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<p>C++ Program for Modular Exponentiation Iteratively.
<a href="#details">More...</a></p>
<div class="textblock"><code>#include &lt;cassert&gt;</code><br />
<code>#include &lt;iostream&gt;</code><br />
</div><div class="textblock"><div class="dynheader">
Include dependency graph for modular_exponentiation.cpp:</div>
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<tr class="memdesc:dd/d47/namespacemath"><td class="mdescLeft">&#160;</td><td class="mdescRight">for <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html" title="STL class.">std::vector</a> <br /></td></tr>
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Functions</h2></td></tr>
<tr class="memitem:afcd07701d73ed65cd616bcba02737f3d"><td class="memItemLeft" align="right" valign="top">uint64_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../dd/d47/namespacemath.html#afcd07701d73ed65cd616bcba02737f3d">math::power</a> (uint64_t a, uint64_t b, uint64_t c)</td></tr>
<tr class="memdesc:afcd07701d73ed65cd616bcba02737f3d"><td class="mdescLeft">&#160;</td><td class="mdescRight">This function calculates a raised to exponent b under modulo c using modular exponentiation. <a href="../../dd/d47/namespacemath.html#afcd07701d73ed65cd616bcba02737f3d">More...</a><br /></td></tr>
<tr class="separator:afcd07701d73ed65cd616bcba02737f3d"><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="../../d0/d6d/modular__exponentiation_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a> ()</td></tr>
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<tr class="memitem:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d0/d6d/modular__exponentiation_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a> ()</td></tr>
<tr class="memdesc:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="mdescLeft">&#160;</td><td class="mdescRight">Main function. <a href="../../d0/d6d/modular__exponentiation_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">More...</a><br /></td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p>C++ Program for Modular Exponentiation Iteratively. </p>
<p>The task is to calculate the value of an integer a raised to an integer exponent b under modulo c. </p><dl class="section note"><dt>Note</dt><dd>The time complexity of this approach is O(log b).</dd></dl>
<p>Example: (4^3) % 5 (where ^ stands for exponentiation and % for modulo) (4*4*4) % 5 (4 % 5) * ( (4*4) % 5 ) 4 * (16 % 5) 4 * 1 4 We can also verify the result as 4^3 is 64 and 64 modulo 5 is 4</p>
<dl class="section author"><dt>Author</dt><dd><a href="https://github.com/Shri2206">Shri2206</a> </dd></dl>
</div><h2 class="groupheader">Function Documentation</h2>
<a id="ae66f6b31b5ad750f1fe042a706a4e3d4"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ae66f6b31b5ad750f1fe042a706a4e3d4">&#9670;&nbsp;</a></span>main()</h2>
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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 name="l00086"></a><span class="lineno"> 86</span>&#160; {</div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>&#160; <a class="code" href="../../d0/d6d/modular__exponentiation_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>(); <span class="comment">// execute the tests</span></div>
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>&#160; <span class="keywordflow">return</span> 0;</div>
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>&#160;}</div>
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<p>Function for testing power function. test cases and assert statement. </p><dl class="section return"><dt>Returns</dt><dd><code>void</code> </dd></dl>
<div class="fragment"><div class="line"><a name="l00060"></a><span class="lineno"> 60</span>&#160; {</div>
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<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>&#160; </div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>&#160; uint32_t test_case_2 = <a class="code" href="../../dd/d47/namespacemath.html#afcd07701d73ed65cd616bcba02737f3d">math::power</a>(14, 7, 15);</div>
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<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>&#160; </div>
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<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>&#160; </div>
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<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>&#160; </div>
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<h2 class="memtitle"><span class="permalink"><a href="#afcd07701d73ed65cd616bcba02737f3d">&#9670;&nbsp;</a></span>power()</h2>
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<p>This function calculates a raised to exponent b under modulo c using modular exponentiation. </p>
<dl class="params"><dt>Parameters</dt><dd>
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<dl class="section return"><dt>Returns</dt><dd>a raised to power b modulo c </dd></dl>
<p>Initialize the answer to be returned</p>
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<p>In case a is divisible by c;</p>
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<div class="fragment"><div class="line"><a name="l00035"></a><span class="lineno"> 35</span>&#160; {</div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>&#160; uint64_t <a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#ad8389ed58fd0ec66df248014775ad1fa">ans</a> = 1; <span class="comment">/// Initialize the answer to be returned</span></div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>&#160;<span class="comment"></span> a = a % c; <span class="comment">/// Update a if it is more than or equal to c</span></div>
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<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>&#160; <span class="keywordflow">return</span> 0; <span class="comment">/// In case a is divisible by c;</span></div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>&#160;<span class="comment"></span> }</div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>&#160; <span class="keywordflow">while</span> (b &gt; 0) {<span class="comment"></span></div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>&#160;<span class="comment"> /// If b is odd, multiply a with answer</span></div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>&#160;<span class="comment"></span> <span class="keywordflow">if</span> (b &amp; 1) {</div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>&#160; <a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#ad8389ed58fd0ec66df248014775ad1fa">ans</a> = ((<a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#ad8389ed58fd0ec66df248014775ad1fa">ans</a> % c) * (a % c)) % c;</div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>&#160; }<span class="comment"></span></div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>&#160;<span class="comment"> /// b must be even now</span></div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>&#160;<span class="comment"></span> b = b &gt;&gt; 1; <span class="comment">/// b = b/2</span></div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>&#160;<span class="comment"></span> a = ((a % c) * (a % c)) % c;</div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>&#160; }</div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>&#160; <span class="keywordflow">return</span> <a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#ad8389ed58fd0ec66df248014775ad1fa">ans</a>;</div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>&#160;}</div>
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<tr class="memdesc:d8/d53/modular__inverse__fermat__little__theorem_8cpp"><td class="mdescLeft">&#160;</td><td class="mdescRight">C++ Program to find the modular inverse using <a href="https://en.wikipedia.org/wiki/Fermat%27s_little_theorem">Fermat's Little Theorem</a> <br /></td></tr>
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, <a class="el" href="d5/d83/lcm__sum_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">lcm_sum.cpp</a>
, <a class="el" href="d2/d52/heap__sort_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">heap_sort.cpp</a>
, <a class="el" href="d2/d21/gnome__sort_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">gnome_sort.cpp</a>
, <a class="el" href="d6/dce/rabin__karp_8cpp.html#a840291bc02cba5474a4cb46a9b9566fe">rabin_karp.cpp</a>
, <a class="el" href="de/d6a/knuth__morris__pratt_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">knuth_morris_pratt.cpp</a>
, <a class="el" href="d3/dfe/horspool_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">horspool.cpp</a>
@@ -119,15 +119,15 @@ $(document).ready(function(){initNavTree('globals_func_m.html',''); initResizabl
, <a class="el" href="d1/d21/quick__sort_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">quick_sort.cpp</a>
, <a class="el" href="dd/da8/pigeonhole__sort_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">pigeonhole_sort.cpp</a>
, <a class="el" href="d3/d92/pancake__sort_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">pancake_sort.cpp</a>
, <a class="el" href="dd/d0d/insertion__sort_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">insertion_sort.cpp</a>
, <a class="el" href="d4/d21/least__common__multiple_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">least_common_multiple.cpp</a>
, <a class="el" href="de/d7b/merge__insertion__sort_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">merge_insertion_sort.cpp</a>
, <a class="el" href="d5/d4c/group__sorting.html#gae66f6b31b5ad750f1fe042a706a4e3d4">merge_sort.cpp</a>
, <a class="el" href="d2/d52/heap__sort_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">heap_sort.cpp</a>
, <a class="el" href="d4/d21/least__common__multiple_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">least_common_multiple.cpp</a>
, <a class="el" href="dd/d0d/insertion__sort_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">insertion_sort.cpp</a>
, <a class="el" href="de/d7b/merge__insertion__sort_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">merge_insertion_sort.cpp</a>
, <a class="el" href="d3/dce/linkedlist__implentation__usingarray_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">linkedlist_implentation_usingarray.cpp</a>
, <a class="el" href="dd/d0c/hamiltons__cycle_8cpp.html#a3c04138a5bfe5d72780bb7e82a18e627">hamiltons_cycle.cpp</a>
, <a class="el" href="d9/d44/magic__number_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">magic_number.cpp</a>
, <a class="el" href="d6/d42/miller__rabin_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">miller_rabin.cpp</a>
, <a class="el" href="dc/db5/text__search_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">text_search.cpp</a>
, <a class="el" href="dc/dfe/ternary__search_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">ternary_search.cpp</a>
, <a class="el" href="d9/d69/median__search_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">median_search.cpp</a>
, <a class="el" href="d9/d02/linear__search_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">linear_search.cpp</a>
@@ -183,9 +183,10 @@ $(document).ready(function(){initNavTree('globals_func_m.html',''); initResizabl
, <a class="el" href="de/d9b/prime__numbers_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">prime_numbers.cpp</a>
, <a class="el" href="db/d0d/prime__factorization_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">prime_factorization.cpp</a>
, <a class="el" href="df/def/power__for__huge__numbers_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">power_for_huge_numbers.cpp</a>
, <a class="el" href="d1/d9a/hopcroft__karp_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">hopcroft_karp.cpp</a>
, <a class="el" href="d8/d53/modular__inverse__fermat__little__theorem_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">modular_inverse_fermat_little_theorem.cpp</a>
, <a class="el" href="d0/da2/number__of__positive__divisors_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">number_of_positive_divisors.cpp</a>
, <a class="el" href="d1/d9a/hopcroft__karp_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">hopcroft_karp.cpp</a>
, <a class="el" href="d0/d6d/modular__exponentiation_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">modular_exponentiation.cpp</a>
, <a class="el" href="d8/d53/modular__inverse__fermat__little__theorem_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">modular_inverse_fermat_little_theorem.cpp</a>
, <a class="el" href="d6/d2c/caesar__cipher_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">caesar_cipher.cpp</a>
, <a class="el" href="df/dd0/queue__using__two__stacks_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">queue_using_two_stacks.cpp</a>
, <a class="el" href="d6/dd8/is__graph__bipartite_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">is_graph_bipartite.cpp</a>

53
globals_func_t.html
View File

@@ -101,9 +101,10 @@ $(document).ready(function(){initNavTree('globals_func_t.html',''); initResizabl
, <a class="el" href="d8/d76/morse__code_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">morse_code.cpp</a>
, <a class="el" href="db/d16/0__1__knapsack_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">0_1_knapsack.cpp</a>
, <a class="el" href="d2/d58/neural__network_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">neural_network.cpp</a>
, <a class="el" href="d3/d92/pancake__sort_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">pancake_sort.cpp</a>
, <a class="el" href="dc/dd9/strand__sort_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">strand_sort.cpp</a>
, <a class="el" href="d5/d4c/group__sorting.html#gaa8dca7b867074164d5f45b0f3851269d">wiggle_sort.cpp</a>
, <a class="el" href="d4/d5d/math_2armstrong__number_8cpp.html#ae1a3968e7947464bee7714f6d43b7002">armstrong_number.cpp</a>
, <a class="el" href="d5/d4c/group__sorting.html#gaa8dca7b867074164d5f45b0f3851269d">wiggle_sort.cpp</a>
, <a class="el" href="d3/dfe/horspool_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">horspool.cpp</a>
, <a class="el" href="d6/d10/cut__rod_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">cut_rod.cpp</a>
, <a class="el" href="d5/df6/check__amicable__pair_8cpp.html#ae1a3968e7947464bee7714f6d43b7002">check_amicable_pair.cpp</a>
@@ -113,23 +114,23 @@ $(document).ready(function(){initNavTree('globals_func_t.html',''); initResizabl
, <a class="el" href="d9/d89/fibonacci_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">fibonacci.cpp</a>
, <a class="el" href="d5/d83/lcm__sum_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">lcm_sum.cpp</a>
, <a class="el" href="d7/d65/shortest__common__supersequence_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">shortest_common_supersequence.cpp</a>
, <a class="el" href="d0/d6d/modular__exponentiation_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">modular_exponentiation.cpp</a>
, <a class="el" href="d4/d9d/sum__of__binomial__coefficient_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">sum_of_binomial_coefficient.cpp</a>
, <a class="el" href="d4/d83/sum__of__digits_8cpp.html#ae1a3968e7947464bee7714f6d43b7002">sum_of_digits.cpp</a>
, <a class="el" href="d6/d2c/caesar__cipher_8cpp.html#ae1a3968e7947464bee7714f6d43b7002">caesar_cipher.cpp</a>
, <a class="el" href="d3/d4c/xor__cipher_8cpp.html#ae1a3968e7947464bee7714f6d43b7002">xor_cipher.cpp</a>
, <a class="el" href="d3/d84/word__break_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">word_break.cpp</a>
, <a class="el" href="d4/d83/sum__of__digits_8cpp.html#ae1a3968e7947464bee7714f6d43b7002">sum_of_digits.cpp</a>
, <a class="el" href="d0/d01/smallest__circle_8cpp.html#ae1a3968e7947464bee7714f6d43b7002">smallest_circle.cpp</a>
, <a class="el" href="d9/d69/median__search_8cpp.html#ae1a3968e7947464bee7714f6d43b7002">median_search.cpp</a>
, <a class="el" href="d4/d8d/jarvis__algorithm_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">jarvis_algorithm.cpp</a>
, <a class="el" href="d9/d69/median__search_8cpp.html#ae1a3968e7947464bee7714f6d43b7002">median_search.cpp</a>
, <a class="el" href="d5/ddb/bogo__sort_8cpp.html#ae1a3968e7947464bee7714f6d43b7002">bogo_sort.cpp</a>
, <a class="el" href="de/d07/cycle__sort_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">cycle_sort.cpp</a>
, <a class="el" href="d7/d83/trie__tree_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">trie_tree.cpp</a>
, <a class="el" href="d6/dd8/is__graph__bipartite_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">is_graph_bipartite.cpp</a>
, <a class="el" href="de/d07/cycle__sort_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">cycle_sort.cpp</a>
, <a class="el" href="d2/d21/gnome__sort_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">gnome_sort.cpp</a>
, <a class="el" href="d2/d52/heap__sort_8cpp.html#ae1a3968e7947464bee7714f6d43b7002">heap_sort.cpp</a>
, <a class="el" href="df/d64/jumpgame_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">jumpgame.cpp</a>
, <a class="el" href="d2/d52/heap__sort_8cpp.html#ae1a3968e7947464bee7714f6d43b7002">heap_sort.cpp</a>
, <a class="el" href="de/d7b/merge__insertion__sort_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">merge_insertion_sort.cpp</a>
, <a class="el" href="d3/d92/pancake__sort_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">pancake_sort.cpp</a>
</li>
<li>test1()
: <a class="el" href="d7/db9/hill__cipher_8cpp.html#a3147ad576f8a94a2a6b66948672b452b">hill_cipher.cpp</a>
@@ -146,28 +147,28 @@ $(document).ready(function(){initNavTree('globals_func_t.html',''); initResizabl
, <a class="el" href="de/d75/qr__eigen__values_8cpp.html#a1440a7779ac56f47a3f355ce4a8c7da0">qr_eigen_values.cpp</a>
</li>
<li>test2()
: <a class="el" href="d0/d01/smallest__circle_8cpp.html#a0283886819c7c140a023582b7269e2d0">smallest_circle.cpp</a>
: <a class="el" href="de/d75/qr__eigen__values_8cpp.html#a0283886819c7c140a023582b7269e2d0">qr_eigen_values.cpp</a>
, <a class="el" href="d7/db9/hill__cipher_8cpp.html#a04391124480d2a49f2dec900237b0712">hill_cipher.cpp</a>
, <a class="el" href="dd/d0c/hamiltons__cycle_8cpp.html#a45d94ead4cf4e1ff9f87c38bc99f59ae">hamiltons_cycle.cpp</a>
, <a class="el" href="d5/db0/adaline__learning_8cpp.html#a379f7488a305f2571f2932b319931f82">adaline_learning.cpp</a>
, <a class="el" href="da/df2/durand__kerner__roots_8cpp.html#a0283886819c7c140a023582b7269e2d0">durand_kerner_roots.cpp</a>
, <a class="el" href="db/d01/brent__method__extrema_8cpp.html#a0283886819c7c140a023582b7269e2d0">brent_method_extrema.cpp</a>
, <a class="el" href="d4/def/kohonen__som__topology_8cpp.html#a0283886819c7c140a023582b7269e2d0">kohonen_som_topology.cpp</a>
, <a class="el" href="d9/d49/kohonen__som__trace_8cpp.html#a0283886819c7c140a023582b7269e2d0">kohonen_som_trace.cpp</a>
, <a class="el" href="d6/d9d/large__factorial_8cpp.html#a76aae4778fbe89a3d59fd61fbc050cfa">large_factorial.cpp</a>
, <a class="el" href="d4/d83/sum__of__digits_8cpp.html#a0283886819c7c140a023582b7269e2d0">sum_of_digits.cpp</a>
, <a class="el" href="db/d01/brent__method__extrema_8cpp.html#a0283886819c7c140a023582b7269e2d0">brent_method_extrema.cpp</a>
, <a class="el" href="da/df2/durand__kerner__roots_8cpp.html#a0283886819c7c140a023582b7269e2d0">durand_kerner_roots.cpp</a>
, <a class="el" href="d6/d7a/golden__search__extrema_8cpp.html#a0283886819c7c140a023582b7269e2d0">golden_search_extrema.cpp</a>
, <a class="el" href="dd/d65/lu__decompose_8cpp.html#a0283886819c7c140a023582b7269e2d0">lu_decompose.cpp</a>
, <a class="el" href="de/d75/qr__eigen__values_8cpp.html#a0283886819c7c140a023582b7269e2d0">qr_eigen_values.cpp</a>
, <a class="el" href="d0/d01/smallest__circle_8cpp.html#a0283886819c7c140a023582b7269e2d0">smallest_circle.cpp</a>
</li>
<li>test3()
: <a class="el" href="db/d01/brent__method__extrema_8cpp.html#a6d0455dd5c30adda100e95f0423c786e">brent_method_extrema.cpp</a>
: <a class="el" href="d9/d49/kohonen__som__trace_8cpp.html#a6d0455dd5c30adda100e95f0423c786e">kohonen_som_trace.cpp</a>
, <a class="el" href="db/d01/brent__method__extrema_8cpp.html#a6d0455dd5c30adda100e95f0423c786e">brent_method_extrema.cpp</a>
, <a class="el" href="d6/d7a/golden__search__extrema_8cpp.html#a6d0455dd5c30adda100e95f0423c786e">golden_search_extrema.cpp</a>
, <a class="el" href="d0/d01/smallest__circle_8cpp.html#a6d0455dd5c30adda100e95f0423c786e">smallest_circle.cpp</a>
, <a class="el" href="d9/d49/kohonen__som__trace_8cpp.html#a6d0455dd5c30adda100e95f0423c786e">kohonen_som_trace.cpp</a>
, <a class="el" href="d4/def/kohonen__som__topology_8cpp.html#a6d0455dd5c30adda100e95f0423c786e">kohonen_som_topology.cpp</a>
, <a class="el" href="dd/d0c/hamiltons__cycle_8cpp.html#a0cc94918b6831f308d4fe4fa27f08299">hamiltons_cycle.cpp</a>
, <a class="el" href="d5/db0/adaline__learning_8cpp.html#a992bdf1fdb0b9d414bcf7981d2d87aa9">adaline_learning.cpp</a>
, <a class="el" href="d4/def/kohonen__som__topology_8cpp.html#a6d0455dd5c30adda100e95f0423c786e">kohonen_som_topology.cpp</a>
</li>
<li>test_1()
: <a class="el" href="d2/de9/heavy__light__decomposition_8cpp.html#a34b8683a2b429de5cce57e6d733ec817">heavy_light_decomposition.cpp</a>
@@ -181,8 +182,8 @@ $(document).ready(function(){initNavTree('globals_func_t.html',''); initResizabl
: <a class="el" href="d4/def/kohonen__som__topology_8cpp.html#a6b5e744876fd980a3451cbb385d4e755">kohonen_som_topology.cpp</a>
</li>
<li>test_3()
: <a class="el" href="d2/de9/heavy__light__decomposition_8cpp.html#af31ec5409537703d9c8a47350386b32a">heavy_light_decomposition.cpp</a>
, <a class="el" href="dd/da8/pigeonhole__sort_8cpp.html#af31ec5409537703d9c8a47350386b32a">pigeonhole_sort.cpp</a>
: <a class="el" href="dd/da8/pigeonhole__sort_8cpp.html#af31ec5409537703d9c8a47350386b32a">pigeonhole_sort.cpp</a>
, <a class="el" href="d2/de9/heavy__light__decomposition_8cpp.html#af31ec5409537703d9c8a47350386b32a">heavy_light_decomposition.cpp</a>
</li>
<li>test_3d_classes()
: <a class="el" href="d9/d49/kohonen__som__trace_8cpp.html#a9ab8c79ffb674a63f151f282faeb723b">kohonen_som_trace.cpp</a>
@@ -212,28 +213,28 @@ $(document).ready(function(){initNavTree('globals_func_t.html',''); initResizabl
: <a class="el" href="d7/d75/postfix__evaluation_8cpp.html#a5b97d12e8b61484f756a8721992bfae1">postfix_evaluation.cpp</a>
</li>
<li>test_int()
: <a class="el" href="d4/d7a/shell__sort2_8cpp.html#a895b313cb2671e8f712040460325573e">shell_sort2.cpp</a>
, <a class="el" href="d3/d4c/quick__sort__3_8cpp.html#a07e5c62de28aeddea986890ce7ac1bda">quick_sort_3.cpp</a>
: <a class="el" href="d3/d4c/quick__sort__3_8cpp.html#a07e5c62de28aeddea986890ce7ac1bda">quick_sort_3.cpp</a>
, <a class="el" href="d4/d7a/shell__sort2_8cpp.html#a895b313cb2671e8f712040460325573e">shell_sort2.cpp</a>
</li>
<li>test_lamniscate()
: <a class="el" href="d9/d49/kohonen__som__trace_8cpp.html#a412b7afa156306b1f8788643c91a1c60">kohonen_som_trace.cpp</a>
</li>
<li>tests()
: <a class="el" href="d9/d44/magic__number_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">magic_number.cpp</a>
, <a class="el" href="d1/d9a/hopcroft__karp_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">hopcroft_karp.cpp</a>
, <a class="el" href="d0/da2/number__of__positive__divisors_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">number_of_positive_divisors.cpp</a>
, <a class="el" href="d6/d42/miller__rabin_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">miller_rabin.cpp</a>
, <a class="el" href="d9/dfd/comb__sort_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">comb_sort.cpp</a>
, <a class="el" href="df/d82/breadth__first__search_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">breadth_first_search.cpp</a>
, <a class="el" href="d7/d89/double__factorial_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">double_factorial.cpp</a>
, <a class="el" href="dd/d0d/insertion__sort_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">insertion_sort.cpp</a>
, <a class="el" href="d8/ddf/sieve__of__eratosthenes_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">sieve_of_eratosthenes.cpp</a>
, <a class="el" href="d1/d9a/hopcroft__karp_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">hopcroft_karp.cpp</a>
, <a class="el" href="d5/d67/complex__numbers_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">complex_numbers.cpp</a>
, <a class="el" href="d9/dfd/comb__sort_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">comb_sort.cpp</a>
, <a class="el" href="df/ddd/connected__components_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">connected_components.cpp</a>
, <a class="el" href="d7/d1e/graph_2dijkstra_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">dijkstra.cpp</a>
, <a class="el" href="de/dde/lowest__common__ancestor_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">lowest_common_ancestor.cpp</a>
, <a class="el" href="d8/dd5/check__factorial_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">check_factorial.cpp</a>
, <a class="el" href="d8/ddf/sieve__of__eratosthenes_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">sieve_of_eratosthenes.cpp</a>
, <a class="el" href="d5/d67/complex__numbers_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">complex_numbers.cpp</a>
, <a class="el" href="d6/d42/miller__rabin_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">miller_rabin.cpp</a>
, <a class="el" href="d0/da2/number__of__positive__divisors_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">number_of_positive_divisors.cpp</a>
, <a class="el" href="df/d82/breadth__first__search_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">breadth_first_search.cpp</a>
, <a class="el" href="d4/d21/least__common__multiple_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">least_common_multiple.cpp</a>
, <a class="el" href="d7/d1e/graph_2dijkstra_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">dijkstra.cpp</a>
, <a class="el" href="df/ddd/connected__components_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">connected_components.cpp</a>
</li>
<li>TH()
: <a class="el" href="db/d3c/tower__of__hanoi_8cpp.html#ab037f72a5eac476535a6cfbbcb965417">tower_of_hanoi.cpp</a>

31
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@@ -101,44 +101,44 @@ $(document).ready(function(){initNavTree('globals_m.html',''); initResizable();
, <a class="el" href="da/dc3/linked__list_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">linked_list.cpp</a>
, <a class="el" href="da/d8d/depth__first__search_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">depth_first_search.cpp</a>
, <a class="el" href="d4/d45/gcd__recursive__euclidean_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">gcd_recursive_euclidean.cpp</a>
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, <a class="el" href="d2/d21/gnome__sort_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">gnome_sort.cpp</a>
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, <a class="el" href="d5/d4c/group__sorting.html#gae66f6b31b5ad750f1fe042a706a4e3d4">merge_sort.cpp</a>
, <a class="el" href="d3/dce/linkedlist__implentation__usingarray_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">linkedlist_implentation_usingarray.cpp</a>
, <a class="el" href="dd/d0c/hamiltons__cycle_8cpp.html#a3c04138a5bfe5d72780bb7e82a18e627">hamiltons_cycle.cpp</a>
, <a class="el" href="d9/d44/magic__number_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">magic_number.cpp</a>
, <a class="el" href="d5/d4c/group__sorting.html#gae66f6b31b5ad750f1fe042a706a4e3d4">merge_sort.cpp</a>
, <a class="el" href="d3/d92/pancake__sort_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">pancake_sort.cpp</a>
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, <a class="el" href="d6/d2c/caesar__cipher_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">caesar_cipher.cpp</a>
, <a class="el" href="df/dd0/queue__using__two__stacks_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">queue_using_two_stacks.cpp</a>
, <a class="el" href="d6/dd8/is__graph__bipartite_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">is_graph_bipartite.cpp</a>
, <a class="el" href="d0/da2/number__of__positive__divisors_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">number_of_positive_divisors.cpp</a>
, <a class="el" href="df/def/power__for__huge__numbers_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">power_for_huge_numbers.cpp</a>
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, <a class="el" href="de/dde/lowest__common__ancestor_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">lowest_common_ancestor.cpp</a>
, <a class="el" href="db/d0d/prime__factorization_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">prime_factorization.cpp</a>
, <a class="el" href="de/d9b/prime__numbers_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">prime_numbers.cpp</a>
, <a class="el" href="d4/d9c/primes__up__to__billion_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">primes_up_to_billion.cpp</a>
, <a class="el" href="dc/db5/text__search_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">text_search.cpp</a>
, <a class="el" href="dc/dfe/ternary__search_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">ternary_search.cpp</a>
, <a class="el" href="d9/d69/median__search_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">median_search.cpp</a>
, <a class="el" href="d9/d02/linear__search_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">linear_search.cpp</a>
@@ -188,10 +188,11 @@ $(document).ready(function(){initNavTree('globals_m.html',''); initResizable();
, <a class="el" href="d4/d9d/sum__of__binomial__coefficient_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">sum_of_binomial_coefficient.cpp</a>
, <a class="el" href="de/d47/string__fibonacci_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">string_fibonacci.cpp</a>
, <a class="el" href="da/d24/sqrt__double_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">sqrt_double.cpp</a>
, <a class="el" href="d8/ddf/sieve__of__eratosthenes_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">sieve_of_eratosthenes.cpp</a>
, <a class="el" href="d0/d5a/skip__list_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">skip_list.cpp</a>
, <a class="el" href="da/d77/spirograph_8cpp.html#a3c04138a5bfe5d72780bb7e82a18e627">spirograph.cpp</a>
, <a class="el" href="d4/d9c/primes__up__to__billion_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">primes_up_to_billion.cpp</a>
, <a class="el" href="d0/d08/realtime__stats_8cpp.html#a3c04138a5bfe5d72780bb7e82a18e627">realtime_stats.cpp</a>
, <a class="el" href="d8/ddf/sieve__of__eratosthenes_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">sieve_of_eratosthenes.cpp</a>
, <a class="el" href="df/d64/jumpgame_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">jumpgame.cpp</a>
, <a class="el" href="da/dac/n__queens__all__solution__optimised_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">n_queens_all_solution_optimised.cpp</a>
, <a class="el" href="d7/db9/hill__cipher_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">hill_cipher.cpp</a>

53
globals_t.html
View File

@@ -101,9 +101,10 @@ $(document).ready(function(){initNavTree('globals_t.html',''); initResizable();
, <a class="el" href="d8/d76/morse__code_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">morse_code.cpp</a>
, <a class="el" href="db/d16/0__1__knapsack_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">0_1_knapsack.cpp</a>
, <a class="el" href="d2/d58/neural__network_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">neural_network.cpp</a>
, <a class="el" href="d3/d92/pancake__sort_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">pancake_sort.cpp</a>
, <a class="el" href="dc/dd9/strand__sort_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">strand_sort.cpp</a>
, <a class="el" href="d5/d4c/group__sorting.html#gaa8dca7b867074164d5f45b0f3851269d">wiggle_sort.cpp</a>
, <a class="el" href="d4/d5d/math_2armstrong__number_8cpp.html#ae1a3968e7947464bee7714f6d43b7002">armstrong_number.cpp</a>
, <a class="el" href="d5/d4c/group__sorting.html#gaa8dca7b867074164d5f45b0f3851269d">wiggle_sort.cpp</a>
, <a class="el" href="d3/dfe/horspool_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">horspool.cpp</a>
, <a class="el" href="d6/d10/cut__rod_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">cut_rod.cpp</a>
, <a class="el" href="d5/df6/check__amicable__pair_8cpp.html#ae1a3968e7947464bee7714f6d43b7002">check_amicable_pair.cpp</a>
@@ -113,23 +114,23 @@ $(document).ready(function(){initNavTree('globals_t.html',''); initResizable();
, <a class="el" href="d9/d89/fibonacci_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">fibonacci.cpp</a>
, <a class="el" href="d5/d83/lcm__sum_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">lcm_sum.cpp</a>
, <a class="el" href="d7/d65/shortest__common__supersequence_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">shortest_common_supersequence.cpp</a>
, <a class="el" href="d0/d6d/modular__exponentiation_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">modular_exponentiation.cpp</a>
, <a class="el" href="d4/d9d/sum__of__binomial__coefficient_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">sum_of_binomial_coefficient.cpp</a>
, <a class="el" href="d4/d83/sum__of__digits_8cpp.html#ae1a3968e7947464bee7714f6d43b7002">sum_of_digits.cpp</a>
, <a class="el" href="d6/d2c/caesar__cipher_8cpp.html#ae1a3968e7947464bee7714f6d43b7002">caesar_cipher.cpp</a>
, <a class="el" href="d3/d4c/xor__cipher_8cpp.html#ae1a3968e7947464bee7714f6d43b7002">xor_cipher.cpp</a>
, <a class="el" href="d3/d84/word__break_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">word_break.cpp</a>
, <a class="el" href="d4/d83/sum__of__digits_8cpp.html#ae1a3968e7947464bee7714f6d43b7002">sum_of_digits.cpp</a>
, <a class="el" href="d0/d01/smallest__circle_8cpp.html#ae1a3968e7947464bee7714f6d43b7002">smallest_circle.cpp</a>
, <a class="el" href="d9/d69/median__search_8cpp.html#ae1a3968e7947464bee7714f6d43b7002">median_search.cpp</a>
, <a class="el" href="d4/d8d/jarvis__algorithm_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">jarvis_algorithm.cpp</a>
, <a class="el" href="d9/d69/median__search_8cpp.html#ae1a3968e7947464bee7714f6d43b7002">median_search.cpp</a>
, <a class="el" href="d5/ddb/bogo__sort_8cpp.html#ae1a3968e7947464bee7714f6d43b7002">bogo_sort.cpp</a>
, <a class="el" href="de/d07/cycle__sort_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">cycle_sort.cpp</a>
, <a class="el" href="d7/d83/trie__tree_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">trie_tree.cpp</a>
, <a class="el" href="d6/dd8/is__graph__bipartite_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">is_graph_bipartite.cpp</a>
, <a class="el" href="de/d07/cycle__sort_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">cycle_sort.cpp</a>
, <a class="el" href="d2/d21/gnome__sort_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">gnome_sort.cpp</a>
, <a class="el" href="d2/d52/heap__sort_8cpp.html#ae1a3968e7947464bee7714f6d43b7002">heap_sort.cpp</a>
, <a class="el" href="df/d64/jumpgame_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">jumpgame.cpp</a>
, <a class="el" href="d2/d52/heap__sort_8cpp.html#ae1a3968e7947464bee7714f6d43b7002">heap_sort.cpp</a>
, <a class="el" href="de/d7b/merge__insertion__sort_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">merge_insertion_sort.cpp</a>
, <a class="el" href="d3/d92/pancake__sort_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">pancake_sort.cpp</a>
</li>
<li>test1()
: <a class="el" href="d7/db9/hill__cipher_8cpp.html#a3147ad576f8a94a2a6b66948672b452b">hill_cipher.cpp</a>
@@ -147,27 +148,27 @@ $(document).ready(function(){initNavTree('globals_t.html',''); initResizable();
</li>
<li>test2()
: <a class="el" href="d7/db9/hill__cipher_8cpp.html#a04391124480d2a49f2dec900237b0712">hill_cipher.cpp</a>
, <a class="el" href="d0/d01/smallest__circle_8cpp.html#a0283886819c7c140a023582b7269e2d0">smallest_circle.cpp</a>
, <a class="el" href="de/d75/qr__eigen__values_8cpp.html#a0283886819c7c140a023582b7269e2d0">qr_eigen_values.cpp</a>
, <a class="el" href="dd/d0c/hamiltons__cycle_8cpp.html#a45d94ead4cf4e1ff9f87c38bc99f59ae">hamiltons_cycle.cpp</a>
, <a class="el" href="d5/db0/adaline__learning_8cpp.html#a379f7488a305f2571f2932b319931f82">adaline_learning.cpp</a>
, <a class="el" href="d4/def/kohonen__som__topology_8cpp.html#a0283886819c7c140a023582b7269e2d0">kohonen_som_topology.cpp</a>
, <a class="el" href="da/df2/durand__kerner__roots_8cpp.html#a0283886819c7c140a023582b7269e2d0">durand_kerner_roots.cpp</a>
, <a class="el" href="d9/d49/kohonen__som__trace_8cpp.html#a0283886819c7c140a023582b7269e2d0">kohonen_som_trace.cpp</a>
, <a class="el" href="d6/d9d/large__factorial_8cpp.html#a76aae4778fbe89a3d59fd61fbc050cfa">large_factorial.cpp</a>
, <a class="el" href="d4/d83/sum__of__digits_8cpp.html#a0283886819c7c140a023582b7269e2d0">sum_of_digits.cpp</a>
, <a class="el" href="db/d01/brent__method__extrema_8cpp.html#a0283886819c7c140a023582b7269e2d0">brent_method_extrema.cpp</a>
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</li>
<li>test3()
: <a class="el" href="db/d01/brent__method__extrema_8cpp.html#a6d0455dd5c30adda100e95f0423c786e">brent_method_extrema.cpp</a>
: <a class="el" href="d9/d49/kohonen__som__trace_8cpp.html#a6d0455dd5c30adda100e95f0423c786e">kohonen_som_trace.cpp</a>
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<li>test_1()
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: <a class="el" href="d9/d49/kohonen__som__trace_8cpp.html#a412b7afa156306b1f8788643c91a1c60">kohonen_som_trace.cpp</a>
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<li>TH()
: <a class="el" href="db/d3c/tower__of__hanoi_8cpp.html#ab037f72a5eac476535a6cfbbcb965417">tower_of_hanoi.cpp</a>

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