#include &lt;iostream&gt;</code><br />
<code>#include &lt;sstream&gt;</code><br />
</div><div class="textblock"><div class="dynheader">
Include dependency graph for spirograph.cpp:</div>
<div class="dyncontent">
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Namespaces</h2></td></tr>
<tr class="memitem:da/dd3/namespacespirograph"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../da/dd3/namespacespirograph.html">spirograph</a></td></tr>
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Macros</h2></td></tr>
<tr class="memitem:a525335710b53cb064ca56b936120431e"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../da/d77/spirograph_8cpp.html#a525335710b53cb064ca56b936120431e">_USE_MATH_DEFINES</a></td></tr>
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Functions</h2></td></tr>
<tr class="memitem:aeca22dbe4563358960e907a40cd3e1ac"><td class="memTemplParams" colspan="2">template&lt;std::size_t N&gt; </td></tr>
<tr class="memitem:aeca22dbe4563358960e907a40cd3e1ac"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="../../da/dd3/namespacespirograph.html#aeca22dbe4563358960e907a40cd3e1ac">spirograph::spirograph</a> (<a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array</a>&lt; <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/utility/pair.html">std::pair</a>&lt; double, double &gt;, N &gt; *points, double l, double k, double rot)</td></tr>
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<tr class="memitem:a8e83a64e8443fff1e5ffdc1c299c1e99"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../da/dd3/namespacespirograph.html#a8e83a64e8443fff1e5ffdc1c299c1e99">spirograph::test</a> ()</td></tr>
<tr class="memdesc:a8e83a64e8443fff1e5ffdc1c299c1e99"><td class="mdescLeft">&#160;</td><td class="mdescRight">Test function to save resulting points to a CSV file. <a href="../../da/dd3/namespacespirograph.html#a8e83a64e8443fff1e5ffdc1c299c1e99">More...</a><br /></td></tr>
<tr class="separator:a8e83a64e8443fff1e5ffdc1c299c1e99"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a3c04138a5bfe5d72780bb7e82a18e627"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../da/d77/spirograph_8cpp.html#a3c04138a5bfe5d72780bb7e82a18e627">main</a> (int argc, char **argv)</td></tr>
<tr class="separator:a3c04138a5bfe5d72780bb7e82a18e627"><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>Implementation of <a href="https://en.wikipedia.org/wiki/Spirograph">Spirograph</a> </p>
<dl class="section author"><dt>Author</dt><dd><a href="https://github.com/kvedala">Krishna Vedala</a></dd></dl>
<p>Implementation of the program is based on the geometry shown in the figure below:</p>
<p><a href="https://commons.wikimedia.org/wiki/File:Resonance_Cascade.svg"><img src="https://upload.wikimedia.org/wikipedia/commons/3/39/Resonance_Cascade.svg" alt="Spirograph geometry from Wikipedia" style="pointer-events: none; width: 250px" class="inline"/></a> </p>
</div><h2 class="groupheader">Macro Definition Documentation</h2>
<a id="a525335710b53cb064ca56b936120431e"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a525335710b53cb064ca56b936120431e">&#9670;&nbsp;</a></span>_USE_MATH_DEFINES</h2>
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<td class="memname">#define _USE_MATH_DEFINES</td>
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<p>required for MSVC compiler </p>
</div>
</div>
<h2 class="groupheader">Function Documentation</h2>
<a id="a3c04138a5bfe5d72780bb7e82a18e627"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a3c04138a5bfe5d72780bb7e82a18e627">&#9670;&nbsp;</a></span>main()</h2>
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<td class="memname">int main </td>
<td>(</td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>argc</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">char **&#160;</td>
<td class="paramname"><em>argv</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
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<p>Main function </p>
<div class="fragment"><div class="line"><a name="l00268"></a><span class="lineno"> 268</span>&#160; {</div>
<div class="line"><a name="l00269"></a><span class="lineno"> 269</span>&#160; <a class="code" href="../../da/dd3/namespacespirograph.html#a8e83a64e8443fff1e5ffdc1c299c1e99">spirograph::test</a>();</div>
<div class="line"><a name="l00270"></a><span class="lineno"> 270</span>&#160; </div>
<div class="line"><a name="l00271"></a><span class="lineno"> 271</span>&#160;<span class="preprocessor">#ifdef USE_GLUT</span></div>
<div class="line"><a name="l00272"></a><span class="lineno"> 272</span>&#160; glutInit(&amp;argc, argv);</div>
<div class="line"><a name="l00273"></a><span class="lineno"> 273</span>&#160; glutInitDisplayMode(GLUT_RGB | GLUT_DOUBLE);</div>
<div class="line"><a name="l00274"></a><span class="lineno"> 274</span>&#160; glutCreateWindow(<span class="stringliteral">&quot;Spirograph&quot;</span>);</div>
<div class="line"><a name="l00275"></a><span class="lineno"> 275</span>&#160; glutInitWindowSize(400, 400);</div>
<div class="line"><a name="l00276"></a><span class="lineno"> 276</span>&#160; <span class="comment">// glutIdleFunc(glutPostRedisplay);</span></div>
<div class="line"><a name="l00277"></a><span class="lineno"> 277</span>&#160; glutTimerFunc(spirograph::animation_speed, spirograph::timer_cb, 0);</div>
<div class="line"><a name="l00278"></a><span class="lineno"> 278</span>&#160; glutKeyboardFunc(spirograph::keyboard_cb);</div>
<div class="line"><a name="l00279"></a><span class="lineno"> 279</span>&#160; glutDisplayFunc(<a class="code" href="../../d7/db9/hill__cipher_8cpp.html#a04391124480d2a49f2dec900237b0712">spirograph::test2</a>);</div>
<div class="line"><a name="l00280"></a><span class="lineno"> 280</span>&#160; glutMainLoop();</div>
<div class="line"><a name="l00281"></a><span class="lineno"> 281</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00282"></a><span class="lineno"> 282</span>&#160; </div>
<div class="line"><a name="l00283"></a><span class="lineno"> 283</span>&#160; <span class="keywordflow">return</span> 0;</div>
<div class="line"><a name="l00284"></a><span class="lineno"> 284</span>&#160;}</div>
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Here is the call graph for this function:</div>
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<div class="ttc" id="ahill__cipher_8cpp_html_a04391124480d2a49f2dec900237b0712"><div class="ttname"><a href="../../d7/db9/hill__cipher_8cpp.html#a04391124480d2a49f2dec900237b0712">test2</a></div><div class="ttdeci">void test2(const std::string &amp;text)</div><div class="ttdoc">Self test 2 - using 8x8 randomly generated key.</div><div class="ttdef"><b>Definition:</b> hill_cipher.cpp:505</div></div>
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<a href="#func-members">Functions</a> </div>
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<div class="title">spirograph Namespace Reference</div> </div>
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
Functions</h2></td></tr>
<tr class="memitem:aeca22dbe4563358960e907a40cd3e1ac"><td class="memTemplParams" colspan="2">template&lt;std::size_t N&gt; </td></tr>
<tr class="memitem:aeca22dbe4563358960e907a40cd3e1ac"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="../../da/dd3/namespacespirograph.html#aeca22dbe4563358960e907a40cd3e1ac">spirograph</a> (<a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array</a>&lt; <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/utility/pair.html">std::pair</a>&lt; double, double &gt;, N &gt; *points, double l, double k, double rot)</td></tr>
<tr class="separator:aeca22dbe4563358960e907a40cd3e1ac"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a8e83a64e8443fff1e5ffdc1c299c1e99"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../da/dd3/namespacespirograph.html#a8e83a64e8443fff1e5ffdc1c299c1e99">test</a> ()</td></tr>
<tr class="memdesc:a8e83a64e8443fff1e5ffdc1c299c1e99"><td class="mdescLeft">&#160;</td><td class="mdescRight">Test function to save resulting points to a CSV file. <a href="../../da/dd3/namespacespirograph.html#a8e83a64e8443fff1e5ffdc1c299c1e99">More...</a><br /></td></tr>
<tr class="separator:a8e83a64e8443fff1e5ffdc1c299c1e99"><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>Functions related to <a class="el" href="../../da/d77/spirograph_8cpp.html" title="Implementation of Spirograph">spirograph.cpp</a> </p>
</div><h2 class="groupheader">Function Documentation</h2>
<a id="aeca22dbe4563358960e907a40cd3e1ac"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aeca22dbe4563358960e907a40cd3e1ac">&#9670;&nbsp;</a></span>spirograph()</h2>
<div class="memitem">
<div class="memproto">
<div class="memtemplate">
template&lt;std::size_t N&gt; </div>
<table class="memname">
<tr>
<td class="memname">void spirograph::spirograph </td>
<td>(</td>
<td class="paramtype"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array</a>&lt; <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/utility/pair.html">std::pair</a>&lt; double, double &gt;, N &gt; *&#160;</td>
<td class="paramname"><em>points</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">double&#160;</td>
<td class="paramname"><em>l</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">double&#160;</td>
<td class="paramname"><em>k</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">double&#160;</td>
<td class="paramname"><em>rot</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<p>Generate spirograph curve into arrays <code>x</code> and <code>y</code> such that the i^th point in 2D is represented by <code>(x[i],y[i])</code>. The generating function is given by: </p><p class="formulaDsp">
\begin{eqnarray*} x &amp;=&amp; R\left[ (1-k) \cos (t) + l\cdot k\cdot\cos \left(\frac{1-k}{k}t\right) \right]\\ y &amp;=&amp; R\left[ (1-k) \sin (t) - l\cdot k\cdot\sin \left(\frac{1-k}{k}t\right) \right] \end{eqnarray*}
</p>
<p> where</p><ul>
<li>\(R\) is the scaling parameter that we will consider \(=1\)</li>
<li>\(l=\frac{\rho}{r}\) is the relative distance of marker from the centre of inner circle and \(0\le l\le1\)</li>
<li>\(\rho\) is physical distance of marker from centre of inner circle</li>
<li>\(r\) is the radius of inner circle</li>
<li>\(k=\frac{r}{R}\) is the ratio of radius of inner circle to outer circle and \(0&lt;k&lt;1\)</li>
<li>\(R\) is the radius of outer circle</li>
<li>\(t\) is the angle of rotation of the point i.e., represents the time parameter</li>
</ul>
<p>Since we are considering ratios, the actual values of \(r\) and \(R\) are immaterial.</p>
<dl class="tparams"><dt>Template Parameters</dt><dd>
<table class="tparams">
<tr><td class="paramname">N</td><td>number of points = size of array </td></tr>
</table>
</dd>
</dl>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramdir">[out]</td><td class="paramname">points</td><td>Array of 2D points represented as <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/utility/pair.html">std::pair</a> </td></tr>
<tr><td class="paramdir"></td><td class="paramname">l</td><td>the relative distance of marker from the centre of inner circle and \(0\le l\le1\) </td></tr>
<tr><td class="paramdir"></td><td class="paramname">k</td><td>the ratio of radius of inner circle to outer circle and \(0&lt;k&lt;1\) </td></tr>
<tr><td class="paramdir"></td><td class="paramname">rot</td><td>the number of rotations to perform (can be fractional value) </td></tr>
</table>
</dd>
</dl>
<div class="fragment"><div class="line"><a name="l00071"></a><span class="lineno"> 71</span>&#160; {</div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>&#160; <span class="keywordtype">double</span> dt = rot * 2.f * M_PI / N;</div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>&#160; <span class="keywordtype">double</span> R = 1.f;</div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>&#160; <span class="keyword">const</span> <span class="keywordtype">double</span> k1 = 1.f - k;</div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>&#160; int32_t step = 0;</div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>&#160; </div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>&#160;<span class="preprocessor">#ifdef _OPENMP</span></div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>&#160;<span class="preprocessor">#pragma omp for</span></div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>&#160; <span class="keywordflow">for</span> (step = 0; step &lt; N; step++) {</div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>&#160; <span class="keywordtype">double</span> t = dt * step;</div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>&#160; <span class="keywordtype">double</span> first = R * (k1 * <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/cos.html">std::cos</a>(t) + l * k * <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/cos.html">std::cos</a>(k1 * t / k));</div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>&#160; <span class="keywordtype">double</span> second = R * (k1 * <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/sin.html">std::sin</a>(t) - l * k * <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/sin.html">std::sin</a>(k1 * t / k));</div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>&#160; points[0][step].first = first;</div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>&#160; points[0][step].second = second;</div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>&#160; }</div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>&#160;}</div>
</div><!-- fragment --><div class="dynheader">
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<h2 class="memtitle"><span class="permalink"><a href="#a8e83a64e8443fff1e5ffdc1c299c1e99">&#9670;&nbsp;</a></span>test()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void spirograph::test </td>
<td>(</td>
<td class="paramname"></td><td>)</td>
<td></td>
</tr>
</table>
</div><div class="memdoc">
<p>Test function to save resulting points to a CSV file. </p>
<div class="fragment"><div class="line"><a name="l00093"></a><span class="lineno"> 93</span>&#160; {</div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>&#160; <span class="keyword">const</span> <span class="keywordtype">size_t</span> N = 500;</div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>&#160; <span class="keywordtype">double</span> l = 0.3, k = 0.75, rot = 10.;</div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_stringstream.html">std::stringstream</a> fname;</div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>&#160; fname &lt;&lt; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/setw.html">std::setw</a>(3) &lt;&lt; <span class="stringliteral">&quot;spirograph_&quot;</span> &lt;&lt; l &lt;&lt; <span class="stringliteral">&quot;_&quot;</span> &lt;&lt; k &lt;&lt; <span class="stringliteral">&quot;_&quot;</span> &lt;&lt; rot</div>
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>&#160; &lt;&lt; <span class="stringliteral">&quot;.csv&quot;</span>;</div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ofstream.html">std::ofstream</a> fp(fname.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_stringstream/str.html">str</a>());</div>
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<tr id="row_6_4_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d0/de2/gaussian__elimination_8cpp.html" target="_self">gaussian_elimination.cpp</a></td><td class="desc"><a href="https://en.wikipedia.org/wiki/Gaussian_elimination">Gaussian elimination method</a> </td></tr>
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<tr id="row_6_6_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="dd/d65/lu__decompose_8cpp.html" target="_self">lu_decompose.cpp</a></td><td class="desc"><a href="https://en.wikipedia.org/wiki/LU_decompositon">LU decomposition</a> of a square matrix </td></tr>
<tr id="row_6_7_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><a href="d1/dbe/lu__decomposition_8h_source.html"><span class="icondoc"></span></a><a class="el" href="d1/dbe/lu__decomposition_8h.html" target="_self">lu_decomposition.h</a></td><td class="desc">Functions associated with <a href="https://en.wikipedia.org/wiki/LU_decomposition">LU Decomposition</a> of a square matrix </td></tr>
<tr id="row_6_8_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="de/dd3/newton__raphson__method_8cpp.html" target="_self">newton_raphson_method.cpp</a></td><td class="desc">Solve the equation \(f(x)=0\) using <a href="https://en.wikipedia.org/wiki/Newton%27s_method">Newton-Raphson method</a> for both real and complex solutions </td></tr>
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<tr id="row_6_10_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d6/dd3/ode__midpoint__euler_8cpp.html" target="_self">ode_midpoint_euler.cpp</a></td><td class="desc">Solve a multivariable first order <a href="https://en.wikipedia.org/wiki/Ordinary_differential_equation">ordinary differential equation (ODEs)</a> using <a href="https://en.wikipedia.org/wiki/Midpoint_method">midpoint Euler method</a> </td></tr>
<tr id="row_6_11_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d3/d06/ode__semi__implicit__euler_8cpp.html" target="_self">ode_semi_implicit_euler.cpp</a></td><td class="desc">Solve a multivariable first order <a href="https://en.wikipedia.org/wiki/Ordinary_differential_equation">ordinary differential equation (ODEs)</a> using <a href="https://en.wikipedia.org/wiki/Semi-implicit_Euler_method">semi implicit Euler method</a> </td></tr>
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<tr id="row_6_13_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d3/d24/qr__decomposition_8cpp.html" target="_self">qr_decomposition.cpp</a></td><td class="desc">Program to compute the <a href="https://en.wikipedia.org/wiki/QR_decomposition">QR decomposition</a> of a given matrix </td></tr>
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<tr id="row_6_15_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="df/dc8/successive__approximation_8cpp.html" target="_self">successive_approximation.cpp</a></td><td class="desc">Method of successive approximations using <a href="https://en.wikipedia.org/wiki/Fixed-point_iteration">fixed-point iteration</a> method </td></tr>
<tr id="row_7_"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_7_" class="arrow" onclick="toggleFolder('7_')">&#9658;</span><span id="img_7_" class="iconfclosed" onclick="toggleFolder('7_')">&#160;</span><a class="el" href="dir_9510827d0b234b3cc54b29892f217477.html" target="_self">others</a></td><td class="desc"></td></tr>
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<tr id="row_8_0_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d6/d4a/addition__rule_8cpp.html" target="_self">addition_rule.cpp</a></td><td class="desc">Addition rule of probabilities </td></tr>
<tr id="row_8_1_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d5/d67/bayes__theorem_8cpp.html" target="_self">bayes_theorem.cpp</a></td><td class="desc"><a href="https://en.wikipedia.org/wiki/Bayes%27_theorem">Bayes' theorem</a> </td></tr>
<tr id="row_8_2_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d6/db0/binomial__dist_8cpp.html" target="_self">binomial_dist.cpp</a></td><td class="desc"><a href="https://en.wikipedia.org/wiki/Binomial_distribution">Binomial distribution</a> example </td></tr>
<tr id="row_8_3_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d9/d24/poisson__dist_8cpp.html" target="_self">poisson_dist.cpp</a></td><td class="desc"><a href="https://en.wikipedia.org/wiki/Poisson_distribution">Poisson statistics</a> </td></tr>
<tr id="row_9_"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_9_" class="arrow" onclick="toggleFolder('9_')">&#9658;</span><span id="img_9_" class="iconfclosed" onclick="toggleFolder('9_')">&#160;</span><a class="el" href="dir_074119ce3a874b57120c49a0cc4bb5ad.html" target="_self">range_queries</a></td><td class="desc"></td></tr>
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<tr id="row_10_0_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="df/dd5/binary__search_8cpp.html" target="_self">binary_search.cpp</a></td><td class="desc"><a href="https://en.wikipedia.org/wiki/Binary_search_algorithm">Binary search algorithm</a> </td></tr>
<tr id="row_10_1_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d8/d8a/exponential__search_8cpp.html" target="_self">exponential_search.cpp</a></td><td class="desc"><a href="https://en.wikipedia.org/wiki/Exponential_search">Exponential search algorithm</a> </td></tr>
<tr id="row_10_2_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="de/d0d/fibonacci__search_8cpp.html" target="_self">fibonacci_search.cpp</a></td><td class="desc"><a href="https://en.wikipedia.org/wiki/Fibonacci_search_technique">Fibonacci search algorithm</a> </td></tr>
<tr id="row_10_3_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d1/df3/hash__search_8cpp.html" target="_self">hash_search.cpp</a></td><td class="desc">Hash Search Algorithm - Best Time Complexity Ω(1) </td></tr>
<tr id="row_10_4_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d9/dd7/interpolation__search_8cpp.html" target="_self">interpolation_search.cpp</a></td><td class="desc"><a href="https://en.wikipedia.org/wiki/Interpolation_search">Interpolation search</a> algorithm </td></tr>
<tr id="row_10_5_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="df/d39/interpolation__search2_8cpp.html" target="_self">interpolation_search2.cpp</a></td><td class="desc"><a href="https://en.wikipedia.org/wiki/Interpolation_search">Interpolation search</a> algorithm </td></tr>
<tr id="row_10_6_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d2/d22/jump__search_8cpp.html" target="_self">jump_search.cpp</a></td><td class="desc">C++ program to implement <a href="https://en.wikipedia.org/wiki/Jump_search">Jump Search</a> </td></tr>
<tr id="row_10_7_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d9/d02/linear__search_8cpp.html" target="_self">linear_search.cpp</a></td><td class="desc"><a href="https://en.wikipedia.org/wiki/Linear_search">Linear search algorithm</a> </td></tr>
<tr id="row_10_8_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d9/d69/median__search_8cpp.html" target="_self">median_search.cpp</a></td><td class="desc"><a href="https://en.wikipedia.org/wiki/Median_search">Median search</a> algorithm </td></tr>
<tr id="row_10_9_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="dc/dfe/ternary__search_8cpp.html" target="_self">ternary_search.cpp</a></td><td class="desc"><a href="https://en.wikipedia.org/wiki/Ternary_search">Ternary search</a> algorithm </td></tr>
<tr id="row_10_10_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="dc/db5/text__search_8cpp.html" target="_self">text_search.cpp</a></td><td class="desc">Search for words in a long textual paragraph </td></tr>
<tr id="row_11_"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_11_" class="arrow" onclick="toggleFolder('11_')">&#9658;</span><span id="img_11_" class="iconfclosed" onclick="toggleFolder('11_')">&#160;</span><a class="el" href="dir_bb1b521853a9c46347182a9d10420771.html" target="_self">sorting</a></td><td class="desc"></td></tr>
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<tr id="row_11_1_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d9/dfd/comb__sort_8cpp.html" target="_self">comb_sort.cpp</a></td><td class="desc"><a href="https://en.wikipedia.org/wiki/Comb_sort">Comb Sort Algorithm (Comb Sort)</a> </td></tr>
<tr id="row_11_2_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d2/d52/heap__sort_8cpp.html" target="_self">heap_sort.cpp</a></td><td class="desc"><a href="https://en.wikipedia.org/wiki/Heapsort">Heap Sort Algorithm (heap sort)</a> implementation </td></tr>
<tr id="row_11_3_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="dd/d0d/insertion__sort_8cpp.html" target="_self">insertion_sort.cpp</a></td><td class="desc"><a href="https://en.wikipedia.org/wiki/Insertion_sort">Insertion Sort Algorithm (Insertion Sort)</a> </td></tr>
<tr id="row_11_4_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d5/df4/merge__sort_8cpp.html" target="_self">merge_sort.cpp</a></td><td class="desc"><a href="https://en.wikipedia.org/wiki/Merge_sort">Merege Sort Algorithm (MEREGE SORT)</a> implementation </td></tr>
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<tr id="row_11_6_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d1/d21/quick__sort_8cpp.html" target="_self">quick_sort.cpp</a></td><td class="desc">Quick sort algorithm </td></tr>
<tr id="row_11_7_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d4/d7a/shell__sort2_8cpp.html" target="_self">shell_sort2.cpp</a></td><td class="desc"><a href="https://en.wikipedia.org/wiki/Shell_sort">Shell sort</a> algorithm </td></tr>
<tr id="row_12_" class="even"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_12_" class="arrow" onclick="toggleFolder('12_')">&#9658;</span><span id="img_12_" class="iconfclosed" onclick="toggleFolder('12_')">&#160;</span><a class="el" href="dir_73a3cc5065b223eb41b02873c0e19f0e.html" target="_self">strings</a></td><td class="desc"></td></tr>
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<tr id="row_6_22_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="df/def/power__for__huge__numbers_8cpp.html" target="_self">power_for_huge_numbers.cpp</a></td><td class="desc">Compute powers of large numbers </td></tr>
<tr id="row_6_23_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="db/d0d/prime__factorization_8cpp.html" target="_self">prime_factorization.cpp</a></td><td class="desc">Prime factorization of positive integers </td></tr>
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<tr id="row_6_26_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d0/d08/realtime__stats_8cpp.html" target="_self">realtime_stats.cpp</a></td><td class="desc">Compute statistics for data entered in rreal-time </td></tr>
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<tr id="row_6_28_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="da/d24/sqrt__double_8cpp.html" target="_self">sqrt_double.cpp</a></td><td class="desc">Calculate the square root of any positive real number in \(O(\log N)\) time, with precision fixed using <a href="https://en.wikipedia.org/wiki/Bisection_method">bisection method</a> of root-finding </td></tr>
<tr id="row_6_29_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="de/d47/string__fibonacci_8cpp.html" target="_self">string_fibonacci.cpp</a></td><td class="desc">This Programme returns the Nth fibonacci as a string </td></tr>
<tr id="row_6_30_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d4/d83/sum__of__digits_8cpp.html" target="_self">sum_of_digits.cpp</a></td><td class="desc">A C++ Program to find the Sum of Digits of input integer </td></tr>
<tr id="row_7_"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_7_" class="arrow" onclick="toggleFolder('7_')">&#9658;</span><span id="img_7_" class="iconfclosed" onclick="toggleFolder('7_')">&#160;</span><a class="el" href="dir_9c6faab82c22511b50177aa2e38e2780.html" target="_self">numerical_methods</a></td><td class="desc"></td></tr>
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<tr id="row_8_" class="even"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_8_" class="arrow" onclick="toggleFolder('8_')">&#9658;</span><span id="img_8_" class="iconfclosed" onclick="toggleFolder('8_')">&#160;</span><a class="el" href="dir_9510827d0b234b3cc54b29892f217477.html" target="_self">others</a></td><td class="desc"></td></tr>
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<tr id="row_8_7_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="da/d9a/palindrome__of__number_8cpp.html" target="_self">palindrome_of_number.cpp</a></td><td class="desc">Check if a number is <a href="https://en.wikipedia.org/wiki/Palindrome">palindrome</a> or not </td></tr>
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<tr id="row_8_12_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d3/d19/sparse__matrix_8cpp.html" target="_self">sparse_matrix.cpp</a></td><td class="desc"></td></tr>
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<tr id="row_9_0_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d6/d4a/addition__rule_8cpp.html" target="_self">addition_rule.cpp</a></td><td class="desc">Addition rule of probabilities </td></tr>
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<tr id="row_9_2_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d6/db0/binomial__dist_8cpp.html" target="_self">binomial_dist.cpp</a></td><td class="desc"><a href="https://en.wikipedia.org/wiki/Binomial_distribution">Binomial distribution</a> example </td></tr>
<tr id="row_9_3_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d9/d24/poisson__dist_8cpp.html" target="_self">poisson_dist.cpp</a></td><td class="desc"><a href="https://en.wikipedia.org/wiki/Poisson_distribution">Poisson statistics</a> </td></tr>
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<tr id="row_10_0_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d6/d2e/fenwick__tree_8cpp.html" target="_self">fenwick_tree.cpp</a></td><td class="desc">Fenwick tree </td></tr>
<tr id="row_11_"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_11_" class="arrow" onclick="toggleFolder('11_')">&#9658;</span><span id="img_11_" class="iconfclosed" onclick="toggleFolder('11_')">&#160;</span><a class="el" href="dir_19b2bf9199a15c634a08b1ede1dd896a.html" target="_self">search</a></td><td class="desc"></td></tr>
<tr id="row_11_0_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="df/dd5/binary__search_8cpp.html" target="_self">binary_search.cpp</a></td><td class="desc"><a href="https://en.wikipedia.org/wiki/Binary_search_algorithm">Binary search algorithm</a> </td></tr>
<tr id="row_11_1_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d8/d8a/exponential__search_8cpp.html" target="_self">exponential_search.cpp</a></td><td class="desc"><a href="https://en.wikipedia.org/wiki/Exponential_search">Exponential search algorithm</a> </td></tr>
<tr id="row_11_2_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="de/d0d/fibonacci__search_8cpp.html" target="_self">fibonacci_search.cpp</a></td><td class="desc"><a href="https://en.wikipedia.org/wiki/Fibonacci_search_technique">Fibonacci search algorithm</a> </td></tr>
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<tr id="row_11_4_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d9/dd7/interpolation__search_8cpp.html" target="_self">interpolation_search.cpp</a></td><td class="desc"><a href="https://en.wikipedia.org/wiki/Interpolation_search">Interpolation search</a> algorithm </td></tr>
<tr id="row_11_5_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="df/d39/interpolation__search2_8cpp.html" target="_self">interpolation_search2.cpp</a></td><td class="desc"><a href="https://en.wikipedia.org/wiki/Interpolation_search">Interpolation search</a> algorithm </td></tr>
<tr id="row_11_6_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d2/d22/jump__search_8cpp.html" target="_self">jump_search.cpp</a></td><td class="desc">C++ program to implement <a href="https://en.wikipedia.org/wiki/Jump_search">Jump Search</a> </td></tr>
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<tr id="row_11_9_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="dc/dfe/ternary__search_8cpp.html" target="_self">ternary_search.cpp</a></td><td class="desc"><a href="https://en.wikipedia.org/wiki/Ternary_search">Ternary search</a> algorithm </td></tr>
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</li>
<li>mat_mul()
: <a class="el" href="de/d75/qr__eigen__values_8cpp.html#a7558fd7779bf207157ced66f275951a0">qr_eigen_values.cpp</a>

6
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<li>Sieve()
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</li>
<li>mat_mul()
: <a class="el" href="de/d75/qr__eigen__values_8cpp.html#a7558fd7779bf207157ced66f275951a0">qr_eigen_values.cpp</a>

6
globals_s.html
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@@ -124,12 +124,12 @@ $(document).ready(function(){initNavTree('globals_s.html',''); initResizable();
<li>show_pascal()
: <a class="el" href="dc/d1a/pascal__triangle_8cpp.html#ad7a31d9cb2818d21b1ba12aead7f4c5c">pascal_triangle.cpp</a>
</li>
<li>sieve()
: <a class="el" href="d8/ddf/sieve__of__eratosthenes_8cpp.html#a1e606c2e5ac180a770ebe0d1706b8ca2">sieve_of_eratosthenes.cpp</a>
</li>
<li>Sieve()
: <a class="el" href="d4/d9c/primes__up__to__billion_8cpp.html#a031cada84819ed6426f58e4f7e81261c">primes_up_to_billion.cpp</a>
</li>
<li>sieve()
: <a class="el" href="d8/ddf/sieve__of__eratosthenes_8cpp.html#a1e606c2e5ac180a770ebe0d1706b8ca2">sieve_of_eratosthenes.cpp</a>
</li>
<li>SieveOfEratosthenes()
: <a class="el" href="db/d0d/prime__factorization_8cpp.html#affe577b9bce8f604f5e2f861c63c7099">prime_factorization.cpp</a>
</li>

8
index.html
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@@ -96,10 +96,10 @@ $(document).ready(function(){initNavTree('index.html',''); initResizable(); });
<div class="contents">
<div class="textblock"><p><a class="anchor" id="mainpage"></a></p>
<p><a href="https://gitpod.io/#https://github.com/TheAlgorithms/C-Plus-Plus"><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"><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://gitter.im/TheAlgorithms"><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"><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"><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"><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></p>
<h1><a class="anchor" id="autotoc_md35"></a>
<h1><a class="anchor" id="autotoc_md36"></a>
Overview</h1>
<p>The 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">MIT License</a>. The 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_md36"></a>
<h1><a class="anchor" id="autotoc_md37"></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">C++</a>.</li>
@@ -110,12 +110,12 @@ 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_md37"></a>
<h1><a class="anchor" id="autotoc_md38"></a>
Documentation</h1>
<p><a href="https://TheAlgorithms.github.io/C-Plus-Plus">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">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">Documentation of Algorithms in C++</a> by <a href="https://github.com/TheAlgorithms/C-Plus-Plus/graphs/contributors">The Algorithms Contributors</a> is licensed under <a href="https://creativecommons.org/licenses/by-sa/4.0/?ref=chooser-v1">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_md38"></a>
<h1><a class="anchor" id="autotoc_md39"></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">Contribution Guidelines</a>. </p>
</div></div><!-- PageDoc -->

19
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10
namespacemembers.html
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@@ -198,12 +198,22 @@ $(document).ready(function(){initNavTree('namespacemembers.html',''); initResiza
<li>shell_sort()
: <a class="el" href="d5/d91/namespacesorting.html#a5669396c6a6b1e14b97589b6e37980aa">sorting</a>
</li>
<li>spirograph()
: <a class="el" href="da/dd3/namespacespirograph.html#aeca22dbe4563358960e907a40cd3e1ac">spirograph</a>
</li>
<li>STRKEY
: <a class="el" href="d6/d4e/namespaceciphers.html#ab9aec0ccf4b6809f652bb540be87c216">ciphers</a>
</li>
</ul>
<h3><a id="index_t"></a>- t -</h3><ul>
<li>test()
: <a class="el" href="da/dd3/namespacespirograph.html#a8e83a64e8443fff1e5ffdc1c299c1e99">spirograph</a>
</li>
</ul>
<h3><a id="index_u"></a>- u -</h3><ul>
<li>update_weights()
: <a class="el" href="d8/d77/namespacemachine__learning.html#ac4010fe3a52a74e8b5b1aaadfe38b46f">machine_learning</a>

72
namespacemembers_func.html
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<div class="contents">
&#160;<ul>
&#160;
<h3><a id="index_b"></a>- b -</h3><ul>
<li>brute_force()
: <a class="el" href="d9/d03/namespacestring__search.html#aeb2cd81064717aedd62bfb096b1a73d8">string_search</a>
</li>
</ul>
<h3><a id="index_c"></a>- c -</h3><ul>
<li>check_if_equal()
: <a class="el" href="d9/d03/namespacestring__search.html#aebe07cea289a13142503d98be7df11fd">string_search</a>
</li>
<li>create_hash()
: <a class="el" href="d9/d03/namespacestring__search.html#a8fb0bc932ba8b582c9f4c71338d050f8">string_search</a>
</li>
</ul>
<h3><a id="index_e"></a>- e -</h3><ul>
<li>eigen_values()
: <a class="el" href="d2/d3b/namespaceqr__algorithm.html#a763896dbb4a7e95c4a1e614ac0819d66">qr_algorithm</a>
</li>
</ul>
<h3><a id="index_g"></a>- g -</h3><ul>
<li>getFailureArray()
: <a class="el" href="d9/d03/namespacestring__search.html#aa422aab133d4ed5e5d6022a7f701271f">string_search</a>
</li>
</ul>
<h3><a id="index_i"></a>- i -</h3><ul>
<li>insertionSort()
: <a class="el" href="d5/d91/namespacesorting.html#a78cb2f3b97b6db2c062b2a1df05c9ea9">sorting</a>
</li>
</ul>
<h3><a id="index_k"></a>- k -</h3><ul>
<li>kmp()
: <a class="el" href="d9/d03/namespacestring__search.html#a26a58225ce7d3fa9d4c2f5349a65ed93">string_search</a>
</li>
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<li>kohonen_som_tracer()
: <a class="el" href="d8/d77/namespacemachine__learning.html#acc6a28f40512dbda75ab1a3969248898">machine_learning</a>
</li>
</ul>
<h3><a id="index_m"></a>- m -</h3><ul>
<li>merge()
: <a class="el" href="d5/d91/namespacesorting.html#aa26de383227859210f14dcf12201a079">sorting</a>
</li>
</ul>
<h3><a id="index_n"></a>- n -</h3><ul>
<li>non_recursive_merge_sort()
: <a class="el" href="d5/d91/namespacesorting.html#a140d913e42fb94176a0b2c8b29a80420">sorting</a>
</li>
</ul>
<h3><a id="index_o"></a>- o -</h3><ul>
<li>operator&lt;&lt;()
: <a class="el" href="d2/d3b/namespaceqr__algorithm.html#a7c63c78d6839b8ad73b77c161210b514">qr_algorithm</a>
</li>
</ul>
<h3><a id="index_p"></a>- p -</h3><ul>
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